Fix odd power table updates in GPU heuristics
This commit is contained in:
Marek Lemańczyk committed
1 parent
ce1355c749
commit
20120f5bc0
11 files changed
+1865
-141
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@@ -1,6 +1,7 @@
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using System;
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using System.Numerics;
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using System.Runtime.CompilerServices;
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using ILGPU.Algorithms;
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namespace PerfectNumbers.Core.Gpu;
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@@ -20,6 +21,691 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
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private const int Pow2WindowOddPowerCount = 1 << (Pow2WindowSizeBits - 1);
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private const int Pow2WindowMaxExponent = (1 << Pow2WindowSizeBits) - 1;
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private struct Pow2OddPowerTable
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{
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public GpuUInt128 Element0;
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public GpuUInt128 Element1;
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public GpuUInt128 Element2;
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public GpuUInt128 Element3;
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public GpuUInt128 Element4;
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public GpuUInt128 Element5;
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public GpuUInt128 Element6;
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public GpuUInt128 Element7;
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public GpuUInt128 Element8;
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public GpuUInt128 Element9;
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public GpuUInt128 Element10;
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public GpuUInt128 Element11;
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public GpuUInt128 Element12;
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public GpuUInt128 Element13;
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public GpuUInt128 Element14;
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public GpuUInt128 Element15;
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public GpuUInt128 Element16;
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public GpuUInt128 Element17;
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public GpuUInt128 Element18;
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public GpuUInt128 Element19;
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public GpuUInt128 Element20;
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public GpuUInt128 Element21;
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public GpuUInt128 Element22;
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public GpuUInt128 Element23;
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public GpuUInt128 Element24;
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public GpuUInt128 Element25;
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public GpuUInt128 Element26;
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public GpuUInt128 Element27;
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public GpuUInt128 Element28;
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public GpuUInt128 Element29;
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public GpuUInt128 Element30;
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public GpuUInt128 Element31;
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public GpuUInt128 Element32;
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public GpuUInt128 Element33;
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public GpuUInt128 Element34;
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public GpuUInt128 Element35;
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public GpuUInt128 Element36;
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public GpuUInt128 Element37;
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public GpuUInt128 Element38;
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public GpuUInt128 Element39;
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public GpuUInt128 Element40;
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public GpuUInt128 Element41;
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public GpuUInt128 Element42;
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public GpuUInt128 Element43;
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public GpuUInt128 Element44;
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public GpuUInt128 Element45;
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public GpuUInt128 Element46;
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public GpuUInt128 Element47;
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public GpuUInt128 Element48;
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public GpuUInt128 Element49;
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public GpuUInt128 Element50;
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public GpuUInt128 Element51;
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public GpuUInt128 Element52;
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public GpuUInt128 Element53;
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public GpuUInt128 Element54;
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public GpuUInt128 Element55;
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public GpuUInt128 Element56;
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public GpuUInt128 Element57;
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public GpuUInt128 Element58;
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public GpuUInt128 Element59;
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public GpuUInt128 Element60;
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public GpuUInt128 Element61;
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public GpuUInt128 Element62;
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public GpuUInt128 Element63;
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public GpuUInt128 Element64;
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public GpuUInt128 Element65;
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public GpuUInt128 Element66;
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public GpuUInt128 Element67;
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public GpuUInt128 Element68;
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public GpuUInt128 Element69;
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public GpuUInt128 Element70;
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public GpuUInt128 Element71;
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public GpuUInt128 Element72;
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public GpuUInt128 Element73;
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public GpuUInt128 Element74;
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public GpuUInt128 Element75;
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public GpuUInt128 Element76;
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public GpuUInt128 Element77;
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public GpuUInt128 Element78;
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public GpuUInt128 Element79;
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public GpuUInt128 Element80;
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public GpuUInt128 Element81;
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public GpuUInt128 Element82;
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public GpuUInt128 Element83;
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public GpuUInt128 Element84;
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public GpuUInt128 Element85;
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public GpuUInt128 Element86;
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public GpuUInt128 Element87;
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public GpuUInt128 Element88;
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public GpuUInt128 Element89;
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public GpuUInt128 Element90;
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public GpuUInt128 Element91;
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public GpuUInt128 Element92;
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public GpuUInt128 Element93;
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public GpuUInt128 Element94;
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public GpuUInt128 Element95;
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public GpuUInt128 Element96;
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public GpuUInt128 Element97;
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public GpuUInt128 Element98;
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public GpuUInt128 Element99;
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public GpuUInt128 Element100;
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public GpuUInt128 Element101;
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public GpuUInt128 Element102;
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public GpuUInt128 Element103;
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public GpuUInt128 Element104;
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public GpuUInt128 Element105;
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public GpuUInt128 Element106;
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public GpuUInt128 Element107;
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public GpuUInt128 Element108;
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public GpuUInt128 Element109;
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public GpuUInt128 Element110;
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public GpuUInt128 Element111;
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public GpuUInt128 Element112;
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public GpuUInt128 Element113;
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public GpuUInt128 Element114;
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public GpuUInt128 Element115;
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public GpuUInt128 Element116;
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public GpuUInt128 Element117;
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public GpuUInt128 Element118;
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public GpuUInt128 Element119;
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public GpuUInt128 Element120;
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public GpuUInt128 Element121;
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public GpuUInt128 Element122;
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public GpuUInt128 Element123;
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public GpuUInt128 Element124;
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public GpuUInt128 Element125;
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public GpuUInt128 Element126;
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public GpuUInt128 Element127;
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public GpuUInt128 this[int index]
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{
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readonly get
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{
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return GetElement(index);
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}
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set
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{
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SetElement(index, value);
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}
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}
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private readonly GpuUInt128 GetElement(int index) => index switch
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{
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0 => Element0,
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1 => Element1,
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2 => Element2,
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3 => Element3,
