From 7c8125ed51ca9e82547575398a52e86c12e6bb49 Mon Sep 17 00:00:00 2001 From: Jin Date: Tue, 23 Nov 2021 13:17:28 +0800 Subject: [PATCH] Move from qitmeer --- .gitignore | 21 + common/big.go | 152 + common/big_test.go | 57 + common/bloom/example_test.go | 40 + common/bloom/filter.go | 348 + common/bloom/filter_test.go | 312 + common/bloom/merkleblock.go | 120 + common/bloom/merkleblock_test.go | 8 + common/bloom/murmurhash3.go | 68 + common/bloom/murmurhash3_test.go | 40 + common/bytes.go | 164 + common/bytes_test.go | 126 + common/encode/base58/alphabet.go | 50 + common/encode/base58/base58.go | 81 + common/encode/base58/base58_test.go | 99 + common/encode/base58/base58bench_test.go | 37 + common/encode/base58/base58check.go | 150 + common/encode/base58/base58check_test.go | 119 + common/encode/base58/example_test.go | 178 + common/encode/base58/genalphabet.go | 82 + common/encode/bech32/bech32.go | 466 + common/encode/bech32/bech32_test.go | 466 + common/encode/leb128/dwarf_mod.go | 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100644 params/params_test.go create mode 100644 params/params_testnet.go diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..d4db704 --- /dev/null +++ b/.gitignore @@ -0,0 +1,21 @@ +# See http://help.github.com/ignore-files/ for more about ignoring files. +# +# If you find yourself ignoring temporary files generated by your text editor +# or operating system, you probably want to add a global ignore instead: +.DS_Store +# used by the Makefile + +# travis + +# IdeaIDE +.idea + +# Folders +vendor +bin +build + +# Binaries +*.zip +*.tar.gz +*_checksum.txt diff --git a/common/big.go b/common/big.go new file mode 100644 index 0000000..0063f68 --- /dev/null +++ b/common/big.go @@ -0,0 +1,152 @@ +// Copyright 2017-2018 The qitmeer developers + +package common + +import ( + "fmt" + "math/big" +) + +var ( + Big0 = big.NewInt(0) + + // bigOne is 1 represented as a big.Int. It is defined here to avoid + // the overhead of creating it multiple times. + Big1 = big.NewInt(1) + + Big2 = big.NewInt(2) + Big256 = big.NewInt(0xff) + + tt256 = new(big.Int).Lsh(big.NewInt(1), 256) //2^256 + tt256m1 = new(big.Int).Sub(tt256, big.NewInt(1)) //2^256-1 + MaxBig256 = new(big.Int).Set(tt256m1) + + // to remove + tt255 = new(big.Int).Lsh(big.NewInt(1), 255) + tt255_ = BigPow(2, 255) + tt256_ = BigPow(2, 256) + tt256m1_ = new(big.Int).Sub(tt256, big.NewInt(1)) + tt63 = BigPow(2, 63) + MaxBig63 = new(big.Int).Sub(tt63, big.NewInt(1)) +) + +const ( + // number of bits in a big.Word + wordBits = 32 << (uint64(^big.Word(0)) >> 63) + // number of bytes in a big.Word + wordBytes = wordBits / 8 +) + +// BigPow returns a ** b as a big integer. +func BigPow(a, b int) *big.Int { + r := big.NewInt(int64(a)) + return r.Exp(r, big.NewInt(int64(b)), nil) +} + +// Compute x^n by using the binary powering algorithm (aka. the repeated square-and-multiply algorithm) +// Reference: Knuth's The Art of Computer Programming, Volume 2, The Seminumerical Algorithms +// 4.6.3. Evaluation of Powers +// Suppose, for example, that we need to compute x^16; we could simply start +// with x and multiply by x fifteen times. But it is possible to obtain the +// same answer with only four multiplications, if we repeatedly take the square +// of each partial result, successively forming x^2, x^4, x^8, x^16. +// The same idea applies, in general, to any value of n, in the following way: +// Write n in the binary number system (suppressing zeros at the left). Then replace each “1” +// by the pair of letters SX, replace each “0” by S, and cross off the “SX” that now appears +// at the left. The result is a rule for computing x^n, if “S” is interpreted as the operation +// of squaring, and if “X” is interpreted as the operation of multiplying by x. +// For example, if n = 23, its binary representation is 10111; so we form the sequence SX S SX SX SX +// and remove the leading SX to obtain the rule SSXSXSX. This rule states that we should “square, +// square, multiply by x, square, multiply by x, square, and multiply by x”; +// +// TODO : use Montgomery's ladder against side-channel attack +// Reference https://en.wikipedia.org/wiki/Exponentiation_by_squaring +// https://en.wikipedia.org/wiki/Exponentiation_by_squaring#Montgomery's_ladder_technique +// Montgomery, Peter L. (1987). "Speeding the Pollard and Elliptic Curve Methods of Factorization" +// +func Pow(x, n int) (uint64, error) { + input_x := x + input_n := n + result := uint64(1) + for n != 0 { + if n&1 != 0 { + //tmp := result*uint64(x) + if x != 0 && result < ((1<<64)-1)/uint64(x) { + result *= uint64(x) //odd, multiple + } else { + if x == 0 { + const MaxUint = 18446744073709551616 + return 0, fmt.Errorf("Pow(%d,%d) overfollow to do %v * %v", input_x, input_n, result, 0) + } + return 0, fmt.Errorf("Pow(%d,%d) overfollow to do %d * %d", input_x, input_n, result, x) + } + } + n >>= 1 //halve n + x *= x //even, square + } + return result, nil +} + +// only for showing algorithm +// compare to use BigPow +// 1000000 1621 ns/op BigPow +// 300000 4200 ns/op PowBig +func PowBig(x, n int) *big.Int { + tmp := big.NewInt(int64(x)) + res := Big1 + for n != 0 { + temp := new(big.Int) + if n&1 != 0 { + + temp.Mul(res, tmp) + res = temp + } + n >>= 1 + temp = new(big.Int) + temp.Mul(tmp, tmp) + tmp = temp + } + return res +} + +/* +func Pow(a, b int) int { + result := 1 + for b > 0 { + if b&1 != 0 { + result *= a + } + b >>= 1 + a *= a + } + return result +} +*/ + +// Compute x^n mod m by using the binary powering algorithm +// panic when m == 0 +func PowMod(x, n, m int) int { + result := 1 % m + x = x % m + for n != 0 { + if n&1 != 0 { + result = (result * x) % m + } + n >>= 1 + x = (x * x) % m + } + return result +} + +// ReadBits encodes the absolute value of bigint as big-endian bytes. Callers must ensure +// that buf has enough space. If buf is too short the result will be incomplete. +func ReadBits(bigint *big.Int, buf []byte) { + i := len(buf) + for _, d := range bigint.Bits() { + for j := 0; j < wordBytes && i > 0; j++ { + i-- + buf[i] = byte(d) + d >>= 8 + } + } +} diff --git a/common/big_test.go b/common/big_test.go new file mode 100644 index 0000000..d4b69a8 --- /dev/null +++ b/common/big_test.go @@ -0,0 +1,57 @@ +// Copyright 2017-2018 The qitmeer developers + +package common + +import ( + "bytes" + "encoding/hex" + "github.com/stretchr/testify/assert" + "math/big" + "testing" +) + +func TestBigPow(t *testing.T) { + a256 := new(big.Int).Lsh(big.NewInt(1), 256) + b256 := BigPow(2, 256) + assert.Equal(t, a256, b256) + assert.Equal(t, "115792089237316195423570985008687907853269984665640564039457584007913129639936", a256.String()) + + c256m1, _ := new(big.Int).SetString("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16) + assert.Equal(t, tt256m1, c256m1) +} + +// bad 1281 ns/op +func BenchmarkBigPow(b *testing.B) { + for i := 0; i < b.N; i++ { + BigPow(2, 255) + } +} + +// best 334 ns/op +func BenchmarkBigPow2(b *testing.B) { + for i := 0; i < b.N; i++ { + new(big.Int).Lsh(big.NewInt(1), 256) + } +} + +// worst 1860 ns/op +func BenchmarkBigPow3(b *testing.B) { + for i := 0; i < b.N; i++ { + new(big.Int).SetString("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 16) + } +} + +func TestReadBits(t *testing.T) { + check := func(input string) { + want, _ := hex.DecodeString(input) + int, _ := new(big.Int).SetString(input, 16) + buf := make([]byte, len(want)) + ReadBits(int, buf) + if !bytes.Equal(buf, want) { + t.Errorf("have: %x\nwant: %x", buf, want) + } + } + check("000000000000000000000000000000000000000000000000000000FEFCF3F8F0") + check("0000000000012345000000000000000000000000000000000000FEFCF3F8F0") + check("18F8F8F1000111000110011100222004330052300000000000000000FEFCF3F8F0") +} diff --git a/common/bloom/example_test.go b/common/bloom/example_test.go new file mode 100644 index 0000000..98c23c0 --- /dev/null +++ b/common/bloom/example_test.go @@ -0,0 +1,40 @@ +package bloom_test + +import ( + "fmt" + "github.com/Qitmeer/qng-core/common/bloom" + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/types" + "math/rand" + "time" +) + +// This example demonstrates how to create a new bloom filter, add a transaction +// hash to it, and check if the filter matches the transaction. +func ExampleNewFilter() { + rand.Seed(time.Now().UnixNano()) + tweak := rand.Uint32() + + // Create a new bloom filter intended to hold 10 elements with a 0.01% + // false positive rate and does not include any automatic update + // functionality when transactions are matched. + filter := bloom.NewFilter(10, tweak, 0.0001, types.BloomUpdateNone) + + // Create a transaction hash and add it to the filter. This particular + // trasaction is the first transaction in block 310,000 of the main + // bitcoin block chain. + txHashStr := "fd611c56ca0d378cdcd16244b45c2ba9588da3adac367c4ef43e808b280b8a45" + txHash, err := chainhash.NewHashFromStr(txHashStr) + if err != nil { + fmt.Println(err) + return + } + filter.AddHash(txHash) + + // Show that the filter matches. + matches := filter.Matches(txHash[:]) + fmt.Println("Filter Matches?:", matches) + + // Output: + // Filter Matches?: true +} diff --git a/common/bloom/filter.go b/common/bloom/filter.go new file mode 100644 index 0000000..b159d19 --- /dev/null +++ b/common/bloom/filter.go @@ -0,0 +1,348 @@ +package bloom + +import ( + "encoding/binary" + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/engine/txscript" + "math" + "sync" +) + +// ln2Squared is simply the square of the natural log of 2. +const ln2Squared = math.Ln2 * math.Ln2 + +// minUint32 is a convenience function to return the minimum value of the two +// passed uint32 values. +func minUint32(a, b uint32) uint32 { + if a < b { + return a + } + return b +} + +// Filter defines a bitcoin bloom filter that provides easy manipulation of raw +// filter data. +type Filter struct { + mtx sync.Mutex + msgFilterLoad *types.MsgFilterLoad +} + +// NewFilter creates a new bloom filter instance, mainly to be used by SPV +// clients. The tweak parameter is a random value added to the seed value. +// The false positive rate is the probability of a false positive where 1.0 is +// "match everything" and zero is unachievable. Thus, providing any false +// positive rates less than 0 or greater than 1 will be adjusted to the valid +// range. +// +// For more information on what values to use for both elements and fprate, +// see https://en.wikipedia.org/wiki/Bloom_filter. +func NewFilter(elements, tweak uint32, fprate float64, flags types.BloomUpdateType) *Filter { + // Massage the false positive rate to sane values. + if fprate > 1.0 { + fprate = 1.0 + } + if fprate < 1e-9 { + fprate = 1e-9 + } + + // Calculate the size of the filter in bytes for the given number of + // elements and false positive rate. + // + // Equivalent to m = -(n*ln(p) / ln(2)^2), where m is in bits. + // Then clamp it to the maximum filter size and convert to bytes. + dataLen := uint32(-1 * float64(elements) * math.Log(fprate) / ln2Squared) + dataLen = minUint32(dataLen, types.MaxFilterLoadFilterSize*8) / 8 + + // Calculate the number of hash functions based on the size of the + // filter calculated above and the number of elements. + // + // Equivalent to k = (m/n) * ln(2) + // Then clamp it to the maximum allowed hash funcs. + hashFuncs := uint32(float64(dataLen*8) / float64(elements) * math.Ln2) + hashFuncs = minUint32(hashFuncs, types.MaxFilterLoadHashFuncs) + + data := make([]byte, dataLen) + msg := types.NewMsgFilterLoad(data, hashFuncs, tweak, flags) + + return &Filter{ + msgFilterLoad: msg, + } +} + +// LoadFilter creates a new Filter instance with the given underlying +// types.MsgFilterLoad. +func LoadFilter(filter *types.MsgFilterLoad) *Filter { + return &Filter{ + msgFilterLoad: filter, + } +} + +// IsLoaded returns true if a filter is loaded, otherwise false. +// +// This function is safe for concurrent access. +func (bf *Filter) IsLoaded() bool { + bf.mtx.Lock() + loaded := bf.msgFilterLoad != nil + bf.mtx.Unlock() + return loaded +} + +// Reload loads a new filter replacing any existing filter. +// +// This function is safe for concurrent access. +func (bf *Filter) Reload(filter *types.MsgFilterLoad) { + bf.mtx.Lock() + bf.msgFilterLoad = filter + bf.mtx.Unlock() +} + +// Unload unloads the bloom filter. +// +// This function is safe for concurrent access. +func (bf *Filter) Unload() { + bf.mtx.Lock() + bf.msgFilterLoad = nil + bf.mtx.Unlock() +} + +// hash returns the bit offset in the bloom filter which corresponds to the +// passed data for the given indepedent hash function number. +func (bf *Filter) hash(hashNum uint32, data []byte) uint32 { + // bitcoind: 0xfba4c795 chosen as it guarantees a reasonable bit + // difference between hashNum values. + // + // Note that << 3 is equivalent to multiplying by 8, but is faster. + // Thus the returned hash is brought into range of the number of bits + // the filter has and returned. + mm := MurmurHash3(hashNum*0xfba4c795+bf.msgFilterLoad.Tweak, data) + return mm % (uint32(len(bf.msgFilterLoad.Filter)) << 3) +} + +// matches returns true if the bloom filter might contain the passed data and +// false if it definitely does not. +// +// This function MUST be called with the filter lock held. +func (bf *Filter) matches(data []byte) bool { + if bf.msgFilterLoad == nil { + return false + } + + // The bloom filter does not contain the data if any of the bit offsets + // which result from hashing the data using each independent hash + // function are not set. The shifts and masks below are a faster + // equivalent of: + // arrayIndex := idx / 8 (idx >> 3) + // bitOffset := idx % 8 (idx & 7) + /// if filter[arrayIndex] & 1<>3]&(1<<(idx&7)) == 0 { + return false + } + } + return true +} + +// Matches returns true if the bloom filter might contain the passed data and +// false if it definitely does not. +// +// This function is safe for concurrent access. +func (bf *Filter) Matches(data []byte) bool { + bf.mtx.Lock() + match := bf.matches(data) + bf.mtx.Unlock() + return match +} + +// matchesOutPoint returns true if the bloom filter might contain the passed +// outpoint and false if it definitely does not. +// +// This function MUST be called with the filter lock held. +func (bf *Filter) matchesOutPoint(outpoint *types.TxOutPoint) bool { + // Serialize + var buf [chainhash.HashSize + 4]byte + copy(buf[:], outpoint.Hash[:]) + binary.LittleEndian.PutUint32(buf[chainhash.HashSize:], outpoint.OutIndex) + + return bf.matches(buf[:]) +} + +// MatchesOutPoint returns true if the bloom filter might contain the passed +// outpoint and false if it definitely does not. +// +// This function is safe for concurrent access. +func (bf *Filter) MatchesOutPoint(outpoint *types.TxOutPoint) bool { + bf.mtx.Lock() + match := bf.matchesOutPoint(outpoint) + bf.mtx.Unlock() + return match +} + +// add adds the passed byte slice to the bloom filter. +// +// This function MUST be called with the filter lock held. +func (bf *Filter) add(data []byte) { + if bf.msgFilterLoad == nil { + return + } + + // Adding data to a bloom filter consists of setting all of the bit + // offsets which result from hashing the data using each independent + // hash function. The shifts and masks below are a faster equivalent + // of: + // arrayIndex := idx / 8 (idx >> 3) + // bitOffset := idx % 8 (idx & 7) + /// filter[arrayIndex] |= 1<>3] |= (1 << (7 & idx)) + } +} + +// Add adds the passed byte slice to the bloom filter. +// +// This function is safe for concurrent access. +func (bf *Filter) Add(data []byte) { + bf.mtx.Lock() + bf.add(data) + bf.mtx.Unlock() +} + +// AddHash adds the passed chainhash.Hash to the Filter. +// +// This function is safe for concurrent access. +func (bf *Filter) AddHash(hash *chainhash.Hash) { + bf.mtx.Lock() + bf.add(hash[:]) + bf.mtx.Unlock() +} + +// addOutPoint adds the passed transaction outpoint to the bloom filter. +// +// This function MUST be called with the filter lock held. +func (bf *Filter) addOutPoint(outpoint *types.TxOutPoint) { + // Serialize + var buf [chainhash.HashSize + 4]byte + copy(buf[:], outpoint.Hash[:]) + binary.LittleEndian.PutUint32(buf[chainhash.HashSize:], outpoint.OutIndex) + + bf.add(buf[:]) +} + +// AddOutPoint adds the passed transaction outpoint to the bloom filter. +// +// This function is safe for concurrent access. +func (bf *Filter) AddOutPoint(outpoint *types.TxOutPoint) { + bf.mtx.Lock() + bf.addOutPoint(outpoint) + bf.mtx.Unlock() +} + +// maybeAddOutpoint potentially adds the passed outpoint to the bloom filter +// depending on the bloom update flags and the type of the passed public key +// script. +// +// This function MUST be called with the filter lock held. +func (bf *Filter) maybeAddOutpoint(pkScript []byte, outHash *chainhash.Hash, outIdx uint32) { + switch bf.msgFilterLoad.Flags { + case types.BloomUpdateAll: + outpoint := types.NewOutPoint(outHash, outIdx) + bf.addOutPoint(outpoint) + case types.BloomUpdateP2PubkeyOnly: + class := txscript.GetScriptClass(txscript.DefaultScriptVersion, pkScript) + if class == txscript.PubKeyTy || class == txscript.MultiSigTy { + outpoint := types.NewOutPoint(outHash, outIdx) + bf.addOutPoint(outpoint) + } + } +} + +// matchTxAndUpdate returns true if the bloom filter matches data within the +// passed transaction, otherwise false is returned. If the filter does match +// the passed transaction, it will also update the filter depending on the bloom +// update flags set via the loaded filter if needed. +// +// This function MUST be called with the filter lock held. +func (bf *Filter) matchTxAndUpdate(tx *types.Tx) bool { + // Check if the filter matches the hash of the transaction. + // This is useful for finding transactions when they appear in a block. + matched := bf.matches(tx.Hash()[:]) + + // Check if the filter matches any data elements in the public key + // scripts of any of the outputs. When it does, add the outpoint that + // matched so transactions which spend from the matched transaction are + // also included in the filter. This removes the burden of updating the + // filter for this scenario from the client. It is also more efficient + // on the network since it avoids the need for another filteradd message + // from the client and avoids some potential races that could otherwise + // occur. + for i, txOut := range tx.Tx.TxOut { + pushedData, err := txscript.PushedData(txOut.PkScript) + if err != nil { + continue + } + + for _, data := range pushedData { + if !bf.matches(data) { + continue + } + + matched = true + bf.maybeAddOutpoint(txOut.PkScript, tx.Hash(), uint32(i)) + break + } + } + + // Nothing more to do if a match has already been made. + if matched { + return true + } + + // At this point, the transaction and none of the data elements in the + // public key scripts of its outputs matched. + + // Check if the filter matches any outpoints this transaction spends or + // any any data elements in the signature scripts of any of the inputs. + for _, txin := range tx.Tx.TxIn { + if bf.matchesOutPoint(&txin.PreviousOut) { + return true + } + + pushedData, err := txscript.PushedData(txin.SignScript) + if err != nil { + continue + } + for _, data := range pushedData { + if bf.matches(data) { + return true + } + } + } + + return false +} + +// MatchTxAndUpdate returns true if the bloom filter matches data within the +// passed transaction, otherwise false is returned. If the filter does match +// the passed transaction, it will also update the filter depending on the bloom +// update flags set via the loaded filter if needed. +// +// This function is safe for concurrent access. +func (bf *Filter) MatchTxAndUpdate(tx *types.Tx) bool { + bf.mtx.Lock() + match := bf.matchTxAndUpdate(tx) + bf.mtx.Unlock() + return match +} + +// MsgFilterLoad returns the underlying wire.MsgFilterLoad for the bloom +// filter. +// +// This function is safe for concurrent access. +func (bf *Filter) MsgFilterLoad() *types.MsgFilterLoad { + bf.mtx.Lock() + msg := bf.msgFilterLoad + bf.mtx.Unlock() + return msg +} diff --git a/common/bloom/filter_test.go b/common/bloom/filter_test.go new file mode 100644 index 0000000..bcd67ee --- /dev/null +++ b/common/bloom/filter_test.go @@ -0,0 +1,312 @@ +package bloom_test + +import ( + "bytes" + "encoding/hex" + "github.com/Qitmeer/qng-core/common/bloom" + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types" + "testing" +) + +// TestFilterLarge ensures a maximum sized filter can be created. +func TestFilterLarge(t *testing.T) { + f := bloom.NewFilter(100000000, 0, 0.01, types.BloomUpdateNone) + if len(f.MsgFilterLoad().Filter) > types.MaxFilterLoadFilterSize { + t.Errorf("TestFilterLarge test failed: %d > %d", + len(f.MsgFilterLoad().Filter), types.MaxFilterLoadFilterSize) + } +} + +// TestFilterLoad ensures loading and unloading of a filter pass. +func TestFilterLoad(t *testing.T) { + merkle := types.MsgFilterLoad{} + + f := bloom.LoadFilter(&merkle) + if !f.IsLoaded() { + t.Errorf("TestFilterLoad IsLoaded test failed: want %v got %v", + true, !f.IsLoaded()) + return + } + f.Unload() + if f.IsLoaded() { + t.Errorf("TestFilterLoad IsLoaded test failed: want %v got %v", + f.IsLoaded(), false) + return + } +} + +// TestFilterInsert ensures inserting data into the filter causes that data +// to be matched and the resulting serialized MsgFilterLoad is the expected +// value. +func TestFilterInsert(t *testing.T) { + var tests = []struct { + hex string + insert bool + }{ + {"99108ad8ed9bb6274d3980bab5a85c048f0950c8", true}, + {"19108ad8ed9bb6274d3980bab5a85c048f0950c8", false}, + {"b5a2c786d9ef4658287ced5914b37a1b4aa32eee", true}, + {"b9300670b4c5366e95b2699e8b18bc75e5f729c5", true}, + } + + f := bloom.NewFilter(3, 0, 0.01, types.BloomUpdateAll) + + for i, test := range tests { + data, err := hex.DecodeString(test.hex) + if err != nil { + t.Errorf("TestFilterInsert DecodeString failed: %v\n", err) + return + } + if test.insert { + f.Add(data) + } + + result := f.Matches(data) + if test.insert != result { + t.Errorf("TestFilterInsert Matches test #%d failure: got %v want %v\n", + i, result, test.insert) + return + } + } + + want, err := hex.DecodeString("03614e9b050000000000000001") + if err != nil { + t.Errorf("TestFilterInsert DecodeString failed: %v\n", err) + return + } + + got := bytes.NewBuffer(nil) + err = f.MsgFilterLoad().QitmeerEncode(got, protocol.ProtocolVersion, types.BaseEncoding) + if err != nil { + t.Errorf("TestFilterInsert BtcDecode failed: %v\n", err) + return + } + + if !bytes.Equal(got.Bytes(), want) { + t.Errorf("TestFilterInsert failure: got %v want %v\n", + got.Bytes(), want) + return + } +} + +// TestFilterFPRange checks that new filters made with out of range +// false positive targets result in either max or min false positive rates. +func TestFilterFPRange(t *testing.T) { + tests := []struct { + name string + hash string + want string + filter *bloom.Filter + }{ + { + name: "fprates > 1 should be clipped at 1", + hash: "02981fa052f0481dbc5868f4fc2166035a10f27a03cfd2de67326471df5bc041", + want: "00000000000000000001", + filter: bloom.NewFilter(1, 0, 20.9999999769, types.BloomUpdateAll), + }, + { + name: "fprates less than 1e-9 should be clipped at min", + hash: "02981fa052f0481dbc5868f4fc2166035a10f27a03cfd2de67326471df5bc041", + want: "0566d97a91a91b0000000000000001", + filter: bloom.NewFilter(1, 0, 0, types.BloomUpdateAll), + }, + { + name: "negative fprates should be clipped at min", + hash: "02981fa052f0481dbc5868f4fc2166035a10f27a03cfd2de67326471df5bc041", + want: "0566d97a91a91b0000000000000001", + filter: bloom.NewFilter(1, 0, -1, types.BloomUpdateAll), + }, + } + + for _, test := range tests { + // Convert test input to appropriate types. + hash, err := chainhash.NewHashFromStr(test.hash) + if err != nil { + t.Errorf("NewHashFromStr unexpected error: %v", err) + continue + } + want, err := hex.DecodeString(test.want) + if err != nil { + t.Errorf("DecodeString unexpected error: %v\n", err) + continue + } + + // Add the test hash to the bloom filter and ensure the + // filter serializes to the expected bytes. + f := test.filter + f.AddHash(hash) + got := bytes.NewBuffer(nil) + err = f.MsgFilterLoad().QitmeerEncode(got, protocol.ProtocolVersion, types.BaseEncoding) + if err != nil { + t.Errorf("BtcDecode unexpected error: %v\n", err) + continue + } + if !bytes.Equal(got.Bytes(), want) { + t.Errorf("serialized filter mismatch: got %x want %x\n", + got.Bytes(), want) + continue + } + } +} + +// TestFilterInsert ensures inserting data into the filter with a tweak causes +// that data to be matched and the resulting serialized MsgFilterLoad is the +// expected value. +func TestFilterInsertWithTweak(t *testing.T) { + var tests = []struct { + hex string + insert bool + }{ + {"99108ad8ed9bb6274d3980bab5a85c048f0950c8", true}, + {"19108ad8ed9bb6274d3980bab5a85c048f0950c8", false}, + {"b5a2c786d9ef4658287ced5914b37a1b4aa32eee", true}, + {"b9300670b4c5366e95b2699e8b18bc75e5f729c5", true}, + } + + f := bloom.NewFilter(3, 2147483649, 0.01, types.BloomUpdateAll) + + for i, test := range tests { + data, err := hex.DecodeString(test.hex) + if err != nil { + t.Errorf("TestFilterInsertWithTweak DecodeString failed: %v\n", err) + return + } + if test.insert { + f.Add(data) + } + + result := f.Matches(data) + if test.insert != result { + t.Errorf("TestFilterInsertWithTweak Matches test #%d failure: got %v want %v\n", + i, result, test.insert) + return + } + } + + want, err := hex.DecodeString("03ce4299050000000100008001") + if err != nil { + t.Errorf("TestFilterInsertWithTweak DecodeString failed: %v\n", err) + return + } + got := bytes.NewBuffer(nil) + err = f.MsgFilterLoad().QitmeerEncode(got, protocol.ProtocolVersion, types.BaseEncoding) + if err != nil { + t.Errorf("TestFilterInsertWithTweak BtcDecode failed: %v\n", err) + return + } + + if !bytes.Equal(got.Bytes(), want) { + t.Errorf("TestFilterInsertWithTweak failure: got %v want %v\n", + got.Bytes(), want) + return + } +} + +func TestFilterBloomMatch(t *testing.T) { + // genesis coinbase tx bytes + str := "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" + strBytes, err := hex.DecodeString(str) + if err != nil { + t.Errorf("TestFilterBloomMatch DecodeString failure: %v", err) + return + } + tx, err := types.NewTxFromBytes(strBytes) + if err != nil { + t.Errorf("TestFilterBloomMatch NewTxFromBytes failure: %v", err) + return + } + spendingTxBytes, _ := hex.DecodeString("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") + + spendingTx, err := types.NewTxFromBytes(spendingTxBytes) + if err != nil { + t.Errorf("TestFilterBloomMatch NewTxFromBytes failure: %v", err) + return + } + + f := bloom.NewFilter(10, 0, 0.000001, types.BloomUpdateAll) + // pubkey + inputStr := "37733b37b9f09ce024a5ffbd4570fc1e242c907a" + hashBytes, err := hex.DecodeString(inputStr) + if err != nil { + t.Errorf("TestFilterBloomMatch DecodeString failed: %v\n", err) + return + } + f.Add(hashBytes) + if !f.MatchTxAndUpdate(tx) { + t.Errorf("TestFilterBloomMatch didn't match hash %s", inputStr) + } + f = bloom.NewFilter(10, 0, 0.000001, types.BloomUpdateAll) + outpoint := types.NewOutPoint(tx.Hash(), 0) + f.AddOutPoint(outpoint) + if !f.MatchTxAndUpdate(spendingTx) { + t.Errorf("TestFilterBloomMatch matched outpoint %s", inputStr) + } + +} + +func TestFilterInsertUpdateNone(t *testing.T) { + f := bloom.NewFilter(10, 0, 0.000001, types.BloomUpdateNone) + + // Add the generation pubkey + inputStr := "04eaafc2314def4ca98ac970241bcab022b9c1e1f4ea423a20f134c" + + "876f2c01ec0f0dd5b2e86e7168cefe0d81113c3807420ce13ad1357231a" + + "2252247d97a46a91" + inputBytes, err := hex.DecodeString(inputStr) + if err != nil { + t.Errorf("TestFilterInsertUpdateNone DecodeString failed: %v", err) + return + } + f.Add(inputBytes) + + // Add the output address for the 4th transaction + inputStr = "b6efd80d99179f4f4ff6f4dd0a007d018c385d21" + inputBytes, err = hex.DecodeString(inputStr) + if err != nil { + t.Errorf("TestFilterInsertUpdateNone DecodeString failed: %v", err) + return + } + f.Add(inputBytes) + + inputStr = "147caa76786596590baa4e98f5d9f48b86c7765e489f7a6ff3360fe5c674360b" + hash, err := chainhash.NewHashFromStr(inputStr) + if err != nil { + t.Errorf("TestFilterInsertUpdateNone NewHashFromStr failed: %v", err) + return + } + outpoint := types.NewOutPoint(hash, 0) + + if f.MatchesOutPoint(outpoint) { + t.Errorf("TestFilterInsertUpdateNone matched outpoint %s", inputStr) + return + } + + inputStr = "02981fa052f0481dbc5868f4fc2166035a10f27a03cfd2de67326471df5bc041" + hash, err = chainhash.NewHashFromStr(inputStr) + if err != nil { + t.Errorf("TestFilterInsertUpdateNone NewHashFromStr failed: %v", err) + return + } + outpoint = types.NewOutPoint(hash, 0) + + if f.MatchesOutPoint(outpoint) { + t.Errorf("TestFilterInsertUpdateNone matched outpoint %s", inputStr) + return + } +} + +func TestFilterReload(t *testing.T) { + f := bloom.NewFilter(10, 0, 0.000001, types.BloomUpdateAll) + + bFilter := bloom.LoadFilter(f.MsgFilterLoad()) + if bFilter.MsgFilterLoad() == nil { + t.Errorf("TestFilterReload LoadFilter test failed") + return + } + bFilter.Reload(nil) + + if bFilter.MsgFilterLoad() != nil { + t.Errorf("TestFilterReload Reload test failed") + } +} diff --git a/common/bloom/merkleblock.go b/common/bloom/merkleblock.go new file mode 100644 index 0000000..1efc5b7 --- /dev/null +++ b/common/bloom/merkleblock.go @@ -0,0 +1,120 @@ +package bloom + +import ( + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/merkle" + "github.com/Qitmeer/qng-core/core/types" +) + +// merkleBlock is used to house intermediate information needed to generate a +// types.MsgMerkleBlock according to a filter. +type merkleBlock struct { + numTx uint32 + allHashes []*chainhash.Hash + finalHashes []*chainhash.Hash + matchedBits []byte + bits []byte +} + +// calcTreeWidth calculates and returns the the number of nodes (width) or a +// merkle tree at the given depth-first height. +func (m *merkleBlock) calcTreeWidth(height uint32) uint32 { + return (m.numTx + (1 << height) - 1) >> height +} + +// calcHash returns the hash for a sub-tree given a depth-first height and +// node position. +func (m *merkleBlock) calcHash(height, pos uint32) *chainhash.Hash { + if height == 0 { + return m.allHashes[pos] + } + + var right *chainhash.Hash + left := m.calcHash(height-1, pos*2) + if pos*2+1 < m.calcTreeWidth(height-1) { + right = m.calcHash(height-1, pos*2+1) + } else { + right = left + } + return merkle.HashMerkleBranches(left, right) +} + +// traverseAndBuild builds a partial merkle tree using a recursive depth-first +// approach. As it calculates the hashes, it also saves whether or not each +// node is a parent node and a list of final hashes to be included in the +// merkle block. +func (m *merkleBlock) traverseAndBuild(height, pos uint32) { + // Determine whether this node is a parent of a matched node. + var isParent byte + for i := pos << height; i < (pos+1)< 1 { + height++ + } + + // Build the depth-first partial merkle tree. + mBlock.traverseAndBuild(height, 0) + + // Create and return the merkle block. + msgMerkleBlock := types.MsgMerkleBlock{ + Header: block.Block().Header, + Transactions: mBlock.numTx, + Hashes: make([]*chainhash.Hash, 0, len(mBlock.finalHashes)), + Flags: make([]byte, (len(mBlock.bits)+7)/8), + } + for _, hash := range mBlock.finalHashes { + msgMerkleBlock.AddTxHash(hash) + } + for i := uint32(0); i < uint32(len(mBlock.bits)); i++ { + msgMerkleBlock.Flags[i/8] |= mBlock.bits[i] << (i % 8) + } + return &msgMerkleBlock, matchedIndices +} diff --git a/common/bloom/merkleblock_test.go b/common/bloom/merkleblock_test.go new file mode 100644 index 0000000..9872891 --- /dev/null +++ b/common/bloom/merkleblock_test.go @@ -0,0 +1,8 @@ +package bloom_test + +import ( + "testing" +) + +func TestMerkleBlock3(t *testing.T) { +} diff --git a/common/bloom/murmurhash3.go b/common/bloom/murmurhash3.go new file mode 100644 index 0000000..b77dc10 --- /dev/null +++ b/common/bloom/murmurhash3.go @@ -0,0 +1,68 @@ +package bloom + +import ( + "encoding/binary" +) + +// The following constants are used by the MurmurHash3 algorithm. +const ( + murmurC1 = 0xcc9e2d51 + murmurC2 = 0x1b873593 + murmurR1 = 15 + murmurR2 = 13 + murmurM = 5 + murmurN = 0xe6546b64 +) + +// MurmurHash3 implements a non-cryptographic hash function using the +// MurmurHash3 algorithm. This implementation yields a 32-bit hash value which +// is suitable for general hash-based lookups. The seed can be used to +// effectively randomize the hash function. This makes it ideal for use in +// bloom filters which need multiple independent hash functions. +func MurmurHash3(seed uint32, data []byte) uint32 { + dataLen := uint32(len(data)) + hash := seed + k := uint32(0) + numBlocks := dataLen / 4 + + // Calculate the hash in 4-byte chunks. + for i := uint32(0); i < numBlocks; i++ { + k = binary.LittleEndian.Uint32(data[i*4:]) + k *= murmurC1 + k = (k << murmurR1) | (k >> (32 - murmurR1)) + k *= murmurC2 + + hash ^= k + hash = (hash << murmurR2) | (hash >> (32 - murmurR2)) + hash = hash*murmurM + murmurN + } + + // Handle remaining bytes. + tailIdx := numBlocks * 4 + k = 0 + + switch dataLen & 3 { + case 3: + k ^= uint32(data[tailIdx+2]) << 16 + fallthrough + case 2: + k ^= uint32(data[tailIdx+1]) << 8 + fallthrough + case 1: + k ^= uint32(data[tailIdx]) + k *= murmurC1 + k = (k << murmurR1) | (k >> (32 - murmurR1)) + k *= murmurC2 + hash ^= k + } + + // Finalization. + hash ^= dataLen + hash ^= hash >> 16 + hash *= 0x85ebca6b + hash ^= hash >> 13 + hash *= 0xc2b2ae35 + hash ^= hash >> 16 + + return hash +} diff --git a/common/bloom/murmurhash3_test.go b/common/bloom/murmurhash3_test.go new file mode 100644 index 0000000..e04b3ed --- /dev/null +++ b/common/bloom/murmurhash3_test.go @@ -0,0 +1,40 @@ +package bloom_test + +import ( + "github.com/Qitmeer/qng-core/common/bloom" + "testing" +) + +// TestMurmurHash3 ensure the MurmurHash3 function produces the correct hash +// when given various seeds and data. +func TestMurmurHash3(t *testing.T) { + var tests = []struct { + seed uint32 + data []byte + out uint32 + }{ + {0x00000000, []byte{}, 0x00000000}, + {0xfba4c795, []byte{}, 0x6a396f08}, + {0xffffffff, []byte{}, 0x81f16f39}, + {0x00000000, []byte{0x00}, 0x514e28b7}, + {0xfba4c795, []byte{0x00}, 0xea3f0b17}, + {0x00000000, []byte{0xff}, 0xfd6cf10d}, + {0x00000000, []byte{0x00, 0x11}, 0x16c6b7ab}, + {0x00000000, []byte{0x00, 0x11, 0x22}, 0x8eb51c3d}, + {0x00000000, []byte{0x00, 0x11, 0x22, 0x33}, 0xb4471bf8}, + {0x00000000, []byte{0x00, 0x11, 0x22, 0x33, 0x44}, 0xe2301fa8}, + {0x00000000, []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55}, 0xfc2e4a15}, + {0x00000000, []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66}, 0xb074502c}, + {0x00000000, []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77}, 0x8034d2a0}, + {0x00000000, []byte{0x00, 0x11, 0x22, 0x33, 0x44, 0x55, 0x66, 0x77, 0x88}, 0xb4698def}, + } + + for i, test := range tests { + result := bloom.MurmurHash3(test.seed, test.data) + if result != test.out { + t.Errorf("MurmurHash3 test #%d failed: got %v want %v\n", + i, result, test.out) + continue + } + } +} diff --git a/common/bytes.go b/common/bytes.go new file mode 100644 index 0000000..cc3cb4b --- /dev/null +++ b/common/bytes.go @@ -0,0 +1,164 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +// Package common contains various helper functions. +package common + +import "encoding/hex" + +// ToHex returns the hex representation of b, prefixed with '0x'. +// For empty slices, the return value is "0x0". +// +// Deprecated: use hexutil.Encode instead. +func ToHex(b []byte) string { + hex := Bytes2Hex(b) + if len(hex) == 0 { + hex = "0" + } + return "0x" + hex +} + +// ToHexArray creates a array of hex-string based on []byte +func ToHexArray(b [][]byte) []string { + r := make([]string, len(b)) + for i := range b { + r[i] = ToHex(b[i]) + } + return r +} + +// FromHex returns the bytes represented by the hexadecimal string s. +// s may be prefixed with "0x". +func FromHex(s string) []byte { + if has0xPrefix(s) { + s = s[2:] + } + if len(s)%2 == 1 { + s = "0" + s + } + return Hex2Bytes(s) +} + +// CopyBytes returns an exact copy of the provided bytes. +func CopyBytes(b []byte) (copiedBytes []byte) { + if b == nil { + return nil + } + copiedBytes = make([]byte, len(b)) + copy(copiedBytes, b) + + return +} + +// has0xPrefix validates str begins with '0x' or '0X'. +func has0xPrefix(str string) bool { + return len(str) >= 2 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X') +} + +// isHexCharacter returns bool of c being a valid hexadecimal. +func isHexCharacter(c byte) bool { + return ('0' <= c && c <= '9') || ('a' <= c && c <= 'f') || ('A' <= c && c <= 'F') +} + +// isHex validates whether each byte is valid hexadecimal string. +func isHex(str string) bool { + if len(str)%2 != 0 { + return false + } + for _, c := range []byte(str) { + if !isHexCharacter(c) { + return false + } + } + return true +} + +// Bytes2Hex returns the hexadecimal encoding of d. +func Bytes2Hex(d []byte) string { + return hex.EncodeToString(d) +} + +// Hex2Bytes returns the bytes represented by the hexadecimal string str. +func Hex2Bytes(str string) []byte { + h, _ := hex.DecodeString(str) + return h +} + +// Hex2BytesFixed returns bytes of a specified fixed length flen. +func Hex2BytesFixed(str string, flen int) []byte { + h, _ := hex.DecodeString(str) + if len(h) == flen { + return h + } + if len(h) > flen { + return h[len(h)-flen:] + } + hh := make([]byte, flen) + copy(hh[flen-len(h):flen], h) + return hh +} + +// RightPadBytes zero-pads slice to the right up to length l. +func RightPadBytes(slice []byte, l int) []byte { + if l <= len(slice) { + return slice + } + + padded := make([]byte, l) + copy(padded, slice) + + return padded +} + +// LeftPadBytes zero-pads slice to the left up to length l. +func LeftPadBytes(slice []byte, l int) []byte { + if l <= len(slice) { + return slice + } + + padded := make([]byte, l) + copy(padded[l-len(slice):], slice) + + return padded +} + +// TrimLeftZeroes returns a subslice of s without leading zeroes +func TrimLeftZeroes(s []byte) []byte { + idx := 0 + for ; idx < len(s); idx++ { + if s[idx] != 0 { + break + } + } + return s[idx:] +} + +// TrimRightZeroes returns a subslice of s without trailing zeroes +func TrimRightZeroes(s []byte) []byte { + idx := len(s) + for ; idx > 0; idx-- { + if s[idx-1] != 0 { + break + } + } + return s[:idx] +} + +func ToBytes32(x []byte) [32]byte { + var y [32]byte + copy(y[:], x) + return y +} diff --git a/common/bytes_test.go b/common/bytes_test.go new file mode 100644 index 0000000..0e3ec97 --- /dev/null +++ b/common/bytes_test.go @@ -0,0 +1,126 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package common + +import ( + "bytes" + "testing" +) + +func TestCopyBytes(t *testing.T) { + input := []byte{1, 2, 3, 4} + + v := CopyBytes(input) + if !bytes.Equal(v, []byte{1, 2, 3, 4}) { + t.Fatal("not equal after copy") + } + v[0] = 99 + if bytes.Equal(v, input) { + t.Fatal("result is not a copy") + } +} + +func TestLeftPadBytes(t *testing.T) { + val := []byte{1, 2, 3, 4} + padded := []byte{0, 0, 0, 0, 1, 2, 3, 4} + + if r := LeftPadBytes(val, 8); !bytes.Equal(r, padded) { + t.Fatalf("LeftPadBytes(%v, 8) == %v", val, r) + } + if r := LeftPadBytes(val, 2); !bytes.Equal(r, val) { + t.Fatalf("LeftPadBytes(%v, 2) == %v", val, r) + } +} + +func TestRightPadBytes(t *testing.T) { + val := []byte{1, 2, 3, 4} + padded := []byte{1, 2, 3, 4, 0, 0, 0, 0} + + if r := RightPadBytes(val, 8); !bytes.Equal(r, padded) { + t.Fatalf("RightPadBytes(%v, 8) == %v", val, r) + } + if r := RightPadBytes(val, 2); !bytes.Equal(r, val) { + t.Fatalf("RightPadBytes(%v, 2) == %v", val, r) + } +} + +func TestFromHex(t *testing.T) { + input := "0x01" + expected := []byte{1} + result := FromHex(input) + if !bytes.Equal(expected, result) { + t.Errorf("Expected %x got %x", expected, result) + } +} + +func TestIsHex(t *testing.T) { + tests := []struct { + input string + ok bool + }{ + {"", true}, + {"0", false}, + {"00", true}, + {"a9e67e", true}, + {"A9E67E", true}, + {"0xa9e67e", false}, + {"a9e67e001", false}, + {"0xHELLO_MY_NAME_IS_STEVEN_@#$^&*", false}, + } + for _, test := range tests { + if ok := isHex(test.input); ok != test.ok { + t.Errorf("isHex(%q) = %v, want %v", test.input, ok, test.ok) + } + } +} + +func TestFromHexOddLength(t *testing.T) { + input := "0x1" + expected := []byte{1} + result := FromHex(input) + if !bytes.Equal(expected, result) { + t.Errorf("Expected %x got %x", expected, result) + } +} + +func TestNoPrefixShortHexOddLength(t *testing.T) { + input := "1" + expected := []byte{1} + result := FromHex(input) + if !bytes.Equal(expected, result) { + t.Errorf("Expected %x got %x", expected, result) + } +} + +func TestTrimRightZeroes(t *testing.T) { + tests := []struct { + arr []byte + exp []byte + }{ + {FromHex("0x00ffff00ff0000"), FromHex("0x00ffff00ff")}, + {FromHex("0x00000000000000"), []byte{}}, + {FromHex("0xff"), FromHex("0xff")}, + {[]byte{}, []byte{}}, + {FromHex("0x00ffffffffffff"), FromHex("0x00ffffffffffff")}, + } + for i, test := range tests { + got := TrimRightZeroes(test.arr) + if !bytes.Equal(got, test.exp) { + t.Errorf("test %d, got %x exp %x", i, got, test.exp) + } + } +} diff --git a/common/encode/base58/alphabet.go b/common/encode/base58/alphabet.go new file mode 100644 index 0000000..118830c --- /dev/null +++ b/common/encode/base58/alphabet.go @@ -0,0 +1,50 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// AUTOGENERATED by genalphabet.go; do not edit. + +package base58 + +const ( + // alphabet is the modified base58 alphabet used by Bitcoin. + alphabet = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz" + + alphabetIdx0 = '1' +) + +var b58 = [256]byte{ + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 0, 1, 2, 3, 4, 5, 6, + 7, 8, 255, 255, 255, 255, 255, 255, + 255, 9, 10, 11, 12, 13, 14, 15, + 16, 255, 17, 18, 19, 20, 21, 255, + 22, 23, 24, 25, 26, 27, 28, 29, + 30, 31, 32, 255, 255, 255, 255, 255, + 255, 33, 34, 35, 36, 37, 38, 39, + 40, 41, 42, 43, 255, 44, 45, 46, + 47, 48, 49, 50, 51, 52, 53, 54, + 55, 56, 57, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, + 255, 255, 255, 255, 255, 255, 255, 255, +} diff --git a/common/encode/base58/base58.go b/common/encode/base58/base58.go new file mode 100644 index 0000000..b82794f --- /dev/null +++ b/common/encode/base58/base58.go @@ -0,0 +1,81 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package base58 + +import ( + "math/big" +) + +//go:generate go run genalphabet.go + +var bigRadix = big.NewInt(58) +var bigZero = big.NewInt(0) + +// Decode decodes a modified base58 string to a byte slice. +func Decode(b []byte) []byte { + answer := big.NewInt(0) + j := big.NewInt(1) + + scratch := new(big.Int) + for i := len(b) - 1; i >= 0; i-- { + tmp := b58[b[i]] + if tmp == 255 { + return []byte("") + } + scratch.SetInt64(int64(tmp)) + scratch.Mul(j, scratch) + answer.Add(answer, scratch) + j.Mul(j, bigRadix) + } + + tmpval := answer.Bytes() + + var numZeros int + for numZeros = 0; numZeros < len(b); numZeros++ { + if b[numZeros] != alphabetIdx0 { + break + } + } + flen := numZeros + len(tmpval) + val := make([]byte, flen) + copy(val[numZeros:], tmpval) + + return val +} + +// Encode encodes a byte slice to a modified base58 string. +func Encode(b []byte) ([]byte, error) { + x := new(big.Int) + x.SetBytes(b) + + input,err := checkInputOverflow(b) + if err != nil { + return nil,err + } + answer := make([]byte, 0, len(input)*136/100) + for x.Cmp(bigZero) > 0 { + mod := new(big.Int) + x.DivMod(x, bigRadix, mod) + answer = append(answer, alphabet[mod.Int64()]) + } + + // leading zero bytes + for _, i := range b { + if i != 0 { + break + } + answer = append(answer, alphabetIdx0) + } + + // reverse + alen := len(answer) + for i := 0; i < alen/2; i++ { + answer[i], answer[alen-1-i] = answer[alen-1-i], answer[i] + } + + return answer,nil +} diff --git a/common/encode/base58/base58_test.go b/common/encode/base58/base58_test.go new file mode 100644 index 0000000..203f503 --- /dev/null +++ b/common/encode/base58/base58_test.go @@ -0,0 +1,99 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package base58_test + +import ( + "bytes" + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/common/encode/base58" +) + +var stringTests = []struct { + in string + out string +}{ + {"", ""}, + {" ", "Z"}, + {"-", "n"}, + {"0", "q"}, + {"1", "r"}, + {"-1", "4SU"}, + {"11", "4k8"}, + {"abc", "ZiCa"}, + {"1234598760", "3mJr7AoUXx2Wqd"}, + {"abcdefghijklmnopqrstuvwxyz", "3yxU3u1igY8WkgtjK92fbJQCd4BZiiT1v25f"}, + {"00000000000000000000000000000000000000000000000000000000000000", "3sN2THZeE9Eh9eYrwkvZqNstbHGvrxSAM7gXUXvyFQP8XvQLUqNCS27icwUeDT7ckHm4FUHM2mTVh1vbLmk7y"}, +} + +var invalidStringTests = []struct { + in string + out string +}{ + {"0", ""}, + {"O", ""}, + {"I", ""}, + {"l", ""}, + {"3mJr0", ""}, + {"O3yxU", ""}, + {"3sNI", ""}, + {"4kl8", ""}, + {"0OIl", ""}, + {"!@#$%^&*()-_=+~`", ""}, +} + +var hexTests = []struct { + in string + out string +}{ + {"61", "2g"}, + {"626262", "a3gV"}, + {"636363", "aPEr"}, + {"73696d706c792061206c6f6e6720737472696e67", "2cFupjhnEsSn59qHXstmK2ffpLv2"}, + {"00eb15231dfceb60925886b67d065299925915aeb172c06647", "1NS17iag9jJgTHD1VXjvLCEnZuQ3rJDE9L"}, + {"516b6fcd0f", "ABnLTmg"}, + {"bf4f89001e670274dd", "3SEo3LWLoPntC"}, + {"572e4794", "3EFU7m"}, + {"ecac89cad93923c02321", "EJDM8drfXA6uyA"}, + {"10c8511e", "Rt5zm"}, + {"00000000000000000000", "1111111111"}, +} + +func TestBase58(t *testing.T) { + // Encode tests + for x, test := range stringTests { + tmp := []byte(test.in) + if res, _ := base58.Encode(tmp); string(res) != test.out { + t.Errorf("Encode test #%d failed: got: %s want: %s", + x, res, test.out) + continue + } + } + + // Decode tests + for x, test := range hexTests { + b, err := hex.DecodeString(test.in) + if err != nil { + t.Errorf("hex.DecodeString failed failed #%d: got: %s", x, test.in) + continue + } + if res := base58.Decode([]byte(test.out)); !bytes.Equal(res, b) { + t.Errorf("Decode test #%d failed: got: %q want: %q", + x, res, test.in) + continue + } + } + + // Decode with invalid input + for x, test := range invalidStringTests { + if res := base58.Decode([]byte(test.in)); string(res) != test.out { + t.Errorf("Decode invalidString test #%d failed: got: %q want: %q", + x, res, test.out) + continue + } + } +} diff --git a/common/encode/base58/base58bench_test.go b/common/encode/base58/base58bench_test.go new file mode 100644 index 0000000..b5a1b5f --- /dev/null +++ b/common/encode/base58/base58bench_test.go @@ -0,0 +1,37 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package base58_test + +import ( + "bytes" + "testing" + + "github.com/Qitmeer/qng-core/common/encode/base58" +) + +func BenchmarkBase58Encode(b *testing.B) { + b.StopTimer() + data := bytes.Repeat([]byte{0xff}, 5000) + b.SetBytes(int64(len(data))) + b.StartTimer() + + for i := 0; i < b.N; i++ { + base58.Encode(data) + } +} + +func BenchmarkBase58Decode(b *testing.B) { + b.StopTimer() + data := bytes.Repeat([]byte{0xff}, 5000) + encoded, _ := base58.Encode(data) + b.SetBytes(int64(len(encoded))) + b.StartTimer() + + for i := 0; i < b.N; i++ { + base58.Decode(encoded) + } +} diff --git a/common/encode/base58/base58check.go b/common/encode/base58/base58check.go new file mode 100644 index 0000000..edb9b01 --- /dev/null +++ b/common/encode/base58/base58check.go @@ -0,0 +1,150 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package base58 + +import ( + "errors" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/common/hash/btc" + "github.com/Qitmeer/qng-core/common/hash/dcr" + "reflect" +) + +// ErrChecksum indicates that the checksum of a check-encoded string does not verify against +// the checksum. +var ErrChecksum = errors.New("checksum error") + +// ErrInvalidFormat indicates that the check-encoded string has an invalid format. +var ErrInvalidFormat = errors.New("invalid format: version and/or checksum bytes missing") + +// btc checksum: first four bytes of double-sha256. +func checksum_btc(input []byte) []byte { + h := btc.DoubleHashB(input) + var cksum [4]byte + copy(cksum[:], h[:]) + return cksum[:] +} + +// dcr checksum: first four bytes of double-BLAKE256. +func checksum_dcr(input []byte) []byte { + h := dcr.DoubleHashB(input) + var cksum [4]byte + copy(cksum[:], h[:]) + return cksum[:] +} + +// checksum: first four bytes of double-BLAKEb. +func checksum_qitmeer(input []byte) []byte { + h := hash.DoubleHashB(input) + var cksum [4]byte + copy(cksum[:], h[:]) + return cksum[:] +} + +func checksum_ss(input []byte) []byte { + return SingleHashChecksumFunc(hash.GetHasher(hash.Blake2b_512), 2)(input) +} + +func SingleHashChecksumFunc(hasher hash.Hasher, cksum_size int) func([]byte) []byte { + return func(input []byte) []byte { + h := hash.CalcHash(input, hasher) + var cksum []byte + cksum = append(cksum, h[:cksum_size]...) + return cksum[:] + } +} + +func DoubleHashChecksumFunc(hasher hash.Hasher, cksum_size int) func([]byte) []byte { + return func(input []byte) []byte { + first := hash.CalcHash(input, hasher) + second := hash.CalcHash(first[:], hasher) + var cksum []byte + cksum = append(cksum, second[:cksum_size]...) + return cksum[:] + } +} + +// CheckEncode prepends two version bytes and appends a four byte checksum. +func QitmeerCheckEncode(input []byte, version []byte) ([]byte, error) { + return CheckEncode(input, version[:], 4, checksum_qitmeer) +} + +func DcrCheckEncode(input []byte, version [2]byte) ([]byte, error) { + return CheckEncode(input, version[:], 4, checksum_dcr) +} +func BtcCheckEncode(input []byte, version byte) ([]byte, error) { + var ver []byte + ver = append(ver, version) + return CheckEncode(input, ver[:], 4, checksum_btc) +} + +func checkInputOverflow(input []byte) ([]byte, error) { + if len(input) > 64*1024*1024 { + return nil, errors.New("value too large") + } + return input, nil +} + +func CheckEncode(input []byte, version []byte, cksum_size int, cksumfunc func([]byte) []byte) ([]byte, error) { + input, err := checkInputOverflow(input) + if err != nil { + return nil, err + } + b := make([]byte, 0, len(version)+len(input)+cksum_size) + b = append(b, version[:]...) + b = append(b, input[:]...) + var cksum []byte = cksumfunc(b) + b = append(b, cksum[:]...) + enc, _ := Encode(b) //need not check input overflow again, ignore err here + return enc, nil +} + +func CheckDecode(input []byte, version_size, cksum_size int, cksumfunc func([]byte) []byte) (result []byte, version []byte, err error) { + input, err = checkInputOverflow(input) + if err != nil { + return nil, nil, err + } + decoded := Decode(input) + if len(decoded) < cksum_size+version_size { + return nil, []byte{}, ErrInvalidFormat + } + version = append(version, decoded[:version_size]...) + var cksum []byte + cksum = append(cksum, decoded[len(decoded)-cksum_size:]...) + if !reflect.DeepEqual(cksumfunc(decoded[:len(decoded)-cksum_size]), cksum[:]) { + return nil, []byte{}, ErrChecksum + } + payload := decoded[version_size : len(decoded)-cksum_size] + result = append(result, payload...) + return +} + +// QitmeerCheckDecode decodes a string that was encoded with 2 bytes version and verifies +// the checksum using blake2b-256 hash. +func QitmeerCheckDecode(input string) (result []byte, version [2]byte, err error) { + r, v, err := CheckDecode([]byte(input), 2, 4, checksum_qitmeer) + if err != nil { + return nil, [2]byte{}, err + } + return r, [2]byte{v[0], v[1]}, nil +} + +func BtcCheckDecode(input string) (result []byte, version byte, err error) { + r, v, err := CheckDecode([]byte(input), 1, 4, checksum_btc) + if err != nil { + return nil, 0, err + } + return r, v[0], err +} + +func DcrCheckDecode(input string) (result []byte, version [2]byte, err error) { + r, v, err := CheckDecode([]byte(input), 2, 4, checksum_dcr) + if err != nil { + return nil, [2]byte{}, err + } + return r, [2]byte{v[0], v[1]}, nil +} diff --git a/common/encode/base58/base58check_test.go b/common/encode/base58/base58check_test.go new file mode 100644 index 0000000..7874909 --- /dev/null +++ b/common/encode/base58/base58check_test.go @@ -0,0 +1,119 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package base58_test + +import ( + "testing" + + "github.com/Qitmeer/qng-core/common/encode/base58" +) + +var checkEncodingStringTests = []struct { + version0 byte + version1 byte + in string + out string +}{ + {0x42, 20, "", "3MNQE1X"}, + {0x42, 20, " ", "B2Kr6dBE"}, + {0x42, 20, "-", "B3jv1Aft"}, + {0x42, 20, "0", "B482yuaX"}, + {0x42, 20, "1", "B4CmeGAC"}, + {0x42, 20, "-1", "mM7eUf6kB"}, + {0x42, 20, "11", "mP7BMTDVH"}, + {0x42, 20, "abc", "4QiVtDjUdeq"}, + {0x42, 20, "1234598760", "ZmNb8uQn5zvnUohNCEPP"}, + {0x42, 20, "abcdefghijklmnopqrstuvwxyz", "K2RYDcKfupxwXdWhSAxQPCeiULntKm63UXyx5MvEH2"}, + {0x42, 20, "00000000000000000000000000000000000000000000000000000000000000", "bi1EWXwJay2udZVxLJozuTb8Meg4W9c6xnmJaRDjg6pri5MBAxb9XwrpQXbtnqEoRV5U2pixnFfwyXC8tRAVC8XxnjK"}, + + {0x44, 20, "", "auJfeHwC"}, // test 11 + {0x44, 20, " ", "3adhVZxihM"}, + {0x44, 20, "-", "3adj1TRkKZ"}, + {0x44, 20, "0", "3adjJWGj89"}, + {0x44, 20, "1", "3adjR6HCdi"}, + {0x44, 20, "-1", "CPT64YbXmzR"}, + {0x44, 20, "11", "CPT84AuHhM1"}, + {0x44, 20, "abc", "sG884ALZzrd4"}, + {0x44, 20, "1234598760", "9Qb3AD8psZVrjGEfEVMKkM"}, + {0x44, 20, "abcdefghijklmnopqrstuvwxyz", "5akkPDZM6XaNjyht71YXqR4kFNtkoVFQo2SvDDAikLYE"}, + {0x44, 20, "00000000000000000000000000000000000000000000000000000000000000", "9uayvqtptCkt9inFUhW4t68L1YBZMsZZjqLmmfszj3kx4uLDEJPZ65wGAbxmnY9hZiK74ggerwV7ga9HCUHkhMUchLPf4"}, + + {0x4e, 20, "", "ft9ZcnPM"}, // test 22 + {0x4e, 20, " ", "3xcWA3JEKm"}, + {0x4e, 20, "-", "3xcXdqa1XB"}, + {0x4e, 20, "0", "3xcY2te4UB"}, + {0x4e, 20, "1", "3xcY4hggyU"}, + {0x4e, 20, "-1", "E4TpCcMT8Yy"}, + {0x4e, 20, "11", "E4TrCCzXwtL"}, + {0x4e, 20, "abc", "zeKL3ntPqDcf"}, + {0x4e, 20, "1234598760", "AeD3mvFdyCt8akCaar1Muf"}, + {0x4e, 20, "abcdefghijklmnopqrstuvwxyz", "6FnprApC2tXWptudC4CzngX2qUYTrzGUdhXoFAK53LFq"}, + {0x4e, 20, "00000000000000000000000000000000000000000000000000000000000000", "BDU3ycLHFvYhCRqEXvg2qH8WqUs1scJiQVz86VNAmeq5JuiarpT7TQAvgWikTdeMfuW7EofPmHmMru7JYzSJZxAedRZE8"}, +} + +func TestBase58Check(t *testing.T) { + for x, test := range checkEncodingStringTests { + var ver [2]byte + ver[0] = test.version0 + ver[1] = test.version1 + // test encoding + var eRes []byte + switch ver[0] { + case 0x42: + eRes, _ = base58.BtcCheckEncode([]byte(test.in), ver[1]) + case 0x44: + eRes, _ = base58.DcrCheckEncode([]byte(test.in), ver) + default: + eRes, _ = base58.QitmeerCheckEncode([]byte(test.in), ver[:]) + } + if string(eRes) != test.out { + t.Errorf("CheckEncode test #%d failed: got %s, want: %s", x, eRes, test.out) + } + var res []byte + var version [2]byte + var err error + // test decoding + switch ver[0] { + case 0x42: + version[0] = 0x42 + res, version[1], err = base58.BtcCheckDecode(test.out) + case 0x44: + res, version, err = base58.DcrCheckDecode(test.out) + default: + res, version, err = base58.QitmeerCheckDecode(test.out) + + } + if err != nil { + t.Errorf("CheckDecode test #%d failed with err: %v", x, err) + } else if version[0] != ver[0] { + t.Errorf("CheckDecode test #%d failed: got version: %d want: %d", x, version, ver) + } else if version[1] != ver[1] { + t.Errorf("CheckDecode test #%d failed: got version: %d want: %d", x, version, ver) + } else if string(res) != test.in { + t.Errorf("CheckDecode test #%d failed: got: %s want: %s", x, res, test.in) + } + + } + + // test the two decoding failure cases + // case 1: checksum error + _, _, err := base58.QitmeerCheckDecode("Axk2WA6M") + if err != base58.ErrChecksum { + t.Error("Checkdecode test failed, expected ErrChecksum") + } + // case 2: invalid formats (string lengths below 5 mean the version byte and/or the checksum + // bytes are missing). + testString := "" + for len := 0; len < 4; len++ { + // make a string of length `len` + _, _, err = base58.QitmeerCheckDecode(testString) + if err != base58.ErrInvalidFormat { + t.Error("Checkdecode test failed, expected ErrInvalidFormat") + } + } + +} diff --git a/common/encode/base58/example_test.go b/common/encode/base58/example_test.go new file mode 100644 index 0000000..2c0b121 --- /dev/null +++ b/common/encode/base58/example_test.go @@ -0,0 +1,178 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package base58_test + +import ( + "encoding/hex" + "fmt" + "github.com/Qitmeer/qng-core/common/encode/base58" +) + +// This example demonstrates how to decode modified base58 encoded data. +func ExampleDecode() { + // Decode example modified base58 encoded data. + encoded := []byte("25JnwSn7XKfNQ") + decoded := base58.Decode(encoded) + + // Show the decoded data. + fmt.Println("Decoded Data:", string(decoded)) + + // Output: + // Decoded Data: Test data +} + +// This example demonstrates how to encode data using the modified base58 +// encoding scheme. +func ExampleEncode() { + // Encode example data with the modified base58 encoding scheme. + data := []byte("Test data") + encoded, _ := base58.Encode(data) + + // Show the encoded data. + fmt.Printf("Encoded Data: %s\n", encoded) + + // Output: + // Encoded Data: 25JnwSn7XKfNQ +} + +// This example demonstrates how to decode Base58Check encoded data. +func ExampleCheckDecodeBtc() { + // Decode an example Base58Check encoded data. + encoded := "1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa" + decoded, version, err := base58.BtcCheckDecode(encoded) + if err != nil { + fmt.Println(err) + return + } + + // Show the decoded data. + fmt.Printf("Decoded data: %x\n", decoded) + fmt.Println("Version Byte:", version) + + // Output: + // Decoded data: 62e907b15cbf27d5425399ebf6f0fb50ebb88f18 + // Version Byte: 0 +} + +func ExampleCheckEncodeBtc1() { + // Encode example data with the Base58Check encoding scheme. + data, _ := hex.DecodeString("62e907b15cbf27d5425399ebf6f0fb50ebb88f18a") + encoded, _ := base58.BtcCheckEncode(data, 0x0) + + // Show the encoded data. + fmt.Printf("Encoded Data: %s", encoded) + + // Output: + // Encoded Data: 1A1zP1eP5QGefi2DMPTfTL5SLmv7DivfNa +} + +// This example demonstrates how to encode data using the Base58Check encoding +// scheme. +func ExampleCheckEncodeBtc() { + // Encode example data with the Base58Check encoding scheme. + data := []byte("Test data") + encoded, _ := base58.BtcCheckEncode(data, 0x0) + + // Show the encoded data. + fmt.Printf("Encoded Data: %s", encoded) + + // Output: + // Encoded Data: 182iP79GRURMp7oMHDU +} + +func ExampleCheckEncodeDcr() { + // Encode example data with the Base58Check encoding scheme. + data := []byte("Test data") + ver := [2]byte{0x44, 0x0} + + encoded, _ := base58.DcrCheckEncode(data, ver) + + // Show the encoded data. + fmt.Printf("Encoded Data: %s", encoded) + + // Output: + // Encoded Data: 2uLtqkeVgFqTUBnjicK8o +} + +func ExampleCheckDecodeDcr() { + encoded := "2uLtqkeVgFqTUBnjicK8o" + decoded, version, err := base58.DcrCheckDecode(encoded) + if err != nil { + fmt.Println(err) + return + } + + // Show the decoded data. + fmt.Printf("Decoded data: %x\n", decoded) + fmt.Println("Version Byte:", version) + // Output: + // Decoded data: 546573742064617461 + // Version Byte: [68 0] +} + +func ExampleCheckDecode_ds_addr() { + encoded := "DsaAKsMvZ6HrqhmbhLjV9qVbPkkzF7FnNFY" + decoded, version, err := base58.QitmeerCheckDecode(encoded) + if err != nil { + fmt.Println(err) + return + } + + // Show the decoded data. + fmt.Printf("Decoded data: %x\n", decoded) + fmt.Println("Version Byte:", version) + // Output: + // Decoded data: 64e20eb6075561d30c23a517c5b73badbc120f05 + // Version Byte: [7 63] +} + +func ExampleCheckEncode_addr() { + + data, _ := hex.DecodeString("64e20eb6075561d30c23a517c5b73badbc120f05") + ver := [2]byte{0x0c, 0x40} //qitmeer main + encoded, _ := base58.QitmeerCheckEncode(data, ver[:]) + fmt.Println("Address (sha256) : Nm281BTkccPTDL1CfhAAR27GAzx2bqFLQx5") + fmt.Printf("Address (b2b) : %s\n", encoded) + encoded, _ = base58.DcrCheckEncode(data, ver) + fmt.Printf("Address (b256) : %s", encoded) + // Output: + // Address (sha256) : Nm281BTkccPTDL1CfhAAR27GAzx2bqFLQx5 + // Address (b2b) : Nm281BTkccPTDL1CfhAAR27GAzx2bnKjZdM + // Address (b256) : Nm281BTkccPTDL1CfhAAR27GAzx2br4Aebi +} + +func ExampleCheckEncode() { + // Encode example data with the Base58Check encoding scheme. + data := []byte("Test data") + var ver [2]byte + ver[0] = 0 + ver[1] = 0 + + encoded, _ := base58.QitmeerCheckEncode(data, ver[:]) + + // Show the encoded data. + fmt.Printf("Encoded Data: %s", encoded) + + // Output: + // Encoded Data: 1182iP79GRURMp6Rsz9X +} + +func ExampleCheckDecode() { + encoded := "1182iP79GRURMp6Rsz9X" + decoded, version, err := base58.QitmeerCheckDecode(encoded) + if err != nil { + fmt.Println(err) + return + } + + // Show the decoded data. + fmt.Printf("Decoded data: %x\n", decoded) + fmt.Println("Version Byte:", version) + // Output: + // Decoded data: 546573742064617461 + // Version Byte: [0 0] +} diff --git a/common/encode/base58/genalphabet.go b/common/encode/base58/genalphabet.go new file mode 100644 index 0000000..6ab3eae --- /dev/null +++ b/common/encode/base58/genalphabet.go @@ -0,0 +1,82 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +//+build ignore + +package main + +import ( + "bytes" + "io" + "log" + "os" + "strconv" +) + +var ( + start = []byte(`// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// AUTOGENERATED by genalphabet.go; do not edit. + +package base58 + +const ( + // alphabet is the modified base58 alphabet used by Bitcoin. + alphabet = "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz" + + alphabetIdx0 = '1' +) + +var b58 = [256]byte{`) + + end = []byte(`}`) + + alphabet = []byte("123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz") + tab = []byte("\t") + invalid = []byte("255") + comma = []byte(",") + space = []byte(" ") + nl = []byte("\n") +) + +func write(w io.Writer, b []byte) { + _, err := w.Write(b) + if err != nil { + log.Fatal(err) + } +} + +func main() { + fi, err := os.Create("alphabet.go") + if err != nil { + log.Fatal(err) + } + defer fi.Close() + + write(fi, start) + write(fi, nl) + for i := byte(0); i < 32; i++ { + write(fi, tab) + for j := byte(0); j < 8; j++ { + idx := bytes.IndexByte(alphabet, i*8+j) + if idx == -1 { + write(fi, invalid) + } else { + write(fi, strconv.AppendInt(nil, int64(idx), 10)) + } + write(fi, comma) + if j != 7 { + write(fi, space) + } + } + write(fi, nl) + } + write(fi, end) + write(fi, nl) +} diff --git a/common/encode/bech32/bech32.go b/common/encode/bech32/bech32.go new file mode 100644 index 0000000..b471112 --- /dev/null +++ b/common/encode/bech32/bech32.go @@ -0,0 +1,466 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2017 Takatoshi Nakagawa +// +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in the Software without restriction, including without limitation the rights +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the Software is +// furnished to do so, subject to the following conditions: +// +// The above copyright notice and this permission notice shall be included in +// all copies or substantial portions of the Software. +// +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +// THE SOFTWARE. + +package bech32 + +import ( + "bytes" + "fmt" + "strings" +) + +// The reference implementation for Bech32 and segwit addresses. + +var charset = "qpzry9x8gf2tvdw0s3jn54khce6mua7l" + +var generator = []int{0x3b6a57b2, 0x26508e6d, 0x1ea119fa, 0x3d4233dd, 0x2a1462b3} + +func polymod(values []int) int { + chk := 1 + for _, v := range values { + top := chk >> 25 + chk = (chk&0x1ffffff)<<5 ^ v + for i := 0; i < 5; i++ { + if (top>>uint(i))&1 == 1 { + chk ^= generator[i] + } + } + } + return chk +} + +func hrpExpand(hrp string) []int { + ret := []int{} + for _, c := range hrp { + ret = append(ret, int(c>>5)) + } + ret = append(ret, 0) + for _, c := range hrp { + ret = append(ret, int(c&31)) + } + return ret +} + +func verifyChecksum(hrp string, data []int) bool { + return polymod(append(hrpExpand(hrp), data...)) == 1 +} + +func createChecksum(hrp string, data []int) []int { + values := append(append(hrpExpand(hrp), data...), []int{0, 0, 0, 0, 0, 0}...) + mod := polymod(values) ^ 1 + ret := make([]int, 6) + for p := 0; p < len(ret); p++ { + ret[p] = (mod >> uint(5*(5-p))) & 31 + } + return ret +} + +// Encode encodes hrp(human-readable part) and data(32bit data array), returns Bech32 / or error +// if hrp is uppercase, return uppercase Bech32 +func Encode(hrp string, data []int) (string, error) { + if (len(hrp) + len(data) + 7) > 90 { + return "", fmt.Errorf("too long : hrp length=%d, data length=%d", len(hrp), len(data)) + } + if len(hrp) < 1 { + return "", fmt.Errorf("invalid hrp : hrp=%v", hrp) + } + for p, c := range hrp { + if c < 33 || c > 126 { + return "", fmt.Errorf("invalid character human-readable part : hrp[%d]=%d", p, c) + } + } + if strings.ToUpper(hrp) != hrp && strings.ToLower(hrp) != hrp { + return "", fmt.Errorf("mix case : hrp=%v", hrp) + } + lower := strings.ToLower(hrp) == hrp + hrp = strings.ToLower(hrp) + combined := append(data, createChecksum(hrp, data)...) + var ret bytes.Buffer + ret.WriteString(hrp) + ret.WriteString("1") + for idx, p := range combined { + if p < 0 || p >= len(charset) { + return "", fmt.Errorf("invalid data : data[%d]=%d", idx, p) + } + ret.WriteByte(charset[p]) + } + if lower { + return ret.String(), nil + } + return strings.ToUpper(ret.String()), nil +} + +// Decode decodes bechString(Bech32) returns hrp(human-readable part) and data(32bit data array) / or error +func Decode(bechString string) (string, []int, error) { + if len(bechString) > 90 { + return "", nil, fmt.Errorf("too long : len=%d", len(bechString)) + } + if strings.ToLower(bechString) != bechString && strings.ToUpper(bechString) != bechString { + return "", nil, fmt.Errorf("mixed case") + } + bechString = strings.ToLower(bechString) + pos := strings.LastIndex(bechString, "1") + if pos < 1 || pos+7 > len(bechString) { + return "", nil, fmt.Errorf("separator '1' at invalid position : pos=%d , len=%d", pos, len(bechString)) + } + hrp := bechString[0:pos] + for p, c := range hrp { + if c < 33 || c > 126 { + return "", nil, fmt.Errorf("invalid character human-readable part : bechString[%d]=%d", p, c) + } + } + data := []int{} + for p := pos + 1; p < len(bechString); p++ { + d := strings.Index(charset, fmt.Sprintf("%c", bechString[p])) + if d == -1 { + return "", nil, fmt.Errorf("invalid character data part : bechString[%d]=%d", p, bechString[p]) + } + data = append(data, d) + } + if !verifyChecksum(hrp, data) { + return "", nil, fmt.Errorf("invalid checksum") + } + return hrp, data[:len(data)-6], nil +} + +func convertbits(data []int, frombits, tobits uint, pad bool) ([]int, error) { + acc := 0 + bits := uint(0) + ret := []int{} + maxv := (1 << tobits) - 1 + for idx, value := range data { + if value < 0 || (value>>frombits) != 0 { + return nil, fmt.Errorf("invalid data range : data[%d]=%d (frombits=%d)", idx, value, frombits) + } + acc = (acc << frombits) | value + bits += frombits + for bits >= tobits { + bits -= tobits + ret = append(ret, (acc>>bits)&maxv) + } + } + if pad { + if bits > 0 { + ret = append(ret, (acc<<(tobits-bits))&maxv) + } + } else if bits >= frombits { + return nil, fmt.Errorf("illegal zero padding") + } else if ((acc << (tobits - bits)) & maxv) != 0 { + return nil, fmt.Errorf("non-zero padding") + } + return ret, nil +} + +// SegwitAddrDecode decodes hrp(human-readable part) Segwit Address(string), returns version(int) and data(bytes array) / or error +func SegwitAddrDecode(hrp, addr string) (int, []int, error) { + dechrp, data, err := Decode(addr) + if err != nil { + return -1, nil, err + } + if dechrp != hrp { + return -1, nil, fmt.Errorf("invalid human-readable part : %s != %s", hrp, dechrp) + } + if len(data) < 1 { + return -1, nil, fmt.Errorf("invalid decode data length : %d", len(data)) + } + if data[0] > 16 { + return -1, nil, fmt.Errorf("invalid witness version : %d", data[0]) + } + res, err := convertbits(data[1:], 5, 8, false) + if err != nil { + return -1, nil, err + } + if len(res) < 2 || len(res) > 40 { + return -1, nil, fmt.Errorf("invalid convertbits length : %d", len(res)) + } + if data[0] == 0 && len(res) != 20 && len(res) != 32 { + return -1, nil, fmt.Errorf("invalid program length for witness version 0 (per BIP141) : %d", len(res)) + } + return data[0], res, nil +} + +// SegwitAddrEncode encodes hrp(human-readable part) , version(int) and data(bytes array), returns Segwit Address / or error +func SegwitAddrEncode(hrp string, version int, program []int) (string, error) { + if version < 0 || version > 16 { + return "", fmt.Errorf("invalid witness version : %d", version) + } + if len(program) < 2 || len(program) > 40 { + return "", fmt.Errorf("invalid program length : %d", len(program)) + } + if version == 0 && len(program) != 20 && len(program) != 32 { + return "", fmt.Errorf("invalid program length for witness version 0 (per BIP141) : %d", len(program)) + } + data, err := convertbits(program, 8, 5, true) + if err != nil { + return "", err + } + ret, err := Encode(hrp, append([]int{version}, data...)) + if err != nil { + return "", err + } + return ret, nil +} + +// Copyright (c) 2017 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +const bech32_charset = "qpzry9x8gf2tvdw0s3jn54khce6mua7l" + +var gen = []int{0x3b6a57b2, 0x26508e6d, 0x1ea119fa, 0x3d4233dd, 0x2a1462b3} + +// Decode decodes a bech32 encoded string, returning the human-readable +// part and the data part excluding the checksum. +func DecodeBech32(bech string) (string, []byte, error) { + // The maximum allowed length for a bech32 string is 90. It must also + // be at least 8 characters, since it needs a non-empty HRP, a + // separator, and a 6 character checksum. + if len(bech) < 8 || len(bech) > 90 { + return "", nil, fmt.Errorf("invalid bech32 string length %d", + len(bech)) + } + // Only ASCII characters between 33 and 126 are allowed. + for i := 0; i < len(bech); i++ { + if bech[i] < 33 || bech[i] > 126 { + return "", nil, fmt.Errorf("invalid character in "+ + "string: '%c'", bech[i]) + } + } + + // The characters must be either all lowercase or all uppercase. + lower := strings.ToLower(bech) + upper := strings.ToUpper(bech) + if bech != lower && bech != upper { + return "", nil, fmt.Errorf("string not all lowercase or all " + + "uppercase") + } + + // We'll work with the lowercase string from now on. + bech = lower + + // The string is invalid if the last '1' is non-existent, it is the + // first character of the string (no human-readable part) or one of the + // last 6 characters of the string (since checksum cannot contain '1'), + // or if the string is more than 90 characters in total. + one := strings.LastIndexByte(bech, '1') + if one < 1 || one+7 > len(bech) { + return "", nil, fmt.Errorf("invalid index of 1") + } + + // The human-readable part is everything before the last '1'. + hrp := bech[:one] + data := bech[one+1:] + + // Each character corresponds to the byte with value of the index in + // 'charset'. + decoded, err := toBytes(data) + if err != nil { + return "", nil, fmt.Errorf("failed converting data to bytes: "+ + "%v", err) + } + + if !bech32VerifyChecksum(hrp, decoded) { + moreInfo := "" + checksum := bech[len(bech)-6:] + expected, err := toChars(bech32Checksum(hrp, + decoded[:len(decoded)-6])) + if err == nil { + moreInfo = fmt.Sprintf("Expected %v, got %v.", + expected, checksum) + } + return "", nil, fmt.Errorf("checksum failed. " + moreInfo) + } + + // We exclude the last 6 bytes, which is the checksum. + return hrp, decoded[:len(decoded)-6], nil +} + +// Encode encodes a byte slice into a bech32 string with the +// human-readable part hrb. Note that the bytes must each encode 5 bits +// (base32). +func EncodeBech32(hrp string, data []byte) (string, error) { + // Calculate the checksum of the data and append it at the end. + checksum := bech32Checksum(hrp, data) + combined := append(data, checksum...) + + // The resulting bech32 string is the concatenation of the hrp, the + // separator 1, data and checksum. Everything after the separator is + // represented using the specified charset. + dataChars, err := toChars(combined) + if err != nil { + return "", fmt.Errorf("unable to convert data bytes to chars: "+ + "%v", err) + } + return hrp + "1" + dataChars, nil +} + +// toBytes converts each character in the string 'chars' to the value of the +// index of the correspoding character in 'charset'. +func toBytes(chars string) ([]byte, error) { + decoded := make([]byte, 0, len(chars)) + for i := 0; i < len(chars); i++ { + index := strings.IndexByte(charset, chars[i]) + if index < 0 { + return nil, fmt.Errorf("invalid character not part of "+ + "charset: %v", chars[i]) + } + decoded = append(decoded, byte(index)) + } + return decoded, nil +} + +// toChars converts the byte slice 'data' to a string where each byte in 'data' +// encodes the index of a character in 'charset'. +func toChars(data []byte) (string, error) { + result := make([]byte, 0, len(data)) + for _, b := range data { + if int(b) >= len(charset) { + return "", fmt.Errorf("invalid data byte: %v", b) + } + result = append(result, charset[b]) + } + return string(result), nil +} + +// ConvertBits converts a byte slice where each byte is encoding fromBits bits, +// to a byte slice where each byte is encoding toBits bits. +func ConvertBits(data []byte, fromBits, toBits uint8, pad bool) ([]byte, error) { + if fromBits < 1 || fromBits > 8 || toBits < 1 || toBits > 8 { + return nil, fmt.Errorf("only bit groups between 1 and 8 allowed") + } + + // The final bytes, each byte encoding toBits bits. + var regrouped []byte + + // Keep track of the next byte we create and how many bits we have + // added to it out of the toBits goal. + nextByte := byte(0) + filledBits := uint8(0) + + for _, b := range data { + + // Discard unused bits. + b = b << (8 - fromBits) + + // How many bits remaining to extract from the input data. + remFromBits := fromBits + for remFromBits > 0 { + // How many bits remaining to be added to the next byte. + remToBits := toBits - filledBits + + // The number of bytes to next extract is the minimum of + // remFromBits and remToBits. + toExtract := remFromBits + if remToBits < toExtract { + toExtract = remToBits + } + + // Add the next bits to nextByte, shifting the already + // added bits to the left. + nextByte = (nextByte << toExtract) | (b >> (8 - toExtract)) + + // Discard the bits we just extracted and get ready for + // next iteration. + b = b << toExtract + remFromBits -= toExtract + filledBits += toExtract + + // If the nextByte is completely filled, we add it to + // our regrouped bytes and start on the next byte. + if filledBits == toBits { + regrouped = append(regrouped, nextByte) + filledBits = 0 + nextByte = 0 + } + } + } + + // We pad any unfinished group if specified. + if pad && filledBits > 0 { + nextByte = nextByte << (toBits - filledBits) + regrouped = append(regrouped, nextByte) + filledBits = 0 + nextByte = 0 + } + + // Any incomplete group must be <= 4 bits, and all zeroes. + if filledBits > 0 && (filledBits > 4 || nextByte != 0) { + return nil, fmt.Errorf("invalid incomplete group") + } + + return regrouped, nil +} + +// For more details on the checksum calculation, please refer to BIP 173. +func bech32Checksum(hrp string, data []byte) []byte { + // Convert the bytes to list of integers, as this is needed for the + // checksum calculation. + integers := make([]int, len(data)) + for i, b := range data { + integers[i] = int(b) + } + values := append(bech32HrpExpand(hrp), integers...) + values = append(values, []int{0, 0, 0, 0, 0, 0}...) + polymod := bech32Polymod(values) ^ 1 + var res []byte + for i := 0; i < 6; i++ { + res = append(res, byte((polymod>>uint(5*(5-i)))&31)) + } + return res +} + +// For more details on the polymod calculation, please refer to BIP 173. +func bech32Polymod(values []int) int { + chk := 1 + for _, v := range values { + b := chk >> 25 + chk = (chk&0x1ffffff)<<5 ^ v + for i := 0; i < 5; i++ { + if (b>>uint(i))&1 == 1 { + chk ^= gen[i] + } + } + } + return chk +} + +// For more details on HRP expansion, please refer to BIP 173. +func bech32HrpExpand(hrp string) []int { + v := make([]int, 0, len(hrp)*2+1) + for i := 0; i < len(hrp); i++ { + v = append(v, int(hrp[i]>>5)) + } + v = append(v, 0) + for i := 0; i < len(hrp); i++ { + v = append(v, int(hrp[i]&31)) + } + return v +} + +// For more details on the checksum verification, please refer to BIP 173. +func bech32VerifyChecksum(hrp string, data []byte) bool { + integers := make([]int, len(data)) + for i, b := range data { + integers[i] = int(b) + } + concat := append(bech32HrpExpand(hrp), integers...) + return bech32Polymod(concat) == 1 +} diff --git a/common/encode/bech32/bech32_test.go b/common/encode/bech32/bech32_test.go new file mode 100644 index 0000000..68d3100 --- /dev/null +++ b/common/encode/bech32/bech32_test.go @@ -0,0 +1,466 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2017 Takatoshi Nakagawa +// +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in the Software without restriction, including without limitation the rights +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the Software is +// furnished to do so, subject to the following conditions: +// +// The above copyright notice and this permission notice shall be included in +// all copies or substantial portions of the Software. +// +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +// THE SOFTWARE. +package bech32_test + +import ( + "github.com/Qitmeer/qng-core/common/encode/bech32" + "reflect" + "strings" + "testing" +) + +func segwitScriptpubkey(version int, program []int) []int { + if version != 0 { + version += 0x50 + } + return append(append([]int{version}, len(program)), program...) +} + +var validChecksum = []string{ + "A12UEL5L", + "an83characterlonghumanreadablepartthatcontainsthenumber1andtheexcludedcharactersbio1tt5tgs", + "abcdef1qpzry9x8gf2tvdw0s3jn54khce6mua7lmqqqxw", + "11qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqc8247j", + "split1checkupstagehandshakeupstreamerranterredcaperred2y9e3w", +} + +var invalidChecksum = []string{ + " 1nwldj5", + "\x7F" + "1axkwrx", + "an84characterslonghumanreadablepartthatcontainsthenumber1andtheexcludedcharactersbio1569pvx", + "pzry9x0s0muk", + "1pzry9x0s0muk", + "x1b4n0q5v", + "li1dgmt3", + "de1lg7wt\xFF", +} + +type item struct { + address string + scriptpubkey []int +} + +var validAddress = []item{ + {"BC1QW508D6QEJXTDG4Y5R3ZARVARY0C5XW7KV8F3T4", + []int{ + 0x00, 0x14, 0x75, 0x1e, 0x76, 0xe8, 0x19, 0x91, 0x96, 0xd4, 0x54, + 0x94, 0x1c, 0x45, 0xd1, 0xb3, 0xa3, 0x23, 0xf1, 0x43, 0x3b, 0xd6, + }, + }, + {"tb1qrp33g0q5c5txsp9arysrx4k6zdkfs4nce4xj0gdcccefvpysxf3q0sl5k7", + []int{ + 0x00, 0x20, 0x18, 0x63, 0x14, 0x3c, 0x14, 0xc5, 0x16, 0x68, 0x04, + 0xbd, 0x19, 0x20, 0x33, 0x56, 0xda, 0x13, 0x6c, 0x98, 0x56, 0x78, + 0xcd, 0x4d, 0x27, 0xa1, 0xb8, 0xc6, 0x32, 0x96, 0x04, 0x90, 0x32, + 0x62, + }, + }, + {"bc1pw508d6qejxtdg4y5r3zarvary0c5xw7kw508d6qejxtdg4y5r3zarvary0c5xw7k7grplx", + []int{ + 0x51, 0x28, 0x75, 0x1e, 0x76, 0xe8, 0x19, 0x91, 0x96, 0xd4, 0x54, + 0x94, 0x1c, 0x45, 0xd1, 0xb3, 0xa3, 0x23, 0xf1, 0x43, 0x3b, 0xd6, + 0x75, 0x1e, 0x76, 0xe8, 0x19, 0x91, 0x96, 0xd4, 0x54, 0x94, 0x1c, + 0x45, 0xd1, 0xb3, 0xa3, 0x23, 0xf1, 0x43, 0x3b, 0xd6, + }, + }, + {"BC1SW50QA3JX3S", + []int{ + 0x60, 0x02, 0x75, 0x1e, + }, + }, + {"bc1zw508d6qejxtdg4y5r3zarvaryvg6kdaj", + []int{ + 0x52, 0x10, 0x75, 0x1e, 0x76, 0xe8, 0x19, 0x91, 0x96, 0xd4, 0x54, + 0x94, 0x1c, 0x45, 0xd1, 0xb3, 0xa3, 0x23, + }, + }, + {"tb1qqqqqp399et2xygdj5xreqhjjvcmzhxw4aywxecjdzew6hylgvsesrxh6hy", + []int{ + 0x00, 0x20, 0x00, 0x00, 0x00, 0xc4, 0xa5, 0xca, 0xd4, 0x62, 0x21, + 0xb2, 0xa1, 0x87, 0x90, 0x5e, 0x52, 0x66, 0x36, 0x2b, 0x99, 0xd5, + 0xe9, 0x1c, 0x6c, 0xe2, 0x4d, 0x16, 0x5d, 0xab, 0x93, 0xe8, 0x64, + 0x33, + }, + }, +} + +var invalidAddress = []string{ + "tc1qw508d6qejxtdg4y5r3zarvary0c5xw7kg3g4ty", + "bc1qw508d6qejxtdg4y5r3zarvary0c5xw7kv8f3t5", + "BC13W508D6QEJXTDG4Y5R3ZARVARY0C5XW7KN40WF2", + "bc1rw5uspcuh", + "bc10w508d6qejxtdg4y5r3zarvary0c5xw7kw508d6qejxtdg4y5r3zarvary0c5xw7kw5rljs90", + "BC1QR508D6QEJXTDG4Y5R3ZARVARYV98GJ9P", + "tb1qrp33g0q5c5txsp9arysrx4k6zdkfs4nce4xj0gdcccefvpysxf3q0sL5k7", + "bc1zw508d6qejxtdg4y5r3zarvaryvqyzf3du", + "tb1qrp33g0q5c5txsp9arysrx4k6zdkfs4nce4xj0gdcccefvpysxf3pjxtptv", + "bc1gmk9yu", +} + +func TestValidChecksum(t *testing.T) { + for _, test := range validChecksum { + hrp, data, err := bech32.Decode(test) + if err != nil { + t.Errorf("Valid checksum for %s : FAIL / error %+v\n", test, err) + } else { + t.Logf("Valid checksum for %s : ok / hrp : %+v , data : %+v\n", test, hrp, data) + } + } +} + +func TestInvalidChecksum(t *testing.T) { + for _, test := range invalidChecksum { + hrp, data, err := bech32.Decode(test) + if err != nil { + t.Logf("Invalid checksum for %s : ok / hrp : %+v , data : %+v\n", test, hrp, data) + } else { + t.Errorf("Invalid checksum for %s : FAIL\n", test) + } + } +} + +func TestValidAddress(t *testing.T) { + for _, test := range validAddress { + hrp := "bc" + version, program, err := bech32.SegwitAddrDecode(hrp, test.address) + if err != nil { + hrp = "tb" + version, program, err = bech32.SegwitAddrDecode(hrp, test.address) + } + ok := err == nil + if ok { + output := segwitScriptpubkey(version, program) + ok = reflect.DeepEqual(output, test.scriptpubkey) + } + if ok { + recreate, err := bech32.SegwitAddrEncode(hrp, version, program) + if err == nil { + ok = recreate == strings.ToLower(test.address) + } + } + if ok { + t.Logf("Valid address %v : ok\n", test.address) + } else { + t.Errorf("Valid address %v : FAIL\n", test.address) + } + } +} + +func TestInvalidAddress(t *testing.T) { + for _, test := range invalidAddress { + _, _, bcErr := bech32.SegwitAddrDecode("bc", test) + t.Logf("bc error:%v\n", bcErr) + _, _, tbErr := bech32.SegwitAddrDecode("tb", test) + t.Logf("tb error:%v\n", tbErr) + if bcErr != nil && tbErr != nil { + t.Logf("Invalid address %v : ok\n", test) + } else { + t.Errorf("Invalid address %v : FAIL\n", test) + } + } +} + +// add coverage tests + +func TestCoverage(t *testing.T) { + var err error + var bech32String string + var hrp string + var data []int + + // SegwitAddrEncode + bech32String, err = bech32.SegwitAddrEncode("bc", 1, []int{0, 1}) + if err != nil { + t.Errorf("Coverage SegwitAddrEncode normal case : FAIL / error : %+v\n", err) + } else { + t.Log("Coverage SegwitAddrEncode normal case : ok / bech32String :", bech32String) + } + data = make([]int, 40) + bech32String, err = bech32.SegwitAddrEncode("bc", 16, data) + if err != nil { + t.Errorf("Coverage SegwitAddrEncode normal case : FAIL / error : %+v\n", err) + } else { + t.Log("Coverage SegwitAddrEncode normal case : ok / bech32String :", bech32String) + } + data = make([]int, 20) + bech32String, err = bech32.SegwitAddrEncode("bc", 0, data) + if err != nil { + t.Errorf("Coverage SegwitAddrEncode normal case : FAIL / error : %+v\n", err) + } else { + t.Log("Coverage SegwitAddrEncode normal case : ok / bech32String :", bech32String) + } + data = make([]int, 32) + bech32String, err = bech32.SegwitAddrEncode("bc", 0, data) + if err != nil { + t.Errorf("Coverage SegwitAddrEncode normal case : FAIL / error : %+v\n", err) + } else { + t.Log("Coverage SegwitAddrEncode normal case : ok / bech32String :", bech32String) + } + data = make([]int, 1) + _, err = bech32.SegwitAddrEncode("bc", 1, data) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode invalid program length error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode invalid program length error case : ok / error :", err) + } + data = make([]int, 41) + _, err = bech32.SegwitAddrEncode("bc", 1, data) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode invalid program length error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode invalid program length error case : ok / error :", err) + } + data = make([]int, 26) + _, err = bech32.SegwitAddrEncode("bc", 0, data) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode invalid program length for witness version 0 (per BIP141) error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode invalid program length for witness version 0 (per BIP141) error case : ok / error :", err) + } + data = make([]int, 20) + _, err = bech32.SegwitAddrEncode("Bc", 0, data) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode Encode error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode Encode error case : ok / error :", err) + } + _, err = bech32.SegwitAddrEncode("bc", 1, []int{-1, 0}) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode invalid data range error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode invalid data range error case : ok / error :", err) + } + _, err = bech32.SegwitAddrEncode("bc", -1, data) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode invalid witness version error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode invalid witness version error case : ok / error :", err) + } + _, err = bech32.SegwitAddrEncode("bc", 17, data) + if err == nil { + t.Errorf("Coverage SegwitAddrEncode invalid witness version error case : FAIL") + } else { + t.Log("Coverage SegwitAddrEncode invalid witness version error case : ok / error :", err) + } + + // SegwitAddrDecode + _, _, err = bech32.SegwitAddrDecode("a", "A12UEL5L") + if err == nil { + t.Errorf("Coverage SegwitAddrDecode invalid decode data length error case : FAIL") + } else { + t.Log("Coverage SegwitAddrDecode invalid decode data length error case : ok / error :", err) + } + + // Decode + _, _, err = bech32.Decode("!~1qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqc356v3") + if err != nil { + t.Errorf("Coverage Decode normal case : FAIL / error :%v", err) + } else { + t.Log("Coverage Decode normal case : ok") + } + _, _, err = bech32.Decode("a1qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq") + if err == nil { + t.Errorf("Coverage Decode too long error case : FAIL") + } else { + t.Log("Coverage Decode too long error case : ok / error :", err) + } + _, _, err = bech32.Decode("1") + if err == nil { + t.Errorf("Coverage Decode separator '1' at invalid position error case : FAIL") + } else { + t.Log("Coverage Decode separator '1' at invalid position error case : ok / error :", err) + } + _, _, err = bech32.Decode("a1qqqqq") + if err == nil { + t.Errorf("Coverage Decode separator '1' at invalid position error case : FAIL") + } else { + t.Log("Coverage Decode separator '1' at invalid position error case : ok / error :", err) + } + _, _, err = bech32.Decode("a" + string(rune(32)) + "1qqqqqq") + if err == nil { + t.Errorf("Coverage Decode invalid character human-readable part error case : FAIL") + } else { + t.Log("Coverage Decode invalid character human-readable part error case : ok / error :", err) + } + _, _, err = bech32.Decode("a" + string(rune(127)) + "1qqqqqq") + if err == nil { + t.Errorf("Coverage Decode invalid character human-readable part error case : FAIL") + } else { + t.Log("Coverage Decode invalid character human-readable part error case : ok / error :", err) + } + _, _, err = bech32.Decode("a1qqqqqb") + if err == nil { + t.Errorf("Coverage Decode invalid character data part error case : FAIL") + } else { + t.Log("Coverage Decode invalid character data part erroer case : ok / error :", err) + } + + // Encode + hrp = "bc" + data = []int{} + bech32String, err = bech32.Encode(hrp, data) + if err != nil || bech32String != strings.ToLower(bech32String) { + t.Errorf("Coverage Encode lower case : FAIL / bech32String : %v , error : %v", bech32String, err) + } else { + t.Log("Coverage Encode lower case : ok / bech32String : ", bech32String) + } + hrp = "BC" + bech32String, err = bech32.Encode(hrp, data) + if err != nil || bech32String != strings.ToUpper(bech32String) { + t.Errorf("Coverage Encode upper case : FAIL / bech32String : %v , error : %v", bech32String, err) + } else { + t.Log("Coverage Encode upper case : ok / bech32String : ", bech32String) + } + hrp = "bc" + data = make([]int, 90-7-len(hrp)+1) + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode too long error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode too long error case : ok / error : ", err) + } + hrp = "" + data = make([]int, 90-7-len(hrp)) + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode invalid hrp error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode invalid hrp error case : ok / error : ", err) + } + hrp = "Bc" + data = make([]int, 90-7-len(hrp)) + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode mix case error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode mix case error case : ok / error : ", err) + } + hrp = string(rune(33)) + string(rune(126)) + data = make([]int, 90-7-len(hrp)) + bech32String, err = bech32.Encode(hrp, data) + if err != nil { + t.Errorf("Coverage Encode normal case : FAIL / error : %v", err) + } else { + t.Log("Coverage Encode normal case : ok / bech32String : ", bech32String) + } + hrp = string(rune(32)) + "c" + data = make([]int, 90-7-len(hrp)) + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode invalid character human-readable part error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode invalid character human-readable part error case : ok / error : ", err) + } + hrp = "b" + string(rune(127)) + data = make([]int, 90-7-len(hrp)) + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode invalid character human-readable part error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode invalid character human-readable part error case : ok / error : ", err) + } + hrp = "bc" + data = []int{0, 31} + bech32String, err = bech32.Encode(hrp, data) + if err != nil { + t.Errorf("Coverage Encode normal case : FAIL / error : %v", err) + } else { + t.Log("Coverage Encode normal case : ok / bech32String : ", bech32String) + } + hrp = "bc" + data = []int{-1} + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode invalid data error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode invalid data error case : ok / error : ", err) + } + hrp = "bc" + data = []int{32} + bech32String, err = bech32.Encode(hrp, data) + if err == nil { + t.Errorf("Coverage Encode invalid data error case : FAIL / bech32String : %v", bech32String) + } else { + t.Log("Coverage Encode invalid data error case : ok / error : ", err) + } +} + +// TestBech32 copied from the bitsuite ("github.com/btcsuite/btcutil/bech32") +// Copyright (c) 2017 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +func TestBech32(t *testing.T) { + tests := []struct { + str string + valid bool + }{ + {"A12UEL5L", true}, + {"an83characterlonghumanreadablepartthatcontainsthenumber1andtheexcludedcharactersbio1tt5tgs", true}, + {"abcdef1qpzry9x8gf2tvdw0s3jn54khce6mua7lmqqqxw", true}, + {"11qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqc8247j", true}, + {"split1checkupstagehandshakeupstreamerranterredcaperred2y9e3w", true}, + {"split1checkupstagehandshakeupstreamerranterredcaperred2y9e2w", false}, // invalid checksum + {"s lit1checkupstagehandshakeupstreamerranterredcaperredp8hs2p", false}, // invalid character (space) in hrp + {"spl" + string(rune(127)) + "t1checkupstagehandshakeupstreamerranterredcaperred2y9e3w", false}, // invalid character (DEL) in hrp + {"split1cheo2y9e2w", false}, // invalid character (o) in data part + {"split1a2y9w", false}, // too short data part + {"1checkupstagehandshakeupstreamerranterredcaperred2y9e3w", false}, // empty hrp + {"11qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqsqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqc8247j", false}, // too long + } + + for _, test := range tests { + str := test.str + hrp, decoded, err := bech32.Decode(str) + if !test.valid { + // Invalid string decoding should result in error. + if err == nil { + t.Error("expected decoding to fail for "+ + "invalid string %v", test.str) + } + continue + } + + // Valid string decoding should result in no error. + if err != nil { + t.Errorf("expected string to be valid bech32: %v", err) + } + + // Check that it encodes to the same string + encoded, err := bech32.Encode(hrp, decoded) + if err != nil { + t.Errorf("encoding failed: %v", err) + } + + if encoded != strings.ToLower(str) { + t.Errorf("expected data to encode to %v, but got %v", + str, encoded) + } + + // Flip a bit in the string an make sure it is caught. + pos := strings.LastIndexAny(str, "1") + flipped := str[:pos+1] + string((str[pos+1] ^ 1)) + str[pos+2:] + _, _, err = bech32.Decode(flipped) + if err == nil { + t.Error("expected decoding to fail") + } + } +} diff --git a/common/encode/leb128/dwarf_mod.go b/common/encode/leb128/dwarf_mod.go new file mode 100644 index 0000000..51e555f --- /dev/null +++ b/common/encode/leb128/dwarf_mod.go @@ -0,0 +1,144 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package leb128 + +// Note: +// The code copied & modified from https://golang.org/src/cmd/internal/dwarf/dwarf.go + +// AppendUleb128 appends v to b using DWARF's unsigned LEB128 encoding. +func AppendUleb128(b []byte, v uint64) []byte { + for { + c := uint8(v & 0x7f) + v >>= 7 + if v != 0 { + c |= 0x80 + } + b = append(b, c) + if c&0x80 == 0 { + break + } + } + return b +} + +// AppendSleb128 appends v to b using DWARF's signed LEB128 encoding. +func AppendSleb128(b []byte, v int64) []byte { + for { + c := uint8(v & 0x7f) + s := uint8(v & 0x40) + v >>= 7 + if (v != -1 || s == 0) && (v != 0 || s != 0) { + c |= 0x80 + } + b = append(b, c) + if c&0x80 == 0 { + break + } + } + return b +} + +// sevenbits contains all unsigned seven bit numbers, indexed by their value. +var sevenbits = [...]byte{ + 0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0x0a, 0x0b, 0x0c, 0x0d, 0x0e, 0x0f, + 0x10, 0x11, 0x12, 0x13, 0x14, 0x15, 0x16, 0x17, 0x18, 0x19, 0x1a, 0x1b, 0x1c, 0x1d, 0x1e, 0x1f, + 0x20, 0x21, 0x22, 0x23, 0x24, 0x25, 0x26, 0x27, 0x28, 0x29, 0x2a, 0x2b, 0x2c, 0x2d, 0x2e, 0x2f, + 0x30, 0x31, 0x32, 0x33, 0x34, 0x35, 0x36, 0x37, 0x38, 0x39, 0x3a, 0x3b, 0x3c, 0x3d, 0x3e, 0x3f, + 0x40, 0x41, 0x42, 0x43, 0x44, 0x45, 0x46, 0x47, 0x48, 0x49, 0x4a, 0x4b, 0x4c, 0x4d, 0x4e, 0x4f, + 0x50, 0x51, 0x52, 0x53, 0x54, 0x55, 0x56, 0x57, 0x58, 0x59, 0x5a, 0x5b, 0x5c, 0x5d, 0x5e, 0x5f, + 0x60, 0x61, 0x62, 0x63, 0x64, 0x65, 0x66, 0x67, 0x68, 0x69, 0x6a, 0x6b, 0x6c, 0x6d, 0x6e, 0x6f, + 0x70, 0x71, 0x72, 0x73, 0x74, 0x75, 0x76, 0x77, 0x78, 0x79, 0x7a, 0x7b, 0x7c, 0x7d, 0x7e, 0x7f, +} + +// sevenBitU returns the unsigned LEB128 encoding of v if v is seven bits and nil otherwise. +// The contents of the returned slice must not be modified. +func sevenBitU(v int64) []byte { + if uint64(v) < uint64(len(sevenbits)) { + return sevenbits[v : v+1] + } + return nil +} + +// sevenBitS returns the signed LEB128 encoding of v if v is seven bits and nil otherwise. +// The contents of the returned slice must not be modified. +func sevenBitS(v int64) []byte { + if uint64(v) <= 63 { + return sevenbits[v : v+1] + } + if uint64(-v) <= 64 { + return sevenbits[128+v : 128+v+1] + } + return nil +} + +// Uleb128FromInt64 encode int64 v to []byte using unsigned LEB128 encoding. +func Uleb128FromInt64(v int64) []byte { + b := sevenBitU(v) + if b == nil { + var encbuf [20]byte + b = AppendUleb128(encbuf[:0], uint64(v)) + } + return b +} + +// Sleb128FromInt64 encode int64 v to []byte using signed LEB128 encoding. +func Sleb128FromInt64(v int64) []byte { + b := sevenBitS(v) + if b == nil { + var encbuf [20]byte + b = AppendSleb128(encbuf[:0], v) + } + return b +} + +// Note +// The two Decode methods copied & modified from +// https://github.com/Equim-chan/leb128/blob/master/leb128.go + +// Uleb128ToUint64 decodes b to u with unsigned LEB128 encoding and returns the +// number of bytes read. On error (bad encoded b), n will be 0 and therefore u +// must not be trusted. +func Uleb128ToUint64(b []byte) (u uint64, n uint8) { + l := uint8(len(b) & 0xff) + // The longest LEB128 encoded sequence is 10 byte long (9 0xff's and 1 0x7f) + // so make sure we won't overflow. + if l > 10 { + l = 10 + } + + var i uint8 + for i = 0; i < l; i++ { + u |= uint64(b[i]&0x7f) << (7 * i) + if b[i]&0x80 == 0 { + n = uint8(i + 1) + return + } + } + + return +} + +// Sleb128ToInt64 decodes b to s with signed LEB128 encoding and returns the +// number of bytes read. On error (bad encoded b), n will be 0 and therefore s +// must not be trusted. +func Sleb128ToInt64(b []byte) (s int64, n uint8) { + l := uint8(len(b) & 0xff) + if l > 10 { + l = 10 + } + + var i uint8 + for i = 0; i < l; i++ { + s |= int64(b[i]&0x7f) << (7 * i) + if b[i]&0x80 == 0 { + // If it's signed + if b[i]&0x40 != 0 { + s |= ^0 << (7 * (i + 1)) + } + n = uint8(i + 1) + return + } + } + + return +} diff --git a/common/encode/leb128/dwarf_mod_test.go b/common/encode/leb128/dwarf_mod_test.go new file mode 100644 index 0000000..985ff28 --- /dev/null +++ b/common/encode/leb128/dwarf_mod_test.go @@ -0,0 +1,212 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package leb128 + +import ( + "fmt" + "reflect" + "strings" + "testing" +) + +func TestInt64(t *testing.T) { + tests := []struct { + n int64 + want []byte + }{ + {0, []byte{0x00}}, + {1, []byte{0x01}}, + {2, []byte{0x02}}, + {3, []byte{0x03}}, + {4, []byte{0x04}}, + {5, []byte{0x05}}, + {63, []byte{0x3F}}, + {64, []byte{0x40}}, + {65, []byte{0x41}}, + {100, []byte{0x64}}, + {127, []byte{0x7F}}, + {128, []byte{0x80, 0x01}}, + {129, []byte{0x81, 0x01}}, + {2141192192, []byte{0x80, 0x80, 0x80, 0xFD, 0x07}}, + {^int64(0), []byte{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x01}}, + } + for _, tt := range tests { + t.Run("TestFromInt64", func(t *testing.T) { + if got := Uleb128FromInt64(tt.n); !reflect.DeepEqual(got, tt.want) { + t.Errorf("Uleb128FromInt64(%v) = %0x, want %0x", tt.n, got, tt.want) + } + }) + t.Run("TestToInt64", func(t *testing.T) { + if got, _ := Uleb128ToUint64(tt.want); !reflect.DeepEqual(int64(got), tt.n) { + t.Errorf("Uleb128ToUint64(%v) = %0x, want %0x", tt.want, got, tt.n) + } + }) + } +} + +// Note +// The following test case copied & modified from +// https://github.com/Equim-chan/leb128/blob/master/leb128_test.go + +var ( + uleb128Spec = map[uint64]string{ + 0: "00000000", + 0x7f: "01111111", + 0x80: "00000001 10000000", + 0xff: "00000001 11111111", + 2333: "00010010 10011101", + 0xef17: "00000011 11011110 10010111", + 624485: "00100110 10001110 11100101", + 0xffff: "00000011 11111111 11111111", + 18446744073709551615: "00000001 11111111 11111111 11111111 11111111 11111111 11111111 11111111 11111111 11111111", + } + sleb128Spec = map[int64]string{ + -9223372036854775808: "01111111 10000000 10000000 10000000 10000000 10000000 10000000 10000000 10000000 10000000", + -624485: "01011001 11110001 10011011", + ^0x40: "01111111 10111111", + ^0x3f: "01000000", + -1: "01111111", + 0: "00000000", + 1: "00000001", + 0x3f: "00111111", + 0x40: "00000000 11000000", + 0xef17: "00000011 11011110 10010111", + 9223372036854775807: "00000000 11111111 11111111 11111111 11111111 11111111 11111111 11111111 11111111 11111111", + } + errorSpec = map[string]uint8{ + "11111111": 0, + "10000000 10000000": 0, + "01111111 10000000 10000000 10000000 10000000 10000000 10000000 10000000 10000000 10000000 11111111": 0, + } +) + +// bytesToBinary encodes b into a base 2 string in MSB to LSB order. +func bytesToBinary(b []byte) string { + l := len(b) + parts := make([]string, l) + + for i, v := range b { + parts[l-i-1] = fmt.Sprintf("%08b", v) + } + + return strings.Join(parts, " ") +} + +// binaryToBytes decodes base 2 string in MSB to LSB order into bytes. +func binaryToBytes(s string) []byte { + parts := strings.Split(s, " ") + l := len(parts) + b := make([]byte, l) + + for i, v := range parts { + fmt.Sscanf(v, "%b", &b[l-i-1]) + } + + return b +} + +func TestEncodeUleb128(t *testing.T) { + count := 0 + for input, expected := range uleb128Spec { + var b []byte + if count%2 == 0 { + b = AppendUleb128([]byte("magic"), input)[5:] + } else { + b = AppendUleb128(nil, input) + } + + if actual := bytesToBinary(b); actual != expected { + t.Fatalf("\nInput: %v\nExpected: %v\n Got: %v\n", input, expected, actual) + } + + count++ + } +} + +func TestEncodeSleb128(t *testing.T) { + count := 0 + for input, expected := range sleb128Spec { + var b []byte + if count%2 == 0 { + b = AppendSleb128([]byte("equim"), input)[5:] + } else { + b = AppendSleb128(nil, input) + } + + if actual := bytesToBinary(b); actual != expected { + t.Fatalf("\nInput: %v\nExpected: %v\n Got: %v\n", input, expected, actual) + } + + count++ + } +} + +func TestDecodeUleb128(t *testing.T) { + count := 0 + for expected, binStr := range uleb128Spec { + input := binaryToBytes(binStr) + + var actual uint64 + var n uint8 + if count%2 == 0 { + actual, n = Uleb128ToUint64(append(input, []byte("magic")...)) + } else { + actual, n = Uleb128ToUint64(input) + } + + if expectedN := len(input); int(n) != expectedN { + t.Fatalf("\nInput: %v\nExpected: n == %v\n Got: n == %v\n", input, expectedN, n) + } + + if actual != expected { + t.Fatalf("\nInput: %v\nExpected: %v\n Got: %v\n", input, expected, actual) + } + + count++ + } + + for binStr, expected := range errorSpec { + input := binaryToBytes(binStr) + + _, actual := Uleb128ToUint64(input) + + if actual != expected { + t.Fatalf("\nInput: %v\nExpected: %v\n Got: %v\n", input, expected, actual) + } + } +} + +func TestDecodeSleb128(t *testing.T) { + count := 0 + for expected, binStr := range sleb128Spec { + input := binaryToBytes(binStr) + + var actual int64 + var n uint8 + if count%2 == 0 { + actual, n = Sleb128ToInt64(append(input, []byte("magic")...)) + } else { + actual, n = Sleb128ToInt64(input) + } + + if expectedN := len(input); int(n) != expectedN { + t.Fatalf("\nInput: %v\nExpected: n == %v\n Got: n == %v\n", input, expectedN, n) + } + + if actual != expected { + t.Fatalf("\nInput: %v\nExpected: %v\n Got: %v\n", input, expected, actual) + } + + count++ + } + + for binStr, expected := range errorSpec { + input := binaryToBytes(binStr) + + _, actual := Sleb128ToInt64(input) + + if actual != expected { + t.Fatalf("\nInput: %v\nExpected: %v\n Got: %v\n", input, expected, actual) + } + } +} diff --git a/common/encode/leb128/leb128.go b/common/encode/leb128/leb128.go new file mode 100644 index 0000000..b5d720f --- /dev/null +++ b/common/encode/leb128/leb128.go @@ -0,0 +1,290 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package leb128 + +import ( + "math/big" +) + +// The code originally copied from https://github.com/filecoin-project/go-leb128 +// +// LEB128 or Little Endian Base 128 is a form of variable-length code compression +// used to store an arbitrarily large integer in a small number of bytes. +// see : +// https://en.wikipedia.org/wiki/LEB128. +// see also +// https://en.wikipedia.org/wiki/Variable-length_quantity +// +// Unsigned LEB128 +// unsigned number 624485 +// MSB ----------------- LSB +// 10011000011101100101 In raw binary +// 010011000011101100101 Padded to a multiple of 7 bits +// 0100110 0001110 1100101 Split into 7-bit groups +// 00100110 10001110 11100101 Add high 1 bits on all but last (most significant) group to form bytes +// 0x26 0x8E 0xE5 In hexadecimal +// +// 0xE5 0x8E 0x26 Output stream (LSB to MSB) +// +// Signed LEB128 +// signed number -624485 (0xFFF6789B) +// MSB ------------------ LSB +// 01100111100010011011 In raw two's complement binary +// 101100111100010011011 Sign extended to a multiple of 7 bits +// 1011001 1110001 0011011 Split into 7-bit groups +// 01011001 11110001 10011011 Add high 1 bits on all but last (most significant) group to form bytes +// 0x59 0xF1 0x9B In hexadecimal +// +// → 0x9B 0xF1 0x59 Output stream (LSB to MSB) +// +// TODO revisit & refactor the impl & refactor the current core serialization +// +// Reference: +// +// 1.) Varint define in Git (https://github.com/git/git/blob/master/varint.c) +// +// uintmax_t decode_varint(const unsigned char **bufp) +// { +// const unsigned char *buf = *bufp; +// unsigned char c = *buf++; +// uintmax_t val = c & 127; +// while (c & 128) { +// val += 1; +// if (!val || MSB(val, 7)) +// return 0; /* overflow */ +// c = *buf++; +// val = (val << 7) + (c & 127); +// } +// *bufp = buf; +// return val; +// } +// +// int encode_varint(uintmax_t value, unsigned char *buf) +// { +// unsigned char varint[16]; +// unsigned pos = sizeof(varint) - 1; +// varint[pos] = value & 127; +// while (value >>= 7) +// varint[--pos] = 128 | (--value & 127); +// if (buf) +// memcpy(buf, varint + pos, sizeof(varint) - pos); +// return sizeof(varint) - pos; +// } +// +// 2.) VarInt Define in the Bitcoin Core (https://github.com/bitcoin/bitcoin/blob/master/src/serialize.h) +// +// Variable-length integers: bytes are a MSB base-128 encoding of the number. +// The high bit in each byte signifies whether another digit follows. To make +// sure the encoding is one-to-one, one is subtracted from all but the last digit. +// Thus, the byte sequence a[] with length len, where all but the last byte +// has bit 128 set, encodes the number: +// +// (a[len-1] & 0x7F) + sum(i=1..len-1, 128^i*((a[len-i-1] & 0x7F)+1)) +// +// Properties: +// * Very small (0-127: 1 byte, 128-16511: 2 bytes, 16512-2113663: 3 bytes) +// * Every integer has exactly one encoding +// * Encoding does not depend on size of original integer type +// * No redundancy: every (infinite) byte sequence corresponds to a list +// of encoded integers. +// +// 0: [0x00] 256: [0x81 0x00] +// 1: [0x01] 16383: [0xFE 0x7F] +// 127: [0x7F] 16384: [0xFF 0x00] +// 128: [0x80 0x00] 16511: [0xFF 0x7F] +// 255: [0x80 0x7F] 65535: [0x82 0xFE 0x7F] +// 2^32: [0x8E 0xFE 0xFE 0xFF 0x00] +// +// Currently there is no support for signed encodings. The default mode will not +// compile with signed values, and the legacy "nonnegative signed" mode will +// accept signed values, but improperly encode and decode them if they are +// negative. In the future, the DEFAULT mode could be extended to support +// negative numbers in a backwards compatible way, and additional modes could be +// added to support different varint formats (e.g. zigzag encoding). +// +// template +// inline unsigned int GetSizeOfVarInt(I n) +// { +// CheckVarIntMode(); +// int nRet = 0; +// while(true) { +// nRet++; +// if (n <= 0x7F) +// break; +// n = (n >> 7) - 1; +// } +// return nRet; +// } +// +// template +// void WriteVarInt(Stream& os, I n) +// { +// CheckVarIntMode(); +// unsigned char tmp[(sizeof(n)*8+6)/7]; +// int len=0; +// while(true) { +// tmp[len] = (n & 0x7F) | (len ? 0x80 : 0x00); +// if (n <= 0x7F) +// break; +// n = (n >> 7) - 1; +// len++; +// } +// do { +// ser_writedata8(os, tmp[len]); +// } while(len--); +// } +// +// template +// I ReadVarInt(Stream& is) +// { +// CheckVarIntMode(); +// I n = 0; +// while(true) { +// unsigned char chData = ser_readdata8(is); +// if (n > (std::numeric_limits::max() >> 7)) { +// throw std::ios_base::failure("ReadVarInt(): size too large"); +// } +// n = (n << 7) | (chData & 0x7F); +// if (chData & 0x80) { +// if (n == std::numeric_limits::max()) { +// throw std::ios_base::failure("ReadVarInt(): size too large"); +// } +// n++; +// } else { +// return n; +// } +// } +// } +// + +// FromUInt64 encodes n with LEB128 and returns the encoded bytes. +func FromUInt64(n uint64) (out []byte) { + more := true + for more { + b := byte(n & 0x7F) + n >>= 7 + if n == 0 { + more = false + } else { + b = b | 0x80 + } + out = append(out, b) + } + return +} + +// TODO, not check the input overflow +// ToUInt64 decodes LEB128-encoded bytes into a uint64. +func ToUInt64(encoded []byte) uint64 { + var result uint64 + var shift, i uint + for { + b := encoded[i] + result |= (uint64(0x7F & b)) << shift + if b&0x80 == 0 { + break + } + shift += 7 + i++ + } + return result +} + +// FromBigInt encodes the signed big integer n in two's complement, +// LEB128-encodes it, and returns the encoded bytes. +func FromBigInt(n *big.Int) (out []byte) { + size := n.BitLen() + negative := n.Sign() < 0 + if negative { + // big.Int stores integers using sign and magnitude. Returns a copy + // as the code below is destructive. + n = twosComplementBigInt(n) + } else { + // The code below is destructive so make a copy. + n = big.NewInt(0).Set(n) + } + + more := true + for more { + bBigInt := big.NewInt(0) + n.DivMod(n, big.NewInt(128), bBigInt) // This does the mask and the shift. + b := uint8(bBigInt.Int64()) + + // We just logically right-shifted the bits of n so we need to sign extend + // if n is negative (this simulates an arithmetic shift). + if negative { + signExtend(n, size) + } + + if (n.Sign() == 0 && b&0x40 == 0) || + (negative && equalsNegativeOne(n, size) && b&0x40 > 0) { + more = false + } else { + b = b | 0x80 + } + out = append(out, b) + } + return +} + +// ToBigInt decodes the signed big integer found in the given bytes. +func ToBigInt(encoded []byte) *big.Int { + result := big.NewInt(0) + var shift, i int + var b byte + size := len(encoded) * 8 + + for { + b = encoded[i] + for bitPos := uint(0); bitPos < 7; bitPos++ { + result.SetBit(result, 7*i+int(bitPos), uint((b>>bitPos)&0x01)) + } + shift += 7 + if b&0x80 == 0 { + break + } + i++ + } + + if b&0x40 > 0 { + // Sign extend. + for ; shift < size; shift++ { + result.SetBit(result, shift, 1) + } + result = twosComplementBigInt(result) + result.Neg(result) + } + return result +} + +func twosComplementBigInt(n *big.Int) *big.Int { + absValBytes := n.Bytes() + for i, b := range absValBytes { + absValBytes[i] = ^b + } + bitsFlipped := big.NewInt(0).SetBytes(absValBytes) + return bitsFlipped.Add(bitsFlipped, big.NewInt(1)) +} + +func signExtend(n *big.Int, size int) { + bitPos := size - 7 + max := size + if bitPos < 0 { + bitPos = 0 + max = 7 + } + for ; bitPos < max; bitPos++ { + n.SetBit(n, bitPos, 1) + } +} + +// equalsNegativeOne is a poor man's check that n, which +// is encoded in two's complement, is all 1's. +func equalsNegativeOne(n *big.Int, size int) bool { + for i := 0; i < size; i++ { + if !(n.Bit(i) == 1) { + return false + } + } + return true +} diff --git a/common/encode/leb128/leb128_test.go b/common/encode/leb128/leb128_test.go new file mode 100644 index 0000000..dee459d --- /dev/null +++ b/common/encode/leb128/leb128_test.go @@ -0,0 +1,174 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package leb128 + +import ( + "math/big" + "reflect" + "testing" + + "encoding/hex" + "fmt" + "github.com/stretchr/testify/assert" +) + +func TestFromUInt64(t *testing.T) { + tests := []struct { + n uint64 + want []byte + }{ + {0, []byte{0x00}}, + {1, []byte{0x01}}, + {2, []byte{0x02}}, + {3, []byte{0x03}}, + {4, []byte{0x04}}, + {5, []byte{0x05}}, + {63, []byte{0x3F}}, + {64, []byte{0x40}}, + {65, []byte{0x41}}, + {100, []byte{0x64}}, + {127, []byte{0x7F}}, + {128, []byte{0x80, 0x01}}, + {129, []byte{0x81, 0x01}}, + {2141192192, []byte{0x80, 0x80, 0x80, 0xFD, 0x07}}, + {^uint64(0), []byte{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x01}}, + } + for _, tt := range tests { + t.Run("TestFromUInt64", func(t *testing.T) { + if got := FromUInt64(tt.n); !reflect.DeepEqual(got, tt.want) { + t.Errorf("FromUInt64(%v) = %0x, want %0x", tt.n, got, tt.want) + } + }) + } +} + +func TestLEB128UInt64RoundTrip(t *testing.T) { + assert := assert.New(t) + + for pow := uint(0); pow < 64; pow++ { + var x uint64 = 1 << pow + for v := uint64(x - 10); v <= x+10; v++ { + got := ToUInt64(FromUInt64(v)) + assert.Equal(v, got) + } + } +} + +func TestFromBigInt(t *testing.T) { + tests := []struct { + n int64 + want []byte + }{ + {0, []byte{0x00}}, + {1, []byte{0x01}}, + {2, []byte{0x02}}, + {3, []byte{0x03}}, + {4, []byte{0x04}}, + {5, []byte{0x05}}, + {63, []byte{0x3F}}, + {64, []byte{0xC0, 0x00}}, + {65, []byte{0xC1, 0x00}}, + {100, []byte{0xE4, 0x00}}, + {127, []byte{0xFF, 0x00}}, + {128, []byte{0x80, 0x01}}, + {129, []byte{0x81, 0x01}}, + {2141192192, []byte{0x80, 0x80, 0x80, 0xFD, 0x07}}, + + {-1, []byte{0x7F}}, + {-2, []byte{0x7E}}, + {-3, []byte{0x7D}}, + {-4, []byte{0x7C}}, + {-5, []byte{0x7B}}, + {-63, []byte{0x41}}, + {-64, []byte{0x40}}, + {-65, []byte{0xBF, 0x7F}}, + {-100, []byte{0x9C, 0x7F}}, + {-127, []byte{0x81, 0x7F}}, + {-128, []byte{0x80, 0x7F}}, + {-129, []byte{0xFF, 0x7E}}, + {-624485, []byte{0x9B, 0xF1, 0x59}}, + } + + for _, tt := range tests { + t.Run("TestFromBigInt", func(t *testing.T) { + if gotOut := FromBigInt(big.NewInt(tt.n)); !reflect.DeepEqual(gotOut, tt.want) { + t.Errorf("FromBigInt(%v) = %0x, want %0x", tt.n, gotOut, tt.want) + } + }) + } +} + +func TestFromBigIntIsNotDestructive(t *testing.T) { + assert := assert.New(t) + + v := big.NewInt(-10) + vOrig := big.NewInt(0).Set(v) + _ = FromBigInt(v) + assert.True(vOrig.Cmp(v) == 0) + + v = big.NewInt(10) + vOrig = big.NewInt(0).Set(v) + _ = FromBigInt(v) + assert.True(vOrig.Cmp(v) == 0) +} + +func TestLEB128BigIntRoundTrip(t *testing.T) { + assert := assert.New(t) + + // Strategy: for a range of 20 values on either side of the powers of + // two up to 2**128, check the round trip for each value and for its + // negative. + for pow := uint(0); pow < 128; pow++ { + x := big.NewInt(1) + x.Lsh(x, pow) + i := int64(-10) + for { + posV := big.NewInt(0).Set(x) + posV.Add(posV, big.NewInt(i)) + got := ToBigInt(FromBigInt(posV)) + assert.True(posV.Cmp(got) == 0, "expected %s got %s", posV, got) + + negV := big.NewInt(0).Set(posV) + negV.Neg(negV) + got = ToBigInt(FromBigInt(negV)) + assert.True(negV.Cmp(got) == 0, "expected %s got %s", negV, got) + + i++ + if i == 10 { + break + } + } + } +} + +// It's the test case of the overflow for FromUInt64 +// TODO fix the overflow +func TestOverflowFromUInt64(t *testing.T) { + + assert := assert.New(t) + + // The normal case + // The longest LEB128 encoded sequence is 10-bytes long (9 0xff's and 1 0x7f) + input := []byte{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x01} // 10 bytes + got := ToUInt64(input) + assert.Equal(^uint64(0), got) // the uint64 max -> 8 0xff's + output := FromUInt64(^uint64(0)) + assert.Equal(output, input[:]) + fmt.Printf("%x = %x \n", output, input) + + // case 1 : incorrect result + input = []byte{0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0x01} + assert.True(len(input) > 20, "len=%d", len(input)) + got = ToUInt64(input) + assert.Equal(^uint64(0), got) // not correct, wrong input + output = FromUInt64(^uint64(0)) + assert.NotEqual(output, input[:]) + fmt.Printf("%x != %x \n", FromUInt64(^uint64(0)), input) //max + + // case 2 : panic when bad input + bad, _ := hex.DecodeString("ffffffffffffffffffff") + bad = append([]byte(nil), bad...) + assert.Panics(func() { ToUInt64(bad) }, "should overflow with bad input :%s", bad) +} diff --git a/common/encode/rlp/decode.go b/common/encode/rlp/decode.go new file mode 100644 index 0000000..5f3f5ee --- /dev/null +++ b/common/encode/rlp/decode.go @@ -0,0 +1,989 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "bufio" + "bytes" + "encoding/binary" + "errors" + "fmt" + "io" + "math/big" + "reflect" + "strings" + "sync" +) + +//lint:ignore ST1012 EOL is not an error. + +// EOL is returned when the end of the current list +// has been reached during streaming. +var EOL = errors.New("rlp: end of list") + +var ( + ErrExpectedString = errors.New("rlp: expected String or Byte") + ErrExpectedList = errors.New("rlp: expected List") + ErrCanonInt = errors.New("rlp: non-canonical integer format") + ErrCanonSize = errors.New("rlp: non-canonical size information") + ErrElemTooLarge = errors.New("rlp: element is larger than containing list") + ErrValueTooLarge = errors.New("rlp: value size exceeds available input length") + ErrMoreThanOneValue = errors.New("rlp: input contains more than one value") + + // internal errors + errNotInList = errors.New("rlp: call of ListEnd outside of any list") + errNotAtEOL = errors.New("rlp: call of ListEnd not positioned at EOL") + errUintOverflow = errors.New("rlp: uint overflow") + errNoPointer = errors.New("rlp: interface given to Decode must be a pointer") + errDecodeIntoNil = errors.New("rlp: pointer given to Decode must not be nil") + + streamPool = sync.Pool{ + New: func() interface{} { return new(Stream) }, + } +) + +// Decoder is implemented by types that require custom RLP decoding rules or need to decode +// into private fields. +// +// The DecodeRLP method should read one value from the given Stream. It is not forbidden to +// read less or more, but it might be confusing. +type Decoder interface { + DecodeRLP(*Stream) error +} + +// Decode parses RLP-encoded data from r and stores the result in the value pointed to by +// val. Please see package-level documentation for the decoding rules. Val must be a +// non-nil pointer. +// +// If r does not implement ByteReader, Decode will do its own buffering. +// +// Note that Decode does not set an input limit for all readers and may be vulnerable to +// panics cause by huge value sizes. If you need an input limit, use +// +// NewStream(r, limit).Decode(val) +func Decode(r io.Reader, val interface{}) error { + stream := streamPool.Get().(*Stream) + defer streamPool.Put(stream) + + stream.Reset(r, 0) + return stream.Decode(val) +} + +// DecodeBytes parses RLP data from b into val. Please see package-level documentation for +// the decoding rules. The input must contain exactly one value and no trailing data. +func DecodeBytes(b []byte, val interface{}) error { + r := bytes.NewReader(b) + + stream := streamPool.Get().(*Stream) + defer streamPool.Put(stream) + + stream.Reset(r, uint64(len(b))) + if err := stream.Decode(val); err != nil { + return err + } + if r.Len() > 0 { + return ErrMoreThanOneValue + } + return nil +} + +type decodeError struct { + msg string + typ reflect.Type + ctx []string +} + +func (err *decodeError) Error() string { + ctx := "" + if len(err.ctx) > 0 { + ctx = ", decoding into " + for i := len(err.ctx) - 1; i >= 0; i-- { + ctx += err.ctx[i] + } + } + return fmt.Sprintf("rlp: %s for %v%s", err.msg, err.typ, ctx) +} + +func wrapStreamError(err error, typ reflect.Type) error { + switch err { + case ErrCanonInt: + return &decodeError{msg: "non-canonical integer (leading zero bytes)", typ: typ} + case ErrCanonSize: + return &decodeError{msg: "non-canonical size information", typ: typ} + case ErrExpectedList: + return &decodeError{msg: "expected input list", typ: typ} + case ErrExpectedString: + return &decodeError{msg: "expected input string or byte", typ: typ} + case errUintOverflow: + return &decodeError{msg: "input string too long", typ: typ} + case errNotAtEOL: + return &decodeError{msg: "input list has too many elements", typ: typ} + } + return err +} + +func addErrorContext(err error, ctx string) error { + if decErr, ok := err.(*decodeError); ok { + decErr.ctx = append(decErr.ctx, ctx) + } + return err +} + +var ( + decoderInterface = reflect.TypeOf(new(Decoder)).Elem() + bigInt = reflect.TypeOf(big.Int{}) +) + +func makeDecoder(typ reflect.Type, tags tags) (dec decoder, err error) { + kind := typ.Kind() + switch { + case typ == rawValueType: + return decodeRawValue, nil + case typ.AssignableTo(reflect.PtrTo(bigInt)): + return decodeBigInt, nil + case typ.AssignableTo(bigInt): + return decodeBigIntNoPtr, nil + case kind == reflect.Ptr: + return makePtrDecoder(typ, tags) + case reflect.PtrTo(typ).Implements(decoderInterface): + return decodeDecoder, nil + case isUint(kind): + return decodeUint, nil + case kind == reflect.Bool: + return decodeBool, nil + case kind == reflect.String: + return decodeString, nil + case kind == reflect.Slice || kind == reflect.Array: + return makeListDecoder(typ, tags) + case kind == reflect.Struct: + return makeStructDecoder(typ) + case kind == reflect.Interface: + return decodeInterface, nil + default: + return nil, fmt.Errorf("rlp: type %v is not RLP-serializable", typ) + } +} + +func decodeRawValue(s *Stream, val reflect.Value) error { + r, err := s.Raw() + if err != nil { + return err + } + val.SetBytes(r) + return nil +} + +func decodeUint(s *Stream, val reflect.Value) error { + typ := val.Type() + num, err := s.uint(typ.Bits()) + if err != nil { + return wrapStreamError(err, val.Type()) + } + val.SetUint(num) + return nil +} + +func decodeBool(s *Stream, val reflect.Value) error { + b, err := s.Bool() + if err != nil { + return wrapStreamError(err, val.Type()) + } + val.SetBool(b) + return nil +} + +func decodeString(s *Stream, val reflect.Value) error { + b, err := s.Bytes() + if err != nil { + return wrapStreamError(err, val.Type()) + } + val.SetString(string(b)) + return nil +} + +func decodeBigIntNoPtr(s *Stream, val reflect.Value) error { + return decodeBigInt(s, val.Addr()) +} + +func decodeBigInt(s *Stream, val reflect.Value) error { + b, err := s.Bytes() + if err != nil { + return wrapStreamError(err, val.Type()) + } + i := val.Interface().(*big.Int) + if i == nil { + i = new(big.Int) + val.Set(reflect.ValueOf(i)) + } + // Reject leading zero bytes + if len(b) > 0 && b[0] == 0 { + return wrapStreamError(ErrCanonInt, val.Type()) + } + i.SetBytes(b) + return nil +} + +func makeListDecoder(typ reflect.Type, tag tags) (decoder, error) { + etype := typ.Elem() + if etype.Kind() == reflect.Uint8 && !reflect.PtrTo(etype).Implements(decoderInterface) { + if typ.Kind() == reflect.Array { + return decodeByteArray, nil + } + return decodeByteSlice, nil + } + etypeinfo := cachedTypeInfo1(etype, tags{}) + if etypeinfo.decoderErr != nil { + return nil, etypeinfo.decoderErr + } + var dec decoder + switch { + case typ.Kind() == reflect.Array: + dec = func(s *Stream, val reflect.Value) error { + return decodeListArray(s, val, etypeinfo.decoder) + } + case tag.tail: + // A slice with "tail" tag can occur as the last field + // of a struct and is supposed to swallow all remaining + // list elements. The struct decoder already called s.List, + // proceed directly to decoding the elements. + dec = func(s *Stream, val reflect.Value) error { + return decodeSliceElems(s, val, etypeinfo.decoder) + } + default: + dec = func(s *Stream, val reflect.Value) error { + return decodeListSlice(s, val, etypeinfo.decoder) + } + } + return dec, nil +} + +func decodeListSlice(s *Stream, val reflect.Value, elemdec decoder) error { + size, err := s.List() + if err != nil { + return wrapStreamError(err, val.Type()) + } + if size == 0 { + val.Set(reflect.MakeSlice(val.Type(), 0, 0)) + return s.ListEnd() + } + if err := decodeSliceElems(s, val, elemdec); err != nil { + return err + } + return s.ListEnd() +} + +func decodeSliceElems(s *Stream, val reflect.Value, elemdec decoder) error { + i := 0 + for ; ; i++ { + // grow slice if necessary + if i >= val.Cap() { + newcap := val.Cap() + val.Cap()/2 + if newcap < 4 { + newcap = 4 + } + newv := reflect.MakeSlice(val.Type(), val.Len(), newcap) + reflect.Copy(newv, val) + val.Set(newv) + } + if i >= val.Len() { + val.SetLen(i + 1) + } + // decode into element + if err := elemdec(s, val.Index(i)); err == EOL { + break + } else if err != nil { + return addErrorContext(err, fmt.Sprint("[", i, "]")) + } + } + if i < val.Len() { + val.SetLen(i) + } + return nil +} + +func decodeListArray(s *Stream, val reflect.Value, elemdec decoder) error { + if _, err := s.List(); err != nil { + return wrapStreamError(err, val.Type()) + } + vlen := val.Len() + i := 0 + for ; i < vlen; i++ { + if err := elemdec(s, val.Index(i)); err == EOL { + break + } else if err != nil { + return addErrorContext(err, fmt.Sprint("[", i, "]")) + } + } + if i < vlen { + return &decodeError{msg: "input list has too few elements", typ: val.Type()} + } + return wrapStreamError(s.ListEnd(), val.Type()) +} + +func decodeByteSlice(s *Stream, val reflect.Value) error { + b, err := s.Bytes() + if err != nil { + return wrapStreamError(err, val.Type()) + } + val.SetBytes(b) + return nil +} + +func decodeByteArray(s *Stream, val reflect.Value) error { + kind, size, err := s.Kind() + if err != nil { + return err + } + vlen := val.Len() + switch kind { + case Byte: + if vlen == 0 { + return &decodeError{msg: "input string too long", typ: val.Type()} + } + if vlen > 1 { + return &decodeError{msg: "input string too short", typ: val.Type()} + } + bv, _ := s.Uint() + val.Index(0).SetUint(bv) + case String: + if uint64(vlen) < size { + return &decodeError{msg: "input string too long", typ: val.Type()} + } + if uint64(vlen) > size { + return &decodeError{msg: "input string too short", typ: val.Type()} + } + slice := val.Slice(0, vlen).Interface().([]byte) + if err := s.readFull(slice); err != nil { + return err + } + // Reject cases where single byte encoding should have been used. + if size == 1 && slice[0] < 128 { + return wrapStreamError(ErrCanonSize, val.Type()) + } + case List: + return wrapStreamError(ErrExpectedString, val.Type()) + } + return nil +} + +func makeStructDecoder(typ reflect.Type) (decoder, error) { + fields, err := structFields(typ) + if err != nil { + return nil, err + } + for _, f := range fields { + if f.info.decoderErr != nil { + return nil, structFieldError{typ, f.index, f.info.decoderErr} + } + } + dec := func(s *Stream, val reflect.Value) (err error) { + if _, err := s.List(); err != nil { + return wrapStreamError(err, typ) + } + for _, f := range fields { + err := f.info.decoder(s, val.Field(f.index)) + if err == EOL { + return &decodeError{msg: "too few elements", typ: typ} + } else if err != nil { + return addErrorContext(err, "."+typ.Field(f.index).Name) + } + } + return wrapStreamError(s.ListEnd(), typ) + } + return dec, nil +} + +// makePtrDecoder creates a decoder that decodes into the pointer's element type. +func makePtrDecoder(typ reflect.Type, tag tags) (decoder, error) { + etype := typ.Elem() + etypeinfo := cachedTypeInfo1(etype, tags{}) + switch { + case etypeinfo.decoderErr != nil: + return nil, etypeinfo.decoderErr + case !tag.nilOK: + return makeSimplePtrDecoder(etype, etypeinfo), nil + default: + return makeNilPtrDecoder(etype, etypeinfo, tag.nilKind), nil + } +} + +func makeSimplePtrDecoder(etype reflect.Type, etypeinfo *typeinfo) decoder { + return func(s *Stream, val reflect.Value) (err error) { + newval := val + if val.IsNil() { + newval = reflect.New(etype) + } + if err = etypeinfo.decoder(s, newval.Elem()); err == nil { + val.Set(newval) + } + return err + } +} + +// makeNilPtrDecoder creates a decoder that decodes empty values as nil. Non-empty +// values are decoded into a value of the element type, just like makePtrDecoder does. +// +// This decoder is used for pointer-typed struct fields with struct tag "nil". +func makeNilPtrDecoder(etype reflect.Type, etypeinfo *typeinfo, nilKind Kind) decoder { + typ := reflect.PtrTo(etype) + nilPtr := reflect.Zero(typ) + return func(s *Stream, val reflect.Value) (err error) { + kind, size, err := s.Kind() + if err != nil { + val.Set(nilPtr) + return wrapStreamError(err, typ) + } + // Handle empty values as a nil pointer. + if kind != Byte && size == 0 { + if kind != nilKind { + return &decodeError{ + msg: fmt.Sprintf("wrong kind of empty value (got %v, want %v)", kind, nilKind), + typ: typ, + } + } + // rearm s.Kind. This is important because the input + // position must advance to the next value even though + // we don't read anything. + s.kind = -1 + val.Set(nilPtr) + return nil + } + newval := val + if val.IsNil() { + newval = reflect.New(etype) + } + if err = etypeinfo.decoder(s, newval.Elem()); err == nil { + val.Set(newval) + } + return err + } +} + +var ifsliceType = reflect.TypeOf([]interface{}{}) + +func decodeInterface(s *Stream, val reflect.Value) error { + if val.Type().NumMethod() != 0 { + return fmt.Errorf("rlp: type %v is not RLP-serializable", val.Type()) + } + kind, _, err := s.Kind() + if err != nil { + return err + } + if kind == List { + slice := reflect.New(ifsliceType).Elem() + if err := decodeListSlice(s, slice, decodeInterface); err != nil { + return err + } + val.Set(slice) + } else { + b, err := s.Bytes() + if err != nil { + return err + } + val.Set(reflect.ValueOf(b)) + } + return nil +} + +func decodeDecoder(s *Stream, val reflect.Value) error { + return val.Addr().Interface().(Decoder).DecodeRLP(s) +} + +// Kind represents the kind of value contained in an RLP stream. +type Kind int + +const ( + Byte Kind = iota + String + List +) + +func (k Kind) String() string { + switch k { + case Byte: + return "Byte" + case String: + return "String" + case List: + return "List" + default: + return fmt.Sprintf("Unknown(%d)", k) + } +} + +// ByteReader must be implemented by any input reader for a Stream. It +// is implemented by e.g. bufio.Reader and bytes.Reader. +type ByteReader interface { + io.Reader + io.ByteReader +} + +// Stream can be used for piecemeal decoding of an input stream. This +// is useful if the input is very large or if the decoding rules for a +// type depend on the input structure. Stream does not keep an +// internal buffer. After decoding a value, the input reader will be +// positioned just before the type information for the next value. +// +// When decoding a list and the input position reaches the declared +// length of the list, all operations will return error EOL. +// The end of the list must be acknowledged using ListEnd to continue +// reading the enclosing list. +// +// Stream is not safe for concurrent use. +type Stream struct { + r ByteReader + + // number of bytes remaining to be read from r. + remaining uint64 + limited bool + + // auxiliary buffer for integer decoding + uintbuf []byte + + kind Kind // kind of value ahead + size uint64 // size of value ahead + byteval byte // value of single byte in type tag + kinderr error // error from last readKind + stack []listpos +} + +type listpos struct{ pos, size uint64 } + +// NewStream creates a new decoding stream reading from r. +// +// If r implements the ByteReader interface, Stream will +// not introduce any buffering. +// +// For non-toplevel values, Stream returns ErrElemTooLarge +// for values that do not fit into the enclosing list. +// +// Stream supports an optional input limit. If a limit is set, the +// size of any toplevel value will be checked against the remaining +// input length. Stream operations that encounter a value exceeding +// the remaining input length will return ErrValueTooLarge. The limit +// can be set by passing a non-zero value for inputLimit. +// +// If r is a bytes.Reader or strings.Reader, the input limit is set to +// the length of r's underlying data unless an explicit limit is +// provided. +func NewStream(r io.Reader, inputLimit uint64) *Stream { + s := new(Stream) + s.Reset(r, inputLimit) + return s +} + +// NewListStream creates a new stream that pretends to be positioned +// at an encoded list of the given length. +func NewListStream(r io.Reader, len uint64) *Stream { + s := new(Stream) + s.Reset(r, len) + s.kind = List + s.size = len + return s +} + +// Bytes reads an RLP string and returns its contents as a byte slice. +// If the input does not contain an RLP string, the returned +// error will be ErrExpectedString. +func (s *Stream) Bytes() ([]byte, error) { + kind, size, err := s.Kind() + if err != nil { + return nil, err + } + switch kind { + case Byte: + s.kind = -1 // rearm Kind + return []byte{s.byteval}, nil + case String: + b := make([]byte, size) + if err = s.readFull(b); err != nil { + return nil, err + } + if size == 1 && b[0] < 128 { + return nil, ErrCanonSize + } + return b, nil + default: + return nil, ErrExpectedString + } +} + +// Raw reads a raw encoded value including RLP type information. +func (s *Stream) Raw() ([]byte, error) { + kind, size, err := s.Kind() + if err != nil { + return nil, err + } + if kind == Byte { + s.kind = -1 // rearm Kind + return []byte{s.byteval}, nil + } + // the original header has already been read and is no longer + // available. read content and put a new header in front of it. + start := headsize(size) + buf := make([]byte, uint64(start)+size) + if err := s.readFull(buf[start:]); err != nil { + return nil, err + } + if kind == String { + puthead(buf, 0x80, 0xB7, size) + } else { + puthead(buf, 0xC0, 0xF7, size) + } + return buf, nil +} + +// Uint reads an RLP string of up to 8 bytes and returns its contents +// as an unsigned integer. If the input does not contain an RLP string, the +// returned error will be ErrExpectedString. +func (s *Stream) Uint() (uint64, error) { + return s.uint(64) +} + +func (s *Stream) uint(maxbits int) (uint64, error) { + kind, size, err := s.Kind() + if err != nil { + return 0, err + } + switch kind { + case Byte: + if s.byteval == 0 { + return 0, ErrCanonInt + } + s.kind = -1 // rearm Kind + return uint64(s.byteval), nil + case String: + if size > uint64(maxbits/8) { + return 0, errUintOverflow + } + v, err := s.readUint(byte(size)) + switch { + case err == ErrCanonSize: + // Adjust error because we're not reading a size right now. + return 0, ErrCanonInt + case err != nil: + return 0, err + case size > 0 && v < 128: + return 0, ErrCanonSize + default: + return v, nil + } + default: + return 0, ErrExpectedString + } +} + +// Bool reads an RLP string of up to 1 byte and returns its contents +// as a boolean. If the input does not contain an RLP string, the +// returned error will be ErrExpectedString. +func (s *Stream) Bool() (bool, error) { + num, err := s.uint(8) + if err != nil { + return false, err + } + switch num { + case 0: + return false, nil + case 1: + return true, nil + default: + return false, fmt.Errorf("rlp: invalid boolean value: %d", num) + } +} + +// List starts decoding an RLP list. If the input does not contain a +// list, the returned error will be ErrExpectedList. When the list's +// end has been reached, any Stream operation will return EOL. +func (s *Stream) List() (size uint64, err error) { + kind, size, err := s.Kind() + if err != nil { + return 0, err + } + if kind != List { + return 0, ErrExpectedList + } + s.stack = append(s.stack, listpos{0, size}) + s.kind = -1 + s.size = 0 + return size, nil +} + +// ListEnd returns to the enclosing list. +// The input reader must be positioned at the end of a list. +func (s *Stream) ListEnd() error { + if len(s.stack) == 0 { + return errNotInList + } + tos := s.stack[len(s.stack)-1] + if tos.pos != tos.size { + return errNotAtEOL + } + s.stack = s.stack[:len(s.stack)-1] // pop + if len(s.stack) > 0 { + s.stack[len(s.stack)-1].pos += tos.size + } + s.kind = -1 + s.size = 0 + return nil +} + +// Decode decodes a value and stores the result in the value pointed +// to by val. Please see the documentation for the Decode function +// to learn about the decoding rules. +func (s *Stream) Decode(val interface{}) error { + if val == nil { + return errDecodeIntoNil + } + rval := reflect.ValueOf(val) + rtyp := rval.Type() + if rtyp.Kind() != reflect.Ptr { + return errNoPointer + } + if rval.IsNil() { + return errDecodeIntoNil + } + decoder, err := cachedDecoder(rtyp.Elem()) + if err != nil { + return err + } + + err = decoder(s, rval.Elem()) + if decErr, ok := err.(*decodeError); ok && len(decErr.ctx) > 0 { + // add decode target type to error so context has more meaning + decErr.ctx = append(decErr.ctx, fmt.Sprint("(", rtyp.Elem(), ")")) + } + return err +} + +// Reset discards any information about the current decoding context +// and starts reading from r. This method is meant to facilitate reuse +// of a preallocated Stream across many decoding operations. +// +// If r does not also implement ByteReader, Stream will do its own +// buffering. +func (s *Stream) Reset(r io.Reader, inputLimit uint64) { + if inputLimit > 0 { + s.remaining = inputLimit + s.limited = true + } else { + // Attempt to automatically discover + // the limit when reading from a byte slice. + switch br := r.(type) { + case *bytes.Reader: + s.remaining = uint64(br.Len()) + s.limited = true + case *strings.Reader: + s.remaining = uint64(br.Len()) + s.limited = true + default: + s.limited = false + } + } + // Wrap r with a buffer if it doesn't have one. + bufr, ok := r.(ByteReader) + if !ok { + bufr = bufio.NewReader(r) + } + s.r = bufr + // Reset the decoding context. + s.stack = s.stack[:0] + s.size = 0 + s.kind = -1 + s.kinderr = nil + if s.uintbuf == nil { + s.uintbuf = make([]byte, 8) + } + s.byteval = 0 +} + +// Kind returns the kind and size of the next value in the +// input stream. +// +// The returned size is the number of bytes that make up the value. +// For kind == Byte, the size is zero because the value is +// contained in the type tag. +// +// The first call to Kind will read size information from the input +// reader and leave it positioned at the start of the actual bytes of +// the value. Subsequent calls to Kind (until the value is decoded) +// will not advance the input reader and return cached information. +func (s *Stream) Kind() (kind Kind, size uint64, err error) { + var tos *listpos + if len(s.stack) > 0 { + tos = &s.stack[len(s.stack)-1] + } + if s.kind < 0 { + s.kinderr = nil + // Don't read further if we're at the end of the + // innermost list. + if tos != nil && tos.pos == tos.size { + return 0, 0, EOL + } + s.kind, s.size, s.kinderr = s.readKind() + if s.kinderr == nil { + if tos == nil { + // At toplevel, check that the value is smaller + // than the remaining input length. + if s.limited && s.size > s.remaining { + s.kinderr = ErrValueTooLarge + } + } else { + // Inside a list, check that the value doesn't overflow the list. + if s.size > tos.size-tos.pos { + s.kinderr = ErrElemTooLarge + } + } + } + } + // Note: this might return a sticky error generated + // by an earlier call to readKind. + return s.kind, s.size, s.kinderr +} + +func (s *Stream) readKind() (kind Kind, size uint64, err error) { + b, err := s.readByte() + if err != nil { + if len(s.stack) == 0 { + // At toplevel, Adjust the error to actual EOF. io.EOF is + // used by callers to determine when to stop decoding. + switch err { + case io.ErrUnexpectedEOF: + err = io.EOF + case ErrValueTooLarge: + err = io.EOF + } + } + return 0, 0, err + } + s.byteval = 0 + switch { + case b < 0x80: + // For a single byte whose value is in the [0x00, 0x7F] range, that byte + // is its own RLP encoding. + s.byteval = b + return Byte, 0, nil + case b < 0xB8: + // Otherwise, if a string is 0-55 bytes long, + // the RLP encoding consists of a single byte with value 0x80 plus the + // length of the string followed by the string. The range of the first + // byte is thus [0x80, 0xB7]. + return String, uint64(b - 0x80), nil + case b < 0xC0: + // If a string is more than 55 bytes long, the + // RLP encoding consists of a single byte with value 0xB7 plus the length + // of the length of the string in binary form, followed by the length of + // the string, followed by the string. For example, a length-1024 string + // would be encoded as 0xB90400 followed by the string. The range of + // the first byte is thus [0xB8, 0xBF]. + size, err = s.readUint(b - 0xB7) + if err == nil && size < 56 { + err = ErrCanonSize + } + return String, size, err + case b < 0xF8: + // If the total payload of a list + // (i.e. the combined length of all its items) is 0-55 bytes long, the + // RLP encoding consists of a single byte with value 0xC0 plus the length + // of the list followed by the concatenation of the RLP encodings of the + // items. The range of the first byte is thus [0xC0, 0xF7]. + return List, uint64(b - 0xC0), nil + default: + // If the total payload of a list is more than 55 bytes long, + // the RLP encoding consists of a single byte with value 0xF7 + // plus the length of the length of the payload in binary + // form, followed by the length of the payload, followed by + // the concatenation of the RLP encodings of the items. The + // range of the first byte is thus [0xF8, 0xFF]. + size, err = s.readUint(b - 0xF7) + if err == nil && size < 56 { + err = ErrCanonSize + } + return List, size, err + } +} + +func (s *Stream) readUint(size byte) (uint64, error) { + switch size { + case 0: + s.kind = -1 // rearm Kind + return 0, nil + case 1: + b, err := s.readByte() + return uint64(b), err + default: + start := int(8 - size) + for i := 0; i < start; i++ { + s.uintbuf[i] = 0 + } + if err := s.readFull(s.uintbuf[start:]); err != nil { + return 0, err + } + if s.uintbuf[start] == 0 { + // Note: readUint is also used to decode integer + // values. The error needs to be adjusted to become + // ErrCanonInt in this case. + return 0, ErrCanonSize + } + return binary.BigEndian.Uint64(s.uintbuf), nil + } +} + +func (s *Stream) readFull(buf []byte) (err error) { + if err := s.willRead(uint64(len(buf))); err != nil { + return err + } + var nn, n int + for n < len(buf) && err == nil { + nn, err = s.r.Read(buf[n:]) + n += nn + } + if err == io.EOF { + err = io.ErrUnexpectedEOF + } + return err +} + +func (s *Stream) readByte() (byte, error) { + if err := s.willRead(1); err != nil { + return 0, err + } + b, err := s.r.ReadByte() + if err == io.EOF { + err = io.ErrUnexpectedEOF + } + return b, err +} + +func (s *Stream) willRead(n uint64) error { + s.kind = -1 // rearm Kind + + if len(s.stack) > 0 { + // check list overflow + tos := s.stack[len(s.stack)-1] + if n > tos.size-tos.pos { + return ErrElemTooLarge + } + s.stack[len(s.stack)-1].pos += n + } + if s.limited { + if n > s.remaining { + return ErrValueTooLarge + } + s.remaining -= n + } + return nil +} diff --git a/common/encode/rlp/decode_tail_test.go b/common/encode/rlp/decode_tail_test.go new file mode 100644 index 0000000..884c114 --- /dev/null +++ b/common/encode/rlp/decode_tail_test.go @@ -0,0 +1,49 @@ +// Copyright 2015 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "bytes" + "fmt" +) + +type structWithTail struct { + A, B uint + C []uint `rlp:"tail"` +} + +func ExampleDecode_structTagTail() { + // In this example, the "tail" struct tag is used to decode lists of + // differing length into a struct. + var val structWithTail + + err := Decode(bytes.NewReader([]byte{0xC4, 0x01, 0x02, 0x03, 0x04}), &val) + fmt.Printf("with 4 elements: err=%v val=%v\n", err, val) + + err = Decode(bytes.NewReader([]byte{0xC6, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06}), &val) + fmt.Printf("with 6 elements: err=%v val=%v\n", err, val) + + // Note that at least two list elements must be present to + // fill fields A and B: + err = Decode(bytes.NewReader([]byte{0xC1, 0x01}), &val) + fmt.Printf("with 1 element: err=%q\n", err) + + // Output: + // with 4 elements: err= val={1 2 [3 4]} + // with 6 elements: err= val={1 2 [3 4 5 6]} + // with 1 element: err="rlp: too few elements for rlp.structWithTail" +} diff --git a/common/encode/rlp/decode_test.go b/common/encode/rlp/decode_test.go new file mode 100644 index 0000000..167e997 --- /dev/null +++ b/common/encode/rlp/decode_test.go @@ -0,0 +1,929 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "bytes" + "encoding/hex" + "errors" + "fmt" + "io" + "math/big" + "reflect" + "strings" + "testing" +) + +func TestStreamKind(t *testing.T) { + tests := []struct { + input string + wantKind Kind + wantLen uint64 + }{ + {"00", Byte, 0}, + {"01", Byte, 0}, + {"7F", Byte, 0}, + {"80", String, 0}, + {"B7", String, 55}, + {"B90400", String, 1024}, + {"BFFFFFFFFFFFFFFFFF", String, ^uint64(0)}, + {"C0", List, 0}, + {"C8", List, 8}, + {"F7", List, 55}, + {"F90400", List, 1024}, + {"FFFFFFFFFFFFFFFFFF", List, ^uint64(0)}, + } + + for i, test := range tests { + // using plainReader to inhibit input limit errors. + s := NewStream(newPlainReader(unhex(test.input)), 0) + kind, len, err := s.Kind() + if err != nil { + t.Errorf("test %d: Kind returned error: %v", i, err) + continue + } + if kind != test.wantKind { + t.Errorf("test %d: kind mismatch: got %d, want %d", i, kind, test.wantKind) + } + if len != test.wantLen { + t.Errorf("test %d: len mismatch: got %d, want %d", i, len, test.wantLen) + } + } +} + +func TestNewListStream(t *testing.T) { + ls := NewListStream(bytes.NewReader(unhex("0101010101")), 3) + if k, size, err := ls.Kind(); k != List || size != 3 || err != nil { + t.Errorf("Kind() returned (%v, %d, %v), expected (List, 3, nil)", k, size, err) + } + if size, err := ls.List(); size != 3 || err != nil { + t.Errorf("List() returned (%d, %v), expected (3, nil)", size, err) + } + for i := 0; i < 3; i++ { + if val, err := ls.Uint(); val != 1 || err != nil { + t.Errorf("Uint() returned (%d, %v), expected (1, nil)", val, err) + } + } + if err := ls.ListEnd(); err != nil { + t.Errorf("ListEnd() returned %v, expected (3, nil)", err) + } +} + +func TestStreamErrors(t *testing.T) { + withoutInputLimit := func(b []byte) *Stream { + return NewStream(newPlainReader(b), 0) + } + withCustomInputLimit := func(limit uint64) func([]byte) *Stream { + return func(b []byte) *Stream { + return NewStream(bytes.NewReader(b), limit) + } + } + + type calls []string + tests := []struct { + string + calls + newStream func([]byte) *Stream // uses bytes.Reader if nil + error error + }{ + {"C0", calls{"Bytes"}, nil, ErrExpectedString}, + {"C0", calls{"Uint"}, nil, ErrExpectedString}, + {"89000000000000000001", calls{"Uint"}, nil, errUintOverflow}, + {"00", calls{"List"}, nil, ErrExpectedList}, + {"80", calls{"List"}, nil, ErrExpectedList}, + {"C0", calls{"List", "Uint"}, nil, EOL}, + {"C8C9010101010101010101", calls{"List", "Kind"}, nil, ErrElemTooLarge}, + {"C3C2010201", calls{"List", "List", "Uint", "Uint", "ListEnd", "Uint"}, nil, EOL}, + {"00", calls{"ListEnd"}, nil, errNotInList}, + {"C401020304", calls{"List", "Uint", "ListEnd"}, nil, errNotAtEOL}, + + // Non-canonical integers (e.g. leading zero bytes). + {"00", calls{"Uint"}, nil, ErrCanonInt}, + {"820002", calls{"Uint"}, nil, ErrCanonInt}, + {"8133", calls{"Uint"}, nil, ErrCanonSize}, + {"817F", calls{"Uint"}, nil, ErrCanonSize}, + {"8180", calls{"Uint"}, nil, nil}, + + // Non-valid boolean + {"02", calls{"Bool"}, nil, errors.New("rlp: invalid boolean value: 2")}, + + // Size tags must use the smallest possible encoding. + // Leading zero bytes in the size tag are also rejected. + {"8100", calls{"Uint"}, nil, ErrCanonSize}, + {"8100", calls{"Bytes"}, nil, ErrCanonSize}, + {"8101", calls{"Bytes"}, nil, ErrCanonSize}, + {"817F", calls{"Bytes"}, nil, ErrCanonSize}, + {"8180", calls{"Bytes"}, nil, nil}, + {"B800", calls{"Kind"}, withoutInputLimit, ErrCanonSize}, + {"B90000", calls{"Kind"}, withoutInputLimit, ErrCanonSize}, + {"B90055", calls{"Kind"}, withoutInputLimit, ErrCanonSize}, + {"BA0002FFFF", calls{"Bytes"}, withoutInputLimit, ErrCanonSize}, + {"F800", calls{"Kind"}, withoutInputLimit, ErrCanonSize}, + {"F90000", calls{"Kind"}, withoutInputLimit, ErrCanonSize}, + {"F90055", calls{"Kind"}, withoutInputLimit, ErrCanonSize}, + {"FA0002FFFF", calls{"List"}, withoutInputLimit, ErrCanonSize}, + + // Expected EOF + {"", calls{"Kind"}, nil, io.EOF}, + {"", calls{"Uint"}, nil, io.EOF}, + {"", calls{"List"}, nil, io.EOF}, + {"8180", calls{"Uint", "Uint"}, nil, io.EOF}, + {"C0", calls{"List", "ListEnd", "List"}, nil, io.EOF}, + + {"", calls{"List"}, withoutInputLimit, io.EOF}, + {"8180", calls{"Uint", "Uint"}, withoutInputLimit, io.EOF}, + {"C0", calls{"List", "ListEnd", "List"}, withoutInputLimit, io.EOF}, + + // Input limit errors. + {"81", calls{"Bytes"}, nil, ErrValueTooLarge}, + {"81", calls{"Uint"}, nil, ErrValueTooLarge}, + {"81", calls{"Raw"}, nil, ErrValueTooLarge}, + {"BFFFFFFFFFFFFFFFFFFF", calls{"Bytes"}, nil, ErrValueTooLarge}, + {"C801", calls{"List"}, nil, ErrValueTooLarge}, + + // Test for list element size check overflow. + {"CD04040404FFFFFFFFFFFFFFFFFF0303", calls{"List", "Uint", "Uint", "Uint", "Uint", "List"}, nil, ErrElemTooLarge}, + + // Test for input limit overflow. Since we are counting the limit + // down toward zero in Stream.remaining, reading too far can overflow + // remaining to a large value, effectively disabling the limit. + {"C40102030401", calls{"Raw", "Uint"}, withCustomInputLimit(5), io.EOF}, + {"C4010203048180", calls{"Raw", "Uint"}, withCustomInputLimit(6), ErrValueTooLarge}, + + // Check that the same calls are fine without a limit. + {"C40102030401", calls{"Raw", "Uint"}, withoutInputLimit, nil}, + {"C4010203048180", calls{"Raw", "Uint"}, withoutInputLimit, nil}, + + // Unexpected EOF. This only happens when there is + // no input limit, so the reader needs to be 'dumbed down'. + {"81", calls{"Bytes"}, withoutInputLimit, io.ErrUnexpectedEOF}, + {"81", calls{"Uint"}, withoutInputLimit, io.ErrUnexpectedEOF}, + {"BFFFFFFFFFFFFFFF", calls{"Bytes"}, withoutInputLimit, io.ErrUnexpectedEOF}, + {"C801", calls{"List", "Uint", "Uint"}, withoutInputLimit, io.ErrUnexpectedEOF}, + + // This test verifies that the input position is advanced + // correctly when calling Bytes for empty strings. Kind can be called + // any number of times in between and doesn't advance. + {"C3808080", calls{ + "List", // enter the list + "Bytes", // past first element + + "Kind", "Kind", "Kind", // this shouldn't advance + + "Bytes", // past second element + + "Kind", "Kind", // can't hurt to try + + "Bytes", // past final element + "Bytes", // this one should fail + }, nil, EOL}, + } + +testfor: + for i, test := range tests { + if test.newStream == nil { + test.newStream = func(b []byte) *Stream { return NewStream(bytes.NewReader(b), 0) } + } + s := test.newStream(unhex(test.string)) + rs := reflect.ValueOf(s) + for j, call := range test.calls { + fval := rs.MethodByName(call) + ret := fval.Call(nil) + err := "" + if lastret := ret[len(ret)-1].Interface(); lastret != nil { + err = lastret.(error).Error() + } + if j == len(test.calls)-1 { + want := "" + if test.error != nil { + want = test.error.Error() + } + if err != want { + t.Log(test) + t.Errorf("test %d: last call (%s) error mismatch\ngot: %s\nwant: %s", + i, call, err, test.error) + } + } else if err != "" { + t.Log(test) + t.Errorf("test %d: call %d (%s) unexpected error: %q", i, j, call, err) + continue testfor + } + } + } +} + +func TestStreamList(t *testing.T) { + s := NewStream(bytes.NewReader(unhex("C80102030405060708")), 0) + + len, err := s.List() + if err != nil { + t.Fatalf("List error: %v", err) + } + if len != 8 { + t.Fatalf("List returned invalid length, got %d, want 8", len) + } + + for i := uint64(1); i <= 8; i++ { + v, err := s.Uint() + if err != nil { + t.Fatalf("Uint error: %v", err) + } + if i != v { + t.Errorf("Uint returned wrong value, got %d, want %d", v, i) + } + } + + if _, err := s.Uint(); err != EOL { + t.Errorf("Uint error mismatch, got %v, want %v", err, EOL) + } + if err = s.ListEnd(); err != nil { + t.Fatalf("ListEnd error: %v", err) + } +} + +func TestStreamRaw(t *testing.T) { + tests := []struct { + input string + output string + }{ + { + "C58401010101", + "8401010101", + }, + { + "F842B84001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101", + "B84001010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101010101", + }, + } + for i, tt := range tests { + s := NewStream(bytes.NewReader(unhex(tt.input)), 0) + s.List() + + want := unhex(tt.output) + raw, err := s.Raw() + if err != nil { + t.Fatal(err) + } + if !bytes.Equal(want, raw) { + t.Errorf("test %d: raw mismatch: got %x, want %x", i, raw, want) + } + } +} + +func TestDecodeErrors(t *testing.T) { + r := bytes.NewReader(nil) + + if err := Decode(r, nil); err != errDecodeIntoNil { + t.Errorf("Decode(r, nil) error mismatch, got %q, want %q", err, errDecodeIntoNil) + } + + var nilptr *struct{} + if err := Decode(r, nilptr); err != errDecodeIntoNil { + t.Errorf("Decode(r, nilptr) error mismatch, got %q, want %q", err, errDecodeIntoNil) + } + + if err := Decode(r, struct{}{}); err != errNoPointer { + t.Errorf("Decode(r, struct{}{}) error mismatch, got %q, want %q", err, errNoPointer) + } + + expectErr := "rlp: type chan bool is not RLP-serializable" + if err := Decode(r, new(chan bool)); err == nil || err.Error() != expectErr { + t.Errorf("Decode(r, new(chan bool)) error mismatch, got %q, want %q", err, expectErr) + } + + if err := Decode(r, new(uint)); err != io.EOF { + t.Errorf("Decode(r, new(int)) error mismatch, got %q, want %q", err, io.EOF) + } +} + +type decodeTest struct { + input string + ptr interface{} + value interface{} + error string +} + +type simplestruct struct { + A uint + B string +} + +type recstruct struct { + I uint + Child *recstruct `rlp:"nil"` +} + +type invalidNilTag struct { + X []byte `rlp:"nil"` +} + +type invalidTail1 struct { + A uint `rlp:"tail"` + B string +} + +type invalidTail2 struct { + A uint + B string `rlp:"tail"` +} + +type tailRaw struct { + A uint + Tail []RawValue `rlp:"tail"` +} + +type tailUint struct { + A uint + Tail []uint `rlp:"tail"` +} + +type tailPrivateFields struct { + A uint + Tail []uint `rlp:"tail"` + x, y bool //lint:ignore U1000 unused fields required for testing purposes. +} + +type nilListUint struct { + X *uint `rlp:"nilList"` +} + +type nilStringSlice struct { + X *[]uint `rlp:"nilString"` +} + +type intField struct { + X int +} + +var ( + veryBigInt = big.NewInt(0).Add( + big.NewInt(0).Lsh(big.NewInt(0xFFFFFFFFFFFFFF), 16), + big.NewInt(0xFFFF), + ) +) + +type hasIgnoredField struct { + A uint + B uint `rlp:"-"` + C uint +} + +var decodeTests = []decodeTest{ + // booleans + {input: "01", ptr: new(bool), value: true}, + {input: "80", ptr: new(bool), value: false}, + {input: "02", ptr: new(bool), error: "rlp: invalid boolean value: 2"}, + + // integers + {input: "05", ptr: new(uint32), value: uint32(5)}, + {input: "80", ptr: new(uint32), value: uint32(0)}, + {input: "820505", ptr: new(uint32), value: uint32(0x0505)}, + {input: "83050505", ptr: new(uint32), value: uint32(0x050505)}, + {input: "8405050505", ptr: new(uint32), value: uint32(0x05050505)}, + {input: "850505050505", ptr: new(uint32), error: "rlp: input string too long for uint32"}, + {input: "C0", ptr: new(uint32), error: "rlp: expected input string or byte for uint32"}, + {input: "00", ptr: new(uint32), error: "rlp: non-canonical integer (leading zero bytes) for uint32"}, + {input: "8105", ptr: new(uint32), error: "rlp: non-canonical size information for uint32"}, + {input: "820004", ptr: new(uint32), error: "rlp: non-canonical integer (leading zero bytes) for uint32"}, + {input: "B8020004", ptr: new(uint32), error: "rlp: non-canonical size information for uint32"}, + + // slices + {input: "C0", ptr: new([]uint), value: []uint{}}, + {input: "C80102030405060708", ptr: new([]uint), value: []uint{1, 2, 3, 4, 5, 6, 7, 8}}, + {input: "F8020004", ptr: new([]uint), error: "rlp: non-canonical size information for []uint"}, + + // arrays + {input: "C50102030405", ptr: new([5]uint), value: [5]uint{1, 2, 3, 4, 5}}, + {input: "C0", ptr: new([5]uint), error: "rlp: input list has too few elements for [5]uint"}, + {input: "C102", ptr: new([5]uint), error: "rlp: input list has too few elements for [5]uint"}, + {input: "C6010203040506", ptr: new([5]uint), error: "rlp: input list has too many elements for [5]uint"}, + {input: "F8020004", ptr: new([5]uint), error: "rlp: non-canonical size information for [5]uint"}, + + // zero sized arrays + {input: "C0", ptr: new([0]uint), value: [0]uint{}}, + {input: "C101", ptr: new([0]uint), error: "rlp: input list has too many elements for [0]uint"}, + + // byte slices + {input: "01", ptr: new([]byte), value: []byte{1}}, + {input: "80", ptr: new([]byte), value: []byte{}}, + {input: "8D6162636465666768696A6B6C6D", ptr: new([]byte), value: []byte("abcdefghijklm")}, + {input: "C0", ptr: new([]byte), error: "rlp: expected input string or byte for []uint8"}, + {input: "8105", ptr: new([]byte), error: "rlp: non-canonical size information for []uint8"}, + + // byte arrays + {input: "02", ptr: new([1]byte), value: [1]byte{2}}, + {input: "8180", ptr: new([1]byte), value: [1]byte{128}}, + {input: "850102030405", ptr: new([5]byte), value: [5]byte{1, 2, 3, 4, 5}}, + + // byte array errors + {input: "02", ptr: new([5]byte), error: "rlp: input string too short for [5]uint8"}, + {input: "80", ptr: new([5]byte), error: "rlp: input string too short for [5]uint8"}, + {input: "820000", ptr: new([5]byte), error: "rlp: input string too short for [5]uint8"}, + {input: "C0", ptr: new([5]byte), error: "rlp: expected input string or byte for [5]uint8"}, + {input: "C3010203", ptr: new([5]byte), error: "rlp: expected input string or byte for [5]uint8"}, + {input: "86010203040506", ptr: new([5]byte), error: "rlp: input string too long for [5]uint8"}, + {input: "8105", ptr: new([1]byte), error: "rlp: non-canonical size information for [1]uint8"}, + {input: "817F", ptr: new([1]byte), error: "rlp: non-canonical size information for [1]uint8"}, + + // zero sized byte arrays + {input: "80", ptr: new([0]byte), value: [0]byte{}}, + {input: "01", ptr: new([0]byte), error: "rlp: input string too long for [0]uint8"}, + {input: "8101", ptr: new([0]byte), error: "rlp: input string too long for [0]uint8"}, + + // strings + {input: "00", ptr: new(string), value: "\000"}, + {input: "8D6162636465666768696A6B6C6D", ptr: new(string), value: "abcdefghijklm"}, + {input: "C0", ptr: new(string), error: "rlp: expected input string or byte for string"}, + + // big ints + {input: "01", ptr: new(*big.Int), value: big.NewInt(1)}, + {input: "89FFFFFFFFFFFFFFFFFF", ptr: new(*big.Int), value: veryBigInt}, + {input: "10", ptr: new(big.Int), value: *big.NewInt(16)}, // non-pointer also works + {input: "C0", ptr: new(*big.Int), error: "rlp: expected input string or byte for *big.Int"}, + {input: "820001", ptr: new(big.Int), error: "rlp: non-canonical integer (leading zero bytes) for *big.Int"}, + {input: "8105", ptr: new(big.Int), error: "rlp: non-canonical size information for *big.Int"}, + + // structs + { + input: "C50583343434", + ptr: new(simplestruct), + value: simplestruct{5, "444"}, + }, + { + input: "C601C402C203C0", + ptr: new(recstruct), + value: recstruct{1, &recstruct{2, &recstruct{3, nil}}}, + }, + + // struct errors + { + input: "C0", + ptr: new(simplestruct), + error: "rlp: too few elements for rlp.simplestruct", + }, + { + input: "C105", + ptr: new(simplestruct), + error: "rlp: too few elements for rlp.simplestruct", + }, + { + input: "C7C50583343434C0", + ptr: new([]*simplestruct), + error: "rlp: too few elements for rlp.simplestruct, decoding into ([]*rlp.simplestruct)[1]", + }, + { + input: "83222222", + ptr: new(simplestruct), + error: "rlp: expected input list for rlp.simplestruct", + }, + { + input: "C3010101", + ptr: new(simplestruct), + error: "rlp: input list has too many elements for rlp.simplestruct", + }, + { + input: "C501C3C00000", + ptr: new(recstruct), + error: "rlp: expected input string or byte for uint, decoding into (rlp.recstruct).Child.I", + }, + { + input: "C103", + ptr: new(intField), + error: "rlp: type int is not RLP-serializable (struct field rlp.intField.X)", + }, + { + input: "C50102C20102", + ptr: new(tailUint), + error: "rlp: expected input string or byte for uint, decoding into (rlp.tailUint).Tail[1]", + }, + { + input: "C0", + ptr: new(invalidNilTag), + error: `rlp: invalid struct tag "nil" for rlp.invalidNilTag.X (field is not a pointer)`, + }, + + // struct tag "tail" + { + input: "C3010203", + ptr: new(tailRaw), + value: tailRaw{A: 1, Tail: []RawValue{unhex("02"), unhex("03")}}, + }, + { + input: "C20102", + ptr: new(tailRaw), + value: tailRaw{A: 1, Tail: []RawValue{unhex("02")}}, + }, + { + input: "C101", + ptr: new(tailRaw), + value: tailRaw{A: 1, Tail: []RawValue{}}, + }, + { + input: "C3010203", + ptr: new(tailPrivateFields), + value: tailPrivateFields{A: 1, Tail: []uint{2, 3}}, + }, + { + input: "C0", + ptr: new(invalidTail1), + error: `rlp: invalid struct tag "tail" for rlp.invalidTail1.A (must be on last field)`, + }, + { + input: "C0", + ptr: new(invalidTail2), + error: `rlp: invalid struct tag "tail" for rlp.invalidTail2.B (field type is not slice)`, + }, + + // struct tag "-" + { + input: "C20102", + ptr: new(hasIgnoredField), + value: hasIgnoredField{A: 1, C: 2}, + }, + + // struct tag "nilList" + { + input: "C180", + ptr: new(nilListUint), + error: "rlp: wrong kind of empty value (got String, want List) for *uint, decoding into (rlp.nilListUint).X", + }, + { + input: "C1C0", + ptr: new(nilListUint), + value: nilListUint{}, + }, + { + input: "C103", + ptr: new(nilListUint), + value: func() interface{} { + v := uint(3) + return nilListUint{X: &v} + }(), + }, + + // struct tag "nilString" + { + input: "C1C0", + ptr: new(nilStringSlice), + error: "rlp: wrong kind of empty value (got List, want String) for *[]uint, decoding into (rlp.nilStringSlice).X", + }, + { + input: "C180", + ptr: new(nilStringSlice), + value: nilStringSlice{}, + }, + { + input: "C2C103", + ptr: new(nilStringSlice), + value: nilStringSlice{X: &[]uint{3}}, + }, + + // RawValue + {input: "01", ptr: new(RawValue), value: RawValue(unhex("01"))}, + {input: "82FFFF", ptr: new(RawValue), value: RawValue(unhex("82FFFF"))}, + {input: "C20102", ptr: new([]RawValue), value: []RawValue{unhex("01"), unhex("02")}}, + + // pointers + {input: "00", ptr: new(*[]byte), value: &[]byte{0}}, + {input: "80", ptr: new(*uint), value: uintp(0)}, + {input: "C0", ptr: new(*uint), error: "rlp: expected input string or byte for uint"}, + {input: "07", ptr: new(*uint), value: uintp(7)}, + {input: "817F", ptr: new(*uint), error: "rlp: non-canonical size information for uint"}, + {input: "8180", ptr: new(*uint), value: uintp(0x80)}, + {input: "C109", ptr: new(*[]uint), value: &[]uint{9}}, + {input: "C58403030303", ptr: new(*[][]byte), value: &[][]byte{{3, 3, 3, 3}}}, + + // check that input position is advanced also for empty values. + {input: "C3808005", ptr: new([]*uint), value: []*uint{uintp(0), uintp(0), uintp(5)}}, + + // interface{} + {input: "00", ptr: new(interface{}), value: []byte{0}}, + {input: "01", ptr: new(interface{}), value: []byte{1}}, + {input: "80", ptr: new(interface{}), value: []byte{}}, + {input: "850505050505", ptr: new(interface{}), value: []byte{5, 5, 5, 5, 5}}, + {input: "C0", ptr: new(interface{}), value: []interface{}{}}, + {input: "C50183040404", ptr: new(interface{}), value: []interface{}{[]byte{1}, []byte{4, 4, 4}}}, + { + input: "C3010203", + ptr: new([]io.Reader), + error: "rlp: type io.Reader is not RLP-serializable", + }, + + // fuzzer crashes + { + input: "c330f9c030f93030ce3030303030303030bd303030303030", + ptr: new(interface{}), + error: "rlp: element is larger than containing list", + }, +} + +func uintp(i uint) *uint { return &i } + +func runTests(t *testing.T, decode func([]byte, interface{}) error) { + for i, test := range decodeTests { + input, err := hex.DecodeString(test.input) + if err != nil { + t.Errorf("test %d: invalid hex input %q", i, test.input) + continue + } + err = decode(input, test.ptr) + if err != nil && test.error == "" { + t.Errorf("test %d: unexpected Decode error: %v\ndecoding into %T\ninput %q", + i, err, test.ptr, test.input) + continue + } + if test.error != "" && fmt.Sprint(err) != test.error { + t.Errorf("test %d: Decode error mismatch\ngot %v\nwant %v\ndecoding into %T\ninput %q", + i, err, test.error, test.ptr, test.input) + continue + } + deref := reflect.ValueOf(test.ptr).Elem().Interface() + if err == nil && !reflect.DeepEqual(deref, test.value) { + t.Errorf("test %d: value mismatch\ngot %#v\nwant %#v\ndecoding into %T\ninput %q", + i, deref, test.value, test.ptr, test.input) + } + } +} + +func TestDecodeWithByteReader(t *testing.T) { + runTests(t, func(input []byte, into interface{}) error { + return Decode(bytes.NewReader(input), into) + }) +} + +// plainReader reads from a byte slice but does not +// implement ReadByte. It is also not recognized by the +// size validation. This is useful to test how the decoder +// behaves on a non-buffered input stream. +type plainReader []byte + +func newPlainReader(b []byte) io.Reader { + return (*plainReader)(&b) +} + +func (r *plainReader) Read(buf []byte) (n int, err error) { + if len(*r) == 0 { + return 0, io.EOF + } + n = copy(buf, *r) + *r = (*r)[n:] + return n, nil +} + +func TestDecodeWithNonByteReader(t *testing.T) { + runTests(t, func(input []byte, into interface{}) error { + return Decode(newPlainReader(input), into) + }) +} + +func TestDecodeStreamReset(t *testing.T) { + s := NewStream(nil, 0) + runTests(t, func(input []byte, into interface{}) error { + s.Reset(bytes.NewReader(input), 0) + return s.Decode(into) + }) +} + +type testDecoder struct{ called bool } + +func (t *testDecoder) DecodeRLP(s *Stream) error { + if _, err := s.Uint(); err != nil { + return err + } + t.called = true + return nil +} + +func TestDecodeDecoder(t *testing.T) { + var s struct { + T1 testDecoder + T2 *testDecoder + T3 **testDecoder + } + if err := Decode(bytes.NewReader(unhex("C3010203")), &s); err != nil { + t.Fatalf("Decode error: %v", err) + } + + if !s.T1.called { + t.Errorf("DecodeRLP was not called for (non-pointer) testDecoder") + } + + if s.T2 == nil { + t.Errorf("*testDecoder has not been allocated") + } else if !s.T2.called { + t.Errorf("DecodeRLP was not called for *testDecoder") + } + + if s.T3 == nil || *s.T3 == nil { + t.Errorf("**testDecoder has not been allocated") + } else if !(*s.T3).called { + t.Errorf("DecodeRLP was not called for **testDecoder") + } +} + +func TestDecodeDecoderNilPointer(t *testing.T) { + var s struct { + T1 *testDecoder `rlp:"nil"` + T2 *testDecoder + } + if err := Decode(bytes.NewReader(unhex("C2C002")), &s); err != nil { + t.Fatalf("Decode error: %v", err) + } + if s.T1 != nil { + t.Errorf("decoder T1 allocated for empty input (called: %v)", s.T1.called) + } + if s.T2 == nil || !s.T2.called { + t.Errorf("decoder T2 not allocated/called") + } +} + +type byteDecoder byte + +func (bd *byteDecoder) DecodeRLP(s *Stream) error { + _, err := s.Uint() + *bd = 255 + return err +} + +func (bd byteDecoder) called() bool { + return bd == 255 +} + +// This test verifies that the byte slice/byte array logic +// does not kick in for element types implementing Decoder. +func TestDecoderInByteSlice(t *testing.T) { + var slice []byteDecoder + if err := Decode(bytes.NewReader(unhex("C101")), &slice); err != nil { + t.Errorf("unexpected Decode error %v", err) + } else if !slice[0].called() { + t.Errorf("DecodeRLP not called for slice element") + } + + var array [1]byteDecoder + if err := Decode(bytes.NewReader(unhex("C101")), &array); err != nil { + t.Errorf("unexpected Decode error %v", err) + } else if !array[0].called() { + t.Errorf("DecodeRLP not called for array element") + } +} + +type unencodableDecoder func() + +func (f *unencodableDecoder) DecodeRLP(s *Stream) error { + if _, err := s.List(); err != nil { + return err + } + if err := s.ListEnd(); err != nil { + return err + } + *f = func() {} + return nil +} + +func TestDecoderFunc(t *testing.T) { + var x func() + if err := DecodeBytes([]byte{0xC0}, (*unencodableDecoder)(&x)); err != nil { + t.Fatal(err) + } + x() +} + +func ExampleDecode() { + input, _ := hex.DecodeString("C90A1486666F6F626172") + + type example struct { + A, B uint + String string + } + + var s example + err := Decode(bytes.NewReader(input), &s) + if err != nil { + fmt.Printf("Error: %v\n", err) + } else { + fmt.Printf("Decoded value: %#v\n", s) + } + // Output: + // Decoded value: rlp.example{A:0xa, B:0x14, String:"foobar"} +} + +func ExampleDecode_structTagNil() { + // In this example, we'll use the "nil" struct tag to change + // how a pointer-typed field is decoded. The input contains an RLP + // list of one element, an empty string. + input := []byte{0xC1, 0x80} + + // This type uses the normal rules. + // The empty input string is decoded as a pointer to an empty Go string. + var normalRules struct { + String *string + } + Decode(bytes.NewReader(input), &normalRules) + fmt.Printf("normal: String = %q\n", *normalRules.String) + + // This type uses the struct tag. + // The empty input string is decoded as a nil pointer. + var withEmptyOK struct { + String *string `rlp:"nil"` + } + Decode(bytes.NewReader(input), &withEmptyOK) + fmt.Printf("with nil tag: String = %v\n", withEmptyOK.String) + + // Output: + // normal: String = "" + // with nil tag: String = +} + +func ExampleStream() { + input, _ := hex.DecodeString("C90A1486666F6F626172") + s := NewStream(bytes.NewReader(input), 0) + + // Check what kind of value lies ahead + kind, size, _ := s.Kind() + fmt.Printf("Kind: %v size:%d\n", kind, size) + + // Enter the list + if _, err := s.List(); err != nil { + fmt.Printf("List error: %v\n", err) + return + } + + // Decode elements + fmt.Println(s.Uint()) + fmt.Println(s.Uint()) + fmt.Println(s.Bytes()) + + // Acknowledge end of list + if err := s.ListEnd(); err != nil { + fmt.Printf("ListEnd error: %v\n", err) + } + // Output: + // Kind: List size:9 + // 10 + // 20 + // [102 111 111 98 97 114] +} + +func BenchmarkDecode(b *testing.B) { + enc := encodeTestSlice(90000) + b.SetBytes(int64(len(enc))) + b.ReportAllocs() + b.ResetTimer() + + for i := 0; i < b.N; i++ { + var s []uint + r := bytes.NewReader(enc) + if err := Decode(r, &s); err != nil { + b.Fatalf("Decode error: %v", err) + } + } +} + +func BenchmarkDecodeIntSliceReuse(b *testing.B) { + enc := encodeTestSlice(100000) + b.SetBytes(int64(len(enc))) + b.ReportAllocs() + b.ResetTimer() + + var s []uint + for i := 0; i < b.N; i++ { + r := bytes.NewReader(enc) + if err := Decode(r, &s); err != nil { + b.Fatalf("Decode error: %v", err) + } + } +} + +func encodeTestSlice(n uint) []byte { + s := make([]uint, n) + for i := uint(0); i < n; i++ { + s[i] = i + } + b, err := EncodeToBytes(s) + if err != nil { + panic(fmt.Sprintf("encode error: %v", err)) + } + return b +} + +func unhex(str string) []byte { + b, err := hex.DecodeString(strings.Replace(str, " ", "", -1)) + if err != nil { + panic(fmt.Sprintf("invalid hex string: %q", str)) + } + return b +} diff --git a/common/encode/rlp/doc.go b/common/encode/rlp/doc.go new file mode 100644 index 0000000..7e6ee85 --- /dev/null +++ b/common/encode/rlp/doc.go @@ -0,0 +1,130 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +/* +Package rlp implements the RLP serialization format. + +The purpose of RLP (Recursive Linear Prefix) is to encode arbitrarily nested arrays of +binary data, and RLP is the main encoding method used to serialize objects in Ethereum. +The only purpose of RLP is to encode structure; encoding specific atomic data types (eg. +strings, ints, floats) is left up to higher-order protocols. In Ethereum integers must be +represented in big endian binary form with no leading zeroes (thus making the integer +value zero equivalent to the empty string). + +RLP values are distinguished by a type tag. The type tag precedes the value in the input +stream and defines the size and kind of the bytes that follow. + + +Encoding Rules + +Package rlp uses reflection and encodes RLP based on the Go type of the value. + +If the type implements the Encoder interface, Encode calls EncodeRLP. It does not +call EncodeRLP on nil pointer values. + +To encode a pointer, the value being pointed to is encoded. A nil pointer to a struct +type, slice or array always encodes as an empty RLP list unless the slice or array has +elememt type byte. A nil pointer to any other value encodes as the empty string. + +Struct values are encoded as an RLP list of all their encoded public fields. Recursive +struct types are supported. + +To encode slices and arrays, the elements are encoded as an RLP list of the value's +elements. Note that arrays and slices with element type uint8 or byte are always encoded +as an RLP string. + +A Go string is encoded as an RLP string. + +An unsigned integer value is encoded as an RLP string. Zero always encodes as an empty RLP +string. big.Int values are treated as integers. Signed integers (int, int8, int16, ...) +are not supported and will return an error when encoding. + +Boolean values are encoded as the unsigned integers zero (false) and one (true). + +An interface value encodes as the value contained in the interface. + +Floating point numbers, maps, channels and functions are not supported. + + +Decoding Rules + +Decoding uses the following type-dependent rules: + +If the type implements the Decoder interface, DecodeRLP is called. + +To decode into a pointer, the value will be decoded as the element type of the pointer. If +the pointer is nil, a new value of the pointer's element type is allocated. If the pointer +is non-nil, the existing value will be reused. Note that package rlp never leaves a +pointer-type struct field as nil unless one of the "nil" struct tags is present. + +To decode into a struct, decoding expects the input to be an RLP list. The decoded +elements of the list are assigned to each public field in the order given by the struct's +definition. The input list must contain an element for each decoded field. Decoding +returns an error if there are too few or too many elements for the struct. + +To decode into a slice, the input must be a list and the resulting slice will contain the +input elements in order. For byte slices, the input must be an RLP string. Array types +decode similarly, with the additional restriction that the number of input elements (or +bytes) must match the array's defined length. + +To decode into a Go string, the input must be an RLP string. The input bytes are taken +as-is and will not necessarily be valid UTF-8. + +To decode into an unsigned integer type, the input must also be an RLP string. The bytes +are interpreted as a big endian representation of the integer. If the RLP string is larger +than the bit size of the type, decoding will return an error. Decode also supports +*big.Int. There is no size limit for big integers. + +To decode into a boolean, the input must contain an unsigned integer of value zero (false) +or one (true). + +To decode into an interface value, one of these types is stored in the value: + + []interface{}, for RLP lists + []byte, for RLP strings + +Non-empty interface types are not supported when decoding. +Signed integers, floating point numbers, maps, channels and functions cannot be decoded into. + + +Struct Tags + +Package rlp honours certain struct tags: "-", "tail", "nil", "nilList" and "nilString". + +The "-" tag ignores fields. + +The "tail" tag, which may only be used on the last exported struct field, allows slurping +up any excess list elements into a slice. See examples for more details. + +The "nil" tag applies to pointer-typed fields and changes the decoding rules for the field +such that input values of size zero decode as a nil pointer. This tag can be useful when +decoding recursive types. + + type StructWithOptionalFoo struct { + Foo *[20]byte `rlp:"nil"` + } + +RLP supports two kinds of empty values: empty lists and empty strings. When using the +"nil" tag, the kind of empty value allowed for a type is chosen automatically. A struct +field whose Go type is a pointer to an unsigned integer, string, boolean or byte +array/slice expects an empty RLP string. Any other pointer field type encodes/decodes as +an empty RLP list. + +The choice of null value can be made explicit with the "nilList" and "nilString" struct +tags. Using these tags encodes/decodes a Go nil pointer value as the kind of empty +RLP value defined by the tag. +*/ +package rlp diff --git a/common/encode/rlp/encode.go b/common/encode/rlp/encode.go new file mode 100644 index 0000000..9c9e8d7 --- /dev/null +++ b/common/encode/rlp/encode.go @@ -0,0 +1,612 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "fmt" + "io" + "math/big" + "reflect" + "sync" +) + +var ( + // Common encoded values. + // These are useful when implementing EncodeRLP. + EmptyString = []byte{0x80} + EmptyList = []byte{0xC0} +) + +// Encoder is implemented by types that require custom +// encoding rules or want to encode private fields. +type Encoder interface { + // EncodeRLP should write the RLP encoding of its receiver to w. + // If the implementation is a pointer method, it may also be + // called for nil pointers. + // + // Implementations should generate valid RLP. The data written is + // not verified at the moment, but a future version might. It is + // recommended to write only a single value but writing multiple + // values or no value at all is also permitted. + EncodeRLP(io.Writer) error +} + +// Encode writes the RLP encoding of val to w. Note that Encode may +// perform many small writes in some cases. Consider making w +// buffered. +// +// Please see package-level documentation of encoding rules. +func Encode(w io.Writer, val interface{}) error { + if outer, ok := w.(*encbuf); ok { + // Encode was called by some type's EncodeRLP. + // Avoid copying by writing to the outer encbuf directly. + return outer.encode(val) + } + eb := encbufPool.Get().(*encbuf) + defer encbufPool.Put(eb) + eb.reset() + if err := eb.encode(val); err != nil { + return err + } + return eb.toWriter(w) +} + +// EncodeToBytes returns the RLP encoding of val. +// Please see package-level documentation for the encoding rules. +func EncodeToBytes(val interface{}) ([]byte, error) { + eb := encbufPool.Get().(*encbuf) + defer encbufPool.Put(eb) + eb.reset() + if err := eb.encode(val); err != nil { + return nil, err + } + return eb.toBytes(), nil +} + +// EncodeToReader returns a reader from which the RLP encoding of val +// can be read. The returned size is the total size of the encoded +// data. +// +// Please see the documentation of Encode for the encoding rules. +func EncodeToReader(val interface{}) (size int, r io.Reader, err error) { + eb := encbufPool.Get().(*encbuf) + eb.reset() + if err := eb.encode(val); err != nil { + return 0, nil, err + } + return eb.size(), &encReader{buf: eb}, nil +} + +type encbuf struct { + str []byte // string data, contains everything except list headers + lheads []*listhead // all list headers + lhsize int // sum of sizes of all encoded list headers + sizebuf []byte // 9-byte auxiliary buffer for uint encoding +} + +type listhead struct { + offset int // index of this header in string data + size int // total size of encoded data (including list headers) +} + +// encode writes head to the given buffer, which must be at least +// 9 bytes long. It returns the encoded bytes. +func (head *listhead) encode(buf []byte) []byte { + return buf[:puthead(buf, 0xC0, 0xF7, uint64(head.size))] +} + +// headsize returns the size of a list or string header +// for a value of the given size. +func headsize(size uint64) int { + if size < 56 { + return 1 + } + return 1 + intsize(size) +} + +// puthead writes a list or string header to buf. +// buf must be at least 9 bytes long. +func puthead(buf []byte, smalltag, largetag byte, size uint64) int { + if size < 56 { + buf[0] = smalltag + byte(size) + return 1 + } + sizesize := putint(buf[1:], size) + buf[0] = largetag + byte(sizesize) + return sizesize + 1 +} + +// encbufs are pooled. +var encbufPool = sync.Pool{ + New: func() interface{} { return &encbuf{sizebuf: make([]byte, 9)} }, +} + +func (w *encbuf) reset() { + w.lhsize = 0 + if w.str != nil { + w.str = w.str[:0] + } + if w.lheads != nil { + w.lheads = w.lheads[:0] + } +} + +// encbuf implements io.Writer so it can be passed it into EncodeRLP. +func (w *encbuf) Write(b []byte) (int, error) { + w.str = append(w.str, b...) + return len(b), nil +} + +func (w *encbuf) encode(val interface{}) error { + rval := reflect.ValueOf(val) + writer, err := cachedWriter(rval.Type()) + if err != nil { + return err + } + return writer(rval, w) +} + +func (w *encbuf) encodeStringHeader(size int) { + if size < 56 { + w.str = append(w.str, 0x80+byte(size)) + } else { + // TODO: encode to w.str directly + sizesize := putint(w.sizebuf[1:], uint64(size)) + w.sizebuf[0] = 0xB7 + byte(sizesize) + w.str = append(w.str, w.sizebuf[:sizesize+1]...) + } +} + +func (w *encbuf) encodeString(b []byte) { + if len(b) == 1 && b[0] <= 0x7F { + // fits single byte, no string header + w.str = append(w.str, b[0]) + } else { + w.encodeStringHeader(len(b)) + w.str = append(w.str, b...) + } +} + +func (w *encbuf) list() *listhead { + lh := &listhead{offset: len(w.str), size: w.lhsize} + w.lheads = append(w.lheads, lh) + return lh +} + +func (w *encbuf) listEnd(lh *listhead) { + lh.size = w.size() - lh.offset - lh.size + if lh.size < 56 { + w.lhsize++ // length encoded into kind tag + } else { + w.lhsize += 1 + intsize(uint64(lh.size)) + } +} + +func (w *encbuf) size() int { + return len(w.str) + w.lhsize +} + +func (w *encbuf) toBytes() []byte { + out := make([]byte, w.size()) + strpos := 0 + pos := 0 + for _, head := range w.lheads { + // write string data before header + n := copy(out[pos:], w.str[strpos:head.offset]) + pos += n + strpos += n + // write the header + enc := head.encode(out[pos:]) + pos += len(enc) + } + // copy string data after the last list header + copy(out[pos:], w.str[strpos:]) + return out +} + +func (w *encbuf) toWriter(out io.Writer) (err error) { + strpos := 0 + for _, head := range w.lheads { + // write string data before header + if head.offset-strpos > 0 { + n, err := out.Write(w.str[strpos:head.offset]) + strpos += n + if err != nil { + return err + } + } + // write the header + enc := head.encode(w.sizebuf) + if _, err = out.Write(enc); err != nil { + return err + } + } + if strpos < len(w.str) { + // write string data after the last list header + _, err = out.Write(w.str[strpos:]) + } + return err +} + +// encReader is the io.Reader returned by EncodeToReader. +// It releases its encbuf at EOF. +type encReader struct { + buf *encbuf // the buffer we're reading from. this is nil when we're at EOF. + lhpos int // index of list header that we're reading + strpos int // current position in string buffer + piece []byte // next piece to be read +} + +func (r *encReader) Read(b []byte) (n int, err error) { + for { + if r.piece = r.next(); r.piece == nil { + // Put the encode buffer back into the pool at EOF when it + // is first encountered. Subsequent calls still return EOF + // as the error but the buffer is no longer valid. + if r.buf != nil { + encbufPool.Put(r.buf) + r.buf = nil + } + return n, io.EOF + } + nn := copy(b[n:], r.piece) + n += nn + if nn < len(r.piece) { + // piece didn't fit, see you next time. + r.piece = r.piece[nn:] + return n, nil + } + r.piece = nil + } +} + +// next returns the next piece of data to be read. +// it returns nil at EOF. +func (r *encReader) next() []byte { + switch { + case r.buf == nil: + return nil + + case r.piece != nil: + // There is still data available for reading. + return r.piece + + case r.lhpos < len(r.buf.lheads): + // We're before the last list header. + head := r.buf.lheads[r.lhpos] + sizebefore := head.offset - r.strpos + if sizebefore > 0 { + // String data before header. + p := r.buf.str[r.strpos:head.offset] + r.strpos += sizebefore + return p + } + r.lhpos++ + return head.encode(r.buf.sizebuf) + + case r.strpos < len(r.buf.str): + // String data at the end, after all list headers. + p := r.buf.str[r.strpos:] + r.strpos = len(r.buf.str) + return p + + default: + return nil + } +} + +var ( + encoderInterface = reflect.TypeOf(new(Encoder)).Elem() + big0 = big.NewInt(0) +) + +// makeWriter creates a writer function for the given type. +func makeWriter(typ reflect.Type, ts tags) (writer, error) { + kind := typ.Kind() + switch { + case typ == rawValueType: + return writeRawValue, nil + case typ.AssignableTo(reflect.PtrTo(bigInt)): + return writeBigIntPtr, nil + case typ.AssignableTo(bigInt): + return writeBigIntNoPtr, nil + case kind == reflect.Ptr: + return makePtrWriter(typ, ts) + case reflect.PtrTo(typ).Implements(encoderInterface): + return makeEncoderWriter(typ), nil + case isUint(kind): + return writeUint, nil + case kind == reflect.Bool: + return writeBool, nil + case kind == reflect.String: + return writeString, nil + case kind == reflect.Slice && isByte(typ.Elem()): + return writeBytes, nil + case kind == reflect.Array && isByte(typ.Elem()): + return writeByteArray, nil + case kind == reflect.Slice || kind == reflect.Array: + return makeSliceWriter(typ, ts) + case kind == reflect.Struct: + return makeStructWriter(typ) + case kind == reflect.Interface: + return writeInterface, nil + default: + return nil, fmt.Errorf("rlp: type %v is not RLP-serializable", typ) + } +} + +func isByte(typ reflect.Type) bool { + return typ.Kind() == reflect.Uint8 && !typ.Implements(encoderInterface) +} + +func writeRawValue(val reflect.Value, w *encbuf) error { + w.str = append(w.str, val.Bytes()...) + return nil +} + +func writeUint(val reflect.Value, w *encbuf) error { + i := val.Uint() + if i == 0 { + w.str = append(w.str, 0x80) + } else if i < 128 { + // fits single byte + w.str = append(w.str, byte(i)) + } else { + // TODO: encode int to w.str directly + s := putint(w.sizebuf[1:], i) + w.sizebuf[0] = 0x80 + byte(s) + w.str = append(w.str, w.sizebuf[:s+1]...) + } + return nil +} + +func writeBool(val reflect.Value, w *encbuf) error { + if val.Bool() { + w.str = append(w.str, 0x01) + } else { + w.str = append(w.str, 0x80) + } + return nil +} + +func writeBigIntPtr(val reflect.Value, w *encbuf) error { + ptr := val.Interface().(*big.Int) + if ptr == nil { + w.str = append(w.str, 0x80) + return nil + } + return writeBigInt(ptr, w) +} + +func writeBigIntNoPtr(val reflect.Value, w *encbuf) error { + i := val.Interface().(big.Int) + return writeBigInt(&i, w) +} + +func writeBigInt(i *big.Int, w *encbuf) error { + if cmp := i.Cmp(big0); cmp == -1 { + return fmt.Errorf("rlp: cannot encode negative *big.Int") + } else if cmp == 0 { + w.str = append(w.str, 0x80) + } else { + w.encodeString(i.Bytes()) + } + return nil +} + +func writeBytes(val reflect.Value, w *encbuf) error { + w.encodeString(val.Bytes()) + return nil +} + +func writeByteArray(val reflect.Value, w *encbuf) error { + if !val.CanAddr() { + // Slice requires the value to be addressable. + // Make it addressable by copying. + copy := reflect.New(val.Type()).Elem() + copy.Set(val) + val = copy + } + size := val.Len() + slice := val.Slice(0, size).Bytes() + w.encodeString(slice) + return nil +} + +func writeString(val reflect.Value, w *encbuf) error { + s := val.String() + if len(s) == 1 && s[0] <= 0x7f { + // fits single byte, no string header + w.str = append(w.str, s[0]) + } else { + w.encodeStringHeader(len(s)) + w.str = append(w.str, s...) + } + return nil +} + +func writeInterface(val reflect.Value, w *encbuf) error { + if val.IsNil() { + // Write empty list. This is consistent with the previous RLP + // encoder that we had and should therefore avoid any + // problems. + w.str = append(w.str, 0xC0) + return nil + } + eval := val.Elem() + writer, err := cachedWriter(eval.Type()) + if err != nil { + return err + } + return writer(eval, w) +} + +func makeSliceWriter(typ reflect.Type, ts tags) (writer, error) { + etypeinfo := cachedTypeInfo1(typ.Elem(), tags{}) + if etypeinfo.writerErr != nil { + return nil, etypeinfo.writerErr + } + writer := func(val reflect.Value, w *encbuf) error { + if !ts.tail { + defer w.listEnd(w.list()) + } + vlen := val.Len() + for i := 0; i < vlen; i++ { + if err := etypeinfo.writer(val.Index(i), w); err != nil { + return err + } + } + return nil + } + return writer, nil +} + +func makeStructWriter(typ reflect.Type) (writer, error) { + fields, err := structFields(typ) + if err != nil { + return nil, err + } + for _, f := range fields { + if f.info.writerErr != nil { + return nil, structFieldError{typ, f.index, f.info.writerErr} + } + } + writer := func(val reflect.Value, w *encbuf) error { + lh := w.list() + for _, f := range fields { + if err := f.info.writer(val.Field(f.index), w); err != nil { + return err + } + } + w.listEnd(lh) + return nil + } + return writer, nil +} + +func makePtrWriter(typ reflect.Type, ts tags) (writer, error) { + etypeinfo := cachedTypeInfo1(typ.Elem(), tags{}) + if etypeinfo.writerErr != nil { + return nil, etypeinfo.writerErr + } + // Determine how to encode nil pointers. + var nilKind Kind + if ts.nilOK { + nilKind = ts.nilKind // use struct tag if provided + } else { + nilKind = defaultNilKind(typ.Elem()) + } + + writer := func(val reflect.Value, w *encbuf) error { + if val.IsNil() { + if nilKind == String { + w.str = append(w.str, 0x80) + } else { + w.listEnd(w.list()) + } + return nil + } + return etypeinfo.writer(val.Elem(), w) + } + return writer, nil +} + +func makeEncoderWriter(typ reflect.Type) writer { + if typ.Implements(encoderInterface) { + return func(val reflect.Value, w *encbuf) error { + return val.Interface().(Encoder).EncodeRLP(w) + } + } + w := func(val reflect.Value, w *encbuf) error { + if !val.CanAddr() { + // package json simply doesn't call MarshalJSON for this case, but encodes the + // value as if it didn't implement the interface. We don't want to handle it that + // way. + return fmt.Errorf("rlp: unadressable value of type %v, EncodeRLP is pointer method", val.Type()) + } + return val.Addr().Interface().(Encoder).EncodeRLP(w) + } + return w +} + +// putint writes i to the beginning of b in big endian byte +// order, using the least number of bytes needed to represent i. +func putint(b []byte, i uint64) (size int) { + switch { + case i < (1 << 8): + b[0] = byte(i) + return 1 + case i < (1 << 16): + b[0] = byte(i >> 8) + b[1] = byte(i) + return 2 + case i < (1 << 24): + b[0] = byte(i >> 16) + b[1] = byte(i >> 8) + b[2] = byte(i) + return 3 + case i < (1 << 32): + b[0] = byte(i >> 24) + b[1] = byte(i >> 16) + b[2] = byte(i >> 8) + b[3] = byte(i) + return 4 + case i < (1 << 40): + b[0] = byte(i >> 32) + b[1] = byte(i >> 24) + b[2] = byte(i >> 16) + b[3] = byte(i >> 8) + b[4] = byte(i) + return 5 + case i < (1 << 48): + b[0] = byte(i >> 40) + b[1] = byte(i >> 32) + b[2] = byte(i >> 24) + b[3] = byte(i >> 16) + b[4] = byte(i >> 8) + b[5] = byte(i) + return 6 + case i < (1 << 56): + b[0] = byte(i >> 48) + b[1] = byte(i >> 40) + b[2] = byte(i >> 32) + b[3] = byte(i >> 24) + b[4] = byte(i >> 16) + b[5] = byte(i >> 8) + b[6] = byte(i) + return 7 + default: + b[0] = byte(i >> 56) + b[1] = byte(i >> 48) + b[2] = byte(i >> 40) + b[3] = byte(i >> 32) + b[4] = byte(i >> 24) + b[5] = byte(i >> 16) + b[6] = byte(i >> 8) + b[7] = byte(i) + return 8 + } +} + +// intsize computes the minimum number of bytes required to store i. +func intsize(i uint64) (size int) { + for size = 1; ; size++ { + if i >>= 8; i == 0 { + return size + } + } +} diff --git a/common/encode/rlp/encode_test.go b/common/encode/rlp/encode_test.go new file mode 100644 index 0000000..b4b9e51 --- /dev/null +++ b/common/encode/rlp/encode_test.go @@ -0,0 +1,403 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "bytes" + "errors" + "fmt" + "io" + "io/ioutil" + "math/big" + "sync" + "testing" +) + +type testEncoder struct { + err error +} + +func (e *testEncoder) EncodeRLP(w io.Writer) error { + if e == nil { + panic("EncodeRLP called on nil value") + } + if e.err != nil { + return e.err + } else { + w.Write([]byte{0, 1, 0, 1, 0, 1, 0, 1, 0, 1}) + } + return nil +} + +type testEncoderValueMethod struct{} + +func (e testEncoderValueMethod) EncodeRLP(w io.Writer) error { + w.Write([]byte{0xFA, 0xFE, 0xF0}) + return nil +} + +type byteEncoder byte + +func (e byteEncoder) EncodeRLP(w io.Writer) error { + w.Write(EmptyList) + return nil +} + +type undecodableEncoder func() + +func (f undecodableEncoder) EncodeRLP(w io.Writer) error { + w.Write([]byte{0xF5, 0xF5, 0xF5}) + return nil +} + +type encodableReader struct { + A, B uint +} + +func (e *encodableReader) Read(b []byte) (int, error) { + panic("called") +} + +type namedByteType byte + +var ( + _ = Encoder(&testEncoder{}) + _ = Encoder(byteEncoder(0)) + + reader io.Reader = &encodableReader{1, 2} +) + +type encTest struct { + val interface{} + output, error string +} + +var encTests = []encTest{ + // booleans + {val: true, output: "01"}, + {val: false, output: "80"}, + + // integers + {val: uint32(0), output: "80"}, + {val: uint32(127), output: "7F"}, + {val: uint32(128), output: "8180"}, + {val: uint32(256), output: "820100"}, + {val: uint32(1024), output: "820400"}, + {val: uint32(0xFFFFFF), output: "83FFFFFF"}, + {val: uint32(0xFFFFFFFF), output: "84FFFFFFFF"}, + {val: uint64(0xFFFFFFFF), output: "84FFFFFFFF"}, + {val: uint64(0xFFFFFFFFFF), output: "85FFFFFFFFFF"}, + {val: uint64(0xFFFFFFFFFFFF), output: "86FFFFFFFFFFFF"}, + {val: uint64(0xFFFFFFFFFFFFFF), output: "87FFFFFFFFFFFFFF"}, + {val: uint64(0xFFFFFFFFFFFFFFFF), output: "88FFFFFFFFFFFFFFFF"}, + + // big integers (should match uint for small values) + {val: big.NewInt(0), output: "80"}, + {val: big.NewInt(1), output: "01"}, + {val: big.NewInt(127), output: "7F"}, + {val: big.NewInt(128), output: "8180"}, + {val: big.NewInt(256), output: "820100"}, + {val: big.NewInt(1024), output: "820400"}, + {val: big.NewInt(0xFFFFFF), output: "83FFFFFF"}, + {val: big.NewInt(0xFFFFFFFF), output: "84FFFFFFFF"}, + {val: big.NewInt(0xFFFFFFFFFF), output: "85FFFFFFFFFF"}, + {val: big.NewInt(0xFFFFFFFFFFFF), output: "86FFFFFFFFFFFF"}, + {val: big.NewInt(0xFFFFFFFFFFFFFF), output: "87FFFFFFFFFFFFFF"}, + { + val: big.NewInt(0).SetBytes(unhex("102030405060708090A0B0C0D0E0F2")), + output: "8F102030405060708090A0B0C0D0E0F2", + }, + { + val: big.NewInt(0).SetBytes(unhex("0100020003000400050006000700080009000A000B000C000D000E01")), + output: "9C0100020003000400050006000700080009000A000B000C000D000E01", + }, + { + val: big.NewInt(0).SetBytes(unhex("010000000000000000000000000000000000000000000000000000000000000000")), + output: "A1010000000000000000000000000000000000000000000000000000000000000000", + }, + + // non-pointer big.Int + {val: *big.NewInt(0), output: "80"}, + {val: *big.NewInt(0xFFFFFF), output: "83FFFFFF"}, + + // negative ints are not supported + {val: big.NewInt(-1), error: "rlp: cannot encode negative *big.Int"}, + + // byte slices, strings + {val: []byte{}, output: "80"}, + {val: []byte{0x7E}, output: "7E"}, + {val: []byte{0x7F}, output: "7F"}, + {val: []byte{0x80}, output: "8180"}, + {val: []byte{1, 2, 3}, output: "83010203"}, + + {val: []namedByteType{1, 2, 3}, output: "83010203"}, + {val: [...]namedByteType{1, 2, 3}, output: "83010203"}, + + {val: "", output: "80"}, + {val: "\x7E", output: "7E"}, + {val: "\x7F", output: "7F"}, + {val: "\x80", output: "8180"}, + {val: "dog", output: "83646F67"}, + { + val: "Lorem ipsum dolor sit amet, consectetur adipisicing eli", + output: "B74C6F72656D20697073756D20646F6C6F722073697420616D65742C20636F6E7365637465747572206164697069736963696E6720656C69", + }, + { + val: "Lorem ipsum dolor sit amet, consectetur adipisicing elit", + output: "B8384C6F72656D20697073756D20646F6C6F722073697420616D65742C20636F6E7365637465747572206164697069736963696E6720656C6974", + }, + { + val: "Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur mauris magna, suscipit sed vehicula non, iaculis faucibus tortor. Proin suscipit ultricies malesuada. Duis tortor elit, dictum quis tristique eu, ultrices at risus. Morbi a est imperdiet mi ullamcorper aliquet suscipit nec lorem. Aenean quis leo mollis, vulputate elit varius, consequat enim. Nulla ultrices turpis justo, et posuere urna consectetur nec. Proin non convallis metus. Donec tempor ipsum in mauris congue sollicitudin. Vestibulum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia Curae; Suspendisse convallis sem vel massa faucibus, eget lacinia lacus tempor. Nulla quis ultricies purus. Proin auctor rhoncus nibh condimentum mollis. Aliquam consequat enim at metus luctus, a eleifend purus egestas. Curabitur at nibh metus. Nam bibendum, neque at auctor tristique, lorem libero aliquet arcu, non interdum tellus lectus sit amet eros. Cras rhoncus, metus ac ornare cursus, dolor justo ultrices metus, at ullamcorper volutpat", + output: "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", + }, + + // slices + {val: []uint{}, output: "C0"}, + {val: []uint{1, 2, 3}, output: "C3010203"}, + { + // [ [], [[]], [ [], [[]] ] ] + val: []interface{}{[]interface{}{}, [][]interface{}{{}}, []interface{}{[]interface{}{}, [][]interface{}{{}}}}, + output: "C7C0C1C0C3C0C1C0", + }, + { + val: []string{"aaa", "bbb", "ccc", "ddd", "eee", "fff", "ggg", "hhh", "iii", "jjj", "kkk", "lll", "mmm", "nnn", "ooo"}, + output: "F83C836161618362626283636363836464648365656583666666836767678368686883696969836A6A6A836B6B6B836C6C6C836D6D6D836E6E6E836F6F6F", + }, + { + val: []interface{}{uint(1), uint(0xFFFFFF), []interface{}{[]uint{4, 5, 5}}, "abc"}, + output: "CE0183FFFFFFC4C304050583616263", + }, + { + val: [][]string{ + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + {"asdf", "qwer", "zxcv"}, + }, + output: "F90200CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376CF84617364668471776572847A786376", + }, + + // RawValue + {val: RawValue(unhex("01")), output: "01"}, + {val: RawValue(unhex("82FFFF")), output: "82FFFF"}, + {val: []RawValue{unhex("01"), unhex("02")}, output: "C20102"}, + + // structs + {val: simplestruct{}, output: "C28080"}, + {val: simplestruct{A: 3, B: "foo"}, output: "C50383666F6F"}, + {val: &recstruct{5, nil}, output: "C205C0"}, + {val: &recstruct{5, &recstruct{4, &recstruct{3, nil}}}, output: "C605C404C203C0"}, + {val: &tailRaw{A: 1, Tail: []RawValue{unhex("02"), unhex("03")}}, output: "C3010203"}, + {val: &tailRaw{A: 1, Tail: []RawValue{unhex("02")}}, output: "C20102"}, + {val: &tailRaw{A: 1, Tail: []RawValue{}}, output: "C101"}, + {val: &tailRaw{A: 1, Tail: nil}, output: "C101"}, + {val: &hasIgnoredField{A: 1, B: 2, C: 3}, output: "C20103"}, + {val: &intField{X: 3}, error: "rlp: type int is not RLP-serializable (struct field rlp.intField.X)"}, + + // nil + {val: (*uint)(nil), output: "80"}, + {val: (*string)(nil), output: "80"}, + {val: (*[]byte)(nil), output: "80"}, + {val: (*[10]byte)(nil), output: "80"}, + {val: (*big.Int)(nil), output: "80"}, + {val: (*[]string)(nil), output: "C0"}, + {val: (*[10]string)(nil), output: "C0"}, + {val: (*[]interface{})(nil), output: "C0"}, + {val: (*[]struct{ uint })(nil), output: "C0"}, + {val: (*interface{})(nil), output: "C0"}, + + // nil struct fields + { + val: struct { + X *[]byte + }{}, + output: "C180", + }, + { + val: struct { + X *[2]byte + }{}, + output: "C180", + }, + { + val: struct { + X *uint64 + }{}, + output: "C180", + }, + { + val: struct { + X *uint64 `rlp:"nilList"` + }{}, + output: "C1C0", + }, + { + val: struct { + X *[]uint64 + }{}, + output: "C1C0", + }, + { + val: struct { + X *[]uint64 `rlp:"nilString"` + }{}, + output: "C180", + }, + + // interfaces + {val: []io.Reader{reader}, output: "C3C20102"}, // the contained value is a struct + + // Encoder + {val: (*testEncoder)(nil), output: "C0"}, + {val: &testEncoder{}, output: "00010001000100010001"}, + {val: &testEncoder{errors.New("test error")}, error: "test error"}, + {val: struct{ E testEncoderValueMethod }{}, output: "C3FAFEF0"}, + {val: struct{ E *testEncoderValueMethod }{}, output: "C1C0"}, + + // Verify that the Encoder interface works for unsupported types like func(). + {val: undecodableEncoder(func() {}), output: "F5F5F5"}, + + // Verify that pointer method testEncoder.EncodeRLP is called for + // addressable non-pointer values. + {val: &struct{ TE testEncoder }{testEncoder{}}, output: "CA00010001000100010001"}, + {val: &struct{ TE testEncoder }{testEncoder{errors.New("test error")}}, error: "test error"}, + + // Verify the error for non-addressable non-pointer Encoder. + {val: testEncoder{}, error: "rlp: unadressable value of type rlp.testEncoder, EncodeRLP is pointer method"}, + + // Verify Encoder takes precedence over []byte. + {val: []byteEncoder{0, 1, 2, 3, 4}, output: "C5C0C0C0C0C0"}, +} + +func runEncTests(t *testing.T, f func(val interface{}) ([]byte, error)) { + for i, test := range encTests { + output, err := f(test.val) + if err != nil && test.error == "" { + t.Errorf("test %d: unexpected error: %v\nvalue %#v\ntype %T", + i, err, test.val, test.val) + continue + } + if test.error != "" && fmt.Sprint(err) != test.error { + t.Errorf("test %d: error mismatch\ngot %v\nwant %v\nvalue %#v\ntype %T", + i, err, test.error, test.val, test.val) + continue + } + if err == nil && !bytes.Equal(output, unhex(test.output)) { + t.Errorf("test %d: output mismatch:\ngot %X\nwant %s\nvalue %#v\ntype %T", + i, output, test.output, test.val, test.val) + } + } +} + +func TestEncode(t *testing.T) { + runEncTests(t, func(val interface{}) ([]byte, error) { + b := new(bytes.Buffer) + err := Encode(b, val) + return b.Bytes(), err + }) +} + +func TestEncodeToBytes(t *testing.T) { + runEncTests(t, EncodeToBytes) +} + +func TestEncodeToReader(t *testing.T) { + runEncTests(t, func(val interface{}) ([]byte, error) { + _, r, err := EncodeToReader(val) + if err != nil { + return nil, err + } + return ioutil.ReadAll(r) + }) +} + +func TestEncodeToReaderPiecewise(t *testing.T) { + runEncTests(t, func(val interface{}) ([]byte, error) { + size, r, err := EncodeToReader(val) + if err != nil { + return nil, err + } + + // read output piecewise + output := make([]byte, size) + for start, end := 0, 0; start < size; start = end { + if remaining := size - start; remaining < 3 { + end += remaining + } else { + end = start + 3 + } + n, err := r.Read(output[start:end]) + end = start + n + if err == io.EOF { + break + } else if err != nil { + return nil, err + } + } + return output, nil + }) +} + +// This is a regression test verifying that encReader +// returns its encbuf to the pool only once. +func TestEncodeToReaderReturnToPool(t *testing.T) { + buf := make([]byte, 50) + wg := new(sync.WaitGroup) + for i := 0; i < 5; i++ { + wg.Add(1) + go func() { + for i := 0; i < 1000; i++ { + _, r, _ := EncodeToReader("foo") + ioutil.ReadAll(r) + r.Read(buf) + r.Read(buf) + r.Read(buf) + r.Read(buf) + } + wg.Done() + }() + } + wg.Wait() +} diff --git a/common/encode/rlp/encoder_example_test.go b/common/encode/rlp/encoder_example_test.go new file mode 100644 index 0000000..42c1c5c --- /dev/null +++ b/common/encode/rlp/encoder_example_test.go @@ -0,0 +1,46 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "fmt" + "io" +) + +type MyCoolType struct { + Name string + a, b uint +} + +// EncodeRLP writes x as RLP list [a, b] that omits the Name field. +func (x *MyCoolType) EncodeRLP(w io.Writer) (err error) { + return Encode(w, []uint{x.a, x.b}) +} + +func ExampleEncoder() { + var t *MyCoolType // t is nil pointer to MyCoolType + bytes, _ := EncodeToBytes(t) + fmt.Printf("%v → %X\n", t, bytes) + + t = &MyCoolType{Name: "foobar", a: 5, b: 6} + bytes, _ = EncodeToBytes(t) + fmt.Printf("%v → %X\n", t, bytes) + + // Output: + // → C0 + // &{foobar 5 6} → C20506 +} diff --git a/common/encode/rlp/iterator.go b/common/encode/rlp/iterator.go new file mode 100644 index 0000000..c28866d --- /dev/null +++ b/common/encode/rlp/iterator.go @@ -0,0 +1,60 @@ +// Copyright 2019 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +type listIterator struct { + data []byte + next []byte + err error +} + +// NewListIterator creates an iterator for the (list) represented by data +func NewListIterator(data RawValue) (*listIterator, error) { + k, t, c, err := readKind(data) + if err != nil { + return nil, err + } + if k != List { + return nil, ErrExpectedList + } + it := &listIterator{ + data: data[t : t+c], + } + return it, nil + +} + +// Next forwards the iterator one step, returns true if it was not at end yet +func (it *listIterator) Next() bool { + if len(it.data) == 0 { + return false + } + _, t, c, err := readKind(it.data) + it.next = it.data[:t+c] + it.data = it.data[t+c:] + it.err = err + return true +} + +// Value returns the current value +func (it *listIterator) Value() []byte { + return it.next +} + +func (it *listIterator) Err() error { + return it.err +} diff --git a/common/encode/rlp/iterator_test.go b/common/encode/rlp/iterator_test.go new file mode 100644 index 0000000..b01db94 --- /dev/null +++ b/common/encode/rlp/iterator_test.go @@ -0,0 +1,51 @@ +/* + * Copyright (c) 2020. + * Project:qitmeer + * File:iterator_test.go + * Date:7/4/20 9:12 PM + * Author:Jin + * Email:lochjin@gmail.com + */ + +package rlp + +import ( + "github.com/Qitmeer/qng-core/common/util/hexutil" + "testing" +) + +// TestIterator tests some basic things about the ListIterator. A more +// comprehensive test can be found in core/rlp_test.go, where we can +// use both types and rlp without dependency cycles +func TestIterator(t *testing.T) { + bodyRlpHex := "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" + bodyRlp := hexutil.MustDecode(bodyRlpHex) + + it, err := NewListIterator(bodyRlp) + if err != nil { + t.Fatal(err) + } + // Check that txs exist + if !it.Next() { + t.Fatal("expected two elems, got zero") + } + txs := it.Value() + // Check that uncles exist + if !it.Next() { + t.Fatal("expected two elems, got one") + } + txit, err := NewListIterator(txs) + if err != nil { + t.Fatal(err) + } + var i = 0 + for txit.Next() { + if txit.err != nil { + t.Fatal(txit.err) + } + i++ + } + if exp := 2; i != exp { + t.Errorf("count wrong, expected %d got %d", i, exp) + } +} diff --git a/common/encode/rlp/raw.go b/common/encode/rlp/raw.go new file mode 100644 index 0000000..2b3f328 --- /dev/null +++ b/common/encode/rlp/raw.go @@ -0,0 +1,156 @@ +// Copyright 2015 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "io" + "reflect" +) + +// RawValue represents an encoded RLP value and can be used to delay +// RLP decoding or to precompute an encoding. Note that the decoder does +// not verify whether the content of RawValues is valid RLP. +type RawValue []byte + +var rawValueType = reflect.TypeOf(RawValue{}) + +// ListSize returns the encoded size of an RLP list with the given +// content size. +func ListSize(contentSize uint64) uint64 { + return uint64(headsize(contentSize)) + contentSize +} + +// Split returns the content of first RLP value and any +// bytes after the value as subslices of b. +func Split(b []byte) (k Kind, content, rest []byte, err error) { + k, ts, cs, err := readKind(b) + if err != nil { + return 0, nil, b, err + } + return k, b[ts : ts+cs], b[ts+cs:], nil +} + +// SplitString splits b into the content of an RLP string +// and any remaining bytes after the string. +func SplitString(b []byte) (content, rest []byte, err error) { + k, content, rest, err := Split(b) + if err != nil { + return nil, b, err + } + if k == List { + return nil, b, ErrExpectedString + } + return content, rest, nil +} + +// SplitList splits b into the content of a list and any remaining +// bytes after the list. +func SplitList(b []byte) (content, rest []byte, err error) { + k, content, rest, err := Split(b) + if err != nil { + return nil, b, err + } + if k != List { + return nil, b, ErrExpectedList + } + return content, rest, nil +} + +// CountValues counts the number of encoded values in b. +func CountValues(b []byte) (int, error) { + i := 0 + for ; len(b) > 0; i++ { + _, tagsize, size, err := readKind(b) + if err != nil { + return 0, err + } + b = b[tagsize+size:] + } + return i, nil +} + +func readKind(buf []byte) (k Kind, tagsize, contentsize uint64, err error) { + if len(buf) == 0 { + return 0, 0, 0, io.ErrUnexpectedEOF + } + b := buf[0] + switch { + case b < 0x80: + k = Byte + tagsize = 0 + contentsize = 1 + case b < 0xB8: + k = String + tagsize = 1 + contentsize = uint64(b - 0x80) + // Reject strings that should've been single bytes. + if contentsize == 1 && len(buf) > 1 && buf[1] < 128 { + return 0, 0, 0, ErrCanonSize + } + case b < 0xC0: + k = String + tagsize = uint64(b-0xB7) + 1 + contentsize, err = readSize(buf[1:], b-0xB7) + case b < 0xF8: + k = List + tagsize = 1 + contentsize = uint64(b - 0xC0) + default: + k = List + tagsize = uint64(b-0xF7) + 1 + contentsize, err = readSize(buf[1:], b-0xF7) + } + if err != nil { + return 0, 0, 0, err + } + // Reject values larger than the input slice. + if contentsize > uint64(len(buf))-tagsize { + return 0, 0, 0, ErrValueTooLarge + } + return k, tagsize, contentsize, err +} + +func readSize(b []byte, slen byte) (uint64, error) { + if int(slen) > len(b) { + return 0, io.ErrUnexpectedEOF + } + var s uint64 + switch slen { + case 1: + s = uint64(b[0]) + case 2: + s = uint64(b[0])<<8 | uint64(b[1]) + case 3: + s = uint64(b[0])<<16 | uint64(b[1])<<8 | uint64(b[2]) + case 4: + s = uint64(b[0])<<24 | uint64(b[1])<<16 | uint64(b[2])<<8 | uint64(b[3]) + case 5: + s = uint64(b[0])<<32 | uint64(b[1])<<24 | uint64(b[2])<<16 | uint64(b[3])<<8 | uint64(b[4]) + case 6: + s = uint64(b[0])<<40 | uint64(b[1])<<32 | uint64(b[2])<<24 | uint64(b[3])<<16 | uint64(b[4])<<8 | uint64(b[5]) + case 7: + s = uint64(b[0])<<48 | uint64(b[1])<<40 | uint64(b[2])<<32 | uint64(b[3])<<24 | uint64(b[4])<<16 | uint64(b[5])<<8 | uint64(b[6]) + case 8: + s = uint64(b[0])<<56 | uint64(b[1])<<48 | uint64(b[2])<<40 | uint64(b[3])<<32 | uint64(b[4])<<24 | uint64(b[5])<<16 | uint64(b[6])<<8 | uint64(b[7]) + } + // Reject sizes < 56 (shouldn't have separate size) and sizes with + // leading zero bytes. + if s < 56 || b[0] == 0 { + return 0, ErrCanonSize + } + return s, nil +} diff --git a/common/encode/rlp/raw_test.go b/common/encode/rlp/raw_test.go new file mode 100644 index 0000000..2aad042 --- /dev/null +++ b/common/encode/rlp/raw_test.go @@ -0,0 +1,196 @@ +// Copyright 2015 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "bytes" + "io" + "reflect" + "testing" +) + +func TestCountValues(t *testing.T) { + tests := []struct { + input string // note: spaces in input are stripped by unhex + count int + err error + }{ + // simple cases + {"", 0, nil}, + {"00", 1, nil}, + {"80", 1, nil}, + {"C0", 1, nil}, + {"01 02 03", 3, nil}, + {"01 C406070809 02", 3, nil}, + {"820101 820202 8403030303 04", 4, nil}, + + // size errors + {"8142", 0, ErrCanonSize}, + {"01 01 8142", 0, ErrCanonSize}, + {"02 84020202", 0, ErrValueTooLarge}, + + { + input: "A12000BF49F440A1CD0527E4D06E2765654C0F56452257516D793A9B8D604DCFDF2AB853F851808D10000000000000000000000000A056E81F171BCC55A6FF8345E692C0F86E5B48E01B996CADC001622FB5E363B421A0C5D2460186F7233C927E7DB2DCC703C0E500B653CA82273B7BFAD8045D85A470", + count: 2, + }, + } + for i, test := range tests { + count, err := CountValues(unhex(test.input)) + if count != test.count { + t.Errorf("test %d: count mismatch, got %d want %d\ninput: %s", i, count, test.count, test.input) + } + if !reflect.DeepEqual(err, test.err) { + t.Errorf("test %d: err mismatch, got %q want %q\ninput: %s", i, err, test.err, test.input) + } + } +} + +func TestSplitTypes(t *testing.T) { + if _, _, err := SplitString(unhex("C100")); err != ErrExpectedString { + t.Errorf("SplitString returned %q, want %q", err, ErrExpectedString) + } + if _, _, err := SplitList(unhex("01")); err != ErrExpectedList { + t.Errorf("SplitString returned %q, want %q", err, ErrExpectedList) + } + if _, _, err := SplitList(unhex("81FF")); err != ErrExpectedList { + t.Errorf("SplitString returned %q, want %q", err, ErrExpectedList) + } +} + +func TestSplit(t *testing.T) { + tests := []struct { + input string + kind Kind + val, rest string + err error + }{ + {input: "01FFFF", kind: Byte, val: "01", rest: "FFFF"}, + {input: "80FFFF", kind: String, val: "", rest: "FFFF"}, + {input: "C3010203", kind: List, val: "010203"}, + + // errors + {input: "", err: io.ErrUnexpectedEOF}, + + {input: "8141", err: ErrCanonSize, rest: "8141"}, + {input: "B800", err: ErrCanonSize, rest: "B800"}, + {input: "B802FFFF", err: ErrCanonSize, rest: "B802FFFF"}, + {input: "B90000", err: ErrCanonSize, rest: "B90000"}, + {input: "B90055", err: ErrCanonSize, rest: "B90055"}, + {input: "BA0002FFFF", err: ErrCanonSize, rest: "BA0002FFFF"}, + {input: "F800", err: ErrCanonSize, rest: "F800"}, + {input: "F90000", err: ErrCanonSize, rest: "F90000"}, + {input: "F90055", err: ErrCanonSize, rest: "F90055"}, + {input: "FA0002FFFF", err: ErrCanonSize, rest: "FA0002FFFF"}, + + {input: "81", err: ErrValueTooLarge, rest: "81"}, + {input: "8501010101", err: ErrValueTooLarge, rest: "8501010101"}, + {input: "C60607080902", err: ErrValueTooLarge, rest: "C60607080902"}, + + // size check overflow + {input: "BFFFFFFFFFFFFFFFFF", err: ErrValueTooLarge, rest: "BFFFFFFFFFFFFFFFFF"}, + {input: "FFFFFFFFFFFFFFFFFF", err: ErrValueTooLarge, rest: "FFFFFFFFFFFFFFFFFF"}, + + { + input: "B838FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + err: ErrValueTooLarge, + rest: "B838FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + }, + { + input: "F838FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + err: ErrValueTooLarge, + rest: "F838FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + }, + + // a few bigger values, just for kicks + { + input: "F839FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + kind: List, + val: "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", + rest: "", + }, + { + input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kind: List, + val: "A060EF29F20CC1007AE6E9530AEE16F4B31F8F1769A2D1264EC995C6D1241868D6A07C62AB8AC9838F5F5877B20BB37B387BC2106E97A3D52172CBEDB5EE17C36008A00EAB6B7324AADC0F6047C6AFC8229F09F7CF451B51D67C8DFB08D49BA8C3C626A04453343B2F3A6E42FCF87948F88AF7C8FC16D0C2735CBA7F026836239AB2C15FA024635C7291C882CE4C0763760C1A362DFC3FFCD802A55722236DE058D74202ACA0A220C808DE10F55E40AB25255201CFF009EA181D3906638E944EE2BF34049984A08D325AB26796F1CCB470F69C0F842501DC35D368A0C2575B2D243CFD1E8AB0FDA0B5298FF60DA5069463D610513C9F04F24051348391A143AFFAB7197DFACDEA72A02D2A7058A4463F8FB69378369E11EF33AE3252E2DB86CB545B36D3C26DDECE5AA0888F97BCA8E0BD83DC5B3B91CFF5FAF2F66F9501010682D67EF4A3B4E66115FBA0E8175A60C93BE9ED02921958F0EA55DA0FB5E4802AF5846147BAD92BC2D8AF26A08B3376FF433F3A4250FA64B7F804004CAC5807877D91C4427BD1CD05CF912ED8A09B32EF0F03BD13C37FF950C0CCCEFCCDD6669F2E7F2AA5CB859928E84E29763EA09BBA5E46610C8C8B1F8E921E5691BF8C7E40D75825D5EA3217AA9C3A8A355F39A0EEB95BC78251CCCEC54A97F19755C4A59A293544EEE6119AFA50531211E53C4FA00B6E86FE150BF4A9E0FEEE9C90F5465E617A861BB5E357F942881EE762212E2580", + rest: "", + }, + { + input: "F877A12000BF49F440A1CD0527E4D06E2765654C0F56452257516D793A9B8D604DCFDF2AB853F851808D10000000000000000000000000A056E81F171BCC55A6FF8345E692C0F86E5B48E01B996CADC001622FB5E363B421A0C5D2460186F7233C927E7DB2DCC703C0E500B653CA82273B7BFAD8045D85A470", + kind: List, + val: "A12000BF49F440A1CD0527E4D06E2765654C0F56452257516D793A9B8D604DCFDF2AB853F851808D10000000000000000000000000A056E81F171BCC55A6FF8345E692C0F86E5B48E01B996CADC001622FB5E363B421A0C5D2460186F7233C927E7DB2DCC703C0E500B653CA82273B7BFAD8045D85A470", + rest: "", + }, + } + + for i, test := range tests { + kind, val, rest, err := Split(unhex(test.input)) + if kind != test.kind { + t.Errorf("test %d: kind mismatch: got %v, want %v", i, kind, test.kind) + } + if !bytes.Equal(val, unhex(test.val)) { + t.Errorf("test %d: val mismatch: got %x, want %s", i, val, test.val) + } + if !bytes.Equal(rest, unhex(test.rest)) { + t.Errorf("test %d: rest mismatch: got %x, want %s", i, rest, test.rest) + } + if err != test.err { + t.Errorf("test %d: error mismatch: got %q, want %q", i, err, test.err) + } + } +} + +func TestReadSize(t *testing.T) { + tests := []struct { + input string + slen byte + size uint64 + err error + }{ + {input: "", slen: 1, err: io.ErrUnexpectedEOF}, + {input: "FF", slen: 2, err: io.ErrUnexpectedEOF}, + {input: "00", slen: 1, err: ErrCanonSize}, + {input: "36", slen: 1, err: ErrCanonSize}, + {input: "37", slen: 1, err: ErrCanonSize}, + {input: "38", slen: 1, size: 0x38}, + {input: "FF", slen: 1, size: 0xFF}, + {input: "FFFF", slen: 2, size: 0xFFFF}, + {input: "FFFFFF", slen: 3, size: 0xFFFFFF}, + {input: "FFFFFFFF", slen: 4, size: 0xFFFFFFFF}, + {input: "FFFFFFFFFF", slen: 5, size: 0xFFFFFFFFFF}, + {input: "FFFFFFFFFFFF", slen: 6, size: 0xFFFFFFFFFFFF}, + {input: "FFFFFFFFFFFFFF", slen: 7, size: 0xFFFFFFFFFFFFFF}, + {input: "FFFFFFFFFFFFFFFF", slen: 8, size: 0xFFFFFFFFFFFFFFFF}, + {input: "0102", slen: 2, size: 0x0102}, + {input: "010203", slen: 3, size: 0x010203}, + {input: "01020304", slen: 4, size: 0x01020304}, + {input: "0102030405", slen: 5, size: 0x0102030405}, + {input: "010203040506", slen: 6, size: 0x010203040506}, + {input: "01020304050607", slen: 7, size: 0x01020304050607}, + {input: "0102030405060708", slen: 8, size: 0x0102030405060708}, + } + + for _, test := range tests { + size, err := readSize(unhex(test.input), test.slen) + if err != test.err { + t.Errorf("readSize(%s, %d): error mismatch: got %q, want %q", test.input, test.slen, err, test.err) + continue + } + if size != test.size { + t.Errorf("readSize(%s, %d): size mismatch: got %#x, want %#x", test.input, test.slen, size, test.size) + } + } +} diff --git a/common/encode/rlp/typecache.go b/common/encode/rlp/typecache.go new file mode 100644 index 0000000..e9a1e3f --- /dev/null +++ b/common/encode/rlp/typecache.go @@ -0,0 +1,215 @@ +// Copyright 2014 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package rlp + +import ( + "fmt" + "reflect" + "strings" + "sync" +) + +var ( + typeCacheMutex sync.RWMutex + typeCache = make(map[typekey]*typeinfo) +) + +type typeinfo struct { + decoder decoder + decoderErr error // error from makeDecoder + writer writer + writerErr error // error from makeWriter +} + +// tags represents struct tags. +type tags struct { + // rlp:"nil" controls whether empty input results in a nil pointer. + nilOK bool + + // This controls whether nil pointers are encoded/decoded as empty strings + // or empty lists. + nilKind Kind + + // rlp:"tail" controls whether this field swallows additional list + // elements. It can only be set for the last field, which must be + // of slice type. + tail bool + + // rlp:"-" ignores fields. + ignored bool +} + +// typekey is the key of a type in typeCache. It includes the struct tags because +// they might generate a different decoder. +type typekey struct { + reflect.Type + tags +} + +type decoder func(*Stream, reflect.Value) error + +type writer func(reflect.Value, *encbuf) error + +func cachedDecoder(typ reflect.Type) (decoder, error) { + info := cachedTypeInfo(typ, tags{}) + return info.decoder, info.decoderErr +} + +func cachedWriter(typ reflect.Type) (writer, error) { + info := cachedTypeInfo(typ, tags{}) + return info.writer, info.writerErr +} + +func cachedTypeInfo(typ reflect.Type, tags tags) *typeinfo { + typeCacheMutex.RLock() + info := typeCache[typekey{typ, tags}] + typeCacheMutex.RUnlock() + if info != nil { + return info + } + // not in the cache, need to generate info for this type. + typeCacheMutex.Lock() + defer typeCacheMutex.Unlock() + return cachedTypeInfo1(typ, tags) +} + +func cachedTypeInfo1(typ reflect.Type, tags tags) *typeinfo { + key := typekey{typ, tags} + info := typeCache[key] + if info != nil { + // another goroutine got the write lock first + return info + } + // put a dummy value into the cache before generating. + // if the generator tries to lookup itself, it will get + // the dummy value and won't call itself recursively. + info = new(typeinfo) + typeCache[key] = info + info.generate(typ, tags) + return info +} + +type field struct { + index int + info *typeinfo +} + +func structFields(typ reflect.Type) (fields []field, err error) { + lastPublic := lastPublicField(typ) + for i := 0; i < typ.NumField(); i++ { + if f := typ.Field(i); f.PkgPath == "" { // exported + tags, err := parseStructTag(typ, i, lastPublic) + if err != nil { + return nil, err + } + if tags.ignored { + continue + } + info := cachedTypeInfo1(f.Type, tags) + fields = append(fields, field{i, info}) + } + } + return fields, nil +} + +type structFieldError struct { + typ reflect.Type + field int + err error +} + +func (e structFieldError) Error() string { + return fmt.Sprintf("%v (struct field %v.%s)", e.err, e.typ, e.typ.Field(e.field).Name) +} + +type structTagError struct { + typ reflect.Type + field, tag, err string +} + +func (e structTagError) Error() string { + return fmt.Sprintf("rlp: invalid struct tag %q for %v.%s (%s)", e.tag, e.typ, e.field, e.err) +} + +func parseStructTag(typ reflect.Type, fi, lastPublic int) (tags, error) { + f := typ.Field(fi) + var ts tags + for _, t := range strings.Split(f.Tag.Get("rlp"), ",") { + switch t = strings.TrimSpace(t); t { + case "": + case "-": + ts.ignored = true + case "nil", "nilString", "nilList": + ts.nilOK = true + if f.Type.Kind() != reflect.Ptr { + return ts, structTagError{typ, f.Name, t, "field is not a pointer"} + } + switch t { + case "nil": + ts.nilKind = defaultNilKind(f.Type.Elem()) + case "nilString": + ts.nilKind = String + case "nilList": + ts.nilKind = List + } + case "tail": + ts.tail = true + if fi != lastPublic { + return ts, structTagError{typ, f.Name, t, "must be on last field"} + } + if f.Type.Kind() != reflect.Slice { + return ts, structTagError{typ, f.Name, t, "field type is not slice"} + } + default: + return ts, fmt.Errorf("rlp: unknown struct tag %q on %v.%s", t, typ, f.Name) + } + } + return ts, nil +} + +func lastPublicField(typ reflect.Type) int { + last := 0 + for i := 0; i < typ.NumField(); i++ { + if typ.Field(i).PkgPath == "" { + last = i + } + } + return last +} + +func (i *typeinfo) generate(typ reflect.Type, tags tags) { + i.decoder, i.decoderErr = makeDecoder(typ, tags) + i.writer, i.writerErr = makeWriter(typ, tags) +} + +// defaultNilKind determines whether a nil pointer to typ encodes/decodes +// as an empty string or empty list. +func defaultNilKind(typ reflect.Type) Kind { + k := typ.Kind() + if isUint(k) || k == reflect.String || k == reflect.Bool || isByteArray(typ) { + return String + } + return List +} + +func isUint(k reflect.Kind) bool { + return k >= reflect.Uint && k <= reflect.Uintptr +} + +func isByteArray(typ reflect.Type) bool { + return (typ.Kind() == reflect.Slice || typ.Kind() == reflect.Array) && isByte(typ.Elem()) +} diff --git a/common/hash/README.md b/common/hash/README.md new file mode 100644 index 0000000..6d51754 --- /dev/null +++ b/common/hash/README.md @@ -0,0 +1,64 @@ +# MeerXKeccakV1 + +# Meer Header + +| version | parent_root | tx_root | state_root | difficulty | time | pow_type | nonce +| ---| --- | --- | --- | --- | --- | --- | --- | +| 4 bytes |32 bytes |32 bytes | 32 bytes | 4 bytes | 4 bytes | 1 byte |8 bytes + +### QitmeerKeccak256(NewLegacyKeccak512(NewLegacyKeccak512(header))^1) +#### [MeerXKeccakV1 See Golang Code](https://github.com/Qitmeer/qitmeer/blob/meer_pow/common/hash/hashfuncs_meer_crypto.go) +#### [QitmeerKeccak256 Use PaddingFix See C Code](https://github.com/jamesvan2019/keccakhash_c/commit/68cd0af8e573eafd2adeab1747e1760cbec99cf3) +#### [QitmeerKeccak256 Use PaddingFix See Golang Code](https://github.com/Qitmeer/crypto/blob/master/sha3/hashes.go#L76) + +### NewLegacyKeccak512 Use Standard Keccak512 + +### Example +```golang +input : 117 bytes +HashMeerXKeccakV1(helloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhel) +result: 046bb4ee0e487afb53c428f5d18f2875951f80330fe39870011ddac6a9c06b1c + +``` +### Header assemble example +```golang +# example 1 +header(117 bytes):12000000c24900a189710157b8d020f2d09068ec4ee1eacae6b38753a6304894d0e2104b80eb912fbeb3b6735a4acfb89fd199e0f0abc50a48dccd52e2245e0619755468000000000000000000000000000000000000000000000000000000000000000068db061fda20d75f088f10000000000000 +version : 12000000 +parent_root :c24900a189710157b8d020f2d09068ec4ee1eacae6b38753a6304894d0e2104b +tx_root :80eb912fbeb3b6735a4acfb89fd199e0f0abc50a48dccd52e2245e0619755468 +state_root :0000000000000000000000000000000000000000000000000000000000000000 +difficulty : 68db061f +time :da20d75f +pow_type :08 +nonce :8f10000000000000(4239) + +target: +0006db6800000000000000000000000000000000000000000000000000000000 + +meerHash:84499238afb6b544e01032f2ea73d5692ef5d29775daa3a778bfbd2efbb90000 + +meerHash(reverse):0000b9fb2ebdbf78a7a3da7597d2f52e69d573eaf23210e044b5b6af38924984 + +Compliance target difficulty + +# example 2 +header(117 bytes):120000005b42f3a292059337e2097c4077d6578adf4253c63ab74a51d57a3cf330003267b012b719ebfb86d8ea7864307bd0b743980ead38d1f2c06919fc45d6eb604ed9000000000000000000000000000000000000000000000000000000000000000068db061fa421d75f086605000000000000 +version : 12000000 +parent_root :5b42f3a292059337e2097c4077d6578adf4253c63ab74a51d57a3cf330003267 +tx_root :b012b719ebfb86d8ea7864307bd0b743980ead38d1f2c06919fc45d6eb604ed9 +state_root :0000000000000000000000000000000000000000000000000000000000000000 +difficulty : 68db061f +time :a421d75f +pow_type :08 +nonce :6605000000000000(1382) + +target: +0006db6800000000000000000000000000000000000000000000000000000000 + +meerHash:3b94fab4d25980aca4512b86b32bc96fd7cb8f8fdf3f265ffde45f72688e0100 + +meerHash(reverse):00018e68725fe4fd5f263fdf8f8fcbd76fc92bb3862b51a4ac8059d2b4fa943b + +Compliance target difficulty +``` \ No newline at end of file diff --git a/common/hash/bench_test.go b/common/hash/bench_test.go new file mode 100644 index 0000000..570e2fc --- /dev/null +++ b/common/hash/bench_test.go @@ -0,0 +1,50 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package hash + +import ( + "github.com/Qitmeer/qng-core/common/util" + "github.com/stretchr/testify/assert" + "testing" +) + +// Ensure same result with the normal way +func TestHashWithPoolGotSameResult(t *testing.T) { + data := []byte("Test data") + h := HashB(data) + h2 := HashB_pool(data) + assert.Equal(t, h, h2) + + dh := DoubleHashB(data) + dh2 := DoubleHashB_pool(data) + assert.Equal(t, dh, dh2) +} + +// TODO revisit the cached hasher pool +// TODO add test for GC +// +// Note : Using sync.Pool for hash is a little worse than normal way +// +// go test -bench=. +// goos: darwin +// goarch: amd64 +// pkg: qitmeer/common/hash +// BenchmarkHashWithPool-8 500000 2544 ns/op +// BenchmarkHashWithoutPool-8 500000 2390 ns/op +// PASS +// ok qitmeer/common/hash 2.541s +// + +func BenchmarkHashWithPool(b *testing.B) { + for i := 0; i < b.N; i++ { + data := util.ReadSizedRand(nil, 32) + DoubleHashB_pool(data) + } +} + +func BenchmarkHashWithoutPool(b *testing.B) { + for i := 0; i < b.N; i++ { + data := util.ReadSizedRand(nil, 32) + DoubleHashB(data) + } +} diff --git a/common/hash/btc/hashfuncs_sha256.go b/common/hash/btc/hashfuncs_sha256.go new file mode 100644 index 0000000..d21a264 --- /dev/null +++ b/common/hash/btc/hashfuncs_sha256.go @@ -0,0 +1,41 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015 The Decred developers +// Copyright (c) 2016-2017 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package btc + +import ( + "crypto/sha256" + "github.com/Qitmeer/qng-core/common/hash" +) + +// HashB calculates hash(b) and returns the resulting bytes. +func HashB(b []byte) []byte { + h := sha256.Sum256(b) + return h[:] +} + +// HashH calculates hash(b) and returns the resulting bytes as a Hash. +func HashH(b []byte) hash.Hash { + return hash.Hash(sha256.Sum256(b)) +} + +// DoubleHashB calculates hash(hash(b)) and returns the resulting bytes. +func DoubleHashB(b []byte) []byte { + first := sha256.Sum256(b) + second := sha256.Sum256(first[:]) + return second[:] +} + +// DoubleHashH calculates hash(hash(b)) and returns the resulting bytes as a +// Hash. +func DoubleHashH(b []byte) hash.Hash { + first := sha256.Sum256(b) + return hash.Hash(sha256.Sum256(first[:])) +} + +func Hash160(buf []byte) []byte { + return hash.CalcHash(HashB(buf), hash.GetHasher(hash.Ripemd160)) +} diff --git a/common/hash/dcr/hashfuncs_bake256.go b/common/hash/dcr/hashfuncs_bake256.go new file mode 100644 index 0000000..03385ae --- /dev/null +++ b/common/hash/dcr/hashfuncs_bake256.go @@ -0,0 +1,58 @@ +package dcr + +import ( + "github.com/Qitmeer/qng-core/common/hash" + "github.com/dchest/blake256" +) + +func HashFunc(data []byte) [blake256.Size]byte { + var outB [blake256.Size]byte + a := blake256.New() + a.Write(data) + out := a.Sum(nil) + for i, el := range out { + outB[i] = el + } + + return outB +} + +// HashB using blake256 to calculates hash(b) and returns the resulting bytes. +func HashB(b []byte) []byte { + a := blake256.New() + a.Write(b) + out := a.Sum(nil) + return out +} + +// DoubleHashB calculates hash(hash(b)) and returns the resulting bytes. +func DoubleHashB(b []byte) (output [blake256.Size]byte) { + h := blake256.New() + h.Write(b) + intermediateHash := h.Sum(nil) + h.Reset() + h.Write(intermediateHash) + finalHash := h.Sum(nil) + copy(output[:], finalHash[:]) + return +} + +// HashH using blake256 to calculates hash(b) and returns the resulting bytes as a Hash. +func HashH(b []byte) hash.Hash { + var outB [blake256.Size]byte + a := blake256.New() + a.Write(b) + out := a.Sum(nil) + for i, el := range out { + outB[i] = el + } + + return hash.Hash(outB) +} + +func Hash160(buf []byte) []byte { + return hash.CalcHash(HashB(buf), hash.GetHasher(hash.Ripemd160)) +} + +// HashBlockSize is the block size of the hash algorithm in bytes. +const HashBlockSize = blake256.BlockSize diff --git a/common/hash/hash.go b/common/hash/hash.go new file mode 100644 index 0000000..8129acc --- /dev/null +++ b/common/hash/hash.go @@ -0,0 +1,256 @@ +// Copyright 2017-2018 The qitmeer developers + +package hash + +import ( + "crypto" + _ "crypto/sha256" + "encoding/hex" + "fmt" + "github.com/Qitmeer/qng-core/core/json" + _ "golang.org/x/crypto/blake2b" + _ "golang.org/x/crypto/ripemd160" + "golang.org/x/crypto/sha3" + _ "golang.org/x/crypto/sha3" + "hash" +) + +const HashSize = 32 + +// MaxHashStringSize is the maximum length of a Hash hash string. +const MaxHashStringSize = HashSize * 2 + +// ErrHashStrSize describes an error that indicates the caller specified a hash +// string that has too many characters. +var ErrHashStrSize = fmt.Errorf("max hash string length is %v bytes", MaxHashStringSize) + +type Hash [HashSize]byte + +type Hash256 [32]byte + +type Hash512 [64]byte + +type Hasher interface { + hash.Hash +} + +var ZeroHash = Hash([32]byte{ // Make go vet happy. + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, +}) + +type HashType byte + +// TODO refactoring hasher +// consider to integrated https://github.com/multiformats/go-multihash +const ( + SHA256 HashType = iota + Keccak_256 + SHA3_256 + SHA3_512 + Ripemd160 + Blake2b_256 + Blake2b_512 +) + +func GetHasher(ht HashType) Hasher { + switch ht { + case SHA256: + return crypto.SHA256.New() + case Keccak_256: + return sha3.NewLegacyKeccak256() + case SHA3_256: + return crypto.SHA3_256.New() + case SHA3_512: + return crypto.SHA3_512.New() + case Ripemd160: + return crypto.RIPEMD160.New() + case Blake2b_256: + return crypto.BLAKE2b_256.New() + case Blake2b_512: + return crypto.BLAKE2b_512.New() + } + return nil +} + +// String returns the Hash as the hexadecimal string of the byte-reversed +// hash. +func (hash Hash) String() string { + for i := 0; i < HashSize/2; i++ { + hash[i], hash[HashSize-1-i] = hash[HashSize-1-i], hash[i] + } + return hex.EncodeToString(hash[:]) +} + +func (h Hash) Bytes() []byte { return h[:] } + +// CloneBytes returns a copy of the bytes which represent the hash as a byte +// slice. +// +// NOTE: It is generally cheaper to just slice the hash directly thereby reusing +// the same bytes rather than calling this method. +func (hash *Hash) CloneBytes() []byte { + newHash := make([]byte, HashSize) + copy(newHash, hash[:]) + + return newHash +} + +// SetBytes sets the bytes which represent the hash. An error is returned if +// the number of bytes passed in is not HashSize. +func (hash *Hash) SetBytes(newHash []byte) error { + nhlen := len(newHash) + if nhlen != HashSize { + return fmt.Errorf("invalid hash length of %v, want %v", nhlen, + HashSize) + } + copy(hash[:], newHash) + + return nil +} + +// IsEqual returns true if target is the same as hash. +func (hash *Hash) IsEqual(target *Hash) bool { + if hash == nil && target == nil { + return true + } + if hash == nil || target == nil { + return false + } + return *hash == *target +} + +// NewHash returns a new Hash from a byte slice. An error is returned if +// the number of bytes passed in is not HashSize. +func NewHash(newHash []byte) (*Hash, error) { + var sh Hash + err := sh.SetBytes(newHash) + if err != nil { + return nil, err + } + return &sh, err +} + +// NewHashFromStr creates a Hash from a hash string. The string should be +// the hexadecimal string of a byte-reversed hash, but any missing characters +// result in zero padding at the end of the Hash. +func NewHashFromStr(hash string) (*Hash, error) { + ret := new(Hash) + err := Decode(ret, hash) + if err != nil { + return nil, err + } + return ret, nil +} + +// convert hex string to a hash. Must means it panics for invalid input. +func MustHexToHash(i string) Hash { + data, err := hex.DecodeString(i) + if err != nil { + panic(err) + } + + var h Hash + if len(data) > len(h) { + data = data[len(data)-HashSize:] + } + copy(h[HashSize-len(data):], data) + + var nh Hash + err = nh.SetBytes(h[:]) + if err != nil { + panic(err) + } + return nh +} + +// convert hex string to a byte-reversed hash, Must means it panics for invalid input. +func MustHexToDecodedHash(i string) Hash { + h, err := NewHashFromStr(i) + if err != nil { + panic(err) + } + return *h +} + +// convert []byte to a hash, Must means it panics for invalid input. +func MustBytesToHash(b []byte) Hash { + var h Hash + if len(b) > len(h) { + b = b[len(b)-HashSize:] + } + copy(h[HashSize-len(b):], b) + + hh, err := NewHash(h[:]) + if err != nil { + panic(err) + } + return *hh +} + +// convert []byte to a byte-reversed hash, Must means it panics for invalid input. +func MustBytesToDecodeHash(b []byte) Hash { + s := hex.EncodeToString(b) + return MustHexToDecodedHash(s) +} + +// Decode decodes the byte-reversed hexadecimal string encoding of a Hash to a +// destination. +func Decode(dst *Hash, src string) error { + // Return error if hash string is too long. + if len(src) > MaxHashStringSize { + return ErrHashStrSize + } + + // Hex decoder expects the hash to be a multiple of two. When not, pad + // with a leading zero. + var srcBytes []byte + if len(src)%2 == 0 { + srcBytes = []byte(src) + } else { + srcBytes = make([]byte, 1+len(src)) + srcBytes[0] = '0' + copy(srcBytes[1:], src) + } + + // Hex decode the source bytes to a temporary destination. + var reversedHash Hash + _, err := hex.Decode(reversedHash[HashSize-hex.DecodedLen(len(srcBytes)):], srcBytes) + if err != nil { + return err + } + + // Reverse copy from the temporary hash to destination. Because the + // temporary was zeroed, the written result will be correctly padded. + for i, b := range reversedHash[:HashSize/2] { + dst[i], dst[HashSize-1-i] = reversedHash[HashSize-1-i], b + } + + return nil +} + +// UnmarshalText decodes the hash from hex. The 0x prefix is optional. +// TODO clean-up the byte-reverse hash +func (h *Hash) UnmarshalText(input []byte) error { + var inputStr [HashSize]byte + err := json.UnmarshalFixedUnprefixedText("UnprefixedHash", input, inputStr[:]) + if err != nil { + return err + } + //TODO, remove the need to reverse byte + err = Decode(h, hex.EncodeToString(inputStr[:])) + if err != nil { + return err + } + return nil +} + +// MarshalText encodes the hash as hex. +// TODO, impl after the clean-up of byte-reverse hash +/* +func (h Hash) MarshalText() ([]byte, error) { + return []byte(hex.EncodeToString(h[:])), nil +} +*/ diff --git a/common/hash/hash160.go b/common/hash/hash160.go new file mode 100644 index 0000000..92558ac --- /dev/null +++ b/common/hash/hash160.go @@ -0,0 +1,17 @@ +package hash + +import ( + h "hash" +) + +// Calculate the hash of hasher over buf. +func CalcHash(buf []byte, hasher h.Hash) []byte { + defer hasher.Reset() + hasher.Write(buf) + return hasher.Sum(nil) +} + +// Hash160 calculates the hash ripemd160(hash256(b)). +func Hash160(buf []byte) []byte { + return CalcHash(HashB(buf), GetHasher(Ripemd160)) +} diff --git a/common/hash/hash_test.go b/common/hash/hash_test.go new file mode 100644 index 0000000..7105afd --- /dev/null +++ b/common/hash/hash_test.go @@ -0,0 +1,66 @@ +package hash + +import ( + "encoding/hex" + "fmt" + "github.com/stretchr/testify/assert" + "testing" +) + +type _Golden struct { + out uint32 + in string +} + +var goldenTest = []_Golden{ + {0x00000000, ""}, + {0x00000000, "a"}, + {0x00000000, "ab"}, + {0x00000000, "abc"}, + {0x00000000, "abcd"}, + {0x00000000, "abcde"}, + {0x00000000, "abcdef"}, + {0x00000000, "abcdefg"}, + {0x00000000, "abcdefgh"}, + {0x00000000, "abcdefghi"}, + {0x00000000, "abcdefghij"}, + {0x00000000, "Discard medicine more than two years old."}, + {0x00000000, "He who has a shady past knows that nice guys finish last."}, + {0x00000000, "I wouldn't marry him with a ten foot pole."}, + {0x00000000, "Free! Free!/A trip/to Mars/for 900/empty jars/Burma Shave"}, + {0x00000000, "The days of the digital watch are numbered. -Tom Stoppard"}, + {0x00000000, "Nepal premier won't resign."}, + {0x00000000, "For every action there is an equal and opposite government program."}, + {0x00000000, "His money is twice tainted: 'taint yours and 'taint mine."}, + {0x00000000, "There is no reason for any individual to have a computer in their home. -Ken Olsen, 1977"}, + {0x00000000, "It's a tiny change to the code and not completely disgusting. - Bob Manchek"}, + {0x00000000, "size: a.out: bad magic"}, + {0x00000000, "The major problem is with sendmail. -Mark Horton"}, + {0x00000000, "Give me a rock, paper and scissors and I will move the world. CCFestoon"}, + {0x00000000, "If the enemy is within range, then so are you."}, + {0x00000000, "It's well we cannot hear the screams/That we create in others' dreams."}, + {0x00000000, "You remind me of a TV show, but that's all right: I watch it anyway."}, + {0x00000000, "C is as portable as Stonehedge!!"}, + {0x00000000, "Even if I could be Shakespeare, I think I should still choose to be Faraday. - A. Huxley"}, + {0x00000000, "The fugacity of a constituent in a mixture of gases at a given temperature is proportional to its mole fraction. Lewis-Randall Rule"}, + {0x00000000, "How can you write a big system without C++? -Paul Glick"}, +} + +func TestHashMeerXKeccakV1(t *testing.T) { + str := "helloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhel" + h := HashMeerXKeccakV1([]byte(str)) + assert.Equal(t, hex.EncodeToString(h[:]), "046bb4ee0e487afb53c428f5d18f2875951f80330fe39870011ddac6a9c06b1c") + str = "12000000c24900a189710157b8d020f2d09068ec4ee1eacae6b38753a6304894d0e2104b80eb912fbeb3b6735a4acfb89fd199e0f0abc50a48dccd52e2245e0619755468000000000000000000000000000000000000000000000000000000000000000068db061fda20d75f088f10000000000000" + b, _ := hex.DecodeString(str) + h = HashMeerXKeccakV1(b) + assert.Equal(t, hex.EncodeToString(h[:]), "84499238afb6b544e01032f2ea73d5692ef5d29775daa3a778bfbd2efbb90000") + str = "120000005b42f3a292059337e2097c4077d6578adf4253c63ab74a51d57a3cf330003267b012b719ebfb86d8ea7864307bd0b743980ead38d1f2c06919fc45d6eb604ed9000000000000000000000000000000000000000000000000000000000000000068db061fa421d75f086605000000000000" + b, _ = hex.DecodeString(str) + h = HashMeerXKeccakV1(b) + assert.Equal(t, hex.EncodeToString(h[:]), "3b94fab4d25980aca4512b86b32bc96fd7cb8f8fdf3f265ffde45f72688e0100") + + str = "120000003d23a9a7eb43ac14e7a00fb85074633f4279c1748182582fe69843f945512392c04a59e4d676f01b9f7755fe033602e0529dea90df046ecd3515900aeff9eab90000000000000000000000000000000000000000000000000000000000000000ffff032057d8e85f08899d0de000000000" + b, _ = hex.DecodeString(str) + h = HashMeerXKeccakV1(b) + fmt.Println(hex.EncodeToString(h[:])) +} diff --git a/common/hash/hashfuncs_blake2b.go b/common/hash/hashfuncs_blake2b.go new file mode 100644 index 0000000..0cc33ce --- /dev/null +++ b/common/hash/hashfuncs_blake2b.go @@ -0,0 +1,49 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package hash + +import ( + "github.com/Qitmeer/qng-core/crypto/x16rv3" + "github.com/Qitmeer/qng-core/crypto/x8r16" + "golang.org/x/crypto/blake2b" +) + +// HashB using blake2b calculates 256 bits hash and returns the resulting bytes. +func HashB(b []byte) []byte { + hash := blake2b.Sum256(b) + return hash[:] +} + +// Hash512B using blake2b calculates 512 bits hash and returns the resulting bytes. +func Hash512B(b []byte) []byte { + hash := blake2b.Sum512(b) + return hash[:] +} + +// HashH calculates hash(b) and returns the resulting bytes as a Hash. +func HashH(b []byte) Hash { + return Hash(blake2b.Sum256(b)) +} + +// HashX16rv3 calculates hash(b) and returns the resulting bytes as a Hash. +func HashX16rv3(b []byte) Hash { + return Hash(x16rv3.Sum256(b)) +} + +// HashX8r16 calculates hash(b) and returns the resulting bytes as a Hash. +func HashX8r16(b []byte) Hash { + return Hash(x8r16.Sum256(b)) +} + +// DoubleHashB calculates hash(hash(b)) and returns the resulting bytes. +func DoubleHashB(b []byte) []byte { + first := blake2b.Sum256(b) + second := blake2b.Sum256(first[:]) + return second[:] +} + +// DoubleHashH calculates hash(hash(b)) and returns the resulting bytes as a +// Hash. +func DoubleHashH(b []byte) Hash { + first := blake2b.Sum256(b) + return Hash(blake2b.Sum256(first[:])) +} diff --git a/common/hash/hashfuncs_meer_crypto.go b/common/hash/hashfuncs_meer_crypto.go new file mode 100644 index 0000000..c27a268 --- /dev/null +++ b/common/hash/hashfuncs_meer_crypto.go @@ -0,0 +1,36 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package hash + +import ( + qitmeerSha3 "github.com/Qitmeer/crypto/sha3" +) + +// Meer X Keccak V1 calculates hash(b) and returns the resulting bytes as a Hash. +// 2 round of NewLegacyKeccak512 +// 1 round of NewQitmeerKeccak256 +func HashMeerXKeccakV1(input []byte) Hash { + // input length 117 bytes + h1 := qitmeerSha3.NewLegacyKeccak512() + // first round + h1.Write(input) + // result length 64 bytes + input = h1.Sum(nil) + // second round + h2 := qitmeerSha3.NewLegacyKeccak512() + h2.Write(input) + // result length 64 bytes + input = h2.Sum(nil) + // Attention + // hash result first byte ^1 + // specialized processing + // Prevent compatibility of existing ASIC + input[0] ^= 1 + // third round + h3 := qitmeerSha3.NewQitmeerKeccak256() + // result length 32 bytes + h3.Write(input) + r := h3.Sum(nil) + hashR := [32]byte{} + copy(hashR[:32], r[:32]) + return hashR +} diff --git a/common/hash/hashfuncs_pool.go b/common/hash/hashfuncs_pool.go new file mode 100644 index 0000000..e841af8 --- /dev/null +++ b/common/hash/hashfuncs_pool.go @@ -0,0 +1,73 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package hash + +import ( + "golang.org/x/crypto/blake2b" + "hash" + "sync" +) + +// Warning !!!: Testing only, don't use it in the production +// +// attempt to use 'sync.Pool' to cache hasher +// +// References +// https://github.com/ethereum/go-ethereum/blob/master/trie/hasher.go +// +// Basically, sync.Pool reuses allocations between garbage collection cycles, +// so that you don’t have to allocate another object. +// Each time a garbage collection cycle starts, it clears items out of the pool. +// +// TODO revisit cached hasher in sync.pool + +var pool = &sync.Pool{New: func() interface{} { + h, err := blake2b.New256(nil) + if err != nil { + panic(err) + } + h.Reset() + return h +}} + +func getFromPool() hash.Hash { + return pool.Get().(hash.Hash) +} + +func putToPool(h hash.Hash) { + h.Reset() + pool.Put(h) +} + +// using pool +func HashB_pool(b []byte) []byte { + cached := getFromPool() + defer putToPool(cached) + cached.Write(b) + h := cached.Sum(nil) + cached.Reset() + return h[:] +} + +func HashH_pool(b []byte) Hash { + var h [32]byte + copy(h[:], HashB(b)) + return Hash(h) +} + +func DoubleHashH_pool(b []byte) Hash { + var h [32]byte + copy(h[:], DoubleHashB_pool(b)) + return Hash(h) +} + +func DoubleHashB_pool(b []byte) []byte { + cached := getFromPool() + defer putToPool(cached) + cached.Write(b) + first := cached.Sum(nil) + cached.Reset() + cached.Write(first) + second := cached.Sum(nil) + return second[:] +} diff --git a/common/hash/hashfuncs_qitmeer_crypto_night.go b/common/hash/hashfuncs_qitmeer_crypto_night.go new file mode 100644 index 0000000..4a5e6e3 --- /dev/null +++ b/common/hash/hashfuncs_qitmeer_crypto_night.go @@ -0,0 +1,14 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package hash + +import ( + "github.com/Qitmeer/crypto/cryptonight" +) + +// CryptoNight calculates hash(b) and returns the resulting bytes as a Hash. +func HashCryptoNight(b []byte) Hash { + h := cryptonight.Sum(b, 2) + hashR := [32]byte{} + copy(hashR[:32], h[:32]) + return Hash(hashR) +} diff --git a/common/hash/hashfuncs_qitmeer_keccak256.go b/common/hash/hashfuncs_qitmeer_keccak256.go new file mode 100644 index 0000000..c3eb7a9 --- /dev/null +++ b/common/hash/hashfuncs_qitmeer_keccak256.go @@ -0,0 +1,16 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package hash + +import ( + qitmeerSha3 "github.com/Qitmeer/crypto/sha3" +) + +// Qitmeer Keccak256 calculates hash(b) and returns the resulting bytes as a Hash. +func HashQitmeerKeccak256(b []byte) Hash { + h := qitmeerSha3.NewQitmeerKeccak256() + h.Write(b) + r := h.Sum(nil) + hashR := [32]byte{} + copy(hashR[:32], r[:32]) + return Hash(hashR) +} diff --git a/common/marshal/marshal.go b/common/marshal/marshal.go new file mode 100644 index 0000000..67ed2c9 --- /dev/null +++ b/common/marshal/marshal.go @@ -0,0 +1,326 @@ +package marshal + +import ( + "bytes" + "encoding/hex" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/blockchain/opreturn" + "github.com/Qitmeer/qng-core/core/json" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/engine/txscript" + "github.com/Qitmeer/qng-core/params" + "strconv" + "time" +) + +// messageToHex serializes a message to the wire protocol encoding using the +// latest protocol version and returns a hex-encoded string of the result. +func MessageToHex(tx *types.Transaction) (string, error) { + var buf bytes.Buffer + err := tx.Encode(&buf, protocol.ProtocolVersion, types.TxSerializeFull) + if err != nil { + context := fmt.Sprintf("Failed to encode msg of type %T", tx) + return "", fmt.Errorf("%s : %s", context, err.Error()) + } + + return hex.EncodeToString(buf.Bytes()), nil +} + +func MarshalJsonTx(tx *types.Tx, params *params.Params, blkHashStr string, + confirmations int64, coinbaseAmout types.AmountMap, state bool) (json.TxRawResult, error) { + if tx == nil { + return json.TxRawResult{}, errors.New("can't marshal nil transaction") + } + return MarshalJsonTransaction(tx, params, blkHashStr, confirmations, coinbaseAmout, state) +} + +func MarshalJsonTransaction(transaction *types.Tx, params *params.Params, blkHashStr string, + confirmations int64, coinbaseAmout types.AmountMap, state bool) (json.TxRawResult, error) { + tx := transaction.Tx + hexStr, err := MessageToHex(tx) + if err != nil { + return json.TxRawResult{}, err + } + txr := json.TxRawResult{ + Hex: hexStr, + Txid: tx.TxHash().String(), + TxHash: tx.TxHashFull().String(), + Size: int32(tx.SerializeSize()), + Version: tx.Version, + LockTime: tx.LockTime, + Expire: tx.Expire, + Vin: MarshJsonVin(tx), + Duplicate: transaction.IsDuplicate, + Txsvalid: state, + } + if tx.Timestamp.Unix() > 0 { + txr.Timestamp = tx.Timestamp.Format(time.RFC3339) + } + if tx.IsCoinBase() { + txr.Vout = MarshJsonCoinbaseVout(tx, nil, params, coinbaseAmout) + } else { + txr.Vout = MarshJsonVout(tx, nil, params) + } + if blkHashStr != "" { + txr.BlockHash = blkHashStr + txr.Confirmations = confirmations + } + return txr, nil +} + +func MarshJsonVin(tx *types.Transaction) []json.Vin { + // Coinbase transactions only have a single txin by definition. + vinList := make([]json.Vin, len(tx.TxIn)) + if tx.IsCoinBase() { + txIn := tx.TxIn[0] + vinEntry := &vinList[0] + vinEntry.Coinbase = hex.EncodeToString(txIn.SignScript) + vinEntry.Sequence = txIn.Sequence + return vinList + } else if types.IsTokenTx(tx) { + for i, txIn := range tx.TxIn { + disbuf, _ := txscript.DisasmString(txIn.SignScript) + + vinEntry := &vinList[i] + if i == 0 { + vinEntry.TxType = types.DetermineTxType(tx).String() + } else { + vinEntry.Txid = txIn.PreviousOut.Hash.String() + vinEntry.Vout = txIn.PreviousOut.OutIndex + vinEntry.Sequence = txIn.Sequence + } + + vinEntry.ScriptSig = &json.ScriptSig{ + Asm: disbuf, + Hex: hex.EncodeToString(txIn.SignScript), + } + + } + } + + for i, txIn := range tx.TxIn { + // The disassembled string will contain [error] inline + // if the script doesn't fully parse, so ignore the + // error here. + disbuf, _ := txscript.DisasmString(txIn.SignScript) + + vinEntry := &vinList[i] + vinEntry.Txid = txIn.PreviousOut.Hash.String() + vinEntry.Vout = txIn.PreviousOut.OutIndex + vinEntry.Sequence = txIn.Sequence + vinEntry.ScriptSig = &json.ScriptSig{ + Asm: disbuf, + Hex: hex.EncodeToString(txIn.SignScript), + } + } + return vinList +} + +func MarshJsonVout(tx *types.Transaction, filterAddrMap map[string]struct{}, params *params.Params) []json.Vout { + voutList := make([]json.Vout, 0, len(tx.TxOut)) + for _, v := range tx.TxOut { + // The disassembled string will contain [error] inline if the + // script doesn't fully parse, so ignore the error here. + disbuf, _ := txscript.DisasmString(v.PkScript) + + // Ignore the error here since an error means the script + // couldn't parse and there is no additional information + // about it anyways. + sc, addrs, reqSigs, _ := txscript.ExtractPkScriptAddrs( + v.PkScript, params) + scriptClass := sc.String() + + // Encode the addresses while checking if the address passes the + // filter when needed. + passesFilter := len(filterAddrMap) == 0 + encodedAddrs := make([]string, len(addrs)) + for j, addr := range addrs { + encodedAddr := addr.Encode() + encodedAddrs[j] = encodedAddr + + // No need to check the map again if the filter already + // passes. + if passesFilter { + continue + } + if _, exists := filterAddrMap[encodedAddr]; exists { + passesFilter = true + } + } + + if !passesFilter { + continue + } + + var vout json.Vout + voutSPK := &vout.ScriptPubKey + vout.Coin = v.Amount.Id.Name() + vout.CoinId = uint16(v.Amount.Id) + vout.Amount = uint64(v.Amount.Value) + voutSPK.Addresses = encodedAddrs + voutSPK.Asm = disbuf + voutSPK.Hex = hex.EncodeToString(v.PkScript) + voutSPK.Type = scriptClass + voutSPK.ReqSigs = int32(reqSigs) + voutList = append(voutList, vout) + } + + return voutList +} + +func MarshJsonCoinbaseVout(tx *types.Transaction, filterAddrMap map[string]struct{}, params *params.Params, coinbaseAmout types.AmountMap) []json.Vout { + if len(coinbaseAmout) <= 0 || + tx.CachedTxHash().IsEqual(params.GenesisBlock.Transactions[0].CachedTxHash()) { + return MarshJsonVout(tx, filterAddrMap, params) + } + voutList := make([]json.Vout, 0, len(tx.TxOut)) + for k, v := range tx.TxOut { + isopr := opreturn.IsOPReturn(v.PkScript) + if k > 0 && coinbaseAmout[v.Amount.Id] <= 0 && !isopr { + continue + } + // The disassembled string will contain [error] inline if the + // script doesn't fully parse, so ignore the error here. + disbuf, _ := txscript.DisasmString(v.PkScript) + + // Ignore the error here since an error means the script + // couldn't parse and there is no additional information + // about it anyways. + sc, addrs, reqSigs, _ := txscript.ExtractPkScriptAddrs( + v.PkScript, params) + scriptClass := sc.String() + + // Encode the addresses while checking if the address passes the + // filter when needed. + passesFilter := len(filterAddrMap) == 0 + encodedAddrs := make([]string, len(addrs)) + for j, addr := range addrs { + encodedAddr := addr.Encode() + encodedAddrs[j] = encodedAddr + + // No need to check the map again if the filter already + // passes. + if passesFilter { + continue + } + if _, exists := filterAddrMap[encodedAddr]; exists { + passesFilter = true + } + } + + if !passesFilter { + continue + } + + var vout json.Vout + voutSPK := &vout.ScriptPubKey + if !isopr { + vout.Coin = v.Amount.Id.Name() + vout.CoinId = uint16(v.Amount.Id) + vout.Amount = uint64(coinbaseAmout[v.Amount.Id]) + voutSPK.Type = scriptClass + } else { + opr, err := opreturn.NewOPReturnFrom(v.PkScript) + if err != nil { + continue + } + voutSPK.Type = opr.GetType().Name() + } + + voutSPK.Addresses = encodedAddrs + voutSPK.Asm = disbuf + voutSPK.Hex = hex.EncodeToString(v.PkScript) + + voutSPK.ReqSigs = int32(reqSigs) + voutList = append(voutList, vout) + } + + return voutList +} + +// RPCMarshalBlock converts the given block to the RPC output which depends on fullTx. If inclTx is true transactions are +// returned. When fullTx is true the returned block contains full transaction details, otherwise it will only contain +// transaction hashes. +func MarshalJsonBlock(b *types.SerializedBlock, inclTx bool, fullTx bool, + params *params.Params, confirmations int64, children []*hash.Hash, state bool, isOrdered bool, coinbaseAmout types.AmountMap, coinbaseFee types.AmountMap) (json.OrderedResult, error) { + + head := b.Block().Header // copies the header once + // Get next block hash unless there are none. + fields := json.OrderedResult{ + {Key: "hash", Val: b.Hash().String()}, + {Key: "txsvalid", Val: state}, + {Key: "confirmations", Val: confirmations}, + {Key: "version", Val: head.Version}, + {Key: "weight", Val: types.GetBlockWeight(b.Block())}, + {Key: "height", Val: b.Height()}, + {Key: "txRoot", Val: head.TxRoot.String()}, + } + if isOrdered { + fields = append(fields, json.KV{Key: "order", Val: b.Order()}) + } + if inclTx { + formatTx := func(tx *types.Tx) (interface{}, error) { + return tx.Hash().String(), nil + } + if fullTx { + formatTx = func(tx *types.Tx) (interface{}, error) { + return MarshalJsonTx(tx, params, b.Hash().String(), confirmations, coinbaseAmout, state) + } + } + txs := b.Transactions() + transactions := make([]interface{}, len(txs)) + var err error + for i, tx := range txs { + if transactions[i], err = formatTx(tx); err != nil { + return nil, err + } + } + fields = append(fields, json.KV{Key: "transactions", Val: transactions}) + } + if coinbaseFee != nil { + fees := []json.Amout{} + for coinid, amount := range coinbaseFee { + if amount <= 0 { + continue + } + fees = append(fees, json.Amout{CoinId: uint16(coinid), Amount: amount}) + } + if len(fees) > 0 { + fields = append(fields, json.KV{Key: "transactionfee", Val: fees}) + } + } + fields = append(fields, json.OrderedResult{ + {Key: "stateRoot", Val: head.StateRoot.String()}, + {Key: "bits", Val: strconv.FormatUint(uint64(head.Difficulty), 16)}, + {Key: "difficulty", Val: head.Difficulty}, + {Key: "pow", Val: head.Pow.GetPowResult()}, + {Key: "timestamp", Val: head.Timestamp.Format(time.RFC3339)}, + {Key: "parentroot", Val: head.ParentRoot.String()}, + }...) + tempArr := []string{} + if b.Block().Parents != nil && len(b.Block().Parents) > 0 { + + for i := 0; i < len(b.Block().Parents); i++ { + tempArr = append(tempArr, b.Block().Parents[i].String()) + } + } else { + tempArr = append(tempArr, "null") + } + fields = append(fields, json.KV{Key: "parents", Val: tempArr}) + + tempArr = []string{} + if len(children) > 0 { + + for i := 0; i < len(children); i++ { + tempArr = append(tempArr, children[i].String()) + } + } else { + tempArr = append(tempArr, "null") + } + fields = append(fields, json.KV{Key: "children", Val: tempArr}) + + return fields, nil +} diff --git a/common/math/big.go b/common/math/big.go new file mode 100644 index 0000000..f9b927f --- /dev/null +++ b/common/math/big.go @@ -0,0 +1,204 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired & originated from +// http://github.com/ethereum/go-ethereum/common/math + +// Package math provides integer math utilities. +package math + +import ( + "fmt" + "math/big" +) + +// Various big integer limit values. +var ( + tt255 = BigPow(2, 255) + tt256 = BigPow(2, 256) + tt256m1 = new(big.Int).Sub(tt256, big.NewInt(1)) + tt63 = BigPow(2, 63) + MaxBig256 = new(big.Int).Set(tt256m1) + MaxBig63 = new(big.Int).Sub(tt63, big.NewInt(1)) +) + +const ( + // number of bits in a big.Word + wordBits = 32 << (uint64(^big.Word(0)) >> 63) + // number of bytes in a big.Word + wordBytes = wordBits / 8 +) + +// HexOrDecimal256 marshals big.Int as hex or decimal. +type HexOrDecimal256 big.Int + +// UnmarshalText implements encoding.TextUnmarshaler. +func (i *HexOrDecimal256) UnmarshalText(input []byte) error { + bigint, ok := ParseBig256(string(input)) + if !ok { + return fmt.Errorf("invalid hex or decimal integer %q", input) + } + *i = HexOrDecimal256(*bigint) + return nil +} + +// MarshalText implements encoding.TextMarshaler. +func (i *HexOrDecimal256) MarshalText() ([]byte, error) { + if i == nil { + return []byte("0x0"), nil + } + return []byte(fmt.Sprintf("%#x", (*big.Int)(i))), nil +} + +// ParseBig256 parses s as a 256 bit integer in decimal or hexadecimal syntax. +// Leading zeros are accepted. The empty string parses as zero. +func ParseBig256(s string) (*big.Int, bool) { + if s == "" { + return new(big.Int), true + } + var bigint *big.Int + var ok bool + if len(s) >= 2 && (s[:2] == "0x" || s[:2] == "0X") { + bigint, ok = new(big.Int).SetString(s[2:], 16) + } else { + bigint, ok = new(big.Int).SetString(s, 10) + } + if ok && bigint.BitLen() > 256 { + bigint, ok = nil, false + } + return bigint, ok +} + +// MustParseBig256 parses s as a 256 bit big integer and panics if the string is invalid. +func MustParseBig256(s string) *big.Int { + v, ok := ParseBig256(s) + if !ok { + panic("invalid 256 bit integer: " + s) + } + return v +} + +// BigPow returns a ** b as a big integer. +func BigPow(a, b int64) *big.Int { + r := big.NewInt(a) + return r.Exp(r, big.NewInt(b), nil) +} + +// BigMax returns the larger of x or y. +func BigMax(x, y *big.Int) *big.Int { + if x.Cmp(y) < 0 { + return y + } + return x +} + +// BigMin returns the smaller of x or y. +func BigMin(x, y *big.Int) *big.Int { + if x.Cmp(y) > 0 { + return y + } + return x +} + +// FirstBitSet returns the index of the first 1 bit in v, counting from LSB. +func FirstBitSet(v *big.Int) int { + for i := 0; i < v.BitLen(); i++ { + if v.Bit(i) > 0 { + return i + } + } + return v.BitLen() +} + +// PaddedBigBytes encodes a big integer as a big-endian byte slice. The length +// of the slice is at least n bytes. +func PaddedBigBytes(bigint *big.Int, n int) []byte { + if bigint.BitLen()/8 >= n { + return bigint.Bytes() + } + ret := make([]byte, n) + ReadBits(bigint, ret) + return ret +} + +// bigEndianByteAt returns the byte at position n, +// in Big-Endian encoding +// So n==0 returns the least significant byte +func bigEndianByteAt(bigint *big.Int, n int) byte { + words := bigint.Bits() + // Check word-bucket the byte will reside in + i := n / wordBytes + if i >= len(words) { + return byte(0) + } + word := words[i] + // Offset of the byte + shift := 8 * uint(n%wordBytes) + + return byte(word >> shift) +} + +// Byte returns the byte at position n, +// with the supplied padlength in Little-Endian encoding. +// n==0 returns the MSB +// Example: bigint '5', padlength 32, n=31 => 5 +func Byte(bigint *big.Int, padlength, n int) byte { + if n >= padlength { + return byte(0) + } + return bigEndianByteAt(bigint, padlength-1-n) +} + +// ReadBits encodes the absolute value of bigint as big-endian bytes. Callers must ensure +// that buf has enough space. If buf is too short the result will be incomplete. +func ReadBits(bigint *big.Int, buf []byte) { + i := len(buf) + for _, d := range bigint.Bits() { + for j := 0; j < wordBytes && i > 0; j++ { + i-- + buf[i] = byte(d) + d >>= 8 + } + } +} + +// U256 encodes as a 256 bit two's complement number. This operation is destructive. +func U256(x *big.Int) *big.Int { + return x.And(x, tt256m1) +} + +// S256 interprets x as a two's complement number. +// x must not exceed 256 bits (the result is undefined if it does) and is not modified. +// +// S256(0) = 0 +// S256(1) = 1 +// S256(2**255) = -2**255 +// S256(2**256-1) = -1 +func S256(x *big.Int) *big.Int { + if x.Cmp(tt255) < 0 { + return x + } + return new(big.Int).Sub(x, tt256) +} + +// Exp implements exponentiation by squaring. +// Exp returns a newly-allocated big integer and does not change +// base or exponent. The result is truncated to 256 bits. +// +// Courtesy @karalabe and @chfast +func Exp(base, exponent *big.Int) *big.Int { + result := big.NewInt(1) + + for _, word := range exponent.Bits() { + for i := 0; i < wordBits; i++ { + if word&1 == 1 { + U256(result.Mul(result, base)) + } + U256(base.Mul(base, base)) + word >>= 1 + } + } + return result +} diff --git a/common/math/big_test.go b/common/math/big_test.go new file mode 100644 index 0000000..f857de2 --- /dev/null +++ b/common/math/big_test.go @@ -0,0 +1,308 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired & originated from +// http://github.com/ethereum/go-ethereum/common/math + +package math + +import ( + "bytes" + "encoding/hex" + "github.com/Qitmeer/qng-core/common/util" + "math/big" + "testing" +) + +func TestHexOrDecimal256(t *testing.T) { + tests := []struct { + input string + num *big.Int + ok bool + }{ + {"", big.NewInt(0), true}, + {"0", big.NewInt(0), true}, + {"0x0", big.NewInt(0), true}, + {"12345678", big.NewInt(12345678), true}, + {"0x12345678", big.NewInt(0x12345678), true}, + {"0X12345678", big.NewInt(0x12345678), true}, + // Tests for leading zero behaviour: + {"0123456789", big.NewInt(123456789), true}, // note: not octal + {"00", big.NewInt(0), true}, + {"0x00", big.NewInt(0), true}, + {"0x012345678abc", big.NewInt(0x12345678abc), true}, + // Invalid syntax: + {"abcdef", nil, false}, + {"0xgg", nil, false}, + // Larger than 256 bits: + {"115792089237316195423570985008687907853269984665640564039457584007913129639936", nil, false}, + } + for _, test := range tests { + var num HexOrDecimal256 + err := num.UnmarshalText([]byte(test.input)) + if (err == nil) != test.ok { + t.Errorf("ParseBig(%q) -> (err == nil) == %t, want %t", test.input, err == nil, test.ok) + continue + } + if test.num != nil && (*big.Int)(&num).Cmp(test.num) != 0 { + t.Errorf("ParseBig(%q) -> %d, want %d", test.input, (*big.Int)(&num), test.num) + } + } +} + +func TestMustParseBig256(t *testing.T) { + defer func() { + if recover() == nil { + t.Error("MustParseBig should've panicked") + } + }() + MustParseBig256("ggg") +} + +func TestBigMax(t *testing.T) { + a := big.NewInt(10) + b := big.NewInt(5) + + max1 := BigMax(a, b) + if max1 != a { + t.Errorf("Expected %d got %d", a, max1) + } + + max2 := BigMax(b, a) + if max2 != a { + t.Errorf("Expected %d got %d", a, max2) + } +} + +func TestBigMin(t *testing.T) { + a := big.NewInt(10) + b := big.NewInt(5) + + min1 := BigMin(a, b) + if min1 != b { + t.Errorf("Expected %d got %d", b, min1) + } + + min2 := BigMin(b, a) + if min2 != b { + t.Errorf("Expected %d got %d", b, min2) + } +} + +func TestFirstBigSet(t *testing.T) { + tests := []struct { + num *big.Int + ix int + }{ + {big.NewInt(0), 0}, + {big.NewInt(1), 0}, + {big.NewInt(2), 1}, + {big.NewInt(0x100), 8}, + } + for _, test := range tests { + if ix := FirstBitSet(test.num); ix != test.ix { + t.Errorf("FirstBitSet(b%b) = %d, want %d", test.num, ix, test.ix) + } + } +} + +func TestPaddedBigBytes(t *testing.T) { + tests := []struct { + num *big.Int + n int + result []byte + }{ + {num: big.NewInt(0), n: 4, result: []byte{0, 0, 0, 0}}, + {num: big.NewInt(1), n: 4, result: []byte{0, 0, 0, 1}}, + {num: big.NewInt(512), n: 4, result: []byte{0, 0, 2, 0}}, + {num: BigPow(2, 32), n: 4, result: []byte{1, 0, 0, 0, 0}}, + } + for _, test := range tests { + if result := PaddedBigBytes(test.num, test.n); !bytes.Equal(result, test.result) { + t.Errorf("PaddedBigBytes(%d, %d) = %v, want %v", test.num, test.n, result, test.result) + } + } +} + +func BenchmarkPaddedBigBytesLargePadding(b *testing.B) { + bigint := MustParseBig256("123456789123456789123456789123456789") + for i := 0; i < b.N; i++ { + PaddedBigBytes(bigint, 200) + } +} + +func BenchmarkPaddedBigBytesSmallPadding(b *testing.B) { + bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") + for i := 0; i < b.N; i++ { + PaddedBigBytes(bigint, 5) + } +} + +func BenchmarkPaddedBigBytesSmallOnePadding(b *testing.B) { + bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") + for i := 0; i < b.N; i++ { + PaddedBigBytes(bigint, 32) + } +} + +func BenchmarkByteAtBrandNew(b *testing.B) { + bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") + for i := 0; i < b.N; i++ { + bigEndianByteAt(bigint, 15) + } +} + +func BenchmarkByteAt(b *testing.B) { + bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") + for i := 0; i < b.N; i++ { + bigEndianByteAt(bigint, 15) + } +} + +func BenchmarkByteAtOld(b *testing.B) { + + bigint := MustParseBig256("0x18F8F8F1000111000110011100222004330052300000000000000000FEFCF3CC") + for i := 0; i < b.N; i++ { + PaddedBigBytes(bigint, 32) + } +} + +func TestReadBits(t *testing.T) { + check := func(input string) { + want, _ := hex.DecodeString(input) + int, _ := new(big.Int).SetString(input, 16) + buf := make([]byte, len(want)) + ReadBits(int, buf) + if !bytes.Equal(buf, want) { + t.Errorf("have: %x\nwant: %x", buf, want) + } + } + check("000000000000000000000000000000000000000000000000000000FEFCF3F8F0") + check("0000000000012345000000000000000000000000000000000000FEFCF3F8F0") + check("18F8F8F1000111000110011100222004330052300000000000000000FEFCF3F8F0") +} + +func TestU256(t *testing.T) { + tests := []struct{ x, y *big.Int }{ + {x: big.NewInt(0), y: big.NewInt(0)}, + {x: big.NewInt(1), y: big.NewInt(1)}, + {x: BigPow(2, 255), y: BigPow(2, 255)}, + {x: BigPow(2, 256), y: big.NewInt(0)}, + {x: new(big.Int).Add(BigPow(2, 256), big.NewInt(1)), y: big.NewInt(1)}, + // negative values + {x: big.NewInt(-1), y: new(big.Int).Sub(BigPow(2, 256), big.NewInt(1))}, + {x: big.NewInt(-2), y: new(big.Int).Sub(BigPow(2, 256), big.NewInt(2))}, + {x: BigPow(2, -255), y: big.NewInt(1)}, + } + for _, test := range tests { + if y := U256(new(big.Int).Set(test.x)); y.Cmp(test.y) != 0 { + t.Errorf("U256(%x) = %x, want %x", test.x, y, test.y) + } + } +} + +func TestBigEndianByteAt(t *testing.T) { + tests := []struct { + x string + y int + exp byte + }{ + {"00", 0, 0x00}, + {"01", 1, 0x00}, + {"00", 1, 0x00}, + {"01", 0, 0x01}, + {"0000000000000000000000000000000000000000000000000000000000102030", 0, 0x30}, + {"0000000000000000000000000000000000000000000000000000000000102030", 1, 0x20}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 31, 0xAB}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 32, 0x00}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 500, 0x00}, + } + for _, test := range tests { + v := new(big.Int).SetBytes(util.MustHex2Bytes(test.x)) + actual := bigEndianByteAt(v, test.y) + if actual != test.exp { + t.Fatalf("Expected [%v] %v:th byte to be %v, was %v.", test.x, test.y, test.exp, actual) + } + + } +} +func TestLittleEndianByteAt(t *testing.T) { + tests := []struct { + x string + y int + exp byte + }{ + {"00", 0, 0x00}, + {"01", 1, 0x00}, + {"00", 1, 0x00}, + {"01", 0, 0x00}, + {"0000000000000000000000000000000000000000000000000000000000102030", 0, 0x00}, + {"0000000000000000000000000000000000000000000000000000000000102030", 1, 0x00}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 31, 0x00}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 32, 0x00}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 0, 0xAB}, + {"ABCDEF0908070605040302010000000000000000000000000000000000000000", 1, 0xCD}, + {"00CDEF090807060504030201ffffffffffffffffffffffffffffffffffffffff", 0, 0x00}, + {"00CDEF090807060504030201ffffffffffffffffffffffffffffffffffffffff", 1, 0xCD}, + {"0000000000000000000000000000000000000000000000000000000000102030", 31, 0x30}, + {"0000000000000000000000000000000000000000000000000000000000102030", 30, 0x20}, + {"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 32, 0x0}, + {"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 31, 0xFF}, + {"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", 0xFFFF, 0x0}, + } + for _, test := range tests { + v := new(big.Int).SetBytes(util.MustHex2Bytes(test.x)) + actual := Byte(v, 32, test.y) + if actual != test.exp { + t.Fatalf("Expected [%v] %v:th byte to be %v, was %v.", test.x, test.y, test.exp, actual) + } + + } +} + +func TestS256(t *testing.T) { + tests := []struct{ x, y *big.Int }{ + {x: big.NewInt(0), y: big.NewInt(0)}, + {x: big.NewInt(1), y: big.NewInt(1)}, + {x: big.NewInt(2), y: big.NewInt(2)}, + { + x: new(big.Int).Sub(BigPow(2, 255), big.NewInt(1)), + y: new(big.Int).Sub(BigPow(2, 255), big.NewInt(1)), + }, + { + x: BigPow(2, 255), + y: new(big.Int).Neg(BigPow(2, 255)), + }, + { + x: new(big.Int).Sub(BigPow(2, 256), big.NewInt(1)), + y: big.NewInt(-1), + }, + { + x: new(big.Int).Sub(BigPow(2, 256), big.NewInt(2)), + y: big.NewInt(-2), + }, + } + for _, test := range tests { + if y := S256(test.x); y.Cmp(test.y) != 0 { + t.Errorf("S256(%x) = %x, want %x", test.x, y, test.y) + } + } +} + +func TestExp(t *testing.T) { + tests := []struct{ base, exponent, result *big.Int }{ + {base: big.NewInt(0), exponent: big.NewInt(0), result: big.NewInt(1)}, + {base: big.NewInt(1), exponent: big.NewInt(0), result: big.NewInt(1)}, + {base: big.NewInt(1), exponent: big.NewInt(1), result: big.NewInt(1)}, + {base: big.NewInt(1), exponent: big.NewInt(2), result: big.NewInt(1)}, + {base: big.NewInt(3), exponent: big.NewInt(144), result: MustParseBig256("507528786056415600719754159741696356908742250191663887263627442114881")}, + {base: big.NewInt(2), exponent: big.NewInt(255), result: MustParseBig256("57896044618658097711785492504343953926634992332820282019728792003956564819968")}, + } + for _, test := range tests { + if result := Exp(test.base, test.exponent); result.Cmp(test.result) != 0 { + t.Errorf("Exp(%d, %d) = %d, want %d", test.base, test.exponent, result, test.result) + } + } +} diff --git a/common/math/integer.go b/common/math/integer.go new file mode 100644 index 0000000..8ea95e9 --- /dev/null +++ b/common/math/integer.go @@ -0,0 +1,91 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired & originated from +// http://github.com/ethereum/go-ethereum/common/math + +package math + +import ( + "fmt" + "strconv" +) + +// Integer limit values. +const ( + MaxInt8 = 1<<7 - 1 + MinInt8 = -1 << 7 + MaxInt16 = 1<<15 - 1 + MinInt16 = -1 << 15 + MaxInt32 = 1<<31 - 1 + MinInt32 = -1 << 31 + MaxInt64 = 1<<63 - 1 + MinInt64 = -1 << 63 + MaxUint8 = 1<<8 - 1 + MaxUint16 = 1<<16 - 1 + MaxUint32 = 1<<32 - 1 + MaxUint64 = 1<<64 - 1 +) + +// HexOrDecimal64 marshals uint64 as hex or decimal. +type HexOrDecimal64 uint64 + +// UnmarshalText implements encoding.TextUnmarshaler. +func (i *HexOrDecimal64) UnmarshalText(input []byte) error { + int, ok := ParseUint64(string(input)) + if !ok { + return fmt.Errorf("invalid hex or decimal integer %q", input) + } + *i = HexOrDecimal64(int) + return nil +} + +// MarshalText implements encoding.TextMarshaler. +func (i HexOrDecimal64) MarshalText() ([]byte, error) { + return []byte(fmt.Sprintf("%#x", uint64(i))), nil +} + +// ParseUint64 parses s as an integer in decimal or hexadecimal syntax. +// Leading zeros are accepted. The empty string parses as zero. +func ParseUint64(s string) (uint64, bool) { + if s == "" { + return 0, true + } + if len(s) >= 2 && (s[:2] == "0x" || s[:2] == "0X") { + v, err := strconv.ParseUint(s[2:], 16, 64) + return v, err == nil + } + v, err := strconv.ParseUint(s, 10, 64) + return v, err == nil +} + +// MustParseUint64 parses s as an integer and panics if the string is invalid. +func MustParseUint64(s string) uint64 { + v, ok := ParseUint64(s) + if !ok { + panic("invalid unsigned 64 bit integer: " + s) + } + return v +} + +// NOTE: The following methods need to be optimised using either bit checking or asm + +// SafeSub returns subtraction result and whether overflow occurred. +func SafeSub(x, y uint64) (uint64, bool) { + return x - y, x < y +} + +// SafeAdd returns the result and whether overflow occurred. +func SafeAdd(x, y uint64) (uint64, bool) { + return x + y, y > MaxUint64-x +} + +// SafeMul returns multiplication result and whether overflow occurred. +func SafeMul(x, y uint64) (uint64, bool) { + if x == 0 || y == 0 { + return 0, false + } + return x * y, y > MaxUint64/x +} diff --git a/common/math/integer_test.go b/common/math/integer_test.go new file mode 100644 index 0000000..125262d --- /dev/null +++ b/common/math/integer_test.go @@ -0,0 +1,108 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired & originated from +// http://github.com/ethereum/go-ethereum/common/math + +package math + +import ( + "testing" +) + +type operation byte + +const ( + sub operation = iota + add + mul +) + +func TestOverflow(t *testing.T) { + for i, test := range []struct { + x uint64 + y uint64 + overflow bool + op operation + }{ + // add operations + {MaxUint64, 1, true, add}, + {MaxUint64 - 1, 1, false, add}, + + // sub operations + {0, 1, true, sub}, + {0, 0, false, sub}, + + // mul operations + {0, 0, false, mul}, + {10, 10, false, mul}, + {MaxUint64, 2, true, mul}, + {MaxUint64, 1, false, mul}, + } { + var overflows bool + switch test.op { + case sub: + _, overflows = SafeSub(test.x, test.y) + case add: + _, overflows = SafeAdd(test.x, test.y) + case mul: + _, overflows = SafeMul(test.x, test.y) + } + + if test.overflow != overflows { + t.Errorf("%d failed. Expected test to be %v, got %v", i, test.overflow, overflows) + } + } +} + +func TestHexOrDecimal64(t *testing.T) { + tests := []struct { + input string + num uint64 + ok bool + }{ + {"", 0, true}, + {"0", 0, true}, + {"0x0", 0, true}, + {"12345678", 12345678, true}, + {"0x12345678", 0x12345678, true}, + {"0X12345678", 0x12345678, true}, + // Tests for leading zero behaviour: + {"0123456789", 123456789, true}, // note: not octal + {"0x00", 0, true}, + {"0x012345678abc", 0x12345678abc, true}, + // Invalid syntax: + {"abcdef", 0, false}, + {"0xgg", 0, false}, + // Doesn't fit into 64 bits: + {"18446744073709551617", 0, false}, + } + for _, test := range tests { + var num HexOrDecimal64 + err := num.UnmarshalText([]byte(test.input)) + if (err == nil) != test.ok { + t.Errorf("ParseUint64(%q) -> (err == nil) = %t, want %t", test.input, err == nil, test.ok) + continue + } + if err == nil && uint64(num) != test.num { + t.Errorf("ParseUint64(%q) -> %d, want %d", test.input, num, test.num) + } + } +} + +func TestMustParseUint64(t *testing.T) { + if v := MustParseUint64("12345"); v != 12345 { + t.Errorf(`MustParseUint64("12345") = %d, want 12345`, v) + } +} + +func TestMustParseUint64Panic(t *testing.T) { + defer func() { + if recover() == nil { + t.Error("MustParseBig should've panicked") + } + }() + MustParseUint64("ggg") +} diff --git a/common/mclock/mclock.go b/common/mclock/mclock.go new file mode 100644 index 0000000..3aca257 --- /dev/null +++ b/common/mclock/mclock.go @@ -0,0 +1,123 @@ +// Copyright 2016 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +// Package mclock is a wrapper for a monotonic clock source +package mclock + +import ( + "time" + + "github.com/aristanetworks/goarista/monotime" +) + +// AbsTime represents absolute monotonic time. +type AbsTime time.Duration + +// Now returns the current absolute monotonic time. +func Now() AbsTime { + return AbsTime(monotime.Now()) +} + +// Add returns t + d as absolute time. +func (t AbsTime) Add(d time.Duration) AbsTime { + return t + AbsTime(d) +} + +// Sub returns t - t2 as a duration. +func (t AbsTime) Sub(t2 AbsTime) time.Duration { + return time.Duration(t - t2) +} + +// The Clock interface makes it possible to replace the monotonic system clock with +// a simulated clock. +type Clock interface { + Now() AbsTime + Sleep(time.Duration) + NewTimer(time.Duration) ChanTimer + After(time.Duration) <-chan AbsTime + AfterFunc(d time.Duration, f func()) Timer +} + +// Timer is a cancellable event created by AfterFunc. +type Timer interface { + // Stop cancels the timer. It returns false if the timer has already + // expired or been stopped. + Stop() bool +} + +// ChanTimer is a cancellable event created by NewTimer. +type ChanTimer interface { + Timer + + // The channel returned by C receives a value when the timer expires. + C() <-chan AbsTime + // Reset reschedules the timer with a new timeout. + // It should be invoked only on stopped or expired timers with drained channels. + Reset(time.Duration) +} + +// System implements Clock using the system clock. +type System struct{} + +// Now returns the current monotonic time. +func (c System) Now() AbsTime { + return AbsTime(monotime.Now()) +} + +// Sleep blocks for the given duration. +func (c System) Sleep(d time.Duration) { + time.Sleep(d) +} + +// NewTimer creates a timer which can be rescheduled. +func (c System) NewTimer(d time.Duration) ChanTimer { + ch := make(chan AbsTime, 1) + t := time.AfterFunc(d, func() { + // This send is non-blocking because that's how time.Timer + // behaves. It doesn't matter in the happy case, but does + // when Reset is misused. + select { + case ch <- c.Now(): + default: + } + }) + return &systemTimer{t, ch} +} + +// After returns a channel which receives the current time after d has elapsed. +func (c System) After(d time.Duration) <-chan AbsTime { + ch := make(chan AbsTime, 1) + time.AfterFunc(d, func() { ch <- c.Now() }) + return ch +} + +// AfterFunc runs f on a new goroutine after the duration has elapsed. +func (c System) AfterFunc(d time.Duration, f func()) Timer { + return time.AfterFunc(d, f) +} + +type systemTimer struct { + *time.Timer + ch <-chan AbsTime +} + +func (st *systemTimer) Reset(d time.Duration) { + st.Timer.Reset(d) +} + +func (st *systemTimer) C() <-chan AbsTime { + return st.ch +} diff --git a/common/mclock/simclock.go b/common/mclock/simclock.go new file mode 100644 index 0000000..766ca0f --- /dev/null +++ b/common/mclock/simclock.go @@ -0,0 +1,209 @@ +// Copyright 2018 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package mclock + +import ( + "container/heap" + "sync" + "time" +) + +// Simulated implements a virtual Clock for reproducible time-sensitive tests. It +// simulates a scheduler on a virtual timescale where actual processing takes zero time. +// +// The virtual clock doesn't advance on its own, call Run to advance it and execute timers. +// Since there is no way to influence the Go scheduler, testing timeout behaviour involving +// goroutines needs special care. A good way to test such timeouts is as follows: First +// perform the action that is supposed to time out. Ensure that the timer you want to test +// is created. Then run the clock until after the timeout. Finally observe the effect of +// the timeout using a channel or semaphore. +type Simulated struct { + now AbsTime + scheduled simTimerHeap + mu sync.RWMutex + cond *sync.Cond +} + +// simTimer implements ChanTimer on the virtual clock. +type simTimer struct { + at AbsTime + index int // position in s.scheduled + s *Simulated + do func() + ch <-chan AbsTime +} + +func (s *Simulated) init() { + if s.cond == nil { + s.cond = sync.NewCond(&s.mu) + } +} + +// Run moves the clock by the given duration, executing all timers before that duration. +func (s *Simulated) Run(d time.Duration) { + s.mu.Lock() + s.init() + + end := s.now + AbsTime(d) + var do []func() + for len(s.scheduled) > 0 && s.scheduled[0].at <= end { + ev := heap.Pop(&s.scheduled).(*simTimer) + do = append(do, ev.do) + } + s.now = end + s.mu.Unlock() + + for _, fn := range do { + fn() + } +} + +// ActiveTimers returns the number of timers that haven't fired. +func (s *Simulated) ActiveTimers() int { + s.mu.RLock() + defer s.mu.RUnlock() + + return len(s.scheduled) +} + +// WaitForTimers waits until the clock has at least n scheduled timers. +func (s *Simulated) WaitForTimers(n int) { + s.mu.Lock() + defer s.mu.Unlock() + s.init() + + for len(s.scheduled) < n { + s.cond.Wait() + } +} + +// Now returns the current virtual time. +func (s *Simulated) Now() AbsTime { + s.mu.RLock() + defer s.mu.RUnlock() + + return s.now +} + +// Sleep blocks until the clock has advanced by d. +func (s *Simulated) Sleep(d time.Duration) { + <-s.After(d) +} + +// NewTimer creates a timer which fires when the clock has advanced by d. +func (s *Simulated) NewTimer(d time.Duration) ChanTimer { + s.mu.Lock() + defer s.mu.Unlock() + + ch := make(chan AbsTime, 1) + var timer *simTimer + timer = s.schedule(d, func() { ch <- timer.at }) + timer.ch = ch + return timer +} + +// After returns a channel which receives the current time after the clock +// has advanced by d. +func (s *Simulated) After(d time.Duration) <-chan AbsTime { + return s.NewTimer(d).C() +} + +// AfterFunc runs fn after the clock has advanced by d. Unlike with the system +// clock, fn runs on the goroutine that calls Run. +func (s *Simulated) AfterFunc(d time.Duration, fn func()) Timer { + s.mu.Lock() + defer s.mu.Unlock() + + return s.schedule(d, fn) +} + +func (s *Simulated) schedule(d time.Duration, fn func()) *simTimer { + s.init() + + at := s.now + AbsTime(d) + ev := &simTimer{do: fn, at: at, s: s} + heap.Push(&s.scheduled, ev) + s.cond.Broadcast() + return ev +} + +func (ev *simTimer) Stop() bool { + ev.s.mu.Lock() + defer ev.s.mu.Unlock() + + if ev.index < 0 { + return false + } + heap.Remove(&ev.s.scheduled, ev.index) + ev.s.cond.Broadcast() + ev.index = -1 + return true +} + +func (ev *simTimer) Reset(d time.Duration) { + if ev.ch == nil { + panic("mclock: Reset() on timer created by AfterFunc") + } + + ev.s.mu.Lock() + defer ev.s.mu.Unlock() + ev.at = ev.s.now.Add(d) + if ev.index < 0 { + heap.Push(&ev.s.scheduled, ev) // already expired + } else { + heap.Fix(&ev.s.scheduled, ev.index) // hasn't fired yet, reschedule + } + ev.s.cond.Broadcast() +} + +func (ev *simTimer) C() <-chan AbsTime { + if ev.ch == nil { + panic("mclock: C() on timer created by AfterFunc") + } + return ev.ch +} + +type simTimerHeap []*simTimer + +func (h *simTimerHeap) Len() int { + return len(*h) +} + +func (h *simTimerHeap) Less(i, j int) bool { + return (*h)[i].at < (*h)[j].at +} + +func (h *simTimerHeap) Swap(i, j int) { + (*h)[i], (*h)[j] = (*h)[j], (*h)[i] + (*h)[i].index = i + (*h)[j].index = j +} + +func (h *simTimerHeap) Push(x interface{}) { + t := x.