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|
using System;
using System.Diagnostics;
namespace Org.BouncyCastle.Math.EC.Rfc7748
{
[CLSCompliantAttribute(false)]
public abstract class X448Field
{
public const int Size = 16;
private const uint M28 = 0x0FFFFFFFU;
private X448Field() {}
public static void Add(uint[] x, uint[] y, uint[] z)
{
for (int i = 0; i < Size; ++i)
{
z[i] = x[i] + y[i];
}
}
//public static void Apm(int[] x, int[] y, int[] zp, int[] zm)
//{
// for (int i = 0; i < Size; ++i)
// {
// int xi = x[i], yi = y[i];
// zp[i] = xi + yi;
// zm[i] = xi - yi;
// }
//}
public static void Carry(uint[] z)
{
uint z0 = z[0], z1 = z[1], z2 = z[2], z3 = z[3], z4 = z[4], z5 = z[5], z6 = z[6], z7 = z[7];
uint z8 = z[8], z9 = z[9], z10 = z[10], z11 = z[11], z12 = z[12], z13 = z[13], z14 = z[14], z15 = z[15];
z2 += (z1 >> 28); z1 &= M28;
z6 += (z5 >> 28); z5 &= M28;
z10 += (z9 >> 28); z9 &= M28;
z14 += (z13 >> 28); z13 &= M28;
z3 += (z2 >> 28); z2 &= M28;
z7 += (z6 >> 28); z6 &= M28;
z11 += (z10 >> 28); z10 &= M28;
z15 += (z14 >> 28); z14 &= M28;
uint t = z15 >> 28; z15 &= M28;
z0 += t;
z8 += t;
z4 += (z3 >> 28); z3 &= M28;
z8 += (z7 >> 28); z7 &= M28;
z12 += (z11 >> 28); z11 &= M28;
z1 += (z0 >> 28); z0 &= M28;
z5 += (z4 >> 28); z4 &= M28;
z9 += (z8 >> 28); z8 &= M28;
z13 += (z12 >> 28); z12 &= M28;
z[0] = z0; z[1] = z1; z[2] = z2; z[3] = z3; z[4] = z4; z[5] = z5; z[6] = z6; z[7] = z7;
z[8] = z8; z[9] = z9; z[10] = z10; z[11] = z11; z[12] = z12; z[13] = z13; z[14] = z14; z[15] = z15;
}
public static void Copy(uint[] x, int xOff, uint[] z, int zOff)
{
for (int i = 0; i < Size; ++i)
{
z[zOff + i] = x[xOff + i];
}
}
public static uint[] Create()
{
return new uint[Size];
}
public static void CSwap(int swap, uint[] a, uint[] b)
{
Debug.Assert(swap >> 1 == 0);
Debug.Assert(a != b);
uint mask = (uint)(0 - swap);
for (int i = 0; i < Size; ++i)
{
uint ai = a[i], bi = b[i];
uint dummy = mask & (ai ^ bi);
a[i] = ai ^ dummy;
b[i] = bi ^ dummy;
}
}
public static void Decode(byte[] x, int xOff, uint[] z)
{
Decode56(x, xOff, z, 0);
Decode56(x, xOff + 7, z, 2);
Decode56(x, xOff + 14, z, 4);
Decode56(x, xOff + 21, z, 6);
Decode56(x, xOff + 28, z, 8);
Decode56(x, xOff + 35, z, 10);
Decode56(x, xOff + 42, z, 12);
Decode56(x, xOff + 49, z, 14);
}
private static uint Decode24(byte[] bs, int off)
