From 920464f82c39a783f5f201254648854fc3242576 Mon Sep 17 00:00:00 2001 From: Christian Ohle Date: Sat, 9 Jul 2022 11:57:10 +0200 Subject: [PATCH] MathR LCM, IDiv, IMod, DivRem, benchmarks --- System.Numerics.Rational/BigRational.cs | 32 +- System.Numerics.Rational/MathR.cs | 97 +++ Test/BenchmarksPage.Designer.cs | 11 +- Test/BenchmarksPage.cs | 82 +-- Test/BenchmarksPage.resx | 18 + Test/PolyhedronPage.Designer.cs | 44 +- Test/PolyhedronPage.resx | 40 +- Test/Program.cs | 78 +++ Test/math/MathR experimental.cs | 58 +- Test/templ/benchmarks2.htm | 2 +- .../System.Numerics.BigRational.-ctor.html | 21 +- ...System.Numerics.BigRational.CPU.-ctor.html | 21 +- .../System.Numerics.BigRational.CPU.abs.html | 21 +- .../System.Numerics.BigRational.CPU.add.html | 21 +- .../System.Numerics.BigRational.CPU.and.html | 21 +- .../System.Numerics.BigRational.CPU.atan.html | 21 +- .../System.Numerics.BigRational.CPU.bdi.html | 21 +- .../System.Numerics.BigRational.CPU.cmp.html | 21 +- .../System.Numerics.BigRational.CPU.cmpa.html | 21 +- .../System.Numerics.BigRational.CPU.cmpi.html | 21 +- .../System.Numerics.BigRational.CPU.div.html | 21 +- .../System.Numerics.BigRational.CPU.dup.html | 21 +- .../System.Numerics.BigRational.CPU.equ.html | 21 +- .../System.Numerics.BigRational.CPU.exp.html | 21 +- .../System.Numerics.BigRational.CPU.fac.html | 21 +- .../System.Numerics.BigRational.CPU.free.html | 21 +- .../System.Numerics.BigRational.CPU.gcd.html | 21 +- .../System.Numerics.BigRational.CPU.get.html | 21 +- .../System.Numerics.BigRational.CPU.hash.html | 21 +- docs/api/System.Numerics.BigRational.CPU.html | 39 +- .../System.Numerics.BigRational.CPU.inv.html | 21 +- .../System.Numerics.BigRational.CPU.isi.html | 21 +- .../System.Numerics.BigRational.CPU.lim.html | 21 +- .../System.Numerics.BigRational.CPU.log.html | 21 +- .../System.Numerics.BigRational.CPU.log2.html | 21 +- .../System.Numerics.BigRational.CPU.lsb.html | 21 +- .../System.Numerics.BigRational.CPU.mark.html | 21 +- .../System.Numerics.BigRational.CPU.mod.html | 21 +- .../System.Numerics.BigRational.CPU.msb.html | 21 +- .../System.Numerics.BigRational.CPU.mul.html | 21 +- .../System.Numerics.BigRational.CPU.neg.html | 21 +- .../System.Numerics.BigRational.CPU.norm.html | 21 +- .../System.Numerics.BigRational.CPU.or.html | 21 +- .../System.Numerics.BigRational.CPU.pi.html | 21 +- .../System.Numerics.BigRational.CPU.pop.html | 21 +- .../System.Numerics.BigRational.CPU.popd.html | 21 +- .../System.Numerics.BigRational.CPU.popi.html | 21 +- .../System.Numerics.BigRational.CPU.popr.html | 21 +- .../System.Numerics.BigRational.CPU.pow.html | 21 +- .../System.Numerics.BigRational.CPU.push.html | 21 +- .../System.Numerics.BigRational.CPU.rnd.html | 21 +- .../System.Numerics.BigRational.CPU.shl.html | 21 +- .../System.Numerics.BigRational.CPU.shr.html | 21 +- .../System.Numerics.BigRational.CPU.sign.html | 21 +- .../System.Numerics.BigRational.CPU.sin.html | 21 +- .../System.Numerics.BigRational.CPU.sqr.html | 21 +- .../System.Numerics.BigRational.CPU.sqrt.html | 21 +- .../System.Numerics.BigRational.CPU.sub.html | 21 +- .../System.Numerics.BigRational.CPU.swp.html | 21 +- .../System.Numerics.BigRational.CPU.tor.html | 21 +- .../System.Numerics.BigRational.CPU.tos.html | 21 +- .../System.Numerics.BigRational.CPU.xor.html | 21 +- ...System.Numerics.BigRational.CompareTo.html | 21 +- .../System.Numerics.BigRational.Equals.html | 21 +- ...stem.Numerics.BigRational.GetHashCode.html | 21 +- .../System.Numerics.BigRational.IsInt.html | 21 +- .../System.Numerics.BigRational.IsNan.html | 21 +- .../System.Numerics.BigRational.Parse.html | 21 +- ...em.Numerics.BigRational.ReadFromBytes.html | 21 +- .../api/System.Numerics.BigRational.Sign.html | 21 +- .../System.Numerics.BigRational.ToString.html | 21 +- ...System.Numerics.BigRational.TryFormat.html | 21 +- ...tem.Numerics.BigRational.WriteToBytes.html | 21 +- docs/api/System.Numerics.BigRational.html | 21 +- ...stem.Numerics.BigRational.op_Addition.html | 21 +- ...stem.Numerics.BigRational.op_Division.html | 21 +- ...stem.Numerics.BigRational.op_Equality.html | 21 +- ...stem.Numerics.BigRational.op_Explicit.html | 21 +- ...m.Numerics.BigRational.op_GreaterThan.html | 21 +- ...ics.BigRational.op_GreaterThanOrEqual.html | 21 +- ...stem.Numerics.BigRational.op_Implicit.html | 21 +- ...em.Numerics.BigRational.op_Inequality.html | 21 +- ...stem.Numerics.BigRational.op_LessThan.html | 21 +- ...merics.BigRational.op_LessThanOrEqual.html | 21 +- ...ystem.Numerics.BigRational.op_Modulus.html | 21 +- ...stem.Numerics.BigRational.op_Multiply.html | 21 +- ...m.Numerics.BigRational.op_Subtraction.html | 21 +- ...Numerics.BigRational.op_UnaryNegation.html | 21 +- ...tem.Numerics.BigRational.op_UnaryPlus.html | 21 +- .../System.Numerics.BigRational.task_cpu.html | 25 +- docs/api/System.Numerics.MathR.Abs.html | 21 +- docs/api/System.Numerics.MathR.Acos.html | 21 +- docs/api/System.Numerics.MathR.Asin.html | 21 +- docs/api/System.Numerics.MathR.Atan.html | 21 +- docs/api/System.Numerics.MathR.Atan2.html | 21 +- docs/api/System.Numerics.MathR.Ceiling.html | 21 +- docs/api/System.Numerics.MathR.Cos.html | 21 +- .../System.Numerics.MathR.DefaultDigits.html | 25 +- docs/api/System.Numerics.MathR.DivRem.html | 626 ++++++++++++++++++ docs/api/System.Numerics.MathR.Exp.html | 21 +- docs/api/System.Numerics.MathR.Factorial.html | 21 +- docs/api/System.Numerics.MathR.Floor.html | 21 +- ....Numerics.MathR.GreatestCommonDivisor.html | 547 +++++++++++++++ docs/api/System.Numerics.MathR.IDiv.html | 564 ++++++++++++++++ docs/api/System.Numerics.MathR.ILog10.html | 21 +- docs/api/System.Numerics.MathR.IMod.html | 564 ++++++++++++++++ ...em.Numerics.MathR.LeastCommonMultiple.html | 547 +++++++++++++++ docs/api/System.Numerics.MathR.Log.html | 21 +- docs/api/System.Numerics.MathR.Log10.html | 21 +- docs/api/System.Numerics.MathR.Log2.html | 21 +- docs/api/System.Numerics.MathR.Max.html | 21 +- docs/api/System.Numerics.MathR.Min.html | 21 +- docs/api/System.Numerics.MathR.Pi.html | 21 +- docs/api/System.Numerics.MathR.Pow.html | 21 +- docs/api/System.Numerics.MathR.Pow2.html | 21 +- docs/api/System.Numerics.MathR.Round.html | 21 +- docs/api/System.Numerics.MathR.Sin.html | 21 +- docs/api/System.Numerics.MathR.Sqrt.html | 21 +- docs/api/System.Numerics.MathR.Tan.html | 21 +- docs/api/System.Numerics.MathR.Tau.html | 21 +- docs/api/System.Numerics.MathR.Truncate.html | 21 +- docs/api/System.Numerics.MathR.html | 63 +- docs/api/System.Numerics.html | 21 +- docs/images/benchmarks1.png | Bin 0 -> 165318 bytes docs/manifest.json | 573 ++++++++-------- docs/xrefmap.yml | 93 ++- readme.md | 14 +- 127 files changed, 5223 insertions(+), 1103 deletions(-) create mode 100644 docs/api/System.Numerics.MathR.DivRem.html create mode 100644 docs/api/System.Numerics.MathR.GreatestCommonDivisor.html create mode 100644 docs/api/System.Numerics.MathR.IDiv.html create mode 100644 docs/api/System.Numerics.MathR.IMod.html create mode 100644 docs/api/System.Numerics.MathR.LeastCommonMultiple.html create mode 100644 docs/images/benchmarks1.png diff --git a/System.Numerics.Rational/BigRational.cs b/System.Numerics.Rational/BigRational.cs index e43ec1a9..c49bc907 100644 --- a/System.Numerics.Rational/BigRational.cs +++ b/System.Numerics.Rational/BigRational.cs @@ -1008,7 +1008,7 @@ public sealed partial class CPU /// The initial stack capacity that must be greater than 0 (zero). public CPU(uint capacity = 32) { - p = new uint[capacity][]; Debug.Assert(capacity > 0); + p = new uint[capacity][]; } /// /// Returns a temporary absolute index of the current stack top @@ -2647,6 +2647,8 @@ public void free() { cpu = null; } + +#if false //todo: remove, div(a, b); mod(); swp(); pop(); must!!! have the same performance /// /// Performs an integer division of the numerators of the first two values on top of the stack
/// and replaces them with the integral result. @@ -2690,6 +2692,7 @@ public void imod() } pop(); } +#endif uint[] rent(uint n) { @@ -2812,11 +2815,20 @@ static void mul(uint* a, uint* b, uint* r) uint f = b[1]; if (nb == 1) { - if (f == 0) { *(ulong*)r = 1; return; } - if (f == 1) { r[0] = na; for (uint i = 1; i <= na; i++) r[i] = a[i]; return; } + switch (f) //jump table + { + case 0: *(ulong*)r = 1; return; + case 1: copy(r, a, na + 1); r[0] = na; return; + //case 2: //todo: opt. shl(1) + //case 3: //todo: opt. + + + //case 4: //todo: opt. shl(2) + //... + } + //if (f == 0) { *(ulong*)r = 1; return; } + //if (f == 1) { copy(r, a, na + 1); r[0] = na; /* r[0] = na; for (uint i = 1; i <= na; i++) r[i] = a[i]; */ return; } } - //if (na == 1) *(ulong*)(r + 1) = (ulong)a[1] * b[1]; - //else + if (na == 1) *(ulong*)(r + 1) = (ulong)a[1] * b[1]; //todo: jt + else if (na == 2 && Bmi2.X64.IsSupported) { *(ulong*)(r + 3) = Bmi2.X64.MultiplyNoFlags(*(ulong*)(a + 1), nb == 2 ? *(ulong*)(b + 1) : b[1], (ulong*)(r + 1)); @@ -2824,7 +2836,7 @@ static void mul(uint* a, uint* b, uint* r) else if (na >= 0020) //nb <= na { var n = na + nb; for (uint i = 1; i <= n; i++) r[i] = 0; //todo: remove, kmu opt will make it needles - kmu(a + 1, na, b + 1, nb, r + 1, n); //r[0] = n; while (r[r[0]] == 0) r[0]--; return; + kmu(a + 1, na, b + 1, nb, r + 1, n); } else { @@ -2849,7 +2861,7 @@ static void mul(uint* a, uint* b, uint* r) } if (r[r[0] = na + nb] == 0 && r[0] > 1) { r[0]--; Debug.Assert(!(r[r[0]] == 0 && r[0] > 1)); } } - static void sqr(uint* a, uint* r) + static void sqr(uint* a, uint* r) //todo: opt kmu for sqr { uint n = *a++ & 0x3fffffff; var v = r + 1; if (n == 1) @@ -3001,8 +3013,8 @@ internal static void shr(uint* p, int c) } static uint* gcd(uint* u, uint* v) { - //var su = clz(u); if (su != 0) shr(u, su); - //var sv = clz(v); if (sv != 0) shr(v, sv); if (su > sv) su = sv; + var su = clz(u); if (su != 0) shr(u, su); + var sv = clz(v); if (sv != 0) shr(v, sv); if (su > sv) su = sv; if (cms(u, v) < 0) { var t = u; u = v; v = t; } while (v[0] > 2) { @@ -3060,7 +3072,7 @@ internal static void shr(uint* p, int c) while (y != 0) { var t = unchecked((uint)x) % unchecked((uint)y); x = y; y = t; } *(ulong*)(u + 1) = x; u[0] = u[2] != 0 ? 