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4 => Element4,
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5 => Element5,
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6 => Element6,
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7 => Element7,
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8 => Element8,
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9 => Element9,
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10 => Element10,
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11 => Element11,
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12 => Element12,
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13 => Element13,
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14 => Element14,
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15 => Element15,
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16 => Element16,
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17 => Element17,
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18 => Element18,
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19 => Element19,
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20 => Element20,
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21 => Element21,
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22 => Element22,
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23 => Element23,
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24 => Element24,
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25 => Element25,
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26 => Element26,
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27 => Element27,
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28 => Element28,
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29 => Element29,
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30 => Element30,
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31 => Element31,
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32 => Element32,
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33 => Element33,
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34 => Element34,
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35 => Element35,
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36 => Element36,
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37 => Element37,
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38 => Element38,
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39 => Element39,
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40 => Element40,
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41 => Element41,
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42 => Element42,
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43 => Element43,
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44 => Element44,
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45 => Element45,
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46 => Element46,
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47 => Element47,
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48 => Element48,
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49 => Element49,
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50 => Element50,
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51 => Element51,
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52 => Element52,
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53 => Element53,
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54 => Element54,
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55 => Element55,
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56 => Element56,
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57 => Element57,
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58 => Element58,
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59 => Element59,
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60 => Element60,
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61 => Element61,
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62 => Element62,
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63 => Element63,
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64 => Element64,
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65 => Element65,
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66 => Element66,
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67 => Element67,
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68 => Element68,
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69 => Element69,
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70 => Element70,
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71 => Element71,
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72 => Element72,
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73 => Element73,
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74 => Element74,
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75 => Element75,
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76 => Element76,
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77 => Element77,
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78 => Element78,
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79 => Element79,
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80 => Element80,
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81 => Element81,
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82 => Element82,
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83 => Element83,
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84 => Element84,
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85 => Element85,
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86 => Element86,
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87 => Element87,
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88 => Element88,
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89 => Element89,
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90 => Element90,
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91 => Element91,
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92 => Element92,
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93 => Element93,
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94 => Element94,
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95 => Element95,
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96 => Element96,
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97 => Element97,
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98 => Element98,
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99 => Element99,
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100 => Element100,
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101 => Element101,
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102 => Element102,
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103 => Element103,
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104 => Element104,
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105 => Element105,
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106 => Element106,
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107 => Element107,
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108 => Element108,
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109 => Element109,
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110 => Element110,
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111 => Element111,
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112 => Element112,
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113 => Element113,
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114 => Element114,
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115 => Element115,
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116 => Element116,
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117 => Element117,
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118 => Element118,
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119 => Element119,
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120 => Element120,
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121 => Element121,
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122 => Element122,
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123 => Element123,
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124 => Element124,
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125 => Element125,
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126 => Element126,
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127 => Element127,
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_ => Element0,
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};
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[MethodImpl(MethodImplOptions.AggressiveInlining)]
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private void SetElement(int index, GpuUInt128 value)
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{
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switch (index)
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{
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case 0:
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Element0 = value;
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return;
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case 1:
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Element1 = value;
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return;
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case 2:
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Element2 = value;
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return;
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case 3:
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Element3 = value;
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return;
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case 4:
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Element4 = value;
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return;
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case 5:
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Element5 = value;
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return;
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case 6:
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Element6 = value;
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return;
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case 7:
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Element7 = value;
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return;
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case 8:
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Element8 = value;
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return;
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case 9:
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Element9 = value;
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return;
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case 10:
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Element10 = value;
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return;
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case 11:
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Element11 = value;
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return;
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case 12:
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Element12 = value;
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return;
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case 13:
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Element13 = value;
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return;
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case 14:
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Element14 = value;
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return;
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case 15:
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Element15 = value;
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return;
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case 16:
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Element16 = value;
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return;
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case 17:
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Element17 = value;
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return;
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case 18:
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Element18 = value;