{
uint n = bs[off];
n |= (uint)bs[++off] << 8;
n |= (uint)bs[++off] << 16;
return n;
}
private static uint Decode32(byte[] bs, int off)
{
uint n = bs[off];
n |= (uint)bs[++off] << 8;
n |= (uint)bs[++off] << 16;
n |= (uint)bs[++off] << 24;
return n;
}
private static void Decode56(byte[] bs, int off, uint[] z, int zOff)
{
uint lo = Decode32(bs, off);
uint hi = Decode24(bs, off + 4);
z[zOff] = lo & M28;
z[zOff + 1] = (lo >> 28) | (hi << 4);
}
public static void Encode(uint[] x, byte[] z, int zOff)
{
Encode56(x, 0, z, zOff);
Encode56(x, 2, z, zOff + 7);
Encode56(x, 4, z, zOff + 14);
Encode56(x, 6, z, zOff + 21);
Encode56(x, 8, z, zOff + 28);
Encode56(x, 10, z, zOff + 35);
Encode56(x, 12, z, zOff + 42);
Encode56(x, 14, z, zOff + 49);
}
private static void Encode24(uint n, byte[] bs, int off)
{
bs[ off] = (byte)(n );
bs[++off] = (byte)(n >> 8);
bs[++off] = (byte)(n >> 16);
}
private static void Encode32(uint n, byte[] bs, int off)
{
bs[ off] = (byte)(n );
bs[++off] = (byte)(n >> 8);
bs[++off] = (byte)(n >> 16);
bs[++off] = (byte)(n >> 24);
}
private static void Encode56(uint[] x, int xOff, byte[] bs, int off)
{
uint lo = x[xOff], hi = x[xOff + 1];
Encode32(lo | (hi << 28), bs, off);
Encode24(hi >> 4, bs, off + 4);
}
public static void Inv(uint[] x, uint[] z)
{
// z = x^(p-2) = x^(2^448 - 2^224 - 3)
// (223 1s) (1 0s) (222 1s) (1 0s) (1 1s)
// Addition chain: [1] 2 3 6 9 18 19 37 74 111 [222] [223]
uint[] x2 = Create(); Sqr(x, x2); Mul(x, x2, x2);
uint[] x3 = Create(); Sqr(x2, x3); Mul(x, x3, x3);
uint[] x6 = Create(); Sqr(x3, 3, x6); Mul(x3, x6, x6);
uint[] x9 = Create(); Sqr(x6, 3, x9); Mul(x3, x9, x9);
uint[] x18 = Create(); Sqr(x9, 9, x18); Mul(x9, x18, x18);
uint[] x19 = Create(); Sqr(x18, x19); Mul(x, x19, x19);
uint[] x37 = Create(); Sqr(x19, 18, x37); Mul(x18, x37, x37);
uint[] x74 = Create(); Sqr(x37, 37, x74); Mul(x37, x74, x74);
uint[] x111 = Create(); Sqr(x74, 37, x111); Mul(x37, x111, x111);
uint[] x222 = Create(); Sqr(x111, 111, x222); Mul(x111, x222, x222);
uint[] x223 = Create(); Sqr(x222, x223); Mul(x, x223, x223);
uint[] t = Create();
Sqr(x223, 223, t);
Mul(t, x222, t);
Sqr(t, 2, t);
Mul(t, x, z);
}
public static void Mul(uint[] x, uint y, uint[] z)
{
uint x0 = x[0], x1 = x[1], x2 = x[2], x3 = x[3], x4 = x[4], x5 = x[5], x6 = x[6], x7 = x[7];
