YDL
/
MscFireLander
1
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity
培训考核三期,新版培训,网页版培训登录器
You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
2 Commits
1 Branch
0 Tags
41 MiB
 
 
Tree: 214b565ef9
Branches Tags
${ item.name }
Create tag ${ searchTerm }
Create branch ${ searchTerm }
from '214b565ef9'
${ noResults }
MscFireLander/Assets/Plugins/Best HTTP/Source/SecureProtocol/math/ec/rfc8032/Ed448.cs

1446 lines
51 KiB
Raw Blame History

#if !BESTHTTP_DISABLE_ALTERNATE_SSL && (!UNITY_WEBGL || UNITY_EDITOR)
#pragma warning disable
using System;
using System.Diagnostics;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Crypto;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Crypto.Digests;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Rfc7748;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Math.Raw;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Security;
using BestHTTP.SecureProtocol.Org.BouncyCastle.Utilities;
namespace BestHTTP.SecureProtocol.Org.BouncyCastle.Math.EC.Rfc8032
{
public abstract class Ed448
{
// x^2 + y^2 == 1 - 39081 * x^2 * y^2
public enum Algorithm
{
Ed448 = 0,
Ed448ph = 1,
}
private class F : X448Field {};
private const ulong M26UL = 0x03FFFFFFUL;
private const ulong M28UL = 0x0FFFFFFFUL;
private const int CoordUints = 14;
private const int PointBytes = CoordUints * 4 + 1;
private const int ScalarUints = 14;
private const int ScalarBytes = ScalarUints * 4 + 1;
public static readonly int PrehashSize = 64;
public static readonly int PublicKeySize = PointBytes;
public static readonly int SecretKeySize = 57;
public static readonly int SignatureSize = PointBytes + ScalarBytes;
// "SigEd448"
private static readonly byte[] Dom4Prefix = new byte[]{ 0x53, 0x69, 0x67, 0x45, 0x64, 0x34, 0x34, 0x38 };
private static readonly uint[] P = { 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU,
0xFFFFFFFEU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU };
private static readonly uint[] L = { 0xAB5844F3U, 0x2378C292U, 0x8DC58F55U, 0x216CC272U, 0xAED63690U, 0xC44EDB49U, 0x7CCA23E9U,
0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0xFFFFFFFFU, 0x3FFFFFFFU };
private const int L_0 = 0x04A7BB0D; // L_0:26/24
private const int L_1 = 0x0873D6D5; // L_1:27/23
private const int L_2 = 0x0A70AADC; // L_2:27/26
private const int L_3 = 0x03D8D723; // L_3:26/--
private const int L_4 = 0x096FDE93; // L_4:27/25
private const int L_5 = 0x0B65129C; // L_5:27/26
private const int L_6 = 0x063BB124; // L_6:27/--
private const int L_7 = 0x08335DC1; // L_7:27/22
private const int L4_0 = 0x029EEC34; // L4_0:25/24
private const int L4_1 = 0x01CF5B55; // L4_1:25/--
private const int L4_2 = 0x09C2AB72; // L4_2:27/25
private const int L4_3 = 0x0F635C8E; // L4_3:28/--