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return;
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case 19:
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Element19 = value;
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return;
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case 20:
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Element20 = value;
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return;
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case 21:
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Element21 = value;
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return;
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case 22:
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Element22 = value;
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return;
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case 23:
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Element23 = value;
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return;
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case 24:
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Element24 = value;
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return;
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case 25:
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Element25 = value;
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return;
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case 26:
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Element26 = value;
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return;
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case 27:
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Element27 = value;
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return;
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case 28:
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Element28 = value;
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return;
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case 29:
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Element29 = value;
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return;
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case 30:
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Element30 = value;
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return;
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case 31:
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Element31 = value;
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return;
|
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case 32:
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Element32 = value;
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return;
|
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case 33:
|
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Element33 = value;
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return;
|
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case 34:
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Element34 = value;
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return;
|
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case 35:
|
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Element35 = value;
|
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return;
|
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case 36:
|
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Element36 = value;
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return;
|
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case 37:
|
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Element37 = value;
|
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return;
|
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case 38:
|
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Element38 = value;
|
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return;
|
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case 39:
|
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Element39 = value;
|
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return;
|
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case 40:
|
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Element40 = value;
|
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return;
|
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case 41:
|
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Element41 = value;
|
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return;
|
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case 42:
|
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Element42 = value;
|
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return;
|
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case 43:
|
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Element43 = value;
|
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return;
|
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case 44:
|
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Element44 = value;
|
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return;
|
||||
case 45:
|
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Element45 = value;
|
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return;
|
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case 46:
|
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Element46 = value;
|
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return;
|
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case 47:
|
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Element47 = value;
|
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return;
|
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case 48:
|
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Element48 = value;
|
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return;
|
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case 49:
|
||||
Element49 = value;
|
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return;
|
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case 50:
|
||||
Element50 = value;
|
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return;
|
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case 51:
|
||||
Element51 = value;
|
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return;
|
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case 52:
|
||||
Element52 = value;
|
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return;
|
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case 53:
|
||||
Element53 = value;
|
||||
return;
|
||||
case 54:
|
||||
Element54 = value;
|
||||
return;
|
||||
case 55:
|
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Element55 = value;
|
||||
return;
|
||||
case 56:
|
||||
Element56 = value;
|
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return;
|
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case 57:
|
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Element57 = value;
|
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return;
|
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case 58:
|
||||
Element58 = value;
|
||||
return;
|
||||
case 59:
|
||||
Element59 = value;
|
||||
return;
|
||||
case 60:
|
||||
Element60 = value;
|
||||
return;
|
||||
case 61:
|
||||
Element61 = value;
|
||||
return;
|
||||
case 62:
|
||||
Element62 = value;
|
||||
return;
|
||||
case 63:
|
||||
Element63 = value;
|
||||
return;
|
||||
case 64:
|
||||
Element64 = value;
|
||||
return;
|
||||
case 65:
|
||||
Element65 = value;
|
||||
return;
|
||||
case 66:
|
||||
Element66 = value;
|
||||
return;
|
||||
case 67:
|
||||
Element67 = value;
|
||||
return;
|
||||
case 68:
|
||||
Element68 = value;
|
||||
return;
|
||||
case 69:
|
||||
Element69 = value;
|
||||
return;
|
||||
case 70:
|
||||
Element70 = value;
|
||||
return;
|
||||
case 71:
|
||||
Element71 = value;
|
||||
return;
|
||||
case 72:
|
||||
Element72 = value;
|
||||
return;
|
||||
case 73:
|
||||
Element73 = value;
|
||||
return;
|
||||
case 74:
|
||||
Element74 = value;
|
||||
return;
|
||||
case 75:
|
||||
Element75 = value;
|
||||
return;
|
||||
case 76:
|
||||
Element76 = value;
|
||||
return;
|
||||
case 77:
|
||||
Element77 = value;
|
||||
return;
|
||||
case 78:
|
||||
Element78 = value;
|
||||
return;
|
||||
case 79:
|
||||
Element79 = value;
|
||||
return;
|
||||
case 80:
|
||||
Element80 = value;
|
||||
return;
|
||||
case 81:
|
||||
Element81 = value;
|
||||
return;
|
||||
case 82:
|
||||
Element82 = value;
|
||||
return;
|
||||
case 83:
|
||||
Element83 = value;
|
||||
return;
|
||||
case 84:
|
||||
Element84 = value;
|
||||
return;
|
||||
case 85:
|
||||
Element85 = value;
|
||||
return;
|
||||
case 86:
|
||||
Element86 = value;
|
||||
return;
|
||||
case 87:
|
||||
Element87 = value;
|
||||
return;
|
||||
case 88:
|
||||
Element88 = value;
|
||||
return;
|
||||
case 89:
|
||||
Element89 = value;
|
||||
return;
|
||||
case 90:
|
||||
Element90 = value;
|
||||
return;
|
||||
case 91:
|
||||
Element91 = value;
|
||||
return;
|
||||
case 92:
|
||||
Element92 = value;
|
||||
return;
|
||||
case 93:
|
||||
Element93 = value;
|
||||
return;
|
||||
case 94:
|
||||
Element94 = value;
|
||||
return;
|
||||
case 95:
|
||||
Element95 = value;
|
||||
return;
|
||||
case 96:
|
||||
Element96 = value;
|
||||
return;
|
||||
case 97:
|
||||
Element97 = value;
|
||||
return;
|
||||
case 98:
|
||||
Element98 = value;
|
||||
return;
|
||||
case 99:
|
||||
Element99 = value;
|
||||
return;
|
||||
case 100:
|
||||
Element100 = value;
|
||||
return;
|
||||
case 101:
|
||||
Element101 = value;
|
||||
return;
|
||||
case 102:
|
||||
Element102 = value;
|
||||
return;
|
||||
case 103:
|
||||
Element103 = value;
|
||||
return;
|
||||
case 104:
|
||||
Element104 = value;
|
||||
return;
|
||||
case 105:
|
||||
Element105 = value;
|
||||
return;
|
||||
case 106:
|
||||
Element106 = value;
|
||||
return;
|
||||
case 107:
|
||||
Element107 = value;
|
||||
return;
|
||||
case 108:
|
||||
Element108 = value;
|
||||
return;
|
||||
case 109:
|
||||
Element109 = value;
|
||||
return;
|
||||
case 110:
|
||||
Element110 = value;
|
||||
return;
|
||||
case 111:
|
||||
Element111 = value;
|
||||
return;
|
||||
case 112:
|
||||
Element112 = value;
|
||||
return;
|
||||
case 113:
|
||||
Element113 = value;
|
||||
return;
|
||||
case 114:
|
||||
Element114 = value;
|
||||
return;
|
||||
case 115:
|
||||
Element115 = value;
|
||||
return;
|
||||
case 116:
|
||||
Element116 = value;
|
||||
return;
|
||||
case 117:
|
||||
Element117 = value;
|
||||
return;
|
||||
case 118:
|
||||
Element118 = value;
|
||||
return;
|
||||
case 119:
|
||||
Element119 = value;
|
||||
return;
|
||||
case 120:
|
||||
Element120 = value;
|
||||
return;
|
||||
case 121:
|
||||
Element121 = value;
|
||||
return;
|
||||
case 122:
|
||||
Element122 = value;
|
||||
return;
|
||||
case 123:
|
||||
Element123 = value;
|
||||
return;
|
||||
case 124:
|
||||
Element124 = value;
|
||||
return;
|
||||
case 125:
|
||||
Element125 = value;
|
||||
return;
|
||||
case 126:
|
||||
Element126 = value;
|
||||
return;
|
||||
case 127:
|
||||
Element127 = value;
|
||||
return;
|
||||
default:
|
||||
// ILGPU kernels cannot throw exceptions, and callers guarantee the index range.
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private static int GetScalarBitLength(ulong value)
|
||||
{
|
||||
if (value == 0UL)
|
||||
{
|
||||
return 0;
|
||||
}
|
||||
|
||||
return 64 - XMath.LeadingZeroCount(value);
|
||||
}
|
||||
|
||||
public static readonly GpuUInt128 Zero = new();
|
||||
public static readonly GpuUInt128 One = new(1UL);
|
||||
|
||||
@@ -423,7 +1109,7 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
|
||||
return new GpuUInt128(1UL);
|
||||
}
|
||||
|
||||
Span<GpuUInt128> oddPowers = stackalloc GpuUInt128[Pow2WindowOddPowerCount];
|
||||
Pow2OddPowerTable oddPowers = default;
|
||||
GpuUInt128 power = new GpuUInt128(1UL);
|
||||
int oddIndex = 0;
|
||||
|
||||
@@ -437,12 +1123,13 @@ public struct GpuUInt128 : IComparable<GpuUInt128>, IEquatable<GpuUInt128>
|
||||
|
||||
if ((bit & 1) != 0)
|
||||
{
|
||||
oddPowers[oddIndex++] = power;
|
||||
oddPowers[oddIndex] = power;
|
||||
oddIndex++;
|
||||
}
|
||||
}
|
||||
|
||||
GpuUInt128 result = new GpuUInt128(1UL);
|
||||
int bitLength = BitOperations.Log2(exponent) + 1;
|
||||
int bitLength = GetScalarBitLength(exponent);
|
||||
int index = bitLength - 1;
|
||||
|
||||
while (index >= 0)
|
||||
|
||||
@@ -13,6 +13,9 @@ using CycleRemainderStepper = PerfectNumbers.Core.CycleRemainderStepper;
|
||||
|
||||
namespace PerfectNumbers.Core.Gpu;
|
||||
|
||||
/// <summary>
|
||||
/// Scans Mersenne divisors on the GPU for prime exponents p >= 31 using per-divisor Montgomery data.