uint x8 = x[8], x9 = x[9], x10 = x[10], x11 = x[11], x12 = x[12], x13 = x[13], x14 = x[14], x15 = x[15];
uint z1, z5, z9, z13;
ulong c, d, e, f;
c = (ulong)x1 * y;
z1 = (uint)c & M28; c >>= 28;
d = (ulong)x5 * y;
z5 = (uint)d & M28; d >>= 28;
e = (ulong)x9 * y;
z9 = (uint)e & M28; e >>= 28;
f = (ulong)x13 * y;
z13 = (uint)f & M28; f >>= 28;
c += (ulong)x2 * y;
z[2] = (uint)c & M28; c >>= 28;
d += (ulong)x6 * y;
z[6] = (uint)d & M28; d >>= 28;
e += (ulong)x10 * y;
z[10] = (uint)e & M28; e >>= 28;
f += (ulong)x14 * y;
z[14] = (uint)f & M28; f >>= 28;
c += (ulong)x3 * y;
z[3] = (uint)c & M28; c >>= 28;
d += (ulong)x7 * y;
z[7] = (uint)d & M28; d >>= 28;
e += (ulong)x11 * y;
z[11] = (uint)e & M28; e >>= 28;
f += (ulong)x15 * y;
z[15] = (uint)f & M28; f >>= 28;
d += f;
c += (ulong)x4 * y;
z[4] = (uint)c & M28; c >>= 28;
d += (ulong)x8 * y;
z[8] = (uint)d & M28; d >>= 28;
e += (ulong)x12 * y;
z[12] = (uint)e & M28; e >>= 28;
f += (ulong)x0 * y;
z[0] = (uint)f & M28; f >>= 28;
z[1] = z1 + (uint)f;
z[5] = z5 + (uint)c;
z[9] = z9 + (uint)d;
z[13] = z13 + (uint)e;
}
public static void Mul(uint[] x, uint[] y, uint[] z)
{
uint x0 = x[0];
uint x1 = x[1];
uint x2 = x[2];
uint x3 = x[3];
uint x4 = x[4];
uint x5 = x[5];
uint x6 = x[6];
uint x7 = x[7];
uint u0 = x[8];
uint u1 = x[9];
uint u2 = x[10];
uint u3 = x[11];
uint u4 = x[12];
uint u5 = x[13];
uint u6 = x[14];
uint u7 = x[15];
uint y0 = y[0];
uint y1 = y[1];
uint y2 = y[2];
uint y3 = y[3];
uint y4 = y[4];
uint y5 = y[5];
uint y6 = y[6];
uint y7 = y[7];
uint v0 = y[8];
uint v1 = y[9];
uint v2 = y[10];
uint v3 = y[11];
uint v4 = y[12];
uint v5 = y[13];
uint v6 = y[14];
uint v7 = y[15];
uint s0 = x0 + u0;
uint s1 = x1 + u1;
uint s2 = x2 + u2;
uint s3 = x3 + u3;
uint s4 = x4 + u4;
uint s5 = x5 + u5;
uint s6 = x6 + u6;
uint s7 = x7 + u7;
uint t0 = y0 + v0;
uint t1 = y1 + v1;
uint t2 = y2 + v2;
uint t3 = y3 + v3;
uint t4 = y4 + v4;
uint t5 = y5 + v5;
uint t6 = y6 + v6;
uint t7 = y7 + v7;
uint z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, z13, z14, z15;
ulong c, d;
ulong f0 = (ulong)x0 * y0;
ulong f8 = (ulong)x7 * y1
+ (ulong)x6 * y2
+ (ulong)x5 * y3
+ (ulong)x4 * y4
+ (ulong)x3 * y5
+ (ulong)x2 * y6
+ (ulong)x1 * y7;
ulong g0 = (ulong)u0 * v0;
ulong g8 = (ulong)u7 * v1
+ (ulong)u6 * v2