2u : 1u; m1:; } - //if (su != 0) shl(u, su); + if (su != 0) shl(u, su); return u; } static int clz(uint* p) diff --git a/System.Numerics.Rational/MathR.cs b/System.Numerics.Rational/MathR.cs index b16be1c2..1d034e2e 100644 --- a/System.Numerics.Rational/MathR.cs +++ b/System.Numerics.Rational/MathR.cs @@ -493,6 +493,103 @@ public static BigRational Atan2(BigRational y, BigRational x, int digits = 0) return default(BigRational) / 0; //NaN } /// + /// Finds the greatest common divisor (GCD) of two integer values. + /// + /// + /// This operation makes only sense for integer values. + /// + /// The first value. + /// The second value. + /// The greatest common divisor of and . + public static BigRational GreatestCommonDivisor(BigRational a, BigRational b) + { + var cpu = BigRational.task_cpu; cpu.push(a); cpu.push(b); + cpu.gcd(); //cpu.pop(); return default; + return cpu.popr(); + } + /// + /// Finds the least common multiple (LCM) of two integer values. + /// + /// + /// This operation makes only sense for integer values. + /// + /// The first value. + /// The second value. + /// The least common multiple of and . + public static BigRational LeastCommonMultiple(BigRational a, BigRational b) + { + //|a * b| / gcd(a, b) == |a / gcd(a, b) * b| + var cpu = BigRational.task_cpu; cpu.push(a); cpu.push(b); + cpu.dup(); cpu.dup(2); cpu.gcd(); cpu.div(); cpu.mul(); cpu.abs(); + return cpu.popr(); + } + /// + /// Performes an integer division / + /// + /// + /// For integer values and , the result equals a division.
+ /// This in contrast to / , where a corresponding fraction results. + /// + /// The value to be divided. (dividend) + /// The value to divide by. (devisor) + /// A integer value. + /// : is zero. + public static BigRational IDiv(BigRational a, BigRational b) + { + if (BigRational.Sign(b) == 0) throw new DivideByZeroException(nameof(b)); // b.p == null + var cpu = rat.task_cpu; //cpu.push(a); cpu.push(b); cpu.idiv(); return cpu.popr(); + cpu.div(a, b); cpu.mod(); cpu.swp(); cpu.pop(); + return cpu.popr(); + } + /// + /// Performes an integer modulo operation % what is the remainder that results from a division. + /// + /// The value to be divided. (dividend) + /// The value to divide by. (divisor) + /// + /// For integer values and , the result equals a modulo (%) operation.
+ /// This in contrast to % , where for a corresponding fraction results. + /// + /// A integer value. + /// : is zero. + public static BigRational IMod(BigRational a, BigRational b) + { + if (BigRational.Sign(b) == 0) throw new DivideByZeroException(nameof(b)); // b.p == null + var cpu = rat.task_cpu; //cpu.push(a); cpu.push(b); cpu.imod(); var c = cpu.popr(); return c; + cpu.div(b, b); cpu.mod(); cpu.pop(); + return cpu.popr(); + } + /// + /// Calculates the quotient of two signed values and also returns the remainder in an output parameter. + /// + /// + /// This function is for compatibility to like functions.
+ /// For integer values and , the result equals a operation..
+ /// + /// The dividend. + /// The divisor. + /// The remainder. + /// The quotient of the specified numbers. + /// : is zero. + public static BigRational DivRem(BigRational a, BigRational b, out BigRational r) + { + if (BigRational.Sign(b) == 0) throw new DivideByZeroException(nameof(b)); // b.p == null + var cpu = rat.task_cpu; cpu.div(b, b); cpu.mod(); + r = cpu.popr(); return cpu.popr(); + } + /// + /// Produces the quotient and the remainder of two signed numbers. + /// + /// This function is for compatibility to like functions.
+ /// For integer values and , the result equals a operation..
+ /// The dividend. + /// The divisor. + /// The quotient and the remainder of the specified numbers as integer values. + public static (BigRational Quotient, BigRational Remainder) DivRem(BigRational a, BigRational b) + { + var d = DivRem(a, b, out var r); return (d, r); + } + /// /// Gets or sets the default number of digits used by functions /// with an optional digits parameter with default value = 0.
/// This allows for a flat interface, easily interchangeable with or . diff --git a/Test/BenchmarksPage.Designer.cs b/Test/BenchmarksPage.Designer.cs index 7372a4b9..147056bf 100644 --- a/Test/BenchmarksPage.Designer.cs +++ b/Test/BenchmarksPage.Designer.cs @@ -40,8 +40,7 @@ private void InitializeComponent() // // button_add // - button_add.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right))); - button_add.Location = new System.Drawing.Point(878, 58); + button_add.Location = new System.Drawing.Point(202, 11); button_add.Name = "button_add"; button_add.Size = new System.Drawing.Size(94, 29); button_add.TabIndex = 3; @@ -83,7 +82,7 @@ private void InitializeComponent() // textBox1 // this.textBox1.