thewar_client/Client/Assets/Best HTTP/Source/SecureProtocol/math/raw/Nat.cs

2906 lines
88 KiB
C#

#if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
#pragma warning disable
using System;
using System.Diagnostics;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Crypto.Utilities;
namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.Raw
{
internal abstract class Nat
{
private const ulong M = 0xFFFFFFFFUL;
public static uint Add(int len, uint[] x, uint[] y, uint[] z)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + y[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint Add(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + y[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#endif
public static uint Add33At(int len, uint x, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
ulong c = (ulong)z[zPos + 0] + x;
z[zPos + 0] = (uint)c;
c >>= 32;
c += (ulong)z[zPos + 1] + 1;
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 2);
}
public static uint Add33At(int len, uint x, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= (len - 2));
ulong c = (ulong)z[zOff + zPos] + x;
z[zOff + zPos] = (uint)c;
c >>= 32;
c += (ulong)z[zOff + zPos + 1] + 1;
z[zOff + zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zOff, zPos + 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint Add33At(int len, uint x, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
ulong c = (ulong)z[zPos + 0] + x;
z[zPos + 0] = (uint)c;
c >>= 32;
c += (ulong)z[zPos + 1] + 1;
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 2);
}
#endif
public static uint Add33To(int len, uint x, uint[] z)
{
ulong c = (ulong)z[0] + x;
z[0] = (uint)c;
c >>= 32;
c += (ulong)z[1] + 1;
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, 2);
}
public static uint Add33To(int len, uint x, uint[] z, int zOff)
{
ulong c = (ulong)z[zOff + 0] + x;
z[zOff + 0] = (uint)c;
c >>= 32;
c += (ulong)z[zOff + 1] + 1;
z[zOff + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zOff, 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint Add33To(int len, uint x, Span<uint> z)
{
ulong c = (ulong)z[0] + x;
z[0] = (uint)c;
c >>= 32;
c += (ulong)z[1] + 1;
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, 2);
}
#endif
public static uint AddBothTo(int len, uint[] x, uint[] y, uint[] z)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + y[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
public static uint AddBothTo(int len, uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[xOff + i] + y[yOff + i] + z[zOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddBothTo(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + y[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#endif
public static uint AddDWordAt(int len, ulong x, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
ulong c = z[zPos + 0] + (x & M);
z[zPos + 0] = (uint)c;
c >>= 32;
c += z[zPos + 1] + (x >> 32);
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 2);
}
public static uint AddDWordAt(int len, ulong x, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= (len - 2));
ulong c = z[zOff + zPos] + (x & M);
z[zOff + zPos] = (uint)c;
c >>= 32;
c += z[zOff + zPos + 1] + (x >> 32);
z[zOff + zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zOff, zPos + 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddDWordAt(int len, ulong x, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
ulong c = z[zPos + 0] + (x & M);
z[zPos + 0] = (uint)c;
c >>= 32;
c += z[zPos + 1] + (x >> 32);
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 2);
}
#endif
public static uint AddDWordTo(int len, ulong x, uint[] z)
{
ulong c = (ulong)z[0] + (x & M);
z[0] = (uint)c;
c >>= 32;
c += (ulong)z[1] + (x >> 32);
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, 2);
}
public static uint AddDWordTo(int len, ulong x, uint[] z, int zOff)
{
ulong c = (ulong)z[zOff + 0] + (x & M);
z[zOff + 0] = (uint)c;
c >>= 32;
c += (ulong)z[zOff + 1] + (x >> 32);
z[zOff + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zOff, 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddDWordTo(int len, ulong x, Span<uint> z)
{
ulong c = z[0] + (x & M);
z[0] = (uint)c;
c >>= 32;
c += z[1] + (x >> 32);
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, 2);
}
#endif
public static uint AddTo(int len, uint[] x, uint[] z)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
public static uint AddTo(int len, uint[] x, int xOff, uint[] z, int zOff)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[xOff + i] + z[zOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddTo(int len, ReadOnlySpan<uint> x, Span<uint> z)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#endif
public static uint AddTo(int len, uint[] x, int xOff, uint[] z, int zOff, uint cIn)
{
ulong c = cIn;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[xOff + i] + z[zOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddTo(int len, ReadOnlySpan<uint> x, Span<uint> z, uint cIn)
{
ulong c = cIn;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#endif
public static uint AddToEachOther(int len, uint[] u, int uOff, uint[] v, int vOff)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)u[uOff + i] + v[vOff + i];
u[uOff + i] = (uint)c;
v[vOff + i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddToEachOther(int len, Span<uint> u, Span<uint> v)
{
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)u[i] + v[i];
u[i] = (uint)c;
v[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#endif
public static uint AddWordAt(int len, uint x, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 1));
ulong c = (ulong)x + z[zPos];
z[zPos] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 1);
}
public static uint AddWordAt(int len, uint x, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= (len - 1));
ulong c = (ulong)x + z[zOff + zPos];
z[zOff + zPos] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zOff, zPos + 1);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddWordAt(int len, uint x, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 1));
ulong c = (ulong)x + z[zPos];
z[zPos] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 1);
}
#endif
public static uint AddWordTo(int len, uint x, uint[] z)
{
ulong c = (ulong)x + z[0];
z[0] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, 1);
}
public static uint AddWordTo(int len, uint x, uint[] z, int zOff)
{
ulong c = (ulong)x + z[zOff];