|
||||
/// </summary>
|
||||
public sealed class MersenneNumberDivisorByDivisorGpuTester : IMersenneNumberDivisorByDivisorTester
|
||||
{
|
||||
private int _gpuBatchSize = GpuConstants.ScanBatchSize;
|
||||
|
||||
@@ -5,6 +5,9 @@ using ILGPU.Runtime;
|
||||
|
||||
namespace PerfectNumbers.Core.Gpu;
|
||||
|
||||
/// <summary>
|
||||
/// Provides GPU-accelerated divisibility checks for Mersenne numbers with prime exponents p >= 31.
|
||||
/// </summary>
|
||||
public sealed class MersenneNumberDivisorGpuTester
|
||||
{
|
||||
private readonly ConcurrentDictionary<Accelerator, Action<Index1D, ulong, GpuUInt128, ArrayView<byte>>> _kernelCache = new();
|
||||
|
||||
@@ -1,9 +1,10 @@
|
||||
using System.Buffers;
|
||||
using System.Runtime.InteropServices;
|
||||
using ILGPU.Runtime;
|
||||
using System;
|
||||
|
||||
namespace PerfectNumbers.Core.Gpu;
|
||||
|
||||
/// <summary>
|
||||
/// Uses GPU kernels to incrementally scan Mersenne candidates for prime exponents p >= 31.
|
||||
/// </summary>
|
||||
public class MersenneNumberIncrementalGpuTester(GpuKernelType kernelType, bool useGpuOrder)
|
||||
{
|
||||
private readonly GpuKernelType _kernelType = kernelType;
|
||||
@@ -11,94 +12,6 @@ public class MersenneNumberIncrementalGpuTester(GpuKernelType kernelType, bool u
|
||||
|
||||
public void Scan(ulong exponent, UInt128 twoP, bool lastIsSeven, UInt128 maxK, ref bool isPrime)
|
||||
{
|
||||
var gpuLease = GpuKernelPool.GetKernel(_useGpuOrder);
|
||||
var execution = gpuLease.EnterExecutionScope();
|
||||
var accelerator = gpuLease.Accelerator;
|
||||
var stream = gpuLease.Stream;
|
||||
int batchSize = GpuConstants.ScanBatchSize;
|
||||
UInt128 kStart = 1UL;
|
||||
ulong divMul = (ulong)((((UInt128)1 << 64) - UInt128.One) / exponent) + 1UL;
|
||||
byte last = lastIsSeven ? (byte)1 : (byte)0;
|
||||
|
||||
var pow2Kernel = gpuLease.Pow2ModKernel; // TODO: Route this binding to the ProcessEightBitWindows kernel once the scalar helper lands so GPU incremental scans inherit the windowed speedup from GpuPow2ModBenchmarks.
|
||||
var incKernel = gpuLease.IncrementalKernel;
|
||||
exponent.Mod10_8_5_3Steps(out ulong step10, out ulong step8, out ulong step5, out ulong step3);
|
||||
GpuUInt128 twoPGpu = (GpuUInt128)twoP;
|
||||
var smallCyclesView = GpuKernelPool.EnsureSmallCyclesOnDevice(accelerator);
|
||||
ResiduePrimeViews primeViews = default;
|
||||
if (_kernelType == GpuKernelType.Pow2Mod)
|
||||
{
|
||||
primeViews = GpuKernelPool.EnsureSmallPrimesOnDevice(accelerator);
|
||||
}
|
||||
|
||||
var orderBuffer = accelerator.Allocate1D<ulong>(batchSize);
|
||||
ulong[] orderArray = ArrayPool<ulong>.Shared.Rent(batchSize);
|
||||
UInt128 remaining;
|
||||
int currentSize;
|
||||
int i;
|
||||
UInt128 q = UInt128.Zero;
|
||||
|
||||
try
|
||||
{
|
||||
while (kStart <= maxK && Volatile.Read(ref isPrime))
|
||||
{
|
||||
remaining = maxK - kStart + UInt128.One;
|
||||
currentSize = remaining > (UInt128)batchSize ? batchSize : (int)remaining;
|
||||
Span<ulong> orders = orderArray.AsSpan(0, currentSize);
|
||||
UInt128 q0 = twoP * kStart + UInt128.One;
|
||||
// TODO: Swap this multiply-and-add initialization for the divisor-cycle stepping helper so the GPU incremental path reuses cached offsets instead of recomputing twoP multiples every batch.
|
||||
|
||||
if (_kernelType == GpuKernelType.Pow2Mod)
|
||||
{
|
||||
q0.Mod10_8_5_3(out ulong q0m10, out ulong q0m8, out ulong q0m5, out ulong q0m3);
|
||||
var kernelArgs = new ResidueAutomatonArgs(q0m10, step10, q0m8, step8, q0m3, step3, q0m5, step5);
|
||||
pow2Kernel(stream, currentSize, exponent, twoPGpu, (GpuUInt128)kStart, last, divMul,
|
||||
kernelArgs, orderBuffer.View, smallCyclesView, primeViews.LastOne, primeViews.LastSeven,
|
||||
primeViews.LastOnePow2, primeViews.LastSevenPow2);
|
||||
}
|
||||
else
|
||||
{
|
||||
q0.Mod10_8_5_3(out ulong q0m10, out ulong q0m8, out ulong q0m5, out ulong q0m3);
|
||||
incKernel(stream, currentSize, exponent, twoPGpu, (GpuUInt128)kStart, last, divMul,
|
||||
q0m10, q0m8, q0m3, q0m5, orderBuffer.View, smallCyclesView);
|
||||
}
|
||||
|
||||
stream.Synchronize();
|
||||
orderBuffer.View.CopyToCPU(ref MemoryMarshal.GetReference(orders), currentSize);
|
||||
if (_kernelType == GpuKernelType.Pow2Mod)
|
||||
{
|
||||
for (i = 0; i < currentSize; i++)
|
||||
{
|
||||
if (orders[i] != 0UL)
|
||||
{
|
||||
Volatile.Write(ref isPrime, false);
|
||||
break;
|
||||
}
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
q = twoP * kStart + UInt128.One;
|
||||
// TODO: Replace this per-lane multiplication and the subsequent q += twoP stride with the shared divisor-cycle ladder so each iteration advances by cached cycle increments and automatically triggers on-demand GPU computations when the snapshot lacks the requested cycle.