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right))); - this.textBox1.Location = new System.Drawing.Point(878, 93); + this.textBox1.Location = new System.Drawing.Point(878, 58); this.textBox1.Name = "textBox1"; this.textBox1.Size = new System.Drawing.Size(94, 27); this.textBox1.TabIndex = 7; @@ -92,13 +91,15 @@ private void InitializeComponent() // // labelDebug // + this.labelDebug.Anchor = ((System.Windows.Forms.AnchorStyles)(((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Left) + | System.Windows.Forms.AnchorStyles.Right))); this.labelDebug.BackColor = System.Drawing.Color.FromArgb(((int)(((byte)(255)))), ((int)(((byte)(255)))), ((int)(((byte)(220))))); this.labelDebug.FlatStyle = System.Windows.Forms.FlatStyle.Flat; this.labelDebug.ForeColor = System.Drawing.SystemColors.InfoText; - this.labelDebug.Location = new System.Drawing.Point(207, 15); + this.labelDebug.Location = new System.Drawing.Point(323, 11); this.labelDebug.Name = "labelDebug"; this.labelDebug.Padding = new System.Windows.Forms.Padding(4, 0, 0, 0); - this.labelDebug.Size = new System.Drawing.Size(178, 24); + this.labelDebug.Size = new System.Drawing.Size(549, 29); this.labelDebug.TabIndex = 9; this.labelDebug.Text = "Under construction"; this.labelDebug.TextAlign = System.Drawing.ContentAlignment.MiddleCenter; diff --git a/Test/BenchmarksPage.cs b/Test/BenchmarksPage.cs index 56d763c7..7f2d8f7a 100644 --- a/Test/BenchmarksPage.cs +++ b/Test/BenchmarksPage.cs @@ -47,7 +47,7 @@ void textBox1_Leave(object sender, EventArgs e) void wb_DocumentCompleted(object? sender, WebBrowserDocumentCompletedEventArgs? e) { var doc = wb.Document; var body = doc.Body; - var a = typeof(BigRational).Assembly; var name = a.GetName(); + var a = typeof(BigRational).Assembly; var name = a.GetName(); var t1 = a.GetCustomAttributes(typeof(System.Runtime.Versioning.TargetFrameworkAttribute), false).FirstOrDefault() as System.Runtime.Versioning.TargetFrameworkAttribute; doc.GetElementById("1").InnerText = name.Version.ToString(); doc.GetElementById("2").InnerText = a.ImageRuntimeVersion + " " + t1?.FrameworkName; @@ -56,7 +56,7 @@ void wb_DocumentCompleted(object? sender, WebBrowserDocumentCompletedEventArgs? esvg = XElement.Parse(doc.GetElementById("svg").InnerHtml); } - (float[] times, int count)[]? passes; + (float[] times, int count)[]? passes; float lastav; void runtest(HtmlElement svg, Action> test, int ex) { @@ -78,21 +78,25 @@ void runtest(HtmlElement svg, Action> test, int ex) }); } test(8, () => true); + + if (ex == 0x00003fbf && (lastav = lastav * 0.01f) < 1) //to get realist times for cpu internal bigint div it makes sense to sub the av from mul as IDiv changed for comapibillity and has an additional mul + for (int i = 1; i < 256; i++) passes[0].times[i] *= lastav; + update_svg(svg, ex); var a1 = passes[0].times.Take(255);//.Average(); var a2 = passes[1].times.Take(255);//.Average(); - var av = MathF.Round(a1.Average() * 100 / a2.Average()).ToString(); + var av = MathF.Round(a1.Average() * 100 / a2.Average()); this.lastav = av; var mi = Math.Min(a1.Max(), a2.Max()); var ma = Math.Max(a1.Max(), a2.Max()); var info = svg.NextSibling; var s = info.InnerHtml; - var x = s.LastIndexOf(':'); if (x > 0) s = s.Substring(0, x+1); - s += $" {av} % (min {mi} ms; max {ma} ms)"; + var x = s.LastIndexOf(':'); if (x > 0) s = s.Substring(0, x + 1); + s += $" {av} % (min {mi} ms; max {ma} ms)"; info.InnerHtml = s; s = svg.Parent.Style; - if(s.Contains("none")) svg.Parent.Style = s.Replace("none","block");// "display: block; margin-left: 16px"; + if (s.Contains("none")) svg.Parent.Style = s.Replace("none", "block"); // "display: block; margin-left: 16px"; } void button_run_Click(object sender, EventArgs e) @@ -158,39 +162,19 @@ void update_svg(HtmlElement? psvg, int ex) psvg.InnerHtml = esvg.ToString(); } - static Action> _test_gcd(out int e) - { - var rr = new BigRational[256]; var ii = new BigInteger[256]; - var cr = new BigRational[256]; var ci = new BigInteger[256]; - var ra = new Random(13); //E+2040 - for (int i = 0; i < 256; i++) ii[i] = (BigInteger)(rr[i] = random_rat(ra, i << 3)); - e = MathR.ILog10(rr[255]); return test; - void test(int pass, Func f) - { - if (pass == 0) - for (int i = 1; f() && i < 256; i++) - cr[i] = MathRE.GreatestCommonDivisor(rr[i - 1], rr[i]); - - if (pass == 1) - for (int i = 1; f() && i < 256; i++) - ci[i] = BigInteger.GreatestCommonDivisor(ii[i - 1], ii[i]); - - if (pass == 8) Debug.Assert(cr.Zip(ci).All(p => p.First == p.Second)); - } - } static Action> _test_mul(out int e) { var rr = new BigRational[256]; var ii = new BigInteger[256]; var cr = new BigRational[256]; var ci = new BigInteger[256]; - var ra = new Random(13); //E+4080 - for (int i = 0; i < 256; i++) ii[i] = (BigInteger)(rr[i] = random_rat(ra, i << 4));//<< 3 - e = MathR.ILog10(rr[255]); return test; - void test(int pass, Func f) + var ra = new Random(13); + for (int i = 0; i < 256; i++) ii[i] = (BigInteger)(rr[i] = random_rat(ra, i << 4)); //E+4080 + e = MathR.ILog10(rr[255]); + return (pass, f) => { if (pass == 0) for (int i = 1; f() && i < 256; i++) cr[i] = rr[i - 1] * rr[i]; if (pass == 1) for (int i = 1; f() && i < 256; i++) ci[i] = ii[i - 1] * ii[i]; if (pass == 8) Debug.Assert(cr.Zip(ci).All(p => p.First == p.Second)); - } + }; } static