+ (ulong)u5 * v3
+ (ulong)u4 * v4
+ (ulong)u3 * v5
+ (ulong)u2 * v6
+ (ulong)u1 * v7;
ulong h0 = (ulong)s0 * t0;
ulong h8 = (ulong)s7 * t1
+ (ulong)s6 * t2
+ (ulong)s5 * t3
+ (ulong)s4 * t4
+ (ulong)s3 * t5
+ (ulong)s2 * t6
+ (ulong)s1 * t7;
c = f0 + g0 + h8 - f8;
z0 = (uint)c & M28; c >>= 28;
d = g8 + h0 - f0 + h8;
z8 = (uint)d & M28; d >>= 28;
ulong f1 = (ulong)x1 * y0
+ (ulong)x0 * y1;
ulong f9 = (ulong)x7 * y2
+ (ulong)x6 * y3
+ (ulong)x5 * y4
+ (ulong)x4 * y5
+ (ulong)x3 * y6
+ (ulong)x2 * y7;
ulong g1 = (ulong)u1 * v0
+ (ulong)u0 * v1;
ulong g9 = (ulong)u7 * v2
+ (ulong)u6 * v3
+ (ulong)u5 * v4
+ (ulong)u4 * v5
+ (ulong)u3 * v6
+ (ulong)u2 * v7;
ulong h1 = (ulong)s1 * t0
+ (ulong)s0 * t1;
ulong h9 = (ulong)s7 * t2
+ (ulong)s6 * t3
+ (ulong)s5 * t4
+ (ulong)s4 * t5
+ (ulong)s3 * t6
+ (ulong)s2 * t7;
c += f1 + g1 + h9 - f9;
z1 = (uint)c & M28; c >>= 28;
d += g9 + h1 - f1 + h9;
z9 = (uint)d & M28; d >>= 28;
ulong f2 = (ulong)x2 * y0
+ (ulong)x1 * y1
+ (ulong)x0 * y2;
ulong f10 = (ulong)x7 * y3
+ (ulong)x6 * y4
+ (ulong)x5 * y5
+ (ulong)x4 * y6
+ (ulong)x3 * y7;
ulong g2 = (ulong)u2 * v0
+ (ulong)u1 * v1
+ (ulong)u0 * v2;
ulong g10 = (ulong)u7 * v3
+ (ulong)u6 * v4
+ (ulong)u5 * v5
+ (ulong)u4 * v6
+ (ulong)u3 * v7;
ulong h2 = (ulong)s2 * t0
+ (ulong)s1 * t1
+ (ulong)s0 * t2;
ulong h10 = (ulong)s7 * t3
+ (ulong)s6 * t4
+ (ulong)s5 * t5
+ (ulong)s4 * t6
+ (ulong)s3 * t7;
c += f2 + g2 + h10 - f10;
z2 = (uint)c & M28; c >>= 28;
d += g10 + h2 - f2 + h10;
z10 = (uint)d & M28; d >>= 28;
ulong f3 = (ulong)x3 * y0
+ (ulong)x2 * y1
+ (ulong)x1 * y2
+ (ulong)x0 * y3;
ulong f11 = (ulong)x7 * y4
+ (ulong)x6 * y5
+ (ulong)x5 * y6
+ (ulong)x4 * y7;
ulong g3 = (ulong)u3 * v0
+ (ulong)u2 * v1
+ (ulong)u1 * v2
+ (ulong)u0 * v3;
ulong g11 = (ulong)u7 * v4
+ (ulong)u6 * v5
+ (ulong)u5 * v6
+ (ulong)u4 * v7;
ulong h3 = (ulong)s3 * t0
+ (ulong)s2 * t1
+ (ulong)s1 * t2
+ (ulong)s0 * t3;
ulong h11 = (ulong)s7 * t4
+ (ulong)s6 * t5
+ (ulong)s5 * t6
+ (ulong)s4 * t7;
c += f3 + g3 + h11 - f11;
z3 = (uint)c & M28; c >>= 28;
d += g11 + h3 - f3 + h11;
z11 = (uint)d & M28; d >>= 28;
ulong f4 = (ulong)x4 * y0
+ (ulong)x3 * y1
+ (ulong)x2 * y2
+ (ulong)x1 * y3
+ (ulong)x0 * y4;
ulong f12 = (ulong)x7 * y5
+ (ulong)x6 * y6
+ (ulong)x5 * y7;
ulong g4 = (ulong)u4 * v0
+ (ulong)u3 * v1
+ (ulong)u2 * v2