z[zOff] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zOff, 1);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint AddWordTo(int len, uint x, Span<uint> z)
{
ulong c = (ulong)x + z[0];
z[0] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, 1);
}
#endif
public static uint CAdd(int len, int mask, uint[] x, uint[] y, uint[] z)
{
uint MASK = (uint)-(mask & 1);
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + (y[i] & MASK);
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint CAdd(int len, int mask, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
uint MASK = (uint)-(mask & 1);
ulong c = 0;
for (int i = 0; i < len; ++i)
{
c += (ulong)x[i] + (y[i] & MASK);
z[i] = (uint)c;
c >>= 32;
}
return (uint)c;
}
#endif
public static void CMov(int len, int mask, uint[] x, int xOff, uint[] z, int zOff)
{
uint MASK = (uint)-(mask & 1);
for (int i = 0; i < len; ++i)
{
uint z_i = z[zOff + i], diff = z_i ^ x[xOff + i];
z_i ^= diff & MASK;
z[zOff + i] = z_i;
}
//uint half = 0x55555555U, rest = half << (-(int)MASK);
//for (int i = 0; i < len; ++i)
//{
// uint z_i = z[zOff + i], diff = z_i ^ x[xOff + i];
// z_i ^= (diff & half);
// z_i ^= (diff & rest);
// z[zOff + i] = z_i;
//}
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void CMov(int len, int mask, ReadOnlySpan<uint> x, Span<uint> z)
{
uint MASK = (uint)-(mask & 1);
for (int i = 0; i < len; ++i)
{
uint z_i = z[i], diff = z_i ^ x[i];
z_i ^= diff & MASK;
z[i] = z_i;
}
//uint half = 0x55555555U, rest = half << (-(int)MASK);
//for (int i = 0; i < len; ++i)
//{
// uint z_i = z[i], diff = z_i ^ x[i];
// z_i ^= (diff & half);
// z_i ^= (diff & rest);
// z[i] = z_i;
//}
}
#endif
public static int Compare(int len, uint[] x, uint[] y)
{
for (int i = len - 1; i >= 0; --i)
{
uint x_i = x[i];
uint y_i = y[i];
if (x_i < y_i)
return -1;
if (x_i > y_i)
return 1;
}
return 0;
}
public static int Compare(int len, uint[] x, int xOff, uint[] y, int yOff)
{
for (int i = len - 1; i >= 0; --i)
{
uint x_i = x[xOff + i];
uint y_i = y[yOff + i];
if (x_i < y_i)
return -1;
if (x_i > y_i)
return 1;
}
return 0;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int Compare(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y)
{
for (int i = len - 1; i >= 0; --i)
{
uint x_i = x[i];
uint y_i = y[i];
if (x_i < y_i)
return -1;
if (x_i > y_i)
return 1;
}
return 0;
}
#endif
public static uint[] Copy(int len, uint[] x)
{
uint[] z = new uint[len];
Array.Copy(x, 0, z, 0, len);
return z;
}
public static void Copy(int len, uint[] x, uint[] z)
{
Array.Copy(x, 0, z, 0, len);
}
public static void Copy(int len, uint[] x, int xOff, uint[] z, int zOff)
{
Array.Copy(x, xOff, z, zOff, len);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Copy(int len, ReadOnlySpan<uint> x, Span<uint> z)
{
x[..len].CopyTo(z);
}
#endif
public static ulong[] Copy64(int len, ulong[] x)
{
ulong[] z = new ulong[len];
Array.Copy(x, 0, z, 0, len);
return z;
}
public static void Copy64(int len, ulong[] x, ulong[] z)
{
Array.Copy(x, 0, z, 0, len);
}
public static void Copy64(int len, ulong[] x, int xOff, ulong[] z, int zOff)
{
Array.Copy(x, xOff, z, zOff, len);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Copy64(int len, ReadOnlySpan<ulong> x, Span<ulong> z)
{
x[..len].CopyTo(z);
}
#endif
public static uint[] Create(int len)
{
return new uint[len];
}
public static ulong[] Create64(int len)
{
return new ulong[len];
}
public static int CSub(int len, int mask, uint[] x, uint[] y, uint[] z)
{
long MASK = (uint)-(mask & 1);
long c = 0;
for (int i = 0; i < len; ++i)
{
c += x[i] - (y[i] & MASK);
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
public static int CSub(int len, int mask, uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff)
{
long MASK = (uint)-(mask & 1);
long c = 0;
for (int i = 0; i < len; ++i)
{
c += x[xOff + i] - (y[yOff + i] & MASK);
z[zOff + i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int CSub(int len, int mask, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
long MASK = (uint)-(mask & 1);
long c = 0;
for (int i = 0; i < len; ++i)
{
c += x[i] - (y[i] & MASK);
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#endif
public static int Dec(int len, uint[] z)
{
for (int i = 0; i < len; ++i)
{
if (--z[i] != uint.MaxValue)
return 0;
}
return -1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int Dec(int len, Span<uint> z)
{
for (int i = 0; i < len; ++i)
{
if (--z[i] != uint.MaxValue)
return 0;
}
return -1;
}
#endif
public static int Dec(int len, uint[] x, uint[] z)
{
int i = 0;
while (i < len)
{
uint c = x[i] - 1;
z[i] = c;
++i;
if (c != uint.MaxValue)
{
while (i < len)
{
z[i] = x[i];
++i;
}
return 0;
}
}
return -1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int Dec(int len, ReadOnlySpan<uint> x, Span<uint> z)
{
int i = 0;
while (i < len)
{
uint c = x[i] - 1;
z[i] = c;
++i;
if (c != uint.MaxValue)
{
while (i < len)
{
z[i] = x[i];
++i;
}
return 0;
}
}
return -1;
}
#endif
public static int DecAt(int len, uint[] z, int zPos)
{
Debug.Assert(zPos <= len);
for (int i = zPos; i < len; ++i)
{
if (--z[i] != uint.MaxValue)
return 0;
}
return -1;
}
public static int DecAt(int len, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= len);
for (int i = zPos; i < len; ++i)
{
if (--z[zOff + i] != uint.MaxValue)
return 0;
}
return -1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int DecAt(int len, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= len);
for (int i = zPos; i < len; ++i)
{
if (--z[i] != uint.MaxValue)
return 0;
}
return -1;
}
#endif
public static bool Eq(int len, uint[] x, uint[] y)
{
for (int i = len - 1; i >= 0; --i)
{
if (x[i] != y[i])
return false;
}
return true;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static bool Eq(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y)
{
for (int i = len - 1; i >= 0; --i)
{
if (x[i] != y[i])
return false;
}
return true;
}
#endif
public static uint EqualTo(int len, uint[] x, uint y)
{
uint d = x[0] ^ y;
for (int i = 1; i < len; ++i)
{
d |= x[i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
public static uint EqualTo(int len, uint[] x, int xOff, uint y)
{
uint d = x[xOff] ^ y;
for (int i = 1; i < len; ++i)
{
d |= x[xOff + i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint EqualTo(int len, ReadOnlySpan<uint> x, uint y)
{
uint d = x[0] ^ y;
for (int i = 1; i < len; ++i)
{
d |= x[i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
#endif
