338 lines
9.8 KiB
C#
338 lines
9.8 KiB
C#
#if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
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using System;
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using System.Diagnostics;
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using Org.BouncyCastle.Math.Raw;
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namespace Org.BouncyCastle.Math.EC.Custom.Sec
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{
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internal class SecT571Field
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{
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private const ulong M59 = ulong.MaxValue >> 5;
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private const ulong RM = 0xEF7BDEF7BDEF7BDEUL;
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private static readonly ulong[] ROOT_Z = new ulong[]{ 0x2BE1195F08CAFB99UL, 0x95F08CAF84657C23UL, 0xCAF84657C232BE11UL, 0x657C232BE1195F08UL,
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0xF84657C2308CAF84UL, 0x7C232BE1195F08CAUL, 0xBE1195F08CAF8465UL, 0x5F08CAF84657C232UL, 0x784657C232BE119UL };
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public static void Add(ulong[] x, ulong[] y, ulong[] z)
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{
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for (int i = 0; i < 9; ++i)
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{
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z[i] = x[i] ^ y[i];
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}
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}
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private static void Add(ulong[] x, int xOff, ulong[] y, int yOff, ulong[] z, int zOff)
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{
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for (int i = 0; i < 9; ++i)
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{
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z[zOff + i] = x[xOff + i] ^ y[yOff + i];
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}
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}
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private static void AddBothTo(ulong[] x, int xOff, ulong[] y, int yOff, ulong[] z, int zOff)
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{
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for (int i = 0; i < 9; ++i)
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{
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z[zOff + i] ^= x[xOff + i] ^ y[yOff + i];
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}
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}
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public static void AddExt(ulong[] xx, ulong[] yy, ulong[] zz)
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{
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for (int i = 0; i < 18; ++i)
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{
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zz[i] = xx[i] ^ yy[i];
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}
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}
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public static void AddOne(ulong[] x, ulong[] z)
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{
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z[0] = x[0] ^ 1UL;
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for (int i = 1; i < 9; ++i)
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{
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z[i] = x[i];
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}
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}
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public static ulong[] FromBigInteger(BigInteger x)
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{
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ulong[] z = Nat576.FromBigInteger64(x);
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Reduce5(z, 0);
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return z;
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}
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public static void Invert(ulong[] x, ulong[] z)
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{
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if (Nat576.IsZero64(x))
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throw new InvalidOperationException();
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// Itoh-Tsujii inversion with bases { 2, 3, 5 }
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ulong[] t0 = Nat576.Create64();
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ulong[] t1 = Nat576.Create64();
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ulong[] t2 = Nat576.Create64();
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Square(x, t2);
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// 5 | 570
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Square(t2, t0);
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Square(t0, t1);
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Multiply(t0, t1, t0);
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SquareN(t0, 2, t1);
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Multiply(t0, t1, t0);
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Multiply(t0, t2, t0);
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// 3 | 114
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SquareN(t0, 5, t1);
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Multiply(t0, t1, t0);
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SquareN(t1, 5, t1);
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Multiply(t0, t1, t0);
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// 2 | 38
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SquareN(t0, 15, t1);
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Multiply(t0, t1, t2);
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// ! {2,3,5} | 19
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SquareN(t2, 30, t0);
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SquareN(t0, 30, t1);
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Multiply(t0, t1, t0);
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// 3 | 9
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SquareN(t0, 60, t1);
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Multiply(t0, t1, t0);
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SquareN(t1, 60, t1);
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Multiply(t0, t1, t0);
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// 3 | 3
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SquareN(t0, 180, t1);
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Multiply(t0, t1, t0);
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SquareN(t1, 180, t1);
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Multiply(t0, t1, t0);
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Multiply(t0, t2, z);
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}
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public static void Multiply(ulong[] x, ulong[] y, ulong[] z)
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{
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ulong[] tt = Nat576.CreateExt64();
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ImplMultiply(x, y, tt);
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Reduce(tt, z);
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}
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public static void MultiplyAddToExt(ulong[] x, ulong[] y, ulong[] zz)
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{
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ulong[] tt = Nat576.CreateExt64();
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ImplMultiply(x, y, tt);
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AddExt(zz, tt, zz);
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}
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public static void Reduce(ulong[] xx, ulong[] z)
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{
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ulong xx09 = xx[9];
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ulong u = xx[17], v = xx09;
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xx09 = v ^ (u >> 59) ^ (u >> 57) ^ (u >> 54) ^ (u >> 49);
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v = xx[8] ^ (u << 5) ^ (u << 7) ^ (u << 10) ^ (u << 15);
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for (int i = 16; i >= 10; --i)
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{
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u = xx[i];
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z[i - 8] = v ^ (u >> 59) ^ (u >> 57) ^ (u >> 54) ^ (u >> 49);
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v = xx[i - 9] ^ (u << 5) ^ (u << 7) ^ (u << 10) ^ (u << 15);
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}
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u = xx09;
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z[1] = v ^ (u >> 59) ^ (u >> 57) ^ (u >> 54) ^ (u >> 49);
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v = xx[0] ^ (u << 5) ^ (u << 7) ^ (u << 10) ^ (u << 15);
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ulong x08 = z[8];
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ulong t = x08 >> 59;
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z[0] = v ^ t ^ (t << 2) ^ (t << 5) ^ (t << 10);
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z[8] = x08 & M59;
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}
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public static void Reduce5(ulong[] z, int zOff)
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{
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ulong z8 = z[zOff + 8], t = z8 >> 59;
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z[zOff ] ^= t ^ (t << 2) ^ (t << 5) ^ (t << 10);
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z[zOff + 8] = z8 & M59;
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}
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public static void Sqrt(ulong[] x, ulong[] z)
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{
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ulong[] evn = Nat576.Create64(), odd = Nat576.Create64();
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int pos = 0;