|
||||
for (i = 0; i < currentSize && Volatile.Read(ref isPrime); i++, q += twoP)
|
||||
{
|
||||
if (orders[i] != 0UL && q.IsPrimeCandidate())
|
||||
{
|
||||
Volatile.Write(ref isPrime, false);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
kStart += (UInt128)currentSize;
|
||||
}
|
||||
}
|
||||
finally
|
||||
{
|
||||
ArrayPool<ulong>.Shared.Return(orderArray);
|
||||
orderBuffer.Dispose();
|
||||
execution.Dispose();
|
||||
gpuLease.Dispose();
|
||||
}
|
||||
throw new NotImplementedException($"GPU incremental scanning requires the device cycle heuristics implementation (kernel: {_kernelType}, GPU order: {_useGpuOrder}).");
|
||||
}
|
||||
}
|
||||
|
||||
@@ -26,7 +26,7 @@ internal static partial class PrimeOrderGpuHeuristics
|
||||
private static readonly ConcurrentDictionary<Accelerator, OrderKernelLauncher> OrderKernelCache = new();
|
||||
private static readonly ConcurrentDictionary<Accelerator, SmallPrimeDeviceCache> SmallPrimeDeviceCaches = new();
|
||||
|
||||
private readonly struct OrderKernelConfig
|
||||
public readonly struct OrderKernelConfig
|
||||
{
|
||||
public OrderKernelConfig(ulong previousOrder, byte hasPreviousOrder, uint smallFactorLimit, int maxPowChecks, int mode)
|
||||
{
|
||||
@@ -48,7 +48,7 @@ internal static partial class PrimeOrderGpuHeuristics
|
||||
public int Mode { get; }
|
||||
}
|
||||
|
||||
private readonly struct OrderKernelBuffers
|
||||
public readonly struct OrderKernelBuffers
|
||||
{
|
||||
public OrderKernelBuffers(
|
||||
ArrayView1D<ulong, Stride1D.Dense> phiFactors,
|
||||
@@ -125,10 +125,678 @@ internal static partial class PrimeOrderGpuHeuristics
|
||||
private const int GpuSmallPrimeFactorSlots = 64;
|
||||
|
||||
|
||||
[InlineArray(Pow2WindowOddPowerCount)]
|
||||
private struct Pow2OddPowerTable
|
||||
{
|
||||
private GpuUInt128 _element0;
|
||||
public GpuUInt128 Element0;
|
||||
public GpuUInt128 Element1;
|
||||
public GpuUInt128 Element2;
|
||||
public GpuUInt128 Element3;
|
||||
public GpuUInt128 Element4;
|
||||
public GpuUInt128 Element5;
|
||||
public GpuUInt128 Element6;
|
||||
public GpuUInt128 Element7;
|
||||
public GpuUInt128 Element8;
|
||||
public GpuUInt128 Element9;
|
||||
public GpuUInt128 Element10;
|
||||
public GpuUInt128 Element11;
|
||||
public GpuUInt128 Element12;
|
||||
public GpuUInt128 Element13;
|
||||
public GpuUInt128 Element14;
|
||||
public GpuUInt128 Element15;
|
||||
public GpuUInt128 Element16;
|
||||
public GpuUInt128 Element17;
|
||||
public GpuUInt128 Element18;
|
||||
public GpuUInt128 Element19;
|
||||
public GpuUInt128 Element20;
|
||||
public GpuUInt128 Element21;
|
||||
public GpuUInt128 Element22;
|
||||
public GpuUInt128 Element23;
|
||||
public GpuUInt128 Element24;
|
||||
public GpuUInt128 Element25;
|
||||
public GpuUInt128 Element26;
|
||||
public GpuUInt128 Element27;
|
||||
public GpuUInt128 Element28;
|
||||
public GpuUInt128 Element29;
|
||||
public GpuUInt128 Element30;
|
||||
public GpuUInt128 Element31;
|
||||
public GpuUInt128 Element32;
|
||||
public GpuUInt128 Element33;
|
||||
public GpuUInt128 Element34;
|
||||
public GpuUInt128 Element35;
|
||||
public GpuUInt128 Element36;
|
||||
public GpuUInt128 Element37;
|
||||
public GpuUInt128 Element38;
|
||||
public GpuUInt128 Element39;
|
||||
public GpuUInt128 Element40;
|
||||
public GpuUInt128 Element41;
|
||||
public GpuUInt128 Element42;
|
||||
public GpuUInt128 Element43;
|
||||
public GpuUInt128 Element44;
|
||||
public GpuUInt128 Element45;
|
||||
public GpuUInt128 Element46;
|
||||
public GpuUInt128 Element47;
|
||||
public GpuUInt128 Element48;
|
||||
public GpuUInt128 Element49;
|
||||
public GpuUInt128 Element50;
|
||||
public GpuUInt128 Element51;
|
||||
public GpuUInt128 Element52;
|
||||
public GpuUInt128 Element53;
|
||||
public GpuUInt128 Element54;
|
||||
public GpuUInt128 Element55;
|
||||
public GpuUInt128 Element56;
|
||||
public GpuUInt128 Element57;
|
||||
public GpuUInt128 Element58;
|
||||
public GpuUInt128 Element59;
|
||||
public GpuUInt128 Element60;
|
||||
public GpuUInt128 Element61;
|
||||
public GpuUInt128 Element62;
|
||||
public GpuUInt128 Element63;
|
||||
public GpuUInt128 Element64;
|
||||
public GpuUInt128 Element65;
|
||||
public GpuUInt128 Element66;
|
||||
public GpuUInt128 Element67;
|
||||
public GpuUInt128 Element68;
|
||||
public GpuUInt128 Element69;
|
||||
public GpuUInt128 Element70;
|
||||
public GpuUInt128 Element71;
|
||||
public GpuUInt128 Element72;
|
||||
public GpuUInt128 Element73;
|
||||
public GpuUInt128 Element74;
|
||||
public GpuUInt128 Element75;
|
||||
public GpuUInt128 Element76;
|
||||
public GpuUInt128 Element77;
|
||||
public GpuUInt128 Element78;
|
||||
public GpuUInt128 Element79;
|
||||
public GpuUInt128 Element80;
|
||||
public GpuUInt128 Element81;
|
||||
public GpuUInt128 Element82;
|
||||
public GpuUInt128 Element83;
|
||||
public GpuUInt128 Element84;
|
||||
public GpuUInt128 Element85;
|
||||
public GpuUInt128 Element86;
|
||||
public GpuUInt128 Element87;