Action> _test_div(out int e) { @@ -199,29 +183,29 @@ static Action> _test_div(out int e) var ra = new Random(13); for (int i = 0; i < 256; i++) ii[i] = (BigInteger)(rr[i] = random_rat(ra, i << 6)); e = MathR.ILog10(rr[255]); - return (pass, f) => //void test(int pass, Func f) + return (pass, f) => { - //var cpu = rat.task_cpu; - if (pass == 0) for (int i = 1; f() && i < 256; i++) cr[i] = MathRE.IntegerDivide(rr[i], rr[i - 1]); + if (pass == 0) for (int i = 1; f() && i < 256; i++) cr[i] = MathR.IDiv(rr[i], rr[i - 1]); if (pass == 1) for (int i = 1; f() && i < 256; i++) ci[i] = ii[i] / ii[i - 1]; if (pass == 8) Debug.Assert(cr.Zip(ci).All(p => p.First == p.Second)); }; } - //static BigRational intdiv(BigRational a, BigRational b) - //{ - // var cpu = rat.task_cpu; - // cpu.push(a); cpu.push(b); cpu.idiv(); - // var c = cpu.popr(); return c; - //} - //static BigRational intdiv(rat.CPU cpu, BigRational a, BigRational b) - //{ - // //cpu.push(a); cpu.push(b); cpu.idiv(); - // cpu.push(a); cpu.idiv(b); - // //var c = cpu.popr(); return c; - // cpu.pop(); return default; - //} - - static BigRational random_rat(Random rnd, int digits) + static Action> _test_gcd(out int e) + { + var rr = new BigRational[256]; var ii = new BigInteger[256]; + var cr = new BigRational[256]; var ci = new BigInteger[256]; + var ra = new Random(13); //E+2040 + for (int i = 0; i < 256; i++) ii[i] = (BigInteger)(rr[i] = random_rat(ra, i << 3)); + e = MathR.ILog10(rr[255]); + return (pass, f) => + { + if (pass == 0) for (int i = 1; f() && i < 256; i++) cr[i] = MathR.GreatestCommonDivisor(rr[i - 1], rr[i]); + if (pass == 1) for (int i = 1; f() && i < 256; i++) ci[i] = BigInteger.GreatestCommonDivisor(ii[i - 1], ii[i]); + if (pass == 8) Debug.Assert(cr.Zip(ci).All(p => p.First == p.Second)); + }; + } + + static BigRational random_rat(Random rnd, int digits) //todo: make more precise { var cpu = rat.task_cpu; cpu.pow(10, digits); diff --git a/Test/BenchmarksPage.resx b/Test/BenchmarksPage.resx index d37689a7..44b8cff3 100644 --- a/Test/BenchmarksPage.resx +++ b/Test/BenchmarksPage.resx @@ -60,10 +60,28 @@ False + + True + False + + True + True + + True + + + True + + + True + + + True + \ No newline at end of file diff --git a/Test/PolyhedronPage.Designer.cs b/Test/PolyhedronPage.Designer.cs index 2e12fa28..7eea5c37 100644 --- a/Test/PolyhedronPage.Designer.cs +++ b/Test/PolyhedronPage.Designer.cs @@ -60,9 +60,9 @@ private void InitializeComponent() System.Windows.Forms.ToolStripSeparator _5; Test.MenuItem _groupcsg; Test.MenuItem _center2; - System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(PolyhedronPage)); System.Windows.Forms.Button button1; System.Windows.Forms.Button button2; + System.ComponentModel.ComponentResourceManager resources = new System.ComponentModel.ComponentResourceManager(typeof(PolyhedronPage)); this.label1 = new System.Windows.Forms.Label(); this.contextMenuView = new Test.ContextMenu(this.components); this._3 = new System.Windows.Forms.ToolStripSeparator(); @@ -378,6 +378,28 @@ private void InitializeComponent() _center2.Size = new System.Drawing.Size(231, 24); _center2.Text = "Center"; // + // button1 + // + button1.Enabled = false; + button1.Location = new System.Drawing.Point(444, 12); + button1.Name = "button1"; + button1.Size = new System.Drawing.Size(94, 29); + button1.TabIndex = 2; + button1.Text = "Skeleton"; + button1.UseVisualStyleBackColor = true; + button1.Click += new System.EventHandler(this.btn_run_Click); + // + // button2 + // + button2.Enabled = false; + button2.Location = new System.Drawing.Point(544, 12); + button2.Name = "button2"; + button2.Size = new System.Drawing.Size(94, 29); + button2.TabIndex = 2; + button2.Text = "BSP Tests"; + button2.UseVisualStyleBackColor = true; + button2.Click += new System.EventHandler(this.btn_run_Click); + // // label1 // this.label1.AutoSize = true; @@ -621,26 +643,6 @@ private void InitializeComponent() this.toolStripButton2.Text = "⚒"; this.toolStripButton2.Visible = false; // - // button1 - // - button1.Location = new System.Drawing.Point(444, 12); - button1.Name = "button1"; - button1.Size = new System.Drawing.Size(94, 29); - button1.TabIndex = 2; - button1.Text = "Skeleton"; - button1.UseVisualStyleBackColor = true; - button1.Click += new System.EventHandler(this.btn_run_Click); - // - // button2 - // - button2.Location = new System.Drawing.Point(544, 12); - button2.Name = "button2"; - button2.Size = new System.Drawing.Size(94, 29); - button2.TabIndex = 2; - button2.Text = "BSP Tests"; - button2.UseVisualStyleBackColor = true; - button2.Click += new System.EventHandler(this.btn_run_Click); - // // PolyhedronPage // this.AutoScaleMode = System.Windows.Forms.AutoScaleMode.Inherit; diff --git a/Test/PolyhedronPage.resx b/Test/PolyhedronPage.resx index cacafa85..527659b4 100644 --- a/Test/PolyhedronPage.resx +++ b/Test/PolyhedronPage.resx @@ -111,6 +111,9 @@ False + + True + False @@ -150,15 +153,45 @@ False + + False + + + True + + + False + + + True + + + True + 41, 25 + + True + + + True + 229, 21 + + True + + + True + 457, 21 + + True + @@ -171,10 +204,7 @@ qgAAAABJRU5ErkJggg== - - False - - - False + + True \ No newline at end of file diff --git a/Test/Program.cs b/Test/Program.cs index 96fb9495..f22075a7 100644 --- a/Test/Program.cs +++ b/Test/Program.cs @@ -16,6 +16,84 @@ static void Main() } #if false + private static AsyncLocal? _async_cpu; + public static rat.CPU async_cpu + { + get + { + var p = _async_cpu ??