private const int L4_4 = 0x05BF7A4C; // L4_4:26/25
private const int L4_5 = 0x0D944A72; // L4_5:28/--
private const int L4_6 = 0x08EEC492; // L4_6:27/24
private const int L4_7 = 0x20CD7705; // L4_7:29/24
private static readonly uint[] B_x = { 0x070CC05EU, 0x026A82BCU, 0x00938E26U, 0x080E18B0U, 0x0511433BU, 0x0F72AB66U, 0x0412AE1AU,
0x0A3D3A46U, 0x0A6DE324U, 0x00F1767EU, 0x04657047U, 0x036DA9E1U, 0x05A622BFU, 0x0ED221D1U, 0x066BED0DU, 0x04F1970CU };
private static readonly uint[] B_y = { 0x0230FA14U, 0x008795BFU, 0x07C8AD98U, 0x0132C4EDU, 0x09C4FDBDU, 0x01CE67C3U, 0x073AD3FFU,
0x005A0C2DU, 0x07789C1EU, 0x0A398408U, 0x0A73736CU, 0x0C7624BEU, 0x003756C9U, 0x02488762U, 0x016EB6BCU, 0x0693F467U };
private const int C_d = -39081;
private const int WnafWidthBase = 7;
private const int PrecompBlocks = 5;
private const int PrecompTeeth = 5;
private const int PrecompSpacing = 18;
private const int PrecompPoints = 1 << (PrecompTeeth - 1);
private const int PrecompMask = PrecompPoints - 1;
private static readonly object precompLock = new object();
// TODO[ed448] Convert to PointPrecomp
private static PointExt[] precompBaseTable = null;
private static uint[] precompBase = null;
private class PointExt
{
internal uint[] x = F.Create();
internal uint[] y = F.Create();
internal uint[] z = F.Create();
}
private class PointPrecomp
{
internal uint[] x = F.Create();
internal uint[] y = F.Create();
}
private static byte[] CalculateS(byte[] r, byte[] k, byte[] s)
{
uint[] t = new uint[ScalarUints * 2]; DecodeScalar(r, 0, t);
uint[] u = new uint[ScalarUints]; DecodeScalar(k, 0, u);
uint[] v = new uint[ScalarUints]; DecodeScalar(s, 0, v);
Nat.MulAddTo(ScalarUints, u, v, t);
byte[] result = new byte[ScalarBytes * 2];
for (int i = 0; i < t.Length; ++i)
{
Encode32(t[i], result, i * 4);
}
return ReduceScalar(result);
}
private static bool CheckContextVar(byte[] ctx)
{
return ctx != null && ctx.Length < 256;
}
private static int CheckPoint(uint[] x, uint[] y)
{
uint[] t = F.Create();
uint[] u = F.Create();
uint[] v = F.Create();
F.Sqr(x, u);
F.Sqr(y, v);
F.Mul(u, v, t);
F.Add(u, v, u);
F.Mul(t, -C_d, t);
F.SubOne(t);
F.Add(t, u, t);
F.Normalize(t);
return F.IsZero(t);
}
private static int CheckPoint(uint[] x, uint[] y, uint[] z)
{
uint[] t = F.Create();
uint[] u = F.Create();
uint[] v = F.Create();
uint[] w = F.Create();
F.Sqr(x, u);
F.Sqr(y, v);
F.Sqr(z, w);
F.Mul(u, v, t);
F.Add(u, v, u);
F.Mul(u, w, u);
F.Sqr(w, w);
F.Mul(t, -C_d, t);
F.Sub(t, w, t);
F.Add(t, u, t);
F.Normalize(t);
return F.IsZero(t);
}
private static bool CheckPointVar(byte[] p)
{
if ((p[PointBytes - 1] & 0x7F) != 0x00)
return false;
uint[] t = new uint[CoordUints];
Decode32(p, 0, t, 0, CoordUints);
return !Nat.Gte(CoordUints, t, P);
}