+ (ulong)u1 * v3
+ (ulong)u0 * v4;
ulong g12 = (ulong)u7 * v5
+ (ulong)u6 * v6
+ (ulong)u5 * v7;
ulong h4 = (ulong)s4 * t0
+ (ulong)s3 * t1
+ (ulong)s2 * t2
+ (ulong)s1 * t3
+ (ulong)s0 * t4;
ulong h12 = (ulong)s7 * t5
+ (ulong)s6 * t6
+ (ulong)s5 * t7;
c += f4 + g4 + h12 - f12;
z4 = (uint)c & M28; c >>= 28;
d += g12 + h4 - f4 + h12;
z12 = (uint)d & M28; d >>= 28;
ulong f5 = (ulong)x5 * y0
+ (ulong)x4 * y1
+ (ulong)x3 * y2
+ (ulong)x2 * y3
+ (ulong)x1 * y4
+ (ulong)x0 * y5;
ulong f13 = (ulong)x7 * y6
+ (ulong)x6 * y7;
ulong g5 = (ulong)u5 * v0
+ (ulong)u4 * v1
+ (ulong)u3 * v2
+ (ulong)u2 * v3
+ (ulong)u1 * v4
+ (ulong)u0 * v5;
ulong g13 = (ulong)u7 * v6
+ (ulong)u6 * v7;
ulong h5 = (ulong)s5 * t0
+ (ulong)s4 * t1
+ (ulong)s3 * t2
+ (ulong)s2 * t3
+ (ulong)s1 * t4
+ (ulong)s0 * t5;
ulong h13 = (ulong)s7 * t6
+ (ulong)s6 * t7;
c += f5 + g5 + h13 - f13;
z5 = (uint)c & M28; c >>= 28;
d += g13 + h5 - f5 + h13;
z13 = (uint)d & M28; d >>= 28;
ulong f6 = (ulong)x6 * y0
+ (ulong)x5 * y1
+ (ulong)x4 * y2
+ (ulong)x3 * y3
+ (ulong)x2 * y4
+ (ulong)x1 * y5
+ (ulong)x0 * y6;
ulong f14 = (ulong)x7 * y7;
ulong g6 = (ulong)u6 * v0
+ (ulong)u5 * v1
+ (ulong)u4 * v2
+ (ulong)u3 * v3
+ (ulong)u2 * v4
+ (ulong)u1 * v5
+ (ulong)u0 * v6;
ulong g14 = (ulong)u7 * v7;
ulong h6 = (ulong)s6 * t0
+ (ulong)s5 * t1
+ (ulong)s4 * t2
+ (ulong)s3 * t3
+ (ulong)s2 * t4
+ (ulong)s1 * t5
+ (ulong)s0 * t6;
ulong h14 = (ulong)s7 * t7;
c += f6 + g6 + h14 - f14;
z6 = (uint)c & M28; c >>= 28;
d += g14 + h6 - f6 + h14;
z14 = (uint)d & M28; d >>= 28;
ulong f7 = (ulong)x7 * y0
+ (ulong)x6 * y1
+ (ulong)x5 * y2
+ (ulong)x4 * y3
+ (ulong)x3 * y4
+ (ulong)x2 * y5
+ (ulong)x1 * y6
+ (ulong)x0 * y7;
ulong g7 = (ulong)u7 * v0
+ (ulong)u6 * v1
+ (ulong)u5 * v2
+ (ulong)u4 * v3
+ (ulong)u3 * v4
+ (ulong)u2 * v5
+ (ulong)u1 * v6
+ (ulong)u0 * v7;
ulong h7 = (ulong)s7 * t0
+ (ulong)s6 * t1
+ (ulong)s5 * t2
+ (ulong)s4 * t3
+ (ulong)s3 * t4
+ (ulong)s2 * t5
+ (ulong)s1 * t6
+ (ulong)s0 * t7;
c += f7 + g7;
z7 = (uint)c & M28; c >>= 28;
d += h7 - f7;
z15 = (uint)d & M28; d >>= 28;
c += d;
c += z8;
z8 = (uint)c & M28; c >>= 28;
d += z0;
z0 = (uint)d & M28; d >>= 28;
z9 += (uint)c;
z1 += (uint)d;
z[0] = z0;
z[1] = z1;
z[2] = z2;
z[3] = z3;
z[4] = z4;
z[5] = z5;
z[6] = z6;
z[7] = z7;
z[8] = z8;
z[9] = z9;