public static uint EqualTo(int len, uint[] x, uint[] y)
{
uint d = 0;
for (int i = 0; i < len; ++i)
{
d |= x[i] ^ y[i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
public static uint EqualTo(int len, uint[] x, int xOff, uint[] y, int yOff)
{
uint d = 0;
for (int i = 0; i < len; ++i)
{
d |= x[xOff + i] ^ y[yOff + i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint EqualTo(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y)
{
uint d = 0;
for (int i = 0; i < len; ++i)
{
d |= x[i] ^ y[i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
#endif
public static uint EqualToZero(int len, uint[] x)
{
uint d = 0;
for (int i = 0; i < len; ++i)
{
d |= x[i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
public static uint EqualToZero(int len, uint[] x, int xOff)
{
uint d = 0;
for (int i = 0; i < len; ++i)
{
d |= x[xOff + i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint EqualToZero(int len, ReadOnlySpan<uint> x)
{
uint d = 0;
for (int i = 0; i < len; ++i)
{
d |= x[i];
}
d = (d >> 1) | (d & 1);
return (uint)(((int)d - 1) >> 31);
}
#endif
public static uint[] FromBigInteger(int bits, BigInteger x)
{
int len = GetLengthForBits(bits);
if (x.SignValue < 0 || x.BitLength > bits)
throw new ArgumentException();
uint[] z = Create(len);
// NOTE: Use a fixed number of loop iterations
z[0] = (uint)x.IntValue;
for (int i = 1; i < len; ++i)
{
x = x.ShiftRight(32);
z[i] = (uint)x.IntValue;
}
return z;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void FromBigInteger(int bits, BigInteger x, Span<uint> z)
{
int len = GetLengthForBits(bits);
if (x.SignValue < 0 || x.BitLength > bits)
throw new ArgumentException();
if (z.Length < len)
throw new ArgumentException();
// NOTE: Use a fixed number of loop iterations
z[0] = (uint)x.IntValue;
for (int i = 1; i < len; ++i)
{
x = x.ShiftRight(32);
z[i] = (uint)x.IntValue;
}
}
#endif
public static ulong[] FromBigInteger64(int bits, BigInteger x)
{
int len = GetLengthForBits64(bits);
if (x.SignValue < 0 || x.BitLength > bits)
throw new ArgumentException();
ulong[] z = Create64(len);
// NOTE: Use a fixed number of loop iterations
z[0] = (ulong)x.LongValue;
for (int i = 1; i < len; ++i)
{
x = x.ShiftRight(64);
z[i] = (ulong)x.LongValue;
}
return z;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void FromBigInteger64(int bits, BigInteger x, Span<ulong> z)
{
int len = GetLengthForBits64(bits);
if (x.SignValue < 0 || x.BitLength > bits)
throw new ArgumentException();
if (z.Length < len)
throw new ArgumentException();
// NOTE: Use a fixed number of loop iterations
z[0] = (ulong)x.LongValue;
for (int i = 1; i < len; ++i)
{
x = x.ShiftRight(64);
z[i] = (ulong)x.LongValue;
}
}
#endif
public static uint GetBit(uint[] x, int bit)
{
if (bit == 0)
return x[0] & 1;
int w = bit >> 5;
if (w < 0 || w >= x.Length)
return 0;
int b = bit & 31;
return (x[w] >> b) & 1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint GetBit(ReadOnlySpan<uint> x, int bit)
{
if (bit == 0)
return x[0] & 1;
int w = bit >> 5;
if (w < 0 || w >= x.Length)
return 0;
int b = bit & 31;
return (x[w] >> b) & 1;
}
#endif
public static int GetLengthForBits(int bits)
{
if (bits < 1)
throw new ArgumentException();
return (int)(((uint)bits + 31) >> 5);
}
public static int GetLengthForBits64(int bits)
{
if (bits < 1)
throw new ArgumentException();
return (int)(((uint)bits + 63) >> 6);
}
public static bool Gte(int len, uint[] x, uint[] y)
{
for (int i = len - 1; 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;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static bool Gte(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y)
{
for (int i = len - 1; 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 uint Inc(int len, uint[] z)
{
for (int i = 0; i < len; ++i)
{
if (++z[i] != uint.MinValue)
return 0;
}
return 1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint Inc(int len, Span<uint> z)
{
for (int i = 0; i < len; ++i)
{
if (++z[i] != uint.MinValue)
return 0;
}
return 1;
}
#endif
public static uint Inc(int len, uint[] x, uint[] z)
{
int i = 0;
while (i < len)
{
uint c = x[i] + 1;
z[i] = c;
++i;
if (c != 0)
{
while (i < len)
{
z[i] = x[i];
++i;
}
return 0;
}
}
return 1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint Inc(int len, ReadOnlySpan<uint> x, Span<uint> z)
{
int i = 0;
while (i < len)
{
uint c = x[i] + 1;
z[i] = c;
++i;
if (c != 0)
{
while (i < len)
{
z[i] = x[i];
++i;
}
return 0;
}
}
return 1;
}
#endif
public static uint IncAt(int len, uint[] z, int zPos)
{
Debug.Assert(zPos <= len);
for (int i = zPos; i < len; ++i)
{
if (++z[i] != uint.MinValue)
return 0;
}
return 1;
}
public static uint IncAt(int len, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= len);
for (int i = zPos; i < len; ++i)
{
if (++z[zOff + i] != uint.MinValue)
return 0;
}
return 1;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint IncAt(int len, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= len);
for (int i = zPos; i < len; ++i)
{
if (++z[i] != uint.MinValue)
return 0;
}
return 1;
}
#endif
public static bool IsOne(int len, uint[] x)
{
if (x[0] != 1)
return false;
for (int i = 1; i < len; ++i)
{
if (x[i] != 0)
return false;
}
return true;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static bool IsOne(int len, ReadOnlySpan<uint> x)
{
if (x[0] != 1)
return false;
for (int i = 1; i < len; ++i)
{
if (x[i] != 0)
return false;
}
return true;
}
#endif
public static bool IsZero(int len, uint[] x)
{
if (x[0] != 0)
return false;
for (int i = 1; i < len; ++i)
{
if (x[i] != 0)
return false;
}
return true;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static bool IsZero(int len, ReadOnlySpan<uint> x)
{
if (x[0] != 0)
return false;
for (int i = 1; i < len; ++i)
{
if (x[i] != 0)
return false;
}
return true;
}
#endif
public static int LessThan(int len, uint[] x, uint[] y)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)x[i] - y[i];
c >>= 32;
}
Debug.Assert(c == 0L || c == -1L);
return (int)c;
}
public static int LessThan(int len, uint[] x, int xOff, uint[] y, int yOff)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)x[xOff + i] - y[yOff + i];
c >>= 32;
}
Debug.Assert(c == 0L || c == -1L);
return (int)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int LessThan(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)x[i] - y[i];
c >>= 32;
}
Debug.Assert(c == 0L || c == -1L);
return (int)c;
}
#endif
public static void Mul(int len, uint[] x, uint[] y, uint[] zz)
{