private static bool CheckScalarVar(byte[] s, uint[] n)
{
if (s[ScalarBytes - 1] != 0x00)
return false;
DecodeScalar(s, 0, n);
return !Nat.Gte(ScalarUints, n, L);
}
private static byte[] Copy(byte[] buf, int off, int len)
{
byte[] result = new byte[len];
Array.Copy(buf, off, result, 0, len);
return result;
}
public static IXof CreatePrehash()
{
return CreateXof();
}
private static IXof CreateXof()
{
return new ShakeDigest(256);
}
private static uint Decode16(byte[] bs, int off)
{
uint n = bs[off];
n |= (uint)bs[++off] << 8;
return n;
}
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 Decode32(byte[] bs, int bsOff, uint[] n, int nOff, int nLen)
{
for (int i = 0; i < nLen; ++i)
{
n[nOff + i] = Decode32(bs, bsOff + i * 4);
}
}
private static bool DecodePointVar(byte[] p, int pOff, bool negate, PointExt r)
{
byte[] py = Copy(p, pOff, PointBytes);
if (!CheckPointVar(py))
return false;
int x_0 = (py[PointBytes - 1] & 0x80) >> 7;
py[PointBytes - 1] &= 0x7F;
F.Decode(py, 0, r.y);
uint[] u = F.Create();
uint[] v = F.Create();
F.Sqr(r.y, u);
F.Mul(u, (uint)-C_d, v);
F.Negate(u, u);
F.AddOne(u);
F.AddOne(v);
if (!F.SqrtRatioVar(u, v, r.x))
return false;
F.Normalize(r.x);
if (x_0 == 1 && F.IsZeroVar(r.x))
return false;
if (negate ^ (x_0 != (r.x[0] & 1)))
{
F.Negate(r.x, r.x);
}
PointExtendXY(r);
return true;
}
private static void DecodeScalar(byte[] k, int kOff, uint[] n)
{
Debug.Assert(k[kOff + ScalarBytes - 1] == 0x00);
Decode32(k, kOff, n, 0, ScalarUints);
}
private static void Dom4(IXof d, byte phflag, byte[] ctx)
{
int n = Dom4Prefix.Length;
byte[] t = new byte[n + 2 + ctx.Length];
Dom4Prefix.CopyTo(t, 0);
t[n] = phflag;
t[n + 1] = (byte)ctx.Length;
ctx.CopyTo(t, n + 2);
d.BlockUpdate(t, 0, t.Length);
}
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(ulong n, byte[] bs, int off)
{
Encode32((uint)n, bs, off);
Encode24((uint)(n >> 32), bs, off + 4);
}
private static int EncodePoint(PointExt p, byte[] r, int rOff)
{
uint[] x = F.Create();
uint[] y = F.Create();
F.Inv(p.z, y);
F.Mul(p.x, y, x);
F.Mul(p.y, y, y);
F.Normalize(x);
F.Normalize(y);
int result = CheckPoint(x, y);
F.Encode(y, r, rOff);
r[rOff + PointBytes - 1] = (byte)((x[0] & 1) << 7);
return result;
}
public static void GeneratePrivateKey(SecureRandom random, byte[] k)
{
random.NextBytes(k);
}
public static void GeneratePublicKey(byte[] sk, int skOff, byte[] pk, int pkOff)
{
IXof d = CreateXof();
byte[] h = new byte[ScalarBytes * 2];
d.BlockUpdate(sk, skOff, SecretKeySize);
d.DoFinal(h, 0, h.Length);
byte[] s = new byte[ScalarBytes];
PruneScalar(h, 0, s);
ScalarMultBaseEncoded(s, pk, pkOff);
}
private static uint GetWindow4(uint[] x, int n)
{
int w = (int)((uint)n >> 3), b = (n & 7) << 2;
return (x[w] >> b) & 15U;
}
private static sbyte[] GetWnafVar(uint[] n, int width)