z[10] = z10;
z[11] = z11;
z[12] = z12;
z[13] = z13;
z[14] = z14;
z[15] = z15;
}
public static void Normalize(uint[] z)
{
//int x = (z[15] >> (28 - 1)) & 1;
Reduce(z, 1);
Reduce(z, -1);
Debug.Assert(z[15] >> 28 == 0U);
}
private static void Reduce(uint[] z, int c)
{
uint z15 = z[15];
long t = z15;
z15 &= M28;
t = (t >> 28) + c;
z[8] += (uint)t;
for (int i = 0; i < 15; ++i)
{
t += z[i]; z[i] = (uint)t & M28; t >>= 28;
}
z[15] = z15 + (uint)t;
}
public static void Sqr(uint[] x, uint[] z)
{
uint x0 = x[0];
uint x1 = x[1];
uint x2 = x[2];
uint x3 = x[3];
uint x4 = x[4];
uint x5 = x[5];
uint x6 = x[6];
uint x7 = x[7];
uint u0 = x[8];
uint u1 = x[9];
uint u2 = x[10];
uint u3 = x[11];
uint u4 = x[12];
uint u5 = x[13];
uint u6 = x[14];
uint u7 = x[15];
uint x0_2 = x0 * 2;
uint x1_2 = x1 * 2;
uint x2_2 = x2 * 2;
uint x3_2 = x3 * 2;
uint x4_2 = x4 * 2;
uint x5_2 = x5 * 2;
uint x6_2 = x6 * 2;
uint u0_2 = u0 * 2;
uint u1_2 = u1 * 2;
uint u2_2 = u2 * 2;
uint u3_2 = u3 * 2;
uint u4_2 = u4 * 2;
uint u5_2 = u5 * 2;
uint u6_2 = u6 * 2;
uint s0 = x0 + u0;
uint s1 = x1 + u1;
uint s2 = x2 + u2;
uint s3 = x3 + u3;
uint s4 = x4 + u4;
uint s5 = x5 + u5;
uint s6 = x6 + u6;
uint s7 = x7 + u7;
uint s0_2 = s0 * 2;
uint s1_2 = s1 * 2;
uint s2_2 = s2 * 2;
uint s3_2 = s3 * 2;
uint s4_2 = s4 * 2;
uint s5_2 = s5 * 2;
uint s6_2 = s6 * 2;
uint z0, z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, z13, z14, z15;
ulong c, d;
ulong f0 = (ulong)x0 * x0;
ulong f8 = (ulong)x7 * x1_2
+ (ulong)x6 * x2_2
+ (ulong)x5 * x3_2
+ (ulong)x4 * x4;
ulong g0 = (ulong)u0 * u0;
ulong g8 = (ulong)u7 * u1_2
+ (ulong)u6 * u2_2
+ (ulong)u5 * u3_2
+ (ulong)u4 * u4;
ulong h0 = (ulong)s0 * s0;
ulong h8 = (ulong)s7 * s1_2
+ (ulong)s6 * s2_2
+ (ulong)s5 * s3_2
+ (ulong)s4 * s4;
c = f0 + g0 + h8 - f8;
z0 = (uint)c & M28; c >>= 28;
d = g8 + h0 - f0 + h8;
z8 = (uint)d & M28; d >>= 28;
ulong f1 = (ulong)x1 * x0_2;
ulong f9 = (ulong)x7 * x2_2
+ (ulong)x6 * x3_2
+ (ulong)x5 * x4_2;
ulong g1 = (ulong)u1 * u0_2;
ulong g9 = (ulong)u7 * u2_2
+ (ulong)u6 * u3_2
+ (ulong)u5 * u4_2;
ulong h1 = (ulong)s1 * s0_2;
ulong h9 = (ulong)s7 * s2_2
+ (ulong)s6 * s3_2
+ (ulong)s5 * s4_2;
c += f1 + g1 + h9 - f9;
z1 = (uint)c & M28; c >>= 28;
d += g9 + h1 - f1 + h9;
z9 = (uint)d & M28; d >>= 28;
ulong f2 = (ulong)x2 * x0_2
+ (ulong)x1 * x1;