zz[len] = MulWord(len, x[0], y, zz);
for (int i = 1; i < len; ++i)
{
zz[i + len] = MulWordAddTo(len, x[i], y, 0, zz, i);
}
}
public static void Mul(int len, uint[] x, int xOff, uint[] y, int yOff, uint[] zz, int zzOff)
{
zz[zzOff + len] = MulWord(len, x[xOff], y, yOff, zz, zzOff);
for (int i = 1; i < len; ++i)
{
zz[zzOff + i + len] = MulWordAddTo(len, x[xOff + i], y, yOff, zz, zzOff + i);
}
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Mul(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> zz)
{
zz[len] = MulWord(len, x[0], y, zz);
for (int i = 1; i < len; ++i)
{
zz[i + len] = MulWordAddTo(len, x[i], y, zz[i..]);
}
}
#endif
public static void Mul(uint[] x, int xOff, int xLen, uint[] y, int yOff, int yLen, uint[] zz, int zzOff)
{
zz[zzOff + yLen] = MulWord(yLen, x[xOff], y, yOff, zz, zzOff);
for (int i = 1; i < xLen; ++i)
{
zz[zzOff + i + yLen] = MulWordAddTo(yLen, x[xOff + i], y, yOff, zz, zzOff + i);
}
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Mul(ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> zz)
{
int xLen = x.Length, yLen = y.Length;
zz[yLen] = MulWord(yLen, x[0], y, zz);
for (int i = 1; i < xLen; ++i)
{
zz[i + yLen] = MulWordAddTo(yLen, x[i], y, zz[i..]);
}
}
#endif
public static uint MulAddTo(int len, uint[] x, uint[] y, uint[] zz)
{
ulong zc = 0;
for (int i = 0; i < len; ++i)
{
zc += MulWordAddTo(len, x[i], y, 0, zz, i) & M;
zc += zz[i + len] & M;
zz[i + len] = (uint)zc;
zc >>= 32;
}
return (uint)zc;
}
public static uint MulAddTo(int len, uint[] x, int xOff, uint[] y, int yOff, uint[] zz, int zzOff)
{
ulong zc = 0;
for (int i = 0; i < len; ++i)
{
zc += MulWordAddTo(len, x[xOff + i], y, yOff, zz, zzOff) & M;
zc += zz[zzOff + len] & M;
zz[zzOff + len] = (uint)zc;
zc >>= 32;
++zzOff;
}
return (uint)zc;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint MulAddTo(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> zz)
{
ulong zc = 0;
for (int i = 0; i < len; ++i)
{
zc += MulWordAddTo(len, x[i], y, zz[i..]) & M;
zc += zz[i + len] & M;
zz[i + len] = (uint)zc;
zc >>= 32;
}
return (uint)zc;
}
#endif
public static uint Mul31BothAdd(int len, uint a, uint[] x, uint b, uint[] y, uint[] z, int zOff)
{
ulong c = 0, aVal = a, bVal = b;
int i = 0;
do
{
c += aVal * x[i] + bVal * y[i] + z[zOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint Mul31BothAdd(int len, uint a, ReadOnlySpan<uint> x, uint b, ReadOnlySpan<uint> y,
Span<uint> z)
{
ulong c = 0, aVal = a, bVal = b;
int i = 0;
do
{
c += aVal * x[i] + bVal * y[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
#endif
public static uint MulWord(int len, uint x, uint[] y, uint[] z)
{
ulong c = 0, xVal = x;
int i = 0;
do
{
c += xVal * y[i];
z[i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
public static uint MulWord(int len, uint x, uint[] y, int yOff, uint[] z, int zOff)
{
ulong c = 0, xVal = x;
int i = 0;
do
{
c += xVal * y[yOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint MulWord(int len, uint x, ReadOnlySpan<uint> y, Span<uint> z)
{
ulong c = 0, xVal = x;
int i = 0;
do
{
c += xVal * y[i];
z[i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
#endif
public static uint MulWordAddTo(int len, uint x, uint[] y, int yOff, uint[] z, int zOff)
{
ulong c = 0, xVal = x;
int i = 0;
do
{
c += xVal * y[yOff + i] + z[zOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint MulWordAddTo(int len, uint x, ReadOnlySpan<uint> y, Span<uint> z)
{
ulong c = 0, xVal = x;
int i = 0;
do
{
c += xVal * y[i] + z[i];
z[i] = (uint)c;
c >>= 32;
}
while (++i < len);
return (uint)c;
}
#endif
public static uint MulWordDwordAddAt(int len, uint x, ulong y, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 3));
ulong c = 0, xVal = x;
c += xVal * (uint)y + z[zPos + 0];
z[zPos + 0] = (uint)c;
c >>= 32;
c += xVal * (y >> 32) + z[zPos + 1];
z[zPos + 1] = (uint)c;
c >>= 32;
c += z[zPos + 2];
z[zPos + 2] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 3);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint MulWordDwordAddAt(int len, uint x, ulong y, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 3));
ulong c = 0, xVal = x;
c += xVal * (uint)y + z[zPos + 0];
z[zPos + 0] = (uint)c;
c >>= 32;
c += xVal * (y >> 32) + z[zPos + 1];
z[zPos + 1] = (uint)c;
c >>= 32;
c += z[zPos + 2];
z[zPos + 2] = (uint)c;
c >>= 32;
return c == 0 ? 0 : IncAt(len, z, zPos + 3);
}
#endif
public static uint ShiftDownBit(int len, uint[] z, uint c)
{
int i = len;
while (--i >= 0)
{
uint next = z[i];
z[i] = (next >> 1) | (c << 31);
c = next;
}
return c << 31;
}
public static uint ShiftDownBit(int len, uint[] z, int zOff, uint c)
{
int i = len;
while (--i >= 0)
{
uint next = z[zOff + i];
z[zOff + i] = (next >> 1) | (c << 31);
c = next;
}
return c << 31;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftDownBit(int len, Span<uint> z, uint c)
{
int i = len;
while (--i >= 0)
{
uint next = z[i];
z[i] = (next >> 1) | (c << 31);
c = next;
}
return c << 31;
}
#endif
public static uint ShiftDownBit(int len, uint[] x, uint c, uint[] z)
{
int i = len;
while (--i >= 0)
{
uint next = x[i];
z[i] = (next >> 1) | (c << 31);
c = next;
}
return c << 31;
}
public static uint ShiftDownBit(int len, uint[] x, int xOff, uint c, uint[] z, int zOff)
{
int i = len;
while (--i >= 0)
{
uint next = x[xOff + i];
z[zOff + i] = (next >> 1) | (c << 31);
c = next;
}
return c << 31;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftDownBit(int len, ReadOnlySpan<uint> x, uint c, Span<uint> z)
{
int i = len;
while (--i >= 0)
{
uint next = x[i];
z[i] = (next >> 1) | (c << 31);
c = next;
}
return c << 31;
}
#endif
public static uint ShiftDownBits(int len, uint[] z, int bits, uint c)
{
Debug.Assert(bits > 0 && bits < 32);
int i = len;
while (--i >= 0)
{
uint next = z[i];
z[i] = (next >> bits) | (c << -bits);
c = next;
}
return c << -bits;
}
public static uint ShiftDownBits(int len, uint[] z, int zOff, int bits, uint c)
{
Debug.Assert(bits > 0 && bits < 32);
int i = len;
while (--i >= 0)
{
uint next = z[zOff + i];
z[zOff + i] = (next >> bits) | (c << -bits);
c = next;
}
return c << -bits;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftDownBits(int len, Span<uint> z, int bits, uint c)
{
Debug.Assert(bits > 0 && bits < 32);
int i = len;
while (--i >= 0)
{
uint next = z[i];
z[i] = (next >> bits) | (c << -bits);
c = next;
}
return c << -bits;
}
#endif
public static uint ShiftDownBits(int len, uint[] x, int bits, uint c, uint[] z)
{
Debug.Assert(bits > 0 && bits < 32);