{
Debug.Assert(n[ScalarUints - 1] <= L[ScalarUints - 1]);
Debug.Assert(2 <= width && width <= 8);
uint[] t = new uint[ScalarUints * 2];
{
uint c = 0;
int tPos = t.Length, i = ScalarUints;
while (--i >= 0)
{
uint next = n[i];
t[--tPos] = (next >> 16) | (c << 16);
t[--tPos] = c = next;
}
}
sbyte[] ws = new sbyte[447];
int lead = 32 - width;
uint carry = 0U;
int j = 0;
for (int i = 0; i < t.Length; ++i, j -= 16)
{
uint word = t[i];
while (j < 16)
{
uint word16 = word >> j;
uint bit = word16 & 1U;
if (bit == carry)
{
++j;
continue;
}
uint digit = (word16 | 1U) << lead;
carry = digit >> 31;
ws[(i << 4) + j] = (sbyte)((int)digit >> lead);
j += width;
}
}
Debug.Assert(carry == 0);
return ws;
}
private static void ImplSign(IXof d, byte[] h, byte[] s, byte[] pk, int pkOff, byte[] ctx, byte phflag,
byte[] m, int mOff, int mLen, byte[] sig, int sigOff)
{
Dom4(d, phflag, ctx);
d.BlockUpdate(h, ScalarBytes, ScalarBytes);
d.BlockUpdate(m, mOff, mLen);
d.DoFinal(h, 0, h.Length);
byte[] r = ReduceScalar(h);
byte[] R = new byte[PointBytes];
ScalarMultBaseEncoded(r, R, 0);
Dom4(d, phflag, ctx);
d.BlockUpdate(R, 0, PointBytes);
d.BlockUpdate(pk, pkOff, PointBytes);
d.BlockUpdate(m, mOff, mLen);
d.DoFinal(h, 0, h.Length);
byte[] k = ReduceScalar(h);
byte[] S = CalculateS(r, k, s);
Array.Copy(R, 0, sig, sigOff, PointBytes);
Array.Copy(S, 0, sig, sigOff + PointBytes, ScalarBytes);
}
private static void ImplSign(byte[] sk, int skOff, byte[] ctx, byte phflag, byte[] m, int mOff, int mLen,
byte[] sig, int sigOff)
{
if (!CheckContextVar(ctx))
throw new ArgumentException("ctx");
IXof d = CreateXof();
byte[] h = new byte[ScalarBytes * 2];
d.BlockUpdate(sk, skOff, SecretKeySize);
d.DoFinal(h, 0, h.Length);
byte[] s = new byte[ScalarBytes];
PruneScalar(h, 0, s);
byte[] pk = new byte[PointBytes];
ScalarMultBaseEncoded(s, pk, 0);
ImplSign(d, h, s, pk, 0, ctx, phflag, m, mOff, mLen, sig, sigOff);
}
private static void ImplSign(byte[] sk, int skOff, byte[] pk, int pkOff, byte[] ctx, byte phflag,
byte[] m, int mOff, int mLen, byte[] sig, int sigOff)
{
if (!CheckContextVar(ctx))
throw new ArgumentException("ctx");
IXof d = CreateXof();
byte[] h = new byte[ScalarBytes * 2];
d.BlockUpdate(sk, skOff, SecretKeySize);
d.DoFinal(h, 0, h.Length);
byte[] s = new byte[ScalarBytes];
PruneScalar(h, 0, s);
ImplSign(d, h, s, pk, pkOff, ctx, phflag, m, mOff, mLen, sig, sigOff);
}
private static bool ImplVerify(byte[] sig, int sigOff, byte[] pk, int pkOff, byte[] ctx, byte phflag,
byte[] m, int mOff, int mLen)
{
if (!CheckContextVar(ctx))
throw new ArgumentException("ctx");
byte[] R = Copy(sig, sigOff, PointBytes);
byte[] S = Copy(sig, sigOff + PointBytes, ScalarBytes);
if (!CheckPointVar(R))
return false;
uint[] nS = new uint[ScalarUints];