(*simTimer) + t.index = len(*h) + *h = append(*h, t) +} + +func (h *simTimerHeap) Pop() interface{} { + end := len(*h) - 1 + t := (*h)[end] + t.index = -1 + (*h)[end] = nil + *h = (*h)[:end] + return t +} diff --git a/common/mclock/simclock_test.go b/common/mclock/simclock_test.go new file mode 100644 index 0000000..48f3fd5 --- /dev/null +++ b/common/mclock/simclock_test.go @@ -0,0 +1,162 @@ +// Copyright 2018 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package mclock + +import ( + "testing" + "time" +) + +var _ Clock = System{} +var _ Clock = new(Simulated) + +func TestSimulatedAfter(t *testing.T) { + var ( + timeout = 30 * time.Minute + offset = 99 * time.Hour + adv = 11 * time.Minute + c Simulated + ) + c.Run(offset) + + end := c.Now().Add(timeout) + ch := c.After(timeout) + for c.Now() < end.Add(-adv) { + c.Run(adv) + select { + case <-ch: + t.Fatal("Timer fired early") + default: + } + } + + c.Run(adv) + select { + case stamp := <-ch: + want := AbsTime(0).Add(offset).Add(timeout) + if stamp != want { + t.Errorf("Wrong time sent on timer channel: got %v, want %v", stamp, want) + } + default: + t.Fatal("Timer didn't fire") + } +} + +func TestSimulatedAfterFunc(t *testing.T) { + var c Simulated + + called1 := false + timer1 := c.AfterFunc(100*time.Millisecond, func() { called1 = true }) + if c.ActiveTimers() != 1 { + t.Fatalf("%d active timers, want one", c.ActiveTimers()) + } + if fired := timer1.Stop(); !fired { + t.Fatal("Stop returned false even though timer didn't fire") + } + if c.ActiveTimers() != 0 { + t.Fatalf("%d active timers, want zero", c.ActiveTimers()) + } + if called1 { + t.Fatal("timer 1 called") + } + if fired := timer1.Stop(); fired { + t.Fatal("Stop returned true after timer was already stopped") + } + + called2 := false + timer2 := c.AfterFunc(100*time.Millisecond, func() { called2 = true }) + c.Run(50 * time.Millisecond) + if called2 { + t.Fatal("timer 2 called") + } + c.Run(51 * time.Millisecond) + if !called2 { + t.Fatal("timer 2 not called") + } + if fired := timer2.Stop(); fired { + t.Fatal("Stop returned true after timer has fired") + } +} + +func TestSimulatedSleep(t *testing.T) { + var ( + c Simulated + timeout = 1 * time.Hour + done = make(chan AbsTime, 1) + ) + go func() { + c.Sleep(timeout) + done <- c.Now() + }() + + c.WaitForTimers(1) + c.Run(2 * timeout) + select { + case stamp := <-done: + want := AbsTime(2 * timeout) + if stamp != want { + t.Errorf("Wrong time after sleep: got %v, want %v", stamp, want) + } + case <-time.After(5 * time.Second): + t.Fatal("Sleep didn't return in time") + } +} + +func TestSimulatedTimerReset(t *testing.T) { + var ( + c Simulated + timeout = 1 * time.Hour + ) + timer := c.NewTimer(timeout) + c.Run(2 * timeout) + select { + case ftime := <-timer.C(): + if ftime != AbsTime(timeout) { + t.Fatalf("wrong time %v sent on timer channel, want %v", ftime, AbsTime(timeout)) + } + default: + t.Fatal("timer didn't fire") + } + + timer.Reset(timeout) + c.Run(2 * timeout) + select { + case ftime := <-timer.C(): + if ftime != AbsTime(3*timeout) { + t.Fatalf("wrong time %v sent on timer channel, want %v", ftime, AbsTime(3*timeout)) + } + default: + t.Fatal("timer didn't fire again") + } +} + +func TestSimulatedTimerStop(t *testing.T) { + var ( + c Simulated + timeout = 1 * time.Hour + ) + timer := c.NewTimer(timeout) + c.Run(2 * timeout) + if timer.Stop() { + t.Errorf("Stop returned true for fired timer") + } + select { + case <-timer.C(): + default: + t.Fatal("timer didn't fire") + } +} diff --git a/common/network/net.go b/common/network/net.go new file mode 100644 index 0000000..e810b6b --- /dev/null +++ b/common/network/net.go @@ -0,0 +1,71 @@ +// Copyright 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Copyright (c) 2013-2014 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package network + +import ( + "fmt" + "net" + "runtime" + "strings" +) + +type ListenAddr struct { + net, addr string +} + +func (a ListenAddr) String() string { + return a.addr +} + +func (a ListenAddr) Network() string { + return a.net +} + +// parseListeners splits the list of listen addresses passed in addrs into +// IPv4 and IPv6 slices and returns them. This allows easy creation of the +// listeners on the correct interface "tcp4" and "tcp6". It also properly +// detects addresses which apply to "all interfaces" and adds the address to +// both slices. +func ParseListeners(addrs []string) ([]net.Addr, error) { + netAddrs := make([]net.Addr, 0, len(addrs)*2) + for _, addr := range addrs { + host, _, err := net.SplitHostPort(addr) + if err != nil { + // Shouldn't happen due to already being normalized. + return nil, err + } + + // Empty host or host of * on plan9 is both IPv4 and IPv6. + if host == "" || (host == "*" && runtime.GOOS == "plan9") { + netAddrs = append(netAddrs, ListenAddr{net: "tcp4", addr: addr}) + netAddrs = append(netAddrs, ListenAddr{net: "tcp6", addr: addr}) + continue + } + + // Strip IPv6 zone id if present since net.ParseIP does not + // handle it. + zoneIndex := strings.LastIndex(host, "%") + if zoneIndex > 0 { + host = host[:zoneIndex] + } + + // Parse the IP. + ip := net.ParseIP(host) + if ip == nil { + return nil, fmt.Errorf("'%s' is not a valid IP address", host) + } + + // To4 returns nil when the IP is not an IPv4 address, so use + // this determine the address type. + if ip.To4() == nil { + netAddrs = append(netAddrs, ListenAddr{net: "tcp6", addr: addr}) + } else { + netAddrs = append(netAddrs, ListenAddr{net: "tcp4", addr: addr}) + } + } + return netAddrs, nil +} diff --git a/common/network/socket.go b/common/network/socket.go new file mode 100644 index 0000000..bdd2cae --- /dev/null +++ b/common/network/socket.go @@ -0,0 +1,329 @@ +// Copyright 2012 Samuel Stauffer. All rights reserved. +// Use of this source code is governed by a 3-clause BSD +// license that can be found in the LICENSE file. + +package network + +/* +Current limitations: + + - GSS-API authentication is not supported + - only SOCKS version 5 is supported + - TCP bind and UDP not yet supported + +Example http client over SOCKS5: + + proxy := &socks.Proxy{"127.0.0.1:1080"} + tr := &http.Transport{ + Dial: proxy.Dial, + } + client := &http.Client{Transport: tr} + resp, err := client.Get("https://example.com") +*/ + +import ( + "crypto/rand" + "encoding/hex" + "errors" + "fmt" + "io" + "net" + "strconv" + "time" +) + +type ProxiedAddr struct { + Net string + Host string + Port int +} + +func (a *ProxiedAddr) Network() string { + return a.Net +} + +func (a *ProxiedAddr) String() string { + return fmt.Sprintf("%s:%d", a.Host, a.Port) +} + +type proxiedConn struct { + conn net.Conn + remoteAddr *ProxiedAddr + boundAddr *ProxiedAddr +} + +func (c *proxiedConn) Read(b []byte) (int, error) { + return c.conn.Read(b) +} + +func (c *proxiedConn) Write(b []byte) (int, error) { + return c.conn.Write(b) +} + +func (c *proxiedConn) Close() error { + return c.conn.Close() +} + +func (c *proxiedConn) LocalAddr() net.Addr { + if c.boundAddr != nil { + return c.boundAddr + } + return c.conn.LocalAddr() +} + +func (c *proxiedConn) RemoteAddr() net.Addr { + if c.remoteAddr != nil { + return c.remoteAddr + } + return c.conn.RemoteAddr() +} + +func (c *proxiedConn) SetDeadline(t time.Time) error { + return c.conn.SetDeadline(t) +} + +func (c *proxiedConn) SetReadDeadline(t time.Time) error { + return c.conn.SetReadDeadline(t) +} + +func (c *proxiedConn) SetWriteDeadline(t time.Time) error { + return c.conn.SetWriteDeadline(t) +} + +const ( + protocolVersion = 5 + + defaultPort = 1080 + + authNone = 0 + authGssApi = 1 + authUsernamePassword = 2 + authUnavailable = 0xff + + commandTcpConnect = 1 + commandTcpBind = 2 + commandUdpAssociate = 3 + + addressTypeIPv4 = 1 + addressTypeDomain = 3 + addressTypeIPv6 = 4 + + statusRequestGranted = 0 + statusGeneralFailure = 1 + statusConnectionNotAllowed = 2 + statusNetworkUnreachable = 3 + statusHostUnreachable = 4 + statusConnectionRefused = 5 + statusTtlExpired = 6 + statusCommandNotSupport = 7 + statusAddressTypeNotSupported = 8 +) + +var ( + ErrAuthFailed = errors.New("authentication failed") + ErrInvalidProxyResponse = errors.New("invalid proxy response") + ErrNoAcceptableAuthMethod = errors.New("no acceptable authentication method") + + statusErrors = map[byte]error{ + statusGeneralFailure: errors.New("general failure"), + statusConnectionNotAllowed: errors.New("connection not allowed by ruleset"), + statusNetworkUnreachable: errors.New("network unreachable"), + statusHostUnreachable: errors.New("host unreachable"), + statusConnectionRefused: errors.New("connection refused by destination host"), + statusTtlExpired: errors.New("TTL expired"), + statusCommandNotSupport: errors.New("command not supported / protocol error"), + statusAddressTypeNotSupported: errors.New("address type not supported"), + } +) + +type Proxy struct { + Addr string + Username string + Password string + TorIsolation bool +} + +func (p *Proxy) Dial(network, addr string) (net.Conn, error) { + return p.dial(network, addr, 0) +} + +func (p *Proxy) DialTimeout(network, addr string, timeout time.Duration) (net.Conn, error) { + return p.dial(network, addr, timeout) +} + +func (p *Proxy) dial(network, addr string, timeout time.Duration) (net.Conn, error) { + host, strPort, err := net.SplitHostPort(addr) + if err != nil { + return nil, err + } + port, err := strconv.Atoi(strPort) + if err != nil { + return nil, err + } + + conn, err := net.DialTimeout("tcp", p.Addr, timeout) + if err != nil { + return nil, err + } + + var user, pass string + if p.TorIsolation { + var b [16]byte + _, err := io.ReadFull(rand.Reader, b[:]) + if err != nil { + conn.Close() + return nil, err + } + user = hex.EncodeToString(b[0:8]) + pass = hex.EncodeToString(b[8:16]) + } else { + user = p.Username + pass = p.Password + } + buf := make([]byte, 32+len(host)+len(user)+len(pass)) + + // Initial greeting + buf[0] = protocolVersion + if user != "" { + buf = buf[:4] + buf[1] = 2 // num auth methods + buf[2] = authNone + buf[3] = authUsernamePassword + } else { + buf = buf[:3] + buf[1] = 1 // num auth methods + buf[2] = authNone + } + + _, err = conn.Write(buf) + if err != nil { + conn.Close() + return nil, err + } + + // Server's auth choice + + if _, err := io.ReadFull(conn, buf[:2]); err != nil { + conn.Close() + return nil, err + } + if buf[0] != protocolVersion { + conn.Close() + return nil, ErrInvalidProxyResponse + } + err = nil + switch buf[1] { + default: + err = ErrInvalidProxyResponse + case authUnavailable: + err = ErrNoAcceptableAuthMethod + case authGssApi: + err = ErrNoAcceptableAuthMethod + case authUsernamePassword: + buf = buf[:3+len(user)+len(pass)] + buf[0] = 1 // version + buf[1] = byte(len(user)) + copy(buf[2:], user) + buf[2+len(user)] = byte(len(pass)) + copy(buf[3+len(user):], pass) + if _, err = conn.Write(buf); err != nil { + conn.Close() + return nil, err + } + if _, err = io.ReadFull(conn, buf[:2]); err != nil { + conn.Close() + return nil, err + } + if buf[0] != 1 { // version + err = ErrInvalidProxyResponse + } else if buf[1] != 0 { // 0 = succes, else auth failed + err = ErrAuthFailed + } + case authNone: + // Do nothing + } + if err != nil { + conn.Close() + return nil, err + } + + // Command / connection request + + buf = buf[:7+len(host)] + buf[0] = protocolVersion + buf[1] = commandTcpConnect + buf[2] = 0 // reserved + buf[3] = addressTypeDomain + buf[4] = byte(len(host)) + copy(buf[5:], host) + buf[5+len(host)] = byte(port >> 8) + buf[6+len(host)] = byte(port & 0xff) + if _, err := conn.Write(buf); err != nil { + conn.Close() + return nil, err + } + + // Server response + + if _, err := io.ReadFull(conn, buf[:4]); err != nil { + conn.Close() + return nil, err + } + + if buf[0] != protocolVersion { + conn.Close() + return nil, ErrInvalidProxyResponse + } + + if buf[1] != statusRequestGranted { + conn.Close() + err := statusErrors[buf[1]] + if err == nil { + err = ErrInvalidProxyResponse + } + return nil, err + } + + paddr := &ProxiedAddr{Net: network} + + switch buf[3] { + default: + conn.Close() + return nil, ErrInvalidProxyResponse + case addressTypeIPv4: + if _, err := io.ReadFull(conn, buf[:4]); err != nil { + conn.Close() + return nil, err + } + paddr.Host = net.IP(buf).String() + case addressTypeIPv6: + if _, err := io.ReadFull(conn, buf[:16]); err != nil { + conn.Close() + return nil, err + } + paddr.Host = net.IP(buf).String() + case addressTypeDomain: + if _, err := io.ReadFull(conn, buf[:1]); err != nil { + conn.Close() + return nil, err + } + domainLen := buf[0] + if _, err := io.ReadFull(conn, buf[:domainLen]); err != nil { + conn.Close() + return nil, err + } + paddr.Host = string(buf[:domainLen]) + } + + if _, err := io.ReadFull(conn, buf[:2]); err != nil { + conn.Close() + return nil, err + } + paddr.Port = int(buf[0])<<8 | int(buf[1]) + + return &proxiedConn{ + conn: conn, + boundAddr: paddr, + remoteAddr: &ProxiedAddr{network, host, port}, + }, nil +} diff --git a/common/prque/prque.go b/common/prque/prque.go new file mode 100755 index 0000000..e8e8c09 --- /dev/null +++ b/common/prque/prque.go @@ -0,0 +1,59 @@ +// This is a duplicated and slightly modified version of "gopkg.in/karalabe/cookiejar.v2/collections/prque". +// which is a generalised variant of prque that enables removing elements other +// than the top one from the queue. + +package prque + +import ( + "container/heap" +) + +// Priority queue data structure. +type Prque struct { + cont *sstack +} + +// Creates a new priority queue. +func New(setIndex setIndexCallback) *Prque { + return &Prque{newSstack(setIndex)} +} + +// Pushes a value with a given priority into the queue, expanding if necessary. +func (p *Prque) Push(data interface{}, priority int64) { + heap.Push(p.cont, &item{data, priority}) +} + +// Pops the value with the greates priority off the stack and returns it. +// Currently no shrinking is done. +func (p *Prque) Pop() (interface{}, int64) { + item := heap.Pop(p.cont).(*item) + return item.value, item.priority +} + +// Pops only the item from the queue, dropping the associated priority value. +func (p *Prque) PopItem() interface{} { + return heap.Pop(p.cont).(*item).value +} + +// Remove removes the element with the given index. +func (p *Prque) Remove(i int) interface{} { + if i < 0 { + return nil + } + return heap.Remove(p.cont, i) +} + +// Checks whether the priority queue is empty. +func (p *Prque) Empty() bool { + return p.cont.Len() == 0 +} + +// Returns the number of element in the priority queue. +func (p *Prque) Size() int { + return p.cont.Len() +} + +// Clears the contents of the priority queue. +func (p *Prque) Reset() { + *p = *New(p.cont.setIndex) +} diff --git a/common/prque/sstack.go b/common/prque/sstack.go new file mode 100755 index 0000000..426f523 --- /dev/null +++ b/common/prque/sstack.go @@ -0,0 +1,108 @@ +// This is a duplicated and slightly modified version of "gopkg.in/karalabe/cookiejar.v2/collections/prque". +// which is a generalised variant of prque that enables removing elements other +// than the top one from the queue. + +package prque + +// The size of a block of data +const blockSize = 4096 + +// A prioritized item in the sorted stack. +// +// Note: priorities can "wrap around" the int64 range, a comes before b if (a.priority - b.priority) > 0. +// The difference between the lowest and highest priorities in the queue at any point should be less than 2^63. +type item struct { + value interface{} + priority int64 +} + +// setIndexCallback is called when the element is moved to a new index. +// Providing setIndexCallback is optional, it is needed only if the application needs +// to delete elements other than the top one. +type setIndexCallback func(a interface{}, i int) + +// Internal sortable stack data structure. Implements the Push and Pop ops for +// the stack (heap) functionality and the Len, Less and Swap methods for the +// sortability requirements of the heaps. +type sstack struct { + setIndex setIndexCallback + size int + capacity int + offset int + + blocks [][]*item + active []*item +} + +// Creates a new, empty stack. +func newSstack(setIndex setIndexCallback) *sstack { + result := new(sstack) + result.setIndex = setIndex + result.active = make([]*item, blockSize) + result.blocks = [][]*item{result.active} + result.capacity = blockSize + return result +} + +// Pushes a value onto the stack, expanding it if necessary. Required by +// heap.Interface. +func (s *sstack) Push(data interface{}) { + if s.size == s.capacity { + s.active = make([]*item, blockSize) + s.blocks = append(s.blocks, s.active) + s.capacity += blockSize + s.offset = 0 + } else if s.offset == blockSize { + s.active = s.blocks[s.size/blockSize] + s.offset = 0 + } + if s.setIndex != nil { + s.setIndex(data.(*item).value, s.size) + } + s.active[s.offset] = data.(*item) + s.offset++ + s.size++ +} + +// Pops a value off the stack and returns it. Currently no shrinking is done. +// Required by heap.Interface. +func (s *sstack) Pop() (res interface{}) { + s.size-- + s.offset-- + if s.offset < 0 { + s.offset = blockSize - 1 + s.active = s.blocks[s.size/blockSize] + } + res, s.active[s.offset] = s.active[s.offset], nil + if s.setIndex != nil { + s.setIndex(res.(*item).value, -1) + } + return +} + +// Returns the length of the stack. Required by sort.Interface. +func (s *sstack) Len() int { + return s.size +} + +// Compares the priority of two elements of the stack (higher is first). +// Required by sort.Interface. +func (s *sstack) Less(i, j int) bool { + return (s.blocks[i/blockSize][i%blockSize].priority - s.blocks[j/blockSize][j%blockSize].priority) > 0 +} + +// Swaps two elements in the stack. Required by sort.Interface. +func (s *sstack) Swap(i, j int) { + ib, io, jb, jo := i/blockSize, i%blockSize, j/blockSize, j%blockSize + a, b := s.blocks[jb][jo], s.blocks[ib][io] + if s.setIndex != nil { + s.setIndex(a.value, i) + s.setIndex(b.value, j) + } + s.blocks[ib][io], s.blocks[jb][jo] = a, b +} + +// Resets the stack, effectively clearing its contents. +func (s *sstack) Reset() { + *s = *newSstack(s.setIndex) +} diff --git a/common/roughtime/roughtime.go b/common/roughtime/roughtime.go new file mode 100644 index 0000000..ded71e6 --- /dev/null +++ b/common/roughtime/roughtime.go @@ -0,0 +1,68 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package roughtime + +import ( + "log" + "time" + + rt "github.com/cloudflare/roughtime" +) + +const RecalibrationInterval = time.Hour + +var offset time.Duration + +func Init() { + log.Println("Init roughtime... ...") + recalibrateRoughtime() + runT := time.NewTimer(RecalibrationInterval) + go func() { + for { + select { + case <-runT.C: + recalibrateRoughtime() + } + } + }() +} + +func recalibrateRoughtime() { + t0 := time.Now() + results := rt.Do(rt.Ecosystem, rt.DefaultQueryAttempts, rt.DefaultQueryTimeout, nil) + // Compute the average difference between the system's time and the + // Roughtime responses from the servers, rejecting responses whose radii + // are larger than 2 seconds. + var err error + offset, err = rt.AvgDeltaWithRadiusThresh(results, t0, 2*time.Second) + if err != nil { + log.Printf("Failed to calculate roughtime offset, system time will be used by default.(%s)", err) + } else { + log.Printf("Roughtime offset:%s", offset) + } +} + +// Since returns the duration since t, based on the roughtime response +func Since(t time.Time) time.Duration { + return Now().Sub(t) +} + +// Until returns the duration until t, based on the roughtime response +func Until(t time.Time) time.Duration { + return t.Sub(Now()) +} + +// Now returns the current local time given the roughtime offset. +func Now() time.Time { + if offset <= 0 { + return time.Now() + } + return time.Now().Add(offset) +} + +func Offset() time.Duration { + return offset +} diff --git a/common/size.go b/common/size.go new file mode 100644 index 0000000..e57ed66 --- /dev/null +++ b/common/size.go @@ -0,0 +1,40 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired & originated from +// http://github.com/ethereum/go-ethereum/common/size.go + +package common + +import ( + "fmt" +) + +// StorageSize is a wrapper around a float value that supports user friendly +// formatting. +type StorageSize float64 + +// String implements the stringer interface. +func (s StorageSize) String() string { + if s > 1000000 { + return fmt.Sprintf("%.2f mB", s/1000000) + } else if s > 1000 { + return fmt.Sprintf("%.2f kB", s/1000) + } else { + return fmt.Sprintf("%.2f B", s) + } +} + +// TerminalString implements log.TerminalStringer, formatting a string for console +// output during logging. +func (s StorageSize) TerminalString() string { + if s > 1000000 { + return fmt.Sprintf("%.2fmB", s/1000000) + } else if s > 1000 { + return fmt.Sprintf("%.2fkB", s/1000) + } else { + return fmt.Sprintf("%.2fB", s) + } +} diff --git a/common/util/appdata.go b/common/util/appdata.go new file mode 100644 index 0000000..69b4622 --- /dev/null +++ b/common/util/appdata.go @@ -0,0 +1,107 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package util + +import ( + "os" + "os/user" + "path/filepath" + "runtime" + "strings" + "unicode" +) + +// appDataDir returns an operating system specific directory to be used for +// storing application data for an application. See AppDataDir for more +// details. This unexported version takes an operating system argument +// primarily to enable the testing package to properly test the function by +// forcing an operating system that is not the currently one. +func appDataDir(goos, appName string, roaming bool) string { + if appName == "" || appName == "." { + return "." + } + + // The caller really shouldn't prepend the appName with a period, but + // if they do, handle it gracefully by stripping it. + appName = strings.TrimPrefix(appName, ".") + appNameUpper := string(unicode.ToUpper(rune(appName[0]))) + appName[1:] + appNameLower := string(unicode.ToLower(rune(appName[0]))) + appName[1:] + + // Get the OS specific home directory via the Go standard lib. + var homeDir string + usr, err := user.Current() + if err == nil { + homeDir = usr.HomeDir + } + + // Fall back to standard HOME environment variable that works + // for most POSIX OSes if the directory from the Go standard + // lib failed. + if err != nil || homeDir == "" { + homeDir = os.Getenv("HOME") + } + + switch goos { + // Attempt to use the LOCALAPPDATA or APPDATA environment variable on + // Windows. + case "windows": + // Windows XP and before didn't have a LOCALAPPDATA, so fallback + // to regular APPDATA when LOCALAPPDATA is not set. + appData := os.Getenv("LOCALAPPDATA") + if roaming || appData == "" { + appData = os.Getenv("APPDATA") + } + + if appData != "" { + return filepath.Join(appData, appNameUpper) + } + + case "darwin": + if homeDir != "" { + return filepath.Join(homeDir, "Library", + "Application Support", appNameUpper) + } + + case "plan9": + if homeDir != "" { + return filepath.Join(homeDir, appNameLower) + } + + default: + if homeDir != "" { + return filepath.Join(homeDir, "."+appNameLower) + } + } + + // Fall back to the current directory if all else fails. + return "." +} + +// AppDataDir returns an operating system specific directory to be used for +// storing application data for an application. +// +// The appName parameter is the name of the application the data directory is +// being requested for. This function will prepend a period to the appName for +// POSIX style operating systems since that is standard practice. An empty +// appName or one with a single dot is treated as requesting the current +// directory so only "." will be returned. Further, the first character +// of appName will be made lowercase for POSIX style operating systems and +// uppercase for Mac and Windows since that is standard practice. +// +// The roaming parameter only applies to Windows where it specifies the roaming +// application data profile (%APPDATA%) should be used instead of the local one +// (%LOCALAPPDATA%) that is used by default. +// +// Example results: +// dir := AppDataDir("myapp", false) +// POSIX (Linux/BSD): ~/.myapp +// Mac OS: $HOME/Library/Application Support/Myapp +// Windows: %LOCALAPPDATA%\Myapp +// Plan 9: $home/myapp +func AppDataDir(appName string, roaming bool) string { + return appDataDir(runtime.GOOS, appName, roaming) +} diff --git a/common/util/appdata_test.go b/common/util/appdata_test.go new file mode 100644 index 0000000..070706c --- /dev/null +++ b/common/util/appdata_test.go @@ -0,0 +1,134 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package util_test + +import ( + "github.com/Qitmeer/qng-core/common/util" + "os" + "os/user" + "path/filepath" + "runtime" + "testing" + "unicode" +) + +// TestAppDataDir tests the API for AppDataDir to ensure it gives expected +// results for various operating systems. +func TestAppDataDir(t *testing.T) { + // App name plus upper and lowercase variants. + appName := "myapp" + appNameUpper := string(unicode.ToUpper(rune(appName[0]))) + appName[1:] + appNameLower := string(unicode.ToLower(rune(appName[0]))) + appName[1:] + + // When we're on Windows, set the expected local and roaming directories + // per the environment vars. When we aren't on Windows, the function + // should return the current directory when forced to provide the + // Windows path since the environment variables won't exist. + winLocal := "." + winRoaming := "." + if runtime.GOOS == "windows" { + localAppData := os.Getenv("LOCALAPPDATA") + roamingAppData := os.Getenv("APPDATA") + if localAppData == "" { + localAppData = roamingAppData + } + winLocal = filepath.Join(localAppData, appNameUpper) + winRoaming = filepath.Join(roamingAppData, appNameUpper) + } + + // Get the home directory to use for testing expected results. + var homeDir string + usr, err := user.Current() + if err != nil { + t.Errorf("user.Current: %v", err) + return + } + homeDir = usr.HomeDir + + // Mac app data directory. + macAppData := filepath.Join(homeDir, "Library", "Application Support") + + tests := []struct { + goos string + appName string + roaming bool + want string + }{ + // Various combinations of application name casing, leading + // period, operating system, and roaming flags. + {"windows", appNameLower, false, winLocal}, + {"windows", appNameUpper, false, winLocal}, + {"windows", "." + appNameLower, false, winLocal}, + {"windows", "." + appNameUpper, false, winLocal}, + {"windows", appNameLower, true, winRoaming}, + {"windows", appNameUpper, true, winRoaming}, + {"windows", "." + appNameLower, true, winRoaming}, + {"windows", "." + appNameUpper, true, winRoaming}, + {"linux", appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"linux", appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"linux", "." + appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"linux", "." + appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"darwin", appNameLower, false, filepath.Join(macAppData, appNameUpper)}, + {"darwin", appNameUpper, false, filepath.Join(macAppData, appNameUpper)}, + {"darwin", "." + appNameLower, false, filepath.Join(macAppData, appNameUpper)}, + {"darwin", "." + appNameUpper, false, filepath.Join(macAppData, appNameUpper)}, + {"openbsd", appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"openbsd", appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"openbsd", "." + appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"openbsd", "." + appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"freebsd", appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"freebsd", appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"freebsd", "." + appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"freebsd", "." + appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"netbsd", appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"netbsd", appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"netbsd", "." + appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"netbsd", "." + appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"plan9", appNameLower, false, filepath.Join(homeDir, appNameLower)}, + {"plan9", appNameUpper, false, filepath.Join(homeDir, appNameLower)}, + {"plan9", "." + appNameLower, false, filepath.Join(homeDir, appNameLower)}, + {"plan9", "." + appNameUpper, false, filepath.Join(homeDir, appNameLower)}, + {"unrecognized", appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"unrecognized", appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + {"unrecognized", "." + appNameLower, false, filepath.Join(homeDir, "."+appNameLower)}, + {"unrecognized", "." + appNameUpper, false, filepath.Join(homeDir, "."+appNameLower)}, + + // No application name provided, so expect current directory. + {"windows", "", false, "."}, + {"windows", "", true, "."}, + {"linux", "", false, "."}, + {"darwin", "", false, "."}, + {"openbsd", "", false, "."}, + {"freebsd", "", false, "."}, + {"netbsd", "", false, "."}, + {"plan9", "", false, "."}, + {"unrecognized", "", false, "."}, + + // Single dot provided for application name, so expect current + // directory. + {"windows", ".", false, "."}, + {"windows", ".", true, "."}, + {"linux", ".", false, "."}, + {"darwin", ".", false, "."}, + {"openbsd", ".", false, "."}, + {"freebsd", ".", false, "."}, + {"netbsd", ".", false, "."}, + {"plan9", ".", false, "."}, + {"unrecognized", ".", false, "."}, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + ret := util.TstAppDataDir(test.goos, test.appName, test.roaming) + if ret != test.want { + t.Errorf("appDataDir #%d (%s) does not match - "+ + "expected got %s, want %s", i, test.goos, ret, + test.want) + continue + } + } +} diff --git a/common/util/bit_vector.go b/common/util/bit_vector.go new file mode 100644 index 0000000..e391d2d --- /dev/null +++ b/common/util/bit_vector.go @@ -0,0 +1,59 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package util + +import "errors" + +//invalid bit length +var errInvalidLength = errors.New("invalid length") + +//BitVector this is design for cuckoo hash bytes +type BitVector struct { + len int + b []byte +} + +// init +func New(l int) (bv *BitVector, err error) { + return NewFromBytes(make([]byte, l/8+1), l) +} + +// convert from bytes +func NewFromBytes(b []byte, l int) (bv *BitVector, err error) { + if l <= 0 { + return nil, errInvalidLength + } + if len(b)*8 < l { + return nil, errInvalidLength + } + return &BitVector{ + len: l, + b: b, + }, nil +} + +//get BitVector +func (bv *BitVector) Get(i int) bool { + bi := i / 8 + return bv.b[bi]&(0x1<= 0; i-- { + opp := len(b) - 1 - i + b[i], b[opp] = b[opp], b[i] + } +} diff --git a/common/util/file.go b/common/util/file.go new file mode 100644 index 0000000..5c06351 --- /dev/null +++ b/common/util/file.go @@ -0,0 +1,13 @@ +package util + +import "os" + +// FilesExists reports whether the named file or directory exists. +func FileExists(name string) bool { + if _, err := os.Stat(name); err != nil { + if os.IsNotExist(err) { + return false + } + } + return true +} diff --git a/common/util/hexutil.go b/common/util/hexutil.go new file mode 100644 index 0000000..e60098c --- /dev/null +++ b/common/util/hexutil.go @@ -0,0 +1,30 @@ +// Copyright 2017-2018 The qitmeer developers + +package util + +import ( + "encoding/hex" + "log" + "math/big" +) + +func HasHexPrefix(str string) bool { + return len(str) >= 2 && str[0] == '0' && (str[1] == 'x' || str[1] == 'X') +} + +func FromHex(hex string) *big.Int { + i, ok := new(big.Int).SetString(hex, 16) + if !ok { + log.Fatalln("bad number: " + hex) + } + return i +} + +// MustHex2Bytes returns the bytes represented by the hexadecimal string str. Must means panic when err +func MustHex2Bytes(str string) []byte { + h, err := hex.DecodeString(str) + if err != nil { + panic(err) + } + return h +} diff --git a/common/util/hexutil/hexutil.go b/common/util/hexutil/hexutil.go new file mode 100644 index 0000000..46223a2 --- /dev/null +++ b/common/util/hexutil/hexutil.go @@ -0,0 +1,240 @@ +// Copyright 2016 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +/* +Package hexutil implements hex encoding with 0x prefix. +This encoding is used by the Ethereum RPC API to transport binary data in JSON payloads. + +Encoding Rules + +All hex data must have prefix "0x". + +For byte slices, the hex data must be of even length. An empty byte slice +encodes as "0x". + +Integers are encoded using the least amount of digits (no leading zero digits). Their +encoding may be of uneven length. The number zero encodes as "0x0". +*/ +package hexutil + +import ( + "encoding/hex" + "fmt" + "math/big" + "strconv" +) + +const uintBits = 32 << (uint64(^uint(0)) >> 63) + +// Errors +var ( + ErrEmptyString = &decError{"empty hex string"} + ErrSyntax = &decError{"invalid hex string"} + ErrMissingPrefix = &decError{"hex string without 0x prefix"} + ErrOddLength = &decError{"hex string of odd length"} + ErrEmptyNumber = &decError{"hex string \"0x\""} + ErrLeadingZero = &decError{"hex number with leading zero digits"} + ErrUint64Range = &decError{"hex number > 64 bits"} + ErrUintRange = &decError{fmt.Sprintf("hex number > %d bits", uintBits)} + ErrBig256Range = &decError{"hex number > 256 bits"} +) + +type decError struct{ msg string } + +func (err decError) Error() string { return err.msg } + +// Decode decodes a hex string with 0x prefix. +func Decode(input string) ([]byte, error) { + if len(input) == 0 { + return nil, ErrEmptyString + } + if !has0xPrefix(input) { + return nil, ErrMissingPrefix + } + b, err := hex.DecodeString(input[2:]) + if err != nil { + err = mapError(err) + } + return b, err +} + +// MustDecode decodes a hex string with 0x prefix. It panics for invalid input. +func MustDecode(input string) []byte { + dec, err := Decode(input) + if err != nil { + panic(err) + } + return dec +} + +// Encode encodes b as a hex string with 0x prefix. +func Encode(b []byte) string { + enc := make([]byte, len(b)*2+2) + copy(enc, "0x") + hex.Encode(enc[2:], b) + return string(enc) +} + +// DecodeUint64 decodes a hex string with 0x prefix as a quantity. +func DecodeUint64(input string) (uint64, error) { + raw, err := checkNumber(input) + if err != nil { + return 0, err + } + dec, err := strconv.ParseUint(raw, 16, 64) + if err != nil { + err = mapError(err) + } + return dec, err +} + +// MustDecodeUint64 decodes a hex string with 0x prefix as a quantity. +// It panics for invalid input. +func MustDecodeUint64(input string) uint64 { + dec, err := DecodeUint64(input) + if err != nil { + panic(err) + } + return dec +} + +// EncodeUint64 encodes i as a hex string with 0x prefix. +func EncodeUint64(i uint64) string { + enc := make([]byte, 2, 10) + copy(enc, "0x") + return string(strconv.AppendUint(enc, i, 16)) +} + +var bigWordNibbles int + +func init() { + // This is a weird way to compute the number of nibbles required for big.Word. + // The usual way would be to use constant arithmetic but go vet can't handle that. + b, _ := new(big.Int).SetString("FFFFFFFFFF", 16) + switch len(b.Bits()) { + case 1: + bigWordNibbles = 16 + case 2: + bigWordNibbles = 8 + default: + panic("weird big.Word size") + } +} + +// DecodeBig decodes a hex string with 0x prefix as a quantity. +// Numbers larger than 256 bits are not accepted. +func DecodeBig(input string) (*big.Int, error) { + raw, err := checkNumber(input) + if err != nil { + return nil, err + } + if len(raw) > 64 { + return nil, ErrBig256Range + } + words := make([]big.Word, len(raw)/bigWordNibbles+1) + end := len(raw) + for i := range words { + start := end - bigWordNibbles + if start < 0 { + start = 0 + } + for ri := start; ri < end; ri++ { + nib := decodeNibble(raw[ri]) + if nib == badNibble { + return nil, ErrSyntax + } + words[i] *= 16 + words[i] += big.Word(nib) + } + end = start + } + dec := new(big.Int).SetBits(words) + return dec, nil +} + +// MustDecodeBig decodes a hex string with 0x prefix as a quantity. +// It panics for invalid input. +func MustDecodeBig(input string) *big.Int { + dec, err := DecodeBig(input) + if err != nil { + panic(err) + } + return dec +} + +// EncodeBig encodes bigint as a hex string with 0x prefix. +// The sign of the integer is ignored. +func EncodeBig(bigint *big.Int) string { + nbits := bigint.BitLen() + if nbits == 0 { + return "0x0" + } + return fmt.Sprintf("%#x", bigint) +} + +func has0xPrefix(input string) bool { + return len(input) >= 2 && input[0] == '0' && (input[1] == 'x' || input[1] == 'X') +} + +func checkNumber(input string) (raw string, err error) { + if len(input) == 0 { + return "", ErrEmptyString + } + if !has0xPrefix(input) { + return "", ErrMissingPrefix + } + input = input[2:] + if len(input) == 0 { + return "", ErrEmptyNumber + } + if len(input) > 1 && input[0] == '0' { + return "", ErrLeadingZero + } + return input, nil +} + +const badNibble = ^uint64(0) + +func decodeNibble(in byte) uint64 { + switch { + case in >= '0' && in <= '9': + return uint64(in - '0') + case in >= 'A' && in <= 'F': + return uint64(in - 'A' + 10) + case in >= 'a' && in <= 'f': + return uint64(in - 'a' + 10) + default: + return badNibble + } +} + +func mapError(err error) error { + if err, ok := err.(*strconv.NumError); ok { + switch err.Err { + case strconv.ErrRange: + return ErrUint64Range + case strconv.ErrSyntax: + return ErrSyntax + } + } + if _, ok := err.(hex.InvalidByteError); ok { + return ErrSyntax + } + if err == hex.ErrLength { + return ErrOddLength + } + return err +} diff --git a/common/util/hexutil/hexutil_test.go b/common/util/hexutil/hexutil_test.go new file mode 100644 index 0000000..ed6fccc --- /dev/null +++ b/common/util/hexutil/hexutil_test.go @@ -0,0 +1,203 @@ +// Copyright 2016 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package hexutil + +import ( + "bytes" + "math/big" + "testing" +) + +type marshalTest struct { + input interface{} + want string +} + +type unmarshalTest struct { + input string + want interface{} + wantErr error // if set, decoding must fail on any platform + wantErr32bit error // if set, decoding must fail on 32bit platforms (used for Uint tests) +} + +var ( + encodeBytesTests = []marshalTest{ + {[]byte{}, "0x"}, + {[]byte{0}, "0x00"}, + {[]byte{0, 0, 1, 2}, "0x00000102"}, + } + + encodeBigTests = []marshalTest{ + {referenceBig("0"), "0x0"}, + {referenceBig("1"), "0x1"}, + {referenceBig("ff"), "0xff"}, + {referenceBig("112233445566778899aabbccddeeff"), "0x112233445566778899aabbccddeeff"}, + {referenceBig("80a7f2c1bcc396c00"), "0x80a7f2c1bcc396c00"}, + {referenceBig("-80a7f2c1bcc396c00"), "-0x80a7f2c1bcc396c00"}, + } + + encodeUint64Tests = []marshalTest{ + {uint64(0), "0x0"}, + {uint64(1), "0x1"}, + {uint64(0xff), "0xff"}, + {uint64(0x1122334455667788), "0x1122334455667788"}, + } + + encodeUintTests = []marshalTest{ + {uint(0), "0x0"}, + {uint(1), "0x1"}, + {uint(0xff), "0xff"}, + {uint(0x11223344), "0x11223344"}, + } + + decodeBytesTests = []unmarshalTest{ + // invalid + {input: ``, wantErr: ErrEmptyString}, + {input: `0`, wantErr: ErrMissingPrefix}, + {input: `0x0`, wantErr: ErrOddLength}, + {input: `0x023`, wantErr: ErrOddLength}, + {input: `0xxx`, wantErr: ErrSyntax}, + {input: `0x01zz01`, wantErr: ErrSyntax}, + // valid + {input: `0x`, want: []byte{}}, + {input: `0X`, want: []byte{}}, + {input: `0x02`, want: []byte{0x02}}, + {input: `0X02`, want: []byte{0x02}}, + {input: `0xffffffffff`, want: []byte{0xff, 0xff, 0xff, 0xff, 0xff}}, + { + input: `0xffffffffffffffffffffffffffffffffffff`, + want: []byte{0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff}, + }, + } + + decodeBigTests = []unmarshalTest{ + // invalid + {input: `0`, wantErr: ErrMissingPrefix}, + {input: `0x`, wantErr: ErrEmptyNumber}, + {input: `0x01`, wantErr: ErrLeadingZero}, + {input: `0xx`, wantErr: ErrSyntax}, + {input: `0x1zz01`, wantErr: ErrSyntax}, + { + input: `0x10000000000000000000000000000000000000000000000000000000000000000`, + wantErr: ErrBig256Range, + }, + // valid + {input: `0x0`, want: big.NewInt(0)}, + {input: `0x2`, want: big.NewInt(0x2)}, + {input: `0x2F2`, want: big.NewInt(0x2f2)}, + {input: `0X2F2`, want: big.NewInt(0x2f2)}, + {input: `0x1122aaff`, want: big.NewInt(0x1122aaff)}, + {input: `0xbBb`, want: big.NewInt(0xbbb)}, + {input: `0xfffffffff`, want: big.NewInt(0xfffffffff)}, + { + input: `0x112233445566778899aabbccddeeff`, + want: referenceBig("112233445566778899aabbccddeeff"), + }, + { + input: `0xffffffffffffffffffffffffffffffffffff`, + want: referenceBig("ffffffffffffffffffffffffffffffffffff"), + }, + { + input: `0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff`, + want: referenceBig("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"), + }, + } + + decodeUint64Tests = []unmarshalTest{ + // invalid + {input: `0`, wantErr: ErrMissingPrefix}, + {input: `0x`, wantErr: ErrEmptyNumber}, + {input: `0x01`, wantErr: ErrLeadingZero}, + {input: `0xfffffffffffffffff`, wantErr: ErrUint64Range}, + {input: `0xx`, wantErr: ErrSyntax}, + {input: `0x1zz01`, wantErr: ErrSyntax}, + // valid + {input: `0x0`, want: uint64(0)}, + {input: `0x2`, want: uint64(0x2)}, + {input: `0x2F2`, want: uint64(0x2f2)}, + {input: `0X2F2`, want: uint64(0x2f2)}, + {input: `0x1122aaff`, want: uint64(0x1122aaff)}, + {input: `0xbbb`, want: uint64(0xbbb)}, + {input: `0xffffffffffffffff`, want: uint64(0xffffffffffffffff)}, + } +) + +func TestEncode(t *testing.T) { + for _, test := range encodeBytesTests { + enc := Encode(test.input.([]byte)) + if enc != test.want { + t.Errorf("input %x: wrong encoding %s", test.input, enc) + } + } +} + +func TestDecode(t *testing.T) { + for _, test := range decodeBytesTests { + dec, err := Decode(test.input) + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if !bytes.Equal(test.want.([]byte), dec) { + t.Errorf("input %s: value mismatch: got %x, want %x", test.input, dec, test.want) + continue + } + } +} + +func TestEncodeBig(t *testing.T) { + for _, test := range encodeBigTests { + enc := EncodeBig(test.input.(*big.Int)) + if enc != test.want { + t.Errorf("input %x: wrong encoding %s", test.input, enc) + } + } +} + +func TestDecodeBig(t *testing.T) { + for _, test := range decodeBigTests { + dec, err := DecodeBig(test.input) + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if dec.Cmp(test.want.(*big.Int)) != 0 { + t.Errorf("input %s: value mismatch: got %x, want %x", test.input, dec, test.want) + continue + } + } +} + +func TestEncodeUint64(t *testing.T) { + for _, test := range encodeUint64Tests { + enc := EncodeUint64(test.input.(uint64)) + if enc != test.want { + t.Errorf("input %x: wrong encoding %s", test.input, enc) + } + } +} + +func TestDecodeUint64(t *testing.T) { + for _, test := range decodeUint64Tests { + dec, err := DecodeUint64(test.input) + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if dec != test.want.(uint64) { + t.Errorf("input %s: value mismatch: got %x, want %x", test.input, dec, test.want) + continue + } + } +} diff --git a/common/util/hexutil/json.go b/common/util/hexutil/json.go new file mode 100644 index 0000000..50db208 --- /dev/null +++ b/common/util/hexutil/json.go @@ -0,0 +1,376 @@ +// Copyright 2016 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package hexutil + +import ( + "encoding/hex" + "encoding/json" + "fmt" + "math/big" + "reflect" + "strconv" +) + +var ( + bytesT = reflect.TypeOf(Bytes(nil)) + bigT = reflect.TypeOf((*Big)(nil)) + uintT = reflect.TypeOf(Uint(0)) + uint64T = reflect.TypeOf(Uint64(0)) +) + +// Bytes marshals/unmarshals as a JSON string with 0x prefix. +// The empty slice marshals as "0x". +type Bytes []byte + +// MarshalText implements encoding.TextMarshaler +func (b Bytes) MarshalText() ([]byte, error) { + result := make([]byte, len(b)*2+2) + copy(result, `0x`) + hex.Encode(result[2:], b) + return result, nil +} + +// UnmarshalJSON implements json.Unmarshaler. +func (b *Bytes) UnmarshalJSON(input []byte) error { + if !isString(input) { + return errNonString(bytesT) + } + return wrapTypeError(b.UnmarshalText(input[1:len(input)-1]), bytesT) +} + +// UnmarshalText implements encoding.TextUnmarshaler. +func (b *Bytes) UnmarshalText(input []byte) error { + raw, err := checkText(input, true) + if err != nil { + return err + } + dec := make([]byte, len(raw)/2) + if _, err = hex.Decode(dec, raw); err != nil { + err = mapError(err) + } else { + *b = dec + } + return err +} + +// String returns the hex encoding of b. +func (b Bytes) String() string { + return Encode(b) +} + +// ImplementsGraphQLType returns true if Bytes implements the specified GraphQL type. +func (b Bytes) ImplementsGraphQLType(name string) bool { return name == "Bytes" } + +// UnmarshalGraphQL unmarshals the provided GraphQL query data. +func (b *Bytes) UnmarshalGraphQL(input interface{}) error { + var err error + switch input := input.(type) { + case string: + data, err := Decode(input) + if err != nil { + return err + } + *b = data + default: + err = fmt.Errorf("unexpected type %T for Bytes", input) + } + return err +} + +// UnmarshalFixedJSON decodes the input as a string with 0x prefix. The length of out +// determines the required input length. This function is commonly used to implement the +// UnmarshalJSON method for fixed-size types. +func UnmarshalFixedJSON(typ reflect.Type, input, out []byte) error { + if !isString(input) { + return errNonString(typ) + } + return wrapTypeError(UnmarshalFixedText(typ.String(), input[1:len(input)-1], out), typ) +} + +// UnmarshalFixedText decodes the input as a string with 0x prefix. The length of out +// determines the required input length. This function is commonly used to implement the +// UnmarshalText method for fixed-size types. +func UnmarshalFixedText(typname string, input, out []byte) error { + raw, err := checkText(input, true) + if err != nil { + return err + } + if len(raw)/2 != len(out) { + return fmt.Errorf("hex string has length %d, want %d for %s", len(raw), len(out)*2, typname) + } + // Pre-verify syntax before modifying out. + for _, b := range raw { + if decodeNibble(b) == badNibble { + return ErrSyntax + } + } + hex.Decode(out, raw) + return nil +} + +// UnmarshalFixedUnprefixedText decodes the input as a string with optional 0x prefix. The +// length of out determines the required input length. This function is commonly used to +// implement the UnmarshalText method for fixed-size types. +func UnmarshalFixedUnprefixedText(typname string, input, out []byte) error { + raw, err := checkText(input, false) + if err != nil { + return err + } + if len(raw)/2 != len(out) { + return fmt.Errorf("hex string has length %d, want %d for %s", len(raw), len(out)*2, typname) + } + // Pre-verify syntax before modifying out. + for _, b := range raw { + if decodeNibble(b) == badNibble { + return ErrSyntax + } + } + hex.Decode(out, raw) + return nil +} + +// Big marshals/unmarshals as a JSON string with 0x prefix. +// The zero value marshals as "0x0". +// +// Negative integers are not supported at this time. Attempting to marshal them will +// return an error. Values larger than 256bits are rejected by Unmarshal but will be +// marshaled without error. +type Big big.Int + +// MarshalText implements encoding.TextMarshaler +func (b Big) MarshalText() ([]byte, error) { + return []byte(EncodeBig((*big.Int)(&b))), nil +} + +// UnmarshalJSON implements json.Unmarshaler. +func (b *Big) UnmarshalJSON(input []byte) error { + if !isString(input) { + return errNonString(bigT) + } + return wrapTypeError(b.UnmarshalText(input[1:len(input)-1]), bigT) +} + +// UnmarshalText implements encoding.TextUnmarshaler +func (b *Big) UnmarshalText(input []byte) error { + raw, err := checkNumberText(input) + if err != nil { + return err + } + if len(raw) > 64 { + return ErrBig256Range + } + words := make([]big.Word, len(raw)/bigWordNibbles+1) + end := len(raw) + for i := range words { + start := end - bigWordNibbles + if start < 0 { + start = 0 + } + for ri := start; ri < end; ri++ { + nib := decodeNibble(raw[ri]) + if nib == badNibble { + return ErrSyntax + } + words[i] *= 16 + words[i] += big.Word(nib) + } + end = start + } + var dec big.Int + dec.SetBits(words) + *b = (Big)(dec) + return nil +} + +// ToInt converts b to a big.Int. +func (b *Big) ToInt() *big.Int { + return (*big.Int)(b) +} + +// String returns the hex encoding of b. +func (b *Big) String() string { + return EncodeBig(b.ToInt()) +} + +// ImplementsGraphQLType returns true if Big implements the provided GraphQL type. +func (b Big) ImplementsGraphQLType(name string) bool { return name == "BigInt" } + +// UnmarshalGraphQL unmarshals the provided GraphQL query data. +func (b *Big) UnmarshalGraphQL(input interface{}) error { + var err error + switch input := input.(type) { + case string: + return b.UnmarshalText([]byte(input)) + case int32: + var num big.Int + num.SetInt64(int64(input)) + *b = Big(num) + default: + err = fmt.Errorf("unexpected type %T for BigInt", input) + } + return err +} + +// Uint64 marshals/unmarshals as a JSON string with 0x prefix. +// The zero value marshals as "0x0". +type Uint64 uint64 + +// MarshalText implements encoding.TextMarshaler. +func (b Uint64) MarshalText() ([]byte, error) { + buf := make([]byte, 2, 10) + copy(buf, `0x`) + buf = strconv.AppendUint(buf, uint64(b), 16) + return buf, nil +} + +// UnmarshalJSON implements json.Unmarshaler. +func (b *Uint64) UnmarshalJSON(input []byte) error { + if !isString(input) { + return errNonString(uint64T) + } + return wrapTypeError(b.UnmarshalText(input[1:len(input)-1]), uint64T) +} + +// UnmarshalText implements encoding.TextUnmarshaler +func (b *Uint64) UnmarshalText(input []byte) error { + raw, err := checkNumberText(input) + if err != nil { + return err + } + if len(raw) > 16 { + return ErrUint64Range + } + var dec uint64 + for _, byte := range raw { + nib := decodeNibble(byte) + if nib == badNibble { + return ErrSyntax + } + dec *= 16 + dec += nib + } + *b = Uint64(dec) + return nil +} + +// String returns the hex encoding of b. +func (b Uint64) String() string { + return EncodeUint64(uint64(b)) +} + +// ImplementsGraphQLType returns true if Uint64 implements the provided GraphQL type. +func (b Uint64) ImplementsGraphQLType(name string) bool { return name == "Long" } + +// UnmarshalGraphQL unmarshals the provided GraphQL query data. +func (b *Uint64) UnmarshalGraphQL(input interface{}) error { + var err error + switch input := input.(type) { + case string: + return b.UnmarshalText([]byte(input)) + case int32: + *b = Uint64(input) + default: + err = fmt.Errorf("unexpected type %T for Long", input) + } + return err +} + +// Uint marshals/unmarshals as a JSON string with 0x prefix. +// The zero value marshals as "0x0". +type Uint uint + +// MarshalText implements encoding.TextMarshaler. +func (b Uint) MarshalText() ([]byte, error) { + return Uint64(b).MarshalText() +} + +// UnmarshalJSON implements json.Unmarshaler. +func (b *Uint) UnmarshalJSON(input []byte) error { + if !isString(input) { + return errNonString(uintT) + } + return wrapTypeError(b.UnmarshalText(input[1:len(input)-1]), uintT) +} + +// UnmarshalText implements encoding.TextUnmarshaler. +func (b *Uint) UnmarshalText(input []byte) error { + var u64 Uint64 + err := u64.UnmarshalText(input) + if u64 > Uint64(^uint(0)) || err == ErrUint64Range { + return ErrUintRange + } else if err != nil { + return err + } + *b = Uint(u64) + return nil +} + +// String returns the hex encoding of b. +func (b Uint) String() string { + return EncodeUint64(uint64(b)) +} + +func isString(input []byte) bool { + return len(input) >= 2 && input[0] == '"' && input[len(input)-1] == '"' +} + +func bytesHave0xPrefix(input []byte) bool { + return len(input) >= 2 && input[0] == '0' && (input[1] == 'x' || input[1] == 'X') +} + +func checkText(input []byte, wantPrefix bool) ([]byte, error) { + if len(input) == 0 { + return nil, nil // empty strings are allowed + } + if bytesHave0xPrefix(input) { + input = input[2:] + } else if wantPrefix { + return nil, ErrMissingPrefix + } + if len(input)%2 != 0 { + return nil, ErrOddLength + } + return input, nil +} + +func checkNumberText(input []byte) (raw []byte, err error) { + if len(input) == 0 { + return nil, nil // empty strings are allowed + } + if !bytesHave0xPrefix(input) { + return nil, ErrMissingPrefix + } + input = input[2:] + if len(input) == 0 { + return nil, ErrEmptyNumber + } + if len(input) > 1 && input[0] == '0' { + return nil, ErrLeadingZero + } + return input, nil +} + +func wrapTypeError(err error, typ reflect.Type) error { + if _, ok := err.(*decError); ok { + return &json.UnmarshalTypeError{Value: err.Error(), Type: typ} + } + return err +} + +func errNonString(typ reflect.Type) error { + return &json.UnmarshalTypeError{Value: "non-string", Type: typ} +} diff --git a/common/util/hexutil/json_example_test.go b/common/util/hexutil/json_example_test.go new file mode 100644 index 0000000..78c9be0 --- /dev/null +++ b/common/util/hexutil/json_example_test.go @@ -0,0 +1,36 @@ +/* + * Copyright (c) 2020. + * Project:qitmeer + * File:json_example_test.go + * Date:7/4/20 9:00 PM + * Author:Jin + * Email:lochjin@gmail.com + */ + +package hexutil + +import ( + "encoding/json" + "fmt" +) + +type MyType [5]byte + +func (v *MyType) UnmarshalText(input []byte) error { + return UnmarshalFixedText("MyType", input, v[:]) +} + +func (v MyType) String() string { + return Bytes(v[:]).String() +} + +func ExampleUnmarshalFixedText() { + var v1, v2 MyType + fmt.Println("v1 error:", json.Unmarshal([]byte(`"0x01"`), &v1)) + fmt.Println("v2 error:", json.Unmarshal([]byte(`"0x0101010101"`), &v2)) + fmt.Println("v2:", v2) + // Output: + // v1 error: hex string has length 2, want 10 for MyType + // v2 error: + // v2: 0x0101010101 +} diff --git a/common/util/hexutil/json_test.go b/common/util/hexutil/json_test.go new file mode 100644 index 0000000..8a6b864 --- /dev/null +++ b/common/util/hexutil/json_test.go @@ -0,0 +1,374 @@ +// Copyright 2016 The go-ethereum Authors +// This file is part of the go-ethereum library. +// +// The go-ethereum library is free software: you can redistribute it and/or modify +// it under the terms of the GNU Lesser General Public License as published by +// the Free Software Foundation, either version 3 of the License, or +// (at your option) any later version. +// +// The go-ethereum library is distributed in the hope that it will be useful, +// but WITHOUT ANY WARRANTY; without even the implied warranty of +// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +// GNU Lesser General Public License for more details. +// +// You should have received a copy of the GNU Lesser General Public License +// along with the go-ethereum library. If not, see . + +package hexutil + +import ( + "bytes" + "encoding/hex" + "encoding/json" + "errors" + "math/big" + "testing" +) + +func checkError(t *testing.T, input string, got, want error) bool { + if got == nil { + if want != nil { + t.Errorf("input %s: got no error, want %q", input, want) + return false + } + return true + } + if want == nil { + t.Errorf("input %s: unexpected error %q", input, got) + } else if got.Error() != want.Error() { + t.Errorf("input %s: got error %q, want %q", input, got, want) + } + return false +} + +func referenceBig(s string) *big.Int { + b, ok := new(big.Int).SetString(s, 16) + if !ok { + panic("invalid") + } + return b +} + +func referenceBytes(s string) []byte { + b, err := hex.DecodeString(s) + if err != nil { + panic(err) + } + return b +} + +var errJSONEOF = errors.New("unexpected end of JSON input") + +var unmarshalBytesTests = []unmarshalTest{ + // invalid encoding + {input: "", wantErr: errJSONEOF}, + {input: "null", wantErr: errNonString(bytesT)}, + {input: "10", wantErr: errNonString(bytesT)}, + {input: `"0"`, wantErr: wrapTypeError(ErrMissingPrefix, bytesT)}, + {input: `"0x0"`, wantErr: wrapTypeError(ErrOddLength, bytesT)}, + {input: `"0xxx"`, wantErr: wrapTypeError(ErrSyntax, bytesT)}, + {input: `"0x01zz01"`, wantErr: wrapTypeError(ErrSyntax, bytesT)}, + + // valid encoding + {input: `""`, want: referenceBytes("")}, + {input: `"0x"`, want: referenceBytes("")}, + {input: `"0x02"`, want: referenceBytes("02")}, + {input: `"0X02"`, want: referenceBytes("02")}, + {input: `"0xffffffffff"`, want: referenceBytes("ffffffffff")}, + { + input: `"0xffffffffffffffffffffffffffffffffffff"`, + want: referenceBytes("ffffffffffffffffffffffffffffffffffff"), + }, +} + +func TestUnmarshalBytes(t *testing.T) { + for _, test := range unmarshalBytesTests { + var v Bytes + err := json.Unmarshal([]byte(test.input), &v) + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if !bytes.Equal(test.want.([]byte), []byte(v)) { + t.Errorf("input %s: value mismatch: got %x, want %x", test.input, &v, test.want) + continue + } + } +} + +func BenchmarkUnmarshalBytes(b *testing.B) { + input := []byte(`"0x123456789abcdef123456789abcdef"`) + for i := 0; i < b.N; i++ { + var v Bytes + if err := v.UnmarshalJSON(input); err != nil { + b.Fatal(err) + } + } +} + +func TestMarshalBytes(t *testing.T) { + for _, test := range encodeBytesTests { + in := test.input.([]byte) + out, err := json.Marshal(Bytes(in)) + if err != nil { + t.Errorf("%x: %v", in, err) + continue + } + if want := `"` + test.want + `"`; string(out) != want { + t.Errorf("%x: MarshalJSON output mismatch: got %q, want %q", in, out, want) + continue + } + if out := Bytes(in).String(); out != test.want { + t.Errorf("%x: String mismatch: got %q, want %q", in, out, test.want) + continue + } + } +} + +var unmarshalBigTests = []unmarshalTest{ + // invalid encoding + {input: "", wantErr: errJSONEOF}, + {input: "null", wantErr: errNonString(bigT)}, + {input: "10", wantErr: errNonString(bigT)}, + {input: `"0"`, wantErr: wrapTypeError(ErrMissingPrefix, bigT)}, + {input: `"0x"`, wantErr: wrapTypeError(ErrEmptyNumber, bigT)}, + {input: `"0x01"`, wantErr: wrapTypeError(ErrLeadingZero, bigT)}, + {input: `"0xx"`, wantErr: wrapTypeError(ErrSyntax, bigT)}, + {input: `"0x1zz01"`, wantErr: wrapTypeError(ErrSyntax, bigT)}, + { + input: `"0x10000000000000000000000000000000000000000000000000000000000000000"`, + wantErr: wrapTypeError(ErrBig256Range, bigT), + }, + + // valid encoding + {input: `""`, want: big.NewInt(0)}, + {input: `"0x0"`, want: big.NewInt(0)}, + {input: `"0x2"`, want: big.NewInt(0x2)}, + {input: `"0x2F2"`, want: big.NewInt(0x2f2)}, + {input: `"0X2F2"`, want: big.NewInt(0x2f2)}, + {input: `"0x1122aaff"`, want: big.NewInt(0x1122aaff)}, + {input: `"0xbBb"`, want: big.NewInt(0xbbb)}, + {input: `"0xfffffffff"`, want: big.NewInt(0xfffffffff)}, + { + input: `"0x112233445566778899aabbccddeeff"`, + want: referenceBig("112233445566778899aabbccddeeff"), + }, + { + input: `"0xffffffffffffffffffffffffffffffffffff"`, + want: referenceBig("ffffffffffffffffffffffffffffffffffff"), + }, + { + input: `"0xffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"`, + want: referenceBig("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"), + }, +} + +func TestUnmarshalBig(t *testing.T) { + for _, test := range unmarshalBigTests { + var v Big + err := json.Unmarshal([]byte(test.input), &v) + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if test.want != nil && test.want.(*big.Int).Cmp((*big.Int)(&v)) != 0 { + t.Errorf("input %s: value mismatch: got %x, want %x", test.input, (*big.Int)(&v), test.want) + continue + } + } +} + +func BenchmarkUnmarshalBig(b *testing.B) { + input := []byte(`"0x123456789abcdef123456789abcdef"`) + for i := 0; i < b.N; i++ { + var v Big + if err := v.UnmarshalJSON(input); err != nil { + b.Fatal(err) + } + } +} + +func TestMarshalBig(t *testing.T) { + for _, test := range encodeBigTests { + in := test.input.(*big.Int) + out, err := json.Marshal((*Big)(in)) + if err != nil { + t.Errorf("%d: %v", in, err) + continue + } + if want := `"` + test.want + `"`; string(out) != want { + t.Errorf("%d: MarshalJSON output mismatch: got %q, want %q", in, out, want) + continue + } + if out := (*Big)(in).String(); out != test.want { + t.Errorf("%x: String mismatch: got %q, want %q", in, out, test.want) + continue + } + } +} + +var unmarshalUint64Tests = []unmarshalTest{ + // invalid encoding + {input: "", wantErr: errJSONEOF}, + {input: "null", wantErr: errNonString(uint64T)}, + {input: "10", wantErr: errNonString(uint64T)}, + {input: `"0"`, wantErr: wrapTypeError(ErrMissingPrefix, uint64T)}, + {input: `"0x"`, wantErr: wrapTypeError(ErrEmptyNumber, uint64T)}, + {input: `"0x01"`, wantErr: wrapTypeError(ErrLeadingZero, uint64T)}, + {input: `"0xfffffffffffffffff"`, wantErr: wrapTypeError(ErrUint64Range, uint64T)}, + {input: `"0xx"`, wantErr: wrapTypeError(ErrSyntax, uint64T)}, + {input: `"0x1zz01"`, wantErr: wrapTypeError(ErrSyntax, uint64T)}, + + // valid encoding + {input: `""`, want: uint64(0)}, + {input: `"0x0"`, want: uint64(0)}, + {input: `"0x2"`, want: uint64(0x2)}, + {input: `"0x2F2"`, want: uint64(0x2f2)}, + {input: `"0X2F2"`, want: uint64(0x2f2)}, + {input: `"0x1122aaff"`, want: uint64(0x1122aaff)}, + {input: `"0xbbb"`, want: uint64(0xbbb)}, + {input: `"0xffffffffffffffff"`, want: uint64(0xffffffffffffffff)}, +} + +func TestUnmarshalUint64(t *testing.T) { + for _, test := range unmarshalUint64Tests { + var v Uint64 + err := json.Unmarshal([]byte(test.input), &v) + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if uint64(v) != test.want.(uint64) { + t.Errorf("input %s: value mismatch: got %d, want %d", test.input, v, test.want) + continue + } + } +} + +func BenchmarkUnmarshalUint64(b *testing.B) { + input := []byte(`"0x123456789abcdf"`) + for i := 0; i < b.N; i++ { + var v Uint64 + v.UnmarshalJSON(input) + } +} + +func TestMarshalUint64(t *testing.T) { + for _, test := range encodeUint64Tests { + in := test.input.(uint64) + out, err := json.Marshal(Uint64(in)) + if err != nil { + t.Errorf("%d: %v", in, err) + continue + } + if want := `"` + test.want + `"`; string(out) != want { + t.Errorf("%d: MarshalJSON output mismatch: got %q, want %q", in, out, want) + continue + } + if out := (Uint64)(in).String(); out != test.want { + t.Errorf("%x: String mismatch: got %q, want %q", in, out, test.want) + continue + } + } +} + +func TestMarshalUint(t *testing.T) { + for _, test := range encodeUintTests { + in := test.input.(uint) + out, err := json.Marshal(Uint(in)) + if err != nil { + t.Errorf("%d: %v", in, err) + continue + } + if want := `"` + test.want + `"`; string(out) != want { + t.Errorf("%d: MarshalJSON output mismatch: got %q, want %q", in, out, want) + continue + } + if out := (Uint)(in).String(); out != test.want { + t.Errorf("%x: String mismatch: got %q, want %q", in, out, test.want) + continue + } + } +} + +var ( + // These are variables (not constants) to avoid constant overflow + // checks in the compiler on 32bit platforms. + maxUint33bits = uint64(^uint32(0)) + 1 + maxUint64bits = ^uint64(0) +) + +var unmarshalUintTests = []unmarshalTest{ + // invalid encoding + {input: "", wantErr: errJSONEOF}, + {input: "null", wantErr: errNonString(uintT)}, + {input: "10", wantErr: errNonString(uintT)}, + {input: `"0"`, wantErr: wrapTypeError(ErrMissingPrefix, uintT)}, + {input: `"0x"`, wantErr: wrapTypeError(ErrEmptyNumber, uintT)}, + {input: `"0x01"`, wantErr: wrapTypeError(ErrLeadingZero, uintT)}, + {input: `"0x100000000"`, want: uint(maxUint33bits), wantErr32bit: wrapTypeError(ErrUintRange, uintT)}, + {input: `"0xfffffffffffffffff"`, wantErr: wrapTypeError(ErrUintRange, uintT)}, + {input: `"0xx"`, wantErr: wrapTypeError(ErrSyntax, uintT)}, + {input: `"0x1zz01"`, wantErr: wrapTypeError(ErrSyntax, uintT)}, + + // valid encoding + {input: `""`, want: uint(0)}, + {input: `"0x0"`, want: uint(0)}, + {input: `"0x2"`, want: uint(0x2)}, + {input: `"0x2F2"`, want: uint(0x2f2)}, + {input: `"0X2F2"`, want: uint(0x2f2)}, + {input: `"0x1122aaff"`, want: uint(0x1122aaff)}, + {input: `"0xbbb"`, want: uint(0xbbb)}, + {input: `"0xffffffff"`, want: uint(0xffffffff)}, + {input: `"0xffffffffffffffff"`, want: uint(maxUint64bits), wantErr32bit: wrapTypeError(ErrUintRange, uintT)}, +} + +func TestUnmarshalUint(t *testing.T) { + for _, test := range unmarshalUintTests { + var v Uint + err := json.Unmarshal([]byte(test.input), &v) + if uintBits == 32 && test.wantErr32bit != nil { + checkError(t, test.input, err, test.wantErr32bit) + continue + } + if !checkError(t, test.input, err, test.wantErr) { + continue + } + if uint(v) != test.want.(uint) { + t.Errorf("input %s: value mismatch: got %d, want %d", test.input, v, test.want) + continue + } + } +} + +func TestUnmarshalFixedUnprefixedText(t *testing.T) { + tests := []struct { + input string + want []byte + wantErr error + }{ + {input: "0x2", wantErr: ErrOddLength}, + {input: "2", wantErr: ErrOddLength}, + {input: "4444", wantErr: errors.New("hex string has length 4, want 8 for x")}, + {input: "4444", wantErr: errors.New("hex string has length 4, want 8 for x")}, + // check that output is not modified for partially correct input + {input: "444444gg", wantErr: ErrSyntax, want: []byte{0, 0, 0, 0}}, + {input: "0x444444gg", wantErr: ErrSyntax, want: []byte{0, 0, 0, 0}}, + // valid inputs + {input: "44444444", want: []byte{0x44, 0x44, 0x44, 0x44}}, + {input: "0x44444444", want: []byte{0x44, 0x44, 0x44, 0x44}}, + } + + for _, test := range tests { + out := make([]byte, 4) + err := UnmarshalFixedUnprefixedText("x", []byte(test.input), out) + switch { + case err == nil && test.wantErr != nil: + t.Errorf("%q: got no error, expected %q", test.input, test.wantErr) + case err != nil && test.wantErr == nil: + t.Errorf("%q: unexpected error %q", test.input, err) + case err != nil && err.Error() != test.wantErr.Error(): + t.Errorf("%q: error mismatch: got %q, want %q", test.input, err, test.wantErr) + } + if test.want != nil && !bytes.Equal(out, test.want) { + t.Errorf("%q: output mismatch: got %x, want %x", test.input, out, test.want) + } + } +} diff --git a/common/util/internal_test.go b/common/util/internal_test.go new file mode 100644 index 0000000..fe8c5c2 --- /dev/null +++ b/common/util/internal_test.go @@ -0,0 +1,20 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +/* +This test file is part of the util package rather than than the +util_test package so it can bridge access to the internals to properly test +cases which are either not possible or can't reliably be tested via the public +interface. The functions are only exported while the tests are being run. +*/ + +package util + +// TstAppDataDir makes the internal appDataDir function available to the test +// package. +func TstAppDataDir(goos, appName string, roaming bool) string { + return appDataDir(goos, appName, roaming) +} diff --git a/common/util/path.go b/common/util/path.go new file mode 100644 index 0000000..7a4f190 --- /dev/null +++ b/common/util/path.go @@ -0,0 +1,65 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package util + +import ( + "os" + "os/user" + "path/filepath" + "runtime" + "strings" +) + +// CleanAndExpandPath expands environment variables and leading ~ in the +// passed path, cleans the result, and returns it. +func CleanAndExpandPath(path string) string { + // Nothing to do when no path is given. + if path == "" { + return path + } + + // NOTE: The os.ExpandEnv doesn't work with Windows cmd.exe-style + // %VARIABLE%, but the variables can still be expanded via POSIX-style + // $VARIABLE. + path = os.ExpandEnv(path) + + if !strings.HasPrefix(path, "~") { + return filepath.Clean(path) + } + + // Expand initial ~ to the current user's home directory, or ~otheruser + // to otheruser's home directory. On Windows, both forward and backward + // slashes can be used. + path = path[1:] + + var pathSeparators string + if runtime.GOOS == "windows" { + pathSeparators = string(os.PathSeparator) + "/" + } else { + pathSeparators = string(os.PathSeparator) + } + + userName := "" + if i := strings.IndexAny(path, pathSeparators); i != -1 { + userName = path[:i] + path = path[i:] + } + + homeDir := "" + var u *user.User + var err error + if userName == "" { + u, err = user.Current() + } else { + u, err = user.Lookup(userName) + } + if err == nil { + homeDir = u.HomeDir + } + // Fallback to CWD if user lookup fails or user has no home directory. + if homeDir == "" { + homeDir = "." + } + + return filepath.Join(homeDir, path) +} diff --git a/common/util/queue.go b/common/util/queue.go new file mode 100644 index 0000000..c46daff --- /dev/null +++ b/common/util/queue.go @@ -0,0 +1,26 @@ +package util + +type IterativeQueue []interface{} + +func NewIterativeQueue() IterativeQueue { + iq := make(IterativeQueue, 0) + return iq +} + +func (iq *IterativeQueue) Enqueue(item interface{}) { + *iq = append(*iq, item) +} + +func (iq *IterativeQueue) Peek() interface{} { + return (*iq)[0] +} + +func (iq *IterativeQueue) Dequeue() interface{} { + first := (*iq)[0] + *iq = (*iq)[1:] + return first +} + +func (iq *IterativeQueue) Len() int { + return len(*iq) +} diff --git a/common/util/rand_util.go b/common/util/rand_util.go new file mode 100644 index 0000000..05df33b --- /dev/null +++ b/common/util/rand_util.go @@ -0,0 +1,86 @@ +// Copyright 2017-2018 The qitmeer developers + +package util + +import ( + cryptorand "crypto/rand" + "encoding/hex" + "io" + "math/big" +) + +// ReadRand read size bytes from input rand +// if input rand is nil, use crypto/rand +func ReadSizedRand(rand io.Reader, size uint) []byte { + readBuff := make([]byte, size) + if rand == nil { + rand = cryptorand.Reader + } + _, err := io.ReadFull(rand, readBuff) + if err != nil { + panic("reading from crypto/rand failed: " + err.Error()) + } + return readBuff +} + +// PaddedAppend appends the src byte slice to dst, returning the new slice. +// If the length of the source is smaller than the passed size, leading zero +// bytes are appended to the dst slice before appending src. +// Example : +// Bitcoin uncompressed pubkey +// uncompressed := make([]byte, 0, 65) +// uncompressed = append(uncompressed, 0x01) +// uncompressed = PaddedAppend(32, uncompressed, p.X.Bytes()) +// uncompressed = PaddedAppend(32, uncompressed, p.Y.Bytes()) +func PaddedAppend(size uint, dst, src []byte) []byte { + for i := 0; i < int(size)-len(src); i++ { + dst = append(dst, 0) + } + return append(dst, src...) +} + +func RightPadBytes(slice []byte, l int) []byte { + if l <= len(slice) { + return slice + } + + padded := make([]byte, l) + copy(padded, slice) + + return padded +} + +func LeftPadBytes(slice []byte, l int) []byte { + if l <= len(slice) { + return slice + } + + padded := make([]byte, l) + copy(padded[l-len(slice):], slice) + + return padded +} + +// PaddedBytes encodes a big integer as a big-endian byte slice, if the length of +// byte slice is smaller than the passed size, leading zero bytes will be added. +// Example : +// Ethereum privatekey +// seckey := PaddedBigInt(32, prv.D) +// Ethereum pubkey +func PaddedBytes(size uint, n *big.Int) []byte { + if n.BitLen()/8 >= int(size) { + return n.Bytes() + } + return PaddedAppend(size, nil, n.Bytes()) +} + +// MustDecodeHex wrap the calling to hex.DecodeString() method to return the bytes +// represented by the hexadecimal string. It panics if an error occurs. +// This is useful in the tests or some special cases. +func MustDecodeHexString(hexStr string) []byte { + bytes, err := hex.DecodeString(hexStr) + if err != nil { + panic("invalid hex string in " + err.Error() + ", hex: " + hexStr) + } + return bytes +} diff --git a/common/util/rand_util_test.go b/common/util/rand_util_test.go new file mode 100644 index 0000000..217de03 --- /dev/null +++ b/common/util/rand_util_test.go @@ -0,0 +1,80 @@ +// Copyright 2017-2018 The qitmeer developers + +package util + +import ( + "bytes" + "encoding/base64" + "encoding/hex" + "fmt" + "github.com/stretchr/testify/assert" + "math/big" + "testing" +) + +func Test_ReadRand(t *testing.T) { + assert.Equal(t, 32, len(ReadSizedRand(nil, 32))) + assert.Equal(t, 64, len(ReadSizedRand(nil, 64))) + println(hex.EncodeToString(ReadSizedRand(nil, 32))) + println(base64.StdEncoding.EncodeToString(ReadSizedRand(nil, 32))) + println(hex.EncodeToString(ReadSizedRand(nil, 40))) + println(base64.StdEncoding.EncodeToString(ReadSizedRand(nil, 40))) + println(hex.EncodeToString(ReadSizedRand(nil, 64))) + println(base64.StdEncoding.EncodeToString(ReadSizedRand(nil, 64))) +} + +func Test_Padding(t *testing.T) { + out := PaddedBytes(32, new(big.Int).SetBytes([]byte{0, 1, 2, 3})) + assert.Equal(t, 32, len(out)) + fmt.Printf("%v\n", out) + out2 := PaddedAppend(16, []byte{1}, []byte{0, 1, 2, 3}) + fmt.Printf("%v\n", out2) + assert.Equal(t, 17, len(out2)) + out3 := PaddedAppend(16, nil, []byte{0, 1, 2, 3}) + fmt.Printf("%v\n", out3) +} + +var testInt = new(big.Int).SetBytes([]byte{0, 1, 2, 3}) + +func BenchmarkPaddedBigInt(b *testing.B) { + for i := 0; i < b.N; i++ { + PaddedBytes(32, testInt) + } +} + +func BenchmarkPaddedBigInt8(b *testing.B) { + for i := 0; i < b.N; i++ { + PaddedBytes(65, testInt) + } +} + +func TestMustDecodeHexPanic(t *testing.T) { + defer func() { + r := recover() + assert.NotNil(t, r) + errStr, ok := r.(string) + assert.True(t, ok) + assert.Equal(t, "invalid hex string in encoding/hex: invalid byte: U+0074 't', hex: test", errStr) + }() + MustDecodeHexString("test") + assert.Fail(t, "should not go here") +} +func TestMustDecodeHex(t *testing.T) { + b := MustDecodeHexString("123abc") + assert.NotNil(t, b) +} + +var sink []byte + +func BenchmarkEncode(b *testing.B) { + for _, size := range []int{256, 1024, 4096, 16384} { + src := bytes.Repeat([]byte{2, 3, 5, 7, 9, 11, 13, 17}, size/8) + sink = make([]byte, 2*size) + + b.Run(fmt.Sprintf("%v", size), func(b *testing.B) { + for i := 0; i < b.N; i++ { + hex.Encode(sink, src) + } + }) + } +} diff --git a/common/util/timesorter.go b/common/util/timesorter.go new file mode 100644 index 0000000..fedd769 --- /dev/null +++ b/common/util/timesorter.go @@ -0,0 +1,29 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2018 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package util + +// timeSorter implements sort.Interface to allow a slice of timestamps to +// be sorted. +type TimeSorter []int64 + +// Len returns the number of timestamps in the slice. It is part of the +// sort.Interface implementation. +func (s TimeSorter) Len() int { + return len(s) +} + +// Swap swaps the timestamps at the passed indices. It is part of the +// sort.Interface implementation. +func (s TimeSorter) Swap(i, j int) { + s[i], s[j] = s[j], s[i] +} + +// Less returns whether the timstamp with index i should sort before the +// timestamp with index j. It is part of the sort.Interface implementation. +func (s TimeSorter) Less(i, j int) bool { + return s[i] < s[j] +} diff --git a/common/util/wg_wapper.go b/common/util/wg_wapper.go new file mode 100644 index 0000000..224be34 --- /dev/null +++ b/common/util/wg_wapper.go @@ -0,0 +1,16 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package util + +import "sync" + +type WaitGroupWrapper struct { + sync.WaitGroup +} + +func (w *WaitGroupWrapper) Wrap(cb func()) { + w.Add(1) + go func() { + cb() + w.Done() + }() +} diff --git a/config/config.go b/config/config.go new file mode 100644 index 0000000..000851d --- /dev/null +++ b/config/config.go @@ -0,0 +1,107 @@ +package config + +import ( + "github.com/Qitmeer/qng-core/core/types" +) + +type Config struct { + HomeDir string `short:"A" long:"appdata" description:"Path to application home directory"` + ShowVersion bool `short:"V" long:"version" description:"Display version information and exit"` + ConfigFile string `short:"C" long:"configfile" description:"Path to configuration file"` + DataDir string `short:"b" long:"datadir" description:"Directory to store data"` + LogDir string `long:"logdir" description:"Directory to log output."` + NoFileLogging bool `long:"nofilelogging" description:"Disable file logging."` + Listener string `long:"listen" description:"Add an IP to listen for connections"` + DefaultPort string `long:"port" description:"Default p2p port."` + RPCListeners []string `long:"rpclisten" description:"Add an interface/port to listen for RPC connections (default port: 8131 , testnet: 18131)"` + MaxPeers int `long:"maxpeers" description:"Max number of inbound and outbound peers"` + DisableListen bool `long:"nolisten" description:"Disable listening for incoming connections"` + RPCUser string `short:"u" long:"rpcuser" description:"Username for RPC connections"` + RPCPass string `short:"P" long:"rpcpass" default-mask:"-" description:"Password for RPC connections"` + RPCCert string `long:"rpccert" description:"File containing the certificate file"` + RPCKey string `long:"rpckey" description:"File containing the certificate key"` + RPCMaxClients int `long:"rpcmaxclients" description:"Max number of RPC clients for standard connections"` + DisableRPC bool `long:"norpc" description:"Disable built-in RPC server -- NOTE: The RPC server is disabled by default if no rpcuser/rpcpass or rpclimituser/rpclimitpass is specified"` + DisableTLS bool `long:"notls" description:"Disable TLS for the RPC server -- NOTE: This is only allowed if the RPC server is bound to localhost"` + Modules []string `long:"modules" description:"Modules is a list of API modules(See GetNodeInfo) to expose via the HTTP RPC interface. If the module list is empty, all RPC API endpoints designated public will be exposed."` + DisableCheckpoints bool `long:"nocheckpoints" description:"Disable built-in checkpoints. Don't do this unless you know what you're doing."` + DropTxIndex bool `long:"droptxindex" description:"Deletes the hash-based transaction index from the database on start up and then exits."` + AddrIndex bool `long:"addrindex" description:"Maintain a full address-based transaction index which makes the getrawtransactions RPC available"` + DropAddrIndex bool `long:"dropaddrindex" description:"Deletes the address-based transaction index from the database on start up and then exits."` + LightNode bool `long:"light" description:"start as a qitmeer light node"` + SigCacheMaxSize uint `long:"sigcachemaxsize" description:"The maximum number of entries in the signature verification cache"` + DumpBlockchain string `long:"dumpblockchain" description:"Write blockchain as a flat file of blocks for use with addblock, to the specified filename"` + TestNet bool `long:"testnet" description:"Use the test network"` + MixNet bool `long:"mixnet" description:"Use the test mix pow network"` + PrivNet bool `long:"privnet" description:"Use the private network"` + DbType string `long:"dbtype" description:"Database backend to use for the Block Chain"` + Profile string `long:"profile" description:"Enable HTTP profiling on given [addr:]port -- NOTE port must be between 1024 and 65536"` + DebugLevel string `short:"d" long:"debuglevel" description:"Logging level {trace, debug, info, warn, error, critical} "` + DebugPrintOrigins bool `long:"printorigin" description:"Print log debug location (file:line) "` + // MemPool Config + NoRelayPriority bool `long:"norelaypriority" description:"Do not require free or low-fee transactions to have high priority for relaying"` + FreeTxRelayLimit float64 `long:"limitfreerelay" description:"Limit relay of transactions with no transaction fee to the given amount in thousands of bytes per minute"` + AcceptNonStd bool `long:"acceptnonstd" description:"Accept and relay non-standard transactions to the network regardless of the default settings for the active network."` + MaxOrphanTxs int `long:"maxorphantx" description:"Max number of orphan transactions to keep in memory"` + MinTxFee int64 `long:"mintxfee" description:"The minimum transaction fee in AtomMEER/kB."` + MempoolExpiry int64 `long:"mempoolexpiry" description:"Do not keep transactions in the mempool more than mempoolexpiry"` + Persistmempool bool `long:"persistmempool" description:"Whether to save the mempool on shutdown and load on restart"` + NoMempoolBar bool `long:"nomempoolbar" description:"Whether to show progress bar when load mempool from file"` + // Miner + Miner bool `long:"miner" description:"Enable miner module"` + Generate bool `long:"generate" description:"Generate (mine) coins using the CPU"` + MiningAddrs []string `long:"miningaddr" description:"Add the specified payment address to the list of addresses to use for generated blocks -- At least one address is required if the generate option is set"` + MiningTimeOffset int `long:"miningtimeoffset" description:"Offset the mining timestamp of a block by this many seconds (positive values are in the past)"` + BlockMinSize uint32 `long:"blockminsize" description:"Mininum block size in bytes to be used when creating a block"` + BlockMaxSize uint32 `long:"blockmaxsize" description:"Maximum block size in bytes to be used when creating a block"` + BlockPrioritySize uint32 `long:"blockprioritysize" description:"Size in bytes for high-priority/low-fee transactions when creating a block"` + miningAddrs []types.Address + //WebSocket support + RPCMaxWebsockets int `long:"rpcmaxwebsockets" description:"Max number of RPC websocket connections"` + RPCMaxConcurrentReqs int `long:"rpcmaxconcurrentreqs" description:"Max number of concurrent RPC requests that may be processed concurrently"` + //P2P + BlocksOnly bool `long:"blocksonly" description:"Do not accept transactions from remote peers."` + MiningStateSync bool `long:"miningstatesync" description:"Synchronizing the mining state with other nodes"` + AddPeers []string `short:"a" long:"addpeer" description:"Add a peer to connect with at startup"` + Upnp bool `long:"upnp" description:"Use UPnP to map our listening port outside of NAT"` + MaxInbound int `long:"maxinbound" description:"The max total of inbound peer for host"` + //P2P - server ban + Banning bool `long:"banning" description:"Enable banning of misbehaving peers"` + + DAGType string `short:"G" long:"dagtype" description:"DAG type {phantom,conflux,spectre} "` + Cleanup bool `short:"L" long:"cleanup" description:"Cleanup the block database "` + BuildLedger bool `long:"buildledger" description:"Generate the genesis ledger for the next qitmeer version."` + + Zmqpubhashblock string `long:"zmqpubhashblock" description:"Enable publish hash block in
"` + Zmqpubrawblock string `long:"zmqpubrawblock" description:"Enable publish raw block in
"` + + Zmqpubhashtx string `long:"zmqpubhashtx" description:"Enable publish hash transaction in
"` + Zmqpubrawtx string `long:"zmqpubrawtx" description:"Enable publish raw transaction in
"` + + // Cache Invalid tx + CacheInvalidTx bool `long:"cacheinvalidtx" description:"Cache invalid transactions."` + + NTP bool `long:"ntp" description:"Auto sync time."` + + //net2.0 + BootstrapNodes []string `long:"bootstrapnode" description:"The address of bootstrap node."` + NoDiscovery bool `long:"nodiscovery" description:"Enable only local network p2p and do not connect to cloud bootstrap nodes."` + MetaDataDir string `long:"metadatadir" description:"meta data dir for p2p"` + P2PUDPPort int `long:"p2pudpport" description:"The udp port used by P2P."` + P2PTCPPort int `long:"p2ptcpport" description:"The tcp port used by P2P."` + HostIP string `long:"externalip" description:"The IP address advertised by libp2p. This may be used to advertise an external IP."` + HostDNS string `long:"externaldns" description:"The DNS address advertised by libp2p. This may be used to advertise an external DNS."` + RelayNode string `long:"relaynode" description:"The address of relay node that routes traffic between two peers over a qitmeer “relay” peer."` + Whitelist []string `long:"whitelist" description:"Add an IP network or IP,PeerID that will not be banned or ignore dual channel mode detection. (eg. 192.168.1.0/24 or ::1 or [peer id])"` + Blacklist []string `long:"blacklist" description:"Add some IP network or IP that will be banned. (eg. 192.168.1.0/24 or ::1)"` + MaxBadResp int `long:"maxbadresp" description:"maxbadresp is the maximum number of bad responses from a peer before we stop talking to it."` + Circuit bool `long:"circuit" description:"All peers will ignore dual channel mode detection"` +} + +func (c *Config) GetMinningAddrs() []types.Address { + return c.miningAddrs +} + +func (c *Config) SetMiningAddrs(addr types.Address) { + c.miningAddrs = append(c.miningAddrs, addr) +} diff --git a/consensus/block.go b/consensus/block.go new file mode 100644 index 0000000..0fdd459 --- /dev/null +++ b/consensus/block.go @@ -0,0 +1,22 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package consensus + +import ( + "github.com/Qitmeer/qng-core/common/hash" + "time" +) + +type Block interface { + Decidable + Parent() *hash.Hash + Verify() error + Bytes() []byte + Height() uint64 + Timestamp() time.Time +} + +type BlockHeader interface { +} diff --git a/consensus/blockchain.go b/consensus/blockchain.go new file mode 100644 index 0000000..b216b20 --- /dev/null +++ b/consensus/blockchain.go @@ -0,0 +1,4 @@ +package consensus + +type BlockChain interface { +} diff --git a/consensus/chainvm.go b/consensus/chainvm.go new file mode 100644 index 0000000..22201ab --- /dev/null +++ b/consensus/chainvm.go @@ -0,0 +1,23 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package consensus + +import ( + "github.com/Qitmeer/qng-core/common/hash" +) + +type ChainVM interface { + VM + + GetBlock(*hash.Hash) (Block, error) + + BuildBlock([]Tx) (Block, error) + + ParseBlock([]byte) (Block, error) + + LastAccepted() (*hash.Hash, error) + + GetBalance(string) (int64, error) +} diff --git a/consensus/consensus.go b/consensus/consensus.go new file mode 100644 index 0000000..56dc735 --- /dev/null +++ b/consensus/consensus.go @@ -0,0 +1,72 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package consensus + +import ( + "math/big" +) + +// Any ConsensusState +type ConsensusState interface { +} + +type ConsensusAlgorithm interface { + SetState(state ConsensusState) (ConsensusState, error) +} + +// agree on a consensus state +type Consensus interface { + GetCurrentState() (ConsensusState, error) + Commit(state ConsensusState) (ConsensusState, error) + SetAlgorithm(algorithm ConsensusAlgorithm) +} + +type Operation interface { + ApplyTo(state ConsensusState) (ConsensusState, error) +} + +// agree on a operation that update the consensus state +type Agreement interface { + Commit(operation Operation) (ConsensusState, error) + GetHeadState() (ConsensusState, error) + Rollback(state ConsensusState) error +} + +// the algorithm agnostic consensus engine. +type BlockChainConsensue interface { + + // VerifySeal checks whether the crypto seal on a header is valid according to + // the consensus rules of the given engine. + Verify(chain BlockChain, header BlockHeader) error + + // Prepare initializes the consensus fields of a block header according to the + // rules of a particular engine. The changes are executed inline. + Prepare(chain BlockChain, header BlockHeader) error + + // Finalize runs any post-transaction state modifications (e.g. block rewards) + // and assembles the final block. + // Note: The block header and state database might be updated to reflect any + // consensus rules that happen at finalization (e.g. block rewards). + Finalize() (Block, error) + + // Generates a new block for the given input block with the local miner's + // seal place on top. + Generate(chain BlockChain, block Block, stop <-chan struct{}) (Block, error) +} + +// PoW is a consensus engine based on proof-of-work. +type PoW interface { + BlockChainConsensue + // CalcDifficulty is the difficulty adjustment algorithm. It returns the difficulty + // that a new block should have. + CalcDifficulty(chain BlockChain, time uint64, parent BlockHeader) *big.Int + + // Hashrate returns the current mining hashrate of a PoW consensus engine. + Hashrate() float64 +} + +type PoA interface { + BlockChainConsensue +} diff --git a/consensus/context.go b/consensus/context.go new file mode 100644 index 0000000..62be85a --- /dev/null +++ b/consensus/context.go @@ -0,0 +1,11 @@ +package consensus + +import ( + "context" + "github.com/Qitmeer/qng-core/config" +) + +type Context interface { + context.Context + GetConfig() *config.Config +} diff --git a/consensus/decidable.go b/consensus/decidable.go new file mode 100644 index 0000000..8998b1f --- /dev/null +++ b/consensus/decidable.go @@ -0,0 +1,14 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package consensus + +import "github.com/Qitmeer/qng-core/common/hash" + +type Decidable interface { + ID() *hash.Hash + Accept() error + Reject() error + Status() Status +} diff --git a/consensus/status.go b/consensus/status.go new file mode 100644 index 0000000..1dadb06 --- /dev/null +++ b/consensus/status.go @@ -0,0 +1,91 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package consensus + +import ( + "fmt" +) + +type Status byte + +const ( + Unknown Status = iota + Processing + Rejected + Accepted +) + +func (s Status) MarshalJSON() ([]byte, error) { + if err := s.Valid(); err != nil { + return nil, err + } + return []byte("\"" + s.String() + "\""), nil +} + +func (s *Status) UnmarshalJSON(b []byte) error { + str := string(b) + if str == "null" { + return nil + } + switch str { + case "\"Unknown\"": + *s = Unknown + case "\"Processing\"": + *s = Processing + case "\"Rejected\"": + *s = Rejected + case "\"Accepted\"": + *s = Accepted + default: + return fmt.Errorf("unknown status:%s", str) + } + return nil +} + +func (s Status) Fetched() bool { + switch s { + case Processing: + return true + default: + return s.Decided() + } +} + +func (s Status) Decided() bool { + switch s { + case Rejected, Accepted: + return true + default: + return false + } +} + +func (s Status) Valid() error { + switch s { + case Unknown, Processing, Rejected, Accepted: + return nil + default: + return fmt.Errorf("unknown status") + } +} + +func (s Status) String() string { + switch s { + case Unknown: + return "Unknown" + case Processing: + return "Processing" + case Rejected: + return "Rejected" + case Accepted: + return "Accepted" + default: + return "Invalid status" + } +} + +func (s Status) Bytes() []byte { + return []byte{byte(s)} +} diff --git a/consensus/status_test.go b/consensus/status_test.go new file mode 100644 index 0000000..2ecff3f --- /dev/null +++ b/consensus/status_test.go @@ -0,0 +1,69 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +// (c) 2019-2020, Ava Labs, Inc. All rights reserved. +// See the file LICENSE for licensing terms. + +package consensus + +import ( + "math" + "testing" +) + +func TestStatusValid(t *testing.T) { + if err := Accepted.Valid(); err != nil { + t.Fatalf("%s failed verification", Accepted) + } else if err := Rejected.Valid(); err != nil { + t.Fatalf("%s failed verification", Rejected) + } else if err := Processing.Valid(); err != nil { + t.Fatalf("%s failed verification", Processing) + } else if err := Unknown.Valid(); err != nil { + t.Fatalf("%s failed verification", Unknown) + } else if badStatus := Status(math.MaxUint8); badStatus.Valid() == nil { + t.Fatalf("%s passed verification", badStatus) + } +} + +func TestStatusDecided(t *testing.T) { + if !Accepted.Decided() { + t.Fatalf("%s failed decision", Accepted) + } else if !Rejected.Decided() { + t.Fatalf("%s failed decision", Rejected) + } else if Processing.Decided() { + t.Fatalf("%s failed decision", Processing) + } else if Unknown.Decided() { + t.Fatalf("%s failed decision", Unknown) + } else if badStatus := Status(math.MaxUint8); badStatus.Decided() { + t.Fatalf("%s failed decision", badStatus) + } +} + +func TestStatusFetched(t *testing.T) { + if !Accepted.Fetched() { + t.Fatalf("%s failed issue", Accepted) + } else if !Rejected.Fetched() { + t.Fatalf("%s failed issue", Rejected) + } else if !Processing.Fetched() { + t.Fatalf("%s failed issue", Processing) + } else if Unknown.Fetched() { + t.Fatalf("%s failed issue", Unknown) + } else if badStatus := Status(math.MaxUint8); badStatus.Fetched() { + t.Fatalf("%s failed issue", badStatus) + } +} + +func TestStatusString(t *testing.T) { + if Accepted.String() != "Accepted" { + t.Fatalf("%s failed printing", Accepted) + } else if Rejected.String() != "Rejected" { + t.Fatalf("%s failed printing", Rejected) + } else if Processing.String() != "Processing" { + t.Fatalf("%s failed printing", Processing) + } else if Unknown.String() != "Unknown" { + t.Fatalf("%s failed printing", Unknown) + } else if badStatus := Status(math.MaxUint8); badStatus.String() != "Invalid status" { + t.Fatalf("%s failed printing", badStatus) + } +} diff --git a/consensus/tx.go b/consensus/tx.go new file mode 100644 index 0000000..0cbc7e7 --- /dev/null +++ b/consensus/tx.go @@ -0,0 +1,16 @@ +package consensus + +import "github.com/Qitmeer/qng-core/core/types" + +const ( + TxTypeCrossChainExport types.TxType = 0x0101 // Cross chain by export tx + TxTypeCrossChainImport types.TxType = 0x0102 // Cross chain by import tx +) + +type Tx interface { + GetTxType() types.TxType + GetFrom() string + GetTo() string + GetValue() uint64 + GetData() []byte +} diff --git a/consensus/vm.go b/consensus/vm.go new file mode 100644 index 0000000..22cc843 --- /dev/null +++ b/consensus/vm.go @@ -0,0 +1,14 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package consensus + +type VM interface { + GetID() string + Initialize(ctx Context) error + Bootstrapping() error + Bootstrapped() error + Shutdown() error + Version() string +} diff --git a/core/address/address.go b/core/address/address.go new file mode 100644 index 0000000..f35432b --- /dev/null +++ b/core/address/address.go @@ -0,0 +1,586 @@ +// Copyright 2017-2018 The qitmeer developers + +package address + +import ( + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/encode/base58" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/params" + "golang.org/x/crypto/ripemd160" +) + +// encodeAddress returns a human-readable payment address given a ripemd160 hash +// and netID which encodes the network and address type. It is used in both +// pay-to-pubkey-hash (P2PKH) and pay-to-script-hash (P2SH) address encoding. +func encodeAddress(hash160 []byte, netID [2]byte) string { + // Format is 2 bytes for a network and address class (i.e. P2PKH vs + // P2SH), 20 bytes for a RIPEMD160 hash, and 4 bytes of checksum. + res, _ := base58.QitmeerCheckEncode(hash160[:ripemd160.Size], netID[:]) + return string(res) +} + +// encodePKAddress returns a human-readable payment address to a public key +// given a serialized public key, a netID, and a signature suite. +func encodePKAddress(serializedPK []byte, netID [2]byte, algo ecc.EcType) string { + pubKeyBytes := []byte{0x00} + + switch algo { + case ecc.ECDSA_Secp256k1: + pubKeyBytes[0] = byte(ecc.ECDSA_Secp256k1) + case ecc.EdDSA_Ed25519: + pubKeyBytes[0] = byte(ecc.EdDSA_Ed25519) + case ecc.ECDSA_SecpSchnorr: + pubKeyBytes[0] = byte(ecc.ECDSA_SecpSchnorr) + } + + // Pubkeys are encoded as [0] = type/ybit, [1:33] = serialized pubkey + compressed := serializedPK + if algo == ecc.ECDSA_Secp256k1 || algo == ecc.ECDSA_SecpSchnorr { + pub, err := ecc.Secp256k1.ParsePubKey(serializedPK) + if err != nil { + return "" + } + pubSerComp := pub.SerializeCompressed() + + // Set the y-bit if needed. + if pubSerComp[0] == 0x03 { + pubKeyBytes[0] |= (1 << 7) + } + + compressed = pubSerComp[1:] + } + + pubKeyBytes = append(pubKeyBytes, compressed...) + res, _ := base58.QitmeerCheckEncode(pubKeyBytes, netID[:]) + return string(res) +} + +// PubKeyHashAddress is an Address for a pay-to-pubkey-hash (P2PKH) +// transaction. +type PubKeyHashAddress struct { + net *params.Params + netID [2]byte + hash [ripemd160.Size]byte +} + +// NewAddressPubKeyHash returns a new AddressPubKeyHash. pkHash must +// be 20 bytes. +func NewPubKeyHashAddress(pkHash []byte, net *params.Params, algo ecc.EcType) (*PubKeyHashAddress, error) { + var addrID [2]byte + switch algo { + case ecc.ECDSA_Secp256k1: + addrID = net.PubKeyHashAddrID + case ecc.EdDSA_Ed25519: + addrID = net.PKHEdwardsAddrID + case ecc.ECDSA_SecpSchnorr: + addrID = net.PKHSchnorrAddrID + default: + return nil, errors.New("unknown ECDSA algorithm") + } + apkh, err := newPubKeyHashAddress(pkHash, addrID) + if err != nil { + return nil, err + } + apkh.net = net + return apkh, nil +} + +// NewPubKeyHashAddressByNetId returns a new PubKeyHashAddress from net id directly instead from params +func NewPubKeyHashAddressByNetId(pkHash []byte, netID [2]byte) (*PubKeyHashAddress, + error) { + apkh, err := newPubKeyHashAddress(pkHash, netID) + if err != nil { + return nil, err + } + return apkh, nil +} + +// newPubKeyHashAddress is the internal API to create a pubkey hash address +// with a known leading identifier byte for a network, rather than looking +// it up through its parameters. This is useful when creating a new address +// structure from a string encoding where the identifer byte is already +// known. +func newPubKeyHashAddress(pkHash []byte, netID [2]byte) (*PubKeyHashAddress, + error) { + // Check for a valid pubkey hash length. + if len(pkHash) != ripemd160.Size { + return nil, errors.New("pkHash must be 20 bytes") + } + addr := &PubKeyHashAddress{netID: netID} + copy(addr.hash[:], pkHash) + return addr, nil +} + +// EcType returns the digital signature algorithm for the associated public key +// hash. +func (a *PubKeyHashAddress) EcType() ecc.EcType { + switch a.netID { + case a.net.PubKeyHashAddrID: + return ecc.ECDSA_Secp256k1 + case a.net.PKHEdwardsAddrID: + return ecc.EdDSA_Ed25519 + case a.net.PKHSchnorrAddrID: + return ecc.ECDSA_SecpSchnorr + } + return -1 +} +func (a *PubKeyHashAddress) Encode() string { + //TODO error handling + return encodeAddress(a.hash[:], a.netID) +} + +// String returns a human-readable string for the pay-to-pubkey-hash address. +// This is equivalent to calling EncodeAddress, but is provided so the type can +// be used as a fmt.Stringer. +func (a *PubKeyHashAddress) String() string { + return a.Encode() +} + +func (a *PubKeyHashAddress) Hash160() *[ripemd160.Size]byte { + return &a.hash +} + +type PubKeyAddress struct { + pk []byte + addrType types.AddressType +} + +// NewAddressPubKey returns a new Address. decoded must +// be 33 bytes. +func NewPubKeyAddress(decoded []byte, net *params.Params) (types.Address, error) { + if len(decoded) == 33 { + // First byte is the signature suite and ybit. + suite := decoded[0] + suite &= ^uint8(1 << 7) + ybit := !(decoded[0]&(1<<7) == 0) + toAppend := uint8(0x02) + if ybit { + toAppend = 0x03 + } + switch ecc.EcType(suite) { + case ecc.ECDSA_Secp256k1: + return NewSecpPubKeyAddress( + append([]byte{toAppend}, decoded[1:]...), + net) + case ecc.EdDSA_Ed25519: + return NewEdwardsPubKeyAddress(decoded, net) + case ecc.ECDSA_SecpSchnorr: + return NewSecSchnorrPubKeyAddress( + append([]byte{toAppend}, decoded[1:]...), + net) + } + return nil, ErrUnknownAddressType + } + return nil, ErrUnknownAddressType +} + +// Script returns the bytes to be included in a txout script to pay +// to a pubkey hash. Part of the Address interface. +func (a *PubKeyHashAddress) Script() []byte { + return a.hash[:] +} + +// ScriptHashAddress is an Address for a pay-to-script-hash (P2SH) +// transaction. +type ScriptHashAddress struct { + net *params.Params + hash [ripemd160.Size]byte + netID [2]byte +} + +// NewAddressScriptHash returns a new AddressScriptHash. +func NewScriptHashAddress(serializedScript []byte, net *params.Params) (*ScriptHashAddress, error) { + scriptHash := hash.Hash160(serializedScript) + return newScriptHashAddressFromHash(scriptHash, net.ScriptHashAddrID) +} + +// NewAddressScriptHashFromHash returns a new AddressScriptHash. scriptHash +// must be 20 bytes. +func NewScriptHashAddressFromHash(scriptHash []byte, net *params.Params) (*ScriptHashAddress, error) { + ash, err := newScriptHashAddressFromHash(scriptHash, net.ScriptHashAddrID) + if err != nil { + return nil, err + } + ash.net = net + + return ash, nil +} + +// newAddressScriptHashFromHash is the internal API to create a script hash +// address with a known leading identifier byte for a network, rather than +// looking it up through its parameters. This is useful when creating a new +// address structure from a string encoding where the identifer byte is already +// known. +func newScriptHashAddressFromHash(scriptHash []byte, netID [2]byte) (*ScriptHashAddress, error) { + // Check for a valid script hash length. + if len(scriptHash) != ripemd160.Size { + return nil, errors.New("scriptHash must be 20 bytes") + } + + addr := &ScriptHashAddress{netID: netID} + copy(addr.hash[:], scriptHash) + return addr, nil +} + +// Hash160 returns the underlying array of the script hash. This can be useful +// when an array is more appropriate than a slice (for example, when used as map +// keys). +func (a *ScriptHashAddress) Hash160() *[ripemd160.Size]byte { + return &a.hash +} + +// EncodeAddress returns the string encoding of a pay-to-script-hash +// address. Part of the Address interface. +func (a *ScriptHashAddress) Encode() string { + return encodeAddress(a.hash[:], a.netID) +} + +func (a *ScriptHashAddress) String() string { + return a.Encode() +} + +func (a *ScriptHashAddress) EcType() ecc.EcType { + return ecc.ECDSA_Secp256k1 +} + +// Script returns the bytes to be included in a txout script to pay +// to a script hash. Part of the Address interface. +func (a *ScriptHashAddress) Script() []byte { + return a.hash[:] +} + +// PubKeyFormat describes what format to use for a pay-to-pubkey address. +type PubKeyFormat int + +const ( + // PKFUncompressed indicates the pay-to-pubkey address format is an + // uncompressed public key. + PKFUncompressed PubKeyFormat = iota + + // PKFCompressed indicates the pay-to-pubkey address format is a + // compressed public key. + PKFCompressed +) + +// SecpPubKeyAddress is an Address for a secp256k1 pay-to-pubkey transaction. +type SecpPubKeyAddress struct { + net *params.Params + pubKeyFormat PubKeyFormat + pubKey ecc.PublicKey + pubKeyHashID [2]byte +} + +// NewSecpPubKeyCompressedAddress creates a new address using a compressed public key +func NewSecpPubKeyCompressedAddress(pubkey ecc.PublicKey, params *params.Params) (*SecpPubKeyAddress, error) { + return NewSecpPubKeyAddress(pubkey.SerializeCompressed(), params) +} + +// ErrInvalidPubKeyFormat indicates that a serialized pubkey is unusable as it +// is neither in the uncompressed or compressed format. +var ErrInvalidPubKeyFormat = errors.New("invalid pubkey format") + +// NewAddressSecpPubKey returns a new AddressSecpPubKey which represents a +// pay-to-pubkey address, using a secp256k1 pubkey. The serializedPubKey +// parameter must be a valid pubkey and must be uncompressed or compressed. +func NewSecpPubKeyAddress(serializedPubKey []byte, + net *params.Params) (*SecpPubKeyAddress, error) { + pubKey, err := ecc.Secp256k1.ParsePubKey(serializedPubKey) + + if err != nil { + return nil, err + } + + // Set the format of the pubkey. This probably should be returned + // from the crypto layer, but do it here to avoid API churn. We already know the + // pubkey is valid since it parsed above, so it's safe to simply examine + // the leading byte to get the format. + var pkFormat PubKeyFormat + switch serializedPubKey[0] { + case 0x02, 0x03: + pkFormat = PKFCompressed + case 0x04: + pkFormat = PKFUncompressed + default: + return nil, ErrInvalidPubKeyFormat + } + + return &SecpPubKeyAddress{ + net: net, + pubKeyFormat: pkFormat, + pubKey: pubKey, + pubKeyHashID: net.PubKeyHashAddrID, + }, nil +} + +// EncodeAddress returns the string encoding of the public key as a +// pay-to-pubkey-hash. Note that the public key format (uncompressed, +// compressed, etc) will change the resulting address. This is expected since +// pay-to-pubkey-hash is a hash of the serialized public key which obviously +// differs with the format. +// Part of the Address interface. +func (a *SecpPubKeyAddress) Encode() string { + return encodeAddress(hash.Hash160(a.serialize()), a.pubKeyHashID) +} + +// String returns the hex-encoded human-readable string for the pay-to-pubkey +// address. This is not the same as calling EncodeAddress. +func (a *SecpPubKeyAddress) String() string { + return encodePKAddress(a.serialize(), a.net.PubKeyAddrID, + ecc.ECDSA_Secp256k1) +} + +// serialize returns the serialization of the public key according to the +// format associated with the address. +func (a *SecpPubKeyAddress) serialize() []byte { + switch a.pubKeyFormat { + default: + fallthrough + case PKFUncompressed: + return a.pubKey.SerializeUncompressed() + + case PKFCompressed: + return a.pubKey.SerializeCompressed() + } +} + +func (a *SecpPubKeyAddress) EcType() ecc.EcType { + return ecc.ECDSA_Secp256k1 +} + +// Hash160 returns the underlying array of the pubkey hash. This can be useful +// when an array is more appropriate than a slice (for example, when used as map +// keys). +func (a *SecpPubKeyAddress) Hash160() *[ripemd160.Size]byte { + h160 := hash.Hash160(a.pubKey.SerializeCompressed()) + array := new([ripemd160.Size]byte) + copy(array[:], h160) + + return array +} + +// PubKey returns the underlying public key for the address. +func (a *SecpPubKeyAddress) PubKey() ecc.PublicKey { + return a.pubKey +} + +// PKHAddress returns the pay-to-pubkey address converted to a +// pay-to-pubkey-hash address. Note that the public key format (uncompressed, +// compressed, etc) will change the resulting address. This is expected since +// pay-to-pubkey-hash is a hash of the serialized public key which obviously +// differs with the format. +func (a *SecpPubKeyAddress) PKHAddress() *PubKeyHashAddress { + return toPKHAddress(a.net, a.pubKeyHashID, a.serialize()) +} + +func toPKHAddress(net *params.Params, netID [2]byte, b []byte) *PubKeyHashAddress { + addr := &PubKeyHashAddress{net: net, netID: netID} + copy(addr.hash[:], hash.Hash160(b)) + return addr +} + +// Script returns the bytes to be included in a txout script to pay +// to a public key. Setting the public key format will affect the output of +// this function accordingly. Part of the Address interface. +func (a *SecpPubKeyAddress) Script() []byte { + return a.serialize() +} + +// EdwardsPubKeyAddress is an Address for an Ed25519 pay-to-pubkey transaction. +type EdwardsPubKeyAddress struct { + net *params.Params + pubKey ecc.PublicKey + pubKeyHashID [2]byte +} + +// NewAddressEdwardsPubKey returns a new AddressEdwardsPubKey which represents a +// pay-to-pubkey address, using an Ed25519 pubkey. The serializedPubKey +// parameter must be a valid 32 byte serialized public key. +func NewEdwardsPubKeyAddress(serializedPubKey []byte, + net *params.Params) (*EdwardsPubKeyAddress, error) { + pubKey, err := ecc.Ed25519.ParsePubKey(serializedPubKey) + if err != nil { + return nil, err + } + + return &EdwardsPubKeyAddress{ + net: net, + pubKey: pubKey, + pubKeyHashID: net.PKHEdwardsAddrID, + }, nil +} + +func (a *EdwardsPubKeyAddress) EcType() ecc.EcType { + return ecc.EdDSA_Ed25519 +} +func (a *EdwardsPubKeyAddress) Encode() string { + return encodeAddress(hash.Hash160(a.serialize()), a.pubKeyHashID) +} + +// String returns the hex-encoded human-readable string for the pay-to-pubkey +// address. This is not the same as calling EncodeAddress. +func (a *EdwardsPubKeyAddress) String() string { + return encodePKAddress(a.serialize(), a.net.PubKeyAddrID, + ecc.EdDSA_Ed25519) +} + +// serialize returns the serialization of the public key. +func (a *EdwardsPubKeyAddress) serialize() []byte { + return a.pubKey.Serialize() +} + +// Hash160 returns the underlying array of the pubkey hash. This can be useful +// when an array is more appropriate than a slice (for example, when used as map +// keys). +func (a *EdwardsPubKeyAddress) Hash160() *[ripemd160.Size]byte { + h160 := hash.Hash160(a.pubKey.Serialize()) + array := new([ripemd160.Size]byte) + copy(array[:], h160) + return array +} + +func (a *EdwardsPubKeyAddress) PKHAddress() *PubKeyHashAddress { + return toPKHAddress(a.net, a.pubKeyHashID, a.serialize()) +} + +// Script returns the bytes to be included in a txout script to pay +// to a public key. Setting the public key format will affect the output of +// this function accordingly. Part of the Address interface. +func (a *EdwardsPubKeyAddress) Script() []byte { + return a.serialize() +} + +// SecSchnorrPubKeyAddress is an Address for a secp256k1-schnorr pay-to-pubkey transaction. +type SecSchnorrPubKeyAddress struct { + net *params.Params + pubKey ecc.PublicKey + pubKeyHashID [2]byte +} + +// NewAddressSecSchnorrPubKey returns a new AddressSecpPubKey which represents a +// pay-to-pubkey address, using a secp256k1 pubkey. The serializedPubKey +// parameter must be a valid pubkey and must be compressed. +func NewSecSchnorrPubKeyAddress(serializedPubKey []byte, + net *params.Params) (*SecSchnorrPubKeyAddress, error) { + pubKey, err := ecc.SecSchnorr.ParsePubKey(serializedPubKey) + if err != nil { + return nil, err + } + return &SecSchnorrPubKeyAddress{ + net: net, + pubKey: pubKey, + pubKeyHashID: net.PKHSchnorrAddrID, + }, nil +} + +func (a *SecSchnorrPubKeyAddress) EcType() ecc.EcType { + return ecc.ECDSA_SecpSchnorr +} + +func (a *SecSchnorrPubKeyAddress) Encode() string { + return encodeAddress(hash.Hash160(a.serialize()), a.pubKeyHashID) +} + +// String returns the hex-encoded human-readable string for the pay-to-pubkey +// address. This is not the same as calling EncodeAddress. +func (a *SecSchnorrPubKeyAddress) String() string { + return encodePKAddress(a.serialize(), a.net.PubKeyAddrID, + ecc.ECDSA_SecpSchnorr) +} + +func (a *SecSchnorrPubKeyAddress) serialize() []byte { + return a.pubKey.Serialize() +} + +// Hash160 returns the underlying array of the pubkey hash. This can be useful +// when an array is more appropriate than a slice (for example, when used as map +// keys). +func (a *SecSchnorrPubKeyAddress) Hash160() *[ripemd160.Size]byte { + h160 := hash.Hash160(a.pubKey.Serialize()) + array := new([ripemd160.Size]byte) + copy(array[:], h160) + return array +} + +func (a *SecSchnorrPubKeyAddress) PKHAddress() *PubKeyHashAddress { + return toPKHAddress(a.net, a.pubKeyHashID, a.serialize()) +} + +// Script returns the bytes to be included in a txout script to pay +// to a public key. Setting the public key format will affect the output of +// this function accordingly. Part of the Address interface. +func (a *SecSchnorrPubKeyAddress) Script() []byte { + return a.serialize() +} + +type ContractAddress struct { + pk []byte + addrType types.AddressType +} + +// DecodeAddress decodes the string encoding of an address and returns +// the Address if addr is a valid encoding for a known address type +func DecodeAddress(addr string) (types.Address, error) { + // Switch on decoded length to determine the type. + decoded, netID, err := base58.QitmeerCheckDecode(addr) + if err != nil { + if err == base58.ErrChecksum { + return nil, ErrChecksumMismatch + } + return nil, fmt.Errorf("decoded address is of unknown format: %v", + err.Error()) + } + + // TODO, refactor the params design for address + net, err := detectNetworkForAddress(addr) + if err != nil { + return nil, ErrUnknownAddressType + } + + // TODO, refactor the params design for address + switch netID { + case net.PubKeyAddrID: + return NewPubKeyAddress(decoded, net) + + case net.PubKeyHashAddrID: + return NewPubKeyHashAddress(decoded, net, ecc.ECDSA_Secp256k1) + + case net.PKHEdwardsAddrID: + return NewPubKeyHashAddress(decoded, net, ecc.EdDSA_Ed25519) + + case net.PKHSchnorrAddrID: + return NewPubKeyHashAddress(decoded, net, ecc.ECDSA_SecpSchnorr) + + case net.ScriptHashAddrID: + return NewScriptHashAddressFromHash(decoded, net) + + default: + return nil, ErrUnknownAddressType + } +} + +// TODO, refactor the params design for address +// detectNetworkForAddress pops the first character from a string encoded +// address and detects what network type it is for. +func detectNetworkForAddress(addr string) (*params.Params, error) { + if len(addr) < 1 { + return nil, fmt.Errorf("empty string given for network detection") + } + + networkChar := addr[0:1] + switch networkChar { + case params.MainNetParams.NetworkAddressPrefix: + return ¶ms.MainNetParams, nil + case params.TestNetParams.NetworkAddressPrefix: + return ¶ms.TestNetParams, nil + case params.PrivNetParams.NetworkAddressPrefix: + return ¶ms.PrivNetParams, nil + case params.MixNetParam.NetworkAddressPrefix: + return ¶ms.MixNetParams, nil + } + + return nil, fmt.Errorf("unknown network type in string encoded address") +} diff --git a/core/address/address_test.go b/core/address/address_test.go new file mode 100644 index 0000000..3c88581 --- /dev/null +++ b/core/address/address_test.go @@ -0,0 +1,338 @@ +// Copyright (c) 2013, 2014 The btcsuite developers +// Copyright (c) 2015-2019 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package address + +import ( + "bytes" + "github.com/Qitmeer/qng-core/common/encode/base58" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/params" + // "fmt" + "reflect" + // "fmt" + // "qitmeer/params" + "encoding/hex" + // "qitmeer/common/encode/base58" + "golang.org/x/crypto/ripemd160" + // "qitmeer/common/hash" + "testing" +) + +func TestAddress(t *testing.T) { + mainNetParams := ¶ms.MainNetParams + testNetParams := ¶ms.TestNetParams + privNetParams := ¶ms.PrivNetParams + mixNetParams := ¶ms.MixNetParams + tests := []struct { + name string + addr string + pubkeystr string + encoded string + // verify that result and function results are consistent + valid bool + result types.Address + f func() (types.Address, error) + net *params.Params + }{ + { + // prikey 7e445aa5ffd834cb2d3b2db50f8997dd21af29bec3d296aaa066d902b93f484b + name: "privNet p2pkh NewPubKeyHashAddress", + addr: "XmNZ52HdwsBWUK4TAhyXfYhZ1NcJ9HC88oh", + pubkeystr: "0354455a60d86273d322eebb913d87f428988ce97922a366f0a0867a426df78bc9", + encoded: "XmNZ52HdwsBWUK4TAhyXfYhZ1NcJ9HC88oh", + valid: true, + result: &PubKeyHashAddress{ + net: mixNetParams, + netID: mixNetParams.PubKeyHashAddrID, + hash: [ripemd160.Size]byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83} + return NewPubKeyHashAddress(pushData, mixNetParams, ecc.ECDSA_Secp256k1) + }, + net: mixNetParams, + }, + { + // prikey 7e445aa5ffd834cb2d3b2db50f8997dd21af29bec3d296aaa066d902b93f484b + name: "privNet p2pkh NewPubKeyHashAddress", + addr: "RmKCKKMoji8gau8rEY5Qz6F7VxGSCL4bSWV", + pubkeystr: "0354455a60d86273d322eebb913d87f428988ce97922a366f0a0867a426df78bc9", + encoded: "RmKCKKMoji8gau8rEY5Qz6F7VxGSCL4bSWV", + valid: true, + result: &PubKeyHashAddress{ + net: privNetParams, + netID: privNetParams.PubKeyHashAddrID, + hash: [ripemd160.Size]byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83} + return NewPubKeyHashAddress(pushData, privNetParams, ecc.ECDSA_Secp256k1) + }, + net: privNetParams, + }, + { + // prikey 7e445aa5ffd834cb2d3b2db50f8997dd21af29bec3d296aaa066d902b93f484b + name: "mainNet p2pkh NewPubKeyHashAddress", + addr: "MmYWtAp7nkDmuqUYLSRZQn2LMRi2rsAdJLr", + pubkeystr: "0354455a60d86273d322eebb913d87f428988ce97922a366f0a0867a426df78bc9", + encoded: "MmYWtAp7nkDmuqUYLSRZQn2LMRi2rsAdJLr", + valid: true, + result: &PubKeyHashAddress{ + net: mainNetParams, + netID: mainNetParams.PubKeyHashAddrID, + hash: [ripemd160.Size]byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83} + return NewPubKeyHashAddress(pushData, mainNetParams, ecc.ECDSA_Secp256k1) + }, + net: mainNetParams, + }, + { + // prikey 7e445aa5ffd834cb2d3b2db50f8997dd21af29bec3d296aaa066d902b93f484b + name: "testNet p2pkh NewPubKeyHashAddress", + addr: "TnQYqqxYaKdXYtGRSfALjCjKS74QhEXaQZp", + pubkeystr: "0354455a60d86273d322eebb913d87f428988ce97922a366f0a0867a426df78bc9", + encoded: "TnQYqqxYaKdXYtGRSfALjCjKS74QhEXaQZp", + valid: true, + result: &PubKeyHashAddress{ + net: testNetParams, + netID: testNetParams.PubKeyHashAddrID, + hash: [ripemd160.Size]byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83} + return NewPubKeyHashAddress(pushData, testNetParams, ecc.ECDSA_Secp256k1) + }, + net: testNetParams, + }, + { + // p2pkh wrong hash length + // prikey 7e445aa5ffd834cb2d3b2db50f8997dd21af29bec3d296aaa066d902b93f484b + name: "testNet p2pkh wrong hash length NewPubKeyHashAddress", + pubkeystr: "035f25055b418fc2ec3be35ff34e0e4bd5aff7e49bfa5b6d99642e4a11ed866cc2", + encoded: "TmghL12FzxT8bXMpnNjjwmNQ4hTa9LWK5sH", + valid: false, + f: func() (types.Address, error) { + pushData := []byte{ + 0x8d, 0xc2, 0x68, 0xa8, 0xe2, 0x87, 0x6b, 0x94, 0x1b, 0x95, + 0xf3, 0xbd, 0x3b, 0x71, 0x05, 0x0f, 0x00, 0x3c, 0x53, 0x83, 0x12} + return NewPubKeyHashAddress(pushData, testNetParams, ecc.ECDSA_Secp256k1) + }, + net: testNetParams, + }, + // p2sh address + { + name: "privNet p2sh NewAddressScriptHashFromHash", + addr: "RSNJopyNcHBnzGt8WHHBfnz8Mxob85fVAGG", + encoded: "RSNJopyNcHBnzGt8WHHBfnz8Mxob85fVAGG", + valid: true, + result: &ScriptHashAddress{ + net: privNetParams, + netID: privNetParams.ScriptHashAddrID, + hash: [ripemd160.Size]byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30} + return NewScriptHashAddressFromHash(pushData, privNetParams) + }, + net: privNetParams, + }, + { + name: "mainNet p2sh NewAddressScriptHashFromHash", + addr: "MSCHmhKPNc6RSPngXACzmze5RojvqusFGeN", + encoded: "MSCHmhKPNc6RSPngXACzmze5RojvqusFGeN", + valid: true, + result: &ScriptHashAddress{ + net: mainNetParams, + netID: mainNetParams.ScriptHashAddrID, + hash: [ripemd160.Size]byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30} + return NewScriptHashAddressFromHash(pushData, mainNetParams) + }, + net: mainNetParams, + }, + { + name: "testNet p2sh NewAddressScriptHashFromHash", + addr: "TSFeXQFDam9FKoiHTL77TT6WwE5nnviGr8k", + encoded: "TSFeXQFDam9FKoiHTL77TT6WwE5nnviGr8k", + valid: true, + result: &ScriptHashAddress{ + net: testNetParams, + netID: testNetParams.ScriptHashAddrID, + hash: [ripemd160.Size]byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30} + return NewScriptHashAddressFromHash(pushData, testNetParams) + }, + net: testNetParams, + }, + { + name: "mixNet p2sh NewAddressScriptHashFromHash", + addr: "XSRfZXuCpSEcsgojSTBJMFSZsP9T58yB1Z5", + encoded: "XSRfZXuCpSEcsgojSTBJMFSZsP9T58yB1Z5", + valid: true, + result: &ScriptHashAddress{ + net: mixNetParams, + netID: mixNetParams.ScriptHashAddrID, + hash: [ripemd160.Size]byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30}, + }, + f: func() (types.Address, error) { + pushData := []byte{ + 0x77, 0xca, 0x77, 0xb8, 0x27, 0x72, 0xbb, 0xf6, 0x86, 0x27, + 0xe5, 0x00, 0x44, 0xa0, 0x82, 0x3e, 0xa9, 0xaf, 0x4f, 0x30} + return NewScriptHashAddressFromHash(pushData, mixNetParams) + }, + net: mixNetParams, + }, + } + for _, test := range tests { + decoded, err := DecodeAddress(test.addr) + if (err == nil) != test.valid { + t.Errorf("%v:decoding test failed: %v", test.name, err) + return + } + if err == nil { + // Ensure the stringer returns the same address as the + // original. + decodeStr := decoded.String() + if test.addr != decodeStr { + t.Errorf("%v: String on decoded value does not match expected value: %v != %v", + test.name, test.addr, decodeStr) + return + } + encode := decoded.Encode() + if test.encoded != encode { + t.Errorf("%v: encode value does not match expected value: %v != %v", + test.name, test.encoded, decoded.Encode()) + return + } + // base:=base58.Decode(encode) + var saddr []byte + switch d := decoded.(type) { + case *PubKeyHashAddress: + decoded := base58.Decode([]byte(encode)) + saddr = decoded[2 : 2+ripemd160.Size] + case *ScriptHashAddress: + decoded := base58.Decode([]byte(encode)) + saddr = decoded[2 : 2+ripemd160.Size] + case *SecpPubKeyAddress: + // Ignore the error here since the script + // address is checked below. + saddr, err = hex.DecodeString(d.String()) + if err != nil { + saddr, _ = hex.DecodeString(test.pubkeystr) + } + case *SecSchnorrPubKeyAddress: + // Ignore the error here since the script + // address is checked below. + saddr, _ = hex.DecodeString(d.String()) + case *EdwardsPubKeyAddress: + // Ignore the error here since the script + // address is checked below. + saddr, _ = hex.DecodeString(d.String()) + } + // Check address script, as well as the Hash160 method for P2PKH and + // P2SH addresses. + if !bytes.Equal(saddr, decoded.Script()) { + t.Errorf("%v: addresses script do not match:\n%x != \n%x", + test.name, saddr, decoded.Script()) + return + } + switch a := decoded.(type) { + case *PubKeyHashAddress: + if h := a.Hash160()[:]; !bytes.Equal(saddr, h) { + t.Errorf("%v: hashes do not match:\n%x != \n%x", + test.name, saddr, h) + return + } + if !bytes.Equal(a.netID[:], test.net.PubKeyHashAddrID[:]) { + t.Errorf("%v: calculated network does not match expected", test.name) + return + } + + case *ScriptHashAddress: + if h := a.Hash160()[:]; !bytes.Equal(saddr, h) { + t.Errorf("%v: hashes do not match:\n%x != \n%x", + test.name, saddr, h) + return + } + if !bytes.Equal(a.netID[:], test.net.ScriptHashAddrID[:]) { + t.Errorf("%v: calculated network does not match expected", test.name) + return + } + } + } + + if !test.valid { + // If address is invalid, but a creation function exists, + // verify that it returns a nil addr and non-nil error. + if test.f != nil { + ad, err := test.f() + if err == nil { + t.Errorf("%v: address is invalid but creating new address succeeded new address:%v", + test.name, ad.String()) + } else { + t.Logf("%v:creating new address failed with error: %v", + test.name, err) + } + } + continue + } + addr, err := test.f() + if err != nil { + t.Errorf("%v: address is valid but creating new address failed with error %v", + test.name, err) + return + } + if !reflect.DeepEqual(addr.Script(), test.result.Script()) { + t.Errorf("%v: created address does not match expected result \n "+ + " got %x, expected %x", + test.name, addr.Script(), test.result.Script()) + return + } + if addr.String() != test.addr { + t.Errorf("%v: created address does not match expected result \n "+ + " got %s, expected %s", + test.name, addr.String(), test.addr) + return + } + } +} diff --git a/core/address/error.go b/core/address/error.go new file mode 100644 index 0000000..e864e74 --- /dev/null +++ b/core/address/error.go @@ -0,0 +1,28 @@ +package address + +import "errors" + +var ( + // ErrChecksumMismatch describes an error where decoding failed due + // to a bad checksum. + ErrChecksumMismatch = errors.New("checksum mismatch") + + // ErrUnknownAddressType describes an error where an address can not + // decoded as a specific address type due to the string encoding + // beginning with an identifier byte unknown to any standard or + // registered (via chaincfg.Register) network. + ErrUnknownAddressType = errors.New("unknown address type") + + // ErrAddressCollision describes an error where an address can not + // be uniquely determined as either a pay-to-pubkey-hash or + // pay-to-script-hash address since the leading identifier is used for + // describing both address kinds, but for different networks. Rather + // than assuming or defaulting to one or the other, this error is + // returned and the caller must decide how to decode the address. + ErrAddressCollision = errors.New("address collision") + + // ErrMissingDefaultNet describes an error in DecodeAddress that + // attempts to decode an address without defining which network to decode + // for. + ErrMissingDefaultNet = errors.New("default net not defined") +) diff --git a/core/address/utils.go b/core/address/utils.go new file mode 100644 index 0000000..a2d1407 --- /dev/null +++ b/core/address/utils.go @@ -0,0 +1,19 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package address + +import ( + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/params" +) + +// IsForNetwork returns whether or not the address is associated with the +// passed network. +//TODO, other addr type and ec type check +func IsForNetwork(addr types.Address, p *params.Params) bool { + switch addr := addr.(type) { + case *PubKeyHashAddress: + return addr.netID == p.PubKeyHashAddrID + } + return false +} diff --git a/core/blockchain/opreturn/lockamount.go b/core/blockchain/opreturn/lockamount.go new file mode 100644 index 0000000..f333301 --- /dev/null +++ b/core/blockchain/opreturn/lockamount.go @@ -0,0 +1,56 @@ +package opreturn + +import ( + "fmt" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/engine/txscript" +) + +type LockAmount struct { + amount int64 +} + +func (a *LockAmount) GetType() OPReturnType { + return OPReturnType(txscript.OP_MEER_LOCK) +} + +func (a *LockAmount) Verify(tx *types.Transaction) error { + if len(tx.TxOut) <= 0 { + return fmt.Errorf("Coinbase tx is error") + } + amount := tx.TxOut[0].Amount.Value + if amount == a.amount { + return nil + } + return fmt.Errorf("It is not equal in %s:%d != %d ", a.GetType().Name(), a.amount, amount) +} + +func (a *LockAmount) Init(ops []txscript.ParsedOpcode) error { + if len(ops) < 3 { + return fmt.Errorf("Illegal %s", a.GetType().Name()) + } + amount, err := txscript.MakeScriptNum(ops[2].GetData(), true, 8) + if err != nil { + log.Error(err.Error()) + return err + } + a.amount = int64(amount) + return nil +} + +func (a *LockAmount) PKScript() []byte { + pks, err := txscript.NewScriptBuilder().AddOp(txscript.OP_RETURN).AddOp(txscript.OP_MEER_LOCK).AddInt64(a.amount).Script() + if err != nil { + log.Error(err.Error()) + return nil + } + return pks +} + +func (a *LockAmount) GetAmount() int64 { + return a.amount +} + +func NewLockAmount(amount int64) *LockAmount { + return &LockAmount{amount: amount} +} diff --git a/core/blockchain/opreturn/log.go b/core/blockchain/opreturn/log.go new file mode 100644 index 0000000..5098069 --- /dev/null +++ b/core/blockchain/opreturn/log.go @@ -0,0 +1,24 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package opreturn + +import ( + l "github.com/Qitmeer/qng-core/log" +) + +// log is a logger that is initialized with no output filters. This +// means the package will not perform any logging by default until the caller +// requests it. +var log l.Logger + +// UseLogger uses a specified Logger to output package logging info. +func UseLogger(logger l.Logger) { + log = logger +} + +// The default amount of logging is none. +func init() { + UseLogger(l.New(l.Ctx{"module": "OPR"})) +} diff --git a/core/blockchain/opreturn/opreturn.go b/core/blockchain/opreturn/opreturn.go new file mode 100644 index 0000000..dd0d790 --- /dev/null +++ b/core/blockchain/opreturn/opreturn.go @@ -0,0 +1,78 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package opreturn + +import ( + "fmt" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/engine/txscript" +) + +type OPReturnType byte + +var OPRNameMap = map[OPReturnType]string{ + OPReturnType(txscript.OP_MEER_LOCK): "LockAmount", +} + +func (t OPReturnType) Name() string { + if name, ok := OPRNameMap[t]; ok { + return name + } else { + return "Unknown-OPReturn type:" + fmt.Sprintf("%d", t) + } +} + +// Exclusive to Coinbase OP Return function +type IOPReturn interface { + GetType() OPReturnType + Verify(tx *types.Transaction) error + Init(ops []txscript.ParsedOpcode) error + PKScript() []byte +} + +func IsOPReturn(pks []byte) bool { + if len(pks) <= 0 { + return false + } + ops, err := txscript.ParseScript(pks) + if err != nil { + return false + } + if len(ops) <= 0 { + return false + } + if ops[0].GetOpcode() == nil { + return false + } + return ops[0].GetOpcode().GetValue() == txscript.OP_RETURN +} + +func NewOPReturnFrom(pks []byte) (IOPReturn, error) { + ops, err := txscript.ParseScript(pks) + if err != nil { + return nil, err + } + if len(ops) <= 0 { + return nil, fmt.Errorf("Is is not coinbase opreturn") + } + opType := ops[1].GetOpcode().GetValue() + switch opType { + case txscript.OP_MEER_LOCK: + sa := LockAmount{} + err := sa.Init(ops) + if err != nil { + return nil, err + } + return &sa, nil + } + return nil, fmt.Errorf("No support %s", OPReturnType(opType).Name()) +} + +func GetOPReturnTxOutput(opr IOPReturn) *types.TxOutput { + return &types.TxOutput{ + Amount: types.Amount{Value: 0, Id: types.MEERID}, + PkScript: opr.PKScript(), + } +} diff --git a/core/json/block.go b/core/json/block.go new file mode 100644 index 0000000..b67abcb --- /dev/null +++ b/core/json/block.go @@ -0,0 +1,88 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package json + +type ProofData struct { + EdgeBits int `json:"edge_bits"` + CircleNonces string `json:"circle_nonces"` +} + +// pow json result +type PowResult struct { + PowName string `json:"pow_name"` + PowType uint8 `json:"pow_type"` + Nonce uint64 `json:"nonce"` + ProofData *ProofData `json:"proof_data,omitempty"` +} + +// BlockVerboseResult models the data from the getblock command when the +// verbose flag is set. When the verbose flag is not set, getblock returns a +// hex-encoded string. + +type BlockVerboseResult struct { + Hash string `json:"hash"` + Txsvalid bool `json:"txsvalid"` + Confirmations int64 `json:"confirmations"` + Version int32 `json:"version"` + Weight int64 `json:"weight"` + Height int64 `json:"height"` + TxRoot string `json:"txRoot"` + Order int64 `json:"order,omitempty"` + Tx []TxRawResult `json:"transactions,omitempty"` + TxFee int64 `json:"transactionfee,omitempty"` + StateRoot string `json:"stateRoot"` + Bits string `json:"bits"` + Difficulty uint32 `json:"difficulty"` + PowResult PowResult `json:"pow"` + Time string `json:"timestamp"` + ParentRoot string `json:"parentroot"` + Parents []string `json:"parents"` + Children []string `json:"children"` +} + +type BlockResult struct { + Hash string `json:"hash"` + Txsvalid bool `json:"txsvalid"` + Confirmations int64 `json:"confirmations"` + Version int32 `json:"version"` + Weight int64 `json:"weight"` + Height int64 `json:"height"` + TxRoot string `json:"txRoot"` + Order int64 `json:"order,omitempty"` + Tx []string `json:"transactions,omitempty"` + TxFee int64 `json:"transactionfee,omitempty"` + StateRoot string `json:"stateRoot"` + Bits string `json:"bits"` + Difficulty uint32 `json:"difficulty"` + PowResult PowResult `json:"pow"` + Time string `json:"timestamp"` + ParentRoot string `json:"parentroot"` + Parents []string `json:"parents"` + Children []string `json:"children"` +} + +// GetBlockHeaderVerboseResult models the data from the getblockheader command when +// the verbose flag is set. When the verbose flag is not set, getblockheader +// returns a hex-encoded string. +type GetBlockHeaderVerboseResult struct { + Hash string `json:"hash"` + Confirmations int64 `json:"confirmations"` + Version int32 `json:"version"` + ParentRoot string `json:"parentroot"` + TxRoot string `json:"txRoot"` + StateRoot string `json:"stateRoot"` + Difficulty uint32 `json:"difficulty"` + Layer uint32 `json:"layer"` + Time int64 `json:"time"` + PowResult PowResult `json:"pow"` +} + +type TokenState struct { + CoinId uint16 `json:"coinid"` + CoinName string `json:"coinname"` + Owners string `json:"owners"` + UpLimit uint64 `json:"uplimit,omitempty"` + Enable bool `json:"enable,omitempty"` + Balance int64 `json:"balance,omitempty"` + LockedMeer int64 `json:"lockedMEER,omitempty"` +} diff --git a/core/json/blocktemplate.go b/core/json/blocktemplate.go new file mode 100644 index 0000000..6487685 --- /dev/null +++ b/core/json/blocktemplate.go @@ -0,0 +1,127 @@ +package json + +type PowDiffReference struct { + NBits string `json:"nbits"` + Target string `json:"target"` +} + +//LL(getblocktemplate RPC) 2018-10-28 +// TemplateRequest is a request object as defined in BIP22 +// (https://en.bitcoin.it/wiki/BIP_0022), it is optionally provided as an +//// argument to GetBlockTemplate RPC. +type TemplateRequest struct { + Mode string `json:"mode,omitempty"` + PowType byte `json:"pow_type"` + Capabilities []string `json:"capabilities,omitempty"` + + // Optional long polling. + LongPollID string `json:"longpollid,omitempty"` + + // Optional template tweaking. SigOpLimit and SizeLimit can be int64 + // or bool. + SigOpLimit interface{} `json:"sigoplimit,omitempty"` + SizeLimit interface{} `json:"sizelimit,omitempty"` + MaxVersion uint32 `json:"maxversion,omitempty"` + + // Basic pool extension from BIP 0023. + Target string `json:"target,omitempty"` + + // Block proposal from BIP 0023. Data is only provided when Mode is + // "proposal". + Data string `json:"data,omitempty"` + WorkID string `json:"workid,omitempty"` +} + +// GetBlockTemplateResultTx models the transactions field of the +// getblocktemplate command. +type GetBlockTemplateResultTx struct { + Data string `json:"data"` + Hash string `json:"hash"` + Depends []int64 `json:"depends"` + Fee int64 `json:"fee"` + SigOps int64 `json:"sigops"` + Weight int64 `json:"weight"` +} + +// GetBlockTemplateResultPt models the parents field of the +// getblocktemplate command. +type GetBlockTemplateResultPt struct { + Data string `json:"data"` + Hash string `json:"hash"` +} + +// GetBlockTemplateResultAux models the coinbaseaux field of the +// getblocktemplate command. +type GetBlockTemplateResultAux struct { + Flags string `json:"flags"` +} + +// GetBlockTemplateResult models the data returned from the getblocktemplate +type GetBlockTemplateResult struct { + // Base fields from BIP 0022. CoinbaseAux is optional. One of + // CoinbaseTxn or CoinbaseValue must be specified, but not both. + StateRoot string `json:"stateroot"` + CurTime int64 `json:"curtime"` + Height int64 `json:"height"` + Blues int64 `json:"blues"` + PreviousHash string `json:"previousblockhash"` + SigOpLimit int64 `json:"sigoplimit,omitempty"` + SizeLimit int64 `json:"sizelimit,omitempty"` + WeightLimit int64 `json:"weightlimit,omitempty"` + Parents []GetBlockTemplateResultPt `json:"parents"` + Transactions []GetBlockTemplateResultTx `json:"transactions"` + Version uint32 `json:"version"` + CoinbaseAux *GetBlockTemplateResultAux `json:"coinbaseaux,omitempty"` + CoinbaseTxn *GetBlockTemplateResultTx `json:"coinbasetxn,omitempty"` + CoinbaseValue *uint64 `json:"coinbasevalue,omitempty"` + WorkID string `json:"workid,omitempty"` + NodeInfo string `json:"nodeinfo,omitempty"` + + // Witness commitment defined in BIP 0141. + DefaultWitnessCommitment string `json:"default_witness_commitment,omitempty"` + + // Optional long polling from BIP 0022. + LongPollID string `json:"longpollid,omitempty"` + LongPollURI string `json:"longpolluri,omitempty"` + SubmitOld *bool `json:"submitold,omitempty"` + + // Basic pool extension from BIP 0023. + Expires int64 `json:"expires,omitempty"` + PowDiffReference PowDiffReference `json:"pow_diff_reference"` + // Mutations from BIP 0023. + MaxTime int64 `json:"maxtime,omitempty"` + MinTime int64 `json:"mintime,omitempty"` + Mutable []string `json:"mutable,omitempty"` + NonceRange string `json:"noncerange,omitempty"` + + // Block proposal from BIP 0023. + // temp use + WorkData string `json:"workdata"` + Capabilities []string `json:"capabilities,omitempty"` + RejectReasion string `json:"reject-reason,omitempty"` + BlockFeesMap map[int]int64 `json:"block_fees_map"` + CoinbaseVersion string `json:"coinbase_version"` +} + +// GetBlockTemplateResult models the data returned from the getblocktemplate +type SubmitBlockResult struct { + BlockHash string `json:"block_hash"` + CoinbaseTxID string `json:"coinbase_txid"` + Order string `json:"order"` + Height int64 `json:"height"` + CoinbaseAmount uint64 `json:"coinbase_amount"` + MinerType string `json:"miner_type"` +} + +type MinerInfoResult struct { + Type string `json:"type"` + Pow string `json:"pow"` + Running bool `json:"running"` + Coinbase string `json:"coinbase"` + Height uint64 `json:"height"` + Difficulty string `json:"difficulty"` + Target string `json:"target"` + Timestamp string `json:"timestamp"` + TotalSubmit int `json:"totalsubmit"` + SuccessSubmit int `json:"successsubmit"` +} diff --git a/core/json/node.go b/core/json/node.go new file mode 100644 index 0000000..1784d1f --- /dev/null +++ b/core/json/node.go @@ -0,0 +1,106 @@ +package json + +// for pow diff +type PowDiff struct { + CurrentDiff float64 `json:"current_diff"` +} + +// InfoNodeResult models the data returned by the node server getnodeinfo command. +type InfoNodeResult struct { + ID string `json:"ID"` + Addresss []string `json:"address"` + QNR string `json:"QNR,omitempty"` + Version int32 `json:"version"` + BuildVersion string `json:"buildversion"` + ProtocolVersion int32 `json:"protocolversion"` + TotalSubsidy uint64 `json:"totalsubsidy,omitempty"` + GraphState *GetGraphStateResult `json:"graphstate,omitempty"` + TimeOffset int64 `json:"timeoffset,omitempty"` + PowDiff *PowDiff `json:"pow_diff,omitempty"` + Confirmations int32 `json:"confirmations,omitempty"` + CoinbaseMaturity int32 `json:"coinbasematurity,omitempty"` + Errors string `json:"errors,omitempty"` + Modules []string `json:"modules,omitempty"` + DNS string `json:"dns,omitempty"` + ConsensusDeployment map[string]*ConsensusDeploymentDesc `json:"consensusdeployment,omitempty"` + Network string `json:"network"` + Connections int32 `json:"connections"` +} + +// GetPeerInfoResult models the data returned from the getpeerinfo command. +type GetPeerInfoResult struct { + ID string `json:"id"` + QNR string `json:"qnr,omitempty"` + Address string `json:"address"` + State string `json:"state,omitempty"` + Protocol uint32 `json:"protocol,omitempty"` + Genesis string `json:"genesis,omitempty"` + Services string `json:"services,omitempty"` + Name string `json:"name,omitempty"` + Direction string `json:"direction,omitempty"` + GraphState *GetGraphStateResult `json:"graphstate,omitempty"` + GSUpdate string `json:"gsupdate,omitempty"` + SyncNode bool `json:"syncnode,omitempty"` + TimeOffset int64 `json:"timeoffset"` + LastSend string `json:"lastsend,omitempty"` + LastRecv string `json:"lastrecv,omitempty"` + BytesSent uint64 `json:"bytessent,omitempty"` + BytesRecv uint64 `json:"bytesrecv,omitempty"` + ConnTime string `json:"conntime,omitempty"` + Version string `json:"version,omitempty"` + Network string `json:"network,omitempty"` + Circuit bool `json:"circuit,omitempty"` + Bads int `json:"bads,omitempty"` +} + +// GetGraphStateResult data +type GetGraphStateResult struct { + Tips []string `json:"tips"` + MainOrder uint32 `json:"mainorder"` + MainHeight uint32 `json:"mainheight"` + Layer uint32 `json:"layer"` +} + +type GetBanlistResult struct { + ID string `json:"id"` + Bads int `json:"bads"` +} + +type ConsensusDeploymentDesc struct { + Status string `json:"status"` + Bit uint8 `json:"bit"` + StartTime int64 `json:"startTime"` + Timeout int64 `json:"timeout"` + Perform int64 `json:"perform,omitempty"` + Since string `json:"since,omitempty"` +} + +type NetworkStat struct { + TotalPeers int `json:"totalpeers"` + MaxConnected uint `json:"maxconnected"` + MaxInbound int `json:"maxinbound"` + TotalConnected int `json:"totalconnected"` + TotalRelays int `json:"totalrelays"` + Infos []*NetworkInfo `json:"infos"` +} + +type NetworkInfo struct { + Name string `json:"name"` + Peers int `json:"peers"` + Relays int `json:"relays"` + Connecteds int `json:"connecteds"` + AverageGS string `json:"averagegs,omitempty"` + MaxGS string `json:"maxgs,omitempty"` + MinGS string `json:"mings,omitempty"` +} + +type SubsidyInfo struct { + Mode string `json:"mode"` + TotalSubsidy uint64 `json:"totalsubsidy"` + TargetTotalSubsidy int64 `json:"targettotalsubsidy,omitempty"` + LeftTotalSubsidy int64 `json:"lefttotalsubsidy,omitempty"` + TotalTime string `json:"totalTime,omitempty"` + LeftTotalTime string `json:"lefttotalTime,omitempty"` + BaseSubsidy int64 `json:"basesubsidy"` + NextSubsidy int64 `json:"nextsubsidy"` +} diff --git a/core/json/result.go b/core/json/result.go new file mode 100644 index 0000000..b2ca6e9 --- /dev/null +++ b/core/json/result.go @@ -0,0 +1,72 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package json + +import ( + "bytes" + "encoding/json" + "reflect" +) + +// The Result works as method calling response can be marshaled as json map +type Result map[string]interface{} + +// The OrderedResult works as the order map[string]interface{}, which useful to +// marshal a Json map using a specific order +// Note: +// it works almost as the 'omitEmpty' set to true, empty value should be omitted when marshaling. +// only for empty string/array/map/slice/interface +type OrderedResult []KV + +type KV struct { + Key string + Val interface{} +} + +func (ores OrderedResult) MarshalJSON() ([]byte, error) { + var buf bytes.Buffer + buf.WriteString("{") + for i, kv := range ores { + if isEmptyValue(reflect.ValueOf(kv.Val)) { + continue //omit empty + } + if i != 0 { + buf.WriteString(",") + } + // marshal key + key, err := json.Marshal(kv.Key) + if err != nil { + return nil, err + } + buf.Write(key) + buf.WriteString(":") + // marshal value + val, err := json.Marshal(kv.Val) + if err != nil { + return nil, err + } + buf.Write(val) + } + + buf.WriteString("}") + return buf.Bytes(), nil +} + +func (ores *OrderedResult) GetValue(key string) interface{} { + for _, kv := range *ores { + if kv.Key == key { + return kv.Val + } + } + return nil +} + +func isEmptyValue(v reflect.Value) bool { + switch v.Kind() { + case reflect.Array, reflect.Map, reflect.Slice, reflect.String: + return v.Len() == 0 + case reflect.Interface, reflect.Ptr: + return v.IsNil() + } + return false +} diff --git a/core/json/tx.go b/core/json/tx.go new file mode 100644 index 0000000..ffd547e --- /dev/null +++ b/core/json/tx.go @@ -0,0 +1,189 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package json + +import "encoding/json" + +// TxRawResult models the data from the getrawtransaction command. +type TxRawResult struct { + Hex string `json:"hex"` + Txid string `json:"txid"` + TxHash string `json:"txhash,omitempty"` + Size int32 `json:"size,omitempty"` + Version uint32 `json:"version"` + LockTime uint32 `json:"locktime"` + Timestamp string `json:"timestamp,omitempty"` + Expire uint32 `json:"expire"` + Vin []Vin `json:"vin"` + Vout []Vout `json:"vout"` + BlockHash string `json:"blockhash,omitempty"` + BlockOrder uint64 `json:"blockorder,omitempty"` + TxIndex uint32 `json:"txindex,omitempty"` + Confirmations int64 `json:"confirmations"` + Time int64 `json:"time,omitempty"` + Blocktime int64 `json:"blocktime,omitempty"` + Duplicate bool `json:"duplicate,omitempty"` + Txsvalid bool `json:"txsvalid"` +} + +// Vin models parts of the tx data. It is defined separately since +// getrawtransaction, decoderawtransaction, and searchrawtransaction use the +// same structure. +type Vin struct { + Coinbase string `json:"coinbase"` + Txid string `json:"txid"` + Vout uint32 `json:"vout"` + Sequence uint32 `json:"sequence"` + ScriptSig *ScriptSig `json:"scriptSig"` + TxType string `json:"type,omitempty"` +} + +// IsCoinBase returns a bool to show if a Vin is a Coinbase one or not. +func (v *Vin) IsCoinBase() bool { + return len(v.Coinbase) > 0 +} + +func (v *Vin) IsNonStd() bool { + return len(v.TxType) > 0 +} + +// MarshalJSON provides a custom Marshal method for Vin. +func (v *Vin) MarshalJSON() ([]byte, error) { + if v.IsCoinBase() { + coinbaseStruct := struct { + Coinbase string `json:"coinbase"` + Sequence uint32 `json:"sequence"` + }{ + Coinbase: v.Coinbase, + Sequence: v.Sequence, + } + return json.Marshal(coinbaseStruct) + } + if v.IsNonStd() { + coinbaseStruct := struct { + Type string `json:"type"` + ScriptSig *ScriptSig `json:"scriptSig"` + }{ + Type: v.TxType, + ScriptSig: v.ScriptSig, + } + return json.Marshal(coinbaseStruct) + } + + txStruct := struct { + Txid string `json:"txid"` + Vout uint32 `json:"vout"` + Sequence uint32 `json:"sequence"` + ScriptSig *ScriptSig `json:"scriptSig"` + }{ + Txid: v.Txid, + Vout: v.Vout, + Sequence: v.Sequence, + ScriptSig: v.ScriptSig, + } + return json.Marshal(txStruct) +} + +// Vout models parts of the tx data. It is defined separately since both +// getrawtransaction and decoderawtransaction use the same structure. +type Vout struct { + Coin string `json:"coin,omitempty"` + CoinId uint16 `json:"coinid,omitempty"` + Amount uint64 `json:"amount,omitempty"` + ScriptPubKey ScriptPubKeyResult `json:"scriptPubKey"` +} + +// ScriptPubKeyResult models the scriptPubKey data of a tx script. It is +// defined separately since it is used by multiple commands. +type ScriptPubKeyResult struct { + Asm string `json:"asm"` + Hex string `json:"hex,omitempty"` + ReqSigs int32 `json:"reqSigs,omitempty"` + Type string `json:"type"` + Addresses []string `json:"addresses,omitempty"` +} + +// ScriptSig models a signature script. It is defined separately since it only +// applies to non-coinbase. Therefore the field in the Vin structure needs +// to be a pointer. +type ScriptSig struct { + Asm string `json:"asm"` + Hex string `json:"hex"` +} + +// GetUtxoResult models the data from the GetUtxo command. +type GetUtxoResult struct { + BestBlock string `json:"bestblock"` + Confirmations int64 `json:"confirmations"` + CoinId uint16 `json:"coinId"` + Amount float64 `json:"amount"` + ScriptPubKey ScriptPubKeyResult `json:"scriptPubKey"` + Version int32 `json:"version"` + Coinbase bool `json:"coinbase"` +} + +// GetRawTransactionsResult models the data from the getrawtransactions +// command. +type GetRawTransactionsResult struct { + Hex string `json:"hex,omitempty"` + Txid string `json:"txid"` + Hash string `json:"hash"` + Size string `json:"size"` + Vsize string `json:"vsize"` + Version uint32 `json:"version"` + LockTime uint32 `json:"locktime"` + Vin []VinPrevOut `json:"vin"` + Vout []Vout `json:"vout"` + BlockHash string `json:"blockhash,omitempty"` + Confirmations uint64 `json:"confirmations,omitempty"` + Time int64 `json:"time,omitempty"` + Blocktime int64 `json:"blocktime,omitempty"` +} + +type VinPrevOut struct { + Coinbase string `json:"coinbase"` + Txid string `json:"txid"` + Vout uint32 `json:"vout"` + ScriptSig *ScriptSig `json:"scriptSig"` + PrevOut *PrevOut `json:"prevOut"` + Sequence uint32 `json:"sequence"` +} + +type PrevOut struct { + Addresses []string `json:"addresses,omitempty"` + CoinId uint16 `json:"coinId"` + Value float64 `json:"value"` +} + +type DecodeRawTransactionResult struct { + Order uint64 `json:"order"` + BlockHash string `json:"blockhash"` + Txvalid bool `json:"txvalid"` + Duplicate bool `json:"duplicate,omitempty"` + IsCoinbase bool `json:"is_coinbase"` + Confirms uint64 `json:"confirms"` + IsBlue bool `json:"is_blue"` + Txid string `json:"txid"` + Hash string `json:"txhash"` + Version uint32 `json:"version"` + LockTime uint32 `json:"locktime"` + Time string `json:"timestamp"` + Vin []Vin `json:"vin"` + Vout []Vout `json:"vout"` +} + +// TransactionInput represents the inputs to a transaction. Specifically a +// transaction hash and output number pair. +type TransactionInput struct { + Txid string `json:"txid"` + Vout uint32 `json:"vout"` +} + +type Amounts map[string]uint64 //{\"address\":amount,...} + +type Amout struct { + CoinId uint16 `json:"coinid"` + Amount int64 `json:"amount"` +} + +type AdreesAmount map[string]Amout diff --git a/core/json/util.go b/core/json/util.go new file mode 100644 index 0000000..8af6b08 --- /dev/null +++ b/core/json/util.go @@ -0,0 +1,153 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired by +// http://github.com/ethereum/go-ethereum/common/hexutil/hexutil.go + +package json + +import ( + "encoding/hex" + "encoding/json" + "fmt" + "reflect" +) + +const uintBits = 32 << (uint64(^uint(0)) >> 63) + +// Errors +var ( + ErrEmptyString = &decError{"empty hex string"} + ErrSyntax = &decError{"invalid hex string"} + ErrMissingPrefix = &decError{"hex string without 0x prefix"} + ErrOddLength = &decError{"hex string of odd length"} + ErrEmptyNumber = &decError{"hex string \"0x\""} + ErrLeadingZero = &decError{"hex number with leading zero digits"} + ErrUint64Range = &decError{"hex number > 64 bits"} + ErrUintRange = &decError{fmt.Sprintf("hex number > %d bits", uintBits)} + ErrBig256Range = &decError{"hex number > 256 bits"} +) + +type decError struct{ msg string } + +func (err decError) Error() string { return err.msg } + +// UnmarshalFixedJSON decodes the input as a string with 0x prefix. The length of out +// determines the required input length. This function is commonly used to implement the +// UnmarshalJSON method for fixed-size types. +func UnmarshalFixedJSON(typ reflect.Type, input, out []byte) error { + if !isString(input) { + return errNonString(typ) + } + return wrapTypeError(UnmarshalFixedText(typ.String(), input[1:len(input)-1], out), typ) +} + +// UnmarshalFixedText decodes the input as a string. The length of out +// determines the required input length. This function is commonly used to implement the +// UnmarshalText method for fixed-size types. +func UnmarshalFixedText(typname string, input, out []byte) error { + raw, err := checkText(input, true) + if err != nil { + return err + } + if len(raw)/2 != len(out) { + return fmt.Errorf("hex string has length %d, want %d for %s", len(raw), len(out)*2, typname) + } + // Pre-verify syntax before modifying out. + for _, b := range raw { + if decodeNibble(b) == badNibble { + return ErrSyntax + } + } + hex.Decode(out, raw) + return nil +} + +// UnmarshalFixedUnprefixedText decodes the input as a string with optional 0x prefix. The +// length of out determines the required input length. This function is commonly used to +// implement the UnmarshalText method for fixed-size types. +func UnmarshalFixedUnprefixedText(typname string, input, out []byte) error { + raw, err := checkText(input, false) + if err != nil { + return err + } + if len(raw)/2 != len(out) { + return fmt.Errorf("hex string has length %d, want %d for %s", len(raw), len(out)*2, typname) + } + // Pre-verify syntax before modifying out. + for _, b := range raw { + if decodeNibble(b) == badNibble { + return ErrSyntax + } + } + hex.Decode(out, raw) + return nil +} + +const badNibble = ^uint64(0) + +func decodeNibble(in byte) uint64 { + switch { + case in >= '0' && in <= '9': + return uint64(in - '0') + case in >= 'A' && in <= 'F': + return uint64(in - 'A' + 10) + case in >= 'a' && in <= 'f': + return uint64(in - 'a' + 10) + default: + return badNibble + } +} + +func checkText(input []byte, wantPrefix bool) ([]byte, error) { + if len(input) == 0 { + return nil, nil // empty strings are allowed + } + if bytesHave0xPrefix(input) { + input = input[2:] + } else if wantPrefix { + return nil, ErrMissingPrefix + } + if len(input)%2 != 0 { + return nil, ErrOddLength + } + return input, nil +} + +func bytesHave0xPrefix(input []byte) bool { + return len(input) >= 2 && input[0] == '0' && (input[1] == 'x' || input[1] == 'X') +} + +func isString(input []byte) bool { + return len(input) >= 2 && input[0] == '"' && input[len(input)-1] == '"' +} + +func checkNumberText(input []byte) (raw []byte, err error) { + if len(input) == 0 { + return nil, nil // empty strings are allowed + } + if !bytesHave0xPrefix(input) { + return nil, ErrMissingPrefix + } + input = input[2:] + if len(input) == 0 { + return nil, ErrEmptyNumber + } + if len(input) > 1 && input[0] == '0' { + return nil, ErrLeadingZero + } + return input, nil +} + +func wrapTypeError(err error, typ reflect.Type) error { + if _, ok := err.(*decError); ok { + return &json.UnmarshalTypeError{Value: err.Error(), Type: typ} + } + return err +} + +func errNonString(typ reflect.Type) error { + return &json.UnmarshalTypeError{Value: "non-string", Type: typ} +} diff --git a/core/merkle/merkle.go b/core/merkle/merkle.go new file mode 100644 index 0000000..33f39e7 --- /dev/null +++ b/core/merkle/merkle.go @@ -0,0 +1,292 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package merkle + +import ( + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/types" + "math" +) + +//TODO refactoing the merkle root calculation to support abstract merkle node + +func CalcMerkleRoot(txns []*types.Transaction) *hash.Hash { + root := calcMerkleRoot(txns) + return &root +} + +// buildMerkleTreeStore creates a merkle tree from a slice of transactions, +// stores it using a linear array, and returns a slice of the backing array. A +// linear array was chosen as opposed to an actual tree structure since it uses +// about half as much memory. The following describes a merkle tree and how it +// is stored in a linear array. +// +// A merkle tree is a tree in which every non-leaf node is the hash of its +// children nodes. A diagram depicting how this works for transactions +// where h(x) is a blake256 hash follows: +// +// root = h1234 = h(h12 + h34) +// / \ +// h12 = h(h1 + h2) h34 = h(h3 + h4) +// / \ / \ +// h1 = h(tx1) h2 = h(tx2) h3 = h(tx3) h4 = h(tx4) +// +// The above stored as a linear array is as follows: +// +// [h1 h2 h3 h4 h12 h34 root] +// +// As the above shows, the merkle root is always the last element in the array. +// +// The number of inputs is not always a power of two which results in a +// balanced tree structure as above. In that case, parent nodes with no +// children are also zero and parent nodes with only a single left node +// are calculated by concatenating the left node with itself before hashing. +// Since this function uses nodes that are pointers to the hashes, empty nodes +// will be nil. +func BuildMerkleTreeStore(transactions []*types.Tx, witness bool) []*hash.Hash { + // If there's an empty stake tree, return totally zeroed out merkle tree root + // only. + if len(transactions) == 0 { + merkles := make([]*hash.Hash, 1) + merkles[0] = &hash.Hash{} + return merkles + } + + // Calculate how many entries are required to hold the binary merkle + // tree as a linear array and create an array of that size. + nextPoT := nextPowerOfTwo(len(transactions)) + arraySize := nextPoT*2 - 1 + merkles := make([]*hash.Hash, arraySize) + + // Create the base transaction hashes and populate the array with them. + for i, tx := range transactions { + switch { + case witness && i == 0: + merkles[i] = &hash.ZeroHash + case witness: + wSha := tx.Tx.TxHashFull() + merkles[i] = &wSha + default: + txH := tx.Tx.TxHash() + merkles[i] = &txH + } + } + + // Start the array offset after the last transaction and adjusted to the + // next power of two. + offset := nextPoT + for i := 0; i < arraySize-1; i += 2 { + switch { + // When there is no left child node, the parent is nil too. + case merkles[i] == nil: + merkles[offset] = nil + + // When there is no right child, the parent is generated by + // hashing the concatenation of the left child with itself. + case merkles[i+1] == nil: + newHash := HashMerkleBranches(merkles[i], merkles[i]) + merkles[offset] = newHash + + // The normal case sets the parent node to the hash of the + // concatentation of the left and right children. + default: + newHash := HashMerkleBranches(merkles[i], merkles[i+1]) + merkles[offset] = newHash + } + offset++ + } + + return merkles +} + +// calcMerkleRoot creates a merkle tree from the slice of transactions and +// returns the root of the tree. +func calcMerkleRoot(txns []*types.Transaction) hash.Hash { + utilTxns := make([]*types.Tx, 0, len(txns)) + for _, tx := range txns { + utilTxns = append(utilTxns, types.NewTx(tx)) + } + merkles := BuildMerkleTreeStore(utilTxns, false) + return *merkles[len(merkles)-1] +} + +// HashMerkleBranches takes two hashes, treated as the left and right tree +// nodes, and returns the hash of their concatenation. This is a helper +// function used to aid in the generation of a merkle tree. +func HashMerkleBranches(left *hash.Hash, right *hash.Hash) *hash.Hash { + // Concatenate the left and right nodes. + var h [hash.HashSize * 2]byte + copy(h[:hash.HashSize], left[:]) + copy(h[hash.HashSize:], right[:]) + + // TODO, add an abstract layer of hash func + // TODO, double sha256 or other crypto hash + newHash := hash.DoubleHashH(h[:]) + return &newHash +} + +// nextPowerOfTwo returns the next highest power of two from a given number if +// it is not already a power of two. This is a helper function used during the +// calculation of a merkle tree. +func nextPowerOfTwo(n int) int { + // Return the number if it's already a power of 2. + if n&(n-1) == 0 { + return n + } + + // Figure out and return the next power of two. + exponent := uint(math.Log2(float64(n))) + 1 + return 1 << exponent // 2^exponent +} + +// BuildParentsMerkleTreeStore creates a merkle tree from a slice of block parents, +// stores it using a linear array, and returns a slice of the backing array. A +// linear array was chosen as opposed to an actual tree structure since it uses +// about half as much memory. The following describes a merkle tree and how it +// is stored in a linear array. +// +// A merkle tree is a tree in which every non-leaf node is the hash of its +// children nodes. A diagram depicting how this works for block parents +// where h(x) is a blake256 hash follows: +// +// root = h1234 = h(h12 + h34) +// / \ +// h12 = h(h1 + h2) h34 = h(h3 + h4) +// / \ / \ +// h1 = h(tx1) h2 = h(tx2) h3 = h(tx3) h4 = h(tx4) +// +// The above stored as a linear array is as follows: +// +// [h1 h2 h3 h4 h12 h34 root] +// +// As the above shows, the merkle root is always the last element in the array. +// +// The number of inputs is not always a power of two which results in a +// balanced tree structure as above. In that case, parent nodes with no +// children are also zero and parent nodes with only a single left node +// are calculated by concatenating the left node with itself before hashing. +// Since this function uses nodes that are pointers to the hashes, empty nodes +// will be nil. +func BuildParentsMerkleTreeStore(parents []*hash.Hash) []*hash.Hash { + // If there's an empty stake tree, return totally zeroed out merkle tree root + // only. + if len(parents) == 0 { + merkles := make([]*hash.Hash, 1) + merkles[0] = &hash.Hash{} + return merkles + } + + // Calculate how many entries are required to hold the binary merkle + // tree as a linear array and create an array of that size. + nextPoT := nextPowerOfTwo(len(parents)) + arraySize := nextPoT*2 - 1 + merkles := make([]*hash.Hash, arraySize) + + // Populate the array with hashs. + copy(merkles, parents) + + // Start the array offset after the last parent and adjusted to the + // next power of two. + offset := nextPoT + for i := 0; i < arraySize-1; i += 2 { + switch { + // When there is no left child node, the parent is nil too. + case merkles[i] == nil: + merkles[offset] = nil + + // When there is no right child, the parent is generated by + // hashing the concatenation of the left child with itself. + case merkles[i+1] == nil: + newHash := HashMerkleBranches(merkles[i], merkles[i]) + merkles[offset] = newHash + + // The normal case sets the parent node to the hash of the + // concatentation of the left and right children. + default: + newHash := HashMerkleBranches(merkles[i], merkles[i+1]) + merkles[offset] = newHash + } + offset++ + } + + return merkles +} + +func ValidateWitnessCommitment(blk *types.SerializedBlock) error { + if len(blk.Transactions()) == 0 { + str := "cannot validate witness commitment of block without " + + "transactions" + return fmt.Errorf(str) + } + + coinbaseTx := blk.Transactions()[0] + if len(coinbaseTx.Tx.TxIn) == 0 { + return fmt.Errorf("transaction has no inputs") + } + + witnessCommitment := coinbaseTx.Tx.TxIn[0].PreviousOut.Hash + if witnessCommitment.IsEqual(&hash.ZeroHash) { + return fmt.Errorf("Coinbase inputs has no witness commitment") + } + + coinbase := coinbaseTx.Tx.TxIn[0].SignScript + witnessMerkleTree := BuildMerkleTreeStore(blk.Transactions(), true) + witnessMerkleRoot := witnessMerkleTree[len(witnessMerkleTree)-1] + + witnessPreimage := append(witnessMerkleRoot.Bytes(), coinbase...) + computedCommitment := hash.DoubleHashH(witnessPreimage[:]) + + if !computedCommitment.IsEqual(&witnessCommitment) { + str := fmt.Sprintf("witness commitment does not match: "+ + "computed %s, coinbase includes %s", computedCommitment, + witnessCommitment) + return fmt.Errorf(str) + } + return nil +} + +func BuildTokenBalanceMerkleTreeStore(balance []*hash.Hash) []*hash.Hash { + // If there's an empty stake tree, return totally zeroed out merkle tree root + // only. + if len(balance) == 0 { + merkles := make([]*hash.Hash, 1) + merkles[0] = &hash.Hash{} + return merkles + } + + // Calculate how many entries are required to hold the binary merkle + // tree as a linear array and create an array of that size. + nextPoT := nextPowerOfTwo(len(balance)) + arraySize := nextPoT*2 - 1 + merkles := make([]*hash.Hash, arraySize) + + // Populate the array with hashs. + copy(merkles, balance) + + // Start the array offset after the last parent and adjusted to the + // next power of two. + offset := nextPoT + for i := 0; i < arraySize-1; i += 2 { + switch { + // When there is no left child node, the parent is nil too. + case merkles[i] == nil: + merkles[offset] = nil + + // When there is no right child, the parent is generated by + // hashing the concatenation of the left child with itself. + case merkles[i+1] == nil: + newHash := HashMerkleBranches(merkles[i], merkles[i]) + merkles[offset] = newHash + + // The normal case sets the parent node to the hash of the + // concatentation of the left and right children. + default: + newHash := HashMerkleBranches(merkles[i], merkles[i+1]) + merkles[offset] = newHash + } + offset++ + } + + return merkles +} diff --git a/core/protocol/protocol.go b/core/protocol/protocol.go new file mode 100644 index 0000000..e039b1f --- /dev/null +++ b/core/protocol/protocol.go @@ -0,0 +1,58 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package protocol + +import ( + "fmt" +) + +const ( + // InitialProcotolVersion is the initial protocol version for the + // network. + InitialProcotolVersion uint32 = 36 + + // ProtocolVersion is the latest protocol version this package supports. + ProtocolVersion uint32 = 36 +) + +// Network represents which qitmeer network a message belongs to. +type Network uint32 + +// Constants used to indicate the message of network. They can also be +// used to seek to the next message when a stream's state is unknown, but +// this package does not provide that functionality since it's generally a +// better idea to simply disconnect clients that are misbehaving over TCP. +const ( + // MainNet represents the main network. + MainNet Network = 0xb4c3dce8 + + // TestNet2 represents the test network. + TestNet Network = 0x35e0c424 + + // PrivNet represents the private test network. + PrivNet Network = 0xf1eb0001 + + // MixNet represents the Mix Pow network. + MixNet Network = 0xc459b247 +) + +// bnStrings is a map of networks back to their constant names for +// pretty printing. +var bnStrings = map[Network]string{ + MainNet: "MainNet", + TestNet: "TestNet", + PrivNet: "PirvNet", + MixNet: "MixNet", +} + +// String returns the CurrencyNet in human-readable form. +func (n Network) String() string { + if s, ok := bnStrings[n]; ok { + return s + } + return fmt.Sprintf("Unknown Network (%d)", uint32(n)) +} diff --git a/core/protocol/serviceflag.go b/core/protocol/serviceflag.go new file mode 100644 index 0000000..1611cf5 --- /dev/null +++ b/core/protocol/serviceflag.go @@ -0,0 +1,92 @@ +package protocol + +import ( + "strconv" + "strings" +) + +// Map of service flags back to their constant names for pretty printing. +var sfStrings = map[ServiceFlag]string{ + Full: "Full", + Bloom: "Bloom", + CF: "CF", + Light: "Light", + Relay: "Relay", + Observer: "Observer", + Unknown: "Unknown", +} + +// orderedSFStrings is an ordered list of service flags from highest to +// lowest. +var orderedSFStrings = []ServiceFlag{ + Full, + Bloom, + CF, + Light, + Relay, + Observer, + Unknown, +} + +// ServiceFlag identifies services supported by a peer node. +type ServiceFlag uint64 + +const ( + // full node. + Full ServiceFlag = 1 << iota + + // light node + Light + + // a peer supports bloom filtering. + Bloom + + // a peer supports committed filters (CFs). + CF + + // Relay + Relay + + // Observer + Observer + + // None + Unknown +) + +// String returns the ServiceFlag in human-readable form. +func (f ServiceFlag) String() string { + // No flags are set. + if f == 0 { + return "0x0" + } + + // Add individual bit flags. + s := "" + for _, flag := range orderedSFStrings { + if f&flag == flag { + s += sfStrings[flag] + "|" + f -= flag + } + } + + // Add any remaining flags which aren't accounted for as hex. + s = strings.TrimRight(s, "|") + if f != 0 { + s += "|0x" + strconv.FormatUint(uint64(f), 16) + } + s = strings.TrimLeft(s, "|") + return s +} + +// hasServices returns whether or not the provided advertised service flags have +// all of the provided desired service flags set. +func HasServices(advertised, desired ServiceFlag) bool { + return advertised&desired == desired +} + +// MissingServices returns what missing service flags from the advertised flags +// to the desired flags set +func MissingServices(advertised, desired ServiceFlag) ServiceFlag { + return desired & ^advertised +} diff --git a/core/serialization/common.go b/core/serialization/common.go new file mode 100644 index 0000000..8eea171 --- /dev/null +++ b/core/serialization/common.go @@ -0,0 +1,398 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package serialization + +import ( + "crypto/rand" + "encoding/binary" + "fmt" + "io" + "math" +) + +const ( + // MaxVarIntPayload is the maximum payload size for a variable length integer. + MaxVarIntPayload = 9 + + // binaryFreeListMaxItems is the number of buffers to keep in the free + // list to use for binary serialization and deserialization. + binaryFreeListMaxItems = 1024 + + // MaxMessagePayload is the maximum bytes a message can be regardless of other + // individual limits imposed by messages themselves. + MaxMessagePayload = (1024 * 1024 * 32) // 32MB + +) + +// TODO unify endian +var ( + // littleEndian is a convenience variable since binary.LittleEndian is + // quite long. + littleEndian = binary.LittleEndian + + // bigEndian is a convenience variable since binary.BigEndian is quite + // long. + bigEndian = binary.BigEndian +) + +// binaryFreeList defines a concurrent safe free list of byte slices (up to the +// maximum number defined by the binaryFreeListMaxItems constant) that have a +// cap of 8 (thus it supports up to a uint64). It is used to provide temporary +// buffers for serializing and deserializing primitive numbers to and from their +// binary encoding in order to greatly reduce the number of allocations +// required. +// +// For convenience, functions are provided for each of the primitive unsigned +// integers that automatically obtain a buffer from the free list, perform the +// necessary binary conversion, read from or write to the given io.Reader or +// io.Writer, and return the buffer to the free list. +type binaryFreeList chan []byte + +// Borrow returns a byte slice from the free list with a length of 8. A new +// buffer is allocated if there are not any available on the free list. +func (l binaryFreeList) Borrow() []byte { + var buf []byte + select { + case buf = <-l: + default: + buf = make([]byte, 8) + } + return buf[:8] +} + +// Return puts the provided byte slice back on the free list. The buffer MUST +// have been obtained via the Borrow function and therefore have a cap of 8. +func (l binaryFreeList) Return(buf []byte) { + select { + case l <- buf: + default: + // Let it go to the garbage collector. + } +} + +// Uint8 reads a single byte from the provided reader using a buffer from the +// free list and returns it as a uint8. +func (l binaryFreeList) Uint8(r io.Reader) (uint8, error) { + buf := l.Borrow()[:1] + if _, err := io.ReadFull(r, buf); err != nil { + l.Return(buf) + return 0, err + } + rv := buf[0] + l.Return(buf) + return rv, nil +} + +// Uint16 reads two bytes from the provided reader using a buffer from the +// free list, converts it to a number using the provided byte order, and returns +// the resulting uint16. +func (l binaryFreeList) Uint16(r io.Reader, byteOrder binary.ByteOrder) (uint16, error) { + buf := l.Borrow()[:2] + if _, err := io.ReadFull(r, buf); err != nil { + l.Return(buf) + return 0, err + } + rv := byteOrder.Uint16(buf) + l.Return(buf) + return rv, nil +} + +// Uint32 reads four bytes from the provided reader using a buffer from the +// free list, converts it to a number using the provided byte order, and returns +// the resulting uint32. +func (l binaryFreeList) Uint32(r io.Reader, byteOrder binary.ByteOrder) (uint32, error) { + buf := l.Borrow()[:4] + if _, err := io.ReadFull(r, buf); err != nil { + l.Return(buf) + return 0, err + } + rv := byteOrder.Uint32(buf) + l.Return(buf) + return rv, nil +} + +// Uint64 reads eight bytes from the provided reader using a buffer from the +// free list, converts it to a number using the provided byte order, and returns +// the resulting uint64. +func (l binaryFreeList) Uint64(r io.Reader, byteOrder binary.ByteOrder) (uint64, error) { + buf := l.Borrow()[:8] + if _, err := io.ReadFull(r, buf); err != nil { + l.Return(buf) + return 0, err + } + rv := byteOrder.Uint64(buf) + l.Return(buf) + return rv, nil +} + +// PutUint8 copies the provided uint8 into a buffer from the free list and +// writes the resulting byte to the given writer. +func (l binaryFreeList) PutUint8(w io.Writer, val uint8) error { + buf := l.Borrow()[:1] + buf[0] = val + _, err := w.Write(buf) + l.Return(buf) + return err +} + +// PutUint16 serializes the provided uint16 using the given byte order into a +// buffer from the free list and writes the resulting two bytes to the given +// writer. +func (l binaryFreeList) PutUint16(w io.Writer, byteOrder binary.ByteOrder, val uint16) error { + buf := l.Borrow()[:2] + byteOrder.PutUint16(buf, val) + _, err := w.Write(buf) + l.Return(buf) + return err +} + +// PutUint32 serializes the provided uint32 using the given byte order into a +// buffer from the free list and writes the resulting four bytes to the given +// writer. +func (l binaryFreeList) PutUint32(w io.Writer, byteOrder binary.ByteOrder, val uint32) error { + buf := l.Borrow()[:4] + byteOrder.PutUint32(buf, val) + _, err := w.Write(buf) + l.Return(buf) + return err +} + +// PutUint64 serializes the provided uint64 using the given byte order into a +// buffer from the free list and writes the resulting eight bytes to the given +// writer. +func (l binaryFreeList) PutUint64(w io.Writer, byteOrder binary.ByteOrder, val uint64) error { + buf := l.Borrow()[:8] + byteOrder.PutUint64(buf, val) + _, err := w.Write(buf) + l.Return(buf) + return err +} + +// binarySerializer provides a free list of buffers to use for serializing and +// deserializing primitive integer values to and from io.Readers and io.Writers. +var BinarySerializer binaryFreeList = make(chan []byte, binaryFreeListMaxItems) + +// errNonCanonicalVarInt is the common format string used for non-canonically +// encoded variable length integer errors. +var errNonCanonicalVarInt = "non-canonical varint %x - discriminant %x must " + + "encode a value greater than %x" + +// ReadVarInt reads a variable length integer from r and returns it as a uint64. +func ReadVarInt(r io.Reader, pver uint32) (uint64, error) { + discriminant, err := BinarySerializer.Uint8(r) + if err != nil { + return 0, err + } + + var rv uint64 + switch discriminant { + case 0xff: + sv, err := BinarySerializer.Uint64(r, littleEndian) + if err != nil { + return 0, err + } + rv = sv + + // The encoding is not canonical if the value could have been + // encoded using fewer bytes. + min := uint64(0x100000000) + if rv < min { + return 0, fmt.Errorf("messageError %v: %v", "ReadVarInt", fmt.Sprintf( + errNonCanonicalVarInt, rv, discriminant, min)) + } + + case 0xfe: + sv, err := BinarySerializer.Uint32(r, littleEndian) + if err != nil { + return 0, err + } + rv = uint64(sv) + + // The encoding is not canonical if the value could have been + // encoded using fewer bytes. + min := uint64(0x10000) + if rv < min { + return 0, fmt.Errorf("messageError %v: %v", "ReadVarInt", fmt.Sprintf( + errNonCanonicalVarInt, rv, discriminant, min)) + } + + case 0xfd: + sv, err := BinarySerializer.Uint16(r, littleEndian) + if err != nil { + return 0, err + } + rv = uint64(sv) + + // The encoding is not canonical if the value could have been + // encoded using fewer bytes. + min := uint64(0xfd) + if rv < min { + return 0, fmt.Errorf("messageError %v: %v", "ReadVarInt", fmt.Sprintf( + errNonCanonicalVarInt, rv, discriminant, min)) + } + + default: + rv = uint64(discriminant) + } + + return rv, nil +} + +// WriteVarInt serializes val to w using a variable number of bytes depending +// on its value. +func WriteVarInt(w io.Writer, pver uint32, val uint64) error { + if val < 0xfd { + return BinarySerializer.PutUint8(w, uint8(val)) + } + + if val <= math.MaxUint16 { + err := BinarySerializer.PutUint8(w, 0xfd) + if err != nil { + return err + } + return BinarySerializer.PutUint16(w, littleEndian, uint16(val)) + } + + if val <= math.MaxUint32 { + err := BinarySerializer.PutUint8(w, 0xfe) + if err != nil { + return err + } + return BinarySerializer.PutUint32(w, littleEndian, uint32(val)) + } + + err := BinarySerializer.PutUint8(w, 0xff) + if err != nil { + return err + } + return BinarySerializer.PutUint64(w, littleEndian, val) +} + +// VarIntSerializeSize returns the number of bytes it would take to serialize +// val as a variable length integer. +func VarIntSerializeSize(val uint64) int { + // The value is small enough to be represented by itself, so it's + // just 1 byte. + if val < 0xfd { + return 1 + } + + // Discriminant 1 byte plus 2 bytes for the uint16. + if val <= math.MaxUint16 { + return 3 + } + + // Discriminant 1 byte plus 4 bytes for the uint32. + if val <= math.MaxUint32 { + return 5 + } + + // Discriminant 1 byte plus 8 bytes for the uint64. + return 9 +} + +// ReadVarString reads a variable length string from r and returns it as a Go +// string. A variable length string is encoded as a variable length integer +// containing the length of the string followed by the bytes that represent the +// string itself. An error is returned if the length is greater than the +// maximum block payload size since it helps protect against memory exhaustion +// attacks and forced panics through malformed messages. +func ReadVarString(r io.Reader, pver uint32) (string, error) { + count, err := ReadVarInt(r, pver) + if err != nil { + return "", err + } + + // Prevent variable length strings that are larger than the maximum + // message size. It would be possible to cause memory exhaustion and + // panics without a sane upper bound on this count. + if count > MaxMessagePayload { + str := fmt.Sprintf("variable length string is too long "+ + "[count %d, max %d]", count, MaxMessagePayload) + return "", fmt.Errorf("messageError %v: %v", "ReadVarString", str) + } + + buf := make([]byte, count) + _, err = io.ReadFull(r, buf) + if err != nil { + return "", err + } + return string(buf), nil +} + +// WriteVarString serializes str to w as a variable length integer containing +// the length of the string followed by the bytes that represent the string +// itself. +func WriteVarString(w io.Writer, pver uint32, str string) error { + err := WriteVarInt(w, pver, uint64(len(str))) + if err != nil { + return err + } + _, err = w.Write([]byte(str)) + return err +} + +// ReadVarBytes reads a variable length byte array. A byte array is encoded +// as a varInt containing the length of the array followed by the bytes +// themselves. An error is returned if the length is greater than the +// passed maxAllowed parameter which helps protect against memory exhaustion +// attacks and forced panics thorugh malformed messages. The fieldName +// parameter is only used for the error message so it provides more context in +// the error. +func ReadVarBytes(r io.Reader, pver uint32, maxAllowed uint32, + fieldName string) ([]byte, error) { + + count, err := ReadVarInt(r, pver) + if err != nil { + return nil, err + } + + // Prevent byte array larger than the max message size. It would + // be possible to cause memory exhaustion and panics without a sane + // upper bound on this count. + if count > uint64(maxAllowed) { + str := fmt.Sprintf("%s is larger than the max allowed size "+ + "[count %d, max %d]", fieldName, count, maxAllowed) + return nil, fmt.Errorf("messageError ReadVarBytes: %v", str) + } + + b := make([]byte, count) + _, err = io.ReadFull(r, b) + if err != nil { + return nil, err + } + return b, nil +} + +// WriteVarBytes serializes a variable length byte array to w as a varInt +// containing the number of bytes, followed by the bytes themselves. +func WriteVarBytes(w io.Writer, pver uint32, bytes []byte) error { + slen := uint64(len(bytes)) + err := WriteVarInt(w, pver, slen) + if err != nil { + return err + } + + _, err = w.Write(bytes) + return err +} + +// randomUint64 returns a cryptographically random uint64 value. This +// unexported version takes a reader primarily to ensure the error paths +// can be properly tested by passing a fake reader in the tests. +func randomUint64(r io.Reader) (uint64, error) { + rv, err := BinarySerializer.Uint64(r, bigEndian) + if err != nil { + return 0, err + } + return rv, nil +} + +// RandomUint64 returns a cryptographically random uint64 value. +func RandomUint64() (uint64, error) { + return randomUint64(rand.Reader) +} diff --git a/core/serialization/elements.go b/core/serialization/elements.go new file mode 100644 index 0000000..75b0f10 --- /dev/null +++ b/core/serialization/elements.go @@ -0,0 +1,292 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package serialization + +import ( + "encoding/binary" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types/pow" + "io" + "time" +) + +// ReadElements reads multiple items from r. It is equivalent to multiple +// calls to readElement. +func ReadElements(r io.Reader, elements ...interface{}) error { + for _, element := range elements { + err := readElement(r, element) + if err != nil { + return err + } + } + return nil +} + +// readElement reads the next sequence of bytes from r using little endian +// depending on the concrete type of element pointed to. +func readElement(r io.Reader, element interface{}) error { + // Attempt to read the element based on the concrete type via fast + // type assertions first. + switch e := element.(type) { + case *uint8: + rv, err := BinarySerializer.Uint8(r) + if err != nil { + return err + } + *e = rv + return nil + + case *uint16: + rv, err := BinarySerializer.Uint16(r, littleEndian) + if err != nil { + return err + } + *e = rv + return nil + + case *int32: + rv, err := BinarySerializer.Uint32(r, littleEndian) + if err != nil { + return err + } + *e = int32(rv) + return nil + + case *uint32: + rv, err := BinarySerializer.Uint32(r, littleEndian) + if err != nil { + return err + } + *e = rv + return nil + + case *int64: + rv, err := BinarySerializer.Uint64(r, littleEndian) + if err != nil { + return err + } + *e = int64(rv) + return nil + + case *uint64: + rv, err := BinarySerializer.Uint64(r, littleEndian) + if err != nil { + return err + } + *e = rv + return nil + + case *bool: + rv, err := BinarySerializer.Uint8(r) + if err != nil { + return err + } + if rv == 0x00 { + *e = false + } else { + *e = true + } + return nil + + // Unix timestamp encoded as a uint32. + // TODO fix time ambiguous + case *Uint32Time: + rv, err := BinarySerializer.Uint32(r, binary.LittleEndian) + if err != nil { + return err + } + *e = Uint32Time(time.Unix(int64(rv), 0)) + return nil + + // Unix timestamp encoded as an int64. + // TODO fix time ambiguous + case *Int64Time: + rv, err := BinarySerializer.Uint64(r, binary.LittleEndian) + if err != nil { + return err + } + *e = Int64Time(time.Unix(int64(rv), 0)) + return nil + + // Message header checksum. + case *[4]byte: + _, err := io.ReadFull(r, e[:]) + if err != nil { + return err + } + return nil + + case *[6]byte: + _, err := io.ReadFull(r, e[:]) + if err != nil { + return err + } + return nil + + // IP address. + case *[16]byte: + _, err := io.ReadFull(r, e[:]) + if err != nil { + return err + } + return nil + + case *[32]byte: + _, err := io.ReadFull(r, e[:]) + if err != nil { + return err + } + return nil + + case *hash.Hash: + _, err := io.ReadFull(r, e[:]) + if err != nil { + return err + } + return nil + + case *protocol.Network: + rv, err := BinarySerializer.Uint32(r, littleEndian) + if err != nil { + return err + } + *e = protocol.Network(rv) + return nil + + case *pow.IPow: + // pow 9 bytes + // powtype 1 byte + // nonce 8 bytes + b := make([]byte, pow.POW_LENGTH-pow.PROOFDATA_LENGTH) + _, err := io.ReadFull(r, b) + if err != nil { + return err + } + // powType 1 bytes + nonce 8 bytes + powType := pow.PowType(b[0:1][0]) + if _, ok := pow.PowMapString[powType]; !ok { + return fmt.Errorf("powType:%d don't supported!", powType) + } + leftBytes := make([]byte, pow.PROOFDATA_LENGTH) + // different pow store different bytes + _, err = io.ReadFull(r, leftBytes) + if err != nil { + return err + } + // set pow type 1 bytes nonce 8 bytes and proof data except types + *e = pow.GetInstance(powType, littleEndian.Uint64(b[1:9]), leftBytes) + return nil + + } + + // Fall back to the slower binary.Read if a fast path was not available + // above. + return binary.Read(r, littleEndian, element) +} + +// WriteElements writes multiple items to w. It is equivalent to multiple +// calls to writeElement. +func WriteElements(w io.Writer, elements ...interface{}) error { + for _, element := range elements { + err := writeElement(w, element) + if err != nil { + return err + } + } + return nil +} + +// writeElement writes the little endian representation of element to w. +func writeElement(w io.Writer, element interface{}) error { + // Attempt to write the element based on the concrete type via fast + // type assertions first. + switch e := element.(type) { + case pow.PowType: + err := BinarySerializer.PutUint8(w, uint8(e)) + if err != nil { + return err + } + return nil + case int32: + err := BinarySerializer.PutUint32(w, littleEndian, uint32(e)) + if err != nil { + return err + } + return nil + + case uint32: + err := BinarySerializer.PutUint32(w, littleEndian, e) + if err != nil { + return err + } + return nil + + case int64: + err := BinarySerializer.PutUint64(w, littleEndian, uint64(e)) + if err != nil { + return err + } + return nil + + case uint64: + err := BinarySerializer.PutUint64(w, littleEndian, e) + if err != nil { + return err + } + return nil + + case bool: + var err error + if e { + err = BinarySerializer.PutUint8(w, 0x01) + } else { + err = BinarySerializer.PutUint8(w, 0x00) + } + if err != nil { + return err + } + return nil + + // Message header checksum. + case [4]byte: + _, err := w.Write(e[:]) + if err != nil { + return err + } + return nil + + // IP address. + case [16]byte: + _, err := w.Write(e[:]) + if err != nil { + return err + } + return nil + + case *hash.Hash: + _, err := w.Write(e[:]) + if err != nil { + return err + } + return nil + + case protocol.Network: + err := BinarySerializer.PutUint32(w, littleEndian, uint32(e)) + if err != nil { + return err + } + return nil + //pow bytes + case pow.PowBytes: + _, err := w.Write(e[:]) + if err != nil { + return err + } + return nil + //pow Result + } + // Fall back to the slower binary.Write if a fast path was not available + // above. + return binary.Write(w, littleEndian, element) +} diff --git a/core/serialization/serialize.go b/core/serialization/serialize.go new file mode 100644 index 0000000..551c72e --- /dev/null +++ b/core/serialization/serialize.go @@ -0,0 +1,13 @@ +// Copyright 2017-2018 The qitmeer developers + +package serialization + +import "io" + +// TODO, redefine the protocol version and storage + +type Serializable interface { + Serialize(w io.Writer) error + + Deserialize(r io.Reader) error +} diff --git a/core/serialization/time.go b/core/serialization/time.go new file mode 100644 index 0000000..853b0bb --- /dev/null +++ b/core/serialization/time.go @@ -0,0 +1,15 @@ +package serialization + +import "time" + +// TODO fix time ambiguous +// uint32Time represents a unix timestamp encoded with a uint32. It is used as +// a way to signal the readElement function how to decode a timestamp into a Go +// time.Time since it is otherwise ambiguous. +type Uint32Time time.Time + +// TODO fix time ambiguous +// int64Time represents a unix timestamp encoded with an int64. It is used as +// a way to signal the readElement function how to decode a timestamp into a Go +// time.Time since it is otherwise ambiguous. +type Int64Time time.Time diff --git a/core/serialization/vlq.go b/core/serialization/vlq.go new file mode 100644 index 0000000..68eb73e --- /dev/null +++ b/core/serialization/vlq.go @@ -0,0 +1,109 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package serialization + +// currentCompressionVersion is the current script compression version of the +// database. +const CurrentCompressionVersion = 1 + +// ----------------------------------------------------------------------------- +// A variable length quantity (VLQ) is an encoding that uses an arbitrary number +// of binary octets to represent an arbitrarily large integer. The scheme +// employs a most significant byte (MSB) base-128 encoding where the high bit in +// each byte indicates whether or not the byte is the final one. In addition, +// to ensure there are no redundant encodings, an offset is subtracted every +// time a group of 7 bits is shifted out. Therefore each integer can be +// represented in exactly one way, and each representation stands for exactly +// one integer. +// +// Another nice property of this encoding is that it provides a compact +// representation of values that are typically used to indicate sizes. For +// example, the values 0 - 127 are represented with a single byte, 128 - 16511 +// with two bytes, and 16512 - 2113663 with three bytes. +// +// While the encoding allows arbitrarily large integers, it is artificially +// limited in this code to an unsigned 64-bit integer for efficiency purposes. +// +// Example encodings: +// 0 -> [0x00] +// 127 -> [0x7f] * Max 1-byte value +// 128 -> [0x80 0x00] +// 129 -> [0x80 0x01] +// 255 -> [0x80 0x7f] +// 256 -> [0x81 0x00] +// 16511 -> [0xff 0x7f] * Max 2-byte value +// 16512 -> [0x80 0x80 0x00] +// 32895 -> [0x80 0xff 0x7f] +// 2113663 -> [0xff 0xff 0x7f] * Max 3-byte value +// 270549119 -> [0xff 0xff 0xff 0x7f] * Max 4-byte value +// 2^64-1 -> [0x80 0xfe 0xfe 0xfe 0xfe 0xfe 0xfe 0xfe 0xfe 0x7f] +// +// References: +// https://en.wikipedia.org/wiki/Variable-length_quantity +// http://www.codecodex.com/wiki/Variable-Length_Integers +// ----------------------------------------------------------------------------- + +// SerializeSizeVLQ returns the number of bytes it would take to serialize the +// passed number as a variable-length quantity according to the format described +// above. +func SerializeSizeVLQ(n uint64) int { + size := 1 + for ; n > 0x7f; n = (n >> 7) - 1 { + size++ + } + + return size +} + +// PutVLQ serializes the provided number to a variable-length quantity according +// to the format described above and returns the number of bytes of the encoded +// value. The result is placed directly into the passed byte slice which must +// be at least large enough to handle the number of bytes returned by the +// serializeSizeVLQ function or it will panic. +func PutVLQ(target []byte, n uint64) int { + offset := 0 + for ; ; offset++ { + // The high bit is set when another byte follows. + highBitMask := byte(0x80) + if offset == 0 { + highBitMask = 0x00 + } + + target[offset] = byte(n&0x7f) | highBitMask + if n <= 0x7f { + break + } + n = (n >> 7) - 1 + } + + // Reverse the bytes so it is MSB-encoded. + for i, j := 0, offset; i < j; i, j = i+1, j-1 { + target[i], target[j] = target[j], target[i] + } + + return offset + 1 +} + +// DeserializeVLQ deserializes the provided variable-length quantity according +// to the format described above. It also returns the number of bytes +// deserialized. +func DeserializeVLQ(serialized []byte) (uint64, int) { + var n uint64 + var size int + for _, val := range serialized { + size++ + n = (n << 7) | uint64(val&0x7f) + if val&0x80 != 0x80 { + break + } + n++ + } + + return n, size +} + +// maxUint32VLQSerializeSize is the maximum number of bytes a max uint32 takes +// to serialize as a VLQ. +var MaxUint32VLQSerializeSize = SerializeSizeVLQ(1<<32 - 1) diff --git a/core/types/account.go b/core/types/account.go new file mode 100644 index 0000000..096df9e --- /dev/null +++ b/core/types/account.go @@ -0,0 +1,6 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +// An identifier for an account of the system, which stand for a address +type Account Address diff --git a/core/types/addr.go b/core/types/addr.go new file mode 100644 index 0000000..b02bf61 --- /dev/null +++ b/core/types/addr.go @@ -0,0 +1,42 @@ +// Copyright 2017-2018 The qitmeer developers +package types + +import ( + "github.com/Qitmeer/qng-core/crypto/ecc" +) + +type Address interface { + // String returns the string encoding of the transaction output + // destination. + // + // Please note that String differs subtly from EncodeAddress: String + // will return the value as a string without any conversion, while + // EncodeAddress may convert destination types (for example, + // converting pubkeys to P2PKH addresses) before encoding as a + // payment address string. + String() string + + // with encode + Encode() string + + // Hash160 returns the Hash160(data) where data is the data normally + // hashed to 160 bits from the respective address type. + Hash160() *[20]byte + + EcType() ecc.EcType + + // raw byte in script, aka the hash in the most case + Script() []byte + + // TODO, revisit the design of address type decision + // IsForNetwork returns whether or not the address is associated with the + // passed network. + // IsForNetwork(hashID [2]byte) bool +} + +type AddressType byte + +const ( + LegerAddress AddressType = 0x01 + ContractAddress AddressType = 0x02 +) diff --git a/core/types/amount.go b/core/types/amount.go new file mode 100644 index 0000000..7007362 --- /dev/null +++ b/core/types/amount.go @@ -0,0 +1,231 @@ +// Copyright 2017-2018 The qitmeer developers +// Copyright 2015 The Decred developers +// Copyright 2013, 2014 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +import ( + "errors" + "math" + "strconv" +) + +// AmountUnit describes a method of converting an Amount to something +// other than the base unit of a coin. The value of the AmountUnit +// is the exponent component of the decadic multiple to convert from +// an amount in coins to an amount counted in atomic units. +type AmountUnit int + +// These constants define various units used when describing a coin +// monetary amount. +const ( + AmountMegaCoin AmountUnit = 6 + AmountKiloCoin AmountUnit = 3 + AmountCoin AmountUnit = 0 + AmountMilliCoin AmountUnit = -3 + AmountMicroCoin AmountUnit = -6 + AmountAtom AmountUnit = -8 +) + +// String returns the unit as a string. For recognized units, the SI +// prefix is used, or "Atom" for the base unit. For all unrecognized +// units, "1eN MEER" is returned, where N is the AmountUnit. +func (u AmountUnit) String() string { + switch u { + case AmountMegaCoin: + return "M" + case AmountKiloCoin: + return "k" + case AmountCoin: + return "" + case AmountMilliCoin: + return "m" + case AmountMicroCoin: + return "μ" + case AmountAtom: + return "atom" + default: + return "1e" + strconv.FormatInt(int64(u), 10) + " " + } +} + +// Amount represents the base coin monetary unit (colloquially referred +// to as an `Atom'). A single Amount is equal to 1e-8 of a coin. +// size is 10 bytes ( value -> 8 byte , coinId -> 2 byte) +type Amount struct { + Value int64 + Id CoinID +} + +func checkMaxAmount(x *Amount) error { + if x.Value > MaxAmount { + return errors.New("x+y, x exceeds max amount of " + x.Id.Name()) + } + return nil +} +func checkSameCoinId(x, y CoinID) error { + if x != y { + err := errors.New("invalid amount add, unmatched " + + x.Name() + " with " + y.Name()) + return err + } + return nil +} + +func (z *Amount) Add(x, y *Amount) (*Amount, error) { + err := checkSameCoinId(z.Id, x.Id) + if err != nil { + return z, err + } + err = checkSameCoinId(x.Id, y.Id) + if err != nil { + return z, err + } + err = checkMaxAmount(x) + if err != nil { + return z, err + } + err = checkMaxAmount(y) + if err != nil { + return z, err + } + sum := x.Value + y.Value + if x.Value > 0 && y.Value > 0 && sum < 0 { + err := errors.New("add overflow") + return z, err + } + if x.Value < 0 && y.Value < 0 && sum > 0 { + err := errors.New("add overflow") + return z, err + } + z.Value = sum + return z, nil +} + +// AmountGroup represents a group of multiple Amount, +type AmountGroup []Amount + +// AmountMap represents a map of multiple Amount, +type AmountMap map[CoinID]int64 + +func (am AmountMap) Add(other AmountMap) { + if len(other) <= 0 { + return + } + for k, v := range am { + ov, ok := other[k] + if !ok { + continue + } + am[k] = v + ov + } + + for k, v := range other { + _, ok := am[k] + if !ok { + am[k] = v + } + } +} + +// round converts a floating point number, which may or may not be representable +// as an integer, to the Amount integer type by rounding to the nearest integer. +// This is performed by adding or subtracting 0.5 depending on the sign, and +// relying on integer truncation to round the value to the nearest Amount. +func round(f float64) int64 { + if f < 0 { + return int64(f - 0.5) + } + return int64(f + 0.5) +} + +// NewAmount creates an Amount from a floating point value representing +// some value in the currency. NewAmount errors if f is NaN or +-Infinity, +// but does not check that the amount is within the total amount of coins +// producible as f may not refer to an amount at a single moment in time. +// +// NewAmount is for specifically for converting qitmeer to Atoms (atomic units). +// For creating a new Amount with an int64 value which denotes a quantity of +// Atoms, do a simple type conversion from type int64 to Amount. +func NewAmount(f float64) (*Amount, error) { + // The amount is only considered invalid if it cannot be represented + // as an integer type. This may happen if f is NaN or +-Infinity. + switch { + case math.IsNaN(f): + fallthrough + case math.IsInf(f, 1): + fallthrough + case math.IsInf(f, -1): + return &Amount{0, MEERID}, errors.New("invalid coin amount") + } + + return &Amount{round(f * AtomsPerCoin), MEERID}, nil +} + +func NewMeer(a uint64) (*Amount, error) { + amt := Amount{int64(a), MEERID} + err := checkMaxAmount(&amt) + if err != nil { + zero := Amount{0, MEERID} + return &zero, err + } + return &amt, nil +} + +// ToUnit converts a monetary amount counted in coin base units to a +// floating point value representing an amount of coins. +func (a *Amount) ToUnit(u AmountUnit) float64 { + return float64(a.Value) / math.Pow10(int(u+8)) +} + +// ToCoin is the equivalent of calling ToUnit with AmountCoin. +func (a *Amount) ToCoin() float64 { + return a.ToUnit(AmountCoin) +} + +// Format formats a monetary amount counted in coin base units as a +// string for a given unit. The conversion will succeed for any unit, +// however, known units will be formated with an appended label describing +// the units with SI notation, or "atom" for the base unit. +func (a *Amount) Format(u AmountUnit) string { + units := " " + u.String() + a.Id.Name() + return strconv.FormatFloat(a.ToUnit(u), 'f', -int(u+8), 64) + units +} + +// String is the equivalent of calling Format with AmountCoin. +func (a *Amount) String() string { + return a.Format(AmountCoin) +} + +// MulF64 multiplies an Amount by a floating point value. While this is not +// an operation that must typically be done by a full node or wallet, it is +// useful for services that build on top of qitmeer (for example, calculating +// a fee by multiplying by a percentage). +func (a *Amount) MulF64(f float64) *Amount { + return &Amount{round(float64(a.Value) * f), a.Id} +} + +// AmountSorter implements sort.Interface to allow a slice of Amounts to +// be sorted. +type AmountSorter []Amount + +// Len returns the number of Amounts in the slice. It is part of the +// sort.Interface implementation. +func (s AmountSorter) Len() int { + return len(s) +} + +// Swap swaps the Amounts at the passed indices. It is part of the +// sort.Interface implementation. +func (s AmountSorter) Swap(i, j int) { + s[i], s[j] = s[j], s[i] +} + +// Less returns whether the Amount with index i should sort before the +// Amount with index j. It is part of the sort.Interface +// implementation. +func (s AmountSorter) Less(i, j int) bool { + return s[i].Value < s[j].Value +} diff --git a/core/types/amount_test.go b/core/types/amount_test.go new file mode 100644 index 0000000..4f53ab9 --- /dev/null +++ b/core/types/amount_test.go @@ -0,0 +1,408 @@ +// Copyright 2017-2020 The qitmeer developers +// Copyright 2015 The Decred developers +// Copyright 2013, 2014 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +import ( + "bytes" + "math" + "reflect" + "sort" + "testing" +) + +func TestAmountCreation(t *testing.T) { + tests := []struct { + name string + amount float64 + valid bool + expected Amount + }{ + // Positive tests. + { + name: "zero", + amount: 0, + valid: true, + expected: Amount{0, MEERID}, + }, + { + name: "max producable", + amount: 21e6, + valid: true, + expected: Amount{MaxAmount, MEERID}, + }, + { + name: "min producable", + amount: -21e6, + valid: true, + expected: Amount{-MaxAmount, MEERID}, + }, + { + name: "exceeds max producable", + amount: 21e6 + 1e-8, + valid: true, + expected: Amount{MaxAmount + 1, MEERID}, + }, + { + name: "exceeds min producable", + amount: -21e6 - 1e-8, + valid: true, + expected: Amount{-MaxAmount - 1, MEERID}, + }, + { + name: "one hundred", + amount: 100, + valid: true, + expected: Amount{100 * AtomsPerCoin, MEERID}, + }, + { + name: "fraction", + amount: 0.01234567, + valid: true, + expected: Amount{1234567, MEERID}, + }, + { + name: "rounding up", + amount: 54.999999999999943157, + valid: true, + expected: Amount{55 * AtomsPerCoin, MEERID}, + }, + { + name: "rounding down", + amount: 55.000000000000056843, + valid: true, + expected: Amount{55 * AtomsPerCoin, MEERID}, + }, + + // Negative tests. + { + name: "not-a-number", + amount: math.NaN(), + valid: false, + }, + { + name: "-infinity", + amount: math.Inf(-1), + valid: false, + }, + { + name: "+infinity", + amount: math.Inf(1), + valid: false, + }, + } + + for _, test := range tests { + a, err := NewAmount(test.amount) + switch { + case test.valid && err != nil: + t.Errorf("%v: Positive test Amount creation failed with: %v", test.name, err) + continue + case !test.valid && err == nil: + t.Errorf("%v: Negative test Amount creation succeeded (value %v) when should fail", test.name, a) + continue + } + + if *a != test.expected { + t.Errorf("%v: Created amount %v does not match expected %v", test.name, a, test.expected) + continue + } + } +} + +func TestAmountUnitConversions(t *testing.T) { + tests := []struct { + name string + amount Amount + unit AmountUnit + converted float64 + s string + }{ + { + name: "MMEER", + amount: Amount{MaxAmount, MEERID}, + unit: AmountMegaCoin, + converted: 21, + s: "21 MMEER", + }, + { + name: "kMEER", + amount: Amount{44433322211100, MEERID}, + unit: AmountKiloCoin, + converted: 444.33322211100, + s: "444.333222111 kMEER", + }, + { + name: "MEER", + amount: Amount{44433322211100, MEERID}, + unit: AmountCoin, + converted: 444333.22211100, + s: "444333.222111 MEER", + }, + { + name: "mMEER", + amount: Amount{44433322211100, MEERID}, + unit: AmountMilliCoin, + converted: 444333222.11100, + s: "444333222.111 mMEER", + }, + { + + name: "μMEER", + amount: Amount{44433322211100, MEERID}, + unit: AmountMicroCoin, + converted: 444333222111.00, + s: "444333222111 μMEER", + }, + { + + name: "atom", + amount: Amount{44433322211100, MEERID}, + unit: AmountAtom, + converted: 44433322211100, + s: "44433322211100 atomMEER", + }, + { + + name: "non-standard unit", + amount: Amount{44433322211100, MEERID}, + unit: AmountUnit(-1), + converted: 4443332.2211100, + s: "4443332.22111 1e-1 MEER", + }, + } + + for _, test := range tests { + f := test.amount.ToUnit(test.unit) + if f != test.converted { + t.Errorf("%v: converted value %v does not match expected %v", test.name, f, test.converted) + continue + } + + s := test.amount.Format(test.unit) + if s != test.s { + t.Errorf("%v: format '%v' does not match expected '%v'", test.name, s, test.s) + continue + } + + // Verify that Amount.ToCoin works as advertised. + f1 := test.amount.ToUnit(AmountCoin) + f2 := test.amount.ToCoin() + if f1 != f2 { + t.Errorf("%v: ToCoin does not match ToUnit(AmountCoin): %v != %v", test.name, f1, f2) + } + + // Verify that Amount.String works as advertised. + s1 := test.amount.Format(AmountCoin) + s2 := test.amount.String() + if s1 != s2 { + t.Errorf("%v: String does not match Format(AmountCoin): %v != %v", test.name, s1, s2) + } + } +} + +func TestAmountMulF64(t *testing.T) { + tests := []struct { + name string + amt Amount + mul float64 + res Amount + }{ + { + name: "Multiply 0.1 MEER by 2", + amt: Amount{100e5, MEERID}, // 0.1 MEER + mul: 2, + res: Amount{200e5, MEERID}, // 0.2 MEER + }, + { + name: "Multiply 0.2 MEER by 0.02", + amt: Amount{200e5, MEERID}, // 0.2 MEER + mul: 1.02, + res: Amount{204e5, MEERID}, // 0.204 MEER + }, + { + name: "Multiply 0.1 MEER by -2", + amt: Amount{100e5, MEERID}, // 0.1 MEER + mul: -2, + res: Amount{-200e5, MEERID}, // -0.2 MEER + }, + { + name: "Multiply 0.2 MEER by -0.02", + amt: Amount{200e5, MEERID}, // 0.2 MEER + mul: -1.02, + res: Amount{-204e5, MEERID}, // -0.204 MEER + }, + { + name: "Multiply -0.1 MEER by 2", + amt: Amount{-100e5, MEERID}, // -0.1 MEER + mul: 2, + res: Amount{-200e5, MEERID}, // -0.2 MEER + }, + { + name: "Multiply -0.2 MEER by 0.02", + amt: Amount{-200e5, MEERID}, // -0.2 MEER + mul: 1.02, + res: Amount{-204e5, MEERID}, // -0.204 MEER + }, + { + name: "Multiply -0.1 MEER by -2", + amt: Amount{-100e5, MEERID}, // -0.1 MEER + mul: -2, + res: Amount{200e5, MEERID}, // 0.2 MEER + }, + { + name: "Multiply -0.2 MEER by -0.02", + amt: Amount{-200e5, MEERID}, // -0.2 MEER + mul: -1.02, + res: Amount{204e5, MEERID}, // 0.204 MEER + }, + { + name: "Round down", + amt: Amount{49, MEERID}, // 49 Atoms MEER + mul: 0.01, + res: Amount{0, MEERID}, + }, + { + name: "Round up", + amt: Amount{50, MEERID}, // 50 Atom MEER + mul: 0.01, + res: Amount{1, MEERID}, // 1 Atom MEER + }, + { + name: "Multiply by 0.", + amt: Amount{1e8, MEERID}, // 1 MEER + mul: 0, + res: Amount{0, MEERID}, // 0 MEER + }, + { + name: "Multiply 1 by 0.5.", + amt: Amount{1, MEERID}, // 1 Atom MEER + mul: 0.5, + res: Amount{1, MEERID}, // 1 Atom MEER + }, + { + name: "Multiply 100 by 66%.", + amt: Amount{100, MEERID}, // 100 Atom MEER + mul: 0.66, + res: Amount{66, MEERID}, // 66 Atom MEER + }, + { + name: "Multiply 100 by 66.6%.", + amt: Amount{100, MEERID}, // 100 Atom MEER + mul: 0.666, + res: Amount{67, MEERID}, // 67 Atom MEER + }, + { + name: "Multiply 100 by 2/3.", + amt: Amount{100, MEERID}, // 100 Atom MEER + mul: 2.0 / 3, + res: Amount{67, MEERID}, // 67 Atoms MEER + }, + } + + for _, test := range tests { + a := test.amt.MulF64(test.mul) + if *a != test.res { + t.Errorf("%v: expected %v got %v", test.name, test.res, a) + } + } +} + +func TestAmountSorter(t *testing.T) { + tests := []struct { + name string + as []Amount + want []Amount + }{ + { + name: "Sort zero length slice of Amounts", + as: []Amount{}, + want: []Amount{}, + }, + { + name: "Sort 1-element slice of Amounts", + as: []Amount{{7, MEERID}}, + want: []Amount{{7, MEERID}}, + }, + { + name: "Sort 2-element slice of Amounts", + as: []Amount{{7, MEERID}, {5, MEERID}}, + want: []Amount{{5, MEERID}, {7, MEERID}}, + }, + { + name: "Sort 6-element slice of Amounts", + as: []Amount{ + {0, MEERID}, + {9e8, MEERID}, + {4e6, MEERID}, + {4e6, MEERID}, + {3, MEERID}, + {9e12, MEERID}}, + want: []Amount{ + {0, MEERID}, + {3, MEERID}, + {4e6, MEERID}, + {4e6, MEERID}, + {9e8, MEERID}, + {9e12, MEERID}}, + }, + } + + for i, test := range tests { + result := make([]Amount, len(test.as)) + copy(result, test.as) + sort.Sort(AmountSorter(result)) + if !reflect.DeepEqual(result, test.want) { + t.Errorf("AmountSorter #%d got %v want %v", i, result, + test.want) + continue + } + } +} + +func TestCheckCoinID(t *testing.T) { + tests := []struct { + name string + expect bool + coinId CoinID + }{ + {"meer", true, CoinID(0)}, + {"unknow", false, CoinID(4)}, + } + + for i, test := range tests { + err := CheckCoinID(test.coinId) + if test.expect == true && err != nil { + t.Errorf("failed test[%d]:[%v] Check [%v] expect ok, but got err: %v", i, test.name, test.coinId, err) + } + if test.expect == false && err == nil { + t.Errorf("failed test[%d]:[%v] Check [%v] expect failure, but got no err.", i, test.name, test.coinId) + } + } +} + +func TestCoinID_Bytes(t *testing.T) { + tests := []struct { + id CoinID + byte []byte + equal bool + }{ + {CoinID(0), []byte{0x0, 0x0}, true}, + {CoinID(1), []byte{0x1, 0x0}, true}, + {CoinID(2), []byte{0x2, 0x0}, true}, + {CoinID(2), []byte{0x0, 0x2}, false}, + {CoinID(2), []byte{0x2, 0x0, 0x0, 0x0}, false}, + {CoinID(255), []byte{0xff, 0x00}, true}, + {CoinID(256), []byte{0x00, 0x01}, true}, + {CoinID(65535), []byte{0xff, 0xff}, true}, + } + for _, test := range tests { + if equal := bytes.Compare(test.id.Bytes(), test.byte); equal == 0 != test.equal { + t.Errorf("failed on test %v == %v is %v", test.id, test.byte, test.equal) + } + } + +} diff --git a/core/types/authority.go b/core/types/authority.go new file mode 100644 index 0000000..81382c6 --- /dev/null +++ b/core/types/authority.go @@ -0,0 +1,6 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +/// An identifier for an authority in the consensus algorithm. +type AuthorityId Address diff --git a/core/types/block.go b/core/types/block.go new file mode 100644 index 0000000..310db01 --- /dev/null +++ b/core/types/block.go @@ -0,0 +1,620 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "bytes" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + s "github.com/Qitmeer/qng-core/core/serialization" + "github.com/Qitmeer/qng-core/core/types/pow" + "io" + "math/big" + "time" +) + +// MaxBlockHeaderPayload is the maximum number of bytes a block header can be. +// Version 4 bytes + ParentRoot 32 bytes + TxRoot 32 bytes + StateRoot 32 bytes + Difficulty 4 bytes + Timestamp 4 bytes +// + nonce 8 bytes + powType 1 byte + edges_bits 1 byte + 42circles 42*4 bytes +// total 117 + 169 = 286 +// hash pow only need 117 bytes +// cuckoo need 286 bytes +const MaxBlockHeaderPayload = 4 + (hash.HashSize * 3) + 4 + 4 + 8 + 1 + 1 + 42*4 + +// MaxBlockPayload is the maximum bytes a block message can be in bytes. +const MaxBlockPayload = 1048576 // 1024*1024 (1MB) + +// MaxTxPerBlock is the maximum number of transactions that could +// possibly fit into a block. +const MaxTxPerBlock = (MaxBlockPayload / minTxPayload) + 1 + +//Limited parents quantity +const MaxParentsPerBlock = 50 + +// blockHeaderLen is a constant that represents the number of bytes for a block +// header. common header need 117 bytes , proof data need extra 169 bytes +const blockHeaderLen = 117 + 169 + +// MaxBlocksPerMsg is the maximum number of blocks allowed per message. +const MaxBlocksPerMsg = 500 + +type BlockHeader struct { + + // block version + Version uint32 + + // The merkle root of the previous parent blocks (the dag layer) + ParentRoot hash.Hash + + // The merkle root of the tx tree (tx of the block) + // included Witness here instead of the separated witness commitment + TxRoot hash.Hash + + // bip157/158 cbf + // CompactFilter Hash + + // The merkle root of the stake commits tire + // for votes/voters/commits/pre-commits/validator/evidence etc, (the pos layer) + // StakeRoot Hash + + // The app result/receipt after the tx executed + // the UTXO commitment also a kind of state result after tx redeemed + // ResultRoot/ReceiptRoot hash.Hash + + // The Multiset hash of UTXO set or(?) merkle range/path or(?) tire tree root + // UtxoCommitment hash.Hash + + // The merkle root of state tire (the app data layer) + // can all of the state data (stake, receipt, utxo) in state root? + StateRoot hash.Hash + + // Difficulty target for tx + Difficulty uint32 + + // TimeStamp + Timestamp time.Time + + // pow blake2bd | cuckaroo | cuckatoo + Pow pow.IPow + + //might extra data here + + // Size is the size of the serialized block/block-header in its entirety. + + // The variable-sized block might require a size serialized & verify-check + // BlockSize uint32 + +} + +// BlockHash computes the block identifier hash for the given block header. +func (h *BlockHeader) BlockHash() hash.Hash { + // Encode the header and hash256 everything prior to the number of + // transactions. Ignore the error returns since there is no way the + // encode could fail except being out of memory which would cause a + // run-time panic. + return hash.DoubleHashH(h.BlockData()) + +} + +// BlockData computes the block data for block hash. +// Block data has the dynamic length. +// - blake2bd data is 117 bytes . +// - cuckoo data is 282 bytes . +func (bh *BlockHeader) BlockData() []byte { + // Encode the header and hash256 everything prior to the number of + // transactions. Ignore the error returns since there is no way the + // encode could fail except being out of memory which would cause a + // run-time panic. + buf := bytes.NewBuffer(make([]byte, 0, MaxBlockHeaderPayload)) + // TODO, redefine the protocol version and storage + sec := uint32(bh.Timestamp.Unix()) + _ = s.WriteElements(buf, bh.Version, &bh.ParentRoot, &bh.TxRoot, + &bh.StateRoot, bh.Difficulty, sec, bh.Pow.BlockData()) + return buf.Bytes() +} + +// readBlockHeader reads a block header from io reader. See Deserialize for +// decoding block headers stored to disk, such as in a database, as opposed to +// decoding from the type. +// TODO, redefine the protocol version and storage +func readBlockHeader(r io.Reader, pver uint32, bh *BlockHeader) error { + // TODO fix time ambiguous + return s.ReadElements(r, &bh.Version, &bh.ParentRoot, &bh.TxRoot, + &bh.StateRoot, &bh.Difficulty, (*s.Uint32Time)(&bh.Timestamp), + &bh.Pow) +} + +// writeBlockHeader writes a block header to w. See Serialize for +// encoding block headers to be stored to disk, such as in a database, as +// opposed to encoding for the type. +// TODO, redefine the protocol version and storage +func writeBlockHeader(w io.Writer, pver uint32, bh *BlockHeader) error { + // TODO fix time ambiguous + sec := uint32(bh.Timestamp.Unix()) + return s.WriteElements(w, bh.Version, &bh.ParentRoot, &bh.TxRoot, + &bh.StateRoot, bh.Difficulty, sec, bh.Pow.Bytes()) +} + +// This function get the simple hash use each parents string, so it can't use to +// check for block body .At present we use the merkles tree. +func GetParentsRoot(parents []*hash.Hash) hash.Hash { + if len(parents) == 0 { + return hash.Hash{} + } + hashStr := "" + for _, v := range parents { + hashStr += v.String() + } + return hash.DoubleHashH([]byte(hashStr)) +} + +// Serialize encodes a block header from r into the receiver using a format +// that is suitable for long-term storage such as a database while respecting +// the Version field. +func (h *BlockHeader) Serialize(w io.Writer) error { + // At the current time, there is no difference between the wire encoding + // at protocol version 0 and the stable long-term storage format. As + // a result, make use of writeBlockHeader. + return writeBlockHeader(w, 0, h) +} + +// Deserialize decodes a block header from r into the receiver using a format +// that is suitable for long-term storage such as a database while respecting +// the Version field. +func (h *BlockHeader) Deserialize(r io.Reader) error { + // At the current time, there is no difference between the wire encoding + // at protocol version 0 and the stable long-term storage format. As + // a result, make use of readBlockHeader. + return readBlockHeader(r, 0, h) +} + +type Block struct { + Header BlockHeader + Parents []*hash.Hash + Transactions []*Transaction //tx 6 + //Commits []*StakeCommit //vote for +} + +// BlockHash computes the block identifier hash for this block. +func (block *Block) BlockHash() hash.Hash { + return block.Header.BlockHash() +} + +// SerializeSize returns the number of bytes it would take to serialize the +// the block. +func (block *Block) SerializeSize() int { + // Check to make sure that all transactions have the correct + // type and version to be included in a block. + + // Block header bytes + Serialized varint size for the number of + // transactions + Serialized varint size for the number of + // stake transactions + + n := blockHeaderLen + s.VarIntSerializeSize(uint64(len(block.Parents))) + s.VarIntSerializeSize(uint64(len(block.Transactions))) + + for i := 0; i < len(block.Parents); i++ { + n += hash.HashSize + } + + for _, tx := range block.Transactions { + n += tx.SerializeSize() + } + + //TODO, handle parents + + return n +} + +// Serialize encodes the block to w using a format that suitable for long-term +// storage such as a database while respecting the Version field in the block. +func (block *Block) Serialize(w io.Writer) error { + // At the current time, there is no difference between the wire encoding + // at protocol version 0 and the stable long-term storage format. + // TODO, redefine the protocol version and storage + return block.Encode(w, 0) +} + +// Encode encodes the receiver to w using the protocol encoding. +// This is part of the Message interface implementation. +// See Serialize for encoding blocks to be stored to disk, such as in a +// database, as opposed to encoding blocks for the wire. +func (block *Block) Encode(w io.Writer, pver uint32) error { + err := writeBlockHeader(w, pver, &block.Header) + if err != nil { + return err + } + + //TODO, write block.Parents + err = s.WriteVarInt(w, pver, uint64(len(block.Parents))) + if err != nil { + return err + } + for _, pb := range block.Parents { + err = s.WriteElements(w, pb) + if err != nil { + return err + } + } + // + err = s.WriteVarInt(w, pver, uint64(len(block.Transactions))) + if err != nil { + return err + } + + for _, tx := range block.Transactions { + err = tx.Encode(w, pver, TxSerializeFull) + if err != nil { + return err + } + } + return nil +} + +// Deserialize decodes a block from r into the receiver using a format that is +// suitable for long-term storage such as a database while respecting the +// Version field in the block. +func (b *Block) Deserialize(r io.Reader) error { + // At the current time, there is no difference between the wire encoding + // at protocol version 0 and the stable long-term storage format. As + // a result, make use of Decode. + return b.Decode(r, 0) +} + +// decodes r into the receiver. +// See Deserialize for decoding blocks stored to disk, such as in a database, as +// opposed to decoding blocks . +func (b *Block) Decode(r io.Reader, pver uint32) error { + err := readBlockHeader(r, pver, &b.Header) + if err != nil { + return err + } + // + pbCount, err := s.ReadVarInt(r, pver) + if err != nil { + return err + } + if pbCount > MaxParentsPerBlock { + str := fmt.Sprintf("too many parents to fit into a block "+ + "[count %d, max %d]", pbCount, MaxParentsPerBlock) + return fmt.Errorf("MsgBlock.BtcDecode %s", str) + } + b.Parents = make([]*hash.Hash, 0, pbCount) + phash := hash.Hash{} + for i := uint64(0); i < pbCount; i++ { + err = s.ReadElements(r, &phash) + if err != nil { + return err + } + ph := phash + b.Parents = append(b.Parents, &ph) + } + // + txCount, err := s.ReadVarInt(r, pver) + if err != nil { + return err + } + + b.Transactions = make([]*Transaction, 0, txCount) + for i := uint64(0); i < txCount; i++ { + var tx Transaction + err := tx.Deserialize(r) + if err != nil { + return err + } + b.Transactions = append(b.Transactions, &tx) + } + + return nil +} + +// DeserializeTxLoc decodes r in the same manner Deserialize does, but it takes +// a byte buffer instead of a generic reader and returns a slice containing the +// start and length of each transaction within the raw data that is being +// deserialized. +func (b *Block) DeserializeTxLoc(r *bytes.Buffer) ([]TxLoc, error) { + fullLen := r.Len() + + // At the current time, there is no difference between the wire encoding + // at protocol version 0 and the stable long-term storage format. As + // a result, make use of existing wire protocol functions. + err := readBlockHeader(r, 0, &b.Header) + if err != nil { + return nil, err + } + // + pbCount, err := s.ReadVarInt(r, 0) + if err != nil { + return nil, err + } + if pbCount > MaxParentsPerBlock { + str := fmt.Sprintf("too many parents to fit into a block "+ + "[count %d, max %d]", pbCount, MaxParentsPerBlock) + return nil, fmt.Errorf("MsgBlock.BtcDecode %s", str) + } + b.Parents = make([]*hash.Hash, 0, pbCount) + phash := hash.Hash{} + for i := uint64(0); i < pbCount; i++ { + err = s.ReadElements(r, &phash) + if err != nil { + return nil, err + } + ph := phash + b.Parents = append(b.Parents, &ph) + } + + // + + txCount, err := s.ReadVarInt(r, 0) + if err != nil { + return nil, err + } + // Prevent more transactions than could possibly fit into a block. + // It would be possible to cause memory exhaustion and panics without + // a sane upper bound on this count. + if txCount > MaxTxPerBlock { + return nil, fmt.Errorf("Block.DeserializeTxLoc: too many transactions to fit into a block "+ + "[count %d, max %d]", txCount, MaxTxPerBlock) + } + + // Deserialize each transaction while keeping track of its location + // within the byte stream. + b.Transactions = make([]*Transaction, 0, txCount) + txLocs := make([]TxLoc, txCount) + for i := uint64(0); i < txCount; i++ { + txLocs[i].TxStart = fullLen - r.Len() + var tx Transaction + err := tx.Deserialize(r) + if err != nil { + return nil, err + } + b.Transactions = append(b.Transactions, &tx) + txLocs[i].TxLen = (fullLen - r.Len()) - txLocs[i].TxStart + } + return txLocs, nil +} + +// AddTransaction adds a transaction to the message. +func (b *Block) AddTransaction(tx *Transaction) error { + b.Transactions = append(b.Transactions, tx) + return nil + +} + +// AddTransaction adds a transaction to the message. +func (b *Block) AddParent(h *hash.Hash) error { + b.Parents = append(b.Parents, h) + return nil + +} + +// SerializedBlock provides easier and more efficient manipulation of raw blocks. +// It also memorizes hashes for the block and its transactions on their first +// access so subsequent accesses don't have to repeat the relatively expensive +// hashing operations. +type SerializedBlock struct { + block *Block // Underlying Block + hash hash.Hash // Cached block hash + serializedBytes []byte // Serialized bytes for the block + transactions []*Tx // Transactions + txnsGenerated bool // ALL wrapped transactions generated + order uint64 //order is in the position of whole block chain. + height uint //height is in the sub dag chain. +} + +// The stringer method makes SerializedBlock satisfy the Stringer interface. +// It simplifies the message printing in the trace logs. +func (sb *SerializedBlock) String() string { + return fmt.Sprintf("blockhash: %v transactions:%d txnsGenerated:%v order:%d height:%d", + sb.hash.String(), len(sb.transactions), sb.txnsGenerated, sb.order, sb.height) +} + +// NewBlock returns a new instance of the serialized block given an underlying Block. +// the block hash has been calculated and cached +func NewBlock(block *Block) *SerializedBlock { + return &SerializedBlock{ + hash: block.BlockHash(), + block: block, + } +} + +// NewBlockFromBlockAndBytes returns a new instance of a block given +// an underlying Block and the serialized bytes for it. +func NewBlockFromBlockAndBytes(block *Block, serializedBytes []byte) *SerializedBlock { + return &SerializedBlock{ + hash: block.BlockHash(), + block: block, + serializedBytes: serializedBytes, + } +} + +// NewBlockDeepCopyCoinbase returns a new instance of a block given an underlying +// wire.MsgBlock, but makes a deep copy of the coinbase transaction since it's +// sometimes mutable. +func NewBlockDeepCopyCoinbase(msgBlock *Block) *SerializedBlock { + // Copy the msgBlock and the pointers to all the transactions. + msgBlockCopy := new(Block) + + msgBlockCopy.Parents = msgBlock.Parents + + lenTxs := len(msgBlock.Transactions) + mtxsCopy := make([]*Transaction, lenTxs) + copy(mtxsCopy, msgBlock.Transactions) + + msgBlockCopy.Transactions = mtxsCopy + + msgBlockCopy.Header = msgBlock.Header + + // Deep copy the first transaction. Also change the coinbase pointer. + msgBlockCopy.Transactions[0] = + NewTxDeep(msgBlockCopy.Transactions[0]).Transaction() + + bl := &SerializedBlock{ + block: msgBlockCopy, + } + bl.hash = msgBlock.BlockHash() + + return bl +} + +// Hash returns the block identifier hash for the Block. This is equivalent to +// calling BlockHash on the underlying Block, however it caches the +// result so subsequent calls are more efficient. +func (sb *SerializedBlock) Hash() *hash.Hash { + //TODO, might need to assertBlockImmutability + return &sb.hash +} + +func (sb *SerializedBlock) Block() *Block { + return sb.block +} + +// NewBlockFromBytes returns a new instance of a block given the +// serialized bytes. See Block. +func NewBlockFromBytes(serializedBytes []byte) (*SerializedBlock, error) { + br := bytes.NewReader(serializedBytes) + b, err := NewBlockFromReader(br) + if err != nil { + return nil, err + } + b.serializedBytes = serializedBytes + + return b, nil +} + +// NewBlockFromReader returns a new instance of a block given a +// Reader to deserialize the block. See Block. +func NewBlockFromReader(r io.Reader) (*SerializedBlock, error) { + // Deserialize the bytes into a MsgBlock. + var block Block + err := block.Deserialize(r) + if err != nil { + return nil, err + } + sb := NewBlock(&block) + return sb, nil +} + +// Bytes returns the serialized bytes for the Block. This is equivalent to +// calling Serialize on the underlying Block, however it caches the +// result so subsequent calls are more efficient. +func (sb *SerializedBlock) Bytes() ([]byte, error) { + // Return the cached serialized bytes if it has already been generated. + if len(sb.serializedBytes) != 0 { + return sb.serializedBytes, nil + } + + // Serialize the MsgBlock. + var w bytes.Buffer + w.Grow(sb.block.SerializeSize()) + err := sb.block.Serialize(&w) + if err != nil { + return nil, err + } + serialized := w.Bytes() + + // Cache the serialized bytes and return them. + sb.serializedBytes = serialized + return serialized, nil +} + +// TxLoc returns the offsets and lengths of each transaction in a raw block. +// It is used to allow fast indexing into transactions within the raw byte +// stream. +func (sb *SerializedBlock) TxLoc() ([]TxLoc, error) { + rawMsg, err := sb.Bytes() + if err != nil { + return nil, err + } + rbuf := bytes.NewBuffer(rawMsg) + + var mblock Block + txLocs, err := mblock.DeserializeTxLoc(rbuf) + if err != nil { + return nil, err + } + return txLocs, err +} + +// Order returns a casted int64 order from the block header. +// +// This function should not be used for new code and will be +// removed in the future. +func (sb *SerializedBlock) Order() uint64 { + return sb.order +} + +func (sb *SerializedBlock) SetOrder(order uint64) { + sb.order = order +} + +func (sb *SerializedBlock) Height() uint { + return sb.height +} + +func (sb *SerializedBlock) SetHeight(height uint) { + sb.height = height +} + +// Transactions returns a slice of wrapped transactions for all +// transactions in the Block. This is nearly equivalent to accessing the raw +// transactions (types.Transaction) in the underlying types.Block, however it +// instead provides easy access to wrapped versions of them. +func (sb *SerializedBlock) Transactions() []*Tx { + // Return transactions if they have ALL already been generated. This + // flag is necessary because the wrapped transactions are lazily + // generated in a sparse fashion. + if sb.txnsGenerated { + return sb.transactions + } + + // Generate slice to hold all of the wrapped transactions if needed. + if len(sb.transactions) == 0 { + sb.transactions = make([]*Tx, len(sb.block.Transactions)) + } + + // Generate and cache the wrapped transactions for all that haven't + // already been done. + for i, tx := range sb.transactions { + if tx == nil { + newTx := NewTx(sb.block.Transactions[i]) + newTx.SetIndex(i) + sb.transactions[i] = newTx + } + } + + sb.txnsGenerated = true + return sb.transactions +} + +// Contract block header +type CBlockHeader struct { + + //Contract block number + CBlockNum *big.Int + + //Parent block hash + CBlockParent hash.Hash + + // The merkle root of contract storage + ContractRoot hash.Hash + + // The merkle root the ctx receipt trie (proof of changes) + // receipt generated after ctx processed (aka. post-tx info) + ReceiptRoot hash.Hash + + // bloom filter for log entry of ctx receipt + // can we remove/combine with cbf ? + LogBloom hash.Hash + + // Difficulty target for ctx + CDifficulty uint32 + // Nonce for ctx + CNonce uint64 + + //Do we need to add Coinbase address here? +} + +type CBlock struct { + Header CBlockHeader + CTransactions []*ContractTransaction //ctx +} diff --git a/core/types/blocktemplate.go b/core/types/blocktemplate.go new file mode 100644 index 0000000..0bbef8c --- /dev/null +++ b/core/types/blocktemplate.go @@ -0,0 +1,40 @@ +package types + +// BlockTemplate houses a block that has yet to be solved along with additional +// details about the fees and the number of signature operations for each +// transaction in the block. +type BlockTemplate struct { + // Block is a block that is ready to be solved by miners. Thus, it is + // completely valid with the exception of satisfying the proof-of-work + // requirement. + Block *Block + + // Fees contains the amount of fees each transaction in the generated + // template pays in base units. Since the first transaction is the + // coinbase, the first entry (offset 0) will contain the negative of the + // sum of the fees of all other transactions. + Fees []int64 + + // SigOpCounts contains the number of signature operations each + // transaction in the generated template performs. + SigOpCounts []int64 + + // Height is the height at which the block template connects to the main + // chain. + Height uint64 + + // Blues is the count of the blue set in the block past set to + // the DAG + Blues int64 + + // ValidPayAddress indicates whether or not the template coinbase pays + // to an address or is redeemable by anyone. See the documentation on + // NewBlockTemplate for details on which this can be useful to generate + // templates without a coinbase payment address. + ValidPayAddress bool + + //pow diff + Difficulty uint32 + + BlockFeesMap AmountMap +} diff --git a/core/types/coin.go b/core/types/coin.go new file mode 100644 index 0000000..5084b08 --- /dev/null +++ b/core/types/coin.go @@ -0,0 +1,80 @@ +package types + +import ( + "encoding/binary" + "fmt" + "strconv" +) + +// from 0 ~ 65535 +// 0 ~ 255 : Qitmeer reserved +type CoinID uint16 + +const ( + MEERID CoinID = 0 + + QitmeerReservedID CoinID = 255 +) + +func (c CoinID) Name() string { + if c == MEERID { + return "MEER" + } else if t, ok := CoinNameMap[c]; ok { + return t + } else { + return "Unknown-CoinID:" + strconv.FormatInt(int64(c), 10) + } +} + +func (c CoinID) Bytes() []byte { + b := [2]byte{} + binary.LittleEndian.PutUint16(b[:], uint16(c)) + return b[:] +} + +// Is it the main coin ? +func (c CoinID) IsBase() bool { + return c == MEERID +} + +func NewCoinID(name string) CoinID { + for _, coinid := range CoinIDList { + if name == coinid.Name() { + return coinid + } + } + // panic(fmt.Sprintf("Unknown-CoinID:%s", name)) // Which way is better ? + return MEERID +} + +var CoinNameMap = map[CoinID]string{} +var CoinIDList = []CoinID{MEERID} + +// Check if a valid coinId, current only check if the coinId is known. +func CheckCoinID(id CoinID) error { + unknownCoin := true + for _, coinId := range CoinIDList { + if id == coinId { + unknownCoin = false + break + } + } + if unknownCoin { + return fmt.Errorf("unknown coin id %s", id.Name()) + } + return nil +} + +func IsKnownCoinID(id CoinID) bool { + return CheckCoinID(id) == nil +} + +const ( + // Greater than or equal to + FloorFeeType = 0 + + // Strict equality + EqualFeeType = 1 +) + +type FeeType byte diff --git a/core/types/coin_test.go b/core/types/coin_test.go new file mode 100644 index 0000000..ab1254f --- /dev/null +++ b/core/types/coin_test.go @@ -0,0 +1 @@ +package types diff --git a/core/types/common.go b/core/types/common.go new file mode 100644 index 0000000..19a0e31 --- /dev/null +++ b/core/types/common.go @@ -0,0 +1,21 @@ +// Copyright 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +const ( + // AtomsPerCent is the number of atomic units in one coin cent. + // TODO, relocate the coin related item to chain's params + AtomsPerCent = 1e6 + + // AtomsPerCoin is the number of atomic units in one coin. + // TODO, relocate the coin related item to chain's params + AtomsPerCoin = 1e8 + + // MaxAmount is the maximum transaction amount allowed in atoms. + // TODO, relocate the coin related item to chain's params + MaxAmount = 21e6 * AtomsPerCoin +) diff --git a/core/types/config.go b/core/types/config.go new file mode 100644 index 0000000..7e90cd0 --- /dev/null +++ b/core/types/config.go @@ -0,0 +1,15 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "math/big" +) + +type Config struct { + Id *big.Int `json:"Id" required:"true" min:"0"` +} + +type configJSON struct { + Id *UInt256 +} diff --git a/core/types/config_test.go b/core/types/config_test.go new file mode 100644 index 0000000..e3ab397 --- /dev/null +++ b/core/types/config_test.go @@ -0,0 +1,42 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "encoding/json" + "fmt" + "github.com/stretchr/testify/assert" + "math/big" + "os" + "strings" + "testing" +) + +func TestConfig_UnmarshalJSON(t *testing.T) { + for _, input := range []string{ + `{"Id":10} `, + `{"Id":"0xa"} `, + } { + r := strings.NewReader(input) + conf := Config{} + if err := json.NewDecoder(r).Decode(&conf); err != nil { + t.Fatal(err) + } + raw, err := conf.MarshalJSON() + if err != nil { + t.Fatal(err) + } + fmt.Fprintf(os.Stdout, "%s\n", raw) + + assert.Equal(t, big.NewInt(10), conf.Id) + } +} + +func TestConfigIdShouldNotLessThan(t *testing.T) { + input := `{"Id":-10}` + r := strings.NewReader(input) + conf := new(Config) + err := json.NewDecoder(r).Decode(&conf) + assert.NotNil(t, err) + assert.EqualError(t, err, "error field 'Id' for Config, minimal is 0") +} diff --git a/core/types/filter.go b/core/types/filter.go new file mode 100644 index 0000000..2c1477e --- /dev/null +++ b/core/types/filter.go @@ -0,0 +1,120 @@ +package types + +import ( + "fmt" + s "github.com/Qitmeer/qng-core/core/serialization" + "io" +) + +const ( + // BloomUpdateNone indicates the filter is not adjusted when a match is + // found. + BloomUpdateNone BloomUpdateType = 0 + + // BloomUpdateAll indicates if the filter matches any data element in a + // public key script, the outpoint is serialized and inserted into the + // filter. + BloomUpdateAll BloomUpdateType = 1 + + // BloomUpdateP2PubkeyOnly indicates if the filter matches a data + // element in a public key script and the script is of the standard + // pay-to-pubkey or multisig, the outpoint is serialized and inserted + // into the filter. + BloomUpdateP2PubkeyOnly BloomUpdateType = 2 + + // MaxFilterLoadHashFuncs is the maximum number of hash functions to + // load into the Bloom filter. + MaxFilterLoadHashFuncs = 50 + + // MaxFilterLoadFilterSize is the maximum size in bytes a filter may be. + MaxFilterLoadFilterSize = 36000 +) + +// MsgFilterAdd implements the Message interface and represents a qitmeer +// filteradd message. It is used to add a data element to an existing Bloom +// filter. +// +// This message was not added until protocol version BIP0037Version. +type MsgFilterAdd struct { + Data []byte +} + +// MsgFilterClear implements the Message interface and represents a qitmeer +// filterclear message which is used to reset a Bloom filter. +// +// This message was not added until protocol version BIP0037Version and has +// no payload. +type MsgFilterClear struct{} + +// BloomUpdateType specifies how the filter is updated when a match is found +type BloomUpdateType uint8 + +// MsgFilterLoad implements the Message interface and represents a bitcoin +// filterload message which is used to reset a Bloom filter. +// +// This message was not added until protocol version BIP0037Version. +type MsgFilterLoad struct { + Filter []byte + HashFuncs uint32 + Tweak uint32 + Flags BloomUpdateType +} + +// NewMsgFilterLoad returns a new bitcoin filterload message that conforms to +// the Message interface. See MsgFilterLoad for details. +func NewMsgFilterLoad(filter []byte, hashFuncs uint32, tweak uint32, flags BloomUpdateType) *MsgFilterLoad { + return &MsgFilterLoad{ + Filter: filter, + HashFuncs: hashFuncs, + Tweak: tweak, + Flags: flags, + } +} + +// QitmeerDecode decodes r using the bitcoin protocol encoding into the receiver. +// This is part of the Message interface implementation. +func (msg *MsgFilterLoad) QitmeerDecode(r io.Reader, pver uint32, enc MessageEncoding) error { + var err error + msg.Filter, err = s.ReadVarBytes(r, pver, MaxFilterLoadFilterSize, + "filterload filter size") + if err != nil { + return err + } + + err = s.ReadElements(r, &msg.HashFuncs, &msg.Tweak, &msg.Flags) + if err != nil { + return err + } + + if msg.HashFuncs > MaxFilterLoadHashFuncs { + str := fmt.Sprintf("too many filter hash functions for message "+ + "[count %v, max %v]", msg.HashFuncs, MaxFilterLoadHashFuncs) + return messageError("MsgFilterLoad.QitmeerDecode", str) + } + + return nil +} + +// QitmeerEncode encodes the receiver to w using the bitcoin protocol encoding. +// This is part of the Message interface implementation. +func (msg *MsgFilterLoad) QitmeerEncode(w io.Writer, pver uint32, enc MessageEncoding) error { + size := len(msg.Filter) + if size > MaxFilterLoadFilterSize { + str := fmt.Sprintf("filterload filter size too large for message "+ + "[size %v, max %v]", size, MaxFilterLoadFilterSize) + return messageError("MsgFilterLoad.QitmeerEncode", str) + } + + if msg.HashFuncs > MaxFilterLoadHashFuncs { + str := fmt.Sprintf("too many filter hash functions for message "+ + "[count %v, max %v]", msg.HashFuncs, MaxFilterLoadHashFuncs) + return messageError("MsgFilterLoad.QitmeerEncode", str) + } + + err := s.WriteVarBytes(w, pver, msg.Filter) + if err != nil { + return err + } + + return s.WriteElements(w, msg.HashFuncs, msg.Tweak, msg.Flags) +} diff --git a/core/types/gen_config.go b/core/types/gen_config.go new file mode 100644 index 0000000..3329832 --- /dev/null +++ b/core/types/gen_config.go @@ -0,0 +1,40 @@ +// Code generated by qitmeer/tools/ngen. DO NOT EDIT. + +package types + +import ( + "encoding/json" + "errors" + "math/big" +) + +var _ = (*configJSON)(nil) + +// MarshalJSON marshals as JSON +func (c Config) MarshalJSON() ([]byte, error) { + type Config struct { + Id *UInt256 `json:"Id" required:"true" min:"0"` + } + var enc Config + enc.Id = (*UInt256)(c.Id) + return json.Marshal(&enc) +} + +// UnmarshalJSON unmarshals from JSON +func (c *Config) UnmarshalJSON(input []byte) error { + type Config struct { + Id *UInt256 `json:"Id" required:"true" min:"0"` + } + var dec Config + if err := json.Unmarshal(input, &dec); err != nil { + return err + } + if dec.Id == nil { + return errors.New("missing required field 'Id' for Config") + } + c.Id = (*big.Int)(dec.Id) + if c.Id.Cmp(big.NewInt(0)) == -1 { + return errors.New("error field 'Id' for Config, minimal is 0") + } + return nil +} diff --git a/core/types/gen_genesis.go b/core/types/gen_genesis.go new file mode 100644 index 0000000..a2d4d18 --- /dev/null +++ b/core/types/gen_genesis.go @@ -0,0 +1,46 @@ +// Code generated by qitmeer/tools/ngen. DO NOT EDIT. + +package types + +import ( + "encoding/json" + "errors" +) + +var _ = (*genesisJSON)(nil) + +// MarshalJSON marshals as JSON +func (g Genesis) MarshalJSON() ([]byte, error) { + type Genesis struct { + Config *Config `json:"config" required:"true"` + Nonce UInt64 `json:"nonce" required:"true" min:"1"` + } + var enc Genesis + enc.Config = g.Config + enc.Nonce = UInt64(g.Nonce) + return json.Marshal(&enc) +} + +// UnmarshalJSON unmarshals from JSON +func (g *Genesis) UnmarshalJSON(input []byte) error { + type Genesis struct { + Config *Config `json:"config" required:"true"` + Nonce *UInt64 `json:"nonce" required:"true" min:"1"` + } + var dec Genesis + if err := json.Unmarshal(input, &dec); err != nil { + return err + } + if dec.Config == nil { + return errors.New("missing required field 'config' for Genesis") + } + g.Config = dec.Config + if dec.Nonce == nil { + return errors.New("missing required field 'nonce' for Genesis") + } + g.Nonce = uint64(*dec.Nonce) + if g.Nonce < 1 { + return errors.New("error field 'nonce' for Genesis, minimal is 1") + } + return nil +} diff --git a/core/types/genesis.go b/core/types/genesis.go new file mode 100644 index 0000000..02f0be5 --- /dev/null +++ b/core/types/genesis.go @@ -0,0 +1,13 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +type Genesis struct { + Config *Config `json:"config" required:"true"` + Nonce uint64 `json:"nonce" required:"true" min:"1"` +} + +type genesisJSON struct { + Config *Config + Nonce UInt64 +} diff --git a/core/types/genesis_test.go b/core/types/genesis_test.go new file mode 100644 index 0000000..ae02b0a --- /dev/null +++ b/core/types/genesis_test.go @@ -0,0 +1,73 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "encoding/json" + "fmt" + "github.com/stretchr/testify/assert" + "io/ioutil" + "math/big" + "os" + "strings" + "testing" +) + +func TestGenesis_MarshalJSON(t *testing.T) { + genesis := Genesis{ + Config: &Config{Id: big.NewInt(2)}, + Nonce: 1000, + } + genesisFile, err := ioutil.TempFile("", "test_genesis_json") + if err != nil { + t.Fatal(err) + } + defer genesisFile.Close() + data, err := genesis.MarshalJSON() + if err != nil { + t.Fatal(err) + } + fmt.Fprintf(os.Stdout, "%s\n", genesisFile.Name()) + fmt.Fprintf(os.Stdout, "%s\n", data) + genesisFile.Write(data) + r, err := os.Open(genesisFile.Name()) + if err != nil { + t.Fatal(err) + } + g := new(Genesis) + if err := json.NewDecoder(r).Decode(g); err != nil { + t.Fatal(err) + } + assert.Equal(t, big.NewInt(2), g.Config.Id) + assert.Equal(t, uint64(1000), g.Nonce) +} + +func TestGenesis_UnmarshalJSON(t *testing.T) { + for _, input := range []string{ + `{"config": {"Id":10}, "nonce":1000} `, + `{"config": {"Id":"0xa"}, "nonce":"0x3e8"} `, + } { + r := strings.NewReader(input) + genesis := new(Genesis) + if err := json.NewDecoder(r).Decode(genesis); err != nil { + t.Fatal(err) + } + g, err := genesis.MarshalJSON() + if err != nil { + t.Fatal(err) + } + fmt.Fprintf(os.Stdout, "%s\n", g) + + assert.Equal(t, uint64(1000), genesis.Nonce) + assert.Equal(t, big.NewInt(10), genesis.Config.Id) + } +} + +func TestNounceShouldLargeThanZero(t *testing.T) { + input := `{"config": {"Id":10}, "nonce":0} ` + r := strings.NewReader(input) + g := new(Genesis) + err := json.NewDecoder(r).Decode(&g) + assert.NotNil(t, err) + assert.EqualError(t, err, "error field 'nonce' for Genesis, minimal is 1") +} diff --git a/core/types/int.go b/core/types/int.go new file mode 100644 index 0000000..baa9006 --- /dev/null +++ b/core/types/int.go @@ -0,0 +1,110 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "github.com/Qitmeer/qng-core/common/util" + "math/big" + //"fmt" + "fmt" + "strings" +) + +type Bytes []byte +type Uint uint +type UInt64 uint64 +type UInt128 big.Int +type UInt256 big.Int + +func parseUInt64(s string) (UInt64, bool) { + var u64 UInt64 + if i, ok := parseBigInt(s, 64); ok { + u64 = UInt64(i.Uint64()) + return u64, true + } + return u64, false +} + +func parseUInt128(s string) (UInt128, bool) { + var u128 UInt128 + if i, ok := parseBigInt(s, 128); ok { + u128 = UInt128(*i) + return u128, true + } + return u128, false +} + +func parseUInt256(s string) (UInt256, bool) { + var u256 UInt256 + if i, ok := parseBigInt(s, 256); ok { + u256 = UInt256(*i) + return u256, true + } + return u256, false +} + +func parseBigInt(s string, size int) (i *big.Int, ok bool) { + if s == "" { + return new(big.Int), true + } + i, ok = nil, false + if util.HasHexPrefix(s) { + i, ok = new(big.Int).SetString(s[2:], 16) + } else { + i, ok = new(big.Int).SetString(s, 10) + } + if ok && i.BitLen() > 256 { + i, ok = nil, false + } + return +} + +func (i *UInt256) MarshalJSON() ([]byte, error) { + if i == nil { + return []byte("0x0"), nil + } + return []byte(fmt.Sprintf(`"%#x"`, (*big.Int)(i))), nil +} + +func (i *UInt64) UnmarshalJSON(input []byte) error { + s := strings.Trim(string(input), "\"") + int64, ok := parseUInt64(s) + if !ok { + return fmt.Errorf("invalid hex or decimal integer %q ", input) + } + *i = int64 + return nil +} + +func (i *UInt128) UnmarshalJSON(input []byte) error { + s := strings.Trim(string(input), "\"") + u128, ok := parseUInt128(s) + if !ok { + return fmt.Errorf("invalid hex or decimal integer %q", input) + } + *i = u128 + return nil +} + +func (i *UInt256) UnmarshalJSON(input []byte) error { + s := strings.Trim(string(input), "\"") + u256, ok := parseUInt256(s) + if !ok { + return fmt.Errorf("invalid hex or decimal integer %q", input) + } + *i = u256 + return nil +} + +func NewUInt128(x int64) *UInt128 { + a := big.NewInt(x) + i := new(UInt128) + *i = UInt128(*a) + return i +} +func NewUInt256(x int64) *UInt256 { + a := big.NewInt(x) + i := new(UInt256) + *i = UInt256(*a) + return i +} diff --git a/core/types/key.go b/core/types/key.go new file mode 100644 index 0000000..915a5a2 --- /dev/null +++ b/core/types/key.go @@ -0,0 +1,26 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "github.com/Qitmeer/qng-core/crypto/ecc" +) + +type Key struct { + Address Address + PrivateKey *ecc.PrivateKey +} + +type keyJSON struct { + Address string `json:"address"` + PrivateKey string `json:"privatekey"` +} + +type keyStore interface { + // Loads and decrypts the key from disk. + GetKey(addr Address, filename string, auth string) (*Key, error) + // Writes and encrypts the key. + StoreKey(filename string, k *Key, auth string) error + // Joins filename with the key directory unless it is already absolute. + JoinPath(filename string) string +} diff --git a/core/types/key_test.go b/core/types/key_test.go new file mode 100644 index 0000000..65f1912 --- /dev/null +++ b/core/types/key_test.go @@ -0,0 +1,9 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import "testing" + +func TestCreateKey(t *testing.T) { + +} diff --git a/core/types/messages.go b/core/types/messages.go new file mode 100644 index 0000000..ca775a0 --- /dev/null +++ b/core/types/messages.go @@ -0,0 +1,39 @@ +package types + +import ( + "fmt" +) + +// MessageEncoding represents the wire message encoding format to be used. +type MessageEncoding uint32 + +const ( + // BaseEncoding encodes all messages in the default format specified + // for the Bitcoin wire protocol. + BaseEncoding MessageEncoding = 1 << iota +) + +// MessageError describes an issue with a message. +// An example of some potential issues are messages from the wrong bitcoin +// network, invalid commands, mismatched checksums, and exceeding max payloads. +// +// This provides a mechanism for the caller to type assert the error to +// differentiate between general io errors such as io.EOF and issues that +// resulted from malformed messages. +type MessageError struct { + Func string // Function name + Description string // Human readable description of the issue +} + +// messageError creates an error for the given function and description. +func messageError(f string, desc string) *MessageError { + return &MessageError{Func: f, Description: desc} +} + +// Error satisfies the error interface and prints human-readable errors. +func (e *MessageError) Error() string { + if e.Func != "" { + return fmt.Sprintf("%v: %v", e.Func, e.Description) + } + return e.Description +} diff --git a/core/types/msgmerkleblock.go b/core/types/msgmerkleblock.go new file mode 100644 index 0000000..d1f876b --- /dev/null +++ b/core/types/msgmerkleblock.go @@ -0,0 +1,41 @@ +package types + +import ( + "fmt" + chainhash "github.com/Qitmeer/qng-core/common/hash" +) + +// maxFlagsPerMerkleBlock is the maximum number of flag bytes that could +// possibly fit into a merkle block. Since each transaction is represented by +// a single bit, this is the max number of transactions per block divided by +// 8 bits per byte. Then an extra one to cover partials. +const maxFlagsPerMerkleBlock = MaxTxPerBlock / 8 + +// MsgMerkleBlock implements the Message interface and represents a bitcoin +// merkleblock message which is used to reset a Bloom filter. +// +// This message was not added until protocol version BIP0037Version. +type MsgMerkleBlock struct { + Header BlockHeader + Transactions uint32 + Hashes []*chainhash.Hash + Flags []byte +} + +// AddTxHash adds a new transaction hash to the message. +func (msg *MsgMerkleBlock) AddTxHash(hash *chainhash.Hash) error { + if len(msg.Hashes)+1 > MaxTxPerBlock { + str := fmt.Sprintf("too many tx hashes for message [max %v]", + MaxTxPerBlock) + return messageError("MsgMerkleBlock.AddTxHash", str) + } + + msg.Hashes = append(msg.Hashes, hash) + return nil +} + +// MaxPayloadLength returns the maximum length the payload can be for the +// receiver. This is part of the Message interface implementation. +func (msg *MsgMerkleBlock) MaxPayloadLength(pver uint32) uint32 { + return MaxBlockPayload +} diff --git a/core/types/netaddress.go b/core/types/netaddress.go new file mode 100644 index 0000000..9977c6e --- /dev/null +++ b/core/types/netaddress.go @@ -0,0 +1,210 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +import ( + "encoding/binary" + "errors" + "github.com/Qitmeer/qng-core/common/network" + "github.com/Qitmeer/qng-core/common/roughtime" + "github.com/Qitmeer/qng-core/core/protocol" + s "github.com/Qitmeer/qng-core/core/serialization" + "io" + "net" + "strconv" + "time" +) + +// ErrInvalidNetAddr describes an error that indicates the caller didn't specify +// a TCP address as required. +var ErrInvalidNetAddr = errors.New("provided net.Addr is not a net.TCPAddr") + +// MaxNetAddressPayload returns the max payload size for the NetAddress +// based on the protocol version. +func MaxNetAddressPayload(pver uint32) uint32 { + // Services 8 bytes + ip 16 bytes + port 2 bytes. + plen := uint32(26) + + // Timestamp 4 bytes. + plen += 4 + + return plen +} + +// NetAddress defines information about a peer on the network including the time +// it was last seen, the services it supports, its IP address, and port. +type NetAddress struct { + // Last time the address was seen. This is, unfortunately, encoded as a + // uint32 on the wire and therefore is limited to 2106. This field is + // not present in the version message (MsgVersion) nor was it + // added until protocol version >= NetAddressTimeVersion. + Timestamp time.Time + + // Bitfield which identifies the services supported by the address. + Services protocol.ServiceFlag + + // IP address of the peer. + IP net.IP + + // Port the peer is using. This is encoded in big endian on the wire + // which differs from most everything else. + Port uint16 +} + +// HasService returns whether the specified service is supported by the address. +func (na *NetAddress) HasService(service protocol.ServiceFlag) bool { + return na.Services&service == service +} + +// AddService adds service as a supported service by the peer generating the +// message. +func (na *NetAddress) AddService(service protocol.ServiceFlag) { + na.Services |= service +} + +// NewNetAddressIPPort returns a new NetAddress using the provided IP, port, and +// supported services with defaults for the remaining fields. +func NewNetAddressIPPort(ip net.IP, port uint16, services protocol.ServiceFlag) *NetAddress { + return NewNetAddressTimestamp(roughtime.Now(), services, ip, port) +} + +// NewNetAddressTimestamp returns a new NetAddress using the provided +// timestamp, IP, port, and supported services. The timestamp is rounded to +// single second precision. +func NewNetAddressTimestamp( + timestamp time.Time, services protocol.ServiceFlag, ip net.IP, port uint16) *NetAddress { + // Limit the timestamp to one second precision since the protocol + // doesn't support better. + na := NetAddress{ + Timestamp: time.Unix(timestamp.Unix(), 0), + Services: services, + IP: ip, + Port: port, + } + return &na +} + +// NewNetAddress returns a new NetAddress using the provided TCP address and +// supported services with defaults for the remaining fields. +// +// Note that addr must be a net.TCPAddr. An ErrInvalidNetAddr is returned +// if it is not. +func NewNetAddress(addr net.Addr, services protocol.ServiceFlag) (*NetAddress, error) { + tcpAddr, ok := addr.(*net.TCPAddr) + if !ok { + return nil, ErrInvalidNetAddr + } + + na := NewNetAddressIPPort(tcpAddr.IP, uint16(tcpAddr.Port), services) + return na, nil +} + +// NewNetAddressFailBack add more attempts to extract the IP address and port from the passed +// net.Addr interface and create a NetAddress structure using that information. +func NewNetAddressFailBack(addr net.Addr, services protocol.ServiceFlag) (*NetAddress, error) { + // addr will be a net.TCPAddr when not using a proxy. + if tcpAddr, ok := addr.(*net.TCPAddr); ok { + ip := tcpAddr.IP + port := uint16(tcpAddr.Port) + na := NewNetAddressIPPort(ip, port, services) + return na, nil + } + + // addr will be a socks.ProxiedAddr when using a proxy. + if proxiedAddr, ok := addr.(*network.ProxiedAddr); ok { + ip := net.ParseIP(proxiedAddr.Host) + if ip == nil { + ip = net.ParseIP("0.0.0.0") + } + port := uint16(proxiedAddr.Port) + na := NewNetAddressIPPort(ip, port, services) + return na, nil + } + + // For the most part, addr should be one of the two above cases, but + // to be safe, fall back to trying to parse the information from the + // address string as a last resort. + host, portStr, err := net.SplitHostPort(addr.String()) + if err != nil { + return nil, err + } + ip := net.ParseIP(host) + port, err := strconv.ParseUint(portStr, 10, 16) + if err != nil { + return nil, err + } + na := NewNetAddressIPPort(ip, uint16(port), services) + return na, nil +} + +// readNetAddress reads an encoded NetAddress from r depending on the protocol +// version and whether or not the timestamp is included per ts. Some messages +// like version do not include the timestamp. +func ReadNetAddress(r io.Reader, pver uint32, na *NetAddress, ts bool) error { + var ip [16]byte + + // TODO fix time ambiguous + // NOTE: The protocol uses a uint32 for the timestamp so it will + // stop working somewhere around 2106. Also timestamp wasn't added until + // protocol version >= NetAddressTimeVersion + if ts { + err := s.ReadElements(r, (*s.Uint32Time)(&na.Timestamp)) + if err != nil { + return err + } + } + + err := s.ReadElements(r, &na.Services, &ip) + if err != nil { + return err + } + + // TODO unify endian + // Sigh. protocol mixes little and big endian. + port, err := s.BinarySerializer.Uint16(r, binary.BigEndian) + if err != nil { + return err + } + + *na = NetAddress{ + Timestamp: na.Timestamp, + Services: na.Services, + IP: net.IP(ip[:]), + Port: port, + } + return nil +} + +// writeNetAddress serializes a NetAddress to w depending on the protocol +// version and whether or not the timestamp is included per ts. Some messages +// like version do not include the timestamp. +func WriteNetAddress(w io.Writer, pver uint32, na *NetAddress, ts bool) error { + // TODO fix time ambiguous + // NOTE: The protocol uses a uint32 for the timestamp so it will + // stop working somewhere around 2106. Also timestamp wasn't added until + // until protocol version >= NetAddressTimeVersion. + if ts { + err := s.WriteElements(w, uint32(na.Timestamp.Unix())) + if err != nil { + return err + } + } + + // Ensure to always write 16 bytes even if the ip is nil. + var ip [16]byte + if na.IP != nil { + copy(ip[:], na.IP.To16()) + } + err := s.WriteElements(w, na.Services, ip) + if err != nil { + return err + } + + // TODO unify endian + // Sigh. protocol mixes little and big endian. + return binary.Write(w, binary.BigEndian, na.Port) +} diff --git a/core/types/pow/blake2bd.go b/core/types/pow/blake2bd.go new file mode 100644 index 0000000..02996df --- /dev/null +++ b/core/types/pow/blake2bd.go @@ -0,0 +1,115 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/binary" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +type Blake2bd struct { + Pow +} + +func (this *Blake2bd) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: nil, + } +} + +func (this *Blake2bd) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + target := CompactToBig(targetDiffBits) + if target.Sign() <= 0 { + str := fmt.Sprintf("block target difficulty of %064x is too "+ + "low", target) + return errors.New(str) + } + + //The target difficulty must be less than the maximum allowed. + if target.Cmp(this.params.Blake2bdPowLimit) > 0 { + str := fmt.Sprintf("block target difficulty of %064x is "+ + "higher than max of %064x", target, this.params.Blake2bdPowLimit) + return errors.New(str) + } + hashNum := HashToBig(&blockHash) + if hashNum.Cmp(target) > 0 { + str := fmt.Sprintf("block hash of %064x is higher than"+ + " expected max of %064x", hashNum, target) + return errors.New(str) + } + return nil +} + +func (this *Blake2bd) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + nextDiffBig := weightedSumDiv.Mul(weightedSumDiv, oldDiffBig) + defer func() { + nextDiffBig = nextDiffBig.Rsh(nextDiffBig, 32) + + }() + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, targetPercent) + nextDiffBig.Div(nextDiffBig, currentPowPercent) + return nextDiffBig +} + +func (this *Blake2bd) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + limitBits := this.params.Blake2bdPowLimitBits + limitBitsBig := CompactToBig(limitBits) + if cur_reduce_diff <= 0 { + return limitBitsBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(this.params.Blake2bdPowLimit) > 0 { + newTarget.Set(this.params.Blake2bdPowLimit) + } + return newTarget +} + +// compare the target +// wether target match the target diff +func (this *Blake2bd) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) <= 0 +} + +// pow proof data +func (this *Blake2bd) Bytes() PowBytes { + r := make(PowBytes, 0) + // write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// pow proof data +func (this *Blake2bd) BlockData() PowBytes { + bytes := this.Bytes() + l := len(bytes) + return PowBytes(bytes[:l-PROOFDATA_LENGTH]) +} + +//solve solution +func (this *Blake2bd) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/pow/config.go b/core/types/pow/config.go new file mode 100644 index 0000000..52e7b0a --- /dev/null +++ b/core/types/pow/config.go @@ -0,0 +1,121 @@ +package pow + +import ( + "errors" + "fmt" + "math/big" + "sort" +) + +var PowConfigInstance *PowConfig + +type MainHeight uint32 +type PercentValue uint32 +type Percent map[MainHeight]PercentItem +type PercentItem map[PowType]PercentValue +type PowConfig struct { + // PowLimit defines the highest allowed proof of work value for a block + // as a uint256. + Blake2bdPowLimit *big.Int + // PowLimitBits defines the highest allowed proof of work value for a + // block in compact form. + // highest value is mean min difficulty + Blake2bdPowLimitBits uint32 + + X16rv3PowLimit *big.Int + X16rv3PowLimitBits uint32 + + X8r16PowLimit *big.Int + X8r16PowLimitBits uint32 + + CryptoNightPowLimit *big.Int + CryptoNightPowLimitBits uint32 + + QitmeerKeccak256PowLimit *big.Int + QitmeerKeccak256PowLimitBits uint32 + + MeerXKeccakV1PowLimit *big.Int + MeerXKeccakV1PowLimitBits uint32 + + // cuckoo difficulty calc params min difficulty + CuckarooMinDifficulty uint32 + CuckaroomMinDifficulty uint32 + CuckatooMinDifficulty uint32 + + Percent map[MainHeight]PercentItem + + AdjustmentStartMainHeight MainHeight + + //is init + init bool +} + +//global cache +func GetPowConfig() *PowConfig { + if PowConfigInstance != nil { + return PowConfigInstance + } + PowConfigInstance = &PowConfig{} + PowConfigInstance.init = false + return PowConfigInstance +} + +// set config +// GetPowConfig().Set(params.PowConfig) +func (this *PowConfig) Set(p *PowConfig) *PowConfig { + if !this.init { + this = p + this.init = true + } + return this +} + +// get Percent By height +func (this *PowConfig) GetPercentByHeightAndType(h MainHeight, powType PowType) PercentValue { + //sort by main height asc + var keys []MainHeight + for k := range this.Percent { + keys = append(keys, k) + } + sort.Slice(keys, func(i, j int) bool { + if keys[i] > keys[j] { + return false + } + return true + }) + currentPercent := map[PowType]PercentValue{} + // get best match percent + for _, k := range keys { + if h >= k { + currentPercent = this.Percent[k] + } + } + val, ok := currentPercent[powType] + if !ok { + return 0 + } + return val +} + +// check percent +func (this *PowConfig) Check() error { + heightArr := map[MainHeight]int{} + for mHeight, p := range this.Percent { + if _, ok := heightArr[mHeight]; ok { + return errors.New("pow config error, mainHeight set repeat!") + } + allPercent := PercentValue(0) + heightArr[mHeight] = 1 + for pty, val := range p { + powName := GetPowName(pty) + if powName == "" { + return errors.New(fmt.Sprintf("Pow Type %d Not Config Name in IPow.go!", pty)) + } + allPercent += val + } + if allPercent != 100 { + return errors.New("pow config error, all pow not equal 100%!actual is " + fmt.Sprintf("%d", allPercent)) + } + } + return nil +} diff --git a/core/types/pow/cryptonight.go b/core/types/pow/cryptonight.go new file mode 100644 index 0000000..cf26609 --- /dev/null +++ b/core/types/pow/cryptonight.go @@ -0,0 +1,114 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +package pow + +import ( + "encoding/binary" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +type CryptoNight struct { + Pow +} + +func (this *CryptoNight) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: nil, + } +} + +func (this *CryptoNight) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + target := CompactToBig(targetDiffBits) + if target.Sign() <= 0 { + str := fmt.Sprintf("block target difficulty of %064x is too "+ + "low", target) + return errors.New(str) + } + + //The target difficulty must be less than the maximum allowed. + if target.Cmp(this.params.CryptoNightPowLimit) > 0 { + str := fmt.Sprintf("block target difficulty of %064x is "+ + "higher than max of %064x", target, this.params.CryptoNightPowLimit) + return errors.New(str) + } + h := hash.HashCryptoNight(headerData) + hashNum := HashToBig(&h) + if hashNum.Cmp(target) > 0 { + str := fmt.Sprintf("block hash of %064x is higher than"+ + " expected max of %064x", hashNum, target) + return errors.New(str) + } + return nil +} + +func (this *CryptoNight) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + nextDiffBig := weightedSumDiv.Mul(weightedSumDiv, oldDiffBig) + defer func() { + nextDiffBig = nextDiffBig.Rsh(nextDiffBig, 32) + + }() + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, targetPercent) + nextDiffBig.Div(nextDiffBig, currentPowPercent) + return nextDiffBig +} + +func (this *CryptoNight) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + limitBits := this.params.CryptoNightPowLimitBits + limitBitsBig := CompactToBig(limitBits) + if cur_reduce_diff <= 0 { + return limitBitsBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(this.params.CryptoNightPowLimit) > 0 { + newTarget.Set(this.params.CryptoNightPowLimit) + } + return newTarget +} + +// compare the target +// wether target match the target diff +func (this *CryptoNight) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) <= 0 +} + +// pow proof data +func (this *CryptoNight) Bytes() PowBytes { + r := make(PowBytes, 0) + // write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// pow proof data +func (this *CryptoNight) BlockData() PowBytes { + l := len(this.Bytes()) + return PowBytes(this.Bytes()[:l-PROOFDATA_LENGTH]) +} + +//not support +func (this *CryptoNight) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/pow/cuckaroo.go b/core/types/pow/cuckaroo.go new file mode 100644 index 0000000..86403df --- /dev/null +++ b/core/types/pow/cuckaroo.go @@ -0,0 +1,125 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/cuckoo" + "github.com/Qitmeer/qng-core/log" + "math/big" +) + +type Cuckaroo struct { + Cuckoo +} + +const MIN_CUCKAROOEDGEBITS = 24 +const MAX_CUCKAROOEDGEBITS = 32 + +func (this *Cuckaroo) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + targetDiff := CompactToBig(targetDiffBits) + baseDiff := CompactToBig(this.params.CuckarooMinDifficulty) + h := this.GetSipHash(headerData) + nonces := this.GetCircleNonces() + edgeBits := this.GetEdgeBits() + if edgeBits < MIN_CUCKAROOEDGEBITS { + return fmt.Errorf("edge bits:%d is too short! less than %d", edgeBits, MIN_CUCKAROOEDGEBITS) + } + if edgeBits > MAX_CUCKAROOEDGEBITS { + return fmt.Errorf("edge bits:%d is too large! more than %d", edgeBits, MAX_CUCKAROOEDGEBITS) + } + err := cuckoo.VerifyCuckaroo(h[:], nonces[:], uint(edgeBits)) + if err != nil { + log.Debug("Verify Error!", err) + return err + } + + //The target difficulty must be more than the min diff. + if targetDiff.Cmp(baseDiff) < 0 { + str := fmt.Sprintf("block target difficulty of %d is "+ + "less than min diff :%d", targetDiff, this.params.CuckarooMinDifficulty) + return errors.New(str) + } + if CalcCuckooDiff(this.GraphWeight(), blockHash).Cmp(targetDiff) < 0 { + return errors.New("difficulty is too easy!") + } + return nil +} + +func (this *Cuckaroo) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + oldDiffBig.Lsh(oldDiffBig, 32) + nextDiffBig := oldDiffBig.Div(oldDiffBig, weightedSumDiv) + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, currentPowPercent) + nextDiffBig.Div(nextDiffBig, targetPercent) + return nextDiffBig +} + +func (this *Cuckaroo) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + minDiffBig := CompactToBig(this.params.CuckarooMinDifficulty) + if cur_reduce_diff <= 0 { + return minDiffBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(minDiffBig) < 0 { + newTarget.Set(minDiffBig) + } + return newTarget +} + +//calc scale +//the edge_bits is bigger ,then scale is bigger +//Reference resources https://eprint.iacr.org/2014/059.pdf 9. Difficulty control page 6 +//while the average number of cycles found increases slowly with size; from 2 at 2^20 to 3 at 2^30 +//Less times of hash calculation with the same difficulty +// 24 => 48 25 => 100 26 => 208 27 => 432 28 => 896 29 => 1856 30 => 3840 31 => 7936 +//assume init difficulty is 1000 +//24 target is 0c49ba5e353f7ced000000000000000000000000000000000000000000000000 +//（The meaning of difficulty needs to be found 1000/48 * 50 ≈ 1000 times in edge_bits 24, and the answer may be obtained once.） +// why * 50 , because the when edge_count/nodes = 1/2,to find 42 cycles the probality is 2.2% +//29 target is db22d0e560418937000000000000000000000000000000000000000000000000 +//（The difficulty needs to be found 1000/1856 * 50 ≈ 26 times in edge_bits 29, and the answer may be obtained once.） +//so In order to ensure the fairness of different edge indexes, the mining difficulty is different. +func (this *Cuckaroo) GraphWeight() uint64 { + //45 days + bigScale := MainHeight(1) + if this.params.AdjustmentStartMainHeight > this.mainHeight && int(this.GetEdgeBits()) != MIN_CUCKAROOEDGEBITS { + bigScale = this.params.AdjustmentStartMainHeight - this.mainHeight + bigScale = bigScale * 40 + } + + scale := (2 << (this.GetEdgeBits() - MIN_CUCKAROOEDGEBITS)) * uint64(this.GetEdgeBits()) / uint64(bigScale) + if scale <= 0 { + scale = 1 + } + return scale +} + +//solve solution +func (this *Cuckaroo) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + this.SetEdgeBits(uint8(cuckoo.Edgebits)) + sipH := this.GetSipHash(headerData) + c := cuckoo.NewCuckoo() + cycleNonces, isFound := c.PoW(sipH[:]) + if !isFound { + return false + } + this.SetCircleEdges(cycleNonces) + //cpuminer need recalc blockhash + // this.bytes() contains (nonce 4 bytes + powtype 1 byte + 169 proofdata) 174 bytes + copy(headerData[len(headerData)-POW_LENGTH:], this.Bytes()) + blockHash = hash.DoubleHashH(headerData) + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/pow/cuckaroom.go b/core/types/pow/cuckaroom.go new file mode 100644 index 0000000..07227b7 --- /dev/null +++ b/core/types/pow/cuckaroom.go @@ -0,0 +1,100 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/cuckoo" + "github.com/Qitmeer/qng-core/log" + "math/big" +) + +type Cuckaroom struct { + Cuckoo +} + +const MIN_CUCKAROOMMEDGEBITS = 29 +const MAX_CUCKAROOMMEDGEBITS = 29 + +func (this *Cuckaroom) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + targetDiff := CompactToBig(targetDiffBits) + baseDiff := CompactToBig(this.params.CuckaroomMinDifficulty) + h := this.GetSipHash(headerData) + nonces := this.GetCircleNonces() + edgeBits := this.GetEdgeBits() + if edgeBits < MIN_CUCKAROOMMEDGEBITS { + return fmt.Errorf("edge bits:%d is too short! less than %d", edgeBits, MIN_CUCKAROOMMEDGEBITS) + } + if edgeBits > MAX_CUCKAROOMMEDGEBITS { + return fmt.Errorf("edge bits:%d is too large! more than %d", edgeBits, MAX_CUCKAROOMMEDGEBITS) + } + sipHashKeys := cuckoo.SipHashKey(h[:]) + err := cuckoo.VerifyCuckaroom(sipHashKeys, nonces[:], uint(edgeBits)) + if err != nil { + log.Debug("Verify Error!", err) + return err + } + + //The target difficulty must be more than the min diff. + if targetDiff.Cmp(baseDiff) < 0 { + str := fmt.Sprintf("block target difficulty of %d is "+ + "less than min diff :%d", targetDiff, this.params.CuckaroomMinDifficulty) + return errors.New(str) + } + if CalcCuckooDiff(this.GraphWeight(), blockHash).Cmp(targetDiff) < 0 { + return errors.New("difficulty is too easy!") + } + return nil +} + +func (this *Cuckaroom) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + oldDiffBig.Lsh(oldDiffBig, 32) + nextDiffBig := oldDiffBig.Div(oldDiffBig, weightedSumDiv) + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, currentPowPercent) + nextDiffBig.Div(nextDiffBig, targetPercent) + return nextDiffBig +} + +func (this *Cuckaroom) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + minDiffBig := CompactToBig(this.params.CuckaroomMinDifficulty) + if cur_reduce_diff <= 0 { + return minDiffBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(minDiffBig) < 0 { + newTarget.Set(minDiffBig) + } + return newTarget +} + +//calc scale +//the edge_bits is bigger ,then scale is bigger +//Reference resources https://eprint.iacr.org/2014/059.pdf 9. Difficulty control page 6 +//while the average number of cycles found increases slowly with size; from 2 at 2^20 to 3 at 2^30 +//Less times of hash calculation with the same difficulty +// 24 => 48 25 => 100 26 => 208 27 => 432 28 => 896 29 => 1856 30 => 3840 31 => 7936 +//assume init difficulty is 1000 +//24 target is 0c49ba5e353f7ced000000000000000000000000000000000000000000000000 +//（The meaning of difficulty needs to be found 1000/48 * 50 ≈ 1000 times in edge_bits 24, and the answer may be obtained once.） +// why * 50 , because the when edge_count/nodes = 1/2,to find 42 cycles the probality is 2.2% +//29 target is db22d0e560418937000000000000000000000000000000000000000000000000 +//（The difficulty needs to be found 1000/1856 * 50 ≈ 26 times in edge_bits 29, and the answer may be obtained once.） +//so In order to ensure the fairness of different edge indexes, the mining difficulty is different. +func (this *Cuckaroom) GraphWeight() uint64 { + return (2 << (this.GetEdgeBits() - MIN_CUCKAROOEDGEBITS)) * uint64(this.GetEdgeBits()) +} + +//not support +func (this *Cuckaroom) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + return false +} diff --git a/core/types/pow/cuckatoo.go b/core/types/pow/cuckatoo.go new file mode 100644 index 0000000..5a69fec --- /dev/null +++ b/core/types/pow/cuckatoo.go @@ -0,0 +1,98 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/cuckoo" + "github.com/Qitmeer/qng-core/log" + "math/big" +) + +type Cuckatoo struct { + Cuckoo +} + +const MIN_CUCKATOOEDGEBITS = 29 +const MAX_CUCKATOOEDGEBITS = 32 + +func (this *Cuckatoo) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + targetDiff := CompactToBig(targetDiffBits) + baseDiff := CompactToBig(this.params.CuckarooMinDifficulty) + h := this.GetSipHash(headerData) + nonces := this.GetCircleNonces() + edgeBits := this.GetEdgeBits() + if edgeBits < MIN_CUCKATOOEDGEBITS { + return fmt.Errorf("edge bits:%d is too short!less than %d", edgeBits, MIN_CUCKATOOEDGEBITS) + } + if edgeBits > MAX_CUCKATOOEDGEBITS { + return fmt.Errorf("edge bits:%d is too large! more than %d", edgeBits, MAX_CUCKATOOEDGEBITS) + } + err := cuckoo.VerifyCuckatoo(h[:], nonces[:], uint(edgeBits)) + if err != nil { + log.Debug("Verify Error!", err) + return err + } + //The target difficulty must be more than the min diff. + if targetDiff.Cmp(baseDiff) < 0 { + str := fmt.Sprintf("block target difficulty of %d is "+ + "less than min diff :%d", targetDiff, this.params.CuckarooMinDifficulty) + return errors.New(str) + } + if CalcCuckooDiff(this.GraphWeight(), blockHash).Cmp(targetDiff) < 0 { + return errors.New("difficulty is too easy!") + } + return nil +} + +func (this *Cuckatoo) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + oldDiffBig.Lsh(oldDiffBig, 32) + nextDiffBig := oldDiffBig.Div(oldDiffBig, weightedSumDiv) + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, currentPowPercent) + nextDiffBig.Div(nextDiffBig, targetPercent) + return nextDiffBig +} + +func (this *Cuckatoo) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + minDiffBig := CompactToBig(this.params.CuckatooMinDifficulty) + if cur_reduce_diff <= 0 { + return minDiffBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(minDiffBig) < 0 { + newTarget.Set(minDiffBig) + } + return newTarget +} + +//calc scale +//the edge_bits is bigger ,then scale is bigger +//Reference resources https://eprint.iacr.org/2014/059.pdf 9. Difficulty control page 6 +//while the average number of cycles found increases slowly with size; from 2 at 2^20 to 3 at 2^30 +//Less times of hash calculation with the same difficulty +// 24 => 48 25 => 100 26 => 208 27 => 432 28 => 896 29 => 1856 30 => 3840 31 => 7936 +//assume init difficulty is 1000 +//24 target is 0c49ba5e353f7ced000000000000000000000000000000000000000000000000 +//（The meaning of difficulty needs to be found 1000/48 * 50 ≈ 1000 times in edge_bits 24, and the answer may be obtained once.） +// why * 50 , because the when edge_count/nodes = 1/2,to find 42 cycles the probality is 2.2% +//29 target is db22d0e560418937000000000000000000000000000000000000000000000000 +//（The difficulty needs to be found 1000/1856 * 50 ≈ 26 times in edge_bits 29, and the answer may be obtained once.） +//so In order to ensure the fairness of different edge indexes, the mining difficulty is different. +func (this *Cuckatoo) GraphWeight() uint64 { + return (2 << (this.GetEdgeBits() - MIN_CUCKAROOEDGEBITS)) * uint64(this.GetEdgeBits()) +} + +//not support +func (this *Cuckatoo) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + return false +} diff --git a/core/types/pow/cuckoo.go b/core/types/pow/cuckoo.go new file mode 100644 index 0000000..dd775d2 --- /dev/null +++ b/core/types/pow/cuckoo.go @@ -0,0 +1,107 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/binary" + "encoding/hex" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "github.com/Qitmeer/qng-core/crypto/cuckoo" + "math/big" +) + +type Cuckoo struct { + Pow +} + +const ( + PROOF_DATA_EDGE_BITS_START = 0 + PROOF_DATA_EDGE_BITS_END = 1 + PROOF_DATA_CIRCLE_NONCE_END = 169 +) + +func (this *Cuckoo) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: &json.ProofData{ + EdgeBits: int(this.ProofData[PROOF_DATA_EDGE_BITS_START:PROOF_DATA_EDGE_BITS_END][0]), + CircleNonces: hex.EncodeToString(this.ProofData[PROOF_DATA_EDGE_BITS_END:PROOF_DATA_CIRCLE_NONCE_END]), + }, + } +} + +// set edge bits +func (this *Cuckoo) SetEdgeBits(edge_bits uint8) { + copy(this.ProofData[PROOF_DATA_EDGE_BITS_START:PROOF_DATA_EDGE_BITS_END], []byte{edge_bits}) +} + +// get edge bits +func (this *Cuckoo) GetEdgeBits() uint8 { + return uint8(this.ProofData[PROOF_DATA_EDGE_BITS_START:PROOF_DATA_EDGE_BITS_END][0]) +} + +// set edge circles +func (this *Cuckoo) SetCircleEdges(edges []uint32) { + for i := 0; i < len(edges); i++ { + b := make([]byte, 4) + binary.LittleEndian.PutUint32(b, edges[i]) + copy(this.ProofData[(i*4)+PROOF_DATA_EDGE_BITS_END:(i*4)+PROOF_DATA_EDGE_BITS_END+4], b) + } +} + +func (this *Cuckoo) GetCircleNonces() (nonces [cuckoo.ProofSize]uint32) { + arr := ConvertBytesToUint32Array(this.ProofData[PROOF_DATA_EDGE_BITS_END:PROOF_DATA_CIRCLE_NONCE_END]) + copy(nonces[:cuckoo.ProofSize], arr[:cuckoo.ProofSize]) + return +} + +func ConvertBytesToUint32Array(data []byte) []uint32 { + nonces := make([]uint32, 0) + j := 0 + l := len(data) + for i := 0; i < l; i += 4 { + nonceBytes := data[i : i+4] + nonces = append(nonces, binary.LittleEndian.Uint32(nonceBytes)) + j++ + } + return nonces +} + +//get sip hash +//first header data 113 bytes hash +func (this *Cuckoo) GetSipHash(headerData []byte) hash.Hash { + return hash.HashH(headerData[:len(headerData)-PROOF_DATA_CIRCLE_NONCE_END]) +} + +//cuckoo pow proof data +func (this *Cuckoo) Bytes() PowBytes { + r := make(PowBytes, 0) + // write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// compare the target +// wether target match the target diff +func (this *Cuckoo) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) >= 0 +} + +// pow proof data +func (this *Cuckoo) BlockData() PowBytes { + return this.Bytes() +} + +func (this *Cuckoo) GraphWeight() uint64 { return 0 } diff --git a/core/types/pow/diff.go b/core/types/pow/diff.go new file mode 100644 index 0000000..fb14000 --- /dev/null +++ b/core/types/pow/diff.go @@ -0,0 +1,222 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "math/big" +) + +var ( + // bigOne is 1 represented as a big.Int. It is defined here to avoid + // the overhead of creating it multiple times. + bigOne = big.NewInt(1) + + // oneLsh256 is 1 shifted left 256 bits. It is defined here to avoid + // the overhead of creating it multiple times. + OneLsh256 = new(big.Int).Lsh(bigOne, 256) +) + +// HashToBig converts a hash.Hash into a big.Int that can be used to +// perform math comparisons. +func HashToBig(hash *hash.Hash) *big.Int { + // A Hash is in little-endian, but the big package wants the bytes in + // big-endian, so reverse them. + buf := *hash + blen := len(buf) + for i := 0; i < blen/2; i++ { + buf[i], buf[blen-1-i] = buf[blen-1-i], buf[i] + } + + return new(big.Int).SetBytes(buf[:]) +} + +// CompactToBig converts a compact representation of a whole number N to an +// unsigned 32-bit number. The representation is similar to IEEE754 floating +// point numbers. +// +// Like IEEE754 floating point, there are three basic components: the sign, +// the exponent, and the mantissa. They are broken out as follows: +// +// * the most significant 8 bits represent the unsigned base 256 exponent +// * bit 23 (the 24th bit) represents the sign bit +// * the least significant 23 bits represent the mantissa +// +// ------------------------------------------------- +// | Exponent | Sign | Mantissa | +// ------------------------------------------------- +// | 8 bits [31-24] | 1 bit [23] | 23 bits [22-00] | +// ------------------------------------------------- +// +// The formula to calculate N is: +// N = (-1^sign) * mantissa * 256^(exponent-3) +// +// This compact form is only used to encode unsigned 256-bit numbers which +// represent difficulty targets, thus there really is not a need for a sign +// bit, but it is implemented here to stay consistent with bitcoind. +// TODO, revisit the compact difficulty form design +func CompactToBig(compact uint32) *big.Int { + // Extract the mantissa, sign bit, and exponent. + mantissa := compact & 0x007fffff + isNegative := compact&0x00800000 != 0 + exponent := uint(compact >> 24) + + // Since the base for the exponent is 256, the exponent can be treated + // as the number of bytes to represent the full 256-bit number. So, + // treat the exponent as the number of bytes and shift the mantissa + // right or left accordingly. This is equivalent to: + // N = mantissa * 256^(exponent-3) + var bn *big.Int + if exponent <= 3 { + mantissa >>= 8 * (3 - exponent) + bn = big.NewInt(int64(mantissa)) + } else { + bn = big.NewInt(int64(mantissa)) + bn.Lsh(bn, 8*(exponent-3)) + } + + // Make it negative if the sign bit is set. + if isNegative { + bn = bn.Neg(bn) + } + + return bn +} + +// BigToCompact converts a whole number N to a compact representation using +// an unsigned 32-bit number. The compact representation only provides 23 bits +// of precision, so values larger than (2^23 - 1) only encode the most +// significant digits of the number. See CompactToBig for details. +func BigToCompact(n *big.Int) uint32 { + // No need to do any work if it's zero. + if n.Sign() == 0 { + return 0 + } + + // Since the base for the exponent is 256, the exponent can be treated + // as the number of bytes. So, shift the number right or left + // accordingly. This is equivalent to: + // mantissa = mantissa / 256^(exponent-3) + var mantissa uint32 + exponent := uint(len(n.Bytes())) + if exponent <= 3 { + mantissa = uint32(n.Bits()[0]) + mantissa <<= 8 * (3 - exponent) + } else { + // Use a copy to avoid modifying the caller's original number. + tn := new(big.Int).Set(n) + mantissa = uint32(tn.Rsh(tn, 8*(exponent-3)).Bits()[0]) + } + + // When the mantissa already has the sign bit set, the number is too + // large to fit into the available 23-bits, so divide the number by 256 + // and increment the exponent accordingly. + if mantissa&0x00800000 != 0 { + mantissa >>= 8 + exponent++ + } + + // Pack the exponent, sign bit, and mantissa into an unsigned 32-bit + // int and return it. + compact := uint32(exponent<<24) | mantissa + if n.Sign() < 0 { + compact |= 0x00800000 + } + return compact +} + +// CalcWork calculates a work value from difficulty bits. it increases the difficulty +// for generating a block by decreasing the value which the generated hash must be +// less than. +// +// This difficulty target is stored in each block header using a compact +// representation as described in the documentation for CompactToBig. +// +// The main chain is selected by choosing the chain that has the most proof of +// work (highest difficulty). +// +// Since a lower target difficulty value equates to higher actual difficulty, the +// work value which will be accumulated must be the inverse of the difficulty. +// Also, in order to avoid potential division by zero and really small floating +// point numbers, the result adds 1 to the denominator and multiplies the numerator +// by 2^256. +func CalcWork(bits uint32, powType PowType) *big.Int { + // Return a work value of zero if the passed difficulty bits represent + // a negative number. Note this should not happen in practice with valid + // blocks, but an invalid block could trigger it. + difficultyNum := CompactToBig(bits) + if difficultyNum.Sign() <= 0 { + return big.NewInt(0) + } + + if powType != BLAKE2BD { + //cuckoo work sum + allDiff := big.NewInt(1) + allDiff = allDiff.Lsh(allDiff, 64) + allDiff = allDiff.Mul(allDiff, big.NewInt(int64(1865))) + return allDiff.Div(allDiff, difficultyNum) + } + + // (1 << 256) / (difficultyNum + 1) + denominator := new(big.Int).Add(difficultyNum, bigOne) + return new(big.Int).Div(OneLsh256, denominator) +} + +// mergeDifficulty takes an original stake difficulty and two new, scaled +// stake difficulties, merges the new difficulties, and outputs a new +// merged stake difficulty. +func mergeDifficulty(oldDiff int64, newDiff1 int64, newDiff2 int64) int64 { + newDiff1Big := big.NewInt(newDiff1) + newDiff2Big := big.NewInt(newDiff2) + newDiff2Big.Lsh(newDiff2Big, 32) + + oldDiffBig := big.NewInt(oldDiff) + oldDiffBigLSH := big.NewInt(oldDiff) + oldDiffBigLSH.Lsh(oldDiffBig, 32) + + newDiff1Big.Div(oldDiffBigLSH, newDiff1Big) + newDiff2Big.Div(newDiff2Big, oldDiffBig) + + // Combine the two changes in difficulty. + summedChange := big.NewInt(0) + summedChange.Set(newDiff2Big) + summedChange.Lsh(summedChange, 32) + summedChange.Div(summedChange, newDiff1Big) + summedChange.Mul(summedChange, oldDiffBig) + summedChange.Rsh(summedChange, 32) + + return summedChange.Int64() +} + +//calc cuckoo diff +func CalcCuckooDiff(scale uint64, blockHash hash.Hash) *big.Int { + c := HashToBig(&blockHash) + max := big.NewInt(1).Lsh(bigOne, 256) + if c.Cmp(big.NewInt(0)) <= 0 { + return max + } + a := &big.Int{} + a.SetUint64(scale) + if a.Cmp(c) >= 0 { + return max + } + a.Mul(a, max) + e := a.Div(a, c) + return e +} + +//calc cuckoo diff convert to target hash like 7fff000000000000000000000000000000000000000000000000000000000000 +func CuckooDiffToTarget(scale uint64, diff *big.Int) string { + a := &big.Int{} + a.SetUint64(scale) + max := big.NewInt(1).Lsh(bigOne, 256) + if a.Cmp(diff) >= 0 { + return fmt.Sprintf("%x", max.Sub(max, bigOne)) + } + a.Mul(a, max) + a.Div(a, diff) + b := a.Bytes() + return fmt.Sprintf("%064x", b) +} diff --git a/core/types/pow/diff_test.go b/core/types/pow/diff_test.go new file mode 100644 index 0000000..71749c0 --- /dev/null +++ b/core/types/pow/diff_test.go @@ -0,0 +1,284 @@ +package pow + +import ( + "encoding/hex" + "fmt" + "github.com/Qitmeer/qng-core/common" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/common/util" + "github.com/stretchr/testify/assert" + "math/big" + "testing" +) + +func TestCalcScale(t *testing.T) { + powInstance := GetInstance(CUCKAROO, 0, []byte{}) + powInstance.SetMainHeight(10) + conf := &PowConfig{} + conf.AdjustmentStartMainHeight = 10 + powInstance.SetParams(conf) + powInstance.(*Cuckaroo).SetEdgeBits(24) + // 259200 is 15s per block 45 days main height + assert.Equal(t, uint64(48), powInstance.(*Cuckaroo).GraphWeight()) + powInstance.(*Cuckaroo).SetEdgeBits(25) + assert.Equal(t, uint64(100), powInstance.(*Cuckaroo).GraphWeight()) + powInstance.(*Cuckaroo).SetEdgeBits(26) + assert.Equal(t, uint64(208), powInstance.(*Cuckaroo).GraphWeight()) + powInstance.(*Cuckaroo).SetEdgeBits(29) + assert.Equal(t, uint64(1856), powInstance.(*Cuckaroo).GraphWeight()) + powInstance.(*Cuckaroo).SetEdgeBits(31) + assert.Equal(t, uint64(7936), powInstance.(*Cuckaroo).GraphWeight()) +} + +func TestScaleToTarget(t *testing.T) { + powInstance := GetInstance(CUCKAROO, 0, []byte{}) + powInstance.SetMainHeight(10) + conf := &PowConfig{} + conf.AdjustmentStartMainHeight = 10 + powInstance.SetParams(conf) + diff := uint64(1000) + diffBig := &big.Int{} + diffBig.SetUint64(diff) + powInstance.(*Cuckaroo).SetEdgeBits(24) + assert.Equal(t, "0c49ba5e353f7ced916872b020c49ba5e353f7ced916872b020c49ba5e353f7c", CuckooDiffToTarget(powInstance.(*Cuckaroo).GraphWeight(), diffBig)) + powInstance.