int i = len;
while (--i >= 0)
{
uint next = x[i];
z[i] = (next >> bits) | (c << -bits);
c = next;
}
return c << -bits;
}
public static uint ShiftDownBits(int len, uint[] x, int xOff, int bits, uint c, uint[] z, int zOff)
{
Debug.Assert(bits > 0 && bits < 32);
int i = len;
while (--i >= 0)
{
uint next = x[xOff + i];
z[zOff + i] = (next >> bits) | (c << -bits);
c = next;
}
return c << -bits;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftDownBits(int len, ReadOnlySpan<uint> x, int bits, uint c, Span<uint> z)
{
Debug.Assert(bits > 0 && bits < 32);
int i = len;
while (--i >= 0)
{
uint next = x[i];
z[i] = (next >> bits) | (c << -bits);
c = next;
}
return c << -bits;
}
#endif
public static uint ShiftDownWord(int len, uint[] z, uint c)
{
int i = len;
while (--i >= 0)
{
uint next = z[i];
z[i] = c;
c = next;
}
return c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftDownWord(int len, Span<uint> z, uint c)
{
int i = len;
while (--i >= 0)
{
uint next = z[i];
z[i] = c;
c = next;
}
return c;
}
#endif
public static uint ShiftUpBit(int len, uint[] z, uint c)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBit(len, z.AsSpan(0, len), c);
#else
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = z[i + 0];
uint next1 = z[i + 1];
uint next2 = z[i + 2];
uint next3 = z[i + 3];
z[i + 0] = (next0 << 1) | (c >> 31);
z[i + 1] = (next1 << 1) | (next0 >> 31);
z[i + 2] = (next2 << 1) | (next1 >> 31);
z[i + 3] = (next3 << 1) | (next2 >> 31);
c = next3;
i += 4;
}
while (i < len)
{
uint next = z[i];
z[i] = (next << 1) | (c >> 31);
c = next;
++i;
}
return c >> 31;
#endif
}
public static uint ShiftUpBit(int len, uint[] z, int zOff, uint c)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBit(len, z.AsSpan(zOff, len), c);
#else
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = z[zOff + i + 0];
uint next1 = z[zOff + i + 1];
uint next2 = z[zOff + i + 2];
uint next3 = z[zOff + i + 3];
z[zOff + i + 0] = (next0 << 1) | (c >> 31);
z[zOff + i + 1] = (next1 << 1) | (next0 >> 31);
z[zOff + i + 2] = (next2 << 1) | (next1 >> 31);
z[zOff + i + 3] = (next3 << 1) | (next2 >> 31);
c = next3;
i += 4;
}
while (i < len)
{
uint next = z[zOff + i];
z[zOff + i] = (next << 1) | (c >> 31);
c = next;
++i;
}
return c >> 31;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftUpBit(int len, Span<uint> z, uint c)
{
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = z[i + 0];
uint next1 = z[i + 1];
uint next2 = z[i + 2];
uint next3 = z[i + 3];
z[i + 0] = (next0 << 1) | (c >> 31);
z[i + 1] = (next1 << 1) | (next0 >> 31);
z[i + 2] = (next2 << 1) | (next1 >> 31);
z[i + 3] = (next3 << 1) | (next2 >> 31);
c = next3;
i += 4;
}
while (i < len)
{
uint next = z[i];
z[i] = (next << 1) | (c >> 31);
c = next;
++i;
}
return c >> 31;
}
#endif
public static uint ShiftUpBit(int len, uint[] x, uint c, uint[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBit(len, x.AsSpan(0, len), c, z.AsSpan(0, len));
#else
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = x[i + 0];
uint next1 = x[i + 1];
uint next2 = x[i + 2];
uint next3 = x[i + 3];
z[i + 0] = (next0 << 1) | (c >> 31);
z[i + 1] = (next1 << 1) | (next0 >> 31);
z[i + 2] = (next2 << 1) | (next1 >> 31);
z[i + 3] = (next3 << 1) | (next2 >> 31);
c = next3;
i += 4;
}
while (i < len)
{
uint next = x[i];
z[i] = (next << 1) | (c >> 31);
c = next;
++i;
}
return c >> 31;
#endif
}
public static uint ShiftUpBit(int len, uint[] x, int xOff, uint c, uint[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBit(len, x.AsSpan(xOff, len), c, z.AsSpan(zOff, len));
#else
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = x[xOff + i + 0];
uint next1 = x[xOff + i + 1];
uint next2 = x[xOff + i + 2];
uint next3 = x[xOff + i + 3];
z[zOff + i + 0] = (next0 << 1) | (c >> 31);
z[zOff + i + 1] = (next1 << 1) | (next0 >> 31);
z[zOff + i + 2] = (next2 << 1) | (next1 >> 31);
z[zOff + i + 3] = (next3 << 1) | (next2 >> 31);
c = next3;
i += 4;
}
while (i < len)
{
uint next = x[xOff + i];
z[zOff + i] = (next << 1) | (c >> 31);
c = next;
++i;
}
return c >> 31;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftUpBit(int len, ReadOnlySpan<uint> x, uint c, Span<uint> z)
{
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = x[i + 0];
uint next1 = x[i + 1];
uint next2 = x[i + 2];
uint next3 = x[i + 3];
z[i + 0] = (next0 << 1) | (c >> 31);
z[i + 1] = (next1 << 1) | (next0 >> 31);
z[i + 2] = (next2 << 1) | (next1 >> 31);
z[i + 3] = (next3 << 1) | (next2 >> 31);
c = next3;
i += 4;
}
while (i < len)
{
uint next = x[i];
z[i] = (next << 1) | (c >> 31);
c = next;
++i;
}
return c >> 31;
}
#endif
public static ulong ShiftUpBit64(int len, ulong[] x, ulong c, ulong[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBit64(len, x.AsSpan(0, len), c, z.AsSpan(0, len));
#else
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = x[i + 0];
ulong next1 = x[i + 1];
ulong next2 = x[i + 2];
ulong next3 = x[i + 3];
z[i + 0] = (next0 << 1) | (c >> 63);
z[i + 1] = (next1 << 1) | (next0 >> 63);
z[i + 2] = (next2 << 1) | (next1 >> 63);
z[i + 3] = (next3 << 1) | (next2 >> 63);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = x[i];
z[i] = (next << 1) | (c >> 63);
c = next;
++i;
}
return c >> 63;
#endif
}
public static ulong ShiftUpBit64(int len, ulong[] x, int xOff, ulong c, ulong[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBit64(len, x.AsSpan(xOff, len), c, z.AsSpan(zOff, len));
#else
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = x[xOff + i + 0];
ulong next1 = x[xOff + i + 1];
ulong next2 = x[xOff + i + 2];
ulong next3 = x[xOff + i + 3];
z[zOff + i + 0] = (next0 << 1) | (c >> 63);
z[zOff + i + 1] = (next1 << 1) | (next0 >> 63);
z[zOff + i + 2] = (next2 << 1) | (next1 >> 63);
z[zOff + i + 3] = (next3 << 1) | (next2 >> 63);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = x[xOff + i];
z[zOff + i] = (next << 1) | (c >> 63);
c = next;
++i;
}
return c >> 63;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static ulong ShiftUpBit64(int len, ReadOnlySpan<ulong> x, ulong c, Span<ulong> z)
{
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = x[i + 0];
ulong next1 = x[i + 1];
ulong next2 = x[i + 2];
ulong next3 = x[i + 3];
z[i + 0] = (next0 << 1) | (c >> 63);
z[i + 1] = (next1 << 1) | (next0 >> 63);
z[i + 2] = (next2 << 1) | (next1 >> 63);
z[i + 3] = (next3 << 1) | (next2 >> 63);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = x[i];
z[i] = (next << 1) | (c >> 63);
