diff options
Diffstat (limited to 'crypto/src/math/raw/Nat256.cs')
-rw-r--r-- | crypto/src/math/raw/Nat256.cs | 474 |
1 files changed, 468 insertions, 6 deletions
diff --git a/crypto/src/math/raw/Nat256.cs b/crypto/src/math/raw/Nat256.cs index 47e0644f6..1bedeb51c 100644 --- a/crypto/src/math/raw/Nat256.cs +++ b/crypto/src/math/raw/Nat256.cs @@ -135,9 +135,9 @@ namespace Org.BouncyCastle.Math.Raw return (uint)c; } - public static uint AddTo(uint[] x, uint[] z) + public static uint AddTo(uint[] x, uint[] z, uint cIn) { - ulong c = 0; + ulong c = cIn; c += (ulong)x[0] + z[0]; z[0] = (uint)c; c >>= 32; @@ -195,6 +195,38 @@ namespace Org.BouncyCastle.Math.Raw return (uint)c; } +#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER + public static uint AddTo(ReadOnlySpan<uint> x, Span<uint> z, uint cIn) + { + ulong c = cIn; + c += (ulong)x[0] + z[0]; + z[0] = (uint)c; + c >>= 32; + c += (ulong)x[1] + z[1]; + z[1] = (uint)c; + c >>= 32; + c += (ulong)x[2] + z[2]; + z[2] = (uint)c; + c >>= 32; + c += (ulong)x[3] + z[3]; + z[3] = (uint)c; + c >>= 32; + c += (ulong)x[4] + z[4]; + z[4] = (uint)c; + c >>= 32; + c += (ulong)x[5] + z[5]; + z[5] = (uint)c; + c >>= 32; + c += (ulong)x[6] + z[6]; + z[6] = (uint)c; + c >>= 32; + c += (ulong)x[7] + z[7]; + z[7] = (uint)c; + c >>= 32; + return (uint)c; + } +#endif + public static uint AddToEachOther(uint[] u, int uOff, uint[] v, int vOff) { ulong c = 0; @@ -370,6 +402,21 @@ namespace Org.BouncyCastle.Math.Raw return true; } +#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER + public static bool Gte(ReadOnlySpan<uint> x, ReadOnlySpan<uint> y) + { + for (int i = 7; i >= 0; --i) + { + uint x_i = x[i], y_i = y[i]; + if (x_i < y_i) + return false; + if (x_i > y_i) + return true; + } + return true; + } +#endif + public static bool IsOne(uint[] x) { if (x[0] != 1) @@ -569,6 +616,223 @@ namespace Org.BouncyCastle.Math.Raw } } +#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER + public static void Mul(ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> zz) + { + ulong y_0 = y[0]; + ulong y_1 = y[1]; + ulong y_2 = y[2]; + ulong y_3 = y[3]; + ulong y_4 = y[4]; + ulong y_5 = y[5]; + ulong y_6 = y[6]; + ulong y_7 = y[7]; + + { + ulong c = 0, x_0 = x[0]; + c += x_0 * y_0; + zz[0] = (uint)c; + c >>= 32; + c += x_0 * y_1; + zz[1] = (uint)c; + c >>= 32; + c += x_0 * y_2; + zz[2] = (uint)c; + c >>= 32; + c += x_0 * y_3; + zz[3] = (uint)c; + c >>= 32; + c += x_0 * y_4; + zz[4] = (uint)c; + c >>= 32; + c += x_0 * y_5; + zz[5] = (uint)c; + c >>= 32; + c += x_0 * y_6; + zz[6] = (uint)c; + c >>= 32; + c += x_0 * y_7; + zz[7] = (uint)c; + c >>= 32; + zz[8] = (uint)c; + } + + for (int i = 1; i < 8; ++i) + { + ulong c = 0, x_i = x[i]; + c += x_i * y_0 + zz[i + 0]; + zz[i + 0] = (uint)c; + c >>= 32; + c += x_i * y_1 + zz[i + 1]; + zz[i + 1] = (uint)c; + c >>= 32; + c += x_i * y_2 + zz[i + 2]; + zz[i + 2] = (uint)c; + c >>= 32; + c += x_i * y_3 + zz[i + 3]; + zz[i + 3] = (uint)c; + c >>= 32; + c += x_i * y_4 + zz[i + 4]; + zz[i + 4] = (uint)c; + c >>= 32; + c += x_i * y_5 + zz[i + 5]; + zz[i + 5] = (uint)c; + c >>= 32; + c += x_i * y_6 + zz[i + 6]; + zz[i + 6] = (uint)c; + c >>= 32; + c += x_i * y_7 + zz[i + 7]; + zz[i + 7] = (uint)c; + c >>= 32; + zz[i + 8] = (uint)c; + } + } +#endif + + public static void Mul128(uint[] x, uint[] y128, uint[] zz) + { + ulong x_0 = x[0]; + ulong x_1 = x[1]; + ulong x_2 = x[2]; + ulong x_3 = x[3]; + ulong x_4 = x[4]; + ulong x_5 = x[5]; + ulong x_6 = x[6]; + ulong x_7 = x[7]; + + { + ulong c = 0, y_0 = y128[0]; + c += y_0 * x_0; + zz[0] = (uint)c; + c >>= 32; + c += y_0 * x_1; + zz[1] = (uint)c; + c >>= 32; + c += y_0 * x_2; + zz[2] = (uint)c; + c >>= 32; + c += y_0 * x_3; + zz[3] = (uint)c; + c >>= 32; + c += y_0 * x_4; + zz[4] = (uint)c; + c >>= 32; + c += y_0 * x_5; + zz[5] = (uint)c; + c >>= 32; + c += y_0 * x_6; + zz[6] = (uint)c; + c >>= 32; + c += y_0 * x_7; + zz[7] = (uint)c; + c >>= 32; + zz[8] = (uint)c; + } + + for (int i = 1; i < 4; ++i) + { + ulong c = 0, y_i = y128[i]; + c += y_i * x_0 + zz[i + 0]; + zz[i + 0] = (uint)c; + c >>= 32; + c += y_i * x_1 + zz[i + 1]; + zz[i + 1] = (uint)c; + c >>= 32; + c += y_i * x_2 + zz[i + 2]; + zz[i + 2] = (uint)c; + c >>= 32; + c += y_i * x_3 + zz[i + 3]; + zz[i + 3] = (uint)c; + c >>= 32; + c += y_i * x_4 + zz[i + 4]; + zz[i + 4] = (uint)c; + c >>= 32; + c += y_i * x_5 + zz[i + 5]; + zz[i + 5] = (uint)c; + c >>= 32; + c += y_i * x_6 + zz[i + 6]; + zz[i + 6] = (uint)c; + c >>= 32; + c += y_i * x_7 + zz[i + 7]; + zz[i + 7] = (uint)c; + c >>= 32; + zz[i + 8] = (uint)c; + } + } + +#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER + public static void Mul128(ReadOnlySpan<uint> x, ReadOnlySpan<uint> y128, Span<uint> zz) + { + ulong x_0 = x[0]; + ulong x_1 = x[1]; + ulong x_2 = x[2]; + ulong x_3 = x[3]; + ulong x_4 = x[4]; + ulong x_5 = x[5]; + ulong x_6 = x[6]; + ulong x_7 = x[7]; + + { + ulong c = 0, y_0 = y128[0]; + c += y_0 * x_0; + zz[0] = (uint)c; + c >>= 32; + c += y_0 * x_1; + zz[1] = (uint)c; + c >>= 32; + c += y_0 * x_2; + zz[2] = (uint)c; + c >>= 32; + c += y_0 * x_3; + zz[3] = (uint)c; + c >>= 32; + c += y_0 * x_4; + zz[4] = (uint)c; + c >>= 32; + c += y_0 * x_5; + zz[5] = (uint)c; + c >>= 32; + c += y_0 * x_6; + zz[6] = (uint)c; + c >>= 32; + c += y_0 * x_7; + zz[7] = (uint)c; + c >>= 32; + zz[8] = (uint)c; + } + + for (int i = 1; i < 4; ++i) + { + ulong c = 0, y_i = y128[i]; + c += y_i * x_0 + zz[i + 0]; + zz[i + 0] = (uint)c; + c >>= 32; + c += y_i * x_1 + zz[i + 