ulong f10 = (ulong)x7 * x3_2
+ (ulong)x6 * x4_2
+ (ulong)x5 * x5;
ulong g2 = (ulong)u2 * u0_2
+ (ulong)u1 * u1;
ulong g10 = (ulong)u7 * u3_2
+ (ulong)u6 * u4_2
+ (ulong)u5 * u5;
ulong h2 = (ulong)s2 * s0_2
+ (ulong)s1 * s1;
ulong h10 = (ulong)s7 * s3_2
+ (ulong)s6 * s4_2
+ (ulong)s5 * s5;
c += f2 + g2 + h10 - f10;
z2 = (uint)c & M28; c >>= 28;
d += g10 + h2 - f2 + h10;
z10 = (uint)d & M28; d >>= 28;
ulong f3 = (ulong)x3 * x0_2
+ (ulong)x2 * x1_2;
ulong f11 = (ulong)x7 * x4_2
+ (ulong)x6 * x5_2;
ulong g3 = (ulong)u3 * u0_2
+ (ulong)u2 * u1_2;
ulong g11 = (ulong)u7 * u4_2
+ (ulong)u6 * u5_2;
ulong h3 = (ulong)s3 * s0_2
+ (ulong)s2 * s1_2;
ulong h11 = (ulong)s7 * s4_2
+ (ulong)s6 * s5_2;
c += f3 + g3 + h11 - f11;
z3 = (uint)c & M28; c >>= 28;
d += g11 + h3 - f3 + h11;
z11 = (uint)d & M28; d >>= 28;
ulong f4 = (ulong)x4 * x0_2
+ (ulong)x3 * x1_2
+ (ulong)x2 * x2;
ulong f12 = (ulong)x7 * x5_2
+ (ulong)x6 * x6;
ulong g4 = (ulong)u4 * u0_2
+ (ulong)u3 * u1_2
+ (ulong)u2 * u2;
ulong g12 = (ulong)u7 * u5_2
+ (ulong)u6 * u6;
ulong h4 = (ulong)s4 * s0_2
+ (ulong)s3 * s1_2
+ (ulong)s2 * s2;
ulong h12 = (ulong)s7 * s5_2
+ (ulong)s6 * s6;
c += f4 + g4 + h12 - f12;
z4 = (uint)c & M28; c >>= 28;
d += g12 + h4 - f4 + h12;
z12 = (uint)d & M28; d >>= 28;
ulong f5 = (ulong)x5 * x0_2
+ (ulong)x4 * x1_2
+ (ulong)x3 * x2_2;
ulong f13 = (ulong)x7 * x6_2;
ulong g5 = (ulong)u5 * u0_2
+ (ulong)u4 * u1_2
+ (ulong)u3 * u2_2;
ulong g13 = (ulong)u7 * u6_2;
ulong h5 = (ulong)s5 * s0_2
+ (ulong)s4 * s1_2
+ (ulong)s3 * s2_2;
ulong h13 = (ulong)s7 * s6_2;
c += f5 + g5 + h13 - f13;
z5 = (uint)c & M28; c >>= 28;
d += g13 + h5 - f5 + h13;
z13 = (uint)d & M28; d >>= 28;
ulong f6 = (ulong)x6 * x0_2
+ (ulong)x5 * x1_2
+ (ulong)x4 * x2_2
+ (ulong)x3 * x3;
ulong f14 = (ulong)x7 * x7;
ulong g6 = (ulong)u6 * u0_2
+ (ulong)u5 * u1_2
+ (ulong)u4 * u2_2
+ (ulong)u3 * u3;
ulong g14 = (ulong)u7 * u7;
ulong h6 = (ulong)s6 * s0_2
+ (ulong)s5 * s1_2
+ (ulong)s4 * s2_2
+ (ulong)s3 * s3;
ulong h14 = (ulong)s7 * s7;
c += f6 + g6 + h14 - f14;
z6 = (uint)c & M28; c >>= 28;
d += g14 + h6 - f6 + h14;
z14 = (uint)d & M28; d >>= 28;
ulong f7 = (ulong)x7 * x0_2
+ (ulong)x6 * x1_2
+ (ulong)x5 * x2_2
+ (ulong)x4 * x3_2;
ulong g7 = (ulong)u7 * u0_2
+ (ulong)u6 * u1_2
+ (ulong)u5 * u2_2
+ (ulong)u4 * u3_2;
ulong h7 = (ulong)s7 * s0_2