if (!CheckScalarVar(S, nS))
return false;
PointExt pA = new PointExt();
if (!DecodePointVar(pk, pkOff, true, pA))
return false;
IXof d = CreateXof();
byte[] h = new byte[ScalarBytes * 2];
Dom4(d, phflag, ctx);
d.BlockUpdate(R, 0, PointBytes);
d.BlockUpdate(pk, pkOff, PointBytes);
d.BlockUpdate(m, mOff, mLen);
d.DoFinal(h, 0, h.Length);
byte[] k = ReduceScalar(h);
uint[] nA = new uint[ScalarUints];
DecodeScalar(k, 0, nA);
PointExt pR = new PointExt();
ScalarMultStrausVar(nS, nA, pA, pR);
byte[] check = new byte[PointBytes];
return 0 != EncodePoint(pR, check, 0) && Arrays.AreEqual(check, R);
}
private static bool IsNeutralElementVar(uint[] x, uint[] y)
{
return F.IsZeroVar(x) && F.IsOneVar(y);
}
private static bool IsNeutralElementVar(uint[] x, uint[] y, uint[] z)
{
return F.IsZeroVar(x) && F.AreEqualVar(y, z);
}
private static void PointAdd(PointExt p, PointExt r)
{
uint[] a = F.Create();
uint[] b = F.Create();
uint[] c = F.Create();
uint[] d = F.Create();
uint[] e = F.Create();
uint[] f = F.Create();
uint[] g = F.Create();
uint[] h = F.Create();
F.Mul(p.z, r.z, a);
F.Sqr(a, b);
F.Mul(p.x, r.x, c);
F.Mul(p.y, r.y, d);
F.Mul(c, d, e);
F.Mul(e, -C_d, e);
//F.Apm(b, e, f, g);
F.Add(b, e, f);
F.Sub(b, e, g);
F.Add(p.x, p.y, b);
F.Add(r.x, r.y, e);
F.Mul(b, e, h);
//F.Apm(d, c, b, e);
F.Add(d, c, b);
F.Sub(d, c, e);
F.Carry(b);
F.Sub(h, b, h);
F.Mul(h, a, h);
F.Mul(e, a, e);
F.Mul(f, h, r.x);
F.Mul(e, g, r.y);
F.Mul(f, g, r.z);
}
private static void PointAddVar(bool negate, PointExt p, PointExt r)
{
uint[] a = F.Create();
uint[] b = F.Create();
uint[] c = F.Create();
uint[] d = F.Create();
uint[] e = F.Create();
uint[] f = F.Create();
uint[] g = F.Create();
uint[] h = F.Create();
uint[] nb, ne, nf, ng;
if (negate)
{
nb = e; ne = b; nf = g; ng = f;
F.Sub(p.y, p.x, h);
}
else
{
nb = b; ne = e; nf = f; ng = g;
F.Add(p.y, p.x, h);
}
F.Mul(p.z, r.z, a);
F.Sqr(a, b);
F.Mul(p.x, r.x, c);
F.Mul(p.y, r.y, d);
F.Mul(c, d, e);
F.Mul(e, -C_d, e);
//F.Apm(b, e, nf, ng);
F.Add(b, e, nf);
F.Sub(b, e, ng);
F.Add(r.x, r.y, e);
F.Mul(h, e, h);
//F.Apm(d, c, nb, ne);
F.Add(d, c, nb);
F.Sub(d, c, ne);
F.Carry(nb);
F.Sub(h, b, h);
F.Mul(h, a, h);
F.Mul(e, a, e);
F.Mul(f, h, r.x);
F.Mul(e, g, r.y);
F.Mul(f, g, r.z);
}
private static void PointAddPrecomp(PointPrecomp p, PointExt r)
{
uint[] b = F.Create();
uint[] c = F.Create();
uint[] d = F.Create();
uint[] e = F.Create();
uint[] f = F.Create();
uint[] g = F.Create();
uint[] h = F.Create();
F.Sqr(r.z, b);
F.Mul(p.x, r.x, c);
F.Mul(p.y, r.y, d);
F.Mul(c, d, e);
F.Mul(e, -C_d, e);
//F.Apm(b, e, f, g);
F.Add(b, e, f);
F.Sub(b, e, g);
F.Add(p.x, p.y, b);
F.Add(r.x, r.y, e);
F.Mul(b, e, h);
//F.Apm(d, c, b, e);
F.Add(d, c, b);
F.Sub(d, c, e);
F.Carry(b);