1]; + zz[i + 1] = (uint)c; + c >>= 32; + c += y_i * x_2 + zz[i + 2]; + zz[i + 2] = (uint)c; + c >>= 32; + c += y_i * x_3 + zz[i + 3]; + zz[i + 3] = (uint)c; + c >>= 32; + c += y_i * x_4 + zz[i + 4]; + zz[i + 4] = (uint)c; + c >>= 32; + c += y_i * x_5 + zz[i + 5]; + zz[i + 5] = (uint)c; + c >>= 32; + c += y_i * x_6 + zz[i + 6]; + zz[i + 6] = (uint)c; + c >>= 32; + c += y_i * x_7 + zz[i + 7]; + zz[i + 7] = (uint)c; + c >>= 32; + zz[i + 8] = (uint)c; + } + } +#endif + public static uint MulAddTo(uint[] x, uint[] y, uint[] zz) { ulong y_0 = y[0]; @@ -1192,6 +1456,172 @@ namespace Org.BouncyCastle.Math.Raw zz[zzOff + 15] = (w << 1) | c; } +#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER + public static void Square(ReadOnlySpan<uint> x, Span<uint> zz) + { + ulong x_0 = x[0]; + ulong zz_1; + + uint c = 0, w; + { + int i = 7, j = 16; + do + { + ulong xVal = x[i--]; + ulong p = xVal * xVal; + zz[--j] = (c << 31) | (uint)(p >> 33); + zz[--j] = (uint)(p >> 1); + c = (uint)p; + } + while (i > 0); + + { + ulong p = x_0 * x_0; + zz_1 = (ulong)(c << 31) | (p >> 33); + zz[0] = (uint)p; + c = (uint)(p >> 32) & 1; + } + } + + ulong x_1 = x[1]; + ulong zz_2 = zz[2]; + + { + zz_1 += x_1 * x_0; + w = (uint)zz_1; + zz[1] = (w << 1) | c; + c = w >> 31; + zz_2 += zz_1 >> 32; + } + + ulong x_2 = x[2]; + ulong zz_3 = zz[3]; + ulong zz_4 = zz[4]; + { + zz_2 += x_2 * x_0; + w = (uint)zz_2; + zz[2] = (w << 1) | c; + c = w >> 31; + zz_3 += (zz_2 >> 32) + x_2 * x_1; + zz_4 += zz_3 >> 32; + zz_3 &= M; + } + + ulong x_3 = x[3]; + ulong zz_5 = zz[5] + (zz_4 >> 32); zz_4 &= M; + ulong zz_6 = zz[6] + (zz_5 >> 32); zz_5 &= M; + { + zz_3 += x_3 * x_0; + w = (uint)zz_3; + zz[3] = (w << 1) | c; + c = w >> 31; + zz_4 += (zz_3 >> 32) + x_3 * x_1; + zz_5 += (zz_4 >> 32) + x_3 * x_2; + zz_4 &= M; + zz_6 += zz_5 >> 32; + zz_5 &= M; + } + + ulong x_4 = x[4]; + ulong zz_7 = zz[7] + (zz_6 >> 32); zz_6 &= M; + ulong zz_8 = zz[8] + (zz_7 >> 32); zz_7 &= M; + { + zz_4 += x_4 * x_0; + w = (uint)zz_4; + zz[4] = (w << 1) | c; + c = w >> 31; + zz_5 += (zz_4 >> 32) + x_4 * x_1; + zz_6 += (zz_5 >> 32) + x_4 * x_2; + zz_5 &= M; + zz_7 += (zz_6 >> 32) + x_4 * x_3; + zz_6 &= M; + zz_8 += zz_7 >> 32; + zz_7 &= M; + } + + ulong x_5 = x[5]; + ulong zz_9 = zz[9] + (zz_8 >> 32); zz_8 &= M; + ulong zz_10 = zz[10] + (zz_9 >> 32); zz_9 &= M; + { + zz_5 += x_5 * x_0; + w = (uint)zz_5; + zz[5] = (w << 1) | c; + c = w >> 31; + zz_6 += (zz_5 >> 32) + x_5 * x_1; + zz_7 += (zz_6 >> 32) + x_5 * x_2; + zz_6 &= M; + zz_8 += (zz_7 >> 32) + x_5 * x_3; + zz_7 &= M; + zz_9 += (zz_8 >> 32) + x_5 * x_4; + zz_8 &= M; + zz_10 += zz_9 >> 32; + zz_9 &= M; + } + + ulong x_6 = x[6]; + ulong zz_11 = zz[11] + (zz_10 >> 32); zz_10 &= M; + ulong zz_12 = zz[12] + (zz_11 >> 32); zz_11 &= M; + { + zz_6 += x_6 * x_0; + w = (uint)zz_6; + zz[6] = (w << 1) | c; + c = w >> 31; + zz_7 += (zz_6 >> 32) + x_6 * x_1; + zz_8 += (zz_7 >> 32) + x_6 * x_2; + zz_7 &= M; + zz_9 += (zz_8 >> 32) + x_6 * x_3; + zz_8 &= M; + zz_10 += (zz_9 >> 32) + x_6 * x_4; + zz_9 &= M; + zz_11 += (zz_10 >> 32) + x_6 * x_5; + zz_10 &= M; + zz_12 += zz_11 >> 32; + zz_11 &= M; + } + + ulong x_7 = x[7]; + ulong zz_13 = zz[13] + (zz_12 >> 32); zz_12 &= M; + ulong zz_14 = zz[14] + (zz_13 >> 32); zz_13 &= M; + { + zz_7 += x_7 * x_0; + w = (uint)zz_7; + zz[7] = (w << 1) | c; + c = w >> 31; + zz_8 += (zz_7 >> 32) + x_7 * x_1; + zz_9 += (zz_8 >> 32) + x_7 * x_2; + zz_10 += (zz_9 >> 32) + x_7 * x_3; + zz_11 += (zz_10 >> 32) + x_7 * x_4; + zz_12 += (zz_11 >> 32) + x_7 * x_5; + zz_13 += (zz_12 >> 32) + x_7 * x_6; + zz_14 += zz_13 >> 32; + } + + w = (uint)zz_8; + zz[8] = (w << 1) | c; + c = w >> 31; + w = (uint)zz_9; + zz[9] = (w << 1) | c; + c = w >> 31; + w = (uint)zz_10; + zz[10] = (w << 1) | c; + c = w >> 31; + w = (uint)zz_11; + zz[11] = (w << 1) | c; + c = w >> 31; + w = (uint)zz_12; + zz[12] = (w << 1) | c; + c = w >> 31; + w = (uint)zz_13; + zz[13] = (w << 1) | c; + c = w >> 31; + w = (uint)zz_14; + zz[14] = (w << 1) | c; + c = w >> 31; + w = zz[15] + (uint)(zz_14 >> 32); + zz[15] = (w << 1) | c; + } +#endif + public static int Sub(uint[] x, uint[] y, uint[] z) { long c = 0; @@ -1282,9 +1712,9 @@ namespace Org.BouncyCastle.Math.Raw return (int)c; } - public static int SubFrom(uint[] x, uint[] z) + public static int SubFrom(uint[] x, uint[] z, int cIn) { - long c = 0; + long c = cIn; c += (long)z[0] - x[0]; z[0] = (uint)c; c >>= 32; @@ -1312,9 +1742,9 @@ namespace Org.BouncyCastle.Math.Raw return (int)c; } - public static int SubFrom(uint[] x, int xOff, uint[] z, int zOff) + public static int SubFrom(uint[] x, int xOff, uint[] z, int zOff, int cIn) { - long c = 0; + long c = cIn; c += (long)z[zOff + 0] - x[xOff + 0]; z[zOff + 0] = (uint)c; c >>= 32; @@ -1342,6 +1772,38 @@ namespace Org.BouncyCastle.Math.Raw return (int)c; } +#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER + public static int SubFrom(ReadOnlySpan<uint> x, Span<uint> z, int cIn) + { + long c = cIn; + c += (long)z[0] - x[0]; + z[0] = (uint)c; + c >>= 32; + c += (long)z[1] - x[1]; + z[1] = (uint)c; + c >>= 32; + c += (long)z[2] - x[2]; + z[2] = (uint)c; + c >>= 32; + c += (long)z[3] - x[3]; + z[3] = (uint)c; + c >>= 32; + c += (long)z[4] - x[4]; + z[4] = (uint)c; + c >>= 32; + c += (long)z[5] - x[5]; + z[5] = (uint)c; + c >>= 32; + c += (long)z[6] - x[6]; + z[6] = (uint)c; + c >>= 32; + c += (long)z[7] - x[7]; + z[7] = (uint)c; + c >>= 32; + return (int)c; + } +#endif + public static BigInteger ToBigInteger(uint[] x) { byte[] bs = new byte[32]; |