= new AsyncLocal(); + return p.Value ?? (p.Value = new rat.CPU()); + } + } + static void test() + { + rat a, b, c, d; + d = 100 / 13; + b = MathR.IDiv(+100, +13); + d = -100 / +13; + b = MathR.IDiv(-100, +13); + d = -100 / -13; + b = MathR.IDiv(-100, -13); + d = +100 / -13; + b = MathR.IDiv(+100, -13); + + //var apu = async_cpu; + // + //var t1 = Environment.TickCount; + //for (int i = 0; i < 10_000_000; i++) { var t = rat.task_cpu; } + //var t2 = Environment.TickCount; // t2 - t1 -> 78 ms + //for (int i = 0; i < 10_000_000; i++) { var t = async_cpu; } + //var t3 = Environment.TickCount; // t3 - t2 -> 156 ms + } + static void test1() + { + var cpu = rat.task_cpu; + + var a = new BigRational[1000]; + Parallel.For(0, 1000, i => a[i] = MathR.Sin(i * 0.123m, digits: 100)); + + var b = new BigRational[1000]; + Parallel.For(0, 1000, i => + { + var cpu = rat.task_cpu; + cpu.push(i); + cpu.push(0.123m); + cpu.mul(); + cpu.sin(80, cos: false); //80: ILog10(digits); + cpu.rnd(24); //digits + b[i] = cpu.popr(); + }); + + var mycpu = new BigRational.CPU(); + var task = Task.Run(() => + { + mycpu.push(1); + mycpu.push(2); + mycpu.push(3); + }); + task.Wait(); + var x = mycpu.popr(); + var y = mycpu.popr(); + var z = mycpu.popr(); + + mycpu.get(0, out ReadOnlySpan sp); + cpu.push(sp); + var d = cpu.popd(); + + static IEnumerable getpows10forever() + { + var mycpu = new rat.CPU(); + mycpu.push(1); + for (int i = 0; ; i++) + { + if (i != 0) { mycpu.push(10); mycpu.mul(); } + mycpu.get(0, out rat r); yield return r; + } + } + var c = getpows10forever().Take(100).ToArray(); + + } + static void test() { VectorR a, b, c; string s; rat x, y; diff --git a/Test/math/MathR experimental.cs b/Test/math/MathR experimental.cs index 3a09f9a5..a0da4e65 100644 --- a/Test/math/MathR experimental.cs +++ b/Test/math/MathR experimental.cs @@ -61,8 +61,8 @@ public static BigRational Pi(int digits) cpu.push(-4); /**/ cpu.push(b + 5); cpu.div(); cpu.add(); //cpu.norm(); cpu.push(-4); /**/ cpu.push(b + 7); cpu.div(); cpu.add(); //cpu.norm(); cpu.push(1u); /**/ cpu.push(b + 9); cpu.div(); cpu.add(); //cpu.norm(); - cpu.mul(); cpu.add(); - if ((n & 0x3) == 0x3) + cpu.mul(); cpu.add(); + if ((n & 0x3) == 0x3) cpu.norm(); } cpu.push(64); cpu.div(); cpu.rnd(digits); @@ -111,60 +111,10 @@ public static BigRational ParseContinuedFraction(ReadOnlySpan s) var d = x != -1 ? s.Slice(x + 1).Trim() : s; s = s.Slice(0, x != -1 ? x : 0); if (cpu.sign() != 0) cpu.inv(); //or tor: cpu.push(0); for (int i = 0; i < d.Length; i++) { cpu.push(10u); cpu.mul(); cpu.push(d[i] - '0'); cpu.add(); } - cpu.tor(d); cpu.add(); + cpu.tor(d); cpu.add(); } return cpu.popr(); } - /// - /// Finds the greatest common divisor (GCD) of two integer values. - /// - /// - /// This operation makes only sense for integer values. - /// - /// The first value. - /// The second value. - /// The greatest common divisor of and . - public static BigRational GreatestCommonDivisor(BigRational a, BigRational b) - { - var cpu = BigRational.task_cpu; cpu.push(a); cpu.push(b); - cpu.gcd(); //cpu.pop(); return default; - return cpu.popr(); - } - /// - /// Finds the least common multiple (LCM) of two integer values. - /// - /// - /// This operation makes only sense for integer values. - /// - /// The first value. - /// The second value. - /// The least common multiple of and . - public static BigRational LeastCommonMultiple(BigRational a, BigRational b) - { - //|a * b| / gcd(a, b) == |a / gcd(a, b) * b| - var cpu = BigRational.task_cpu; cpu.push(a); cpu.push(b); - cpu.dup(); cpu.dup(2); cpu.gcd(); cpu.div(); cpu.mul(); cpu.abs(); - return cpu.popr(); - } - /// - /// Performes an integer division a / b; - /// - public static BigRational IntegerDivide(BigRational a, BigRational b) - { - if (BigRational.Sign(b) == 0) throw new DivideByZeroException(nameof(b)); // b.p == null - var cpu = rat.task_cpu; - cpu.push(a); cpu.push(b); cpu.idiv(); - var c = cpu.popr(); return c; - } - /// - /// Performes an integer modula a % b; - /// - public static BigRational IntegerModula(BigRational a, BigRational b) - { - if (BigRational.Sign(b) == 0) throw new DivideByZeroException(nameof(b)); // b.p == null - var cpu = rat.task_cpu; - cpu.push(a); cpu.push(b); cpu.imod(); - var c = cpu.popr(); return c; - } + } } diff --git a/Test/templ/benchmarks2.htm b/Test/templ/benchmarks2.htm index 0a6316fa..96d85b66 100644 --- a/Test/templ/benchmarks2.htm +++ b/Test/templ/benchmarks2.htm @@ -74,7 +74,7 @@
-
Simple integer integer division in comparison to BigInteger
+
Simple integer division in comparison to BigInteger