+ (ulong)s6 * s1_2
+ (ulong)s5 * s2_2
+ (ulong)s4 * s3_2;
c += f7 + g7;
z7 = (uint)c & M28; c >>= 28;
d += h7 - f7;
z15 = (uint)d & M28; d >>= 28;
c += d;
c += z8;
z8 = (uint)c & M28; c >>= 28;
d += z0;
z0 = (uint)d & M28; d >>= 28;
z9 += (uint)c;
z1 += (uint)d;
z[0] = z0;
z[1] = z1;
z[2] = z2;
z[3] = z3;
z[4] = z4;
z[5] = z5;
z[6] = z6;
z[7] = z7;
z[8] = z8;
z[9] = z9;
z[10] = z10;
z[11] = z11;
z[12] = z12;
z[13] = z13;
z[14] = z14;
z[15] = z15;
}
public static void Sqr(uint[] x, int n, uint[] z)
{
Debug.Assert(n > 0);
Sqr(x, z);
while (--n > 0)
{
Sqr(z, z);
}
}
public static void Sub(uint[] x, uint[] y, uint[] z)
{
uint x0 = x[0], x1 = x[1], x2 = x[2], x3 = x[3], x4 = x[4], x5 = x[5], x6 = x[6], x7 = x[7];
uint x8 = x[8], x9 = x[9], x10 = x[10], x11 = x[11], x12 = x[12], x13 = x[13], x14 = x[14], x15 = x[15];
uint y0 = y[0], y1 = y[1], y2 = y[2], y3 = y[3], y4 = y[4], y5 = y[5], y6 = y[6], y7 = y[7];
uint y8 = y[8], y9 = y[9], y10 = y[10], y11 = y[11], y12 = y[12], y13 = y[13], y14 = y[14], y15 = y[15];
uint z0 = x0 + 0x1FFFFFFEU - y0;
uint z1 = x1 + 0x1FFFFFFEU - y1;
uint z2 = x2 + 0x1FFFFFFEU - y2;
uint z3 = x3 + 0x1FFFFFFEU - y3;
uint z4 = x4 + 0x1FFFFFFEU - y4;
uint z5 = x5 + 0x1FFFFFFEU - y5;
uint z6 = x6 + 0x1FFFFFFEU - y6;
uint z7 = x7 + 0x1FFFFFFEU - y7;
uint z8 = x8 + 0x1FFFFFFCU - y8;
uint z9 = x9 + 0x1FFFFFFEU - y9;
uint z10 = x10 + 0x1FFFFFFEU - y10;
uint z11 = x11 + 0x1FFFFFFEU - y11;
uint z12 = x12 + 0x1FFFFFFEU - y12;
uint z13 = x13 + 0x1FFFFFFEU - y13;
uint z14 = x14 + 0x1FFFFFFEU - y14;
uint z15 = x15 + 0x1FFFFFFEU - y15;
z2 += z1 >> 28; z1 &= M28;
z6 += z5 >> 28; z5 &= M28;
z10 += z9 >> 28; z9 &= M28;
z14 += z13 >> 28; z13 &= M28;
z3 += z2 >> 28; z2 &= M28;
z7 += z6 >> 28; z6 &= M28;
z11 += z10 >> 28; z10 &= M28;
z15 += z14 >> 28; z14 &= M28;
uint t = z15 >> 28; z15 &= M28;
z0 += t;
z8 += t;
z4 += z3 >> 28; z3 &= M28;
z8 += z7 >> 28; z7 &= M28;
z12 += z11 >> 28; z11 &= M28;
z1 += z0 >> 28; z0 &= M28;
z5 += z4 >> 28; z4 &= M28;
z9 += z8 >> 28; z8 &= M28;
z13 += z12 >> 28; z12 &= M28;
z[0] = z0;
z[1] = z1;
z[2] = z2;
z[3] = z3;
z[4] = z4;
z[5] = z5;
z[6] = z6;
z[7] = z7;
z[8] = z8;
z[9] = z9;
z[10] = z10;
z[11] = z11;
z[12] = z12;
z[13] = z13;
z[14] = z14;
z[15] = z15;
}
}
}
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