(*Cuckaroo).SetEdgeBits(29) + assert.Equal(t, "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", CuckooDiffToTarget(powInstance.(*Cuckaroo).GraphWeight(), diffBig)) + powInstance.(*Cuckaroo).SetEdgeBits(30) + assert.Equal(t, "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", CuckooDiffToTarget(powInstance.(*Cuckaroo).GraphWeight(), big.NewInt(48))) + powInstance.(*Cuckaroo).SetEdgeBits(24) + assert.Equal(t, "000017b5dbd6151319c5e8a604ddc87e903df63f7e7512ea5a30f9dab794f2be", CuckooDiffToTarget(powInstance.(*Cuckaroo).GraphWeight(), big.NewInt(33964288))) +} + +func TestDiffCompare(t *testing.T) { + str := "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + b, _ := hex.DecodeString(str) + h := hash.Hash{} + util.ReverseBytes(b) + copy(h[:], b) + fmt.Println(h) + fmt.Println(CalcCuckooDiff(1856, h)) + str = "000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff" + b, _ = hex.DecodeString(str) + util.ReverseBytes(b) + copy(h[:], b) + fmt.Println(h) + fmt.Println(CalcCuckooDiff(1856, h)) + str = "0000000000000000000000ffffffffffffffffffffffffffffffffffffffffff" + b, _ = hex.DecodeString(str) + util.ReverseBytes(b) + copy(h[:], b) + fmt.Println(h) + fmt.Println(CalcCuckooDiff(1856, h)) + str = "0000000000000000000000000000000000000000000000000000000000000000" + b, _ = hex.DecodeString(str) + util.ReverseBytes(b) + copy(h[:], b) + fmt.Println(h) + fmt.Println(CalcCuckooDiff(1856, h)) +} + +// scale * 2^ 64 / diff is target +//edge bits 24 scale is 48 +func TestBigToCompact(t *testing.T) { + diff := 48 + diffBig := &big.Int{} + diffBig.SetUint64(uint64(diff)) + assert.Equal(t, uint32(0x1300000), BigToCompact(diffBig)) +} + +// scale * 2^ 64 / diff is target +//edge bits 24 scale is 48 +func TestCalcBlake2bdNextDiff(t *testing.T) { + p := &PowConfig{ + Blake2bdPowLimit: new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 232), common.Big1), + Blake2bdPowLimitBits: 0x1e00ffff, + Percent: map[MainHeight]PercentItem{ + MainHeight(0): { + BLAKE2BD: 34, + CUCKAROO: 33, + CUCKATOO: 33, + }, + }, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 2 ≈ 1min find once + CuckarooMinDifficulty: 0x1300000 * 2, + CuckatooMinDifficulty: 0x1300000 * 2, + } + blakeObj := GetInstance(BLAKE2BD, 0, []byte{}) + oldDiff := int64(10000) + oldDiffBig := big.NewInt(oldDiff) + fmt.Printf("0x%064x", oldDiffBig) + blakeObj.SetMainHeight(1) + blakeObj.SetParams(p) + // actual time 2s target time 5s + // current pow count 4 all count 100 + weightBig := big.NewInt(2) + weightBig.Lsh(weightBig, 32) + weightBig.Div(weightBig, big.NewInt(5)) + currentPowPercent := big.NewInt(4) + currentPowPercent.Lsh(currentPowPercent, 32) + currentPowPercent.Div(currentPowPercent, big.NewInt(100)) + nextDiffBig := blakeObj.GetNextDiffBig(weightBig, oldDiffBig, currentPowPercent) + fmt.Printf("\n0x%064x", nextDiffBig) + fmt.Println("\n", 10000*2*34/5/4) + //10000 * ( 2 / 5 ) / (4 / 34) + assert.Equal(t, uint64(10000*2*34/5/4), nextDiffBig.Uint64()) +} + +// scale * 2^ 64 / diff is target +//edge bits 24 scale is 48 +func TestCalcCuckarooNextDiff(t *testing.T) { + p := &PowConfig{ + Blake2bdPowLimit: new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 232), common.Big1), + Blake2bdPowLimitBits: 0x1e00ffff, + Percent: map[MainHeight]PercentItem{ + MainHeight(0): { + BLAKE2BD: 34, + CUCKAROO: 33, + CUCKATOO: 33, + }, + }, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 2 ≈ 1min find once + CuckarooMinDifficulty: 0x1300000 * 2, + CuckatooMinDifficulty: 0x1300000 * 2, + } + + oldDiff := int64(10000) + oldDiffBig := big.NewInt(oldDiff) + // actual time 2s target time 5s + // current pow count 4 all count 100 + weightBig := big.NewInt(2) + weightBig.Lsh(weightBig, 32) + weightBig.Div(weightBig, big.NewInt(5)) + //cuckaroo diff ajustment + cuckarooObj := GetInstance(CUCKAROO, 0, []byte{}) + cuckarooObj.SetMainHeight(1) + cuckarooObj.SetParams(p) + // actual time 2s target time 5s + // current pow count 4 all count 100 + currentPowPercent := big.NewInt(4) + currentPowPercent.Lsh(currentPowPercent, 32) + currentPowPercent.Div(currentPowPercent, big.NewInt(100)) + nextDiffBig := cuckarooObj.GetNextDiffBig(weightBig, oldDiffBig, currentPowPercent) + //10000 / ( 2 / 5 ) * (4 / 33) + assert.Equal(t, uint64(10000*5*4/2/33), nextDiffBig.Uint64()) +} + +// scale * 2^ 64 / diff is target +//edge bits 24 scale is 48 +func TestCalcCuckatooNextDiff(t *testing.T) { + p := &PowConfig{ + Blake2bdPowLimit: new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 232), common.Big1), + Blake2bdPowLimitBits: 0x1e00ffff, + Percent: map[MainHeight]PercentItem{ + MainHeight(0): { + BLAKE2BD: 34, + CUCKAROO: 33, + CUCKATOO: 33, + }, + }, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 2 ≈ 1min find once + CuckarooMinDifficulty: 0x1300000 * 2, + CuckatooMinDifficulty: 0x1300000 * 2, + } + oldDiff := int64(10000) + oldDiffBig := big.NewInt(oldDiff) + // actual time 2s target time 5s + // current pow count 4 all count 100 + weightBig := big.NewInt(2) + weightBig.Lsh(weightBig, 32) + weightBig.Div(weightBig, big.NewInt(5)) + //cuckaroo diff ajustment + cuckatooObj := GetInstance(CUCKATOO, 0, []byte{}) + cuckatooObj.SetMainHeight(1) + cuckatooObj.SetParams(p) + // actual time 2s target time 5s + // current pow count 4 all count 100 + currentPowPercent := big.NewInt(4) + currentPowPercent.Lsh(currentPowPercent, 32) + currentPowPercent.Div(currentPowPercent, big.NewInt(100)) + nextDiffBig := cuckatooObj.GetNextDiffBig(weightBig, oldDiffBig, currentPowPercent) + //10000 / ( 2 / 5 ) * (4 / 33) + assert.Equal(t, uint64(10000*5*4/2/33), nextDiffBig.Uint64()) +} + +// scale * 2^ 64 / diff is target +//edge bits 24 scale is 48 +func TestCalcCuckaroomNextDiff(t *testing.T) { + p := &PowConfig{ + QitmeerKeccak256PowLimit: new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 232), common.Big1), + QitmeerKeccak256PowLimitBits: 0x1e00ffff, + Percent: map[MainHeight]PercentItem{ + MainHeight(0): { + QITMEERKECCAK256: 30, + CUCKAROOM: 70, + }, + }, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 2 ≈ 1min find once + CuckaroomMinDifficulty: 0x1300000 * 2, + } + + oldDiff := int64(10000) + oldDiffBig := big.NewInt(oldDiff) + // actual time 42s target time 30s + // current pow count 100 all count 100 + weightBig := big.NewInt(42) + weightBig.Lsh(weightBig, 32) + weightBig.Div(weightBig, big.NewInt(30)) + //cuckaroo diff ajustment + cuckarooObj := GetInstance(CUCKAROOM, 0, []byte{}) + cuckarooObj.SetMainHeight(1) + cuckarooObj.SetParams(p) + // current pow count 100 all count 100 + currentPowPercent := big.NewInt(100) + currentPowPercent.Lsh(currentPowPercent, 32) + currentPowPercent.Div(currentPowPercent, big.NewInt(100)) + nextDiffBig := cuckarooObj.GetNextDiffBig(weightBig, oldDiffBig, currentPowPercent) + fmt.Println(nextDiffBig.Uint64()) + //10000 * ( 30 / 42 ) * (100 / 70) + assert.Equal(t, uint64(10202), nextDiffBig.Uint64()) +} + +// scale * 2^ 64 / diff is target +//edge bits 24 scale is 48 +func TestCalcQitmeerKeccak256NextDiff(t *testing.T) { + p := &PowConfig{ + QitmeerKeccak256PowLimit: new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 232), common.Big1), + QitmeerKeccak256PowLimitBits: 0x1e00ffff, + Percent: map[MainHeight]PercentItem{ + MainHeight(0): { + QITMEERKECCAK256: 30, + CUCKAROOM: 70, + }, + }, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 2 ≈ 1min find once + CuckarooMinDifficulty: 0x1300000 * 2, + CuckatooMinDifficulty: 0x1300000 * 2, + } + keccakObj := GetInstance(QITMEERKECCAK256, 0, []byte{}) + oldDiff := int64(10000) + oldDiffBig := big.NewInt(oldDiff) + keccakObj.SetMainHeight(1) + keccakObj.SetParams(p) + // actual time 27s target time 30s + // current pow count 50 all count 100 + weightBig := big.NewInt(27) + weightBig.Lsh(weightBig, 32) + weightBig.Div(weightBig, big.NewInt(30)) + currentPowPercent := big.NewInt(50) + currentPowPercent.Lsh(currentPowPercent, 32) + currentPowPercent.Div(currentPowPercent, big.NewInt(100)) + nextDiffBig := keccakObj.GetNextDiffBig(weightBig, oldDiffBig, currentPowPercent) + fmt.Println("\ndiff after adjust:", nextDiffBig.Uint64()) + //10000 * ( 27 / 30 ) * (30 / 50) + assert.Equal(t, uint64(5399), nextDiffBig.Uint64()) +} diff --git a/core/types/pow/ipow.go b/core/types/pow/ipow.go new file mode 100644 index 0000000..bbfb9c8 --- /dev/null +++ b/core/types/pow/ipow.go @@ -0,0 +1,179 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/hex" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +// the pow length is 178 +const POW_LENGTH = 178 + +// proof data length is 169 +const PROOFDATA_LENGTH = 169 + +type PowType byte +type PowBytes []byte + +const ( + //pow type enum + BLAKE2BD PowType = 0 + CUCKAROO PowType = 1 + CUCKATOO PowType = 2 + CUCKAROOM PowType = 3 + X16RV3 PowType = 4 + X8R16 PowType = 5 + QITMEERKECCAK256 PowType = 6 + CRYPTONIGHT PowType = 7 + MEERXKECCAKV1 PowType = 8 +) + +var PowMapString = map[PowType]interface{}{ + BLAKE2BD: "blake2bd", + CUCKAROO: "cuckaroo", + CUCKATOO: "cuckatoo", + CUCKAROOM: "cuckaroom", + X16RV3: "x16rv3", + X8R16: "x8r16", + QITMEERKECCAK256: "qitmeer_keccak256", + CRYPTONIGHT: "cryptonight", + MEERXKECCAKV1: "meer_xkeccak_v1", +} + +func GetPowName(powType PowType) string { + val, ok := PowMapString[powType] + if !ok { + return "" + } + return val.(string) +} + +type ProofDataType [PROOFDATA_LENGTH]byte + +func (this *ProofDataType) String() string { + return hex.EncodeToString(this[:]) +} + +func (this *ProofDataType) Bytes() []byte { + return this[:] +} + +type IPow interface { + // verify result difficulty + Verify(headerData []byte, blockHash hash.Hash, targetDiff uint32) error + //set header nonce + SetNonce(nonce uint64) + //calc next diff + GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int + GetNonce() uint64 + GetPowType() PowType + //set pow type + SetPowType(powType PowType) + GetProofData() string + //set proof data + SetProofData([]byte) + Bytes() PowBytes + BlockData() PowBytes + //if cur_reduce_diff > 0 compare cur_reduce_diff with powLimitBits or minDiff ，the cur_reduce_diff should less than powLimitBits , and should more than min diff + //if cur_reduce_diff <=0 return powLimit or min diff + GetSafeDiff(cur_reduce_diff uint64) *big.Int + // pow percent + PowPercent() *big.Int + //pow result + GetPowResult() json.PowResult + //SetParams + SetParams(params *PowConfig) + //SetHeight + SetMainHeight(height MainHeight) + CheckAvailable() bool + CompareDiff(newtarget *big.Int, target *big.Int) bool + FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool +} + +type Pow struct { + PowType PowType //header pow type 1 bytes + Nonce uint64 //header nonce 4 bytes + ProofData ProofDataType // 1 edge_bits 168 bytes circle length total 169 bytes + params *PowConfig + mainHeight MainHeight +} + +//get pow instance +func GetInstance(powType PowType, nonce uint64, proofData []byte) IPow { + var instance IPow + switch powType { + case BLAKE2BD: + instance = &Blake2bd{} + case X16RV3: + instance = &X16rv3{} + case X8R16: + instance = &X8r16{} + case QITMEERKECCAK256: + instance = &QitmeerKeccak256{} + case CUCKAROO: + instance = &Cuckaroo{} + case CUCKAROOM: + instance = &Cuckaroom{} + case CUCKATOO: + instance = &Cuckatoo{} + case CRYPTONIGHT: + instance = &CryptoNight{} + case MEERXKECCAKV1: + instance = &MeerXKeccakV1{} + default: + instance = &Blake2bd{} + } + instance.SetPowType(powType) + instance.SetNonce(nonce) + instance.SetProofData(proofData) + return instance +} + +func (this *Pow) SetPowType(powType PowType) { + this.PowType = powType +} + +func (this *Pow) SetParams(params *PowConfig) { + this.params = GetPowConfig().Set(params) +} + +func (this *Pow) SetMainHeight(mainHeight MainHeight) { + this.mainHeight = mainHeight +} + +func (this *Pow) GetPowType() PowType { + return this.PowType +} + +func (this *Pow) GetNonce() uint64 { + return this.Nonce +} + +func (this *Pow) SetNonce(nonce uint64) { + this.Nonce = nonce +} + +func (this *Pow) GetProofData() string { + return this.ProofData.String() +} + +//set proof data except pow type +func (this *Pow) SetProofData(data []byte) { + l := len(data) + copy(this.ProofData[0:l], data[:]) +} + +func (this *Pow) PowPercent() *big.Int { + targetPercent := big.NewInt(int64(this.params.GetPercentByHeightAndType(this.mainHeight, this.GetPowType()))) + targetPercent.Lsh(targetPercent, 32) + return targetPercent +} + +//check pow is available +func (this *Pow) CheckAvailable() bool { + return this.params.GetPercentByHeightAndType(this.mainHeight, this.PowType) > 0 +} diff --git a/core/types/pow/meer_xkeccak.go b/core/types/pow/meer_xkeccak.go new file mode 100644 index 0000000..c3aa853 --- /dev/null +++ b/core/types/pow/meer_xkeccak.go @@ -0,0 +1,114 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/binary" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +type MeerXKeccakV1 struct { + Pow +} + +func (this *MeerXKeccakV1) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: nil, + } +} + +func (this *MeerXKeccakV1) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + target := CompactToBig(targetDiffBits) + if target.Sign() <= 0 { + str := fmt.Sprintf("block target difficulty of %064x is too "+ + "low", target) + return errors.New(str) + } + //The target difficulty must be less than the maximum allowed. + if target.Cmp(this.params.MeerXKeccakV1PowLimit) > 0 { + str := fmt.Sprintf("block target difficulty of %064x is "+ + "higher than max of %064x", target, this.params.MeerXKeccakV1PowLimit) + return errors.New(str) + } + h := hash.HashMeerXKeccakV1(headerData) + hashNum := HashToBig(&h) + if hashNum.Cmp(target) > 0 { + str := fmt.Sprintf("block hash of %064x is higher than"+ + " expected max of %064x", hashNum, target) + return errors.New(str) + } + return nil +} + +func (this *MeerXKeccakV1) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + nextDiffBig := weightedSumDiv.Mul(weightedSumDiv, oldDiffBig) + defer func() { + nextDiffBig = nextDiffBig.Rsh(nextDiffBig, 32) + + }() + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, targetPercent) + nextDiffBig.Div(nextDiffBig, currentPowPercent) + return nextDiffBig +} + +func (this *MeerXKeccakV1) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + limitBits := this.params.MeerXKeccakV1PowLimitBits + limitBitsBig := CompactToBig(limitBits) + if cur_reduce_diff <= 0 { + return limitBitsBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(this.params.MeerXKeccakV1PowLimit) > 0 { + newTarget.Set(this.params.MeerXKeccakV1PowLimit) + } + return newTarget +} + +// compare the target +// wether target match the target diff +func (this *MeerXKeccakV1) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) <= 0 +} + +// pow proof data +func (this *MeerXKeccakV1) Bytes() PowBytes { + r := make(PowBytes, 0) + //write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// pow proof data +func (this *MeerXKeccakV1) BlockData() PowBytes { + l := len(this.Bytes()) + return PowBytes(this.Bytes()[:l-PROOFDATA_LENGTH]) +} + +//not support +func (this *MeerXKeccakV1) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/pow/qitmeer_keccak256.go b/core/types/pow/qitmeer_keccak256.go new file mode 100644 index 0000000..5f9f027 --- /dev/null +++ b/core/types/pow/qitmeer_keccak256.go @@ -0,0 +1,114 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/binary" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +type QitmeerKeccak256 struct { + Pow +} + +func (this *QitmeerKeccak256) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: nil, + } +} + +func (this *QitmeerKeccak256) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + target := CompactToBig(targetDiffBits) + if target.Sign() <= 0 { + str := fmt.Sprintf("block target difficulty of %064x is too "+ + "low", target) + return errors.New(str) + } + //The target difficulty must be less than the maximum allowed. + if target.Cmp(this.params.QitmeerKeccak256PowLimit) > 0 { + str := fmt.Sprintf("block target difficulty of %064x is "+ + "higher than max of %064x", target, this.params.QitmeerKeccak256PowLimit) + return errors.New(str) + } + h := hash.HashQitmeerKeccak256(headerData) + hashNum := HashToBig(&h) + if hashNum.Cmp(target) > 0 { + str := fmt.Sprintf("block hash of %064x is higher than"+ + " expected max of %064x", hashNum, target) + return errors.New(str) + } + return nil +} + +func (this *QitmeerKeccak256) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + nextDiffBig := weightedSumDiv.Mul(weightedSumDiv, oldDiffBig) + defer func() { + nextDiffBig = nextDiffBig.Rsh(nextDiffBig, 32) + + }() + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, targetPercent) + nextDiffBig.Div(nextDiffBig, currentPowPercent) + return nextDiffBig +} + +func (this *QitmeerKeccak256) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + limitBits := this.params.QitmeerKeccak256PowLimitBits + limitBitsBig := CompactToBig(limitBits) + if cur_reduce_diff <= 0 { + return limitBitsBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(this.params.QitmeerKeccak256PowLimit) > 0 { + newTarget.Set(this.params.QitmeerKeccak256PowLimit) + } + return newTarget +} + +// compare the target +// wether target match the target diff +func (this *QitmeerKeccak256) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) <= 0 +} + +// pow proof data +func (this *QitmeerKeccak256) Bytes() PowBytes { + r := make(PowBytes, 0) + // write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// pow proof data +func (this *QitmeerKeccak256) BlockData() PowBytes { + l := len(this.Bytes()) + return PowBytes(this.Bytes()[:l-PROOFDATA_LENGTH]) +} + +//not support +func (this *QitmeerKeccak256) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/pow/x16rv3.go b/core/types/pow/x16rv3.go new file mode 100644 index 0000000..1f95b6e --- /dev/null +++ b/core/types/pow/x16rv3.go @@ -0,0 +1,116 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/binary" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +type X16rv3 struct { + Pow +} + +func (this *X16rv3) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: nil, + } +} + +func (this *X16rv3) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + target := CompactToBig(targetDiffBits) + if target.Sign() <= 0 { + str := fmt.Sprintf("block target difficulty of %064x is too "+ + "low", target) + return errors.New(str) + } + + //The target difficulty must be less than the maximum allowed. + if target.Cmp(this.params.X16rv3PowLimit) > 0 { + str := fmt.Sprintf("block target difficulty of %064x is "+ + "higher than max of %064x", target, this.params.X16rv3PowLimit) + return errors.New(str) + } + h := hash.HashX16rv3(headerData) + hashNum := HashToBig(&h) + if hashNum.Cmp(target) > 0 { + str := fmt.Sprintf("block hash of %064x is higher than"+ + " expected max of %064x", hashNum, target) + return errors.New(str) + } + return nil +} + +func (this *X16rv3) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + nextDiffBig := weightedSumDiv.Mul(weightedSumDiv, oldDiffBig) + defer func() { + nextDiffBig = nextDiffBig.Rsh(nextDiffBig, 32) + + }() + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, targetPercent) + nextDiffBig.Div(nextDiffBig, currentPowPercent) + return nextDiffBig +} + +func (this *X16rv3) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + limitBits := this.params.X16rv3PowLimitBits + limitBitsBig := CompactToBig(limitBits) + if cur_reduce_diff <= 0 { + return limitBitsBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(this.params.X16rv3PowLimit) > 0 { + newTarget.Set(this.params.X16rv3PowLimit) + } + return newTarget +} + +// compare the target +// wether target match the target diff +func (this *X16rv3) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) <= 0 +} + +// pow proof data +func (this *X16rv3) Bytes() PowBytes { + r := make(PowBytes, 0) + // write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// pow proof data +func (this *X16rv3) BlockData() PowBytes { + l := len(this.Bytes()) + return PowBytes(this.Bytes()[:l-PROOFDATA_LENGTH]) +} + +//not support +func (this *X16rv3) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/pow/x8r16.go b/core/types/pow/x8r16.go new file mode 100644 index 0000000..1fac136 --- /dev/null +++ b/core/types/pow/x8r16.go @@ -0,0 +1,116 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// license that can be found in the LICENSE file. +// Reference resources of rust bitVector +package pow + +import ( + "encoding/binary" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/json" + "math/big" +) + +type X8r16 struct { + Pow +} + +func (this *X8r16) GetPowResult() json.PowResult { + return json.PowResult{ + PowName: PowMapString[this.GetPowType()].(string), + PowType: uint8(this.GetPowType()), + Nonce: this.GetNonce(), + ProofData: nil, + } +} + +func (this *X8r16) Verify(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) error { + target := CompactToBig(targetDiffBits) + if target.Sign() <= 0 { + str := fmt.Sprintf("block target difficulty of %064x is too "+ + "low", target) + return errors.New(str) + } + + //The target difficulty must be less than the maximum allowed. + if target.Cmp(this.params.X8r16PowLimit) > 0 { + str := fmt.Sprintf("block target difficulty of %064x is "+ + "higher than max of %064x", target, this.params.X8r16PowLimit) + return errors.New(str) + } + h := hash.HashX8r16(headerData) + hashNum := HashToBig(&h) + if hashNum.Cmp(target) > 0 { + str := fmt.Sprintf("block hash of %064x is higher than"+ + " expected max of %064x", hashNum, target) + return errors.New(str) + } + return nil +} + +func (this *X8r16) GetNextDiffBig(weightedSumDiv *big.Int, oldDiffBig *big.Int, currentPowPercent *big.Int) *big.Int { + nextDiffBig := weightedSumDiv.Mul(weightedSumDiv, oldDiffBig) + defer func() { + nextDiffBig = nextDiffBig.Rsh(nextDiffBig, 32) + + }() + targetPercent := this.PowPercent() + if targetPercent.Cmp(big.NewInt(0)) <= 0 { + return nextDiffBig + } + currentPowPercent.Mul(currentPowPercent, big.NewInt(100)) + nextDiffBig.Mul(nextDiffBig, targetPercent) + nextDiffBig.Div(nextDiffBig, currentPowPercent) + return nextDiffBig +} + +func (this *X8r16) GetSafeDiff(cur_reduce_diff uint64) *big.Int { + limitBits := this.params.X8r16PowLimitBits + limitBitsBig := CompactToBig(limitBits) + if cur_reduce_diff <= 0 { + return limitBitsBig + } + newTarget := &big.Int{} + newTarget = newTarget.SetUint64(cur_reduce_diff) + // Limit new value to the proof of work limit. + if newTarget.Cmp(this.params.X8r16PowLimit) > 0 { + newTarget.Set(this.params.X8r16PowLimit) + } + return newTarget +} + +// compare the target +// wether target match the target diff +func (this *X8r16) CompareDiff(newTarget *big.Int, target *big.Int) bool { + return newTarget.Cmp(target) <= 0 +} + +// pow proof data +func (this *X8r16) Bytes() PowBytes { + r := make(PowBytes, 0) + // write pow type 1 byte + r = append(r, []byte{byte(this.PowType)}...) + // write nonce 8 bytes + n := make([]byte, 8) + binary.LittleEndian.PutUint64(n, this.Nonce) + r = append(r, n...) + + //write ProofData 169 bytes + r = append(r, this.ProofData[:]...) + return PowBytes(r) +} + +// pow proof data +func (this *X8r16) BlockData() PowBytes { + l := len(this.Bytes()) + return PowBytes(this.Bytes()[:l-PROOFDATA_LENGTH]) +} + +//not support +func (this *X8r16) FindSolver(headerData []byte, blockHash hash.Hash, targetDiffBits uint32) bool { + if err := this.Verify(headerData, blockHash, targetDiffBits); err == nil { + return true + } + return false +} diff --git a/core/types/receipt.go b/core/types/receipt.go new file mode 100644 index 0000000..2b02816 --- /dev/null +++ b/core/types/receipt.go @@ -0,0 +1,29 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import "github.com/Qitmeer/qng-core/common/hash" + +// block execution event, ex. validator change event +type Event []byte + +type BlockReceipt struct { + BlockNumber uint64 + + // The merkle root of storage trie (for kv) + StorageRoot hash.Hash + + // The merkle root for change logs trie + // 1.) ordered storage keys that changed the storage, k also map to tx(one or many) (how them changed) + // 2.) a parent MT also linked, which representing changes happened over the last change range of blocks. + // which refer to block(s) that caused the change rather than the tx included from the current block + // which provide proof that any group of change range blocks either don't change a storage item + // or can find out which tx exactly did. + ChangeRoot hash.Hash + + // The event digest of a block, which is chain-specific, useful for light-clients. + // Events are an array of data fragments that runtime encode events for light-client + // for example authority set changes (ex. validator set changes) + // fast warp sync by tracking validator set changes trustlessly + Events []Event +} diff --git a/core/types/tx.go b/core/types/tx.go new file mode 100644 index 0000000..84ddbcb --- /dev/null +++ b/core/types/tx.go @@ -0,0 +1,1149 @@ +// Copyright 2017-2018 The qitmeer developers + +package types + +import ( + "bytes" + "encoding/binary" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/common/roughtime" + s "github.com/Qitmeer/qng-core/core/serialization" + "io" + "time" +) + +const ( + + // TxVersion is the current latest supported transaction version. + TxVersion uint32 = 1 + + // defaultTxInOutAlloc is the default size used for the backing array + // for transaction inputs and outputs. The array will dynamically grow + // as needed, but this figure is intended to provide enough space for + // the number of inputs and outputs in a typical transaction without + // needing to grow the backing array multiple times. + defaultTxInOutAlloc = 15 + + // NullValueIn is a null value for an input witness. + NullValueIn uint64 = 0 + + // NullBlockHeight is the null value for an input witness. It references + // the genesis block. + NullBlockOrder uint32 = 0x00000000 + + // NullTxIndex is the null transaction index in a block for an input + // witness. + NullTxIndex uint32 = 0xffffffff + + // MaxTxInSequenceNum is the maximum sequence number the sequence field + // of a transaction input can be. + MaxTxInSequenceNum uint32 = 0xffffffff + + // MaxPrevOutIndex is the maximum index the index field of a previous + // outpoint can be. + MaxPrevOutIndex uint32 = 0xffffffff + + // SequenceLockTimeDisabled is a flag that if set on a transaction + // input's sequence number, the sequence number will not be interpreted + // as a relative locktime. + SequenceLockTimeDisabled = 1 << 31 + + // SequenceLockTimeIsSeconds is a flag that if set on a transaction + // input's sequence number, the relative locktime has units of 512 + // seconds. + SequenceLockTimeIsSeconds = 1 << 22 + + // SequenceLockTimeMask is a mask that extracts the relative locktime + // when masked against the transaction input sequence number. + SequenceLockTimeMask = 0x0000ffff + + // TODO, revisit lock time define + // SequenceLockTimeGranularity is the defined time based granularity + // for seconds-based relative time locks. When converting from seconds + // to a sequence number, the value is right shifted by this amount, + // therefore the granularity of relative time locks in 512 or 2^9 + // seconds. Enforced relative lock times are multiples of 512 seconds. + SequenceLockTimeGranularity = 9 + + // minTxPayload is the minimum payload size for a transaction. Note + // that any realistically usable transaction must have at least one + // input or output, but that is a rule enforced at a higher layer, so + // it is intentionally not included here. + // Version 4 bytes + Varint number of transaction inputs 1 byte + Varint + // number of transaction outputs 1 byte + LockTime 4 bytes + min input + // payload + min output payload. + minTxPayload = 10 + + // minTxInPayload is the minimum payload size for a transaction input. + // PreviousOutPoint.Hash + PreviousOutPoint.Index 4 bytes + + // PreviousOutPoint.Tree 1 byte + Varint for SignatureScript length 1 + // byte + Sequence 4 bytes. + minTxInPayload = 11 + hash.HashSize + + // MaxMessagePayload is the maximum bytes a message can be regardless of other + // individual limits imposed by messages themselves. + MaxMessagePayload = (1024 * 1024 * 32) // 32MB + + // maxTxInPerMessage is the maximum number of transactions inputs that + // a transaction which fits into a message could possibly have. + maxTxInPerMessage = (MaxMessagePayload / minTxInPayload) + 1 + + // minTxOutPayload is the minimum payload size for a transaction output. + // Value 8 bytes + Varint for PkScript length 1 byte. + minTxOutPayload = 9 + + // maxTxOutPerMessage is the maximum number of transactions outputs that + // a transaction which fits into a message could possibly have. + maxTxOutPerMessage = (MaxMessagePayload / minTxOutPayload) + 1 + + // NoExpiryValue is the value of expiry that indicates the transaction + // has no expiry. + NoExpiryValue uint32 = 0 + + // TokenPrevOutIndex is the token index field of a previous + // outpoint can be. + TokenPrevOutIndex uint32 = 0xfffffffe + + // TokenInSequence is the maximum tx type the sequence field + // of a transaction input can be. + TxTypeInSequence uint32 = 0x400 +) + +// TxIndexUnknown is the value returned for a transaction index that is unknown. +// This is typically because the transaction has not been inserted into a block +// yet. +const TxIndexUnknown = -1 + +// TxSerializeType represents the serialized type of a transaction. +type TxSerializeType uint16 + +const ( + // TxSerializeFull indicates a transaction be serialized with the prefix + // and all witness data. + TxSerializeFull TxSerializeType = iota + // TxSerializeNoWitness indicates a transaction be serialized with only + // the prefix. + TxSerializeNoWitness +) + +type Input interface { + GetSignScript() []byte +} + +type Output interface { + GetPkScript() []byte +} +type ScriptTx interface { + GetInput() []Input + GetOutput() []Output + GetVersion() uint32 + GetLockTime() uint32 + GetType() ScriptTxType +} +type ScriptTxType int + +const ( + QitmeerScriptTx ScriptTxType = iota + BtcScriptTx +) + +type Transaction struct { + Version uint32 + TxIn []*TxInput + TxOut []*TxOutput + LockTime uint32 + Expire uint32 + Timestamp time.Time // When the transaction was created for extensibility + + Message []byte //a unencrypted/encrypted message if user pay additional fee & limit the max length + CachedHash *hash.Hash +} + +// NewMsgTx returns a new tx message that conforms to the Message interface. +// The return instance has a default version of TxVersion and there +// are no transaction inputs or outputs. Also, the lock time is set to zero +// to indicate the transaction is valid immediately as opposed to some time in +// future. +func NewTransaction() *Transaction { + return &Transaction{ + Version: TxVersion, + TxIn: make([]*TxInput, 0, defaultTxInOutAlloc), + TxOut: make([]*TxOutput, 0, defaultTxInOutAlloc), + Timestamp: roughtime.Now(), + } +} + +// MaxTxPerTxTree returns the maximum number of transactions that could possibly +// fit into a block per ekach merkle root for the given protocol version. +func MaxTxPerTxTree(pver uint32) uint64 { + return ((MaxBlockPayload / minTxPayload) / 2) + 1 +} + +func (t *Transaction) GetInput() []Input { + txIns := make([]Input, len(t.TxIn)) + for i, txIn := range t.TxIn { + txIns[i] = txIn + } + return txIns +} +func (t *Transaction) GetVersion() uint32 { + return uint32(t.Version) +} +func (t *Transaction) GetLockTime() uint32 { + return t.LockTime +} +func (t *Transaction) GetType() ScriptTxType { + return QitmeerScriptTx +} +func (t *Transaction) GetOutput() []Output { + txOuts := make([]Output, len(t.TxOut)) + for i, txOut := range t.TxOut { + txOuts[i] = txOut + } + return txOuts +} + +// AddTxIn adds a transaction input to the message. +func (t *Transaction) AddTxIn(ti *TxInput) { + t.TxIn = append(t.TxIn, ti) +} + +// AddTxOut adds a transaction output to the message. +func (t *Transaction) AddTxOut(to *TxOutput) { + t.TxOut = append(t.TxOut, to) +} + +// SerializeSize returns the number of bytes it would take to serialize the +// the transaction. (full size) +func (tx *Transaction) SerializeSize() int { + // Unknown type return 0. + n := 0 + + // Version 4 bytes + LockTime 4 bytes + Expire 4 bytes + Timestamp 4 bytes + Serialized + // varint size for the number of transaction inputs (x2) and + // outputs. The number of inputs is added twice because it's + // encoded once in both the witness and the prefix. + n = 16 + s.VarIntSerializeSize(uint64(len(tx.TxIn))) + + s.VarIntSerializeSize(uint64(len(tx.TxOut))) + + s.VarIntSerializeSize(uint64(len(tx.TxIn))) + + for _, txIn := range tx.TxIn { + n += txIn.SerializeSizePrefix() + } + for _, txOut := range tx.TxOut { + n += txOut.SerializeSize() + } + for _, txIn := range tx.TxIn { + n += txIn.SerializeSizeWitness() + } + return n +} + +func (tx *Transaction) SerializeSizeNoWitness() int { + // Unknown type return 0. + n := 0 + // Version 4 bytes + LockTime 4 bytes + Expiry 4 bytes + // Serialized varint size for the number of transaction + // inputs and outputs. + n = 12 + s.VarIntSerializeSize(uint64(len(tx.TxIn))) + + s.VarIntSerializeSize(uint64(len(tx.TxOut))) + + for _, txIn := range tx.TxIn { + n += txIn.SerializeSizePrefix() + } + for _, txOut := range tx.TxOut { + n += txOut.SerializeSize() + } + return n +} + +// mustSerialize returns the serialization of the transaction for the provided +// serialization type without modifying the original transaction. It will panic +// if any errors occur. +func (tx *Transaction) mustSerialize(serType TxSerializeType) []byte { + var serialized []byte + var err error + + switch serType { + case TxSerializeNoWitness: + serialized, err = tx.SerializeNoWitness() + case TxSerializeFull: + serialized, err = tx.Serialize() + default: + panic("unknown TxSerializeType") + } + if err != nil { + panic("tx failed serializing") + } + return serialized +} + +// serialize returns the serialization of the transaction for the provided +// serialization type without modifying the original transaction. +func (tx *Transaction) Serialize() ([]byte, error) { + buf := bytes.NewBuffer(make([]byte, 0, tx.SerializeSize())) + err := tx.Encode(buf, 0, TxSerializeFull) + return buf.Bytes(), err +} + +func (tx *Transaction) SerializeNoWitness() ([]byte, error) { + buf := bytes.NewBuffer(make([]byte, 0, tx.SerializeSize())) + err := tx.Encode(buf, 0, TxSerializeNoWitness) + return buf.Bytes(), err +} + +func (tx *Transaction) Encode(w io.Writer, pver uint32, serType TxSerializeType) error { + // serialize version using Full + serializedVersion := uint32(tx.Version) | uint32(serType)<<16 + err := s.BinarySerializer.PutUint32(w, binary.LittleEndian, serializedVersion) + if err != nil { + return err + } + err = tx.encodePrefix(w, 0) + if err != nil { + return err + } + if serType != TxSerializeFull { + return nil + } + err = s.BinarySerializer.PutUint32(w, binary.LittleEndian, uint32(tx.Timestamp.Unix())) + if err != nil { + return err + } + return tx.encodeWitness(w, 0) +} + +// encodePrefix encodes a transaction prefix into a writer. +func (tx *Transaction) encodePrefix(w io.Writer, pver uint32) error { + count := uint64(len(tx.TxIn)) + err := s.WriteVarInt(w, pver, count) + if err != nil { + return err + } + + for _, ti := range tx.TxIn { + err = writeTxInPrefix(w, pver, tx.Version, ti) + if err != nil { + return err + } + } + + count = uint64(len(tx.TxOut)) + err = s.WriteVarInt(w, pver, count) + if err != nil { + return err + } + + for _, to := range tx.TxOut { + err = writeTxOut(w, pver, to) + if err != nil { + return err + } + } + + err = s.BinarySerializer.PutUint32(w, binary.LittleEndian, tx.LockTime) + if err != nil { + return err + } + return s.BinarySerializer.PutUint32(w, binary.LittleEndian, tx.Expire) +} + +// writeTxInPrefixs encodes for a transaction input (TxIn) prefix to w. +func writeTxInPrefix(w io.Writer, pver uint32, version uint32, ti *TxInput) error { + err := WriteOutPoint(w, pver, version, &ti.PreviousOut) + if err != nil { + return err + } + + return s.BinarySerializer.PutUint32(w, binary.LittleEndian, ti.Sequence) +} + +// WriteOutPoint encodes for an OutPoint to w. +func WriteOutPoint(w io.Writer, pver uint32, version uint32, op *TxOutPoint) error { + _, err := w.Write(op.Hash[:]) + if err != nil { + return err + } + + return s.BinarySerializer.PutUint32(w, binary.LittleEndian, op.OutIndex) +} + +// writeTxOut encodes for a transaction output (TxOut) to w. +func writeTxOut(w io.Writer, pver uint32, to *TxOutput) error { + err := s.BinarySerializer.PutUint16(w, binary.LittleEndian, uint16(to.Amount.Id)) + if err != nil { + return err + } + err = s.BinarySerializer.PutUint64(w, binary.LittleEndian, uint64(to.Amount.Value)) + if err != nil { + return err + } + return s.WriteVarBytes(w, pver, to.PkScript) +} + +// encodeWitness encodes a transaction witness into a writer. +func (tx *Transaction) encodeWitness(w io.Writer, pver uint32) error { + count := uint64(len(tx.TxIn)) + err := s.WriteVarInt(w, pver, count) + if err != nil { + return err + } + + for _, ti := range tx.TxIn { + err = s.WriteVarBytes(w, pver, ti.SignScript) + if err != nil { + return err + } + } + return nil +} + +// Deserialize decodes a transaction from r into the receiver using a format +// that is suitable for long-term storage such as a database while respecting +// the Version field in the transaction. +func (tx *Transaction) Deserialize(r io.Reader) error { + return tx.Decode(r, 0) +} + +func (tx *Transaction) Decode(r io.Reader, pver uint32) error { + // The serialized encoding of the version includes the real transaction + // version in the lower 16 bits and the transaction serialization type + // in the upper 16 bits. + version, err := s.BinarySerializer.Uint32(r, binary.LittleEndian) + if err != nil { + return err + } + tx.Version = uint32(version & 0xffff) + serType := TxSerializeType(version >> 16) + + // returnScriptBuffers is a closure that returns any script buffers that + // were borrowed from the pool when there are any deserialization + // errors. This is only valid to call before the final step which + // replaces the scripts with the location in a contiguous buffer and + // returns them. + returnScriptBuffers := func() { + for _, txIn := range tx.TxIn { + if txIn == nil || txIn.SignScript == nil { + continue + } + scriptPool.Return(txIn.SignScript) + } + for _, txOut := range tx.TxOut { + if txOut == nil || txOut.PkScript == nil { + continue + } + scriptPool.Return(txOut.PkScript) + } + } + + switch serType { + case TxSerializeFull: + totalScriptSizeOuts, err := tx.decodePrefix(r) + if err != nil { + returnScriptBuffers() + return err + } + sec, err := s.BinarySerializer.Uint32(r, binary.LittleEndian) + if err != nil { + return err + } + tx.Timestamp = time.Unix(int64(sec), 0) + totalScriptSizeIns, err := tx.decodeWitness(r) + if err != nil { + returnScriptBuffers() + return err + } + writeTxScriptsToMsgTx(tx, totalScriptSizeIns+ + totalScriptSizeOuts, TxSerializeFull) + case TxSerializeNoWitness: + totalScriptSizeOuts, err := tx.decodePrefix(r) + if err != nil { + returnScriptBuffers() + return err + } + writeTxScriptsToMsgTx(tx, + totalScriptSizeOuts, TxSerializeNoWitness) + default: + return fmt.Errorf("Transaction.Deserialize : wrong transaction serializetion type [%d]", serType) + } + return nil +} + +// decodePrefix decodes a transaction prefix and stores the contents +// in the embedded msgTx. +func (tx *Transaction) decodePrefix(r io.Reader) (uint64, error) { + + count, err := s.ReadVarInt(r, 0) + if err != nil { + return 0, err + } + // Prevent more input transactions than could possibly fit into a + // message. It would be possible to cause memory exhaustion and panics + // without a sane upper bound on this count. + if count > uint64(maxTxInPerMessage) { + return 0, fmt.Errorf("Tx.decodePrefix: too many input "+ + "transactions to fit into max message size [count %d, max %d]", + count, + maxTxInPerMessage) + } + + // TxIns. + txIns := make([]TxInput, count) + tx.TxIn = make([]*TxInput, count) + for i := uint64(0); i < count; i++ { + // The pointer is set now in case a script buffer is borrowed + // and needs to be returned to the pool on error. + ti := &txIns[i] + tx.TxIn[i] = ti + err = readTxInPrefix(r, tx.Version, ti) + if err != nil { + return 0, err + } + } + + count, err = s.ReadVarInt(r, 0) + if err != nil { + return 0, err + } + + // Prevent more output transactions than could possibly fit into a + // message. It would be possible to cause memory exhaustion and panics + // without a sane upper bound on this count. + if count > uint64(maxTxOutPerMessage) { + + return 0, fmt.Errorf("Tx.decodePrefix too many output transactions"+ + " to fit into max message size [count %d, max %d]", count, + maxTxOutPerMessage) + } + + // TxOuts. + var totalScriptSize uint64 + txOuts := make([]TxOutput, count) + tx.TxOut = make([]*TxOutput, count) + for i := uint64(0); i < count; i++ { + // The pointer is set now in case a script buffer is borrowed + // and needs to be returned to the pool on error. + to := &txOuts[i] + tx.TxOut[i] = to + err = readTxOut(r, to) + if err != nil { + return 0, err + } + totalScriptSize += uint64(len(to.PkScript)) + } + + // Locktime and expiry. + tx.LockTime, err = s.BinarySerializer.Uint32(r, binary.LittleEndian) + if err != nil { + return 0, err + } + + tx.Expire, err = s.BinarySerializer.Uint32(r, binary.LittleEndian) + if err != nil { + return 0, err + } + return totalScriptSize, nil +} + +// readTxInPrefix reads the next sequence of bytes from r as a transaction input +// (TxIn) in the transaction prefix. +func readTxInPrefix(r io.Reader, version uint32, ti *TxInput) error { + // Outpoint. + err := ReadOutPoint(r, version, &ti.PreviousOut) + if err != nil { + return err + } + + // Sequence. + ti.Sequence, err = s.BinarySerializer.Uint32(r, binary.LittleEndian) + return err +} + +// ReadOutPoint reads the next sequence of bytes from r as an OutPoint. +func ReadOutPoint(r io.Reader, version uint32, op *TxOutPoint) error { + _, err := io.ReadFull(r, op.Hash[:]) + if err != nil { + return err + } + op.OutIndex, err = s.BinarySerializer.Uint32(r, binary.LittleEndian) + if err != nil { + return err + } + return nil +} + +// readTxOut reads the next sequence of bytes from r as a transaction output +// (TxOut). +func readTxOut(r io.Reader, to *TxOutput) error { + coinid, err := s.BinarySerializer.Uint16(r, binary.LittleEndian) + if err != nil { + return err + } + var value uint64 + value, err = s.BinarySerializer.Uint64(r, binary.LittleEndian) + if err != nil { + return err + } + to.Amount = Amount{int64(value), CoinID(coinid)} + + to.PkScript, err = readScript(r) + return err +} + +// readScript reads a variable length byte array that represents a transaction +// script. It is encoded as a varInt containing the length of the array +// followed by the bytes themselves. An error is returned if the length is +// greater than the passed maxAllowed parameter which helps protect against +// memory exhaustion attacks and forced panics thorugh malformed messages. The +// fieldName parameter is only used for the error message so it provides more +// context in the error. +func readScript(r io.Reader) ([]byte, error) { + count, err := s.ReadVarInt(r, 0) + if err != nil { + return nil, err + } + // Prevent byte array larger than the max message size. It would + // be possible to cause memory exhaustion and panics without a sane + // upper bound on this count. + if count > uint64(MaxMessagePayload) { + return nil, fmt.Errorf("readScript: larger than the max allowed size "+ + "[count %d, max %d]", count, MaxMessagePayload) + } + + b := scriptPool.Borrow(count) + _, err = io.ReadFull(r, b) + if err != nil { + scriptPool.Return(b) + return nil, err + } + return b, nil +} + +func (tx *Transaction) decodeWitness(r io.Reader) (uint64, error) { + // Witness only; generate the TxIn list and fill out only the + // sigScripts. + var totalScriptSize uint64 + + // We're decoding witnesses from a full transaction, so read in + // the number of signature scripts, check to make sure it's the + // same as the number of TxIns we currently have, then fill in + // the signature scripts. + count, err := s.ReadVarInt(r, 0) + if err != nil { + return 0, err + } + + // Don't allow the deserializer to panic by accessing memory + // that doesn't exist. + if int(count) != len(tx.TxIn) { + return 0, fmt.Errorf("Tx.decodeWitness: non equal witness and prefix txin quantities "+ + "(witness %v, prefix %v)", count, + len(tx.TxIn)) + } + + // Prevent more input transactions than could possibly fit into a + // message. It would be possible to cause memory exhaustion and panics + // without a sane upper bound on this count. + if count > uint64(maxTxInPerMessage) { + return 0, fmt.Errorf("MsgTx.decodeWitness:too many input transactions to fit into "+ + "max message size [count %d, max %d]", count, + maxTxInPerMessage) + } + + // Read in the witnesses, and copy them into the already generated + // by decodePrefix TxIns. + for i := uint64(0); i < count; i++ { + ti := tx.TxIn[i] + + // Signature script. + ti.SignScript, err = readScript(r) + if err != nil { + return 0, err + } + totalScriptSize += uint64(len(ti.SignScript)) + } + return totalScriptSize, nil +} + +// writeTxScriptsToMsgTx allocates the memory for variable length fields in a +// Tx TxIns, TxOuts, or both as a contiguous chunk of memory, then fills +// in these fields for the Tx by copying to a contiguous piece of memory +// and setting the pointer. +// +// NOTE: It is no longer valid to return any previously borrowed script +// buffers after this function has run because it is already done and the +// scripts in the transaction inputs and outputs no longer point to the +// buffers. +func writeTxScriptsToMsgTx(tx *Transaction, totalScriptSize uint64, serType TxSerializeType) { + // Create a single allocation to house all of the scripts and set each + // input signature scripts and output public key scripts to the + // appropriate subslice of the overall contiguous buffer. Then, return + // each individual script buffer back to the pool so they can be reused + // for future deserialization. This is done because it significantly + // reduces the number of allocations the garbage collector needs to track, + // which in turn improves performance and drastically reduces the amount + // of runtime overhead that would otherwise be needed to keep track of + // millions of small allocations. + // + // using Closures to write the TxIn and TxOut scripts because, depending + // on the serialization type desired, only input or output scripts may + // be required. + var offset uint64 + scripts := make([]byte, totalScriptSize) + writeTxIns := func() { + for i := 0; i < len(tx.TxIn); i++ { + // Copy the signature script into the contiguous buffer at the + // appropriate offset. + signatureScript := tx.TxIn[i].SignScript + copy(scripts[offset:], signatureScript) + + // Reset the signature script of the transaction input to the + // slice of the contiguous buffer where the script lives. + scriptSize := uint64(len(signatureScript)) + end := offset + scriptSize + tx.TxIn[i].SignScript = scripts[offset:end:end] + offset += scriptSize + + // Return the temporary script buffer to the pool. + scriptPool.Return(signatureScript) + } + } + writeTxOuts := func() { + for i := 0; i < len(tx.TxOut); i++ { + // Copy the public key script into the contiguous buffer at the + // appropriate offset. + pkScript := tx.TxOut[i].PkScript + copy(scripts[offset:], pkScript) + + // Reset the public key script of the transaction output to the + // slice of the contiguous buffer where the script lives. + scriptSize := uint64(len(pkScript)) + end := offset + scriptSize + tx.TxOut[i].PkScript = scripts[offset:end:end] + offset += scriptSize + + // Return the temporary script buffer to the pool. + scriptPool.Return(pkScript) + } + } + + // Handle the serialization types accordingly. + if serType == TxSerializeFull { + writeTxIns() + } + writeTxOuts() +} + +// CachedTxHash is equivalent to calling TxHash, however it caches the result so +// subsequent calls do not have to recalculate the hash. It can be recalculated +// later with RecacheTxHash. +func (t *Transaction) CachedTxHash() *hash.Hash { + if t.CachedHash == nil { + return t.RecacheTxHash() + } + return t.CachedHash +} + +// RecacheTxHash is equivalent to calling TxHash, however it replaces the cached +// result so future calls to CachedTxHash will return this newly calculated +// hash. +func (t *Transaction) RecacheTxHash() *hash.Hash { + h := t.TxHash() + t.CachedHash = &h + return t.CachedHash +} + +// TxHash generates the hash for the transaction prefix. Since it does not +// contain any witness data, it is not malleable and therefore is stable for +// use in unconfirmed transaction chains. +func (tx *Transaction) TxHash() hash.Hash { + // TxHash should always calculate a non-witnessed hash. + return hash.DoubleHashH(tx.mustSerialize(TxSerializeNoWitness)) +} + +// TxHashFull generates the hash for the transaction prefix || witness. It first +// obtains the hashes for both the transaction prefix and witness, then +// concatenates them and hashes the result. +func (tx *Transaction) TxHashFull() hash.Hash { + return hash.DoubleHashH(tx.mustSerialize(TxSerializeFull)) +} + +func (tx *Transaction) IsCoinBase() bool { + return IsCoinBaseTx(tx) +} + +// Tx defines a transaction that provides easier and more efficient manipulation +// of raw transactions. It also memorizes the hash for the transaction on its +// first access so subsequent accesses don't have to repeat the relatively +// expensive hashing operations. +type Tx struct { + Tx *Transaction // Underlying Transaction + hash hash.Hash // Cached transaction hash + txIndex int // Position within a block or TxIndexUnknown + IsDuplicate bool // Whether duplicate tx. +} + +// Transaction() returns the underlying Tx for the transaction. +func (t *Tx) Transaction() *Transaction { + // Return the cached transaction. + return t.Tx +} + +// Hash returns the hash of the transaction. This is equivalent to +// calling TxHash on the underlying wire.MsgTx, however it caches the +// result so subsequent calls are more efficient. +func (t *Tx) Hash() *hash.Hash { + return &t.hash +} + +func (t *Tx) RefreshHash() { + t.hash = t.Tx.TxHash() +} + +// SetIndex sets the index of the transaction in within a block. +func (t *Tx) SetIndex(index int) { + t.txIndex = index +} + +func (t *Tx) Index() int { + return t.txIndex +} + +// NewTx returns a new instance of a transaction given an underlying +// wire.MsgTx. See Tx. +func NewTx(t *Transaction) *Tx { + return &Tx{ + hash: t.TxHash(), + Tx: t, + txIndex: TxIndexUnknown, + IsDuplicate: false, + } +} + +// NewTxDeep returns a new instance of a transaction given an underlying +// wire.MsgTx. Until NewTx, it completely copies the data in the msgTx +// so that there are new memory allocations, in case you were to somewhere +// else modify the data assigned to these pointers. +func NewTxDeep(msgTx *Transaction) *Tx { + txIns := make([]*TxInput, len(msgTx.TxIn)) + txOuts := make([]*TxOutput, len(msgTx.TxOut)) + + for i, txin := range msgTx.TxIn { + sigScript := make([]byte, len(txin.SignScript)) + copy(sigScript[:], txin.SignScript[:]) + + txIns[i] = &TxInput{ + PreviousOut: TxOutPoint{ + Hash: txin.PreviousOut.Hash, + OutIndex: txin.PreviousOut.OutIndex, + }, + Sequence: txin.Sequence, + SignScript: sigScript, + } + } + + for i, txout := range msgTx.TxOut { + pkScript := make([]byte, len(txout.PkScript)) + copy(pkScript[:], txout.PkScript[:]) + + txOuts[i] = &TxOutput{ + Amount: txout.Amount, + PkScript: pkScript, + } + } + + mtx := &Transaction{ + CachedHash: nil, + Version: msgTx.Version, + TxIn: txIns, + TxOut: txOuts, + LockTime: msgTx.LockTime, + Expire: msgTx.Expire, + Timestamp: msgTx.Timestamp, + } + + return &Tx{ + hash: mtx.TxHash(), + Tx: mtx, + txIndex: TxIndexUnknown, + } +} + +// NewTxDeepTxIns is used to deep copy a transaction, maintaining the old +// pointers to the TxOuts while replacing the old pointers to the TxIns with +// deep copies. This is to prevent races when the fraud proofs for the +// transactions are set by the miner. +func NewTxDeepTxIns(msgTx *Transaction) *Tx { + if msgTx == nil { + return nil + } + + newMsgTx := new(Transaction) + + // Copy the fixed fields. + newMsgTx.Version = msgTx.Version + newMsgTx.LockTime = msgTx.LockTime + newMsgTx.Expire = msgTx.Expire + newMsgTx.Timestamp = msgTx.Timestamp + + // Copy the TxIns deeply. + for _, txIn := range msgTx.TxIn { + sigScrLen := len(txIn.SignScript) + sigScrCopy := make([]byte, sigScrLen) + + txInCopy := new(TxInput) + txInCopy.PreviousOut.Hash = txIn.PreviousOut.Hash + txInCopy.PreviousOut.OutIndex = txIn.PreviousOut.OutIndex + + txInCopy.Sequence = txIn.Sequence + + txInCopy.SignScript = sigScrCopy + + newMsgTx.AddTxIn(txIn) + } + + // Shallow copy the TxOuts. + for _, txOut := range msgTx.TxOut { + newMsgTx.AddTxOut(txOut) + } + + return &Tx{ + hash: msgTx.TxHash(), + Tx: msgTx, + txIndex: TxIndexUnknown, + } +} + +type TxOutPoint struct { + Hash hash.Hash //txid + OutIndex uint32 //vout +} + +// NewOutPoint returns a new transaction outpoint point with the +// provided hash and index. +func NewOutPoint(hash *hash.Hash, index uint32) *TxOutPoint { + return &TxOutPoint{ + Hash: *hash, + OutIndex: index, + } +} + +type TxInput struct { + PreviousOut TxOutPoint + //the signature script (or witness script? or redeem script?) + SignScript []byte + // This number has more historical significance than relevant usage; + // however, its most relevant purpose is to enable “locking” of payments + // so that they cannot be redeemed until a certain time. + Sequence uint32 //work with LockTime (disable use 0xffffffff, bitcoin historical) + AmountIn Amount +} + +// NewTxIn returns a new transaction input with the provided previous outpoint +// point and signature script with a default sequence of MaxTxInSequenceNum. +func NewTxInput(prevOut *TxOutPoint, signScript []byte) *TxInput { + return &TxInput{ + PreviousOut: *prevOut, + Sequence: MaxTxInSequenceNum, + SignScript: signScript, + } +} + +func (ti *TxInput) GetSignScript() []byte { + return ti.SignScript +} + +// SerializeSizeWitness returns the number of bytes it would take to serialize the +// transaction input for a witness. +func (ti *TxInput) SerializeSize() int { + // Outpoint Hash 32 bytes + Outpoint Index 4 bytes + Sequence 4 bytes + + // serialized varint size for the length of SignatureScript + + // SignatureScript bytes. + return 40 + s.VarIntSerializeSize(uint64(len(ti.SignScript))) + + len(ti.SignScript) +} + +// SerializeSizePrefix returns the number of bytes it would take to serialize +// the transaction input for a prefix. +func (ti *TxInput) SerializeSizePrefix() int { + // Outpoint Hash 32 bytes + Outpoint Index 4 bytes + Sequence 4 bytes. + return 40 +} + +// SerializeSizeWitness returns the number of bytes it would take to serialize the +// transaction input for a witness. +func (ti *TxInput) SerializeSizeWitness() int { + // ValueIn (8 bytes) + BlockHeight (4 bytes) + BlockTxIndex (4 bytes) + + // serialized varint size for the length of SignScript + + // SignScript bytes. + return s.VarIntSerializeSize(uint64(len(ti.SignScript))) + len(ti.SignScript) +} + +type TxOutput struct { + Amount Amount + PkScript []byte //Here, asm/type -> OP_XXX OP_RETURN +} + +// NewTxOutput returns a new bitcoin transaction output with the provided +// transaction value and public key script. +func NewTxOutput(amount Amount, pkScript []byte) *TxOutput { + return &TxOutput{ + Amount: amount, + PkScript: pkScript, + } +} + +func (to *TxOutput) GetPkScript() []byte { + return to.PkScript +} + +// SerializeSize returns the number of bytes it would take to serialize the +// the transaction output. +func (to *TxOutput) SerializeSize() int { + // CoinId 2 bytes + Value 8 bytes + serialized varint size for + // the length of PkScript + PkScript bytes. + return 2 + 8 + s.VarIntSerializeSize(uint64(len(to.PkScript))) + len(to.PkScript) +} + +type ContractTransaction struct { + From Account + To Account + Value uint64 + GasPrice uint64 + GasLimit uint64 + Nonce uint64 + Input []byte + Signature []byte +} + +// TxDesc is a descriptor about a transaction in a transaction source along with +// additional metadata. +type TxDesc struct { + // Tx is the transaction associated with the entry. + Tx *Tx + + // Added is the time when the entry was added to the source pool. + Added time.Time + + // Height is the block height when the entry was added to the the source + // pool. + Height int64 + + // Fee is the total fee the transaction associated with the entry pays. + Fee int64 + + // FeePerKB is the fee the transaction pays in meer per 1000 bytes. + FeePerKB int64 +} + +// TxLoc holds locator data for the offset and length of where a transaction is +// located within a MsgBlock data buffer. +type TxLoc struct { + TxStart int + TxLen int +} + +const ( + // freeListMaxScriptSize is the size of each buffer in the free list + // that is used for deserializing scripts from the wire before they are + // concatenated into a single contiguous buffers. This value was chosen + // because it is slightly more than twice the size of the vast majority + // of all "standard" scripts. Larger scripts are still deserialized + // properly as the free list will simply be bypassed for them. + freeListMaxScriptSize = 512 + + // freeListMaxItems is the number of buffers to keep in the free list + // to use for script deserialization. This value allows up to 100 + // scripts per transaction being simultaneously deserialized by 125 + // peers. Thus, the peak usage of the free list is 12,500 * 512 = + // 6,400,000 bytes. + freeListMaxItems = 12500 +) + +// scriptFreeList defines a free list of byte slices (up to the maximum number +// defined by the freeListMaxItems constant) that have a cap according to the +// freeListMaxScriptSize constant. It is used to provide temporary buffers for +// deserializing scripts in order to greatly reduce the number of allocations +// required. +// +// The caller can obtain a buffer from the free list by calling the Borrow +// function and should return it via the Return function when done using it. +type scriptFreeList chan []byte + +// Borrow returns a byte slice from the free list with a length according the +// provided size. A new buffer is allocated if there are any items available. +// +// When the size is larger than the max size allowed for items on the free list +// a new buffer of the appropriate size is allocated and returned. It is safe +// to attempt to return said buffer via the Return function as it will be +// ignored and allowed to go the garbage collector. +func (c scriptFreeList) Borrow(size uint64) []byte { + if size > freeListMaxScriptSize { + return make([]byte, size) + } + + var buf []byte + select { + case buf = <-c: + default: + buf = make([]byte, freeListMaxScriptSize) + } + return buf[:size] +} + +// Return puts the provided byte slice back on the free list when it has a cap +// of the expected length. The buffer is expected to have been obtained via +// the Borrow function. Any slices that are not of the appropriate size, such +// as those whose size is greater than the largest allowed free list item size +// are simply ignored so they can go to the garbage collector. +func (c scriptFreeList) Return(buf []byte) { + // Ignore any buffers returned that aren't the expected size for the + // free list. + if cap(buf) != freeListMaxScriptSize { + return + } + + // Return the buffer to the free list when it's not full. Otherwise let + // it be garbage collected. + select { + case c <- buf: + default: + // Let it go to the garbage collector. + } +} + +// NewTxFromBytes returns a new instance of a bitcoin transaction given the +// serialized bytes. See Tx. +func NewTxFromBytes(serializedTx []byte) (*Tx, error) { + br := bytes.NewReader(serializedTx) + return NewTxFromReader(br) +} + +// NewTxFromReader returns a new instance of a bitcoin transaction given a +// Reader to deserialize the transaction. See Tx. +func NewTxFromReader(r io.Reader) (*Tx, error) { + // Deserialize the bytes into a MsgTx. + var msgTx Transaction + err := msgTx.Deserialize(r) + if err != nil { + return nil, err + } + + t := Tx{ + Tx: &msgTx, + IsDuplicate: false, + hash: msgTx.TxHash(), + txIndex: TxIndexUnknown, + } + return &t, nil +} + +// Create the concurrent safe free list to use for script deserialization. As +// previously described, this free list is maintained to significantly reduce +// the number of allocations. +var scriptPool scriptFreeList = make(chan []byte, freeListMaxItems) + +func IsSequenceLockTimeDisabled(sequence uint32) bool { + return sequence&SequenceLockTimeDisabled != 0 || sequence <= TxTypeInSequence +} diff --git a/core/types/tx_test.go b/core/types/tx_test.go new file mode 100644 index 0000000..1f980ab --- /dev/null +++ b/core/types/tx_test.go @@ -0,0 +1,84 @@ +package types + +import ( + "encoding/hex" + "github.com/Qitmeer/qng-core/common/hash" + "testing" + "time" +) + +func createTx(ctime *time.Time) (*Transaction, error) { + tx := NewTransaction() + tx.AddTxIn(&TxInput{ + PreviousOut: *NewOutPoint(&hash.Hash{}, MaxPrevOutIndex), + Sequence: MaxTxInSequenceNum, + SignScript: []byte{}, + }) + + if ctime != nil { + tx.Timestamp = *ctime + } else { + tx.Timestamp, _ = time.Parse("2016-01-02 15:04:05", "2019-13-14 00:00:00") + } + ds, err := hex.DecodeString("76a914868b9b6bc7e4a9c804ad3d3d7a2a6be27476941e88ac") + if err != nil { + return nil, err + } + var amt *Amount + amt, err = NewMeer(1200000000) + if err != nil { + return nil, err + } + tx.AddTxOut(&TxOutput{ + Amount: *amt, + PkScript: ds, + }) + + return tx, nil +} + +func Test_TxHash(t *testing.T) { + tx, err := createTx(nil) + if err != nil { + t.FailNow() + } + wantTxidStr := "3a73ec7b175f06eb2aa1a1184b76b626416bcef99af8699605b0fc082cd9d032" + got := tx.TxHash().String() + if got != wantTxidStr { + t.Errorf("want %s, got %s", wantTxidStr, got) + } +} + +func Test_TxHashFull(t *testing.T) { + tx, err := createTx(nil) + if err != nil { + t.FailNow() + } + wantTxHashStr := "fe5ffd5eb8f349fe2281b8f9bcba0c8db8778c27b83ae2d6c8624513821b4fc4" + got := tx.TxHashFull().String() + if got != wantTxHashStr { + t.Errorf("want %s, got %s", wantTxHashStr, got) + } +} + +func Test_TxExtensibility(t *testing.T) { + tx, err := createTx(nil) + if err != nil { + t.FailNow() + } + newTX := NewTxDeep(tx) + + // Although the tx content is the same, the tx creation time is different. + newTX.Tx.Timestamp = newTX.Tx.Timestamp.Add(time.Second) + + txHash := tx.TxHash() + newTxHash := newTX.Tx.TxHash() + if !newTxHash.IsEqual(&txHash) { + t.Fatal() + } + txHashFull := tx.TxHashFull() + newTxHashFull := newTX.Tx.TxHashFull() + if newTxHashFull.IsEqual(&txHashFull) { + t.Fatal() + } +} diff --git a/core/types/txtype.go b/core/types/txtype.go new file mode 100644 index 0000000..83fd026 --- /dev/null +++ b/core/types/txtype.go @@ -0,0 +1,265 @@ +// Copyright (c) 2021 The qitmeer developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +import ( + "fmt" + "github.com/Qitmeer/qng-core/common/math" +) + +// TxType indicates the type of transactions +// such as regular or other tx type (coinbase, stake or token). +type TxType int + +const ( + TxTypeRegular TxType = iota + TxTypeCoinbase TxType = 0x1 + TxTypeGenesisLock TxType = 0x2 // the tx try to lock the genesis output to the stake pool + + TxTypeStakebase TxType = 0x10 // the special tx which vote for stake_purchase and reward stake holder from the stake_reserve + TyTypeStakeReserve TxType = 0x11 // the tx reserve consensus-based value to a special stake_reserve address + TxTypeStakePurchase TxType = 0x12 // the tx of stake holder who lock value into stake pool + TxTypeStakeDispose TxType = 0x13 // the opposite tx of stake_purchase + + TxTypeTokenRegulation TxType = 0x80 // token-regulation is reserved, not for using. + TxTypeTokenNew TxType = 0x81 // new coin-id, owners, up-limit etc. the token is disabled after token-new. + TxTypeTokenRenew TxType = 0x82 // update owners, up-limits etc. can't change coin-id. renew works only when the token is disabled. + TxTypeTokenValidate TxType = 0x83 // enable the token. + TxTypeTokenInvalidate TxType = 0x84 // disable the token. + TxTypeTokenRevoke TxType = 0x8f // revoke the coin-id. token-revoke is reserved, not used at current stage. + + TxTypeTokenbase TxType = 0x90 // token-base is reserved, not used at current stage. + TxTypeTokenMint TxType = 0x91 // token owner mint token amount by locking MEER. (must validated token) + TxTypeTokenUnmint TxType = 0x92 // token owner unmint token amount by releasing MEER. (must validated token) +) + +func (tt TxType) String() string { + switch tt { + case TxTypeRegular: + return "TxTypeRegular" + case TxTypeCoinbase: + return "TxTypeCoinbase" + case TxTypeGenesisLock: + return "TxTypeGenesisLock" + case TxTypeStakebase: + return "TxTypeStakebase" + case TyTypeStakeReserve: + return "TyTypeStakeReserve" + case TxTypeStakePurchase: + return "TxTypeStakePurchase" + case TxTypeStakeDispose: + return "TxTypeStakeDispose" + case TxTypeTokenRegulation: + return "TxTypeTokenRegulation" + case TxTypeTokenNew: + return "TxTypeTokenNew" + case TxTypeTokenRenew: + return "TxTypeTokenRenew" + case TxTypeTokenValidate: + return "TxTypeTokenValidate" + case TxTypeTokenInvalidate: + return "TxTypeTokenInvalidate" + case TxTypeTokenRevoke: + return "TxTypeTokenRevoke" + case TxTypeTokenbase: + return "TxTypeTokenbase" + case TxTypeTokenMint: + return "TxTypeTokenMint" + case TxTypeTokenUnmint: + return "TxTypeTokenUnmint" + } + return "Unknow" +} + +// DetermineTxType determines the type of transaction +func DetermineTxType(tx *Transaction) TxType { + if IsCoinBaseTx(tx) { + return TxTypeCoinbase + } + if IsGenesisLockTx(tx) { + return TxTypeGenesisLock + } + if IsTokenNewTx(tx) { + return TxTypeTokenNew + } + if IsTokenRenewTx(tx) { + return TxTypeTokenRenew + } + if IsTokenValidateTx(tx) { + return TxTypeTokenValidate + } + if IsTokenInvalidateTx(tx) { + return TxTypeTokenInvalidate + } + if IsTokenMintTx(tx) { + return TxTypeTokenMint + } + if IsTokenUnmintTx(tx) { + return TxTypeTokenUnmint + } + //TODO more txType + return TxTypeRegular +} + +// IsCoinBaseTx determines whether or not a transaction is a coinbase. A +// coinbase is a special transaction created by miners that has no inputs. +// This is represented in the block chain by a transaction with a single input +// that has a previous output transaction index set to the maximum value along +// with a zero hash. +// +// This function only differs from IsCoinBase in that it works with a raw wire +// transaction as opposed to a higher level util transaction. +func IsCoinBaseTx(tx *Transaction) bool { + // A coin base must only have one transaction input. + if len(tx.TxIn) != 1 { + return false + } + // The previous output of a coin base must have a max value index and a + // zero hash. + prevOut := &tx.TxIn[0].PreviousOut + /*if prevOut.OutIndex != math.MaxUint32 || !prevOut.Hash.IsEqual(&hash.ZeroHash) { + return false + }*/ + return prevOut.OutIndex == math.MaxUint32 +} + +// -------------------------------------------------------------------------------- +// The Genesis_XXX transactions +// +// the transactions related to the genesis UTXOs +// +// - genesis_lock how lock the genesis output to the stake pool +// -------------------------------------------------------------------------------- + +// CheckGenesisLock returns an error if a transaction is not a genesis_lock transaction. +// It makes sure the number of inputs/outputs, and related scripts are valid. +// +// genesis_lock transactions are specified as below: +// +// 1.) Inputs: +// genesis output 1 [index 0] +// genesis output 2 [index 1] +// ... +// +// 2.) Outputs: +// OP_STAKE_LOCK tagged output [index 0] +// OP_RETURN push of input 1's stake reward receiving address [index 1] +// OP_STAKE_LOCK tagged output [index 2] +// OP_RETURN push of input 2's stake reward receiving address [index 3] +// ... +// Note: The output OP_RETURN pushes should be of size 20 bytes (standard address). +// +// 3.) NO changes are allowed for the tx && NO fee are allowed for this tx. +// inputs amount == output amount +// +func CheckGenesisLock(tx *Transaction) error { + return fmt.Errorf("CheckGenesisLock is not supported yet") +} + +// IsGenesisLockTx returns whether or not a transaction is a genesis_lock transaction. +func IsGenesisLockTx(tx *Transaction) bool { + return CheckGenesisLock(tx) == nil +} + +// -------------------------------------------------------------------------------- +// Stake_XXX Transaction +// -------------------------------------------------------------------------------- + +// -------------------------------------------------------------------------------- +// Token_XXX Transaction +// +// +// The workflow of an new token +// roles +// - token operator : the controller of a token who provide & organize the financial services using the token and +// take the responsibility as the legislate entity. +// - token regulator : the main supervising body who assure all token operator follow regulatory guidelines, such as AML policy etc. +// who in charge of new token approve and supervision the running token service. +// workflow +// 1. token operator request to token regulator, fulfil the requirement of the new token application. (off-chain) +// 2. if 1. is accepted, token regulator issue token_new (on chain). +// 3. consensus-based vote for token_validate (on chain). +// 4. if 3. is ok, token can be operated by token operator officially. +// 5. token operator do token_mint, the consensus-based token amount assessable. (on chain) +// -------------------------------------------------------------------------------- + +func IsTokenNewTx(tx *Transaction) bool { + if len(tx.TxOut) != 1 || len(tx.TxIn) != 1 { + return false + } + if tx.TxIn[0].PreviousOut.OutIndex != TokenPrevOutIndex { + return false + } + return TxType(tx.TxIn[0].Sequence) == TxTypeTokenNew +} + +func IsTokenRenewTx(tx *Transaction) bool { + if len(tx.TxOut) != 1 || len(tx.TxIn) != 1 { + return false + } + if tx.TxIn[0].PreviousOut.OutIndex != TokenPrevOutIndex { + return false + } + return TxType(tx.TxIn[0].Sequence) == TxTypeTokenRenew +} + +func IsTokenValidateTx(tx *Transaction) bool { + if len(tx.TxOut) != 1 || len(tx.TxIn) != 1 { + return false + } + if tx.TxIn[0].PreviousOut.OutIndex != TokenPrevOutIndex { + return false + } + return TxType(tx.TxIn[0].Sequence) == TxTypeTokenValidate +} + +func IsTokenInvalidateTx(tx *Transaction) bool { + if len(tx.TxOut) != 1 || len(tx.TxIn) != 1 { + return false + } + if tx.TxIn[0].PreviousOut.OutIndex != TokenPrevOutIndex { + return false + } + return TxType(tx.TxIn[0].Sequence) == TxTypeTokenInvalidate +} + +func IsTokenMintTx(tx *Transaction) bool { + if len(tx.TxOut) < 1 || len(tx.TxIn) <= 1 { + return false + } + if tx.TxIn[0].PreviousOut.OutIndex != TokenPrevOutIndex { + return false + } + return TxType(tx.TxIn[0].Sequence) == TxTypeTokenMint +} + +func IsTokenUnmintTx(tx *Transaction) bool { + if len(tx.TxOut) < 1 || len(tx.TxIn) <= 1 { + return false + } + if tx.TxIn[0].PreviousOut.OutIndex != TokenPrevOutIndex { + return false + } + return TxType(tx.TxIn[0].Sequence) == TxTypeTokenUnmint +} + +func IsTokenTx(tx *Transaction) bool { + return IsTokenNewTx(tx) || + IsTokenRenewTx(tx) || + IsTokenValidateTx(tx) || + IsTokenInvalidateTx(tx) || + IsTokenMintTx(tx) || + IsTokenUnmintTx(tx) +} + +// Standard transaction type +var StdTxs = []TxType{TxTypeRegular, TxTypeCoinbase} +var NonStdTxs = []TxType{ + TxTypeTokenNew, + TxTypeTokenRenew, + TxTypeTokenInvalidate, + TxTypeTokenValidate, + TxTypeTokenMint, +} diff --git a/core/types/txtype_test.go b/core/types/txtype_test.go new file mode 100644 index 0000000..c6e0d46 --- /dev/null +++ b/core/types/txtype_test.go @@ -0,0 +1,37 @@ +// Copyright (c) 2021 The qitmeer developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +import ( + "testing" +) + +func TestAllTxTypeValues(t *testing.T) { + for _, test := range []struct { + txType TxType + want int + }{ + {TxTypeRegular, 0}, + {TxTypeCoinbase, 1}, + {TxTypeGenesisLock, 2}, + {TxTypeStakebase, 16}, + {TyTypeStakeReserve,17}, + {TxTypeStakePurchase,18}, + {TxTypeStakeDispose,19}, + {TxTypeTokenRegulation,128}, + {TxTypeTokenNew,129}, + {TxTypeTokenRenew,130}, + {TxTypeTokenValidate,131}, + {TxTypeTokenInvalidate ,132}, + {TxTypeTokenRevoke,143}, + {TxTypeTokenbase, 144}, + {TxTypeTokenMint,145}, + {TxTypeTokenUnmint,146}, + }{ + if test.txType != TxType(test.want) { + t.Errorf("want %v but got %v", test.want, test.txType) + } + } +} diff --git a/core/types/weight.go b/core/types/weight.go new file mode 100644 index 0000000..f1f5a8a --- /dev/null +++ b/core/types/weight.go @@ -0,0 +1,20 @@ +// Copyright (c) 2013-2017 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package types + +const ( + // MaxBlockWeight defines the maximum block weight + MaxBlockWeight = 4000000 + + // MaxBlockSigOpsCost is the maximum number of signature operations + // allowed for a block. It is calculated via a weighted algorithm which + // weights segregated witness sig ops lower than regular sig ops. + MaxBlockSigOpsCost = 80000 +) + +// GetBlockWeight computes the value of the weight metric for a given block. +func GetBlockWeight(blk *Block) int { + return blk.SerializeSize() +} diff --git a/crypto/bip32/bip32.go b/crypto/bip32/bip32.go new file mode 100644 index 0000000..96ab4d4 --- /dev/null +++ b/crypto/bip32/bip32.go @@ -0,0 +1,323 @@ +package bip32 + +import ( + "bytes" + "crypto/hmac" + "crypto/rand" + "crypto/sha512" + "errors" + "fmt" + "reflect" +) + +const ( + // FirstHardenedChild is the index of the firxt "harded" child key as per the + // bip32 spec + FirstHardenedChild = uint32(0x80000000) + + // PublicKeyCompressedLength is the byte count of a compressed public key + PublicKeyCompressedLength = 33 +) + +var ( + DefaultBip32Version = Bip32Version{ + // The default bip32 version flag for serialized private keys + []byte{0x04, 0x88, 0xad, 0xe4}, + // The default bip32 version flag for serialized public keys + []byte{0x04, 0x88, 0xb2, 0x1e}, + } + // ErrSerializedKeyWrongSize is returned when trying to deserialize a key that + // has an incorrect length + ErrSerializedKeyWrongSize = errors.New("Serialized keys should by exactly 82 bytes") + + // ErrHardnedChildPublicKey is returned when trying to create a harded child + // of the public key + ErrHardnedChildPublicKey = errors.New("Can't create hardened child for public key") + + // ErrInvalidChecksum is returned when deserializing a key with an incorrect + // checksum + ErrInvalidChecksum = errors.New("Checksum doesn't match") + + // ErrInvalidPrivateKey is returned when a derived private key is invalid + ErrInvalidPrivateKey = errors.New("Invalid private key") + + // ErrInvalidPublicKey is returned when a derived public key is invalid + ErrInvalidPublicKey = errors.New("Invalid public key") +) + +// Key represents a bip32 extended key +type Key struct { + Key []byte // 33 bytes + Version []byte // 4 bytes + ChildNumber []byte // 4 bytes + FingerPrint []byte // 4 bytes + ChainCode []byte // 32 bytes + Depth byte // 1 bytes + IsPrivate bool // unserialized + Bip32Ver Bip32Version //unserialized +} + +type Bip32Version struct { + PrivKeyVersion []byte + PubKeyVersion []byte +} + +func (v Bip32Version) isEmpty() bool { + return len(v.PubKeyVersion)+len(v.PrivKeyVersion) == 0 +} +func (v Bip32Version) IsPrivkeyVersion(privKeyVer []byte) bool { + return reflect.DeepEqual(v.PrivKeyVersion, privKeyVer) +} +func (v Bip32Version) IsPubkeyVersion(pukKeyVer []byte) bool { + return reflect.DeepEqual(v.PubKeyVersion, pukKeyVer) +} + +// NewMasterKey creates a new master extended key from a seed +func NewMasterKey(seed []byte) (*Key, error) { + return NewMasterKey2(seed, DefaultBip32Version) +} + +func NewMasterKey2(seed []byte, version Bip32Version) (*Key, error) { + // Generate key and chaincode + hmac := hmac.New(sha512.New, []byte("Bitcoin seed")) + _, err := hmac.Write(seed) + if err != nil { + return nil, err + } + intermediary := hmac.Sum(nil) + + // Split it into our key and chain code + keyBytes := intermediary[:32] + chainCode := intermediary[32:] + + // Validate key + err = validatePrivateKey(keyBytes) + if err != nil { + return nil, err + } + + if version.isEmpty() { + version = DefaultBip32Version + } + + // Create the key struct + key := &Key{ + Version: version.PrivKeyVersion, + ChainCode: chainCode, + Key: keyBytes, + Depth: 0x0, + ChildNumber: []byte{0x00, 0x00, 0x00, 0x00}, + FingerPrint: []byte{0x00, 0x00, 0x00, 0x00}, + IsPrivate: true, + Bip32Ver: version, + } + + return key, nil +} + +// NewChildKey derives a child key from a given parent as outlined by bip32 +func (key *Key) NewChildKey(childIdx uint32) (*Key, error) { + // Fail early if trying to create hardned child from public key + if !key.IsPrivate && childIdx >= FirstHardenedChild { + return nil, ErrHardnedChildPublicKey + } + + intermediary, err := key.getIntermediary(childIdx) + if err != nil { + return nil, err + } + + // Create child Key with data common to all both scenarios + childKey := &Key{ + ChildNumber: uint32Bytes(childIdx), + ChainCode: intermediary[32:], + Depth: key.Depth + 1, + IsPrivate: key.IsPrivate, + Bip32Ver: key.Bip32Ver, + } + + // Bip32 CKDpriv + if key.IsPrivate { + childKey.Version = key.Bip32Ver.PrivKeyVersion + fingerprint, err := hash160(publicKeyForPrivateKey(key.Key)) + if err != nil { + return nil, err + } + childKey.FingerPrint = fingerprint[:4] + childKey.Key = addPrivateKeys(intermediary[:32], key.Key) + + // Validate key + err = validatePrivateKey(childKey.Key) + if err != nil { + return nil, err + } + // Bip32 CKDpub + } else { + keyBytes := publicKeyForPrivateKey(intermediary[:32]) + + // Validate key + err := validateChildPublicKey(keyBytes) + if err != nil { + return nil, err + } + childKey.Version = key.Bip32Ver.PubKeyVersion + fingerprint, err := hash160(key.Key) + if err != nil { + return nil, err + } + childKey.FingerPrint = fingerprint[:4] + childKey.Key = addPublicKeys(keyBytes, key.Key) + } + + return childKey, nil +} + +func (key *Key) getIntermediary(childIdx uint32) ([]byte, error) { + // Get intermediary to create key and chaincode from + // Hardened children are based on the private key + // NonHardened children are based on the public key + childIndexBytes := uint32Bytes(childIdx) + + var data []byte + if childIdx >= FirstHardenedChild { + data = append([]byte{0x0}, key.Key...) + } else { + if key.IsPrivate { + data = publicKeyForPrivateKey(key.Key) + } else { + data = key.Key + } + } + data = append(data, childIndexBytes...) + + hmac := hmac.New(sha512.New, key.ChainCode) + _, err := hmac.Write(data) + if err != nil { + return nil, err + } + return hmac.Sum(nil), nil +} + +// PublicKey returns the public version of key or return a copy +// The 'Neuter' function from the bip32 spec +func (key *Key) PublicKey() *Key { + keyBytes := key.Key + + if key.IsPrivate { + keyBytes = publicKeyForPrivateKey(keyBytes) + } + + return &Key{ + Version: key.Bip32Ver.PubKeyVersion, + Key: keyBytes, + Depth: key.Depth, + ChildNumber: key.ChildNumber, + FingerPrint: key.FingerPrint, + ChainCode: key.ChainCode, + IsPrivate: false, + Bip32Ver: key.Bip32Ver, + } +} + +// Serialize a Key to a 78 byte byte slice +func (key *Key) Serialize() ([]byte, error) { + // Private keys should be prepended with a single null byte + keyBytes := key.Key + if key.IsPrivate { + keyBytes = append([]byte{0x0}, keyBytes...) + } + + // Write fields to buffer in order + buffer := new(bytes.Buffer) + buffer.Write(key.Version) + buffer.WriteByte(key.Depth) + buffer.Write(key.FingerPrint) + buffer.Write(key.ChildNumber) + buffer.Write(key.ChainCode) + buffer.Write(keyBytes) + + // Append the standard doublesha256 checksum + serializedKey, err := addChecksumToBytes(buffer.Bytes()) + if err != nil { + return nil, err + } + + return serializedKey, nil +} + +// B58Serialize encodes the Key in the standard Bitcoin base58 encoding +func (key *Key) B58Serialize() string { + serializedKey, err := key.Serialize() + if err != nil { + return "" + } + + return base58Encode(serializedKey) +} + +// String encodes the Key in the standard Bitcoin base58 encoding +func (key *Key) String() string { + return key.B58Serialize() +} + +func Deserialize(data []byte) (*Key, error) { + return Deserialize2(data, DefaultBip32Version) +} + +// Deserialize a byte slice into a Key +func Deserialize2(data []byte, version Bip32Version) (*Key, error) { + if len(data) != 82 { + return nil, ErrSerializedKeyWrongSize + } + var key = &Key{} + // check version correct + if version.IsPrivkeyVersion(data[0:4]) || version.IsPubkeyVersion(data[0:4]) { + key.Version = data[0:4] + key.Bip32Ver = version + } else { + return nil, fmt.Errorf("fail to derserilize, unmatched version data %x with {%x,%x}", data[0:4], version.PrivKeyVersion, version.PubKeyVersion) + } + key.Depth = data[4] + key.FingerPrint = data[5:9] + key.ChildNumber = data[9:13] + key.ChainCode = data[13:45] + + if data[45] == byte(0) { + key.IsPrivate = true + key.Key = data[46:78] + } else { + key.IsPrivate = false + key.Key = data[45:78] + } + + // validate checksum + cs1, err := checksum(data[0 : len(data)-4]) + if err != nil { + return nil, err + } + + cs2 := data[len(data)-4:] + for i := range cs1 { + if cs1[i] != cs2[i] { + return nil, ErrInvalidChecksum + } + } + return key, nil +} + +// B58Deserialize deserializes a Key encoded in base58 encoding +func B58Deserialize(data string, version Bip32Version) (*Key, error) { + b, err := base58Decode(data) + if err != nil { + return nil, err + } + return Deserialize2(b, version) +} + +// NewSeed returns a cryptographically secure seed +func NewSeed() ([]byte, error) { + // Well that easy, just make go read 256 random bytes into a slice + s := make([]byte, 256) + _, err := rand.Read(s) + return s, err +} diff --git a/crypto/bip32/bip32_test.go b/crypto/bip32/bip32_test.go new file mode 100644 index 0000000..dd3f5c3 --- /dev/null +++ b/crypto/bip32/bip32_test.go @@ -0,0 +1,261 @@ +package bip32 + +import ( + "encoding/hex" + "testing" + + "github.com/stretchr/testify/assert" +) + +type testMasterKey struct { + seed string + children []testChildKey + privKey string + pubKey string +} + +type testChildKey struct { + pathFragment uint32 + privKey string + pubKey string + hexPubKey string +} + +func TestBip32TestVectors(t *testing.T) { + hStart := FirstHardenedChild + + vector1 := testMasterKey{ + seed: "000102030405060708090a0b0c0d0e0f", + privKey: "xprv9s21ZrQH143K3QTDL4LXw2F7HEK3wJUD2nW2nRk4stbPy6cq3jPPqjiChkVvvNKmPGJxWUtg6LnF5kejMRNNU3TGtRBeJgk33yuGBxrMPHi", + pubKey: "xpub661MyMwAqRbcFtXgS5sYJABqqG9YLmC4Q1Rdap9gSE8NqtwybGhePY2gZ29ESFjqJoCu1Rupje8YtGqsefD265TMg7usUDFdp6W1EGMcet8", + children: []testChildKey{ + { + pathFragment: hStart, + privKey: "xprv9uHRZZhk6KAJC1avXpDAp4MDc3sQKNxDiPvvkX8Br5ngLNv1TxvUxt4cV1rGL5hj6KCesnDYUhd7oWgT11eZG7XnxHrnYeSvkzY7d2bhkJ7", + pubKey: "xpub68Gmy5EdvgibQVfPdqkBBCHxA5htiqg55crXYuXoQRKfDBFA1WEjWgP6LHhwBZeNK1VTsfTFUHCdrfp1bgwQ9xv5ski8PX9rL2dZXvgGDnw", + }, + { + pathFragment: 1, + privKey: "xprv9wTYmMFdV23N2TdNG573QoEsfRrWKQgWeibmLntzniatZvR9BmLnvSxqu53Kw1UmYPxLgboyZQaXwTCg8MSY3H2EU4pWcQDnRnrVA1xe8fs", + pubKey: "xpub6ASuArnXKPbfEwhqN6e3mwBcDTgzisQN1wXN9BJcM47sSikHjJf3UFHKkNAWbWMiGj7Wf5uMash7SyYq527Hqck2AxYysAA7xmALppuCkwQ", + }, + { + pathFragment: 2 + hStart, + privKey: "xprv9z4pot5VBttmtdRTWfWQmoH1taj2axGVzFqSb8C9xaxKymcFzXBDptWmT7FwuEzG3ryjH4ktypQSAewRiNMjANTtpgP4mLTj34bhnZX7UiM", + pubKey: "xpub6D4BDPcP2GT577Vvch3R8wDkScZWzQzMMUm3PWbmWvVJrZwQY4VUNgqFJPMM3No2dFDFGTsxxpG5uJh7n7epu4trkrX7x7DogT5Uv6fcLW5", + }, + { + pathFragment: 2, + privKey: "xprvA2JDeKCSNNZky6uBCviVfJSKyQ1mDYahRjijr5idH2WwLsEd4Hsb2Tyh8RfQMuPh7f7RtyzTtdrbdqqsunu5Mm3wDvUAKRHSC34sJ7in334", + pubKey: "xpub6FHa3pjLCk84BayeJxFW2SP4XRrFd1JYnxeLeU8EqN3vDfZmbqBqaGJAyiLjTAwm6ZLRQUMv1ZACTj37sR62cfN7fe5JnJ7dh8zL4fiyLHV", + }, + { + pathFragment: 1000000000, + privKey: "xprvA41z7zogVVwxVSgdKUHDy1SKmdb533PjDz7J6N6mV6uS3ze1ai8FHa8kmHScGpWmj4WggLyQjgPie1rFSruoUihUZREPSL39UNdE3BBDu76", + pubKey: "xpub6H1LXWLaKsWFhvm6RVpEL9P4KfRZSW7abD2ttkWP3SSQvnyA8FSVqNTEcYFgJS2UaFcxupHiYkro49S8yGasTvXEYBVPamhGW6cFJodrTHy", + }, + }, + } + + vector2 := testMasterKey{ + seed: "fffcf9f6f3f0edeae7e4e1dedbd8d5d2cfccc9c6c3c0bdbab7b4b1aeaba8a5a29f9c999693908d8a8784817e7b7875726f6c696663605d5a5754514e4b484542", + privKey: "xprv9s21ZrQH143K31xYSDQpPDxsXRTUcvj2iNHm5NUtrGiGG5e2DtALGdso3pGz6ssrdK4PFmM8NSpSBHNqPqm55Qn3LqFtT2emdEXVYsCzC2U", + pubKey: "xpub661MyMwAqRbcFW31YEwpkMuc5THy2PSt5bDMsktWQcFF8syAmRUapSCGu8ED9W6oDMSgv6Zz8idoc4a6mr8BDzTJY47LJhkJ8UB7WEGuduB", + children: []testChildKey{ + { + pathFragment: 0, + privKey: "xprv9vHkqa6EV4sPZHYqZznhT2NPtPCjKuDKGY38FBWLvgaDx45zo9WQRUT3dKYnjwih2yJD9mkrocEZXo1ex8G81dwSM1fwqWpWkeS3v86pgKt", + pubKey: "xpub69H7F5d8KSRgmmdJg2KhpAK8SR3DjMwAdkxj3ZuxV27CprR9LgpeyGmXUbC6wb7ERfvrnKZjXoUmmDznezpbZb7ap6r1D3tgFxHmwMkQTPH", + }, + { + pathFragment: 2147483647 + hStart, + privKey: "xprv9wSp6B7kry3Vj9m1zSnLvN3xH8RdsPP1Mh7fAaR7aRLcQMKTR2vidYEeEg2mUCTAwCd6vnxVrcjfy2kRgVsFawNzmjuHc2YmYRmagcEPdU9", + pubKey: "xpub6ASAVgeehLbnwdqV6UKMHVzgqAG8Gr6riv3Fxxpj8ksbH9ebxaEyBLZ85ySDhKiLDBrQSARLq1uNRts8RuJiHjaDMBU4Zn9h8LZNnBC5y4a", + }, + { + pathFragment: 1, + privKey: "xprv9zFnWC6h2cLgpmSA46vutJzBcfJ8yaJGg8cX1e5StJh45BBciYTRXSd25UEPVuesF9yog62tGAQtHjXajPPdbRCHuWS6T8XA2ECKADdw4Ef", + pubKey: "xpub6DF8uhdarytz3FWdA8TvFSvvAh8dP3283MY7p2V4SeE2wyWmG5mg5EwVvmdMVCQcoNJxGoWaU9DCWh89LojfZ537wTfunKau47EL2dhHKon", + }, + { + pathFragment: 2147483646 + hStart, + privKey: "xprvA1RpRA33e1JQ7ifknakTFpgNXPmW2YvmhqLQYMmrj4xJXXWYpDPS3xz7iAxn8L39njGVyuoseXzU6rcxFLJ8HFsTjSyQbLYnMpCqE2VbFWc", + pubKey: "xpub6ERApfZwUNrhLCkDtcHTcxd75RbzS1ed54G1LkBUHQVHQKqhMkhgbmJbZRkrgZw4koxb5JaHWkY4ALHY2grBGRjaDMzQLcgJvLJuZZvRcEL", + }, + { + pathFragment: 2, + privKey: "xprvA2nrNbFZABcdryreWet9Ea4LvTJcGsqrMzxHx98MMrotbir7yrKCEXw7nadnHM8Dq38EGfSh6dqA9QWTyefMLEcBYJUuekgW4BYPJcr9E7j", + pubKey: "xpub6FnCn6nSzZAw5Tw7cgR9bi15UV96gLZhjDstkXXxvCLsUXBGXPdSnLFbdpq8p9HmGsApME5hQTZ3emM2rnY5agb9rXpVGyy3bdW6EEgAtqt", + }, + }, + } + + vector3 := testMasterKey{ + seed: "4b381541583be4423346c643850da4b320e46a87ae3d2a4e6da11eba819cd4acba45d239319ac14f863b8d5ab5a0d0c64d2e8a1e7d1457df2e5a3c51c73235be", + privKey: "xprv9s21ZrQH143K25QhxbucbDDuQ4naNntJRi4KUfWT7xo4EKsHt2QJDu7KXp1A3u7Bi1j8ph3EGsZ9Xvz9dGuVrtHHs7pXeTzjuxBrCmmhgC6", + pubKey: "xpub661MyMwAqRbcEZVB4dScxMAdx6d4nFc9nvyvH3v4gJL378CSRZiYmhRoP7mBy6gSPSCYk6SzXPTf3ND1cZAceL7SfJ1Z3GC8vBgp2epUt13", + children: []testChildKey{ + { + pathFragment: hStart + 0, + privKey: "xprv9uPDJpEQgRQfDcW7BkF7eTya6RPxXeJCqCJGHuCJ4GiRVLzkTXBAJMu2qaMWPrS7AANYqdq6vcBcBUdJCVVFceUvJFjaPdGZ2y9WACViL4L", + pubKey: "xpub68NZiKmJWnxxS6aaHmn81bvJeTESw724CRDs6HbuccFQN9Ku14VQrADWgqbhhTHBaohPX4CjNLf9fq9MYo6oDaPPLPxSb7gwQN3ih19Zm4Y", + }, + }, + } + + testVectorKeyPairs(t, vector1) + testVectorKeyPairs(t, vector2) + testVectorKeyPairs(t, vector3) +} + +func testVectorKeyPairs(t *testing.T, vector testMasterKey) { + // Decode master seed into hex + seed, _ := hex.DecodeString(vector.seed) + + // Generate a master private and public key + privKey, err := NewMasterKey(seed) + assert.NoError(t, err) + + pubKey := privKey.PublicKey() + + assert.Equal(t, vector.privKey, privKey.String()) + assert.Equal(t, vector.pubKey, pubKey.String()) + + // Iterate over the entire child chain and test the given keys + for _, testChildKey := range vector.children { + // Get the private key at the given key tree path + privKey, err = privKey.NewChildKey(testChildKey.pathFragment) + assert.NoError(t, err) + + // Get this private key's public key + pubKey = privKey.PublicKey() + + // Assert correctness + assert.Equal(t, testChildKey.privKey, privKey.String()) + assert.Equal(t, testChildKey.pubKey, pubKey.String()) + + // Serialize and deserialize both keys and ensure they're the same + assertKeySerialization(t, privKey, testChildKey.privKey) + assertKeySerialization(t, pubKey, testChildKey.pubKey) + } +} + +func TestPublicParentPublicChildDerivation(t *testing.T) { + // Generated using https://iancoleman.github.io/bip39/ + // Root key: + // xprv9s21ZrQH143K2Cfj4mDZBcEecBmJmawReGwwoAou2zZzG45bM6cFPJSvobVTCB55L6Ld2y8RzC61CpvadeAnhws3CHsMFhNjozBKGNgucYm + // Derivation Path m/44'/60'/0'/0: + // xprv9zy5o7z1GMmYdaeQdmabWFhUf52Ytbpe3G5hduA4SghboqWe7aDGWseN8BJy1GU72wPjkCbBE1hvbXYqpCecAYdaivxjNnBoSNxwYD4wHpW + // xpub6DxSCdWu6jKqr4isjo7bsPeDD6s3J4YVQV1JSHZg12Eagdqnf7XX4fxqyW2sLhUoFWutL7tAELU2LiGZrEXtjVbvYptvTX5Eoa4Mamdjm9u + extendedMasterPublic, err := B58Deserialize( + "xpub6DxSCdWu6jKqr4isjo7bsPeDD6s3J4YVQV1JSHZg12Eagdqnf7XX4fxqyW2sLhUoFWutL7tAELU2LiGZrEXtjVbvYptvTX5Eoa4Mamdjm9u", + DefaultBip32Version) + assert.NoError(t, err) + + expectedChildren := []testChildKey{ + {pathFragment: 0, hexPubKey: "0243187e1a2ba9ba824f5f81090650c8f4faa82b7baf93060d10b81f4b705afd46"}, + {pathFragment: 1, hexPubKey: "023790d11eb715c4320d8e31fba3a09b700051dc2cdbcce03f44b11c274d1e220b"}, + {pathFragment: 2, hexPubKey: "0302c5749c3c75cea234878ae3f4d8f65b75d584bcd7ed0943b016d6f6b59a2bad"}, + {pathFragment: 3, hexPubKey: "03f0440c94e5b14ea5b15875934597afff541bec287c6e65dc1102cafc07f69699"}, + {pathFragment: 4, hexPubKey: "026419d0d8996707605508ac44c5871edc7fe206a79ef615b74f2eea09c5852e2b"}, + {pathFragment: 5, hexPubKey: "02f63c6f195eea98bdb163c4a094260dea71d264b21234bed4df3899236e6c2298"}, + {pathFragment: 6, hexPubKey: "02d74709cd522081064858f393d009ead5a0ecd43ede3a1f57befcc942025cb5f9"}, + {pathFragment: 7, hexPubKey: "03e54bb92630c943d38bbd8a4a2e65fca7605e672d30a0e545a7198cbb60729ceb"}, + {pathFragment: 8, hexPubKey: "027e9d5acd14d39c4938697fba388cd2e8f31fc1c5dc02fafb93a10a280de85199"}, + {pathFragment: 9, hexPubKey: "02a167a9f0d57468fb6abf2f3f7967e2cadf574314753a06a9ef29bc76c54638d2"}, + + {pathFragment: 100, hexPubKey: "020db9ba00ddf68428e3f5bfe54252bbcd75b21e42f51bf3bfc4172bf0e5fa7905"}, + {pathFragment: 101, hexPubKey: "0299e3790956570737d6164e6fcda5a3daa304065ca95ba46bc73d436b84f34d46"}, + {pathFragment: 102, hexPubKey: "0202e0732c4c5d2b1036af173640e01957998cfd4f9cdaefab6ffe76eb869e2c59"}, + {pathFragment: 103, hexPubKey: "03d050adbd996c0c5d737ff638402dfbb8c08e451fef10e6d62fb57887c1ac6cb2"}, + {pathFragment: 104, hexPubKey: "038d466399e2d68b4b16043ad4d88893b3b2f84fc443368729a973df1e66f4f530"}, + {pathFragment: 105, hexPubKey: "034811e2f0c8c50440c08c2c9799b99c911c036e877e8325386ff61723ae3ffdce"}, + {pathFragment: 106, hexPubKey: "026339fd5842921888e711a6ba9104a5f0c94cc0569855273cf5faefdfbcd3cc29"}, + {pathFragment: 107, hexPubKey: "02833705c1069fab2aa92c6b0dac27807290d72e9f52378d493ac44849ca003b22"}, + {pathFragment: 108, hexPubKey: "032d2639bde1eb7bdf8444bd4f6cc26a9d1bdecd8ea15fac3b992c3da68d9d1df5"}, + {pathFragment: 109, hexPubKey: "02479c6d4a64b93a2f4343aa862c938fbc658c99219dd7bebb4830307cbd76c9e9"}, + } + + for _, child := range expectedChildren { + pubKey, err := extendedMasterPublic.NewChildKey(child.pathFragment) + assert.NoError(t, err) + assert.False(t, pubKey.IsPrivate) + assert.Equal(t, child.hexPubKey, hex.EncodeToString(pubKey.Key)) + } +} + +func TestNewSeed(t *testing.T) { + for i := 0; i < 20; i++ { + seed, err := NewSeed() + assert.NoError(t, err) + assert.Equal(t, 256, len(seed)) + } +} + +func TestB58SerializeUnserialize(t *testing.T) { + tests := []struct { + seed []byte + base58 string + }{ + {[]byte{}, "xprv9s21ZrQH143K4YUcKrp6cVxQaX59ZFkN6MFdeZjt8CHVYNs55xxQSvZpHWfojWMv6zgjmzopCyWPSFAnV4RU33J4pwCcnhsB4R4mPEnTsMC"}, + {[]byte{1}, "xprv9s21ZrQH143K3YSbAXLMPCzJso5QAarQksAGc5rQCyZCBfw4Rj2PqVLFNgezSBhktYkiL3Ta2stLPDF9yZtLMaxk6Spiqh3DNFG8p8MVeEC"}, + {[]byte{1, 2, 3, 4, 5, 6, 7, 8, 9, 0}, "xprv9s21ZrQH143K2hKT3jMKPFEcQLbx2XD55NtqQA7B4C5U9mTZY7gBeCdoFgurN4pxkQshzP8AQhBmUNgAo5djj5FzvUFh5pKH6wcRMSXVuc1"}, + } + + for _, test := range tests { + key, err := NewMasterKey(test.seed) + assert.NoError(t, err) + assertKeySerialization(t, key, test.base58) + } +} + +func TestDeserializingInvalidStrings(t *testing.T) { + tests := []struct { + err error + base58 string + }{ + {ErrSerializedKeyWrongSize, "xprv9s21ZrQH143K4YUcKrp6cVxQaX59ZFkN6MFdeZjt8CHVYNs55xxQSvZpHWfojWMv6zgjmzopCyWPSFAnV4RU33J4pwCcnhsB4R4mPEnTsM"}, + {ErrInvalidChecksum, "xprv9s21ZrQH143K3YSbAXLMPCzJso5QAarQksAGc5rQCyZCBfw4Rj2PqVLFNgezSBhktYkiL3Ta2stLPDF9yZtLMaxk6Spiqh3DNFG8p8MVeEc"}, + } + + for _, test := range tests { + _, err := B58Deserialize(test.base58, DefaultBip32Version) + assert.Equal(t, test.err, err) + } + + _, err := B58Deserialize("notbase58iiiiiIIIIIbAXLMPCzJso5QAarQksAGc5rQCyZCBfw4Rj2PqVLFNgezSBhktYkiL3Ta2stLPDF9yZtLMaxk6Spiqh3DNFG8p8MVeEc", + DefaultBip32Version) + assert.NotNil(t, err) +} + +func TestCantCreateHardenedPublicChild(t *testing.T) { + key, err := NewMasterKey([]byte{}) + assert.NoError(t, err) + + // Test that it works for private keys + _, err = key.NewChildKey(FirstHardenedChild - 1) + assert.NoError(t, err) + _, err = key.NewChildKey(FirstHardenedChild) + assert.NoError(t, err) + _, err = key.NewChildKey(FirstHardenedChild + 1) + assert.NoError(t, err) + + // Test that it throws an error for public keys if hardened + key = key.PublicKey() + + _, err = key.NewChildKey(FirstHardenedChild - 1) + assert.NoError(t, err) + _, err = key.NewChildKey(FirstHardenedChild) + assert.Equal(t, ErrHardnedChildPublicKey, err) + _, err = key.NewChildKey(FirstHardenedChild + 1) + assert.Equal(t, ErrHardnedChildPublicKey, err) +} + +func assertKeySerialization(t *testing.T, key *Key, knownBase58 string) { + serializedBase58 := key.B58Serialize() + assert.Equal(t, knownBase58, serializedBase58) + + unserializedBase58, err := B58Deserialize(serializedBase58, DefaultBip32Version) + assert.NoError(t, err) + assert.Equal(t, key, unserializedBase58) +} diff --git a/crypto/bip32/hd.go b/crypto/bip32/hd.go new file mode 100644 index 0000000..1ba8c02 --- /dev/null +++ b/crypto/bip32/hd.go @@ -0,0 +1,7 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package bip32 diff --git a/crypto/bip32/utils.go b/crypto/bip32/utils.go new file mode 100644 index 0000000..4a1b7b4 --- /dev/null +++ b/crypto/bip32/utils.go @@ -0,0 +1,197 @@ +package bip32 + +import ( + "bytes" + "crypto/sha256" + "encoding/binary" + "fmt" + "github.com/Qitmeer/qng-core/common/encode/base58" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" + "golang.org/x/crypto/ripemd160" + "io" + "math/big" +) + +var ( + curve = secp256k1.S256() + curveParams = curve.Params() +) + +// +// Hashes +// + +func hashSha256(data []byte) ([]byte, error) { + hasher := sha256.New() + _, err := hasher.Write(data) + if err != nil { + return nil, err + } + return hasher.Sum(nil), nil +} + +func hashDoubleSha256(data []byte) ([]byte, error) { + hash1, err := hashSha256(data) + if err != nil { + return nil, err + } + + hash2, err := hashSha256(hash1) + if err != nil { + return nil, err + } + return hash2, nil +} + +func hashRipeMD160(data []byte) ([]byte, error) { + hasher := ripemd160.New() + _, err := io.WriteString(hasher, string(data)) + if err != nil { + return nil, err + } + return hasher.Sum(nil), nil +} + +func hash160(data []byte) ([]byte, error) { + hash1, err := hashSha256(data) + if err != nil { + return nil, err + } + + hash2, err := hashRipeMD160(hash1) + if err != nil { + return nil, err + } + + return hash2, nil +} + +// +// Encoding +// + +func checksum(data []byte) ([]byte, error) { + hash, err := hashDoubleSha256(data) + if err != nil { + return nil, err + } + + return hash[:4], nil +} + +func addChecksumToBytes(data []byte) ([]byte, error) { + checksum, err := checksum(data) + if err != nil { + return nil, err + } + return append(data, checksum...), nil +} + +func base58Encode(data []byte) string { + enc, _ := base58.Encode(data) + return string(enc) +} + +func base58Decode(data string) ([]byte, error) { + result := base58.Decode([]byte(data)) + return result, nil +} + +// Keys +func publicKeyForPrivateKey(key []byte) []byte { + return compressPublicKey(curve.ScalarBaseMult(key)) +} + +func addPublicKeys(key1 []byte, key2 []byte) []byte { + x1, y1 := expandPublicKey(key1) + x2, y2 := expandPublicKey(key2) + return compressPublicKey(curve.Add(x1, y1, x2, y2)) +} + +func addPrivateKeys(key1 []byte, key2 []byte) []byte { + var key1Int big.Int + var key2Int big.Int + key1Int.SetBytes(key1) + key2Int.SetBytes(key2) + + key1Int.Add(&key1Int, &key2Int) + key1Int.Mod(&key1Int, curve.Params().N) + + b := key1Int.Bytes() + if len(b) < 32 { + extra := make([]byte, 32-len(b)) + b = append(extra, b...) + } + return b +} + +func compressPublicKey(x *big.Int, y *big.Int) []byte { + var key bytes.Buffer + + // Write header; 0x2 for even y value; 0x3 for odd + key.WriteByte(byte(0x2) + byte(y.Bit(0))) + + // Write X coord; Pad the key so x is aligned with the LSB. Pad size is key length - header size (1) - xBytes size + xBytes := x.Bytes() + for i := 0; i < (PublicKeyCompressedLength - 1 - len(xBytes)); i++ { + key.WriteByte(0x0) + } + key.Write(xBytes) + + return key.Bytes() +} + +// As described at https://crypto.stackexchange.com/a/8916 +func expandPublicKey(key []byte) (*big.Int, *big.Int) { + Y := big.NewInt(0) + X := big.NewInt(0) + X.SetBytes(key[1:]) + + // y^2 = x^3 + ax^2 + b + // a = 0 + // => y^2 = x^3 + b + ySquared := big.NewInt(0) + ySquared.Exp(X, big.NewInt(3), nil) + ySquared.Add(ySquared, curveParams.B) + + Y.ModSqrt(ySquared, curveParams.P) + + Ymod2 := big.NewInt(0) + Ymod2.Mod(Y, big.NewInt(2)) + + signY := uint64(key[0]) - 2 + if signY != Ymod2.Uint64() { + Y.Sub(curveParams.P, Y) + } + + return X, Y +} + +func validatePrivateKey(key []byte) error { + if fmt.Sprintf("%x", key) == "0000000000000000000000000000000000000000000000000000000000000000" || //if the key is zero + bytes.Compare(key, curveParams.N.Bytes()) >= 0 || //or is outside of the curve + len(key) != 32 { //or is too short + return ErrInvalidPrivateKey + } + + return nil +} + +func validateChildPublicKey(key []byte) error { + x, y := expandPublicKey(key) + + if x.Sign() == 0 || y.Sign() == 0 { + return ErrInvalidPublicKey + } + + return nil +} + +// +// Numerical +// +func uint32Bytes(i uint32) []byte { + bytes := make([]byte, 4) + binary.BigEndian.PutUint32(bytes, i) + return bytes +} diff --git a/crypto/bip39/LICENSE b/crypto/bip39/LICENSE new file mode 100644 index 0000000..4dae82d --- /dev/null +++ b/crypto/bip39/LICENSE @@ -0,0 +1,21 @@ +The MIT License (MIT) + +Copyright (c) 2014-2018 Tyler Smith and contributors + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in all +copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. diff --git a/crypto/bip39/README.md b/crypto/bip39/README.md new file mode 100644 index 0000000..933296f --- /dev/null +++ b/crypto/bip39/README.md @@ -0,0 +1,45 @@ +# go-bip39 +[![Build Status](https://travis-ci.org/tyler-smith/go-bip39.svg?branch=master)](https://travis-ci.org/tyler-smith/go-bip39) +[![license](https://img.shields.io/github/license/tyler-smith/go-bip39.svg?maxAge=2592000)](https://github.com/tyler-smith/go-bip39/blob/master/LICENSE) +[![Documentation](https://godoc.org/github.com/tyler-smith/go-bip39?status.svg)](http://godoc.org/github.com/tyler-smith/go-bip39) +[![Go Report Card](https://goreportcard.com/badge/github.com/tyler-smith/go-bip39)](https://goreportcard.com/report/github.com/tyler-smith/go-bip39) +[![GitHub issues](https://img.shields.io/github/issues/tyler-smith/go-bip39.svg)](https://github.com/tyler-smith/go-bip39/issues) + + +A golang implementation of the BIP0039 spec for mnemonic seeds + +## Example + +```go +package main + +import ( + "github.com/tyler-smith/go-bip39" + "github.com/tyler-smith/go-bip32" + "fmt" +) + +func main(){ + // Generate a mnemonic for memorization or user-friendly seeds + entropy, _ := bip39.NewEntropy(256) + mnemonic, _ := bip39.NewMnemonic(entropy) + + // Generate a Bip32 HD wallet for the mnemonic and a user supplied password + seed := bip39.NewSeed(mnemonic, "Secret Passphrase") + + masterKey, _ := bip32.NewMasterKey(seed) + publicKey := masterKey.PublicKey() + + // Display mnemonic and keys + fmt.Println("Mnemonic: ", mnemonic) + fmt.Println("Master private key: ", masterKey) + fmt.Println("Master public key: ", publicKey) +} +``` + +## Credits + +Wordlists are from the [bip39 spec](https://github.com/bitcoin/bips/tree/master/bip-0039). + +Test vectors are from the standard Python BIP0039 implementation from the +Trezor team: [https://github.com/trezor/python-mnemonic](https://github.com/trezor/python-mnemonic) diff --git a/crypto/bip39/bip39.go b/crypto/bip39/bip39.go new file mode 100644 index 0000000..e81ec82 --- /dev/null +++ b/crypto/bip39/bip39.go @@ -0,0 +1,364 @@ +// Package bip39 is the official Golang implementation of the BIP39 spec. +// +// The official BIP39 spec can be found at +// https://github.com/bitcoin/bips/blob/master/bip-0039.mediawiki +package bip39 + +import ( + "crypto/rand" + "crypto/sha256" + "crypto/sha512" + "encoding/binary" + "errors" + "fmt" + "math/big" + "strings" + + "github.com/Qitmeer/qng-core/crypto/bip39/wordlists" + "golang.org/x/crypto/pbkdf2" +) + +var ( + // Some bitwise operands for working with big.Ints + last11BitsMask = big.NewInt(2047) + rightShift11BitsDivider = big.NewInt(2048) + bigOne = big.NewInt(1) + bigTwo = big.NewInt(2) + + // used to isolate the checksum bits from the entropy+checksum byte array + wordLengthChecksumMasksMapping = map[int]*big.Int{ + 12: big.NewInt(15), + 15: big.NewInt(31), + 18: big.NewInt(63), + 21: big.NewInt(127), + 24: big.NewInt(255), + } + // used to use only the desired x of 8 available checksum bits. + // 256 bit (word length 24) requires all 8 bits of the checksum, + // and thus no shifting is needed for it (we would get a divByZero crash if we did) + wordLengthChecksumShiftMapping = map[int]*big.Int{ + 12: big.NewInt(16), + 15: big.NewInt(8), + 18: big.NewInt(4), + 21: big.NewInt(2), + } + + // wordList is the set of words to use + wordList []string + + // wordMap is a reverse lookup map for wordList + wordMap map[string]int +) + +var ( + // ErrInvalidMnemonic is returned when trying to use a malformed mnemonic. + ErrInvalidMnemonic = errors.New("Invalid menomic") + + // ErrEntropyLengthInvalid is returned when trying to use an entropy set with + // an invalid size. + ErrEntropyLengthInvalid = errors.New("Entropy length must be [128, 256] and a multiple of 32") + + // ErrValidatedSeedLengthMismatch is returned when a validated seed is not the + // same size as the given seed. This should never happen is present only as a + // sanity assertion. + ErrValidatedSeedLengthMismatch = errors.New("Seed length does not match validated seed length") + + // ErrChecksumIncorrect is returned when entropy has the incorrect checksum. + ErrChecksumIncorrect = errors.New("Checksum incorrect") +) + +func init() { + SetWordList(wordlists.English) +} + +// SetWordList sets the list of words to use for mnemonics. Currently the list +// that is set is used package-wide. +func SetWordList(list []string) { + wordList = list + wordMap = map[string]int{} + for i, v := range wordList { + wordMap[v] = i + } +} + +// NewEntropy will create random entropy bytes +// so long as the requested size bitSize is an appropriate size. +// +// bitSize has to be a multiple 32 and be within the inclusive range of {128, 256} +func NewEntropy(bitSize int) ([]byte, error) { + err := validateEntropyBitSize(bitSize) + if err != nil { + return nil, err + } + + entropy := make([]byte, bitSize/8) + _, err = rand.Read(entropy) + return entropy, err +} + +// EntropyFromMnemonic takes a mnemonic generated by this library, +// and returns the input entropy used to generate the given mnemonic. +// An error is returned if the given mnemonic is invalid. +func EntropyFromMnemonic(mnemonic string) ([]byte, error) { + mnemonicSlice, isValid := splitMnemonicWords(mnemonic) + if !isValid { + return nil, errors.New("Invalid mnemonic") + } + + b := big.NewInt(0) + for _, v := range mnemonicSlice { + index, found := wordMap[v] + if !found { + return nil, fmt.Errorf("word `%v` not found in reverse map", v) + } + var wordBytes [2]byte + binary.BigEndian.PutUint16(wordBytes[:], uint16(index)) + b = b.Mul(b, rightShift11BitsDivider) + b = b.Or(b, big.NewInt(0).SetBytes(wordBytes[:])) + } + + checksum := big.NewInt(0) + checksumMask := wordLengthChecksumMasksMapping[len(mnemonicSlice)] + checksum = checksum.And(b, checksumMask) + + b.Div(b, big.NewInt(0).Add(checksumMask, bigOne)) + entropy := b.Bytes() + // pad entropy if needed + entropy = padByteSlice(entropy, len(mnemonicSlice)/3*4) + + // generate the checksum once again, mask and ensure it equals the checksum we got from the mneomnic + entropyChecksumBytes := computeChecksum(entropy) + entropyChecksum := big.NewInt(int64(entropyChecksumBytes[0])) + if l := len(mnemonicSlice); l != 24 { + checksumShift := wordLengthChecksumShiftMapping[l] + entropyChecksum.Div(entropyChecksum, checksumShift) + } + + if checksum.Cmp(entropyChecksum) != 0 { + return nil, errors.New("mnemonic's entropy doesn't match its checksum") + } + + // return (padded) entropy + return entropy, nil +} + +// NewMnemonic will return a string consisting of the mnemonic words for +// the given entropy. +// If the provide entropy is invalid, an error will be returned. +func NewMnemonic(entropy []byte) (string, error) { + // Compute some lengths for convenience + entropyBitLength := len(entropy) * 8 + checksumBitLength := entropyBitLength / 32 + sentenceLength := (entropyBitLength + checksumBitLength) / 11 + + err := validateEntropyBitSize(entropyBitLength) + if err != nil { + return "", err + } + + // Add checksum to entropy + entropy = addChecksum(entropy) + + // Break entropy up into sentenceLength chunks of 11 bits + // For each word AND mask the rightmost 11 bits and find the word at that index + // Then bitshift entropy 11 bits right and repeat + // Add to the last empty slot so we can work with LSBs instead of MSB + + // Entropy as an int so we can bitmask without worrying about bytes slices + entropyInt := new(big.Int).SetBytes(entropy) + + // Slice to hold words in + words := make([]string, sentenceLength) + + // Throw away big int for AND masking + word := big.NewInt(0) + + for i := sentenceLength - 1; i >= 0; i-- { + // Get 11 right most bits and bitshift 11 to the right for next time + word.And(entropyInt, last11BitsMask) + entropyInt.Div(entropyInt, rightShift11BitsDivider) + + // Get the bytes representing the 11 bits as a 2 byte slice + wordBytes := padByteSlice(word.Bytes(), 2) + + // Convert bytes to an index and add that word to the list + words[i] = wordList[binary.BigEndian.Uint16(wordBytes)] + } + + return strings.Join(words, " "), nil +} + +// MnemonicToByteArray takes a mnemonic string and turns it into a byte array +// suitable for creating another mnemonic. +// An error is returned if the mnemonic is invalid. +func MnemonicToByteArray(mnemonic string, raw ...bool) ([]byte, error) { + var ( + mnemonicSlice = strings.Split(mnemonic, " ") + entropyBitSize = len(mnemonicSlice) * 11 + checksumBitSize = entropyBitSize % 32 + fullByteSize = (entropyBitSize-checksumBitSize)/8 + 1 + checksumByteSize = fullByteSize - (fullByteSize % 4) + ) + + // Pre validate that the mnemonic is well formed and only contains words that + // are present in the word list + if !IsMnemonicValid(mnemonic) { + return nil, ErrInvalidMnemonic + } + + // Convert word indices to a `big.Int` representing the entropy + checksummedEntropy := big.NewInt(0) + modulo := big.NewInt(2048) + for _, v := range mnemonicSlice { + index := big.NewInt(int64(wordMap[v])) + checksummedEntropy.Mul(checksummedEntropy, modulo) + checksummedEntropy.Add(checksummedEntropy, index) + } + + // Calculate the unchecksummed entropy so we can validate that the checksum is + // correct + checksumModulo := big.NewInt(0).Exp(bigTwo, big.NewInt(int64(checksumBitSize)), nil) + rawEntropy := big.NewInt(0).Div(checksummedEntropy, checksumModulo) + + // Convert `big.Int`s to byte padded byte slices + rawEntropyBytes := padByteSlice(rawEntropy.Bytes(), checksumByteSize) + checksummedEntropyBytes := padByteSlice(checksummedEntropy.Bytes(), fullByteSize) + + // Validate that the checksum is correct + newChecksummedEntropyBytes := padByteSlice(addChecksum(rawEntropyBytes), fullByteSize) + if !compareByteSlices(checksummedEntropyBytes, newChecksummedEntropyBytes) { + return nil, ErrChecksumIncorrect + } + + if raw == nil { + return checksummedEntropyBytes, nil + } + if raw[0] { + return rawEntropyBytes, nil + } + return checksummedEntropyBytes, nil +} + +// NewSeedWithErrorChecking creates a hashed seed output given the mnemonic string and a password. +// An error is returned if the mnemonic is not convertible to a byte array. +func NewSeedWithErrorChecking(mnemonic string, password string) ([]byte, error) { + _, err := MnemonicToByteArray(mnemonic) + if err != nil { + return nil, err + } + return NewSeed(mnemonic, password), nil +} + +// NewSeed creates a hashed seed output given a provided string and password. +// No checking is performed to validate that the string provided is a valid mnemonic. +// NOTE: the mnemonic is the passphrase prefix +func NewSeed(mnemonic string, password string) []byte { + return pbkdf2.Key([]byte(mnemonic), []byte("mnemonic"+password), 2048, 64, sha512.New) +} + +// IsMnemonicValid attempts to verify that the provided mnemonic is valid. +// Validity is determined by both the number of words being appropriate, +// and that all the words in the mnemonic are present in the word list. +func IsMnemonicValid(mnemonic string) bool { + // Create a list of all the words in the mnemonic sentence + words := strings.Fields(mnemonic) + + // Get word count + wordCount := len(words) + + // The number of words should be 12, 15, 18, 21 or 24 + if wordCount%3 != 0 || wordCount < 12 || wordCount > 24 { + return false + } + + // Check if all words belong in the wordlist + for _, word := range words { + if _, ok := wordMap[word]; !ok { + return false + } + } + + return true +} + +// Appends to data the first (len(data) / 32)bits of the result of sha256(data) +// Currently only supports data up to 32 bytes +func addChecksum(data []byte) []byte { + // Get first byte of sha256 + hash := computeChecksum(data) + firstChecksumByte := hash[0] + + // len() is in bytes so we divide by 4 + checksumBitLength := uint(len(data) / 4) + + // For each bit of check sum we want we shift the data one the left + // and then set the (new) right most bit equal to checksum bit at that index + // staring from the left + dataBigInt := new(big.Int).SetBytes(data) + for i := uint(0); i < checksumBitLength; i++ { + // Bitshift 1 left + dataBigInt.Mul(dataBigInt, bigTwo) + + // Set rightmost bit if leftmost checksum bit is set + if uint8(firstChecksumByte&(1<<(7-i))) > 0 { + dataBigInt.Or(dataBigInt, bigOne) + } + } + + return dataBigInt.Bytes() +} + +func computeChecksum(data []byte) []byte { + hasher := sha256.New() + hasher.Write(data) + return hasher.Sum(nil) +} + +// validateEntropyBitSize ensures that entropy is the correct size for being a +// mnemonic. +func validateEntropyBitSize(bitSize int) error { + if (bitSize%32) != 0 || bitSize < 128 || bitSize > 256 { + return ErrEntropyLengthInvalid + } + return nil +} + +// padByteSlice returns a byte slice of the given size with contents of the +// given slice left padded and any empty spaces filled with 0's. +func padByteSlice(slice []byte, length int) []byte { + offset := length - len(slice) + if offset <= 0 { + return slice + } + newSlice := make([]byte, length) + copy(newSlice[offset:], slice) + return newSlice +} + +// compareByteSlices returns true of the byte slices have equal contents and +// returns false otherwise. +func compareByteSlices(a, b []byte) bool { + if len(a) != len(b) { + return false + } + for i := range a { + if a[i] != b[i] { + return false + } + } + return true +} + +func splitMnemonicWords(mnemonic string) ([]string, bool) { + // Create a list of all the words in the mnemonic sentence + words := strings.Fields(mnemonic) + + //Get num of words + numOfWords := len(words) + + // The number of words should be 12, 15, 18, 21 or 24 + if numOfWords%3 != 0 || numOfWords < 12 || numOfWords > 24 { + return nil, false + } + return words, true +} diff --git a/crypto/bip39/bip39_test.go b/crypto/bip39/bip39_test.go new file mode 100644 index 0000000..a12b941 --- /dev/null +++ b/crypto/bip39/bip39_test.go @@ -0,0 +1,441 @@ +package bip39 + +import ( + "crypto/rand" + "encoding/hex" + "testing" +) + +type vector struct { + entropy string + mnemonic string + seed string +} + +func TestNewMnemonic(t *testing.T) { + for _, vector := range testVectors() { + entropy, err := hex.DecodeString(vector.entropy) + assertNil(t, err) + + mnemonic, err := NewMnemonic(entropy) + assertNil(t, err) + assertEqualString(t, vector.mnemonic, mnemonic) + + _, err = NewSeedWithErrorChecking(mnemonic, "TREZOR") + assertNil(t, err) + + seed := NewSeed(mnemonic, "TREZOR") + assertEqualString(t, vector.seed, hex.EncodeToString(seed)) + } +} + +func TestNewMnemonicInvalidEntropy(t *testing.T) { + _, err := NewMnemonic([]byte{}) + assertNotNil(t, err) +} + +func TestNewSeedWithErrorCheckingInvalidMnemonics(t *testing.T) { + for _, vector := range badMnemonicSentences() { + _, err := NewSeedWithErrorChecking(vector.mnemonic, "TREZOR") + assertNotNil(t, err) + } +} + +func TestIsMnemonicValid(t *testing.T) { + for _, vector := range badMnemonicSentences() { + assertFalse(t, IsMnemonicValid(vector.mnemonic)) + } + + for _, vector := range testVectors() { + assertTrue(t, IsMnemonicValid(vector.mnemonic)) + } +} + +func TestInvalidMnemonicFails(t *testing.T) { + for _, vector := range badMnemonicSentences() { + _, err := MnemonicToByteArray(vector.mnemonic) + assertNotNil(t, err) + } + + _, err := MnemonicToByteArray("abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon yellow") + assertNotNil(t, err) + assertEqual(t, err, ErrChecksumIncorrect) +} + +func TestNewEntropy(t *testing.T) { + // Good tests. + for i := 128; i <= 256; i += 32 { + _, err := NewEntropy(i) + assertNil(t, err) + } + // Bad Values + for i := 0; i <= 256; i++ { + if i%8 != 0 { + _, err := NewEntropy(i) + assertNotNil(t, err) + } + } +} + +func TestMnemonicToByteArrayForDifferentArrayLangths(t *testing.T) { + max := 1000 + for i := 0; i < max; i++ { + //16, 20, 24, 28, 32 + length := 16 + (i%5)*4 + seed := make([]byte, length) + if n, err := rand.Read(seed); err != nil { + t.Errorf("%v", err) + } else if n != length { + t.Errorf("Wrong number of bytes read: %d", n) + } + + mnemonic, err := NewMnemonic(seed) + if err != nil { + t.Errorf("%v", err) + } + + _, err = MnemonicToByteArray(mnemonic) + if err != nil { + t.Errorf("Failed for %x - %v", seed, mnemonic) + } + } +} +func TestPadByteSlice(t *testing.T) { + assertEqualByteSlices(t, []byte{0}, padByteSlice([]byte{}, 1)) + assertEqualByteSlices(t, []byte{0, 1}, padByteSlice([]byte{1}, 2)) + assertEqualByteSlices(t, []byte{1, 1}, padByteSlice([]byte{1, 1}, 2)) + assertEqualByteSlices(t, []byte{1, 1, 1}, padByteSlice([]byte{1, 1, 1}, 2)) +} + +func TestCompareByteSlices(t *testing.T) { + assertTrue(t, compareByteSlices([]byte{}, []byte{})) + assertTrue(t, compareByteSlices([]byte{1}, []byte{1})) + assertFalse(t, compareByteSlices([]byte{1}, []byte{0})) + assertFalse(t, compareByteSlices([]byte{1}, []byte{})) + assertFalse(t, compareByteSlices([]byte{1}, nil)) +} + +func assertNil(t *testing.T, object interface{}) { + if object != nil { + t.Errorf("Expected nil, got %v", object) + } +} + +func assertNotNil(t *testing.T, object interface{}) { + if object == nil { + t.Error("Expected not nil") + } +} + +func assertTrue(t *testing.T, a bool) { + if !a { + t.Error("Expected true, got false") + } +} + +func assertFalse(t *testing.T, a bool) { + if a { + t.Error("Expected false, got true") + } +} + +func assertEqual(t *testing.T, a, b interface{}) { + if a != b { + t.Errorf("Objects not equal, expected `%s` and got `%s`", a, b) + } +} + +func assertEqualString(t *testing.T, a, b string) { + if a != b { + t.Errorf("Strings not equal, expected `%s` and got `%s`", a, b) + } +} + +func assertEqualByteSlices(t *testing.T, a, b []byte) { + if len(a) != len(b) { + t.Errorf("Byte slices not equal, expected %v and got %v", a, b) + return + } + for i := range a { + if a[i] != b[i] { + t.Errorf("Byte slices not equal, expected %v and got %v", a, b) + return + } + } +} + +func TestMnemonicToByteArrayForZeroLeadingSeeds(t *testing.T) { + ms := []string{ + "00000000000000000000000000000000", + "00a84c51041d49acca66e6160c1fa999", + "00ca45df1673c76537a2020bfed1dafd", + "0019d5871c7b81fd83d474ef1c1e1dae", + "00dcb021afb35ffcdd1d032d2056fc86", + "0062be7bd09a27288b6cf0eb565ec739", + "00dc705b5efa0adf25b9734226ba60d4", + "0017747418d54c6003fa64fade83374b", + "000d44d3ee7c3dfa45e608c65384431b", + "008241c1ef976b0323061affe5bf24b9", + "00a6aec77e4d16bea80b50a34991aaba", + "0011527b8c6ddecb9d0c20beccdeb58d", + "001c938c503c8f5a2bba2248ff621546", + "0002f90aaf7a8327698f0031b6317c36", + "00bff43071ed7e07f77b14f615993bac", + "00da143e00ef17fc63b6fb22dcc2c326", + "00ffc6764fb32a354cab1a3ddefb015d", + "0062ef47e0985e8953f24760b7598cdd", + "003bf9765064f71d304908d906c065f5", + "00993851503471439d154b3613947474", + "007ad0ffe9eae753a483a76af06dfa67", + "00091824db9ec19e663bee51d64c83cc", + "00f48ac621f7e3cb39b2012ac3121543", + "0072917415cdca24dfa66c4a92c885b4", + "0027ced2b279ea8a91d29364487cdbf4", + "00b9c0d37fb10ba272e55842ad812583", + "004b3d0d2b9285946c687a5350479c8c", + "00c7c12a37d3a7f8c1532b17c89b724c", + "00f400c5545f06ae17ad00f3041e4e26", + "001e290be10df4d209f247ac5878662b", + "00bf0f74568e582a7dd1ee64f792ec8b", + "00d2e43ecde6b72b847db1539ed89e23", + "00cecba6678505bb7bfec8ed307251f6", + "000aeed1a9edcbb4bc88f610d3ce84eb", + "00d06206aadfc25c2b21805d283f15ae", + "00a31789a2ab2d54f8fadd5331010287", + "003493c5f520e8d5c0483e895a121dc9", + "004706112800b76001ece2e268bc830e", + "00ab31e28bb5305be56e38337dbfa486", + "006872fe85df6b0fa945248e6f9379d1", + "00717e5e375da6934e3cfdf57edaf3bd", + "007f1b46e7b9c4c76e77c434b9bccd6b", + "00dc93735aa35def3b9a2ff676560205", + "002cd5dcd881a49c7b87714c6a570a76", + "0013b5af9e13fac87e0c505686cfb6bf", + "007ab1ec9526b0bc04b64ae65fd42631", + "00abb4e11d8385c1cca905a6a65e9144", + "00574fc62a0501ad8afada2e246708c3", + "005207e0a815bb2da6b4c35ec1f2bf52", + "00f3460f136fb9700080099cbd62bc18", + "007a591f204c03ca7b93981237112526", + "00cfe0befd428f8e5f83a5bfc801472e", + "00987551ac7a879bf0c09b8bc474d9af", + "00cadd3ce3d78e49fbc933a85682df3f", + "00bfbf2e346c855ccc360d03281455a1", + "004cdf55d429d028f715544ce22d4f31", + "0075c84a7d15e0ac85e1e41025eed23b", + "00807dddd61f71725d336cab844d2cb5", + "00422f21b77fe20e367467ed98c18410", + "00b44d0ac622907119c626c850a462fd", + "00363f5e7f22fc49f3cd662a28956563", + "000fe5837e68397bbf58db9f221bdc4e", + "0056af33835c888ef0c22599686445d3", + "00790a8647fd3dfb38b7e2b6f578f2c6", + "00da8d9009675cb7beec930e263014fb", + "00d4b384540a5bb54aa760edaa4fb2fe", + "00be9b1479ed680fdd5d91a41eb926d0", + "009182347502af97077c40a6e74b4b5c", + "00f5c90ee1c67fa77fd821f8e9fab4f1", + "005568f9a2dd6b0c0cc2f5ba3d9cac38", + "008b481f8678577d9cf6aa3f6cd6056b", + "00c4323ece5e4fe3b6cd4c5c932931af", + "009791f7550c3798c5a214cb2d0ea773", + "008a7baab22481f0ad8167dd9f90d55c", + "00f0e601519aafdc8ff94975e64c946d", + "0083b61e0daa9219df59d697c270cd31", + } + + for _, m := range ms { + seed, _ := hex.DecodeString(m) + + mnemonic, err := NewMnemonic(seed) + if err != nil { + t.Errorf("%v", err) + } + + _, err = MnemonicToByteArray(mnemonic) + if err != nil { + t.Errorf("Failed for %x - %v", seed, mnemonic) + } + } +} + +func badMnemonicSentences() []vector { + return []vector{ + {mnemonic: "abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon"}, + {mnemonic: "legal winner thank year wave sausage worth useful legal winner thank yellow yellow"}, + {mnemonic: "letter advice cage absurd amount doctor acoustic avoid letter advice caged above"}, + {mnemonic: "zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo, wrong"}, + {mnemonic: "abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon"}, + {mnemonic: "legal winner thank year wave sausage worth useful legal winner thank year wave sausage worth useful legal will will will"}, + {mnemonic: "letter advice cage absurd amount doctor acoustic avoid letter advice cage absurd amount doctor acoustic avoid letter always."}, + {mnemonic: "zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo why"}, + {mnemonic: "abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon art art"}, + {mnemonic: "legal winner thank year wave sausage worth useful legal winner thanks year wave worth useful legal winner thank year wave sausage worth title"}, + {mnemonic: "letter advice cage absurd amount doctor acoustic avoid letters advice cage absurd amount doctor acoustic avoid letter advice cage absurd amount doctor acoustic bless"}, + {mnemonic: "zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo voted"}, + {mnemonic: "jello better achieve collect unaware mountain thought cargo oxygen act hood bridge"}, + {mnemonic: "renew, stay, biology, evidence, goat, welcome, casual, join, adapt, armor, shuffle, fault, little, machine, walk, stumble, urge, swap"}, + {mnemonic: "dignity pass list indicate nasty"}, + } +} + +func testVectors() []vector { + return []vector{ + { + entropy: "00000000000000000000000000000000", + mnemonic: "abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon about", + seed: "c55257c360c07c72029aebc1b53c05ed0362ada38ead3e3e9efa3708e53495531f09a6987599d18264c1e1c92f2cf141630c7a3c4ab7c81b2f001698e7463b04", + }, + { + entropy: "7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f", + mnemonic: "legal winner thank year wave sausage worth useful legal winner thank yellow", + seed: "2e8905819b8723fe2c1d161860e5ee1830318dbf49a83bd451cfb8440c28bd6fa457fe1296106559a3c80937a1c1069be3a3a5bd381ee6260e8d9739fce1f607", + }, + { + entropy: "80808080808080808080808080808080", + mnemonic: "letter advice cage absurd amount doctor acoustic avoid letter advice cage above", + seed: "d71de856f81a8acc65e6fc851a38d4d7ec216fd0796d0a6827a3ad6ed5511a30fa280f12eb2e47ed2ac03b5c462a0358d18d69fe4f985ec81778c1b370b652a8", + }, + { + entropy: "ffffffffffffffffffffffffffffffff", + mnemonic: "zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo wrong", + seed: "ac27495480225222079d7be181583751e86f571027b0497b5b5d11218e0a8a13332572917f0f8e5a589620c6f15b11c61dee327651a14c34e18231052e48c069", + }, + { + entropy: "000000000000000000000000000000000000000000000000", + mnemonic: "abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon agent", + seed: "035895f2f481b1b0f01fcf8c289c794660b289981a78f8106447707fdd9666ca06da5a9a565181599b79f53b844d8a71dd9f439c52a3d7b3e8a79c906ac845fa", + }, + { + entropy: "7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f", + mnemonic: "legal winner thank year wave sausage worth useful legal winner thank year wave sausage worth useful legal will", + seed: "f2b94508732bcbacbcc020faefecfc89feafa6649a5491b8c952cede496c214a0c7b3c392d168748f2d4a612bada0753b52a1c7ac53c1e93abd5c6320b9e95dd", + }, + { + entropy: "808080808080808080808080808080808080808080808080", + mnemonic: "letter advice cage absurd amount doctor acoustic avoid letter advice cage absurd amount doctor acoustic avoid letter always", + seed: "107d7c02a5aa6f38c58083ff74f04c607c2d2c0ecc55501dadd72d025b751bc27fe913ffb796f841c49b1d33b610cf0e91d3aa239027f5e99fe4ce9e5088cd65", + }, + { + entropy: "ffffffffffffffffffffffffffffffffffffffffffffffff", + mnemonic: "zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo when", + seed: "0cd6e5d827bb62eb8fc1e262254223817fd068a74b5b449cc2f667c3f1f985a76379b43348d952e2265b4cd129090758b3e3c2c49103b5051aac2eaeb890a528", + }, + { + entropy: "0000000000000000000000000000000000000000000000000000000000000000", + mnemonic: "abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon abandon art", + seed: "bda85446c68413707090a52022edd26a1c9462295029f2e60cd7c4f2bbd3097170af7a4d73245cafa9c3cca8d561a7c3de6f5d4a10be8ed2a5e608d68f92fcc8", + }, + { + entropy: "7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f7f", + mnemonic: "legal winner thank year wave sausage worth useful legal winner thank year wave sausage worth useful legal winner thank year wave sausage worth title", + seed: "bc09fca1804f7e69da93c2f2028eb238c227f2e9dda30cd63699232578480a4021b146ad717fbb7e451ce9eb835f43620bf5c514db0f8add49f5d121449d3e87", + }, + { + entropy: "8080808080808080808080808080808080808080808080808080808080808080", + mnemonic: "letter advice cage absurd amount doctor acoustic avoid letter advice cage absurd amount doctor acoustic avoid letter advice cage absurd amount doctor acoustic bless", + seed: "c0c519bd0e91a2ed54357d9d1ebef6f5af218a153624cf4f2da911a0ed8f7a09e2ef61af0aca007096df430022f7a2b6fb91661a9589097069720d015e4e982f", + }, + { + entropy: "ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + mnemonic: "zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo zoo vote", + seed: "dd48c104698c30cfe2b6142103248622fb7bb0ff692eebb00089b32d22484e1613912f0a5b694407be899ffd31ed3992c456cdf60f5d4564b8ba3f05a69890ad", + }, + { + entropy: "77c2b00716cec7213839159e404db50d", + mnemonic: "jelly better achieve collect unaware mountain thought cargo oxygen act hood bridge", + seed: "b5b6d0127db1a9d2226af0c3346031d77af31e918dba64287a1b44b8ebf63cdd52676f672a290aae502472cf2d602c051f3e6f18055e84e4c43897fc4e51a6ff", + }, + { + entropy: "b63a9c59a6e641f288ebc103017f1da9f8290b3da6bdef7b", + mnemonic: "renew stay biology evidence goat welcome casual join adapt armor shuffle fault little machine walk stumble urge swap", + seed: "9248d83e06f4cd98debf5b6f010542760df925ce46cf38a1bdb4e4de7d21f5c39366941c69e1bdbf2966e0f6e6dbece898a0e2f0a4c2b3e640953dfe8b7bbdc5", + }, + { + entropy: "3e141609b97933b66a060dcddc71fad1d91677db872031e85f4c015c5e7e8982", + mnemonic: "dignity pass list indicate nasty swamp pool script soccer toe leaf photo multiply desk host tomato cradle drill spread actor shine dismiss champion exotic", + seed: "ff7f3184df8696d8bef94b6c03114dbee0ef89ff938712301d27ed8336ca89ef9635da20af07d4175f2bf5f3de130f39c9d9e8dd0472489c19b1a020a940da67", + }, + { + entropy: "0460ef47585604c5660618db2e6a7e7f", + mnemonic: "afford alter spike radar gate glance object seek swamp infant panel yellow", + seed: "65f93a9f36b6c85cbe634ffc1f99f2b82cbb10b31edc7f087b4f6cb9e976e9faf76ff41f8f27c99afdf38f7a303ba1136ee48a4c1e7fcd3dba7aa876113a36e4", + }, + { + entropy: "72f60ebac5dd8add8d2a25a797102c3ce21bc029c200076f", + mnemonic: "indicate race push merry suffer human cruise dwarf pole review arch keep canvas theme poem divorce alter left", + seed: "3bbf9daa0dfad8229786ace5ddb4e00fa98a044ae4c4975ffd5e094dba9e0bb289349dbe2091761f30f382d4e35c4a670ee8ab50758d2c55881be69e327117ba", + }, + { + entropy: "2c85efc7f24ee4573d2b81a6ec66cee209b2dcbd09d8eddc51e0215b0b68e416", + mnemonic: "clutch control vehicle tonight unusual clog visa ice plunge glimpse recipe series open hour vintage deposit universe tip job dress radar refuse motion taste", + seed: "fe908f96f46668b2d5b37d82f558c77ed0d69dd0e7e043a5b0511c48c2f1064694a956f86360c93dd04052a8899497ce9e985ebe0c8c52b955e6ae86d4ff4449", + }, + { + entropy: "eaebabb2383351fd31d703840b32e9e2", + mnemonic: "turtle front uncle idea crush write shrug there lottery flower risk shell", + seed: "bdfb76a0759f301b0b899a1e3985227e53b3f51e67e3f2a65363caedf3e32fde42a66c404f18d7b05818c95ef3ca1e5146646856c461c073169467511680876c", + }, + { + entropy: "7ac45cfe7722ee6c7ba84fbc2d5bd61b45cb2fe5eb65aa78", + mnemonic: "kiss carry display unusual confirm curtain upgrade antique rotate hello void custom frequent obey nut hole price segment", + seed: "ed56ff6c833c07982eb7119a8f48fd363c4a9b1601cd2de736b01045c5eb8ab4f57b079403485d1c4924f0790dc10a971763337cb9f9c62226f64fff26397c79", + }, + { + entropy: "4fa1a8bc3e6d80ee1316050e862c1812031493212b7ec3f3bb1b08f168cabeef", + mnemonic: "exile ask congress lamp submit jacket era scheme attend cousin alcohol catch course end lucky hurt sentence oven short ball bird grab wing top", + seed: "095ee6f817b4c2cb30a5a797360a81a40ab0f9a4e25ecd672a3f58a0b5ba0687c096a6b14d2c0deb3bdefce4f61d01ae07417d502429352e27695163f7447a8c", + }, + { + entropy: "18ab19a9f54a9274f03e5209a2ac8a91", + mnemonic: "board flee heavy tunnel powder denial science ski answer betray cargo cat", + seed: "6eff1bb21562918509c73cb990260db07c0ce34ff0e3cc4a8cb3276129fbcb300bddfe005831350efd633909f476c45c88253276d9fd0df6ef48609e8bb7dca8", + }, + { + entropy: "18a2e1d81b8ecfb2a333adcb0c17a5b9eb76cc5d05db91a4", + mnemonic: "board blade invite damage undo sun mimic interest slam gaze truly inherit resist great inject rocket museum chief", + seed: "f84521c777a13b61564234bf8f8b62b3afce27fc4062b51bb5e62bdfecb23864ee6ecf07c1d5a97c0834307c5c852d8ceb88e7c97923c0a3b496bedd4e5f88a9", + }, + { + entropy: "15da872c95a13dd738fbf50e427583ad61f18fd99f628c417a61cf8343c90419", + mnemonic: "beyond stage sleep clip because twist token leaf atom beauty genius food business side grid unable middle armed observe pair crouch tonight away coconut", + seed: "b15509eaa2d09d3efd3e006ef42151b30367dc6e3aa5e44caba3fe4d3e352e65101fbdb86a96776b91946ff06f8eac594dc6ee1d3e82a42dfe1b40fef6bcc3fd", + }, + } +} + +func TestEntropyFromMnemonic_128(t *testing.T) { + testEntropyFromMnemonic(t, 128) +} + +func TestEntropyFromMnemonic_160(t *testing.T) { + testEntropyFromMnemonic(t, 160) +} + +func TestEntropyFromMnemonic_192(t *testing.T) { + testEntropyFromMnemonic(t, 192) +} + +func TestEntropyFromMnemonic_224(t *testing.T) { + testEntropyFromMnemonic(t, 224) +} + +func TestEntropyFromMnemonic_256(t *testing.T) { + testEntropyFromMnemonic(t, 256) +} + +func testEntropyFromMnemonic(t *testing.T, bitSize int) { + for i := 0; i < 512; i++ { + entropy, err := NewEntropy(bitSize) + assertNil(t, err) + assertTrue(t, len(entropy) != 0) + + mnemonic, err := NewMnemonic(entropy) + assertNil(t, err) + assertTrue(t, len(mnemonic) != 0) + + outEntropy, err := EntropyFromMnemonic(mnemonic) + assertNil(t, err) + assertEqualByteSlices(t, entropy, outEntropy) + } +} diff --git a/crypto/bip39/example_test.go b/crypto/bip39/example_test.go new file mode 100644 index 0000000..0549987 --- /dev/null +++ b/crypto/bip39/example_test.go @@ -0,0 +1,28 @@ +package bip39_test + +import ( + "encoding/hex" + "fmt" + + "github.com/Qitmeer/qng-core/crypto/bip39" +) + +func ExampleNewMnemonic() { + // the entropy can be any byte slice, generated how pleased, + // as long its bit size is a multiple of 32 and is within + // the inclusive range of {128,256} + entropy, _ := hex.DecodeString("066dca1a2bb7e8a1db2832148ce9933eea0f3ac9548d793112d9a95c9407efad") + + // generate a mnemomic + mnemomic, _ := bip39.NewMnemonic(entropy) + fmt.Println(mnemomic) + // output: + // all hour make first leader extend hole alien behind guard gospel lava path output census museum junior mass reopen famous sing advance salt reform +} + +func ExampleNewSeed() { + seed := bip39.NewSeed("all hour make first leader extend hole alien behind guard gospel lava path output census museum junior mass reopen famous sing advance salt reform", "TREZOR") + fmt.Println(hex.EncodeToString(seed)) + // output: + // 26e975ec644423f4a4c4f4215ef09b4bd7ef924e85d1d17c4cf3f136c2863cf6df0a475045652c57eb5fb41513ca2a2d67722b77e954b4b3fc11f7590449191d +} diff --git a/crypto/bip39/wordlists/chinese_simplified.go b/crypto/bip39/wordlists/chinese_simplified.go new file mode 100644 index 0000000..0ee2972 --- /dev/null +++ b/crypto/bip39/wordlists/chinese_simplified.go @@ -0,0 +1,2071 @@ +package wordlists + +import ( + "fmt" + "hash/crc32" + "strings" +) + +func init() { + // Ensure word list is correct + // $ wget https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/chinese_simplified.txt + // $ crc32 chinese_simplified.txt + // e3721bbf + checksum := crc32.ChecksumIEEE([]byte(chineseSimplified)) + if fmt.Sprintf("%x", checksum) != "e3721bbf" { + panic("chineseSimplified checksum invalid") + } +} + +// ChineseSimplified is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/chinese_simplified.txt +var ChineseSimplified = strings.Split(strings.TrimSpace(chineseSimplified), "\n") +var chineseSimplified = `的 +一 +是 +在 +不 +了 +有 +和 +人 +这 +中 +大 +为 +上 +个 +国 +我 +以 +要 +他 +时 +来 +用 +们 +生 +到 +作 +地 +于 +出 +就 +分 +对 +成 +会 +可 +主 +发 +年 +动 +同 +工 +也 +能 +下 +过 +子 +说 +产 +种 +面 +而 +方 +后 +多 +定 +行 +学 +法 +所 +民 +得 +经 +十 +三 +之 +进 +着 +等 +部 +度 +家 +电 +力 +里 +如 +水 +化 +高 +自 +二 +理 +起 +小 +物 +现 +实 +加 +量 +都 +两 +体 +制 +机 +当 +使 +点 +从 +业 +本 +去 +把 +性 +好 +应 +开 +它 +合 +还 +因 +由 +其 +些 +然 +前 +外 +天 +政 +四 +日 +那 +社 +义 +事 +平 +形 +相 +全 +表 +间 +样 +与 +关 +各 +重 +新 +线 +内 +数 +正 +心 +反 +你 +明 +看 +原 +又 +么 +利 +比 +或 +但 +质 +气 +第 +向 +道 +命 +此 +变 +条 +只 +没 +结 +解 +问 +意 +建 +月 +公 +无 +系 +军 +很 +情 +者 +最 +立 +代 +想 +已 +通 +并 +提 +直 +题 +党 +程 +展 +五 +果 +料 +象 +员 +革 +位 +入 +常 +文 +总 +次 +品 +式 +活 +设 +及 +管 +特 +件 +长 +求 +老 +头 +基 +资 +边 +流 +路 +级 +少 +图 +山 +统 +接 +知 +较 +将 +组 +见 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crc32.ChecksumIEEE([]byte(chineseTraditional)) + if fmt.Sprintf("%x", checksum) != "3c20b443" { + panic("chineseTraditional checksum invalid") + } +} + +// ChineseTraditional is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/chinese_traditional.txt +var ChineseTraditional = strings.Split(strings.TrimSpace(chineseTraditional), "\n") +var chineseTraditional = `的 +一 +是 +在 +不 +了 +有 +和 +人 +這 +中 +大 +為 +上 +個 +國 +我 +以 +要 +他 +時 +來 +用 +們 +生 +到 +作 +地 +於 +出 +就 +分 +對 +成 +會 +可 +主 +發 +年 +動 +同 +工 +也 +能 +下 +過 +子 +說 +產 +種 +面 +而 +方 +後 +多 +定 +行 +學 +法 +所 +民 +得 +經 +十 +三 +之 +進 +著 +等 +部 +度 +家 +電 +力 +裡 +如 +水 +化 +高 +自 +二 +理 +起 +小 +物 +現 +實 +加 +量 +都 +兩 +體 +制 +機 +當 +使 +點 +從 +業 +本 +去 +把 +性 +好 +應 +開 +它 +合 +還 +因 +由 +其 +些 +然 +前 +外 +天 +政 +四 +日 +那 +社 +義 +事 +平 +形 +相 +全 +表 +間 +樣 +與 +關 +各 +重 +新 +線 +內 +數 +正 +心 +反 +你 +明 +看 +原 +又 +麼 +利 +比 +或 +但 +質 +氣 +第 +向 +道 +命 +此 +變 +條 +只 +沒 +結 +解 +問 +意 +建 +月 +公 +無 +系 +軍 +很 +情 +者 +最 +立 +代 +想 +已 +通 +並 +提 +直 +題 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+ // $ crc32 english.txt + // c1dbd296 + checksum := crc32.ChecksumIEEE([]byte(english)) + if fmt.Sprintf("%x", checksum) != "c1dbd296" { + panic("english checksum invalid") + } +} + +// English is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/english.txt +var English = strings.Split(strings.TrimSpace(english), "\n") +var english = `abandon +ability +able +about +above +absent +absorb +abstract +absurd +abuse +access +accident +account +accuse +achieve +acid +acoustic +acquire +across +act +action +actor +actress +actual +adapt +add +addict +address +adjust +admit +adult +advance +advice +aerobic +affair +afford +afraid +again +age +agent +agree +ahead +aim +air +airport +aisle +alarm +album +alcohol +alert +alien +all +alley +allow +almost +alone +alpha +already +also +alter +always +amateur +amazing +among +amount +amused +analyst +anchor +ancient +anger +angle +angry +animal +ankle +announce +annual 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https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/italian.txt + // $ crc32 italian.txt + // 2fc7d07e + checksum := crc32.ChecksumIEEE([]byte(italian)) + if fmt.Sprintf("%x", checksum) != "2fc7d07e" { + panic("italian checksum invalid") + } +} + +// Italian is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/italian.txt +var Italian = strings.Split(strings.TrimSpace(italian), "\n") +var italian = `abaco +abbaglio +abbinato +abete +abisso +abolire +abrasivo +abrogato +accadere +accenno +accusato +acetone +achille +acido +acqua +acre +acrilico +acrobata +acuto +adagio +addebito +addome +adeguato +aderire +adipe +adottare +adulare +affabile +affetto +affisso +affranto +aforisma +afoso +africano +agave +agente +agevole +aggancio +agire +agitare +agonismo +agricolo +agrumeto +aguzzo +alabarda +alato +albatro +alberato +albo +albume +alce +alcolico +alettone +alfa +algebra +aliante +alibi +alimento 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+veloce +venato +vendemmia +vento +verace +verbale +vergogna +verifica +vero +verruca +verticale +vescica +vessillo +vestale +veterano +vetrina +vetusto +viandante +vibrante +vicenda +vichingo +vicinanza +vidimare +vigilia +vigneto +vigore +vile +villano +vimini +vincitore +viola +vipera +virgola +virologo +virulento +viscoso +visione +vispo +vissuto +visura +vita +vitello +vittima +vivanda +vivido +viziare +voce +voga +volatile +volere +volpe +voragine +vulcano +zampogna +zanna +zappato +zattera +zavorra +zefiro +zelante +zelo +zenzero +zerbino +zibetto +zinco +zircone +zitto +zolla +zotico +zucchero +zufolo +zulu +zuppa +` diff --git a/crypto/bip39/wordlists/japanese.go b/crypto/bip39/wordlists/japanese.go new file mode 100644 index 0000000..23a76a3 --- /dev/null +++ b/crypto/bip39/wordlists/japanese.go @@ -0,0 +1,2071 @@ +package wordlists + +import ( + "fmt" + "hash/crc32" + "strings" +) + +func init() { + // Ensure word list is correct + // $ wget https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/japanese.txt + // $ crc32 japanese.txt + // 0acc1419 + checksum := crc32.ChecksumIEEE([]byte(japanese)) + if fmt.Sprintf("%x", checksum) != "acc1419" { + panic(fmt.Sprintf("japanese checksum invalid: %x", checksum)) + } +} + +// Japanese is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/japanese.txt +var Japanese = strings.Split(strings.TrimSpace(japanese), "\n") +var japanese = `あいこくしん +あいさつ +あいだ +あおぞら +あかちゃん +あきる +あけがた +あける +あこがれる +あさい +あさひ +あしあと +あじわう +あずかる +あずき +あそぶ +あたえる +あたためる +あたりまえ +あたる +あつい +あつかう +あっしゅく +あつまり +あつめる +あてな +あてはまる +あひる +あぶら +あぶる +あふれる +あまい +あまど +あまやかす +あまり +あみもの +あめりか +あやまる +あゆむ +あらいぐま +あらし +あらすじ +あらためる +あらゆる +あらわす +ありがとう +あわせる +あわてる +あんい +あんがい +あんこ +あんぜん +あんてい +あんない +あんまり +いいだす +いおん +いがい +いがく +いきおい +いきなり +いきもの +いきる +いくじ +いくぶん +いけばな +いけん +いこう +いこく +いこつ +いさましい +いさん +いしき +いじゅう +いじょう +いじわる +いずみ +いずれ +いせい +いせえび +いせかい +いせき +いぜん +いそうろう +いそがしい +いだい +いだく +いたずら +いたみ +いたりあ +いちおう +いちじ +いちど +いちば +いちぶ +いちりゅう +いつか +いっしゅん +いっせい +いっそう +いったん +いっち +いってい +いっぽう +いてざ +いてん +いどう +いとこ +いない +いなか +いねむり +いのち +いのる +いはつ +いばる +いはん +いびき +いひん +いふく +いへん +いほう +いみん +いもうと +いもたれ +いもり +いやがる +いやす +いよかん +いよく +いらい +いらすと +いりぐち +いりょう +いれい +いれもの +いれる +いろえんぴつ +いわい +いわう +いわかん +いわば +いわゆる +いんげんまめ +いんさつ +いんしょう +いんよう +うえき +うえる +うおざ +うがい +うかぶ +うかべる +うきわ +うくらいな +うくれれ +うけたまわる +うけつけ +うけとる +うけもつ +うける +うごかす +うごく +うこん +うさぎ +うしなう +うしろがみ +うすい +うすぎ +うすぐらい +うすめる +うせつ +うちあわせ +うちがわ +うちき +うちゅう +うっかり +うつくしい +うったえる +うつる +うどん +うなぎ +うなじ +うなずく +うなる +うねる +うのう +うぶげ +うぶごえ +うまれる +うめる +うもう +うやまう +うよく +うらがえす +うらぐち +うらない +うりあげ +うりきれ +うるさい +うれしい +うれゆき +うれる +うろこ +うわき +うわさ +うんこう +うんちん +うんてん +うんどう +えいえん +えいが +えいきょう +えいご +えいせい +えいぶん +えいよう +えいわ +えおり +えがお +えがく +えきたい +えくせる +えしゃく +えすて +えつらん +えのぐ +えほうまき +えほん +えまき +えもじ +えもの +えらい +えらぶ +えりあ +えんえん +えんかい +えんぎ +えんげき +えんしゅう +えんぜつ +えんそく +えんちょう +えんとつ +おいかける +おいこす +おいしい +おいつく +おうえん +おうさま +おうじ +おうせつ +おうたい +おうふく +おうべい +おうよう +おえる +おおい +おおう +おおどおり +おおや 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+わかす +わかめ +わかやま +わかれる +わしつ +わじまし +わすれもの +わらう +われる +` diff --git a/crypto/bip39/wordlists/korean.go b/crypto/bip39/wordlists/korean.go new file mode 100644 index 0000000..1d31775 --- /dev/null +++ b/crypto/bip39/wordlists/korean.go @@ -0,0 +1,2071 @@ +package wordlists + +import ( + "fmt" + "hash/crc32" + "strings" +) + +func init() { + // Ensure word list is correct + // $ wget https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/korean.txt + // $ crc32 korean.txt + // 4ef461eb + checksum := crc32.ChecksumIEEE([]byte(korean)) + if fmt.Sprintf("%x", checksum) != "4ef461eb" { + panic("korean checksum invalid") + } +} + +// Korean is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/korean.txt +var Korean = strings.Split(strings.TrimSpace(korean), "\n") +var korean = `가격 +가끔 +가난 +가능 +가득 +가르침 +가뭄 +가방 +가상 +가슴 +가운데 +가을 +가이드 +가입 +가장 +가정 +가족 +가죽 +각오 +각자 +간격 +간부 +간섭 +간장 +간접 +간판 +갈등 +갈비 +갈색 +갈증 +감각 +감기 +감소 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+한꺼번에 +한낮 +한눈 +한동안 +한때 +한라산 +한마디 +한문 +한번 +한복 +한식 +한여름 +한쪽 +할머니 +할아버지 +할인 +함께 +함부로 +합격 +합리적 +항공 +항구 +항상 +항의 +해결 +해군 +해답 +해당 +해물 +해석 +해설 +해수욕장 +해안 +핵심 +핸드백 +햄버거 +햇볕 +햇살 +행동 +행복 +행사 +행운 +행위 +향기 +향상 +향수 +허락 +허용 +헬기 +현관 +현금 +현대 +현상 +현실 +현장 +현재 +현지 +혈액 +협력 +형부 +형사 +형수 +형식 +형제 +형태 +형편 +혜택 +호기심 +호남 +호랑이 +호박 +호텔 +호흡 +혹시 +홀로 +홈페이지 +홍보 +홍수 +홍차 +화면 +화분 +화살 +화요일 +화장 +화학 +확보 +확인 +확장 +확정 +환갑 +환경 +환영 +환율 +환자 +활기 +활동 +활발히 +활용 +활짝 +회견 +회관 +회복 +회색 +회원 +회장 +회전 +횟수 +횡단보도 +효율적 +후반 +후춧가루 +훈련 +훨씬 +휴식 +휴일 +흉내 +흐름 +흑백 +흑인 +흔적 +흔히 +흥미 +흥분 +희곡 +희망 +희생 +흰색 +힘껏 +` diff --git a/crypto/bip39/wordlists/spanish.go b/crypto/bip39/wordlists/spanish.go new file mode 100644 index 0000000..ad76da9 --- /dev/null +++ b/crypto/bip39/wordlists/spanish.go @@ -0,0 +1,2071 @@ +package wordlists + +import ( + "fmt" + "hash/crc32" + "strings" +) + +func init() { + // Ensure word list is correct + // $ wget https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/spanish.txt + // $ crc32 spanish.txt + // 266e4f3d + checksum := crc32.ChecksumIEEE([]byte(spanish)) + if fmt.Sprintf("%x", checksum) != "266e4f3d" { + panic("spanish checksum invalid") + } +} + +// Spanish is a slice of mnemonic words taken from the bip39 specification +// https://raw.githubusercontent.com/bitcoin/bips/master/bip-0039/spanish.txt +var Spanish = strings.Split(strings.TrimSpace(spanish), "\n") +var spanish = `ábaco +abdomen +abeja +abierto +abogado +abono +aborto +abrazo +abrir +abuelo +abuso +acabar +academia +acceso +acción +aceite +acelga +acento +aceptar +ácido +aclarar +acné +acoger +acoso +activo +acto +actriz +actuar +acudir +acuerdo +acusar +adicto +admitir +adoptar +adorno +aduana +adulto +aéreo +afectar +afición +afinar +afirmar +ágil +agitar +agonía +agosto +agotar +agregar +agrio +agua +agudo +águila +aguja +ahogo +ahorro +aire +aislar +ajedrez +ajeno +ajuste +alacrán +alambre +alarma +alba +álbum +alcalde +aldea +alegre +alejar +alerta +aleta +alfiler +alga +algodón +aliado +aliento +alivio +alma +almeja +almíbar +altar 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+universo +uno +untar +uña +urbano +urbe +urgente +urna +usar +usuario +útil +utopía +uva +vaca +vacío +vacuna +vagar +vago +vaina +vajilla +vale +válido +valle +valor +válvula +vampiro +vara +variar +varón +vaso +vecino +vector +vehículo +veinte +vejez +vela +velero +veloz +vena +vencer +venda +veneno +vengar +venir +venta +venus +ver +verano +verbo +verde +vereda +verja +verso +verter +vía +viaje +vibrar +vicio +víctima +vida +vídeo +vidrio +viejo +viernes +vigor +vil +villa +vinagre +vino +viñedo +violín +viral +virgo +virtud +visor +víspera +vista +vitamina +viudo +vivaz +vivero +vivir +vivo +volcán +volumen +volver +voraz +votar +voto +voz +vuelo +vulgar +yacer +yate +yegua +yema +yerno +yeso +yodo +yoga +yogur +zafiro +zanja +zapato +zarza +zona +zorro +zumo +zurdo +` diff --git a/crypto/certgen/certgen.go b/crypto/certgen/certgen.go new file mode 100644 index 0000000..eaa6569 --- /dev/null +++ b/crypto/certgen/certgen.go @@ -0,0 +1,145 @@ +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package certgen + +import ( + "bytes" + "crypto/ecdsa" + "crypto/elliptic" + "crypto/rand" + _ "crypto/sha512" // Needed for RegisterHash in init + "crypto/x509" + "crypto/x509/pkix" + "encoding/pem" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/roughtime" + "math/big" + "net" + "os" + "time" +) + +// NewTLSCertPair returns a new PEM-encoded x.509 certificate pair. The +// machine's local interface addresses and all variants of IPv4 and IPv6 +// localhost are included as valid IP addresses. +func NewTLSCertPair(curve elliptic.Curve, organization string, validUntil time.Time, extraHosts []string) (cert, key []byte, err error) { + now := roughtime.Now() + if validUntil.Before(now) { + return nil, nil, errors.New("validUntil would create an already-expired certificate") + } + + priv, err := ecdsa.GenerateKey(curve, rand.Reader) + if err != nil { + return nil, nil, err + } + + // end of ASN.1 time + endOfTime := time.Date(2049, 12, 31, 23, 59, 59, 0, time.UTC) + if validUntil.After(endOfTime) { + validUntil = endOfTime + } + + serialNumberLimit := new(big.Int).Lsh(big.NewInt(1), 128) + serialNumber, err := rand.Int(rand.Reader, serialNumberLimit) + if err != nil { + return nil, nil, fmt.Errorf("failed to generate serial number: %s", err) + } + + host, err := os.Hostname() + if err != nil { + return nil, nil, err + } + + ipAddresses := []net.IP{net.ParseIP("127.0.0.1"), net.ParseIP("::1")} + dnsNames := []string{host} + if host != "localhost" { + dnsNames = append(dnsNames, "localhost") + } + + addIP := func(ipAddr net.IP) { + for _, ip := range ipAddresses { + if bytes.Equal(ip, ipAddr) { + return + } + } + ipAddresses = append(ipAddresses, ipAddr) + } + addHost := func(host string) { + for _, dnsName := range dnsNames { + if host == dnsName { + return + } + } + dnsNames = append(dnsNames, host) + } + + addrs, err := interfaceAddrs() + if err != nil { + return nil, nil, err + } + for _, a := range addrs { + ipAddr, _, err := net.ParseCIDR(a.String()) + if err == nil { + addIP(ipAddr) + } + } + + for _, hostStr := range extraHosts { + host, _, err := net.SplitHostPort(hostStr) + if err != nil { + host = hostStr + } + if ip := net.ParseIP(host); ip != nil { + addIP(ip) + } else { + addHost(host) + } + } + + template := x509.Certificate{ + SerialNumber: serialNumber, + Subject: pkix.Name{ + Organization: []string{organization}, + CommonName: host, + }, + NotBefore: now.Add(-time.Hour * 24), + NotAfter: validUntil, + + KeyUsage: x509.KeyUsageKeyEncipherment | x509.KeyUsageDigitalSignature | + x509.KeyUsageCertSign, + IsCA: true, // so can sign self. + BasicConstraintsValid: true, + + DNSNames: dnsNames, + IPAddresses: ipAddresses, + } + + derBytes, err := x509.CreateCertificate(rand.Reader, &template, + &template, &priv.PublicKey, priv) + if err != nil { + return nil, nil, fmt.Errorf("failed to create certificate: %v", err) + } + + certBuf := &bytes.Buffer{} + err = pem.Encode(certBuf, &pem.Block{Type: "CERTIFICATE", Bytes: derBytes}) + if err != nil { + return nil, nil, fmt.Errorf("failed to encode certificate: %v", err) + } + + keybytes, err := x509.MarshalECPrivateKey(priv) + if err != nil { + return nil, nil, fmt.Errorf("failed to marshal private key: %v", err) + } + + keyBuf := &bytes.Buffer{} + err = pem.Encode(keyBuf, &pem.Block{Type: "EC PRIVATE KEY", Bytes: keybytes}) + if err != nil { + return nil, nil, fmt.Errorf("failed to encode private key: %v", err) + } + + return certBuf.Bytes(), keyBuf.Bytes(), nil +} diff --git a/crypto/certgen/net.go b/crypto/certgen/net.go new file mode 100644 index 0000000..578b1c8 --- /dev/null +++ b/crypto/certgen/net.go @@ -0,0 +1,19 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// +build !appengine + +package certgen + +import ( + "net" +) + +// interfaceAddrs returns a list of the system's network interface addresses. +// It is wrapped here so that we can substitute it for other functions when +// building for systems that do not allow access to net.InterfaceAddrs(). +func interfaceAddrs() ([]net.Addr, error) { + return net.InterfaceAddrs() +} diff --git a/crypto/crypto.go b/crypto/crypto.go new file mode 100644 index 0000000..b895d97 --- /dev/null +++ b/crypto/crypto.go @@ -0,0 +1,126 @@ +package crypto + +import ( + "crypto/ecdsa" + "crypto/elliptic" + "encoding/hex" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" + "math/big" +) + +var errInvalidPubkey = errors.New("invalid secp256k1 public key") + +// Keccak256 calculates and returns the Keccak256 hash of the input data. +func Keccak256(data ...[]byte) []byte { + d := hash.GetHasher(hash.Keccak_256) + for _, b := range data { + d.Write(b) + } + return d.Sum(nil) +} + +// Keccak256Hash calculates and returns the Keccak256 hash of the input data, +// converting it to an internal Hash data structure. +func Keccak256Hash(data ...[]byte) (h hash.Hash) { + d := hash.GetHasher(hash.Keccak_256) + for _, b := range data { + d.Write(b) + } + d.Sum(h[:0]) + return h +} + +// +func Sign(digestHash []byte, prv *ecdsa.PrivateKey) (sig []byte, err error) { + prvKey := secp256k1.NewPrivateKey(prv.D) + sig, err = secp256k1.SignCompact(prvKey, digestHash, false) + if err != nil { + return nil, fmt.Errorf("can't sign: %v", err) + } + return sig, nil +} + +// VerifySignature checks that the given public key created signature over digest. +func VerifySignature(pubkey *ecdsa.PublicKey, digestHash, signature []byte) bool { + sig, err := ParseSignature(signature) + if err != nil { + return false + } + publicKey := secp256k1.NewPublicKey(pubkey.X, pubkey.Y) + return ecc.Secp256k1.Verify(publicKey, digestHash, sig.GetR(), sig.GetS()) +} + +// +func ParseSignature(signature []byte) (*secp256k1.Signature, error) { + bitlen := (secp256k1.S256().BitSize + 7) / 8 + if len(signature) != bitlen*2 { + return nil, errors.New("invalid compact signature size") + } + // format is
+ sig := &secp256k1.Signature{ + R: new(big.Int).SetBytes(signature[:bitlen]), + S: new(big.Int).SetBytes(signature[bitlen:]), + } + return sig, nil +} + +// Ecrecover returns the uncompressed public key that created the given signature. +func Ecrecover(digestHash, sig []byte) (ecc.PublicKey, error) { + pubKey, _, err := ecc.Secp256k1.RecoverCompact(sig, digestHash) + if err != nil { + return nil, err + } + return pubKey, nil +} + +// HexToECDSA parses a secp256k1 private key. +func HexToECDSA(hexkey string) (*ecdsa.PrivateKey, error) { + b, err := hex.DecodeString(hexkey) + if byteErr, ok := err.(hex.InvalidByteError); ok { + return nil, fmt.Errorf("invalid hex character %q in private key", byte(byteErr)) + } else if err != nil { + return nil, errors.New("invalid hex data for private key") + } + return ToECDSA(b) +} + +// ToECDSA creates a private key with the given D value. +func ToECDSA(d []byte) (*ecdsa.PrivateKey, error) { + privateKey, _ := ecc.Secp256k1.PrivKeyFromBytes(d) + return privateKey.(*secp256k1.PrivateKey).ToECDSA(), nil +} + +// CompressPubkey encodes a public key to the 33-byte compressed format. +func CompressPubkey(pubkey *ecdsa.PublicKey) []byte { + publicKey := secp256k1.NewPublicKey(pubkey.X, pubkey.Y) + return publicKey.SerializeCompressed() +} + +// DecompressPubkey parses a public key in the 33-byte compressed format. +func DecompressPubkey(pubkey []byte) (*ecdsa.PublicKey, error) { + publicKey, err := secp256k1.ParsePubKey(pubkey) + if err != nil { + return nil, fmt.Errorf("invalid public key:%v", err) + } + return publicKey.ToECDSA(), nil +} + +// UnmarshalPubkey converts bytes to a secp256k1 public key. +func UnmarshalPubkey(pub []byte) (*ecdsa.PublicKey, error) { + x, y := elliptic.Unmarshal(secp256k1.S256(), pub) + if x == nil { + return nil, errInvalidPubkey + } + return &ecdsa.PublicKey{Curve: secp256k1.S256(), X: x, Y: y}, nil +} + +func FromECDSAPub(pub *ecdsa.PublicKey) []byte { + if pub == nil || pub.X == nil || pub.Y == nil { + return nil + } + return elliptic.Marshal(secp256k1.S256(), pub.X, pub.Y) +} diff --git a/crypto/cuckoo/cuckaroo.go b/crypto/cuckoo/cuckaroo.go new file mode 100644 index 0000000..3bdb42b --- /dev/null +++ b/crypto/cuckoo/cuckaroo.go @@ -0,0 +1,71 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package cuckoo + +import ( + "github.com/Qitmeer/qng-core/crypto/cuckoo/siphash" + "github.com/pkg/errors" +) + +//Verify cuckaroo nonces. +func VerifyCuckaroo(sipkey []byte, nonces []uint32, edgeBits uint) error { + nedge := (1 << edgeBits) //number of edges： + nnode := 2 * nedge // + easiness := uint32(nnode * 50 / 100) // + edgemask := uint64(nedge - 1) + sip := siphash.Newsip(sipkey) + var uvs [2 * ProofSize]uint32 + var xor0, xor1 uint32 + + if len(nonces) != ProofSize { + return errors.New("length of nonce is not correct") + } + + if nonces[ProofSize-1] > easiness { + return errors.New("nonce is too big") + } + + for n := 0; n < ProofSize; n++ { + if n > 0 && nonces[n] <= nonces[n-1] { + return errors.New("nonces are not in order") + } + u00 := siphash.SiphashPRF(&sip.V, uint64(nonces[n]<<1)) + v00 := siphash.SiphashPRF(&sip.V, (uint64(nonces[n])<<1)|1) + u0 := uint32(u00&edgemask) << 1 + xor0 ^= u0 + uvs[2*n] = u0 + v0 := (uint32(v00&edgemask) << 1) | 1 + xor1 ^= v0 + uvs[2*n+1] = v0 + } + if xor0 != 0 { + return errors.New("U endpoinsts don't match") + } + if xor1 != 0 { + return errors.New("V endpoinsts don't match") + } + + n := 0 + for i := 0; ; { + another := i + for k := (i + 2) % (2 * ProofSize); k != i; k = (k + 2) % (2 * ProofSize) { + if uvs[k] == uvs[i] { + if another != i { + return errors.New("there are branches in nonce") + } + another = k + } + } + if another == i { + return errors.New("dead end in nonce") + } + i = another ^ 1 + n++ + if i == 0 { + break + } + } + if n != ProofSize { + return errors.New("cycle is too short") + } + return nil +} diff --git a/crypto/cuckoo/cuckaroo_test.go b/crypto/cuckoo/cuckaroo_test.go new file mode 100644 index 0000000..fda50ea --- /dev/null +++ b/crypto/cuckoo/cuckaroo_test.go @@ -0,0 +1,54 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package cuckoo + +import ( + "encoding/hex" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "log" + "math/big" + "os" + "runtime" + "testing" +) + +const targetBits = 1 + +func TestCuckooMining(t *testing.T) { + if os.Getenv("TEST_CUCKOO") == "" { + t.Skip("skipping the long test by default. use 'TEST_CUCKOO=true go test -v' to run the test.") + } + // Use all processor cores. + runtime.GOMAXPROCS(runtime.NumCPU()) + var targetDifficulty = big.NewInt(2) + targetDifficulty.Lsh(targetDifficulty, uint(255-targetBits)) + fmt.Printf("Target Diff:%064x\n", targetDifficulty.Bytes()) + c := NewCuckoo() + + var cycleNonces []uint32 + var isFound bool + var nonce int64 + var cycleNoncesHashInt big.Int + var siphashKey []byte + header := "helloworld" + + for nonce = 0; ; nonce++ { + headerBytes := []byte(fmt.Sprintf("%s%d", header, nonce)) + siphashKey = hash.DoubleHashB(headerBytes) + cycleNonces, isFound = c.PoW(siphashKey[:16]) + if !isFound { + continue + } + if err := VerifyCuckaroo(siphashKey[:16], cycleNonces, Edgebits); err != nil { + fmt.Println(err) + continue + } + cycleNoncesHash := hash.DoubleHashB(Uint32ToBytes(cycleNonces)) + cycleNoncesHashInt.SetBytes(cycleNoncesHash[:]) + + log.Println(fmt.Sprintf("Current Nonce:%d", nonce)) + log.Println(fmt.Sprintf("Found %d Cycles Nonces:", ProofSize), cycleNonces) + fmt.Println("Found Hash ", hex.EncodeToString(cycleNoncesHash)) + break + } +} diff --git a/crypto/cuckoo/cuckaroom.go b/crypto/cuckoo/cuckaroom.go new file mode 100644 index 0000000..7a0f651 --- /dev/null +++ b/crypto/cuckoo/cuckaroom.go @@ -0,0 +1,89 @@ +package cuckoo + +// Copyright 2020 BlockCypher +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. + +import ( + "encoding/binary" + "errors" + "github.com/Qitmeer/qng-core/crypto/cuckoo/siphash" +) + +func SipHashKey(sipkey []byte) [4]uint64 { + var s [4]uint64 + s[0] = binary.LittleEndian.Uint64(sipkey[0:8]) + s[1] = binary.LittleEndian.Uint64(sipkey[8:16]) + s[2] = binary.LittleEndian.Uint64(sipkey[16:24]) + s[3] = binary.LittleEndian.Uint64(sipkey[24:32]) + return s +} + +// Verify verifies the Cuckaroom context. +func VerifyCuckaroom(sipHashKeys [4]uint64, nonces []uint32, edgeBits uint) error { + nedge := (1 << edgeBits) //number of edges： + edgemask := uint64(nedge - 1) + if len(nonces) != ProofSize { + return errors.New("length of nonce is not correct") + } + from := make([]uint32, len(nonces)) + to := make([]uint32, len(nonces)) + var xorFrom uint32 = 0 + var xorTo uint32 = 0 + + nodemask := edgemask >> 1 + + for n := 0; n < ProofSize; n++ { + if uint64(nonces[n]) > edgemask { + return errors.New("edge too big") + } + if n > 0 && nonces[n] <= nonces[n-1] { + return errors.New("edges not ascending") + } + edge := siphash.SipHashBlock(sipHashKeys, uint64(nonces[n]), 21, true) + from[n] = uint32(edge & nodemask) + xorFrom ^= from[n] + to[n] = uint32((edge >> 32) & nodemask) + xorTo ^= to[n] + } + if xorFrom != xorTo { + return errors.New("endpoints don't match up") + } + visited := make([]bool, ProofSize) + n := 0 + i := 0 + for { + // follow cycle + if visited[i] { + return errors.New("branch in cycle") + } + visited[i] = true + nexti := 0 + for from[nexti] != to[i] { + nexti++ + if nexti == ProofSize { + return errors.New("cycle dead ends") + } + } + i = nexti + n++ + if i == 0 { + // must cycle back to start or find branch + break + } + } + if n == ProofSize { + return nil + } + return errors.New("cycle too short") +} diff --git a/crypto/cuckoo/cuckaroom_test.go b/crypto/cuckoo/cuckaroom_test.go new file mode 100644 index 0000000..74da4f7 --- /dev/null +++ b/crypto/cuckoo/cuckaroom_test.go @@ -0,0 +1,85 @@ +package cuckoo + +import ( + "encoding/binary" + "fmt" + "github.com/magiconair/properties/assert" + "golang.org/x/crypto/blake2b" + "testing" +) + +var SipHashKeys = map[int][4]uint64{ + 19: { + 0xdb7896f799c76dab, + 0x352e8bf25df7a723, + 0xf0aa29cbb1150ea6, + 0x3206c2759f41cbd5, + }, + 29: { + 0xe4b4a751f2eac47d, + 0x3115d47edfb69267, + 0x87de84146d9d609e, + 0x7deb20eab6d976a1, + }, +} + +// Copyright 2020 BlockCypher +// +// Licensed under the Apache License, Version 2.0 (the "License"); +// you may not use this file except in compliance with the License. +// You may obtain a copy of the License at +// +// http://www.apache.org/licenses/LICENSE-2.0 +// +// Unless required by applicable law or agreed to in writing, software +// distributed under the License is distributed on an "AS IS" BASIS, +// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +// See the License for the specific language governing permissions and +// limitations under the License. +var v1_19SolCuckaroom = []uint32{ + 0x0413c, 0x05121, 0x0546e, 0x1293a, 0x1dd27, 0x1e13e, 0x1e1d2, 0x22870, 0x24642, 0x24833, + 0x29190, 0x2a732, 0x2ccf6, 0x302cf, 0x32d9a, 0x33700, 0x33a20, 0x351d9, 0x3554b, 0x35a70, + 0x376c1, 0x398c6, 0x3f404, 0x3ff0c, 0x48b26, 0x49a03, 0x4c555, 0x4dcda, 0x4dfcd, 0x4fbb6, + 0x50275, 0x584a8, 0x5da0d, 0x5dbf1, 0x6038f, 0x66540, 0x72bbd, 0x77323, 0x77424, 0x77a14, + 0x77dc9, 0x7d9dc, +} + +var v2_29SolCuckaroom = []uint32{ + 0x04acd28, 0x29ccf71, 0x2a5572b, 0x2f31c2c, 0x2f60c37, 0x317fe1d, 0x32f6d4c, 0x3f51227, + 0x45ee1dc, 0x535eeb8, 0x5e135d5, 0x6184e3d, 0x6b1b8e0, 0x6f857a9, 0x8916a0f, 0x9beb5f8, + 0xa3c8dc9, 0xa886d94, 0xaab6a57, 0xd6df8f8, 0xe4d630f, 0xe6ae422, 0xea2d658, 0xf7f369b, + 0x10c465d8, 0x1130471e, 0x12049efb, 0x12f43bc5, 0x15b493a6, 0x16899354, 0x1915dfca, + 0x195c3dac, 0x19b09ab6, 0x1a1a8ed7, 0x1bba748f, 0x1bdbf777, 0x1c806542, 0x1d201b53, + 0x1d9e6af7, 0x1e99885e, 0x1f255834, 0x1f9c383b, +} + +func TestCuckaroom19(t *testing.T) { + err := VerifyCuckaroom(SipHashKeys[19], v1_19SolCuckaroom, 19) + assert.Equal(t, err, nil) +} + +func TestCuckaroom29(t *testing.T) { + err := VerifyCuckaroom(SipHashKeys[29], v2_29SolCuckaroom, 29) + assert.Equal(t, err, nil) +} + +func TestPow19(t *testing.T) { + header := make([]byte, 80) + b := []byte("123") + copy(header[:len([]byte(b))], b[:]) + nonce := uint32(103) + nonceBytes := make([]byte, 4) + binary.LittleEndian.PutUint32(nonceBytes, nonce) + copy(header[76:], nonceBytes[:]) + h := blake2b.Sum256(header) + sipHashKeys := SipHashKey(h[:]) + for k := 0; k < 4; k++ { + fmt.Printf("0x%x\n", sipHashKeys[k]) + } + nonces := []uint32{0x2e7, 0x93b5, 0x1112b, 0x11e3c, 0x12fe0, 0x14d25, 0x16fd1, 0x171d2, 0x19156, 0x1ff58, + 0x2565b, 0x2729e, 0x29552, 0x2de76, 0x34181, 0x349d9, 0x36e7f, 0x3cc36, 0x3f213, 0x405cd, 0x41f27, 0x49a18, + 0x4bdb7, 0x4d7f9, 0x4f116, 0x51761, 0x54ef8, 0x560f4, 0x5a7fa, 0x5efbc, 0x65629, 0x667bc, 0x6819d, 0x6d117, + 0x6d9a8, 0x6fa59, 0x723b7, 0x73c8c, 0x7a478, 0x7a592, 0x7b869, 0x7d030} + err := VerifyCuckaroom(sipHashKeys, nonces, 19) + assert.Equal(t, err, nil) +} diff --git a/crypto/cuckoo/cuckatoo.go b/crypto/cuckoo/cuckatoo.go new file mode 100644 index 0000000..c6547b0 --- /dev/null +++ b/crypto/cuckoo/cuckatoo.go @@ -0,0 +1,87 @@ +// Copyright (c) 2017-2018 The qitmeer developers +package cuckoo + +import ( + "errors" + "fmt" + "github.com/Qitmeer/qng-core/crypto/cuckoo/siphash" + "log" +) + +func Sipnode(h *siphash.SipHash, edge, uorv uint64, shift bool, edgemask uint64) uint64 { + sipHash := siphash.SiphashPRF(&h.V, uint64(2*edge)+uorv) + masked := sipHash & edgemask + if shift { + masked <<= 1 + masked |= uint64(uorv) + } + return masked +} + +//Verify cuckoo nonces. +func VerifyCuckatoo(sipkey []byte, nonces []uint32, edgeBits uint) error { + nedge := (1 << edgeBits) //number of edges： + nnode := 2 * nedge // + edgemask := nedge - 1 // used to mask siphash output + easiness := uint32(nnode * 50 / 100) // + sip := siphash.Newsip(sipkey) + var uvs [2 * ProofSize]uint64 + var xor0, xor1 uint64 + xor0 = (ProofSize / 2) & 1 + xor1 = xor0 + if len(nonces) != ProofSize { + return errors.New("length of nonce is not correct") + } + + if nonces[ProofSize-1] > easiness { + return errors.New("nonce is too big") + } + + for n := 0; n < ProofSize; n++ { + if n > 0 && nonces[n] <= nonces[n-1] { + fmt.Printf("n=%d\n", n) + return errors.New("nonces are not in order") + } + uvs[2*n] = Sipnode(sip, uint64(nonces[n]), uint64(0), false, uint64(edgemask)) + uvs[2*n+1] = Sipnode(sip, uint64(nonces[n]), uint64(1), false, uint64(edgemask)) + xor0 ^= uvs[2*n] + xor1 ^= uvs[2*n+1] + } + if xor0 != 0 { + log.Println(xor0) + return errors.New("U endpoinsts don't match") + } + if xor1 != 0 { + log.Println(xor1) + return errors.New("V endpoinsts don't match") + } + n := 0 + for i := 0; ; { + another := i + k := another + for { + k = (k + 2) % (2 * ProofSize) + if k == i { + break + } + if (uvs[k] >> 1) == (uvs[i] >> 1) { + if another != i { + return errors.New("there are branches in nonce") + } + another = k + } + } + if another == i || uvs[another] == uvs[i] { + return errors.New("dead end in nonce") + } + i = another ^ 1 + n++ + if i == 0 { + break + } + } + if n != ProofSize { + return fmt.Errorf("%d cycle is too short", n) + } + return nil +} diff --git a/crypto/cuckoo/cuckoo.go b/crypto/cuckoo/cuckoo.go new file mode 100644 index 0000000..b49eb11 --- /dev/null +++ b/crypto/cuckoo/cuckoo.go @@ -0,0 +1,660 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// cuckoo cpu mining from network +package cuckoo + +import ( + "encoding/binary" + "errors" + "github.com/Qitmeer/qng-core/crypto/cuckoo/siphash" + "runtime" + "sort" + "sync" +) + +const ( + ProofSize = 42 //ProofSize is the number of nonces and cycles. the (even) length of the cycle to be found. a minimum of 12 is recommended. + + Edgebits = 24 //the 2-log of the graph size,which is the size in bits of the node identifiers. the size of the edge indices in the Cuckoo Cycle graph. + //Edgebits = 29 + Nedge = 1 << Edgebits //number of edges： + edgemask = Nedge - 1 // used to mask siphash output + nnode = 2 * Nedge // + Easiness = nnode * 50 / 100 // + maxpath = 8192 + //maxpath = 8 << ((Edgebits + 2)/3) //2048 + + xbits = 5 + comp0bits = 32 - Edgebits + comp1bits = 6 + xmask = 0x1f + zmask = 0x3fff + comp0mask = 0xff + ycomp0mask = 0x1fff // 5+8 + xymask = 0x3ff // 5+5 + xycomp1mask = 0x1ffff //5+5+6+1 + + nx = 1 << xbits + zbits = Edgebits - 2*xbits + nz = 1 << zbits // 2^14,16384 + bigeps = nz + nz*3/64 +) + +//Cuckoo is struct for cuckoo miner. +type Cuckoo struct { + cuckoo []uint32 + sip *siphash.SipHash + matrix [nx][nx]bucket //stores all edges in a matrix of NX * NX buckets, where NX = 2^XBITS is the number of possible values of the 'X' bits. + ncpu int + m2 [][nx]bucket + + us []uint32 + vs []uint32 + matrixs [][nx][nx]bucket + m2tmp [][nx]bucket +} + +type edges struct { + edge []uint64 + uxymap []bool +} +type bucket []uint64 + +//NewCuckoo returns Cuckoo struct to do PoW. +func NewCuckoo() *Cuckoo { + ncpu := runtime.NumCPU() + c := &Cuckoo{ + cuckoo: make([]uint32, 1<<17+1), // + ncpu: ncpu, // + us: make([]uint32, 0, maxpath), // + vs: make([]uint32, 0, maxpath), + matrixs: make([][nx][nx]bucket, ncpu), // + m2tmp: make([][nx]bucket, ncpu), + } + if c.ncpu > 32 { + c.ncpu = 32 + } + c.m2 = make([][nx]bucket, c.ncpu) // + for i := 0; i < c.ncpu; i++ { + for x := 0; x < nx; x++ { + c.m2[i][x] = make(bucket, 0, bigeps) + } + } + for x := 0; x < nx; x++ { + for y := 0; y < nx; y++ { + c.matrix[x][y] = make([]uint64, 0, bigeps) + } + } + for j := 0; j < c.ncpu; j++ { + for x := 0; x < nx; x++ { + for y := 0; y < nx; y++ { + c.matrixs[j][x][y] = make(bucket, 0, bigeps/c.ncpu) + } + } + } + for j := 0; j < c.ncpu; j++ { + for i := range c.m2tmp[j] { + c.m2tmp[j][i] = make([]uint64, 0, bigeps) + } + } + + return c +} + +//PoW does PoW with hash, which is the key for siphash. +func (c *Cuckoo) PoW(siphashKey []byte) ([]uint32, bool) { + for i := 0; i < c.ncpu; i++ { + for x := 0; x < nx; x++ { + c.m2[i][x] = c.m2[i][x][:0] + } + } + //fmt.Printf("PoW() c.m2 = %v\n",c.m2) + + for x := 0; x < nx; x++ { + for y := 0; y < nx; y++ { + c.matrix[x][y] = c.matrix[x][y][:0] + } + } + //fmt.Printf("PoW() c.matrix = %v\n",c.matrix) + + for i := range c.cuckoo { + c.cuckoo[i] = 0 + } + + // + c.sip = siphash.Newsip(siphashKey) + + //fmt.Printf("before buildU() c.matrix = %v\n",c.matrix) + c.buildU() + //fmt.Printf("after buildU() c.matrix = %v\n",c.matrix) + c.buildV() + //fmt.Printf("after buildV() c.matrix = %v\n",c.matrix) + + c.trimmimng() + + for _, ux := range c.matrix { + for _, m := range ux { + for _, uv := range m { + u := uint32(uv>>32) << 1 + v := (uint32(uv) << 1) | 1 + us, err1 := c.path(u, c.us) + vs, err2 := c.path(v, c.vs) + if err1 != nil || err2 != nil { + continue + } + if us[len(us)-1] == vs[len(vs)-1] { + if ans, ok := c.solution(us, vs); ok { + return ans, true + } + continue + } + if len(us) < len(vs) { + for nu := len(us) - 2; nu >= 0; nu-- { + c.cuckoo[us[nu+1]&xycomp1mask] = us[nu] + } + c.cuckoo[u&xycomp1mask] = v + } else { + for nv := len(vs) - 2; nv >= 0; nv-- { + c.cuckoo[vs[nv+1]&xycomp1mask] = vs[nv] + } + c.cuckoo[v&xycomp1mask] = u + } + } + } + } + return nil, false +} + +// HashToBig converts a hash.Hash into a big.Int that can be used to +// perform math comparisons. +func Uint32ToBytes(v []uint32) []byte { + var buf = make([]byte, 4*len(v)) + for i, x := range v { + binary.LittleEndian.PutUint32(buf[4*i:], x) + } + return buf +} +func (c *Cuckoo) trimmimng() { + var i int + + _, maxv := c.trim(false) + _, maxu := c.trim(true) + for i = 3; maxu > 1<<(comp0bits+1) || maxv > 1<<(comp0bits+1); i += 2 { + _, maxv = c.trim(false) + _, maxu = c.trim(true) + } + c.trimrename0(false) + c.trimrename0(true) + for i += 2; i < 65; i += 2 { + c.trim2(false) + c.trim2(true) + } + c.trimrename1(false) + c.trimrename1(true) +} + +func (c *Cuckoo) path(u uint32, us []uint32) ([]uint32, error) { + us = us[:0] + nu := 0 + for ; u != 0; nu++ { + if nu >= maxpath { + return nil, errors.New("more than maxpath") + } + us = append(us, u) + u = c.cuckoo[u&xycomp1mask] + } + return us, nil +} + +func (c *Cuckoo) solution(us []uint32, vs []uint32) ([]uint32, bool) { + nu := int32(len(us) - 1) + nv := int32(len(vs) - 1) + min := nu + if min > nv { + min = nv + } + nv -= min + nu -= min + for us[nu] != vs[nv] { + nu++ + nv++ + } + l := nu + nv + 1 + if l != ProofSize { + return nil, false + } + + es := newedges() + es.add(us[0], vs[0]) + for nu--; nu >= 0; nu-- { + es.add(us[(nu+1)&^1], us[nu|1]) + } + for nv--; nv >= 0; nv-- { + es.add(vs[nv|1], vs[(nv+1)&^1]) + } + sort.Slice(es.edge, func(i, j int) bool { + return es.edge[i] < es.edge[j] + }) + answer := make([]uint32, 0, ProofSize) + steps := Easiness / c.ncpu + remain := Easiness - steps*c.ncpu + var wg sync.WaitGroup + var mutex sync.Mutex + for j := 0; j < c.ncpu; j++ { + wg.Add(1) + go func(j int) { + var nodesU [8192]uint64 + last := uint64(steps * (j + 1)) + if j == c.ncpu-1 { + last += uint64(remain) + } + loop: + for nonce := uint64(steps * j); nonce < last; nonce += 8192 { + siphash.SiphashPRF8192Seq(&c.sip.V, nonce, 0, &nodesU) + for i := uint64(0); i < 8192; i++ { + u0 := nodesU[i] & edgemask + if es.uxymap[(u0>>zbits)&xymask] { + v0 := siphash.SiphashPRF(&c.sip.V, ((nonce+i)<<1)|1) & edgemask + if es.find((u0<<32)|v0, 0, len(es.edge)-1) { + mutex.Lock() + answer = append(answer, uint32(nonce+i)) + if len(answer) >= ProofSize { + mutex.Unlock() + break loop + } + mutex.Unlock() + } + } + } + } + wg.Done() + }(j) + } + wg.Wait() + sort.Slice(answer, func(i, j int) bool { + return answer[i] < answer[j] + }) + return answer, true +} + +func (c *Cuckoo) buildU() { + var wg sync.WaitGroup + for j := 0; j < c.ncpu; j++ { + for x := 0; x < nx; x++ { // nx = 2^5 + for y := 0; y < nx; y++ { + c.matrixs[j][x][y] = c.matrixs[j][x][y][:0] + } + } + } + //fmt.Printf("buildU() c.matrixs = %v\n",c.matrixs) + + steps := Easiness / c.ncpu // easiness = 16777216 = 2^24, ncpu = 8, steps = 2097152 = 2^21 + remain := Easiness - steps*c.ncpu // remain = 0 + //TODO, 测试用设置 c.ncpu = 1 + //c.ncpu = 1 + for j := 0; j < c.ncpu; j++ { + wg.Add(1) + go func(j int) { + //last = 16777216 + last := uint64((j + 1) * steps) + //fmt.Printf("***j = %v\nlast = %v\n",j,last) + if j == c.ncpu-1 { + last += uint64(remain) + } + var nodesU [8192]uint64 + //last = 3 + for nonce := uint64(steps * j); nonce < last; nonce += 8192 { + + siphash.SiphashPRF8192Seq(&c.sip.V, nonce, 0, &nodesU) + for i := range nodesU { + //fmt.Printf("i = %v\n",i) + //fmt.Printf("nodesU[i] = %v\n",nodesU[i]) + u := nodesU[i] & edgemask // + //fmt.Printf("u = %v\n",u) + if u == 0 { + continue + } + ux := (u >> (Edgebits - xbits)) & xmask + //fmt.Printf("ux = %v\n",ux) + uy := (u >> (Edgebits - 2*xbits)) & xmask + //fmt.Printf("uy = %v\n",uy) + v := ((nonce + uint64(i)) << 32) | u + c.matrixs[j][ux][uy] = append(c.matrixs[j][ux][uy], v) + } + } + wg.Done() + }(j) + } + wg.Wait() + for j := 0; j < c.ncpu; j++ { + for x := 0; x < nx; x++ { + for y := 0; y < nx; y++ { + c.matrix[x][y] = append(c.matrix[x][y], c.matrixs[j][x][y]...) + } + } + } +} + +func (c *Cuckoo) buildV() int { + var wg sync.WaitGroup + c.ncpu = 1 + + num := make([]int, c.ncpu) + steps := nx / c.ncpu // nx = 2^5 = 32 + remain := nx - steps*c.ncpu + for j := 0; j < c.ncpu; j++ { + //println("buildV() j = ",j) + wg.Add(1) + go func(j int) { + var nodesV [8192]uint64 + var nonces [8192]uint64 + var us [8192]uint64 + for i := range c.m2tmp[j] { + c.m2tmp[j][i] = c.m2tmp[j][i][:0] + } + last := (j + 1) * steps // last = 32 + //println("buildV() last = ",last) + if j == c.ncpu-1 { + last += remain + } + //last = 3 + for ux := j * steps; ux < last; ux++ { + mu := c.matrix[ux] + nsip := 0 + //fmt.Println("buildV() mu = ",mu) + for _, m := range mu { + var cnt [nz]byte + //println("len(m) = ",len(m)) + //println("len(cnt) = ",len(cnt)) + for _, nu := range m { + cnt[nu&zmask]++ + } + for _, nu := range m { + if cnt[nu&zmask] == 1 { + continue + } + num[j]++ + //fmt.Printf("buildV() nu = %v\n",nu) + //fmt.Printf("buildV() nonces[nsip] = %v\n",nonces[nsip]) + nonces[nsip] = nu >> 32 // nu / 2^32 + //fmt.Printf("buildV() nonces[nsip] = %v\n",nonces[nsip]) + us[nsip] = nu << 32 // nu * 2^32 + //fmt.Printf("buildV() us[nsip] = %v\n",us[nsip]) + //fmt.Printf("buildV() nsip = %v\n",nsip) + if nsip++; nsip == 8192 { + nsip = 0 + siphash.SiphashPRF8192(&c.sip.V, &nonces, 1, &nodesV) + for i, v := range nodesV { + v &= edgemask // + vx := (v >> (Edgebits - xbits)) & xmask + c.m2tmp[j][vx] = append(c.m2tmp[j][vx], us[i]|v) + } + } + } + } + siphash.SiphashPRF8192(&c.sip.V, &nonces, 1, &nodesV) + for i := 0; i < nsip; i++ { + v := nodesV[i] & edgemask + //fmt.Printf("v = %v\n",v) + //time.Sleep(1 * time.Second) + vx := (v >> (Edgebits - xbits)) & xmask + c.m2tmp[j][vx] = append(c.m2tmp[j][vx], us[i]|v) + } + c.matrix[ux], c.m2tmp[j] = c.m2tmp[j], c.matrix[ux] + for i := range c.m2tmp[j] { + c.m2tmp[j][i] = c.m2tmp[j][i][:0] + } + } + wg.Done() + }(j) + } + wg.Wait() + number := 0 + for j := 0; j < c.ncpu; j++ { + number += num[j] + } + return number +} + +func (c *Cuckoo) trim(isU bool) (int, int) { + var wg sync.WaitGroup + num := make([]int, c.ncpu) + maxbucket := make([]int, c.ncpu) + steps := nx / c.ncpu + remain := nx - steps*c.ncpu + for j := 0; j < c.ncpu; j++ { + wg.Add(1) + go func(j int) { + last := uint32((j + 1) * steps) + if j == c.ncpu-1 { + last += uint32(remain) + } + for ux := uint32(j * steps); ux < last; ux++ { + indexer := c.index(isU, ux) + for vx := uint32(0); vx < nx; vx++ { + m := indexer[vx] + for _, uv := range *m { + y := (uv >> (Edgebits - 2*xbits)) & xmask + c.m2[j][y] = append(c.m2[j][y], uv) + } + *m = (*m)[:0] + } + for i, m2y := range c.m2[j] { + var cnt [nz]byte + for _, uv := range m2y { + cnt[uv&zmask]++ + } + nbucket := 0 + for _, uv := range m2y { + if cnt[uv&zmask] == 1 { + continue + } + nbucket++ + num[j]++ + vu := uv >> 32 + vux := (vu >> (Edgebits - xbits)) & xmask + ruv := (uv << 32) | vu + m := indexer[vux] + *m = append(*m, ruv) + } + c.m2[j][i] = c.m2[j][i][:0] + if maxbucket[j] < nbucket { + maxbucket[j] = nbucket + } + } + } + wg.Done() + }(j) + } + wg.Wait() + number := 0 + maxb := 0 + for j := 0; j < c.ncpu; j++ { + number += num[j] + if maxb < maxbucket[j] { + maxb = maxbucket[j] + } + } + return number, maxb +} + +func (c *Cuckoo) trimrename0(isU bool) int { + num := 0 + for ux := uint32(0); ux < nx; ux++ { + indexer := c.index(isU, ux) + for vx := uint32(0); vx < nx; vx++ { + m := indexer[vx] + for _, uv := range *m { + y := (uv >> (Edgebits - 2*xbits)) & xmask + c.m2[0][y] = append(c.m2[0][y], uv) + } + *m = (*m)[:0] + } + for i, m2y := range c.m2[0] { + var nodeid byte + var cnt [nz]byte + for _, uv := range m2y { + cnt[uv&zmask]++ + } + for _, uv := range m2y { + cntv := cnt[uv&zmask] + if cntv == 1 { + continue + } + num++ + var myid byte + if cntv >= 32 { + myid = cntv - 32 + } else { + myid = nodeid + cnt[uv&zmask] = 32 + nodeid + nodeid++ + } + newuv := uv & 0xffffffff + newuv >>= zbits + newuv |= (uv & zmask) << (2 * xbits) + newuv <<= comp0bits + newuv |= uint64(myid) + vu := uv >> 32 + allbits := uint(Edgebits) + if isU { + allbits = 2*xbits + comp0bits + } + vux := (vu >> (allbits - xbits)) & xmask + ruv := (newuv << 32) | vu + m := indexer[vux] + *m = append(*m, ruv) + } + c.m2[0][i] = c.m2[0][i][:0] + } + } + return num +} + +func (c *Cuckoo) trim2(isU bool) int { + num := 0 + c.m2tmp[0][0] = c.m2tmp[0][0][:0] + for ux := uint32(0); ux < nx; ux++ { + var cnt [1 << (xbits + comp0bits)]byte + indexer := c.index(isU, ux) + for vx := uint32(0); vx < nx; vx++ { + m := indexer[vx] + for _, uv := range *m { + cnt[uv&ycomp0mask]++ + } + } + for vx := uint32(0); vx < nx; vx++ { + m := indexer[vx] + for i := len(*m) - 1; i >= 0; i-- { + uv := (*m)[i] + if cnt[uv&ycomp0mask] == 1 { + continue + } + num++ + c.m2tmp[0][0] = append(c.m2tmp[0][0], (uv<<32)|(uv>>32)) + } + *m, c.m2tmp[0][0] = c.m2tmp[0][0], *m + c.m2tmp[0][0] = c.m2tmp[0][0][:0] + } + } + return num +} + +func (c *Cuckoo) trimrename1(isU bool) int { + num := 0 + for ux := uint32(0); ux < nx; ux++ { + indexer := c.index(isU, ux) + for vx := uint32(0); vx < nx; vx++ { + m := indexer[vx] + for _, uv := range *m { + y := (uv >> comp0bits) & xmask + c.m2[0][y] = append(c.m2[0][y], uv) + } + *m = (*m)[:0] + } + for i, m2y := range c.m2[0] { + var nodeid byte + var cnt [nz]byte + for _, uv := range m2y { + cnt[uv&comp0mask]++ + } + for _, uv := range m2y { + cntv := cnt[uv&comp0mask] + if cntv == 1 { + continue + } + num++ + var myid byte + if cntv >= 32 { + myid = cntv - 32 + } else { + myid = nodeid + cnt[uv&comp0mask] = 32 + nodeid + nodeid++ + } + newuv := uv & 0xffffffff + newuv >>= comp0bits + newuv <<= comp1bits + newuv |= uint64(myid) + vu := uv >> 32 + nbits := uint(comp0bits) + if isU { + nbits = comp1bits + } + vux := (vu >> (nbits + xbits)) & xmask + ruv := (newuv << 32) | vu + m := indexer[vux] + *m = append(*m, ruv) + } + c.m2[0][i] = c.m2[0][i][:0] + } + } + return num +} + +func newedges() *edges { + return &edges{ + edge: make([]uint64, 0, ProofSize), + uxymap: make([]bool, 1<<(2*xbits)), + } +} + +func (e *edges) add(u, v uint32) { + u >>= 1 + uz := u >> (2*xbits + comp1bits) + uxy := (u >> comp1bits) & xymask + ru := (uxy << zbits) | uz + e.uxymap[uxy] = true + v >>= 1 + vz := v >> (2*xbits + comp1bits) + vxy := (v >> comp1bits) & xymask + rv := (vxy << zbits) | vz + e.edge = append(e.edge, (uint64(ru)<<32)|uint64(rv)) +} + +func (e *edges) find(uv uint64, min, max int) bool { + if max < min { + return false + } + mid := (min + max) / 2 + if e.edge[mid] > uv { + return e.find(uv, min, mid-1) + } + if e.edge[mid] < uv { + return e.find(uv, mid+1, max) + } + return true +} + +func (c *Cuckoo) index(isU bool, x uint32) [nx]*bucket { + var indexer [nx]*bucket + if isU { + for i := 0; i < nx; i++ { + indexer[i] = &c.matrix[x][i] + } + return indexer + } + for i := 0; i < nx; i++ { + indexer[i] = &c.matrix[i][x] + } + return indexer +} diff --git a/crypto/cuckoo/siphash/siphash.go b/crypto/cuckoo/siphash/siphash.go new file mode 100644 index 0000000..bb19a98 --- /dev/null +++ b/crypto/cuckoo/siphash/siphash.go @@ -0,0 +1,258 @@ +package siphash + +import ( + "encoding/binary" +) + +type SipHash struct { + k0, k1 uint64 // two parts of key + V [4]uint64 // v is the current internal state. +} + +/* +siphashKey[:] = [196 107 38 219 80 75 209 213 243 49 219 252 101 35 20 105] +siphashKey[8:] = [243 49 219 252 101 35 20 105] +k0 = 15407178610857372612 +k1 = 7571715794457539059 +before s.V = [0 0 0 0] +after s.V = [12015082867820662449 971459224712208030 13377991302290020773 2121554997101417600] +*/ +func Newsip(siphashKey []byte) *SipHash { + s := &SipHash{ + k0: binary.LittleEndian.Uint64(siphashKey[:]), // 17624113405423192833 + k1: binary.LittleEndian.Uint64(siphashKey[8:]), // 16633022555945065022 + } + + //fmt.Printf("before s.V = %v\n",s.V) + s.V[0] = s.k0 ^ 0x736f6d6570736575 //9798144632717078132, 0x87fa00a173006e74 + s.V[1] = s.k1 ^ 0x646f72616e646f6d //9420175285032990035, 0x82bb2f82f24e3553 + s.V[2] = s.k0 ^ 0x6c7967656e657261 //11019194076704962912,0x98ec0aa16d167960 + s.V[3] = s.k1 ^ 0x7465646279746573 //10570293030476988237,0x92b13981e55e3f4d + + return s +} + +func Siphash(k0, k1, b uint64) uint64 { + // Initialization. + var v [4]uint64 + v[0] = k0 ^ 0x736f6d6570736575 + v[1] = k1 ^ 0x646f72616e646f6d + v[2] = k0 ^ 0x6c7967656e657261 + v[3] = k1 ^ 0x7465646279746573 + return SiphashPRF(&v, b) +} + +func SiphashPRF(v *[4]uint64, b uint64) uint64 { + v0 := v[0] + v1 := v[1] + v2 := v[2] + v3 := v[3] + // Initialization. + // Compression. + v3 ^= b + + // Round 1. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 2. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + v0 ^= b + + // Finalization. + v2 ^= 0xff + + // Round 1. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 2. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 3. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 4. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + return v0 ^ v1 ^ v2 ^ v3 +} + +const sipHashBlockBits uint64 = 6 +const sipHashBlockSize uint64 = 1 << sipHashBlockBits +const sipHashBlockMask uint64 = sipHashBlockSize - 1 + +// SipHashBlock builds a block of siphash values by repeatedly hashing from the +// nonce truncated to its closest block start, up to the end of the block. +// Returns the resulting hash at the nonce's position. +func SipHashBlock(v [4]uint64, nonce uint64, rotE uint8, xorAll bool) uint64 { + // beginning of the block of hashes + nonce0 := nonce & ^sipHashBlockMask + nonceI := nonce & sipHashBlockMask + nonceHash := make([]uint64, sipHashBlockSize) + // repeated hashing over the whole block + s := new(sipHash24) + siphash := s.new(v) + var i uint64 + for i = 0; i < sipHashBlockSize; i++ { + siphash.hash(nonce0+i, rotE) + nonceHash[i] = siphash.digest() + } + // xor the hash at nonce_i < SIPHASH_BLOCK_MASK with some or all later hashes to force hashing the whole block + var xor uint64 = nonceHash[nonceI] + var xorFrom uint64 + if xorAll || nonceI == sipHashBlockMask { + xorFrom = nonceI + 1 + } else { + xorFrom = sipHashBlockMask + } + + for i := xorFrom; i < sipHashBlockSize; i++ { + xor ^= nonceHash[i] + } + return xor +} + +type sipHash24 struct { + v0, v1, v2, v3 uint64 +} + +func (s *sipHash24) new(v [4]uint64) sipHash24 { + return sipHash24{v[0], v[1], v[2], v[3]} +} + +// One siphash24 hashing, consisting of 2 and then 4 rounds +func (s *sipHash24) hash(nonce uint64, rotE uint8) { + s.v3 ^= nonce + s.round(rotE) + s.round(rotE) + + s.v0 ^= nonce + s.v2 ^= 0xff + + for i := 0; i < 4; i++ { + s.round(rotE) + } +} + +// Resulting hash digest +func (s *sipHash24) digest() uint64 { + return (s.v0 ^ s.v1) ^ (s.v2 ^ s.v3) +} + +func (s *sipHash24) round(rotE uint8) { + s.v0 = s.v0 + s.v1 + s.v2 = s.v2 + s.v3 + s.v1 = rotl(s.v1, 13) + s.v3 = rotl(s.v3, 16) + s.v1 ^= s.v0 + s.v3 ^= s.v2 + s.v0 = rotl(s.v0, 32) + s.v2 = s.v2 + s.v1 + s.v0 = s.v0 + s.v3 + s.v1 = rotl(s.v1, 17) + s.v3 = rotl(s.v3, rotE) + s.v1 ^= s.v2 + s.v3 ^= s.v0 + s.v2 = rotl(s.v2, 32) +} + +func rotl(val uint64, shift uint8) uint64 { + num := (val << shift) | (val >> (64 - shift)) + return num +} diff --git a/crypto/cuckoo/siphash/siphash_amd64.go b/crypto/cuckoo/siphash/siphash_amd64.go new file mode 100644 index 0000000..8ff8c30 --- /dev/null +++ b/crypto/cuckoo/siphash/siphash_amd64.go @@ -0,0 +1,29 @@ +//+build amd64 !noasm !appengine + +// Copyright (c) 2019 Aidos Developer + +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in the Software without restriction, including without limitation the rights +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the Software is +// furnished to do so, subject to the following conditions: + +// The above copyright notice and this permission notice shall be included in +// all copies or substantial portions of the Software. + +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +// THE SOFTWARE. + +package siphash + +//go:noescape +func SiphashPRF8192(v *[4]uint64, nonce *[8192]uint64, uorv uint64, result *[8192]uint64) + +//go:noescape +func SiphashPRF8192Seq(v *[4]uint64, nonce uint64, uorv uint64, result *[8192]uint64) diff --git a/crypto/cuckoo/siphash/siphash_amd64.s b/crypto/cuckoo/siphash/siphash_amd64.s new file mode 100644 index 0000000..cc095eb --- /dev/null +++ b/crypto/cuckoo/siphash/siphash_amd64.s @@ -0,0 +1,171 @@ +//+build amd64 !noasm !appengine + +#include "textflag.h" + +/* +X0=v0 +X1=v1 +X2=v2 +X3=v3 +X4:tmp +X5:ff +X6:nonce +X7:rotate16 +X8:X0 +X9:X1 +X10:X2 +X11:X3 +X12:uorv +*/ + +DATA rotate16<>+0x00(SB)/8, $0x0504030201000706 +DATA rotate16<>+0x08(SB)/8, $0x0D0C0B0A09080F0E +GLOBL rotate16<>(SB), (NOPTR+RODATA), $16 + +#define ADD(a,b)\ + PADDQ b, a + +#define XOR(a, b)\ + PXOR b, a + +#define ROT(x,n) \ + MOVOA x, X4 \ + PSLLQ $n, X4 \ + PSRLQ $(64-n), x \ + POR X4, x + +#define ROT16(x) \ + PSHUFB X7, x + +#define ROT32(x) \ + PSHUFD $0xB1, x, x //X5 = X5[1,0,3,2] + + +#define SIPROUND \ + ADD(X0, X1) \ + ADD(X2, X3) \ + ROT(X1, 13) \ + ROT16(X3)\ + XOR(X1, X0)\ + XOR(X3, X2) \ + ROT32(X0) \ + ADD(X2, X1) \ + ADD(X0, X3) \ + ROT(X1, 17) \ + ROT(X3, 21) \ + XOR(X1, X2) \ + XOR(X3, X0) \ + ROT32(X2) + + +#define SIP1 \ + XOR(X3, X6) \ + SIPROUND \ + SIPROUND \ + XOR(X0, X6) \ + PXOR X5, X2 \ + SIPROUND \ + SIPROUND \ + SIPROUND \ + SIPROUND \ + XOR(X0, X1) \ + XOR(X2, X3) \ + XOR(X0, X2) + +#define NSIP \ + MOVOU (CX),X6 \ + PSLLQ $1, X6 \ + POR X12,X6 \ + ADDQ $16, CX \ + MOVOA X8,X0 \ + MOVOA X9,X1 \ + MOVOA X10,X2 \ + MOVOA X11,X3 \ + SIP1 \ + MOVOU X0, (BX) \ + ADDQ $16, BX + +//func siphashPRF8192(v *[4]uint64, nonce *[8192]uint64, uorv uint64, result *[8192]uint64) +TEXT ·SiphashPRF8192(SB), NOSPLIT, $0 + MOVQ $0xff, AX + MOVQ AX, X5 + MOVLHPS X5, X5 + MOVOA rotate16<>(SB),X7 + + MOVQ v+0(FP), CX + MOVQ (CX), X8 + ADDQ $8, CX + MOVQ (CX), X9 + ADDQ $8, CX + MOVQ (CX), X10 + ADDQ $8, CX + MOVQ (CX), X11 + MOVQ nonce+8(FP), CX + MOVQ uorv+16(FP), X12 + MOVQ result+24(FP), BX + MOVLHPS X8, X8 + MOVLHPS X9, X9 + MOVLHPS X10, X10 + MOVLHPS X11, X11 + MOVLHPS X12, X12 + + MOVQ $4096,R8 +L1: + NSIP //0 + DECQ R8 + JNZ L1 + RET + +#define NSIP_SEQ \ + MOVOA X8,X0 \ + MOVOA X9,X1 \ + MOVOA X10,X2 \ + MOVOA X11,X3 \ + SIP1 \ + MOVOU X0, (BX) \ + ADDQ $16, BX \ + MOVQ $4, AX \ + MOVQ AX, X4 \ + MOVLHPS X4, X4 \ + PADDQ X4, X6 \ + + +//func siphashPRF8192Seq(v *[4]uint64, nonce uint64, uorv uint64, result *[8192]uint64) +TEXT ·SiphashPRF8192Seq(SB), NOSPLIT, $0 + MOVQ $0xff, AX + MOVQ AX, X5 + MOVLHPS X5, X5 + MOVOA rotate16<>(SB),X7 + + MOVQ v+0(FP), CX + MOVQ (CX), X8 + ADDQ $8, CX + MOVQ (CX), X9 + ADDQ $8, CX + MOVQ (CX), X10 + ADDQ $8, CX + MOVQ (CX), X11 + MOVQ nonce+8(FP), X6 + MOVQ uorv+16(FP), X12 + MOVQ result+24(FP), BX + MOVLHPS X8, X8 + MOVLHPS X9, X9 + MOVLHPS X10, X10 + MOVLHPS X11, X11 + MOVLHPS X12, X12 + + MOVLHPS X6, X6 + MOVQ $1, AX + MOVQ AX, X4 + PSHUFD $0x4e, X4, X4 //0x01001110 + PADDQ X4, X6 + PSLLQ $1, X6 + POR X12, X6 + + MOVQ $4096,R8 +L2: + NSIP_SEQ //0 + DECQ R8 + JNZ L2 + RET + diff --git a/crypto/cuckoo/siphash/siphash_other.go b/crypto/cuckoo/siphash/siphash_other.go new file mode 100644 index 0000000..16c791d --- /dev/null +++ b/crypto/cuckoo/siphash/siphash_other.go @@ -0,0 +1,298 @@ +//+build !amd64 + +// Copyright (c) 2019 Aidos Developer + +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in the Software without restriction, including without limitation the rights +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the Software is +// furnished to do so, subject to the following conditions: + +// The above copyright notice and this permission notice shall be included in +// all copies or substantial portions of the Software. + +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +// THE SOFTWARE. + +// Original license from https://github.com/dchest/siphash +// Written in 2012 by Dmitry Chestnykh. +// +// To the extent possible under law, the author have dedicated all copyright +// and related and neighboring rights to this software to the public domain +// worldwide. This software is distributed without any warranty. +// http://creativecommons.org/publicdomain/zero/1.0/ + +package siphash + +func SiphashPRF8192(v *[4]uint64, nonce *[8192]uint64, uorv uint64, result *[8192]uint64) { + for i := range nonce { + b := (nonce[i] << 1) | uorv + v0 := v[0] + v1 := v[1] + v2 := v[2] + v3 := v[3] + // Initialization. + // Compression. + v3 ^= b + + // Round 1. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 2. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + v0 ^= b + + // Finalization. + v2 ^= 0xff + + // Round 1. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 2. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 3. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 4. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + result[i] = v0 ^ v1 ^ v2 ^ v3 + } +} +func SiphashPRF8192Seq(v *[4]uint64, nonce uint64, uorv uint64, result *[8192]uint64) { + for i := uint64(0); i < uint64(len(result)); i++ { + b := ((nonce + i) << 1) | uorv + v0 := v[0] + v1 := v[1] + v2 := v[2] + v3 := v[3] + // Initialization. + // Compression. + v3 ^= b + + // Round 1. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 2. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + v0 ^= b + + // Finalization. + v2 ^= 0xff + + // Round 1. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 2. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 3. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + // Round 4. + v0 += v1 + v1 = v1<<13 | v1>>(64-13) + v1 ^= v0 + v0 = v0<<32 | v0>>(64-32) + + v2 += v3 + v3 = v3<<16 | v3>>(64-16) + v3 ^= v2 + + v0 += v3 + v3 = v3<<21 | v3>>(64-21) + v3 ^= v0 + + v2 += v1 + v1 = v1<<17 | v1>>(64-17) + v1 ^= v2 + v2 = v2<<32 | v2>>(64-32) + + result[i] = v0 ^ v1 ^ v2 ^ v3 + } +} diff --git a/crypto/cuckoo/siphash/siphash_test.go b/crypto/cuckoo/siphash/siphash_test.go new file mode 100644 index 0000000..4cef0c7 --- /dev/null +++ b/crypto/cuckoo/siphash/siphash_test.go @@ -0,0 +1,134 @@ +// Copyright (c) 2019 Aidos Developer + +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in the Software without restriction, including without limitation the rights +// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +// copies of the Software, and to permit persons to whom the Software is +// furnished to do so, subject to the following conditions: + +// The above copyright notice and this permission notice shall be included in +// all copies or substantial portions of the Software. + +// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +// THE SOFTWARE. + +package siphash + +import ( + "math/rand" + "testing" +) + +func TestSiphash(t *testing.T) { + var k0 uint64 = 0x0011223344556677 + var k1 uint64 = 0x8899aabbccddeeff + var b0 uint64 = 0x7766554433221100 + var b1 uint64 = 0xffeeddccbbaa9988 + + var r0 uint64 = 12289717139560654282 + var r1 uint64 = 9875031879028705471 + + h0 := Siphash(k0, k1, b0) + h1 := Siphash(k0, k1, b1) + if h0 != r0 || h1 != r1 { + t.Error("incorrect resut0\n") + } + var v [4]uint64 + v[0] = k0 ^ 0x736f6d6570736575 + v[1] = k1 ^ 0x646f72616e646f6d + v[2] = k0 ^ 0x6c7967656e657261 + v[3] = k1 ^ 0x7465646279746573 + h0 = SiphashPRF(&v, b0) + h1 = SiphashPRF(&v, b1) + if h0 != r0 || h1 != r1 { + t.Error("incorrect resut\n") + } +} + +func TestSiphash16(t *testing.T) { + var k0 uint64 = 0x0011223344556677 + var k1 uint64 = 0x8899aabbccddeeff + var v [4]uint64 + v[0] = k0 ^ 0x736f6d6570736575 + v[1] = k1 ^ 0x646f72616e646f6d + v[2] = k0 ^ 0x6c7967656e657261 + v[3] = k1 ^ 0x7465646279746573 + var nonce [8192]uint64 + for i := range nonce { + nonce[i] = uint64(rand.Int63()) + } + var uorv uint64 = 1 + res := make([]uint64, 8192) + for i := range res { + b := (nonce[i] << 1) | uorv + res[i] = Siphash(k0, k1, b) + } + var ts [8192]uint64 + SiphashPRF8192(&v, &nonce, uorv, &ts) + for i := range ts { + if ts[i] != res[i] { + t.Error("invalid siphash16 at", i) + } + } +} + +func TestSiphash16Seq(t *testing.T) { + var k0 uint64 = 0x0011223344556677 + var k1 uint64 = 0x8899aabbccddeeff + var v [4]uint64 + v[0] = k0 ^ 0x736f6d6570736575 + v[1] = k1 ^ 0x646f72616e646f6d + v[2] = k0 ^ 0x6c7967656e657261 + v[3] = k1 ^ 0x7465646279746573 + nonce := uint64(rand.Int63()) + var uorv uint64 = 1 + res := make([]uint64, 8192) + for i := range res { + b := ((nonce + uint64(i)) << 1) | uorv + res[i] = Siphash(k0, k1, b) + } + var ts [8192]uint64 + SiphashPRF8192Seq(&v, nonce, uorv, &ts) + for i := range ts { + if ts[i] != res[i] { + t.Error("invalid siphash16 at", i) + } + } +} + +func BenchmarkSiphash(b *testing.B) { + var k0 uint64 = 0x0011223344556677 + var k1 uint64 = 0x8899aabbccddeeff + var b0 uint64 = 0x7766554433221100 + + b.ResetTimer() + for i := 0; i < b.N; i++ { + _ = Siphash(k0, k1, b0) + } +} + +func BenchmarkSiphash16(b *testing.B) { + var k0 uint64 = 0x0011223344556677 + var k1 uint64 = 0x8899aabbccddeeff + var v [4]uint64 + v[0] = k0 ^ 0x736f6d6570736575 + v[1] = k1 ^ 0x646f72616e646f6d + v[2] = k0 ^ 0x6c7967656e657261 + v[3] = k1 ^ 0x7465646279746573 + var nonce [8192]uint64 + for i := range nonce { + nonce[i] = uint64(rand.Int63()) + } + var uorv uint64 = 1 + b.ResetTimer() + var ts [8192]uint64 + for i := 0; i < b.N; i++ { + SiphashPRF8192(&v, &nonce, uorv, &ts) + } +} diff --git a/crypto/ecc/dsa.go b/crypto/ecc/dsa.go new file mode 100644 index 0000000..c7f8c56 --- /dev/null +++ b/crypto/ecc/dsa.go @@ -0,0 +1,141 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package ecc + +import ( + "io" + "math/big" +) + +// DSA is an encapsulating interface for all the functions of a digital +// signature algorithm. +type DSA interface { + // ---------------------------------------------------------------------------- + // Constants + // + // GetP gets the prime modulus of the curve. + GetP() *big.Int + + // GetN gets the prime order of the curve. + GetN() *big.Int + + // ---------------------------------------------------------------------------- + // EC Math + // + // Add adds two points on the curve. + Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) + + // IsOnCurve checks if a given point is on the curve. + IsOnCurve(x *big.Int, y *big.Int) bool + + // ScalarMult gives the product of scalar multiplication of scalar k + // by point (x,y) on the curve. + ScalarMult(x, y *big.Int, k []byte) (*big.Int, *big.Int) + + // ScalarBaseMult gives the product of scalar multiplication of + // scalar k by the base point (generator) of the curve. + ScalarBaseMult(k []byte) (*big.Int, *big.Int) + + // ---------------------------------------------------------------------------- + // Private keys + // + // NewPrivateKey instantiates a new private key for the given + // curve. + NewPrivateKey(*big.Int) PrivateKey + + // PrivKeyFromBytes calculates the public key from serialized bytes, + // and returns both it and the private key. + PrivKeyFromBytes(pk []byte) (PrivateKey, PublicKey) + + // PrivKeyFromScalar calculates the public key from serialized scalar + // bytes, and returns both it and the private key. Useful for curves + // like Ed25519, where serialized private keys are different from + // serialized private scalars. + PrivKeyFromScalar(pk []byte) (PrivateKey, PublicKey) + + // PrivKeyBytesLen returns the length of a serialized private key. + PrivKeyBytesLen() int + + // ---------------------------------------------------------------------------- + // Public keys + // + // NewPublicKey instantiates a new public key (point) for the + // given curve. + NewPublicKey(x *big.Int, y *big.Int) PublicKey + + // ParsePubKey parses a serialized public key for the given + // curve and returns a public key. + ParsePubKey(pubKeyStr []byte) (PublicKey, error) + + // PubKeyBytesLen returns the length of the default serialization + // method for a public key. + PubKeyBytesLen() int + + // PubKeyBytesLenUncompressed returns the length of the uncompressed + // serialization method for a public key. + PubKeyBytesLenUncompressed() int + + // PubKeyBytesLenCompressed returns the length of the compressed + // serialization method for a public key. + PubKeyBytesLenCompressed() int + + // ---------------------------------------------------------------------------- + // Signatures + // + // NewSignature instantiates a new signature for the given ECDSA + // method. + NewSignature(r *big.Int, s *big.Int) Signature + + // ParseDERSignature parses a DER encoded signature for the given + // ECDSA method. If the method doesn't support DER signatures, it + // just parses with the default method. + ParseDERSignature(sigStr []byte) (Signature, error) + + // ParseSignature a default encoded signature for the given ECDSA + // method. + ParseSignature(sigStr []byte) (Signature, error) + + // RecoverCompact recovers a public key from an encoded signature + // and message, then verifies the signature against the public + // key. + RecoverCompact(signature, hash []byte) (PublicKey, bool, error) + + // ---------------------------------------------------------------------------- + // ECDSA + // + // GenerateKey generates a new private and public keypair from the + // given reader. + GenerateKey(rand io.Reader) ([]byte, *big.Int, *big.Int, error) + + // Sign produces an ECDSA signature in the form of (R,S) using a + // private key and a message. + Sign(priv PrivateKey, hash []byte) (r, s *big.Int, err error) + + // Verify verifies an ECDSA signature against a given message and + // public key. + Verify(pub PublicKey, hash []byte, r, s *big.Int) bool + + // ---------------------------------------------------------------------------- + // Symmetric cipher encryption + // + // GenerateSharedSecret generates a shared secret using a private scalar + // and a public key using ECDH. + GenerateSharedSecret(privkey []byte, x, y *big.Int) []byte + + // Encrypt encrypts data to a recipient public key. + Encrypt(x, y *big.Int, in []byte) ([]byte, error) + + // Decrypt decrypts data encoded to the public key that originates + // from the passed private scalar. + Decrypt(privkey []byte, in []byte) ([]byte, error) +} + +// Secp256k1 is the secp256k1 curve and ECDSA system used in Bitcoin. +var Secp256k1 = newSecp256k1DSA() + +// Edwards is the Ed25519 ECDSA signature system. +var Ed25519 = newEdwardsDSA() + +// SecSchnorr is a Schnorr signature scheme about the secp256k1 curve +// implemented in libsecp256k1. +var SecSchnorr = newSecSchnorrDSA() diff --git a/crypto/ecc/ec.go b/crypto/ecc/ec.go new file mode 100644 index 0000000..87cda97 --- /dev/null +++ b/crypto/ecc/ec.go @@ -0,0 +1,95 @@ +// Copyright (c) 2017-2018 The qitmeer developers + +package ecc + +import ( + "crypto/ecdsa" + "math/big" +) + +// The Ec Type +type EcType int + +const ( + // the secp256k1 curve and ECDSA system used in Bitcoin and Ethereum + ECDSA_Secp256k1 EcType = iota // 0 + + // the Ed25519 ECDSA signature system. + EdDSA_Ed25519 // 1 + + // the Schnorr signature scheme + // TODO + // 1.) the secp256k1 curve implemented in libsecp256k1 + // 2.) the Schnorr signatures over Curve25519 + ECDSA_SecpSchnorr // 2 + + // the Sm2 ecdsa, SM2-P-256 + // TODO, try github.com/tjfoc/gmsm/sm2 + ECDSA_SM2 +) + +// Key represents a ec key +type Key interface { + + // returns a serialized representation of this key + Serialize() []byte + + // GetType returns the ECDSA type of this key. + GetType() int +} + +// PublicKey is an interface representing a public key and its associated +// functions. +type PublicKey interface { + Key + + // SerializeUncompressed serializes to the uncompressed format (if + // available). + SerializeUncompressed() []byte + + // SerializeCompressed serializes to the compressed format (if + // available). + SerializeCompressed() []byte + + // ToECDSA converts the public key to an ECDSA public key. + ToECDSA() *ecdsa.PublicKey + + // GetCurve returns the current curve as an interface. + GetCurve() interface{} + + // GetX returns the point's X value. + GetX() *big.Int + + // GetY returns the point's Y value. + GetY() *big.Int +} + +// PrivateKey is an interface representing a private key and its associated +// functions. +type PrivateKey interface { + Key + + // SerializeSecret serializes the secret to the default serialization + // format. Used for Ed25519. + SerializeSecret() []byte + + // Public returns the (X,Y) coordinates of the point produced + // by scalar multiplication of the scalar by the base point, + // AKA the public key. + Public() (*big.Int, *big.Int) + + // GetD returns the value of the private scalar. + GetD() *big.Int +} + +// Signature is an interface representing a signature and its associated +// functions. +type Signature interface { + Key + + // GetR gets the R value of the signature. + GetR() *big.Int + + // GetS gets the S value of the signature. + GetS() *big.Int +} diff --git a/crypto/ecc/ed25519.go b/crypto/ecc/ed25519.go new file mode 100644 index 0000000..1ca55f3 --- /dev/null +++ b/crypto/ecc/ed25519.go @@ -0,0 +1,328 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package ecc + +import ( + "errors" + "io" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519" +) + +type edwardsDSA struct { + // Constants + getN func() *big.Int + getP func() *big.Int + + // EC Math + add func(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) + isOnCurve func(x *big.Int, y *big.Int) bool + scalarMult func(x, y *big.Int, k []byte) (*big.Int, *big.Int) + scalarBaseMult func(k []byte) (*big.Int, *big.Int) + + // Private keys + newPrivateKey func(d *big.Int) PrivateKey + privKeyFromBytes func(pk []byte) (PrivateKey, PublicKey) + privKeyFromScalar func(pk []byte) (PrivateKey, PublicKey) + privKeyBytesLen func() int + + // Public keys + newPublicKey func(x *big.Int, y *big.Int) PublicKey + parsePubKey func(pubKeyStr []byte) (PublicKey, error) + pubKeyBytesLen func() int + pubKeyBytesLenUncompressed func() int + pubKeyBytesLenCompressed func() int + + // Signatures + newSignature func(r *big.Int, s *big.Int) Signature + parseDERSignature func(sigStr []byte) (Signature, error) + parseSignature func(sigStr []byte) (Signature, error) + recoverCompact func(signature, hash []byte) (PublicKey, bool, error) + + // ECDSA + generateKey func(rand io.Reader) ([]byte, *big.Int, *big.Int, error) + sign func(priv PrivateKey, hash []byte) (r, s *big.Int, err error) + verify func(pub PublicKey, hash []byte, r, s *big.Int) bool + + // Symmetric cipher encryption + generateSharedSecret func(privkey []byte, x, y *big.Int) []byte + encrypt func(x, y *big.Int, in []byte) ([]byte, error) + decrypt func(privkey []byte, in []byte) ([]byte, error) +} + +var ( + edwardsCurve = edwards.Edwards() +) + +// Boilerplate exported functions to make the struct interact with the interface. +// Constants +func (e edwardsDSA) GetP() *big.Int { + return e.getP() +} +func (e edwardsDSA) GetN() *big.Int { + return e.getN() +} + +// EC Math +func (e edwardsDSA) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + return e.add(x1, y1, x2, y2) +} +func (e edwardsDSA) IsOnCurve(x, y *big.Int) bool { + return e.isOnCurve(x, y) +} +func (e edwardsDSA) ScalarMult(x, y *big.Int, k []byte) (*big.Int, *big.Int) { + return e.scalarMult(x, y, k) +} +func (e edwardsDSA) ScalarBaseMult(k []byte) (*big.Int, *big.Int) { + return e.scalarBaseMult(k) +} + +// Private keys +func (e edwardsDSA) NewPrivateKey(d *big.Int) PrivateKey { + return e.newPrivateKey(d) +} +func (e edwardsDSA) PrivKeyFromBytes(pk []byte) (PrivateKey, PublicKey) { + return e.privKeyFromBytes(pk) +} +func (e edwardsDSA) PrivKeyFromScalar(pk []byte) (PrivateKey, PublicKey) { + return e.privKeyFromScalar(pk) +} +func (e edwardsDSA) PrivKeyBytesLen() int { + return e.privKeyBytesLen() +} + +// Public keys +func (e edwardsDSA) NewPublicKey(x *big.Int, y *big.Int) PublicKey { + return e.newPublicKey(x, y) +} +func (e edwardsDSA) ParsePubKey(pubKeyStr []byte) (PublicKey, error) { + return e.parsePubKey(pubKeyStr) +} +func (e edwardsDSA) PubKeyBytesLen() int { + return e.pubKeyBytesLen() +} +func (e edwardsDSA) PubKeyBytesLenUncompressed() int { + return e.pubKeyBytesLenUncompressed() +} +func (e edwardsDSA) PubKeyBytesLenCompressed() int { + return e.pubKeyBytesLenCompressed() +} + +// Signatures +func (e edwardsDSA) NewSignature(r, s *big.Int) Signature { + return e.newSignature(r, s) +} +func (e edwardsDSA) ParseDERSignature(sigStr []byte) (Signature, error) { + return e.parseDERSignature(sigStr) +} +func (e edwardsDSA) ParseSignature(sigStr []byte) (Signature, error) { + return e.parseSignature(sigStr) +} +func (e edwardsDSA) RecoverCompact(signature, hash []byte) (PublicKey, bool, + error) { + return e.recoverCompact(signature, hash) +} + +// ECDSA +func (e edwardsDSA) GenerateKey(rand io.Reader) ([]byte, *big.Int, *big.Int, + error) { + return e.generateKey(rand) +} +func (e edwardsDSA) Sign(priv PrivateKey, hash []byte) (r, s *big.Int, + err error) { + r, s, err = e.sign(priv, hash) + return +} +func (e edwardsDSA) Verify(pub PublicKey, hash []byte, r, s *big.Int) bool { + return e.verify(pub, hash, r, s) +} + +// Symmetric cipher encryption +func (e edwardsDSA) GenerateSharedSecret(privkey []byte, x, y *big.Int) []byte { + return e.generateSharedSecret(privkey, x, y) +} +func (e edwardsDSA) Encrypt(x, y *big.Int, in []byte) ([]byte, + error) { + return e.encrypt(x, y, in) +} +func (e edwardsDSA) Decrypt(privkey []byte, in []byte) ([]byte, + error) { + return e.decrypt(privkey, in) +} + +// newEdwardsDSA instatiates a function DSA subsystem over the edwards 25519 +// curve. A caveat for the functions below is that they're all routed through +// interfaces, and nil returns from the library itself for interfaces must +// ALWAYS be checked by checking the return value by attempted dereference +// (== nil). +func newEdwardsDSA() DSA { + var ed DSA = &edwardsDSA{ + // Constants + getP: func() *big.Int { + return edwardsCurve.P + }, + getN: func() *big.Int { + return edwardsCurve.N + }, + + // EC Math + add: func(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + return edwardsCurve.Add(x1, y1, x2, y2) + }, + isOnCurve: func(x, y *big.Int) bool { + return edwardsCurve.IsOnCurve(x, y) + }, + scalarMult: func(x, y *big.Int, k []byte) (*big.Int, *big.Int) { + return edwardsCurve.ScalarMult(x, y, k) + }, + scalarBaseMult: func(k []byte) (*big.Int, *big.Int) { + return edwardsCurve.ScalarBaseMult(k) + }, + + // Private keys + newPrivateKey: func(d *big.Int) PrivateKey { + pk := edwards.NewPrivateKey(edwardsCurve, d) + if pk != nil { + return PrivateKey(*pk) + } + return nil + }, + privKeyFromBytes: func(pk []byte) (PrivateKey, PublicKey) { + priv, pub := edwards.PrivKeyFromBytes(edwardsCurve, pk) + if priv == nil { + return nil, nil + } + if pub == nil { + return nil, nil + } + tpriv := PrivateKey(*priv) + tpub := PublicKey(*pub) + return tpriv, tpub + }, + privKeyFromScalar: func(pk []byte) (PrivateKey, PublicKey) { + priv, pub, err := edwards.PrivKeyFromScalar(edwardsCurve, pk) + if err != nil { + return nil, nil + } + if priv == nil { + return nil, nil + } + if pub == nil { + return nil, nil + } + tpriv := PrivateKey(*priv) + tpub := PublicKey(*pub) + return tpriv, tpub + }, + privKeyBytesLen: func() int { + return edwards.PrivKeyBytesLen + }, + + // Public keys + newPublicKey: func(x *big.Int, y *big.Int) PublicKey { + pk := edwards.NewPublicKey(edwardsCurve, x, y) + tpk := PublicKey(*pk) + return tpk + }, + parsePubKey: func(pubKeyStr []byte) (PublicKey, error) { + pk, err := edwards.ParsePubKey(edwardsCurve, pubKeyStr) + if err != nil { + return nil, err + } + tpk := PublicKey(*pk) + return tpk, err + }, + pubKeyBytesLen: func() int { + return edwards.PubKeyBytesLen + }, + pubKeyBytesLenUncompressed: func() int { + return edwards.PubKeyBytesLen + }, + pubKeyBytesLenCompressed: func() int { + return edwards.PubKeyBytesLen + }, + + // Signatures + newSignature: func(r *big.Int, s *big.Int) Signature { + sig := edwards.NewSignature(r, s) + ts := Signature(*sig) + return ts + }, + parseDERSignature: func(sigStr []byte) (Signature, error) { + sig, err := edwards.ParseDERSignature(edwardsCurve, sigStr) + if err != nil { + return nil, err + } + ts := Signature(*sig) + return ts, err + }, + parseSignature: func(sigStr []byte) (Signature, error) { + sig, err := edwards.ParseSignature(edwardsCurve, sigStr) + if err != nil { + return nil, err + } + ts := Signature(*sig) + return ts, err + }, + recoverCompact: func(signature, hash []byte) (PublicKey, bool, error) { + pk, bl, err := edwards.RecoverCompact(signature, hash) + tpk := PublicKey(*pk) + return tpk, bl, err + }, + + // ECDSA + generateKey: func(rand io.Reader) ([]byte, *big.Int, *big.Int, error) { + return edwards.GenerateKey(edwardsCurve, rand) + }, + sign: func(priv PrivateKey, hash []byte) (r, s *big.Int, err error) { + if EcType(priv.GetType()) != EdDSA_Ed25519 { + return nil, nil, errors.New("wrong type") + } + epriv, ok := priv.(edwards.PrivateKey) + if !ok { + return nil, nil, errors.New("wrong type") + } + r, s, err = edwards.Sign(edwardsCurve, &epriv, hash) + return + }, + verify: func(pub PublicKey, hash []byte, r, s *big.Int) bool { + if EcType(pub.GetType()) != EdDSA_Ed25519 { + return false + } + epub, ok := pub.(edwards.PublicKey) + if !ok { + return false + } + return edwards.Verify(&epub, hash, r, s) + }, + + // Symmetric cipher encryption + generateSharedSecret: func(privkey []byte, x, y *big.Int) []byte { + privKeyLocal, _, err := edwards.PrivKeyFromScalar(edwardsCurve, + privkey) + if err != nil { + return nil + } + pubkey := edwards.NewPublicKey(edwardsCurve, x, y) + return edwards.GenerateSharedSecret(privKeyLocal, pubkey) + }, + encrypt: func(x, y *big.Int, in []byte) ([]byte, error) { + pubkey := edwards.NewPublicKey(edwardsCurve, x, y) + return edwards.Encrypt(edwardsCurve, pubkey, in) + }, + decrypt: func(privkey []byte, in []byte) ([]byte, error) { + privKeyLocal, _, err := edwards.PrivKeyFromScalar(edwardsCurve, + privkey) + if err != nil { + return nil, err + } + return edwards.Decrypt(edwardsCurve, privKeyLocal, in) + }, + } + + return ed.(DSA) +} diff --git a/crypto/ecc/ed25519/ciphering.go b/crypto/ecc/ed25519/ciphering.go new file mode 100644 index 0000000..a8cd859 --- /dev/null +++ b/crypto/ecc/ed25519/ciphering.go @@ -0,0 +1,202 @@ +// Copyright (c) 2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "crypto/aes" + "crypto/cipher" + "crypto/hmac" + "crypto/rand" + "crypto/sha256" + "crypto/sha512" + "errors" + "io" +) + +var ( + // ErrInvalidMAC occurs when Message Authentication Check (MAC) fails + // during decryption. This happens because of either invalid private key or + // corrupt ciphertext. + ErrInvalidMAC = errors.New("invalid mac hash") + + // errInputTooShort occurs when the input ciphertext to the Decrypt + // function is less than 134 bytes long. + errInputTooShort = errors.New("ciphertext too short") + + // errUnsupportedCurve occurs when the first two bytes of the encrypted + // text aren't 0x02CA (= 712 = secp256k1, from OpenSSL). + errUnsupportedCurve = errors.New("unsupported curve") + errInvalidYLength = errors.New("invalid Y length, must be 32") + errInvalidPadding = errors.New("invalid PKCS#7 padding") + + // 0xFFFF = 65535 + ciphCurveBytes = [2]byte{0xFF, 0xFF} + // 0x20 = 32 + ciphCoordLength = [2]byte{0x00, 0x20} +) + +// GenerateSharedSecret generates a shared secret based on a private key and a +// private key using Diffie-Hellman key exchange (ECDH) (RFC 4753). +// RFC5903 Section 9 states we should only return y. +func GenerateSharedSecret(privkey *PrivateKey, pubkey *PublicKey) []byte { + x, y := pubkey.Curve.ScalarMult(pubkey.X, pubkey.Y, privkey.ecPk.D.Bytes()) + return BigIntPointToEncodedBytes(x, y)[:] +} + +// Encrypt encrypts data for the target public key using AES-256-CBC. It also +// generates a private key (the pubkey of which is also in the output). +// +// struct { +// // Initialization Vector used for AES-256-CBC +// IV [16]byte +// // Public Key: curve(2) + len_of_pubkeyX(2) + pubkeyY (curve = 0xFFFF) +// PublicKey [36]byte +// // Cipher text +// Data []byte +// // HMAC-SHA-256 Message Authentication Code +// HMAC [32]byte +// } +// +// The primary aim is to ensure byte compatibility with Pyelliptic. +// Additionally, refer to section 5.8.1 of ANSI X9.63 for rationale on this +// format. +func Encrypt(curve *TwistedEdwardsCurve, pubkey *PublicKey, in []byte) ([]byte, + error) { + ephemeral, err := GeneratePrivateKey(curve) + if err != nil { + return nil, err + } + ecdhKey := GenerateSharedSecret(ephemeral, pubkey) + derivedKey := sha512.Sum512(ecdhKey) + keyE := derivedKey[:32] + keyM := derivedKey[32:] + + paddedIn := addPKCSPadding(in) + // IV + Curve params/X/Y + padded plaintext/ciphertext + HMAC-256 + out := make([]byte, aes.BlockSize+36+len(paddedIn)+sha256.Size) + iv := out[:aes.BlockSize] + if _, err = io.ReadFull(rand.Reader, iv); err != nil { + return nil, err + } + // start writing public key + ePubX, ePubY := ephemeral.Public() + pbk := NewPublicKey(curve, ePubX, ePubY) + pb := pbk.Serialize() + offset := aes.BlockSize + + // curve and Y length + copy(out[offset:offset+4], append(ciphCurveBytes[:], ciphCoordLength[:]...)) + offset += 4 + // Y + copy(out[offset:offset+32], pb[0:32]) + offset += 32 + + // start encryption + block, err := aes.NewCipher(keyE) + if err != nil { + return nil, err + } + mode := cipher.NewCBCEncrypter(block, iv) + mode.CryptBlocks(out[offset:len(out)-sha256.Size], paddedIn) + + // start HMAC-SHA-256 + hm := hmac.New(sha256.New, keyM) + hm.Write(out[:len(out)-sha256.Size]) // everything is hashed + copy(out[len(out)-sha256.Size:], hm.Sum(nil)) // write checksum + + return out, nil +} + +// Decrypt decrypts data that was encrypted using the Encrypt function. +func Decrypt(curve *TwistedEdwardsCurve, priv *PrivateKey, in []byte) ([]byte, + error) { + // IV + Curve params/X/Y + 1 block + HMAC-256 + if len(in) < aes.BlockSize+36+aes.BlockSize+sha256.Size { + return nil, errInputTooShort + } + + // read iv + iv := in[:aes.BlockSize] + offset := aes.BlockSize + + // start reading pubkey + if !bytes.Equal(in[offset:offset+2], ciphCurveBytes[:]) { + return nil, errUnsupportedCurve + } + offset += 2 + + if !bytes.Equal(in[offset:offset+2], ciphCoordLength[:]) { + return nil, errInvalidYLength + } + offset += 2 + + yBytes := in[offset : offset+32] + offset += 32 + + pb := make([]byte, 32) + copy(pb[0:32], yBytes) + + // check if (X, Y) lies on the curve and create a Pubkey if it does + pubkey, err := ParsePubKey(curve, pb) + if err != nil { + return nil, err + } + + // check for cipher text length + if (len(in)-aes.BlockSize-offset-sha256.Size)%aes.BlockSize != 0 { + return nil, errInvalidPadding // not padded to 16 bytes + } + + // read hmac + messageMAC := in[len(in)-sha256.Size:] + + // generate shared secret + ecdhKey := GenerateSharedSecret(priv, pubkey) + derivedKey := sha512.Sum512(ecdhKey) + keyE := derivedKey[:32] + keyM := derivedKey[32:] + + // verify mac + hm := hmac.New(sha256.New, keyM) + hm.Write(in[:len(in)-sha256.Size]) // everything is hashed + expectedMAC := hm.Sum(nil) + if !hmac.Equal(messageMAC, expectedMAC) { + return nil, ErrInvalidMAC + } + + // start decryption + block, err := aes.NewCipher(keyE) + if err != nil { + return nil, err + } + mode := cipher.NewCBCDecrypter(block, iv) + // same length as ciphertext + plaintext := make([]byte, len(in)-offset-sha256.Size) + mode.CryptBlocks(plaintext, in[offset:len(in)-sha256.Size]) + + return removePKCSPadding(plaintext) +} + +// Implement PKCS#7 padding with block size of 16 (AES block size). + +// addPKCSPadding adds padding to a block of data +func addPKCSPadding(src []byte) []byte { + padding := aes.BlockSize - len(src)%aes.BlockSize + padtext := bytes.Repeat([]byte{byte(padding)}, padding) + return append(src, padtext...) +} + +// removePKCSPadding removes padding from data that was added with addPKCSPadding +func removePKCSPadding(src []byte) ([]byte, error) { + length := len(src) + padLength := int(src[length-1]) + if padLength > aes.BlockSize || length < aes.BlockSize { + return nil, errInvalidPadding + } + + return src[:length-padLength], nil +} diff --git a/crypto/ecc/ed25519/ciphering_test.go b/crypto/ecc/ed25519/ciphering_test.go new file mode 100644 index 0000000..e1da4be --- /dev/null +++ b/crypto/ecc/ed25519/ciphering_test.go @@ -0,0 +1,200 @@ +// Copyright (c) 2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "encoding/hex" + "math/big" + "testing" +) + +func TestGenerateSharedSecret(t *testing.T) { + c := new(TwistedEdwardsCurve) + c.InitParam25519() + privKey1, err := GeneratePrivateKey(c) + if err != nil { + t.Errorf("private key generation error: %s", err) + return + } + privKey2, err := GeneratePrivateKey(c) + if err != nil { + t.Errorf("private key generation error: %s", err) + return + } + + pk1x, pk1y := privKey1.Public() + pk1 := NewPublicKey(c, pk1x, pk1y) + pk2x, pk2y := privKey2.Public() + pk2 := NewPublicKey(c, pk2x, pk2y) + secret1 := GenerateSharedSecret(privKey1, pk2) + secret2 := GenerateSharedSecret(privKey2, pk1) + + if !bytes.Equal(secret1, secret2) { + t.Errorf("ECDH failed, secrets mismatch - first: %x, second: %x", + secret1, secret2) + } +} + +// Test 1: Encryption and decryption +func TestCipheringBasic(t *testing.T) { + c := new(TwistedEdwardsCurve) + c.InitParam25519() + privkey, err := GeneratePrivateKey(c) + if err != nil { + t.Fatal("failed to generate private key") + } + + in := []byte("Hey there dude. How are you doing? This is a test.") + + pk1x, pk1y := privkey.Public() + pk1 := NewPublicKey(c, pk1x, pk1y) + out, err := Encrypt(c, pk1, in) + if err != nil { + t.Fatal("failed to encrypt:", err) + } + + dec, err := Decrypt(c, privkey, out) + if err != nil { + t.Fatal("failed to decrypt:", err) + } + + if !bytes.Equal(in, dec) { + t.Error("decrypted data doesn't match original") + } +} + +func TestCiphering(t *testing.T) { + c := new(TwistedEdwardsCurve) + c.InitParam25519() + + pb, _ := hex.DecodeString("fe38240982f313ae5afb3e904fb8215fb11af1200592b" + + "fca26c96c4738e4bf8f") + pbBig := new(big.Int).SetBytes(pb) + pbBig.Mod(pbBig, c.N) + pb = pbBig.Bytes() + pb = copyBytes(pb)[:] + privkey, pubkey, err := PrivKeyFromScalar(c, pb) + if err != nil { + t.Error(err) + } + in := []byte("This is just a test.") + localOut, err := Encrypt(c, pubkey, in) + if err != nil { + t.Error(err) + } + + out, _ := hex.DecodeString("1ffcb6f11fb9dc57222382019ae710b2ffff0020503f4" + + "117665f80b226961a4a0c0ae229f3b914d43e36238be05b0799623ae6ea0209d3095" + + "04f86635c50baca78d11189d4dc02c2f32c4c11e9d50b04eb2d3ff4b9f95e7f2e90e" + + "0f4a8d64a2a4149c27d21f88f2dedc200f4b609936c0d67ca98") + + _, err = Decrypt(c, privkey, out) + if err != nil { + t.Fatal("failed to decrypt:", err) + } + + dec, err := Decrypt(c, privkey, localOut) + if err != nil { + t.Fatal("failed to decrypt:", err) + } + + if !bytes.Equal(in, dec) { + t.Error("decrypted data doesn't match original") + } +} + +func TestCipheringErrors(t *testing.T) { + c := new(TwistedEdwardsCurve) + c.InitParam25519() + + privkey, err := GeneratePrivateKey(c) + if err != nil { + t.Fatal("failed to generate private key") + } + + tests1 := []struct { + ciphertext []byte // input ciphertext + }{ + {bytes.Repeat([]byte{0x00}, 133)}, // errInputTooShort + {bytes.Repeat([]byte{0x00}, 134)}, // errUnsupportedCurve + {bytes.Repeat([]byte{0xFF, 0xFF}, 134)}, // errInvalidXLength + {bytes.Repeat([]byte{0xFF, 0xFF, 0x00, 0x20}, 134)}, // errInvalidYLength + {[]byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // IV + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xFF, 0xFF, + 0x00, 0x20, // Y length + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // Y + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // ciphertext + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // MAC + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }}, // invalid pubkey + {[]byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // IV + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xFF, 0xFF, + 0x00, 0x20, // Y length + 0x7E, 0x76, 0xDC, 0x58, 0xF6, 0x93, 0xBD, 0x7E, // Y + 0x70, 0x10, 0x35, 0x8C, 0xE6, 0xB1, 0x65, 0xE4, + 0x83, 0xA2, 0x92, 0x10, 0x10, 0xDB, 0x67, 0xAC, + 0x11, 0xB1, 0xB5, 0x1B, 0x65, 0x19, 0x53, 0xD2, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // ciphertext + // padding not aligned to 16 bytes + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // MAC + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }}, // errInvalidPadding + {[]byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // IV + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0xFF, 0xFF, + 0x00, 0x20, // Y length + 0x7E, 0x76, 0xDC, 0x58, 0xF6, 0x93, 0xBD, 0x7E, // Y + 0x70, 0x10, 0x35, 0x8C, 0xE6, 0xB1, 0x65, 0xE4, + 0x83, 0xA2, 0x92, 0x10, 0x10, 0xDB, 0x67, 0xAC, + 0x11, 0xB1, 0xB5, 0x1B, 0x65, 0x19, 0x53, 0xD2, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // ciphertext + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // MAC + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }}, // ErrInvalidMAC + } + + for i, test := range tests1 { + _, err = Decrypt(c, privkey, test.ciphertext) + if err == nil { + t.Errorf("Decrypt #%d did not get error", i) + } + } + + // test error from removePKCSPadding + tests2 := []struct { + in []byte // input data + }{ + {bytes.Repeat([]byte{0x11}, 17)}, + {bytes.Repeat([]byte{0x07}, 15)}, + } + for i, test := range tests2 { + _, err = TstRemovePKCSPadding(test.in) + if err == nil { + t.Errorf("removePKCSPadding #%d did not get error", i) + } + } +} + +// TstRemovePKCSPadding makes the internal removePKCSPadding function available +// to the test package. +func TstRemovePKCSPadding(src []byte) ([]byte, error) { + return removePKCSPadding(src) +} diff --git a/crypto/ecc/ed25519/const.go b/crypto/ecc/ed25519/const.go new file mode 100644 index 0000000..65ef80a --- /dev/null +++ b/crypto/ecc/ed25519/const.go @@ -0,0 +1,57 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal/edwards25519" +) + +var ( + // zero through eight are big.Int numbers useful in + // elliptical curve math. + zero = new(big.Int).SetInt64(0) + one = new(big.Int).SetInt64(1) + two = new(big.Int).SetInt64(2) + three = new(big.Int).SetInt64(3) + four = new(big.Int).SetInt64(4) + eight = new(big.Int).SetInt64(8) + + // fieldIntSize is the size of a field element encoded + // as bytes. + fieldIntSize = 32 +) + +// feOne is the field element representation of one. This is +// also the neutral (null) element. +var feOne = edwards25519.FieldElement{ + 1, 0, 0, 0, 0, + 0, 0, 0, 0, 0, +} + +// feA is the field element representation of one. +var feA = edwards25519.FieldElement{ + 486662, 0, 0, 0, 0, 0, 0, 0, 0, 0, +} + +// fed is the field element representation of D. +var fed = edwards25519.FieldElement{ + -10913610, 13857413, -15372611, 6949391, 114729, + -8787816, -6275908, -3247719, -18696448, -12055116, +} + +// fed2 is the field element representation of D^2. +var fed2 = edwards25519.FieldElement{ + -21827239, -5839606, -30745221, 13898782, 229458, + 15978800, -12551817, -6495438, 29715968, 9444199, +} + +// feI is the field element representation of I. +var feI = edwards25519.FieldElement{ + -32595792, -7943725, 9377950, 3500415, 12389472, + -272473, -25146209, -2005654, 326686, 11406482, +} diff --git a/crypto/ecc/ed25519/curve.go b/crypto/ecc/ed25519/curve.go new file mode 100644 index 0000000..aff452b --- /dev/null +++ b/crypto/ecc/ed25519/curve.go @@ -0,0 +1,410 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "crypto/elliptic" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal/edwards25519" +) + +// TwistedEdwardsCurve extended an elliptical curve set of +// parameters to satisfy the interface of the elliptic package. +type TwistedEdwardsCurve struct { + *elliptic.CurveParams + H int // Cofactor of the curve + + A, D, I *big.Int // Edwards curve equation parameter constants + + // byteSize is simply the bit size / 8 and is provided for convenience + // since it is calculated repeatedly. + byteSize int +} + +// Params returns the parameters for the curve. +func (curve TwistedEdwardsCurve) Params() *elliptic.CurveParams { + return curve.CurveParams +} + +// Marshal converts a point into the 32 byte encoded Ed25519 form. +func Marshal(curve TwistedEdwardsCurve, x, y *big.Int) []byte { + return BigIntPointToEncodedBytes(x, y)[:] +} + +// Unmarshal converts a point into the 32 byte encoded Ed25519 form. +func Unmarshal(curve *TwistedEdwardsCurve, data []byte) (x, y *big.Int) { + var err error + x, y, err = curve.EncodedBytesToBigIntPoint(copyBytes(data)) + if err != nil { + x = nil + y = nil + } + return +} + +// RecoverXBigInt recovers the X value for some Y value, for a coordinate +// on the Ed25519 curve given as a big integer Y value. +func (curve *TwistedEdwardsCurve) RecoverXBigInt(xIsNeg bool, + y *big.Int) *big.Int { + // (y^2 - 1) + l := new(big.Int).Mul(y, y) + l.Sub(l, one) + + // inv(d*y^2+1) + temp := new(big.Int).Mul(y, y) + temp.Mul(temp, curve.D) + temp.Add(temp, one) + r := curve.invert(temp) + + // x2 = (y^2 - 1) * invert(d*y^2+1) + x2 := new(big.Int).Mul(r, l) + + // x = exp(x^2,(P+3)/8, P) + qp3 := new(big.Int).Add(curve.P, three) + qp3.Div(qp3, eight) // /= curve.H + x := new(big.Int).Exp(x2, qp3, curve.P) + + // check (x^2 - x2) % q != 0 + x22 := new(big.Int).Mul(x, x) + xsub := new(big.Int).Sub(x22, x2) + xsub.Mod(xsub, curve.P) + if xsub.Cmp(zero) != 0 { + ximod := new(big.Int) + ximod.Mul(x, curve.I) + ximod.Mod(ximod, curve.P) + x.Set(ximod) + } + + xmod2 := new(big.Int).Mod(x, two) + if xmod2.Cmp(zero) != 0 { + x.Sub(curve.P, x) + } + + // We got the wrong x, negate it to get the right one. + if xIsNeg != (x.Bit(0) == 1) { + x.Sub(curve.P, x) + } + + return x +} + +// RecoverXFieldElement recovers the X value for some Y value, for a coordinate +// on the Ed25519 curve given as a field element. Y value. Probably the fastest +// way to get your respective X from Y. +func (curve *TwistedEdwardsCurve) RecoverXFieldElement(xIsNeg bool, + y *edwards25519.FieldElement) *edwards25519.FieldElement { + // (y^2 - 1) + l := new(edwards25519.FieldElement) + edwards25519.FeSquare(l, y) + edwards25519.FeSub(l, l, &feOne) + + // inv(d*y^2+1) + r := new(edwards25519.FieldElement) + edwards25519.FeSquare(r, y) + edwards25519.FeMul(r, r, &fed) + edwards25519.FeAdd(r, r, &feOne) + edwards25519.FeInvert(r, r) + + x2 := new(edwards25519.FieldElement) + edwards25519.FeMul(x2, r, l) + + // Get a big int so we can do the exponentiation. + x2Big := FieldElementToBigInt(x2) + + // x = exp(x^2,(P+3)/8, P) + qp3 := new(big.Int).Add(curve.P, three) + qp3.Div(qp3, eight) // /= curve.H + xBig := new(big.Int).Exp(x2Big, qp3, curve.P) + + // Convert back to a field element and do + // the rest. + x := BigIntToFieldElement(xBig) + + // check (x^2 - x2) % q != 0 + x22 := new(edwards25519.FieldElement) + edwards25519.FeSquare(x22, x) + xsub := new(edwards25519.FieldElement) + edwards25519.FeSub(xsub, x22, x2) + xsubBig := FieldElementToBigInt(xsub) + xsubBig.Mod(xsubBig, curve.P) + + if xsubBig.Cmp(zero) != 0 { + xi := new(edwards25519.FieldElement) + edwards25519.FeMul(xi, x, &feI) + xiModBig := FieldElementToBigInt(xi) + xiModBig.Mod(xiModBig, curve.P) + xiMod := BigIntToFieldElement(xiModBig) + + x = xiMod + } + + xBig = FieldElementToBigInt(x) + xmod2 := new(big.Int).Mod(xBig, two) + if xmod2.Cmp(zero) != 0 { + // TODO replace this with FeSub + xBig.Sub(curve.P, xBig) + x = BigIntToFieldElement(xBig) + } + + // We got the wrong x, negate it to get the right one. + isNegative := edwards25519.FeIsNegative(x) == 1 + if xIsNeg != isNegative { + edwards25519.FeNeg(x, x) + } + + return x +} + +// IsOnCurve returns bool to say if the point (x,y) is on the curve by +// checking (y^2 - x^2 - 1 - dx^2y^2) % P == 0. +func (curve *TwistedEdwardsCurve) IsOnCurve(x *big.Int, y *big.Int) bool { + // Convert to field elements. + xB := BigIntToEncodedBytes(x) + yB := BigIntToEncodedBytes(y) + + yfe := new(edwards25519.FieldElement) + xfe := new(edwards25519.FieldElement) + edwards25519.FeFromBytes(yfe, yB) + edwards25519.FeFromBytes(xfe, xB) + + x2 := new(edwards25519.FieldElement) + edwards25519.FeSquare(x2, xfe) + y2 := new(edwards25519.FieldElement) + edwards25519.FeSquare(y2, yfe) + + dx2y2 := new(edwards25519.FieldElement) + edwards25519.FeMul(dx2y2, &fed, x2) + edwards25519.FeMul(dx2y2, dx2y2, y2) + + enum := new(edwards25519.FieldElement) + edwards25519.FeSub(enum, y2, x2) + edwards25519.FeSub(enum, enum, &feOne) + edwards25519.FeSub(enum, enum, dx2y2) + + enumBig := FieldElementToBigInt(enum) + enumBig.Mod(enumBig, curve.P) + + if enumBig.Cmp(zero) != 0 { + return false + } + + // Check if we're in the cofactor of the curve (8). + modEight := new(big.Int) + modEight.Mod(enumBig, eight) + + return modEight.Cmp(zero) == 0 +} + +// cachedGroupElement is a cached extended group element derived from +// another extended group element, for use in computation. +type cachedGroupElement struct { + yPlusX, yMinusX, Z, T2d edwards25519.FieldElement +} + +// toCached converts an extended group element to a useful intermediary +// containing precalculated values. +func toCached(r *cachedGroupElement, p *edwards25519.ExtendedGroupElement) { + edwards25519.FeAdd(&r.yPlusX, &p.Y, &p.X) + edwards25519.FeSub(&r.yMinusX, &p.Y, &p.X) + edwards25519.FeCopy(&r.Z, &p.Z) + edwards25519.FeMul(&r.T2d, &p.T, &fed2) +} + +// Add adds two points represented by pairs of big integers on the elliptical +// curve. +func (curve *TwistedEdwardsCurve) Add(x1, y1, x2, y2 *big.Int) (x, y *big.Int) { + // Convert to extended from affine. + a := BigIntPointToEncodedBytes(x1, y1) + aEGE := new(edwards25519.ExtendedGroupElement) + aEGE.FromBytes(a) + + b := BigIntPointToEncodedBytes(x2, y2) + bEGE := new(edwards25519.ExtendedGroupElement) + bEGE.FromBytes(b) + + // Cache b for use in group element addition. + bCached := new(cachedGroupElement) + toCached(bCached, bEGE) + + p := aEGE + q := bCached + + // geAdd(r*CompletedGroupElement, p*ExtendedGroupElement, + // q*CachedGroupElement) + // r is the result. + r := new(edwards25519.CompletedGroupElement) + var t0 edwards25519.FieldElement + + edwards25519.FeAdd(&r.X, &p.Y, &p.X) + edwards25519.FeSub(&r.Y, &p.Y, &p.X) + edwards25519.FeMul(&r.Z, &r.X, &q.yPlusX) + edwards25519.FeMul(&r.Y, &r.Y, &q.yMinusX) + edwards25519.FeMul(&r.T, &q.T2d, &p.T) + edwards25519.FeMul(&r.X, &p.Z, &q.Z) + edwards25519.FeAdd(&t0, &r.X, &r.X) + edwards25519.FeSub(&r.X, &r.Z, &r.Y) + edwards25519.FeAdd(&r.Y, &r.Z, &r.Y) + edwards25519.FeAdd(&r.Z, &t0, &r.T) + edwards25519.FeSub(&r.T, &t0, &r.T) + + rEGE := new(edwards25519.ExtendedGroupElement) + r.ToExtended(rEGE) + + s := new([32]byte) + rEGE.ToBytes(s) + + x, y, _ = curve.EncodedBytesToBigIntPoint(s) + + return +} + +// Double adds the same pair of big integer coordinates to itself on the +// elliptical curve. +func (curve *TwistedEdwardsCurve) Double(x1, y1 *big.Int) (x, y *big.Int) { + // Convert to extended projective coordinates. + a := BigIntPointToEncodedBytes(x1, y1) + aEGE := new(edwards25519.ExtendedGroupElement) + aEGE.FromBytes(a) + + r := new(edwards25519.CompletedGroupElement) + aEGE.Double(r) + rEGE := new(edwards25519.ExtendedGroupElement) + r.ToExtended(rEGE) + + s := new([32]byte) + rEGE.ToBytes(s) + x, y, _ = curve.EncodedBytesToBigIntPoint(s) + + return +} + +// ScalarMult returns k*(Bx,By) where k is a number in big-endian form. This +// uses the repeated doubling method, which is variable time. +// TODO use a constant time method to prevent side channel attacks. +func (curve *TwistedEdwardsCurve) ScalarMult(x1, y1 *big.Int, + k []byte) (x, y *big.Int) { + // Convert the scalar to a big int. + s := new(big.Int).SetBytes(k) + + // Get a new group element to do cached doubling + // calculations in. + dEGE := new(edwards25519.ExtendedGroupElement) + dEGE.Zero() + + // Use the doubling method for the multiplication. + // p := given point + // q := point(zero) + // for each bit in the scalar, descending: + // double(q) + // if bit == 1: + // add(q, p) + // return q + // + // Note that the addition is skipped for zero bits, + // making this variable time and thus vulnerable to + // side channel attack vectors. + for i := s.BitLen() - 1; i >= 0; i-- { + dCGE := new(edwards25519.CompletedGroupElement) + dEGE.Double(dCGE) + dCGE.ToExtended(dEGE) + if s.Bit(i) == 1 { + ss := new([32]byte) + dEGE.ToBytes(ss) + var err error + xi, yi, err := curve.EncodedBytesToBigIntPoint(ss) + if err != nil { + return nil, nil + } + xAdd, yAdd := curve.Add(xi, yi, x1, y1) + dTempBytes := BigIntPointToEncodedBytes(xAdd, yAdd) + dEGE.FromBytes(dTempBytes) + } + } + + finalBytes := new([32]byte) + dEGE.ToBytes(finalBytes) + + var err error + x, y, err = curve.EncodedBytesToBigIntPoint(finalBytes) + if err != nil { + return nil, nil + } + + return +} + +// ScalarBaseMult returns k*G, where G is the base point of the group +// and k is an integer in big-endian form. +// TODO Optimize this with field elements +func (curve *TwistedEdwardsCurve) ScalarBaseMult(k []byte) (x, y *big.Int) { + return curve.ScalarMult(curve.Gx, curve.Gy, k) +} + +// ScalarAdd adds two scalars and returns the sum mod N. +func ScalarAdd(a, b *big.Int) *big.Int { + feA := BigIntToFieldElement(a) + feB := BigIntToFieldElement(b) + sum := new(edwards25519.FieldElement) + + edwards25519.FeAdd(sum, feA, feB) + sumArray := new([32]byte) + edwards25519.FeToBytes(sumArray, sum) + + return EncodedBytesToBigInt(sumArray) +} + +// InitParam25519 initializes an instance of the Ed25519 curve. +func (curve *TwistedEdwardsCurve) InitParam25519() { + // The prime modulus of the field. + // P = 2^255-19 + curve.CurveParams = new(elliptic.CurveParams) + curve.P = new(big.Int) + curve.P.SetBit(zero, 255, 1).Sub(curve.P, big.NewInt(19)) + + // The prime order for the base point. + // N = 2^252 + 27742317777372353535851937790883648493 + qs, _ := new(big.Int).SetString("27742317777372353535851937790883648493", 10) + curve.N = new(big.Int) + curve.N.SetBit(zero, 252, 1).Add(curve.N, qs) // AKA Q + + curve.A = new(big.Int) + curve.A.SetInt64(-1).Add(curve.P, curve.A) + + // d = -121665 * inv(121666) + da := new(big.Int).SetInt64(-121665) + ds := new(big.Int).SetInt64(121666) + di := curve.invert(ds) + curve.D = new(big.Int).Mul(da, di) + + // I = expmod(2,(q-1)/4,q) + psn := new(big.Int) + psn.SetBit(zero, 255, 1).Sub(psn, big.NewInt(19)) + psn.Sub(psn, one) + psn.Div(psn, four) + curve.I = psn.Exp(two, psn, curve.P) + + // The base point. + curve.Gx = new(big.Int) + curve.Gx.SetString("151122213495354007725011514095885315"+ + "11454012693041857206046113283949847762202", 10) + curve.Gy = new(big.Int) + curve.Gy.SetString("463168356949264781694283940034751631"+ + "41307993866256225615783033603165251855960", 10) + + curve.BitSize = 256 + curve.H = 8 + + // Provided for convenience since this gets computed repeatedly. + curve.byteSize = curve.BitSize / 8 +} + +// Edwards returns a Curve which implements Ed25519. +func Edwards() *TwistedEdwardsCurve { + c := new(TwistedEdwardsCurve) + c.InitParam25519() + return c +} diff --git a/crypto/ecc/ed25519/curve_test.go b/crypto/ecc/ed25519/curve_test.go new file mode 100644 index 0000000..2529503 --- /dev/null +++ b/crypto/ecc/ed25519/curve_test.go @@ -0,0 +1,229 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "encoding/hex" + "math/rand" + "testing" +) + +type XRecoveryVector struct { + bIn *[32]byte +} + +func testPointXRecoveryVectors() []XRecoveryVector { + r := rand.New(rand.NewSource(54321)) + + numCvs := 1000 + cvs := make([]XRecoveryVector, numCvs) + for i := 0; i < numCvs; i++ { + bIn := new([32]byte) + for j := 0; j < fieldIntSize; j++ { + randByte := r.Intn(255) + bIn[j] = uint8(randByte) + } + + cvs[i] = XRecoveryVector{bIn} + r.Seed(int64(i) + 54321) + } + + return cvs +} + +// Tested functions: +// BigIntPointToEncodedBytes +// extendedToBigAffine +// EncodedBytesToBigIntPoint +func TestXRecovery(t *testing.T) { + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + for _, vector := range testPointXRecoveryVectors() { + isNegative := vector.bIn[31]>>7 == 1 + notOnCurve := false + _, y, err := curve.EncodedBytesToBigIntPoint(vector.bIn) + // The random point wasn't on the curve. + if err != nil { + notOnCurve = true + } + + if notOnCurve { + y = EncodedBytesToBigInt(vector.bIn) + } + + x2 := curve.RecoverXBigInt(isNegative, y) + if !curve.IsOnCurve(x2, y) { + if !notOnCurve { + t.Fatalf("expected %v, got %v", true, notOnCurve) + } + } else { + if notOnCurve { + t.Fatalf("expected %v, got %v", false, notOnCurve) + } + b2 := BigIntPointToEncodedBytes(x2, y) + if !bytes.Equal(vector.bIn[:], b2[:]) { + t.Fatalf("expected %x, got %x", vector.bIn[:], b2) + } + } + + yFE := EncodedBytesToFieldElement(vector.bIn) + x3 := curve.RecoverXFieldElement(isNegative, yFE) + x3BI := FieldElementToBigInt(x3) + if !curve.IsOnCurve(x3BI, y) { + if !notOnCurve { + t.Fatalf("expected %v, got %v", true, notOnCurve) + } + } else { + if notOnCurve { + t.Fatalf("expected %v, got %v", false, notOnCurve) + } + + b3 := BigIntPointToEncodedBytes(x3BI, y) + if !bytes.Equal(vector.bIn[:], b3[:]) { + t.Fatalf("expected %x, got %x", vector.bIn[:], + b3) + } + } + } +} + +// Tested functions: +// BigIntPointToEncodedBytes +// extendedToBigAffine +// EncodedBytesToBigIntPoint +func TestAdd(t *testing.T) { + pointHexStrIdx := 0 + pointHexStrSet := []string{ + "4a3f2684abc42977fe50adbb158a9939cc31b210a7c6e6ea4856395ef3e51bf4", + "eb4c9d80865dc40107846fdbc1e8b3ce3647615877a77b88720d2913adf1f0a4", + "3e4e5f8276a802b3c8a4bf442a418cc3a435a71ed0f38aa784f9e460d1c57e2e", + "647f67801b99bf7eb0c00efbc9b63f4246eba59ff21616e85ecf6139e1006f86", + "213b22c341bc07cac961a066e137f1e43e671a497eba7add362e2abb15475de9", + "f52f2b3860d5a0a86db4b786dc73d1f3fe29cbfea4b1b0600b58b072d6d25722", + "4b6b53496e0d93222fb612f02f688914cb93dea6414d510c92a75812976082ed", + "768fbf82d32f02e26fb7e51bce61abbb6081085026d049fdf42efc6fdc0715be", + "b66308e6f1080b6f623d8ce4c2537ff3e60d6c5288ae00fdcc9e652ff770d193", + "e5bbf34b1d308d393b8fee9e3bba1fd66726ceeba2d8be80d46fd74a4eb9187f", + "a172dd13f4eaf3bd0e3501f3c2edca2ceddbbe05e6a5d503b114d6e9e14522e5", + "413df123e96ffc6e8d033037cdbe40d70fb9ec17adf547d9f95a2c6e778bb3cb", + "b3c815edc658038e31fef3e08190bfdfc63640df5e3b490fb50421cc0380bc21", + } + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + tpcv := testPointConversionVectors() + + for i := range tpcv { + if i == 0 { + continue + } + + x1, y1, err := curve.EncodedBytesToBigIntPoint(tpcv[i-1].bIn) + // The random point wasn't on the curve. + if err != nil { + continue + } + + x2, y2, err := curve.EncodedBytesToBigIntPoint(tpcv[i].bIn) + // The random point wasn't on the curve. + if err != nil { + continue + } + + x, y := curve.Add(x1, y1, x2, y2) + pointEnc := BigIntPointToEncodedBytes(x, y) + pointEncAsStr := hex.EncodeToString(pointEnc[:]) + // Assert our results. + pointHexStr := pointHexStrSet[pointHexStrIdx] + cmp := pointEncAsStr == pointHexStr + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + pointHexStrIdx++ + } +} + +type ScalarMultVectorHex struct { + bIn string // Point + s string // 32 byte scalar + bRes string // Resulting point +} + +func testVectorsScalarMultHex() []ScalarMultVectorHex { + return []ScalarMultVectorHex{ + {"a4185ac0436e4487cf2c4db66465b4167b0c884be5679ac2c6c5a675c2313216", "3628cff35868bbc95ae4c8d8d0536851a6597e6c96874a2c5b6cee489c1dda56", "0b398bc7c29f05c7d67411824173a9830936273eb4ffd7e546c9ef62bf59f821"}, + {"7b4fae97c829420c9e132f2e1b0ad835f39af9c9d245c87121db68320f957729", "43d12a94e0dfed6489162197ff51769ece9c95a4a784b39926bc5e56703c1554", "d10b9f81cdc426daa6425f9c37057e7090102848927fdde0bb0b07191b33be02"}, + {"5563cfdba3e2653b2b9f8bb43566e0b6b788713196ea65fc6fba9cd760c71205", "ed82427d43dded53c4b4fd204dba3d4bf09cf95e7821cd23c35b36180a23c00e", "f61f95ef730e1183dcdb455faea04a00f81d5a5f15e3ac709a39e0b206c72245"}, + {"b20df028f5ae0409b7131e3165ce5e2c1982e32b6ae8cf2dc9369685444225f3", "19a4cf4eb98082b44460cc0d94ea482c20c96650f71e13d37c9b5b8b132709f9", "0ae96cfa06dd871e57c0423b390e05e3f92071f1efcaa11ba4d8a8a793fd6594"}, + {"42ef8d3ff3b53d14a28992a47201072b4f34d65cc801a033b495502058f136be", "816295ac93196dcd99fd93497c525ae2c77ef28581f287784c18cdedf713ad1c", "df01249832f7802ecc1136946d7d9d422c6db8049f1ec22fe6cdea4732e8c11e"}, + {"58e49f87bc33d252824c2673b1e6d03948a564b095ef0fcc2db9ab068859e761", "4e3604d93eb17aeacb600b5dd101756711e56edeb61b4e096d9831f1b678fecb", "4ea973a59bdab17664ee3e2d2c58048bfe5cb648b8316c170677692317f111d4"}, + {"5b4406c40c5c8edbc4bc560a37336572425348a6613765e7285431855b35c1ae", "98aa0700f27292de4b01a519b322cfa1b6f2d5405c8a0aec011206db44f8661f", "d61f265b145f0a6b6fd03d6cc3fbf533ff3c5b1ab3f6889f357ab1b89fe59ad6"}, + {"b11f09eac50b0e09980f5cbf12511329a7be3c011c7714555ecc99d3058c0c31", "c6b75a8ff9b5d642e78e75f1760de923378e2c117ff55d08e8c9471a9857b1a9", "e9a913f01dcf22c5529041accdcf84991241dd2459450c2cf09b1f7557969cfd"}, + {"2ef244e1a0d29c85a4d9efcc76e73229474221b5dbc7d0a5e5d0a3fe7af2260a", "a17a0742c64b377c4d21b9374c18d2357705129891e493ae0a5ed3944859358d", "4394da4b755f93b5a071084b8d3ddd2d2b6fe051850ce020b78626b2cde3af0f"}, + {"58a70db75e2728e9b8104cb0c0d3a34c0d9f7df962bd49d972c8ffd2f6d166ed", "f257355233d825370122f0b96a2d65862674773e4d8fc8a3e098d91df2269377", "43d399cbc1d906b2070e5bd2ea22ee7ec16acacf1c066eff83b66a4a4e6e045a"}, + {"d28cec42d45b3a3412fa304cf7ec8569799c206c15d660bd397bae71038e2247", "5998863d2c6ec41609ca6ccf759b079c08ff4182080cd43ed94fd50ba76f1250", "c1f277c9a1a0fa5cdac73ddbeaea8b23bf953b8bb116a28927251ca1c66dbcfd"}, + {"4ed7441db6ab3e5eaab93073c324f623c4dd43236b85544243c2ec8f4a470292", "c35e95a67108d5d540f5976ccdfe5efc365daac97678c1754d2de9b64562a5df", "bbb7a5f331f0edec2cbbbf03bc368b9e79be88a40b2ef5d037ff4e5f86526dc2"}, + {"d7ca509d7fd8576dd3e1254f267d25693d610e1641df4aec416ade68eaab750a", "5166fa5902ec25c6956373d1c160a5a187fd265ed1def088b8737b82962c00b9", "1a631f41db3a8aa1e6373b6c1826aed1cf1c5b726dfa3a6f3aedf725139edeb7"}, + {"fb6ef51f9d2d8113e5715f7f383a438e0af9e2a938981bbbaccaf23af1c44846", "bcf743bc9ca831ef5affe4408416526d7f97be16c6489e8480e21cd5a4896230", "6449a7997a35c140e296dd52ca6c2374a39a37a6328b42f80cebcad080ae12fd"}, + {"1c6309c2895303ecb3315b3d557e2544d2d2af78bdbaeda61c9334cedf9416a3", "cf6b3b461f20b49f863292e990b2813b4ea1ca07b1372e423511e01f2ce6aa9f", "9f91711ddf5cc8127bebf3faf1bc919f8db37ab35c4a8ab621314d4532568ab7"}, + {"1433d904b51a4a9d3654b8415fde9ce577652e64db634d0d8a103bfbd5f4d259", "56ec65e69dd0f10377c764fa5caca260af73d44a9ed2b838a3485055cd6216e1", "ef18bc7bea44254276a8755940ee97fa436b4ac904f9e8232af69591dcca99ad"}, + {"662bdf3aabd9fc2c252ce38a272ac84303211653e0d88bc9b25ae4a6b9009813", "1472fd6a26b8ac15518eb66c4fab44f28568f3f127d40d70b643fc1b85ec35cc", "ca2627334a90483fa6f2532e83fc38fed0e75f2388feee99cc69102297508b23"}, + {"a2e6a7c28f87bb95ea611fcfc3e804dd772e3b6dad6e60b3b6d3aed1136bc009", "cd9a9ffe3a346baa5ac98c504d197690139b53ebb01227dcebda6de94143c9ee", "fc010f6110e82a1fc9df7c3d0e9b3d6bd550e32d41bb4aaca4330086faa974df"}, + {"0d2ed068749d471e0ccc53cbdcbb11022f2f6e5fe82faaf662566739ad93a46a", "5102094e6e5ede9a1d74dad9f41f19842f32a378e92f9b8fe46c49513148ba98", "adcfbb2da1b6b3fdf49ff91a103ce18b5fa7cdc03dc96d5eea62db88fef24444"}, + {"3025fb1259e8bf5b629d167035a83bc4bae1a4d92790706da471c77e83bbff65", "46ddd06a554a5d65a0bb513ccfa962d27e8bb658f2c0c08124ea8b61b3912457", "afa21072bffee77e9df0d0d3afae7c31723cc7a52f82269a315f385b5b19b9d4"}, + {"b3429d95ac09581860251b1da2d54c6d361e3e3a116d0f153c9d29a8b2eb14e9", "854ca13b76c837eda31fb06232c8e2c56396a09a8c4fcc517a5a54c1dc2d01ea", "298dccfe0d70ce69e0e12613008901b484c7c6b9ae3c62cbe5152b8a12c22296"}, + {"efa0976786194dd52174f436ea27d4e7dc9599f7ce4424bfbac4cdc8f05388d8", "1f253bc2a828874fc46adc255f6203928bb77a84b7d545ee3746c4686d411206", "71851029252000821bd156cce117ab193471f1e2eba21897403bf8307bc666e4"}, + {"fbc1f969efdd138c7c3cfeb7cfa906ca20c3522533a14745350074a57045f411", "3f82d419f4da810ca0e64a4e6e5fb3011b919417d2edc3e01a4cdb8fb97ed8a5", "15f9defa2f0b6ceca4b298535a924a55f8b45ce9ee101f9b273744dab6783704"}, + {"9777c96b78a9878add14578e759246aeb7678554ea843439acd346d24563ee52", "c67fd95f24cf5b7dab1bd3fe84d6ab0b5a751ee6f125d9693f96da90b57ae366", "9cef760dd9d3371f68948f6c3b8b60b3a3e5e4d2d6f7f2204e391786f66f53ab"}, + {"58848e020b5d60fafbfb1b193b6d011ddc4342b4fd9846ff53793d780ffd97a9", "35ce524d1411196917a8819bd5e14482867b0443b675d08bddf7a363d03d8743", "fde89cbd9c19e4d6e6bcf1a8aa8243954249cf19d2d0910b38bffb5b7cf40289"}, + {"3e4ba1e84c427835ec9d7f5f1ad242d286f691ee7193c0ed4b9cf17ce38388e3", "4292f0dbedcffeecb0e26c4d56debc2a9b22e963bd430a44942a6538677137e9", "56b47522d793c0f3fed33bec100fa0dbdec79f5e00ca9e7003884410e8b7f8a1"}, + {"f330b3cdeef0b31f1e8e0787cee38e81216a0a90f536c81c33293d577ec32cb4", "143aff9e186d585b9167eb60780f2ed424751431d141e19ae42d6745cbd77e41", "d82cb0b18e90f2bdf2fc6b0ac34ec53325e19262dec88c22eddc4874207c35b6"}, + {"adf0a708f1c3e0a0e56b1d74f91861462a2c20619afded35560e6a57db9df026", "de62849260fae4e4f4a707ffa0f95a6a7b1a16b2b6083fa93f4f7bfbaeb6823f", "7362db606fafb2c5b336eb36760ea87cb7412fe1e2ac152f22450074e6a14972"}, + {"48c1eb698fc29e1ffb28d5bbdddd896343935d574e4800c9ec336da133db7253", "41a37cae219b9b5097ecb76530f3de685d7c7aaa48f8a5237a6525bb84d4c9b7", "d834ea9ea06272263059948e107c8f083c197a76a3dec6b76ee169729ee6f11f"}, + {"93cc6d1727b2bd5f918563cf8571a9c0f6b771c25cb9aa47ebdff08bbbf00f17", "ad00a73d9a3f54b29e3e3a65d4b35f28aa0bc6b3aa1e82d628489368aa4db441", "6f4789dd5250e097c2c2025f31920d974dc58ce5d204437a2db578ae5d2aa544"}, + {"4f651b5f0918f14ea45433ed332dc4bf46456e076903ede2313694b96faa8c40", "12a331c658d41a8a97de1db8bd392b53558fb2f1724c904d476652d5e82eea95", "0fa278fb83a017f1058ef7fb937747ab8646d4d5cac694a4a3e1b24340ba71d9"}, + } +} + +type ScalarMultVector struct { + bIn *[32]byte // Point + s *[32]byte // 32 byte scalar + bRes *[32]byte // Resulting point +} + +func testVectorsScalarMult() []ScalarMultVector { + tvsmh := testVectorsScalarMultHex() + var tvsms []ScalarMultVector + for _, v := range tvsmh { + bIn, _ := hex.DecodeString(v.bIn) + s, _ := hex.DecodeString(v.s) + bRes, _ := hex.DecodeString(v.bRes) + lv := ScalarMultVector{copyBytes(bIn), copyBytes(s), copyBytes(bRes)} + tvsms = append(tvsms, lv) + } + + return tvsms +} + +// Tested functions: +// Add +// Double +// ScalarMult +func TestScalarMult(t *testing.T) { + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + for _, vector := range testVectorsScalarMult() { + x, y, _ := curve.EncodedBytesToBigIntPoint(vector.bIn) + sBig := EncodedBytesToBigInt(vector.s) // We need big endian + xMul, yMul := curve.ScalarMult(x, y, sBig.Bytes()) + finalPoint := BigIntPointToEncodedBytes(xMul, yMul) + cmp := bytes.Equal(vector.bRes[:], finalPoint[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + } +} diff --git a/crypto/ecc/ed25519/ecdsa.go b/crypto/ecc/ed25519/ecdsa.go new file mode 100644 index 0000000..3120d14 --- /dev/null +++ b/crypto/ecc/ed25519/ecdsa.go @@ -0,0 +1,364 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "crypto/hmac" + "crypto/sha256" + "crypto/sha512" + "fmt" + "hash" + "io" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal" + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal/edwards25519" +) + +// BIG CAVEAT +// Memory management is kind of sloppy and whether or not your keys or +// nonces can be found in memory later is likely a product of when the +// garbage collector runs. +// Signing/EC mult is also not constant side, so don't use this in any +// application where you think you might be vulnerable to side channel +// attacks. + +var ( + // oneInitializer is used to fill a byte slice with byte 0x01. It is provided + // here to avoid the need to create it multiple times. + oneInitializer = []byte{0x01} + + // ecTypeEdwards is the ECDSA type for the chainec interface. + ecTypeEdwards = 1 +) + +// GenerateKey generates a key using a random number generator, returning +// the private scalar and the corresponding public key points from a +// random secret. +func GenerateKey(curve *TwistedEdwardsCurve, rand io.Reader) (priv []byte, x, + y *big.Int, err error) { + pub, priv, err := ed25519.GenerateKey(rand) + var pubArray [PubKeyBytesLen]byte + var privArray [PrivKeyBytesLen]byte + copy(pubArray[:], pub) + copy(privArray[:], priv) + if err != nil { + return nil, nil, nil, err + } + priv = privArray[:] + + x, y, err = curve.EncodedBytesToBigIntPoint(&pubArray) + if err != nil { + return nil, nil, nil, err + } + + return +} + +// SignFromSecret signs a message 'hash' using the given private key priv. It doesn't +// actually user the random reader (the lib is maybe deterministic???). +func SignFromSecret(rand io.Reader, priv *PrivateKey, hash []byte) (r, s *big.Int, + err error) { + r, s, err = SignFromSecretNoReader(priv, hash) + + return +} + +// SignFromSecretNoReader signs a message 'hash' using the given private key +// priv. It doesn't actually user the random reader. +func SignFromSecretNoReader(priv *PrivateKey, hash []byte) (r, s *big.Int, + err error) { + privBytes := priv.SerializeSecret() + //privArray := copyBytes64(privBytes) + sig := ed25519.Sign(privBytes, hash) + + // The signatures are encoded as + // sig[0:32] R, a point encoded as little endian + // sig[32:64] S, scalar multiplication/addition results = (ab+c) mod l + // encoded also as little endian + rBytes := copyBytes(sig[0:32]) + r = EncodedBytesToBigInt(rBytes) + sBytes := copyBytes(sig[32:64]) + s = EncodedBytesToBigInt(sBytes) + + return +} + +// nonceRFC6979 is a local instatiation of deterministic nonce generation +// by the standards of RFC6979. +func nonceRFC6979(curve *TwistedEdwardsCurve, privkey []byte, hash []byte, + extra []byte, version []byte) []byte { + pkD := new(big.Int).SetBytes(privkey) + defer pkD.SetInt64(0) + bigK := NonceRFC6979(curve, pkD, hash, extra, version) + defer bigK.SetInt64(0) + k := BigIntToEncodedBytesNoReverse(bigK) + return k[:] +} + +// NonceRFC6979 generates an ECDSA nonce (`k`) deterministically according to +// RFC 6979. It takes a 32-byte hash as an input and returns 32-byte nonce to +// be used in ECDSA algorithm. +func NonceRFC6979(curve *TwistedEdwardsCurve, privkey *big.Int, hash []byte, + extra []byte, version []byte) *big.Int { + q := curve.Params().N + x := privkey + alg := sha256.New + + qlen := q.BitLen() + holen := alg().Size() + rolen := (qlen + 7) >> 3 + bx := append(int2octets(x, rolen), bits2octets(hash, curve, rolen)...) + if len(extra) == 32 { + bx = append(bx, extra...) + } + if len(version) == 16 && len(extra) == 32 { + bx = append(bx, extra...) + } + if len(version) == 16 && len(extra) != 32 { + bx = append(bx, bytes.Repeat([]byte{0x00}, 32)...) + bx = append(bx, version...) + } + + // Step B + v := bytes.Repeat(oneInitializer, holen) + + // Step C (Go zeroes the all allocated memory) + k := make([]byte, holen) + + // Step D + k = mac(alg, k, append(append(v, 0x00), bx...)) + + // Step E + v = mac(alg, k, v) + + // Step F + k = mac(alg, k, append(append(v, 0x01), bx...)) + + // Step G + v = mac(alg, k, v) + + // Step H + for { + // Step H1 + var t []byte + + // Step H2 + for len(t)*8 < qlen { + v = mac(alg, k, v) + t = append(t, v...) + } + + // Step H3 + secret := hashToInt(t, curve) + if secret.Cmp(one) >= 0 && secret.Cmp(q) < 0 { + return secret + } + k = mac(alg, k, append(v, 0x00)) + v = mac(alg, k, v) + } +} + +// hashToInt converts a hash value to an integer. There is some disagreement +// about how this is done. [NSA] suggests that this is done in the obvious +// manner, but [SECG] truncates the hash to the bit-length of the curve order +// first. We follow [SECG] because that's what OpenSSL does. Additionally, +// OpenSSL right shifts excess bits from the number if the hash is too large +// and we mirror that too. +// This is borrowed from crypto/ecdsa. +func hashToInt(hash []byte, c *TwistedEdwardsCurve) *big.Int { + orderBits := c.Params().N.BitLen() + orderBytes := (orderBits + 7) / 8 + if len(hash) > orderBytes { + hash = hash[:orderBytes] + } + + ret := new(big.Int).SetBytes(hash) + excess := len(hash)*8 - orderBits + if excess > 0 { + ret.Rsh(ret, uint(excess)) + } + return ret +} + +// mac returns an HMAC of the given key and message. +func mac(alg func() hash.Hash, k, m []byte) []byte { + h := hmac.New(alg, k) + h.Write(m) + return h.Sum(nil) +} + +// https://tools.ietf.org/html/rfc6979#section-2.3.3 +func int2octets(v *big.Int, rolen int) []byte { + out := v.Bytes() + + // left pad with zeros if it's too short + if len(out) < rolen { + out2 := make([]byte, rolen) + copy(out2[rolen-len(out):], out) + return out2 + } + + // drop most significant bytes if it's too long + if len(out) > rolen { + out2 := make([]byte, rolen) + copy(out2, out[len(out)-rolen:]) + return out2 + } + + return out +} + +// https://tools.ietf.org/html/rfc6979#section-2.3.4 +func bits2octets(in []byte, curve *TwistedEdwardsCurve, rolen int) []byte { + z1 := hashToInt(in, curve) + z2 := new(big.Int).Sub(z1, curve.Params().N) + if z2.Sign() < 0 { + return int2octets(z1, rolen) + } + return int2octets(z2, rolen) +} + +// SignFromScalar signs a message 'hash' using the given private scalar priv. +// It uses RFC6979 to generate a deterministic nonce. Considered experimental. +// r = kG, where k is the RFC6979 nonce +// s = r + hash512(k || A || M) * a +func SignFromScalar(curve *TwistedEdwardsCurve, priv *PrivateKey, + nonce []byte, hash []byte) (r, s *big.Int, err error) { + publicKey := new([PubKeyBytesLen]byte) + var A edwards25519.ExtendedGroupElement + privateScalar := copyBytes(priv.Serialize()) + reverse(privateScalar) // BE --> LE + edwards25519.GeScalarMultBase(&A, privateScalar) + A.ToBytes(publicKey) + + // For signing from a scalar, r = nonce. + nonceLE := copyBytes(nonce) + reverse(nonceLE) + var R edwards25519.ExtendedGroupElement + edwards25519.GeScalarMultBase(&R, nonceLE) + + var encodedR [32]byte + R.ToBytes(&encodedR) + + // h = hash512(k || A || M) + h := sha512.New() + h.Reset() + h.Write(encodedR[:]) + h.Write(publicKey[:]) + h.Write(hash) + + // s = r + h * a + var hramDigest [64]byte + h.Sum(hramDigest[:0]) + var hramDigestReduced [32]byte + edwards25519.ScReduce(&hramDigestReduced, &hramDigest) + + var localS [32]byte + edwards25519.ScMulAdd(&localS, &hramDigestReduced, privateScalar, + nonceLE) + + signature := new([64]byte) + copy(signature[:], encodedR[:]) + copy(signature[32:], localS[:]) + sigEd, err := ParseSignature(curve, signature[:]) + if err != nil { + return nil, nil, err + } + + return sigEd.GetR(), sigEd.GetS(), nil +} + +// SignThreshold signs a message 'hash' using the given private scalar priv in +// a threshold group signature. It uses RFC6979 to generate a deterministic nonce. +// Considered experimental. +// As opposed to the threshold signing function for secp256k1, this function +// takes the entirety of the public nonce point (all points added) instead of +// the public nonce point with n-1 keys added. +// r = K_Sum +// s = r + hash512(k || A || M) * a +func SignThreshold(curve *TwistedEdwardsCurve, priv *PrivateKey, + groupPub *PublicKey, hash []byte, privNonce *PrivateKey, + pubNonceSum *PublicKey) (r, s *big.Int, err error) { + if priv == nil || hash == nil || privNonce == nil || pubNonceSum == nil { + return nil, nil, fmt.Errorf("nil input") + } + + privateScalar := copyBytes(priv.Serialize()) + reverse(privateScalar) // BE --> LE + + // Threshold variant scheme: + // R = K_Sum + // Where K_Sum is the sum of the public keys corresponding to + // the private nonce scalars of each group signature member. + // That is, R = k1G + ... + knG. + encodedGroupR := BigIntPointToEncodedBytes(pubNonceSum.GetX(), + pubNonceSum.GetY()) + + // h = hash512(k || A || M) + var hramDigest [64]byte + h := sha512.New() + h.Reset() + h.Write(encodedGroupR[:]) + h.Write(groupPub.Serialize()[:]) + h.Write(hash) + h.Sum(hramDigest[:0]) + var hramDigestReduced [32]byte + edwards25519.ScReduce(&hramDigestReduced, &hramDigest) + + // s = r + h * a + var localS [32]byte + privNonceLE := copyBytes(privNonce.Serialize()) + reverse(privNonceLE) // BE --> LE + edwards25519.ScMulAdd(&localS, &hramDigestReduced, privateScalar, + privNonceLE) + + signature := new([64]byte) + copy(signature[:], encodedGroupR[:]) + copy(signature[32:], localS[:]) + sigEd, err := ParseSignature(curve, signature[:]) + if err != nil { + return nil, nil, err + } + + return sigEd.GetR(), sigEd.GetS(), nil +} + +// Sign is the generalized and exported version of Ed25519 signing, that +// handles both standard private secrets and non-standard scalars. +func Sign(curve *TwistedEdwardsCurve, priv *PrivateKey, hash []byte) (r, + s *big.Int, err error) { + if priv == nil { + return nil, nil, fmt.Errorf("private key is nil") + } + if hash == nil { + return nil, nil, fmt.Errorf("message key is nil") + } + + if priv.secret == nil { + privLE := copyBytes(priv.Serialize()) + reverse(privLE) + nonce := nonceRFC6979(curve, privLE[:], hash, nil, nil) + return SignFromScalar(curve, priv, nonce, hash) + } + + return SignFromSecretNoReader(priv, hash) +} + +// Verify verifies a message 'hash' using the given public keys and signature. +func Verify(pub *PublicKey, hash []byte, r, s *big.Int) bool { + if pub == nil || hash == nil || r == nil || s == nil { + return false + } + + pubBytes := pub.Serialize() + sig := &Signature{r, s} + sigBytes := sig.Serialize() + //pubArray := copyBytes(pubBytes) + //sigArray := copyBytes64(sigBytes) + return ed25519.Verify(pubBytes, hash, sigBytes) +} diff --git a/crypto/ecc/ed25519/ecdsa_test.go b/crypto/ecc/ed25519/ecdsa_test.go new file mode 100644 index 0000000..d519a04 --- /dev/null +++ b/crypto/ecc/ed25519/ecdsa_test.go @@ -0,0 +1,468 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bufio" + "bytes" + "compress/gzip" + "encoding/hex" + "io" + "math/big" + "math/rand" + "os" + "strings" + "testing" +) + +func TestGolden(t *testing.T) { + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + // sign.input.gz is a selection of test cases from + // http://ed25519.cr.yp.to/python/sign.input + testDataZ, err := os.Open("testdata/sign.input.gz") + if err != nil { + t.Fatal(err) + } + defer testDataZ.Close() + testData, err := gzip.NewReader(testDataZ) + if err != nil { + t.Fatal(err) + } + defer testData.Close() + + in := bufio.NewReaderSize(testData, 1<<12) + lineNo := 0 + for { + lineNo++ + lineBytes, err := in.ReadBytes(byte('\n')) + if err != nil { + if err == io.EOF { + break + } + t.Fatalf("error reading test data: %s", err) + } + + line := string(lineBytes) + parts := strings.Split(line, ":") + if len(parts) != 5 { + t.Fatalf("bad number of parts on line %d (want %v, got %v)", lineNo, + 5, len(parts)) + } + + privBytes, _ := hex.DecodeString(parts[0]) + privArray := copyBytes64(privBytes) + + pubKeyBytes, _ := hex.DecodeString(parts[1]) + pubArray := copyBytes(pubKeyBytes) + msg, _ := hex.DecodeString(parts[2]) + sig, _ := hex.DecodeString(parts[3]) + sigArray := copyBytes64(sig) + // The signatures in the test vectors also include the message + // at the end, but we just want R and S. + sig = sig[:SignatureSize] + + if l := len(pubKeyBytes); l != PubKeyBytesLen { + t.Fatalf("bad public key length on line %d: got %d bytes", lineNo, l) + } + + var priv [PrivKeyBytesLen]byte + copy(priv[:], privBytes) + copy(priv[32:], pubKeyBytes) + + // Deserialize privkey and test functions. + privkeyS1, pubkeyS1 := PrivKeyFromSecret(curve, priv[:32]) + privkeyS2, pubkeyS2 := PrivKeyFromBytes(curve, priv[:]) + pkS1 := privkeyS1.SerializeSecret() + pkS2 := privkeyS2.SerializeSecret() + pubkS1 := pubkeyS1.Serialize() + pubkS2 := pubkeyS2.Serialize() + cmp := bytes.Equal(pkS1[:], pkS2[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(privArray[:], copyBytes64(pkS1)[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(privArray[:], copyBytes64(pkS2)[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(pubkS1[:], pubkS2[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(pubArray[:], copyBytes(pubkS1)[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(pubArray[:], copyBytes(pubkS2)[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Deserialize pubkey and test functions. + pubkeyP, err := ParsePubKey(curve, pubKeyBytes) + if err != nil { + t.Fatalf("ParsePubKey: %v", err) + } + + pubkP := pubkeyP.Serialize() + cmp = bytes.Equal(pubkS1[:], pubkP[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(pubkS2[:], pubkP[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = bytes.Equal(pubArray[:], copyBytes(pubkP)[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Deserialize signature and test functions. + internalSig, err := ParseSignature(curve, sig) + if err != nil { + t.Fatalf("ParseSignature failed: %v", err) + } + iSigSerialized := internalSig.Serialize() + cmp = bytes.Equal(sigArray[:], copyBytes64(iSigSerialized)[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + sig2r, sig2s, err := Sign(curve, privkeyS2, msg) + if err != nil { + t.Fatalf("Sign failed: %v", err) + } + sig2 := &Signature{sig2r, sig2s} + sig2B := sig2.Serialize() + if !bytes.Equal(sig, sig2B[:]) { + t.Errorf("different signature result on line %d: %x vs %x", lineNo, + sig, sig2B[:]) + } + + var pubKey [PubKeyBytesLen]byte + copy(pubKey[:], pubKeyBytes) + if !Verify(pubkeyP, msg, sig2r, sig2s) { + t.Errorf("signature failed to verify on line %d", lineNo) + } + } +} + +func randPrivScalarKeyList(curve *TwistedEdwardsCurve, i int) []*PrivateKey { + r := rand.New(rand.NewSource(54321)) + + privKeyList := make([]*PrivateKey, i) + for j := 0; j < i; j++ { + for { + bIn := new([32]byte) + for k := 0; k < PrivScalarSize; k++ { + randByte := r.Intn(255) + bIn[k] = uint8(randByte) + } + + bInBig := new(big.Int).SetBytes(bIn[:]) + bInBig.Mod(bInBig, curve.N) + bIn = copyBytes(bInBig.Bytes()) + bIn[31] &= 248 + + pks, _, err := PrivKeyFromScalar(curve, bIn[:]) + if err != nil { + r.Seed(int64(j) + r.Int63n(12345)) + continue + } + + // No duplicates allowed. + if j > 0 && + (bytes.Equal(pks.Serialize(), privKeyList[j-1].Serialize())) { + continue + } + + privKeyList[j] = pks + r.Seed(int64(j) + 54321) + break + } + } + + return privKeyList +} + +func TestNonStandardSignatures(t *testing.T) { + tRand := rand.New(rand.NewSource(54321)) + + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + msg := []byte{ + 0xbe, 0x13, 0xae, 0xf4, + 0xe8, 0xa2, 0x00, 0xb6, + 0x45, 0x81, 0xc4, 0xd1, + 0x0c, 0xf4, 0x1b, 0x5b, + 0xe1, 0xd1, 0x81, 0xa7, + 0xd3, 0xdc, 0x37, 0x55, + 0x58, 0xc1, 0xbd, 0xa2, + 0x98, 0x2b, 0xd9, 0xfb, + } + + pks := randPrivScalarKeyList(curve, 50) + for _, pk := range pks { + r, s, err := Sign(curve, pk, msg) + if err != nil { + t.Fatalf("unexpected error %s", err) + } + + pubX, pubY := pk.Public() + pub := NewPublicKey(curve, pubX, pubY) + ok := Verify(pub, msg, r, s) + if !ok { + t.Fatalf("expected %v, got %v", true, ok) + } + + // Test serializing/deserializing. + privKeyDupTest, _, err := PrivKeyFromScalar(curve, + copyBytes(pk.ecPk.D.Bytes())[:]) + + if err != nil { + t.Fatalf("unexpected error %s", err) + } + + cmp := privKeyDupTest.GetD().Cmp(pk.GetD()) == 0 + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + privKeyDupTest2, _, err := PrivKeyFromScalar(curve, pk.Serialize()) + if err != nil { + t.Fatalf("unexpected error %s", err) + } + + cmp = privKeyDupTest2.GetD().Cmp(pk.GetD()) == 0 + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Screw up a random bit in the signature and + // make sure it still fails. + sig := NewSignature(r, s) + sigBad := sig.Serialize() + pos := tRand.Intn(63) + bitPos := tRand.Intn(7) + sigBad[pos] ^= 1 << uint8(bitPos) + + bSig, err := ParseSignature(curve, sigBad) + if err != nil { + // Signature failed to parse, continue. + continue + } + ok = Verify(pub, msg, bSig.GetR(), bSig.GetS()) + if ok { + t.Fatalf("expected %v, got %v", false, ok) + } + + // Screw up a random bit in the pubkey and + // make sure it still fails. + pkBad := pub.Serialize() + pos = tRand.Intn(31) + if pos == 0 { + // 0th bit in first byte doesn't matter + bitPos = tRand.Intn(6) + 1 + } else { + bitPos = tRand.Intn(7) + } + pkBad[pos] ^= 1 << uint8(bitPos) + bPub, err := ParsePubKey(curve, pkBad) + if err == nil && bPub != nil { + ok = Verify(bPub, msg, r, s) + if ok { + t.Fatalf("expected %v, got %v", false, ok) + } + } + } +} + +func randPrivKeyList(curve *TwistedEdwardsCurve, i int) []*PrivateKey { + r := rand.New(rand.NewSource(54321)) + + privKeyList := make([]*PrivateKey, i) + for j := 0; j < i; j++ { + for { + bIn := new([32]byte) + for k := 0; k < fieldIntSize; k++ { + randByte := r.Intn(255) + bIn[k] = uint8(randByte) + } + + pks, _ := PrivKeyFromSecret(curve, bIn[:]) + if pks == nil { + continue + } + if j > 0 && + (bytes.Equal(pks.Serialize(), privKeyList[j-1].Serialize())) { + r.Seed(int64(j) + r.Int63n(12345)) + continue + } + + privKeyList[j] = pks + r.Seed(int64(j) + 54321) + break + } + } + + return privKeyList +} + +func benchmarkSigning(b *testing.B) { + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + r := rand.New(rand.NewSource(54321)) + msg := []byte{ + 0xbe, 0x13, 0xae, 0xf4, + 0xe8, 0xa2, 0x00, 0xb6, + 0x45, 0x81, 0xc4, 0xd1, + 0x0c, 0xf4, 0x1b, 0x5b, + 0xe1, 0xd1, 0x81, 0xa7, + 0xd3, 0xdc, 0x37, 0x55, + 0x58, 0xc1, 0xbd, 0xa2, + 0x98, 0x2b, 0xd9, 0xfb, + } + + numKeys := 1024 + privKeyList := randPrivKeyList(curve, numKeys) + + for n := 0; n < b.N; n++ { + randIndex := r.Intn(numKeys - 1) + _, _, err := Sign(curve, privKeyList[randIndex], msg) + if err != nil { + panic("sign failure") + } + } +} + +func BenchmarkSigning(b *testing.B) { benchmarkSigning(b) } + +func benchmarkSigningNonStandard(b *testing.B) { + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + r := rand.New(rand.NewSource(54321)) + msg := []byte{ + 0xbe, 0x13, 0xae, 0xf4, + 0xe8, 0xa2, 0x00, 0xb6, + 0x45, 0x81, 0xc4, 0xd1, + 0x0c, 0xf4, 0x1b, 0x5b, + 0xe1, 0xd1, 0x81, 0xa7, + 0xd3, 0xdc, 0x37, 0x55, + 0x58, 0xc1, 0xbd, 0xa2, + 0x98, 0x2b, 0xd9, 0xfb, + } + + numKeys := 250 + privKeyList := randPrivScalarKeyList(curve, numKeys) + + for n := 0; n < b.N; n++ { + randIndex := r.Intn(numKeys - 1) + _, _, err := Sign(curve, privKeyList[randIndex], msg) + if err != nil { + panic("sign failure") + } + } +} + +func BenchmarkSigningNonStandard(b *testing.B) { benchmarkSigningNonStandard(b) } + +type SignatureVerParams struct { + pubkey *PublicKey + msg []byte + sig *Signature +} + +func randSigList(curve *TwistedEdwardsCurve, i int) []*SignatureVerParams { + r := rand.New(rand.NewSource(54321)) + + privKeyList := make([]*PrivateKey, i) + for j := 0; j < i; j++ { + for { + bIn := new([32]byte) + for k := 0; k < fieldIntSize; k++ { + randByte := r.Intn(255) + bIn[k] = uint8(randByte) + } + + pks, _ := PrivKeyFromSecret(curve, bIn[:]) + if pks == nil { + continue + } + privKeyList[j] = pks + r.Seed(int64(j) + 54321) + break + } + } + + msgList := make([][]byte, i) + for j := 0; j < i; j++ { + m := make([]byte, 32) + for k := 0; k < fieldIntSize; k++ { + randByte := r.Intn(255) + m[k] = uint8(randByte) + } + msgList[j] = m + r.Seed(int64(j) + 54321) + } + + sigsList := make([]*Signature, i) + for j := 0; j < i; j++ { + r, s, err := Sign(curve, privKeyList[j], msgList[j]) + if err != nil { + panic("sign failure") + } + sig := &Signature{r, s} + sigsList[j] = sig + } + + sigStructList := make([]*SignatureVerParams, i) + for j := 0; j < i; j++ { + ss := new(SignatureVerParams) + pkx, pky := privKeyList[j].Public() + ss.pubkey = NewPublicKey(curve, pkx, pky) + ss.msg = msgList[j] + ss.sig = sigsList[j] + sigStructList[j] = ss + } + + return sigStructList +} + +func benchmarkVerification(b *testing.B) { + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + r := rand.New(rand.NewSource(54321)) + + numSigs := 1024 + sigList := randSigList(curve, numSigs) + + for n := 0; n < b.N; n++ { + randIndex := r.Intn(numSigs - 1) + ver := Verify(sigList[randIndex].pubkey, + sigList[randIndex].msg, + sigList[randIndex].sig.R, + sigList[randIndex].sig.S) + if !ver { + panic("made invalid sig") + } + } +} + +func BenchmarkVerification(b *testing.B) { benchmarkVerification(b) } diff --git a/crypto/ecc/ed25519/internal/ed25519.go b/crypto/ecc/ed25519/internal/ed25519.go new file mode 100644 index 0000000..61e24c7 --- /dev/null +++ b/crypto/ecc/ed25519/internal/ed25519.go @@ -0,0 +1,197 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// +// The code in the package copied from golang.org/x/crypto/ed25519 +// it used for internal test of edwards25519 package +// it remains unchanged excepting the future bug-fix from the upstream. +// The code will be removed if the "x/crypto/ed25519" expose the edwards25519 package +// (now it's internal). see https://github.com/golang/go/issues/20504 for details +// + +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package ed25519 implements the Ed25519 signature algorithm. See +// https://ed25519.cr.yp.to/. +// +// These functions are also compatible with the “Ed25519” function defined in +// RFC 8032. +package ed25519 + +// This code is a port of the public domain, “ref10” implementation of ed25519 +// from SUPERCOP. + +import ( + "bytes" + "crypto" + cryptorand "crypto/rand" + "crypto/sha512" + "errors" + "io" + "strconv" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal/edwards25519" +) + +const ( + // PublicKeySize is the size, in bytes, of public keys as used in this package. + PublicKeySize = 32 + // PrivateKeySize is the size, in bytes, of private keys as used in this package. + PrivateKeySize = 64 + // SignatureSize is the size, in bytes, of signatures generated and verified by this package. + SignatureSize = 64 +) + +// PublicKey is the type of Ed25519 public keys. +type PublicKey []byte + +// PrivateKey is the type of Ed25519 private keys. It implements crypto.Signer. +type PrivateKey []byte + +// Public returns the PublicKey corresponding to priv. +func (priv PrivateKey) Public() crypto.PublicKey { + publicKey := make([]byte, PublicKeySize) + copy(publicKey, priv[32:]) + return PublicKey(publicKey) +} + +// Sign signs the given message with priv. +// Ed25519 performs two passes over messages to be signed and therefore cannot +// handle pre-hashed messages. Thus opts.HashFunc() must return zero to +// indicate the message hasn't been hashed. This can be achieved by passing +// crypto.Hash(0) as the value for opts. +func (priv PrivateKey) Sign(rand io.Reader, message []byte, opts crypto.SignerOpts) (signature []byte, err error) { + if opts.HashFunc() != crypto.Hash(0) { + return nil, errors.New("ed25519: cannot sign hashed message") + } + + return Sign(priv, message), nil +} + +// GenerateKey generates a public/private key pair using entropy from rand. +// If rand is nil, crypto/rand.Reader will be used. +func GenerateKey(rand io.Reader) (publicKey PublicKey, privateKey PrivateKey, err error) { + if rand == nil { + rand = cryptorand.Reader + } + + privateKey = make([]byte, PrivateKeySize) + publicKey = make([]byte, PublicKeySize) + _, err = io.ReadFull(rand, privateKey[:32]) + if err != nil { + return nil, nil, err + } + + digest := sha512.Sum512(privateKey[:32]) + digest[0] &= 248 + digest[31] &= 127 + digest[31] |= 64 + + var A edwards25519.ExtendedGroupElement + var hBytes [32]byte + copy(hBytes[:], digest[:]) + edwards25519.GeScalarMultBase(&A, &hBytes) + var publicKeyBytes [32]byte + A.ToBytes(&publicKeyBytes) + + copy(privateKey[32:], publicKeyBytes[:]) + copy(publicKey, publicKeyBytes[:]) + + return publicKey, privateKey, nil +} + +// Sign signs the message with privateKey and returns a signature. It will +// panic if len(privateKey) is not PrivateKeySize. +func Sign(privateKey PrivateKey, message []byte) []byte { + if l := len(privateKey); l != PrivateKeySize { + panic("ed25519: bad private key length: " + strconv.Itoa(l)) + } + + h := sha512.New() + h.Write(privateKey[:32]) + + var digest1, messageDigest, hramDigest [64]byte + var expandedSecretKey [32]byte + h.Sum(digest1[:0]) + copy(expandedSecretKey[:], digest1[:]) + expandedSecretKey[0] &= 248 + expandedSecretKey[31] &= 63 + expandedSecretKey[31] |= 64 + + h.Reset() + h.Write(digest1[32:]) + h.Write(message) + h.Sum(messageDigest[:0]) + + var messageDigestReduced [32]byte + edwards25519.ScReduce(&messageDigestReduced, &messageDigest) + var R edwards25519.ExtendedGroupElement + edwards25519.GeScalarMultBase(&R, &messageDigestReduced) + + var encodedR [32]byte + R.ToBytes(&encodedR) + + h.Reset() + h.Write(encodedR[:]) + h.Write(privateKey[32:]) + h.Write(message) + h.Sum(hramDigest[:0]) + var hramDigestReduced [32]byte + edwards25519.ScReduce(&hramDigestReduced, &hramDigest) + + var s [32]byte + edwards25519.ScMulAdd(&s, &hramDigestReduced, &expandedSecretKey, &messageDigestReduced) + + signature := make([]byte, SignatureSize) + copy(signature[:], encodedR[:]) + copy(signature[32:], s[:]) + + return signature +} + +// Verify reports whether sig is a valid signature of message by publicKey. It +// will panic if len(publicKey) is not PublicKeySize. +func Verify(publicKey PublicKey, message, sig []byte) bool { + if l := len(publicKey); l != PublicKeySize { + panic("ed25519: bad public key length: " + strconv.Itoa(l)) + } + + if len(sig) != SignatureSize || sig[63]&224 != 0 { + return false + } + + var A edwards25519.ExtendedGroupElement + var publicKeyBytes [32]byte + copy(publicKeyBytes[:], publicKey) + if !A.FromBytes(&publicKeyBytes) { + return false + } + edwards25519.FeNeg(&A.X, &A.X) + edwards25519.FeNeg(&A.T, &A.T) + + h := sha512.New() + h.Write(sig[:32]) + h.Write(publicKey[:]) + h.Write(message) + var digest [64]byte + h.Sum(digest[:0]) + + var hReduced [32]byte + edwards25519.ScReduce(&hReduced, &digest) + + var R edwards25519.ProjectiveGroupElement + var s [32]byte + copy(s[:], sig[32:]) + + // https://tools.ietf.org/html/rfc8032#section-5.1.7 requires that s be in + // the range [0, order) in order to prevent signature malleability. + if !edwards25519.ScMinimal(&s) { + return false + } + + edwards25519.GeDoubleScalarMultVartime(&R, &hReduced, &A, &s) + + var checkR [32]byte + R.ToBytes(&checkR) + return bytes.Equal(sig[:32], checkR[:]) +} diff --git a/crypto/ecc/ed25519/internal/ed25519_test.go b/crypto/ecc/ed25519/internal/ed25519_test.go new file mode 100644 index 0000000..5e16f28 --- /dev/null +++ b/crypto/ecc/ed25519/internal/ed25519_test.go @@ -0,0 +1,207 @@ +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package ed25519 + +import ( + "bufio" + "bytes" + "compress/gzip" + "crypto" + "crypto/rand" + "encoding/hex" + "os" + "strings" + "testing" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal/edwards25519" +) + +type zeroReader struct{} + +func (zeroReader) Read(buf []byte) (int, error) { + for i := range buf { + buf[i] = 0 + } + return len(buf), nil +} + +func TestUnmarshalMarshal(t *testing.T) { + pub, _, _ := GenerateKey(rand.Reader) + + var A edwards25519.ExtendedGroupElement + var pubBytes [32]byte + copy(pubBytes[:], pub) + if !A.FromBytes(&pubBytes) { + t.Fatalf("ExtendedGroupElement.FromBytes failed") + } + + var pub2 [32]byte + A.ToBytes(&pub2) + + if pubBytes != pub2 { + t.Errorf("FromBytes(%v)->ToBytes does not round-trip, got %x\n", pubBytes, pub2) + } +} + +func TestSignVerify(t *testing.T) { + var zero zeroReader + public, private, _ := GenerateKey(zero) + + message := []byte("test message") + sig := Sign(private, message) + if !Verify(public, message, sig) { + t.Errorf("valid signature rejected") + } + + wrongMessage := []byte("wrong message") + if Verify(public, wrongMessage, sig) { + t.Errorf("signature of different message accepted") + } +} + +func TestCryptoSigner(t *testing.T) { + var zero zeroReader + public, private, _ := GenerateKey(zero) + + signer := crypto.Signer(private) + + publicInterface := signer.Public() + public2, ok := publicInterface.