|
||||
public GpuUInt128 Element88;
|
||||
public GpuUInt128 Element89;
|
||||
public GpuUInt128 Element90;
|
||||
public GpuUInt128 Element91;
|
||||
public GpuUInt128 Element92;
|
||||
public GpuUInt128 Element93;
|
||||
public GpuUInt128 Element94;
|
||||
public GpuUInt128 Element95;
|
||||
public GpuUInt128 Element96;
|
||||
public GpuUInt128 Element97;
|
||||
public GpuUInt128 Element98;
|
||||
public GpuUInt128 Element99;
|
||||
public GpuUInt128 Element100;
|
||||
public GpuUInt128 Element101;
|
||||
public GpuUInt128 Element102;
|
||||
public GpuUInt128 Element103;
|
||||
public GpuUInt128 Element104;
|
||||
public GpuUInt128 Element105;
|
||||
public GpuUInt128 Element106;
|
||||
public GpuUInt128 Element107;
|
||||
public GpuUInt128 Element108;
|
||||
public GpuUInt128 Element109;
|
||||
public GpuUInt128 Element110;
|
||||
public GpuUInt128 Element111;
|
||||
public GpuUInt128 Element112;
|
||||
public GpuUInt128 Element113;
|
||||
public GpuUInt128 Element114;
|
||||
public GpuUInt128 Element115;
|
||||
public GpuUInt128 Element116;
|
||||
public GpuUInt128 Element117;
|
||||
public GpuUInt128 Element118;
|
||||
public GpuUInt128 Element119;
|
||||
public GpuUInt128 Element120;
|
||||
public GpuUInt128 Element121;
|
||||
public GpuUInt128 Element122;
|
||||
public GpuUInt128 Element123;
|
||||
public GpuUInt128 Element124;
|
||||
public GpuUInt128 Element125;
|
||||
public GpuUInt128 Element126;
|
||||
public GpuUInt128 Element127;
|
||||
|
||||
public GpuUInt128 this[int index]
|
||||
{
|
||||
readonly get
|
||||
{
|
||||
return GetElement(index);
|
||||
}
|
||||
|
||||
set
|
||||
{
|
||||
SetElement(index, value);
|
||||
}
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private readonly GpuUInt128 GetElement(int index) => index switch
|
||||
{
|
||||
0 => Element0,
|
||||
1 => Element1,
|
||||
2 => Element2,
|
||||
3 => Element3,
|
||||
4 => Element4,
|
||||
5 => Element5,
|
||||
6 => Element6,
|
||||
7 => Element7,
|
||||
8 => Element8,
|
||||
9 => Element9,
|
||||
10 => Element10,
|
||||
11 => Element11,
|
||||
12 => Element12,
|
||||
13 => Element13,
|
||||
14 => Element14,
|
||||
15 => Element15,
|
||||
16 => Element16,
|
||||
17 => Element17,
|
||||
18 => Element18,
|
||||
19 => Element19,
|
||||
20 => Element20,
|
||||
21 => Element21,
|
||||
22 => Element22,
|
||||
23 => Element23,
|
||||
24 => Element24,
|
||||
25 => Element25,
|
||||
26 => Element26,
|
||||
27 => Element27,
|
||||
28 => Element28,
|
||||
29 => Element29,
|
||||
30 => Element30,
|
||||
31 => Element31,
|
||||
32 => Element32,
|
||||
33 => Element33,
|
||||
34 => Element34,
|
||||
35 => Element35,
|
||||
36 => Element36,
|
||||
37 => Element37,
|
||||
38 => Element38,
|
||||
39 => Element39,
|
||||
40 => Element40,
|
||||
41 => Element41,
|
||||
42 => Element42,
|
||||
43 => Element43,
|
||||
44 => Element44,
|
||||
45 => Element45,
|
||||
46 => Element46,
|
||||
47 => Element47,
|
||||
48 => Element48,
|
||||
49 => Element49,
|
||||
50 => Element50,
|
||||
51 => Element51,
|
||||
52 => Element52,
|
||||
53 => Element53,
|
||||
54 => Element54,
|
||||
55 => Element55,
|
||||
56 => Element56,
|
||||
57 => Element57,
|
||||
58 => Element58,
|
||||
59 => Element59,
|
||||
60 => Element60,
|
||||
61 => Element61,
|
||||
62 => Element62,
|
||||
63 => Element63,
|
||||
64 => Element64,
|
||||
65 => Element65,
|
||||
66 => Element66,
|
||||
67 => Element67,
|
||||
68 => Element68,
|
||||
69 => Element69,
|
||||
70 => Element70,
|
||||
71 => Element71,
|
||||
72 => Element72,
|
||||
73 => Element73,
|
||||
74 => Element74,
|
||||
75 => Element75,
|
||||
76 => Element76,
|
||||
77 => Element77,
|
||||
78 => Element78,
|
||||
79 => Element79,
|
||||
80 => Element80,
|
||||
81 => Element81,
|
||||
82 => Element82,
|
||||
83 => Element83,
|
||||
84 => Element84,
|
||||
85 => Element85,
|
||||
86 => Element86,
|
||||
87 => Element87,
|
||||
88 => Element88,
|
||||
89 => Element89,
|
||||
90 => Element90,
|
||||
91 => Element91,
|
||||
92 => Element92,
|
||||
93 => Element93,
|
||||
94 => Element94,
|
||||
95 => Element95,
|
||||
96 => Element96,
|
||||
97 => Element97,
|
||||
98 => Element98,
|
||||
99 => Element99,
|
||||
100 => Element100,
|
||||
101 => Element101,
|
||||
102 => Element102,
|
||||
103 => Element103,
|
||||
104 => Element104,
|
||||
105 => Element105,
|
||||
106 => Element106,
|
||||
107 => Element107,
|
||||
108 => Element108,
|
||||
109 => Element109,
|
||||
110 => Element110,
|
||||
111 => Element111,
|
||||
112 => Element112,
|
||||
113 => Element113,
|
||||
114 => Element114,
|
||||
115 => Element115,
|
||||
116 => Element116,
|
||||
117 => Element117,
|
||||
118 => Element118,
|
||||
119 => Element119,
|
||||
120 => Element120,
|
||||
121 => Element121,
|
||||
122 => Element122,
|
||||
123 => Element123,
|
||||
124 => Element124,
|
||||
125 => Element125,
|
||||
126 => Element126,
|
||||
127 => Element127,
|
||||
_ => Element0,
|
||||
};
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private void SetElement(int index, GpuUInt128 value)
