258 lines
6.7 KiB
C#
258 lines
6.7 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.Djb
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{
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internal class Curve25519Field
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{
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// 2^255 - 2^4 - 2^1 - 1
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internal static readonly uint[] P = new uint[]{ 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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0xFFFFFFFF, 0x7FFFFFFF };
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private const uint P7 = 0x7FFFFFFF;
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private static readonly uint[] PExt = new uint[]{ 0x00000169, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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0x00000000, 0x00000000, 0x00000000, 0xFFFFFFED, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF, 0xFFFFFFFF,
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0xFFFFFFFF, 0x3FFFFFFF };
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private const uint PInv = 0x13;
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public static void Add(uint[] x, uint[] y, uint[] z)
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{
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Nat256.Add(x, y, z);
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if (Nat256.Gte(z, P))
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{
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SubPFrom(z);
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}
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}
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public static void AddExt(uint[] xx, uint[] yy, uint[] zz)
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{
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Nat.Add(16, xx, yy, zz);
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if (Nat.Gte(16, zz, PExt))
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{
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SubPExtFrom(zz);
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}
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}
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public static void AddOne(uint[] x, uint[] z)
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{
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Nat.Inc(8, x, z);
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if (Nat256.Gte(z, P))
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{
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SubPFrom(z);
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}
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}
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public static uint[] FromBigInteger(BigInteger x)
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{
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uint[] z = Nat256.FromBigInteger(x);
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while (Nat256.Gte(z, P))
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{
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Nat256.SubFrom(P, z);
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}
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return z;
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}
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public static void Half(uint[] x, uint[] z)
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{
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if ((x[0] & 1) == 0)
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{
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Nat.ShiftDownBit(8, x, 0, z);
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}
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else
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{
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Nat256.Add(x, P, z);
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Nat.ShiftDownBit(8, z, 0);
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}
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}
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public static void Multiply(uint[] x, uint[] y, uint[] z)
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{
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uint[] tt = Nat256.CreateExt();
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Nat256.Mul(x, y, tt);
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Reduce(tt, z);
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}
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public static void MultiplyAddToExt(uint[] x, uint[] y, uint[] zz)
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{
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Nat256.MulAddTo(x, y, zz);
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if (Nat.Gte(16, zz, PExt))
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{
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SubPExtFrom(zz);
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}
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}
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public static void Negate(uint[] x, uint[] z)
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{
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if (Nat256.IsZero(x))
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{
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Nat256.Zero(z);
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}
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else
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{
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Nat256.Sub(P, x, z);
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}
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}
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public static void Reduce(uint[] xx, uint[] z)
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{
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Debug.Assert(xx[15] >> 30 == 0);
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uint xx07 = xx[7];
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Nat.ShiftUpBit(8, xx, 8, xx07, z, 0);
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uint c = Nat256.MulByWordAddTo(PInv, xx, z) << 1;
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uint z7 = z[7];
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c += (z7 >> 31) - (xx07 >> 31);
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z7 &= P7;
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z7 += Nat.AddWordTo(7, c * PInv, z);
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z[7] = z7;
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if (z7 >= P7 && Nat256.Gte(z, P))
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{
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SubPFrom(z);
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}
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}
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public static void Reduce27(uint x, uint[] z)
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{
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Debug.Assert(x >> 26 == 0);
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uint z7 = z[7];
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uint c = (x << 1 | z7 >> 31);
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z7 &= P7;
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z7 += Nat.AddWordTo(7, c * PInv, z);
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z[7] = z7;
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if (z7 >= P7 && Nat256.Gte(z, P))
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{
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SubPFrom(z);
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}
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}
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public static void Square(uint[] x, uint[] z)
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{
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uint[] tt = Nat256.CreateExt();
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Nat256.Square(x, tt);
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Reduce(tt, z);
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}
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public static void SquareN(uint[] x, int n, uint[] z)
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{
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Debug.Assert(n > 0);
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uint[] tt = Nat256.CreateExt();
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Nat256.Square(x, tt);
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Reduce(tt, z);
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while (--n > 0)
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{
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Nat256.Square(z, tt);
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Reduce(tt, z);
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}
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}
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public static void Subtract(uint[] x, uint[] y, uint[] z)
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{
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int c = Nat256.Sub(x, y, z);
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if (c != 0)
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{
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AddPTo(z);
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}
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}
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public static void SubtractExt(uint[] xx, uint[] yy, uint[] zz)
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{
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int c = Nat.Sub(16, xx, yy, zz);
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if (c != 0)
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{
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AddPExtTo(zz);
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}
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}
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public static void Twice(uint[] x, uint[] z)
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{
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Nat.ShiftUpBit(8, x, 0, z);
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if (Nat256.Gte(z, P))
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{
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SubPFrom(z);
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}
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}
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private static uint AddPTo(uint[] z)
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{
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long c = (long)z[0] - PInv;
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z[0] = (uint)c;
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c >>= 32;
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if (c != 0)
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{
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c = Nat.DecAt(7, z, 1);
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}
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c += (long)z[7] + (P7 + 1);
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z[7] = (uint)c;
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c >>= 32;
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return (uint)c;
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}
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private static uint AddPExtTo(uint[] zz)
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{
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long c = (long)zz[0] + PExt[0];
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zz[0] = (uint)c;
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c >>= 32;
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if (c != 0)
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{
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c = Nat.IncAt(8, zz, 1);
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}
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c += (long)zz[8] - PInv;
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zz[8] = (uint)c;
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c >>= 32;
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if (c != 0)
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{
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c = Nat.DecAt(15, zz, 9);
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}
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c += (long)zz[15] + (PExt[15] + 1);
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zz[15] = (uint)c;
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c >>= 32;
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return (uint)c;
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}
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private static int SubPFrom(uint[] z)
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{
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long c = (long)z[0] + PInv;
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z[0] = (uint)c;
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c >>= 32;
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if (c != 0)
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{
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c = Nat.IncAt(7, z, 1);
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}
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c += (long)z[7] - (P7 + 1);
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z[7] = (uint)c;
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c >>= 32;
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return (int)c;
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}
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private static int SubPExtFrom(uint[] zz)
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{
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long c = (long)zz[0] - PExt[0];
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zz[0] = (uint)c;
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c >>= 32;
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if (c != 0)
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{
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c = Nat.DecAt(8, zz, 1);
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}
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c += (long)zz[8] + PInv;
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zz[8] = (uint)c;
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c >>= 32;
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if (c != 0)
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{
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c = Nat.IncAt(15, zz, 9);
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}
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c += (long)zz[15] - (PExt[15] + 1);
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zz[15] = (uint)c;
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c >>= 32;
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return (int)c;
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}
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}
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}
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#endif
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