(PublicKey) + if !ok { + t.Fatalf("expected PublicKey from Public() but got %T", publicInterface) + } + + if !bytes.Equal(public, public2) { + t.Errorf("public keys do not match: original:%x vs Public():%x", public, public2) + } + + message := []byte("message") + var noHash crypto.Hash + signature, err := signer.Sign(zero, message, noHash) + if err != nil { + t.Fatalf("error from Sign(): %s", err) + } + + if !Verify(public, message, signature) { + t.Errorf("Verify failed on signature from Sign()") + } +} + +func TestGolden(t *testing.T) { + // sign.input.gz is a selection of test cases from + // https://ed25519.cr.yp.to/python/sign.input + testDataZ, err := os.Open("testdata/sign.input.gz") + if err != nil { + t.Fatal(err) + } + defer testDataZ.Close() + testData, err := gzip.NewReader(testDataZ) + if err != nil { + t.Fatal(err) + } + defer testData.Close() + + scanner := bufio.NewScanner(testData) + lineNo := 0 + + for scanner.Scan() { + lineNo++ + + line := scanner.Text() + parts := strings.Split(line, ":") + if len(parts) != 5 { + t.Fatalf("bad number of parts on line %d", lineNo) + } + + privBytes, _ := hex.DecodeString(parts[0]) + pubKey, _ := hex.DecodeString(parts[1]) + msg, _ := hex.DecodeString(parts[2]) + sig, _ := hex.DecodeString(parts[3]) + // The signatures in the test vectors also include the message + // at the end, but we just want R and S. + sig = sig[:SignatureSize] + + if l := len(pubKey); l != PublicKeySize { + t.Fatalf("bad public key length on line %d: got %d bytes", lineNo, l) + } + + var priv [PrivateKeySize]byte + copy(priv[:], privBytes) + copy(priv[32:], pubKey) + + sig2 := Sign(priv[:], msg) + if !bytes.Equal(sig, sig2[:]) { + t.Errorf("different signature result on line %d: %x vs %x", lineNo, sig, sig2) + } + + if !Verify(pubKey, msg, sig2) { + t.Errorf("signature failed to verify on line %d", lineNo) + } + } + + if err := scanner.Err(); err != nil { + t.Fatalf("error reading test data: %s", err) + } +} + +func TestMalleability(t *testing.T) { + // https://tools.ietf.org/html/rfc8032#section-5.1.7 adds an additional test + // that s be in [0, order). This prevents someone from adding a multiple of + // order to s and obtaining a second valid signature for the same message. + msg := []byte{0x54, 0x65, 0x73, 0x74} + sig := []byte{ + 0x7c, 0x38, 0xe0, 0x26, 0xf2, 0x9e, 0x14, 0xaa, 0xbd, 0x05, 0x9a, + 0x0f, 0x2d, 0xb8, 0xb0, 0xcd, 0x78, 0x30, 0x40, 0x60, 0x9a, 0x8b, + 0xe6, 0x84, 0xdb, 0x12, 0xf8, 0x2a, 0x27, 0x77, 0x4a, 0xb0, 0x67, + 0x65, 0x4b, 0xce, 0x38, 0x32, 0xc2, 0xd7, 0x6f, 0x8f, 0x6f, 0x5d, + 0xaf, 0xc0, 0x8d, 0x93, 0x39, 0xd4, 0xee, 0xf6, 0x76, 0x57, 0x33, + 0x36, 0xa5, 0xc5, 0x1e, 0xb6, 0xf9, 0x46, 0xb3, 0x1d, + } + publicKey := []byte{ + 0x7d, 0x4d, 0x0e, 0x7f, 0x61, 0x53, 0xa6, 0x9b, 0x62, 0x42, 0xb5, + 0x22, 0xab, 0xbe, 0xe6, 0x85, 0xfd, 0xa4, 0x42, 0x0f, 0x88, 0x34, + 0xb1, 0x08, 0xc3, 0xbd, 0xae, 0x36, 0x9e, 0xf5, 0x49, 0xfa, + } + + if Verify(publicKey, msg, sig) { + t.Fatal("non-canonical signature accepted") + } +} + +func BenchmarkKeyGeneration(b *testing.B) { + var zero zeroReader + for i := 0; i < b.N; i++ { + if _, _, err := GenerateKey(zero); err != nil { + b.Fatal(err) + } + } +} + +func BenchmarkSigning(b *testing.B) { + var zero zeroReader + _, priv, err := GenerateKey(zero) + if err != nil { + b.Fatal(err) + } + message := []byte("Hello, world!") + b.ResetTimer() + for i := 0; i < b.N; i++ { + Sign(priv, message) + } +} + +func BenchmarkVerification(b *testing.B) { + var zero zeroReader + pub, priv, err := GenerateKey(zero) + if err != nil { + b.Fatal(err) + } + message := []byte("Hello, world!") + signature := Sign(priv, message) + b.ResetTimer() + for i := 0; i < b.N; i++ { + Verify(pub, message, signature) + } +} diff --git a/crypto/ecc/ed25519/internal/edwards25519/const.go b/crypto/ecc/ed25519/internal/edwards25519/const.go new file mode 100644 index 0000000..e39f086 --- /dev/null +++ b/crypto/ecc/ed25519/internal/edwards25519/const.go @@ -0,0 +1,1422 @@ +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package edwards25519 + +// These values are from the public domain, “ref10” implementation of ed25519 +// from SUPERCOP. + +// d is a constant in the Edwards curve equation. +var d = FieldElement{ + -10913610, 13857413, -15372611, 6949391, 114729, -8787816, -6275908, -3247719, -18696448, -12055116, +} + +// d2 is 2*d. +var d2 = FieldElement{ + -21827239, -5839606, -30745221, 13898782, 229458, 15978800, -12551817, -6495438, 29715968, 9444199, +} + +// SqrtM1 is the square-root of -1 in the field. +var SqrtM1 = FieldElement{ + -32595792, -7943725, 9377950, 3500415, 12389472, -272473, -25146209, -2005654, 326686, 11406482, +} + +// A is a constant in the Montgomery-form of curve25519. +var A = FieldElement{ + 486662, 0, 0, 0, 0, 0, 0, 0, 0, 0, +} + +// bi contains precomputed multiples of the base-point. See the Ed25519 paper +// for a discussion about how these values are used. +var bi = [8]PreComputedGroupElement{ + { + FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, + FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, + FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}, + }, + { + FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, + FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, + FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}, + }, + { + FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, + FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, + FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}, + }, + { + FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, + FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, + FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}, + }, + { + FieldElement{-22518993, -6692182, 14201702, -8745502, -23510406, 8844726, 18474211, -1361450, -13062696, 13821877}, + FieldElement{-6455177, -7839871, 3374702, -4740862, -27098617, -10571707, 31655028, -7212327, 18853322, -14220951}, + FieldElement{4566830, -12963868, -28974889, -12240689, -7602672, -2830569, -8514358, -10431137, 2207753, -3209784}, + }, + { + FieldElement{-25154831, -4185821, 29681144, 7868801, -6854661, -9423865, -12437364, -663000, -31111463, -16132436}, + FieldElement{25576264, -2703214, 7349804, -11814844, 16472782, 9300885, 3844789, 15725684, 171356, 6466918}, + FieldElement{23103977, 13316479, 9739013, -16149481, 817875, -15038942, 8965339, -14088058, -30714912, 16193877}, + }, + { + FieldElement{-33521811, 3180713, -2394130, 14003687, -16903474, -16270840, 17238398, 4729455, -18074513, 9256800}, + FieldElement{-25182317, -4174131, 32336398, 5036987, -21236817, 11360617, 22616405, 9761698, -19827198, 630305}, + FieldElement{-13720693, 2639453, -24237460, -7406481, 9494427, -5774029, -6554551, -15960994, -2449256, -14291300}, + }, + { + FieldElement{-3151181, -5046075, 9282714, 6866145, -31907062, -863023, -18940575, 15033784, 25105118, -7894876}, + FieldElement{-24326370, 15950226, -31801215, -14592823, -11662737, -5090925, 1573892, -2625887, 2198790, -15804619}, + FieldElement{-3099351, 10324967, -2241613, 7453183, -5446979, -2735503, -13812022, -16236442, -32461234, -12290683}, + }, +} + +// base contains precomputed multiples of the base-point. See the Ed25519 paper +// for a discussion about how these values are used. +var base = [32][8]PreComputedGroupElement{ + { + { + FieldElement{25967493, -14356035, 29566456, 3660896, -12694345, 4014787, 27544626, -11754271, -6079156, 2047605}, + FieldElement{-12545711, 934262, -2722910, 3049990, -727428, 9406986, 12720692, 5043384, 19500929, -15469378}, + FieldElement{-8738181, 4489570, 9688441, -14785194, 10184609, -12363380, 29287919, 11864899, -24514362, -4438546}, + }, + { + FieldElement{-12815894, -12976347, -21581243, 11784320, -25355658, -2750717, -11717903, -3814571, -358445, -10211303}, + FieldElement{-21703237, 6903825, 27185491, 6451973, -29577724, -9554005, -15616551, 11189268, -26829678, -5319081}, + FieldElement{26966642, 11152617, 32442495, 15396054, 14353839, -12752335, -3128826, -9541118, -15472047, -4166697}, + }, + { + FieldElement{15636291, -9688557, 24204773, -7912398, 616977, -16685262, 27787600, -14772189, 28944400, -1550024}, + FieldElement{16568933, 4717097, -11556148, -1102322, 15682896, -11807043, 16354577, -11775962, 7689662, 11199574}, + FieldElement{30464156, -5976125, -11779434, -15670865, 23220365, 15915852, 7512774, 10017326, -17749093, -9920357}, + }, + { + FieldElement{-17036878, 13921892, 10945806, -6033431, 27105052, -16084379, -28926210, 15006023, 3284568, -6276540}, + FieldElement{23599295, -8306047, -11193664, -7687416, 13236774, 10506355, 7464579, 9656445, 13059162, 10374397}, + FieldElement{7798556, 16710257, 3033922, 2874086, 28997861, 2835604, 32406664, -3839045, -641708, -101325}, + }, + { + FieldElement{10861363, 11473154, 27284546, 1981175, -30064349, 12577861, 32867885, 14515107, -15438304, 10819380}, + FieldElement{4708026, 6336745, 20377586, 9066809, -11272109, 6594696, -25653668, 12483688, -12668491, 5581306}, + FieldElement{19563160, 16186464, -29386857, 4097519, 10237984, -4348115, 28542350, 13850243, -23678021, -15815942}, + }, + { + FieldElement{-15371964, -12862754, 32573250, 4720197, -26436522, 5875511, -19188627, -15224819, -9818940, -12085777}, + FieldElement{-8549212, 109983, 15149363, 2178705, 22900618, 4543417, 3044240, -15689887, 1762328, 14866737}, + FieldElement{-18199695, -15951423, -10473290, 1707278, -17185920, 3916101, -28236412, 3959421, 27914454, 4383652}, + }, + { + FieldElement{5153746, 9909285, 1723747, -2777874, 30523605, 5516873, 19480852, 5230134, -23952439, -15175766}, + FieldElement{-30269007, -3463509, 7665486, 10083793, 28475525, 1649722, 20654025, 16520125, 30598449, 7715701}, + FieldElement{28881845, 14381568, 9657904, 3680757, -20181635, 7843316, -31400660, 1370708, 29794553, -1409300}, + }, + { + FieldElement{14499471, -2729599, -33191113, -4254652, 28494862, 14271267, 30290735, 10876454, -33154098, 2381726}, + FieldElement{-7195431, -2655363, -14730155, 462251, -27724326, 3941372, -6236617, 3696005, -32300832, 15351955}, + FieldElement{27431194, 8222322, 16448760, -3907995, -18707002, 11938355, -32961401, -2970515, 29551813, 10109425}, + }, + }, + { + { + FieldElement{-13657040, -13155431, -31283750, 11777098, 21447386, 6519384, -2378284, -1627556, 10092783, -4764171}, + FieldElement{27939166, 14210322, 4677035, 16277044, -22964462, -12398139, -32508754, 12005538, -17810127, 12803510}, + FieldElement{17228999, -15661624, -1233527, 300140, -1224870, -11714777, 30364213, -9038194, 18016357, 4397660}, + }, + { + FieldElement{-10958843, -7690207, 4776341, -14954238, 27850028, -15602212, -26619106, 14544525, -17477504, 982639}, + FieldElement{29253598, 15796703, -2863982, -9908884, 10057023, 3163536, 7332899, -4120128, -21047696, 9934963}, + FieldElement{5793303, 16271923, -24131614, -10116404, 29188560, 1206517, -14747930, 4559895, -30123922, -10897950}, + }, + { + FieldElement{-27643952, -11493006, 16282657, -11036493, 28414021, -15012264, 24191034, 4541697, -13338309, 5500568}, + FieldElement{12650548, -1497113, 9052871, 11355358, -17680037, -8400164, -17430592, 12264343, 10874051, 13524335}, + FieldElement{25556948, -3045990, 714651, 2510400, 23394682, -10415330, 33119038, 5080568, -22528059, 5376628}, + }, + { + FieldElement{-26088264, -4011052, -17013699, -3537628, -6726793, 1920897, -22321305, -9447443, 4535768, 1569007}, + FieldElement{-2255422, 14606630, -21692440, -8039818, 28430649, 8775819, -30494562, 3044290, 31848280, 12543772}, + FieldElement{-22028579, 2943893, -31857513, 6777306, 13784462, -4292203, -27377195, -2062731, 7718482, 14474653}, + }, + { + FieldElement{2385315, 2454213, -22631320, 46603, -4437935, -15680415, 656965, -7236665, 24316168, -5253567}, + FieldElement{13741529, 10911568, -33233417, -8603737, -20177830, -1033297, 33040651, -13424532, -20729456, 8321686}, + FieldElement{21060490, -2212744, 15712757, -4336099, 1639040, 10656336, 23845965, -11874838, -9984458, 608372}, + }, + { + FieldElement{-13672732, -15087586, -10889693, -7557059, -6036909, 11305547, 1123968, -6780577, 27229399, 23887}, + FieldElement{-23244140, -294205, -11744728, 14712571, -29465699, -2029617, 12797024, -6440308, -1633405, 16678954}, + FieldElement{-29500620, 4770662, -16054387, 14001338, 7830047, 9564805, -1508144, -4795045, -17169265, 4904953}, + }, + { + FieldElement{24059557, 14617003, 19037157, -15039908, 19766093, -14906429, 5169211, 16191880, 2128236, -4326833}, + FieldElement{-16981152, 4124966, -8540610, -10653797, 30336522, -14105247, -29806336, 916033, -6882542, -2986532}, + FieldElement{-22630907, 12419372, -7134229, -7473371, -16478904, 16739175, 285431, 2763829, 15736322, 4143876}, + }, + { + FieldElement{2379352, 11839345, -4110402, -5988665, 11274298, 794957, 212801, -14594663, 23527084, -16458268}, + FieldElement{33431127, -11130478, -17838966, -15626900, 8909499, 8376530, -32625340, 4087881, -15188911, -14416214}, + FieldElement{1767683, 7197987, -13205226, -2022635, -13091350, 448826, 5799055, 4357868, -4774191, -16323038}, + }, + }, + { + { + FieldElement{6721966, 13833823, -23523388, -1551314, 26354293, -11863321, 23365147, -3949732, 7390890, 2759800}, + 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-7839692, -7852844, -8138429}, + FieldElement{-15236356, -15433509, 7766470, 746860, 26346930, -10221762, -27333451, 10754588, -9431476, 5203576}, + FieldElement{31834314, 14135496, -770007, 5159118, 20917671, -16768096, -7467973, -7337524, 31809243, 7347066}, + }, + { + FieldElement{-9606723, -11874240, 20414459, 13033986, 13716524, -11691881, 19797970, -12211255, 15192876, -2087490}, + FieldElement{-12663563, -2181719, 1168162, -3804809, 26747877, -14138091, 10609330, 12694420, 33473243, -13382104}, + FieldElement{33184999, 11180355, 15832085, -11385430, -1633671, 225884, 15089336, -11023903, -6135662, 14480053}, + }, + { + FieldElement{31308717, -5619998, 31030840, -1897099, 15674547, -6582883, 5496208, 13685227, 27595050, 8737275}, + FieldElement{-20318852, -15150239, 10933843, -16178022, 8335352, -7546022, -31008351, -12610604, 26498114, 66511}, + FieldElement{22644454, -8761729, -16671776, 4884562, -3105614, -13559366, 30540766, -4286747, -13327787, -7515095}, + }, + { + FieldElement{-28017847, 9834845, 18617207, -2681312, -3401956, -13307506, 8205540, 13585437, -17127465, 15115439}, + FieldElement{23711543, -672915, 31206561, -8362711, 6164647, -9709987, -33535882, -1426096, 8236921, 16492939}, + FieldElement{-23910559, -13515526, -26299483, -4503841, 25005590, -7687270, 19574902, 10071562, 6708380, -6222424}, + }, + { + FieldElement{2101391, -4930054, 19702731, 2367575, -15427167, 1047675, 5301017, 9328700, 29955601, -11678310}, + FieldElement{3096359, 9271816, -21620864, -15521844, -14847996, -7592937, -25892142, -12635595, -9917575, 6216608}, + FieldElement{-32615849, 338663, -25195611, 2510422, -29213566, -13820213, 24822830, -6146567, -26767480, 7525079}, + }, + { + FieldElement{-23066649, -13985623, 16133487, -7896178, -3389565, 778788, -910336, -2782495, -19386633, 11994101}, + FieldElement{21691500, -13624626, -641331, -14367021, 3285881, -3483596, -25064666, 9718258, -7477437, 13381418}, + FieldElement{18445390, -4202236, 14979846, 11622458, -1727110, -3582980, 23111648, -6375247, 28535282, 15779576}, + }, + { + FieldElement{30098053, 3089662, -9234387, 16662135, -21306940, 11308411, -14068454, 12021730, 9955285, -16303356}, + FieldElement{9734894, -14576830, -7473633, -9138735, 2060392, 11313496, -18426029, 9924399, 20194861, 13380996}, + FieldElement{-26378102, -7965207, -22167821, 15789297, -18055342, -6168792, -1984914, 15707771, 26342023, 10146099}, + }, + }, + { + { + FieldElement{-26016874, -219943, 21339191, -41388, 19745256, -2878700, -29637280, 2227040, 21612326, -545728}, + FieldElement{-13077387, 1184228, 23562814, -5970442, -20351244, -6348714, 25764461, 12243797, -20856566, 11649658}, + FieldElement{-10031494, 11262626, 27384172, 2271902, 26947504, -15997771, 39944, 6114064, 33514190, 2333242}, + }, + { + FieldElement{-21433588, -12421821, 8119782, 7219913, -21830522, -9016134, -6679750, -12670638, 24350578, -13450001}, + FieldElement{-4116307, -11271533, -23886186, 4843615, -30088339, 690623, -31536088, -10406836, 8317860, 12352766}, + FieldElement{18200138, -14475911, -33087759, -2696619, -23702521, -9102511, -23552096, -2287550, 20712163, 6719373}, + }, + { + FieldElement{26656208, 6075253, -7858556, 1886072, -28344043, 4262326, 11117530, -3763210, 26224235, -3297458}, + FieldElement{-17168938, -14854097, -3395676, -16369877, -19954045, 14050420, 21728352, 9493610, 18620611, -16428628}, + FieldElement{-13323321, 13325349, 11432106, 5964811, 18609221, 6062965, -5269471, -9725556, -30701573, -16479657}, + }, + { + FieldElement{-23860538, -11233159, 26961357, 1640861, -32413112, -16737940, 12248509, -5240639, 13735342, 1934062}, + FieldElement{25089769, 6742589, 17081145, -13406266, 21909293, -16067981, -15136294, -3765346, -21277997, 5473616}, + FieldElement{31883677, -7961101, 1083432, -11572403, 22828471, 13290673, -7125085, 12469656, 29111212, -5451014}, + }, + { + FieldElement{24244947, -15050407, -26262976, 2791540, -14997599, 16666678, 24367466, 6388839, -10295587, 452383}, + FieldElement{-25640782, -3417841, 5217916, 16224624, 19987036, -4082269, -24236251, -5915248, 15766062, 8407814}, + FieldElement{-20406999, 13990231, 15495425, 16395525, 5377168, 15166495, -8917023, -4388953, -8067909, 2276718}, + }, + { + FieldElement{30157918, 12924066, -17712050, 9245753, 19895028, 3368142, -23827587, 5096219, 22740376, -7303417}, + FieldElement{2041139, -14256350, 7783687, 13876377, -25946985, -13352459, 24051124, 13742383, -15637599, 13295222}, + FieldElement{33338237, -8505733, 12532113, 7977527, 9106186, -1715251, -17720195, -4612972, -4451357, -14669444}, + }, + { + FieldElement{-20045281, 5454097, -14346548, 6447146, 28862071, 1883651, -2469266, -4141880, 7770569, 9620597}, + FieldElement{23208068, 7979712, 33071466, 8149229, 1758231, -10834995, 30945528, -1694323, -33502340, -14767970}, + FieldElement{1439958, -16270480, -1079989, -793782, 4625402, 10647766, -5043801, 1220118, 30494170, -11440799}, + }, + { + FieldElement{-5037580, -13028295, -2970559, -3061767, 15640974, -6701666, -26739026, 926050, -1684339, -13333647}, + FieldElement{13908495, -3549272, 30919928, -6273825, -21521863, 7989039, 9021034, 9078865, 3353509, 4033511}, + FieldElement{-29663431, -15113610, 32259991, -344482, 24295849, -12912123, 23161163, 8839127, 27485041, 7356032}, + }, + }, + { + { + FieldElement{9661027, 705443, 11980065, -5370154, -1628543, 14661173, -6346142, 2625015, 28431036, -16771834}, + FieldElement{-23839233, -8311415, -25945511, 7480958, -17681669, -8354183, -22545972, 14150565, 15970762, 4099461}, + FieldElement{29262576, 16756590, 26350592, -8793563, 8529671, -11208050, 13617293, -9937143, 11465739, 8317062}, + }, + { + FieldElement{-25493081, -6962928, 32500200, -9419051, -23038724, -2302222, 14898637, 3848455, 20969334, -5157516}, + FieldElement{-20384450, -14347713, -18336405, 13884722, -33039454, 2842114, -21610826, -3649888, 11177095, 14989547}, + FieldElement{-24496721, -11716016, 16959896, 2278463, 12066309, 10137771, 13515641, 2581286, -28487508, 9930240}, + }, + { + FieldElement{-17751622, -2097826, 16544300, -13009300, -15914807, -14949081, 18345767, -13403753, 16291481, -5314038}, + FieldElement{-33229194, 2553288, 32678213, 9875984, 8534129, 6889387, -9676774, 6957617, 4368891, 9788741}, + FieldElement{16660756, 7281060, -10830758, 12911820, 20108584, -8101676, -21722536, -8613148, 16250552, -11111103}, + }, + { + FieldElement{-19765507, 2390526, -16551031, 14161980, 1905286, 6414907, 4689584, 10604807, -30190403, 4782747}, + FieldElement{-1354539, 14736941, -7367442, -13292886, 7710542, -14155590, -9981571, 4383045, 22546403, 437323}, + FieldElement{31665577, -12180464, -16186830, 1491339, -18368625, 3294682, 27343084, 2786261, -30633590, -14097016}, + }, + { + FieldElement{-14467279, -683715, -33374107, 7448552, 19294360, 14334329, -19690631, 2355319, -19284671, -6114373}, + FieldElement{15121312, -15796162, 6377020, -6031361, -10798111, -12957845, 18952177, 15496498, -29380133, 11754228}, + FieldElement{-2637277, -13483075, 8488727, -14303896, 12728761, -1622493, 7141596, 11724556, 22761615, -10134141}, + }, + { + FieldElement{16918416, 11729663, -18083579, 3022987, -31015732, -13339659, -28741185, -12227393, 32851222, 11717399}, + FieldElement{11166634, 7338049, -6722523, 4531520, -29468672, -7302055, 31474879, 3483633, -1193175, -4030831}, + FieldElement{-185635, 9921305, 31456609, -13536438, -12013818, 13348923, 33142652, 6546660, -19985279, -3948376}, + }, + { + FieldElement{-32460596, 11266712, -11197107, -7899103, 31703694, 3855903, -8537131, -12833048, -30772034, -15486313}, + FieldElement{-18006477, 12709068, 3991746, -6479188, -21491523, -10550425, -31135347, -16049879, 10928917, 3011958}, + FieldElement{-6957757, -15594337, 31696059, 334240, 29576716, 14796075, -30831056, -12805180, 18008031, 10258577}, + }, + { + FieldElement{-22448644, 15655569, 7018479, -4410003, -30314266, -1201591, -1853465, 1367120, 25127874, 6671743}, + FieldElement{29701166, -14373934, -10878120, 9279288, -17568, 13127210, 21382910, 11042292, 25838796, 4642684}, + FieldElement{-20430234, 14955537, -24126347, 8124619, -5369288, -5990470, 30468147, -13900640, 18423289, 4177476}, + }, + }, +} diff --git a/crypto/ecc/ed25519/internal/edwards25519/edwards25519.go b/crypto/ecc/ed25519/internal/edwards25519/edwards25519.go new file mode 100644 index 0000000..1249d85 --- /dev/null +++ b/crypto/ecc/ed25519/internal/edwards25519/edwards25519.go @@ -0,0 +1,1791 @@ +// Copyright 2016 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package edwards25519 + +import "encoding/binary" + +// This code is a port of the public domain, “ref10” implementation of ed25519 +// from SUPERCOP. + +// FieldElement represents an element of the field GF(2^255 - 19). An element +// t, entries t[0]...t[9], represents the integer t[0]+2^26 t[1]+2^51 t[2]+2^77 +// t[3]+2^102 t[4]+...+2^230 t[9]. Bounds on each t[i] vary depending on +// context. +type FieldElement [10]int32 + +var zero FieldElement + +func FeZero(fe *FieldElement) { + copy(fe[:], zero[:]) +} + +func FeOne(fe *FieldElement) { + FeZero(fe) + fe[0] = 1 +} + +func FeAdd(dst, a, b *FieldElement) { + dst[0] = a[0] + b[0] + dst[1] = a[1] + b[1] + dst[2] = a[2] + b[2] + dst[3] = a[3] + b[3] + dst[4] = a[4] + b[4] + dst[5] = a[5] + b[5] + dst[6] = a[6] + b[6] + dst[7] = a[7] + b[7] + dst[8] = a[8] + b[8] + dst[9] = a[9] + b[9] +} + +func FeSub(dst, a, b *FieldElement) { + dst[0] = a[0] - b[0] + dst[1] = a[1] - b[1] + dst[2] = a[2] - b[2] + dst[3] = a[3] - b[3] + dst[4] = a[4] - b[4] + dst[5] = a[5] - b[5] + dst[6] = a[6] - b[6] + dst[7] = a[7] - b[7] + dst[8] = a[8] - b[8] + dst[9] = a[9] - b[9] +} + +func FeCopy(dst, src *FieldElement) { + copy(dst[:], src[:]) +} + +// Replace (f,g) with (g,g) if b == 1; +// replace (f,g) with (f,g) if b == 0. +// +// Preconditions: b in {0,1}. +func FeCMove(f, g *FieldElement, b int32) { + b = -b + f[0] ^= b & (f[0] ^ g[0]) + f[1] ^= b & (f[1] ^ g[1]) + f[2] ^= b & (f[2] ^ g[2]) + f[3] ^= b & (f[3] ^ g[3]) + f[4] ^= b & (f[4] ^ g[4]) + f[5] ^= b & (f[5] ^ g[5]) + f[6] ^= b & (f[6] ^ g[6]) + f[7] ^= b & (f[7] ^ g[7]) + f[8] ^= b & (f[8] ^ g[8]) + f[9] ^= b & (f[9] ^ g[9]) +} + +func load3(in []byte) int64 { + var r int64 = int64(in[0]) + r |= int64(in[1]) << 8 + r |= int64(in[2]) << 16 + return r +} + +func load4(in []byte) int64 { + var r int64 = int64(in[0]) + r |= int64(in[1]) << 8 + r |= int64(in[2]) << 16 + r |= int64(in[3]) << 24 + return r +} + +func FeFromBytes(dst *FieldElement, src *[32]byte) { + h0 := load4(src[:]) + h1 := load3(src[4:]) << 6 + h2 := load3(src[7:]) << 5 + h3 := load3(src[10:]) << 3 + h4 := load3(src[13:]) << 2 + h5 := load4(src[16:]) + h6 := load3(src[20:]) << 7 + h7 := load3(src[23:]) << 5 + h8 := load3(src[26:]) << 4 + h9 := (load3(src[29:]) & 8388607) << 2 + + FeCombine(dst, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +// FeToBytes marshals h to s. +// Preconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +// +// Write p=2^255-19; q=floor(h/p). +// Basic claim: q = floor(2^(-255)(h + 19 2^(-25)h9 + 2^(-1))). +// +// Proof: +// Have |h|<=p so |q|<=1 so |19^2 2^(-255) q|<1/4. +// Also have |h-2^230 h9|<2^230 so |19 2^(-255)(h-2^230 h9)|<1/4. +// +// Write y=2^(-1)-19^2 2^(-255)q-19 2^(-255)(h-2^230 h9). +// Then 0> 25 + q = (h[0] + q) >> 26 + q = (h[1] + q) >> 25 + q = (h[2] + q) >> 26 + q = (h[3] + q) >> 25 + q = (h[4] + q) >> 26 + q = (h[5] + q) >> 25 + q = (h[6] + q) >> 26 + q = (h[7] + q) >> 25 + q = (h[8] + q) >> 26 + q = (h[9] + q) >> 25 + + // Goal: Output h-(2^255-19)q, which is between 0 and 2^255-20. + h[0] += 19 * q + // Goal: Output h-2^255 q, which is between 0 and 2^255-20. + + carry[0] = h[0] >> 26 + h[1] += carry[0] + h[0] -= carry[0] << 26 + carry[1] = h[1] >> 25 + h[2] += carry[1] + h[1] -= carry[1] << 25 + carry[2] = h[2] >> 26 + h[3] += carry[2] + h[2] -= carry[2] << 26 + carry[3] = h[3] >> 25 + h[4] += carry[3] + h[3] -= carry[3] << 25 + carry[4] = h[4] >> 26 + h[5] += carry[4] + h[4] -= carry[4] << 26 + carry[5] = h[5] >> 25 + h[6] += carry[5] + h[5] -= carry[5] << 25 + carry[6] = h[6] >> 26 + h[7] += carry[6] + h[6] -= carry[6] << 26 + carry[7] = h[7] >> 25 + h[8] += carry[7] + h[7] -= carry[7] << 25 + carry[8] = h[8] >> 26 + h[9] += carry[8] + h[8] -= carry[8] << 26 + carry[9] = h[9] >> 25 + h[9] -= carry[9] << 25 + // h10 = carry9 + + // Goal: Output h[0]+...+2^255 h10-2^255 q, which is between 0 and 2^255-20. + // Have h[0]+...+2^230 h[9] between 0 and 2^255-1; + // evidently 2^255 h10-2^255 q = 0. + // Goal: Output h[0]+...+2^230 h[9]. + + s[0] = byte(h[0] >> 0) + s[1] = byte(h[0] >> 8) + s[2] = byte(h[0] >> 16) + s[3] = byte((h[0] >> 24) | (h[1] << 2)) + s[4] = byte(h[1] >> 6) + s[5] = byte(h[1] >> 14) + s[6] = byte((h[1] >> 22) | (h[2] << 3)) + s[7] = byte(h[2] >> 5) + s[8] = byte(h[2] >> 13) + s[9] = byte((h[2] >> 21) | (h[3] << 5)) + s[10] = byte(h[3] >> 3) + s[11] = byte(h[3] >> 11) + s[12] = byte((h[3] >> 19) | (h[4] << 6)) + s[13] = byte(h[4] >> 2) + s[14] = byte(h[4] >> 10) + s[15] = byte(h[4] >> 18) + s[16] = byte(h[5] >> 0) + s[17] = byte(h[5] >> 8) + s[18] = byte(h[5] >> 16) + s[19] = byte((h[5] >> 24) | (h[6] << 1)) + s[20] = byte(h[6] >> 7) + s[21] = byte(h[6] >> 15) + s[22] = byte((h[6] >> 23) | (h[7] << 3)) + s[23] = byte(h[7] >> 5) + s[24] = byte(h[7] >> 13) + s[25] = byte((h[7] >> 21) | (h[8] << 4)) + s[26] = byte(h[8] >> 4) + s[27] = byte(h[8] >> 12) + s[28] = byte((h[8] >> 20) | (h[9] << 6)) + s[29] = byte(h[9] >> 2) + s[30] = byte(h[9] >> 10) + s[31] = byte(h[9] >> 18) +} + +func FeIsNegative(f *FieldElement) byte { + var s [32]byte + FeToBytes(&s, f) + return s[0] & 1 +} + +func FeIsNonZero(f *FieldElement) int32 { + var s [32]byte + FeToBytes(&s, f) + var x uint8 + for _, b := range s { + x |= b + } + x |= x >> 4 + x |= x >> 2 + x |= x >> 1 + return int32(x & 1) +} + +// FeNeg sets h = -f +// +// Preconditions: +// |f| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +// +// Postconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +func FeNeg(h, f *FieldElement) { + h[0] = -f[0] + h[1] = -f[1] + h[2] = -f[2] + h[3] = -f[3] + h[4] = -f[4] + h[5] = -f[5] + h[6] = -f[6] + h[7] = -f[7] + h[8] = -f[8] + h[9] = -f[9] +} + +func FeCombine(h *FieldElement, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) { + var c0, c1, c2, c3, c4, c5, c6, c7, c8, c9 int64 + + /* + |h0| <= (1.1*1.1*2^52*(1+19+19+19+19)+1.1*1.1*2^50*(38+38+38+38+38)) + i.e. |h0| <= 1.2*2^59; narrower ranges for h2, h4, h6, h8 + |h1| <= (1.1*1.1*2^51*(1+1+19+19+19+19+19+19+19+19)) + i.e. |h1| <= 1.5*2^58; narrower ranges for h3, h5, h7, h9 + */ + + c0 = (h0 + (1 << 25)) >> 26 + h1 += c0 + h0 -= c0 << 26 + c4 = (h4 + (1 << 25)) >> 26 + h5 += c4 + h4 -= c4 << 26 + /* |h0| <= 2^25 */ + /* |h4| <= 2^25 */ + /* |h1| <= 1.51*2^58 */ + /* |h5| <= 1.51*2^58 */ + + c1 = (h1 + (1 << 24)) >> 25 + h2 += c1 + h1 -= c1 << 25 + c5 = (h5 + (1 << 24)) >> 25 + h6 += c5 + h5 -= c5 << 25 + /* |h1| <= 2^24; from now on fits into int32 */ + /* |h5| <= 2^24; from now on fits into int32 */ + /* |h2| <= 1.21*2^59 */ + /* |h6| <= 1.21*2^59 */ + + c2 = (h2 + (1 << 25)) >> 26 + h3 += c2 + h2 -= c2 << 26 + c6 = (h6 + (1 << 25)) >> 26 + h7 += c6 + h6 -= c6 << 26 + /* |h2| <= 2^25; from now on fits into int32 unchanged */ + /* |h6| <= 2^25; from now on fits into int32 unchanged */ + /* |h3| <= 1.51*2^58 */ + /* |h7| <= 1.51*2^58 */ + + c3 = (h3 + (1 << 24)) >> 25 + h4 += c3 + h3 -= c3 << 25 + c7 = (h7 + (1 << 24)) >> 25 + h8 += c7 + h7 -= c7 << 25 + /* |h3| <= 2^24; from now on fits into int32 unchanged */ + /* |h7| <= 2^24; from now on fits into int32 unchanged */ + /* |h4| <= 1.52*2^33 */ + /* |h8| <= 1.52*2^33 */ + + c4 = (h4 + (1 << 25)) >> 26 + h5 += c4 + h4 -= c4 << 26 + c8 = (h8 + (1 << 25)) >> 26 + h9 += c8 + h8 -= c8 << 26 + /* |h4| <= 2^25; from now on fits into int32 unchanged */ + /* |h8| <= 2^25; from now on fits into int32 unchanged */ + /* |h5| <= 1.01*2^24 */ + /* |h9| <= 1.51*2^58 */ + + c9 = (h9 + (1 << 24)) >> 25 + h0 += c9 * 19 + h9 -= c9 << 25 + /* |h9| <= 2^24; from now on fits into int32 unchanged */ + /* |h0| <= 1.8*2^37 */ + + c0 = (h0 + (1 << 25)) >> 26 + h1 += c0 + h0 -= c0 << 26 + /* |h0| <= 2^25; from now on fits into int32 unchanged */ + /* |h1| <= 1.01*2^24 */ + + h[0] = int32(h0) + h[1] = int32(h1) + h[2] = int32(h2) + h[3] = int32(h3) + h[4] = int32(h4) + h[5] = int32(h5) + h[6] = int32(h6) + h[7] = int32(h7) + h[8] = int32(h8) + h[9] = int32(h9) +} + +// FeMul calculates h = f * g +// Can overlap h with f or g. +// +// Preconditions: +// |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +// |g| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +// +// Postconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +// +// Notes on implementation strategy: +// +// Using schoolbook multiplication. +// Karatsuba would save a little in some cost models. +// +// Most multiplications by 2 and 19 are 32-bit precomputations; +// cheaper than 64-bit postcomputations. +// +// There is one remaining multiplication by 19 in the carry chain; +// one *19 precomputation can be merged into this, +// but the resulting data flow is considerably less clean. +// +// There are 12 carries below. +// 10 of them are 2-way parallelizable and vectorizable. +// Can get away with 11 carries, but then data flow is much deeper. +// +// With tighter constraints on inputs, can squeeze carries into int32. +func FeMul(h, f, g *FieldElement) { + f0 := int64(f[0]) + f1 := int64(f[1]) + f2 := int64(f[2]) + f3 := int64(f[3]) + f4 := int64(f[4]) + f5 := int64(f[5]) + f6 := int64(f[6]) + f7 := int64(f[7]) + f8 := int64(f[8]) + f9 := int64(f[9]) + + f1_2 := int64(2 * f[1]) + f3_2 := int64(2 * f[3]) + f5_2 := int64(2 * f[5]) + f7_2 := int64(2 * f[7]) + f9_2 := int64(2 * f[9]) + + g0 := int64(g[0]) + g1 := int64(g[1]) + g2 := int64(g[2]) + g3 := int64(g[3]) + g4 := int64(g[4]) + g5 := int64(g[5]) + g6 := int64(g[6]) + g7 := int64(g[7]) + g8 := int64(g[8]) + g9 := int64(g[9]) + + g1_19 := int64(19 * g[1]) /* 1.4*2^29 */ + g2_19 := int64(19 * g[2]) /* 1.4*2^30; still ok */ + g3_19 := int64(19 * g[3]) + g4_19 := int64(19 * g[4]) + g5_19 := int64(19 * g[5]) + g6_19 := int64(19 * g[6]) + g7_19 := int64(19 * g[7]) + g8_19 := int64(19 * g[8]) + g9_19 := int64(19 * g[9]) + + h0 := f0*g0 + f1_2*g9_19 + f2*g8_19 + f3_2*g7_19 + f4*g6_19 + f5_2*g5_19 + f6*g4_19 + f7_2*g3_19 + f8*g2_19 + f9_2*g1_19 + h1 := f0*g1 + f1*g0 + f2*g9_19 + f3*g8_19 + f4*g7_19 + f5*g6_19 + f6*g5_19 + f7*g4_19 + f8*g3_19 + f9*g2_19 + h2 := f0*g2 + f1_2*g1 + f2*g0 + f3_2*g9_19 + f4*g8_19 + f5_2*g7_19 + f6*g6_19 + f7_2*g5_19 + f8*g4_19 + f9_2*g3_19 + h3 := f0*g3 + f1*g2 + f2*g1 + f3*g0 + f4*g9_19 + f5*g8_19 + f6*g7_19 + f7*g6_19 + f8*g5_19 + f9*g4_19 + h4 := f0*g4 + f1_2*g3 + f2*g2 + f3_2*g1 + f4*g0 + f5_2*g9_19 + f6*g8_19 + f7_2*g7_19 + f8*g6_19 + f9_2*g5_19 + h5 := f0*g5 + f1*g4 + f2*g3 + f3*g2 + f4*g1 + f5*g0 + f6*g9_19 + f7*g8_19 + f8*g7_19 + f9*g6_19 + h6 := f0*g6 + f1_2*g5 + f2*g4 + f3_2*g3 + f4*g2 + f5_2*g1 + f6*g0 + f7_2*g9_19 + f8*g8_19 + f9_2*g7_19 + h7 := f0*g7 + f1*g6 + f2*g5 + f3*g4 + f4*g3 + f5*g2 + f6*g1 + f7*g0 + f8*g9_19 + f9*g8_19 + h8 := f0*g8 + f1_2*g7 + f2*g6 + f3_2*g5 + f4*g4 + f5_2*g3 + f6*g2 + f7_2*g1 + f8*g0 + f9_2*g9_19 + h9 := f0*g9 + f1*g8 + f2*g7 + f3*g6 + f4*g5 + f5*g4 + f6*g3 + f7*g2 + f8*g1 + f9*g0 + + FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +func feSquare(f *FieldElement) (h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 int64) { + f0 := int64(f[0]) + f1 := int64(f[1]) + f2 := int64(f[2]) + f3 := int64(f[3]) + f4 := int64(f[4]) + f5 := int64(f[5]) + f6 := int64(f[6]) + f7 := int64(f[7]) + f8 := int64(f[8]) + f9 := int64(f[9]) + f0_2 := int64(2 * f[0]) + f1_2 := int64(2 * f[1]) + f2_2 := int64(2 * f[2]) + f3_2 := int64(2 * f[3]) + f4_2 := int64(2 * f[4]) + f5_2 := int64(2 * f[5]) + f6_2 := int64(2 * f[6]) + f7_2 := int64(2 * f[7]) + f5_38 := 38 * f5 // 1.31*2^30 + f6_19 := 19 * f6 // 1.31*2^30 + f7_38 := 38 * f7 // 1.31*2^30 + f8_19 := 19 * f8 // 1.31*2^30 + f9_38 := 38 * f9 // 1.31*2^30 + + h0 = f0*f0 + f1_2*f9_38 + f2_2*f8_19 + f3_2*f7_38 + f4_2*f6_19 + f5*f5_38 + h1 = f0_2*f1 + f2*f9_38 + f3_2*f8_19 + f4*f7_38 + f5_2*f6_19 + h2 = f0_2*f2 + f1_2*f1 + f3_2*f9_38 + f4_2*f8_19 + f5_2*f7_38 + f6*f6_19 + h3 = f0_2*f3 + f1_2*f2 + f4*f9_38 + f5_2*f8_19 + f6*f7_38 + h4 = f0_2*f4 + f1_2*f3_2 + f2*f2 + f5_2*f9_38 + f6_2*f8_19 + f7*f7_38 + h5 = f0_2*f5 + f1_2*f4 + f2_2*f3 + f6*f9_38 + f7_2*f8_19 + h6 = f0_2*f6 + f1_2*f5_2 + f2_2*f4 + f3_2*f3 + f7_2*f9_38 + f8*f8_19 + h7 = f0_2*f7 + f1_2*f6 + f2_2*f5 + f3_2*f4 + f8*f9_38 + h8 = f0_2*f8 + f1_2*f7_2 + f2_2*f6 + f3_2*f5_2 + f4*f4 + f9*f9_38 + h9 = f0_2*f9 + f1_2*f8 + f2_2*f7 + f3_2*f6 + f4_2*f5 + + return +} + +// FeSquare calculates h = f*f. Can overlap h with f. +// +// Preconditions: +// |f| bounded by 1.1*2^26,1.1*2^25,1.1*2^26,1.1*2^25,etc. +// +// Postconditions: +// |h| bounded by 1.1*2^25,1.1*2^24,1.1*2^25,1.1*2^24,etc. +func FeSquare(h, f *FieldElement) { + h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f) + FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +// FeSquare2 sets h = 2 * f * f +// +// Can overlap h with f. +// +// Preconditions: +// |f| bounded by 1.65*2^26,1.65*2^25,1.65*2^26,1.65*2^25,etc. +// +// Postconditions: +// |h| bounded by 1.01*2^25,1.01*2^24,1.01*2^25,1.01*2^24,etc. +// See fe_mul.c for discussion of implementation strategy. +func FeSquare2(h, f *FieldElement) { + h0, h1, h2, h3, h4, h5, h6, h7, h8, h9 := feSquare(f) + + h0 += h0 + h1 += h1 + h2 += h2 + h3 += h3 + h4 += h4 + h5 += h5 + h6 += h6 + h7 += h7 + h8 += h8 + h9 += h9 + + FeCombine(h, h0, h1, h2, h3, h4, h5, h6, h7, h8, h9) +} + +func FeInvert(out, z *FieldElement) { + var t0, t1, t2, t3 FieldElement + var i int + + FeSquare(&t0, z) // 2^1 + FeSquare(&t1, &t0) // 2^2 + for i = 1; i < 2; i++ { // 2^3 + FeSquare(&t1, &t1) + } + FeMul(&t1, z, &t1) // 2^3 + 2^0 + FeMul(&t0, &t0, &t1) // 2^3 + 2^1 + 2^0 + FeSquare(&t2, &t0) // 2^4 + 2^2 + 2^1 + FeMul(&t1, &t1, &t2) // 2^4 + 2^3 + 2^2 + 2^1 + 2^0 + FeSquare(&t2, &t1) // 5,4,3,2,1 + for i = 1; i < 5; i++ { // 9,8,7,6,5 + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) // 9,8,7,6,5,4,3,2,1,0 + FeSquare(&t2, &t1) // 10..1 + for i = 1; i < 10; i++ { // 19..10 + FeSquare(&t2, &t2) + } + FeMul(&t2, &t2, &t1) // 19..0 + FeSquare(&t3, &t2) // 20..1 + for i = 1; i < 20; i++ { // 39..20 + FeSquare(&t3, &t3) + } + FeMul(&t2, &t3, &t2) // 39..0 + FeSquare(&t2, &t2) // 40..1 + for i = 1; i < 10; i++ { // 49..10 + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) // 49..0 + FeSquare(&t2, &t1) // 50..1 + for i = 1; i < 50; i++ { // 99..50 + FeSquare(&t2, &t2) + } + FeMul(&t2, &t2, &t1) // 99..0 + FeSquare(&t3, &t2) // 100..1 + for i = 1; i < 100; i++ { // 199..100 + FeSquare(&t3, &t3) + } + FeMul(&t2, &t3, &t2) // 199..0 + FeSquare(&t2, &t2) // 200..1 + for i = 1; i < 50; i++ { // 249..50 + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) // 249..0 + FeSquare(&t1, &t1) // 250..1 + for i = 1; i < 5; i++ { // 254..5 + FeSquare(&t1, &t1) + } + FeMul(out, &t1, &t0) // 254..5,3,1,0 +} + +func fePow22523(out, z *FieldElement) { + var t0, t1, t2 FieldElement + var i int + + FeSquare(&t0, z) + for i = 1; i < 1; i++ { + FeSquare(&t0, &t0) + } + FeSquare(&t1, &t0) + for i = 1; i < 2; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t1, z, &t1) + FeMul(&t0, &t0, &t1) + FeSquare(&t0, &t0) + for i = 1; i < 1; i++ { + FeSquare(&t0, &t0) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t1, &t0) + for i = 1; i < 5; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t1, &t0) + for i = 1; i < 10; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t1, &t1, &t0) + FeSquare(&t2, &t1) + for i = 1; i < 20; i++ { + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) + FeSquare(&t1, &t1) + for i = 1; i < 10; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t1, &t0) + for i = 1; i < 50; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t1, &t1, &t0) + FeSquare(&t2, &t1) + for i = 1; i < 100; i++ { + FeSquare(&t2, &t2) + } + FeMul(&t1, &t2, &t1) + FeSquare(&t1, &t1) + for i = 1; i < 50; i++ { + FeSquare(&t1, &t1) + } + FeMul(&t0, &t1, &t0) + FeSquare(&t0, &t0) + for i = 1; i < 2; i++ { + FeSquare(&t0, &t0) + } + FeMul(out, &t0, z) +} + +// Group elements are members of the elliptic curve -x^2 + y^2 = 1 + d * x^2 * +// y^2 where d = -121665/121666. +// +// Several representations are used: +// ProjectiveGroupElement: (X:Y:Z) satisfying x=X/Z, y=Y/Z +// ExtendedGroupElement: (X:Y:Z:T) satisfying x=X/Z, y=Y/Z, XY=ZT +// CompletedGroupElement: ((X:Z),(Y:T)) satisfying x=X/Z, y=Y/T +// PreComputedGroupElement: (y+x,y-x,2dxy) + +type ProjectiveGroupElement struct { + X, Y, Z FieldElement +} + +type ExtendedGroupElement struct { + X, Y, Z, T FieldElement +} + +type CompletedGroupElement struct { + X, Y, Z, T FieldElement +} + +type PreComputedGroupElement struct { + yPlusX, yMinusX, xy2d FieldElement +} + +type CachedGroupElement struct { + yPlusX, yMinusX, Z, T2d FieldElement +} + +func (p *ProjectiveGroupElement) Zero() { + FeZero(&p.X) + FeOne(&p.Y) + FeOne(&p.Z) +} + +func (p *ProjectiveGroupElement) Double(r *CompletedGroupElement) { + var t0 FieldElement + + FeSquare(&r.X, &p.X) + FeSquare(&r.Z, &p.Y) + FeSquare2(&r.T, &p.Z) + FeAdd(&r.Y, &p.X, &p.Y) + FeSquare(&t0, &r.Y) + FeAdd(&r.Y, &r.Z, &r.X) + FeSub(&r.Z, &r.Z, &r.X) + FeSub(&r.X, &t0, &r.Y) + FeSub(&r.T, &r.T, &r.Z) +} + +func (p *ProjectiveGroupElement) ToBytes(s *[32]byte) { + var recip, x, y FieldElement + + FeInvert(&recip, &p.Z) + FeMul(&x, &p.X, &recip) + FeMul(&y, &p.Y, &recip) + FeToBytes(s, &y) + s[31] ^= FeIsNegative(&x) << 7 +} + +func (p *ExtendedGroupElement) Zero() { + FeZero(&p.X) + FeOne(&p.Y) + FeOne(&p.Z) + FeZero(&p.T) +} + +func (p *ExtendedGroupElement) Double(r *CompletedGroupElement) { + var q ProjectiveGroupElement + p.ToProjective(&q) + q.Double(r) +} + +func (p *ExtendedGroupElement) ToCached(r *CachedGroupElement) { + FeAdd(&r.yPlusX, &p.Y, &p.X) + FeSub(&r.yMinusX, &p.Y, &p.X) + FeCopy(&r.Z, &p.Z) + FeMul(&r.T2d, &p.T, &d2) +} + +func (p *ExtendedGroupElement) ToProjective(r *ProjectiveGroupElement) { + FeCopy(&r.X, &p.X) + FeCopy(&r.Y, &p.Y) + FeCopy(&r.Z, &p.Z) +} + +func (p *ExtendedGroupElement) ToBytes(s *[32]byte) { + var recip, x, y FieldElement + + FeInvert(&recip, &p.Z) + FeMul(&x, &p.X, &recip) + FeMul(&y, &p.Y, &recip) + FeToBytes(s, &y) + s[31] ^= FeIsNegative(&x) << 7 +} + +func (p *ExtendedGroupElement) FromBytes(s *[32]byte) bool { + var u, v, v3, vxx, check FieldElement + + FeFromBytes(&p.Y, s) + FeOne(&p.Z) + FeSquare(&u, &p.Y) + FeMul(&v, &u, &d) + FeSub(&u, &u, &p.Z) // y = y^2-1 + FeAdd(&v, &v, &p.Z) // v = dy^2+1 + + FeSquare(&v3, &v) + FeMul(&v3, &v3, &v) // v3 = v^3 + FeSquare(&p.X, &v3) + FeMul(&p.X, &p.X, &v) + FeMul(&p.X, &p.X, &u) // x = uv^7 + + fePow22523(&p.X, &p.X) // x = (uv^7)^((q-5)/8) + FeMul(&p.X, &p.X, &v3) + FeMul(&p.X, &p.X, &u) // x = uv^3(uv^7)^((q-5)/8) + + var tmpX, tmp2 [32]byte + + FeSquare(&vxx, &p.X) + FeMul(&vxx, &vxx, &v) + FeSub(&check, &vxx, &u) // vx^2-u + if FeIsNonZero(&check) == 1 { + FeAdd(&check, &vxx, &u) // vx^2+u + if FeIsNonZero(&check) == 1 { + return false + } + FeMul(&p.X, &p.X, &SqrtM1) + + FeToBytes(&tmpX, &p.X) + for i, v := range tmpX { + tmp2[31-i] = v + } + } + + if FeIsNegative(&p.X) != (s[31] >> 7) { + FeNeg(&p.X, &p.X) + } + + FeMul(&p.T, &p.X, &p.Y) + return true +} + +func (p *CompletedGroupElement) ToProjective(r *ProjectiveGroupElement) { + FeMul(&r.X, &p.X, &p.T) + FeMul(&r.Y, &p.Y, &p.Z) + FeMul(&r.Z, &p.Z, &p.T) +} + +func (p *CompletedGroupElement) ToExtended(r *ExtendedGroupElement) { + FeMul(&r.X, &p.X, &p.T) + FeMul(&r.Y, &p.Y, &p.Z) + FeMul(&r.Z, &p.Z, &p.T) + FeMul(&r.T, &p.X, &p.Y) +} + +func (p *PreComputedGroupElement) Zero() { + FeOne(&p.yPlusX) + FeOne(&p.yMinusX) + FeZero(&p.xy2d) +} + +func geAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yPlusX) + FeMul(&r.Y, &r.Y, &q.yMinusX) + FeMul(&r.T, &q.T2d, &p.T) + FeMul(&r.X, &p.Z, &q.Z) + FeAdd(&t0, &r.X, &r.X) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeAdd(&r.Z, &t0, &r.T) + FeSub(&r.T, &t0, &r.T) +} + +func geSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *CachedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yMinusX) + FeMul(&r.Y, &r.Y, &q.yPlusX) + FeMul(&r.T, &q.T2d, &p.T) + FeMul(&r.X, &p.Z, &q.Z) + FeAdd(&t0, &r.X, &r.X) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeSub(&r.Z, &t0, &r.T) + FeAdd(&r.T, &t0, &r.T) +} + +func geMixedAdd(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yPlusX) + FeMul(&r.Y, &r.Y, &q.yMinusX) + FeMul(&r.T, &q.xy2d, &p.T) + FeAdd(&t0, &p.Z, &p.Z) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeAdd(&r.Z, &t0, &r.T) + FeSub(&r.T, &t0, &r.T) +} + +func geMixedSub(r *CompletedGroupElement, p *ExtendedGroupElement, q *PreComputedGroupElement) { + var t0 FieldElement + + FeAdd(&r.X, &p.Y, &p.X) + FeSub(&r.Y, &p.Y, &p.X) + FeMul(&r.Z, &r.X, &q.yMinusX) + FeMul(&r.Y, &r.Y, &q.yPlusX) + FeMul(&r.T, &q.xy2d, &p.T) + FeAdd(&t0, &p.Z, &p.Z) + FeSub(&r.X, &r.Z, &r.Y) + FeAdd(&r.Y, &r.Z, &r.Y) + FeSub(&r.Z, &t0, &r.T) + FeAdd(&r.T, &t0, &r.T) +} + +func slide(r *[256]int8, a *[32]byte) { + for i := range r { + r[i] = int8(1 & (a[i>>3] >> uint(i&7))) + } + + for i := range r { + if r[i] != 0 { + for b := 1; b <= 6 && i+b < 256; b++ { + if r[i+b] != 0 { + if r[i]+(r[i+b]<= -15 { + r[i] -= r[i+b] << uint(b) + for k := i + b; k < 256; k++ { + if r[k] == 0 { + r[k] = 1 + break + } + r[k] = 0 + } + } else { + break + } + } + } + } + } +} + +// GeDoubleScalarMultVartime sets r = a*A + b*B +// where a = a[0]+256*a[1]+...+256^31 a[31]. +// and b = b[0]+256*b[1]+...+256^31 b[31]. +// B is the Ed25519 base point (x,4/5) with x positive. +func GeDoubleScalarMultVartime(r *ProjectiveGroupElement, a *[32]byte, A *ExtendedGroupElement, b *[32]byte) { + var aSlide, bSlide [256]int8 + var Ai [8]CachedGroupElement // A,3A,5A,7A,9A,11A,13A,15A + var t CompletedGroupElement + var u, A2 ExtendedGroupElement + var i int + + slide(&aSlide, a) + slide(&bSlide, b) + + A.ToCached(&Ai[0]) + A.Double(&t) + t.ToExtended(&A2) + + for i := 0; i < 7; i++ { + geAdd(&t, &A2, &Ai[i]) + t.ToExtended(&u) + u.ToCached(&Ai[i+1]) + } + + r.Zero() + + for i = 255; i >= 0; i-- { + if aSlide[i] != 0 || bSlide[i] != 0 { + break + } + } + + for ; i >= 0; i-- { + r.Double(&t) + + if aSlide[i] > 0 { + t.ToExtended(&u) + geAdd(&t, &u, &Ai[aSlide[i]/2]) + } else if aSlide[i] < 0 { + t.ToExtended(&u) + geSub(&t, &u, &Ai[(-aSlide[i])/2]) + } + + if bSlide[i] > 0 { + t.ToExtended(&u) + geMixedAdd(&t, &u, &bi[bSlide[i]/2]) + } else if bSlide[i] < 0 { + t.ToExtended(&u) + geMixedSub(&t, &u, &bi[(-bSlide[i])/2]) + } + + t.ToProjective(r) + } +} + +// equal returns 1 if b == c and 0 otherwise, assuming that b and c are +// non-negative. +func equal(b, c int32) int32 { + x := uint32(b ^ c) + x-- + return int32(x >> 31) +} + +// negative returns 1 if b < 0 and 0 otherwise. +func negative(b int32) int32 { + return (b >> 31) & 1 +} + +func PreComputedGroupElementCMove(t, u *PreComputedGroupElement, b int32) { + FeCMove(&t.yPlusX, &u.yPlusX, b) + FeCMove(&t.yMinusX, &u.yMinusX, b) + FeCMove(&t.xy2d, &u.xy2d, b) +} + +func selectPoint(t *PreComputedGroupElement, pos int32, b int32) { + var minusT PreComputedGroupElement + bNegative := negative(b) + bAbs := b - (((-bNegative) & b) << 1) + + t.Zero() + for i := int32(0); i < 8; i++ { + PreComputedGroupElementCMove(t, &base[pos][i], equal(bAbs, i+1)) + } + FeCopy(&minusT.yPlusX, &t.yMinusX) + FeCopy(&minusT.yMinusX, &t.yPlusX) + FeNeg(&minusT.xy2d, &t.xy2d) + PreComputedGroupElementCMove(t, &minusT, bNegative) +} + +// GeScalarMultBase computes h = a*B, where +// a = a[0]+256*a[1]+...+256^31 a[31] +// B is the Ed25519 base point (x,4/5) with x positive. +// +// Preconditions: +// a[31] <= 127 +func GeScalarMultBase(h *ExtendedGroupElement, a *[32]byte) { + var e [64]int8 + + for i, v := range a { + e[2*i] = int8(v & 15) + e[2*i+1] = int8((v >> 4) & 15) + } + + // each e[i] is between 0 and 15 and e[63] is between 0 and 7. + + carry := int8(0) + for i := 0; i < 63; i++ { + e[i] += carry + carry = (e[i] + 8) >> 4 + e[i] -= carry << 4 + } + e[63] += carry + // each e[i] is between -8 and 8. + + h.Zero() + var t PreComputedGroupElement + var r CompletedGroupElement + for i := int32(1); i < 64; i += 2 { + selectPoint(&t, i/2, int32(e[i])) + geMixedAdd(&r, h, &t) + r.ToExtended(h) + } + + var s ProjectiveGroupElement + + h.Double(&r) + r.ToProjective(&s) + s.Double(&r) + r.ToProjective(&s) + s.Double(&r) + r.ToProjective(&s) + s.Double(&r) + r.ToExtended(h) + + for i := int32(0); i < 64; i += 2 { + selectPoint(&t, i/2, int32(e[i])) + geMixedAdd(&r, h, &t) + r.ToExtended(h) + } +} + +// The scalars are GF(2^252 + 27742317777372353535851937790883648493). + +// Input: +// a[0]+256*a[1]+...+256^31*a[31] = a +// b[0]+256*b[1]+...+256^31*b[31] = b +// c[0]+256*c[1]+...+256^31*c[31] = c +// +// Output: +// s[0]+256*s[1]+...+256^31*s[31] = (ab+c) mod l +// where l = 2^252 + 27742317777372353535851937790883648493. +func ScMulAdd(s, a, b, c *[32]byte) { + a0 := 2097151 & load3(a[:]) + a1 := 2097151 & (load4(a[2:]) >> 5) + a2 := 2097151 & (load3(a[5:]) >> 2) + a3 := 2097151 & (load4(a[7:]) >> 7) + a4 := 2097151 & (load4(a[10:]) >> 4) + a5 := 2097151 & (load3(a[13:]) >> 1) + a6 := 2097151 & (load4(a[15:]) >> 6) + a7 := 2097151 & (load3(a[18:]) >> 3) + a8 := 2097151 & load3(a[21:]) + a9 := 2097151 & (load4(a[23:]) >> 5) + a10 := 2097151 & (load3(a[26:]) >> 2) + a11 := (load4(a[28:]) >> 7) + b0 := 2097151 & load3(b[:]) + b1 := 2097151 & (load4(b[2:]) >> 5) + b2 := 2097151 & (load3(b[5:]) >> 2) + b3 := 2097151 & (load4(b[7:]) >> 7) + b4 := 2097151 & (load4(b[10:]) >> 4) + b5 := 2097151 & (load3(b[13:]) >> 1) + b6 := 2097151 & (load4(b[15:]) >> 6) + b7 := 2097151 & (load3(b[18:]) >> 3) + b8 := 2097151 & load3(b[21:]) + b9 := 2097151 & (load4(b[23:]) >> 5) + b10 := 2097151 & (load3(b[26:]) >> 2) + b11 := (load4(b[28:]) >> 7) + c0 := 2097151 & load3(c[:]) + c1 := 2097151 & (load4(c[2:]) >> 5) + c2 := 2097151 & (load3(c[5:]) >> 2) + c3 := 2097151 & (load4(c[7:]) >> 7) + c4 := 2097151 & (load4(c[10:]) >> 4) + c5 := 2097151 & (load3(c[13:]) >> 1) + c6 := 2097151 & (load4(c[15:]) >> 6) + c7 := 2097151 & (load3(c[18:]) >> 3) + c8 := 2097151 & load3(c[21:]) + c9 := 2097151 & (load4(c[23:]) >> 5) + c10 := 2097151 & (load3(c[26:]) >> 2) + c11 := (load4(c[28:]) >> 7) + var carry [23]int64 + + s0 := c0 + a0*b0 + s1 := c1 + a0*b1 + a1*b0 + s2 := c2 + a0*b2 + a1*b1 + a2*b0 + s3 := c3 + a0*b3 + a1*b2 + a2*b1 + a3*b0 + s4 := c4 + a0*b4 + a1*b3 + a2*b2 + a3*b1 + a4*b0 + s5 := c5 + a0*b5 + a1*b4 + a2*b3 + a3*b2 + a4*b1 + a5*b0 + s6 := c6 + a0*b6 + a1*b5 + a2*b4 + a3*b3 + a4*b2 + a5*b1 + a6*b0 + s7 := c7 + a0*b7 + a1*b6 + a2*b5 + a3*b4 + a4*b3 + a5*b2 + a6*b1 + a7*b0 + s8 := c8 + a0*b8 + a1*b7 + a2*b6 + a3*b5 + a4*b4 + a5*b3 + a6*b2 + a7*b1 + a8*b0 + s9 := c9 + a0*b9 + a1*b8 + a2*b7 + a3*b6 + a4*b5 + a5*b4 + a6*b3 + a7*b2 + a8*b1 + a9*b0 + s10 := c10 + a0*b10 + a1*b9 + a2*b8 + a3*b7 + a4*b6 + a5*b5 + a6*b4 + a7*b3 + a8*b2 + a9*b1 + a10*b0 + s11 := c11 + a0*b11 + a1*b10 + a2*b9 + a3*b8 + a4*b7 + a5*b6 + a6*b5 + a7*b4 + a8*b3 + a9*b2 + a10*b1 + a11*b0 + s12 := a1*b11 + a2*b10 + a3*b9 + a4*b8 + a5*b7 + a6*b6 + a7*b5 + a8*b4 + a9*b3 + a10*b2 + a11*b1 + s13 := a2*b11 + a3*b10 + a4*b9 + a5*b8 + a6*b7 + a7*b6 + a8*b5 + a9*b4 + a10*b3 + a11*b2 + s14 := a3*b11 + a4*b10 + a5*b9 + a6*b8 + a7*b7 + a8*b6 + a9*b5 + a10*b4 + a11*b3 + s15 := a4*b11 + a5*b10 + a6*b9 + a7*b8 + a8*b7 + a9*b6 + a10*b5 + a11*b4 + s16 := a5*b11 + a6*b10 + a7*b9 + a8*b8 + a9*b7 + a10*b6 + a11*b5 + s17 := a6*b11 + a7*b10 + a8*b9 + a9*b8 + a10*b7 + a11*b6 + s18 := a7*b11 + a8*b10 + a9*b9 + a10*b8 + a11*b7 + s19 := a8*b11 + a9*b10 + a10*b9 + a11*b8 + s20 := a9*b11 + a10*b10 + a11*b9 + s21 := a10*b11 + a11*b10 + s22 := a11 * b11 + s23 := int64(0) + + carry[0] = (s0 + (1 << 20)) >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[2] = (s2 + (1 << 20)) >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[4] = (s4 + (1 << 20)) >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[12] = (s12 + (1 << 20)) >> 21 + s13 += carry[12] + s12 -= carry[12] << 21 + carry[14] = (s14 + (1 << 20)) >> 21 + s15 += carry[14] + s14 -= carry[14] << 21 + carry[16] = (s16 + (1 << 20)) >> 21 + s17 += carry[16] + s16 -= carry[16] << 21 + carry[18] = (s18 + (1 << 20)) >> 21 + s19 += carry[18] + s18 -= carry[18] << 21 + carry[20] = (s20 + (1 << 20)) >> 21 + s21 += carry[20] + s20 -= carry[20] << 21 + carry[22] = (s22 + (1 << 20)) >> 21 + s23 += carry[22] + s22 -= carry[22] << 21 + + carry[1] = (s1 + (1 << 20)) >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[3] = (s3 + (1 << 20)) >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[5] = (s5 + (1 << 20)) >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + carry[13] = (s13 + (1 << 20)) >> 21 + s14 += carry[13] + s13 -= carry[13] << 21 + carry[15] = (s15 + (1 << 20)) >> 21 + s16 += carry[15] + s15 -= carry[15] << 21 + carry[17] = (s17 + (1 << 20)) >> 21 + s18 += carry[17] + s17 -= carry[17] << 21 + carry[19] = (s19 + (1 << 20)) >> 21 + s20 += carry[19] + s19 -= carry[19] << 21 + carry[21] = (s21 + (1 << 20)) >> 21 + s22 += carry[21] + s21 -= carry[21] << 21 + + s11 += s23 * 666643 + s12 += s23 * 470296 + s13 += s23 * 654183 + s14 -= s23 * 997805 + s15 += s23 * 136657 + s16 -= s23 * 683901 + s23 = 0 + + s10 += s22 * 666643 + s11 += s22 * 470296 + s12 += s22 * 654183 + s13 -= s22 * 997805 + s14 += s22 * 136657 + s15 -= s22 * 683901 + s22 = 0 + + s9 += s21 * 666643 + s10 += s21 * 470296 + s11 += s21 * 654183 + s12 -= s21 * 997805 + s13 += s21 * 136657 + s14 -= s21 * 683901 + s21 = 0 + + s8 += s20 * 666643 + s9 += s20 * 470296 + s10 += s20 * 654183 + s11 -= s20 * 997805 + s12 += s20 * 136657 + s13 -= s20 * 683901 + s20 = 0 + + s7 += s19 * 666643 + s8 += s19 * 470296 + s9 += s19 * 654183 + s10 -= s19 * 997805 + s11 += s19 * 136657 + s12 -= s19 * 683901 + s19 = 0 + + s6 += s18 * 666643 + s7 += s18 * 470296 + s8 += s18 * 654183 + s9 -= s18 * 997805 + s10 += s18 * 136657 + s11 -= s18 * 683901 + s18 = 0 + + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[12] = (s12 + (1 << 20)) >> 21 + s13 += carry[12] + s12 -= carry[12] << 21 + carry[14] = (s14 + (1 << 20)) >> 21 + s15 += carry[14] + s14 -= carry[14] << 21 + carry[16] = (s16 + (1 << 20)) >> 21 + s17 += carry[16] + s16 -= carry[16] << 21 + + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + carry[13] = (s13 + (1 << 20)) >> 21 + s14 += carry[13] + s13 -= carry[13] << 21 + carry[15] = (s15 + (1 << 20)) >> 21 + s16 += carry[15] + s15 -= carry[15] << 21 + + s5 += s17 * 666643 + s6 += s17 * 470296 + s7 += s17 * 654183 + s8 -= s17 * 997805 + s9 += s17 * 136657 + s10 -= s17 * 683901 + s17 = 0 + + s4 += s16 * 666643 + s5 += s16 * 470296 + s6 += s16 * 654183 + s7 -= s16 * 997805 + s8 += s16 * 136657 + s9 -= s16 * 683901 + s16 = 0 + + s3 += s15 * 666643 + s4 += s15 * 470296 + s5 += s15 * 654183 + s6 -= s15 * 997805 + s7 += s15 * 136657 + s8 -= s15 * 683901 + s15 = 0 + + s2 += s14 * 666643 + s3 += s14 * 470296 + s4 += s14 * 654183 + s5 -= s14 * 997805 + s6 += s14 * 136657 + s7 -= s14 * 683901 + s14 = 0 + + s1 += s13 * 666643 + s2 += s13 * 470296 + s3 += s13 * 654183 + s4 -= s13 * 997805 + s5 += s13 * 136657 + s6 -= s13 * 683901 + s13 = 0 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = (s0 + (1 << 20)) >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[2] = (s2 + (1 << 20)) >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[4] = (s4 + (1 << 20)) >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + carry[1] = (s1 + (1 << 20)) >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[3] = (s3 + (1 << 20)) >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[5] = (s5 + (1 << 20)) >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[11] = s11 >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + s[0] = byte(s0 >> 0) + s[1] = byte(s0 >> 8) + s[2] = byte((s0 >> 16) | (s1 << 5)) + s[3] = byte(s1 >> 3) + s[4] = byte(s1 >> 11) + s[5] = byte((s1 >> 19) | (s2 << 2)) + s[6] = byte(s2 >> 6) + s[7] = byte((s2 >> 14) | (s3 << 7)) + s[8] = byte(s3 >> 1) + s[9] = byte(s3 >> 9) + s[10] = byte((s3 >> 17) | (s4 << 4)) + s[11] = byte(s4 >> 4) + s[12] = byte(s4 >> 12) + s[13] = byte((s4 >> 20) | (s5 << 1)) + s[14] = byte(s5 >> 7) + s[15] = byte((s5 >> 15) | (s6 << 6)) + s[16] = byte(s6 >> 2) + s[17] = byte(s6 >> 10) + s[18] = byte((s6 >> 18) | (s7 << 3)) + s[19] = byte(s7 >> 5) + s[20] = byte(s7 >> 13) + s[21] = byte(s8 >> 0) + s[22] = byte(s8 >> 8) + s[23] = byte((s8 >> 16) | (s9 << 5)) + s[24] = byte(s9 >> 3) + s[25] = byte(s9 >> 11) + s[26] = byte((s9 >> 19) | (s10 << 2)) + s[27] = byte(s10 >> 6) + s[28] = byte((s10 >> 14) | (s11 << 7)) + s[29] = byte(s11 >> 1) + s[30] = byte(s11 >> 9) + s[31] = byte(s11 >> 17) +} + +// Input: +// s[0]+256*s[1]+...+256^63*s[63] = s +// +// Output: +// s[0]+256*s[1]+...+256^31*s[31] = s mod l +// where l = 2^252 + 27742317777372353535851937790883648493. +func ScReduce(out *[32]byte, s *[64]byte) { + s0 := 2097151 & load3(s[:]) + s1 := 2097151 & (load4(s[2:]) >> 5) + s2 := 2097151 & (load3(s[5:]) >> 2) + s3 := 2097151 & (load4(s[7:]) >> 7) + s4 := 2097151 & (load4(s[10:]) >> 4) + s5 := 2097151 & (load3(s[13:]) >> 1) + s6 := 2097151 & (load4(s[15:]) >> 6) + s7 := 2097151 & (load3(s[18:]) >> 3) + s8 := 2097151 & load3(s[21:]) + s9 := 2097151 & (load4(s[23:]) >> 5) + s10 := 2097151 & (load3(s[26:]) >> 2) + s11 := 2097151 & (load4(s[28:]) >> 7) + s12 := 2097151 & (load4(s[31:]) >> 4) + s13 := 2097151 & (load3(s[34:]) >> 1) + s14 := 2097151 & (load4(s[36:]) >> 6) + s15 := 2097151 & (load3(s[39:]) >> 3) + s16 := 2097151 & load3(s[42:]) + s17 := 2097151 & (load4(s[44:]) >> 5) + s18 := 2097151 & (load3(s[47:]) >> 2) + s19 := 2097151 & (load4(s[49:]) >> 7) + s20 := 2097151 & (load4(s[52:]) >> 4) + s21 := 2097151 & (load3(s[55:]) >> 1) + s22 := 2097151 & (load4(s[57:]) >> 6) + s23 := (load4(s[60:]) >> 3) + + s11 += s23 * 666643 + s12 += s23 * 470296 + s13 += s23 * 654183 + s14 -= s23 * 997805 + s15 += s23 * 136657 + s16 -= s23 * 683901 + s23 = 0 + + s10 += s22 * 666643 + s11 += s22 * 470296 + s12 += s22 * 654183 + s13 -= s22 * 997805 + s14 += s22 * 136657 + s15 -= s22 * 683901 + s22 = 0 + + s9 += s21 * 666643 + s10 += s21 * 470296 + s11 += s21 * 654183 + s12 -= s21 * 997805 + s13 += s21 * 136657 + s14 -= s21 * 683901 + s21 = 0 + + s8 += s20 * 666643 + s9 += s20 * 470296 + s10 += s20 * 654183 + s11 -= s20 * 997805 + s12 += s20 * 136657 + s13 -= s20 * 683901 + s20 = 0 + + s7 += s19 * 666643 + s8 += s19 * 470296 + s9 += s19 * 654183 + s10 -= s19 * 997805 + s11 += s19 * 136657 + s12 -= s19 * 683901 + s19 = 0 + + s6 += s18 * 666643 + s7 += s18 * 470296 + s8 += s18 * 654183 + s9 -= s18 * 997805 + s10 += s18 * 136657 + s11 -= s18 * 683901 + s18 = 0 + + var carry [17]int64 + + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[12] = (s12 + (1 << 20)) >> 21 + s13 += carry[12] + s12 -= carry[12] << 21 + carry[14] = (s14 + (1 << 20)) >> 21 + s15 += carry[14] + s14 -= carry[14] << 21 + carry[16] = (s16 + (1 << 20)) >> 21 + s17 += carry[16] + s16 -= carry[16] << 21 + + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + carry[13] = (s13 + (1 << 20)) >> 21 + s14 += carry[13] + s13 -= carry[13] << 21 + carry[15] = (s15 + (1 << 20)) >> 21 + s16 += carry[15] + s15 -= carry[15] << 21 + + s5 += s17 * 666643 + s6 += s17 * 470296 + s7 += s17 * 654183 + s8 -= s17 * 997805 + s9 += s17 * 136657 + s10 -= s17 * 683901 + s17 = 0 + + s4 += s16 * 666643 + s5 += s16 * 470296 + s6 += s16 * 654183 + s7 -= s16 * 997805 + s8 += s16 * 136657 + s9 -= s16 * 683901 + s16 = 0 + + s3 += s15 * 666643 + s4 += s15 * 470296 + s5 += s15 * 654183 + s6 -= s15 * 997805 + s7 += s15 * 136657 + s8 -= s15 * 683901 + s15 = 0 + + s2 += s14 * 666643 + s3 += s14 * 470296 + s4 += s14 * 654183 + s5 -= s14 * 997805 + s6 += s14 * 136657 + s7 -= s14 * 683901 + s14 = 0 + + s1 += s13 * 666643 + s2 += s13 * 470296 + s3 += s13 * 654183 + s4 -= s13 * 997805 + s5 += s13 * 136657 + s6 -= s13 * 683901 + s13 = 0 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = (s0 + (1 << 20)) >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[2] = (s2 + (1 << 20)) >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[4] = (s4 + (1 << 20)) >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[6] = (s6 + (1 << 20)) >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[8] = (s8 + (1 << 20)) >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[10] = (s10 + (1 << 20)) >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + carry[1] = (s1 + (1 << 20)) >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[3] = (s3 + (1 << 20)) >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[5] = (s5 + (1 << 20)) >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[7] = (s7 + (1 << 20)) >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[9] = (s9 + (1 << 20)) >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[11] = (s11 + (1 << 20)) >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + carry[11] = s11 >> 21 + s12 += carry[11] + s11 -= carry[11] << 21 + + s0 += s12 * 666643 + s1 += s12 * 470296 + s2 += s12 * 654183 + s3 -= s12 * 997805 + s4 += s12 * 136657 + s5 -= s12 * 683901 + s12 = 0 + + carry[0] = s0 >> 21 + s1 += carry[0] + s0 -= carry[0] << 21 + carry[1] = s1 >> 21 + s2 += carry[1] + s1 -= carry[1] << 21 + carry[2] = s2 >> 21 + s3 += carry[2] + s2 -= carry[2] << 21 + carry[3] = s3 >> 21 + s4 += carry[3] + s3 -= carry[3] << 21 + carry[4] = s4 >> 21 + s5 += carry[4] + s4 -= carry[4] << 21 + carry[5] = s5 >> 21 + s6 += carry[5] + s5 -= carry[5] << 21 + carry[6] = s6 >> 21 + s7 += carry[6] + s6 -= carry[6] << 21 + carry[7] = s7 >> 21 + s8 += carry[7] + s7 -= carry[7] << 21 + carry[8] = s8 >> 21 + s9 += carry[8] + s8 -= carry[8] << 21 + carry[9] = s9 >> 21 + s10 += carry[9] + s9 -= carry[9] << 21 + carry[10] = s10 >> 21 + s11 += carry[10] + s10 -= carry[10] << 21 + + out[0] = byte(s0 >> 0) + out[1] = byte(s0 >> 8) + out[2] = byte((s0 >> 16) | (s1 << 5)) + out[3] = byte(s1 >> 3) + out[4] = byte(s1 >> 11) + out[5] = byte((s1 >> 19) | (s2 << 2)) + out[6] = byte(s2 >> 6) + out[7] = byte((s2 >> 14) | (s3 << 7)) + out[8] = byte(s3 >> 1) + out[9] = byte(s3 >> 9) + out[10] = byte((s3 >> 17) | (s4 << 4)) + out[11] = byte(s4 >> 4) + out[12] = byte(s4 >> 12) + out[13] = byte((s4 >> 20) | (s5 << 1)) + out[14] = byte(s5 >> 7) + out[15] = byte((s5 >> 15) | (s6 << 6)) + out[16] = byte(s6 >> 2) + out[17] = byte(s6 >> 10) + out[18] = byte((s6 >> 18) | (s7 << 3)) + out[19] = byte(s7 >> 5) + out[20] = byte(s7 >> 13) + out[21] = byte(s8 >> 0) + out[22] = byte(s8 >> 8) + out[23] = byte((s8 >> 16) | (s9 << 5)) + out[24] = byte(s9 >> 3) + out[25] = byte(s9 >> 11) + out[26] = byte((s9 >> 19) | (s10 << 2)) + out[27] = byte(s10 >> 6) + out[28] = byte((s10 >> 14) | (s11 << 7)) + out[29] = byte(s11 >> 1) + out[30] = byte(s11 >> 9) + out[31] = byte(s11 >> 17) +} + +// order is the order of Curve25519 in little-endian form. +var order = [4]uint64{0x5812631a5cf5d3ed, 0x14def9dea2f79cd6, 0, 0x1000000000000000} + +// ScMinimal returns true if the given scalar is less than the order of the +// curve. +func ScMinimal(scalar *[32]byte) bool { + for i := 3; ; i-- { + v := binary.LittleEndian.Uint64(scalar[i*8:]) + if v > order[i] { + return false + } else if v < order[i] { + break + } else if i == 0 { + return false + } + } + + return true +} diff --git a/crypto/ecc/ed25519/internal/testdata/sign.input.gz b/crypto/ecc/ed25519/internal/testdata/sign.input.gz new file mode 100644 index 0000000000000000000000000000000000000000..41030690c0db39a0279304a46f002a625caa9080 GIT binary patch literal 50330 zcmV*3Kz6?$iwFoTsc=vL19NF-ZZ2tVaCLM5?EPz!AU%?02mX)M0EV~k28PG}moVqp z*D^9gA!nNH)m2%^C^oAyBf`zi0DW8qRPPrlJ!@tDXRK03 zd(%@#94(}Gu8`uIr`;NMD|7S^`}4*y-?mGB@7ZaMnnO!7oDj z{=_oEOn%&|@gzPpt~=gb-~E*LmK(|_?|YtHONlw=)K8l+g!ku9UTcRw-lyL?>Yii2 zb){U-iZP#X%iCv)rTC-5?Z}sL=BXEA5vhDdjGp(ZW#rjbEN3)d z=IMI{cIK>eW@LlecwgcV`#3{+aia3fl2bjghg7gnA9(HzDVNKly|J{Xw9?vhdI;s< zCH;(3)eNZoOLxeVYHgo8M*BAKK$=ivGKig4)4NCp1tCnrG?Ude*J*;uGZe4 zJ$miCJnMO}zD6s(JQ!;s 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the LICENSE file. + +package edwards + +import ( + "fmt" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal/edwards25519" +) + +// Some notes on primitives in Ed25519: +// 1) The integers themselves are stored as 32-byte little endian +// representations. If the store value is a point, the bit in +// the 31st byte, seventh position (b[31]>>7) represents whether +// or not the X value retrieved from the Y value should be +// negative or not. Remember, in affine EC space, the negative +// is P - positiveX. The rest of the 255 bits then represent +// the Y-value in little endian. +// 2) For high effiency, 40 byte field elements (10x int32s) are +// often used to represent integers. +// 3) For further increases in efficiency, the affine (cartesian) +// coordinates are converted into projective (extended or non- +// extended) formats, which include a Z and T or Z value +// respectively. +// 4) Almost *everything* is encoded in little endian, with the +// exception of ECDSA X and Y values of points in affine space. + +// reverse reverses a byte string. +func reverse(s *[32]byte) { + for i, j := 0, len(s)-1; i < j; i, j = i+1, j-1 { + s[i], s[j] = s[j], s[i] + } +} + +// copyBytes copies a byte slice to a 32 byte array. +func copyBytes(aB []byte) *[32]byte { + if aB == nil { + return nil + } + s := new([32]byte) + + // If we have a short byte string, expand + // it so that it's long enough. + aBLen := len(aB) + if aBLen < fieldIntSize { + diff := fieldIntSize - aBLen + for i := 0; i < diff; i++ { + aB = append([]byte{0x00}, aB...) + } + } + + for i := 0; i < fieldIntSize; i++ { + s[i] = aB[i] + } + + return s +} + +// copyBytes64 copies a byte slice to a 64 byte array. +func copyBytes64(aB []byte) *[64]byte { + if aB == nil { + return nil + } + + s := new([64]byte) + + // If we have a short byte string, expand + // it so that it's long enough. + aBLen := len(aB) + if aBLen < 64 { + diff := 64 - aBLen + for i := 0; i < diff; i++ { + aB = append([]byte{0x00}, aB...) + } + } + + for i := 0; i < 64; i++ { + s[i] = aB[i] + } + + return s +} + +// zeroSlice zeroes the memory of a scalar byte slice. +func zeroSlice(s []byte) { + for i := 0; i < PrivScalarSize; i++ { + s[i] = 0x00 + } +} + +// BigIntToEncodedBytes converts a big integer into its corresponding +// 32 byte little endian representation. +func BigIntToEncodedBytes(a *big.Int) *[32]byte { + s := new([32]byte) + if a == nil { + return s + } + // Caveat: a can be longer than 32 bytes. + aB := a.Bytes() + + // If we have a short byte string, expand + // it so that it's long enough. + aBLen := len(aB) + if aBLen < fieldIntSize { + diff := fieldIntSize - aBLen + for i := 0; i < diff; i++ { + aB = append([]byte{0x00}, aB...) + } + } + + for i := 0; i < fieldIntSize; i++ { + s[i] = aB[i] + } + + // Reverse the byte string --> little endian after + // encoding. + reverse(s) + + return s +} + +// BigIntToEncodedBytesNoReverse converts a big integer into its corresponding +// 32 byte big endian representation. +func BigIntToEncodedBytesNoReverse(a *big.Int) *[32]byte { + s := new([32]byte) + if a == nil { + return s + } + // Caveat: a can be longer than 32 bytes. + aB := a.Bytes() + + // If we have a short byte string, expand + // it so that it's long enough. + aBLen := len(aB) + if aBLen < fieldIntSize { + diff := fieldIntSize - aBLen + for i := 0; i < diff; i++ { + aB = append([]byte{0x00}, aB...) + } + } + + for i := 0; i < fieldIntSize; i++ { + s[i] = aB[i] + } + + return s +} + +// BigIntToFieldElement converts a big little endian integer into its corresponding +// 40 byte field representation. +func BigIntToFieldElement(a *big.Int) *edwards25519.FieldElement { + aB := BigIntToEncodedBytes(a) + fe := new(edwards25519.FieldElement) + edwards25519.FeFromBytes(fe, aB) + return fe +} + +// BigIntPointToEncodedBytes converts an affine point to a compressed +// 32 byte integer representation. +func BigIntPointToEncodedBytes(x *big.Int, y *big.Int) *[32]byte { + s := BigIntToEncodedBytes(y) + xB := BigIntToEncodedBytes(x) + xFE := new(edwards25519.FieldElement) + edwards25519.FeFromBytes(xFE, xB) + isNegative := edwards25519.FeIsNegative(xFE) == 1 + + if isNegative { + s[31] |= (1 << 7) + } else { + s[31] &^= (1 << 7) + } + + return s +} + +// EncodedBytesToBigInt converts a 32 byte little endian representation of +// an integer into a big, big endian integer. +func EncodedBytesToBigInt(s *[32]byte) *big.Int { + // Use a copy so we don't screw up our original + // memory. + sCopy := new([32]byte) + for i := 0; i < fieldIntSize; i++ { + sCopy[i] = s[i] + } + reverse(sCopy) + + bi := new(big.Int).SetBytes(sCopy[:]) + + return bi +} + +// EncodedBytesToBigIntNoReverse converts a 32 byte big endian representation of +// an integer into a big little endian integer. +func EncodedBytesToBigIntNoReverse(s *[32]byte) *big.Int { + // Use a copy so we don't screw up our original + // memory. + sCopy := new([32]byte) + for i := 0; i < fieldIntSize; i++ { + sCopy[i] = s[i] + } + + bi := new(big.Int).SetBytes(sCopy[:]) + + return bi +} + +// extendedToBigAffine converts projective x, y, and z field elements into +// affine x and y coordinates, and returns whether or not the x value +// returned is negative. +func (curve *TwistedEdwardsCurve) extendedToBigAffine(xi, yi, + zi *edwards25519.FieldElement) (*big.Int, *big.Int, bool) { + var recip, x, y edwards25519.FieldElement + + // Normalize to Z=1. + edwards25519.FeInvert(&recip, zi) + edwards25519.FeMul(&x, xi, &recip) + edwards25519.FeMul(&y, yi, &recip) + + isNegative := edwards25519.FeIsNegative(&x) == 1 + + return FieldElementToBigInt(&x), FieldElementToBigInt(&y), isNegative +} + +// EncodedBytesToBigIntPoint converts a 32 byte representation of a point +// on the elliptical curve into a big integer point. It returns an error +// if the point does not fall on the curve. +func (curve *TwistedEdwardsCurve) EncodedBytesToBigIntPoint(s *[32]byte) (*big.Int, + *big.Int, error) { + sCopy := new([32]byte) + for i := 0; i < fieldIntSize; i++ { + sCopy[i] = s[i] + } + + xIsNegBytes := sCopy[31]>>7 == 1 + p := new(edwards25519.ExtendedGroupElement) + if !p.FromBytes(sCopy) { + return nil, nil, fmt.Errorf("point not on curve") + } + + // Normalize the X and Y coordinates in affine space. + x, y, isNegative := curve.extendedToBigAffine(&p.X, &p.Y, &p.Z) + + // We got the wrong sign; flip the bit and recalculate. + if xIsNegBytes != isNegative { + x.Sub(curve.P, x) + } + + // This should hopefully never happen, since the + // library itself should never let us create a bad + // point. + if !curve.IsOnCurve(x, y) { + return nil, nil, fmt.Errorf("point not on curve") + } + + return x, y, nil +} + +// EncodedBytesToFieldElement converts a 32 byte little endian integer into +// a field element. +func EncodedBytesToFieldElement(s *[32]byte) *edwards25519.FieldElement { + fe := new(edwards25519.FieldElement) + edwards25519.FeFromBytes(fe, s) + return fe +} + +// FieldElementToBigInt converts a 40 byte field element into a big int. +func FieldElementToBigInt(fe *edwards25519.FieldElement) *big.Int { + s := new([32]byte) + edwards25519.FeToBytes(s, fe) + reverse(s) + + aBI := new(big.Int).SetBytes(s[:]) + + return aBI +} + +// FieldElementToEncodedBytes converts a 40 byte field element into a 32 byte +// little endian integer. +func FieldElementToEncodedBytes(fe *edwards25519.FieldElement) *[32]byte { + s := new([32]byte) + edwards25519.FeToBytes(s, fe) + return s +} + +// invert inverts a big integer over the Ed25519 curve. +func (curve *TwistedEdwardsCurve) invert(a *big.Int) *big.Int { + sub2 := new(big.Int).Sub(curve.P, two) + inv := new(big.Int).Exp(a, sub2, curve.P) + return inv +} diff --git a/crypto/ecc/ed25519/primitives_test.go b/crypto/ecc/ed25519/primitives_test.go new file mode 100644 index 0000000..641572d --- /dev/null +++ b/crypto/ecc/ed25519/primitives_test.go @@ -0,0 +1,325 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "encoding/hex" + "math/rand" + "testing" +) + +type ConversionVector struct { + bIn *[32]byte +} + +func testConversionVectors() []ConversionVector { + r := rand.New(rand.NewSource(12345)) + + numCvs := 50 + cvs := make([]ConversionVector, numCvs) + for i := 0; i < numCvs; i++ { + bIn := new([32]byte) + for j := 0; j < fieldIntSize; j++ { + randByte := r.Intn(255) + bIn[j] = uint8(randByte) + } + + // Zero out the LSB as these aren't points. + bIn[31] = bIn[31] &^ (1 << 7) + cvs[i] = ConversionVector{bIn} + r.Seed(int64(i) + 12345) + } + + return cvs +} + +// Tested functions: +// EncodedBytesToBigInt +// BigIntToFieldElement +// FieldElementToEncodedBytes +// BigIntToEncodedBytes +// FieldElementToBigInt +// EncodedBytesToFieldElement +func TestConversion(t *testing.T) { + encodedNumToStrIdx := 0 + encodedNumToStrSet := []string{ + "20196841024736227335511321252453997055107605473446826399550527392484145048463", + "20196841024736227335511321252453997055107605473446826399550527392484145048463", + "10526890602580671421601776787753907956132695365302107847727458463041939203469", + "6521839184025590514968509670122826212005743637868913183455710032853786234178", + "48978957157431434435050653993003125320003416822462281103290527832248666832657", + "4159895572539518861345595596168006899568383811471075767676415528286478158582", + "22280614820495951172946500829116952499580924613328348188366727171047918265969", + "49395542429090173053338999290059889648703061263880840677281131742908962906754", + "9159517027037241827427101833531648609315728545621074713171647376409899395377", + "30949895254060682142533175644562471377866425306664441151711563845358956591877", + "11162413473643158193091854423259142716620990972042126831718923452075405102564", + "8539948708472331386086579042808849879787158967647310577681201357227483798947", + "1605590018727064783929945877682029132012855793355139251523977584085427681975", + "45186580469309644933913280157111595250915805990139915084274696253685207655424", + "4803736594150189698897342700036388710613749955454777749426524372915807000168", + "44458463093829343203573846112145652781935409966482963464089847457068060406337", + "43847912391518910515232493254376125875677511655948101409582869852756683249277", + "7838340017403777751896157586326692776607242005376544682019613792366399557611", + "53483903297539027073515675168328032221544053033922575353152509791677608228842", + "8446720208822718544735330441575455413785681641890226571046615899626758103790", + "83214700816170153628187353866879750477895001825218114349379185525906520716", + "15672705999053019183342385294509394730658741761319919506483897620686726539506", + "39925989312700298258602067511106679021919080633629833478073970899569606194542", + "20378045921203371758408533697893397422378430466747056625859287444767476844853", + "25451210723231579331405466620138966041750674441314969603476575535540200960212", + "4474627459903707299415556391961882825477222779041974598574989918037047343964", + "7397093240697542343237087158694422274522758581812278851156490860124123245408", + "12019146294352615811784211023130676943046729778098323001557003733075528631035", + "51960422165605964391089845698294985752487643873998092072153023912682573760441", + "886059532692533180504549409050628572719111768379132175843764905063645881609", + "51640155305131076852870025015277596315200278701141279796718402079701293657554", + "14049973075040382983080927609020468526927855121780575811033420970575201823286", + "6162618973699638116596472807859888770132012890154772790007061668938979292597", + "7458672262568376308203102876435523721386473912872218538048930570929817391865", + "21810356119146516412193497200169377227548731550005100866690685032525404754145", + "28637616708304904312050385896309707465663047274451859776085777016997372066588", + "17327933149852898814904118257468106846644459622769679407911385618253547550216", + "54984262956995829168914500499743164709347162376972791975486127610358768165441", + "16921178163410497669407012157415402253995549877675753046924185083722875330991", + "3689950386035551021608562680180812707565873669663865379733533173639772831257", + "16181350900485859830426932463330834642322523155640093886805355615591777762742", + "42262715559264363958874246508050082246174775716593405560693200699826798157179", + "14651886657373545381600338631331004518080502658076702329327433389618735343278", + "82144858215264059972770769209255916986111959236943063998079259610333179230", + "45155784804275518621160673294227510129350899054764902000856476028707365897276", + "14147199139872985334438251734275254607128269954454063598011316959949979253589", + "18900384519591001201319717443640865113984641082677367663236626750932971675075", + "20519255595244475697549353203647543281903992059278171988053755962339471460861", + "5175042515023984125136752466547248097261391591819683691316605910218141159117", + "23859883219144731818639907160556442618096669420651409242145922210614455254846", + } + + encodedBytesToStrIdx := 0 + encodedBytesToStrSet := []string{ + "8f2be510838ccf15d321efde1e209c5835112aa064b80bf0f93db988c501a72c", + "8f2be510838ccf15d321efde1e209c5835112aa064b80bf0f93db988c501a72c", + "8d65ca50205869a4bd3407f14598358b279e06b0f45a70b4d7c701b549024617", + "420de51414065f49d7e2552b38356a4fd6c97d0ad8a36aac2fa5dd26ec3a6b0e", + "113f704d1c8db9af684c992e363fd239c691390075a3c2c255950e6d7b1b496c", + "f64a182ebe40951c6fc401020071c8eaa6db5c51da80a5a9b6d25570de6a3209", + "71e6954c33c78e00301f690f4b8a930e07caf62049d752d85af832558f614231", + "82224d4c02e29b43e269a79fe2daa36b8f1cec2db16d4211c96ffaf1e1e2346d", + "316971a1452b66e4b677240531c75fa9f5aef9b3047c2ac6012aacf0581a4014", + "053bf8a898760258f2819e7c342ae51f4c72d29f84c53476b0561a651a056d44", + "e44d768bbc11fe2abfa92b2fc802d80020ed2b75638386f6011b2921bfb3ad18", + "a31dc5fe9a51bd03e981c8ca11c2efb456f256e7f41f34105be89cc28e70e112", + "b7fa2979d6fad8daddfa14b974c3df7991f68e0a3db0facc1314bdba53bb8c03", + "00e4e3cc2de076558a5d6809345ba28691f47bbfaca5e347e96b8e0dbeb2e663", + "68160b40f48bcc421165a942a738f63fabe76f3936206bdbb9df89368dd19e0a", + "4172e64638f257efb822293392b6b228b1130e2004402f34667cd1932f994a62", + "7dd6f7d87323db2cf8f0b7ac99b09d856dbf84c2fd26f97426f1ce5ff709f160", + "eb8fc35fc213de56785ac799d40815a59c8a9677ba16f914a2bf8e09de575411", + "eaf7493a341506307cc21708a45c605028459e15da1bc0602d9e72bd06d13e76", + "ee620e1b4d158772c26e9a5fb3d47f48db6cc1b525ad562c13bf5a8499acac12", + "8cba3468957c10373423e9107d4934ee9869abf5dad38fa216070bcd0c192f00", + "f2a84c68ade91a7c653554b1feaa415b3b413c6e7c9ef7c9ab4a62e5ee6fa622", + "6ef5384adb9de11334d4f3d0f1daeaecc68133f07659340414363a4f234f4558", + "35892c1beeaf0bcc2a7ebc07e5c1f48be766a71e2b2378ca97a2fdb2b4900d2d", + "d4701a1f0cb47e4219042af6d8cc8301a0a54787c9fbe59a9abf0d92f1df4438", + "5c7bed8ce5e773cadd7999d57c7518f6b6e7390c7a50635a61808df6a48ce409", + "602b95a90734e33b78ea2131a7f9f69c6e9dc0a87aaa89c5f6d2be743d9b5a10", + "fbc201e7c2ec5b99abd3631b5e9766782bf7e56248eb809b841d399c8198921a", + "b987337ab349d5b1341270a9db89ade2ac4967970d71009ab35ecae3868ee072", + "09a52e2fae39ddd3ea0587befa18417184ec841d8c9dd143c64d75afee7df501", + "d2edf8d94e2cc8330f5bd3c6084e464c4552ed00d0441888eced6dcdc84a2b72", + "36ea8f93e03058e6166de376d3b06883ed086c5d8d569977d9a62578c100101f", + "b53505eb70ce7102ed8f0adb74f25c267f8f6329ad953f45bed3110432eb9f0d", + "f912122749bb08f77263b3178b08c721fbe8ab2867bd44947a35a3527a757d10", + "e1d01e019f3f85676f86bba3b9e340ac4061a423740dae161da580a85e393830", + "1c7b017d6fb3fc8a9692a19df97bc24f60a26e06dd740149d8dbcf5a1051503f", + "08b6d739385f18e7dd572ae8e4920e1a7de9a5a0a1bafb618ed86c2e3a434f26", + "416241faabcbc8b415f1c604ef5e558a623db38ab27c18ea192cd3826ffd8f79", + "afe1600ad685008e0fd338f321f62ac9f708f83fb783b7bc2a5abc34250c6925", + "19fe76b3adfb481751760f19f8bd1248099612ae5c03af2b2ad517ad1a702808", + "b6fdb43837702a59431ce6c3f95008a600749d92c57e62cadb8c79ddee51c623", + "7b5d7d17ef878cfbd0c2aaf6f7ed36f06b4a53927373e3444880c5f86cd96f5d", + "aee66bacbea34f086e5d874ddf3bb589e066464e7c1ff155d4da481689ac6420", + "5eed291f384dd85a51e2850ea51599c54c1349504c88396b8e1c26220a7e2e00", + "3cc4ce313fe7598b2eda7e62facd386fb96aa72d4a0ac4e7b0f5f259bb44d563", + "55fb95f4c5af8cc40216460900b1e5cbdf27999b89625556142f6ba5ec07471f", + "c3ddfbd9862ed586afc1bd3ad2f485fdd08502827dbf01db90a5af1a113dc929", + "fd09f92722f3798a7314ba7b8bcc72aed9b36d7e613fe1c5c268349db27c5d2d", + "cd4e6522b33196728a8cba1fca74f57a1740a0ea070ff38e04f0984463f8700b", + "3e3f97667479347342460ad574fd40d53c66eb41ded74b0e8e624ee91f37c034", + } + + for _, vector := range testConversionVectors() { + // Test encoding to FE --> bytes. + feFB := EncodedBytesToFieldElement(vector.bIn) + feTB := FieldElementToEncodedBytes(feFB) + cmp := bytes.Equal(vector.bIn[:], feTB[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Test encoding to big int --> FE --> bytes. + big := EncodedBytesToBigInt(vector.bIn) + fe := BigIntToFieldElement(big) + b := FieldElementToEncodedBytes(fe) + cmp = bytes.Equal(vector.bIn[:], b[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Test encoding to big int --> bytes. + b = BigIntToEncodedBytes(big) + cmp = bytes.Equal(vector.bIn[:], b[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Test encoding FE --> big int --> bytes. + feBig := FieldElementToBigInt(fe) + b = BigIntToEncodedBytes(feBig) + cmp = bytes.Equal(vector.bIn[:], b[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Asert our results. + encodedNumStr := encodedNumToStrSet[encodedNumToStrIdx] + cmp = encodedNumStr == big.String() + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + encodedNumToStrIdx++ + + // Assert our results. + encodedBytesToStr := encodedBytesToStrSet[encodedBytesToStrIdx] + cmp = hex.EncodeToString(vector.bIn[:]) == encodedBytesToStr + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + encodedBytesToStrIdx++ + } +} + +func testPointConversionVectors() []ConversionVector { + r := rand.New(rand.NewSource(54321)) + + numCvs := 50 + cvs := make([]ConversionVector, numCvs) + for i := 0; i < numCvs; i++ { + bIn := new([32]byte) + for j := 0; j < fieldIntSize; j++ { + randByte := r.Intn(255) + bIn[j] = uint8(randByte) + } + + cvs[i] = ConversionVector{bIn} + r.Seed(int64(i) + 54321) + } + + return cvs +} + +// Tested functions: +// BigIntPointToEncodedBytes +// extendedToBigAffine +// EncodedBytesToBigIntPoint +func TestPointConversion(t *testing.T) { + decodedPointsIdx := 0 + decodedPointsSet := []string{ + "36342386295235510298682738805067969701306540594271578388800019131093341795154,12122921476001995645148951048614280991245620197289177635264906062452356396947", + "9867744591134514766234409775134503735789242596068738861666234899385955184391,27007105853956697146464305861539326123893364786296641738920699361975205011161", + "8863951197340269192337376041401902342332353795528772831140932659547447199346,50190604070244738509034813119806333022537897198145851967099673924731480446410", + "8339559836462603978596729027145828226446692064449465621521670593473565702096,17837149456960605255763291219950880141511042645120227896055409047531143166192", + "29728756164057466625373568465365040229184642524788769390912342380714041647917,5732439974478537809704164552372620509962380634847718181010306158958698245522", + "5247803078767242740120044464502520510114546116496825950704226666451120706898,35795758166829409697614900371676186086497347493565110137245013968556439289317", + "10312254716733560945112340752820087022543905959376848337636391802511748824290,8990445345100278755573999342509674697246053177021827054216677883598688530608", + "46187074130971894401027452608625709634897048832286753671143953908951013512232,31044683256411290311212662226177158013678758257007005486276334971220422210155", + "43298306190744565974608750041314720022353418826989995191299464722462576232438,10299806950888062109594010166977096938659134029833804788802662958447110900184", + "35177667294466130792822128181665344626291492152827341114635509442932953019866,30531775028158411079331658342927130455577264409965572072859069219355146042988", + "12820030077079649627381856993531600576978343439982308457445080796710826231022,7757572025084975759300023165620534427770353848949097085637555522219082093193", + "6253646343597756905184377893871320831940235673155211271443761113605327600367,41445277093105850390510771498467355081794651394064157691875599960362497042012", + "7883813891724379909500855090045877805808146475175203491545972088683421931929,9625412936653339950207538235022617556749363084431208115356480470265838149235", + "30472579368937623878795928292319870424238956006962946855422794723907421586575,54614509988478775698488822370961131128905799111181845080982179012590555357105", + "15271018800918349528867796761843695077240549771140699068489160957947655924037,329852685195849268433605954815805257694947917358254381826586710001214418409", + "44743338070477741089168018355702098581358101466058181816723771301716592216675,35086466151837287001694223052259529322710394149012611361861324849922889687785", + "33866163499212710724609220769105485277006407915382983357866153206133156045778,23813080868237246772939037708015963565770032179485293012321274959431634191070", + "5348533591149396191276147118693530904680789144057002981668376686342174347878,35905097699069976581306974641271357218166789408723537731985392719990711862278", + "40315256029575331481422442140599294662819295345876862444982990842463168911950,16360806665429931881693966663841946038395457300165162458665310950478612690181", + "33052698717932927149892248178127960767761537730607492185123959981890223827545,21070297496372888725360520588353008051332970094494783807974486544208068132161", + "6067545198628916284979302752626014258394465463054351058202959902440244027330,21720867950501615598443412609276369354182820943208835740764942235573960133995", + "53831317569733935553511538902125979694724978323896080664568625466675599453432,45539408436069992094954340278746828493900701575877952467788933528780603307924", + "19525710214064978105626553978754569373727482210041238185590766077238636555711,15855546109268858062231319627174169988469689010275059374409951265691262712273", + "11088014282687820959360741441437463809117498610356719851510129751795115755562,15494069385862047111068018000831027592461304482419340631336168046873859407559", + "3780609302167966527808115014787075050391511873602293238860225507873910096878,40571044426480029736683329118811835506584488408510318455853674070731785488148", + } + + encodedPointsIdx := 0 + encodedPointsSet := []string{ + "93b705486da83fd0e864654923104b3f13e5030c198599961b40e7079554cd1a", + "d99e220f3d1f5eb5c04e42ddbee8ae2d0037e75493946a763fe02675ef7ab5bb", + "ca154ac6139ad2cae9ec879d94372e5af7821babe4ad7a5c22cd9d3d0de0f66e", + "f0f885df3d8798d555f068de9df55ddf7a27f58f0d336dfd61e1cfc304786f27", + "922d0b01767d878b154c84e01094494e07f3da6ab9bba387679b291e3072ac8c", + "e5bdeac8692566ac8a6cf96e13770ade7d6bf5667993ae552697f69b5fae234f", + "b0b004306bc71b81a8f5293294dd215dbe671b3ccc2f65aeec55f3b66769e013", + "6bb2ceb3d6d898efb79b74150c7a9543d409135c9035ee14ef87e8ce04aba244", + "d8c9ab6c8793e53e075a8f138d36a78e20ac045a7138b0af41bf67eef07bc516", + "6cbe9bd0c6856a79551a961bdfa6ea72be67dbbb808b832138ec2c424d5f8043", + "89922d4d6e62a2e8cab805be279c92269ac652c587d7f9de0430ceb252a12611", + "5c669fa7f42df778231772ad6e8ab8be5de2e329c8a186b280935f1b0f32a1db", + "739e5b71592ecec6d2d5f8fcefd9303bd2645f80a7c242a93a91e7ac68ca4795", + "b1dff78ebe5d0ff5f88e4245276e4d3fe038ef9855e440b9c04e13a99bb7bef8", + "e9ed5513b18f1c2c905ec6bab764eb8226223dd443799cf429e16516a4b0ba80", + "e9221bf1a64bf2fe52784c86ae51ad4e28448f42584a7a87cc3d1490703c92cd", + "de021753b8b47f50e2418718c094e189a05bf7711297f1b1c8749a3be4b9a534", + "064437ea0355acebb6d3f2129dd6a8fa826b5ce92b9dbd2e02aba443ac90614f", + "0575769b2c4afb22b3ed5af6142163d1c4289a6d86a5c07caf4ede226fe32b24", + "41bd4469274c4545b3e2161e9e101333e9aa45bbc2a31fea0e311fb4a25d95ae", + "6b4d91a03c7fb93f64a9db518cef7a0c0f7cc164acc2d123e6ddb0005a930530", + "94b726790c79d5dea2e759c070aa7ca521fc7663f51736d2412487b24a64ae64", + "d1f93eaec626854144cdf80abe20facfad72a11159aebce2b4a49482cbeb0da3", + "c73ea149472644acbdfc18b99e6e9ac215fdea556581b183a2bbf4a61e554122", + "14c723f67789d320bfcccc0ff2bc8495b57b1d359d5b493aaf22df43bb65b259", + } + + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + for _, vector := range testPointConversionVectors() { + x, y, err := curve.EncodedBytesToBigIntPoint(vector.bIn) + // The random point wasn't on the curve. + if err != nil { + continue + } + + yB := BigIntPointToEncodedBytes(x, y) + cmp := bytes.Equal(vector.bIn[:], yB[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Assert our results. + var buffer bytes.Buffer + buffer.WriteString(x.String()) + buffer.WriteString(",") + buffer.WriteString(y.String()) + localStr := buffer.String() + decodedPoint := decodedPointsSet[decodedPointsIdx] + cmp = localStr == decodedPoint + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + decodedPointsIdx++ + + // Assert our results. + encodedPoint := encodedPointsSet[encodedPointsIdx] + cmp = hex.EncodeToString(vector.bIn[:]) == encodedPoint + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + encodedPointsIdx++ + } +} diff --git a/crypto/ecc/ed25519/privkey.go b/crypto/ecc/ed25519/privkey.go new file mode 100644 index 0000000..95db07f --- /dev/null +++ b/crypto/ecc/ed25519/privkey.go @@ -0,0 +1,207 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "crypto/ecdsa" + "crypto/rand" + "crypto/sha512" + "fmt" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/ed25519/internal" +) + +// These constants define the lengths of serialized private keys. +const ( + PrivScalarSize = 32 + PrivKeyBytesLen = 64 +) + +// PrivateKey wraps an ecdsa.PrivateKey as a convenience mainly for signing +// things with the the private key without having to directly import the ecdsa +// package. +type PrivateKey struct { + ecPk *ecdsa.PrivateKey + secret *[32]byte +} + +// NewPrivateKey instantiates a new private key from a scalar encoded as a +// big integer. +func NewPrivateKey(curve *TwistedEdwardsCurve, d *big.Int) *PrivateKey { + dArray := BigIntToEncodedBytes(d) + priv, _ := PrivKeyFromSecret(curve, dArray[:]) + return priv +} + +// GeneratePrivateKey is a wrapper for ecdsa.GenerateKey that returns a +// PrivateKey instead of the normal ecdsa.PrivateKey. +func GeneratePrivateKey(curve *TwistedEdwardsCurve) (*PrivateKey, error) { + key, err := ecdsa.GenerateKey(curve, rand.Reader) + if err != nil { + return nil, err + } + + pk := new(PrivateKey) + pk.ecPk = key + + return pk, nil +} + +// computeScalar obtains a private scalar from a private key. +func computeScalar(privateKey *[PrivKeyBytesLen]byte) *[PrivScalarSize]byte { + h := sha512.New() + h.Write(privateKey[:32]) + digest := h.Sum(nil) + + digest[0] &= 248 // Make a multiple of 8 + digest[31] &= 127 // Zero the first bit of this byte + digest[31] |= 64 // Enable the seventh bit + + var hBytes [PrivScalarSize]byte + copy(hBytes[:], digest) + + return &hBytes +} + +// PrivKeyFromBytes returns a private and public key for `curve' based on the +// private key passed as an argument as a byte slice. +func PrivKeyFromBytes(curve *TwistedEdwardsCurve, + pkBytes []byte) (*PrivateKey, *PublicKey) { + if len(pkBytes) != PrivKeyBytesLen { + return nil, nil + } + pk := copyBytes64(pkBytes) + + // The ed25519 library does a weird thing where it generates a + // private key 64 bytes long, and stores the private scalar in + // the first 32 bytes and the public key in the last 32 bytes. + // So, make sure we only grab the actual scalar we care about. + privKeyBytes := pk[0:32] + pubKeyBytes := pk[32:64] + pubKey, err := ParsePubKey(curve, pubKeyBytes) + if err != nil { + return nil, nil + } + + priv := &ecdsa.PrivateKey{ + PublicKey: *pubKey.ToECDSA(), + D: new(big.Int).SetBytes(computeScalar(pk)[:]), + } + privEd := new(PrivateKey) + privEd.ecPk = priv + privEd.secret = copyBytes(privKeyBytes) + + return privEd, (*PublicKey)(&priv.PublicKey) +} + +// PrivKeyFromSecret returns a private and public key for `curve' based on the +// 32-byte private key secret passed as an argument as a byte slice. +func PrivKeyFromSecret(curve *TwistedEdwardsCurve, s []byte) (*PrivateKey, + *PublicKey) { + if len(s) != PrivKeyBytesLen/2 { + return nil, nil + } + + // Instead of using rand to generate our scalar, use the scalar + // itself as a reader. + sReader := bytes.NewReader(s) + _, pk, err := ed25519.GenerateKey(sReader) + if err != nil { + return nil, nil + } + + return PrivKeyFromBytes(curve, pk[:]) +} + +// PrivKeyFromScalar returns a private and public key for `curve' based on the +// 32-byte private scalar passed as an argument as a byte slice (encoded big +// endian int). +func PrivKeyFromScalar(curve *TwistedEdwardsCurve, p []byte) (*PrivateKey, + *PublicKey, error) { + if len(p) != PrivScalarSize { + return nil, nil, fmt.Errorf("bad private scalar size") + } + + pk := new(PrivateKey) + pk.ecPk = new(ecdsa.PrivateKey) + pk.ecPk.D = new(big.Int).SetBytes(p) + + // The scalar must be in the subgroup. + if pk.ecPk.D.Cmp(curve.N) > 0 { + return nil, nil, fmt.Errorf("not on subgroup (>N)") + } + + // The scalar must not be zero or negative. + if pk.ecPk.D.Cmp(zero) <= 0 { + return nil, nil, fmt.Errorf("zero or negative scalar") + } + + pk.ecPk.Curve = curve + pk.ecPk.PublicKey.X, pk.ecPk.PublicKey.Y = + curve.ScalarBaseMult(pk.GetD().Bytes()) + + if pk.ecPk.PublicKey.X == nil || pk.ecPk.PublicKey.Y == nil { + return nil, nil, fmt.Errorf("scalarbase mult failure to get pubkey") + } + pub := PublicKey(pk.ecPk.PublicKey) + + return pk, &pub, nil +} + +// Public returns the PublicKey corresponding to this private key. +func (p PrivateKey) Public() (*big.Int, *big.Int) { + return p.ecPk.PublicKey.X, p.ecPk.PublicKey.Y +} + +// PubKey returns the PublicKey corresponding to this private key. +func (p *PrivateKey) PubKey() *PublicKey { + return (*PublicKey)(&p.ecPk.PublicKey) +} + +// ToECDSA returns the private key as a *ecdsa.PrivateKey. +func (p PrivateKey) ToECDSA() *ecdsa.PrivateKey { + return p.ecPk +} + +// Serialize returns the private key as a 32 byte big endian number. +func (p PrivateKey) Serialize() []byte { + if p.ecPk.D == nil || + p.ecPk.PublicKey.X == nil || + p.ecPk.PublicKey.Y == nil { + return nil + } + privateScalar := copyBytes(p.ecPk.D.Bytes()) + + return privateScalar[:] +} + +// SerializeSecret returns the 32 byte secret along with its public key as 64 +// bytes. +func (p PrivateKey) SerializeSecret() []byte { + if p.secret == nil { + return nil + } + + // This is little endian. + pubX, pubY := p.Public() + spk := BigIntPointToEncodedBytes(pubX, pubY) + + all := append(p.secret[:], spk[:]...) + + return all +} + +// GetD satisfies the chainec PrivateKey interface. +func (p PrivateKey) GetD() *big.Int { + return p.ecPk.D +} + +// GetType satisfies the chainec PrivateKey interface. +func (p PrivateKey) GetType() int { + return ecTypeEdwards +} diff --git a/crypto/ecc/ed25519/pubkey.go b/crypto/ecc/ed25519/pubkey.go new file mode 100644 index 0000000..050f1b0 --- /dev/null +++ b/crypto/ecc/ed25519/pubkey.go @@ -0,0 +1,97 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "crypto/ecdsa" + "errors" + "fmt" + "math/big" +) + +// These constants define the lengths of serialized public keys. +const ( + PubKeyBytesLen = 32 +) + +// PublicKey is an ecdsa.PublicKey with an additional function to +// serialize. +type PublicKey ecdsa.PublicKey + +// NewPublicKey instantiates a new public key. +func NewPublicKey(curve *TwistedEdwardsCurve, x *big.Int, y *big.Int) *PublicKey { + return &PublicKey{curve, x, y} +} + +// ParsePubKey parses a public key for an edwards curve from a bytestring into a +// ecdsa.Publickey, verifying that it is valid. +func ParsePubKey(curve *TwistedEdwardsCurve, pubKeyStr []byte) (key *PublicKey, + err error) { + pubkey := PublicKey{} + pubkey.Curve = curve + x, y, err := curve.EncodedBytesToBigIntPoint(copyBytes(pubKeyStr)) + if err != nil { + return nil, err + } + pubkey.X = x + pubkey.Y = y + + if len(pubKeyStr) == 0 { + return nil, errors.New("pubkey string is empty") + } + if pubkey.X.Cmp(pubkey.Curve.Params().P) >= 0 { + return nil, fmt.Errorf("pubkey X parameter is >= to P") + } + if pubkey.Y.Cmp(pubkey.Curve.Params().P) >= 0 { + return nil, fmt.Errorf("pubkey Y parameter is >= to P") + } + + return &pubkey, nil +} + +// ToECDSA returns the public key as a *ecdsa.PublicKey. +func (p PublicKey) ToECDSA() *ecdsa.PublicKey { + pkecdsa := ecdsa.PublicKey(p) + return &pkecdsa +} + +// Serialize serializes a public key in a 32-byte compressed little endian format. +func (p PublicKey) Serialize() []byte { + if p.X == nil || p.Y == nil { + return nil + } + return BigIntPointToEncodedBytes(p.X, p.Y)[:] +} + +// SerializeUncompressed satisfies the chainec PublicKey interface. +func (p PublicKey) SerializeUncompressed() []byte { + return p.Serialize() +} + +// SerializeCompressed satisfies the chainec PublicKey interface. +func (p PublicKey) SerializeCompressed() []byte { + return p.Serialize() +} + +// GetCurve satisfies the chainec PublicKey interface. +func (p PublicKey) GetCurve() interface{} { + return p.Curve +} + +// GetX satisfies the chainec PublicKey interface. +func (p PublicKey) GetX() *big.Int { + return p.X +} + +// GetY satisfies the chainec PublicKey interface. +func (p PublicKey) GetY() *big.Int { + return p.Y +} + +// GetType satisfies the chainec PublicKey interface. +func (p PublicKey) GetType() int { + return ecTypeEdwards +} diff --git a/crypto/ecc/ed25519/signature.go b/crypto/ecc/ed25519/signature.go new file mode 100644 index 0000000..ce253ec --- /dev/null +++ b/crypto/ecc/ed25519/signature.go @@ -0,0 +1,108 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "fmt" + "math/big" +) + +// Signature is a type representing an ecdsa signature. +type Signature struct { + R *big.Int + S *big.Int +} + +// SignatureSize is the size of an encoded ECDSA signature. +const SignatureSize = 64 + +// NewSignature instantiates a new signature given some R,S values. +func NewSignature(r, s *big.Int) *Signature { + return &Signature{r, s} +} + +// Serialize returns the ECDSA signature in the more strict format. +// +// The signatures are encoded as +// sig[0:32] R, a point encoded as little endian +// sig[32:64] S, scalar multiplication/addition results = (ab+c) mod l +// encoded also as little endian +func (sig Signature) Serialize() []byte { + rBytes := BigIntToEncodedBytes(sig.R) + sBytes := BigIntToEncodedBytes(sig.S) + + all := append(rBytes[:], sBytes[:]...) + + return all +} + +// parseSig is the default method of parsing a serialized Ed25519 signature. +func parseSig(curve *TwistedEdwardsCurve, sigStr []byte, der bool) (*Signature, + error) { + if der { + return nil, fmt.Errorf("DER signatures not allowed in ed25519") + } + + if len(sigStr) != SignatureSize { + return nil, fmt.Errorf("bad signature size; have %v, want %v", + len(sigStr), SignatureSize) + } + + rBytes := copyBytes(sigStr[0:32]) + r := EncodedBytesToBigInt(rBytes) + // r is a point on the curve as well. Evaluate it and make sure it's + // a valid point. + _, _, err := curve.EncodedBytesToBigIntPoint(rBytes) + if err != nil { + return nil, err + } + + sBytes := copyBytes(sigStr[32:64]) + s := EncodedBytesToBigInt(sBytes) + // s may not be zero or >= curve.N. + if s.Cmp(curve.N) >= 0 || s.Cmp(zero) == 0 { + return nil, fmt.Errorf("s scalar is empty or larger than the order of " + + "the curve") + } + + return &Signature{r, s}, nil +} + +// ParseSignature parses a signature in BER format for the curve type `curve' +// into a Signature type, perfoming some basic sanity checks. +func ParseSignature(curve *TwistedEdwardsCurve, sigStr []byte) (*Signature, + error) { + return parseSig(curve, sigStr, false) +} + +// ParseDERSignature offers a legacy function to parse a signature in DER format. +func ParseDERSignature(curve *TwistedEdwardsCurve, sigStr []byte) (*Signature, + error) { + return parseSig(curve, sigStr, false) +} + +// RecoverCompact uses a signature and a hash to recover is private +// key, is not yet implemented. +// TODO: Implement. +func RecoverCompact(signature, hash []byte) (*PublicKey, bool, error) { + // TODO One day reimplement this? cj + return nil, false, nil +} + +// GetR satisfies the chainec Signature interface. +func (sig Signature) GetR() *big.Int { + return sig.R +} + +// GetS satisfies the chainec Signature interface. +func (sig Signature) GetS() *big.Int { + return sig.S +} + +// GetType satisfies the chainec Signature interface. +func (sig Signature) GetType() int { + return ecTypeEdwards +} diff --git a/crypto/ecc/ed25519/testdata/addpoints.py b/crypto/ecc/ed25519/testdata/addpoints.py new file mode 100644 index 0000000..220e522 --- /dev/null +++ b/crypto/ecc/ed25519/testdata/addpoints.py @@ -0,0 +1,11 @@ +import sys +from ed25519 import * + +s1 = sys.argv[1].decode("hex") +P1 = decodepoint(s1) + +s2 = sys.argv[2].decode("hex") +P2 = decodepoint(s2) + +P = edwards(P1, P2) +encodepointhex(P) diff --git a/crypto/ecc/ed25519/testdata/decodeint.py b/crypto/ecc/ed25519/testdata/decodeint.py new file mode 100644 index 0000000..9cbab1c --- /dev/null +++ b/crypto/ecc/ed25519/testdata/decodeint.py @@ -0,0 +1,4 @@ +import sys +from ed25519 import * + +decodeinthex(sys.argv[1]) diff --git a/crypto/ecc/ed25519/testdata/decodepoint.py b/crypto/ecc/ed25519/testdata/decodepoint.py new file mode 100644 index 0000000..1941fb6 --- /dev/null +++ b/crypto/ecc/ed25519/testdata/decodepoint.py @@ -0,0 +1,5 @@ +import sys +from ed25519 import * + +decodepointhex(sys.argv[1]) + diff --git a/crypto/ecc/ed25519/testdata/ed25519.py b/crypto/ecc/ed25519/testdata/ed25519.py new file mode 100644 index 0000000..cbf873c --- /dev/null +++ b/crypto/ecc/ed25519/testdata/ed25519.py @@ -0,0 +1,121 @@ +import hashlib + +b = 256 +q = 2**255 - 19 +l = 2**252 + 27742317777372353535851937790883648493 + +def H(m): + return hashlib.sha512(m).digest() + +def expmod(b,e,m): + if e == 0: return 1 + t = expmod(b,e/2,m)**2 % m + if e & 1: t = (t*b) % m + return t + +def inv(x): + return expmod(x,q-2,q) + +d = -121665 * inv(121666) +I = expmod(2,(q-1)/4,q) + +def xrecover(y): + xx = (y*y-1) * inv(d*y*y+1) + x = expmod(xx,(q+3)/8,q) + if (x*x - xx) % q != 0: x = (x*I) % q + if x % 2 != 0: x = q-x + return x + +By = 4 * inv(5) +Bx = xrecover(By) +B = [Bx % q,By % q] + +def edwards(P,Q): + x1 = P[0] + y1 = P[1] + x2 = Q[0] + y2 = Q[1] + x3 = (x1*y2+x2*y1) * inv(1+d*x1*x2*y1*y2) + y3 = (y1*y2+x1*x2) * inv(1-d*x1*x2*y1*y2) + return [x3 % q,y3 % q] + +def scalarmult(P,e): + if e == 0: return [0,1] + Q = scalarmult(P,e/2) + Q = edwards(Q,Q) + if e & 1: Q = edwards(Q,P) + return Q + +def encodeint(y): + bits = [(y >> i) & 1 for i in range(b)] + return ''.join([chr(sum([bits[i * 8 + j] << j for j in range(8)])) for i in range(b/8)]) + +def encodeinthex(y): + encoded = encodeint(y) + print "".join("{:02x}".format(ord(c)) for c in encoded) + +def encodepoint(P): + x = P[0] + y = P[1] + bits = [(y >> i) & 1 for i in range(b - 1)] + [x & 1] + return ''.join([chr(sum([bits[i * 8 + j] << j for j in range(8)])) for i in range(b/8)]) + +def encodepointhex(P): + encoded = encodepoint(P) + print "".join("{:02x}".format(ord(c)) for c in encoded) + +def bit(h,i): + return (ord(h[i/8]) >> (i%8)) & 1 + +def publickey(sk): + h = H(sk) + a = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2)) + A = scalarmult(B,a) + return encodepoint(A) + +def Hint(m): + h = H(m) + return sum(2**i * bit(h,i) for i in range(2*b)) + +def signature(m,sk,pk): + h = H(sk) + a = 2**(b-2) + sum(2**i * bit(h,i) for i in range(3,b-2)) + r = Hint(''.join([h[i] for i in range(b/8,b/4)]) + m) + R = scalarmult(B,r) + S = (r + Hint(encodepoint(R) + pk + m) * a) % l + return encodepoint(R) + encodeint(S) + +def isoncurve(P): + x = P[0] + y = P[1] + return (-x*x + y*y - 1 - d*x*x*y*y) % q == 0 + +def decodeint(s): + return sum(2**i * bit(s,i) for i in range(0,b)) + +def decodeinthex(sH): + s = sH.decode("hex") + print decodeint(s) + +def decodepoint(s): + y = sum(2**i * bit(s,i) for i in range(0,b-1)) + x = xrecover(y) + if x & 1 != bit(s,b-1): x = q-x + P = [x,y] + if not isoncurve(P): raise Exception("decoding point that is not on curve") + return P + +def decodepointhex(sH): + s = sH.decode("hex") + P = decodepoint(s) + print str(P[0]) + ',' + str(P[1]) + +def checkvalid(s,m,pk): + if len(s) != b/4: raise Exception("signature length is wrong") + if len(pk) != b/8: raise Exception("public-key length is wrong") + R = decodepoint(s[0:b/8]) + A = decodepoint(pk) + S = decodeint(s[b/8:b/4]) + h = Hint(encodepoint(R) + pk + m) + if scalarmult(B,S) != edwards(R,scalarmult(A,h)): + raise Exception("signature does not pass verification") diff --git a/crypto/ecc/ed25519/testdata/encodeint.py b/crypto/ecc/ed25519/testdata/encodeint.py new file mode 100644 index 0000000..b9d4a13 --- /dev/null +++ b/crypto/ecc/ed25519/testdata/encodeint.py @@ -0,0 +1,4 @@ +import sys +from ed25519 import * + +encodeinthex(int(sys.argv[1])) diff --git a/crypto/ecc/ed25519/testdata/encodepoint.py b/crypto/ecc/ed25519/testdata/encodepoint.py new file mode 100644 index 0000000..fe9c2d7 --- /dev/null +++ b/crypto/ecc/ed25519/testdata/encodepoint.py @@ -0,0 +1,9 @@ +import sys +from ed25519 import * + +P = [] +x = int(sys.argv[1]) +P.append(x) +y = int(sys.argv[2]) +P.append(y) +encodepointhex(P) diff --git a/crypto/ecc/ed25519/testdata/genscalarmult.py b/crypto/ecc/ed25519/testdata/genscalarmult.py new file mode 100644 index 0000000..20a5685 --- /dev/null +++ b/crypto/ecc/ed25519/testdata/genscalarmult.py @@ -0,0 +1,35 @@ +import os +from ed25519 import * + +f = open("scalarmulttests.dat",'w') + +numTests = 50 +for i in range(0,numTests): + rand_string = os.urandom(32) + try: + p = decodepoint(rand_string) + except: + continue + rand_string = os.urandom(32) + s = decodeint(rand_string) + + mult = scalarmult(p, s) + + f.write("ScalarMultVectorHex{") + # Point to multiply + f.write('\"') + f.write("".join("{:02x}".format(ord(c)) for c in encodepoint(p))) + f.write('\"') + f.write(',') + # Scalar to multiply by + f.write('\"') + f.write("".join("{:02x}".format(ord(c)) for c in encodeint(s))) + f.write('\"') + f.write(',') + # Resulting point + f.write('\"') + f.write("".join("{:02x}".format(ord(c)) for c in encodepoint(mult))) + f.write('\"') + f.write('},\n') + +f.close() diff --git a/crypto/ecc/ed25519/testdata/sign.input.gz b/crypto/ecc/ed25519/testdata/sign.input.gz new file mode 100644 index 0000000000000000000000000000000000000000..24f86649d6f36bc27f1bb0afdc660e6fa4a8b649 GIT binary patch literal 784207 zcmWiegF~Hd7{*U0FW0h8_OgxTmTeo$?qn}5TWh&aT0XhuE!(zT-@ZTLecl_t`?@aj zSR^F!s6I^qtedU1(PvDAoOZLGLf% zb#?i1Wu$ZUK7W0p!uh`TdlhBnT#TdYRc|d(%Y-y9=Sk$IlJ7E6rQh3qmFwf!$VJbp zFNOSV{Lgh-YjQ{0b|W}O^yqf=dfxF}Be+Ix zsS?TOJ5%4=V!FzE?Yuo1bI!Z1vEIjAe$JUtN8C=*LUFsQ_}bL4cKK}r(QuDCVQHPW zBYXZ^baVxGM|V)5m_j$zIOZS;@5#%=to{d7W1Zc(9C>uk>KU!y^=TI?6Z$P#YQ7U& 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zfgqiF5(6``GmMoI{}8p1fY{~x2ZH;)pS8BoIG6o2Z-?h0AH)JYXATM literal 0 HcmV?d00001 diff --git a/crypto/ecc/ed25519/threshold.go b/crypto/ecc/ed25519/threshold.go new file mode 100644 index 0000000..94087f0 --- /dev/null +++ b/crypto/ecc/ed25519/threshold.go @@ -0,0 +1,250 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "fmt" + "math/big" +) + +// Sha512VersionStringRFC6979 is the RFC6979 nonce version for a Schnorr signature +// over the Curve25519 curve using BLAKE256 as the hash function. +var Sha512VersionStringRFC6979 = []byte("Edwards+SHA512 ") + +// CombinePubkeys combines a slice of public keys into a single public key +// by adding them together with point addition. +func CombinePubkeys(curve *TwistedEdwardsCurve, + pks []*PublicKey) *PublicKey { + numPubKeys := len(pks) + + // Have to have at least two pubkeys. + if numPubKeys < 1 { + return nil + } + if numPubKeys == 1 { + return pks[0] + } + if pks == nil { + return nil + } + if pks[0] == nil || pks[1] == nil { + return nil + } + + var pkSumX *big.Int + var pkSumY *big.Int + + pkSumX, pkSumY = curve.Add(pks[0].GetX(), pks[0].GetY(), + pks[1].GetX(), pks[1].GetY()) + + if numPubKeys > 2 { + for i := 2; i < numPubKeys; i++ { + pkSumX, pkSumY = curve.Add(pkSumX, pkSumY, + pks[i].GetX(), pks[i].GetY()) + } + } + + if !curve.IsOnCurve(pkSumX, pkSumY) { + return nil + } + + return NewPublicKey(curve, pkSumX, pkSumY) +} + +// generateNoncePair deterministically generate a nonce pair for use in +// partial signing of a message. Returns a public key (nonce to dissemanate) +// and a private nonce to keep as a secret for the signer. +func generateNoncePair(curve *TwistedEdwardsCurve, msg []byte, priv []byte, + nonceFunction func(*TwistedEdwardsCurve, []byte, []byte, []byte, + []byte) []byte, extra []byte, version []byte) ([]byte, *PublicKey, error) { + k := nonceFunction(curve, priv, msg, extra, version) + bigK := new(big.Int).SetBytes(k) + bigK.Mod(bigK, curve.N) + + // k scalar sanity checks. + if bigK.Cmp(zero) == 0 { + return nil, nil, fmt.Errorf("k scalar is zero") + } + if bigK.Cmp(curve.N) >= 0 { + return nil, nil, fmt.Errorf("k scalar is >= curve.N") + } + bigK.SetInt64(0) + + pubx, puby := curve.ScalarBaseMult(k) + pubnonce := NewPublicKey(curve, pubx, puby) + + return k, pubnonce, nil +} + +// GenerateNoncePair is the generalized and exported version of generateNoncePair. +func GenerateNoncePair(curve *TwistedEdwardsCurve, msg []byte, + privkey *PrivateKey, extra []byte, + version []byte) (*PrivateKey, *PublicKey, error) { + priv, pubNonce, err := generateNoncePair(curve, msg, privkey.Serialize(), + nonceRFC6979, extra, version) + if err != nil { + return nil, nil, err + } + + privNonce := NewPrivateKey(curve, + EncodedBytesToBigIntNoReverse(copyBytes(priv))) + return privNonce, pubNonce, nil +} + +// schnorrPartialSign creates a partial Schnorr signature which may be combined +// with other Schnorr signatures to create a valid signature for a group pubkey. +func schnorrPartialSign(curve *TwistedEdwardsCurve, msg []byte, priv []byte, + groupPublicKey []byte, privNonce []byte, pubNonceSum []byte) (*big.Int, + *big.Int, error) { + // Sanity checks. + if len(msg) != PrivScalarSize { + str := fmt.Sprintf("wrong size for message (got %v, want %v)", + len(msg), PrivScalarSize) + return nil, nil, fmt.Errorf("%v", str) + } + if len(priv) != PrivScalarSize { + str := fmt.Sprintf("wrong size for privkey (got %v, want %v)", + len(priv), PrivScalarSize) + return nil, nil, fmt.Errorf("%v", str) + } + if len(privNonce) != PrivScalarSize { + str := fmt.Sprintf("wrong size for privnonce (got %v, want %v)", + len(privNonce), PrivScalarSize) + return nil, nil, fmt.Errorf("%v", str) + } + if len(groupPublicKey) != PubKeyBytesLen { + str := fmt.Sprintf("wrong size for group public key (got %v, want %v)", + len(privNonce), PubKeyBytesLen) + return nil, nil, fmt.Errorf("%v", str) + } + if len(pubNonceSum) != PubKeyBytesLen { + str := fmt.Sprintf("wrong size for group nonce public key (got %v, "+ + "want %v)", + len(privNonce), PubKeyBytesLen) + return nil, nil, fmt.Errorf("%v", str) + } + + privBig := new(big.Int).SetBytes(priv) + if privBig.Cmp(zero) == 0 { + str := fmt.Sprintf("priv scalar is zero") + return nil, nil, fmt.Errorf("%v", str) + } + if privBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("priv scalar is out of bounds") + return nil, nil, fmt.Errorf("%v", str) + } + privBig.SetInt64(0) + + privNonceBig := new(big.Int).SetBytes(privNonce) + if privNonceBig.Cmp(zero) == 0 { + str := fmt.Sprintf("privNonce scalar is zero") + return nil, nil, fmt.Errorf("%v", str) + } + if privNonceBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("privNonce scalar is out of bounds") + return nil, nil, fmt.Errorf("%v", str) + } + privNonceBig.SetInt64(0) + + gpkX, gpkY, err := curve.EncodedBytesToBigIntPoint(copyBytes(groupPublicKey)) + if err != nil { + str := fmt.Sprintf("public key point could not be decoded") + return nil, nil, fmt.Errorf("%v", str) + } + if !curve.IsOnCurve(gpkX, gpkY) { + str := fmt.Sprintf("public key sum is off curve") + return nil, nil, fmt.Errorf("%v", str) + } + + gpnX, gpnY, err := curve.EncodedBytesToBigIntPoint(copyBytes(pubNonceSum)) + if err != nil { + str := fmt.Sprintf("public key point could not be decoded") + return nil, nil, fmt.Errorf("%v", str) + } + if !curve.IsOnCurve(gpnX, gpnY) { + str := fmt.Sprintf("public key sum is off curve") + return nil, nil, fmt.Errorf("%v", str) + } + + privDecoded, _, _ := PrivKeyFromScalar(curve, priv) + groupPubKeyDecoded, _ := ParsePubKey(curve, groupPublicKey) + privNonceDecoded, _, _ := PrivKeyFromScalar(curve, privNonce) + pubNonceSumDecoded, _ := ParsePubKey(curve, pubNonceSum) + + return SignThreshold(curve, privDecoded, groupPubKeyDecoded, msg, + privNonceDecoded, pubNonceSumDecoded) +} + +// SchnorrPartialSign is the generalized and exported version of +// schnorrPartialSign. +func SchnorrPartialSign(curve *TwistedEdwardsCurve, msg []byte, + priv *PrivateKey, groupPub *PublicKey, privNonce *PrivateKey, + pubSum *PublicKey) (*big.Int, *big.Int, error) { + privBytes := priv.Serialize() + defer zeroSlice(privBytes) + privNonceBytes := privNonce.Serialize() + defer zeroSlice(privNonceBytes) + + return schnorrPartialSign(curve, msg, privBytes, groupPub.Serialize(), + privNonceBytes, pubSum.Serialize()) +} + +// schnorrCombineSigs combines a list of partial Schnorr signatures s values +// into a complete signature s for some group public key. This is achieved +// by simply adding the s values of the partial signatures as scalars. +func schnorrCombineSigs(curve *TwistedEdwardsCurve, sigss [][]byte) (*big.Int, + error) { + combinedSigS := new(big.Int).SetInt64(0) + for i, sigs := range sigss { + sigsBI := EncodedBytesToBigInt(copyBytes(sigs)) + if sigsBI.Cmp(zero) == 0 { + str := fmt.Sprintf("sig s %v is zero", i) + return nil, fmt.Errorf("%v", str) + } + if sigsBI.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("sig s %v is out of bounds", i) + return nil, fmt.Errorf("%v", str) + } + + combinedSigS = ScalarAdd(combinedSigS, sigsBI) + combinedSigS.Mod(combinedSigS, curve.N) + } + + if combinedSigS.Cmp(zero) == 0 { + str := fmt.Sprintf("combined sig s %v is zero", combinedSigS) + return nil, fmt.Errorf("%v", str) + } + + return combinedSigS, nil +} + +// SchnorrCombineSigs is the generalized and exported version of +// generateNoncePair. +func SchnorrCombineSigs(curve *TwistedEdwardsCurve, + sigs []*Signature) (*Signature, error) { + sigss := make([][]byte, len(sigs)) + for i, sig := range sigs { + if sig == nil { + return nil, fmt.Errorf("nil signature") + } + + if i > 0 { + if sigs[i-1].GetR().Cmp(sig.GetR()) != 0 { + str := fmt.Sprintf("nonmatching r values for idx %v, %v", + i, i-1) + return nil, fmt.Errorf("%v", str) + } + } + + sigss[i] = BigIntToEncodedBytes(sig.GetS())[:] + } + + combinedSigS, err := schnorrCombineSigs(curve, sigss) + if err != nil { + return nil, err + } + + return NewSignature(sigs[0].R, combinedSigS), nil +} diff --git a/crypto/ecc/ed25519/threshold_test.go b/crypto/ecc/ed25519/threshold_test.go new file mode 100644 index 0000000..af3219f --- /dev/null +++ b/crypto/ecc/ed25519/threshold_test.go @@ -0,0 +1,220 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package edwards + +import ( + "bytes" + "encoding/hex" + "math/big" + "math/rand" + "testing" +) + +func TestSchnorrThreshold(t *testing.T) { + tRand := rand.New(rand.NewSource(543212345)) + maxSignatories := 10 + numTests := 5 + numSignatories := maxSignatories * numTests + + curve := new(TwistedEdwardsCurve) + curve.InitParam25519() + + msg, _ := hex.DecodeString( + "d04b98f48e8f8bcc15c6ae5ac050801cd6dcfd428fb5f9e65c4e16e7807340fa") + privkeys := randPrivScalarKeyList(curve, numSignatories) + + for i := 0; i < numTests; i++ { + numKeysForTest := tRand.Intn(maxSignatories-2) + 2 + keyIndex := i * maxSignatories + keysToUse := make([]*PrivateKey, numKeysForTest) + for j := 0; j < numKeysForTest; j++ { + keysToUse[j] = privkeys[j+keyIndex] + } + + pubKeysToUse := make([]*PublicKey, numKeysForTest) + for j := 0; j < numKeysForTest; j++ { + _, pubkey, _ := PrivKeyFromScalar(curve, + keysToUse[j].Serialize()) + pubKeysToUse[j] = pubkey + } + + // Combine pubkeys. + allPubkeys := make([]*PublicKey, numKeysForTest) + copy(allPubkeys, pubKeysToUse) + + allPksSum := CombinePubkeys(curve, allPubkeys) + + privNoncesToUse := make([]*PrivateKey, numKeysForTest) + pubNoncesToUse := make([]*PublicKey, numKeysForTest) + for j := 0; j < numKeysForTest; j++ { + nonce := nonceRFC6979(curve, keysToUse[j].Serialize(), msg, nil, + Sha512VersionStringRFC6979) + nonceBig := new(big.Int).SetBytes(nonce) + nonceBig.Mod(nonceBig, curve.N) + nonce = copyBytes(nonceBig.Bytes())[:] + nonce[31] &= 248 + + privNonce, pubNonce, err := PrivKeyFromScalar(curve, + nonce[:]) + cmp := privNonce != nil + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + cmp = pubNonce != nil + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + privNoncesToUse[j] = privNonce + pubNoncesToUse[j] = pubNonce + } + + partialSignatures := make([]*Signature, numKeysForTest) + + // Partial signature generation. + publicNonceSum := CombinePubkeys(curve, pubNoncesToUse) + cmp := publicNonceSum != nil + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + for j := range keysToUse { + r, s, err := schnorrPartialSign(curve, msg, keysToUse[j].Serialize(), + allPksSum.Serialize(), privNoncesToUse[j].Serialize(), + publicNonceSum.Serialize()) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + localSig := NewSignature(r, s) + partialSignatures[j] = localSig + } + + // Combine signatures. + combinedSignature, err := SchnorrCombineSigs(curve, partialSignatures) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + // Make sure the combined signatures are the same as the + // signatures that would be generated by simply adding + // the private keys and private nonces. + combinedPrivkeysD := new(big.Int).SetInt64(0) + for _, priv := range keysToUse { + combinedPrivkeysD = ScalarAdd(combinedPrivkeysD, priv.GetD()) + combinedPrivkeysD = combinedPrivkeysD.Mod(combinedPrivkeysD, curve.N) + } + + combinedNonceD := new(big.Int).SetInt64(0) + for _, priv := range privNoncesToUse { + combinedNonceD.Add(combinedNonceD, priv.GetD()) + combinedNonceD.Mod(combinedNonceD, curve.N) + } + + combinedPrivkey, _, err := PrivKeyFromScalar(curve, + copyBytes(combinedPrivkeysD.Bytes())[:]) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + combinedNonce, _, err := PrivKeyFromScalar(curve, + copyBytes(combinedNonceD.Bytes())[:]) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + cSigR, cSigS, err := SignFromScalar(curve, combinedPrivkey, + combinedNonce.Serialize(), msg) + sumSig := NewSignature(cSigR, cSigS) + cmp = bytes.Equal(sumSig.Serialize(), combinedSignature.Serialize()) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + // Verify the combined signature and public keys. + ok := Verify(allPksSum, msg, combinedSignature.GetR(), + combinedSignature.GetS()) + if !ok { + t.Fatalf("expected %v, got %v", true, ok) + } + + // Corrupt some memory and make sure it breaks something. + corruptWhat := tRand.Intn(3) + randItem := tRand.Intn(numKeysForTest - 1) + + // Corrupt private key. + if corruptWhat == 0 { + privSerCorrupt := keysToUse[randItem].Serialize() + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + privSerCorrupt[pos] ^= 1 << uint8(bitPos) + keysToUse[randItem].ecPk.D.SetBytes(privSerCorrupt) + } + // Corrupt public key. + if corruptWhat == 1 { + pubXCorrupt := BigIntToEncodedBytes(pubKeysToUse[randItem].GetX()) + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + pubXCorrupt[pos] ^= 1 << uint8(bitPos) + pubKeysToUse[randItem].GetX().SetBytes(pubXCorrupt[:]) + } + // Corrupt private nonce. + if corruptWhat == 2 { + privSerCorrupt := privNoncesToUse[randItem].Serialize() + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + privSerCorrupt[pos] ^= 1 << uint8(bitPos) + privNoncesToUse[randItem].ecPk.D.SetBytes(privSerCorrupt) + } + // Corrupt public nonce. + if corruptWhat == 3 { + pubXCorrupt := BigIntToEncodedBytes(pubNoncesToUse[randItem].GetX()) + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + pubXCorrupt[pos] ^= 1 << uint8(bitPos) + pubNoncesToUse[randItem].GetX().SetBytes(pubXCorrupt[:]) + } + + for j := range keysToUse { + thisPubNonce := pubNoncesToUse[j] + localPubNonces := make([]*PublicKey, numKeysForTest-1) + itr := 0 + for _, pubNonce := range pubNoncesToUse { + if bytes.Equal(thisPubNonce.Serialize(), pubNonce.Serialize()) { + continue + } + localPubNonces[itr] = pubNonce + itr++ + } + publicNonceSum := CombinePubkeys(curve, localPubNonces) + + sigR, sigS, _ := schnorrPartialSign(curve, msg, + keysToUse[j].Serialize(), allPksSum.Serialize(), + privNoncesToUse[j].Serialize(), + publicNonceSum.Serialize()) + localSig := NewSignature(sigR, sigS) + + partialSignatures[j] = localSig + } + + // Combine signatures. + combinedSignature, _ = SchnorrCombineSigs(curve, partialSignatures) + + // Nothing that makes it here should be valid. + if allPksSum != nil && combinedSignature != nil { + ok = Verify(allPksSum, msg, combinedSignature.GetR(), + combinedSignature.GetS()) + if ok { + t.Fatalf("expected %v, got %v", false, ok) + } + } + } +} diff --git a/crypto/ecc/schnorr/ecdsa.go b/crypto/ecc/schnorr/ecdsa.go new file mode 100644 index 0000000..719ca7d --- /dev/null +++ b/crypto/ecc/schnorr/ecdsa.go @@ -0,0 +1,403 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "bytes" + "crypto/rand" + "fmt" + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" + "math/big" +) + +// scalarSize is the size of an encoded big endian scalar. +const scalarSize = 32 + +var ( + // bigZero is the big representation of zero. + bigZero = new(big.Int).SetInt64(0) + + // ecTypeSecSchnorr is the ECDSA type for the chainec interface. + ecTypeSecSchnorr = 2 +) + +// zeroArray zeroes the memory of a scalar array. +func zeroArray(a *[scalarSize]byte) { + for i := 0; i < scalarSize; i++ { + a[i] = 0x00 + } +} + +// zeroSlice zeroes the memory of a scalar byte slice. +func zeroSlice(s []byte) { + for i := 0; i < scalarSize; i++ { + s[i] = 0x00 + } +} + +// schnorrSign signs a Schnorr signature using a specified hash function +// and the given nonce, private key, message, and optional public nonce. +// CAVEAT: Lots of variable time algorithms using both the private key and +// k, which can expose the signer to constant time attacks. You have been +// warned! DO NOT use this algorithm where you might have the possibility +// of someone having EM field/cache/etc access. +// Memory management is also kind of sloppy and whether or not your keys +// or nonces can be found in memory later is likely a product of when the +// garbage collector runs. +// TODO Use field elements with constant time algorithms to prevent said +// attacks. +// This is identical to the Schnorr signature function found in libsecp256k1: +// https://github.com/bitcoin/secp256k1/tree/master/src/modules/schnorr +func schnorrSign(msg []byte, ps []byte, k []byte, + pubNonceX *big.Int, pubNonceY *big.Int, + hashFunc func([]byte) []byte) (*Signature, error) { + curve := secp256k1.S256() + if len(msg) != scalarSize { + str := fmt.Sprintf("wrong size for message (got %v, want %v)", + len(msg), scalarSize) + return nil, schnorrError(ErrBadInputSize, str) + } + if len(ps) != scalarSize { + str := fmt.Sprintf("wrong size for privkey (got %v, want %v)", + len(ps), scalarSize) + return nil, schnorrError(ErrBadInputSize, str) + } + if len(k) != scalarSize { + str := fmt.Sprintf("wrong size for nonce k (got %v, want %v)", + len(k), scalarSize) + return nil, schnorrError(ErrBadInputSize, str) + } + + psBig := new(big.Int).SetBytes(ps) + bigK := new(big.Int).SetBytes(k) + + if psBig.Cmp(bigZero) == 0 { + str := fmt.Sprintf("secret scalar is zero") + return nil, schnorrError(ErrInputValue, str) + } + if psBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("secret scalar is out of bounds") + return nil, schnorrError(ErrInputValue, str) + } + if bigK.Cmp(bigZero) == 0 { + str := fmt.Sprintf("k scalar is zero") + return nil, schnorrError(ErrInputValue, str) + } + if bigK.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("k scalar is out of bounds") + return nil, schnorrError(ErrInputValue, str) + } + + // R = kG + var Rpx, Rpy *big.Int + Rpx, Rpy = curve.ScalarBaseMult(k) + if pubNonceX != nil && pubNonceY != nil { + // Optional: if k' exists then R = R+k' + Rpx, Rpy = curve.Add(Rpx, Rpy, pubNonceX, pubNonceY) + } + + // Check if the field element that would be represented by Y is odd. + // If it is, just keep k in the group order. + if Rpy.Bit(0) == 1 { + bigK.Mod(bigK, curve.N) + bigK.Sub(curve.N, bigK) + } + + // h = Hash(r || m) + Rpxb := BigIntToEncodedBytes(Rpx) + hashInput := make([]byte, 0, scalarSize*2) + hashInput = append(hashInput, Rpxb[:]...) + hashInput = append(hashInput, msg...) + h := hashFunc(hashInput) + hBig := new(big.Int).SetBytes(h) + + // If the hash ends up larger than the order of the curve, abort. + if hBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("hash of (R || m) too big") + return nil, schnorrError(ErrSchnorrHashValue, str) + } + + // s = k - hx + // TODO Speed this up a bunch by using field elements, not + // big ints. That we multiply the private scalar using big + // ints is also probably bad because we can only assume the + // math isn't in constant time, thus opening us up to side + // channel attacks. Using a constant time field element + // implementation will fix this. + sBig := new(big.Int) + sBig.Mul(hBig, psBig) + sBig.Sub(bigK, sBig) + sBig.Mod(sBig, curve.N) + + if sBig.Cmp(bigZero) == 0 { + str := fmt.Sprintf("sig s %v is zero", sBig) + return nil, schnorrError(ErrZeroSigS, str) + } + + // Zero out the private key and nonce when we're done with it. + bigK.SetInt64(0) + zeroSlice(k) + psBig.SetInt64(0) + zeroSlice(ps) + + return &Signature{Rpx, sBig}, nil +} + +// Sign is the exported version of sign. It uses RFC6979 and Blake256 to +// produce a Schnorr signature. +func Sign(priv *secp256k1.PrivateKey, + hash []byte) (r, s *big.Int, err error) { + // Convert the private scalar to a 32 byte big endian number. + pA := BigIntToEncodedBytes(priv.GetD()) + defer zeroArray(pA) + + // Generate a 32-byte scalar to use as a nonce. Try RFC6979 + // first. + kB := nonceRFC6979(priv.Serialize(), hash, nil, nil) + + for { + sig, err := schnorrSign(hash, pA[:], kB, nil, nil, + chainhash.HashB) + if err == nil { + r = sig.GetR() + s = sig.GetS() + break + } + + errTyped, ok := err.(Error) + if !ok { + return nil, nil, fmt.Errorf("unknown error type") + } + if errTyped.GetCode() != ErrSchnorrHashValue { + return nil, nil, err + } + + // We need to compute a new nonce, because the one we used + // didn't work. Compute a random nonce. + _, err = rand.Read(kB) + if err != nil { + return nil, nil, err + } + } + + return r, s, nil +} + +// schnorrVerify is the internal function for verification of a secp256k1 +// Schnorr signature. A secure hash function may be passed for the calculation +// of r. +// This is identical to the Schnorr verification function found in libsecp256k1: +// https://github.com/bitcoin/secp256k1/tree/master/src/modules/schnorr +func schnorrVerify(sig []byte, + pubkey *secp256k1.PublicKey, msg []byte, hashFunc func([]byte) []byte) (bool, + error) { + curve := secp256k1.S256() + if len(msg) != scalarSize { + str := fmt.Sprintf("wrong size for message (got %v, want %v)", + len(msg), scalarSize) + return false, schnorrError(ErrBadInputSize, str) + } + + if len(sig) != SignatureSize { + str := fmt.Sprintf("wrong size for signature (got %v, want %v)", + len(sig), SignatureSize) + return false, schnorrError(ErrBadInputSize, str) + } + if pubkey == nil { + str := fmt.Sprintf("nil pubkey") + return false, schnorrError(ErrInputValue, str) + } + + if !curve.IsOnCurve(pubkey.GetX(), pubkey.GetY()) { + str := fmt.Sprintf("pubkey point is not on curve") + return false, schnorrError(ErrPointNotOnCurve, str) + } + + sigR := sig[:32] + sigS := sig[32:] + sigRCopy := make([]byte, scalarSize) + copy(sigRCopy, sigR) + toHash := append(sigRCopy, msg...) + h := hashFunc(toHash) + hBig := new(big.Int).SetBytes(h) + + // If the hash ends up larger than the order of the curve, abort. + // Same thing for hash == 0 (as unlikely as that is...). + if hBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("hash of (R || m) too big") + return false, schnorrError(ErrSchnorrHashValue, str) + } + if hBig.Cmp(bigZero) == 0 { + str := fmt.Sprintf("hash of (R || m) is zero value") + return false, schnorrError(ErrSchnorrHashValue, str) + } + + // Convert s to big int. + sBig := EncodedBytesToBigInt(copyBytes(sigS)) + + // We also can't have s greater than the order of the curve. + if sBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("s value is too big") + return false, schnorrError(ErrInputValue, str) + } + + // r can't be larger than the curve prime. + rBig := EncodedBytesToBigInt(copyBytes(sigR)) + if rBig.Cmp(curve.P) == 1 { + str := fmt.Sprintf("given R was greater than curve prime") + return false, schnorrError(ErrBadSigRNotOnCurve, str) + } + + // r' = hQ + sG + lx, ly := curve.ScalarMult(pubkey.GetX(), pubkey.GetY(), h) + rx, ry := curve.ScalarBaseMult(sigS) + rlx, rly := curve.Add(lx, ly, rx, ry) + + if rly.Bit(0) == 1 { + str := fmt.Sprintf("calculated R y-value was odd") + return false, schnorrError(ErrBadSigRYValue, str) + } + if !curve.IsOnCurve(rlx, rly) { + str := fmt.Sprintf("calculated R point was not on curve") + return false, schnorrError(ErrBadSigRNotOnCurve, str) + } + rlxB := BigIntToEncodedBytes(rlx) + + // r == r' --> valid signature + if !bytes.Equal(sigR, rlxB[:]) { + str := fmt.Sprintf("calculated R point was not given R") + return false, schnorrError(ErrUnequalRValues, str) + } + + return true, nil +} + +// Verify is the generalized and exported function for the verification of a +// secp256k1 Schnorr signature. BLAKE256 is used as the hashing function. +func Verify(pubkey *secp256k1.PublicKey, + msg []byte, r *big.Int, s *big.Int) bool { + sig := NewSignature(r, s) + ok, _ := schnorrVerify(sig.Serialize(), pubkey, msg, + chainhash.HashB) + + return ok +} + +// schnorrRecover recovers a public key using a signature, hash function, +// and message. It also attempts to verify the signature against the +// regenerated public key. +func schnorrRecover(sig, msg []byte, + hashFunc func([]byte) []byte) (*secp256k1.PublicKey, bool, error) { + curve := secp256k1.S256() + if len(msg) != scalarSize { + str := fmt.Sprintf("wrong size for message (got %v, want %v)", + len(msg), scalarSize) + return nil, false, schnorrError(ErrBadInputSize, str) + } + + if len(sig) != SignatureSize { + str := fmt.Sprintf("wrong size for signature (got %v, want %v)", + len(sig), SignatureSize) + return nil, false, schnorrError(ErrBadInputSize, str) + } + + sigR := sig[:32] + sigS := sig[32:] + sigRCopy := make([]byte, scalarSize) + copy(sigRCopy, sigR) + toHash := append(sigRCopy, msg...) + h := hashFunc(toHash) + hBig := new(big.Int).SetBytes(h) + + // If the hash ends up larger than the order of the curve, abort. + // Same thing for hash == 0 (as unlikely as that is...). + if hBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("hash of (R || m) too big") + return nil, false, schnorrError(ErrSchnorrHashValue, str) + } + if hBig.Cmp(bigZero) == 0 { + str := fmt.Sprintf("hash of (R || m) is zero value") + return nil, false, schnorrError(ErrSchnorrHashValue, str) + } + + // Convert s to big int. + sBig := EncodedBytesToBigInt(copyBytes(sigS)) + + // We also can't have s greater than the order of the curve. + if sBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("s value is too big") + return nil, false, schnorrError(ErrInputValue, str) + } + + // r can't be larger than the curve prime. + rBig := EncodedBytesToBigInt(copyBytes(sigR)) + if rBig.Cmp(curve.P) == 1 { + str := fmt.Sprintf("given R was greater than curve prime") + return nil, false, schnorrError(ErrBadSigRNotOnCurve, str) + } + + // Decompress the Y value. We know that the first bit must + // be even. Use the PublicKey struct to make it easier. + compressedPoint := make([]byte, PubKeyBytesLen) + compressedPoint[0] = pubkeyCompressed + copy(compressedPoint[1:], sigR) + rPoint, err := secp256k1.ParsePubKey(compressedPoint) + if err != nil { + str := fmt.Sprintf("bad r point") + return nil, false, schnorrError(ErrRegenerateRPoint, str) + } + + // Get the inverse of the hash. + hInv := new(big.Int).ModInverse(hBig, curve.N) + hInv.Mod(hInv, curve.N) + + // Negate s. + sBig.Sub(curve.N, sBig) + sBig.Mod(sBig, curve.N) + + // s' = -s * inverse(h). + sBig.Mul(sBig, hInv) + sBig.Mod(sBig, curve.N) + + // Q = h^(-1)R + s'G + lx, ly := curve.ScalarMult(rPoint.GetX(), rPoint.GetY(), hInv.Bytes()) + rx, ry := curve.ScalarBaseMult(sBig.Bytes()) + pkx, pky := curve.Add(lx, ly, rx, ry) + + // Check if the public key is on the curve. + if !curve.IsOnCurve(pkx, pky) { + str := fmt.Sprintf("pubkey not on curve") + return nil, false, schnorrError(ErrPubKeyOffCurve, str) + } + pubkey := secp256k1.NewPublicKey(pkx, pky) + + // Verify this signature. Slow, lots of double checks, could be more + // cheaply implemented as + // hQ + sG - R == 0 + // which this function checks. + // This will sometimes pass even for corrupted signatures, but + // this shouldn't be a concern because whoever is using the + // results should be checking the returned public key against + // some known one anyway. In the case of these Schnorr signatures, + // relatively high numbers of corrupted signatures (50-70%) + // seem to produce valid pubkeys and valid signatures. + _, err = schnorrVerify(sig, pubkey, msg, hashFunc) + if err != nil { + str := fmt.Sprintf("pubkey/sig pair could not be validated") + return nil, false, schnorrError(ErrRegenSig, str) + } + + return pubkey, true, nil +} + +// RecoverPubkey is the exported and generalized version of schnorrRecover. +// It recovers a public key given a signature and a message, using BLAKE256 +// as the hashing function. +func RecoverPubkey(sig, + msg []byte) (*secp256k1.PublicKey, bool, error) { + + return schnorrRecover(sig, msg, chainhash.HashB) +} diff --git a/crypto/ecc/schnorr/ecdsa_test.go b/crypto/ecc/schnorr/ecdsa_test.go new file mode 100644 index 0000000..4155261 --- /dev/null +++ b/crypto/ecc/schnorr/ecdsa_test.go @@ -0,0 +1,396 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "bytes" + "encoding/hex" + "math/rand" + "testing" + + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +type SchorrSigningTestVectorHex struct { + msg string + nonce string + priv string + sig string +} + +// schnorrSigningTestVectors were produced using the testing functions +// implemented in libsecp256k1. +// https://github.com/bitcoin/secp256k1/blob/258720851e24e23c1036b4802a185850e258a105/src/modules/schnorr/tests_impl.h +var schnorrSigningTestVectors = []SchorrSigningTestVectorHex{ + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "D1C4C30F60582323A609B56B92270181EB05C3E5AB3E19AE1F768C65C6D09A29", "714D90C991E5D26CBF5771D8A84D087200AAA3197C3217A702ED8D69EA714CAB", "0A3E13BFD0B64C120AA25D27E3CD87678154A4461CE0AD471273927A6459F0C6" + "B9A36629C110ECEEEBBD52E7A5D491BB10AF59C3C73285B9427D1254F28DC460"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "86D9A69D76C1435EDC35347B50B4F944D30EDF8B5CB8E897E95F2C1F1B72D3C3", "60A30BC3BC7CDED4F13C9E3F20F69B8F7B4AB70E60825AE053FC88A2E7046C1F", "D60EFA079B194592A5200C60438A3617691FDE1B5FBCF788D0943A4BB69592F1" + "66D469F48267AA71DAF4BA996BA2BF3A99858C4BF854E2CDFC8AB7E6571D6A8C"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "499FE87D281A8EDEC40D7C29202CA93F9E612760C689543897255CC3B543F2E9", "0C23A2A854DD57AC4773533E84039BA165CA1F79BE8019BDF9EA3173741C67E9", "3C3483E5CDAAF894261071A948B1E21906CEF0293D10A3D20325EA84CC129B32" + "FF07618FAD7BE485A5A1C15DD6EE5485058D03514259714E724879AABCD70C5D"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "258E4C1130CACA9D1CF5DDB589551374DC06491BED02A72CBB8FC7D211E1ED20", "D4045E55A0FED015E1E90934C092C146680090F5538752152F35DAD6ECE70A45", "5EC936DC757F57473A84383F11511B78DB25ABEC5D0DEAE76ECFB30B7A006D9E" + "073D1EFC0C026F41BFBAF9E98FCA42CC6E1946123BD30B5BD27039FFF2D5FC48"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "8E4E9709D63F40167327325CDB6595AD806CABA520FC678993EA872151F6F520", "FD986300F2EB2F3F004D878B8E05C0E8D423DD4B7F112E1396406A0180F14956", "6025A47D8E92D32C417AF55414E6DB6FDEA98D64271C98C5C7FE4C4A6AF75727" + "4106736F0AC7C8782223BCFCDDB2D9396EF5169AE74E81EBE66F1EF3B5982A77"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "F6945B4B5A036BD85915F617054066E16B95392002CE7E7A4B1CD8C2190191A2", "80B060ACE5CB0D9971FB6A8E9A1342D88D144B56FE21A24B9183ED4DACADD30B", "7CF3258EEFE3B837916C21D7E13E0A9363FF6F82444D849D2607DB805B19BF68" + "1B78E1E9C509076E1361A0CE3CE46F4E155EC269D19EDCA9685788728EDD9269"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "1A25DEBF234C081CBFA24EF6A61F59ABE76EA58A91B5D749C31B5FBDFA7D80E9", "AF32FAC33D85C1BFE52C29CE47A9E62CF9E4B7EB66E94DACEDBB61AE0733F826", "31D285DA09369C500E4ADA47D868720852176B813AB25A998E7518855780FF08" + "2C04CE5E1BB33A951496475B594A3B42E740DAC3A0EBED07766CE79FA53DFB56"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "1C158A9FFB6CA28F2C2B4DE2680CCFD166D7FE24ED4E46125FDA392B1B547B24", "DEB515BB6074FBDD04EF7F17F055C82C2BE78C21639AED5F80663A0E89C4C9FE", "77383212DABB1F13B23EEE672C3D2D0CA84A58A148CAD023BC7D27F4C2A1BBD0" + "E3A2DB11E8DDC5D8DA1C55C14214FCA9C876EA0635DC260EDD47C8EE6C4B0F11"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "A11FBCD2EFB92CD714C088A5DAA8BEEE5645B7B70A253EB49F6A08E8E64B2F6F", "C57B3F9CB4E72C757BF477BCC5C6CBFEE8F9BFF35FCDE781F647648955F89D70", "180997C4BC9C6BDA81580330CDC4826B15A6A0B591023F84E5A5CCD8503D0E0D" + "172EA8B127F3BEAE03FBB6E3E20A8324A270905854B4EC4F6734C10A0A87DEE3"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "98BFCC52C846EB49CD728C566F58A62FF2D046D7B4A61CBDE8A2A3607AF5484D", "9A77F52ECFCF560FD9DE0B353CDE562FB1674B5ADD569832808C7015197F2600", "B9CD85998407F3E190BE5144BDF15ADDA8178C1F38C5168A2567C7895698DA40" + "E86BA74E0ACB2C7B9045826921265DAAF31FA05DAE8B83A6F3354B6CB493E52F"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "48DEFD73566CCAC57B1CB1FE7143767646B045A57D84C6C43B68958EDEED0439", "18F462C1C3EC3492613BA5E6C2D12C7A271948DB943A6A7081C8F9E58C308BB2", "EFC76E59819889BAEC540F5D89D28A4404B7EB98D34F941A7CA1D8C525256876" + "679BA0F14E5B2C1F69E1010D1B4FD0265AF34A583059805D5A3D13BBD4C8C83E"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "54415DD3EA817C1338D3AFDBBB142A25C2658B7A0E002BEA64E8DB88F5D62AC0", "56469DE2D40B2D7F0012042EFC7647D265D62254500B3D2864D9830D06C0536C", "DAD150AD11E5814E5DA4451A5D6EEE409779BD47D57C4AE7A788536E7E9426A3" + "DE5F61C9E54CE432BAB0FB8A4D6AF3D81A54062108DC2D23B397B7566AAB3A7A"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "7AC0AD497AD4F45285970132B2F15F48A61D2102EE60630A0345D20577070995", "2B72777C7784D50D538810A30AE3BF430A8A9C15E8658ACAED4D41207BA804D1", "827560F2F92A0905097E381BD0E962421A9E43E105585F9CFC3FB2D321369293" + "E16F37244D106FB0FFF2CF4A239F65C2A01D8C3FAAD187E39509AB0B16C7B72F"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "D7B06ED329566E59C551D71C52E9878DC49A2955159C30C5F373B29858A7CB89", "E76806E6BFDDC81B642A0A880313F8A552F448035B82CB2A91DD6175A497147C", "B772E3BFADC01A5088B9637E2E3D7D3269531091B79FC48ABCEE5A887BD3A11B" + "8BFA61100172D404D4938E097EEFFB0508320657BFE54699CD7490F5DC939333"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "23154117CD21BD4FCCB706F32D0945C7C835C632F02C6AC350B4E6BFDAA7F5BC", "96B0E0189F88AB41C486A65957CE6DEEEEBF2382F5393F9DAD1E8C65ADABEF25", "4D46A811696D6ADFCEDB303C4CA5474912502278D17BDB991C90C7EF54943B14" + "B2AF61F481E885C0B73033730AA78C3E59E7BB01B976D3ADA6EC5620FF9C279C"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "38B077D9A2448A2103CEA6F273C7F3720296A9A1814D0B71947D8AC83D00A86F", "836E462F675F2C9FCBF338F4F11494FF3A1BCA5221F6914B8219C5B189D77D40", "869A3BD110A8D32B6BFD8EF14B914C58276462EFF9CF8CE08279DF8BDAD24593" + "E34709964F528A1F0DFC112CAA2C3D26FE51E875CB6A495B57DCAB6876193511"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "FBD4EC7D96CB1F88BCBFEAF6FB7DDEE0898A3E4246C60FD688784B0F3C86444B", "8C5762E2019C91F24C80F1B4B7382912B573B3E92A8B9BDE3FCF4F902D84874C", "C2A63FE9E15D19D5ED6232A5641C225B7E0F06B4D4F0C53750E7BD889DAE0B36" + "50C13CFD562D104DEFD08C3CB208A4EFDF2EA405795E61D37162BF374E1F9CFF"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "76598BC70790E15BD717E9044BCDBD1B02EE09B9A7359CB77DFD1BC324C6AC54", "0CA72F2D1207B08162535A2C57282FB9B73C842818BB14378DB2F0C202F44BDA", "058A67F66CFFB0C7F14A5F8D98B068264E02DF7D372B0A1658308D6694F3E2D8" + "3B1014276872CD2ED9D19D3CE03AA0AE87F86FF1AC643D2179947552F363FA31"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "AAFEBB955B36B528034142464309C23C2F252F1A1BA97AB34D54FBD35899D896", "6A64A71C9BA0B2C5AD94F490CD76682B47C5EA7EE3B3B43208ADBB855DA9629E", "75541ADBACFE1483A27B2C261FFAD609BD38BDC9FE2C951B1B1A53C0929973C9" + "AC5B33E168B832CD2B65E1A164BBBB45939F26696367461A41EBA76984FD70A9"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "A19FDD9C1A161DC1B272E9484FD60B80374765D89C60928230BA51C671986262", "7B82469A8B8D1E9A12756869E255B70DB0404DB187565D88DFD78618077826F3", "6E5221F9AB9634644B3447C56504BE4B2C6DEC1024DC5E486F0D11E8ABFF7266" + "7096BD1F7FC33C5E1F7AAD7DF06C43FAF8B7A05F312ADFABF586D516B988E880"}, + {"304502210088BE0644191B935DB1CD786B43FF27798006578D8C908906B49E89", "D463F98114D5EFBF206441C3BCB07B5D0358B9ABCD7212700D1E85A3B59B4B14", "7507E3E1CD0CAF7E951B8F46C7A52717203AA6922F5B3AA4B813AE05B3BED616", 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Do not use for anything but tests. +func testSchnorrHash(msg []byte) []byte { + h32 := make([]byte, scalarSize) + + j := 32 + for i := 0; i < 32; i++ { + h32[i] = msg[i] ^ msg[j] + j++ + } + + return h32 +} + +func TestSchnorrSigning(t *testing.T) { + tRand := rand.New(rand.NewSource(54321)) + tvs := GetSigningTestVectors() + for _, tv := range tvs { + _, pubkey := secp256k1.PrivKeyFromBytes(tv.priv) + + sig, err := + schnorrSign(tv.msg, tv.priv, tv.nonce, nil, nil, + testSchnorrHash) + if err != nil { + t.Fatalf("unexpected error %v", err) + } + + cmp := bytes.Equal(sig.Serialize()[:], tv.sig[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Make sure they verify too while we're at it. + _, err = schnorrVerify(sig.Serialize(), pubkey, tv.msg, + testSchnorrHash) + if err != nil { + t.Fatalf("unexpected error %v", err) + } + + // See if we can recover the public keys OK. + var pkRecover *secp256k1.PublicKey + pkRecover, _, err = schnorrRecover(sig.Serialize(), tv.msg, + testSchnorrHash) + if err != nil { + t.Fatalf("unexpected error %v", err) + } + + cmp = bytes.Equal(pubkey.Serialize()[:], pkRecover.Serialize()[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Screw up the signature at a random bit and make sure that breaks it. + sigBad := sig.Serialize() + pos := tRand.Intn(63) + bitPos := tRand.Intn(7) + sigBad[pos] ^= 1 << uint8(bitPos) + _, err = schnorrVerify(sigBad, pubkey, tv.msg, + testSchnorrHash) + if err == nil { + t.Fatalf("expected an error, got %v", err) + } + + // Make sure it breaks pubkey recovery too. + var valid bool + pkRecover, valid, err = schnorrRecover(sigBad, tv.msg, + testSchnorrHash) + if valid { + cmp = bytes.Equal(pubkey.Serialize()[:], pkRecover.Serialize()[:]) + if cmp { + t.Fatalf("expected %v, got %v", false, cmp) + } + } else { + if err == nil { + t.Fatalf("expected an error, got %v", err) + } + } + } +} + +func randPrivKeyList(i int) []*secp256k1.PrivateKey { + r := rand.New(rand.NewSource(54321)) + + privKeyList := make([]*secp256k1.PrivateKey, i) + for j := 0; j < i; j++ { + for { + bIn := new([32]byte) + for k := 0; k < scalarSize; k++ { + randByte := r.Intn(255) + bIn[k] = uint8(randByte) + } + + pks, _ := secp256k1.PrivKeyFromBytes(bIn[:]) + if pks == nil { + continue + } + + // No duplicates allowed. + if j > 0 && + (bytes.Equal(pks.Serialize(), privKeyList[j-1].Serialize())) { + r.Seed(int64(j) + r.Int63n(12345)) + continue + } + privKeyList[j] = pks + r.Seed(int64(j) + 54321) + break + } + } + + return privKeyList +} + +type SignatureVerParams struct { + pubkey *secp256k1.PublicKey + msg []byte + sig *Signature +} + +func randSigList(i int) []*SignatureVerParams { + r := rand.New(rand.NewSource(54321)) + + privKeyList := make([]*secp256k1.PrivateKey, i) + for j := 0; j < i; j++ { + for { + bIn := new([32]byte) + for k := 0; k < scalarSize; k++ { + randByte := r.Intn(255) + bIn[k] = uint8(randByte) + } + + pks, _ := secp256k1.PrivKeyFromBytes(bIn[:]) + if pks == nil { + continue + } + privKeyList[j] = pks + r.Seed(int64(j) + 54321) + break + } + } + + msgList := make([][]byte, i) + for j := 0; j < i; j++ { + m := make([]byte, 32) + for k := 0; k < scalarSize; k++ { + randByte := r.Intn(255) + m[k] = uint8(randByte) + } + msgList[j] = m + r.Seed(int64(j) + 54321) + } + + sigsList := make([]*Signature, i) + for j := 0; j < i; j++ { + r, s, err := Sign(privKeyList[j], msgList[j]) + if err != nil { + panic("sign failure") + } + sig := &Signature{r, s} + sigsList[j] = sig + } + + sigStructList := make([]*SignatureVerParams, i) + for j := 0; j < i; j++ { + ss := new(SignatureVerParams) + pkx, pky := privKeyList[j].Public() + ss.pubkey = secp256k1.NewPublicKey(pkx, pky) + ss.msg = msgList[j] + ss.sig = sigsList[j] + sigStructList[j] = ss + } + + return sigStructList +} + +// Use our actual hashing algorithm here. +func TestSignaturesAndRecovery(t *testing.T) { + r := rand.New(rand.NewSource(54321)) + + numSigs := 128 + sigList := randSigList(numSigs) + + for _, tv := range sigList { + pubkey := tv.pubkey + sig := tv.sig + + // Make sure we can verify the original signature. + _, err := schnorrVerify(sig.Serialize(), pubkey, tv.msg, + chainhash.HashB) + if err != nil { + t.Fatalf("expected an error, got %v", err) + } + + ok := Verify(pubkey, tv.msg, sig.R, sig.S) + if !ok { + t.Fatalf("expected %v, got %v", true, ok) + } + + // See if we can recover the public keys OK. + var pkRecover *secp256k1.PublicKey + pkRecover, _, err = schnorrRecover(sig.Serialize(), tv.msg, + chainhash.HashB) + if err != nil { + t.Fatalf("unexpected error %s", err) + } + + cmp := bytes.Equal(pubkey.Serialize()[:], pkRecover.Serialize()[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Screw up the signature at some random bits and make sure + // that breaks it. + numBadBits := r.Intn(2) + sigBad := sig.Serialize() + // (numBadBits*2)+1 --> always odd so at least one bit is different + for i := 0; i < (numBadBits*2)+1; i++ { + pos := r.Intn(63) + bitPos := r.Intn(7) + sigBad[pos] ^= 1 << uint8(bitPos) + } + _, err = schnorrVerify(sigBad, pubkey, tv.msg, + chainhash.HashB) + if err == nil { + t.Fatalf("expected an error, got %v", err) + } + + // Make sure it breaks pubkey recovery too. + var valid bool + pkRecover, valid, err = schnorrRecover(sigBad, tv.msg, + testSchnorrHash) + if valid { + cmp := bytes.Equal(pubkey.Serialize()[:], pkRecover.Serialize()[:]) + if cmp { + t.Fatalf("expected %v, got %v", false, cmp) + } + } else { + if err == nil { + t.Fatalf("expected an error, got %v", err) + } + } + } +} + +func benchmarkSigning(b *testing.B) { + r := rand.New(rand.NewSource(54321)) + msg := []byte{ + 0xbe, 0x13, 0xae, 0xf4, + 0xe8, 0xa2, 0x00, 0xb6, + 0x45, 0x81, 0xc4, 0xd1, + 0x0c, 0xf4, 0x1b, 0x5b, + 0xe1, 0xd1, 0x81, 0xa7, + 0xd3, 0xdc, 0x37, 0x55, + 0x58, 0xc1, 0xbd, 0xa2, + 0x98, 0x2b, 0xd9, 0xfb, + } + + numKeys := 1024 + privKeyList := randPrivKeyList(numKeys) + + for n := 0; n < b.N; n++ { + randIndex := r.Intn(numKeys - 1) + _, _, err := Sign(privKeyList[randIndex], msg) + if err != nil { + panic("sign failure") + } + } +} + +func BenchmarkSigning(b *testing.B) { benchmarkSigning(b) } + +func benchmarkVerification(b *testing.B) { + r := rand.New(rand.NewSource(54321)) + + numSigs := 1024 + sigList := randSigList(numSigs) + + for n := 0; n < b.N; n++ { + randIndex := r.Intn(numSigs - 1) + ver := Verify(sigList[randIndex].pubkey, + sigList[randIndex].msg, + sigList[randIndex].sig.R, + sigList[randIndex].sig.S) + if !ver { + panic("made invalid sig") + } + } +} + +func BenchmarkVerification(b *testing.B) { benchmarkVerification(b) } diff --git a/crypto/ecc/schnorr/error.go b/crypto/ecc/schnorr/error.go new file mode 100644 index 0000000..7ee3aae --- /dev/null +++ b/crypto/ecc/schnorr/error.go @@ -0,0 +1,109 @@ +// Copyright (c) 2014 Conformal Systems LLC. +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "fmt" +) + +// ErrorCode identifies a kind of error. +type ErrorCode int + +// These constants are used to identify a specific RuleError. +const ( + // ErrBadInputSize indicates that input to a signature was of the wrong size. + ErrBadInputSize = iota + + // ErrInputValue indicates that the value of an input was wrong (e.g. zero). + ErrInputValue + + // ErrSchnorrHashValue indicates that the hash of (R || m) was too large + // and so a new k value (nonce) should be used. + ErrSchnorrHashValue + + // ErrPointNotOnCurve indicates that a point was not on the given + // elliptic curve. + ErrPointNotOnCurve + + // ErrBadSigRYValue indicates that the calculated Y value of R was odd, + // which is not allowed. + ErrBadSigRYValue + + // ErrBadSigRNotOnCurve indicates that the calculated or given point R for some + // signature was not on the curve. + ErrBadSigRNotOnCurve + + // ErrUnequalRValues indicates that the calculated point R for some + // signature was not the same as the given R value for the signature. + ErrUnequalRValues + + // ErrRegenerateRPoint indicates that a point could not be regenerated + // from r. + ErrRegenerateRPoint + + // ErrPubKeyOffCurve indicates that a regenerated pubkey was off the curve. + ErrPubKeyOffCurve + + // ErrRegenSig indicates that a regenerated pubkey could not be validated + // against the signature. + ErrRegenSig + + // ErrBadNonce indicates that a generated nonce from some algorithm was + // unusable. + ErrBadNonce + + // ErrZeroSigS indates a zero signature S value, which is invalid. + ErrZeroSigS + + // ErrNonmatchingR indicates that all signatures to be combined in a + // threshold signature failed to have a matching R value. + ErrNonmatchingR +) + +// Map of ErrorCode values back to their constant names for pretty printing. +var errorCodeStrings = map[ErrorCode]string{ + ErrBadInputSize: "BadInputSize", + ErrInputValue: "ErrInputValue", + ErrSchnorrHashValue: "ErrSchnorrHashValue", + ErrPointNotOnCurve: "ErrPointNotOnCurve", + ErrBadSigRYValue: "ErrBadSigRYValue", + ErrBadSigRNotOnCurve: "ErrBadSigRNotOnCurve", + ErrRegenerateRPoint: "ErrRegenerateRPoint", + ErrPubKeyOffCurve: "ErrPubKeyOffCurve", + ErrRegenSig: "ErrRegenSig", + ErrBadNonce: "ErrBadNonce", + ErrZeroSigS: "ErrZeroSigS", + ErrNonmatchingR: "ErrNonmatchingR", +} + +// String returns the ErrorCode as a human-readable name. +func (e ErrorCode) String() string { + if s := errorCodeStrings[e]; s != "" { + return s + } + return fmt.Sprintf("Unknown ErrorCode (%d)", int(e)) +} + +// Error identifies a violation. +type Error struct { + ErrorCode ErrorCode // Describes the kind of error + Description string // Human readable description of the issue +} + +// Error satisfies the error interface and prints human-readable errors. +func (e Error) Error() string { + return e.Description +} + +// GetCode satisfies the error interface and prints human-readable errors. +func (e Error) GetCode() ErrorCode { + return e.ErrorCode +} + +// schnorrError creates a Error given a set of arguments. +func schnorrError(c ErrorCode, desc string) Error { + return Error{ErrorCode: c, Description: desc} +} diff --git a/crypto/ecc/schnorr/primitives.go b/crypto/ecc/schnorr/primitives.go new file mode 100644 index 0000000..ed39bdc --- /dev/null +++ b/crypto/ecc/schnorr/primitives.go @@ -0,0 +1,75 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "math/big" +) + +// copyBytes copies a byte slice to a 32 byte array. +func copyBytes(aB []byte) *[32]byte { + if aB == nil { + return nil + } + s := new([32]byte) + + // If we have a short byte string, expand + // it so that it's long enough. + aBLen := len(aB) + if aBLen < scalarSize { + diff := scalarSize - aBLen + for i := 0; i < diff; i++ { + aB = append([]byte{0x00}, aB...) + } + } + + for i := 0; i < scalarSize; i++ { + s[i] = aB[i] + } + + return s +} + +// BigIntToEncodedBytes converts a big integer into its corresponding +// 32 byte little endian representation. +func BigIntToEncodedBytes(a *big.Int) *[32]byte { + s := new([32]byte) + if a == nil { + return s + } + // Caveat: a can be longer than 32 bytes. + aB := a.Bytes() + + // If we have a short byte string, expand + // it so that it's long enough. + aBLen := len(aB) + if aBLen < scalarSize { + diff := scalarSize - aBLen + for i := 0; i < diff; i++ { + aB = append([]byte{0x00}, aB...) + } + } + + for i := 0; i < scalarSize; i++ { + s[i] = aB[i] + } + + return s +} + +// EncodedBytesToBigInt converts a 32 byte big endian representation of +// an integer into a big integer. +func EncodedBytesToBigInt(s *[32]byte) *big.Int { + // Use a copy so we don't screw up our original + // memory. + sCopy := new([32]byte) + for i := 0; i < scalarSize; i++ { + sCopy[i] = s[i] + } + + bi := new(big.Int).SetBytes(sCopy[:]) + + return bi +} diff --git a/crypto/ecc/schnorr/pubkey.go b/crypto/ecc/schnorr/pubkey.go new file mode 100644 index 0000000..ab15f97 --- /dev/null +++ b/crypto/ecc/schnorr/pubkey.go @@ -0,0 +1,46 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +// These constants define the lengths of serialized public keys. +const ( + PubKeyBytesLen = 33 +) + +const ( + // pubkeyCompressed is the header byte for a compressed secp256k1 pubkey. + pubkeyCompressed byte = 0x2 // y_bit + x coord +) + +// ParsePubKey parses a public key for a koblitz curve from a bytestring into a +// ecdsa.Publickey, verifying that it is valid. It supports compressed signature +// formats only. +func ParsePubKey(curve *secp256k1.KoblitzCurve, + pubKeyStr []byte) (key *secp256k1.PublicKey, err error) { + if pubKeyStr == nil { + err = fmt.Errorf("nil pubkey byte string") + return + } + if len(pubKeyStr) != PubKeyBytesLen { + err = fmt.Errorf("bad pubkey byte string size (want %v, have %v)", + PubKeyBytesLen, len(pubKeyStr)) + return + } + format := pubKeyStr[0] + format &= ^byte(0x1) + if format != pubkeyCompressed { + err = fmt.Errorf("wrong pubkey type (not compressed)") + return + } + + return secp256k1.ParsePubKey(pubKeyStr) +} diff --git a/crypto/ecc/schnorr/signature.go b/crypto/ecc/schnorr/signature.go new file mode 100644 index 0000000..312d260 --- /dev/null +++ b/crypto/ecc/schnorr/signature.go @@ -0,0 +1,75 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "fmt" + "math/big" +) + +// Signature is a type representing a Schnorr signature. +type Signature struct { + R *big.Int + S *big.Int +} + +// SignatureSize is the size of an encoded Schnorr signature. +const SignatureSize = 64 + +// NewSignature instantiates a new signature given some R,S values. +func NewSignature(r, s *big.Int) *Signature { + return &Signature{r, s} +} + +// Serialize returns the Schnorr signature in the more strict format. +// +// The signatures are encoded as +// sig[0:32] R, a point encoded as big endian +// sig[32:64] S, scalar multiplication/addition results = (ab+c) mod l +// encoded also as big endian +func (sig Signature) Serialize() []byte { + rBytes := BigIntToEncodedBytes(sig.R) + sBytes := BigIntToEncodedBytes(sig.S) + + all := append(rBytes[:], sBytes[:]...) + + return all +} + +func parseSig(sigStr []byte) (*Signature, error) { + if len(sigStr) != SignatureSize { + return nil, fmt.Errorf("bad signature size; have %v, want %v", + len(sigStr), SignatureSize) + } + + rBytes := copyBytes(sigStr[0:32]) + r := EncodedBytesToBigInt(rBytes) + sBytes := copyBytes(sigStr[32:64]) + s := EncodedBytesToBigInt(sBytes) + + return &Signature{r, s}, nil +} + +// ParseSignature parses a signature in BER format for the curve type `curve' +// into a Signature type, perfoming some basic sanity checks. +func ParseSignature(sigStr []byte) (*Signature, error) { + return parseSig(sigStr) +} + +// GetR satisfies the chainec PublicKey interface. +func (sig Signature) GetR() *big.Int { + return sig.R +} + +// GetS satisfies the chainec PublicKey interface. +func (sig Signature) GetS() *big.Int { + return sig.S +} + +// GetType satisfies the chainec Signature interface. +func (sig Signature) GetType() int { + return ecTypeSecSchnorr +} diff --git a/crypto/ecc/schnorr/threshold.go b/crypto/ecc/schnorr/threshold.go new file mode 100644 index 0000000..2aaa5cd --- /dev/null +++ b/crypto/ecc/schnorr/threshold.go @@ -0,0 +1,240 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "fmt" + "math/big" + + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +// Sha256VersionStringRFC6979 is the RFC6979 nonce version for a Schnorr signature +// over the secp256k1 curve using SHA256 as the hash function. +var Sha256VersionStringRFC6979 = []byte("Schnorr+SHA256 ") + +// BlakeVersionStringRFC6979 is the RFC6979 nonce version for a Schnorr signature +// over the secp256k1 curve using BLAKE256 as the hash function. +var BlakeVersionStringRFC6979 = []byte("Schnorr+BLAKE256") + +// CombinePubkeys combines a slice of public keys into a single public key +// by adding them together with point addition. +func CombinePubkeys(pks []*secp256k1.PublicKey) *secp256k1.PublicKey { + numPubKeys := len(pks) + curve := secp256k1.S256() + + // Have to have at least two pubkeys. + if numPubKeys < 1 { + return nil + } + if numPubKeys == 1 { + return pks[0] + } + if pks[0] == nil || pks[1] == nil { + return nil + } + + var pkSumX *big.Int + var pkSumY *big.Int + + pkSumX, pkSumY = curve.Add(pks[0].GetX(), pks[0].GetY(), + pks[1].GetX(), pks[1].GetY()) + + if numPubKeys > 2 { + for i := 2; i < numPubKeys; i++ { + pkSumX, pkSumY = curve.Add(pkSumX, pkSumY, + pks[i].GetX(), pks[i].GetY()) + } + } + + if !curve.IsOnCurve(pkSumX, pkSumY) { + return nil + } + + return secp256k1.NewPublicKey(pkSumX, pkSumY) +} + +// nonceRFC6979 is a local instatiation of deterministic nonce generation +// by the standards of RFC6979. +func nonceRFC6979(privkey []byte, hash []byte, extra []byte, + version []byte) []byte { + pkD := new(big.Int).SetBytes(privkey) + defer pkD.SetInt64(0) + bigK := secp256k1.NonceRFC6979(pkD, hash, extra, version) + defer bigK.SetInt64(0) + k := BigIntToEncodedBytes(bigK) + return k[:] +} + +// generateNoncePair deterministically generate a nonce pair for use in +// partial signing of a message. Returns a public key (nonce to dissemanate) +// and a private nonce to keep as a secret for the signer. +func generateNoncePair(msg []byte, priv []byte, + nonceFunction func([]byte, []byte, []byte, []byte) []byte, extra []byte, + version []byte) ([]byte, *secp256k1.PublicKey, error) { + k := nonceFunction(priv, msg, extra, version) + bigK := new(big.Int).SetBytes(k) + curve := secp256k1.S256() + + // k scalar sanity checks. + if bigK.Cmp(bigZero) == 0 { + str := fmt.Sprintf("k scalar is zero") + return nil, nil, schnorrError(ErrBadNonce, str) + } + if bigK.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("k scalar is >= curve.N") + return nil, nil, schnorrError(ErrBadNonce, str) + } + bigK.SetInt64(0) + + pubx, puby := curve.ScalarBaseMult(k) + pubnonce := secp256k1.NewPublicKey(pubx, puby) + + return k, pubnonce, nil +} + +// GenerateNoncePair is the generalized and exported version of generateNoncePair. +func GenerateNoncePair(curve *secp256k1.KoblitzCurve, msg []byte, + privkey *secp256k1.PrivateKey, extra []byte, + version []byte) (*secp256k1.PrivateKey, *secp256k1.PublicKey, error) { + priv, pubNonce, err := generateNoncePair(msg, privkey.Serialize(), + nonceRFC6979, extra, version) + if err != nil { + return nil, nil, err + } + + privNonce := secp256k1.NewPrivateKey(EncodedBytesToBigInt(copyBytes(priv))) + return privNonce, pubNonce, nil +} + +// schnorrPartialSign creates a partial Schnorr signature which may be combined +// with other Schnorr signatures to create a valid signature for a group pubkey. +func schnorrPartialSign(curve *secp256k1.KoblitzCurve, msg []byte, priv []byte, + privNonce []byte, pubSum *secp256k1.PublicKey, + hashFunc func([]byte) []byte) (*Signature, error) { + // Sanity checks. + if len(msg) != scalarSize { + str := fmt.Sprintf("wrong size for message (got %v, want %v)", + len(msg), scalarSize) + return nil, schnorrError(ErrBadInputSize, str) + } + if len(priv) != scalarSize { + str := fmt.Sprintf("wrong size for privkey (got %v, want %v)", + len(priv), scalarSize) + return nil, schnorrError(ErrBadInputSize, str) + } + if len(privNonce) != scalarSize { + str := fmt.Sprintf("wrong size for privnonce (got %v, want %v)", + len(privNonce), scalarSize) + return nil, schnorrError(ErrBadInputSize, str) + } + if pubSum == nil { + str := fmt.Sprintf("nil pubkey") + return nil, schnorrError(ErrInputValue, str) + } + + privBig := new(big.Int).SetBytes(priv) + if privBig.Cmp(bigZero) == 0 { + str := fmt.Sprintf("priv scalar is zero") + return nil, schnorrError(ErrInputValue, str) + } + if privBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("priv scalar is out of bounds") + return nil, schnorrError(ErrInputValue, str) + } + privBig.SetInt64(0) + + privNonceBig := new(big.Int).SetBytes(privNonce) + if privNonceBig.Cmp(bigZero) == 0 { + str := fmt.Sprintf("privNonce scalar is zero") + return nil, schnorrError(ErrInputValue, str) + } + if privNonceBig.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("privNonce scalar is out of bounds") + return nil, schnorrError(ErrInputValue, str) + } + privNonceBig.SetInt64(0) + + if !curve.IsOnCurve(pubSum.GetX(), pubSum.GetY()) { + str := fmt.Sprintf("public key sum is off curve") + return nil, schnorrError(ErrInputValue, str) + } + + return schnorrSign(msg, priv, privNonce, pubSum.GetX(), + pubSum.GetY(), hashFunc) +} + +// PartialSign is the generalized and exported version of +// schnorrPartialSign. +func PartialSign(curve *secp256k1.KoblitzCurve, msg []byte, + priv *secp256k1.PrivateKey, privNonce *secp256k1.PrivateKey, + pubSum *secp256k1.PublicKey) (*Signature, error) { + privBytes := priv.Serialize() + defer zeroSlice(privBytes) + privNonceBytes := privNonce.Serialize() + defer zeroSlice(privNonceBytes) + + return schnorrPartialSign(curve, msg, privBytes, privNonceBytes, pubSum, + chainhash.HashB) +} + +// schnorrCombineSigs combines a list of partial Schnorr signatures s values +// into a complete signature s for some group public key. This is achieved +// by simply adding the s values of the partial signatures as scalars. +func schnorrCombineSigs(curve *secp256k1.KoblitzCurve, sigss [][]byte) (*big.Int, + error) { + combinedSigS := new(big.Int).SetInt64(0) + for i, sigs := range sigss { + sigsBI := EncodedBytesToBigInt(copyBytes(sigs)) + if sigsBI.Cmp(bigZero) == 0 { + str := fmt.Sprintf("sig s %v is zero", i) + return nil, schnorrError(ErrInputValue, str) + } + if sigsBI.Cmp(curve.N) >= 0 { + str := fmt.Sprintf("sig s %v is out of bounds", i) + return nil, schnorrError(ErrInputValue, str) + } + + combinedSigS.Add(combinedSigS, sigsBI) + combinedSigS.Mod(combinedSigS, curve.N) + } + + if combinedSigS.Cmp(bigZero) == 0 { + str := fmt.Sprintf("combined sig s %v is zero", combinedSigS) + return nil, schnorrError(ErrZeroSigS, str) + } + + return combinedSigS, nil +} + +// CombineSigs is the generalized and exported version of +// generateNoncePair. +func CombineSigs(curve *secp256k1.KoblitzCurve, + sigs []*Signature) (*Signature, error) { + sigss := make([][]byte, len(sigs)) + for i, sig := range sigs { + if sig == nil { + return nil, fmt.Errorf("nil signature") + } + + if i > 0 { + if sigs[i-1].GetR().Cmp(sig.GetR()) != 0 { + str := fmt.Sprintf("nonmatching r values for idx %v, %v", + i, i-1) + return nil, schnorrError(ErrNonmatchingR, str) + } + } + + sigss[i] = BigIntToEncodedBytes(sig.GetS())[:] + } + + combinedSigS, err := schnorrCombineSigs(curve, sigss) + if err != nil { + return nil, err + } + + return NewSignature(sigs[0].R, combinedSigS), nil +} diff --git a/crypto/ecc/schnorr/threshold_test.go b/crypto/ecc/schnorr/threshold_test.go new file mode 100644 index 0000000..359f9bd --- /dev/null +++ b/crypto/ecc/schnorr/threshold_test.go @@ -0,0 +1,461 @@ +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package schnorr + +import ( + "bytes" + "crypto/sha256" + "encoding/hex" + "math/rand" + "testing" + + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +type signerHex struct { + privkey string + privateNonce string + pubKeySumLocal string + partialSignature string +} + +// Sha256. The internal tests from secp256k1 are kind of screwy and for +// partial signatures call this hash function instead of testSchnorrHash. +func testSchnorrSha256Hash(msg []byte) []byte { + sha := sha256.Sum256(msg) + return sha[:] +} + +type ThresholdTestVectorHex struct { + msg string + signersHex []signerHex + combinedSignature string +} + +// thresholdTestVectorsHex were produced using the testing functions +// implemented in libsecp256k1. +// https://github.com/bitcoin/secp256k1/blob/258720851e24e23c1036b4802a185850e258a105/src/modules/schnorr/tests_impl.h +var thresholdTestVectorsHex = []*ThresholdTestVectorHex{ + { + msg: "0000000000F8FFFFFFFFFF0000000000F0FF3F0000000000C0FFFFFFFF000000", + signersHex: []signerHex{ + { + privkey: "FFFFFFFFFFFFFF0300007800000000000000000000000000000000C0FF010000", + privateNonce: "2C36EFC7F20528A4BA3EF4908786A68B1C5CE4C8BD583F430EBC7E0D8DA853E1", + pubKeySumLocal: "031A763FD2C84354C4BD2B63487952A34DD0E2B9D1E44CA226DC7BAD086D40C29F", + partialSignature: "22E0613D5D406CBAE5B5EFBC39B974E95EFC0DAEF946469F5F68B8E416F398D3B741EED58262E511A6D4BBAD386D6F344AEC2E6A383DA991384F7083B1CE5393", + }, + { + privkey: "FFFFFFFFFFFFFF0F00000000F8FF0700F0FFFFFFFFFF0300FEFFFFFFFF070000", + privateNonce: "52347F775C44520F7F3E60ADDAA4E1CBA89E2BE3A82C89B9E11556B081A3D3EF", + pubKeySumLocal: "037C1D54CF0E2C3947AC9D0C046325A441D2C49FE866423E7FE2A088B2AAA57BC6", + partialSignature: "22E0613D5D406CBAE5B5EFBC39B974E95EFC0DAEF946469F5F68B8E416F398D3D6BB539760D9C5965204FEB2F2399D50242E112C74D11642B2468AA82245A178", + }, + { + privkey: "0000000000000000000000FEFFFFFF7F00F8FFFFFFFFFF0F000080FF0FE0FFFF", + privateNonce: "6F3E98F7B477BAD4D2F7172925EC495BDF1E80A7D4D6E67C180D8577E7D71E9C", + pubKeySumLocal: "033C9E82854DCA364A32295BCA2C8C3CC19633FDB1A51D5E1C6B41A3E19E8468B3", + partialSignature: "22E0613D5D406CBAE5B5EFBC39B974E95EFC0DAEF946469F5F68B8E416F398D36FB69AE37DDBF2CCB254CE6D936D285E549A1225AF267AED8F121C84BC68CA29", + }, + }, + combinedSignature: "22E0613D5D406CBAE5B5EFBC39B974E95EFC0DAEF946469F5F68B8E416F398D3FDB3DD5061189D74AB2E88CDBE1434E4090574D5ACEC9A85B9D5B923C0467DF3", + }, + { + msg: "FFFFE30000F0FFFFFFFFFF0700000000000000000000040000000080FFFFFFFF", + signersHex: []signerHex{ + { + privkey: "FFFFFFFFFFFFFFFFFFFFFFFF1F000000E0FFFFFFFFFFFF7F0000FFFFFFFFFFFF", + privateNonce: "A2880E3B8C3484EAC0B48D440C866480DB46EBD2E2171D9E72C2168BA090E882", + pubKeySumLocal: "022D3E998D4C45E497507F9181DB7638303607F70DCDDCF34AF6189BCA1E02B765", + partialSignature: "1B7510DAF07385B967325B00C2D38C2E510DE7B7E4DD3FA21BFB3F9BDC67C8C63C527290CD1A19C9F84BDF57C5E241C15FAE84BB3A8C7394A2BF67CF4D5CD2F7", + }, + { + privkey: "000000000000C0FFFF0100FFFFFFFFFFFFFFFF0000000000000000000000F8CF", + privateNonce: "5527AE1CF2355A01477A672F6538C8F45BBE0B24BD67C0C97B70EE68CF92D169", + pubKeySumLocal: "0391076906B5293F3061CF4C54E18241156B37CC49087C5FF8A2B898AD020C21C6", + partialSignature: "1B7510DAF07385B967325B00C2D38C2E510DE7B7E4DD3FA21BFB3F9BDC67C8C60A34632DCE40BFDB7D63EFA0D615F75A6CC6A5E39DF84B5016F2CE59CD0EB0C8", + }, + { + privkey: "0000F83F0000000000F03F00000000C0FFFFFF0700000000FEFFFFFFFFFF3F00", + privateNonce: "4CAF0B156FAA4C59B2C2B98C3ACDE8FF2ADDB9B0795A8D8C64F93C2230B4EE00", + pubKeySumLocal: "02756380BE40F3D244ACE2AA1385B0E9ECA2A69D4845FD4C3351C80B6D7404AE01", + partialSignature: "1B7510DAF07385B967325B00C2D38C2E510DE7B7E4DD3FA21BFB3F9BDC67C8C6025C67BA496A41EE038A749FFBAF8B8D849AB5FD489A61EC7750AB2C3F36F6DC", + }, + { + privkey: "0100F8FFFFFFFF0F000000000000FEFF0F00000000FC7F0000F8FFFFFFFFFFFF", + privateNonce: "EDC53C5EF7441CF9B415AC2D670EB4850AE9EC9066A4BF24CBFD91505E4C94B6", + pubKeySumLocal: "039B5600241B681D80C2A9E8C2E4ED72E96E90AE04C857F2B0D36AE110486395B8", + partialSignature: "1B7510DAF07385B967325B00C2D38C2E510DE7B7E4DD3FA21BFB3F9BDC67C8C6B8C285954F28998E45065E8E97FB7021CEDD8AD112A9238331F34AB0559AC64A", + }, + { + privkey: "00000080030000000000000000E0FFFFFFFFFFFFFFFFFEFF0700000000FCFFFF", + privateNonce: "BD7014C0A5CD2ED2324994BE3235B12A18359BE7D4A9817D10EEDEB84E79EA25", + pubKeySumLocal: "0349DB0A59FE3B1D45CE29AE43C3E2D52DFF2A7854284F028C166E861321DC5ACE", + partialSignature: "1B7510DAF07385B967325B00C2D38C2E510DE7B7E4DD3FA21BFB3F9BDC67C8C63DF61C0D15838D8E45ECD5E304C70DA5F34726F61D48CE74EEFD671578945F0B", + }, + }, + combinedSignature: "1B7510DAF07385B967325B00C2D38C2E510DE7B7E4DD3FA21BFB3F9BDC67C8C63F9BDF1B497142B0042D780A346A42725885B57CA1C8728D9221348E579B5EAF", + }, + { + msg: "E63D5EE254ECC86A8BD6439E6434148BD02823E678B96816B08581EB33D2192A", + signersHex: []signerHex{ + { + privkey: "7A39B587A29317AFD793F701D26542E3081D93AB58EA28968C491D7E066A1798", + privateNonce: "FA1F251871E84908FFCDAB664BB5BCBD81C6E99492A01D087CE251E70749A628", + pubKeySumLocal: "038054B95E8008E20BB4217DE652DB2483428851A01D4DB2E8012A69F1C665465F", + partialSignature: "3AB82171C8668D549A1D41B8AB191B862891F06785FD2AEB01C314A0393F42F4A641D545821A52F7C8C2A3E4C8A142672AE5B912EA47C7146A90A0C796A32F94", + }, + { + privkey: "A1FABBBA0C76DD5F255F1A1228D57ADBEBB935C6A80B2D877D3E153DBF946C33", + privateNonce: "C5BEF72D01E30C9D31D6B48A2582FE11E10383F99B933878C308F63718F7FF19", + pubKeySumLocal: "02A4046C2D277BE14A6DF6A9B7664CBB075A3F4B68C2E8D64B9F71A495132D9E65", + partialSignature: "3AB82171C8668D549A1D41B8AB191B862891F06785FD2AEB01C314A0393F42F4B7036345F99BD18852418A3FAF40A3E89B61CA933795282B89D1026CEE88E0E2", + }, + { + privkey: "41BB6B56F127607218B6C0D4DDC9595A6639172ECAFBB73134B16EF6852627DD", + privateNonce: "07B4D13FFD4DC040AEDEC4FA41584F8DC30E01DA86F1D945A787FCD3AEEC2231", + pubKeySumLocal: "0221FF2EC05F57519E33A035B9566E2E7B14CB5E28C4AC6E395E5E2F22A2DD0B69", + partialSignature: "3AB82171C8668D549A1D41B8AB191B862891F06785FD2AEB01C314A0393F42F47BEF592BC2C18D90ED2CCEF245ED861443C71F54913794913A614402E7CA0099", + }, + }, + combinedSignature: "3AB82171C8668D549A1D41B8AB191B862891F06785FD2AEB01C314A0393F42F4D93491B73E77B2110830FD16BDCF6C654F5FC61403CBE3956EF088AA9CBFCFCE", + }, + { + msg: "07BE073995BF78D440B660AF7B06DC0E9BA120A8D686201989BA99AA384ADF12", + signersHex: []signerHex{ + { + privkey: "23527007EB04CA9E0789C3F452A0B154338FCDEF1FF8C88C2FD52066E3684E52", + privateNonce: "EFB2ED7B375587DAEBBE8442768402CAA5F841F6342CA5D27C5F7BD7726D5192", + pubKeySumLocal: "027C8707533D31CD171EA0EF51616B45AE62BCF208DD54708D6A6FFA2AEA6527C5", + partialSignature: "3D13F453F0C41503C00BEA5D558BB267E3E886C588A8A5BABCEED8A33839BEC38A1E913B96EFD3B6155A6B14913819472E2FFE710C51B94A668A6D202CC1D68A", + }, + { + privkey: "CB7ADC7097149F4A803D06F772DB7787BCCAFEB2EB9B83BCD87F8E1DB7C7DEB4", + privateNonce: "3C13E81FAB1BF65B86309CADD2696BFB6155C36D193715D78F199AA0FFC856A9", + pubKeySumLocal: "02A3FD12EEFD04192106C3609CB5C9FA6C6DFDB2380236BE0A9440563F4018C473", + partialSignature: "3D13F453F0C41503C00BEA5D558BB267E3E886C588A8A5BABCEED8A33839BEC39E30A3A4B6B95CD0F3650961A75E00912B4B1A5D504027C60674C7B347A74FEB", + }, + { + privkey: "13F64737DB01990CFB23DCF911EE9544821367BABF250E8D14278518523AE2EE", + privateNonce: "2EAFD6A829C8174E28673D42299A4E7BAD51B736A57DEC3E654B48BF7530720E", + pubKeySumLocal: "027851635454EDA9BFDF6405122C9E71E1FB0F3D8B460AD77E30576DC33F46DB7F", + partialSignature: "3D13F453F0C41503C00BEA5D558BB267E3E886C588A8A5BABCEED8A33839BEC39BA4523516A1DE4049B20ACC0FF5335BBC2769A0EE2C2A90B85DAEEDC5DC5534", + }, + { + privkey: "F969F8FFA6320EFE7450AFDED4802DBB65EC0FC634831282898A9E1A148A672D", + privateNonce: "97C3B4FEB72BF8045943A5AD0A994E61A71EFFFBDEECC9F82C47A33FAAD545AA", + pubKeySumLocal: "03879186ED812C4106644FCB1E47951788799566487C7A1996AB6B226ABCD44361", + partialSignature: "3D13F453F0C41503C00BEA5D558BB267E3E886C588A8A5BABCEED8A33839BEC3C03E18DDC9EE7181341D9B720F660F445E7900A5D6A156A237DC45F99D69A239", + }, + { + privkey: "7290D1CE9CED9EA92826BB930746B62C0D6476233778A25B46602B2CDD22521C", + privateNonce: "B6E877016CFDE7F49324D7270B2617B7E6BAE84EB674667143799DB5474A8EE0", + pubKeySumLocal: "0201EED57034444E89738D8E91D969DB9D46C08ADE5E8F5E135A3510881ACBEC5B", + partialSignature: "3D13F453F0C41503C00BEA5D558BB267E3E886C588A8A5BABCEED8A33839BEC3C0FB656897A0401B9118D3C243E923664E5C33818386841D0729C4552B2D0285", + }, + }, + combinedSignature: "3D13F453F0C41503C00BEA5D558BB267E3E886C588A8A5BABCEED8A33839BEC3452D055BC5D9C06417A7EE769BDA7FE2926B1FE2970C05AD24EBD26992395CA4", + }, +} + +type signer struct { + privkey []byte + pubkey *secp256k1.PublicKey + privateNonce []byte + publicNonce *secp256k1.PublicKey + pubKeySumLocal *secp256k1.PublicKey + partialSignature []byte +} + +type ThresholdTestVector struct { + msg []byte + signers []signer + combinedSignature []byte +} + +func GetThresholdTestVectors() []*ThresholdTestVector { + var tvs []*ThresholdTestVector + for _, v := range thresholdTestVectorsHex { + msg, _ := hex.DecodeString(v.msg) + combSig, _ := hex.DecodeString(v.combinedSignature) + signers := make([]signer, len(v.signersHex)) + for i, signerHex := range v.signersHex { + privkeyB, _ := hex.DecodeString(signerHex.privkey) + _, pubkey := secp256k1.PrivKeyFromBytes(privkeyB) + privateNonceB, _ := hex.DecodeString(signerHex.privateNonce) + _, noncePub := secp256k1.PrivKeyFromBytes(privateNonceB) + pubKeySumLocalB, _ := hex.DecodeString(signerHex.pubKeySumLocal) + pubKeySumLocal, _ := secp256k1.ParsePubKey(pubKeySumLocalB) + partialSignature, _ := hex.DecodeString(signerHex.partialSignature) + + signers[i].privkey = privkeyB + signers[i].pubkey = pubkey + signers[i].privateNonce = privateNonceB + signers[i].publicNonce = noncePub + signers[i].pubKeySumLocal = pubKeySumLocal + signers[i].partialSignature = partialSignature + } + + lv := ThresholdTestVector{ + msg: msg, + signers: signers, + combinedSignature: combSig, + } + + tvs = append(tvs, &lv) + } + + return tvs +} + +func TestSchnorrThresholdRef(t *testing.T) { + curve := secp256k1.S256() + tvs := GetThresholdTestVectors() + for _, tv := range tvs { + partialSignatures := make([]*Signature, len(tv.signers)) + + // Ensure all the pubkey and nonce derivation is correct. + for i, signer := range tv.signers { + nonce := nonceRFC6979(signer.privkey, tv.msg, nil, + Sha256VersionStringRFC6979) + cmp := bytes.Equal(nonce[:], signer.privateNonce[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + _, pubkey := secp256k1.PrivKeyFromBytes(signer.privkey) + cmp = bytes.Equal(pubkey.Serialize()[:], signer.pubkey.Serialize()[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + _, pubNonce := secp256k1.PrivKeyFromBytes(nonce) + cmp = bytes.Equal(pubNonce.Serialize()[:], signer.publicNonce.Serialize()[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Calculate the public nonce sum. + pubKeys := make([]*secp256k1.PublicKey, len(tv.signers)-1) + + itr := 0 + for _, signer := range tv.signers { + if bytes.Equal(signer.publicNonce.Serialize(), + tv.signers[i].publicNonce.Serialize()) { + continue + } + pubKeys[itr] = signer.publicNonce + itr++ + } + publicNonceSum := CombinePubkeys(pubKeys) + cmp = bytes.Equal(publicNonceSum.Serialize()[:], signer.pubKeySumLocal.Serialize()[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + sig, err := schnorrPartialSign(curve, tv.msg, signer.privkey, nonce, + publicNonceSum, testSchnorrSha256Hash) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + cmp = bytes.Equal(sig.Serialize()[:], signer.partialSignature[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + partialSignatures[i] = sig + } + + // Combine signatures. + combinedSignature, err := CombineSigs(curve, partialSignatures) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + cmp := bytes.Equal(combinedSignature.Serialize()[:], tv.combinedSignature[:]) + if !cmp { + t.Fatalf("expected %v, got %v", true, cmp) + } + + // Combine pubkeys. + allPubkeys := make([]*secp256k1.PublicKey, len(tv.signers)) + for i, signer := range tv.signers { + allPubkeys[i] = signer.pubkey + } + allPksSum := CombinePubkeys(allPubkeys) + + // Verify the combined signature and public keys. + ok, err := schnorrVerify(combinedSignature.Serialize(), + allPksSum, tv.msg, testSchnorrSha256Hash) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + if !ok { + t.Fatalf("expected %v, got %v", true, ok) + } + } +} + +func TestSchnorrThreshold(t *testing.T) { + tRand := rand.New(rand.NewSource(54321)) + maxSignatories := 10 + numTests := 100 + numSignatories := maxSignatories * numTests + + curve := secp256k1.S256() + msg, _ := hex.DecodeString( + "07BE073995BF78D440B660AF7B06DC0E9BA120A8D686201989BA99AA384ADF12") + privkeys := randPrivKeyList(numSignatories) + + for i := 0; i < numTests; i++ { + numKeysForTest := tRand.Intn(maxSignatories-2) + 2 + keyIndex := i * maxSignatories + keysToUse := make([]*secp256k1.PrivateKey, numKeysForTest) + for j := 0; j < numKeysForTest; j++ { + keysToUse[j] = privkeys[j+keyIndex] + } + pubKeysToUse := make([]*secp256k1.PublicKey, numKeysForTest) + for j := 0; j < numKeysForTest; j++ { + _, pubkey := secp256k1.PrivKeyFromBytes(keysToUse[j].Serialize()) + pubKeysToUse[j] = pubkey + } + privNoncesToUse := make([]*secp256k1.PrivateKey, numKeysForTest) + pubNoncesToUse := make([]*secp256k1.PublicKey, numKeysForTest) + for j := 0; j < numKeysForTest; j++ { + nonce := nonceRFC6979(keysToUse[j].Serialize(), msg, nil, + BlakeVersionStringRFC6979) + privNonce, pubNonce := secp256k1.PrivKeyFromBytes(nonce) + privNoncesToUse[j] = privNonce + pubNoncesToUse[j] = pubNonce + } + + partialSignatures := make([]*Signature, numKeysForTest) + + // Partial signature generation. + for j := range keysToUse { + thisPubNonce := pubNoncesToUse[j] + localPubNonces := make([]*secp256k1.PublicKey, numKeysForTest-1) + itr := 0 + for _, pubNonce := range pubNoncesToUse { + if bytes.Equal(thisPubNonce.Serialize(), pubNonce.Serialize()) { + continue + } + localPubNonces[itr] = pubNonce + itr++ + } + publicNonceSum := CombinePubkeys(localPubNonces) + + sig, err := schnorrPartialSign(curve, msg, keysToUse[j].Serialize(), + privNoncesToUse[j].Serialize(), publicNonceSum, + chainhash.HashB) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + partialSignatures[j] = sig + } + + // Combine signatures. + combinedSignature, err := CombineSigs(curve, partialSignatures) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + // Combine pubkeys. + allPubkeys := make([]*secp256k1.PublicKey, numKeysForTest) + copy(allPubkeys, pubKeysToUse) + + allPksSum := CombinePubkeys(allPubkeys) + + // Verify the combined signature and public keys. + ok, err := schnorrVerify(combinedSignature.Serialize(), + allPksSum, msg, chainhash.HashB) + if err != nil { + t.Fatalf("unexpected error %s, ", err) + } + + if !ok { + t.Fatalf("expected %v, got %v", true, ok) + } + + // Corrupt some memory and make sure it breaks something. + corruptWhat := tRand.Intn(3) + randItem := tRand.Intn(numKeysForTest - 1) + + // Corrupt private key. + if corruptWhat == 0 { + privSerCorrupt := keysToUse[randItem].Serialize() + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + privSerCorrupt[pos] ^= 1 << uint8(bitPos) + keysToUse[randItem].D.SetBytes(privSerCorrupt) + } + // Corrupt public key. + if corruptWhat == 1 { + pubXCorrupt := BigIntToEncodedBytes(pubKeysToUse[randItem].GetX()) + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + pubXCorrupt[pos] ^= 1 << uint8(bitPos) + pubKeysToUse[randItem].GetX().SetBytes(pubXCorrupt[:]) + } + // Corrupt private nonce. + if corruptWhat == 2 { + privSerCorrupt := privNoncesToUse[randItem].Serialize() + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + privSerCorrupt[pos] ^= 1 << uint8(bitPos) + privNoncesToUse[randItem].D.SetBytes(privSerCorrupt) + } + // Corrupt public nonce. + if corruptWhat == 3 { + pubXCorrupt := BigIntToEncodedBytes(pubNoncesToUse[randItem].GetX()) + pos := tRand.Intn(31) + bitPos := tRand.Intn(7) + pubXCorrupt[pos] ^= 1 << uint8(bitPos) + pubNoncesToUse[randItem].GetX().SetBytes(pubXCorrupt[:]) + } + + for j := range keysToUse { + thisPubNonce := pubNoncesToUse[j] + localPubNonces := make([]*secp256k1.PublicKey, numKeysForTest-1) + itr := 0 + for _, pubNonce := range pubNoncesToUse { + if bytes.Equal(thisPubNonce.Serialize(), pubNonce.Serialize()) { + continue + } + localPubNonces[itr] = pubNonce + itr++ + } + publicNonceSum := CombinePubkeys(localPubNonces) + + sig, _ := schnorrPartialSign(curve, msg, keysToUse[j].Serialize(), + privNoncesToUse[j].Serialize(), publicNonceSum, + chainhash.HashB) + + partialSignatures[j] = sig + } + + // Combine signatures. + combinedSignature, _ = CombineSigs(curve, partialSignatures) + + // Combine pubkeys. + allPubkeys = make([]*secp256k1.PublicKey, numKeysForTest) + copy(allPubkeys, pubKeysToUse) + + allPksSum = CombinePubkeys(allPubkeys) + + // Nothing that makes it here should be valid. + if allPksSum != nil && combinedSignature != nil { + ok, _ = schnorrVerify(combinedSignature.Serialize(), + allPksSum, msg, chainhash.HashB) + if ok { + t.Fatalf("expected %v, got %v", false, ok) + } + } + } +} diff --git a/crypto/ecc/secp256k1.go b/crypto/ecc/secp256k1.go new file mode 100644 index 0000000..81fff9e --- /dev/null +++ b/crypto/ecc/secp256k1.go @@ -0,0 +1,330 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package ecc + +import ( + "errors" + "fmt" + "io" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +type secp256k1DSA struct { + // Constants + getN func() *big.Int + getP func() *big.Int + + // EC Math + add func(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) + isOnCurve func(x *big.Int, y *big.Int) bool + scalarMult func(x, y *big.Int, k []byte) (*big.Int, *big.Int) + scalarBaseMult func(k []byte) (*big.Int, *big.Int) + + // Private keys + newPrivateKey func(d *big.Int) PrivateKey + privKeyFromBytes func(pk []byte) (PrivateKey, PublicKey) + privKeyFromScalar func(pk []byte) (PrivateKey, PublicKey) + privKeyBytesLen func() int + + // Public keys + newPublicKey func(x *big.Int, y *big.Int) PublicKey + parsePubKey func(pubKeyStr []byte) (PublicKey, error) + pubKeyBytesLen func() int + pubKeyBytesLenUncompressed func() int + pubKeyBytesLenCompressed func() int + + // Signatures + newSignature func(r *big.Int, s *big.Int) Signature + parseDERSignature func(sigStr []byte) (Signature, error) + parseSignature func(sigStr []byte) (Signature, error) + recoverCompact func(signature, hash []byte) (PublicKey, bool, error) + + // ECDSA + generateKey func(rand io.Reader) ([]byte, *big.Int, *big.Int, error) + sign func(priv PrivateKey, hash []byte) (r, s *big.Int, err error) + verify func(pub PublicKey, hash []byte, r, s *big.Int) bool + + // Symmetric cipher encryption + generateSharedSecret func(privkey []byte, x, y *big.Int) []byte + encrypt func(x, y *big.Int, in []byte) ([]byte, error) + decrypt func(privkey []byte, in []byte) ([]byte, error) +} + +var ( + secp256k1Curve = secp256k1.S256() +) + +// Boilerplate exported functions to make the struct interact with the interface. +// Constants +func (sp secp256k1DSA) GetP() *big.Int { + return sp.getP() +} +func (sp secp256k1DSA) GetN() *big.Int { + return sp.getN() +} + +// EC Math +func (sp secp256k1DSA) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + return sp.add(x1, y1, x2, y2) +} +func (sp secp256k1DSA) IsOnCurve(x, y *big.Int) bool { + return sp.isOnCurve(x, y) +} +func (sp secp256k1DSA) ScalarMult(x, y *big.Int, k []byte) (*big.Int, *big.Int) { + return sp.scalarMult(x, y, k) +} +func (sp secp256k1DSA) ScalarBaseMult(k []byte) (*big.Int, *big.Int) { + return sp.scalarBaseMult(k) +} + +// Private keys +func (sp secp256k1DSA) NewPrivateKey(d *big.Int) PrivateKey { + return sp.newPrivateKey(d) +} +func (sp secp256k1DSA) PrivKeyFromBytes(pk []byte) (PrivateKey, PublicKey) { + return sp.privKeyFromBytes(pk) +} +func (sp secp256k1DSA) PrivKeyFromScalar(pk []byte) (PrivateKey, PublicKey) { + return sp.privKeyFromScalar(pk) +} +func (sp secp256k1DSA) PrivKeyBytesLen() int { + return sp.privKeyBytesLen() +} + +// Public keys +func (sp secp256k1DSA) NewPublicKey(x *big.Int, y *big.Int) PublicKey { + return sp.newPublicKey(x, y) +} +func (sp secp256k1DSA) ParsePubKey(pubKeyStr []byte) (PublicKey, error) { + return sp.parsePubKey(pubKeyStr) +} +func (sp secp256k1DSA) PubKeyBytesLen() int { + return sp.pubKeyBytesLen() +} +func (sp secp256k1DSA) PubKeyBytesLenUncompressed() int { + return sp.pubKeyBytesLenUncompressed() +} +func (sp secp256k1DSA) PubKeyBytesLenCompressed() int { + return sp.pubKeyBytesLenCompressed() +} + +// Signatures +func (sp secp256k1DSA) NewSignature(r, s *big.Int) Signature { + return sp.newSignature(r, s) +} +func (sp secp256k1DSA) ParseDERSignature(sigStr []byte) (Signature, error) { + return sp.parseDERSignature(sigStr) +} +func (sp secp256k1DSA) ParseSignature(sigStr []byte) (Signature, error) { + return sp.parseSignature(sigStr) +} +func (sp secp256k1DSA) RecoverCompact(signature, hash []byte) (PublicKey, bool, + error) { + return sp.recoverCompact(signature, hash) +} + +// ECDSA +func (sp secp256k1DSA) GenerateKey(rand io.Reader) ([]byte, *big.Int, *big.Int, + error) { + return sp.generateKey(rand) +} +func (sp secp256k1DSA) Sign(priv PrivateKey, hash []byte) (r, s *big.Int, + err error) { + r, s, err = sp.sign(priv, hash) + return +} +func (sp secp256k1DSA) Verify(pub PublicKey, hash []byte, r, s *big.Int) bool { + return sp.verify(pub, hash, r, s) +} + +// Symmetric cipher encryption +func (sp secp256k1DSA) GenerateSharedSecret(privkey []byte, x, y *big.Int) []byte { + return sp.generateSharedSecret(privkey, x, y) +} +func (sp secp256k1DSA) Encrypt(x, y *big.Int, in []byte) ([]byte, + error) { + return sp.encrypt(x, y, in) +} +func (sp secp256k1DSA) Decrypt(privkey []byte, in []byte) ([]byte, + error) { + return sp.decrypt(privkey, in) +} + +// newSecp256k1DSA instatiates a function DSA subsystem over the secp256k1 +// curve. A caveat for the functions below is that they're all routed through +// interfaces, and nil returns from the library itself for interfaces must +// ALWAYS be checked by checking the return value by attempted dereference +// (== nil). +func newSecp256k1DSA() DSA { + var secp DSA = &secp256k1DSA{ + // Constants + getP: func() *big.Int { + return secp256k1Curve.P + }, + getN: func() *big.Int { + return secp256k1Curve.N + }, + + // EC Math + add: func(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + return secp256k1Curve.Add(x1, y1, x2, y2) + }, + isOnCurve: func(x, y *big.Int) bool { + return secp256k1Curve.IsOnCurve(x, y) + }, + scalarMult: func(x, y *big.Int, k []byte) (*big.Int, *big.Int) { + return secp256k1Curve.ScalarMult(x, y, k) + }, + scalarBaseMult: func(k []byte) (*big.Int, *big.Int) { + return secp256k1Curve.ScalarBaseMult(k) + }, + + // Private keys + newPrivateKey: func(d *big.Int) PrivateKey { + if d == nil { + return nil + } + pk := secp256k1.NewPrivateKey(d) + if pk != nil { + return PrivateKey(pk) + } + return nil + }, + privKeyFromBytes: func(pk []byte) (PrivateKey, PublicKey) { + priv, pub := secp256k1.PrivKeyFromBytes(pk) + if priv == nil { + return nil, nil + } + if pub == nil { + return nil, nil + } + tpriv := PrivateKey(priv) + tpub := PublicKey(pub) + return tpriv, tpub + }, + privKeyFromScalar: func(pk []byte) (PrivateKey, PublicKey) { + priv, pub := secp256k1.PrivKeyFromScalar(pk) + if priv == nil { + return nil, nil + } + if pub == nil { + return nil, nil + } + tpriv := PrivateKey(priv) + tpub := PublicKey(pub) + return tpriv, tpub + }, + privKeyBytesLen: func() int { + return secp256k1.PrivKeyBytesLen + }, + + // Public keys + newPublicKey: func(x *big.Int, y *big.Int) PublicKey { + pk := secp256k1.NewPublicKey(x, y) + tpk := PublicKey(pk) + return tpk + }, + parsePubKey: func(pubKeyStr []byte) (PublicKey, error) { + pk, err := secp256k1.ParsePubKey(pubKeyStr) + if err != nil { + return nil, err + } + tpk := PublicKey(pk) + return tpk, err + }, + pubKeyBytesLen: func() int { + return secp256k1.PubKeyBytesLenCompressed + }, + pubKeyBytesLenUncompressed: func() int { + return secp256k1.PubKeyBytesLenUncompressed + }, + pubKeyBytesLenCompressed: func() int { + return secp256k1.PubKeyBytesLenCompressed + }, + + // Signatures + newSignature: func(r *big.Int, s *big.Int) Signature { + sig := secp256k1.NewSignature(r, s) + ts := Signature(sig) + return ts + }, + parseDERSignature: func(sigStr []byte) (Signature, error) { + sig, err := secp256k1.ParseDERSignature(sigStr, secp256k1Curve) + if err != nil { + return nil, err + } + ts := Signature(sig) + return ts, err + }, + parseSignature: func(sigStr []byte) (Signature, error) { + sig, err := secp256k1.ParseSignature(sigStr, secp256k1Curve) + if err != nil { + return nil, err + } + ts := Signature(sig) + return ts, err + }, + recoverCompact: func(signature, hash []byte) (PublicKey, bool, error) { + pk, bl, err := secp256k1.RecoverCompact(signature, + hash) + tpk := PublicKey(pk) + return tpk, bl, err + }, + + // ECDSA + generateKey: func(rand io.Reader) ([]byte, *big.Int, *big.Int, error) { + return secp256k1.GenerateKey(rand) + }, + sign: func(priv PrivateKey, hash []byte) (r, s *big.Int, err error) { + if EcType(priv.GetType()) != ECDSA_Secp256k1 { + return nil, nil, errors.New("wrong type") + } + spriv, ok := priv.(*secp256k1.PrivateKey) + if !ok { + return nil, nil, errors.New("wrong type") + } + sig, err := spriv.Sign(hash) + if sig != nil { + r = sig.GetR() + s = sig.GetS() + } + return + }, + verify: func(pub PublicKey, hash []byte, r, s *big.Int) bool { + spub := secp256k1.NewPublicKey(pub.GetX(), pub.GetY()) + ssig := secp256k1.NewSignature(r, s) + return ssig.Verify(hash, spub) + }, + + // Symmetric cipher encryption + generateSharedSecret: func(privkey []byte, x, y *big.Int) []byte { + sprivkey, _ := secp256k1.PrivKeyFromBytes(privkey) + if sprivkey == nil { + return nil + } + spubkey := secp256k1.NewPublicKey(x, y) + + return secp256k1.GenerateSharedSecret(sprivkey, spubkey) + }, + encrypt: func(x, y *big.Int, in []byte) ([]byte, error) { + spubkey := secp256k1.NewPublicKey(x, y) + + return secp256k1.Encrypt(spubkey, in) + }, + decrypt: func(privkey []byte, in []byte) ([]byte, error) { + sprivkey, _ := secp256k1.PrivKeyFromBytes(privkey) + if sprivkey == nil { + return nil, fmt.Errorf("failure deserializing privkey") + } + + return secp256k1.Decrypt(sprivkey, in) + }, + } + + return secp.(DSA) +} diff --git a/crypto/ecc/secp256k1/README.md b/crypto/ecc/secp256k1/README.md new file mode 100644 index 0000000..cd5d0af --- /dev/null +++ b/crypto/ecc/secp256k1/README.md @@ -0,0 +1,48 @@ +secp256k1 +===== + +[![Build Status](http://img.shields.io/travis/decred/dcrd.svg)](https://travis-ci.org/decred/dcrd) +[![ISC License](http://img.shields.io/badge/license-ISC-blue.svg)](http://copyfree.org) +[![GoDoc](https://img.shields.io/badge/godoc-reference-blue.svg)](http://godoc.org/github.com/decred/dcrd/dcrec/secp256k1) + +Package dcrec implements elliptic curve cryptography needed for working with +Decred (secp256k1 only for now). It is designed so that it may be used with the +standard crypto/ecdsa packages provided with go. A comprehensive suite of test +is provided to ensure proper functionality. Package dcrec was originally based +on work from ThePiachu which is licensed under the same terms as Go, but it has +signficantly diverged since then. The Decred developers original is licensed +under the liberal ISC license. + +Although this package was primarily written for dcrd, it has intentionally been +designed so it can be used as a standalone package for any projects needing to +use secp256k1 elliptic curve cryptography. + +## Installation and Updating + +```bash +$ go get -u github.com/decred/dcrd/dcrec +``` + +## Examples + +* [Sign Message](http://godoc.org/github.com/decred/dcrd/dcrec#example-package--SignMessage) + Demonstrates signing a message with a secp256k1 private key that is first + parsed form raw bytes and serializing the generated signature. + +* [Verify Signature](http://godoc.org/github.com/decred/dcrd/dcrec#example-package--VerifySignature) + Demonstrates verifying a secp256k1 signature against a public key that is + first parsed from raw bytes. The signature is also parsed from raw bytes. + +* [Encryption](http://godoc.org/github.com/decred/dcrd/dcrec#example-package--EncryptMessage) + Demonstrates encrypting a message for a public key that is first parsed from + raw bytes, then decrypting it using the corresponding private key. + +* [Decryption](http://godoc.org/github.com/decred/dcrdy/dcrec#example-package--DecryptMessage) + Demonstrates decrypting a message using a private key that is first parsed + from raw bytes. + +## License + +Package dcrec is licensed under the [copyfree](http://copyfree.org) ISC License +except for dcrec.go and dcrec_test.go which is under the same license as Go. + diff --git a/crypto/ecc/secp256k1/bench_test.go b/crypto/ecc/secp256k1/bench_test.go new file mode 100644 index 0000000..5f0fd0e --- /dev/null +++ b/crypto/ecc/secp256k1/bench_test.go @@ -0,0 +1,124 @@ +// Copyright 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import "testing" + +// BenchmarkAddJacobian benchmarks the secp256k1 curve addJacobian function with +// Z values of 1 so that the associated optimizations are used. +func BenchmarkAddJacobian(b *testing.B) { + b.StopTimer() + x1 := new(fieldVal).SetHex("34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6") + y1 := new(fieldVal).SetHex("0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232") + z1 := new(fieldVal).SetHex("1") + x2 := new(fieldVal).SetHex("34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6") + y2 := new(fieldVal).SetHex("0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232") + z2 := new(fieldVal).SetHex("1") + x3, y3, z3 := new(fieldVal), new(fieldVal), new(fieldVal) + curve := S256() + b.StartTimer() + for i := 0; i < b.N; i++ { + curve.addJacobian(x1, y1, z1, x2, y2, z2, x3, y3, z3) + } +} + +// BenchmarkAddJacobianNotZOne benchmarks the secp256k1 curve addJacobian +// function with Z values other than one so the optimizations associated with +// Z=1 aren't used. +func BenchmarkAddJacobianNotZOne(b *testing.B) { + b.StopTimer() + x1 := new(fieldVal).SetHex("d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718") + y1 := new(fieldVal).SetHex("5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190") + z1 := new(fieldVal).SetHex("2") + x2 := new(fieldVal).SetHex("91abba6a34b7481d922a4bd6a04899d5a686f6cf6da4e66a0cb427fb25c04bd4") + y2 := new(fieldVal).SetHex("03fede65e30b4e7576a2abefc963ddbf9fdccbf791b77c29beadefe49951f7d1") + z2 := new(fieldVal).SetHex("3") + x3, y3, z3 := new(fieldVal), new(fieldVal), new(fieldVal) + curve := S256() + b.StartTimer() + for i := 0; i < b.N; i++ { + curve.addJacobian(x1, y1, z1, x2, y2, z2, x3, y3, z3) + } +} + +// BenchmarkScalarBaseMult benchmarks the secp256k1 curve ScalarBaseMult +// function. +func BenchmarkScalarBaseMult(b *testing.B) { + k := fromHex("d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575") + curve := S256() + for i := 0; i < b.N; i++ { + curve.ScalarBaseMult(k.Bytes()) + } +} + +// BenchmarkScalarBaseMultLarge benchmarks the secp256k1 curve ScalarBaseMult +// function with abnormally large k values. +func BenchmarkScalarBaseMultLarge(b *testing.B) { + k := fromHex("d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c005751111111011111110") + curve := S256() + for i := 0; i < b.N; i++ { + curve.ScalarBaseMult(k.Bytes()) + } +} + +// BenchmarkScalarMult benchmarks the secp256k1 curve ScalarMult function. +func BenchmarkScalarMult(b *testing.B) { + x := fromHex("34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6") + y := fromHex("0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232") + k := fromHex("d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575") + curve := S256() + for i := 0; i < b.N; i++ { + curve.ScalarMult(x, y, k.Bytes()) + } +} + +// BenchmarkNAF benchmarks the NAF function. +func BenchmarkNAF(b *testing.B) { + k := fromHex("d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575") + for i := 0; i < b.N; i++ { + NAF(k.Bytes()) + } +} + +// BenchmarkSigVerify benchmarks how long it takes the secp256k1 curve to +// verify signatures. +func BenchmarkSigVerify(b *testing.B) { + b.StopTimer() + // Randomly generated keypair. + // Private key: 9e0699c91ca1e3b7e3c9ba71eb71c89890872be97576010fe593fbf3fd57e66d + pubKey := PublicKey{ + Curve: S256(), + X: fromHex("d2e670a19c6d753d1a6d8b20bd045df8a08fb162cf508956c31268c6d81ffdab"), + Y: fromHex("ab65528eefbb8057aa85d597258a3fbd481a24633bc9b47a9aa045c91371de52"), + } + + // Double sha256 of []byte{0x01, 0x02, 0x03, 0x04} + msgHash := fromHex("8de472e2399610baaa7f84840547cd409434e31f5d3bd71e4d947f283874f9c0") + sig := Signature{ + R: fromHex("fef45d2892953aa5bbcdb057b5e98b208f1617a7498af7eb765574e29b5d9c2c"), + S: fromHex("d47563f52aac6b04b55de236b7c515eb9311757db01e02cff079c3ca6efb063f"), + } + + if !sig.Verify(msgHash.Bytes(), &pubKey) { + b.Errorf("Signature failed to verify") + return + } + b.StartTimer() + + for i := 0; i < b.N; i++ { + sig.Verify(msgHash.Bytes(), &pubKey) + } +} + +// BenchmarkFieldNormalize benchmarks how long it takes the internal field +// to perform normalization (which includes modular reduction). +func BenchmarkFieldNormalize(b *testing.B) { + // The normalize function is constant time so default value is fine. + f := new(fieldVal) + for i := 0; i < b.N; i++ { + f.Normalize() + } +} diff --git a/crypto/ecc/secp256k1/btcec.go b/crypto/ecc/secp256k1/btcec.go new file mode 100644 index 0000000..c340f68 --- /dev/null +++ b/crypto/ecc/secp256k1/btcec.go @@ -0,0 +1,960 @@ +// Copyright 2010 The Go Authors. All rights reserved. +// Copyright (c) 2015-2016 The Decred developers +// Copyright 2011 ThePiachu. All rights reserved. +// Copyright 2013-2014 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +// References: +// [SECG]: Recommended Elliptic Curve Domain Parameters +// http://www.secg.org/sec2-v2.pdf +// +// [GECC]: Guide to Elliptic Curve Cryptography (Hankerson, Menezes, Vanstone) + +// This package operates, internally, on Jacobian coordinates. For a given +// (x, y) position on the curve, the Jacobian coordinates are (x1, y1, z1) +// where x = x1/z1² and y = y1/z1³. The greatest speedups come when the whole +// calculation can be performed within the transform (as in ScalarMult and +// ScalarBaseMult). But even for Add and Double, it's faster to apply and +// reverse the transform than to operate in affine coordinates. + +import ( + "crypto/elliptic" + "math/big" + "sync" +) + +var ( + // fieldOne is simply the integer 1 in field representation. It is + // used to avoid needing to create it multiple times during the internal + // arithmetic. + fieldOne = new(fieldVal).SetInt(1) +) + +// ecTypeSecp256k1 is the ECDSA type for the chainec interface. +var ecTypeSecp256k1 = 0 + +// KoblitzCurve supports a koblitz curve implementation that fits the ECC Curve +// interface from crypto/elliptic. +type KoblitzCurve struct { + *elliptic.CurveParams + q *big.Int + H int // cofactor of the curve. + + // byteSize is simply the bit size / 8 and is provided for convenience + // since it is calculated repeatedly. + byteSize int + + // bytePoints + bytePoints *[32][256][3]fieldVal + + // The next 6 values are used specifically for endomorphism + // optimizations in ScalarMult. + + // lambda must fulfill lambda^3 = 1 mod N where N is the order of G. + lambda *big.Int + + // beta must fulfill beta^3 = 1 mod P where P is the prime field of the + // curve. + beta *fieldVal + + // See the EndomorphismVectors in gensecp256k1.go to see how these are + // derived. + a1 *big.Int + b1 *big.Int + a2 *big.Int + b2 *big.Int +} + +// Params returns the parameters for the curve. +func (curve *KoblitzCurve) Params() *elliptic.CurveParams { + return curve.CurveParams +} + +// bigAffineToField takes an affine point (x, y) as big integers and converts +// it to an affine point as field values. +func (curve *KoblitzCurve) bigAffineToField(x, y *big.Int) (*fieldVal, *fieldVal) { + x3, y3 := new(fieldVal), new(fieldVal) + x3.SetByteSlice(x.Bytes()) + y3.SetByteSlice(y.Bytes()) + + return x3, y3 +} + +// fieldJacobianToBigAffine takes a Jacobian point (x, y, z) as field values and +// converts it to an affine point as big integers. +func (curve *KoblitzCurve) fieldJacobianToBigAffine(x, y, z *fieldVal) (*big.Int, *big.Int) { + // Inversions are expensive and both point addition and point doubling + // are faster when working with points that have a z value of one. So, + // if the point needs to be converted to affine, go ahead and normalize + // the point itself at the same time as the calculation is the same. + var zInv, tempZ fieldVal + zInv.Set(z).Inverse() // zInv = Z^-1 + tempZ.SquareVal(&zInv) // tempZ = Z^-2 + x.Mul(&tempZ) // X = X/Z^2 (mag: 1) + y.Mul(tempZ.Mul(&zInv)) // Y = Y/Z^3 (mag: 1) + z.SetInt(1) // Z = 1 (mag: 1) + + // Normalize the x and y values. + x.Normalize() + y.Normalize() + + // Convert the field values for the now affine point to big.Ints. + x3, y3 := new(big.Int), new(big.Int) + x3.SetBytes(x.Bytes()[:]) + y3.SetBytes(y.Bytes()[:]) + return x3, y3 +} + +// IsOnCurve returns boolean if the point (x,y) is on the curve. +// Part of the elliptic.Curve interface. This function differs from the +// crypto/elliptic algorithm since a = 0 not -3. +func (curve *KoblitzCurve) IsOnCurve(x, y *big.Int) bool { + // Convert big ints to field values for faster arithmetic. + fx, fy := curve.bigAffineToField(x, y) + + // Elliptic curve equation for secp256k1 is: y^2 = x^3 + 7 + y2 := new(fieldVal).SquareVal(fy).Normalize() + result := new(fieldVal).SquareVal(fx).Mul(fx).AddInt(7).Normalize() + return y2.Equals(result) +} + +// addZ1AndZ2EqualsOne adds two Jacobian points that are already known to have +// z values of 1 and stores the result in (x3, y3, z3). That is to say +// (x1, y1, 1) + (x2, y2, 1) = (x3, y3, z3). It performs faster addition than +// the generic add routine since less arithmetic is needed due to the ability to +// avoid the z value multiplications. +func (curve *KoblitzCurve) addZ1AndZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3 *fieldVal) { + // To compute the point addition efficiently, this implementation splits + // the equation into intermediate elements which are used to minimize + // the number of field multiplications using the method shown at: + // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-mmadd-2007-bl + // + // In particular it performs the calculations using the following: + // H = X2-X1, HH = H^2, I = 4*HH, J = H*I, r = 2*(Y2-Y1), V = X1*I + // X3 = r^2-J-2*V, Y3 = r*(V-X3)-2*Y1*J, Z3 = 2*H + // + // This results in a cost of 4 field multiplications, 2 field squarings, + // 6 field additions, and 5 integer multiplications. + + // When the x coordinates are the same for two points on the curve, the + // y coordinates either must be the same, in which case it is point + // doubling, or they are opposite and the result is the point at + // infinity per the group law for elliptic curve cryptography. + x1.Normalize() + y1.Normalize() + x2.Normalize() + y2.Normalize() + if x1.Equals(x2) { + if y1.Equals(y2) { + // Since x1 == x2 and y1 == y2, point doubling must be + // done, otherwise the addition would end up dividing + // by zero. + curve.doubleJacobian(x1, y1, z1, x3, y3, z3) + return + } + + // Since x1 == x2 and y1 == -y2, the sum is the point at + // infinity per the group law. + x3.SetInt(0) + y3.SetInt(0) + z3.SetInt(0) + return + } + + // Calculate X3, Y3, and Z3 according to the intermediate elements + // breakdown above. + var h, i, j, r, v fieldVal + var negJ, neg2V, negX3 fieldVal + h.Set(x1).Negate(1).Add(x2) // H = X2-X1 (mag: 3) + i.SquareVal(&h).MulInt(4) // I = 4*H^2 (mag: 4) + j.Mul2(&h, &i) // J = H*I (mag: 1) + r.Set(y1).Negate(1).Add(y2).MulInt(2) // r = 2*(Y2-Y1) (mag: 6) + v.Mul2(x1, &i) // V = X1*I (mag: 1) + negJ.Set(&j).Negate(1) // negJ = -J (mag: 2) + neg2V.Set(&v).MulInt(2).Negate(2) // neg2V = -(2*V) (mag: 3) + x3.Set(&r).Square().Add(&negJ).Add(&neg2V) // X3 = r^2-J-2*V (mag: 6) + negX3.Set(x3).Negate(6) // negX3 = -X3 (mag: 7) + j.Mul(y1).MulInt(2).Negate(2) // J = -(2*Y1*J) (mag: 3) + y3.Set(&v).Add(&negX3).Mul(&r).Add(&j) // Y3 = r*(V-X3)-2*Y1*J (mag: 4) + z3.Set(&h).MulInt(2) // Z3 = 2*H (mag: 6) + + // Normalize the resulting field values to a magnitude of 1 as needed. + x3.Normalize() + y3.Normalize() + z3.Normalize() +} + +// addZ1EqualsZ2 adds two Jacobian points that are already known to have the +// same z value and stores the result in (x3, y3, z3). That is to say +// (x1, y1, z1) + (x2, y2, z1) = (x3, y3, z3). It performs faster addition than +// the generic add routine since less arithmetic is needed due to the known +// equivalence. +func (curve *KoblitzCurve) addZ1EqualsZ2(x1, y1, z1, x2, y2, x3, y3, z3 *fieldVal) { + // To compute the point addition efficiently, this implementation splits + // the equation into intermediate elements which are used to minimize + // the number of field multiplications using a slightly modified version + // of the method shown at: + // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-mmadd-2007-bl + // + // In particular it performs the calculations using the following: + // A = X2-X1, B = A^2, C=Y2-Y1, D = C^2, E = X1*B, F = X2*B + // X3 = D-E-F, Y3 = C*(E-X3)-Y1*(F-E), Z3 = Z1*A + // + // This results in a cost of 5 field multiplications, 2 field squarings, + // 9 field additions, and 0 integer multiplications. + + // When the x coordinates are the same for two points on the curve, the + // y coordinates either must be the same, in which case it is point + // doubling, or they are opposite and the result is the point at + // infinity per the group law for elliptic curve cryptography. + x1.Normalize() + y1.Normalize() + x2.Normalize() + y2.Normalize() + if x1.Equals(x2) { + if y1.Equals(y2) { + // Since x1 == x2 and y1 == y2, point doubling must be + // done, otherwise the addition would end up dividing + // by zero. + curve.doubleJacobian(x1, y1, z1, x3, y3, z3) + return + } + + // Since x1 == x2 and y1 == -y2, the sum is the point at + // infinity per the group law. + x3.SetInt(0) + y3.SetInt(0) + z3.SetInt(0) + return + } + + // Calculate X3, Y3, and Z3 according to the intermediate elements + // breakdown above. + var a, b, c, d, e, f fieldVal + var negX1, negY1, negE, negX3 fieldVal + negX1.Set(x1).Negate(1) // negX1 = -X1 (mag: 2) + negY1.Set(y1).Negate(1) // negY1 = -Y1 (mag: 2) + a.Set(&negX1).Add(x2) // A = X2-X1 (mag: 3) + b.SquareVal(&a) // B = A^2 (mag: 1) + c.Set(&negY1).Add(y2) // C = Y2-Y1 (mag: 3) + d.SquareVal(&c) // D = C^2 (mag: 1) + e.Mul2(x1, &b) // E = X1*B (mag: 1) + negE.Set(&e).Negate(1) // negE = -E (mag: 2) + f.Mul2(x2, &b) // F = X2*B (mag: 1) + x3.Add2(&e, &f).Negate(3).Add(&d) // X3 = D-E-F (mag: 5) + negX3.Set(x3).Negate(5).Normalize() // negX3 = -X3 (mag: 1) + y3.Set(y1).Mul(f.Add(&negE)).Negate(3) // Y3 = -(Y1*(F-E)) (mag: 4) + y3.Add(e.Add(&negX3).Mul(&c)) // Y3 = C*(E-X3)+Y3 (mag: 5) + z3.Mul2(z1, &a) // Z3 = Z1*A (mag: 1) + + // Normalize the resulting field values to a magnitude of 1 as needed. + x3.Normalize() + y3.Normalize() +} + +// addZ2EqualsOne adds two Jacobian points when the second point is already +// known to have a z value of 1 (and the z value for the first point is not 1) +// and stores the result in (x3, y3, z3). That is to say (x1, y1, z1) + +// (x2, y2, 1) = (x3, y3, z3). It performs faster addition than the generic +// add routine since less arithmetic is needed due to the ability to avoid +// multiplications by the second point's z value. +func (curve *KoblitzCurve) addZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3 *fieldVal) { + // To compute the point addition efficiently, this implementation splits + // the equation into intermediate elements which are used to minimize + // the number of field multiplications using the method shown at: + // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-madd-2007-bl + // + // In particular it performs the calculations using the following: + // Z1Z1 = Z1^2, U2 = X2*Z1Z1, S2 = Y2*Z1*Z1Z1, H = U2-X1, HH = H^2, + // I = 4*HH, J = H*I, r = 2*(S2-Y1), V = X1*I + // X3 = r^2-J-2*V, Y3 = r*(V-X3)-2*Y1*J, Z3 = (Z1+H)^2-Z1Z1-HH + // + // This results in a cost of 7 field multiplications, 4 field squarings, + // 9 field additions, and 4 integer multiplications. + + // When the x coordinates are the same for two points on the curve, the + // y coordinates either must be the same, in which case it is point + // doubling, or they are opposite and the result is the point at + // infinity per the group law for elliptic curve cryptography. Since + // any number of Jacobian coordinates can represent the same affine + // point, the x and y values need to be converted to like terms. Due to + // the assumption made for this function that the second point has a z + // value of 1 (z2=1), the first point is already "converted". + var z1z1, u2, s2 fieldVal + x1.Normalize() + y1.Normalize() + z1z1.SquareVal(z1) // Z1Z1 = Z1^2 (mag: 1) + u2.Set(x2).Mul(&z1z1).Normalize() // U2 = X2*Z1Z1 (mag: 1) + s2.Set(y2).Mul(&z1z1).Mul(z1).Normalize() // S2 = Y2*Z1*Z1Z1 (mag: 1) + if x1.Equals(&u2) { + if y1.Equals(&s2) { + // Since x1 == x2 and y1 == y2, point doubling must be + // done, otherwise the addition would end up dividing + // by zero. + curve.doubleJacobian(x1, y1, z1, x3, y3, z3) + return + } + + // Since x1 == x2 and y1 == -y2, the sum is the point at + // infinity per the group law. + x3.SetInt(0) + y3.SetInt(0) + z3.SetInt(0) + return + } + + // Calculate X3, Y3, and Z3 according to the intermediate elements + // breakdown above. + var h, hh, i, j, r, rr, v fieldVal + var negX1, negY1, negX3 fieldVal + negX1.Set(x1).Negate(1) // negX1 = -X1 (mag: 2) + h.Add2(&u2, &negX1) // H = U2-X1 (mag: 3) + hh.SquareVal(&h) // HH = H^2 (mag: 1) + i.Set(&hh).MulInt(4) // I = 4 * HH (mag: 4) + j.Mul2(&h, &i) // J = H*I (mag: 1) + negY1.Set(y1).Negate(1) // negY1 = -Y1 (mag: 2) + r.Set(&s2).Add(&negY1).MulInt(2) // r = 2*(S2-Y1) (mag: 6) + rr.SquareVal(&r) // rr = r^2 (mag: 1) + v.Mul2(x1, &i) // V = X1*I (mag: 1) + x3.Set(&v).MulInt(2).Add(&j).Negate(3) // X3 = -(J+2*V) (mag: 4) + x3.Add(&rr) // X3 = r^2+X3 (mag: 5) + negX3.Set(x3).Negate(5) // negX3 = -X3 (mag: 6) + y3.Set(y1).Mul(&j).MulInt(2).Negate(2) // Y3 = -(2*Y1*J) (mag: 3) + y3.Add(v.Add(&negX3).Mul(&r)) // Y3 = r*(V-X3)+Y3 (mag: 4) + z3.Add2(z1, &h).Square() // Z3 = (Z1+H)^2 (mag: 1) + z3.Add(z1z1.Add(&hh).Negate(2)) // Z3 = Z3-(Z1Z1+HH) (mag: 4) + + // Normalize the resulting field values to a magnitude of 1 as needed. + x3.Normalize() + y3.Normalize() + z3.Normalize() +} + +// addGeneric adds two Jacobian points (x1, y1, z1) and (x2, y2, z2) without any +// assumptions about the z values of the two points and stores the result in +// (x3, y3, z3). That is to say (x1, y1, z1) + (x2, y2, z2) = (x3, y3, z3). It +// is the slowest of the add routines due to requiring the most arithmetic. +func (curve *KoblitzCurve) addGeneric(x1, y1, z1, x2, y2, z2, x3, y3, z3 *fieldVal) { + // To compute the point addition efficiently, this implementation splits + // the equation into intermediate elements which are used to minimize + // the number of field multiplications using the method shown at: + // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#addition-add-2007-bl + // + // In particular it performs the calculations using the following: + // Z1Z1 = Z1^2, Z2Z2 = Z2^2, U1 = X1*Z2Z2, U2 = X2*Z1Z1, S1 = Y1*Z2*Z2Z2 + // S2 = Y2*Z1*Z1Z1, H = U2-U1, I = (2*H)^2, J = H*I, r = 2*(S2-S1) + // V = U1*I + // X3 = r^2-J-2*V, Y3 = r*(V-X3)-2*S1*J, Z3 = ((Z1+Z2)^2-Z1Z1-Z2Z2)*H + // + // This results in a cost of 11 field multiplications, 5 field squarings, + // 9 field additions, and 4 integer multiplications. + + // When the x coordinates are the same for two points on the curve, the + // y coordinates either must be the same, in which case it is point + // doubling, or they are opposite and the result is the point at + // infinity. Since any number of Jacobian coordinates can represent the + // same affine point, the x and y values need to be converted to like + // terms. + var z1z1, z2z2, u1, u2, s1, s2 fieldVal + z1z1.SquareVal(z1) // Z1Z1 = Z1^2 (mag: 1) + z2z2.SquareVal(z2) // Z2Z2 = Z2^2 (mag: 1) + u1.Set(x1).Mul(&z2z2).Normalize() // U1 = X1*Z2Z2 (mag: 1) + u2.Set(x2).Mul(&z1z1).Normalize() // U2 = X2*Z1Z1 (mag: 1) + s1.Set(y1).Mul(&z2z2).Mul(z2).Normalize() // S1 = Y1*Z2*Z2Z2 (mag: 1) + s2.Set(y2).Mul(&z1z1).Mul(z1).Normalize() // S2 = Y2*Z1*Z1Z1 (mag: 1) + if u1.Equals(&u2) { + if s1.Equals(&s2) { + // Since x1 == x2 and y1 == y2, point doubling must be + // done, otherwise the addition would end up dividing + // by zero. + curve.doubleJacobian(x1, y1, z1, x3, y3, z3) + return + } + + // Since x1 == x2 and y1 == -y2, the sum is the point at + // infinity per the group law. + x3.SetInt(0) + y3.SetInt(0) + z3.SetInt(0) + return + } + + // Calculate X3, Y3, and Z3 according to the intermediate elements + // breakdown above. + var h, i, j, r, rr, v fieldVal + var negU1, negS1, negX3 fieldVal + negU1.Set(&u1).Negate(1) // negU1 = -U1 (mag: 2) + h.Add2(&u2, &negU1) // H = U2-U1 (mag: 3) + i.Set(&h).MulInt(2).Square() // I = (2*H)^2 (mag: 2) + j.Mul2(&h, &i) // J = H*I (mag: 1) + negS1.Set(&s1).Negate(1) // negS1 = -S1 (mag: 2) + r.Set(&s2).Add(&negS1).MulInt(2) // r = 2*(S2-S1) (mag: 6) + rr.SquareVal(&r) // rr = r^2 (mag: 1) + v.Mul2(&u1, &i) // V = U1*I (mag: 1) + x3.Set(&v).MulInt(2).Add(&j).Negate(3) // X3 = -(J+2*V) (mag: 4) + x3.Add(&rr) // X3 = r^2+X3 (mag: 5) + negX3.Set(x3).Negate(5) // negX3 = -X3 (mag: 6) + y3.Mul2(&s1, &j).MulInt(2).Negate(2) // Y3 = -(2*S1*J) (mag: 3) + y3.Add(v.Add(&negX3).Mul(&r)) // Y3 = r*(V-X3)+Y3 (mag: 4) + z3.Add2(z1, z2).Square() // Z3 = (Z1+Z2)^2 (mag: 1) + z3.Add(z1z1.Add(&z2z2).Negate(2)) // Z3 = Z3-(Z1Z1+Z2Z2) (mag: 4) + z3.Mul(&h) // Z3 = Z3*H (mag: 1) + + // Normalize the resulting field values to a magnitude of 1 as needed. + x3.Normalize() + y3.Normalize() +} + +// addJacobian adds the passed Jacobian points (x1, y1, z1) and (x2, y2, z2) +// together and stores the result in (x3, y3, z3). +func (curve *KoblitzCurve) addJacobian(x1, y1, z1, x2, y2, z2, x3, y3, z3 *fieldVal) { + // A point at infinity is the identity according to the group law for + // elliptic curve cryptography. Thus, ∞ + P = P and P + ∞ = P. + if (x1.IsZero() && y1.IsZero()) || z1.IsZero() { + x3.Set(x2) + y3.Set(y2) + z3.Set(z2) + return + } + if (x2.IsZero() && y2.IsZero()) || z2.IsZero() { + x3.Set(x1) + y3.Set(y1) + z3.Set(z1) + return + } + + // Faster point addition can be achieved when certain assumptions are + // met. For example, when both points have the same z value, arithmetic + // on the z values can be avoided. This section thus checks for these + // conditions and calls an appropriate add function which is accelerated + // by using those assumptions. + z1.Normalize() + z2.Normalize() + isZ1One := z1.Equals(fieldOne) + isZ2One := z2.Equals(fieldOne) + switch { + case isZ1One && isZ2One: + curve.addZ1AndZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3) + return + case z1.Equals(z2): + curve.addZ1EqualsZ2(x1, y1, z1, x2, y2, x3, y3, z3) + return + case isZ2One: + curve.addZ2EqualsOne(x1, y1, z1, x2, y2, x3, y3, z3) + return + } + + // None of the above assumptions are true, so fall back to generic + // point addition. + curve.addGeneric(x1, y1, z1, x2, y2, z2, x3, y3, z3) +} + +// Add returns the sum of (x1,y1) and (x2,y2). Part of the elliptic.Curve +// interface. +func (curve *KoblitzCurve) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + // A point at infinity is the identity according to the group law for + // elliptic curve cryptography. Thus, ∞ + P = P and P + ∞ = P. + if x1.Sign() == 0 && y1.Sign() == 0 { + return x2, y2 + } + if x2.Sign() == 0 && y2.Sign() == 0 { + return x1, y1 + } + + // Convert the affine coordinates from big integers to field values + // and do the point addition in Jacobian projective space. + fx1, fy1 := curve.bigAffineToField(x1, y1) + fx2, fy2 := curve.bigAffineToField(x2, y2) + fx3, fy3, fz3 := new(fieldVal), new(fieldVal), new(fieldVal) + fOne := new(fieldVal).SetInt(1) + curve.addJacobian(fx1, fy1, fOne, fx2, fy2, fOne, fx3, fy3, fz3) + + // Convert the Jacobian coordinate field values back to affine big + // integers. + return curve.fieldJacobianToBigAffine(fx3, fy3, fz3) +} + +// doubleZ1EqualsOne performs point doubling on the passed Jacobian point +// when the point is already known to have a z value of 1 and stores +// the result in (x3, y3, z3). That is to say (x3, y3, z3) = 2*(x1, y1, 1). It +// performs faster point doubling than the generic routine since less arithmetic +// is needed due to the ability to avoid multiplication by the z value. +func (curve *KoblitzCurve) doubleZ1EqualsOne(x1, y1, x3, y3, z3 *fieldVal) { + // This function uses the assumptions that z1 is 1, thus the point + // doubling formulas reduce to: + // + // X3 = (3*X1^2)^2 - 8*X1*Y1^2 + // Y3 = (3*X1^2)*(4*X1*Y1^2 - X3) - 8*Y1^4 + // Z3 = 2*Y1 + // + // To compute the above efficiently, this implementation splits the + // equation into intermediate elements which are used to minimize the + // number of field multiplications in favor of field squarings which + // are roughly 35% faster than field multiplications with the current + // implementation at the time this was written. + // + // This uses a slightly modified version of the method shown at: + // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-mdbl-2007-bl + // + // In particular it performs the calculations using the following: + // A = X1^2, B = Y1^2, C = B^2, D = 2*((X1+B)^2-A-C) + // E = 3*A, F = E^2, X3 = F-2*D, Y3 = E*(D-X3)-8*C + // Z3 = 2*Y1 + // + // This results in a cost of 1 field multiplication, 5 field squarings, + // 6 field additions, and 5 integer multiplications. + var a, b, c, d, e, f fieldVal + z3.Set(y1).MulInt(2) // Z3 = 2*Y1 (mag: 2) + a.SquareVal(x1) // A = X1^2 (mag: 1) + b.SquareVal(y1) // B = Y1^2 (mag: 1) + c.SquareVal(&b) // C = B^2 (mag: 1) + b.Add(x1).Square() // B = (X1+B)^2 (mag: 1) + d.Set(&a).Add(&c).Negate(2) // D = -(A+C) (mag: 3) + d.Add(&b).MulInt(2) // D = 2*(B+D)(mag: 8) + e.Set(&a).MulInt(3) // E = 3*A (mag: 3) + f.SquareVal(&e) // F = E^2 (mag: 1) + x3.Set(&d).MulInt(2).Negate(16) // X3 = -(2*D) (mag: 17) + x3.Add(&f) // X3 = F+X3 (mag: 18) + f.Set(x3).Negate(18).Add(&d).Normalize() // F = D-X3 (mag: 1) + y3.Set(&c).MulInt(8).Negate(8) // Y3 = -(8*C) (mag: 9) + y3.Add(f.Mul(&e)) // Y3 = E*F+Y3 (mag: 10) + + // Normalize the field values back to a magnitude of 1. + x3.Normalize() + y3.Normalize() + z3.Normalize() +} + +// doubleGeneric performs point doubling on the passed Jacobian point without +// any assumptions about the z value and stores the result in (x3, y3, z3). +// That is to say (x3, y3, z3) = 2*(x1, y1, z1). It is the slowest of the point +// doubling routines due to requiring the most arithmetic. +func (curve *KoblitzCurve) doubleGeneric(x1, y1, z1, x3, y3, z3 *fieldVal) { + // Point doubling formula for Jacobian coordinates for the secp256k1 + // curve: + // X3 = (3*X1^2)^2 - 8*X1*Y1^2 + // Y3 = (3*X1^2)*(4*X1*Y1^2 - X3) - 8*Y1^4 + // Z3 = 2*Y1*Z1 + // + // To compute the above efficiently, this implementation splits the + // equation into intermediate elements which are used to minimize the + // number of field multiplications in favor of field squarings which + // are roughly 35% faster than field multiplications with the current + // implementation at the time this was written. + // + // This uses a slightly modified version of the method shown at: + // http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l + // + // In particular it performs the calculations using the following: + // A = X1^2, B = Y1^2, C = B^2, D = 2*((X1+B)^2-A-C) + // E = 3*A, F = E^2, X3 = F-2*D, Y3 = E*(D-X3)-8*C + // Z3 = 2*Y1*Z1 + // + // This results in a cost of 1 field multiplication, 5 field squarings, + // 6 field additions, and 5 integer multiplications. + var a, b, c, d, e, f fieldVal + z3.Mul2(y1, z1).MulInt(2) // Z3 = 2*Y1*Z1 (mag: 2) + a.SquareVal(x1) // A = X1^2 (mag: 1) + b.SquareVal(y1) // B = Y1^2 (mag: 1) + c.SquareVal(&b) // C = B^2 (mag: 1) + b.Add(x1).Square() // B = (X1+B)^2 (mag: 1) + d.Set(&a).Add(&c).Negate(2) // D = -(A+C) (mag: 3) + d.Add(&b).MulInt(2) // D = 2*(B+D)(mag: 8) + e.Set(&a).MulInt(3) // E = 3*A (mag: 3) + f.SquareVal(&e) // F = E^2 (mag: 1) + x3.Set(&d).MulInt(2).Negate(16) // X3 = -(2*D) (mag: 17) + x3.Add(&f) // X3 = F+X3 (mag: 18) + f.Set(x3).Negate(18).Add(&d).Normalize() // F = D-X3 (mag: 1) + y3.Set(&c).MulInt(8).Negate(8) // Y3 = -(8*C) (mag: 9) + y3.Add(f.Mul(&e)) // Y3 = E*F+Y3 (mag: 10) + + // Normalize the field values back to a magnitude of 1. + x3.Normalize() + y3.Normalize() + z3.Normalize() +} + +// doubleJacobian doubles the passed Jacobian point (x1, y1, z1) and stores the +// result in (x3, y3, z3). +func (curve *KoblitzCurve) doubleJacobian(x1, y1, z1, x3, y3, z3 *fieldVal) { + // Doubling a point at infinity is still infinity. + if y1.IsZero() || z1.IsZero() { + x3.SetInt(0) + y3.SetInt(0) + z3.SetInt(0) + return + } + + // Slightly faster point doubling can be achieved when the z value is 1 + // by avoiding the multiplication on the z value. This section calls + // a point doubling function which is accelerated by using that + // assumption when possible. + if z1.Normalize().Equals(fieldOne) { + curve.doubleZ1EqualsOne(x1, y1, x3, y3, z3) + return + } + + // Fall back to generic point doubling which works with arbitrary z + // values. + curve.doubleGeneric(x1, y1, z1, x3, y3, z3) +} + +// Double returns 2*(x1,y1). Part of the elliptic.Curve interface. +func (curve *KoblitzCurve) Double(x1, y1 *big.Int) (*big.Int, *big.Int) { + if y1.Sign() == 0 { + return new(big.Int), new(big.Int) + } + + // Convert the affine coordinates from big integers to field values + // and do the point doubling in Jacobian projective space. + fx1, fy1 := curve.bigAffineToField(x1, y1) + fx3, fy3, fz3 := new(fieldVal), new(fieldVal), new(fieldVal) + fOne := new(fieldVal).SetInt(1) + curve.doubleJacobian(fx1, fy1, fOne, fx3, fy3, fz3) + + // Convert the Jacobian coordinate field values back to affine big + // integers. + return curve.fieldJacobianToBigAffine(fx3, fy3, fz3) +} + +// splitK returns a balanced length-two representation of k and their signs. +// This is algorithm 3.74 from [GECC]. +// +// One thing of note about this algorithm is that no matter what c1 and c2 are, +// the final equation of k = k1 + k2 * lambda (mod n) will hold. This is +// provable mathematically due to how a1/b1/a2/b2 are computed. +// +// c1 and c2 are chosen to minimize the max(k1,k2). +func (curve *KoblitzCurve) splitK(k []byte) ([]byte, []byte, int, int) { + // All math here is done with big.Int, which is slow. + // At some point, it might be useful to write something similar to + // fieldVal but for N instead of P as the prime field if this ends up + // being a bottleneck. + bigIntK := new(big.Int) + c1, c2 := new(big.Int), new(big.Int) + tmp1, tmp2 := new(big.Int), new(big.Int) + k1, k2 := new(big.Int), new(big.Int) + + bigIntK.SetBytes(k) + // c1 = round(b2 * k / n) from step 4. + // Rounding isn't really necessary and costs too much, hence skipped + c1.Mul(curve.b2, bigIntK) + c1.Div(c1, curve.N) + // c2 = round(b1 * k / n) from step 4 (sign reversed to optimize one step) + // Rounding isn't really necessary and costs too much, hence skipped + c2.Mul(curve.b1, bigIntK) + c2.Div(c2, curve.N) + // k1 = k - c1 * a1 - c2 * a2 from step 5 (note c2's sign is reversed) + tmp1.Mul(c1, curve.a1) + tmp2.Mul(c2, curve.a2) + k1.Sub(bigIntK, tmp1) + k1.Add(k1, tmp2) + // k2 = - c1 * b1 - c2 * b2 from step 5 (note c2's sign is reversed) + tmp1.Mul(c1, curve.b1) + tmp2.Mul(c2, curve.b2) + k2.Sub(tmp2, tmp1) + + // Note Bytes() throws out the sign of k1 and k2. This matters + // since k1 and/or k2 can be negative. Hence, we pass that + // back separately. + return k1.Bytes(), k2.Bytes(), k1.Sign(), k2.Sign() +} + +// moduloReduce reduces k from more than 32 bytes to 32 bytes and under. This +// is done by doing a simple modulo curve.N. We can do this since G^N = 1 and +// thus any other valid point on the elliptic curve has the same order. +func (curve *KoblitzCurve) moduloReduce(k []byte) []byte { + // Since the order of G is curve.N, we can use a much smaller number + // by doing modulo curve.N + if len(k) > curve.byteSize { + // Reduce k by performing modulo curve.N. + tmpK := new(big.Int).SetBytes(k) + tmpK.Mod(tmpK, curve.N) + return tmpK.Bytes() + } + + return k +} + +// NAF takes a positive integer k and returns the Non-Adjacent Form (NAF) as two +// byte slices. The first is where 1s will be. The second is where -1s will +// be. NAF is convenient in that on average, only 1/3rd of its values are +// non-zero. This is algorithm 3.30 from [GECC]. +// +// Essentially, this makes it possible to minimize the number of operations +// since the resulting ints returned will be at least 50% 0s. +func NAF(k []byte) ([]byte, []byte) { + // The essence of this algorithm is that whenever we have consecutive 1s + // in the binary, we want to put a -1 in the lowest bit and get a bunch + // of 0s up to the highest bit of consecutive 1s. This is due to this + // identity: + // 2^n + 2^(n-1) + 2^(n-2) + ... + 2^(n-k) = 2^(n+1) - 2^(n-k) + // + // The algorithm thus may need to go 1 more bit than the length of the + // bits we actually have, hence bits being 1 bit longer than was + // necessary. Since we need to know whether adding will cause a carry, + // we go from right-to-left in this addition. + var carry, curIsOne, nextIsOne bool + // these default to zero + retPos := make([]byte, len(k)+1) + retNeg := make([]byte, len(k)+1) + for i := len(k) - 1; i >= 0; i-- { + curByte := k[i] + for j := uint(0); j < 8; j++ { + curIsOne = curByte&1 == 1 + if j == 7 { + if i == 0 { + nextIsOne = false + } else { + nextIsOne = k[i-1]&1 == 1 + } + } else { + nextIsOne = curByte&2 == 2 + } + if carry { + if curIsOne { + // This bit is 1, so continue to carry + // and don't need to do anything. + } else { + // We've hit a 0 after some number of + // 1s. + if nextIsOne { + // Start carrying again since + // a new sequence of 1s is + // starting. + retNeg[i+1] += 1 << j + } else { + // Stop carrying since 1s have + // stopped. + carry = false + retPos[i+1] += 1 << j + } + } + } else if curIsOne { + if nextIsOne { + // If this is the start of at least 2 + // consecutive 1s, set the current one + // to -1 and start carrying. + retNeg[i+1] += 1 << j + carry = true + } else { + // This is a singleton, not consecutive + // 1s. + retPos[i+1] += 1 << j + } + } + curByte >>= 1 + } + } + if carry { + retPos[0] = 1 + return retPos, retNeg + } + return retPos[1:], retNeg[1:] +} + +// ScalarMult returns k*(Bx, By) where k is a big endian integer. +// Part of the elliptic.Curve interface. +func (curve *KoblitzCurve) ScalarMult(Bx, By *big.Int, k []byte) (*big.Int, *big.Int) { + // Point Q = ∞ (point at infinity). + qx, qy, qz := new(fieldVal), new(fieldVal), new(fieldVal) + + // Decompose K into k1 and k2 in order to halve the number of EC ops. + // See Algorithm 3.74 in [GECC]. + k1, k2, signK1, signK2 := curve.splitK(curve.moduloReduce(k)) + + // The main equation here to remember is: + // k * P = k1 * P + k2 * ϕ(P) + // + // P1 below is P in the equation, P2 below is ϕ(P) in the equation + p1x, p1y := curve.bigAffineToField(Bx, By) + p1yNeg := new(fieldVal).NegateVal(p1y, 1) + p1z := new(fieldVal).SetInt(1) + + // NOTE: ϕ(x,y) = (βx,y). The Jacobian z coordinate is 1, so this math + // goes through. + p2x := new(fieldVal).Mul2(p1x, curve.beta) + p2y := new(fieldVal).Set(p1y) + p2yNeg := new(fieldVal).NegateVal(p2y, 1) + p2z := new(fieldVal).SetInt(1) + + // Flip the positive and negative values of the points as needed + // depending on the signs of k1 and k2. As mentioned in the equation + // above, each of k1 and k2 are multiplied by the respective point. + // Since -k * P is the same thing as k * -P, and the group law for + // elliptic curves states that P(x, y) = -P(x, -y), it's faster and + // simplifies the code to just make the point negative. + if signK1 == -1 { + p1y, p1yNeg = p1yNeg, p1y + } + if signK2 == -1 { + p2y, p2yNeg = p2yNeg, p2y + } + + // NAF versions of k1 and k2 should have a lot more zeros. + // + // The Pos version of the bytes contain the +1s and the Neg versions + // contain the -1s. + k1PosNAF, k1NegNAF := NAF(k1) + k2PosNAF, k2NegNAF := NAF(k2) + k1Len := len(k1PosNAF) + k2Len := len(k2PosNAF) + + m := k1Len + if m < k2Len { + m = k2Len + } + + // Add left-to-right using the NAF optimization. See algorithm 3.77 + // from [GECC]. This should be faster overall since there will be a lot + // more instances of 0, hence reducing the number of Jacobian additions + // at the cost of 1 possible extra doubling. + var k1BytePos, k1ByteNeg, k2BytePos, k2ByteNeg byte + for i := 0; i < m; i++ { + // Since we're going left-to-right, pad the front with 0s. + if i < m-k1Len { + k1BytePos = 0 + k1ByteNeg = 0 + } else { + k1BytePos = k1PosNAF[i-(m-k1Len)] + k1ByteNeg = k1NegNAF[i-(m-k1Len)] + } + if i < m-k2Len { + k2BytePos = 0 + k2ByteNeg = 0 + } else { + k2BytePos = k2PosNAF[i-(m-k2Len)] + k2ByteNeg = k2NegNAF[i-(m-k2Len)] + } + + for j := 7; j >= 0; j-- { + // Q = 2 * Q + curve.doubleJacobian(qx, qy, qz, qx, qy, qz) + + if k1BytePos&0x80 == 0x80 { + curve.addJacobian(qx, qy, qz, p1x, p1y, p1z, + qx, qy, qz) + } else if k1ByteNeg&0x80 == 0x80 { + curve.addJacobian(qx, qy, qz, p1x, p1yNeg, p1z, + qx, qy, qz) + } + + if k2BytePos&0x80 == 0x80 { + curve.addJacobian(qx, qy, qz, p2x, p2y, p2z, + qx, qy, qz) + } else if k2ByteNeg&0x80 == 0x80 { + curve.addJacobian(qx, qy, qz, p2x, p2yNeg, p2z, + qx, qy, qz) + } + k1BytePos <<= 1 + k1ByteNeg <<= 1 + k2BytePos <<= 1 + k2ByteNeg <<= 1 + } + } + + // Convert the Jacobian coordinate field values back to affine big.Ints. + return curve.fieldJacobianToBigAffine(qx, qy, qz) +} + +// ScalarBaseMult returns k*G where G is the base point of the group and k is a +// big endian integer. +// Part of the elliptic.Curve interface. +func (curve *KoblitzCurve) ScalarBaseMult(k []byte) (*big.Int, *big.Int) { + newK := curve.moduloReduce(k) + diff := len(curve.bytePoints) - len(newK) + + // Point Q = ∞ (point at infinity). + qx, qy, qz := new(fieldVal), new(fieldVal), new(fieldVal) + + // curve.bytePoints has all 256 byte points for each 8-bit window. The + // strategy is to add up the byte points. This is best understood by + // expressing k in base-256 which it already sort of is. + // Each "digit" in the 8-bit window can be looked up using bytePoints + // and added together. + for i, byteVal := range newK { + p := curve.bytePoints[diff+i][byteVal] + curve.addJacobian(qx, qy, qz, &p[0], &p[1], &p[2], qx, qy, qz) + } + return curve.fieldJacobianToBigAffine(qx, qy, qz) +} + +// QPlus1Div4 returns the Q+1/4 constant for the curve for use in calculating +// square roots via exponention. +func (curve *KoblitzCurve) QPlus1Div4() *big.Int { + return curve.q +} + +var initonce sync.Once +var secp256k1 KoblitzCurve + +func initAll() { + initS256() +} + +// fromHex converts the passed hex string into a big integer pointer and will +// panic is there is an error. This is only provided for the hard-coded +// constants so errors in the source code can bet detected. It will only (and +// must only) be called for initialization purposes. +func fromHex(s string) *big.Int { + r, ok := new(big.Int).SetString(s, 16) + if !ok { + panic("invalid hex in source file: " + s) + } + return r +} + +func initS256() { + // Curve parameters taken from [SECG] section 2.4.1. + secp256k1.CurveParams = new(elliptic.CurveParams) + secp256k1.P = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F") + secp256k1.N = fromHex("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364141") + secp256k1.B = fromHex("0000000000000000000000000000000000000000000000000000000000000007") + secp256k1.Gx = fromHex("79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798") + secp256k1.Gy = fromHex("483ADA7726A3C4655DA4FBFC0E1108A8FD17B448A68554199C47D08FFB10D4B8") + secp256k1.BitSize = 256 + secp256k1.H = 1 + secp256k1.q = new(big.Int).Div(new(big.Int).Add(secp256k1.P, + big.NewInt(1)), big.NewInt(4)) + + // Provided for convenience since this gets computed repeatedly. + secp256k1.byteSize = secp256k1.BitSize / 8 + + // Deserialize and set the pre-computed table used to accelerate scalar + // base multiplication. This is hard-coded data, so any errors are + // panics because it means something is wrong in the source code. + if err := loadS256BytePoints(); err != nil { + panic(err) + } + + // Next 6 constants are from Hal Finney's bitcointalk.org post: + // https://bitcointalk.org/index.php?topic=3238.msg45565#msg45565 + // May he rest in peace. + // + // They have also been independently derived from the code in the + // EndomorphismVectors function in gensecp256k1.go. + secp256k1.lambda = fromHex("5363AD4CC05C30E0A5261C028812645A122E22EA20816678DF02967C1B23BD72") + secp256k1.beta = new(fieldVal).SetHex("7AE96A2B657C07106E64479EAC3434E99CF0497512F58995C1396C28719501EE") + secp256k1.a1 = fromHex("3086D221A7D46BCDE86C90E49284EB15") + secp256k1.b1 = fromHex("-E4437ED6010E88286F547FA90ABFE4C3") + secp256k1.a2 = fromHex("114CA50F7A8E2F3F657C1108D9D44CFD8") + secp256k1.b2 = fromHex("3086D221A7D46BCDE86C90E49284EB15") + + // Alternatively, we can use the parameters below, however, they seem + // to be about 8% slower. + // secp256k1.lambda = fromHex("AC9C52B33FA3CF1F5AD9E3FD77ED9BA4A880B9FC8EC739C2E0CFC810B51283CE") + // secp256k1.beta = new(fieldVal).SetHex("851695D49A83F8EF919BB86153CBCB16630FB68AED0A766A3EC693D68E6AFA40") + // secp256k1.a1 = fromHex("E4437ED6010E88286F547FA90ABFE4C3") + // secp256k1.b1 = fromHex("-3086D221A7D46BCDE86C90E49284EB15") + // secp256k1.a2 = fromHex("3086D221A7D46BCDE86C90E49284EB15") + // secp256k1.b2 = fromHex("114CA50F7A8E2F3F657C1108D9D44CFD8") +} + +// S256 returns a Curve which implements secp256k1. +func S256() *KoblitzCurve { + initonce.Do(initAll) + return &secp256k1 +} diff --git a/crypto/ecc/secp256k1/btcec_test.go b/crypto/ecc/secp256k1/btcec_test.go new file mode 100644 index 0000000..9f422a7 --- /dev/null +++ b/crypto/ecc/secp256k1/btcec_test.go @@ -0,0 +1,890 @@ +// Copyright 2011 The Go Authors. All rights reserved. +// Copyright (c) 2015-2017 The Decred developers +// Copyright 2011 ThePiachu. All rights reserved. +// Copyright 2013-2016 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "crypto/rand" + "fmt" + "math/big" + "testing" +) + +// isJacobianOnS256Curve returns boolean if the point (x,y,z) is on the +// secp256k1 curve. +func isJacobianOnS256Curve(x, y, z *fieldVal) bool { + // Elliptic curve equation for secp256k1 is: y^2 = x^3 + 7 + // In Jacobian coordinates, Y = y/z^3 and X = x/z^2 + // Thus: + // (y/z^3)^2 = (x/z^2)^3 + 7 + // y^2/z^6 = x^3/z^6 + 7 + // y^2 = x^3 + 7*z^6 + var y2, z2, x3, result fieldVal + y2.SquareVal(y).Normalize() + z2.SquareVal(z) + x3.SquareVal(x).Mul(x) + result.SquareVal(&z2).Mul(&z2).MulInt(7).Add(&x3).Normalize() + return y2.Equals(&result) +} + +// TestAddJacobian tests addition of points projected in Jacobian coordinates. +func TestAddJacobian(t *testing.T) { + tests := []struct { + x1, y1, z1 string // Coordinates (in hex) of first point to add + x2, y2, z2 string // Coordinates (in hex) of second point to add + x3, y3, z3 string // Coordinates (in hex) of expected point + }{ + // Addition with a point at infinity (left hand side). + // ∞ + P = P + { + "0", + "0", + "0", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "1", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "1", + }, + // Addition with a point at infinity (right hand side). + // P + ∞ = P + { + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "1", + "0", + "0", + "0", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "1", + }, + // Addition with z1=z2=1 different x values. + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "1", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "1", + "0cfbc7da1e569b334460788faae0286e68b3af7379d5504efc25e4dba16e46a6", + "e205f79361bbe0346b037b4010985dbf4f9e1e955e7d0d14aca876bfa79aad87", + "44a5646b446e3877a648d6d381370d9ef55a83b666ebce9df1b1d7d65b817b2f", + }, + // Addition with z1=z2=1 same x opposite y. + // P(x, y, z) + P(x, -y, z) = infinity + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "1", + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "f48e156428cf0276dc092da5856e182288d7569f97934a56fe44be60f0d359fd", + "1", + "0", + "0", + "0", + }, + // Addition with z1=z2=1 same point. + // P(x, y, z) + P(x, y, z) = 2P + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "1", + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "1", + "ec9f153b13ee7bd915882859635ea9730bf0dc7611b2c7b0e37ee64f87c50c27", + "b082b53702c466dcf6e984a35671756c506c67c2fcb8adb408c44dd0755c8f2a", + "16e3d537ae61fb1247eda4b4f523cfbaee5152c0d0d96b520376833c1e594464", + }, + + // Addition with z1=z2 (!=1) different x values. + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "5d2fe112c21891d440f65a98473cb626111f8a234d2cd82f22172e369f002147", + "98e3386a0a622a35c4561ffb32308d8e1c6758e10ebb1b4ebd3d04b4eb0ecbe8", + "2", + "cfbc7da1e569b334460788faae0286e68b3af7379d5504efc25e4dba16e46a60", + "817de4d86ef80d1ac0ded00426176fd3e787a5579f43452b2a1db021e6ac3778", + "129591ad11b8e1de99235b4e04dc367bd56a0ed99baf3a77c6c75f5a6e05f08d", + }, + // Addition with z1=z2 (!=1) same x opposite y. + // P(x, y, z) + P(x, -y, z) = infinity + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "a470ab21467813b6e0496d2c2b70c11446bab4fcbc9a52b7f225f30e869aea9f", + "2", + "0", + "0", + "0", + }, + // Addition with z1=z2 (!=1) same point. + // P(x, y, z) + P(x, y, z) = 2P + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "9f153b13ee7bd915882859635ea9730bf0dc7611b2c7b0e37ee65073c50fabac", + "2b53702c466dcf6e984a35671756c506c67c2fcb8adb408c44dd125dc91cb988", + "6e3d537ae61fb1247eda4b4f523cfbaee5152c0d0d96b520376833c2e5944a11", + }, + + // Addition with z1!=z2 and z2=1 different x values. + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "1", + "3ef1f68795a6ccd1181e23eab80a1b9a2cebdcde755413bf097936eb5b91b4f3", + "0bef26c377c068d606f6802130bb7e9f3c3d2abcfa1a295950ed81133561cb04", + "252b235a2371c3bd3246b69c09b86cf7aad41db3375e74ef8d8ebeb4dc0be11a", + }, + // Addition with z1!=z2 and z2=1 same x opposite y. + // P(x, y, z) + P(x, -y, z) = infinity + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "f48e156428cf0276dc092da5856e182288d7569f97934a56fe44be60f0d359fd", + "1", + "0", + "0", + "0", + }, + // Addition with z1!=z2 and z2=1 same point. + // P(x, y, z) + P(x, y, z) = 2P + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "1", + "9f153b13ee7bd915882859635ea9730bf0dc7611b2c7b0e37ee65073c50fabac", + "2b53702c466dcf6e984a35671756c506c67c2fcb8adb408c44dd125dc91cb988", + "6e3d537ae61fb1247eda4b4f523cfbaee5152c0d0d96b520376833c2e5944a11", + }, + + // Addition with z1!=z2 and z2!=1 different x values. + // P(x, y, z) + P(x, y, z) = 2P + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "91abba6a34b7481d922a4bd6a04899d5a686f6cf6da4e66a0cb427fb25c04bd4", + "03fede65e30b4e7576a2abefc963ddbf9fdccbf791b77c29beadefe49951f7d1", + "3", + "3f07081927fd3f6dadd4476614c89a09eba7f57c1c6c3b01fa2d64eac1eef31e", + "949166e04ebc7fd95a9d77e5dfd88d1492ecffd189792e3944eb2b765e09e031", + "eb8cba81bcffa4f44d75427506737e1f045f21e6d6f65543ee0e1d163540c931", + }, // Addition with z1!=z2 and z2!=1 same x opposite y. + // P(x, y, z) + P(x, -y, z) = infinity + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "dcc3768780c74a0325e2851edad0dc8a566fa61a9e7fc4a34d13dcb509f99bc7", + "cafc41904dd5428934f7d075129c8ba46eb622d4fc88d72cd1401452664add18", + "3", + "0", + "0", + "0", + }, + // Addition with z1!=z2 and z2!=1 same point. + // P(x, y, z) + P(x, y, z) = 2P + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "dcc3768780c74a0325e2851edad0dc8a566fa61a9e7fc4a34d13dcb509f99bc7", + "3503be6fb22abd76cb082f8aed63745b9149dd2b037728d32ebfebac99b51f17", + "3", + "9f153b13ee7bd915882859635ea9730bf0dc7611b2c7b0e37ee65073c50fabac", + "2b53702c466dcf6e984a35671756c506c67c2fcb8adb408c44dd125dc91cb988", + "6e3d537ae61fb1247eda4b4f523cfbaee5152c0d0d96b520376833c2e5944a11", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + // Convert hex to field values. + x1 := new(fieldVal).SetHex(test.x1) + y1 := new(fieldVal).SetHex(test.y1) + z1 := new(fieldVal).SetHex(test.z1) + x2 := new(fieldVal).SetHex(test.x2) + y2 := new(fieldVal).SetHex(test.y2) + z2 := new(fieldVal).SetHex(test.z2) + x3 := new(fieldVal).SetHex(test.x3) + y3 := new(fieldVal).SetHex(test.y3) + z3 := new(fieldVal).SetHex(test.z3) + + // Ensure the test data is using points that are actually on + // the curve (or the point at infinity). + if !z1.IsZero() && !isJacobianOnS256Curve(x1, y1, z1) { + t.Errorf("#%d first point is not on the curve -- "+ + "invalid test data", i) + continue + } + if !z2.IsZero() && !isJacobianOnS256Curve(x2, y2, z2) { + t.Errorf("#%d second point is not on the curve -- "+ + "invalid test data", i) + continue + } + if !z3.IsZero() && !isJacobianOnS256Curve(x3, y3, z3) { + t.Errorf("#%d expected point is not on the curve -- "+ + "invalid test data", i) + continue + } + + // Add the two points. + rx, ry, rz := new(fieldVal), new(fieldVal), new(fieldVal) + S256().addJacobian(x1, y1, z1, x2, y2, z2, rx, ry, rz) + + // Ensure result matches expected. + if !rx.Equals(x3) || !ry.Equals(y3) || !rz.Equals(z3) { + t.Errorf("#%d wrong result\ngot: (%v, %v, %v)\n"+ + "want: (%v, %v, %v)", i, rx, ry, rz, x3, y3, z3) + continue + } + } +} + +// TestAddAffine tests addition of points in affine coordinates. +func TestAddAffine(t *testing.T) { + tests := []struct { + x1, y1 string // Coordinates (in hex) of first point to add + x2, y2 string // Coordinates (in hex) of second point to add + x3, y3 string // Coordinates (in hex) of expected point + }{ + // Addition with a point at infinity (left hand side). + // ∞ + P = P + { + "0", + "0", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + }, + // Addition with a point at infinity (right hand side). + // P + ∞ = P + { + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "0", + "0", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + }, + + // Addition with different x values. + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "d74bf844b0862475103d96a611cf2d898447e288d34b360bc885cb8ce7c00575", + "131c670d414c4546b88ac3ff664611b1c38ceb1c21d76369d7a7a0969d61d97d", + "fd5b88c21d3143518d522cd2796f3d726793c88b3e05636bc829448e053fed69", + "21cf4f6a5be5ff6380234c50424a970b1f7e718f5eb58f68198c108d642a137f", + }, + // Addition with same x opposite y. + // P(x, y) + P(x, -y) = infinity + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "f48e156428cf0276dc092da5856e182288d7569f97934a56fe44be60f0d359fd", + "0", + "0", + }, + // Addition with same point. + // P(x, y) + P(x, y) = 2P + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "59477d88ae64a104dbb8d31ec4ce2d91b2fe50fa628fb6a064e22582196b365b", + "938dc8c0f13d1e75c987cb1a220501bd614b0d3dd9eb5c639847e1240216e3b6", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + // Convert hex to field values. + x1, y1 := fromHex(test.x1), fromHex(test.y1) + x2, y2 := fromHex(test.x2), fromHex(test.y2) + x3, y3 := fromHex(test.x3), fromHex(test.y3) + + // Ensure the test data is using points that are actually on + // the curve (or the point at infinity). + if !(x1.Sign() == 0 && y1.Sign() == 0) && !S256().IsOnCurve(x1, y1) { + t.Errorf("#%d first point is not on the curve -- "+ + "invalid test data", i) + continue + } + if !(x2.Sign() == 0 && y2.Sign() == 0) && !S256().IsOnCurve(x2, y2) { + t.Errorf("#%d second point is not on the curve -- "+ + "invalid test data", i) + continue + } + if !(x3.Sign() == 0 && y3.Sign() == 0) && !S256().IsOnCurve(x3, y3) { + t.Errorf("#%d expected point is not on the curve -- "+ + "invalid test data", i) + continue + } + + // Add the two points. + rx, ry := S256().Add(x1, y1, x2, y2) + + // Ensure result matches expected. + if rx.Cmp(x3) != 00 || ry.Cmp(y3) != 0 { + t.Errorf("#%d wrong result\ngot: (%x, %x)\n"+ + "want: (%x, %x)", i, rx, ry, x3, y3) + continue + } + } +} + +// TestDoubleJacobian tests doubling of points projected in Jacobian +// coordinates. +func TestDoubleJacobian(t *testing.T) { + tests := []struct { + x1, y1, z1 string // Coordinates (in hex) of point to double + x3, y3, z3 string // Coordinates (in hex) of expected point + }{ + // Doubling a point at infinity is still infinity. + { + "0", + "0", + "0", + "0", + "0", + "0", + }, + // Doubling with z1=1. + { + "34f9460f0e4f08393d192b3c5133a6ba099aa0ad9fd54ebccfacdfa239ff49c6", + "0b71ea9bd730fd8923f6d25a7a91e7dd7728a960686cb5a901bb419e0f2ca232", + "1", + "ec9f153b13ee7bd915882859635ea9730bf0dc7611b2c7b0e37ee64f87c50c27", + "b082b53702c466dcf6e984a35671756c506c67c2fcb8adb408c44dd0755c8f2a", + "16e3d537ae61fb1247eda4b4f523cfbaee5152c0d0d96b520376833c1e594464", + }, + // Doubling with z1!=1. + { + "d3e5183c393c20e4f464acf144ce9ae8266a82b67f553af33eb37e88e7fd2718", + "5b8f54deb987ec491fb692d3d48f3eebb9454b034365ad480dda0cf079651190", + "2", + "9f153b13ee7bd915882859635ea9730bf0dc7611b2c7b0e37ee65073c50fabac", + "2b53702c466dcf6e984a35671756c506c67c2fcb8adb408c44dd125dc91cb988", + "6e3d537ae61fb1247eda4b4f523cfbaee5152c0d0d96b520376833c2e5944a11", + }, + // From btcd issue #709. + { + "201e3f75715136d2f93c4f4598f91826f94ca01f4233a5bd35de9708859ca50d", + "bdf18566445e7562c6ada68aef02d498d7301503de5b18c6aef6e2b1722412e1", + "0000000000000000000000000000000000000000000000000000000000000001", + "4a5e0559863ebb4e9ed85f5c4fa76003d05d9a7626616e614a1f738621e3c220", + "00000000000000000000000000000000000000000000000000000001b1388778", + "7be30acc88bceac58d5b4d15de05a931ae602a07bcb6318d5dedc563e4482993", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + // Convert hex to field values. + x1 := new(fieldVal).SetHex(test.x1) + y1 := new(fieldVal).SetHex(test.y1) + z1 := new(fieldVal).SetHex(test.z1) + x3 := new(fieldVal).SetHex(test.x3) + y3 := new(fieldVal).SetHex(test.y3) + z3 := new(fieldVal).SetHex(test.z3) + + // Ensure the test data is using points that are actually on + // the curve (or the point at infinity). + if !z1.IsZero() && !isJacobianOnS256Curve(x1, y1, z1) { + t.Errorf("#%d first point is not on the curve -- "+ + "invalid test data", i) + continue + } + if !z3.IsZero() && !isJacobianOnS256Curve(x3, y3, z3) { + t.Errorf("#%d expected point is not on the curve -- "+ + "invalid test data", i) + continue + } + + // Double the point. + rx, ry, rz := new(fieldVal), new(fieldVal), new(fieldVal) + S256().doubleJacobian(x1, y1, z1, rx, ry, rz) + + // Ensure result matches expected. + if !rx.Equals(x3) || !ry.Equals(y3) || !rz.Equals(z3) { + t.Errorf("#%d wrong result\ngot: (%v, %v, %v)\n"+ + "want: (%v, %v, %v)", i, rx, ry, rz, x3, y3, z3) + continue + } + } +} + +// TestDoubleAffine tests doubling of points in affine coordinates. +func TestDoubleAffine(t *testing.T) { + tests := []struct { + x1, y1 string // Coordinates (in hex) of point to double + x3, y3 string // Coordinates (in hex) of expected point + }{ + // Doubling a point at infinity is still infinity. + // 2*∞ = ∞ (point at infinity) + + { + "0", + "0", + "0", + "0", + }, + + // Random points. + { + "e41387ffd8baaeeb43c2faa44e141b19790e8ac1f7ff43d480dc132230536f86", + "1b88191d430f559896149c86cbcb703193105e3cf3213c0c3556399836a2b899", + "88da47a089d333371bd798c548ef7caae76e737c1980b452d367b3cfe3082c19", + "3b6f659b09a362821dfcfefdbfbc2e59b935ba081b6c249eb147b3c2100b1bc1", + }, + { + "b3589b5d984f03ef7c80aeae444f919374799edf18d375cab10489a3009cff0c", + "c26cf343875b3630e15bccc61202815b5d8f1fd11308934a584a5babe69db36a", + "e193860172998751e527bb12563855602a227fc1f612523394da53b746bb2fb1", + "2bfcf13d2f5ab8bb5c611fab5ebbed3dc2f057062b39a335224c22f090c04789", + }, + { + "2b31a40fbebe3440d43ac28dba23eee71c62762c3fe3dbd88b4ab82dc6a82340", + "9ba7deb02f5c010e217607fd49d58db78ec273371ea828b49891ce2fd74959a1", + "2c8d5ef0d343b1a1a48aa336078eadda8481cb048d9305dc4fdf7ee5f65973a2", + "bb4914ac729e26d3cd8f8dc8f702f3f4bb7e0e9c5ae43335f6e94c2de6c3dc95", + }, + { + "61c64b760b51981fab54716d5078ab7dffc93730b1d1823477e27c51f6904c7a", + "ef6eb16ea1a36af69d7f66524c75a3a5e84c13be8fbc2e811e0563c5405e49bd", + "5f0dcdd2595f5ad83318a0f9da481039e36f135005420393e72dfca985b482f4", + "a01c849b0837065c1cb481b0932c441f49d1cab1b4b9f355c35173d93f110ae0", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + // Convert hex to field values. + x1, y1 := fromHex(test.x1), fromHex(test.y1) + x3, y3 := fromHex(test.x3), fromHex(test.y3) + + // Ensure the test data is using points that are actually on + // the curve (or the point at infinity). + if !(x1.Sign() == 0 && y1.Sign() == 0) && !S256().IsOnCurve(x1, y1) { + t.Errorf("#%d first point is not on the curve -- "+ + "invalid test data", i) + continue + } + if !(x3.Sign() == 0 && y3.Sign() == 0) && !S256().IsOnCurve(x3, y3) { + t.Errorf("#%d expected point is not on the curve -- "+ + "invalid test data", i) + continue + } + + // Double the point. + rx, ry := S256().Double(x1, y1) + + // Ensure result matches expected. + if rx.Cmp(x3) != 00 || ry.Cmp(y3) != 0 { + t.Errorf("#%d wrong result\ngot: (%x, %x)\n"+ + "want: (%x, %x)", i, rx, ry, x3, y3) + continue + } + } +} + +func TestOnCurve(t *testing.T) { + s256 := S256() + if !s256.IsOnCurve(s256.Params().Gx, s256.Params().Gy) { + t.Errorf("FAIL S256") + } +} + +type baseMultTest struct { + k string + x, y string +} + +//TODO: add more test vectors +var s256BaseMultTests = []baseMultTest{ + { + "AA5E28D6A97A2479A65527F7290311A3624D4CC0FA1578598EE3C2613BF99522", + "34F9460F0E4F08393D192B3C5133A6BA099AA0AD9FD54EBCCFACDFA239FF49C6", + "B71EA9BD730FD8923F6D25A7A91E7DD7728A960686CB5A901BB419E0F2CA232", + }, + { + "7E2B897B8CEBC6361663AD410835639826D590F393D90A9538881735256DFAE3", + "D74BF844B0862475103D96A611CF2D898447E288D34B360BC885CB8CE7C00575", + "131C670D414C4546B88AC3FF664611B1C38CEB1C21D76369D7A7A0969D61D97D", + }, + { + "6461E6DF0FE7DFD05329F41BF771B86578143D4DD1F7866FB4CA7E97C5FA945D", + "E8AECC370AEDD953483719A116711963CE201AC3EB21D3F3257BB48668C6A72F", + "C25CAF2F0EBA1DDB2F0F3F47866299EF907867B7D27E95B3873BF98397B24EE1", + }, + { + "376A3A2CDCD12581EFFF13EE4AD44C4044B8A0524C42422A7E1E181E4DEECCEC", + "14890E61FCD4B0BD92E5B36C81372CA6FED471EF3AA60A3E415EE4FE987DABA1", + "297B858D9F752AB42D3BCA67EE0EB6DCD1C2B7B0DBE23397E66ADC272263F982", + }, + { + "1B22644A7BE026548810C378D0B2994EEFA6D2B9881803CB02CEFF865287D1B9", + "F73C65EAD01C5126F28F442D087689BFA08E12763E0CEC1D35B01751FD735ED3", + "F449A8376906482A84ED01479BD18882B919C140D638307F0C0934BA12590BDE", + }, +} + +//TODO: test different curves as well? +func TestBaseMult(t *testing.T) { + s256 := S256() + for i, e := range s256BaseMultTests { + k, ok := new(big.Int).SetString(e.k, 16) + if !ok { + t.Errorf("%d: bad value for k: %s", i, e.k) + } + x, y := s256.ScalarBaseMult(k.Bytes()) + if fmt.Sprintf("%X", x) != e.x || fmt.Sprintf("%X", y) != e.y { + t.Errorf("%d: bad output for k=%s: got (%X, %X), want (%s, %s)", i, e.k, x, y, e.x, e.y) + } + if testing.Short() && i > 5 { + break + } + } +} + +func TestBaseMultVerify(t *testing.T) { + s256 := S256() + for bytes := 1; bytes < 40; bytes++ { + for i := 0; i < 30; i++ { + data := make([]byte, bytes) + _, err := rand.Read(data) + if err != nil { + t.Errorf("failed to read random data for %d", i) + continue + } + x, y := s256.ScalarBaseMult(data) + xWant, yWant := s256.ScalarMult(s256.Gx, s256.Gy, data) + if x.Cmp(xWant) != 0 || y.Cmp(yWant) != 0 { + t.Errorf("%d: bad output for %X: got (%X, %X), want (%X, %X)", i, data, x, y, xWant, yWant) + } + if testing.Short() && i > 2 { + break + } + } + } +} + +func TestScalarMult(t *testing.T) { + tests := []struct { + x string + y string + k string + rx string + ry string + }{ + // base mult, essentially. + { + "79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798", + "483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8", + "18e14a7b6a307f426a94f8114701e7c8e774e7f9a47e2c2035db29a206321725", + "50863ad64a87ae8a2fe83c1af1a8403cb53f53e486d8511dad8a04887e5b2352", + "2cd470243453a299fa9e77237716103abc11a1df38855ed6f2ee187e9c582ba6", + }, + // From btcd issue #709. + { + "000000000000000000000000000000000000000000000000000000000000002c", + "420e7a99bba18a9d3952597510fd2b6728cfeafc21a4e73951091d4d8ddbe94e", + "a2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba219b51835b55cc30ebfe2f6599bc56f58", + "a2112dcdfbcd10ae1133a358de7b82db68e0a3eb4b492cc8268d1e7118c98788", + "27fc7463b7bb3c5f98ecf2c84a6272bb1681ed553d92c69f2dfe25a9f9fd3836", + }, + } + + s256 := S256() + for i, test := range tests { + x, _ := new(big.Int).SetString(test.x, 16) + y, _ := new(big.Int).SetString(test.y, 16) + k, _ := new(big.Int).SetString(test.k, 16) + xWant, _ := new(big.Int).SetString(test.rx, 16) + yWant, _ := new(big.Int).SetString(test.ry, 16) + xGot, yGot := s256.ScalarMult(x, y, k.Bytes()) + if xGot.Cmp(xWant) != 0 || yGot.Cmp(yWant) != 0 { + t.Fatalf("%d: bad output: got (%X, %X), want (%X, %X)", i, xGot, yGot, xWant, yWant) + } + } +} + +func TestScalarMultRand(t *testing.T) { + // Strategy for this test: + // Get a random exponent from the generator point at first + // This creates a new point which is used in the next iteration + // Use another random exponent on the new point. + // We use BaseMult to verify by multiplying the previous exponent + // and the new random exponent together (mod N) + s256 := S256() + x, y := s256.Gx, s256.Gy + exponent := big.NewInt(1) + for i := 0; i < 1024; i++ { + data := make([]byte, 32) + _, err := rand.Read(data) + if err != nil { + t.Fatalf("failed to read random data at %d", i) + break + } + x, y = s256.ScalarMult(x, y, data) + exponent.Mul(exponent, new(big.Int).SetBytes(data)) + xWant, yWant := s256.ScalarBaseMult(exponent.Bytes()) + if x.Cmp(xWant) != 0 || y.Cmp(yWant) != 0 { + t.Fatalf("%d: bad output for %X: got (%X, %X), want (%X, %X)", i, data, x, y, xWant, yWant) + break + } + } +} + +func TestSplitK(t *testing.T) { + tests := []struct { + k string + k1, k2 string + s1, s2 int + }{ + { + "6df2b5d30854069ccdec40ae022f5c948936324a4e9ebed8eb82cfd5a6b6d766", + "00000000000000000000000000000000b776e53fb55f6b006a270d42d64ec2b1", + "00000000000000000000000000000000d6cc32c857f1174b604eefc544f0c7f7", + -1, -1, + }, + { + "6ca00a8f10632170accc1b3baf2a118fa5725f41473f8959f34b8f860c47d88d", + "0000000000000000000000000000000007b21976c1795723c1bfbfa511e95b84", + "00000000000000000000000000000000d8d2d5f9d20fc64fd2cf9bda09a5bf90", + 1, -1, + }, + { + "b2eda8ab31b259032d39cbc2a234af17fcee89c863a8917b2740b67568166289", + "00000000000000000000000000000000507d930fecda7414fc4a523b95ef3c8c", + "00000000000000000000000000000000f65ffb179df189675338c6185cb839be", + -1, -1, + }, + { + "f6f00e44f179936f2befc7442721b0633f6bafdf7161c167ffc6f7751980e3a0", + "0000000000000000000000000000000008d0264f10bcdcd97da3faa38f85308d", + "0000000000000000000000000000000065fed1506eb6605a899a54e155665f79", + -1, -1, + }, + { + "8679085ab081dc92cdd23091ce3ee998f6b320e419c3475fae6b5b7d3081996e", + "0000000000000000000000000000000089fbf24fbaa5c3c137b4f1cedc51d975", + "00000000000000000000000000000000d38aa615bd6754d6f4d51ccdaf529fea", + -1, -1, + }, + { + "6b1247bb7931dfcae5b5603c8b5ae22ce94d670138c51872225beae6bba8cdb3", + "000000000000000000000000000000008acc2a521b21b17cfb002c83be62f55d", + "0000000000000000000000000000000035f0eff4d7430950ecb2d94193dedc79", + -1, -1, + }, + { + "a2e8ba2e8ba2e8ba2e8ba2e8ba2e8ba219b51835b55cc30ebfe2f6599bc56f58", + "0000000000000000000000000000000045c53aa1bb56fcd68c011e2dad6758e4", + "00000000000000000000000000000000a2e79d200f27f2360fba57619936159b", + -1, -1, + }, + } + + s256 := S256() + for i, test := range tests { + k, ok := new(big.Int).SetString(test.k, 16) + if !ok { + t.Errorf("%d: bad value for k: %s", i, test.k) + } + k1, k2, k1Sign, k2Sign := s256.splitK(k.Bytes()) + k1str := fmt.Sprintf("%064x", k1) + if test.k1 != k1str { + t.Errorf("%d: bad k1: got %v, want %v", i, k1str, test.k1) + } + k2str := fmt.Sprintf("%064x", k2) + if test.k2 != k2str { + t.Errorf("%d: bad k2: got %v, want %v", i, k2str, test.k2) + } + if test.s1 != k1Sign { + t.Errorf("%d: bad k1 sign: got %d, want %d", i, k1Sign, test.s1) + } + if test.s2 != k2Sign { + t.Errorf("%d: bad k2 sign: got %d, want %d", i, k2Sign, test.s2) + } + k1Int := new(big.Int).SetBytes(k1) + k1SignInt := new(big.Int).SetInt64(int64(k1Sign)) + k1Int.Mul(k1Int, k1SignInt) + k2Int := new(big.Int).SetBytes(k2) + k2SignInt := new(big.Int).SetInt64(int64(k2Sign)) + k2Int.Mul(k2Int, k2SignInt) + gotK := new(big.Int).Mul(k2Int, s256.lambda) + gotK.Add(k1Int, gotK) + gotK.Mod(gotK, s256.N) + if k.Cmp(gotK) != 0 { + t.Errorf("%d: bad k: got %X, want %X", i, gotK.Bytes(), k.Bytes()) + } + } +} + +func TestSplitKRand(t *testing.T) { + s256 := S256() + for i := 0; i < 1024; i++ { + bytesK := make([]byte, 32) + _, err := rand.Read(bytesK) + if err != nil { + t.Fatalf("failed to read random data at %d", i) + break + } + k := new(big.Int).SetBytes(bytesK) + k1, k2, k1Sign, k2Sign := s256.splitK(bytesK) + k1Int := new(big.Int).SetBytes(k1) + k1SignInt := new(big.Int).SetInt64(int64(k1Sign)) + k1Int.Mul(k1Int, k1SignInt) + k2Int := new(big.Int).SetBytes(k2) + k2SignInt := new(big.Int).SetInt64(int64(k2Sign)) + k2Int.Mul(k2Int, k2SignInt) + gotK := new(big.Int).Mul(k2Int, s256.lambda) + gotK.Add(k1Int, gotK) + gotK.Mod(gotK, s256.N) + if k.Cmp(gotK) != 0 { + t.Errorf("%d: bad k: got %X, want %X", i, gotK.Bytes(), k.Bytes()) + } + } +} + +// Test this curve's usage with the ecdsa package. +func testKeyGeneration(t *testing.T, c *KoblitzCurve, tag string) { + priv, err := GeneratePrivateKey() + if err != nil { + t.Errorf("%s: error: %s", tag, err) + return + } + if !c.IsOnCurve(priv.PublicKey.X, priv.PublicKey.Y) { + t.Errorf("%s: public key invalid: %s", tag, err) + } +} + +func TestKeyGeneration(t *testing.T) { + testKeyGeneration(t, S256(), "S256") +} + +func testSignAndVerify(t *testing.T, c *KoblitzCurve, tag string) { + priv, _ := GeneratePrivateKey() + pubx, puby := priv.Public() + pub := NewPublicKey(pubx, puby) + + hashed := []byte("testing") + sig, err := priv.Sign(hashed) + if err != nil { + t.Errorf("%s: error signing: %s", tag, err) + return + } + + if !sig.Verify(hashed, pub) { + t.Errorf("%s: Verify failed", tag) + } + + hashed[0] ^= 0xff + if sig.Verify(hashed, pub) { + t.Errorf("%s: Verify always works!", tag) + } +} + +func TestSignAndVerify(t *testing.T) { + testSignAndVerify(t, S256(), "S256") +} + +func TestNAF(t *testing.T) { + tests := []string{ + "6df2b5d30854069ccdec40ae022f5c948936324a4e9ebed8eb82cfd5a6b6d766", + "b776e53fb55f6b006a270d42d64ec2b1", + "d6cc32c857f1174b604eefc544f0c7f7", + "45c53aa1bb56fcd68c011e2dad6758e4", + "a2e79d200f27f2360fba57619936159b", + } + negOne := big.NewInt(-1) + one := big.NewInt(1) + two := big.NewInt(2) + for i, test := range tests { + want, _ := new(big.Int).SetString(test, 16) + nafPos, nafNeg := NAF(want.Bytes()) + got := big.NewInt(0) + // Check that the NAF representation comes up with the right number + for i := 0; i < len(nafPos); i++ { + bytePos := nafPos[i] + byteNeg := nafNeg[i] + for j := 7; j >= 0; j-- { + got.Mul(got, two) + if bytePos&0x80 == 0x80 { + got.Add(got, one) + } else if byteNeg&0x80 == 0x80 { + got.Add(got, negOne) + } + bytePos <<= 1 + byteNeg <<= 1 + } + } + if got.Cmp(want) != 0 { + t.Errorf("%d: Failed NAF got %X want %X", i, got, want) + } + } +} + +func TestNAFRand(t *testing.T) { + negOne := big.NewInt(-1) + one := big.NewInt(1) + two := big.NewInt(2) + for i := 0; i < 1024; i++ { + data := make([]byte, 32) + _, err := rand.Read(data) + if err != nil { + t.Fatalf("failed to read random data at %d", i) + break + } + nafPos, nafNeg := NAF(data) + want := new(big.Int).SetBytes(data) + got := big.NewInt(0) + // Check that the NAF representation comes up with the right number + for i := 0; i < len(nafPos); i++ { + bytePos := nafPos[i] + byteNeg := nafNeg[i] + for j := 7; j >= 0; j-- { + got.Mul(got, two) + if bytePos&0x80 == 0x80 { + got.Add(got, one) + } else if byteNeg&0x80 == 0x80 { + got.Add(got, negOne) + } + bytePos <<= 1 + byteNeg <<= 1 + } + } + if got.Cmp(want) != 0 { + t.Errorf("%d: Failed NAF got %X want %X", i, got, want) + } + } +} diff --git a/crypto/ecc/secp256k1/ciphering.go b/crypto/ecc/secp256k1/ciphering.go new file mode 100644 index 0000000..f520e95 --- /dev/null +++ b/crypto/ecc/secp256k1/ciphering.go @@ -0,0 +1,218 @@ +// Copyright (c) 2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "bytes" + "crypto/aes" + "crypto/cipher" + "crypto/hmac" + "crypto/rand" + "crypto/sha256" + "crypto/sha512" + "errors" + "io" +) + +var ( + // ErrInvalidMAC occurs when Message Authentication Check (MAC) fails + // during decryption. This happens because of either invalid private key or + // corrupt ciphertext. + ErrInvalidMAC = errors.New("invalid mac hash") + + // errInputTooShort occurs when the input ciphertext to the Decrypt + // function is less than 134 bytes long. + errInputTooShort = errors.New("ciphertext too short") + + // errUnsupportedCurve occurs when the first two bytes of the encrypted + // text aren't 0x02CA (= 712 = secp256k1, from OpenSSL). + errUnsupportedCurve = errors.New("unsupported curve") + + errInvalidXLength = errors.New("invalid X length, must be 32") + errInvalidYLength = errors.New("invalid Y length, must be 32") + errInvalidPadding = errors.New("invalid PKCS#7 padding") + + // 0x02CA = 714 + ciphCurveBytes = [2]byte{0x02, 0xCA} + // 0x20 = 32 + ciphCoordLength = [2]byte{0x00, 0x20} +) + +// GenerateSharedSecret generates a shared secret based on a private key and a +// public key using Diffie-Hellman key exchange (ECDH) (RFC 4753). +// RFC5903 Section 9 states we should only return x. +func GenerateSharedSecret(privkey *PrivateKey, pubkey *PublicKey) []byte { + x, _ := pubkey.Curve.ScalarMult(pubkey.X, pubkey.Y, privkey.D.Bytes()) + return x.Bytes() +} + +// Encrypt encrypts data for the target public key using AES-256-CBC. It also +// generates a private key (the pubkey of which is also in the output). The only +// supported curve is secp256k1. The `structure' that it encodes everything into +// is: +// +// struct { +// // Initialization Vector used for AES-256-CBC +// IV [16]byte +// // Public Key: curve(2) + len_of_pubkeyX(2) + pubkeyX + +// // len_of_pubkeyY(2) + pubkeyY (curve = 714) +// PublicKey [70]byte +// // Cipher text +// Data []byte +// // HMAC-SHA-256 Message Authentication Code +// HMAC [32]byte +// } +// +// The primary aim is to ensure byte compatibility with Pyelliptic. Also, refer +// to section 5.8.1 of ANSI X9.63 for rationale on this format. +func Encrypt(pubkey *PublicKey, in []byte) ([]byte, error) { + ephemeral, err := GeneratePrivateKey() + if err != nil { + return nil, err + } + ecdhKey := GenerateSharedSecret(ephemeral, pubkey) + derivedKey := sha512.Sum512(ecdhKey) + keyE := derivedKey[:32] + keyM := derivedKey[32:] + + paddedIn := addPKCSPadding(in) + // IV + Curve params/X/Y + padded plaintext/ciphertext + HMAC-256 + out := make([]byte, aes.BlockSize+70+len(paddedIn)+sha256.Size) + iv := out[:aes.BlockSize] + if _, err = io.ReadFull(rand.Reader, iv); err != nil { + return nil, err + } + // start writing public key + pbk := NewPublicKey(ephemeral.PublicKey.X, ephemeral.PublicKey.Y) + pb := pbk.SerializeUncompressed() + offset := aes.BlockSize + + // curve and X length + copy(out[offset:offset+4], append(ciphCurveBytes[:], ciphCoordLength[:]...)) + offset += 4 + // X + copy(out[offset:offset+32], pb[1:33]) + offset += 32 + // Y length + copy(out[offset:offset+2], ciphCoordLength[:]) + offset += 2 + // Y + copy(out[offset:offset+32], pb[33:]) + offset += 32 + + // start encryption + block, err := aes.NewCipher(keyE) + if err != nil { + return nil, err + } + mode := cipher.NewCBCEncrypter(block, iv) + mode.CryptBlocks(out[offset:len(out)-sha256.Size], paddedIn) + + // start HMAC-SHA-256 + hm := hmac.New(sha256.New, keyM) + hm.Write(out[:len(out)-sha256.Size]) // everything is hashed + copy(out[len(out)-sha256.Size:], hm.Sum(nil)) // write checksum + + return out, nil +} + +// Decrypt decrypts data that was encrypted using the Encrypt function. +func Decrypt(priv *PrivateKey, in []byte) ([]byte, error) { + // IV + Curve params/X/Y + 1 block + HMAC-256 + if len(in) < aes.BlockSize+70+aes.BlockSize+sha256.Size { + return nil, errInputTooShort + } + + // read iv + iv := in[:aes.BlockSize] + offset := aes.BlockSize + + // start reading pubkey + if !bytes.Equal(in[offset:offset+2], ciphCurveBytes[:]) { + return nil, errUnsupportedCurve + } + offset += 2 + + if !bytes.Equal(in[offset:offset+2], ciphCoordLength[:]) { + return nil, errInvalidXLength + } + offset += 2 + + xBytes := in[offset : offset+32] + offset += 32 + + if !bytes.Equal(in[offset:offset+2], ciphCoordLength[:]) { + return nil, errInvalidYLength + } + offset += 2 + + yBytes := in[offset : offset+32] + offset += 32 + + pb := make([]byte, 65) + pb[0] = byte(0x04) // uncompressed + copy(pb[1:33], xBytes) + copy(pb[33:], yBytes) + // check if (X, Y) lies on the curve and create a Pubkey if it does + pubkey, err := ParsePubKey(pb) + if err != nil { + return nil, err + } + + // check for cipher text length + if (len(in)-aes.BlockSize-offset-sha256.Size)%aes.BlockSize != 0 { + return nil, errInvalidPadding // not padded to 16 bytes + } + + // read hmac + messageMAC := in[len(in)-sha256.Size:] + + // generate shared secret + ecdhKey := GenerateSharedSecret(priv, pubkey) + derivedKey := sha512.Sum512(ecdhKey) + keyE := derivedKey[:32] + keyM := derivedKey[32:] + + // verify mac + hm := hmac.New(sha256.New, keyM) + hm.Write(in[:len(in)-sha256.Size]) // everything is hashed + expectedMAC := hm.Sum(nil) + if !hmac.Equal(messageMAC, expectedMAC) { + return nil, ErrInvalidMAC + } + + // start decryption + block, err := aes.NewCipher(keyE) + if err != nil { + return nil, err + } + mode := cipher.NewCBCDecrypter(block, iv) + // same length as ciphertext + plaintext := make([]byte, len(in)-offset-sha256.Size) + mode.CryptBlocks(plaintext, in[offset:len(in)-sha256.Size]) + + return removePKCSPadding(plaintext) +} + +// Implement PKCS#7 padding with block size of 16 (AES block size). + +// addPKCSPadding adds padding to a block of data +func addPKCSPadding(src []byte) []byte { + padding := aes.BlockSize - len(src)%aes.BlockSize + padtext := bytes.Repeat([]byte{byte(padding)}, padding) + return append(src, padtext...) +} + +// removePKCSPadding removes padding from data that was added with addPKCSPadding +func removePKCSPadding(src []byte) ([]byte, error) { + length := len(src) + padLength := int(src[length-1]) + if padLength > aes.BlockSize || length < aes.BlockSize { + return nil, errInvalidPadding + } + + return src[:length-padLength], nil +} diff --git a/crypto/ecc/secp256k1/ciphering_test.go b/crypto/ecc/secp256k1/ciphering_test.go new file mode 100644 index 0000000..99595c1 --- /dev/null +++ b/crypto/ecc/secp256k1/ciphering_test.go @@ -0,0 +1,180 @@ +// Copyright (c) 2015-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "bytes" + "encoding/hex" + "testing" +) + +func TestGenerateSharedSecret(t *testing.T) { + privKey1, err := GeneratePrivateKey() + if err != nil { + t.Errorf("private key generation error: %s", err) + return + } + privKey2, err := GeneratePrivateKey() + if err != nil { + t.Errorf("private key generation error: %s", err) + return + } + + pk1x, pk1y := privKey1.Public() + pk1 := NewPublicKey(pk1x, pk1y) + pk2x, pk2y := privKey2.Public() + pk2 := NewPublicKey(pk2x, pk2y) + secret1 := GenerateSharedSecret(privKey1, pk2) + secret2 := GenerateSharedSecret(privKey2, pk1) + if !bytes.Equal(secret1, secret2) { + t.Errorf("ECDH failed, secrets mismatch - first: %x, second: %x", + secret1, secret2) + } +} + +// Test 1: Encryption and decryption +func TestCipheringBasic(t *testing.T) { + privkey, err := GeneratePrivateKey() + if err != nil { + t.Fatal("failed to generate private key") + } + + in := []byte("Hey there dude. How are you doing? This is a test.") + + pk1x, pk1y := privkey.Public() + pk1 := NewPublicKey(pk1x, pk1y) + out, err := Encrypt(pk1, in) + if err != nil { + t.Fatal("failed to encrypt:", err) + } + + dec, err := Decrypt(privkey, out) + if err != nil { + t.Fatal("failed to decrypt:", err) + } + + if !bytes.Equal(in, dec) { + t.Error("decrypted data doesn't match original") + } +} + +// Test 2: Byte compatibility with Pyelliptic +func TestCiphering(t *testing.T) { + pb, _ := hex.DecodeString("fe38240982f313ae5afb3e904fb8215fb11af1200592b" + + "fca26c96c4738e4bf8f") + privkey, _ := PrivKeyFromBytes(pb) + + in := []byte("This is just a test.") + out, _ := hex.DecodeString("b0d66e5adaa5ed4e2f0ca68e17b8f2fc02ca002009e3" + + "3487e7fa4ab505cf34d98f131be7bd258391588ca7804acb30251e71a04e0020ecf" + + "df0f84608f8add82d7353af780fbb28868c713b7813eb4d4e61f7b75d7534dd9856" + + "9b0ba77cf14348fcff80fee10e11981f1b4be372d93923e9178972f69937ec850ed" + + "6c3f11ff572ddd5b2bedf9f9c0b327c54da02a28fcdce1f8369ffec") + + dec, err := Decrypt(privkey, out) + if err != nil { + t.Fatal("failed to decrypt:", err) + } + + if !bytes.Equal(in, dec) { + t.Error("decrypted data doesn't match original") + } +} + +func TestCipheringErrors(t *testing.T) { + privkey, err := GeneratePrivateKey() + if err != nil { + t.Fatal("failed to generate private key") + } + + tests1 := []struct { + ciphertext []byte // input ciphertext + }{ + {bytes.Repeat([]byte{0x00}, 133)}, // errInputTooShort + {bytes.Repeat([]byte{0x00}, 134)}, // errUnsupportedCurve + {bytes.Repeat([]byte{0x02, 0xCA}, 134)}, // errInvalidXLength + {bytes.Repeat([]byte{0x02, 0xCA, 0x00, 0x20}, 134)}, // errInvalidYLength + {[]byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // IV + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x02, 0xCA, 0x00, 0x20, // curve and X length + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // X + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x20, // Y length + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // Y + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // ciphertext + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // MAC + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }}, // invalid pubkey + {[]byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // IV + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x02, 0xCA, 0x00, 0x20, // curve and X length + 0x11, 0x5C, 0x42, 0xE7, 0x57, 0xB2, 0xEF, 0xB7, // X + 0x67, 0x1C, 0x57, 0x85, 0x30, 0xEC, 0x19, 0x1A, + 0x13, 0x59, 0x38, 0x1E, 0x6A, 0x71, 0x12, 0x7A, + 0x9D, 0x37, 0xC4, 0x86, 0xFD, 0x30, 0xDA, 0xE5, + 0x00, 0x20, // Y length + 0x7E, 0x76, 0xDC, 0x58, 0xF6, 0x93, 0xBD, 0x7E, // Y + 0x70, 0x10, 0x35, 0x8C, 0xE6, 0xB1, 0x65, 0xE4, + 0x83, 0xA2, 0x92, 0x10, 0x10, 0xDB, 0x67, 0xAC, + 0x11, 0xB1, 0xB5, 0x1B, 0x65, 0x19, 0x53, 0xD2, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // ciphertext + // padding not aligned to 16 bytes + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // MAC + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }}, // errInvalidPadding + {[]byte{0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // IV + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x02, 0xCA, 0x00, 0x20, // curve and X length + 0x11, 0x5C, 0x42, 0xE7, 0x57, 0xB2, 0xEF, 0xB7, // X + 0x67, 0x1C, 0x57, 0x85, 0x30, 0xEC, 0x19, 0x1A, + 0x13, 0x59, 0x38, 0x1E, 0x6A, 0x71, 0x12, 0x7A, + 0x9D, 0x37, 0xC4, 0x86, 0xFD, 0x30, 0xDA, 0xE5, + 0x00, 0x20, // Y length + 0x7E, 0x76, 0xDC, 0x58, 0xF6, 0x93, 0xBD, 0x7E, // Y + 0x70, 0x10, 0x35, 0x8C, 0xE6, 0xB1, 0x65, 0xE4, + 0x83, 0xA2, 0x92, 0x10, 0x10, 0xDB, 0x67, 0xAC, + 0x11, 0xB1, 0xB5, 0x1B, 0x65, 0x19, 0x53, 0xD2, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // ciphertext + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, // MAC + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }}, // ErrInvalidMAC + } + + for i, test := range tests1 { + _, err = Decrypt(privkey, test.ciphertext) + if err == nil { + t.Errorf("Decrypt #%d did not get error", i) + } + } + + // test error from removePKCSPadding + tests2 := []struct { + in []byte // input data + }{ + {bytes.Repeat([]byte{0x11}, 17)}, + {bytes.Repeat([]byte{0x07}, 15)}, + } + for i, test := range tests2 { + _, err = removePKCSPadding(test.in) + if err == nil { + t.Errorf("removePKCSPadding #%d did not get error", i) + } + } +} diff --git a/crypto/ecc/secp256k1/doc.go b/crypto/ecc/secp256k1/doc.go new file mode 100644 index 0000000..1e80248 --- /dev/null +++ b/crypto/ecc/secp256k1/doc.go @@ -0,0 +1,21 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +/* +Package secp256k1 implements support for the elliptic curves needed for qitmeer. + +qitmeer uses elliptic curve cryptography using koblitz curves +(specifically secp256k1) for cryptographic functions. See +http://www.secg.org/collateral/sec2_final.pdf for details on the +standard. + +This package provides the data structures and functions implementing the +crypto/elliptic Curve interface in order to permit using these curves +with the standard crypto/ecdsa package provided with go. Helper +functionality is provided to parse signatures and public keys from +standard formats. +*/ +package secp256k1 diff --git a/crypto/ecc/secp256k1/example_test.go b/crypto/ecc/secp256k1/example_test.go new file mode 100644 index 0000000..4c75e3d --- /dev/null +++ b/crypto/ecc/secp256k1/example_test.go @@ -0,0 +1,175 @@ +// Copyright (c) 2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1_test + +import ( + "encoding/hex" + "fmt" + + chainhash "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +// This example demonstrates signing a message with a secp256k1 private key that +// is first parsed form raw bytes and serializing the generated signature. +func Example_signMessage() { + // Decode a hex-encoded private key. + pkBytes, err := hex.DecodeString("22a47fa09a223f2aa079edf85a7c2d4f87" + + "20ee63e502ee2869afab7de234b80c") + if err != nil { + fmt.Println(err) + return + } + privKey, pubKey := secp256k1.PrivKeyFromBytes(pkBytes) + + // Sign a message using the private key. + message := "test message" + messageHash := chainhash.HashB([]byte(message)) + //messageHash := chainhash.BlakeHashB([]byte(message)) + //messageHash := chainhash.Blake256HashB([]byte(message)) + signature, err := privKey.Sign(messageHash) + if err != nil { + fmt.Println(err) + return + } + + // Serialize and display the signature. + fmt.Printf("Serialized Signature: %x\n", signature.Serialize()) + + // Verify the signature for the message using the public key. + verified := signature.Verify(messageHash, pubKey) + fmt.Printf("Signature Verified? %v\n", verified) + + // Output: + // Serialized Signature: 3044022065e32e6741a0d14ce677ce4fc63aa14239e5495527931faf74a608986a15acde0220212388535bf58d151c78395900ccb88c2da63a408a61af62b62a32fdb0eda5ce + // Signature Verified? true +} + +// This example demonstrates verifying a secp256k1 signature against a public +// key that is first parsed from raw bytes. The signature is also parsed from +// raw bytes. +func Example_verifySignature() { + // Decode hex-encoded serialized public key. + pubKeyBytes, err := hex.DecodeString("02a673638cb9587cb68ea08dbef685c" + + "6f2d2a751a8b3c6f2a7e9a4999e6e4bfaf5") + if err != nil { + fmt.Println(err) + return + } + pubKey, err := secp256k1.ParsePubKey(pubKeyBytes) + if err != nil { + fmt.Println(err) + return + } + + // Decode hex-encoded serialized signature. + sigBytes, err := hex.DecodeString("3044022065e32e6741a0d14ce677ce4fc" + + "63aa14239e5495527931faf74a608986a15acde0220212388535bf58d151c7839590" + + "0ccb88c2da63a408a61af62b62a32fdb0eda5ce") + + if err != nil { + fmt.Println(err) + return + } + signature, err := secp256k1.ParseSignature(sigBytes, secp256k1.S256()) + if err != nil { + fmt.Println(err) + return + } + + // Verify the signature for the message using the public key. + message := "test message" + messageHash := chainhash.HashB([]byte(message)) + verified := signature.Verify(messageHash, pubKey) + fmt.Println("Signature Verified?", verified) + + // Output: + // Signature Verified? true +} + +// This example demonstrates encrypting a message for a public key that is first +// parsed from raw bytes, then decrypting it using the corresponding private key. +func Example_encryptMessage() { + // Decode the hex-encoded pubkey of the recipient. + pubKeyBytes, err := hex.DecodeString("04115c42e757b2efb7671c578530ec191a1" + + "359381e6a71127a9d37c486fd30dae57e76dc58f693bd7e7010358ce6b165e483a29" + + "21010db67ac11b1b51b651953d2") // uncompressed pubkey + if err != nil { + fmt.Println(err) + return + } + pubKey, err := secp256k1.ParsePubKey(pubKeyBytes) + if err != nil { + fmt.Println(err) + return + } + + // Encrypt a message decryptable by the private key corresponding to pubKey + message := "test message" + ciphertext, err := secp256k1.Encrypt(pubKey, []byte(message)) + if err != nil { + fmt.Println(err) + return + } + + // Decode the hex-encoded private key. + pkBytes, err := hex.DecodeString("a11b0a4e1a132305652ee7a8eb7848f6ad" + + "5ea381e3ce20a2c086a2e388230811") + if err != nil { + fmt.Println(err) + return + } + // note that we already have corresponding pubKey + privKey, _ := secp256k1.PrivKeyFromBytes(pkBytes) + + // Try decrypting and verify if it's the same message. + plaintext, err := secp256k1.Decrypt(privKey, ciphertext) + if err != nil { + fmt.Println(err) + return + } + + fmt.Println(string(plaintext)) + + // Output: + // test message +} + +// This example demonstrates decrypting a message using a private key that is +// first parsed from raw bytes. +func Example_decryptMessage() { + // Decode the hex-encoded private key. + pkBytes, err := hex.DecodeString("a11b0a4e1a132305652ee7a8eb7848f6ad" + + "5ea381e3ce20a2c086a2e388230811") + if err != nil { + fmt.Println(err) + return + } + + privKey, _ := secp256k1.PrivKeyFromBytes(pkBytes) + + ciphertext, err := hex.DecodeString("35f644fbfb208bc71e57684c3c8b437402ca" + + "002047a2f1b38aa1a8f1d5121778378414f708fe13ebf7b4a7bb74407288c1958969" + + "00207cf4ac6057406e40f79961c973309a892732ae7a74ee96cd89823913b8b8d650" + + "a44166dc61ea1c419d47077b748a9c06b8d57af72deb2819d98a9d503efc59fc8307" + + "d14174f8b83354fac3ff56075162") + if err != nil { + fmt.Println(err) + return + } + + // Try decrypting the message. + plaintext, err := secp256k1.Decrypt(privKey, ciphertext) + if err != nil { + fmt.Println(err) + return + } + + fmt.Println(string(plaintext)) + + // Output: + // test message +} diff --git a/crypto/ecc/secp256k1/field.go b/crypto/ecc/secp256k1/field.go new file mode 100644 index 0000000..79ada99 --- /dev/null +++ b/crypto/ecc/secp256k1/field.go @@ -0,0 +1,1220 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Copyright (c) 2013-2014 Dave Collins +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +// References: +// [HAC]: Handbook of Applied Cryptography Menezes, van Oorschot, Vanstone. +// http://cacr.uwaterloo.ca/hac/ + +// All elliptic curve operations for secp256k1 are done in a finite field +// characterized by a 256-bit prime. Given this precision is larger than the +// biggest available native type, obviously some form of bignum math is needed. +// This package implements specialized fixed-precision field arithmetic rather +// than relying on an arbitrary-precision arithmetic package such as math/big +// for dealing with the field math since the size is known. As a result, rather +// large performance gains are achieved by taking advantage of many +// optimizations not available to arbitrary-precision arithmetic and generic +// modular arithmetic algorithms. +// +// There are various ways to internally represent each finite field element. +// For example, the most obvious representation would be to use an array of 4 +// uint64s (64 bits * 4 = 256 bits). However, that representation suffers from +// a couple of issues. First, there is no native Go type large enough to handle +// the intermediate results while adding or multiplying two 64-bit numbers, and +// second there is no space left for overflows when performing the intermediate +// arithmetic between each array element which would lead to expensive carry +// propagation. +// +// Given the above, this implementation represents the the field elements as +// 10 uint32s with each word (array entry) treated as base 2^26. This was +// chosen for the following reasons: +// 1) Most systems at the current time are 64-bit (or at least have 64-bit +// registers available for specialized purposes such as MMX) so the +// intermediate results can typically be done using a native register (and +// using uint64s to avoid the need for additional half-word arithmetic) +// 2) In order to allow addition of the internal words without having to +// propagate the the carry, the max normalized value for each register must +// be less than the number of bits available in the register +// 3) Since we're dealing with 32-bit values, 64-bits of overflow is a +// reasonable choice for #2 +// 4) Given the need for 256-bits of precision and the properties stated in #1, +// #2, and #3, the representation which best accommodates this is 10 uint32s +// with base 2^26 (26 bits * 10 = 260 bits, so the final word only needs 22 +// bits) which leaves the desired 64 bits (32 * 10 = 320, 320 - 256 = 64) for +// overflow +// +// Since it is so important that the field arithmetic is extremely fast for +// high performance crypto, this package does not perform any validation where +// it ordinarily would. For example, some functions only give the correct +// result is the field is normalized and there is no checking to ensure it is. +// While I typically prefer to ensure all state and input is valid for most +// packages, this code is really only used internally and every extra check +// counts. + +import ( + "encoding/hex" +) + +// Constants used to make the code more readable. +const ( + twoBitsMask = 0x3 + fourBitsMask = 0xf + sixBitsMask = 0x3f + eightBitsMask = 0xff +) + +// Constants related to the field representation. +const ( + // fieldWords is the number of words used to internally represent the + // 256-bit value. + fieldWords = 10 + + // fieldBase is the exponent used to form the numeric base of each word. + // 2^(fieldBase*i) where i is the word position. + fieldBase = 26 + + // fieldBaseMask is the mask for the bits in each word needed to + // represent the numeric base of each word (except the most significant + // word). + fieldBaseMask = (1 << fieldBase) - 1 + + // fieldMSBBits is the number of bits in the most significant word used + // to represent the value. + fieldMSBBits = 256 - (fieldBase * (fieldWords - 1)) + + // fieldMSBMask is the mask for the bits in the most significant word + // needed to represent the value. + fieldMSBMask = (1 << fieldMSBBits) - 1 + + // fieldPrimeWordZero is word zero of the secp256k1 prime in the + // internal field representation. It is used during negation. + fieldPrimeWordZero = 0x3fffc2f + + // fieldPrimeWordOne is word one of the secp256k1 prime in the + // internal field representation. It is used during negation. + fieldPrimeWordOne = 0x3ffffbf +) + +// fieldVal implements optimized fixed-precision arithmetic over the +// secp256k1 finite field. This means all arithmetic is performed modulo +// 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f. It +// represents each 256-bit value as 10 32-bit integers in base 2^26. This +// provides 6 bits of overflow in each word (10 bits in the most significant +// word) for a total of 64 bits of overflow (9*6 + 10 = 64). It only implements +// the arithmetic needed for elliptic curve operations. +// +// The following depicts the internal representation: +// ----------------------------------------------------------------- +// | n[9] | n[8] | ... | n[0] | +// | 32 bits available | 32 bits available | ... | 32 bits available | +// | 22 bits for value | 26 bits for value | ... | 26 bits for value | +// | 10 bits overflow | 6 bits overflow | ... | 6 bits overflow | +// | Mult: 2^(26*9) | Mult: 2^(26*8) | ... | Mult: 2^(26*0) | +// ----------------------------------------------------------------- +// +// For example, consider the number 2^49 + 1. It would be represented as: +// n[0] = 1 +// n[1] = 2^23 +// n[2..9] = 0 +// +// The full 256-bit value is then calculated by looping i from 9..0 and +// doing sum(n[i] * 2^(26i)) like so: +// n[9] * 2^(26*9) = 0 * 2^234 = 0 +// n[8] * 2^(26*8) = 0 * 2^208 = 0 +// ... +// n[1] * 2^(26*1) = 2^23 * 2^26 = 2^49 +// n[0] * 2^(26*0) = 1 * 2^0 = 1 +// Sum: 0 + 0 + ... + 2^49 + 1 = 2^49 + 1 +type fieldVal struct { + n [10]uint32 +} + +// String returns the field value as a human-readable hex string. +func (f fieldVal) String() string { + t := new(fieldVal).Set(&f).Normalize() + return hex.EncodeToString(t.Bytes()[:]) +} + +// Zero sets the field value to zero. A newly created field value is already +// set to zero. This function can be useful to clear an existing field value +// for reuse. +func (f *fieldVal) Zero() { + f.n[0] = 0 + f.n[1] = 0 + f.n[2] = 0 + f.n[3] = 0 + f.n[4] = 0 + f.n[5] = 0 + f.n[6] = 0 + f.n[7] = 0 + f.n[8] = 0 + f.n[9] = 0 +} + +// Set sets the field value equal to the passed value. +// +// The field value is returned to support chaining. This enables syntax like: +// f := new(fieldVal).Set(f2).Add(1) so that f = f2 + 1 where f2 is not +// modified. +func (f *fieldVal) Set(val *fieldVal) *fieldVal { + *f = *val + return f +} + +// SetInt sets the field value to the passed integer. This is a convenience +// function since it is fairly common to perform some arithemetic with small +// native integers. +// +// The field value is returned to support chaining. This enables syntax such +// as f := new(fieldVal).SetInt(2).Mul(f2) so that f = 2 * f2. +func (f *fieldVal) SetInt(ui uint) *fieldVal { + f.Zero() + f.n[0] = uint32(ui) + return f +} + +// SetBytes packs the passed 32-byte big-endian value into the internal field +// value representation. +// +// The field value is returned to support chaining. This enables syntax like: +// f := new(fieldVal).SetBytes(byteArray).Mul(f2) so that f = ba * f2. +func (f *fieldVal) SetBytes(b *[32]byte) *fieldVal { + // Pack the 256 total bits across the 10 uint32 words with a max of + // 26-bits per word. This could be done with a couple of for loops, + // but this unrolled version is significantly faster. Benchmarks show + // this is about 34 times faster than the variant which uses loops. + f.n[0] = uint32(b[31]) | uint32(b[30])<<8 | uint32(b[29])<<16 | + (uint32(b[28])&twoBitsMask)<<24 + f.n[1] = uint32(b[28])>>2 | uint32(b[27])<<6 | uint32(b[26])<<14 | + (uint32(b[25])&fourBitsMask)<<22 + f.n[2] = uint32(b[25])>>4 | uint32(b[24])<<4 | uint32(b[23])<<12 | + (uint32(b[22])&sixBitsMask)<<20 + f.n[3] = uint32(b[22])>>6 | uint32(b[21])<<2 | uint32(b[20])<<10 | + uint32(b[19])<<18 + f.n[4] = uint32(b[18]) | uint32(b[17])<<8 | uint32(b[16])<<16 | + (uint32(b[15])&twoBitsMask)<<24 + f.n[5] = uint32(b[15])>>2 | uint32(b[14])<<6 | uint32(b[13])<<14 | + (uint32(b[12])&fourBitsMask)<<22 + f.n[6] = uint32(b[12])>>4 | uint32(b[11])<<4 | uint32(b[10])<<12 | + (uint32(b[9])&sixBitsMask)<<20 + f.n[7] = uint32(b[9])>>6 | uint32(b[8])<<2 | uint32(b[7])<<10 | + uint32(b[6])<<18 + f.n[8] = uint32(b[5]) | uint32(b[4])<<8 | uint32(b[3])<<16 | + (uint32(b[2])&twoBitsMask)<<24 + f.n[9] = uint32(b[2])>>2 | uint32(b[1])<<6 | uint32(b[0])<<14 + return f +} + +// SetByteSlice packs the passed big-endian value into the internal field value +// representation. Only the first 32-bytes are used. As a result, it is up to +// the caller to ensure numbers of the appropriate size are used or the value +// will be truncated. +// +// The field value is returned to support chaining. This enables syntax like: +// f := new(fieldVal).SetByteSlice(byteSlice) +func (f *fieldVal) SetByteSlice(b []byte) *fieldVal { + var b32 [32]byte + for i := 0; i < len(b); i++ { + if i < 32 { + b32[i+(32-len(b))] = b[i] + } + } + return f.SetBytes(&b32) +} + +// SetHex decodes the passed big-endian hex string into the internal field value +// representation. Only the first 32-bytes are used. +// +// The field value is returned to support chaining. This enables syntax like: +// f := new(fieldVal).SetHex("0abc").Add(1) so that f = 0x0abc + 1 +func (f *fieldVal) SetHex(hexString string) *fieldVal { + if len(hexString)%2 != 0 { + hexString = "0" + hexString + } + bytes, _ := hex.DecodeString(hexString) + return f.SetByteSlice(bytes) +} + +// Normalize normalizes the internal field words into the desired range and +// performs fast modular reduction over the secp256k1 prime by making use of the +// special form of the prime. +func (f *fieldVal) Normalize() *fieldVal { + // The field representation leaves 6 bits of overflow in each word so + // intermediate calculations can be performed without needing to + // propagate the carry to each higher word during the calculations. In + // order to normalize, we need to "compact" the full 256-bit value to + // the right while propagating any carries through to the high order + // word. + // + // Since this field is doing arithmetic modulo the secp256k1 prime, we + // also need to perform modular reduction over the prime. + // + // Per [HAC] section 14.3.4: Reduction method of moduli of special form, + // when the modulus is of the special form m = b^t - c, highly efficient + // reduction can be achieved. + // + // The secp256k1 prime is equivalent to 2^256 - 4294968273, so it fits + // this criteria. + // + // 4294968273 in field representation (base 2^26) is: + // n[0] = 977 + // n[1] = 64 + // That is to say (2^26 * 64) + 977 = 4294968273 + // + // The algorithm presented in the referenced section typically repeats + // until the quotient is zero. However, due to our field representation + // we already know to within one reduction how many times we would need + // to repeat as it's the uppermost bits of the high order word. Thus we + // can simply multiply the magnitude by the field representation of the + // prime and do a single iteration. After this step there might be an + // additional carry to bit 256 (bit 22 of the high order word). + t9 := f.n[9] + m := t9 >> fieldMSBBits + t9 = t9 & fieldMSBMask + t0 := f.n[0] + m*977 + t1 := (t0 >> fieldBase) + f.n[1] + (m << 6) + t0 = t0 & fieldBaseMask + t2 := (t1 >> fieldBase) + f.n[2] + t1 = t1 & fieldBaseMask + t3 := (t2 >> fieldBase) + f.n[3] + t2 = t2 & fieldBaseMask + t4 := (t3 >> fieldBase) + f.n[4] + t3 = t3 & fieldBaseMask + t5 := (t4 >> fieldBase) + f.n[5] + t4 = t4 & fieldBaseMask + t6 := (t5 >> fieldBase) + f.n[6] + t5 = t5 & fieldBaseMask + t7 := (t6 >> fieldBase) + f.n[7] + t6 = t6 & fieldBaseMask + t8 := (t7 >> fieldBase) + f.n[8] + t7 = t7 & fieldBaseMask + t9 = (t8 >> fieldBase) + t9 + t8 = t8 & fieldBaseMask + + // At this point, the magnitude is guaranteed to be one, however, the + // value could still be greater than the prime if there was either a + // carry through to bit 256 (bit 22 of the higher order word) or the + // value is greater than or equal to the field characteristic. The + // following determines if either or these conditions are true and does + // the final reduction in constant time. + // + // Note that the if/else statements here intentionally do the bitwise + // operators even when it won't change the value to ensure constant time + // between the branches. Also note that 'm' will be zero when neither + // of the aforementioned conditions are true and the value will not be + // changed when 'm' is zero. + m = 1 + if t9 == fieldMSBMask { + m &= 1 + } else { + m &= 0 + } + if t2&t3&t4&t5&t6&t7&t8 == fieldBaseMask { + m &= 1 + } else { + m &= 0 + } + if ((t0+977)>>fieldBase + t1 + 64) > fieldBaseMask { + m &= 1 + } else { + m &= 0 + } + if t9>>fieldMSBBits != 0 { + m |= 1 + } else { + m |= 0 + } + t0 = t0 + m*977 + t1 = (t0 >> fieldBase) + t1 + (m << 6) + t0 = t0 & fieldBaseMask + t2 = (t1 >> fieldBase) + t2 + t1 = t1 & fieldBaseMask + t3 = (t2 >> fieldBase) + t3 + t2 = t2 & fieldBaseMask + t4 = (t3 >> fieldBase) + t4 + t3 = t3 & fieldBaseMask + t5 = (t4 >> fieldBase) + t5 + t4 = t4 & fieldBaseMask + t6 = (t5 >> fieldBase) + t6 + t5 = t5 & fieldBaseMask + t7 = (t6 >> fieldBase) + t7 + t6 = t6 & fieldBaseMask + t8 = (t7 >> fieldBase) + t8 + t7 = t7 & fieldBaseMask + t9 = (t8 >> fieldBase) + t9 + t8 = t8 & fieldBaseMask + t9 = t9 & fieldMSBMask // Remove potential multiple of 2^256. + + // Finally, set the normalized and reduced words. + f.n[0] = t0 + f.n[1] = t1 + f.n[2] = t2 + f.n[3] = t3 + f.n[4] = t4 + f.n[5] = t5 + f.n[6] = t6 + f.n[7] = t7 + f.n[8] = t8 + f.n[9] = t9 + return f +} + +// PutBytes unpacks the field value to a 32-byte big-endian value using the +// passed byte array. There is a similar function, Bytes, which unpacks the +// field value into a new array and returns that. This version is provided +// since it can be useful to cut down on the number of allocations by allowing +// the caller to reuse a buffer. +// +// The field value must be normalized for this function to return the correct +// result. +func (f *fieldVal) PutBytes(b *[32]byte) { + // Unpack the 256 total bits from the 10 uint32 words with a max of + // 26-bits per word. This could be done with a couple of for loops, + // but this unrolled version is a bit faster. Benchmarks show this is + // about 10 times faster than the variant which uses loops. + b[31] = byte(f.n[0] & eightBitsMask) + b[30] = byte((f.n[0] >> 8) & eightBitsMask) + b[29] = byte((f.n[0] >> 16) & eightBitsMask) + b[28] = byte((f.n[0]>>24)&twoBitsMask | (f.n[1]&sixBitsMask)<<2) + b[27] = byte((f.n[1] >> 6) & eightBitsMask) + b[26] = byte((f.n[1] >> 14) & eightBitsMask) + b[25] = byte((f.n[1]>>22)&fourBitsMask | (f.n[2]&fourBitsMask)<<4) + b[24] = byte((f.n[2] >> 4) & eightBitsMask) + b[23] = byte((f.n[2] >> 12) & eightBitsMask) + b[22] = byte((f.n[2]>>20)&sixBitsMask | (f.n[3]&twoBitsMask)<<6) + b[21] = byte((f.n[3] >> 2) & eightBitsMask) + b[20] = byte((f.n[3] >> 10) & eightBitsMask) + b[19] = byte((f.n[3] >> 18) & eightBitsMask) + b[18] = byte(f.n[4] & eightBitsMask) + b[17] = byte((f.n[4] >> 8) & eightBitsMask) + b[16] = byte((f.n[4] >> 16) & eightBitsMask) + b[15] = byte((f.n[4]>>24)&twoBitsMask | (f.n[5]&sixBitsMask)<<2) + b[14] = byte((f.n[5] >> 6) & eightBitsMask) + b[13] = byte((f.n[5] >> 14) & eightBitsMask) + b[12] = byte((f.n[5]>>22)&fourBitsMask | (f.n[6]&fourBitsMask)<<4) + b[11] = byte((f.n[6] >> 4) & eightBitsMask) + b[10] = byte((f.n[6] >> 12) & eightBitsMask) + b[9] = byte((f.n[6]>>20)&sixBitsMask | (f.n[7]&twoBitsMask)<<6) + b[8] = byte((f.n[7] >> 2) & eightBitsMask) + b[7] = byte((f.n[7] >> 10) & eightBitsMask) + b[6] = byte((f.n[7] >> 18) & eightBitsMask) + b[5] = byte(f.n[8] & eightBitsMask) + b[4] = byte((f.n[8] >> 8) & eightBitsMask) + b[3] = byte((f.n[8] >> 16) & eightBitsMask) + b[2] = byte((f.n[8]>>24)&twoBitsMask | (f.n[9]&sixBitsMask)<<2) + b[1] = byte((f.n[9] >> 6) & eightBitsMask) + b[0] = byte((f.n[9] >> 14) & eightBitsMask) +} + +// Bytes unpacks the field value to a 32-byte big-endian value. See PutBytes +// for a variant that allows the a buffer to be passed which can be useful to +// to cut down on the number of allocations by allowing the caller to reuse a +// buffer. +// +// The field value must be normalized for this function to return correct +// result. +func (f *fieldVal) Bytes() *[32]byte { + b := new([32]byte) + f.PutBytes(b) + return b +} + +// IsZero returns whether or not the field value is equal to zero. +func (f *fieldVal) IsZero() bool { + // The value can only be zero if no bits are set in any of the words. + // This is a constant time implementation. + bits := f.n[0] | f.n[1] | f.n[2] | f.n[3] | f.n[4] | + f.n[5] | f.n[6] | f.n[7] | f.n[8] | f.n[9] + + return bits == 0 +} + +// IsOdd returns whether or not the field value is an odd number. +// +// The field value must be normalized for this function to return correct +// result. +func (f *fieldVal) IsOdd() bool { + // Only odd numbers have the bottom bit set. + return f.n[0]&1 == 1 +} + +// Equals returns whether or not the two field values are the same. Both +// field values being compared must be normalized for this function to return +// the correct result. +func (f *fieldVal) Equals(val *fieldVal) bool { + // Xor only sets bits when they are different, so the two field values + // can only be the same if no bits are set after xoring each word. + // This is a constant time implementation. + bits := (f.n[0] ^ val.n[0]) | (f.n[1] ^ val.n[1]) | (f.n[2] ^ val.n[2]) | + (f.n[3] ^ val.n[3]) | (f.n[4] ^ val.n[4]) | (f.n[5] ^ val.n[5]) | + (f.n[6] ^ val.n[6]) | (f.n[7] ^ val.n[7]) | (f.n[8] ^ val.n[8]) | + (f.n[9] ^ val.n[9]) + + return bits == 0 +} + +// NegateVal negates the passed value and stores the result in f. The caller +// must provide the magnitude of the passed value for a correct result. +// +// The field value is returned to support chaining. This enables syntax like: +// f.NegateVal(f2).AddInt(1) so that f = -f2 + 1. +func (f *fieldVal) NegateVal(val *fieldVal, magnitude uint32) *fieldVal { + // Negation in the field is just the prime minus the value. However, + // in order to allow negation against a field value without having to + // normalize/reduce it first, multiply by the magnitude (that is how + // "far" away it is from the normalized value) to adjust. Also, since + // negating a value pushes it one more order of magnitude away from the + // normalized range, add 1 to compensate. + // + // For some intuition here, imagine you're performing mod 12 arithmetic + // (picture a clock) and you are negating the number 7. So you start at + // 12 (which is of course 0 under mod 12) and count backwards (left on + // the clock) 7 times to arrive at 5. Notice this is just 12-7 = 5. + // Now, assume you're starting with 19, which is a number that is + // already larger than the modulus and congruent to 7 (mod 12). When a + // value is already in the desired range, its magnitude is 1. Since 19 + // is an additional "step", its magnitude (mod 12) is 2. Since any + // multiple of the modulus is conguent to zero (mod m), the answer can + // be shortcut by simply mulplying the magnitude by the modulus and + // subtracting. Keeping with the example, this would be (2*12)-19 = 5. + f.n[0] = (magnitude+1)*fieldPrimeWordZero - val.n[0] + f.n[1] = (magnitude+1)*fieldPrimeWordOne - val.n[1] + f.n[2] = (magnitude+1)*fieldBaseMask - val.n[2] + f.n[3] = (magnitude+1)*fieldBaseMask - val.n[3] + f.n[4] = (magnitude+1)*fieldBaseMask - val.n[4] + f.n[5] = (magnitude+1)*fieldBaseMask - val.n[5] + f.n[6] = (magnitude+1)*fieldBaseMask - val.n[6] + f.n[7] = (magnitude+1)*fieldBaseMask - val.n[7] + f.n[8] = (magnitude+1)*fieldBaseMask - val.n[8] + f.n[9] = (magnitude+1)*fieldMSBMask - val.n[9] + + return f +} + +// Negate negates the field value. The existing field value is modified. The +// caller must provide the magnitude of the field value for a correct result. +// +// The field value is returned to support chaining. This enables syntax like: +// f.Negate().AddInt(1) so that f = -f + 1. +func (f *fieldVal) Negate(magnitude uint32) *fieldVal { + return f.NegateVal(f, magnitude) +} + +// AddInt adds the passed integer to the existing field value and stores the +// result in f. This is a convenience function since it is fairly common to +// perform some arithemetic with small native integers. +// +// The field value is returned to support chaining. This enables syntax like: +// f.AddInt(1).Add(f2) so that f = f + 1 + f2. +func (f *fieldVal) AddInt(ui uint) *fieldVal { + // Since the field representation intentionally provides overflow bits, + // it's ok to use carryless addition as the carry bit is safely part of + // the word and will be normalized out. + f.n[0] += uint32(ui) + + return f +} + +// Add adds the passed value to the existing field value and stores the result +// in f. +// +// The field value is returned to support chaining. This enables syntax like: +// f.Add(f2).AddInt(1) so that f = f + f2 + 1. +func (f *fieldVal) Add(val *fieldVal) *fieldVal { + // Since the field representation intentionally provides overflow bits, + // it's ok to use carryless addition as the carry bit is safely part of + // each word and will be normalized out. This could obviously be done + // in a loop, but the unrolled version is faster. + f.n[0] += val.n[0] + f.n[1] += val.n[1] + f.n[2] += val.n[2] + f.n[3] += val.n[3] + f.n[4] += val.n[4] + f.n[5] += val.n[5] + f.n[6] += val.n[6] + f.n[7] += val.n[7] + f.n[8] += val.n[8] + f.n[9] += val.n[9] + + return f +} + +// Add2 adds the passed two field values together and stores the result in f. +// +// The field value is returned to support chaining. This enables syntax like: +// f3.Add2(f, f2).AddInt(1) so that f3 = f + f2 + 1. +func (f *fieldVal) Add2(val *fieldVal, val2 *fieldVal) *fieldVal { + // Since the field representation intentionally provides overflow bits, + // it's ok to use carryless addition as the carry bit is safely part of + // each word and will be normalized out. This could obviously be done + // in a loop, but the unrolled version is faster. + f.n[0] = val.n[0] + val2.n[0] + f.n[1] = val.n[1] + val2.n[1] + f.n[2] = val.n[2] + val2.n[2] + f.n[3] = val.n[3] + val2.n[3] + f.n[4] = val.n[4] + val2.n[4] + f.n[5] = val.n[5] + val2.n[5] + f.n[6] = val.n[6] + val2.n[6] + f.n[7] = val.n[7] + val2.n[7] + f.n[8] = val.n[8] + val2.n[8] + f.n[9] = val.n[9] + val2.n[9] + + return f +} + +// MulInt multiplies the field value by the passed int and stores the result in +// f. Note that this function can overflow if multiplying the value by any of +// the individual words exceeds a max uint32. Therefore it is important that +// the caller ensures no overflows will occur before using this function. +// +// The field value is returned to support chaining. This enables syntax like: +// f.MulInt(2).Add(f2) so that f = 2 * f + f2. +func (f *fieldVal) MulInt(val uint) *fieldVal { + // Since each word of the field representation can hold up to + // 32 - fieldBase extra bits which will be normalized out, it's safe + // to multiply each word without using a larger type or carry + // propagation so long as the values won't overflow a uint32. This + // could obviously be done in a loop, but the unrolled version is + // faster. + ui := uint32(val) + f.n[0] *= ui + f.n[1] *= ui + f.n[2] *= ui + f.n[3] *= ui + f.n[4] *= ui + f.n[5] *= ui + f.n[6] *= ui + f.n[7] *= ui + f.n[8] *= ui + f.n[9] *= ui + + return f +} + +// Mul multiplies the passed value to the existing field value and stores the +// result in f. Note that this function can overflow if multiplying any +// of the individual words exceeds a max uint32. In practice, this means the +// magnitude of either value involved in the multiplication must be a max of +// 8. +// +// The field value is returned to support chaining. This enables syntax like: +// f.Mul(f2).AddInt(1) so that f = (f * f2) + 1. +func (f *fieldVal) Mul(val *fieldVal) *fieldVal { + return f.Mul2(f, val) +} + +// Mul2 multiplies the passed two field values together and stores the result +// result in f. Note that this function can overflow if multiplying any of +// the individual words exceeds a max uint32. In practice, this means the +// magnitude of either value involved in the multiplication must be a max of +// 8. +// +// The field value is returned to support chaining. This enables syntax like: +// f3.Mul2(f, f2).AddInt(1) so that f3 = (f * f2) + 1. +func (f *fieldVal) Mul2(val *fieldVal, val2 *fieldVal) *fieldVal { + // This could be done with a couple of for loops and an array to store + // the intermediate terms, but this unrolled version is significantly + // faster. + + // Terms for 2^(fieldBase*0). + m := uint64(val.n[0]) * uint64(val2.n[0]) + t0 := m & fieldBaseMask + + // Terms for 2^(fieldBase*1). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[1]) + + uint64(val.n[1])*uint64(val2.n[0]) + t1 := m & fieldBaseMask + + // Terms for 2^(fieldBase*2). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[2]) + + uint64(val.n[1])*uint64(val2.n[1]) + + uint64(val.n[2])*uint64(val2.n[0]) + t2 := m & fieldBaseMask + + // Terms for 2^(fieldBase*3). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[3]) + + uint64(val.n[1])*uint64(val2.n[2]) + + uint64(val.n[2])*uint64(val2.n[1]) + + uint64(val.n[3])*uint64(val2.n[0]) + t3 := m & fieldBaseMask + + // Terms for 2^(fieldBase*4). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[4]) + + uint64(val.n[1])*uint64(val2.n[3]) + + uint64(val.n[2])*uint64(val2.n[2]) + + uint64(val.n[3])*uint64(val2.n[1]) + + uint64(val.n[4])*uint64(val2.n[0]) + t4 := m & fieldBaseMask + + // Terms for 2^(fieldBase*5). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[5]) + + uint64(val.n[1])*uint64(val2.n[4]) + + uint64(val.n[2])*uint64(val2.n[3]) + + uint64(val.n[3])*uint64(val2.n[2]) + + uint64(val.n[4])*uint64(val2.n[1]) + + uint64(val.n[5])*uint64(val2.n[0]) + t5 := m & fieldBaseMask + + // Terms for 2^(fieldBase*6). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[6]) + + uint64(val.n[1])*uint64(val2.n[5]) + + uint64(val.n[2])*uint64(val2.n[4]) + + uint64(val.n[3])*uint64(val2.n[3]) + + uint64(val.n[4])*uint64(val2.n[2]) + + uint64(val.n[5])*uint64(val2.n[1]) + + uint64(val.n[6])*uint64(val2.n[0]) + t6 := m & fieldBaseMask + + // Terms for 2^(fieldBase*7). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[7]) + + uint64(val.n[1])*uint64(val2.n[6]) + + uint64(val.n[2])*uint64(val2.n[5]) + + uint64(val.n[3])*uint64(val2.n[4]) + + uint64(val.n[4])*uint64(val2.n[3]) + + uint64(val.n[5])*uint64(val2.n[2]) + + uint64(val.n[6])*uint64(val2.n[1]) + + uint64(val.n[7])*uint64(val2.n[0]) + t7 := m & fieldBaseMask + + // Terms for 2^(fieldBase*8). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[8]) + + uint64(val.n[1])*uint64(val2.n[7]) + + uint64(val.n[2])*uint64(val2.n[6]) + + uint64(val.n[3])*uint64(val2.n[5]) + + uint64(val.n[4])*uint64(val2.n[4]) + + uint64(val.n[5])*uint64(val2.n[3]) + + uint64(val.n[6])*uint64(val2.n[2]) + + uint64(val.n[7])*uint64(val2.n[1]) + + uint64(val.n[8])*uint64(val2.n[0]) + t8 := m & fieldBaseMask + + // Terms for 2^(fieldBase*9). + m = (m >> fieldBase) + + uint64(val.n[0])*uint64(val2.n[9]) + + uint64(val.n[1])*uint64(val2.n[8]) + + uint64(val.n[2])*uint64(val2.n[7]) + + uint64(val.n[3])*uint64(val2.n[6]) + + uint64(val.n[4])*uint64(val2.n[5]) + + uint64(val.n[5])*uint64(val2.n[4]) + + uint64(val.n[6])*uint64(val2.n[3]) + + uint64(val.n[7])*uint64(val2.n[2]) + + uint64(val.n[8])*uint64(val2.n[1]) + + uint64(val.n[9])*uint64(val2.n[0]) + t9 := m & fieldBaseMask + + // Terms for 2^(fieldBase*10). + m = (m >> fieldBase) + + uint64(val.n[1])*uint64(val2.n[9]) + + uint64(val.n[2])*uint64(val2.n[8]) + + uint64(val.n[3])*uint64(val2.n[7]) + + uint64(val.n[4])*uint64(val2.n[6]) + + uint64(val.n[5])*uint64(val2.n[5]) + + uint64(val.n[6])*uint64(val2.n[4]) + + uint64(val.n[7])*uint64(val2.n[3]) + + uint64(val.n[8])*uint64(val2.n[2]) + + uint64(val.n[9])*uint64(val2.n[1]) + t10 := m & fieldBaseMask + + // Terms for 2^(fieldBase*11). + m = (m >> fieldBase) + + uint64(val.n[2])*uint64(val2.n[9]) + + uint64(val.n[3])*uint64(val2.n[8]) + + uint64(val.n[4])*uint64(val2.n[7]) + + uint64(val.n[5])*uint64(val2.n[6]) + + uint64(val.n[6])*uint64(val2.n[5]) + + uint64(val.n[7])*uint64(val2.n[4]) + + uint64(val.n[8])*uint64(val2.n[3]) + + uint64(val.n[9])*uint64(val2.n[2]) + t11 := m & fieldBaseMask + + // Terms for 2^(fieldBase*12). + m = (m >> fieldBase) + + uint64(val.n[3])*uint64(val2.n[9]) + + uint64(val.n[4])*uint64(val2.n[8]) + + uint64(val.n[5])*uint64(val2.n[7]) + + uint64(val.n[6])*uint64(val2.n[6]) + + uint64(val.n[7])*uint64(val2.n[5]) + + uint64(val.n[8])*uint64(val2.n[4]) + + uint64(val.n[9])*uint64(val2.n[3]) + t12 := m & fieldBaseMask + + // Terms for 2^(fieldBase*13). + m = (m >> fieldBase) + + uint64(val.n[4])*uint64(val2.n[9]) + + uint64(val.n[5])*uint64(val2.n[8]) + + uint64(val.n[6])*uint64(val2.n[7]) + + uint64(val.n[7])*uint64(val2.n[6]) + + uint64(val.n[8])*uint64(val2.n[5]) + + uint64(val.n[9])*uint64(val2.n[4]) + t13 := m & fieldBaseMask + + // Terms for 2^(fieldBase*14). + m = (m >> fieldBase) + + uint64(val.n[5])*uint64(val2.n[9]) + + uint64(val.n[6])*uint64(val2.n[8]) + + uint64(val.n[7])*uint64(val2.n[7]) + + uint64(val.n[8])*uint64(val2.n[6]) + + uint64(val.n[9])*uint64(val2.n[5]) + t14 := m & fieldBaseMask + + // Terms for 2^(fieldBase*15). + m = (m >> fieldBase) + + uint64(val.n[6])*uint64(val2.n[9]) + + uint64(val.n[7])*uint64(val2.n[8]) + + uint64(val.n[8])*uint64(val2.n[7]) + + uint64(val.n[9])*uint64(val2.n[6]) + t15 := m & fieldBaseMask + + // Terms for 2^(fieldBase*16). + m = (m >> fieldBase) + + uint64(val.n[7])*uint64(val2.n[9]) + + uint64(val.n[8])*uint64(val2.n[8]) + + uint64(val.n[9])*uint64(val2.n[7]) + t16 := m & fieldBaseMask + + // Terms for 2^(fieldBase*17). + m = (m >> fieldBase) + + uint64(val.n[8])*uint64(val2.n[9]) + + uint64(val.n[9])*uint64(val2.n[8]) + t17 := m & fieldBaseMask + + // Terms for 2^(fieldBase*18). + m = (m >> fieldBase) + uint64(val.n[9])*uint64(val2.n[9]) + t18 := m & fieldBaseMask + + // What's left is for 2^(fieldBase*19). + t19 := m >> fieldBase + + // At this point, all of the terms are grouped into their respective + // base. + // + // Per [HAC] section 14.3.4: Reduction method of moduli of special form, + // when the modulus is of the special form m = b^t - c, highly efficient + // reduction can be achieved per the provided algorithm. + // + // The secp256k1 prime is equivalent to 2^256 - 4294968273, so it fits + // this criteria. + // + // 4294968273 in field representation (base 2^26) is: + // n[0] = 977 + // n[1] = 64 + // That is to say (2^26 * 64) + 977 = 4294968273 + // + // Since each word is in base 26, the upper terms (t10 and up) start + // at 260 bits (versus the final desired range of 256 bits), so the + // field representation of 'c' from above needs to be adjusted for the + // extra 4 bits by multiplying it by 2^4 = 16. 4294968273 * 16 = + // 68719492368. Thus, the adjusted field representation of 'c' is: + // n[0] = 977 * 16 = 15632 + // n[1] = 64 * 16 = 1024 + // That is to say (2^26 * 1024) + 15632 = 68719492368 + // + // To reduce the final term, t19, the entire 'c' value is needed instead + // of only n[0] because there are no more terms left to handle n[1]. + // This means there might be some magnitude left in the upper bits that + // is handled below. + m = t0 + t10*15632 + t0 = m & fieldBaseMask + m = (m >> fieldBase) + t1 + t10*1024 + t11*15632 + t1 = m & fieldBaseMask + m = (m >> fieldBase) + t2 + t11*1024 + t12*15632 + t2 = m & fieldBaseMask + m = (m >> fieldBase) + t3 + t12*1024 + t13*15632 + t3 = m & fieldBaseMask + m = (m >> fieldBase) + t4 + t13*1024 + t14*15632 + t4 = m & fieldBaseMask + m = (m >> fieldBase) + t5 + t14*1024 + t15*15632 + t5 = m & fieldBaseMask + m = (m >> fieldBase) + t6 + t15*1024 + t16*15632 + t6 = m & fieldBaseMask + m = (m >> fieldBase) + t7 + t16*1024 + t17*15632 + t7 = m & fieldBaseMask + m = (m >> fieldBase) + t8 + t17*1024 + t18*15632 + t8 = m & fieldBaseMask + m = (m >> fieldBase) + t9 + t18*1024 + t19*68719492368 + t9 = m & fieldMSBMask + m = m >> fieldMSBBits + + // At this point, if the magnitude is greater than 0, the overall value + // is greater than the max possible 256-bit value. In particular, it is + // "how many times larger" than the max value it is. + // + // The algorithm presented in [HAC] section 14.3.4 repeats until the + // quotient is zero. However, due to the above, we already know at + // least how many times we would need to repeat as it's the value + // currently in m. Thus we can simply multiply the magnitude by the + // field representation of the prime and do a single iteration. Notice + // that nothing will be changed when the magnitude is zero, so we could + // skip this in that case, however always running regardless allows it + // to run in constant time. The final result will be in the range + // 0 <= result <= prime + (2^64 - c), so it is guaranteed to have a + // magnitude of 1, but it is denormalized. + d := t0 + m*977 + f.n[0] = uint32(d & fieldBaseMask) + d = (d >> fieldBase) + t1 + m*64 + f.n[1] = uint32(d & fieldBaseMask) + f.n[2] = uint32((d >> fieldBase) + t2) + f.n[3] = uint32(t3) + f.n[4] = uint32(t4) + f.n[5] = uint32(t5) + f.n[6] = uint32(t6) + f.n[7] = uint32(t7) + f.n[8] = uint32(t8) + f.n[9] = uint32(t9) + + return f +} + +// Square squares the field value. The existing field value is modified. Note +// that this function can overflow if multiplying any of the individual words +// exceeds a max uint32. In practice, this means the magnitude of the field +// must be a max of 8 to prevent overflow. +// +// The field value is returned to support chaining. This enables syntax like: +// f.Square().Mul(f2) so that f = f^2 * f2. +func (f *fieldVal) Square() *fieldVal { + return f.SquareVal(f) +} + +// SquareVal squares the passed value and stores the result in f. Note that +// this function can overflow if multiplying any of the individual words +// exceeds a max uint32. In practice, this means the magnitude of the field +// being squred must be a max of 8 to prevent overflow. +// +// The field value is returned to support chaining. This enables syntax like: +// f3.SquareVal(f).Mul(f) so that f3 = f^2 * f = f^3. +func (f *fieldVal) SquareVal(val *fieldVal) *fieldVal { + // This could be done with a couple of for loops and an array to store + // the intermediate terms, but this unrolled version is significantly + // faster. + + // Terms for 2^(fieldBase*0). + m := uint64(val.n[0]) * uint64(val.n[0]) + t0 := m & fieldBaseMask + + // Terms for 2^(fieldBase*1). + m = (m >> fieldBase) + 2*uint64(val.n[0])*uint64(val.n[1]) + t1 := m & fieldBaseMask + + // Terms for 2^(fieldBase*2). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[2]) + + uint64(val.n[1])*uint64(val.n[1]) + t2 := m & fieldBaseMask + + // Terms for 2^(fieldBase*3). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[3]) + + 2*uint64(val.n[1])*uint64(val.n[2]) + t3 := m & fieldBaseMask + + // Terms for 2^(fieldBase*4). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[4]) + + 2*uint64(val.n[1])*uint64(val.n[3]) + + uint64(val.n[2])*uint64(val.n[2]) + t4 := m & fieldBaseMask + + // Terms for 2^(fieldBase*5). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[5]) + + 2*uint64(val.n[1])*uint64(val.n[4]) + + 2*uint64(val.n[2])*uint64(val.n[3]) + t5 := m & fieldBaseMask + + // Terms for 2^(fieldBase*6). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[6]) + + 2*uint64(val.n[1])*uint64(val.n[5]) + + 2*uint64(val.n[2])*uint64(val.n[4]) + + uint64(val.n[3])*uint64(val.n[3]) + t6 := m & fieldBaseMask + + // Terms for 2^(fieldBase*7). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[7]) + + 2*uint64(val.n[1])*uint64(val.n[6]) + + 2*uint64(val.n[2])*uint64(val.n[5]) + + 2*uint64(val.n[3])*uint64(val.n[4]) + t7 := m & fieldBaseMask + + // Terms for 2^(fieldBase*8). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[8]) + + 2*uint64(val.n[1])*uint64(val.n[7]) + + 2*uint64(val.n[2])*uint64(val.n[6]) + + 2*uint64(val.n[3])*uint64(val.n[5]) + + uint64(val.n[4])*uint64(val.n[4]) + t8 := m & fieldBaseMask + + // Terms for 2^(fieldBase*9). + m = (m >> fieldBase) + + 2*uint64(val.n[0])*uint64(val.n[9]) + + 2*uint64(val.n[1])*uint64(val.n[8]) + + 2*uint64(val.n[2])*uint64(val.n[7]) + + 2*uint64(val.n[3])*uint64(val.n[6]) + + 2*uint64(val.n[4])*uint64(val.n[5]) + t9 := m & fieldBaseMask + + // Terms for 2^(fieldBase*10). + m = (m >> fieldBase) + + 2*uint64(val.n[1])*uint64(val.n[9]) + + 2*uint64(val.n[2])*uint64(val.n[8]) + + 2*uint64(val.n[3])*uint64(val.n[7]) + + 2*uint64(val.n[4])*uint64(val.n[6]) + + uint64(val.n[5])*uint64(val.n[5]) + t10 := m & fieldBaseMask + + // Terms for 2^(fieldBase*11). + m = (m >> fieldBase) + + 2*uint64(val.n[2])*uint64(val.n[9]) + + 2*uint64(val.n[3])*uint64(val.n[8]) + + 2*uint64(val.n[4])*uint64(val.n[7]) + + 2*uint64(val.n[5])*uint64(val.n[6]) + t11 := m & fieldBaseMask + + // Terms for 2^(fieldBase*12). + m = (m >> fieldBase) + + 2*uint64(val.n[3])*uint64(val.n[9]) + + 2*uint64(val.n[4])*uint64(val.n[8]) + + 2*uint64(val.n[5])*uint64(val.n[7]) + + uint64(val.n[6])*uint64(val.n[6]) + t12 := m & fieldBaseMask + + // Terms for 2^(fieldBase*13). + m = (m >> fieldBase) + + 2*uint64(val.n[4])*uint64(val.n[9]) + + 2*uint64(val.n[5])*uint64(val.n[8]) + + 2*uint64(val.n[6])*uint64(val.n[7]) + t13 := m & fieldBaseMask + + // Terms for 2^(fieldBase*14). + m = (m >> fieldBase) + + 2*uint64(val.n[5])*uint64(val.n[9]) + + 2*uint64(val.n[6])*uint64(val.n[8]) + + uint64(val.n[7])*uint64(val.n[7]) + t14 := m & fieldBaseMask + + // Terms for 2^(fieldBase*15). + m = (m >> fieldBase) + + 2*uint64(val.n[6])*uint64(val.n[9]) + + 2*uint64(val.n[7])*uint64(val.n[8]) + t15 := m & fieldBaseMask + + // Terms for 2^(fieldBase*16). + m = (m >> fieldBase) + + 2*uint64(val.n[7])*uint64(val.n[9]) + + uint64(val.n[8])*uint64(val.n[8]) + t16 := m & fieldBaseMask + + // Terms for 2^(fieldBase*17). + m = (m >> fieldBase) + 2*uint64(val.n[8])*uint64(val.n[9]) + t17 := m & fieldBaseMask + + // Terms for 2^(fieldBase*18). + m = (m >> fieldBase) + uint64(val.n[9])*uint64(val.n[9]) + t18 := m & fieldBaseMask + + // What's left is for 2^(fieldBase*19). + t19 := m >> fieldBase + + // At this point, all of the terms are grouped into their respective + // base. + // + // Per [HAC] section 14.3.4: Reduction method of moduli of special form, + // when the modulus is of the special form m = b^t - c, highly efficient + // reduction can be achieved per the provided algorithm. + // + // The secp256k1 prime is equivalent to 2^256 - 4294968273, so it fits + // this criteria. + // + // 4294968273 in field representation (base 2^26) is: + // n[0] = 977 + // n[1] = 64 + // That is to say (2^26 * 64) + 977 = 4294968273 + // + // Since each word is in base 26, the upper terms (t10 and up) start + // at 260 bits (versus the final desired range of 256 bits), so the + // field representation of 'c' from above needs to be adjusted for the + // extra 4 bits by multiplying it by 2^4 = 16. 4294968273 * 16 = + // 68719492368. Thus, the adjusted field representation of 'c' is: + // n[0] = 977 * 16 = 15632 + // n[1] = 64 * 16 = 1024 + // That is to say (2^26 * 1024) + 15632 = 68719492368 + // + // To reduce the final term, t19, the entire 'c' value is needed instead + // of only n[0] because there are no more terms left to handle n[1]. + // This means there might be some magnitude left in the upper bits that + // is handled below. + m = t0 + t10*15632 + t0 = m & fieldBaseMask + m = (m >> fieldBase) + t1 + t10*1024 + t11*15632 + t1 = m & fieldBaseMask + m = (m >> fieldBase) + t2 + t11*1024 + t12*15632 + t2 = m & fieldBaseMask + m = (m >> fieldBase) + t3 + t12*1024 + t13*15632 + t3 = m & fieldBaseMask + m = (m >> fieldBase) + t4 + t13*1024 + t14*15632 + t4 = m & fieldBaseMask + m = (m >> fieldBase) + t5 + t14*1024 + t15*15632 + t5 = m & fieldBaseMask + m = (m >> fieldBase) + t6 + t15*1024 + t16*15632 + t6 = m & fieldBaseMask + m = (m >> fieldBase) + t7 + t16*1024 + t17*15632 + t7 = m & fieldBaseMask + m = (m >> fieldBase) + t8 + t17*1024 + t18*15632 + t8 = m & fieldBaseMask + m = (m >> fieldBase) + t9 + t18*1024 + t19*68719492368 + t9 = m & fieldMSBMask + m = m >> fieldMSBBits + + // At this point, if the magnitude is greater than 0, the overall value + // is greater than the max possible 256-bit value. In particular, it is + // "how many times larger" than the max value it is. + // + // The algorithm presented in [HAC] section 14.3.4 repeats until the + // quotient is zero. However, due to the above, we already know at + // least how many times we would need to repeat as it's the value + // currently in m. Thus we can simply multiply the magnitude by the + // field representation of the prime and do a single iteration. Notice + // that nothing will be changed when the magnitude is zero, so we could + // skip this in that case, however always running regardless allows it + // to run in constant time. The final result will be in the range + // 0 <= result <= prime + (2^64 - c), so it is guaranteed to have a + // magnitude of 1, but it is denormalized. + n := t0 + m*977 + f.n[0] = uint32(n & fieldBaseMask) + n = (n >> fieldBase) + t1 + m*64 + f.n[1] = uint32(n & fieldBaseMask) + f.n[2] = uint32((n >> fieldBase) + t2) + f.n[3] = uint32(t3) + f.n[4] = uint32(t4) + f.n[5] = uint32(t5) + f.n[6] = uint32(t6) + f.n[7] = uint32(t7) + f.n[8] = uint32(t8) + f.n[9] = uint32(t9) + + return f +} + +// Inverse finds the modular multiplicative inverse of the field value. The +// existing field value is modified. +// +// The field value is returned to support chaining. This enables syntax like: +// f.Inverse().Mul(f2) so that f = f^-1 * f2. +func (f *fieldVal) Inverse() *fieldVal { + // Fermat's little theorem states that for a nonzero number a and prime + // prime p, a^(p-1) = 1 (mod p). Since the multipliciative inverse is + // a*b = 1 (mod p), it follows that b = a*a^(p-2) = a^(p-1) = 1 (mod p). + // Thus, a^(p-2) is the multiplicative inverse. + // + // In order to efficiently compute a^(p-2), p-2 needs to be split into + // a sequence of squares and multipications that minimizes the number of + // multiplications needed (since they are more costly than squarings). + // Intermediate results are saved and reused as well. + // + // The secp256k1 prime - 2 is 2^256 - 4294968275. + // + // This has a cost of 258 field squarings and 33 field multiplications. + var a2, a3, a4, a10, a11, a21, a42, a45, a63, a1019, a1023 fieldVal + a2.SquareVal(f) + a3.Mul2(&a2, f) + a4.SquareVal(&a2) + a10.SquareVal(&a4).Mul(&a2) + a11.Mul2(&a10, f) + a21.Mul2(&a10, &a11) + a42.SquareVal(&a21) + a45.Mul2(&a42, &a3) + a63.Mul2(&a42, &a21) + a1019.SquareVal(&a63).Square().Square().Square().Mul(&a11) + a1023.Mul2(&a1019, &a4) + f.Set(&a63) // f = a^(2^6 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^11 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^16 - 1024) + f.Mul(&a1023) // f = a^(2^16 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^21 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^26 - 1024) + f.Mul(&a1023) // f = a^(2^26 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^31 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^36 - 1024) + f.Mul(&a1023) // f = a^(2^36 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^41 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^46 - 1024) + f.Mul(&a1023) // f = a^(2^46 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^51 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^56 - 1024) + f.Mul(&a1023) // f = a^(2^56 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^61 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^66 - 1024) + f.Mul(&a1023) // f = a^(2^66 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^71 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^76 - 1024) + f.Mul(&a1023) // f = a^(2^76 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^81 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^86 - 1024) + f.Mul(&a1023) // f = a^(2^86 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^91 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^96 - 1024) + f.Mul(&a1023) // f = a^(2^96 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^101 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^106 - 1024) + f.Mul(&a1023) // f = a^(2^106 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^111 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^116 - 1024) + f.Mul(&a1023) // f = a^(2^116 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^121 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^126 - 1024) + f.Mul(&a1023) // f = a^(2^126 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^131 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^136 - 1024) + f.Mul(&a1023) // f = a^(2^136 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^141 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^146 - 1024) + f.Mul(&a1023) // f = a^(2^146 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^151 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^156 - 1024) + f.Mul(&a1023) // f = a^(2^156 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^161 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^166 - 1024) + f.Mul(&a1023) // f = a^(2^166 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^171 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^176 - 1024) + f.Mul(&a1023) // f = a^(2^176 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^181 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^186 - 1024) + f.Mul(&a1023) // f = a^(2^186 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^191 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^196 - 1024) + f.Mul(&a1023) // f = a^(2^196 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^201 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^206 - 1024) + f.Mul(&a1023) // f = a^(2^206 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^211 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^216 - 1024) + f.Mul(&a1023) // f = a^(2^216 - 1) + f.Square().Square().Square().Square().Square() // f = a^(2^221 - 32) + f.Square().Square().Square().Square().Square() // f = a^(2^226 - 1024) + f.Mul(&a1019) // f = a^(2^226 - 5) + f.Square().Square().Square().Square().Square() // f = a^(2^231 - 160) + f.Square().Square().Square().Square().Square() // f = a^(2^236 - 5120) + f.Mul(&a1023) // f = a^(2^236 - 4097) + f.Square().Square().Square().Square().Square() // f = a^(2^241 - 131104) + f.Square().Square().Square().Square().Square() // f = a^(2^246 - 4195328) + f.Mul(&a1023) // f = a^(2^246 - 4194305) + f.Square().Square().Square().Square().Square() // f = a^(2^251 - 134217760) + f.Square().Square().Square().Square().Square() // f = a^(2^256 - 4294968320) + return f.Mul(&a45) // f = a^(2^256 - 4294968275) = a^(p-2) +} diff --git a/crypto/ecc/secp256k1/field_test.go b/crypto/ecc/secp256k1/field_test.go new file mode 100644 index 0000000..a15cdc1 --- /dev/null +++ b/crypto/ecc/secp256k1/field_test.go @@ -0,0 +1,823 @@ +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Copyright (c) 2013-2017 Dave Collins +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "reflect" + "testing" +) + +// TestSetInt ensures that setting a field value to various native integers +// works as expected. +func TestSetInt(t *testing.T) { + tests := []struct { + in uint + raw [10]uint32 + }{ + {5, [10]uint32{5, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, + // 2^26 + {67108864, [10]uint32{67108864, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, + // 2^26 + 1 + {67108865, [10]uint32{67108865, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, + // 2^32 - 1 + {4294967295, [10]uint32{4294967295, 0, 0, 0, 0, 0, 0, 0, 0, 0}}, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetInt(test.in) + if !reflect.DeepEqual(f.n, test.raw) { + t.Errorf("fieldVal.Set #%d wrong result\ngot: %v\n"+ + "want: %v", i, f.n, test.raw) + continue + } + } +} + +// TestZero ensures that zeroing a field value zero works as expected. +func TestZero(t *testing.T) { + f := new(fieldVal).SetInt(2) + f.Zero() + for idx, rawInt := range f.n { + if rawInt != 0 { + t.Errorf("internal field integer at index #%d is not "+ + "zero - got %d", idx, rawInt) + } + } +} + +// TestIsZero ensures that checking if a field IsZero works as expected. +func TestIsZero(t *testing.T) { + f := new(fieldVal) + if !f.IsZero() { + t.Errorf("new field value is not zero - got %v (rawints %x)", f, + f.n) + } + + f.SetInt(1) + if f.IsZero() { + t.Errorf("field claims it's zero when it's not - got %v "+ + "(raw rawints %x)", f, f.n) + } + + f.Zero() + if !f.IsZero() { + t.Errorf("field claims it's not zero when it is - got %v "+ + "(raw rawints %x)", f, f.n) + } +} + +// TestStringer ensures the stringer returns the appropriate hex string. +func TestStringer(t *testing.T) { + tests := []struct { + in string + expected string + }{ + {"0", "0000000000000000000000000000000000000000000000000000000000000000"}, + {"1", "0000000000000000000000000000000000000000000000000000000000000001"}, + {"a", "000000000000000000000000000000000000000000000000000000000000000a"}, + {"b", "000000000000000000000000000000000000000000000000000000000000000b"}, + {"c", "000000000000000000000000000000000000000000000000000000000000000c"}, + {"d", "000000000000000000000000000000000000000000000000000000000000000d"}, + {"e", "000000000000000000000000000000000000000000000000000000000000000e"}, + {"f", "000000000000000000000000000000000000000000000000000000000000000f"}, + {"f0", "00000000000000000000000000000000000000000000000000000000000000f0"}, + // 2^26-1 + { + "3ffffff", + "0000000000000000000000000000000000000000000000000000000003ffffff", + }, + // 2^32-1 + { + "ffffffff", + "00000000000000000000000000000000000000000000000000000000ffffffff", + }, + // 2^64-1 + { + "ffffffffffffffff", + "000000000000000000000000000000000000000000000000ffffffffffffffff", + }, + // 2^96-1 + { + "ffffffffffffffffffffffff", + "0000000000000000000000000000000000000000ffffffffffffffffffffffff", + }, + // 2^128-1 + { + "ffffffffffffffffffffffffffffffff", + "00000000000000000000000000000000ffffffffffffffffffffffffffffffff", + }, + // 2^160-1 + { + "ffffffffffffffffffffffffffffffffffffffff", + "000000000000000000000000ffffffffffffffffffffffffffffffffffffffff", + }, + // 2^192-1 + { + "ffffffffffffffffffffffffffffffffffffffffffffffff", + "0000000000000000ffffffffffffffffffffffffffffffffffffffffffffffff", + }, + // 2^224-1 + { + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + "00000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + }, + // 2^256-4294968273 (the secp256k1 prime, so should result in 0) + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", + "0000000000000000000000000000000000000000000000000000000000000000", + }, + // 2^256-4294968274 (the secp256k1 prime+1, so should result in 1) + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", + "0000000000000000000000000000000000000000000000000000000000000001", + }, + + // Invalid hex + {"g", "0000000000000000000000000000000000000000000000000000000000000000"}, + {"1h", "0000000000000000000000000000000000000000000000000000000000000000"}, + {"i1", "0000000000000000000000000000000000000000000000000000000000000000"}, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in) + result := f.String() + if result != test.expected { + t.Errorf("fieldVal.String #%d wrong result\ngot: %v\n"+ + "want: %v", i, result, test.expected) + continue + } + } +} + +// TestNormalize ensures that normalizing the internal field words works as +// expected. +func TestNormalize(t *testing.T) { + tests := []struct { + raw [10]uint32 // Intentionally denormalized value + normalized [10]uint32 // Normalized form of the raw value + }{ + { + [10]uint32{0x00000005, 0, 0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000005, 0, 0, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^26 + { + [10]uint32{0x04000000, 0x0, 0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000000, 0x1, 0, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^26 + 1 + { + [10]uint32{0x04000001, 0x0, 0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000001, 0x1, 0, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^32 - 1 + { + [10]uint32{0xffffffff, 0x00, 0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x03ffffff, 0x3f, 0, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^32 + { + [10]uint32{0x04000000, 0x3f, 0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000000, 0x40, 0, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^32 + 1 + { + [10]uint32{0x04000001, 0x3f, 0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000001, 0x40, 0, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^64 - 1 + { + [10]uint32{0xffffffff, 0xffffffc0, 0xfc0, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x03ffffff, 0x03ffffff, 0xfff, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^64 + { + [10]uint32{0x04000000, 0x03ffffff, 0x0fff, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000000, 0x00000000, 0x1000, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^64 + 1 + { + [10]uint32{0x04000001, 0x03ffffff, 0x0fff, 0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000001, 0x00000000, 0x1000, 0, 0, 0, 0, 0, 0, 0}, + }, + // 2^96 - 1 + { + [10]uint32{0xffffffff, 0xffffffc0, 0xffffffc0, 0x3ffc0, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x03ffffff, 0x03ffffff, 0x03ffffff, 0x3ffff, 0, 0, 0, 0, 0, 0}, + }, + // 2^96 + { + [10]uint32{0x04000000, 0x03ffffff, 0x03ffffff, 0x3ffff, 0, 0, 0, 0, 0, 0}, + [10]uint32{0x00000000, 0x00000000, 0x00000000, 0x40000, 0, 0, 0, 0, 0, 0}, + }, + // 2^128 - 1 + { + [10]uint32{0xffffffff, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffc0, 0, 0, 0, 0, 0}, + [10]uint32{0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0xffffff, 0, 0, 0, 0, 0}, + }, + // 2^128 + { + [10]uint32{0x04000000, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x0ffffff, 0, 0, 0, 0, 0}, + [10]uint32{0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1000000, 0, 0, 0, 0, 0}, + }, + // 2^256 - 4294968273 (secp256k1 prime) + { + [10]uint32{0xfffffc2f, 0xffffff80, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0x3fffc0}, + [10]uint32{0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000}, + }, + // Prime larger than P where both first and second words are larger + // than P's first and second words + { + [10]uint32{0xfffffc30, 0xffffff86, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0x3fffc0}, + [10]uint32{0x00000001, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000}, + }, + // Prime larger than P where only the second word is larger + // than P's second words. + { + [10]uint32{0xfffffc2a, 0xffffff87, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0x3fffc0}, + [10]uint32{0x03fffffb, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000}, + }, + // 2^256 - 1 + { + [10]uint32{0xffffffff, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0xffffffc0, 0x3fffc0}, + [10]uint32{0x000003d0, 0x00000040, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000}, + }, + // Prime with field representation such that the initial + // reduction does not result in a carry to bit 256. + // + // 2^256 - 4294968273 (secp256k1 prime) + { + [10]uint32{0x03fffc2f, 0x03ffffbf, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x003fffff}, + [10]uint32{0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + }, + // Prime larger than P that reduces to a value which is still + // larger than P when it has a magnitude of 1 due to its first + // word and does not result in a carry to bit 256. + // + // 2^256 - 4294968272 (secp256k1 prime + 1) + { + [10]uint32{0x03fffc30, 0x03ffffbf, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x003fffff}, + [10]uint32{0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + }, + // Prime larger than P that reduces to a value which is still + // larger than P when it has a magnitude of 1 due to its second + // word and does not result in a carry to bit 256. + // + // 2^256 - 4227859409 (secp256k1 prime + 0x4000000) + { + [10]uint32{0x03fffc2f, 0x03ffffc0, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x003fffff}, + [10]uint32{0x00000000, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + }, + // Prime larger than P that reduces to a value which is still + // larger than P when it has a magnitude of 1 due to a carry to + // bit 256, but would not be without the carry. These values + // come from the fact that P is 2^256 - 4294968273 and 977 is + // the low order word in the internal field representation. + // + // 2^256 * 5 - ((4294968273 - (977+1)) * 4) + { + [10]uint32{0x03ffffff, 0x03fffeff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x0013fffff}, + [10]uint32{0x00001314, 0x00000040, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000000}, + }, + // Prime larger than P that reduces to a value which is still + // larger than P when it has a magnitude of 1 due to both a + // carry to bit 256 and the first word. + { + [10]uint32{0x03fffc30, 0x03ffffbf, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x07ffffff, 0x003fffff}, + [10]uint32{0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001}, + }, + // Prime larger than P that reduces to a value which is still + // larger than P when it has a magnitude of 1 due to both a + // carry to bit 256 and the second word. + // + { + [10]uint32{0x03fffc2f, 0x03ffffc0, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x3ffffff, 0x07ffffff, 0x003fffff}, + [10]uint32{0x00000000, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000, 0x00000000, 0x00000001}, + }, + // Prime larger than P that reduces to a value which is still + // larger than P when it has a magnitude of 1 due to a carry to + // bit 256 and the first and second words. + // + { + [10]uint32{0x03fffc30, 0x03ffffc0, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x07ffffff, 0x003fffff}, + [10]uint32{0x00000001, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001}, + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal) + f.n = test.raw + f.Normalize() + if !reflect.DeepEqual(f.n, test.normalized) { + t.Errorf("fieldVal.Set #%d wrong normalized result\n"+ + "got: %x\nwant: %x", i, f.n, test.normalized) + continue + } + } +} + +// TestIsOdd ensures that checking if a field value IsOdd works as expected. +func TestIsOdd(t *testing.T) { + tests := []struct { + in string // hex encoded value + expected bool // expected oddness + }{ + {"0", false}, + {"1", true}, + {"2", false}, + // 2^32 - 1 + {"ffffffff", true}, + // 2^64 - 2 + {"fffffffffffffffe", false}, + // secp256k1 prime + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", true}, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in) + result := f.IsOdd() + if result != test.expected { + t.Errorf("fieldVal.IsOdd #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, test.expected) + continue + } + } +} + +// TestEquals ensures that checking two field values for equality via Equals +// works as expected. +func TestEquals(t *testing.T) { + tests := []struct { + in1 string // hex encoded value + in2 string // hex encoded value + expected bool // expected equality + }{ + {"0", "0", true}, + {"0", "1", false}, + {"1", "0", false}, + // 2^32 - 1 == 2^32 - 1? + {"ffffffff", "ffffffff", true}, + // 2^64 - 1 == 2^64 - 2? + {"ffffffffffffffff", "fffffffffffffffe", false}, + // 0 == prime (mod prime)? + {"0", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", true}, + // 1 == prime+1 (mod prime)? + {"1", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc30", true}, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in1).Normalize() + f2 := new(fieldVal).SetHex(test.in2).Normalize() + result := f.Equals(f2) + if result != test.expected { + t.Errorf("fieldVal.Equals #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, test.expected) + continue + } + } +} + +// TestNegate ensures that negating field values via Negate works as expected. +func TestNegate(t *testing.T) { + tests := []struct { + in string // hex encoded value + expected string // expected hex encoded value + }{ + // secp256k1 prime (aka 0) + {"0", "0"}, + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "0"}, + {"0", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"}, + // secp256k1 prime-1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", "1"}, + {"1", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e"}, + // secp256k1 prime-2 + {"2", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2d"}, + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2d", "2"}, + // Random sampling + { + "b3d9aac9c5e43910b4385b53c7e78c21d4cd5f8e683c633aed04c233efc2e120", + "4c2655363a1bc6ef4bc7a4ac381873de2b32a07197c39cc512fb3dcb103d1b0f", + }, + { + "f8a85984fee5a12a7c8dd08830d83423c937d77c379e4a958e447a25f407733f", + "757a67b011a5ed583722f77cf27cbdc36c82883c861b56a71bb85d90bf888f0", + }, + { + "45ee6142a7fda884211e93352ed6cb2807800e419533be723a9548823ece8312", + "ba119ebd5802577bdee16ccad12934d7f87ff1be6acc418dc56ab77cc131791d", + }, + { + "53c2a668f07e411a2e473e1c3b6dcb495dec1227af27673761d44afe5b43d22b", + "ac3d59970f81bee5d1b8c1e3c49234b6a213edd850d898c89e2bb500a4bc2a04", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.Negate(1).Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.Negate #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestAddInt ensures that adding an integer to field values via AddInt works as +// expected. +func TestAddInt(t *testing.T) { + tests := []struct { + in1 string // hex encoded value + in2 uint // unsigned integer to add to the value above + expected string // expected hex encoded value + }{ + {"0", 1, "1"}, + {"1", 0, "1"}, + {"1", 1, "2"}, + // secp256k1 prime-1 + 1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", 1, "0"}, + // secp256k1 prime + 1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", 1, "1"}, + // Random samples. + { + "ff95ad9315aff04ab4af0ce673620c7145dc85d03bab5ba4b09ca2c4dec2d6c1", + 0x10f, + "ff95ad9315aff04ab4af0ce673620c7145dc85d03bab5ba4b09ca2c4dec2d7d0", + }, + { + "44bdae6b772e7987941f1ba314e6a5b7804a4c12c00961b57d20f41deea9cecf", + 0x2cf11d41, + "44bdae6b772e7987941f1ba314e6a5b7804a4c12c00961b57d20f41e1b9aec10", + }, + { + "88c3ecae67b591935fb1f6a9499c35315ffad766adca665c50b55f7105122c9c", + 0x4829aa2d, + "88c3ecae67b591935fb1f6a9499c35315ffad766adca665c50b55f714d3bd6c9", + }, + { + "8523e9edf360ca32a95aae4e57fcde5a542b471d08a974d94ea0ee09a015e2a6", + 0xa21265a5, + "8523e9edf360ca32a95aae4e57fcde5a542b471d08a974d94ea0ee0a4228484b", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in1).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.AddInt(test.in2).Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.AddInt #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestAdd ensures that adding two field values together via Add works as +// expected. +func TestAdd(t *testing.T) { + tests := []struct { + in1 string // first hex encoded value + in2 string // second hex encoded value to add + expected string // expected hex encoded value + }{ + {"0", "1", "1"}, + {"1", "0", "1"}, + {"1", "1", "2"}, + // secp256k1 prime-1 + 1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", "1", "0"}, + // secp256k1 prime + 1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "1", "1"}, + // Random samples. + { + "2b2012f975404e5065b4292fb8bed0a5d315eacf24c74d8b27e73bcc5430edcc", + "2c3cefa4e4753e8aeec6ac4c12d99da4d78accefda3b7885d4c6bab46c86db92", + "575d029e59b58cdb547ad57bcb986e4aaaa0b7beff02c610fcadf680c0b7c95e", + }, + { + "8131e8722fe59bb189692b96c9f38de92885730f1dd39ab025daffb94c97f79c", + "ff5454b765f0aab5f0977dcc629becc84cabeb9def48e79c6aadb2622c490fa9", + "80863d2995d646677a00a9632c8f7ab175315ead0d1c824c9088b21c78e10b16", + }, + { + "c7c95e93d0892b2b2cdd77e80eb646ea61be7a30ac7e097e9f843af73fad5c22", + "3afe6f91a74dfc1c7f15c34907ee981656c37236d946767dd53ccad9190e437c", + "02c7ce2577d72747abf33b3116a4df00b881ec6785c47ffc74c105d158bba36f", + }, + { + "fd1c26f6a23381e5d785ba889494ec059369b888ad8431cd67d8c934b580dbe1", + "a475aa5a31dcca90ef5b53c097d9133d6b7117474b41e7877bb199590fc0489c", + "a191d150d4104c76c6e10e492c6dff42fedacfcff8c61954e38a628ec541284e", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in1).Normalize() + f2 := new(fieldVal).SetHex(test.in2).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.Add(f2).Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.Add #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestAdd2 ensures that adding two field values together via Add2 works as +// expected. +func TestAdd2(t *testing.T) { + tests := []struct { + in1 string // first hex encoded value + in2 string // second hex encoded value to add + expected string // expected hex encoded value + }{ + {"0", "1", "1"}, + {"1", "0", "1"}, + {"1", "1", "2"}, + // secp256k1 prime-1 + 1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", "1", "0"}, + // secp256k1 prime + 1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "1", "1"}, + // close but over the secp256k1 prime + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffff000000000", "f1ffff000", "1ffff3d1"}, + // Random samples. + { + "ad82b8d1cc136e23e9fd77fe2c7db1fe5a2ecbfcbde59ab3529758334f862d28", + "4d6a4e95d6d61f4f46b528bebe152d408fd741157a28f415639347a84f6f574b", + "faed0767a2e98d7330b2a0bcea92df3eea060d12380e8ec8b62a9fdb9ef58473", + }, + { + "f3f43a2540054a86e1df98547ec1c0e157b193e5350fb4a3c3ea214b228ac5e7", + "25706572592690ea3ddc951a1b48b504a4c83dc253756e1b96d56fdfb3199522", + "19649f97992bdb711fbc2d6e9a0a75e5fc79d1a7888522bf5abf912bd5a45eda", + }, + { + "6915bb94eef13ff1bb9b2633d997e13b9b1157c713363cc0e891416d6734f5b8", + "11f90d6ac6fe1c4e8900b1c85fb575c251ec31b9bc34b35ada0aea1c21eded22", + "7b0ec8ffb5ef5c40449bd7fc394d56fdecfd8980cf6af01bc29c2b898922e2da", + }, + { + "48b0c9eae622eed9335b747968544eb3e75cb2dc8128388f948aa30f88cabde4", + "0989882b52f85f9d524a3a3061a0e01f46d597839d2ba637320f4b9510c8d2d5", + "523a5216391b4e7685a5aea9c9f52ed32e324a601e53dec6c699eea4999390b9", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in1).Normalize() + f2 := new(fieldVal).SetHex(test.in2).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.Add2(f, f2).Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.Add2 #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestMulInt ensures that adding an integer to field values via MulInt works as +// expected. +func TestMulInt(t *testing.T) { + tests := []struct { + in1 string // hex encoded value + in2 uint // unsigned integer to multiply with value above + expected string // expected hex encoded value + }{ + {"0", 0, "0"}, + {"1", 0, "0"}, + {"0", 1, "0"}, + {"1", 1, "1"}, + // secp256k1 prime-1 * 2 + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + 2, + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2d", + }, + // secp256k1 prime * 3 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", 3, "0"}, + // secp256k1 prime-1 * 8 + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + 8, + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc27", + }, + // Random samples for first value. The second value is limited + // to 8 since that is the maximum int used in the elliptic curve + // calculations. + { + "b75674dc9180d306c692163ac5e089f7cef166af99645c0c23568ab6d967288a", + 6, + "4c06bd2b6904f228a76c8560a3433bced9a8681d985a2848d407404d186b0280", + }, + { + "54873298ac2b5ba8591c125ae54931f5ea72040aee07b208d6135476fb5b9c0e", + 3, + "fd9597ca048212f90b543710afdb95e1bf560c20ca17161a8239fd64f212d42a", + }, + { + "7c30fbd363a74c17e1198f56b090b59bbb6c8755a74927a6cba7a54843506401", + 5, + "6cf4eb20f2447c77657fccb172d38c0aa91ea4ac446dc641fa463a6b5091fba7", + }, + { + "fb4529be3e027a3d1587d8a500b72f2d312e3577340ef5175f96d113be4c2ceb", + 8, + "da294df1f013d1e8ac3ec52805b979698971abb9a077a8bafcb688a4f261820f", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in1).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.MulInt(test.in2).Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.MulInt #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestMul ensures that multiplying two field valuess via Mul works as expected. +func TestMul(t *testing.T) { + tests := []struct { + in1 string // first hex encoded value + in2 string // second hex encoded value to multiply with + expected string // expected hex encoded value + }{ + {"0", "0", "0"}, + {"1", "0", "0"}, + {"0", "1", "0"}, + {"1", "1", "1"}, + // slightly over prime + { + "ffffffffffffffffffffffffffffffffffffffffffffffffffffffff1ffff", + "1000", + "1ffff3d1", + }, + // secp256k1 prime-1 * 2 + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "2", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2d", + }, + // secp256k1 prime * 3 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "3", "0"}, + // secp256k1 prime-1 * 8 + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "8", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc27", + }, + // Random samples. + { + "cfb81753d5ef499a98ecc04c62cb7768c2e4f1740032946db1c12e405248137e", + "58f355ad27b4d75fb7db0442452e732c436c1f7c5a7c4e214fa9cc031426a7d3", + "1018cd2d7c2535235b71e18db9cd98027386328d2fa6a14b36ec663c4c87282b", + }, + { + "26e9d61d1cdf3920e9928e85fa3df3e7556ef9ab1d14ec56d8b4fc8ed37235bf", + "2dfc4bbe537afee979c644f8c97b31e58be5296d6dbc460091eae630c98511cf", + "da85f48da2dc371e223a1ae63bd30b7e7ee45ae9b189ac43ff357e9ef8cf107a", + }, + { + "5db64ed5afb71646c8b231585d5b2bf7e628590154e0854c4c29920b999ff351", + "279cfae5eea5d09ade8e6a7409182f9de40981bc31c84c3d3dfe1d933f152e9a", + "2c78fbae91792dd0b157abe3054920049b1879a7cc9d98cfda927d83be411b37", + }, + { + "b66dfc1f96820b07d2bdbd559c19319a3a73c97ceb7b3d662f4fe75ecb6819e6", + "bf774aba43e3e49eb63a6e18037d1118152568f1a3ac4ec8b89aeb6ff8008ae1", + "c4f016558ca8e950c21c3f7fc15f640293a979c7b01754ee7f8b3340d4902ebb", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in1).Normalize() + f2 := new(fieldVal).SetHex(test.in2).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.Mul(f2).Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.Mul #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestSquare ensures that squaring field values via Square works as expected. +func TestSquare(t *testing.T) { + tests := []struct { + in string // hex encoded value + expected string // expected hex encoded value + }{ + // secp256k1 prime (aka 0) + {"0", "0"}, + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "0"}, + {"0", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"}, + // secp256k1 prime-1 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", "1"}, + // secp256k1 prime-2 + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2d", "4"}, + // Random sampling + { + "b0ba920360ea8436a216128047aab9766d8faf468895eb5090fc8241ec758896", + "133896b0b69fda8ce9f648b9a3af38f345290c9eea3cbd35bafcadf7c34653d3", + }, + { + "c55d0d730b1d0285a1599995938b042a756e6e8857d390165ffab480af61cbd5", + "cd81758b3f5877cbe7e5b0a10cebfa73bcbf0957ca6453e63ee8954ab7780bee", + }, + { + "e89c1f9a70d93651a1ba4bca5b78658f00de65a66014a25544d3365b0ab82324", + "39ffc7a43e5dbef78fd5d0354fb82c6d34f5a08735e34df29da14665b43aa1f", + }, + { + "7dc26186079d22bcbe1614aa20ae627e62d72f9be7ad1e99cac0feb438956f05", + "bf86bcfc4edb3d81f916853adfda80c07c57745b008b60f560b1912f95bce8ae", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.Square().Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.Square #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} + +// TestInverse ensures that finding the multiplicative inverse via Inverse works +// as expected. +func TestInverse(t *testing.T) { + tests := []struct { + in string // hex encoded value + expected string // expected hex encoded value + }{ + // secp256k1 prime (aka 0) + {"0", "0"}, + {"fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f", "0"}, + {"0", "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f"}, + // secp256k1 prime-1 + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2e", + }, + // secp256k1 prime-2 + { + "fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2d", + "7fffffffffffffffffffffffffffffffffffffffffffffffffffffff7ffffe17", + }, + // Random sampling + { + "16fb970147a9acc73654d4be233cc48b875ce20a2122d24f073d29bd28805aca", + "987aeb257b063df0c6d1334051c47092b6d8766c4bf10c463786d93f5bc54354", + }, + { + "69d1323ce9f1f7b3bd3c7320b0d6311408e30281e273e39a0d8c7ee1c8257919", + "49340981fa9b8d3dad72de470b34f547ed9179c3953797d0943af67806f4bb6", + }, + { + "e0debf988ae098ecda07d0b57713e97c6d213db19753e8c95aa12a2fc1cc5272", + "64f58077b68af5b656b413ea366863f7b2819f8d27375d9c4d9804135ca220c2", + }, + { + "dcd394f91f74c2ba16aad74a22bb0ed47fe857774b8f2d6c09e28bfb14642878", + "fb848ec64d0be572a63c38fe83df5e7f3d032f60bf8c969ef67d36bf4ada22a9", + }, + } + + t.Logf("Running %d tests", len(tests)) + for i, test := range tests { + f := new(fieldVal).SetHex(test.in).Normalize() + expected := new(fieldVal).SetHex(test.expected).Normalize() + result := f.Inverse().Normalize() + if !result.Equals(expected) { + t.Errorf("fieldVal.Inverse #%d wrong result\n"+ + "got: %v\nwant: %v", i, result, expected) + continue + } + } +} diff --git a/crypto/ecc/secp256k1/genprecomps.go b/crypto/ecc/secp256k1/genprecomps.go new file mode 100644 index 0000000..715ba97 --- /dev/null +++ b/crypto/ecc/secp256k1/genprecomps.go @@ -0,0 +1,62 @@ +// Copyright 2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// This file is ignored during the regular build due to the following build tag. +// It is called by go generate and used to automatically generate pre-computed +// tables used to accelerate operations. +// +build ignore + +package main + +import ( + "bytes" + "compress/zlib" + "encoding/base64" + "fmt" + "log" + "os" +) + +func main() { + fi, err := os.Create("secp256k1.go") + if err != nil { + log.Fatal(err) + } + defer fi.Close() + + // Compress the serialized byte points. + serialized := secp256k1.S256().SerializedBytePoints() + var compressed bytes.Buffer + w := zlib.NewWriter(&compressed) + if _, err := w.Write(serialized); err != nil { + fmt.Println(err) + os.Exit(1) + } + w.Close() + + // Encode the compressed byte points with base64. + encoded := make([]byte, base64.StdEncoding.EncodedLen(compressed.Len())) + base64.StdEncoding.Encode(encoded, compressed.Bytes()) + + fmt.Fprintln(fi, "// Copyright (c) 2015 The btcsuite developers") + fmt.Fprintln(fi, "// Use of this source code is governed by an ISC") + fmt.Fprintln(fi, "// license that can be found in the LICENSE file.") + fmt.Fprintln(fi) + fmt.Fprintln(fi, "package secp256k1") + fmt.Fprintln(fi) + fmt.Fprintln(fi, "// Auto-generated file (see genprecomps.go)") + fmt.Fprintln(fi, "// DO NOT EDIT") + fmt.Fprintln(fi) + fmt.Fprintf(fi, "var secp256k1BytePoints = %q\n", string(encoded)) + + a1, b1, a2, b2 := secp256k1.S256().EndomorphismVectors() + fmt.Println("The following values are the computed linearly " + + "independent vectors needed to make use of the secp256k1 " + + "endomorphism:") + fmt.Printf("a1: %x\n", a1) + fmt.Printf("b1: %x\n", b1) + fmt.Printf("a2: %x\n", a2) + fmt.Printf("b2: %x\n", b2) +} diff --git a/crypto/ecc/secp256k1/gensecp256k1.go b/crypto/ecc/secp256k1/gensecp256k1.go new file mode 100644 index 0000000..3038c48 --- /dev/null +++ b/crypto/ecc/secp256k1/gensecp256k1.go @@ -0,0 +1,204 @@ +// Copyright (c) 2014-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// This file is ignored during the regular build due to the following build tag. +// This build tag is set during go generate. +// +build gensecp256k1 + +package secp256k1 + +// References: +// [GECC]: Guide to Elliptic Curve Cryptography (Hankerson, Menezes, Vanstone) + +import ( + "encoding/binary" + "math/big" +) + +// secp256k1BytePoints are dummy points used so the code which generates the +// real values can compile. +var secp256k1BytePoints = "" + +// getDoublingPoints returns all the possible G^(2^i) for i in +// 0..n-1 where n is the curve's bit size (256 in the case of secp256k1) +// the coordinates are recorded as Jacobian coordinates. +func (curve *KoblitzCurve) getDoublingPoints() [][3]fieldVal { + doublingPoints := make([][3]fieldVal, curve.BitSize) + + // initialize px, py, pz to the Jacobian coordinates for the base point + px, py := curve.bigAffineToField(curve.Gx, curve.Gy) + pz := new(fieldVal).SetInt(1) + for i := 0; i < curve.BitSize; i++ { + doublingPoints[i] = [3]fieldVal{*px, *py, *pz} + // P = 2*P + curve.doubleJacobian(px, py, pz, px, py, pz) + } + return doublingPoints +} + +// SerializedBytePoints returns a serialized byte slice which contains all of +// the possible points per 8-bit window. This is used to when generating +// secp256k1.go. +func (curve *KoblitzCurve) SerializedBytePoints() []byte { + doublingPoints := curve.getDoublingPoints() + + // Segregate the bits into byte-sized windows + serialized := make([]byte, curve.byteSize*256*3*10*4) + offset := 0 + for byteNum := 0; byteNum < curve.byteSize; byteNum++ { + // Grab the 8 bits that make up this byte from doublingPoints. + startingBit := 8 * (curve.byteSize - byteNum - 1) + computingPoints := doublingPoints[startingBit : startingBit+8] + + // Compute all points in this window and serialize them. + for i := 0; i < 256; i++ { + px, py, pz := new(fieldVal), new(fieldVal), new(fieldVal) + for j := 0; j < 8; j++ { + if i>>uint(j)&1 == 1 { + curve.addJacobian(px, py, pz, &computingPoints[j][0], + &computingPoints[j][1], &computingPoints[j][2], px, py, pz) + } + } + for i := 0; i < 10; i++ { + binary.LittleEndian.PutUint32(serialized[offset:], px.n[i]) + offset += 4 + } + for i := 0; i < 10; i++ { + binary.LittleEndian.PutUint32(serialized[offset:], py.n[i]) + offset += 4 + } + for i := 0; i < 10; i++ { + binary.LittleEndian.PutUint32(serialized[offset:], pz.n[i]) + offset += 4 + } + } + } + + return serialized +} + +// sqrt returns the square root of the provided big integer using Newton's +// method. It's only compiled and used during generation of pre-computed +// values, so speed is not a huge concern. +func sqrt(n *big.Int) *big.Int { + // Initial guess = 2^(log_2(n)/2) + guess := big.NewInt(2) + guess.Exp(guess, big.NewInt(int64(n.BitLen()/2)), nil) + + // Now refine using Newton's method. + big2 := big.NewInt(2) + prevGuess := big.NewInt(0) + for { + prevGuess.Set(guess) + guess.Add(guess, new(big.Int).Div(n, guess)) + guess.Div(guess, big2) + if guess.Cmp(prevGuess) == 0 { + break + } + } + return guess +} + +// EndomorphismVectors runs the first 3 steps of algorithm 3.74 from [GECC] to +// generate the linearly independent vectors needed to generate a balanced +// length-two representation of a multiplier such that k = k1 + k2λ (mod N) and +// returns them. Since the values will always be the same given the fact that N +// and λ are fixed, the final results can be accelerated by storing the +// precomputed values with the curve. +func (curve *KoblitzCurve) EndomorphismVectors() (a1, b1, a2, b2 *big.Int) { + bigMinus1 := big.NewInt(-1) + + // This section uses an extended Euclidean algorithm to generate a + // sequence of equations: + // s[i] * N + t[i] * λ = r[i] + + nSqrt := sqrt(curve.N) + u, v := new(big.Int).Set(curve.N), new(big.Int).Set(curve.lambda) + x1, y1 := big.NewInt(1), big.NewInt(0) + x2, y2 := big.NewInt(0), big.NewInt(1) + q, r := new(big.Int), new(big.Int) + qu, qx1, qy1 := new(big.Int), new(big.Int), new(big.Int) + s, t := new(big.Int), new(big.Int) + ri, ti := new(big.Int), new(big.Int) + a1, b1, a2, b2 = new(big.Int), new(big.Int), new(big.Int), new(big.Int) + found, oneMore := false, false + for u.Sign() != 0 { + // q = v/u + q.Div(v, u) + + // r = v - q*u + qu.Mul(q, u) + r.Sub(v, qu) + + // s = x2 - q*x1 + qx1.Mul(q, x1) + s.Sub(x2, qx1) + + // t = y2 - q*y1 + qy1.Mul(q, y1) + t.Sub(y2, qy1) + + // v = u, u = r, x2 = x1, x1 = s, y2 = y1, y1 = t + v.Set(u) + u.Set(r) + x2.Set(x1) + x1.Set(s) + y2.Set(y1) + y1.Set(t) + + // As soon as the remainder is less than the sqrt of n, the + // values of a1 and b1 are known. + if !found && r.Cmp(nSqrt) < 0 { + // When this condition executes ri and ti represent the + // r[i] and t[i] values such that i is the greatest + // index for which r >= sqrt(n). Meanwhile, the current + // r and t values are r[i+1] and t[i+1], respectively. + + // a1 = r[i+1], b1 = -t[i+1] + a1.Set(r) + b1.Mul(t, bigMinus1) + found = true + oneMore = true + + // Skip to the next iteration so ri and ti are not + // modified. + continue + + } else if oneMore { + // When this condition executes ri and ti still + // represent the r[i] and t[i] values while the current + // r and t are r[i+2] and t[i+2], respectively. + + // sum1 = r[i]^2 + t[i]^2 + rSquared := new(big.Int).Mul(ri, ri) + tSquared := new(big.Int).Mul(ti, ti) + sum1 := new(big.Int).Add(rSquared, tSquared) + + // sum2 = r[i+2]^2 + t[i+2]^2 + r2Squared := new(big.Int).Mul(r, r) + t2Squared := new(big.Int).Mul(t, t) + sum2 := new(big.Int).Add(r2Squared, t2Squared) + + // if (r[i]^2 + t[i]^2) <= (r[i+2]^2 + t[i+2]^2) + if sum1.Cmp(sum2) <= 0 { + // a2 = r[i], b2 = -t[i] + a2.Set(ri) + b2.Mul(ti, bigMinus1) + } else { + // a2 = r[i+2], b2 = -t[i+2] + a2.Set(r) + b2.Mul(t, bigMinus1) + } + + // All done. + break + } + + ri.Set(r) + ti.Set(t) + } + + return a1, b1, a2, b2 +} diff --git a/crypto/ecc/secp256k1/precompute.go b/crypto/ecc/secp256k1/precompute.go new file mode 100644 index 0000000..b9cca3e --- /dev/null +++ b/crypto/ecc/secp256k1/precompute.go @@ -0,0 +1,68 @@ +// Copyright 2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "compress/zlib" + "encoding/base64" + "encoding/binary" + "io/ioutil" + "strings" +) + +//go:generate go run -tags gensecp256k1 genprecomps.go + +// loadS256BytePoints decompresses and deserializes the pre-computed byte points +// used to accelerate scalar base multiplication for the secp256k1 curve. This +// approach is used since it allows the compile to use significantly less ram +// and be performed much faster than it is with hard-coding the final in-memory +// data structure. At the same time, it is quite fast to generate the in-memory +// data structure at init time with this approach versus computing the table. +func loadS256BytePoints() error { + // There will be no byte points to load when generating them. + bp := secp256k1BytePoints + if len(bp) == 0 { + return nil + } + + // Decompress the pre-computed table used to accelerate scalar base + // multiplication. + decoder := base64.NewDecoder(base64.StdEncoding, strings.NewReader(bp)) + r, err := zlib.NewReader(decoder) + if err != nil { + return err + } + serialized, err := ioutil.ReadAll(r) + if err != nil { + return err + } + + // Deserialize the precomputed byte points and set the curve to them. + offset := 0 + var bytePoints [32][256][3]fieldVal + for byteNum := 0; byteNum < 32; byteNum++ { + // All points in this window. + for i := 0; i < 256; i++ { + px := &bytePoints[byteNum][i][0] + py := &bytePoints[byteNum][i][1] + pz := &bytePoints[byteNum][i][2] + for i := 0; i < 10; i++ { + px.n[i] = binary.LittleEndian.Uint32(serialized[offset:]) + offset += 4 + } + for i := 0; i < 10; i++ { + py.n[i] = binary.LittleEndian.Uint32(serialized[offset:]) + offset += 4 + } + for i := 0; i < 10; i++ { + pz.n[i] = binary.LittleEndian.Uint32(serialized[offset:]) + offset += 4 + } + } + } + secp256k1.bytePoints = &bytePoints + return nil +} diff --git a/crypto/ecc/secp256k1/privkey.go b/crypto/ecc/secp256k1/privkey.go new file mode 100644 index 0000000..69fc99b --- /dev/null +++ b/crypto/ecc/secp256k1/privkey.go @@ -0,0 +1,125 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "crypto/ecdsa" + "crypto/rand" + "io" + "math/big" +) + +// PrivateKey wraps an ecdsa.PrivateKey as a convenience mainly for signing +// things with the the private key without having to directly import the ecdsa +// package. +type PrivateKey ecdsa.PrivateKey + +// NewPrivateKey instantiates a new private key from a scalar encoded as a +// big integer. +func NewPrivateKey(d *big.Int) *PrivateKey { + b := make([]byte, 0, PrivKeyBytesLen) + dB := paddedAppend(PrivKeyBytesLen, b, d.Bytes()) + priv, _ := PrivKeyFromBytes(dB) + return priv +} + +// PrivKeyFromBytes returns a private and public key for `curve' based on the +// private key passed as an argument as a byte slice. +func PrivKeyFromBytes(pk []byte) (*PrivateKey, + *PublicKey) { + curve := S256() + x, y := curve.ScalarBaseMult(pk) + + priv := &ecdsa.PrivateKey{ + PublicKey: ecdsa.PublicKey{ + Curve: S256(), + X: x, + Y: y, + }, + D: new(big.Int).SetBytes(pk), + } + + return (*PrivateKey)(priv), (*PublicKey)(&priv.PublicKey) +} + +// PrivKeyFromScalar is the same as PrivKeyFromBytes in secp256k1. +func PrivKeyFromScalar(s []byte) (*PrivateKey, + *PublicKey) { + return PrivKeyFromBytes(s) +} + +// GeneratePrivateKey is a wrapper for ecdsa.GenerateKey that returns a PrivateKey +// instead of the normal ecdsa.PrivateKey. +func GeneratePrivateKey() (*PrivateKey, error) { + key, err := ecdsa.GenerateKey(S256(), rand.Reader) + if err != nil { + return nil, err + } + return (*PrivateKey)(key), nil +} + +// GenerateKey generates a key using a random number generator, returning +// the private scalar and the corresponding public key points. +func GenerateKey(rand io.Reader) (priv []byte, x, + y *big.Int, err error) { + key, err := ecdsa.GenerateKey(S256(), rand) + if err != nil { + return + } + priv = key.D.Bytes() + x = key.PublicKey.X + y = key.PublicKey.Y + + return +} + +// Public returns the PublicKey corresponding to this private key. +func (p PrivateKey) Public() (*big.Int, *big.Int) { + return p.PublicKey.X, p.PublicKey.Y +} + +// PubKey returns the PublicKey corresponding to this private key. +func (p *PrivateKey) PubKey() *PublicKey { + return (*PublicKey)(&p.PublicKey) +} + +// ToECDSA returns the private key as a *ecdsa.PrivateKey. +func (p *PrivateKey) ToECDSA() *ecdsa.PrivateKey { + return (*ecdsa.PrivateKey)(p) +} + +// Sign generates an ECDSA signature for the provided hash (which should be the +// result of hashing a larger message) using the private key. Produced signature +// is deterministic (same message and same key yield the same signature) and +// canonical in accordance with RFC6979 and BIP0062. +func (p *PrivateKey) Sign(hash []byte) (*Signature, error) { + return signRFC6979(p, hash) +} + +// PrivKeyBytesLen defines the length in bytes of a serialized private key. +const PrivKeyBytesLen = 32 + +// Serialize returns the private key number d as a big-endian binary-encoded +// number, padded to a length of 32 bytes. +func (p PrivateKey) Serialize() []byte { + b := make([]byte, 0, PrivKeyBytesLen) + return paddedAppend(PrivKeyBytesLen, b, p.ToECDSA().D.Bytes()) +} + +// SerializeSecret satisfies the chainec PrivateKey interface. +func (p PrivateKey) SerializeSecret() []byte { + return p.Serialize() +} + +// GetD satisfies the chainec PrivateKey interface. +func (p PrivateKey) GetD() *big.Int { + return p.D +} + +// GetType satisfies the chainec PrivateKey interface. +func (p PrivateKey) GetType() int { + return ecTypeSecp256k1 +} diff --git a/crypto/ecc/secp256k1/privkey_test.go b/crypto/ecc/secp256k1/privkey_test.go new file mode 100644 index 0000000..22b8c39 --- /dev/null +++ b/crypto/ecc/secp256k1/privkey_test.go @@ -0,0 +1,56 @@ +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "bytes" + "testing" +) + +func TestPrivKeys(t *testing.T) { + tests := []struct { + name string + key []byte + }{ + { + name: "check curve", + key: []byte{ + 0xea, 0xf0, 0x2c, 0xa3, 0x48, 0xc5, 0x24, 0xe6, + 0x39, 0x26, 0x55, 0xba, 0x4d, 0x29, 0x60, 0x3c, + 0xd1, 0xa7, 0x34, 0x7d, 0x9d, 0x65, 0xcf, 0xe9, + 0x3c, 0xe1, 0xeb, 0xff, 0xdc, 0xa2, 0x26, 0x94, + }, + }, + } + + for _, test := range tests { + priv, pub := PrivKeyFromBytes(test.key) + + _, err := ParsePubKey(pub.SerializeUncompressed()) + if err != nil { + t.Errorf("%s privkey: %v", test.name, err) + continue + } + + hash := []byte{0x0, 0x1, 0x2, 0x3, 0x4, 0x5, 0x6, 0x7, 0x8, 0x9} + sig, err := priv.Sign(hash) + if err != nil { + t.Errorf("%s could not sign: %v", test.name, err) + continue + } + + if !sig.Verify(hash, pub) { + t.Errorf("%s could not verify: %v", test.name, err) + continue + } + + serializedKey := priv.Serialize() + if !bytes.Equal(serializedKey, test.key) { + t.Errorf("%s unexpected serialized bytes - got: %x, "+ + "want: %x", test.name, serializedKey, test.key) + } + } +} diff --git a/crypto/ecc/secp256k1/pubkey.go b/crypto/ecc/secp256k1/pubkey.go new file mode 100644 index 0000000..c55bec3 --- /dev/null +++ b/crypto/ecc/secp256k1/pubkey.go @@ -0,0 +1,190 @@ +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "crypto/ecdsa" + "errors" + "fmt" + "math/big" +) + +// These constants define the lengths of serialized public keys. +const ( + PubKeyBytesLenCompressed = 33 + PubKeyBytesLenUncompressed = 65 +) + +func isOdd(a *big.Int) bool { + return a.Bit(0) == 1 +} + +// decompressPoint decompresses a point on the given curve given the X point and +// the solution to use. +func decompressPoint(x *big.Int, ybit bool) (*big.Int, error) { + // TODO(oga) This will probably only work for secp256k1 due to + // optimizations. + + curve := S256() + // Y = +-sqrt(x^3 + B) + x3 := new(big.Int).Mul(x, x) + x3.Mul(x3, x) + x3.Add(x3, curve.Params().B) + + // now calculate sqrt mod p of x2 + B + // This code used to do a full sqrt based on tonelli/shanks, + // but this was replaced by the algorithms referenced in + // https://bitcointalk.org/index.php?topic=162805.msg1712294#msg1712294 + y := new(big.Int).Exp(x3, curve.QPlus1Div4(), curve.Params().P) + + if ybit != isOdd(y) { + y.Sub(curve.Params().P, y) + } + if ybit != isOdd(y) { + return nil, fmt.Errorf("ybit doesn't match oddness") + } + return y, nil +} + +const ( + pubkeyCompressed byte = 0x2 // y_bit + x coord + pubkeyUncompressed byte = 0x4 // x coord + y coord +) + +// NewPublicKey instantiates a new public key with the given X,Y coordinates. +func NewPublicKey(x *big.Int, y *big.Int) *PublicKey { + return &PublicKey{S256(), x, y} +} + +// ParsePubKey parses a public key for a koblitz curve from a bytestring into a +// ecdsa.Publickey, verifying that it is valid. It supports compressed and +// uncompressed signature formats, but not the hybrid format. +func ParsePubKey(pubKeyStr []byte) (key *PublicKey, + err error) { + pubkey := PublicKey{} + pubkey.Curve = S256() + + if len(pubKeyStr) == 0 { + return nil, errors.New("pubkey string is empty") + } + + format := pubKeyStr[0] + ybit := (format & 0x1) == 0x1 + format &= ^byte(0x1) + + switch len(pubKeyStr) { + case PubKeyBytesLenUncompressed: + if format != pubkeyUncompressed { + return nil, fmt.Errorf("invalid magic in pubkey str: "+ + "%d", pubKeyStr[0]) + } + + pubkey.X = new(big.Int).SetBytes(pubKeyStr[1:33]) + pubkey.Y = new(big.Int).SetBytes(pubKeyStr[33:]) + case PubKeyBytesLenCompressed: + // format is 0x2 | solution, + // solution determines which solution of the curve we use. + /// y^2 = x^3 + Curve.B + if format != pubkeyCompressed { + return nil, fmt.Errorf("invalid magic in compressed "+ + "pubkey string: %d", pubKeyStr[0]) + } + pubkey.X = new(big.Int).SetBytes(pubKeyStr[1:33]) + pubkey.Y, err = decompressPoint(pubkey.X, ybit) + if err != nil { + return nil, err + } + default: // wrong! + return nil, fmt.Errorf("invalid pub key length %d", + len(pubKeyStr)) + } + + if pubkey.X.Cmp(pubkey.Curve.Params().P) >= 0 { + return nil, fmt.Errorf("pubkey X parameter is >= to P") + } + if pubkey.Y.Cmp(pubkey.Curve.Params().P) >= 0 { + return nil, fmt.Errorf("pubkey Y parameter is >= to P") + } + if !pubkey.Curve.IsOnCurve(pubkey.X, pubkey.Y) { + return nil, fmt.Errorf("pubkey [%v,%v] isn't on secp256k1 curve", + pubkey.X, pubkey.Y) + } + return &pubkey, nil +} + +// PublicKey is an ecdsa.PublicKey with additional functions to +// serialize in uncompressed and compressed formats. +type PublicKey ecdsa.PublicKey + +// ToECDSA returns the public key as a *ecdsa.PublicKey. +func (p PublicKey) ToECDSA() *ecdsa.PublicKey { + ecpk := ecdsa.PublicKey(p) + return &ecpk +} + +// Serialize serializes a public key in a 33-byte compressed format. +// It is the default serialization method. +func (p PublicKey) Serialize() []byte { + return p.SerializeCompressed() +} + +// SerializeUncompressed serializes a public key in a 65-byte uncompressed +// format. +func (p PublicKey) SerializeUncompressed() []byte { + b := make([]byte, 0, PubKeyBytesLenUncompressed) + b = append(b, pubkeyUncompressed) + b = paddedAppend(32, b, p.X.Bytes()) + return paddedAppend(32, b, p.Y.Bytes()) +} + +// SerializeCompressed serializes a public key in a 33-byte compressed format. +func (p PublicKey) SerializeCompressed() []byte { + b := make([]byte, 0, PubKeyBytesLenCompressed) + format := pubkeyCompressed + if isOdd(p.Y) { + format |= 0x1 + } + b = append(b, format) + return paddedAppend(32, b, p.X.Bytes()) +} + +// IsEqual compares this PublicKey instance to the one passed, returning true if +// both PublicKeys are equivalent. A PublicKey is equivalent to another, if they +// both have the same X and Y coordinate. +func (p *PublicKey) IsEqual(otherPubKey *PublicKey) bool { + return p.X.Cmp(otherPubKey.X) == 0 && + p.Y.Cmp(otherPubKey.Y) == 0 +} + +// paddedAppend appends the src byte slice to dst, returning the new slice. +// If the length of the source is smaller than the passed size, leading zero +// bytes are appended to the dst slice before appending src. +func paddedAppend(size uint, dst, src []byte) []byte { + for i := 0; i < int(size)-len(src); i++ { + dst = append(dst, 0) + } + return append(dst, src...) +} + +// GetCurve satisfies the chainec PublicKey interface. +func (p PublicKey) GetCurve() interface{} { + return p.Curve +} + +// GetX satisfies the chainec PublicKey interface. +func (p PublicKey) GetX() *big.Int { + return p.X +} + +// GetY satisfies the chainec PublicKey interface. +func (p PublicKey) GetY() *big.Int { + return p.Y +} + +// GetType satisfies the chainec PublicKey interface. +func (p PublicKey) GetType() int { + return ecTypeSecp256k1 +} diff --git a/crypto/ecc/secp256k1/pubkey_test.go b/crypto/ecc/secp256k1/pubkey_test.go new file mode 100644 index 0000000..c662271 --- /dev/null +++ b/crypto/ecc/secp256k1/pubkey_test.go @@ -0,0 +1,279 @@ +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "bytes" + "testing" + + "github.com/davecgh/go-spew/spew" +) + +type pubKeyTest struct { + name string + key []byte + format byte + isValid bool +} + +var pubKeyTests = []pubKeyTest{ + // pubkey from bitcoin blockchain tx + // 0437cd7f8525ceed2324359c2d0ba26006d92d85 + { + name: "uncompressed ok", + key: []byte{0x04, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: true, + format: pubkeyUncompressed, + }, + { + name: "uncompressed x changed", + key: []byte{0x04, 0x15, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: false, + }, + { + name: "uncompressed y changed", + key: []byte{0x04, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa4, + }, + isValid: false, + }, + { + name: "uncompressed claims compressed", + key: []byte{0x03, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: false, + }, + { + name: "uncompressed as hybrid ok", + key: []byte{0x07, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: false, + }, + { + name: "uncompressed as hybrid wrong", + key: []byte{0x06, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: false, + }, + // from tx 0b09c51c51ff762f00fb26217269d2a18e77a4fa87d69b3c363ab4df16543f20 + { + name: "compressed ok (ybit = 0)", + key: []byte{0x02, 0xce, 0x0b, 0x14, 0xfb, 0x84, 0x2b, 0x1b, + 0xa5, 0x49, 0xfd, 0xd6, 0x75, 0xc9, 0x80, 0x75, 0xf1, + 0x2e, 0x9c, 0x51, 0x0f, 0x8e, 0xf5, 0x2b, 0xd0, 0x21, + 0xa9, 0xa1, 0xf4, 0x80, 0x9d, 0x3b, 0x4d, + }, + isValid: true, + format: pubkeyCompressed, + }, + // from tx fdeb8e72524e8dab0da507ddbaf5f88fe4a933eb10a66bc4745bb0aa11ea393c + { + name: "compressed ok (ybit = 1)", + key: []byte{0x03, 0x26, 0x89, 0xc7, 0xc2, 0xda, 0xb1, 0x33, + 0x09, 0xfb, 0x14, 0x3e, 0x0e, 0x8f, 0xe3, 0x96, 0x34, + 0x25, 0x21, 0x88, 0x7e, 0x97, 0x66, 0x90, 0xb6, 0xb4, + 0x7f, 0x5b, 0x2a, 0x4b, 0x7d, 0x44, 0x8e, + }, + isValid: true, + format: pubkeyCompressed, + }, + { + name: "compressed claims uncompressed (ybit = 0)", + key: []byte{0x04, 0xce, 0x0b, 0x14, 0xfb, 0x84, 0x2b, 0x1b, + 0xa5, 0x49, 0xfd, 0xd6, 0x75, 0xc9, 0x80, 0x75, 0xf1, + 0x2e, 0x9c, 0x51, 0x0f, 0x8e, 0xf5, 0x2b, 0xd0, 0x21, + 0xa9, 0xa1, 0xf4, 0x80, 0x9d, 0x3b, 0x4d, + }, + isValid: false, + }, + { + name: "compressed claims uncompressed (ybit = 1)", + key: []byte{0x05, 0x26, 0x89, 0xc7, 0xc2, 0xda, 0xb1, 0x33, + 0x09, 0xfb, 0x14, 0x3e, 0x0e, 0x8f, 0xe3, 0x96, 0x34, + 0x25, 0x21, 0x88, 0x7e, 0x97, 0x66, 0x90, 0xb6, 0xb4, + 0x7f, 0x5b, 0x2a, 0x4b, 0x7d, 0x44, 0x8e, + }, + isValid: false, + }, + { + name: "wrong length)", + key: []byte{0x05}, + isValid: false, + }, + { + name: "X == P", + key: []byte{0x04, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFC, 0x2F, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: false, + }, + { + name: "X > P", + key: []byte{0x04, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFD, 0x2F, 0xb2, 0xe0, + 0xea, 0xdd, 0xfb, 0x84, 0xcc, 0xf9, 0x74, 0x44, 0x64, + 0xf8, 0x2e, 0x16, 0x0b, 0xfa, 0x9b, 0x8b, 0x64, 0xf9, + 0xd4, 0xc0, 0x3f, 0x99, 0x9b, 0x86, 0x43, 0xf6, 0x56, + 0xb4, 0x12, 0xa3, + }, + isValid: false, + }, + { + name: "Y == P", + key: []byte{0x04, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, + 0xFF, 0xFC, 0x2F, + }, + isValid: false, + }, + { + name: "Y > P", + key: []byte{0x04, 0x11, 0xdb, 0x93, 0xe1, 0xdc, 0xdb, 0x8a, + 0x01, 0x6b, 0x49, 0x84, 0x0f, 0x8c, 0x53, 0xbc, 0x1e, + 0xb6, 0x8a, 0x38, 0x2e, 0x97, 0xb1, 0x48, 0x2e, 0xca, + 0xd7, 0xb1, 0x48, 0xa6, 0x90, 0x9a, 0x5c, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFE, 0xFF, + 0xFF, 0xFD, 0x2F, + }, + isValid: false, + }, + { + name: "hybrid", + key: []byte{0x06, 0x79, 0xbe, 0x66, 0x7e, 0xf9, 0xdc, 0xbb, + 0xac, 0x55, 0xa0, 0x62, 0x95, 0xce, 0x87, 0x0b, 0x07, + 0x02, 0x9b, 0xfc, 0xdb, 0x2d, 0xce, 0x28, 0xd9, 0x59, + 0xf2, 0x81, 0x5b, 0x16, 0xf8, 0x17, 0x98, 0x48, 0x3a, + 0xda, 0x77, 0x26, 0xa3, 0xc4, 0x65, 0x5d, 0xa4, 0xfb, + 0xfc, 0x0e, 0x11, 0x08, 0xa8, 0xfd, 0x17, 0xb4, 0x48, + 0xa6, 0x85, 0x54, 0x19, 0x9c, 0x47, 0xd0, 0x8f, 0xfb, + 0x10, 0xd4, 0xb8, + }, + isValid: false, + }, +} + +func TestPubKeys(t *testing.T) { + for _, test := range pubKeyTests { + pk, err := ParsePubKey(test.key) + if err != nil { + if test.isValid { + t.Errorf("%s pubkey failed when shouldn't %v", + test.name, err) + } + continue + } + if !test.isValid { + t.Errorf("%s counted as valid when it should fail", + test.name) + continue + } + var pkStr []byte + switch test.format { + case pubkeyUncompressed: + pkStr = (*PublicKey)(pk).SerializeUncompressed() + case pubkeyCompressed: + pkStr = (*PublicKey)(pk).SerializeCompressed() + } + if !bytes.Equal(test.key, pkStr) { + t.Errorf("%s pubkey: serialized keys do not match.", + test.name) + spew.Dump(test.key) + spew.Dump(pkStr) + } + } +} + +func TestPublicKeyIsEqual(t *testing.T) { + pubKey1, err := ParsePubKey( + []byte{0x03, 0x26, 0x89, 0xc7, 0xc2, 0xda, 0xb1, 0x33, + 0x09, 0xfb, 0x14, 0x3e, 0x0e, 0x8f, 0xe3, 0x96, 0x34, + 0x25, 0x21, 0x88, 0x7e, 0x97, 0x66, 0x90, 0xb6, 0xb4, + 0x7f, 0x5b, 0x2a, 0x4b, 0x7d, 0x44, 0x8e, + }, + ) + if err != nil { + t.Fatalf("failed to parse raw bytes for pubKey1: %v", err) + } + + pubKey2, err := ParsePubKey( + []byte{0x02, 0xce, 0x0b, 0x14, 0xfb, 0x84, 0x2b, 0x1b, + 0xa5, 0x49, 0xfd, 0xd6, 0x75, 0xc9, 0x80, 0x75, 0xf1, + 0x2e, 0x9c, 0x51, 0x0f, 0x8e, 0xf5, 0x2b, 0xd0, 0x21, + 0xa9, 0xa1, 0xf4, 0x80, 0x9d, 0x3b, 0x4d, + }, + ) + if err != nil { + t.Fatalf("failed to parse raw bytes for pubKey2: %v", err) + } + + if !pubKey1.IsEqual(pubKey1) { + t.Fatalf("value of IsEqual is incorrect, %v is "+ + "equal to %v", pubKey1, pubKey1) + } + + if pubKey1.IsEqual(pubKey2) { + t.Fatalf("value of IsEqual is incorrect, %v is not "+ + "equal to %v", pubKey1, pubKey2) + } +} diff --git a/crypto/ecc/secp256k1/secp256k1.go b/crypto/ecc/secp256k1/secp256k1.go new file mode 100644 index 0000000..cb12e70 --- /dev/null +++ b/crypto/ecc/secp256k1/secp256k1.go @@ -0,0 +1,10 @@ +// Copyright (c) 2015 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +// Auto-generated file (see genprecomps.go) +// DO NOT EDIT + +var secp256k1BytePoints = "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" diff --git a/crypto/ecc/secp256k1/signature.go b/crypto/ecc/secp256k1/signature.go new file mode 100644 index 0000000..2b00d2d --- /dev/null +++ b/crypto/ecc/secp256k1/signature.go @@ -0,0 +1,576 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2014 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "bytes" + "crypto/ecdsa" + "crypto/elliptic" + "crypto/hmac" + "crypto/sha256" + "errors" + "fmt" + "hash" + "math/big" +) + +// Errors returned by canonicalPadding. +var ( + errNegativeValue = errors.New("value may be interpreted as negative") + errExcessivelyPaddedValue = errors.New("value is excessively padded") +) + +// Signature is a type representing an ecdsa signature. +type Signature struct { + R *big.Int + S *big.Int +} + +var ( + // Curve order and halforder, used to tame ECDSA malleability (see BIP-0062) + order = new(big.Int).Set(S256().N) + halforder = new(big.Int).Rsh(order, 1) + + // Used in RFC6979 implementation when testing the nonce for correctness + one = big.NewInt(1) + + // oneInitializer is used to fill a byte slice with byte 0x01. It is provided + // here to avoid the need to create it multiple times. + oneInitializer = []byte{0x01} +) + +// NewSignature instantiates a new signature given some R,S values. +func NewSignature(r, s *big.Int) *Signature { + return &Signature{r, s} +} + +// Serialize returns the ECDSA signature in the more strict DER format. +// Note: the serialized bytes returned do not include the appended hash +// type used in the signature scripts. +// +// encoding/asn1 is broken so we hand roll this output: +// +// 0x30 0x02 r 0x02 s +func (sig *Signature) Serialize() []byte { + // low 'S' malleability breaker + sigS := sig.S + if sigS.Cmp(halforder) == 1 { + sigS = new(big.Int).Sub(order, sigS) + } + // Ensure the encoded bytes for the r and s values are canonical and + // thus suitable for DER encoding. + rb := canonicalizeInt(sig.R) + sb := canonicalizeInt(sigS) + + // total length of returned signature is 1 byte for each magic and + // length (6 total), plus lengths of r and s + length := 6 + len(rb) + len(sb) + b := make([]byte, length) + + b[0] = 0x30 + b[1] = byte(length - 2) + b[2] = 0x02 + b[3] = byte(len(rb)) + offset := copy(b[4:], rb) + 4 + b[offset] = 0x02 + b[offset+1] = byte(len(sb)) + copy(b[offset+2:], sb) + return b +} + +// Verify calls ecdsa.Verify to verify the signature of hash using the public +// key. It returns true if the signature is valid, false otherwise. +func (sig *Signature) Verify(hash []byte, pubKey *PublicKey) bool { + return ecdsa.Verify(pubKey.ToECDSA(), hash, sig.GetR(), sig.GetS()) +} + +// IsEqual compares this Signature instance to the one passed, returning true +// if both Signatures are equivalent. A signature is equivalent to another, if +// they both have the same scalar value for R and S. +func (sig *Signature) IsEqual(otherSig *Signature) bool { + return sig.R.Cmp(otherSig.R) == 0 && + sig.S.Cmp(otherSig.S) == 0 +} + +func parseSig(sigStr []byte, der bool) (*Signature, error) { + // Originally this code used encoding/asn1 in order to parse the + // signature, but a number of problems were found with this approach. + // Despite the fact that signatures are stored as DER, the difference + // between go's idea of a bignum (and that they have sign) doesn't agree + // with the openssl one (where they do not). The above is true as of + // Go 1.1. In the end it was simpler to rewrite the code to explicitly + // understand the format which is this: + // 0x30 <0x02> 0x2 + // . + + signature := &Signature{} + curve := S256() + + // minimal message is when both numbers are 1 bytes. adding up to: + // 0x30 + len + 0x02 + 0x01 + + 0x2 + 0x01 + + if len(sigStr) < 8 { + return nil, errors.New("malformed signature: too short") + } + // 0x30 + index := 0 + if sigStr[index] != 0x30 { + return nil, errors.New("malformed signature: no header magic") + } + index++ + // length of remaining message + siglen := sigStr[index] + index++ + if int(siglen+2) > len(sigStr) { + return nil, errors.New("malformed signature: bad length") + } + // trim the slice we're working on so we only look at what matters. + sigStr = sigStr[:siglen+2] + + // 0x02 + if sigStr[index] != 0x02 { + return nil, + errors.New("malformed signature: no 1st int marker") + } + index++ + + // Length of signature R. + rLen := int(sigStr[index]) + // must be positive, must be able to fit in another 0x2, + // hence the -3. We assume that the length must be at least one byte. + index++ + if rLen <= 0 || rLen > len(sigStr)-index-3 { + return nil, errors.New("malformed signature: bogus R length") + } + + // Then R itself. + rBytes := sigStr[index : index+rLen] + if der { + switch err := canonicalPadding(rBytes); err { + case errNegativeValue: + return nil, errors.New("signature R is negative") + case errExcessivelyPaddedValue: + return nil, errors.New("signature R is excessively padded") + } + } + signature.R = new(big.Int).SetBytes(rBytes) + index += rLen + // 0x02. length already checked in previous if. + if sigStr[index] != 0x02 { + return nil, errors.New("malformed signature: no 2nd int marker") + } + index++ + + // Length of signature S. + sLen := int(sigStr[index]) + index++ + // S should be the rest of the string. + if sLen <= 0 || sLen > len(sigStr)-index { + return nil, errors.New("malformed signature: bogus S length") + } + + // Then S itself. + sBytes := sigStr[index : index+sLen] + if der { + switch err := canonicalPadding(sBytes); err { + case errNegativeValue: + return nil, errors.New("signature S is negative") + case errExcessivelyPaddedValue: + return nil, errors.New("signature S is excessively padded") + } + } + signature.S = new(big.Int).SetBytes(sBytes) + index += sLen + + // sanity check length parsing + if index != len(sigStr) { + return nil, fmt.Errorf("malformed signature: bad final length %v != %v", + index, len(sigStr)) + } + + // Verify also checks this, but we can be more sure that we parsed + // correctly if we verify here too. + // FWIW the ecdsa spec states that R and S must be | 1, N - 1 | + // but crypto/ecdsa only checks for Sign != 0. Mirror that. + if signature.R.Sign() != 1 { + return nil, errors.New("signature R isn't 1 or more") + } + if signature.S.Sign() != 1 { + return nil, errors.New("signature S isn't 1 or more") + } + if signature.R.Cmp(curve.Params().N) >= 0 { + return nil, errors.New("signature R is >= curve.N") + } + if signature.S.Cmp(curve.Params().N) >= 0 { + return nil, errors.New("signature S is >= curve.N") + } + + return signature, nil +} + +// ParseSignature parses a signature in BER format for the curve type `curve' +// into a Signature type, perfoming some basic sanity checks. If parsing +// according to the more strict DER format is needed, use ParseDERSignature. +func ParseSignature(sigStr []byte, curve elliptic.Curve) (*Signature, error) { + return parseSig(sigStr, false) +} + +// ParseDERSignature parses a signature in DER format for the curve type +// `curve` into a Signature type. If parsing according to the less strict +// BER format is needed, use ParseSignature. +func ParseDERSignature(sigStr []byte, curve elliptic.Curve) (*Signature, error) { + return parseSig(sigStr, true) +} + +// canonicalizeInt returns the bytes for the passed big integer adjusted as +// necessary to ensure that a big-endian encoded integer can't possibly be +// misinterpreted as a negative number. This can happen when the most +// significant bit is set, so it is padded by a leading zero byte in this case. +// Also, the returned bytes will have at least a single byte when the passed +// value is 0. This is required for DER encoding. +func canonicalizeInt(val *big.Int) []byte { + b := val.Bytes() + if len(b) == 0 { + b = []byte{0x00} + } + if b[0]&0x80 != 0 { + paddedBytes := make([]byte, len(b)+1) + copy(paddedBytes[1:], b) + b = paddedBytes + } + return b +} + +// canonicalPadding checks whether a big-endian encoded integer could +// possibly be misinterpreted as a negative number (even though OpenSSL +// treats all numbers as unsigned), or if there is any unnecessary +// leading zero padding. +func canonicalPadding(b []byte) error { + switch { + case b[0]&0x80 == 0x80: + return errNegativeValue + case len(b) > 1 && b[0] == 0x00 && b[1]&0x80 != 0x80: + return errExcessivelyPaddedValue + default: + return nil + } +} + +// hashToInt converts a hash value to an integer. There is some disagreement +// about how this is done. [NSA] suggests that this is done in the obvious +// manner, but [SECG] truncates the hash to the bit-length of the curve order +// first. We follow [SECG] because that's what OpenSSL does. Additionally, +// OpenSSL right shifts excess bits from the number if the hash is too large +// and we mirror that too. +// This is borrowed from crypto/ecdsa. +func hashToInt(hash []byte) *big.Int { + orderBits := S256().Params().N.BitLen() + orderBytes := (orderBits + 7) / 8 + if len(hash) > orderBytes { + hash = hash[:orderBytes] + } + + ret := new(big.Int).SetBytes(hash) + excess := len(hash)*8 - orderBits + if excess > 0 { + ret.Rsh(ret, uint(excess)) + } + return ret +} + +// recoverKeyFromSignature recovers a public key from the signature "sig" on the +// given message hash "msg". Based on the algorithm found in section 5.1.5 of +// SEC 1 Ver 2.0, page 47-48 (53 and 54 in the pdf). This performs the details +// in the inner loop in Step 1. The counter provided is actually the j parameter +// of the loop * 2 - on the first iteration of j we do the R case, else the -R +// case in step 1.6. This counter is used in the compressed signature format and +// match bitcoin core's behaviour here. +func recoverKeyFromSignature(sig *Signature, msg []byte, + iter int, doChecks bool) (*PublicKey, error) { + // 1.1 x = (n * i) + r + curve := S256() + Rx := new(big.Int).Mul(curve.Params().N, + new(big.Int).SetInt64(int64(iter/2))) + Rx.Add(Rx, sig.R) + if Rx.Cmp(curve.Params().P) != -1 { + return nil, errors.New("calculated Rx is larger than curve P") + } + + // convert 02 to point R. (step 1.2 and 1.3). If we are on an odd + // iteration then 1.6 will be done with -R, so we calculate the other + // term when uncompressing the point. + Ry, err := decompressPoint(Rx, iter%2 == 1) + if err != nil { + return nil, err + } + + // 1.4 Check n*R is point at infinity + if doChecks { + nRx, nRy := curve.ScalarMult(Rx, Ry, curve.Params().N.Bytes()) + if nRx.Sign() != 0 || nRy.Sign() != 0 { + return nil, errors.New("n*R does not equal the point at infinity") + } + } + + // 1.5 calculate e from message using the same algorithm as ecdsa + // signature calculation. + e := hashToInt(msg) + + // Step 1.6.1: + // We calculate the two terms sR and eG separately multiplied by the + // inverse of r (from the signature). We then add them to calculate + // Q = r^-1(sR-eG) + invr := new(big.Int).ModInverse(sig.R, curve.Params().N) + + // first term. + invrS := new(big.Int).Mul(invr, sig.S) + invrS.Mod(invrS, curve.Params().N) + sRx, sRy := curve.ScalarMult(Rx, Ry, invrS.Bytes()) + + // second term. + e.Neg(e) + e.Mod(e, curve.Params().N) + e.Mul(e, invr) + e.Mod(e, curve.Params().N) + minuseGx, minuseGy := curve.ScalarBaseMult(e.Bytes()) + + // TODO(oga) this would be faster if we did a mult and add in one + // step to prevent the jacobian conversion back and forth. + Qx, Qy := curve.Add(sRx, sRy, minuseGx, minuseGy) + + return &PublicKey{ + Curve: curve, + X: Qx, + Y: Qy, + }, nil +} + +// SignCompact produces a compact signature of the data in hash with the given +// private key on the given koblitz curve. The isCompressed parameter should +// be used to detail if the given signature should reference a compressed +// public key or not. If successful the bytes of the compact signature will be +// returned in the format: +// <(byte of 27+public key solution)+4 if compressed >< padded bytes for signature R> +// where the R and S parameters are padde up to the bitlengh of the curve. +func SignCompact(key *PrivateKey, + hash []byte, isCompressedKey bool) ([]byte, error) { + sig, err := key.Sign(hash) + if err != nil { + return nil, err + } + + curve := S256() + // bitcoind checks the bit length of R and S here. The ecdsa signature + // algorithm returns R and S mod N therefore they will be the bitsize of + // the curve, and thus correctly sized. + for i := 0; i < (curve.H+1)*2; i++ { + pk, err := recoverKeyFromSignature(sig, hash, i, true) + if err == nil && pk.X.Cmp(key.X) == 0 && pk.Y.Cmp(key.Y) == 0 { + result := make([]byte, 1, 2*curve.byteSize+1) + result[0] = 27 + byte(i) + if isCompressedKey { + result[0] += 4 + } + // Not sure this needs rounding but safer to do so. + curvelen := (curve.BitSize + 7) / 8 + + // Pad R and S to curvelen if needed. + bytelen := (sig.R.BitLen() + 7) / 8 + if bytelen < curvelen { + result = append(result, + make([]byte, curvelen-bytelen)...) + } + result = append(result, sig.R.Bytes()...) + + bytelen = (sig.S.BitLen() + 7) / 8 + if bytelen < curvelen { + result = append(result, + make([]byte, curvelen-bytelen)...) + } + result = append(result, sig.S.Bytes()...) + + return result, nil + } + } + + return nil, errors.New("no valid solution for pubkey found") +} + +// RecoverCompact verifies the compact signature "signature" of "hash" for the +// Koblitz curve in "curve". If the signature matches then the recovered public +// key will be returned as well as a boolen if the original key was compressed +// or not, else an error will be returned. +func RecoverCompact(signature, + hash []byte) (*PublicKey, bool, error) { + bitlen := (S256().BitSize + 7) / 8 + if len(signature) != 1+bitlen*2 { + return nil, false, errors.New("invalid compact signature size") + } + + iteration := int((signature[0] - 27) & ^byte(4)) + + // format is

+ sig := &Signature{ + R: new(big.Int).SetBytes(signature[1 : bitlen+1]), + S: new(big.Int).SetBytes(signature[bitlen+1:]), + } + // The iteration used here was encoded + key, err := recoverKeyFromSignature(sig, hash, iteration, false) + if err != nil { + return nil, false, err + } + + return key, ((signature[0] - 27) & 4) == 4, nil +} + +// signRFC6979 generates a deterministic ECDSA signature according to RFC 6979 +// and BIP 62. +func signRFC6979(privateKey *PrivateKey, hash []byte) (*Signature, error) { + + privkey := privateKey.ToECDSA() + N := order + k := NonceRFC6979(privkey.D, hash, nil, nil) + inv := new(big.Int).ModInverse(k, N) + r, _ := privkey.Curve.ScalarBaseMult(k.Bytes()) + if r.Cmp(N) == 1 { + r.Sub(r, N) + } + + if r.Sign() == 0 { + return nil, errors.New("calculated R is zero") + } + + e := hashToInt(hash) + s := new(big.Int).Mul(privkey.D, r) + s.Add(s, e) + s.Mul(s, inv) + s.Mod(s, N) + + if s.Cmp(halforder) == 1 { + s.Sub(N, s) + } + if s.Sign() == 0 { + return nil, errors.New("calculated S is zero") + } + return &Signature{R: r, S: s}, nil +} + +// NonceRFC6979 generates an ECDSA nonce (`k`) deterministically according to +// RFC 6979. It takes a 32-byte hash as an input and returns 32-byte nonce to +// be used in ECDSA algorithm. +func NonceRFC6979(privkey *big.Int, hash []byte, extra []byte, + version []byte) *big.Int { + curve := S256() + q := curve.Params().N + x := privkey + alg := sha256.New + + qlen := q.BitLen() + holen := alg().Size() + rolen := (qlen + 7) >> 3 + bx := append(int2octets(x, rolen), bits2octets(hash, rolen)...) + if len(extra) == 32 { + bx = append(bx, extra...) + } + if len(version) == 16 && len(extra) == 32 { + bx = append(bx, extra...) + } + if len(version) == 16 && len(extra) != 32 { + bx = append(bx, bytes.Repeat([]byte{0x00}, 32)...) + bx = append(bx, version...) + } + + // Step B + v := bytes.Repeat(oneInitializer, holen) + + // Step C (Go zeroes the all allocated memory) + k := make([]byte, holen) + + // Step D + k = mac(alg, k, append(append(v, 0x00), bx...)) + + // Step E + v = mac(alg, k, v) + + // Step F + k = mac(alg, k, append(append(v, 0x01), bx...)) + + // Step G + v = mac(alg, k, v) + + // Step H + for { + // Step H1 + var t []byte + + // Step H2 + for len(t)*8 < qlen { + v = mac(alg, k, v) + t = append(t, v...) + } + + // Step H3 + secret := hashToInt(t) + if secret.Cmp(one) >= 0 && secret.Cmp(q) < 0 { + return secret + } + k = mac(alg, k, append(v, 0x00)) + v = mac(alg, k, v) + } +} + +// mac returns an HMAC of the given key and message. +func mac(alg func() hash.Hash, k, m []byte) []byte { + h := hmac.New(alg, k) + h.Write(m) + return h.Sum(nil) +} + +// https://tools.ietf.org/html/rfc6979#section-2.3.3 +func int2octets(v *big.Int, rolen int) []byte { + out := v.Bytes() + + // left pad with zeros if it's too short + if len(out) < rolen { + out2 := make([]byte, rolen) + copy(out2[rolen-len(out):], out) + return out2 + } + + // drop most significant bytes if it's too long + if len(out) > rolen { + out2 := make([]byte, rolen) + copy(out2, out[len(out)-rolen:]) + return out2 + } + + return out +} + +// https://tools.ietf.org/html/rfc6979#section-2.3.4 +func bits2octets(in []byte, rolen int) []byte { + z1 := hashToInt(in) + z2 := new(big.Int).Sub(z1, S256().Params().N) + if z2.Sign() < 0 { + return int2octets(z1, rolen) + } + return int2octets(z2, rolen) +} + +// GetR satisfies the chainec PublicKey interface. +func (sig Signature) GetR() *big.Int { + return sig.R +} + +// GetS satisfies the chainec PublicKey interface. +func (sig Signature) GetS() *big.Int { + return sig.S +} + +// GetType satisfies the chainec Signature interface. +func (sig Signature) GetType() int { + return ecTypeSecp256k1 +} diff --git a/crypto/ecc/secp256k1/signature_test.go b/crypto/ecc/secp256k1/signature_test.go new file mode 100644 index 0000000..60d0eba --- /dev/null +++ b/crypto/ecc/secp256k1/signature_test.go @@ -0,0 +1,610 @@ +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package secp256k1 + +import ( + "bytes" + "crypto/rand" + "crypto/sha256" + "encoding/hex" + "fmt" + "math/big" + "testing" +) + +type signatureTest struct { + name string + sig []byte + der bool + isValid bool +} + +// decodeHex decodes the passed hex string and returns the resulting bytes. It +// panics if an error occurs. This is only used in the tests as a helper since +// the only way it can fail is if there is an error in the test source code. +func decodeHex(hexStr string) []byte { + b, err := hex.DecodeString(hexStr) + if err != nil { + panic("invalid hex string in test source: err " + err.Error() + + ", hex: " + hexStr) + } + + return b +} + +var signatureTests = []signatureTest{ + // signatures from bitcoin blockchain tx + // 0437cd7f8525ceed2324359c2d0ba26006d92d85 + { + name: "valid signature.", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: true, + }, + { + name: "empty.", + sig: []byte{}, + isValid: false, + }, + { + name: "bad magic.", + sig: []byte{0x31, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "bad 1st int marker magic.", + sig: []byte{0x30, 0x44, 0x03, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "bad 2nd int marker.", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x03, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "short len", + sig: []byte{0x30, 0x43, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "long len", + sig: []byte{0x30, 0x45, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "long X", + sig: []byte{0x30, 0x44, 0x02, 0x42, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "long Y", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x21, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "short Y", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x19, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "trailing crap.", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, 0x01, + }, + der: true, + + // This test is now passing (used to be failing) because there + // are signatures in the blockchain that have trailing zero + // bytes before the hashtype. So ParseSignature was fixed to + // permit buffers with trailing nonsense after the actual + // signature. + isValid: true, + }, + { + name: "X == N ", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, + 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "X == N ", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, + 0xA0, 0x3B, 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, + 0x42, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: false, + isValid: false, + }, + { + name: "Y == N", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, + 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x41, + }, + der: true, + isValid: false, + }, + { + name: "Y > N", + sig: []byte{0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, + 0xFE, 0xBA, 0xAE, 0xDC, 0xE6, 0xAF, 0x48, 0xA0, 0x3B, + 0xBF, 0xD2, 0x5E, 0x8C, 0xD0, 0x36, 0x41, 0x42, + }, + der: false, + isValid: false, + }, + { + name: "0 len X.", + sig: []byte{0x30, 0x24, 0x02, 0x00, 0x02, 0x20, 0x18, 0x15, + 0x22, 0xec, 0x8e, 0xca, 0x07, 0xde, 0x48, 0x60, 0xa4, + 0xac, 0xdd, 0x12, 0x90, 0x9d, 0x83, 0x1c, 0xc5, 0x6c, + 0xbb, 0xac, 0x46, 0x22, 0x08, 0x22, 0x21, 0xa8, 0x76, + 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "0 len Y.", + sig: []byte{0x30, 0x24, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x00, + }, + der: true, + isValid: false, + }, + { + name: "extra R padding.", + sig: []byte{0x30, 0x45, 0x02, 0x21, 0x00, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x20, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + { + name: "extra S padding.", + sig: []byte{0x30, 0x45, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x21, 0x00, 0x18, 0x15, 0x22, 0xec, 0x8e, 0xca, + 0x07, 0xde, 0x48, 0x60, 0xa4, 0xac, 0xdd, 0x12, 0x90, + 0x9d, 0x83, 0x1c, 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, + 0x08, 0x22, 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + der: true, + isValid: false, + }, + // Standard checks (in BER format, without checking for 'canonical' DER + // signatures) don't test for negative numbers here because there isn't + // a way that is the same between openssl and go that will mark a number + // as negative. The Go ASN.1 parser marks numbers as negative when + // openssl does not (it doesn't handle negative numbers that I can tell + // at all. When not parsing DER signatures, which is done by by bitcoind + // when accepting transactions into its mempool, we otherwise only check + // for the coordinates being zero. + { + name: "X == 0", + sig: []byte{0x30, 0x25, 0x02, 0x01, 0x00, 0x02, 0x20, 0x18, + 0x15, 0x22, 0xec, 0x8e, 0xca, 0x07, 0xde, 0x48, 0x60, + 0xa4, 0xac, 0xdd, 0x12, 0x90, 0x9d, 0x83, 0x1c, 0xc5, + 0x6c, 0xbb, 0xac, 0x46, 0x22, 0x08, 0x22, 0x21, 0xa8, + 0x76, 0x8d, 0x1d, 0x09, + }, + der: false, + isValid: false, + }, + { + name: "Y == 0.", + sig: []byte{0x30, 0x25, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, 0xa1, + 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, 0xe9, 0xd6, + 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, 0x5f, 0xb8, 0xcd, + 0x41, 0x02, 0x01, 0x00, + }, + der: false, + isValid: false, + }, +} + +func TestSignatures(t *testing.T) { + for _, test := range signatureTests { + var err error + if test.der { + _, err = ParseDERSignature(test.sig, S256()) + } else { + _, err = ParseSignature(test.sig, S256()) + } + if err != nil { + if test.isValid { + t.Errorf("%s signature failed when shouldn't %v", + test.name, err) + } /* else { + t.Errorf("%s got error %v", test.name, err) + } */ + continue + } + if !test.isValid { + t.Errorf("%s counted as valid when it should fail", + test.name) + } + } +} + +// TestSignatureSerialize ensures that serializing signatures works as expected. +func TestSignatureSerialize(t *testing.T) { + tests := []struct { + name string + ecsig *Signature + expected []byte + }{ + // signature from bitcoin blockchain tx + // 0437cd7f8525ceed2324359c2d0ba26006d92d85 + { + "valid 1 - r and s most significant bits are zero", + &Signature{ + R: fromHex("4e45e16932b8af514961a1d3a1a25fdf3f4f7732e9d624c6c61548ab5fb8cd41"), + S: fromHex("181522ec8eca07de4860a4acdd12909d831cc56cbbac4622082221a8768d1d09"), + }, + []byte{ + 0x30, 0x44, 0x02, 0x20, 0x4e, 0x45, 0xe1, 0x69, + 0x32, 0xb8, 0xaf, 0x51, 0x49, 0x61, 0xa1, 0xd3, + 0xa1, 0xa2, 0x5f, 0xdf, 0x3f, 0x4f, 0x77, 0x32, + 0xe9, 0xd6, 0x24, 0xc6, 0xc6, 0x15, 0x48, 0xab, + 0x5f, 0xb8, 0xcd, 0x41, 0x02, 0x20, 0x18, 0x15, + 0x22, 0xec, 0x8e, 0xca, 0x07, 0xde, 0x48, 0x60, + 0xa4, 0xac, 0xdd, 0x12, 0x90, 0x9d, 0x83, 0x1c, + 0xc5, 0x6c, 0xbb, 0xac, 0x46, 0x22, 0x08, 0x22, + 0x21, 0xa8, 0x76, 0x8d, 0x1d, 0x09, + }, + }, + // signature from bitcoin blockchain tx + // cb00f8a0573b18faa8c4f467b049f5d202bf1101d9ef2633bc611be70376a4b4 + { + "valid 2 - r most significant bit is one", + &Signature{ + R: fromHex("0082235e21a2300022738dabb8e1bbd9d19cfb1e7ab8c30a23b0afbb8d178abcf3"), + S: fromHex("24bf68e256c534ddfaf966bf908deb944305596f7bdcc38d69acad7f9c868724"), + }, + []byte{ + 0x30, 0x45, 0x02, 0x21, 0x00, 0x82, 0x23, 0x5e, + 0x21, 0xa2, 0x30, 0x00, 0x22, 0x73, 0x8d, 0xab, + 0xb8, 0xe1, 0xbb, 0xd9, 0xd1, 0x9c, 0xfb, 0x1e, + 0x7a, 0xb8, 0xc3, 0x0a, 0x23, 0xb0, 0xaf, 0xbb, + 0x8d, 0x17, 0x8a, 0xbc, 0xf3, 0x02, 0x20, 0x24, + 0xbf, 0x68, 0xe2, 0x56, 0xc5, 0x34, 0xdd, 0xfa, + 0xf9, 0x66, 0xbf, 0x90, 0x8d, 0xeb, 0x94, 0x43, + 0x05, 0x59, 0x6f, 0x7b, 0xdc, 0xc3, 0x8d, 0x69, + 0xac, 0xad, 0x7f, 0x9c, 0x86, 0x87, 0x24, + }, + }, + // signature from bitcoin blockchain tx + // fda204502a3345e08afd6af27377c052e77f1fefeaeb31bdd45f1e1237ca5470 + { + "valid 3 - s most significant bit is one", + &Signature{ + R: fromHex("1cadddc2838598fee7dc35a12b340c6bde8b389f7bfd19a1252a17c4b5ed2d71"), + S: new(big.Int).Add(fromHex("00c1a251bbecb14b058a8bd77f65de87e51c47e95904f4c0e9d52eddc21c1415ac"), S256().N), + }, + []byte{ + 0x30, 0x45, 0x02, 0x20, 0x1c, 0xad, 0xdd, 0xc2, + 0x83, 0x85, 0x98, 0xfe, 0xe7, 0xdc, 0x35, 0xa1, + 0x2b, 0x34, 0x0c, 0x6b, 0xde, 0x8b, 0x38, 0x9f, + 0x7b, 0xfd, 0x19, 0xa1, 0x25, 0x2a, 0x17, 0xc4, + 0xb5, 0xed, 0x2d, 0x71, 0x02, 0x21, 0x00, 0xc1, + 0xa2, 0x51, 0xbb, 0xec, 0xb1, 0x4b, 0x05, 0x8a, + 0x8b, 0xd7, 0x7f, 0x65, 0xde, 0x87, 0xe5, 0x1c, + 0x47, 0xe9, 0x59, 0x04, 0xf4, 0xc0, 0xe9, 0xd5, + 0x2e, 0xdd, 0xc2, 0x1c, 0x14, 0x15, 0xac, + }, + }, + { + "zero signature", + &Signature{ + R: big.NewInt(0), + S: big.NewInt(0), + }, + []byte{0x30, 0x06, 0x02, 0x01, 0x00, 0x02, 0x01, 0x00}, + }, + } + + for i, test := range tests { + result := test.ecsig.Serialize() + if !bytes.Equal(result, test.expected) { + t.Errorf("Serialize #%d (%s) unexpected result:\n"+ + "got: %x\nwant: %x", i, test.name, result, + test.expected) + } + } +} + +func testSignCompact(t *testing.T, tag string, + data []byte, isCompressed bool) { + tmp, _ := GeneratePrivateKey() + priv := (*PrivateKey)(tmp) + + hashed := []byte("testing") + sig, err := SignCompact(priv, hashed, isCompressed) + if err != nil { + t.Errorf("%s: error signing: %s", tag, err) + return + } + + pk, wasCompressed, err := RecoverCompact(sig, hashed) + if err != nil { + t.Errorf("%s: error recovering: %s", tag, err) + return + } + if pk.X.Cmp(priv.X) != 0 || pk.Y.Cmp(priv.Y) != 0 { + t.Errorf("%s: recovered pubkey doesn't match original "+ + "(%v,%v) vs (%v,%v) ", tag, pk.X, pk.Y, priv.X, priv.Y) + return + } + if wasCompressed != isCompressed { + t.Errorf("%s: recovered pubkey doesn't match compressed state "+ + "(%v vs %v)", tag, isCompressed, wasCompressed) + return + } + + // If we change the compressed bit we should get the same key back, + // but the compressed flag should be reversed. + if isCompressed { + sig[0] -= 4 + } else { + sig[0] += 4 + } + + pk, wasCompressed, err = RecoverCompact(sig, hashed) + if err != nil { + t.Errorf("%s: error recovering (2): %s", tag, err) + return + } + if pk.X.Cmp(priv.X) != 0 || pk.Y.Cmp(priv.Y) != 0 { + t.Errorf("%s: recovered pubkey (2) doesn't match original "+ + "(%v,%v) vs (%v,%v) ", tag, pk.X, pk.Y, priv.X, priv.Y) + return + } + if wasCompressed == isCompressed { + t.Errorf("%s: recovered pubkey doesn't match reversed "+ + "compressed state (%v vs %v)", tag, isCompressed, + wasCompressed) + return + } +} + +func TestSignCompact(t *testing.T) { + for i := 0; i < 256; i++ { + name := fmt.Sprintf("test %d", i) + data := make([]byte, 32) + _, err := rand.Read(data) + if err != nil { + t.Errorf("failed to read random data for %s", name) + continue + } + compressed := i%2 != 0 + testSignCompact(t, name, data, compressed) + } +} + +func TestRFC6979(t *testing.T) { + // Test vectors matching Trezor and CoreBitcoin implementations. + // - https://github.com/trezor/trezor-crypto/blob/9fea8f8ab377dc514e40c6fd1f7c89a74c1d8dc6/tests.c#L432-L453 + // - https://github.com/oleganza/CoreBitcoin/blob/e93dd71207861b5bf044415db5fa72405e7d8fbc/CoreBitcoin/BTCKey%2BTests.m#L23-L49 + tests := []struct { + key string + msg string + nonce string + signature string + }{ + { + "cca9fbcc1b41e5a95d369eaa6ddcff73b61a4efaa279cfc6567e8daa39cbaf50", + "sample", + "2df40ca70e639d89528a6b670d9d48d9165fdc0febc0974056bdce192b8e16a3", + "3045022100af340daf02cc15c8d5d08d7735dfe6b98a474ed373bdb5fbecf7571be52b384202205009fb27f37034a9b24b707b7c6b79ca23ddef9e25f7282e8a797efe53a8f124", + }, + { + // This signature hits the case when S is higher than halforder. + // If S is not canonicalized (lowered by halforder), this test will fail. + "0000000000000000000000000000000000000000000000000000000000000001", + "Satoshi Nakamoto", + "8f8a276c19f4149656b280621e358cce24f5f52542772691ee69063b74f15d15", + "3045022100934b1ea10a4b3c1757e2b0c017d0b6143ce3c9a7e6a4a49860d7a6ab210ee3d802202442ce9d2b916064108014783e923ec36b49743e2ffa1c4496f01a512aafd9e5", + }, + { + "fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364140", + "Satoshi Nakamoto", + "33a19b60e25fb6f4435af53a3d42d493644827367e6453928554f43e49aa6f90", + "3045022100fd567d121db66e382991534ada77a6bd3106f0a1098c231e47993447cd6af2d002206b39cd0eb1bc8603e159ef5c20a5c8ad685a45b06ce9bebed3f153d10d93bed5", + }, + { + "f8b8af8ce3c7cca5e300d33939540c10d45ce001b8f252bfbc57ba0342904181", + "Alan Turing", + "525a82b70e67874398067543fd84c83d30c175fdc45fdeee082fe13b1d7cfdf1", + "304402207063ae83e7f62bbb171798131b4a0564b956930092b33b07b395615d9ec7e15c022058dfcc1e00a35e1572f366ffe34ba0fc47db1e7189759b9fb233c5b05ab388ea", + }, + { + "0000000000000000000000000000000000000000000000000000000000000001", + "All those moments will be lost in time, like tears in rain. Time to die...", + "38aa22d72376b4dbc472e06c3ba403ee0a394da63fc58d88686c611aba98d6b3", + "30450221008600dbd41e348fe5c9465ab92d23e3db8b98b873beecd930736488696438cb6b0220547fe64427496db33bf66019dacbf0039c04199abb0122918601db38a72cfc21", + }, + { + "e91671c46231f833a6406ccbea0e3e392c76c167bac1cb013f6f1013980455c2", + "There is a computer disease that anybody who works with computers knows about. It's a very serious disease and it interferes completely with the work. The trouble with computers is that you 'play' with them!", + "1f4b84c23a86a221d233f2521be018d9318639d5b8bbd6374a8a59232d16ad3d", + "3045022100b552edd27580141f3b2a5463048cb7cd3e047b97c9f98076c32dbdf85a68718b0220279fa72dd19bfae05577e06c7c0c1900c371fcd5893f7e1d56a37d30174671f6", + }, + } + + for i, test := range tests { + privKey, _ := PrivKeyFromBytes(decodeHex(test.key)) + hash := sha256.Sum256([]byte(test.msg)) + + // Ensure deterministically generated nonce is the expected value. + gotNonce := NonceRFC6979(privKey.D, hash[:], nil, nil).Bytes() + wantNonce := decodeHex(test.nonce) + if !bytes.Equal(gotNonce, wantNonce) { + t.Errorf("NonceRFC6979 #%d (%s): Nonce is incorrect: "+ + "%x (expected %x)", i, test.msg, gotNonce, + wantNonce) + continue + } + + // Ensure deterministically generated signature is the expected value. + gotSig, err := privKey.Sign(hash[:]) + if err != nil { + t.Errorf("Sign #%d (%s): unexpected error: %v", i, + test.msg, err) + continue + } + gotSigBytes := gotSig.Serialize() + wantSigBytes := decodeHex(test.signature) + if !bytes.Equal(gotSigBytes, wantSigBytes) { + t.Errorf("Sign #%d (%s): mismatched signature: %x "+ + "(expected %x)", i, test.msg, gotSigBytes, + wantSigBytes) + continue + } + } +} + +func TestSignatureIsEqual(t *testing.T) { + sig1 := &Signature{ + R: fromHex("0082235e21a2300022738dabb8e1bbd9d19cfb1e7ab8c30a23b0afbb8d178abcf3"), + S: fromHex("24bf68e256c534ddfaf966bf908deb944305596f7bdcc38d69acad7f9c868724"), + } + sig2 := &Signature{ + R: fromHex("4e45e16932b8af514961a1d3a1a25fdf3f4f7732e9d624c6c61548ab5fb8cd41"), + S: fromHex("181522ec8eca07de4860a4acdd12909d831cc56cbbac4622082221a8768d1d09"), + } + + if !sig1.IsEqual(sig1) { + t.Fatalf("value of IsEqual is incorrect, %v is "+ + "equal to %v", sig1, sig1) + } + + if sig1.IsEqual(sig2) { + t.Fatalf("value of IsEqual is incorrect, %v is not "+ + "equal to %v", sig1, sig2) + } +} diff --git a/crypto/ecc/secschnorr.go b/crypto/ecc/secschnorr.go new file mode 100644 index 0000000..0d42d35 --- /dev/null +++ b/crypto/ecc/secschnorr.go @@ -0,0 +1,308 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package ecc + +import ( + "fmt" + "io" + "math/big" + + "github.com/Qitmeer/qng-core/crypto/ecc/schnorr" + "github.com/Qitmeer/qng-core/crypto/ecc/secp256k1" +) + +type secSchnorrDSA struct { + // Constants + getN func() *big.Int + getP func() *big.Int + + // EC Math + add func(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) + isOnCurve func(x *big.Int, y *big.Int) bool + scalarMult func(x, y *big.Int, k []byte) (*big.Int, *big.Int) + scalarBaseMult func(k []byte) (*big.Int, *big.Int) + + // Private keys + newPrivateKey func(d *big.Int) PrivateKey + privKeyFromBytes func(pk []byte) (PrivateKey, PublicKey) + privKeyFromScalar func(pk []byte) (PrivateKey, PublicKey) + privKeyBytesLen func() int + + // Public keys + newPublicKey func(x *big.Int, y *big.Int) PublicKey + parsePubKey func(pubKeyStr []byte) (PublicKey, error) + pubKeyBytesLen func() int + pubKeyBytesLenUncompressed func() int + pubKeyBytesLenCompressed func() int + + // Signatures + newSignature func(r *big.Int, s *big.Int) Signature + parseDERSignature func(sigStr []byte) (Signature, error) + parseSignature func(sigStr []byte) (Signature, error) + recoverCompact func(signature, hash []byte) (PublicKey, bool, error) + + // ECDSA + generateKey func(rand io.Reader) ([]byte, *big.Int, *big.Int, error) + sign func(priv PrivateKey, hash []byte) (r, s *big.Int, err error) + verify func(pub PublicKey, hash []byte, r, s *big.Int) bool + + // Symmetric cipher encryption + generateSharedSecret func(privkey []byte, x, y *big.Int) []byte + encrypt func(x, y *big.Int, in []byte) ([]byte, error) + decrypt func(privkey []byte, in []byte) ([]byte, error) +} + +// Boilerplate exported functions to make the struct interact with the interface. +// Constants +func (sp secSchnorrDSA) GetP() *big.Int { + return sp.getP() +} +func (sp secSchnorrDSA) GetN() *big.Int { + return sp.getN() +} + +// EC Math +func (sp secSchnorrDSA) Add(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + return sp.add(x1, y1, x2, y2) +} +func (sp secSchnorrDSA) IsOnCurve(x, y *big.Int) bool { + return sp.isOnCurve(x, y) +} +func (sp secSchnorrDSA) ScalarMult(x, y *big.Int, k []byte) (*big.Int, *big.Int) { + return sp.scalarMult(x, y, k) +} +func (sp secSchnorrDSA) ScalarBaseMult(k []byte) (*big.Int, *big.Int) { + return sp.scalarBaseMult(k) +} + +// Private keys +func (sp secSchnorrDSA) NewPrivateKey(d *big.Int) PrivateKey { + return sp.newPrivateKey(d) +} +func (sp secSchnorrDSA) PrivKeyFromBytes(pk []byte) (PrivateKey, PublicKey) { + return sp.privKeyFromBytes(pk) +} +func (sp secSchnorrDSA) PrivKeyFromScalar(pk []byte) (PrivateKey, PublicKey) { + return sp.privKeyFromScalar(pk) +} +func (sp secSchnorrDSA) PrivKeyBytesLen() int { + return sp.privKeyBytesLen() +} + +// Public keys +func (sp secSchnorrDSA) NewPublicKey(x *big.Int, y *big.Int) PublicKey { + return sp.newPublicKey(x, y) +} +func (sp secSchnorrDSA) ParsePubKey(pubKeyStr []byte) (PublicKey, error) { + return sp.parsePubKey(pubKeyStr) +} +func (sp secSchnorrDSA) PubKeyBytesLen() int { + return sp.pubKeyBytesLen() +} +func (sp secSchnorrDSA) PubKeyBytesLenUncompressed() int { + return sp.pubKeyBytesLenUncompressed() +} +func (sp secSchnorrDSA) PubKeyBytesLenCompressed() int { + return sp.pubKeyBytesLenCompressed() +} + +// Signatures +func (sp secSchnorrDSA) NewSignature(r, s *big.Int) Signature { + return sp.newSignature(r, s) +} +func (sp secSchnorrDSA) ParseDERSignature(sigStr []byte) (Signature, error) { + return sp.parseDERSignature(sigStr) +} +func (sp secSchnorrDSA) ParseSignature(sigStr []byte) (Signature, error) { + return sp.parseSignature(sigStr) +} +func (sp secSchnorrDSA) RecoverCompact(signature, hash []byte) (PublicKey, bool, + error) { + return sp.recoverCompact(signature, hash) +} + +// ECDSA +func (sp secSchnorrDSA) GenerateKey(rand io.Reader) ([]byte, *big.Int, *big.Int, + error) { + return sp.generateKey(rand) +} +func (sp secSchnorrDSA) Sign(priv PrivateKey, hash []byte) (r, s *big.Int, + err error) { + r, s, err = sp.sign(priv, hash) + return +} +func (sp secSchnorrDSA) Verify(pub PublicKey, hash []byte, r, s *big.Int) bool { + return sp.verify(pub, hash, r, s) +} + +// Symmetric cipher encryption +func (sp secSchnorrDSA) GenerateSharedSecret(privkey []byte, x, y *big.Int) []byte { + return sp.generateSharedSecret(privkey, x, y) +} +func (sp secSchnorrDSA) Encrypt(x, y *big.Int, in []byte) ([]byte, + error) { + return sp.encrypt(x, y, in) +} +func (sp secSchnorrDSA) Decrypt(privkey []byte, in []byte) ([]byte, + error) { + return sp.decrypt(privkey, in) +} + +// newSecSchnorrDSA instatiates a function DSA subsystem over the secp256k1 +// curve. A caveat for the functions below is that they're all routed through +// interfaces, and nil returns from the library itself for interfaces must +// ALWAYS be checked by checking the return value by attempted dereference +// (== nil). +func newSecSchnorrDSA() DSA { + var secp DSA = &secSchnorrDSA{ + // Constants + getP: func() *big.Int { + return secp256k1Curve.P + }, + getN: func() *big.Int { + return secp256k1Curve.N + }, + + // EC Math + add: func(x1, y1, x2, y2 *big.Int) (*big.Int, *big.Int) { + return secp256k1Curve.Add(x1, y1, x2, y2) + }, + isOnCurve: func(x, y *big.Int) bool { + return secp256k1Curve.IsOnCurve(x, y) + }, + scalarMult: func(x, y *big.Int, k []byte) (*big.Int, *big.Int) { + return secp256k1Curve.ScalarMult(x, y, k) + }, + scalarBaseMult: func(k []byte) (*big.Int, *big.Int) { + return secp256k1Curve.ScalarBaseMult(k) + }, + + // Private keys + newPrivateKey: func(d *big.Int) PrivateKey { + pk := secp256k1.NewPrivateKey(d) + if pk != nil { + return PrivateKey(pk) + } + return nil + }, + privKeyFromBytes: func(pk []byte) (PrivateKey, PublicKey) { + priv, pub := secp256k1.PrivKeyFromBytes(pk) + if priv == nil { + return nil, nil + } + if pub == nil { + return nil, nil + } + tpriv := PrivateKey(priv) + tpub := PublicKey(pub) + return tpriv, tpub + }, + privKeyFromScalar: func(pk []byte) (PrivateKey, PublicKey) { + priv, pub := secp256k1.PrivKeyFromScalar(pk) + if priv == nil { + return nil, nil + } + if pub == nil { + return nil, nil + } + tpriv := PrivateKey(priv) + tpub := PublicKey(pub) + return tpriv, tpub + }, + privKeyBytesLen: func() int { + return secp256k1.PrivKeyBytesLen + }, + + // Public keys + // Note that Schnorr only allows 33 byte public keys, however + // as they are secp256k1 you still have access to the other + // serialization types. + newPublicKey: func(x *big.Int, y *big.Int) PublicKey { + pk := secp256k1.NewPublicKey(x, y) + tpk := PublicKey(pk) + return tpk + }, + parsePubKey: func(pubKeyStr []byte) (PublicKey, error) { + pk, err := schnorr.ParsePubKey(secp256k1Curve, pubKeyStr) + if err != nil { + return nil, err + } + tpk := PublicKey(pk) + return tpk, err + }, + pubKeyBytesLen: func() int { + return schnorr.PubKeyBytesLen + }, + pubKeyBytesLenUncompressed: func() int { + return schnorr.PubKeyBytesLen + }, + pubKeyBytesLenCompressed: func() int { + return schnorr.PubKeyBytesLen + }, + + // Signatures + newSignature: func(r *big.Int, s *big.Int) Signature { + sig := schnorr.NewSignature(r, s) + ts := Signature(sig) + return ts + }, + parseDERSignature: func(sigStr []byte) (Signature, error) { + sig, err := schnorr.ParseSignature(sigStr) + ts := Signature(sig) + return ts, err + }, + parseSignature: func(sigStr []byte) (Signature, error) { + sig, err := schnorr.ParseSignature(sigStr) + ts := Signature(sig) + return ts, err + }, + recoverCompact: func(signature, hash []byte) (PublicKey, bool, error) { + pk, bl, err := schnorr.RecoverPubkey(signature, + hash) + tpk := PublicKey(pk) + return tpk, bl, err + }, + + // ECDSA + generateKey: func(rand io.Reader) ([]byte, *big.Int, *big.Int, error) { + return secp256k1.GenerateKey(rand) + }, + sign: func(priv PrivateKey, hash []byte) (r, s *big.Int, err error) { + spriv := secp256k1.NewPrivateKey(priv.GetD()) + return schnorr.Sign(spriv, hash) + }, + verify: func(pub PublicKey, hash []byte, r, s *big.Int) bool { + spub := secp256k1.NewPublicKey(pub.GetX(), pub.GetY()) + return schnorr.Verify(spub, hash, r, s) + }, + + // Symmetric cipher encryption + generateSharedSecret: func(privkey []byte, x, y *big.Int) []byte { + sprivkey, _ := secp256k1.PrivKeyFromBytes(privkey) + if sprivkey == nil { + return nil + } + spubkey := secp256k1.NewPublicKey(x, y) + + return secp256k1.GenerateSharedSecret(sprivkey, spubkey) + }, + encrypt: func(x, y *big.Int, in []byte) ([]byte, error) { + spubkey := secp256k1.NewPublicKey(x, y) + + return secp256k1.Encrypt(spubkey, in) + }, + decrypt: func(privkey []byte, in []byte) ([]byte, error) { + sprivkey, _ := secp256k1.PrivKeyFromBytes(privkey) + if sprivkey == nil { + return nil, fmt.Errorf("failure deserializing privkey") + } + + return secp256k1.Decrypt(sprivkey, in) + }, + } + + return secp.(DSA) +} diff --git a/crypto/seed/seed.go b/crypto/seed/seed.go new file mode 100644 index 0000000..f442cec --- /dev/null +++ b/crypto/seed/seed.go @@ -0,0 +1,51 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package seed + +import ( + "crypto/rand" + "fmt" +) + +const ( + + // The Default length in bytes for a seed + DefaultSeedBytes = 32 // 256 bits + + // MinSeedBytes is the minimum number of bytes allowed for a seed + MinSeedBytes = 16 // 128 bits + + // MaxSeedBytes is the maximum number of bytes allowed for a seed + MaxSeedBytes = 256 // 1024 bits +) + +var ( + // ErrInvalidSeedLen describes an error in which the provided seed or + // seed length is not in the allowed range. + ErrInvalidSeedLen = fmt.Errorf("seed length must be between %d and %d "+ + "bits", MinSeedBytes*8, MaxSeedBytes*8) +) + +// GenerateSeed returns a cryptographically secure random seed +// that can be used as the input for the further usage. +// +// The length is in bytes and it must be between 16 and 256 (128 to 1024 bits). +// The default length is 32 (256 bits) as defined by the DefaultSeedLength constant. +func GenerateSeed(length uint16) ([]byte, error) { + // Per [BIP32], the seed must be in range [MinSeedBytes, MaxSeedBytes]. + if length < MinSeedBytes || length > MaxSeedBytes { + return nil, ErrInvalidSeedLen + } + + buf := make([]byte, length) + _, err := rand.Read(buf) + if err != nil { + return nil, err + } + + return buf, nil +} diff --git a/crypto/x16rv3/aes/aes.go b/crypto/x16rv3/aes/aes.go new file mode 100644 index 0000000..3c54e1b --- /dev/null +++ b/crypto/x16rv3/aes/aes.go @@ -0,0 +1,86 @@ +package aes + +var sbox = []uint8{ + 0x63, 0x7C, 0x77, 0x7B, 0xF2, 0x6B, 0x6F, 0xC5, 0x30, 0x01, 0x67, 0x2B, 0xFE, 0xD7, 0xAB, 0x76, + 0xCA, 0x82, 0xC9, 0x7D, 0xFA, 0x59, 0x47, 0xF0, 0xAD, 0xD4, 0xA2, 0xAF, 0x9C, 0xA4, 0x72, 0xC0, + 0xB7, 0xFD, 0x93, 0x26, 0x36, 0x3F, 0xF7, 0xCC, 0x34, 0xA5, 0xE5, 0xF1, 0x71, 0xD8, 0x31, 0x15, + 0x04, 0xC7, 0x23, 0xC3, 0x18, 0x96, 0x05, 0x9A, 0x07, 0x12, 0x80, 0xE2, 0xEB, 0x27, 0xB2, 0x75, + 0x09, 0x83, 0x2C, 0x1A, 0x1B, 0x6E, 0x5A, 0xA0, 0x52, 0x3B, 0xD6, 0xB3, 0x29, 0xE3, 0x2F, 0x84, + 0x53, 0xD1, 0x00, 0xED, 0x20, 0xFC, 0xB1, 0x5B, 0x6A, 0xCB, 0xBE, 0x39, 0x4A, 0x4C, 0x58, 0xCF, + 0xD0, 0xEF, 0xAA, 0xFB, 0x43, 0x4D, 0x33, 0x85, 0x45, 0xF9, 0x02, 0x7F, 0x50, 0x3C, 0x9F, 0xA8, + 0x51, 0xA3, 0x40, 0x8F, 0x92, 0x9D, 0x38, 0xF5, 0xBC, 0xB6, 0xDA, 0x21, 0x10, 0xFF, 0xF3, 0xD2, + 0xCD, 0x0C, 0x13, 0xEC, 0x5F, 0x97, 0x44, 0x17, 0xC4, 0xA7, 0x7E, 0x3D, 0x64, 0x5D, 0x19, 0x73, + 0x60, 0x81, 0x4F, 0xDC, 0x22, 0x2A, 0x90, 0x88, 0x46, 0xEE, 0xB8, 0x14, 0xDE, 0x5E, 0x0B, 0xDB, + 0xE0, 0x32, 0x3A, 0x0A, 0x49, 0x06, 0x24, 0x5C, 0xC2, 0xD3, 0xAC, 0x62, 0x91, 0x95, 0xE4, 0x79, + 0xE7, 0xC8, 0x37, 0x6D, 0x8D, 0xD5, 0x4E, 0xA9, 0x6C, 0x56, 0xF4, 0xEA, 0x65, 0x7A, 0xAE, 0x08, + 0xBA, 0x78, 0x25, 0x2E, 0x1C, 0xA6, 0xB4, 0xC6, 0xE8, 0xDD, 0x74, 0x1F, 0x4B, 0xBD, 0x8B, 0x8A, + 0x70, 0x3E, 0xB5, 0x66, 0x48, 0x03, 0xF6, 0x0E, 0x61, 0x35, 0x57, 0xB9, 0x86, 0xC1, 0x1D, 0x9E, + 0xE1, 0xF8, 0x98, 0x11, 0x69, 0xD9, 0x8E, 0x94, 0x9B, 0x1E, 0x87, 0xE9, 0xCE, 0x55, 0x28, 0xDF, + 0x8C, 0xA1, 0x89, 0x0D, 0xBF, 0xE6, 0x42, 0x68, 0x41, 0x99, 0x2D, 0x0F, 0xB0, 0x54, 0xBB, 0x16} + +var tmp [4][4]uint8 + +func Aes_enc_soft(a, b, roundKey []uint64) []uint64 { + var temp, Tmp, Tm, t uint8 + + for k := 0; k < 2; k++ { + for i := 0; i < 2; i++ { + for j := 0; j < 4; j++ { + tmp[k*2+i][j] = uint8(b[k] >> uint(i*32+8*j)) + } + } + } + + // Rotate first row 1 columns to left + temp = tmp[0][1] + tmp[0][1] = tmp[1][1] + tmp[1][1] = tmp[2][1] + tmp[2][1] = tmp[3][1] + tmp[3][1] = temp + + // Rotate second row 2 columns to left + temp = tmp[0][2] + tmp[0][2] = tmp[2][2] + tmp[2][2] = temp + + temp = tmp[1][2] + tmp[1][2] = tmp[3][2] + tmp[3][2] = temp + + // Rotate third row 3 columns to left + temp = tmp[0][3] + tmp[0][3] = tmp[3][3] + tmp[3][3] = tmp[2][3] + tmp[2][3] = tmp[1][3] + tmp[1][3] = temp + + for i := 0; i < 4; i++ { + for j := 0; j < 4; j++ { + tmp[j][i] = sbox[tmp[j][i]] + } + } + + for i := 0; i < 4; i++ { + t = tmp[i][0] + Tmp = tmp[i][0] ^ tmp[i][1] ^ tmp[i][2] ^ tmp[i][3] + Tm = tmp[i][0] ^ tmp[i][1] + Tm = ((Tm << 1) ^ (((Tm >> 7) & 1) * 0x1b)) + tmp[i][0] ^= Tm ^ Tmp + Tm = tmp[i][1] ^ tmp[i][2] + Tm = ((Tm << 1) ^ (((Tm >> 7) & 1) * 0x1b)) + tmp[i][1] ^= Tm ^ Tmp + Tm = tmp[i][2] ^ tmp[i][3] + Tm = ((Tm << 1) ^ (((Tm >> 7) & 1) * 0x1b)) + tmp[i][2] ^= Tm ^ Tmp + Tm = tmp[i][3] ^ t + Tm = ((Tm << 1) ^ (((Tm >> 7) & 1) * 0x1b)) + tmp[i][3] ^= Tm ^ Tmp + } + + a[0] = uint64(tmp[0][0]) | (uint64(tmp[0][1]) << 8) | (uint64(tmp[0][2]) << 16) | (uint64(tmp[0][3]) << 24) | (uint64(tmp[1][0]) << 32) | (uint64(tmp[1][1]) << 40) | (uint64(tmp[1][2]) << 48) | (uint64(tmp[1][3]) << 56) + a[1] = uint64(tmp[2][0]) | (uint64(tmp[2][1]) << 8) | (uint64(tmp[2][2]) << 16) | (uint64(tmp[2][3]) << 24) | (uint64(tmp[3][0]) << 32) | (uint64(tmp[3][1]) << 40) | (uint64(tmp[3][2]) << 48) | (uint64(tmp[3][3]) << 56) + + a[0] ^= roundKey[0] + a[1] ^= roundKey[1] + return a +} diff --git a/crypto/x16rv3/aes/aes_test.go b/crypto/x16rv3/aes/aes_test.go new file mode 100644 index 0000000..969eec9 --- /dev/null +++ b/crypto/x16rv3/aes/aes_test.go @@ -0,0 +1,46 @@ +package aes + +import ( + "github.com/stretchr/testify/assert" + "testing" +) + +var input = [...]uint64{ + 0x020000008d870b41, 0x404883ac195d9920, 0x1225a41dd77969a6, 0x8374e68ec8ee7500, + 0x00000000a2123af0, 0x394e7606b5fec3cb, 0x96ddeea4d1d376ac, 0xc0daeb202c5fc670, + 0x6c5bb067c7044a53, 0xe3e6001c00104d49, 0x1c5bb367c7024a33, 0xb3e3003c40105d49, + 0x020000008d870b41, 0x404883ac195d9920, 0x1225a41dd77969a6, 0x8374e68ec8ee7500, + 0x00000000a2123af0, 0x394e7606b5fec3cb, 0x96ddeea4d1d376ac, 0xc0daeb202c5fc670, + 0x6c5bb067c7044a53, 0xe3e6001c00104d49, 0x1c5bb367c7024a33, 0xb3e3003c40105d49, +} + +var key = [...]uint64{ + 0xb3e3003c40105d49, 0x020000008d870b41, 0x404883ac195d9920, 0x1225a41dd77969a6, + 0x8374e68ec8ee7500, 0x00000000a2123af0, 0x394e7606b5fec3cb, 0x96ddeea4d1d376ac, + 0xc0daeb202c5fc670, 0x6c5bb067c7044a53, 0xe3e6001c00104d49, 0x1c5bb367c7024a33, + 0xb3e3003c40105d49, 0x020000008d870b41, 0x404883ac195d9920, 0x1225a41dd77969a6, + 0x8374e68ec8ee7500, 0x00000000a2123af0, 0x394e7606b5fec3cb, 0x96ddeea4d1d376ac, + 0xc0daeb202c5fc670, 0x6c5bb067c7044a53, 0xe3e6001c00104d49, 0x1c5bb367c7024a33, +} + +var golden = [...]uint64{ + 0x102d0fdce373c5b4, 0x511bb6f35a6b317b, 0xa45ca5dfd74fbb77, 0x3498fde8c3a30596, + 0x5329922fbb5afb0f, 0xe34d04f3b419762c, 0x7d5f8b3a9517f2ff, 0x4f580029960cd4d8, + 0xaeeafc470fe9aa58, 0xfac6b37fbb53ea22, 0xbd5ce80e23867cc4, 0xc70fadfbbd0bb20b, + 0x102d0fdce373c5b4, 0x511bb6f35a6b317b, 0xa45ca5dfd74fbb77, 0x3498fde8c3a30596, + 0x5329922fbb5afb0f, 0xe34d04f3b419762c, 0x7d5f8b3a9517f2ff, 0x4f580029960cd4d8, + 0xaeeafc470fe9aa58, 0xfac6b37fbb53ea22, 0xbd5ce80e23867cc4, 0xc70fadfbbd0bb20b, +} + +func TestAes_enc_soft(t *testing.T) { + out := make([]uint64, 24) + + for i := 0; i < 12; i++ { + Aes_enc_soft(out[i*2:], input[i*2:], key[i*2:]) + } + + for i := 0; i < 24; i++ { + assert.Equal(t, out[i], golden[i]) + } + +} diff --git a/crypto/x16rv3/aesr/aesr.go b/crypto/x16rv3/aesr/aesr.go new file mode 100644 index 0000000..3109dd9 --- /dev/null +++ b/crypto/x16rv3/aesr/aesr.go @@ -0,0 +1,311 @@ +package aesr + +// Round32sle mixes the input values with aes tables and returns the result. +func Round32sle(x0, x1, x2, x3 uint32) (uint32, uint32, uint32, uint32) { + y0 := (kAes0[x0&0xFF] ^ + kAes1[(x1>>8)&0xFF] ^ + kAes2[(x2>>16)&0xFF] ^ + kAes3[(x3>>24)&0xFF]) + y1 := (kAes0[x1&0xFF] ^ + kAes1[(x2>>8)&0xFF] ^ + kAes2[(x3>>16)&0xFF] ^ + kAes3[(x0>>24)&0xFF]) + y2 := (kAes0[x2&0xFF] ^ + kAes1[(x3>>8)&0xFF] ^ + kAes2[(x0>>16)&0xFF] ^ + kAes3[(x1>>24)&0xFF]) + y3 := (kAes0[x3&0xFF] ^ + kAes1[(x0>>8)&0xFF] ^ + kAes2[(x1>>16)&0xFF] ^ + kAes3[(x2>>24)&0xFF]) + return y0, y1, y2, y3 +} + +// Round32ble mixes the input values with aes tables and returns the result. +func Round32ble(x0, x1, x2, x3, k0, k1, k2, k3 uint32) (uint32, uint32, uint32, uint32) { + y0 := (kAes0[x0&0xFF] ^ + kAes1[(x1>>8)&0xFF] ^ + kAes2[(x2>>16)&0xFF] ^ + kAes3[(x3>>24)&0xFF] ^ k0) + y1 := (kAes0[x1&0xFF] ^ + kAes1[(x2>>8)&0xFF] ^ + kAes2[(x3>>16)&0xFF] ^ + kAes3[(x0>>24)&0xFF] ^ k1) + y2 := (kAes0[x2&0xFF] ^ + kAes1[(x3>>8)&0xFF] ^ + kAes2[(x0>>16)&0xFF] ^ + kAes3[(x1>>24)&0xFF] ^ k2) + y3 := (kAes0[x3&0xFF] ^ + kAes1[(x0>>8)&0xFF] ^ + kAes2[(x1>>16)&0xFF] ^ + kAes3[(x2>>24)&0xFF] ^ k3) + return y0, y1, y2, y3 +} + +var kAes0 = [256]uint32{ + uint32(0xA56363C6), uint32(0x847C7CF8), uint32(0x997777EE), uint32(0x8D7B7BF6), + uint32(0x0DF2F2FF), uint32(0xBD6B6BD6), uint32(0xB16F6FDE), uint32(0x54C5C591), + uint32(0x50303060), uint32(0x03010102), uint32(0xA96767CE), uint32(0x7D2B2B56), + uint32(0x19FEFEE7), uint32(0x62D7D7B5), uint32(0xE6ABAB4D), uint32(0x9A7676EC), + uint32(0x45CACA8F), uint32(0x9D82821F), uint32(0x40C9C989), uint32(0x877D7DFA), + uint32(0x15FAFAEF), uint32(0xEB5959B2), uint32(0xC947478E), uint32(0x0BF0F0FB), + uint32(0xECADAD41), uint32(0x67D4D4B3), uint32(0xFDA2A25F), uint32(0xEAAFAF45), + uint32(0xBF9C9C23), uint32(0xF7A4A453), uint32(0x967272E4), uint32(0x5BC0C09B), + uint32(0xC2B7B775), uint32(0x1CFDFDE1), uint32(0xAE93933D), uint32(0x6A26264C), + uint32(0x5A36366C), uint32(0x413F3F7E), uint32(0x02F7F7F5), uint32(0x4FCCCC83), + uint32(0x5C343468), uint32(0xF4A5A551), uint32(0x34E5E5D1), uint32(0x08F1F1F9), + uint32(0x937171E2), uint32(0x73D8D8AB), uint32(0x53313162), uint32(0x3F15152A), + uint32(0x0C040408), uint32(0x52C7C795), uint32(0x65232346), uint32(0x5EC3C39D), + uint32(0x28181830), uint32(0xA1969637), uint32(0x0F05050A), uint32(0xB59A9A2F), + uint32(0x0907070E), uint32(0x36121224), uint32(0x9B80801B), uint32(0x3DE2E2DF), + uint32(0x26EBEBCD), uint32(0x6927274E), uint32(0xCDB2B27F), uint32(0x9F7575EA), + uint32(0x1B090912), uint32(0x9E83831D), uint32(0x742C2C58), uint32(0x2E1A1A34), + uint32(0x2D1B1B36), uint32(0xB26E6EDC), uint32(0xEE5A5AB4), uint32(0xFBA0A05B), + uint32(0xF65252A4), uint32(0x4D3B3B76), uint32(0x61D6D6B7), uint32(0xCEB3B37D), + uint32(0x7B292952), uint32(0x3EE3E3DD), uint32(0x712F2F5E), uint32(0x97848413), + uint32(0xF55353A6), uint32(0x68D1D1B9), uint32(0x00000000), uint32(0x2CEDEDC1), + uint32(0x60202040), uint32(0x1FFCFCE3), uint32(0xC8B1B179), uint32(0xED5B5BB6), + uint32(0xBE6A6AD4), uint32(0x46CBCB8D), uint32(0xD9BEBE67), uint32(0x4B393972), + uint32(0xDE4A4A94), uint32(0xD44C4C98), uint32(0xE85858B0), uint32(0x4ACFCF85), + uint32(0x6BD0D0BB), uint32(0x2AEFEFC5), uint32(0xE5AAAA4F), uint32(0x16FBFBED), + uint32(0xC5434386), uint32(0xD74D4D9A), uint32(0x55333366), uint32(0x94858511), + uint32(0xCF45458A), uint32(0x10F9F9E9), uint32(0x06020204), uint32(0x817F7FFE), + uint32(0xF05050A0), uint32(0x443C3C78), uint32(0xBA9F9F25), uint32(0xE3A8A84B), + uint32(0xF35151A2), uint32(0xFEA3A35D), uint32(0xC0404080), uint32(0x8A8F8F05), + uint32(0xAD92923F), uint32(0xBC9D9D21), uint32(0x48383870), uint32(0x04F5F5F1), + uint32(0xDFBCBC63), uint32(0xC1B6B677), uint32(0x75DADAAF), uint32(0x63212142), + uint32(0x30101020), uint32(0x1AFFFFE5), uint32(0x0EF3F3FD), uint32(0x6DD2D2BF), + uint32(0x4CCDCD81), uint32(0x140C0C18), uint32(0x35131326), uint32(0x2FECECC3), + uint32(0xE15F5FBE), uint32(0xA2979735), uint32(0xCC444488), uint32(0x3917172E), + uint32(0x57C4C493), uint32(0xF2A7A755), uint32(0x827E7EFC), uint32(0x473D3D7A), + uint32(0xAC6464C8), uint32(0xE75D5DBA), uint32(0x2B191932), uint32(0x957373E6), + uint32(0xA06060C0), uint32(0x98818119), uint32(0xD14F4F9E), uint32(0x7FDCDCA3), + uint32(0x66222244), uint32(0x7E2A2A54), uint32(0xAB90903B), uint32(0x8388880B), + uint32(0xCA46468C), uint32(0x29EEEEC7), uint32(0xD3B8B86B), uint32(0x3C141428), + uint32(0x79DEDEA7), uint32(0xE25E5EBC), uint32(0x1D0B0B16), uint32(0x76DBDBAD), + uint32(0x3BE0E0DB), uint32(0x56323264), uint32(0x4E3A3A74), uint32(0x1E0A0A14), + uint32(0xDB494992), uint32(0x0A06060C), uint32(0x6C242448), uint32(0xE45C5CB8), + uint32(0x5DC2C29F), uint32(0x6ED3D3BD), uint32(0xEFACAC43), uint32(0xA66262C4), + uint32(0xA8919139), uint32(0xA4959531), uint32(0x37E4E4D3), uint32(0x8B7979F2), + uint32(0x32E7E7D5), uint32(0x43C8C88B), uint32(0x5937376E), uint32(0xB76D6DDA), + uint32(0x8C8D8D01), uint32(0x64D5D5B1), uint32(0xD24E4E9C), uint32(0xE0A9A949), + uint32(0xB46C6CD8), uint32(0xFA5656AC), uint32(0x07F4F4F3), uint32(0x25EAEACF), + uint32(0xAF6565CA), uint32(0x8E7A7AF4), uint32(0xE9AEAE47), uint32(0x18080810), + uint32(0xD5BABA6F), uint32(0x887878F0), uint32(0x6F25254A), uint32(0x722E2E5C), + uint32(0x241C1C38), uint32(0xF1A6A657), uint32(0xC7B4B473), uint32(0x51C6C697), + uint32(0x23E8E8CB), uint32(0x7CDDDDA1), uint32(0x9C7474E8), uint32(0x211F1F3E), + uint32(0xDD4B4B96), uint32(0xDCBDBD61), uint32(0x868B8B0D), uint32(0x858A8A0F), + uint32(0x907070E0), uint32(0x423E3E7C), uint32(0xC4B5B571), uint32(0xAA6666CC), + uint32(0xD8484890), uint32(0x05030306), uint32(0x01F6F6F7), uint32(0x120E0E1C), + uint32(0xA36161C2), uint32(0x5F35356A), uint32(0xF95757AE), uint32(0xD0B9B969), + uint32(0x91868617), uint32(0x58C1C199), uint32(0x271D1D3A), uint32(0xB99E9E27), + uint32(0x38E1E1D9), uint32(0x13F8F8EB), uint32(0xB398982B), uint32(0x33111122), + uint32(0xBB6969D2), uint32(0x70D9D9A9), uint32(0x898E8E07), uint32(0xA7949433), + uint32(0xB69B9B2D), uint32(0x221E1E3C), uint32(0x92878715), uint32(0x20E9E9C9), + uint32(0x49CECE87), uint32(0xFF5555AA), uint32(0x78282850), uint32(0x7ADFDFA5), + uint32(0x8F8C8C03), uint32(0xF8A1A159), uint32(0x80898909), uint32(0x170D0D1A), + uint32(0xDABFBF65), uint32(0x31E6E6D7), uint32(0xC6424284), uint32(0xB86868D0), + uint32(0xC3414182), uint32(0xB0999929), uint32(0x772D2D5A), uint32(0x110F0F1E), + uint32(0xCBB0B07B), uint32(0xFC5454A8), uint32(0xD6BBBB6D), uint32(0x3A16162C), +} + +var kAes1 = [256]uint32{ + uint32(0x6363C6A5), uint32(0x7C7CF884), uint32(0x7777EE99), uint32(0x7B7BF68D), + uint32(0xF2F2FF0D), uint32(0x6B6BD6BD), uint32(0x6F6FDEB1), uint32(0xC5C59154), + uint32(0x30306050), uint32(0x01010203), uint32(0x6767CEA9), uint32(0x2B2B567D), + uint32(0xFEFEE719), uint32(0xD7D7B562), uint32(0xABAB4DE6), uint32(0x7676EC9A), + uint32(0xCACA8F45), uint32(0x82821F9D), uint32(0xC9C98940), uint32(0x7D7DFA87), + uint32(0xFAFAEF15), uint32(0x5959B2EB), uint32(0x47478EC9), uint32(0xF0F0FB0B), + uint32(0xADAD41EC), uint32(0xD4D4B367), uint32(0xA2A25FFD), uint32(0xAFAF45EA), + uint32(0x9C9C23BF), uint32(0xA4A453F7), uint32(0x7272E496), uint32(0xC0C09B5B), + uint32(0xB7B775C2), uint32(0xFDFDE11C), uint32(0x93933DAE), uint32(0x26264C6A), + uint32(0x36366C5A), uint32(0x3F3F7E41), uint32(0xF7F7F502), uint32(0xCCCC834F), + uint32(0x3434685C), uint32(0xA5A551F4), uint32(0xE5E5D134), uint32(0xF1F1F908), + uint32(0x7171E293), uint32(0xD8D8AB73), uint32(0x31316253), uint32(0x15152A3F), + uint32(0x0404080C), uint32(0xC7C79552), uint32(0x23234665), uint32(0xC3C39D5E), + uint32(0x18183028), uint32(0x969637A1), uint32(0x05050A0F), uint32(0x9A9A2FB5), + uint32(0x07070E09), uint32(0x12122436), uint32(0x80801B9B), uint32(0xE2E2DF3D), + uint32(0xEBEBCD26), uint32(0x27274E69), uint32(0xB2B27FCD), uint32(0x7575EA9F), + uint32(0x0909121B), uint32(0x83831D9E), uint32(0x2C2C5874), uint32(0x1A1A342E), + uint32(0x1B1B362D), uint32(0x6E6EDCB2), uint32(0x5A5AB4EE), uint32(0xA0A05BFB), + uint32(0x5252A4F6), uint32(0x3B3B764D), uint32(0xD6D6B761), uint32(0xB3B37DCE), + uint32(0x2929527B), uint32(0xE3E3DD3E), uint32(0x2F2F5E71), uint32(0x84841397), + uint32(0x5353A6F5), uint32(0xD1D1B968), uint32(0x00000000), uint32(0xEDEDC12C), + uint32(0x20204060), uint32(0xFCFCE31F), uint32(0xB1B179C8), uint32(0x5B5BB6ED), + uint32(0x6A6AD4BE), uint32(0xCBCB8D46), uint32(0xBEBE67D9), uint32(0x3939724B), + uint32(0x4A4A94DE), uint32(0x4C4C98D4), uint32(0x5858B0E8), uint32(0xCFCF854A), + uint32(0xD0D0BB6B), uint32(0xEFEFC52A), uint32(0xAAAA4FE5), uint32(0xFBFBED16), + uint32(0x434386C5), uint32(0x4D4D9AD7), uint32(0x33336655), uint32(0x85851194), + uint32(0x45458ACF), uint32(0xF9F9E910), uint32(0x02020406), uint32(0x7F7FFE81), + uint32(0x5050A0F0), uint32(0x3C3C7844), uint32(0x9F9F25BA), uint32(0xA8A84BE3), + uint32(0x5151A2F3), uint32(0xA3A35DFE), uint32(0x404080C0), uint32(0x8F8F058A), + uint32(0x92923FAD), uint32(0x9D9D21BC), uint32(0x38387048), uint32(0xF5F5F104), + uint32(0xBCBC63DF), uint32(0xB6B677C1), uint32(0xDADAAF75), uint32(0x21214263), + uint32(0x10102030), uint32(0xFFFFE51A), uint32(0xF3F3FD0E), uint32(0xD2D2BF6D), + uint32(0xCDCD814C), uint32(0x0C0C1814), uint32(0x13132635), uint32(0xECECC32F), + uint32(0x5F5FBEE1), uint32(0x979735A2), uint32(0x444488CC), uint32(0x17172E39), + uint32(0xC4C49357), uint32(0xA7A755F2), uint32(0x7E7EFC82), uint32(0x3D3D7A47), + uint32(0x6464C8AC), uint32(0x5D5DBAE7), uint32(0x1919322B), uint32(0x7373E695), + uint32(0x6060C0A0), uint32(0x81811998), uint32(0x4F4F9ED1), uint32(0xDCDCA37F), + uint32(0x22224466), uint32(0x2A2A547E), uint32(0x90903BAB), uint32(0x88880B83), + uint32(0x46468CCA), uint32(0xEEEEC729), uint32(0xB8B86BD3), uint32(0x1414283C), + uint32(0xDEDEA779), uint32(0x5E5EBCE2), uint32(0x0B0B161D), uint32(0xDBDBAD76), + uint32(0xE0E0DB3B), uint32(0x32326456), uint32(0x3A3A744E), uint32(0x0A0A141E), + uint32(0x494992DB), uint32(0x06060C0A), uint32(0x2424486C), uint32(0x5C5CB8E4), + uint32(0xC2C29F5D), uint32(0xD3D3BD6E), uint32(0xACAC43EF), uint32(0x6262C4A6), + uint32(0x919139A8), uint32(0x959531A4), uint32(0xE4E4D337), uint32(0x7979F28B), + uint32(0xE7E7D532), uint32(0xC8C88B43), uint32(0x37376E59), uint32(0x6D6DDAB7), + uint32(0x8D8D018C), uint32(0xD5D5B164), uint32(0x4E4E9CD2), uint32(0xA9A949E0), + uint32(0x6C6CD8B4), uint32(0x5656ACFA), uint32(0xF4F4F307), uint32(0xEAEACF25), + uint32(0x6565CAAF), uint32(0x7A7AF48E), uint32(0xAEAE47E9), uint32(0x08081018), + uint32(0xBABA6FD5), uint32(0x7878F088), uint32(0x25254A6F), uint32(0x2E2E5C72), + uint32(0x1C1C3824), uint32(0xA6A657F1), uint32(0xB4B473C7), uint32(0xC6C69751), + uint32(0xE8E8CB23), uint32(0xDDDDA17C), uint32(0x7474E89C), uint32(0x1F1F3E21), + uint32(0x4B4B96DD), uint32(0xBDBD61DC), uint32(0x8B8B0D86), uint32(0x8A8A0F85), + uint32(0x7070E090), uint32(0x3E3E7C42), uint32(0xB5B571C4), uint32(0x6666CCAA), + uint32(0x484890D8), uint32(0x03030605), uint32(0xF6F6F701), uint32(0x0E0E1C12), + uint32(0x6161C2A3), uint32(0x35356A5F), uint32(0x5757AEF9), uint32(0xB9B969D0), + uint32(0x86861791), uint32(0xC1C19958), uint32(0x1D1D3A27), uint32(0x9E9E27B9), + uint32(0xE1E1D938), uint32(0xF8F8EB13), uint32(0x98982BB3), uint32(0x11112233), + uint32(0x6969D2BB), uint32(0xD9D9A970), uint32(0x8E8E0789), uint32(0x949433A7), + uint32(0x9B9B2DB6), uint32(0x1E1E3C22), uint32(0x87871592), uint32(0xE9E9C920), + uint32(0xCECE8749), uint32(0x5555AAFF), uint32(0x28285078), uint32(0xDFDFA57A), + uint32(0x8C8C038F), uint32(0xA1A159F8), uint32(0x89890980), uint32(0x0D0D1A17), + uint32(0xBFBF65DA), uint32(0xE6E6D731), uint32(0x424284C6), uint32(0x6868D0B8), + uint32(0x414182C3), uint32(0x999929B0), uint32(0x2D2D5A77), uint32(0x0F0F1E11), + uint32(0xB0B07BCB), uint32(0x5454A8FC), uint32(0xBBBB6DD6), uint32(0x16162C3A), +} + +var kAes2 = [256]uint32{ + uint32(0x63C6A563), uint32(0x7CF8847C), uint32(0x77EE9977), uint32(0x7BF68D7B), + uint32(0xF2FF0DF2), uint32(0x6BD6BD6B), uint32(0x6FDEB16F), uint32(0xC59154C5), + uint32(0x30605030), uint32(0x01020301), uint32(0x67CEA967), uint32(0x2B567D2B), + uint32(0xFEE719FE), uint32(0xD7B562D7), uint32(0xAB4DE6AB), uint32(0x76EC9A76), + uint32(0xCA8F45CA), uint32(0x821F9D82), uint32(0xC98940C9), uint32(0x7DFA877D), + uint32(0xFAEF15FA), uint32(0x59B2EB59), uint32(0x478EC947), uint32(0xF0FB0BF0), + uint32(0xAD41ECAD), uint32(0xD4B367D4), uint32(0xA25FFDA2), uint32(0xAF45EAAF), + uint32(0x9C23BF9C), uint32(0xA453F7A4), uint32(0x72E49672), uint32(0xC09B5BC0), + uint32(0xB775C2B7), uint32(0xFDE11CFD), uint32(0x933DAE93), uint32(0x264C6A26), + uint32(0x366C5A36), uint32(0x3F7E413F), uint32(0xF7F502F7), uint32(0xCC834FCC), + uint32(0x34685C34), uint32(0xA551F4A5), uint32(0xE5D134E5), uint32(0xF1F908F1), + uint32(0x71E29371), uint32(0xD8AB73D8), uint32(0x31625331), uint32(0x152A3F15), + uint32(0x04080C04), uint32(0xC79552C7), uint32(0x23466523), uint32(0xC39D5EC3), + uint32(0x18302818), uint32(0x9637A196), uint32(0x050A0F05), uint32(0x9A2FB59A), + uint32(0x070E0907), uint32(0x12243612), uint32(0x801B9B80), uint32(0xE2DF3DE2), + uint32(0xEBCD26EB), uint32(0x274E6927), uint32(0xB27FCDB2), uint32(0x75EA9F75), + uint32(0x09121B09), uint32(0x831D9E83), uint32(0x2C58742C), uint32(0x1A342E1A), + uint32(0x1B362D1B), uint32(0x6EDCB26E), uint32(0x5AB4EE5A), uint32(0xA05BFBA0), + uint32(0x52A4F652), uint32(0x3B764D3B), uint32(0xD6B761D6), uint32(0xB37DCEB3), + uint32(0x29527B29), uint32(0xE3DD3EE3), uint32(0x2F5E712F), uint32(0x84139784), + uint32(0x53A6F553), uint32(0xD1B968D1), uint32(0x00000000), uint32(0xEDC12CED), + uint32(0x20406020), uint32(0xFCE31FFC), uint32(0xB179C8B1), uint32(0x5BB6ED5B), + uint32(0x6AD4BE6A), uint32(0xCB8D46CB), uint32(0xBE67D9BE), uint32(0x39724B39), + uint32(0x4A94DE4A), uint32(0x4C98D44C), uint32(0x58B0E858), uint32(0xCF854ACF), + uint32(0xD0BB6BD0), uint32(0xEFC52AEF), uint32(0xAA4FE5AA), uint32(0xFBED16FB), + uint32(0x4386C543), uint32(0x4D9AD74D), uint32(0x33665533), uint32(0x85119485), + uint32(0x458ACF45), uint32(0xF9E910F9), uint32(0x02040602), uint32(0x7FFE817F), + uint32(0x50A0F050), uint32(0x3C78443C), uint32(0x9F25BA9F), uint32(0xA84BE3A8), + uint32(0x51A2F351), uint32(0xA35DFEA3), uint32(0x4080C040), uint32(0x8F058A8F), + uint32(0x923FAD92), uint32(0x9D21BC9D), uint32(0x38704838), uint32(0xF5F104F5), + uint32(0xBC63DFBC), uint32(0xB677C1B6), uint32(0xDAAF75DA), uint32(0x21426321), + uint32(0x10203010), uint32(0xFFE51AFF), uint32(0xF3FD0EF3), uint32(0xD2BF6DD2), + uint32(0xCD814CCD), uint32(0x0C18140C), uint32(0x13263513), uint32(0xECC32FEC), + uint32(0x5FBEE15F), uint32(0x9735A297), uint32(0x4488CC44), uint32(0x172E3917), + uint32(0xC49357C4), uint32(0xA755F2A7), uint32(0x7EFC827E), uint32(0x3D7A473D), + uint32(0x64C8AC64), uint32(0x5DBAE75D), uint32(0x19322B19), uint32(0x73E69573), + uint32(0x60C0A060), uint32(0x81199881), uint32(0x4F9ED14F), uint32(0xDCA37FDC), + uint32(0x22446622), uint32(0x2A547E2A), uint32(0x903BAB90), uint32(0x880B8388), + uint32(0x468CCA46), uint32(0xEEC729EE), uint32(0xB86BD3B8), uint32(0x14283C14), + uint32(0xDEA779DE), uint32(0x5EBCE25E), uint32(0x0B161D0B), uint32(0xDBAD76DB), + uint32(0xE0DB3BE0), uint32(0x32645632), uint32(0x3A744E3A), uint32(0x0A141E0A), + uint32(0x4992DB49), uint32(0x060C0A06), uint32(0x24486C24), uint32(0x5CB8E45C), + uint32(0xC29F5DC2), uint32(0xD3BD6ED3), uint32(0xAC43EFAC), uint32(0x62C4A662), + uint32(0x9139A891), uint32(0x9531A495), uint32(0xE4D337E4), uint32(0x79F28B79), + uint32(0xE7D532E7), uint32(0xC88B43C8), uint32(0x376E5937), uint32(0x6DDAB76D), + uint32(0x8D018C8D), uint32(0xD5B164D5), uint32(0x4E9CD24E), uint32(0xA949E0A9), + uint32(0x6CD8B46C), uint32(0x56ACFA56), uint32(0xF4F307F4), uint32(0xEACF25EA), + uint32(0x65CAAF65), uint32(0x7AF48E7A), uint32(0xAE47E9AE), uint32(0x08101808), + uint32(0xBA6FD5BA), uint32(0x78F08878), uint32(0x254A6F25), uint32(0x2E5C722E), + uint32(0x1C38241C), uint32(0xA657F1A6), uint32(0xB473C7B4), uint32(0xC69751C6), + uint32(0xE8CB23E8), uint32(0xDDA17CDD), uint32(0x74E89C74), uint32(0x1F3E211F), + uint32(0x4B96DD4B), uint32(0xBD61DCBD), uint32(0x8B0D868B), uint32(0x8A0F858A), + uint32(0x70E09070), uint32(0x3E7C423E), uint32(0xB571C4B5), uint32(0x66CCAA66), + uint32(0x4890D848), uint32(0x03060503), uint32(0xF6F701F6), uint32(0x0E1C120E), + uint32(0x61C2A361), uint32(0x356A5F35), uint32(0x57AEF957), uint32(0xB969D0B9), + uint32(0x86179186), uint32(0xC19958C1), uint32(0x1D3A271D), uint32(0x9E27B99E), + uint32(0xE1D938E1), uint32(0xF8EB13F8), uint32(0x982BB398), uint32(0x11223311), + uint32(0x69D2BB69), uint32(0xD9A970D9), uint32(0x8E07898E), uint32(0x9433A794), + uint32(0x9B2DB69B), uint32(0x1E3C221E), uint32(0x87159287), uint32(0xE9C920E9), + uint32(0xCE8749CE), uint32(0x55AAFF55), uint32(0x28507828), uint32(0xDFA57ADF), + uint32(0x8C038F8C), uint32(0xA159F8A1), uint32(0x89098089), uint32(0x0D1A170D), + uint32(0xBF65DABF), uint32(0xE6D731E6), uint32(0x4284C642), uint32(0x68D0B868), + uint32(0x4182C341), uint32(0x9929B099), uint32(0x2D5A772D), uint32(0x0F1E110F), + uint32(0xB07BCBB0), uint32(0x54A8FC54), uint32(0xBB6DD6BB), uint32(0x162C3A16), +} + +var kAes3 = [256]uint32{ + uint32(0xC6A56363), uint32(0xF8847C7C), uint32(0xEE997777), uint32(0xF68D7B7B), + uint32(0xFF0DF2F2), uint32(0xD6BD6B6B), uint32(0xDEB16F6F), uint32(0x9154C5C5), + uint32(0x60503030), uint32(0x02030101), uint32(0xCEA96767), uint32(0x567D2B2B), + uint32(0xE719FEFE), uint32(0xB562D7D7), uint32(0x4DE6ABAB), uint32(0xEC9A7676), + uint32(0x8F45CACA), uint32(0x1F9D8282), uint32(0x8940C9C9), uint32(0xFA877D7D), + uint32(0xEF15FAFA), uint32(0xB2EB5959), uint32(0x8EC94747), uint32(0xFB0BF0F0), + uint32(0x41ECADAD), uint32(0xB367D4D4), uint32(0x5FFDA2A2), uint32(0x45EAAFAF), + uint32(0x23BF9C9C), uint32(0x53F7A4A4), uint32(0xE4967272), uint32(0x9B5BC0C0), + uint32(0x75C2B7B7), uint32(0xE11CFDFD), uint32(0x3DAE9393), uint32(0x4C6A2626), + uint32(0x6C5A3636), uint32(0x7E413F3F), uint32(0xF502F7F7), uint32(0x834FCCCC), + uint32(0x685C3434), uint32(0x51F4A5A5), uint32(0xD134E5E5), uint32(0xF908F1F1), + uint32(0xE2937171), uint32(0xAB73D8D8), uint32(0x62533131), uint32(0x2A3F1515), + uint32(0x080C0404), uint32(0x9552C7C7), uint32(0x46652323), uint32(0x9D5EC3C3), + uint32(0x30281818), uint32(0x37A19696), uint32(0x0A0F0505), uint32(0x2FB59A9A), + uint32(0x0E090707), uint32(0x24361212), uint32(0x1B9B8080), uint32(0xDF3DE2E2), + uint32(0xCD26EBEB), uint32(0x4E692727), uint32(0x7FCDB2B2), uint32(0xEA9F7575), + uint32(0x121B0909), uint32(0x1D9E8383), uint32(0x58742C2C), uint32(0x342E1A1A), + uint32(0x362D1B1B), uint32(0xDCB26E6E), uint32(0xB4EE5A5A), uint32(0x5BFBA0A0), + uint32(0xA4F65252), uint32(0x764D3B3B), uint32(0xB761D6D6), uint32(0x7DCEB3B3), + uint32(0x527B2929), uint32(0xDD3EE3E3), uint32(0x5E712F2F), uint32(0x13978484), + uint32(0xA6F55353), uint32(0xB968D1D1), uint32(0x00000000), uint32(0xC12CEDED), + uint32(0x40602020), uint32(0xE31FFCFC), uint32(0x79C8B1B1), uint32(0xB6ED5B5B), + uint32(0xD4BE6A6A), uint32(0x8D46CBCB), uint32(0x67D9BEBE), uint32(0x724B3939), + uint32(0x94DE4A4A), uint32(0x98D44C4C), uint32(0xB0E85858), uint32(0x854ACFCF), + uint32(0xBB6BD0D0), uint32(0xC52AEFEF), uint32(0x4FE5AAAA), uint32(0xED16FBFB), + uint32(0x86C54343), uint32(0x9AD74D4D), uint32(0x66553333), uint32(0x11948585), + uint32(0x8ACF4545), uint32(0xE910F9F9), uint32(0x04060202), uint32(0xFE817F7F), + uint32(0xA0F05050), uint32(0x78443C3C), uint32(0x25BA9F9F), uint32(0x4BE3A8A8), + uint32(0xA2F35151), uint32(0x5DFEA3A3), uint32(0x80C04040), uint32(0x058A8F8F), + uint32(0x3FAD9292), uint32(0x21BC9D9D), uint32(0x70483838), uint32(0xF104F5F5), + uint32(0x63DFBCBC), uint32(0x77C1B6B6), uint32(0xAF75DADA), uint32(0x42632121), + uint32(0x20301010), uint32(0xE51AFFFF), uint32(0xFD0EF3F3), uint32(0xBF6DD2D2), + uint32(0x814CCDCD), uint32(0x18140C0C), uint32(0x26351313), uint32(0xC32FECEC), + uint32(0xBEE15F5F), uint32(0x35A29797), uint32(0x88CC4444), uint32(0x2E391717), + uint32(0x9357C4C4), uint32(0x55F2A7A7), uint32(0xFC827E7E), uint32(0x7A473D3D), + uint32(0xC8AC6464), uint32(0xBAE75D5D), uint32(0x322B1919), uint32(0xE6957373), + uint32(0xC0A06060), uint32(0x19988181), uint32(0x9ED14F4F), uint32(0xA37FDCDC), + uint32(0x44662222), uint32(0x547E2A2A), uint32(0x3BAB9090), uint32(0x0B838888), + uint32(0x8CCA4646), uint32(0xC729EEEE), uint32(0x6BD3B8B8), uint32(0x283C1414), + uint32(0xA779DEDE), uint32(0xBCE25E5E), uint32(0x161D0B0B), uint32(0xAD76DBDB), + uint32(0xDB3BE0E0), uint32(0x64563232), uint32(0x744E3A3A), uint32(0x141E0A0A), + uint32(0x92DB4949), uint32(0x0C0A0606), uint32(0x486C2424), uint32(0xB8E45C5C), + uint32(0x9F5DC2C2), uint32(0xBD6ED3D3), uint32(0x43EFACAC), uint32(0xC4A66262), + uint32(0x39A89191), uint32(0x31A49595), uint32(0xD337E4E4), uint32(0xF28B7979), + uint32(0xD532E7E7), uint32(0x8B43C8C8), uint32(0x6E593737), uint32(0xDAB76D6D), + uint32(0x018C8D8D), uint32(0xB164D5D5), uint32(0x9CD24E4E), uint32(0x49E0A9A9), + uint32(0xD8B46C6C), uint32(0xACFA5656), uint32(0xF307F4F4), uint32(0xCF25EAEA), + uint32(0xCAAF6565), uint32(0xF48E7A7A), uint32(0x47E9AEAE), uint32(0x10180808), + uint32(0x6FD5BABA), uint32(0xF0887878), uint32(0x4A6F2525), uint32(0x5C722E2E), + uint32(0x38241C1C), uint32(0x57F1A6A6), uint32(0x73C7B4B4), uint32(0x9751C6C6), + uint32(0xCB23E8E8), uint32(0xA17CDDDD), uint32(0xE89C7474), uint32(0x3E211F1F), + uint32(0x96DD4B4B), uint32(0x61DCBDBD), uint32(0x0D868B8B), uint32(0x0F858A8A), + uint32(0xE0907070), uint32(0x7C423E3E), uint32(0x71C4B5B5), uint32(0xCCAA6666), + uint32(0x90D84848), uint32(0x06050303), uint32(0xF701F6F6), uint32(0x1C120E0E), + uint32(0xC2A36161), uint32(0x6A5F3535), uint32(0xAEF95757), uint32(0x69D0B9B9), + uint32(0x17918686), uint32(0x9958C1C1), uint32(0x3A271D1D), uint32(0x27B99E9E), + uint32(0xD938E1E1), uint32(0xEB13F8F8), uint32(0x2BB39898), uint32(0x22331111), + uint32(0xD2BB6969), uint32(0xA970D9D9), uint32(0x07898E8E), uint32(0x33A79494), + uint32(0x2DB69B9B), uint32(0x3C221E1E), uint32(0x15928787), uint32(0xC920E9E9), + uint32(0x8749CECE), uint32(0xAAFF5555), uint32(0x50782828), uint32(0xA57ADFDF), + uint32(0x038F8C8C), uint32(0x59F8A1A1), uint32(0x09808989), uint32(0x1A170D0D), + uint32(0x65DABFBF), uint32(0xD731E6E6), uint32(0x84C64242), uint32(0xD0B86868), + uint32(0x82C34141), uint32(0x29B09999), uint32(0x5A772D2D), uint32(0x1E110F0F), + uint32(0x7BCBB0B0), uint32(0xA8FC5454), uint32(0x6DD6BBBB), uint32(0x2C3A1616), +} diff --git a/crypto/x16rv3/aesr/aesr_test.go b/crypto/x16rv3/aesr/aesr_test.go new file mode 100644 index 0000000..5ee9405 --- /dev/null +++ b/crypto/x16rv3/aesr/aesr_test.go @@ -0,0 +1,8 @@ +package aesr + +import "testing" + +func TestApi(t *testing.T) { + // Note: Requires a basic test ? + // Just empty to easy ci integration. +} diff --git a/crypto/x16rv3/blake/blake.go b/crypto/x16rv3/blake/blake.go new file mode 100644 index 0000000..5560a96 --- /dev/null +++ b/crypto/x16rv3/blake/blake.go @@ -0,0 +1,341 @@ +package blake + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(128) + +type digest struct { + ptr uintptr + + h [8]uint64 + t [2]uint64 + + b [BlockSize]byte +} + +// New returns a new digest compute a BLAKE512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + copy(ref.h[:], kInit[:]) + ref.t[0], ref.t[1] = 0, 0 +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + if sln < (BlockSize - ptr) { + copy(ref.b[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + h := ref.h[:] + t := ref.t[:] + + t[0] = t[0] + 1024 + if t[0] < 1024 { + t[1] += 1 + } + ptr = 0 + + var vec [16]uint64 + vec[0x0] = h[0] + vec[0x1] = h[1] + vec[0x2] = h[2] + vec[0x3] = h[3] + vec[0x4] = h[4] + vec[0x5] = h[5] + vec[0x6] = h[6] + vec[0x7] = h[7] + vec[0x8] = kSpec[0] + vec[0x9] = kSpec[1] + vec[0xA] = kSpec[2] + vec[0xB] = kSpec[3] + vec[0xC] = t[0] ^ kSpec[4] + vec[0xD] = t[0] ^ kSpec[5] + vec[0xE] = t[1] ^ kSpec[6] + vec[0xF] = t[1] ^ kSpec[7] + + var mat [16]uint64 + mat[0x0] = decUInt64be(ref.b[0:]) + mat[0x1] = decUInt64be(ref.b[8:]) + mat[0x2] = decUInt64be(ref.b[16:]) + mat[0x3] = decUInt64be(ref.b[24:]) + mat[0x4] = decUInt64be(ref.b[32:]) + mat[0x5] = decUInt64be(ref.b[40:]) + mat[0x6] = decUInt64be(ref.b[48:]) + mat[0x7] = decUInt64be(ref.b[56:]) + mat[0x8] = decUInt64be(ref.b[64:]) + mat[0x9] = decUInt64be(ref.b[72:]) + mat[0xA] = decUInt64be(ref.b[80:]) + mat[0xB] = decUInt64be(ref.b[88:]) + mat[0xC] = decUInt64be(ref.b[96:]) + mat[0xD] = decUInt64be(ref.b[104:]) + mat[0xE] = decUInt64be(ref.b[112:]) + mat[0xF] = decUInt64be(ref.b[120:]) + + var sig []uint8 + for r := uint8(0); r < 16; r++ { + sig = kSigma[r][:] + + vec[0x0] = (vec[0x0] + vec[0x4] + (mat[sig[0x0]] ^ kSpec[sig[0x1]])) + vec[0xC] = (((vec[0xC] ^ vec[0x0]) << (32)) | ((vec[0xC] ^ vec[0x0]) >> 32)) + vec[0x8] = (vec[0x8] + vec[0xC]) + vec[0x4] = (((vec[0x4] ^ vec[0x8]) << (39)) | ((vec[0x4] ^ vec[0x8]) >> 25)) + vec[0x0] = (vec[0x0] + vec[0x4] + (mat[sig[0x1]] ^ kSpec[sig[0x0]])) + vec[0xC] = (((vec[0xC] ^ vec[0x0]) << (48)) | ((vec[0xC] ^ vec[0x0]) >> 16)) + vec[0x8] = (vec[0x8] + vec[0xC]) + vec[0x4] = (((vec[0x4] ^ vec[0x8]) << (53)) | ((vec[0x4] ^ vec[0x8]) >> 11)) + + vec[0x1] = (vec[0x1] + vec[0x5] + (mat[sig[0x2]] ^ kSpec[sig[0x3]])) + vec[0xD] = (((vec[0xD] ^ vec[0x1]) << (32)) | ((vec[0xD] ^ vec[0x1]) >> 32)) + vec[0x9] = (vec[0x9] + vec[0xD]) + vec[0x5] = (((vec[0x5] ^ vec[0x9]) << (39)) | ((vec[0x5] ^ vec[0x9]) >> 25)) + vec[0x1] = (vec[0x1] + vec[0x5] + (mat[sig[0x3]] ^ kSpec[sig[0x2]])) + vec[0xD] = (((vec[0xD] ^ vec[0x1]) << (48)) | ((vec[0xD] ^ vec[0x1]) >> 16)) + vec[0x9] = (vec[0x9] + vec[0xD]) + vec[0x5] = (((vec[0x5] ^ vec[0x9]) << (53)) | ((vec[0x5] ^ vec[0x9]) >> 11)) + + vec[0x2] = (vec[0x2] + vec[0x6] + (mat[sig[0x4]] ^ kSpec[sig[0x5]])) + vec[0xE] = (((vec[0xE] ^ vec[0x2]) << (32)) | ((vec[0xE] ^ vec[0x2]) >> 32)) + vec[0xA] = (vec[0xA] + vec[0xE]) + vec[0x6] = (((vec[0x6] ^ vec[0xA]) << (39)) | ((vec[0x6] ^ vec[0xA]) >> 25)) + vec[0x2] = (vec[0x2] + vec[0x6] + (mat[sig[0x5]] ^ kSpec[sig[0x4]])) + vec[0xE] = (((vec[0xE] ^ vec[0x2]) << (48)) | ((vec[0xE] ^ vec[0x2]) >> 16)) + vec[0xA] = (vec[0xA] + vec[0xE]) + vec[0x6] = (((vec[0x6] ^ vec[0xA]) << (53)) | ((vec[0x6] ^ vec[0xA]) >> 11)) + + vec[0x3] = (vec[0x3] + vec[0x7] + (mat[sig[0x6]] ^ kSpec[sig[0x7]])) + vec[0xF] = (((vec[0xF] ^ vec[0x3]) << (32)) | ((vec[0xF] ^ vec[0x3]) >> 32)) + vec[0xB] = (vec[0xB] + vec[0xF]) + vec[0x7] = (((vec[0x7] ^ vec[0xB]) << (39)) | ((vec[0x7] ^ vec[0xB]) >> 25)) + vec[0x3] = (vec[0x3] + vec[0x7] + (mat[sig[0x7]] ^ kSpec[sig[0x6]])) + vec[0xF] = (((vec[0xF] ^ vec[0x3]) << (48)) | ((vec[0xF] ^ vec[0x3]) >> 16)) + vec[0xB] = (vec[0xB] + vec[0xF]) + vec[0x7] = (((vec[0x7] ^ vec[0xB]) << (53)) | ((vec[0x7] ^ vec[0xB]) >> 11)) + + vec[0x0] = (vec[0x0] + vec[0x5] + (mat[sig[0x8]] ^ kSpec[sig[0x9]])) + vec[0xF] = (((vec[0xF] ^ vec[0x0]) << (32)) | ((vec[0xF] ^ vec[0x0]) >> 32)) + vec[0xA] = (vec[0xA] + vec[0xF]) + vec[0x5] = (((vec[0x5] ^ vec[0xA]) << (39)) | ((vec[0x5] ^ vec[0xA]) >> 25)) + vec[0x0] = (vec[0x0] + vec[0x5] + (mat[sig[0x9]] ^ kSpec[sig[0x8]])) + vec[0xF] = (((vec[0xF] ^ vec[0x0]) << (48)) | ((vec[0xF] ^ vec[0x0]) >> 16)) + vec[0xA] = (vec[0xA] + vec[0xF]) + vec[0x5] = (((vec[0x5] ^ vec[0xA]) << (53)) | ((vec[0x5] ^ vec[0xA]) >> 11)) + + vec[0x1] = (vec[0x1] + vec[0x6] + (mat[sig[0xA]] ^ kSpec[sig[0xB]])) + vec[0xC] = (((vec[0xC] ^ vec[0x1]) << (32)) | ((vec[0xC] ^ vec[0x1]) >> 32)) + vec[0xB] = (vec[0xB] + vec[0xC]) + vec[0x6] = (((vec[0x6] ^ vec[0xB]) << (39)) | ((vec[0x6] ^ vec[0xB]) >> 25)) + vec[0x1] = (vec[0x1] + vec[0x6] + (mat[sig[0xB]] ^ kSpec[sig[0xA]])) + vec[0xC] = (((vec[0xC] ^ vec[0x1]) << (48)) | ((vec[0xC] ^ vec[0x1]) >> 16)) + vec[0xB] = (vec[0xB] + vec[0xC]) + vec[0x6] = (((vec[0x6] ^ vec[0xB]) << (53)) | ((vec[0x6] ^ vec[0xB]) >> 11)) + + vec[0x2] = (vec[0x2] + vec[0x7] + (mat[sig[0xC]] ^ kSpec[sig[0xD]])) + vec[0xD] = (((vec[0xD] ^ vec[0x2]) << (32)) | ((vec[0xD] ^ vec[0x2]) >> 32)) + vec[0x8] = (vec[0x8] + vec[0xD]) + vec[0x7] = (((vec[0x7] ^ vec[0x8]) << (39)) | ((vec[0x7] ^ vec[0x8]) >> 25)) + vec[0x2] = (vec[0x2] + vec[0x7] + (mat[sig[0xD]] ^ kSpec[sig[0xC]])) + vec[0xD] = (((vec[0xD] ^ vec[0x2]) << (48)) | ((vec[0xD] ^ vec[0x2]) >> 16)) + vec[0x8] = (vec[0x8] + vec[0xD]) + vec[0x7] = (((vec[0x7] ^ vec[0x8]) << (53)) | ((vec[0x7] ^ vec[0x8]) >> 11)) + + vec[0x3] = (vec[0x3] + vec[0x4] + (mat[sig[0xE]] ^ kSpec[sig[0xF]])) + vec[0xE] = (((vec[0xE] ^ vec[0x3]) << (32)) | ((vec[0xE] ^ vec[0x3]) >> 32)) + vec[0x9] = (vec[0x9] + vec[0xE]) + vec[0x4] = (((vec[0x4] ^ vec[0x9]) << (39)) | ((vec[0x4] ^ vec[0x9]) >> 25)) + vec[0x3] = (vec[0x3] + vec[0x4] + (mat[sig[0xF]] ^ kSpec[sig[0xE]])) + vec[0xE] = (((vec[0xE] ^ vec[0x3]) << (48)) | ((vec[0xE] ^ vec[0x3]) >> 16)) + vec[0x9] = (vec[0x9] + vec[0xE]) + vec[0x4] = (((vec[0x4] ^ vec[0x9]) << (53)) | ((vec[0x4] ^ vec[0x9]) >> 11)) + } + + h[0] ^= vec[0x0] ^ vec[0x8] + h[1] ^= vec[0x1] ^ vec[0x9] + h[2] ^= vec[0x2] ^ vec[0xA] + h[3] ^= vec[0x3] ^ vec[0xB] + h[4] ^= vec[0x4] ^ vec[0xC] + h[5] ^= vec[0x5] ^ vec[0xD] + h[6] ^= vec[0x6] ^ vec[0xE] + h[7] ^= vec[0x7] ^ vec[0xF] + } + } + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Blake Close: dst min length: %d, got %d", HashSize, ln) + } + + ptr := ref.ptr + bln := uint64((ref.ptr << 3) + uintptr(bcnt)) + + tpl := ref.t[0] + bln + tph := ref.t[1] + + var buf [BlockSize]uint8 + + { + off := uint8(0x80) >> bcnt + buf[ptr] = uint8((bits & -off) | off) + } + + if ptr == 0 && bcnt == 0 { + ref.t[0] = uint64(0xFFFFFFFFFFFFFC00) + ref.t[1] = uint64(0xFFFFFFFFFFFFFFFF) + } else if ref.t[0] == 0 { + ref.t[0] = uint64(0xFFFFFFFFFFFFFC00) + bln + ref.t[1] = uint64(ref.t[1] - 1) + } else { + ref.t[0] -= 1024 - bln + } + + if bln <= 894 { + buf[111] |= 1 + + encUInt64be(buf[112:], tph) + encUInt64be(buf[120:], tpl) + ref.Write(buf[ptr:]) + } else { + ref.Write(buf[ptr:]) + + ref.t[0] = uint64(0xFFFFFFFFFFFFFC00) + ref.t[1] = uint64(0xFFFFFFFFFFFFFFFF) + + memset(buf[:112], 0) + buf[111] = 1 + + encUInt64be(buf[112:], tph) + encUInt64be(buf[120:], tpl) + ref.Write(buf[:]) + } + + for k := uintptr(0); k < 8; k++ { + encUInt64be(dst[(k<<3):], ref.h[k]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes Sum will return. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func decUInt64be(src []byte) uint64 { + return (uint64(src[0])<<56 | + uint64(src[1])<<48 | + uint64(src[2])<<40 | + uint64(src[3])<<32 | + uint64(src[4])<<24 | + uint64(src[5])<<16 | + uint64(src[6])<<8 | + uint64(src[7])) +} + +func encUInt64be(dst []byte, src uint64) { + dst[0] = uint8(src >> 56) + dst[1] = uint8(src >> 48) + dst[2] = uint8(src >> 40) + dst[3] = uint8(src >> 32) + dst[4] = uint8(src >> 24) + dst[5] = uint8(src >> 16) + dst[6] = uint8(src >> 8) + dst[7] = uint8(src) +} + +var kInit = [8]uint64{ + uint64(0x6A09E667F3BCC908), uint64(0xBB67AE8584CAA73B), + uint64(0x3C6EF372FE94F82B), uint64(0xA54FF53A5F1D36F1), + uint64(0x510E527FADE682D1), uint64(0x9B05688C2B3E6C1F), + uint64(0x1F83D9ABFB41BD6B), uint64(0x5BE0CD19137E2179), +} + +var kSpec = [16]uint64{ + uint64(0x243F6A8885A308D3), uint64(0x13198A2E03707344), + uint64(0xA4093822299F31D0), uint64(0x082EFA98EC4E6C89), + uint64(0x452821E638D01377), uint64(0xBE5466CF34E90C6C), + uint64(0xC0AC29B7C97C50DD), uint64(0x3F84D5B5B5470917), + uint64(0x9216D5D98979FB1B), uint64(0xD1310BA698DFB5AC), + uint64(0x2FFD72DBD01ADFB7), uint64(0xB8E1AFED6A267E96), + uint64(0xBA7C9045F12C7F99), uint64(0x24A19947B3916CF7), + uint64(0x0801F2E2858EFC16), uint64(0x636920D871574E69), +} + +var kSigma = [16][16]uint8{ + {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}, + {14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3}, + {11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4}, + {7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8}, + {9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13}, + {2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9}, + {12, 5, 1, 15, 14, 13, 4, 10, 0, 7, 6, 3, 9, 2, 8, 11}, + {13, 11, 7, 14, 12, 1, 3, 9, 5, 0, 15, 4, 8, 6, 2, 10}, + {6, 15, 14, 9, 11, 3, 0, 8, 12, 2, 13, 7, 1, 4, 10, 5}, + {10, 2, 8, 4, 7, 6, 1, 5, 15, 11, 9, 14, 3, 12, 13, 0}, + {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}, + {14, 10, 4, 8, 9, 15, 13, 6, 1, 12, 0, 2, 11, 7, 5, 3}, + {11, 8, 12, 0, 5, 2, 15, 13, 10, 14, 3, 6, 7, 1, 9, 4}, + {7, 9, 3, 1, 13, 12, 11, 14, 2, 6, 5, 10, 4, 0, 15, 8}, + {9, 0, 5, 7, 2, 4, 10, 15, 14, 1, 11, 12, 6, 8, 3, 13}, + {2, 12, 6, 10, 0, 11, 8, 3, 4, 13, 7, 5, 15, 14, 1, 9}, +} diff --git a/crypto/x16rv3/blake/blake_test.go b/crypto/x16rv3/blake/blake_test.go new file mode 100644 index 0000000..bb42850 --- /dev/null +++ b/crypto/x16rv3/blake/blake_test.go @@ -0,0 +1,2161 @@ +package blake + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{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} diff --git a/crypto/x16rv3/bmw/bmw.go b/crypto/x16rv3/bmw/bmw.go new file mode 100644 index 0000000..59ce4ea --- /dev/null +++ b/crypto/x16rv3/bmw/bmw.go @@ -0,0 +1,389 @@ +package bmw + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = uintptr(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(128) + +type digest struct { + ptr uintptr + cnt uint64 + + h [16]uint64 + + b [BlockSize]byte +} + +// New returns a new digest compute a BMW512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + ref.cnt = 0 + copy(ref.h[:], kInit[:]) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + ht := [16]uint64{} + h1 := ref.h[:] + h2 := ht[:] + + ref.cnt += uint64(sln << 3) + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + compress(ref.b[:], h1, h2) + h1, h2 = h2[:], h1[:] + ptr = 0 + } + } + + copy(ref.h[:], h1[:]) + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > uintptr(ln) { + return fmt.Errorf("Bmw Close: dst min length: %d, got %d", HashSize, ln) + } + + buf := ref.b[:] + ptr := ref.ptr + 1 + + { + off := uint8(0x80) >> bcnt + buf[ref.ptr] = uint8((bits & -off) | off) + } + + var h1, h2 [16]uint64 + if ptr > (BlockSize - 8) { + memset(buf[ptr:], 0) + compress(buf, ref.h[:], h1[:]) + ref.h = h1 + ptr = 0 + } + + memset(buf[ptr:(BlockSize-8)], 0) + encUInt64le(buf[BlockSize-8:], ref.cnt+uint64(bcnt)) + + compress(buf, ref.h[:], h2[:]) + for u := uint8(0); u < 16; u++ { + encUInt64le(buf[(u*8):], h2[u]) + } + + compress(buf, kFinal[:], h1[:]) + for u := uint8(0); u < 8; u++ { + encUInt64le(dst[(u*8):], h1[8+u]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return int(HashSize) +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func compress(src []uint8, hv, dh []uint64) { + var xl, xh uint64 + + mv := [16]uint64{} + qt := [32]uint64{} + mv[0x0] = decUInt64le(src[0:]) + mv[0x1] = decUInt64le(src[8:]) + mv[0x2] = decUInt64le(src[16:]) + mv[0x3] = decUInt64le(src[24:]) + mv[0x4] = decUInt64le(src[32:]) + mv[0x5] = decUInt64le(src[40:]) + mv[0x6] = decUInt64le(src[48:]) + mv[0x7] = decUInt64le(src[56:]) + mv[0x8] = decUInt64le(src[64:]) + mv[0x9] = decUInt64le(src[72:]) + mv[0xA] = decUInt64le(src[80:]) + mv[0xB] = decUInt64le(src[88:]) + mv[0xC] = decUInt64le(src[96:]) + mv[0xD] = decUInt64le(src[104:]) + mv[0xE] = decUInt64le(src[112:]) + mv[0xF] = decUInt64le(src[120:]) + + { + xv := [16]uint64{} + xv[0x0] = mv[0x0] ^ hv[0x0] + xv[0x1] = mv[0x1] ^ hv[0x1] + xv[0x2] = mv[0x2] ^ hv[0x2] + xv[0x3] = mv[0x3] ^ hv[0x3] + xv[0x4] = mv[0x4] ^ hv[0x4] + xv[0x5] = mv[0x5] ^ hv[0x5] + xv[0x6] = mv[0x6] ^ hv[0x6] + xv[0x7] = mv[0x7] ^ hv[0x7] + xv[0x8] = mv[0x8] ^ hv[0x8] + xv[0x9] = mv[0x9] ^ hv[0x9] + xv[0xA] = mv[0xA] ^ hv[0xA] + xv[0xB] = mv[0xB] ^ hv[0xB] + xv[0xC] = mv[0xC] ^ hv[0xC] + xv[0xD] = mv[0xD] ^ hv[0xD] + xv[0xE] = mv[0xE] ^ hv[0xE] + xv[0xF] = mv[0xF] ^ hv[0xF] + + qt[0] = hv[0x1] + shiftBits0( + xv[0x5]-xv[0x7]+xv[0xA]+xv[0xD]+xv[0xE], + ) + qt[1] = hv[0x2] + shiftBits1( + xv[0x6]-xv[0x8]+xv[0xB]+xv[0xE]-xv[0xF], + ) + qt[2] = hv[0x3] + shiftBits2( + xv[0x0]+xv[0x7]+xv[0x9]-xv[0xC]+xv[0xF], + ) + qt[3] = hv[0x4] + shiftBits3( + xv[0x0]-xv[0x1]+xv[0x8]-xv[0xA]+xv[0xD], + ) + qt[4] = hv[0x5] + shiftBits4( + xv[0x1]+xv[0x2]+xv[0x9]-xv[0xB]-xv[0xE], + ) + qt[5] = hv[0x6] + shiftBits0( + xv[0x3]-xv[0x2]+xv[0xA]-xv[0xC]+xv[0xF], + ) + qt[6] = hv[0x7] + shiftBits1( + xv[0x4]-xv[0x0]-xv[0x3]-xv[0xB]+xv[0xD], + ) + qt[7] = hv[0x8] + shiftBits2( + xv[0x1]-xv[0x4]-xv[0x5]-xv[0xC]-xv[0xE], + ) + qt[8] = hv[0x9] + shiftBits3( + xv[0x2]-xv[0x5]-xv[0x6]+xv[0xD]-xv[0xF], + ) + qt[9] = hv[0xA] + shiftBits4( + xv[0x0]-xv[0x3]+xv[0x6]-xv[0x7]+xv[0xE], + ) + qt[10] = hv[0xB] + shiftBits0( + xv[0x8]-xv[0x1]-xv[0x4]-xv[0x7]+xv[0xF], + ) + qt[11] = hv[0xC] + shiftBits1( + xv[0x8]-xv[0x0]-xv[0x2]-xv[0x5]+xv[0x9], + ) + qt[12] = hv[0xD] + shiftBits2( + xv[0x1]+xv[0x3]-xv[0x6]-xv[0x9]+xv[0xA], + ) + qt[13] = hv[0xE] + shiftBits3( + xv[0x2]+xv[0x4]+xv[0x7]+xv[0xA]+xv[0xB], + ) + qt[14] = hv[0xF] + shiftBits4( + xv[0x3]-xv[0x5]+xv[0x8]-xv[0xB]-xv[0xC], + ) + qt[15] = hv[0x0] + shiftBits0( + xv[0xC]-xv[0x4]-xv[0x6]-xv[0x9]+xv[0xD], + ) + } + + qt[16] = expandOne(16, qt[:], mv[:], hv[:]) + qt[17] = expandOne(17, qt[:], mv[:], hv[:]) + qt[18] = expandTwo(18, qt[:], mv[:], hv[:]) + qt[19] = expandTwo(19, qt[:], mv[:], hv[:]) + qt[20] = expandTwo(20, qt[:], mv[:], hv[:]) + qt[21] = expandTwo(21, qt[:], mv[:], hv[:]) + qt[22] = expandTwo(22, qt[:], mv[:], hv[:]) + qt[23] = expandTwo(23, qt[:], mv[:], hv[:]) + qt[24] = expandTwo(24, qt[:], mv[:], hv[:]) + qt[25] = expandTwo(25, qt[:], mv[:], hv[:]) + qt[26] = expandTwo(26, qt[:], mv[:], hv[:]) + qt[27] = expandTwo(27, qt[:], mv[:], hv[:]) + qt[28] = expandTwo(28, qt[:], mv[:], hv[:]) + qt[29] = expandTwo(29, qt[:], mv[:], hv[:]) + qt[30] = expandTwo(30, qt[:], mv[:], hv[:]) + qt[31] = expandTwo(31, qt[:], mv[:], hv[:]) + + xl = qt[16] ^ qt[17] ^ qt[18] ^ qt[19] ^ qt[20] ^ qt[21] ^ qt[22] ^ qt[23] + xh = xl ^ qt[24] ^ qt[25] ^ qt[26] ^ qt[27] ^ qt[28] ^ qt[29] ^ qt[30] ^ qt[31] + + dh[0x0] = ((xh << 5) ^ (qt[16] >> 5) ^ mv[0x0]) + (xl ^ qt[24] ^ qt[0]) + dh[0x1] = ((xh >> 7) ^ (qt[17] << 8) ^ mv[0x1]) + (xl ^ qt[25] ^ qt[1]) + dh[0x2] = ((xh >> 5) ^ (qt[18] << 5) ^ mv[0x2]) + (xl ^ qt[26] ^ qt[2]) + dh[0x3] = ((xh >> 1) ^ (qt[19] << 5) ^ mv[0x3]) + (xl ^ qt[27] ^ qt[3]) + dh[0x4] = ((xh >> 3) ^ (qt[20] << 0) ^ mv[0x4]) + (xl ^ qt[28] ^ qt[4]) + dh[0x5] = ((xh << 6) ^ (qt[21] >> 6) ^ mv[0x5]) + (xl ^ qt[29] ^ qt[5]) + dh[0x6] = ((xh >> 4) ^ (qt[22] << 6) ^ mv[0x6]) + (xl ^ qt[30] ^ qt[6]) + dh[0x7] = ((xh >> 11) ^ (qt[23] << 2) ^ mv[0x7]) + (xl ^ qt[31] ^ qt[7]) + + dh[0x8] = ((dh[0x4] << 9) | (dh[0x4] >> (64 - 9))) + dh[0x8] += (xh ^ qt[24] ^ mv[0x8]) + ((xl << 8) ^ qt[23] ^ qt[8]) + dh[0x9] = ((dh[0x5] << 10) | (dh[0x5] >> (64 - 10))) + dh[0x9] += (xh ^ qt[25] ^ mv[0x9]) + ((xl >> 6) ^ qt[16] ^ qt[9]) + dh[0xA] = ((dh[0x6] << 11) | (dh[0x6] >> (64 - 11))) + dh[0xA] += (xh ^ qt[26] ^ mv[0xA]) + ((xl << 6) ^ qt[17] ^ qt[10]) + dh[0xB] = ((dh[0x7] << 12) | (dh[0x7] >> (64 - 12))) + dh[0xB] += (xh ^ qt[27] ^ mv[0xB]) + ((xl << 4) ^ qt[18] ^ qt[11]) + dh[0xC] = ((dh[0x0] << 13) | (dh[0x0] >> (64 - 13))) + dh[0xC] += (xh ^ qt[28] ^ mv[0xC]) + ((xl >> 3) ^ qt[19] ^ qt[12]) + dh[0xD] = ((dh[0x1] << 14) | (dh[0x1] >> (64 - 14))) + dh[0xD] += (xh ^ qt[29] ^ mv[0xD]) + ((xl >> 4) ^ qt[20] ^ qt[13]) + dh[0xE] = ((dh[0x2] << 15) | (dh[0x2] >> (64 - 15))) + dh[0xE] += (xh ^ qt[30] ^ mv[0xE]) + ((xl >> 7) ^ qt[21] ^ qt[14]) + dh[0xF] = ((dh[0x3] << 16) | (dh[0x3] >> (64 - 16))) + dh[0xF] += (xh ^ qt[31] ^ mv[0xF]) + ((xl >> 2) ^ qt[22] ^ qt[15]) +} + +func decUInt64le(src []byte) uint64 { + return (uint64(src[0]) | + uint64(src[1])<<8 | + uint64(src[2])<<16 | + uint64(src[3])<<24 | + uint64(src[4])<<32 | + uint64(src[5])<<40 | + uint64(src[6])<<48 | + uint64(src[7])<<56) +} + +func encUInt64le(dst []byte, src uint64) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) + dst[4] = uint8(src >> 32) + dst[5] = uint8(src >> 40) + dst[6] = uint8(src >> 48) + dst[7] = uint8(src >> 56) +} + +func shiftBits0(x uint64) uint64 { + return ((x >> 1) ^ (x << 3) ^ + ((x << 4) | (x >> (64 - 4))) ^ + ((x << 37) | (x >> (64 - 37)))) +} + +func shiftBits1(x uint64) uint64 { + return ((x >> 1) ^ (x << 2) ^ + ((x << 13) | (x >> (64 - 13))) ^ + ((x << 43) | (x >> (64 - 43)))) +} + +func shiftBits2(x uint64) uint64 { + return ((x >> 2) ^ (x << 1) ^ + ((x << 19) | (x >> (64 - 19))) ^ + ((x << 53) | (x >> (64 - 53)))) +} + +func shiftBits3(x uint64) uint64 { + return ((x >> 2) ^ (x << 2) ^ + ((x << 28) | (x >> (64 - 28))) ^ + ((x << 59) | (x >> (64 - 59)))) +} + +func shiftBits4(x uint64) uint64 { + return ((x >> 1) ^ x) +} + +func shiftBits5(x uint64) uint64 { + return ((x >> 2) ^ x) +} + +func rolBits(idx, off uint8, mv []uint64) uint64 { + x := mv[(idx+off)&15] + n := uint64((idx+off)&15) + 1 + return (x << n) | (x >> (64 - n)) +} + +func addEltBits(idx uint8, mv, hv []uint64) uint64 { + kbt := uint64(idx+16) * uint64(0x0555555555555555) + return ((rolBits(idx, 0, mv) + rolBits(idx, 3, mv) - + rolBits(idx, 10, mv) + kbt) ^ (hv[(idx+7)&15])) +} + +func expandOne(idx uint8, qt, mv, hv []uint64) uint64 { + return (shiftBits1(qt[idx-0x10]) + shiftBits2(qt[idx-0x0F]) + + shiftBits3(qt[idx-0x0E]) + shiftBits0(qt[idx-0x0D]) + + shiftBits1(qt[idx-0x0C]) + shiftBits2(qt[idx-0x0B]) + + shiftBits3(qt[idx-0x0A]) + shiftBits0(qt[idx-0x09]) + + shiftBits1(qt[idx-0x08]) + shiftBits2(qt[idx-0x07]) + + shiftBits3(qt[idx-0x06]) + shiftBits0(qt[idx-0x05]) + + shiftBits1(qt[idx-0x04]) + shiftBits2(qt[idx-0x03]) + + shiftBits3(qt[idx-0x02]) + shiftBits0(qt[idx-0x01]) + + addEltBits(uint8(idx-16), mv, hv)) +} + +func expandTwo(idx uint8, qt, mv, hv []uint64) uint64 { + return (qt[idx-0x10] + ((qt[idx-0x0F] << 5) | (qt[idx-0x0F] >> (64 - 5))) + + qt[idx-0x0E] + ((qt[idx-0x0D] << 11) | (qt[idx-0x0D] >> (64 - 11))) + + qt[idx-0x0C] + ((qt[idx-0x0B] << 27) | (qt[idx-0x0B] >> (64 - 27))) + + qt[idx-0x0A] + ((qt[idx-0x09] << 32) | (qt[idx-0x09] >> (64 - 32))) + + qt[idx-0x08] + ((qt[idx-0x07] << 37) | (qt[idx-0x07] >> (64 - 37))) + + qt[idx-0x06] + ((qt[idx-0x05] << 43) | (qt[idx-0x05] >> (64 - 43))) + + qt[idx-0x04] + ((qt[idx-0x03] << 53) | (qt[idx-0x03] >> (64 - 53))) + + shiftBits4(qt[idx-0x02]) + shiftBits5(qt[idx-0x01]) + + addEltBits(uint8(idx-16), mv, hv)) +} + +var kInit = [16]uint64{ + uint64(0x8081828384858687), uint64(0x88898A8B8C8D8E8F), + uint64(0x9091929394959697), uint64(0x98999A9B9C9D9E9F), + uint64(0xA0A1A2A3A4A5A6A7), uint64(0xA8A9AAABACADAEAF), + uint64(0xB0B1B2B3B4B5B6B7), uint64(0xB8B9BABBBCBDBEBF), + uint64(0xC0C1C2C3C4C5C6C7), uint64(0xC8C9CACBCCCDCECF), + uint64(0xD0D1D2D3D4D5D6D7), uint64(0xD8D9DADBDCDDDEDF), + uint64(0xE0E1E2E3E4E5E6E7), uint64(0xE8E9EAEBECEDEEEF), + uint64(0xF0F1F2F3F4F5F6F7), uint64(0xF8F9FAFBFCFDFEFF), +} + +var kFinal = [16]uint64{ + uint64(0xaaaaaaaaaaaaaaa0), uint64(0xaaaaaaaaaaaaaaa1), + uint64(0xaaaaaaaaaaaaaaa2), uint64(0xaaaaaaaaaaaaaaa3), + uint64(0xaaaaaaaaaaaaaaa4), uint64(0xaaaaaaaaaaaaaaa5), + uint64(0xaaaaaaaaaaaaaaa6), uint64(0xaaaaaaaaaaaaaaa7), + uint64(0xaaaaaaaaaaaaaaa8), uint64(0xaaaaaaaaaaaaaaa9), + uint64(0xaaaaaaaaaaaaaaaa), uint64(0xaaaaaaaaaaaaaaab), + uint64(0xaaaaaaaaaaaaaaac), uint64(0xaaaaaaaaaaaaaaad), + uint64(0xaaaaaaaaaaaaaaae), uint64(0xaaaaaaaaaaaaaaaf), +} diff --git a/crypto/x16rv3/bmw/bmw_test.go b/crypto/x16rv3/bmw/bmw_test.go new file mode 100644 index 0000000..f1bf34b --- /dev/null +++ b/crypto/x16rv3/bmw/bmw_test.go @@ -0,0 +1,2161 @@ +package bmw + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); int(HashSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{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"FDCAE1D17B39E1984682E228EA267330B4CB75ACA7A168FA114C60CA673D37695096F20219B39F335DC563D24E2C0D9092E8764F695DDB3B66A71E01AC3BE7F1", + "E68D4607E5D6843CCE81A96D35519905C2AB47DC76BC14E173B5192E829FB26D25EEBB5371C3BBFA0759CAA311D2770D78B17793C9A4C1F15A27DA86EB4CE502", +} diff --git a/crypto/x16rv3/cubehash/cubehash.go b/crypto/x16rv3/cubehash/cubehash.go new file mode 100644 index 0000000..4d7f42e --- /dev/null +++ b/crypto/x16rv3/cubehash/cubehash.go @@ -0,0 +1,392 @@ +package cubehash + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(32) + +type digest struct { + ptr uintptr + + h [32]uint32 + + b [BlockSize]byte +} + +// New returns a new digest compute a CUBEHASH512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + copy(ref.h[:], kInit[:]) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + if sln < (BlockSize - ptr) { + copy(ref.b[ptr:], src[:sln]) + ref.ptr += sln + return int(sln), nil + } + + st := ref.h[:] + buf := ref.b[:] + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(buf[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + st[0x00] ^= decUInt32le(buf[0:]) + st[0x01] ^= decUInt32le(buf[4:]) + st[0x02] ^= decUInt32le(buf[8:]) + st[0x03] ^= decUInt32le(buf[12:]) + st[0x04] ^= decUInt32le(buf[16:]) + st[0x05] ^= decUInt32le(buf[20:]) + st[0x06] ^= decUInt32le(buf[24:]) + st[0x07] ^= decUInt32le(buf[28:]) + + runRounds(st) + runRounds(st) + + runRounds(st) + runRounds(st) + + runRounds(st) + runRounds(st) + + runRounds(st) + runRounds(st) + + ptr = 0 + } + } + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Cubehash Close: dst min length: %d, got %d", HashSize, ln) + } + st := ref.h[:] + + { + buf := ref.b[:] + ptr := ref.ptr + 1 + + z := uint8(0x80) >> bcnt + buf[ref.ptr] = uint8((bits & -z) | z) + + memset(buf[ptr:], 0) + st[0x00] ^= decUInt32le(buf[0:]) + st[0x01] ^= decUInt32le(buf[4:]) + st[0x02] ^= decUInt32le(buf[8:]) + st[0x03] ^= decUInt32le(buf[12:]) + st[0x04] ^= decUInt32le(buf[16:]) + st[0x05] ^= decUInt32le(buf[20:]) + st[0x06] ^= decUInt32le(buf[24:]) + st[0x07] ^= decUInt32le(buf[28:]) + } + + for i := uint8(0); i < 11; i++ { + runRounds(st) + runRounds(st) + + runRounds(st) + runRounds(st) + + runRounds(st) + runRounds(st) + + runRounds(st) + runRounds(st) + + if i == 0 { + st[0x1F] ^= uint32(1) + } + } + + for i := uint8(0); i < 16; i++ { + encUInt32le(dst[(i<<2):], ref.h[i]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return int(HashSize) +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func decUInt32le(src []byte) uint32 { + return (uint32(src[0]) | + uint32(src[1])<<8 | + uint32(src[2])<<16 | + uint32(src[3])<<24) +} + +func encUInt32le(dst []byte, src uint32) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) +} + +func runRounds(st []uint32) { + st[0x10] = (st[0x00] + st[0x10]) + st[0x00] = (st[0x00] << 7) | (st[0x00] >> (32 - 7)) + st[0x11] = (st[0x01] + st[0x11]) + st[0x01] = (st[0x01] << 7) | (st[0x01] >> (32 - 7)) + st[0x12] = (st[0x02] + st[0x12]) + st[0x02] = (st[0x02] << 7) | (st[0x02] >> (32 - 7)) + st[0x13] = (st[0x03] + st[0x13]) + st[0x03] = (st[0x03] << 7) | (st[0x03] >> (32 - 7)) + st[0x14] = (st[0x04] + st[0x14]) + st[0x04] = (st[0x04] << 7) | (st[0x04] >> (32 - 7)) + st[0x15] = (st[0x05] + st[0x15]) + st[0x05] = (st[0x05] << 7) | (st[0x05] >> (32 - 7)) + st[0x16] = (st[0x06] + st[0x16]) + st[0x06] = (st[0x06] << 7) | (st[0x06] >> (32 - 7)) + st[0x17] = (st[0x07] + st[0x17]) + st[0x07] = (st[0x07] << 7) | (st[0x07] >> (32 - 7)) + st[0x18] = (st[0x08] + st[0x18]) + st[0x08] = (st[0x08] << 7) | (st[0x08] >> (32 - 7)) + st[0x19] = (st[0x09] + st[0x19]) + st[0x09] = (st[0x09] << 7) | (st[0x09] >> (32 - 7)) + st[0x1A] = (st[0x0A] + st[0x1A]) + st[0x0A] = (st[0x0A] << 7) | (st[0x0A] >> (32 - 7)) + st[0x1B] = (st[0x0B] + st[0x1B]) + st[0x0B] = (st[0x0B] << 7) | (st[0x0B] >> (32 - 7)) + st[0x1C] = (st[0x0C] + st[0x1C]) + st[0x0C] = (st[0x0C] << 7) | (st[0x0C] >> (32 - 7)) + st[0x1D] = (st[0x0D] + st[0x1D]) + st[0x0D] = (st[0x0D] << 7) | (st[0x0D] >> (32 - 7)) + st[0x1E] = (st[0x0E] + st[0x1E]) + st[0x0E] = (st[0x0E] << 7) | (st[0x0E] >> (32 - 7)) + st[0x1F] = (st[0x0F] + st[0x1F]) + st[0x0F] = (st[0x0F] << 7) | (st[0x0F] >> (32 - 7)) + st[0x08] ^= st[0x10] + st[0x09] ^= st[0x11] + st[0x0A] ^= st[0x12] + st[0x0B] ^= st[0x13] + st[0x0C] ^= st[0x14] + st[0x0D] ^= st[0x15] + st[0x0E] ^= st[0x16] + st[0x0F] ^= st[0x17] + st[0x00] ^= st[0x18] + st[0x01] ^= st[0x19] + st[0x02] ^= st[0x1A] + st[0x03] ^= st[0x1B] + st[0x04] ^= st[0x1C] + st[0x05] ^= st[0x1D] + st[0x06] ^= st[0x1E] + st[0x07] ^= st[0x1F] + st[0x12] = (st[0x08] + st[0x12]) + st[0x08] = (st[0x08] << 11) | (st[0x08] >> (32 - 11)) + st[0x13] = (st[0x09] + st[0x13]) + st[0x09] = (st[0x09] << 11) | (st[0x09] >> (32 - 11)) + st[0x10] = (st[0x0A] + st[0x10]) + st[0x0A] = (st[0x0A] << 11) | (st[0x0A] >> (32 - 11)) + st[0x11] = (st[0x0B] + st[0x11]) + st[0x0B] = (st[0x0B] << 11) | (st[0x0B] >> (32 - 11)) + st[0x16] = (st[0x0C] + st[0x16]) + st[0x0C] = (st[0x0C] << 11) | (st[0x0C] >> (32 - 11)) + st[0x17] = (st[0x0D] + st[0x17]) + st[0x0D] = (st[0x0D] << 11) | (st[0x0D] >> (32 - 11)) + st[0x14] = (st[0x0E] + st[0x14]) + st[0x0E] = (st[0x0E] << 11) | (st[0x0E] >> (32 - 11)) + st[0x15] = (st[0x0F] + st[0x15]) + st[0x0F] = (st[0x0F] << 11) | (st[0x0F] >> (32 - 11)) + st[0x1A] = (st[0x00] + st[0x1A]) + st[0x00] = (st[0x00] << 11) | (st[0x00] >> (32 - 11)) + st[0x1B] = (st[0x01] + st[0x1B]) + st[0x01] = (st[0x01] << 11) | (st[0x01] >> (32 - 11)) + st[0x18] = (st[0x02] + st[0x18]) + st[0x02] = (st[0x02] << 11) | (st[0x02] >> (32 - 11)) + st[0x19] = (st[0x03] + st[0x19]) + st[0x03] = (st[0x03] << 11) | (st[0x03] >> (32 - 11)) + st[0x1E] = (st[0x04] + st[0x1E]) + st[0x04] = (st[0x04] << 11) | (st[0x04] >> (32 - 11)) + st[0x1F] = (st[0x05] + st[0x1F]) + st[0x05] = (st[0x05] << 11) | (st[0x05] >> (32 - 11)) + st[0x1C] = (st[0x06] + st[0x1C]) + st[0x06] = (st[0x06] << 11) | (st[0x06] >> (32 - 11)) + st[0x1D] = (st[0x07] + st[0x1D]) + st[0x07] = (st[0x07] << 11) | (st[0x07] >> (32 - 11)) + st[0x0C] ^= st[0x12] + st[0x0D] ^= st[0x13] + st[0x0E] ^= st[0x10] + st[0x0F] ^= st[0x11] + st[0x08] ^= st[0x16] + st[0x09] ^= st[0x17] + st[0x0A] ^= st[0x14] + st[0x0B] ^= st[0x15] + st[0x04] ^= st[0x1A] + st[0x05] ^= st[0x1B] + st[0x06] ^= st[0x18] + st[0x07] ^= st[0x19] + st[0x00] ^= st[0x1E] + st[0x01] ^= st[0x1F] + st[0x02] ^= st[0x1C] + st[0x03] ^= st[0x1D] + + st[0x13] = (st[0x0C] + st[0x13]) + st[0x0C] = (st[0x0C] << 7) | (st[0x0C] >> (32 - 7)) + st[0x12] = (st[0x0D] + st[0x12]) + st[0x0D] = (st[0x0D] << 7) | (st[0x0D] >> (32 - 7)) + st[0x11] = (st[0x0E] + st[0x11]) + st[0x0E] = (st[0x0E] << 7) | (st[0x0E] >> (32 - 7)) + st[0x10] = (st[0x0F] + st[0x10]) + st[0x0F] = (st[0x0F] << 7) | (st[0x0F] >> (32 - 7)) + st[0x17] = (st[0x08] + st[0x17]) + st[0x08] = (st[0x08] << 7) | (st[0x08] >> (32 - 7)) + st[0x16] = (st[0x09] + st[0x16]) + st[0x09] = (st[0x09] << 7) | (st[0x09] >> (32 - 7)) + st[0x15] = (st[0x0A] + st[0x15]) + st[0x0A] = (st[0x0A] << 7) | (st[0x0A] >> (32 - 7)) + st[0x14] = (st[0x0B] + st[0x14]) + st[0x0B] = (st[0x0B] << 7) | (st[0x0B] >> (32 - 7)) + st[0x1B] = (st[0x04] + st[0x1B]) + st[0x04] = (st[0x04] << 7) | (st[0x04] >> (32 - 7)) + st[0x1A] = (st[0x05] + st[0x1A]) + st[0x05] = (st[0x05] << 7) | (st[0x05] >> (32 - 7)) + st[0x19] = (st[0x06] + st[0x19]) + st[0x06] = (st[0x06] << 7) | (st[0x06] >> (32 - 7)) + st[0x18] = (st[0x07] + st[0x18]) + st[0x07] = (st[0x07] << 7) | (st[0x07] >> (32 - 7)) + st[0x1F] = (st[0x00] + st[0x1F]) + st[0x00] = (st[0x00] << 7) | (st[0x00] >> (32 - 7)) + st[0x1E] = (st[0x01] + st[0x1E]) + st[0x01] = (st[0x01] << 7) | (st[0x01] >> (32 - 7)) + st[0x1D] = (st[0x02] + st[0x1D]) + st[0x02] = (st[0x02] << 7) | (st[0x02] >> (32 - 7)) + st[0x1C] = (st[0x03] + st[0x1C]) + st[0x03] = (st[0x03] << 7) | (st[0x03] >> (32 - 7)) + st[0x04] ^= st[0x13] + st[0x05] ^= st[0x12] + st[0x06] ^= st[0x11] + st[0x07] ^= st[0x10] + st[0x00] ^= st[0x17] + st[0x01] ^= st[0x16] + st[0x02] ^= st[0x15] + st[0x03] ^= st[0x14] + st[0x0C] ^= st[0x1B] + st[0x0D] ^= st[0x1A] + st[0x0E] ^= st[0x19] + st[0x0F] ^= st[0x18] + st[0x08] ^= st[0x1F] + st[0x09] ^= st[0x1E] + st[0x0A] ^= st[0x1D] + st[0x0B] ^= st[0x1C] + st[0x11] = (st[0x04] + st[0x11]) + st[0x04] = (st[0x04] << 11) | (st[0x04] >> (32 - 11)) + st[0x10] = (st[0x05] + st[0x10]) + st[0x05] = (st[0x05] << 11) | (st[0x05] >> (32 - 11)) + st[0x13] = (st[0x06] + st[0x13]) + st[0x06] = (st[0x06] << 11) | (st[0x06] >> (32 - 11)) + st[0x12] = (st[0x07] + st[0x12]) + st[0x07] = (st[0x07] << 11) | (st[0x07] >> (32 - 11)) + st[0x15] = (st[0x00] + st[0x15]) + st[0x00] = (st[0x00] << 11) | (st[0x00] >> (32 - 11)) + st[0x14] = (st[0x01] + st[0x14]) + st[0x01] = (st[0x01] << 11) | (st[0x01] >> (32 - 11)) + st[0x17] = (st[0x02] + st[0x17]) + st[0x02] = (st[0x02] << 11) | (st[0x02] >> (32 - 11)) + st[0x16] = (st[0x03] + st[0x16]) + st[0x03] = (st[0x03] << 11) | (st[0x03] >> (32 - 11)) + st[0x19] = (st[0x0C] + st[0x19]) + st[0x0C] = (st[0x0C] << 11) | (st[0x0C] >> (32 - 11)) + st[0x18] = (st[0x0D] + st[0x18]) + st[0x0D] = (st[0x0D] << 11) | (st[0x0D] >> (32 - 11)) + st[0x1B] = (st[0x0E] + st[0x1B]) + st[0x0E] = (st[0x0E] << 11) | (st[0x0E] >> (32 - 11)) + st[0x1A] = (st[0x0F] + st[0x1A]) + st[0x0F] = (st[0x0F] << 11) | (st[0x0F] >> (32 - 11)) + st[0x1D] = (st[0x08] + st[0x1D]) + st[0x08] = (st[0x08] << 11) | (st[0x08] >> (32 - 11)) + st[0x1C] = (st[0x09] + st[0x1C]) + st[0x09] = (st[0x09] << 11) | (st[0x09] >> (32 - 11)) + st[0x1F] = (st[0x0A] + st[0x1F]) + st[0x0A] = (st[0x0A] << 11) | (st[0x0A] >> (32 - 11)) + st[0x1E] = (st[0x0B] + st[0x1E]) + st[0x0B] = (st[0x0B] << 11) | (st[0x0B] >> (32 - 11)) + st[0x00] ^= st[0x11] + st[0x01] ^= st[0x10] + st[0x02] ^= st[0x13] + st[0x03] ^= st[0x12] + st[0x04] ^= st[0x15] + st[0x05] ^= st[0x14] + st[0x06] ^= st[0x17] + st[0x07] ^= st[0x16] + st[0x08] ^= st[0x19] + st[0x09] ^= st[0x18] + st[0x0A] ^= st[0x1B] + st[0x0B] ^= st[0x1A] + st[0x0C] ^= st[0x1D] + st[0x0D] ^= st[0x1C] + st[0x0E] ^= st[0x1F] + st[0x0F] ^= st[0x1E] +} + +var kInit = [32]uint32{ + uint32(0x2AEA2A61), uint32(0x50F494D4), uint32(0x2D538B8B), + uint32(0x4167D83E), uint32(0x3FEE2313), uint32(0xC701CF8C), + uint32(0xCC39968E), uint32(0x50AC5695), uint32(0x4D42C787), + uint32(0xA647A8B3), uint32(0x97CF0BEF), uint32(0x825B4537), + uint32(0xEEF864D2), uint32(0xF22090C4), uint32(0xD0E5CD33), + uint32(0xA23911AE), uint32(0xFCD398D9), uint32(0x148FE485), + uint32(0x1B017BEF), uint32(0xB6444532), uint32(0x6A536159), + uint32(0x2FF5781C), uint32(0x91FA7934), uint32(0x0DBADEA9), + uint32(0xD65C8A2B), uint32(0xA5A70E75), uint32(0xB1C62456), + uint32(0xBC796576), uint32(0x1921C8F7), uint32(0xE7989AF1), + uint32(0x7795D246), uint32(0xD43E3B44), +} diff --git a/crypto/x16rv3/cubehash/cubehash_test.go b/crypto/x16rv3/cubehash/cubehash_test.go new file mode 100644 index 0000000..ad03c8d --- /dev/null +++ b/crypto/x16rv3/cubehash/cubehash_test.go @@ -0,0 +1,2161 @@ +package cubehash + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{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"52C905EF392A2EE15ED8A6378B3AE698C5CAFC951F5E98F81962F18151D2C6FBD1A868DB412F3313939A404E033223BB5ED356AE52617A78EFEC5273A656E689", + "D16214347B07ABC75B44F964D95C990D28CCD254965B381B5DBF13203D555400069F42DDFE66B5AE7AB64BFCF64492A7DF7C75601E2275D27FB1FC7BA80E22D1", + "2E45B01BE11904D30C1DFDACA08D66B445DF17C4E0AE15D93165A83338473C1DB3190A94E623C0F5FB03C3B8E22CEEF9AB4F42C636810B3A0B4A58F054BB6C76", + "DCB06DEA58950C2DE07B6EF1CC700DAFEDF7D9788B2D5AB51B903D68B3E9B443EAF7839851CA4975855597C289FB8C5830A4E9DBEB13E6E83E9ED35348641EDD", + "080768A4F190F47E55D26E2D3C82BC4BF8FD5E60E9C2BA18DA07D30DD27FD37DF7A3A0D00D6F5E4C6527C4EDEC6A28C4C32948E88B521FB715F1C45514606546", + "37FF550CA2809014EBAAF4C288B522301B21175718C3C245A15DFE5FFF1238F53521CD78D0BC13B69C7F9BCBC45F45E06868834282760DA0ADEDF5872F29B1CB", + "9202C87D231BDDA09F69A4400FDA3EEA3EFE01F1E59BF15AE54F05F05D518CCA8135CAEE357D356AA5A63C0CC06E2AE73AB05D42A146BF521328A268D04191BB", + "800CE45DC31AD8286CB1357020E6AEBBE57FBF8441FC9E2BE4CB4A1DF3BBD4E2871113790470C84F9264E89ACDF031F75730D075A3232DBEBBB428E5734F638D", + "7570B32A72CE8BA86F283F761FE4EBADB24C2192C5B3DBF0475B2DD5F1974885C5154B3AFF841FCF77139B3C8B8B849A82AF0C6D6F4C55DA851A1F846D91B060", + "C0254898DB3E0F44B886E58E5CF6844F96113FC7091DF2DA49FDDB1F53E0BA4E9BABC16116CB7C438B726920ADB0A4885F7480F9660F4017E51DC12DBFE102C4", + "B55BFA817978B1A253EFD3CAD65F8FB91D197FC5B27DD474DC35527FD8EAB51ECE864A70D19A5EBB12CD84B198727EFD3E15555002404606F09670A150BB5318", + "6C6665497170CD412C73C2C0481D652BCEF129B29CDB7334AC61462CDD83E253B3CB190D1C301D7EB74927885ACF610157FF6510AE764F846FFF4BF41A2ABD1F", + "22551E40EC1BFEAF66EB870289BCBCF384C6C8EE3419CDC892F52DCC2EFF6AF439CE4497D29ED44375A69B37097C30662F7C3DD4D2A56137569ABAB6540EEBBD", + "E1BE35F77A4D4A370B088545F0E99DB7AAA8F4CC10D1AD9658B7AA2A1D20B70F87A9988270EC9C840EC1D12132AC79B2F5EC508766F1A74951A710FC9348E387", +} diff --git a/crypto/x16rv3/echo/echo.go b/crypto/x16rv3/echo/echo.go new file mode 100644 index 0000000..783bcba --- /dev/null +++ b/crypto/x16rv3/echo/echo.go @@ -0,0 +1,404 @@ +package echo + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/aesr" + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = uintptr(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(128) + +type digest struct { + ptr uintptr + + h [8][2]uint64 + c [4]uint32 + + b [BlockSize]byte +} + +// New returns a new digest compute a ECHO512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + + ref.h[0][0] = uint64(8 * HashSize) + ref.h[0][1] = 0 + ref.h[1][0] = uint64(8 * HashSize) + ref.h[1][1] = 0 + ref.h[2][0] = uint64(8 * HashSize) + ref.h[2][1] = 0 + ref.h[3][0] = uint64(8 * HashSize) + ref.h[3][1] = 0 + ref.h[4][0] = uint64(8 * HashSize) + ref.h[4][1] = 0 + ref.h[5][0] = uint64(8 * HashSize) + ref.h[5][1] = 0 + ref.h[6][0] = uint64(8 * HashSize) + ref.h[6][1] = 0 + ref.h[7][0] = uint64(8 * HashSize) + ref.h[7][1] = 0 + + memset32(ref.c[:], 0) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + if sln < (BlockSize - ptr) { + copy(ref.b[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + ref.c[0] += 1024 + if ref.c[0] < 1024 { + ref.c[1] += 1 + if ref.c[1] == 0 { + ref.c[2] += 1 + if ref.c[2] == 0 { + ref.c[3] += 1 + } + } + } + + compress(ref) + ptr = 0 + } + } + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > uintptr(ln) { + return fmt.Errorf("Echo Close: dst min length: %d, got %d", HashSize, ln) + } + + ptr := ref.ptr + buf := ref.b[:] + + eln := uint32(ptr<<3) + uint32(bcnt) + + ref.c[0] += eln + if ref.c[0] < eln { + ref.c[1] += 1 + if ref.c[1] == 0 { + ref.c[2] += 1 + if ref.c[2] == 0 { + ref.c[3] += 1 + } + } + } + + var tmp [64]uint8 + encUInt32le(tmp[:], ref.c[0]) + encUInt32le(tmp[4:], ref.c[1]) + encUInt32le(tmp[8:], ref.c[2]) + encUInt32le(tmp[12:], ref.c[3]) + + if eln == 0 { + memset32(ref.c[:], 0) + } + + { + off := uint8(0x80) >> bcnt + buf[ptr] = uint8((bits & -off) | off) + } + + ptr += 1 + memset8(buf[ptr:], 0) + + if ptr > (BlockSize - 18) { + compress(ref) + memset8(buf[:], 0) + memset32(ref.c[:], 0) + } + + encUInt16le(buf[(BlockSize-18):], uint16(16<<5)) + copy(buf[(BlockSize-16):], tmp[:]) + compress(ref) + + h := ref.h[:] + for x := uintptr(0); x < 4; x++ { + for y := uintptr(0); y < 2; y++ { + encUInt64le(dst[(((x*2)+y)*8):], h[x][y]) + } + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return int(HashSize) +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset8(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func memset32(dst []uint32, src uint32) { + for i := range dst { + dst[i] = src + } +} + +func compress(ref *digest) { + var w [16][2]uint64 + + k0 := ref.c[0] + k1 := ref.c[1] + k2 := ref.c[2] + k3 := ref.c[3] + + for i := uintptr(0); i < 8; i++ { + w[i][0] = ref.h[i][0] + w[i+8][0] = decUInt64le(ref.b[(16 * i):]) + w[i][1] = ref.h[i][1] + w[i+8][1] = decUInt64le(ref.b[((16 * i) + 8):]) + } + + var a0, a1, a2 uint64 + var b0, b1, b2 uint64 + + var w0, w1, w2, w3 uint64 + + var x0, x1, x2, x3 uint32 + var y0, y1, y2, y3 uint32 + + for u := uintptr(0); u < 10; u++ { + for n := uintptr(0); n < 16; n++ { + x0 = uint32(w[n][0]) + x1 = uint32(w[n][0] >> 32) + x2 = uint32(w[n][1]) + x3 = uint32(w[n][1] >> 32) + + y0, y1, y2, y3 = aesr.Round32ble( + x0, x1, x2, x3, + k0, k1, k2, k3, + ) + x0, x1, x2, x3 = aesr.Round32ble( + y0, y1, y2, y3, + 0, 0, 0, 0, + ) + + w[n][0] = uint64(x0) | (uint64(x1) << 32) + w[n][1] = uint64(x2) | (uint64(x3) << 32) + + k0 += 1 + if k0 == 0 { + k1 += 1 + if k1 == 0 { + k2 += 1 + if k2 == 0 { + k3 += 1 + } + } + } + } + + a0 = w[1][0] + w[1][0] = w[5][0] + w[5][0] = w[9][0] + w[9][0] = w[13][0] + w[13][0] = a0 + + a0 = w[1][1] + w[1][1] = w[5][1] + w[5][1] = w[9][1] + w[9][1] = w[13][1] + w[13][1] = a0 + + a0 = w[2][0] + w[2][0] = w[10][0] + w[10][0] = a0 + + a0 = w[6][0] + w[6][0] = w[14][0] + w[14][0] = a0 + + a0 = w[2][1] + w[2][1] = w[10][1] + w[10][1] = a0 + + a0 = w[6][1] + w[6][1] = w[14][1] + w[14][1] = a0 + + a0 = w[15][0] + w[15][0] = w[11][0] + w[11][0] = w[7][0] + w[7][0] = w[3][0] + w[3][0] = a0 + + a0 = w[15][1] + w[15][1] = w[11][1] + w[11][1] = w[7][1] + w[7][1] = w[3][1] + w[3][1] = a0 + + for n := uintptr(0); n < 2; n++ { + w0 = w[0][n] + w1 = w[1][n] + w2 = w[2][n] + w3 = w[3][n] + a0 = w0 ^ w1 + a1 = w1 ^ w2 + a2 = w2 ^ w3 + b0 = (((a0&uint64(0x8080808080808080))>>7)*27 ^ + ((a0 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b1 = (((a1&uint64(0x8080808080808080))>>7)*27 ^ + ((a1 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b2 = (((a2&uint64(0x8080808080808080))>>7)*27 ^ + ((a2 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + w[0][n] = b0 ^ a1 ^ w3 + w[1][n] = b1 ^ w0 ^ a2 + w[2][n] = b2 ^ a0 ^ w3 + w[3][n] = b0 ^ b1 ^ b2 ^ a0 ^ w2 + + w0 = w[4][n] + w1 = w[5][n] + w2 = w[6][n] + w3 = w[7][n] + a0 = w0 ^ w1 + a1 = w1 ^ w2 + a2 = w2 ^ w3 + b0 = (((a0&uint64(0x8080808080808080))>>7)*27 ^ + ((a0 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b1 = (((a1&uint64(0x8080808080808080))>>7)*27 ^ + ((a1 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b2 = (((a2&uint64(0x8080808080808080))>>7)*27 ^ + ((a2 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + w[4][n] = b0 ^ a1 ^ w3 + w[5][n] = b1 ^ w0 ^ a2 + w[6][n] = b2 ^ a0 ^ w3 + w[7][n] = b0 ^ b1 ^ b2 ^ a0 ^ w2 + + w0 = w[8][n] + w1 = w[9][n] + w2 = w[10][n] + w3 = w[11][n] + a0 = w0 ^ w1 + a1 = w1 ^ w2 + a2 = w2 ^ w3 + b0 = (((a0&uint64(0x8080808080808080))>>7)*27 ^ + ((a0 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b1 = (((a1&uint64(0x8080808080808080))>>7)*27 ^ + ((a1 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b2 = (((a2&uint64(0x8080808080808080))>>7)*27 ^ + ((a2 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + w[8][n] = b0 ^ a1 ^ w3 + w[9][n] = b1 ^ w0 ^ a2 + w[10][n] = b2 ^ a0 ^ w3 + w[11][n] = b0 ^ b1 ^ b2 ^ a0 ^ w2 + + w0 = w[12][n] + w1 = w[13][n] + w2 = w[14][n] + w3 = w[15][n] + a0 = w0 ^ w1 + a1 = w1 ^ w2 + a2 = w2 ^ w3 + b0 = (((a0&uint64(0x8080808080808080))>>7)*27 ^ + ((a0 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b1 = (((a1&uint64(0x8080808080808080))>>7)*27 ^ + ((a1 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + b2 = (((a2&uint64(0x8080808080808080))>>7)*27 ^ + ((a2 & uint64(0x7F7F7F7F7F7F7F7F)) << 1)) + w[12][n] = b0 ^ a1 ^ w3 + w[13][n] = b1 ^ w0 ^ a2 + w[14][n] = b2 ^ a0 ^ w3 + w[15][n] = b0 ^ b1 ^ b2 ^ a0 ^ w2 + } + } + + h := ref.h[:] + for x := uintptr(0); x < 8; x++ { + for y := uintptr(0); y < 2; y++ { + h[x][y] ^= decUInt64le(ref.b[(((x*2)+y)*8):]) ^ w[x][y] ^ w[x+8][y] + } + } +} + +func decUInt64le(src []byte) uint64 { + return (uint64(src[0]) | + uint64(src[1])<<8 | + uint64(src[2])<<16 | + uint64(src[3])<<24 | + uint64(src[4])<<32 | + uint64(src[5])<<40 | + uint64(src[6])<<48 | + uint64(src[7])<<56) +} + +func encUInt16le(dst []byte, src uint16) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) +} + +func encUInt32le(dst []uint8, src uint32) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) +} + +func encUInt64le(dst []byte, src uint64) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) + dst[4] = uint8(src >> 32) + dst[5] = uint8(src >> 40) + dst[6] = uint8(src >> 48) + dst[7] = uint8(src >> 56) +} diff --git a/crypto/x16rv3/echo/echo_test.go b/crypto/x16rv3/echo/echo_test.go new file mode 100644 index 0000000..33b2719 --- /dev/null +++ b/crypto/x16rv3/echo/echo_test.go @@ -0,0 +1,2161 @@ +package echo + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); int(HashSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{ + "158F58CC79D300A9AA292515049275D051A28AB931726D0EC44BDD9FAEF4A702C36DB9E7922FFF077402236465833C5CC76AF4EFC352B4B44C7FA15AA0EF234E", + "E7DC9285A0A9E429DA818FFACCC8DA0AEB2FFB17FD509927690EC5A496626C1EBDA5C252953F5843E478117BE9E7C96943497F836277317792B53AC30AA84A29", + "9CFA4A6A9848C41C25E182B18C23376AC87E76D6B89E0EE90250B8F6F0A58740E0631848D310A8E7BF350AAF0141CB0052FA9D52D785D6DE74A252A422D796D2", + "5FE65EC2334E81A7CCCF7FA972880658AAD254C4AB7E5418EC481746D5F2F344E5BDF7EBE7EAB3532E44B15F4B8DF00204BA44AB48EE059DB4BC3CE7EA3F0571", + "132A7D05F85B04AF38D27953FE44DECA2C50E7EF387332A08DD51C1C16B70D9149630756A018358B289DBB59AEC0C91D50518D8254CCDA4171C1B62724AE26A3", + "E2F279E2B54CC9A4AA545BF70FD7947CCB4D310A8D66F948DDD8CF7F4784153CEE5D665BC0B2772D1090313163772B72C5841287491F3E2204D95C695CAC3CD0", + "4F7F8122BD69788B08742A7E35EDD8B67E2EE777D330DED361FACD24B21D345901631696059EA59D670BECFB8DDCFA60CB9654021CAD6CB5C6D51452F69A7CB9", + 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} diff --git a/crypto/x16rv3/fugue/fugue.go b/crypto/x16rv3/fugue/fugue.go new file mode 100644 index 0000000..4cfba24 --- /dev/null +++ b/crypto/x16rv3/fugue/fugue.go @@ -0,0 +1,692 @@ +// Copyright (c) 2020 The qitmeer developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package fugue + +import ( + "encoding/binary" +) + +var mixtab0 = [...]uint32{ + (0x63633297), (0x7c7c6feb), (0x77775ec7), + (0x7b7b7af7), (0xf2f2e8e5), (0x6b6b0ab7), + (0x6f6f16a7), (0xc5c56d39), (0x303090c0), + (0x01010704), (0x67672e87), (0x2b2bd1ac), + (0xfefeccd5), (0xd7d71371), (0xabab7c9a), + (0x767659c3), (0xcaca4005), (0x8282a33e), + (0xc9c94909), (0x7d7d68ef), (0xfafad0c5), + (0x5959947f), (0x4747ce07), (0xf0f0e6ed), + (0xadad6e82), (0xd4d41a7d), (0xa2a243be), + (0xafaf608a), (0x9c9cf946), (0xa4a451a6), + (0x727245d3), (0xc0c0762d), (0xb7b728ea), + (0xfdfdc5d9), (0x9393d47a), (0x2626f298), + (0x363682d8), (0x3f3fbdfc), (0xf7f7f3f1), + (0xcccc521d), (0x34348cd0), (0xa5a556a2), + (0xe5e58db9), (0xf1f1e1e9), (0x71714cdf), + (0xd8d83e4d), (0x313197c4), (0x15156b54), + (0x04041c10), (0xc7c76331), (0x2323e98c), + (0xc3c37f21), (0x18184860), (0x9696cf6e), + (0x05051b14), (0x9a9aeb5e), (0x0707151c), + (0x12127e48), (0x8080ad36), (0xe2e298a5), + (0xebeba781), (0x2727f59c), (0xb2b233fe), + (0x757550cf), (0x09093f24), (0x8383a43a), + (0x2c2cc4b0), (0x1a1a4668), (0x1b1b416c), + (0x6e6e11a3), (0x5a5a9d73), (0xa0a04db6), + (0x5252a553), (0x3b3ba1ec), (0xd6d61475), + (0xb3b334fa), (0x2929dfa4), (0xe3e39fa1), + (0x2f2fcdbc), (0x8484b126), (0x5353a257), + (0xd1d10169), (0x00000000), (0xededb599), + (0x2020e080), (0xfcfcc2dd), (0xb1b13af2), + (0x5b5b9a77), (0x6a6a0db3), (0xcbcb4701), + (0xbebe17ce), (0x3939afe4), (0x4a4aed33), + (0x4c4cff2b), (0x5858937b), (0xcfcf5b11), + (0xd0d0066d), (0xefefbb91), (0xaaaa7b9e), + (0xfbfbd7c1), (0x4343d217), (0x4d4df82f), + (0x333399cc), (0x8585b622), (0x4545c00f), + (0xf9f9d9c9), (0x02020e08), (0x7f7f66e7), + (0x5050ab5b), (0x3c3cb4f0), (0x9f9ff04a), + (0xa8a87596), (0x5151ac5f), (0xa3a344ba), + (0x4040db1b), (0x8f8f800a), (0x9292d37e), + (0x9d9dfe42), (0x3838a8e0), (0xf5f5fdf9), + (0xbcbc19c6), (0xb6b62fee), (0xdada3045), + (0x2121e784), (0x10107040), (0xffffcbd1), + (0xf3f3efe1), (0xd2d20865), (0xcdcd5519), + (0x0c0c2430), (0x1313794c), (0xececb29d), + (0x5f5f8667), (0x9797c86a), (0x4444c70b), + (0x1717655c), (0xc4c46a3d), (0xa7a758aa), + (0x7e7e61e3), (0x3d3db3f4), (0x6464278b), + (0x5d5d886f), (0x19194f64), (0x737342d7), + (0x60603b9b), (0x8181aa32), (0x4f4ff627), + (0xdcdc225d), (0x2222ee88), (0x2a2ad6a8), + (0x9090dd76), (0x88889516), (0x4646c903), + (0xeeeebc95), (0xb8b805d6), (0x14146c50), + (0xdede2c55), (0x5e5e8163), (0x0b0b312c), + (0xdbdb3741), (0xe0e096ad), (0x32329ec8), + (0x3a3aa6e8), (0x0a0a3628), (0x4949e43f), + (0x06061218), (0x2424fc90), (0x5c5c8f6b), + (0xc2c27825), (0xd3d30f61), (0xacac6986), + (0x62623593), (0x9191da72), (0x9595c662), + (0xe4e48abd), (0x797974ff), (0xe7e783b1), + (0xc8c84e0d), (0x373785dc), (0x6d6d18af), + (0x8d8d8e02), (0xd5d51d79), (0x4e4ef123), + (0xa9a97292), (0x6c6c1fab), (0x5656b943), + (0xf4f4fafd), (0xeaeaa085), (0x6565208f), + (0x7a7a7df3), (0xaeae678e), (0x08083820), + (0xbaba0bde), (0x787873fb), (0x2525fb94), + (0x2e2ecab8), (0x1c1c5470), (0xa6a65fae), + (0xb4b421e6), (0xc6c66435), (0xe8e8ae8d), + (0xdddd2559), (0x747457cb), (0x1f1f5d7c), + (0x4b4bea37), (0xbdbd1ec2), (0x8b8b9c1a), + (0x8a8a9b1e), (0x70704bdb), (0x3e3ebaf8), + (0xb5b526e2), (0x66662983), (0x4848e33b), + (0x0303090c), (0xf6f6f4f5), (0x0e0e2a38), + (0x61613c9f), (0x35358bd4), (0x5757be47), + (0xb9b902d2), (0x8686bf2e), (0xc1c17129), + (0x1d1d5374), (0x9e9ef74e), (0xe1e191a9), + (0xf8f8decd), (0x9898e556), (0x11117744), + (0x696904bf), (0xd9d93949), (0x8e8e870e), + (0x9494c166), (0x9b9bec5a), (0x1e1e5a78), + (0x8787b82a), (0xe9e9a989), (0xcece5c15), + (0x5555b04f), (0x2828d8a0), (0xdfdf2b51), + (0x8c8c8906), (0xa1a14ab2), (0x89899212), + (0x0d0d2334), (0xbfbf10ca), (0xe6e684b5), + (0x4242d513), (0x686803bb), (0x4141dc1f), + (0x9999e252), (0x2d2dc3b4), (0x0f0f2d3c), + (0xb0b03df6), (0x5454b74b), (0xbbbb0cda), + (0x16166258)} + +var mixtab1 = [...]uint32{ + (0x97636332), (0xeb7c7c6f), (0xc777775e), + (0xf77b7b7a), (0xe5f2f2e8), (0xb76b6b0a), + (0xa76f6f16), (0x39c5c56d), (0xc0303090), + (0x04010107), (0x8767672e), (0xac2b2bd1), + (0xd5fefecc), (0x71d7d713), (0x9aabab7c), + (0xc3767659), (0x05caca40), (0x3e8282a3), + (0x09c9c949), (0xef7d7d68), (0xc5fafad0), + (0x7f595994), (0x074747ce), (0xedf0f0e6), + (0x82adad6e), (0x7dd4d41a), (0xbea2a243), + (0x8aafaf60), (0x469c9cf9), (0xa6a4a451), + (0xd3727245), (0x2dc0c076), (0xeab7b728), + (0xd9fdfdc5), (0x7a9393d4), (0x982626f2), + (0xd8363682), (0xfc3f3fbd), (0xf1f7f7f3), + (0x1dcccc52), (0xd034348c), (0xa2a5a556), + (0xb9e5e58d), (0xe9f1f1e1), (0xdf71714c), + (0x4dd8d83e), (0xc4313197), (0x5415156b), + (0x1004041c), (0x31c7c763), (0x8c2323e9), + (0x21c3c37f), (0x60181848), (0x6e9696cf), + (0x1405051b), (0x5e9a9aeb), (0x1c070715), + (0x4812127e), (0x368080ad), (0xa5e2e298), + (0x81ebeba7), (0x9c2727f5), (0xfeb2b233), + (0xcf757550), (0x2409093f), (0x3a8383a4), + (0xb02c2cc4), (0x681a1a46), (0x6c1b1b41), + (0xa36e6e11), (0x735a5a9d), (0xb6a0a04d), + (0x535252a5), (0xec3b3ba1), (0x75d6d614), + (0xfab3b334), (0xa42929df), (0xa1e3e39f), + (0xbc2f2fcd), (0x268484b1), (0x575353a2), + (0x69d1d101), (0x00000000), (0x99ededb5), + (0x802020e0), (0xddfcfcc2), (0xf2b1b13a), + (0x775b5b9a), (0xb36a6a0d), (0x01cbcb47), + (0xcebebe17), (0xe43939af), (0x334a4aed), + (0x2b4c4cff), (0x7b585893), (0x11cfcf5b), + (0x6dd0d006), (0x91efefbb), (0x9eaaaa7b), + (0xc1fbfbd7), (0x174343d2), (0x2f4d4df8), + (0xcc333399), (0x228585b6), (0x0f4545c0), + (0xc9f9f9d9), (0x0802020e), (0xe77f7f66), + (0x5b5050ab), (0xf03c3cb4), (0x4a9f9ff0), + (0x96a8a875), (0x5f5151ac), (0xbaa3a344), + (0x1b4040db), (0x0a8f8f80), (0x7e9292d3), + (0x429d9dfe), (0xe03838a8), (0xf9f5f5fd), + (0xc6bcbc19), (0xeeb6b62f), (0x45dada30), + (0x842121e7), (0x40101070), (0xd1ffffcb), + (0xe1f3f3ef), (0x65d2d208), (0x19cdcd55), + (0x300c0c24), (0x4c131379), (0x9dececb2), + (0x675f5f86), (0x6a9797c8), (0x0b4444c7), + (0x5c171765), (0x3dc4c46a), (0xaaa7a758), + (0xe37e7e61), (0xf43d3db3), (0x8b646427), + (0x6f5d5d88), (0x6419194f), (0xd7737342), + (0x9b60603b), (0x328181aa), (0x274f4ff6), + (0x5ddcdc22), (0x882222ee), (0xa82a2ad6), + (0x769090dd), (0x16888895), (0x034646c9), + (0x95eeeebc), (0xd6b8b805), (0x5014146c), + (0x55dede2c), (0x635e5e81), (0x2c0b0b31), + (0x41dbdb37), (0xade0e096), (0xc832329e), + (0xe83a3aa6), (0x280a0a36), (0x3f4949e4), + (0x18060612), (0x902424fc), (0x6b5c5c8f), + (0x25c2c278), (0x61d3d30f), (0x86acac69), + (0x93626235), (0x729191da), (0x629595c6), + (0xbde4e48a), (0xff797974), (0xb1e7e783), + (0x0dc8c84e), (0xdc373785), (0xaf6d6d18), + (0x028d8d8e), (0x79d5d51d), (0x234e4ef1), + (0x92a9a972), (0xab6c6c1f), (0x435656b9), + (0xfdf4f4fa), (0x85eaeaa0), (0x8f656520), + (0xf37a7a7d), (0x8eaeae67), (0x20080838), + (0xdebaba0b), (0xfb787873), (0x942525fb), + (0xb82e2eca), (0x701c1c54), (0xaea6a65f), + (0xe6b4b421), (0x35c6c664), (0x8de8e8ae), + (0x59dddd25), (0xcb747457), (0x7c1f1f5d), + (0x374b4bea), (0xc2bdbd1e), (0x1a8b8b9c), + (0x1e8a8a9b), (0xdb70704b), (0xf83e3eba), + (0xe2b5b526), (0x83666629), (0x3b4848e3), + (0x0c030309), (0xf5f6f6f4), (0x380e0e2a), + (0x9f61613c), (0xd435358b), (0x475757be), + (0xd2b9b902), (0x2e8686bf), (0x29c1c171), + (0x741d1d53), (0x4e9e9ef7), (0xa9e1e191), + (0xcdf8f8de), (0x569898e5), (0x44111177), + (0xbf696904), (0x49d9d939), (0x0e8e8e87), + (0x669494c1), (0x5a9b9bec), (0x781e1e5a), + (0x2a8787b8), (0x89e9e9a9), (0x15cece5c), + (0x4f5555b0), (0xa02828d8), (0x51dfdf2b), + (0x068c8c89), (0xb2a1a14a), (0x12898992), + (0x340d0d23), (0xcabfbf10), (0xb5e6e684), + (0x134242d5), (0xbb686803), (0x1f4141dc), + (0x529999e2), (0xb42d2dc3), (0x3c0f0f2d), + (0xf6b0b03d), (0x4b5454b7), (0xdabbbb0c), + (0x58161662)} + +var mixtab2 = [...]uint32{ + (0x32976363), (0x6feb7c7c), (0x5ec77777), + (0x7af77b7b), (0xe8e5f2f2), (0x0ab76b6b), + (0x16a76f6f), (0x6d39c5c5), (0x90c03030), + (0x07040101), (0x2e876767), (0xd1ac2b2b), + (0xccd5fefe), (0x1371d7d7), (0x7c9aabab), + (0x59c37676), (0x4005caca), (0xa33e8282), + (0x4909c9c9), (0x68ef7d7d), (0xd0c5fafa), + (0x947f5959), (0xce074747), (0xe6edf0f0), + (0x6e82adad), (0x1a7dd4d4), (0x43bea2a2), + (0x608aafaf), (0xf9469c9c), (0x51a6a4a4), + (0x45d37272), (0x762dc0c0), (0x28eab7b7), + (0xc5d9fdfd), (0xd47a9393), (0xf2982626), + (0x82d83636), (0xbdfc3f3f), (0xf3f1f7f7), + (0x521dcccc), (0x8cd03434), (0x56a2a5a5), + (0x8db9e5e5), (0xe1e9f1f1), (0x4cdf7171), + (0x3e4dd8d8), (0x97c43131), (0x6b541515), + (0x1c100404), (0x6331c7c7), (0xe98c2323), + (0x7f21c3c3), (0x48601818), (0xcf6e9696), + (0x1b140505), (0xeb5e9a9a), (0x151c0707), + (0x7e481212), (0xad368080), (0x98a5e2e2), + (0xa781ebeb), (0xf59c2727), (0x33feb2b2), + (0x50cf7575), (0x3f240909), (0xa43a8383), + (0xc4b02c2c), (0x46681a1a), (0x416c1b1b), + (0x11a36e6e), (0x9d735a5a), (0x4db6a0a0), + (0xa5535252), (0xa1ec3b3b), (0x1475d6d6), + (0x34fab3b3), (0xdfa42929), (0x9fa1e3e3), + (0xcdbc2f2f), (0xb1268484), (0xa2575353), + (0x0169d1d1), (0x00000000), (0xb599eded), + (0xe0802020), (0xc2ddfcfc), (0x3af2b1b1), + (0x9a775b5b), (0x0db36a6a), (0x4701cbcb), + (0x17cebebe), (0xafe43939), (0xed334a4a), + (0xff2b4c4c), (0x937b5858), (0x5b11cfcf), + (0x066dd0d0), (0xbb91efef), (0x7b9eaaaa), + (0xd7c1fbfb), (0xd2174343), (0xf82f4d4d), + (0x99cc3333), (0xb6228585), (0xc00f4545), + (0xd9c9f9f9), (0x0e080202), (0x66e77f7f), + (0xab5b5050), (0xb4f03c3c), (0xf04a9f9f), + (0x7596a8a8), (0xac5f5151), (0x44baa3a3), + (0xdb1b4040), (0x800a8f8f), (0xd37e9292), + (0xfe429d9d), (0xa8e03838), (0xfdf9f5f5), + (0x19c6bcbc), (0x2feeb6b6), (0x3045dada), + (0xe7842121), (0x70401010), (0xcbd1ffff), + (0xefe1f3f3), (0x0865d2d2), (0x5519cdcd), + (0x24300c0c), (0x794c1313), (0xb29decec), + (0x86675f5f), (0xc86a9797), (0xc70b4444), + (0x655c1717), (0x6a3dc4c4), (0x58aaa7a7), + (0x61e37e7e), (0xb3f43d3d), (0x278b6464), + (0x886f5d5d), (0x4f641919), (0x42d77373), + (0x3b9b6060), (0xaa328181), (0xf6274f4f), + (0x225ddcdc), (0xee882222), (0xd6a82a2a), + (0xdd769090), (0x95168888), (0xc9034646), + (0xbc95eeee), (0x05d6b8b8), (0x6c501414), + (0x2c55dede), (0x81635e5e), (0x312c0b0b), + (0x3741dbdb), (0x96ade0e0), (0x9ec83232), + (0xa6e83a3a), (0x36280a0a), (0xe43f4949), + (0x12180606), (0xfc902424), (0x8f6b5c5c), + (0x7825c2c2), (0x0f61d3d3), (0x6986acac), + (0x35936262), (0xda729191), (0xc6629595), + (0x8abde4e4), (0x74ff7979), (0x83b1e7e7), + (0x4e0dc8c8), (0x85dc3737), (0x18af6d6d), + (0x8e028d8d), (0x1d79d5d5), (0xf1234e4e), + (0x7292a9a9), (0x1fab6c6c), (0xb9435656), + (0xfafdf4f4), (0xa085eaea), (0x208f6565), + (0x7df37a7a), (0x678eaeae), (0x38200808), + (0x0bdebaba), (0x73fb7878), (0xfb942525), + (0xcab82e2e), (0x54701c1c), (0x5faea6a6), + (0x21e6b4b4), (0x6435c6c6), (0xae8de8e8), + (0x2559dddd), (0x57cb7474), (0x5d7c1f1f), + (0xea374b4b), (0x1ec2bdbd), (0x9c1a8b8b), + (0x9b1e8a8a), (0x4bdb7070), (0xbaf83e3e), + (0x26e2b5b5), (0x29836666), (0xe33b4848), + (0x090c0303), (0xf4f5f6f6), (0x2a380e0e), + (0x3c9f6161), (0x8bd43535), (0xbe475757), + (0x02d2b9b9), (0xbf2e8686), (0x7129c1c1), + (0x53741d1d), (0xf74e9e9e), (0x91a9e1e1), + (0xdecdf8f8), (0xe5569898), (0x77441111), + (0x04bf6969), (0x3949d9d9), (0x870e8e8e), + (0xc1669494), (0xec5a9b9b), (0x5a781e1e), + (0xb82a8787), (0xa989e9e9), (0x5c15cece), + (0xb04f5555), (0xd8a02828), (0x2b51dfdf), + (0x89068c8c), (0x4ab2a1a1), (0x92128989), + (0x23340d0d), (0x10cabfbf), (0x84b5e6e6), + (0xd5134242), (0x03bb6868), (0xdc1f4141), + (0xe2529999), (0xc3b42d2d), (0x2d3c0f0f), + (0x3df6b0b0), (0xb74b5454), (0x0cdabbbb), + (0x62581616)} + +var mixtab3 = [...]uint32{ + (0x63329763), (0x7c6feb7c), (0x775ec777), + (0x7b7af77b), (0xf2e8e5f2), (0x6b0ab76b), + (0x6f16a76f), (0xc56d39c5), (0x3090c030), + (0x01070401), (0x672e8767), (0x2bd1ac2b), + (0xfeccd5fe), (0xd71371d7), (0xab7c9aab), + (0x7659c376), (0xca4005ca), (0x82a33e82), + (0xc94909c9), (0x7d68ef7d), (0xfad0c5fa), + (0x59947f59), (0x47ce0747), (0xf0e6edf0), + (0xad6e82ad), (0xd41a7dd4), (0xa243bea2), + (0xaf608aaf), (0x9cf9469c), (0xa451a6a4), + (0x7245d372), (0xc0762dc0), (0xb728eab7), + (0xfdc5d9fd), (0x93d47a93), (0x26f29826), + (0x3682d836), (0x3fbdfc3f), (0xf7f3f1f7), + (0xcc521dcc), (0x348cd034), (0xa556a2a5), + (0xe58db9e5), (0xf1e1e9f1), (0x714cdf71), + (0xd83e4dd8), (0x3197c431), (0x156b5415), + (0x041c1004), (0xc76331c7), (0x23e98c23), + (0xc37f21c3), (0x18486018), (0x96cf6e96), + (0x051b1405), (0x9aeb5e9a), (0x07151c07), + (0x127e4812), (0x80ad3680), (0xe298a5e2), + (0xeba781eb), (0x27f59c27), (0xb233feb2), + (0x7550cf75), (0x093f2409), (0x83a43a83), + (0x2cc4b02c), (0x1a46681a), (0x1b416c1b), + (0x6e11a36e), (0x5a9d735a), (0xa04db6a0), + (0x52a55352), (0x3ba1ec3b), (0xd61475d6), + (0xb334fab3), (0x29dfa429), (0xe39fa1e3), + (0x2fcdbc2f), (0x84b12684), (0x53a25753), + (0xd10169d1), (0x00000000), (0xedb599ed), + (0x20e08020), (0xfcc2ddfc), (0xb13af2b1), + (0x5b9a775b), (0x6a0db36a), (0xcb4701cb), + (0xbe17cebe), (0x39afe439), (0x4aed334a), + (0x4cff2b4c), (0x58937b58), (0xcf5b11cf), + (0xd0066dd0), (0xefbb91ef), (0xaa7b9eaa), + (0xfbd7c1fb), (0x43d21743), (0x4df82f4d), + (0x3399cc33), (0x85b62285), (0x45c00f45), + (0xf9d9c9f9), (0x020e0802), (0x7f66e77f), + (0x50ab5b50), (0x3cb4f03c), (0x9ff04a9f), + (0xa87596a8), (0x51ac5f51), (0xa344baa3), + (0x40db1b40), (0x8f800a8f), (0x92d37e92), + (0x9dfe429d), (0x38a8e038), (0xf5fdf9f5), + (0xbc19c6bc), (0xb62feeb6), (0xda3045da), + (0x21e78421), (0x10704010), (0xffcbd1ff), + (0xf3efe1f3), (0xd20865d2), (0xcd5519cd), + (0x0c24300c), (0x13794c13), (0xecb29dec), + (0x5f86675f), (0x97c86a97), (0x44c70b44), + (0x17655c17), (0xc46a3dc4), (0xa758aaa7), + (0x7e61e37e), (0x3db3f43d), (0x64278b64), + (0x5d886f5d), (0x194f6419), (0x7342d773), + (0x603b9b60), (0x81aa3281), (0x4ff6274f), + (0xdc225ddc), (0x22ee8822), (0x2ad6a82a), + (0x90dd7690), (0x88951688), (0x46c90346), + (0xeebc95ee), (0xb805d6b8), (0x146c5014), + (0xde2c55de), (0x5e81635e), (0x0b312c0b), + (0xdb3741db), (0xe096ade0), (0x329ec832), + (0x3aa6e83a), (0x0a36280a), (0x49e43f49), + (0x06121806), (0x24fc9024), (0x5c8f6b5c), + (0xc27825c2), (0xd30f61d3), (0xac6986ac), + (0x62359362), (0x91da7291), (0x95c66295), + (0xe48abde4), (0x7974ff79), (0xe783b1e7), + (0xc84e0dc8), (0x3785dc37), (0x6d18af6d), + (0x8d8e028d), (0xd51d79d5), (0x4ef1234e), + (0xa97292a9), (0x6c1fab6c), (0x56b94356), + (0xf4fafdf4), (0xeaa085ea), (0x65208f65), + (0x7a7df37a), (0xae678eae), (0x08382008), + (0xba0bdeba), (0x7873fb78), (0x25fb9425), + (0x2ecab82e), (0x1c54701c), (0xa65faea6), + (0xb421e6b4), (0xc66435c6), (0xe8ae8de8), + (0xdd2559dd), (0x7457cb74), (0x1f5d7c1f), + (0x4bea374b), (0xbd1ec2bd), (0x8b9c1a8b), + (0x8a9b1e8a), (0x704bdb70), (0x3ebaf83e), + (0xb526e2b5), (0x66298366), (0x48e33b48), + (0x03090c03), (0xf6f4f5f6), (0x0e2a380e), + (0x613c9f61), (0x358bd435), (0x57be4757), + (0xb902d2b9), (0x86bf2e86), (0xc17129c1), + (0x1d53741d), (0x9ef74e9e), (0xe191a9e1), + (0xf8decdf8), (0x98e55698), (0x11774411), + (0x6904bf69), (0xd93949d9), (0x8e870e8e), + (0x94c16694), (0x9bec5a9b), (0x1e5a781e), + (0x87b82a87), (0xe9a989e9), (0xce5c15ce), + (0x55b04f55), (0x28d8a028), (0xdf2b51df), + (0x8c89068c), (0xa14ab2a1), (0x89921289), + (0x0d23340d), (0xbf10cabf), (0xe684b5e6), + (0x42d51342), (0x6803bb68), (0x41dc1f41), + (0x99e25299), (0x2dc3b42d), (0x0f2d3c0f), + (0xb03df6b0), (0x54b74b54), (0xbb0cdabb), + (0x16625816)} + +// https://researcher.watson.ibm.com/researcher/files/us-csjutla/fugue_Oct09.pdf +// F-512 IV +var IV512 = [...]uint32{ + (0x8807a57e), (0xe616af75), (0xc5d3e4db), + (0xac9ab027), (0xd915f117), (0xb6eecc54), + (0x06e8020b), (0x4a92efd1), (0xaac6e2c9), + (0xddb21398), (0xcae65838), (0x437f203f), + (0x25ea78e7), (0x951fddd6), (0xda6ed11d), + (0xe13e3567)} + +var partial uint32 +var partial_len uint +var round_shift uint +var S []uint32 +var bit_count uint64 + +func TIX4(q uint32, x00, x01, x04, x07, x08, x22, x24, x27, x30 *uint32) { + *x22 ^= *x00 + *x00 = (q) + *x08 ^= *x00 + *x01 ^= *x24 + *x04 ^= *x27 + *x07 ^= *x30 +} + +func CMIX36(x00, x01, x02, x04, x05, x06, x18, x19, x20 *uint32) { + *x00 ^= *x04 + *x01 ^= *x05 + *x02 ^= *x06 + *x18 ^= *x04 + *x19 ^= *x05 + *x20 ^= *x06 +} + +func SMIX(x0, x1, x2, x3 *uint32) { + var c0 uint32 + var c1 uint32 + var c2 uint32 + var c3 uint32 + var r0 uint32 + var r1 uint32 + var r2 uint32 + var r3 uint32 + var tmp = mixtab0[*x0>>24] + c0 ^= tmp + tmp = mixtab1[(*x0>>16)&0xFF] + c0 ^= tmp + r1 ^= tmp + tmp = mixtab2[(*x0>>8)&0xFF] + c0 ^= tmp + r2 ^= tmp + tmp = mixtab3[*x0&0xFF] + c0 ^= tmp + r3 ^= tmp + tmp = mixtab0[*x1>>24] + c1 ^= tmp + r0 ^= tmp + tmp = mixtab1[(*x1>>16)&0xFF] + c1 ^= tmp + tmp = mixtab2[(*x1>>8)&0xFF] + c1 ^= tmp + r2 ^= tmp + tmp = mixtab3[*x1&0xFF] + c1 ^= tmp + r3 ^= tmp + tmp = mixtab0[*x2>>24] + c2 ^= tmp + r0 ^= tmp + tmp = mixtab1[(*x2>>16)&0xFF] + c2 ^= tmp + r1 ^= tmp + tmp = mixtab2[(*x2>>8)&0xFF] + c2 ^= tmp + tmp = mixtab3[*x2&0xFF] + c2 ^= tmp + r3 ^= tmp + tmp = mixtab0[*x3>>24] + c3 ^= tmp + r0 ^= tmp + tmp = mixtab1[(*x3>>16)&0xFF] + c3 ^= tmp + r1 ^= tmp + tmp = mixtab2[(*x3>>8)&0xFF] + c3 ^= tmp + r2 ^= tmp + tmp = mixtab3[*x3&0xFF] + c3 ^= tmp + *x0 = ((c0 ^ r0) & (0xFF000000)) | ((c1 ^ r1) & (0x00FF0000)) | ((c2 ^ r2) & (0x0000FF00)) | ((c3 ^ r3) & (0x000000FF)) + *x1 = ((c1 ^ (r0 << 8)) & (0xFF000000)) | ((c2 ^ (r1 << 8)) & (0x00FF0000)) | ((c3 ^ (r2 << 8)) & (0x0000FF00)) | ((c0 ^ (r3 >> 24)) & (0x000000FF)) + *x2 = ((c2 ^ (r0 << 16)) & (0xFF000000)) | ((c3 ^ (r1 << 16)) & (0x00FF0000)) | ((c0 ^ (r2 >> 16)) & (0x0000FF00)) | ((c1 ^ (r3 >> 16)) & (0x000000FF)) + *x3 = ((c3 ^ (r0 << 24)) & (0xFF000000)) | ((c0 ^ (r1 >> 8)) & (0x00FF0000)) | ((c1 ^ (r2 >> 8)) & (0x0000FF00)) | ((c2 ^ (r3 >> 8)) & (0x000000FF)) +} + +func fugue_init_c_code(z_len uint, iv []uint32, iv_len uint) { + S = make([]uint32, 36) + + for u := 0; uint(u) < z_len; u++ { + S[u] = 0 + } + for u := 0; uint(u) < iv_len; u++ { + S[z_len+uint(u)] = iv[u] + } + + partial = 0 + partial_len = 0 + round_shift = 0 + bit_count = 0 +} + +func fugue4_core_c_code(data []uint8, length uint) { + var p uint32 + var plen, rshift uint + bit_count += uint64(length) << 3 + p = partial + plen = partial_len + if plen < 4 { + count := 4 - plen + if length < count { + count = length + } + plen += count + + for ; count > 0; count-- { + p = (p << 8) | uint32(data[0]) + data = data[1:] + length-- + } + if length == 0 { + partial = p + partial_len = plen + return + } + } + + rshift = round_shift + + var init bool + + for { + var q uint32 + if !init { + init = true + switch rshift { + case 0: + goto L0 + case 1: + goto L1 + case 2: + goto L2 + } + } + + L0: + q = p + TIX4(q, &S[0], &S[1], &S[4], &S[7], &S[8], &S[22], &S[24], &S[27], &S[30]) + CMIX36(&S[33], &S[34], &S[35], &S[1], &S[2], &S[3], &S[15], &S[16], &S[17]) + SMIX(&S[33], &S[34], &S[35], &S[0]) + CMIX36(&S[30], &S[31], &S[32], &S[34], &S[35], &S[0], &S[12], &S[13], &S[14]) + SMIX(&S[30], &S[31], &S[32], &S[33]) + CMIX36(&S[27], &S[28], &S[29], &S[31], &S[32], &S[33], &S[9], &S[10], &S[11]) + SMIX(&S[27], &S[28], &S[29], &S[30]) + CMIX36(&S[24], &S[25], &S[26], &S[28], &S[29], &S[30], &S[6], &S[7], &S[8]) + SMIX(&S[24], &S[25], &S[26], &S[27]) + + if length <= 4 { + rshift = (1) + break + } + p = binary.BigEndian.Uint32(data) + data = data[4:] + length -= 4 + + L1: + q = p + TIX4(q, &S[24], &S[25], &S[28], &S[31], &S[32], &S[10], &S[12], &S[15], &S[18]) + CMIX36(&S[21], &S[22], &S[23], &S[25], &S[26], &S[27], &S[3], &S[4], &S[5]) + SMIX(&S[21], &S[22], &S[23], &S[24]) + CMIX36(&S[18], &S[19], &S[20], &S[22], &S[23], &S[24], &S[0], &S[1], &S[2]) + SMIX(&S[18], &S[19], &S[20], &S[21]) + CMIX36(&S[15], &S[16], &S[17], &S[19], &S[20], &S[21], &S[33], &S[34], &S[35]) + SMIX(&S[15], &S[16], &S[17], &S[18]) + CMIX36(&S[12], &S[13], &S[14], &S[16], &S[17], &S[18], &S[30], &S[31], &S[32]) + SMIX(&S[12], &S[13], &S[14], &S[15]) + + if length <= 4 { + rshift = (2) + break + } + + p = binary.BigEndian.Uint32(data) + data = data[4:] + length -= 4 + + L2: + q = p + TIX4(q, &S[12], &S[13], &S[16], &S[19], &S[20], &S[34], &S[0], &S[3], &S[6]) + CMIX36(&S[9], &S[10], &S[11], &S[13], &S[14], &S[15], &S[27], &S[28], &S[29]) + SMIX(&S[9], &S[10], &S[11], &S[12]) + CMIX36(&S[6], &S[7], &S[8], &S[10], &S[11], &S[12], &S[24], &S[25], &S[26]) + SMIX(&S[6], &S[7], &S[8], &S[9]) + CMIX36(&S[3], &S[4], &S[5], &S[7], &S[8], &S[9], &S[21], &S[22], &S[23]) + SMIX(&S[3], &S[4], &S[5], &S[6]) + CMIX36(&S[0], &S[1], &S[2], &S[4], &S[5], &S[6], &S[18], &S[19], &S[20]) + SMIX(&S[0], &S[1], &S[2], &S[3]) + + if length <= 4 { + rshift = (0) + break + } + p = binary.BigEndian.Uint32(data) + data = data[4:] + length -= 4 + } + + p = 0 + partial_len = length + + for ; length > 0; length-- { + p = (p << 8) | uint32(data[0]) + data = data[1:] + } + partial = p + round_shift = rshift +} + +func CLOSE_ENTRY(S1 []uint32, ub, n uint) { + buf := make([]uint8, 16) + var plen, rms uint + plen = partial_len + binary.BigEndian.PutUint64(buf[4:], bit_count+uint64(n)) + if plen == 0 && n == 0 { + plen = 4 + } else if plen < 4 || n != 0 { + + if plen == 4 { + plen = 0 + } + buf[plen] = uint8(ub & (^(0xFF >> n))) + for u := plen + 1; u < 4; u++ { + buf[u] = 0 + } + } + fugue4_core_c_code(buf[plen:], 16-plen) + rms = round_shift * (12) + for i := 0; uint(i) < rms; i++ { + S1[i] = S[36-rms+uint(i)] + } + for i := 0; uint(i) < 36-rms; i++ { + S1[rms+uint(i)] = S[i] + } +} + +func ROR(S1 []uint32, n uint) { + tmp := make([]uint32, n) + tmp1 := make([]uint32, 36-n) + + copy(tmp, S1[36-n:]) + + copy(tmp1, S1) + copy(S1[n:], tmp1) + + copy(S1, tmp) +} + +func fugue4_close_c_code(ub, n uint, dst []uint8) { + S1 := make([]uint32, 36) + var i int + + CLOSE_ENTRY(S1, ub, n) + for i = 0; i < 32; i++ { + ROR(S1, 3) + CMIX36(&S1[0], &S1[1], &S1[2], &S1[4], &S1[5], &S1[6], &S1[18], &S1[19], &S1[20]) + SMIX(&S1[0], &S1[1], &S1[2], &S1[3]) + } + for i = 0; i < 13; i++ { + S1[4] ^= S1[0] + S1[9] ^= S1[0] + S1[18] ^= S1[0] + S1[27] ^= S1[0] + ROR(S1, 9) + SMIX(&S1[0], &S1[1], &S1[2], &S1[3]) + S1[4] ^= S1[0] + S1[10] ^= S1[0] + S1[18] ^= S1[0] + S1[27] ^= S1[0] + ROR(S1, 9) + SMIX(&S1[0], &S1[1], &S1[2], &S1[3]) + S1[4] ^= S1[0] + S1[10] ^= S1[0] + S1[19] ^= S1[0] + S1[27] ^= S1[0] + ROR(S1, 9) + SMIX(&S1[0], &S1[1], &S1[2], &S1[3]) + S1[4] ^= S1[0] + S1[10] ^= S1[0] + S1[19] ^= S1[0] + S1[28] ^= S1[0] + ROR(S1, 8) + SMIX(&S1[0], &S1[1], &S1[2], &S1[3]) + } + S1[4] ^= S1[0] + S1[9] ^= S1[0] + S1[18] ^= S1[0] + S1[27] ^= S1[0] + + binary.BigEndian.PutUint32(dst[0:4], S1[1]) + binary.BigEndian.PutUint32(dst[4:8], S1[2]) + binary.BigEndian.PutUint32(dst[8:12], S1[3]) + binary.BigEndian.PutUint32(dst[12:16], S1[4]) + binary.BigEndian.PutUint32(dst[16:20], S1[9]) + binary.BigEndian.PutUint32(dst[20:24], S1[10]) + binary.BigEndian.PutUint32(dst[24:28], S1[11]) + binary.BigEndian.PutUint32(dst[28:32], S1[12]) + binary.BigEndian.PutUint32(dst[32:36], S1[18]) + binary.BigEndian.PutUint32(dst[36:40], S1[19]) + binary.BigEndian.PutUint32(dst[40:44], S1[20]) + binary.BigEndian.PutUint32(dst[44:48], S1[21]) + binary.BigEndian.PutUint32(dst[48:52], S1[27]) + binary.BigEndian.PutUint32(dst[52:56], S1[28]) + binary.BigEndian.PutUint32(dst[56:60], S1[29]) + binary.BigEndian.PutUint32(dst[60:64], S1[30]) +} + +func Sph_fugue512_process(data []uint8, dst []uint8, length uint) { + + fugue_init_c_code(20, IV512[:], 16) + fugue4_core_c_code(data, length) + fugue4_close_c_code(0, 0, dst) +} + diff --git a/crypto/x16rv3/fugue/fugue_test.go b/crypto/x16rv3/fugue/fugue_test.go new file mode 100644 index 0000000..f1942ed --- /dev/null +++ b/crypto/x16rv3/fugue/fugue_test.go @@ -0,0 +1,340 @@ +// Copyright (c) 2020 The qitmeer developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package fugue + +import ( + "encoding/hex" + "github.com/stretchr/testify/assert" + "testing" +) + +func TestSph_fugue512_process(t *testing.T) { + + test_fugue512(t, "", "3124f0cbb5a1c2fb3ce747ada63ed2ab3bcd74795cef2b0e805d5319fcc360b4617b6a7eb631d66f6d106ed0724b56fa8c1110f9b8df1c6898e7ca3c2dfccf79") + test_fugue512(t, "a", "282fd707d06dc6f72b26ca2d26711a310ca720e9a5d28d4bc8d9f38bf3f379f2f46f335996beaef262630d80e7a99c289f2944993352a20384e8141f81fd3401") + test_fugue512(t,"abcdefghbcdefghicdefghijdefghijkefghijklfghijklmghijklmnhijklmno","3857daa0d1f6e7d4d9d27e8f455ffd4d7ecc3e9277df807cb85ca2d5202c8255bd19b5c9f4d7dfd429a5b87ab56b7d3ac3af75254761cc3c85d37287aa20cbb6") + + // from HashLibTest/TestData/Fugue512Test.txt + test_fugue512_hexInput(t, "40", "9444EA26614E48B6389EC2D9113866358DDC66B536A8DF4423F70BB32882ED965FD492EDC7D71162E27D2D8207C9D132937DD247037388E648F5D7D642D6DA76") + test_fugue512_hexInput(t, "3197", "CCCB211972804E0DC060FF76F5F946FCEFBB1D4FDAE29D88EAB6F05BA1BAD2D89616BDDF387B100C2C6B89E5737676B5C06E32CC17ABE6A094FB967AB877AEC5") + test_fugue512_hexInput(t, "4D22DF", "4A7FED4E372EA8BA825F574B6BC9CD63643280D6EF656309D9ECFCBA969F10463E98FF793D0267A7DD075846ACE0D2ED4D4980F7F1A85DEE20A03390F722DB77") + test_fugue512_hexInput(t, "6CCD13D7", "1C68CD8F4E110AD47E060BF2B74BBDFA69310BA7CBFFD02E796998222E1CF0EDE6F1C6436E5D246EDB0BA6410DCA81F92AD7B0AB8E8B55068B0DC3B883D5596C") + test_fugue512_hexInput(t, "D8D9C639AE", "BD51E56A81FA9E484025A8F62A9EB19FCBA6B8A8964C5D02412BD660AFAB31575AA4073D2D9D2008BBFF2DA51940512D2344A07068C7856259BA21CFFBA31D3E") + test_fugue512_hexInput(t, "FBC4AB9E4B2F", "6BE80B114FE096FB863C3425539159D7D04E2BDD17DE97273F9EA26404389535837D1C53735F7D5E8F83101D2040ACF4E56ADE26525E6A4F9311E69413F7AA02") + test_fugue512_hexInput(t, "D19BEB74934639", "56E343E8BD9BDC0DE43A091876AB8C1E158E08E36A5D6E88BA217EC34CF4B58A2DB1F98C8134184E390A61E2835BFFB4F3C002B33C51B2EC5E5CF859523FC6A2") + test_fugue512_hexInput(t, "48DE5F4845276C8F", "E1F2D926F1912F297A89AA34DFBE30748EBAFF53DE83A67C31B843DD40CFB98CB1121FCA2C33DBDA5E9CEEF3FA542757CC5E2D56422E221337FA8FA0282C2CC8") + test_fugue512_hexInput(t, "8E854990BC47A07EAA", "F3036EDD8534C7A4D8F8B2641CA12D70A7BE53D7336D0D0C7BAEDF2D5943C47C39CEB8F62222F238437AA3EEDBF3B24A3745C46FB2A3EF09DAD3F436E070A976") + test_fugue512_hexInput(t, "4EB0FE433C6B87F34B29", "61C850293E47C8B471404E8B6FB38DAE7C3DDEAFC9E001D7C6FD41E914D60C8DF2D3A0B7F28C67408E031F3836538AA91DD4CFD8BB6246F2DF46DD767EDED848") + test_fugue512_hexInput(t, "BE497843C5834987519441", "8D6920BBF604D129E784AC08753B3A8C7997BB6B0F442357EEA9C873BB51C348FC20E55B7033F2B350815799D9C387FE08D1A581356A0E8D2D9ADE4426D85C08") + test_fugue512_hexInput(t, "8331CA2956433A094249FDBE", "CA0CC4EF85AE4779B4964B0FCC9BF26BD63B5290B745A89AAB65CF8D3E3BF28325425D46B0308982C1F9A8D964AEDB797B2D5F12A02993A5810794F594FC3084") + test_fugue512_hexInput(t, "BF62FA2EECBE87D080E92C37EB", "A047DC9DCBD9BF31B36549A89A4822B868D7DD5C2071B8F1103A8BB5DC54BCF1AC5CE9AA2DFF8EBB26F36C22CED52E6D0AE6484F1C04EC1AB67492AD5D01A384") + test_fugue512_hexInput(t, "4A8BAE394046AFBC47D690224CB9", "4EC2A1BB094954C462AC911778647ED3EC961B048168BA6054BA40BA1A594A3A9B05D45075C609A8B28F786C4605098726E0392B24AB61D5AFA1BD5F7235678F") + test_fugue512_hexInput(t, "78D9CE79AFC1E0C41E2A48278E4B4B", "7D081E7872AA5888FD70D8587344655984B8F6EC8826B9CCE7B52F41B9DFDFE201B7CBAF513CF90BFCDDA9D2EAA191CCC263FC69DCC88EFD926DBC74B86BF1E3") + test_fugue512_hexInput(t, "816B650FB50D8E848DB94034628FC520", "DFE8AF2C634AD822BF44418F7B20F9A6428A9ECEAD1E4888EAA15E60CC59E7F4D045277EA434B04232ECF34AD0944F2A001C80F9E3ABB950661E5AE34FA66127") + test_fugue512_hexInput(t, "629768E3633858B4D23D04773DA28CBCFB", "E659B1143C9F229B72CE98735B42EF086419AAAFCE4FEB135C66B895E8537523BEB534342C9EC2D8685A54435CBEBFB19A27197FAB08B3F2C725B14B5C89D7A1") + test_fugue512_hexInput(t, "55462FF88CDF40292838C888B71D16EA5D88", "C864FF457248121D9075AD34D11D1BF190C09398C15611FEB53B84AA9CE6A9C40776E0123E783B5E6EC855375340B97D01945E48BE5B16F52D2A6D8B0ED32EDA") + test_fugue512_hexInput(t, "C69924B3A64312DB5808B1C3AD05C05413E958", "CCD6FB3EEE31356026D71E5A6B3C10015A974496F84E646DDF47020CAD6EB21A3BD19ADF07980CC820863DD4AA03482D2B5C44C4688EA77B0C81442633833832") + test_fugue512_hexInput(t, "99F397D1268B57091AA4A299685C3826FC77196E21", "DE52AF5D22687846A4E42A2F2C4E18701A7AED5710102528ADC8DBAE2C1C14CAD5B8863835258D32E428D5C61B81F5C4D58A5F28DB04085E25A2B42E0D2FBD0C") + test_fugue512_hexInput(t, "7A78E5E46E36837950F3D53061C0789B90F5374CEC88", "A939936004211D7CE91616FE33F7AE6CD6BD124457C82A84067023005B49400DCE43686EECF4E318EBF8913DCBA5AFC7BB69CF71CF274209167B05B2F73DCA04") + test_fugue512_hexInput(t, + "A0DAC9754045558650DA891AFB3EC312CCF85D3300D426", + "ACCE4883BC1A64B68A9732C679F9B38D91D885D3446B89147137CD746643312A335555778DE243DEA9C4A301437CED0F72D9F9B12703C5620FA4462DC67D0366") + test_fugue512_hexInput(t, + "0B69E8AA8DEED1859D2B7FF78D07DCEDE826A872E66E0AE1", + "03EFB770A45A791E6FE30CC378B6FD2A25CD633BCBC7F2906F8E056147FC5D32ED0B27921DA01A923F6245ECDD0C64C08CDD21ACF5908CE8C870E01EF20EA7D5") + test_fugue512_hexInput(t, + "3ECD10659E510DD8F28C8DDABAA5790C640A77C8243F958C9C", + "79C322FCEDE5697242D305EE45061FD5703046D3DC95DE6FB122D361890336698A93F2F677B4CCB9074C0EA2235C906408CD4D1682302C00A24CF5B24E8B7452") + test_fugue512_hexInput(t, + "2618CDDCA206E42E247BE6474224E5A634377B9AD6C4BAC621D6", + "38FEB84ECA08374E5BD385159C16748A8BC94843766E7A90848CD060F80DF1B73638D1AAC2C1264506162F5586586194E7DD98164904E24B4B1877BBF30D8B87") + test_fugue512_hexInput(t, + "55314A0198F4C4623A364C3B81F45D079EDA66F50C44BB33E8279F", + "BD3FDC1DF331BB2F65E48AF1489BB45403BA853517B409EE84B16A59CFC575BF9BD29E63649F3CE4642F2067AE66849BBE690E6042AB1ACD5705F6B6AF639767") + test_fugue512_hexInput(t, + "FCED8CDC4690D5F10121060934800A4B881DE2CA9B1F206C76658D0C", + "A0BA7BA3ECD15691443F7853413937ADFCB5F196A02FA7B60666FE53FCBE1B03034A9E4675227D39620012678968D01FA209F5D177EB958E1D1FA3DFA9DB1F76") + test_fugue512_hexInput(t, + "C89186812C99D936B8751D6901CA1892C03D8FB0B72B60A7A87BA20A93", + "18A03431D2D125F43688DE9AC8263A5C6C0F3B2839E1EE65F5436426EB5F10A54D86913BAB4D32CE4ABB13E530F0CB8FC3CE80C0A3A2436A7F5ED945BB667DD0") + test_fugue512_hexInput(t, + "1915A470840704DA66E2384473A79AB5D98924B7EDB4FD6329975F0A49D3", + "6FBD06F18FB4000C52D4DAD5FF99037EAA0019E32FA7BE4B582F4CFDC52F5AB43A6E94AB16871B45798BE72F4770BC5E92E85E42A9C0AAEFA0ACE8535F5B9CB7") + test_fugue512_hexInput(t, + "3C256BF4BC51F5BD41B1480C641BF721630AC4165B490CA14E324E49136D9F", + "890113B4688E8414F47947A5E07ADF0E9BB290184895C903323BE43CE983F54A87C0F5F5DE166D3E20EEAB1CF8F79AAEF1C99D51CBC5372F1F65FD16803CA001") + test_fugue512_hexInput(t, + "2E86993AA9577E0176DEE507BF649F9358EEBE67CEAFA2D4C10ACE8D4BE895AD", + "A11D8E6D4CFCB7D4A1099D38C00AF97AE849019076864B994F3D662C26219567B9E6A3F6EA2E7AD8E19545646BF62107816C867ACA68C213141267E3941CFF87") + test_fugue512_hexInput(t, + "015ECA91AB59E81C9486D97C079CBE1867834BD5B03C3AE3C65A9FBB842643FD84", + "5267744EA3D23E55D8C89DDA248F5822FCEF389943424A876F8710CCFE5193F04761A1193FC34FBFD814F79E1E83B48D11F98BFC5F0A3B7FAEE0EB4236DCF840") + test_fugue512_hexInput(t, + "EBECF3C5A7476DBB35D348DBEC5A0EB7B3A5499BE07B8FCD489A7B56E07F0A91D196", + "18F8C145349C40ECFCB1CB1CF4F2F7B6494C2A888D879CA3CBAD6E98C4441BBBB2FF46049333A5DE58946C0DD84E7F2C7D48F263C17B4F48FEB593AB6DA56D71") + test_fugue512_hexInput(t, + "4971FB343551CA6D29F63D2260F4158E2467304ECE74DF2CA1410B338726BF3ED9BB4B", + "483D822AD3E7C93417A4CAB592D847C9B00E243BBEDBE76E1C48AA1917BBE8F202645ECC37A41D9A38A844DA4B3B870B60A5C316865AA27B70EF4CAF586FFA30") + test_fugue512_hexInput(t, + "F5E91932E0D1AE09905D4680BD42ECC7FBEC8A21C96EB71DFA0C6062BE8E9C6B187E3B81", + "6C8DC77D13C2F237528BE9786B90279D0CCAA61DE101DEBCE619F4EFA98986BEA803D11EE40E3DFB9ABCE920F1A7DB94C85AB1EAF414730D0740559B2CA7443B") + test_fugue512_hexInput(t, + "9C4F0FBE8D3A23204B11E776E474D359626D5BCEEA3F4C9A3F9F939CEA88F7CBF71E99A8D5", + "46C4D3CC43E87160490A486717F23537DD18263580AA6623FD66C1DACB963D32F8CE4D6783A40C1C0D7F9ABABBF25F63C82C8A3B13F15405167D3B6852C6D029") + test_fugue512_hexInput(t, + "0316FB3C341E31F5203AD9620A7FD664EF18FB124E30E250A31E94E0676C64789B916CF13D7B", + "62530F5BB741CFE61ED5A60C740C171883AB72C73E5471B0A5E6C232CAA8CC7A87A59BBE07F1962F6B22925352356DE0633F421C8722D85D05E95CBCB863A540") + test_fugue512_hexInput(t, + "027CF5DB78AB8962608D612DC646F936384FA1F7B6C781B610AC9C87413D61381A1B3B91A72458", + "771CDBEDBAA526A6BA0AE499030FD1E09E1D992162F394AF935C79599E3C2D3F9397D7FF1E2F67CDE33B514E141C8B05935AE4EF6D284BBF06C26D65BD80529E") + test_fugue512_hexInput(t, + "107B3573386A8F5541AE38AAEC3114D755271FC841B2BEFD4D7DD3005A772AC817204D128850300D", + "74E51D36093AED992EEF184FFC625C7037BF8C84F44548A4B7CFDBE40A96F4CACE281C2991CD7D523A23F6C558238F193630AFD6543D667519CDF30DF14B8E97") + test_fugue512_hexInput(t, + "6BBBFD97A69D7AFA2805855E594A14EB1588D4B9159E3BEB757AC9DF9B655C890B7F6E4BA034F11936", + "63E189795E25CCB0EFFC705E03B5E1B97E93F63C44DEBBBA8FF403A561EDDFD14E24DB1903426633A9D8DE1CF3554DE65D0A4EA8252DD3C3B3C3CFEB8F5E7B0B") + test_fugue512_hexInput(t, + "013A065A005C0F13F0B627D79AC1763DF77E6BEAAD39B9D94F6C56C4C6E6634BBB8C2390D5245054558F", + "AFB0F0EB960B570BCA59DD6116E0CDAE0E5B780851400D72EBDCB5B47DFDF793E9B1DAD83D7E754C3CA812CBB7F0F7571D34338CCDB0D20ABA14331FF85F8C01") + test_fugue512_hexInput(t, + "324C3CEF1B14B358C40D9F2C8E641B59B8F11BC1B4CA2423BB849BB2BABEAAFBA523D90C6DBDA87F5C1460", + "D6C0671935C7AA106FFE2615064FCCE3F4C666B574666195C9FCF9755A57844F617DC36F9D8A53C32514A3D2C4A6F7E44C2AF3456D49958EE7F5C0604AEA00E9") + test_fugue512_hexInput(t, + "4F5E98F23E69F81AC2F24ECB5F55B8FBCECF5690E3899F224FBCF1B48CB8187929C34DCEBB98032AB8522177", + "5B39ADD19D5FB2BD32A0F35C8F165F14830A766A158B7FAFDC4077E129925E6B59F517FACAC71CDAF48E500ED9E7AA04EEFCC4F8AA354B3EC64B9EFB4F224AEC") + test_fugue512_hexInput(t, + "839F124356968E065DD9956C8867B8F38DED776527A51F92E5A0861C6B09D36DDEDB4C68B157C85F721E5C41BF", + "50F9E65EB82508ACA4039B5F48A15A06E8AB25AE7436F450EE75039C5A567577C25006B8C5D08749B4E0D00FE720864ACBDB490B1D9D8026FA7886D373A91A3E") + test_fugue512_hexInput(t, + "23DA7E4732BACA14E8830AF54ACFDCE6901F0234D6A027C028123044E3215BE29D2E6D9ACF04B47A6A206E763A6E", + "4E5D4F243534F775E1AEECE97ACC85C91E82C8E4FDE3C0AB8EE71631A28AD7BB6A5F7FB46BD14C10C59D5ABDF73C9C43E0F852E02CDA2C1F510385901540A313") + test_fugue512_hexInput(t, + "71FDBD381450C1A63DE0EA060C317532841A85A3798D6180DA41E8AA657CA2691A6004654A026FB6201BEFF421B317", + "94AA03B74F8A047B949E67E779686595BE406241B94BE2E43F0FD7498DCE30C428CF101F33E92C131B45D15752B04700C47E1A94C3044CBE2BB0C7D1AB9878D1") + test_fugue512_hexInput(t, + "AFC130CA24382E62AF5A2D0FDF8689679E895355CD42832CB538D221E368F3A012B4DC9515B9D459B3F3E63D5F0B9C52", + "CDE119B14D68AE564D6FDF709A814275B5BE4D4B5ADA903FADEB16EA0F6D144578C4B7F170B56C1DE42A2D1877299881E9CF2ED3B847A94B9453F796F36769B3") + test_fugue512_hexInput(t, + "E89492A06C51F3D2C9241D5A0E8C8A4A256066B831100799E43CC4C5B080446A332F6ACB726C681148693623CE220C47A5", + "96A96A7B25A448E71944B96292DF4AF5CCA5F6C8ADED8A36D459A8B86AA6F0F52ECB7B054E24D2ED0EED1A8BB5EEC09E65F9EB658420F25E7E856716D023891D") + test_fugue512_hexInput(t, + "11FA4A1625A90AF9D0F5F5A63AE3B38AA04F17940EDFE35521C7E39261610A02360AC6CC02467CBA76141794FD359A0DE276", + "E9EDD40D8F6A8498299F8207BDBAA20B5EE4CF784D241750F075837C0623C149FF4DA4060A5B0D65658C149BD920A03627093E61B8855D91AB73DDA22488CAB5") + test_fugue512_hexInput(t, + "82AF90B618DCA2857D3F83A6911EA68EB178B8EC328219D4E7D4C31D16C9B348EC60FD6B6464C4479B3BFE969E1C1BF59D596D", + "07989FD79A433CE285F2515083023785A330692477B6B9E0846707EEF9A5BDA62ADFC2BAAF76B324AF12A0D48C1EF8AA486F4CA58116B356DCC9F502221BA6F9") + test_fugue512_hexInput(t, + "38595485FBB094C17F40ACB82BE8D3BB5904D3742AA058F04E5AE1686220B556B442095B7F6A498623DECA9B74BB9FF82131FCEE", + "3F223983CF95394CABAD95BD27B851ED38D99B17F4F7234C80B3894C9C885A0F09459DC3429B189AEA7E05A7A7CD75C6E8EEFCE30FBC724E5D1BC05F5B19DC8F") + test_fugue512_hexInput(t, + "DBE8821941C7151CC0EFA313525B53CFB2D2F813565CAC31BBAA135FD45B984D8039A3A7643D35A5EA513AD33F88BD41FC13647FC7", + "C16EA1EC8A70B5A81FAE8233631A26B4C89D68C88D368FD645DB4CE16071443470ED0B5C0E80B6C1EBF86ED343A2C752975E7F7C6F69B6EFC9870423DB6E462B") + test_fugue512_hexInput(t, + "C20D9DF2BDE2A07440F3CEF27678DD8EA2EAE514F83A125D17B16E5DF271FB8DDF501743A7D2D70357D0579796D93B6A3AE50076748A", + "74FF2A2BBE40D75282D79C9917D30AABDE9E59A5D042CBBE7DFDBF45522E17346A1E888DCF59E7E7E7E64E37E6D4516E5197342822F4BB0A38FA2DAF2673EF44") + test_fugue512_hexInput(t, + "2BD0750A821D81E04E4BEFEE42E1512CEACEA39651EFD2F4CD3B2B0783CEDA02C0A9D7C83A7F67747DD3A1BE9033660255D07A81855433", + "E593E76A7F19C05385BCA4294FA9D2F5ADCBE1BD789363D8875A0187B346A0167936BAF99999413CA7AE228F2AF6CF3950517A1AEA1A98BCB348CE403D218C06") + test_fugue512_hexInput(t, + "3FAB20AF7F2287AAEB2748386A931AA3FB4A45C5B479D45F356C5F4A3A24F246A5B7E3FAC8A08CC2F072B8A58D464EC4D1E93AA161153F40", + "56FCA0631C702A823541B069FE45560D1F6B14C904031218FBBC2D932549BA46E723BB995C599AD64B42C46A776A3D26A869F5B2D5B3CD08DA21F5AFD024FFD0") + test_fugue512_hexInput(t, + "08556D1E2C84B0BCAFC4F7BFF113B17B87D4D7BADC796E35B6EF88A8E96911A8D5EE351ADF6FB8E3ACBC920ECB47D3D527A30CCE77D5997074", + "FEB2C42E2A51B02B4FB76191FEEDD7C22B88AA352FD30016FB3E5513125E9E55630FB6B2CF12E78E3AF90132EC69BF3CDD902F690D4F78998C984323B2AFE7E4") + test_fugue512_hexInput(t, + "FD862ABE910437D0B189646501C096AC7C03E6D7742F5A049DAEE07B0CDE8EE95578D840D8C88F07FE29AF128326721A70131860FA0F86260572", + "5BC86AA2A42339E27D88441A30954DD9384E6DAE5C782B9F58BC237DCE012618F697D0D5B9BD78F78EA79083B420BBC7CFDDD53B38A259486D45C0961836EC44") + test_fugue512_hexInput(t, + "845C5775198200C88F1BAEBB283AAE14F0ADBD8E2F239D6A5FB6B8183275A05A1353AE20D5AE6DE5A0341DCC9E162DA9BB2AE5F5566CD0E643DAD1", + "93880AFB3F007342354267E8B7550799BDEEBBD35B8ECEFB6BAAB7974D1531269A25008C32629F774D27B1CF79547AD5F44D5D373152EADABEC9AA7EF7128111") + test_fugue512_hexInput(t, + "FA10D1169DBA9CE55974800DC7D2AD5F42F31693C319B61CA2AAF53C9E41F1C8376FE9F1FE34A31616C386F6463E2183E43AB2DE88D3B7778A0F37E9", + "A7CB9E361369A3275621AB43B895E77E379D56F754B788F069697ABFD3DD7769EA54B0BDC37F838A146C267321BCFC5E75C4DD640A5B1242A13E27B16DEBF61A") + test_fugue512_hexInput(t, + "8471A3747A7FFB8488D9DE8E3C0080D95CECD56C0C083FA8F0F1901722E70463D686007830BFD9914EA27D9E8672A4621DF72F70C182FAC47F7A18C0A5", + "B1BCEC6772926891592E8A02A6628D3666236A708FA1D6D31C7C6DB8B5AEF4D550005A6A88F349E310000FAE1A8C0B1F8B32C7E81042C37F269FCA42F81BD977") + test_fugue512_hexInput(t, + "F0E422CFACA36B3167D485E086BDEC8E3DCCD5FC3C10D12565AC9EE8237446667781B09B22F5807FD95A35E4F71B4623103F33A45C221E482F2F76C59B82", + "872950F5E77EB6477F1444FC74388C2CFA6ECB4BE67464CC124AF76819DC81A9476C093C2B0283BBEAE54EA25CDE3B1753A5655893992FE084E64690830BC0D6") + test_fugue512_hexInput(t, + "F1F45C8C41D6B06FC5DA2E6242A6F966EAB82447BC38D38FC50D1B61D29017AD0DB36E2C39C5FB2985AA495F265D01CED6EE77581A72C528FE78288940ADF8", + "0B1FDBBB6ADAA1F1B15B3BA93579C15239DEA119F6FB6EC191DA44A55C48338E2E25845BD85ADE2DB555001DECDF18C7993DC6F9967A35F8D1EEB28855F8D6BE") + test_fugue512_hexInput(t, + "E52397A1D04ED8EC1CFB4D8F7A8566AA28DDF8B6F959D460D47A3A5A06B655BACE1998E4250666361F2D449264AE41AABA9341C50A00F3DE354C1468E408CAA4", + "4F566883897DF434D8EBDC0E2E486D755B721DB582AE1C0D118C407A89C185B51E90DE47F3C96B72C9F92AE9CFB7BD20B364E2A377EC8C77B6C40B137BE2E80D") + test_fugue512_hexInput(t, + "C7F53D4268E90A7467FC63F2D6DB6C471926BCAA0886E683384F30E503743977F2B631BB30C17FA7ED0A40DCDB7D6C83A66D708ABFE3152670C70FF8124E544F29", + "A1035EA64E0EE3E92C6F40EB7F0441B5B0755D4C8E822EF5826172BBAC3718C2A01576B8D99E953683A7E0E41655257BEAA85333CCABD4B2B2C44942F8BE4359") + test_fugue512_hexInput(t, + "1B04739AC5A46587ECE1DECF28EEB24EB00B4807127C5C81BCD681BCFD24AB6C2B2FC70ACEB6B4FC0011D16D4A2B0E30232DBFEB64E5D15606D51B87F6B5A1A2820A", + "5201882A1C7E3D4F92E0ECB7228395FE85163808E209CAD700EB40288BB47D788E65270EF0DE1F45F62FAEF604CBAF3CFC682A79D30DDB2CCCB8DD25AA74CBA1") + test_fugue512_hexInput(t, + "30BE19122C7695528912302DD1F2E8F8E524A4175495F404D39CEA059D9F791D0886E5F6628A68489FFE441673E901DD99C05F500118B5B6697D344E8F4FE3BDD09EE1", + "BE3C0E15E0BCA6405EE885EE679A986B2970ED3D92B8C12C152B4789CCD47D9661B2788BE5677959C4848076B5EB24C2E3364CC395387C63EA0793D98A673C77") + test_fugue512_hexInput(t, + "63C043FC01907D8A54C9531A1D9D9E7F7D7A3AC87722057C0B414F40AF11900E3816CE3B218CCB3052E8C6F39197E41C2C997AF035B5F1C8298B1F71351F83C84CE71160", + "76199F5D262C76D557B6078E92A60E45B7A36D4E5B712A551B2944F54D71817378C09A73141DD1CE11A735C890471BF201974F0627E82F4B5EA8B99CEB9F277D") + test_fugue512_hexInput(t, + "CC9D645E92CC879052B58DD9146077EE4E69909334B4098A246E48EA165BA8488E6D72014FD605C40064CAFE06022E47C96A589865BA0DC365AE78AA4AF7EFC046DD9A42DC", + "7664D7A29BAD94AB197280E69AA83A605EFEB3AD1C3448CC3A3E6A8F0C6C0FDA0A352C8BC577341227787E7D0CB5DF5FC00D580995CB31D57976C395ADFAA5F6") + test_fugue512_hexInput(t, + "B0307A008173E05B6AFDCB861B3E69347968BF531D1899A68ACB4485FB15BE87032484BB49311E7E4882C0B02E88D14F1C1C5E3E44C871ACDB912814D3F29909C83F73496093", + "0F2EB726F40167D00059C081D099ED9B22EFE32CFBBA6A683E6D74E396500CA862BA29559E0595FBA77CBF3C3F79018BC79CD504DE697417AE847F99F34348B6") + test_fugue512_hexInput(t, + "01162CAF610900BF38B2778DEB2204EF688BDD35B43EE8071FDBEDCB116C869DD6687790BD49FA0A70F3B33F7FA1408E366D391D096A743B353213D3D11A780F1C02A86D088A47", + "B914094B1CD85E6A16143CA8B6C879F5480ACDAA712AD5AE48D2E30E9280BE4ACB63374C47F4E9D069052B7B85C090A5B9A45A310B07D6D02BEBA7517B0F8586") + test_fugue512_hexInput(t, + "6AFD0401E0E224D172DF6B13BED12F3643A9BADA58AD25F018B257F08833066B9E0E60F7516A35986049EC668036427A959809CC28D21195921DF920E4AE630532F71BF21492C57E", + "BFF7797EEEE0547CE33236039CA9A55B4E9B488480AC5238C237E13BB36354F6D63F9E66329E8451934EC9EEDAF7C0FC6A2F2ACF9BEF01D62384C6A8F13EF741") + test_fugue512_hexInput(t, + "39721978A395EDBEDCE0A33B09D84C4BE550FBB5603AB936D26CDABC8E8D810F74BB11ED3210DB5E9B0E91D888A51110C8BE523B10CCE3CC946C8F1ACE3041A8CB63D863E756E78D8A", + "7DCC211420FB6EE5544358A1CFBD5E7648472847FB62231FFD6AD78D81629CFEC8E7273665C82DDD557093395833AFA8D4247F721685F564265CCF6146A0EBEC") + test_fugue512_hexInput(t, + "78A243AE91F14DE0B0B13B81AC825CE588944B63784F74DB403DE3543F55A8C23BBF4D64BF7E91BFFA741C19164B19E40E9FEF09F66B90EAB279FC11A8F8ADB1D919632465963D8D5E87", + "A927DFC38CA935DFB4A5C10AC7D5824E5125026129A707BAE5B8CA3B5B0E72B15A156BE872B05337BBCDA3A83796B07EEB765F737D35AB193F00327B6EAA87C4") + test_fugue512_hexInput(t, + "4467955CDD7FC6CC3547501292247186D87829C721A700E9E4D65E613780A873E5E6ED3BC5F76147049F74BE482D86CD4F85F7459C14A5021DB3C1185D466858C74F7A72305C8AB1ACF33E", + "F19C509E646A911ACB51CEF075D9908213EDD803015E81836143A989134A24CC88064E120E07F4C8DD36898705A41A40DB33AF8D37726D46173A8691B827E014") + test_fugue512_hexInput(t, + "4D816D0BDC25FAA573CB5E5BDB4F5C11DD1AD40F070542AA194107C0BAF1418F1C348FA2CB2FCAB5E56CB98666BBCD605D75F40A7745FDB86465A6B4094098B2B00A383C3837BB4EB7519C6A", + "EA12BDF2031FBE3502566D6398DF8303583240436175241B56E1BAE24F6E6D9749A476D98A7393F078CDA94BBA8075D0D7A952A7FE850A84C78E61E9A3BECB97") + test_fugue512_hexInput(t, + "7DA6CCAC50478B250E5E75576CD4DEBA5C82AA63F675AB459BDAD9F5E13A2080E741863B068DED040CAC74A2835BF23E2C9873DA6CA2D83753E624AFF7E3BC1A305F43268C1C7D08B919F11F0C", + "972D24906D7646206FAA01BA14B70DE7A6A4E9C2A5EA72A41F8E013FE15B3B02C6982AA6E53C1A90AC0E8BE2F1BF845E0701581B299397534B98478AE6F2156F") + test_fugue512_hexInput(t, + "6BC8682882553A246B3D8082B87E40CD1A08CB825AD6D3E27443491234415AC542C1E09E70815B6A9092482C9F955238BEDEDFD422526A316930AA8204A9391BE6BA42AAEA43A91695160D10AEDF", + "79E71E0D71263BA8C3226AD78E9B9DFCA3BBD7600FD594B9AC98EEE564C485143C068389EDA24EEE2458E4A0B2069BDBA3FFBBF22F6C8C07D31D58701FAC790E") + test_fugue512_hexInput(t, + "1240BC0FEFCADD940BEF2A4FF8046AD69EECACD8BFA9B46523AF7A5630F58A8A81A7C64C2CDC7290133EF6E081B1162E561C026E66AA0CBA84DA9258564EF61FC551299DD1CEB6CE70E30CCBCD3E81", + "EC9CBF78088CB4B2EF69E49C470786E669293203BFF0B6B4A35668AC1E43840246146DC89E1EAFA9D317F26E3D6F9A75ED06C99725D6D06FD0E186DDDA4D75A5") + test_fugue512_hexInput(t, + "7C0076FD7534C1CF4E0D1C76228D6B6B0FD57E2E49D9BEB0494674084A7ED4A109FE5ED84DEB892F5B4EF4F48CF6139CFC69FAFE40E95C83825558457B4408A3A31C427AEC7A77958394699A1A19D0D3", + "D2A6B5DBC5B7A5FBAC283EE229E2CB1BA151B282F81DC1B10736966C1B0C5219863B4E069FA7E5CEC277647D2DCC62E0A88DF553CF43B307A39A74A021B14D27") + test_fugue512_hexInput(t, + "F909520F87C12044184954B64B2B4A26543CA192A2A15B631468E0D11D1A1217875B1C0C0477379A8465B453A6C3581520F32C84DE72D9620370EDDE0B8BC4981387479C6D78D6161B8CEC198AA2FA001D", + "0B3F414E31E10A0B0F3867E606223828235AA1502B90D3E28F2DAB1AE9A6B9940BC0E08661A085702604A60C9740C1811E3900DDEF9258774DEB5D9CE7827E83") + test_fugue512_hexInput(t, + "39229915362C6555D8C6ECD691B586EEE5EECAD9607D1D6F8BB0DDA29075D109507A15315C147BDB6750918572668551709EF41B21CB8AE3F4B527776EC8445DF183A3607060677C7FA10F8C898B6EF1BB9E", + "1AF0B094C213B97C815893E873CF36A9AE1CFC1C1D027733A07F32EE6AD3A812CD1CD5A5B9BE59FD79126A56D2788B240CBD0A0080E8076555EC2B517D4F0BEA") + test_fugue512_hexInput(t, + "F0720797079F8187D74A4C10DE87FE0E8B73055342B2AC50931AD380912F0D0CCD3D36915B1957137D42198062E662761D6A362BDD2CE4F93C59A2C5F4744ADF2C5E0BAF10209B0DC29D87FD42E45979110354", + "366D977542CD9DBECEE222C1DE982D28A2B7E8B7B4198FCE6F990C5D46BBF19E9CDBEECF5F77230063510465FC5F8C4BDC595A3645D01C4439D037EF37556801") + test_fugue512_hexInput(t, + "C1DAC5D58299CF7A6C8B5102240C710AAE985DC53FB8EC176EA2CCF457E61737B68EF0F2F9A09876DD17BD5D760521B57BB3301228BBEF8F3AADDB3B6F763C054865C00327043B220F9A6DE1B92648E156550561", + "0ED80573606D5E1D2329C206B438E4C1711E667B5FBA1AB034E4CB786D7116577E7F8E28B6B16AE42C14F5B2DC8598F8695D36CE680A0FE32D738461F233335C") + test_fugue512_hexInput(t, + "734B9E76382A39E53B2AC05254D15F599B2380813FBFC335683231148C897DD4729EB771A985E6B12BC58994FC908C899B4360A8A147235B13CC9FA27F0E27AA4322F5EC82B5AE9959E54FD4F46462E6FCA1CB06E8", + "73F90A8E57DF478C466BCE3B4F7F06176A4CC6205B0F954C845ACB4CCE3871C03E0F19737AE8AD5D34F793A6B1F8A5A1CA4A791FBACE58236C0722575FC2F89C") + test_fugue512_hexInput(t, + "290C862C88801E121DB65496310869E12625DC5B761235DBA2319CB7443B087B94BAC8450DBA05155903D4BBE2A7E148B271743E404D453275006F363A5BEF4CD505ACD42CADDA6BEF96134782807406C9734873ABB9", + "C42ED39BE6E497F4801C81980F4442B539E6169CC8EF7C11709B0944D20DDED504F8DD80EEDA23EFD1F52A42FA48EB4861028CBEED1B13C33C4CB47372F3C92D") + test_fugue512_hexInput(t, + "2F99DADA554C7B82E37D86F5D049846BD08C44DE516A2A3967C92BE700907B943D44CFFAFDF643F9C97ECF828C4D82ECB459D80F24B6F57C4883069C144BF253CB1EA8E91064B2A28FA7BCA0D3FD3E0F2FA2623B9A085B", + "F55039FDF3E34C0D077E0D7107B9904C7639F08EF7D764C5CC220770A01A5F71AF2F0AA33106CDE6D916C36856EE1EA71BEAE7C6BA6C0F10EEA07ADADCAE6451") + test_fugue512_hexInput(t, + "84F0D96845CCF8E1BBEC88F1F7FA14AC622011C046B323D0B496BA0655D5FC45E85D92B4D90F11E4E7956FE935AD77E03875DC2D9553AF99F79F74491A2750B8BC92C1B77B43F65513BD61298CBBB44B11A41A189D2B4FFA", + "B27385D547AFBF3DE47B4256FC9BC9EC0EF69309E3B5FD849D0CF0D6169F0726B479FE1757E0DD0D3CEBF573967A5DBCAD7B1E79D6C3CA4ED00A4D6CEE86CA02") + test_fugue512_hexInput(t, + "403D4731DB4DAAA6983FEC58E7488EB080C3A3F7481E180BCBEBABD2E86AAA4F7E0695142CEC4068E46DE1BF6D6C12F317A23C64A6E39CD6D49941350F06210BCC4682CA63FC6B396126FDB1ECF39382B34547C8994402489F", + "978E5896012FADB410E9F8B9CD9375BE7DB39001299BEDA87678959F385CBDE83E80BB7182A1AEA1922D9C8F5F4A2C84D6915FE540065F3F669348DC17923A06") + test_fugue512_hexInput(t, + "2BC93D4931D0E662EE8A4B8EC6A32B0601B337E1ABCD0A65675D3798867589F71D1A5A27F33030D1A594DE1CAAA9D08B3D9C470B1136DC8DE0F171164B4C1483B6AB1B88BA62AF90BA6ABBAC74B4849F53E44C6BE3C27879F34E", + "E9D036EF55720A51157BD0B7D75A6B6ECAE724556702D0441BB4D8495538DCD6BF7A065112BB176B89F4B5FF6DE604CE2B08F4300A4606F516E46887CE19F8BB") + test_fugue512_hexInput(t, + "381014322786F14053C18209D25BC6E58BBD2FDA91D948317E1859D07CD2A8C2DB5BADF48CE734C119927AE11A9AC2C22BDB4D490AE49C5F2AF666BA814C4C14311365E7D509A2DFF8033AA309503A45F0DABC958D53F2B89A15D0", + "136CF4DC303141F0C7EBA26F47E233B960DBFCCDC249CCD18CFE0A798834FAA532F5214DC05AA17ACF9A5CCD5D91972CCD6484C0BE81D9B729369878337C6FD9") + test_fugue512_hexInput(t, + "398C7E2A03C15EFB88A8E6C6BC79196DBE87C057A3156EF594F0EA517AE0162165CC5A0479EF0C9DC4D809C13EDD5457D95402DC7DC9ABED58A4775426F8FA10823F443E6E89E76284DA2889ACB199067210DFCBDC024B5C6AF52A77", + "0B2D24C222B804BF8C9F65766827788E9B6669D337A09C511B7A03710A3D2A5832160496918607C154533B4514372349EF3D5424BBEDF6237E5355BC7FCAB255") + test_fugue512_hexInput(t, + "A97898B2132BFB9955D78853E7D9061F49C0021C8B43BC824A2C6CD211850B341F3C04271B60BF0D17AE146B38299E751E53903421AC7B55093A4BB68C24E1A37A8F15DCED72286AC36F4E27004575D09E4A72427C91FB43F5DB2FDA51", + "FD45E49DE240973616CC683B014F108C1910A4617E1E808EFFC334D81CBB9D7312D14CD44E48D2A20D5A08D6D982021D2D833E23CB3A7810BD551B3E9C4008D1") + test_fugue512_hexInput(t, + "41FAE87D5E644CEC8F3AAC7F50DC0DF74A048D092997433339413AF30A65E204D03661D1570FFD62E5C47D8BD0338D2FD02B6165D747B86AF4121AA08E9BD163F3A78FF3BDF6CC5E94CE19B38738094896A309A1DF5329E3EFAE0B659D5F", + "FB2783EE11D069D58371C50AF87C4F17D0A904176CA11A4D8098C4183AA845E098CC5BADF398A788F14DEC9F483FEFD1E7B8EC9A3C34629DF8F0364E69323586") + test_fugue512_hexInput(t, + "05D2161A9202AB60B235CF85CB8AC25F3998EDCBFCF5A4FC36F3EB44EAC8F3C8F1C4D24DF518FBD73C9C34330C5377D92012AA477F1F63065CDFA4FA289EF12D5070ED7219F757C05CE929619E1A7AECCABCB5D6B6E87295CE298EDC28249C", + "D9583B39FFA521DF35747BD99317D78071326F1AD91D13E144CB35DA33338523150AC88D129EF41FB0F54C06152A39ECE134F7DD05716E561AC2B9859B9EEF8A") + test_fugue512_hexInput(t, + "03E6EE70A1F2B3651E21E549F264E18538F721509F3458A3293A98795747F0E54CAAC43EB6BACD4CF3560353E69F3E5E6A829F8144A716FB512C7BEF824887E9D59ED1F5D9399499D8415103B5B734EF02905E24D6D3EEFA8F2AC14550764F77", + "4FE99CCA22D514B14D88BEA9605FC85BCA43F1D744F62D9F5006AB4D3713E85CA1B391811011DD113503CAEFAB92D967B3B49AA3A539FDF802CEFDAD0700958D") + test_fugue512_hexInput(t, + "A6A1E154712D79C8C0E8F485C45965A43D3406613F8ECB7FCCB46E078423DFD1022C5041B125D224145A8297E49E2F18000EF22259E78BAC4A46B6409504A8E1589DEA265B501BD6081B59039FB745250FF39E83D804BF141118E0EABF33ABF8EB", + "F51C9B78E0EC1F5619B60336C3D5B19A7863874A41A4209B99E00BDED13753C149B24FEA9A5E9B81007FB85E223B71798F6DFCAF968A76513BE929E1593A8214") + test_fugue512_hexInput(t, + "28F8B560C26B29DE7508AD0003AA96C65A5EE22E603FF83931262390FEDF40F0B1A9BB3872652FD9FA899C8F1699A8E0BBA93344E13865980BD2F6123C38B4D02E6681505C8DF47641B7E2EC71D758367D0F753F3241882A29B551F48CD639D1284A", + "2B2F36E666FCBA6E4B80709276A475310ADFDC4CB1E32451B9641345711AE6B04E112B89CB2B67E70C78F87453F6625E883055FD5B4384AF8AB142B08D5E7930") + test_fugue512_hexInput(t, + "850CFE92C74DC20F73F94D1DFAA0344E043716C5E3E1699601C024EA9E010796035DE9C81363EA215FBB44AFA1195202711D56DD1334B517F419937ED819F4A4D2C44644EAF19F66E7AF8D2BF1578069BFD8E216178F01B4914CD529F2550770DD602E", + "171A9734B312B3531338B8E158F82DCEDDBE9229A8F1FFA43A136B70BE2072C9CDEA3B272E04CE5E90C7F7EC07F2B4CDB8F7CF1FFF30707B75110F07B04DD0E6") + test_fugue512_hexInput(t, + "891C6E006118061FA076FAC29FF13346843176A36ACCD7377FB460BE3EBC7BFCDF8C256BEEB969B7E65F042867CF35516EBB01C3E54A3892A72D1863CEDA0ED78B024EE6051FAC4F8003CD9AC3AFAEF9B183DBE6F076560ACA4D7E09654C72E9EA28C419", + "CE2AF573F0C282124C65A9977CD34AB926503A897F57AB8F56A0BAD8C08C327CAEB6FA62643DD9C5A205792E3A6A3C8F538FC04BF35B3CF31DC02475B6584F81") + test_fugue512_hexInput(t, + "443FF87A2CF37337C760A880A8EFEC3C3DAA8FEA945E30F6B3D49A0334DAAFBFF8B7B7D6D08DABBB094814201E9FC259D0E1FCE3B0E3F9CFF02D3F688F425C81BF6EBBE5AB5DE197180EBEE7F76873624F85532EFA3660BD5C0D18C852B7DDE8E024EBD797", + "744A3815DD2967D8258927B4877CF4FF6ECE1E6D8FCA400ADF630AAC1AB64819E80F78BA24A9576C97C512F36C41D7EF1A32F3FBF6202C660C72B5C9F9997597") + test_fugue512_hexInput(t, + "1D76F64A2F6E1CADB0DE1FED12D6869A4DBA2A7495D8CB153FE27D0BCF4D1A908926ADB6FBEE3C900E259E9CA6C3669958505E64CDA584099DD9AA21B16F9E22DDCC0502CDA37C5DA681AD13BC5AE6A68C6775CCEEA1DEE9BC1859B4518651ABBD0043FBE924", + "B78A653BE3B0285745DE53ED212E4BF4AFE8932258F390DF0C0D20AD2D29D7FD9A42881283A7C3BE50167D298014820AB4AD29EF40EBFEE7C240E3DA1EC9338B") + test_fugue512_hexInput(t, + "61A4DBEF749834ABF11A530A96BDBC8AB369C9E76B4F2C251CAE61BBF9C44E767002725079A842BFADFC0BF2AF3897DEA39880F960EC1AAA60EA7000B23C99486DFE39D9D16EEB4D78E43BC668A0910C097BF3BE5C96F5495692AF5518EB94E39C3EB46A8A3775", + "BF985EB1BB0069C84D6BCACBBB8E3BC97FBF1EFCC3EC907BC1E1F1DDAF00E7563FF2C24C634ABCE6AAAEB94F99A5D13F4531F3FDDD97F0C1E50598C622D1B24A") + test_fugue512_hexInput(t, + "8153AE28CE783E1930AF3F48DAFA8BDFDB6042E4B19144F5B272562C05E58FF572BA030174FA94B518F02FF8E52F2B3F989A6D1FC8D7A079AE083ACB0BCAFC79CB30DF2BCDD3394F850350090AECD7DD69996FDF799E5D603D868779DAC97E7A25291989F12DADE7", + "1705DCEB6D3DB8F31F2EAE963BB0CE261498433C096ACB0564240605BEE1F368E9F47C224043F00900B47FCA496088EC1115F20CCED532FB96587E0F80FF7907") + test_fugue512_hexInput(t, + "A1D2143A8DD5DFC9D5409837129AB0DE6B835ECB871B3A06F307BE7E050FA6BF04F830463D5606AB2517448E9DFD6DB6B49C1FB59C668B8828388DC6C847CA683CD3ED4E040C85E92F8D5050FB192128BAA4B34F6402884D6B1038DA9F0C3DBE15F7B0DBAECBCAC0BE", + "C495E070CC06DB0B79E677DDA5AE8B6A55383AC9357C162C75F8280663ECF42F5FEA2FB2D49440A37DE7EE4B604FAE1818579C7003947CEC44A63CAFB72F72C7") + test_fugue512_hexInput(t, + "36699DB559338D070BF86D369CD1E484566DA859A86E4F80C29DF258E3D9C8D4590A73BB0D6A585B3E07CB361305C9CAAF3392AE8A8B968F4E13FEC356ED6D3CD768F4C10BCF39745FC616A7C3F3980DCB6AB365A10774A85349F834958E2455B4AB0BFD4CF82199F7D7", + "BD81136624E6D1A2921B1C0EA21A9CB42EABB1B7E044B0098275CB31775B5F2758D6D887D584141975905B922C70E7434EDB796CCF28E78FC461829103FC1F75") + test_fugue512_hexInput(t, + "D41C7D92C0EDD18BF36DECE52AFAC648ED6D5CE65312A0196D4FE6C8ED15C9B6593DCA21D60DB45939B444E3979ED653B0623D026F69309C4273E5E68FEFDF99DCF14CBF857A012AA36473F78805B04574B429A4FE09FCCC820BE6315E7D3C0ACC6B4E81DEE68C2E3E70F4", + "47CC969F20F719B0D8FF80DCCC8EAE988148CA2DC6A3D8DB9C114A60BB6D269F4C1B122A178AEDB46331B77A5398A97A26D284802DDC5BA7E9D8DEF668A5DAAD") + test_fugue512_hexInput(t, + "CF767BADD75770B4BAE56BA022933E635B32E6114EA7568469D90FC9AE0C942B90B14CBE8575D9C04654AD3FB83704AE5735786F1CEBB927DF84649029FADA790B20A3149F8E8A7DAC09B74DB8A6C10334F5589ED71A3CEF2D0234DD0C2F7AA617E4DFF2D70446CD5371721E", + "AD882E751EBC7EBB17AC81B5E2AC6478CBC32DBCA91202D7877F91710DB67A7932E8F0396289E723AC03434546B2603AB51CD582F402CFBB364E5E43ECFF5254") + test_fugue512_hexInput(t, + "2C0A6384C28CB8A9245387A7132051931CC7D16FF543F9A1A840AA7571EF95E73580B5E561323CB39B0D9F92F243A1E47720140A2E21D6BD94F4F9F65770DAABB4B894D202F837FE70B104F843AFB889784CF4D3F63E91C2C2EC8DBB8B83BC6022A5CFB6A731095DC88D8B2A95", + "10140239565E40B6C60490863B992EB932242A2B5F16E401D66A598074C9DBA26D0706CE6DFC732F0A2BAC8D3321CC3A83648F025D2591B5108926D1B6B9C158") + + // from fr.cryptohash.Fugue512 + test_fugue512_hexInput(t, "cc", "2ef4115479b060fc64a4d6f6913a39e326afc81deb4e39d71c573df5ed132200e7c784bab1804930cad16847f16cbda59a865bbd928ebc17d33689fef233c10b") + test_fugue512_hexInput(t, "41fb", "f42d0817ef7fe50afec87cdd1b934d16bfb575df4feda7e65d09b592b0318920d9b1d1f89bdff9aa4c6ab5f058d692ab0d5d431e860f6ac6be70f47ab124abd8") + test_fugue512_hexInput(t, "1f877c", "deea1a90bf692f13974943e0ceeb551cf94903bde784278fb52a2b61750d093ab4eb662edb36ffc3c184ce753621173928e5fa58f7df7449d8888a56f238d936") + test_fugue512_hexInput(t, "c1ecfdfc", "016a26bed81a1af68dc64e4089878b89c660ac5faa61fcf9f4eda88b5fd62e4786b66e295b94992887e0bb95bf802c4c35aada89d5c2f77ecc4d6fc7546114b6") + test_fugue512_hexInput(t, "21f134ac57", "dfed15e291c38285ab66277bd772726f63c07080111571932006c3ab7b448414cc13402d3ad25eb75021826fe8fbda01c390db1fb26f282c831e9e72d0d54391") + test_fugue512_hexInput(t, "c6f50bb74e29", "172dd6328695a30e9dbd7d6f805b43836f1003c242be47d95d83a4f0a7bbc6d7b0e84697002fb7707fdeaa305c60adb56a6a9b25b227a3fe16cd6602742f5125") + test_fugue512_hexInput(t, "119713cc83eeef", "dbe9ea70da3a77202beb3398ee457aa4898e4b4b5cb76e14088bf95f1245a5864c07898662db493eeb2b497e77446c8886dd9b830641d6e1b57e6cdf7c797a24") + test_fugue512_hexInput(t, "4a4f202484512526", "90a0be0248e8edc3402fc2322e6c8e7a9d7e4a2752f771ff7d8baed84320220052388f19577e13335290f1e7fdf3a24fc9fa332f6da55e2b75744972809048be") + test_fugue512_hexInput(t, "1f66ab4185ed9b6375", "9f3408b8ca6fa07e7c760c86d237ecc4be7beb5866fc18fb8d146e57d2e96950f77f634c3fbd4214618a49075fd70573dcaee15c05d8d5fb71e82d33e5df88ca") + test_fugue512_hexInput(t, "eed7422227613b6f53c9", "c98a7a5c4795a41d2c8334f97f58e6f00d6c69a46b22ef36e09412347d5756b142439d7402f1f528a9060c022723a644f12c7a2cc53512edfb0692d24774cf21") + test_fugue512_hexInput(t, "eaeed5cdffd89dece455f1", "5aa080d029dc20bebce3889e9bcde9346ec7593165b18f18979defa6f7285c6928d1bc443774aadf76f192f2c1938311888f12f60b513bd895807b6a37ededf2") + test_fugue512_hexInput(t, "5be43c90f22902e4fe8ed2d3", "f0f44737795ecd12c99a88befb62637ca1abf82d2d600c03c98c1bff97ee922df1d94ca0e54f7aec6e2b59da400d4b5c666980e3cf46952a9735624037a7b7cb") + test_fugue512_hexInput(t, "a746273228122f381c3b46e4f1", "83353c99afcddb4af32911c01b2724bafc1c433c3b5d3e89ceba512d655425a0bfe20bdd787e784065c177158d8937a39b8e26d9f531b3164d077059a6021291") + test_fugue512_hexInput(t, "3c5871cd619c69a63b540eb5a625", "5707b902292411e8bc8b63f675d568507f98ca3c0dcca18ad72908bc2e2aa9bb9f3a9349867a6badf71bb55f2612e9f59ad25d7f00b270ed581e065089b90812") + test_fugue512_hexInput(t, "fa22874bcc068879e8ef11a69f0722", "fac660712af881891ff7f9d8eebad3d7cf83c1f7ee2fa393db4aea68cb2521ac51767606493cd5710ef429008fd248c6cdbe9b8e3bd9240da2de653bdbc0098f") + test_fugue512_hexInput(t, "52a608ab21ccdd8a4457a57ede782176", "4d047431c2f0c6bab89982425138a86eb042f72d59847d13c8a3cb6541a25b31383704d24c0133edf675f4011566debec0f14ccb65503056234bb11bec5e58b4") +} + +func test_fugue512(t *testing.T, input string, wantOutput string) { + var in, out []byte + in = []byte(input) + out = make([]byte, 64) + Sph_fugue512_process(in[:], out[:], uint(len(in))) + want, _ := hex.DecodeString(wantOutput) + //fmt.Printf(" inTxt: %s\noutput: %x \n", in, out) + assert.Equal(t, want, out) +} + +func test_fugue512_hexInput(t *testing.T, hexInput string, wantOutput string) { + var in, out []byte + in, _ = hex.DecodeString(hexInput) + out = make([]byte, 64) + Sph_fugue512_process(in[:], out[:], uint(len(in))) + want, _ := hex.DecodeString(wantOutput) + //fmt.Printf(" inHex: %x\noutput: %x \n", in, out) + assert.Equal(t, want, out) +} diff --git a/crypto/x16rv3/groestl/groestl.go b/crypto/x16rv3/groestl/groestl.go new file mode 100644 index 0000000..ca1bb33 --- /dev/null +++ b/crypto/x16rv3/groestl/groestl.go @@ -0,0 +1,647 @@ +package groestl + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = uintptr(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(128) + +type digest struct { + ptr uintptr + cnt uint64 + + h [16]uint64 + + b [BlockSize]byte +} + +// New returns a new digest compute a GROESTL512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + ref.cnt = 0 + + for u := uintptr(0); u < 15; u++ { + ref.h[u] = 0 + } + ref.h[15] = ((uint64(512&0xFF) << 56) | (uint64(512&0xFF00) << 40)) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + if sln < (BlockSize - ptr) { + copy(ref.b[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + h := ref.h[:] + b := ref.b[:] + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + var g, m [16]uint64 + + for u := uint64(0); u < 16; u++ { + m[u] = decUInt64le(b[(u << 3):]) + g[u] = m[u] ^ h[u] + } + + gs := g[:] + for r := uint64(0); r < 14; r += 2 { + gRounds(r+0, gs) + gRounds(r+1, gs) + } + + ms := m[:] + for r := uint64(0); r < 14; r += 2 { + mRounds(r+0, ms) + mRounds(r+1, ms) + } + + for u := uint64(0); u < 16; u++ { + h[u] ^= g[u] ^ m[u] + } + + ref.cnt++ + ptr = 0 + } + } + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > uintptr(ln) { + return fmt.Errorf("Groestl Close: dst min length: %d, got %d", HashSize, ln) + } + + ptr := ref.ptr + cnt := uint64(0) + + pln := uintptr(0) + pad := [136]uint8{} + + { + off := uint8(0x80) >> bcnt + pad[0] = uint8((bits & -off) | off) + } + + if ptr < 120 { + pln = 128 - ptr + cnt = ref.cnt + 1 + } else { + pln = 256 - ptr + cnt = ref.cnt + 2 + } + + encUInt64be(pad[(pln-8):], cnt) + ref.Write(pad[:pln]) + + h := ref.h[:] + g := [16]uint64{} + + gs := g[:] + copy(gs, h[:]) + + for r := uint64(0); r < 14; r += 2 { + gRounds(r+0, gs) + gRounds(r+1, gs) + } + + for u := uintptr(0); u < 16; u++ { + h[u] ^= g[u] + } + + for u := uintptr(0); u < 8; u++ { + encUInt64le(pad[(u<<3):], h[u+8]) + } + + copy(dst[:], pad[:]) + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return int(HashSize) +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func decUInt64le(src []byte) uint64 { + return (uint64(src[0]) | + uint64(src[1])<<8 | + uint64(src[2])<<16 | + uint64(src[3])<<24 | + uint64(src[4])<<32 | + uint64(src[5])<<40 | + uint64(src[6])<<48 | + uint64(src[7])<<56) +} + +func encUInt64le(dst []byte, src uint64) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) + dst[4] = uint8(src >> 32) + dst[5] = uint8(src >> 40) + dst[6] = uint8(src >> 48) + dst[7] = uint8(src >> 56) +} + +func encUInt64be(dst []byte, src uint64) { + dst[0] = uint8(src >> 56) + dst[1] = uint8(src >> 48) + dst[2] = uint8(src >> 40) + dst[3] = uint8(src >> 32) + dst[4] = uint8(src >> 24) + dst[5] = uint8(src >> 16) + dst[6] = uint8(src >> 8) + dst[7] = uint8(src) +} + +func gRounds(r uint64, g []uint64) { + g[0x0] ^= (r + uint64(0x00)) + g[0x1] ^= (r + uint64(0x10)) + g[0x2] ^= (r + uint64(0x20)) + g[0x3] ^= (r + uint64(0x30)) + g[0x4] ^= (r + uint64(0x40)) + g[0x5] ^= (r + uint64(0x50)) + g[0x6] ^= (r + uint64(0x60)) + g[0x7] ^= (r + uint64(0x70)) + g[0x8] ^= (r + uint64(0x80)) + g[0x9] ^= (r + uint64(0x90)) + g[0xA] ^= (r + uint64(0xA0)) + g[0xB] ^= (r + uint64(0xB0)) + g[0xC] ^= (r + uint64(0xC0)) + g[0xD] ^= (r + uint64(0xD0)) + g[0xE] ^= (r + uint64(0xE0)) + g[0xF] ^= (r + uint64(0xF0)) + + var t [16]uint64 + var tp, ix uint64 + + for u := uint64(0); u < 16; u += 4 { + t[u] = kTab0[((g[(u+0)&0xF]) & 0xFF)] + tp = kTab0[(((g[(u+1)&0xF]) >> 8) & 0xFF)] + t[u] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((g[(u+2)&0xF]) >> 16) & 0xFF)] + t[u] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((g[(u+3)&0xF]) >> 24) & 0xFF)] + t[u] ^= (tp << 24) | (tp >> (64 - 24)) + t[u] ^= kTab4[(((g[(u+4)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((g[(u+5)&0xF]) >> 40) & 0xFF)] + t[u] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((g[(u+6)&0xF]) >> 48) & 0xFF)] + t[u] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((g[(u+11)&0xF]) >> 56) & 0xFF)] + t[u] ^= (tp << 24) | (tp >> (64 - 24)) + + ix = u + 1 + t[ix] = kTab0[((g[(u+1)&0xF]) & 0xFF)] + tp = kTab0[(((g[(u+2)&0xF]) >> 8) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((g[(u+3)&0xF]) >> 16) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((g[(u+4)&0xF]) >> 24) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + t[ix] ^= kTab4[(((g[(u+5)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((g[(u+6)&0xF]) >> 40) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((g[(u+7)&0xF]) >> 48) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((g[(u+12)&0xF]) >> 56) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + + ix = u + 2 + t[ix] = kTab0[((g[(u+2)&0xF]) & 0xFF)] + tp = kTab0[(((g[(u+3)&0xF]) >> 8) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((g[(u+4)&0xF]) >> 16) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((g[(u+5)&0xF]) >> 24) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + t[ix] ^= kTab4[(((g[(u+6)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((g[(u+7)&0xF]) >> 40) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((g[(u+8)&0xF]) >> 48) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((g[(u+13)&0xF]) >> 56) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + + ix = u + 3 + t[ix] = kTab0[((g[(u+3)&0xF]) & 0xFF)] + tp = kTab0[(((g[(u+4)&0xF]) >> 8) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((g[(u+5)&0xF]) >> 16) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((g[(u+6)&0xF]) >> 24) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + t[ix] ^= kTab4[(((g[(u+7)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((g[(u+8)&0xF]) >> 40) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((g[(u+9)&0xF]) >> 48) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((g[(u+14)&0xF]) >> 56) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + } + + copy(g, t[:]) +} + +func mRounds(r uint64, m []uint64) { + m[0x0] ^= ((r << 56) ^ (^(uint64(0x00) << 56))) + m[0x1] ^= ((r << 56) ^ (^(uint64(0x10) << 56))) + m[0x2] ^= ((r << 56) ^ (^(uint64(0x20) << 56))) + m[0x3] ^= ((r << 56) ^ (^(uint64(0x30) << 56))) + m[0x4] ^= ((r << 56) ^ (^(uint64(0x40) << 56))) + m[0x5] ^= ((r << 56) ^ (^(uint64(0x50) << 56))) + m[0x6] ^= ((r << 56) ^ (^(uint64(0x60) << 56))) + m[0x7] ^= ((r << 56) ^ (^(uint64(0x70) << 56))) + m[0x8] ^= ((r << 56) ^ (^(uint64(0x80) << 56))) + m[0x9] ^= ((r << 56) ^ (^(uint64(0x90) << 56))) + m[0xA] ^= ((r << 56) ^ (^(uint64(0xA0) << 56))) + m[0xB] ^= ((r << 56) ^ (^(uint64(0xB0) << 56))) + m[0xC] ^= ((r << 56) ^ (^(uint64(0xC0) << 56))) + m[0xD] ^= ((r << 56) ^ (^(uint64(0xD0) << 56))) + m[0xE] ^= ((r << 56) ^ (^(uint64(0xE0) << 56))) + m[0xF] ^= ((r << 56) ^ (^(uint64(0xF0) << 56))) + + var t [16]uint64 + var tp, ix uint64 + + for u := uint64(0); u < 16; u += 4 { + t[u] = kTab0[((m[(u+1)&0xF]) & 0xFF)] + tp = kTab0[(((m[(u+3)&0xF]) >> 8) & 0xFF)] + t[u] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((m[(u+5)&0xF]) >> 16) & 0xFF)] + t[u] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((m[(u+11)&0xF]) >> 24) & 0xFF)] + t[u] ^= (tp << 24) | (tp >> (64 - 24)) + t[u] ^= kTab4[(((m[(u+0)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((m[(u+2)&0xF]) >> 40) & 0xFF)] + t[u] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((m[(u+4)&0xF]) >> 48) & 0xFF)] + t[u] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((m[(u+6)&0xF]) >> 56) & 0xFF)] + t[u] ^= (tp << 24) | (tp >> (64 - 24)) + + ix = u + 1 + t[ix] = kTab0[((m[(u+2)&0xF]) & 0xFF)] + tp = kTab0[(((m[(u+4)&0xF]) >> 8) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((m[(u+6)&0xF]) >> 16) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((m[(u+12)&0xF]) >> 24) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + t[ix] ^= kTab4[(((m[(u+1)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((m[(u+3)&0xF]) >> 40) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((m[(u+5)&0xF]) >> 48) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((m[(u+7)&0xF]) >> 56) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + + ix = u + 2 + t[ix] = kTab0[((m[(u+3)&0xF]) & 0xFF)] + tp = kTab0[(((m[(u+5)&0xF]) >> 8) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((m[(u+7)&0xF]) >> 16) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((m[(u+13)&0xF]) >> 24) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + t[ix] ^= kTab4[(((m[(u+2)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((m[(u+4)&0xF]) >> 40) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((m[(u+6)&0xF]) >> 48) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((m[(u+8)&0xF]) >> 56) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + + ix = u + 3 + t[ix] = kTab0[((m[(u+4)&0xF]) & 0xFF)] + tp = kTab0[(((m[(u+6)&0xF]) >> 8) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab0[(((m[(u+8)&0xF]) >> 16) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab0[(((m[(u+14)&0xF]) >> 24) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + t[ix] ^= kTab4[(((m[(u+3)&0xF]) >> 32) & 0xFF)] + tp = kTab4[(((m[(u+5)&0xF]) >> 40) & 0xFF)] + t[ix] ^= (tp << 8) | (tp >> (64 - 8)) + tp = kTab4[(((m[(u+7)&0xF]) >> 48) & 0xFF)] + t[ix] ^= (tp << 16) | (tp >> (64 - 16)) + tp = kTab4[(((m[(u+9)&0xF]) >> 56) & 0xFF)] + t[ix] ^= (tp << 24) | (tp >> (64 - 24)) + } + + copy(m, t[:]) +} + +var kTab0 = []uint64{ + uint64(0xc6a597f4a5f432c6), uint64(0xf884eb9784976ff8), + uint64(0xee99c7b099b05eee), uint64(0xf68df78c8d8c7af6), + uint64(0xff0de5170d17e8ff), uint64(0xd6bdb7dcbddc0ad6), + uint64(0xdeb1a7c8b1c816de), uint64(0x915439fc54fc6d91), + uint64(0x6050c0f050f09060), uint64(0x0203040503050702), + uint64(0xcea987e0a9e02ece), uint64(0x567dac877d87d156), + uint64(0xe719d52b192bcce7), uint64(0xb56271a662a613b5), + uint64(0x4de69a31e6317c4d), uint64(0xec9ac3b59ab559ec), + uint64(0x8f4505cf45cf408f), uint64(0x1f9d3ebc9dbca31f), + uint64(0x894009c040c04989), uint64(0xfa87ef92879268fa), + uint64(0xef15c53f153fd0ef), uint64(0xb2eb7f26eb2694b2), + uint64(0x8ec90740c940ce8e), uint64(0xfb0bed1d0b1de6fb), + uint64(0x41ec822fec2f6e41), uint64(0xb3677da967a91ab3), + uint64(0x5ffdbe1cfd1c435f), uint64(0x45ea8a25ea256045), + uint64(0x23bf46dabfdaf923), uint64(0x53f7a602f7025153), + uint64(0xe496d3a196a145e4), uint64(0x9b5b2ded5bed769b), + uint64(0x75c2ea5dc25d2875), uint64(0xe11cd9241c24c5e1), + uint64(0x3dae7ae9aee9d43d), uint64(0x4c6a98be6abef24c), + uint64(0x6c5ad8ee5aee826c), uint64(0x7e41fcc341c3bd7e), + uint64(0xf502f1060206f3f5), uint64(0x834f1dd14fd15283), + uint64(0x685cd0e45ce48c68), uint64(0x51f4a207f4075651), + uint64(0xd134b95c345c8dd1), uint64(0xf908e9180818e1f9), + uint64(0xe293dfae93ae4ce2), uint64(0xab734d9573953eab), + uint64(0x6253c4f553f59762), uint64(0x2a3f54413f416b2a), + uint64(0x080c10140c141c08), uint64(0x955231f652f66395), + uint64(0x46658caf65afe946), uint64(0x9d5e21e25ee27f9d), + uint64(0x3028607828784830), uint64(0x37a16ef8a1f8cf37), + uint64(0x0a0f14110f111b0a), uint64(0x2fb55ec4b5c4eb2f), + uint64(0x0e091c1b091b150e), uint64(0x2436485a365a7e24), + uint64(0x1b9b36b69bb6ad1b), uint64(0xdf3da5473d4798df), + uint64(0xcd26816a266aa7cd), uint64(0x4e699cbb69bbf54e), + uint64(0x7fcdfe4ccd4c337f), uint64(0xea9fcfba9fba50ea), + uint64(0x121b242d1b2d3f12), uint64(0x1d9e3ab99eb9a41d), + uint64(0x5874b09c749cc458), uint64(0x342e68722e724634), + uint64(0x362d6c772d774136), uint64(0xdcb2a3cdb2cd11dc), + uint64(0xb4ee7329ee299db4), uint64(0x5bfbb616fb164d5b), + uint64(0xa4f65301f601a5a4), uint64(0x764decd74dd7a176), + uint64(0xb76175a361a314b7), uint64(0x7dcefa49ce49347d), + uint64(0x527ba48d7b8ddf52), uint64(0xdd3ea1423e429fdd), + uint64(0x5e71bc937193cd5e), uint64(0x139726a297a2b113), + uint64(0xa6f55704f504a2a6), uint64(0xb96869b868b801b9), + uint64(0x0000000000000000), uint64(0xc12c99742c74b5c1), + uint64(0x406080a060a0e040), uint64(0xe31fdd211f21c2e3), + uint64(0x79c8f243c8433a79), uint64(0xb6ed772ced2c9ab6), + uint64(0xd4beb3d9bed90dd4), uint64(0x8d4601ca46ca478d), + uint64(0x67d9ce70d9701767), uint64(0x724be4dd4bddaf72), + uint64(0x94de3379de79ed94), uint64(0x98d42b67d467ff98), + uint64(0xb0e87b23e82393b0), uint64(0x854a11de4ade5b85), + uint64(0xbb6b6dbd6bbd06bb), uint64(0xc52a917e2a7ebbc5), + uint64(0x4fe59e34e5347b4f), uint64(0xed16c13a163ad7ed), + uint64(0x86c51754c554d286), uint64(0x9ad72f62d762f89a), + uint64(0x6655ccff55ff9966), uint64(0x119422a794a7b611), + uint64(0x8acf0f4acf4ac08a), uint64(0xe910c9301030d9e9), + uint64(0x0406080a060a0e04), uint64(0xfe81e798819866fe), + uint64(0xa0f05b0bf00baba0), uint64(0x7844f0cc44ccb478), + uint64(0x25ba4ad5bad5f025), uint64(0x4be3963ee33e754b), + uint64(0xa2f35f0ef30eaca2), uint64(0x5dfeba19fe19445d), + uint64(0x80c01b5bc05bdb80), uint64(0x058a0a858a858005), + uint64(0x3fad7eecadecd33f), uint64(0x21bc42dfbcdffe21), + uint64(0x7048e0d848d8a870), uint64(0xf104f90c040cfdf1), + uint64(0x63dfc67adf7a1963), uint64(0x77c1ee58c1582f77), + uint64(0xaf75459f759f30af), uint64(0x426384a563a5e742), + uint64(0x2030405030507020), uint64(0xe51ad12e1a2ecbe5), + uint64(0xfd0ee1120e12effd), uint64(0xbf6d65b76db708bf), + uint64(0x814c19d44cd45581), uint64(0x1814303c143c2418), + uint64(0x26354c5f355f7926), uint64(0xc32f9d712f71b2c3), + uint64(0xbee16738e13886be), uint64(0x35a26afda2fdc835), + uint64(0x88cc0b4fcc4fc788), uint64(0x2e395c4b394b652e), + uint64(0x93573df957f96a93), uint64(0x55f2aa0df20d5855), + uint64(0xfc82e39d829d61fc), uint64(0x7a47f4c947c9b37a), + uint64(0xc8ac8befacef27c8), uint64(0xbae76f32e73288ba), + uint64(0x322b647d2b7d4f32), uint64(0xe695d7a495a442e6), + uint64(0xc0a09bfba0fb3bc0), uint64(0x199832b398b3aa19), + uint64(0x9ed12768d168f69e), uint64(0xa37f5d817f8122a3), + uint64(0x446688aa66aaee44), uint64(0x547ea8827e82d654), + uint64(0x3bab76e6abe6dd3b), uint64(0x0b83169e839e950b), + uint64(0x8cca0345ca45c98c), uint64(0xc729957b297bbcc7), + uint64(0x6bd3d66ed36e056b), uint64(0x283c50443c446c28), + uint64(0xa779558b798b2ca7), uint64(0xbce2633de23d81bc), + uint64(0x161d2c271d273116), uint64(0xad76419a769a37ad), + uint64(0xdb3bad4d3b4d96db), uint64(0x6456c8fa56fa9e64), + uint64(0x744ee8d24ed2a674), uint64(0x141e28221e223614), + uint64(0x92db3f76db76e492), uint64(0x0c0a181e0a1e120c), + uint64(0x486c90b46cb4fc48), uint64(0xb8e46b37e4378fb8), + uint64(0x9f5d25e75de7789f), uint64(0xbd6e61b26eb20fbd), + uint64(0x43ef862aef2a6943), uint64(0xc4a693f1a6f135c4), + uint64(0x39a872e3a8e3da39), uint64(0x31a462f7a4f7c631), + uint64(0xd337bd5937598ad3), uint64(0xf28bff868b8674f2), + uint64(0xd532b156325683d5), uint64(0x8b430dc543c54e8b), + uint64(0x6e59dceb59eb856e), uint64(0xdab7afc2b7c218da), + uint64(0x018c028f8c8f8e01), uint64(0xb16479ac64ac1db1), + uint64(0x9cd2236dd26df19c), uint64(0x49e0923be03b7249), + uint64(0xd8b4abc7b4c71fd8), uint64(0xacfa4315fa15b9ac), + uint64(0xf307fd090709faf3), uint64(0xcf25856f256fa0cf), + uint64(0xcaaf8feaafea20ca), uint64(0xf48ef3898e897df4), + uint64(0x47e98e20e9206747), uint64(0x1018202818283810), + uint64(0x6fd5de64d5640b6f), uint64(0xf088fb83888373f0), + uint64(0x4a6f94b16fb1fb4a), uint64(0x5c72b8967296ca5c), + uint64(0x3824706c246c5438), uint64(0x57f1ae08f1085f57), + uint64(0x73c7e652c7522173), uint64(0x975135f351f36497), + uint64(0xcb238d652365aecb), uint64(0xa17c59847c8425a1), + uint64(0xe89ccbbf9cbf57e8), uint64(0x3e217c6321635d3e), + uint64(0x96dd377cdd7cea96), uint64(0x61dcc27fdc7f1e61), + uint64(0x0d861a9186919c0d), uint64(0x0f851e9485949b0f), + uint64(0xe090dbab90ab4be0), uint64(0x7c42f8c642c6ba7c), + uint64(0x71c4e257c4572671), uint64(0xccaa83e5aae529cc), + uint64(0x90d83b73d873e390), uint64(0x06050c0f050f0906), + uint64(0xf701f5030103f4f7), uint64(0x1c12383612362a1c), + uint64(0xc2a39ffea3fe3cc2), uint64(0x6a5fd4e15fe18b6a), + uint64(0xaef94710f910beae), uint64(0x69d0d26bd06b0269), + uint64(0x17912ea891a8bf17), uint64(0x995829e858e87199), + uint64(0x3a2774692769533a), uint64(0x27b94ed0b9d0f727), + uint64(0xd938a948384891d9), uint64(0xeb13cd351335deeb), + uint64(0x2bb356ceb3cee52b), uint64(0x2233445533557722), + uint64(0xd2bbbfd6bbd604d2), uint64(0xa9704990709039a9), + uint64(0x07890e8089808707), uint64(0x33a766f2a7f2c133), + uint64(0x2db65ac1b6c1ec2d), uint64(0x3c22786622665a3c), + uint64(0x15922aad92adb815), uint64(0xc92089602060a9c9), + uint64(0x874915db49db5c87), uint64(0xaaff4f1aff1ab0aa), + uint64(0x5078a0887888d850), uint64(0xa57a518e7a8e2ba5), + uint64(0x038f068a8f8a8903), uint64(0x59f8b213f8134a59), + uint64(0x0980129b809b9209), uint64(0x1a1734391739231a), + uint64(0x65daca75da751065), uint64(0xd731b553315384d7), + uint64(0x84c61351c651d584), uint64(0xd0b8bbd3b8d303d0), + uint64(0x82c31f5ec35edc82), uint64(0x29b052cbb0cbe229), + uint64(0x5a77b4997799c35a), uint64(0x1e113c3311332d1e), + uint64(0x7bcbf646cb463d7b), uint64(0xa8fc4b1ffc1fb7a8), + uint64(0x6dd6da61d6610c6d), uint64(0x2c3a584e3a4e622c), +} + +var kTab4 = []uint64{ + uint64(0xa5f432c6c6a597f4), uint64(0x84976ff8f884eb97), + uint64(0x99b05eeeee99c7b0), uint64(0x8d8c7af6f68df78c), + uint64(0x0d17e8ffff0de517), uint64(0xbddc0ad6d6bdb7dc), + uint64(0xb1c816dedeb1a7c8), uint64(0x54fc6d91915439fc), + uint64(0x50f090606050c0f0), uint64(0x0305070202030405), + uint64(0xa9e02ececea987e0), uint64(0x7d87d156567dac87), + uint64(0x192bcce7e719d52b), uint64(0x62a613b5b56271a6), + uint64(0xe6317c4d4de69a31), uint64(0x9ab559ecec9ac3b5), + uint64(0x45cf408f8f4505cf), uint64(0x9dbca31f1f9d3ebc), + uint64(0x40c04989894009c0), uint64(0x879268fafa87ef92), + uint64(0x153fd0efef15c53f), uint64(0xeb2694b2b2eb7f26), + uint64(0xc940ce8e8ec90740), uint64(0x0b1de6fbfb0bed1d), + uint64(0xec2f6e4141ec822f), uint64(0x67a91ab3b3677da9), + uint64(0xfd1c435f5ffdbe1c), uint64(0xea25604545ea8a25), + uint64(0xbfdaf92323bf46da), uint64(0xf702515353f7a602), + uint64(0x96a145e4e496d3a1), uint64(0x5bed769b9b5b2ded), + uint64(0xc25d287575c2ea5d), uint64(0x1c24c5e1e11cd924), + uint64(0xaee9d43d3dae7ae9), uint64(0x6abef24c4c6a98be), + uint64(0x5aee826c6c5ad8ee), uint64(0x41c3bd7e7e41fcc3), + uint64(0x0206f3f5f502f106), uint64(0x4fd15283834f1dd1), + uint64(0x5ce48c68685cd0e4), uint64(0xf407565151f4a207), + uint64(0x345c8dd1d134b95c), uint64(0x0818e1f9f908e918), + uint64(0x93ae4ce2e293dfae), uint64(0x73953eabab734d95), + uint64(0x53f597626253c4f5), uint64(0x3f416b2a2a3f5441), + uint64(0x0c141c08080c1014), uint64(0x52f66395955231f6), + uint64(0x65afe94646658caf), uint64(0x5ee27f9d9d5e21e2), + uint64(0x2878483030286078), uint64(0xa1f8cf3737a16ef8), + uint64(0x0f111b0a0a0f1411), uint64(0xb5c4eb2f2fb55ec4), + uint64(0x091b150e0e091c1b), uint64(0x365a7e242436485a), + uint64(0x9bb6ad1b1b9b36b6), uint64(0x3d4798dfdf3da547), + uint64(0x266aa7cdcd26816a), uint64(0x69bbf54e4e699cbb), + uint64(0xcd4c337f7fcdfe4c), uint64(0x9fba50eaea9fcfba), + uint64(0x1b2d3f12121b242d), uint64(0x9eb9a41d1d9e3ab9), + uint64(0x749cc4585874b09c), uint64(0x2e724634342e6872), + uint64(0x2d774136362d6c77), uint64(0xb2cd11dcdcb2a3cd), + uint64(0xee299db4b4ee7329), uint64(0xfb164d5b5bfbb616), + uint64(0xf601a5a4a4f65301), uint64(0x4dd7a176764decd7), + uint64(0x61a314b7b76175a3), uint64(0xce49347d7dcefa49), + uint64(0x7b8ddf52527ba48d), uint64(0x3e429fdddd3ea142), + uint64(0x7193cd5e5e71bc93), uint64(0x97a2b113139726a2), + uint64(0xf504a2a6a6f55704), uint64(0x68b801b9b96869b8), + uint64(0x0000000000000000), uint64(0x2c74b5c1c12c9974), + uint64(0x60a0e040406080a0), uint64(0x1f21c2e3e31fdd21), + uint64(0xc8433a7979c8f243), uint64(0xed2c9ab6b6ed772c), + uint64(0xbed90dd4d4beb3d9), uint64(0x46ca478d8d4601ca), + uint64(0xd970176767d9ce70), uint64(0x4bddaf72724be4dd), + uint64(0xde79ed9494de3379), uint64(0xd467ff9898d42b67), + uint64(0xe82393b0b0e87b23), uint64(0x4ade5b85854a11de), + uint64(0x6bbd06bbbb6b6dbd), uint64(0x2a7ebbc5c52a917e), + uint64(0xe5347b4f4fe59e34), uint64(0x163ad7eded16c13a), + uint64(0xc554d28686c51754), uint64(0xd762f89a9ad72f62), + uint64(0x55ff99666655ccff), uint64(0x94a7b611119422a7), + uint64(0xcf4ac08a8acf0f4a), uint64(0x1030d9e9e910c930), + uint64(0x060a0e040406080a), uint64(0x819866fefe81e798), + uint64(0xf00baba0a0f05b0b), uint64(0x44ccb4787844f0cc), + uint64(0xbad5f02525ba4ad5), uint64(0xe33e754b4be3963e), + uint64(0xf30eaca2a2f35f0e), uint64(0xfe19445d5dfeba19), + uint64(0xc05bdb8080c01b5b), uint64(0x8a858005058a0a85), + uint64(0xadecd33f3fad7eec), uint64(0xbcdffe2121bc42df), + uint64(0x48d8a8707048e0d8), uint64(0x040cfdf1f104f90c), + uint64(0xdf7a196363dfc67a), uint64(0xc1582f7777c1ee58), + uint64(0x759f30afaf75459f), uint64(0x63a5e742426384a5), + uint64(0x3050702020304050), uint64(0x1a2ecbe5e51ad12e), + uint64(0x0e12effdfd0ee112), uint64(0x6db708bfbf6d65b7), + uint64(0x4cd45581814c19d4), uint64(0x143c24181814303c), + uint64(0x355f792626354c5f), uint64(0x2f71b2c3c32f9d71), + uint64(0xe13886bebee16738), uint64(0xa2fdc83535a26afd), + uint64(0xcc4fc78888cc0b4f), uint64(0x394b652e2e395c4b), + uint64(0x57f96a9393573df9), uint64(0xf20d585555f2aa0d), + uint64(0x829d61fcfc82e39d), uint64(0x47c9b37a7a47f4c9), + uint64(0xacef27c8c8ac8bef), uint64(0xe73288babae76f32), + uint64(0x2b7d4f32322b647d), uint64(0x95a442e6e695d7a4), + uint64(0xa0fb3bc0c0a09bfb), uint64(0x98b3aa19199832b3), + uint64(0xd168f69e9ed12768), uint64(0x7f8122a3a37f5d81), + uint64(0x66aaee44446688aa), uint64(0x7e82d654547ea882), + uint64(0xabe6dd3b3bab76e6), uint64(0x839e950b0b83169e), + uint64(0xca45c98c8cca0345), uint64(0x297bbcc7c729957b), + uint64(0xd36e056b6bd3d66e), uint64(0x3c446c28283c5044), + uint64(0x798b2ca7a779558b), uint64(0xe23d81bcbce2633d), + uint64(0x1d273116161d2c27), uint64(0x769a37adad76419a), + uint64(0x3b4d96dbdb3bad4d), uint64(0x56fa9e646456c8fa), + uint64(0x4ed2a674744ee8d2), uint64(0x1e223614141e2822), + uint64(0xdb76e49292db3f76), uint64(0x0a1e120c0c0a181e), + uint64(0x6cb4fc48486c90b4), uint64(0xe4378fb8b8e46b37), + uint64(0x5de7789f9f5d25e7), uint64(0x6eb20fbdbd6e61b2), + uint64(0xef2a694343ef862a), uint64(0xa6f135c4c4a693f1), + uint64(0xa8e3da3939a872e3), uint64(0xa4f7c63131a462f7), + uint64(0x37598ad3d337bd59), uint64(0x8b8674f2f28bff86), + uint64(0x325683d5d532b156), uint64(0x43c54e8b8b430dc5), + uint64(0x59eb856e6e59dceb), uint64(0xb7c218dadab7afc2), + uint64(0x8c8f8e01018c028f), uint64(0x64ac1db1b16479ac), + uint64(0xd26df19c9cd2236d), uint64(0xe03b724949e0923b), + uint64(0xb4c71fd8d8b4abc7), uint64(0xfa15b9acacfa4315), + uint64(0x0709faf3f307fd09), uint64(0x256fa0cfcf25856f), + uint64(0xafea20cacaaf8fea), uint64(0x8e897df4f48ef389), + uint64(0xe920674747e98e20), uint64(0x1828381010182028), + uint64(0xd5640b6f6fd5de64), uint64(0x888373f0f088fb83), + uint64(0x6fb1fb4a4a6f94b1), uint64(0x7296ca5c5c72b896), + uint64(0x246c54383824706c), uint64(0xf1085f5757f1ae08), + uint64(0xc752217373c7e652), uint64(0x51f36497975135f3), + uint64(0x2365aecbcb238d65), uint64(0x7c8425a1a17c5984), + uint64(0x9cbf57e8e89ccbbf), uint64(0x21635d3e3e217c63), + uint64(0xdd7cea9696dd377c), uint64(0xdc7f1e6161dcc27f), + uint64(0x86919c0d0d861a91), uint64(0x85949b0f0f851e94), + uint64(0x90ab4be0e090dbab), uint64(0x42c6ba7c7c42f8c6), + uint64(0xc457267171c4e257), uint64(0xaae529ccccaa83e5), + uint64(0xd873e39090d83b73), uint64(0x050f090606050c0f), + uint64(0x0103f4f7f701f503), uint64(0x12362a1c1c123836), + uint64(0xa3fe3cc2c2a39ffe), uint64(0x5fe18b6a6a5fd4e1), + uint64(0xf910beaeaef94710), uint64(0xd06b026969d0d26b), + uint64(0x91a8bf1717912ea8), uint64(0x58e87199995829e8), + uint64(0x2769533a3a277469), uint64(0xb9d0f72727b94ed0), + uint64(0x384891d9d938a948), uint64(0x1335deebeb13cd35), + uint64(0xb3cee52b2bb356ce), uint64(0x3355772222334455), + uint64(0xbbd604d2d2bbbfd6), uint64(0x709039a9a9704990), + uint64(0x8980870707890e80), uint64(0xa7f2c13333a766f2), + uint64(0xb6c1ec2d2db65ac1), uint64(0x22665a3c3c227866), + uint64(0x92adb81515922aad), uint64(0x2060a9c9c9208960), + uint64(0x49db5c87874915db), uint64(0xff1ab0aaaaff4f1a), + uint64(0x7888d8505078a088), uint64(0x7a8e2ba5a57a518e), + uint64(0x8f8a8903038f068a), uint64(0xf8134a5959f8b213), + uint64(0x809b92090980129b), uint64(0x1739231a1a173439), + uint64(0xda75106565daca75), uint64(0x315384d7d731b553), + uint64(0xc651d58484c61351), uint64(0xb8d303d0d0b8bbd3), + uint64(0xc35edc8282c31f5e), uint64(0xb0cbe22929b052cb), + uint64(0x7799c35a5a77b499), uint64(0x11332d1e1e113c33), + uint64(0xcb463d7b7bcbf646), uint64(0xfc1fb7a8a8fc4b1f), + uint64(0xd6610c6d6dd6da61), uint64(0x3a4e622c2c3a584e), +} diff --git a/crypto/x16rv3/groestl/groestl_test.go b/crypto/x16rv3/groestl/groestl_test.go new file mode 100644 index 0000000..d70324e --- /dev/null +++ b/crypto/x16rv3/groestl/groestl_test.go @@ -0,0 +1,2161 @@ +package groestl + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); int(HashSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{ + "6D3AD29D279110EEF3ADBD66DE2A0345A77BAEDE1557F5D099FCE0C03D6DC2BA8E6D4A6633DFBD66053C20FAA87D1A11F39A7FBE4A6C2F009801370308FC4AD8", + "1B09B54F197A0539DBB9C3936BB4CC00FAE65D1446A30529CFCB18F24ACCA7BA17B6A4E4B514DDD8739106D016DF2DE4CDD6B341DE23FB597AEBA22B34A16C38", + "FB084F886E72D5556DE8DD85CCBED62D635146FCB48F518B3C7F12398871CF55CD2EFD914D775EBE69C427C21C8C7682D7BA807C46AB1AB1CF857C128F75A49D", + "DE9685B3ECC8B0F8F3E95960130A3E799BC3C05FACC2744B743B50FD694C3EA619D310EE8D21E3B5C31005431AC0704CDE192E382D9151C117264AD6C19EA68A", + "FA6879857048AFF3B120506BAEAA62AC3A12F916BBC1ED2CB9237BC56BA263033F19411A1C142B3F2B437E0371814808888BDE7904EA9A85FAEEE6B996FD341B", + "AF564554DCF79CEAC23439475E7D905BE88066D0A4E5B198273656E6DCCB6A4CCE23C19E6A963C2BE326256E463094EB8F72F39C35984A2EF9EC3C76232F2A3C", + "0048AF524191E63727D849A86BBEB25E4BB074257B7F041A6ED922819BB6AB8141D6992C5E75010E22EB91B776622FA043C88025E3AAE6DA7BA4ABF9EA9A26F3", + "46523EA86464DE469C1CC702B04266447F918CD8452D4D3D687C908C0E237DAD51981564FCF9B860C83301C5F4750F47F44AC273001257C50F4185507983D34D", + "B23EEEB675C272C6E37A6EE9AB4DC505C9D6A10020F6BED3948205D04CDD1E90B06E494D186EF4F19266D7DA200C89DC009E2B1A538CDEA199E773FC076F802E", + "F027D0928297474FF8B09D3F0F68911A8D589E5B570797E6FD09C53DEA7D908D77A72922B80DC93CDBC612B5C1342C7EEE9395E6DE11352CB607242955B7C748", + "A6E1217ACCCF903564910AE0985B4B3BD28C31E09DBB7BA1E766F3EE318450489D8538A96791EFCD8312945344E68E17187A2905A4B3E290D747F9033B84F5C6", + "9C576D14ADEA3195B0AADD813A92F3E3AF916C604E4AB1CC790E08A22D7CE5BB78E2A2C29E87CF26C5627932B21456394670FD6DE8A7FE77965C0860DD7CBB58", + "2641419789602ABCF74F4B4B8B886DFA37E8846F61B7AC627DC5BF268C3F166107DA0EF7AA9F912200CCFE4674755C5AEEA2E8A06FF83A865850970FEE2F65E8", + "0892ECD8916C5151DF9A07855640A958914668A49ECF2101E9EED53A1440AF11698F45B52BA0A6FA76568EB86971EAC747770F96B121714DA9BA74B551B94DF2", + "DE485DBDB98D94D4C12980B37B8077636758279DA75671E1F904747B9C83B0AACA9620D086BD976A138AD66FD066F22AC69BD060751DCD29C9E3260E877A6872", + "DE24B56DE555CA938716225BD7D33167DEBFFF390E5F83878ED67FAB054DDAC87701AB64F1FEEF30D4CED2D1991C3DDD8AAA38B464F1A388854F6075B3E9E741", + "272BA3FD8A6E392278F234E5053411E8267375A4F9B05D960AFD2E664A67448F500F8BCDD5B8A68D0BDDF3BAF873CDDDE5C235943C58353AD90AED79A6C39CF3", + "13B42BF017644138341C1F21FA6ADC5ED608E8E9AC9C37431A5BE53765537B466D7019F78E246860AD5310B9C6FBE4ED6059CC6498CDAEDF76F23529AFB7A28B", + "F1094BC6E4FF6588819A34E669508D6D879C06D40114C460CFFF95637E52923A0EA9B92F69CAD9BC105E341915B053C8673B77728390805786A93A7CF8A601BF", + "6F82A8F0E1C3E1AC0608DC67C9E00DFE3B485866239EFB34372DE464806A3D0FAC1D2CB372CBCDEA9BB8AF1E01E6F47EBBBE39FF55EBB6A48E7BF42ADA6E73EB", + "8F935F18008C1182902E3EF5909F7704DF5C86DC5E8E2023014B6A1BE2EB851E8E013739A092A899F6FA1E928394244D18ECBDD98BA5619FA98C9B68F4CC14F1", + "A54888806312428BD6344BCBA65802B3D1729B1868904237DD70082078951349A1CB5BD555D869F30FC972A544FC742116B2A54A08289D2C24C1542EFD25704D", + "70FE13FABFECB8B124D01E81D2BDBAF523E8B4183025143CFA10B07DDDC56603017E9CBA0E89A6C9E851D8E7580A3CE47E308D98427ED73D43EFBA39372362A5", + "9F7808D276F932101517C3A13E798BEB3E9DADDE1740BA69252CAD5387CC715249E4E33891A364FFC9BEF23F9CAB095AF2DE1876B14CFD2AEC443FA042514933", + "413907C17D8CA9E5477DE5491914DC4EB621F35C96267F8E807AFFC0335DD8F6781C053CED249FF3C8C5A4D4AC62FE3D9E6660B30CC09621DE7162E6C271D3C7", + "6F28517124EC8DA8C2BDFEDDEF6B2578905AED34FC6C52C3F33B6CA1D600825CB2FCDD87AB1CCA7010D554A143DCFA05A3FA273C434C9952D5708DAE947DBE81", + "0A1650FF23CEA1D64B7173E58B92AA3BC24E2FB74892D11AE4235F8329E6399829A0E6ADBBC422910294B92FA27BCE4FE88A7E4FF41C2B5BE87C10B25CC70A35", + "A2421345150DCEC67C78026B98510DE244C1F653D5D9C7F6B073E85EB5EC4FD3E15E5782E7D2CE9767A0BD662A5E51A0372FB50263B72373CAA5E14B72540AE9", + "D1D114BFDAFDA451A3B986CE6FAEAFA6EF92DAF109372FD7856D81CF4F55D64F58A7F1FDC0737A128230866B4DC52D68A58E78A36F59123CE7344BE1E7F72BC4", + "1BFE6E7E0EF04EDA071BABE16F2979C58371E73D67DCE7083D85D5C3087CA12ADE24977FBC7EA62B74390FEDDC6820999F974B9E8422E4B4C17BF9477F967D13", + "5F920C73AEB9201668CFE28EB9E202A97771E3A1ACF3B1E7C93D4EF3E002F9BC820FBE6F8164FCAFB41E256BF35B85CE432F15D9C03CB58CB8303E6B4B4D6B7D", + "B03D3F7245FCCF45FB446113D2460AFFB0837CB9DAE0B09091D3015424F818B32AF0877D8DB22B1817E06DAAA4B9ABC5513B1A3DA72E9DD44E3632FBDDE43F19", + 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b/crypto/x16rv3/hamsi/hamsi.go new file mode 100644 index 0000000..3f0dd9f --- /dev/null +++ b/crypto/x16rv3/hamsi/hamsi.go @@ -0,0 +1,2767 @@ +// Copyright (c) 2020 The qitmeer developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package hamsi + +import ( + "encoding/binary" +) + +var T512_0 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0xef0b0270, 0x3afd0000, 0x5dae0000, 0x69490000, 0x9b0f3c06, 0x4405b5f9, 0x66140a51, 0x924f5d0a, 0xc96b0030, 0xe7250000, 0x2f840000, 0x264f0000, 0x08695bf9, 0x6dfcf137, 0x509f6984, 0x9e69af68}, + {0xc96b0030, 0xe7250000, 0x2f840000, 0x264f0000, 0x08695bf9, 0x6dfcf137, 0x509f6984, 0x9e69af68, 0x26600240, 0xddd80000, 0x722a0000, 0x4f060000, 0x936667ff, 0x29f944ce, 0x368b63d5, 0x0c26f262}, + {0x26600240, 0xddd80000, 0x722a0000, 0x4f060000, 0x936667ff, 0x29f944ce, 0x368b63d5, 0x0c26f262, 0xef0b0270, 0x3afd0000, 0x5dae0000, 0x69490000, 0x9b0f3c06, 0x4405b5f9, 0x66140a51, 0x924f5d0a}, + {0x145a3c00, 0xb9e90000, 0x61270000, 0xf1610000, 0xce613d6c, 0xb0493d78, 0x47a96720, 0xe18e24c5, 0x23671400, 0xc8b90000, 0xf4c70000, 0xfb750000, 0x73cd2465, 0xf8a6a549, 0x02c40a3f, 0xdc24e61f}, + {0xfb513e70, 0x83140000, 0x3c890000, 0x98280000, 0x556e016a, 0xf44c8881, 0x21bd6d71, 0x73c179cf, 0xea0c1430, 0x2f9c0000, 0xdb430000, 0xdd3a0000, 0x7ba47f9c, 0x955a547e, 0x525b63bb, 0x424d4977}, + {0xdd313c30, 0x5ecc0000, 0x4ea30000, 0xd72e0000, 0xc6086695, 0xddb5cc4f, 0x17360ea4, 0x7fe78bad, 0x05071640, 0x15610000, 0x86ed0000, 0xb4730000, 0xe0ab439a, 0xd15fe187, 0x344f69ea, 0xd002147d}, + {0x323a3e40, 0x64310000, 0x130d0000, 0xbe670000, 0x5d075a93, 0x99b079b6, 0x712204f5, 0xeda8d6a7, 0xcc6c1670, 0xf2440000, 0xa9690000, 0x923c0000, 0xe8c21863, 0xbca310b0, 0x64d0006e, 0x4e6bbb15}, + {0x23671400, 0xc8b90000, 0xf4c70000, 0xfb750000, 0x73cd2465, 0xf8a6a549, 0x02c40a3f, 0xdc24e61f, 0x373d2800, 0x71500000, 0x95e00000, 0x0a140000, 0xbdac1909, 0x48ef9831, 0x456d6d1f, 0x3daac2da}, + {0xcc6c1670, 0xf2440000, 0xa9690000, 0x923c0000, 0xe8c21863, 0xbca310b0, 0x64d0006e, 0x4e6bbb15, 0xfe562830, 0x96750000, 0xba640000, 0x2c5b0000, 0xb5c542f0, 0x25136906, 0x15f2049b, 0xa3c36db2}, + {0xea0c1430, 0x2f9c0000, 0xdb430000, 0xdd3a0000, 0x7ba47f9c, 0x955a547e, 0x525b63bb, 0x424d4977, 0x115d2a40, 0xac880000, 0xe7ca0000, 0x45120000, 0x2eca7ef6, 0x6116dcff, 0x73e60eca, 0x318c30b8}, + {0x05071640, 0x15610000, 0x86ed0000, 0xb4730000, 0xe0ab439a, 0xd15fe187, 0x344f69ea, 0xd002147d, 0xd8362a70, 0x4bad0000, 0xc84e0000, 0x635d0000, 0x26a3250f, 0x0cea2dc8, 0x2379674e, 0xafe59fd0}, + {0x373d2800, 0x71500000, 0x95e00000, 0x0a140000, 0xbdac1909, 0x48ef9831, 0x456d6d1f, 0x3daac2da, 0x145a3c00, 0xb9e90000, 0x61270000, 0xf1610000, 0xce613d6c, 0xb0493d78, 0x47a96720, 0xe18e24c5}, + {0xd8362a70, 0x4bad0000, 0xc84e0000, 0x635d0000, 0x26a3250f, 0x0cea2dc8, 0x2379674e, 0xafe59fd0, 0xdd313c30, 0x5ecc0000, 0x4ea30000, 0xd72e0000, 0xc6086695, 0xddb5cc4f, 0x17360ea4, 0x7fe78bad}, + {0xfe562830, 0x96750000, 0xba640000, 0x2c5b0000, 0xb5c542f0, 0x25136906, 0x15f2049b, 0xa3c36db2, 0x323a3e40, 0x64310000, 0x130d0000, 0xbe670000, 0x5d075a93, 0x99b079b6, 0x712204f5, 0xeda8d6a7}, + {0x115d2a40, 0xac880000, 0xe7ca0000, 0x45120000, 0x2eca7ef6, 0x6116dcff, 0x73e60eca, 0x318c30b8, 0xfb513e70, 0x83140000, 0x3c890000, 0x98280000, 0x556e016a, 0xf44c8881, 0x21bd6d71, 0x73c179cf}, + {0x54285c00, 0xeaed0000, 0xc5d60000, 0xa1c50000, 0xb3a26770, 0x94a5c4e1, 0x6bb0419d, 0x551b3782, 0x9cbb1800, 0xb0d30000, 0x92510000, 0xed930000, 0x593a4345, 0xe114d5f4, 0x430633da, 0x78cace29}, + {0xbb235e70, 0xd0100000, 0x98780000, 0xc88c0000, 0x28ad5b76, 0xd0a07118, 0x0da44bcc, 0xc7546a88, 0x55d01830, 0x57f60000, 0xbdd50000, 0xcbdc0000, 0x515318bc, 0x8ce824c3, 0x13995a5e, 0xe6a36141}, + {0x9d435c30, 0x0dc80000, 0xea520000, 0x878a0000, 0xbbcb3c89, 0xf95935d6, 0x3b2f2819, 0xcb7298ea, 0xbadb1a40, 0x6d0b0000, 0xe07b0000, 0xa2950000, 0xca5c24ba, 0xc8ed913a, 0x758d500f, 0x74ec3c4b}, + {0x72485e40, 0x37350000, 0xb7fc0000, 0xeec30000, 0x20c4008f, 0xbd5c802f, 0x5d3b2248, 0x593dc5e0, 0x73b01a70, 0x8a2e0000, 0xcfff0000, 0x84da0000, 0xc2357f43, 0xa511600d, 0x2512398b, 0xea859323}, + {0x40726000, 0x53040000, 0xa4f10000, 0x50a40000, 0x7dc35a1c, 0x24ecf999, 0x2c1926bd, 0xb4951347, 0xbfdc0c00, 0x786a0000, 0x66960000, 0x16e60000, 0x2af76720, 0x19b270bd, 0x41c239e5, 0xa4ee2836}, + {0xaf796270, 0x69f90000, 0xf95f0000, 0x39ed0000, 0xe6cc661a, 0x60e94c60, 0x4a0d2cec, 0x26da4e4d, 0x76b70c30, 0x9f4f0000, 0x49120000, 0x30a90000, 0x229e3cd9, 0x744e818a, 0x115d5061, 0x3a87875e}, + {0x89196030, 0xb4210000, 0x8b750000, 0x76eb0000, 0x75aa01e5, 0x491008ae, 0x7c864f39, 0x2afcbc2f, 0x99bc0e40, 0xa5b20000, 0x14bc0000, 0x59e00000, 0xb99100df, 0x304b3473, 0x77495a30, 0xa8c8da54}, + {0x66126240, 0x8edc0000, 0xd6db0000, 0x1fa20000, 0xeea53de3, 0x0d15bd57, 0x1a924568, 0xb8b3e125, 0x50d70e70, 0x42970000, 0x3b380000, 0x7faf0000, 0xb1f85b26, 0x5db7c544, 0x27d633b4, 0x36a1753c}, + {0x774f4800, 0x22540000, 0x31110000, 0x5ab00000, 0xc06f4315, 0x6c0361a8, 0x69744ba2, 0x893fd19d, 0xab863000, 0xc1830000, 0x07b10000, 0xe7870000, 0xe4965a4c, 0xa9fb4dc5, 0x066b5ec5, 0x45600cf3}, + {0x98444a70, 0x18a90000, 0x6cbf0000, 0x33f90000, 0x5b607f13, 0x2806d451, 0x0f6041f3, 0x1b708c97, 0x62ed3030, 0x26a60000, 0x28350000, 0xc1c80000, 0xecff01b5, 0xc407bcf2, 0x56f43741, 0xdb09a39b}, + {0xbe244830, 0xc5710000, 0x1e950000, 0x7cff0000, 0xc80618ec, 0x01ff909f, 0x39eb2226, 0x17567ef5, 0x8de63240, 0x1c5b0000, 0x759b0000, 0xa8810000, 0x77f03db3, 0x8002090b, 0x30e03d10, 0x4946fe91}, + {0x512f4a40, 0xff8c0000, 0x433b0000, 0x15b60000, 0x530924ea, 0x45fa2566, 0x5fff2877, 0x851923ff, 0x448d3270, 0xfb7e0000, 0x5a1f0000, 0x8ece0000, 0x7f99664a, 0xedfef83c, 0x607f5494, 0xd72f51f9}, + {0x63157400, 0x9bbd0000, 0x50360000, 0xabd10000, 0x0e0e7e79, 0xdc4a5cd0, 0x2edd2c82, 0x68b1f558, 0x88e12400, 0x093a0000, 0xf3760000, 0x1cf20000, 0x975b7e29, 0x515de88c, 0x04af54fa, 0x9944eaec}, + {0x8c1e7670, 0xa1400000, 0x0d980000, 0xc2980000, 0x9501427f, 0x984fe929, 0x48c926d3, 0xfafea852, 0x418a2430, 0xee1f0000, 0xdcf20000, 0x3abd0000, 0x9f3225d0, 0x3ca119bb, 0x54303d7e, 0x072d4584}, + {0xaa7e7430, 0x7c980000, 0x7fb20000, 0x8d9e0000, 0x06672580, 0xb1b6ade7, 0x7e424506, 0xf6d85a30, 0xae812640, 0xd4e20000, 0x815c0000, 0x53f40000, 0x043d19d6, 0x78a4ac42, 0x3224372f, 0x9562188e}, + {0x45757640, 0x46650000, 0x221c0000, 0xe4d70000, 0x9d681986, 0xf5b3181e, 0x18564f57, 0x6497073a, 0x67ea2670, 0x33c70000, 0xaed80000, 0x75bb0000, 0x0c54422f, 0x15585d75, 0x62bb5eab, 0x0b0bb7e6}, + {0x9cbb1800, 0xb0d30000, 0x92510000, 0xed930000, 0x593a4345, 0xe114d5f4, 0x430633da, 0x78cace29, 0xc8934400, 0x5a3e0000, 0x57870000, 0x4c560000, 0xea982435, 0x75b11115, 0x28b67247, 0x2dd1f9ab}, + {0x73b01a70, 0x8a2e0000, 0xcfff0000, 0x84da0000, 0xc2357f43, 0xa511600d, 0x2512398b, 0xea859323, 0x01f84430, 0xbd1b0000, 0x78030000, 0x6a190000, 0xe2f17fcc, 0x184de022, 0x78291bc3, 0xb3b856c3}, + {0x55d01830, 0x57f60000, 0xbdd50000, 0xcbdc0000, 0x515318bc, 0x8ce824c3, 0x13995a5e, 0xe6a36141, 0xeef34640, 0x87e60000, 0x25ad0000, 0x03500000, 0x79fe43ca, 0x5c4855db, 0x1e3d1192, 0x21f70bc9}, + {0xbadb1a40, 0x6d0b0000, 0xe07b0000, 0xa2950000, 0xca5c24ba, 0xc8ed913a, 0x758d500f, 0x74ec3c4b, 0x27984670, 0x60c30000, 0x0a290000, 0x251f0000, 0x71971833, 0x31b4a4ec, 0x4ea27816, 0xbf9ea4a1}, + {0x88e12400, 0x093a0000, 0xf3760000, 0x1cf20000, 0x975b7e29, 0x515de88c, 0x04af54fa, 0x9944eaec, 0xebf45000, 0x92870000, 0xa3400000, 0xb7230000, 0x99550050, 0x8d17b45c, 0x2a727878, 0xf1f51fb4}, + {0x67ea2670, 0x33c70000, 0xaed80000, 0x75bb0000, 0x0c54422f, 0x15585d75, 0x62bb5eab, 0x0b0bb7e6, 0x229f5030, 0x75a20000, 0x8cc40000, 0x916c0000, 0x913c5ba9, 0xe0eb456b, 0x7aed11fc, 0x6f9cb0dc}, + {0x418a2430, 0xee1f0000, 0xdcf20000, 0x3abd0000, 0x9f3225d0, 0x3ca119bb, 0x54303d7e, 0x072d4584, 0xcd945240, 0x4f5f0000, 0xd16a0000, 0xf8250000, 0x0a3367af, 0xa4eef092, 0x1cf91bad, 0xfdd3edd6}, + {0xae812640, 0xd4e20000, 0x815c0000, 0x53f40000, 0x043d19d6, 0x78a4ac42, 0x3224372f, 0x9562188e, 0x04ff5270, 0xa87a0000, 0xfeee0000, 0xde6a0000, 0x025a3c56, 0xc91201a5, 0x4c667229, 0x63ba42be}, + {0xbfdc0c00, 0x786a0000, 0x66960000, 0x16e60000, 0x2af76720, 0x19b270bd, 0x41c239e5, 0xa4ee2836, 0xffae6c00, 0x2b6e0000, 0xc2670000, 0x46420000, 0x57343d3c, 0x3d5e8924, 0x6ddb1f58, 0x107b3b71}, + {0x50d70e70, 0x42970000, 0x3b380000, 0x7faf0000, 0xb1f85b26, 0x5db7c544, 0x27d633b4, 0x36a1753c, 0x36c56c30, 0xcc4b0000, 0xede30000, 0x600d0000, 0x5f5d66c5, 0x50a27813, 0x3d4476dc, 0x8e129419}, + {0x76b70c30, 0x9f4f0000, 0x49120000, 0x30a90000, 0x229e3cd9, 0x744e818a, 0x115d5061, 0x3a87875e, 0xd9ce6e40, 0xf6b60000, 0xb04d0000, 0x09440000, 0xc4525ac3, 0x14a7cdea, 0x5b507c8d, 0x1c5dc913}, + {0x99bc0e40, 0xa5b20000, 0x14bc0000, 0x59e00000, 0xb99100df, 0x304b3473, 0x77495a30, 0xa8c8da54, 0x10a56e70, 0x11930000, 0x9fc90000, 0x2f0b0000, 0xcc3b013a, 0x795b3cdd, 0x0bcf1509, 0x8234667b}, + {0xab863000, 0xc1830000, 0x07b10000, 0xe7870000, 0xe4965a4c, 0xa9fb4dc5, 0x066b5ec5, 0x45600cf3, 0xdcc97800, 0xe3d70000, 0x36a00000, 0xbd370000, 0x24f91959, 0xc5f82c6d, 0x6f1f1567, 0xcc5fdd6e}, + {0x448d3270, 0xfb7e0000, 0x5a1f0000, 0x8ece0000, 0x7f99664a, 0xedfef83c, 0x607f5494, 0xd72f51f9, 0x15a27830, 0x04f20000, 0x19240000, 0x9b780000, 0x2c9042a0, 0xa804dd5a, 0x3f807ce3, 0x52367206}, + {0x62ed3030, 0x26a60000, 0x28350000, 0xc1c80000, 0xecff01b5, 0xc407bcf2, 0x56f43741, 0xdb09a39b, 0xfaa97a40, 0x3e0f0000, 0x448a0000, 0xf2310000, 0xb79f7ea6, 0xec0168a3, 0x599476b2, 0xc0792f0c}, + {0x8de63240, 0x1c5b0000, 0x759b0000, 0xa8810000, 0x77f03db3, 0x8002090b, 0x30e03d10, 0x4946fe91, 0x33c27a70, 0xd92a0000, 0x6b0e0000, 0xd47e0000, 0xbff6255f, 0x81fd9994, 0x090b1f36, 0x5e108064}, + {0xc8934400, 0x5a3e0000, 0x57870000, 0x4c560000, 0xea982435, 0x75b11115, 0x28b67247, 0x2dd1f9ab, 0x54285c00, 0xeaed0000, 0xc5d60000, 0xa1c50000, 0xb3a26770, 0x94a5c4e1, 0x6bb0419d, 0x551b3782}, + {0x27984670, 0x60c30000, 0x0a290000, 0x251f0000, 0x71971833, 0x31b4a4ec, 0x4ea27816, 0xbf9ea4a1, 0x9d435c30, 0x0dc80000, 0xea520000, 0x878a0000, 0xbbcb3c89, 0xf95935d6, 0x3b2f2819, 0xcb7298ea}, + {0x01f84430, 0xbd1b0000, 0x78030000, 0x6a190000, 0xe2f17fcc, 0x184de022, 0x78291bc3, 0xb3b856c3, 0x72485e40, 0x37350000, 0xb7fc0000, 0xeec30000, 0x20c4008f, 0xbd5c802f, 0x5d3b2248, 0x593dc5e0}, + {0xeef34640, 0x87e60000, 0x25ad0000, 0x03500000, 0x79fe43ca, 0x5c4855db, 0x1e3d1192, 0x21f70bc9, 0xbb235e70, 0xd0100000, 0x98780000, 0xc88c0000, 0x28ad5b76, 0xd0a07118, 0x0da44bcc, 0xc7546a88}, + {0xdcc97800, 0xe3d70000, 0x36a00000, 0xbd370000, 0x24f91959, 0xc5f82c6d, 0x6f1f1567, 0xcc5fdd6e, 0x774f4800, 0x22540000, 0x31110000, 0x5ab00000, 0xc06f4315, 0x6c0361a8, 0x69744ba2, 0x893fd19d}, + {0x33c27a70, 0xd92a0000, 0x6b0e0000, 0xd47e0000, 0xbff6255f, 0x81fd9994, 0x090b1f36, 0x5e108064, 0xbe244830, 0xc5710000, 0x1e950000, 0x7cff0000, 0xc80618ec, 0x01ff909f, 0x39eb2226, 0x17567ef5}, + {0x15a27830, 0x04f20000, 0x19240000, 0x9b780000, 0x2c9042a0, 0xa804dd5a, 0x3f807ce3, 0x52367206, 0x512f4a40, 0xff8c0000, 0x433b0000, 0x15b60000, 0x530924ea, 0x45fa2566, 0x5fff2877, 0x851923ff}, + {0xfaa97a40, 0x3e0f0000, 0x448a0000, 0xf2310000, 0xb79f7ea6, 0xec0168a3, 0x599476b2, 0xc0792f0c, 0x98444a70, 0x18a90000, 0x6cbf0000, 0x33f90000, 0x5b607f13, 0x2806d451, 0x0f6041f3, 0x1b708c97}, + {0xebf45000, 0x92870000, 0xa3400000, 0xb7230000, 0x99550050, 0x8d17b45c, 0x2a727878, 0xf1f51fb4, 0x63157400, 0x9bbd0000, 0x50360000, 0xabd10000, 0x0e0e7e79, 0xdc4a5cd0, 0x2edd2c82, 0x68b1f558}, + {0x04ff5270, 0xa87a0000, 0xfeee0000, 0xde6a0000, 0x025a3c56, 0xc91201a5, 0x4c667229, 0x63ba42be, 0xaa7e7430, 0x7c980000, 0x7fb20000, 0x8d9e0000, 0x06672580, 0xb1b6ade7, 0x7e424506, 0xf6d85a30}, + {0x229f5030, 0x75a20000, 0x8cc40000, 0x916c0000, 0x913c5ba9, 0xe0eb456b, 0x7aed11fc, 0x6f9cb0dc, 0x45757640, 0x46650000, 0x221c0000, 0xe4d70000, 0x9d681986, 0xf5b3181e, 0x18564f57, 0x6497073a}, + {0xcd945240, 0x4f5f0000, 0xd16a0000, 0xf8250000, 0x0a3367af, 0xa4eef092, 0x1cf91bad, 0xfdd3edd6, 0x8c1e7670, 0xa1400000, 0x0d980000, 0xc2980000, 0x9501427f, 0x984fe929, 0x48c926d3, 0xfafea852}, + {0xffae6c00, 0x2b6e0000, 0xc2670000, 0x46420000, 0x57343d3c, 0x3d5e8924, 0x6ddb1f58, 0x107b3b71, 0x40726000, 0x53040000, 0xa4f10000, 0x50a40000, 0x7dc35a1c, 0x24ecf999, 0x2c1926bd, 0xb4951347}, + {0x10a56e70, 0x11930000, 0x9fc90000, 0x2f0b0000, 0xcc3b013a, 0x795b3cdd, 0x0bcf1509, 0x8234667b, 0x89196030, 0xb4210000, 0x8b750000, 0x76eb0000, 0x75aa01e5, 0x491008ae, 0x7c864f39, 0x2afcbc2f}, + {0x36c56c30, 0xcc4b0000, 0xede30000, 0x600d0000, 0x5f5d66c5, 0x50a27813, 0x3d4476dc, 0x8e129419, 0x66126240, 0x8edc0000, 0xd6db0000, 0x1fa20000, 0xeea53de3, 0x0d15bd57, 0x1a924568, 0xb8b3e125}, + {0xd9ce6e40, 0xf6b60000, 0xb04d0000, 0x09440000, 0xc4525ac3, 0x14a7cdea, 0x5b507c8d, 0x1c5dc913, 0xaf796270, 0x69f90000, 0xf95f0000, 0x39ed0000, 0xe6cc661a, 0x60e94c60, 0x4a0d2cec, 0x26da4e4d}, + {0x29449c00, 0x64e70000, 0xf24b0000, 0xc2f30000, 0x0ede4e8f, 0x56c23745, 0xf3e04259, 0x8d0d9ec4, 0x466d0c00, 0x08620000, 0xdd5d0000, 0xbadd0000, 0x6a927942, 0x441f2b93, 0x218ace6f, 0xbf2c0be2}, + {0xc64f9e70, 0x5e1a0000, 0xafe50000, 0xabba0000, 0x95d17289, 0x12c782bc, 0x95f44808, 0x1f42c3ce, 0x8f060c30, 0xef470000, 0xf2d90000, 0x9c920000, 0x62fb22bb, 0x29e3daa4, 0x7115a7eb, 0x2145a48a}, + {0xe02f9c30, 0x83c20000, 0xddcf0000, 0xe4bc0000, 0x06b71576, 0x3b3ec672, 0xa37f2bdd, 0x136431ac, 0x600d0e40, 0xd5ba0000, 0xaf770000, 0xf5db0000, 0xf9f41ebd, 0x6de66f5d, 0x1701adba, 0xb30af980}, + {0x0f249e40, 0xb93f0000, 0x80610000, 0x8df50000, 0x9db82970, 0x7f3b738b, 0xc56b218c, 0x812b6ca6, 0xa9660e70, 0x329f0000, 0x80f30000, 0xd3940000, 0xf19d4544, 0x001a9e6a, 0x479ec43e, 0x2d6356e8}, + {0x3d1ea000, 0xdd0e0000, 0x936c0000, 0x33920000, 0xc0bf73e3, 0xe68b0a3d, 0xb4492579, 0x6c83ba01, 0x650a1800, 0xc0db0000, 0x299a0000, 0x41a80000, 0x195f5d27, 0xbcb98eda, 0x234ec450, 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0x8bc9599a, 0x3eb5c807}, + {0x3af98830, 0x3b730000, 0x92c30000, 0xb3f20000, 0x351f2f71, 0x9e353815, 0xc1f3d668, 0xd482f467, 0xc7b7da40, 0xe3010000, 0xd7e60000, 0xc1a30000, 0x77200d45, 0x0a8a629e, 0xeddd53cb, 0xacfa950d}, + {0xd5f28a40, 0x018e0000, 0xcf6d0000, 0xdabb0000, 0xae101377, 0xda308dec, 0xa7e7dc39, 0x46cda96d, 0x0edcda70, 0x04240000, 0xf8620000, 0xe7ec0000, 0x7f4956bc, 0x677693a9, 0xbd423a4f, 0x32933a65}, + {0xe7c8b400, 0x65bf0000, 0xdc600000, 0x64dc0000, 0xf31749e4, 0x4380f45a, 0xd6c5d8cc, 0xab657fca, 0xc2b0cc00, 0xf6600000, 0x510b0000, 0x75d00000, 0x978b4edf, 0xdbd58319, 0xd9923a21, 0x7cf88170}, + {0x08c3b670, 0x5f420000, 0x81ce0000, 0x0d950000, 0x681875e2, 0x078541a3, 0xb0d1d29d, 0x392a22c0, 0x0bdbcc30, 0x11450000, 0x7e8f0000, 0x539f0000, 0x9fe21526, 0xb629722e, 0x890d53a5, 0xe2912e18}, + {0x2ea3b430, 0x829a0000, 0xf3e40000, 0x42930000, 0xfb7e121d, 0x2e7c056d, 0x865ab148, 0x350cd0a2, 0xe4d0ce40, 0x2bb80000, 0x23210000, 0x3ad60000, 0x04ed2920, 0xf22cc7d7, 0xef1959f4, 0x70de7312}, + {0xc1a8b640, 0xb8670000, 0xae4a0000, 0x2bda0000, 0x60712e1b, 0x6a79b094, 0xe04ebb19, 0xa7438da8, 0x2dbbce70, 0xcc9d0000, 0x0ca50000, 0x1c990000, 0x0c8472d9, 0x9fd036e0, 0xbf863070, 0xeeb7dc7a}, + {0xd0f59c00, 0x14ef0000, 0x49800000, 0x6ec80000, 0x4ebb50ed, 0x0b6f6c6b, 0x93a8b5d3, 0x96cfbd10, 0xd6eaf000, 0x4f890000, 0x302c0000, 0x84b10000, 0x59ea73b3, 0x6b9cbe61, 0x9e3b5d01, 0x9d76a5b5}, + {0x3ffe9e70, 0x2e120000, 0x142e0000, 0x07810000, 0xd5b46ceb, 0x4f6ad992, 0xf5bcbf82, 0x0480e01a, 0x1f81f030, 0xa8ac0000, 0x1fa80000, 0xa2fe0000, 0x5183284a, 0x06604f56, 0xcea43485, 0x031f0add}, + {0x199e9c30, 0xf3ca0000, 0x66040000, 0x48870000, 0x46d20b14, 0x66939d5c, 0xc337dc57, 0x08a61278, 0xf08af240, 0x92510000, 0x42060000, 0xcbb70000, 0xca8c144c, 0x4265faaf, 0xa8b03ed4, 0x915057d7}, + {0xf6959e40, 0xc9370000, 0x3baa0000, 0x21ce0000, 0xdddd3712, 0x229628a5, 0xa523d606, 0x9ae94f72, 0x39e1f270, 0x75740000, 0x6d820000, 0xedf80000, 0xc2e54fb5, 0x2f990b98, 0xf82f5750, 0x0f39f8bf}, + {0xc4afa000, 0xad060000, 0x28a70000, 0x9fa90000, 0x80da6d81, 0xbb265113, 0xd401d2f3, 0x774199d5, 0xf58de400, 0x87300000, 0xc4eb0000, 0x7fc40000, 0x2a2757d6, 0x933a1b28, 0x9cff573e, 0x415243aa}, + {0x2ba4a270, 0x97fb0000, 0x75090000, 0xf6e00000, 0x1bd55187, 0xff23e4ea, 0xb215d8a2, 0xe50ec4df, 0x3ce6e430, 0x60150000, 0xeb6f0000, 0x598b0000, 0x224e0c2f, 0xfec6ea1f, 0xcc603eba, 0xdf3becc2}, + {0x0dc4a030, 0x4a230000, 0x07230000, 0xb9e60000, 0x88b33678, 0xd6daa024, 0x849ebb77, 0xe92836bd, 0xd3ede640, 0x5ae80000, 0xb6c10000, 0x30c20000, 0xb9413029, 0xbac35fe6, 0xaa7434eb, 0x4d74b1c8}, + {0xe2cfa240, 0x70de0000, 0x5a8d0000, 0xd0af0000, 0x13bc0a7e, 0x92df15dd, 0xe28ab126, 0x7b676bb7, 0x1a86e670, 0xbdcd0000, 0x99450000, 0x168d0000, 0xb1286bd0, 0xd73faed1, 0xfaeb5d6f, 0xd31d1ea0}, + {0xa7bad400, 0x36bb0000, 0x78910000, 0x34780000, 0x8ed413f8, 0x676c0dc3, 0xfadcfe71, 0x1ff06c8d, 0x7d6cc000, 0x8e0a0000, 0x379d0000, 0x63360000, 0xbd7c29ff, 0xc267f3a4, 0x985003c4, 0xd816a946}, + {0x48b1d670, 0x0c460000, 0x253f0000, 0x5d310000, 0x15db2ffe, 0x2369b83a, 0x9cc8f420, 0x8dbf3187, 0xb407c030, 0x692f0000, 0x18190000, 0x45790000, 0xb5157206, 0xaf9b0293, 0xc8cf6a40, 0x467f062e}, + {0x6ed1d430, 0xd19e0000, 0x57150000, 0x12370000, 0x86bd4801, 0x0a90fcf4, 0xaa4397f5, 0x8199c3e5, 0x5b0cc240, 0x53d20000, 0x45b70000, 0x2c300000, 0x2e1a4e00, 0xeb9eb76a, 0xaedb6011, 0xd4305b24}, + {0x81dad640, 0xeb630000, 0x0abb0000, 0x7b7e0000, 0x1db27407, 0x4e95490d, 0xcc579da4, 0x13d69eef, 0x9267c270, 0xb4f70000, 0x6a330000, 0x0a7f0000, 0x267315f9, 0x8662465d, 0xfe440995, 0x4a59f44c}, + {0xb3e0e800, 0x8f520000, 0x19b60000, 0xc5190000, 0x40b52e94, 0xd72530bb, 0xbd759951, 0xfe7e4848, 0x5e0bd400, 0x46b30000, 0xc35a0000, 0x98430000, 0xceb10d9a, 0x3ac156ed, 0x9a9409fb, 0x04324f59}, + {0x5cebea70, 0xb5af0000, 0x44180000, 0xac500000, 0xdbba1292, 0x93208542, 0xdb619300, 0x6c311542, 0x9760d430, 0xa1960000, 0xecde0000, 0xbe0c0000, 0xc6d85663, 0x573da7da, 0xca0b607f, 0x9a5be031}, + {0x7a8be830, 0x68770000, 0x36320000, 0xe3560000, 0x48dc756d, 0xbad9c18c, 0xedeaf0d5, 0x6017e720, 0x786bd640, 0x9b6b0000, 0xb1700000, 0xd7450000, 0x5dd76a65, 0x13381223, 0xac1f6a2e, 0x0814bd3b}, + {0x9580ea40, 0x528a0000, 0x6b9c0000, 0x8a1f0000, 0xd3d3496b, 0xfedc7475, 0x8bfefa84, 0xf258ba2a, 0xb100d670, 0x7c4e0000, 0x9ef40000, 0xf10a0000, 0x55be319c, 0x7ec4e314, 0xfc8003aa, 0x967d1253}, + {0x84ddc000, 0xfe020000, 0x8c560000, 0xcf0d0000, 0xfd19379d, 0x9fcaa88a, 0xf818f44e, 0xc3d48a92, 0x4a51e800, 0xff5a0000, 0xa27d0000, 0x69220000, 0x00d030f6, 0x8a886b95, 0xdd3d6edb, 0xe5bc6b9c}, + {0x6bd6c270, 0xc4ff0000, 0xd1f80000, 0xa6440000, 0x66160b9b, 0xdbcf1d73, 0x9e0cfe1f, 0x519bd798, 0x833ae830, 0x187f0000, 0x8df90000, 0x4f6d0000, 0x08b96b0f, 0xe7749aa2, 0x8da2075f, 0x7bd5c4f4}, + {0x4db6c030, 0x19270000, 0xa3d20000, 0xe9420000, 0xf5706c64, 0xf23659bd, 0xa8879dca, 0x5dbd25fa, 0x6c31ea40, 0x22820000, 0xd0570000, 0x26240000, 0x93b65709, 0xa3712f5b, 0xebb60d0e, 0xe99a99fe}, + {0xa2bdc240, 0x23da0000, 0xfe7c0000, 0x800b0000, 0x6e7f5062, 0xb633ec44, 0xce93979b, 0xcff278f0, 0xa55aea70, 0xc5a70000, 0xffd30000, 0x006b0000, 0x9bdf0cf0, 0xce8dde6c, 0xbb29648a, 0x77f33696}, + {0x9087fc00, 0x47eb0000, 0xed710000, 0x3e6c0000, 0x33780af1, 0x2f8395f2, 0xbfb1936e, 0x225aae57, 0x6936fc00, 0x37e30000, 0x56ba0000, 0x92570000, 0x731d1493, 0x722ecedc, 0xdff964e4, 0x39988d83}, + {0x7f8cfe70, 0x7d160000, 0xb0df0000, 0x57250000, 0xa87736f7, 0x6b86200b, 0xd9a5993f, 0xb015f35d, 0xa05dfc30, 0xd0c60000, 0x793e0000, 0xb4180000, 0x7b744f6a, 0x1fd23feb, 0x8f660d60, 0xa7f122eb}, + {0x59ecfc30, 0xa0ce0000, 0xc2f50000, 0x18230000, 0x3b115108, 0x427f64c5, 0xef2efaea, 0xbc33013f, 0x4f56fe40, 0xea3b0000, 0x24900000, 0xdd510000, 0xe07b736c, 0x5bd78a12, 0xe9720731, 0x35be7fe1}, + {0xb6e7fe40, 0x9a330000, 0x9f5b0000, 0x716a0000, 0xa01e6d0e, 0x067ad13c, 0x893af0bb, 0x2e7c5c35, 0x863dfe70, 0x0d1e0000, 0x0b140000, 0xfb1e0000, 0xe8122895, 0x362b7b25, 0xb9ed6eb5, 0xabd7d089}, +} +var T512_8 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0xf6800005, 0x3443c000, 0x24070000, 0x8f3d0000, 0x21373bfb, 0x0ab8d5ae, 0xcdc58b19, 0xd795ba31, 0xa67f0001, 0x71378000, 0x19fc0000, 0x96db0000, 0x3a8b6dfd, 0xebcaaef3, 0x2c6d478f, 0xac8e6c88}, + {0xa67f0001, 0x71378000, 0x19fc0000, 0x96db0000, 0x3a8b6dfd, 0xebcaaef3, 0x2c6d478f, 0xac8e6c88, 0x50ff0004, 0x45744000, 0x3dfb0000, 0x19e60000, 0x1bbc5606, 0xe1727b5d, 0xe1a8cc96, 0x7b1bd6b9}, + {0x50ff0004, 0x45744000, 0x3dfb0000, 0x19e60000, 0x1bbc5606, 0xe1727b5d, 0xe1a8cc96, 0x7b1bd6b9, 0xf6800005, 0x3443c000, 0x24070000, 0x8f3d0000, 0x21373bfb, 0x0ab8d5ae, 0xcdc58b19, 0xd795ba31}, + {0xf7750009, 0xcf3cc000, 0xc3d60000, 0x04920000, 0x029519a9, 0xf8e836ba, 0x7a87f14e, 0x9e16981a, 0xd46a0000, 0x8dc8c000, 0xa5af0000, 0x4a290000, 0xfc4e427a, 0xc9b4866c, 0x98369604, 0xf746c320}, + {0x01f5000c, 0xfb7f0000, 0xe7d10000, 0x8baf0000, 0x23a22252, 0xf250e314, 0xb7427a57, 0x4983222b, 0x72150001, 0xfcff4000, 0xbc530000, 0xdcf20000, 0xc6c52f87, 0x227e289f, 0xb45bd18b, 0x5bc8afa8}, + {0x510a0008, 0xbe0b4000, 0xda2a0000, 0x92490000, 0x381e7454, 0x13229849, 0x56eab6c1, 0x3298f492, 0x84950004, 0xc8bc8000, 0x98540000, 0x53cf0000, 0xe7f2147c, 0x28c6fd31, 0x799e5a92, 0x8c5d1599}, + {0xa78a000d, 0x8a488000, 0xfe2d0000, 0x1d740000, 0x19294faf, 0x199a4de7, 0x9b2f3dd8, 0xe50d4ea3, 0x22ea0005, 0xb98b0000, 0x81a80000, 0xc5140000, 0xdd797981, 0xc30c53c2, 0x55f31d1d, 0x20d37911}, + {0xd46a0000, 0x8dc8c000, 0xa5af0000, 0x4a290000, 0xfc4e427a, 0xc9b4866c, 0x98369604, 0xf746c320, 0x231f0009, 0x42f40000, 0x66790000, 0x4ebb0000, 0xfedb5bd3, 0x315cb0d6, 0xe2b1674a, 0x69505b3a}, + {0x22ea0005, 0xb98b0000, 0x81a80000, 0xc5140000, 0xdd797981, 0xc30c53c2, 0x55f31d1d, 0x20d37911, 0x85600008, 0x33c38000, 0x7f850000, 0xd8600000, 0xc450362e, 0xda961e25, 0xcedc20c5, 0xc5de37b2}, + {0x72150001, 0xfcff4000, 0xbc530000, 0xdcf20000, 0xc6c52f87, 0x227e289f, 0xb45bd18b, 0x5bc8afa8, 0x73e0000d, 0x07804000, 0x5b820000, 0x575d0000, 0xe5670dd5, 0xd02ecb8b, 0x0319abdc, 0x124b8d83}, + {0x84950004, 0xc8bc8000, 0x98540000, 0x53cf0000, 0xe7f2147c, 0x28c6fd31, 0x799e5a92, 0x8c5d1599, 0xd59f000c, 0x76b7c000, 0x427e0000, 0xc1860000, 0xdfec6028, 0x3be46578, 0x2f74ec53, 0xbec5e10b}, + {0x231f0009, 0x42f40000, 0x66790000, 0x4ebb0000, 0xfedb5bd3, 0x315cb0d6, 0xe2b1674a, 0x69505b3a, 0xf7750009, 0xcf3cc000, 0xc3d60000, 0x04920000, 0x029519a9, 0xf8e836ba, 0x7a87f14e, 0x9e16981a}, + {0xd59f000c, 0x76b7c000, 0x427e0000, 0xc1860000, 0xdfec6028, 0x3be46578, 0x2f74ec53, 0xbec5e10b, 0x510a0008, 0xbe0b4000, 0xda2a0000, 0x92490000, 0x381e7454, 0x13229849, 0x56eab6c1, 0x3298f492}, + {0x85600008, 0x33c38000, 0x7f850000, 0xd8600000, 0xc450362e, 0xda961e25, 0xcedc20c5, 0xc5de37b2, 0xa78a000d, 0x8a488000, 0xfe2d0000, 0x1d740000, 0x19294faf, 0x199a4de7, 0x9b2f3dd8, 0xe50d4ea3}, + {0x73e0000d, 0x07804000, 0x5b820000, 0x575d0000, 0xe5670dd5, 0xd02ecb8b, 0x0319abdc, 0x124b8d83, 0x01f5000c, 0xfb7f0000, 0xe7d10000, 0x8baf0000, 0x23a22252, 0xf250e314, 0xb7427a57, 0x4983222b}, + {0x774400f0, 0xf15a0000, 0xf5b20000, 0x34140000, 0x89377e8c, 0x5a8bec25, 0x0bc3cd1e, 0xcf3775cb, 0xf46c0050, 0x96180000, 0x14a50000, 0x031f0000, 0x42947eb8, 0x66bf7e19, 0x9ca470d2, 0x8a341574}, + {0x81c400f5, 0xc519c000, 0xd1b50000, 0xbb290000, 0xa8004577, 0x5033398b, 0xc6064607, 0x18a2cffa, 0x52130051, 0xe72f8000, 0x0d590000, 0x95c40000, 0x781f1345, 0x8d75d0ea, 0xb0c9375d, 0x26ba79fc}, + {0xd13b00f1, 0x806d8000, 0xec4e0000, 0xa2cf0000, 0xb3bc1371, 0xb14142d6, 0x27ae8a91, 0x63b91943, 0xa4930054, 0xd36c4000, 0x295e0000, 0x1af90000, 0x592828be, 0x87cd0544, 0x7d0cbc44, 0xf12fc3cd}, + {0x27bb00f4, 0xb42e4000, 0xc8490000, 0x2df20000, 0x928b288a, 0xbbf99778, 0xea6b0188, 0xb42ca372, 0x02ec0055, 0xa25bc000, 0x30a20000, 0x8c220000, 0x63a34543, 0x6c07abb7, 0x5161fbcb, 0x5da1af45}, + {0x803100f9, 0x3e66c000, 0x36640000, 0x30860000, 0x8ba26725, 0xa263da9f, 0x71443c50, 0x5121edd1, 0x20060050, 0x1bd0c000, 0xb10a0000, 0x49360000, 0xbeda3cc2, 0xaf0bf875, 0x0492e6d6, 0x7d72d654}, + {0x76b100fc, 0x0a250000, 0x12630000, 0xbfbb0000, 0xaa955cde, 0xa8db0f31, 0xbc81b749, 0x86b457e0, 0x86790051, 0x6ae74000, 0xa8f60000, 0xdfed0000, 0x8451513f, 0x44c15686, 0x28ffa159, 0xd1fcbadc}, + {0x264e00f8, 0x4f514000, 0x2f980000, 0xa65d0000, 0xb1290ad8, 0x49a9746c, 0x5d297bdf, 0xfdaf8159, 0x70f90054, 0x5ea48000, 0x8cf10000, 0x50d00000, 0xa5666ac4, 0x4e798328, 0xe53a2a40, 0x066900ed}, + {0xd0ce00fd, 0x7b128000, 0x0b9f0000, 0x29600000, 0x901e3123, 0x4311a1c2, 0x90ecf0c6, 0x2a3a3b68, 0xd6860055, 0x2f930000, 0x950d0000, 0xc60b0000, 0x9fed0739, 0xa5b32ddb, 0xc9576dcf, 0xaae76c65}, + {0xa32e00f0, 0x7c92c000, 0x501d0000, 0x7e3d0000, 0x75793cf6, 0x933f6a49, 0x93f55b1a, 0x3871b6eb, 0xd7730059, 0xd4ec0000, 0x72dc0000, 0x4da40000, 0xbc4f256b, 0x57e3cecf, 0x7e151798, 0xe3644e4e}, + {0x55ae00f5, 0x48d10000, 0x741a0000, 0xf1000000, 0x544e070d, 0x9987bfe7, 0x5e30d003, 0xefe40cda, 0x710c0058, 0xa5db8000, 0x6b200000, 0xdb7f0000, 0x86c44896, 0xbc29603c, 0x52785017, 0x4fea22c6}, + {0x055100f1, 0x0da54000, 0x49e10000, 0xe8e60000, 0x4ff2510b, 0x78f5c4ba, 0xbf981c95, 0x94ffda63, 0x878c005d, 0x91984000, 0x4f270000, 0x54420000, 0xa7f3736d, 0xb691b592, 0x9fbddb0e, 0x987f98f7}, + {0xf3d100f4, 0x39e68000, 0x6de60000, 0x67db0000, 0x6ec56af0, 0x724d1114, 0x725d978c, 0x436a6052, 0x21f3005c, 0xe0afc000, 0x56db0000, 0xc2990000, 0x9d781e90, 0x5d5b1b61, 0xb3d09c81, 0x34f1f47f}, + {0x545b00f9, 0xb3ae0000, 0x93cb0000, 0x7aaf0000, 0x77ec255f, 0x6bd75cf3, 0xe972aa54, 0xa6672ef1, 0x03190059, 0x5924c000, 0xd7730000, 0x078d0000, 0x40016711, 0x9e5748a3, 0xe623819c, 0x14228d6e}, + {0xa2db00fc, 0x87edc000, 0xb7cc0000, 0xf5920000, 0x56db1ea4, 0x616f895d, 0x24b7214d, 0x71f294c0, 0xa5660058, 0x28134000, 0xce8f0000, 0x91560000, 0x7a8a0aec, 0x759de650, 0xca4ec613, 0xb8ace1e6}, + {0xf22400f8, 0xc2998000, 0x8a370000, 0xec740000, 0x4d6748a2, 0x801df200, 0xc51feddb, 0x0ae94279, 0x53e6005d, 0x1c508000, 0xea880000, 0x1e6b0000, 0x5bbd3117, 0x7f2533fe, 0x078b4d0a, 0x6f395bd7}, + {0x04a400fd, 0xf6da4000, 0xae300000, 0x63490000, 0x6c507359, 0x8aa527ae, 0x08da66c2, 0xdd7cf848, 0xf599005c, 0x6d670000, 0xf3740000, 0x88b00000, 0x61365cea, 0x94ef9d0d, 0x2be60a85, 0xc3b7375f}, + {0xf46c0050, 0x96180000, 0x14a50000, 0x031f0000, 0x42947eb8, 0x66bf7e19, 0x9ca470d2, 0x8a341574, 0x832800a0, 0x67420000, 0xe1170000, 0x370b0000, 0xcba30034, 0x3c34923c, 0x9767bdcc, 0x450360bf}, + {0x02ec0055, 0xa25bc000, 0x30a20000, 0x8c220000, 0x63a34543, 0x6c07abb7, 0x5161fbcb, 0x5da1af45, 0x255700a1, 0x16758000, 0xf8eb0000, 0xa1d00000, 0xf1286dc9, 0xd7fe3ccf, 0xbb0afa43, 0xe98d0c37}, + {0x52130051, 0xe72f8000, 0x0d590000, 0x95c40000, 0x781f1345, 0x8d75d0ea, 0xb0c9375d, 0x26ba79fc, 0xd3d700a4, 0x22364000, 0xdcec0000, 0x2eed0000, 0xd01f5632, 0xdd46e961, 0x76cf715a, 0x3e18b606}, + {0xa4930054, 0xd36c4000, 0x295e0000, 0x1af90000, 0x592828be, 0x87cd0544, 0x7d0cbc44, 0xf12fc3cd, 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0x925c44e9, 0xe8870170, 0x9d720000, 0x12db0000, 0xd4220000, 0xf2886b27, 0xa921e543, 0x4ef8b518, 0x618813b1}, + {0xaa300115, 0xa57dc000, 0x601e0000, 0x07b10000, 0x47eb4fe3, 0x98a7c8c8, 0x980b613c, 0x45c9fed8, 0x4ef80171, 0xec458000, 0x0b270000, 0x42f90000, 0xc80306da, 0x42eb4bb0, 0x6295f297, 0xcd067f39}, + {0xfacf0111, 0xe0098000, 0x5de50000, 0x1e570000, 0x5c5719e5, 0x79d5b395, 0x79a3adaa, 0x3ed22861, 0xb8780174, 0xd8064000, 0x2f200000, 0xcdc40000, 0xe9343d21, 0x48539e1e, 0xaf50798e, 0x1a93c508}, + {0x0c4f0114, 0xd44a4000, 0x79e20000, 0x916a0000, 0x7d60221e, 0x736d663b, 0xb46626b3, 0xe9479250, 0x1e070175, 0xa931c000, 0x36dc0000, 0x5b1f0000, 0xd3bf50dc, 0xa39930ed, 0x833d3e01, 0xb61da980}, + {0xabc50119, 0x5e02c000, 0x87cf0000, 0x8c1e0000, 0x64496db1, 0x6af72bdc, 0x2f491b6b, 0x0c4adcf3, 0x3ced0170, 0x10bac000, 0xb7740000, 0x9e0b0000, 0x0ec6295d, 0x6095632f, 0xd6ce231c, 0x96ced091}, + {0x5d45011c, 0x6a410000, 0xa3c80000, 0x03230000, 0x457e564a, 0x604ffe72, 0xe28c9072, 0xdbdf66c2, 0x9a920171, 0x618d4000, 0xae880000, 0x08d00000, 0x344d44a0, 0x8b5fcddc, 0xfaa36493, 0x3a40bc19}, + {0x0dba0118, 0x2f354000, 0x9e330000, 0x1ac50000, 0x5ec2004c, 0x813d852f, 0x03245ce4, 0xa0c4b07b, 0x6c120174, 0x55ce8000, 0x8a8f0000, 0x87ed0000, 0x157a7f5b, 0x81e71872, 0x3766ef8a, 0xedd50628}, + {0xfb3a011d, 0x1b768000, 0xba340000, 0x95f80000, 0x7ff53bb7, 0x8b855081, 0xcee1d7fd, 0x77510a4a, 0xca6d0175, 0x24f90000, 0x93730000, 0x11360000, 0x2ff112a6, 0x6a2db681, 0x1b0ba805, 0x415b6aa0}, + {0x88da0110, 0x1cf6c000, 0xe1b60000, 0xc2a50000, 0x9a923662, 0x5bab9b0a, 0xcdf87c21, 0x651a87c9, 0xcb980179, 0xdf860000, 0x74a20000, 0x9a990000, 0x0c5330f4, 0x987d5595, 0xac49d252, 0x08d8488b}, + {0x7e5a0115, 0x28b50000, 0xc5b10000, 0x4d980000, 0xbba50d99, 0x51134ea4, 0x003df738, 0xb28f3df8, 0x6de70178, 0xaeb18000, 0x6d5e0000, 0x0c420000, 0x36d85d09, 0x73b7fb66, 0x802495dd, 0xa4562403}, + {0x2ea50111, 0x6dc14000, 0xf84a0000, 0x547e0000, 0xa0195b9f, 0xb06135f9, 0xe1953bae, 0xc994eb41, 0x9b67017d, 0x9af24000, 0x49590000, 0x837f0000, 0x17ef66f2, 0x790f2ec8, 0x4de11ec4, 0x73c39e32}, + {0xd8250114, 0x59828000, 0xdc4d0000, 0xdb430000, 0x812e6064, 0xbad9e057, 0x2c50b0b7, 0x1e015170, 0x3d18017c, 0xebc5c000, 0x50a50000, 0x15a40000, 0x2d640b0f, 0x92c5803b, 0x618c594b, 0xdf4df2ba}, + {0x7faf0119, 0xd3ca0000, 0x22600000, 0xc6370000, 0x98072fcb, 0xa343adb0, 0xb77f8d6f, 0xfb0c1fd3, 0x1ff20179, 0x524ec000, 0xd10d0000, 0xd0b00000, 0xf01d728e, 0x51c9d3f9, 0x347f4456, 0xff9e8bab}, + {0x892f011c, 0xe789c000, 0x06670000, 0x490a0000, 0xb9301430, 0xa9fb781e, 0x7aba0676, 0x2c99a5e2, 0xb98d0178, 0x23794000, 0xc8f10000, 0x466b0000, 0xca961f73, 0xba037d0a, 0x181203d9, 0x5310e723}, + {0xd9d00118, 0xa2fd8000, 0x3b9c0000, 0x50ec0000, 0xa28c4236, 0x48890343, 0x9b12cae0, 0x5782735b, 0x4f0d017d, 0x173a8000, 0xecf60000, 0xc9560000, 0xeba12488, 0xb0bba8a4, 0xd5d788c0, 0x84855d12}, + {0x2f50011d, 0x96be4000, 0x1f9b0000, 0xdfd10000, 0x83bb79cd, 0x4231d6ed, 0x56d741f9, 0x8017c96a, 0xe972017c, 0x660d0000, 0xf50a0000, 0x5f8d0000, 0xd12a4975, 0x5b710657, 0xf9bacf4f, 0x280b319a}, + {0x2bf401e0, 0x60640000, 0xb1ab0000, 0xbc980000, 0xefeb0a94, 0xc894f143, 0x5e0d273b, 0x5d6b3122, 0x1ceb0120, 0x0b6a0000, 0x067e0000, 0xd73d0000, 0xb01c159f, 0xcf9e9b5a, 0xd25cc5ca, 0xebbc06c5}, + {0xdd7401e5, 0x5427c000, 0x95ac0000, 0x33a50000, 0xcedc316f, 0xc22c24ed, 0x93c8ac22, 0x8afe8b13, 0xba940121, 0x7a5d8000, 0x1f820000, 0x41e60000, 0x8a977862, 0x245435a9, 0xfe318245, 0x47326a4d}, + {0x8d8b01e1, 0x11538000, 0xa8570000, 0x2a430000, 0xd5606769, 0x235e5fb0, 0x726060b4, 0xf1e55daa, 0x4c140124, 0x4e1e4000, 0x3b850000, 0xcedb0000, 0xaba04399, 0x2eece007, 0x33f4095c, 0x90a7d07c}, + {0x7b0b01e4, 0x25104000, 0x8c500000, 0xa57e0000, 0xf4575c92, 0x29e68a1e, 0xbfa5ebad, 0x2670e79b, 0xea6b0125, 0x3f29c000, 0x22790000, 0x58000000, 0x912b2e64, 0xc5264ef4, 0x1f994ed3, 0x3c29bcf4}, + {0xdc8101e9, 0xaf58c000, 0x727d0000, 0xb80a0000, 0xed7e133d, 0x307cc7f9, 0x248ad675, 0xc37da938, 0xc8810120, 0x86a2c000, 0xa3d10000, 0x9d140000, 0x4c5257e5, 0x062a1d36, 0x4a6a53ce, 0x1cfac5e5}, + {0x2a0101ec, 0x9b1b0000, 0x567a0000, 0x37370000, 0xcc4928c6, 0x3ac41257, 0xe94f5d6c, 0x14e81309, 0x6efe0121, 0xf7954000, 0xba2d0000, 0x0bcf0000, 0x76d93a18, 0xede0b3c5, 0x66071441, 0xb074a96d}, + {0x7afe01e8, 0xde6f4000, 0x6b810000, 0x2ed10000, 0xd7f57ec0, 0xdbb6690a, 0x08e791fa, 0x6ff3c5b0, 0x987e0124, 0xc3d68000, 0x9e2a0000, 0x84f20000, 0x57ee01e3, 0xe758666b, 0xabc29f58, 0x67e1135c}, + {0x8c7e01ed, 0xea2c8000, 0x4f860000, 0xa1ec0000, 0xf6c2453b, 0xd10ebca4, 0xc5221ae3, 0xb8667f81, 0x3e010125, 0xb2e10000, 0x87d60000, 0x12290000, 0x6d656c1e, 0x0c92c898, 0x87afd8d7, 0xcb6f7fd4}, + {0xff9e01e0, 0xedacc000, 0x14040000, 0xf6b10000, 0x13a548ee, 0x0120772f, 0xc63bb13f, 0xaa2df202, 0x3ff40129, 0x499e0000, 0x60070000, 0x99860000, 0x4ec74e4c, 0xfec22b8c, 0x30eda280, 0x82ec5dff}, + {0x091e01e5, 0xd9ef0000, 0x30030000, 0x798c0000, 0x32927315, 0x0b98a281, 0x0bfe3a26, 0x7db84833, 0x998b0128, 0x38a98000, 0x79fb0000, 0x0f5d0000, 0x744c23b1, 0x1508857f, 0x1c80e50f, 0x2e623177}, + {0x59e101e1, 0x9c9b4000, 0x0df80000, 0x606a0000, 0x292e2513, 0xeaead9dc, 0xea56f6b0, 0x06a39e8a, 0x6f0b012d, 0x0cea4000, 0x5dfc0000, 0x80600000, 0x557b184a, 0x1fb050d1, 0xd1456e16, 0xf9f78b46}, + {0xaf6101e4, 0xa8d88000, 0x29ff0000, 0xef570000, 0x08191ee8, 0xe0520c72, 0x27937da9, 0xd13624bb, 0xc974012c, 0x7dddc000, 0x44000000, 0x16bb0000, 0x6ff075b7, 0xf47afe22, 0xfd282999, 0x5579e7ce}, + {0x08eb01e9, 0x22900000, 0xd7d20000, 0xf2230000, 0x11305147, 0xf9c84195, 0xbcbc4071, 0x343b6a18, 0xeb9e0129, 0xc456c000, 0xc5a80000, 0xd3af0000, 0xb2890c36, 0x3776ade0, 0xa8db3484, 0x75aa9edf}, + {0xfe6b01ec, 0x16d3c000, 0xf3d50000, 0x7d1e0000, 0x30076abc, 0xf370943b, 0x7179cb68, 0xe3aed029, 0x4de10128, 0xb5614000, 0xdc540000, 0x45740000, 0x880261cb, 0xdcbc0313, 0x84b6730b, 0xd924f257}, + {0xae9401e8, 0x53a78000, 0xce2e0000, 0x64f80000, 0x2bbb3cba, 0x1202ef66, 0x90d107fe, 0x98b50690, 0xbb61012d, 0x81228000, 0xf8530000, 0xca490000, 0xa9355a30, 0xd604d6bd, 0x4973f812, 0x0eb14866}, + {0x581401ed, 0x67e44000, 0xea290000, 0xebc50000, 0x0a8c0741, 0x18ba3ac8, 0x5d148ce7, 0x4f20bca1, 0x1d1e012c, 0xf0150000, 0xe1af0000, 0x5c920000, 0x93be37cd, 0x3dce784e, 0x651ebf9d, 0xa23f24ee}, + {0xa8dc0140, 0x07260000, 0x50bc0000, 0x8b930000, 0x24480aa0, 0xf4a0637f, 0xc96a9af7, 0x1868519d, 0x6baf01d0, 0xfa300000, 0xf3cc0000, 0xe3290000, 0x392b6b13, 0x9515777f, 0xd99f08d4, 0x248b730e}, + {0x5e5c0145, 0x3365c000, 0x74bb0000, 0x04ae0000, 0x057f315b, 0xfe18b6d1, 0x04af11ee, 0xcffdebac, 0xcdd001d1, 0x8b078000, 0xea300000, 0x75f20000, 0x03a006ee, 0x7edfd98c, 0xf5f24f5b, 0x88051f86}, + {0x0ea30141, 0x76118000, 0x49400000, 0x1d480000, 0x1ec3675d, 0x1f6acd8c, 0xe507dd78, 0xb4e63d15, 0x3b5001d4, 0xbf444000, 0xce370000, 0xfacf0000, 0x22973d15, 0x74670c22, 0x3837c442, 0x5f90a5b7}, + {0xf8230144, 0x42524000, 0x6d470000, 0x92750000, 0x3ff45ca6, 0x15d21822, 0x28c25661, 0x63738724, 0x9d2f01d5, 0xce73c000, 0xd7cb0000, 0x6c140000, 0x181c50e8, 0x9fada2d1, 0x145a83cd, 0xf31ec93f}, + {0x5fa90149, 0xc81ac000, 0x936a0000, 0x8f010000, 0x26dd1309, 0x0c4855c5, 0xb3ed6bb9, 0x867ec987, 0xbfc501d0, 0x77f8c000, 0x56630000, 0xa9000000, 0xc5652969, 0x5ca1f113, 0x41a99ed0, 0xd3cdb02e}, + {0xa929014c, 0xfc590000, 0xb76d0000, 0x003c0000, 0x07ea28f2, 0x06f0806b, 0x7e28e0a0, 0x51eb73b6, 0x19ba01d1, 0x06cf4000, 0x4f9f0000, 0x3fdb0000, 0xffee4494, 0xb76b5fe0, 0x6dc4d95f, 0x7f43dca6}, + {0xf9d60148, 0xb92d4000, 0x8a960000, 0x19da0000, 0x1c567ef4, 0xe782fb36, 0x9f802c36, 0x2af0a50f, 0xef3a01d4, 0x328c8000, 0x6b980000, 0xb0e60000, 0xded97f6f, 0xbdd38a4e, 0xa0015246, 0xa8d66697}, + {0x0f56014d, 0x8d6e8000, 0xae910000, 0x96e70000, 0x3d61450f, 0xed3a2e98, 0x5245a72f, 0xfd651f3e, 0x494501d5, 0x43bb0000, 0x72640000, 0x263d0000, 0xe4521292, 0x561924bd, 0x8c6c15c9, 0x04580a1f}, + {0x7cb60140, 0x8aeec000, 0xf5130000, 0xc1ba0000, 0xd80648da, 0x3d14e513, 0x515c0cf3, 0xef2e92bd, 0x48b001d9, 0xb8c40000, 0x95b50000, 0xad920000, 0xc7f030c0, 0xa449c7a9, 0x3b2e6f9e, 0x4ddb2834}, + {0x8a360145, 0xbead0000, 0xd1140000, 0x4e870000, 0xf9317321, 0x37ac30bd, 0x9c9987ea, 0x38bb288c, 0xeecf01d8, 0xc9f38000, 0x8c490000, 0x3b490000, 0xfd7b5d3d, 0x4f83695a, 0x17432811, 0xe15544bc}, + {0xdac90141, 0xfbd94000, 0xecef0000, 0x57610000, 0xe28d2527, 0xd6de4be0, 0x7d314b7c, 0x43a0fe35, 0x184f01dd, 0xfdb04000, 0xa84e0000, 0xb4740000, 0xdc4c66c6, 0x453bbcf4, 0xda86a308, 0x36c0fe8d}, + {0x2c490144, 0xcf9a8000, 0xc8e80000, 0xd85c0000, 0xc3ba1edc, 0xdc669e4e, 0xb0f4c065, 0x94354404, 0xbe3001dc, 0x8c87c000, 0xb1b20000, 0x22af0000, 0xe6c70b3b, 0xaef11207, 0xf6ebe487, 0x9a4e9205}, + {0x8bc30149, 0x45d20000, 0x36c50000, 0xc5280000, 0xda935173, 0xc5fcd3a9, 0x2bdbfdbd, 0x71380aa7, 0x9cda01d9, 0x350cc000, 0x301a0000, 0xe7bb0000, 0x3bbe72ba, 0x6dfd41c5, 0xa318f99a, 0xba9deb14}, + {0x7d43014c, 0x7191c000, 0x12c20000, 0x4a150000, 0xfba46a88, 0xcf440607, 0xe61e76a4, 0xa6adb096, 0x3aa501d8, 0x443b4000, 0x29e60000, 0x71600000, 0x01351f47, 0x8637ef36, 0x8f75be15, 0x1613879c}, + {0x2dbc0148, 0x34e58000, 0x2f390000, 0x53f30000, 0xe0183c8e, 0x2e367d5a, 0x07b6ba32, 0xddb6662f, 0xcc2501dd, 0x70788000, 0x0de10000, 0xfe5d0000, 0x200224bc, 0x8c8f3a98, 0x42b0350c, 0xc1863dad}, + {0xdb3c014d, 0x00a64000, 0x0b3e0000, 0xdcce0000, 0xc12f0775, 0x248ea8f4, 0xca73312b, 0x0a23dc1e, 0x6a5a01dc, 0x014f0000, 0x141d0000, 0x68860000, 0x1a894941, 0x6745946b, 0x6edd7283, 0x6d085125}, + {0xdf9801b0, 0xf67c0000, 0xa50e0000, 0xbf870000, 0xad7f742c, 0xae2b8f5a, 0xc2a957e9, 0xd75f2456, 0x9fc30180, 0x6c280000, 0xe7690000, 0xe0360000, 0x7bbf15ab, 0xf3aa0966, 0x453b7806, 0xaebf667a}, + {0x291801b5, 0xc23fc000, 0x81090000, 0x30ba0000, 0x8c484fd7, 0xa4935af4, 0x0f6cdcf0, 0x00ca9e67, 0x39bc0181, 0x1d1f8000, 0xfe950000, 0x76ed0000, 0x41347856, 0x1860a795, 0x69563f89, 0x02310af2}, + {0x79e701b1, 0x874b8000, 0xbcf20000, 0x295c0000, 0x97f419d1, 0x45e121a9, 0xeec41066, 0x7bd148de, 0xcf3c0184, 0x295c4000, 0xda920000, 0xf9d00000, 0x600343ad, 0x12d8723b, 0xa493b490, 0xd5a4b0c3}, + {0x8f6701b4, 0xb3084000, 0x98f50000, 0xa6610000, 0xb6c3222a, 0x4f59f407, 0x23019b7f, 0xac44f2ef, 0x69430185, 0x586bc000, 0xc36e0000, 0x6f0b0000, 0x5a882e50, 0xf912dcc8, 0x88fef31f, 0x792adc4b}, + {0x28ed01b9, 0x3940c000, 0x66d80000, 0xbb150000, 0xafea6d85, 0x56c3b9e0, 0xb82ea6a7, 0x4949bc4c, 0x4ba90180, 0xe1e0c000, 0x42c60000, 0xaa1f0000, 0x87f157d1, 0x3a1e8f0a, 0xdd0dee02, 0x59f9a55a}, + {0xde6d01bc, 0x0d030000, 0x42df0000, 0x34280000, 0x8edd567e, 0x5c7b6c4e, 0x75eb2dbe, 0x9edc067d, 0xedd60181, 0x90d74000, 0x5b3a0000, 0x3cc40000, 0xbd7a3a2c, 0xd1d421f9, 0xf160a98d, 0xf577c9d2}, + {0x8e9201b8, 0x48774000, 0x7f240000, 0x2dce0000, 0x95610078, 0xbd091713, 0x9443e128, 0xe5c7d0c4, 0x1b560184, 0xa4948000, 0x7f3d0000, 0xb3f90000, 0x9c4d01d7, 0xdb6cf457, 0x3ca52294, 0x22e273e3}, + {0x781201bd, 0x7c348000, 0x5b230000, 0xa2f30000, 0xb4563b83, 0xb7b1c2bd, 0x59866a31, 0x32526af5, 0xbd290185, 0xd5a30000, 0x66c10000, 0x25220000, 0xa6c66c2a, 0x30a65aa4, 0x10c8651b, 0x8e6c1f6b}, + {0x0bf201b0, 0x7bb4c000, 0x00a10000, 0xf5ae0000, 0x51313656, 0x679f0936, 0x5a9fc1ed, 0x2019e776, 0xbcdc0189, 0x2edc0000, 0x81100000, 0xae8d0000, 0x85644e78, 0xc2f6b9b0, 0xa78a1f4c, 0xc7ef3d40}, + {0xfd7201b5, 0x4ff70000, 0x24a60000, 0x7a930000, 0x70060dad, 0x6d27dc98, 0x975a4af4, 0xf78c5d47, 0x1aa30188, 0x5feb8000, 0x98ec0000, 0x38560000, 0xbfef2385, 0x293c1743, 0x8be758c3, 0x6b6151c8}, + {0xad8d01b1, 0x0a834000, 0x195d0000, 0x63750000, 0x6bba5bab, 0x8c55a7c5, 0x76f28662, 0x8c978bfe, 0xec23018d, 0x6ba84000, 0xbceb0000, 0xb76b0000, 0x9ed8187e, 0x2384c2ed, 0x4622d3da, 0xbcf4ebf9}, + {0x5b0d01b4, 0x3ec08000, 0x3d5a0000, 0xec480000, 0x4a8d6050, 0x86ed726b, 0xbb370d7b, 0x5b0231cf, 0x4a5c018c, 0x1a9fc000, 0xa5170000, 0x21b00000, 0xa4537583, 0xc84e6c1e, 0x6a4f9455, 0x107a8771}, + {0xfc8701b9, 0xb4880000, 0xc3770000, 0xf13c0000, 0x53a42fff, 0x9f773f8c, 0x201830a3, 0xbe0f7f6c, 0x68b60189, 0xa314c000, 0x24bf0000, 0xe4a40000, 0x792a0c02, 0x0b423fdc, 0x3fbc8948, 0x30a9fe60}, + {0x0a0701bc, 0x80cbc000, 0xe7700000, 0x7e010000, 0x72931404, 0x95cfea22, 0xedddbbba, 0x699ac55d, 0xcec90188, 0xd2234000, 0x3d430000, 0x727f0000, 0x43a161ff, 0xe088912f, 0x13d1cec7, 0x9c2792e8}, + {0x5af801b8, 0xc5bf8000, 0xda8b0000, 0x67e70000, 0x692f4202, 0x74bd917f, 0x0c75772c, 0x128113e4, 0x3849018d, 0xe6608000, 0x19440000, 0xfd420000, 0x62965a04, 0xea304481, 0xde1445de, 0x4bb228d9}, + {0xac7801bd, 0xf1fc4000, 0xfe8c0000, 0xe8da0000, 0x481879f9, 0x7e0544d1, 0xc1b0fc35, 0xc514a9d5, 0x9e36018c, 0x97570000, 0x00b80000, 0x6b990000, 0x581d37f9, 0x01faea72, 0xf2790251, 0xe73c4451}, +} +var T512_16 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0x0c720000, 0x49e50f00, 0x42790000, 0x5cea0000, 0x33aa301a, 0x15822514, 0x95a34b7b, 0xb44b0090, 0xfe220000, 0xa7580500, 0x25d10000, 0xf7600000, 0x893178da, 0x1fd4f860, 0x4ed0a315, 0xa123ff9f}, + {0xfe220000, 0xa7580500, 0x25d10000, 0xf7600000, 0x893178da, 0x1fd4f860, 0x4ed0a315, 0xa123ff9f, 0xf2500000, 0xeebd0a00, 0x67a80000, 0xab8a0000, 0xba9b48c0, 0x0a56dd74, 0xdb73e86e, 0x1568ff0f}, + {0xf2500000, 0xeebd0a00, 0x67a80000, 0xab8a0000, 0xba9b48c0, 0x0a56dd74, 0xdb73e86e, 0x1568ff0f, 0x0c720000, 0x49e50f00, 0x42790000, 0x5cea0000, 0x33aa301a, 0x15822514, 0x95a34b7b, 0xb44b0090}, + {0x45180000, 0xa5b51700, 0xf96a0000, 0x3b480000, 0x1ecc142c, 0x231395d6, 0x16bca6b0, 0xdf33f4df, 0xb83d0000, 0x16710600, 0x379a0000, 0xf5b10000, 0x228161ac, 0xae48f145, 0x66241616, 0xc5c1eb3e}, + {0x496a0000, 0xec501800, 0xbb130000, 0x67a20000, 0x2d662436, 0x3691b0c2, 0x831fedcb, 0x6b78f44f, 0x461f0000, 0xb1290300, 0x124b0000, 0x02d10000, 0xabb01976, 0xb19c0925, 0x28f4b503, 0x64e214a1}, + {0xbb3a0000, 0x02ed1200, 0xdcbb0000, 0xcc280000, 0x97fd6cf6, 0x3cc76db6, 0x586c05a5, 0x7e100b40, 0x4a6d0000, 0xf8cc0c00, 0x50320000, 0x5e3b0000, 0x981a296c, 0xa41e2c31, 0xbd57fe78, 0xd0a91431}, + {0xb7480000, 0x4b081d00, 0x9ec20000, 0x90c20000, 0xa4575cec, 0x294548a2, 0xcdcf4ede, 0xca5b0bd0, 0xb44f0000, 0x5f940900, 0x75e30000, 0xa95b0000, 0x112b51b6, 0xbbcad451, 0xf3875d6d, 0x718aebae}, + {0xb83d0000, 0x16710600, 0x379a0000, 0xf5b10000, 0x228161ac, 0xae48f145, 0x66241616, 0xc5c1eb3e, 0xfd250000, 0xb3c41100, 0xcef00000, 0xcef90000, 0x3c4d7580, 0x8d5b6493, 0x7098b0a6, 0x1af21fe1}, + {0xb44f0000, 0x5f940900, 0x75e30000, 0xa95b0000, 0x112b51b6, 0xbbcad451, 0xf3875d6d, 0x718aebae, 0x03070000, 0x149c1400, 0xeb210000, 0x39990000, 0xb57c0d5a, 0x928f9cf3, 0x3e4813b3, 0xbbd1e07e}, + {0x461f0000, 0xb1290300, 0x124b0000, 0x02d10000, 0xabb01976, 0xb19c0925, 0x28f4b503, 0x64e214a1, 0x0f750000, 0x5d791b00, 0xa9580000, 0x65730000, 0x86d63d40, 0x870db9e7, 0xabeb58c8, 0x0f9ae0ee}, + {0x4a6d0000, 0xf8cc0c00, 0x50320000, 0x5e3b0000, 0x981a296c, 0xa41e2c31, 0xbd57fe78, 0xd0a91431, 0xf1570000, 0xfa211e00, 0x8c890000, 0x92130000, 0x0fe7459a, 0x98d94187, 0xe53bfbdd, 0xaeb91f71}, + {0xfd250000, 0xb3c41100, 0xcef00000, 0xcef90000, 0x3c4d7580, 0x8d5b6493, 0x7098b0a6, 0x1af21fe1, 0x45180000, 0xa5b51700, 0xf96a0000, 0x3b480000, 0x1ecc142c, 0x231395d6, 0x16bca6b0, 0xdf33f4df}, + {0xf1570000, 0xfa211e00, 0x8c890000, 0x92130000, 0x0fe7459a, 0x98d94187, 0xe53bfbdd, 0xaeb91f71, 0xbb3a0000, 0x02ed1200, 0xdcbb0000, 0xcc280000, 0x97fd6cf6, 0x3cc76db6, 0x586c05a5, 0x7e100b40}, + {0x03070000, 0x149c1400, 0xeb210000, 0x39990000, 0xb57c0d5a, 0x928f9cf3, 0x3e4813b3, 0xbbd1e07e, 0xb7480000, 0x4b081d00, 0x9ec20000, 0x90c20000, 0xa4575cec, 0x294548a2, 0xcdcf4ede, 0xca5b0bd0}, + {0x0f750000, 0x5d791b00, 0xa9580000, 0x65730000, 0x86d63d40, 0x870db9e7, 0xabeb58c8, 0x0f9ae0ee, 0x496a0000, 0xec501800, 0xbb130000, 0x67a20000, 0x2d662436, 0x3691b0c2, 0x831fedcb, 0x6b78f44f}, + {0x75a40000, 0xc28b2700, 0x94a40000, 0x90f50000, 0xfb7857e0, 0x49ce0bae, 0x1767c483, 0xaedf667e, 0xd1660000, 0x1bbc0300, 0x9eec0000, 0xf6940000, 0x03024527, 0xcf70fcf2, 0xb4431b17, 0x857f3c2b}, + {0x79d60000, 0x8b6e2800, 0xd6dd0000, 0xcc1f0000, 0xc8d267fa, 0x5c4c2eba, 0x82c48ff8, 0x1a9466ee, 0x2f440000, 0xbce40600, 0xbb3d0000, 0x01f40000, 0x8a333dfd, 0xd0a40492, 0xfa93b802, 0x245cc3b4}, + {0x8b860000, 0x65d32200, 0xb1750000, 0x67950000, 0x72492f3a, 0x561af3ce, 0x59b76796, 0x0ffc99e1, 0x23360000, 0xf5010900, 0xf9440000, 0x5d1e0000, 0xb9990de7, 0xc5262186, 0x6f30f379, 0x9017c324}, + {0x87f40000, 0x2c362d00, 0xf30c0000, 0x3b7f0000, 0x41e31f20, 0x4398d6da, 0xcc142ced, 0xbbb79971, 0xdd140000, 0x52590c00, 0xdc950000, 0xaa7e0000, 0x30a8753d, 0xdaf2d9e6, 0x21e0506c, 0x31343cbb}, + {0x30bc0000, 0x673e3000, 0x6dce0000, 0xabbd0000, 0xe5b443cc, 0x6add9e78, 0x01db6233, 0x71ec92a1, 0x695b0000, 0x0dcd0500, 0xa9760000, 0x03250000, 0x2183248b, 0x61380db7, 0xd2670d01, 0x40bed715}, + {0x3cce0000, 0x2edb3f00, 0x2fb70000, 0xf7570000, 0xd61e73d6, 0x7f5fbb6c, 0x94782948, 0xc5a79231, 0x97790000, 0xaa950000, 0x8ca70000, 0xf4450000, 0xa8b25c51, 0x7eecf5d7, 0x9cb7ae14, 0xe19d288a}, + {0xce9e0000, 0xc0663500, 0x481f0000, 0x5cdd0000, 0x6c853b16, 0x75096618, 0x4f0bc126, 0xd0cf6d3e, 0x9b0b0000, 0xe3700f00, 0xcede0000, 0xa8af0000, 0x9b186c4b, 0x6b6ed0c3, 0x0914e56f, 0x55d6281a}, + {0xc2ec0000, 0x89833a00, 0x0a660000, 0x00370000, 0x5f2f0b0c, 0x608b430c, 0xdaa88a5d, 0x64846dae, 0x65290000, 0x44280a00, 0xeb0f0000, 0x5fcf0000, 0x12291491, 0x74ba28a3, 0x47c4467a, 0xf4f5d785}, + {0xcd990000, 0xd4fa2100, 0xa33e0000, 0x65440000, 0xd9f9364c, 0xe786faeb, 0x7143d295, 0x6b1e8d40, 0x2c430000, 0xa8781200, 0x501c0000, 0x386d0000, 0x3f4f30a7, 0x422b9861, 0xc4dbabb1, 0x9f8d23ca}, + {0xc1eb0000, 0x9d1f2e00, 0xe1470000, 0x39ae0000, 0xea530656, 0xf204dfff, 0xe4e099ee, 0xdf558dd0, 0xd2610000, 0x0f201700, 0x75cd0000, 0xcf0d0000, 0xb67e487d, 0x5dff6001, 0x8a0b08a4, 0x3eaedc55}, + {0x33bb0000, 0x73a22400, 0x86ef0000, 0x92240000, 0x50c84e96, 0xf852028b, 0x3f937180, 0xca3d72df, 0xde130000, 0x46c51800, 0x37b40000, 0x93e70000, 0x85d47867, 0x487d4515, 0x1fa843df, 0x8ae5dcc5}, + {0x3fc90000, 0x3a472b00, 0xc4960000, 0xcece0000, 0x63627e8c, 0xedd0279f, 0xaa303afb, 0x7e76724f, 0x20310000, 0xe19d1d00, 0x12650000, 0x64870000, 0x0ce500bd, 0x57a9bd75, 0x5178e0ca, 0x2bc6235a}, + {0x88810000, 0x714f3600, 0x5a540000, 0x5e0c0000, 0xc7352260, 0xc4956f3d, 0x67ff7425, 0xb42d799f, 0x947e0000, 0xbe091400, 0x67860000, 0xcddc0000, 0x1dce510b, 0xec636924, 0xa2ffbda7, 0x5a4cc8f4}, + {0x84f30000, 0x38aa3900, 0x182d0000, 0x02e60000, 0xf49f127a, 0xd1174a29, 0xf25c3f5e, 0x0066790f, 0x6a5c0000, 0x19511100, 0x42570000, 0x3abc0000, 0x94ff29d1, 0xf3b79144, 0xec2f1eb2, 0xfb6f376b}, + {0x76a30000, 0xd6173300, 0x7f850000, 0xa96c0000, 0x4e045aba, 0xdb41975d, 0x292fd730, 0x150e8600, 0x662e0000, 0x50b41e00, 0x002e0000, 0x66560000, 0xa75519cb, 0xe635b450, 0x798c55c9, 0x4f2437fb}, + {0x7ad10000, 0x9ff23c00, 0x3dfc0000, 0xf5860000, 0x7dae6aa0, 0xcec3b249, 0xbc8c9c4b, 0xa1458690, 0x980c0000, 0xf7ec1b00, 0x25ff0000, 0x91360000, 0x2e646111, 0xf9e14c30, 0x375cf6dc, 0xee07c864}, + {0xd1660000, 0x1bbc0300, 0x9eec0000, 0xf6940000, 0x03024527, 0xcf70fcf2, 0xb4431b17, 0x857f3c2b, 0xa4c20000, 0xd9372400, 0x0a480000, 0x66610000, 0xf87a12c7, 0x86bef75c, 0xa324df94, 0x2ba05a55}, + {0xdd140000, 0x52590c00, 0xdc950000, 0xaa7e0000, 0x30a8753d, 0xdaf2d9e6, 0x21e0506c, 0x31343cbb, 0x5ae00000, 0x7e6f2100, 0x2f990000, 0x91010000, 0x714b6a1d, 0x996a0f3c, 0xedf47c81, 0x8a83a5ca}, + {0x2f440000, 0xbce40600, 0xbb3d0000, 0x01f40000, 0x8a333dfd, 0xd0a40492, 0xfa93b802, 0x245cc3b4, 0x56920000, 0x378a2e00, 0x6de00000, 0xcdeb0000, 0x42e15a07, 0x8ce82a28, 0x785737fa, 0x3ec8a55a}, + {0x23360000, 0xf5010900, 0xf9440000, 0x5d1e0000, 0xb9990de7, 0xc5262186, 0x6f30f379, 0x9017c324, 0xa8b00000, 0x90d22b00, 0x48310000, 0x3a8b0000, 0xcbd022dd, 0x933cd248, 0x368794ef, 0x9feb5ac5}, + {0x947e0000, 0xbe091400, 0x67860000, 0xcddc0000, 0x1dce510b, 0xec636924, 0xa2ffbda7, 0x5a4cc8f4, 0x1cff0000, 0xcf462200, 0x3dd20000, 0x93d00000, 0xdafb736b, 0x28f60619, 0xc500c982, 0xee61b16b}, + {0x980c0000, 0xf7ec1b00, 0x25ff0000, 0x91360000, 0x2e646111, 0xf9e14c30, 0x375cf6dc, 0xee07c864, 0xe2dd0000, 0x681e2700, 0x18030000, 0x64b00000, 0x53ca0bb1, 0x3722fe79, 0x8bd06a97, 0x4f424ef4}, + {0x6a5c0000, 0x19511100, 0x42570000, 0x3abc0000, 0x94ff29d1, 0xf3b79144, 0xec2f1eb2, 0xfb6f376b, 0xeeaf0000, 0x21fb2800, 0x5a7a0000, 0x385a0000, 0x60603bab, 0x22a0db6d, 0x1e7321ec, 0xfb094e64}, + {0x662e0000, 0x50b41e00, 0x002e0000, 0x66560000, 0xa75519cb, 0xe635b450, 0x798c55c9, 0x4f2437fb, 0x108d0000, 0x86a32d00, 0x7fab0000, 0xcf3a0000, 0xe9514371, 0x3d74230d, 0x50a382f9, 0x5a2ab1fb}, + {0x695b0000, 0x0dcd0500, 0xa9760000, 0x03250000, 0x2183248b, 0x61380db7, 0xd2670d01, 0x40bed715, 0x59e70000, 0x6af33500, 0xc4b80000, 0xa8980000, 0xc4376747, 0x0be593cf, 0xd3bc6f32, 0x315245b4}, + {0x65290000, 0x44280a00, 0xeb0f0000, 0x5fcf0000, 0x12291491, 0x74ba28a3, 0x47c4467a, 0xf4f5d785, 0xa7c50000, 0xcdab3000, 0xe1690000, 0x5ff80000, 0x4d061f9d, 0x14316baf, 0x9d6ccc27, 0x9071ba2b}, + {0x97790000, 0xaa950000, 0x8ca70000, 0xf4450000, 0xa8b25c51, 0x7eecf5d7, 0x9cb7ae14, 0xe19d288a, 0xabb70000, 0x844e3f00, 0xa3100000, 0x03120000, 0x7eac2f87, 0x01b34ebb, 0x08cf875c, 0x243ababb}, + {0x9b0b0000, 0xe3700f00, 0xcede0000, 0xa8af0000, 0x9b186c4b, 0x6b6ed0c3, 0x0914e56f, 0x55d6281a, 0x55950000, 0x23163a00, 0x86c10000, 0xf4720000, 0xf79d575d, 0x1e67b6db, 0x461f2449, 0x85194524}, + {0x2c430000, 0xa8781200, 0x501c0000, 0x386d0000, 0x3f4f30a7, 0x422b9861, 0xc4dbabb1, 0x9f8d23ca, 0xe1da0000, 0x7c823300, 0xf3220000, 0x5d290000, 0xe6b606eb, 0xa5ad628a, 0xb5987924, 0xf493ae8a}, + {0x20310000, 0xe19d1d00, 0x12650000, 0x64870000, 0x0ce500bd, 0x57a9bd75, 0x5178e0ca, 0x2bc6235a, 0x1ff80000, 0xdbda3600, 0xd6f30000, 0xaa490000, 0x6f877e31, 0xba799aea, 0xfb48da31, 0x55b05115}, + {0xd2610000, 0x0f201700, 0x75cd0000, 0xcf0d0000, 0xb67e487d, 0x5dff6001, 0x8a0b08a4, 0x3eaedc55, 0x138a0000, 0x923f3900, 0x948a0000, 0xf6a30000, 0x5c2d4e2b, 0xaffbbffe, 0x6eeb914a, 0xe1fb5185}, + {0xde130000, 0x46c51800, 0x37b40000, 0x93e70000, 0x85d47867, 0x487d4515, 0x1fa843df, 0x8ae5dcc5, 0xeda80000, 0x35673c00, 0xb15b0000, 0x01c30000, 0xd51c36f1, 0xb02f479e, 0x203b325f, 0x40d8ae1a}, + {0xa4c20000, 0xd9372400, 0x0a480000, 0x66610000, 0xf87a12c7, 0x86bef75c, 0xa324df94, 0x2ba05a55, 0x75a40000, 0xc28b2700, 0x94a40000, 0x90f50000, 0xfb7857e0, 0x49ce0bae, 0x1767c483, 0xaedf667e}, + {0xa8b00000, 0x90d22b00, 0x48310000, 0x3a8b0000, 0xcbd022dd, 0x933cd248, 0x368794ef, 0x9feb5ac5, 0x8b860000, 0x65d32200, 0xb1750000, 0x67950000, 0x72492f3a, 0x561af3ce, 0x59b76796, 0x0ffc99e1}, + {0x5ae00000, 0x7e6f2100, 0x2f990000, 0x91010000, 0x714b6a1d, 0x996a0f3c, 0xedf47c81, 0x8a83a5ca, 0x87f40000, 0x2c362d00, 0xf30c0000, 0x3b7f0000, 0x41e31f20, 0x4398d6da, 0xcc142ced, 0xbbb79971}, + {0x56920000, 0x378a2e00, 0x6de00000, 0xcdeb0000, 0x42e15a07, 0x8ce82a28, 0x785737fa, 0x3ec8a55a, 0x79d60000, 0x8b6e2800, 0xd6dd0000, 0xcc1f0000, 0xc8d267fa, 0x5c4c2eba, 0x82c48ff8, 0x1a9466ee}, + {0xe1da0000, 0x7c823300, 0xf3220000, 0x5d290000, 0xe6b606eb, 0xa5ad628a, 0xb5987924, 0xf493ae8a, 0xcd990000, 0xd4fa2100, 0xa33e0000, 0x65440000, 0xd9f9364c, 0xe786faeb, 0x7143d295, 0x6b1e8d40}, + {0xeda80000, 0x35673c00, 0xb15b0000, 0x01c30000, 0xd51c36f1, 0xb02f479e, 0x203b325f, 0x40d8ae1a, 0x33bb0000, 0x73a22400, 0x86ef0000, 0x92240000, 0x50c84e96, 0xf852028b, 0x3f937180, 0xca3d72df}, + {0x1ff80000, 0xdbda3600, 0xd6f30000, 0xaa490000, 0x6f877e31, 0xba799aea, 0xfb48da31, 0x55b05115, 0x3fc90000, 0x3a472b00, 0xc4960000, 0xcece0000, 0x63627e8c, 0xedd0279f, 0xaa303afb, 0x7e76724f}, + {0x138a0000, 0x923f3900, 0x948a0000, 0xf6a30000, 0x5c2d4e2b, 0xaffbbffe, 0x6eeb914a, 0xe1fb5185, 0xc1eb0000, 0x9d1f2e00, 0xe1470000, 0x39ae0000, 0xea530656, 0xf204dfff, 0xe4e099ee, 0xdf558dd0}, + {0x1cff0000, 0xcf462200, 0x3dd20000, 0x93d00000, 0xdafb736b, 0x28f60619, 0xc500c982, 0xee61b16b, 0x88810000, 0x714f3600, 0x5a540000, 0x5e0c0000, 0xc7352260, 0xc4956f3d, 0x67ff7425, 0xb42d799f}, + {0x108d0000, 0x86a32d00, 0x7fab0000, 0xcf3a0000, 0xe9514371, 0x3d74230d, 0x50a382f9, 0x5a2ab1fb, 0x76a30000, 0xd6173300, 0x7f850000, 0xa96c0000, 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0x12450000, 0x10dc4375, 0xec366794, 0xb23c9372, 0x55610631}, + {0x59ea0002, 0xe8c5ba00, 0x28780000, 0x1d430000, 0x695e562b, 0x50c21f9e, 0x2bbbbcfa, 0x9a98b1d1, 0x10e00003, 0x4a38ca00, 0x3a2f0000, 0xe5250000, 0x99ed3baf, 0xf3e29ff4, 0xfcec3067, 0xf442f9ae}, + {0x569f0002, 0xb5bca100, 0x81200000, 0x78300000, 0xef886b6b, 0xd7cfa679, 0x8050e432, 0x9502513f, 0x598a0003, 0xa668d200, 0x813c0000, 0x82870000, 0xb48b1f99, 0xc5732f36, 0x7ff3ddac, 0x9f3a0de1}, + {0x5aed0002, 0xfc59ae00, 0xc3590000, 0x24da0000, 0xdc225b71, 0xc24d836d, 0x15f3af49, 0x214951af, 0xa7a80003, 0x0130d700, 0xa4ed0000, 0x75e70000, 0x3dba6743, 0xdaa7d756, 0x31237eb9, 0x3e19f27e}, + {0xa8bd0002, 0x12e4a400, 0xa4f10000, 0x8f500000, 0x66b913b1, 0xc81b5e19, 0xce804727, 0x3421aea0, 0xabda0003, 0x48d5d800, 0xe6940000, 0x290d0000, 0x0e105759, 0xcf25f242, 0xa48035c2, 0x8a52f2ee}, + {0xa4cf0002, 0x5b01ab00, 0xe6880000, 0xd3ba0000, 0x551323ab, 0xdd997b0d, 0x5b230c5c, 0x806aae30, 0x55f80003, 0xef8ddd00, 0xc3450000, 0xde6d0000, 0x87212f83, 0xd0f10a22, 0xea5096d7, 0x2b710d71}, + {0x13870002, 0x1009b600, 0x784a0000, 0x43780000, 0xf1447f47, 0xf4dc33af, 0x96ec4282, 0x4a31a5e0, 0xe1b70003, 0xb019d400, 0xb6a60000, 0x77360000, 0x960a7e35, 0x6b3bde73, 0x19d7cbba, 0x5afbe6df}, + {0x1ff50002, 0x59ecb900, 0x3a330000, 0x1f920000, 0xc2ee4f5d, 0xe15e16bb, 0x034f09f9, 0xfe7aa570, 0x1f950003, 0x1741d100, 0x93770000, 0x80560000, 0x1f3b06ef, 0x74ef2613, 0x570768af, 0xfbd81940}, + {0xeda50002, 0xb751b300, 0x5d9b0000, 0xb4180000, 0x7875079d, 0xeb08cbcf, 0xd83ce197, 0xeb125a7f, 0x13e70003, 0x5ea4de00, 0xd10e0000, 0xdcbc0000, 0x2c9136f5, 0x616d0307, 0xc2a423d4, 0x4f9319d0}, + {0xe1d70002, 0xfeb4bc00, 0x1fe20000, 0xe8f20000, 0x4bdf3787, 0xfe8aeedb, 0x4d9faaec, 0x5f595aef, 0xedc50003, 0xf9fcdb00, 0xf4df0000, 0x2bdc0000, 0xa5a04e2f, 0x7eb9fb67, 0x8c7480c1, 0xeeb0e64f}, + {0x4a600002, 0x7afa8300, 0xbcf20000, 0xebe00000, 0x35731800, 0xff39a060, 0x45502db0, 0x7b63e054, 0xd10b0003, 0xd727e400, 0xdb680000, 0xdc8b0000, 0x73be3df9, 0x01e6400b, 0x180ca989, 0x2b17747e}, + {0x46120002, 0x331f8c00, 0xfe8b0000, 0xb70a0000, 0x06d9281a, 0xeabb8574, 0xd0f366cb, 0xcf28e0c4, 0x2f290003, 0x707fe100, 0xfeb90000, 0x2beb0000, 0xfa8f4523, 0x1e32b86b, 0x56dc0a9c, 0x8a348be1}, + {0xb4420002, 0xdda28600, 0x99230000, 0x1c800000, 0xbc4260da, 0xe0ed5800, 0x0b808ea5, 0xda401fcb, 0x235b0003, 0x399aee00, 0xbcc00000, 0x77010000, 0xc9257539, 0x0bb09d7f, 0xc37f41e7, 0x3e7f8b71}, + {0xb8300002, 0x94478900, 0xdb5a0000, 0x406a0000, 0x8fe850c0, 0xf56f7d14, 0x9e23c5de, 0x6e0b1f5b, 0xdd790003, 0x9ec2eb00, 0x99110000, 0x80610000, 0x40140de3, 0x1464651f, 0x8dafe2f2, 0x9f5c74ee}, + {0x0f780002, 0xdf4f9400, 0x45980000, 0xd0a80000, 0x2bbf0c2c, 0xdc2a35b6, 0x53ec8b00, 0xa450148b, 0x69360003, 0xc156e200, 0xecf20000, 0x293a0000, 0x513f5c55, 0xafaeb14e, 0x7e28bf9f, 0xeed69f40}, + {0x030a0002, 0x96aa9b00, 0x07e10000, 0x8c420000, 0x18153c36, 0xc9a810a2, 0xc64fc07b, 0x101b141b, 0x97140003, 0x660ee700, 0xc9230000, 0xde5a0000, 0xd80e248f, 0xb07a492e, 0x30f81c8a, 0x4ff560df}, + {0xf15a0002, 0x78179100, 0x60490000, 0x27c80000, 0xa28e74f6, 0xc3fecdd6, 0x1d3c2815, 0x0573eb14, 0x9b660003, 0x2febe800, 0x8b5a0000, 0x82b00000, 0xeba41495, 0xa5f86c3a, 0xa55b57f1, 0xfbbe604f}, + {0xfd280002, 0x31f29e00, 0x22300000, 0x7b220000, 0x912444ec, 0xd67ce8c2, 0x889f636e, 0xb138eb84, 0x65440003, 0x88b3ed00, 0xae8b0000, 0x75d00000, 0x62956c4f, 0xba2c945a, 0xeb8bf4e4, 0x5a9d9fd0}, + {0xf25d0002, 0x6c8b8500, 0x8b680000, 0x1e510000, 0x17f279ac, 0x51715125, 0x23743ba6, 0xbea20b6a, 0x2c2e0003, 0x64e3f500, 0x15980000, 0x12720000, 0x4ff34879, 0x8cbd2498, 0x6894192f, 0x31e56b9f}, + {0xfe2f0002, 0x256e8a00, 0xc9110000, 0x42bb0000, 0x245849b6, 0x44f37431, 0xb6d770dd, 0x0ae90bfa, 0xd20c0003, 0xc3bbf000, 0x30490000, 0xe5120000, 0xc6c230a3, 0x9369dcf8, 0x2644ba3a, 0x90c69400}, + {0x0c7f0002, 0xcbd38000, 0xaeb90000, 0xe9310000, 0x9ec30176, 0x4ea5a945, 0x6da498b3, 0x1f81f4f5, 0xde7e0003, 0x8a5eff00, 0x72300000, 0xb9f80000, 0xf56800b9, 0x86ebf9ec, 0xb3e7f141, 0x248d9490}, + {0x000d0002, 0x82368f00, 0xecc00000, 0xb5db0000, 0xad69316c, 0x5b278c51, 0xf807d3c8, 0xabcaf465, 0x205c0003, 0x2d06fa00, 0x57e10000, 0x4e980000, 0x7c597863, 0x993f018c, 0xfd375254, 0x85ae6b0f}, + {0xb7450002, 0xc93e9200, 0x72020000, 0x25190000, 0x093e6d80, 0x7262c4f3, 0x35c89d16, 0x6191ffb5, 0x94130003, 0x7292f300, 0x22020000, 0xe7c30000, 0x6d7229d5, 0x22f5d5dd, 0x0eb00f39, 0xf42480a1}, + {0xbb370002, 0x80db9d00, 0x307b0000, 0x79f30000, 0x3a945d9a, 0x67e0e1e7, 0xa06bd66d, 0xd5daff25, 0x6a310003, 0xd5caf600, 0x07d30000, 0x10a30000, 0xe443510f, 0x3d212dbd, 0x4060ac2c, 0x55077f3e}, + {0x49670002, 0x6e669700, 0x57d30000, 0xd2790000, 0x800f155a, 0x6db63c93, 0x7b183e03, 0xc0b2002a, 0x66430003, 0x9c2ff900, 0x45aa0000, 0x4c490000, 0xd7e96115, 0x28a308a9, 0xd5c3e757, 0xe14c7fae}, + {0x45150002, 0x27839800, 0x15aa0000, 0x8e930000, 0xb3a52540, 0x78341987, 0xeebb7578, 0x74f900ba, 0x98610003, 0x3b77fc00, 0x607b0000, 0xbb290000, 0x5ed819cf, 0x3777f0c9, 0x9b134442, 0x406f8031}, + {0x3fc40002, 0xb871a400, 0x28560000, 0x7b150000, 0xce0b4fe0, 0xb6f7abce, 0x5237e933, 0xd5bc862a, 0x006d0003, 0xcc9be700, 0x45840000, 0x2a1f0000, 0x70bc78de, 0xce96bcf9, 0xac4fb29e, 0xae684855}, + {0x33b60002, 0xf194ab00, 0x6a2f0000, 0x27ff0000, 0xfda17ffa, 0xa3758eda, 0xc794a248, 0x61f786ba, 0xfe4f0003, 0x6bc3e200, 0x60550000, 0xdd7f0000, 0xf98d0004, 0xd1424499, 0xe29f118b, 0x0f4bb7ca}, + {0xc1e60002, 0x1f29a100, 0x0d870000, 0x8c750000, 0x473a373a, 0xa92353ae, 0x1ce74a26, 0x749f79b5, 0xf23d0003, 0x2226ed00, 0x222c0000, 0x81950000, 0xca27301e, 0xc4c0618d, 0x773c5af0, 0xbb00b75a}, + {0xcd940002, 0x56ccae00, 0x4ffe0000, 0xd09f0000, 0x74900720, 0xbca176ba, 0x8944015d, 0xc0d47925, 0x0c1f0003, 0x857ee800, 0x07fd0000, 0x76f50000, 0x431648c4, 0xdb1499ed, 0x39ecf9e5, 0x1a2348c5}, + {0x7adc0002, 0x1dc4b300, 0xd13c0000, 0x405d0000, 0xd0c75bcc, 0x95e43e18, 0x448b4f83, 0x0a8f72f5, 0xb8500003, 0xdaeae100, 0x721e0000, 0xdfae0000, 0x523d1972, 0x60de4dbc, 0xca6ba488, 0x6ba9a36b}, + {0x76ae0002, 0x5421bc00, 0x93450000, 0x1cb70000, 0xe36d6bd6, 0x80661b0c, 0xd12804f8, 0xbec47265, 0x46720003, 0x7db2e400, 0x57cf0000, 0x28ce0000, 0xdb0c61a8, 0x7f0ab5dc, 0x84bb079d, 0xca8a5cf4}, + {0x84fe0002, 0xba9cb600, 0xf4ed0000, 0xb73d0000, 0x59f62316, 0x8a30c678, 0x0a5bec96, 0xabac8d6a, 0x4a000003, 0x3457eb00, 0x15b60000, 0x74240000, 0xe8a651b2, 0x6a8890c8, 0x11184ce6, 0x7ec15c64}, + {0x888c0002, 0xf379b900, 0xb6940000, 0xebd70000, 0x6a5c130c, 0x9fb2e36c, 0x9ff8a7ed, 0x1fe78dfa, 0xb4220003, 0x930fee00, 0x30670000, 0x83440000, 0x61972968, 0x755c68a8, 0x5fc8eff3, 0xdfe2a3fb}, + {0x87f90002, 0xae00a200, 0x1fcc0000, 0x8ea40000, 0xec8a2e4c, 0x18bf5a8b, 0x3413ff25, 0x107d6d14, 0xfd480003, 0x7f5ff600, 0x8b740000, 0xe4e60000, 0x4cf10d5e, 0x43cdd86a, 0xdcd70238, 0xb49a57b4}, + {0x8b8b0002, 0xe7e5ad00, 0x5db50000, 0xd24e0000, 0xdf201e56, 0x0d3d7f9f, 0xa1b0b45e, 0xa4366d84, 0x036a0003, 0xd807f300, 0xaea50000, 0x13860000, 0xc5c07584, 0x5c19200a, 0x9207a12d, 0x15b9a82b}, + {0x79db0002, 0x0958a700, 0x3a1d0000, 0x79c40000, 0x65bb5696, 0x076ba2eb, 0x7ac35c30, 0xb15e928b, 0x0f180003, 0x91e2fc00, 0xecdc0000, 0x4f6c0000, 0xf66a459e, 0x499b051e, 0x07a4ea56, 0xa1f2a8bb}, + {0x75a90002, 0x40bda800, 0x78640000, 0x252e0000, 0x5611668c, 0x12e987ff, 0xef60174b, 0x0515921b, 0xf13a0003, 0x36baf900, 0xc90d0000, 0xb80c0000, 0x7f5b3d44, 0x564ffd7e, 0x49744943, 0x00d15724}, + {0xc2e10002, 0x0bb5b500, 0xe6a60000, 0xb5ec0000, 0xf2463a60, 0x3baccf5d, 0x22af5995, 0xcf4e99cb, 0x45750003, 0x692ef000, 0xbcee0000, 0x11570000, 0x6e706cf2, 0xed85292f, 0xbaf3142e, 0x715bbc8a}, + {0xce930002, 0x4250ba00, 0xa4df0000, 0xe9060000, 0xc1ec0a7a, 0x2e2eea49, 0xb70c12ee, 0x7b05995b, 0xbb570003, 0xce76f500, 0x993f0000, 0xe6370000, 0xe7411428, 0xf251d14f, 0xf423b73b, 0xd0784315}, + {0x3cc30002, 0xacedb000, 0xc3770000, 0x428c0000, 0x7b7742ba, 0x2478373d, 0x6c7ffa80, 0x6e6d6654, 0xb7250003, 0x8793fa00, 0xdb460000, 0xbadd0000, 0xd4eb2432, 0xe7d3f45b, 0x6180fc40, 0x64334385}, + {0x30b10002, 0xe508bf00, 0x810e0000, 0x1e660000, 0x48dd72a0, 0x31fa1229, 0xf9dcb1fb, 0xda2666c4, 0x49070003, 0x20cbff00, 0xfe970000, 0x4dbd0000, 0x5dda5ce8, 0xf8070c3b, 0x2f505f55, 0xc510bc1a}, +} +var T512_24 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0x86790000, 0x3f390002, 0xe19ae000, 0x98560000, 0x9565670e, 0x4e88c8ea, 0xd3dd4944, 0x161ddab9, 0x30b70000, 0xe5d00000, 0xf4f46000, 0x42c40000, 0x63b83d6a, 0x78ba9460, 0x21afa1ea, 0xb0a51834}, + {0x30b70000, 0xe5d00000, 0xf4f46000, 0x42c40000, 0x63b83d6a, 0x78ba9460, 0x21afa1ea, 0xb0a51834, 0xb6ce0000, 0xdae90002, 0x156e8000, 0xda920000, 0xf6dd5a64, 0x36325c8a, 0xf272e8ae, 0xa6b8c28d}, + {0xb6ce0000, 0xdae90002, 0x156e8000, 0xda920000, 0xf6dd5a64, 0x36325c8a, 0xf272e8ae, 0xa6b8c28d, 0x86790000, 0x3f390002, 0xe19ae000, 0x98560000, 0x9565670e, 0x4e88c8ea, 0xd3dd4944, 0x161ddab9}, + {0x14190000, 0x23ca003c, 0x50df0000, 0x44b60000, 0x1b6c67b0, 0x3cf3ac75, 0x61e610b0, 0xdbcadb80, 0xe3430000, 0x3a4e0014, 0xf2c60000, 0xaa4e0000, 0xdb1e42a6, 0x256bbe15, 0x123db156, 0x3a4e99d7}, + {0x92600000, 0x1cf3003e, 0xb145e000, 0xdce00000, 0x8e0900be, 0x727b649f, 0xb23b59f4, 0xcdd70139, 0xd3f40000, 0xdf9e0014, 0x06326000, 0xe88a0000, 0xb8a67fcc, 0x5dd12a75, 0x339210bc, 0x8aeb81e3}, + {0x24ae0000, 0xc61a003c, 0xa42b6000, 0x06720000, 0x78d45ada, 0x44493815, 0x4049b15a, 0x6b6fc3b4, 0x558d0000, 0xe0a70016, 0xe7a88000, 0x70dc0000, 0x2dc318c2, 0x1359e29f, 0xe04f59f8, 0x9cf65b5a}, + {0xa2d70000, 0xf923003e, 0x45b18000, 0x9e240000, 0xedb13dd4, 0x0ac1f0ff, 0x9394f81e, 0x7d72190d, 0x653a0000, 0x05770016, 0x135ce000, 0x32180000, 0x4e7b25a8, 0x6be376ff, 0xc1e0f812, 0x2c53436e}, + {0xe3430000, 0x3a4e0014, 0xf2c60000, 0xaa4e0000, 0xdb1e42a6, 0x256bbe15, 0x123db156, 0x3a4e99d7, 0xf75a0000, 0x19840028, 0xa2190000, 0xeef80000, 0xc0722516, 0x19981260, 0x73dba1e6, 0xe1844257}, + {0x653a0000, 0x05770016, 0x135ce000, 0x32180000, 0x4e7b25a8, 0x6be376ff, 0xc1e0f812, 0x2c53436e, 0xc7ed0000, 0xfc540028, 0x56ed6000, 0xac3c0000, 0xa3ca187c, 0x61228600, 0x5274000c, 0x51215a63}, + {0xd3f40000, 0xdf9e0014, 0x06326000, 0xe88a0000, 0xb8a67fcc, 0x5dd12a75, 0x339210bc, 0x8aeb81e3, 0x41940000, 0xc36d002a, 0xb7778000, 0x346a0000, 0x36af7f72, 0x2faa4eea, 0x81a94948, 0x473c80da}, + {0x558d0000, 0xe0a70016, 0xe7a88000, 0x70dc0000, 0x2dc318c2, 0x1359e29f, 0xe04f59f8, 0x9cf65b5a, 0x71230000, 0x26bd002a, 0x4383e000, 0x76ae0000, 0x55174218, 0x5710da8a, 0xa006e8a2, 0xf79998ee}, + {0xf75a0000, 0x19840028, 0xa2190000, 0xeef80000, 0xc0722516, 0x19981260, 0x73dba1e6, 0xe1844257, 0x14190000, 0x23ca003c, 0x50df0000, 0x44b60000, 0x1b6c67b0, 0x3cf3ac75, 0x61e610b0, 0xdbcadb80}, + {0x71230000, 0x26bd002a, 0x4383e000, 0x76ae0000, 0x55174218, 0x5710da8a, 0xa006e8a2, 0xf79998ee, 0x24ae0000, 0xc61a003c, 0xa42b6000, 0x06720000, 0x78d45ada, 0x44493815, 0x4049b15a, 0x6b6fc3b4}, + {0xc7ed0000, 0xfc540028, 0x56ed6000, 0xac3c0000, 0xa3ca187c, 0x61228600, 0x5274000c, 0x51215a63, 0xa2d70000, 0xf923003e, 0x45b18000, 0x9e240000, 0xedb13dd4, 0x0ac1f0ff, 0x9394f81e, 0x7d72190d}, + {0x41940000, 0xc36d002a, 0xb7778000, 0x346a0000, 0x36af7f72, 0x2faa4eea, 0x81a94948, 0x473c80da, 0x92600000, 0x1cf3003e, 0xb145e000, 0xdce00000, 0x8e0900be, 0x727b649f, 0xb23b59f4, 0xcdd70139}, + {0x54500000, 0x0671005c, 0x25ae0000, 0x6a1e0000, 0x2ea54edf, 0x664e8512, 0xbfba18c3, 0x7e715d17, 0xbc8d0000, 0xfc3b0018, 0x19830000, 0xd10b0000, 0xae1878c4, 0x42a69856, 0x0012da37, 0x2c3b504e}, + {0xd2290000, 0x3948005e, 0xc434e000, 0xf2480000, 0xbbc029d1, 0x28c64df8, 0x6c675187, 0x686c87ae, 0x8c3a0000, 0x19eb0018, 0xed776000, 0x93cf0000, 0xcda045ae, 0x3a1c0c36, 0x21bd7bdd, 0x9c9e487a}, + {0x64e70000, 0xe3a1005c, 0xd15a6000, 0x28da0000, 0x4d1d73b5, 0x1ef41172, 0x9e15b929, 0xced44523, 0x0a430000, 0x26d2001a, 0x0ced8000, 0x0b990000, 0x58c522a0, 0x7494c4dc, 0xf2603299, 0x8a8392c3}, + {0xe29e0000, 0xdc98005e, 0x30c08000, 0xb08c0000, 0xd87814bb, 0x507cd998, 0x4dc8f06d, 0xd8c99f9a, 0x3af40000, 0xc302001a, 0xf819e000, 0x495d0000, 0x3b7d1fca, 0x0c2e50bc, 0xd3cf9373, 0x3a268af7}, + {0x40490000, 0x25bb0060, 0x75710000, 0x2ea80000, 0x35c9296f, 0x5abd2967, 0xde5c0873, 0xa5bb8697, 0x5fce0000, 0xc675000c, 0xeb450000, 0x7b450000, 0x75063a62, 0x67cd2643, 0x122f6b61, 0x1675c999}, + {0xc6300000, 0x1a820062, 0x94ebe000, 0xb6fe0000, 0xa0ac4e61, 0x1435e18d, 0x0d814137, 0xb3a65c2e, 0x6f790000, 0x23a5000c, 0x1fb16000, 0x39810000, 0x16be0708, 0x1f77b223, 0x3380ca8b, 0xa6d0d1ad}, + {0x70fe0000, 0xc06b0060, 0x81856000, 0x6c6c0000, 0x56711405, 0x2207bd07, 0xfff3a999, 0x151e9ea3, 0xe9000000, 0x1c9c000e, 0xfe2b8000, 0xa1d70000, 0x83db6006, 0x51ff7ac9, 0xe05d83cf, 0xb0cd0b14}, + {0xf6870000, 0xff520062, 0x601f8000, 0xf43a0000, 0xc314730b, 0x6c8f75ed, 0x2c2ee0dd, 0x0303441a, 0xd9b70000, 0xf94c000e, 0x0adfe000, 0xe3130000, 0xe0635d6c, 0x2945eea9, 0xc1f22225, 0x00681320}, + {0xb7130000, 0x3c3f0048, 0xd7680000, 0xc0500000, 0xf5bb0c79, 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0x35617517}, + {0x628c0000, 0xa1ea00a2, 0x3de2e000, 0x2a070000, 0x3c8b24f5, 0xa201062f, 0x3ad0b661, 0x50ceba1d, 0xa5220000, 0xe8b100e4, 0x5b256000, 0x11480000, 0x1cfc676f, 0xae05308d, 0x780d5bd2, 0x85c46d23}, + {0xd4420000, 0x7b0300a0, 0x288c6000, 0xf0950000, 0xca567e91, 0x94335aa5, 0xc8a25ecf, 0xf6767890, 0x235b0000, 0xd78800e6, 0xbabf8000, 0x891e0000, 0x89990061, 0xe08df867, 0xabd01296, 0x93d9b79a}, + {0x523b0000, 0x443a00a2, 0xc9168000, 0x68c30000, 0x5f33199f, 0xdabb924f, 0x1b7f178b, 0xe06ba229, 0x13ec0000, 0x325800e6, 0x4e4be000, 0xcbda0000, 0xea213d0b, 0x98376c07, 0x8a7fb37c, 0x237cafae}, + {0x47ff0000, 0x812600d4, 0x5bcf0000, 0x36b70000, 0x47392832, 0x935f59b7, 0x256c4600, 0xd9267fe4, 0x3d010000, 0xd29000c0, 0xe68d0000, 0xc6310000, 0xca304571, 0xa8ea90ce, 0x385630bf, 0xc290fed9}, + {0xc1860000, 0xbe1f00d6, 0xba55e000, 0xaee10000, 0xd25c4f3c, 0xddd7915d, 0xf6b10f44, 0xcf3ba55d, 0x0db60000, 0x374000c0, 0x12796000, 0x84f50000, 0xa988781b, 0xd05004ae, 0x19f99155, 0x7235e6ed}, + {0x77480000, 0x64f600d4, 0xaf3b6000, 0x74730000, 0x24811558, 0xebe5cdd7, 0x04c3e7ea, 0x698367d0, 0x8bcf0000, 0x087900c2, 0xf3e38000, 0x1ca30000, 0x3ced1f15, 0x9ed8cc44, 0xca24d811, 0x64283c54}, + {0xf1310000, 0x5bcf00d6, 0x4ea18000, 0xec250000, 0xb1e47256, 0xa56d053d, 0xd71eaeae, 0x7f9ebd69, 0xbb780000, 0xeda900c2, 0x0717e000, 0x5e670000, 0x5f55227f, 0xe6625824, 0xeb8b79fb, 0xd48d2460}, + {0x53e60000, 0xa2ec00e8, 0x0b100000, 0x72010000, 0x5c554f82, 0xafacf5c2, 0x448a56b0, 0x02eca464, 0xde420000, 0xe8de00d4, 0x144b0000, 0x6c7f0000, 0x112e07d7, 0x8d812edb, 0x2a6b81e9, 0xf8de670e}, + {0xd59f0000, 0x9dd500ea, 0xea8ae000, 0xea570000, 0xc930288c, 0xe1243d28, 0x97571ff4, 0x14f17edd, 0xeef50000, 0x0d0e00d4, 0xe0bf6000, 0x2ebb0000, 0x72963abd, 0xf53bbabb, 0x0bc42003, 0x487b7f3a}, + {0x63510000, 0x473c00e8, 0xffe46000, 0x30c50000, 0x3fed72e8, 0xd71661a2, 0x6525f75a, 0xb249bc50, 0x688c0000, 0x323700d6, 0x01258000, 0xb6ed0000, 0xe7f35db3, 0xbbb37251, 0xd8196947, 0x5e66a583}, + {0xe5280000, 0x780500ea, 0x1e7e8000, 0xa8930000, 0xaa8815e6, 0x999ea948, 0xb6f8be1e, 0xa45466e9, 0x583b0000, 0xd7e700d6, 0xf5d1e000, 0xf4290000, 0x844b60d9, 0xc309e631, 0xf9b6c8ad, 0xeec3bdb7}, + {0xa4bc0000, 0xbb6800c0, 0xa9090000, 0x9cf90000, 0x9c276a94, 0xb634e7a2, 0x3751f756, 0xe368e633, 0xca5b0000, 0xcb1400e8, 0x44940000, 0x28c90000, 0x0a426067, 0xb17282ae, 0x4b8d9159, 0x2314bc8e}, + {0x22c50000, 0x845100c2, 0x4893e000, 0x04af0000, 0x09420d9a, 0xf8bc2f48, 0xe48cbe12, 0xf5753c8a, 0xfaec0000, 0x2ec400e8, 0xb0606000, 0x6a0d0000, 0x69fa5d0d, 0xc9c816ce, 0x6a2230b3, 0x93b1a4ba}, + {0x940b0000, 0x5eb800c0, 0x5dfd6000, 0xde3d0000, 0xff9f57fe, 0xce8e73c2, 0x16fe56bc, 0x53cdfe07, 0x7c950000, 0x11fd00ea, 0x51fa8000, 0xf25b0000, 0xfc9f3a03, 0x8740de24, 0xb9ff79f7, 0x85ac7e03}, + {0x12720000, 0x618100c2, 0xbc678000, 0x466b0000, 0x6afa30f0, 0x8006bb28, 0xc5231ff8, 0x45d024be, 0x4c220000, 0xf42d00ea, 0xa50ee000, 0xb09f0000, 0x9f270769, 0xfffa4a44, 0x9850d81d, 0x35096637}, + {0xb0a50000, 0x98a200fc, 0xf9d60000, 0xd84f0000, 0x874b0d24, 0x8ac74bd7, 0x56b7e7e6, 0x38a23db3, 0x29180000, 0xf15a00fc, 0xb6520000, 0x82870000, 0xd15c22c1, 0x94193cbb, 0x59b0200f, 0x195a2559}, + {0x36dc0000, 0xa79b00fe, 0x184ce000, 0x40190000, 0x122e6a2a, 0xc44f833d, 0x856aaea2, 0x2ebfe70a, 0x19af0000, 0x148a00fc, 0x42a66000, 0xc0430000, 0xb2e41fab, 0xeca3a8db, 0x781f81e5, 0xa9ff3d6d}, + {0x80120000, 0x7d7200fc, 0x0d226000, 0x9a8b0000, 0xe4f3304e, 0xf27ddfb7, 0x7718460c, 0x88072587, 0x9fd60000, 0x2bb300fe, 0xa33c8000, 0x58150000, 0x278178a5, 0xa22b6031, 0xabc2c8a1, 0xbfe2e7d4}, + {0x066b0000, 0x424b00fe, 0xecb88000, 0x02dd0000, 0x71965740, 0xbcf5175d, 0xa4c50f48, 0x9e1aff3e, 0xaf610000, 0xce6300fe, 0x57c8e000, 0x1ad10000, 0x443945cf, 0xda91f451, 0x8a6d694b, 0x0f47ffe0}, +} +var T512_32 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0xcc140000, 0xa5630000, 0x5ab90780, 0x3b500000, 0x4bd013ff, 0x879b3418, 0x694348c1, 0xca5a87fe, 0x819e0000, 0xec570000, 0x66320280, 0x95f30000, 0x5da92802, 0x48f43cbc, 0xe65aa22d, 0x8e67b7fa}, + {0x819e0000, 0xec570000, 0x66320280, 0x95f30000, 0x5da92802, 0x48f43cbc, 0xe65aa22d, 0x8e67b7fa, 0x4d8a0000, 0x49340000, 0x3c8b0500, 0xaea30000, 0x16793bfd, 0xcf6f08a4, 0x8f19eaec, 0x443d3004}, + {0x4d8a0000, 0x49340000, 0x3c8b0500, 0xaea30000, 0x16793bfd, 0xcf6f08a4, 0x8f19eaec, 0x443d3004, 0xcc140000, 0xa5630000, 0x5ab90780, 0x3b500000, 0x4bd013ff, 0x879b3418, 0x694348c1, 0xca5a87fe}, + {0x78230000, 0x12fc0000, 0xa93a0b80, 0x90a50000, 0x713e2879, 0x7ee98924, 0xf08ca062, 0x636f8bab, 0x02af0000, 0xb7280000, 0xba1c0300, 0x56980000, 0xba8d45d3, 0x8048c667, 0xa95c149a, 0xf4f6ea7b}, + {0xb4370000, 0xb79f0000, 0xf3830c00, 0xabf50000, 0x3aee3b86, 0xf972bd3c, 0x99cfe8a3, 0xa9350c55, 0x83310000, 0x5b7f0000, 0xdc2e0180, 0xc36b0000, 0xe7246dd1, 0xc8bcfadb, 0x4f06b6b7, 0x7a915d81}, + {0xf9bd0000, 0xfeab0000, 0xcf080900, 0x05560000, 0x2c97007b, 0x361db598, 0x16d6024f, 0xed083c51, 0x4f250000, 0xfe1c0000, 0x86970600, 0xf83b0000, 0xacf47e2e, 0x4f27cec3, 0x2645fe76, 0xb0cbda7f}, + {0x35a90000, 0x5bc80000, 0x95b10e80, 0x3e060000, 0x67471384, 0xb1868180, 0x7f954a8e, 0x2752bbaf, 0xcebb0000, 0x124b0000, 0xe0a50480, 0x6dc80000, 0xf15d562c, 0x07d3f27f, 0xc01f5c5b, 0x3eac6d85}, + {0x02af0000, 0xb7280000, 0xba1c0300, 0x56980000, 0xba8d45d3, 0x8048c667, 0xa95c149a, 0xf4f6ea7b, 0x7a8c0000, 0xa5d40000, 0x13260880, 0xc63d0000, 0xcbb36daa, 0xfea14f43, 0x59d0b4f8, 0x979961d0}, + {0xcebb0000, 0x124b0000, 0xe0a50480, 0x6dc80000, 0xf15d562c, 0x07d3f27f, 0xc01f5c5b, 0x3eac6d85, 0xfb120000, 0x49830000, 0x75140a00, 0x53ce0000, 0x961a45a8, 0xb65573ff, 0xbf8a16d5, 0x19fed62a}, + {0x83310000, 0x5b7f0000, 0xdc2e0180, 0xc36b0000, 0xe7246dd1, 0xc8bcfadb, 0x4f06b6b7, 0x7a915d81, 0x37060000, 0xece00000, 0x2fad0d80, 0x689e0000, 0xddca5657, 0x31ce47e7, 0xd6c95e14, 0xd3a451d4}, + {0x4f250000, 0xfe1c0000, 0x86970600, 0xf83b0000, 0xacf47e2e, 0x4f27cec3, 0x2645fe76, 0xb0cbda7f, 0xb6980000, 0x00b70000, 0x499f0f00, 0xfd6d0000, 0x80637e55, 0x793a7b5b, 0x3093fc39, 0x5dc3e62e}, + {0x7a8c0000, 0xa5d40000, 0x13260880, 0xc63d0000, 0xcbb36daa, 0xfea14f43, 0x59d0b4f8, 0x979961d0, 0x78230000, 0x12fc0000, 0xa93a0b80, 0x90a50000, 0x713e2879, 0x7ee98924, 0xf08ca062, 0x636f8bab}, + {0xb6980000, 0x00b70000, 0x499f0f00, 0xfd6d0000, 0x80637e55, 0x793a7b5b, 0x3093fc39, 0x5dc3e62e, 0xf9bd0000, 0xfeab0000, 0xcf080900, 0x05560000, 0x2c97007b, 0x361db598, 0x16d6024f, 0xed083c51}, + {0xfb120000, 0x49830000, 0x75140a00, 0x53ce0000, 0x961a45a8, 0xb65573ff, 0xbf8a16d5, 0x19fed62a, 0x35a90000, 0x5bc80000, 0x95b10e80, 0x3e060000, 0x67471384, 0xb1868180, 0x7f954a8e, 0x2752bbaf}, + {0x37060000, 0xece00000, 0x2fad0d80, 0x689e0000, 0xddca5657, 0x31ce47e7, 0xd6c95e14, 0xd3a451d4, 0xb4370000, 0xb79f0000, 0xf3830c00, 0xabf50000, 0x3aee3b86, 0xf972bd3c, 0x99cfe8a3, 0xa9350c55}, + {0xac480000, 0x1ba60000, 0x45fb1380, 0x03430000, 0x5a85316a, 0x1fb250b6, 0xfe72c7fe, 0x91e478f6, 0x1e4e0000, 0xdecf0000, 0x6df80180, 0x77240000, 0xec47079e, 0xf4a0694e, 0xcda31812, 0x98aa496e}, + {0x605c0000, 0xbec50000, 0x1f421400, 0x38130000, 0x11552295, 0x982964ae, 0x97318f3f, 0x5bbeff08, 0x9fd00000, 0x32980000, 0x0bca0300, 0xe2d70000, 0xb1ee2f9c, 0xbc5455f2, 0x2bf9ba3f, 0x16cdfe94}, + {0x2dd60000, 0xf7f10000, 0x23c91100, 0x96b00000, 0x072c1968, 0x57466c0a, 0x182865d3, 0x1f83cf0c, 0x53c40000, 0x97fb0000, 0x51730480, 0xd9870000, 0xfa3e3c63, 0x3bcf61ea, 0x42baf2fe, 0xdc97796a}, + {0xe1c20000, 0x52920000, 0x79701680, 0xade00000, 0x4cfc0a97, 0xd0dd5812, 0x716b2d12, 0xd5d948f2, 0xd25a0000, 0x7bac0000, 0x37410600, 0x4c740000, 0xa7971461, 0x733b5d56, 0xa4e050d3, 0x52f0ce90}, + {0xd46b0000, 0x095a0000, 0xecc11800, 0x93e60000, 0x2bbb1913, 0x615bd992, 0x0efe679c, 0xf28bf35d, 0x1ce10000, 0x69e70000, 0xd7e40280, 0x21bc0000, 0x56ca424d, 0x74e8af29, 0x64ff0c88, 0x6c5ca315}, + {0x187f0000, 0xac390000, 0xb6781f80, 0xa8b60000, 0x606b0aec, 0xe6c0ed8a, 0x67bd2f5d, 0x38d174a3, 0x9d7f0000, 0x85b00000, 0xb1d60000, 0xb44f0000, 0x0b636a4f, 0x3c1c9395, 0x82a5aea5, 0xe23b14ef}, + {0x55f50000, 0xe50d0000, 0x8af31a80, 0x06150000, 0x76123111, 0x29afe52e, 0xe8a4c5b1, 0x7cec44a7, 0x516b0000, 0x20d30000, 0xeb6f0780, 0x8f1f0000, 0x40b379b0, 0xbb87a78d, 0xebe6e664, 0x28619311}, + {0x99e10000, 0x406e0000, 0xd04a1d00, 0x3d450000, 0x3dc222ee, 0xae34d136, 0x81e78d70, 0xb6b6c359, 0xd0f50000, 0xcc840000, 0x8d5d0500, 0x1aec0000, 0x1d1a51b2, 0xf3739b31, 0x0dbc4449, 0xa60624eb}, + {0xaee70000, 0xac8e0000, 0xffe71080, 0x55db0000, 0xe00874b9, 0x9ffa96d1, 0x572ed364, 0x6512928d, 0x64c20000, 0x7b1b0000, 0x7ede0900, 0xb1190000, 0x27f46a34, 0x0a01260d, 0x9473acea, 0x0f3328be}, + {0x62f30000, 0x09ed0000, 0xa55e1700, 0x6e8b0000, 0xabd86746, 0x1861a2c9, 0x3e6d9ba5, 0xaf481573, 0xe55c0000, 0x974c0000, 0x18ec0b80, 0x24ea0000, 0x7a5d4236, 0x42f51ab1, 0x72290ec7, 0x81549f44}, + {0x2f790000, 0x40d90000, 0x99d51200, 0xc0280000, 0xbda15cbb, 0xd70eaa6d, 0xb1747149, 0xeb752577, 0x29480000, 0x322f0000, 0x42550c00, 0x1fba0000, 0x318d51c9, 0xc56e2ea9, 0x1b6a4606, 0x4b0e18ba}, + {0xe36d0000, 0xe5ba0000, 0xc36c1580, 0xfb780000, 0xf6714f44, 0x50959e75, 0xd8373988, 0x212fa289, 0xa8d60000, 0xde780000, 0x24670e80, 0x8a490000, 0x6c2479cb, 0x8d9a1215, 0xfd30e42b, 0xc569af40}, + {0xd6c40000, 0xbe720000, 0x56dd1b00, 0xc57e0000, 0x91365cc0, 0xe1131ff5, 0xa7a27306, 0x067d1926, 0x666d0000, 0xcc330000, 0xc4c20a00, 0xe7810000, 0x9d792fe7, 0x8a49e06a, 0x3d2fb870, 0xfbc5c2c5}, + {0x1ad00000, 0x1b110000, 0x0c641c80, 0xfe2e0000, 0xdae64f3f, 0x66882bed, 0xcee13bc7, 0xcc279ed8, 0xe7f30000, 0x20640000, 0xa2f00880, 0x72720000, 0xc0d007e5, 0xc2bddcd6, 0xdb751a5d, 0x75a2753f}, + {0x575a0000, 0x52250000, 0x30ef1980, 0x508d0000, 0xcc9f74c2, 0xa9e72349, 0x41f8d12b, 0x881aaedc, 0x2be70000, 0x85070000, 0xf8490f00, 0x49220000, 0x8b00141a, 0x4526e8ce, 0xb236529c, 0xbff8f2c1}, + {0x9b4e0000, 0xf7460000, 0x6a561e00, 0x6bdd0000, 0x874f673d, 0x2e7c1751, 0x28bb99ea, 0x42402922, 0xaa790000, 0x69500000, 0x9e7b0d80, 0xdcd10000, 0xd6a93c18, 0x0dd2d472, 0x546cf0b1, 0x319f453b}, + {0x1e4e0000, 0xdecf0000, 0x6df80180, 0x77240000, 0xec47079e, 0xf4a0694e, 0xcda31812, 0x98aa496e, 0xb2060000, 0xc5690000, 0x28031200, 0x74670000, 0xb6c236f4, 0xeb1239f8, 0x33d1dfec, 0x094e3198}, + {0xd25a0000, 0x7bac0000, 0x37410600, 0x4c740000, 0xa7971461, 0x733b5d56, 0xa4e050d3, 0x52f0ce90, 0x33980000, 0x293e0000, 0x4e311080, 0xe1940000, 0xeb6b1ef6, 0xa3e60544, 0xd58b7dc1, 0x87298662}, + {0x9fd00000, 0x32980000, 0x0bca0300, 0xe2d70000, 0xb1ee2f9c, 0xbc5455f2, 0x2bf9ba3f, 0x16cdfe94, 0xff8c0000, 0x8c5d0000, 0x14881700, 0xdac40000, 0xa0bb0d09, 0x247d315c, 0xbcc83500, 0x4d73019c}, + {0x53c40000, 0x97fb0000, 0x51730480, 0xd9870000, 0xfa3e3c63, 0x3bcf61ea, 0x42baf2fe, 0xdc97796a, 0x7e120000, 0x600a0000, 0x72ba1580, 0x4f370000, 0xfd12250b, 0x6c890de0, 0x5a92972d, 0xc314b666}, + {0x666d0000, 0xcc330000, 0xc4c20a00, 0xe7810000, 0x9d792fe7, 0x8a49e06a, 0x3d2fb870, 0xfbc5c2c5, 0xb0a90000, 0x72410000, 0x921f1100, 0x22ff0000, 0x0c4f7327, 0x6b5aff9f, 0x9a8dcb76, 0xfdb8dbe3}, + {0xaa790000, 0x69500000, 0x9e7b0d80, 0xdcd10000, 0xd6a93c18, 0x0dd2d472, 0x546cf0b1, 0x319f453b, 0x31370000, 0x9e160000, 0xf42d1380, 0xb70c0000, 0x51e65b25, 0x23aec323, 0x7cd7695b, 0x73df6c19}, + {0xe7f30000, 0x20640000, 0xa2f00880, 0x72720000, 0xc0d007e5, 0xc2bddcd6, 0xdb751a5d, 0x75a2753f, 0xfd230000, 0x3b750000, 0xae941400, 0x8c5c0000, 0x1a3648da, 0xa435f73b, 0x1594219a, 0xb985ebe7}, + {0x2be70000, 0x85070000, 0xf8490f00, 0x49220000, 0x8b00141a, 0x4526e8ce, 0xb236529c, 0xbff8f2c1, 0x7cbd0000, 0xd7220000, 0xc8a61680, 0x19af0000, 0x479f60d8, 0xecc1cb87, 0xf3ce83b7, 0x37e25c1d}, + {0x1ce10000, 0x69e70000, 0xd7e40280, 0x21bc0000, 0x56ca424d, 0x74e8af29, 0x64ff0c88, 0x6c5ca315, 0xc88a0000, 0x60bd0000, 0x3b251a80, 0xb25a0000, 0x7d715b5e, 0x15b376bb, 0x6a016b14, 0x9ed75048}, + {0xd0f50000, 0xcc840000, 0x8d5d0500, 0x1aec0000, 0x1d1a51b2, 0xf3739b31, 0x0dbc4449, 0xa60624eb, 0x49140000, 0x8cea0000, 0x5d171800, 0x27a90000, 0x20d8735c, 0x5d474a07, 0x8c5bc939, 0x10b0e7b2}, + {0x9d7f0000, 0x85b00000, 0xb1d60000, 0xb44f0000, 0x0b636a4f, 0x3c1c9395, 0x82a5aea5, 0xe23b14ef, 0x85000000, 0x29890000, 0x07ae1f80, 0x1cf90000, 0x6b0860a3, 0xdadc7e1f, 0xe51881f8, 0xdaea604c}, + {0x516b0000, 0x20d30000, 0xeb6f0780, 0x8f1f0000, 0x40b379b0, 0xbb87a78d, 0xebe6e664, 0x28619311, 0x049e0000, 0xc5de0000, 0x619c1d00, 0x890a0000, 0x36a148a1, 0x922842a3, 0x034223d5, 0x548dd7b6}, + {0x64c20000, 0x7b1b0000, 0x7ede0900, 0xb1190000, 0x27f46a34, 0x0a01260d, 0x9473acea, 0x0f3328be, 0xca250000, 0xd7950000, 0x81391980, 0xe4c20000, 0xc7fc1e8d, 0x95fbb0dc, 0xc35d7f8e, 0x6a21ba33}, + {0xa8d60000, 0xde780000, 0x24670e80, 0x8a490000, 0x6c2479cb, 0x8d9a1215, 0xfd30e42b, 0xc569af40, 0x4bbb0000, 0x3bc20000, 0xe70b1b00, 0x71310000, 0x9a55368f, 0xdd0f8c60, 0x2507dda3, 0xe4460dc9}, + {0xe55c0000, 0x974c0000, 0x18ec0b80, 0x24ea0000, 0x7a5d4236, 0x42f51ab1, 0x72290ec7, 0x81549f44, 0x87af0000, 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0x185b0000, 0x9cf80001, 0x304eef00, 0xd1780000, 0xc5af0be6, 0x1f6acc6d, 0x9b010bb6, 0xfed1b055}, + {0x0f6a0000, 0x30b20001, 0x235d2880, 0x6bc90000, 0x44817340, 0xda88cc44, 0xb1142801, 0xdce78d85, 0xd6e00000, 0x8eb30001, 0xd0ebeb80, 0xbcb00000, 0x34f25dca, 0x18b93e12, 0x5b1e57ed, 0xc07dddd0}, + {0xc37e0000, 0x95d10001, 0x79e42f00, 0x50990000, 0x0f5160bf, 0x5d13f85c, 0xd85760c0, 0x16bd0a7b, 0x577e0000, 0x62e40001, 0xb6d9e900, 0x29430000, 0x695b75c8, 0x504d02ae, 0xbd44f5c0, 0x4e1a6a2a}, + {0x8ef40000, 0xdce50001, 0x456f2a00, 0xfe3a0000, 0x19285b42, 0x927cf0f8, 0x574e8a2c, 0x52803a7f, 0x9b6a0000, 0xc7870001, 0xec60ee80, 0x12130000, 0x228b6637, 0xd7d636b6, 0xd407bd01, 0x8440edd4}, + {0x42e00000, 0x79860001, 0x1fd62d80, 0xc56a0000, 0x52f848bd, 0x15e7c4e0, 0x3e0dc2ed, 0x98dabd81, 0x1af40000, 0x2bd00001, 0x8a52ec00, 0x87e00000, 0x7f224e35, 0x9f220a0a, 0x325d1f2c, 0x0a275a2e}, + {0xd9ae0000, 0x8ec00001, 0x75803380, 0xaeb70000, 0xd5b72f80, 0x3b9bd3b1, 0x16b65b07, 0xda9a94a3, 0xb08d0000, 0x42800001, 0x1429e180, 0x5b310000, 0xa98b722d, 0x92f0de78, 0x6631ef9d, 0x3bb81f15}, + {0x15ba0000, 0x2ba30001, 0x2f393400, 0x95e70000, 0x9e673c7f, 0xbc00e7a9, 0x7ff513c6, 0x10c0135d, 0x31130000, 0xaed70001, 0x721be300, 0xcec20000, 0xf4225a2f, 0xda04e2c4, 0x806b4db0, 0xb5dfa8ef}, + {0x58300000, 0x62970001, 0x13b23100, 0x3b440000, 0x881e0782, 0x736fef0d, 0xf0ecf92a, 0x54fd2359, 0xfd070000, 0x0bb40001, 0x28a2e480, 0xf5920000, 0xbff249d0, 0x5d9fd6dc, 0xe9280571, 0x7f852f11}, + {0x94240000, 0xc7f40001, 0x490b3680, 0x00140000, 0xc3ce147d, 0xf4f4db15, 0x99afb1eb, 0x9ea7a4a7, 0x7c990000, 0xe7e30001, 0x4e90e600, 0x60610000, 0xe25b61d2, 0x156bea60, 0x0f72a75c, 0xf1e298eb}, + {0xa18d0000, 0x9c3c0001, 0xdcba3800, 0x3e120000, 0xa48907f9, 0x45725a95, 0xe63afb65, 0xb9f51f08, 0xb2220000, 0xf5a80001, 0xae35e280, 0x0da90000, 0x130637fe, 0x12b8181f, 0xcf6dfb07, 0xcf4ef56e}, + {0x6d990000, 0x395f0001, 0x86033f80, 0x05420000, 0xef591406, 0xc2e96e8d, 0x8f79b3a4, 0x73af98f6, 0x33bc0000, 0x19ff0001, 0xc807e000, 0x985a0000, 0x4eaf1ffc, 0x5a4c24a3, 0x2937592a, 0x41294294}, + {0x20130000, 0x706b0001, 0xba883a80, 0xabe10000, 0xf9202ffb, 0x0d866629, 0x00605948, 0x3792a8f2, 0xffa80000, 0xbc9c0001, 0x92bee780, 0xa30a0000, 0x057f0c03, 0xddd710bb, 0x407411eb, 0x8b73c56a}, + {0xec070000, 0xd5080001, 0xe0313d00, 0x90b10000, 0xb2f03c04, 0x8a1d5231, 0x69231189, 0xfdc82f0c, 0x7e360000, 0x50cb0001, 0xf48ce500, 0x36f90000, 0x58d62401, 0x95232c07, 0xa62eb3c6, 0x05147290}, + {0xdb010000, 0x39e80001, 0xcf9c3080, 0xf82f0000, 0x6f3a6a53, 0xbbd315d6, 0xbfea4f9d, 0x2e6c7ed8, 0xca010000, 0xe7540001, 0x070fe900, 0x9d0c0000, 0x62381f87, 0x6c51913b, 0x3fe15b65, 0xac217ec5}, + {0x17150000, 0x9c8b0001, 0x95253700, 0xc37f0000, 0x24ea79ac, 0x3c4821ce, 0xd6a9075c, 0xe436f926, 0x4b9f0000, 0x0b030001, 0x613deb80, 0x08ff0000, 0x3f913785, 0x24a5ad87, 0xd9bbf948, 0x2246c93f}, + {0x5a9f0000, 0xd5bf0001, 0xa9ae3200, 0x6ddc0000, 0x32934251, 0xf327296a, 0x59b0edb0, 0xa00bc922, 0x878b0000, 0xae600001, 0x3b84ec00, 0x33af0000, 0x7441247a, 0xa33e999f, 0xb0f8b189, 0xe81c4ec1}, + {0x968b0000, 0x70dc0001, 0xf3173580, 0x568c0000, 0x794351ae, 0x74bc1d72, 0x30f3a571, 0x6a514edc, 0x06150000, 0x42370001, 0x5db6ee80, 0xa65c0000, 0x29e80c78, 0xebcaa523, 0x56a213a4, 0x667bf93b}, + {0xa3220000, 0x2b140001, 0x66a63b00, 0x688a0000, 0x1e04422a, 0xc53a9cf2, 0x4f66efff, 0x4d03f573, 0xc8ae0000, 0x507c0001, 0xbd13ea00, 0xcb940000, 0xd8b55a54, 0xec19575c, 0x96bd4fff, 0x58d794be}, + {0x6f360000, 0x8e770001, 0x3c1f3c80, 0x53da0000, 0x55d451d5, 0x42a1a8ea, 0x2625a73e, 0x8759728d, 0x49300000, 0xbc2b0001, 0xdb21e880, 0x5e670000, 0x851c7256, 0xa4ed6be0, 0x70e7edd2, 0xd6b02344}, + {0x22bc0000, 0xc7430001, 0x00943980, 0xfd790000, 0x43ad6a28, 0x8dcea04e, 0xa93c4dd2, 0xc3644289, 0x85240000, 0x19480001, 0x8198ef00, 0x65370000, 0xcecc61a9, 0x23765ff8, 0x19a4a513, 0x1ceaa4ba}, + {0xeea80000, 0x62200001, 0x5a2d3e00, 0xc6290000, 0x087d79d7, 0x0a559456, 0xc07f0513, 0x093ec577, 0x04ba0000, 0xf51f0001, 0xe7aaed80, 0xf0c40000, 0x936549ab, 0x6b826344, 0xfffe073e, 0x928d1340}, + {0x6ba80000, 0x4ba90001, 0x5d832180, 0xdad00000, 0x63751974, 0xd089ea49, 0x256784eb, 0xd3d4a53b, 0x1cc50000, 0x59260001, 0x51d2f200, 0x58720000, 0xf30e4347, 0x8d428ece, 0x98432863, 0xaa5c67e3}, + {0xa7bc0000, 0xeeca0001, 0x073a2600, 0xe1800000, 0x28a50a8b, 0x5712de51, 0x4c24cc2a, 0x198e22c5, 0x9d5b0000, 0xb5710001, 0x37e0f080, 0xcd810000, 0xaea76b45, 0xc5b6b272, 0x7e198a4e, 0x243bd019}, + {0xea360000, 0xa7fe0001, 0x3bb12300, 0x4f230000, 0x3edc3176, 0x987dd6f5, 0xc33d26c6, 0x5db312c1, 0x514f0000, 0x10120001, 0x6d59f700, 0xf6d10000, 0xe57778ba, 0x422d866a, 0x175ac28f, 0xee6157e7}, + {0x26220000, 0x029d0001, 0x61082480, 0x74730000, 0x750c2289, 0x1fe6e2ed, 0xaa7e6e07, 0x97e9953f, 0xd0d10000, 0xfc450001, 0x0b6bf580, 0x63220000, 0xb8de50b8, 0x0ad9bad6, 0xf10060a2, 0x6006e01d}, + {0x138b0000, 0x59550001, 0xf4b92a00, 0x4a750000, 0x124b310d, 0xae60636d, 0xd5eb2489, 0xb0bb2e90, 0x1e6a0000, 0xee0e0001, 0xebcef100, 0x0eea0000, 0x49830694, 0x0d0a48a9, 0x311f3cf9, 0x5eaa8d98}, + {0xdf9f0000, 0xfc360001, 0xae002d80, 0x71250000, 0x599b22f2, 0x29fb5775, 0xbca86c48, 0x7ae1a96e, 0x9ff40000, 0x02590001, 0x8dfcf380, 0x9b190000, 0x142a2e96, 0x45fe7415, 0xd7459ed4, 0xd0cd3a62}, + {0x92150000, 0xb5020001, 0x928b2880, 0xdf860000, 0x4fe2190f, 0xe6945fd1, 0x33b186a4, 0x3edc996a, 0x53e00000, 0xa73a0001, 0xd745f400, 0xa0490000, 0x5ffa3d69, 0xc265400d, 0xbe06d615, 0x1a97bd9c}, + {0x5e010000, 0x10610001, 0xc8322f00, 0xe4d60000, 0x04320af0, 0x610f6bc9, 0x5af2ce65, 0xf4861e94, 0xd27e0000, 0x4b6d0001, 0xb177f680, 0x35ba0000, 0x0253156b, 0x8a917cb1, 0x585c7438, 0x94f00a66}, + {0x69070000, 0xfc810001, 0xe79f2280, 0x8c480000, 0xd9f85ca7, 0x50c12c2e, 0x8c3b9071, 0x27224f40, 0x66490000, 0xfcf20001, 0x42f4fa80, 0x9e4f0000, 0x38bd2eed, 0x73e3c18d, 0xc1939c9b, 0x3dc50633}, + {0xa5130000, 0x59e20001, 0xbd262500, 0xb7180000, 0x92284f58, 0xd75a1836, 0xe578d8b0, 0xed78c8be, 0xe7d70000, 0x10a50001, 0x24c6f800, 0x0bbc0000, 0x651406ef, 0x3b17fd31, 0x27c93eb6, 0xb3a2b1c9}, + {0xe8990000, 0x10d60001, 0x81ad2000, 0x19bb0000, 0x845174a5, 0x18351092, 0x6a61325c, 0xa945f8ba, 0x2bc30000, 0xb5c60001, 0x7e7fff80, 0x30ec0000, 0x2ec41510, 0xbc8cc929, 0x4e8a7677, 0x79f83637}, + {0x248d0000, 0xb5b50001, 0xdb142780, 0x22eb0000, 0xcf81675a, 0x9fae248a, 0x03227a9d, 0x631f7f44, 0xaa5d0000, 0x59910001, 0x184dfd00, 0xa51f0000, 0x736d3d12, 0xf478f595, 0xa8d0d45a, 0xf79f81cd}, + {0x11240000, 0xee7d0001, 0x4ea52900, 0x1ced0000, 0xa8c674de, 0x2e28a50a, 0x7cb73013, 0x444dc4eb, 0x64e60000, 0x4bda0001, 0xf8e8f980, 0xc8d70000, 0x82306b3e, 0xf3ab07ea, 0x68cf8801, 0xc933ec48}, + {0xdd300000, 0x4b1e0001, 0x141c2e80, 0x27bd0000, 0xe3166721, 0xa9b39112, 0x15f478d2, 0x8e174315, 0xe5780000, 0xa78d0001, 0x9edafb00, 0x5d240000, 0xdf99433c, 0xbb5f3b56, 0x8e952a2c, 0x47545bb2}, + {0x90ba0000, 0x022a0001, 0x28972b80, 0x891e0000, 0xf56f5cdc, 0x66dc99b6, 0x9aed923e, 0xca2a7311, 0x296c0000, 0x02ee0001, 0xc463fc80, 0x66740000, 0x944950c3, 0x3cc40f4e, 0xe7d662ed, 0x8d0edc4c}, + {0x5cae0000, 0xa7490001, 0x722e2c00, 0xb24e0000, 0xbebf4f23, 0xe147adae, 0xf3aedaff, 0x0070f4ef, 0xa8f20000, 0xeeb90001, 0xa251fe00, 0xf3870000, 0xc9e078c1, 0x743033f2, 0x018cc0c0, 0x03696bb6}, + {0xc7e00000, 0x500f0001, 0x18783200, 0xd9930000, 0x39f0281e, 0xcf3bbaff, 0xdb154315, 0x4230ddcd, 0x028b0000, 0x87e90001, 0x3c2af380, 0x2f560000, 0x1f4944d9, 0x79e2e780, 0x55e03071, 0x32f62e8d}, + {0x0bf40000, 0xf56c0001, 0x42c13580, 0xe2c30000, 0x72203be1, 0x48a08ee7, 0xb2560bd4, 0x886a5a33, 0x83150000, 0x6bbe0001, 0x5a18f100, 0xbaa50000, 0x42e06cdb, 0x3116db3c, 0xb3ba925c, 0xbc919977}, + {0x467e0000, 0xbc580001, 0x7e4a3080, 0x4c600000, 0x6459001c, 0x87cf8643, 0x3d4fe138, 0xcc576a37, 0x4f010000, 0xcedd0001, 0x00a1f680, 0x81f50000, 0x09307f24, 0xb68def24, 0xdaf9da9d, 0x76cb1e89}, + {0x8a6a0000, 0x193b0001, 0x24f33700, 0x77300000, 0x2f8913e3, 0x0054b25b, 0x540ca9f9, 0x060dedc9, 0xce9f0000, 0x228a0001, 0x6693f400, 0x14060000, 0x54995726, 0xfe79d398, 0x3ca378b0, 0xf8aca973}, + {0xbfc30000, 0x42f30001, 0xb1423980, 0x49360000, 0x48ce0067, 0xb1d233db, 0x2b99e377, 0x215f5666, 0x00240000, 0x30c10001, 0x8636f080, 0x79ce0000, 0xa5c4010a, 0xf9aa21e7, 0xfcbc24eb, 0xc600c4f6}, + {0x73d70000, 0xe7900001, 0xebfb3e00, 0x72660000, 0x031e1398, 0x364907c3, 0x42daabb6, 0xeb05d198, 0x81ba0000, 0xdc960001, 0xe004f200, 0xec3d0000, 0xf86d2908, 0xb15e1d5b, 0x1ae686c6, 0x4867730c}, + {0x3e5d0000, 0xaea40001, 0xd7703b00, 0xdcc50000, 0x15672865, 0xf9260f67, 0xcdc3415a, 0xaf38e19c, 0x4dae0000, 0x79f50001, 0xbabdf580, 0xd76d0000, 0xb3bd3af7, 0x36c52943, 0x73a5ce07, 0x823df4f2}, + {0xf2490000, 0x0bc70001, 0x8dc93c80, 0xe7950000, 0x5eb73b9a, 0x7ebd3b7f, 0xa480099b, 0x65626662, 0xcc300000, 0x95a20001, 0xdc8ff700, 0x429e0000, 0xee1412f5, 0x7e3115ff, 0x95ff6c2a, 0x0c5a4308}, + {0xc54f0000, 0xe7270001, 0xa2643100, 0x8f0b0000, 0x837d6dcd, 0x4f737c98, 0x7249578f, 0xb6c637b6, 0x78070000, 0x223d0001, 0x2f0cfb00, 0xe96b0000, 0xd4fa2973, 0x8743a8c3, 0x0c308489, 0xa56f4f5d}, + {0x095b0000, 0x42440001, 0xf8dd3680, 0xb45b0000, 0xc8ad7e32, 0xc8e84880, 0x1b0a1f4e, 0x7c9cb048, 0xf9990000, 0xce6a0001, 0x493ef980, 0x7c980000, 0x89530171, 0xcfb7947f, 0xea6a26a4, 0x2b08f8a7}, + {0x44d10000, 0x0b700001, 0xc4563380, 0x1af80000, 0xded445cf, 0x07874024, 0x9413f5a2, 0x38a1804c, 0x358d0000, 0x6b090001, 0x1387fe00, 0x47c80000, 0xc283128e, 0x482ca067, 0x83296e65, 0xe1527f59}, + {0x88c50000, 0xae130001, 0x9eef3400, 0x21a80000, 0x95045630, 0x801c743c, 0xfd50bd63, 0xf2fb07b2, 0xb4130000, 0x875e0001, 0x75b5fc80, 0xd23b0000, 0x9f2a3a8c, 0x00d89cdb, 0x6573cc48, 0x6f35c8a3}, + {0xbd6c0000, 0xf5db0001, 0x0b5e3a80, 0x1fae0000, 0xf24345b4, 0x319af5bc, 0x82c5f7ed, 0xd5a9bc1d, 0x7aa80000, 0x95150001, 0x9510f800, 0xbff30000, 0x6e776ca0, 0x070b6ea4, 0xa56c9013, 0x5199a526}, + {0x71780000, 0x50b80001, 0x51e73d00, 0x24fe0000, 0xb993564b, 0xb601c1a4, 0xeb86bf2c, 0x1ff33be3, 0xfb360000, 0x79420001, 0xf322fa80, 0x2a000000, 0x33de44a2, 0x4fff5218, 0x4336323e, 0xdffe12dc}, + {0x3cf20000, 0x198c0001, 0x6d6c3800, 0x8a5d0000, 0xafea6db6, 0x796ec900, 0x649f55c0, 0x5bce0be7, 0x37220000, 0xdc210001, 0xa99bfd00, 0x11500000, 0x780e575d, 0xc8646600, 0x2a757aff, 0x15a49522}, + {0xf0e60000, 0xbcef0001, 0x37d53f80, 0xb10d0000, 0xe43a7e49, 0xfef5fd18, 0x0ddc1d01, 0x91948c19, 0xb6bc0000, 0x30760001, 0xcfa9ff80, 0x84a30000, 0x25a77f5f, 0x80905abc, 0xcc2fd8d2, 0x9bc322d8}, +} +var T512_40 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0x58430000, 0x807e0000, 0x78330001, 0xc66b3800, 0xe7375cdc, 0x79ad3fdd, 0xac73fe6f, 0x3a4479b1, 0x1d5a0000, 0x2b720000, 0x488d0000, 0xaf611800, 0x25cb2ec5, 0xc879bfd0, 0x81a20429, 0x1e7536a6}, + {0x1d5a0000, 0x2b720000, 0x488d0000, 0xaf611800, 0x25cb2ec5, 0xc879bfd0, 0x81a20429, 0x1e7536a6, 0x45190000, 0xab0c0000, 0x30be0001, 0x690a2000, 0xc2fc7219, 0xb1d4800d, 0x2dd1fa46, 0x24314f17}, + {0x45190000, 0xab0c0000, 0x30be0001, 0x690a2000, 0xc2fc7219, 0xb1d4800d, 0x2dd1fa46, 0x24314f17, 0x58430000, 0x807e0000, 0x78330001, 0xc66b3800, 0xe7375cdc, 0x79ad3fdd, 0xac73fe6f, 0x3a4479b1}, + {0xa53b0000, 0x14260000, 0x4e30001e, 0x7cae0000, 0x8f9e0dd5, 0x78dfaa3d, 0xf73168d8, 0x0b1b4946, 0x07ed0000, 0xb2500000, 0x8774000a, 0x970d0000, 0x437223ae, 0x48c76ea4, 0xf4786222, 0x9075b1ce}, + {0xfd780000, 0x94580000, 0x3603001f, 0xbac53800, 0x68a95109, 0x017295e0, 0x5b4296b7, 0x315f30f7, 0x1ab70000, 0x99220000, 0xcff9000a, 0x386c1800, 0x66b90d6b, 0x80bed174, 0x75da660b, 0x8e008768}, + {0xb8610000, 0x3f540000, 0x06bd001e, 0xd3cf1800, 0xaa552310, 0xb0a615ed, 0x76936cf1, 0x156e7fe0, 0x42f40000, 0x195c0000, 0xb7ca000b, 0xfe072000, 0x818e51b7, 0xf913eea9, 0xd9a99864, 0xb444fed9}, + {0xe0220000, 0xbf2a0000, 0x7e8e001f, 0x15a42000, 0x4d627fcc, 0xc90b2a30, 0xdae0929e, 0x2f2a0651, 0x5fae0000, 0x322e0000, 0xff47000b, 0x51663800, 0xa4457f72, 0x316a5179, 0x580b9c4d, 0xaa31c87f}, + {0x07ed0000, 0xb2500000, 0x8774000a, 0x970d0000, 0x437223ae, 0x48c76ea4, 0xf4786222, 0x9075b1ce, 0xa2d60000, 0xa6760000, 0xc9440014, 0xeba30000, 0xccec2e7b, 0x3018c499, 0x03490afa, 0x9b6ef888}, + {0x5fae0000, 0x322e0000, 0xff47000b, 0x51663800, 0xa4457f72, 0x316a5179, 0x580b9c4d, 0xaa31c87f, 0xbf8c0000, 0x8d040000, 0x81c90014, 0x44c21800, 0xe92700be, 0xf8617b49, 0x82eb0ed3, 0x851bce2e}, + {0x1ab70000, 0x99220000, 0xcff9000a, 0x386c1800, 0x66b90d6b, 0x80bed174, 0x75da660b, 0x8e008768, 0xe7cf0000, 0x0d7a0000, 0xf9fa0015, 0x82a92000, 0x0e105c62, 0x81cc4494, 0x2e98f0bc, 0xbf5fb79f}, + {0x42f40000, 0x195c0000, 0xb7ca000b, 0xfe072000, 0x818e51b7, 0xf913eea9, 0xd9a99864, 0xb444fed9, 0xfa950000, 0x26080000, 0xb1770015, 0x2dc83800, 0x2bdb72a7, 0x49b5fb44, 0xaf3af495, 0xa12a8139}, + {0xa2d60000, 0xa6760000, 0xc9440014, 0xeba30000, 0xccec2e7b, 0x3018c499, 0x03490afa, 0x9b6ef888, 0xa53b0000, 0x14260000, 0x4e30001e, 0x7cae0000, 0x8f9e0dd5, 0x78dfaa3d, 0xf73168d8, 0x0b1b4946}, + {0xfa950000, 0x26080000, 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0xdf5f1f40, 0x9975d43a, 0x1201bf3e, 0x73d0455e}, + {0x17450000, 0x70b90000, 0xc2930044, 0x1ce71800, 0x24e31894, 0x6a1e88a4, 0x13d08f4a, 0xea57675b, 0x94130000, 0x46af0000, 0x5b98006d, 0x773d2000, 0x3868439c, 0xe0d8ebe7, 0xbe724151, 0x49943cef}, + {0x4f060000, 0xf0c70000, 0xbaa00045, 0xda8c2000, 0xc3d44448, 0x13b3b779, 0xbfa37125, 0xd0131eea, 0x89490000, 0x6ddd0000, 0x1315006d, 0xd85c3800, 0x1da36d59, 0x28a15437, 0x3fd04578, 0x57e10a49}, + {0xaf240000, 0x4fed0000, 0xc42e005a, 0xcf280000, 0x8eb63b84, 0xdab89d49, 0x6543e3bb, 0xff3918bb, 0xd6e70000, 0x5ff30000, 0xec520066, 0x893a0000, 0xb9e6122b, 0x19cb054e, 0x67dbd935, 0xfdd0c236}, + {0xf7670000, 0xcf930000, 0xbc1d005b, 0x09433800, 0x69816758, 0xa315a294, 0xc9301dd4, 0xc57d610a, 0xcbbd0000, 0x74810000, 0xa4df0066, 0x265b1800, 0x9c2d3cee, 0xd1b2ba9e, 0xe679dd1c, 0xe3a5f490}, + {0xb27e0000, 0x649f0000, 0x8ca3005a, 0x60491800, 0xab7d1541, 0x12c12299, 0xe4e1e792, 0xe14c2e1d, 0x93fe0000, 0xf4ff0000, 0xdcec0067, 0xe0302000, 0x7b1a6032, 0xa81f8543, 0x4a0a2373, 0xd9e18d21}, + {0xea3d0000, 0xe4e10000, 0xf490005b, 0xa6222000, 0x4c4a499d, 0x6b6c1d44, 0x489219fd, 0xdb0857ac, 0x8ea40000, 0xdf8d0000, 0x94610067, 0x4f513800, 0x5ed14ef7, 0x60663a93, 0xcba8275a, 0xc794bb87}, + {0x0df20000, 0xe99b0000, 0x0d6a004e, 0x248b0000, 0x425a15ff, 0xeaa059d0, 0x660ae941, 0x6457e033, 0x73dc0000, 0x4bd50000, 0xa2620078, 0xf5940000, 0x36781ffe, 0x6114af73, 0x90eab1ed, 0xf6cb8b70}, + {0x55b10000, 0x69e50000, 0x7559004f, 0xe2e03800, 0xa56d4923, 0x930d660d, 0xca79172e, 0x5e139982, 0x6e860000, 0x60a70000, 0xeaef0078, 0x5af51800, 0x13b3313b, 0xa96d10a3, 0x1148b5c4, 0xe8bebdd6}, + {0x10a80000, 0xc2e90000, 0x45e7004e, 0x8bea1800, 0x67913b3a, 0x22d9e600, 0xe7a8ed68, 0x7a22d695, 0x36c50000, 0xe0d90000, 0x92dc0079, 0x9c9e2000, 0xf4846de7, 0xd0c02f7e, 0xbd3b4bab, 0xd2fac467}, + {0x48eb0000, 0x42970000, 0x3dd4004f, 0x4d812000, 0x80a667e6, 0x5b74d9dd, 0x4bdb1307, 0x4066af24, 0x2b9f0000, 0xcbab0000, 0xda510079, 0x33ff3800, 0xd14f4322, 0x18b990ae, 0x3c994f82, 0xcc8ff2c1}, + {0xa8c90000, 0xfdbd0000, 0x435a0050, 0x58250000, 0xcdc4182a, 0x927ff3ed, 0x913b8199, 0x6f4ca975, 0x74310000, 0xf9850000, 0x25160072, 0x62990000, 0x750a3c50, 0x29d3c1d7, 0x6492d3cf, 0x66be3abe}, + {0xf08a0000, 0x7dc30000, 0x3b690051, 0x9e4e3800, 0x2af344f6, 0xebd2cc30, 0x3d487ff6, 0x5508d0c4, 0x696b0000, 0xd2f70000, 0x6d9b0072, 0xcdf81800, 0x50c11295, 0xe1aa7e07, 0xe530d7e6, 0x78cb0c18}, + {0xb5930000, 0xd6cf0000, 0x0bd70050, 0xf7441800, 0xe80f36ef, 0x5a064c3d, 0x109985b0, 0x71399fd3, 0x31280000, 0x52890000, 0x15a80073, 0x0b932000, 0xb7f64e49, 0x980741da, 0x49432989, 0x428f75a9}, + {0xedd00000, 0x56b10000, 0x73e40051, 0x312f2000, 0x0f386a33, 0x23ab73e0, 0xbcea7bdf, 0x4b7de662, 0x2c720000, 0x79fb0000, 0x5d250073, 0xa4f23800, 0x923d608c, 0x507efe0a, 0xc8e12da0, 0x5cfa430f}, + {0x82870000, 0x445f0000, 0xf5d1006a, 0x48c80000, 0xf07031cb, 0xc3c9a613, 0x3ae7fb0f, 0x12322569, 0xdac80000, 0x36c00000, 0x15ae0060, 0x0bb10000, 0x6b697976, 0x248dd0a9, 0x67c3ff89, 0xb513679b}, + {0xdac40000, 0xc4210000, 0x8de2006b, 0x8ea33800, 0x17476d17, 0xba6499ce, 0x96940560, 0x28765cd8, 0xc7920000, 0x1db20000, 0x5d230060, 0xa4d01800, 0x4ea257b3, 0xecf46f79, 0xe661fba0, 0xab66513d}, + {0x9fdd0000, 0x6f2d0000, 0xbd5c006a, 0xe7a91800, 0xd5bb1f0e, 0x0bb019c3, 0xbb45ff26, 0x0c4713cf, 0x9fd10000, 0x9dcc0000, 0x25100061, 0x62bb2000, 0xa9950b6f, 0x955950a4, 0x4a1205cf, 0x9122288c}, + {0xc79e0000, 0xef530000, 0xc56f006b, 0x21c22000, 0x328c43d2, 0x721d261e, 0x17360149, 0x36036a7e, 0x828b0000, 0xb6be0000, 0x6d9d0061, 0xcdda3800, 0x8c5e25aa, 0x5d20ef74, 0xcbb001e6, 0x8f571e2a}, + {0x27bc0000, 0x50790000, 0xbbe10074, 0x34660000, 0x7fee3c1e, 0xbb160c2e, 0xcdd693d7, 0x19296c2f, 0xdd250000, 0x84900000, 0x92da006a, 0x9cbc0000, 0x281b5ad8, 0x6c4abe0d, 0x93bb9dab, 0x2566d655}, + {0x7fff0000, 0xd0070000, 0xc3d20075, 0xf20d3800, 0x98d960c2, 0xc2bb33f3, 0x61a56db8, 0x236d159e, 0xc07f0000, 0xafe20000, 0xda57006a, 0x33dd1800, 0x0dd0741d, 0xa43301dd, 0x12199982, 0x3b13e0f3}, + {0x3ae60000, 0x7b0b0000, 0xf36c0074, 0x9b071800, 0x5a2512db, 0x736fb3fe, 0x4c7497fe, 0x075c5a89, 0x983c0000, 0x2f9c0000, 0xa264006b, 0xf5b62000, 0xeae728c1, 0xdd9e3e00, 0xbe6a67ed, 0x01579942}, + {0x62a50000, 0xfb750000, 0x8b5f0075, 0x5d6c2000, 0xbd124e07, 0x0ac28c23, 0xe0076991, 0x3d182338, 0x85660000, 0x04ee0000, 0xeae9006b, 0x5ad73800, 0xcf2c0604, 0x15e781d0, 0x3fc863c4, 0x1f22afe4}, + {0x856a0000, 0xf60f0000, 0x72a50060, 0xdfc50000, 0xb3021265, 0x8b0ec8b7, 0xce9f992d, 0x824794a7, 0x781e0000, 0x90b60000, 0xdcea0074, 0xe0120000, 0xa785570d, 0x14951430, 0x648af573, 0x2e7d9f13}, + {0xdd290000, 0x76710000, 0x0a960061, 0x19ae3800, 0x54354eb9, 0xf2a3f76a, 0x62ec6742, 0xb803ed16, 0x65440000, 0xbbc40000, 0x94670074, 0x4f731800, 0x824e79c8, 0xdcecabe0, 0xe528f15a, 0x3008a9b5}, + {0x98300000, 0xdd7d0000, 0x3a280060, 0x70a41800, 0x96c93ca0, 0x43777767, 0x4f3d9d04, 0x9c32a201, 0x3d070000, 0x3bba0000, 0xec540075, 0x89182000, 0x65792514, 0xa541943d, 0x495b0f35, 0x0a4cd004}, + {0xc0730000, 0x5d030000, 0x421b0061, 0xb6cf2000, 0x71fe607c, 0x3ada48ba, 0xe34e636b, 0xa676dbb0, 0x205d0000, 0x10c80000, 0xa4d90075, 0x26793800, 0x40b20bd1, 0x6d382bed, 0xc8f90b1c, 0x1439e6a2}, + {0x20510000, 0xe2290000, 0x3c95007e, 0xa36b0000, 0x3c9c1fb0, 0xf3d1628a, 0x39aef1f5, 0x895cdde1, 0x7ff30000, 0x22e60000, 0x5b9e007e, 0x771f0000, 0xe4f774a3, 0x5c527a94, 0x90f29751, 0xbe082edd}, + {0x78120000, 0x62570000, 0x44a6007f, 0x65003800, 0xdbab436c, 0x8a7c5d57, 0x95dd0f9a, 0xb318a450, 0x62a90000, 0x09940000, 0x1313007e, 0xd87e1800, 0xc13c5a66, 0x942bc544, 0x11509378, 0xa07d187b}, + {0x3d0b0000, 0xc95b0000, 0x7418007e, 0x0c0a1800, 0x19573175, 0x3ba8dd5a, 0xb80cf5dc, 0x9729eb47, 0x3aea0000, 0x89ea0000, 0x6b20007f, 0x1e152000, 0x260b06ba, 0xed86fa99, 0xbd236d17, 0x9a3961ca}, + {0x65480000, 0x49250000, 0x0c2b007f, 0xca612000, 0xfe606da9, 0x4205e287, 0x147f0bb3, 0xad6d92f6, 0x27b00000, 0xa2980000, 0x23ad007f, 0xb1743800, 0x03c0287f, 0x25ff4549, 0x3c81693e, 0x844c576c}, +} +var T512_48 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0xe6280000, 0x4c4b0000, 0xa8550000, 0xd3d002e0, 0xd86130b8, 0x98a7b0da, 0x289506b4, 0xd75a4897, 0xf0c50000, 0x59230000, 0x45820000, 0xe18d00c0, 0x3b6d0631, 0xc2ed5699, 0xcbe0fe1c, 0x56a7b19f}, + {0xf0c50000, 0x59230000, 0x45820000, 0xe18d00c0, 0x3b6d0631, 0xc2ed5699, 0xcbe0fe1c, 0x56a7b19f, 0x16ed0000, 0x15680000, 0xedd70000, 0x325d0220, 0xe30c3689, 0x5a4ae643, 0xe375f8a8, 0x81fdf908}, + {0x16ed0000, 0x15680000, 0xedd70000, 0x325d0220, 0xe30c3689, 0x5a4ae643, 0xe375f8a8, 0x81fdf908, 0xe6280000, 0x4c4b0000, 0xa8550000, 0xd3d002e0, 0xd86130b8, 0x98a7b0da, 0x289506b4, 0xd75a4897}, + {0xb4310000, 0x77330000, 0xb15d0000, 0x7fd004e0, 0x78a26138, 0xd116c35d, 0xd256d489, 0x4e6f74de, 0xe3060000, 0xbdc10000, 0x87130000, 0xbff20060, 0x2eba0a1a, 0x8db53751, 0x73c5ab06, 0x5bd61539}, + {0x52190000, 0x3b780000, 0x19080000, 0xac000600, 0xa0c35180, 0x49b17387, 0xfac3d23d, 0x99353c49, 0x13c30000, 0xe4e20000, 0xc2910000, 0x5e7f00a0, 0x15d70c2b, 0x4f5861c8, 0xb825551a, 0x0d71a4a6}, + {0x44f40000, 0x2e100000, 0xf4df0000, 0x9e5d0420, 0x43cf6709, 0x13fb95c4, 0x19b62a95, 0x18c8c541, 0xf5eb0000, 0xa8a90000, 0x6ac40000, 0x8daf0240, 0xcdb63c93, 0xd7ffd112, 0x90b053ae, 0xda2bec31}, + {0xa2dc0000, 0x625b0000, 0x5c8a0000, 0x4d8d06c0, 0x9bae57b1, 0x8b5c251e, 0x31232c21, 0xcf928dd6, 0x052e0000, 0xf18a0000, 0x2f460000, 0x6c220280, 0xf6db3aa2, 0x1512878b, 0x5b50adb2, 0x8c8c5dae}, + {0xe3060000, 0xbdc10000, 0x87130000, 0xbff20060, 0x2eba0a1a, 0x8db53751, 0x73c5ab06, 0x5bd61539, 0x57370000, 0xcaf20000, 0x364e0000, 0xc0220480, 0x56186b22, 0x5ca3f40c, 0xa1937f8f, 0x15b961e7}, + {0x052e0000, 0xf18a0000, 0x2f460000, 0x6c220280, 0xf6db3aa2, 0x1512878b, 0x5b50adb2, 0x8c8c5dae, 0xa7f20000, 0x93d10000, 0x73cc0000, 0x21af0440, 0x6d756d13, 0x9e4ea295, 0x6a738193, 0x431ed078}, + {0x13c30000, 0xe4e20000, 0xc2910000, 0x5e7f00a0, 0x15d70c2b, 0x4f5861c8, 0xb825551a, 0x0d71a4a6, 0x41da0000, 0xdf9a0000, 0xdb990000, 0xf27f06a0, 0xb5145dab, 0x06e9124f, 0x42e68727, 0x944498ef}, + {0xf5eb0000, 0xa8a90000, 0x6ac40000, 0x8daf0240, 0xcdb63c93, 0xd7ffd112, 0x90b053ae, 0xda2bec31, 0xb11f0000, 0x86b90000, 0x9e1b0000, 0x13f20660, 0x8e795b9a, 0xc40444d6, 0x8906793b, 0xc2e32970}, + {0x57370000, 0xcaf20000, 0x364e0000, 0xc0220480, 0x56186b22, 0x5ca3f40c, 0xa1937f8f, 0x15b961e7, 0xb4310000, 0x77330000, 0xb15d0000, 0x7fd004e0, 0x78a26138, 0xd116c35d, 0xd256d489, 0x4e6f74de}, + {0xb11f0000, 0x86b90000, 0x9e1b0000, 0x13f20660, 0x8e795b9a, 0xc40444d6, 0x8906793b, 0xc2e32970, 0x44f40000, 0x2e100000, 0xf4df0000, 0x9e5d0420, 0x43cf6709, 0x13fb95c4, 0x19b62a95, 0x18c8c541}, + {0xa7f20000, 0x93d10000, 0x73cc0000, 0x21af0440, 0x6d756d13, 0x9e4ea295, 0x6a738193, 0x431ed078, 0xa2dc0000, 0x625b0000, 0x5c8a0000, 0x4d8d06c0, 0x9bae57b1, 0x8b5c251e, 0x31232c21, 0xcf928dd6}, + {0x41da0000, 0xdf9a0000, 0xdb990000, 0xf27f06a0, 0xb5145dab, 0x06e9124f, 0x42e68727, 0x944498ef, 0x52190000, 0x3b780000, 0x19080000, 0xac000600, 0xa0c35180, 0x49b17387, 0xfac3d23d, 0x99353c49}, + {0x02f20000, 0xa2810000, 0x873f0000, 0xe36c7800, 0x1e1d74ef, 0x073d2bd6, 0xc4c23237, 0x7f32259e, 0xbadd0000, 0x13ad0000, 0xb7e70000, 0xf7282800, 0xdf45144d, 0x361ac33a, 0xea5a8d14, 0x2a2c18f0}, + {0xe4da0000, 0xeeca0000, 0x2f6a0000, 0x30bc7ae0, 0xc67c4457, 0x9f9a9b0c, 0xec573483, 0xa8686d09, 0x4a180000, 0x4a8e0000, 0xf2650000, 0x16a528c0, 0xe428127c, 0xf4f795a3, 0x21ba7308, 0x7c8ba96f}, + {0xf2370000, 0xfba20000, 0xc2bd0000, 0x02e178c0, 0x257072de, 0xc5d07d4f, 0x0f22cc2b, 0x29959401, 0xac300000, 0x06c50000, 0x5a300000, 0xc5752a20, 0x3c4922c4, 0x6c502579, 0x092f75bc, 0xabd1e1f8}, + {0x141f0000, 0xb7e90000, 0x6ae80000, 0xd1317a20, 0xfd114266, 0x5d77cd95, 0x27b7ca9f, 0xfecfdc96, 0x5cf50000, 0x5fe60000, 0x1fb20000, 0x24f82ae0, 0x072424f5, 0xaebd73e0, 0xc2cf8ba0, 0xfd765067}, + {0xb6c30000, 0xd5b20000, 0x36620000, 0x9cbc7ce0, 0x66bf15d7, 0xd62be88b, 0x1694e6be, 0x315d5140, 0x59db0000, 0xae6c0000, 0x30f40000, 0x48da2860, 0xf1ff1e57, 0xbbaff46b, 0x999f2612, 0x71fa0dc9}, + {0x50eb0000, 0x99f90000, 0x9e370000, 0x4f6c7e00, 0xbede256f, 0x4e8c5851, 0x3e01e00a, 0xe60719d7, 0xa91e0000, 0xf74f0000, 0x75760000, 0xa95728a0, 0xca921866, 0x7942a2f2, 0x527fd80e, 0x275dbc56}, + {0x46060000, 0x8c910000, 0x73e00000, 0x7d317c20, 0x5dd213e6, 0x14c6be12, 0xdd7418a2, 0x67fae0df, 0x4f360000, 0xbb040000, 0xdd230000, 0x7a872a40, 0x12f328de, 0xe1e51228, 0x7aeadeba, 0xf007f4c1}, + {0xa02e0000, 0xc0da0000, 0xdbb50000, 0xaee17ec0, 0x85b3235e, 0x8c610ec8, 0xf5e11e16, 0xb0a0a848, 0xbff30000, 0xe2270000, 0x98a10000, 0x9b0a2a80, 0x299e2eef, 0x230844b1, 0xb10a20a6, 0xa6a0455e}, + {0xe1f40000, 0x1f400000, 0x002c0000, 0x5c9e7860, 0x30a77ef5, 0x8a881c87, 0xb7079931, 0x24e430a7, 0xedea0000, 0xd95f0000, 0x81a90000, 0x370a2c80, 0x895d7f6f, 0x6ab93736, 0x4bc9f29b, 0x3f957917}, + {0x07dc0000, 0x530b0000, 0xa8790000, 0x8f4e7a80, 0xe8c64e4d, 0x122fac5d, 0x9f929f85, 0xf3be7830, 0x1d2f0000, 0x807c0000, 0xc42b0000, 0xd6872c40, 0xb230795e, 0xa85461af, 0x80290c87, 0x6932c888}, + {0x11310000, 0x46630000, 0x45ae0000, 0xbd1378a0, 0x0bca78c4, 0x48654a1e, 0x7ce7672d, 0x72438138, 0xfb070000, 0xcc370000, 0x6c7e0000, 0x05572ea0, 0x6a5149e6, 0x30f3d175, 0xa8bc0a33, 0xbe68801f}, + {0xf7190000, 0x0a280000, 0xedfb0000, 0x6ec37a40, 0xd3ab487c, 0xd0c2fac4, 0x54726199, 0xa519c9af, 0x0bc20000, 0x95140000, 0x29fc0000, 0xe4da2e60, 0x513c4fd7, 0xf21e87ec, 0x635cf42f, 0xe8cf3180}, + {0x55c50000, 0x68730000, 0xb1710000, 0x234e7c80, 0x48051fcd, 0x5b9edfda, 0x65514db8, 0x6a8b4479, 0x0eec0000, 0x649e0000, 0x06ba0000, 0x88f82ce0, 0xa7e77575, 0xe70c0067, 0x380c599d, 0x64436c2e}, + {0xb3ed0000, 0x24380000, 0x19240000, 0xf09e7e60, 0x90642f75, 0xc3396f00, 0x4dc44b0c, 0xbdd10cee, 0xfe290000, 0x3dbd0000, 0x43380000, 0x69752c20, 0x9c8a7344, 0x25e156fe, 0xf3eca781, 0x32e4ddb1}, + {0xa5000000, 0x31500000, 0xf4f30000, 0xc2c37c40, 0x736819fc, 0x99738943, 0xaeb1b3a4, 0x3c2cf5e6, 0x18010000, 0x71f60000, 0xeb6d0000, 0xbaa52ec0, 0x44eb43fc, 0xbd46e624, 0xdb79a135, 0xe5be9526}, + {0x43280000, 0x7d1b0000, 0x5ca60000, 0x11137ea0, 0xab092944, 0x01d43999, 0x8624b510, 0xeb76bd71, 0xe8c40000, 0x28d50000, 0xaeef0000, 0x5b282e00, 0x7f8645cd, 0x7fabb0bd, 0x10995f29, 0xb31924b9}, + {0xbadd0000, 0x13ad0000, 0xb7e70000, 0xf7282800, 0xdf45144d, 0x361ac33a, 0xea5a8d14, 0x2a2c18f0, 0xb82f0000, 0xb12c0000, 0x30d80000, 0x14445000, 0xc15860a2, 0x3127e8ec, 0x2e98bf23, 0x551e3d6e}, + {0x5cf50000, 0x5fe60000, 0x1fb20000, 0x24f82ae0, 0x072424f5, 0xaebd73e0, 0xc2cf8ba0, 0xfd765067, 0x48ea0000, 0xe80f0000, 0x755a0000, 0xf5c950c0, 0xfa356693, 0xf3cabe75, 0xe578413f, 0x03b98cf1}, + {0x4a180000, 0x4a8e0000, 0xf2650000, 0x16a528c0, 0xe428127c, 0xf4f795a3, 0x21ba7308, 0x7c8ba96f, 0xaec20000, 0xa4440000, 0xdd0f0000, 0x26195220, 0x2254562b, 0x6b6d0eaf, 0xcded478b, 0xd4e3c466}, + {0xac300000, 0x06c50000, 0x5a300000, 0xc5752a20, 0x3c4922c4, 0x6c502579, 0x092f75bc, 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0x5fb60000, 0x1bd80000, 0x51b70000, 0x4ec9bea0, 0x99504e1d, 0x8d14c195, 0x28ea9cef, 0x2dd95a04}, + {0x79d10000, 0x72310000, 0x0abb0000, 0xd9a88a40, 0x48c77980, 0xb7f96351, 0x4be06a32, 0x50730a95, 0xaf730000, 0x42fb0000, 0x14350000, 0xaf44be60, 0xa23d482c, 0x4ff9970c, 0xe30a62f3, 0x7b7eeb9b}, + {0xdb0d0000, 0x106a0000, 0x56310000, 0x94258c80, 0xd3692e31, 0x3ca5464f, 0x7ac34613, 0x9fe18743, 0xaa5d0000, 0xb3710000, 0x3b730000, 0xc366bce0, 0x54e6728e, 0x5aeb1087, 0xb85acf41, 0xf7f2b635}, + {0x3d250000, 0x5c210000, 0xfe640000, 0x47f58e60, 0x0b081e89, 0xa402f695, 0x525640a7, 0x48bbcfd4, 0x5a980000, 0xea520000, 0x7ef10000, 0x22ebbc20, 0x6f8b74bf, 0x9806461e, 0x73ba315d, 0xa15507aa}, + {0x2bc80000, 0x49490000, 0x13b30000, 0x75a88c40, 0xe8042800, 0xfe4810d6, 0xb123b80f, 0xc94636dc, 0xbcb00000, 0xa6190000, 0xd6a40000, 0xf13bbec0, 0xb7ea4407, 0x00a1f6c4, 0x5b2f37e9, 0x760f4f3d}, + {0xcde00000, 0x05020000, 0xbbe60000, 0xa6788ea0, 0x306518b8, 0x66efa00c, 0x99b6bebb, 0x1e1c7e4b, 0x4c750000, 0xff3a0000, 0x93260000, 0x10b6be00, 0x8c874236, 0xc24ca05d, 0x90cfc9f5, 0x20a8fea2}, + {0x8ec80000, 0x78190000, 0xe7400000, 0xb76bf000, 0x9b6c31fc, 0x673b9995, 0x1f920bab, 0xf56ac33a, 0xa4b10000, 0xd7ef0000, 0x3dc90000, 0x4b9e9000, 0xf30107fb, 0xbde710e0, 0x805696dc, 0x93b1da1b}, + {0x68e00000, 0x34520000, 0x4f150000, 0x64bbf2e0, 0x430d0144, 0xff9c294f, 0x37070d1f, 0x22308bad, 0x54740000, 0x8ecc0000, 0x784b0000, 0xaa1390c0, 0xc86c01ca, 0x7f0a4679, 0x4bb668c0, 0xc5166b84}, + {0x7e0d0000, 0x213a0000, 0xa2c20000, 0x56e6f0c0, 0xa00137cd, 0xa5d6cf0c, 0xd472f5b7, 0xa3cd72a5, 0xb25c0000, 0xc2870000, 0xd01e0000, 0x79c39220, 0x100d3172, 0xe7adf6a3, 0x63236e74, 0x124c2313}, + {0x98250000, 0x6d710000, 0x0a970000, 0x8536f220, 0x78600775, 0x3d717fd6, 0xfce7f303, 0x74973a32, 0x42990000, 0x9ba40000, 0x959c0000, 0x984e92e0, 0x2b603743, 0x2540a03a, 0xa8c39068, 0x44eb928c}, + {0x3af90000, 0x0f2a0000, 0x561d0000, 0xc8bbf4e0, 0xe3ce50c4, 0xb62d5ac8, 0xcdc4df22, 0xbb05b7e4, 0x47b70000, 0x6a2e0000, 0xbada0000, 0xf46c9060, 0xddbb0de1, 0x305227b1, 0xf3933dda, 0xc867cf22}, + {0xdcd10000, 0x43610000, 0xfe480000, 0x1b6bf600, 0x3baf607c, 0x2e8aea12, 0xe551d996, 0x6c5fff73, 0xb7720000, 0x330d0000, 0xff580000, 0x15e190a0, 0xe6d60bd0, 0xf2bf7128, 0x3873c3c6, 0x9ec07ebd}, + {0xca3c0000, 0x56090000, 0x139f0000, 0x2936f420, 0xd8a356f5, 0x74c00c51, 0x0624213e, 0xeda2067b, 0x515a0000, 0x7f460000, 0x570d0000, 0xc6319240, 0x3eb73b68, 0x6a18c1f2, 0x10e6c572, 0x499a362a}, + {0x2c140000, 0x1a420000, 0xbbca0000, 0xfae6f6c0, 0x00c2664d, 0xec67bc8b, 0x2eb1278a, 0x3af84eec, 0xa19f0000, 0x26650000, 0x128f0000, 0x27bc9280, 0x05da3d59, 0xa8f5976b, 0xdb063b6e, 0x1f3d87b5}, + {0x6dce0000, 0xc5d80000, 0x60530000, 0x0899f060, 0xb5d63be6, 0xea8eaec4, 0x6c57a0ad, 0xaebcd603, 0xf3860000, 0x1d1d0000, 0x0b870000, 0x8bbc9480, 0xa5196cd9, 0xe144e4ec, 0x21c5e953, 0x8608bbfc}, + {0x8be60000, 0x89930000, 0xc8060000, 0xdb49f280, 0x6db70b5e, 0x72291e1e, 0x44c2a619, 0x79e69e94, 0x03430000, 0x443e0000, 0x4e050000, 0x6a319440, 0x9e746ae8, 0x23a9b275, 0xea25174f, 0xd0af0a63}, + {0x9d0b0000, 0x9cfb0000, 0x25d10000, 0xe914f0a0, 0x8ebb3dd7, 0x2863f85d, 0xa7b75eb1, 0xf81b679c, 0xe56b0000, 0x08750000, 0xe6500000, 0xb9e196a0, 0x46155a50, 0xbb0e02af, 0xc2b011fb, 0x07f542f4}, + {0x7b230000, 0xd0b00000, 0x8d840000, 0x3ac4f240, 0x56da0d6f, 0xb0c44887, 0x8f225805, 0x2f412f0b, 0x15ae0000, 0x51560000, 0xa3d20000, 0x586c9660, 0x7d785c61, 0x79e35436, 0x0950efe7, 0x5152f36b}, + {0xd9ff0000, 0xb2eb0000, 0xd10e0000, 0x7749f480, 0xcd745ade, 0x3b986d99, 0xbe017424, 0xe0d3a2dd, 0x10800000, 0xa0dc0000, 0x8c940000, 0x344e94e0, 0x8ba366c3, 0x6cf1d3bd, 0x52004255, 0xdddeaec5}, + {0x3fd70000, 0xfea00000, 0x795b0000, 0xa499f660, 0x15156a66, 0xa33fdd43, 0x96947290, 0x3789ea4a, 0xe0450000, 0xf9ff0000, 0xc9160000, 0xd5c39420, 0xb0ce60f2, 0xae1c8524, 0x99e0bc49, 0x8b791f5a}, + {0x293a0000, 0xebc80000, 0x948c0000, 0x96c4f440, 0xf6195cef, 0xf9753b00, 0x75e18a38, 0xb6741342, 0x066d0000, 0xb5b40000, 0x61430000, 0x061396c0, 0x68af504a, 0x36bb35fe, 0xb175bafd, 0x5c2357cd}, + {0xcf120000, 0xa7830000, 0x3cd90000, 0x4514f6a0, 0x2e786c57, 0x61d28bda, 0x5d748c8c, 0x612e5bd5, 0xf6a80000, 0xec970000, 0x24c10000, 0xe79e9600, 0x53c2567b, 0xf4566367, 0x7a9544e1, 0x0a84e652}, + {0x36e70000, 0xc9350000, 0xd7980000, 0xa32fa000, 0x5a34515e, 0x561c7179, 0x310ab488, 0xa074fe54, 0xa6430000, 0x756e0000, 0xbaf60000, 0xa8f2e800, 0xed1c7314, 0xbada3b36, 0x4494a4eb, 0xec83ff85}, + {0xd0cf0000, 0x857e0000, 0x7fcd0000, 0x70ffa2e0, 0x825561e6, 0xcebbc1a3, 0x199fb23c, 0x772eb6c3, 0x56860000, 0x2c4d0000, 0xff740000, 0x497fe8c0, 0xd6717525, 0x78376daf, 0x8f745af7, 0xba244e1a}, + {0xc6220000, 0x90160000, 0x921a0000, 0x42a2a0c0, 0x6159576f, 0x94f127e0, 0xfaea4a94, 0xf6d34fcb, 0xb0ae0000, 0x60060000, 0x57210000, 0x9aafea20, 0x0e10459d, 0xe090dd75, 0xa7e15c43, 0x6d7e068d}, + {0x200a0000, 0xdc5d0000, 0x3a4f0000, 0x9172a220, 0xb93867d7, 0x0c56973a, 0xd27f4c20, 0x2189075c, 0x406b0000, 0x39250000, 0x12a30000, 0x7b22eae0, 0x357d43ac, 0x227d8bec, 0x6c01a25f, 0x3bd9b712}, + {0x82d60000, 0xbe060000, 0x66c50000, 0xdcffa4e0, 0x22963066, 0x870ab224, 0xe35c6001, 0xee1b8a8a, 0x45450000, 0xc8af0000, 0x3de50000, 0x1700e860, 0xc3a6790e, 0x376f0c67, 0x37510fed, 0xb755eabc}, + {0x64fe0000, 0xf24d0000, 0xce900000, 0x0f2fa600, 0xfaf700de, 0x1fad02fe, 0xcbc966b5, 0x3941c21d, 0xb5800000, 0x918c0000, 0x78670000, 0xf68de8a0, 0xf8cb7f3f, 0xf5825afe, 0xfcb1f1f1, 0xe1f25b23}, + {0x72130000, 0xe7250000, 0x23470000, 0x3d72a420, 0x19fb3657, 0x45e7e4bd, 0x28bc9e1d, 0xb8bc3b15, 0x53a80000, 0xddc70000, 0xd0320000, 0x255dea40, 0x20aa4f87, 0x6d25ea24, 0xd424f745, 0x36a813b4}, + {0x943b0000, 0xab6e0000, 0x8b120000, 0xeea2a6c0, 0xc19a06ef, 0xdd405467, 0x002998a9, 0x6fe67382, 0xa36d0000, 0x84e40000, 0x95b00000, 0xc4d0ea80, 0x1bc749b6, 0xafc8bcbd, 0x1fc40959, 0x600fa22b}, + {0xd5e10000, 0x74f40000, 0x508b0000, 0x1cdda060, 0x748e5b44, 0xdba94628, 0x42cf1f8e, 0xfba2eb6d, 0xf1740000, 0xbf9c0000, 0x8cb80000, 0x68d0ec80, 0xbb041836, 0xe679cf3a, 0xe507db64, 0xf93a9e62}, + {0x33c90000, 0x38bf0000, 0xf8de0000, 0xcf0da280, 0xacef6bfc, 0x430ef6f2, 0x6a5a193a, 0x2cf8a3fa, 0x01b10000, 0xe6bf0000, 0xc93a0000, 0x895dec40, 0x80691e07, 0x249499a3, 0x2ee72578, 0xaf9d2ffd}, + {0x25240000, 0x2dd70000, 0x15090000, 0xfd50a0a0, 0x4fe35d75, 0x194410b1, 0x892fe192, 0xad055af2, 0xe7990000, 0xaaf40000, 0x616f0000, 0x5a8deea0, 0x58082ebf, 0xbc332979, 0x067223cc, 0x78c7676a}, + {0xc30c0000, 0x619c0000, 0xbd5c0000, 0x2e80a240, 0x97826dcd, 0x81e3a06b, 0xa1bae726, 0x7a5f1265, 0x175c0000, 0xf3d70000, 0x24ed0000, 0xbb00ee60, 0x6365288e, 0x7ede7fe0, 0xcd92ddd0, 0x2e60d6f5}, + {0x61d00000, 0x03c70000, 0xe1d60000, 0x630da480, 0x0c2c3a7c, 0x0abf8575, 0x9099cb07, 0xb5cd9fb3, 0x12720000, 0x025d0000, 0x0bab0000, 0xd722ece0, 0x95be122c, 0x6bccf86b, 0x96c27062, 0xa2ec8b5b}, + {0x87f80000, 0x4f8c0000, 0x49830000, 0xb0dda660, 0xd44d0ac4, 0x921835af, 0xb80ccdb3, 0x6297d724, 0xe2b70000, 0x5b7e0000, 0x4e290000, 0x36afec20, 0xaed3141d, 0xa921aef2, 0x5d228e7e, 0xf44b3ac4}, + {0x91150000, 0x5ae40000, 0xa4540000, 0x8280a440, 0x37413c4d, 0xc852d3ec, 0x5b79351b, 0xe36a2e2c, 0x049f0000, 0x17350000, 0xe67c0000, 0xe57feec0, 0x76b224a5, 0x31861e28, 0x75b788ca, 0x23117253}, + {0x773d0000, 0x16af0000, 0x0c010000, 0x5150a6a0, 0xef200cf5, 0x50f56336, 0x73ec33af, 0x343066bb, 0xf45a0000, 0x4e160000, 0xa3fe0000, 0x04f2ee00, 0x4ddf2294, 0xf36b48b1, 0xbe5776d6, 0x75b6c3cc}, + {0x34150000, 0x6bb40000, 0x50a70000, 0x4043d800, 0x442925b1, 0x51215aaf, 0xf5c886bf, 0xdf46dbca, 0x1c9e0000, 0x66c30000, 0x0d110000, 0x5fdac000, 0x32596759, 0x8cc0f80c, 0xaece29ff, 0xc6afe775}, + {0xd23d0000, 0x27ff0000, 0xf8f20000, 0x9393dae0, 0x9c481509, 0xc986ea75, 0xdd5d800b, 0x081c935d, 0xec5b0000, 0x3fe00000, 0x48930000, 0xbe57c0c0, 0x09346168, 0x4e2dae95, 0x652ed7e3, 0x900856ea}, + {0xc4d00000, 0x32970000, 0x15250000, 0xa1ced8c0, 0x7f442380, 0x93cc0c36, 0x3e2878a3, 0x89e16a55, 0x0a730000, 0x73ab0000, 0xe0c60000, 0x6d87c220, 0xd15551d0, 0xd68a1e4f, 0x4dbbd157, 0x47521e7d}, + {0x22f80000, 0x7edc0000, 0xbd700000, 0x721eda20, 0xa7251338, 0x0b6bbcec, 0x16bd7e17, 0x5ebb22c2, 0xfab60000, 0x2a880000, 0xa5440000, 0x8c0ac2e0, 0xea3857e1, 0x146748d6, 0x865b2f4b, 0x11f5afe2}, + {0x80240000, 0x1c870000, 0xe1fa0000, 0x3f93dce0, 0x3c8b4489, 0x803799f2, 0x279e5236, 0x9129af14, 0xff980000, 0xdb020000, 0x8a020000, 0xe028c060, 0x1ce36d43, 0x0175cf5d, 0xdd0b82f9, 0x9d79f24c}, + {0x660c0000, 0x50cc0000, 0x49af0000, 0xec43de00, 0xe4ea7431, 0x18902928, 0x0f0b5482, 0x4673e783, 0x0f5d0000, 0x82210000, 0xcf800000, 0x01a5c0a0, 0x278e6b72, 0xc39899c4, 0x16eb7ce5, 0xcbde43d3}, + {0x70e10000, 0x45a40000, 0xa4780000, 0xde1edc20, 0x07e642b8, 0x42dacf6b, 0xec7eac2a, 0xc78e1e8b, 0xe9750000, 0xce6a0000, 0x67d50000, 0xd275c240, 0xffef5bca, 0x5b3f291e, 0x3e7e7a51, 0x1c840b44}, + {0x96c90000, 0x09ef0000, 0x0c2d0000, 0x0dcedec0, 0xdf877200, 0xda7d7fb1, 0xc4ebaa9e, 0x10d4561c, 0x19b00000, 0x97490000, 0x22570000, 0x33f8c280, 0xc4825dfb, 0x99d27f87, 0xf59e844d, 0x4a23badb}, + {0xd7130000, 0xd6750000, 0xd7b40000, 0xffb1d860, 0x6a932fab, 0xdc946dfe, 0x860d2db9, 0x8490cef3, 0x4ba90000, 0xac310000, 0x3b5f0000, 0x9ff8c480, 0x64410c7b, 0xd0630c00, 0x0f5d5670, 0xd3168692}, + {0x313b0000, 0x9a3e0000, 0x7fe10000, 0x2c61da80, 0xb2f21f13, 0x4433dd24, 0xae982b0d, 0x53ca8664, 0xbb6c0000, 0xf5120000, 0x7edd0000, 0x7e75c440, 0x5f2c0a4a, 0x128e5a99, 0xc4bda86c, 0x85b1370d}, + {0x27d60000, 0x8f560000, 0x92360000, 0x1e3cd8a0, 0x51fe299a, 0x1e793b67, 0x4dedd3a5, 0xd2377f6c, 0x5d440000, 0xb9590000, 0xd6880000, 0xada5c6a0, 0x874d3af2, 0x8a29ea43, 0xec28aed8, 0x52eb7f9a}, + {0xc1fe0000, 0xc31d0000, 0x3a630000, 0xcdecda40, 0x899f1922, 0x86de8bbd, 0x6578d511, 0x056d37fb, 0xad810000, 0xe07a0000, 0x930a0000, 0x4c28c660, 0xbc203cc3, 0x48c4bcda, 0x27c850c4, 0x044cce05}, + {0x63220000, 0xa1460000, 0x66e90000, 0x8061dc80, 0x12314e93, 0x0d82aea3, 0x545bf930, 0xcaffba2d, 0xa8af0000, 0x11f00000, 0xbc4c0000, 0x200ac4e0, 0x4afb0661, 0x5dd63b51, 0x7c98fd76, 0x88c093ab}, + {0x850a0000, 0xed0d0000, 0xcebc0000, 0x53b1de60, 0xca507e2b, 0x95251e79, 0x7cceff84, 0x1da5f2ba, 0x586a0000, 0x48d30000, 0xf9ce0000, 0xc187c420, 0x71960050, 0x9f3b6dc8, 0xb778036a, 0xde672234}, + {0x93e70000, 0xf8650000, 0x236b0000, 0x61ecdc40, 0x295c48a2, 0xcf6ff83a, 0x9fbb072c, 0x9c580bb2, 0xbe420000, 0x04980000, 0x519b0000, 0x1257c6c0, 0xa9f730e8, 0x079cdd12, 0x9fed05de, 0x093d6aa3}, + {0x75cf0000, 0xb42e0000, 0x8b3e0000, 0xb23cdea0, 0xf13d781a, 0x57c848e0, 0xb72e0198, 0x4b024325, 0x4e870000, 0x5dbb0000, 0x14190000, 0xf3dac600, 0x929a36d9, 0xc5718b8b, 0x540dfbc2, 0x5f9adb3c}, +} +var T512_56 = [256][16]uint32{ + {0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000}, + {0x033d0000, 0x08b30000, 0xf33a0000, 0x3ac20007, 0x51298a50, 0x6b6e661f, 0x0ea5cfe3, 0xe6da7ffe, 0xa8da0000, 0x96be0000, 0x5c1d0000, 0x07da0002, 0x7d669583, 0x1f98708a, 0xbb668808, 0xda878000}, + {0xa8da0000, 0x96be0000, 0x5c1d0000, 0x07da0002, 0x7d669583, 0x1f98708a, 0xbb668808, 0xda878000, 0xabe70000, 0x9e0d0000, 0xaf270000, 0x3d180005, 0x2c4f1fd3, 0x74f61695, 0xb5c347eb, 0x3c5dfffe}, + {0xabe70000, 0x9e0d0000, 0xaf270000, 0x3d180005, 0x2c4f1fd3, 0x74f61695, 0xb5c347eb, 0x3c5dfffe, 0x033d0000, 0x08b30000, 0xf33a0000, 0x3ac20007, 0x51298a50, 0x6b6e661f, 0x0ea5cfe3, 0xe6da7ffe}, + {0x01930000, 0xe7820000, 0xedfb0000, 0xcf0c000b, 0x8dd08d58, 0xbca3b42e, 0x063661e1, 0x536f9e7b, 0x92280000, 0xdc850000, 0x57fa0000, 0x56dc0003, 0xbae92316, 0x5aefa30c, 0x90cef752, 0x7b1675d7}, + {0x02ae0000, 0xef310000, 0x1ec10000, 0xf5ce000c, 0xdcf90708, 0xd7cdd231, 0x0893ae02, 0xb5b5e185, 0x3af20000, 0x4a3b0000, 0x0be70000, 0x51060001, 0xc78fb695, 0x4577d386, 0x2ba87f5a, 0xa191f5d7}, + {0xa9490000, 0x713c0000, 0xb1e60000, 0xc8d60009, 0xf0b618db, 0xa33bc4a4, 0xbd50e9e9, 0x89e81e7b, 0x39cf0000, 0x42880000, 0xf8dd0000, 0x6bc40006, 0x96a63cc5, 0x2e19b599, 0x250db0b9, 0x474b8a29}, + {0xaa740000, 0x798f0000, 0x42dc0000, 0xf214000e, 0xa19f928b, 0xc855a2bb, 0xb3f5260a, 0x6f326185, 0x91150000, 0xd4360000, 0xa4c00000, 0x6c1e0004, 0xebc0a946, 0x3181c513, 0x9e6b38b1, 0x9dcc0a29}, + {0x92280000, 0xdc850000, 0x57fa0000, 0x56dc0003, 0xbae92316, 0x5aefa30c, 0x90cef752, 0x7b1675d7, 0x93bb0000, 0x3b070000, 0xba010000, 0x99d00008, 0x3739ae4e, 0xe64c1722, 0x96f896b3, 0x2879ebac}, + {0x91150000, 0xd4360000, 0xa4c00000, 0x6c1e0004, 0xebc0a946, 0x3181c513, 0x9e6b38b1, 0x9dcc0a29, 0x3b610000, 0xadb90000, 0xe61c0000, 0x9e0a000a, 0x4a5f3bcd, 0xf9d467a8, 0x2d9e1ebb, 0xf2fe6bac}, + {0x3af20000, 0x4a3b0000, 0x0be70000, 0x51060001, 0xc78fb695, 0x4577d386, 0x2ba87f5a, 0xa191f5d7, 0x385c0000, 0xa50a0000, 0x15260000, 0xa4c8000d, 0x1b76b19d, 0x92ba01b7, 0x233bd158, 0x14241452}, + {0x39cf0000, 0x42880000, 0xf8dd0000, 0x6bc40006, 0x96a63cc5, 0x2e19b599, 0x250db0b9, 0x474b8a29, 0x90860000, 0x33b40000, 0x493b0000, 0xa312000f, 0x6610241e, 0x8d22713d, 0x985d5950, 0xcea39452}, + {0x93bb0000, 0x3b070000, 0xba010000, 0x99d00008, 0x3739ae4e, 0xe64c1722, 0x96f896b3, 0x2879ebac, 0x01930000, 0xe7820000, 0xedfb0000, 0xcf0c000b, 0x8dd08d58, 0xbca3b42e, 0x063661e1, 0x536f9e7b}, + {0x90860000, 0x33b40000, 0x493b0000, 0xa312000f, 0x6610241e, 0x8d22713d, 0x985d5950, 0xcea39452, 0xa9490000, 0x713c0000, 0xb1e60000, 0xc8d60009, 0xf0b618db, 0xa33bc4a4, 0xbd50e9e9, 0x89e81e7b}, + {0x3b610000, 0xadb90000, 0xe61c0000, 0x9e0a000a, 0x4a5f3bcd, 0xf9d467a8, 0x2d9e1ebb, 0xf2fe6bac, 0xaa740000, 0x798f0000, 0x42dc0000, 0xf214000e, 0xa19f928b, 0xc855a2bb, 0xb3f5260a, 0x6f326185}, + {0x385c0000, 0xa50a0000, 0x15260000, 0xa4c8000d, 0x1b76b19d, 0x92ba01b7, 0x233bd158, 0x14241452, 0x02ae0000, 0xef310000, 0x1ec10000, 0xf5ce000c, 0xdcf90708, 0xd7cdd231, 0x0893ae02, 0xb5b5e185}, + {0x5fa80000, 0x56030000, 0x43ae0000, 0x64f30013, 0x257e86bf, 0x1311944e, 0x541e95bf, 0x8ea4db69, 0x00440000, 0x7f480000, 0xda7c0000, 0x2a230001, 0x3badc9cc, 0xa9b69c87, 0x030a9e60, 0xbe0a679e}, + {0x5c950000, 0x5eb00000, 0xb0940000, 0x5e310014, 0x74570cef, 0x787ff251, 0x5abb5a5c, 0x687ea497, 0xa89e0000, 0xe9f60000, 0x86610000, 0x2df90003, 0x46cb5c4f, 0xb62eec0d, 0xb86c1668, 0x648de79e}, + {0xf7720000, 0xc0bd0000, 0x1fb30000, 0x63290011, 0x5818133c, 0x0c89e4c4, 0xef781db7, 0x54235b69, 0xaba30000, 0xe1450000, 0x755b0000, 0x173b0004, 0x17e2d61f, 0xdd408a12, 0xb6c9d98b, 0x82579860}, + {0xf44f0000, 0xc80e0000, 0xec890000, 0x59eb0016, 0x0931996c, 0x67e782db, 0xe1ddd254, 0xb2f92497, 0x03790000, 0x77fb0000, 0x29460000, 0x10e10006, 0x6a84439c, 0xc2d8fa98, 0x0daf5183, 0x58d01860}, + {0x5e3b0000, 0xb1810000, 0xae550000, 0xabff0018, 0xa8ae0be7, 0xafb22060, 0x5228f45e, 0xddcb4512, 0x926c0000, 0xa3cd0000, 0x8d860000, 0x7cff0002, 0x8144eada, 0xf3593f8b, 0x93c46932, 0xc51c1249}, + {0x5d060000, 0xb9320000, 0x5d6f0000, 0x913d001f, 0xf98781b7, 0xc4dc467f, 0x5c8d3bbd, 0x3b113aec, 0x3ab60000, 0x35730000, 0xd19b0000, 0x7b250000, 0xfc227f59, 0xecc14f01, 0x28a2e13a, 0x1f9b9249}, + {0xf6e10000, 0x273f0000, 0xf2480000, 0xac25001a, 0xd5c89e64, 0xb02a50ea, 0xe94e7c56, 0x074cc512, 0x398b0000, 0x3dc00000, 0x22a10000, 0x41e70007, 0xad0bf509, 0x87af291e, 0x26072ed9, 0xf941edb7}, + {0xf5dc0000, 0x2f8c0000, 0x01720000, 0x96e7001d, 0x84e11434, 0xdb4436f5, 0xe7ebb3b5, 0xe196baec, 0x91510000, 0xab7e0000, 0x7ebc0000, 0x463d0005, 0xd06d608a, 0x98375994, 0x9d61a6d1, 0x23c66db7}, + {0xcd800000, 0x8a860000, 0x14540000, 0x322f0010, 0x9f97a5a9, 0x49fe3742, 0xc4d062ed, 0xf5b2aebe, 0x93ff0000, 0x444f0000, 0x607d0000, 0xb3f30009, 0x0c946782, 0x4ffa8ba5, 0x95f208d3, 0x96738c32}, + {0xcebd0000, 0x82350000, 0xe76e0000, 0x08ed0017, 0xcebe2ff9, 0x2290515d, 0xca75ad0e, 0x1368d140, 0x3b250000, 0xd2f10000, 0x3c600000, 0xb429000b, 0x71f2f201, 0x5062fb2f, 0x2e9480db, 0x4cf40c32}, + {0x655a0000, 0x1c380000, 0x48490000, 0x35f50012, 0xe2f1302a, 0x566647c8, 0x7fb6eae5, 0x2f352ebe, 0x38180000, 0xda420000, 0xcf5a0000, 0x8eeb000c, 0x20db7851, 0x3b0c9d30, 0x20314f38, 0xaa2e73cc}, + {0x66670000, 0x148b0000, 0xbb730000, 0x0f370015, 0xb3d8ba7a, 0x3d0821d7, 0x71132506, 0xc9ef5140, 0x90c20000, 0x4cfc0000, 0x93470000, 0x8931000e, 0x5dbdedd2, 0x2494edba, 0x9b57c730, 0x70a9f3cc}, + {0xcc130000, 0x6d040000, 0xf9af0000, 0xfd23001b, 0x124728f1, 0xf55d836c, 0xc2e6030c, 0xa6dd30c5, 0x01d70000, 0x98ca0000, 0x37870000, 0xe52f000a, 0xb67d4494, 0x151528a9, 0x053cff81, 0xed65f9e5}, + {0xcf2e0000, 0x65b70000, 0x0a950000, 0xc7e1001c, 0x436ea2a1, 0x9e33e573, 0xcc43ccef, 0x40074f3b, 0xa90d0000, 0x0e740000, 0x6b9a0000, 0xe2f50008, 0xcb1bd117, 0x0a8d5823, 0xbe5a7789, 0x37e279e5}, + {0x64c90000, 0xfbba0000, 0xa5b20000, 0xfaf90019, 0x6f21bd72, 0xeac5f3e6, 0x79808b04, 0x7c5ab0c5, 0xaa300000, 0x06c70000, 0x98a00000, 0xd837000f, 0x9a325b47, 0x61e33e3c, 0xb0ffb86a, 0xd138061b}, + {0x67f40000, 0xf3090000, 0x56880000, 0xc03b001e, 0x3e083722, 0x81ab95f9, 0x772544e7, 0x9a80cf3b, 0x02ea0000, 0x90790000, 0xc4bd0000, 0xdfed000d, 0xe754cec4, 0x7e7b4eb6, 0x0b993062, 0x0bbf861b}, + {0x00440000, 0x7f480000, 0xda7c0000, 0x2a230001, 0x3badc9cc, 0xa9b69c87, 0x030a9e60, 0xbe0a679e, 0x5fec0000, 0x294b0000, 0x99d20000, 0x4ed00012, 0x1ed34f73, 0xbaa708c9, 0x57140bdf, 0x30aebcf7}, + {0x03790000, 0x77fb0000, 0x29460000, 0x10e10006, 0x6a84439c, 0xc2d8fa98, 0x0daf5183, 0x58d01860, 0xf7360000, 0xbff50000, 0xc5cf0000, 0x490a0010, 0x63b5daf0, 0xa53f7843, 0xec7283d7, 0xea293cf7}, + {0xa89e0000, 0xe9f60000, 0x86610000, 0x2df90003, 0x46cb5c4f, 0xb62eec0d, 0xb86c1668, 0x648de79e, 0xf40b0000, 0xb7460000, 0x36f50000, 0x73c80017, 0x329c50a0, 0xce511e5c, 0xe2d74c34, 0x0cf34309}, + {0xaba30000, 0xe1450000, 0x755b0000, 0x173b0004, 0x17e2d61f, 0xdd408a12, 0xb6c9d98b, 0x82579860, 0x5cd10000, 0x21f80000, 0x6ae80000, 0x74120015, 0x4ffac523, 0xd1c96ed6, 0x59b1c43c, 0xd674c309}, + {0x01d70000, 0x98ca0000, 0x37870000, 0xe52f000a, 0xb67d4494, 0x151528a9, 0x053cff81, 0xed65f9e5, 0xcdc40000, 0xf5ce0000, 0xce280000, 0x180c0011, 0xa43a6c65, 0xe048abc5, 0xc7dafc8d, 0x4bb8c920}, + {0x02ea0000, 0x90790000, 0xc4bd0000, 0xdfed000d, 0xe754cec4, 0x7e7b4eb6, 0x0b993062, 0x0bbf861b, 0x651e0000, 0x63700000, 0x92350000, 0x1fd60013, 0xd95cf9e6, 0xffd0db4f, 0x7cbc7485, 0x913f4920}, + {0xa90d0000, 0x0e740000, 0x6b9a0000, 0xe2f50008, 0xcb1bd117, 0x0a8d5823, 0xbe5a7789, 0x37e279e5, 0x66230000, 0x6bc30000, 0x610f0000, 0x25140014, 0x887573b6, 0x94bebd50, 0x7219bb66, 0x77e536de}, + {0xaa300000, 0x06c70000, 0x98a00000, 0xd837000f, 0x9a325b47, 0x61e33e3c, 0xb0ffb86a, 0xd138061b, 0xcef90000, 0xfd7d0000, 0x3d120000, 0x22ce0016, 0xf513e635, 0x8b26cdda, 0xc97f336e, 0xad62b6de}, + {0x926c0000, 0xa3cd0000, 0x8d860000, 0x7cff0002, 0x8144eada, 0xf3593f8b, 0x93c46932, 0xc51c1249, 0xcc570000, 0x124c0000, 0x23d30000, 0xd700001a, 0x29eae13d, 0x5ceb1feb, 0xc1ec9d6c, 0x18d7575b}, + {0x91510000, 0xab7e0000, 0x7ebc0000, 0x463d0005, 0xd06d608a, 0x98375994, 0x9d61a6d1, 0x23c66db7, 0x648d0000, 0x84f20000, 0x7fce0000, 0xd0da0018, 0x548c74be, 0x43736f61, 0x7a8a1564, 0xc250d75b}, + {0x3ab60000, 0x35730000, 0xd19b0000, 0x7b250000, 0xfc227f59, 0xecc14f01, 0x28a2e13a, 0x1f9b9249, 0x67b00000, 0x8c410000, 0x8cf40000, 0xea18001f, 0x05a5feee, 0x281d097e, 0x742fda87, 0x248aa8a5}, + {0x398b0000, 0x3dc00000, 0x22a10000, 0x41e70007, 0xad0bf509, 0x87af291e, 0x26072ed9, 0xf941edb7, 0xcf6a0000, 0x1aff0000, 0xd0e90000, 0xedc2001d, 0x78c36b6d, 0x378579f4, 0xcf49528f, 0xfe0d28a5}, + {0x93ff0000, 0x444f0000, 0x607d0000, 0xb3f30009, 0x0c946782, 0x4ffa8ba5, 0x95f208d3, 0x96738c32, 0x5e7f0000, 0xcec90000, 0x74290000, 0x81dc0019, 0x9303c22b, 0x0604bce7, 0x51226a3e, 0x63c1228c}, + {0x90c20000, 0x4cfc0000, 0x93470000, 0x8931000e, 0x5dbdedd2, 0x2494edba, 0x9b57c730, 0x70a9f3cc, 0xf6a50000, 0x58770000, 0x28340000, 0x8606001b, 0xee6557a8, 0x199ccc6d, 0xea44e236, 0xb946a28c}, + {0x3b250000, 0xd2f10000, 0x3c600000, 0xb429000b, 0x71f2f201, 0x5062fb2f, 0x2e9480db, 0x4cf40c32, 0xf5980000, 0x50c40000, 0xdb0e0000, 0xbcc4001c, 0xbf4cddf8, 0x72f2aa72, 0xe4e12dd5, 0x5f9cdd72}, + {0x38180000, 0xda420000, 0xcf5a0000, 0x8eeb000c, 0x20db7851, 0x3b0c9d30, 0x20314f38, 0xaa2e73cc, 0x5d420000, 0xc67a0000, 0x87130000, 0xbb1e001e, 0xc22a487b, 0x6d6adaf8, 0x5f87a5dd, 0x851b5d72}, + {0x5fec0000, 0x294b0000, 0x99d20000, 0x4ed00012, 0x1ed34f73, 0xbaa708c9, 0x57140bdf, 0x30aebcf7, 0x5fa80000, 0x56030000, 0x43ae0000, 0x64f30013, 0x257e86bf, 0x1311944e, 0x541e95bf, 0x8ea4db69}, + {0x5cd10000, 0x21f80000, 0x6ae80000, 0x74120015, 0x4ffac523, 0xd1c96ed6, 0x59b1c43c, 0xd674c309, 0xf7720000, 0xc0bd0000, 0x1fb30000, 0x63290011, 0x5818133c, 0x0c89e4c4, 0xef781db7, 0x54235b69}, + {0xf7360000, 0xbff50000, 0xc5cf0000, 0x490a0010, 0x63b5daf0, 0xa53f7843, 0xec7283d7, 0xea293cf7, 0xf44f0000, 0xc80e0000, 0xec890000, 0x59eb0016, 0x0931996c, 0x67e782db, 0xe1ddd254, 0xb2f92497}, + {0xf40b0000, 0xb7460000, 0x36f50000, 0x73c80017, 0x329c50a0, 0xce511e5c, 0xe2d74c34, 0x0cf34309, 0x5c950000, 0x5eb00000, 0xb0940000, 0x5e310014, 0x74570cef, 0x787ff251, 0x5abb5a5c, 0x687ea497}, + {0x5e7f0000, 0xcec90000, 0x74290000, 0x81dc0019, 0x9303c22b, 0x0604bce7, 0x51226a3e, 0x63c1228c, 0xcd800000, 0x8a860000, 0x14540000, 0x322f0010, 0x9f97a5a9, 0x49fe3742, 0xc4d062ed, 0xf5b2aebe}, + {0x5d420000, 0xc67a0000, 0x87130000, 0xbb1e001e, 0xc22a487b, 0x6d6adaf8, 0x5f87a5dd, 0x851b5d72, 0x655a0000, 0x1c380000, 0x48490000, 0x35f50012, 0xe2f1302a, 0x566647c8, 0x7fb6eae5, 0x2f352ebe}, + {0xf6a50000, 0x58770000, 0x28340000, 0x8606001b, 0xee6557a8, 0x199ccc6d, 0xea44e236, 0xb946a28c, 0x66670000, 0x148b0000, 0xbb730000, 0x0f370015, 0xb3d8ba7a, 0x3d0821d7, 0x71132506, 0xc9ef5140}, + {0xf5980000, 0x50c40000, 0xdb0e0000, 0xbcc4001c, 0xbf4cddf8, 0x72f2aa72, 0xe4e12dd5, 0x5f9cdd72, 0xcebd0000, 0x82350000, 0xe76e0000, 0x08ed0017, 0xcebe2ff9, 0x2290515d, 0xca75ad0e, 0x1368d140}, + {0xcdc40000, 0xf5ce0000, 0xce280000, 0x180c0011, 0xa43a6c65, 0xe048abc5, 0xc7dafc8d, 0x4bb8c920, 0xcc130000, 0x6d040000, 0xf9af0000, 0xfd23001b, 0x124728f1, 0xf55d836c, 0xc2e6030c, 0xa6dd30c5}, + {0xcef90000, 0xfd7d0000, 0x3d120000, 0x22ce0016, 0xf513e635, 0x8b26cdda, 0xc97f336e, 0xad62b6de, 0x64c90000, 0xfbba0000, 0xa5b20000, 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0xb0600000, 0x6a7f01e7, 0x395add75, 0xbcc3d249, 0x63360dad, 0xd95e87d3}, + {0x60670000, 0xaec90000, 0x3a560000, 0xde3c015d, 0x8e6b7867, 0x8db15819, 0x8522abc2, 0x0676b078, 0x7fc20000, 0x7d790000, 0xec7d0000, 0x6da501e5, 0x443c48f6, 0xa35ba2c3, 0xd85085a5, 0x03d907d3}, + {0x583b0000, 0x0bc30000, 0x2f700000, 0x7af40150, 0x951dc9fa, 0x1f0b59ae, 0xa6197a9a, 0x1252a42a, 0x7d6c0000, 0x92480000, 0xf2bc0000, 0x986b01e9, 0x98c54ffe, 0x749670f2, 0xd0c32ba7, 0xb66ce656}, + {0x5b060000, 0x03700000, 0xdc4a0000, 0x40360157, 0xc43443aa, 0x74653fb1, 0xa8bcb579, 0xf488dbd4, 0xd5b60000, 0x04f60000, 0xaea10000, 0x9fb101eb, 0xe5a3da7d, 0x6b0e0078, 0x6ba5a3af, 0x6ceb6656}, + {0xf0e10000, 0x9d7d0000, 0x736d0000, 0x7d2e0152, 0xe87b5c79, 0x00932924, 0x1d7ff292, 0xc8d5242a, 0xd68b0000, 0x0c450000, 0x5d9b0000, 0xa57301ec, 0xb48a502d, 0x00606667, 0x65006c4c, 0x8a3119a8}, + {0xf3dc0000, 0x95ce0000, 0x80570000, 0x47ec0155, 0xb952d629, 0x6bfd4f3b, 0x13da3d71, 0x2e0f5bd4, 0x7e510000, 0x9afb0000, 0x01860000, 0xa2a901ee, 0xc9ecc5ae, 0x1ff816ed, 0xde66e444, 0x50b699a8}, + {0x59a80000, 0xec410000, 0xc28b0000, 0xb5f8015b, 0x18cd44a2, 0xa3a8ed80, 0xa02f1b7b, 0x413d3a51, 0xef440000, 0x4ecd0000, 0xa5460000, 0xceb701ea, 0x222c6ce8, 0x2e79d3fe, 0x400ddcf5, 0xcd7a9381}, + {0x5a950000, 0xe4f20000, 0x31b10000, 0x8f3a015c, 0x49e4cef2, 0xc8c68b9f, 0xae8ad498, 0xa7e745af, 0x479e0000, 0xd8730000, 0xf95b0000, 0xc96d01e8, 0x5f4af96b, 0x31e1a374, 0xfb6b54fd, 0x17fd1381}, + {0xf1720000, 0x7aff0000, 0x9e960000, 0xb2220159, 0x65abd121, 0xbc309d0a, 0x1b499373, 0x9bbaba51, 0x44a30000, 0xd0c00000, 0x0a610000, 0xf3af01ef, 0x0e63733b, 0x5a8fc56b, 0xf5ce9b1e, 0xf1276c7f}, + {0xf24f0000, 0x724c0000, 0x6dac0000, 0x88e0015e, 0x34825b71, 0xd75efb15, 0x15ec5c90, 0x7d60c5af, 0xec790000, 0x467e0000, 0x567c0000, 0xf47501ed, 0x7305e6b8, 0x4517b5e1, 0x4ea81316, 0x2ba0ec7f}, + {0x95ff0000, 0xfe0d0000, 0xe1580000, 0x62f80141, 0x3127a59f, 0xff43f26b, 0x61c38617, 0x59ea6d0a, 0xb17f0000, 0xff4c0000, 0x0b130000, 0x654801f2, 0x8a82670f, 0x81cbf39e, 0x122528ab, 0x10b1d693}, + {0x96c20000, 0xf6be0000, 0x12620000, 0x583a0146, 0x600e2fcf, 0x942d9474, 0x6f6649f4, 0xbf3012f4, 0x19a50000, 0x69f20000, 0x570e0000, 0x629201f0, 0xf7e4f28c, 0x9e538314, 0xa943a0a3, 0xca365693}, + {0x3d250000, 0x68b30000, 0xbd450000, 0x65220143, 0x4c41301c, 0xe0db82e1, 0xdaa50e1f, 0x836ded0a, 0x1a980000, 0x61410000, 0xa4340000, 0x585001f7, 0xa6cd78dc, 0xf53de50b, 0xa7e66f40, 0x2cec296d}, + {0x3e180000, 0x60000000, 0x4e7f0000, 0x5fe00144, 0x1d68ba4c, 0x8bb5e4fe, 0xd400c1fc, 0x65b792f4, 0xb2420000, 0xf7ff0000, 0xf8290000, 0x5f8a01f5, 0xdbabed5f, 0xeaa59581, 0x1c80e748, 0xf66ba96d}, + {0x946c0000, 0x198f0000, 0x0ca30000, 0xadf4014a, 0xbcf728c7, 0x43e04645, 0x67f5e7f6, 0x0a85f371, 0x23570000, 0x23c90000, 0x5ce90000, 0x339401f1, 0x306b4419, 0xdb245092, 0x82ebdff9, 0x6ba7a344}, + {0x97510000, 0x113c0000, 0xff990000, 0x9736014d, 0xeddea297, 0x288e205a, 0x69502815, 0xec5f8c8f, 0x8b8d0000, 0xb5770000, 0x00f40000, 0x344e01f3, 0x4d0dd19a, 0xc4bc2018, 0x398d57f1, 0xb1202344}, + {0x3cb60000, 0x8f310000, 0x50be0000, 0xaa2e0148, 0xc191bd44, 0x5c7836cf, 0xdc936ffe, 0xd0027371, 0x88b00000, 0xbdc40000, 0xf3ce0000, 0x0e8c01f4, 0x1c245bca, 0xafd24607, 0x37289812, 0x57fa5cba}, + {0x3f8b0000, 0x87820000, 0xa3840000, 0x90ec014f, 0x90b83714, 0x371650d0, 0xd236a01d, 0x36d80c8f, 0x206a0000, 0x2b7a0000, 0xafd30000, 0x095601f6, 0x6142ce49, 0xb04a368d, 0x8c4e101a, 0x8d7ddcba}, + {0x07d70000, 0x22880000, 0xb6a20000, 0x34240142, 0x8bce8689, 0xa5ac5167, 0xf10d7145, 0x22fc18dd, 0x22c40000, 0xc44b0000, 0xb1120000, 0xfc9801fa, 0xbdbbc941, 0x6787e4bc, 0x84ddbe18, 0x38c83d3f}, + {0x04ea0000, 0x2a3b0000, 0x45980000, 0x0ee60145, 0xdae70cd9, 0xcec23778, 0xffa8bea6, 0xc4266723, 0x8a1e0000, 0x52f50000, 0xed0f0000, 0xfb4201f8, 0xc0dd5cc2, 0x781f9436, 0x3fbb3610, 0xe24fbd3f}, + {0xaf0d0000, 0xb4360000, 0xeabf0000, 0x33fe0140, 0xf6a8130a, 0xba3421ed, 0x4a6bf94d, 0xf87b98dd, 0x89230000, 0x5a460000, 0x1e350000, 0xc18001ff, 0x91f4d692, 0x1371f229, 0x311ef9f3, 0x0495c2c1}, + {0xac300000, 0xbc850000, 0x19850000, 0x093c0147, 0xa781995a, 0xd15a47f2, 0x44ce36ae, 0x1ea1e723, 0x21f90000, 0xccf80000, 0x42280000, 0xc65a01fd, 0xec924311, 0x0ce982a3, 0x8a7871fb, 0xde1242c1}, + {0x06440000, 0xc50a0000, 0x5b590000, 0xfb280149, 0x061e0bd1, 0x190fe549, 0xf73b10a4, 0x719386a6, 0xb0ec0000, 0x18ce0000, 0xe6e80000, 0xaa4401f9, 0x0752ea57, 0x3d6847b0, 0x1413494a, 0x43de48e8}, + {0x05790000, 0xcdb90000, 0xa8630000, 0xc1ea014e, 0x57378181, 0x72618356, 0xf99edf47, 0x9749f958, 0x18360000, 0x8e700000, 0xbaf50000, 0xad9e01fb, 0x7a347fd4, 0x22f0373a, 0xaf75c142, 0x9959c8e8}, + {0xae9e0000, 0x53b40000, 0x07440000, 0xfcf2014b, 0x7b789e52, 0x069795c3, 0x4c5d98ac, 0xab1406a6, 0x1b0b0000, 0x86c30000, 0x49cf0000, 0x975c01fc, 0x2b1df584, 0x499e5125, 0xa1d00ea1, 0x7f83b716}, + {0xada30000, 0x5b070000, 0xf47e0000, 0xc630014c, 0x2a511402, 0x6df9f3dc, 0x42f8574f, 0x4dce7958, 0xb3d10000, 0x107d0000, 0x15d20000, 0x908601fe, 0x567b6007, 0x560621af, 0x1ab686a9, 0xa5043716}, + {0xca570000, 0xa80e0000, 0xa2f60000, 0x060b0152, 0x14592320, 0xec526625, 0x35dd13a8, 0xd74eb663, 0xb13b0000, 0x80040000, 0xd16f0000, 0x4f6b01f3, 0xb12faec3, 0x287d6f19, 0x112fb6cb, 0xaebbb10d}, + {0xc96a0000, 0xa0bd0000, 0x51cc0000, 0x3cc90155, 0x4570a970, 0x873c003a, 0x3b78dc4b, 0x3194c99d, 0x19e10000, 0x16ba0000, 0x8d720000, 0x48b101f1, 0xcc493b40, 0x37e51f93, 0xaa493ec3, 0x743c310d}, + {0x628d0000, 0x3eb00000, 0xfeeb0000, 0x01d10150, 0x693fb6a3, 0xf3ca16af, 0x8ebb9ba0, 0x0dc93663, 0x1adc0000, 0x1e090000, 0x7e480000, 0x727301f6, 0x9d60b110, 0x5c8b798c, 0xa4ecf120, 0x92e64ef3}, + {0x61b00000, 0x36030000, 0x0dd10000, 0x3b130157, 0x38163cf3, 0x98a470b0, 0x801e5443, 0xeb13499d, 0xb2060000, 0x88b70000, 0x22550000, 0x75a901f4, 0xe0062493, 0x43130906, 0x1f8a7928, 0x4861cef3}, + {0xcbc40000, 0x4f8c0000, 0x4f0d0000, 0xc9070159, 0x9989ae78, 0x50f1d20b, 0x33eb7249, 0x84212818, 0x23130000, 0x5c810000, 0x86950000, 0x19b701f0, 0x0bc68dd5, 0x7292cc15, 0x81e14199, 0xd5adc4da}, + {0xc8f90000, 0x473f0000, 0xbc370000, 0xf3c5015e, 0xc8a02428, 0x3b9fb414, 0x3d4ebdaa, 0x62fb57e6, 0x8bc90000, 0xca3f0000, 0xda880000, 0x1e6d01f2, 0x76a01856, 0x6d0abc9f, 0x3a87c991, 0x0f2a44da}, + {0x631e0000, 0xd9320000, 0x13100000, 0xcedd015b, 0xe4ef3bfb, 0x4f69a281, 0x888dfa41, 0x5ea6a818, 0x88f40000, 0xc28c0000, 0x29b20000, 0x24af01f5, 0x27899206, 0x0664da80, 0x34220672, 0xe9f03b24}, + {0x60230000, 0xd1810000, 0xe02a0000, 0xf41f015c, 0xb5c6b1ab, 0x2407c49e, 0x862835a2, 0xb87cd7e6, 0x202e0000, 0x54320000, 0x75af0000, 0x237501f7, 0x5aef0785, 0x19fcaa0a, 0x8f448e7a, 0x3377bb24}, + {0x587f0000, 0x748b0000, 0xf50c0000, 0x50d70151, 0xaeb00036, 0xb6bdc529, 0xa513e4fa, 0xac58c3b4, 0x22800000, 0xbb030000, 0x6b6e0000, 0xd6bb01fb, 0x8616008d, 0xce31783b, 0x87d72078, 0x86c25aa1}, + {0x5b420000, 0x7c380000, 0x06360000, 0x6a150156, 0xff998a66, 0xddd3a336, 0xabb62b19, 0x4a82bc4a, 0x8a5a0000, 0x2dbd0000, 0x37730000, 0xd16101f9, 0xfb70950e, 0xd1a908b1, 0x3cb1a870, 0x5c45daa1}, + {0xf0a50000, 0xe2350000, 0xa9110000, 0x570d0153, 0xd3d695b5, 0xa925b5a3, 0x1e756cf2, 0x76df43b4, 0x89670000, 0x250e0000, 0xc4490000, 0xeba301fe, 0xaa591f5e, 0xbac76eae, 0x32146793, 0xba9fa55f}, + {0xf3980000, 0xea860000, 0x5a2b0000, 0x6dcf0154, 0x82ff1fe5, 0xc24bd3bc, 0x10d0a311, 0x90053c4a, 0x21bd0000, 0xb3b00000, 0x98540000, 0xec7901fc, 0xd73f8add, 0xa55f1e24, 0x8972ef9b, 0x6018255f}, + {0x59ec0000, 0x93090000, 0x18f70000, 0x9fdb015a, 0x23608d6e, 0x0a1e7107, 0xa325851b, 0xff375dcf, 0xb0a80000, 0x67860000, 0x3c940000, 0x806701f8, 0x3cff239b, 0x94dedb37, 0x1719d72a, 0xfdd42f76}, + {0x5ad10000, 0x9bba0000, 0xebcd0000, 0xa519015d, 0x7249073e, 0x61701718, 0xad804af8, 0x19ed2231, 0x18720000, 0xf1380000, 0x60890000, 0x87bd01fa, 0x4199b618, 0x8b46abbd, 0xac7f5f22, 0x2753af76}, + {0xf1360000, 0x05b70000, 0x44ea0000, 0x98010158, 0x5e0618ed, 0x1586018d, 0x18430d13, 0x25b0ddcf, 0x1b4f0000, 0xf98b0000, 0x93b30000, 0xbd7f01fd, 0x10b03c48, 0xe028cda2, 0xa2da90c1, 0xc189d088}, + {0xf20b0000, 0x0d040000, 0xb7d00000, 0xa2c3015f, 0x0f2f92bd, 0x7ee86792, 0x16e6c2f0, 0xc36aa231, 0xb3950000, 0x6f350000, 0xcfae0000, 0xbaa501ff, 0x6dd6a9cb, 0xffb0bd28, 0x19bc18c9, 0x1b0e5088}, +} + +var IV512 = [...]uint32{ + (0x73746565), (0x6c706172), (0x6b204172), + (0x656e6265), (0x72672031), (0x302c2062), + (0x75732032), (0x3434362c), (0x20422d33), + (0x30303120), (0x4c657576), (0x656e2d48), + (0x65766572), (0x6c65652c), (0x2042656c), + (0x6769756d)} + +var alpha_n = [...]uint32{ + (0xff00f0f0), (0xccccaaaa), (0xf0f0cccc), + (0xff00aaaa), (0xccccaaaa), (0xf0f0ff00), + (0xaaaacccc), (0xf0f0ff00), (0xf0f0cccc), + (0xaaaaff00), (0xccccff00), (0xaaaaf0f0), + (0xaaaaf0f0), (0xff00cccc), (0xccccf0f0), + (0xff00aaaa), (0xccccaaaa), (0xff00f0f0), + (0xff00aaaa), (0xf0f0cccc), (0xf0f0ff00), + (0xccccaaaa), (0xf0f0ff00), (0xaaaacccc), + (0xaaaaff00), (0xf0f0cccc), (0xaaaaf0f0), + (0xccccff00), (0xff00cccc), (0xaaaaf0f0), + (0xff00aaaa), (0xccccf0f0)} + +var alpha_f = [...]uint32{ + (0xcaf9639c), (0x0ff0f9c0), (0x639c0ff0), + (0xcaf9f9c0), (0x0ff0f9c0), (0x639ccaf9), + (0xf9c00ff0), (0x639ccaf9), (0x639c0ff0), + (0xf9c0caf9), (0x0ff0caf9), (0xf9c0639c), + (0xf9c0639c), (0xcaf90ff0), (0x0ff0639c), + (0xcaf9f9c0), (0x0ff0f9c0), (0xcaf9639c), + (0xcaf9f9c0), (0x639c0ff0), (0x639ccaf9), + (0x0ff0f9c0), (0x639ccaf9), (0xf9c00ff0), + (0xf9c0caf9), (0x639c0ff0), (0xf9c0639c), + (0x0ff0caf9), (0xcaf90ff0), (0xf9c0639c), + (0xcaf9f9c0), (0x0ff0639c)} + +func SBOX(a, b, c, d *uint32) { + var t = (*a) + (*a) &= (*c) + (*a) ^= (*d) + (*c) ^= (*b) + (*c) ^= (*a) + (*d) |= t + (*d) ^= (*b) + t ^= (*c) + (*b) = (*d) + (*d) |= t + (*d) ^= (*a) + (*a) &= (*b) + t ^= (*a) + (*b) ^= (*d) + (*b) ^= t + (*a) = (*c) + (*c) = (*b) + (*b) = (*d) + (*d) = (^t) +} + +func L(a, b, c, d *uint32) { + (*a) = (((*a) << (13)) | ((*a) >> (32 - (13)))) + (*c) = (((*c) << (3)) | ((*c) >> (32 - (3)))) + (*b) ^= (*a) ^ (*c) + (*d) ^= (*c) ^ ((*a) << 3) + (*b) = (((*b) << (1)) | ((*b) >> (32 - (1)))) + (*d) = (((*d) << (7)) | ((*d) >> (32 - (7)))) + (*a) ^= (*b) ^ (*d) + (*c) ^= (*d) ^ ((*b) << 7) + (*a) = (((*a) << (5)) | ((*a) >> (32 - (5)))) + (*c) = (((*c) << (22)) | ((*c) >> (32 - (22)))) +} + +var partial []uint8 +var partial_len uint +var h []uint32 +var count uint64 + +func hamsi_big_c_code(buf []uint8, num uint) { + var c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, cA, cB, cC, cD, cE, cF uint32 + + count += uint64(num) << 6 + c0 = h[0x0] + c1 = h[0x1] + c2 = h[0x2] + c3 = h[0x3] + c4 = h[0x4] + c5 = h[0x5] + c6 = h[0x6] + c7 = h[0x7] + c8 = h[0x8] + c9 = h[0x9] + cA = h[0xA] + cB = h[0xB] + cC = h[0xC] + cD = h[0xD] + cE = h[0xE] + cF = h[0xF] + + for i := 0; uint(i) < num; i++ { + var m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, mA, mB, mC, mD, mE, mF uint32 + + var acc = uint(buf[0]) + m0 = T512_0[acc][0] + m1 = T512_0[acc][1] + m2 = T512_0[acc][2] + m3 = T512_0[acc][3] + m4 = T512_0[acc][4] + m5 = T512_0[acc][5] + m6 = T512_0[acc][6] + m7 = T512_0[acc][7] + m8 = T512_0[acc][8] + m9 = T512_0[acc][9] + mA = T512_0[acc][10] + mB = T512_0[acc][11] + mC = T512_0[acc][12] + mD = T512_0[acc][13] + mE = T512_0[acc][14] + mF = T512_0[acc][15] + acc = uint(buf[1]) + m0 ^= T512_8[acc][0] + m1 ^= T512_8[acc][1] + m2 ^= T512_8[acc][2] + m3 ^= T512_8[acc][3] + m4 ^= T512_8[acc][4] + m5 ^= T512_8[acc][5] + m6 ^= T512_8[acc][6] + m7 ^= T512_8[acc][7] + m8 ^= T512_8[acc][8] + m9 ^= T512_8[acc][9] + mA ^= T512_8[acc][10] + mB ^= T512_8[acc][11] + mC ^= T512_8[acc][12] + mD ^= T512_8[acc][13] + mE ^= T512_8[acc][14] + mF ^= T512_8[acc][15] + acc = uint(buf[2]) + m0 ^= T512_16[acc][0] + m1 ^= T512_16[acc][1] + m2 ^= T512_16[acc][2] + m3 ^= T512_16[acc][3] + m4 ^= T512_16[acc][4] + m5 ^= T512_16[acc][5] + m6 ^= T512_16[acc][6] + m7 ^= T512_16[acc][7] + m8 ^= T512_16[acc][8] + m9 ^= T512_16[acc][9] + mA ^= T512_16[acc][10] + mB ^= T512_16[acc][11] + mC ^= T512_16[acc][12] + mD ^= T512_16[acc][13] + mE ^= T512_16[acc][14] + mF ^= T512_16[acc][15] + acc = uint(buf[3]) + m0 ^= T512_24[acc][0] + m1 ^= T512_24[acc][1] + m2 ^= T512_24[acc][2] + m3 ^= T512_24[acc][3] + m4 ^= T512_24[acc][4] + m5 ^= T512_24[acc][5] + m6 ^= T512_24[acc][6] + m7 ^= T512_24[acc][7] + m8 ^= T512_24[acc][8] + m9 ^= T512_24[acc][9] + mA ^= T512_24[acc][10] + mB ^= T512_24[acc][11] + mC ^= T512_24[acc][12] + mD ^= T512_24[acc][13] + mE ^= T512_24[acc][14] + mF ^= T512_24[acc][15] + acc = uint(buf[4]) + m0 ^= T512_32[acc][0] + m1 ^= T512_32[acc][1] + m2 ^= T512_32[acc][2] + m3 ^= T512_32[acc][3] + m4 ^= T512_32[acc][4] + m5 ^= T512_32[acc][5] + m6 ^= T512_32[acc][6] + m7 ^= T512_32[acc][7] + m8 ^= T512_32[acc][8] + m9 ^= T512_32[acc][9] + mA ^= T512_32[acc][10] + mB ^= T512_32[acc][11] + mC ^= T512_32[acc][12] + mD ^= T512_32[acc][13] + mE ^= T512_32[acc][14] + mF ^= T512_32[acc][15] + acc = uint(buf[5]) + m0 ^= T512_40[acc][0] + m1 ^= T512_40[acc][1] + m2 ^= T512_40[acc][2] + m3 ^= T512_40[acc][3] + m4 ^= T512_40[acc][4] + m5 ^= T512_40[acc][5] + m6 ^= T512_40[acc][6] + m7 ^= T512_40[acc][7] + m8 ^= T512_40[acc][8] + m9 ^= T512_40[acc][9] + mA ^= T512_40[acc][10] + mB ^= T512_40[acc][11] + mC ^= T512_40[acc][12] + mD ^= T512_40[acc][13] + mE ^= T512_40[acc][14] + mF ^= T512_40[acc][15] + acc = uint(buf[6]) + m0 ^= T512_48[acc][0] + m1 ^= T512_48[acc][1] + m2 ^= T512_48[acc][2] + m3 ^= T512_48[acc][3] + m4 ^= T512_48[acc][4] + m5 ^= T512_48[acc][5] + m6 ^= T512_48[acc][6] + m7 ^= T512_48[acc][7] + m8 ^= T512_48[acc][8] + m9 ^= T512_48[acc][9] + mA ^= T512_48[acc][10] + mB ^= T512_48[acc][11] + mC ^= T512_48[acc][12] + mD ^= T512_48[acc][13] + mE ^= T512_48[acc][14] + mF ^= T512_48[acc][15] + acc = uint(buf[7]) + m0 ^= T512_56[acc][0] + m1 ^= T512_56[acc][1] + m2 ^= T512_56[acc][2] + m3 ^= T512_56[acc][3] + m4 ^= T512_56[acc][4] + m5 ^= T512_56[acc][5] + m6 ^= T512_56[acc][6] + m7 ^= T512_56[acc][7] + m8 ^= T512_56[acc][8] + m9 ^= T512_56[acc][9] + mA ^= T512_56[acc][10] + mB ^= T512_56[acc][11] + mC ^= T512_56[acc][12] + mD ^= T512_56[acc][13] + mE ^= T512_56[acc][14] + mF ^= T512_56[acc][15] + + for r := 0; r < 6; r++ { + m0 ^= alpha_n[0x00] + m1 ^= alpha_n[0x01] ^ (uint32)(r) + c0 ^= alpha_n[0x02] + c1 ^= alpha_n[0x03] + m2 ^= alpha_n[0x04] + m3 ^= alpha_n[0x05] + c2 ^= alpha_n[0x06] + c3 ^= alpha_n[0x07] + c4 ^= alpha_n[0x08] + c5 ^= alpha_n[0x09] + m4 ^= alpha_n[0x0A] + m5 ^= alpha_n[0x0B] + c6 ^= alpha_n[0x0C] + c7 ^= alpha_n[0x0D] + m6 ^= alpha_n[0x0E] + m7 ^= alpha_n[0x0F] + m8 ^= alpha_n[0x10] + m9 ^= alpha_n[0x11] + c8 ^= alpha_n[0x12] + c9 ^= alpha_n[0x13] + mA ^= alpha_n[0x14] + mB ^= alpha_n[0x15] + cA ^= alpha_n[0x16] + cB ^= alpha_n[0x17] + cC ^= alpha_n[0x18] + cD ^= alpha_n[0x19] + mC ^= alpha_n[0x1A] + mD ^= alpha_n[0x1B] + cE ^= alpha_n[0x1C] + cF ^= alpha_n[0x1D] + mE ^= alpha_n[0x1E] + mF ^= alpha_n[0x1F] + SBOX(&m0, &c4, &m8, &cC) + SBOX(&m1, &c5, &m9, &cD) + SBOX(&c0, &m4, &c8, &mC) + SBOX(&c1, &m5, &c9, &mD) + SBOX(&m2, &c6, &mA, &cE) + SBOX(&m3, &c7, &mB, &cF) + SBOX(&c2, &m6, &cA, &mE) + SBOX(&c3, &m7, &cB, &mF) + L(&m0, &c5, &c8, &mD) + L(&m1, &m4, &c9, &cE) + L(&c0, &m5, &mA, &cF) + L(&c1, &c6, &mB, &mE) + L(&m2, &c7, &cA, &mF) + L(&m3, &m6, &cB, &cC) + L(&c2, &m7, &m8, &cD) + L(&c3, &c4, &m9, &mC) + L(&m0, &c0, &m3, &c3) + L(&m8, &c9, &mB, &cA) + L(&c5, &m5, &c6, &m6) + L(&cD, &mC, &cE, &mF) + } + + h[0xF] ^= cB + h[0xE] ^= cA + h[0xD] ^= mB + h[0xC] ^= mA + h[0xB] ^= c9 + h[0xA] ^= c8 + h[0x9] ^= m9 + h[0x8] ^= m8 + h[0x7] ^= c3 + h[0x6] ^= c2 + h[0x5] ^= m3 + h[0x4] ^= m2 + h[0x3] ^= c1 + h[0x2] ^= c0 + h[0x1] ^= m1 + h[0x0] ^= m0 + + cF = h[0xF] + cE = h[0xE] + cD = h[0xD] + cC = h[0xC] + cB = h[0xB] + cA = h[0xA] + c9 = h[0x9] + c8 = h[0x8] + c7 = h[0x7] + c6 = h[0x6] + c5 = h[0x5] + c4 = h[0x4] + c3 = h[0x3] + c2 = h[0x2] + c1 = h[0x1] + c0 = h[0x0] + + buf = buf[8:] + } + + h[0x0] = c0 + h[0x1] = c1 + h[0x2] = c2 + h[0x3] = c3 + h[0x4] = c4 + h[0x5] = c5 + h[0x6] = c6 + h[0x7] = c7 + h[0x8] = c8 + h[0x9] = c9 + h[0xA] = cA + h[0xB] = cB + h[0xC] = cC + h[0xD] = cD + h[0xE] = cE + h[0xF] = cF + +} + +func hamsi_big_final_c_code(buf []uint8) { + var m0, m1, m2, m3, m4, m5, m6, m7, m8, m9, mA, mB, mC, mD, mE, mF uint32 + var c0, c1, c2, c3, c4, c5, c6, c7, c8, c9, cA, cB, cC, cD, cE, cF uint32 + + c0 = h[0x0] + c1 = h[0x1] + c2 = h[0x2] + c3 = h[0x3] + c4 = h[0x4] + c5 = h[0x5] + c6 = h[0x6] + c7 = h[0x7] + c8 = h[0x8] + c9 = h[0x9] + cA = h[0xA] + cB = h[0xB] + cC = h[0xC] + cD = h[0xD] + cE = h[0xE] + cF = h[0xF] + + var acc = uint(buf[0]) + m0 = T512_0[acc][0] + m1 = T512_0[acc][1] + m2 = T512_0[acc][2] + m3 = T512_0[acc][3] + m4 = T512_0[acc][4] + m5 = T512_0[acc][5] + m6 = T512_0[acc][6] + m7 = T512_0[acc][7] + m8 = T512_0[acc][8] + m9 = T512_0[acc][9] + mA = T512_0[acc][10] + mB = T512_0[acc][11] + mC = T512_0[acc][12] + mD = T512_0[acc][13] + mE = T512_0[acc][14] + mF = T512_0[acc][15] + acc = uint(buf[1]) + m0 ^= T512_8[acc][0] + m1 ^= T512_8[acc][1] + m2 ^= T512_8[acc][2] + m3 ^= T512_8[acc][3] + m4 ^= T512_8[acc][4] + m5 ^= T512_8[acc][5] + m6 ^= T512_8[acc][6] + m7 ^= T512_8[acc][7] + m8 ^= T512_8[acc][8] + m9 ^= T512_8[acc][9] + mA ^= T512_8[acc][10] + mB ^= T512_8[acc][11] + mC ^= T512_8[acc][12] + mD ^= T512_8[acc][13] + mE ^= T512_8[acc][14] + mF ^= T512_8[acc][15] + acc = uint(buf[2]) + m0 ^= T512_16[acc][0] + m1 ^= T512_16[acc][1] + m2 ^= T512_16[acc][2] + m3 ^= T512_16[acc][3] + m4 ^= T512_16[acc][4] + m5 ^= T512_16[acc][5] + m6 ^= T512_16[acc][6] + m7 ^= T512_16[acc][7] + m8 ^= T512_16[acc][8] + m9 ^= T512_16[acc][9] + mA ^= T512_16[acc][10] + mB ^= T512_16[acc][11] + mC ^= T512_16[acc][12] + mD ^= T512_16[acc][13] + mE ^= T512_16[acc][14] + mF ^= T512_16[acc][15] + acc = uint(buf[3]) + m0 ^= T512_24[acc][0] + m1 ^= T512_24[acc][1] + m2 ^= T512_24[acc][2] + m3 ^= T512_24[acc][3] + m4 ^= T512_24[acc][4] + m5 ^= T512_24[acc][5] + m6 ^= T512_24[acc][6] + m7 ^= T512_24[acc][7] + m8 ^= T512_24[acc][8] + m9 ^= T512_24[acc][9] + mA ^= T512_24[acc][10] + mB ^= T512_24[acc][11] + mC ^= T512_24[acc][12] + mD ^= T512_24[acc][13] + mE ^= T512_24[acc][14] + mF ^= T512_24[acc][15] + acc = uint(buf[4]) + m0 ^= T512_32[acc][0] + m1 ^= T512_32[acc][1] + m2 ^= T512_32[acc][2] + m3 ^= T512_32[acc][3] + m4 ^= T512_32[acc][4] + m5 ^= T512_32[acc][5] + m6 ^= T512_32[acc][6] + m7 ^= T512_32[acc][7] + m8 ^= T512_32[acc][8] + m9 ^= T512_32[acc][9] + mA ^= T512_32[acc][10] + mB ^= T512_32[acc][11] + mC ^= T512_32[acc][12] + mD ^= T512_32[acc][13] + mE ^= T512_32[acc][14] + mF ^= T512_32[acc][15] + acc = uint(buf[5]) + m0 ^= T512_40[acc][0] + m1 ^= T512_40[acc][1] + m2 ^= T512_40[acc][2] + m3 ^= T512_40[acc][3] + m4 ^= T512_40[acc][4] + m5 ^= T512_40[acc][5] + m6 ^= T512_40[acc][6] + m7 ^= T512_40[acc][7] + m8 ^= T512_40[acc][8] + m9 ^= T512_40[acc][9] + mA ^= T512_40[acc][10] + mB ^= T512_40[acc][11] + mC ^= T512_40[acc][12] + mD ^= T512_40[acc][13] + mE ^= T512_40[acc][14] + mF ^= T512_40[acc][15] + acc = uint(buf[6]) + m0 ^= T512_48[acc][0] + m1 ^= T512_48[acc][1] + m2 ^= T512_48[acc][2] + m3 ^= T512_48[acc][3] + m4 ^= T512_48[acc][4] + m5 ^= T512_48[acc][5] + m6 ^= T512_48[acc][6] + m7 ^= T512_48[acc][7] + m8 ^= T512_48[acc][8] + m9 ^= T512_48[acc][9] + mA ^= T512_48[acc][10] + mB ^= T512_48[acc][11] + mC ^= T512_48[acc][12] + mD ^= T512_48[acc][13] + mE ^= T512_48[acc][14] + mF ^= T512_48[acc][15] + acc = uint(buf[7]) + m0 ^= T512_56[acc][0] + m1 ^= T512_56[acc][1] + m2 ^= T512_56[acc][2] + m3 ^= T512_56[acc][3] + m4 ^= T512_56[acc][4] + m5 ^= T512_56[acc][5] + m6 ^= T512_56[acc][6] + m7 ^= T512_56[acc][7] + m8 ^= T512_56[acc][8] + m9 ^= T512_56[acc][9] + mA ^= T512_56[acc][10] + mB ^= T512_56[acc][11] + mC ^= T512_56[acc][12] + mD ^= T512_56[acc][13] + mE ^= T512_56[acc][14] + mF ^= T512_56[acc][15] + + for r := 0; r < 12; r++ { + m0 ^= alpha_f[0x00] + m1 ^= alpha_f[0x01] ^ (uint32)(r) + c0 ^= alpha_f[0x02] + c1 ^= alpha_f[0x03] + m2 ^= alpha_f[0x04] + m3 ^= alpha_f[0x05] + c2 ^= alpha_f[0x06] + c3 ^= alpha_f[0x07] + c4 ^= alpha_f[0x08] + c5 ^= alpha_f[0x09] + m4 ^= alpha_f[0x0A] + m5 ^= alpha_f[0x0B] + c6 ^= alpha_f[0x0C] + c7 ^= alpha_f[0x0D] + m6 ^= alpha_f[0x0E] + m7 ^= alpha_f[0x0F] + m8 ^= alpha_f[0x10] + m9 ^= alpha_f[0x11] + c8 ^= alpha_f[0x12] + c9 ^= alpha_f[0x13] + mA ^= alpha_f[0x14] + mB ^= alpha_f[0x15] + cA ^= alpha_f[0x16] + cB ^= alpha_f[0x17] + cC ^= alpha_f[0x18] + cD ^= alpha_f[0x19] + mC ^= alpha_f[0x1A] + mD ^= alpha_f[0x1B] + cE ^= alpha_f[0x1C] + cF ^= alpha_f[0x1D] + mE ^= alpha_f[0x1E] + mF ^= alpha_f[0x1F] + SBOX(&m0, &c4, &m8, &cC) + SBOX(&m1, &c5, &m9, &cD) + SBOX(&c0, &m4, &c8, &mC) + SBOX(&c1, &m5, &c9, &mD) + SBOX(&m2, &c6, &mA, &cE) + SBOX(&m3, &c7, &mB, &cF) + SBOX(&c2, &m6, &cA, &mE) + SBOX(&c3, &m7, &cB, &mF) + L(&m0, &c5, &c8, &mD) + L(&m1, &m4, &c9, &cE) + L(&c0, &m5, &mA, &cF) + L(&c1, &c6, &mB, &mE) + L(&m2, &c7, &cA, &mF) + L(&m3, &m6, &cB, &cC) + L(&c2, &m7, &m8, &cD) + L(&c3, &c4, &m9, &mC) + L(&m0, &c0, &m3, &c3) + L(&m8, &c9, &mB, &cA) + L(&c5, &m5, &c6, &m6) + L(&cD, &mC, &cE, &mF) + } + + h[0xF] ^= cB + h[0xE] ^= cA + h[0xD] ^= mB + h[0xC] ^= mA + h[0xB] ^= c9 + h[0xA] ^= c8 + h[0x9] ^= m9 + h[0x8] ^= m8 + h[0x7] ^= c3 + h[0x6] ^= c2 + h[0x5] ^= m3 + h[0x4] ^= m2 + h[0x3] ^= c1 + h[0x2] ^= c0 + h[0x1] ^= m1 + h[0x0] ^= m0 + + cF = h[0xF] + cE = h[0xE] + cD = h[0xD] + cC = h[0xC] + cB = h[0xB] + cA = h[0xA] + c9 = h[0x9] + c8 = h[0x8] + c7 = h[0x7] + c6 = h[0x6] + c5 = h[0x5] + c4 = h[0x4] + c3 = h[0x3] + c2 = h[0x2] + c1 = h[0x1] + c0 = h[0x0] + + h[0x0] = c0 + h[0x1] = c1 + h[0x2] = c2 + h[0x3] = c3 + h[0x4] = c4 + h[0x5] = c5 + h[0x6] = c6 + h[0x7] = c7 + h[0x8] = c8 + h[0x9] = c9 + h[0xA] = cA + h[0xB] = cB + h[0xC] = cC + h[0xD] = cD + h[0xE] = cE + h[0xF] = cF + +} + +func hamsi_big_init_c_code(iv []uint32) { + partial = make([]uint8, 8) + h = make([]uint32, 16) + partial_len = 0 + for i := 0; i < 16; i++ { + h[i] = iv[i] + } + count = 0 +} + +func hamsi_big_core_c_code(data []uint8, length uint) { + if partial_len != 0 { + var mlen = 8 - partial_len + if length < mlen { + for i := 0; uint(i) < length; i++ { + partial[partial_len+uint(i)] = data[i] + } + partial_len += length + return + } else { + for i := 0; uint(i) < mlen; i++ { + partial[partial_len+uint(i)] = data[i] + } + length -= mlen + data = data[mlen:] + hamsi_big_c_code(partial, 1) + partial_len = 0 + } + } + + hamsi_big_c_code(data, (length >> 3)) + data = data[(length & ^uint(7)):] + length &= uint(7) + for i := 0; uint(i) < length; i++ { + partial[i] = data[i] + } + partial_len = length +} + +func hamsi_big_close_c_code(ub, n uint, dst []uint8, out_size_w32 uint) { + var pad = make([]uint8, 8) + var ptr uint + var z int + + ptr = partial_len + binary.BigEndian.PutUint64(pad, count+uint64(ptr<<3)+uint64(n)) + z = 0x80 >> n + partial[ptr] = ((uint8(ub) & uint8(-z)) | uint8(z)) & 0xFF + ptr++ + for ; ptr < 8; ptr++ { + partial[ptr] = 0 + } + hamsi_big_c_code(partial, 1) + hamsi_big_final_c_code(pad) + + if out_size_w32 == 12 { + binary.BigEndian.PutUint32(dst[0:4], h[0]) + binary.BigEndian.PutUint32(dst[4:8], h[1]) + binary.BigEndian.PutUint32(dst[8:12], h[3]) + binary.BigEndian.PutUint32(dst[12:16], h[4]) + binary.BigEndian.PutUint32(dst[16:20], h[5]) + binary.BigEndian.PutUint32(dst[20:24], h[6]) + binary.BigEndian.PutUint32(dst[24:28], h[8]) + binary.BigEndian.PutUint32(dst[28:32], h[9]) + binary.BigEndian.PutUint32(dst[32:36], h[10]) + binary.BigEndian.PutUint32(dst[36:40], h[12]) + binary.BigEndian.PutUint32(dst[40:44], h[13]) + binary.BigEndian.PutUint32(dst[44:48], h[15]) + } else { + for u := 0; u < 16; u++ { + binary.BigEndian.PutUint32(dst[(u<<2):(u<<2)+4], h[u]) + } + } +} + +func Sph_hamsi512_process(data []uint8, dst []uint8, length uint) { + hamsi_big_init_c_code(IV512[:]) + hamsi_big_core_c_code(data, length) + hamsi_big_close_c_code(0, 0, dst, 16) +} diff --git a/crypto/x16rv3/hamsi/hamsi_test.go b/crypto/x16rv3/hamsi/hamsi_test.go new file mode 100644 index 0000000..7e510c8 --- /dev/null +++ b/crypto/x16rv3/hamsi/hamsi_test.go @@ -0,0 +1,36 @@ +// Copyright (c) 2020 The qitmeer developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package hamsi + +import ( + "encoding/hex" + "github.com/stretchr/testify/assert" + "testing" +) + +func TestSph_hamsi512_process(t *testing.T) { + test_hamsi512(t, "", "5cd7436a91e27fc809d7015c3407540633dab391127113ce6ba360f0c1e35f404510834a551610d6e871e75651ea381a8ba628af1dcf2b2be13af2eb6247290f") + test_hamsi512_hexInput(t, "cc", "7da1be62a813a8e24d200671cffb1d0be79d2bc176ff0b163b11eded2414ef66261ff52c745383442bc7f1884d5166f26f41d335fc2d2fdb2f93b24b8d079265") +} + +func test_hamsi512(t *testing.T, input string, wantOutput string) { + var in, out []byte + in = []byte(input) + out = make([]byte, 64) + Sph_hamsi512_process(in[:], out[:], uint(len(in))) + want, _ := hex.DecodeString(wantOutput) + //fmt.Printf(" inTxt: %s\noutput: %x \n", in, out) + assert.Equal(t, want, out) +} + +func test_hamsi512_hexInput(t *testing.T, hexInput string, wantOutput string) { + var in, out []byte + in, _ = hex.DecodeString(hexInput) + out = make([]byte, 64) + Sph_hamsi512_process(in[:], out[:], uint(len(in))) + want, _ := hex.DecodeString(wantOutput) + //fmt.Printf(" inHex: %x\noutput: %x \n", in, out) + assert.Equal(t, want, out) +} diff --git a/crypto/x16rv3/hash/digest.go b/crypto/x16rv3/hash/digest.go new file mode 100644 index 0000000..608479a --- /dev/null +++ b/crypto/x16rv3/hash/digest.go @@ -0,0 +1,10 @@ +package hash + +type Digest interface { + // See hash.Hash + Hash + + // Close the digest by writing the last bits and storing the hash + // in dst. This prepares the digest for reuse, calls Hash.Reset. + Close(dst []byte, bits uint8, bcnt uint8) error +} diff --git a/crypto/x16rv3/hash/digest_test.go b/crypto/x16rv3/hash/digest_test.go new file mode 100644 index 0000000..bae5548 --- /dev/null +++ b/crypto/x16rv3/hash/digest_test.go @@ -0,0 +1,8 @@ +package hash + +import "testing" + +func TestApiDigest(t *testing.T) { + // Note: Requires a basic test ? + // Just empty to easy ci integration. +} diff --git a/crypto/x16rv3/hash/hash.go b/crypto/x16rv3/hash/hash.go new file mode 100644 index 0000000..560ec45 --- /dev/null +++ b/crypto/x16rv3/hash/hash.go @@ -0,0 +1,25 @@ +package hash + +import "io" + +type Hash interface { + // Write (via the embedded io.Writer interface) adds more + // data to the running hash. It never returns an error. + io.Writer + + // Reset resets the Hash to its initial state. + Reset() + + // Sum appends the current hash to dst and returns the result + // as a slice. It does not change the underlying hash state. + Sum(dst []byte) []byte + + // Size returns the number of bytes Sum will return. + Size() int + + // BlockSize returns the hash's underlying block size. + // The Write method must be able to accept any amount + // of data, but it may operate more efficiently if + // all writes are a multiple of the block size. + BlockSize() int +} diff --git a/crypto/x16rv3/hash/hash_test.go b/crypto/x16rv3/hash/hash_test.go new file mode 100644 index 0000000..e51f009 --- /dev/null +++ b/crypto/x16rv3/hash/hash_test.go @@ -0,0 +1,8 @@ +package hash + +import "testing" + +func TestApiHash(t *testing.T) { + // Note: Requires a basic test ? + // Just empty to easy ci integration. +} diff --git a/crypto/x16rv3/jh/jh.go b/crypto/x16rv3/jh/jh.go new file mode 100644 index 0000000..2644ac2 --- /dev/null +++ b/crypto/x16rv3/jh/jh.go @@ -0,0 +1,526 @@ +package jh + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(64) + +type digest struct { + ptr uintptr + cnt uintptr + + h [16]uint64 + + b [BlockSize]byte +} + +// New returns a new digest compute a JH512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + ref.cnt = 0 + copy(ref.h[:], kInit[:]) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + buf := ref.b[:] + ptr := ref.ptr + + if sln < (BlockSize - ptr) { + copy(buf[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + var hi, lo [8]uint64 + hi[0] = ref.h[0x0] + lo[0] = ref.h[0x1] + hi[1] = ref.h[0x2] + lo[1] = ref.h[0x3] + hi[2] = ref.h[0x4] + lo[2] = ref.h[0x5] + hi[3] = ref.h[0x6] + lo[3] = ref.h[0x7] + hi[4] = ref.h[0x8] + lo[4] = ref.h[0x9] + hi[5] = ref.h[0xA] + lo[5] = ref.h[0xB] + hi[6] = ref.h[0xC] + lo[6] = ref.h[0xD] + hi[7] = ref.h[0xE] + lo[7] = ref.h[0xF] + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + m0h := decUInt64le(buf[0:]) + m0l := decUInt64le(buf[8:]) + m1h := decUInt64le(buf[16:]) + m1l := decUInt64le(buf[24:]) + m2h := decUInt64le(buf[32:]) + m2l := decUInt64le(buf[40:]) + m3h := decUInt64le(buf[48:]) + m3l := decUInt64le(buf[56:]) + + hi[0] ^= m0h + lo[0] ^= m0l + hi[1] ^= m1h + lo[1] ^= m1l + hi[2] ^= m2h + lo[2] ^= m2l + hi[3] ^= m3h + lo[3] ^= m3l + + for r := uint64(0); r < 42; r += 7 { + slMutateExtend(r+0, 0, hi[:], lo[:]) + slMutateExtend(r+1, 1, hi[:], lo[:]) + slMutateExtend(r+2, 2, hi[:], lo[:]) + slMutateExtend(r+3, 3, hi[:], lo[:]) + slMutateExtend(r+4, 4, hi[:], lo[:]) + slMutateExtend(r+5, 5, hi[:], lo[:]) + slMutateBasic(r+6, hi[:], lo[:]) + } + + hi[4] ^= m0h + lo[4] ^= m0l + hi[5] ^= m1h + lo[5] ^= m1l + hi[6] ^= m2h + lo[6] ^= m2l + hi[7] ^= m3h + lo[7] ^= m3l + + ref.cnt++ + ptr = 0 + } + } + + ref.h[0x0] = hi[0] + ref.h[0x1] = lo[0] + ref.h[0x2] = hi[1] + ref.h[0x3] = lo[1] + ref.h[0x4] = hi[2] + ref.h[0x5] = lo[2] + ref.h[0x6] = hi[3] + ref.h[0x7] = lo[3] + ref.h[0x8] = hi[4] + ref.h[0x9] = lo[4] + ref.h[0xA] = hi[5] + ref.h[0xB] = lo[5] + ref.h[0xC] = hi[6] + ref.h[0xD] = lo[6] + ref.h[0xE] = hi[7] + ref.h[0xF] = lo[7] + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("JH Close: dst min length: %d, got %d", HashSize, ln) + } + + var ocnt uintptr + var buf [128]uint8 + + { + off := uint8(0x80) >> bcnt + buf[0] = uint8((bits & -off) | off) + } + + if ref.ptr == 0 && bcnt == 0 { + ocnt = 47 + } else { + ocnt = 111 - ref.ptr + } + + l0 := uint64(bcnt) + l0 += uint64(ref.cnt << 9) + l0 += uint64(ref.ptr << 3) + l1 := uint64(ref.cnt >> 55) + + encUInt64be(buf[ocnt+1:], l1) + encUInt64be(buf[ocnt+9:], l0) + + ref.Write(buf[:ocnt+17]) + + for u := uintptr(0); u < 8; u++ { + encUInt64le(dst[(u<<3):], ref.h[u+8]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func decUInt64le(src []byte) uint64 { + return (uint64(src[0]) | + uint64(src[1])<<8 | + uint64(src[2])<<16 | + uint64(src[3])<<24 | + uint64(src[4])<<32 | + uint64(src[5])<<40 | + uint64(src[6])<<48 | + uint64(src[7])<<56) +} + +func encUInt64le(dst []byte, src uint64) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) + dst[4] = uint8(src >> 32) + dst[5] = uint8(src >> 40) + dst[6] = uint8(src >> 48) + dst[7] = uint8(src >> 56) +} + +func encUInt64be(dst []byte, src uint64) { + dst[0] = uint8(src >> 56) + dst[1] = uint8(src >> 48) + dst[2] = uint8(src >> 40) + dst[3] = uint8(src >> 32) + dst[4] = uint8(src >> 24) + dst[5] = uint8(src >> 16) + dst[6] = uint8(src >> 8) + dst[7] = uint8(src) +} + +func slMutateBasic(r uint64, hi, lo []uint64) { + var tmp = kSpec[(r<<2)+0] + hi[6] = ^hi[6] + hi[0] ^= tmp & ^hi[4] + tmp = tmp ^ (hi[0] & hi[2]) + hi[0] ^= hi[4] & hi[6] + hi[6] ^= ^hi[2] & hi[4] + hi[2] ^= hi[0] & hi[4] + hi[4] ^= hi[0] & ^hi[6] + hi[0] ^= hi[2] | hi[6] + hi[6] ^= hi[2] & hi[4] + hi[2] ^= tmp & hi[0] + hi[4] ^= tmp + + tmp = kSpec[(r<<2)+1] + lo[6] = ^lo[6] + lo[0] ^= tmp & ^lo[4] + tmp = tmp ^ (lo[0] & lo[2]) + lo[0] ^= lo[4] & lo[6] + lo[6] ^= ^lo[2] & lo[4] + lo[2] ^= lo[0] & lo[4] + lo[4] ^= lo[0] & ^lo[6] + lo[0] ^= lo[2] | lo[6] + lo[6] ^= lo[2] & lo[4] + lo[2] ^= tmp & lo[0] + lo[4] ^= tmp + + tmp = kSpec[(r<<2)+2] + hi[7] = ^hi[7] + hi[1] ^= tmp & ^hi[5] + tmp = tmp ^ (hi[1] & hi[3]) + hi[1] ^= hi[5] & hi[7] + hi[7] ^= ^hi[3] & hi[5] + hi[3] ^= hi[1] & hi[5] + hi[5] ^= hi[1] & ^hi[7] + hi[1] ^= hi[3] | hi[7] + hi[7] ^= hi[3] & hi[5] + hi[3] ^= tmp & hi[1] + hi[5] ^= tmp + + tmp = kSpec[(r<<2)+3] + lo[7] = ^lo[7] + lo[1] ^= tmp & ^lo[5] + tmp = tmp ^ (lo[1] & lo[3]) + lo[1] ^= lo[5] & lo[7] + lo[7] ^= ^lo[3] & lo[5] + lo[3] ^= lo[1] & lo[5] + lo[5] ^= lo[1] & ^lo[7] + lo[1] ^= lo[3] | lo[7] + lo[7] ^= lo[3] & lo[5] + lo[3] ^= tmp & lo[1] + lo[5] ^= tmp + + hi[1] ^= hi[2] + hi[3] ^= hi[4] + hi[5] ^= hi[6] ^ hi[0] + hi[7] ^= hi[0] + hi[0] ^= hi[3] + hi[2] ^= hi[5] + hi[4] ^= hi[7] ^ hi[1] + hi[6] ^= hi[1] + + lo[1] ^= lo[2] + lo[3] ^= lo[4] + lo[5] ^= lo[6] ^ lo[0] + lo[7] ^= lo[0] + lo[0] ^= lo[3] + lo[2] ^= lo[5] + lo[4] ^= lo[7] ^ lo[1] + lo[6] ^= lo[1] + + tmp = hi[1] + hi[1] = lo[1] + lo[1] = tmp + + tmp = hi[3] + hi[3] = lo[3] + lo[3] = tmp + + tmp = hi[5] + hi[5] = lo[5] + lo[5] = tmp + + tmp = hi[7] + hi[7] = lo[7] + lo[7] = tmp +} + +func slMutateExtend(r, ro uint64, hi, lo []uint64) { + var tmp = kSpec[(r<<2)+0] + hi[6] = ^hi[6] + hi[0] ^= tmp & ^hi[4] + tmp = tmp ^ (hi[0] & hi[2]) + hi[0] ^= hi[4] & hi[6] + hi[6] ^= ^hi[2] & hi[4] + hi[2] ^= hi[0] & hi[4] + hi[4] ^= hi[0] & ^hi[6] + hi[0] ^= hi[2] | hi[6] + hi[6] ^= hi[2] & hi[4] + hi[2] ^= tmp & hi[0] + hi[4] ^= tmp + + tmp = kSpec[(r<<2)+1] + lo[6] = ^lo[6] + lo[0] ^= tmp & ^lo[4] + tmp = tmp ^ (lo[0] & lo[2]) + lo[0] ^= lo[4] & lo[6] + lo[6] ^= ^lo[2] & lo[4] + lo[2] ^= lo[0] & lo[4] + lo[4] ^= lo[0] & ^lo[6] + lo[0] ^= lo[2] | lo[6] + lo[6] ^= lo[2] & lo[4] + lo[2] ^= tmp & lo[0] + lo[4] ^= tmp + + tmp = kSpec[(r<<2)+2] + hi[7] = ^hi[7] + hi[1] ^= tmp & ^hi[5] + tmp = tmp ^ (hi[1] & hi[3]) + hi[1] ^= hi[5] & hi[7] + hi[7] ^= ^hi[3] & hi[5] + hi[3] ^= hi[1] & hi[5] + hi[5] ^= hi[1] & ^hi[7] + hi[1] ^= hi[3] | hi[7] + hi[7] ^= hi[3] & hi[5] + hi[3] ^= tmp & hi[1] + hi[5] ^= tmp + + tmp = kSpec[(r<<2)+3] + lo[7] = ^lo[7] + lo[1] ^= tmp & ^lo[5] + tmp = tmp ^ (lo[1] & lo[3]) + lo[1] ^= lo[5] & lo[7] + lo[7] ^= ^lo[3] & lo[5] + lo[3] ^= lo[1] & lo[5] + lo[5] ^= lo[1] & ^lo[7] + lo[1] ^= lo[3] | lo[7] + lo[7] ^= lo[3] & lo[5] + lo[3] ^= tmp & lo[1] + lo[5] ^= tmp + + hi[1] ^= hi[2] + hi[3] ^= hi[4] + hi[5] ^= hi[6] ^ hi[0] + hi[7] ^= hi[0] + hi[0] ^= hi[3] + hi[2] ^= hi[5] + hi[4] ^= hi[7] ^ hi[1] + hi[6] ^= hi[1] + + lo[1] ^= lo[2] + lo[3] ^= lo[4] + lo[5] ^= lo[6] ^ lo[0] + lo[7] ^= lo[0] + lo[0] ^= lo[3] + lo[2] ^= lo[5] + lo[4] ^= lo[7] ^ lo[1] + lo[6] ^= lo[1] + + tmp = (hi[1] & (kWrapValue[ro])) << (kWrapOffset[ro]) + hi[1] = ((hi[1] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + tmp = (lo[1] & (kWrapValue[ro])) << (kWrapOffset[ro]) + lo[1] = ((lo[1] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + + tmp = (hi[3] & (kWrapValue[ro])) << (kWrapOffset[ro]) + hi[3] = ((hi[3] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + tmp = (lo[3] & (kWrapValue[ro])) << (kWrapOffset[ro]) + lo[3] = ((lo[3] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + + tmp = (hi[5] & (kWrapValue[ro])) << (kWrapOffset[ro]) + hi[5] = ((hi[5] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + tmp = (lo[5] & (kWrapValue[ro])) << (kWrapOffset[ro]) + lo[5] = ((lo[5] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + + tmp = (hi[7] & (kWrapValue[ro])) << (kWrapOffset[ro]) + hi[7] = ((hi[7] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp + tmp = (lo[7] & (kWrapValue[ro])) << (kWrapOffset[ro]) + lo[7] = ((lo[7] >> (kWrapOffset[ro])) & (kWrapValue[ro])) | tmp +} + +var kInit = []uint64{ + uint64(0x17aa003e964bd16f), uint64(0x43d5157a052e6a63), + uint64(0x0bef970c8d5e228a), uint64(0x61c3b3f2591234e9), + uint64(0x1e806f53c1a01d89), uint64(0x806d2bea6b05a92a), + uint64(0xa6ba7520dbcc8e58), uint64(0xf73bf8ba763a0fa9), + uint64(0x694ae34105e66901), uint64(0x5ae66f2e8e8ab546), + uint64(0x243c84c1d0a74710), uint64(0x99c15a2db1716e3b), + uint64(0x56f8b19decf657cf), uint64(0x56b116577c8806a7), + uint64(0xfb1785e6dffcc2e3), uint64(0x4bdd8ccc78465a54), +} + +var kSpec = []uint64{ + uint64(0x67f815dfa2ded572), uint64(0x571523b70a15847b), + uint64(0xf6875a4d90d6ab81), uint64(0x402bd1c3c54f9f4e), + uint64(0x9cfa455ce03a98ea), uint64(0x9a99b26699d2c503), + uint64(0x8a53bbf2b4960266), uint64(0x31a2db881a1456b5), + uint64(0xdb0e199a5c5aa303), uint64(0x1044c1870ab23f40), + uint64(0x1d959e848019051c), uint64(0xdccde75eadeb336f), + uint64(0x416bbf029213ba10), uint64(0xd027bbf7156578dc), + uint64(0x5078aa3739812c0a), uint64(0xd3910041d2bf1a3f), + uint64(0x907eccf60d5a2d42), uint64(0xce97c0929c9f62dd), + uint64(0xac442bc70ba75c18), uint64(0x23fcc663d665dfd1), + uint64(0x1ab8e09e036c6e97), uint64(0xa8ec6c447e450521), + uint64(0xfa618e5dbb03f1ee), uint64(0x97818394b29796fd), + uint64(0x2f3003db37858e4a), uint64(0x956a9ffb2d8d672a), + uint64(0x6c69b8f88173fe8a), uint64(0x14427fc04672c78a), + uint64(0xc45ec7bd8f15f4c5), uint64(0x80bb118fa76f4475), + uint64(0xbc88e4aeb775de52), uint64(0xf4a3a6981e00b882), + uint64(0x1563a3a9338ff48e), uint64(0x89f9b7d524565faa), + uint64(0xfde05a7c20edf1b6), uint64(0x362c42065ae9ca36), + uint64(0x3d98fe4e433529ce), uint64(0xa74b9a7374f93a53), + uint64(0x86814e6f591ff5d0), uint64(0x9f5ad8af81ad9d0e), + uint64(0x6a6234ee670605a7), uint64(0x2717b96ebe280b8b), + uint64(0x3f1080c626077447), uint64(0x7b487ec66f7ea0e0), + uint64(0xc0a4f84aa50a550d), uint64(0x9ef18e979fe7e391), + uint64(0xd48d605081727686), uint64(0x62b0e5f3415a9e7e), + uint64(0x7a205440ec1f9ffc), uint64(0x84c9f4ce001ae4e3), + uint64(0xd895fa9df594d74f), uint64(0xa554c324117e2e55), + uint64(0x286efebd2872df5b), uint64(0xb2c4a50fe27ff578), + uint64(0x2ed349eeef7c8905), uint64(0x7f5928eb85937e44), + uint64(0x4a3124b337695f70), uint64(0x65e4d61df128865e), + uint64(0xe720b95104771bc7), uint64(0x8a87d423e843fe74), + uint64(0xf2947692a3e8297d), uint64(0xc1d9309b097acbdd), + uint64(0xe01bdc5bfb301b1d), uint64(0xbf829cf24f4924da), + uint64(0xffbf70b431bae7a4), uint64(0x48bcf8de0544320d), + uint64(0x39d3bb5332fcae3b), uint64(0xa08b29e0c1c39f45), + uint64(0x0f09aef7fd05c9e5), uint64(0x34f1904212347094), + uint64(0x95ed44e301b771a2), uint64(0x4a982f4f368e3be9), + uint64(0x15f66ca0631d4088), uint64(0xffaf52874b44c147), + uint64(0x30c60ae2f14abb7e), uint64(0xe68c6eccc5b67046), + uint64(0x00ca4fbd56a4d5a4), uint64(0xae183ec84b849dda), + uint64(0xadd1643045ce5773), uint64(0x67255c1468cea6e8), + uint64(0x16e10ecbf28cdaa3), uint64(0x9a99949a5806e933), + uint64(0x7b846fc220b2601f), uint64(0x1885d1a07facced1), + uint64(0xd319dd8da15b5932), uint64(0x46b4a5aac01c9a50), + uint64(0xba6b04e467633d9f), uint64(0x7eee560bab19caf6), + uint64(0x742128a9ea79b11f), uint64(0xee51363b35f7bde9), + uint64(0x76d350755aac571d), uint64(0x01707da3fec2463a), + uint64(0x42d8a498afc135f7), uint64(0x79676b9e20eced78), + uint64(0xa8db3aea15638341), uint64(0x832c83324d3bc3fa), + uint64(0xf347271c1f3b40a7), uint64(0x9a762db734f04059), + uint64(0xfd4f21d26c4e3ee7), uint64(0xef5957dc398dfdb8), + uint64(0xdaeb492b490c9b8d), uint64(0x0d70f36849d7a25b), + uint64(0x84558d7ad0ae3b7d), uint64(0x658ef8e4f0e9a5f5), + uint64(0x533b1036f4a2b8a0), uint64(0x5aec3e759e07a80c), + uint64(0x4f88e85692946891), uint64(0x4cbcbaf8555cb05b), + uint64(0x7b9487f3993bbbe3), uint64(0x5d1c6b72d6f4da75), + uint64(0x6db334dc28acae64), uint64(0x71db28b850a5346c), + uint64(0x2a518d10f2e261f8), uint64(0xfc75dd593364dbe3), + uint64(0xa23fce43f1bcac1c), uint64(0xb043e8023cd1bb67), + uint64(0x75a12988ca5b0a33), uint64(0x5c5316b44d19347f), + uint64(0x1e4d790ec3943b92), uint64(0x3fafeeb6d7757479), + uint64(0x21391abef7d4a8ea), uint64(0x5127234c097ef45c), + uint64(0xd23c32ba5324a326), uint64(0xadd5a66d4a17a344), + uint64(0x08c9f2afa63e1db5), uint64(0x563c6b91983d5983), + uint64(0x4d608672a17cf84c), uint64(0xf6c76e08cc3ee246), + uint64(0x5e76bcb1b333982f), uint64(0x2ae6c4efa566d62b), + uint64(0x36d4c1bee8b6f406), uint64(0x6321efbc1582ee74), + uint64(0x69c953f40d4ec1fd), uint64(0x26585806c45a7da7), + uint64(0x16fae0061614c17e), uint64(0x3f9d63283daf907e), + uint64(0x0cd29b00e3f2c9d2), uint64(0x300cd4b730ceaa5f), + uint64(0x9832e0f216512a74), uint64(0x9af8cee3d830eb0d), + uint64(0x9279f1b57b9ec54b), uint64(0xd36886046ee651ff), + uint64(0x316796e6574d239b), uint64(0x05750a17f3a6e6cc), + uint64(0xce6c3213d98176b1), uint64(0x62a205f88452173c), + uint64(0x47154778b3cb2bf4), uint64(0x486a9323825446ff), + uint64(0x65655e4e0758df38), uint64(0x8e5086fc897cfcf2), + uint64(0x86ca0bd0442e7031), uint64(0x4e477830a20940f0), + uint64(0x8338f7d139eea065), uint64(0xbd3a2ce437e95ef7), + uint64(0x6ff8130126b29721), uint64(0xe7de9fefd1ed44a3), + uint64(0xd992257615dfa08b), uint64(0xbe42dc12f6f7853c), + uint64(0x7eb027ab7ceca7d8), uint64(0xdea83eaada7d8d53), + uint64(0xd86902bd93ce25aa), uint64(0xf908731afd43f65a), + uint64(0xa5194a17daef5fc0), uint64(0x6a21fd4c33664d97), + uint64(0x701541db3198b435), uint64(0x9b54cdedbb0f1eea), + uint64(0x72409751a163d09a), uint64(0xe26f4791bf9d75f6), +} + +var kWrapValue = []uint64{ + uint64(0x5555555555555555), + uint64(0x3333333333333333), + uint64(0x0F0F0F0F0F0F0F0F), + uint64(0x00FF00FF00FF00FF), + uint64(0x0000FFFF0000FFFF), + uint64(0x00000000FFFFFFFF), +} + +var kWrapOffset = []uint64{ + 1, 2, 4, 8, 16, 32, +} diff --git a/crypto/x16rv3/jh/jh_test.go b/crypto/x16rv3/jh/jh_test.go new file mode 100644 index 0000000..780be05 --- /dev/null +++ b/crypto/x16rv3/jh/jh_test.go @@ -0,0 +1,2161 @@ +package jh + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{ + "90ECF2F76F9D2C8017D979AD5AB96B87D58FC8FC4B83060F3F900774FAA2C8FABE69C5F4FF1EC2B61D6B316941CEDEE117FB04B1F4C5BC1B919AE841C50EEC4F", + "0C6CC1FE8EDF03AD639CBBE90F796A4F9BF196EAC21D3C9F1E44FC02F60D6F516A0C3A5BF636223C9AFB2EF49DDCCCBE2431E965B413088712E2F40662EB466E", + "22CB8EE605509C9BACF7EAB397490955E50FD4E9776856971D0C1EF1E348BA2A3B9846A011BAB13FCC0DDD2BFC0ED597E2765E2CBB6964C6CA82C3DB14B69A9E", + "54BA5BF276553988A6204BB47EF7D9600D6B8936E29BB6BE8B6FFFC3F74518901E0E4D6849743BDC777B394D96FD9E285EC92873348646517FEC30B02FAD60E3", + "5D05C41D006F9CB9645AFC9C64E20914756F88E3D1E2D5F791953CBCE7473F2FDE84BBC2DDC72DC0FBADF9E9B09747E252C7E28D662821DC36E01781D20CAE30", + "737E967515A170E5E7D142CF73A2BEA88432EF40B4A3A17F97CCA92B40B1AF3B30DCE5379196AE55764AAAA7DB18BB30603299ECED8AE657CC97FF6D4F495BE3", + "BEFD7DE5137E8E29412DA5D9E033C9F397B352A3BE98A9216DCB52B8CD983277B537C525CECCC6EA37159F9B25A06006CFA9EF81DE0EE17D9432494F0D5236B7", + "E5B38AE3B8E0C18EF56624DD5029DA7AD900B324CD6BEA91FD8AD03DD07ED7B56487AB8055BFAF7D9E5941FA369EBC68C1CED103AE5CA4AAB8778E99AACE96C6", + "277C93806945992A7F10102F28471AF2783FE32003B3F63320810E74F1BC233BF8669AB4B922DB9EF13FCDCD4D31193B731EEDDE98FC87C129C04A4A1071F66F", + "918BA65EA8594D2168141282DD229E77F6FFC2F97F7636B1119D4214F72803143C2C0A44AA39C1F8887870173FDE94B4525CECAF97D1A4CFB5C33BC85F74AD24", + "B7242FDE185CEE215731584005367DE04E37FDF6E5EC62A80CF3065EE298963BE0EBE32CCEDF6AB8E1ACF7064DC447F1D1D4DE21BEFB50CECB7629EECA404A7B", + "73F10BB97B3E107773B2CF4C3B18AA2E2C65A3C9CB5F9783093CB561D00944F6F0FB4E2CC68E98AF805EAA72F69955CDAE7AEB09EDE01B8E7054D38C20F43C1D", + "7B7B41CA7D41DAE48D2848CDEF66F3FCC5366CD17DE579B26D61805EB182D1225EF6C3DE5870755F4378ACE7680445EDB928A26E9FE8569C37ED5BB27C354056", + "F56B50BDB0091240FE62D91D68B88CC761E509F322F842D68730819D8924D6C5728CEF119766142C786FD510159E220CF09E6D58FBE243B671816EA4C4575F8E", + "01F44F68BE01FA58FEAB13309C1B617132CC0EACBCA72613F316DBFFCC86D9979123AFE52AB5E3D8F6409C03CC9FF102AEB285CBE0C66C6334FECD2AF9A1C28A", + "55E97311DD5D3862871F2A841BB95C8668F155D4914CE8E358CC6BADE92F673ABA54524239BFB2267B028E45DCBDCF4123FCE011A5685ED190B58FDDFB8E54D8", + "5D80BE996BA553A0C68FD539FF3859CED2D1FA627AFADDE83464A9F67CAB6D66A32749B5228482A5F4A11332D62974547CB8FF90EBA9DDF03272F873457563F0", + "1BC870CA2A606EF710B6311CB12897007B39942B9D9AD88101F4FFD2A32C60F8E627357F058E61E786B0A11875DAA43F6FF8CB6A2A33C8B8ECDB3E20D9C738A4", + "039C98E7DC8F9A44450BDB59293FCD3279F360210D17D3BCA3DBE13F4B13A3E650956170841A34D778A10D8A2538CA7B513EE8404C0FEA6C7694E917DE8ECC7E", + "819993B1CFF2E00E9DD943B1DDB9AC853B75F0DBFA1FF7C245AB957AFC7E374CA4B1FB0BFB1420746671211F4290EC2368DD194ADD48819ED966090AD536748E", + "A4708F69A2F2A49C3D4043BB1CF8E598D1135D74022B141AA692DE62F8DF6CC384BE759808FCF0E3DE7B0246A030298180D3AE2D7EA5853D3B46501B58F2DE10", + "8A7B3C05A869DB6B3E4CD5AC5D1D50C1AEC5ECFE23247ADF2C00F28EAAB6BCEB982225F2C281F2BF12E2213538FC8ECD0BBA1A689EA54B728B766890A1754CAE", + "7314B3F7AA6799379493EBD498D1D0FBBCB936CC2A21CA82F22CFF01C609FB8C4E93E4F0E72A873C44378BAC120A36B644461BCB8A08A0B6D9222DCEC7756FF0", + "111946280C8122816FE0E2228324A213B30602B421C2061A10CADCDD0F93FC479C3EAD5911241DF7C4BF7354D83654BC6F8E9AC5D6A8612242833F185A755B16", + "FD745541F728856A4FE34D53EC2B17A03C9B83C321EA69E708C354198821AAFD98EF2062B566308374763A55AA0291F99A42D9CDBE36952FF58D00A689C2E6A9", + "C2EEC383DE341F435C33922B51B7605F0939F0537B79DA02D7BD515D81589AA2DD74B52EA548BE80BC43DDBD44663705108593B3BA57C13388405401070C1CB2", + "6FC16A85A5F1C38E91DB19B67B8AD2107B30EE946D02C2B2971C98821F06FBE3F8953769517A311794B37F47071DE0634EAF387D589AE560A158955BDEAFDCBD", + "BFB63FF89B22F54865862298982FBF838BBE14B9F370FC4492A63B77CF40138962E439194356195DA63F4DBE73384020F968BD8E3BE15537145FD7A5D511CEDA", + "6476FE4AFE5DBE65B21F68609CA0DD6819B2DA0296DD8FA09B8DCBF6D50FA0002E6F77B4261D57DEAFCEDBF317AF84E927BD75ACB0ADABEC114F57809413C7F5", + "1D1A3AABDCA922C654184785B07D1AC7C0FD38BC177910E770E8A571D187A03C66A2A587FD8FD07A41477D9423A9F787098CD7381D0B3851A1576DA4C6BEE1BD", + "C5560F6061A84F7943DB36DFF6F57CFBB9DDE50B7523408346F4A8371EF9B841F0BBFB44CB69D922BE6AAFA13D6D21D635B2182FED3EB4465A639DCF1BB6F388", + "B6DC956B0DF330195BE156A6E55A3B7AF321DF6AB16E813293DADBF1D9F2D0C491D427758AE32B49CFCEEF24484E2FC755730B22848F0A9D6A483822B4C0D096", + "6027C238EB7B1D60B64B72EA11713C52DB49FBE9582B6FE9383D0D6F9D120ED85710C2FCE6FF2D5A173C5AE7766ED286C0896330DF7F308638DAB6FC915FC86B", + "E19797EE65ED79C1CEA17A9FB1A1420E55628D92EF8B1EF641F65D223A2ABC0B96371957C1534A7F4FC587398FB409D9EFEEF57A4E5EBFB4B06573606C94E451", + "B17A2D8D00E5947718D25401C2B7C0AB719541097FD9786BC15E9B6834E1EEB01CBBB1A96143804EA01B6B91E4CD54802CD163C12037D20110E417D27F0D8236", + "154DFDFF1C3068F3F3673171DA657A9677F1D765C25622D3A868D8C22294FD3D2FB131635661D686ED029A85943F055A8BC24D1403AFF9308BC3DDF18CD3CCD3", + "5E6B42FDBE823BAE37A3EF84DEA1620D60F040AF66B9339B92A8EABDF3F622E3AC9DE128DC344BDAC43D95A31A37CF08C0B5076288BD007407760BEE473F45EC", + "1265A5D5D5EECB1AF722D9843CAE355EFAA8CCF5825436C46AD111AD054EC7010F083211D9BF2E45CB3101BF22B6747EED96F297929C19B6B46CD3B800F738A8", + "5C2A35E1853E06C0F1FEEB107AA7DADF5D10E7D41D6DCF56E008F561FF51961FED5923DCF84C96A0DA0557A796D21CC7E7888B7853A2D49120CAC69CDE18CA9E", + "79DCE28CFD1DB00C9A8711A1ECE013620E9C6B89C518533F6A44C4BFE77EC77F1A389D17F0E6226100B5253FE2832D1CC8AAE1385FB1445674E15E6F6E833587", + "E334B2946942583370CE0B840D31752F35DE5087F5AB3405872087B496DB14C8CDC2C138B3A26A3191D7B9134DD5ACF8EBCFEA0D2BDED060ED3290A4A33FC3FC", + "B3479BD2D5B6BEC1F8B1B38E383B99812FA0E8CCF1048AAFAD7BEE45EF207F7D86E060A1CBBEF5161563A9A3C5F974CAA1C7963D6D52417A3A69283CE2E5C64C", + "C7F4E9530EA7F370EB1268C2BC56B1B0B2EF8BFEEE1156573647031D85ECF5643E8253B578DA25916BFF1C61E74635A4FD03C29D5BF1E74A5055EE500C9D1A26", + "A98682707B4C25430FD5A1408FFC1D152FF784F5E66C680FE336319BD9FFF4B839484B75FE71AAE5DAF4C53397119EA2B3FBE1689025C48E6B9F02C6B729688E", + "63A83313B4CE817236728678269F326B85AA43CFA6E1CACB3F163A88E41241308DD55674F23B92886B806A3869396B13E2ADE444D831533858EDBB575C17F52D", + 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"A9D048CA86E6134E007A216B2E980A517FBE478BA3EF03749C7F38B2AB40CEAB23CE71C8639CC94F4855164B6F37D876123D8904389C4E543FEB5639AFD113A4", +} diff --git a/crypto/x16rv3/keccak/keccak.go b/crypto/x16rv3/keccak/keccak.go new file mode 100644 index 0000000..4c28717 --- /dev/null +++ b/crypto/x16rv3/keccak/keccak.go @@ -0,0 +1,440 @@ +package keccak + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(72) + +type digest struct { + ptr uintptr + cnt uintptr + + h [25]uint64 + + b [144]byte +} + +// New returns a new digest compute a KECCAK512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + ref.cnt = 200 - (512 >> 2) + + h := ref.h[:] + h[0] = uint64(0x0) + h[1] = uint64(0xFFFFFFFFFFFFFFFF) + h[2] = uint64(0xFFFFFFFFFFFFFFFF) + h[3] = uint64(0x0) + h[4] = uint64(0x0) + h[5] = uint64(0x0) + h[6] = uint64(0x0) + h[7] = uint64(0x0) + h[8] = uint64(0xFFFFFFFFFFFFFFFF) + h[9] = uint64(0x0) + h[10] = uint64(0x0) + h[11] = uint64(0x0) + h[12] = uint64(0xFFFFFFFFFFFFFFFF) + h[13] = uint64(0x0) + h[14] = uint64(0x0) + h[15] = uint64(0x0) + h[16] = uint64(0x0) + h[17] = uint64(0xFFFFFFFFFFFFFFFF) + h[18] = uint64(0x0) + h[19] = uint64(0x0) + h[20] = uint64(0xFFFFFFFFFFFFFFFF) + h[21] = uint64(0x0) + h[22] = uint64(0x0) + h[23] = uint64(0x0) + h[24] = uint64(0x0) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + buf := ref.b[:] + sta := ref.h[:] + + if sln < (BlockSize - ptr) { + copy(ref.b[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + sta[0] ^= decUInt64le(buf[0:]) + sta[1] ^= decUInt64le(buf[8:]) + sta[2] ^= decUInt64le(buf[16:]) + sta[3] ^= decUInt64le(buf[24:]) + sta[4] ^= decUInt64le(buf[32:]) + sta[5] ^= decUInt64le(buf[40:]) + sta[6] ^= decUInt64le(buf[48:]) + sta[7] ^= decUInt64le(buf[56:]) + sta[8] ^= decUInt64le(buf[64:]) + + for j := uintptr(0); j < 24; j++ { + var t0, t1, t2, t3, t4, tp uint64 + + { + var tt0, tt1, tt2, tt3 uint64 + + tt0 = sta[1] ^ sta[6] + tt1 = sta[11] ^ sta[16] + tt0 = tt0 ^ sta[21] + tt0 = tt0 ^ tt1 + tt0 = (tt0 << 1) | (tt0 >> (64 - 1)) + tt2 = sta[4] ^ sta[9] + tt3 = sta[14] ^ sta[19] + tt0 = tt0 ^ sta[24] + tt2 = tt2 ^ tt3 + t0 = tt0 ^ tt2 + + tt0 = sta[2] ^ sta[7] + tt1 = sta[12] ^ sta[17] + tt0 = tt0 ^ sta[22] + tt0 = tt0 ^ tt1 + tt0 = (tt0 << 1) | (tt0 >> (64 - 1)) + tt2 = sta[0] ^ sta[5] + tt3 = sta[10] ^ sta[15] + tt0 = tt0 ^ sta[20] + tt2 = tt2 ^ tt3 + t1 = tt0 ^ tt2 + + tt0 = sta[3] ^ sta[8] + tt1 = sta[13] ^ sta[18] + tt0 = tt0 ^ sta[23] + tt0 = tt0 ^ tt1 + tt0 = (tt0 << 1) | (tt0 >> (64 - 1)) + tt2 = sta[1] ^ sta[6] + tt3 = sta[11] ^ sta[16] + tt0 = tt0 ^ sta[21] + tt2 = tt2 ^ tt3 + t2 = tt0 ^ tt2 + + tt0 = sta[4] ^ sta[9] + tt1 = sta[14] ^ sta[19] + tt0 = tt0 ^ sta[24] + tt0 = tt0 ^ tt1 + tt0 = (tt0 << 1) | (tt0 >> (64 - 1)) + tt2 = sta[2] ^ sta[7] + tt3 = sta[12] ^ sta[17] + tt0 = tt0 ^ sta[22] + tt2 = tt2 ^ tt3 + t3 = tt0 ^ tt2 + + tt0 = sta[0] ^ sta[5] + tt1 = sta[10] ^ sta[15] + tt0 = tt0 ^ sta[20] + tt0 = tt0 ^ tt1 + tt0 = (tt0 << 1) | (tt0 >> (64 - 1)) + tt2 = sta[3] ^ sta[8] + tt3 = sta[13] ^ sta[18] + tt0 = tt0 ^ sta[23] + tt2 = tt2 ^ tt3 + t4 = tt0 ^ tt2 + } + + sta[0] = sta[0] ^ t0 + sta[1] = sta[1] ^ t1 + sta[2] = sta[2] ^ t2 + sta[3] = sta[3] ^ t3 + sta[4] = sta[4] ^ t4 + sta[5] = sta[5] ^ t0 + sta[6] = sta[6] ^ t1 + sta[7] = sta[7] ^ t2 + sta[8] = sta[8] ^ t3 + sta[9] = sta[9] ^ t4 + sta[10] = sta[10] ^ t0 + sta[11] = sta[11] ^ t1 + sta[12] = sta[12] ^ t2 + sta[13] = sta[13] ^ t3 + sta[14] = sta[14] ^ t4 + sta[15] = sta[15] ^ t0 + sta[16] = sta[16] ^ t1 + sta[17] = sta[17] ^ t2 + sta[18] = sta[18] ^ t3 + sta[23] = sta[23] ^ t3 + sta[19] = sta[19] ^ t4 + sta[20] = sta[20] ^ t0 + sta[22] = sta[22] ^ t2 + sta[21] = sta[21] ^ t1 + sta[24] = sta[24] ^ t4 + + sta[1] = (sta[1] << 1) | (sta[1] >> (64 - 1)) + sta[2] = (sta[2] << 62) | (sta[2] >> (64 - 62)) + sta[3] = (sta[3] << 28) | (sta[3] >> (64 - 28)) + sta[4] = (sta[4] << 27) | (sta[4] >> (64 - 27)) + sta[5] = (sta[5] << 36) | (sta[5] >> (64 - 36)) + sta[6] = (sta[6] << 44) | (sta[6] >> (64 - 44)) + sta[7] = (sta[7] << 6) | (sta[7] >> (64 - 6)) + sta[8] = (sta[8] << 55) | (sta[8] >> (64 - 55)) + sta[9] = (sta[9] << 20) | (sta[9] >> (64 - 20)) + sta[10] = (sta[10] << 3) | (sta[10] >> (64 - 3)) + sta[11] = (sta[11] << 10) | (sta[11] >> (64 - 10)) + sta[12] = (sta[12] << 43) | (sta[12] >> (64 - 43)) + sta[13] = (sta[13] << 25) | (sta[13] >> (64 - 25)) + sta[14] = (sta[14] << 39) | (sta[14] >> (64 - 39)) + sta[15] = (sta[15] << 41) | (sta[15] >> (64 - 41)) + sta[16] = (sta[16] << 45) | (sta[16] >> (64 - 45)) + sta[17] = (sta[17] << 15) | (sta[17] >> (64 - 15)) + sta[18] = (sta[18] << 21) | (sta[18] >> (64 - 21)) + sta[19] = (sta[19] << 8) | (sta[19] >> (64 - 8)) + sta[20] = (sta[20] << 18) | (sta[20] >> (64 - 18)) + sta[21] = (sta[21] << 2) | (sta[21] >> (64 - 2)) + sta[22] = (sta[22] << 61) | (sta[22] >> (64 - 61)) + sta[23] = (sta[23] << 56) | (sta[23] >> (64 - 56)) + sta[24] = (sta[24] << 14) | (sta[24] >> (64 - 14)) + + tp = ^sta[12] + t0 = sta[6] | sta[12] + t0 = sta[0] ^ t0 + t1 = tp | sta[18] + t1 = sta[6] ^ t1 + t2 = sta[18] & sta[24] + t2 = sta[12] ^ t2 + t3 = sta[24] | sta[0] + t3 = sta[18] ^ t3 + t4 = sta[0] & sta[6] + t4 = sta[24] ^ t4 + + sta[0] = t0 + sta[6] = t1 + sta[12] = t2 + sta[18] = t3 + sta[24] = t4 + + tp = ^sta[22] + t0 = sta[9] | sta[10] + t0 = sta[3] ^ t0 + t1 = sta[10] & sta[16] + t1 = sta[9] ^ t1 + t2 = sta[16] | tp + t2 = sta[10] ^ t2 + t3 = sta[22] | sta[3] + t3 = sta[16] ^ t3 + t4 = sta[3] & sta[9] + t4 = sta[22] ^ t4 + + sta[3] = t0 + sta[9] = t1 + sta[10] = t2 + sta[16] = t3 + sta[22] = t4 + + tp = ^sta[19] + t0 = sta[7] | sta[13] + t0 = sta[1] ^ t0 + t1 = sta[13] & sta[19] + t1 = sta[7] ^ t1 + t2 = tp & sta[20] + t2 = sta[13] ^ t2 + t3 = sta[20] | sta[1] + t3 = tp ^ t3 + t4 = sta[1] & sta[7] + t4 = sta[20] ^ t4 + + sta[1] = t0 + sta[7] = t1 + sta[13] = t2 + sta[19] = t3 + sta[20] = t4 + + tp = ^sta[17] + t0 = sta[5] & sta[11] + t0 = sta[4] ^ t0 + t1 = sta[11] | sta[17] + t1 = sta[5] ^ t1 + t2 = tp | sta[23] + t2 = sta[11] ^ t2 + t3 = sta[23] & sta[4] + t3 = tp ^ t3 + t4 = sta[4] | sta[5] + t4 = sta[23] ^ t4 + + sta[4] = t0 + sta[5] = t1 + sta[11] = t2 + sta[17] = t3 + sta[23] = t4 + + tp = ^sta[8] + t0 = tp & sta[14] + t0 = sta[2] ^ t0 + t1 = sta[14] | sta[15] + t1 = tp ^ t1 + t2 = sta[15] & sta[21] + t2 = sta[14] ^ t2 + t3 = sta[21] | sta[2] + t3 = sta[15] ^ t3 + t4 = sta[2] & sta[8] + t4 = sta[21] ^ t4 + + sta[2] = t0 + sta[8] = t1 + sta[14] = t2 + sta[15] = t3 + sta[21] = t4 + + sta[0] = sta[0] ^ kSpec[j+0] + + t0 = sta[5] + sta[5] = sta[3] + sta[3] = sta[18] + sta[18] = sta[17] + sta[17] = sta[11] + sta[11] = sta[7] + sta[7] = sta[10] + sta[10] = sta[1] + sta[1] = sta[6] + sta[6] = sta[9] + sta[9] = sta[22] + sta[22] = sta[14] + sta[14] = sta[20] + sta[20] = sta[2] + sta[2] = sta[12] + sta[12] = sta[13] + sta[13] = sta[19] + sta[19] = sta[23] + sta[23] = sta[15] + sta[15] = sta[4] + sta[4] = sta[24] + sta[24] = sta[21] + sta[21] = sta[8] + sta[8] = sta[16] + sta[16] = t0 + } + + ptr = 0 + } + } + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Keccak Close: dst min length: %d, got %d", HashSize, ln) + } + + var tln uintptr + var tmp [73]uint8 + + off := uint8((uint16(0x100) | uint16(bits&0xFF)) >> (8 - bcnt)) + + if ref.ptr == (72 - 1) { + if bcnt == 7 { + tmp[0] = off + tmp[72] = 0x80 + tln = 1 + 72 + } else { + tmp[0] = uint8(off | 0x80) + tln = 1 + } + } else { + tln = 72 - ref.ptr + tmp[0] = off + tmp[tln-1] = 0x80 + } + ref.Write(tmp[:tln]) + + ref.h[1] = ^ref.h[1] + ref.h[2] = ^ref.h[2] + ref.h[8] = ^ref.h[8] + ref.h[12] = ^ref.h[12] + ref.h[17] = ^ref.h[17] + ref.h[20] = ^ref.h[20] + + for u := uintptr(0); u < 64; u += 8 { + encUInt64le(dst[u:], ref.h[(u>>3)]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func decUInt64le(src []byte) uint64 { + return (uint64(src[0]) | + uint64(src[1])<<8 | + uint64(src[2])<<16 | + uint64(src[3])<<24 | + uint64(src[4])<<32 | + uint64(src[5])<<40 | + uint64(src[6])<<48 | + uint64(src[7])<<56) +} + +func encUInt64le(dst []byte, src uint64) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) + dst[4] = uint8(src >> 32) + dst[5] = uint8(src >> 40) + dst[6] = uint8(src >> 48) + dst[7] = uint8(src >> 56) +} + +var kSpec = []uint64{ + uint64(0x0000000000000001), uint64(0x0000000000008082), + uint64(0x800000000000808A), uint64(0x8000000080008000), + uint64(0x000000000000808B), uint64(0x0000000080000001), + uint64(0x8000000080008081), uint64(0x8000000000008009), + uint64(0x000000000000008A), uint64(0x0000000000000088), + uint64(0x0000000080008009), uint64(0x000000008000000A), + uint64(0x000000008000808B), uint64(0x800000000000008B), + uint64(0x8000000000008089), uint64(0x8000000000008003), + uint64(0x8000000000008002), uint64(0x8000000000000080), + uint64(0x000000000000800A), uint64(0x800000008000000A), + uint64(0x8000000080008081), uint64(0x8000000000008080), + uint64(0x0000000080000001), uint64(0x8000000080008008), +} diff --git a/crypto/x16rv3/keccak/keccak_test.go b/crypto/x16rv3/keccak/keccak_test.go new file mode 100644 index 0000000..a1f5f6b --- /dev/null +++ b/crypto/x16rv3/keccak/keccak_test.go @@ -0,0 +1,2161 @@ +package keccak + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{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} diff --git a/crypto/x16rv3/luffa/luffa.go b/crypto/x16rv3/luffa/luffa.go new file mode 100644 index 0000000..ff869c2 --- /dev/null +++ b/crypto/x16rv3/luffa/luffa.go @@ -0,0 +1,1826 @@ +package luffa + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(32) + +type digest struct { + ptr uintptr + + h [5][8]uint32 + + b [32]byte +} + +// New returns a new digest compute a LUFFA512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + for x := range kInit { + for y := range kInit[x] { + ref.h[x][y] = kInit[x][y] + } + } +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + buf := ref.b[:] + ptr := ref.ptr + + if sln < (BlockSize - ptr) { + copy(ref.b[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + var V00, V01, V02, V03, V04, V05, V06, V07 uint32 + var V10, V11, V12, V13, V14, V15, V16, V17 uint32 + var V20, V21, V22, V23, V24, V25, V26, V27 uint32 + var V30, V31, V32, V33, V34, V35, V36, V37 uint32 + var V40, V41, V42, V43, V44, V45, V46, V47 uint32 + + V00 = ref.h[0][0] + V01 = ref.h[0][1] + V02 = ref.h[0][2] + V03 = ref.h[0][3] + V04 = ref.h[0][4] + V05 = ref.h[0][5] + V06 = ref.h[0][6] + V07 = ref.h[0][7] + V10 = ref.h[1][0] + V11 = ref.h[1][1] + V12 = ref.h[1][2] + V13 = ref.h[1][3] + V14 = ref.h[1][4] + V15 = ref.h[1][5] + V16 = ref.h[1][6] + V17 = ref.h[1][7] + V20 = ref.h[2][0] + V21 = ref.h[2][1] + V22 = ref.h[2][2] + V23 = ref.h[2][3] + V24 = ref.h[2][4] + V25 = ref.h[2][5] + V26 = ref.h[2][6] + V27 = ref.h[2][7] + V30 = ref.h[3][0] + V31 = ref.h[3][1] + V32 = ref.h[3][2] + V33 = ref.h[3][3] + V34 = ref.h[3][4] + V35 = ref.h[3][5] + V36 = ref.h[3][6] + V37 = ref.h[3][7] + V40 = ref.h[4][0] + V41 = ref.h[4][1] + V42 = ref.h[4][2] + V43 = ref.h[4][3] + V44 = ref.h[4][4] + V45 = ref.h[4][5] + V46 = ref.h[4][6] + V47 = ref.h[4][7] + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + { + var ts uint32 + var M0, M1, M2, M3, M4, M5, M6, M7 uint32 + var a0, a1, a2, a3, a4, a5, a6, a7 uint32 + var b0, b1, b2, b3, b4, b5, b6, b7 uint32 + + M0 = decUInt32be(buf[0:]) + M1 = decUInt32be(buf[4:]) + M2 = decUInt32be(buf[8:]) + M3 = decUInt32be(buf[12:]) + M4 = decUInt32be(buf[16:]) + M5 = decUInt32be(buf[20:]) + M6 = decUInt32be(buf[24:]) + M7 = decUInt32be(buf[28:]) + + a0 = V00 ^ V10 + a1 = V01 ^ V11 + a2 = V02 ^ V12 + a3 = V03 ^ V13 + a4 = V04 ^ V14 + a5 = V05 ^ V15 + a6 = V06 ^ V16 + a7 = V07 ^ V17 + + b0 = V20 ^ V30 + b1 = V21 ^ V31 + b2 = V22 ^ V32 + b3 = V23 ^ V33 + b4 = V24 ^ V34 + b5 = V25 ^ V35 + b6 = V26 ^ V36 + b7 = V27 ^ V37 + + a0 ^= b0 + a1 ^= b1 + a2 ^= b2 + a3 ^= b3 + a4 ^= b4 + a5 ^= b5 + a6 ^= b6 + a7 ^= b7 + + a0 ^= V40 + a1 ^= V41 + a2 ^= V42 + a3 ^= V43 + a4 ^= V44 + a5 ^= V45 + a6 ^= V46 + a7 ^= V47 + + ts = a7 + a7 = a6 + a6 = a5 + a5 = a4 + a4 = a3 ^ ts + a3 = a2 ^ ts + a2 = a1 + a1 = a0 ^ ts + a0 = ts + + V00 ^= a0 + V01 ^= a1 + V02 ^= a2 + V03 ^= a3 + V04 ^= a4 + V05 ^= a5 + V06 ^= a6 + V07 ^= a7 + + V10 ^= a0 + V11 ^= a1 + V12 ^= a2 + V13 ^= a3 + V14 ^= a4 + V15 ^= a5 + V16 ^= a6 + V17 ^= a7 + + V20 ^= a0 + V21 ^= a1 + V22 ^= a2 + V23 ^= a3 + V24 ^= a4 + V25 ^= a5 + V26 ^= a6 + V27 ^= a7 + + V30 ^= a0 + V31 ^= a1 + V32 ^= a2 + V33 ^= a3 + V34 ^= a4 + V35 ^= a5 + V36 ^= a6 + V37 ^= a7 + + V40 ^= a0 + V41 ^= a1 + V42 ^= a2 + V43 ^= a3 + V44 ^= a4 + V45 ^= a5 + V46 ^= a6 + V47 ^= a7 + + ts = V07 + b7 = V06 + b6 = V05 + b5 = V04 + b4 = V03 ^ ts + b3 = V02 ^ ts + b2 = V01 + b1 = V00 ^ ts + b0 = ts + + b0 ^= V10 + b1 ^= V11 + b2 ^= V12 + b3 ^= V13 + b4 ^= V14 + b5 ^= V15 + b6 ^= V16 + b7 ^= V17 + + ts = V17 + V17 = V16 + V16 = V15 + V15 = V14 + V14 = V13 ^ ts + V13 = V12 ^ ts + V12 = V11 + V11 = V10 ^ ts + V10 = ts + + V10 ^= V20 + V11 ^= V21 + V12 ^= V22 + V13 ^= V23 + V14 ^= V24 + V15 ^= V25 + V16 ^= V26 + V17 ^= V27 + + ts = V27 + V27 = V26 + V26 = V25 + V25 = V24 + V24 = V23 ^ ts + V23 = V22 ^ ts + V22 = V21 + V21 = V20 ^ ts + V20 = ts + + V20 ^= V30 + V21 ^= V31 + V22 ^= V32 + V23 ^= V33 + V24 ^= V34 + V25 ^= V35 + V26 ^= V36 + V27 ^= V37 + + ts = V37 + V37 = V36 + V36 = V35 + V35 = V34 + V34 = V33 ^ ts + V33 = V32 ^ ts + V32 = V31 + V31 = V30 ^ ts + V30 = ts + + V30 ^= V40 + V31 ^= V41 + V32 ^= V42 + V33 ^= V43 + V34 ^= V44 + V35 ^= V45 + V36 ^= V46 + V37 ^= V47 + + ts = V47 + V47 = V46 + V46 = V45 + V45 = V44 + V44 = V43 ^ ts + V43 = V42 ^ ts + V42 = V41 + V41 = V40 ^ ts + V40 = ts + + V40 ^= V00 + V41 ^= V01 + V42 ^= V02 + V43 ^= V03 + V44 ^= V04 + V45 ^= V05 + V46 ^= V06 + V47 ^= V07 + + ts = b7 + V07 = b6 + V06 = b5 + V05 = b4 + V04 = b3 ^ ts + V03 = b2 ^ ts + V02 = b1 + V01 = b0 ^ ts + V00 = ts + + V00 ^= V40 + V01 ^= V41 + V02 ^= V42 + V03 ^= V43 + V04 ^= V44 + V05 ^= V45 + V06 ^= V46 + V07 ^= V47 + + ts = V47 + V47 = V46 + V46 = V45 + V45 = V44 + V44 = V43 ^ ts + V43 = V42 ^ ts + V42 = V41 + V41 = V40 ^ ts + V40 = ts + + V40 ^= V30 + V41 ^= V31 + V42 ^= V32 + V43 ^= V33 + V44 ^= V34 + V45 ^= V35 + V46 ^= V36 + V47 ^= V37 + + ts = V37 + V37 = V36 + V36 = V35 + V35 = V34 + V34 = V33 ^ ts + V33 = V32 ^ ts + V32 = V31 + V31 = V30 ^ ts + V30 = ts + + V30 ^= V20 + V31 ^= V21 + V32 ^= V22 + V33 ^= V23 + V34 ^= V24 + V35 ^= V25 + V36 ^= V26 + V37 ^= V27 + + ts = V27 + V27 = V26 + V26 = V25 + V25 = V24 + V24 = V23 ^ ts + V23 = V22 ^ ts + V22 = V21 + V21 = V20 ^ ts + V20 = ts + + V20 ^= V10 + V21 ^= V11 + V22 ^= V12 + V23 ^= V13 + V24 ^= V14 + V25 ^= V15 + V26 ^= V16 + V27 ^= V17 + + ts = V17 + V17 = V16 + V16 = V15 + V15 = V14 + V14 = V13 ^ ts + V13 = V12 ^ ts + V12 = V11 + V11 = V10 ^ ts + V10 = ts + + V10 ^= b0 + V11 ^= b1 + V12 ^= b2 + V13 ^= b3 + V14 ^= b4 + V15 ^= b5 + V16 ^= b6 + V17 ^= b7 + + V00 ^= M0 + V01 ^= M1 + V02 ^= M2 + V03 ^= M3 + V04 ^= M4 + V05 ^= M5 + V06 ^= M6 + V07 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V10 ^= M0 + V11 ^= M1 + V12 ^= M2 + V13 ^= M3 + V14 ^= M4 + V15 ^= M5 + V16 ^= M6 + V17 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V20 ^= M0 + V21 ^= M1 + V22 ^= M2 + V23 ^= M3 + V24 ^= M4 + V25 ^= M5 + V26 ^= M6 + V27 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V30 ^= M0 + V31 ^= M1 + V32 ^= M2 + V33 ^= M3 + V34 ^= M4 + V35 ^= M5 + V36 ^= M6 + V37 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V40 ^= M0 + V41 ^= M1 + V42 ^= M2 + V43 ^= M3 + V44 ^= M4 + V45 ^= M5 + V46 ^= M6 + V47 ^= M7 + } + + { + var ul, uh, vl, vh, tws uint32 + var W0, W1, W2, W3, W4, W5, W6, W7, tw uint64 + + V14 = ((V14 << 1) | (V14 >> (32 - 1))) + V15 = ((V15 << 1) | (V15 >> (32 - 1))) + V16 = ((V16 << 1) | (V16 >> (32 - 1))) + V17 = ((V17 << 1) | (V17 >> (32 - 1))) + V24 = ((V24 << 2) | (V24 >> (32 - 2))) + V25 = ((V25 << 2) | (V25 >> (32 - 2))) + V26 = ((V26 << 2) | (V26 >> (32 - 2))) + V27 = ((V27 << 2) | (V27 >> (32 - 2))) + V34 = ((V34 << 3) | (V34 >> (32 - 3))) + V35 = ((V35 << 3) | (V35 >> (32 - 3))) + V36 = ((V36 << 3) | (V36 >> (32 - 3))) + V37 = ((V37 << 3) | (V37 >> (32 - 3))) + V44 = ((V44 << 4) | (V44 >> (32 - 4))) + V45 = ((V45 << 4) | (V45 >> (32 - 4))) + V46 = ((V46 << 4) | (V46 >> (32 - 4))) + V47 = ((V47 << 4) | (V47 >> (32 - 4))) + + W0 = uint64(V00) | (uint64(V10) << 32) + W1 = uint64(V01) | (uint64(V11) << 32) + W2 = uint64(V02) | (uint64(V12) << 32) + W3 = uint64(V03) | (uint64(V13) << 32) + W4 = uint64(V04) | (uint64(V14) << 32) + W5 = uint64(V05) | (uint64(V15) << 32) + W6 = uint64(V06) | (uint64(V16) << 32) + W7 = uint64(V07) | (uint64(V17) << 32) + + for r := uintptr(0); r < 8; r++ { + tw = W0 + W0 |= W1 + W2 ^= W3 + W1 = ^W1 + W0 ^= W3 + W3 &= tw + W1 ^= W3 + W3 ^= W2 + W2 &= W0 + W0 = ^W0 + W2 ^= W1 + W1 |= W3 + tw ^= W1 + W3 ^= W2 + W2 &= W1 + W1 ^= W0 + W0 = tw + + tw = W5 + W5 |= W6 + W7 ^= W4 + W6 = ^W6 + W5 ^= W4 + W4 &= tw + W6 ^= W4 + W4 ^= W7 + W7 &= W5 + W5 = ^W5 + W7 ^= W6 + W6 |= W4 + tw ^= W6 + W4 ^= W7 + W7 &= W6 + W6 ^= W5 + W5 = tw + + W4 ^= W0 + ul = uint32(W0) + uh = uint32((W0 >> 32)) + vl = uint32(W4) + vh = uint32((W4 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W0 = uint64(ul) | (uint64(uh) << 32) + W4 = uint64(vl) | (uint64(vh) << 32) + + W5 ^= W1 + ul = uint32(W1) + uh = uint32((W1 >> 32)) + vl = uint32(W5) + vh = uint32((W5 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W1 = uint64(ul) | (uint64(uh) << 32) + W5 = uint64(vl) | (uint64(vh) << 32) + + W6 ^= W2 + ul = uint32(W2) + uh = uint32((W2 >> 32)) + vl = uint32(W6) + vh = uint32((W6 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W2 = uint64(ul) | (uint64(uh) << 32) + W6 = uint64(vl) | (uint64(vh) << 32) + + W7 ^= W3 + ul = uint32(W3) + uh = uint32((W3 >> 32)) + vl = uint32(W7) + vh = uint32((W7 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W3 = uint64(ul) | (uint64(uh) << 32) + W7 = uint64(vl) | (uint64(vh) << 32) + + W0 ^= kRCW010[r] + W4 ^= kRCW014[r] + } + + V00 = uint32(W0) + V10 = uint32((W0 >> 32)) + V01 = uint32(W1) + V11 = uint32((W1 >> 32)) + V02 = uint32(W2) + V12 = uint32((W2 >> 32)) + V03 = uint32(W3) + V13 = uint32((W3 >> 32)) + V04 = uint32(W4) + V14 = uint32((W4 >> 32)) + V05 = uint32(W5) + V15 = uint32((W5 >> 32)) + V06 = uint32(W6) + V16 = uint32((W6 >> 32)) + V07 = uint32(W7) + V17 = uint32((W7 >> 32)) + + W0 = uint64(V20) | (uint64(V30) << 32) + W1 = uint64(V21) | (uint64(V31) << 32) + W2 = uint64(V22) | (uint64(V32) << 32) + W3 = uint64(V23) | (uint64(V33) << 32) + W4 = uint64(V24) | (uint64(V34) << 32) + W5 = uint64(V25) | (uint64(V35) << 32) + W6 = uint64(V26) | (uint64(V36) << 32) + W7 = uint64(V27) | (uint64(V37) << 32) + + for r := uintptr(0); r < 8; r++ { + tw = W0 + W0 |= W1 + W2 ^= W3 + W1 = ^W1 + W0 ^= W3 + W3 &= tw + W1 ^= W3 + W3 ^= W2 + W2 &= W0 + W0 = ^W0 + W2 ^= W1 + W1 |= W3 + tw ^= W1 + W3 ^= W2 + W2 &= W1 + W1 ^= W0 + W0 = tw + + tw = W5 + W5 |= W6 + W7 ^= W4 + W6 = ^W6 + W5 ^= W4 + W4 &= tw + W6 ^= W4 + W4 ^= W7 + W7 &= W5 + W5 = ^W5 + W7 ^= W6 + W6 |= W4 + tw ^= W6 + W4 ^= W7 + W7 &= W6 + W6 ^= W5 + W5 = tw + + W4 ^= W0 + ul = uint32(W0) + uh = uint32((W0 >> 32)) + vl = uint32(W4) + vh = uint32((W4 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W0 = uint64(ul) | (uint64(uh) << 32) + W4 = uint64(vl) | (uint64(vh) << 32) + + W5 ^= W1 + ul = uint32(W1) + uh = uint32((W1 >> 32)) + vl = uint32(W5) + vh = uint32((W5 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W1 = uint64(ul) | (uint64(uh) << 32) + W5 = uint64(vl) | (uint64(vh) << 32) + + W6 ^= W2 + ul = uint32(W2) + uh = uint32((W2 >> 32)) + vl = uint32(W6) + vh = uint32((W6 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W2 = uint64(ul) | (uint64(uh) << 32) + W6 = uint64(vl) | (uint64(vh) << 32) + + W7 ^= W3 + ul = uint32(W3) + uh = uint32((W3 >> 32)) + vl = uint32(W7) + vh = uint32((W7 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W3 = uint64(ul) | (uint64(uh) << 32) + W7 = uint64(vl) | (uint64(vh) << 32) + + W0 ^= kRCW230[r] + W4 ^= kRCW234[r] + } + + V20 = uint32(W0) + V30 = uint32((W0 >> 32)) + V21 = uint32(W1) + V31 = uint32((W1 >> 32)) + V22 = uint32(W2) + V32 = uint32((W2 >> 32)) + V23 = uint32(W3) + V33 = uint32((W3 >> 32)) + V24 = uint32(W4) + V34 = uint32((W4 >> 32)) + V25 = uint32(W5) + V35 = uint32((W5 >> 32)) + V26 = uint32(W6) + V36 = uint32((W6 >> 32)) + V27 = uint32(W7) + V37 = uint32((W7 >> 32)) + + for r := uintptr(0); r < 8; r++ { + tws = V40 + V40 |= V41 + V42 ^= V43 + V41 = ^V41 + V40 ^= V43 + V43 &= tws + V41 ^= V43 + V43 ^= V42 + V42 &= V40 + V40 = ^V40 + V42 ^= V41 + V41 |= V43 + tws ^= V41 + V43 ^= V42 + V42 &= V41 + V41 ^= V40 + V40 = tws + + tws = V45 + V45 |= V46 + V47 ^= V44 + V46 = ^V46 + V45 ^= V44 + V44 &= tws + V46 ^= V44 + V44 ^= V47 + V47 &= V45 + V45 = ^V45 + V47 ^= V46 + V46 |= V44 + tws ^= V46 + V44 ^= V47 + V47 &= V46 + V46 ^= V45 + V45 = tws + + V44 ^= V40 + V40 = ((V40 << 2) | (V40 >> (32 - 2))) ^ V44 + V44 = ((V44 << 14) | (V44 >> (32 - 14))) ^ V40 + V40 = ((V40 << 10) | (V40 >> (32 - 10))) ^ V44 + V44 = ((V44 << 1) | (V44 >> (32 - 1))) + + V45 ^= V41 + V41 = ((V41 << 2) | (V41 >> (32 - 2))) ^ V45 + V45 = ((V45 << 14) | (V45 >> (32 - 14))) ^ V41 + V41 = ((V41 << 10) | (V41 >> (32 - 10))) ^ V45 + V45 = ((V45 << 1) | (V45 >> (32 - 1))) + + V46 ^= V42 + V42 = ((V42 << 2) | (V42 >> (32 - 2))) ^ V46 + V46 = ((V46 << 14) | (V46 >> (32 - 14))) ^ V42 + V42 = ((V42 << 10) | (V42 >> (32 - 10))) ^ V46 + V46 = ((V46 << 1) | (V46 >> (32 - 1))) + + V47 ^= V43 + V43 = ((V43 << 2) | (V43 >> (32 - 2))) ^ V47 + V47 = ((V47 << 14) | (V47 >> (32 - 14))) ^ V43 + V43 = ((V43 << 10) | (V43 >> (32 - 10))) ^ V47 + V47 = ((V47 << 1) | (V47 >> (32 - 1))) + + V40 ^= kRC40[r] + V44 ^= kRC44[r] + } + } + + ptr = 0 + } + } + + ref.h[0][0] = V00 + ref.h[0][1] = V01 + ref.h[0][2] = V02 + ref.h[0][3] = V03 + ref.h[0][4] = V04 + ref.h[0][5] = V05 + ref.h[0][6] = V06 + ref.h[0][7] = V07 + ref.h[1][0] = V10 + ref.h[1][1] = V11 + ref.h[1][2] = V12 + ref.h[1][3] = V13 + ref.h[1][4] = V14 + ref.h[1][5] = V15 + ref.h[1][6] = V16 + ref.h[1][7] = V17 + ref.h[2][0] = V20 + ref.h[2][1] = V21 + ref.h[2][2] = V22 + ref.h[2][3] = V23 + ref.h[2][4] = V24 + ref.h[2][5] = V25 + ref.h[2][6] = V26 + ref.h[2][7] = V27 + ref.h[3][0] = V30 + ref.h[3][1] = V31 + ref.h[3][2] = V32 + ref.h[3][3] = V33 + ref.h[3][4] = V34 + ref.h[3][5] = V35 + ref.h[3][6] = V36 + ref.h[3][7] = V37 + ref.h[4][0] = V40 + ref.h[4][1] = V41 + ref.h[4][2] = V42 + ref.h[4][3] = V43 + ref.h[4][4] = V44 + ref.h[4][5] = V45 + ref.h[4][6] = V46 + ref.h[4][7] = V47 + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Luffa Close: dst min length: %d, got %d", HashSize, ln) + } + + buf := ref.b[:] + ptr := ref.ptr + 1 + + { + off := uint8(0x80) >> bcnt + buf[ref.ptr] = uint8((bits & -off) | off) + } + + memset(buf[ptr:], 0) + + var V00, V01, V02, V03, V04, V05, V06, V07 uint32 + var V10, V11, V12, V13, V14, V15, V16, V17 uint32 + var V20, V21, V22, V23, V24, V25, V26, V27 uint32 + var V30, V31, V32, V33, V34, V35, V36, V37 uint32 + var V40, V41, V42, V43, V44, V45, V46, V47 uint32 + + V00 = ref.h[0][0] + V01 = ref.h[0][1] + V02 = ref.h[0][2] + V03 = ref.h[0][3] + V04 = ref.h[0][4] + V05 = ref.h[0][5] + V06 = ref.h[0][6] + V07 = ref.h[0][7] + V10 = ref.h[1][0] + V11 = ref.h[1][1] + V12 = ref.h[1][2] + V13 = ref.h[1][3] + V14 = ref.h[1][4] + V15 = ref.h[1][5] + V16 = ref.h[1][6] + V17 = ref.h[1][7] + V20 = ref.h[2][0] + V21 = ref.h[2][1] + V22 = ref.h[2][2] + V23 = ref.h[2][3] + V24 = ref.h[2][4] + V25 = ref.h[2][5] + V26 = ref.h[2][6] + V27 = ref.h[2][7] + V30 = ref.h[3][0] + V31 = ref.h[3][1] + V32 = ref.h[3][2] + V33 = ref.h[3][3] + V34 = ref.h[3][4] + V35 = ref.h[3][5] + V36 = ref.h[3][6] + V37 = ref.h[3][7] + V40 = ref.h[4][0] + V41 = ref.h[4][1] + V42 = ref.h[4][2] + V43 = ref.h[4][3] + V44 = ref.h[4][4] + V45 = ref.h[4][5] + V46 = ref.h[4][6] + V47 = ref.h[4][7] + + for i := uintptr(0); i < 3; i++ { + { + var ts uint32 + var M0, M1, M2, M3, M4, M5, M6, M7 uint32 + var a0, a1, a2, a3, a4, a5, a6, a7 uint32 + var b0, b1, b2, b3, b4, b5, b6, b7 uint32 + + M0 = decUInt32be(buf[0:]) + M1 = decUInt32be(buf[4:]) + M2 = decUInt32be(buf[8:]) + M3 = decUInt32be(buf[12:]) + M4 = decUInt32be(buf[16:]) + M5 = decUInt32be(buf[20:]) + M6 = decUInt32be(buf[24:]) + M7 = decUInt32be(buf[28:]) + + a0 = V00 ^ V10 + a1 = V01 ^ V11 + a2 = V02 ^ V12 + a3 = V03 ^ V13 + a4 = V04 ^ V14 + a5 = V05 ^ V15 + a6 = V06 ^ V16 + a7 = V07 ^ V17 + + b0 = V20 ^ V30 + b1 = V21 ^ V31 + b2 = V22 ^ V32 + b3 = V23 ^ V33 + b4 = V24 ^ V34 + b5 = V25 ^ V35 + b6 = V26 ^ V36 + b7 = V27 ^ V37 + + a0 ^= b0 + a1 ^= b1 + a2 ^= b2 + a3 ^= b3 + a4 ^= b4 + a5 ^= b5 + a6 ^= b6 + a7 ^= b7 + + a0 ^= V40 + a1 ^= V41 + a2 ^= V42 + a3 ^= V43 + a4 ^= V44 + a5 ^= V45 + a6 ^= V46 + a7 ^= V47 + + ts = a7 + a7 = a6 + a6 = a5 + a5 = a4 + a4 = a3 ^ ts + a3 = a2 ^ ts + a2 = a1 + a1 = a0 ^ ts + a0 = ts + + V00 ^= a0 + V01 ^= a1 + V02 ^= a2 + V03 ^= a3 + V04 ^= a4 + V05 ^= a5 + V06 ^= a6 + V07 ^= a7 + + V10 ^= a0 + V11 ^= a1 + V12 ^= a2 + V13 ^= a3 + V14 ^= a4 + V15 ^= a5 + V16 ^= a6 + V17 ^= a7 + + V20 ^= a0 + V21 ^= a1 + V22 ^= a2 + V23 ^= a3 + V24 ^= a4 + V25 ^= a5 + V26 ^= a6 + V27 ^= a7 + + V30 ^= a0 + V31 ^= a1 + V32 ^= a2 + V33 ^= a3 + V34 ^= a4 + V35 ^= a5 + V36 ^= a6 + V37 ^= a7 + + V40 ^= a0 + V41 ^= a1 + V42 ^= a2 + V43 ^= a3 + V44 ^= a4 + V45 ^= a5 + V46 ^= a6 + V47 ^= a7 + + ts = V07 + b7 = V06 + b6 = V05 + b5 = V04 + b4 = V03 ^ ts + b3 = V02 ^ ts + b2 = V01 + b1 = V00 ^ ts + b0 = ts + + b0 ^= V10 + b1 ^= V11 + b2 ^= V12 + b3 ^= V13 + b4 ^= V14 + b5 ^= V15 + b6 ^= V16 + b7 ^= V17 + + ts = V17 + V17 = V16 + V16 = V15 + V15 = V14 + V14 = V13 ^ ts + V13 = V12 ^ ts + V12 = V11 + V11 = V10 ^ ts + V10 = ts + + V10 ^= V20 + V11 ^= V21 + V12 ^= V22 + V13 ^= V23 + V14 ^= V24 + V15 ^= V25 + V16 ^= V26 + V17 ^= V27 + + ts = V27 + V27 = V26 + V26 = V25 + V25 = V24 + V24 = V23 ^ ts + V23 = V22 ^ ts + V22 = V21 + V21 = V20 ^ ts + V20 = ts + + V20 ^= V30 + V21 ^= V31 + V22 ^= V32 + V23 ^= V33 + V24 ^= V34 + V25 ^= V35 + V26 ^= V36 + V27 ^= V37 + + ts = V37 + V37 = V36 + V36 = V35 + V35 = V34 + V34 = V33 ^ ts + V33 = V32 ^ ts + V32 = V31 + V31 = V30 ^ ts + V30 = ts + + V30 ^= V40 + V31 ^= V41 + V32 ^= V42 + V33 ^= V43 + V34 ^= V44 + V35 ^= V45 + V36 ^= V46 + V37 ^= V47 + + ts = V47 + V47 = V46 + V46 = V45 + V45 = V44 + V44 = V43 ^ ts + V43 = V42 ^ ts + V42 = V41 + V41 = V40 ^ ts + V40 = ts + + V40 ^= V00 + V41 ^= V01 + V42 ^= V02 + V43 ^= V03 + V44 ^= V04 + V45 ^= V05 + V46 ^= V06 + V47 ^= V07 + + ts = b7 + V07 = b6 + V06 = b5 + V05 = b4 + V04 = b3 ^ ts + V03 = b2 ^ ts + V02 = b1 + V01 = b0 ^ ts + V00 = ts + + V00 ^= V40 + V01 ^= V41 + V02 ^= V42 + V03 ^= V43 + V04 ^= V44 + V05 ^= V45 + V06 ^= V46 + V07 ^= V47 + + ts = V47 + V47 = V46 + V46 = V45 + V45 = V44 + V44 = V43 ^ ts + V43 = V42 ^ ts + V42 = V41 + V41 = V40 ^ ts + V40 = ts + + V40 ^= V30 + V41 ^= V31 + V42 ^= V32 + V43 ^= V33 + V44 ^= V34 + V45 ^= V35 + V46 ^= V36 + V47 ^= V37 + + ts = V37 + V37 = V36 + V36 = V35 + V35 = V34 + V34 = V33 ^ ts + V33 = V32 ^ ts + V32 = V31 + V31 = V30 ^ ts + V30 = ts + + V30 ^= V20 + V31 ^= V21 + V32 ^= V22 + V33 ^= V23 + V34 ^= V24 + V35 ^= V25 + V36 ^= V26 + V37 ^= V27 + + ts = V27 + V27 = V26 + V26 = V25 + V25 = V24 + V24 = V23 ^ ts + V23 = V22 ^ ts + V22 = V21 + V21 = V20 ^ ts + V20 = ts + + V20 ^= V10 + V21 ^= V11 + V22 ^= V12 + V23 ^= V13 + V24 ^= V14 + V25 ^= V15 + V26 ^= V16 + V27 ^= V17 + + ts = V17 + V17 = V16 + V16 = V15 + V15 = V14 + V14 = V13 ^ ts + V13 = V12 ^ ts + V12 = V11 + V11 = V10 ^ ts + V10 = ts + + V10 ^= b0 + V11 ^= b1 + V12 ^= b2 + V13 ^= b3 + V14 ^= b4 + V15 ^= b5 + V16 ^= b6 + V17 ^= b7 + + V00 ^= M0 + V01 ^= M1 + V02 ^= M2 + V03 ^= M3 + V04 ^= M4 + V05 ^= M5 + V06 ^= M6 + V07 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V10 ^= M0 + V11 ^= M1 + V12 ^= M2 + V13 ^= M3 + V14 ^= M4 + V15 ^= M5 + V16 ^= M6 + V17 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V20 ^= M0 + V21 ^= M1 + V22 ^= M2 + V23 ^= M3 + V24 ^= M4 + V25 ^= M5 + V26 ^= M6 + V27 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V30 ^= M0 + V31 ^= M1 + V32 ^= M2 + V33 ^= M3 + V34 ^= M4 + V35 ^= M5 + V36 ^= M6 + V37 ^= M7 + + ts = M7 + M7 = M6 + M6 = M5 + M5 = M4 + M4 = M3 ^ ts + M3 = M2 ^ ts + M2 = M1 + M1 = M0 ^ ts + M0 = ts + + V40 ^= M0 + V41 ^= M1 + V42 ^= M2 + V43 ^= M3 + V44 ^= M4 + V45 ^= M5 + V46 ^= M6 + V47 ^= M7 + } + + { + var ul, uh, vl, vh, tws uint32 + var W0, W1, W2, W3, W4, W5, W6, W7, tw uint64 + + V14 = ((V14 << 1) | (V14 >> (32 - 1))) + V15 = ((V15 << 1) | (V15 >> (32 - 1))) + V16 = ((V16 << 1) | (V16 >> (32 - 1))) + V17 = ((V17 << 1) | (V17 >> (32 - 1))) + V24 = ((V24 << 2) | (V24 >> (32 - 2))) + V25 = ((V25 << 2) | (V25 >> (32 - 2))) + V26 = ((V26 << 2) | (V26 >> (32 - 2))) + V27 = ((V27 << 2) | (V27 >> (32 - 2))) + V34 = ((V34 << 3) | (V34 >> (32 - 3))) + V35 = ((V35 << 3) | (V35 >> (32 - 3))) + V36 = ((V36 << 3) | (V36 >> (32 - 3))) + V37 = ((V37 << 3) | (V37 >> (32 - 3))) + V44 = ((V44 << 4) | (V44 >> (32 - 4))) + V45 = ((V45 << 4) | (V45 >> (32 - 4))) + V46 = ((V46 << 4) | (V46 >> (32 - 4))) + V47 = ((V47 << 4) | (V47 >> (32 - 4))) + + W0 = uint64(V00) | (uint64(V10) << 32) + W1 = uint64(V01) | (uint64(V11) << 32) + W2 = uint64(V02) | (uint64(V12) << 32) + W3 = uint64(V03) | (uint64(V13) << 32) + W4 = uint64(V04) | (uint64(V14) << 32) + W5 = uint64(V05) | (uint64(V15) << 32) + W6 = uint64(V06) | (uint64(V16) << 32) + W7 = uint64(V07) | (uint64(V17) << 32) + + for r := uintptr(0); r < 8; r++ { + tw = W0 + W0 |= W1 + W2 ^= W3 + W1 = ^W1 + W0 ^= W3 + W3 &= tw + W1 ^= W3 + W3 ^= W2 + W2 &= W0 + W0 = ^W0 + W2 ^= W1 + W1 |= W3 + tw ^= W1 + W3 ^= W2 + W2 &= W1 + W1 ^= W0 + W0 = tw + + tw = W5 + W5 |= W6 + W7 ^= W4 + W6 = ^W6 + W5 ^= W4 + W4 &= tw + W6 ^= W4 + W4 ^= W7 + W7 &= W5 + W5 = ^W5 + W7 ^= W6 + W6 |= W4 + tw ^= W6 + W4 ^= W7 + W7 &= W6 + W6 ^= W5 + W5 = tw + + W4 ^= W0 + ul = uint32(W0) + uh = uint32((W0 >> 32)) + vl = uint32(W4) + vh = uint32((W4 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W0 = uint64(ul) | (uint64(uh) << 32) + W4 = uint64(vl) | (uint64(vh) << 32) + + W5 ^= W1 + ul = uint32(W1) + uh = uint32((W1 >> 32)) + vl = uint32(W5) + vh = uint32((W5 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W1 = uint64(ul) | (uint64(uh) << 32) + W5 = uint64(vl) | (uint64(vh) << 32) + + W6 ^= W2 + ul = uint32(W2) + uh = uint32((W2 >> 32)) + vl = uint32(W6) + vh = uint32((W6 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W2 = uint64(ul) | (uint64(uh) << 32) + W6 = uint64(vl) | (uint64(vh) << 32) + + W7 ^= W3 + ul = uint32(W3) + uh = uint32((W3 >> 32)) + vl = uint32(W7) + vh = uint32((W7 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W3 = uint64(ul) | (uint64(uh) << 32) + W7 = uint64(vl) | (uint64(vh) << 32) + + W0 ^= kRCW010[r] + W4 ^= kRCW014[r] + } + + V00 = uint32(W0) + V10 = uint32((W0 >> 32)) + V01 = uint32(W1) + V11 = uint32((W1 >> 32)) + V02 = uint32(W2) + V12 = uint32((W2 >> 32)) + V03 = uint32(W3) + V13 = uint32((W3 >> 32)) + V04 = uint32(W4) + V14 = uint32((W4 >> 32)) + V05 = uint32(W5) + V15 = uint32((W5 >> 32)) + V06 = uint32(W6) + V16 = uint32((W6 >> 32)) + V07 = uint32(W7) + V17 = uint32((W7 >> 32)) + + W0 = uint64(V20) | (uint64(V30) << 32) + W1 = uint64(V21) | (uint64(V31) << 32) + W2 = uint64(V22) | (uint64(V32) << 32) + W3 = uint64(V23) | (uint64(V33) << 32) + W4 = uint64(V24) | (uint64(V34) << 32) + W5 = uint64(V25) | (uint64(V35) << 32) + W6 = uint64(V26) | (uint64(V36) << 32) + W7 = uint64(V27) | (uint64(V37) << 32) + + for r := uintptr(0); r < 8; r++ { + tw = W0 + W0 |= W1 + W2 ^= W3 + W1 = ^W1 + W0 ^= W3 + W3 &= tw + W1 ^= W3 + W3 ^= W2 + W2 &= W0 + W0 = ^W0 + W2 ^= W1 + W1 |= W3 + tw ^= W1 + W3 ^= W2 + W2 &= W1 + W1 ^= W0 + W0 = tw + + tw = W5 + W5 |= W6 + W7 ^= W4 + W6 = ^W6 + W5 ^= W4 + W4 &= tw + W6 ^= W4 + W4 ^= W7 + W7 &= W5 + W5 = ^W5 + W7 ^= W6 + W6 |= W4 + tw ^= W6 + W4 ^= W7 + W7 &= W6 + W6 ^= W5 + W5 = tw + + W4 ^= W0 + ul = uint32(W0) + uh = uint32((W0 >> 32)) + vl = uint32(W4) + vh = uint32((W4 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W0 = uint64(ul) | (uint64(uh) << 32) + W4 = uint64(vl) | (uint64(vh) << 32) + + W5 ^= W1 + ul = uint32(W1) + uh = uint32((W1 >> 32)) + vl = uint32(W5) + vh = uint32((W5 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W1 = uint64(ul) | (uint64(uh) << 32) + W5 = uint64(vl) | (uint64(vh) << 32) + + W6 ^= W2 + ul = uint32(W2) + uh = uint32((W2 >> 32)) + vl = uint32(W6) + vh = uint32((W6 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W2 = uint64(ul) | (uint64(uh) << 32) + W6 = uint64(vl) | (uint64(vh) << 32) + + W7 ^= W3 + ul = uint32(W3) + uh = uint32((W3 >> 32)) + vl = uint32(W7) + vh = uint32((W7 >> 32)) + ul = ((ul << 2) | (ul >> (32 - 2))) ^ vl + vl = ((vl << 14) | (vl >> (32 - 14))) ^ ul + ul = ((ul << 10) | (ul >> (32 - 10))) ^ vl + vl = ((vl << 1) | (vl >> (32 - 1))) + uh = ((uh << 2) | (uh >> (32 - 2))) ^ vh + vh = ((vh << 14) | (vh >> (32 - 14))) ^ uh + uh = ((uh << 10) | (uh >> (32 - 10))) ^ vh + vh = ((vh << 1) | (vh >> (32 - 1))) + W3 = uint64(ul) | (uint64(uh) << 32) + W7 = uint64(vl) | (uint64(vh) << 32) + + W0 ^= kRCW230[r] + W4 ^= kRCW234[r] + } + + V20 = uint32(W0) + V30 = uint32((W0 >> 32)) + V21 = uint32(W1) + V31 = uint32((W1 >> 32)) + V22 = uint32(W2) + V32 = uint32((W2 >> 32)) + V23 = uint32(W3) + V33 = uint32((W3 >> 32)) + V24 = uint32(W4) + V34 = uint32((W4 >> 32)) + V25 = uint32(W5) + V35 = uint32((W5 >> 32)) + V26 = uint32(W6) + V36 = uint32((W6 >> 32)) + V27 = uint32(W7) + V37 = uint32((W7 >> 32)) + + for r := uintptr(0); r < 8; r++ { + tws = V40 + V40 |= V41 + V42 ^= V43 + V41 = ^V41 + V40 ^= V43 + V43 &= tws + V41 ^= V43 + V43 ^= V42 + V42 &= V40 + V40 = ^V40 + V42 ^= V41 + V41 |= V43 + tws ^= V41 + V43 ^= V42 + V42 &= V41 + V41 ^= V40 + V40 = tws + + tws = V45 + V45 |= V46 + V47 ^= V44 + V46 = ^V46 + V45 ^= V44 + V44 &= tws + V46 ^= V44 + V44 ^= V47 + V47 &= V45 + V45 = ^V45 + V47 ^= V46 + V46 |= V44 + tws ^= V46 + V44 ^= V47 + V47 &= V46 + V46 ^= V45 + V45 = tws + + V44 ^= V40 + V40 = ((V40 << 2) | (V40 >> (32 - 2))) ^ V44 + V44 = ((V44 << 14) | (V44 >> (32 - 14))) ^ V40 + V40 = ((V40 << 10) | (V40 >> (32 - 10))) ^ V44 + V44 = ((V44 << 1) | (V44 >> (32 - 1))) + + V45 ^= V41 + V41 = ((V41 << 2) | (V41 >> (32 - 2))) ^ V45 + V45 = ((V45 << 14) | (V45 >> (32 - 14))) ^ V41 + V41 = ((V41 << 10) | (V41 >> (32 - 10))) ^ V45 + V45 = ((V45 << 1) | (V45 >> (32 - 1))) + + V46 ^= V42 + V42 = ((V42 << 2) | (V42 >> (32 - 2))) ^ V46 + V46 = ((V46 << 14) | (V46 >> (32 - 14))) ^ V42 + V42 = ((V42 << 10) | (V42 >> (32 - 10))) ^ V46 + V46 = ((V46 << 1) | (V46 >> (32 - 1))) + + V47 ^= V43 + V43 = ((V43 << 2) | (V43 >> (32 - 2))) ^ V47 + V47 = ((V47 << 14) | (V47 >> (32 - 14))) ^ V43 + V43 = ((V43 << 10) | (V43 >> (32 - 10))) ^ V47 + V47 = ((V47 << 1) | (V47 >> (32 - 1))) + + V40 ^= kRC40[r] + V44 ^= kRC44[r] + } + } + + switch i { + case 0: + memset(buf[:], 0) + case 1: + encUInt32be(dst[0:], V00^V10^V20^V30^V40) + encUInt32be(dst[4:], V01^V11^V21^V31^V41) + encUInt32be(dst[8:], V02^V12^V22^V32^V42) + encUInt32be(dst[12:], V03^V13^V23^V33^V43) + encUInt32be(dst[16:], V04^V14^V24^V34^V44) + encUInt32be(dst[20:], V05^V15^V25^V35^V45) + encUInt32be(dst[24:], V06^V16^V26^V36^V46) + encUInt32be(dst[28:], V07^V17^V27^V37^V47) + case 2: + encUInt32be(dst[32:], V00^V10^V20^V30^V40) + encUInt32be(dst[36:], V01^V11^V21^V31^V41) + encUInt32be(dst[40:], V02^V12^V22^V32^V42) + encUInt32be(dst[44:], V03^V13^V23^V33^V43) + encUInt32be(dst[48:], V04^V14^V24^V34^V44) + encUInt32be(dst[52:], V05^V15^V25^V35^V45) + encUInt32be(dst[56:], V06^V16^V26^V36^V46) + encUInt32be(dst[60:], V07^V17^V27^V37^V47) + } + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func decUInt32be(src []byte) uint32 { + return (uint32(src[0])<<24 | + uint32(src[1])<<16 | + uint32(src[2])<<8 | + uint32(src[3])) +} + +func encUInt32be(dst []byte, src uint32) { + dst[0] = uint8(src >> 24) + dst[1] = uint8(src >> 16) + dst[2] = uint8(src >> 8) + dst[3] = uint8(src) +} + +var kInit = [5][8]uint32{ + { + uint32(0x6d251e69), uint32(0x44b051e0), + uint32(0x4eaa6fb4), uint32(0xdbf78465), + uint32(0x6e292011), uint32(0x90152df4), + uint32(0xee058139), uint32(0xdef610bb), + }, + { + uint32(0xc3b44b95), uint32(0xd9d2f256), + uint32(0x70eee9a0), uint32(0xde099fa3), + uint32(0x5d9b0557), uint32(0x8fc944b3), + uint32(0xcf1ccf0e), uint32(0x746cd581), + }, + { + uint32(0xf7efc89d), uint32(0x5dba5781), + uint32(0x04016ce5), uint32(0xad659c05), + uint32(0x0306194f), uint32(0x666d1836), + uint32(0x24aa230a), uint32(0x8b264ae7), + }, + { + uint32(0x858075d5), uint32(0x36d79cce), + uint32(0xe571f7d7), uint32(0x204b1f67), + uint32(0x35870c6a), uint32(0x57e9e923), + uint32(0x14bcb808), uint32(0x7cde72ce), + }, + { + uint32(0x6c68e9be), uint32(0x5ec41e22), + uint32(0xc825b7c7), uint32(0xaffb4363), + uint32(0xf5df3999), uint32(0x0fc688f1), + uint32(0xb07224cc), uint32(0x03e86cea), + }, +} + +var kRC40 = [8]uint32{ + uint32(0xf0d2e9e3), uint32(0xac11d7fa), + uint32(0x1bcb66f2), uint32(0x6f2d9bc9), + uint32(0x78602649), uint32(0x8edae952), + uint32(0x3b6ba548), uint32(0xedae9520), +} +var kRC44 = [8]uint32{ + uint32(0x5090d577), uint32(0x2d1925ab), + uint32(0xb46496ac), uint32(0xd1925ab0), + uint32(0x29131ab6), uint32(0x0fc053c3), + uint32(0x3f014f0c), uint32(0xfc053c31), +} + +var kRCW010 = [8]uint64{ + uint64(0xb6de10ed303994a6), uint64(0x70f47aaec0e65299), + uint64(0x0707a3d46cc33a12), uint64(0x1c1e8f51dc56983e), + uint64(0x707a3d451e00108f), uint64(0xaeb285627800423d), + uint64(0xbaca15898f5b7882), uint64(0x40a46f3e96e1db12), +} +var kRCW014 = [8]uint64{ + uint64(0x01685f3de0337818), uint64(0x05a17cf4441ba90d), + uint64(0xbd09caca7f34d442), uint64(0xf4272b289389217f), + uint64(0x144ae5cce5a8bce6), uint64(0xfaa7ae2b5274baf4), + uint64(0x2e48f1c126889ba7), uint64(0xb923c7049a226e9d), +} +var kRCW230 = [8]uint64{ + uint64(0xb213afa5fc20d9d2), uint64(0xc84ebe9534552e25), + uint64(0x4e608a227ad8818f), uint64(0x56d858fe8438764a), + uint64(0x343b138fbb6de032), uint64(0xd0ec4e3dedb780c8), + uint64(0x2ceb4882d9847356), uint64(0xb3ad2208a2c78434), +} +var kRCW234 = [8]uint64{ + uint64(0xe028c9bfe25e72c1), uint64(0x44756f91e623bb72), + uint64(0x7e8fce325c58a4a4), uint64(0x956548be1e38e2e7), + uint64(0xfe191be278e38b9d), uint64(0x3cb226e527586719), + uint64(0x5944a28e36eda57f), uint64(0xa1c4c355703aace7), +} diff --git a/crypto/x16rv3/luffa/luffa_test.go b/crypto/x16rv3/luffa/luffa_test.go new file mode 100644 index 0000000..7c81c96 --- /dev/null +++ b/crypto/x16rv3/luffa/luffa_test.go @@ -0,0 +1,2161 @@ +package luffa + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{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"4870AB70CC311CEBD330549BDDABF0976AB8D6D5840B63EAECA5F35932AA54B4252D4ADED0523A363CA4F1C9F0B0938E1C6A1CB8792A08B5C70FE3C395710107", + "FA20B59D31E5D3CD8B947EC023039D70888F7226947548D2589CD483BC9B554EB8795673F0855690EB56F3535E29FE5BBB43BB0E5AC79A1011F14EAC7B9FEC94", + "3FDB110AF6125BBD411B1C69D84364DC4348B3A54B6A282D4C5DA7FA10734838FA62A4BF08856F50781D25DC264B1BAD8C3A2585261DB5D27929DD21E219B0A1", + "5350369E91956D5CAB35A306EE4BCFA770DDF636079DC69955F8575FF3D0713426FCC635776D1D658C1C125A8D1305AF6CD75CE30722ADB4DC7DF6B107E8BF3D", + "97E041A8E9FE46F39B91CB2EB98D0B4942626DBB7481D63F84CA9FE20B9E74C46DFAE5CD8FCAFB33ECB96C530C001AADDE0C94D0BEA61B1545BAA6668A9A3CB1", + "7452E11E97BEDEA0E5B9B576D331A0D3C4DF304ED92FA126D73AFFAC51AE437D294B4B7032A1CE9C640672394F94B8D8280323F7F836459DDE3D9BB24180CE2C", +} diff --git a/crypto/x16rv3/nist/nist.go b/crypto/x16rv3/nist/nist.go new file mode 100644 index 0000000..501320f --- /dev/null +++ b/crypto/x16rv3/nist/nist.go @@ -0,0 +1,26335 @@ +package nist + +// Get returns a slice that contains one of the NIST +// short messages, defined for the SHA-3 test vectors. +// The messages are indexed from 0 to 2047, inclusive. +func Get(idx uint64) []byte { + if idx != 0 { + n := (idx - 1) >> 3 + off := ((n * (n + 1)) >> 1) * 8 + off += ((idx - 1) & 7) * (n + 1) + + dlen := off + ((idx + 7) / 8) + return kNistData[off:dlen] + } + + return kNistData[0:0] +} + +// IsEqual checks if both input slices are equal. +func IsEqual(a, b []byte) bool { + if a == nil && b == nil { + return true + } + if a == nil || b == nil { + return false + } + if len(a) != len(b) { + return false + } + for i := range a { + if a[i] != b[i] { + return false + } + } + return true +} + +// nistData contains the plaintext messages used by NIST as the test +// vectors for the SHA-3 competitions. Messages have increasing lengths +// from 1 to 2047 bits, inclusive, and are concatenated here in a single +// array. Each message is laid out over an integral number of bytes. +var kNistData = []byte{ + 0x00, 0xC0, 0xC0, 0x80, 0x48, 0x50, 0x98, 0xCC, 0x98, 0x00, + 0x9D, 0x40, 0xAA, 0x80, 0x98, 0x30, 0x50, 0x30, 0x4D, 0x24, + 0xCB, 0xDE, 0x41, 0xFB, 0x4F, 0xF4, 0x00, 0xFD, 0x04, 0x40, + 0x42, 0x4D, 0x00, 0x3F, 0xDE, 0xE0, 0x33, 0x57, 0x68, 0x05, + 0x1E, 0x7C, 0x71, 0x7F, 0x8C, 0x1F, 0x87, 0x7C, 0xEB, 0x35, + 0xCF, 0x80, 0xB4, 0x06, 0xC4, 0x80, 0xCE, 0xE8, 0x80, 0x40, + 0xC5, 0x84, 0xDB, 0x70, 0x53, 0x58, 0x7B, 0xC8, 0x69, 0xA3, + 0x05, 0xB0, 0xC9, 0x37, 0x5E, 0xCE, 0xC1, 0xEC, 0xFD, 0xFC, + 0x8D, 0x73, 0xE8, 0xA2, 0x80, 0x06, 0xF2, 0x52, 0x20, 0x80, + 0x3E, 0xF6, 0xC3, 0x6F, 0x20, 0x01, 0x27, 0xA1, 0xD3, 0x40, + 0x6A, 0x6A, 0xB6, 0xC2, 0x10, 0xAF, 0x31, 0x75, 0xE1, 0x60, + 0xB6, 0x66, 0x09, 0xED, 0x86, 0x21, 0xF1, 0x34, 0xAC, 0x57, + 0x3D, 0xC2, 0xAA, 0xDF, 0xFC, 0x80, 0x92, 0x02, 0x73, 0x6D, + 0x22, 0x40, 0xF2, 0x19, 0xBD, 0x62, 0x98, 0x20, 0xF3, 0x51, + 0x1E, 0xE2, 0xC4, 0xB0, 0x3E, 0xCA, 0xB6, 0xBF, 0x77, 0x20, + 0xCD, 0x62, 0xF6, 0x88, 0xF4, 0x98, 0xC2, 0xCB, 0xAA, 0x33, + 0xA9, 0xF8, 0xC6, 0xF5, 0x0B, 0xB7, 0x4E, 0x29, 0x79, 0xF1, + 0xB4, 0xCC, 0xC6, 0x2A, 0x00, 0x90, 0x23, 0x9D, 0x7E, 0xA2, + 0xA5, 0xC0, 0x9A, 0xF4, 0xC2, 0xD1, 0x44, 0xE3, 0x40, 0xA4, + 0xF2, 0x61, 0x3F, 0xA7, 0xAB, 0x70, 0xE8, 0x63, 0xB8, 0x5E, + 0xE7, 0xB5, 0x28, 0x9F, 0x3D, 0x6D, 0x6A, 0x44, 0xB6, 0x84, + 0x14, 0xB0, 0x6D, 0xD5, 0x4E, 0xB3, 0x64, 0x11, 0x97, 0x13, + 0xCC, 0x83, 0xEE, 0xEF, 0x85, 0x69, 0xDF, 0x97, 0x1E, 0x67, + 0x4E, 0x00, 0x42, 0xDA, 0x39, 0xAC, 0x59, 0x51, 0xFE, 0xC0, + 0x23, 0x06, 0x88, 0xD3, 0x59, 0xF3, 0x13, 0x80, 0xBA, 0x59, + 0x4E, 0x0F, 0xB9, 0xEB, 0xBD, 0x30, 0x9D, 0x1B, 0xC3, 0x47, + 0xE3, 0xB0, 0x52, 0x40, 0x75, 0x6F, 0xDE, 0x7A, 0xB6, 0xCB, + 0x53, 0x1C, 0x66, 0x9D, 0xAD, 0x29, 0xEA, 0x0D, 0x28, 0x9E, + 0x4A, 0x4F, 0x20, 0x24, 0x84, 0x51, 0x25, 0x26, 0xC8, 0x6C, + 0xCB, 0x0A, 0x41, 0x16, 0x02, 0x60, 0x80, 0x7A, 0x55, 0x6A, + 0x04, 0x3B, 0xD8, 0x67, 0xFB, 0x00, 0x91, 0x82, 0x9C, 0x7B, + 0x40, 0x31, 0x00, 0x58, 0x80, 0x04, 0x62, 0x42, 0x7C, 0x86, + 0x57, 0x98, 0xD2, 0x60, 0xA5, 0x18, 0x06, 0x36, 0x4A, 0xFB, + 0xD2, 0xE8, 0x30, 0xF8, 0xCB, 0x65, 0xB7, 0xFE, 0x69, 0x95, + 0xF2, 0x00, 0x45, 0x4C, 0x87, 0xF4, 0x3D, 0xA3, 0x7E, 0xDB, + 0x04, 0x1F, 0x66, 0xAB, 0x41, 0x85, 0xED, 0x9B, 0x63, 0x75, + 0x5D, 0x7C, 0x71, 0xC2, 0x75, 0xD9, 0xF5, 0x61, 0x3E, 0x00, + 0x1A, 0x53, 0x3E, 0x4B, 0xD1, 0x00, 0xA8, 0x38, 0x84, 0xC0, + 0x7C, 0x84, 0x33, 0xBB, 0x4F, 0xD4, 0x6E, 0xA1, 0x7B, 0xE0, + 0x8C, 0xAC, 0xC3, 0x3C, 0x81, 0xB2, 0x9F, 0x0E, 0x88, 0x30, + 0x9C, 0xD0, 0xB4, 0xA4, 0x84, 0x55, 0xA6, 0x71, 0x6A, 0xC0, + 0x4D, 0xBF, 0x1B, 0x5F, 0xFD, 0x3D, 0x72, 0xD2, 0x0F, 0x50, + 0xBE, 0x31, 0xE2, 0x94, 0x5E, 0x1B, 0xA1, 0x79, 0x01, 0xC0, + 0xEE, 0xD7, 0x42, 0x22, 0x27, 0x61, 0x3B, 0x6F, 0x53, 0xC9, + 0x77, 0xB5, 0x6B, 0x46, 0x07, 0x96, 0x58, 0x2D, 0x1F, 0xEE, + 0x00, 0x5F, 0x08, 0x5C, 0x1F, 0x91, 0xF2, 0xE5, 0xEB, 0x05, + 0xC8, 0x40, 0xE5, 0xE5, 0x59, 0x37, 0x32, 0x33, 0xE6, 0xEF, + 0x93, 0x31, 0x20, 0x67, 0x0C, 0x35, 0x72, 0x39, 0xC4, 0x6D, + 0x9E, 0x96, 0xDD, 0x20, 0x33, 0xBA, 0xF9, 0x6B, 0x35, 0x24, + 0x1E, 0xB2, 0x24, 0x32, 0x30, 0x71, 0x48, 0xA6, 0x21, 0xD3, + 0x5D, 0x6D, 0x48, 0x6B, 0xDA, 0x90, 0x9D, 0x71, 0x46, 0xB5, + 0xE9, 0xC8, 0x24, 0x6B, 0xEA, 0x8C, 0x4E, 0xEA, 0xEE, 0xD5, + 0xCD, 0xFF, 0xD8, 0x9D, 0xEC, 0xE4, 0x55, 0xF1, 0xCA, 0xD9, + 0x8A, 0xD0, 0xD9, 0xBF, 0x16, 0x12, 0x29, 0x07, 0x42, 0x80, + 0x6B, 0x76, 0x7F, 0x82, 0x89, 0x07, 0x09, 0xDD, 0xF7, 0xA1, + 0xEE, 0x80, 0x73, 0x69, 0x76, 0x88, 0xCB, 0xBF, 0x28, 0xC5, + 0x1D, 0xDD, 0xDA, 0xE0, 0xA3, 0xC1, 0x96, 0x7A, 0x97, 0xE5, + 0x8B, 0x43, 0x45, 0x3D, 0x37, 0x60, 0x03, 0x98, 0x12, 0x80, + 0xD8, 0x9F, 0x7E, 0xC9, 0x84, 0x5C, 0x29, 0xA0, 0x0E, 0x42, + 0xE6, 0xEF, 0xD4, 0xD3, 0x78, 0x5E, 0xF0, 0xBB, 0x3A, 0x4C, + 0x6C, 0xE6, 0xB3, 0xC0, 0x77, 0x86, 0x5C, 0xAB, 0x3D, 0x09, + 0x9B, 0x66, 0x5B, 0xE4, 0x3C, 0x90, 0xF2, 0x29, 0x02, 0xE4, + 0xFE, 0x8E, 0xD2, 0xD3, 0xE9, 0x4F, 0x8C, 0x8A, 0x90, 0x9F, + 0xFB, 0x8D, 0xF2, 0x2C, 0x19, 0xFA, 0x80, 0x00, 0x47, 0x61, + 0xF6, 0x02, 0x8A, 0xDB, 0xDC, 0x4D, 0x5A, 0x8C, 0xA6, 0x40, + 0xB1, 0xBA, 0x22, 0x23, 0xCC, 0x3A, 0xC0, 0x42, 0xD0, 0x65, + 0x54, 0xEA, 0xC0, 0x74, 0x61, 0x22, 0x43, 0x8A, 0xD1, 0xB5, + 0xB8, 0x98, 0x9D, 0x64, 0xB3, 0x20, 0x3D, 0xAD, 0x6E, 0x4B, + 0x69, 0xAE, 0x8B, 0xD1, 0x6D, 0x83, 0x02, 0x13, 0xE0, 0xD4, + 0x41, 0xF5, 0x4B, 0x91, 0x88, 0x19, 0xF3, 0x6B, 0x22, 0x0B, + 0x96, 0x08, 0xF4, 0x4C, 0xE7, 0x42, 0x7B, 0x60, 0x42, 0xED, + 0x34, 0x3F, 0x6D, 0x21, 0x94, 0xA7, 0x46, 0x27, 0x32, 0x28, + 0x12, 0x2F, 0x38, 0x1C, 0x3B, 0x46, 0xE4, 0xF1, 0xB8, 0x83, + 0xCD, 0xD1, 0x74, 0x2C, 0x22, 0x42, 0x46, 0x78, 0x4D, 0xB6, + 0x90, 0x80, 0x55, 0x5F, 0xD7, 0x29, 0x75, 0x1E, 0xB2, 0xF8, + 0x98, 0x6B, 0x19, 0x57, 0x87, 0x40, 0x7A, 0x60, 0x95, 0x24, + 0xC0, 0xF7, 0x06, 0xF6, 0x29, 0x44, 0x1B, 0x97, 0x8A, 0xE0, + 0xAC, 0x79, 0xB3, 0x74, 0xD4, 0x01, 0xEF, 0xDB, 0x32, 0x32, + 0xD0, 0x82, 0x6C, 0x60, 0xD8, 0xFC, 0x20, 0xBD, 0x00, 0x25, + 0xC7, 0x58, 0x2B, 0x79, 0x46, 0x94, 0x79, 0x18, 0x0E, 0xCB, + 0x1F, 0xC3, 0xF8, 0x1F, 0x32, 0x36, 0xFA, 0x7B, 0x91, 0xF7, + 0xAA, 0xCC, 0xD5, 0x33, 0x4C, 0xA1, 0x05, 0x54, 0xC5, 0x83, + 0xF1, 0x1D, 0x9F, 0x84, 0xA7, 0x1E, 0x3C, 0x58, 0x71, 0xCD, + 0x61, 0x9C, 0x69, 0xA6, 0x3B, 0x54, 0x0E, 0xB5, 0xA6, 0x25, + 0xA9, 0x99, 0x53, 0x8B, 0x0C, 0x31, 0xD7, 0x33, 0x9A, 0x21, + 0x7C, 0x14, 0x84, 0xC6, 0x80, 0xF4, 0xD4, 0xFE, 0xE3, 0x64, + 0xCE, 0x3C, 0xF4, 0x39, 0xD0, 0x16, 0x0E, 0xA7, 0xE7, 0x80, + 0x55, 0xA4, 0xFA, 0x60, 0x97, 0xE8, 0x75, 0x3C, 0xCE, 0x38, + 0xFB, 0x4E, 0x59, 0xD4, 0x60, 0xFE, 0xE0, 0x23, 0x93, 0x60, + 0x21, 0x0B, 0x6E, 0x37, 0x61, 0xE6, 0x05, 0x9D, 0xAC, 0x10, + 0x17, 0x50, 0xD5, 0xD5, 0x21, 0x52, 0x85, 0x82, 0x17, 0x7D, + 0xCD, 0xB0, 0x46, 0xE0, 0x08, 0x68, 0xBF, 0x39, 0x21, 0xEF, + 0x9D, 0xD0, 0xB6, 0xAB, 0xF7, 0x32, 0xD9, 0xE5, 0x08, 0xA4, + 0xC2, 0x60, 0x37, 0xF9, 0x51, 0xB3, 0xCE, 0x27, 0xD5, 0x6C, + 0x03, 0x03, 0x43, 0x2F, 0xEA, 0xFA, 0x22, 0x87, 0x4B, 0xCC, + 0x06, 0x88, 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0xD4, 0xDE, 0xE4, 0xD4, 0xE8, 0x4C, + 0x8E, 0xA0, 0x8F, 0x03, 0xFE, 0x4C, 0x95, 0xD8, 0x96, 0x7C, + 0x3C, 0x28, 0xE8, 0x26, 0x06, 0xFE, 0x73, 0x90, 0x44, 0x9C, + 0x4C, 0x0E, 0xBF, 0xC0, 0x02, 0x05, 0x4C, 0x82, 0x28, 0x15, + 0x7D, 0x04, 0xD8, 0xB4, 0x34, 0x6A, 0x16, 0x67, 0xEB, 0x17, + 0x3C, 0xF2, 0x38, 0xB0, 0xEC, 0x54, 0x53, 0x60, 0xEE, 0x77, + 0xF1, 0x81, 0xB5, 0x5B, 0x94, 0x2C, 0xC7, 0x7E, 0x84, 0xB6, + 0x4A, 0x74, 0x24, 0x1F, 0x8E, 0x02, 0xBB, 0x94, 0x05, 0x60, + 0x57, 0x59, 0x64, 0xC5, 0xFA, 0x13, 0x1C, 0x45, 0x3B, 0xCB, + 0x17, 0x9B, 0x65, 0x47, 0xD3, 0x17, 0x18, 0x0B, 0xDA, 0x99, + 0xD8, 0xEA, 0x69, 0xD4, 0x21, 0x6B, 0x58, 0xE8, 0xC3, 0x8B, + 0xCA, 0xBA, 0x42, 0xE2, 0xB1, 0xE2, 0x37, 0x12, 0xC6, 0x55, + 0x8C, 0x6A, 0x1A, 0x14, 0x99, 0x69, 0x55, 0x54, 0x0A, 0x4D, + 0x54, 0xA9, 0x73, 0x64, 0xB1, 0xED, 0x11, 0xBA, 0xB2, 0xB2, + 0x0E, 0x0D, 0xCA, 0x28, 0x27, 0xFE, 0x47, 0xEA, 0xC1, 0x0E, + 0x7B, 0xEB, 0x69, 0x4E, 0xD6, 0xF4, 0x88, 0x60, 0xD4, 0x19, + 0xF3, 0xC3, 0x70, 0xF8, 0x93, 0xF5, 0x7D, 0x98, 0x58, 0x19, + 0x33, 0x89, 0xDA, 0xF6, 0x9E, 0xAB, 0x13, 0x0C, 0x0B, 0xCF, + 0x00, 0xD6, 0x39, 0xE3, 0xAC, 0xE5, 0x24, 0x0E, 0x23, 0x2D, + 0x73, 0x3D, 0x0A, 0x1A, 0xB4, 0xA8, 0x05, 0xBB, 0x83, 0x67, + 0x47, 0x2D, 0xFE, 0xE0, 0x87, 0x37, 0x62, 0xCE, 0xD8, 0x00, + 0x6D, 0xB3, 0xEC, 0x84, 0x15, 0x3A, 0x48, 0x08, 0x85, 0x81, + 0xC2, 0xBF, 0xED, 0xF7, 0x8F, 0xF9, 0xDC, 0xD6, 0x28, 0xB2, + 0xB9, 0xDB, 0x64, 0xFF, 0xA9, 0x00, 0xB6, 0x2E, 0xEC, 0x1F, + 0x35, 0x8E, 0x4E, 0xD5, 0xEA, 0x31, 0xCA, 0x71, 0x9E, 0xFB, + 0xF3, 0x81, 0xB6, 0xAF, 0x5B, 0x36, 0x6C, 0xBF, 0x20, 0x25, + 0x09, 0x9E, 0x30, 0xB3, 0x9B, 0xF4, 0x46, 0xC8, 0xCA, 0x12, + 0x3A, 0xC3, 0x02, 0xFF, 0xCD, 0x16, 0x39, 0x46, 0x30, 0x6F, + 0x54, 0x20, 0xE3, 0xC2, 0xE8, 0xD5, 0x0F, 0x48, 0x16, 0x94, + 0x02, 0xEF, 0x2E, 0x17, 0x64, 0x22, 0x8D, 0x30, 0xA4, 0xF1, + 0x4A, 0x3E, 0xEA, 0xD1, 0xC0, 0xA1, 0x06, 0x66, 0x75, 0x18, + 0x36, 0xCF, 0x74, 0xE3, 0x56, 0x14, 0x74, 0xF9, 0x0A, 0x2B, + 0x62, 0x71, 0x8C, 0x87, 0x40, 0xCE, 0x55, 0x3A, 0x20, 0x73, + 0x34, 0xA1, 0xED, 0xC7, 0xF9, 0x5B, 0x70, 0x28, 0x48, 0x59, + 0x5E, 0xC2, 0x32, 0x85, 0xF8, 0x26, 0xC9, 0x89, 0xCD, 0x97, + 0x5C, 0x43, 0x90, 0xE2, 0x4C, 0x48, 0x53, 0x35, 0xB6, 0x16, + 0xBC, 0xBE, 0xBC, 0x16, 0xEB, 0x7C, 0x24, 0xE8, 0x95, 0xF1, + 0xA6, 0x33, 0xD5, 0xE3, 0x31, 0xDA, 0x67, 0xBD, 0x2A, 0x86, + 0xB0, 0x88, 0xBA, 0x68, 0x74, 0xBA, 0xAC, 0x74, 0xF0, 0x8F, + 0x54, 0x83, 0xD0, 0x70, 0x2F, 0x0E, 0x41, 0x22, 0x9C, 0x14, + 0xA5, 0x88, 0xBE, 0xBD, 0x59, 0x2F, 0x86, 0xDA, 0xDB, 0x5B, + 0xA7, 0x2A, 0x1E, 0x7F, 0xE3, 0x10, 0x72, 0x8B, 0x42, 0x34, + 0xAE, 0xC7, 0x36, 0x1A, 0xE4, 0x60, 0xDB, 0x29, 0x9D, 0x54, + 0x23, 0x5D, 0xBC, 0x92, 0xDC, 0x20, 0xDA, 0x9A, 0x9B, 0x3D, + 0xD3, 0xFD, 0x7E, 0x68, 0xDA, 0xBE, 0xE8, 0x0C, 0x8D, 0x12, + 0x72, 0xBC, 0x1D, 0x1C, 0x98, 0x09, 0x3C, 0xAC, 0x93, 0xDB, + 0xF7, 0xFA, 0xD2, 0xD4, 0x48, 0xE2, 0xF1, 0xA7, 0x99, 0x22, + 0x56, 0xEC, 0xB5, 0x37, 0xDC, 0x50, 0x17, 0x56, 0xF6, 0x6D, + 0x6D, 0x7B, 0x44, 0x09, 0xC4, 0xC7, 0x4C, 0xEB, 0x93, 0x55, + 0xE8, 0x58, 0x71, 0x36, 0xF6, 0x7F, 0xEE, 0x97, 0x36, 0x66, + 0x73, 0x70, 0xEC, 0x92, 0x4A, 0xF3, 0x4D, 0xE2, 0x2F, 0x75, + 0x41, 0x0C, 0x12, 0x51, 0xB3, 0x44, 0x65, 0x3F, 0x25, 0x35, + 0xA1, 0x63, 0xB7, 0xFB, 0x90, 0xEC, 0xD8, 0x74, 0xFB, 0x03, + 0x62, 0x67, 0x0E, 0x2F, 0x91, 0x82, 0xEF, 0xDF, 0x02, 0x21, + 0xB0, 0xF7, 0x27, 0xBC, 0x63, 0x53, 0x4E, 0x9F, 0x98, 0xF4, + 0xAD, 0x71, 0x3D, 0x6B, 0x94, 0x86, 0xF5, 0x82, 0x21, 0x44, + 0x22, 0x73, 0xB9, 0xD1, 0xEE, 0x50, 0x1F, 0x42, 0xAD, 0xD2, + 0x5C, 0x0A, 0x80, 0xA4, 0xC8, 0x2A, 0xAE, 0x3A, 0x0E, 0x30, + 0x2A, 0xBF, 0x92, 0x61, 0xDC, 0xA7, 0xE7, 0x88, 0x4F, 0xD8, + 0x69, 0xD9, 0x6E, 0xD4, 0xCE, 0x88, 0xAA, 0xAA, 0x25, 0x30, + 0x4D, 0x2D, 0x79, 0xE1, 0xFA, 0x5C, 0xC1, 0xFA, 0x2C, 0x95, + 0x89, 0x92, 0x29, 0xBC, 0x87, 0x43, 0x1A, 0xD0, 0x6D, 0xA5, + 0x24, 0xF2, 0x14, 0x0E, 0x70, 0xBD, 0x05, 0x36, 0xE9, 0x68, + 0x5E, 0xE7, 0x80, 0x8F, 0x59, 0x8D, 0x8A, 0x9F, 0xE1, 0x5D, + 0x40, 0xA7, 0x2A, 0xEF, 0xF4, 0x31, 0x23, 0x92, 0x92, 0xC5, + 0xF6, 0x4B, 0xDB, 0x7F, 0x62, 0x0E, 0x5D, 0x16, 0x0B, 0x32, + 0x9D, 0xEB, 0x58, 0xCF, 0x6D, 0x5C, 0x06, 0x65, 0xA3, 0xDE, + 0xD6, 0x1A, 0xE4, 0xAD, 0xBC, 0xA9, 0x4D, 0xC2, 0xB7, 0xB0, + 0x2C, 0xDF, 0x39, 0x92, 0xFD, 0xF7, 0x9B, 0x3D, 0x93, 0xE5, + 0x46, 0xD5, 0x82, 0x3C, 0x3A, 0x63, 0x09, 0x23, 0x06, 0x4E, + 0xD2, 0x4C, 0x3D, 0x97, 0x4C, 0x46, 0x02, 0xA4, 0x9D, 0xF7, + 0x5E, 0x49, 0xCF, 0x7B, 0xD5, 0x1E, 0xDC, 0x73, 0x82, 0x21, + 0x4C, 0xBA, 0x85, 0x0C, 0x4D, 0x3D, 0x11, 0xB4, 0x0A, 0x70, + 0xB1, 0xD9, 0x26, 0xE3, 0x75, 0x5E, 0xC7, 0x96, 0x93, 0x62, + 0x0C, 0x24, 0x2A, 0xB0, 0xF2, 0x3E, 0xA2, 0x06, 0xBA, 0x33, + 0x7A, 0x7E, 0xDC, 0x54, 0x21, 0xD6, 0x31, 0x26, 0xCB, 0x6C, + 0x70, 0x94, 0xF6, 0xBC, 0x1C, 0xF9, 0x94, 0x37, 0x96, 0xBE, + 0x2A, 0x0D, 0x9E, 0xB7, 0x4F, 0xC7, 0x26, 0xAA, 0x0C, 0x0D, + 0x3B, 0x3D, 0x39, 0x03, 0x9D, 0xEA, 0xD3, 0x9A, 0x71, 0x69, + 0xF8, 0xC3, 0xE2, 0x36, 0x5D, 0xD3, 0x49, 0xE3, 0x58, 0xBF, + 0x08, 0xC7, 0x17, 0xD2, 0xE4, 0x36, 0xD6, 0x51, 0x72, 0xA7, + 0x6E, 0xD5, 0xE1, 0xF1, 0xE6, 0x94, 0xA7, 0x5C, 0x19, 0x28, + 0x0B, 0x2A, +} diff --git a/crypto/x16rv3/nist/nist_test.go b/crypto/x16rv3/nist/nist_test.go new file mode 100644 index 0000000..dc006c5 --- /dev/null +++ b/crypto/x16rv3/nist/nist_test.go @@ -0,0 +1,41 @@ +package nist + +import "testing" + +func TestGet(t *testing.T) { + if ln := len(Get(0)); 0 != ln { + t.Errorf("Get: expected length: %d, got %d", 0, ln) + } + if ln := len(Get(1)); 1 != ln { + t.Errorf("Get: expected length: %d, got %d", 1, ln) + } +} + +func TestHashIsEqual(t *testing.T) { + var a = []byte{0x00, 0x01} + var b = []byte{0x00, 0x01} + var c = []byte{0x01, 0x02} + var d = []byte{0x01, 0x02, 0x03} + + if !IsEqual(a, a) { + t.Errorf("HashIsEqual: expected true, got false") + } + if !IsEqual(a, b) { + t.Errorf("HashIsEqual: expected true, got false") + } + if IsEqual(a, c) { + t.Errorf("HashIsEqual: expected false, got true") + } + if IsEqual(c, d) { + t.Errorf("HashIsEqual: expected false, got true") + } + if IsEqual(a, nil) { + t.Errorf("HashIsEqual: expected false, got true") + } + if IsEqual(nil, b) { + t.Errorf("HashIsEqual: expected false, got true") + } + if !IsEqual(nil, nil) { + t.Errorf("HashIsEqual: expected true, got false") + } +} diff --git a/crypto/x16rv3/shabal/shabal.go b/crypto/x16rv3/shabal/shabal.go new file mode 100644 index 0000000..04f24b6 --- /dev/null +++ b/crypto/x16rv3/shabal/shabal.go @@ -0,0 +1,226 @@ +package shabal + +import ( + "encoding/binary" + // "unsafe" + // "bytes" + // "reflect" + // "strconv" + // "fmt" +) + +var A_init_512 = [...]uint32{ + (0x20728DFD), (0x46C0BD53), (0xE782B699), (0x55304632), + (0x71B4EF90), (0x0EA9E82C), (0xDBB930F1), (0xFAD06B8B), + (0xBE0CAE40), (0x8BD14410), (0x76D2ADAC), (0x28ACAB7F), +} + +var B_init_512 = [...]uint32{ + (0xC1099CB7), (0x07B385F3), (0xE7442C26), (0xCC8AD640), + (0xEB6F56C7), (0x1EA81AA9), (0x73B9D314), (0x1DE85D08), + (0x48910A5A), (0x893B22DB), (0xC5A0DF44), (0xBBC4324E), + (0x72D2F240), (0x75941D99), (0x6D8BDE82), (0xA1A7502B), +} + +var C_init_512 = [...]uint32{ + (0xD9BF68D1), (0x58BAD750), (0x56028CB2), (0x8134F359), + (0xB5D469D8), (0x941A8CC2), (0x418B2A6E), (0x04052780), + (0x7F07D787), (0x5194358F), (0x3C60D665), (0xBE97D79A), + (0x950C3434), (0xAED9A06D), (0x2537DC8D), (0x7CDB5969), +} + +var buf []uint8 +var C, M, A, B []uint32 +var Whigh, Wlow uint32 +var ptr int + +func PERM_ELT(xa0, xa1, xb0, xb1, xb2, xb3, xc, xm *uint32) { + *xa0 = (((*xa0) ^ ((((*xa1) << 15) | ((*xa1) >> 17)) * 5) ^ (*xc)) * 3) ^ (*xb1) ^ ((*xb2) & (^(*xb3))) ^ (*xm) + *xb0 = (^((((*xb0) << 1) | ((*xb0) >> 31)) ^ (*xa0))) +} + +func shabal_cal_DECODE() { + for i := 0; i < 16; i++ { + M[i] = binary.LittleEndian.Uint32(buf[i*4:]) + B[i] = (B[i] + M[i]) + } +} + +func shabal_cal_APPLY_P() { + for i := 0; i < 16; i++ { + B[i] = (B[i] << 17) | (B[i] >> 15) + } + + PERM_ELT(&A[0], &A[11], &B[0], &B[13], &B[9], &B[6], &C[8], &M[0]) + PERM_ELT(&A[1], &A[0], &B[1], &B[14], &B[10], &B[7], &C[7], &M[1]) + PERM_ELT(&A[2], &A[1], &B[2], &B[15], &B[11], &B[8], &C[6], &M[2]) + PERM_ELT(&A[3], &A[2], &B[3], &B[0], &B[12], &B[9], &C[5], &M[3]) + PERM_ELT(&A[4], &A[3], &B[4], &B[1], &B[13], &B[10], &C[4], &M[4]) + PERM_ELT(&A[5], &A[4], &B[5], &B[2], &B[14], &B[11], &C[3], &M[5]) + PERM_ELT(&A[6], &A[5], &B[6], &B[3], &B[15], &B[12], &C[2], &M[6]) + PERM_ELT(&A[7], &A[6], &B[7], &B[4], &B[0], &B[13], &C[1], &M[7]) + PERM_ELT(&A[8], &A[7], &B[8], &B[5], &B[1], &B[14], &C[0], &M[8]) + PERM_ELT(&A[9], &A[8], &B[9], &B[6], &B[2], &B[15], &C[15], &M[9]) + PERM_ELT(&A[10], &A[9], &B[10], &B[7], &B[3], &B[0], &C[14], &M[10]) + PERM_ELT(&A[11], &A[10], &B[11], &B[8], &B[4], &B[1], &C[13], &M[11]) + PERM_ELT(&A[0], &A[11], &B[12], &B[9], &B[5], &B[2], &C[12], &M[12]) + PERM_ELT(&A[1], &A[0], &B[13], &B[10], &B[6], &B[3], &C[11], &M[13]) + PERM_ELT(&A[2], &A[1], &B[14], &B[11], &B[7], &B[4], &C[10], &M[14]) + PERM_ELT(&A[3], &A[2], &B[15], &B[12], &B[8], &B[5], &C[9], &M[15]) + PERM_ELT(&A[4], &A[3], &B[0], &B[13], &B[9], &B[6], &C[8], &M[0]) + PERM_ELT(&A[5], &A[4], &B[1], &B[14], &B[10], &B[7], &C[7], &M[1]) + PERM_ELT(&A[6], &A[5], &B[2], &B[15], &B[11], &B[8], &C[6], &M[2]) + PERM_ELT(&A[7], &A[6], &B[3], &B[0], &B[12], &B[9], &C[5], &M[3]) + PERM_ELT(&A[8], &A[7], &B[4], &B[1], &B[13], &B[10], &C[4], &M[4]) + PERM_ELT(&A[9], &A[8], &B[5], &B[2], &B[14], &B[11], &C[3], &M[5]) + PERM_ELT(&A[10], &A[9], &B[6], &B[3], &B[15], &B[12], &C[2], &M[6]) + PERM_ELT(&A[11], &A[10], &B[7], &B[4], &B[0], &B[13], &C[1], &M[7]) + PERM_ELT(&A[0], &A[11], &B[8], &B[5], &B[1], &B[14], &C[0], &M[8]) + PERM_ELT(&A[1], &A[0], &B[9], &B[6], &B[2], &B[15], &C[15], &M[9]) + PERM_ELT(&A[2], &A[1], &B[10], &B[7], &B[3], &B[0], &C[14], &M[10]) + PERM_ELT(&A[3], &A[2], &B[11], &B[8], &B[4], &B[1], &C[13], &M[11]) + PERM_ELT(&A[4], &A[3], &B[12], &B[9], &B[5], &B[2], &C[12], &M[12]) + PERM_ELT(&A[5], &A[4], &B[13], &B[10], &B[6], &B[3], &C[11], &M[13]) + PERM_ELT(&A[6], &A[5], &B[14], &B[11], &B[7], &B[4], &C[10], &M[14]) + PERM_ELT(&A[7], &A[6], &B[15], &B[12], &B[8], &B[5], &C[9], &M[15]) + PERM_ELT(&A[8], &A[7], &B[0], &B[13], &B[9], &B[6], &C[8], &M[0]) + PERM_ELT(&A[9], &A[8], &B[1], &B[14], &B[10], &B[7], &C[7], &M[1]) + PERM_ELT(&A[10], &A[9], &B[2], &B[15], &B[11], &B[8], &C[6], &M[2]) + PERM_ELT(&A[11], &A[10], &B[3], &B[0], &B[12], &B[9], &C[5], &M[3]) + PERM_ELT(&A[0], &A[11], &B[4], &B[1], &B[13], &B[10], &C[4], &M[4]) + PERM_ELT(&A[1], &A[0], &B[5], &B[2], &B[14], &B[11], &C[3], &M[5]) + PERM_ELT(&A[2], &A[1], &B[6], &B[3], &B[15], &B[12], &C[2], &M[6]) + PERM_ELT(&A[3], &A[2], &B[7], &B[4], &B[0], &B[13], &C[1], &M[7]) + PERM_ELT(&A[4], &A[3], &B[8], &B[5], &B[1], &B[14], &C[0], &M[8]) + PERM_ELT(&A[5], &A[4], &B[9], &B[6], &B[2], &B[15], &C[15], &M[9]) + PERM_ELT(&A[6], &A[5], &B[10], &B[7], &B[3], &B[0], &C[14], &M[10]) + PERM_ELT(&A[7], &A[6], &B[11], &B[8], &B[4], &B[1], &C[13], &M[11]) + PERM_ELT(&A[8], &A[7], &B[12], &B[9], &B[5], &B[2], &C[12], &M[12]) + PERM_ELT(&A[9], &A[8], &B[13], &B[10], &B[6], &B[3], &C[11], &M[13]) + PERM_ELT(&A[10], &A[9], &B[14], &B[11], &B[7], &B[4], &C[10], &M[14]) + PERM_ELT(&A[11], &A[10], &B[15], &B[12], &B[8], &B[5], &C[9], &M[15]) + A[11] = (A[11] + C[6]) + A[10] = (A[10] + C[5]) + A[9] = (A[9] + C[4]) + A[8] = (A[8] + C[3]) + A[7] = (A[7] + C[2]) + A[6] = (A[6] + C[1]) + A[5] = (A[5] + C[0]) + A[4] = (A[4] + C[15]) + A[3] = (A[3] + C[14]) + A[2] = (A[2] + C[13]) + A[1] = (A[1] + C[12]) + A[0] = (A[0] + C[11]) + A[11] = (A[11] + C[10]) + A[10] = (A[10] + C[9]) + A[9] = (A[9] + C[8]) + A[8] = (A[8] + C[7]) + A[7] = (A[7] + C[6]) + A[6] = (A[6] + C[5]) + A[5] = (A[5] + C[4]) + A[4] = (A[4] + C[3]) + A[3] = (A[3] + C[2]) + A[2] = (A[2] + C[1]) + A[1] = (A[1] + C[0]) + A[0] = (A[0] + C[15]) + A[11] = (A[11] + C[14]) + A[10] = (A[10] + C[13]) + A[9] = (A[9] + C[12]) + A[8] = (A[8] + C[11]) + A[7] = (A[7] + C[10]) + A[6] = (A[6] + C[9]) + A[5] = (A[5] + C[8]) + A[4] = (A[4] + C[7]) + A[3] = (A[3] + C[6]) + A[2] = (A[2] + C[5]) + A[1] = (A[1] + C[4]) + A[0] = (A[0] + C[3]) +} + +func shabal_cal_SUB() { + for i := 0; i < 16; i++ { + C[i] = (C[i] - M[i]) + } +} + +func shabal_cal_SWAP() { + for i := 0; i < 16; i++ { + A := B[i] + B[i] = C[i] + C[i] = A + } +} + +func Shabal_512_process(data []uint8, dst []uint8, length int) { + buf = make([]uint8, 64) + C = make([]uint32, 16) + M = make([]uint32, 16) + A = make([]uint32, 12) + B = make([]uint32, 16) + + copy(A, A_init_512[:]) + copy(B, B_init_512[:]) + copy(C, C_init_512[:]) + + Wlow = 1 + Whigh = 0 + ptr = 0 + + //var clen int; + for length > 0 { + + clen := 64 - ptr + if clen > length { + clen = length + } + //memcpy(buf + ptr, data, clen); + for i := 0; i < clen; i++ { + buf[ptr+i] = data[i] + } + ptr += clen + //data = (uint8 *)data + clen; + data = data[clen:] + length -= clen + if ptr == 64 { + shabal_cal_DECODE() + + A[0] ^= Wlow + A[1] ^= Whigh + + shabal_cal_APPLY_P() + + shabal_cal_SUB() + + shabal_cal_SWAP() + + Wlow = (Wlow + 1) + + ptr = 0 + } + } + + buf[ptr] = 0x80 + for i := 0; i < 64-(ptr+1); i++ { + buf[ptr+1+i] = 0 + } + //memset(buf + ptr + 1, 0, 64 - (ptr + 1)); + + shabal_cal_DECODE() + A[0] ^= Wlow + A[1] ^= Whigh + shabal_cal_APPLY_P() + for i := 0; i < 3; i++ { + + shabal_cal_SWAP() + + A[0] ^= Wlow + A[1] ^= Whigh + + shabal_cal_APPLY_P() + + } + + for i := 0; i < 16; i++ { + binary.LittleEndian.PutUint32(dst[i*4:i*4+4], B[i]) + } +} diff --git a/crypto/x16rv3/shabal/shabal_test.go b/crypto/x16rv3/shabal/shabal_test.go new file mode 100644 index 0000000..29f8d85 --- /dev/null +++ b/crypto/x16rv3/shabal/shabal_test.go @@ -0,0 +1,32 @@ +package shabal + +import ( + "encoding/binary" + "github.com/stretchr/testify/assert" + "testing" +) + +var input = [...]uint32{ + 0x02000000, 0x8d870b41, 0x404883ac, 0x195d9920, 0x1225a41d, 0xd77969a6, 0x8374e68e, 0xc8ee7500, + 0x00000000, 0xa2123af0, 0x394e7606, 0xb5fec3cb, 0x96ddeea4, 0xd1d376ac, 0xc0daeb20, 0x2c5fc670, + 0x6c5bb067, 0xc7044a53, 0xe3e6001c, 0x00104d49} + +func TestShabal_512_process(t *testing.T) { + buf := make([]uint8, 80) + hash := make([]uint8, 64) + var hash0 uint32 + + for i := 0; i < 20; i++ { + binary.LittleEndian.PutUint32(buf[i*4:i*4+4], input[i]) + } + + Shabal_512_process(buf[:], hash, 80) + + hash0 = binary.LittleEndian.Uint32(hash) + assert.Equal(t, hash0, uint32(0x7d52bae6)) + + Shabal_512_process(buf, hash, 64) + + hash0 = binary.LittleEndian.Uint32(hash) + assert.Equal(t, hash0, uint32(0x757a0334)) +} diff --git a/crypto/x16rv3/shavite/shavite.go b/crypto/x16rv3/shavite/shavite.go new file mode 100644 index 0000000..e119934 --- /dev/null +++ b/crypto/x16rv3/shavite/shavite.go @@ -0,0 +1,373 @@ +package shavite + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/aesr" + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(128) + +type digest struct { + ptr uintptr + + h [16]uint32 + c [4]uint32 + + b [BlockSize]byte +} + +// New returns a new digest to compute a SHAVITE512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + copy(ref.h[:], kInit[:]) + ref.c[0], ref.c[1] = 0, 0 + ref.c[2], ref.c[3] = 0, 0 +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + for sln > 0 { + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + if ptr == BlockSize { + ref.c[0] += 1024 + if ref.c[0] == 0 { + ref.c[1] += 1 + if ref.c[1] == 0 { + ref.c[2] += 1 + if ref.c[2] == 0 { + ref.c[3] += 1 + } + } + } + + ref.compress() + ptr = 0 + } + } + + ref.ptr = ptr + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Shavite Close: dst min length: %d, got %d", HashSize, ln) + } + + var cnt [4]uint32 + + ptr := ref.ptr + buf := ref.b[:] + + ref.c[0] += uint32(ptr<<3) + uint32(bcnt) + cnt[0] = ref.c[0] + cnt[1] = ref.c[1] + cnt[2] = ref.c[2] + cnt[3] = ref.c[3] + + z := uint8(0x80) >> bcnt + z = uint8((bits & -z) | z) + + if (ptr == 0) && (bcnt == 0) { + buf[0] = 0x80 + memset(buf[1:110], 0) + ref.c[0], ref.c[1] = 0, 0 + ref.c[2], ref.c[3] = 0, 0 + } else if ptr < 110 { + buf[ptr] = z + ptr += 1 + memset(buf[ptr:(ptr+(110-ptr))], 0) + } else { + buf[ptr] = z + ptr += 1 + memset(buf[ptr:(ptr+(128-ptr))], 0) + + ref.compress() + memset(buf[:], 0) + ref.c[0], ref.c[1] = 0, 0 + ref.c[2], ref.c[3] = 0, 0 + } + + encUInt32le(buf[110:], cnt[0]) + encUInt32le(buf[114:], cnt[1]) + encUInt32le(buf[118:], cnt[2]) + encUInt32le(buf[122:], cnt[3]) + + buf[126] = 0 + buf[127] = 2 + + ref.compress() + + for u := uintptr(0); u < 16; u++ { + encUInt32le(dst[(u<<2):], ref.h[u]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func decUInt32le(src []byte) uint32 { + return (uint32(src[0]) | + uint32(src[1])<<8 | + uint32(src[2])<<16 | + uint32(src[3])<<24) +} + +func encUInt32le(dst []uint8, src uint32) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) +} + +func (ref *digest) compress() { + var p0, p1, p2, p3, p4, p5, p6, p7 uint32 + var p8, p9, pA, pB, pC, pD, pE, pF uint32 + var t0, t1, t2, t3 uint32 + var rk [448]uint32 + + for i := uintptr(0); i < 32; i++ { + rk[i] = decUInt32le(ref.b[(i * 4):]) + //rk[i] = decUInt32be(ref.b[(i * 4):]) + } + + idx := uintptr(32) + for idx < 448 { + for s := uintptr(0); s < 4; s++ { + t0 = rk[idx-31] + t1 = rk[idx-30] + t2 = rk[idx-29] + t3 = rk[idx-32] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + rk[idx+0] = t0 ^ rk[idx-4] + rk[idx+1] = t1 ^ rk[idx-3] + rk[idx+2] = t2 ^ rk[idx-2] + rk[idx+3] = t3 ^ rk[idx-1] + if idx == 32 { + rk[32] ^= ref.c[0] + rk[33] ^= ref.c[1] + rk[34] ^= ref.c[2] + rk[35] ^= uint32(^ref.c[3]) + } else if idx == 440 { + rk[440] ^= ref.c[1] + rk[441] ^= ref.c[0] + rk[442] ^= ref.c[3] + rk[443] ^= uint32(^ref.c[2]) + } + idx += 4 + + t0 = rk[idx-31] + t1 = rk[idx-30] + t2 = rk[idx-29] + t3 = rk[idx-32] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + rk[idx+0] = t0 ^ rk[idx-4] + rk[idx+1] = t1 ^ rk[idx-3] + rk[idx+2] = t2 ^ rk[idx-2] + rk[idx+3] = t3 ^ rk[idx-1] + if idx == 164 { + rk[164] ^= ref.c[3] + rk[165] ^= ref.c[2] + rk[166] ^= ref.c[1] + rk[167] ^= uint32(^ref.c[0]) + } else if idx == 316 { + rk[316] ^= ref.c[2] + rk[317] ^= ref.c[3] + rk[318] ^= ref.c[0] + rk[319] ^= uint32(^ref.c[1]) + } + idx += 4 + } + + if idx != 448 { + for s := uintptr(0); s < 8; s++ { + rk[idx+0] = rk[idx-32] ^ rk[idx-7] + rk[idx+1] = rk[idx-31] ^ rk[idx-6] + rk[idx+2] = rk[idx-30] ^ rk[idx-5] + rk[idx+3] = rk[idx-29] ^ rk[idx-4] + idx += 4 + } + } + } + + p0 = ref.h[0x0] + p1 = ref.h[0x1] + p2 = ref.h[0x2] + p3 = ref.h[0x3] + p4 = ref.h[0x4] + p5 = ref.h[0x5] + p6 = ref.h[0x6] + p7 = ref.h[0x7] + p8 = ref.h[0x8] + p9 = ref.h[0x9] + pA = ref.h[0xA] + pB = ref.h[0xB] + pC = ref.h[0xC] + pD = ref.h[0xD] + pE = ref.h[0xE] + pF = ref.h[0xF] + + idx = 0 + for r := uint32(0); r < 14; r++ { + t0 = p4 ^ rk[idx+0] + t1 = p5 ^ rk[idx+1] + t2 = p6 ^ rk[idx+2] + t3 = p7 ^ rk[idx+3] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + t0 ^= rk[idx+4] + t1 ^= rk[idx+5] + t2 ^= rk[idx+6] + t3 ^= rk[idx+7] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + t0 ^= rk[idx+8] + t1 ^= rk[idx+9] + t2 ^= rk[idx+10] + t3 ^= rk[idx+11] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + t0 ^= rk[idx+12] + t1 ^= rk[idx+13] + t2 ^= rk[idx+14] + t3 ^= rk[idx+15] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + p0 ^= t0 + p1 ^= t1 + p2 ^= t2 + p3 ^= t3 + + idx += 16 + + t0 = pC ^ rk[idx+0] + t1 = pD ^ rk[idx+1] + t2 = pE ^ rk[idx+2] + t3 = pF ^ rk[idx+3] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + t0 ^= rk[idx+4] + t1 ^= rk[idx+5] + t2 ^= rk[idx+6] + t3 ^= rk[idx+7] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + t0 ^= rk[idx+8] + t1 ^= rk[idx+9] + t2 ^= rk[idx+10] + t3 ^= rk[idx+11] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + t0 ^= rk[idx+12] + t1 ^= rk[idx+13] + t2 ^= rk[idx+14] + t3 ^= rk[idx+15] + t0, t1, t2, t3 = aesr.Round32sle(t0, t1, t2, t3) + p8 ^= t0 + p9 ^= t1 + pA ^= t2 + pB ^= t3 + + idx += 16 + + t0 = pC + pC = p8 + p8 = p4 + p4 = p0 + p0 = t0 + + t0 = pD + pD = p9 + p9 = p5 + p5 = p1 + p1 = t0 + + t0 = pE + pE = pA + pA = p6 + p6 = p2 + p2 = t0 + + t0 = pF + pF = pB + pB = p7 + p7 = p3 + p3 = t0 + } + + ref.h[0x0] ^= p0 + ref.h[0x1] ^= p1 + ref.h[0x2] ^= p2 + ref.h[0x3] ^= p3 + ref.h[0x4] ^= p4 + ref.h[0x5] ^= p5 + ref.h[0x6] ^= p6 + ref.h[0x7] ^= p7 + ref.h[0x8] ^= p8 + ref.h[0x9] ^= p9 + ref.h[0xA] ^= pA + ref.h[0xB] ^= pB + ref.h[0xC] ^= pC + ref.h[0xD] ^= pD + ref.h[0xE] ^= pE + ref.h[0xF] ^= pF +} + +var kInit = [16]uint32{ + uint32(0x72FCCDD8), uint32(0x79CA4727), + uint32(0x128A077B), uint32(0x40D55AEC), + uint32(0xD1901A06), uint32(0x430AE307), + uint32(0xB29F5CD1), uint32(0xDF07FBFC), + uint32(0x8E45D73D), uint32(0x681AB538), + uint32(0xBDE86578), uint32(0xDD577E47), + uint32(0xE275EADE), uint32(0x502D9FCD), + uint32(0xB9357178), uint32(0x022A4B9A), +} diff --git a/crypto/x16rv3/shavite/shavite_test.go b/crypto/x16rv3/shavite/shavite_test.go new file mode 100644 index 0000000..872f6a5 --- /dev/null +++ b/crypto/x16rv3/shavite/shavite_test.go @@ -0,0 +1,2161 @@ +package shavite + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{ + "A485C1B2578459D1EFC5DDDD840BB0B4A650AC82FE68F58C4442CCDA747DA006B2D1DC6B4A4EB7D84FF91E1F466FEF429D259ACD995DDDCAD16FA545C7A6E5BA", + "8A62A4B114E19389347E5B8B433869135CD3B035FBF6E53E481DE53878AC2EE1B476CA589B1161280D1B953E9DBC7822670A426AD84FFAA6E442046D213D94D8", + "6D76074312032C21E6AAE84D48A193F17BA09CF8AF22934140BCC4C5320EE008E976C5C0A50BDCBC659C96DE488C1E3B7C4592BC01D06769A15B8FE48C03CD70", + 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"A9C10538D1F965488E3533FA4D445101ACAB958ECE2ACB11E72E59D57669ABE773F3E0CE920357D8386B6DA80C62088C6302BD100E9E1217C30E51821C4FA614", +} diff --git a/crypto/x16rv3/simd/simd.go b/crypto/x16rv3/simd/simd.go new file mode 100644 index 0000000..08f5684 --- /dev/null +++ b/crypto/x16rv3/simd/simd.go @@ -0,0 +1,1909 @@ +package simd + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(128) + +type digest struct { + ptr uintptr + ch uint32 + cl uint32 + + h [32]uint32 + + b [BlockSize]byte +} + +// New returns a new digest to compute a SIMD512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr = 0 + ref.cl, ref.ch = 0, 0 + copy(ref.h[:], kInit[:]) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + + for sln > 0 { + cln := BlockSize - ref.ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(ref.b[ref.ptr:], src[:cln]) + src = src[cln:] + + ref.ptr += cln + if ref.ptr == BlockSize { + ref.compress(0) + ref.ptr = 0 + + ref.cl += 1 + if ref.cl == 0 { + ref.ch++ + } + } + } + + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Simd Close: dst min length: %d, got %d", HashSize, ln) + } + + if ref.ptr > 0 || bcnt > 0 { + memset(ref.b[ref.ptr:], 0) + ref.b[ref.ptr] = uint8(bits & (0xFF << (8 - bcnt))) + ref.compress(0) + } + + memset(ref.b[:], 0) + { + low := uint32(ref.cl << 10) + low += uint32(ref.ptr<<3) + uint32(bcnt) + high := uint32(ref.ch<<10) + (ref.cl >> 22) + encUInt32le(ref.b[:], low) + encUInt32le(ref.b[4:], high) + } + ref.compress(1) + + for u := int(0); u < 16; u++ { + encUInt32le(dst[(u<<2):], ref.h[u]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func decUInt32le(src []byte) uint32 { + return (uint32(src[0]) | + uint32(src[1])<<8 | + uint32(src[2])<<16 | + uint32(src[3])<<24) +} + +func encUInt32le(dst []uint8, src uint32) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) +} + +func (ref *digest) compress(last int) { + var q [256]int32 + var w [64]uint32 + var st [32]uint32 + + mixoutRound(ref.b[:], q[:], 1<<2) + mixoutRound(ref.b[2:], q[64:], 1<<2) + + { + var t int32 + var u, v uintptr + + m := q[0] + n := q[64] + q[0] = m + n + q[64] = m - n + + m = q[u+1] + n = q[u+1+64] + t = (n * kAlphaTab[v+1*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+1] = m + t + q[u+1+64] = m - t + m = q[u+2] + n = q[u+2+64] + t = (n * kAlphaTab[v+2*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+2] = m + t + q[u+2+64] = m - t + m = q[u+3] + n = q[u+3+64] + t = (n * kAlphaTab[v+3*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+3] = m + t + q[u+3+64] = m - t + + u = 4 + v = 4 * 2 + for u < 64 { + m = q[u] + n = q[u+(64)] + t = (n * kAlphaTab[v+0*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u] = m + t + q[u+(64)] = m - t + + m = q[u+1] + n = q[u+1+64] + t = (n * kAlphaTab[v+1*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+1] = m + t + q[u+1+64] = m - t + m = q[u+2] + n = q[u+2+64] + t = (n * kAlphaTab[v+2*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+2] = m + t + q[u+2+64] = m - t + m = q[u+3] + n = q[u+3+64] + t = (n * kAlphaTab[v+3*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+3] = m + t + q[u+3+64] = m - t + + u += 4 + v += 4 * 2 + } + } + + mixoutRound(ref.b[1:], q[128:], 1<<2) + mixoutRound(ref.b[3:], q[192:], 1<<2) + + { + var t int32 + var u, v uintptr + + m := q[128] + n := q[128+64] + q[128] = m + n + q[128+64] = m - n + + m = q[128+u+1] + n = q[128+u+1+64] + t = (n * kAlphaTab[v+1*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u+1] = m + t + q[128+u+1+64] = m - t + m = q[128+u+2] + n = q[128+u+2+64] + t = (n * kAlphaTab[v+2*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u+2] = m + t + q[128+u+2+64] = m - t + m = q[128+u+3] + n = q[128+u+3+64] + t = (n * kAlphaTab[v+3*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u+3] = m + t + q[128+u+3+64] = m - t + + u = 4 + v = 4 * 2 + for u < 64 { + m = q[128+u] + n = q[128+u+64] + t = (n * kAlphaTab[v+0*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u] = m + t + q[128+u+64] = m - t + + m = q[128+u+1] + n = q[128+u+1+64] + t = (n * kAlphaTab[v+1*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u+1] = m + t + q[128+u+1+64] = m - t + m = q[128+u+2] + n = q[128+u+2+64] + t = (n * kAlphaTab[v+2*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u+2] = m + t + q[128+u+2+64] = m - t + m = q[128+u+3] + n = q[128+u+3+64] + t = (n * kAlphaTab[v+3*2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[128+u+3] = m + t + q[128+u+3+64] = m - t + + u += 4 + v += 4 * 2 + } + } + + { + var t int32 + var u, v uintptr + + m := q[0] + n := q[128] + q[0] = m + n + q[128] = m - n + + m = q[u+1] + n = q[u+1+128] + t = (n * kAlphaTab[v+1]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+1] = m + t + q[u+1+128] = m - t + m = q[u+2] + n = q[u+2+128] + t = (n * kAlphaTab[v+2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+2] = m + t + q[u+2+128] = m - t + m = q[u+3] + n = q[u+3+128] + t = (n * kAlphaTab[v+3]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+3] = m + t + q[u+3+128] = m - t + + u = 4 + v = 4 + for u < 128 { + m = q[u] + n = q[u+128] + t = (n * kAlphaTab[v+0]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u] = m + t + q[u+128] = m - t + + m = q[u+1] + n = q[u+1+128] + t = (n * kAlphaTab[v+1]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+1] = m + t + q[u+1+128] = m - t + m = q[u+2] + n = q[u+2+128] + t = (n * kAlphaTab[v+2]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+2] = m + t + q[u+2+128] = m - t + m = q[u+3] + n = q[u+3+128] + t = (n * kAlphaTab[v+3]) + t = ((t) & 0xFFFF) + ((t) >> 16) + q[u+3] = m + t + q[u+3+128] = m - t + + u += 4 + v += 4 + } + } + + if last == 1 { + var tq int32 + for i := uintptr(0); i < 256; i++ { + tq = q[i] + kYOffB[i] + tq = (((tq) & 0xFFFF) + ((tq) >> 16)) + tq = (((tq) & 0xFF) - ((tq) >> 8)) + tq = (((tq) & 0xFF) - ((tq) >> 8)) + if tq <= 128 { + q[i] = tq + } else { + q[i] = tq - 257 + } + } + } else { + var tq int32 + for i := uintptr(0); i < 256; i++ { + tq = q[i] + kYOffA[i] + tq = (((tq) & 0xFFFF) + ((tq) >> 16)) + tq = (((tq) & 0xFF) - ((tq) >> 8)) + tq = (((tq) & 0xFF) - ((tq) >> 8)) + if tq <= 128 { + q[i] = tq + } else { + q[i] = tq - 257 + } + } + } + + { + b := ref.b[:] + s := ref.h[:] + for i := uintptr(0); i < 32; i += 8 { + st[i+0] = s[i+0] ^ decUInt32le(b[4*(i+0):]) + st[i+1] = s[i+1] ^ decUInt32le(b[4*(i+1):]) + st[i+2] = s[i+2] ^ decUInt32le(b[4*(i+2):]) + st[i+3] = s[i+3] ^ decUInt32le(b[4*(i+3):]) + st[i+4] = s[i+4] ^ decUInt32le(b[4*(i+4):]) + st[i+5] = s[i+5] ^ decUInt32le(b[4*(i+5):]) + st[i+6] = s[i+6] ^ decUInt32le(b[4*(i+6):]) + st[i+7] = s[i+7] ^ decUInt32le(b[4*(i+7):]) + } + } + + for u := uintptr(0); u < 64; u += 8 { + v := uintptr(wbp[(u >> 3)]) + + w[u+0] = ((uint32(q[v+2*0]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*0+1]*185) << 16)) + w[u+1] = ((uint32(q[v+2*1]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*1+1]*185) << 16)) + w[u+2] = ((uint32(q[v+2*2]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*2+1]*185) << 16)) + w[u+3] = ((uint32(q[v+2*3]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*3+1]*185) << 16)) + w[u+4] = ((uint32(q[v+2*4]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*4+1]*185) << 16)) + w[u+5] = ((uint32(q[v+2*5]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*5+1]*185) << 16)) + w[u+6] = ((uint32(q[v+2*6]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*6+1]*185) << 16)) + w[u+7] = ((uint32(q[v+2*7]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*7+1]*185) << 16)) + } + + mixinRound(st[:], w[:], 0, 3, 23, 17, 27) + + for u := uintptr(0); u < 64; u += 8 { + v := uintptr(wbp[(u>>3)+8]) + + w[u+0] = (uint32(q[v+2*0]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*0+1]*185) << 16) + w[u+1] = (uint32(q[v+2*1]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*1+1]*185) << 16) + w[u+2] = (uint32(q[v+2*2]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*2+1]*185) << 16) + w[u+3] = (uint32(q[v+2*3]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*3+1]*185) << 16) + w[u+4] = (uint32(q[v+2*4]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*4+1]*185) << 16) + w[u+5] = (uint32(q[v+2*5]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*5+1]*185) << 16) + w[u+6] = (uint32(q[v+2*6]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*6+1]*185) << 16) + w[u+7] = (uint32(q[v+2*7]*185) & uint32(0xFFFF)) + + (uint32(q[v+2*7+1]*185) << 16) + } + mixinRound(st[:], w[:], 1, 28, 19, 22, 7) + + for u := uintptr(0); u < 64; u += 8 { + v := uintptr(wbp[(u>>3)+16]) + + w[u+0] = ((uint32(q[v+2*0-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*0-128])*(233)) << 16)) + w[u+1] = ((uint32(q[v+2*1-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*1-128])*(233)) << 16)) + w[u+2] = ((uint32(q[v+2*2-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*2-128])*(233)) << 16)) + w[u+3] = ((uint32(q[v+2*3-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*3-128])*(233)) << 16)) + w[u+4] = ((uint32(q[v+2*4-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*4-128])*(233)) << 16)) + w[u+5] = ((uint32(q[v+2*5-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*5-128])*(233)) << 16)) + w[u+6] = ((uint32(q[v+2*6-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*6-128])*(233)) << 16)) + w[u+7] = ((uint32(q[v+2*7-256]*(233)) & uint32(0xFFFF)) + + (uint32((q[v+2*7-128])*(233)) << 16)) + } + mixinRound(st[:], w[:], 2, 29, 9, 15, 5) + + for u := uintptr(0); u < 64; u += 8 { + v := uintptr(wbp[(u>>3)+24]) + + w[u+0] = ((uint32(q[v+2*0-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*0-255]*233) << 16)) + w[u+1] = ((uint32(q[v+2*1-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*1-255]*233) << 16)) + w[u+2] = ((uint32(q[v+2*2-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*2-255]*233) << 16)) + w[u+3] = ((uint32(q[v+2*3-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*3-255]*233) << 16)) + w[u+4] = ((uint32(q[v+2*4-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*4-255]*233) << 16)) + w[u+5] = ((uint32(q[v+2*5-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*5-255]*233) << 16)) + w[u+6] = ((uint32(q[v+2*6-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*6-255]*233) << 16)) + w[u+7] = ((uint32(q[v+2*7-383]*233) & uint32(0xFFFF)) + + (uint32(q[v+2*7-255]*233) << 16)) + } + mixinRound(st[:], w[:], 3, 4, 13, 10, 25) + + { + var tp uint32 + var tA [8]uint32 + + sta := ref.h[:] + + tA[0] = ((st[0] << 4) | (st[0] >> (32 - 4))) + tA[1] = ((st[1] << 4) | (st[1] >> (32 - 4))) + tA[2] = ((st[2] << 4) | (st[2] >> (32 - 4))) + tA[3] = ((st[3] << 4) | (st[3] >> (32 - 4))) + tA[4] = ((st[4] << 4) | (st[4] >> (32 - 4))) + tA[5] = ((st[5] << 4) | (st[5] >> (32 - 4))) + tA[6] = ((st[6] << 4) | (st[6] >> (32 - 4))) + tA[7] = ((st[7] << 4) | (st[7] >> (32 - 4))) + + tp = uint32(st[kIdxD[0]] + sta[0] + + (((st[kIdxB[0]] ^ st[kIdxC[0]]) & st[kIdxA[0]]) ^ st[kIdxC[0]])) + st[kIdxA[0]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][0]] + st[kIdxD[0]] = st[kIdxC[0]] + st[kIdxC[0]] = st[kIdxB[0]] + st[kIdxB[0]] = tA[0] + + tp = uint32(st[kIdxD[1]] + sta[1] + + (((st[kIdxB[1]] ^ st[kIdxC[1]]) & st[kIdxA[1]]) ^ st[kIdxC[1]])) + st[kIdxA[1]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][1]] + st[kIdxD[1]] = st[kIdxC[1]] + st[kIdxC[1]] = st[kIdxB[1]] + st[kIdxB[1]] = tA[1] + + tp = uint32(st[kIdxD[2]] + sta[2] + + (((st[kIdxB[2]] ^ st[kIdxC[2]]) & st[kIdxA[2]]) ^ st[kIdxC[2]])) + st[kIdxA[2]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][2]] + st[kIdxD[2]] = st[kIdxC[2]] + st[kIdxC[2]] = st[kIdxB[2]] + st[kIdxB[2]] = tA[2] + + tp = uint32(st[kIdxD[3]] + sta[3] + + (((st[kIdxB[3]] ^ st[kIdxC[3]]) & st[kIdxA[3]]) ^ st[kIdxC[3]])) + st[kIdxA[3]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][3]] + st[kIdxD[3]] = st[kIdxC[3]] + st[kIdxC[3]] = st[kIdxB[3]] + st[kIdxB[3]] = tA[3] + + tp = uint32(st[kIdxD[4]] + sta[4] + + (((st[kIdxB[4]] ^ st[kIdxC[4]]) & st[kIdxA[4]]) ^ st[kIdxC[4]])) + st[kIdxA[4]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][4]] + st[kIdxD[4]] = st[kIdxC[4]] + st[kIdxC[4]] = st[kIdxB[4]] + st[kIdxB[4]] = tA[4] + + tp = uint32(st[kIdxD[5]] + sta[5] + + (((st[kIdxB[5]] ^ st[kIdxC[5]]) & st[kIdxA[5]]) ^ st[kIdxC[5]])) + st[kIdxA[5]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][5]] + st[kIdxD[5]] = st[kIdxC[5]] + st[kIdxC[5]] = st[kIdxB[5]] + st[kIdxB[5]] = tA[5] + + tp = uint32(st[kIdxD[6]] + sta[6] + + (((st[kIdxB[6]] ^ st[kIdxC[6]]) & st[kIdxA[6]]) ^ st[kIdxC[6]])) + st[kIdxA[6]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][6]] + st[kIdxD[6]] = st[kIdxC[6]] + st[kIdxC[6]] = st[kIdxB[6]] + st[kIdxB[6]] = tA[6] + + tp = uint32(st[kIdxD[7]] + sta[7] + + (((st[kIdxB[7]] ^ st[kIdxC[7]]) & st[kIdxA[7]]) ^ st[kIdxC[7]])) + st[kIdxA[7]] = ((tp << 13) | (tp >> (32 - 13))) + tA[kPrem[4][7]] + st[kIdxD[7]] = st[kIdxC[7]] + st[kIdxC[7]] = st[kIdxB[7]] + st[kIdxB[7]] = tA[7] + + tA[0] = ((st[0] << 13) | (st[0] >> (32 - 13))) + tA[1] = ((st[1] << 13) | (st[1] >> (32 - 13))) + tA[2] = ((st[2] << 13) | (st[2] >> (32 - 13))) + tA[3] = ((st[3] << 13) | (st[3] >> (32 - 13))) + tA[4] = ((st[4] << 13) | (st[4] >> (32 - 13))) + tA[5] = ((st[5] << 13) | (st[5] >> (32 - 13))) + tA[6] = ((st[6] << 13) | (st[6] >> (32 - 13))) + tA[7] = ((st[7] << 13) | (st[7] >> (32 - 13))) + + tp = uint32(st[kIdxD[0]] + sta[8] + + (((st[kIdxB[0]] ^ st[kIdxC[0]]) & st[kIdxA[0]]) ^ st[kIdxC[0]])) + st[kIdxA[0]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][0]] + st[kIdxD[0]] = st[kIdxC[0]] + st[kIdxC[0]] = st[kIdxB[0]] + st[kIdxB[0]] = tA[0] + + tp = uint32(st[kIdxD[1]] + sta[9] + + (((st[kIdxB[1]] ^ st[kIdxC[1]]) & st[kIdxA[1]]) ^ st[kIdxC[1]])) + st[kIdxA[1]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][1]] + st[kIdxD[1]] = st[kIdxC[1]] + st[kIdxC[1]] = st[kIdxB[1]] + st[kIdxB[1]] = tA[1] + + tp = uint32(st[kIdxD[2]] + sta[10] + + (((st[kIdxB[2]] ^ st[kIdxC[2]]) & st[kIdxA[2]]) ^ st[kIdxC[2]])) + st[kIdxA[2]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][2]] + st[kIdxD[2]] = st[kIdxC[2]] + st[kIdxC[2]] = st[kIdxB[2]] + st[kIdxB[2]] = tA[2] + + tp = uint32(st[kIdxD[3]] + sta[11] + + (((st[kIdxB[3]] ^ st[kIdxC[3]]) & st[kIdxA[3]]) ^ st[kIdxC[3]])) + st[kIdxA[3]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][3]] + st[kIdxD[3]] = st[kIdxC[3]] + st[kIdxC[3]] = st[kIdxB[3]] + st[kIdxB[3]] = tA[3] + + tp = uint32(st[kIdxD[4]] + sta[12] + + (((st[kIdxB[4]] ^ st[kIdxC[4]]) & st[kIdxA[4]]) ^ st[kIdxC[4]])) + st[kIdxA[4]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][4]] + st[kIdxD[4]] = st[kIdxC[4]] + st[kIdxC[4]] = st[kIdxB[4]] + st[kIdxB[4]] = tA[4] + + tp = uint32(st[kIdxD[5]] + sta[13] + + (((st[kIdxB[5]] ^ st[kIdxC[5]]) & st[kIdxA[5]]) ^ st[kIdxC[5]])) + st[kIdxA[5]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][5]] + st[kIdxD[5]] = st[kIdxC[5]] + st[kIdxC[5]] = st[kIdxB[5]] + st[kIdxB[5]] = tA[5] + + tp = uint32(st[kIdxD[6]] + sta[14] + + (((st[kIdxB[6]] ^ st[kIdxC[6]]) & st[kIdxA[6]]) ^ st[kIdxC[6]])) + st[kIdxA[6]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][6]] + st[kIdxD[6]] = st[kIdxC[6]] + st[kIdxC[6]] = st[kIdxB[6]] + st[kIdxB[6]] = tA[6] + + tp = uint32(st[kIdxD[7]] + sta[15] + + (((st[kIdxB[7]] ^ st[kIdxC[7]]) & st[kIdxA[7]]) ^ st[kIdxC[7]])) + st[kIdxA[7]] = ((tp << 10) | (tp >> (32 - 10))) + tA[kPrem[5][7]] + st[kIdxD[7]] = st[kIdxC[7]] + st[kIdxC[7]] = st[kIdxB[7]] + st[kIdxB[7]] = tA[7] + + tA[0] = ((st[0] << 10) | (st[0] >> (32 - 10))) + tA[1] = ((st[1] << 10) | (st[1] >> (32 - 10))) + tA[2] = ((st[2] << 10) | (st[2] >> (32 - 10))) + tA[3] = ((st[3] << 10) | (st[3] >> (32 - 10))) + tA[4] = ((st[4] << 10) | (st[4] >> (32 - 10))) + tA[5] = ((st[5] << 10) | (st[5] >> (32 - 10))) + tA[6] = ((st[6] << 10) | (st[6] >> (32 - 10))) + tA[7] = ((st[7] << 10) | (st[7] >> (32 - 10))) + + tp = uint32(st[kIdxD[0]] + sta[16] + + (((st[kIdxB[0]] ^ st[kIdxC[0]]) & st[kIdxA[0]]) ^ st[kIdxC[0]])) + st[kIdxA[0]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][0]] + st[kIdxD[0]] = st[kIdxC[0]] + st[kIdxC[0]] = st[kIdxB[0]] + st[kIdxB[0]] = tA[0] + + tp = uint32(st[kIdxD[1]] + sta[17] + + (((st[kIdxB[1]] ^ st[kIdxC[1]]) & st[kIdxA[1]]) ^ st[kIdxC[1]])) + st[kIdxA[1]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][1]] + st[kIdxD[1]] = st[kIdxC[1]] + st[kIdxC[1]] = st[kIdxB[1]] + st[kIdxB[1]] = tA[1] + + tp = uint32(st[kIdxD[2]] + sta[18] + + (((st[kIdxB[2]] ^ st[kIdxC[2]]) & st[kIdxA[2]]) ^ st[kIdxC[2]])) + st[kIdxA[2]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][2]] + st[kIdxD[2]] = st[kIdxC[2]] + st[kIdxC[2]] = st[kIdxB[2]] + st[kIdxB[2]] = tA[2] + + tp = uint32(st[kIdxD[3]] + sta[19] + + (((st[kIdxB[3]] ^ st[kIdxC[3]]) & st[kIdxA[3]]) ^ st[kIdxC[3]])) + st[kIdxA[3]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][3]] + st[kIdxD[3]] = st[kIdxC[3]] + st[kIdxC[3]] = st[kIdxB[3]] + st[kIdxB[3]] = tA[3] + + tp = uint32(st[kIdxD[4]] + sta[20] + + (((st[kIdxB[4]] ^ st[kIdxC[4]]) & st[kIdxA[4]]) ^ st[kIdxC[4]])) + st[kIdxA[4]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][4]] + st[kIdxD[4]] = st[kIdxC[4]] + st[kIdxC[4]] = st[kIdxB[4]] + st[kIdxB[4]] = tA[4] + + tp = uint32(st[kIdxD[5]] + sta[21] + + (((st[kIdxB[5]] ^ st[kIdxC[5]]) & st[kIdxA[5]]) ^ st[kIdxC[5]])) + st[kIdxA[5]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][5]] + st[kIdxD[5]] = st[kIdxC[5]] + st[kIdxC[5]] = st[kIdxB[5]] + st[kIdxB[5]] = tA[5] + + tp = uint32(st[kIdxD[6]] + sta[22] + + (((st[kIdxB[6]] ^ st[kIdxC[6]]) & st[kIdxA[6]]) ^ st[kIdxC[6]])) + st[kIdxA[6]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][6]] + st[kIdxD[6]] = st[kIdxC[6]] + st[kIdxC[6]] = st[kIdxB[6]] + st[kIdxB[6]] = tA[6] + + tp = uint32(st[kIdxD[7]] + sta[23] + + (((st[kIdxB[7]] ^ st[kIdxC[7]]) & st[kIdxA[7]]) ^ st[kIdxC[7]])) + st[kIdxA[7]] = ((tp << 25) | (tp >> (32 - 25))) + tA[kPrem[6][7]] + st[kIdxD[7]] = st[kIdxC[7]] + st[kIdxC[7]] = st[kIdxB[7]] + st[kIdxB[7]] = tA[7] + + tA[0] = ((st[0] << 25) | (st[0] >> (32 - 25))) + tA[1] = ((st[1] << 25) | (st[1] >> (32 - 25))) + tA[2] = ((st[2] << 25) | (st[2] >> (32 - 25))) + tA[3] = ((st[3] << 25) | (st[3] >> (32 - 25))) + tA[4] = ((st[4] << 25) | (st[4] >> (32 - 25))) + tA[5] = ((st[5] << 25) | (st[5] >> (32 - 25))) + tA[6] = ((st[6] << 25) | (st[6] >> (32 - 25))) + tA[7] = ((st[7] << 25) | (st[7] >> (32 - 25))) + + tp = uint32(st[kIdxD[0]] + sta[24] + + (((st[kIdxB[0]] ^ st[kIdxC[0]]) & st[kIdxA[0]]) ^ st[kIdxC[0]])) + st[kIdxA[0]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][0]] + st[kIdxD[0]] = st[kIdxC[0]] + st[kIdxC[0]] = st[kIdxB[0]] + st[kIdxB[0]] = tA[0] + + tp = uint32(st[kIdxD[1]] + sta[25] + + (((st[kIdxB[1]] ^ st[kIdxC[1]]) & st[kIdxA[1]]) ^ st[kIdxC[1]])) + st[kIdxA[1]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][1]] + st[kIdxD[1]] = st[kIdxC[1]] + st[kIdxC[1]] = st[kIdxB[1]] + st[kIdxB[1]] = tA[1] + + tp = uint32(st[kIdxD[2]] + sta[26] + + (((st[kIdxB[2]] ^ st[kIdxC[2]]) & st[kIdxA[2]]) ^ st[kIdxC[2]])) + st[kIdxA[2]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][2]] + st[kIdxD[2]] = st[kIdxC[2]] + st[kIdxC[2]] = st[kIdxB[2]] + st[kIdxB[2]] = tA[2] + + tp = uint32(st[kIdxD[3]] + sta[27] + + (((st[kIdxB[3]] ^ st[kIdxC[3]]) & st[kIdxA[3]]) ^ st[kIdxC[3]])) + st[kIdxA[3]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][3]] + st[kIdxD[3]] = st[kIdxC[3]] + st[kIdxC[3]] = st[kIdxB[3]] + st[kIdxB[3]] = tA[3] + + tp = uint32(st[kIdxD[4]] + sta[28] + + (((st[kIdxB[4]] ^ st[kIdxC[4]]) & st[kIdxA[4]]) ^ st[kIdxC[4]])) + st[kIdxA[4]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][4]] + st[kIdxD[4]] = st[kIdxC[4]] + st[kIdxC[4]] = st[kIdxB[4]] + st[kIdxB[4]] = tA[4] + + tp = uint32(st[kIdxD[5]] + sta[29] + + (((st[kIdxB[5]] ^ st[kIdxC[5]]) & st[kIdxA[5]]) ^ st[kIdxC[5]])) + st[kIdxA[5]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][5]] + st[kIdxD[5]] = st[kIdxC[5]] + st[kIdxC[5]] = st[kIdxB[5]] + st[kIdxB[5]] = tA[5] + + tp = uint32(st[kIdxD[6]] + sta[30] + + (((st[kIdxB[6]] ^ st[kIdxC[6]]) & st[kIdxA[6]]) ^ st[kIdxC[6]])) + st[kIdxA[6]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][6]] + st[kIdxD[6]] = st[kIdxC[6]] + st[kIdxC[6]] = st[kIdxB[6]] + st[kIdxB[6]] = tA[6] + + tp = uint32(st[kIdxD[7]] + sta[31] + + (((st[kIdxB[7]] ^ st[kIdxC[7]]) & st[kIdxA[7]]) ^ st[kIdxC[7]])) + st[kIdxA[7]] = ((tp << 4) | (tp >> (32 - 4))) + tA[kPrem[0][7]] + st[kIdxD[7]] = st[kIdxC[7]] + st[kIdxC[7]] = st[kIdxB[7]] + st[kIdxB[7]] = tA[7] + } + + copy(ref.h[:], st[:]) +} + +func mixoutRound(x []uint8, q []int32, xt uintptr) { + var tx int32 + var d1_0, d1_1, d1_2, d1_3, d1_4, d1_5, d1_6, d1_7 int32 + var d2_0, d2_1, d2_2, d2_3, d2_4, d2_5, d2_6, d2_7 int32 + + xd := xt << 1 + + { + var sa, sb uintptr + var x0, x1, x2, x3 int32 + var a0, a1, a2, a3 int32 + var b0, b1, b2, b3 int32 + + sb = xd << 2 + + x0 = int32(x[0]) + x1 = int32(x[sb]) + x2 = int32(x[2*sb]) + x3 = int32(x[3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d1_0 = a0 + b0 + d1_1 = a1 + b1 + d1_2 = a2 + b2 + d1_3 = a3 + b3 + d1_4 = a0 - b0 + d1_5 = a1 - b1 + d1_6 = a2 - b2 + d1_7 = a3 - b3 + + sa = xd << 1 + sb = xd << 2 + + x0 = int32(x[sa]) + x1 = int32(x[sa+sb]) + x2 = int32(x[sa+2*sb]) + x3 = int32(x[sa+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d2_0 = a0 + b0 + d2_1 = a1 + b1 + d2_2 = a2 + b2 + d2_3 = a3 + b3 + d2_4 = a0 - b0 + d2_5 = a1 - b1 + d2_6 = a2 - b2 + d2_7 = a3 - b3 + } + + q[0] = d1_0 + d2_0 + q[1] = d1_1 + (d2_1 << 1) + q[2] = d1_2 + (d2_2 << 2) + q[3] = d1_3 + (d2_3 << 3) + q[4] = d1_4 + (d2_4 << 4) + q[5] = d1_5 + (d2_5 << 5) + q[6] = d1_6 + (d2_6 << 6) + q[7] = d1_7 + (d2_7 << 7) + q[8] = d1_0 - d2_0 + q[9] = d1_1 - (d2_1 << 1) + q[10] = d1_2 - (d2_2 << 2) + q[11] = d1_3 - (d2_3 << 3) + q[12] = d1_4 - (d2_4 << 4) + q[13] = d1_5 - (d2_5 << 5) + q[14] = d1_6 - (d2_6 << 6) + q[15] = d1_7 - (d2_7 << 7) + + { + var sa, sb uintptr + var x0, x1, x2, x3 int32 + var a0, a1, a2, a3 int32 + var b0, b1, b2, b3 int32 + + sb = xd << 2 + + x0 = int32(x[(xd)]) + x1 = int32(x[(xd)+sb]) + x2 = int32(x[(xd)+2*sb]) + x3 = int32(x[(xd)+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d1_0 = a0 + b0 + d1_1 = a1 + b1 + d1_2 = a2 + b2 + d1_3 = a3 + b3 + d1_4 = a0 - b0 + d1_5 = a1 - b1 + d1_6 = a2 - b2 + d1_7 = a3 - b3 + + sa = xd + (xd << 1) + sb = xd << 2 + + x0 = int32(x[sa]) + x1 = int32(x[sa+sb]) + x2 = int32(x[sa+2*sb]) + x3 = int32(x[sa+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d2_0 = a0 + b0 + d2_1 = a1 + b1 + d2_2 = a2 + b2 + d2_3 = a3 + b3 + d2_4 = a0 - b0 + d2_5 = a1 - b1 + d2_6 = a2 - b2 + d2_7 = a3 - b3 + } + + q[16+0] = d1_0 + d2_0 + q[16+1] = d1_1 + (d2_1 << 1) + q[16+2] = d1_2 + (d2_2 << 2) + q[16+3] = d1_3 + (d2_3 << 3) + q[16+4] = d1_4 + (d2_4 << 4) + q[16+5] = d1_5 + (d2_5 << 5) + q[16+6] = d1_6 + (d2_6 << 6) + q[16+7] = d1_7 + (d2_7 << 7) + q[16+8] = d1_0 - d2_0 + q[16+9] = d1_1 - (d2_1 << 1) + q[16+10] = d1_2 - (d2_2 << 2) + q[16+11] = d1_3 - (d2_3 << 3) + q[16+12] = d1_4 - (d2_4 << 4) + q[16+13] = d1_5 - (d2_5 << 5) + q[16+14] = d1_6 - (d2_6 << 6) + q[16+15] = d1_7 - (d2_7 << 7) + + { + var u, v uintptr + + m := q[0] + n := q[16] + q[0] = m + n + q[16] = m - n + + m = q[u+1] + n = q[u+1+16] + tx = (n * kAlphaTab[v+1*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+1] = m + tx + q[u+1+16] = m - tx + m = q[u+2] + n = q[u+2+16] + tx = (n * kAlphaTab[v+2*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+2] = m + tx + q[u+2+16] = m - tx + m = q[u+3] + n = q[u+3+16] + tx = (n * kAlphaTab[v+3*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+3] = m + tx + q[u+3+16] = m - tx + + for u < 16 { + u += 4 + v += 4 * 8 + + m = q[u+0] + n = q[u+0+16] + tx = (n * kAlphaTab[v+0*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+0] = m + tx + q[u+0+16] = m - tx + + m = q[u+1] + n = q[u+1+16] + tx = (n * kAlphaTab[v+1*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+1] = m + tx + q[u+1+16] = m - tx + m = q[u+2] + n = q[u+2+16] + tx = (n * kAlphaTab[v+2*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+2] = m + tx + q[u+2+16] = m - tx + m = q[u+3] + n = q[u+3+16] + tx = (n * kAlphaTab[v+3*8]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+3] = m + tx + q[u+3+16] = m - tx + } + } + + { + var sa, sb uintptr + var x0, x1, x2, x3 int32 + var a0, a1, a2, a3 int32 + var b0, b1, b2, b3 int32 + + sb = uintptr(xd << 2) + + x0 = int32(x[xt]) + x1 = int32(x[xt+sb]) + x2 = int32(x[xt+2*sb]) + x3 = int32(x[xt+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d1_0 = a0 + b0 + d1_1 = a1 + b1 + d1_2 = a2 + b2 + d1_3 = a3 + b3 + d1_4 = a0 - b0 + d1_5 = a1 - b1 + d1_6 = a2 - b2 + d1_7 = a3 - b3 + + sa = xt + (xd << 1) + sb = xd << 2 + + x0 = int32(x[sa]) + x1 = int32(x[sa+sb]) + x2 = int32(x[sa+2*sb]) + x3 = int32(x[sa+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d2_0 = a0 + b0 + d2_1 = a1 + b1 + d2_2 = a2 + b2 + d2_3 = a3 + b3 + d2_4 = a0 - b0 + d2_5 = a1 - b1 + d2_6 = a2 - b2 + d2_7 = a3 - b3 + } + + q[32+0] = d1_0 + d2_0 + q[32+1] = d1_1 + (d2_1 << 1) + q[32+2] = d1_2 + (d2_2 << 2) + q[32+3] = d1_3 + (d2_3 << 3) + q[32+4] = d1_4 + (d2_4 << 4) + q[32+5] = d1_5 + (d2_5 << 5) + q[32+6] = d1_6 + (d2_6 << 6) + q[32+7] = d1_7 + (d2_7 << 7) + q[32+8] = d1_0 - d2_0 + q[32+9] = d1_1 - (d2_1 << 1) + q[32+10] = d1_2 - (d2_2 << 2) + q[32+11] = d1_3 - (d2_3 << 3) + q[32+12] = d1_4 - (d2_4 << 4) + q[32+13] = d1_5 - (d2_5 << 5) + q[32+14] = d1_6 - (d2_6 << 6) + q[32+15] = d1_7 - (d2_7 << 7) + + { + var sa, sb uintptr + var x0, x1, x2, x3 int32 + var a0, a1, a2, a3 int32 + var b0, b1, b2, b3 int32 + + sa = (xt) + (xd) + sb = xd << 2 + + x0 = int32(x[sa]) + x1 = int32(x[sa+sb]) + x2 = int32(x[sa+2*sb]) + x3 = int32(x[sa+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d1_0 = a0 + b0 + d1_1 = a1 + b1 + d1_2 = a2 + b2 + d1_3 = a3 + b3 + d1_4 = a0 - b0 + d1_5 = a1 - b1 + d1_6 = a2 - b2 + d1_7 = a3 - b3 + + sa = (xt + xd) + (xd << 1) + sb = xd << 2 + + x0 = int32(x[sa]) + x1 = int32(x[sa+sb]) + x2 = int32(x[sa+2*sb]) + x3 = int32(x[sa+3*sb]) + + a0 = x0 + x2 + a1 = x0 + (x2 << 4) + a2 = x0 - x2 + a3 = x0 - (x2 << 4) + + b0 = x1 + x3 + tx = ((x1 << 2) + (x3 << 6)) + b1 = ((tx & 0xFF) - (tx >> 8)) + b2 = (x1 << 4) - (x3 << 4) + tx = (x1 << 6) + (x3 << 2) + b3 = ((tx & 0xFF) - (tx >> 8)) + + d2_0 = a0 + b0 + d2_1 = a1 + b1 + d2_2 = a2 + b2 + d2_3 = a3 + b3 + d2_4 = a0 - b0 + d2_5 = a1 - b1 + d2_6 = a2 - b2 + d2_7 = a3 - b3 + } + + q[48+0] = d1_0 + d2_0 + q[48+1] = d1_1 + (d2_1 << 1) + q[48+2] = d1_2 + (d2_2 << 2) + q[48+3] = d1_3 + (d2_3 << 3) + q[48+4] = d1_4 + (d2_4 << 4) + q[48+5] = d1_5 + (d2_5 << 5) + q[48+6] = d1_6 + (d2_6 << 6) + q[48+7] = d1_7 + (d2_7 << 7) + q[48+8] = d1_0 - d2_0 + q[48+9] = d1_1 - (d2_1 << 1) + q[48+10] = d1_2 - (d2_2 << 2) + q[48+11] = d1_3 - (d2_3 << 3) + q[48+12] = d1_4 - (d2_4 << 4) + q[48+13] = d1_5 - (d2_5 << 5) + q[48+14] = d1_6 - (d2_6 << 6) + q[48+15] = d1_7 - (d2_7 << 7) + + { + var u, v uintptr + + m := q[(32)] + n := q[(32)+(16)] + q[(32)] = m + n + q[(32)+(16)] = m - n + + m = q[(32)+u+1] + n = q[(32)+u+1+(16)] + tx = (n * kAlphaTab[v+1*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+1] = m + tx + q[(32)+u+1+(16)] = m - tx + m = q[(32)+u+2] + n = q[(32)+u+2+(16)] + tx = (n * kAlphaTab[v+2*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+2] = m + tx + q[(32)+u+2+(16)] = m - tx + m = q[(32)+u+3] + n = q[(32)+u+3+(16)] + tx = (n * kAlphaTab[v+3*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+3] = m + tx + q[(32)+u+3+(16)] = m - tx + + u = 4 + v = 4 * (8) + for u < 16 { + m = q[(32)+u] + n = q[(32)+u+(16)] + tx = (n * kAlphaTab[v+0*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+0] = m + tx + q[(32)+u+0+(16)] = m - tx + + m = q[(32)+u+1] + n = q[(32)+u+1+(16)] + tx = (n * kAlphaTab[v+1*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+1] = m + tx + q[(32)+u+1+(16)] = m - tx + m = q[(32)+u+2] + n = q[(32)+u+2+(16)] + tx = (n * kAlphaTab[v+2*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+2] = m + tx + q[(32)+u+2+(16)] = m - tx + m = q[(32)+u+3] + n = q[(32)+u+3+(16)] + tx = (n * kAlphaTab[v+3*(8)]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[(32)+u+3] = m + tx + q[(32)+u+3+(16)] = m - tx + + u += 4 + v += 4 * (8) + } + } + + { + var u, v uintptr + + m := q[0] + n := q[32] + q[0] = m + n + q[32] = m - n + + m = q[u+1] + n = q[u+1+32] + tx = (n * kAlphaTab[v+1*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+1] = m + tx + q[u+1+32] = m - tx + m = q[u+2] + n = q[u+2+32] + tx = (n * kAlphaTab[v+2*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+2] = m + tx + q[u+2+32] = m - tx + m = q[u+3] + n = q[u+3+32] + tx = (n * kAlphaTab[v+3*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+3] = m + tx + q[u+3+32] = m - tx + + u = 4 + v = 4 * 4 + for u < 32 { + m = q[u] + n = q[u+32] + tx = (n * kAlphaTab[v+0*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u] = m + tx + q[u+(32)] = m - tx + + m = q[u+1] + n = q[u+1+32] + tx = (n * kAlphaTab[v+1*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+1] = m + tx + q[u+1+32] = m - tx + m = q[u+2] + n = q[u+2+32] + tx = (n * kAlphaTab[v+2*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+2] = m + tx + q[u+2+32] = m - tx + m = q[u+3] + n = q[u+3+32] + tx = (n * kAlphaTab[v+3*4]) + tx = ((tx & 0xFFFF) + (tx >> 16)) + q[u+3] = m + tx + q[u+3+32] = m - tx + + u += 4 + v += 4 * 4 + } + } +} + +func mixinRound(h, w []uint32, isp, p0, p1, p2, p3 uint32) { + var tA [8]uint32 + var tp uint32 + + tA[0] = ((h[0] << p0) | (h[0] >> (32 - p0))) + tA[1] = ((h[1] << p0) | (h[1] >> (32 - p0))) + tA[2] = ((h[2] << p0) | (h[2] >> (32 - p0))) + tA[3] = ((h[3] << p0) | (h[3] >> (32 - p0))) + tA[4] = ((h[4] << p0) | (h[4] >> (32 - p0))) + tA[5] = ((h[5] << p0) | (h[5] >> (32 - p0))) + tA[6] = ((h[6] << p0) | (h[6] >> (32 - p0))) + tA[7] = ((h[7] << p0) | (h[7] >> (32 - p0))) + + tp = uint32(h[kIdxD[0]] + w[0] + + (((h[kIdxB[0]] ^ h[kIdxC[0]]) & h[kIdxA[0]]) ^ h[kIdxC[0]])) + h[kIdxA[0]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[1] + + (((h[kIdxB[1]] ^ h[kIdxC[1]]) & h[kIdxA[1]]) ^ h[kIdxC[1]])) + h[kIdxA[1]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[2] + + (((h[kIdxB[2]] ^ h[kIdxC[2]]) & h[kIdxA[2]]) ^ h[kIdxC[2]])) + h[kIdxA[2]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[3] + + (((h[kIdxB[3]] ^ h[kIdxC[3]]) & h[kIdxA[3]]) ^ h[kIdxC[3]])) + h[kIdxA[3]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[4] + + (((h[kIdxB[4]] ^ h[kIdxC[4]]) & h[kIdxA[4]]) ^ h[kIdxC[4]])) + h[kIdxA[4]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[5] + + (((h[kIdxB[5]] ^ h[kIdxC[5]]) & h[kIdxA[5]]) ^ h[kIdxC[5]])) + h[kIdxA[5]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[6] + + (((h[kIdxB[6]] ^ h[kIdxC[6]]) & h[kIdxA[6]]) ^ h[kIdxC[6]])) + h[kIdxA[6]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[7] + + (((h[kIdxB[7]] ^ h[kIdxC[7]]) & h[kIdxA[7]]) ^ h[kIdxC[7]])) + h[kIdxA[7]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p1) | (h[0] >> (32 - p1))) + tA[1] = ((h[1] << p1) | (h[1] >> (32 - p1))) + tA[2] = ((h[2] << p1) | (h[2] >> (32 - p1))) + tA[3] = ((h[3] << p1) | (h[3] >> (32 - p1))) + tA[4] = ((h[4] << p1) | (h[4] >> (32 - p1))) + tA[5] = ((h[5] << p1) | (h[5] >> (32 - p1))) + tA[6] = ((h[6] << p1) | (h[6] >> (32 - p1))) + tA[7] = ((h[7] << p1) | (h[7] >> (32 - p1))) + + tp = uint32(h[kIdxD[0]] + w[8] + + (((h[kIdxB[0]] ^ h[kIdxC[0]]) & h[kIdxA[0]]) ^ h[kIdxC[0]])) + h[kIdxA[0]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[9] + + (((h[kIdxB[1]] ^ h[kIdxC[1]]) & h[kIdxA[1]]) ^ h[kIdxC[1]])) + h[kIdxA[1]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[10] + + (((h[kIdxB[2]] ^ h[kIdxC[2]]) & h[kIdxA[2]]) ^ h[kIdxC[2]])) + h[kIdxA[2]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[11] + + (((h[kIdxB[3]] ^ h[kIdxC[3]]) & h[kIdxA[3]]) ^ h[kIdxC[3]])) + h[kIdxA[3]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[12] + + (((h[kIdxB[4]] ^ h[kIdxC[4]]) & h[kIdxA[4]]) ^ h[kIdxC[4]])) + h[kIdxA[4]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[13] + + (((h[kIdxB[5]] ^ h[kIdxC[5]]) & h[kIdxA[5]]) ^ h[kIdxC[5]])) + h[kIdxA[5]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[14] + + (((h[kIdxB[6]] ^ h[kIdxC[6]]) & h[kIdxA[6]]) ^ h[kIdxC[6]])) + h[kIdxA[6]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[15] + + (((h[kIdxB[7]] ^ h[kIdxC[7]]) & h[kIdxA[7]]) ^ h[kIdxC[7]])) + h[kIdxA[7]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+1]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p2) | (h[0] >> (32 - p2))) + tA[1] = ((h[1] << p2) | (h[1] >> (32 - p2))) + tA[2] = ((h[2] << p2) | (h[2] >> (32 - p2))) + tA[3] = ((h[3] << p2) | (h[3] >> (32 - p2))) + tA[4] = ((h[4] << p2) | (h[4] >> (32 - p2))) + tA[5] = ((h[5] << p2) | (h[5] >> (32 - p2))) + tA[6] = ((h[6] << p2) | (h[6] >> (32 - p2))) + tA[7] = ((h[7] << p2) | (h[7] >> (32 - p2))) + + tp = uint32(h[kIdxD[0]] + w[16] + + (((h[kIdxB[0]] ^ h[kIdxC[0]]) & h[kIdxA[0]]) ^ h[kIdxC[0]])) + h[kIdxA[0]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[17] + + (((h[kIdxB[1]] ^ h[kIdxC[1]]) & h[kIdxA[1]]) ^ h[kIdxC[1]])) + h[kIdxA[1]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[18] + + (((h[kIdxB[2]] ^ h[kIdxC[2]]) & h[kIdxA[2]]) ^ h[kIdxC[2]])) + h[kIdxA[2]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[19] + + (((h[kIdxB[3]] ^ h[kIdxC[3]]) & h[kIdxA[3]]) ^ h[kIdxC[3]])) + h[kIdxA[3]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[20] + + (((h[kIdxB[4]] ^ h[kIdxC[4]]) & h[kIdxA[4]]) ^ h[kIdxC[4]])) + h[kIdxA[4]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[21] + + (((h[kIdxB[5]] ^ h[kIdxC[5]]) & h[kIdxA[5]]) ^ h[kIdxC[5]])) + h[kIdxA[5]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[22] + + (((h[kIdxB[6]] ^ h[kIdxC[6]]) & h[kIdxA[6]]) ^ h[kIdxC[6]])) + h[kIdxA[6]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[23] + + (((h[kIdxB[7]] ^ h[kIdxC[7]]) & h[kIdxA[7]]) ^ h[kIdxC[7]])) + h[kIdxA[7]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+2]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p3) | (h[0] >> (32 - p3))) + tA[1] = ((h[1] << p3) | (h[1] >> (32 - p3))) + tA[2] = ((h[2] << p3) | (h[2] >> (32 - p3))) + tA[3] = ((h[3] << p3) | (h[3] >> (32 - p3))) + tA[4] = ((h[4] << p3) | (h[4] >> (32 - p3))) + tA[5] = ((h[5] << p3) | (h[5] >> (32 - p3))) + tA[6] = ((h[6] << p3) | (h[6] >> (32 - p3))) + tA[7] = ((h[7] << p3) | (h[7] >> (32 - p3))) + + tp = uint32(h[kIdxD[0]] + w[24] + + (((h[kIdxB[0]] ^ h[kIdxC[0]]) & h[kIdxA[0]]) ^ h[kIdxC[0]])) + h[kIdxA[0]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[25] + + (((h[kIdxB[1]] ^ h[kIdxC[1]]) & h[kIdxA[1]]) ^ h[kIdxC[1]])) + h[kIdxA[1]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[26] + + (((h[kIdxB[2]] ^ h[kIdxC[2]]) & h[kIdxA[2]]) ^ h[kIdxC[2]])) + h[kIdxA[2]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[27] + + (((h[kIdxB[3]] ^ h[kIdxC[3]]) & h[kIdxA[3]]) ^ h[kIdxC[3]])) + h[kIdxA[3]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[28] + + (((h[kIdxB[4]] ^ h[kIdxC[4]]) & h[kIdxA[4]]) ^ h[kIdxC[4]])) + h[kIdxA[4]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[29] + + (((h[kIdxB[5]] ^ h[kIdxC[5]]) & h[kIdxA[5]]) ^ h[kIdxC[5]])) + h[kIdxA[5]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[30] + + (((h[kIdxB[6]] ^ h[kIdxC[6]]) & h[kIdxA[6]]) ^ h[kIdxC[6]])) + h[kIdxA[6]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[31] + + (((h[kIdxB[7]] ^ h[kIdxC[7]]) & h[kIdxA[7]]) ^ h[kIdxC[7]])) + h[kIdxA[7]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+3]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p0) | (h[0] >> (32 - p0))) + tA[1] = ((h[1] << p0) | (h[1] >> (32 - p0))) + tA[2] = ((h[2] << p0) | (h[2] >> (32 - p0))) + tA[3] = ((h[3] << p0) | (h[3] >> (32 - p0))) + tA[4] = ((h[4] << p0) | (h[4] >> (32 - p0))) + tA[5] = ((h[5] << p0) | (h[5] >> (32 - p0))) + tA[6] = ((h[6] << p0) | (h[6] >> (32 - p0))) + tA[7] = ((h[7] << p0) | (h[7] >> (32 - p0))) + + tp = uint32(h[kIdxD[0]] + w[32] + + ((h[kIdxA[0]] & h[kIdxB[0]]) | ((h[kIdxA[0]] | h[kIdxB[0]]) & h[kIdxC[0]]))) + h[kIdxA[0]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[33] + + ((h[kIdxA[1]] & h[kIdxB[1]]) | ((h[kIdxA[1]] | h[kIdxB[1]]) & h[kIdxC[1]]))) + h[kIdxA[1]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[34] + + ((h[kIdxA[2]] & h[kIdxB[2]]) | ((h[kIdxA[2]] | h[kIdxB[2]]) & h[kIdxC[2]]))) + h[kIdxA[2]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[35] + + ((h[kIdxA[3]] & h[kIdxB[3]]) | ((h[kIdxA[3]] | h[kIdxB[3]]) & h[kIdxC[3]]))) + h[kIdxA[3]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[36] + + ((h[kIdxA[4]] & h[kIdxB[4]]) | ((h[kIdxA[4]] | h[kIdxB[4]]) & h[kIdxC[4]]))) + h[kIdxA[4]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[37] + + ((h[kIdxA[5]] & h[kIdxB[5]]) | ((h[kIdxA[5]] | h[kIdxB[5]]) & h[kIdxC[5]]))) + h[kIdxA[5]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[38] + + ((h[kIdxA[6]] & h[kIdxB[6]]) | ((h[kIdxA[6]] | h[kIdxB[6]]) & h[kIdxC[6]]))) + h[kIdxA[6]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[39] + + ((h[kIdxA[7]] & h[kIdxB[7]]) | ((h[kIdxA[7]] | h[kIdxB[7]]) & h[kIdxC[7]]))) + h[kIdxA[7]] = ((tp << p1) | (tp >> (32 - p1))) + tA[kPrems[isp+4]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p1) | (h[0] >> (32 - p1))) + tA[1] = ((h[1] << p1) | (h[1] >> (32 - p1))) + tA[2] = ((h[2] << p1) | (h[2] >> (32 - p1))) + tA[3] = ((h[3] << p1) | (h[3] >> (32 - p1))) + tA[4] = ((h[4] << p1) | (h[4] >> (32 - p1))) + tA[5] = ((h[5] << p1) | (h[5] >> (32 - p1))) + tA[6] = ((h[6] << p1) | (h[6] >> (32 - p1))) + tA[7] = ((h[7] << p1) | (h[7] >> (32 - p1))) + + tp = uint32(h[kIdxD[0]] + w[40] + + ((h[kIdxA[0]] & h[kIdxB[0]]) | ((h[kIdxA[0]] | h[kIdxB[0]]) & h[kIdxC[0]]))) + h[kIdxA[0]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[41] + + ((h[kIdxA[1]] & h[kIdxB[1]]) | ((h[kIdxA[1]] | h[kIdxB[1]]) & h[kIdxC[1]]))) + h[kIdxA[1]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[42] + + ((h[kIdxA[2]] & h[kIdxB[2]]) | ((h[kIdxA[2]] | h[kIdxB[2]]) & h[kIdxC[2]]))) + h[kIdxA[2]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[43] + + ((h[kIdxA[3]] & h[kIdxB[3]]) | ((h[kIdxA[3]] | h[kIdxB[3]]) & h[kIdxC[3]]))) + h[kIdxA[3]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[44] + + ((h[kIdxA[4]] & h[kIdxB[4]]) | ((h[kIdxA[4]] | h[kIdxB[4]]) & h[kIdxC[4]]))) + h[kIdxA[4]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[45] + + ((h[kIdxA[5]] & h[kIdxB[5]]) | ((h[kIdxA[5]] | h[kIdxB[5]]) & h[kIdxC[5]]))) + h[kIdxA[5]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[46] + + ((h[kIdxA[6]] & h[kIdxB[6]]) | ((h[kIdxA[6]] | h[kIdxB[6]]) & h[kIdxC[6]]))) + h[kIdxA[6]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[47] + + ((h[kIdxA[7]] & h[kIdxB[7]]) | ((h[kIdxA[7]] | h[kIdxB[7]]) & h[kIdxC[7]]))) + h[kIdxA[7]] = ((tp << p2) | (tp >> (32 - p2))) + tA[kPrems[isp+5]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p2) | (h[0] >> (32 - p2))) + tA[1] = ((h[1] << p2) | (h[1] >> (32 - p2))) + tA[2] = ((h[2] << p2) | (h[2] >> (32 - p2))) + tA[3] = ((h[3] << p2) | (h[3] >> (32 - p2))) + tA[4] = ((h[4] << p2) | (h[4] >> (32 - p2))) + tA[5] = ((h[5] << p2) | (h[5] >> (32 - p2))) + tA[6] = ((h[6] << p2) | (h[6] >> (32 - p2))) + tA[7] = ((h[7] << p2) | (h[7] >> (32 - p2))) + + tp = uint32(h[kIdxD[0]] + w[48] + + ((h[kIdxA[0]] & h[kIdxB[0]]) | ((h[kIdxA[0]] | h[kIdxB[0]]) & h[kIdxC[0]]))) + h[kIdxA[0]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[49] + + ((h[kIdxA[1]] & h[kIdxB[1]]) | ((h[kIdxA[1]] | h[kIdxB[1]]) & h[kIdxC[1]]))) + h[kIdxA[1]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[50] + + ((h[kIdxA[2]] & h[kIdxB[2]]) | ((h[kIdxA[2]] | h[kIdxB[2]]) & h[kIdxC[2]]))) + h[kIdxA[2]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[51] + + ((h[kIdxA[3]] & h[kIdxB[3]]) | ((h[kIdxA[3]] | h[kIdxB[3]]) & h[kIdxC[3]]))) + h[kIdxA[3]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[52] + + ((h[kIdxA[4]] & h[kIdxB[4]]) | ((h[kIdxA[4]] | h[kIdxB[4]]) & h[kIdxC[4]]))) + h[kIdxA[4]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[53] + + ((h[kIdxA[5]] & h[kIdxB[5]]) | ((h[kIdxA[5]] | h[kIdxB[5]]) & h[kIdxC[5]]))) + h[kIdxA[5]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[54] + + ((h[kIdxA[6]] & h[kIdxB[6]]) | ((h[kIdxA[6]] | h[kIdxB[6]]) & h[kIdxC[6]]))) + h[kIdxA[6]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[55] + + ((h[kIdxA[7]] & h[kIdxB[7]]) | ((h[kIdxA[7]] | h[kIdxB[7]]) & h[kIdxC[7]]))) + h[kIdxA[7]] = ((tp << p3) | (tp >> (32 - p3))) + tA[kPrems[isp+6]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] + + tA[0] = ((h[0] << p3) | (h[0] >> (32 - p3))) + tA[1] = ((h[1] << p3) | (h[1] >> (32 - p3))) + tA[2] = ((h[2] << p3) | (h[2] >> (32 - p3))) + tA[3] = ((h[3] << p3) | (h[3] >> (32 - p3))) + tA[4] = ((h[4] << p3) | (h[4] >> (32 - p3))) + tA[5] = ((h[5] << p3) | (h[5] >> (32 - p3))) + tA[6] = ((h[6] << p3) | (h[6] >> (32 - p3))) + tA[7] = ((h[7] << p3) | (h[7] >> (32 - p3))) + + tp = uint32(h[kIdxD[0]] + w[56] + + ((h[kIdxA[0]] & h[kIdxB[0]]) | ((h[kIdxA[0]] | h[kIdxB[0]]) & h[kIdxC[0]]))) + h[kIdxA[0]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]] + h[kIdxD[0]] = h[kIdxC[0]] + h[kIdxC[0]] = h[kIdxB[0]] + h[kIdxB[0]] = tA[0] + + tp = uint32(h[kIdxD[1]] + w[57] + + ((h[kIdxA[1]] & h[kIdxB[1]]) | ((h[kIdxA[1]] | h[kIdxB[1]]) & h[kIdxC[1]]))) + h[kIdxA[1]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^1] + h[kIdxD[1]] = h[kIdxC[1]] + h[kIdxC[1]] = h[kIdxB[1]] + h[kIdxB[1]] = tA[1] + + tp = uint32(h[kIdxD[2]] + w[58] + + ((h[kIdxA[2]] & h[kIdxB[2]]) | ((h[kIdxA[2]] | h[kIdxB[2]]) & h[kIdxC[2]]))) + h[kIdxA[2]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^2] + h[kIdxD[2]] = h[kIdxC[2]] + h[kIdxC[2]] = h[kIdxB[2]] + h[kIdxB[2]] = tA[2] + + tp = uint32(h[kIdxD[3]] + w[59] + + ((h[kIdxA[3]] & h[kIdxB[3]]) | ((h[kIdxA[3]] | h[kIdxB[3]]) & h[kIdxC[3]]))) + h[kIdxA[3]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^3] + h[kIdxD[3]] = h[kIdxC[3]] + h[kIdxC[3]] = h[kIdxB[3]] + h[kIdxB[3]] = tA[3] + + tp = uint32(h[kIdxD[4]] + w[60] + + ((h[kIdxA[4]] & h[kIdxB[4]]) | ((h[kIdxA[4]] | h[kIdxB[4]]) & h[kIdxC[4]]))) + h[kIdxA[4]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^4] + h[kIdxD[4]] = h[kIdxC[4]] + h[kIdxC[4]] = h[kIdxB[4]] + h[kIdxB[4]] = tA[4] + + tp = uint32(h[kIdxD[5]] + w[61] + + ((h[kIdxA[5]] & h[kIdxB[5]]) | ((h[kIdxA[5]] | h[kIdxB[5]]) & h[kIdxC[5]]))) + h[kIdxA[5]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^5] + h[kIdxD[5]] = h[kIdxC[5]] + h[kIdxC[5]] = h[kIdxB[5]] + h[kIdxB[5]] = tA[5] + + tp = uint32(h[kIdxD[6]] + w[62] + + ((h[kIdxA[6]] & h[kIdxB[6]]) | ((h[kIdxA[6]] | h[kIdxB[6]]) & h[kIdxC[6]]))) + h[kIdxA[6]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^6] + h[kIdxD[6]] = h[kIdxC[6]] + h[kIdxC[6]] = h[kIdxB[6]] + h[kIdxB[6]] = tA[6] + + tp = uint32(h[kIdxD[7]] + w[63] + + ((h[kIdxA[7]] & h[kIdxB[7]]) | ((h[kIdxA[7]] | h[kIdxB[7]]) & h[kIdxC[7]]))) + h[kIdxA[7]] = ((tp << p0) | (tp >> (32 - p0))) + tA[kPrems[isp+7]^7] + h[kIdxD[7]] = h[kIdxC[7]] + h[kIdxC[7]] = h[kIdxB[7]] + h[kIdxB[7]] = tA[7] +} + +var kInit = []uint32{ + uint32(0x0BA16B95), uint32(0x72F999AD), + uint32(0x9FECC2AE), uint32(0xBA3264FC), + uint32(0x5E894929), uint32(0x8E9F30E5), + uint32(0x2F1DAA37), uint32(0xF0F2C558), + uint32(0xAC506643), uint32(0xA90635A5), + uint32(0xE25B878B), uint32(0xAAB7878F), + uint32(0x88817F7A), uint32(0x0A02892B), + uint32(0x559A7550), uint32(0x598F657E), + uint32(0x7EEF60A1), uint32(0x6B70E3E8), + uint32(0x9C1714D1), uint32(0xB958E2A8), + uint32(0xAB02675E), uint32(0xED1C014F), + uint32(0xCD8D65BB), uint32(0xFDB7A257), + uint32(0x09254899), uint32(0xD699C7BC), + uint32(0x9019B6DC), uint32(0x2B9022E4), + uint32(0x8FA14956), uint32(0x21BF9BD3), + uint32(0xB94D0943), uint32(0x6FFDDC22), +} + +var kIdxA = [8]uint8{ + 0, 1, 2, 3, 4, 5, 6, 7, +} +var kIdxB = [8]uint8{ + 8, 9, 10, 11, 12, 13, 14, 15, +} +var kIdxC = [8]uint8{ + 16, 17, 18, 19, 20, 21, 22, 23, +} +var kIdxD = [8]uint8{ + 24, 25, 26, 27, 28, 29, 30, 31, +} + +var kPrems = []uint8{ + 1, 6, 2, 3, 5, 7, 4, 1, 6, 2, 3, +} + +var kPrem = [7][8]uint8{ + {1, 0, 3, 2, 5, 4, 7, 6}, + {6, 7, 4, 5, 2, 3, 0, 1}, + {2, 3, 0, 1, 6, 7, 4, 5}, + {3, 2, 1, 0, 7, 6, 5, 4}, + {5, 4, 7, 6, 1, 0, 3, 2}, + {7, 6, 5, 4, 3, 2, 1, 0}, + {4, 5, 6, 7, 0, 1, 2, 3}, +} + +var wbp = [32]uintptr{ + 4 << 4, 6 << 4, 0 << 4, 2 << 4, + 7 << 4, 5 << 4, 3 << 4, 1 << 4, + 15 << 4, 11 << 4, 12 << 4, 8 << 4, + 9 << 4, 13 << 4, 10 << 4, 14 << 4, + 17 << 4, 18 << 4, 23 << 4, 20 << 4, + 22 << 4, 21 << 4, 16 << 4, 19 << 4, + 30 << 4, 24 << 4, 25 << 4, 31 << 4, + 27 << 4, 29 << 4, 28 << 4, 26 << 4, +} + +var kAlphaTab = []int32{ + 1, 41, 139, 45, 46, 87, 226, 14, 60, 147, 116, 130, + 190, 80, 196, 69, 2, 82, 21, 90, 92, 174, 195, 28, + 120, 37, 232, 3, 123, 160, 135, 138, 4, 164, 42, 180, + 184, 91, 133, 56, 240, 74, 207, 6, 246, 63, 13, 19, + 8, 71, 84, 103, 111, 182, 9, 112, 223, 148, 157, 12, + 235, 126, 26, 38, 16, 142, 168, 206, 222, 107, 18, 224, + 189, 39, 57, 24, 213, 252, 52, 76, 32, 27, 79, 155, + 187, 214, 36, 191, 121, 78, 114, 48, 169, 247, 104, 152, + 64, 54, 158, 53, 117, 171, 72, 125, 242, 156, 228, 96, + 81, 237, 208, 47, 128, 108, 59, 106, 234, 85, 144, 250, + 227, 55, 199, 192, 162, 217, 159, 94, 256, 216, 118, 212, + 211, 170, 31, 243, 197, 110, 141, 127, 67, 177, 61, 188, + 255, 175, 236, 167, 165, 83, 62, 229, 137, 220, 25, 254, + 134, 97, 122, 119, 253, 93, 215, 77, 73, 166, 124, 201, + 17, 183, 50, 251, 11, 194, 244, 238, 249, 186, 173, 154, + 146, 75, 248, 145, 34, 109, 100, 245, 22, 131, 231, 219, + 241, 115, 89, 51, 35, 150, 239, 33, 68, 218, 200, 233, + 44, 5, 205, 181, 225, 230, 178, 102, 70, 43, 221, 66, + 136, 179, 143, 209, 88, 10, 153, 105, 193, 203, 99, 204, + 140, 86, 185, 132, 15, 101, 29, 161, 176, 20, 49, 210, + 129, 149, 198, 151, 23, 172, 113, 7, 30, 202, 58, 65, + 95, 40, 98, 163, +} + +var kYOffA = []int32{ + 1, 163, 98, 40, 95, 65, 58, 202, 30, 7, 113, 172, + 23, 151, 198, 149, 129, 210, 49, 20, 176, 161, 29, 101, + 15, 132, 185, 86, 140, 204, 99, 203, 193, 105, 153, 10, + 88, 209, 143, 179, 136, 66, 221, 43, 70, 102, 178, 230, + 225, 181, 205, 5, 44, 233, 200, 218, 68, 33, 239, 150, + 35, 51, 89, 115, 241, 219, 231, 131, 22, 245, 100, 109, + 34, 145, 248, 75, 146, 154, 173, 186, 249, 238, 244, 194, + 11, 251, 50, 183, 17, 201, 124, 166, 73, 77, 215, 93, + 253, 119, 122, 97, 134, 254, 25, 220, 137, 229, 62, 83, + 165, 167, 236, 175, 255, 188, 61, 177, 67, 127, 141, 110, + 197, 243, 31, 170, 211, 212, 118, 216, 256, 94, 159, 217, + 162, 192, 199, 55, 227, 250, 144, 85, 234, 106, 59, 108, + 128, 47, 208, 237, 81, 96, 228, 156, 242, 125, 72, 171, + 117, 53, 158, 54, 64, 152, 104, 247, 169, 48, 114, 78, + 121, 191, 36, 214, 187, 155, 79, 27, 32, 76, 52, 252, + 213, 24, 57, 39, 189, 224, 18, 107, 222, 206, 168, 142, + 16, 38, 26, 126, 235, 12, 157, 148, 223, 112, 9, 182, + 111, 103, 84, 71, 8, 19, 13, 63, 246, 6, 207, 74, + 240, 56, 133, 91, 184, 180, 42, 164, 4, 138, 135, 160, + 123, 3, 232, 37, 120, 28, 195, 174, 92, 90, 21, 82, + 2, 69, 196, 80, 190, 130, 116, 147, 60, 14, 226, 87, + 46, 45, 139, 41, +} + +var kYOffB = []int32{ + 2, 203, 156, 47, 118, 214, 107, 106, 45, 93, 212, 20, + 111, 73, 162, 251, 97, 215, 249, 53, 211, 19, 3, 89, + 49, 207, 101, 67, 151, 130, 223, 23, 189, 202, 178, 239, + 253, 127, 204, 49, 76, 236, 82, 137, 232, 157, 65, 79, + 96, 161, 176, 130, 161, 30, 47, 9, 189, 247, 61, 226, + 248, 90, 107, 64, 0, 88, 131, 243, 133, 59, 113, 115, + 17, 236, 33, 213, 12, 191, 111, 19, 251, 61, 103, 208, + 57, 35, 148, 248, 47, 116, 65, 119, 249, 178, 143, 40, + 189, 129, 8, 163, 204, 227, 230, 196, 205, 122, 151, 45, + 187, 19, 227, 72, 247, 125, 111, 121, 140, 220, 6, 107, + 77, 69, 10, 101, 21, 65, 149, 171, 255, 54, 101, 210, + 139, 43, 150, 151, 212, 164, 45, 237, 146, 184, 95, 6, + 160, 42, 8, 204, 46, 238, 254, 168, 208, 50, 156, 190, + 106, 127, 34, 234, 68, 55, 79, 18, 4, 130, 53, 208, + 181, 21, 175, 120, 25, 100, 192, 178, 161, 96, 81, 127, + 96, 227, 210, 248, 68, 10, 196, 31, 9, 167, 150, 193, + 0, 169, 126, 14, 124, 198, 144, 142, 240, 21, 224, 44, + 245, 66, 146, 238, 6, 196, 154, 49, 200, 222, 109, 9, + 210, 141, 192, 138, 8, 79, 114, 217, 68, 128, 249, 94, + 53, 30, 27, 61, 52, 135, 106, 212, 70, 238, 30, 185, + 10, 132, 146, 136, 117, 37, 251, 150, 180, 188, 247, 156, + 236, 192, 108, 86, +} diff --git a/crypto/x16rv3/simd/simd_test.go b/crypto/x16rv3/simd/simd_test.go new file mode 100644 index 0000000..4a9890a --- /dev/null +++ b/crypto/x16rv3/simd/simd_test.go @@ -0,0 +1,2161 @@ +package simd + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{ + "51A5AF7E243CD9A5989F7792C880C4C3168C3D60C4518725FE5757D1F7A69C6366977EABA7905CE2DA5D7CFD07773725F0935B55F3EFB954996689A49B6D29E0", + "1F00BEFF48154171A93994E7FE7904F19D8CDA36E3FFD0833F7EC2186B7AA24D6419E396F6A4BBBF5657245D694E40D169D934013E45DD46F087A8CFC1E1CA15", + "5D3A6B8FF55090897251BDFACF016C6A6DA29895B066BCAF3ABF1EFCFCC2D8E75B1DD9349B8EADE29628A8BC748DDDB8B3121D7C2DF5DF3F02912B64B6E57648", + "4305FAA3FE21787C7EEA1D3D7842406A52D06EF111EFF559B65E34CDEAFC04257300E0ABB1E955C2CA8F47BB1FC6E78970CC5A6770CE05F4463BD7C476FCE6FD", + "00BEB23576646F4A2394D3F374A20E6531836EECEDB311888B82F9D43FF05CC0BEA38AEBE7B36257CB674CB8BC657922DA100C4577961C7A4BE228AC22D9D782", + "EE03553CC9522B45650F41993A35A2693F558EA8B0923002221C8CCB05EF06702BBCD09CBA82ECE6B4A2A201FB0ECE239124C48F0EE83B5397635B6ECAB6E584", + "52951CC28EFF058E4B41DD4C9BB6B341E3CED875D051646045970804D504FA8DEBAFFE71D270CF017AA2B6279B673D6B9886597CEA06DE75BE942F8F93BE4085", + "A94C80579C26708C888647F90CBFDABCB223EF50869795A8944DA287489043A2180AED0489491558DE950F6C6E5C901A6095FF036300A313BF8B63875E6C1246", + "6FD2D5E6104BD3966283321234CD40F4ED380CB53A03911B610746466C10A93E41C9B745C79DFDE3275980FE82FC8372EFC406A9B0BDC8C63A375954E63436E2", + "C10B734F5D7379E940D1E8002F92F6E43A95CD6AF226F1DCE6ECE95B226FAA4EBAD922F33F20C32B9592439D80889B710DD7EE56FB6C7B5811C94EACDE9B96A8", + "046024B12BC1C4BFFACA486F0589B074C618DE3DC4D8FDADA8F72F11554E12BC83A7D76DD1C1C6F96E9E416E43AF779A22EE7FB8B5188A738D9A718EBD87DDAE", + "33B1833B71F873CD5BFA3A893193772A1F6B9BD05B07483964260B716B66872069EE7364F094A1B55DEF782ADB21A7623AE2578463568693FA0F9EA0EC892FAE", + "93DA76453AC7CA0394E540A33C3E95E617D64D4CE3385572E432AE2708130A7A9BBA183758BDFED071326219C9122437A9E2D603B44460DB7F4FD0F869BAF011", + "8ED538336F9CBF8FBC3EC7FAF7BCD3B32AE04ABEBCB8541C44106D5732479E51E81D1B9A9AF388EEA879F0314AC484D60192A566092E08069DF6291E58E3ECC8", + "AC75E43131FF4903C1037C029C8399E9333C0F3644EA6B3E12173B775FF1FFA665D19FF90A4F363691DC8D5C3E07321D3E01F23704D7B05A3AC7A943291E6A0E", + "4F096EF75CC7AC01C605201BB3053D21C37045C9AA01144B4B47E0720B7E7F69DCCEE27A6C8E102A59321FE085D046BAB33D14185382264AAE0DDBFDB232D429", + "6DAE77BB11D866244840B90196D8268D7B4564593FCAF1CE925E672EB878F8C0AC4FDBE547C4524275A5C982A483C97D4D92EF975447F454C2049139C71BD13C", + "B726EE4EDFA69B7A0DFC0CAA407DB83B463EB8E4F64F5EE172EB2216C42B8E16E50048918217EF20CE7B899203802F3D33C7FB4B8727881B32AC5DAC5255603B", + "11576570AD05136DFB57730D3F119F7E9497ACB09C39201F718AC25506B98BD14BE4ED15B3C4ED1AEC884A4D6BB716D634B60871FEB0B299BCA67123E328C8B1", + "1081C903B04854912B596D30BB9DB7B09DB73EA8E44D887A41CEE963D183BD045052CC854358FF53AD3CF2FE86E80BA1627AA250D0802966B05C18F11CAADB2C", + "50DC557C767ADC49B1956B397C8194B2B321A312F34D74C235CB67C4897D8300E3B4638D4B6BFD84C245F74318FD697302A542B6A8D90D46940C03634AE546A1", + "A712271DB281697F60FF71A8D62FCA352AC45BD3A2523720F60A038E5A59C5311E1C6D216F6B88E3D48261B52795451FB83F2DC978AD7A80F7A4CBE2C583877E", + "198BCC2E2EF78E54D43566FDCD33866020C9D90A49520C6C025025FFC29CE5CFA9ABA084F53D91C0B0393F3257A4FBE30F79B4DD66F751711D92ECB353581C6E", + "6EBC9AB9390D6066473C5DAC5FCAA3FC1609BE94923C7FAE00BDFB539BA81667AB66A9892B6F101AB9ABF9AF139766D42CBA7A7F39BED6B4381D004B63C846A9", + "A15EF9AB0143BF37807C1D5F654106FE1E877ADF94AED7E1746F452374359E904F3F996812E6AB16FFCC7C358357DC4E97FBAAAAEFDEB02B8E12D59C88BE44BD", + "94088638892D402DDDD84BDEAECF75D0DBF9F2EC38F1F7332D98FA45F4E06F0BD5BF9E48B4439FD3C42E7DC9B0C49F1D03FF458D2B211426458B857C77F6D687", + "1529830EE7E839573AA0D936DCCCADE4E06D53F730013D07FB5EEA51A600602FB2E92B9E78EA65509AF46DB1C9A3BC4F827B6511EB2712A1F03309763E3D9AA5", + "10F2A9EEDB57B5CA0488E975A92FD1426CFDFB25D926F246605F339DDE35199F5E064F36EAF7E01A8C5C5DA64BDFCCEEED85C421D4BF61309FA93A498AFB07D0", + "C33881BD9D85F1AD9C3354CBE569CF407406CB17237F71E990A365D44774130C4878CE95F732684EAC5EE1C5CBE426F1E04E972E145C45DD6B94B6BAF9657654", + "3DBFED81B30BDF472179BB18F4AF64A203B7136241862448004792AF1CEFB38D7209765E58AE4673C70EC0FCCBD221C31ADF1B03FA037BB02FB1EC903DCA50C6", + "F19ADB7B8D59CB5AE856A6752D8FF3A3D99A5F3EF9C9D402A0D75AD25FD3AB69089AB6E649EE2474DEB8E284902EFE21912B21178D748D53C89D368B258273E1", + "06A76F5797D78B3ECB309E4DF8A7EE4C6CF408FE4CA9F8EC55891081499A9746AEC15A96368451C6322CD79057034BDF5910DD77DB977A062CCCFC80F64179AA", + "A4E5C8F1B1ED3DD14CCABA9F2D974D529E97ACC476FE6FE2F0A2ACE9272BE66452096B561E57541CF16C85A6565401F55BBF9BAC0DFC6F957D63966112EF1AA7", + "1EA6E07060258E3535C6DB6B3754AFEDC4FAF3D2114EF77F81FFCF57952E6A3A9CFE7F53DDA43393251791083629BC40C4930D356D26C3C9231124DF27EBFCAB", + "E93192740974ED3370BDB6F68298FC667E7D4CF2B0988B49B24F6F9342F4DF64EEE95A1677EB136E33F5765259F01CE84ADEE91317B9DC5D7342131CE18DBA98", + "1F046FAF297FDB6A88C3AAC5FB7770FB4E80EADA9576F72D6A6C07F58DC919AA9679C87316F59A4E77CA88AD8CCD93113876A5199ADF31D13B3B77C4EEFDF7D0", + "9198F03451318AB3EE4B221756FEB72241E165AB862B5C73420313A72094E9A4A193E1A10B7F24924DE475C7C3730739DAEFA4E254730ACAE2B488C7CF198930", + "2BF920EEED5B371826B51C95180C6EFF4B4D74D153B962727F7887BAD9672420CECFF5FB5513405D1B900DE423D01F66071667A0D0B7B34C9FB9D01A775CD641", + "2A9DBF1AA0AE442F46D01152FCECC02DA665449ACC3A63E1C0DCC83C527B676FBB233F3CF6333BAA00BB7586ECE0EB149BEABCC3491A00A1245CA77B663B9F4F", + "2612299718902EC2EF417C6ECCF2360AE3B64D55712E48356869445369EA4D4E5D4EFB570FCD4AF9AF83E1182779AE381649CF97A4F182D61E5E7DFF1655F2BF", + "1255F276D2D4AB8F15941C0CEFB66D1C037C69980355900D3A17B67FC1FD2E873176582AC5C340EA8C4BD96B5B99E656899B18EDB135C6CCDC076C5513D4F9E9", + "D2B28D28FF03295FECFAF0F407A06C827F6B1A19E4570A3E238467E0E6B01F050F34AFE02097DCADE24881AC4E82A8D1AFB775BF2B109F08EA8D7C95365E1045", + "AA19DEA24CE6414A6E25D45B27F4F9B8A24497CB19CA82133CF729CC8D9EF46D5B3418FD9112AC250BB48414B87F3A7092E35E61856D3615E4CA7C6356EF200B", + "16D9863434889A70B4057851185D9373C33420DC78F0C0A71C605C15F4148F80BE8CA8F6DE8532FF10FF4D121CA6CF805BA2A3EF86789EAC6EA61723E1D1D3BF", + "A5D1F566C1C5FF110ECFF6325F8CFD0AC7DD3E65A0520CE0895A226E4AFB29FA1A219EE64D2A8A4F68115D1E92F1BE380E3F0FFE33903BB4C02DB1A0CDE8E9E1", + "E883CF7FDE5590E7360EE81FA5F7DF17803F917E9F996FFCCCDD45EA95B5AA15058D347B194661BAC3C9124DF6E6CD83427C365846A376CC351C202B358F1771", + "C1A56AC4D36DE4B5B511D69782AB29E550A1F2DA7BA686F3DFA60B0768232A835D7E0B8611DA777E513A147475F898E95DA76B1678640CA3D22D22144B6E4A6A", + "8BFD828478CCD7B30FF9A11828B6CC07B64C610C8CC3ABD4BF99A6BDF5CAF6EE239352514E2840F3D57CE4483E362B9D459F1C0F26E383B07593F5F8263B37FF", + "F4D4CF80BEF947F7851E055C3DEB5D54E321805ED3229993CA4ADBB36CB1EE55E6E548092DC62805F7F34A02A45880D23C82C8EF0A29A61F4FA65E2022F8DC46", + "74F4BA4C24B007CC0DD4E52326B69F0742FF123D9ECB176354BB6B0EC78F7321D64B03E7D2BF4F0A629E7E18CD4D5D5581CF9787C391DCDF4FBA5DF4EE190DF0", + "18DBA1DE5D5CF1B3DC92D1EF6F1ECC3C4BDC17D33B000E415CEA415282855676965D60E4D1561F92112A719BBDD4F0ED186DD27EAA44A03284E23B579C8E662F", + "B66B995C59DF44BE1D13B3B42297DA1484A958A46B45D7C598313723D8905252AB3EF9D6955F51497E0154BF2081C88184C4474F2A71C6FD41540C5716F6DC3A", + "CC327AA2DDEDD004816DE0D4D132EFB27FF79A5D169B65E3CE38A0FD8079A5B545DF1BF99BD37140078525DC34C419E55582589FA3F4035BDB8BC1C9BE13DEC9", + "12E03FBF140D9C8F9BC134BDEE2F3C970A12364428A6AD286A65D1BB1D8D7ED7C726F5A1409666B5EC591CB3448B141F8EF6A3099BA34E7277BBC350569B59DA", + 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skein + +import ( + "fmt" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" +) + +// HashSize holds the size of a hash in bytes. +const HashSize = int(64) + +// BlockSize holds the size of a block in bytes. +const BlockSize = uintptr(64) + +type digest struct { + ptr uintptr + cnt uint64 + + h [8]uint64 + + b [BlockSize]byte +} + +// New returns a new digest to compute a BLAKE512 hash. +func New() hash.Digest { + ref := &digest{} + ref.Reset() + return ref +} + +// Reset resets the digest to its initial state. +func (ref *digest) Reset() { + ref.ptr, ref.cnt = 0, 0 + copy(ref.h[:], kInit[:]) +} + +// Sum appends the current hash to dst and returns the result +// as a slice. It does not change the underlying hash state. +func (ref *digest) Sum(dst []byte) []byte { + dgt := *ref + hsh := [64]byte{} + dgt.Close(hsh[:], 0, 0) + return append(dst, hsh[:]...) +} + +// Write more data to the running hash, never returns an error. +func (ref *digest) Write(src []byte) (int, error) { + sln := uintptr(len(src)) + fln := len(src) + ptr := ref.ptr + + if sln <= (BlockSize - ptr) { + copy(ref.b[ptr:], src) + ref.ptr += sln + return int(sln), nil + } + + cnt := ref.cnt + + b := ref.b[:] + h := [27]uint64{} + h[0] = ref.h[0] + h[1] = ref.h[1] + h[2] = ref.h[2] + h[3] = ref.h[3] + h[4] = ref.h[4] + h[5] = ref.h[5] + h[6] = ref.h[6] + h[7] = ref.h[7] + + var first uint8 + if cnt == 0 { + first = uint8(1 << 7) + } + + if ptr == BlockSize { + cnt += 1 + compress(b, h[:], uint64(96+first), cnt, 0) + first = 0 + ptr = 0 + } + + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + for sln > 0 { + if ptr == BlockSize { + cnt += 1 + compress(b, h[:], uint64(96+first), cnt, 0) + first = 0 + ptr = 0 + } + + cln := BlockSize - ptr + + if cln > sln { + cln = sln + } + sln -= cln + + copy(b[ptr:], src[:cln]) + src = src[cln:] + ptr += cln + + } + + ref.h[0] = h[0] + ref.h[1] = h[1] + ref.h[2] = h[2] + ref.h[3] = h[3] + ref.h[4] = h[4] + ref.h[5] = h[5] + ref.h[6] = h[6] + ref.h[7] = h[7] + + ref.ptr = ptr + ref.cnt = cnt + return fln, nil +} + +// Close the digest by writing the last bits and storing the hash +// in dst. This prepares the digest for reuse by calling reset. A call +// to Close with a dst that is smaller then HashSize will return an error. +func (ref *digest) Close(dst []byte, bits uint8, bcnt uint8) error { + if ln := len(dst); HashSize > ln { + return fmt.Errorf("Skein Close: dst min length: %d, got %d", HashSize, ln) + } + + if bcnt != 0 { + off := uint8(0x80) >> bcnt + x := [1]uint8{uint8((bits & -off) | off)} + ref.Write(x[:]) + } + + ptr := ref.ptr + cnt := ref.cnt + + b := ref.b[:] + h := [27]uint64{} + h[0] = ref.h[0] + h[1] = ref.h[1] + h[2] = ref.h[2] + h[3] = ref.h[3] + h[4] = ref.h[4] + h[5] = ref.h[5] + h[6] = ref.h[6] + h[7] = ref.h[7] + + memset(b[ptr:ptr+(BlockSize-ptr)], 0) + + var etv uint64 + if cnt == 0 { + etv = 352 + uint64(1<<7) + } else { + etv = 352 + } + + if bcnt != 0 { + etv += 1 + } + + for i := uintptr(0); i < 2; i++ { + compress(b, h[:], etv, cnt, ptr) + if i == 0 { + memset(b[:], 0) + etv = 510 + ptr = 8 + cnt = 0 + } + } + + for u := uintptr(0); u < 64; u += 8 { + encUInt64le(dst[u:], h[u>>3]) + } + + ref.Reset() + return nil +} + +// Size returns the number of bytes required to store the hash. +func (*digest) Size() int { + return HashSize +} + +// BlockSize returns the block size of the hash. +func (*digest) BlockSize() int { + return int(BlockSize) +} + +func memset(dst []byte, src byte) { + for i := range dst { + dst[i] = src + } +} + +func decUInt64le(src []byte) uint64 { + return (uint64(src[0]) | + uint64(src[1])<<8 | + uint64(src[2])<<16 | + uint64(src[3])<<24 | + uint64(src[4])<<32 | + uint64(src[5])<<40 | + uint64(src[6])<<48 | + uint64(src[7])<<56) +} + +func encUInt64le(dst []byte, src uint64) { + dst[0] = uint8(src) + dst[1] = uint8(src >> 8) + dst[2] = uint8(src >> 16) + dst[3] = uint8(src >> 24) + dst[4] = uint8(src >> 32) + dst[5] = uint8(src >> 40) + dst[6] = uint8(src >> 48) + dst[7] = uint8(src >> 56) +} + +func compress(buf []uint8, h []uint64, etv, cnt uint64, ext uintptr) { + var t0, t1, t2 uint64 + + m0 := decUInt64le(buf[0:]) + m1 := decUInt64le(buf[8:]) + m2 := decUInt64le(buf[16:]) + m3 := decUInt64le(buf[24:]) + m4 := decUInt64le(buf[32:]) + m5 := decUInt64le(buf[40:]) + m6 := decUInt64le(buf[48:]) + m7 := decUInt64le(buf[56:]) + + p0 := m0 + p1 := m1 + p2 := m2 + p3 := m3 + p4 := m4 + p5 := m5 + p6 := m6 + p7 := m7 + + t0 = uint64(cnt<<6) + uint64(ext) + t1 = (cnt >> 58) + (uint64(etv) << 55) + t2 = t0 ^ t1 + + h[8] = (((h[0] ^ h[1]) ^ (h[2] ^ h[3])) ^ + ((h[4] ^ h[5]) ^ (h[6] ^ h[7])) ^ + uint64(0x1BD11BDAA9FC1A22)) + + for u := uintptr(0); u <= 15; u += 3 { + h[u+9] = h[u+0] + h[u+10] = h[u+1] + h[u+11] = h[u+2] + } + + var tmp uint64 + for u := uintptr(0); u < 9; u++ { + s := uint64(u << 1) + + p0 = uint64(p0 + h[s+0]) + p1 = uint64(p1 + h[s+1]) + p2 = uint64(p2 + h[s+2]) + p3 = uint64(p3 + h[s+3]) + p4 = uint64(p4 + h[s+4]) + p5 = uint64(p5 + h[s+5] + t0) + p6 = uint64(p6 + h[s+6] + t1) + p7 = uint64(p7 + h[s+7] + s) + + p0 = (p0 + p1) + p1 = ((p1 << 46) | (p1 >> (64 - 46))) ^ p0 + p2 = (p2 + p3) + p3 = ((p3 << 36) | (p3 >> (64 - 36))) ^ p2 + p4 = (p4 + p5) + p5 = ((p5 << 19) | (p5 >> (64 - 19))) ^ p4 + p6 = (p6 + p7) + p7 = ((p7 << 37) | (p7 >> (64 - 37))) ^ p6 + + p2 = (p2 + p1) + p1 = ((p1 << 33) | (p1 >> (64 - 33))) ^ p2 + p4 = (p4 + p7) + p7 = ((p7 << 27) | (p7 >> (64 - 27))) ^ p4 + p6 = (p6 + p5) + p5 = ((p5 << 14) | (p5 >> (64 - 14))) ^ p6 + p0 = (p0 + p3) + p3 = ((p3 << 42) | (p3 >> (64 - 42))) ^ p0 + + p4 = (p4 + p1) + p1 = ((p1 << 17) | (p1 >> (64 - 17))) ^ p4 + p6 = (p6 + p3) + p3 = ((p3 << 49) | (p3 >> (64 - 49))) ^ p6 + p0 = (p0 + p5) + p5 = ((p5 << 36) | (p5 >> (64 - 36))) ^ p0 + p2 = (p2 + p7) + p7 = ((p7 << 39) | (p7 >> (64 - 39))) ^ p2 + + p6 = (p6 + p1) + p1 = ((p1 << 44) | (p1 >> (64 - 44))) ^ p6 + p0 = (p0 + p7) + p7 = ((p7 << 9) | (p7 >> (64 - 9))) ^ p0 + p2 = (p2 + p5) + p5 = ((p5 << 54) | (p5 >> (64 - 54))) ^ p2 + p4 = (p4 + p3) + p3 = ((p3 << 56) | (p3 >> (64 - 56))) ^ p4 + + p0 = (p0 + h[s+1]) + p1 = (p1 + h[s+2]) + p2 = (p2 + h[s+3]) + p3 = (p3 + h[s+4]) + p4 = (p4 + h[s+5]) + p5 = (p5 + h[s+6] + t1) + p6 = (p6 + h[s+7] + t2) + p7 = (p7 + h[s+8] + (s + 1)) + + p0 = (p0 + p1) + p1 = ((p1 << 39) | (p1 >> (64 - 39))) ^ p0 + p2 = (p2 + p3) + p3 = ((p3 << 30) | (p3 >> (64 - 30))) ^ p2 + p4 = (p4 + p5) + p5 = ((p5 << 34) | (p5 >> (64 - 34))) ^ p4 + p6 = (p6 + p7) + p7 = ((p7 << 24) | (p7 >> (64 - 24))) ^ p6 + + p2 = (p2 + p1) + p1 = ((p1 << 13) | (p1 >> (64 - 13))) ^ p2 + p4 = (p4 + p7) + p7 = ((p7 << 50) | (p7 >> (64 - 50))) ^ p4 + p6 = (p6 + p5) + p5 = ((p5 << 10) | (p5 >> (64 - 10))) ^ p6 + p0 = (p0 + p3) + p3 = ((p3 << 17) | (p3 >> (64 - 17))) ^ p0 + + p4 = (p4 + p1) + p1 = ((p1 << 25) | (p1 >> (64 - 25))) ^ p4 + p6 = (p6 + p3) + p3 = ((p3 << 29) | (p3 >> (64 - 29))) ^ p6 + p0 = (p0 + p5) + p5 = ((p5 << 39) | (p5 >> (64 - 39))) ^ p0 + p2 = (p2 + p7) + p7 = ((p7 << 43) | (p7 >> (64 - 43))) ^ p2 + + p6 = (p6 + p1) + p1 = ((p1 << 8) | (p1 >> (64 - 8))) ^ p6 + p0 = (p0 + p7) + p7 = ((p7 << 35) | (p7 >> (64 - 35))) ^ p0 + p2 = (p2 + p5) + p5 = ((p5 << 56) | (p5 >> (64 - 56))) ^ p2 + p4 = (p4 + p3) + p3 = ((p3 << 22) | (p3 >> (64 - 22))) ^ p4 + + tmp = t2 + t2 = t1 + t1 = t0 + t0 = tmp + } + + p0 += h[18+0] + p1 += h[18+1] + p2 += h[18+2] + p3 += h[18+3] + p4 += h[18+4] + p5 += h[18+5] + t0 + p6 += h[18+6] + t1 + p7 += h[18+7] + 18 + + h[0] = m0 ^ p0 + h[1] = m1 ^ p1 + h[2] = m2 ^ p2 + h[3] = m3 ^ p3 + h[4] = m4 ^ p4 + h[5] = m5 ^ p5 + h[6] = m6 ^ p6 + h[7] = m7 ^ p7 +} + +var kInit = [8]uint64{ + uint64(0x4903ADFF749C51CE), uint64(0x0D95DE399746DF03), + uint64(0x8FD1934127C79BCE), uint64(0x9A255629FF352CB1), + uint64(0x5DB62599DF6CA7B0), uint64(0xEABE394CA9D5C3F4), + uint64(0x991112C71A75B523), uint64(0xAE18A40B660FCC33), +} diff --git a/crypto/x16rv3/skein/skein_test.go b/crypto/x16rv3/skein/skein_test.go new file mode 100644 index 0000000..596d017 --- /dev/null +++ b/crypto/x16rv3/skein/skein_test.go @@ -0,0 +1,2161 @@ +package skein + +import ( + "encoding/hex" + "testing" + + "github.com/Qitmeer/qng-core/crypto/x16rv3/nist" +) + +func TestApi(t *testing.T) { + dgst := New() + if sz := dgst.Size(); HashSize != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + if sz := dgst.BlockSize(); int(BlockSize) != sz { + t.Errorf("Size: expected: %d, got: %d", HashSize, sz) + } + res := [2]byte{} + if nil == dgst.Close(res[:], 0, 0) { + t.Error("Close: expected dst min length error, got: nil") + } +} + +func TestNistSum(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistSum(t, i) + } +} + +func TestNistClose(t *testing.T) { + for i := uint64(0); i < 2048; i++ { + runNistClose(t, i) + } +} + +func runNistSum(t *testing.T, idx uint64) { + if extr := idx & 7; extr == 0 { + dgst := New() + rbuf := [64]byte{} + dmsg := nist.Get(idx) + + ln, err := dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest := dgst.Sum(rbuf[0:0]) + hash, _ := hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\na) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Manual reset + dgst.Reset() + + ln, err = dgst.Write(dmsg) + if ln != len(dmsg) { + t.Errorf("\nSum Write length %d, expected: %d got: %d", idx, len(dmsg), ln) + } + if err != nil { + t.Errorf("\nSum Write should never return an error, %d: got: %X", idx, err) + } + + rest = dgst.Sum(rbuf[0:0]) + hash, _ = hex.DecodeString(kNistResult[idx]) + + if !nist.IsEqual(hash, rbuf[:]) { + t.Errorf("\nb) Sum %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + } +} + +func runNistClose(t *testing.T, idx uint64) { + dgst := New() + extr := idx & 7 + rest := [64]byte{} + dmsg := nist.Get(idx) + + hash, _ := hex.DecodeString(kNistResult[idx]) + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\na) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } + + // Auto reset + + if extr == 0 { + dgst.Write(dmsg) + dgst.Close(rest[:], 0, 0) + } else { + dgst.Write(dmsg[:len(dmsg)-1]) + dgst.Close(rest[:], dmsg[len(dmsg)-1], uint8(extr)) + } + + if !nist.IsEqual(hash, rest[:]) { + t.Errorf("\nb) Close %d:\n expected: %X\n got: %X", idx, hash, rest[:]) + } +} + +var kNistResult = []string{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b/crypto/x16rv3/uint128.go new file mode 100644 index 0000000..5881a70 --- /dev/null +++ b/crypto/x16rv3/uint128.go @@ -0,0 +1,144 @@ +package x16rv3 + +import ( + "encoding/binary" + "encoding/hex" + + "github.com/pkg/errors" +) + +// Uint128 is a big-endian 128 bit unsigned integer which wraps two uint64s. +type Uint128 struct { + V0, V1 uint64 +} + +// GetBytes returns a big-endian byte representation. +func (u Uint128) GetBytes() []byte { + buf := make([]byte, 16) + binary.LittleEndian.PutUint64(buf[:8], u.V0) + binary.LittleEndian.PutUint64(buf[8:], u.V1) + return buf +} + +// String returns a hexadecimal string representation. +func (u Uint128) String() string { + return hex.EncodeToString(u.GetBytes()) +} + +// Equal returns whether or not the Uint128 are equivalent. +func (u Uint128) Equal(o Uint128) bool { + return u.V0 == o.V0 && u.V1 == o.V1 +} + +// Compare compares the two Uint128. +func (u Uint128) Compare(o Uint128) int { + if u.V0 > o.V0 { + return 1 + } else if u.V0 < o.V0 { + return -1 + } else if u.V1 > o.V1 { + return 1 + } else if u.V1 < o.V1 { + return -1 + } + return 0 +} + +// Add returns a new Uint128 incremented by n. +func (u Uint128) Add(n uint64) Uint128 { + V1 := u.V1 + n + hi := u.V0 + if u.V1 > V1 { + hi++ + } + return Uint128{hi, V1} +} + +// Sub returns a new Uint128 decremented by n. +func (u Uint128) Sub(n uint64) Uint128 { + V1 := u.V1 - n + hi := u.V0 + if u.V1 < V1 { + hi-- + } + return Uint128{hi, V1} +} + +// And returns a new Uint128 that is the bitwise AND of two Uint128 values. +func (u Uint128) And(o Uint128) Uint128 { + return Uint128{u.V0 & o.V0, u.V1 & o.V1} +} + +// Or returns a new Uint128 that is the bitwise OR of two Uint128 values. +func (u Uint128) Or(o Uint128) Uint128 { + return Uint128{u.V0 | o.V0, u.V1 | o.V1} +} + +// Xor returns a new Uint128 that is the bitwise XOR of two Uint128 values. +func (u Uint128) Xor(o Uint128) Uint128 { + return Uint128{u.V0 ^ o.V0, u.V1 ^ o.V1} +} + +// FromBytes parses the byte slice as a 128 bit big-endian unsigned integer. +// The caller is responsible for ensuring the byte slice contains 16 bytes. +func FromBytes(b []byte) Uint128 { + hi := binary.LittleEndian.Uint64(b[:8]) + V1 := binary.LittleEndian.Uint64(b[8:]) + return Uint128{hi, V1} +} + +// FromString parses a hexadecimal string as a 128-bit big-endian unsigned integer. +func FromString(s string) (Uint128, error) { + if len(s) > 32 { + return Uint128{}, errors.Errorf("input string %s too large for uint128", s) + } + bytes, err := hex.DecodeString(s) + if err != nil { + return Uint128{}, errors.Wrapf(err, "could not decode %s as hex", s) + } + + // Grow the byte slice if it's smaller than 16 bytes, by prepending 0s + if len(bytes) < 16 { + bytesCopy := make([]byte, 16) + copy(bytesCopy[(16-len(bytes)):], bytes) + bytes = bytesCopy + } + + return FromBytes(bytes), nil +} + +// FromInts takes in two unsigned 64-bit integers and constructs a Uint128. +func FromInts(hi uint64, V1 uint64) Uint128 { + return Uint128{hi, V1} +} + +// FromInts takes in two unsigned 64-bit integers and constructs a Uint128. +func FromIntsArray(arr []uint64) Uint128 { + return Uint128{arr[0], arr[1]} +} + +func (u Uint128) ToUint64() []uint64 { + return []uint64{u.V0, u.V1} +} + +func Ur128_5xor(in0, in1, in2, in3, in4 Uint128) Uint128 { + var out = Uint128{} + out.V0 = in0.V0 ^ in1.V0 ^ in2.V0 ^ in3.V0 ^ in4.V0 + out.V1 = in0.V1 ^ in1.V1 ^ in2.V1 ^ in3.V1 ^ in4.V1 + return out +} + +func Xor128(in0, in1 Uint128) Uint128 { + var out = Uint128{} + out.V0 = in0.V0 ^ in1.V0 + out.V1 = in0.V1 ^ in1.V1 + return out +} + +func ArrayToBytes(a []Uint128) []byte { + b := make([]byte, 0) + for i := 0; i < len(a); i++ { + b = append(b, a[i].GetBytes()...) + } + return b +} diff --git a/crypto/x16rv3/whirlpool/const.go b/crypto/x16rv3/whirlpool/const.go new file mode 100644 index 0000000..4a6f110 --- /dev/null +++ b/crypto/x16rv3/whirlpool/const.go @@ -0,0 +1,565 @@ +// Copyright 2012 Jimmy Zelinskie. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package whirlpool + +const ( + rounds = 10 + lengthBytes = 32 + lengthBits = 8 * lengthBytes + digestBytes = 64 + digestBits = 8 * digestBytes + wblockBytes = 64 + wblockBits = 8 * wblockBytes +) + +var _C0 = [256]uint64{ + 0x18186018c07830d8, 0x23238c2305af4626, 0xc6c63fc67ef991b8, 0xe8e887e8136fcdfb, + 0x878726874ca113cb, 0xb8b8dab8a9626d11, 0x0101040108050209, 0x4f4f214f426e9e0d, + 0x3636d836adee6c9b, 0xa6a6a2a6590451ff, 0xd2d26fd2debdb90c, 0xf5f5f3f5fb06f70e, + 0x7979f979ef80f296, 0x6f6fa16f5fcede30, 0x91917e91fcef3f6d, 0x52525552aa07a4f8, + 0x60609d6027fdc047, 0xbcbccabc89766535, 0x9b9b569baccd2b37, 0x8e8e028e048c018a, + 0xa3a3b6a371155bd2, 0x0c0c300c603c186c, 0x7b7bf17bff8af684, 0x3535d435b5e16a80, + 0x1d1d741de8693af5, 0xe0e0a7e05347ddb3, 0xd7d77bd7f6acb321, 0xc2c22fc25eed999c, + 0x2e2eb82e6d965c43, 0x4b4b314b627a9629, 0xfefedffea321e15d, 0x575741578216aed5, + 0x15155415a8412abd, 0x7777c1779fb6eee8, 0x3737dc37a5eb6e92, 0xe5e5b3e57b56d79e, + 0x9f9f469f8cd92313, 0xf0f0e7f0d317fd23, 0x4a4a354a6a7f9420, 0xdada4fda9e95a944, + 0x58587d58fa25b0a2, 0xc9c903c906ca8fcf, 0x2929a429558d527c, 0x0a0a280a5022145a, + 0xb1b1feb1e14f7f50, 0xa0a0baa0691a5dc9, 0x6b6bb16b7fdad614, 0x85852e855cab17d9, + 0xbdbdcebd8173673c, 0x5d5d695dd234ba8f, 0x1010401080502090, 0xf4f4f7f4f303f507, + 0xcbcb0bcb16c08bdd, 0x3e3ef83eedc67cd3, 0x0505140528110a2d, 0x676781671fe6ce78, + 0xe4e4b7e47353d597, 0x27279c2725bb4e02, 0x4141194132588273, 0x8b8b168b2c9d0ba7, + 0xa7a7a6a7510153f6, 0x7d7de97dcf94fab2, 0x95956e95dcfb3749, 0xd8d847d88e9fad56, + 0xfbfbcbfb8b30eb70, 0xeeee9fee2371c1cd, 0x7c7ced7cc791f8bb, 0x6666856617e3cc71, + 0xdddd53dda68ea77b, 0x17175c17b84b2eaf, 0x4747014702468e45, 0x9e9e429e84dc211a, + 0xcaca0fca1ec589d4, 0x2d2db42d75995a58, 0xbfbfc6bf9179632e, 0x07071c07381b0e3f, + 0xadad8ead012347ac, 0x5a5a755aea2fb4b0, 0x838336836cb51bef, 0x3333cc3385ff66b6, + 0x636391633ff2c65c, 0x02020802100a0412, 0xaaaa92aa39384993, 0x7171d971afa8e2de, + 0xc8c807c80ecf8dc6, 0x19196419c87d32d1, 0x494939497270923b, 0xd9d943d9869aaf5f, + 0xf2f2eff2c31df931, 0xe3e3abe34b48dba8, 0x5b5b715be22ab6b9, 0x88881a8834920dbc, + 0x9a9a529aa4c8293e, 0x262698262dbe4c0b, 0x3232c8328dfa64bf, 0xb0b0fab0e94a7d59, + 0xe9e983e91b6acff2, 0x0f0f3c0f78331e77, 0xd5d573d5e6a6b733, 0x80803a8074ba1df4, + 0xbebec2be997c6127, 0xcdcd13cd26de87eb, 0x3434d034bde46889, 0x48483d487a759032, + 0xffffdbffab24e354, 0x7a7af57af78ff48d, 0x90907a90f4ea3d64, 0x5f5f615fc23ebe9d, + 0x202080201da0403d, 0x6868bd6867d5d00f, 0x1a1a681ad07234ca, 0xaeae82ae192c41b7, + 0xb4b4eab4c95e757d, 0x54544d549a19a8ce, 0x93937693ece53b7f, 0x222288220daa442f, + 0x64648d6407e9c863, 0xf1f1e3f1db12ff2a, 0x7373d173bfa2e6cc, 0x12124812905a2482, + 0x40401d403a5d807a, 0x0808200840281048, 0xc3c32bc356e89b95, 0xecec97ec337bc5df, + 0xdbdb4bdb9690ab4d, 0xa1a1bea1611f5fc0, 0x8d8d0e8d1c830791, 0x3d3df43df5c97ac8, + 0x97976697ccf1335b, 0x0000000000000000, 0xcfcf1bcf36d483f9, 0x2b2bac2b4587566e, + 0x7676c57697b3ece1, 0x8282328264b019e6, 0xd6d67fd6fea9b128, 0x1b1b6c1bd87736c3, + 0xb5b5eeb5c15b7774, 0xafaf86af112943be, 0x6a6ab56a77dfd41d, 0x50505d50ba0da0ea, + 0x45450945124c8a57, 0xf3f3ebf3cb18fb38, 0x3030c0309df060ad, 0xefef9bef2b74c3c4, + 0x3f3ffc3fe5c37eda, 0x55554955921caac7, 0xa2a2b2a2791059db, 0xeaea8fea0365c9e9, + 0x656589650fecca6a, 0xbabad2bab9686903, 0x2f2fbc2f65935e4a, 0xc0c027c04ee79d8e, + 0xdede5fdebe81a160, 0x1c1c701ce06c38fc, 0xfdfdd3fdbb2ee746, 0x4d4d294d52649a1f, + 0x92927292e4e03976, 0x7575c9758fbceafa, 0x06061806301e0c36, 0x8a8a128a249809ae, + 0xb2b2f2b2f940794b, 0xe6e6bfe66359d185, 0x0e0e380e70361c7e, 0x1f1f7c1ff8633ee7, + 0x6262956237f7c455, 0xd4d477d4eea3b53a, 0xa8a89aa829324d81, 0x96966296c4f43152, + 0xf9f9c3f99b3aef62, 0xc5c533c566f697a3, 0x2525942535b14a10, 0x59597959f220b2ab, + 0x84842a8454ae15d0, 0x7272d572b7a7e4c5, 0x3939e439d5dd72ec, 0x4c4c2d4c5a619816, + 0x5e5e655eca3bbc94, 0x7878fd78e785f09f, 0x3838e038ddd870e5, 0x8c8c0a8c14860598, + 0xd1d163d1c6b2bf17, 0xa5a5aea5410b57e4, 0xe2e2afe2434dd9a1, 0x616199612ff8c24e, + 0xb3b3f6b3f1457b42, 0x2121842115a54234, 0x9c9c4a9c94d62508, 0x1e1e781ef0663cee, + 0x4343114322528661, 0xc7c73bc776fc93b1, 0xfcfcd7fcb32be54f, 0x0404100420140824, + 0x51515951b208a2e3, 0x99995e99bcc72f25, 0x6d6da96d4fc4da22, 0x0d0d340d68391a65, + 0xfafacffa8335e979, 0xdfdf5bdfb684a369, 0x7e7ee57ed79bfca9, 0x242490243db44819, + 0x3b3bec3bc5d776fe, 0xabab96ab313d4b9a, 0xcece1fce3ed181f0, 0x1111441188552299, + 0x8f8f068f0c890383, 0x4e4e254e4a6b9c04, 0xb7b7e6b7d1517366, 0xebeb8beb0b60cbe0, + 0x3c3cf03cfdcc78c1, 0x81813e817cbf1ffd, 0x94946a94d4fe3540, 0xf7f7fbf7eb0cf31c, + 0xb9b9deb9a1676f18, 0x13134c13985f268b, 0x2c2cb02c7d9c5851, 0xd3d36bd3d6b8bb05, + 0xe7e7bbe76b5cd38c, 0x6e6ea56e57cbdc39, 0xc4c437c46ef395aa, 0x03030c03180f061b, + 0x565645568a13acdc, 0x44440d441a49885e, 0x7f7fe17fdf9efea0, 0xa9a99ea921374f88, + 0x2a2aa82a4d825467, 0xbbbbd6bbb16d6b0a, 0xc1c123c146e29f87, 0x53535153a202a6f1, + 0xdcdc57dcae8ba572, 0x0b0b2c0b58271653, 0x9d9d4e9d9cd32701, 0x6c6cad6c47c1d82b, + 0x3131c43195f562a4, 0x7474cd7487b9e8f3, 0xf6f6fff6e309f115, 0x464605460a438c4c, + 0xacac8aac092645a5, 0x89891e893c970fb5, 0x14145014a04428b4, 0xe1e1a3e15b42dfba, + 0x16165816b04e2ca6, 0x3a3ae83acdd274f7, 0x6969b9696fd0d206, 0x09092409482d1241, + 0x7070dd70a7ade0d7, 0xb6b6e2b6d954716f, 0xd0d067d0ceb7bd1e, 0xeded93ed3b7ec7d6, + 0xcccc17cc2edb85e2, 0x424215422a578468, 0x98985a98b4c22d2c, 0xa4a4aaa4490e55ed, + 0x2828a0285d885075, 0x5c5c6d5cda31b886, 0xf8f8c7f8933fed6b, 0x8686228644a411c2, +} + +var _C1 = [256]uint64{ + 0xd818186018c07830, 0x2623238c2305af46, 0xb8c6c63fc67ef991, 0xfbe8e887e8136fcd, + 0xcb878726874ca113, 0x11b8b8dab8a9626d, 0x0901010401080502, 0x0d4f4f214f426e9e, + 0x9b3636d836adee6c, 0xffa6a6a2a6590451, 0x0cd2d26fd2debdb9, 0x0ef5f5f3f5fb06f7, + 0x967979f979ef80f2, 0x306f6fa16f5fcede, 0x6d91917e91fcef3f, 0xf852525552aa07a4, + 0x4760609d6027fdc0, 0x35bcbccabc897665, 0x379b9b569baccd2b, 0x8a8e8e028e048c01, + 0xd2a3a3b6a371155b, 0x6c0c0c300c603c18, 0x847b7bf17bff8af6, 0x803535d435b5e16a, + 0xf51d1d741de8693a, 0xb3e0e0a7e05347dd, 0x21d7d77bd7f6acb3, 0x9cc2c22fc25eed99, + 0x432e2eb82e6d965c, 0x294b4b314b627a96, 0x5dfefedffea321e1, 0xd5575741578216ae, + 0xbd15155415a8412a, 0xe87777c1779fb6ee, 0x923737dc37a5eb6e, 0x9ee5e5b3e57b56d7, + 0x139f9f469f8cd923, 0x23f0f0e7f0d317fd, 0x204a4a354a6a7f94, 0x44dada4fda9e95a9, + 0xa258587d58fa25b0, 0xcfc9c903c906ca8f, 0x7c2929a429558d52, 0x5a0a0a280a502214, + 0x50b1b1feb1e14f7f, 0xc9a0a0baa0691a5d, 0x146b6bb16b7fdad6, 0xd985852e855cab17, + 0x3cbdbdcebd817367, 0x8f5d5d695dd234ba, 0x9010104010805020, 0x07f4f4f7f4f303f5, + 0xddcbcb0bcb16c08b, 0xd33e3ef83eedc67c, 0x2d0505140528110a, 0x78676781671fe6ce, + 0x97e4e4b7e47353d5, 0x0227279c2725bb4e, 0x7341411941325882, 0xa78b8b168b2c9d0b, + 0xf6a7a7a6a7510153, 0xb27d7de97dcf94fa, 0x4995956e95dcfb37, 0x56d8d847d88e9fad, + 0x70fbfbcbfb8b30eb, 0xcdeeee9fee2371c1, 0xbb7c7ced7cc791f8, 0x716666856617e3cc, + 0x7bdddd53dda68ea7, 0xaf17175c17b84b2e, 0x454747014702468e, 0x1a9e9e429e84dc21, + 0xd4caca0fca1ec589, 0x582d2db42d75995a, 0x2ebfbfc6bf917963, 0x3f07071c07381b0e, + 0xacadad8ead012347, 0xb05a5a755aea2fb4, 0xef838336836cb51b, 0xb63333cc3385ff66, + 0x5c636391633ff2c6, 0x1202020802100a04, 0x93aaaa92aa393849, 0xde7171d971afa8e2, + 0xc6c8c807c80ecf8d, 0xd119196419c87d32, 0x3b49493949727092, 0x5fd9d943d9869aaf, + 0x31f2f2eff2c31df9, 0xa8e3e3abe34b48db, 0xb95b5b715be22ab6, 0xbc88881a8834920d, + 0x3e9a9a529aa4c829, 0x0b262698262dbe4c, 0xbf3232c8328dfa64, 0x59b0b0fab0e94a7d, + 0xf2e9e983e91b6acf, 0x770f0f3c0f78331e, 0x33d5d573d5e6a6b7, 0xf480803a8074ba1d, + 0x27bebec2be997c61, 0xebcdcd13cd26de87, 0x893434d034bde468, 0x3248483d487a7590, + 0x54ffffdbffab24e3, 0x8d7a7af57af78ff4, 0x6490907a90f4ea3d, 0x9d5f5f615fc23ebe, + 0x3d202080201da040, 0x0f6868bd6867d5d0, 0xca1a1a681ad07234, 0xb7aeae82ae192c41, + 0x7db4b4eab4c95e75, 0xce54544d549a19a8, 0x7f93937693ece53b, 0x2f222288220daa44, + 0x6364648d6407e9c8, 0x2af1f1e3f1db12ff, 0xcc7373d173bfa2e6, 0x8212124812905a24, + 0x7a40401d403a5d80, 0x4808082008402810, 0x95c3c32bc356e89b, 0xdfecec97ec337bc5, + 0x4ddbdb4bdb9690ab, 0xc0a1a1bea1611f5f, 0x918d8d0e8d1c8307, 0xc83d3df43df5c97a, + 0x5b97976697ccf133, 0x0000000000000000, 0xf9cfcf1bcf36d483, 0x6e2b2bac2b458756, + 0xe17676c57697b3ec, 0xe68282328264b019, 0x28d6d67fd6fea9b1, 0xc31b1b6c1bd87736, + 0x74b5b5eeb5c15b77, 0xbeafaf86af112943, 0x1d6a6ab56a77dfd4, 0xea50505d50ba0da0, + 0x5745450945124c8a, 0x38f3f3ebf3cb18fb, 0xad3030c0309df060, 0xc4efef9bef2b74c3, + 0xda3f3ffc3fe5c37e, 0xc755554955921caa, 0xdba2a2b2a2791059, 0xe9eaea8fea0365c9, + 0x6a656589650fecca, 0x03babad2bab96869, 0x4a2f2fbc2f65935e, 0x8ec0c027c04ee79d, + 0x60dede5fdebe81a1, 0xfc1c1c701ce06c38, 0x46fdfdd3fdbb2ee7, 0x1f4d4d294d52649a, + 0x7692927292e4e039, 0xfa7575c9758fbcea, 0x3606061806301e0c, 0xae8a8a128a249809, + 0x4bb2b2f2b2f94079, 0x85e6e6bfe66359d1, 0x7e0e0e380e70361c, 0xe71f1f7c1ff8633e, + 0x556262956237f7c4, 0x3ad4d477d4eea3b5, 0x81a8a89aa829324d, 0x5296966296c4f431, + 0x62f9f9c3f99b3aef, 0xa3c5c533c566f697, 0x102525942535b14a, 0xab59597959f220b2, + 0xd084842a8454ae15, 0xc57272d572b7a7e4, 0xec3939e439d5dd72, 0x164c4c2d4c5a6198, + 0x945e5e655eca3bbc, 0x9f7878fd78e785f0, 0xe53838e038ddd870, 0x988c8c0a8c148605, + 0x17d1d163d1c6b2bf, 0xe4a5a5aea5410b57, 0xa1e2e2afe2434dd9, 0x4e616199612ff8c2, + 0x42b3b3f6b3f1457b, 0x342121842115a542, 0x089c9c4a9c94d625, 0xee1e1e781ef0663c, + 0x6143431143225286, 0xb1c7c73bc776fc93, 0x4ffcfcd7fcb32be5, 0x2404041004201408, + 0xe351515951b208a2, 0x2599995e99bcc72f, 0x226d6da96d4fc4da, 0x650d0d340d68391a, + 0x79fafacffa8335e9, 0x69dfdf5bdfb684a3, 0xa97e7ee57ed79bfc, 0x19242490243db448, + 0xfe3b3bec3bc5d776, 0x9aabab96ab313d4b, 0xf0cece1fce3ed181, 0x9911114411885522, + 0x838f8f068f0c8903, 0x044e4e254e4a6b9c, 0x66b7b7e6b7d15173, 0xe0ebeb8beb0b60cb, + 0xc13c3cf03cfdcc78, 0xfd81813e817cbf1f, 0x4094946a94d4fe35, 0x1cf7f7fbf7eb0cf3, + 0x18b9b9deb9a1676f, 0x8b13134c13985f26, 0x512c2cb02c7d9c58, 0x05d3d36bd3d6b8bb, + 0x8ce7e7bbe76b5cd3, 0x396e6ea56e57cbdc, 0xaac4c437c46ef395, 0x1b03030c03180f06, + 0xdc565645568a13ac, 0x5e44440d441a4988, 0xa07f7fe17fdf9efe, 0x88a9a99ea921374f, + 0x672a2aa82a4d8254, 0x0abbbbd6bbb16d6b, 0x87c1c123c146e29f, 0xf153535153a202a6, + 0x72dcdc57dcae8ba5, 0x530b0b2c0b582716, 0x019d9d4e9d9cd327, 0x2b6c6cad6c47c1d8, + 0xa43131c43195f562, 0xf37474cd7487b9e8, 0x15f6f6fff6e309f1, 0x4c464605460a438c, + 0xa5acac8aac092645, 0xb589891e893c970f, 0xb414145014a04428, 0xbae1e1a3e15b42df, + 0xa616165816b04e2c, 0xf73a3ae83acdd274, 0x066969b9696fd0d2, 0x4109092409482d12, + 0xd77070dd70a7ade0, 0x6fb6b6e2b6d95471, 0x1ed0d067d0ceb7bd, 0xd6eded93ed3b7ec7, + 0xe2cccc17cc2edb85, 0x68424215422a5784, 0x2c98985a98b4c22d, 0xeda4a4aaa4490e55, + 0x752828a0285d8850, 0x865c5c6d5cda31b8, 0x6bf8f8c7f8933fed, 0xc28686228644a411, +} + +var _C2 = [256]uint64{ + 0x30d818186018c078, 0x462623238c2305af, 0x91b8c6c63fc67ef9, 0xcdfbe8e887e8136f, + 0x13cb878726874ca1, 0x6d11b8b8dab8a962, 0x0209010104010805, 0x9e0d4f4f214f426e, + 0x6c9b3636d836adee, 0x51ffa6a6a2a65904, 0xb90cd2d26fd2debd, 0xf70ef5f5f3f5fb06, + 0xf2967979f979ef80, 0xde306f6fa16f5fce, 0x3f6d91917e91fcef, 0xa4f852525552aa07, + 0xc04760609d6027fd, 0x6535bcbccabc8976, 0x2b379b9b569baccd, 0x018a8e8e028e048c, + 0x5bd2a3a3b6a37115, 0x186c0c0c300c603c, 0xf6847b7bf17bff8a, 0x6a803535d435b5e1, + 0x3af51d1d741de869, 0xddb3e0e0a7e05347, 0xb321d7d77bd7f6ac, 0x999cc2c22fc25eed, + 0x5c432e2eb82e6d96, 0x96294b4b314b627a, 0xe15dfefedffea321, 0xaed5575741578216, + 0x2abd15155415a841, 0xeee87777c1779fb6, 0x6e923737dc37a5eb, 0xd79ee5e5b3e57b56, + 0x23139f9f469f8cd9, 0xfd23f0f0e7f0d317, 0x94204a4a354a6a7f, 0xa944dada4fda9e95, + 0xb0a258587d58fa25, 0x8fcfc9c903c906ca, 0x527c2929a429558d, 0x145a0a0a280a5022, + 0x7f50b1b1feb1e14f, 0x5dc9a0a0baa0691a, 0xd6146b6bb16b7fda, 0x17d985852e855cab, + 0x673cbdbdcebd8173, 0xba8f5d5d695dd234, 0x2090101040108050, 0xf507f4f4f7f4f303, + 0x8bddcbcb0bcb16c0, 0x7cd33e3ef83eedc6, 0x0a2d050514052811, 0xce78676781671fe6, + 0xd597e4e4b7e47353, 0x4e0227279c2725bb, 0x8273414119413258, 0x0ba78b8b168b2c9d, + 0x53f6a7a7a6a75101, 0xfab27d7de97dcf94, 0x374995956e95dcfb, 0xad56d8d847d88e9f, + 0xeb70fbfbcbfb8b30, 0xc1cdeeee9fee2371, 0xf8bb7c7ced7cc791, 0xcc716666856617e3, + 0xa77bdddd53dda68e, 0x2eaf17175c17b84b, 0x8e45474701470246, 0x211a9e9e429e84dc, + 0x89d4caca0fca1ec5, 0x5a582d2db42d7599, 0x632ebfbfc6bf9179, 0x0e3f07071c07381b, + 0x47acadad8ead0123, 0xb4b05a5a755aea2f, 0x1bef838336836cb5, 0x66b63333cc3385ff, + 0xc65c636391633ff2, 0x041202020802100a, 0x4993aaaa92aa3938, 0xe2de7171d971afa8, + 0x8dc6c8c807c80ecf, 0x32d119196419c87d, 0x923b494939497270, 0xaf5fd9d943d9869a, + 0xf931f2f2eff2c31d, 0xdba8e3e3abe34b48, 0xb6b95b5b715be22a, 0x0dbc88881a883492, + 0x293e9a9a529aa4c8, 0x4c0b262698262dbe, 0x64bf3232c8328dfa, 0x7d59b0b0fab0e94a, + 0xcff2e9e983e91b6a, 0x1e770f0f3c0f7833, 0xb733d5d573d5e6a6, 0x1df480803a8074ba, + 0x6127bebec2be997c, 0x87ebcdcd13cd26de, 0x68893434d034bde4, 0x903248483d487a75, + 0xe354ffffdbffab24, 0xf48d7a7af57af78f, 0x3d6490907a90f4ea, 0xbe9d5f5f615fc23e, + 0x403d202080201da0, 0xd00f6868bd6867d5, 0x34ca1a1a681ad072, 0x41b7aeae82ae192c, + 0x757db4b4eab4c95e, 0xa8ce54544d549a19, 0x3b7f93937693ece5, 0x442f222288220daa, + 0xc86364648d6407e9, 0xff2af1f1e3f1db12, 0xe6cc7373d173bfa2, 0x248212124812905a, + 0x807a40401d403a5d, 0x1048080820084028, 0x9b95c3c32bc356e8, 0xc5dfecec97ec337b, + 0xab4ddbdb4bdb9690, 0x5fc0a1a1bea1611f, 0x07918d8d0e8d1c83, 0x7ac83d3df43df5c9, + 0x335b97976697ccf1, 0x0000000000000000, 0x83f9cfcf1bcf36d4, 0x566e2b2bac2b4587, + 0xece17676c57697b3, 0x19e68282328264b0, 0xb128d6d67fd6fea9, 0x36c31b1b6c1bd877, + 0x7774b5b5eeb5c15b, 0x43beafaf86af1129, 0xd41d6a6ab56a77df, 0xa0ea50505d50ba0d, + 0x8a5745450945124c, 0xfb38f3f3ebf3cb18, 0x60ad3030c0309df0, 0xc3c4efef9bef2b74, + 0x7eda3f3ffc3fe5c3, 0xaac755554955921c, 0x59dba2a2b2a27910, 0xc9e9eaea8fea0365, + 0xca6a656589650fec, 0x6903babad2bab968, 0x5e4a2f2fbc2f6593, 0x9d8ec0c027c04ee7, + 0xa160dede5fdebe81, 0x38fc1c1c701ce06c, 0xe746fdfdd3fdbb2e, 0x9a1f4d4d294d5264, + 0x397692927292e4e0, 0xeafa7575c9758fbc, 0x0c3606061806301e, 0x09ae8a8a128a2498, + 0x794bb2b2f2b2f940, 0xd185e6e6bfe66359, 0x1c7e0e0e380e7036, 0x3ee71f1f7c1ff863, + 0xc4556262956237f7, 0xb53ad4d477d4eea3, 0x4d81a8a89aa82932, 0x315296966296c4f4, + 0xef62f9f9c3f99b3a, 0x97a3c5c533c566f6, 0x4a102525942535b1, 0xb2ab59597959f220, + 0x15d084842a8454ae, 0xe4c57272d572b7a7, 0x72ec3939e439d5dd, 0x98164c4c2d4c5a61, + 0xbc945e5e655eca3b, 0xf09f7878fd78e785, 0x70e53838e038ddd8, 0x05988c8c0a8c1486, + 0xbf17d1d163d1c6b2, 0x57e4a5a5aea5410b, 0xd9a1e2e2afe2434d, 0xc24e616199612ff8, + 0x7b42b3b3f6b3f145, 0x42342121842115a5, 0x25089c9c4a9c94d6, 0x3cee1e1e781ef066, + 0x8661434311432252, 0x93b1c7c73bc776fc, 0xe54ffcfcd7fcb32b, 0x0824040410042014, + 0xa2e351515951b208, 0x2f2599995e99bcc7, 0xda226d6da96d4fc4, 0x1a650d0d340d6839, + 0xe979fafacffa8335, 0xa369dfdf5bdfb684, 0xfca97e7ee57ed79b, 0x4819242490243db4, + 0x76fe3b3bec3bc5d7, 0x4b9aabab96ab313d, 0x81f0cece1fce3ed1, 0x2299111144118855, + 0x03838f8f068f0c89, 0x9c044e4e254e4a6b, 0x7366b7b7e6b7d151, 0xcbe0ebeb8beb0b60, + 0x78c13c3cf03cfdcc, 0x1ffd81813e817cbf, 0x354094946a94d4fe, 0xf31cf7f7fbf7eb0c, + 0x6f18b9b9deb9a167, 0x268b13134c13985f, 0x58512c2cb02c7d9c, 0xbb05d3d36bd3d6b8, + 0xd38ce7e7bbe76b5c, 0xdc396e6ea56e57cb, 0x95aac4c437c46ef3, 0x061b03030c03180f, + 0xacdc565645568a13, 0x885e44440d441a49, 0xfea07f7fe17fdf9e, 0x4f88a9a99ea92137, + 0x54672a2aa82a4d82, 0x6b0abbbbd6bbb16d, 0x9f87c1c123c146e2, 0xa6f153535153a202, + 0xa572dcdc57dcae8b, 0x16530b0b2c0b5827, 0x27019d9d4e9d9cd3, 0xd82b6c6cad6c47c1, + 0x62a43131c43195f5, 0xe8f37474cd7487b9, 0xf115f6f6fff6e309, 0x8c4c464605460a43, + 0x45a5acac8aac0926, 0x0fb589891e893c97, 0x28b414145014a044, 0xdfbae1e1a3e15b42, + 0x2ca616165816b04e, 0x74f73a3ae83acdd2, 0xd2066969b9696fd0, 0x124109092409482d, + 0xe0d77070dd70a7ad, 0x716fb6b6e2b6d954, 0xbd1ed0d067d0ceb7, 0xc7d6eded93ed3b7e, + 0x85e2cccc17cc2edb, 0x8468424215422a57, 0x2d2c98985a98b4c2, 0x55eda4a4aaa4490e, + 0x50752828a0285d88, 0xb8865c5c6d5cda31, 0xed6bf8f8c7f8933f, 0x11c28686228644a4, +} + +var _C3 = [256]uint64{ + 0x7830d818186018c0, 0xaf462623238c2305, 0xf991b8c6c63fc67e, 0x6fcdfbe8e887e813, + 0xa113cb878726874c, 0x626d11b8b8dab8a9, 0x0502090101040108, 0x6e9e0d4f4f214f42, + 0xee6c9b3636d836ad, 0x0451ffa6a6a2a659, 0xbdb90cd2d26fd2de, 0x06f70ef5f5f3f5fb, + 0x80f2967979f979ef, 0xcede306f6fa16f5f, 0xef3f6d91917e91fc, 0x07a4f852525552aa, + 0xfdc04760609d6027, 0x766535bcbccabc89, 0xcd2b379b9b569bac, 0x8c018a8e8e028e04, + 0x155bd2a3a3b6a371, 0x3c186c0c0c300c60, 0x8af6847b7bf17bff, 0xe16a803535d435b5, + 0x693af51d1d741de8, 0x47ddb3e0e0a7e053, 0xacb321d7d77bd7f6, 0xed999cc2c22fc25e, + 0x965c432e2eb82e6d, 0x7a96294b4b314b62, 0x21e15dfefedffea3, 0x16aed55757415782, + 0x412abd15155415a8, 0xb6eee87777c1779f, 0xeb6e923737dc37a5, 0x56d79ee5e5b3e57b, + 0xd923139f9f469f8c, 0x17fd23f0f0e7f0d3, 0x7f94204a4a354a6a, 0x95a944dada4fda9e, + 0x25b0a258587d58fa, 0xca8fcfc9c903c906, 0x8d527c2929a42955, 0x22145a0a0a280a50, + 0x4f7f50b1b1feb1e1, 0x1a5dc9a0a0baa069, 0xdad6146b6bb16b7f, 0xab17d985852e855c, + 0x73673cbdbdcebd81, 0x34ba8f5d5d695dd2, 0x5020901010401080, 0x03f507f4f4f7f4f3, + 0xc08bddcbcb0bcb16, 0xc67cd33e3ef83eed, 0x110a2d0505140528, 0xe6ce78676781671f, + 0x53d597e4e4b7e473, 0xbb4e0227279c2725, 0x5882734141194132, 0x9d0ba78b8b168b2c, + 0x0153f6a7a7a6a751, 0x94fab27d7de97dcf, 0xfb374995956e95dc, 0x9fad56d8d847d88e, + 0x30eb70fbfbcbfb8b, 0x71c1cdeeee9fee23, 0x91f8bb7c7ced7cc7, 0xe3cc716666856617, + 0x8ea77bdddd53dda6, 0x4b2eaf17175c17b8, 0x468e454747014702, 0xdc211a9e9e429e84, + 0xc589d4caca0fca1e, 0x995a582d2db42d75, 0x79632ebfbfc6bf91, 0x1b0e3f07071c0738, + 0x2347acadad8ead01, 0x2fb4b05a5a755aea, 0xb51bef838336836c, 0xff66b63333cc3385, + 0xf2c65c636391633f, 0x0a04120202080210, 0x384993aaaa92aa39, 0xa8e2de7171d971af, + 0xcf8dc6c8c807c80e, 0x7d32d119196419c8, 0x70923b4949394972, 0x9aaf5fd9d943d986, + 0x1df931f2f2eff2c3, 0x48dba8e3e3abe34b, 0x2ab6b95b5b715be2, 0x920dbc88881a8834, + 0xc8293e9a9a529aa4, 0xbe4c0b262698262d, 0xfa64bf3232c8328d, 0x4a7d59b0b0fab0e9, + 0x6acff2e9e983e91b, 0x331e770f0f3c0f78, 0xa6b733d5d573d5e6, 0xba1df480803a8074, + 0x7c6127bebec2be99, 0xde87ebcdcd13cd26, 0xe468893434d034bd, 0x75903248483d487a, + 0x24e354ffffdbffab, 0x8ff48d7a7af57af7, 0xea3d6490907a90f4, 0x3ebe9d5f5f615fc2, + 0xa0403d202080201d, 0xd5d00f6868bd6867, 0x7234ca1a1a681ad0, 0x2c41b7aeae82ae19, + 0x5e757db4b4eab4c9, 0x19a8ce54544d549a, 0xe53b7f93937693ec, 0xaa442f222288220d, + 0xe9c86364648d6407, 0x12ff2af1f1e3f1db, 0xa2e6cc7373d173bf, 0x5a24821212481290, + 0x5d807a40401d403a, 0x2810480808200840, 0xe89b95c3c32bc356, 0x7bc5dfecec97ec33, + 0x90ab4ddbdb4bdb96, 0x1f5fc0a1a1bea161, 0x8307918d8d0e8d1c, 0xc97ac83d3df43df5, + 0xf1335b97976697cc, 0x0000000000000000, 0xd483f9cfcf1bcf36, 0x87566e2b2bac2b45, + 0xb3ece17676c57697, 0xb019e68282328264, 0xa9b128d6d67fd6fe, 0x7736c31b1b6c1bd8, + 0x5b7774b5b5eeb5c1, 0x2943beafaf86af11, 0xdfd41d6a6ab56a77, 0x0da0ea50505d50ba, + 0x4c8a574545094512, 0x18fb38f3f3ebf3cb, 0xf060ad3030c0309d, 0x74c3c4efef9bef2b, + 0xc37eda3f3ffc3fe5, 0x1caac75555495592, 0x1059dba2a2b2a279, 0x65c9e9eaea8fea03, + 0xecca6a656589650f, 0x686903babad2bab9, 0x935e4a2f2fbc2f65, 0xe79d8ec0c027c04e, + 0x81a160dede5fdebe, 0x6c38fc1c1c701ce0, 0x2ee746fdfdd3fdbb, 0x649a1f4d4d294d52, + 0xe0397692927292e4, 0xbceafa7575c9758f, 0x1e0c360606180630, 0x9809ae8a8a128a24, + 0x40794bb2b2f2b2f9, 0x59d185e6e6bfe663, 0x361c7e0e0e380e70, 0x633ee71f1f7c1ff8, + 0xf7c4556262956237, 0xa3b53ad4d477d4ee, 0x324d81a8a89aa829, 0xf4315296966296c4, + 0x3aef62f9f9c3f99b, 0xf697a3c5c533c566, 0xb14a102525942535, 0x20b2ab59597959f2, + 0xae15d084842a8454, 0xa7e4c57272d572b7, 0xdd72ec3939e439d5, 0x6198164c4c2d4c5a, + 0x3bbc945e5e655eca, 0x85f09f7878fd78e7, 0xd870e53838e038dd, 0x8605988c8c0a8c14, + 0xb2bf17d1d163d1c6, 0x0b57e4a5a5aea541, 0x4dd9a1e2e2afe243, 0xf8c24e616199612f, + 0x457b42b3b3f6b3f1, 0xa542342121842115, 0xd625089c9c4a9c94, 0x663cee1e1e781ef0, + 0x5286614343114322, 0xfc93b1c7c73bc776, 0x2be54ffcfcd7fcb3, 0x1408240404100420, + 0x08a2e351515951b2, 0xc72f2599995e99bc, 0xc4da226d6da96d4f, 0x391a650d0d340d68, + 0x35e979fafacffa83, 0x84a369dfdf5bdfb6, 0x9bfca97e7ee57ed7, 0xb44819242490243d, + 0xd776fe3b3bec3bc5, 0x3d4b9aabab96ab31, 0xd181f0cece1fce3e, 0x5522991111441188, + 0x8903838f8f068f0c, 0x6b9c044e4e254e4a, 0x517366b7b7e6b7d1, 0x60cbe0ebeb8beb0b, + 0xcc78c13c3cf03cfd, 0xbf1ffd81813e817c, 0xfe354094946a94d4, 0x0cf31cf7f7fbf7eb, + 0x676f18b9b9deb9a1, 0x5f268b13134c1398, 0x9c58512c2cb02c7d, 0xb8bb05d3d36bd3d6, + 0x5cd38ce7e7bbe76b, 0xcbdc396e6ea56e57, 0xf395aac4c437c46e, 0x0f061b03030c0318, + 0x13acdc565645568a, 0x49885e44440d441a, 0x9efea07f7fe17fdf, 0x374f88a9a99ea921, + 0x8254672a2aa82a4d, 0x6d6b0abbbbd6bbb1, 0xe29f87c1c123c146, 0x02a6f153535153a2, + 0x8ba572dcdc57dcae, 0x2716530b0b2c0b58, 0xd327019d9d4e9d9c, 0xc1d82b6c6cad6c47, + 0xf562a43131c43195, 0xb9e8f37474cd7487, 0x09f115f6f6fff6e3, 0x438c4c464605460a, + 0x2645a5acac8aac09, 0x970fb589891e893c, 0x4428b414145014a0, 0x42dfbae1e1a3e15b, + 0x4e2ca616165816b0, 0xd274f73a3ae83acd, 0xd0d2066969b9696f, 0x2d12410909240948, + 0xade0d77070dd70a7, 0x54716fb6b6e2b6d9, 0xb7bd1ed0d067d0ce, 0x7ec7d6eded93ed3b, + 0xdb85e2cccc17cc2e, 0x578468424215422a, 0xc22d2c98985a98b4, 0x0e55eda4a4aaa449, + 0x8850752828a0285d, 0x31b8865c5c6d5cda, 0x3fed6bf8f8c7f893, 0xa411c28686228644, +} + +var _C4 = [256]uint64{ + 0xc07830d818186018, 0x05af462623238c23, 0x7ef991b8c6c63fc6, 0x136fcdfbe8e887e8, + 0x4ca113cb87872687, 0xa9626d11b8b8dab8, 0x0805020901010401, 0x426e9e0d4f4f214f, + 0xadee6c9b3636d836, 0x590451ffa6a6a2a6, 0xdebdb90cd2d26fd2, 0xfb06f70ef5f5f3f5, + 0xef80f2967979f979, 0x5fcede306f6fa16f, 0xfcef3f6d91917e91, 0xaa07a4f852525552, + 0x27fdc04760609d60, 0x89766535bcbccabc, 0xaccd2b379b9b569b, 0x048c018a8e8e028e, + 0x71155bd2a3a3b6a3, 0x603c186c0c0c300c, 0xff8af6847b7bf17b, 0xb5e16a803535d435, + 0xe8693af51d1d741d, 0x5347ddb3e0e0a7e0, 0xf6acb321d7d77bd7, 0x5eed999cc2c22fc2, + 0x6d965c432e2eb82e, 0x627a96294b4b314b, 0xa321e15dfefedffe, 0x8216aed557574157, + 0xa8412abd15155415, 0x9fb6eee87777c177, 0xa5eb6e923737dc37, 0x7b56d79ee5e5b3e5, + 0x8cd923139f9f469f, 0xd317fd23f0f0e7f0, 0x6a7f94204a4a354a, 0x9e95a944dada4fda, + 0xfa25b0a258587d58, 0x06ca8fcfc9c903c9, 0x558d527c2929a429, 0x5022145a0a0a280a, + 0xe14f7f50b1b1feb1, 0x691a5dc9a0a0baa0, 0x7fdad6146b6bb16b, 0x5cab17d985852e85, + 0x8173673cbdbdcebd, 0xd234ba8f5d5d695d, 0x8050209010104010, 0xf303f507f4f4f7f4, + 0x16c08bddcbcb0bcb, 0xedc67cd33e3ef83e, 0x28110a2d05051405, 0x1fe6ce7867678167, + 0x7353d597e4e4b7e4, 0x25bb4e0227279c27, 0x3258827341411941, 0x2c9d0ba78b8b168b, + 0x510153f6a7a7a6a7, 0xcf94fab27d7de97d, 0xdcfb374995956e95, 0x8e9fad56d8d847d8, + 0x8b30eb70fbfbcbfb, 0x2371c1cdeeee9fee, 0xc791f8bb7c7ced7c, 0x17e3cc7166668566, + 0xa68ea77bdddd53dd, 0xb84b2eaf17175c17, 0x02468e4547470147, 0x84dc211a9e9e429e, + 0x1ec589d4caca0fca, 0x75995a582d2db42d, 0x9179632ebfbfc6bf, 0x381b0e3f07071c07, + 0x012347acadad8ead, 0xea2fb4b05a5a755a, 0x6cb51bef83833683, 0x85ff66b63333cc33, + 0x3ff2c65c63639163, 0x100a041202020802, 0x39384993aaaa92aa, 0xafa8e2de7171d971, + 0x0ecf8dc6c8c807c8, 0xc87d32d119196419, 0x7270923b49493949, 0x869aaf5fd9d943d9, + 0xc31df931f2f2eff2, 0x4b48dba8e3e3abe3, 0xe22ab6b95b5b715b, 0x34920dbc88881a88, + 0xa4c8293e9a9a529a, 0x2dbe4c0b26269826, 0x8dfa64bf3232c832, 0xe94a7d59b0b0fab0, + 0x1b6acff2e9e983e9, 0x78331e770f0f3c0f, 0xe6a6b733d5d573d5, 0x74ba1df480803a80, + 0x997c6127bebec2be, 0x26de87ebcdcd13cd, 0xbde468893434d034, 0x7a75903248483d48, + 0xab24e354ffffdbff, 0xf78ff48d7a7af57a, 0xf4ea3d6490907a90, 0xc23ebe9d5f5f615f, + 0x1da0403d20208020, 0x67d5d00f6868bd68, 0xd07234ca1a1a681a, 0x192c41b7aeae82ae, + 0xc95e757db4b4eab4, 0x9a19a8ce54544d54, 0xece53b7f93937693, 0x0daa442f22228822, + 0x07e9c86364648d64, 0xdb12ff2af1f1e3f1, 0xbfa2e6cc7373d173, 0x905a248212124812, + 0x3a5d807a40401d40, 0x4028104808082008, 0x56e89b95c3c32bc3, 0x337bc5dfecec97ec, + 0x9690ab4ddbdb4bdb, 0x611f5fc0a1a1bea1, 0x1c8307918d8d0e8d, 0xf5c97ac83d3df43d, + 0xccf1335b97976697, 0x0000000000000000, 0x36d483f9cfcf1bcf, 0x4587566e2b2bac2b, + 0x97b3ece17676c576, 0x64b019e682823282, 0xfea9b128d6d67fd6, 0xd87736c31b1b6c1b, + 0xc15b7774b5b5eeb5, 0x112943beafaf86af, 0x77dfd41d6a6ab56a, 0xba0da0ea50505d50, + 0x124c8a5745450945, 0xcb18fb38f3f3ebf3, 0x9df060ad3030c030, 0x2b74c3c4efef9bef, + 0xe5c37eda3f3ffc3f, 0x921caac755554955, 0x791059dba2a2b2a2, 0x0365c9e9eaea8fea, + 0x0fecca6a65658965, 0xb9686903babad2ba, 0x65935e4a2f2fbc2f, 0x4ee79d8ec0c027c0, + 0xbe81a160dede5fde, 0xe06c38fc1c1c701c, 0xbb2ee746fdfdd3fd, 0x52649a1f4d4d294d, + 0xe4e0397692927292, 0x8fbceafa7575c975, 0x301e0c3606061806, 0x249809ae8a8a128a, + 0xf940794bb2b2f2b2, 0x6359d185e6e6bfe6, 0x70361c7e0e0e380e, 0xf8633ee71f1f7c1f, + 0x37f7c45562629562, 0xeea3b53ad4d477d4, 0x29324d81a8a89aa8, 0xc4f4315296966296, + 0x9b3aef62f9f9c3f9, 0x66f697a3c5c533c5, 0x35b14a1025259425, 0xf220b2ab59597959, + 0x54ae15d084842a84, 0xb7a7e4c57272d572, 0xd5dd72ec3939e439, 0x5a6198164c4c2d4c, + 0xca3bbc945e5e655e, 0xe785f09f7878fd78, 0xddd870e53838e038, 0x148605988c8c0a8c, + 0xc6b2bf17d1d163d1, 0x410b57e4a5a5aea5, 0x434dd9a1e2e2afe2, 0x2ff8c24e61619961, + 0xf1457b42b3b3f6b3, 0x15a5423421218421, 0x94d625089c9c4a9c, 0xf0663cee1e1e781e, + 0x2252866143431143, 0x76fc93b1c7c73bc7, 0xb32be54ffcfcd7fc, 0x2014082404041004, + 0xb208a2e351515951, 0xbcc72f2599995e99, 0x4fc4da226d6da96d, 0x68391a650d0d340d, + 0x8335e979fafacffa, 0xb684a369dfdf5bdf, 0xd79bfca97e7ee57e, 0x3db4481924249024, + 0xc5d776fe3b3bec3b, 0x313d4b9aabab96ab, 0x3ed181f0cece1fce, 0x8855229911114411, + 0x0c8903838f8f068f, 0x4a6b9c044e4e254e, 0xd1517366b7b7e6b7, 0x0b60cbe0ebeb8beb, + 0xfdcc78c13c3cf03c, 0x7cbf1ffd81813e81, 0xd4fe354094946a94, 0xeb0cf31cf7f7fbf7, + 0xa1676f18b9b9deb9, 0x985f268b13134c13, 0x7d9c58512c2cb02c, 0xd6b8bb05d3d36bd3, + 0x6b5cd38ce7e7bbe7, 0x57cbdc396e6ea56e, 0x6ef395aac4c437c4, 0x180f061b03030c03, + 0x8a13acdc56564556, 0x1a49885e44440d44, 0xdf9efea07f7fe17f, 0x21374f88a9a99ea9, + 0x4d8254672a2aa82a, 0xb16d6b0abbbbd6bb, 0x46e29f87c1c123c1, 0xa202a6f153535153, + 0xae8ba572dcdc57dc, 0x582716530b0b2c0b, 0x9cd327019d9d4e9d, 0x47c1d82b6c6cad6c, + 0x95f562a43131c431, 0x87b9e8f37474cd74, 0xe309f115f6f6fff6, 0x0a438c4c46460546, + 0x092645a5acac8aac, 0x3c970fb589891e89, 0xa04428b414145014, 0x5b42dfbae1e1a3e1, + 0xb04e2ca616165816, 0xcdd274f73a3ae83a, 0x6fd0d2066969b969, 0x482d124109092409, + 0xa7ade0d77070dd70, 0xd954716fb6b6e2b6, 0xceb7bd1ed0d067d0, 0x3b7ec7d6eded93ed, + 0x2edb85e2cccc17cc, 0x2a57846842421542, 0xb4c22d2c98985a98, 0x490e55eda4a4aaa4, + 0x5d8850752828a028, 0xda31b8865c5c6d5c, 0x933fed6bf8f8c7f8, 0x44a411c286862286, +} + +var _C5 = [256]uint64{ + 0x18c07830d8181860, 0x2305af462623238c, 0xc67ef991b8c6c63f, 0xe8136fcdfbe8e887, + 0x874ca113cb878726, 0xb8a9626d11b8b8da, 0x0108050209010104, 0x4f426e9e0d4f4f21, + 0x36adee6c9b3636d8, 0xa6590451ffa6a6a2, 0xd2debdb90cd2d26f, 0xf5fb06f70ef5f5f3, + 0x79ef80f2967979f9, 0x6f5fcede306f6fa1, 0x91fcef3f6d91917e, 0x52aa07a4f8525255, + 0x6027fdc04760609d, 0xbc89766535bcbcca, 0x9baccd2b379b9b56, 0x8e048c018a8e8e02, + 0xa371155bd2a3a3b6, 0x0c603c186c0c0c30, 0x7bff8af6847b7bf1, 0x35b5e16a803535d4, + 0x1de8693af51d1d74, 0xe05347ddb3e0e0a7, 0xd7f6acb321d7d77b, 0xc25eed999cc2c22f, + 0x2e6d965c432e2eb8, 0x4b627a96294b4b31, 0xfea321e15dfefedf, 0x578216aed5575741, + 0x15a8412abd151554, 0x779fb6eee87777c1, 0x37a5eb6e923737dc, 0xe57b56d79ee5e5b3, + 0x9f8cd923139f9f46, 0xf0d317fd23f0f0e7, 0x4a6a7f94204a4a35, 0xda9e95a944dada4f, + 0x58fa25b0a258587d, 0xc906ca8fcfc9c903, 0x29558d527c2929a4, 0x0a5022145a0a0a28, + 0xb1e14f7f50b1b1fe, 0xa0691a5dc9a0a0ba, 0x6b7fdad6146b6bb1, 0x855cab17d985852e, + 0xbd8173673cbdbdce, 0x5dd234ba8f5d5d69, 0x1080502090101040, 0xf4f303f507f4f4f7, + 0xcb16c08bddcbcb0b, 0x3eedc67cd33e3ef8, 0x0528110a2d050514, 0x671fe6ce78676781, + 0xe47353d597e4e4b7, 0x2725bb4e0227279c, 0x4132588273414119, 0x8b2c9d0ba78b8b16, + 0xa7510153f6a7a7a6, 0x7dcf94fab27d7de9, 0x95dcfb374995956e, 0xd88e9fad56d8d847, + 0xfb8b30eb70fbfbcb, 0xee2371c1cdeeee9f, 0x7cc791f8bb7c7ced, 0x6617e3cc71666685, + 0xdda68ea77bdddd53, 0x17b84b2eaf17175c, 0x4702468e45474701, 0x9e84dc211a9e9e42, + 0xca1ec589d4caca0f, 0x2d75995a582d2db4, 0xbf9179632ebfbfc6, 0x07381b0e3f07071c, + 0xad012347acadad8e, 0x5aea2fb4b05a5a75, 0x836cb51bef838336, 0x3385ff66b63333cc, + 0x633ff2c65c636391, 0x02100a0412020208, 0xaa39384993aaaa92, 0x71afa8e2de7171d9, + 0xc80ecf8dc6c8c807, 0x19c87d32d1191964, 0x497270923b494939, 0xd9869aaf5fd9d943, + 0xf2c31df931f2f2ef, 0xe34b48dba8e3e3ab, 0x5be22ab6b95b5b71, 0x8834920dbc88881a, + 0x9aa4c8293e9a9a52, 0x262dbe4c0b262698, 0x328dfa64bf3232c8, 0xb0e94a7d59b0b0fa, + 0xe91b6acff2e9e983, 0x0f78331e770f0f3c, 0xd5e6a6b733d5d573, 0x8074ba1df480803a, + 0xbe997c6127bebec2, 0xcd26de87ebcdcd13, 0x34bde468893434d0, 0x487a75903248483d, + 0xffab24e354ffffdb, 0x7af78ff48d7a7af5, 0x90f4ea3d6490907a, 0x5fc23ebe9d5f5f61, + 0x201da0403d202080, 0x6867d5d00f6868bd, 0x1ad07234ca1a1a68, 0xae192c41b7aeae82, + 0xb4c95e757db4b4ea, 0x549a19a8ce54544d, 0x93ece53b7f939376, 0x220daa442f222288, + 0x6407e9c86364648d, 0xf1db12ff2af1f1e3, 0x73bfa2e6cc7373d1, 0x12905a2482121248, + 0x403a5d807a40401d, 0x0840281048080820, 0xc356e89b95c3c32b, 0xec337bc5dfecec97, + 0xdb9690ab4ddbdb4b, 0xa1611f5fc0a1a1be, 0x8d1c8307918d8d0e, 0x3df5c97ac83d3df4, + 0x97ccf1335b979766, 0x0000000000000000, 0xcf36d483f9cfcf1b, 0x2b4587566e2b2bac, + 0x7697b3ece17676c5, 0x8264b019e6828232, 0xd6fea9b128d6d67f, 0x1bd87736c31b1b6c, + 0xb5c15b7774b5b5ee, 0xaf112943beafaf86, 0x6a77dfd41d6a6ab5, 0x50ba0da0ea50505d, + 0x45124c8a57454509, 0xf3cb18fb38f3f3eb, 0x309df060ad3030c0, 0xef2b74c3c4efef9b, + 0x3fe5c37eda3f3ffc, 0x55921caac7555549, 0xa2791059dba2a2b2, 0xea0365c9e9eaea8f, + 0x650fecca6a656589, 0xbab9686903babad2, 0x2f65935e4a2f2fbc, 0xc04ee79d8ec0c027, + 0xdebe81a160dede5f, 0x1ce06c38fc1c1c70, 0xfdbb2ee746fdfdd3, 0x4d52649a1f4d4d29, + 0x92e4e03976929272, 0x758fbceafa7575c9, 0x06301e0c36060618, 0x8a249809ae8a8a12, + 0xb2f940794bb2b2f2, 0xe66359d185e6e6bf, 0x0e70361c7e0e0e38, 0x1ff8633ee71f1f7c, + 0x6237f7c455626295, 0xd4eea3b53ad4d477, 0xa829324d81a8a89a, 0x96c4f43152969662, + 0xf99b3aef62f9f9c3, 0xc566f697a3c5c533, 0x2535b14a10252594, 0x59f220b2ab595979, + 0x8454ae15d084842a, 0x72b7a7e4c57272d5, 0x39d5dd72ec3939e4, 0x4c5a6198164c4c2d, + 0x5eca3bbc945e5e65, 0x78e785f09f7878fd, 0x38ddd870e53838e0, 0x8c148605988c8c0a, + 0xd1c6b2bf17d1d163, 0xa5410b57e4a5a5ae, 0xe2434dd9a1e2e2af, 0x612ff8c24e616199, + 0xb3f1457b42b3b3f6, 0x2115a54234212184, 0x9c94d625089c9c4a, 0x1ef0663cee1e1e78, + 0x4322528661434311, 0xc776fc93b1c7c73b, 0xfcb32be54ffcfcd7, 0x0420140824040410, + 0x51b208a2e3515159, 0x99bcc72f2599995e, 0x6d4fc4da226d6da9, 0x0d68391a650d0d34, + 0xfa8335e979fafacf, 0xdfb684a369dfdf5b, 0x7ed79bfca97e7ee5, 0x243db44819242490, + 0x3bc5d776fe3b3bec, 0xab313d4b9aabab96, 0xce3ed181f0cece1f, 0x1188552299111144, + 0x8f0c8903838f8f06, 0x4e4a6b9c044e4e25, 0xb7d1517366b7b7e6, 0xeb0b60cbe0ebeb8b, + 0x3cfdcc78c13c3cf0, 0x817cbf1ffd81813e, 0x94d4fe354094946a, 0xf7eb0cf31cf7f7fb, + 0xb9a1676f18b9b9de, 0x13985f268b13134c, 0x2c7d9c58512c2cb0, 0xd3d6b8bb05d3d36b, + 0xe76b5cd38ce7e7bb, 0x6e57cbdc396e6ea5, 0xc46ef395aac4c437, 0x03180f061b03030c, + 0x568a13acdc565645, 0x441a49885e44440d, 0x7fdf9efea07f7fe1, 0xa921374f88a9a99e, + 0x2a4d8254672a2aa8, 0xbbb16d6b0abbbbd6, 0xc146e29f87c1c123, 0x53a202a6f1535351, + 0xdcae8ba572dcdc57, 0x0b582716530b0b2c, 0x9d9cd327019d9d4e, 0x6c47c1d82b6c6cad, + 0x3195f562a43131c4, 0x7487b9e8f37474cd, 0xf6e309f115f6f6ff, 0x460a438c4c464605, + 0xac092645a5acac8a, 0x893c970fb589891e, 0x14a04428b4141450, 0xe15b42dfbae1e1a3, + 0x16b04e2ca6161658, 0x3acdd274f73a3ae8, 0x696fd0d2066969b9, 0x09482d1241090924, + 0x70a7ade0d77070dd, 0xb6d954716fb6b6e2, 0xd0ceb7bd1ed0d067, 0xed3b7ec7d6eded93, + 0xcc2edb85e2cccc17, 0x422a578468424215, 0x98b4c22d2c98985a, 0xa4490e55eda4a4aa, + 0x285d8850752828a0, 0x5cda31b8865c5c6d, 0xf8933fed6bf8f8c7, 0x8644a411c2868622, +} + +var _C6 = [256]uint64{ + 0x6018c07830d81818, 0x8c2305af46262323, 0x3fc67ef991b8c6c6, 0x87e8136fcdfbe8e8, + 0x26874ca113cb8787, 0xdab8a9626d11b8b8, 0x0401080502090101, 0x214f426e9e0d4f4f, + 0xd836adee6c9b3636, 0xa2a6590451ffa6a6, 0x6fd2debdb90cd2d2, 0xf3f5fb06f70ef5f5, + 0xf979ef80f2967979, 0xa16f5fcede306f6f, 0x7e91fcef3f6d9191, 0x5552aa07a4f85252, + 0x9d6027fdc0476060, 0xcabc89766535bcbc, 0x569baccd2b379b9b, 0x028e048c018a8e8e, + 0xb6a371155bd2a3a3, 0x300c603c186c0c0c, 0xf17bff8af6847b7b, 0xd435b5e16a803535, + 0x741de8693af51d1d, 0xa7e05347ddb3e0e0, 0x7bd7f6acb321d7d7, 0x2fc25eed999cc2c2, + 0xb82e6d965c432e2e, 0x314b627a96294b4b, 0xdffea321e15dfefe, 0x41578216aed55757, + 0x5415a8412abd1515, 0xc1779fb6eee87777, 0xdc37a5eb6e923737, 0xb3e57b56d79ee5e5, + 0x469f8cd923139f9f, 0xe7f0d317fd23f0f0, 0x354a6a7f94204a4a, 0x4fda9e95a944dada, + 0x7d58fa25b0a25858, 0x03c906ca8fcfc9c9, 0xa429558d527c2929, 0x280a5022145a0a0a, + 0xfeb1e14f7f50b1b1, 0xbaa0691a5dc9a0a0, 0xb16b7fdad6146b6b, 0x2e855cab17d98585, + 0xcebd8173673cbdbd, 0x695dd234ba8f5d5d, 0x4010805020901010, 0xf7f4f303f507f4f4, + 0x0bcb16c08bddcbcb, 0xf83eedc67cd33e3e, 0x140528110a2d0505, 0x81671fe6ce786767, + 0xb7e47353d597e4e4, 0x9c2725bb4e022727, 0x1941325882734141, 0x168b2c9d0ba78b8b, + 0xa6a7510153f6a7a7, 0xe97dcf94fab27d7d, 0x6e95dcfb37499595, 0x47d88e9fad56d8d8, + 0xcbfb8b30eb70fbfb, 0x9fee2371c1cdeeee, 0xed7cc791f8bb7c7c, 0x856617e3cc716666, + 0x53dda68ea77bdddd, 0x5c17b84b2eaf1717, 0x014702468e454747, 0x429e84dc211a9e9e, + 0x0fca1ec589d4caca, 0xb42d75995a582d2d, 0xc6bf9179632ebfbf, 0x1c07381b0e3f0707, + 0x8ead012347acadad, 0x755aea2fb4b05a5a, 0x36836cb51bef8383, 0xcc3385ff66b63333, + 0x91633ff2c65c6363, 0x0802100a04120202, 0x92aa39384993aaaa, 0xd971afa8e2de7171, + 0x07c80ecf8dc6c8c8, 0x6419c87d32d11919, 0x39497270923b4949, 0x43d9869aaf5fd9d9, + 0xeff2c31df931f2f2, 0xabe34b48dba8e3e3, 0x715be22ab6b95b5b, 0x1a8834920dbc8888, + 0x529aa4c8293e9a9a, 0x98262dbe4c0b2626, 0xc8328dfa64bf3232, 0xfab0e94a7d59b0b0, + 0x83e91b6acff2e9e9, 0x3c0f78331e770f0f, 0x73d5e6a6b733d5d5, 0x3a8074ba1df48080, + 0xc2be997c6127bebe, 0x13cd26de87ebcdcd, 0xd034bde468893434, 0x3d487a7590324848, + 0xdbffab24e354ffff, 0xf57af78ff48d7a7a, 0x7a90f4ea3d649090, 0x615fc23ebe9d5f5f, + 0x80201da0403d2020, 0xbd6867d5d00f6868, 0x681ad07234ca1a1a, 0x82ae192c41b7aeae, + 0xeab4c95e757db4b4, 0x4d549a19a8ce5454, 0x7693ece53b7f9393, 0x88220daa442f2222, + 0x8d6407e9c8636464, 0xe3f1db12ff2af1f1, 0xd173bfa2e6cc7373, 0x4812905a24821212, + 0x1d403a5d807a4040, 0x2008402810480808, 0x2bc356e89b95c3c3, 0x97ec337bc5dfecec, + 0x4bdb9690ab4ddbdb, 0xbea1611f5fc0a1a1, 0x0e8d1c8307918d8d, 0xf43df5c97ac83d3d, + 0x6697ccf1335b9797, 0x0000000000000000, 0x1bcf36d483f9cfcf, 0xac2b4587566e2b2b, + 0xc57697b3ece17676, 0x328264b019e68282, 0x7fd6fea9b128d6d6, 0x6c1bd87736c31b1b, + 0xeeb5c15b7774b5b5, 0x86af112943beafaf, 0xb56a77dfd41d6a6a, 0x5d50ba0da0ea5050, + 0x0945124c8a574545, 0xebf3cb18fb38f3f3, 0xc0309df060ad3030, 0x9bef2b74c3c4efef, + 0xfc3fe5c37eda3f3f, 0x4955921caac75555, 0xb2a2791059dba2a2, 0x8fea0365c9e9eaea, + 0x89650fecca6a6565, 0xd2bab9686903baba, 0xbc2f65935e4a2f2f, 0x27c04ee79d8ec0c0, + 0x5fdebe81a160dede, 0x701ce06c38fc1c1c, 0xd3fdbb2ee746fdfd, 0x294d52649a1f4d4d, + 0x7292e4e039769292, 0xc9758fbceafa7575, 0x1806301e0c360606, 0x128a249809ae8a8a, + 0xf2b2f940794bb2b2, 0xbfe66359d185e6e6, 0x380e70361c7e0e0e, 0x7c1ff8633ee71f1f, + 0x956237f7c4556262, 0x77d4eea3b53ad4d4, 0x9aa829324d81a8a8, 0x6296c4f431529696, + 0xc3f99b3aef62f9f9, 0x33c566f697a3c5c5, 0x942535b14a102525, 0x7959f220b2ab5959, + 0x2a8454ae15d08484, 0xd572b7a7e4c57272, 0xe439d5dd72ec3939, 0x2d4c5a6198164c4c, + 0x655eca3bbc945e5e, 0xfd78e785f09f7878, 0xe038ddd870e53838, 0x0a8c148605988c8c, + 0x63d1c6b2bf17d1d1, 0xaea5410b57e4a5a5, 0xafe2434dd9a1e2e2, 0x99612ff8c24e6161, + 0xf6b3f1457b42b3b3, 0x842115a542342121, 0x4a9c94d625089c9c, 0x781ef0663cee1e1e, + 0x1143225286614343, 0x3bc776fc93b1c7c7, 0xd7fcb32be54ffcfc, 0x1004201408240404, + 0x5951b208a2e35151, 0x5e99bcc72f259999, 0xa96d4fc4da226d6d, 0x340d68391a650d0d, + 0xcffa8335e979fafa, 0x5bdfb684a369dfdf, 0xe57ed79bfca97e7e, 0x90243db448192424, + 0xec3bc5d776fe3b3b, 0x96ab313d4b9aabab, 0x1fce3ed181f0cece, 0x4411885522991111, + 0x068f0c8903838f8f, 0x254e4a6b9c044e4e, 0xe6b7d1517366b7b7, 0x8beb0b60cbe0ebeb, + 0xf03cfdcc78c13c3c, 0x3e817cbf1ffd8181, 0x6a94d4fe35409494, 0xfbf7eb0cf31cf7f7, + 0xdeb9a1676f18b9b9, 0x4c13985f268b1313, 0xb02c7d9c58512c2c, 0x6bd3d6b8bb05d3d3, + 0xbbe76b5cd38ce7e7, 0xa56e57cbdc396e6e, 0x37c46ef395aac4c4, 0x0c03180f061b0303, + 0x45568a13acdc5656, 0x0d441a49885e4444, 0xe17fdf9efea07f7f, 0x9ea921374f88a9a9, + 0xa82a4d8254672a2a, 0xd6bbb16d6b0abbbb, 0x23c146e29f87c1c1, 0x5153a202a6f15353, + 0x57dcae8ba572dcdc, 0x2c0b582716530b0b, 0x4e9d9cd327019d9d, 0xad6c47c1d82b6c6c, + 0xc43195f562a43131, 0xcd7487b9e8f37474, 0xfff6e309f115f6f6, 0x05460a438c4c4646, + 0x8aac092645a5acac, 0x1e893c970fb58989, 0x5014a04428b41414, 0xa3e15b42dfbae1e1, + 0x5816b04e2ca61616, 0xe83acdd274f73a3a, 0xb9696fd0d2066969, 0x2409482d12410909, + 0xdd70a7ade0d77070, 0xe2b6d954716fb6b6, 0x67d0ceb7bd1ed0d0, 0x93ed3b7ec7d6eded, + 0x17cc2edb85e2cccc, 0x15422a5784684242, 0x5a98b4c22d2c9898, 0xaaa4490e55eda4a4, + 0xa0285d8850752828, 0x6d5cda31b8865c5c, 0xc7f8933fed6bf8f8, 0x228644a411c28686, +} + +var _C7 = [256]uint64{ + 0x186018c07830d818, 0x238c2305af462623, 0xc63fc67ef991b8c6, 0xe887e8136fcdfbe8, + 0x8726874ca113cb87, 0xb8dab8a9626d11b8, 0x0104010805020901, 0x4f214f426e9e0d4f, + 0x36d836adee6c9b36, 0xa6a2a6590451ffa6, 0xd26fd2debdb90cd2, 0xf5f3f5fb06f70ef5, + 0x79f979ef80f29679, 0x6fa16f5fcede306f, 0x917e91fcef3f6d91, 0x525552aa07a4f852, + 0x609d6027fdc04760, 0xbccabc89766535bc, 0x9b569baccd2b379b, 0x8e028e048c018a8e, + 0xa3b6a371155bd2a3, 0x0c300c603c186c0c, 0x7bf17bff8af6847b, 0x35d435b5e16a8035, + 0x1d741de8693af51d, 0xe0a7e05347ddb3e0, 0xd77bd7f6acb321d7, 0xc22fc25eed999cc2, + 0x2eb82e6d965c432e, 0x4b314b627a96294b, 0xfedffea321e15dfe, 0x5741578216aed557, + 0x155415a8412abd15, 0x77c1779fb6eee877, 0x37dc37a5eb6e9237, 0xe5b3e57b56d79ee5, + 0x9f469f8cd923139f, 0xf0e7f0d317fd23f0, 0x4a354a6a7f94204a, 0xda4fda9e95a944da, + 0x587d58fa25b0a258, 0xc903c906ca8fcfc9, 0x29a429558d527c29, 0x0a280a5022145a0a, + 0xb1feb1e14f7f50b1, 0xa0baa0691a5dc9a0, 0x6bb16b7fdad6146b, 0x852e855cab17d985, + 0xbdcebd8173673cbd, 0x5d695dd234ba8f5d, 0x1040108050209010, 0xf4f7f4f303f507f4, + 0xcb0bcb16c08bddcb, 0x3ef83eedc67cd33e, 0x05140528110a2d05, 0x6781671fe6ce7867, + 0xe4b7e47353d597e4, 0x279c2725bb4e0227, 0x4119413258827341, 0x8b168b2c9d0ba78b, + 0xa7a6a7510153f6a7, 0x7de97dcf94fab27d, 0x956e95dcfb374995, 0xd847d88e9fad56d8, + 0xfbcbfb8b30eb70fb, 0xee9fee2371c1cdee, 0x7ced7cc791f8bb7c, 0x66856617e3cc7166, + 0xdd53dda68ea77bdd, 0x175c17b84b2eaf17, 0x47014702468e4547, 0x9e429e84dc211a9e, + 0xca0fca1ec589d4ca, 0x2db42d75995a582d, 0xbfc6bf9179632ebf, 0x071c07381b0e3f07, + 0xad8ead012347acad, 0x5a755aea2fb4b05a, 0x8336836cb51bef83, 0x33cc3385ff66b633, + 0x6391633ff2c65c63, 0x020802100a041202, 0xaa92aa39384993aa, 0x71d971afa8e2de71, + 0xc807c80ecf8dc6c8, 0x196419c87d32d119, 0x4939497270923b49, 0xd943d9869aaf5fd9, + 0xf2eff2c31df931f2, 0xe3abe34b48dba8e3, 0x5b715be22ab6b95b, 0x881a8834920dbc88, + 0x9a529aa4c8293e9a, 0x2698262dbe4c0b26, 0x32c8328dfa64bf32, 0xb0fab0e94a7d59b0, + 0xe983e91b6acff2e9, 0x0f3c0f78331e770f, 0xd573d5e6a6b733d5, 0x803a8074ba1df480, + 0xbec2be997c6127be, 0xcd13cd26de87ebcd, 0x34d034bde4688934, 0x483d487a75903248, + 0xffdbffab24e354ff, 0x7af57af78ff48d7a, 0x907a90f4ea3d6490, 0x5f615fc23ebe9d5f, + 0x2080201da0403d20, 0x68bd6867d5d00f68, 0x1a681ad07234ca1a, 0xae82ae192c41b7ae, + 0xb4eab4c95e757db4, 0x544d549a19a8ce54, 0x937693ece53b7f93, 0x2288220daa442f22, + 0x648d6407e9c86364, 0xf1e3f1db12ff2af1, 0x73d173bfa2e6cc73, 0x124812905a248212, + 0x401d403a5d807a40, 0x0820084028104808, 0xc32bc356e89b95c3, 0xec97ec337bc5dfec, + 0xdb4bdb9690ab4ddb, 0xa1bea1611f5fc0a1, 0x8d0e8d1c8307918d, 0x3df43df5c97ac83d, + 0x976697ccf1335b97, 0x0000000000000000, 0xcf1bcf36d483f9cf, 0x2bac2b4587566e2b, + 0x76c57697b3ece176, 0x82328264b019e682, 0xd67fd6fea9b128d6, 0x1b6c1bd87736c31b, + 0xb5eeb5c15b7774b5, 0xaf86af112943beaf, 0x6ab56a77dfd41d6a, 0x505d50ba0da0ea50, + 0x450945124c8a5745, 0xf3ebf3cb18fb38f3, 0x30c0309df060ad30, 0xef9bef2b74c3c4ef, + 0x3ffc3fe5c37eda3f, 0x554955921caac755, 0xa2b2a2791059dba2, 0xea8fea0365c9e9ea, + 0x6589650fecca6a65, 0xbad2bab9686903ba, 0x2fbc2f65935e4a2f, 0xc027c04ee79d8ec0, + 0xde5fdebe81a160de, 0x1c701ce06c38fc1c, 0xfdd3fdbb2ee746fd, 0x4d294d52649a1f4d, + 0x927292e4e0397692, 0x75c9758fbceafa75, 0x061806301e0c3606, 0x8a128a249809ae8a, + 0xb2f2b2f940794bb2, 0xe6bfe66359d185e6, 0x0e380e70361c7e0e, 0x1f7c1ff8633ee71f, + 0x62956237f7c45562, 0xd477d4eea3b53ad4, 0xa89aa829324d81a8, 0x966296c4f4315296, + 0xf9c3f99b3aef62f9, 0xc533c566f697a3c5, 0x25942535b14a1025, 0x597959f220b2ab59, + 0x842a8454ae15d084, 0x72d572b7a7e4c572, 0x39e439d5dd72ec39, 0x4c2d4c5a6198164c, + 0x5e655eca3bbc945e, 0x78fd78e785f09f78, 0x38e038ddd870e538, 0x8c0a8c148605988c, + 0xd163d1c6b2bf17d1, 0xa5aea5410b57e4a5, 0xe2afe2434dd9a1e2, 0x6199612ff8c24e61, + 0xb3f6b3f1457b42b3, 0x21842115a5423421, 0x9c4a9c94d625089c, 0x1e781ef0663cee1e, + 0x4311432252866143, 0xc73bc776fc93b1c7, 0xfcd7fcb32be54ffc, 0x0410042014082404, + 0x515951b208a2e351, 0x995e99bcc72f2599, 0x6da96d4fc4da226d, 0x0d340d68391a650d, + 0xfacffa8335e979fa, 0xdf5bdfb684a369df, 0x7ee57ed79bfca97e, 0x2490243db4481924, + 0x3bec3bc5d776fe3b, 0xab96ab313d4b9aab, 0xce1fce3ed181f0ce, 0x1144118855229911, + 0x8f068f0c8903838f, 0x4e254e4a6b9c044e, 0xb7e6b7d1517366b7, 0xeb8beb0b60cbe0eb, + 0x3cf03cfdcc78c13c, 0x813e817cbf1ffd81, 0x946a94d4fe354094, 0xf7fbf7eb0cf31cf7, + 0xb9deb9a1676f18b9, 0x134c13985f268b13, 0x2cb02c7d9c58512c, 0xd36bd3d6b8bb05d3, + 0xe7bbe76b5cd38ce7, 0x6ea56e57cbdc396e, 0xc437c46ef395aac4, 0x030c03180f061b03, + 0x5645568a13acdc56, 0x440d441a49885e44, 0x7fe17fdf9efea07f, 0xa99ea921374f88a9, + 0x2aa82a4d8254672a, 0xbbd6bbb16d6b0abb, 0xc123c146e29f87c1, 0x535153a202a6f153, + 0xdc57dcae8ba572dc, 0x0b2c0b582716530b, 0x9d4e9d9cd327019d, 0x6cad6c47c1d82b6c, + 0x31c43195f562a431, 0x74cd7487b9e8f374, 0xf6fff6e309f115f6, 0x4605460a438c4c46, + 0xac8aac092645a5ac, 0x891e893c970fb589, 0x145014a04428b414, 0xe1a3e15b42dfbae1, + 0x165816b04e2ca616, 0x3ae83acdd274f73a, 0x69b9696fd0d20669, 0x092409482d124109, + 0x70dd70a7ade0d770, 0xb6e2b6d954716fb6, 0xd067d0ceb7bd1ed0, 0xed93ed3b7ec7d6ed, + 0xcc17cc2edb85e2cc, 0x4215422a57846842, 0x985a98b4c22d2c98, 0xa4aaa4490e55eda4, + 0x28a0285d88507528, 0x5c6d5cda31b8865c, 0xf8c7f8933fed6bf8, 0x86228644a411c286, +} + +var rc = [rounds + 1]uint64{ + 0x0000000000000000, + 0x1823c6e887b8014f, + 0x36a6d2f5796f9152, + 0x60bc9b8ea30c7b35, + 0x1de0d7c22e4bfe57, + 0x157737e59ff04ada, + 0x58c9290ab1a06b85, + 0xbd5d10f4cb3e0567, + 0xe427418ba77d95d8, + 0xfbee7c66dd17479e, + 0xca2dbf07ad5a8333, +} diff --git a/crypto/x16rv3/whirlpool/whirlpool.go b/crypto/x16rv3/whirlpool/whirlpool.go new file mode 100644 index 0000000..0c16bef --- /dev/null +++ b/crypto/x16rv3/whirlpool/whirlpool.go @@ -0,0 +1,240 @@ +// Copyright 2012 Jimmy Zelinskie. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// Package whirlpool implements the ISO/IEC 10118-3:2004 whirlpool +// cryptographic hash. Whirlpool is defined in +// http://www.larc.usp.br/~pbarreto/WhirlpoolPage.html +package whirlpool + +import ( + "encoding/binary" + "hash" +) + +// whirlpool represents the partial evaluation of a checksum. +type whirlpool struct { + bitLength [lengthBytes]byte // Number of hashed bits. + buffer [wblockBytes]byte // Buffer of data to be hashed. + bufferBits int // Current number of bits on the buffer. + bufferPos int // Current byte location on buffer. + hash [digestBytes / 8]uint64 // Hash state. +} + +// New returns a new hash.Hash computing the whirlpool checksum. +func New() hash.Hash { + return new(whirlpool) +} + +func (w *whirlpool) Reset() { + // Cleanup the buffer. + w.buffer = [wblockBytes]byte{} + w.bufferBits = 0 + w.bufferPos = 0 + + // Cleanup the digest. + w.hash = [digestBytes / 8]uint64{} + + // Clean up the number of hashed bits. + w.bitLength = [lengthBytes]byte{} +} + +func (w *whirlpool) Size() int { + return digestBytes +} + +func (w *whirlpool) BlockSize() int { + return wblockBytes +} + +func (w *whirlpool) transform() { + var ( + K [8]uint64 // Round key. + block [8]uint64 // μ(buffer). + state [8]uint64 // Cipher state. + L [8]uint64 + ) + + // Map the buffer to a block. + for i := 0; i < 8; i++ { + b := 8 * i + block[i] = binary.BigEndian.Uint64(w.buffer[b:]) + } + + // Compute & apply K^0 to the cipher state. + for i := 0; i < 8; i++ { + K[i] = w.hash[i] + state[i] = block[i] ^ K[i] + } + + // Iterate over all the rounds. + for r := 1; r <= rounds; r++ { + // Compute K^rounds from K^(rounds-1). + for i := 0; i < 8; i++ { + L[i] = _C0[byte(K[i%8]>>56)] ^ + _C1[byte(K[(i+7)%8]>>48)] ^ + _C2[byte(K[(i+6)%8]>>40)] ^ + _C3[byte(K[(i+5)%8]>>32)] ^ + _C4[byte(K[(i+4)%8]>>24)] ^ + _C5[byte(K[(i+3)%8]>>16)] ^ + _C6[byte(K[(i+2)%8]>>8)] ^ + _C7[byte(K[(i+1)%8])] + } + L[0] ^= rc[r] + + for i := 0; i < 8; i++ { + K[i] = L[i] + } + + // Apply r-th round transformation. + for i := 0; i < 8; i++ { + L[i] = _C0[byte(state[i%8]>>56)] ^ + _C1[byte(state[(i+7)%8]>>48)] ^ + _C2[byte(state[(i+6)%8]>>40)] ^ + _C3[byte(state[(i+5)%8]>>32)] ^ + _C4[byte(state[(i+4)%8]>>24)] ^ + _C5[byte(state[(i+3)%8]>>16)] ^ + _C6[byte(state[(i+2)%8]>>8)] ^ + _C7[byte(state[(i+1)%8])] ^ + K[i%8] + } + + for i := 0; i < 8; i++ { + state[i] = L[i] + } + } + + // Apply the Miyaguchi-Preneel compression function. + for i := 0; i < 8; i++ { + w.hash[i] ^= state[i] ^ block[i] + } +} + +func (w *whirlpool) Write(source []byte) (int, error) { + var ( + sourcePos int // Index of the leftmost source. + nn int = len(source) // Num of bytes to process. + sourceBits uint64 = uint64(nn * 8) // Num of bits to process. + sourceGap uint = uint((8 - (int(sourceBits & 7))) & 7) // Space on source[sourcePos]. + bufferRem uint = uint(w.bufferBits & 7) // Occupied bits on buffer[bufferPos]. + b uint32 // Current byte. + ) + + // Tally the length of the data added. + for i, carry, value := 31, uint32(0), uint64(sourceBits); i >= 0 && (carry != 0 || value != 0); i-- { + carry += uint32(w.bitLength[i]) + (uint32(value & 0xff)) + w.bitLength[i] = byte(carry) + carry >>= 8 + value >>= 8 + } + + // Process data in chunks of 8 bits. + for sourceBits > 8 { + // Take a byte form the source. + b = uint32(((source[sourcePos] << sourceGap) & 0xff) | + ((source[sourcePos+1] & 0xff) >> (8 - sourceGap))) + + // Process this byte. + w.buffer[w.bufferPos] |= uint8(b >> bufferRem) + w.bufferPos++ + w.bufferBits += int(8 - bufferRem) + + if w.bufferBits == digestBits { + // Process this block. + w.transform() + // Reset the buffer. + w.bufferBits = 0 + w.bufferPos = 0 + } + w.buffer[w.bufferPos] = byte(b << (8 - bufferRem)) + w.bufferBits += int(bufferRem) + + // Proceed to remaining data. + sourceBits -= 8 + sourcePos++ + } + + // 0 <= sourceBits <= 8; All data leftover is in source[sourcePos]. + if sourceBits > 0 { + b = uint32((source[sourcePos] << sourceGap) & 0xff) // The bits are left-justified. + + // Process the remaining bits. + w.buffer[w.bufferPos] |= byte(b) >> bufferRem + } else { + b = 0 + } + + if uint64(bufferRem)+sourceBits < 8 { + // The remaining data fits on the buffer[bufferPos]. + w.bufferBits += int(sourceBits) + } else { + // The buffer[bufferPos] is full. + w.bufferPos++ + w.bufferBits += 8 - int(bufferRem) // bufferBits = 8*bufferPos + sourceBits -= uint64(8 - bufferRem) + + // Now, 0 <= sourceBits <= 8; all data leftover is in source[sourcePos]. + if w.bufferBits == digestBits { + // Process this data block. + w.transform() + // Reset buffer. + w.bufferBits = 0 + w.bufferPos = 0 + } + w.buffer[w.bufferPos] = byte(b << (8 - bufferRem)) + w.bufferBits += int(sourceBits) + } + return nn, nil +} + +func (w *whirlpool) Sum(in []byte) []byte { + // Copy the whirlpool so that the caller can keep summing. + n := *w + + // Append a 1-bit. + n.buffer[n.bufferPos] |= 0x80 >> (uint(n.bufferBits) & 7) + n.bufferPos++ + + // The remaining bits should be 0. Pad with 0s to be complete. + if n.bufferPos > wblockBytes-lengthBytes { + if n.bufferPos < wblockBytes { + for i := 0; i < wblockBytes-n.bufferPos; i++ { + n.buffer[n.bufferPos+i] = 0 + } + } + // Process this data block. + n.transform() + // Reset the buffer. + n.bufferPos = 0 + } + + if n.bufferPos < wblockBytes-lengthBytes { + for i := 0; i < (wblockBytes-lengthBytes)-n.bufferPos; i++ { + n.buffer[n.bufferPos+i] = 0 + } + } + n.bufferPos = wblockBytes - lengthBytes + + // Append the bit length of the hashed data. + for i := 0; i < lengthBytes; i++ { + n.buffer[n.bufferPos+i] = n.bitLength[i] + } + + // Process this data block. + n.transform() + + // Return the final digest as []byte. + var digest [digestBytes]byte + for i := 0; i < digestBytes/8; i++ { + digest[i*8] = byte(n.hash[i] >> 56) + digest[i*8+1] = byte(n.hash[i] >> 48) + digest[i*8+2] = byte(n.hash[i] >> 40) + digest[i*8+3] = byte(n.hash[i] >> 32) + digest[i*8+4] = byte(n.hash[i] >> 24) + digest[i*8+5] = byte(n.hash[i] >> 16) + digest[i*8+6] = byte(n.hash[i] >> 8) + digest[i*8+7] = byte(n.hash[i]) + } + + return append(in, digest[:digestBytes]...) +} diff --git a/crypto/x16rv3/whirlpool/whirlpool_test.go b/crypto/x16rv3/whirlpool/whirlpool_test.go new file mode 100644 index 0000000..97d6748 --- /dev/null +++ b/crypto/x16rv3/whirlpool/whirlpool_test.go @@ -0,0 +1,80 @@ +// Copyright 2012 Jimmy Zelinskie. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +package whirlpool_test + +import ( + "fmt" + "github.com/Qitmeer/qng-core/crypto/x16rv3/whirlpool" + "io" + "testing" +) + +type whirlpoolTest struct { + out string + in string +} + +var golden = []whirlpoolTest{ + {"19FA61D75522A4669B44E39C1D2E1726C530232130D407F89AFEE0964997F7A73E83BE698B288FEBCF88E3E03C4F0757EA8964E59B63D93708B138CC42A66EB3", ""}, + {"8ACA2602792AEC6F11A67206531FB7D7F0DFF59413145E6973C45001D0087B42D11BC645413AEFF63A42391A39145A591A92200D560195E53B478584FDAE231A", "a"}, + {"33E24E6CBEBF168016942DF8A7174048F9CEBC45CBD829C3B94B401A498ACB11C5ABCCA7F2A1238AAF534371E87A4E4B19758965D5A35A7CAD87CF5517043D97", "ab"}, + {"4E2448A4C6F486BB16B6562C73B4020BF3043E3A731BCE721AE1B303D97E6D4C7181EEBDB6C57E277D0E34957114CBD6C797FC9D95D8B582D225292076D4EEF5", "abc"}, + {"BDA164F0B930C43A1BACB5DF880B205D15AC847ADD35145BF25D991AE74F0B72B1AC794F8AACDA5FCB3C47038C954742B1857B5856519DE4D1E54BFA2FA4EAC5", "abcd"}, + {"5D745E26CCB20FE655D39C9E7F69455758FBAE541CB892B3581E4869244AB35B4FD6078F5D28B1F1A217452A67D9801033D92724A221255A5E377FE9E9E5F0B2", "abcde"}, + {"A73E425459567308BA5F9EB2AE23570D0D0575EB1357ECF6AC88D4E0358B0AC3EA2371261F5D4C070211784B525911B9EEC0AD968429BB7C7891D341CFF4E811", "abcdef"}, + {"08B388F68FD3EB51906AC3D3C699B8E9C3AC65D7CEB49D2E34F8A482CBC3082BC401CEAD90E85A97B8647C948BF35E448740B79659F3BEE42145F0BD653D1F25", "abcdefg"}, + {"1F1A84D30612820243AFE2022712F9DAC6D07C4C8BB41B40EACAB0184C8D82275DA5BCADBB35C7CA1960FF21C90ACBAE8C14E48D9309E4819027900E882C7AD9", "abcdefgh"}, + {"11882BC9A31AC1CF1C41DCD9FD6FDD3CCDB9B017FC7F4582680134F314D7BB49AF4C71F5A920BC0A6A3C1FF9A00021BF361D9867FE636B0BC1DA1552E4237DE4", "abcdefghi"}, + {"717163DE24809FFCF7FF6D5ABA72B8D67C2129721953C252A4DDFB107614BE857CBD76A9D5927DE14633D6BDC9DDF335160B919DB5C6F12CB2E6549181912EEF", "abcdefghij"}, + {"2C06DA809D8497667DE1563A2AC1C6D8DF8233D7C1E6CCB2E3DA542BD237DF553AA90AD0DDF3AEFB711FBBD26C36F667408206DDC8047736987075805803A315", "Discard medicine more than two years old."}, + {"510B9442AFED7E7945D7524D00AF0239E84EB0B3644EFA9481EE62154D04D82680BEC1741701AAF98D8C887BB875F15399CC11CF27A27E066B2ADCF7E443CEB2", "He who has a shady past knows that nice guys finish last."}, + {"761D7DB6292384CCC4A806A18404031D89DBBCE5C22BB284A1E5D5979F44E37348857E555BABF61B7EACBDC8DF543F6477A5611330866D6660ED7C62655A5555", "I wouldn't marry him with a ten foot pole."}, + {"C87BD0FEAA7146BD0576796CE48ABC05D861C31C567599E4A8DD01B9D66536E373229F7A0BFA32FBD438CD64C56CA405DBF0C83CD89C9F8F9A750ACFFF9B255D", "Free! Free!/A trip/to Mars/for 900/empty jars/Burma Shave"}, + {"B30647F490036F0AD029E6E882296A87757B163679CC910A0B9DC5D26C1572B3467C8F198EED4AAF8A592041A38A673A53BCAB1CF87647AEC2119A1875A149A8", "The days of the digital watch are numbered. -Tom Stoppard"}, + {"E37E7BE075772E277EA7DF46E317B13E7B748B12BC214F7A55D9ED230C13C73FECB573A0AC216F2F59C15E32609786263D933CAD9E8C8009293EBD42A7626672", "Nepal premier won't resign."}, + {"96E52A21BDC3B1486CDBCE43059DF4D765290B6D330C4B01A68A8081930FB0DEF854EA6260A022CC26D8257262BC71B4B0DB1CBA546F849D3839738BE56ADD04", "For every action there is an equal and opposite government program."}, + {"636CE4B33A674AAF0BB4E2371D85B116019D5708DC6434F6DB9A455151981F2C36D7C500B040AF09EC2D5A394018EB656AE21356564318A0FE8F0D1C1B6750EC", "His money is twice tainted: 'taint yours and 'taint mine."}, + {"41C151D2FE36CEA72F51729CA38D255EE062F34A5303C7445E8113B970E24B4AF52E05B74CB5E7EBE06E26EAE8CC1476736012D92E5582750F86123BD378F48D", "There is no reason for any individual to have a computer in their home. -Ken Olsen, 1977"}, + {"4111F7CD1B917CC403B120A848C2F5F3B6FF4324190438FDE65EC74C16105340C0852400200D99FADF51910A15F3BAC49C1C1953745082FAF992A2AE24C71086", "It's a tiny change to the code and not completely disgusting. - Bob Manchek"}, + {"7760D96148F6AE372E3C8A499654D7EF0CB7C1DCBEB441FF9DC7576416C39C82490D5162AEB595C207D16C3850F2C6F39EA8DFBD865EBD8EABFA2A0FCDBBA245", "size: a.out: bad magic"}, + {"9FE97F7F0AC799D710F6EDA3905D89E5267FA74E87F57174473AA7ADE31BF07DDC0448908E14C9E65F7814661E3596501D3E50D51F46CAFEC661942BDA922D79", "The major problem is with sendmail. -Mark Horton"}, + {"225F9AE6AFC27412F8AED205E1A91996CDB8C75988E4CF3783E8A0D0B62C0FDDC4BA6133F262608BF0EABE188C99A497F9E948AEFD1F1558AA322BFF9967C96F", "Give me a rock, paper and scissors and I will move the world. CCFestoon"}, + {"954ADA35E1D0A0A909131B7CEA6140B9BF3336E83420336FC292B6E9BF5BC724AFDFFDB0F4316D221FD628C51EC81B36466288F95C20DC223874BC99450EFA6F", "If the enemy is within range, then so are you."}, + {"1B3E60898B4CFDCBB691EF4EAB151E03BC48F45823726D8035EFC21E35EB5E635079D2F6BC813D0B850B7B6B18D8BC1580225392A4EE0D4B472058895D34189F", "It's well we cannot hear the screams/That we create in others' dreams."}, + {"06F11A0193C8F65458123D756A0F0C81D33A5716540F8DDEA2D6EDAFAA426111428A83F251FD2111E42AFD4F2854B4A58157DC714730892AD10C7338EA28BD1C", "You remind me of a TV show, but that's all right: I watch it anyway."}, + {"7650550B8B5CB9077D92AAEECA7893B5BF5F1CBE65AB1461F5797B4B1C4141F0F6A6F9F4854EBEBF77651F117892F1C8A9E48C7A6E27A589DDF6EC46255883D5", "C is as portable as Stonehedge!!"}, + {"4DA620619C79436319EAB7CBFE59C2E248264837528378620DB9D4B0B5BA2F79532156CFE37A8D16F455AAD7FABDE46B48DEF2BE7CB564389A0FD341B4F3E57E", "Even if I could be Shakespeare, I think I should still choose to be Faraday. - A. Huxley"}, + {"D405124ABE5C46AEBD4FB71BF7C3C56AD0E0F25728789EBFFB68648BFD8786765194CA0BF6D0EF11AE0E5B9381A00E5B04E80C8FE98F7EFF65ED3655113A4A06", "The fugacity of a constituent in a mixture of gases at a given temperature is proportional to its mole fraction. Lewis-Randall Rule"}, + {"863E4A9320C80173A332D84C495B818104650B1FEAF39A9E6438415C33EB2F2F41630655B7A72E798DE0A9E12FBEF367B2FE241AC93CDFE02FE8F3EEC8C518F4", "How can you write a big system without C++? -Paul Glick"}, +} + +func TestGolden(t *testing.T) { + for i := 0; i < len(golden); i++ { + g := golden[i] + c := whirlpool.New() + for j := 0; j < 3; j++ { + if j < 2 { + io.WriteString(c, g.in) + } else { + io.WriteString(c, g.in[0:len(g.in)/2]) + c.Sum(nil) + io.WriteString(c, g.in[len(g.in)/2:]) + } + s := fmt.Sprintf("%X", c.Sum(nil)) + if s != g.out { + t.Fatalf("whirlpool[%d](%s) = %s want %s", j, g.in, s, g.out) + } + c.Reset() + } + } +} + +func ExampleNew() { + h := whirlpool.New() + io.WriteString(h, "His money is twice tainted: 'taint yours and 'taint mine.") + fmt.Printf("% x", h.Sum(nil)) + // Output: + // 63 6c e4 b3 3a 67 4a af 0b b4 e2 37 1d 85 b1 16 01 9d 57 08 dc 64 34 f6 db 9a 45 51 51 98 1f 2c 36 d7 c5 00 b0 40 af 09 ec 2d 5a 39 40 18 eb 65 6a e2 13 56 56 43 18 a0 fe 8f 0d 1c 1b 67 50 ec +} diff --git a/crypto/x16rv3/x16.go b/crypto/x16rv3/x16.go new file mode 100644 index 0000000..5745c7b --- /dev/null +++ b/crypto/x16rv3/x16.go @@ -0,0 +1,227 @@ +package x16rv3 + +import ( + "crypto/sha512" + "github.com/Qitmeer/qng-core/crypto/x16rv3/aes" + "github.com/Qitmeer/qng-core/crypto/x16rv3/blake" + "github.com/Qitmeer/qng-core/crypto/x16rv3/bmw" + "github.com/Qitmeer/qng-core/crypto/x16rv3/cubehash" + "github.com/Qitmeer/qng-core/crypto/x16rv3/echo" + "github.com/Qitmeer/qng-core/crypto/x16rv3/fugue" + "github.com/Qitmeer/qng-core/crypto/x16rv3/groestl" + "github.com/Qitmeer/qng-core/crypto/x16rv3/hamsi" + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" + "github.com/Qitmeer/qng-core/crypto/x16rv3/jh" + "github.com/Qitmeer/qng-core/crypto/x16rv3/keccak" + "github.com/Qitmeer/qng-core/crypto/x16rv3/luffa" + "github.com/Qitmeer/qng-core/crypto/x16rv3/shabal" + "github.com/Qitmeer/qng-core/crypto/x16rv3/shavite" + "github.com/Qitmeer/qng-core/crypto/x16rv3/simd" + "github.com/Qitmeer/qng-core/crypto/x16rv3/skein" + "github.com/Qitmeer/qng-core/crypto/x16rv3/whirlpool" +) + +const ( + BLAKE = iota + BMW + GROESTL + JH + KECCAK + SKEIN + LUFFA + CUBEHASH + SHAVITE + SIMD + ECHO + HAMSI + FUGUE + SHABAL + WHIRLPOOL + SHA512 + HASH_FUNC_COUNT +) + +var x16rv3_hashOrder = [HASH_FUNC_COUNT]uint{} + +func aes_expand_key_soft(header []byte) [12]Uint128 { + var keyData = make([]byte, 192) + copy(keyData[:96], header[:96]) + var key = [12]Uint128{} + for i := 0; i < 12; i++ { + key[i] = FromBytes(keyData[i*16 : i*16+16]) + } + key[6] = Xor128(key[0], key[2]) + key[7] = Xor128(key[1], key[3]) + key[8] = Xor128(key[0], key[4]) + key[9] = Xor128(key[1], key[5]) + key[10] = Xor128(key[2], key[4]) + key[11] = Xor128(key[3], key[5]) + return key +} + +func get_x16rv3_order(inp []byte) []byte { + size := 113 + input := make([]byte, size) + if len(inp) < size { + size = len(inp) + } + copy(input[:size], inp[:size]) + var ek [12]Uint128 + var endiandata [128]byte + copy(endiandata[:113], input[:113]) + ek = aes_expand_key_soft(input[4:]) + var aesdata = [12]Uint128{} + var data_in [8]Uint128 + for i := 0; i < 8; i++ { + data_in[i] = FromBytes(endiandata[i*16 : i*16+16]) + } + for j := 0; j < 8; j++ { + aesdata[j] = FromIntsArray(aes.Aes_enc_soft(aesdata[j].ToUint64(), data_in[j].ToUint64(), ek[j].ToUint64())) + } + var xor_out = Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[0]) + aesdata[8] = FromIntsArray(aes.Aes_enc_soft(aesdata[8].ToUint64(), xor_out.ToUint64(), ek[8].ToUint64())) + xor_out = Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[1]) + aesdata[9] = FromIntsArray(aes.Aes_enc_soft(aesdata[9].ToUint64(), xor_out.ToUint64(), ek[9].ToUint64())) + xor_out = Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[2]) + aesdata[10] = FromIntsArray(aes.Aes_enc_soft(aesdata[10].ToUint64(), xor_out.ToUint64(), ek[10].ToUint64())) + xor_out = Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[3]) + aesdata[11] = FromIntsArray(aes.Aes_enc_soft(aesdata[11].ToUint64(), xor_out.ToUint64(), ek[11].ToUint64())) + outPut := ArrayToBytes(aesdata[8:]) + aesData6 := aesdata[6].GetBytes() + for k := 0; k < 16; k++ { + x16rv3_hashOrder[k] = uint(aesData6[k] & 0x0f) + } + return outPut +} + +// Hash contains the state objects +// required to perform the x16.Hash. +type Hash struct { + tha [64]byte + thb [64]byte + + blake hash.Digest + bmw hash.Digest + cubehash hash.Digest + echo hash.Digest + groestl hash.Digest + jh hash.Digest + keccak hash.Digest + luffa hash.Digest + shavite hash.Digest + simd hash.Digest + skein hash.Digest +} + +// New returns a new object to compute a x16 hash. +func New() *Hash { + ref := &Hash{} + + ref.blake = blake.New() + ref.bmw = bmw.New() + ref.cubehash = cubehash.New() + ref.echo = echo.New() + ref.groestl = groestl.New() + ref.jh = jh.New() + ref.keccak = keccak.New() + ref.luffa = luffa.New() + ref.shavite = shavite.New() + ref.simd = simd.New() + ref.skein = skein.New() + + return ref +} + +// Hash computes the hash from the src bytes and stores the result in dst. +func (ref *Hash) Hash(src []byte, dst []byte) { + outHash := get_x16rv3_order(src) + in := ref.tha[:] + copy(in[:], outHash[:]) + out := ref.thb[:] + for i := 0; i < 16; i++ { + switch x16rv3_hashOrder[i] { + case BLAKE: + ref.blake.Write(in) + ref.blake.Close(out, 0, 0) + copy(in, out) + case BMW: + ref.bmw.Write(in) + ref.bmw.Close(out, 0, 0) + copy(in, out) + case GROESTL: + ref.groestl.Write(in) + ref.groestl.Close(out, 0, 0) + copy(in, out) + case SKEIN: + ref.skein.Write(in) + ref.skein.Close(out, 0, 0) + copy(in, out) + case JH: + ref.jh.Write(in) + ref.jh.Close(out, 0, 0) + copy(in, out) + case KECCAK: + ref.keccak.Write(in) + ref.keccak.Close(out, 0, 0) + copy(in, out) + case LUFFA: + ref.luffa.Write(in) + ref.luffa.Close(out, 0, 0) + copy(in, out) + case CUBEHASH: + ref.cubehash.Write(in) + ref.cubehash.Close(out, 0, 0) + copy(in, out) + case SHAVITE: + ref.shavite.Write(in) + ref.shavite.Close(out, 0, 0) + copy(in, out) + case SIMD: + ref.simd.Write(in) + ref.simd.Close(out, 0, 0) + copy(in, out) + case ECHO: + ref.echo.Write(in) + ref.echo.Close(out, 0, 0) + copy(in, out) + case HAMSI: + hamsi.Sph_hamsi512_process(in[:], out[:], 64) + copy(in, out) + case FUGUE: + fugue.Sph_fugue512_process(in[:], out[:], 64) + copy(in, out) + case SHABAL: + shabal.Shabal_512_process(in[:], out[:], 64) + copy(in, out) + case WHIRLPOOL: + wh := whirlpool.New() + wh.Write(in) + out = wh.Sum(nil) + copy(in, out) + case SHA512: + sha := sha512.New() + sha.Write(in) + out = sha.Sum(nil) + copy(in, out) + } + } + copy(dst, in[:len(dst)]) +} + +func Sum256(in []byte) [32]byte { + out := make([]byte, 32) + x16rv3 := New() + x16rv3.Hash(in, out) + var sum [32]byte + copy(sum[:], out[:32]) + return sum +} + +func Sum512(in []byte) [64]byte { + out := make([]byte, 64) + x16rv3 := New() + x16rv3.Hash(in, out) + var sum [64]byte + copy(sum[:], out[:]) + return sum +} diff --git a/crypto/x16rv3/x16_test.go b/crypto/x16rv3/x16_test.go new file mode 100644 index 0000000..5d2e832 --- /dev/null +++ b/crypto/x16rv3/x16_test.go @@ -0,0 +1,21 @@ +package x16rv3 + +import ( + "encoding/binary" + "fmt" + "github.com/stretchr/testify/assert" + "testing" +) + +func TestHash(t *testing.T) { + b := []byte("helloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhel") + x16rv3 := New() + out := make([]byte, 32) + x16rv3.Hash(b, out) + s := "" + for i := 0; i < 8; i++ { + a := binary.LittleEndian.Uint32(out[i*4 : 4*(i+1)]) + s += fmt.Sprintf("%x", a) + } + assert.Equal(t, s, "c768288d52785bf19a2f1e6da377d020eff11d3593de3aaf3869e583d3095816") +} diff --git a/crypto/x8r16/x8r16.go b/crypto/x8r16/x8r16.go new file mode 100644 index 0000000..14ee974 --- /dev/null +++ b/crypto/x8r16/x8r16.go @@ -0,0 +1,186 @@ +package x8r16 + +import ( + "github.com/Qitmeer/qng-core/crypto/x16rv3" + "github.com/Qitmeer/qng-core/crypto/x16rv3/aes" + "github.com/Qitmeer/qng-core/crypto/x16rv3/blake" + "github.com/Qitmeer/qng-core/crypto/x16rv3/bmw" + "github.com/Qitmeer/qng-core/crypto/x16rv3/cubehash" + "github.com/Qitmeer/qng-core/crypto/x16rv3/echo" + "github.com/Qitmeer/qng-core/crypto/x16rv3/groestl" + "github.com/Qitmeer/qng-core/crypto/x16rv3/hamsi" + "github.com/Qitmeer/qng-core/crypto/x16rv3/hash" + "github.com/Qitmeer/qng-core/crypto/x16rv3/jh" + "github.com/Qitmeer/qng-core/crypto/x16rv3/keccak" + "github.com/Qitmeer/qng-core/crypto/x16rv3/luffa" + "github.com/Qitmeer/qng-core/crypto/x16rv3/shabal" + "github.com/Qitmeer/qng-core/crypto/x16rv3/shavite" + "github.com/Qitmeer/qng-core/crypto/x16rv3/simd" + "github.com/Qitmeer/qng-core/crypto/x16rv3/skein" +) + +const ( + BLAKE = iota + BMW + JH + KECCAK + SKEIN + LUFFA + HAMSI + SHABAL + HASH_FUNC_COUNT +) + +const X8R16_LOOP_CNT = 16 + +var x8r16_hashOrder = [X8R16_LOOP_CNT]uint{} + +func aes_expand_key_soft(header []byte) [12]x16rv3.Uint128 { + var keyData = make([]byte, 192) + copy(keyData[:96], header[:96]) + var key = [12]x16rv3.Uint128{} + for i := 0; i < 12; i++ { + key[i] = x16rv3.FromBytes(keyData[i*16 : i*16+16]) + } + key[6] = x16rv3.Xor128(key[0], key[2]) + key[7] = x16rv3.Xor128(key[1], key[3]) + key[8] = x16rv3.Xor128(key[0], key[4]) + key[9] = x16rv3.Xor128(key[1], key[5]) + key[10] = x16rv3.Xor128(key[2], key[4]) + key[11] = x16rv3.Xor128(key[3], key[5]) + return key +} + +func get_x8r16_order(inp []byte) []byte { + size := 113 + input := make([]byte, size) + if len(inp) < size { + size = len(inp) + } + copy(input[:size], inp[:size]) + var ek [12]x16rv3.Uint128 + var endiandata [128]byte + copy(endiandata[:113], input[:113]) + ek = aes_expand_key_soft(input[4:]) + var aesdata = [12]x16rv3.Uint128{} + var data_in [8]x16rv3.Uint128 + for i := 0; i < 8; i++ { + data_in[i] = x16rv3.FromBytes(endiandata[i*16 : i*16+16]) + } + for j := 0; j < 8; j++ { + aesdata[j] = x16rv3.FromIntsArray(aes.Aes_enc_soft(aesdata[j].ToUint64(), data_in[j].ToUint64(), ek[j].ToUint64())) + } + var xor_out = x16rv3.Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[0]) + aesdata[8] = x16rv3.FromIntsArray(aes.Aes_enc_soft(aesdata[8].ToUint64(), xor_out.ToUint64(), ek[8].ToUint64())) + xor_out = x16rv3.Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[1]) + aesdata[9] = x16rv3.FromIntsArray(aes.Aes_enc_soft(aesdata[9].ToUint64(), xor_out.ToUint64(), ek[9].ToUint64())) + xor_out = x16rv3.Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[2]) + aesdata[10] = x16rv3.FromIntsArray(aes.Aes_enc_soft(aesdata[10].ToUint64(), xor_out.ToUint64(), ek[10].ToUint64())) + xor_out = x16rv3.Ur128_5xor(aesdata[4], aesdata[5], aesdata[6], aesdata[7], aesdata[3]) + aesdata[11] = x16rv3.FromIntsArray(aes.Aes_enc_soft(aesdata[11].ToUint64(), xor_out.ToUint64(), ek[11].ToUint64())) + outPut := x16rv3.ArrayToBytes(aesdata[8:]) + aesData6 := aesdata[6].GetBytes() + for k := 0; k < X8R16_LOOP_CNT; k++ { + x8r16_hashOrder[k] = uint(aesData6[k] & 0x07) + } + return outPut +} + +// Hash contains the state objects +// required to perform the x16.Hash. +type Hash struct { + tha [64]byte + thb [64]byte + + blake hash.Digest + bmw hash.Digest + cubehash hash.Digest + echo hash.Digest + groestl hash.Digest + jh hash.Digest + keccak hash.Digest + luffa hash.Digest + shavite hash.Digest + simd hash.Digest + skein hash.Digest +} + +// New returns a new object to compute a x16 hash. +func New() *Hash { + ref := &Hash{} + + ref.blake = blake.New() + ref.bmw = bmw.New() + ref.cubehash = cubehash.New() + ref.echo = echo.New() + ref.groestl = groestl.New() + ref.jh = jh.New() + ref.keccak = keccak.New() + ref.luffa = luffa.New() + ref.shavite = shavite.New() + ref.simd = simd.New() + ref.skein = skein.New() + + return ref +} + +// Hash computes the hash from the src bytes and stores the result in dst. +func (ref *Hash) Hash(src []byte, dst []byte) { + outHash := get_x8r16_order(src) + in := ref.tha[:] + copy(in[:], outHash[:]) + out := ref.thb[:] + for i := 0; i < X8R16_LOOP_CNT; i++ { + switch x8r16_hashOrder[i] { + case BLAKE: + ref.blake.Write(in) + ref.blake.Close(out, 0, 0) + copy(in, out) + case BMW: + ref.bmw.Write(in) + ref.bmw.Close(out, 0, 0) + copy(in, out) + case SKEIN: + ref.skein.Write(in) + ref.skein.Close(out, 0, 0) + copy(in, out) + case JH: + ref.jh.Write(in) + ref.jh.Close(out, 0, 0) + copy(in, out) + case KECCAK: + ref.keccak.Write(in) + ref.keccak.Close(out, 0, 0) + copy(in, out) + case LUFFA: + ref.luffa.Write(in) + ref.luffa.Close(out, 0, 0) + copy(in, out) + case HAMSI: + hamsi.Sph_hamsi512_process(in[:], out[:], 64) + copy(in, out) + case SHABAL: + shabal.Shabal_512_process(in[:], out[:], 64) + copy(in, out) + } + } + copy(dst, in[:len(dst)]) +} + +func Sum256(in []byte) [32]byte { + out := make([]byte, 32) + x8r16 := New() + x8r16.Hash(in, out) + var sum [32]byte + copy(sum[:], out[:32]) + return sum +} + +func Sum512(in []byte) [64]byte { + out := make([]byte, 64) + x8r16 := New() + x8r16.Hash(in, out) + var sum [64]byte + copy(sum[:], out[:]) + return sum +} diff --git a/crypto/x8r16/x8r6_test.go b/crypto/x8r16/x8r6_test.go new file mode 100644 index 0000000..ad06227 --- /dev/null +++ b/crypto/x8r16/x8r6_test.go @@ -0,0 +1,17 @@ +package x8r16_test + +import ( + "encoding/hex" + "fmt" + "github.com/Qitmeer/qng-core/crypto/x8r16" +) + +func ExampleNew() { + b := []byte("helloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhelloworldhel") + h := x8r16.New() + out := make([]byte, 32) + h.Hash(b, out) + fmt.Printf(hex.EncodeToString(out)) + // output: + // 52ac0c51e33f308f838998528d492cb135162a90f235121a65033f143c214a16 +} diff --git a/engine/txscript/consensus.go b/engine/txscript/consensus.go new file mode 100644 index 0000000..d27e198 --- /dev/null +++ b/engine/txscript/consensus.go @@ -0,0 +1,87 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "fmt" +) + +const ( + // LockTimeThreshold is the number below which a lock time is + // interpreted to be a block number. Since an average of one block + // is generated per 10 minutes, this allows blocks for about 9,512 + // years. + LockTimeThreshold = 5e8 // Tue Nov 5 00:53:20 1985 UTC + + // maxUniqueCoinbaseNullDataSize is the maximum number of bytes allowed + // in the pushed data output of the coinbase output that is used to + // ensure the coinbase has a unique hash. + maxUniqueCoinbaseNullDataSize = 256 +) + +// ExtractCoinbaseNullData ensures the passed script is a nulldata script as +// required by the consensus rules for the coinbase output that is used to +// ensure the coinbase has a unique hash and returns the data it pushes. +func ExtractCoinbaseNullData(pkScript []byte) ([]byte, error) { + pops, err := parseScript(pkScript) + if err != nil { + return nil, fmt.Errorf("script parse failure") + } + + // The nulldata in the coinbase must be a single OP_RETURN followed by a + // data push up to maxUniqueCoinbaseNullDataSize bytes. + // + // NOTE: This is intentionally not using GetScriptClass and the related + // functions because those are specifically for standardness checks which + // can change over time and this function is specifically intended to be + // used by the consensus rules. + // + // Also of note is that technically normal nulldata scripts support encoding + // numbers via small opcodes, however the consensus rules require the block + // height to be encoded as a 4-byte little-endian uint32 pushed via a normal + // data push, as opposed to using the normal number handling semantics of + // scripts, so this is specialized to accommodate that. + if len(pops) == 1 && pops[0].opcode.value == OP_RETURN { + return nil, nil + } + if len(pops) == 2 && + pops[0].opcode.value == OP_RETURN && + (isSmallInt(pops[1].opcode) || pops[1].opcode.value <= + OP_PUSHDATA4) && + len(pops[1].data) <= maxUniqueCoinbaseNullDataSize { + return pops[1].data, nil + } + + return nil, fmt.Errorf("not a properly-formed nulldata script") +} + +// ExtractCoinbaseData +func ExtractCoinbaseData(pkScript []byte) ([][]byte, error) { + pops, err := parseScript(pkScript) + if err != nil { + return nil, fmt.Errorf("script parse failure") + } + result := [][]byte{} + for _, v := range pops { + if v.opcode.value == OP_0 { + result = append(result, []byte{0}) + } else if v.opcode.value >= OP_1 && v.opcode.value <= OP_16 { + result = append(result, []byte{v.opcode.value - (OP_1 - 1)}) + } else { + result = append(result, v.GetData()) + } + } + return result, nil +} + +func ParseScript(script []byte) ([]ParsedOpcode, error) { + return parseScript(script) +} + +func MakeScriptNum(v []byte, requireMinimal bool, scriptNumLen int) (scriptNum, error) { + return makeScriptNum(v, requireMinimal, scriptNumLen) +} diff --git a/engine/txscript/engine.go b/engine/txscript/engine.go new file mode 100644 index 0000000..d12baca --- /dev/null +++ b/engine/txscript/engine.go @@ -0,0 +1,768 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "fmt" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "math/big" +) + +// ScriptFlags is a bitmask defining additional operations or tests that will be +// done when executing a script pair. +type ScriptFlags uint32 + +const ( + // ScriptBip16 defines whether the bip16 threshold has passed and thus + // pay-to-script hash transactions will be fully validated. + ScriptBip16 ScriptFlags = 1 << iota + + // ScriptDiscourageUpgradableNops defines whether to verify that + // currently unused opcodes in the NOP and UNKNOWN families are reserved + // for future upgrades. This flag must not be used for consensus + // critical code nor applied to blocks as this flag is only for stricter + // standard transaction checks. This flag is only applied when the + // above opcodes are executed. + ScriptDiscourageUpgradableNops + + // ScriptVerifyCheckLockTimeVerify defines whether to verify that + // a transaction output is spendable based on the locktime. + // This is BIP0065. + ScriptVerifyCheckLockTimeVerify + + // ScriptVerifyCheckSequenceVerify defines whether to allow execution + // pathways of a script to be restricted based on the age of the output + // being spent. This is BIP0112. + ScriptVerifyCheckSequenceVerify + + // ScriptVerifyCleanStack defines that the stack must contain only + // one stack element after evaluation and that the element must be + // true if interpreted as a boolean. This is rule 6 of BIP0062. + // This flag should never be used without the ScriptBip16 flag. + ScriptVerifyCleanStack + + // ScriptVerifyDERSignatures defines that signatures are required + // to compily with the DER format. + ScriptVerifyDERSignatures + + // ScriptVerifyLowS defines that signtures are required to comply with + // the DER format and whose S value is <= order / 2. This is rule 5 + // of BIP0062. + ScriptVerifyLowS + + // ScriptVerifyMinimalData defines that signatures must use the smallest + // push operator. This is both rules 3 and 4 of BIP0062. + ScriptVerifyMinimalData + + // ScriptVerifySigPushOnly defines that signature scripts must contain + // only pushed data. This is rule 2 of BIP0062. + ScriptVerifySigPushOnly + + // ScriptVerifyStrictEncoding defines that signature scripts and + // public keys must follow the strict encoding requirements. + ScriptVerifyStrictEncoding + + // ScriptVerifySHA256 defines whether to treat opcode 192 (previously + // OP_UNKNOWN192) as the OP_SHA256 opcode which consumes the top item of + // the data stack and replaces it with the sha256 of it. + ScriptVerifySHA256 +) + +const ( + // maxStackSize is the maximum combined height of stack and alt stack + // during execution. + maxStackSize = 1024 + + // maxScriptSize is the maximum allowed length of a raw script. + maxScriptSize = 16384 + + // TODO refactor script version, it's not supported now + // DefaultScriptVersion is the default scripting language version + // representing tx script. + DefaultScriptVersion = uint16(0) +) + +// halforder is used to tame ECDSA malleability (see BIP0062). +var halfOrder = new(big.Int).Rsh(ecc.Secp256k1.GetN(), 1) + +// Engine is the virtual machine that executes scripts. +type Engine struct { + scripts [][]ParsedOpcode + savedFirstStack [][]byte // stack from first script for bip16 scripts + sigCache *SigCache + + scriptIdx int + scriptOff int + lastCodeSep int + dstack stack // data stack + astack stack // alt stack + tx types.Transaction + scriptTx types.ScriptTx + txIdx int + condStack []int + numOps int + flags ScriptFlags + version uint16 + bip16 bool // treat execution as pay-to-script-hash +} + +// hasFlag returns whether the script engine instance has the passed flag set. +func (vm *Engine) hasFlag(flag ScriptFlags) bool { + return vm.flags&flag == flag +} + +// isBranchExecuting returns whether or not the current conditional branch is +// actively executing. For example, when the data stack has an OP_FALSE on it +// and an OP_IF is encountered, the branch is inactive until an OP_ELSE or +// OP_ENDIF is encountered. It properly handles nested conditionals. +func (vm *Engine) isBranchExecuting() bool { + if len(vm.condStack) == 0 { + return true + } + return vm.condStack[len(vm.condStack)-1] == OpCondTrue +} + +// executeOpcode peforms execution on the passed opcode. It takes into account +// whether or not it is hidden by conditionals, but some rules still must be +// tested in this case. +func (vm *Engine) executeOpcode(pop *ParsedOpcode) error { + // Disabled opcodes are fail on program counter. + if pop.isDisabled() { + return ErrStackOpDisabled + } + + // Always-illegal opcodes are fail on program counter. + if pop.alwaysIllegal() { + return ErrStackReservedOpcode + } + + // Note that this includes OP_RESERVED which counts as a push operation. + if pop.opcode.value > OP_16 { + vm.numOps++ + if vm.numOps > MaxOpsPerScript { + return ErrStackTooManyOperations + } + + } else if len(pop.data) > MaxScriptElementSize { + return ErrStackElementTooBig + } + + // Nothing left to do when this is not a conditional opcode and it is + // not in an executing branch. + if !vm.isBranchExecuting() && !pop.isConditional() { + return nil + } + + // Ensure all executed data push opcodes use the minimal encoding when + // the minimal data verification flag is set. + if vm.dstack.verifyMinimalData && vm.isBranchExecuting() && + pop.opcode.value >= 0 && pop.opcode.value <= OP_PUSHDATA4 { + + if err := pop.checkMinimalDataPush(); err != nil { + return err + } + } + + return pop.opcode.opfunc(pop, vm) +} + +// disasm is a helper function to produce the output for DisasmPC and +// DisasmScript. It produces the opcode prefixed by the program counter at the +// provided position in the script. It does no error checking and leaves that +// to the caller to provide a valid offset. +func (vm *Engine) disasm(scriptIdx int, scriptOff int) string { + return fmt.Sprintf("%02x:%04x: %s", scriptIdx, scriptOff, + vm.scripts[scriptIdx][scriptOff].print(false)) +} + +// validPC returns an error if the current script position is valid for +// execution, nil otherwise. +func (vm *Engine) validPC() error { + if vm.scriptIdx >= len(vm.scripts) { + return fmt.Errorf("past input scripts %v:%v %v:xxxx", + vm.scriptIdx, vm.scriptOff, len(vm.scripts)) + } + if vm.scriptOff >= len(vm.scripts[vm.scriptIdx]) { + return fmt.Errorf("past input scripts %v:%v %v:%04d", + vm.scriptIdx, vm.scriptOff, vm.scriptIdx, + len(vm.scripts[vm.scriptIdx])) + } + return nil +} + +// curPC returns either the current script and offset, or an error if the +// position isn't valid. +func (vm *Engine) curPC() (script int, off int, err error) { + err = vm.validPC() + if err != nil { + return 0, 0, err + } + return vm.scriptIdx, vm.scriptOff, nil +} + +// DisasmPC returns the string for the disassembly of the opcode that will be +// next to execute when Step() is called. +func (vm *Engine) DisasmPC() (string, error) { + scriptIdx, scriptOff, err := vm.curPC() + if err != nil { + return "", err + } + return vm.disasm(scriptIdx, scriptOff), nil +} + +// DisasmScript returns the disassembly string for the script at the requested +// offset index. Index 0 is the signature script and 1 is the public key +// script. +func (vm *Engine) DisasmScript(idx int) (string, error) { + if idx >= len(vm.scripts) { + return "", ErrStackInvalidIndex + } + + var disstr string + for i := range vm.scripts[idx] { + disstr = disstr + vm.disasm(idx, i) + "\n" + } + return disstr, nil +} + +// CheckErrorCondition returns nil if the running script has ended and was +// successful, leaving a a true boolean on the stack. An error otherwise, +// including if the script has not finished. +func (vm *Engine) CheckErrorCondition(finalScript bool) error { + // Check execution is actually done. When pc is past the end of script + // array there are no more scripts to run. + if vm.scriptIdx < len(vm.scripts) { + return ErrStackScriptUnfinished + } + if finalScript && vm.hasFlag(ScriptVerifyCleanStack) && + vm.dstack.Depth() != 1 { + return ErrStackCleanStack + } else if vm.dstack.Depth() < 1 { + return ErrStackEmptyStack + } + + v, err := vm.dstack.PopBool() + if err != nil { + return err + } + if !v { + // Log interesting data. + log.Trace(fmt.Sprintf("%v", newLogClosure(func() string { + dis0, _ := vm.DisasmScript(0) + dis1, _ := vm.DisasmScript(1) + return fmt.Sprintf("scripts failed: script0: %s\n"+ + "script1: %s", dis0, dis1) + }))) + return ErrStackScriptFailed + } + return nil +} + +// Step will execute the next instruction and move the program counter to the +// next opcode in the script, or the next script if the current has ended. Step +// will return true in the case that the last opcode was successfully executed. +// +// The result of calling Step or any other method is undefined if an error is +// returned. +func (vm *Engine) Step() (done bool, err error) { + // Verify that it is pointing to a valid script address. + err = vm.validPC() + if err != nil { + return true, err + } + opcode := &vm.scripts[vm.scriptIdx][vm.scriptOff] + + // Execute the opcode while taking into account several things such as + // disabled opcodes, illegal opcodes, maximum allowed operations per + // script, maximum script element sizes, and conditionals. + err = vm.executeOpcode(opcode) + if err != nil { + return true, err + } + + // The number of elements in the combination of the data and alt stacks + // must not exceed the maximum number of stack elements allowed. + if vm.dstack.Depth()+vm.astack.Depth() > maxStackSize { + return false, ErrStackOverflow + } + + // Prepare for next instruction. + vm.scriptOff++ + if vm.scriptOff >= len(vm.scripts[vm.scriptIdx]) { + // Illegal to have an `if' that straddles two scripts. + if len(vm.condStack) != 0 { + return false, ErrStackMissingEndif + } + + // Alt stack doesn't persist. + _ = vm.astack.DropN(vm.astack.Depth()) + + vm.numOps = 0 // number of ops is per script. + vm.scriptOff = 0 + if vm.scriptIdx == 0 && vm.bip16 { + vm.scriptIdx++ + vm.savedFirstStack = vm.GetStack() + } else if vm.scriptIdx == 1 && vm.bip16 { + // Put us past the end for CheckErrorCondition() + vm.scriptIdx++ + // Check script ran successfully and pull the script + // out of the first stack and execute that. + err := vm.CheckErrorCondition(false) + if err != nil { + return false, err + } + + script := vm.savedFirstStack[len(vm.savedFirstStack)-1] + pops, err := parseScript(script) + if err != nil { + return false, err + } + vm.scripts = append(vm.scripts, pops) + + // Set stack to be the stack from first script minus the + // script itself + vm.SetStack(vm.savedFirstStack[:len(vm.savedFirstStack)-1]) + } else { + vm.scriptIdx++ + } + // there are zero length scripts in the wild + if vm.scriptIdx < len(vm.scripts) && + vm.scriptOff >= len(vm.scripts[vm.scriptIdx]) { + vm.scriptIdx++ + } + vm.lastCodeSep = 0 + if vm.scriptIdx >= len(vm.scripts) { + return true, nil + } + } + return false, nil +} + +// Execute will execute all scripts in the script engine and return either nil +// for successful validation or an error if one occurred. +func (vm *Engine) Execute() (err error) { + // All non-default version scripts currently execute without issue, + // making all outputs to them anyone can pay. In the future this + // will allow for the addition of new scripting languages. + if vm.version != DefaultScriptVersion { + return nil + } + + done := false + for !done { + log.Trace("tx-engine executing", "step", newLogClosure(func() string { + dis, err := vm.DisasmPC() + if err != nil { + return fmt.Sprintf("stepping (%v)", err) + } + return fmt.Sprintf("stepping %v", dis) + })) + + done, err = vm.Step() + if err != nil { + return err + } + log.Trace(fmt.Sprintf("%v", newLogClosure(func() string { + var dstr, astr string + + // if we're tracing, dump the stacks. + if vm.dstack.Depth() != 0 { + dstr = "Stack:\n" + vm.dstack.String() + } + if vm.astack.Depth() != 0 { + astr = "AltStack:\n" + vm.astack.String() + } + + return dstr + astr + }))) + } + + return vm.CheckErrorCondition(true) +} + +// subScript returns the script since the last OP_CODESEPARATOR. +func (vm *Engine) subScript() []ParsedOpcode { + return vm.scripts[vm.scriptIdx][vm.lastCodeSep:] +} + +// checkHashTypeEncoding returns whether or not the passed hashtype adheres to +// the strict encoding requirements if enabled. +func (vm *Engine) checkHashTypeEncoding(hashType SigHashType) error { + if !vm.hasFlag(ScriptVerifyStrictEncoding) { + return nil + } + + sigHashType := hashType & ^SigHashAnyOneCanPay + if sigHashType < SigHashAll || sigHashType > SigHashSingle { + return fmt.Errorf("invalid hashtype: 0x%x\n", hashType) + } + return nil +} + +// checkPubKeyEncoding returns whether or not the passed public key adheres to +// the strict encoding requirements if enabled. +func (vm *Engine) checkPubKeyEncoding(pubKey []byte) error { + if !vm.hasFlag(ScriptVerifyStrictEncoding) { + return nil + } + + if len(pubKey) == 33 && (pubKey[0] == 0x02 || pubKey[0] == 0x03) { + // Compressed + return nil + } + if len(pubKey) == 65 && pubKey[0] == 0x04 { + // Uncompressed + return nil + } + return ErrStackInvalidPubKey +} + +// checkSignatureEncoding returns whether or not the passed signature adheres to +// the strict encoding requirements if enabled. +func (vm *Engine) checkSignatureEncoding(sig []byte) error { + if !vm.hasFlag(ScriptVerifyDERSignatures) && + !vm.hasFlag(ScriptVerifyLowS) && + !vm.hasFlag(ScriptVerifyStrictEncoding) { + + return nil + } + + // The format of a DER encoded signature is as follows: + // + // 0x30 0x02 0x02 + // - 0x30 is the ASN.1 identifier for a sequence + // - Total length is 1 byte and specifies length of all remaining data + // - 0x02 is the ASN.1 identifier that specifies an integer follows + // - Length of R is 1 byte and specifies how many bytes R occupies + // - R is the arbitrary length big-endian encoded number which + // represents the R value of the signature. DER encoding dictates + // that the value must be encoded using the minimum possible number + // of bytes. This implies the first byte can only be null if the + // highest bit of the next byte is set in order to prevent it from + // being interpreted as a negative number. + // - 0x02 is once again the ASN.1 integer identifier + // - Length of S is 1 byte and specifies how many bytes S occupies + // - S is the arbitrary length big-endian encoded number which + // represents the S value of the signature. The encoding rules are + // identical as those for R. + + // Minimum length is when both numbers are 1 byte each. + // 0x30 + <1-byte> + 0x02 + 0x01 + + 0x2 + 0x01 + + if len(sig) < 8 { + // Too short + return fmt.Errorf("malformed signature: too short: %d < 8", + len(sig)) + } + + // Maximum length is when both numbers are 33 bytes each. It is 33 + // bytes because a 256-bit integer requires 32 bytes and an additional + // leading null byte might required if the high bit is set in the value. + // 0x30 + <1-byte> + 0x02 + 0x21 + <33 bytes> + 0x2 + 0x21 + <33 bytes> + if len(sig) > 72 { + // Too long + return fmt.Errorf("malformed signature: too long: %d > 72", + len(sig)) + } + if sig[0] != 0x30 { + // Wrong type + return fmt.Errorf("malformed signature: format has wrong type: 0x%x", + sig[0]) + } + if int(sig[1]) != len(sig)-2 { + // Invalid length + return fmt.Errorf("malformed signature: bad length: %d != %d", + sig[1], len(sig)-2) + } + + rLen := int(sig[3]) + + // Make sure S is inside the signature. + if rLen+5 > len(sig) { + return fmt.Errorf("malformed signature: S out of bounds") + } + + sLen := int(sig[rLen+5]) + + // The length of the elements does not match the length of the + // signature. + if rLen+sLen+6 != len(sig) { + return fmt.Errorf("malformed signature: invalid R length") + } + + // R elements must be integers. + if sig[2] != 0x02 { + return fmt.Errorf("malformed signature: missing first integer marker") + } + + // Zero-length integers are not allowed for R. + if rLen == 0 { + return fmt.Errorf("malformed signature: R length is zero") + } + + // R must not be negative. + if sig[4]&0x80 != 0 { + return fmt.Errorf("malformed signature: R value is negative") + } + + // Null bytes at the start of R are not allowed, unless R would + // otherwise be interpreted as a negative number. + if rLen > 1 && sig[4] == 0x00 && sig[5]&0x80 == 0 { + return fmt.Errorf("malformed signature: invalid R value") + } + + // S elements must be integers. + if sig[rLen+4] != 0x02 { + return fmt.Errorf("malformed signature: missing second integer marker") + } + + // Zero-length integers are not allowed for S. + if sLen == 0 { + return fmt.Errorf("malformed signature: S length is zero") + } + + // S must not be negative. + if sig[rLen+6]&0x80 != 0 { + return fmt.Errorf("malformed signature: S value is negative") + } + + // Null bytes at the start of S are not allowed, unless S would + // otherwise be interpreted as a negative number. + if sLen > 1 && sig[rLen+6] == 0x00 && sig[rLen+7]&0x80 == 0 { + return fmt.Errorf("malformed signature: invalid S value") + } + + // Verify the S value is <= half the order of the curve. This check is + // done because when it is higher, the complement modulo the order can + // be used instead which is a shorter encoding by 1 byte. Further, + // without enforcing this, it is possible to replace a signature in a + // valid transaction with the complement while still being a valid + // signature that verifies. This would result in changing the + // transaction hash and thus is source of malleability. + if vm.hasFlag(ScriptVerifyLowS) { + sValue := new(big.Int).SetBytes(sig[rLen+6 : rLen+6+sLen]) + if sValue.Cmp(halfOrder) > 0 { + return ErrStackInvalidLowSSignature + } + } + + return nil +} + +// getStack returns the contents of stack as a byte array bottom up +func getStack(stack *stack) [][]byte { + array := make([][]byte, stack.Depth()) + for i := range array { + // PeekByteArry can't fail due to overflow, already checked + array[len(array)-i-1], _ = stack.PeekByteArray(int32(i)) + } + return array +} + +// setStack sets the stack to the contents of the array where the last item in +// the array is the top item in the stack. +func setStack(stack *stack, data [][]byte) { + // This can not error. Only errors are for invalid arguments. + _ = stack.DropN(stack.Depth()) + + for i := range data { + stack.PushByteArray(data[i]) + } +} + +// GetStack returns the contents of the primary stack as an array. where the +// last item in the array is the top of the stack. +func (vm *Engine) GetStack() [][]byte { + return getStack(&vm.dstack) +} + +// SetStack sets the contents of the primary stack to the contents of the +// provided array where the last item in the array will be the top of the stack. +func (vm *Engine) SetStack(data [][]byte) { + setStack(&vm.dstack, data) +} + +// GetAltStack returns the contents of the alternate stack as an array where the +// last item in the array is the top of the stack. +func (vm *Engine) GetAltStack() [][]byte { + return getStack(&vm.astack) +} + +// SetAltStack sets the contents of the alternate stack to the contents of the +// provided array where the last item in the array will be the top of the stack. +func (vm *Engine) SetAltStack(data [][]byte) { + setStack(&vm.astack, data) +} + +// NewEngine returns a new script engine for the provided public key script, +// transaction, and input index. The flags modify the behavior of the script +// engine according to the description provided by each flag. +func NewEngine(scriptPubKey []byte, tx *types.Transaction, txIdx int, + flags ScriptFlags, scriptVersion uint16, sigCache *SigCache) (*Engine, error) { + + // The provided transaction input index must refer to a valid input. + if txIdx < 0 || txIdx >= len(tx.TxIn) { + return nil, ErrInvalidIndex + } + scriptSig := tx.TxIn[txIdx].SignScript + + // The clean stack flag (ScriptVerifyCleanStack) is not allowed without + // the pay-to-script-hash (P2SH) evaluation (ScriptBip16) flag. + // + // Recall that evaluating a P2SH script without the flag set results in + // non-P2SH evaluation which leaves the P2SH inputs on the stack. Thus, + // allowing the clean stack flag without the P2SH flag would make it + // possible to have a situation where P2SH would not be a soft fork when + // it should be. + vm := Engine{version: scriptVersion, flags: flags, sigCache: sigCache} + if vm.hasFlag(ScriptVerifyCleanStack) && !vm.hasFlag(ScriptBip16) { + return nil, ErrInvalidFlags + } + + // The signature script must only contain data pushes when the + // associated flag is set. + if vm.hasFlag(ScriptVerifySigPushOnly) && !IsPushOnlyScript(scriptSig) { + return nil, ErrStackNonPushOnly + } + + // Subscripts for pay to script hash outputs are not allowed + // to use any stake tag OP codes if the script version is 0. + if scriptVersion == DefaultScriptVersion { + err := HasP2SHScriptSigStakeOpCodes(scriptVersion, scriptSig, + scriptPubKey) + if err != nil { + return nil, err + } + } + + // The engine stores the scripts in parsed form using a slice. This + // allows multiple scripts to be executed in sequence. For example, + // with a pay-to-script-hash transaction, there will be ultimately be + // a third script to execute. + scripts := [][]byte{scriptSig, scriptPubKey} + vm.scripts = make([][]ParsedOpcode, len(scripts)) + for i, scr := range scripts { + if len(scr) > maxScriptSize { + return nil, ErrStackLongScript + } + var err error + vm.scripts[i], err = parseScript(scr) + if err != nil { + return nil, err + } + } + + // Advance the program counter to the public key script if the signature + // script is empty since there is nothing to execute for it in that + // case. + if len(scripts[0]) == 0 { + vm.scriptIdx++ + } + + if vm.hasFlag(ScriptBip16) && isAnyKindOfScriptHash(vm.scripts[1]) { + // Only accept input scripts that push data for P2SH. + if !isPushOnly(vm.scripts[0]) { + return nil, ErrStackP2SHNonPushOnly + } + vm.bip16 = true + } + if vm.hasFlag(ScriptVerifyMinimalData) { + vm.dstack.verifyMinimalData = true + vm.astack.verifyMinimalData = true + } + + vm.tx = *tx + vm.txIdx = txIdx + + return &vm, nil +} + +// NewEngine2 (refactor of NewEngine) +func NewEngine2(scriptPubKey []byte, tx types.ScriptTx, txIdx int, + flags ScriptFlags, scriptVersion uint16, sigCache *SigCache) (*Engine, error) { + + // The provided transaction input index must refer to a valid input. + if txIdx < 0 || txIdx >= len(tx.GetInput()) { + return nil, ErrInvalidIndex + } + scriptSig := tx.GetInput()[txIdx].GetSignScript() + + // The clean stack flag (ScriptVerifyCleanStack) is not allowed without + // the pay-to-script-hash (P2SH) evaluation (ScriptBip16) flag. + // + // Recall that evaluating a P2SH script without the flag set results in + // non-P2SH evaluation which leaves the P2SH inputs on the stack. Thus, + // allowing the clean stack flag without the P2SH flag would make it + // possible to have a situation where P2SH would not be a soft fork when + // it should be. + vm := Engine{version: scriptVersion, flags: flags, sigCache: sigCache} + if vm.hasFlag(ScriptVerifyCleanStack) && !vm.hasFlag(ScriptBip16) { + return nil, ErrInvalidFlags + } + + // The signature script must only contain data pushes when the + // associated flag is set. + if vm.hasFlag(ScriptVerifySigPushOnly) && !IsPushOnlyScript(scriptSig) { + return nil, ErrStackNonPushOnly + } + + // Subscripts for pay to script hash outputs are not allowed + // to use any stake tag OP codes if the script version is 0. + if scriptVersion == DefaultScriptVersion { + err := HasP2SHScriptSigStakeOpCodes(scriptVersion, scriptSig, + scriptPubKey) + if err != nil { + return nil, err + } + } + + // The engine stores the scripts in parsed form using a slice. This + // allows multiple scripts to be executed in sequence. For example, + // with a pay-to-script-hash transaction, there will be ultimately be + // a third script to execute. + scripts := [][]byte{scriptSig, scriptPubKey} + vm.scripts = make([][]ParsedOpcode, len(scripts)) + for i, scr := range scripts { + if len(scr) > maxScriptSize { + return nil, ErrStackLongScript + } + var err error + vm.scripts[i], err = parseScript(scr) + if err != nil { + return nil, err + } + } + + // Advance the program counter to the public key script if the signature + // script is empty since there is nothing to execute for it in that + // case. + if len(scripts[0]) == 0 { + vm.scriptIdx++ + } + + if vm.hasFlag(ScriptBip16) && isAnyKindOfScriptHash(vm.scripts[1]) { + // Only accept input scripts that push data for P2SH. + if !isPushOnly(vm.scripts[0]) { + return nil, ErrStackP2SHNonPushOnly + } + vm.bip16 = true + } + if vm.hasFlag(ScriptVerifyMinimalData) { + vm.dstack.verifyMinimalData = true + vm.astack.verifyMinimalData = true + } + + vm.scriptTx = tx + switch tx.GetType() { + case types.QitmeerScriptTx: + qitmeertx, _ := tx.(*types.Transaction) + vm.tx = *qitmeertx + } + vm.txIdx = txIdx + + return &vm, nil +} diff --git a/engine/txscript/error.go b/engine/txscript/error.go new file mode 100644 index 0000000..ba06282 --- /dev/null +++ b/engine/txscript/error.go @@ -0,0 +1,196 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "errors" + "fmt" +) + +// Engine execution errors. +var ( + // ErrStackShortScript is returned if the script has an opcode that is + // too long for the length of the script. + ErrStackShortScript = errors.New("execute past end of script") + + // ErrStackLongScript is returned if the script has an opcode that is + // too long for the length of the script. + ErrStackLongScript = errors.New("script is longer than maximum allowed") + + // ErrStackUnderflow is returned if an opcode requires more items on the + // stack than is present.f + ErrStackUnderflow = errors.New("stack underflow") + + // ErrStackInvalidArgs is returned if the argument for an opcode is out + // of acceptable range. + ErrStackInvalidArgs = errors.New("invalid argument") + + // ErrStackOpDisabled is returned when a disabled opcode is encountered + // in the script. + ErrStackOpDisabled = errors.New("disabled opcode") + + // ErrStackVerifyFailed is returned when one of the OP_VERIFY or + // OP_*VERIFY instructions is executed and the conditions fails. + ErrStackVerifyFailed = errors.New("verify failed") + + // ErrStackNumberTooBig is returned when the argument for an opcode that + // should be an offset is obviously far too large. + ErrStackNumberTooBig = errors.New("number too big") + + // ErrStackInvalidOpcode is returned when an opcode marked as invalid or + // a completely undefined opcode is encountered. + ErrStackInvalidOpcode = errors.New("invalid opcode") + + // ErrStackReservedOpcode is returned when an opcode marked as reserved + // is encountered. + ErrStackReservedOpcode = errors.New("reserved opcode") + + // ErrStackEarlyReturn is returned when OP_RETURN is executed in the + // script. + ErrStackEarlyReturn = errors.New("script returned early") + + // ErrStackNoIf is returned if an OP_ELSE or OP_ENDIF is encountered + // without first having an OP_IF or OP_NOTIF in the script. + ErrStackNoIf = errors.New("OP_ELSE or OP_ENDIF with no matching OP_IF") + + // ErrStackMissingEndif is returned if the end of a script is reached + // without and OP_ENDIF to correspond to a conditional expression. + ErrStackMissingEndif = fmt.Errorf("execute fail, in conditional execution") + + // ErrStackTooManyPubKeys is returned if an OP_CHECKMULTISIG is + // encountered with more than MaxPubKeysPerMultiSig pubkeys present. + ErrStackTooManyPubKeys = errors.New("invalid pubkey count in OP_CHECKMULTISIG") + + // ErrStackTooManyOperations is returned if a script has more than + // MaxOpsPerScript opcodes that do not push data. + ErrStackTooManyOperations = errors.New("too many operations in script") + + // ErrStackElementTooBig is returned if the size of an element to be + // pushed to the stack is over MaxScriptElementSize. + ErrStackElementTooBig = errors.New("element in script too large") + + // ErrStackUnknownAddress is returned when ScriptToAddrHash does not + // recognize the pattern of the script and thus can not find the address + // for payment. + ErrStackUnknownAddress = errors.New("non-recognised address") + + // ErrStackScriptFailed is returned when at the end of a script the + // boolean on top of the stack is false signifying that the script has + // failed. + ErrStackScriptFailed = errors.New("execute fail, fail on stack") + + // ErrStackScriptUnfinished is returned when CheckErrorCondition is + // called on a script that has not finished executing. + ErrStackScriptUnfinished = errors.New("error check when script unfinished") + + // ErrStackEmptyStack is returned when the stack is empty at the end of + // execution. Normal operation requires that a boolean is on top of the + // stack when the scripts have finished executing. + ErrStackEmptyStack = errors.New("stack empty at end of execution") + + // ErrStackP2SHNonPushOnly is returned when a Pay-to-Script-Hash + // transaction is encountered and the ScriptSig does operations other + // than push data (in violation of bip16). + ErrStackP2SHNonPushOnly = errors.New("pay to script hash with non " + + "pushonly input") + + // ErrStackInvalidParseType is an internal error returned from + // ScriptToAddrHash ony if the internal data tables are wrong. + ErrStackInvalidParseType = errors.New("internal error: invalid parsetype found") + + // ErrStackInvalidAddrOffset is an internal error returned from + // ScriptToAddrHash ony if the internal data tables are wrong. + ErrStackInvalidAddrOffset = errors.New("internal error: invalid offset found") + + // ErrStackInvalidIndex is returned when an out-of-bounds index was + // passed to a function. + ErrStackInvalidIndex = errors.New("invalid script index") + + // ErrStackNonPushOnly is returned when ScriptInfo is called with a + // pkScript that peforms operations other that pushing data to the stack. + ErrStackNonPushOnly = errors.New("SigScript is non pushonly") + + // ErrStackOverflow is returned when stack and altstack combined depth + // is over the limit. + ErrStackOverflow = errors.New("stack overflow") + + // ErrStackInvalidLowSSignature is returned when the ScriptVerifyLowS + // flag is set and the script contains any signatures whose S values + // are higher than the half order. + ErrStackInvalidLowSSignature = errors.New("invalid low s signature") + + // ErrStackInvalidPubKey is returned when the ScriptVerifyScriptEncoding + // flag is set and the script contains invalid pubkeys. + ErrStackInvalidPubKey = errors.New("invalid strict pubkey") + + // ErrStackCleanStack is returned when the ScriptVerifyCleanStack flag + // is set and after evalution the stack does not contain only one element, + // which also must be true if interpreted as a boolean. + ErrStackCleanStack = errors.New("stack is not clean") + + // ErrStackMinimalData is returned when the ScriptVerifyMinimalData flag + // is set and the script contains push operations that do not use + // the minimal opcode required. + ErrStackMinimalData = errors.New("non-minimally encoded script number") +) + +// Engine script errors. +var ( + // ErrInvalidFlags is returned when the passed flags to NewScript + // contain an invalid combination. + ErrInvalidFlags = errors.New("invalid flags combination") + + // ErrInvalidIndex is returned when the passed input index for the + // provided transaction is out of range. + ErrInvalidIndex = errors.New("invalid input index") + + // ErrUnsupportedAddress is returned when a concrete type that + // implements an Address is not a supported type. + ErrUnsupportedAddress = errors.New("unsupported address type") + + // ErrBadNumRequired is returned from MultiSigScript when nrequired is + // larger than the number of provided public keys. + ErrBadNumRequired = errors.New("more signatures required than keys present") + + // ErrSighashSingleIdx + ErrSighashSingleIdx = errors.New("invalid SIGHASH_SINGLE script index") + + // ErrSubstrIndexNegative indicates that the substring index was negative + // and thus invalid. + ErrSubstrIdxNegative = errors.New("negative number given for substring " + + "index") + + // ErrSubstrIdxOutOfBounds indicates that the substring index was too large + // and thus invalid. + ErrSubstrIdxOutOfBounds = errors.New("out of bounds number given for " + + "substring index") + + // ErrNegativeRotation indicates that too low of a rotation depth was given + // for a uint32 bit rotation. + ErrNegativeRotation = errors.New("rotation depth negative") + + // ErrRotationOverflow indicates that too high of a rotation depth was given + // for a uint32 bit rotation. + ErrRotationOverflow = errors.New("rotation depth out of bounds") + + // ErrNegativeRotation indicates that too low of a shift depth was given + // for a uint32 bit shift. + ErrNegativeShift = errors.New("shift depth negative") + + // ErrShiftOverflow indicates that too high of a shift depth was given + // for a uint32 bit shift. + ErrShiftOverflow = errors.New("shift depth out of bounds") + + // ErrDivideByZero indicates that a user attempted to divide by zero. + ErrDivideByZero = errors.New("division by zero") + + // ErrP2SHStakeOpCodes indicates a P2SH script contained stake op codes. + ErrP2SHStakeOpCodes = errors.New("stake opcodes were found in a p2sh script") + + // ErrTooMuchNullData + ErrTooMuchNullData = errors.New("data exceeds MaxDataCarrierSize.") +) diff --git a/engine/txscript/log.go b/engine/txscript/log.go new file mode 100644 index 0000000..b504c6a --- /dev/null +++ b/engine/txscript/log.go @@ -0,0 +1,39 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2018 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + l "github.com/Qitmeer/qng-core/log" +) + +// log is a logger that is initialized with no output filters. This +// means the package will not perform any logging by default until the caller +// requests it. +var log l.Logger + +// The default amount of logging is none. +func init() { + UseLogger(l.New(l.Ctx{"module": "txscript"})) +} + +// UseLogger uses a specified Logger to output package logging info. +func UseLogger(logger l.Logger) { + log = logger +} + +// LogClosure is a closure that can be printed with %v to be used to +// generate expensive-to-create data for a detailed log level and avoid doing +// the work if the data isn't printed. +type logClosure func() string + +func (c logClosure) String() string { + return c() +} + +func newLogClosure(c func() string) logClosure { + return logClosure(c) +} diff --git a/engine/txscript/opcode.go b/engine/txscript/opcode.go new file mode 100644 index 0000000..36f8206 --- /dev/null +++ b/engine/txscript/opcode.go @@ -0,0 +1,3069 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "bytes" + "crypto/sha1" + "crypto/sha256" + "encoding/binary" + "errors" + "fmt" + "golang.org/x/crypto/ripemd160" + hhash "hash" + + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/common/hash/btc" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/params" +) + +var optimizeSigVerification = params.SigHashOptimization + +// An opcode defines the information related to a txscript opcode. opfunc, if +// present, is the function to call to perform the opcode on the script. The +// current script is passed in as a slice with the first member being the opcode +// itself. +type Opcode struct { + value byte + name string + length int + opfunc func(*ParsedOpcode, *Engine) error +} + +func (o *Opcode) GetValue() byte { + return o.value +} + +// These constants are the values of the official opcodes used on the btc wiki, +// in bitcoin core and extension to handling tx scripts. +const ( + OP_0 = 0x00 // 0 + OP_FALSE = 0x00 // 0 - AKA OP_0 + OP_DATA_1 = 0x01 // 1 + OP_DATA_2 = 0x02 // 2 + OP_DATA_3 = 0x03 // 3 + OP_DATA_4 = 0x04 // 4 + OP_DATA_5 = 0x05 // 5 + OP_DATA_6 = 0x06 // 6 + OP_DATA_7 = 0x07 // 7 + OP_DATA_8 = 0x08 // 8 + OP_DATA_9 = 0x09 // 9 + OP_DATA_10 = 0x0a // 10 + OP_DATA_11 = 0x0b // 11 + OP_DATA_12 = 0x0c // 12 + OP_DATA_13 = 0x0d // 13 + OP_DATA_14 = 0x0e // 14 + OP_DATA_15 = 0x0f // 15 + OP_DATA_16 = 0x10 // 16 + OP_DATA_17 = 0x11 // 17 + OP_DATA_18 = 0x12 // 18 + OP_DATA_19 = 0x13 // 19 + OP_DATA_20 = 0x14 // 20 + OP_DATA_21 = 0x15 // 21 + OP_DATA_22 = 0x16 // 22 + OP_DATA_23 = 0x17 // 23 + OP_DATA_24 = 0x18 // 24 + OP_DATA_25 = 0x19 // 25 + OP_DATA_26 = 0x1a // 26 + OP_DATA_27 = 0x1b // 27 + OP_DATA_28 = 0x1c // 28 + OP_DATA_29 = 0x1d // 29 + OP_DATA_30 = 0x1e // 30 + OP_DATA_31 = 0x1f // 31 + OP_DATA_32 = 0x20 // 32 + OP_DATA_33 = 0x21 // 33 + OP_DATA_34 = 0x22 // 34 + OP_DATA_35 = 0x23 // 35 + OP_DATA_36 = 0x24 // 36 + OP_DATA_37 = 0x25 // 37 + OP_DATA_38 = 0x26 // 38 + OP_DATA_39 = 0x27 // 39 + OP_DATA_40 = 0x28 // 40 + OP_DATA_41 = 0x29 // 41 + OP_DATA_42 = 0x2a // 42 + OP_DATA_43 = 0x2b // 43 + OP_DATA_44 = 0x2c // 44 + OP_DATA_45 = 0x2d // 45 + OP_DATA_46 = 0x2e // 46 + OP_DATA_47 = 0x2f // 47 + OP_DATA_48 = 0x30 // 48 + OP_DATA_49 = 0x31 // 49 + OP_DATA_50 = 0x32 // 50 + OP_DATA_51 = 0x33 // 51 + OP_DATA_52 = 0x34 // 52 + OP_DATA_53 = 0x35 // 53 + OP_DATA_54 = 0x36 // 54 + OP_DATA_55 = 0x37 // 55 + OP_DATA_56 = 0x38 // 56 + OP_DATA_57 = 0x39 // 57 + OP_DATA_58 = 0x3a // 58 + OP_DATA_59 = 0x3b // 59 + OP_DATA_60 = 0x3c // 60 + OP_DATA_61 = 0x3d // 61 + OP_DATA_62 = 0x3e // 62 + OP_DATA_63 = 0x3f // 63 + OP_DATA_64 = 0x40 // 64 + OP_DATA_65 = 0x41 // 65 + OP_DATA_66 = 0x42 // 66 + OP_DATA_67 = 0x43 // 67 + OP_DATA_68 = 0x44 // 68 + OP_DATA_69 = 0x45 // 69 + OP_DATA_70 = 0x46 // 70 + OP_DATA_71 = 0x47 // 71 + OP_DATA_72 = 0x48 // 72 + OP_DATA_73 = 0x49 // 73 + OP_DATA_74 = 0x4a // 74 + OP_DATA_75 = 0x4b // 75 + OP_PUSHDATA1 = 0x4c // 76 + OP_PUSHDATA2 = 0x4d // 77 + OP_PUSHDATA4 = 0x4e // 78 + OP_1NEGATE = 0x4f // 79 + OP_RESERVED = 0x50 // 80 + OP_1 = 0x51 // 81 - AKA OP_TRUE + OP_TRUE = 0x51 // 81 + OP_2 = 0x52 // 82 + OP_3 = 0x53 // 83 + OP_4 = 0x54 // 84 + OP_5 = 0x55 // 85 + OP_6 = 0x56 // 86 + OP_7 = 0x57 // 87 + OP_8 = 0x58 // 88 + OP_9 = 0x59 // 89 + OP_10 = 0x5a // 90 + OP_11 = 0x5b // 91 + OP_12 = 0x5c // 92 + OP_13 = 0x5d // 93 + OP_14 = 0x5e // 94 + OP_15 = 0x5f // 95 + OP_16 = 0x60 // 96 + OP_NOP = 0x61 // 97 + OP_VER = 0x62 // 98 + OP_IF = 0x63 // 99 + OP_NOTIF = 0x64 // 100 + OP_VERIF = 0x65 // 101 + OP_VERNOTIF = 0x66 // 102 + OP_ELSE = 0x67 // 103 + OP_ENDIF = 0x68 // 104 + OP_VERIFY = 0x69 // 105 + OP_RETURN = 0x6a // 106 + OP_TOALTSTACK = 0x6b // 107 + OP_FROMALTSTACK = 0x6c // 108 + OP_2DROP = 0x6d // 109 + OP_2DUP = 0x6e // 110 + OP_3DUP = 0x6f // 111 + OP_2OVER = 0x70 // 112 + OP_2ROT = 0x71 // 113 + OP_2SWAP = 0x72 // 114 + OP_IFDUP = 0x73 // 115 + OP_DEPTH = 0x74 // 116 + OP_DROP = 0x75 // 117 + OP_DUP = 0x76 // 118 + OP_NIP = 0x77 // 119 + OP_OVER = 0x78 // 120 + OP_PICK = 0x79 // 121 + OP_ROLL = 0x7a // 122 + OP_ROT = 0x7b // 123 + OP_SWAP = 0x7c // 124 + OP_TUCK = 0x7d // 125 + OP_CAT = 0x7e // 126 + OP_SUBSTR = 0x7f // 127 + OP_LEFT = 0x80 // 128 + OP_RIGHT = 0x81 // 129 + OP_SIZE = 0x82 // 130 + OP_INVERT = 0x83 // 131 + OP_AND = 0x84 // 132 + OP_OR = 0x85 // 133 + OP_XOR = 0x86 // 134 + OP_EQUAL = 0x87 // 135 + OP_EQUALVERIFY = 0x88 // 136 + OP_ROTR = 0x89 // 137 + OP_ROTL = 0x8a // 138 + OP_1ADD = 0x8b // 139 + OP_1SUB = 0x8c // 140 + OP_2MUL = 0x8d // 141 + OP_2DIV = 0x8e // 142 + OP_NEGATE = 0x8f // 143 + OP_ABS = 0x90 // 144 + OP_NOT = 0x91 // 145 + OP_0NOTEQUAL = 0x92 // 146 + OP_ADD = 0x93 // 147 + OP_SUB = 0x94 // 148 + OP_MUL = 0x95 // 149 + OP_DIV = 0x96 // 150 + OP_MOD = 0x97 // 151 + OP_LSHIFT = 0x98 // 152 + OP_RSHIFT = 0x99 // 153 + OP_BOOLAND = 0x9a // 154 + OP_BOOLOR = 0x9b // 155 + OP_NUMEQUAL = 0x9c // 156 + OP_NUMEQUALVERIFY = 0x9d // 157 + OP_NUMNOTEQUAL = 0x9e // 158 + OP_LESSTHAN = 0x9f // 159 + OP_GREATERTHAN = 0xa0 // 160 + OP_LESSTHANOREQUAL = 0xa1 // 161 + OP_GREATERTHANOREQUAL = 0xa2 // 162 + OP_MIN = 0xa3 // 163 + OP_MAX = 0xa4 // 164 + OP_WITHIN = 0xa5 // 165 + OP_RIPEMD160 = 0xa6 // 166 + OP_SHA1 = 0xa7 // 167 + OP_BLAKE256 = 0xa8 // 168 + OP_HASH160 = 0xa9 // 169 + OP_HASH256 = 0xaa // 170 + OP_CODESEPARATOR = 0xab // 171 + OP_CHECKSIG = 0xac // 172 + OP_CHECKSIGVERIFY = 0xad // 173 + OP_CHECKMULTISIG = 0xae // 174 + OP_CHECKMULTISIGVERIFY = 0xaf // 175 + OP_NOP1 = 0xb0 // 176 + OP_NOP2 = 0xb1 // 177 + OP_CHECKLOCKTIMEVERIFY = 0xb1 // 177 - AKA OP_NOP2 + OP_NOP3 = 0xb2 // 178 + OP_CHECKSEQUENCEVERIFY = 0xb2 // 178 - AKA OP_NOP3 + OP_NOP4 = 0xb3 // 179 + OP_NOP5 = 0xb4 // 180 + OP_NOP6 = 0xb5 // 181 + OP_NOP7 = 0xb6 // 182 + OP_NOP8 = 0xb7 // 183 + OP_NOP9 = 0xb8 // 184 + OP_NOP10 = 0xb9 // 185 + OP_SSTX = 0xba // 186 PayToSStx //TODO, refactor stake related op + OP_SSGEN = 0xbb // 187 PayToSSGen //TODO, refactor stake related op + OP_SSRTX = 0xbc // 188 PayToSSRtx //TODO, refactor stake related op + OP_SSTXCHANGE = 0xbd // 189 PayToSStxChange //TODO, refactor stake related op + OP_CHECKSIGALT = 0xbe // 190 Alternative checksig op (ed25519/snnor) //TODO, refactor name + OP_CHECKSIGALTVERIFY = 0xbf // 191 Alternative checksigverify op (ed25519/snnor) //TODO, refactor name + OP_SHA256 = 0xc0 // 192 + OP_TOKEN_MINT = 0xc1 // 193 Qitmeer token mint + OP_TOKEN_UNMINT = 0xc2 // 194 Qitmeer token unmint + OP_MEER_LOCK = 0xc3 // 195 Qitmeer meer lock + OP_MEER_RELEASE = 0xc4 // 196 Qitmeer meer release + OP_TOKEN_DESTORY = 0xc5 // 197 Qitmeer token destory + OP_TOKEN_RELEASE = 0xc6 // 198 Qitmeer token release + OP_MEER_CHANGE = 0xc7 // 199 Qitmeer meer change + OP_TOKEN_CHANGE = 0xc8 // 200 Qitmeer token change + OP_TOKEN = 0xc9 // 201 Qitmeer token manage operation + OP_UNKNOWN202 = 0xca // 202 + OP_UNKNOWN203 = 0xcb // 203 + OP_UNKNOWN204 = 0xcc // 204 + OP_UNKNOWN205 = 0xcd // 205 + OP_UNKNOWN206 = 0xce // 206 + OP_UNKNOWN207 = 0xcf // 207 + OP_UNKNOWN208 = 0xd0 // 208 + OP_UNKNOWN209 = 0xd1 // 209 + OP_UNKNOWN210 = 0xd2 // 210 + OP_UNKNOWN211 = 0xd3 // 211 + OP_UNKNOWN212 = 0xd4 // 212 + OP_UNKNOWN213 = 0xd5 // 213 + OP_UNKNOWN214 = 0xd6 // 214 + OP_UNKNOWN215 = 0xd7 // 215 + OP_UNKNOWN216 = 0xd8 // 216 + OP_UNKNOWN217 = 0xd9 // 217 + OP_UNKNOWN218 = 0xda // 218 + OP_UNKNOWN219 = 0xdb // 219 + OP_UNKNOWN220 = 0xdc // 220 + OP_UNKNOWN221 = 0xdd // 221 + OP_UNKNOWN222 = 0xde // 222 + OP_UNKNOWN223 = 0xdf // 223 + OP_UNKNOWN224 = 0xe0 // 224 + OP_UNKNOWN225 = 0xe1 // 225 + OP_UNKNOWN226 = 0xe2 // 226 + OP_UNKNOWN227 = 0xe3 // 227 + OP_UNKNOWN228 = 0xe4 // 228 + OP_UNKNOWN229 = 0xe5 // 229 + OP_UNKNOWN230 = 0xe6 // 230 + OP_UNKNOWN231 = 0xe7 // 231 + OP_UNKNOWN232 = 0xe8 // 232 + OP_UNKNOWN233 = 0xe9 // 233 + OP_UNKNOWN234 = 0xea // 234 + OP_UNKNOWN235 = 0xeb // 235 + OP_UNKNOWN236 = 0xec // 236 + OP_UNKNOWN237 = 0xed // 237 + OP_UNKNOWN238 = 0xee // 238 + OP_UNKNOWN239 = 0xef // 239 + OP_UNKNOWN240 = 0xf0 // 240 + OP_UNKNOWN241 = 0xf1 // 241 + OP_UNKNOWN242 = 0xf2 // 242 + OP_UNKNOWN243 = 0xf3 // 243 + OP_UNKNOWN244 = 0xf4 // 244 + OP_UNKNOWN245 = 0xf5 // 245 + OP_UNKNOWN246 = 0xf6 // 246 + OP_UNKNOWN247 = 0xf7 // 247 + OP_UNKNOWN248 = 0xf8 // 248 + OP_INVALID249 = 0xf9 // 249 - bitcoin core internal + OP_SMALLINTEGER = 0xfa // 250 - bitcoin core internal + OP_PUBKEYS = 0xfb // 251 - bitcoin core internal + OP_UNKNOWN252 = 0xfc // 252 + OP_PUBKEYHASH = 0xfd // 253 - bitcoin core internal + OP_PUBKEY = 0xfe // 254 - bitcoin core internal + OP_INVALIDOPCODE = 0xff // 255 - bitcoin core internal +) + +// Conditional execution constants. +const ( + OpCondFalse = 0 + OpCondTrue = 1 + OpCondSkip = 2 +) + +// opcodeArray holds details about all possible opcodes such as how many bytes +// the opcode and any associated data should take, its human-readable name, and +// the handler function. +var opcodeArray = [256]Opcode{ + // Data push opcodes. + OP_FALSE: {OP_FALSE, "OP_0", 1, opcodeFalse}, + OP_DATA_1: {OP_DATA_1, "OP_DATA_1", 2, opcodePushData}, + OP_DATA_2: {OP_DATA_2, "OP_DATA_2", 3, opcodePushData}, + OP_DATA_3: {OP_DATA_3, "OP_DATA_3", 4, opcodePushData}, + OP_DATA_4: {OP_DATA_4, "OP_DATA_4", 5, opcodePushData}, + OP_DATA_5: {OP_DATA_5, "OP_DATA_5", 6, opcodePushData}, + OP_DATA_6: {OP_DATA_6, "OP_DATA_6", 7, opcodePushData}, + OP_DATA_7: {OP_DATA_7, "OP_DATA_7", 8, opcodePushData}, + OP_DATA_8: {OP_DATA_8, "OP_DATA_8", 9, opcodePushData}, + OP_DATA_9: {OP_DATA_9, "OP_DATA_9", 10, opcodePushData}, + OP_DATA_10: {OP_DATA_10, "OP_DATA_10", 11, opcodePushData}, + OP_DATA_11: {OP_DATA_11, "OP_DATA_11", 12, opcodePushData}, + OP_DATA_12: {OP_DATA_12, "OP_DATA_12", 13, opcodePushData}, + OP_DATA_13: {OP_DATA_13, "OP_DATA_13", 14, opcodePushData}, + OP_DATA_14: {OP_DATA_14, "OP_DATA_14", 15, opcodePushData}, + OP_DATA_15: {OP_DATA_15, "OP_DATA_15", 16, opcodePushData}, + OP_DATA_16: {OP_DATA_16, "OP_DATA_16", 17, opcodePushData}, + OP_DATA_17: {OP_DATA_17, "OP_DATA_17", 18, opcodePushData}, + OP_DATA_18: {OP_DATA_18, "OP_DATA_18", 19, opcodePushData}, + OP_DATA_19: {OP_DATA_19, "OP_DATA_19", 20, opcodePushData}, + OP_DATA_20: {OP_DATA_20, "OP_DATA_20", 21, opcodePushData}, + OP_DATA_21: {OP_DATA_21, "OP_DATA_21", 22, opcodePushData}, + OP_DATA_22: {OP_DATA_22, "OP_DATA_22", 23, opcodePushData}, + OP_DATA_23: {OP_DATA_23, "OP_DATA_23", 24, opcodePushData}, + OP_DATA_24: {OP_DATA_24, "OP_DATA_24", 25, opcodePushData}, + OP_DATA_25: {OP_DATA_25, "OP_DATA_25", 26, opcodePushData}, + OP_DATA_26: {OP_DATA_26, "OP_DATA_26", 27, opcodePushData}, + OP_DATA_27: {OP_DATA_27, "OP_DATA_27", 28, opcodePushData}, + OP_DATA_28: {OP_DATA_28, "OP_DATA_28", 29, opcodePushData}, + OP_DATA_29: {OP_DATA_29, "OP_DATA_29", 30, opcodePushData}, + OP_DATA_30: {OP_DATA_30, "OP_DATA_30", 31, opcodePushData}, + OP_DATA_31: {OP_DATA_31, "OP_DATA_31", 32, opcodePushData}, + OP_DATA_32: {OP_DATA_32, "OP_DATA_32", 33, opcodePushData}, + OP_DATA_33: {OP_DATA_33, "OP_DATA_33", 34, opcodePushData}, + OP_DATA_34: {OP_DATA_34, "OP_DATA_34", 35, opcodePushData}, + OP_DATA_35: {OP_DATA_35, "OP_DATA_35", 36, opcodePushData}, + OP_DATA_36: {OP_DATA_36, "OP_DATA_36", 37, opcodePushData}, + OP_DATA_37: {OP_DATA_37, "OP_DATA_37", 38, opcodePushData}, + OP_DATA_38: {OP_DATA_38, "OP_DATA_38", 39, opcodePushData}, + OP_DATA_39: {OP_DATA_39, "OP_DATA_39", 40, opcodePushData}, + OP_DATA_40: {OP_DATA_40, "OP_DATA_40", 41, opcodePushData}, + OP_DATA_41: {OP_DATA_41, "OP_DATA_41", 42, opcodePushData}, + OP_DATA_42: {OP_DATA_42, "OP_DATA_42", 43, opcodePushData}, + OP_DATA_43: {OP_DATA_43, "OP_DATA_43", 44, opcodePushData}, + OP_DATA_44: {OP_DATA_44, "OP_DATA_44", 45, opcodePushData}, + OP_DATA_45: {OP_DATA_45, "OP_DATA_45", 46, opcodePushData}, + OP_DATA_46: {OP_DATA_46, "OP_DATA_46", 47, opcodePushData}, + OP_DATA_47: {OP_DATA_47, "OP_DATA_47", 48, opcodePushData}, + OP_DATA_48: {OP_DATA_48, "OP_DATA_48", 49, opcodePushData}, + OP_DATA_49: {OP_DATA_49, "OP_DATA_49", 50, opcodePushData}, + OP_DATA_50: {OP_DATA_50, "OP_DATA_50", 51, opcodePushData}, + OP_DATA_51: {OP_DATA_51, "OP_DATA_51", 52, opcodePushData}, + OP_DATA_52: {OP_DATA_52, "OP_DATA_52", 53, opcodePushData}, + OP_DATA_53: {OP_DATA_53, "OP_DATA_53", 54, opcodePushData}, + OP_DATA_54: {OP_DATA_54, "OP_DATA_54", 55, opcodePushData}, + OP_DATA_55: {OP_DATA_55, "OP_DATA_55", 56, opcodePushData}, + OP_DATA_56: {OP_DATA_56, "OP_DATA_56", 57, opcodePushData}, + OP_DATA_57: {OP_DATA_57, "OP_DATA_57", 58, opcodePushData}, + OP_DATA_58: {OP_DATA_58, "OP_DATA_58", 59, opcodePushData}, + OP_DATA_59: {OP_DATA_59, "OP_DATA_59", 60, opcodePushData}, + OP_DATA_60: {OP_DATA_60, "OP_DATA_60", 61, opcodePushData}, + OP_DATA_61: {OP_DATA_61, "OP_DATA_61", 62, opcodePushData}, + OP_DATA_62: {OP_DATA_62, "OP_DATA_62", 63, opcodePushData}, + OP_DATA_63: {OP_DATA_63, "OP_DATA_63", 64, opcodePushData}, + OP_DATA_64: {OP_DATA_64, "OP_DATA_64", 65, opcodePushData}, + OP_DATA_65: {OP_DATA_65, "OP_DATA_65", 66, opcodePushData}, + OP_DATA_66: {OP_DATA_66, "OP_DATA_66", 67, opcodePushData}, + OP_DATA_67: {OP_DATA_67, "OP_DATA_67", 68, opcodePushData}, + OP_DATA_68: {OP_DATA_68, "OP_DATA_68", 69, opcodePushData}, + OP_DATA_69: {OP_DATA_69, "OP_DATA_69", 70, opcodePushData}, + OP_DATA_70: {OP_DATA_70, "OP_DATA_70", 71, opcodePushData}, + OP_DATA_71: {OP_DATA_71, "OP_DATA_71", 72, opcodePushData}, + OP_DATA_72: {OP_DATA_72, "OP_DATA_72", 73, opcodePushData}, + OP_DATA_73: {OP_DATA_73, "OP_DATA_73", 74, opcodePushData}, + OP_DATA_74: {OP_DATA_74, "OP_DATA_74", 75, opcodePushData}, + OP_DATA_75: {OP_DATA_75, "OP_DATA_75", 76, opcodePushData}, + OP_PUSHDATA1: {OP_PUSHDATA1, "OP_PUSHDATA1", -1, opcodePushData}, + OP_PUSHDATA2: {OP_PUSHDATA2, "OP_PUSHDATA2", -2, opcodePushData}, + OP_PUSHDATA4: {OP_PUSHDATA4, "OP_PUSHDATA4", -4, opcodePushData}, + OP_1NEGATE: {OP_1NEGATE, "OP_1NEGATE", 1, opcode1Negate}, + OP_RESERVED: {OP_RESERVED, "OP_RESERVED", 1, opcodeReserved}, + OP_TRUE: {OP_TRUE, "OP_1", 1, opcodeN}, + OP_2: {OP_2, "OP_2", 1, opcodeN}, + OP_3: {OP_3, "OP_3", 1, opcodeN}, + OP_4: {OP_4, "OP_4", 1, opcodeN}, + OP_5: {OP_5, "OP_5", 1, opcodeN}, + OP_6: {OP_6, "OP_6", 1, opcodeN}, + OP_7: {OP_7, "OP_7", 1, opcodeN}, + OP_8: {OP_8, "OP_8", 1, opcodeN}, + OP_9: {OP_9, "OP_9", 1, opcodeN}, + OP_10: {OP_10, "OP_10", 1, opcodeN}, + OP_11: {OP_11, "OP_11", 1, opcodeN}, + OP_12: {OP_12, "OP_12", 1, opcodeN}, + OP_13: {OP_13, "OP_13", 1, opcodeN}, + OP_14: {OP_14, "OP_14", 1, opcodeN}, + OP_15: {OP_15, "OP_15", 1, opcodeN}, + OP_16: {OP_16, "OP_16", 1, opcodeN}, + + // Control opcodes. + OP_NOP: {OP_NOP, "OP_NOP", 1, opcodeNop}, + OP_VER: {OP_VER, "OP_VER", 1, opcodeReserved}, + OP_IF: {OP_IF, "OP_IF", 1, opcodeIf}, + OP_NOTIF: {OP_NOTIF, "OP_NOTIF", 1, opcodeNotIf}, + OP_VERIF: {OP_VERIF, "OP_VERIF", 1, opcodeReserved}, + OP_VERNOTIF: {OP_VERNOTIF, "OP_VERNOTIF", 1, opcodeReserved}, + OP_ELSE: {OP_ELSE, "OP_ELSE", 1, opcodeElse}, + OP_ENDIF: {OP_ENDIF, "OP_ENDIF", 1, opcodeEndif}, + OP_VERIFY: {OP_VERIFY, "OP_VERIFY", 1, opcodeVerify}, + OP_RETURN: {OP_RETURN, "OP_RETURN", 1, opcodeReturn}, + OP_CHECKLOCKTIMEVERIFY: {OP_CHECKLOCKTIMEVERIFY, "OP_CHECKLOCKTIMEVERIFY", 1, opcodeCheckLockTimeVerify}, + OP_CHECKSEQUENCEVERIFY: {OP_CHECKSEQUENCEVERIFY, "OP_CHECKSEQUENCEVERIFY", 1, opcodeCheckSequenceVerify}, + + // Stack opcodes. + OP_TOALTSTACK: {OP_TOALTSTACK, "OP_TOALTSTACK", 1, opcodeToAltStack}, + OP_FROMALTSTACK: {OP_FROMALTSTACK, "OP_FROMALTSTACK", 1, opcodeFromAltStack}, + OP_2DROP: {OP_2DROP, "OP_2DROP", 1, opcode2Drop}, + OP_2DUP: {OP_2DUP, "OP_2DUP", 1, opcode2Dup}, + OP_3DUP: {OP_3DUP, "OP_3DUP", 1, opcode3Dup}, + OP_2OVER: {OP_2OVER, "OP_2OVER", 1, opcode2Over}, + OP_2ROT: {OP_2ROT, "OP_2ROT", 1, opcode2Rot}, + OP_2SWAP: {OP_2SWAP, "OP_2SWAP", 1, opcode2Swap}, + OP_IFDUP: {OP_IFDUP, "OP_IFDUP", 1, opcodeIfDup}, + OP_DEPTH: {OP_DEPTH, "OP_DEPTH", 1, opcodeDepth}, + OP_DROP: {OP_DROP, "OP_DROP", 1, opcodeDrop}, + OP_DUP: {OP_DUP, "OP_DUP", 1, opcodeDup}, + OP_NIP: {OP_NIP, "OP_NIP", 1, opcodeNip}, + OP_OVER: {OP_OVER, "OP_OVER", 1, opcodeOver}, + OP_PICK: {OP_PICK, "OP_PICK", 1, opcodePick}, + OP_ROLL: {OP_ROLL, "OP_ROLL", 1, opcodeRoll}, + OP_ROT: {OP_ROT, "OP_ROT", 1, opcodeRot}, + OP_SWAP: {OP_SWAP, "OP_SWAP", 1, opcodeSwap}, + OP_TUCK: {OP_TUCK, "OP_TUCK", 1, opcodeTuck}, + + // Splice opcodes. + OP_CAT: {OP_CAT, "OP_CAT", 1, opcodeCat}, + OP_SUBSTR: {OP_SUBSTR, "OP_SUBSTR", 1, opcodeSubstr}, + OP_LEFT: {OP_LEFT, "OP_LEFT", 1, opcodeLeft}, + OP_RIGHT: {OP_RIGHT, "OP_RIGHT", 1, opcodeRight}, + OP_SIZE: {OP_SIZE, "OP_SIZE", 1, opcodeSize}, + + // Bitwise logic opcodes for int32 registers derived from the stack. + OP_INVERT: {OP_INVERT, "OP_INVERT", 1, opcodeInvert}, + OP_AND: {OP_AND, "OP_AND", 1, opcodeAnd}, + OP_OR: {OP_OR, "OP_OR", 1, opcodeOr}, + OP_XOR: {OP_XOR, "OP_XOR", 1, opcodeXor}, + + // Bytewise comparison function opcodes for byte strings. + OP_EQUAL: {OP_EQUAL, "OP_EQUAL", 1, opcodeEqual}, + OP_EQUALVERIFY: {OP_EQUALVERIFY, "OP_EQUALVERIFY", 1, opcodeEqualVerify}, + + // Bitwise rotation opcodes for an int32 register derived from the stack. + OP_ROTR: {OP_ROTR, "OP_ROTR", 1, opcodeRotr}, + OP_ROTL: {OP_ROTL, "OP_ROTL", 1, opcodeRotl}, + + // Numeric related opcodes. + OP_1ADD: {OP_1ADD, "OP_1ADD", 1, opcode1Add}, + OP_1SUB: {OP_1SUB, "OP_1SUB", 1, opcode1Sub}, + OP_2MUL: {OP_2MUL, "OP_2MUL", 1, opcodeNop}, + OP_2DIV: {OP_2DIV, "OP_2DIV", 1, opcodeNop}, + OP_NEGATE: {OP_NEGATE, "OP_NEGATE", 1, opcodeNegate}, + OP_ABS: {OP_ABS, "OP_ABS", 1, opcodeAbs}, + OP_NOT: {OP_NOT, "OP_NOT", 1, opcodeNot}, + OP_0NOTEQUAL: {OP_0NOTEQUAL, "OP_0NOTEQUAL", 1, opcode0NotEqual}, + OP_ADD: {OP_ADD, "OP_ADD", 1, opcodeAdd}, + OP_SUB: {OP_SUB, "OP_SUB", 1, opcodeSub}, + OP_MUL: {OP_MUL, "OP_MUL", 1, opcodeMul}, + OP_DIV: {OP_DIV, "OP_DIV", 1, opcodeDiv}, + OP_MOD: {OP_MOD, "OP_MOD", 1, opcodeMod}, + OP_LSHIFT: {OP_LSHIFT, "OP_LSHIFT", 1, opcodeLShift}, + OP_RSHIFT: {OP_RSHIFT, "OP_RSHIFT", 1, opcodeRShift}, + OP_BOOLAND: {OP_BOOLAND, "OP_BOOLAND", 1, opcodeBoolAnd}, + OP_BOOLOR: {OP_BOOLOR, "OP_BOOLOR", 1, opcodeBoolOr}, + OP_NUMEQUAL: {OP_NUMEQUAL, "OP_NUMEQUAL", 1, opcodeNumEqual}, + OP_NUMEQUALVERIFY: {OP_NUMEQUALVERIFY, "OP_NUMEQUALVERIFY", 1, opcodeNumEqualVerify}, + OP_NUMNOTEQUAL: {OP_NUMNOTEQUAL, "OP_NUMNOTEQUAL", 1, opcodeNumNotEqual}, + OP_LESSTHAN: {OP_LESSTHAN, "OP_LESSTHAN", 1, opcodeLessThan}, + OP_GREATERTHAN: {OP_GREATERTHAN, "OP_GREATERTHAN", 1, opcodeGreaterThan}, + OP_LESSTHANOREQUAL: {OP_LESSTHANOREQUAL, "OP_LESSTHANOREQUAL", 1, opcodeLessThanOrEqual}, + OP_GREATERTHANOREQUAL: {OP_GREATERTHANOREQUAL, "OP_GREATERTHANOREQUAL", 1, opcodeGreaterThanOrEqual}, + OP_MIN: {OP_MIN, "OP_MIN", 1, opcodeMin}, + OP_MAX: {OP_MAX, "OP_MAX", 1, opcodeMax}, + OP_WITHIN: {OP_WITHIN, "OP_WITHIN", 1, opcodeWithin}, + + // Crypto opcodes. + OP_RIPEMD160: {OP_RIPEMD160, "OP_RIPEMD160", 1, opcodeRipemd160}, + OP_SHA1: {OP_SHA1, "OP_SHA1", 1, opcodeSha1}, + OP_SHA256: {OP_SHA256, "OP_SHA256", 1, opcodeSha256}, + OP_BLAKE256: {OP_BLAKE256, "OP_BLAKE256", 1, opcodeBlake256}, + OP_HASH160: {OP_HASH160, "OP_HASH160", 1, opcodeHash160}, + OP_HASH256: {OP_HASH256, "OP_HASH256", 1, opcodeHash256}, + OP_CODESEPARATOR: {OP_CODESEPARATOR, "OP_CODESEPARATOR", 1, opcodeDisabled}, // Disabled + OP_CHECKSIG: {OP_CHECKSIG, "OP_CHECKSIG", 1, opcodeCheckSig}, + OP_CHECKSIGVERIFY: {OP_CHECKSIGVERIFY, "OP_CHECKSIGVERIFY", 1, opcodeCheckSigVerify}, + OP_CHECKMULTISIG: {OP_CHECKMULTISIG, "OP_CHECKMULTISIG", 1, opcodeCheckMultiSig}, + OP_CHECKMULTISIGVERIFY: {OP_CHECKMULTISIGVERIFY, "OP_CHECKMULTISIGVERIFY", 1, opcodeCheckMultiSigVerify}, + + // Reserved opcodes. + OP_NOP1: {OP_NOP1, "OP_NOP1", 1, opcodeNop}, + OP_NOP4: {OP_NOP4, "OP_NOP4", 1, opcodeNop}, + OP_NOP5: {OP_NOP5, "OP_NOP5", 1, opcodeNop}, + OP_NOP6: {OP_NOP6, "OP_NOP6", 1, opcodeNop}, + OP_NOP7: {OP_NOP7, "OP_NOP7", 1, opcodeNop}, + OP_NOP8: {OP_NOP8, "OP_NOP8", 1, opcodeNop}, + OP_NOP9: {OP_NOP9, "OP_NOP9", 1, opcodeNop}, + OP_NOP10: {OP_NOP10, "OP_NOP10", 1, opcodeNop}, + + // SS* opcodes. + OP_SSTX: {OP_SSTX, "OP_SSTX", 1, opcodeNop}, + OP_SSGEN: {OP_SSGEN, "OP_SSGEN", 1, opcodeNop}, + OP_SSRTX: {OP_SSRTX, "OP_SSRTX", 1, opcodeNop}, + OP_SSTXCHANGE: {OP_SSTXCHANGE, "OP_SSTXCHANGE", 1, opcodeNop}, + + // Alternative checksig opcode. + OP_CHECKSIGALT: {OP_CHECKSIGALT, "OP_CHECKSIGALT", 1, opcodeCheckSigAlt}, + OP_CHECKSIGALTVERIFY: {OP_CHECKSIGALTVERIFY, "OP_CHECKSIGALTVERIFY", 1, opcodeCheckSigAltVerify}, + + // Qitmeer Token opcode. + OP_TOKEN_MINT: {OP_TOKEN_MINT, "OP_TOKEN_MINT", 1, opcodeNop}, + OP_TOKEN_UNMINT: {OP_TOKEN_UNMINT, "OP_TOKEN_UNMINT", 1, opcodeNop}, + OP_MEER_LOCK: {OP_MEER_LOCK, "OP_MEER_LOCK", 1, opcodeNop}, + OP_MEER_RELEASE: {OP_MEER_RELEASE, "OP_MEER_RELEASE", 1, opcodeNop}, + OP_TOKEN_DESTORY: {OP_TOKEN_DESTORY, "OP_TOKEN_DESTORY", 1, opcodeNop}, + OP_TOKEN_RELEASE: {OP_TOKEN_RELEASE, "OP_TOKEN_RELEASE", 1, opcodeNop}, + OP_MEER_CHANGE: {OP_MEER_CHANGE, "OP_MEER_CHANGE", 1, opcodeNop}, + OP_TOKEN_CHANGE: {OP_TOKEN_CHANGE, "OP_TOKEN_CHANGE", 1, opcodeNop}, + OP_TOKEN: {OP_TOKEN, "OP_TOKEN", 1, opcodeCheckTokenVerify}, + // Undefined opcodes. + + OP_UNKNOWN202: {OP_UNKNOWN202, "OP_UNKNOWN202", 1, opcodeNop}, + OP_UNKNOWN203: {OP_UNKNOWN203, "OP_UNKNOWN203", 1, opcodeNop}, + OP_UNKNOWN204: {OP_UNKNOWN204, "OP_UNKNOWN204", 1, opcodeNop}, + OP_UNKNOWN205: {OP_UNKNOWN205, "OP_UNKNOWN205", 1, opcodeNop}, + OP_UNKNOWN206: {OP_UNKNOWN206, "OP_UNKNOWN206", 1, opcodeNop}, + OP_UNKNOWN207: {OP_UNKNOWN207, "OP_UNKNOWN207", 1, opcodeNop}, + OP_UNKNOWN208: {OP_UNKNOWN208, "OP_UNKNOWN208", 1, opcodeNop}, + OP_UNKNOWN209: {OP_UNKNOWN209, "OP_UNKNOWN209", 1, opcodeNop}, + OP_UNKNOWN210: {OP_UNKNOWN210, "OP_UNKNOWN210", 1, opcodeNop}, + OP_UNKNOWN211: {OP_UNKNOWN211, "OP_UNKNOWN211", 1, opcodeNop}, + OP_UNKNOWN212: {OP_UNKNOWN212, "OP_UNKNOWN212", 1, opcodeNop}, + OP_UNKNOWN213: {OP_UNKNOWN213, "OP_UNKNOWN213", 1, opcodeNop}, + OP_UNKNOWN214: {OP_UNKNOWN214, "OP_UNKNOWN214", 1, opcodeNop}, + OP_UNKNOWN215: {OP_UNKNOWN215, "OP_UNKNOWN215", 1, opcodeNop}, + OP_UNKNOWN216: {OP_UNKNOWN216, "OP_UNKNOWN216", 1, opcodeNop}, + OP_UNKNOWN217: {OP_UNKNOWN217, "OP_UNKNOWN217", 1, opcodeNop}, + OP_UNKNOWN218: {OP_UNKNOWN218, "OP_UNKNOWN218", 1, opcodeNop}, + OP_UNKNOWN219: {OP_UNKNOWN219, "OP_UNKNOWN219", 1, opcodeNop}, + OP_UNKNOWN220: {OP_UNKNOWN220, "OP_UNKNOWN220", 1, opcodeNop}, + OP_UNKNOWN221: {OP_UNKNOWN221, "OP_UNKNOWN221", 1, opcodeNop}, + OP_UNKNOWN222: {OP_UNKNOWN222, "OP_UNKNOWN222", 1, opcodeNop}, + OP_UNKNOWN223: {OP_UNKNOWN223, "OP_UNKNOWN223", 1, opcodeNop}, + OP_UNKNOWN224: {OP_UNKNOWN224, "OP_UNKNOWN224", 1, opcodeNop}, + OP_UNKNOWN225: {OP_UNKNOWN225, "OP_UNKNOWN225", 1, opcodeNop}, + OP_UNKNOWN226: {OP_UNKNOWN226, "OP_UNKNOWN226", 1, opcodeNop}, + OP_UNKNOWN227: {OP_UNKNOWN227, "OP_UNKNOWN227", 1, opcodeNop}, + OP_UNKNOWN228: {OP_UNKNOWN228, "OP_UNKNOWN228", 1, opcodeNop}, + OP_UNKNOWN229: {OP_UNKNOWN229, "OP_UNKNOWN229", 1, opcodeNop}, + OP_UNKNOWN230: {OP_UNKNOWN230, "OP_UNKNOWN230", 1, opcodeNop}, + OP_UNKNOWN231: {OP_UNKNOWN231, "OP_UNKNOWN231", 1, opcodeNop}, + OP_UNKNOWN232: {OP_UNKNOWN232, "OP_UNKNOWN232", 1, opcodeNop}, + OP_UNKNOWN233: {OP_UNKNOWN233, "OP_UNKNOWN233", 1, opcodeNop}, + OP_UNKNOWN234: {OP_UNKNOWN234, "OP_UNKNOWN234", 1, opcodeNop}, + OP_UNKNOWN235: {OP_UNKNOWN235, "OP_UNKNOWN235", 1, opcodeNop}, + OP_UNKNOWN236: {OP_UNKNOWN236, "OP_UNKNOWN236", 1, opcodeNop}, + OP_UNKNOWN237: {OP_UNKNOWN237, "OP_UNKNOWN237", 1, opcodeNop}, + OP_UNKNOWN238: {OP_UNKNOWN238, "OP_UNKNOWN238", 1, opcodeNop}, + OP_UNKNOWN239: {OP_UNKNOWN239, "OP_UNKNOWN239", 1, opcodeNop}, + OP_UNKNOWN240: {OP_UNKNOWN240, "OP_UNKNOWN240", 1, opcodeNop}, + OP_UNKNOWN241: {OP_UNKNOWN241, "OP_UNKNOWN241", 1, opcodeNop}, + OP_UNKNOWN242: {OP_UNKNOWN242, "OP_UNKNOWN242", 1, opcodeNop}, + OP_UNKNOWN243: {OP_UNKNOWN243, "OP_UNKNOWN243", 1, opcodeNop}, + OP_UNKNOWN244: {OP_UNKNOWN244, "OP_UNKNOWN244", 1, opcodeNop}, + OP_UNKNOWN245: {OP_UNKNOWN245, "OP_UNKNOWN245", 1, opcodeNop}, + OP_UNKNOWN246: {OP_UNKNOWN246, "OP_UNKNOWN246", 1, opcodeNop}, + OP_UNKNOWN247: {OP_UNKNOWN247, "OP_UNKNOWN247", 1, opcodeNop}, + OP_UNKNOWN248: {OP_UNKNOWN248, "OP_UNKNOWN248", 1, opcodeNop}, + + // Bitcoin Core internal use opcode. Defined here for completeness. + OP_INVALID249: {OP_INVALID249, "OP_INVALID249", 1, opcodeInvalid}, + OP_SMALLINTEGER: {OP_SMALLINTEGER, "OP_SMALLINTEGER", 1, opcodeInvalid}, + OP_PUBKEYS: {OP_PUBKEYS, "OP_PUBKEYS", 1, opcodeInvalid}, + OP_UNKNOWN252: {OP_UNKNOWN252, "OP_UNKNOWN252", 1, opcodeInvalid}, + OP_PUBKEYHASH: {OP_PUBKEYHASH, "OP_PUBKEYHASH", 1, opcodeInvalid}, + OP_PUBKEY: {OP_PUBKEY, "OP_PUBKEY", 1, opcodeInvalid}, + + OP_INVALIDOPCODE: {OP_INVALIDOPCODE, "OP_INVALIDOPCODE", 1, opcodeInvalid}, +} + +// opcodeOnelineRepls defines opcode names which are replaced when doing a +// one-line disassembly. This is done to match the output of the reference +// implementation while not changing the opcode names in the nicer full +// disassembly. +var opcodeOnelineRepls = map[string]string{ + "OP_1NEGATE": "-1", + "OP_0": "0", + "OP_1": "1", + "OP_2": "2", + "OP_3": "3", + "OP_4": "4", + "OP_5": "5", + "OP_6": "6", + "OP_7": "7", + "OP_8": "8", + "OP_9": "9", + "OP_10": "10", + "OP_11": "11", + "OP_12": "12", + "OP_13": "13", + "OP_14": "14", + "OP_15": "15", + "OP_16": "16", +} + +// ParsedOpcode represents an opcode that has been parsed and includes any +// potential data associated with it. +type ParsedOpcode struct { + opcode *Opcode + data []byte +} + +func (c *ParsedOpcode) GetData() []byte { + return c.data +} + +func (c *ParsedOpcode) GetOpcode() *Opcode { + return c.opcode +} + +// isDisabled returns whether or not the opcode is disabled and thus is always +// bad to see in the instruction stream (even if turned off by a conditional). +func (pop *ParsedOpcode) isDisabled() bool { + switch pop.opcode.value { + case OP_CODESEPARATOR: + return true + default: + return false + } +} + +// alwaysIllegal returns whether or not the opcode is always illegal when passed +// over by the program counter even if in a non-executed branch (it isn't a +// coincidence that they are conditionals). +func (pop *ParsedOpcode) alwaysIllegal() bool { + switch pop.opcode.value { + case OP_VERIF: + return true + case OP_VERNOTIF: + return true + default: + return false + } +} + +// isConditional returns whether or not the opcode is a conditional opcode which +// changes the conditional execution stack when executed. +func (pop *ParsedOpcode) isConditional() bool { + switch pop.opcode.value { + case OP_IF: + return true + case OP_NOTIF: + return true + case OP_ELSE: + return true + case OP_ENDIF: + return true + default: + return false + } +} + +// checkMinimalDataPush returns whether or not the current data push uses the +// smallest possible opcode to represent it. For example, the value 15 could +// be pushed with OP_DATA_1 15 (among other variations); however, OP_15 is a +// single opcode that represents the same value and is only a single byte versus +// two bytes. +func (pop *ParsedOpcode) checkMinimalDataPush() error { + data := pop.data + dataLen := len(data) + opcode := pop.opcode.value + + if dataLen == 0 && opcode != OP_0 { + return ErrStackMinimalData + } else if dataLen == 1 && data[0] >= 1 && data[0] <= 16 { + if opcode != OP_1+data[0]-1 { + // Should have used OP_1 .. OP_16 + return ErrStackMinimalData + } + } else if dataLen == 1 && data[0] == 0x81 { + if opcode != OP_1NEGATE { + return ErrStackMinimalData + } + } else if dataLen <= 75 { + if int(opcode) != dataLen { + // Should have used a direct push + return ErrStackMinimalData + } + } else if dataLen <= 255 { + if opcode != OP_PUSHDATA1 { + return ErrStackMinimalData + } + } else if dataLen <= 65535 { + if opcode != OP_PUSHDATA2 { + return ErrStackMinimalData + } + } + return nil +} + +// print returns a human-readable string representation of the opcode for use +// in script disassembly. +func (pop *ParsedOpcode) print(oneline bool) string { + // The reference implementation one-line disassembly replaces opcodes + // which represent values (e.g. OP_0 through OP_16 and OP_1NEGATE) + // with the raw value. However, when not doing a one-line dissassembly, + // we prefer to show the actual opcode names. Thus, only replace the + // opcodes in question when the oneline flag is set. + opcodeName := pop.opcode.name + if oneline { + if replName, ok := opcodeOnelineRepls[opcodeName]; ok { + opcodeName = replName + } + + // Nothing more to do for non-data push opcodes. + if pop.opcode.length == 1 { + return opcodeName + } + + return fmt.Sprintf("%x", pop.data) + } + + // Nothing more to do for non-data push opcodes. + if pop.opcode.length == 1 { + return opcodeName + } + + // Add length for the OP_PUSHDATA# opcodes. + retString := opcodeName + switch pop.opcode.length { + case -1: + retString += fmt.Sprintf(" 0x%02x", len(pop.data)) + case -2: + retString += fmt.Sprintf(" 0x%04x", len(pop.data)) + case -4: + retString += fmt.Sprintf(" 0x%08x", len(pop.data)) + } + + return fmt.Sprintf("%s 0x%02x", retString, pop.data) +} + +// bytes returns any data associated with the opcode encoded as it would be in +// a script. This is used for unparsing scripts from parsed opcodes. +func (pop *ParsedOpcode) bytes() ([]byte, error) { + var retbytes []byte + if pop.opcode.length > 0 { + retbytes = make([]byte, 1, pop.opcode.length) + } else { + retbytes = make([]byte, 1, 1+len(pop.data)- + pop.opcode.length) + } + + retbytes[0] = pop.opcode.value + if pop.opcode.length == 1 { + if len(pop.data) != 0 { + return nil, ErrStackInvalidOpcode + } + return retbytes, nil + } + nbytes := pop.opcode.length + if pop.opcode.length < 0 { + l := len(pop.data) + // tempting just to hardcode to avoid the complexity here. + switch pop.opcode.length { + case -1: + retbytes = append(retbytes, byte(l)) + nbytes = int(retbytes[1]) + len(retbytes) + case -2: + retbytes = append(retbytes, byte(l&0xff), + byte(l>>8&0xff)) + nbytes = int(binary.LittleEndian.Uint16(retbytes[1:])) + + len(retbytes) + case -4: + retbytes = append(retbytes, byte(l&0xff), + byte((l>>8)&0xff), byte((l>>16)&0xff), + byte((l>>24)&0xff)) + nbytes = int(binary.LittleEndian.Uint32(retbytes[1:])) + + len(retbytes) + } + } + + retbytes = append(retbytes, pop.data...) + + if len(retbytes) != nbytes { + return nil, ErrStackInvalidOpcode + } + + return retbytes, nil +} + +// ******************************************* +// Opcode implementation functions start here. +// ******************************************* + +// opcodeDisabled is a common handler for disabled opcodes. It returns an +// appropriate error indicating the opcode is disabled. While it would +// ordinarily make more sense to detect if the script contains any disabled +// opcodes before executing in an initial parse step, the consensus rules +// dictate the script doesn't fail until the program counter passes over a +// disabled opcode (even when they appear in a branch that is not executed). +func opcodeDisabled(op *ParsedOpcode, vm *Engine) error { + return ErrStackOpDisabled +} + +// opcodeReserved is a common handler for all reserved opcodes. It returns an +// appropriate error indicating the opcode is reserved. +func opcodeReserved(op *ParsedOpcode, vm *Engine) error { + return ErrStackReservedOpcode +} + +// opcodeInvalid is a common handler for all invalid opcodes. It returns an +// appropriate error indicating the opcode is invalid. +func opcodeInvalid(op *ParsedOpcode, vm *Engine) error { + return ErrStackInvalidOpcode +} + +// opcodeFalse pushes an empty array to the data stack to represent false. Note +// that 0, when encoded as a number according to the numeric encoding consensus +// rules, is an empty array. +func opcodeFalse(op *ParsedOpcode, vm *Engine) error { + vm.dstack.PushByteArray(nil) + return nil +} + +// opcodePushData is a common handler for the vast majority of opcodes that push +// raw data (bytes) to the data stack. +func opcodePushData(op *ParsedOpcode, vm *Engine) error { + vm.dstack.PushByteArray(op.data) + return nil +} + +// opcode1Negate pushes -1, encoded as a number, to the data stack. +func opcode1Negate(op *ParsedOpcode, vm *Engine) error { + vm.dstack.PushInt(scriptNum(-1)) + return nil +} + +// opcodeN is a common handler for the small integer data push opcodes. It +// pushes the numeric value the opcode represents (which will be from 1 to 16) +// onto the data stack. +func opcodeN(op *ParsedOpcode, vm *Engine) error { + // The opcodes are all defined consecutively, so the numeric value is + // the difference. + vm.dstack.PushInt(scriptNum((op.opcode.value - (OP_1 - 1)))) + return nil +} + +// opcodeNop is a common handler for the NOP family of opcodes. As the name +// implies it generally does nothing, however, it will return an error when +// the flag to discourage use of NOPs is set for select opcodes. +func opcodeNop(op *ParsedOpcode, vm *Engine) error { + switch op.opcode.value { + case OP_NOP1, OP_NOP4, OP_NOP5, OP_NOP6, + OP_NOP7, OP_NOP8, OP_NOP9, OP_NOP10, OP_UNKNOWN202, OP_UNKNOWN203, + OP_UNKNOWN204, OP_UNKNOWN205, OP_UNKNOWN206, OP_UNKNOWN207, + OP_UNKNOWN208, OP_UNKNOWN209, OP_UNKNOWN210, OP_UNKNOWN211, + OP_UNKNOWN212, OP_UNKNOWN213, OP_UNKNOWN214, OP_UNKNOWN215, + OP_UNKNOWN216, OP_UNKNOWN217, OP_UNKNOWN218, OP_UNKNOWN219, + OP_UNKNOWN220, OP_UNKNOWN221, OP_UNKNOWN222, OP_UNKNOWN223, + OP_UNKNOWN224, OP_UNKNOWN225, OP_UNKNOWN226, OP_UNKNOWN227, + OP_UNKNOWN228, OP_UNKNOWN229, OP_UNKNOWN230, OP_UNKNOWN231, + OP_UNKNOWN232, OP_UNKNOWN233, OP_UNKNOWN234, OP_UNKNOWN235, + OP_UNKNOWN236, OP_UNKNOWN237, OP_UNKNOWN238, OP_UNKNOWN239, + OP_UNKNOWN240, OP_UNKNOWN241, OP_UNKNOWN242, OP_UNKNOWN243, + OP_UNKNOWN244, OP_UNKNOWN245, OP_UNKNOWN246, OP_UNKNOWN247, + OP_UNKNOWN248: + + if vm.hasFlag(ScriptDiscourageUpgradableNops) { + return fmt.Errorf("%s reserved for upgrades", + op.opcode.name) + } + } + return nil +} + +// opcodeIf treats the top item on the data stack as a boolean and removes it. +// +// An appropriate entry is added to the conditional stack depending on whether +// the boolean is true and whether this if is on an executing branch in order +// to allow proper execution of further opcodes depending on the conditional +// logic. When the boolean is true, the first branch will be executed (unless +// this opcode is nested in a non-executed branch). +// +// if [statements] [else [statements]] endif +// +// Note that, unlike for all non-conditional opcodes, this is executed even when +// it is on a non-executing branch so proper nesting is maintained. +// +// Data stack transformation: [... bool] -> [...] +// Conditional stack transformation: [...] -> [... OpCondValue] +func opcodeIf(op *ParsedOpcode, vm *Engine) error { + condVal := OpCondFalse + if vm.isBranchExecuting() { + ok, err := vm.dstack.PopBool() + if err != nil { + return err + } + if ok { + condVal = OpCondTrue + } + } else { + condVal = OpCondSkip + } + vm.condStack = append(vm.condStack, condVal) + return nil +} + +// opcodeNotIf treats the top item on the data stack as a boolean and removes +// it. +// +// An appropriate entry is added to the conditional stack depending on whether +// the boolean is true and whether this if is on an executing branch in order +// to allow proper execution of further opcodes depending on the conditional +// logic. When the boolean is false, the first branch will be executed (unless +// this opcode is nested in a non-executed branch). +// +// notif [statements] [else [statements]] endif +// +// Note that, unlike for all non-conditional opcodes, this is executed even when +// it is on a non-executing branch so proper nesting is maintained. +// +// Data stack transformation: [... bool] -> [...] +// Conditional stack transformation: [...] -> [... OpCondValue] +func opcodeNotIf(op *ParsedOpcode, vm *Engine) error { + condVal := OpCondFalse + if vm.isBranchExecuting() { + ok, err := vm.dstack.PopBool() + if err != nil { + return err + } + if !ok { + condVal = OpCondTrue + } + } else { + condVal = OpCondSkip + } + vm.condStack = append(vm.condStack, condVal) + return nil +} + +// opcodeElse inverts conditional execution for other half of if/else/endif. +// +// An error is returned if there has not already been a matching OP_IF. +// +// Conditional stack transformation: [... OpCondValue] -> [... !OpCondValue] +func opcodeElse(op *ParsedOpcode, vm *Engine) error { + if len(vm.condStack) == 0 { + return ErrStackNoIf + } + + conditionalIdx := len(vm.condStack) - 1 + switch vm.condStack[conditionalIdx] { + case OpCondTrue: + vm.condStack[conditionalIdx] = OpCondFalse + case OpCondFalse: + vm.condStack[conditionalIdx] = OpCondTrue + case OpCondSkip: + // Value doesn't change in skip since it indicates this opcode + // is nested in a non-executed branch. + } + return nil +} + +// opcodeEndif terminates a conditional block, removing the value from the +// conditional execution stack. +// +// An error is returned if there has not already been a matching OP_IF. +// +// Conditional stack transformation: [... OpCondValue] -> [...] +func opcodeEndif(op *ParsedOpcode, vm *Engine) error { + if len(vm.condStack) == 0 { + return ErrStackNoIf + } + + vm.condStack = vm.condStack[:len(vm.condStack)-1] + return nil +} + +// opcodeVerify examines the top item on the data stack as a boolean value and +// verifies it evaluates to true. An error is returned if it does not. +func opcodeVerify(op *ParsedOpcode, vm *Engine) error { + verified, err := vm.dstack.PopBool() + if err != nil { + return err + } + + if !verified { + return ErrStackVerifyFailed + } + return nil +} + +// opcodeReturn returns an appropriate error since it is always an error to +// return early from a script. +func opcodeReturn(op *ParsedOpcode, vm *Engine) error { + return ErrStackEarlyReturn +} + +// verifyLockTime is a helper function used to validate locktimes. +func verifyLockTime(txLockTime, threshold, lockTime int64) error { + // The lockTimes in both the script and transaction must be of the same + // type. + if !((txLockTime < threshold && lockTime < threshold) || + (txLockTime >= threshold && lockTime >= threshold)) { + return fmt.Errorf("mismatched locktime types -- tx locktime %d, stack "+ + "locktime %d", txLockTime, lockTime) + } + + if lockTime > txLockTime { + str := "locktime requirement not satisfied -- locktime is " + + "greater than the transaction locktime: %d > %d" + return fmt.Errorf(str, lockTime, txLockTime) + } + + return nil +} + +// opcodeCheckLockTimeVerify compares the top item on the data stack to the +// LockTime field of the transaction containing the script signature +// validating if the transaction outputs are spendable yet. If flag +// ScriptVerifyCheckLockTimeVerify is not set, the code continues as if OP_NOP2 +// were executed. +func opcodeCheckLockTimeVerify(op *ParsedOpcode, vm *Engine) error { + // If the ScriptVerifyCheckLockTimeVerify script flag is not set, treat + // opcode as OP_NOP2 instead. + if !vm.hasFlag(ScriptVerifyCheckLockTimeVerify) { + if vm.hasFlag(ScriptDiscourageUpgradableNops) { + return errors.New("OP_NOP2 reserved for soft-fork " + + "upgrades") + } + return nil + } + + // The current transaction locktime is a uint32 resulting in a maximum + // locktime of 2^32-1 (the year 2106). However, scriptNums are signed + // and therefore a standard 4-byte scriptNum would only support up to a + // maximum of 2^31-1 (the year 2038). Thus, a 5-byte scriptNum is used + // here since it will support up to 2^39-1 which allows dates beyond the + // current locktime limit. + // + // PeekByteArray is used here instead of PeekInt because we do not want + // to be limited to a 4-byte integer for reasons specified above. + so, err := vm.dstack.PeekByteArray(0) + if err != nil { + return err + } + lockTime, err := makeScriptNum(so, vm.dstack.verifyMinimalData, 5) + if err != nil { + return err + } + + // In the rare event that the argument needs to be < 0 due to some + // arithmetic being done first, you can always use + // 0 OP_MAX OP_CHECKLOCKTIMEVERIFY. + if lockTime < 0 { + return fmt.Errorf("negative locktime: %d", lockTime) + } + + // The lock time field of a transaction is either a block height at + // which the transaction is finalized or a timestamp depending on if the + // value is before the txscript.LockTimeThreshold. When it is under the + // threshold it is a block height. + err = verifyLockTime(int64(vm.tx.LockTime), LockTimeThreshold, + int64(lockTime)) + if err != nil { + return err + } + + // The lock time feature can also be disabled, thereby bypassing + // OP_CHECKLOCKTIMEVERIFY, if every transaction input has been finalized by + // setting its sequence to the maximum value (types.MaxTxInSequenceNum). This + // condition would result in the transaction being allowed into the blockchain + // making the opcode ineffective. + // + // This condition is prevented by enforcing that the input being used by + // the opcode is unlocked (its sequence number is less than the max + // value). This is sufficient to prove correctness without having to + // check every input. + // + // NOTE: This implies that even if the transaction is not finalized due to + // another input being unlocked, the opcode execution will still fail when the + // input being used by the opcode is locked. + if vm.tx.TxIn[vm.txIdx].Sequence == types.MaxTxInSequenceNum { + return errors.New("transaction input is finalized") + } + + return nil +} + +// opcodeCheckSequenceVerify compares the top item on the data stack to the +// LockTime field of the transaction containing the script signature +// validating if the transaction outputs are spendable yet. If flag +// ScriptVerifyCheckSequenceVerify is not set, the code continues as if OP_NOP3 +// were executed. +func opcodeCheckSequenceVerify(op *ParsedOpcode, vm *Engine) error { + // If the ScriptVerifyCheckSequenceVerify script flag is not set, treat + // opcode as OP_NOP3 instead. + if !vm.hasFlag(ScriptVerifyCheckSequenceVerify) { + if vm.hasFlag(ScriptDiscourageUpgradableNops) { + return errors.New("OP_NOP3 reserved for soft-fork " + + "upgrades") + } + return nil + } + + // The current transaction sequence is a uint32 resulting in a maximum + // sequence of 2^32-1. However, scriptNums are signed and therefore a + // standard 4-byte scriptNum would only support up to a maximum of + // 2^31-1. Thus, a 5-byte scriptNum is used here since it will support + // up to 2^39-1 which allows sequences beyond the current sequence + // limit. + // + // PeekByteArray is used here instead of PeekInt because we do not want + // to be limited to a 4-byte integer for reasons specified above. + so, err := vm.dstack.PeekByteArray(0) + if err != nil { + return err + } + stackSequence, err := makeScriptNum(so, vm.dstack.verifyMinimalData, 5) + if err != nil { + return err + } + + // In the rare event that the argument needs to be < 0 due to some + // arithmetic being done first, you can always use + // 0 OP_MAX OP_CHECKSEQUENCEVERIFY. + if stackSequence < 0 { + return fmt.Errorf("negative sequence: %d", stackSequence) + } + + sequence := int64(stackSequence) + + // To provide for future soft-fork extensibility, if the + // operand has the disabled lock-time flag set, + // CHECKSEQUENCEVERIFY behaves as a NOP. + if types.IsSequenceLockTimeDisabled(uint32(sequence)) { + return nil + } + + // Transaction version numbers not high enough to trigger CSV rules must + // fail. + if vm.tx.Version < 2 { + return fmt.Errorf("invalid transaction version: %d", + vm.tx.Version) + } + + // Sequence numbers with their most significant bit set are not + // consensus constrained. Testing that the transaction's sequence + // number does not have this bit set prevents using this property + // to get around a CHECKSEQUENCEVERIFY check. + txSequence := int64(vm.tx.TxIn[vm.txIdx].Sequence) + if types.IsSequenceLockTimeDisabled(uint32(txSequence)) { + return fmt.Errorf("transaction sequence has sequence "+ + "locktime disabled bit set: 0x%x", txSequence) + } + + // Mask off non-consensus bits before doing comparisons. + lockTimeMask := int64(types.SequenceLockTimeIsSeconds | + types.SequenceLockTimeMask) + return verifyLockTime(txSequence&lockTimeMask, + types.SequenceLockTimeIsSeconds, + sequence&lockTimeMask) +} + +// opcodeToAltStack removes the top item from the main data stack and pushes it +// onto the alternate data stack. +// +// Main data stack transformation: [... x1 x2 x3] -> [... x1 x2] +// Alt data stack transformation: [... y1 y2 y3] -> [... y1 y2 y3 x3] +func opcodeToAltStack(op *ParsedOpcode, vm *Engine) error { + so, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + vm.astack.PushByteArray(so) + + return nil +} + +// opcodeFromAltStack removes the top item from the alternate data stack and +// pushes it onto the main data stack. +// +// Main data stack transformation: [... x1 x2 x3] -> [... x1 x2 x3 y3] +// Alt data stack transformation: [... y1 y2 y3] -> [... y1 y2] +func opcodeFromAltStack(op *ParsedOpcode, vm *Engine) error { + so, err := vm.astack.PopByteArray() + if err != nil { + return err + } + vm.dstack.PushByteArray(so) + + return nil +} + +// opcode2Drop removes the top 2 items from the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1] +func opcode2Drop(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.DropN(2) +} + +// opcode2Dup duplicates the top 2 items on the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2 x3 x2 x3] +func opcode2Dup(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.DupN(2) +} + +// opcode3Dup duplicates the top 3 items on the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2 x3 x1 x2 x3] +func opcode3Dup(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.DupN(3) +} + +// opcode2Over duplicates the 2 items before the top 2 items on the data stack. +// +// Stack transformation: [... x1 x2 x3 x4] -> [... x1 x2 x3 x4 x1 x2] +func opcode2Over(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.OverN(2) +} + +// opcode2Rot rotates the top 6 items on the data stack to the left twice. +// +// Stack transformation: [... x1 x2 x3 x4 x5 x6] -> [... x3 x4 x5 x6 x1 x2] +func opcode2Rot(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.RotN(2) +} + +// opcode2Swap swaps the top 2 items on the data stack with the 2 that come +// before them. +// +// Stack transformation: [... x1 x2 x3 x4] -> [... x3 x4 x1 x2] +func opcode2Swap(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.SwapN(2) +} + +// opcodeIfDup duplicates the top item of the stack if it is not zero. +// +// Stack transformation (x1==0): [... x1] -> [... x1] +// Stack transformation (x1!=0): [... x1] -> [... x1 x1] +func opcodeIfDup(op *ParsedOpcode, vm *Engine) error { + so, err := vm.dstack.PeekByteArray(0) + if err != nil { + return err + } + + // Push copy of data iff it isn't zero + if asBool(so) { + vm.dstack.PushByteArray(so) + } + + return nil +} + +// opcodeDepth pushes the depth of the data stack prior to executing this +// opcode, encoded as a number, onto the data stack. +// +// Stack transformation: [...] -> [... ] +// Example with 2 items: [x1 x2] -> [x1 x2 2] +// Example with 3 items: [x1 x2 x3] -> [x1 x2 x3 3] +func opcodeDepth(op *ParsedOpcode, vm *Engine) error { + vm.dstack.PushInt(scriptNum(vm.dstack.Depth())) + return nil +} + +// opcodeDrop removes the top item from the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2] +func opcodeDrop(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.DropN(1) +} + +// opcodeDup duplicates the top item on the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2 x3 x3] +func opcodeDup(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.DupN(1) +} + +// opcodeNip removes the item before the top item on the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x3] +func opcodeNip(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.NipN(1) +} + +// opcodeOver duplicates the item before the top item on the data stack. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2 x3 x2] +func opcodeOver(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.OverN(1) +} + +// opcodePick treats the top item on the data stack as an integer and duplicates +// the item on the stack that number of items back to the top. +// +// Stack transformation: [xn ... x2 x1 x0 n] -> [xn ... x2 x1 x0 xn] +// Example with n=1: [x2 x1 x0 1] -> [x2 x1 x0 x1] +// Example with n=2: [x2 x1 x0 2] -> [x2 x1 x0 x2] +func opcodePick(op *ParsedOpcode, vm *Engine) error { + val, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + return vm.dstack.PickN(val.Int32()) +} + +// opcodeRoll treats the top item on the data stack as an integer and moves +// the item on the stack that number of items back to the top. +// +// Stack transformation: [xn ... x2 x1 x0 n] -> [... x2 x1 x0 xn] +// Example with n=1: [x2 x1 x0 1] -> [x2 x0 x1] +// Example with n=2: [x2 x1 x0 2] -> [x1 x0 x2] +func opcodeRoll(op *ParsedOpcode, vm *Engine) error { + val, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + return vm.dstack.RollN(val.Int32()) +} + +// opcodeRot rotates the top 3 items on the data stack to the left. +// +// Stack transformation: [... x1 x2 x3] -> [... x2 x3 x1] +func opcodeRot(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.RotN(1) +} + +// opcodeSwap swaps the top two items on the stack. +// +// Stack transformation: [... x1 x2] -> [... x2 x1] +func opcodeSwap(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.SwapN(1) +} + +// opcodeTuck inserts a duplicate of the top item of the data stack before the +// second-to-top item. +// +// Stack transformation: [... x1 x2] -> [... x2 x1 x2] +func opcodeTuck(op *ParsedOpcode, vm *Engine) error { + return vm.dstack.Tuck() +} + +// opcodeCat treats the top two items of the data stack as raw bytes and +// replaces them with their concatenation. An error is returned if the result +// of the concatenation would exceed the max allowed stack item size. +// +// Stack transformation: [... x1 x2] -> [... x1 || x2] +func opcodeCat(op *ParsedOpcode, vm *Engine) error { + a, err := vm.dstack.PopByteArray() // x2 + if err != nil { + return err + } + b, err := vm.dstack.PopByteArray() // x1 + if err != nil { + return err + } + + // Handle zero length byte slice cases. If one or both of the top stack + // elements are nil, it's impossible for them to overflow the stack item + // when either is pushed back on. If both stack items are empty, push an + // empty byte slice back onto the stack. + switch { + case len(a) == 0 && len(b) > 0: + vm.dstack.PushByteArray(b) + return nil + case len(b) == 0 && len(a) > 0: + vm.dstack.PushByteArray(a) + return nil + case len(b) == 0 && len(a) == 0: + vm.dstack.PushByteArray(nil) + return nil + } + + // Ensure the result does not overflow the maximum stack item size. + combinedLen := len(a) + len(b) + if combinedLen > MaxScriptElementSize { + return ErrStackElementTooBig + } + + // Push the concatenated result back to the stack. + c := make([]byte, combinedLen) + copy(c, b) + copy(c[len(b):], a) + vm.dstack.PushByteArray(c) + return nil +} + +// opcodeSubstr pops off the top two stack elements and interprets them as +// integers. If the indices indicated exist within the next stack item that is +// also popped off, return the relevant substring based on the given start and +// end indexes. +// +// Stack transformation: [... x1 x2 x3] -> [... x1[x3:x2]] +func opcodeSubstr(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x3 + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + a, err := vm.dstack.PopByteArray() // x1 + if err != nil { + return err + } + + // All data pushes and pops are effectively limited to 32-bits, as are + // all math-related numeric pushes, so it is safe to cast the length to + // int32. The numeric values are also clamped to int32 accordingly. + aLen := int32(len(a)) + startIdx := v0.Int32() + endIdx := v1.Int32() + + // WARNING: This check really should be after the bounds checking since + // performing it here allows arbitrary indices to be used which is a + // source of malleability. Unfortunately, this is now part of + // consensus, so changing it requires a hard fork vote. + if aLen == 0 { + vm.dstack.PushByteArray(nil) + return nil + } + + // Ensure the provided indices are in bounds. + // + // Take special note that the start index check is > as opposed to >=, + // which means it is possible to provide a start index just after the + // final character in the string, so long as the end index is the same + // value, and an empty byte push will be produced. + if startIdx < 0 || endIdx < 0 { + return ErrSubstrIdxNegative + } + if startIdx > aLen { + return ErrSubstrIdxOutOfBounds + } + if endIdx > aLen { + return ErrSubstrIdxOutOfBounds + } + if startIdx > endIdx { + return ErrSubstrIdxOutOfBounds + } + + // Push the requested substring back to the stack. Note that identical + // start and end indices produces an empty byte push. + vm.dstack.PushByteArray(a[startIdx:endIdx]) + return nil +} + +// opcodeLeft treats the top item of data stack as an integer representing a +// zero-based end index, the second item as raw bytes to operate on, and +// replaces them both with data[0:endIdx]. That is to say the result is the +// bytes up to, but excluding, the specified zero-based end index of the given +// raw bytes. +// +// Stack transformation: [... x1 x2] -> [... x1[0:x2]] +func opcodeLeft(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + a, err := vm.dstack.PopByteArray() // x1 + if err != nil { + return err + } + + // All data pushes and pops are effectively limited to 32-bits, as are + // all math-related numeric pushes, so it is safe to cast the length to + // int32. The numeric values are also clamped to int32 accordingly. + aLen := int32(len(a)) + endIdx := v0.Int32() + + // WARNING: This check really should be after the bounds checking since + // performing it here allows an arbitrary index to be used which is a + // source of malleability. Unfortunately, this is now part of + // consensus, so changing it requires a hard fork vote. + if aLen == 0 { + vm.dstack.PushByteArray(nil) + return nil + } + + // Ensure the provided index is in bounds. + if endIdx < 0 { + return ErrSubstrIdxNegative + } + if endIdx > aLen { + return ErrSubstrIdxOutOfBounds + } + + // Push the requested substring back to the stack. Note that a zero + // end index produces an empty byte push. + vm.dstack.PushByteArray(a[:endIdx]) + return nil +} + +// opcodeRight treats the top item of data stack as an integer representing a +// zero-based start index, the second item as raw bytes to operate on, and +// replaces them both with data[startIdx:]. That is to say the result is the +// bytes to the right of, and including, the specified zero-based start index of +// the given raw bytes. +// +// Stack transformation: [... x1 x2] -> [... x1[x2:]] +func opcodeRight(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + a, err := vm.dstack.PopByteArray() // x1 + if err != nil { + return err + } + + // All data pushes and pops are effectively limited to 32-bits, as are + // all math-related numeric pushes, so it is safe to cast the length to + // int32. The numeric values are also clamped to int32 accordingly. + aLen := int32(len(a)) + startIdx := v0.Int32() + + // WARNING: This check really should be after the bounds checking since + // performing it here allows an arbitrary index to be used which is a + // source of malleability. Unfortunately, this is now part of + // consensus, so changing it requires a hard fork vote. + if aLen == 0 { + vm.dstack.PushByteArray(nil) + return nil + } + + // Ensure the provided index is in bounds. + // + // Take special note that the start index check is > as opposed to >=, + // which means it is possible to provide a start index just after the + // final character in the string, and an empty byte push will be + // produced. + if startIdx < 0 { + return ErrSubstrIdxNegative + } + if startIdx > aLen { + return ErrSubstrIdxOutOfBounds + } + + // Push the requested substring back to the stack. Note that a start + // index that is identical to the length of the string produces an + // empty byte push. + vm.dstack.PushByteArray(a[startIdx:]) + return nil +} + +// opcodeSize pushes the size of the top item of the data stack onto the data +// stack. +// +// Stack transformation: [... x1] -> [... x1 len(x1)] +func opcodeSize(op *ParsedOpcode, vm *Engine) error { + so, err := vm.dstack.PeekByteArray(0) + if err != nil { + return err + } + + vm.dstack.PushInt(scriptNum(len(so))) + return nil +} + +// opcodeInvert pops the top item off the stack, interprets it as an int32, +// inverts the bits, and then pushes it back to the stack. +// Stack transformation: [... x1] -> [... ~x1] +func opcodeInvert(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(scriptNum(^v0.Int32())) + return nil +} + +// opcodeAnd pops the top two items off the stack, interprets them as int32s, +// bitwise ANDs the value, and then pushes the result back to the stack. +// Stack transformation: [... x1 x2] -> [... x1 & x2] +func opcodeAnd(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(scriptNum(v0.Int32() & v1.Int32())) + return nil +} + +// opcodeOr pops the top two items off the stack, interprets them as int32s, +// bitwise ORs the value, and then pushes the result back to the stack. +// Stack transformation: [... x1 x2] -> [... x1 | x2] +func opcodeOr(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(scriptNum(v0.Int32() | v1.Int32())) + return nil +} + +// opcodeXor pops the top two items off the stack, interprets them as int32s, +// bitwise XORs the value, and then pushes the result back to the stack. +// Stack transformation: [... x1 x2] -> [... x1 ^ x2] +func opcodeXor(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(scriptNum(v0.Int32() ^ v1.Int32())) + return nil +} + +// opcodeEqual removes the top 2 items of the data stack, compares them as raw +// bytes, and pushes the result, encoded as a boolean, back to the stack. +// +// Stack transformation: [... x1 x2] -> [... bool] +func opcodeEqual(op *ParsedOpcode, vm *Engine) error { + a, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + b, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + vm.dstack.PushBool(bytes.Equal(a, b)) + return nil +} + +// opcodeEqualVerify is a combination of opcodeEqual and opcodeVerify. +// Specifically, it removes the top 2 items of the data stack, compares them, +// and pushes the result, encoded as a boolean, back to the stack. Then, it +// examines the top item on the data stack as a boolean value and verifies it +// evaluates to true. An error is returned if it does not. +// +// Stack transformation: [... x1 x2] -> [... bool] -> [...] +func opcodeEqualVerify(op *ParsedOpcode, vm *Engine) error { + err := opcodeEqual(op, vm) + if err == nil { + err = opcodeVerify(op, vm) + } + return err +} + +func rotateRight(value int32, count int32) int32 { + v := uint32(value) + c := uint32(count) + return int32((v >> c) | (v << (32 - c))) +} + +// opcodeRotr treats the top two items of the data stack as 32-bit integers +// where the top item represents the number of bits to rotate to the right (up +// to 31), and the second item represents the value to rotate (after casting to +// a uint32), and replaces them both with the result of the rotation. +// +// Stack transformation: [... x1 x2] -> [... rotr(x1, x2)] +func opcodeRotr(op *ParsedOpcode, vm *Engine) error { + // WARNING: Since scriptNums are signed, a standard 4-byte scriptNum only + // supports up to a maximum of 2^31-1. The value (v1) really should allow + // 5-byte scriptNums and have an overflow check later to clamp it to uint32, + // so the full range of uint32 could be covered. This has undesirable + // consequences on the semantics of right rotations such that attempting to + // do rotr(rotr(0x00000001, 1), 1) will fail due to the first rotation + // producing a value greater than the max int32 while rotr(0x00000001, 2) + // will work as expected. + // + // Unfortunately, a 4-byte scriptNum is now part of consensus, so changing + // it requires a consensus vote. + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x1 + if err != nil { + return err + } + + // The count and value are limited to int32 via the above, so it is safe to + // cast them. + count := v0.Int32() + value := v1.Int32() + + // Don't allow invalid or pointless rotations. + if count < 0 { + return ErrNegativeRotation + } + if count > 31 { + return ErrRotationOverflow + } + + vm.dstack.PushInt(scriptNum(rotateRight(value, count))) + return nil +} + +func rotateLeft(value int32, count int32) int32 { + v := uint32(value) + c := uint32(count) + return int32((v << c) | (v >> (32 - c))) +} + +// opcodeRotl treats the top two items of the data stack as 32-bit integers +// where the top item represents the number of bits to rotate to the left (up to +// 31), and the second item represents the value to rotate (after casting to a +// uint32), and replaces them both with the result of the rotation. +// +// Stack transformation: [... x1 x2] -> [... rotl(x1, x2)] +func opcodeRotl(op *ParsedOpcode, vm *Engine) error { + // WARNING: Since scriptNums are signed, a standard 4-byte scriptNum only + // supports up to a maximum of 2^31-1. The value (v1) really should allow + // 5-byte scriptNums and have an overflow check later to clamp it to uint32, + // so the full range of uint32 could be covered. This has undesirable + // consequences on the semantics of left rotations such that attempting to + // do rotl(rotl(0x40000000, 1), 1) will fail due to the first rotation + // producing a value greater than the max int32 while rotl(0x40000000, 2) + // will work as expected. + // + // Unfortunately, a 4-byte scriptNum is now part of consensus, so changing + // it requires a consensus vote. + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x1 + if err != nil { + return err + } + + // The count and value are limited to int32 via the above, so it is safe to + // cast them. + count := v0.Int32() + value := v1.Int32() + + // Don't allow invalid or pointless rotations. + if count < 0 { + return ErrNegativeRotation + } + if count > 31 { + return ErrRotationOverflow + } + + vm.dstack.PushInt(scriptNum(rotateLeft(value, count))) + return nil +} + +// opcode1Add treats the top item on the data stack as an integer and replaces +// it with its incremented value (plus 1). +// +// Stack transformation: [... x1 x2] -> [... x1 x2+1] +func opcode1Add(op *ParsedOpcode, vm *Engine) error { + m, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(m + 1) + return nil +} + +// opcode1Sub treats the top item on the data stack as an integer and replaces +// it with its decremented value (minus 1). +// +// Stack transformation: [... x1 x2] -> [... x1 x2-1] +func opcode1Sub(op *ParsedOpcode, vm *Engine) error { + m, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + vm.dstack.PushInt(m - 1) + + return nil +} + +// opcodeNegate treats the top item on the data stack as an integer and replaces +// it with its negation. +// +// Stack transformation: [... x1 x2] -> [... x1 -x2] +func opcodeNegate(op *ParsedOpcode, vm *Engine) error { + m, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(-m) + return nil +} + +// opcodeAbs treats the top item on the data stack as an integer and replaces it +// it with its absolute value. +// +// Stack transformation: [... x1 x2] -> [... x1 abs(x2)] +func opcodeAbs(op *ParsedOpcode, vm *Engine) error { + m, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if m < 0 { + m = -m + } + vm.dstack.PushInt(m) + return nil +} + +// opcodeNot treats the top item on the data stack as an integer and replaces +// it with its "inverted" value (0 becomes 1, non-zero becomes 0). +// +// NOTE: While it would probably make more sense to treat the top item as a +// boolean, and push the opposite, which is really what the intention of this +// opcode is, it is extremely important that is not done because integers are +// interpreted differently than booleans and the consensus rules for this opcode +// dictate the item is interpreted as an integer. +// +// Stack transformation (x2==0): [... x1 0] -> [... x1 1] +// Stack transformation (x2!=0): [... x1 1] -> [... x1 0] +// Stack transformation (x2!=0): [... x1 17] -> [... x1 0] +func opcodeNot(op *ParsedOpcode, vm *Engine) error { + m, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if m == 0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + return nil +} + +// opcode0NotEqual treats the top item on the data stack as an integer and +// replaces it with either a 0 if it is zero, or a 1 if it is not zero. +// +// Stack transformation (x2==0): [... x1 0] -> [... x1 0] +// Stack transformation (x2!=0): [... x1 1] -> [... x1 1] +// Stack transformation (x2!=0): [... x1 17] -> [... x1 1] +func opcode0NotEqual(op *ParsedOpcode, vm *Engine) error { + m, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if m != 0 { + m = 1 + } + vm.dstack.PushInt(m) + return nil +} + +// opcodeAdd treats the top two items on the data stack as integers and replaces +// them with their sum. +// +// Stack transformation: [... x1 x2] -> [... x1+x2] +func opcodeAdd(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(v0 + v1) + return nil +} + +// opcodeSub treats the top two items on the data stack as integers and replaces +// them with the result of subtracting the top entry from the second-to-top +// entry. +// +// Stack transformation: [... x1 x2] -> [... x1-x2] +func opcodeSub(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + vm.dstack.PushInt(v1 - v0) + return nil +} + +// opcodeMul treats the top two items on the data stack as integers and replaces +// them with the result of multiplying the top entry with the second-to-top +// entry as 4-byte integers. +// +// Stack transformation: [... x1 x2] -> [... x1*x2] +func opcodeMul(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v2 := v0.Int32() * v1.Int32() + + vm.dstack.PushInt(scriptNum(v2)) + return nil +} + +// opcodeDiv treats the top two items on the data stack as integers and replaces +// them with the result of dividing the top entry by the second-to-top entry as +// 4-byte integers. +// +// Stack transformation: [... x1 x2] -> [... x1/x2] +func opcodeDiv(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + // The dividend and divisor are limited to int32 via the above, so it is + // safe to cast them. + divisor := v0.Int32() + dividend := v1.Int32() + + if divisor == 0 { + return ErrDivideByZero + } + + vm.dstack.PushInt(scriptNum(dividend / divisor)) + return nil +} + +// opcodeMod treats the top two items on the data stack as integers and replaces +// them with the result of the modulus of the top entry by the second-to-top +// entry as 4-byte integers. Since the value to shift is treated as a +// signed 32-bit integer, truncated division semantics are used when negative +// values are used. In other words, the result will have the same sign as the +// dividend. +// +// Stack transformation: [... x1 x2] -> [... x1/x2] +func opcodeMod(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + // The dividend and divisor are limited to int32 via the above, so it is + // safe to cast them. + divisor := v0.Int32() + dividend := v1.Int32() + + if divisor == 0 { + return ErrDivideByZero + } + + vm.dstack.PushInt(scriptNum(dividend % divisor)) + return nil +} + +// opcodeLShift treats the top two items of the data stack as 32-bit integers +// where the top item represents the number of bits to left shift (up to 32), +// and the second item represents the value to shift, and replaces them both +// with the result of the shift. +// +// Stack transformation: [... x1 x2] -> [... x1 << x2] +func opcodeLShift(op *ParsedOpcode, vm *Engine) error { + // WARNING: Since scriptNums are signed, a standard 4-byte scriptNum only + // supports up to a maximum of 2^31-1. The value (v1) really should allow + // 5-byte scriptNums and have an overflow check later to clamp it to uint32, + // so the full range of uint32 could be covered. This has undesirable + // consequences on the semantics of left shift such that attempting to + // do ((0x40000000 << 1) << 1) will fail due to the first shift producing + // a value greater than the max int32 while (0x40000000 << 2) will work as + // expected. + // + // Unfortunately, a 4-byte scriptNum is now part of consensus, so changing + // it requires a consensus vote. + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x1 + if err != nil { + return err + } + + // The count and value are limited to int32 via the above, so it is safe to + // cast them. + count := v0.Int32() + value := v1.Int32() + + // Don't allow invalid or pointless shifts. + if count < 0 { + return ErrNegativeShift + } + if count > 32 { + return ErrShiftOverflow + } + + vm.dstack.PushInt(scriptNum(value << uint(count))) + return nil +} + +// opcodeRShift treats the top two items of the data stack as 32-bit integers +// where the top item represents the number of bits to right shift (up to 32), +// and the second item represents the value to shift, and replaces them both +// with the result of the shift. Since the value to shift is treated as a +// signed 32-bit integer, negative values right shifted will be sign extended. +// +// Stack transformation: [... x1 x2] -> [... x1 >> x2] +func opcodeRShift(op *ParsedOpcode, vm *Engine) error { + // WARNING: Since scriptNums are signed, a standard 4-byte scriptNum only + // supports up to a maximum of 2^31-1. The value (v1) really should allow + // 5-byte scriptNums and have an overflow check later to clamp it to uint32, + // so the full range of uint32 could be covered. This has undesirable + // consequences on the semantics of right shift such that attempting to + // do ((0x40000000 << 1) >> 1) will fail due to the first shift producing + // a value greater than the max int32. + // + // Unfortunately, a 4-byte scriptNum is now part of consensus, so changing + // it requires a consensus vote. + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x2 + if err != nil { + return err + } + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) // x1 + if err != nil { + return err + } + + // The count and value are limited to int32 via the above, so it is safe to + // cast them. + count := v0.Int32() + value := v1.Int32() + + // Don't allow invalid or pointless shifts. + if count < 0 { + return ErrNegativeShift + } + if count > 32 { + return ErrShiftOverflow + } + + vm.dstack.PushInt(scriptNum(value >> uint(count))) + return nil +} + +// opcodeBoolAnd treats the top two items on the data stack as integers. When +// both of them are not zero, they are replaced with a 1, otherwise a 0. +// +// Stack transformation (x1==0, x2==0): [... 0 0] -> [... 0] +// Stack transformation (x1!=0, x2==0): [... 5 0] -> [... 0] +// Stack transformation (x1==0, x2!=0): [... 0 7] -> [... 0] +// Stack transformation (x1!=0, x2!=0): [... 4 8] -> [... 1] +func opcodeBoolAnd(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v0 != 0 && v1 != 0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + + return nil +} + +// opcodeBoolOr treats the top two items on the data stack as integers. When +// either of them are not zero, they are replaced with a 1, otherwise a 0. +// +// Stack transformation (x1==0, x2==0): [... 0 0] -> [... 0] +// Stack transformation (x1!=0, x2==0): [... 5 0] -> [... 1] +// Stack transformation (x1==0, x2!=0): [... 0 7] -> [... 1] +// Stack transformation (x1!=0, x2!=0): [... 4 8] -> [... 1] +func opcodeBoolOr(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v0 != 0 || v1 != 0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + + return nil +} + +// opcodeNumEqual treats the top two items on the data stack as integers. When +// they are equal, they are replaced with a 1, otherwise a 0. +// +// Stack transformation (x1==x2): [... 5 5] -> [... 1] +// Stack transformation (x1!=x2): [... 5 7] -> [... 0] +func opcodeNumEqual(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v0 == v1 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + + return nil +} + +// opcodeNumEqualVerify is a combination of opcodeNumEqual and opcodeVerify. +// +// Specifically, treats the top two items on the data stack as integers. When +// they are equal, they are replaced with a 1, otherwise a 0. Then, it examines +// the top item on the data stack as a boolean value and verifies it evaluates +// to true. An error is returned if it does not. +// +// Stack transformation: [... x1 x2] -> [... bool] -> [...] +func opcodeNumEqualVerify(op *ParsedOpcode, vm *Engine) error { + err := opcodeNumEqual(op, vm) + if err == nil { + err = opcodeVerify(op, vm) + } + return err +} + +// opcodeNumNotEqual treats the top two items on the data stack as integers. +// When they are NOT equal, they are replaced with a 1, otherwise a 0. +// +// Stack transformation (x1==x2): [... 5 5] -> [... 0] +// Stack transformation (x1!=x2): [... 5 7] -> [... 1] +func opcodeNumNotEqual(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v0 != v1 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + + return nil +} + +// opcodeLessThan treats the top two items on the data stack as integers. When +// the second-to-top item is less than the top item, they are replaced with a 1, +// otherwise a 0. +// +// Stack transformation: [... x1 x2] -> [... bool] +func opcodeLessThan(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v1 < v0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + + return nil +} + +// opcodeGreaterThan treats the top two items on the data stack as integers. +// When the second-to-top item is greater than the top item, they are replaced +// with a 1, otherwise a 0. +// +// Stack transformation: [... x1 x2] -> [... bool] +func opcodeGreaterThan(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v1 > v0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + return nil +} + +// opcodeLessThanOrEqual treats the top two items on the data stack as integers. +// When the second-to-top item is less than or equal to the top item, they are +// replaced with a 1, otherwise a 0. +// +// Stack transformation: [... x1 x2] -> [... bool] +func opcodeLessThanOrEqual(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v1 <= v0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + return nil +} + +// opcodeGreaterThanOrEqual treats the top two items on the data stack as +// integers. When the second-to-top item is greater than or equal to the top +// item, they are replaced with a 1, otherwise a 0. +// +// Stack transformation: [... x1 x2] -> [... bool] +func opcodeGreaterThanOrEqual(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v1 >= v0 { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + + return nil +} + +// opcodeMin treats the top two items on the data stack as integers and replaces +// them with the minimum of the two. +// +// Stack transformation: [... x1 x2] -> [... min(x1, x2)] +func opcodeMin(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v1 < v0 { + vm.dstack.PushInt(v1) + } else { + vm.dstack.PushInt(v0) + } + + return nil +} + +// opcodeMax treats the top two items on the data stack as integers and replaces +// them with the maximum of the two. +// +// Stack transformation: [... x1 x2] -> [... max(x1, x2)] +func opcodeMax(op *ParsedOpcode, vm *Engine) error { + v0, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + v1, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if v1 > v0 { + vm.dstack.PushInt(v1) + } else { + vm.dstack.PushInt(v0) + } + + return nil +} + +// opcodeWithin treats the top 3 items on the data stack as integers. When the +// value to test is within the specified range (left inclusive), they are +// replaced with a 1, otherwise a 0. +// +// The top item is the max value, the second-top-item is the minimum value, and +// the third-to-top item is the value to test. +// +// Stack transformation: [... x1 min max] -> [... bool] +func opcodeWithin(op *ParsedOpcode, vm *Engine) error { + maxVal, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + minVal, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + x, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + if x >= minVal && x < maxVal { + vm.dstack.PushInt(scriptNum(1)) + } else { + vm.dstack.PushInt(scriptNum(0)) + } + return nil +} + +// calcHash calculates the hash of hasher over buf. +func calcHash(buf []byte, hasher hhash.Hash) []byte { + hasher.Write(buf) + return hasher.Sum(nil) +} + +// opcodeRipemd160 treats the top item of the data stack as raw bytes and +// replaces it with ripemd160(data). +// +// Stack transformation: [... x1] -> [... ripemd160(x1)] +func opcodeRipemd160(op *ParsedOpcode, vm *Engine) error { + buf, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + vm.dstack.PushByteArray(calcHash(buf, ripemd160.New())) + return nil +} + +// opcodeSha1 treats the top item of the data stack as raw bytes and replaces it +// with sha1(data). +// +// Stack transformation: [... x1] -> [... sha1(x1)] +func opcodeSha1(op *ParsedOpcode, vm *Engine) error { + buf, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + hash := sha1.Sum(buf) + vm.dstack.PushByteArray(hash[:]) + return nil +} + +// opcodeBlake256 treats the top item of the data stack as raw bytes and +// replaces it with blake256(data). +// +// Stack transformation: [... x1] -> [... blake256(x1)] +func opcodeBlake256(op *ParsedOpcode, vm *Engine) error { + buf, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + h := hash.DoubleHashB(buf) + vm.dstack.PushByteArray(h[:]) + return nil +} + +// opcodeSha256 treats the top item of the data stack as raw bytes and replaces +// it with sha256(data). +// +// Stack transformation: [... x1] -> [... sha256(x1)] +func opcodeSha256(op *ParsedOpcode, vm *Engine) error { + // Treat the opcode as OP_UNKNOWN192 if the flag to interpret it as the + // SHA256 opcode is not set. + if !vm.hasFlag(ScriptVerifySHA256) { + if vm.hasFlag(ScriptDiscourageUpgradableNops) { + return errors.New("OP_UNKNOWN192 reserved for upgrades") + } + return nil + } + + buf, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + hash := sha256.Sum256(buf) + vm.dstack.PushByteArray(hash[:]) + return nil +} + +// opcodeHash160 treats the top item of the data stack as raw bytes and replaces +// it with ripemd160(blake256(data)). +// +// Stack transformation: [... x1] -> [... ripemd160(blake256(x1))] +func opcodeHash160(op *ParsedOpcode, vm *Engine) error { + buf, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + h := hash.HashB(buf) + // TODO, remove hard coding + if vm.scriptTx != nil && vm.scriptTx.GetType() == types.BtcScriptTx { + h = btc.HashB(buf) + } + vm.dstack.PushByteArray(calcHash(h[:], ripemd160.New())) + return nil +} + +// opcodeHash256 treats the top item of the data stack as raw bytes and replaces +// it with blake256(blake256(data)). +// +// Stack transformation: [... x1] -> [... blake256(blake256(x1))] +func opcodeHash256(op *ParsedOpcode, vm *Engine) error { + buf, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + vm.dstack.PushByteArray(hash.HashB(hash.HashB(buf))) + return nil +} + +// opcodeCheckSig treats the top 2 items on the stack as a public key and a +// signature and replaces them with a bool which indicates if the signature was +// successfully verified. +// +// The process of verifying a signature requires calculating a signature hash in +// the same way the transaction signer did. It involves hashing portions of the +// transaction based on the hash type byte (which is the final byte of the +// signature) and the portion of the script starting from the most recent +// OP_CODESEPARATOR (or the beginning of the script if there are none) to the +// end of the script (with any other OP_CODESEPARATORs removed). Once this +// "script hash" is calculated, the signature is checked using standard +// cryptographic methods against the provided public key. +// +// Stack transformation: [... signature pubkey] -> [... bool] +func opcodeCheckSig(op *ParsedOpcode, vm *Engine) error { + pkBytes, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + fullSigBytes, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + // The signature actually needs needs to be longer than this, but at + // least 1 byte is needed for the hash type below. The full length is + // checked depending on the script flags and upon parsing the signature. + if len(fullSigBytes) < 1 { + vm.dstack.PushBool(false) + return nil + } + + // Trim off hashtype from the signature string and check if the + // signature and pubkey conform to the strict encoding requirements + // depending on the flags. + // + // NOTE: When the strict encoding flags are set, any errors in the + // signature or public encoding here result in an immediate script error + // (and thus no result bool is pushed to the data stack). This differs + // from the logic below where any errors in parsing the signature is + // treated as the signature failure resulting in false being pushed to + // the data stack. This is required because the more general script + // validation consensus rules do not have the new strict encoding + // requirements enabled by the flags. + hashType := SigHashType(fullSigBytes[len(fullSigBytes)-1]) + sigBytes := fullSigBytes[:len(fullSigBytes)-1] + if err := vm.checkHashTypeEncoding(hashType); err != nil { + return err + } + if err := vm.checkSignatureEncoding(sigBytes); err != nil { + return err + } + if err := vm.checkPubKeyEncoding(pkBytes); err != nil { + return err + } + + // Get script starting from the most recent OP_CODESEPARATOR. + subScript := vm.subScript() + + // Remove the signature since there is no way for a signature to sign + // itself. + subScript = removeOpcodeByData(subScript, fullSigBytes) + + // Generate the signature hash based on the signature hash type. + var prefixHash *hash.Hash + if hashType&sigHashMask == SigHashAll { + if optimizeSigVerification { + prefixHash = vm.tx.CachedTxHash() + } + } + // TODO, remove the hardcoded BTC handing + var h []byte + if vm.scriptTx != nil && vm.scriptTx.GetType() == types.BtcScriptTx { + log.Debug("btc script not support") + vm.dstack.PushBool(false) + return nil + } else { + h, err = calcSignatureHash(subScript, hashType, &vm.tx, vm.txIdx, + prefixHash) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + } + + pubKey, err := ecc.Secp256k1.ParsePubKey(pkBytes) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + + var signature ecc.Signature + if vm.hasFlag(ScriptVerifyStrictEncoding) || + vm.hasFlag(ScriptVerifyDERSignatures) { + signature, err = ecc.Secp256k1.ParseDERSignature(sigBytes) + } else { + signature, err = ecc.Secp256k1.ParseSignature(sigBytes) + } + if err != nil { + vm.dstack.PushBool(false) + return nil + } + + var valid bool + if vm.sigCache != nil { + var sigHash hash.Hash + copy(sigHash[:], h) + + valid = vm.sigCache.Exists(sigHash, signature, pubKey) + if !valid && ecc.Secp256k1.Verify(pubKey, h, + signature.GetR(), signature.GetS()) { + + vm.sigCache.Add(sigHash, signature, pubKey) + valid = true + } + } else { + valid = ecc.Secp256k1.Verify(pubKey, h, signature.GetR(), + signature.GetS()) + } + + vm.dstack.PushBool(valid) + return nil +} + +// opcodeCheckSigVerify is a combination of opcodeCheckSig and opcodeVerify. +// The opcodeCheckSig function is invoked followed by opcodeVerify. See the +// documentation for each of those opcodes for more details. +// +// Stack transformation: signature pubkey] -> [... bool] -> [...] +func opcodeCheckSigVerify(op *ParsedOpcode, vm *Engine) error { + err := opcodeCheckSig(op, vm) + if err == nil { + err = opcodeVerify(op, vm) + } + return err +} + +// parsedSigInfo houses a raw signature along with its parsed form and a flag +// for whether or not it has already been parsed. It is used to prevent parsing +// the same signature multiple times when verifying a multisig. +type parsedSigInfo struct { + signature []byte + parsedSignature ecc.Signature + parsed bool +} + +// opcodeCheckMultiSig treats the top item on the stack as an integer number of +// public keys, followed by that many entries as raw data representing the public +// keys, followed by the integer number of signatures, followed by that many +// entries as raw data representing the signatures. +// +// All of the aforementioned stack items are replaced with a bool which +// indicates if the requisite number of signatures were successfully verified. +// +// See the opcodeCheckSigVerify documentation for more details about the process +// for verifying each signature. +// +// Stack transformation: +// [... dummy [sig ...] numsigs [pubkey ...] numpubkeys] -> [... bool] +func opcodeCheckMultiSig(op *ParsedOpcode, vm *Engine) error { + numKeys, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + + numPubKeys := int(numKeys.Int32()) + if numPubKeys < 0 || numPubKeys > MaxPubKeysPerMultiSig { + return ErrStackTooManyPubKeys + } + vm.numOps += numPubKeys + if vm.numOps > MaxOpsPerScript { + return ErrStackTooManyOperations + } + + pubKeys := make([][]byte, 0, numPubKeys) + for i := 0; i < numPubKeys; i++ { + pubKey, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + pubKeys = append(pubKeys, pubKey) + } + + numSigs, err := vm.dstack.PopInt(mathOpCodeMaxScriptNumLen) + if err != nil { + return err + } + numSignatures := int(numSigs.Int32()) + if numSignatures < 0 { + return fmt.Errorf("number of signatures '%d' is less than 0", + numSignatures) + } + if numSignatures > numPubKeys { + return fmt.Errorf("more signatures than pubkeys: %d > %d", + numSignatures, numPubKeys) + } + + signatures := make([]*parsedSigInfo, 0, numSignatures) + for i := 0; i < numSignatures; i++ { + signature, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + sigInfo := &parsedSigInfo{signature: signature} + signatures = append(signatures, sigInfo) + } + + // Get script starting from the most recent OP_CODESEPARATOR. + script := vm.subScript() + + // Remove any of the signatures since there is no way for a signature to + // sign itself. + for _, sigInfo := range signatures { + script = removeOpcodeByData(script, sigInfo.signature) + } + + success := true + numPubKeys++ + pubKeyIdx := -1 + signatureIdx := 0 + for numSignatures > 0 { + // When there are more signatures than public keys remaining, + // there is no way to succeed since too many signatures are + // invalid, so exit early. + pubKeyIdx++ + numPubKeys-- + if numSignatures > numPubKeys { + success = false + break + } + + sigInfo := signatures[signatureIdx] + pubKey := pubKeys[pubKeyIdx] + + // The order of the signature and public key evaluation is + // important here since it can be distinguished by an + // OP_CHECKMULTISIG NOT when the strict encoding flag is set. + + rawSig := sigInfo.signature + if len(rawSig) == 0 { + // Skip to the next pubkey if signature is empty. + continue + } + + // Split the signature into hash type and signature components. + hashType := SigHashType(rawSig[len(rawSig)-1]) + signature := rawSig[:len(rawSig)-1] + + // Only parse and check the signature encoding once. + var parsedSig ecc.Signature + if !sigInfo.parsed { + if err := vm.checkHashTypeEncoding(hashType); err != nil { + return err + } + if err := vm.checkSignatureEncoding(signature); err != nil { + return err + } + + // Parse the signature. + var err error + if vm.hasFlag(ScriptVerifyStrictEncoding) || + vm.hasFlag(ScriptVerifyDERSignatures) { + + parsedSig, err = ecc.Secp256k1.ParseDERSignature(signature) + } else { + parsedSig, err = ecc.Secp256k1.ParseSignature(signature) + } + sigInfo.parsed = true + if err != nil { + continue + } + sigInfo.parsedSignature = parsedSig + } else { + // Skip to the next pubkey if the signature is invalid. + if sigInfo.parsedSignature == nil { + continue + } + + // Use the already parsed signature. + parsedSig = sigInfo.parsedSignature + } + + if err := vm.checkPubKeyEncoding(pubKey); err != nil { + return err + } + + // Parse the pubkey. + parsedPubKey, err := ecc.Secp256k1.ParsePubKey(pubKey) + if err != nil { + continue + } + + // Generate the signature hash based on the signature hash type. + var prefixHash *hash.Hash + if hashType&sigHashMask == SigHashAll { + if optimizeSigVerification { + ph := vm.tx.CachedTxHash() + prefixHash = ph + } + } + h, err := calcSignatureHash(script, hashType, &vm.tx, vm.txIdx, + prefixHash) + if err != nil { + return err + } + + var valid bool + if vm.sigCache != nil { + var sigHash hash.Hash + copy(sigHash[:], h) + + valid = vm.sigCache.Exists(sigHash, parsedSig, parsedPubKey) + if !valid && ecc.Secp256k1.Verify(parsedPubKey, h, + parsedSig.GetR(), parsedSig.GetS()) { + + vm.sigCache.Add(sigHash, parsedSig, parsedPubKey) + valid = true + } + } else { + valid = ecc.Secp256k1.Verify(parsedPubKey, h, + parsedSig.GetR(), parsedSig.GetS()) + } + + if valid { + // PubKey verified, move on to the next signature. + signatureIdx++ + numSignatures-- + } + } + + vm.dstack.PushBool(success) + return nil +} + +// opcodeCheckMultiSigVerify is a combination of opcodeCheckMultiSig and +// opcodeVerify. The opcodeCheckMultiSig is invoked followed by opcodeVerify. +// See the documentation for each of those opcodes for more details. +// +// Stack transformation: +// [... dummy [sig ...] numsigs [pubkey ...] numpubkeys] -> [... bool] -> [...] +func opcodeCheckMultiSigVerify(op *ParsedOpcode, vm *Engine) error { + err := opcodeCheckMultiSig(op, vm) + if err == nil { + err = opcodeVerify(op, vm) + } + return err +} + +// ECDSA signature schemes encoded as a single byte. Secp256k1 traditional +// is non-accessible through CheckSigAlt, but is used elsewhere for in the +// sign function to indicate the type of signature to generate. +type sigTypes ecc.EcType + +var edwards = sigTypes(ecc.EdDSA_Ed25519) +var secSchnorr = sigTypes(ecc.ECDSA_SecpSchnorr) + +// opcodeCheckSigAlt accepts a three item stack and pops off the first three +// items. The first item is a signature type (1-255, can not be zero or the +// soft fork will fail). Any unused signature types return true, so that future +// alternative signature methods may be added. The second item popped off the +// stack is the public key; wrong size pubkeys return false. The third item to +// be popped off the stack is the signature along with the hash type at the +// end; wrong sized signatures also return false. +// Failing to parse a pubkey or signature results in false. +// After parsing, the signature and pubkey are verified against the message +// (the hash of this transaction and its input). +func opcodeCheckSigAlt(op *ParsedOpcode, vm *Engine) error { + sigType, err := vm.dstack.PopInt(altSigSuitesMaxscriptNumLen) + if err != nil { + return err + } + + switch sigTypes(sigType) { + case sigTypes(0): + // Zero case; pre-softfork clients will return 0 in this case as well. + vm.dstack.PushBool(false) + return nil + case edwards: + break + case secSchnorr: + break + default: + // Caveat: All unknown signature types return true, allowing for future + // softforks with other new signature types. + vm.dstack.PushBool(true) + return nil + } + + pkBytes, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + // Check the public key lengths. Only 33-byte compressed secp256k1 keys + // are allowed for secp256k1 Schnorr signatures, which 32 byte keys + // are used for Curve25519. + switch sigTypes(sigType) { + case edwards: + if len(pkBytes) != 32 { + vm.dstack.PushBool(false) + return nil + } + case secSchnorr: + if len(pkBytes) != 33 { + vm.dstack.PushBool(false) + return nil + } + } + + fullSigBytes, err := vm.dstack.PopByteArray() + if err != nil { + return err + } + + // Schnorr signatures are 65 bytes in length (64 bytes for [r,s] and + // 1 byte appened to the end for hashType). + switch sigTypes(sigType) { + case edwards: + if len(fullSigBytes) != 65 { + vm.dstack.PushBool(false) + return nil + } + case secSchnorr: + if len(fullSigBytes) != 65 { + vm.dstack.PushBool(false) + return nil + } + } + + // Trim off hashtype from the signature string and check if the + // signature and pubkey conform to the strict encoding requirements + // depending on the flags. + // + // NOTE: When the strict encoding flags are set, any errors in the + // signature or public encoding here result in an immediate script error + // (and thus no result bool is pushed to the data stack). This differs + // from the logic below where any errors in parsing the signature is + // treated as the signature failure resulting in false being pushed to + // the data stack. This is required because the more general script + // validation consensus rules do not have the new strict encoding + // requirements enabled by the flags. + hashType := SigHashType(fullSigBytes[len(fullSigBytes)-1]) + sigBytes := fullSigBytes[:len(fullSigBytes)-1] + if err := vm.checkHashTypeEncoding(hashType); err != nil { + return err + } + + // Get the subscript. + subScript := vm.subScript() + + // Remove the signature since there is no way for a signature to sign + // itself. + subScript = removeOpcodeByData(subScript, fullSigBytes) + + // Generate the signature hash based on the signature hash type. + var prefixHash *hash.Hash + if hashType&sigHashMask == SigHashAll { + if optimizeSigVerification { + ph := vm.tx.CachedTxHash() + prefixHash = ph + } + } + hash, err := calcSignatureHash(subScript, hashType, &vm.tx, vm.txIdx, + prefixHash) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + + // Get the public key from bytes. + var pubKey ecc.PublicKey + switch sigTypes(sigType) { + case edwards: + pubKeyEd, err := ecc.Ed25519.ParsePubKey(pkBytes) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + pubKey = pubKeyEd + case secSchnorr: + pubKeySec, err := ecc.SecSchnorr.ParsePubKey(pkBytes) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + pubKey = pubKeySec + } + + // Get the signature from bytes. + var signature ecc.Signature + switch sigTypes(sigType) { + case edwards: + sigEd, err := ecc.Ed25519.ParseSignature(sigBytes) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + signature = sigEd + case secSchnorr: + sigSec, err := ecc.SecSchnorr.ParseSignature(sigBytes) + if err != nil { + vm.dstack.PushBool(false) + return nil + } + signature = sigSec + default: + vm.dstack.PushBool(false) + return nil + } + + // Attempt to validate the signature. + switch sigTypes(sigType) { + case edwards: + ok := ecc.Ed25519.Verify(pubKey, hash, signature.GetR(), + signature.GetS()) + vm.dstack.PushBool(ok) + return nil + case secSchnorr: + ok := ecc.SecSchnorr.Verify(pubKey, hash, signature.GetR(), + signature.GetS()) + vm.dstack.PushBool(ok) + return nil + } + + // Fallthrough of somekind automatically results in false, but + // this should never be hit. + vm.dstack.PushBool(false) + return nil +} + +// opcodeCheckSigAltVerify is a combination of opcodeCheckSigAlt and +// opcodeVerify. The opcodeCheckSigAlt is invoked followed by opcodeVerify. +func opcodeCheckSigAltVerify(op *ParsedOpcode, vm *Engine) error { + err := opcodeCheckSigAlt(op, vm) + if err == nil { + err = opcodeVerify(op, vm) + } + return err +} + +func opcodeCheckTokenVerify(op *ParsedOpcode, vm *Engine) error { + return nil +} + +// OpcodeByName is a map that can be used to lookup an opcode by its +// human-readable name (OP_CHECKMULTISIG, OP_CHECKSIG, etc). +var OpcodeByName = make(map[string]byte) + +func init() { + // Initialize the opcode name to value map using the contents of the + // opcode array. Also add entries for "OP_FALSE", "OP_TRUE", and + // "OP_NOP2" since they are aliases for "OP_0", "OP_1", + // and "OP_CHECKLOCKTIMEVERIFY" respectively. + for _, op := range opcodeArray { + OpcodeByName[op.name] = op.value + } + OpcodeByName["OP_FALSE"] = OP_FALSE + OpcodeByName["OP_TRUE"] = OP_TRUE + OpcodeByName["OP_NOP2"] = OP_CHECKLOCKTIMEVERIFY + OpcodeByName["OP_NOP3"] = OP_CHECKSEQUENCEVERIFY +} diff --git a/engine/txscript/pkscript.go b/engine/txscript/pkscript.go new file mode 100644 index 0000000..b3936dc --- /dev/null +++ b/engine/txscript/pkscript.go @@ -0,0 +1,133 @@ +package txscript + +import ( + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/params" +) + +// PkScript is a wrapper struct around a byte array, allowing it to be used +// as a map index. +type PkScript struct { + // class is the type of the script encoded within the byte array. This + // is used to determine the correct length of the script within the byte + // array. + class ScriptClass + + // script is the script contained within a byte array. If the script is + // smaller than the length of the byte array, it will be padded with 0s + // at the end. + script [maxLen]byte +} + +// Class returns the script type. +func (s PkScript) Class() ScriptClass { + return s.class +} + +// Script returns the script as a byte slice without any padding. +func (s PkScript) Script() []byte { + var script []byte + + switch s.class { + case PubKeyHashTy: + script = make([]byte, pubKeyHashLen) + copy(script, s.script[:pubKeyHashLen]) + + case ScriptHashTy: + script = make([]byte, scriptHashLen) + copy(script, s.script[:scriptHashLen]) + + default: + // Unsupported script type. + return nil + } + + return script +} + +// Address encodes the script into an address for the given chain. +func (s PkScript) Address(chainParams *params.Params) (types.Address, error) { + _, addrs, _, err := ExtractPkScriptAddrs(s.Script(), chainParams) + if err != nil { + return nil, fmt.Errorf("unable to parse address: %v", err) + } + + return addrs[0], nil +} + +// String returns a hex-encoded string representation of the script. +func (s PkScript) String() string { + str, _ := DisasmString(s.Script()) + return str +} + +// ComputePkScript computes the script of an output by looking at the spending +// +// NOTE: Only P2PKH, P2SH redeem scripts are supported. +func ComputePkScript(sigScript []byte) (PkScript, error) { + switch { + case len(sigScript) > 0: + return computeStandardPkScript(sigScript) + default: + return PkScript{}, ErrUnsupportedScriptType + } +} + +// computeStandardPkScript computes the script of an output by looking at the +// spending input's signature script. +func computeStandardPkScript(sigScript []byte) (PkScript, error) { + switch { + // script types, we should expect to see a push only script. + case !IsPushOnlyScript(sigScript): + return PkScript{}, ErrUnsupportedScriptType + + // If a signature script is provided with a length long enough to + // represent a P2PKH script, then we'll attempt to parse the compressed + // public key from it. + case len(sigScript) >= minPubKeyHashSigScriptLen && + len(sigScript) <= maxPubKeyHashSigScriptLen: + + // The public key should be found as the last part of the + // signature script. We'll attempt to parse it to ensure this is + // a P2PKH redeem script. + pubKey := sigScript[len(sigScript)-compressedPubKeyLen:] + if IsStrictCompressedPubKeyEncoding(pubKey) { + pubKeyHash := hash.Hash160(pubKey) + script, err := payToPubKeyHashScript(pubKeyHash) + if err != nil { + return PkScript{}, err + } + + pkScript := PkScript{class: PubKeyHashTy} + copy(pkScript.script[:], script) + return pkScript, nil + } + + fallthrough + + // If we failed to parse a compressed public key from the script in the + // case above, or if the script length is not that of a P2PKH one, we + // can assume it's a P2SH signature script. + default: + // The redeem script will always be the last data push of the + // signature script, so we'll parse the script into opcodes to + // obtain it. + parsedOpcodes, err := parseScript(sigScript) + if err != nil { + return PkScript{}, err + } + redeemScript := parsedOpcodes[len(parsedOpcodes)-1].data + + scriptHash := hash.Hash160(redeemScript) + script, err := payToScriptHashScript(scriptHash) + if err != nil { + return PkScript{}, err + } + + pkScript := PkScript{class: ScriptHashTy} + copy(pkScript.script[:], script) + return pkScript, nil + } +} diff --git a/engine/txscript/pkscript_test.go b/engine/txscript/pkscript_test.go new file mode 100644 index 0000000..ef64207 --- /dev/null +++ b/engine/txscript/pkscript_test.go @@ -0,0 +1,141 @@ +package txscript + +import ( + "bytes" + "testing" +) + +// TestComputePkScript ensures that we can correctly re-derive an output's +// pkScript by looking at the input's signature script/witness attempting to +// spend it. +func TestComputePkScript(t *testing.T) { + t.Parallel() + + tests := []struct { + name string + sigScript []byte + class ScriptClass + pkScript []byte + }{ + { + name: "empty sigScript and witness", + sigScript: nil, + class: NonStandardTy, + pkScript: nil, + }, + { + name: "P2PKH sigScript", + sigScript: []byte{ + // OP_DATA_73, + 0x49, + // <73-byte sig> + 0x30, 0x44, 0x02, 0x20, 0x65, 0x92, 0xd8, 0x8e, + 0x1d, 0x0a, 0x4a, 0x3c, 0xc5, 0x9f, 0x92, 0xae, + 0xfe, 0x62, 0x54, 0x74, 0xa9, 0x4d, 0x13, 0xa5, + 0x9f, 0x84, 0x97, 0x78, 0xfc, 0xe7, 0xdf, 0x4b, + 0xe0, 0xc2, 0x28, 0xd8, 0x02, 0x20, 0x2d, 0xea, + 0x36, 0x96, 0x19, 0x1f, 0xb7, 0x00, 0xc5, 0xa7, + 0x7e, 0x22, 0xd9, 0xfb, 0x6b, 0x42, 0x67, 0x42, + 0xa4, 0x2c, 0xac, 0xdb, 0x74, 0xa2, 0x7c, 0x43, + 0xcd, 0x89, 0xa0, 0xf9, 0x44, 0x54, 0x12, 0x74, + 0x01, + // OP_DATA_33 + 0x21, + // <33-byte compressed pubkey> + 0x02, 0x7d, 0x56, 0x12, 0x09, 0x75, 0x31, 0xc2, + 0x17, 0xfd, 0xd4, 0xd2, 0xe1, 0x7a, 0x35, 0x4b, + 0x17, 0xf2, 0x7a, 0xef, 0x30, 0x9f, 0xb2, 0x7f, + 0x1f, 0x1f, 0x7b, 0x73, 0x7d, 0x9a, 0x24, 0x49, + 0x90, + }, + class: PubKeyHashTy, + pkScript: []byte{ + // OP_DUP + 0x76, + // OP_HASH160 + 0xa9, + // OP_DATA_20 + 0x14, + // <20-byte pubkey hash> + 0x67, 0x8a, 0x56, 0x45, 0xcc, 0x5c, 0x5d, 0x1b, + 0x13, 0x67, 0x69, 0xd0, 0x37, 0xad, 0xd2, 0x2f, + 0x9e, 0x7d, 0x9, 0x82, + // OP_EQUALVERIFY + 0x88, + // OP_CHECKSIG + 0xac, + }, + }, + { + name: "P2SH sigScript", + sigScript: []byte{ + 0x00, 0x49, 0x30, 0x46, 0x02, 0x21, 0x00, 0xda, + 0xe6, 0xb6, 0x14, 0x1b, 0xa7, 0x24, 0x4f, 0x54, + 0x62, 0xb6, 0x2a, 0x3b, 0x27, 0x59, 0xde, 0xe4, + 0x46, 0x76, 0x19, 0x4e, 0x6c, 0x56, 0x8d, 0x5b, + 0x1c, 0xda, 0x96, 0x2d, 0x4f, 0x6d, 0x79, 0x02, + 0x21, 0x00, 0xa6, 0x6f, 0x60, 0x34, 0x46, 0x09, + 0x0a, 0x22, 0x3c, 0xec, 0x30, 0x33, 0xd9, 0x86, + 0x24, 0xd2, 0x73, 0xa8, 0x91, 0x55, 0xa5, 0xe6, + 0x96, 0x66, 0x0b, 0x6a, 0x50, 0xa3, 0x46, 0x45, + 0xbb, 0x67, 0x01, 0x48, 0x30, 0x45, 0x02, 0x21, + 0x00, 0xe2, 0x73, 0x49, 0xdb, 0x93, 0x82, 0xe1, + 0xf8, 0x8d, 0xae, 0x97, 0x5c, 0x71, 0x19, 0xb7, + 0x79, 0xb6, 0xda, 0x43, 0xa8, 0x4f, 0x16, 0x05, + 0x87, 0x11, 0x9f, 0xe8, 0x12, 0x1d, 0x85, 0xae, + 0xee, 0x02, 0x20, 0x6f, 0x23, 0x2d, 0x0a, 0x7b, + 0x4b, 0xfa, 0xcd, 0x56, 0xa0, 0x72, 0xcc, 0x2a, + 0x44, 0x81, 0x31, 0xd1, 0x0d, 0x73, 0x35, 0xf9, + 0xa7, 0x54, 0x8b, 0xee, 0x1f, 0x70, 0xc5, 0x71, + 0x0b, 0x37, 0x9e, 0x01, 0x47, 0x52, 0x21, 0x03, + 0xab, 0x11, 0x5d, 0xa6, 0xdf, 0x4f, 0x54, 0x0b, + 0xd6, 0xc9, 0xc4, 0xbe, 0x5f, 0xdd, 0xcc, 0x24, + 0x58, 0x8e, 0x7c, 0x2c, 0xaf, 0x13, 0x82, 0x28, + 0xdd, 0x0f, 0xce, 0x29, 0xfd, 0x65, 0xb8, 0x7c, + 0x21, 0x02, 0x15, 0xe8, 0xb7, 0xbf, 0xfe, 0x8d, + 0x9b, 0xbd, 0x45, 0x81, 0xf9, 0xc3, 0xb6, 0xf1, + 0x6d, 0x67, 0x08, 0x36, 0xc3, 0x0b, 0xb2, 0xe0, + 0x3e, 0xfd, 0x9d, 0x41, 0x03, 0xb5, 0x59, 0xeb, + 0x67, 0xcd, 0x52, 0xae, + }, + class: ScriptHashTy, + pkScript: []byte{ + // OP_HASH160 + 0xA9, + // OP_DATA_20 + 0x14, + // <20-byte script hash> + 0x37, 0x27, 0xef, 0x45, 0xa, 0xbe, 0xa2, 0x38, + 0x90, 0xc6, 0x5b, 0xad, 0x45, 0x92, 0x5a, 0xf4, + 0xdf, 0xe9, 0xc5, 0xfa, + // OP_EQUAL + 0x87, + }, + }, + } + + for _, test := range tests { + t.Run(test.name, func(t *testing.T) { + valid := test.pkScript != nil + pkScript, err := ComputePkScript( + test.sigScript, + ) + if err != nil && valid { + t.Fatalf("unable to compute pkScript: %v", err) + } + + if !valid { + return + } + + if pkScript.Class() != test.class { + t.Fatalf("expected pkScript of type %v, got %v", + test.class, pkScript.Class()) + } + if !bytes.Equal(pkScript.Script(), test.pkScript) { + t.Fatalf("expected pkScript=%x, got pkScript=%x", + test.pkScript, pkScript.Script()) + } + }) + } +} diff --git a/engine/txscript/script.go b/engine/txscript/script.go new file mode 100644 index 0000000..5b0eb90 --- /dev/null +++ b/engine/txscript/script.go @@ -0,0 +1,508 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2018 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "bytes" + "encoding/hex" + "errors" + "fmt" + "strconv" + "strings" +) + +// These are the constants specified for maximums in individual scripts. +const ( + MaxOpsPerScript = 255 // Max number of non-push operations. + MaxPubKeysPerMultiSig = 20 // Multisig can't have more sigs than this. + MaxScriptElementSize = 2048 // Max bytes pushable to the stack. + + // pubKeyHashLen is the length of a P2PKH script. + pubKeyHashLen = 25 + + // scriptHashLen is the length of a P2SH script. + scriptHashLen = 23 + + // maxLen is the maximum script length supported by ParsePkScript. + maxLen = 34 + + // minPubKeyHashSigScriptLen is the minimum length of a signature script + // that spends a P2PKH output. The length is composed of the following: + // Signature length (1 byte) + // Signature (min 8 bytes) + // Signature hash type (1 byte) + // Public key length (1 byte) + // Public key (33 byte) + minPubKeyHashSigScriptLen = 1 + 8 + 1 + 1 + 33 + + // maxPubKeyHashSigScriptLen is the maximum length of a signature script + // that spends a P2PKH output. The length is composed of the following: + // Signature length (1 byte) + // Signature (max 72 bytes) + // Signature hash type (1 byte) + // Public key length (1 byte) + // Public key (33 byte) + maxPubKeyHashSigScriptLen = 1 + 72 + 1 + 1 + 33 + + // compressedPubKeyLen is the length in bytes of a compressed public + // key. + compressedPubKeyLen = 33 +) + +var ( + // ErrUnsupportedScriptType is an error returned when we attempt to + // parse/re-compute an output script into a PkScript struct. + ErrUnsupportedScriptType = errors.New("unsupported script type") +) + +// isSmallInt returns whether or not the opcode is considered a small integer, +// which is an OP_0, or OP_1 through OP_16. +func isSmallInt(op *Opcode) bool { + if op.value == OP_0 || (op.value >= OP_1 && op.value <= OP_16) { + return true + } + return false +} + +// IsPayToScriptHash returns true if the script is in the standard +// pay-to-script-hash (P2SH) format, false otherwise. +func IsPayToScriptHash(script []byte) bool { + pops, err := parseScript(script) + if err != nil { + return false + } + return isScriptHash(pops) +} + +// extractPubKeyHash extracts the public key hash from the passed script if it +// is a standard pay-to-pubkey-hash script. It will return nil otherwise. +func extractPubKeyHash(script []byte) []byte { + // A pay-to-pubkey-hash script is of the form: + // OP_DUP OP_HASH160 <20-byte hash> OP_EQUALVERIFY OP_CHECKSIG + if len(script) == 25 && + script[0] == OP_DUP && + script[1] == OP_HASH160 && + script[2] == OP_DATA_20 && + script[23] == OP_EQUALVERIFY && + script[24] == OP_CHECKSIG { + + return script[3:23] + } + + return nil +} + +// IsPubKeyHashScript returns whether or not the passed script is a standard +// pay-to-pubkey-hash script. +func IsPubKeyHashScript(script []byte) bool { + return extractPubKeyHash(script) != nil +} + +func PkStringToScript(pk string) ([]byte, error) { + builder := NewScriptBuilder() + pk = strings.Replace(pk, "\n", " ", -1) + pk = strings.Replace(pk, "\t", " ", -1) + arr := strings.Split(pk, " ") + for i := 0; i < len(arr); i++ { + tok := arr[i] + if len(tok) == 0 { + continue + } + + // if parses as a plain number + if num, err := strconv.ParseInt(tok, 10, 64); err == nil { + builder.AddInt64(num) + continue + } else if bts, err := hex.DecodeString(tok); err == nil { + // Concatenate the bytes manually since the test code + // intentionally creates scripts that are too large and + // would cause the builder to error otherwise. + if builder.err == nil { + builder.AddData(bts) + } + } else if len(tok) >= 2 && + tok[0] == '\'' && tok[len(tok)-1] == '\'' { + builder.AddFullData([]byte(tok[1 : len(tok)-1])) + } else if opcode, err := findOpcodeFromString(tok); err == nil { + builder.AddOp(opcode.value) + } else { + return nil, fmt.Errorf("bad token %q", tok) + } + } + return builder.Script() +} + +func findOpcodeFromString(pkcode string) (Opcode, error) { + for _, v := range opcodeArray { + if v.name == pkcode { + return v, nil + } + } + return Opcode{}, errors.New("not opcode string") +} + +// IsStrictCompressedPubKeyEncoding returns whether or not the passed public +// key adheres to the strict compressed encoding requirements. +func IsStrictCompressedPubKeyEncoding(pubKey []byte) bool { + if len(pubKey) == 33 && (pubKey[0] == 0x02 || pubKey[0] == 0x03) { + // Compressed + return true + } + return false +} + +// isPushOnly returns true if the script only pushes data, false otherwise. +func isPushOnly(pops []ParsedOpcode) bool { + // NOTE: This function does NOT verify opcodes directly since it is + // internal and is only called with parsed opcodes for scripts that did + // not have any parse errors. Thus, consensus is properly maintained. + + for _, pop := range pops { + // All opcodes up to OP_16 are data push instructions. + // NOTE: This does consider OP_RESERVED to be a data push + // instruction, but execution of OP_RESERVED will fail anyways + // and matches the behavior required by consensus. + if pop.opcode.value > OP_16 { + return false + } + } + return true +} + +// IsPushOnlyScript returns whether or not the passed script only pushes data. +// +// False will be returned when the script does not parse. +func IsPushOnlyScript(script []byte) bool { + pops, err := parseScript(script) + if err != nil { + return false + } + return isPushOnly(pops) +} + +// HasP2SHScriptSigStakeOpCodes returns an error is the p2sh script has either +// stake opcodes or if the pkscript cannot be retrieved. +func HasP2SHScriptSigStakeOpCodes(version uint16, scriptSig, + scriptPubKey []byte) error { + class := GetScriptClass(version, scriptPubKey) + if IsStakeOutput(scriptPubKey) { + class, _ = GetStakeOutSubclass(scriptPubKey) + } + if class == ScriptHashTy { + // Obtain the embedded pkScript from the scriptSig of the + // current transaction. Then, ensure that it does not use + // any stake tagging OP codes. + pData, err := PushedData(scriptSig) + if err != nil { + return fmt.Errorf("error retrieving pushed data "+ + "from script: %v", err) + } + if len(pData) == 0 { + return fmt.Errorf("script has no pushed data") + } + + // The pay-to-hash-script is the final data push of the + // signature script. + shScript := pData[len(pData)-1] + + hasStakeOpCodes, err := ContainsStakeOpCodes(shScript) + if err != nil { + return fmt.Errorf("unexpected error checking pkscript "+ + "from p2sh transaction: %v", err.Error()) + } + if hasStakeOpCodes { + return ErrP2SHStakeOpCodes + } + } + + return nil +} + +// parseScriptTemplate is the same as parseScript but allows the passing of the +// template list for testing purposes. When there are parse errors, it returns +// the list of parsed opcodes up to the point of failure along with the error. +func parseScriptTemplate(script []byte, opcodes *[256]Opcode) ([]ParsedOpcode, + error) { + //log.Trace("Parsing script","script",fmt.Sprintf("%x",script)) + retScript := make([]ParsedOpcode, 0, len(script)) + for i := 0; i < len(script); { + instr := script[i] + op := &opcodes[instr] + pop := ParsedOpcode{opcode: op} + + // Parse data out of instruction. + switch { + // No additional data. Note that some of the opcodes, notably + // OP_1NEGATE, OP_0, and OP_[1-16] represent the data + // themselves. + case op.length == 1: + i++ + + // Data pushes of specific lengths -- OP_DATA_[1-75]. + case op.length > 1: + if len(script[i:]) < op.length { + return retScript, ErrStackShortScript + } + + // Slice out the data. + pop.data = script[i+1 : i+op.length] + i += op.length + + // Data pushes with parsed lengths -- OP_PUSHDATAP{1,2,4}. + case op.length < 0: + var l uint + off := i + 1 + + if len(script[off:]) < -op.length { + return retScript, ErrStackShortScript + } + + // Next -length bytes are little endian length of data. + switch op.length { + case -1: + l = uint(script[off]) + case -2: + l = ((uint(script[off+1]) << 8) | + uint(script[off])) + case -4: + l = ((uint(script[off+3]) << 24) | + (uint(script[off+2]) << 16) | + (uint(script[off+1]) << 8) | + uint(script[off])) + default: + return retScript, + fmt.Errorf("invalid opcode length %d", + op.length) + } + + // Move offset to beginning of the data. + off += -op.length + + // Disallow entries that do not fit script or were + // sign extended. + if int(l) > len(script[off:]) || int(l) < 0 { + return retScript, ErrStackShortScript + } + + pop.data = script[off : off+int(l)] + i += 1 - op.length + int(l) + } + + retScript = append(retScript, pop) + } + //log.Trace("Parsing script","result",fmt.Sprintf("%x",retScript)) + return retScript, nil +} + +// parseScript preparses the script in bytes into a list of ParsedOpcodes while +// applying a number of sanity checks. +func parseScript(script []byte) ([]ParsedOpcode, error) { + return parseScriptTemplate(script, &opcodeArray) +} + +// unparseScript reversed the action of parseScript and returns the +// ParsedOpcodes as a list of bytes +func unparseScript(pops []ParsedOpcode) ([]byte, error) { + script := make([]byte, 0, len(pops)) + for _, pop := range pops { + b, err := pop.bytes() + if err != nil { + return nil, err + } + script = append(script, b...) + } + return script, nil +} + +// DisasmString formats a disassembled script for one line printing. When the +// script fails to parse, the returned string will contain the disassembled +// script up to the point the failure occurred along with the string '[error]' +// appended. In addition, the reason the script failed to parse is returned +// if the caller wants more information about the failure. +func DisasmString(buf []byte) (string, error) { + var disbuf bytes.Buffer + opcodes, err := parseScript(buf) + for _, pop := range opcodes { + disbuf.WriteString(pop.print(true)) + disbuf.WriteByte(' ') + } + if disbuf.Len() > 0 { + disbuf.Truncate(disbuf.Len() - 1) + } + if err != nil { + disbuf.WriteString("[error]") + } + return disbuf.String(), err +} + +// removeOpcode will remove any opcode matching ``opcode'' from the opcode +// stream in pkscript +func removeOpcode(pkscript []ParsedOpcode, opcode byte) []ParsedOpcode { + retScript := make([]ParsedOpcode, 0, len(pkscript)) + for _, pop := range pkscript { + if pop.opcode.value != opcode { + retScript = append(retScript, pop) + } + } + return retScript +} + +// canonicalPush returns true if the object is either not a push instruction +// or the push instruction contained wherein is matches the canonical form +// or using the smallest instruction to do the job. False otherwise. +func canonicalPush(pop ParsedOpcode) bool { + opcode := pop.opcode.value + data := pop.data + dataLen := len(pop.data) + if opcode > OP_16 { + return true + } + + if opcode < OP_PUSHDATA1 && opcode > OP_0 && (dataLen == 1 && data[0] <= 16) { + return false + } + if opcode == OP_PUSHDATA1 && dataLen < OP_PUSHDATA1 { + return false + } + if opcode == OP_PUSHDATA2 && dataLen <= 0xff { + return false + } + if opcode == OP_PUSHDATA4 && dataLen <= 0xffff { + return false + } + return true +} + +// removeOpcodeByData will return the script minus any opcodes that would push +// the passed data to the stack. +func removeOpcodeByData(pkscript []ParsedOpcode, data []byte) []ParsedOpcode { + retScript := make([]ParsedOpcode, 0, len(pkscript)) + for _, pop := range pkscript { + if !canonicalPush(pop) || !bytes.Contains(pop.data, data) { + retScript = append(retScript, pop) + } + } + return retScript + +} + +// asSmallInt returns the passed opcode, which must be true according to +// isSmallInt(), as an integer. +func asSmallInt(op *Opcode) int { + if op.value == OP_0 { + return 0 + } + + return int(op.value - (OP_1 - 1)) +} + +// getSigOpCount is the implementation function for counting the number of +// signature operations in the script provided by pops. If precise mode is +// requested then we attempt to count the number of operations for a multisig +// op. Otherwise we use the maximum. +func getSigOpCount(pops []ParsedOpcode, precise bool) int { + nSigs := 0 + for i, pop := range pops { + switch pop.opcode.value { + case OP_CHECKSIG: + fallthrough + case OP_CHECKSIGVERIFY: + fallthrough + case OP_CHECKSIGALT: + fallthrough + case OP_CHECKSIGALTVERIFY: + nSigs++ + case OP_CHECKMULTISIG: + fallthrough + case OP_CHECKMULTISIGVERIFY: + // If we are being precise then look for familiar + // patterns for multisig, for now all we recognize is + // OP_1 - OP_16 to signify the number of pubkeys. + // Otherwise, we use the max of 20. + if precise && i > 0 && + pops[i-1].opcode.value >= OP_1 && + pops[i-1].opcode.value <= OP_16 { + nSigs += asSmallInt(pops[i-1].opcode) + } else { + nSigs += MaxPubKeysPerMultiSig + } + default: + // Not a sigop. + } + } + + return nSigs +} + +// GetSigOpCount provides a quick count of the number of signature operations +// in a script. a CHECKSIG operations counts for 1, and a CHECK_MULTISIG for 20. +// If the script fails to parse, then the count up to the point of failure is +// returned. +func GetSigOpCount(script []byte) int { + // Don't check error since parseScript returns the parsed-up-to-error + // list of pops. + pops, _ := parseScript(script) + return getSigOpCount(pops, false) +} + +// GetPreciseSigOpCount returns the number of signature operations in +// scriptPubKey. If bip16 is true then scriptSig may be searched for the +// Pay-To-Script-Hash script in order to find the precise number of signature +// operations in the transaction. If the script fails to parse, then the count +// up to the point of failure is returned. +func GetPreciseSigOpCount(scriptSig, scriptPubKey []byte, bip16 bool) int { + // Don't check error since parseScript returns the parsed-up-to-error + // list of pops. + pops, _ := parseScript(scriptPubKey) + + // Treat non P2SH transactions as normal. + if !