diff --git a/crates/utils/src/constants.cairo b/crates/utils/src/constants.cairo index 78ce66bb..0b4b1c67 100644 --- a/crates/utils/src/constants.cairo +++ b/crates/utils/src/constants.cairo @@ -210,6 +210,267 @@ pub const POW_2: [ 0x80000000000000000000000000000000 ]; +pub const POW_2_256: [ + u256 + ; 256] = [ + 0x1, + 0x2, + 0x4, + 0x8, + 0x10, + 0x20, + 0x40, + 0x80, + 0x100, + 0x200, + 0x400, + 0x800, + 0x1000, + 0x2000, + 0x4000, + 0x8000, + 0x10000, + 0x20000, + 0x40000, + 0x80000, + 0x100000, + 0x200000, + 0x400000, + 0x800000, + 0x1000000, + 0x2000000, + 0x4000000, + 0x8000000, + 0x10000000, + 0x20000000, + 0x40000000, + 0x80000000, + 0x100000000, + 0x200000000, + 0x400000000, + 0x800000000, + 0x1000000000, + 0x2000000000, + 0x4000000000, + 0x8000000000, + 0x10000000000, + 0x20000000000, + 0x40000000000, + 0x80000000000, + 0x100000000000, + 0x200000000000, + 0x400000000000, + 0x800000000000, + 0x1000000000000, + 0x2000000000000, + 0x4000000000000, + 0x8000000000000, + 0x10000000000000, + 0x20000000000000, + 0x40000000000000, + 0x80000000000000, + 0x100000000000000, + 0x200000000000000, + 0x400000000000000, + 0x800000000000000, + 0x1000000000000000, + 0x2000000000000000, + 0x4000000000000000, + 0x8000000000000000, + 0x10000000000000000, + 0x20000000000000000, + 0x40000000000000000, + 0x80000000000000000, + 0x100000000000000000, + 0x200000000000000000, + 0x400000000000000000, + 0x800000000000000000, + 0x1000000000000000000, + 0x2000000000000000000, + 0x4000000000000000000, + 0x8000000000000000000, + 0x10000000000000000000, + 0x20000000000000000000, + 0x40000000000000000000, + 0x80000000000000000000, + 0x100000000000000000000, + 0x200000000000000000000, + 0x400000000000000000000, + 0x800000000000000000000, + 0x1000000000000000000000, + 0x2000000000000000000000, + 0x4000000000000000000000, + 0x8000000000000000000000, + 0x10000000000000000000000, + 0x20000000000000000000000, + 0x40000000000000000000000, + 0x80000000000000000000000, + 0x100000000000000000000000, + 0x200000000000000000000000, + 0x400000000000000000000000, + 0x800000000000000000000000, + 0x1000000000000000000000000, + 0x2000000000000000000000000, + 0x4000000000000000000000000, + 0x8000000000000000000000000, + 0x10000000000000000000000000, + 0x20000000000000000000000000, + 0x40000000000000000000000000, + 0x80000000000000000000000000, + 0x100000000000000000000000000, + 0x200000000000000000000000000, + 0x400000000000000000000000000, + 0x800000000000000000000000000, + 0x1000000000000000000000000000, + 0x2000000000000000000000000000, + 0x4000000000000000000000000000, + 0x8000000000000000000000000000, + 0x10000000000000000000000000000, + 0x20000000000000000000000000000, + 0x40000000000000000000000000000, + 0x80000000000000000000000000000, + 0x100000000000000000000000000000, + 0x200000000000000000000000000000, + 0x400000000000000000000000000000, + 0x800000000000000000000000000000, + 0x1000000000000000000000000000000, + 0x2000000000000000000000000000000, + 0x4000000000000000000000000000000, + 0x8000000000000000000000000000000, + 0x10000000000000000000000000000000, + 0x20000000000000000000000000000000, + 0x40000000000000000000000000000000, + 0x80000000000000000000000000000000, + 0x100000000000000000000000000000000, + 0x200000000000000000000000000000000, + 0x400000000000000000000000000000000, + 0x800000000000000000000000000000000, + 0x1000000000000000000000000000000000, + 0x2000000000000000000000000000000000, + 0x4000000000000000000000000000000000, + 0x8000000000000000000000000000000000, + 0x10000000000000000000000000000000000, + 0x20000000000000000000000000000000000, + 0x40000000000000000000000000000000000, + 0x80000000000000000000000000000000000, + 0x100000000000000000000000000000000000, + 0x200000000000000000000000000000000000, + 0x400000000000000000000000000000000000, + 0x800000000000000000000000000000000000, + 0x1000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000000000000000000, + 0x10000000000000000000000000000000000000000000000000000000000000, + 0x20000000000000000000000000000000000000000000000000000000000000, + 0x40000000000000000000000000000000000000000000000000000000000000, + 0x80000000000000000000000000000000000000000000000000000000000000, + 0x100000000000000000000000000000000000000000000000000000000000000, + 0x200000000000000000000000000000000000000000000000000000000000000, + 0x400000000000000000000000000000000000000000000000000000000000000, + 0x800000000000000000000000000000000000000000000000000000000000000, + 0x1000000000000000000000000000000000000000000000000000000000000000, + 0x2000000000000000000000000000000000000000000000000000000000000000, + 0x4000000000000000000000000000000000000000000000000000000000000000, + 0x8000000000000000000000000000000000000000000000000000000000000000, +]; + pub const POW_2_0: u128 = 0x1; pub const POW_2_8: u128 = 0x100; pub const POW_2_16: u128 = 0x10000; diff --git a/crates/utils/src/math.cairo b/crates/utils/src/math.cairo index e65b720e..fab2f7dd 100644 --- a/crates/utils/src/math.cairo +++ b/crates/utils/src/math.cairo @@ -2,6 +2,7 @@ use core::integer::{u512}; use core::num::traits::{Zero, One, BitSize, OverflowingAdd, OverflowingMul, Bounded}; use core::panic_with_felt252; use core::traits::{BitAnd}; +use utils::constants::POW_2_256; // === Exponentiation === @@ -236,6 +237,8 @@ impl BitshiftImpl< +PartialOrd, +BitSize, +TryInto, + +TryInto, + +TryInto, > of Bitshift { fn shl(self: T, shift: usize) -> T { // if we shift by more than nb_bits of T, the result is 0 @@ -313,8 +316,10 @@ pub impl WrappingBitshiftImpl< +WrappingExponentiation, +BitSize, +Bounded, - +Into, +TryInto, + +TryInto, + +TryInto, + +Into > of WrappingBitshift { fn wrapping_shl(self: T, shift: usize) -> T { if shift <= BitSize::::bits() - One::::one() { @@ -324,7 +329,7 @@ pub impl WrappingBitshiftImpl< return result; } let two = One::::one() + One::::one(); - let (result, _) = self.overflowing_mul(two.wrapping_pow(shift)); + let (result, _) = self.overflowing_mul(two.wrapping_pow(shift.try_into().unwrap())); result } @@ -339,7 +344,7 @@ pub impl WrappingBitshiftImpl< if shift > BitSize::::bits() - One::one() { return Zero::zero(); } - self / two.pow(shift) + self / two.pow(shift.try_into().unwrap()) } }