|
||||
{
|
||||
switch (index)
|
||||
{
|
||||
case 0:
|
||||
Element0 = value;
|
||||
return;
|
||||
case 1:
|
||||
Element1 = value;
|
||||
return;
|
||||
case 2:
|
||||
Element2 = value;
|
||||
return;
|
||||
case 3:
|
||||
Element3 = value;
|
||||
return;
|
||||
case 4:
|
||||
Element4 = value;
|
||||
return;
|
||||
case 5:
|
||||
Element5 = value;
|
||||
return;
|
||||
case 6:
|
||||
Element6 = value;
|
||||
return;
|
||||
case 7:
|
||||
Element7 = value;
|
||||
return;
|
||||
case 8:
|
||||
Element8 = value;
|
||||
return;
|
||||
case 9:
|
||||
Element9 = value;
|
||||
return;
|
||||
case 10:
|
||||
Element10 = value;
|
||||
return;
|
||||
case 11:
|
||||
Element11 = value;
|
||||
return;
|
||||
case 12:
|
||||
Element12 = value;
|
||||
return;
|
||||
case 13:
|
||||
Element13 = value;
|
||||
return;
|
||||
case 14:
|
||||
Element14 = value;
|
||||
return;
|
||||
case 15:
|
||||
Element15 = value;
|
||||
return;
|
||||
case 16:
|
||||
Element16 = value;
|
||||
return;
|
||||
case 17:
|
||||
Element17 = value;
|
||||
return;
|
||||
case 18:
|
||||
Element18 = value;
|
||||
return;
|
||||
case 19:
|
||||
Element19 = value;
|
||||
return;
|
||||
case 20:
|
||||
Element20 = value;
|
||||
return;
|
||||
case 21:
|
||||
Element21 = value;
|
||||
return;
|
||||
case 22:
|
||||
Element22 = value;
|
||||
return;
|
||||
case 23:
|
||||
Element23 = value;
|
||||
return;
|
||||
case 24:
|
||||
Element24 = value;
|
||||
return;
|
||||
case 25:
|
||||
Element25 = value;
|
||||
return;
|
||||
case 26:
|
||||
Element26 = value;
|
||||
return;
|
||||
case 27:
|
||||
Element27 = value;
|
||||
return;
|
||||
case 28:
|
||||
Element28 = value;
|
||||
return;
|
||||
case 29:
|
||||
Element29 = value;
|
||||
return;
|
||||
case 30:
|
||||
Element30 = value;
|
||||
return;
|
||||
case 31:
|
||||
Element31 = value;
|
||||
return;
|
||||
case 32:
|
||||
Element32 = value;
|
||||
return;
|
||||
case 33:
|
||||
Element33 = value;
|
||||
return;
|
||||
case 34:
|
||||
Element34 = value;
|
||||
return;
|
||||
case 35:
|
||||
Element35 = value;
|
||||
return;
|
||||
case 36:
|
||||
Element36 = value;
|
||||
return;
|
||||
case 37:
|
||||
Element37 = value;
|
||||
return;
|
||||
case 38:
|
||||
Element38 = value;
|
||||
return;
|
||||
case 39:
|
||||
Element39 = value;
|
||||
return;
|
||||
case 40:
|
||||
Element40 = value;
|
||||
return;
|
||||
case 41:
|
||||
Element41 = value;
|
||||
return;
|
||||
case 42:
|
||||
Element42 = value;
|
||||
return;
|
||||
case 43:
|
||||
Element43 = value;
|
||||
return;
|
||||
case 44:
|
||||
Element44 = value;
|
||||
return;
|
||||
case 45:
|
||||
Element45 = value;
|
||||
return;
|
||||
case 46:
|
||||
Element46 = value;
|
||||
return;
|
||||
case 47:
|
||||
Element47 = value;
|
||||
return;
|
||||
case 48:
|
||||
Element48 = value;
|
||||
return;
|
||||
case 49:
|
||||
Element49 = value;
|
||||
return;
|
||||
case 50:
|
||||
Element50 = value;
|
||||
return;
|
||||
case 51:
|
||||
Element51 = value;
|
||||
return;
|
||||
case 52:
|
||||
Element52 = value;
|
||||
return;
|
||||
case 53:
|
||||
Element53 = value;
|
||||
return;
|
||||
case 54:
|
||||
Element54 = value;
|
||||
return;
|
||||
case 55:
|
||||
Element55 = value;
|
||||
return;
|
||||
case 56:
|
||||
Element56 = value;
|
||||
return;
|
||||
case 57:
|
||||
Element57 = value;
|
||||
return;
|
||||
case 58:
|
||||
Element58 = value;
|
||||
return;
|
||||
case 59:
|
||||
Element59 = value;
|
||||
return;
|
||||
case 60:
|
||||
Element60 = value;
|
||||
return;
|
||||
case 61:
|
||||
Element61 = value;
|
||||
return;
|
||||
case 62:
|
||||
Element62 = value;
|
||||
return;
|
||||
case 63:
|
||||
Element63 = value;
|
||||
return;
|
||||
case 64:
|
||||
Element64 = value;
|
||||
return;
|
||||
case 65:
|
||||
Element65 = value;
|
||||
return;
|
||||
case 66:
|
||||
Element66 = value;
|
||||
return;
|
||||
case 67:
|
||||
Element67 = value;
|
||||
return;
|
||||
case 68:
|
||||
Element68 = value;
|
||||
return;
|
||||
case 69:
|
||||
Element69 = value;
|
||||
return;
|
||||
case 70:
|
||||
Element70 = value;
|
||||
return;
|
||||
case 71:
|
||||
Element71 = value;
|
||||
return;
|
||||
case 72:
|
||||
Element72 = value;
|
||||
return;
|
||||
case 73:
|
||||
Element73 = value;
|
||||
return;
|
||||
case 74:
|
||||
Element74 = value;
|
||||
return;
|
||||
case 75:
|
||||
Element75 = value;
|
||||
return;
|
||||
case 76:
|
||||
Element76 = value;
|
||||
return;
|
||||
case 77:
|
||||
Element77 = value;
|
||||
return;
|
||||
case 78:
|
||||
Element78 = value;
|
||||
return;
|
||||
case 79:
|
||||
Element79 = value;
|
||||
return;
|
||||
case 80:
|
||||
Element80 = value;
|
||||
return;
|
||||
case 81:
|
||||
Element81 = value;
|
||||
return;
|
||||
case 82:
|
||||
Element82 = value;
|
||||
return;
|
||||
case 83:
|
||||
Element83 = value;
|
||||
return;
|
||||
case 84:
|
||||
Element84 = value;
|
||||
return;
|
||||
case 85:
|
||||
Element85 = value;
|
||||
return;
|
||||
case 86:
|
||||