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for (int i = 0; i < 4; ++i)
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{
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ulong u0 = Interleave.Unshuffle(x[pos++]);
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ulong u1 = Interleave.Unshuffle(x[pos++]);
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evn[i] = (u0 & 0x00000000FFFFFFFFUL) | (u1 << 32);
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odd[i] = (u0 >> 32) | (u1 & 0xFFFFFFFF00000000UL);
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}
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{
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ulong u0 = Interleave.Unshuffle(x[pos]);
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evn[4] = (u0 & 0x00000000FFFFFFFFUL);
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odd[4] = (u0 >> 32);
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}
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Multiply(odd, ROOT_Z, z);
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Add(z, evn, z);
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}
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public static void Square(ulong[] x, ulong[] z)
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{
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ulong[] tt = Nat576.CreateExt64();
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ImplSquare(x, tt);
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Reduce(tt, z);
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}
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public static void SquareAddToExt(ulong[] x, ulong[] zz)
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{
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ulong[] tt = Nat576.CreateExt64();
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ImplSquare(x, tt);
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AddExt(zz, tt, zz);
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}
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public static void SquareN(ulong[] x, int n, ulong[] z)
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{
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Debug.Assert(n > 0);
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ulong[] tt = Nat576.CreateExt64();
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ImplSquare(x, tt);
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Reduce(tt, z);
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while (--n > 0)
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{
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ImplSquare(z, tt);
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Reduce(tt, z);
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}
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}
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public static uint Trace(ulong[] x)
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{
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// Non-zero-trace bits: 0, 561, 569
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return (uint)(x[0] ^ (x[8] >> 49) ^ (x[8] >> 57)) & 1U;
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}
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protected static void ImplMultiply(ulong[] x, ulong[] y, ulong[] zz)
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{
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//for (int i = 0; i < 9; ++i)
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//{
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// ImplMulwAcc(x, y[i], zz, i);
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//}
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/*
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* Precompute table of all 4-bit products of y
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*/
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ulong[] T0 = new ulong[9 << 4];
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Array.Copy(y, 0, T0, 9, 9);
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// Reduce5(T0, 9);
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int tOff = 0;
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for (int i = 7; i > 0; --i)
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{
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tOff += 18;
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Nat.ShiftUpBit64(9, T0, tOff >> 1, 0UL, T0, tOff);
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Reduce5(T0, tOff);
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Add(T0, 9, T0, tOff, T0, tOff + 9);
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}
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/*
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* Second table with all 4-bit products of B shifted 4 bits
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*/
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ulong[] T1 = new ulong[T0.Length];
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Nat.ShiftUpBits64(T0.Length, T0, 0, 4, 0L, T1, 0);
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uint MASK = 0xF;
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/*
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* Lopez-Dahab algorithm
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*/
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for (int k = 56; k >= 0; k -= 8)
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{
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for (int j = 1; j < 9; j += 2)
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{
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uint aVal = (uint)(x[j] >> k);
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uint u = aVal & MASK;
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uint v = (aVal >> 4) & MASK;
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AddBothTo(T0, (int)(9 * u), T1, (int)(9 * v), zz, j - 1);
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}
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Nat.ShiftUpBits64(16, zz, 0, 8, 0L);
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}
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for (int k = 56; k >= 0; k -= 8)
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{
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for (int j = 0; j < 9; j += 2)
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{
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uint aVal = (uint)(x[j] >> k);
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uint u = aVal & MASK;
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uint v = (aVal >> 4) & MASK;
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AddBothTo(T0, (int)(9 * u), T1, (int)(9 * v), zz, j);
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}
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if (k > 0)
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{
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Nat.ShiftUpBits64(18, zz, 0, 8, 0L);
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}
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}
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}
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protected static void ImplMulwAcc(ulong[] xs, ulong y, ulong[] z, int zOff)
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{
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ulong[] u = new ulong[32];
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//u[0] = 0;
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u[1] = y;
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for (int i = 2; i < 32; i += 2)
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{
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u[i ] = u[i >> 1] << 1;
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u[i + 1] = u[i ] ^ y;
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}
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ulong l = 0;
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for (int i = 0; i < 9; ++i)
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{
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ulong x = xs[i];
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uint j = (uint)x;
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l ^= u[j & 31];
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ulong g, h = 0;
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int k = 60;
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do
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{
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j = (uint)(x >> k);
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g = u[j & 31];
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l ^= (g << k);
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h ^= (g >> -k);
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}
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while ((k -= 5) > 0);
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for (int p = 0; p < 4; ++p)
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{
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x = (x & RM) >> 1;
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h ^= x & (ulong)(((long)y << p) >> 63);
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}
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z[zOff + i] ^= l;
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l = h;
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}
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z[zOff + 9] ^= l;
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}
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protected static void ImplSquare(ulong[] x, ulong[] zz)
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{
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for (int i = 0; i < 9; ++i)
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{
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Interleave.Expand64To128(x[i], zz, i << 1);
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}
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}
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}
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}
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#endif
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