c = next;
++i;
}
return c >> 63;
}
#endif
public static uint ShiftUpBits(int len, uint[] z, int bits, uint c)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits(len, z.AsSpan(0, len), bits, c);
#else
Debug.Assert(bits > 0 && bits < 32);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = z[i + 0];
uint next1 = z[i + 1];
uint next2 = z[i + 2];
uint next3 = z[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
uint next = z[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
public static uint ShiftUpBits(int len, uint[] z, int zOff, int bits, uint c)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits(len, z.AsSpan(zOff, len), bits, c);
#else
Debug.Assert(bits > 0 && bits < 32);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = z[zOff + i + 0];
uint next1 = z[zOff + i + 1];
uint next2 = z[zOff + i + 2];
uint next3 = z[zOff + i + 3];
z[zOff + i + 0] = (next0 << bits) | (c >> -bits);
z[zOff + i + 1] = (next1 << bits) | (next0 >> -bits);
z[zOff + i + 2] = (next2 << bits) | (next1 >> -bits);
z[zOff + i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
uint next = z[zOff + i];
z[zOff + i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftUpBits(int len, Span<uint> z, int bits, uint c)
{
Debug.Assert(bits > 0 && bits < 32);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = z[i + 0];
uint next1 = z[i + 1];
uint next2 = z[i + 2];
uint next3 = z[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
uint next = z[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
}
#endif
public static uint ShiftUpBits(int len, uint[] x, int bits, uint c, uint[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits(len, x.AsSpan(0, len), bits, c, z.AsSpan(0, len));
#else
Debug.Assert(bits > 0 && bits < 32);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = x[i + 0];
uint next1 = x[i + 1];
uint next2 = x[i + 2];
uint next3 = x[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
uint next = x[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
public static uint ShiftUpBits(int len, uint[] x, int xOff, int bits, uint c, uint[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits(len, x.AsSpan(xOff, len), bits, c, z.AsSpan(zOff, len));
#else
Debug.Assert(bits > 0 && bits < 32);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = x[xOff + i + 0];
uint next1 = x[xOff + i + 1];
uint next2 = x[xOff + i + 2];
uint next3 = x[xOff + i + 3];
z[zOff + i + 0] = (next0 << bits) | (c >> -bits);
z[zOff + i + 1] = (next1 << bits) | (next0 >> -bits);
z[zOff + i + 2] = (next2 << bits) | (next1 >> -bits);
z[zOff + i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
uint next = x[xOff + i];
z[zOff + i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint ShiftUpBits(int len, ReadOnlySpan<uint> x, int bits, uint c, Span<uint> z)
{
Debug.Assert(bits > 0 && bits < 32);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
uint next0 = x[i + 0];
uint next1 = x[i + 1];
uint next2 = x[i + 2];
uint next3 = x[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
uint next = x[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
}
#endif
public static ulong ShiftUpBits64(int len, ulong[] z, int bits, ulong c)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits64(len, z.AsSpan(0, len), bits, c);
#else
Debug.Assert(bits > 0 && bits < 64);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = z[i + 0];
ulong next1 = z[i + 1];
ulong next2 = z[i + 2];
ulong next3 = z[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = z[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
public static ulong ShiftUpBits64(int len, ulong[] z, int zOff, int bits, ulong c)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits64(len, z.AsSpan(zOff, len), bits, c);
#else
Debug.Assert(bits > 0 && bits < 64);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = z[zOff + i + 0];
ulong next1 = z[zOff + i + 1];
ulong next2 = z[zOff + i + 2];
ulong next3 = z[zOff + i + 3];
z[zOff + i + 0] = (next0 << bits) | (c >> -bits);
z[zOff + i + 1] = (next1 << bits) | (next0 >> -bits);
z[zOff + i + 2] = (next2 << bits) | (next1 >> -bits);
z[zOff + i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = z[zOff + i];
z[zOff + i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static ulong ShiftUpBits64(int len, Span<ulong> z, int bits, ulong c)
{
Debug.Assert(bits > 0 && bits < 64);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = z[i + 0];
ulong next1 = z[i + 1];
ulong next2 = z[i + 2];
ulong next3 = z[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = z[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
}
#endif
public static ulong ShiftUpBits64(int len, ulong[] x, int bits, ulong c, ulong[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits64(len, x.AsSpan(0, len), bits, c, z.AsSpan(0, len));
#else
Debug.Assert(bits > 0 && bits < 64);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = x[i + 0];
ulong next1 = x[i + 1];
ulong next2 = x[i + 2];
ulong next3 = x[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = x[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
public static ulong ShiftUpBits64(int len, ulong[] x, int xOff, int bits, ulong c, ulong[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ShiftUpBits64(len, x.AsSpan(xOff, len), bits, c, z.AsSpan(zOff, len));
#else
Debug.Assert(bits > 0 && bits < 64);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = x[xOff + i + 0];
ulong next1 = x[xOff + i + 1];
ulong next2 = x[xOff + i + 2];
ulong next3 = x[xOff + i + 3];
z[zOff + i + 0] = (next0 << bits) | (c >> -bits);
z[zOff + i + 1] = (next1 << bits) | (next0 >> -bits);
z[zOff + i + 2] = (next2 << bits) | (next1 >> -bits);
z[zOff + i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = x[xOff + i];
z[zOff + i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static ulong ShiftUpBits64(int len, ReadOnlySpan<ulong> x, int bits, ulong c, Span<ulong> z)
{
Debug.Assert(bits > 0 && bits < 64);
int i = 0, limit4 = len - 4;
while (i <= limit4)
{
ulong next0 = x[i + 0];
ulong next1 = x[i + 1];
ulong next2 = x[i + 2];
ulong next3 = x[i + 3];
z[i + 0] = (next0 << bits) | (c >> -bits);
z[i + 1] = (next1 << bits) | (next0 >> -bits);
z[i + 2] = (next2 << bits) | (next1 >> -bits);
z[i + 3] = (next3 << bits) | (next2 >> -bits);
c = next3;
i += 4;
}
while (i < len)
{
ulong next = x[i];
z[i] = (next << bits) | (c >> -bits);
c = next;
++i;
}
return c >> -bits;
}
#endif
public static void Square(int len, uint[] x, uint[] zz)