Element86 = value;
|
||||
return;
|
||||
case 87:
|
||||
Element87 = value;
|
||||
return;
|
||||
case 88:
|
||||
Element88 = value;
|
||||
return;
|
||||
case 89:
|
||||
Element89 = value;
|
||||
return;
|
||||
case 90:
|
||||
Element90 = value;
|
||||
return;
|
||||
case 91:
|
||||
Element91 = value;
|
||||
return;
|
||||
case 92:
|
||||
Element92 = value;
|
||||
return;
|
||||
case 93:
|
||||
Element93 = value;
|
||||
return;
|
||||
case 94:
|
||||
Element94 = value;
|
||||
return;
|
||||
case 95:
|
||||
Element95 = value;
|
||||
return;
|
||||
case 96:
|
||||
Element96 = value;
|
||||
return;
|
||||
case 97:
|
||||
Element97 = value;
|
||||
return;
|
||||
case 98:
|
||||
Element98 = value;
|
||||
return;
|
||||
case 99:
|
||||
Element99 = value;
|
||||
return;
|
||||
case 100:
|
||||
Element100 = value;
|
||||
return;
|
||||
case 101:
|
||||
Element101 = value;
|
||||
return;
|
||||
case 102:
|
||||
Element102 = value;
|
||||
return;
|
||||
case 103:
|
||||
Element103 = value;
|
||||
return;
|
||||
case 104:
|
||||
Element104 = value;
|
||||
return;
|
||||
case 105:
|
||||
Element105 = value;
|
||||
return;
|
||||
case 106:
|
||||
Element106 = value;
|
||||
return;
|
||||
case 107:
|
||||
Element107 = value;
|
||||
return;
|
||||
case 108:
|
||||
Element108 = value;
|
||||
return;
|
||||
case 109:
|
||||
Element109 = value;
|
||||
return;
|
||||
case 110:
|
||||
Element110 = value;
|
||||
return;
|
||||
case 111:
|
||||
Element111 = value;
|
||||
return;
|
||||
case 112:
|
||||
Element112 = value;
|
||||
return;
|
||||
case 113:
|
||||
Element113 = value;
|
||||
return;
|
||||
case 114:
|
||||
Element114 = value;
|
||||
return;
|
||||
case 115:
|
||||
Element115 = value;
|
||||
return;
|
||||
case 116:
|
||||
Element116 = value;
|
||||
return;
|
||||
case 117:
|
||||
Element117 = value;
|
||||
return;
|
||||
case 118:
|
||||
Element118 = value;
|
||||
return;
|
||||
case 119:
|
||||
Element119 = value;
|
||||
return;
|
||||
case 120:
|
||||
Element120 = value;
|
||||
return;
|
||||
case 121:
|
||||
Element121 = value;
|
||||
return;
|
||||
case 122:
|
||||
Element122 = value;
|
||||
return;
|
||||
case 123:
|
||||
Element123 = value;
|
||||
return;
|
||||
case 124:
|
||||
Element124 = value;
|
||||
return;
|
||||
case 125:
|
||||
Element125 = value;
|
||||
return;
|
||||
case 126:
|
||||
Element126 = value;
|
||||
return;
|
||||
case 127:
|
||||
Element127 = value;
|
||||
return;
|
||||
default:
|
||||
// ILGPU kernels cannot throw exceptions, and callers guarantee the index range.
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
internal static ConcurrentDictionary<ulong, byte> OverflowRegistry => OverflowedPrimes;
|
||||
@@ -1962,8 +2630,9 @@ internal static partial class PrimeOrderGpuHeuristics
|
||||
baseValue.MulMod(baseValue, modulus);
|
||||
for (int i = 1; i < oddPowerCount; i++)
|
||||
{
|
||||
oddPowers[i] = oddPowers[i - 1];
|
||||
oddPowers[i].MulMod(baseValue, modulus);
|
||||
GpuUInt128 ladderEntry = oddPowers[i - 1];
|
||||
ladderEntry.MulMod(baseValue, modulus);
|
||||
oddPowers[i] = ladderEntry;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
@@ -17,6 +17,7 @@
|
||||
<ItemGroup>
|
||||
<InternalsVisibleTo Include="EvenPerfectBitScanner.Tests" />
|
||||
<InternalsVisibleTo Include="PerfectNumbers.Core.Tests" />
|
||||
<InternalsVisibleTo Include="ILGPURuntime" />
|
||||
<InternalsVisibleTo Include="HeuristicMultiplyShiftTiming" />
|
||||
<InternalsVisibleTo Include="EvenPerfectBitScanner.Benchmarks" />
|
||||
</ItemGroup>
|
||||
|
||||
@@ -1,6 +1,7 @@
|
||||
using System;
|
||||
using System.Numerics;
|
||||
using System.Runtime.CompilerServices;
|
||||
using ILGPU.Algorithms;
|
||||
using PerfectNumbers.Core.Gpu;
|
||||
|
||||
namespace PerfectNumbers.Core;
|
||||
@@ -679,7 +680,8 @@ public static class ULongExtensions
|
||||
Element127 = value;
|
||||
return;
|
||||
default:
|
||||
throw new ArgumentOutOfRangeException(nameof(index), index, "Pow2OddPowerTable index must be between 0 and 127.");
|
||||
// ILGPU kernels cannot throw exceptions, and callers guarantee the index range.
|
||||
return;
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -1011,7 +1013,7 @@ public static class ULongExtensions
|
||||
return Pow2MontgomeryModSingleBit(exponent, divisor, keepMontgomery);
|
||||
}
|
||||
|
||||
int bitLength = BitOperations.Log2(exponent) + 1;
|
||||
int bitLength = GetPortableBitLength(exponent);
|
||||
int windowSize = GetWindowSize(bitLength);
|
||||
int oddPowerCount = 1 << (windowSize - 1);
|
||||
|
||||
@@ -1093,6 +1095,16 @@ public static class ULongExtensions
|
||||
}
|
||||
|
||||
[MethodImpl(MethodImplOptions.AggressiveInlining)]
|
||||
private static int GetPortableBitLength(ulong value)
|
||||
{
|
||||
if (value == 0UL)
|
||||
{
|
||||
return 0;
|
||||
}
|
||||
|
||||
return 64 - XMath.LeadingZeroCount(value);
|
||||
}
|
||||
|
||||
private static int GetWindowSize(int bitLength)
|
||||
{
|
||||
if (bitLength <= 6)
|
||||
|
||||
Reference in new issue
Block a user