BigRational (blue); BigInteger (red); Average Ratio:

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    • @@ -774,22 +783,6 @@

    Methods hash(UInt32)

    Calculates a hash value for the value at b as absolute index in the stack.

    - - - - - idiv() - -

    Performs an integer division of the numerators of the first two values on top of the stack
    -and replaces them with the integral result.

    - - - - - imod() - -

    Performs an integer division of the numerators of the first two values on top of the stack
    -and replaces them with the integral result.

    @@ -1259,7 +1252,7 @@

    Methods Improve this Doc
  • - View Source + View Source

    • diff --git a/docs/api/System.Numerics.BigRational.CPU.inv.html b/docs/api/System.Numerics.BigRational.CPU.inv.html index 36e9a411..f9aa46d1 100644 --- a/docs/api/System.Numerics.BigRational.CPU.inv.html +++ b/docs/api/System.Numerics.BigRational.CPU.inv.html @@ -232,12 +232,6 @@
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    Remarks
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    • diff --git a/docs/api/System.Numerics.MathR.DivRem.html b/docs/api/System.Numerics.MathR.DivRem.html new file mode 100644 index 00000000..4d6c1b27 --- /dev/null +++ b/docs/api/System.Numerics.MathR.DivRem.html @@ -0,0 +1,626 @@ + + + + + + + + Method DivRem + + + + + + + + + + + + + + + + +
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    Method DivRem +

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    DivRem(BigRational, BigRational, out BigRational)

    +

    Calculates the quotient of two BigRational signed values and also returns the remainder in an output parameter.

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    Declaration
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    public static BigRational DivRem(BigRational a, BigRational b, out BigRational r)
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    Parameters
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    TypeNameDescription
    BigRationala

    The dividend.

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    BigRationalb

    The divisor.

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    BigRationalr

    The remainder.

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    Returns
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    TypeDescription
    BigRational

    The quotient of the specified numbers.

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    Remarks
    +

    This function is for compatibility to System.Math.DivRem(System.Int32,System.Int32,System.Int32@) like functions.
    +For integer values a and b, the result equals a System.Numerics.BigInteger.DivRem(System.Numerics.BigInteger,System.Numerics.BigInteger,System.Numerics.BigInteger@) operation..