{
int extLen = len << 1;
uint c = 0;
int j = len, k = extLen;
do
{
ulong xVal = (ulong)x[--j];
ulong p = xVal * xVal;
zz[--k] = (c << 31) | (uint)(p >> 33);
zz[--k] = (uint)(p >> 1);
c = (uint)p;
}
while (j > 0);
ulong d = 0UL;
int zzPos = 2;
for (int i = 1; i < len; ++i)
{
d += SquareWordAddTo(x, i, zz);
d += zz[zzPos];
zz[zzPos++] = (uint)d; d >>= 32;
d += zz[zzPos];
zz[zzPos++] = (uint)d; d >>= 32;
}
Debug.Assert(0UL == d);
ShiftUpBit(extLen, zz, x[0] << 31);
}
public static void Square(int len, uint[] x, int xOff, uint[] zz, int zzOff)
{
int extLen = len << 1;
uint c = 0;
int j = len, k = extLen;
do
{
ulong xVal = (ulong)x[xOff + --j];
ulong p = xVal * xVal;
zz[zzOff + --k] = (c << 31) | (uint)(p >> 33);
zz[zzOff + --k] = (uint)(p >> 1);
c = (uint)p;
}
while (j > 0);
ulong d = 0UL;
int zzPos = zzOff + 2;
for (int i = 1; i < len; ++i)
{
d += SquareWordAddTo(x, xOff, i, zz, zzOff);
d += zz[zzPos];
zz[zzPos++] = (uint)d; d >>= 32;
d += zz[zzPos];
zz[zzPos++] = (uint)d; d >>= 32;
}
Debug.Assert(0UL == d);
ShiftUpBit(extLen, zz, zzOff, x[xOff] << 31);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Square(int len, ReadOnlySpan<uint> x, Span<uint> zz)
{
int extLen = len << 1;
uint c = 0;
int j = len, k = extLen;
do
{
ulong xVal = (ulong)x[--j];
ulong p = xVal * xVal;
zz[--k] = (c << 31) | (uint)(p >> 33);
zz[--k] = (uint)(p >> 1);
c = (uint)p;
}
while (j > 0);
ulong d = 0UL;
int zzPos = 2;
for (int i = 1; i < len; ++i)
{
d += SquareWordAddTo(x, i, zz);
d += zz[zzPos];
zz[zzPos++] = (uint)d; d >>= 32;
d += zz[zzPos];
zz[zzPos++] = (uint)d; d >>= 32;
}
Debug.Assert(0UL == d);
ShiftUpBit(extLen, zz, x[0] << 31);
}
#endif
public static uint SquareWordAddTo(uint[] x, int xPos, uint[] z)
{
ulong c = 0, xVal = (ulong)x[xPos];
int i = 0;
do
{
c += xVal * x[i] + z[xPos + i];
z[xPos + i] = (uint)c;
c >>= 32;
}
while (++i < xPos);
return (uint)c;
}
public static uint SquareWordAddTo(uint[] x, int xOff, int xPos, uint[] z, int zOff)
{
ulong c = 0, xVal = (ulong)x[xOff + xPos];
int i = 0;
do
{
c += xVal * (x[xOff + i] & M) + (z[xPos + zOff] & M);
z[xPos + zOff] = (uint)c;
c >>= 32;
++zOff;
}
while (++i < xPos);
return (uint)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static uint SquareWordAddTo(ReadOnlySpan<uint> x, int xPos, Span<uint> z)
{
ulong c = 0, xVal = x[xPos];
int i = 0;
do
{
c += xVal * x[i] + z[xPos + i];
z[xPos + i] = (uint)c;
c >>= 32;
}
while (++i < xPos);
return (uint)c;
}
#endif
public static int Sub(int len, uint[] x, uint[] y, uint[] z)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)x[i] - y[i];
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
public static int Sub(int len, uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)x[xOff + i] - y[yOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int Sub(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)x[i] - y[i];
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#endif
public static int Sub33At(int len, uint x, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
long c = (long)z[zPos + 0] - x;
z[zPos + 0] = (uint)c;
c >>= 32;
c += (long)z[zPos + 1] - 1;
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zPos + 2);
}
public static int Sub33At(int len, uint x, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= (len - 2));
long c = (long)z[zOff + zPos] - x;
z[zOff + zPos] = (uint)c;
c >>= 32;
c += (long)z[zOff + zPos + 1] - 1;
z[zOff + zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zOff, zPos + 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int Sub33At(int len, uint x, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
long c = (long)z[zPos + 0] - x;
z[zPos + 0] = (uint)c;
c >>= 32;
c += (long)z[zPos + 1] - 1;
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zPos + 2);
}
#endif
public static int Sub33From(int len, uint x, uint[] z)
{
long c = (long)z[0] - x;
z[0] = (uint)c;
c >>= 32;
c += (long)z[1] - 1;
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, 2);
}
public static int Sub33From(int len, uint x, uint[] z, int zOff)
{
long c = (long)z[zOff + 0] - x;
z[zOff + 0] = (uint)c;
c >>= 32;
c += (long)z[zOff + 1] - 1;
z[zOff + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zOff, 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int Sub33From(int len, uint x, Span<uint> z)
{
long c = (long)z[0] - x;
z[0] = (uint)c;
c >>= 32;
c += (long)z[1] - 1;
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, 2);
}
#endif
public static int SubBothFrom(int len, uint[] x, uint[] y, uint[] z)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)z[i] - x[i] - y[i];
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
public static int SubBothFrom(int len, uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)z[zOff + i] - x[xOff + i] - y[yOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int SubBothFrom(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)z[i] - x[i] - y[i];
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#endif
public static int SubDWordAt(int len, ulong x, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
long c = z[zPos + 0] - (long)(x & M);
z[zPos + 0] = (uint)c;
c >>= 32;
c += z[zPos + 1] - (long)(x >> 32);
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zPos + 2);
}
public static int SubDWordAt(int len, ulong x, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= (len - 2));
long c = z[zOff + zPos] - (long)(x & M);
z[zOff + zPos] = (uint)c;
c >>= 32;
c += z[zOff + zPos + 1] - (long)(x >> 32);
z[zOff + zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zOff, zPos + 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int SubDWordAt(int len, ulong x, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 2));
long c = z[zPos + 0] - (long)(x & M);
z[zPos + 0] = (uint)c;
c >>= 32;
c += z[zPos + 1] - (long)(x >> 32);
z[zPos + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zPos + 2);
}
#endif
public static int SubDWordFrom(int len, ulong x, uint[] z)
{
long c = z[0] - (long)(x & M);
z[0] = (uint)c;
c >>= 32;
c += z[1] - (long)(x >> 32);
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, 2);
}
public static int SubDWordFrom(int len, ulong x, uint[] z, int zOff)
{
long c = z[zOff + 0] - (long)(x & M);
z[zOff + 0] = (uint)c;
c >>= 32;
c += z[zOff + 1] - (long)(x >> 32);
z[zOff + 1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zOff, 2);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int SubDWordFrom(int len, ulong x, Span<uint> z)