(bip16 && isScriptHash(pops)) { + return getSigOpCount(pops, true) + } + + // The public key script is a pay-to-script-hash, so parse the signature + // script to get the final item. Scripts that fail to fully parse count + // as 0 signature operations. + sigPops, err := parseScript(scriptSig) + if err != nil { + return 0 + } + + // The signature script must only push data to the stack for P2SH to be + // a valid pair, so the signature operation count is 0 when that is not + // the case. + if !isPushOnly(sigPops) || len(sigPops) == 0 { + return 0 + } + + // The P2SH script is the last item the signature script pushes to the + // stack. When the script is empty, there are no signature operations. + shScript := sigPops[len(sigPops)-1].data + if len(shScript) == 0 { + return 0 + } + + // Parse the P2SH script and don't check the error since parseScript + // returns the parsed-up-to-error list of pops and the consensus rules + // dictate signature operations are counted up to the first parse + // failure. + shPops, _ := parseScript(shScript) + return getSigOpCount(shPops, true) +} + +// IsUnspendable returns whether the passed public key script is unspendable, or +// guaranteed to fail at execution. This allows inputs to be pruned instantly +// when entering the UTXO set. +// TODO, refactor the output spendable +func IsUnspendable(pkScript []byte) bool { + pops, err := parseScript(pkScript) + if err != nil { + return true + } + + return len(pops) > 0 && pops[0].opcode.value == OP_RETURN +} diff --git a/engine/txscript/script_test.go b/engine/txscript/script_test.go new file mode 100644 index 0000000..d791f82 --- /dev/null +++ b/engine/txscript/script_test.go @@ -0,0 +1,48 @@ +// Copyright (c) 2017-2020 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2018 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. +package txscript + +import ( + "testing" +) + +func TestPushedData(t *testing.T) { + tests := []struct { + num int; + valid bool; + script []byte}{ + {0, true, []byte{OP_TRUE}}, + {1, true, []byte{OP_DATA_1, OP_TRUE}}, + {2, false, []byte{OP_DATA_2, OP_TRUE}}, + } + for _,test :=range tests { + _, err := PushedData(test.script) + if test.valid && err != nil { + t.Errorf("TestPushedData failed, valid script got error. test #%d: %v\n", test.num, err) + continue + } + if !test.valid && err == nil { + t.Errorf("TestPushedData failed, invalid script no error. test #%d: %v\n", test.num, test.script) + continue + } + } +} + +func TestIsPushOnlyScript(t *testing.T) { + tests := []struct{ + num int; + script []byte}{ + {0,[]byte{OP_TRUE}}, + {1, []byte{OP_DATA_1, OP_TRUE}}, + {2, []byte{OP_DATA_2, OP_TRUE, OP_FALSE}}, + } + for _,test :=range tests { + if !IsPushOnlyScript(test.script) { + t.Errorf("IsPushOnlyScript: test %d failed: %x\n", test.num, test.script) + continue + } + } +} \ No newline at end of file diff --git a/engine/txscript/scriptbuilder.go b/engine/txscript/scriptbuilder.go new file mode 100644 index 0000000..c27393d --- /dev/null +++ b/engine/txscript/scriptbuilder.go @@ -0,0 +1,276 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "encoding/binary" + "fmt" +) + +const ( + // defaultScriptAlloc is the default size used for the backing array + // for a script being built by the ScriptBuilder. The array will + // dynamically grow as needed, but this figure is intended to provide + // enough space for vast majority of scripts without needing to grow the + // backing array multiple times. + defaultScriptAlloc = 500 +) + +// ErrScriptNotCanonical identifies a non-canonical script. The caller can use +// a type assertion to detect this error type. +type ErrScriptNotCanonical string + +// Error implements the error interface. +func (e ErrScriptNotCanonical) Error() string { + return string(e) +} + +// ScriptBuilder provides a facility for building custom scripts. It allows +// you to push opcodes, ints, and data while respecting canonical encoding. In +// general it does not ensure the script will execute correctly, however any +// data pushes which would exceed the maximum allowed script engine limits and +// are therefore guaranteed not to execute will not be pushed and will result in +// the Script function returning an error. +// +// For example, the following would build a 2-of-3 multisig script for usage in +// a pay-to-script-hash (although in this situation MultiSigScript() would be a +// better choice to generate the script): +// builder := txscript.NewScriptBuilder() +// builder.AddOp(txscript.OP_2).AddData(pubKey1).AddData(pubKey2) +// builder.AddData(pubKey3).AddOp(txscript.OP_3) +// builder.AddOp(txscript.OP_CHECKMULTISIG) +// script, err := builder.Script() +// if err != nil { +// // Handle the error. +// return +// } +// fmt.Printf("Final multi-sig script: %x\n", script) +type ScriptBuilder struct { + script []byte + err error +} + +// AddOp pushes the passed opcode to the end of the script. The script will not +// be modified if pushing the opcode would cause the script to exceed the +// maximum allowed script engine size. +func (b *ScriptBuilder) AddOp(opcode byte) *ScriptBuilder { + if b.err != nil { + return b + } + + // Pushes that would cause the script to exceed the largest allowed + // script size would result in a non-canonical script. + if len(b.script)+1 > maxScriptSize { + str := fmt.Sprintf("adding an opcode would exceed the maximum "+ + "allowed canonical script length of %d", maxScriptSize) + b.err = ErrScriptNotCanonical(str) + return b + } + + b.script = append(b.script, opcode) + return b +} + +// AddOps pushes the passed opcodes to the end of the script. The script will +// not be modified if pushing the opcodes would cause the script to exceed the +// maximum allowed script engine size. +func (b *ScriptBuilder) AddOps(opcodes []byte) *ScriptBuilder { + if b.err != nil { + return b + } + + // Pushes that would cause the script to exceed the largest allowed + // script size would result in a non-canonical script. + if len(b.script)+len(opcodes) > maxScriptSize { + str := fmt.Sprintf("adding opcodes would exceed the maximum "+ + "allowed canonical script length of %d", maxScriptSize) + b.err = ErrScriptNotCanonical(str) + return b + } + + b.script = append(b.script, opcodes...) + return b +} + +// CanonicalDataSize returns the number of bytes the canonical encoding of the +// data will take. +func CanonicalDataSize(data []byte) int { + dataLen := len(data) + + // When the data consists of a single number that can be represented + // by one of the "small integer" opcodes, that opcode will be instead + // of a data push opcode followed by the number. + if dataLen == 0 { + return 1 + } else if dataLen == 1 && data[0] <= 16 { + return 1 + } else if dataLen == 1 && data[0] == 0x81 { + return 1 + } + + if dataLen < OP_PUSHDATA1 { + return 1 + dataLen + } else if dataLen <= 0xff { + return 2 + dataLen + } else if dataLen <= 0xffff { + return 3 + dataLen + } + + return 5 + dataLen +} + +// addData is the internal function that actually pushes the passed data to the +// end of the script. It automatically chooses canonical opcodes depending on +// the length of the data. A zero length buffer will lead to a push of empty +// data onto the stack (OP_0). No data limits are enforced with this function. +func (b *ScriptBuilder) addData(data []byte) *ScriptBuilder { + dataLen := len(data) + + // When the data consists of a single number that can be represented + // by one of the "small integer" opcodes, use that opcode instead of + // a data push opcode followed by the number. + if dataLen == 0 || dataLen == 1 && data[0] == 0 { + b.script = append(b.script, OP_0) + return b + } else if dataLen == 1 && data[0] <= 16 { + b.script = append(b.script, OP_1-1+data[0]) + return b + } else if dataLen == 1 && data[0] == 0x81 { + b.script = append(b.script, byte(OP_1NEGATE)) + return b + } + + // Use one of the OP_DATA_# opcodes if the length of the data is small + // enough so the data push instruction is only a single byte. + // Otherwise, choose the smallest possible OP_PUSHDATA# opcode that + // can represent the length of the data. + if dataLen < OP_PUSHDATA1 { + b.script = append(b.script, byte((OP_DATA_1-1)+dataLen)) + } else if dataLen <= 0xff { + b.script = append(b.script, OP_PUSHDATA1, byte(dataLen)) + } else if dataLen <= 0xffff { + buf := make([]byte, 2) + binary.LittleEndian.PutUint16(buf, uint16(dataLen)) + b.script = append(b.script, OP_PUSHDATA2) + b.script = append(b.script, buf...) + } else { + buf := make([]byte, 4) + binary.LittleEndian.PutUint32(buf, uint32(dataLen)) + b.script = append(b.script, OP_PUSHDATA4) + b.script = append(b.script, buf...) + } + + // Append the actual data. + b.script = append(b.script, data...) + + return b +} + +// AddFullData should not typically be used by ordinary users as it does not +// include the checks which prevent data pushes larger than the maximum allowed +// sizes which leads to scripts that can't be executed. This is provided for +// testing purposes such as regression tests where sizes are intentionally made +// larger than allowed. +// +// Use AddData instead. +func (b *ScriptBuilder) AddFullData(data []byte) *ScriptBuilder { + if b.err != nil { + return b + } + + return b.addData(data) +} + +// AddData pushes the passed data to the end of the script. It automatically +// chooses canonical opcodes depending on the length of the data. A zero length +// buffer will lead to a push of empty data onto the stack (OP_0) and any push +// of data greater than MaxScriptElementSize will not modify the script since +// that is not allowed by the script engine. Also, the script will not be +// modified if pushing the data would cause the script to exceed the maximum +// allowed script engine size. +func (b *ScriptBuilder) AddData(data []byte) *ScriptBuilder { + if b.err != nil { + return b + } + + // Pushes that would cause the script to exceed the largest allowed + // script size would result in a non-canonical script. + dataSize := CanonicalDataSize(data) + if len(b.script)+dataSize > maxScriptSize { + str := fmt.Sprintf("adding %d bytes of data would exceed the "+ + "maximum allowed canonical script length of %d", + dataSize, maxScriptSize) + b.err = ErrScriptNotCanonical(str) + return b + } + + // Pushes larger than the max script element size would result in a + // script that is not canonical. + dataLen := len(data) + if dataLen > MaxScriptElementSize { + str := fmt.Sprintf("adding a data element of %d bytes would "+ + "exceed the maximum allowed script element size of %d", + dataLen, maxScriptSize) + b.err = ErrScriptNotCanonical(str) + return b + } + + return b.addData(data) +} + +// AddInt64 pushes the passed integer to the end of the script. The script will +// not be modified if pushing the data would cause the script to exceed the +// maximum allowed script engine size. +func (b *ScriptBuilder) AddInt64(val int64) *ScriptBuilder { + if b.err != nil { + return b + } + + // Pushes that would cause the script to exceed the largest allowed + // script size would result in a non-canonical script. + if len(b.script)+1 > maxScriptSize { + str := fmt.Sprintf("adding an integer would exceed the "+ + "maximum allow canonical script length of %d", + maxScriptSize) + b.err = ErrScriptNotCanonical(str) + return b + } + + // Fast path for small integers and OP_1NEGATE. + if val == 0 { + b.script = append(b.script, OP_0) + return b + } + if val == -1 || (val >= 1 && val <= 16) { + b.script = append(b.script, byte((OP_1-1)+val)) + return b + } + + return b.AddData(scriptNum(val).Bytes()) +} + +// Reset resets the script so it has no content. +func (b *ScriptBuilder) Reset() *ScriptBuilder { + b.script = b.script[0:0] + b.err = nil + return b +} + +// Script returns the currently built script. When any errors occurred while +// building the script, the script will be returned up the point of the first +// error along with the error. +func (b *ScriptBuilder) Script() ([]byte, error) { + return b.script, b.err +} + +// NewScriptBuilder returns a new instance of a script builder. See +// ScriptBuilder for details. +func NewScriptBuilder() *ScriptBuilder { + return &ScriptBuilder{ + script: make([]byte, 0, defaultScriptAlloc), + } +} diff --git a/engine/txscript/scriptnum.go b/engine/txscript/scriptnum.go new file mode 100644 index 0000000..1455aa6 --- /dev/null +++ b/engine/txscript/scriptnum.go @@ -0,0 +1,222 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +const ( + maxInt32 = 1<<31 - 1 + minInt32 = -1 << 31 + + // mathOpCodeMaxScriptNumLen is the maximum number of bytes data being + // interpreted as an integer may be for the majority of op codes. + mathOpCodeMaxScriptNumLen = 4 + + // altSigSuitesMaxscriptNumLen is the maximum number of bytes for the + // type of alternative signature suite + altSigSuitesMaxscriptNumLen = 1 +) + +// scriptNum represents a numeric value used in the scripting engine with +// special handling to deal with the subtle semantics required by consensus. +// +// All numbers are stored on the data and alternate stacks encoded as little +// endian with a sign bit. All numeric opcodes such as OP_ADD, OP_SUB, +// and OP_MUL, are only allowed to operate on 4-byte integers in the range +// [-2^31 + 1, 2^31 - 1], however the results of numeric operations may overflow +// and remain valid so long as they are not used as inputs to other numeric +// operations or otherwise interpreted as an integer. +// +// For example, it is possible for OP_ADD to have 2^31 - 1 for its two operands +// resulting 2^32 - 2, which overflows, but is still pushed to the stack as the +// result of the addition. That value can then be used as input to OP_VERIFY +// which will succeed because the data is being interpreted as a boolean. +// However, if that same value were to be used as input to another numeric +// opcode, such as OP_SUB, it must fail. +// +// This type handles the aforementioned requirements by storing all numeric +// operation results as an int64 to handle overflow and provides the Bytes +// method to get the serialized representation (including values that overflow). +// +// Then, whenever data is interpreted as an integer, it is converted to this +// type by using the makeScriptNum function which will return an error if the +// number is out of range or not minimally encoded depending on parameters. +// Since all numeric opcodes involve pulling data from the stack and +// interpreting it as an integer, it provides the required behavior. +type scriptNum int64 + +// checkMinimalDataEncoding returns whether or not the passed byte array adheres +// to the minimal encoding requirements. +func checkMinimalDataEncoding(v []byte) error { + if len(v) == 0 { + return nil + } + + // Check that the number is encoded with the minimum possible + // number of bytes. + // + // If the most-significant-byte - excluding the sign bit - is zero + // then we're not minimal. Note how this test also rejects the + // negative-zero encoding, [0x80]. + if v[len(v)-1]&0x7f == 0 { + // One exception: if there's more than one byte and the most + // significant bit of the second-most-significant-byte is set + // it would conflict with the sign bit. An example of this case + // is +-255, which encode to 0xff00 and 0xff80 respectively. + // (big-endian). + if len(v) == 1 || v[len(v)-2]&0x80 == 0 { + return ErrStackMinimalData + } + } + + return nil +} + +// Bytes returns the number serialized as a little endian with a sign bit. +// +// Example encodings: +// 127 -> [0x7f] +// -127 -> [0xff] +// 128 -> [0x80 0x00] +// -128 -> [0x80 0x80] +// 129 -> [0x81 0x00] +// -129 -> [0x81 0x80] +// 256 -> [0x00 0x01] +// -256 -> [0x00 0x81] +// 32767 -> [0xff 0x7f] +// -32767 -> [0xff 0xff] +// 32768 -> [0x00 0x80 0x00] +// -32768 -> [0x00 0x80 0x80] +func (n scriptNum) Bytes() []byte { + // Zero encodes as an empty byte slice. + if n == 0 { + return nil + } + + // Take the absolute value and keep track of whether it was originally + // negative. + isNegative := n < 0 + if isNegative { + n = -n + } + + // Encode to little endian. The maximum number of encoded bytes is 9 + // (8 bytes for max int64 plus a potential byte for sign extension). + result := make([]byte, 0, 9) + for n > 0 { + result = append(result, byte(n&0xff)) + n >>= 8 + } + + // When the most significant byte already has the high bit set, an + // additional high byte is required to indicate whether the number is + // negative or positive. The additional byte is removed when converting + // back to an integral and its high bit is used to denote the sign. + // + // Otherwise, when the most significant byte does not already have the + // high bit set, use it to indicate the value is negative, if needed. + if result[len(result)-1]&0x80 != 0 { + extraByte := byte(0x00) + if isNegative { + extraByte = 0x80 + } + result = append(result, extraByte) + + } else if isNegative { + result[len(result)-1] |= 0x80 + } + + return result +} + +// Int32 returns the script number clamped to a valid int32. That is to say +// when the script number is higher than the max allowed int32, the max int32 +// value is returned and vice versa for the minimum value. Note that this +// behavior is different from a simple int32 cast because that truncates +// and the consensus rules dictate numbers which are directly cast to ints +// provide this behavior. +// +// In practice, for most opcodes, the number should never be out of range since +// it will have been created with makeScriptNum using the defaultScriptLen +// value, which rejects them. In case something in the future ends up calling +// this function against the result of some arithmetic, which IS allowed to be +// out of range before being reinterpreted as an integer, this will provide the +// correct behavior. +func (n scriptNum) Int32() int32 { + if n > maxInt32 { + return maxInt32 + } + + if n < minInt32 { + return minInt32 + } + + return int32(n) +} + +// makeScriptNum interprets the passed serialized bytes as an encoded integer +// and returns the result as a script number. +// +// Since the consensus rules dictate that serialized bytes interpreted as ints +// are only allowed to be in the range determined by a maximum number of bytes, +// on a per opcode basis, an error will be returned when the provided bytes +// would result in a number outside of that range. In particular, the range for +// the vast majority of opcodes dealing with numeric values are limited to 4 +// bytes and therefore will pass that value to this function resulting in an +// allowed range of [-2^31 + 1, 2^31 - 1]. +// +// The requireMinimal flag causes an error to be returned if additional checks +// on the encoding determine it is not represented with the smallest possible +// number of bytes or is the negative 0 encoding, [0x80]. For example, consider +// the number 127. It could be encoded as [0x7f], [0x7f 0x00], +// [0x7f 0x00 0x00 ...], etc. All forms except [0x7f] will return an error with +// requireMinimal enabled. +// +// The scriptNumLen is the maximum number of bytes the encoded value can be +// before an ErrStackNumberTooBig is returned. This effectively limits the +// range of allowed values. +// WARNING: Great care should be taken if passing a value larger than +// defaultScriptNumLen, which could lead to addition and multiplication +// overflows. +// +// See the Bytes function documentation for example encodings. +func makeScriptNum(v []byte, requireMinimal bool, scriptNumLen int) (scriptNum, error) { + // Interpreting data requires that it is not larger than + // the the passed scriptNumLen value. + if len(v) > scriptNumLen { + return 0, ErrStackNumberTooBig + } + + // Enforce minimal encoded if requested. + if requireMinimal { + if err := checkMinimalDataEncoding(v); err != nil { + return 0, err + } + } + + // Zero is encoded as an empty byte slice. + if len(v) == 0 { + return 0, nil + } + + // Decode from little endian. + var result int64 + for i, val := range v { + result |= int64(val) << uint8(8*i) + } + + // When the most significant byte of the input bytes has the sign bit + // set, the result is negative. So, remove the sign bit from the result + // and make it negative. + if v[len(v)-1]&0x80 != 0 { + // The maximum length of v has already been determined to be 4 + // above, so uint8 is enough to cover the max possible shift + // value of 24. + result &= ^(int64(0x80) << uint8(8*(len(v)-1))) + return scriptNum(-result), nil + } + + return scriptNum(result), nil +} diff --git a/engine/txscript/sigcache.go b/engine/txscript/sigcache.go new file mode 100644 index 0000000..5eaa0ec --- /dev/null +++ b/engine/txscript/sigcache.go @@ -0,0 +1,105 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2015-2016 The btcsuite developers +// Copyright (c) 2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "bytes" + "sync" + + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/crypto/ecc" +) + +// sigCacheEntry represents an entry in the SigCache. Entries within the +// SigCache are keyed according to the sigHash of the signature. In the +// scenario of a cache-hit (according to the sigHash), an additional comparison +// of the signature, and public key will be executed in order to ensure a complete +// match. In the occasion that two sigHashes collide, the newer sigHash will +// simply overwrite the existing entry. +type sigCacheEntry struct { + sig ecc.Signature + pubKey ecc.PublicKey +} + +// SigCache implements an ECDSA signature verification cache with a randomized +// entry eviction policy. Only valid signatures will be added to the cache. The +// benefits of SigCache are two fold. Firstly, usage of SigCache mitigates a DoS +// attack wherein an attack causes a victim's client to hang due to worst-case +// behavior triggered while processing attacker crafted invalid transactions. A +// detailed description of the mitigated DoS attack can be found here: +// https://bitslog.wordpress.com/2013/01/23/fixed-bitcoin-vulnerability-explanation-why-the-signature-cache-is-a-dos-protection/. +// Secondly, usage of the SigCache introduces a signature verification +// optimization which speeds up the validation of transactions within a block, +// if they've already been seen and verified within the mempool. +type SigCache struct { + sync.RWMutex + validSigs map[hash.Hash]sigCacheEntry + maxEntries uint +} + +// NewSigCache creates and initializes a new instance of SigCache. Its sole +// parameter 'maxEntries' represents the maximum number of entries allowed to +// exist in the SigCache at any particular moment. Random entries are evicted +// to make room for new entries that would cause the number of entries in the +// cache to exceed the max. +func NewSigCache(maxEntries uint) *SigCache { + return &SigCache{ + validSigs: make(map[hash.Hash]sigCacheEntry, maxEntries), + maxEntries: maxEntries, + } +} + +// Exists returns true if an existing entry of 'sig' over 'sigHash' for public +// key 'pubKey' is found within the SigCache. Otherwise, false is returned. +// +// NOTE: This function is safe for concurrent access. Readers won't be blocked +// unless there exists a writer, adding an entry to the SigCache. +func (s *SigCache) Exists(sigHash hash.Hash, sig ecc.Signature, pubKey ecc.PublicKey) bool { + s.RLock() + entry, ok := s.validSigs[sigHash] + s.RUnlock() + + return ok && + bytes.Equal(entry.pubKey.SerializeCompressed(), + pubKey.SerializeCompressed()) && + bytes.Equal(entry.sig.Serialize(), sig.Serialize()) +} + +// Add adds an entry for a signature over 'sigHash' under public key 'pubKey' +// to the signature cache. In the event that the SigCache is 'full', an +// existing entry is randomly chosen to be evicted in order to make space for +// the new entry. +// +// NOTE: This function is safe for concurrent access. Writers will block +// simultaneous readers until function execution has concluded. +func (s *SigCache) Add(sigHash hash.Hash, sig ecc.Signature, pubKey ecc.PublicKey) { + s.Lock() + defer s.Unlock() + + if s.maxEntries <= 0 { + return + } + + // If adding this new entry will put us over the max number of allowed + // entries, then evict an entry. + if uint(len(s.validSigs)+1) > s.maxEntries { + // Remove a random entry from the map. Relying on the random + // starting point of Go's map iteration. It's worth noting that + // the random iteration starting point is not 100% guaranteed + // by the spec, however most Go compilers support it. + // Ultimately, the iteration order isn't important here because + // in order to manipulate which items are evicted, an adversary + // would need to be able to execute preimage attacks on the + // hashing function in order to start eviction at a specific + // entry. + for sigEntry := range s.validSigs { + delete(s.validSigs, sigEntry) + break + } + } + s.validSigs[sigHash] = sigCacheEntry{sig, pubKey} +} diff --git a/engine/txscript/sighash.go b/engine/txscript/sighash.go new file mode 100644 index 0000000..ee65d0a --- /dev/null +++ b/engine/txscript/sighash.go @@ -0,0 +1,462 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2018 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "encoding/binary" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/params" + "math" +) + +// SigHashType represents hash type bits at the end of a signature. +type SigHashType byte + +// Hash type bits from the end of a signature. +const ( + SigHashOld SigHashType = 0x0 + SigHashAll SigHashType = 0x1 + SigHashNone SigHashType = 0x2 + SigHashSingle SigHashType = 0x3 + SigHashAnyOneCanPay SigHashType = 0x80 + + // sigHashMask defines the number of bits of the hash type which is used + // to identify which outputs are signed. + sigHashMask = 0x1f +) + +// SigHashSerType represents the serialization type used when calculating +// signature hashes. +// +// NOTE: These values were originally a part of transaction serialization which +// is why there is a gap and they are not zero based. The logic for calculating +// signature hashes has since been decoupled from transaction serialization +// logic, but these specific values are still required by consensus, so they +// must remain unchanged. +type SigHashSerType uint16 + +const ( + // SigHashSerializePrefix indicates the serialization does not include + // any witness data. + SigHashSerializePrefix = 1 + + // SigHashSerializeWitness indicates the serialization only contains + // witness data. + SigHashSerializeWitness = 3 +) + +// ----------------------------------------------------------------------------- +// A variable length integer (varint) is an encoding for integers up to a max +// value of 2^64-1 that uses a variable number of bytes depending on the value +// being encoded. It produces fewer bytes for smaller numbers as opposed to a +// fixed-size encoding and is used within the signature hash algorithm to +// specify the number of items or bytes that follow it. +// +// The encoding is as follows: +// +// Value Len Format +// ----- --- ------ +// < 0xfd 1 val as uint8 +// <= 0xffff 3 0xfd followed by val as little-endian uint16 +// <= 0xffffffff 5 0xfe followed by val as little-endian uint32 +// <= 0xffffffffffffffff 9 0xff followed by val as little-endian uint64 +// +// Example encodings: +// 0 -> [0x00] +// 252 -> [0xfc] * Max 1-byte encoded value +// 253 -> [0xfdfd00] * Min 3-byte encoded value +// 254 -> [0xfdfe00] +// 256 -> [0xfd0001] +// 65535 -> [0xfdffff] * Max 3-byte encoded value +// 65536 -> [0xfe00000100] * Min 5-byte encoded value +// 131071 -> [0xfeffff0100] +// 4294967295 -> [0xfeffffffff] * Max 5-byte encoded value +// 4294967296 -> [0xff0000000001000000] * Min 9-byte encoded value +// 2^64-1 -> [0xffffffffffffffffff] * Max allowed value +// ----------------------------------------------------------------------------- + +// varIntSerializeSize returns the number of bytes it would take to serialize +// the provided value as a variable length integer according to the format +// described above. +func varIntSerializeSize(val uint64) int { + // The value is small enough to be represented by itself. + if val < 0xfd { + return 1 + } + + // Discriminant 1 byte plus 2 bytes for the uint16. + if val <= math.MaxUint16 { + return 3 + } + + // Discriminant 1 byte plus 4 bytes for the uint32. + if val <= math.MaxUint32 { + return 5 + } + + // Discriminant 1 byte plus 8 bytes for the uint64. + return 9 +} + +// putVarInt serializes the provided number to a variable-length integer and +// according to the format described above returns the number of bytes of the +// encoded value. The result is placed directly into the passed byte slice +// which must be at least large enough to handle the number of bytes returned by +// the varIntSerializeSize function or it will panic. +func putVarInt(buf []byte, val uint64) int { + if val < 0xfd { + buf[0] = uint8(val) + return 1 + } + + if val <= math.MaxUint16 { + buf[0] = 0xfd + binary.LittleEndian.PutUint16(buf[1:], uint16(val)) + return 3 + } + + if val <= math.MaxUint32 { + buf[0] = 0xfe + binary.LittleEndian.PutUint32(buf[1:], uint32(val)) + return 5 + } + + buf[0] = 0xff + binary.LittleEndian.PutUint64(buf[1:], val) + return 9 +} + +// putByte writes the passed byte to the provided slice and returns 1 to signify +// the number of bytes written. The target byte slice must be at least large +// enough to handle the write or it will panic. +func putByte(buf []byte, val byte) int { + buf[0] = val + return 1 +} + +// putUint16LE writes the provided uint16 as little endian to the provided slice +// and returns 2 to signify the number of bytes written. The target byte slice +// must be at least large enough to handle the write or it will panic. +func putUint16LE(buf []byte, val uint16) int { + binary.LittleEndian.PutUint16(buf, val) + return 2 +} + +// putUint32LE writes the provided uint32 as little endian to the provided slice +// and returns 4 to signify the number of bytes written. The target byte slice +// must be at least large enough to handle the write or it will panic. +func putUint32LE(buf []byte, val uint32) int { + binary.LittleEndian.PutUint32(buf, val) + return 4 +} + +// putUint64LE writes the provided uint64 as little endian to the provided slice +// and returns 8 to signify the number of bytes written. The target byte slice +// must be at least large enough to handle the write or it will panic. +func putUint64LE(buf []byte, val uint64) int { + binary.LittleEndian.PutUint64(buf, val) + return 8 +} + +// sigHashPrefixSerializeSize returns the number of bytes the passed parameters +// would take when encoded with the format used by the prefix hash portion of +// the overall signature hash. +func sigHashPrefixSerializeSize(hashType SigHashType, txIns []*types.TxInput, txOuts []*types.TxOutput, signIdx int) int { + // 1) 4 bytes version/serialization type + // 2) number of inputs varint + // 3) per input: + // a) 32 bytes prevout hash + // b) 4 bytes prevout index + // c) 1 byte prevout tree + // d) 4 bytes sequence + // 4) number of outputs varint + // 5) per output: + // a) 8 bytes amount + // b) 2 bytes script version + // c) pkscript len varint (1 byte if not SigHashSingle output) + // d) N bytes pkscript (0 bytes if not SigHashSingle output) + // 6) 4 bytes lock time + // 7) 4 bytes expiry + numTxIns := len(txIns) + numTxOuts := len(txOuts) + size := 4 + varIntSerializeSize(uint64(numTxIns)) + + numTxIns*(hash.HashSize+4+1+4) + + varIntSerializeSize(uint64(numTxOuts)) + + numTxOuts*(8+2) + 4 + 4 + for txOutIdx, txOut := range txOuts { + pkScript := txOut.PkScript + if hashType&sigHashMask == SigHashSingle && txOutIdx != signIdx { + pkScript = nil + } + size += varIntSerializeSize(uint64(len(pkScript))) + size += len(pkScript) + } + return size +} + +// sigHashWitnessSerializeSize returns the number of bytes the passed parameters +// would take when encoded with the format used by the witness hash portion of +// the overall signature hash. +func sigHashWitnessSerializeSize(hashType SigHashType, txIns []*types.TxInput, signScript []byte) int { + // 1) 4 bytes version/serialization type + // 2) number of inputs varint + // 3) per input: + // a) prevout pkscript varint (1 byte if not input being signed) + // b) N bytes prevout pkscript (0 bytes if not input being signed) + // + // NOTE: The prevout pkscript is replaced by nil for all inputs except + // the input being signed. Thus, all other inputs (aka numTxIns-1) commit + // to a nil script which gets encoded as a single 0x00 byte. This is + // because encoding 0 as a varint results in 0x00 and there is no script + // to write. So, rather than looping through all inputs and manually + // calculating the size per input, use (numTxIns - 1) as an + // optimization. + numTxIns := len(txIns) + return 4 + varIntSerializeSize(uint64(numTxIns)) + (numTxIns - 1) + + varIntSerializeSize(uint64(len(signScript))) + + len(signScript) +} + +// calcSignatureHash computes the signature hash for the specified input of +// the target transaction observing the desired signature hash type. The +// cached prefix parameter allows the caller to optimize the calculation by +// providing the prefix hash to be reused in the case of SigHashAll without the +// SigHashAnyOneCanPay flag set. +func calcSignatureHash(prevOutScript []ParsedOpcode, hashType SigHashType, tx *types.Transaction, idx int, cachedPrefix *hash.Hash) ([]byte, error) { + // The SigHashSingle signature type signs only the corresponding input + // and output (the output with the same index number as the input). + // + // Since transactions can have more inputs than outputs, this means it + // is improper to use SigHashSingle on input indices that don't have a + // corresponding output. + if hashType&sigHashMask == SigHashSingle && idx >= len(tx.TxOut) { + return nil, ErrSighashSingleIdx + } + + // Remove all instances of OP_CODESEPARATOR from the script. + // + // The call to unparseScript cannot fail here because removeOpcode + // only returns a valid script. + prevOutScript = removeOpcode(prevOutScript, OP_CODESEPARATOR) + signScript, _ := unparseScript(prevOutScript) + + // Choose the inputs that will be committed to based on the signature + // hash type. + // + // The SigHashAnyOneCanPay flag specifies that the signature will only + // commit to the input being signed. Otherwise, it will commit to all + // inputs. + txIns := tx.TxIn + signTxInIdx := idx + if hashType&SigHashAnyOneCanPay != 0 { + txIns = tx.TxIn[idx : idx+1] + signTxInIdx = 0 + } + + // The prefix hash commits to the non-witness data depending on the + // signature hash type. In particular, the specific inputs and output + // semantics which are committed to are modified depending on the + // signature hash type as follows: + // + // SigHashAll (and undefined signature hash types): + // Commits to all outputs. + // SigHashNone: + // Commits to no outputs with all input sequences except the input + // being signed replaced with 0. + // SigHashSingle: + // Commits to a single output at the same index as the input being + // signed. All outputs before that index are cleared by setting the + // value to -1 and pkscript to nil and all outputs after that index + // are removed. Like SigHashNone, all input sequences except the + // input being signed are replaced by 0. + // SigHashAnyOneCanPay: + // Commits to only the input being signed. Bit flag that can be + // combined with the other signature hash types. Without this flag + // set, commits to all inputs. + // + // With the relevant inputs and outputs selected and the aforementioned + // substitions, the prefix hash consists of the hash of the + // serialization of the following fields: + // + // 1) txversion|(SigHashSerializePrefix<<16) (as little-endian uint32) + // 2) number of inputs (as varint) + // 3) per input: + // a) prevout hash (as little-endian uint256) + // b) prevout index (as little-endian uint32) + // c) prevout tree (as single byte) + // d) sequence (as little-endian uint32) + // 4) number of outputs (as varint) + // 5) per output: + // a) output amount (as little-endian uint64) + // b) pkscript version (as little-endian uint16) + // c) pkscript length (as varint) + // d) pkscript (as unmodified bytes) + // 6) transaction lock time (as little-endian uint32) + // 7) transaction expiry (as little-endian uint32) + // + // In addition, an optimization for SigHashAll is provided when the + // SigHashAnyOneCanPay flag is not set. In that case, the prefix hash + // can be reused because only the witness data has been modified, so + // the wasteful extra O(N^2) hash can be avoided. + var prefixHash hash.Hash + if params.SigHashOptimization && cachedPrefix != nil && + hashType&sigHashMask == SigHashAll && + hashType&SigHashAnyOneCanPay == 0 { + + prefixHash = *cachedPrefix + } else { + // Choose the outputs to commit to based on the signature hash + // type. + // + // As the names imply, SigHashNone commits to no outputs and + // SigHashSingle commits to the single output that corresponds + // to the input being signed. However, SigHashSingle is also a + // bit special in that it commits to cleared out variants of all + // outputs prior to the one being signed. This is required by + // consensus due to legacy reasons. + // + // All other signature hash types, such as SighHashAll commit to + // all outputs. Note that this includes undefined hash types as well. + txOuts := tx.TxOut + switch hashType & sigHashMask { + case SigHashNone: + txOuts = nil + case SigHashSingle: + txOuts = tx.TxOut[:idx+1] + default: + fallthrough + case SigHashOld: + fallthrough + case SigHashAll: + // Nothing special here. + } + + size := sigHashPrefixSerializeSize(hashType, txIns, txOuts, idx) + prefixBuf := make([]byte, size) + + // Commit to the version and hash serialization type. + version := uint32(tx.Version) | uint32(SigHashSerializePrefix)<<16 + offset := putUint32LE(prefixBuf, version) + + // Commit to the relevant transaction inputs. + offset += putVarInt(prefixBuf[offset:], uint64(len(txIns))) + for txInIdx, txIn := range txIns { + // Commit to the outpoint being spent. + prevOut := &txIn.PreviousOut + offset += copy(prefixBuf[offset:], prevOut.Hash[:]) + offset += putUint32LE(prefixBuf[offset:], prevOut.OutIndex) + + // Commit to the sequence. In the case of SigHashNone + // and SigHashSingle, commit to 0 for everything that is + // not the input being signed instead. + sequence := txIn.Sequence + if (hashType&sigHashMask == SigHashNone || + hashType&sigHashMask == SigHashSingle) && + txInIdx != signTxInIdx { + + sequence = 0 + } + offset += putUint32LE(prefixBuf[offset:], sequence) + } + + // Commit to the relevant transaction outputs. + offset += putVarInt(prefixBuf[offset:], uint64(len(txOuts))) + for txOutIdx, txOut := range txOuts { + // Commit to the output amount, script version, and + // public key script. In the case of SigHashSingle, + // commit to an output amount of -1 and a nil public + // key script for everything that is not the output + // corresponding to the input being signed instead. + coinId := txOut.Amount.Id + value := txOut.Amount.Value + pkScript := txOut.PkScript + if hashType&sigHashMask == SigHashSingle && txOutIdx != idx { + value = 0 + pkScript = nil + } + offset += putUint16LE(prefixBuf[offset:], uint16(coinId)) + offset += putUint64LE(prefixBuf[offset:], uint64(value)) + offset += putVarInt(prefixBuf[offset:], uint64(len(pkScript))) + offset += copy(prefixBuf[offset:], pkScript) + } + + // Commit to the lock time and expiry. + offset += putUint32LE(prefixBuf[offset:], tx.LockTime) + putUint32LE(prefixBuf[offset:], tx.Expire) + + prefixHash = hash.HashH(prefixBuf) + } + + // The witness hash commits to the input witness data depending on + // whether or not the signature hash type has the SigHashAnyOneCanPay + // flag set. In particular the semantics are as follows: + // + // SigHashAnyOneCanPay: + // Commits to only the input being signed. Without this flag set, + // commits to all inputs with the reference scripts cleared by setting + // them to nil. + // + // With the relevant inputs selected, and the aforementioned substitutions, + // the witness hash consists of the hash of the serialization of the + // following fields: + // + // 1) txversion|(SigHashSerializeWitness<<16) (as little-endian uint32) + // 2) number of inputs (as varint) + // 3) per input: + // a) length of prevout pkscript (as varint) + // b) prevout pkscript (as unmodified bytes) + + size := sigHashWitnessSerializeSize(hashType, txIns, signScript) + witnessBuf := make([]byte, size) + + // Commit to the version and hash serialization type. + version := uint32(tx.Version) | uint32(SigHashSerializeWitness)<<16 + offset := putUint32LE(witnessBuf, version) + + // Commit to the relevant transaction inputs. + offset += putVarInt(witnessBuf[offset:], uint64(len(txIns))) + for txInIdx := range txIns { + // Commit to the input script at the index corresponding to the + // input index being signed. Otherwise, commit to a nil script + // instead. + commitScript := signScript + if txInIdx != signTxInIdx { + commitScript = nil + } + offset += putVarInt(witnessBuf[offset:], uint64(len(commitScript))) + offset += copy(witnessBuf[offset:], commitScript) + } + + witnessHash := hash.HashH(witnessBuf) + + // The final signature hash (message to sign) is the hash of the + // serialization of the following fields: + // + // 1) the hash type (as little-endian uint32) + // 2) prefix hash (as produced by hash function) + // 3) witness hash (as produced by hash function) + sigHashBuf := make([]byte, hash.HashSize*2+4) + offset = putUint32LE(sigHashBuf, uint32(hashType)) + offset += copy(sigHashBuf[offset:], prefixHash[:]) + copy(sigHashBuf[offset:], witnessHash[:]) + return hash.HashB(sigHashBuf), nil +} + +// CalcSignatureHash computes the signature hash for the specified input of +// the target transaction observing the desired signature hash type. The +// cached prefix parameter allows the caller to optimize the calculation by +// providing the prefix hash to be reused in the case of SigHashAll without the +// SigHashAnyOneCanPay flag set. +func CalcSignatureHash(script []byte, hashType SigHashType, tx *types.Transaction, idx int, cachedPrefix *hash.Hash) ([]byte, error) { + pops, err := parseScript(script) + if err != nil { + return nil, err + } + + return calcSignatureHash(pops, hashType, tx, idx, cachedPrefix) +} diff --git a/engine/txscript/sign.go b/engine/txscript/sign.go new file mode 100644 index 0000000..61bbe3f --- /dev/null +++ b/engine/txscript/sign.go @@ -0,0 +1,1211 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "errors" + "fmt" + + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/address" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/params" +) + +// RawTxInSignature returns the serialized ECDSA signature for the input idx of +// the given transaction, with hashType appended to it. +func RawTxInSignature(tx *types.Transaction, idx int, subScript []byte, + hashType SigHashType, key ecc.PrivateKey) ([]byte, error) { + + parsedScript, err := parseScript(subScript) + if err != nil { + return nil, fmt.Errorf("cannot parse output script: %v", err) + } + h, err := calcSignatureHash(parsedScript, hashType, tx, idx, nil) + if err != nil { + return nil, err + } + + r, s, err := ecc.Secp256k1.Sign(key, h) + if err != nil { + return nil, fmt.Errorf("cannot sign tx input: %s", err) + } + sig := ecc.Secp256k1.NewSignature(r, s) + + return append(sig.Serialize(), byte(hashType)), nil +} + +// RawTxInSignatureAlt returns the serialized ECDSA signature for the input idx of +// the given transaction, with hashType appended to it. +func RawTxInSignatureAlt(tx *types.Transaction, idx int, subScript []byte, + hashType SigHashType, key ecc.PrivateKey, sigType sigTypes) ([]byte, + error) { + + parsedScript, err := parseScript(subScript) + if err != nil { + return nil, fmt.Errorf("cannot parse output script: %v", err) + } + hash, err := calcSignatureHash(parsedScript, hashType, tx, idx, nil) + if err != nil { + return nil, err + } + + var sig ecc.Signature + switch sigType { + case edwards: + r, s, err := ecc.Ed25519.Sign(key, hash) + if err != nil { + return nil, fmt.Errorf("cannot sign tx input: %s", err) + } + sig = ecc.Ed25519.NewSignature(r, s) + case secSchnorr: + r, s, err := ecc.SecSchnorr.Sign(key, hash) + if err != nil { + return nil, fmt.Errorf("cannot sign tx input: %s", err) + } + sig = ecc.SecSchnorr.NewSignature(r, s) + default: + return nil, fmt.Errorf("unknown alt sig type %v", sigType) + } + + return append(sig.Serialize(), byte(hashType)), nil +} + +// SignatureScript creates an input signature script for tx to spend coins sent +// from a previous output to the owner of privKey. tx must include all +// transaction inputs and outputs, however txin scripts are allowed to be filled +// or empty. The returned script is calculated to be used as the idx'th txin +// sigscript for tx. subscript is the PkScript of the previous output being used +// as the idx'th input. privKey is serialized in either a compressed or +// uncompressed format based on compress. This format must match the same format +// used to generate the payment address, or the script validation will fail. +func SignatureScript(tx *types.Transaction, idx int, subscript []byte, + hashType SigHashType, privKey ecc.PrivateKey, compress bool) ([]byte, + error) { + sig, err := RawTxInSignature(tx, idx, subscript, hashType, privKey) + if err != nil { + return nil, err + } + + pubx, puby := privKey.Public() + pub := ecc.Secp256k1.NewPublicKey(pubx, puby) + var pkData []byte + if compress { + pkData = pub.SerializeCompressed() + } else { + pkData = pub.SerializeUncompressed() + } + + return NewScriptBuilder().AddData(sig).AddData(pkData).Script() +} + +// SignatureScriptAlt creates an input signature script for tx to spend coins sent +// from a previous output to the owner of privKey. tx must include all +// transaction inputs and outputs, however txin scripts are allowed to be filled +// or empty. The returned script is calculated to be used as the idx'th txin +// sigscript for tx. subscript is the PkScript of the previous output being used +// as the idx'th input. privKey is serialized in the respective format for the +// ECDSA type. This format must match the same format used to generate the payment +// address, or the script validation will fail. +func SignatureScriptAlt(tx *types.Transaction, idx int, subscript []byte, + hashType SigHashType, privKey ecc.PrivateKey, compress bool, + sigType int) ([]byte, + error) { + sig, err := RawTxInSignatureAlt(tx, idx, subscript, hashType, privKey, + sigTypes(sigType)) + if err != nil { + return nil, err + } + + pubx, puby := privKey.Public() + var pub ecc.PublicKey + switch sigTypes(sigType) { + case edwards: + pub = ecc.Ed25519.NewPublicKey(pubx, puby) + case secSchnorr: + pub = ecc.SecSchnorr.NewPublicKey(pubx, puby) + } + pkData := pub.Serialize() + + return NewScriptBuilder().AddData(sig).AddData(pkData).Script() +} + +// p2pkSignatureScript constructs a pay-to-pubkey signature script. +func p2pkSignatureScript(tx *types.Transaction, idx int, subScript []byte, + hashType SigHashType, privKey ecc.PrivateKey) ([]byte, error) { + sig, err := RawTxInSignature(tx, idx, subScript, hashType, privKey) + if err != nil { + return nil, err + } + + return NewScriptBuilder().AddData(sig).Script() +} + +// p2pkSignatureScript constructs a pay-to-pubkey signature script for alternative +// ECDSA types. +func p2pkSignatureScriptAlt(tx *types.Transaction, idx int, subScript []byte, + hashType SigHashType, privKey ecc.PrivateKey, sigType sigTypes) ([]byte, + error) { + sig, err := RawTxInSignatureAlt(tx, idx, subScript, hashType, privKey, + sigType) + if err != nil { + return nil, err + } + + return NewScriptBuilder().AddData(sig).Script() +} + +// signMultiSig signs as many of the outputs in the provided multisig script as +// possible. It returns the generated script and a boolean if the script fulfils +// the contract (i.e. nrequired signatures are provided). Since it is arguably +// legal to not be able to sign any of the outputs, no error is returned. +func signMultiSig(tx *types.Transaction, idx int, subScript []byte, hashType SigHashType, + addresses []types.Address, nRequired int, kdb KeyDB) ([]byte, bool) { + // No need to add dummy. + // TODO, revisit the bitcoin multi-sig script bug + builder := NewScriptBuilder() + signed := 0 + for _, addr := range addresses { + key, _, err := kdb.GetKey(addr) + if err != nil { + continue + } + sig, err := RawTxInSignature(tx, idx, subScript, hashType, key) + if err != nil { + continue + } + + builder.AddData(sig) + signed++ + if signed == nRequired { + break + } + } + + script, _ := builder.Script() + return script, signed == nRequired +} + +// handleStakeOutSign is a convenience function for reducing code clutter in +// sign. It handles the signing of stake outputs. +func handleStakeOutSign(chainParams *params.Params, tx *types.Transaction, idx int, + subScript []byte, hashType SigHashType, kdb KeyDB, sdb ScriptDB, + addresses []types.Address, class ScriptClass, subClass ScriptClass, + nrequired int) ([]byte, ScriptClass, []types.Address, int, error) { + + // look up key for address + switch subClass { + case PubKeyHashTy: + key, compressed, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + txscript, err := SignatureScript(tx, idx, subScript, hashType, + key, compressed) + if err != nil { + return nil, class, nil, 0, err + } + return txscript, class, addresses, nrequired, nil + case ScriptHashTy: + script, err := sdb.GetScript(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + } + + return nil, class, nil, 0, fmt.Errorf("unknown subclass for stake output " + + "to sign") +} + +// sign is the main signing workhorse. It takes a script, its input transaction, +// its input index, a database of keys, a database of scripts, and information +// about the type of signature and returns a signature, script class, the +// addresses involved, and the number of signatures required. +func sign(chainParams *params.Params, tx *types.Transaction, idx int, + subScript []byte, hashType SigHashType, kdb KeyDB, sdb ScriptDB, + sigType sigTypes) ([]byte, + ScriptClass, []types.Address, int, error) { + + class, addresses, nrequired, err := ExtractPkScriptAddrs( + subScript, chainParams) + if err != nil { + return nil, NonStandardTy, nil, 0, err + } + + subClass := class + isStakeType := class == StakeSubmissionTy || + class == StakeSubChangeTy || + class == StakeGenTy || + class == StakeRevocationTy + if isStakeType { + subClass, err = GetStakeOutSubclass(subScript) + if err != nil { + return nil, 0, nil, 0, + fmt.Errorf("unknown stake output subclass encountered") + } + } + + switch class { + case PubKeyTy: + // look up key for address + key, _, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := p2pkSignatureScript(tx, idx, subScript, hashType, + key) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + + case PubkeyAltTy: + // look up key for address + key, _, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := p2pkSignatureScriptAlt(tx, idx, subScript, hashType, + key, sigType) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + + case PubKeyHashTy: + // look up key for address + key, compressed, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := SignatureScript(tx, idx, subScript, hashType, + key, compressed) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + + case PubkeyHashAltTy: + // look up key for address + key, compressed, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := SignatureScriptAlt(tx, idx, subScript, hashType, + key, compressed, int(sigType)) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + + case ScriptHashTy: + script, err := sdb.GetScript(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + + case MultiSigTy: + script, _ := signMultiSig(tx, idx, subScript, hashType, + addresses, nrequired, kdb) + return script, class, addresses, nrequired, nil + + case StakeSubmissionTy: + return handleStakeOutSign(chainParams, tx, idx, subScript, hashType, kdb, + sdb, addresses, class, subClass, nrequired) + + case StakeGenTy: + return handleStakeOutSign(chainParams, tx, idx, subScript, hashType, kdb, + sdb, addresses, class, subClass, nrequired) + + case StakeRevocationTy: + return handleStakeOutSign(chainParams, tx, idx, subScript, hashType, kdb, + sdb, addresses, class, subClass, nrequired) + + case StakeSubChangeTy: + return handleStakeOutSign(chainParams, tx, idx, subScript, hashType, kdb, + sdb, addresses, class, subClass, nrequired) + + case NullDataTy: + return nil, class, nil, 0, + errors.New("can't sign NULLDATA transactions") + + case CLTVPubKeyHashTy: + key, compressed, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := SignatureScript(tx, idx, subScript, hashType, + key, compressed) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + + case TokenPubKeyHashTy: + key, compressed, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := SignatureScript(tx, idx, subScript, hashType, + key, compressed) + if err != nil { + return nil, class, nil, 0, err + } + + return script, class, addresses, nrequired, nil + default: + return nil, class, nil, 0, + errors.New("can't sign unknown transactions") + } +} + +// mergeScripts merges sigScript and prevScript assuming they are both +// partial solutions for pkScript spending output idx of tx. class, addresses +// and nrequired are the result of extracting the addresses from pkscript. +// The return value is the best effort merging of the two scripts. Calling this +// function with addresses, class and nrequired that do not match pkScript is +// an error and results in undefined behaviour. +func mergeScripts(chainParams *params.Params, tx *types.Transaction, idx int, + pkScript []byte, class ScriptClass, addresses []types.Address, + nRequired int, sigScript, prevScript []byte) []byte { + + // TODO(oga) the scripthash and multisig paths here are overly + // inefficient in that they will recompute already known data. + // some internal refactoring could probably make this avoid needless + // extra calculations. + switch class { + case ScriptHashTy: + // Remove the last push in the script and then recurse. + // this could be a lot less inefficient. + sigPops, err := parseScript(sigScript) + if err != nil || len(sigPops) == 0 { + return prevScript + } + prevPops, err := parseScript(prevScript) + if err != nil || len(prevPops) == 0 { + return sigScript + } + + // assume that script in sigPops is the correct one, we just + // made it. + script := sigPops[len(sigPops)-1].data + + // We already know this information somewhere up the stack, + // therefore the error is ignored. + class, addresses, nrequired, _ := + ExtractPkScriptAddrs(script, chainParams) + + // regenerate scripts. + sigScript, _ := unparseScript(sigPops) + prevScript, _ := unparseScript(prevPops) + + // Merge + mergedScript := mergeScripts(chainParams, tx, idx, script, + class, addresses, nrequired, sigScript, prevScript) + + // Reappend the script and return the result. + builder := NewScriptBuilder() + builder.AddOps(mergedScript) + builder.AddData(script) + finalScript, _ := builder.Script() + return finalScript + case MultiSigTy: + return mergeMultiSig(tx, idx, addresses, nRequired, pkScript, + sigScript, prevScript) + + // It doesn't actually make sense to merge anything other than multiig + // and scripthash (because it could contain multisig). Everything else + // has either zero signature, can't be spent, or has a single signature + // which is either present or not. The other two cases are handled + // above. In the conflict case here we just assume the longest is + // correct (this matches behaviour of the reference implementation). + default: + if len(sigScript) > len(prevScript) { + return sigScript + } + return prevScript + } +} + +// mergeMultiSig combines the two signature scripts sigScript and prevScript +// that both provide signatures for pkScript in output idx of tx. addresses +// and nRequired should be the results from extracting the addresses from +// pkScript. Since this function is internal only we assume that the arguments +// have come from other functions internally and thus are all consistent with +// each other, behaviour is undefined if this contract is broken. +func mergeMultiSig(tx *types.Transaction, idx int, addresses []types.Address, + nRequired int, pkScript, sigScript, prevScript []byte) []byte { + + // This is an internal only function and we already parsed this script + // as ok for multisig (this is how we got here), so if this fails then + // all assumptions are broken and who knows which way is up? + pkPops, _ := parseScript(pkScript) + + sigPops, err := parseScript(sigScript) + if err != nil || len(sigPops) == 0 { + return prevScript + } + + prevPops, err := parseScript(prevScript) + if err != nil || len(prevPops) == 0 { + return sigScript + } + + // Convenience function to avoid duplication. + extractSigs := func(pops []ParsedOpcode, sigs [][]byte) [][]byte { + for _, pop := range pops { + if len(pop.data) != 0 { + sigs = append(sigs, pop.data) + } + } + return sigs + } + + possibleSigs := make([][]byte, 0, len(sigPops)+len(prevPops)) + possibleSigs = extractSigs(sigPops, possibleSigs) + possibleSigs = extractSigs(prevPops, possibleSigs) + + // Now we need to match the signatures to pubkeys, the only real way to + // do that is to try to verify them all and match it to the pubkey + // that verifies it. we then can go through the addresses in order + // to build our script. Anything that doesn't parse or doesn't verify we + // throw away. + addrToSig := make(map[string][]byte) +sigLoop: + for _, sig := range possibleSigs { + + // can't have a valid signature that doesn't at least have a + // hashtype, in practise it is even longer than this. but + // that'll be checked next. + if len(sig) < 1 { + continue + } + tSig := sig[:len(sig)-1] + hashType := SigHashType(sig[len(sig)-1]) + + pSig, err := ecc.Secp256k1.ParseDERSignature(tSig) + if err != nil { + continue + } + + // We have to do this each round since hash types may vary + // between signatures and so the hash will vary. We can, + // however, assume no sigs etc are in the script since that + // would make the transaction nonstandard and thus not + // MultiSigTy, so we just need to hash the full thing. + hash, err := calcSignatureHash(pkPops, hashType, tx, idx, nil) + if err != nil { + // is this the right handling for SIGHASH_SINGLE error ? + // make sure this doesn't break anything. + // TODO revisit the SIGHASH_SINGLE design + continue + } + + for _, addr := range addresses { + // All multisig addresses should be pubkey addreses + // it is an error to call this internal function with + // bad input. + pkaddr := addr.(*address.SecpPubKeyAddress) + + pubKey := pkaddr.PubKey() + + // If it matches we put it in the map. We only + // can take one signature per public key so if we + // already have one, we can throw this away. + r := pSig.GetR() + s := pSig.GetS() + if ecc.Secp256k1.Verify(pubKey, hash, r, s) { + aStr := addr.Encode() + if _, ok := addrToSig[aStr]; !ok { + addrToSig[aStr] = sig + } + continue sigLoop + } + } + } + + // Extra opcode to handle the extra arg consumed (due to previous bugs + // in the reference implementation). + builder := NewScriptBuilder() //.AddOp(OP_FALSE) + doneSigs := 0 + // This assumes that addresses are in the same order as in the script. + for _, addr := range addresses { + sig, ok := addrToSig[addr.Encode()] + if !ok { + continue + } + builder.AddData(sig) + doneSigs++ + if doneSigs == nRequired { + break + } + } + + // padding for missing ones. + for i := doneSigs; i < nRequired; i++ { + builder.AddOp(OP_0) + } + + script, _ := builder.Script() + return script +} + +// KeyDB is an interface type provided to SignTxOutput, it encapsulates +// any user state required to get the private keys for an address. +type KeyDB interface { + GetKey(types.Address) (ecc.PrivateKey, bool, error) +} + +// KeyClosure implements KeyDB with a closure. +type KeyClosure func(types.Address) (ecc.PrivateKey, bool, error) + +// GetKey implements KeyDB by returning the result of calling the closure. +func (kc KeyClosure) GetKey(address types.Address) (ecc.PrivateKey, + bool, error) { + return kc(address) +} + +// ScriptDB is an interface type provided to SignTxOutput, it encapsulates any +// user state required to get the scripts for an pay-to-script-hash address. +type ScriptDB interface { + GetScript(types.Address) ([]byte, error) +} + +// ScriptClosure implements ScriptDB with a closure. +type ScriptClosure func(types.Address) ([]byte, error) + +// GetScript implements ScriptDB by returning the result of calling the closure. +func (sc ScriptClosure) GetScript(address types.Address) ([]byte, error) { + return sc(address) +} + +// SignTxOutput signs output idx of the given tx to resolve the script given in +// pkScript with a signature type of hashType. Any keys required will be +// looked up by calling getKey() with the string of the given address. +// Any pay-to-script-hash signatures will be similarly looked up by calling +// getScript. If previousScript is provided then the results in previousScript +// will be merged in a type-dependent manner with the newly generated. +// signature script. +func SignTxOutput(chainParams *params.Params, tx *types.Transaction, idx int, + pkScript []byte, hashType SigHashType, kdb KeyDB, sdb ScriptDB, + previousScript []byte, sigType ecc.EcType) ([]byte, error) { + sigScript, class, addresses, nrequired, err := sign(chainParams, tx, + idx, pkScript, hashType, kdb, sdb, sigTypes(sigType)) + if err != nil { + return nil, err + } + + isStakeType := class == StakeSubmissionTy || + class == StakeSubChangeTy || + class == StakeGenTy || + class == StakeRevocationTy + if isStakeType { + class, err = GetStakeOutSubclass(pkScript) + if err != nil { + return nil, fmt.Errorf("unknown stake output subclass encountered") + } + } + + if class == ScriptHashTy { + // TODO keep the sub addressed and pass down to merge. + realSigScript, _, _, _, err := sign(chainParams, tx, idx, + sigScript, hashType, kdb, sdb, sigTypes(sigType)) + if err != nil { + return nil, err + } + + // Append the p2sh script as the last push in the script. + builder := NewScriptBuilder() + builder.AddOps(realSigScript) + builder.AddData(sigScript) + + sigScript, _ = builder.Script() + // TODO keep a copy of the script for merging. + } + + // Merge scripts. with any previous data, if any. + mergedScript := mergeScripts(chainParams, tx, idx, pkScript, class, + addresses, nrequired, sigScript, previousScript) + return mergedScript, nil +} + +//TODO refactor SignTxOut remove depends on params & types.Transaction +func SignTxOut(tx types.ScriptTx, idx int, + pkScript []byte, hashType SigHashType, kdb KeyDB, sdb ScriptDB, + previousScript []byte, sigType ecc.EcType) ([]byte, error) { + sigScript, class, addresses, nrequired, err := sign2(tx, + idx, pkScript, hashType, kdb, sdb, sigTypes(sigType)) + if err != nil { + return nil, err + } + // Merge scripts. with any previous data, if any. + mergedScript := mergeScripts2(tx, idx, pkScript, class, + addresses, nrequired, sigScript, previousScript) + return mergedScript, nil +} + +// sign2 (refactor sign) +func sign2(tx types.ScriptTx, idx int, + subScript []byte, hashType SigHashType, kdb KeyDB, sdb ScriptDB, + sigType sigTypes) ([]byte, + ScriptClass, []types.Address, int, error) { + + s, err := ParsePkScript(subScript) + + if err != nil { + return nil, NonStandardTy, nil, 0, err + } + class := s.GetClass() + addresses := s.GetAddresses() + nrequired := 0 + if s.RequiredSigs() { + nrequired = 1 + } + switch class { + case PubKeyTy: + //TODO + case PubkeyAltTy: + //TODO + case PubKeyHashTy: + // look up key for address + key, compressed, err := kdb.GetKey(addresses[0]) + if err != nil { + return nil, class, nil, 0, err + } + + script, err := SignatureScript2(tx, idx, subScript, hashType, + key, compressed) + if err != nil { + return nil, class, nil, 0, err + } + return script, class, addresses, nrequired, nil + case PubkeyHashAltTy: + // TODO + case ScriptHashTy: + // TODO + case MultiSigTy: + // TODO + return nil, class, nil, 0, + fmt.Errorf("NOT support %s transactions", class) + case NullDataTy: + return nil, class, nil, 0, + errors.New("can't sign NULLDATA transactions") + default: + return nil, class, nil, 0, + errors.New("can't sign unknown transactions") + } + //TODO should not go here + return nil, class, nil, 0, + fmt.Errorf("NOT support %s transactions", class) +} + +// SignatureScript2, ( refactor of SignatureScript) +func SignatureScript2(tx types.ScriptTx, idx int, subscript []byte, + hashType SigHashType, privKey ecc.PrivateKey, compress bool) ([]byte, + error) { + sig, err := RawTxInSignature2(tx, idx, subscript, hashType, privKey) + if err != nil { + return nil, err + } + + pubx, puby := privKey.Public() + pub := ecc.Secp256k1.NewPublicKey(pubx, puby) + var pkData []byte + if compress { + pkData = pub.SerializeCompressed() + } else { + pkData = pub.SerializeUncompressed() + } + + return NewScriptBuilder().AddData(sig).AddData(pkData).Script() +} + +// RawTxInSignature2 (refactor of RawTxInSignature) +func RawTxInSignature2(tx types.ScriptTx, idx int, subScript []byte, + hashType SigHashType, key ecc.PrivateKey) ([]byte, error) { + + parsedScript, err := parseScript(subScript) + if err != nil { + return nil, fmt.Errorf("cannot parse output script: %v", err) + } + var h []byte + // TODO, need to abstract SignatureHash calculator, instead of switch by type + switch tx.GetType() { + case types.QitmeerScriptTx: + h, err = calcSignatureHash2(parsedScript, hashType, tx, idx, nil) + } + if err != nil { + return nil, err + } + + r, s, err := ecc.Secp256k1.Sign(key, h) + if err != nil { + return nil, fmt.Errorf("cannot sign tx input: %s", err) + } + sig := ecc.Secp256k1.NewSignature(r, s) + + return append(sig.Serialize(), byte(hashType)), nil +} + +// calcSignatureHash2 (refactor of calcSignatureHash) +// 2 -> normal +func calcSignatureHash2(prevOutScript []ParsedOpcode, hashType SigHashType, txScript types.ScriptTx, idx int, cachedPrefix *hash.Hash) ([]byte, error) { + // TODO, error handling + tx, _ := txScript.(*types.Transaction) + + // The SigHashSingle signature type signs only the corresponding input + // and output (the output with the same index number as the input). + // + // Since transactions can have more inputs than outputs, this means it + // is improper to use SigHashSingle on input indices that don't have a + // corresponding output. + if hashType&sigHashMask == SigHashSingle && idx >= len(tx.TxOut) { + return nil, ErrSighashSingleIdx + } + + // Remove all instances of OP_CODESEPARATOR from the script. + // + // The call to unparseScript cannot fail here because removeOpcode + // only returns a valid script. + prevOutScript = removeOpcode(prevOutScript, OP_CODESEPARATOR) + signScript, _ := unparseScript(prevOutScript) + + // Choose the inputs that will be committed to based on the signature + // hash type. + // + // The SigHashAnyOneCanPay flag specifies that the signature will only + // commit to the input being signed. Otherwise, it will commit to all + // inputs. + txIns := tx.TxIn + signTxInIdx := idx + if hashType&SigHashAnyOneCanPay != 0 { + txIns = tx.TxIn[idx : idx+1] + signTxInIdx = 0 + } + + // The prefix hash commits to the non-witness data depending on the + // signature hash type. In particular, the specific inputs and output + // semantics which are committed to are modified depending on the + // signature hash type as follows: + // + // SigHashAll (and undefined signature hash types): + // Commits to all outputs. + // SigHashNone: + // Commits to no outputs with all input sequences except the input + // being signed replaced with 0. + // SigHashSingle: + // Commits to a single output at the same index as the input being + // signed. All outputs before that index are cleared by setting the + // value to -1 and pkscript to nil and all outputs after that index + // are removed. Like SigHashNone, all input sequences except the + // input being signed are replaced by 0. + // SigHashAnyOneCanPay: + // Commits to only the input being signed. Bit flag that can be + // combined with the other signature hash types. Without this flag + // set, commits to all inputs. + // + // With the relevant inputs and outputs selected and the aforementioned + // substitions, the prefix hash consists of the hash of the + // serialization of the following fields: + // + // 1) txversion|(SigHashSerializePrefix<<16) (as little-endian uint32) + // 2) number of inputs (as varint) + // 3) per input: + // a) prevout hash (as little-endian uint256) + // b) prevout index (as little-endian uint32) + // c) prevout tree (as single byte) + // d) sequence (as little-endian uint32) + // 4) number of outputs (as varint) + // 5) per output: + // a) output amount (as little-endian uint64) + // b) pkscript version (as little-endian uint16) + // c) pkscript length (as varint) + // d) pkscript (as unmodified bytes) + // 6) transaction lock time (as little-endian uint32) + // 7) transaction expiry (as little-endian uint32) + // + // In addition, an optimization for SigHashAll is provided when the + // SigHashAnyOneCanPay flag is not set. In that case, the prefix hash + // can be reused because only the witness data has been modified, so + // the wasteful extra O(N^2) hash can be avoided. + var prefixHash hash.Hash + if params.SigHashOptimization && cachedPrefix != nil && + hashType&sigHashMask == SigHashAll && + hashType&SigHashAnyOneCanPay == 0 { + + prefixHash = *cachedPrefix + } else { + // Choose the outputs to commit to based on the signature hash + // type. + // + // As the names imply, SigHashNone commits to no outputs and + // SigHashSingle commits to the single output that corresponds + // to the input being signed. However, SigHashSingle is also a + // bit special in that it commits to cleared out variants of all + // outputs prior to the one being signed. This is required by + // consensus due to legacy reasons. + // + // All other signature hash types, such as SighHashAll commit to + // all outputs. Note that this includes undefined hash types as well. + txOuts := tx.TxOut + switch hashType & sigHashMask { + case SigHashNone: + txOuts = nil + case SigHashSingle: + txOuts = tx.TxOut[:idx+1] + default: + fallthrough + case SigHashOld: + fallthrough + case SigHashAll: + // Nothing special here. + } + + size := sigHashPrefixSerializeSize(hashType, txIns, txOuts, idx) + prefixBuf := make([]byte, size) + + // Commit to the version and hash serialization type. + version := uint32(tx.Version) | uint32(SigHashSerializePrefix)<<16 + offset := putUint32LE(prefixBuf, version) + + // Commit to the relevant transaction inputs. + offset += putVarInt(prefixBuf[offset:], uint64(len(txIns))) + for txInIdx, txIn := range txIns { + // Commit to the outpoint being spent. + prevOut := &txIn.PreviousOut + offset += copy(prefixBuf[offset:], prevOut.Hash[:]) + offset += putUint32LE(prefixBuf[offset:], prevOut.OutIndex) + + // Commit to the sequence. In the case of SigHashNone + // and SigHashSingle, commit to 0 for everything that is + // not the input being signed instead. + sequence := txIn.Sequence + if (hashType&sigHashMask == SigHashNone || + hashType&sigHashMask == SigHashSingle) && + txInIdx != signTxInIdx { + + sequence = 0 + } + offset += putUint32LE(prefixBuf[offset:], sequence) + } + + // Commit to the relevant transaction outputs. + offset += putVarInt(prefixBuf[offset:], uint64(len(txOuts))) + for txOutIdx, txOut := range txOuts { + // Commit to the output amount, script version, and + // public key script. In the case of SigHashSingle, + // commit to an output amount of -1 and a nil public + // key script for everything that is not the output + // corresponding to the input being signed instead. + coinId := txOut.Amount.Id + value := txOut.Amount.Value + pkScript := txOut.PkScript + if hashType&sigHashMask == SigHashSingle && txOutIdx != idx { + value = 0 + pkScript = nil + } + offset += putUint16LE(prefixBuf[offset:], uint16(coinId)) + offset += putUint64LE(prefixBuf[offset:], uint64(value)) + offset += putVarInt(prefixBuf[offset:], uint64(len(pkScript))) + offset += copy(prefixBuf[offset:], pkScript) + } + + // Commit to the lock time and expiry. + offset += putUint32LE(prefixBuf[offset:], tx.LockTime) + putUint32LE(prefixBuf[offset:], tx.Expire) + + prefixHash = hash.HashH(prefixBuf) + } + + // The witness hash commits to the input witness data depending on + // whether or not the signature hash type has the SigHashAnyOneCanPay + // flag set. In particular the semantics are as follows: + // + // SigHashAnyOneCanPay: + // Commits to only the input being signed. Without this flag set, + // commits to all inputs with the reference scripts cleared by setting + // them to nil. + // + // With the relevant inputs selected, and the aforementioned substitutions, + // the witness hash consists of the hash of the serialization of the + // following fields: + // + // 1) txversion|(SigHashSerializeWitness<<16) (as little-endian uint32) + // 2) number of inputs (as varint) + // 3) per input: + // a) length of prevout pkscript (as varint) + // b) prevout pkscript (as unmodified bytes) + + size := sigHashWitnessSerializeSize(hashType, txIns, signScript) + witnessBuf := make([]byte, size) + + // Commit to the version and hash serialization type. + version := uint32(tx.Version) | uint32(SigHashSerializeWitness)<<16 + offset := putUint32LE(witnessBuf, version) + + // Commit to the relevant transaction inputs. + offset += putVarInt(witnessBuf[offset:], uint64(len(txIns))) + for txInIdx := range txIns { + // Commit to the input script at the index corresponding to the + // input index being signed. Otherwise, commit to a nil script + // instead. + commitScript := signScript + if txInIdx != signTxInIdx { + commitScript = nil + } + offset += putVarInt(witnessBuf[offset:], uint64(len(commitScript))) + offset += copy(witnessBuf[offset:], commitScript) + } + + witnessHash := hash.HashH(witnessBuf) + + // The final signature hash (message to sign) is the hash of the + // serialization of the following fields: + // + // 1) the hash type (as little-endian uint32) + // 2) prefix hash (as produced by hash function) + // 3) witness hash (as produced by hash function) + sigHashBuf := make([]byte, hash.HashSize*2+4) + offset = putUint32LE(sigHashBuf, uint32(hashType)) + offset += copy(sigHashBuf[offset:], prefixHash[:]) + copy(sigHashBuf[offset:], witnessHash[:]) + return hash.HashB(sigHashBuf), nil +} + +/* +func shallowCopyTx(tx types.ScriptTx) (types.Transaction,error){ + txCopy := types.Transaction{ + Version: tx.GetVersion(), + + } + txIns := make([]types.TxInput, len(tx.GetInput())) + for i, oldTxIn := range tx.GetInput() { + in, ok := oldTxIn.(*types.TxInput); + if !ok { + return txCopy, fmt.Errorf("fail to convert %v to TxIN",oldTxIn) + } + txIns[i] = *in + txCopy.TxIn[i] = &txIns[i] + } + txOuts := make([]types.TxOutput, len(tx.GetOutput())) + for i, oldTxOut := range tx.GetOutput() { + out, ok := oldTxOut.(*types.TxOutput) + if !ok { + return txCopy, fmt.Errorf("fail to convert %v to TxOut",oldTxOut) + } + txOuts[i] = *out + txCopy.TxOut[i] = &txOuts[i] + } + return txCopy,nil +} +*/ + +// mergeScripts2 (refactor mergeScript) +func mergeScripts2(tx types.ScriptTx, idx int, + pkScript []byte, class ScriptClass, addresses []types.Address, + nRequired int, sigScript, prevScript []byte) []byte { + + // TODO(oga) the scripthash and multisig paths here are overly + // inefficient in that they will recompute already known data. + // some internal refactoring could probably make this avoid needless + // extra calculations. + switch class { + case ScriptHashTy: + // Remove the last push in the script and then recurse. + // this could be a lot less inefficient. + sigPops, err := parseScript(sigScript) + if err != nil || len(sigPops) == 0 { + return prevScript + } + prevPops, err := parseScript(prevScript) + if err != nil || len(prevPops) == 0 { + return sigScript + } + + // assume that script in sigPops is the correct one, we just + // made it. + script := sigPops[len(sigPops)-1].data + + // We already know this information somewhere up the stack, + // therefore the error is ignored. + s, _ := ParsePkScript(script) + class := s.GetClass() + addresses := s.GetAddresses() + nrequired := 0 + if s.RequiredSigs() { + nrequired = 1 + } + // regenerate scripts. + sigScript, _ := unparseScript(sigPops) + prevScript, _ := unparseScript(prevPops) + + // Merge + mergedScript := mergeScripts2(tx, idx, script, + class, addresses, nrequired, sigScript, prevScript) + + // Reappend the script and return the result. + builder := NewScriptBuilder() + builder.AddOps(mergedScript) + builder.AddData(script) + finalScript, _ := builder.Script() + return finalScript + case MultiSigTy: + return mergeMultiSig2(tx, idx, addresses, nRequired, pkScript, + sigScript, prevScript) + + // It doesn't actually make sense to merge anything other than multiig + // and scripthash (because it could contain multisig). Everything else + // has either zero signature, can't be spent, or has a single signature + // which is either present or not. The other two cases are handled + // above. In the conflict case here we just assume the longest is + // correct (this matches behaviour of the reference implementation). + default: + if len(sigScript) > len(prevScript) { + return sigScript + } + return prevScript + } +} + +// mergeMultiSig2 (refactor of mergeMultiSig) +func mergeMultiSig2(tx types.ScriptTx, idx int, addresses []types.Address, + nRequired int, pkScript, sigScript, prevScript []byte) []byte { + + // This is an internal only function and we already parsed this script + // as ok for multisig (this is how we got here), so if this fails then + // all assumptions are broken and who knows which way is up? + pkPops, _ := parseScript(pkScript) + + sigPops, err := parseScript(sigScript) + if err != nil || len(sigPops) == 0 { + return prevScript + } + + prevPops, err := parseScript(prevScript) + if err != nil || len(prevPops) == 0 { + return sigScript + } + + // Convenience function to avoid duplication. + extractSigs := func(pops []ParsedOpcode, sigs [][]byte) [][]byte { + for _, pop := range pops { + if len(pop.data) != 0 { + sigs = append(sigs, pop.data) + } + } + return sigs + } + + possibleSigs := make([][]byte, 0, len(sigPops)+len(prevPops)) + possibleSigs = extractSigs(sigPops, possibleSigs) + possibleSigs = extractSigs(prevPops, possibleSigs) + + // Now we need to match the signatures to pubkeys, the only real way to + // do that is to try to verify them all and match it to the pubkey + // that verifies it. we then can go through the addresses in order + // to build our script. Anything that doesn't parse or doesn't verify we + // throw away. + addrToSig := make(map[string][]byte) +sigLoop: + for _, sig := range possibleSigs { + + // can't have a valid signature that doesn't at least have a + // hashtype, in practise it is even longer than this. but + // that'll be checked next. + if len(sig) < 1 { + continue + } + tSig := sig[:len(sig)-1] + hashType := SigHashType(sig[len(sig)-1]) + + pSig, err := ecc.Secp256k1.ParseDERSignature(tSig) + if err != nil { + continue + } + + // We have to do this each round since hash types may vary + // between signatures and so the hash will vary. We can, + // however, assume no sigs etc are in the script since that + // would make the transaction nonstandard and thus not + // MultiSigTy, so we just need to hash the full thing. + var h []byte + // TODO, need to abstract SignatureHash calculator, instead of switch by type + switch tx.GetType() { + case types.QitmeerScriptTx: + h, err = calcSignatureHash2(pkPops, hashType, tx, idx, nil) + } + if err != nil { + // is this the right handling for SIGHASH_SINGLE error ? + // make sure this doesn't break anything. + // TODO revisit the SIGHASH_SINGLE design + continue + } + + for _, addr := range addresses { + // All multisig addresses should be pubkey addreses + // it is an error to call this internal function with + // bad input. + pkaddr := addr.(*address.SecpPubKeyAddress) + + pubKey := pkaddr.PubKey() + + // If it matches we put it in the map. We only + // can take one signature per public key so if we + // already have one, we can throw this away. + r := pSig.GetR() + s := pSig.GetS() + if ecc.Secp256k1.Verify(pubKey, h, r, s) { + aStr := addr.Encode() + if _, ok := addrToSig[aStr]; !ok { + addrToSig[aStr] = sig + } + continue sigLoop + } + } + } + + // Extra opcode to handle the extra arg consumed (due to previous bugs + // in the reference implementation). + builder := NewScriptBuilder() //.AddOp(OP_FALSE) + doneSigs := 0 + // This assumes that addresses are in the same order as in the script. + for _, addr := range addresses { + sig, ok := addrToSig[addr.Encode()] + if !ok { + continue + } + builder.AddData(sig) + doneSigs++ + if doneSigs == nRequired { + break + } + } + + // padding for missing ones. + for i := doneSigs; i < nRequired; i++ { + builder.AddOp(OP_0) + } + + script, _ := builder.Script() + return script +} diff --git a/engine/txscript/stack.go b/engine/txscript/stack.go new file mode 100644 index 0000000..366ed65 --- /dev/null +++ b/engine/txscript/stack.go @@ -0,0 +1,350 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import "encoding/hex" + +// asBool gets the boolean value of the byte array. +func asBool(t []byte) bool { + for i := range t { + if t[i] != 0 { + // Negative 0 is also considered false. + if i == len(t)-1 && t[i] == 0x80 { + return false + } + return true + } + } + return false +} + +// fromBool converts a boolean into the appropriate byte array. +func fromBool(v bool) []byte { + if v { + return []byte{1} + } + return nil +} + +// stack represents a stack of immutable objects to be used with the script +// engine. Objects may be shared, therefore in usage if a value is to be +// changed it *must* be deep-copied first to avoid changing other values +// on the stack. +type stack struct { + stk [][]byte + verifyMinimalData bool +} + +// Depth returns the number of items on the stack. +func (s *stack) Depth() int32 { + return int32(len(s.stk)) +} + +// PushByteArray adds the given back array to the top of the stack. +// +// Stack transformation: [... x1 x2] -> [... x1 x2 data] +func (s *stack) PushByteArray(so []byte) { + s.stk = append(s.stk, so) +} + +// PushInt converts the provided scriptNum to a suitable byte array then pushes +// it onto the top of the stack. +// +// Stack transformation: [... x1 x2] -> [... x1 x2 int] +func (s *stack) PushInt(val scriptNum) { + s.PushByteArray(val.Bytes()) +} + +// PushBool converts the provided boolean to a suitable byte array then pushes +// it onto the top of the stack. +// +// Stack transformation: [... x1 x2] -> [... x1 x2 bool] +func (s *stack) PushBool(val bool) { + s.PushByteArray(fromBool(val)) +} + +// PopByteArray pops the value off the top of the stack and returns it. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2] +func (s *stack) PopByteArray() ([]byte, error) { + return s.nipN(0) +} + +// PopInt pops the value off the top of the stack, converts it into a script +// num, and returns it. The act of converting to a script num enforces the +// consensus rules imposed on data interpreted as numbers. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2] +func (s *stack) PopInt(maxLen int) (scriptNum, error) { + so, err := s.PopByteArray() + if err != nil { + return 0, err + } + + return makeScriptNum(so, s.verifyMinimalData, maxLen) +} + +// PopBool pops the value off the top of the stack, converts it into a bool, and +// returns it. +// +// Stack transformation: [... x1 x2 x3] -> [... x1 x2] +func (s *stack) PopBool() (bool, error) { + so, err := s.PopByteArray() + if err != nil { + return false, err + } + + return asBool(so), nil +} + +// PeekByteArray returns the Nth item on the stack without removing it. +func (s *stack) PeekByteArray(idx int32) ([]byte, error) { + sz := int32(len(s.stk)) + if idx < 0 || idx >= sz { + return nil, ErrStackUnderflow + } + + return s.stk[sz-idx-1], nil +} + +// PeekInt returns the Nth item on the stack as a script num without removing +// it. The act of converting to a script num enforces the consensus rules +// imposed on data interpreted as numbers. +func (s *stack) PeekInt(idx int32) (scriptNum, error) { + so, err := s.PeekByteArray(idx) + if err != nil { + return 0, err + } + + return makeScriptNum(so, s.verifyMinimalData, mathOpCodeMaxScriptNumLen) +} + +// PeekBool returns the Nth item on the stack as a bool without removing it. +func (s *stack) PeekBool(idx int32) (bool, error) { + so, err := s.PeekByteArray(idx) + if err != nil { + return false, err + } + + return asBool(so), nil +} + +// nipN is an internal function that removes the nth item on the stack and +// returns it. +// +// Stack transformation: +// nipN(0): [... x1 x2 x3] -> [... x1 x2] +// nipN(1): [... x1 x2 x3] -> [... x1 x3] +// nipN(2): [... x1 x2 x3] -> [... x2 x3] +func (s *stack) nipN(idx int32) ([]byte, error) { + sz := int32(len(s.stk)) + if idx < 0 || idx > sz-1 { + return nil, ErrStackUnderflow + } + + so := s.stk[sz-idx-1] + if idx == 0 { + s.stk = s.stk[:sz-1] + } else if idx == sz-1 { + s1 := make([][]byte, sz-1) + copy(s1, s.stk[1:]) + s.stk = s1 + } else { + s1 := s.stk[sz-idx : sz] + s.stk = s.stk[:sz-idx-1] + s.stk = append(s.stk, s1...) + } + return so, nil +} + +// NipN removes the Nth object on the stack +// +// Stack transformation: +// NipN(0): [... x1 x2 x3] -> [... x1 x2] +// NipN(1): [... x1 x2 x3] -> [... x1 x3] +// NipN(2): [... x1 x2 x3] -> [... x2 x3] +func (s *stack) NipN(idx int32) error { + _, err := s.nipN(idx) + return err +} + +// Tuck copies the item at the top of the stack and inserts it before the 2nd +// to top item. +// +// Stack transformation: [... x1 x2] -> [... x2 x1 x2] +func (s *stack) Tuck() error { + so2, err := s.PopByteArray() + if err != nil { + return err + } + so1, err := s.PopByteArray() + if err != nil { + return err + } + s.PushByteArray(so2) // stack [... x2] + s.PushByteArray(so1) // stack [... x2 x1] + s.PushByteArray(so2) // stack [... x2 x1 x2] + + return nil +} + +// DropN removes the top N items from the stack. +// +// Stack transformation: +// DropN(1): [... x1 x2] -> [... x1] +// DropN(2): [... x1 x2] -> [...] +func (s *stack) DropN(n int32) error { + if n < 1 { + return ErrStackInvalidArgs + } + + for ; n > 0; n-- { + _, err := s.PopByteArray() + if err != nil { + return err + } + } + return nil +} + +// DupN duplicates the top N items on the stack. +// +// Stack transformation: +// DupN(1): [... x1 x2] -> [... x1 x2 x2] +// DupN(2): [... x1 x2] -> [... x1 x2 x1 x2] +func (s *stack) DupN(n int32) error { + if n < 1 { + return ErrStackInvalidArgs + } + + // Iteratively duplicate the value n-1 down the stack n times. + // This leaves an in-order duplicate of the top n items on the stack. + for i := n; i > 0; i-- { + so, err := s.PeekByteArray(n - 1) + if err != nil { + return err + } + s.PushByteArray(so) + } + return nil +} + +// RotN rotates the top 3N items on the stack to the left N times. +// +// Stack transformation: +// RotN(1): [... x1 x2 x3] -> [... x2 x3 x1] +// RotN(2): [... x1 x2 x3 x4 x5 x6] -> [... x3 x4 x5 x6 x1 x2] +func (s *stack) RotN(n int32) error { + if n < 1 { + return ErrStackInvalidArgs + } + + // Nip the 3n-1th item from the stack to the top n times to rotate + // them up to the head of the stack. + entry := 3*n - 1 + for i := n; i > 0; i-- { + so, err := s.nipN(entry) + if err != nil { + return err + } + + s.PushByteArray(so) + } + return nil +} + +// SwapN swaps the top N items on the stack with those below them. +// +// Stack transformation: +// SwapN(1): [... x1 x2] -> [... x2 x1] +// SwapN(2): [... x1 x2 x3 x4] -> [... x3 x4 x1 x2] +func (s *stack) SwapN(n int32) error { + if n < 1 { + return ErrStackInvalidArgs + } + + entry := 2*n - 1 + for i := n; i > 0; i-- { + // Swap 2n-1th entry to top. + so, err := s.nipN(entry) + if err != nil { + return err + } + + s.PushByteArray(so) + } + return nil +} + +// OverN copies N items N items back to the top of the stack. +// +// Stack transformation: +// OverN(1): [... x1 x2 x3] -> [... x1 x2 x3 x2] +// OverN(2): [... x1 x2 x3 x4] -> [... x1 x2 x3 x4 x1 x2] +func (s *stack) OverN(n int32) error { + if n < 1 { + return ErrStackInvalidArgs + } + + // Copy 2n-1th entry to top of the stack. + entry := 2*n - 1 + for ; n > 0; n-- { + so, err := s.PeekByteArray(entry) + if err != nil { + return err + } + s.PushByteArray(so) + } + + return nil +} + +// PickN copies the item N items back in the stack to the top. +// +// Stack transformation: +// PickN(0): [x1 x2 x3] -> [x1 x2 x3 x3] +// PickN(1): [x1 x2 x3] -> [x1 x2 x3 x2] +// PickN(2): [x1 x2 x3] -> [x1 x2 x3 x1] +func (s *stack) PickN(n int32) error { + so, err := s.PeekByteArray(n) + if err != nil { + return err + } + s.PushByteArray(so) + + return nil +} + +// RollN moves the item N items back in the stack to the top. +// +// Stack transformation: +// RollN(0): [x1 x2 x3] -> [x1 x2 x3] +// RollN(1): [x1 x2 x3] -> [x1 x3 x2] +// RollN(2): [x1 x2 x3] -> [x2 x3 x1] +func (s *stack) RollN(n int32) error { + so, err := s.nipN(n) + if err != nil { + return err + } + + s.PushByteArray(so) + + return nil +} + +// String returns the stack in a readable format. +func (s *stack) String() string { + var result string + for _, stack := range s.stk { + if len(stack) == 0 { + result += "00000000 \n" + } + result += hex.Dump(stack) + } + + return result +} diff --git a/engine/txscript/standard.go b/engine/txscript/standard.go new file mode 100644 index 0000000..0ad1a04 --- /dev/null +++ b/engine/txscript/standard.go @@ -0,0 +1,1566 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2015 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package txscript + +import ( + "encoding/binary" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/address" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/params" +) + +const ( + // MaxDataCarrierSize is the maximum number of bytes allowed in pushed + // data to be considered a nulldata transaction. + MaxDataCarrierSize = 256 +) + +// ScriptClass is an enumeration for the list of standard types of script. +type ScriptClass byte + +// Classes of script payment known about in the blockchain. +const ( + NonStandardTy ScriptClass = iota // None of the recognized forms. + PubKeyTy // Pay pubkey. + PubKeyHashTy // Pay pubkey hash. + ScriptHashTy // Pay to script hash. + MultiSigTy // Multi signature. + NullDataTy // Empty data-only (provably prunable). + StakeSubmissionTy // Stake submission. + StakeGenTy // Stake generation + StakeRevocationTy // Stake revocation. + StakeSubChangeTy // Change for stake submission tx. + PubkeyAltTy // Alternative signature pubkey. + PubkeyHashAltTy // Alternative signature pubkey hash. + CLTVPubKeyHashTy // Check Lock Time Verify Pay pubkey hash. + TokenPubKeyHashTy // Token Pay pubkey hash. +) + +// Script Interface provide a abstract layer to support new Script parsing from opcode +type Script interface { + GetClass() ScriptClass + Match(pops []ParsedOpcode) bool + SetOpcode(pops []ParsedOpcode) error + GetAddresses() []types.Address + RequiredSigs() bool +} + +// The registry where the add-on script been registered +var scriptRegistry = map[ScriptClass]Script{ + NonStandardTy: &NonStandardScript{}, + TokenPubKeyHashTy: &TokenScript{}, +} + +func fromRegisteredScript(pops []ParsedOpcode) Script { + for _, s := range scriptRegistry { + if s.Match(pops) { + s.SetOpcode(pops) + return s + } + } + return &NonStandardScript{} +} + +// Register Script into the registry, which can be parsed from the outside of txscript engine +func RegisterScript(sin Script) error { + for _, s := range scriptRegistry { + if s.GetClass() == sin.GetClass() { + return fmt.Errorf("%v has been registred as script %v ", sin, s) + } + } + scriptRegistry[sin.GetClass()] = sin + return nil +} + +// ParsePkScript returns a parsed Script from the Script registry, which's addresses and +// required signatures are associated with. Note: It's methold only works for the +// registered Script +func ParsePkScript(pkScript []byte) (Script, error) { + pops, err := parseScript(pkScript) + if err != nil { + return nil, err + } + return fromRegisteredScript(pops), nil +} + +type NonStandardScript struct{} + +func (s *NonStandardScript) Name() string { + return scriptClassToName[NonStandardTy] +} +func (s *NonStandardScript) GetClass() ScriptClass { + return NonStandardTy +} +func (s *NonStandardScript) Match(pops []ParsedOpcode) bool { + return false +} +func (s *NonStandardScript) SetOpcode(pops []ParsedOpcode) error { + return nil +} +func (s *NonStandardScript) GetAddresses() []types.Address { + return []types.Address{} +} +func (s *NonStandardScript) RequiredSigs() bool { + return true +} + +var _ Script = (*NonStandardScript)(nil) + +// scriptClassToName houses the human-readable strings which describe each +// script class. +var scriptClassToName = []string{ + NonStandardTy: "nonstandard", + PubKeyTy: "pubkey", + PubkeyAltTy: "pubkeyalt", + PubKeyHashTy: "pubkeyhash", + PubkeyHashAltTy: "pubkeyhashalt", + ScriptHashTy: "scripthash", + MultiSigTy: "multisig", + NullDataTy: "nulldata", + StakeSubmissionTy: "stakesubmission", + StakeGenTy: "stakegen", + StakeRevocationTy: "stakerevoke", + StakeSubChangeTy: "sstxchange", + CLTVPubKeyHashTy: "cltvpubkeyhash", + TokenPubKeyHashTy: "tokenpubkeyhash", +} + +// String implements the Stringer interface by returning the name of +// the enum script class. If the enum is invalid then "Invalid" will be +// returned. +func (t ScriptClass) String() string { + if int(t) > len(scriptClassToName) || int(t) < 0 { + return "Invalid" + } + return scriptClassToName[t] +} + +// isPubkey returns true if the script passed is a pay-to-pubkey transaction, +// false otherwise. +func isPubkey(pops []ParsedOpcode) bool { + // Valid pubkeys are either 33 or 65 bytes. + return len(pops) == 2 && + (len(pops[0].data) == 33 || len(pops[0].data) == 65) && + pops[1].opcode.value == OP_CHECKSIG +} + +// isOneByteMaxDataPush returns true if the parsed opcode pushes exactly one +// byte to the stack. +func isOneByteMaxDataPush(po ParsedOpcode) bool { + return po.opcode.value == OP_1 || + po.opcode.value == OP_2 || + po.opcode.value == OP_3 || + po.opcode.value == OP_4 || + po.opcode.value == OP_5 || + po.opcode.value == OP_6 || + po.opcode.value == OP_7 || + po.opcode.value == OP_8 || + po.opcode.value == OP_9 || + po.opcode.value == OP_10 || + po.opcode.value == OP_11 || + po.opcode.value == OP_12 || + po.opcode.value == OP_13 || + po.opcode.value == OP_14 || + po.opcode.value == OP_15 || + po.opcode.value == OP_16 || + po.opcode.value == OP_DATA_1 +} + +// isPubkey returns true if the script passed is an alternative pay-to-pubkey +// transaction, false otherwise. +func isPubkeyAlt(pops []ParsedOpcode) bool { + // An alternative pubkey must be less than 512 bytes. + return len(pops) == 3 && + len(pops[0].data) < 512 && + isOneByteMaxDataPush(pops[1]) && + pops[2].opcode.value == OP_CHECKSIGALT +} + +// isPubkeyHash returns true if the script passed is a pay-to-pubkey-hash +// transaction, false otherwise. +func isPubkeyHash(pops []ParsedOpcode) bool { + return len(pops) == 5 && + pops[0].opcode.value == OP_DUP && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUALVERIFY && + pops[4].opcode.value == OP_CHECKSIG +} + +// isPubkeyHashAlt returns true if the script passed is a pay-to-pubkey-hash +// transaction, false otherwise. +func isPubkeyHashAlt(pops []ParsedOpcode) bool { + return len(pops) == 6 && + pops[0].opcode.value == OP_DUP && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUALVERIFY && + isOneByteMaxDataPush(pops[4]) && + pops[5].opcode.value == OP_CHECKSIGALT +} + +// isScriptHash returns true if the script passed is a pay-to-script-hash +// transaction, false otherwise. +func isScriptHash(pops []ParsedOpcode) bool { + return len(pops) == 3 && + pops[0].opcode.value == OP_HASH160 && + pops[1].opcode.value == OP_DATA_20 && + pops[2].opcode.value == OP_EQUAL +} + +// isAnyKindOfScriptHash returns true if the script passed is a pay-to-script-hash +// or stake pay-to-script-hash transaction, false otherwise. Used to make the +// engine have the correct behaviour. +func isAnyKindOfScriptHash(pops []ParsedOpcode) bool { + standardP2SH := len(pops) == 3 && + pops[0].opcode.value == OP_HASH160 && + pops[1].opcode.value == OP_DATA_20 && + pops[2].opcode.value == OP_EQUAL + if standardP2SH { + return true + } + + return len(pops) == 4 && + (pops[0].opcode.value >= 186 && pops[0].opcode.value <= 189) && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUAL +} + +// isMultiSig returns true if the passed script is a multisig transaction, false +// otherwise. +func isMultiSig(pops []ParsedOpcode) bool { + // The absolute minimum is 1 pubkey: + // OP_0/OP_1-16 OP_1 OP_CHECKMULTISIG + l := len(pops) + if l < 4 { + return false + } + if !isSmallInt(pops[0].opcode) { + return false + } + if !isSmallInt(pops[l-2].opcode) { + return false + } + if pops[l-1].opcode.value != OP_CHECKMULTISIG { + return false + } + + // Verify the number of pubkeys specified matches the actual number + // of pubkeys provided. + if l-2-1 != asSmallInt(pops[l-2].opcode) { + return false + } + + for _, pop := range pops[1 : l-2] { + // Valid pubkeys are either 33 or 65 bytes. + if len(pop.data) != 33 && len(pop.data) != 65 { + return false + } + } + return true +} + +// IsMultisigScript takes a script, parses it, then returns whether or +// not it is a multisignature script. +func IsMultisigScript(script []byte) (bool, error) { + pops, err := parseScript(script) + if err != nil { + return false, err + } + return isMultiSig(pops), nil +} + +// IsMultisigSigScript takes a script, parses it, then returns whether or +// not it is a multisignature script. +func IsMultisigSigScript(script []byte) bool { + if len(script) == 0 || script == nil { + return false + } + pops, err := parseScript(script) + if err != nil { + return false + } + subPops, err := parseScript(pops[len(pops)-1].data) + if err != nil { + return false + } + + return isMultiSig(subPops) +} + +// isNullData returns true if the passed script is a null data transaction, +// false otherwise. +func isNullData(pops []ParsedOpcode) bool { + // A nulldata transaction is either a single OP_RETURN or an + // OP_RETURN SMALLDATA (where SMALLDATA is a data push up to + // MaxDataCarrierSize bytes). + l := len(pops) + if l == 1 && pops[0].opcode.value == OP_RETURN { + return true + } + + return l == 2 && + pops[0].opcode.value == OP_RETURN && + (isSmallInt(pops[1].opcode) || pops[1].opcode.value <= + OP_PUSHDATA4) && + len(pops[1].data) <= MaxDataCarrierSize +} + +// isStakeSubmission returns true if the script passed is a stake submission tx, +// false otherwise. +func isStakeSubmission(pops []ParsedOpcode) bool { + if len(pops) == 6 && + pops[0].opcode.value == OP_SSTX && + pops[1].opcode.value == OP_DUP && + pops[2].opcode.value == OP_HASH160 && + pops[3].opcode.value == OP_DATA_20 && + pops[4].opcode.value == OP_EQUALVERIFY && + pops[5].opcode.value == OP_CHECKSIG { + return true + } + + if len(pops) == 4 && + pops[0].opcode.value == OP_SSTX && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUAL { + return true + } + + return false +} + +// isStakeGen returns true if the script passed is a stake generation tx, +// false otherwise. +func isStakeGen(pops []ParsedOpcode) bool { + if len(pops) == 6 && + pops[0].opcode.value == OP_SSGEN && + pops[1].opcode.value == OP_DUP && + pops[2].opcode.value == OP_HASH160 && + pops[3].opcode.value == OP_DATA_20 && + pops[4].opcode.value == OP_EQUALVERIFY && + pops[5].opcode.value == OP_CHECKSIG { + return true + } + + if len(pops) == 4 && + pops[0].opcode.value == OP_SSGEN && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUAL { + return true + } + + return false +} + +// isStakeRevocation returns true if the script passed is a stake submission +// revocation tx, false otherwise. +func isStakeRevocation(pops []ParsedOpcode) bool { + if len(pops) == 6 && + pops[0].opcode.value == OP_SSRTX && + pops[1].opcode.value == OP_DUP && + pops[2].opcode.value == OP_HASH160 && + pops[3].opcode.value == OP_DATA_20 && + pops[4].opcode.value == OP_EQUALVERIFY && + pops[5].opcode.value == OP_CHECKSIG { + return true + } + + if len(pops) == 4 && + pops[0].opcode.value == OP_SSRTX && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUAL { + return true + } + + return false +} + +// isSStxChange returns true if the script passed is a stake submission +// change tx, false otherwise. +func isSStxChange(pops []ParsedOpcode) bool { + if len(pops) == 6 && + pops[0].opcode.value == OP_SSTXCHANGE && + pops[1].opcode.value == OP_DUP && + pops[2].opcode.value == OP_HASH160 && + pops[3].opcode.value == OP_DATA_20 && + pops[4].opcode.value == OP_EQUALVERIFY && + pops[5].opcode.value == OP_CHECKSIG { + return true + } + + if len(pops) == 4 && + pops[0].opcode.value == OP_SSTXCHANGE && + pops[1].opcode.value == OP_HASH160 && + pops[2].opcode.value == OP_DATA_20 && + pops[3].opcode.value == OP_EQUAL { + return true + } + + return false +} + +// isCLTVPubkeyHash returns true if the script passed is a pay-to-cltv-pubkey-hash +// transaction, false otherwise. +func isCLTVPubkeyHash(pops []ParsedOpcode) bool { + return len(pops) == 8 && + pops[1].opcode.value == OP_CHECKLOCKTIMEVERIFY && + pops[2].opcode.value == OP_DROP && + pops[3].opcode.value == OP_DUP && + pops[4].opcode.value == OP_HASH160 && + pops[5].opcode.value == OP_DATA_20 && + pops[6].opcode.value == OP_EQUALVERIFY && + pops[7].opcode.value == OP_CHECKSIG +} + +// isTokenPubkeyHash returns true if the script passed is a pay-to-token-pubkey-hash +// transaction, false otherwise. +func isTokenPubkeyHash(pops []ParsedOpcode) bool { + return len(pops) == 12 && + pops[4].opcode.value == OP_TOKEN && + pops[5].opcode.value == OP_2DROP && + pops[6].opcode.value == OP_2DROP && + pops[7].opcode.value == OP_DUP && + pops[8].opcode.value == OP_HASH160 && + pops[9].opcode.value == OP_DATA_20 && + pops[10].opcode.value == OP_EQUALVERIFY && + pops[11].opcode.value == OP_CHECKSIG +} + +// scriptType returns the type of the script being inspected from the known +// standard types. +func typeOfScript(pops []ParsedOpcode) ScriptClass { + if isPubkey(pops) { + return PubKeyTy + } else if isPubkeyAlt(pops) { + return PubkeyAltTy + } else if isPubkeyHash(pops) { + return PubKeyHashTy + } else if isPubkeyHashAlt(pops) { + return PubkeyHashAltTy + } else if isScriptHash(pops) { + return ScriptHashTy + } else if isMultiSig(pops) { + return MultiSigTy + } else if isNullData(pops) { + return NullDataTy + } else if isStakeSubmission(pops) { + return StakeSubmissionTy + } else if isStakeGen(pops) { + return StakeGenTy + } else if isStakeRevocation(pops) { + return StakeRevocationTy + } else if isSStxChange(pops) { + return StakeSubChangeTy + } else if isCLTVPubkeyHash(pops) { + return CLTVPubKeyHashTy + } else if isTokenPubkeyHash(pops) { + return TokenPubKeyHashTy + } + + return NonStandardTy +} + +// GetScriptClass returns the class of the script passed. +// +// NonStandardTy will be returned when the script does not parse. +func GetScriptClass(version uint16, script []byte) ScriptClass { + // NullDataTy outputs are allowed to have non-default script + // versions. However, other types are not. + if version != DefaultScriptVersion { + return NonStandardTy + } + + pops, err := parseScript(script) + if err != nil { + log.Error("parseScript error", "script", fmt.Sprintf("%x", script)) + return NonStandardTy + } + + return typeOfScript(pops) +} + +// expectedInputs returns the number of arguments required by a script. +// If the script is of unknown type such that the number can not be determined +// then -1 is returned. We are an internal function and thus assume that class +// is the real class of pops (and we can thus assume things that were determined +// while finding out the type). +func expectedInputs(pops []ParsedOpcode, class ScriptClass, + subclass ScriptClass) int { + switch class { + case PubKeyTy: + return 1 + + case PubKeyHashTy: + return 2 + + case StakeSubmissionTy: + if subclass == PubKeyHashTy { + return 2 + } + return 1 // P2SH + + case StakeGenTy: + if subclass == PubKeyHashTy { + return 2 + } + return 1 // P2SH + + case StakeRevocationTy: + if subclass == PubKeyHashTy { + return 2 + } + return 1 // P2SH + + case StakeSubChangeTy: + if subclass == PubKeyHashTy { + return 2 + } + return 1 // P2SH + + case ScriptHashTy: + // Not including script, handled below. + return 1 + + case MultiSigTy: + // Standard multisig has a push a small number for the number + // of sigs and number of keys. Check the first push instruction + // to see how many arguments are expected. typeOfScript already + // checked this so we know it'll be a small int. Also, due to + // the original bitcoind bug where OP_CHECKMULTISIG pops an + // additional item from the stack, add an extra expected input + // for the extra push that is required to compensate. + return asSmallInt(pops[0].opcode) + + case NullDataTy: + fallthrough + default: + return -1 + } +} + +// ScriptInfo houses information about a script pair that is determined by +// CalcScriptInfo. +type ScriptInfo struct { + // PkScriptClass is the class of the public key script and is equivalent + // to calling GetScriptClass on it. + PkScriptClass ScriptClass + + // NumInputs is the number of inputs provided by the public key script. + NumInputs int + + // ExpectedInputs is the number of outputs required by the signature + // script and any pay-to-script-hash scripts. The number will be -1 if + // unknown. + ExpectedInputs int + + // SigOps is the number of signature operations in the script pair. + SigOps int +} + +// IsStakeOutput returns true is a script output is a stake type. +func IsStakeOutput(pkScript []byte) bool { + pkPops, err := parseScript(pkScript) + if err != nil { + return false + } + + class := typeOfScript(pkPops) + return class == StakeSubmissionTy || + class == StakeGenTy || + class == StakeRevocationTy || + class == StakeSubChangeTy +} + +// GetStakeOutSubclass extracts the subclass (P2PKH or P2SH) +// from a stake output. +func GetStakeOutSubclass(pkScript []byte) (ScriptClass, error) { + pkPops, err := parseScript(pkScript) + if err != nil { + return 0, err + } + + class := typeOfScript(pkPops) + isStake := class == StakeSubmissionTy || + class == StakeGenTy || + class == StakeRevocationTy || + class == StakeSubChangeTy + + subClass := ScriptClass(0) + if isStake { + var stakeSubscript []ParsedOpcode + for _, pop := range pkPops { + if pop.opcode.value >= 186 && pop.opcode.value <= 189 { + continue + } + stakeSubscript = append(stakeSubscript, pop) + } + + subClass = typeOfScript(stakeSubscript) + } else { + return 0, fmt.Errorf("not a stake output") + } + + return subClass, nil +} + +// getStakeOutSubscript extracts the subscript (P2PKH or P2SH) +// from a stake output. +func getStakeOutSubscript(pkScript []byte) []byte { + return pkScript[1:] +} + +// ContainsStakeOpCodes returns whether or not a pkScript contains stake tagging +// OP codes. +func ContainsStakeOpCodes(pkScript []byte) (bool, error) { + shPops, err := parseScript(pkScript) + if err != nil { + return false, err + } + + for _, pop := range shPops { + if pop.opcode.value >= 186 && pop.opcode.value <= 189 { + return true, nil + } + } + + return false, nil +} + +// CalcScriptInfo returns a structure providing data about the provided script +// pair. It will error if the pair is in someway invalid such that they can not +// be analysed, i.e. if they do not parse or the pkScript is not a push-only +// script +func CalcScriptInfo(sigScript, pkScript []byte, bip16 bool) (*ScriptInfo, error) { + sigPops, err := parseScript(sigScript) + if err != nil { + return nil, err + } + + pkPops, err := parseScript(pkScript) + if err != nil { + return nil, err + } + + // Push only sigScript makes little sense. + si := new(ScriptInfo) + si.PkScriptClass = typeOfScript(pkPops) + + // Can't have a pkScript that doesn't just push data. + if !isPushOnly(sigPops) { + return nil, ErrStackNonPushOnly + } + + subClass := ScriptClass(0) + if si.PkScriptClass == StakeSubmissionTy || + si.PkScriptClass == StakeGenTy || + si.PkScriptClass == StakeRevocationTy || + si.PkScriptClass == StakeSubChangeTy { + subClass, err = GetStakeOutSubclass(pkScript) + if err != nil { + return nil, err + } + } + + si.ExpectedInputs = expectedInputs(pkPops, si.PkScriptClass, subClass) + + // All entries pushed to stack (or are OP_RESERVED and exec will fail). + si.NumInputs = len(sigPops) + + // Count sigops taking into account pay-to-script-hash. + if (si.PkScriptClass == ScriptHashTy || subClass == ScriptHashTy) && bip16 { + // The pay-to-hash-script is the final data push of the + // signature script. + script := sigPops[len(sigPops)-1].data + shPops, err := parseScript(script) + if err != nil { + return nil, err + } + + shInputs := expectedInputs(shPops, typeOfScript(shPops), 0) + if shInputs == -1 { + si.ExpectedInputs = -1 + } else { + si.ExpectedInputs += shInputs + } + si.SigOps = getSigOpCount(shPops, true) + } else { + si.SigOps = getSigOpCount(pkPops, true) + } + + return si, nil +} + +// CalcMultiSigStats returns the number of public keys and signatures from +// a multi-signature transaction script. The passed script MUST already be +// known to be a multi-signature script. +func CalcMultiSigStats(script []byte) (int, int, error) { + pops, err := parseScript(script) + if err != nil { + return 0, 0, err + } + + // A multi-signature script is of the pattern: + // NUM_SIGS PUBKEY PUBKEY PUBKEY... NUM_PUBKEYS OP_CHECKMULTISIG + // Therefore the number of signatures is the oldest item on the stack + // and the number of pubkeys is the 2nd to last. Also, the absolute + // minimum for a multi-signature script is 1 pubkey, so at least 4 + // items must be on the stack per: + // OP_1 PUBKEY OP_1 OP_CHECKMULTISIG + if len(pops) < 4 { + return 0, 0, ErrStackUnderflow + } + + numSigs := asSmallInt(pops[0].opcode) + numPubKeys := asSmallInt(pops[len(pops)-2].opcode) + return numPubKeys, numSigs, nil +} + +// MultisigRedeemScriptFromScriptSig attempts to extract a multi- +// signature redeem script from a P2SH-redeeming input. It returns +// nil if the signature script is not a multisignature script. +func MultisigRedeemScriptFromScriptSig(script []byte) ([]byte, error) { + pops, err := parseScript(script) + if err != nil { + return nil, err + } + + // The redeemScript is always the last item on the stack of + // the script sig. + return pops[len(pops)-1].data, nil +} + +// payToPubKeyHashScript creates a new script to pay a transaction +// output to a 20-byte pubkey hash. It is expected that the input is a valid +// hash. +func payToPubKeyHashScript(pubKeyHash []byte) ([]byte, error) { + return NewScriptBuilder().AddOp(OP_DUP).AddOp(OP_HASH160). + AddData(pubKeyHash).AddOp(OP_EQUALVERIFY).AddOp(OP_CHECKSIG). + Script() +} + +// payToPubKeyHashEdwardsScript creates a new script to pay a transaction +// output to a 20-byte pubkey hash of an Edwards public key. It is expected +// that the input is a valid hash. +func payToPubKeyHashEdwardsScript(pubKeyHash []byte) ([]byte, error) { + edwardsData := []byte{byte(edwards)} + return NewScriptBuilder().AddOp(OP_DUP).AddOp(OP_HASH160). + AddData(pubKeyHash).AddOp(OP_EQUALVERIFY).AddData(edwardsData). + AddOp(OP_CHECKSIGALT).Script() +} + +// payToPubKeyHashSchnorrScript creates a new script to pay a transaction +// output to a 20-byte pubkey hash of a secp256k1 public key, but expecting +// a schnorr signature instead of a classic secp256k1 signature. It is +// expected that the input is a valid hash. +func payToPubKeyHashSchnorrScript(pubKeyHash []byte) ([]byte, error) { + schnorrData := []byte{byte(secSchnorr)} + return NewScriptBuilder().AddOp(OP_DUP).AddOp(OP_HASH160). + AddData(pubKeyHash).AddOp(OP_EQUALVERIFY).AddData(schnorrData). + AddOp(OP_CHECKSIGALT).Script() +} + +// payToScriptHashScript creates a new script to pay a transaction output to a +// script hash. It is expected that the input is a valid hash. +func payToScriptHashScript(scriptHash []byte) ([]byte, error) { + return NewScriptBuilder().AddOp(OP_HASH160).AddData(scriptHash). + AddOp(OP_EQUAL).Script() +} + +// GetScriptHashFromP2SHScript extracts the script hash from a valid +// P2SH pkScript. +func GetScriptHashFromP2SHScript(pkScript []byte) ([]byte, error) { + pops, err := parseScript(pkScript) + if err != nil { + return nil, err + } + + var sh []byte + reachedHash160DataPush := false + for _, p := range pops { + if p.opcode.value == OP_HASH160 { + reachedHash160DataPush = true + continue + } + if reachedHash160DataPush { + sh = p.data + break + } + } + + return sh, nil +} + +// PayToScriptHashScript is the exported version of payToScriptHashScript. +func PayToScriptHashScript(scriptHash []byte) ([]byte, error) { + return payToScriptHashScript(scriptHash) +} + +// payToPubkeyScript creates a new script to pay a transaction output to a +// public key. It is expected that the input is a valid pubkey. +func payToPubKeyScript(serializedPubKey []byte) ([]byte, error) { + return NewScriptBuilder().AddData(serializedPubKey). + AddOp(OP_CHECKSIG).Script() +} + +// payToEdwardsPubKeyScript creates a new script to pay a transaction output +// to an Ed25519 public key. It is expected that the input is a valid pubkey. +func payToEdwardsPubKeyScript(serializedPubKey []byte) ([]byte, error) { + edwardsData := []byte{byte(edwards)} + return NewScriptBuilder().AddData(serializedPubKey).AddData(edwardsData). + AddOp(OP_CHECKSIGALT).Script() +} + +// payToSchnorrPubKeyScript creates a new script to pay a transaction output +// to a secp256k1 public key, but to be signed by Schnorr type signature. It +// is expected that the input is a valid pubkey. +func payToSchnorrPubKeyScript(serializedPubKey []byte) ([]byte, error) { + schnorrData := []byte{byte(secSchnorr)} + return NewScriptBuilder().AddData(serializedPubKey).AddData(schnorrData). + AddOp(OP_CHECKSIGALT).Script() +} + +// PayToSStx creates a new script to pay a transaction output to a script hash or +// public key hash, but tags the output with OP_SSTX. For use in constructing +// valid SStxs. +func PayToSStx(addr types.Address) ([]byte, error) { + if addr == nil { + return nil, ErrUnsupportedAddress + } + + // Only pay to pubkey hash and pay to script hash are + // supported. + scriptType := PubKeyHashTy + switch addr := addr.(type) { + case *address.PubKeyHashAddress: + if addr.EcType() != ecc.ECDSA_Secp256k1 { + return nil, ErrUnsupportedAddress + } + case *address.ScriptHashAddress: + scriptType = ScriptHashTy + default: + return nil, ErrUnsupportedAddress + } + + hash := addr.Script() + + if scriptType == PubKeyHashTy { + return NewScriptBuilder().AddOp(OP_SSTX).AddOp(OP_DUP). + AddOp(OP_HASH160).AddData(hash).AddOp(OP_EQUALVERIFY). + AddOp(OP_CHECKSIG).Script() + } + return NewScriptBuilder().AddOp(OP_SSTX).AddOp(OP_HASH160). + AddData(hash).AddOp(OP_EQUAL).Script() +} + +// PayToSStxChange creates a new script to pay a transaction output to a +// public key hash, but tags the output with OP_SSTXCHANGE. For use in constructing +// valid SStxs. +func PayToSStxChange(addr types.Address) ([]byte, error) { + if addr == nil { + return nil, ErrUnsupportedAddress + } + + // Only pay to pubkey hash and pay to script hash are + // supported. + scriptType := PubKeyHashTy + switch addr := addr.(type) { + case *address.PubKeyHashAddress: + if addr.EcType() != ecc.ECDSA_Secp256k1 { + return nil, ErrUnsupportedAddress + } + case *address.ScriptHashAddress: + scriptType = ScriptHashTy + default: + return nil, ErrUnsupportedAddress + } + + h := addr.Script() + + if scriptType == PubKeyHashTy { + return NewScriptBuilder().AddOp(OP_SSTXCHANGE).AddOp(OP_DUP). + AddOp(OP_HASH160).AddData(h).AddOp(OP_EQUALVERIFY). + AddOp(OP_CHECKSIG).Script() + } + return NewScriptBuilder().AddOp(OP_SSTXCHANGE).AddOp(OP_HASH160). + AddData(h).AddOp(OP_EQUAL).Script() +} + +// PayToSSGen creates a new script to pay a transaction output to a public key +// hash or script hash, but tags the output with OP_SSGEN. For use in constructing +// valid SSGen txs. +func PayToSSGen(addr types.Address) ([]byte, error) { + if addr == nil { + return nil, ErrUnsupportedAddress + } + + // Only pay to pubkey hash and pay to script hash are + // supported. + scriptType := PubKeyHashTy + switch addr := addr.(type) { + case *address.PubKeyHashAddress: + if addr.EcType() != ecc.ECDSA_Secp256k1 { + return nil, ErrUnsupportedAddress + } + case *address.ScriptHashAddress: + scriptType = ScriptHashTy + default: + return nil, ErrUnsupportedAddress + } + + h := addr.Script() + + if scriptType == PubKeyHashTy { + return NewScriptBuilder().AddOp(OP_SSGEN).AddOp(OP_DUP). + AddOp(OP_HASH160).AddData(h).AddOp(OP_EQUALVERIFY). + AddOp(OP_CHECKSIG).Script() + } + return NewScriptBuilder().AddOp(OP_SSGEN).AddOp(OP_HASH160). + AddData(h).AddOp(OP_EQUAL).Script() +} + +// PayToSSGenPKHDirect creates a new script to pay a transaction output to a +// public key hash, but tags the output with OP_SSGEN. For use in constructing +// valid SSGen txs. Unlike PayToSSGen, this function directly uses the HASH160 +// pubkeyhash (instead of an address). +func PayToSSGenPKHDirect(pkh []byte) ([]byte, error) { + if pkh == nil { + return nil, ErrUnsupportedAddress + } + + return NewScriptBuilder().AddOp(OP_SSGEN).AddOp(OP_DUP). + AddOp(OP_HASH160).AddData(pkh).AddOp(OP_EQUALVERIFY). + AddOp(OP_CHECKSIG).Script() +} + +// PayToSSGenSHDirect creates a new script to pay a transaction output to a +// script hash, but tags the output with OP_SSGEN. For use in constructing +// valid SSGen txs. Unlike PayToSSGen, this function directly uses the HASH160 +// script hash (instead of an address). +func PayToSSGenSHDirect(sh []byte) ([]byte, error) { + if sh == nil { + return nil, ErrUnsupportedAddress + } + + return NewScriptBuilder().AddOp(OP_SSGEN).AddOp(OP_HASH160). + AddData(sh).AddOp(OP_EQUAL).Script() +} + +// PayToSSRtx creates a new script to pay a transaction output to a +// public key hash, but tags the output with OP_SSRTX. For use in constructing +// valid SSRtx. +func PayToSSRtx(addr types.Address) ([]byte, error) { + if addr == nil { + return nil, ErrUnsupportedAddress + } + + // Only pay to pubkey hash and pay to script hash are + // supported. + scriptType := PubKeyHashTy + switch addr := addr.(type) { + case *address.PubKeyHashAddress: + if addr.EcType() != ecc.ECDSA_Secp256k1 { + return nil, ErrUnsupportedAddress + } + case *address.ScriptHashAddress: + scriptType = ScriptHashTy + default: + return nil, ErrUnsupportedAddress + } + + h := addr.Script() + + if scriptType == PubKeyHashTy { + return NewScriptBuilder().AddOp(OP_SSRTX).AddOp(OP_DUP). + AddOp(OP_HASH160).AddData(h).AddOp(OP_EQUALVERIFY). + AddOp(OP_CHECKSIG).Script() + } + return NewScriptBuilder().AddOp(OP_SSRTX).AddOp(OP_HASH160). + AddData(h).AddOp(OP_EQUAL).Script() +} + +// PayToSSRtxPKHDirect creates a new script to pay a transaction output to a +// public key hash, but tags the output with OP_SSRTX. For use in constructing +// valid SSRtx. Unlike PayToSSRtx, this function directly uses the HASH160 +// pubkeyhash (instead of an address). +func PayToSSRtxPKHDirect(pkh []byte) ([]byte, error) { + if pkh == nil { + return nil, ErrUnsupportedAddress + } + + return NewScriptBuilder().AddOp(OP_SSRTX).AddOp(OP_DUP). + AddOp(OP_HASH160).AddData(pkh).AddOp(OP_EQUALVERIFY). + AddOp(OP_CHECKSIG).Script() +} + +// PayToSSRtxSHDirect creates a new script to pay a transaction output to a +// script hash, but tags the output with OP_SSRTX. For use in constructing +// valid SSRtx. Unlike PayToSSRtx, this function directly uses the HASH160 +// script hash (instead of an address). +func PayToSSRtxSHDirect(sh []byte) ([]byte, error) { + if sh == nil { + return nil, ErrUnsupportedAddress + } + + return NewScriptBuilder().AddOp(OP_SSRTX).AddOp(OP_HASH160). + AddData(sh).AddOp(OP_EQUAL).Script() +} + +// PayToCLTVPubKeyHashScript creates a new script to pay a transaction +// output to a 20-byte pubkey hash and lockTime. It is expected that the input is a valid +// hash. +func PayToCLTVPubKeyHashScript(pubKeyHash []byte, lockTime int64) ([]byte, error) { + if lockTime < 1 || lockTime > int64(types.MaxTxInSequenceNum) { + return nil, fmt.Errorf("Locktime out of range:%d", lockTime) + } + return NewScriptBuilder().AddInt64(lockTime).AddOp(OP_CHECKLOCKTIMEVERIFY).AddOp(OP_DROP).AddOp(OP_DUP).AddOp(OP_HASH160). + AddData(pubKeyHash).AddOp(OP_EQUALVERIFY).AddOp(OP_CHECKSIG).Script() +} + +func PayToTokenPubKeyHashScript(pubKeyHash []byte, coinId types.CoinID, upLimit uint64, name string, feeCfg int64) ([]byte, error) { + return NewScriptBuilder().AddInt64(int64(coinId)).AddInt64(int64(upLimit)).AddData([]byte(name)).AddInt64(feeCfg).AddOp(OP_TOKEN).AddOp(OP_2DROP).AddOp(OP_2DROP).AddOp(OP_DUP).AddOp(OP_HASH160). + AddData(pubKeyHash).AddOp(OP_EQUALVERIFY).AddOp(OP_CHECKSIG).Script() +} + +// GenerateSStxAddrPush generates an OP_RETURN push for SSGen payment addresses in +// an SStx. +func GenerateSStxAddrPush(addr types.Address, amount uint64, + limits uint16) ([]byte, error) { + if addr == nil { + return nil, ErrUnsupportedAddress + } + + // Only pay to pubkey hash and pay to script hash are + // supported. + scriptType := PubKeyHashTy + switch addr := addr.(type) { + case *address.PubKeyHashAddress: + if addr.EcType() != ecc.ECDSA_Secp256k1 { + return nil, ErrUnsupportedAddress + } + case *address.ScriptHashAddress: + scriptType = ScriptHashTy + default: + return nil, ErrUnsupportedAddress + } + + // Prefix + dataPushes := []byte{ + 0x6a, // OP_RETURN + 0x1e, // OP_DATA_30 + } + + hash := addr.Script() + + amountBuffer := make([]byte, 8) + binary.LittleEndian.PutUint64(amountBuffer, uint64(amount)) + + // Set the bit flag indicating pay to script hash. + if scriptType == ScriptHashTy { + amountBuffer[7] |= 1 << 7 + } + + limitsBuffer := make([]byte, 2) + binary.LittleEndian.PutUint16(limitsBuffer, limits) + + // Concatenate the prefix, pubkeyhash, and amount. + addrOut := append(dataPushes, hash...) + addrOut = append(addrOut, amountBuffer...) + addrOut = append(addrOut, limitsBuffer...) + + return addrOut, nil +} + +// GenerateSSGenBlockRef generates an OP_RETURN push for the block header hash and +// height which the block votes on. +func GenerateSSGenBlockRef(blockHash hash.Hash, height uint32) ([]byte, + error) { + // Prefix + dataPushes := []byte{ + 0x6a, // OP_RETURN + 0x24, // OP_DATA_36 + } + + // Serialize the block hash and height + blockHeightBytes := make([]byte, 4) + binary.LittleEndian.PutUint32(blockHeightBytes, height) + + blockData := append(blockHash[:], blockHeightBytes...) + + // Concatenate the prefix and block data + blockDataOut := append(dataPushes, blockData...) + + return blockDataOut, nil +} + +// GenerateSSGenVotes generates an OP_RETURN push for the vote bits in an SSGen tx. +func GenerateSSGenVotes(votebits uint16) ([]byte, error) { + // Prefix + dataPushes := []byte{ + 0x6a, // OP_RETURN + 0x02, // OP_DATA_2 + } + + // Serialize the votebits + voteBitsBytes := make([]byte, 2) + binary.LittleEndian.PutUint16(voteBitsBytes, votebits) + + // Concatenate the prefix and vote bits + voteBitsOut := append(dataPushes, voteBitsBytes...) + + return voteBitsOut, nil +} + +// GenerateProvablyPruneableOut creates an OP_RETURN push of arbitrary data. +func GenerateProvablyPruneableOut(data []byte) ([]byte, error) { + if len(data) > MaxDataCarrierSize { + return nil, ErrStackLongScript + } + + return NewScriptBuilder().AddOp(OP_RETURN).AddData(data).Script() +} + +// PayToAddrScript creates a new script to pay a transaction output to a the +// specified address. +func PayToAddrScript(addr types.Address) ([]byte, error) { + switch addr := addr.(type) { + case *address.PubKeyHashAddress: + if addr == nil { + return nil, ErrUnsupportedAddress + } + switch addr.EcType() { + case ecc.ECDSA_Secp256k1: + return payToPubKeyHashScript(addr.Script()) + case ecc.EdDSA_Ed25519: + return payToPubKeyHashEdwardsScript(addr.Script()) + case ecc.ECDSA_SecpSchnorr: + return payToPubKeyHashSchnorrScript(addr.Script()) + } + case *address.ScriptHashAddress: + if addr == nil { + return nil, ErrUnsupportedAddress + } + return payToScriptHashScript(addr.Script()) + + case *address.SecpPubKeyAddress: + if addr == nil { + return nil, ErrUnsupportedAddress + } + return payToPubKeyScript(addr.Script()) + + case *address.EdwardsPubKeyAddress: + if addr == nil { + return nil, ErrUnsupportedAddress + } + return payToEdwardsPubKeyScript(addr.Script()) + + case *address.SecSchnorrPubKeyAddress: + if addr == nil { + return nil, ErrUnsupportedAddress + } + return payToSchnorrPubKeyScript(addr.Script()) + } + + return nil, ErrUnsupportedAddress +} + +// MultiSigScript returns a valid script for a multisignature redemption where +// nrequired of the keys in pubkeys are required to have signed the transaction +// for success. An ErrBadNumRequired will be returned if nrequired is larger +// than the number of keys provided. +func MultiSigScript(pubkeys []*address.SecpPubKeyAddress, nrequired int) ([]byte, + error) { + if len(pubkeys) < nrequired { + return nil, ErrBadNumRequired + } + + builder := NewScriptBuilder().AddInt64(int64(nrequired)) + for _, key := range pubkeys { + builder.AddData(key.Script()) + } + builder.AddInt64(int64(len(pubkeys))) + builder.AddOp(OP_CHECKMULTISIG) + + return builder.Script() +} + +// PushedData returns an array of byte slices containing any pushed data found +// in the passed script. This includes OP_0, but not OP_1 - OP_16. +func PushedData(script []byte) ([][]byte, error) { + pops, err := parseScript(script) + if err != nil { + return nil, err + } + + var data [][]byte + for _, pop := range pops { + if pop.data != nil { + data = append(data, pop.data) + } else if pop.opcode.value == OP_0 { + data = append(data, nil) + } + } + return data, nil +} + +// GetMultisigMandN returns the number of public keys and the number of +// signatures required to redeem the multisignature script. +func GetMultisigMandN(script []byte) (uint8, uint8, error) { + // No valid addresses or required signatures if the script doesn't + // parse. + pops, err := parseScript(script) + if err != nil { + return 0, 0, err + } + + requiredSigs := uint8(asSmallInt(pops[0].opcode)) + numPubKeys := uint8(asSmallInt(pops[len(pops)-2].opcode)) + + return requiredSigs, numPubKeys, nil +} + +// ExtractPkScriptAddrs returns the type of script, addresses and required +// signatures associated with the passed PkScript. Note that it only works for +// 'standard' transaction script types. Any data such as public keys which are +// invalid are omitted from the results. +func ExtractPkScriptAddrs(pkScript []byte, + chainParams *params.Params) (ScriptClass, []types.Address, int, error) { + + var addrs []types.Address + var requiredSigs int + + // No valid addresses or required signatures if the script doesn't + // parse. + pops, err := parseScript(pkScript) + if err != nil { + return NonStandardTy, nil, 0, err + } + + scriptClass := typeOfScript(pops) + + switch scriptClass { + case PubKeyHashTy: + // A pay-to-pubkey-hash script is of the form: + // OP_DUP OP_HASH160 OP_EQUALVERIFY OP_CHECKSIG + // Therefore the pubkey hash is the 3rd item on the stack. + // Skip the pubkey hash if it's invalid for some reason. + requiredSigs = 1 + addr, err := address.NewPubKeyHashAddress(pops[2].data, + chainParams, ecc.ECDSA_Secp256k1) + if err == nil { + addrs = append(addrs, addr) + } + + case PubkeyHashAltTy: + // A pay-to-pubkey-hash script is of the form: + // OP_DUP OP_HASH160 OP_EQUALVERIFY OP_CHECKSIGALT + // Therefore the pubkey hash is the 3rd item on the stack. + // Skip the pubkey hash if it's invalid for some reason. + requiredSigs = 1 + suite, _ := ExtractPkScriptAltSigType(pkScript) + addr, err := address.NewPubKeyHashAddress(pops[2].data, + chainParams, suite) + if err == nil { + addrs = append(addrs, addr) + } + + case PubKeyTy: + // A pay-to-pubkey script is of the form: + // OP_CHECKSIG + // Therefore the pubkey is the first item on the stack. + // Skip the pubkey if it's invalid for some reason. + requiredSigs = 1 + pk, err := ecc.Secp256k1.ParsePubKey(pops[0].data) + if err == nil { + addr, err := address.NewSecpPubKeyCompressedAddress(pk, chainParams) + if err == nil { + addrs = append(addrs, addr) + } + } + + case PubkeyAltTy: + // A pay-to-pubkey alt script is of the form: + // OP_CHECKSIGALT + // Therefore the pubkey is the first item on the stack. + // Skip the pubkey if it's invalid for some reason. + requiredSigs = 1 + suite, _ := ExtractPkScriptAltSigType(pkScript) + var addr types.Address + err := fmt.Errorf("invalid signature suite for alt sig") + switch suite { + case ecc.EdDSA_Ed25519: + addr, err = address.NewEdwardsPubKeyAddress(pops[0].data, + chainParams) + case ecc.ECDSA_SecpSchnorr: + addr, err = address.NewSecSchnorrPubKeyAddress(pops[0].data, + chainParams) + } + if err == nil { + addrs = append(addrs, addr) + } + + case StakeSubmissionTy: + // A pay-to-stake-submission-hash script is of the form: + // OP_SSTX ... P2PKH or P2SH + var localAddrs []types.Address + _, localAddrs, requiredSigs, err = + ExtractPkScriptAddrs(getStakeOutSubscript(pkScript), + chainParams) + if err == nil { + addrs = append(addrs, localAddrs...) + } + + case StakeGenTy: + // A pay-to-stake-generation-hash script is of the form: + // OP_SSGEN ... P2PKH or P2SH + var localAddrs []types.Address + _, localAddrs, requiredSigs, err = ExtractPkScriptAddrs( + getStakeOutSubscript(pkScript), chainParams) + if err == nil { + addrs = append(addrs, localAddrs...) + } + + case StakeRevocationTy: + // A pay-to-stake-revocation-hash script is of the form: + // OP_SSRTX ... P2PKH or P2SH + var localAddrs []types.Address + _, localAddrs, requiredSigs, err = + ExtractPkScriptAddrs(getStakeOutSubscript(pkScript), + chainParams) + if err == nil { + addrs = append(addrs, localAddrs...) + } + + case StakeSubChangeTy: + // A pay-to-stake-submission-change-hash script is of the form: + // OP_SSTXCHANGE ... P2PKH or P2SH + var localAddrs []types.Address + _, localAddrs, requiredSigs, err = + ExtractPkScriptAddrs(getStakeOutSubscript(pkScript), + chainParams) + if err == nil { + addrs = append(addrs, localAddrs...) + } + + case ScriptHashTy: + // A pay-to-script-hash script is of the form: + // OP_HASH160 OP_EQUAL + // Therefore the script hash is the 2nd item on the stack. + // Skip the script hash if it's invalid for some reason. + requiredSigs = 1 + addr, err := address.NewScriptHashAddressFromHash(pops[1].data, + chainParams) + if err == nil { + addrs = append(addrs, addr) + } + + case MultiSigTy: + // A multi-signature script is of the form: + // ... OP_CHECKMULTISIG + // Therefore the number of required signatures is the 1st item + // on the stack and the number of public keys is the 2nd to last + // item on the stack. + requiredSigs = asSmallInt(pops[0].opcode) + numPubKeys := asSmallInt(pops[len(pops)-2].opcode) + + // Extract the public keys while skipping any that are invalid. + addrs = make([]types.Address, 0, numPubKeys) + for i := 0; i < numPubKeys; i++ { + pubkey, err := ecc.Secp256k1.ParsePubKey(pops[i+1].data) + if err == nil { + addr, err := address.NewSecpPubKeyCompressedAddress(pubkey, + chainParams) + if err == nil { + addrs = append(addrs, addr) + } + } + } + + case NullDataTy: + // Null data transactions have no addresses or required + // signatures. + + case NonStandardTy: + // Don't attempt to extract addresses or required signatures for + // nonstandard transactions. + + case CLTVPubKeyHashTy: + // A pay-to-cltv-pubkey-hash script is of the form: + // OP_CHECKLOCKTIMEVERIFY OP_DROP OP_DUP OP_HASH160 OP_EQUALVERIFY OP_CHECKSIG + // Therefore the pubkey hash is the 3rd item on the stack. + // Skip the pubkey hash if it's invalid for some reason. + requiredSigs = 1 + addr, err := address.NewPubKeyHashAddress(pops[5].data, + chainParams, ecc.ECDSA_Secp256k1) + if err == nil { + addrs = append(addrs, addr) + } + + case TokenPubKeyHashTy: + requiredSigs = 1 + addr, err := address.NewPubKeyHashAddress(pops[9].data, + chainParams, ecc.ECDSA_Secp256k1) + if err == nil { + addrs = append(addrs, addr) + } + } + + return scriptClass, addrs, requiredSigs, nil +} + +// extractOneBytePush returns the value of a one byte push. +func extractOneBytePush(po ParsedOpcode) int { + if !isOneByteMaxDataPush(po) { + return -1 + } + + if po.opcode.value == OP_1 || + po.opcode.value == OP_2 || + po.opcode.value == OP_3 || + po.opcode.value == OP_4 || + po.opcode.value == OP_5 || + po.opcode.value == OP_6 || + po.opcode.value == OP_7 || + po.opcode.value == OP_8 || + po.opcode.value == OP_9 || + po.opcode.value == OP_10 || + po.opcode.value == OP_11 || + po.opcode.value == OP_12 || + po.opcode.value == OP_13 || + po.opcode.value == OP_14 || + po.opcode.value == OP_15 || + po.opcode.value == OP_16 { + return int(po.opcode.value - 80) + } + + return int(po.data[0]) +} + +// ExtractPkScriptAltSigType returns the signature scheme to use for an +// alternative check signature script. +func ExtractPkScriptAltSigType(pkScript []byte) (ecc.EcType, error) { + pops, err := parseScript(pkScript) + if err != nil { + return 0, err + } + + isPKA := isPubkeyAlt(pops) + isPKHA := isPubkeyHashAlt(pops) + if !(isPKA || isPKHA) { + return -1, fmt.Errorf("wrong script type") + } + + sigTypeLoc := 1 + if isPKHA { + sigTypeLoc = 4 + } + + valInt := extractOneBytePush(pops[sigTypeLoc]) + if valInt < 0 { + return 0, fmt.Errorf("bad type push") + } + val := sigTypes(valInt) + switch val { + case edwards: + return ecc.EcType(val), nil + case secSchnorr: + return ecc.EcType(val), nil + default: + break + } + + return -1, fmt.Errorf("bad signature scheme type") +} + +// AtomicSwapDataPushes houses the data pushes found in atomic swap contracts. +type AtomicSwapDataPushes struct { + RecipientHash160 [20]byte + RefundHash160 [20]byte + SecretHash [32]byte + SecretSize int64 + LockTime int64 +} + +// TODO, refactor & design of the Atomics Swaps of btc-alike chains & eth-alike chains +// ExtractAtomicSwapDataPushes returns the data pushes from an atomic swap +// contract. If the script is not an atomic swap contract, +// ExtractAtomicSwapDataPushes returns (nil, nil). Non-nil errors are returned +// for unparsable scripts. +// +// NOTE: Atomic swaps are not considered standard script types by the mempool policy +// and should be used with P2SH. The atomic swap format is also +// expected to change to use a more secure hash function in the future. +// +// This function is only defined in the txscript package due to API limitations +// which prevent callers using txscript to parse nonstandard scripts. +func ExtractAtomicSwapDataPushes(version uint16, pkScript []byte) (*AtomicSwapDataPushes, error) { + pops, err := parseScript(pkScript) + if err != nil { + return nil, err + } + + if len(pops) != 20 { + return nil, nil + } + isAtomicSwap := pops[0].opcode.value == OP_IF && + pops[1].opcode.value == OP_SIZE && + canonicalPush(pops[2]) && + pops[3].opcode.value == OP_EQUALVERIFY && + pops[4].opcode.value == OP_SHA256 && + pops[5].opcode.value == OP_DATA_32 && + pops[6].opcode.value == OP_EQUALVERIFY && + pops[7].opcode.value == OP_DUP && + pops[8].opcode.value == OP_HASH160 && + pops[9].opcode.value == OP_DATA_20 && + pops[10].opcode.value == OP_ELSE && + canonicalPush(pops[11]) && + pops[12].opcode.value == OP_CHECKLOCKTIMEVERIFY && + pops[13].opcode.value == OP_DROP && + pops[14].opcode.value == OP_DUP && + pops[15].opcode.value == OP_HASH160 && + pops[16].opcode.value == OP_DATA_20 && + pops[17].opcode.value == OP_ENDIF && + pops[18].opcode.value == OP_EQUALVERIFY && + pops[19].opcode.value == OP_CHECKSIG + if !isAtomicSwap { + return nil, nil + } + + pushes := new(AtomicSwapDataPushes) + copy(pushes.SecretHash[:], pops[5].data) + copy(pushes.RecipientHash160[:], pops[9].data) + copy(pushes.RefundHash160[:], pops[16].data) + if pops[2].data != nil { + locktime, err := makeScriptNum(pops[2].data, true, 5) + if err != nil { + return nil, nil + } + pushes.SecretSize = int64(locktime) + } else if op := pops[2].opcode; isSmallInt(op) { + pushes.SecretSize = int64(asSmallInt(op)) + } else { + return nil, nil + } + if pops[11].data != nil { + locktime, err := makeScriptNum(pops[11].data, true, 5) + if err != nil { + return nil, nil + } + pushes.LockTime = int64(locktime) + } else if op := pops[11].opcode; isSmallInt(op) { + pushes.LockTime = int64(asSmallInt(op)) + } else { + return nil, nil + } + return pushes, nil +} diff --git a/engine/txscript/tokenscript.go b/engine/txscript/tokenscript.go new file mode 100644 index 0000000..d4a6445 --- /dev/null +++ b/engine/txscript/tokenscript.go @@ -0,0 +1,75 @@ +package txscript + +import ( + "github.com/Qitmeer/qng-core/core/address" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/crypto/ecc" + "github.com/Qitmeer/qng-core/params" +) + +type TokenScript struct { + pops []ParsedOpcode +} + +func (s *TokenScript) Name() string { + return scriptClassToName[TokenPubKeyHashTy] +} + +func (s *TokenScript) GetClass() ScriptClass { + return TokenPubKeyHashTy +} + +func (s *TokenScript) Match(pops []ParsedOpcode) bool { + return isTokenPubkeyHash(pops) +} + +func (s *TokenScript) SetOpcode(pops []ParsedOpcode) error { + s.pops = pops + return nil +} + +func (s *TokenScript) GetAddresses() []types.Address { + var addrs []types.Address + addr, err := address.NewPubKeyHashAddress(s.pops[8].data, params.ActiveNetParams.Params, ecc.ECDSA_Secp256k1) + if err == nil { + addrs = append(addrs, addr) + } else { + log.Error(err.Error()) + } + return addrs +} + +func (s *TokenScript) RequiredSigs() bool { + return true +} + +func (s *TokenScript) GetCoinId() types.CoinID { + coinId, err := makeScriptNum(s.pops[0].data, true, 5) + if err != nil { + log.Error(err.Error()) + return types.CoinID(0) + } + return types.CoinID(coinId) +} + +func (s *TokenScript) GetUpLimit() uint64 { + limit, err := makeScriptNum(s.pops[1].data, true, 8) + if err != nil { + log.Error(err.Error()) + return 0 + } + return uint64(limit) +} + +func (s *TokenScript) GetName() string { + return string(s.pops[2].data) +} + +func (s *TokenScript) GetFeeCfgData() int64 { + da, err := makeScriptNum(s.pops[3].data, true, 8) + if err != nil { + log.Error(err.Error()) + return 0 + } + return int64(da) +} diff --git a/go.mod b/go.mod new file mode 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h1:WmkBL5E0uicsLz5cgYSokPuZcXspS1pFFgEqotqNngk= diff --git a/ledger/README.md b/ledger/README.md new file mode 100644 index 0000000..ec4caf0 --- /dev/null +++ b/ledger/README.md @@ -0,0 +1,9 @@ +# Ledger + +### How to generate ledger + +``` +~ cd ./payledger +~ go generate +~ or `go run ledgerpayout.go privnet` +``` \ No newline at end of file diff --git a/ledger/ledger.go b/ledger/ledger.go new file mode 100644 index 0000000..8a75b1d --- /dev/null +++ b/ledger/ledger.go @@ -0,0 +1,127 @@ +package ledger + +import ( + "encoding/hex" + "fmt" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types" +) + +type LedgerParams struct { + GenesisAmountUnit int64 // the unit amount of equally divided. + MaxLockHeight int64 // the max lock height +} + +const PercentBase = 10000 + +// TokenPayout is a payout for block 1 which specifies an address and an amount +// to pay to that address in a transaction output. +type TokenPayout struct { + Address string + PkScript []byte + Amount types.Amount +} + +type TokenPayoutReGen struct { + Payout TokenPayout + GenAmount types.Amount +} + +type PayoutList []TokenPayoutReGen + +func (p PayoutList) Len() int { return len(p) } +func (p PayoutList) Less(i, j int) bool { + x, _ := (&types.Amount{Value: 0, Id: types.MEERID}).Add(&p[i].GenAmount, &p[i].Payout.Amount) + y, _ := (&types.Amount{Value: 0, Id: types.MEERID}).Add(&p[j].GenAmount, &p[j].Payout.Amount) + return x.Value < y.Value +} +func (p PayoutList) Swap(i, j int) { p[i], p[j] = p[j], p[i] } + +type PayoutList2 []TokenPayoutReGen + +func (p PayoutList2) Len() int { return len(p) } +func (p PayoutList2) Less(i, j int) bool { + return p[i].Payout.Address < p[j].Payout.Address +} +func (p PayoutList2) Swap(i, j int) { p[i], p[j] = p[j], p[i] } + +// GenesisLedger specifies the list of payouts in the coinbase of +// genesis. Must be a constant fixed in the code. +// If there are no payouts to be given, set this +// to an empty slice. +var GenesisLedger []*TokenPayout + +// BlockOneSubsidy returns the total subsidy of block height 1 for the +// network. +func GenesisLedgerSubsidy() types.Amount { + zero := &types.Amount{Value: 0, Id: types.MEERID} + if len(GenesisLedger) == 0 { + return *zero + } + sum := zero + for _, output := range GenesisLedger { + sum.Add(sum, &output.Amount) + } + return *sum +} + +func addPayout(addr string, amount uint64, pksStr string) { + pks, err := hex.DecodeString(pksStr) + if err != nil { + fmt.Printf("Error %v - address:%s amount:%d\n", err, addr, amount) + return + } + var amt *types.Amount + amt, err = types.NewMeer(amount) + if err != nil { + fmt.Printf("Error %v - address:%s amount:%d\n", err, addr, amount) + return + } + GenesisLedger = append(GenesisLedger, &TokenPayout{addr, pks, *amt}) + //fmt.Printf("Add payout (%d) - address:%s amount:%d\n",len(GenesisLedger),addr,amount) +} + +func addPayout2(addr string, amount types.Amount, pksStr string) { + pks, err := hex.DecodeString(pksStr) + if err != nil { + fmt.Printf("Error %v - address:%s amount:%d\n", err, addr, amount) + return + } + //TODO input check for amout + GenesisLedger = append(GenesisLedger, &TokenPayout{addr, pks, amount}) +} + +// pay out tokens to a ledger. +func Ledger(tx *types.Transaction, netType protocol.Network) { + if len(GenesisLedger) != 0 { + GenesisLedger = GenesisLedger[:0] + } + switch netType { + case protocol.MainNet: + initMain() + case protocol.TestNet: + initTest() + case protocol.MixNet: + initMix() + case protocol.PrivNet: + initPriv() + } + + // Block one is a special block that might pay out tokens to a ledger. + if len(GenesisLedger) != 0 { + // Convert the addresses in the ledger into useable format. + for _, payout := range GenesisLedger { + // Make payout to this address. + tx.AddTxOut(&types.TxOutput{ + Amount: payout.Amount, + PkScript: payout.PkScript, + }) + } + } + + if len(tx.TxOut) <= 0 { + tx.AddTxOut(&types.TxOutput{ + Amount: types.Amount{Value: 0, Id: types.MEERID}, + }) + } +} diff --git a/ledger/ledgerpayout.go b/ledger/ledgerpayout.go new file mode 100644 index 0000000..b5ddc0f --- /dev/null +++ b/ledger/ledgerpayout.go @@ -0,0 +1,337 @@ +// This file is ignored during the regular build due to the following build tag. +// It is called by go generate and used to automatically generate pre-computed +// tables used to accelerate operations. +// +build ignore + +package main + +import ( + "encoding/binary" + "encoding/hex" + "encoding/json" + "errors" + "fmt" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/address" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/engine/txscript" + "github.com/Qitmeer/qng-core/params" + "math/big" + "os" + "path/filepath" + "sort" + "strconv" + "strings" +) + +const ( + GENE_PAYOUT_TYPE_STANDARD = iota + GENE_PAYOUT_TYPE_AUTO_LOCK_WITH_CONFIG + GENE_PAYOUT_TYPE_LOCK_WITH_HEIGHT + ONE_DAY_SECONDS = 86400 + YEAR_DAYS = 365 +) + +var ( + defaultPayoutDirPath = "./" + defaultSuffixFilename = "ledgerpayout_gen" + oneDayHeight = int64(0) + yearMiningAmount = 0.00 + yearReleaseAmount = 0.00 + originAmount = int64(0) + genesisAmount = int64(0) +) + +type GenesisInitPayout struct { + CoinID types.CoinID + Address string + Amount int64 + GenesisPayoutType int + LockHeight int64 // amount lock with height +} + +func GeneratePayoutFile(param *params.Params, geneData []GenesisInitPayout, geneDataImport []string) { + importData, err := FormatDataFromImport(geneDataImport, param) + if err != nil { + fmt.Println(err) + return + } + geneData = append(geneData, importData...) + seedHash, err := GenerateUniqueSeedHash(geneData) + if err != nil { + fmt.Println(err) + return + } + payList, payKeys := ReSortAndSliceGeneDataWithSeed(geneData, seedHash, param) + savePayoutsFileBySliceShuffle(param, payList, payKeys) +} + +func ReSortAndSliceGeneDataWithSeed(data []GenesisInitPayout, seedHash []byte, p *params.Params) ([]GenesisInitPayout, []int) { + payList := make([]GenesisInitPayout, 0) + i := 0 + payKeys := make([]int, 0) + for _, v := range data { + for { + if v.GenesisPayoutType == GENE_PAYOUT_TYPE_STANDARD || v.GenesisPayoutType == GENE_PAYOUT_TYPE_LOCK_WITH_HEIGHT { + payList = append(payList, v) + payKeys = append(payKeys, i) + i++ + break + } + if int64(v.Amount) > p.LedgerParams.GenesisAmountUnit { + payList = append(payList, GenesisInitPayout{ + v.CoinID, v.Address, p.LedgerParams.GenesisAmountUnit, v.GenesisPayoutType, v.LockHeight, + }) + payKeys = append(payKeys, i) + i++ + v.Amount -= p.LedgerParams.GenesisAmountUnit + } else { + payList = append(payList, v) + payKeys = append(payKeys, i) + i++ + break + } + } + } + payKeys = GenesisShuffle(payKeys, seedHash) + return payList, payKeys +} + +// generate unique map with certainly input data +func GenerateUniqueSeedHash(data []GenesisInitPayout) ([]byte, error) { + uniqueString := make([]string, 0) + for _, v := range data { + uniqueString = append(uniqueString, fmt.Sprintf("%d:%s:%d:%d:%f", v.CoinID, v.Address, v.GenesisPayoutType, v.LockHeight, v.Amount)) + } + sort.Strings(uniqueString) + b, err := json.Marshal(uniqueString) + if err != nil { + return nil, err + } + seedHash := hash.HashB(b) + return seedHash, nil +} + +func ConvertStringToInt64(s string) int64 { + a, ok := new(big.Int).SetString(s, 10) + if !ok { + return 0 + } + return a.Int64() +} + +func CalcAllNeedReleaseAmount(data []string) int64 { + for _, v := range data { + // CoinID,address,amount,locktype,height + arr := strings.Split(v, ",") + amount := ConvertStringToInt64(arr[2]) + if amount <= 0 { + continue + } + originAmount += amount + } + return originAmount +} + +func FormatDataFromImport(data []string, params *params.Params) ([]GenesisInitPayout, error) { + allNeedRelease := CalcAllNeedReleaseAmount(data) + newData := make([]GenesisInitPayout, 0) + oneDayHeight = int64(float64(ONE_DAY_SECONDS) / params.TargetTimePerBlock.Seconds()) + yearMiningAmount = float64(oneDayHeight) * float64(params.BaseSubsidy) * YEAR_DAYS + for _, v := range data { + // CoinID,address,amount,locktype,height + arr := strings.Split(v, ",") + if len(arr) < 5 { + return nil, errors.New("data format error") + } + CoinID, err := strconv.Atoi(arr[0]) + if err != nil { + return nil, errors.New("CoinID data error" + arr[0]) + } + amount := ConvertStringToInt64(arr[2]) + if amount <= 0 { + continue + } + payouttype, err := strconv.Atoi(arr[3]) + if err != nil { + return nil, errors.New("payouttype data error" + arr[3]) + } + lockheight, err := strconv.Atoi(arr[4]) + if err != nil { + return nil, errors.New("height data error" + arr[4]) + } + if payouttype != GENE_PAYOUT_TYPE_AUTO_LOCK_WITH_CONFIG { + newData = append(newData, GenesisInitPayout{ + types.CoinID(CoinID), + arr[1], + amount, + payouttype, + int64(lockheight), + }) + continue + } + userYearReleaseAmount := float64(amount) * yearMiningAmount / float64(allNeedRelease) + if userYearReleaseAmount > float64(amount) { + userYearReleaseAmount = float64(amount) + } + yearReleaseAmount += userYearReleaseAmount + if userYearReleaseAmount > 0 { + newData = append(newData, GenesisInitPayout{ + types.CoinID(CoinID), + arr[1], + int64(userYearReleaseAmount), + payouttype, + int64(lockheight), + }) + } + + leftAmount := float64(amount) - float64(int64(userYearReleaseAmount)) + if leftAmount > 0 { + if leftAmount > float64(amount) { + leftAmount = float64(amount) + } + newData = append(newData, GenesisInitPayout{ + types.CoinID(CoinID), + arr[1], + int64(leftAmount), + GENE_PAYOUT_TYPE_LOCK_WITH_HEIGHT, + int64(params.LedgerParams.MaxLockHeight), + }) + } + + } + return newData, nil +} + +func GenesisShuffle(array []int, seed []byte) []int { + for i := len(array) - 1; i > 0; i-- { + p := RandShuffle(int64(i), seed) + a := array[i] + array[i] = array[p] + array[p] = a + } + return array +} + +func RandShuffle(max int64, seed []byte) int64 { + originL := max + if max > 24 { + max = max % 24 + } + if max <= 0 { + max = 1 + } + seedNum := binary.LittleEndian.Uint64(seed[max : max+8]) + return int64(seedNum % uint64(originL)) +} + +func savePayoutsFileBySliceShuffle(params *params.Params, genesisLedger []GenesisInitPayout, sortKeys []int) error { + netName := "" + switch params.Net { + case protocol.MainNet: + netName = "main" + case protocol.TestNet: + netName = "test" + case protocol.PrivNet: + netName = "priv" + case protocol.MixNet: + netName = "mix" + } + if len(genesisLedger) == 0 { + fmt.Println(netName + " network No payouts need to deal with.") + return nil + } + fileName := filepath.Join(defaultPayoutDirPath, defaultSuffixFilename+netName+".go") + + f, err := os.Create(fileName) + + if err != nil { + fmt.Println(fmt.Sprintf("Save error:%s %s", fileName, err)) + return err + } + defer func() { + err = f.Close() + }() + + funName := fmt.Sprintf("%s%s", strings.ToUpper(string(netName[0])), netName[1:]) + fileContent := fmt.Sprintf("// It is called by go generate and used to automatically generate pre-computed \n// Copyright 2017-2018 The qitmeer developers \n// This file is auto generate \npackage ledger\n\nimport (\n\t. \"github.com/Qitmeer/qng-core/core/types\"\n)\n\nfunc init%s() {\n", funName) + oneDayRelease := yearReleaseAmount / YEAR_DAYS + fileContent += processLockingGenesisPayouts(genesisLedger, sortKeys, int64(oneDayRelease), oneDayHeight) + + fileContent += "}" + + f.WriteString(fileContent) + + return nil +} + +func processLockingGenesisPayouts(genesisLedger []GenesisInitPayout, sortKeys []int, oneDayRelease int64, heightStep int64) string { + fileContent := "" + curMHeight := int64(0) + oneDayUsedAmount := int64(0) + for i := 0; i < len(sortKeys); i++ { + v := genesisLedger[sortKeys[i]] + if v.GenesisPayoutType == GENE_PAYOUT_TYPE_STANDARD { + addr, err := address.DecodeAddress(v.Address) + if err != nil { + return err.Error() + } + script, err := txscript.PayToAddrScript(addr) + if err != nil { + return err.Error() + } + genesisAmount += int64(v.Amount) + fileContent += fmt.Sprintf(" addPayout2(\"%s\",Amount{Value: %d, Id: CoinID(%d)},\"%s\")\n", v.Address, int64(v.Amount), v.CoinID, hex.EncodeToString(script)) + continue + } + if v.GenesisPayoutType == GENE_PAYOUT_TYPE_LOCK_WITH_HEIGHT { + script, err := PayToCltvAddrScriptWithMainHeight(v.Address, v.LockHeight) + if err != nil { + return err.Error() + } + genesisAmount += int64(v.Amount) + fileContent += fmt.Sprintf(" addPayout2(\"%s\",Amount{Value: %d, Id: CoinID(%d)},\"%s\")\n", v.Address, int64(v.Amount), v.CoinID, hex.EncodeToString(script)) + continue + } + if v.GenesisPayoutType == GENE_PAYOUT_TYPE_AUTO_LOCK_WITH_CONFIG { + for v.Amount > 0 { + oneDayLeftAmount := oneDayRelease - oneDayUsedAmount + amount := int64(0) + script, err := PayToCltvAddrScriptWithMainHeight(v.Address, curMHeight) + if err != nil { + return err.Error() + } + if v.Amount >= oneDayLeftAmount { + v.Amount -= oneDayLeftAmount + amount = oneDayLeftAmount + curMHeight += heightStep + oneDayUsedAmount = 0 + } else { + amount = v.Amount + oneDayUsedAmount += int64(amount) + v.Amount = 0 + } + genesisAmount += int64(amount) + fileContent += fmt.Sprintf(" addPayout2(\"%s\",Amount{Value: %d, Id: CoinID(%d)},\"%s\")\n", v.Address, int64(amount), v.CoinID, hex.EncodeToString(script)) + } + } + } + if originAmount != genesisAmount { + fmt.Println("not equal", "originAmount", originAmount, "genesisAmount", genesisAmount) + return "" + } + fmt.Println("generate success") + return fileContent +} + +func PayToCltvAddrScriptWithMainHeight(addrStr string, mainHeight int64) ([]byte, error) { + addr, err := address.DecodeAddress(addrStr) + if err != nil { + return nil, err + } + if mainHeight <= 0 { + return txscript.PayToAddrScript(addr) + } + return txscript.PayToCLTVPubKeyHashScript(addr.Script(), mainHeight) +} diff --git a/ledger/ledgerpayout_genmain.go b/ledger/ledgerpayout_genmain.go new file mode 100644 index 0000000..6e866b2 --- /dev/null +++ b/ledger/ledgerpayout_genmain.go @@ -0,0 +1,16247 @@ +// It is called by go generate and used to automatically generate pre-computed +// Copyright 2017-2018 The qitmeer developers +// This file is auto generate +package ledger + +import ( + . "github.com/Qitmeer/qng-core/core/types" +) + +func initMain() { + addPayout2("MmR28JLe2KSDKLKJQG6g8YBciuAhuh4HNyy", Amount{Value: 7072852442, Id: CoinID(0)}, "76a9143b8942a84b0966c2e9fadfe42ced05898037130b88ac") + addPayout2("MmTCP9B21fzQrMCLhe1rr6tv65iHQ9AGfrz", Amount{Value: 1230238430, Id: CoinID(0)}, "03403350b17576a914536a0f9ec7d2459d69c5cf837112c422f96d07f288ac") + addPayout2("MmciGcwpsFCpAg85y6tFCXgrHDjZfJVJko9", Amount{Value: 443939778, Id: CoinID(0)}, "76a914bbca3a73ef73c7768f91a6c5eb73bb0c95d42db888ac") + addPayout2("MmMD9W1X8Vo9Z2KNaqdsGjmqTq5gyNDrsPB", Amount{Value: 100000000000, Id: CoinID(0)}, "76a91411be55e66d57f8b73d35101caa82d6f31bb5a16f88ac") + addPayout2("MmSqr6GTdqg6e8H1C5XTZoU5eMyyvsjH3MT", Amount{Value: 323257120, Id: CoinID(0)}, "76a9144f87d28c8d64b1966c30a68fdf871dcfe6222d1688ac") + addPayout2("MmLsqKLo61ySRX1U87Sxi3H87FPiFuFHA7m", Amount{Value: 100000000000, Id: CoinID(0)}, "76a9140e1740caf42bcc46dcc49c6006f866ec3932cd4488ac") + addPayout2("MmPeHYiddddGSBdQkNjFALtXQGs4XLZyCkj", Amount{Value: 819672304, Id: CoinID(0)}, "76a9142c6fb4058e35b8c8dce574af55de7c158a5d2c0388ac") + addPayout2("MmNzAiVbpP9rNX7Ze6A8ZY5cgxPnu24Ecro", Amount{Value: 68576149792, Id: CoinID(0)}, "76a914253a31ad02d6e37301488bf270cb9407d1d7174888ac") + addPayout2("MmLB8akYGCNXsox9sH6R82dPCxnoBwpamNN", Amount{Value: 2466217973, Id: CoinID(0)}, "03403350b17576a91406649c7fe577922b958be212a3e4296195e5371a88ac") + addPayout2("MmKsJGj5vHSFLmmPeMatTiKXMSTagHx3cdE", Amount{Value: 100000000000, Id: CoinID(0)}, "76a91403053650cac59367adc6a201aff2c485c9b7482b88ac") + addPayout2("MmXbP5ogPXpABPf5T1zHnXxvFoQcXT2HnjD", Amount{Value: 100000000000, Id: CoinID(0)}, "76a91483a415326d08b0b9ec2abd25ba789df8252753fa88ac") + addPayout2("MmLy5JKEyCNj2Y26xUeDwQomfwyFrmLUmXh", Amount{Value: 323257120, Id: CoinID(0)}, "76a9140f15013698663b90d1100c0d0edc05994f6ccd4d88ac") + addPayout2("Mma4Mw5PXsfagLh8ab5tZm5wbmR1CBZQowk", Amount{Value: 100000000000, Id: CoinID(0)}, "76a9149eae9addb34a0781b5a150dd45971313408c154a88ac") + addPayout2("MmKsJGj5vHSFLmmPeMatTiKXMSTagHx3cdE", Amount{Value: 100000000000, Id: CoinID(0)}, "76a91403053650cac59367adc6a201aff2c485c9b7482b88ac") + addPayout2("MmQPCVJDK8YM25hPd6p6M25TixdgDV1nsiA", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914348d5dd594f7d80f88755b4a8ef24510af86f9f988ac") + addPayout2("MmW8v8HwKQT1zZriMQrcxfrDf4DLRo7z45Y", Amount{Value: 64644965969, Id: CoinID(0)}, "03403350b17576a91473aaa3abec5fd1518f901a135db16c96c43346a388ac") + addPayout2("MmNzSZ1turLeSGeCCVebPaVbpVJPCTdQBgR", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914254769eca6bcc72c5b3b417f690a0ae6961c852288ac") + addPayout2("MmLMSHEgPwCYVTLXq9nDKi78Jd8Ntnc8XTX", Amount{Value: 323257120, Id: CoinID(0)}, "76a91408578b64dc9615232473bda8ced063b9db8f52d888ac") + addPayout2("MmdaXZJx6HzuctwyeRqQEdT5pQFP3eKrPhz", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914c54b7ed6a75654a127dd8cd4a65dfa0ab63965bd88ac") + addPayout2("MmTCmPBFEQF1Nu1Vx6Q7nfnLZwG7AMpuWqL", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914537ca092e749bba2fb9a42fe5840cb5291f539b388ac") + addPayout2("MmZTeV88hXTtmZyEkLUQAXHpNmHUEJPxKgT", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914981ddd17fc26a006412133985be94691402af20888ac") + addPayout2("MmaSnnD6Gqtfk6Y1Wphz5UCm9sZMv2JA3tw", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914a2ec7f57d094517cf7a74cbe671c602370354d3188ac") + addPayout2("MmdtJXJgN85pNM6JZpajc5NUMZP7uqfa82v", Amount{Value: 323257120, Id: CoinID(0)}, "76a914c8a81a213a4866da870b3dfbd2221e777554fb3c88ac") + addPayout2("MmZGWngxXfz5sfJcDPoavEP9627oWxzvEmj", Amount{Value: 323257120, Id: CoinID(0)}, "76a9149602dce1bdeec3e3b9a72f69cc2502e1ad43b6ff88ac") + addPayout2("MmSLqjRgxq9WgE3DSA76P9EAwn63WBVC7e6", Amount{Value: 2822715859, Id: CoinID(0)}, "76a9144a0b75a95ed299c0abc4c25f1bf8ad0b030404c988ac") + addPayout2("MmWqL5431tBZLdty6HL3Lw8jyzSTykGGNJs", Amount{Value: 1230238430, Id: CoinID(0)}, "03403350b17576a9147b4f43efcf79ff42f5c734952f3d9e37c950176988ac") + addPayout2("MmKsJGj5vHSFLmmPeMatTiKXMSTagHx3cdE", Amount{Value: 100000000000, Id: CoinID(0)}, "76a91403053650cac59367adc6a201aff2c485c9b7482b88ac") + addPayout2("Mma4Mw5PXsfagLh8ab5tZm5wbmR1CBZQowk", Amount{Value: 100000000000, Id: CoinID(0)}, "76a9149eae9addb34a0781b5a150dd45971313408c154a88ac") + addPayout2("MmKsJGj5vHSFLmmPeMatTiKXMSTagHx3cdE", Amount{Value: 100000000000, Id: CoinID(0)}, "76a91403053650cac59367adc6a201aff2c485c9b7482b88ac") + addPayout2("MmSrFiaWL6zZJwKVgdcddKZ9N75ZReXBHxV", Amount{Value: 28851649433, Id: CoinID(0)}, "03403350b17576a9144f9b8b63f61eed3bfd89b1ac09876b3283a490aa88ac") + addPayout2("MmboGXfjXt2XJN8BoyDNL9EeexmsvSNmhWr", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914b1c41b3d23eb591b31a27ce8407b0f04b011299388ac") + addPayout2("MmfvZhbVkDgyyrMf44beVwinmmzDC2YyKZw", Amount{Value: 1230238430, Id: CoinID(0)}, "03403350b17576a914df05dae30ac25e86f8aafccfb5bdb4e460e6a5af88ac") + addPayout2("MmLj9M9mvCevjGLyz64f2uyZpjzTM8jUJ2u", Amount{Value: 1095456757641, Id: CoinID(0)}, "03403350b17576a9140c728fa67dc50d285c58405ce45acd8cc682729788ac") + addPayout2("MmU1zZKeETSahXgbLK1uj7xCuK91fU2mpwQ", Amount{Value: 892211898662, Id: CoinID(0)}, "03403350b17576a9145c6b2ce0e34fca4d0ed3df861e59f997c9d868fb88ac") + addPayout2("Mmfmn2JFmPq8EFrxPLYTinJTQeG2XRBzWeR", Amount{Value: 2460476860, Id: CoinID(0)}, "03403350b17576a914dd5c65cbf2c3138b1276b6b578956f56423272c188ac") + addPayout2("MmdRVjAhcaHUrxcvrZaU8ifN4PDU52akSj1", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914c39639630ada2cca3c8db8d2eeb365677641969288ac") + addPayout2("Mma7jygj79y7nXxFVgwSkMnCNX3g7my21GB", Amount{Value: 492171319, Id: CoinID(0)}, "03403350b17576a9149f52414b93bd6cc530ce0d30015ed39beb94a24588ac") + addPayout2("MmX8gbaDwnigjJEnKE5zmi3vzfryhpvy8qa", Amount{Value: 100000000000, Id: CoinID(0)}, "76a9147e97789d4a967b9b87421e716cd050657b51806688ac") + addPayout2("MmeTP3DRaAarJQDdz945SJfQV52Yuy82CGL", Amount{Value: 568054628139, Id: CoinID(0)}, "03403350b17576a914cee9992ab27c7bf621d04aec311b9f5b9927f7f388ac") + addPayout2("MmaT8aoJ3ysjkbC8ki8ackq6KbHRZbMWXN3", Amount{Value: 323257120, Id: CoinID(0)}, "76a914a2fd07435e09416eac9cd72350fcb6f80e30ae2e88ac") + addPayout2("MmbCv4v2Unx9hE7G3DNUgFQR8cyVBdpeALL", Amount{Value: 23333366592, Id: CoinID(0)}, "76a914ab44e22ca81e1417bc8eaf74e07ebe69324549fd88ac") + addPayout2("MmXU3mns9xzu4KMt6nzKan16KfqgK4FNz17", Amount{Value: 646514240, Id: CoinID(0)}, "76a91482410d28ae44609b1bdb715ca4208e671db1f7bc88ac") + addPayout2("MmacwZ5mqtPmM5gZTXbi3xna1h6PC2jLWMw", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914a4d7fb1ff67162208d6dd06e630ff3881c92b09e88ac") + addPayout2("MmMoAiRRb9FPmUcjtPM16dQLVm5PcjB8hbs", Amount{Value: 323257120, Id: CoinID(0)}, "76a914182d7ddc89b799d9abc14e89f2a61184dca6a5a688ac") + addPayout2("MmhtzJEPkTUGspjwdU9ZfL9eafFvwKfvo96", Amount{Value: 323257120, Id: CoinID(0)}, "76a914f4a9ceaf0c31df9a16ebf4d227edfb58d703e19788ac") + addPayout2("Mmah1RLFDExUR6WpSynQZ3VXRJCDtxMUjb4", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914a59cdf4e3ca4a54e7b95ad6a1641f57f4df9918788ac") + addPayout2("MmLeHtUuHAs3mnNnEbqckousH2RqqADNrxN", Amount{Value: 646514240, Id: CoinID(0)}, "76a9140b879c3c8d03707e1c7343991ce7edd9cfde293688ac") + addPayout2("MmUGfZsBmKc6xaGBvRD8eFW4NoDuvwmkrrp", Amount{Value: 100000000000, Id: CoinID(0)}, "76a9145f318fe9aec439fde1edf85c658025d24a0dd85088ac") + addPayout2("MmY6e9yakafdsbtgVUdaZEFkzWrn8B3jpMX", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914892cba227ea4241241b923c09f1576a6e1d1ca4e88ac") + addPayout2("MmdaXZJx6HzuctwyeRqQEdT5pQFP3eKrPhz", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914c54b7ed6a75654a127dd8cd4a65dfa0ab63965bd88ac") + addPayout2("MmTJNwZpoe16t5YQvurpKbZuqqnwZJk8KhW", Amount{Value: 100000000000, Id: CoinID(0)}, "76a914548c63c5e0846a0891cc1d28647521fb1777357288ac") + addPayout2("Mmah1RLFDExUR6WpSynQZ3VXRJCDtxMUjb4", Amount{Value: 100000000000, Id: CoinID(0)}, 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"0300ff0fb17576a91483a415326d08b0b9ec2abd25ba789df8252753fa88ac") + addPayout2("MmKsJGj5vHSFLmmPeMatTiKXMSTagHx3cdE", Amount{Value: 100000000000, Id: CoinID(0)}, "0300ff0fb17576a91403053650cac59367adc6a201aff2c485c9b7482b88ac") + addPayout2("MmXtkaNhewuqyHH2ZwLetbu8t8XPdyQiwaB", Amount{Value: 100000000000, Id: CoinID(0)}, "0300ff0fb17576a91486ed18623e907353ef7b998e269e2f4a7ef7e4c988ac") + addPayout2("MmZTeV88hXTtmZyEkLUQAXHpNmHUEJPxKgT", Amount{Value: 100000000000, Id: CoinID(0)}, "0300ff0fb17576a914981ddd17fc26a006412133985be94691402af20888ac") + addPayout2("MmPTcxgo7wkWnfMgnQpwF2UpMS2NkjLbnQA", Amount{Value: 100000000000, Id: CoinID(0)}, "0300ff0fb17576a9142a6b553f036725ba885cc678c6aed547701bf61d88ac") + addPayout2("MmcDCKNwcr3Se36ZcA1qyDSUovQBvKngjuy", Amount{Value: 83485551416, Id: CoinID(0)}, "03403350b17576a914b64a92d5f9419adc4df59f219e316f827d972fa888ac") + addPayout2("Mmf93CE9Cvvf3chYYn1okcBFB22u5wH2dyg", Amount{Value: 100000000000, Id: CoinID(0)}, "0300ff0fb17576a914d669abdc421815d478f32bb48e191056f0bebb7388ac") + addPayout2("MmakJKfXLEMDawF2kFDSuCHvgmS79SVzx6L", Amount{Value: 20472950945, Id: CoinID(0)}, "0300ff0fb17576a914a63c3abfb4ea0211bdea37cbbf782f48d76a4cdc88ac") +} diff --git a/ledger/ledgerpayout_genmix.go b/ledger/ledgerpayout_genmix.go new file mode 100644 index 0000000..19b8b76 --- /dev/null +++ b/ledger/ledgerpayout_genmix.go @@ -0,0 +1,377 @@ +// It is called by go generate and used to automatically generate pre-computed +// Copyright 2017-2018 The qitmeer developers +// This file is auto generate +package ledger + +import ( + . "github.com/Qitmeer/qng-core/core/types" +) + +func initMix() { + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "76a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "02400bb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "028016b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "02c021b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "02002db17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "024038b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "028043b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "02c04eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "02005ab17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "024065b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "028070b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "02c07bb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03008700b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03409200b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03809d00b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0a800b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300b400b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340bf00b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380ca00b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0d500b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300e100b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340ec00b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380f700b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c00201b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03000e01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03401901b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03802401b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c02f01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03003b01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03404601b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03805101b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c05c01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03006801b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03407301b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03807e01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c08901b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03009501b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340a001b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380ab01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0b601b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300c201b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340cd01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380d801b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0e301b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300ef01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340fa01b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03800502b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c01002b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03001c02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03402702b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03803202b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c03d02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03004902b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03405402b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03805f02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c06a02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03007602b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03408102b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03808c02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c09702b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300a302b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340ae02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380b902b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0c402b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300d002b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340db02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380e602b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0f102b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300fd02b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03400803b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03801303b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c01e03b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, 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"0380f90db17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0040eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300100eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03401b0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380260eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0310eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03003d0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340480eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380530eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c05e0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03006a0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340750eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380800eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c08b0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300970eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340a20eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380ad0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0b80eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300c40eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340cf0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380da0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0e50eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300f10eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340fc0eb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380070fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0120fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03001e0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340290fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380340fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c03f0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03004b0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340560fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380610fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c06c0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300780fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340830fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03808e0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0990fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300a50fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340b00fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380bb0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0c60fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300d20fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0340dd0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0380e80fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "03c0f30fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 5753424, Id: CoinID(0)}, "0300ff0fb17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") + addPayout2("Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr", Amount{Value: 240, Id: CoinID(0)}, "03400a10b17576a9149e1d2860bb0d96a35d4ed2e4c49c7db00f0e0b9288ac") +} diff --git a/ledger/ledgerpayout_genpriv.go b/ledger/ledgerpayout_genpriv.go new file mode 100644 index 0000000..e99ecca --- /dev/null +++ b/ledger/ledgerpayout_genpriv.go @@ -0,0 +1,434 @@ +// It is called by go generate and used to automatically generate pre-computed +// Copyright 2017-2018 The qitmeer developers +// This file is auto generate +package ledger + +import ( + . "github.com/Qitmeer/qng-core/core/types" +) + +func initPriv() { + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "76a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "02400bb17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "028016b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "02c021b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "02002db17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "024038b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 10815342466, Id: CoinID(0)}, "028043b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 4048767123, Id: CoinID(0)}, "028043b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "02c04eb17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "02005ab17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "024065b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "028070b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "02c07bb17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "03008700b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 6766575343, Id: CoinID(0)}, "03409200b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 8097534246, Id: CoinID(0)}, "03409200b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "03809d00b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, 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"0380e80fb17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "03c0f30fb17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 14864109589, Id: CoinID(0)}, "0300ff0fb17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") + addPayout2("RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs", Amount{Value: 15, Id: CoinID(0)}, "03400a10b17576a91437733b37b9f09ce024a5ffbd4570fc1e242c907a88ac") +} diff --git a/ledger/ledgerpayout_gentest.go b/ledger/ledgerpayout_gentest.go new file mode 100644 index 0000000..d596c80 --- /dev/null +++ b/ledger/ledgerpayout_gentest.go @@ -0,0 +1,559 @@ +// It is called by go generate and used to automatically generate pre-computed +// Copyright 2017-2018 The qitmeer developers +// This file is auto generate +package ledger + +import ( + . "github.com/Qitmeer/qng-core/core/types" +) + +func initTest() { + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 50136986301, Id: CoinID(0)}, "76a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 49863013699, Id: CoinID(0)}, "02400bb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 273972602, Id: CoinID(0)}, "02400bb17576a9146bd68046854813036fa042958e7f5ca29606e8d088ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 50136986301, Id: CoinID(0)}, "028016b17576a9146bd68046854813036fa042958e7f5ca29606e8d088ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 49589041097, Id: CoinID(0)}, "02c021b17576a9146bd68046854813036fa042958e7f5ca29606e8d088ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 547945204, Id: CoinID(0)}, "02c021b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 50136986301, Id: CoinID(0)}, "02002db17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 49315068495, Id: CoinID(0)}, "024038b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 821917806, Id: CoinID(0)}, "024038b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 50136986301, Id: CoinID(0)}, "028043b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 49041095893, Id: CoinID(0)}, "02c04eb17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 1095890408, Id: CoinID(0)}, "02c04eb17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 50136986301, Id: CoinID(0)}, "02005ab17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 48767123291, Id: CoinID(0)}, "024065b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 1369863010, Id: CoinID(0)}, "024065b17576a9146bd68046854813036fa042958e7f5ca29606e8d088ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 50136986301, Id: CoinID(0)}, "028070b17576a9146bd68046854813036fa042958e7f5ca29606e8d088ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 48493150689, Id: CoinID(0)}, "02c07bb17576a9146bd68046854813036fa042958e7f5ca29606e8d088ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 1643835612, Id: CoinID(0)}, "02c07bb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 50136986301, Id: CoinID(0)}, "03008700b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 48219178087, Id: CoinID(0)}, "03409200b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 1917808214, Id: CoinID(0)}, "03409200b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 50136986301, Id: CoinID(0)}, "03809d00b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 47945205485, Id: CoinID(0)}, "03c0a800b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 2191780816, Id: CoinID(0)}, "03c0a800b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 50136986301, Id: CoinID(0)}, "0300b400b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 47671232883, Id: CoinID(0)}, "0340bf00b17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 2465753418, Id: CoinID(0)}, "0340bf00b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 50136986301, Id: CoinID(0)}, "0380ca00b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 47397260281, Id: CoinID(0)}, "03c0d500b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 2739726020, Id: CoinID(0)}, "03c0d500b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 50136986301, Id: CoinID(0)}, "0300e100b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX", Amount{Value: 47123287679, Id: CoinID(0)}, "0340ec00b17576a91474a0629b1dd41e24ec0ac4fc1042499e9b3901fb88ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 3013698622, Id: CoinID(0)}, "0340ec00b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 50136986301, Id: CoinID(0)}, "0380f700b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 46849315077, Id: CoinID(0)}, "03c00201b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw", Amount{Value: 3287671224, Id: CoinID(0)}, 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"03c0c60fb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 50136986301, Id: CoinID(0)}, "0300d20fb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 547945339, Id: CoinID(0)}, "0340dd0fb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 49589040962, Id: CoinID(0)}, "0340dd0fb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 50136986301, Id: CoinID(0)}, "0380e80fb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c", Amount{Value: 273972737, Id: CoinID(0)}, "03c0f30fb17576a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 49863013564, Id: CoinID(0)}, "03c0f30fb17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 50136986301, Id: CoinID(0)}, "0300ff0fb17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") + addPayout2("TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn", Amount{Value: 135, Id: CoinID(0)}, "03400a10b17576a914caf0e6f1e0b174131b33bba3ffb3510027230ff588ac") +} diff --git a/ledger/mainpayouts.go b/ledger/mainpayouts.go new file mode 100644 index 0000000..1c8dbbe --- /dev/null +++ b/ledger/mainpayouts.go @@ -0,0 +1,3364 @@ +// This file is ignored during the regular build due to the following build tag. +// It is called by go generate and used to automatically generate pre-computed +// tables used to accelerate operations. +// +build ignore + +//go:generate go run mainpayouts.go ledgerpayout.go +package main + +import ( + "github.com/Qitmeer/qng-core/params" +) + +var MainGeneData = []GenesisInitPayout{} + +// coinid,address,lockAmount,locktype,lockheight +var MainGeneDataFromImport = []string{ + "0,Mma1dExza52FzrU2qW6mpYBMkMXY6QoLVW8,1553495550,1,0", + "0,Mma1H69wdUQfQsygWSyZSdsvTjF1Ln5Coxc,1553495550,1,0", + "0,Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr,2138127709,1,0", + "0,Mma2nuMLeWmf5zKR6StbLkcYLdap7Qjunam,3106991100,1,0", + "0,Mma2ZGibNUq9GegYTiepZpB6tUiG7K8S1p7,1553495550,1,0", + "0,Mma44dShPKMgjoyYZy9Xe6vP5HgjzfN4Svc,3106991100,1,0", + "0,Mma4GziSGXFBA5MDUwg9wVxwxNJLWSGyyWn,131138142234,1,0", + "0,Mma4M1GVUUHFrbLQk6XMJAAaryBBJyzF3YJ,841058934808,1,0", + "0,Mma4Mw5PXsfagLh8ab5tZm5wbmR1CBZQowk,16778040875611,1,0", + "0,Mma4UZDrEDkVneUfoNuFp9DRE5TGKZrur8f,683538042,1,0", + "0,Mma54gj31WmJnRbEzjxiesdT4GQ3HwYwuL6,147744722020,1,0", + "0,Mma5ppS5gLNDaVacUDPs7jivdbSw4B1wkvw,470936810357,1,0", + "0,Mma5pzthtA5L7iXf9FBaSCrAFGV5LhL97W3,1553495550,1,0", + "0,Mma5rEzvB3qXckaTrMLLynm86Qh85rBSfra,3325826840,1,0", + "0,Mma6CnmsvwLrJGX61XxniVioU7PRSc8CVt1,1553495550,1,0", + "0,Mma6CNrdzFkXbhxGhS1Drra4iee2Zvcb9HS,937879140000,1,0", + "0,Mma6m7U8PdPthuh2cf1Q77YkGYnETArgdNa,98398075083,1,0", + "0,Mma6X9zkQm8712dqNdjnmfXj4y7hXswWBLa,3106991100,1,0", + "0,Mma74h9wEkuVVUnDqFMaWBMegn69jDsHa7z,208273109300,1,0", + "0,Mma7jygj79y7nXxFVgwSkMnCNX3g7my21GB,621494122,1,0", + "0,Mma84cPDxdRZBPNFLCJKpexEwnwYpvbaJH3,1553495550,1,0", + "0,Mma88PiYEawjsvaY4VjiyJZxM3qyf1aFs1M,2743252234233,1,0", + "0,Mma8DnvqbXtQf3ppqya7dC4qqVoFnEJ2XcY,10793138170214,1,0", + "0,Mma8VRUXS17ssYDdLFkGu8jVfz4Sx3SvH8m,3106991100,1,0", + "0,Mma92nEQ7VsujNtzkXDCQQAUgpv9x6NpVjx,1553495550,1,0", + "0,Mma9ezvbzSYNLEXPasWokx1GaoDtUNe1682,328255266777,1,0", + "0,MmaaU8xuminEv1U6EaDSpoMXd9VeahdmmB7,519132022209,1,0", + "0,MmaBLQmcpQZ9ZvKyWckxE2X8BSMmDfUA1Ze,1553495550,1,0", + "0,MmaBrawhKaJRfa3Wkzjvq3sgDsmPJn6LhPB,1553495550,1,0", + "0,MmaBu1z8QmYjBgmTrZavSqc2W8ysfmY8Zjs,93064740082,1,0", + "0,MmabuiTacpDrX1obDoYVeVdJATVGfpW3vT5,1553495550,1,0", + "0,MmabXHLajgr3jNt8nNkAd87ADGbxknCWqLY,74865651565,1,0", + "0,MmacKJ2LyddMLVduFyqScMKFDWyLXmRRPsh,5131713627907,1,0", + "0,Mmackj9MVUer24ZyR18qw7jDkqVSi5mPtMj,1553495550,1,0", + "0,MmaCQ5yfj5CpG64yuS71YWQxKpWr2sVYygw,1553495550,1,0", + "0,Mmact2w9vQ7SRNqWq7XtPxQXczrPSVRNBqo,1553495550,1,0", + "0,MmacwZ5mqtPmM5gZTXbi3xna1h6PC2jLWMw,8892546947470,1,0", + "0,MmacZ7Havvsahm883SNhivdywmxkzdtgiig,34725395810,1,0", + "0,Mmad3vzQDgTD8Kc5Mc8WXKKYPtFWLG2YSN2,452228735446,1,0", + "0,MmaDCd36wYTTsCqSYHVTXdcjeeSn6hnKCzk,4660486650,1,0", + "0,MmadPhGvSdEN21UBqxqgpNamy7JpXr7Ck8N,4660486650,1,0", + "0,MmadRD7HtASHv9JCaRUCCEXnz9ffGwFX8wt,1553495550,1,0", + "0,MmaedhrZswNsD6v1CydMYYJeUweyLv8Lnh4,1553495550,1,0", + "0,MmaEFYU8eqD7FdfsnXfkzmLdpeW2JoTk3Fw,1553495550,1,0", + "0,MmaehdAM91DbbKZFWekJ1hPmn2E47sBHzzq,1553495550,1,0", + "0,MmaESt7X9UGJHYaQSwAgi17Dj9igFracKZd,137077539325,1,0", + "0,MmafeswthRtnh83tyAPAxtxBczZRBg4P4rX,3106991100,1,0", + "0,MmaFFtDAPtSNuvEW8DVS3gmHmv9sDxaovYr,1553495550,1,0", + "0,Mmafpbss6RQTEtr29MqYa9QYcmyff7Bw56D,1553495550,1,0", + "0,MmafT97QCME1Raz9zQmqkEG9NTjTZXAYiSu,1826093980266,1,0", + "0,MmagjDJgwzm2KuppVB3eDA1YiKjaGCetosf,3106991100,1,0", + "0,MmagjHwSPZkG8h7NczQsEEdYzGMbjo7EHf9,1553495550,1,0", + "0,MmaGmiCRg21EEF95aABhGSXKs7xkoWnNX1K,1023231003491,1,0", + "0,MmagMmkDjhRks6cAtZVtz4UhHPziWM7aspx,4279489903900,1,0", + "0,MmagRm6rce8cj5LwpNVFHY1waX75YM6Kp8m,3106991100,1,0", + "0,MmagroJv1dekzfeKJyXS1xZCV7pkdVhdLoc,1553495550,1,0", + "0,MmagwgvuzmAQxncHG4N5Mu9P1PZ97TQGtGF,30998522610,1,0", + "0,MmagXkaxSMWc4cc4fWLGkw9g8gKEUX8JgBg,3106991100,1,0", + "0,Mmah1RLFDExUR6WpSynQZ3VXRJCDtxMUjb4,6917508123163,1,0", + "0,MmahP2Jx9u6fCLZLG3DWPCovoEynMwnnj2f,1553495550,1,0", + "0,MmaHUnh9MbBtMqSgmMHqyHQDRQYrLDHDvBx,1553495550,1,0", + "0,MmahUQLd2jb5HqN9V2zDDeBDEPCRBaMN5gz,466048665000,1,0", + "0,MmaHwcCeB5viMRPuSaALCFJgmKfaMqys8sU,1553495550,1,0", + "0,MmaiPqGwhEc2hWsiV6jgpWVxa96UKMBA8m6,1553495550,1,0", + "0,Mmaj4zWjh79eKhwbkxevMzSwH5csUARzHh6,112717007691,1,0", + "0,MmaJ67hE15Q7Lc7tK9fp6tr6jiEyLm2xkMq,903077659883,1,0", + "0,MmaJ7kUboJeMMZPACCCY4kiDQqZoBqzDjq2,1553495550,1,0", + "0,MmaJg2xa9did7bRApsvrBvD6emZDSiWxxwC,1553495550,1,0", + "0,MmajjLRP5RwCcPs7i5fE7L76Y1LSrzjToRD,1553495550,1,0", + "0,MmaJtdqByjZQGbytt1x4ekH68U3oefX56wU,1553495550,1,0", + "0,MmajuMbuSdfpv6EiygV1grQ1pCaor2zRvEv,1553495550,1,0", + "0,Mmak6AUxPx4nH6bAArMj6uw2sU83twYe7Ws,1553495550,1,0", + "0,Mmak7oKLSXB6gizZU448YoYaAW4dosens3L,1228158376794,1,0", + "0,MmaKdUyunXcgFTYUwCA3MrkpiwMWQQEFQG7,1864171927,1,0", + "0,MmakfdHmCsAZsfXaTQZ8sCuJzBqycRPLWsE,1553495550,1,0", + "0,MmakJKfXLEMDawF2kFDSuCHvgmS79SVzx6L,98388051500,1,0", + "0,MmaKqPxWyRBn5wcc3wUExGRt5deAcnoRVe5,1553495550,1,0", + "0,MmaKVr8bjtZWPPQ3x3eChRfsVNfXbscZwDu,9743938355,1,0", + "0,MmaL5nxbawqKJcSPF37QFoSVDXoNk2PfEKq,41523221433,1,0", + "0,MmaLZ7hNzUEQwyrwVztxHSxFNtDtTUi14uh,2071327400000,1,0", + "0,MmamczaEcTB6HpeHGALpZYSBYMmJqrx6vsr,1553495550,1,0", + "0,MmamJbkq8jNp6btzDbBnyTjc7pGxiXcaBN6,1553495550,1,0", + "0,MmaMXasdaN2AqNCUcQccNvxyDogc8qSYTeW,98388051500,1,0", + "0,MmanfZc9XorDfoZUvHun1xjD9BcFkVairj3,1553495550,1,0", + "0,MmaNq8a68reRAoWN2E6ULphFHLiWRck9Rt2,1553495550,1,0", + "0,MmanQnCctxbFKxV8J8XHVmyUXkkvUXg4jXv,1553495550,1,0", + "0,MmansnNE4VTbuJrb3Wx3RLmVgjvgeE2MfwS,21113983913883,1,0", + "0,MmanVbTi2BhjEu6eQeh5aqwzVQMD6xoDsjs,265129907200,1,0", + "0,MmaNxd4A3XuEPPJ6RFam1kwk3s24ZsdwvNn,1553495550,1,0", + "0,MmaoNLnzo2s7DJvCBkecRGro2bqKWKTvZ17,1553495550,1,0", + "0,MmaQEQqfmm3BiJtS4bidqcmBfjSU5aaKUxT,1202274375330,1,0", + "0,MmaqJZpGKy8LtitbGGNBvQoh5yTqzyFcsTi,1553495550,1,0", + "0,MmaqLqkHXEJxpgTGfNX5z4NNZ8jd1S1Rb5B,1553495550,1,0", + "0,MmaqUvU2LZd6iBpuqPazJwJYNpo3PpQR3o6,1553495550,1,0", + "0,Mmar8CAZ9XBrDDYqLn3hud9iLMuxp2CmS4x,3106991100,1,0", + "0,MmarDTYbyjaRar7VHvocPK1GDtxG5cTbgHS,530667801687,1,0", + "0,MmaRsPzNNQ4gVyj51Qn52gkoxSyp5RGNkeG,1553495550,1,0", + "0,MmaRWDrSbjNsjz4wdSSAe7LqDxQ8V3dJzPX,2138127709,1,0", + "0,MmasehwWUhGDpzLTLuUXCMabocGb37Zi8mc,3106991100,1,0", + "0,MmaSnnD6Gqtfk6Y1Wphz5UCm9sZMv2JA3tw,1143737478254,1,0", + "0,MmaStQD6JUhWXtXgwpcCGSpEw9zLguwdXQS,1553495550,1,0", + "0,MmasUJQYUDzXBNCJy74PHzSAY2Ma75EKtup,1325649536,1,0", + "0,MmaT8aoJ3ysjkbC8ki8ackq6KbHRZbMWXN3,1553495550,1,0", + "0,MmaTdCkYUre9JnhTeY8Xx8Zt37RAHn1o3xB,1553495550,1,0", + "0,MmaTohWDKbPbn4xAcm6sfnmYHrjwwPzSyMh,98388051500,1,0", + "0,MmatoSujZaL468yppyjKG96LKh8cB3FWHpV,1553495550,1,0", + "0,MmatpUF7VV3tLbCtAzRr2Xxpnoew77YDi9e,1553495550,1,0", + "0,MmatZcRQzR6xVKA8QvudCEd39zMsFMQkA93,98388051500,1,0", + "0,MmaU3NoUYcZxVgL2DruxBztDodzgAHTxcE4,1553495550,1,0", + "0,MmaubsfZQ7LjSmbub116ULZMjZKfX6hP61F,27308017708084,1,0", + "0,MmauwfXjTpvvgTVbySJVYgKR3ipm49R1JhD,105466709323,1,0", + "0,MmaV6Cn3jPT3SuhgaWm9G7voNwjPsxHJfPC,1553495550,1,0", + "0,Mmawez8i6GcEeAH7xbvDQykrG2VDX2FMx9o,1553495550,1,0", + "0,MmaWtgwJWTm9Vpdh6xtjDdsXsDH9eJcHPbi,1553495550,1,0", + "0,MmaX4PG5U5gBaB2CDBgZNLB1wYwZNdQGQsZ,3106991100,1,0", + "0,MmaXC2F3NvtsfQTLhtLehf5K1uwwPDTAbh8,1553495550,1,0", + 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"0,MmansnNE4VTbuJrb3Wx3RLmVgjvgeE2MfwS,10000000000000,1,0", + "0,MmW8HqXGrYput4F2Bx9tk8FV5xeGBqz7cZT,15000000000000,1,0", + "0,Mmg746Tp5gyHZvpi4kdETv8A6Z7NtbEPn2z,6000000000000,1,0", + "0,MmQNeiqRRk5iSzZ8PedR3oV7LKn5NHah8u6,6000000000000,1,0", + "0,MmdaMBxafhTbz6jvTmC513yBRHziuWuQXpv,5000000000000,1,0", + "0,MmSMYwC86eFmQ6DcEimkxUVuf55rntAqXqY,5000000000000,1,0", + "0,MmNKboRciPdpfCWRafpAZ6W6u21ST34ZwmN,5000000000000,1,0", + "0,MmSsvQjn1Xx6cBz1yrz3Jzy7BL5pTHnjDDA,3000000000000,1,0", + "0,Mmi41SBYqk5AzBrdBvERbsLviLfbXHcM2RC,35000000000000,1,0", + "0,MmckFNX31PsJEVMAEPfBNmuJxNa6875CEz3,25000000000000,1,0", + "0,MmdjjVhp5NNfoHmXc9muaywr5FiaswdGfMt,15000000000000,1,0", + "0,MmTcWSYjy6UeZHjR5mvWSLHfoTPvKxDdcQ5,10000000000000,1,0", + "0,MmaQLR8hdA2t4Qi61pKjyg3qfkFdZGKxwbF,30480000000000,1,0", + "0,Mmgtbce51YiHyPmn327jY4P28dJoBEA42Qf,420480000000000,2,5256000", +} + +func main() { + GeneratePayoutFile(params.MainNetParam.Params, MainGeneData, MainGeneDataFromImport) +} diff --git a/ledger/mixpayouts.go b/ledger/mixpayouts.go new file mode 100644 index 0000000..f2e6597 --- /dev/null +++ b/ledger/mixpayouts.go @@ -0,0 +1,23 @@ +// This file is ignored during the regular build due to the following build tag. +// It is called by go generate and used to automatically generate pre-computed +// tables used to accelerate operations. +// +build ignore + +//go:generate go run mixpayouts.go ledgerpayout.go +package main + +import ( + "github.com/Qitmeer/qng-core/params" +) + +var MixGeneData = []GenesisInitPayout{} + +// coinid,address,lockAmount,locktype,lockheight +var MixGeneDataFromImport = []string{ + // PMEER and HLC mapping data + "0,Mma1MhE6ETFLNNTcS6PFnHtmoesaXNBC6kr,2100000000,1,0", +} + +func main() { + GeneratePayoutFile(params.MixNetParam.Params, MixGeneData, MixGeneDataFromImport) +} diff --git a/ledger/privpayouts.go b/ledger/privpayouts.go new file mode 100644 index 0000000..918516e --- /dev/null +++ b/ledger/privpayouts.go @@ -0,0 +1,29 @@ +// This file is ignored during the regular build due to the following build tag. +// It is called by go generate and used to automatically generate pre-computed +// tables used to accelerate operations. +// +build ignore + +//go:generate go run privpayouts.go ledgerpayout.go + +package main + +import ( + "github.com/Qitmeer/qng-core/params" +) + +var PrivGeneData = []GenesisInitPayout{} + +// coinid,address,lockAmount,locktype,lockheight +var PrivGeneDataFromImport = []string{ + "0,RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs,5000000000000,0,0", + "0,RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs,50000000000,0,0", + "0,RmHFARk5xmoMNUVJ6UCHFiWQML1vxwUhw1b,10000000000,2,2", + "0,RmBKxMWg4C4EMzYowisDEGSBwmnR6tPgjLs,5000000000000,1,0", + "0,RmHFARk5xmoMNUVJ6UCHFiWQML1vxwUhw1b,125400000000,1,0", + "0,Rm7B35PAP24GkZW1Za2gKrSiigZQ7M46KfL,100000000000,1,0", + "0,RmCM99PchggcoZWkMVBWqAMHBcsn3T6VetG,200000000000,1,0", +} + +func main() { + GeneratePayoutFile(params.PrivNetParam.Params, PrivGeneData, PrivGeneDataFromImport) +} diff --git a/ledger/testpayouts.go b/ledger/testpayouts.go new file mode 100644 index 0000000..840af5a --- /dev/null +++ b/ledger/testpayouts.go @@ -0,0 +1,26 @@ +// This file is ignored during the regular build due to the following build tag. +// It is called by go generate and used to automatically generate pre-computed +// tables used to accelerate operations. +// +build ignore + +//go:generate go run testpayouts.go ledgerpayout.go +package main + +import ( + "github.com/Qitmeer/qng-core/params" +) + +// coinid,address,lockAmount,locktype,lockheight +var TestGeneData = []GenesisInitPayout{} + +// coinid,address,lockAmount,locktype,lockheight +var TestGeneDataFromImport = []string{ + "0,TnNbgxLpoPJCLTcsJbHCzpzcHUouTtfbP8c,5000000000000,1,0", + "0,TnW8Lm56EyS5ax183uy4vKtm3snG2fhkffn,3300000000000,1,0", + "0,TnNFxCA8a9KRUukU2JsWdMjT7BKeGUXjTdX,5000000000000,1,0", + "0,TnMTUwUDxJHH2HhM1xABRtTSXvGNvU4uDbw,5000000000000,1,0", +} + +func main() { + GeneratePayoutFile(params.TestNetParam.Params, TestGeneData, TestGeneDataFromImport) +} diff --git a/log/CONTRIBUTORS b/log/CONTRIBUTORS new file mode 100644 index 0000000..a086671 --- /dev/null +++ b/log/CONTRIBUTORS @@ -0,0 +1,11 @@ +Contributors to log15: + +- Aaron L +- Alan Shreve +- Chris Hines +- Ciaran Downey +- Dmitry Chestnykh +- Evan Shaw +- Péter Szilágyi +- Trevor Gattis +- Vincent Vanackere diff --git a/log/LICENSE b/log/LICENSE new file mode 100644 index 0000000..5f0d1fb --- /dev/null +++ b/log/LICENSE @@ -0,0 +1,13 @@ +Copyright 2014 Alan Shreve + +Licensed under the Apache License, Version 2.0 (the "License"); +you may not use this file except in compliance with the License. +You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + +Unless required by applicable law or agreed to in writing, software +distributed under the License is distributed on an "AS IS" BASIS, +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +See the License for the specific language governing permissions and +limitations under the License. diff --git a/log/README.md b/log/README.md new file mode 100644 index 0000000..b447657 --- /dev/null +++ b/log/README.md @@ -0,0 +1,77 @@ +![obligatory xkcd](http://imgs.xkcd.com/comics/standards.png) + +# log15 [![godoc reference](https://godoc.org/github.com/inconshreveable/log15?status.png)](https://godoc.org/github.com/inconshreveable/log15) [![Build Status](https://travis-ci.org/inconshreveable/log15.svg?branch=master)](https://travis-ci.org/inconshreveable/log15) + +Package log15 provides an opinionated, simple toolkit for best-practice logging in Go (golang) that is both human and machine readable. It is modeled after the Go standard library's [`io`](http://golang.org/pkg/io/) and [`net/http`](http://golang.org/pkg/net/http/) packages and is an alternative to the standard library's [`log`](http://golang.org/pkg/log/) package. + +## Features +- A simple, easy-to-understand API +- Promotes structured logging by encouraging use of key/value pairs +- Child loggers which inherit and add their own private context +- Lazy evaluation of expensive operations +- Simple Handler interface allowing for construction of flexible, custom logging configurations with a tiny API. +- Color terminal support +- Built-in support for logging to files, streams, syslog, and the network +- Support for forking records to multiple handlers, buffering records for output, failing over from failed handler writes, + more + +## Versioning +The API of the master branch of log15 should always be considered unstable. If you want to rely on a stable API, +you must vendor the library. + +## Importing + +```go +import log "github.com/inconshreveable/log15" +``` + +## Examples + +```go +// all loggers can have key/value context +srvlog := log.New("module", "app/server") + +// all log messages can have key/value context +srvlog.Warn("abnormal conn rate", "rate", curRate, "low", lowRate, "high", highRate) + +// child loggers with inherited context +connlog := srvlog.New("raddr", c.RemoteAddr()) +connlog.Info("connection open") + +// lazy evaluation +connlog.Debug("ping remote", "latency", log.Lazy{pingRemote}) + +// flexible configuration +srvlog.SetHandler(log.MultiHandler( + log.StreamHandler(os.Stderr, log.LogfmtFormat()), + log.LvlFilterHandler( + log.LvlError, + log.Must.FileHandler("errors.json", log.JSONFormat())))) +``` + +Will result in output that looks like this: + +``` +WARN[06-17|21:58:10] abnormal conn rate module=app/server rate=0.500 low=0.100 high=0.800 +INFO[06-17|21:58:10] connection open module=app/server raddr=10.0.0.1 +``` + +## Breaking API Changes +The following commits broke API stability. This reference is intended to help you understand the consequences of updating to a newer version +of log15. + +- 57a084d014d4150152b19e4e531399a7145d1540 - Added a `Get()` method to the `Logger` interface to retrieve the current handler +- 93404652ee366648fa622b64d1e2b67d75a3094a - `Record` field `Call` changed to `stack.Call` with switch to `github.com/go-stack/stack` +- a5e7613673c73281f58e15a87d2cf0cf111e8152 - Restored `syslog.Priority` argument to the `SyslogXxx` handler constructors + +## FAQ + +### The varargs style is brittle and error prone! Can I have type safety please? +Yes. Use `log.Ctx`: + +```go +srvlog := log.New(log.Ctx{"module": "app/server"}) +srvlog.Warn("abnormal conn rate", log.Ctx{"rate": curRate, "low": lowRate, "high": highRate}) +``` + +## License +Apache diff --git a/log/README_ETHEREUM.md b/log/README_ETHEREUM.md new file mode 100644 index 0000000..f6c42cc --- /dev/null +++ b/log/README_ETHEREUM.md @@ -0,0 +1,5 @@ +This package is a fork of https://github.com/inconshreveable/log15, with some +minor modifications required by the go-ethereum codebase: + + * Support for log level `trace` + * Modified behavior to exit on `critical` failure diff --git a/log/closure.go b/log/closure.go new file mode 100644 index 0000000..66024bb --- /dev/null +++ b/log/closure.go @@ -0,0 +1,14 @@ +package log + +// LogClosure is a closure that can be printed with %v to be used to +// generate expensive-to-create data for a detailed log level and avoid doing +// the work if the data isn't printed. +type LogClosure func() string + +func (c LogClosure) String() string { + return c() +} + +func newLogClosure(c func() string) LogClosure { + return LogClosure(c) +} diff --git a/log/doc.go b/log/doc.go new file mode 100644 index 0000000..bff2f49 --- /dev/null +++ b/log/doc.go @@ -0,0 +1,333 @@ +/* +Package log15 provides an opinionated, simple toolkit for best-practice logging that is +both human and machine readable. It is modeled after the standard library's io and net/http +packages. + +This package enforces you to only log key/value pairs. Keys must be strings. Values may be +any type that you like. The default output format is logfmt, but you may also choose to use +JSON instead if that suits you. Here's how you log: + + log.Info("page accessed", "path", r.URL.Path, "user_id", user.id) + +This will output a line that looks like: + + lvl=info t=2014-05-02T16:07:23-0700 msg="page accessed" path=/org/71/profile user_id=9 + +Getting Started + +To get started, you'll want to import the library: + + import log "github.com/inconshreveable/log15" + + +Now you're ready to start logging: + + func main() { + log.Info("Program starting", "args", os.Args()) + } + + +Convention + +Because recording a human-meaningful message is common and good practice, the first argument to every +logging method is the value to the *implicit* key 'msg'. + +Additionally, the level you choose for a message will be automatically added with the key 'lvl', and so +will the current timestamp with key 't'. + +You may supply any additional context as a set of key/value pairs to the logging function. log15 allows +you to favor terseness, ordering, and speed over safety. This is a reasonable tradeoff for +logging functions. You don't need to explicitly state keys/values, log15 understands that they alternate +in the variadic argument list: + + log.Warn("size out of bounds", "low", lowBound, "high", highBound, "val", val) + +If you really do favor your type-safety, you may choose to pass a log.Ctx instead: + + log.Warn("size out of bounds", log.Ctx{"low": lowBound, "high": highBound, "val": val}) + + +Context loggers + +Frequently, you want to add context to a logger so that you can track actions associated with it. An http +request is a good example. You can easily create new loggers that have context that is automatically included +with each log line: + + requestlogger := log.New("path", r.URL.Path) + + // later + requestlogger.Debug("db txn commit", "duration", txnTimer.Finish()) + +This will output a log line that includes the path context that is attached to the logger: + + lvl=dbug t=2014-05-02T16:07:23-0700 path=/repo/12/add_hook msg="db txn commit" duration=0.12 + + +Handlers + +The Handler interface defines where log lines are printed to and how they are formated. Handler is a +single interface that is inspired by net/http's handler interface: + + type Handler interface { + Log(r *Record) error + } + + +Handlers can filter records, format them, or dispatch to multiple other Handlers. +This package implements a number of Handlers for common logging patterns that are +easily composed to create flexible, custom logging structures. + +Here's an example handler that prints logfmt output to Stdout: + + handler := log.StreamHandler(os.Stdout, log.LogfmtFormat()) + +Here's an example handler that defers to two other handlers. One handler only prints records +from the rpc package in logfmt to standard out. The other prints records at Error level +or above in JSON formatted output to the file /var/log/service.json + + handler := log.MultiHandler( + log.LvlFilterHandler(log.LvlError, log.Must.FileHandler("/var/log/service.json", log.JSONFormat())), + log.MatchFilterHandler("pkg", "app/rpc" log.StdoutHandler()) + ) + +Logging File Names and Line Numbers + +This package implements three Handlers that add debugging information to the +context, CallerFileHandler, CallerFuncHandler and CallerStackHandler. Here's +an example that adds the source file and line number of each logging call to +the context. + + h := log.CallerFileHandler(log.StdoutHandler) + log.Root().SetHandler(h) + ... + log.Error("open file", "err", err) + +This will output a line that looks like: + + lvl=eror t=2014-05-02T16:07:23-0700 msg="open file" err="file not found" caller=data.go:42 + +Here's an example that logs the call stack rather than just the call site. + + h := log.CallerStackHandler("%+v", log.StdoutHandler) + log.Root().SetHandler(h) + ... + log.Error("open file", "err", err) + +This will output a line that looks like: + + lvl=eror t=2014-05-02T16:07:23-0700 msg="open file" err="file not found" stack="[pkg/data.go:42 pkg/cmd/main.go]" + +The "%+v" format instructs the handler to include the path of the source file +relative to the compile time GOPATH. The github.com/go-stack/stack package +documents the full list of formatting verbs and modifiers available. + +Custom Handlers + +The Handler interface is so simple that it's also trivial to write your own. Let's create an +example handler which tries to write to one handler, but if that fails it falls back to +writing to another handler and includes the error that it encountered when trying to write +to the primary. This might be useful when trying to log over a network socket, but if that +fails you want to log those records to a file on disk. + + type BackupHandler struct { + Primary Handler + Secondary Handler + } + + func (h *BackupHandler) Log (r *Record) error { + err := h.Primary.Log(r) + if err != nil { + r.Ctx = append(ctx, "primary_err", err) + return h.Secondary.Log(r) + } + return nil + } + +This pattern is so useful that a generic version that handles an arbitrary number of Handlers +is included as part of this library called FailoverHandler. + +Logging Expensive Operations + +Sometimes, you want to log values that are extremely expensive to compute, but you don't want to pay +the price of computing them if you haven't turned up your logging level to a high level of detail. + +This package provides a simple type to annotate a logging operation that you want to be evaluated +lazily, just when it is about to be logged, so that it would not be evaluated if an upstream Handler +filters it out. Just wrap any function which takes no arguments with the log.Lazy type. For example: + + func factorRSAKey() (factors []int) { + // return the factors of a very large number + } + + log.Debug("factors", log.Lazy{factorRSAKey}) + +If this message is not logged for any reason (like logging at the Error level), then +factorRSAKey is never evaluated. + +Dynamic context values + +The same log.Lazy mechanism can be used to attach context to a logger which you want to be +evaluated when the message is logged, but not when the logger is created. For example, let's imagine +a game where you have Player objects: + + type Player struct { + name string + alive bool + log.Logger + } + +You always want to log a player's name and whether they're alive or dead, so when you create the player +object, you might do: + + p := &Player{name: name, alive: true} + p.Logger = log.New("name", p.name, "alive", p.alive) + +Only now, even after a player has died, the logger will still report they are alive because the logging +context is evaluated when the logger was created. By using the Lazy wrapper, we can defer the evaluation +of whether the player is alive or not to each log message, so that the log records will reflect the player's +current state no matter when the log message is written: + + p := &Player{name: name, alive: true} + isAlive := func() bool { return p.alive } + player.Logger = log.New("name", p.name, "alive", log.Lazy{isAlive}) + +Terminal Format + +If log15 detects that stdout is a terminal, it will configure the default +handler for it (which is log.StdoutHandler) to use TerminalFormat. This format +logs records nicely for your terminal, including color-coded output based +on log level. + +Error Handling + +Becasuse log15 allows you to step around the type system, there are a few ways you can specify +invalid arguments to the logging functions. You could, for example, wrap something that is not +a zero-argument function with log.Lazy or pass a context key that is not a string. Since logging libraries +are typically the mechanism by which errors are reported, it would be onerous for the logging functions +to return errors. Instead, log15 handles errors by making these guarantees to you: + +- Any log record containing an error will still be printed with the error explained to you as part of the log record. + +- Any log record containing an error will include the context key LOG15_ERROR, enabling you to easily +(and if you like, automatically) detect if any of your logging calls are passing bad values. + +Understanding this, you might wonder why the Handler interface can return an error value in its Log method. Handlers +are encouraged to return errors only if they fail to write their log records out to an external source like if the +syslog daemon is not responding. This allows the construction of useful handlers which cope with those failures +like the FailoverHandler. + +Library Use + +log15 is intended to be useful for library authors as a way to provide configurable logging to +users of their library. Best practice for use in a library is to always disable all output for your logger +by default and to provide a public Logger instance that consumers of your library can configure. Like so: + + package yourlib + + import "github.com/inconshreveable/log15" + + var Log = log.New() + + func init() { + Log.SetHandler(log.DiscardHandler()) + } + +Users of your library may then enable it if they like: + + import "github.com/inconshreveable/log15" + import "example.com/yourlib" + + func main() { + handler := // custom handler setup + yourlib.Log.SetHandler(handler) + } + +Best practices attaching logger context + +The ability to attach context to a logger is a powerful one. Where should you do it and why? +I favor embedding a Logger directly into any persistent object in my application and adding +unique, tracing context keys to it. For instance, imagine I am writing a web browser: + + type Tab struct { + url string + render *RenderingContext + // ... + + Logger + } + + func NewTab(url string) *Tab { + return &Tab { + // ... + url: url, + + Logger: log.New("url", url), + } + } + +When a new tab is created, I assign a logger to it with the url of +the tab as context so it can easily be traced through the logs. +Now, whenever we perform any operation with the tab, we'll log with its +embedded logger and it will include the tab title automatically: + + tab.Debug("moved position", "idx", tab.idx) + +There's only one problem. What if the tab url changes? We could +use log.Lazy to make sure the current url is always written, but that +would mean that we couldn't trace a tab's full lifetime through our +logs after the user navigate to a new URL. + +Instead, think about what values to attach to your loggers the +same way you think about what to use as a key in a SQL database schema. +If it's possible to use a natural key that is unique for the lifetime of the +object, do so. But otherwise, log15's ext package has a handy RandId +function to let you generate what you might call "surrogate keys" +They're just random hex identifiers to use for tracing. Back to our +Tab example, we would prefer to set up our Logger like so: + + import logext "github.com/inconshreveable/log15/ext" + + t := &Tab { + // ... + url: url, + } + + t.Logger = log.New("id", logext.RandId(8), "url", log.Lazy{t.getUrl}) + return t + +Now we'll have a unique traceable identifier even across loading new urls, but +we'll still be able to see the tab's current url in the log messages. + +Must + +For all Handler functions which can return an error, there is a version of that +function which will return no error but panics on failure. They are all available +on the Must object. For example: + + log.Must.FileHandler("/path", log.JSONFormat) + log.Must.NetHandler("tcp", ":1234", log.JSONFormat) + +Inspiration and Credit + +All of the following excellent projects inspired the design of this library: + +code.google.com/p/log4go + +github.com/op/go-logging + +github.com/technoweenie/grohl + +github.com/Sirupsen/logrus + +github.com/kr/logfmt + +github.com/spacemonkeygo/spacelog + +golang's stdlib, notably io and net/http + +The Name + +https://xkcd.com/927/ + +*/ +package log diff --git a/log/format.go b/log/format.go new file mode 100644 index 0000000..35914f5 --- /dev/null +++ b/log/format.go @@ -0,0 +1,363 @@ +package log + +import ( + "bytes" + "encoding/json" + "fmt" + "reflect" + "strconv" + "strings" + "sync" + "sync/atomic" + "time" + "unicode/utf8" +) + +const ( + timeFormat = "2006-01-02T15:04:05-0700" + termTimeFormat = "2006-01-02|15:04:05.000" + floatFormat = 'f' + termMsgJust = 35 +) + +// locationTrims are trimmed for display to avoid unwieldy log lines. +var locationTrims = []string{ + "github.com/Qitmeer/qng-core", +} + +// PrintOrigins sets or unsets log location (file:line) printing for terminal +// format output. +func PrintOrigins(print bool) { + if print { + atomic.StoreUint32(&locationEnabled, 1) + } else { + atomic.StoreUint32(&locationEnabled, 0) + } +} + +// locationEnabled is an atomic flag controlling whether the terminal formatter +// should append the log locations too when printing entries. +var locationEnabled uint32 + +// locationLength is the maxmimum path length encountered, which all logs are +// padded to to aid in alignment. +var locationLength uint32 + +// fieldPadding is a global map with maximum field value lengths seen until now +// to allow padding log contexts in a bit smarter way. +var fieldPadding = make(map[string]int) + +// fieldPaddingLock is a global mutex protecting the field padding map. +var fieldPaddingLock sync.RWMutex + +type Format interface { + Format(r *Record) []byte +} + +// FormatFunc returns a new Format object which uses +// the given function to perform record formatting. +func FormatFunc(f func(*Record) []byte) Format { + return formatFunc(f) +} + +type formatFunc func(*Record) []byte + +func (f formatFunc) Format(r *Record) []byte { + return f(r) +} + +// TerminalStringer is an analogous interface to the stdlib stringer, allowing +// own types to have custom shortened serialization formats when printed to the +// screen. +type TerminalStringer interface { + TerminalString() string +} + +// TerminalFormat formats log records optimized for human readability on +// a terminal with color-coded level output and terser human friendly timestamp. +// This format should only be used for interactive programs or while developing. +// +// [TIME] [LEVEL] MESAGE key=value key=value ... +// +// Example: +// +// [May 16 20:58:45] [DBUG] remove route ns=haproxy addr=127.0.0.1:50002 +// +func TerminalFormat(usecolor bool) Format { + return FormatFunc(func(r *Record) []byte { + var color = 0 + if usecolor { + switch r.Lvl { + case LvlCrit: + color = 35 + case LvlError: + color = 31 + case LvlWarn: + color = 33 + case LvlInfo: + color = 32 + case LvlDebug: + color = 36 + case LvlTrace: + color = 34 + } + } + + b := &bytes.Buffer{} + lvl := r.Lvl.AlignedString() + if atomic.LoadUint32(&locationEnabled) != 0 { + // Log origin printing was requested, format the location path and line number + location := fmt.Sprintf("%+v", r.Call) + for _, prefix := range locationTrims { + location = strings.TrimPrefix(location, prefix) + } + // Maintain the maximum location length for fancyer alignment + align := int(atomic.LoadUint32(&locationLength)) + if align < len(location) { + align = len(location) + atomic.StoreUint32(&locationLength, uint32(align)) + } + padding := strings.Repeat(" ", align-len(location)) + + // Assemble and print the log heading + if color > 0 { + fmt.Fprintf(b, "%s [\x1b[%dm%s|%s\x1b[0m]%s %s", r.Time.Format(termTimeFormat), color, lvl, location, padding, r.Msg) + } else { + fmt.Fprintf(b, "%s [%s|%s]%s %s ", r.Time.Format(termTimeFormat), lvl, location, padding, r.Msg) + } + } else { + if color > 0 { + fmt.Fprintf(b, "%s [\x1b[%dm%s\x1b[0m] %s ", r.Time.Format(termTimeFormat), color, lvl, r.Msg) + } else { + fmt.Fprintf(b, "%s [%s] %s ", r.Time.Format(termTimeFormat), lvl, r.Msg) + } + } + // try to justify the log output for short messages + length := utf8.RuneCountInString(r.Msg) + if len(r.Ctx) > 0 && length < termMsgJust { + b.Write(bytes.Repeat([]byte{' '}, termMsgJust-length)) + } + // print the keys logfmt style + logfmt(b, r.Ctx, color, true) + return b.Bytes() + }) +} + +// LogfmtFormat prints records in logfmt format, an easy machine-parseable but human-readable +// format for key/value pairs. +// +// For more details see: http://godoc.org/github.com/kr/logfmt +// +func LogfmtFormat() Format { + return FormatFunc(func(r *Record) []byte { + common := []interface{}{r.KeyNames.Time, r.Time, r.KeyNames.Lvl, r.Lvl, r.KeyNames.Msg, r.Msg} + buf := &bytes.Buffer{} + logfmt(buf, append(common, r.Ctx...), 0, false) + return buf.Bytes() + }) +} + +func logfmt(buf *bytes.Buffer, ctx []interface{}, color int, term bool) { + for i := 0; i < len(ctx); i += 2 { + if i != 0 { + buf.WriteByte(' ') + } + + k, ok := ctx[i].(string) + v := formatLogfmtValue(ctx[i+1], term) + if !ok { + k, v = errorKey, formatLogfmtValue(k, term) + } + + // XXX: we should probably check that all of your key bytes aren't invalid + fieldPaddingLock.RLock() + padding := fieldPadding[k] + fieldPaddingLock.RUnlock() + + length := utf8.RuneCountInString(v) + if padding < length { + padding = length + + fieldPaddingLock.Lock() + fieldPadding[k] = padding + fieldPaddingLock.Unlock() + } + if color > 0 { + fmt.Fprintf(buf, "\x1b[%dm%s\x1b[0m=", color, k) + } else { + buf.WriteString(k) + buf.WriteByte('=') + } + buf.WriteString(v) + if i < len(ctx)-2 { + buf.Write(bytes.Repeat([]byte{' '}, padding-length)) + } + } + buf.WriteByte('\n') +} + +// JSONFormat formats log records as JSON objects separated by newlines. +// It is the equivalent of JSONFormatEx(false, true). +func JSONFormat() Format { + return JSONFormatEx(false, true) +} + +// JSONFormatEx formats log records as JSON objects. If pretty is true, +// records will be pretty-printed. If lineSeparated is true, records +// will be logged with a new line between each record. +func JSONFormatEx(pretty, lineSeparated bool) Format { + jsonMarshal := json.Marshal + if pretty { + jsonMarshal = func(v interface{}) ([]byte, error) { + return json.MarshalIndent(v, "", " ") + } + } + + return FormatFunc(func(r *Record) []byte { + props := make(map[string]interface{}) + + props[r.KeyNames.Time] = r.Time + props[r.KeyNames.Lvl] = r.Lvl.String() + props[r.KeyNames.Msg] = r.Msg + + for i := 0; i < len(r.Ctx); i += 2 { + k, ok := r.Ctx[i].(string) + if !ok { + props[errorKey] = fmt.Sprintf("%+v is not a string key", r.Ctx[i]) + } + props[k] = formatJSONValue(r.Ctx[i+1]) + } + + b, err := jsonMarshal(props) + if err != nil { + b, _ = jsonMarshal(map[string]string{ + errorKey: err.Error(), + }) + return b + } + + if lineSeparated { + b = append(b, '\n') + } + + return b + }) +} + +func formatShared(value interface{}) (result interface{}) { + defer func() { + if err := recover(); err != nil { + if v := reflect.ValueOf(value); v.Kind() == reflect.Ptr && v.IsNil() { + result = "nil" + } else { + panic(err) + } + } + }() + + switch v := value.(type) { + case time.Time: + return v.Format(timeFormat) + + case error: + return v.Error() + + case fmt.Stringer: + return v.String() + + default: + return v + } +} + +func formatJSONValue(value interface{}) interface{} { + value = formatShared(value) + switch value.(type) { + case int, int8, int16, int32, int64, float32, float64, uint, uint8, uint16, uint32, uint64, string: + return value + default: + return fmt.Sprintf("%+v", value) + } +} + +// formatValue formats a value for serialization +func formatLogfmtValue(value interface{}, term bool) string { + if value == nil { + return "nil" + } + + if t, ok := value.(time.Time); ok { + // Performance optimization: No need for escaping since the provided + // timeFormat doesn't have any escape characters, and escaping is + // expensive. + return t.Format(timeFormat) + } + if term { + if s, ok := value.(TerminalStringer); ok { + // Custom terminal stringer provided, use that + return escapeString(s.TerminalString()) + } + } + value = formatShared(value) + switch v := value.(type) { + case bool: + return strconv.FormatBool(v) + case float32: + return strconv.FormatFloat(float64(v), floatFormat, 3, 64) + case float64: + return strconv.FormatFloat(v, floatFormat, 3, 64) + case int, int8, int16, int32, int64, uint, uint8, uint16, uint32, uint64: + return fmt.Sprintf("%d", value) + case string: + return escapeString(v) + default: + return escapeString(fmt.Sprintf("%+v", value)) + } +} + +var stringBufPool = sync.Pool{ + New: func() interface{} { return new(bytes.Buffer) }, +} + +func escapeString(s string) string { + needsQuotes := false + needsEscape := false + for _, r := range s { + if r <= ' ' || r == '=' || r == '"' { + needsQuotes = true + } + if r == '\\' || r == '"' || r == '\n' || r == '\r' || r == '\t' { + needsEscape = true + } + } + if !needsEscape && !needsQuotes { + return s + } + e := stringBufPool.Get().(*bytes.Buffer) + e.WriteByte('"') + for _, r := range s { + switch r { + case '\\', '"': + e.WriteByte('\\') + e.WriteByte(byte(r)) + case '\n': + e.WriteString("\\n") + case '\r': + e.WriteString("\\r") + case '\t': + e.WriteString("\\t") + default: + e.WriteRune(r) + } + } + e.WriteByte('"') + var ret string + if needsQuotes { + ret = e.String() + } else { + ret = string(e.Bytes()[1 : e.Len()-1]) + } + e.Reset() + stringBufPool.Put(e) + return ret +} diff --git a/log/handler.go b/log/handler.go new file mode 100644 index 0000000..3c99114 --- /dev/null +++ b/log/handler.go @@ -0,0 +1,359 @@ +package log + +import ( + "fmt" + "io" + "net" + "os" + "reflect" + "sync" + + "github.com/go-stack/stack" +) + +// Handler defines where and how log records are written. +// A Logger prints its log records by writing to a Handler. +// Handlers are composable, providing you great flexibility in combining +// them to achieve the logging structure that suits your applications. +type Handler interface { + Log(r *Record) error +} + +// FuncHandler returns a Handler that logs records with the given +// function. +func FuncHandler(fn func(r *Record) error) Handler { + return funcHandler(fn) +} + +type funcHandler func(r *Record) error + +func (h funcHandler) Log(r *Record) error { + return h(r) +} + +// StreamHandler writes log records to an io.Writer +// with the given format. StreamHandler can be used +// to easily begin writing log records to other +// outputs. +// +// StreamHandler wraps itself with LazyHandler and SyncHandler +// to evaluate Lazy objects and perform safe concurrent writes. +func StreamHandler(wr io.Writer, fmtr Format) Handler { + h := FuncHandler(func(r *Record) error { + _, err := wr.Write(fmtr.Format(r)) + return err + }) + return LazyHandler(SyncHandler(h)) +} + +// SyncHandler can be wrapped around a handler to guarantee that +// only a single Log operation can proceed at a time. It's necessary +// for thread-safe concurrent writes. +func SyncHandler(h Handler) Handler { + var mu sync.Mutex + return FuncHandler(func(r *Record) error { + defer mu.Unlock() + mu.Lock() + return h.Log(r) + }) +} + +// FileHandler returns a handler which writes log records to the give file +// using the given format. If the path +// already exists, FileHandler will append to the given file. If it does not, +// FileHandler will create the file with mode 0644. +func FileHandler(path string, fmtr Format) (Handler, error) { + f, err := os.OpenFile(path, os.O_CREATE|os.O_APPEND|os.O_WRONLY, 0644) + if err != nil { + return nil, err + } + return closingHandler{f, StreamHandler(f, fmtr)}, nil +} + +// NetHandler opens a socket to the given address and writes records +// over the connection. +func NetHandler(network, addr string, fmtr Format) (Handler, error) { + conn, err := net.Dial(network, addr) + if err != nil { + return nil, err + } + + return closingHandler{conn, StreamHandler(conn, fmtr)}, nil +} + +// XXX: closingHandler is essentially unused at the moment +// it's meant for a future time when the Handler interface supports +// a possible Close() operation +type closingHandler struct { + io.WriteCloser + Handler +} + +func (h *closingHandler) Close() error { + return h.WriteCloser.Close() +} + +// CallerFileHandler returns a Handler that adds the line number and file of +// the calling function to the context with key "caller". +func CallerFileHandler(h Handler) Handler { + return FuncHandler(func(r *Record) error { + r.Ctx = append(r.Ctx, "caller", fmt.Sprint(r.Call)) + return h.Log(r) + }) +} + +// CallerFuncHandler returns a Handler that adds the calling function name to +// the context with key "fn". +func CallerFuncHandler(h Handler) Handler { + return FuncHandler(func(r *Record) error { + r.Ctx = append(r.Ctx, "fn", formatCall("%+n", r.Call)) + return h.Log(r) + }) +} + +// This function is here to please go vet on Go < 1.8. +func formatCall(format string, c stack.Call) string { + return fmt.Sprintf(format, c) +} + +// CallerStackHandler returns a Handler that adds a stack trace to the context +// with key "stack". The stack trace is formated as a space separated list of +// call sites inside matching []'s. The most recent call site is listed first. +// Each call site is formatted according to format. See the documentation of +// package github.com/go-stack/stack for the list of supported formats. +func CallerStackHandler(format string, h Handler) Handler { + return FuncHandler(func(r *Record) error { + s := stack.Trace().TrimBelow(r.Call).TrimRuntime() + if len(s) > 0 { + r.Ctx = append(r.Ctx, "stack", fmt.Sprintf(format, s)) + } + return h.Log(r) + }) +} + +// FilterHandler returns a Handler that only writes records to the +// wrapped Handler if the given function evaluates true. For example, +// to only log records where the 'err' key is not nil: +// +// logger.SetHandler(FilterHandler(func(r *Record) bool { +// for i := 0; i < len(r.Ctx); i += 2 { +// if r.Ctx[i] == "err" { +// return r.Ctx[i+1] != nil +// } +// } +// return false +// }, h)) +// +func FilterHandler(fn func(r *Record) bool, h Handler) Handler { + return FuncHandler(func(r *Record) error { + if fn(r) { + return h.Log(r) + } + return nil + }) +} + +// MatchFilterHandler returns a Handler that only writes records +// to the wrapped Handler if the given key in the logged +// context matches the value. For example, to only log records +// from your ui package: +// +// log.MatchFilterHandler("pkg", "app/ui", log.StdoutHandler) +// +func MatchFilterHandler(key string, value interface{}, h Handler) Handler { + return FilterHandler(func(r *Record) (pass bool) { + switch key { + case r.KeyNames.Lvl: + return r.Lvl == value + case r.KeyNames.Time: + return r.Time == value + case r.KeyNames.Msg: + return r.Msg == value + } + + for i := 0; i < len(r.Ctx); i += 2 { + if r.Ctx[i] == key { + return r.Ctx[i+1] == value + } + } + return false + }, h) +} + +// LvlFilterHandler returns a Handler that only writes +// records which are less than the given verbosity +// level to the wrapped Handler. For example, to only +// log Error/Crit records: +// +// log.LvlFilterHandler(log.LvlError, log.StdoutHandler) +// +func LvlFilterHandler(maxLvl Lvl, h Handler) Handler { + return FilterHandler(func(r *Record) (pass bool) { + return r.Lvl <= maxLvl + }, h) +} + +// MultiHandler dispatches any write to each of its handlers. +// This is useful for writing different types of log information +// to different locations. For example, to log to a file and +// standard error: +// +// log.MultiHandler( +// log.Must.FileHandler("/var/log/app.log", log.LogfmtFormat()), +// log.StderrHandler) +// +func MultiHandler(hs ...Handler) Handler { + return FuncHandler(func(r *Record) error { + for _, h := range hs { + // what to do about failures? + h.Log(r) + } + return nil + }) +} + +// FailoverHandler writes all log records to the first handler +// specified, but will failover and write to the second handler if +// the first handler has failed, and so on for all handlers specified. +// For example you might want to log to a network socket, but failover +// to writing to a file if the network fails, and then to +// standard out if the file write fails: +// +// log.FailoverHandler( +// log.Must.NetHandler("tcp", ":9090", log.JSONFormat()), +// log.Must.FileHandler("/var/log/app.log", log.LogfmtFormat()), +// log.StdoutHandler) +// +// All writes that do not go to the first handler will add context with keys of +// the form "failover_err_{idx}" which explain the error encountered while +// trying to write to the handlers before them in the list. +func FailoverHandler(hs ...Handler) Handler { + return FuncHandler(func(r *Record) error { + var err error + for i, h := range hs { + err = h.Log(r) + if err == nil { + return nil + } + r.Ctx = append(r.Ctx, fmt.Sprintf("failover_err_%d", i), err) + } + + return err + }) +} + +// ChannelHandler writes all records to the given channel. +// It blocks if the channel is full. Useful for async processing +// of log messages, it's used by BufferedHandler. +func ChannelHandler(recs chan<- *Record) Handler { + return FuncHandler(func(r *Record) error { + recs <- r + return nil + }) +} + +// BufferedHandler writes all records to a buffered +// channel of the given size which flushes into the wrapped +// handler whenever it is available for writing. Since these +// writes happen asynchronously, all writes to a BufferedHandler +// never return an error and any errors from the wrapped handler are ignored. +func BufferedHandler(bufSize int, h Handler) Handler { + recs := make(chan *Record, bufSize) + go func() { + for m := range recs { + _ = h.Log(m) + } + }() + return ChannelHandler(recs) +} + +// LazyHandler writes all values to the wrapped handler after evaluating +// any lazy functions in the record's context. It is already wrapped +// around StreamHandler and SyslogHandler in this library, you'll only need +// it if you write your own Handler. +func LazyHandler(h Handler) Handler { + return FuncHandler(func(r *Record) error { + // go through the values (odd indices) and reassign + // the values of any lazy fn to the result of its execution + hadErr := false + for i := 1; i < len(r.Ctx); i += 2 { + lz, ok := r.Ctx[i].(Lazy) + if ok { + v, err := evaluateLazy(lz) + if err != nil { + hadErr = true + r.Ctx[i] = err + } else { + if cs, ok := v.(stack.CallStack); ok { + v = cs.TrimBelow(r.Call).TrimRuntime() + } + r.Ctx[i] = v + } + } + } + + if hadErr { + r.Ctx = append(r.Ctx, errorKey, "bad lazy") + } + + return h.Log(r) + }) +} + +func evaluateLazy(lz Lazy) (interface{}, error) { + t := reflect.TypeOf(lz.Fn) + + if t.Kind() != reflect.Func { + return nil, fmt.Errorf("INVALID_LAZY, not func: %+v", lz.Fn) + } + + if t.NumIn() > 0 { + return nil, fmt.Errorf("INVALID_LAZY, func takes args: %+v", lz.Fn) + } + + if t.NumOut() == 0 { + return nil, fmt.Errorf("INVALID_LAZY, no func return val: %+v", lz.Fn) + } + + value := reflect.ValueOf(lz.Fn) + results := value.Call([]reflect.Value{}) + if len(results) == 1 { + return results[0].Interface(), nil + } + values := make([]interface{}, len(results)) + for i, v := range results { + values[i] = v.Interface() + } + return values, nil +} + +// DiscardHandler reports success for all writes but does nothing. +// It is useful for dynamically disabling logging at runtime via +// a Logger's SetHandler method. +func DiscardHandler() Handler { + return FuncHandler(func(r *Record) error { + return nil + }) +} + +// Must provides the following Handler creation functions +// which instead of returning an error parameter only return a Handler +// and panic on failure: FileHandler, NetHandler, SyslogHandler, SyslogNetHandler +var Must muster + +func must(h Handler, err error) Handler { + if err != nil { + panic(err) + } + return h +} + +type muster struct{} + +func (m muster) FileHandler(path string, fmtr Format) Handler { + return must(FileHandler(path, fmtr)) +} + +func (m muster) NetHandler(network, addr string, fmtr Format) Handler { + return must(NetHandler(network, addr, fmtr)) +} diff --git a/log/handler_glog.go b/log/handler_glog.go new file mode 100644 index 0000000..de33a61 --- /dev/null +++ b/log/handler_glog.go @@ -0,0 +1,223 @@ +// Copyright (c) 2017-2019 The Qitmeer developers +// +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +// The parts code inspired by +// https://github.com/ethereum/go-ethereum/log/handler_glog.go + +package log + +import ( + "errors" + "fmt" + "regexp" + "runtime" + "strconv" + "strings" + "sync" + "sync/atomic" +) + +// errVmoduleSyntax is returned when a user vmodule pattern is invalid. +var errVmoduleSyntax = errors.New("expect comma-separated list of filename=N") + +// errTraceSyntax is returned when a user backtrace pattern is invalid. +var errTraceSyntax = errors.New("expect file.go:234") + +// GlogHandler is a log handler that mimics the filtering features of Google's +// glog logger: setting global log levels; overriding with callsite pattern +// matches; and requesting backtraces at certain positions. +type GlogHandler struct { + origin Handler // The origin handler this wraps + + level uint32 // Current log level, atomically accessible + override uint32 // Flag whether overrides are used, atomically accessible + backtrace uint32 // Flag whether backtrace location is set + + patterns []pattern // Current list of patterns to override with + siteCache map[uintptr]Lvl // Cache of callsite pattern evaluations + location string // file:line location where to do a stackdump at + lock sync.RWMutex // Lock protecting the override pattern list +} + +// NewGlogHandler creates a new log handler with filtering functionality similar +// to Google's glog logger. The returned handler implements Handler. +func NewGlogHandler(h Handler) *GlogHandler { + return &GlogHandler{ + origin: h, + } +} + +// pattern contains a filter for the Vmodule option, holding a verbosity level +// and a file pattern to match. +type pattern struct { + pattern *regexp.Regexp + level Lvl +} + +// Verbosity sets the glog verbosity ceiling. The verbosity of individual packages +// and source files can be raised using Vmodule. +func (h *GlogHandler) Verbosity(level Lvl) { + atomic.StoreUint32(&h.level, uint32(level)) +} + +func (h *GlogHandler) GetVerbosity() Lvl { + return Lvl(atomic.LoadUint32(&h.level)) +} + +// Vmodule sets the glog verbosity pattern. +// +// The syntax of the argument is a comma-separated list of pattern=N, where the +// pattern is a literal file name or "glob" pattern matching and N is a V level. +// +// For instance: +// +// pattern="gopher.go=3" +// sets the V level to 3 in all Go files named "gopher.go" +// +// pattern="foo=3" +// sets V to 3 in all files of any packages whose import path ends in "foo" +// +// pattern="foo/*=3" +// sets V to 3 in all files of any packages whose import path contains "foo" +func (h *GlogHandler) Vmodule(ruleset string) error { + var filter []pattern + for _, rule := range strings.Split(ruleset, ",") { + // Empty strings such as from a trailing comma can be ignored + if len(rule) == 0 { + continue + } + // Ensure we have a pattern = level filter rule + parts := strings.Split(rule, "=") + if len(parts) != 2 { + return errVmoduleSyntax + } + parts[0] = strings.TrimSpace(parts[0]) + parts[1] = strings.TrimSpace(parts[1]) + if len(parts[0]) == 0 || len(parts[1]) == 0 { + return errVmoduleSyntax + } + // Parse the level and if correct, assemble the filter rule + level, err := strconv.Atoi(parts[1]) + if err != nil { + return errVmoduleSyntax + } + if level <= 0 { + continue // Ignore. It's harmless but no point in paying the overhead. + } + // Compile the rule pattern into a regular expression + matcher := ".*" + for _, comp := range strings.Split(parts[0], "/") { + if comp == "*" { + matcher += "(/.*)?" + } else if comp != "" { + matcher += "/" + regexp.QuoteMeta(comp) + } + } + if !strings.HasSuffix(parts[0], ".go") { + matcher += "/[^/]+\\.go" + } + matcher = matcher + "$" + + re, _ := regexp.Compile(matcher) + filter = append(filter, pattern{re, Lvl(level)}) + } + // Swap out the vmodule pattern for the new filter system + h.lock.Lock() + defer h.lock.Unlock() + + h.patterns = filter + h.siteCache = make(map[uintptr]Lvl) + atomic.StoreUint32(&h.override, uint32(len(filter))) + + return nil +} + +// BacktraceAt sets the glog backtrace location. When set to a file and line +// number holding a logging statement, a stack trace will be written to the Info +// log whenever execution hits that statement. +// +// Unlike with Vmodule, the ".go" must be present. +func (h *GlogHandler) BacktraceAt(location string) error { + // Ensure the backtrace location contains two non-empty elements + parts := strings.Split(location, ":") + if len(parts) != 2 { + return errTraceSyntax + } + parts[0] = strings.TrimSpace(parts[0]) + parts[1] = strings.TrimSpace(parts[1]) + if len(parts[0]) == 0 || len(parts[1]) == 0 { + return errTraceSyntax + } + // Ensure the .go prefix is present and the line is valid + if !strings.HasSuffix(parts[0], ".go") { + return errTraceSyntax + } + if _, err := strconv.Atoi(parts[1]); err != nil { + return errTraceSyntax + } + // All seems valid + h.lock.Lock() + defer h.lock.Unlock() + + h.location = location + atomic.StoreUint32(&h.backtrace, uint32(len(location))) + + return nil +} + +// Log implements Handler.Log, filtering a log record through the global, local +// and backtrace filters, finally emitting it if either allow it through. +func (h *GlogHandler) Log(r *Record) error { + // If backtracing is requested, check whether this is the callsite + if atomic.LoadUint32(&h.backtrace) > 0 { + // Everything below here is slow. Although we could cache the call sites the + // same way as for vmodule, backtracing is so rare it's not worth the extra + // complexity. + h.lock.RLock() + match := h.location == r.Call.String() + h.lock.RUnlock() + + if match { + // Callsite matched, raise the log level to info and gather the stacks + r.Lvl = LvlInfo + + buf := make([]byte, 1024*1024) + buf = buf[:runtime.Stack(buf, true)] + r.Msg += "\n\n" + string(buf) + } + } + // If the global log level allows, fast track logging + if atomic.LoadUint32(&h.level) >= uint32(r.Lvl) { + return h.origin.Log(r) + } + // If no local overrides are present, fast track skipping + if atomic.LoadUint32(&h.override) == 0 { + return nil + } + // Check callsite cache for previously calculated log levels + h.lock.RLock() + lvl, ok := h.siteCache[r.Call.PC()] + h.lock.RUnlock() + + // If we didn't cache the callsite yet, calculate it + if !ok { + h.lock.Lock() + for _, rule := range h.patterns { + if rule.pattern.MatchString(fmt.Sprintf("%+s", r.Call)) { + h.siteCache[r.Call.PC()], lvl, ok = rule.level, rule.level, true + break + } + } + // If no rule matched, remember to drop log the next time + if !ok { + h.siteCache[r.Call.PC()] = 0 + } + h.lock.Unlock() + } + if lvl >= r.Lvl { + return h.origin.Log(r) + } + return nil +} diff --git a/log/handler_go13.go b/log/handler_go13.go new file mode 100644 index 0000000..0843ed0 --- /dev/null +++ b/log/handler_go13.go @@ -0,0 +1,26 @@ +// +build !go1.4 + +package log + +import ( + "sync/atomic" + "unsafe" +) + +// swapHandler wraps another handler that may be swapped out +// dynamically at runtime in a thread-safe fashion. +type swapHandler struct { + handler unsafe.Pointer +} + +func (h *swapHandler) Log(r *Record) error { + return h.Get().Log(r) +} + +func (h *swapHandler) Get() Handler { + return *(*Handler)(atomic.LoadPointer(&h.handler)) +} + +func (h *swapHandler) Swap(newHandler Handler) { + atomic.StorePointer(&h.handler, unsafe.Pointer(&newHandler)) +} diff --git a/log/handler_go14.go b/log/handler_go14.go new file mode 100644 index 0000000..05dedbf --- /dev/null +++ b/log/handler_go14.go @@ -0,0 +1,23 @@ +// +build go1.4 + +package log + +import "sync/atomic" + +// swapHandler wraps another handler that may be swapped out +// dynamically at runtime in a thread-safe fashion. +type swapHandler struct { + handler atomic.Value +} + +func (h *swapHandler) Log(r *Record) error { + return (*h.handler.Load().(*Handler)).Log(r) +} + +func (h *swapHandler) Swap(newHandler Handler) { + h.handler.Store(&newHandler) +} + +func (h *swapHandler) Get() Handler { + return *h.handler.Load().(*Handler) +} diff --git a/log/log.go b/log/log.go new file mode 100644 index 0000000..4673732 --- /dev/null +++ b/log/log.go @@ -0,0 +1,104 @@ +/* + * Copyright (c) 2017-2020 The qitmeer developers + */ + +package log + +import ( + "fmt" + "github.com/Qitmeer/qng-core/log/term" + "github.com/jrick/logrotate/rotator" + "github.com/mattn/go-colorable" + "io" + "os" + "path/filepath" +) + +var ( + glogger *GlogHandler + + logWrite *logWriter +) + +// logWriter implements an io.Writer that outputs to both standard output and +// the write-end pipe of an initialized log rotator. +type logWriter struct { + // logRotator is one of the logging outputs. It should be closed on + // application shutdown. + logRotator *rotator.Rotator + + // Use for color terminal + colorableWrite io.Writer +} + +func (lw *logWriter) Init() { + // init a colorful logger if possible + usecolor := term.IsTty(os.Stdout.Fd()) && os.Getenv("TERM") != "dumb" + + if usecolor { + lw.colorableWrite = colorable.NewColorableStderr() + } +} + +func (lw *logWriter) Close() { + if lw.logRotator != nil { + lw.logRotator.Close() + } +} + +func (lw *logWriter) IsUseColor() bool { + return lw.colorableWrite != nil +} + +func (lw *logWriter) Write(p []byte) (n int, err error) { + if lw.logRotator != nil { + lw.logRotator.Write(p) + } + + if lw.colorableWrite != nil { + lw.colorableWrite.Write(p) + } else { + os.Stderr.Write(p) + } + return len(p), nil +} + +func init() { + // output set to Stderr + // it's easier to handle when run as a daemon through systemd or supervisord, + // and Go runtime exceptions are printed to stderr as well. + logWrite = &logWriter{} + logWrite.Init() + glogger = NewGlogHandler(StreamHandler(io.Writer(logWrite), TerminalFormat(logWrite.IsUseColor()))) + + Root().SetHandler(glogger) + + glogger.Verbosity(LvlInfo) +} + +// initLogRotator initializes the logging rotater to write logs to logFile and +// create roll files in the same directory. It must be called before the +// package-global log rotater variables are used. +func InitLogRotator(logFile string) { + logDir, _ := filepath.Split(logFile) + err := os.MkdirAll(logDir, 0700) + if err != nil { + fmt.Fprintf(os.Stderr, "failed to create log directory: %v\n", err) + os.Exit(1) + } + r, err := rotator.New(logFile, 10*1024, false, 3) + if err != nil { + fmt.Fprintf(os.Stderr, "failed to create file rotator: %v\n", err) + os.Exit(1) + } + + logWrite.logRotator = r +} + +func LogWrite() *logWriter { + return logWrite +} + +func Glogger() *GlogHandler { + return glogger +} diff --git a/log/logger.go b/log/logger.go new file mode 100644 index 0000000..053233c --- /dev/null +++ b/log/logger.go @@ -0,0 +1,243 @@ +package log + +import ( + "fmt" + "github.com/Qitmeer/qng-core/common/roughtime" + "os" + "time" + + "github.com/go-stack/stack" +) + +const timeKey = "t" +const lvlKey = "lvl" +const msgKey = "msg" +const errorKey = "LOG15_ERROR" +const skipLevel = 2 + +type Lvl int + +const ( + LvlCrit Lvl = iota + LvlError + LvlWarn + LvlInfo + LvlDebug + LvlTrace +) + +// AlignedString returns a 5-character string containing the name of a Lvl. +func (l Lvl) AlignedString() string { + switch l { + case LvlTrace: + return "TRACE" + case LvlDebug: + return "DEBUG" + case LvlInfo: + return "INFO " + case LvlWarn: + return "WARN " + case LvlError: + return "ERROR" + case LvlCrit: + return "CRIT " + default: + panic("bad level") + } +} + +// Strings returns the name of a Lvl. +func (l Lvl) String() string { + switch l { + case LvlTrace: + return "trce" + case LvlDebug: + return "dbug" + case LvlInfo: + return "info" + case LvlWarn: + return "warn" + case LvlError: + return "eror" + case LvlCrit: + return "crit" + default: + panic("bad level") + } +} + +// LvlFromString returns the appropriate Lvl from a string name. +// Useful for parsing command line args and configuration files. +func LvlFromString(lvlString string) (Lvl, error) { + switch lvlString { + case "trace", "trce": + return LvlTrace, nil + case "debug", "dbug": + return LvlDebug, nil + case "info": + return LvlInfo, nil + case "warn": + return LvlWarn, nil + case "error", "eror": + return LvlError, nil + case "crit": + return LvlCrit, nil + default: + return LvlDebug, fmt.Errorf("Unknown level: %v", lvlString) + } +} + +// A Record is what a Logger asks its handler to write +type Record struct { + Time time.Time + Lvl Lvl + Msg string + Ctx []interface{} + Call stack.Call + KeyNames RecordKeyNames +} + +// RecordKeyNames gets stored in a Record when the write function is executed. +type RecordKeyNames struct { + Time string + Msg string + Lvl string +} + +// A Logger writes key/value pairs to a Handler +type Logger interface { + // New returns a new Logger that has this logger's context plus the given context + New(ctx ...interface{}) Logger + + // GetHandler gets the handler associated with the logger. + GetHandler() Handler + + // SetHandler updates the logger to write records to the specified handler. + SetHandler(h Handler) + + // Log a message at the given level with context key/value pairs + Trace(msg string, ctx ...interface{}) + Debug(msg string, ctx ...interface{}) + Info(msg string, ctx ...interface{}) + Warn(msg string, ctx ...interface{}) + Error(msg string, ctx ...interface{}) + Crit(msg string, ctx ...interface{}) +} + +type logger struct { + ctx []interface{} + h *swapHandler +} + +func (l *logger) write(msg string, lvl Lvl, ctx []interface{}, skip int) { + l.h.Log(&Record{ + Time: roughtime.Now(), + Lvl: lvl, + Msg: msg, + Ctx: newContext(l.ctx, ctx), + Call: stack.Caller(skip), + KeyNames: RecordKeyNames{ + Time: timeKey, + Msg: msgKey, + Lvl: lvlKey, + }, + }) +} + +func (l *logger) New(ctx ...interface{}) Logger { + child := &logger{newContext(l.ctx, ctx), new(swapHandler)} + child.SetHandler(l.h) + return child +} + +func newContext(prefix []interface{}, suffix []interface{}) []interface{} { + normalizedSuffix := normalize(suffix) + newCtx := make([]interface{}, len(prefix)+len(normalizedSuffix)) + n := copy(newCtx, prefix) + copy(newCtx[n:], normalizedSuffix) + return newCtx +} + +func (l *logger) Trace(msg string, ctx ...interface{}) { + l.write(msg, LvlTrace, ctx, skipLevel) +} + +func (l *logger) Debug(msg string, ctx ...interface{}) { + l.write(msg, LvlDebug, ctx, skipLevel) +} + +func (l *logger) Info(msg string, ctx ...interface{}) { + l.write(msg, LvlInfo, ctx, skipLevel) +} + +func (l *logger) Warn(msg string, ctx ...interface{}) { + l.write(msg, LvlWarn, ctx, skipLevel) +} + +func (l *logger) Error(msg string, ctx ...interface{}) { + l.write(msg, LvlError, ctx, skipLevel) +} + +func (l *logger) Crit(msg string, ctx ...interface{}) { + l.write(msg, LvlCrit, ctx, skipLevel) + os.Exit(1) +} + +func (l *logger) GetHandler() Handler { + return l.h.Get() +} + +func (l *logger) SetHandler(h Handler) { + l.h.Swap(h) +} + +func normalize(ctx []interface{}) []interface{} { + // if the caller passed a Ctx object, then expand it + if len(ctx) == 1 { + if ctxMap, ok := ctx[0].(Ctx); ok { + ctx = ctxMap.toArray() + } + } + + // ctx needs to be even because it's a series of key/value pairs + // no one wants to check for errors on logging functions, + // so instead of erroring on bad input, we'll just make sure + // that things are the right length and users can fix bugs + // when they see the output looks wrong + if len(ctx)%2 != 0 { + ctx = append(ctx, nil, errorKey, "Normalized odd number of arguments by adding nil") + } + + return ctx +} + +// Lazy allows you to defer calculation of a logged value that is expensive +// to compute until it is certain that it must be evaluated with the given filters. +// +// Lazy may also be used in conjunction with a Logger's New() function +// to generate a child logger which always reports the current value of changing +// state. +// +// You may wrap any function which takes no arguments to Lazy. It may return any +// number of values of any type. +type Lazy struct { + Fn interface{} +} + +// Ctx is a map of key/value pairs to pass as context to a log function +// Use this only if you really need greater safety around the arguments you pass +// to the logging functions. +type Ctx map[string]interface{} + +func (c Ctx) toArray() []interface{} { + arr := make([]interface{}, len(c)*2) + + i := 0 + for k, v := range c { + arr[i] = k + arr[i+1] = v + i += 2 + } + + return arr +} diff --git a/log/root.go b/log/root.go new file mode 100644 index 0000000..27ebb97 --- /dev/null +++ b/log/root.go @@ -0,0 +1,66 @@ +package log + +import ( + "os" +) + +var ( + root = &logger{[]interface{}{}, new(swapHandler)} + StdoutHandler = StreamHandler(os.Stdout, LogfmtFormat()) + StderrHandler = StreamHandler(os.Stderr, LogfmtFormat()) +) + +// New returns a new logger with the given context. +// New is a convenient alias for Root().New +func New(ctx ...interface{}) Logger { + return root.New(ctx...) +} + +// Root returns the root logger +func Root() Logger { + return root +} + +// The following functions bypass the exported logger methods (logger.Debug, +// etc.) to keep the call depth the same for all paths to logger.write so +// runtime.Caller(2) always refers to the call site in client code. + +// Trace is a convenient alias for Root().Trace +func Trace(msg string, ctx ...interface{}) { + root.write(msg, LvlTrace, ctx, skipLevel) +} + +// Debug is a convenient alias for Root().Debug +func Debug(msg string, ctx ...interface{}) { + root.write(msg, LvlDebug, ctx, skipLevel) +} + +// Info is a convenient alias for Root().Info +func Info(msg string, ctx ...interface{}) { + root.write(msg, LvlInfo, ctx, skipLevel) +} + +// Warn is a convenient alias for Root().Warn +func Warn(msg string, ctx ...interface{}) { + root.write(msg, LvlWarn, ctx, skipLevel) +} + +// Error is a convenient alias for Root().Error +func Error(msg string, ctx ...interface{}) { + root.write(msg, LvlError, ctx, skipLevel) +} + +// Crit is a convenient alias for Root().Crit +func Crit(msg string, ctx ...interface{}) { + root.write(msg, LvlCrit, ctx, skipLevel) + os.Exit(1) +} + +// Output is a convenient alias for write, allowing for the modification of +// the calldepth (number of stack frames to skip). +// calldepth influences the reported line number of the log message. +// A calldepth of zero reports the immediate caller of Output. +// Non-zero calldepth skips as many stack frames. +func Output(msg string, lvl Lvl, calldepth int, ctx ...interface{}) { + root.write(msg, lvl, ctx, calldepth+skipLevel) +} diff --git a/log/syslog.go b/log/syslog.go new file mode 100644 index 0000000..71a17b3 --- /dev/null +++ b/log/syslog.go @@ -0,0 +1,57 @@ +// +build !windows,!plan9 + +package log + +import ( + "log/syslog" + "strings" +) + +// SyslogHandler opens a connection to the system syslog daemon by calling +// syslog.New and writes all records to it. +func SyslogHandler(priority syslog.Priority, tag string, fmtr Format) (Handler, error) { + wr, err := syslog.New(priority, tag) + return sharedSyslog(fmtr, wr, err) +} + +// SyslogNetHandler opens a connection to a log daemon over the network and writes +// all log records to it. +func SyslogNetHandler(net, addr string, priority syslog.Priority, tag string, fmtr Format) (Handler, error) { + wr, err := syslog.Dial(net, addr, priority, tag) + return sharedSyslog(fmtr, wr, err) +} + +func sharedSyslog(fmtr Format, sysWr *syslog.Writer, err error) (Handler, error) { + if err != nil { + return nil, err + } + h := FuncHandler(func(r *Record) error { + var syslogFn = sysWr.Info + switch r.Lvl { + case LvlCrit: + syslogFn = sysWr.Crit + case LvlError: + syslogFn = sysWr.Err + case LvlWarn: + syslogFn = sysWr.Warning + case LvlInfo: + syslogFn = sysWr.Info + case LvlDebug: + syslogFn = sysWr.Debug + case LvlTrace: + syslogFn = func(m string) error { return nil } // There's no syslog level for trace + } + + s := strings.TrimSpace(string(fmtr.Format(r))) + return syslogFn(s) + }) + return LazyHandler(&closingHandler{sysWr, h}), nil +} + +func (m muster) SyslogHandler(priority syslog.Priority, tag string, fmtr Format) Handler { + return must(SyslogHandler(priority, tag, fmtr)) +} + +func (m muster) SyslogNetHandler(net, addr string, priority syslog.Priority, tag string, fmtr Format) Handler { + return must(SyslogNetHandler(net, addr, priority, tag, fmtr)) +} diff --git a/log/term/LICENSE b/log/term/LICENSE new file mode 100644 index 0000000..f090cb4 --- /dev/null +++ b/log/term/LICENSE @@ -0,0 +1,21 @@ +The MIT License (MIT) + +Copyright (c) 2014 Simon Eskildsen + +Permission is hereby granted, free of charge, to any person obtaining a copy +of this software and associated documentation files (the "Software"), to deal +in the Software without restriction, including without limitation the rights +to use, copy, modify, merge, publish, distribute, sublicense, and/or sell +copies of the Software, and to permit persons to whom the Software is +furnished to do so, subject to the following conditions: + +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. + +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. diff --git a/log/term/terminal_appengine.go b/log/term/terminal_appengine.go new file mode 100644 index 0000000..c1b5d2a --- /dev/null +++ b/log/term/terminal_appengine.go @@ -0,0 +1,13 @@ +// Based on ssh/terminal: +// Copyright 2013 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build appengine + +package term + +// IsTty always returns false on AppEngine. +func IsTty(fd uintptr) bool { + return false +} diff --git a/log/term/terminal_darwin.go b/log/term/terminal_darwin.go new file mode 100644 index 0000000..d8f351b --- /dev/null +++ b/log/term/terminal_darwin.go @@ -0,0 +1,13 @@ +// Based on ssh/terminal: +// Copyright 2013 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. +// +build !appengine + +package term + +import "syscall" + +const ioctlReadTermios = syscall.TIOCGETA + +type Termios syscall.Termios diff --git a/log/term/terminal_freebsd.go b/log/term/terminal_freebsd.go new file mode 100644 index 0000000..cfaceab --- /dev/null +++ b/log/term/terminal_freebsd.go @@ -0,0 +1,18 @@ +package term + +import ( + "syscall" +) + +const ioctlReadTermios = syscall.TIOCGETA + +// Go 1.2 doesn't include Termios for FreeBSD. This should be added in 1.3 and this could be merged with terminal_darwin. +type Termios struct { + Iflag uint32 + Oflag uint32 + Cflag uint32 + Lflag uint32 + Cc [20]uint8 + Ispeed uint32 + Ospeed uint32 +} diff --git a/log/term/terminal_linux.go b/log/term/terminal_linux.go new file mode 100644 index 0000000..5290468 --- /dev/null +++ b/log/term/terminal_linux.go @@ -0,0 +1,14 @@ +// Based on ssh/terminal: +// Copyright 2013 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build !appengine + +package term + +import "syscall" + +const ioctlReadTermios = syscall.TCGETS + +type Termios syscall.Termios diff --git a/log/term/terminal_netbsd.go b/log/term/terminal_netbsd.go new file mode 100644 index 0000000..f9bb9e1 --- /dev/null +++ b/log/term/terminal_netbsd.go @@ -0,0 +1,7 @@ +package term + +import "syscall" + +const ioctlReadTermios = syscall.TIOCGETA + +type Termios syscall.Termios diff --git a/log/term/terminal_notwindows.go b/log/term/terminal_notwindows.go new file mode 100644 index 0000000..c9af534 --- /dev/null +++ b/log/term/terminal_notwindows.go @@ -0,0 +1,20 @@ +// Based on ssh/terminal: +// Copyright 2011 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build linux,!appengine darwin freebsd openbsd netbsd + +package term + +import ( + "syscall" + "unsafe" +) + +// IsTty returns true if the given file descriptor is a terminal. +func IsTty(fd uintptr) bool { + var termios Termios + _, _, err := syscall.Syscall6(syscall.SYS_IOCTL, fd, ioctlReadTermios, uintptr(unsafe.Pointer(&termios)), 0, 0, 0) + return err == 0 +} diff --git a/log/term/terminal_openbsd.go b/log/term/terminal_openbsd.go new file mode 100644 index 0000000..f9bb9e1 --- /dev/null +++ b/log/term/terminal_openbsd.go @@ -0,0 +1,7 @@ +package term + +import "syscall" + +const ioctlReadTermios = syscall.TIOCGETA + +type Termios syscall.Termios diff --git a/log/term/terminal_solaris.go b/log/term/terminal_solaris.go new file mode 100644 index 0000000..033c163 --- /dev/null +++ b/log/term/terminal_solaris.go @@ -0,0 +1,9 @@ +package term + +import "golang.org/x/sys/unix" + +// IsTty returns true if the given file descriptor is a terminal. +func IsTty(fd uintptr) bool { + _, err := unix.IoctlGetTermios(int(fd), unix.TCGETA) + return err == nil +} diff --git a/log/term/terminal_windows.go b/log/term/terminal_windows.go new file mode 100644 index 0000000..df3c30c --- /dev/null +++ b/log/term/terminal_windows.go @@ -0,0 +1,26 @@ +// Based on ssh/terminal: +// Copyright 2011 The Go Authors. All rights reserved. +// Use of this source code is governed by a BSD-style +// license that can be found in the LICENSE file. + +// +build windows + +package term + +import ( + "syscall" + "unsafe" +) + +var kernel32 = syscall.NewLazyDLL("kernel32.dll") + +var ( + procGetConsoleMode = kernel32.NewProc("GetConsoleMode") +) + +// IsTty returns true if the given file descriptor is a terminal. +func IsTty(fd uintptr) bool { + var st uint32 + r, _, e := syscall.Syscall(procGetConsoleMode.Addr(), 2, fd, uintptr(unsafe.Pointer(&st)), 0) + return r != 0 && e == 0 +} diff --git a/params/activeparams.go b/params/activeparams.go new file mode 100644 index 0000000..99af106 --- /dev/null +++ b/params/activeparams.go @@ -0,0 +1,42 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2013-2016 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +// activeNetParams is a pointer to the parameters specific to the +// currently active network. +var ActiveNetParams = &MainNetParam + +// netParams is used to group parameters for various networks such as the main +// network and test networks. +type netParams struct { + *Params + RpcPort string +} + +// mainNetParams contains parameters specific to the main network +var MainNetParam = netParams{ + Params: &MainNetParams, + RpcPort: "8131", +} + +// testNetParams contains parameters specific to the test network +var TestNetParam = netParams{ + Params: &TestNetParams, + RpcPort: "18131", +} + +// privNetParams contains parameters specific to the private test network +var PrivNetParam = netParams{ + Params: &PrivNetParams, + RpcPort: "38131", +} + +// MixNetParam contains parameters specific to the mix pow test network +var MixNetParam = netParams{ + Params: &MixNetParams, + RpcPort: "28131", +} diff --git a/params/genesis.go b/params/genesis.go new file mode 100644 index 0000000..5cbf46d --- /dev/null +++ b/params/genesis.go @@ -0,0 +1,453 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2016 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +import ( + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/merkle" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/Qitmeer/qng-core/ledger" + "time" +) + +// MainNet ------------------------------------------------------------------------ +var genesisTime = time.Unix(1632913200, 0) // 2021-09-29 19:00:00 GMT+08:00 + +// genesisCoinbaseTx is the coinbase transaction for the genesis blocks for +// the main network. +func buildGenesisCoinbaseTx(net protocol.Network) types.Transaction { + tx := types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + // Fully null. + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + SignScript: []byte{ + 0x0f, 0x51, 0x69, 0x74, 0x6d, 0x65, 0x65, 0x72, 0x20, 0x6d, 0x61, 0x69, + 0x6e, 0x6e, 0x65, 0x74, 0x41, 0x45, 0x61, 0x74, 0x20, 0x6e, 0x6f, 0x74, + 0x20, 0x75, 0x70, 0x20, 0x79, 0x6f, 0x75, 0x72, 0x20, 0x70, 0x72, 0x6f, + 0x70, 0x65, 0x72, 0x74, 0x79, 0x20, 0x61, 0x6d, 0x6f, 0x6e, 0x67, 0x20, + 0x79, 0x6f, 0x75, 0x72, 0x73, 0x65, 0x6c, 0x76, 0x65, 0x73, 0x20, 0x69, + 0x6e, 0x20, 0x76, 0x61, 0x6e, 0x69, 0x74, 0x79, 0x20, 0x28, 0x51, 0x75, + 0x72, 0x61, 0x6e, 0x20, 0x32, 0x3a, 0x31, 0x38, 0x38, 0x29, + }, + Sequence: 0xffffffff, + }, + }, + + TxOut: []*types.TxOutput{ + { + Amount: types.Amount{Value: 0x00000000, Id: types.MEERID}, + PkScript: hexMustDecode("76a9143846e53e5e952b5cd6023e3ad3cfc75cb93fce0388ac"), + }, + }, + LockTime: 0, + Expire: 0, + Timestamp: genesisTime, + } + return tx +} + +// buildGenesisMappingTx is the mapping transaction for the genesis blocks for +// the main network. +func buildGenesisMappingTx(net protocol.Network) types.Transaction { + tx := types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + // Fully null. + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xfffffffe, + }, + SignScript: []byte{ + 0x0f, 0x51, 0x69, 0x74, 0x6d, 0x65, 0x65, 0x72, 0x20, 0x6d, 0x61, 0x69, + 0x6e, 0x6e, 0x65, 0x74, 0x41, 0x45, 0x61, 0x74, 0x20, 0x6e, 0x6f, 0x74, + 0x20, 0x75, 0x70, 0x20, 0x79, 0x6f, 0x75, 0x72, 0x20, 0x70, 0x72, 0x6f, + 0x70, 0x65, 0x72, 0x74, 0x79, 0x20, 0x61, 0x6d, 0x6f, 0x6e, 0x67, 0x20, + 0x79, 0x6f, 0x75, 0x72, 0x73, 0x65, 0x6c, 0x76, 0x65, 0x73, 0x20, 0x69, + 0x6e, 0x20, 0x76, 0x61, 0x6e, 0x69, 0x74, 0x79, 0x20, 0x28, 0x51, 0x75, + 0x72, 0x61, 0x6e, 0x20, 0x32, 0x3a, 0x31, 0x38, 0x38, 0x29, + }, + Sequence: 0xffffffff, + }, + }, + LockTime: 0, + Expire: 0, + Timestamp: genesisTime, + } + ledger.Ledger(&tx, net) + return tx +} + +var genesisCoinbaseTx = buildGenesisCoinbaseTx(protocol.MainNet) +var genesisMappingTx = buildGenesisMappingTx(protocol.MainNet) +var genesisTxs = []*types.Transaction{ + &genesisCoinbaseTx, + &genesisMappingTx, +} + +// mainnetgenesisMerkleRoot is the hash of the first transaction in the genesis block +// for the main network. +var genesisMerkleRoot = merkle.CalcMerkleRoot(genesisTxs) + +// genesisBlock defines the genesis block of the block chain which serves as the +// public transaction ledger for the main network. +// +// The genesis block for mainnet, testnet, and privnet are not evaluated +// for proof of work. The only values that are ever used elsewhere in the +// blockchain from it are: +// (1) The genesis block hash is used as the PrevBlock in params.go. +// (2) The difficulty starts off at the value given by bits. +// (3) The stake difficulty starts off at the value given by SBits. +// (4) The timestamp, which guides when blocks can be built on top of it +// and what the initial difficulty calculations come out to be. +// +// The genesis block is valid by definition and none of the fields within +// it are validated for correctness. +var genesisBlock = types.Block{ + Header: types.BlockHeader{ + ParentRoot: hash.Hash{}, + TxRoot: *genesisMerkleRoot, + //UtxoCommitment: types.Hash{}, + //CompactFilter: types.Hash{}, + StateRoot: hash.Hash{}, + Timestamp: genesisTime, + Difficulty: 0x1b0fffff, // Difficulty 17 T + Pow: pow.GetInstance(pow.MEERXKECCAKV1, 0, []byte{}), + }, + Transactions: genesisTxs, +} + +// genesisHash is the hash of the first block in the block chain for the main +// network (genesis block). +var genesisHash = genesisBlock.BlockHash() + +// TestNet ------------------------------------------------------------------------ + +// testNetGenesisCoinbaseTx is the coinbase transaction for the genesis blocks for +// the test network. +func buildTestNetGenesisCoinbaseTx(net protocol.Network) types.Transaction { + tx := types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + // Fully null. + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + SignScript: []byte{ + 0x54, 0x68, 0x65, 0x20, 0x48, 0x4c, 0x43, 0x20, 0x54, 0x6f, 0x6b, 0x65, + 0x6e, 0x20, 0x44, 0x65, 0x73, 0x74, 0x72, 0x6f, 0x79, 0x65, 0x64, 0x20, + 0x32, 0x30, 0x30, 0x32, 0x38, 0x37, 0x39, 0x31, 0x31, 0x20, 0x37, 0x64, + 0x33, 0x38, 0x34, 0x36, 0x61, 0x62, 0x31, 0x36, 0x64, 0x66, 0x61, 0x35, + 0x31, 0x31, 0x30, 0x37, 0x39, 0x36, 0x66, 0x36, 0x62, 0x35, 0x66, 0x33, + 0x31, 0x33, 0x36, 0x65, 0x64, 0x66, 0x64, 0x63, 0x36, 0x64, 0x39, 0x66, + 0x64, 0x64, 0x37, 0x62, 0x33, 0x33, 0x36, 0x62, 0x30, 0x36, 0x37, 0x66, + 0x66, 0x38, 0x34, 0x33, 0x35, 0x33, 0x35, 0x36, 0x63, 0x30, 0x38, 0x64, + 0x36, 0x61, 0x0a, + 0x54, 0x68, 0x65, 0x20, 0x51, 0x69, 0x74, 0x6d, 0x65, 0x65, 0x72, 0x20, + 0x50, 0x75, 0x62, 0x6c, 0x69, 0x63, 0x20, 0x54, 0x65, 0x73, 0x74, 0x6e, + 0x65, 0x74, 0x20, 0x28, 0x54, 0x68, 0x65, 0x20, 0x4d, 0x65, 0x64, 0x69, + 0x6e, 0x61, 0x20, 0x4e, 0x65, 0x74, 0x77, 0x6f, 0x72, 0x6b, 0x20, 0x31, + 0x2e, 0x30, 0x29, 0x20, 0x32, 0x30, 0x31, 0x39, 0x2f, 0x31, 0x32, 0x2f, + 0x33, 0x30, 0x20, 0x32, 0x30, 0x32, 0x30, 0x2f, 0x30, 0x36, 0x2f, 0x32, + 0x30, 0x20, 0x35, 0x34, 0x32, 0x33, 0x37, 0x30, 0x20, 0x36, 0x35, 0x32, + 0x34, 0x32, 0x39, 0x33, 0x30, 0x30, 0x34, 0x33, 0x36, 0x36, 0x36, 0x33, + 0x34, 0x0a, + 0x54, 0x68, 0x65, 0x20, 0x4d, 0x65, 0x64, 0x69, 0x6e, 0x61, 0x20, 0x4e, + 0x65, 0x74, 0x77, 0x6f, 0x72, 0x6b, 0x20, 0x32, 0x2e, 0x30, 0x20, 0x32, + 0x30, 0x32, 0x30, 0x2f, 0x30, 0x36, 0x2f, 0x32, 0x34, 0x0a, + 0x54, 0x68, 0x6f, 0x73, 0x65, 0x20, 0x77, 0x68, 0x6f, 0x2c, 0x20, 0x77, + 0x68, 0x65, 0x6e, 0x20, 0x74, 0x68, 0x65, 0x79, 0x20, 0x73, 0x70, 0x65, + 0x6e, 0x64, 0x2c, 0x20, 0x61, 0x72, 0x65, 0x20, 0x6e, 0x6f, 0x74, 0x20, + 0x65, 0x78, 0x74, 0x72, 0x61, 0x76, 0x61, 0x67, 0x61, 0x6e, 0x74, 0x20, + 0x61, 0x6e, 0x64, 0x20, 0x6e, 0x6f, 0x74, 0x20, 0x6e, 0x69, 0x67, 0x67, + 0x61, 0x72, 0x64, 0x6c, 0x79, 0x2c, 0x20, 0x62, 0x75, 0x74, 0x20, 0x68, + 0x6f, 0x6c, 0x64, 0x20, 0x61, 0x20, 0x6a, 0x75, 0x73, 0x74, 0x20, 0x28, + 0x62, 0x61, 0x6c, 0x61, 0x6e, 0x63, 0x65, 0x29, 0x20, 0x62, 0x65, 0x74, + 0x77, 0x65, 0x65, 0x6e, 0x20, 0x74, 0x68, 0x6f, 0x73, 0x65, 0x20, 0x28, + 0x65, 0x78, 0x74, 0x72, 0x65, 0x6d, 0x65, 0x73, 0x29, 0x2e, 0x20, 0x28, + 0x51, 0x75, 0x72, 0x61, 0x6e, 0x20, 0x32, 0x35, 0x3a, 0x36, 0x37, 0x29, + 0x0a, + }, + Sequence: 0xffffffff, + }, + }, + LockTime: 0, + Expire: 0, + Timestamp: time.Unix(1627203600, 0), // 2021/07/25 17:00:00 AM GMT+08:00 + } + ledger.Ledger(&tx, net) + return tx +} + +// +var testNetGenesisCoinbaseTx = buildTestNetGenesisCoinbaseTx(protocol.TestNet) + +// testNetGenesisMerkleRoot is the hash of the first transaction in the genesis block +// for the test network. +var testNetGenesisMerkleRoot = testNetGenesisCoinbaseTx.TxHashFull() + +// testNetGenesisBlock defines the genesis block of the block chain which +// serves as the public transaction ledger for the test network (version 3). +var testNetGenesisBlock = types.Block{ + Header: types.BlockHeader{ + ParentRoot: hash.Hash{}, + TxRoot: testNetGenesisMerkleRoot, + Timestamp: testNetGenesisCoinbaseTx.Timestamp, // same with the tx timestamp (added since 0.9) + Difficulty: 0x1f0198f2, // 67108864 + Pow: pow.GetInstance(pow.MEERXKECCAKV1, 0, []byte{}), + }, + Transactions: []*types.Transaction{&testNetGenesisCoinbaseTx}, +} + +// testNetGenesisHash is the hash of the first block in the block chain for the +// test network. +var testNetGenesisHash = testNetGenesisBlock.BlockHash() + +// PrivNet ------------------------------------------------------------------------- + +var privNetGenesisCoinbaseTx = types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + Sequence: 0xffffffff, + SignScript: []byte{ + 0x04, 0xff, 0xff, 0x00, 0x1d, 0x01, 0x04, 0x45, /* |.......E| */ + 0x54, 0x68, 0x65, 0x20, 0x54, 0x69, 0x6d, 0x65, /* |The Time| */ + 0x73, 0x20, 0x30, 0x33, 0x2f, 0x4a, 0x61, 0x6e, /* |s 03/Jan| */ + 0x2f, 0x32, 0x30, 0x30, 0x39, 0x20, 0x43, 0x68, /* |/2009 Ch| */ + 0x61, 0x6e, 0x63, 0x65, 0x6c, 0x6c, 0x6f, 0x72, /* |ancellor| */ + 0x20, 0x6f, 0x6e, 0x20, 0x62, 0x72, 0x69, 0x6e, /* | on brin| */ + 0x6b, 0x20, 0x6f, 0x66, 0x20, 0x73, 0x65, 0x63, /* |k of sec|*/ + 0x6f, 0x6e, 0x64, 0x20, 0x62, 0x61, 0x69, 0x6c, /* |ond bail| */ + 0x6f, 0x75, 0x74, 0x20, 0x66, 0x6f, 0x72, 0x20, /* |out for |*/ + 0x62, 0x61, 0x6e, 0x6b, 0x73, /* |banks| */ + }, + }, + }, + TxOut: []*types.TxOutput{ + { + Amount: types.Amount{Value: 0x00000000, Id: types.MEERID}, + PkScript: []byte{ + 0x41, 0x04, 0x67, 0x8a, 0xfd, 0xb0, 0xfe, 0x55, /* |A.g....U| */ + 0x48, 0x27, 0x19, 0x67, 0xf1, 0xa6, 0x71, 0x30, /* |H'.g..q0| */ + 0xb7, 0x10, 0x5c, 0xd6, 0xa8, 0x28, 0xe0, 0x39, /* |..\..(.9| */ + 0x09, 0xa6, 0x79, 0x62, 0xe0, 0xea, 0x1f, 0x61, /* |..yb...a| */ + 0xde, 0xb6, 0x49, 0xf6, 0xbc, 0x3f, 0x4c, 0xef, /* |..I..?L.| */ + 0x38, 0xc4, 0xf3, 0x55, 0x04, 0xe5, 0x1e, 0xc1, /* |8..U....| */ + 0x12, 0xde, 0x5c, 0x38, 0x4d, 0xf7, 0xba, 0x0b, /* |..\8M...| */ + 0x8d, 0x57, 0x8a, 0x4c, 0x70, 0x2b, 0x6b, 0xf1, /* |.W.Lp+k.| */ + 0x1d, 0x5f, 0xac, /* |._.| */ + }, + }, + }, + LockTime: 0, + Expire: 0, +} + +var privNetGenesisTx1 = buildPrvNetGenesisTxOne() + +func buildPrvNetGenesisTxOne() types.Transaction { + tx := types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + Sequence: 0xffffffff, + SignScript: []byte{ + 0x04, 0xff, 0xff, 0x00, 0x1d, 0x01, 0x04, 0x45, /* |.......E| */ + 0x54, 0x68, 0x65, 0x20, 0x54, 0x69, 0x6d, 0x65, /* |The Time| */ + 0x73, 0x20, 0x30, 0x33, 0x2f, 0x4a, 0x61, 0x6e, /* |s 03/Jan| */ + 0x2f, 0x32, 0x30, 0x30, 0x39, 0x20, 0x43, 0x68, /* |/2009 Ch| */ + 0x61, 0x6e, 0x63, 0x65, 0x6c, 0x6c, 0x6f, 0x72, /* |ancellor| */ + 0x20, 0x6f, 0x6e, 0x20, 0x62, 0x72, 0x69, 0x6e, /* | on brin| */ + 0x6b, 0x20, 0x6f, 0x66, 0x20, 0x73, 0x65, 0x63, /* |k of sec|*/ + 0x6f, 0x6e, 0x64, 0x20, 0x62, 0x61, 0x69, 0x6c, /* |ond bail| */ + 0x6f, 0x75, 0x74, 0x20, 0x66, 0x6f, 0x72, 0x20, /* |out for |*/ + 0x62, 0x61, 0x6e, 0x6b, 0x73, /* |banks| */ + }, + }, + { + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + Sequence: 0xffffffff, + SignScript: []byte{}, + }, + }, + LockTime: 0, + Expire: 0, + } + ledger.Ledger(&tx, protocol.PrivNet) + return tx +} + +var privNetGenesisTxs = []*types.Transaction{ + &privNetGenesisCoinbaseTx, + &privNetGenesisTx1, +} + +// privNetGenesisMerkleRoot is the hash of the first transaction in the genesis +// block for the simulation test network. It is the same as the merkle root for +// the main network. +var privNetGenesisMerkleRoot = merkle.CalcMerkleRoot(privNetGenesisTxs) + +var zeroHash = hash.ZeroHash + +// privNetGenesisBlock defines the genesis block of the block chain which serves +// as the public transaction ledger for the simulation test network. +var privNetGenesisBlock = types.Block{ + Header: types.BlockHeader{ + ParentRoot: zeroHash, + TxRoot: *privNetGenesisMerkleRoot, + StateRoot: hash.Hash([32]byte{ // Make go vet happy. + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, + }), + Timestamp: time.Unix(1530833717, 0), // 2018-07-05 23:35:17 GMT + Difficulty: 0x207fffff, // 545259519 + Pow: pow.GetInstance(pow.BLAKE2BD, 0, []byte{}), + }, + Transactions: privNetGenesisTxs, +} + +// privNetGenesisHash is the hash of the first block in the block chain for the +// private test network. +var privNetGenesisHash = privNetGenesisBlock.BlockHash() + +// TestMixNet ------------------------------------------------------------------------ + +// +var testPowNetGenesisCoinbaseTx = types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + Sequence: 0xffffffff, + SignScript: []byte{ + 0x04, 0xff, 0xff, 0x00, 0x1d, 0x01, 0x04, 0x45, /* |.......E| */ + 0x54, 0x68, 0x65, 0x20, 0x54, 0x69, 0x6d, 0x65, /* |The Time| */ + 0x73, 0x20, 0x30, 0x33, 0x2f, 0x4a, 0x61, 0x6e, /* |s 03/Jan| */ + 0x2f, 0x32, 0x30, 0x30, 0x39, 0x20, 0x43, 0x68, /* |/2009 Ch| */ + 0x61, 0x6e, 0x63, 0x65, 0x6c, 0x6c, 0x6f, 0x72, /* |ancellor| */ + 0x20, 0x6f, 0x6e, 0x20, 0x62, 0x72, 0x69, 0x6e, /* | on brin| */ + 0x6b, 0x20, 0x6f, 0x66, 0x20, 0x73, 0x65, 0x63, /* |k of sec|*/ + 0x6f, 0x6e, 0x64, 0x20, 0x62, 0x61, 0x69, 0x6c, /* |ond bail| */ + 0x6f, 0x75, 0x74, 0x20, 0x66, 0x6f, 0x72, 0x20, /* |out for |*/ + 0x62, 0x61, 0x6e, 0x6b, 0x73, /* |banks| */ + }, + }, + }, + TxOut: []*types.TxOutput{ + { + Amount: types.Amount{Value: 0x00000000, Id: types.MEERID}, + PkScript: []byte{ + 0x41, 0x04, 0x67, 0x8a, 0xfd, 0xb0, 0xfe, 0x55, /* |A.g....U| */ + 0x48, 0x27, 0x19, 0x67, 0xf1, 0xa6, 0x71, 0x30, /* |H'.g..q0| */ + 0xb7, 0x10, 0x5c, 0xd6, 0xa8, 0x28, 0xe0, 0x39, /* |..\..(.9| */ + 0x09, 0xa6, 0x79, 0x62, 0xe0, 0xea, 0x1f, 0x61, /* |..yb...a| */ + 0xde, 0xb6, 0x49, 0xf6, 0xbc, 0x3f, 0x4c, 0xef, /* |..I..?L.| */ + 0x38, 0xc4, 0xf3, 0x55, 0x04, 0xe5, 0x1e, 0xc1, /* |8..U....| */ + 0x12, 0xde, 0x5c, 0x38, 0x4d, 0xf7, 0xba, 0x0b, /* |..\8M...| */ + 0x8d, 0x57, 0x8a, 0x4c, 0x70, 0x2b, 0x6b, 0xf1, /* |.W.Lp+k.| */ + 0x1d, 0x5f, 0xac, /* |._.| */ + }, + }, + }, + LockTime: 0, + Expire: 0, +} + +var mixNetGenesisTx1 = buildMixNetGenesisTxOne() + +func buildMixNetGenesisTxOne() types.Transaction { + tx := types.Transaction{ + Version: 1, + TxIn: []*types.TxInput{ + { + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + Sequence: 0xffffffff, + SignScript: []byte{ + 0x04, 0xff, 0xff, 0x00, 0x1d, 0x01, 0x04, 0x45, /* |.......E| */ + 0x54, 0x68, 0x65, 0x20, 0x54, 0x69, 0x6d, 0x65, /* |The Time| */ + 0x73, 0x20, 0x30, 0x33, 0x2f, 0x4a, 0x61, 0x6e, /* |s 03/Jan| */ + 0x2f, 0x32, 0x30, 0x30, 0x39, 0x20, 0x43, 0x68, /* |/2009 Ch| */ + 0x61, 0x6e, 0x63, 0x65, 0x6c, 0x6c, 0x6f, 0x72, /* |ancellor| */ + 0x20, 0x6f, 0x6e, 0x20, 0x62, 0x72, 0x69, 0x6e, /* | on brin| */ + 0x6b, 0x20, 0x6f, 0x66, 0x20, 0x73, 0x65, 0x63, /* |k of sec|*/ + 0x6f, 0x6e, 0x64, 0x20, 0x62, 0x61, 0x69, 0x6c, /* |ond bail| */ + 0x6f, 0x75, 0x74, 0x20, 0x66, 0x6f, 0x72, 0x20, /* |out for |*/ + 0x62, 0x61, 0x6e, 0x6b, 0x73, /* |banks| */ + }, + }, + { + PreviousOut: types.TxOutPoint{ + Hash: hash.Hash{}, + OutIndex: 0xffffffff, + }, + Sequence: 0xffffffff, + SignScript: []byte{}, + }, + }, + Timestamp: time.Unix(1632700998, 0), // 2021-09-27 08:03:18 + LockTime: 0, + Expire: 0, + } + ledger.Ledger(&tx, protocol.MixNet) + return tx +} + +var mixNetGenesisTxs = []*types.Transaction{ + &testPowNetGenesisCoinbaseTx, + &mixNetGenesisTx1, +} + +// testNetGenesisMerkleRoot is the hash of the first transaction in the genesis block +// for the test network. +var testPowNetGenesisMerkleRoot = merkle.CalcMerkleRoot(mixNetGenesisTxs) + +// testNetGenesisBlock defines the genesis block of the block chain which +// serves as the public transaction ledger for the test network (version 3). +var testPowNetGenesisBlock = types.Block{ + Header: types.BlockHeader{ + ParentRoot: hash.Hash{}, + TxRoot: *testPowNetGenesisMerkleRoot, + Timestamp: time.Unix(1632273458, 0), // 2021-09-22 09:17:38 + Difficulty: 0x1c00ffff, // 1T diff + Pow: pow.GetInstance(pow.MEERXKECCAKV1, 0, []byte{}), + }, + Transactions: mixNetGenesisTxs, + Parents: []*hash.Hash{}, +} + +// testNetGenesisHash is the hash of the first block in the block chain for the +// test network. +var testPowNetGenesisHash = testPowNetGenesisBlock.BlockHash() diff --git a/params/params.go b/params/params.go new file mode 100644 index 0000000..0f0ac74 --- /dev/null +++ b/params/params.go @@ -0,0 +1,414 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +import ( + "encoding/hex" + "errors" + "github.com/Qitmeer/qng-core/common/hash" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/Qitmeer/qng-core/ledger" + "strings" + "time" +) + +// CheckForDuplicateHashes checks for duplicate hashes when validating blocks. +// Because of the rule inserting the height into the second (nonce) txOut, there +// should never be a duplicate transaction hash that overwrites another. However, +// because there is a 2^128 chance of a collision, the paranoid user may wish to +// turn this feature on. +var CheckForDuplicateHashes = false + +// SigHashOptimization is an optimization for verification of transactions that +// do CHECKSIG operations with hashType SIGHASH_ALL. Although there should be no +// consequences to daemons that are simply running a node, it may be the case +// that you could cause database corruption if you turn this code on, create and +// manipulate your own MsgTx, then include them in blocks. For safety, if you're +// using the daemon with wallet or mining with the daemon this should be disabled. +// If you believe that any MsgTxs in your daemon will be used mutably, do NOT +// turn on this feature. It is disabled by default. +// This feature is considered EXPERIMENTAL, enable at your own risk! +var SigHashOptimization = false + +// CPUMinerThreads is the default number of threads to utilize with the +// CPUMiner when mining. +var CPUMinerThreads = 1 + +// Checkpoint identifies a known good point in the block chain. Using +// checkpoints allows a few optimizations for old blocks during initial download +// and also prevents forks from old blocks. +// +// Each checkpoint is selected based upon several factors. See the +// documentation for blockchain.IsCheckpointCandidate for details on the +// selection criteria. +type Checkpoint struct { + Layer uint64 + Hash *hash.Hash +} + +const ( + CoinbaseVersionV1 = "0.10.4" +) + +// ConsensusDeployment defines details related to a specific consensus rule +// change that is voted in. +// NOTE: The type of time must be consistent +type ConsensusDeployment struct { + // BitNumber defines the specific bit number within the block version + // this particular soft-fork deployment refers to. + BitNumber uint8 + + // StartTime (>=CheckerTimeThreshold) is the median block time after which voting on the + // deployment starts . + // or + // StartTime (< CheckerTimeThreshold) is the block main height after which voting on the + // deployment starts . + StartTime uint64 + + // ExpireTime (>=CheckerTimeThreshold) is the median block time after which the attempted + // deployment expires. + // or + // ExpireTime (< CheckerTimeThreshold) is the block main height after which the attempted + // deployment expires. + ExpireTime uint64 + + // PerformTime (>=CheckerTimeThreshold) is the median block time after which the attempted + // deployment perform. + // or + // PerformTime (< CheckerTimeThreshold) is the block main height after which the attempted + // deployment perform. + PerformTime uint64 +} + +// Constants that define the deployment offset in the deployments field of the +// parameters for each deployment. This is useful to be able to get the details +// of a specific deployment by name. +const ( + // DeploymentTestDummy defines the rule change deployment ID for testing + // purposes. + DeploymentTestDummy = iota + + // DeploymentToken defines the rule change deployment ID for the token + // soft-fork package. + DeploymentToken + + // NOTE: DefinedDeployments must always come last since it is used to + // determine how many defined deployments there currently are. + + // DefinedDeployments is the number of currently defined deployments. + DefinedDeployments +) + +// Params defines a qitmeer network by its parameters. These parameters may be +// used by qitmeer applications to differentiate networks as well as addresses +// and keys for one network from those intended for use on another network. +type Params struct { + // Name defines a human-readable identifier for the network. + Name string + + // Net defines the magic bytes used to identify the network. + Net protocol.Network + + // TCPPort defines the default peer-to-peer tcp port for the network. + DefaultPort string + + // DefaultUDPPort defines the default peer-to-peer udp port for the network. + DefaultUDPPort int + + // Bootstrap defines a list of boot node for the network that are used + // as one method to discover peers. + Bootstrap []string + + // GenesisBlock defines the first block of the chain. + GenesisBlock *types.Block + + // GenesisHash is the starting block hash. + GenesisHash *hash.Hash + + // PowConfig defines the highest allowed proof of work value for a block or lowest difficulty for a block + PowConfig *pow.PowConfig + + // WorkDiffAlpha is the stake difficulty EMA calculation alpha (smoothing) + // value. It is different from a normal EMA alpha. Closer to 1 --> smoother. + WorkDiffAlpha int64 + + // WorkDiffWindowSize is the number of windows (intervals) used for calculation + // of the exponentially weighted average. + WorkDiffWindowSize int64 + + // WorkDiffWindows is the number of windows (intervals) used for calculation + // of the exponentially weighted average. + WorkDiffWindows int64 + + // CoinbaseMaturity is the number of blocks required before newly mined + // coins (coinbase transactions) can be spent. + CoinbaseMaturity uint16 + + // TargetTimespan is the desired amount of time that should elapse + // before the block difficulty requirement is examined to determine how + // it should be changed in order to maintain the desired block + // generation rate. + TargetTimespan time.Duration + + // TargetTimePerBlock is the desired amount of time to generate each + // block. + TargetTimePerBlock time.Duration + + // RetargetAdjustmentFactor is the adjustment factor used to limit + // the minimum and maximum amount of adjustment that can occur between + // difficulty retargets. + RetargetAdjustmentFactor int64 + + // ReduceMinDifficulty defines whether the network should reduce the + // minimum required difficulty after a long enough period of time has + // passed without finding a block. This is really only useful for test + // networks and should not be set on a main network. + ReduceMinDifficulty bool + + // MinDiffReductionTime is the amount of time after which the minimum + // required difficulty should be reduced when a block hasn't been found. + // + // NOTE: This only applies if ReduceMinDifficulty is true. + MinDiffReductionTime time.Duration + + // GenerateSupported specifies whether or not CPU mining is allowed. + GenerateSupported bool + + // MaximumBlockSizes are the maximum sizes of a block that can be + // generated on the network. It is an array because the max block size + // can be different values depending on the results of a voting agenda. + // The first entry is the initial block size for the network, while the + // other entries are potential block size changes which take effect when + // the vote for the associated agenda succeeds. + MaximumBlockSizes []int + + // MaxTxSize is the maximum number of bytes a serialized transaction can + // be in order to be considered valid by consensus. + MaxTxSize int + + // Subsidy parameters. + // + // Subsidy calculation for exponential reductions: + // 0 for i in range (0, height / SubsidyReductionInterval): + // 1 subsidy *= MulSubsidy + // 2 subsidy /= DivSubsidy + // + // Caveat: Don't overflow the int64 register!! + + // BaseSubsidy is the starting subsidy amount for mined blocks. + BaseSubsidy int64 + + // Subsidy reduction multiplier. + MulSubsidy int64 + + // Subsidy reduction divisor. + DivSubsidy int64 + + // SubsidyReductionInterval is the reduction interval in blocks. + SubsidyReductionInterval int64 + + // TargetTotalSubsidy is the target total subsidy. + TargetTotalSubsidy int64 + + // WorkRewardProportion is the comparative amount of the subsidy given for + // creating a block. + WorkRewardProportion uint16 + + // StakeRewardProportion is the comparative amount of the subsidy given for + // casting stake votes (collectively, per block). + StakeRewardProportion uint16 + + // BlockTaxProportion is the inverse of the percentage of funds for each + // block to allocate to the developer organization. + // e.g. 10% --> 10 (or 1 / (1/10)) + // Special case: disable taxes with a value of 0 + BlockTaxProportion uint16 + + // It must be hourglass block. + // Checkpoints ordered from oldest to newest. + Checkpoints []Checkpoint + + // These fields are related to voting on consensus rule changes as + // defined by BIP0009. + // + // RuleChangeActivationThreshold is the number of blocks in a threshold + // state retarget window for which a positive vote for a rule change + // must be cast in order to lock in a rule change. It should typically + // be 95% for the main network and 75% for test networks. + // + // MinerConfirmationWindow is the number of blocks in each threshold + // state retarget window. + // + // Deployments define the specific consensus rule changes to be voted + // on. + RuleChangeActivationThreshold uint32 + MinerConfirmationWindow uint32 + Deployments []ConsensusDeployment + + // Mempool parameters + RelayNonStdTxs bool + + // NetworkAddressPrefix is the first letter of the network + // for any given address encoded as a string. + NetworkAddressPrefix string + + // Address encoding magics + PubKeyAddrID [2]byte // First 2 bytes of a P2PK address + PubKeyHashAddrID [2]byte // First 2 bytes of P2PKH address + PKHEdwardsAddrID [2]byte // First 2 bytes of Edwards P2PKH address + PKHSchnorrAddrID [2]byte // First 2 bytes of secp256k1 Schnorr P2PKH address + + ScriptHashAddrID [2]byte // First 2 bytes of a P2SH address + PrivateKeyID [2]byte // First 2 bytes of a WIF private key + + // BIP32 hierarchical deterministic extended key magics + HDPrivateKeyID [4]byte + HDPublicKeyID [4]byte + + // BIP44 coin type used in the hierarchical deterministic path for + // address generation. + HDCoinType uint32 + + // OrganizationPkScript is the output script for block taxes to be + // distributed to in every block's coinbase. It should ideally be a P2SH + // multisignature address. + // TODO revisit the org-pkscript design + OrganizationPkScript []byte + + // TokenAdminPkScript is the output script for token + // It should ideally be a P2SH multisignature address. + TokenAdminPkScript []byte + + // the output script for guard lock address + GuardAddrPkScript []byte + // the output script for honor lock address + HonorAddrPkScript []byte + + // DAG + BlockDelay float64 + BlockRate float64 + SecurityLevel float64 + + LedgerParams ledger.LedgerParams + + CoinbaseConfig CoinbaseConfigs +} + +type CoinbaseConfig struct { + Height int64 + Version string + ExtraDataIncludedVer bool + ExtraDataIncludedNodeInfo bool +} + +type CoinbaseConfigs []CoinbaseConfig + +func (cf *CoinbaseConfigs) CheckVersion(curHeight int64, coinbase []byte) bool { + version := cf.GetCurrentVersion(curHeight) + return version == "" || strings.Contains(string(coinbase), version) +} + +func (cf *CoinbaseConfigs) GetCurrentVersion(curHeight int64) string { + current := cf.GetCurrentConfig(curHeight) + if current != nil && current.ExtraDataIncludedVer { + return current.Version + } + return "" +} + +func (cf *CoinbaseConfigs) GetCurrentConfig(curHeight int64) *CoinbaseConfig { + var cc *CoinbaseConfig = nil + for i := 0; i < len(*cf); i++ { + config := (*cf)[i] + if config.Height > curHeight { + break + } + cc = &config + } + return cc +} + +// TotalSubsidyProportions is the sum of POW Reward, POS Reward, and Tax +// proportions. +func (p *Params) TotalSubsidyProportions() uint16 { + return p.WorkRewardProportion + p.StakeRewardProportion + p.BlockTaxProportion +} + +// has tax +func (p *Params) HasTax() bool { + if p.BlockTaxProportion > 0 && + len(p.OrganizationPkScript) > 0 { + return true + } + return false +} + +var ( + // ErrDuplicateNet describes an error where the parameters for a network + // could not be set due to the network already being a standard + // network or previously-registered into this package. + ErrDuplicateNet = errors.New("duplicate network") + + // ErrUnknownHDKeyID describes an error where the provided id which + // is intended to identify the network for a hierarchical deterministic + // private extended key is not registered. + ErrUnknownHDKeyID = errors.New("unknown hd private extended key bytes") +) + +var ( + registeredNets = make(map[protocol.Network]struct{}) + pubKeyHashAddrIDs = make(map[[2]byte]struct{}) + scriptHashAddrIDs = make(map[[2]byte]struct{}) + hdPrivToPubKeyIDs = make(map[[4]byte][]byte) +) + +// Register registers the network parameters for a Bitcoin network. This may +// error with ErrDuplicateNet if the network is already registered (either +// due to a previous Register call, or the network being one of the default +// networks). +// +// Network parameters should be registered into this package by a main package +// as early as possible. Then, library packages may lookup networks or network +// parameters based on inputs and work regardless of the network being standard +// or not. +func Register(params *Params) error { + if _, ok := registeredNets[params.Net]; ok { + return ErrDuplicateNet + } + registeredNets[params.Net] = struct{}{} + pubKeyHashAddrIDs[params.PubKeyHashAddrID] = struct{}{} + scriptHashAddrIDs[params.ScriptHashAddrID] = struct{}{} + hdPrivToPubKeyIDs[params.HDPrivateKeyID] = params.HDPublicKeyID[:] + + return nil +} + +// mustRegister performs the same function as Register except it panics if there +// is an error. This should only be called from package init functions. +func mustRegister(params *Params) { + if err := Register(params); err != nil { + panic("failed to register network: " + err.Error()) + } +} + +func init() { + // Register all default networks when the package is initialized. + mustRegister(&MainNetParams) + mustRegister(&TestNetParams) + mustRegister(&PrivNetParams) + mustRegister(&MixNetParams) +} + +// TODO, move to hex util +func hexMustDecode(hexStr string) []byte { + b, err := hex.DecodeString(hexStr) + if err != nil { + panic(err) + } + return b +} diff --git a/params/params_mainnet.go b/params/params_mainnet.go new file mode 100644 index 0000000..56957fd --- /dev/null +++ b/params/params_mainnet.go @@ -0,0 +1,146 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +import ( + "github.com/Qitmeer/qng-core/common" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/Qitmeer/qng-core/ledger" + "math/big" + "time" +) + +// mainPowLimit is the highest proof of work value a block can +// have for the main network. It is the value 2^212 - 1. +// target 00000000000fffffffffffffffffffffffffffffffffffffffffffffffffffff +// Min Diff 17 T +// compact 0x1b0fffff +var mainPowLimit = new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 212), common.Big1) + +// target time per block unit second(s) +const mainTargetTimePerBlock = 30 + +// Difficulty check interval is about 60*30 = 30 mins +const mainWorkDiffWindowSize = 60 + +// MainNetParams defines the network parameters for the main network. +var MainNetParams = Params{ + Name: "mainnet", + Net: protocol.MainNet, + DefaultPort: "8130", + DefaultUDPPort: 8140, + Bootstrap: []string{ + "/dns4/node.meerscan.io/tcp/28130/p2p/16Uiu2HAmTdcrQ2S4MD6UxeR81Su8DQdt2eB7vLzJA7LrawNf93T2", + "/dns4/ns-cn.qitmeer.xyz/tcp/18150/p2p/16Uiu2HAm45YEQXf5sYgpebp1NvPS96ypvvpz5uPx7iPHmau94vVk", + "/dns4/ns.qitmeer.top/tcp/28230/p2p/16Uiu2HAmRtp5CjNv3WvPYuh7kNXXZQDYegwFFeDH9vWY3JY4JS1W", + "/dns4/boot.qitmir.info/tcp/2001/p2p/16Uiu2HAmJ8qBBgoNoHH84ntLuXB9sqDngh82zZgaEejdFUYGR59Y", + }, + LedgerParams: ledger.LedgerParams{ + GenesisAmountUnit: 1000 * 1e8, // 1000 MEER every utxo + MaxLockHeight: 86400 / mixTargetTimePerBlock * 365 * 5, // max lock height + }, + // Chain parameters + GenesisBlock: &genesisBlock, + GenesisHash: &genesisHash, + PowConfig: &pow.PowConfig{ + Blake2bdPowLimit: mainPowLimit, + Blake2bdPowLimitBits: 0x1b0fffff, + X16rv3PowLimit: mainPowLimit, + X16rv3PowLimitBits: 0x1b0fffff, + X8r16PowLimit: mainPowLimit, + X8r16PowLimitBits: 0x1b0fffff, + QitmeerKeccak256PowLimit: mainPowLimit, + QitmeerKeccak256PowLimitBits: 0x1b0fffff, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 4 find once + CuckarooMinDifficulty: 0x1300000 * 4, + CuckaroomMinDifficulty: 0x1300000 * 4, + CuckatooMinDifficulty: 0x1300000 * 4, + MeerXKeccakV1PowLimit: mainPowLimit, + MeerXKeccakV1PowLimitBits: 0x1b0fffff, + Percent: map[pow.MainHeight]pow.PercentItem{ + pow.MainHeight(0): { + pow.MEERXKECCAKV1: 100, + }, + }, + // after this height the big graph will be the main pow graph + AdjustmentStartMainHeight: 45 * 1440 * 60 / mainTargetTimePerBlock, + }, + CoinbaseConfig: CoinbaseConfigs{}, + ReduceMinDifficulty: false, + MinDiffReductionTime: 0, // Does not apply since ReduceMinDifficulty false + GenerateSupported: false, + WorkDiffAlpha: 1, + WorkDiffWindowSize: mainWorkDiffWindowSize, + WorkDiffWindows: 20, // + MaximumBlockSizes: []int{1310720}, + MaxTxSize: 1000000, + TargetTimePerBlock: time.Second * mainTargetTimePerBlock, + TargetTimespan: time.Second * mainTargetTimePerBlock * mainWorkDiffWindowSize, // TimePerBlock * WindowSize + RetargetAdjustmentFactor: 2, + + // Subsidy parameters. + BaseSubsidy: 10 * 1e8, // POW daily supply is almost 24*60*(60/30)*10 = 28880, ignore the DAG concurrent increment. + MulSubsidy: 0, // subsidy reduce to zero after 7986093 block created + DivSubsidy: 101, + SubsidyReductionInterval: 7986093, // (210240000-50518130)/2/BaseSubsidy = 7986093 + // total POW + locked supply almost = 79860930*2*10 = 159721860, ignore DAG increment. + WorkRewardProportion: 10, + StakeRewardProportion: 0, + BlockTaxProportion: 0, + + // Checkpoints ordered from oldest to newest. + Checkpoints: []Checkpoint{}, + + // Consensus rule change deployments. + // + // The miner confirmation window is defined as: + // target proof of work timespan / target proof of work spacing + RuleChangeActivationThreshold: 57, + MinerConfirmationWindow: mainWorkDiffWindowSize, + Deployments: []ConsensusDeployment{ + DeploymentTestDummy: { + BitNumber: 28, + }, + DeploymentToken: { + BitNumber: 0, + StartTime: 0, + ExpireTime: mainWorkDiffWindowSize * 2, + }, + }, + + // Address encoding magics + NetworkAddressPrefix: "M", + PubKeyAddrID: [2]byte{0x1f, 0xc5}, // starts with Mk + PubKeyHashAddrID: [2]byte{0x0b, 0xb1}, // starts with Mm + PKHEdwardsAddrID: [2]byte{0x0b, 0x9f}, // starts with Me + PKHSchnorrAddrID: [2]byte{0x0b, 0xbd}, // starts with Mr + ScriptHashAddrID: [2]byte{0x0b, 0x81}, // starts with MS + PrivateKeyID: [2]byte{0x22, 0xdc}, // starts with Pm + + // BIP32 hierarchical deterministic extended key magics + HDPrivateKeyID: [4]byte{0x03, 0xb8, 0xc4, 0x22}, // starts with nprv + HDPublicKeyID: [4]byte{0x03, 0xb8, 0xc8, 0x58}, // starts with npub + + // BIP44 coin type used in the hierarchical deterministic path for + // address generation. + // TODO : register coin type + // https://github.com/satoshilabs/slips/blob/master/slip-0044.md + HDCoinType: 223, + + CoinbaseMaturity: 720, + + OrganizationPkScript: hexMustDecode("76a914e99ebf409dda2a10ea9970651021d8e552f286de88ac"), + TokenAdminPkScript: hexMustDecode("00000000c96d6d76a914b8834294977b26a44094fe2216f8a7d59af1130888ac"), + + // MmQitmeerMainNetGuardAddressXd7b76q + GuardAddrPkScript: hexMustDecode("76a9143846e53e5e952b5cd6023e3ad3cfc75cb93fce0388ac"), + // MmQitmeerMainNetHonorAddressXY9JH2y + HonorAddrPkScript: hexMustDecode("76a9143846e53e5e952b5cd60240ad9c4cf6164dd5090988ac"), +} diff --git a/params/params_mixnet.go b/params/params_mixnet.go new file mode 100644 index 0000000..1f76ae7 --- /dev/null +++ b/params/params_mixnet.go @@ -0,0 +1,147 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +import ( + "github.com/Qitmeer/qng-core/common" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/Qitmeer/qng-core/ledger" + "math/big" + "time" +) + +// testMixNetPowLimit is the highest proof of work value a block can +// have for the test network. It is the value 2^224 - 1. +// target 0x0000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffff +var testMixNetPowLimit = new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 216), common.Big1) + +// target time per block unit second(s) +const mixTargetTimePerBlock = 30 + +// Difficulty check interval is about 60*15 = 15 mins +const mixWorkDiffWindowSize = 60 + +// testPowNetParams defines the network parameters for the test network. +var MixNetParams = Params{ + Name: "mixnet", + Net: protocol.MixNet, + DefaultPort: "28130", + DefaultUDPPort: 28140, + Bootstrap: []string{ + "/dns4/ns.qitmeer.top/tcp/28230/p2p/16Uiu2HAmRtp5CjNv3WvPYuh7kNXXZQDYegwFFeDH9vWY3JY4JS1W", + }, + + // Chain parameters + GenesisBlock: &testPowNetGenesisBlock, + GenesisHash: &testPowNetGenesisHash, + ReduceMinDifficulty: false, + MinDiffReductionTime: 0, // Does not apply since ReduceMinDifficulty false + GenerateSupported: true, + LedgerParams: ledger.LedgerParams{ + GenesisAmountUnit: 1000 * 1e8, // 1000 MEER every utxo + MaxLockHeight: 86400 / mixTargetTimePerBlock * 365 * 5, // max lock height + }, + CoinbaseConfig: CoinbaseConfigs{ + { + Height: 23000, + Version: CoinbaseVersionV1, + ExtraDataIncludedVer: true, + ExtraDataIncludedNodeInfo: true, + }, + }, + PowConfig: &pow.PowConfig{ + Blake2bdPowLimit: testMixNetPowLimit, + Blake2bdPowLimitBits: 0x2003ffff, + X16rv3PowLimit: testMixNetPowLimit, + X16rv3PowLimitBits: 0x2003ffff, + X8r16PowLimit: testMixNetPowLimit, + X8r16PowLimitBits: 0x2003ffff, + QitmeerKeccak256PowLimit: testMixNetPowLimit, + QitmeerKeccak256PowLimitBits: 0x2003ffff, + CryptoNightPowLimit: testMixNetPowLimit, + CryptoNightPowLimitBits: 0x2003ffff, + MeerXKeccakV1PowLimit: testMixNetPowLimit, + MeerXKeccakV1PowLimitBits: 0x1c00ffff, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 2 ≈ 1min find once + CuckarooMinDifficulty: 0x1600000, // 96 + CuckatooMinDifficulty: 0x1600000, // 96 + CuckaroomMinDifficulty: 0x1600000, // 96 + + Percent: map[pow.MainHeight]pow.PercentItem{ + pow.MainHeight(0): { + pow.MEERXKECCAKV1: 100, + }, + }, + // after this height the big graph will be the main pow graph + AdjustmentStartMainHeight: 1440 * 15 / mixTargetTimePerBlock, + }, + + WorkDiffAlpha: 1, + WorkDiffWindowSize: mixWorkDiffWindowSize, + WorkDiffWindows: 20, + MaximumBlockSizes: []int{1310720}, + MaxTxSize: 1000000, + TargetTimePerBlock: time.Second * mixTargetTimePerBlock, + TargetTimespan: time.Second * mixTargetTimePerBlock * mixWorkDiffWindowSize, // TimePerBlock * WindowSize + RetargetAdjustmentFactor: 2, + + // Subsidy parameters. + BaseSubsidy: 10 * 1e8, // 10 Coin, stay same with testnet + MulSubsidy: 100, + DivSubsidy: 10000000000000, // Coin-base reward reduce to zero at 1540677 blocks created + SubsidyReductionInterval: 1669066, // 120 * 1669066 (blocks) *= 200287911 (200M) -> 579 ~ 289 days + WorkRewardProportion: 10, + StakeRewardProportion: 0, + BlockTaxProportion: 0, + + // Checkpoints ordered from oldest to newest. + Checkpoints: []Checkpoint{}, + + // Consensus rule change deployments. + // + // The miner confirmation window is defined as: + // target proof of work timespan / target proof of work spacing + RuleChangeActivationThreshold: 57, // 95% of MinerConfirmationWindow + MinerConfirmationWindow: mixWorkDiffWindowSize, // + Deployments: []ConsensusDeployment{ + DeploymentTestDummy: { + BitNumber: 28, + StartTime: 1626688646, // 2021-07-19 09:58:47 UTC + ExpireTime: 1655200727, // 2022-06-14 09:58:47 UTC + PerformTime: 1655204327, // 2022-06-14 10:58:47 UTC + }, + DeploymentToken: { + BitNumber: 0, + StartTime: 1440, + ExpireTime: 14400, + }, + }, + + // Address encoding magics + NetworkAddressPrefix: "X", + PubKeyAddrID: [2]byte{0x2f, 0x16}, // starts with Xx + PubKeyHashAddrID: [2]byte{0x11, 0x52}, // starts with Xm + PKHEdwardsAddrID: [2]byte{0x11, 0x41}, // starts with Xe + PKHSchnorrAddrID: [2]byte{0x11, 0x5f}, // starts with Xr + ScriptHashAddrID: [2]byte{0x11, 0x23}, // starts with XS + PrivateKeyID: [2]byte{0x23, 0x26}, // starts with Px + + // BIP32 hierarchical deterministic extended key magics + HDPrivateKeyID: [4]byte{0x01, 0x9d, 0x0b, 0xe1}, // starts with LsFC + HDPublicKeyID: [4]byte{0x01, 0x9d, 0x0d, 0x62}, // starts with LsG9 + + // BIP44 coin type used in the hierarchical deterministic path for + // address generation. + HDCoinType: 223, + + CoinbaseMaturity: 720, + OrganizationPkScript: hexMustDecode("76a91429209320e66d96839785dd07e643a7f1592edc5a88ac"), + TokenAdminPkScript: hexMustDecode("00000000c96d6d76a914b8834294977b26a44094fe2216f8a7d59af1130888ac"), +} diff --git a/params/params_privnet.go b/params/params_privnet.go new file mode 100644 index 0000000..9bd901d --- /dev/null +++ b/params/params_privnet.go @@ -0,0 +1,163 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +import ( + "github.com/Qitmeer/qng-core/common" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/Qitmeer/qng-core/ledger" + "math/big" + "time" +) + +// privNetPowLimit is the highest proof of work value a block can +// have for the private test network. It is the value 2^255 - 1. +var privNetPowLimit = new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 255), common.Big1) + +// target time per block unit second(s) +const privTargetTimePerBlock = 30 + +// PirvNetParams defines the network parameters for the private test network. +// This network is similar to the normal test network except it is +// intended for private use within a group of individuals doing simulation +// testing. The functionality is intended to differ in that the only nodes +// which are specifically specified are used to create the network rather than +// following normal discovery rules. This is important as otherwise it would +// just turn into another public testnet. +var PrivNetParams = Params{ + Name: "privnet", + Net: protocol.PrivNet, + DefaultPort: "38130", + DefaultUDPPort: 38140, + Bootstrap: []string{}, + + // Chain parameters + GenesisBlock: &privNetGenesisBlock, + GenesisHash: &privNetGenesisHash, + LedgerParams: ledger.LedgerParams{ + GenesisAmountUnit: 1000 * 1e8, + MaxLockHeight: 10 * 365 * 5, + }, + PowConfig: &pow.PowConfig{ + Blake2bdPowLimit: privNetPowLimit, + Blake2bdPowLimitBits: 0x207fffff, + X8r16PowLimit: privNetPowLimit, + X8r16PowLimitBits: 0x207fffff, + X16rv3PowLimit: privNetPowLimit, + X16rv3PowLimitBits: 0x207fffff, + QitmeerKeccak256PowLimit: privNetPowLimit, + QitmeerKeccak256PowLimitBits: 0x207fffff, + MeerXKeccakV1PowLimit: privNetPowLimit, + MeerXKeccakV1PowLimitBits: 0x207fffff, + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1 times use for privnet if GPS is 2. need 50 /2 = 25s find once + CuckarooMinDifficulty: 0x1300000, + CuckatooMinDifficulty: 0x1300000, + CuckaroomMinDifficulty: 0x1300000, + + Percent: map[pow.MainHeight]pow.PercentItem{ + pow.MainHeight(0): { + pow.BLAKE2BD: 10, + pow.CUCKAROO: 10, + pow.CUCKATOO: 20, + pow.CUCKAROOM: 10, + pow.X16RV3: 10, + pow.X8R16: 20, + pow.MEERXKECCAKV1: 20, + }, + pow.MainHeight(50): { + pow.BLAKE2BD: 0, + pow.CUCKAROO: 30, + pow.CUCKATOO: 0, + pow.CUCKAROOM: 30, + pow.X16RV3: 10, + pow.X8R16: 0, + pow.QITMEERKECCAK256: 0, + pow.MEERXKECCAKV1: 30, + }, + pow.MainHeight(100): { + pow.BLAKE2BD: 0, + pow.CUCKAROO: 0, + pow.CUCKATOO: 0, + pow.CUCKAROOM: 70, + pow.X16RV3: 0, + pow.X8R16: 0, + pow.MEERXKECCAKV1: 30, + }, + }, + // after this height the big graph will be the main pow graph + AdjustmentStartMainHeight: 45 * 1440 * 60 / privTargetTimePerBlock, + }, + CoinbaseConfig: CoinbaseConfigs{ + { + Height: 0, + Version: "0.10.1", + }, + { + Height: 10, + Version: "0.10.2", + ExtraDataIncludedVer: true, + ExtraDataIncludedNodeInfo: true, + }, + { + Height: 20, + Version: "0.10.3", + ExtraDataIncludedVer: true, + ExtraDataIncludedNodeInfo: true, + }, + }, + ReduceMinDifficulty: false, + MinDiffReductionTime: 0, // Does not apply since ReduceMinDifficulty false + GenerateSupported: true, + MaximumBlockSizes: []int{1000000, 1310720}, + MaxTxSize: 1000000, + WorkDiffAlpha: 1, + WorkDiffWindowSize: 160, + WorkDiffWindows: 20, + TargetTimePerBlock: time.Second * privTargetTimePerBlock, + TargetTimespan: time.Second * privTargetTimePerBlock * 16, // TimePerBlock * WindowSize + RetargetAdjustmentFactor: 2, + + // Subsidy parameters. + BaseSubsidy: 50000000000, + MulSubsidy: 100, + DivSubsidy: 101, + SubsidyReductionInterval: 128, + WorkRewardProportion: 10, + StakeRewardProportion: 0, + BlockTaxProportion: 0, + + // Checkpoints ordered from oldest to newest. + Checkpoints: nil, + + // Address encoding magics + NetworkAddressPrefix: "R", + PubKeyAddrID: [2]byte{0x25, 0xe5}, // starts with Rk + PubKeyHashAddrID: [2]byte{0x0d, 0xf1}, // starts with Rm + PKHEdwardsAddrID: [2]byte{0x0d, 0xe0}, // starts with Re + PKHSchnorrAddrID: [2]byte{0x0d, 0xfe}, // starts with Rr + ScriptHashAddrID: [2]byte{0x0d, 0xc2}, // starts with RS + PrivateKeyID: [2]byte{0x22, 0xfe}, // starts with Pr + + // BIP32 hierarchical deterministic extended key magics + HDPrivateKeyID: [4]byte{0x04, 0x0b, 0xee, 0x6e}, // starts with rprv + HDPublicKeyID: [4]byte{0x04, 0x0b, 0xf2, 0xa7}, // starts with rpub + + // BIP44 coin type used in the hierarchical deterministic path for + // address generation. + // TODO coin type + HDCoinType: 223, // ASCII for s + + OrganizationPkScript: hexMustDecode("76a91429209320e66d96839785dd07e643a7f1592edc5a88ac"), + + // Because it's only for testing, it comes from testwallet.go + TokenAdminPkScript: hexMustDecode("00000000c96d6d76a914785bfbf4ecad8b72f2582be83616c5d364a3244288ac"), + + CoinbaseMaturity: 16, +} diff --git a/params/params_test.go b/params/params_test.go new file mode 100644 index 0000000..2c5a863 --- /dev/null +++ b/params/params_test.go @@ -0,0 +1,91 @@ +package params + +import ( + "bytes" + "fmt" + "github.com/Qitmeer/qng-core/common/encode/base58" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/stretchr/testify/assert" + "math/big" + "strings" + "testing" +) + +func TestPowLimitToBits(t *testing.T) { + compact := pow.BigToCompact(testMixNetPowLimit) + assert.Equal(t, fmt.Sprintf("0x%064x", testMixNetPowLimit), "0x0000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffff") + assert.Equal(t, fmt.Sprintf("0x%x", compact), "0x1c00ffff") +} + +//test blake2bd percent params +func TestPercent(t *testing.T) { + types := []pow.PowType{pow.BLAKE2BD, pow.CUCKAROO, pow.CUCKATOO, pow.CUCKAROOM} + for _, powType := range types { + instance := pow.GetInstance(powType, 0, []byte{}) + instance.SetParams(PrivNetParam.PowConfig) + percent := new(big.Int) + for mheight, pi := range PrivNetParam.PowConfig.Percent { + instance.SetMainHeight(pow.MainHeight(mheight + 1)) + percent.SetInt64(int64(pi[powType])) + + percent.Lsh(percent, 32) + assert.Equal(t, percent.Uint64(), instance.PowPercent().Uint64()) + } + } + +} + +// test address prefixes for all qitmeer network params +func TestQitmeerAddressPerfixes(t *testing.T) { + checkAddressPrefixesAreConsistent(t, "Pm", &MainNetParams) + checkAddressPrefixesAreConsistent(t, "Pt", &TestNetParams) + checkAddressPrefixesAreConsistent(t, "Px", &MixNetParams) + checkAddressPrefixesAreConsistent(t, "Pr", &PrivNetParams) +} + +func checkAddressPrefixesAreConsistent(t *testing.T, privateKeyPrefix string, params *Params) { + P := params.NetworkAddressPrefix + + Pk := P + "k" + Pm := P + "m" + if P == "T" { + // Since 0.10.0 release Testnet PubKeyHashAddrID using Tn, Tm using by 0.9.x testnet + Pm = P + "n" + } + Pe := P + "e" + Pr := P + "r" + PS := P + "S" + pk := privateKeyPrefix + + checkEncodedKeys(t, Pk, 33, params.Name, params.PubKeyAddrID) + checkEncodedKeys(t, Pm, 20, params.Name, params.PubKeyHashAddrID) + checkEncodedKeys(t, Pe, 20, params.Name, params.PKHEdwardsAddrID) + checkEncodedKeys(t, Pr, 20, params.Name, params.PKHSchnorrAddrID) + checkEncodedKeys(t, PS, 20, params.Name, params.ScriptHashAddrID) + checkEncodedKeys(t, pk, 33, params.Name, params.PrivateKeyID) +} + +// check for the min and max possible keys +// Then prefixes are checked for mismatch. +func checkEncodedKeys(t *testing.T, desiredPrefix string, keySize int, networkName string, magic [2]byte) { + // min and max possible keys + // all zeroes + minKey := bytes.Repeat([]byte{0x00}, keySize) + // all ones + maxKey := bytes.Repeat([]byte{0xff}, keySize) + + encodedMinKey, _ := base58.QitmeerCheckEncode(minKey, magic[:]) + encodedMaxKey, _ := base58.QitmeerCheckEncode(maxKey, magic[:]) + + checkPrefix(t, desiredPrefix, string(encodedMinKey), networkName, magic) + checkPrefix(t, desiredPrefix, string(encodedMaxKey), networkName, magic) +} + +// checkPrefix checks if targetString starts with the given prefix +func checkPrefix(t *testing.T, prefix string, targetString, networkName string, magic [2]byte) { + if strings.Index(targetString, prefix) != 0 { + t.Logf("Address prefix mismatch for <%s>: expected <%s> received <%s>, magic <%x>", + networkName, prefix, targetString, magic) + t.FailNow() + } +} diff --git a/params/params_testnet.go b/params/params_testnet.go new file mode 100644 index 0000000..f560120 --- /dev/null +++ b/params/params_testnet.go @@ -0,0 +1,145 @@ +// Copyright (c) 2017-2018 The qitmeer developers +// Copyright (c) 2014-2016 The btcsuite developers +// Copyright (c) 2015-2017 The Decred developers +// Use of this source code is governed by an ISC +// license that can be found in the LICENSE file. + +package params + +import ( + "github.com/Qitmeer/qng-core/common" + "github.com/Qitmeer/qng-core/common/math" + "github.com/Qitmeer/qng-core/core/protocol" + "github.com/Qitmeer/qng-core/core/types/pow" + "github.com/Qitmeer/qng-core/ledger" + "math/big" + "time" +) + +// testNetPowLimit is the highest proof of work value a block can +// have for the test network. It is the value 2^242 - 1. +var testNetPowLimit = new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 242), common.Big1) +var maxNetPowLimit = new(big.Int).Sub(new(big.Int).Lsh(common.Big1, 0), common.Big1) + +// target time per block unit second(s) +const testTargetTimePerBlock = 30 + +// Difficulty check interval is about 60*30 = 30 mins +const testWorkDiffWindowSize = 60 + +// TestNetParams defines the network parameters for the test network. +var TestNetParams = Params{ + Name: "testnet", + Net: protocol.TestNet, + DefaultPort: "18150", + DefaultUDPPort: 18160, + Bootstrap: []string{ + "/dns4/node.meerscan.io/tcp/28130/p2p/16Uiu2HAmTdcrQ2S4MD6UxeR81Su8DQdt2eB7vLzJA7LrawNf93T2", + "/dns4/ns-cn.qitmeer.xyz/tcp/18150/p2p/16Uiu2HAm45YEQXf5sYgpebp1NvPS96ypvvpz5uPx7iPHmau94vVk", + "/dns4/ns.qitmeer.top/tcp/28230/p2p/16Uiu2HAmRtp5CjNv3WvPYuh7kNXXZQDYegwFFeDH9vWY3JY4JS1W", + "/dns4/boot.qitmir.info/tcp/2001/p2p/16Uiu2HAmJ8qBBgoNoHH84ntLuXB9sqDngh82zZgaEejdFUYGR59Y", + }, + LedgerParams: ledger.LedgerParams{ // lock tx release rule in genesis + GenesisAmountUnit: 1000 * 1e8, // 1000 MEER every utxo + MaxLockHeight: 2880 * 365 * 5, + }, + // Chain parameters + GenesisBlock: &testNetGenesisBlock, + GenesisHash: &testNetGenesisHash, + PowConfig: &pow.PowConfig{ + Blake2bdPowLimit: maxNetPowLimit, + Blake2bdPowLimitBits: 0x0, // compact from of testNetPowLimit 0 + X16rv3PowLimit: maxNetPowLimit, + X16rv3PowLimitBits: 0x0, // compact from of testNetPowLimit 0 + X8r16PowLimit: maxNetPowLimit, + X8r16PowLimitBits: 0x0, // compact from of testNetPowLimit 0 + QitmeerKeccak256PowLimit: maxNetPowLimit, + QitmeerKeccak256PowLimitBits: 0x0, // compact from of testNetPowLimit 0 + MeerXKeccakV1PowLimit: testNetPowLimit, + MeerXKeccakV1PowLimitBits: 0x1f0198f2, // compact from of testNetPowLimit (2^242-1) + //hash ffffffffffffffff000000000000000000000000000000000000000000000000 corresponding difficulty is 48 for edge bits 24 + // Uniform field type uint64 value is 48 . bigToCompact the uint32 value + // 24 edge_bits only need hash 1*4 times use for privnet if GPS is 2. need 50 /2 * 4 = 1min find once + CuckarooMinDifficulty: 0x87fffff, // diff: max int64 + CuckatooMinDifficulty: 0x87fffff, // diff: max int64 + CuckaroomMinDifficulty: 0x87fffff, // diff: max int64 + + Percent: map[pow.MainHeight]pow.PercentItem{ + pow.MainHeight(0): { + pow.MEERXKECCAKV1: 100, + }, + }, + // after this height the big graph will be the main pow graph + AdjustmentStartMainHeight: 365 * 1440 * 60 / testTargetTimePerBlock, + }, + CoinbaseConfig: CoinbaseConfigs{ + { + Height: 61279, + Version: "0.10.4", + ExtraDataIncludedVer: true, + ExtraDataIncludedNodeInfo: true, + }, + }, + ReduceMinDifficulty: false, + MinDiffReductionTime: 0, // Does not apply since ReduceMinDifficulty false + GenerateSupported: true, + WorkDiffAlpha: 1, + WorkDiffWindowSize: testWorkDiffWindowSize, + WorkDiffWindows: 20, + MaximumBlockSizes: []int{1310720}, + MaxTxSize: 1000000, + TargetTimePerBlock: time.Second * testTargetTimePerBlock, + TargetTimespan: time.Second * testTargetTimePerBlock * testWorkDiffWindowSize, // TimePerBlock * WindowSize + RetargetAdjustmentFactor: 2, // equal to 2 hour vs. 4 + + // Subsidy parameters. + BaseSubsidy: 12000000000, // 120 Coin , daily supply is 120*2*60*24 = 345600 ~ 345600 * 2 (DAG factor) + MulSubsidy: 100, + DivSubsidy: 10000000000000, // + SubsidyReductionInterval: math.MaxInt64, + WorkRewardProportion: 10, + StakeRewardProportion: 0, + BlockTaxProportion: 0, + + // Maturity + CoinbaseMaturity: 720, // coinbase required 720 * 30 = 6 hours before repent + + // Checkpoints ordered from oldest to newest. + Checkpoints: []Checkpoint{}, + + // Consensus rule change deployments. + // + // The miner confirmation window is defined as: + // target proof of work timespan / target proof of work spacing + RuleChangeActivationThreshold: 57, + MinerConfirmationWindow: mainWorkDiffWindowSize, + Deployments: []ConsensusDeployment{ + DeploymentTestDummy: { + BitNumber: 28, + }, + DeploymentToken: { + BitNumber: 0, + StartTime: 2880, + ExpireTime: 28800, + }, + }, + + // Address encoding magics + NetworkAddressPrefix: "T", + PubKeyAddrID: [2]byte{0x28, 0xf5}, // starts with Tk + PubKeyHashAddrID: [2]byte{0x0f, 0x14}, // starts with Tn (to distinguish 0.9.x testnet) + PKHEdwardsAddrID: [2]byte{0x0f, 0x01}, // starts with Te + PKHSchnorrAddrID: [2]byte{0x0f, 0x1e}, // starts with Tr + ScriptHashAddrID: [2]byte{0x0e, 0xe2}, // starts with TS + PrivateKeyID: [2]byte{0x23, 0x0b}, // starts with Pt + + // BIP32 hierarchical deterministic extended key magics + HDPrivateKeyID: [4]byte{0x04, 0x35, 0x83, 0x97}, // starts with tprv + HDPublicKeyID: [4]byte{0x04, 0x35, 0x87, 0xd1}, // starts with tpub + + // BIP44 coin type used in the hierarchical deterministic path for + // address generation. + HDCoinType: 223, + OrganizationPkScript: hexMustDecode("76a91429209320e66d96839785dd07e643a7f1592edc5a88ac"), + TokenAdminPkScript: hexMustDecode("00000000c96d6d76a914b8834294977b26a44094fe2216f8a7d59af1130888ac"), +}