    +
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    Exceptions
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    TypeCondition
    System.DivideByZeroException

    System.DivideByZeroException: b is zero.

    +
    + + | + Improve this Doc + + + View Source + + +

    DivRem(BigRational, BigRational)

    +

    Produces the quotient and the remainder of two signed BigRational numbers.

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    Declaration
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    public static (BigRational Quotient, BigRational Remainder) DivRem(BigRational a, BigRational b)
    +
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    Parameters
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    TypeNameDescription
    BigRationala

    The dividend.

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    BigRationalb

    The divisor.

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    Returns
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    TypeDescription
    System.ValueTuple<BigRational, BigRational>

    The quotient and the remainder of the specified numbers as integer values.

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    • diff --git a/docs/api/System.Numerics.MathR.GreatestCommonDivisor.html b/docs/api/System.Numerics.MathR.GreatestCommonDivisor.html new file mode 100644 index 00000000..1de23209 --- /dev/null +++ b/docs/api/System.Numerics.MathR.GreatestCommonDivisor.html @@ -0,0 +1,547 @@ + + + + + + + + Method GreatestCommonDivisor + + + + + + + + + + + + + + + + +
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    Method GreatestCommonDivisor +

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    GreatestCommonDivisor(BigRational, BigRational)

    +

    Finds the greatest common divisor (GCD) of two BigRational integer values.

    +
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    Declaration
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    public static BigRational GreatestCommonDivisor(BigRational a, BigRational b)
    +
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    Parameters
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    TypeNameDescription
    BigRationala

    The first value.

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    BigRationalb

    The second value.

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    Returns
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    TypeDescription
    BigRational

    The greatest common divisor of a and b.

    +
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    Remarks
    +

    This operation makes only sense for integer values.

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    + + + + + + diff --git a/docs/api/System.Numerics.MathR.IDiv.html b/docs/api/System.Numerics.MathR.IDiv.html new file mode 100644 index 00000000..f97633da --- /dev/null +++ b/docs/api/System.Numerics.MathR.IDiv.html @@ -0,0 +1,564 @@ + + + + + + + + Method IDiv + + + + + + + + + + + + + + + + +
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    Method IDiv +

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    IDiv(BigRational, BigRational)

    +

    Performes an integer division a / b

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    Declaration
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    + 
    public static BigRational IDiv(BigRational a, BigRational b)
    +
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    Parameters
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    TypeNameDescription
    BigRationala

    The value to be divided. (dividend)

    +
    BigRationalb

    The value to divide by. (devisor)

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    Returns
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    TypeDescription
    BigRational

    A BigRational integer value.

    +
    +
    Remarks
    +

    For integer values a and b, the result equals a System.Numerics.BigInteger.Divide(System.Numerics.BigInteger,System.Numerics.BigInteger) division.
    +This in contrast to a / b, where a corresponding fraction results.

    +
    +
    Exceptions
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    TypeCondition
    System.DivideByZeroException

    System.DivideByZeroException: b is zero.

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    Method IMod +

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    + + + | + Improve this Doc + + + View Source + + +

    IMod(BigRational, BigRational)

    +

    Performes an integer modulo operation a % b what is the remainder that results from a division.

    +
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    Declaration
    +
    + 
    public static BigRational IMod(BigRational a, BigRational b)
    +
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    Parameters
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    TypeNameDescription
    BigRationala

    The value to be divided. (dividend)

    +
    BigRationalb

    The value to divide by. (divisor)

    +
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    Returns
    + + + + + + + + + + + + + +
    TypeDescription
    BigRational

    A BigRational integer value.

    +
    +
    Remarks
    +

    For integer values a and b, the result equals a System.Numerics.BigInteger modulo (%) operation.
    +This in contrast to a % b, where for System.Numerics.BigInteger a corresponding fraction results.

    +
    +
    Exceptions
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    TypeCondition
    System.DivideByZeroException

    System.DivideByZeroException: b is zero.

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    Method LeastCommonMultiple +

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    + + + | + Improve this Doc + + + View Source + + +

    LeastCommonMultiple(BigRational, BigRational)

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    Finds the least common multiple (LCM) of two BigRational integer values.

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    Declaration
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    public static BigRational LeastCommonMultiple(BigRational a, BigRational b)
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    Parameters
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    TypeNameDescription
    BigRationala

    The first value.

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    BigRationalb

    The second value.

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    Returns
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    TypeDescription
    BigRational

    The least common multiple of a and b.

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    Remarks
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    This operation makes only sense for integer values.

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    Methods Cos(BigRational, Int32)

    Returns the cosine of the specified angle.

    + + + + + DivRem(BigRational, BigRational) + +

    Produces the quotient and the remainder of two signed BigRational numbers.

    + + + + + DivRem(BigRational, BigRational, out BigRational) + +

    Calculates the quotient of two BigRational signed values and also returns the remainder in an output parameter.

    @@ -570,6 +593,20 @@

    Methods Floor(BigRational)

    Rounds a specified BigRational number to the closest integer toward negative infinity.

    + + + + + GreatestCommonDivisor(BigRational, BigRational) + +

    Finds the greatest common divisor (GCD) of two BigRational integer values.

    + + + + + IDiv(BigRational, BigRational) + +

    Performes an integer division a / b

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    Methods ILog10(BigRational)

    Gets the integer base 10 logarithm of a BigRational number.

    + + + + + IMod(BigRational, BigRational) + +

    Performes an integer modulo operation a % b what is the remainder that results from a division.

    + + + + + LeastCommonMultiple(BigRational, BigRational) + +

    Finds the least common multiple (LCM) of two BigRational integer values.

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