{
long c = z[0] - (long)(x & M);
z[0] = (uint)c;
c >>= 32;
c += z[1] - (long)(x >> 32);
z[1] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, 2);
}
#endif
public static int SubFrom(int len, uint[] x, uint[] z)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)z[i] - x[i];
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
public static int SubFrom(int len, uint[] x, int xOff, uint[] z, int zOff)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)z[zOff + i] - x[xOff + i];
z[zOff + i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int SubFrom(int len, ReadOnlySpan<uint> x, Span<uint> z)
{
long c = 0;
for (int i = 0; i < len; ++i)
{
c += (long)z[i] - x[i];
z[i] = (uint)c;
c >>= 32;
}
return (int)c;
}
#endif
public static int SubWordAt(int len, uint x, uint[] z, int zPos)
{
Debug.Assert(zPos <= (len - 1));
long c = (long)z[zPos] - x;
z[zPos] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zPos + 1);
}
public static int SubWordAt(int len, uint x, uint[] z, int zOff, int zPos)
{
Debug.Assert(zPos <= (len - 1));
long c = (long)z[zOff + zPos] - x;
z[zOff + zPos] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zOff, zPos + 1);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int SubWordAt(int len, uint x, Span<uint> z, int zPos)
{
Debug.Assert(zPos <= (len - 1));
long c = (long)z[zPos] - x;
z[zPos] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zPos + 1);
}
#endif
public static int SubWordFrom(int len, uint x, uint[] z)
{
long c = (long)z[0] - x;
z[0] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, 1);
}
public static int SubWordFrom(int len, uint x, uint[] z, int zOff)
{
long c = (long)z[zOff + 0] - x;
z[zOff + 0] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, zOff, 1);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static int SubWordFrom(int len, uint x, Span<uint> z)
{
long c = (long)z[0] - x;
z[0] = (uint)c;
c >>= 32;
return c == 0 ? 0 : DecAt(len, z, 1);
}
#endif
public static BigInteger ToBigInteger(int len, uint[] x)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
return ToBigInteger(len, x.AsSpan());
#else
byte[] bs = new byte[len << 2];
int xPos = len, bsPos = 0;
while (--xPos >= 0)
{
Pack.UInt32_To_BE(x[xPos], bs, bsPos);
bsPos += 4;
}
return new BigInteger(1, bs);
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static BigInteger ToBigInteger(int len, ReadOnlySpan<uint> x)
{
int bsLen = len << 2;
Span<byte> bs = bsLen <= 512
? stackalloc byte[bsLen]
: new byte[bsLen];
int xPos = len;
Span<byte> t = bs;
while (--xPos >= 0)
{
Pack.UInt32_To_BE(x[xPos], t);
t = t[4..];
}
return new BigInteger(1, bs);
}
#endif
public static void Xor(int len, uint[] x, uint[] y, uint[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
Xor(len, x.AsSpan(0, len), y.AsSpan(0, len), z.AsSpan(0, len));
#else
for (int i = 0; i < len; ++i)
{
z[i] = x[i] ^ y[i];
}
#endif
}
public static void Xor(int len, uint[] x, int xOff, uint[] y, int yOff, uint[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
Xor(len, x.AsSpan(xOff, len), y.AsSpan(yOff, len), z.AsSpan(zOff, len));
#else
for (int i = 0; i < len; ++i)
{
z[zOff + i] = x[xOff + i] ^ y[yOff + i];
}
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Xor(int len, ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> z)
{
int i = 0, limit16 = len - 16;
while (i <= limit16)
{
Nat512.Xor(x[i..], y[i..], z[i..]);
i += 16;
}
while (i < len)
{
z[i] = x[i] ^ y[i];
++i;
}
}
#endif
public static void Xor64(int len, ulong[] x, ulong[] y, ulong[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
Xor64(len, x.AsSpan(0, len), y.AsSpan(0, len), z.AsSpan(0, len));
#else
for (int i = 0; i < len; ++i)
{
z[i] = x[i] ^ y[i];
}
#endif
}
public static void Xor64(int len, ulong[] x, int xOff, ulong[] y, int yOff, ulong[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
Xor64(len, x.AsSpan(xOff, len), y.AsSpan(yOff, len), z.AsSpan(zOff, len));
#else
for (int i = 0; i < len; ++i)
{
z[zOff + i] = x[xOff + i] ^ y[yOff + i];
}
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Xor64(int len, ReadOnlySpan<ulong> x, ReadOnlySpan<ulong> y, Span<ulong> z)
{
int i = 0, limit8 = len - 8;
while (i <= limit8)
{
Nat512.Xor64(x[i..], y[i..], z[i..]);
i += 8;
}
while (i < len)
{
z[i] = x[i] ^ y[i];
++i;
}
}
#endif
public static void XorTo(int len, uint[] x, uint[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
XorTo(len, x.AsSpan(0, len), z.AsSpan(0, len));
#else
for (int i = 0; i < len; ++i)
{
z[i] ^= x[i];
}
#endif
}
public static void XorTo(int len, uint[] x, int xOff, uint[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
XorTo(len, x.AsSpan(xOff, len), z.AsSpan(zOff, len));
#else
for (int i = 0; i < len; ++i)
{
z[zOff + i] ^= x[xOff + i];
}
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void XorTo(int len, ReadOnlySpan<uint> x, Span<uint> z)
{
int i = 0, limit16 = len - 16;
while (i <= limit16)
{
Nat512.XorTo(x[i..], z[i..]);
i += 16;
}
while (i < len)
{
z[i] ^= x[i];
++i;
}
}
#endif
public static void XorTo64(int len, ulong[] x, ulong[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
XorTo64(len, x.AsSpan(0, len), z.AsSpan(0, len));
#else
for (int i = 0; i < len; ++i)
{
z[i] ^= x[i];
}
#endif
}
public static void XorTo64(int len, ulong[] x, int xOff, ulong[] z, int zOff)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
XorTo64(len, x.AsSpan(xOff, len), z.AsSpan(zOff, len));
#else
for (int i = 0; i < len; ++i)
{
z[zOff + i] ^= x[xOff + i];
}
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void XorTo64(int len, ReadOnlySpan<ulong> x, Span<ulong> z)
{
int i = 0, limit8 = len - 8;
while (i <= limit8)
{
Nat512.XorTo64(x[i..], z[i..]);
i += 8;
}
while (i < len)
{
z[i] ^= x[i];
++i;
}
}
#endif
public static void Zero(int len, uint[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
z.AsSpan(0, len).Fill(0U);
#else
for (int i = 0; i < len; ++i)
{
z[i] = 0U;
}
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Zero(int len, Span<uint> z)
{
z[..len].Fill(0U);
}
#endif
public static void Zero64(int len, ulong[] z)
{
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
z.AsSpan(0, len).Fill(0UL);
#else
for (int i = 0; i < len; ++i)
{
z[i] = 0UL;
}
#endif
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER || _UNITY_2021_2_OR_NEWER_
public static void Zero64(int len, Span<ulong> z)
{
z[..len].Fill(0UL);
}
#endif
}
}
#pragma warning restore
#endif