F.Sub(h, b, h);
F.Mul(h, r.z, h);
F.Mul(e, r.z, e);
F.Mul(f, h, r.x);
F.Mul(e, g, r.y);
F.Mul(f, g, r.z);
}
private static PointExt PointCopy(PointExt p)
{
PointExt r = new PointExt();
PointCopy(p, r);
return r;
}
private static void PointCopy(PointExt p, PointExt r)
{
F.Copy(p.x, 0, r.x, 0);
F.Copy(p.y, 0, r.y, 0);
F.Copy(p.z, 0, r.z, 0);
}
private static void PointDouble(PointExt r)
{
uint[] b = F.Create();
uint[] c = F.Create();
uint[] d = F.Create();
uint[] e = F.Create();
uint[] h = F.Create();
uint[] j = F.Create();
F.Add(r.x, r.y, b);
F.Sqr(b, b);
F.Sqr(r.x, c);
F.Sqr(r.y, d);
F.Add(c, d, e);
F.Carry(e);
F.Sqr(r.z, h);
F.Add(h, h, h);
F.Carry(h);
F.Sub(e, h, j);
F.Sub(b, e, b);
F.Sub(c, d, c);
F.Mul(b, j, r.x);
F.Mul(e, c, r.y);
F.Mul(e, j, r.z);
}
private static void PointExtendXY(PointExt p)
{
F.One(p.z);
}
private static void PointLookup(int block, int index, PointPrecomp p)
{
Debug.Assert(0 <= block && block < PrecompBlocks);
Debug.Assert(0 <= index && index < PrecompPoints);
int off = block * PrecompPoints * 2 * F.Size;
for (int i = 0; i < PrecompPoints; ++i)
{
int cond = ((i ^ index) - 1) >> 31;
F.CMov(cond, precompBase, off, p.x, 0); off += F.Size;
F.CMov(cond, precompBase, off, p.y, 0); off += F.Size;
}
}
private static void PointLookup(uint[] x, int n, uint[] table, PointExt r)
{
// TODO This method is currently hardcoded to 4-bit windows and 8 precomputed points
uint w = GetWindow4(x, n);
int sign = (int)(w >> (4 - 1)) ^ 1;
int abs = ((int)w ^ -sign) & 7;
Debug.Assert(sign == 0 || sign == 1);
Debug.Assert(0 <= abs && abs < 8);
for (int i = 0, off = 0; i < 8; ++i)
{
int cond = ((i ^ abs) - 1) >> 31;
F.CMov(cond, table, off, r.x, 0); off += F.Size;
F.CMov(cond, table, off, r.y, 0); off += F.Size;
F.CMov(cond, table, off, r.z, 0); off += F.Size;
}
F.CNegate(sign, r.x);
}
private static uint[] PointPrecompute(PointExt p, int count)
{
Debug.Assert(count > 0);
PointExt q = PointCopy(p);
PointExt d = PointCopy(q);
PointDouble(d);
uint[] table = F.CreateTable(count * 3);
int off = 0;
int i = 0;
for (;;)
{
F.Copy(q.x, 0, table, off); off += F.Size;
F.Copy(q.y, 0, table, off); off += F.Size;
F.Copy(q.z, 0, table, off); off += F.Size;
if (++i == count)
break;
PointAdd(d, q);
}
return table;
}
private static PointExt[] PointPrecomputeVar(PointExt p, int count)
{
Debug.Assert(count > 0);
PointExt d = PointCopy(p);
PointDouble(d);
PointExt[] table = new PointExt[count];
table[0] = PointCopy(p);
for (int i = 1; i < count; ++i)
{
table[i] = PointCopy(table[i - 1]);
PointAddVar(false, d, table[i]);
}
return table;
}
private static void PointSetNeutral(PointExt p)
{
F.Zero(p.x);
F.One(p.y);
F.One(p.z);
}
public static void Precompute()
{
lock (precompLock)
{
if (precompBase != null)
return;
PointExt p = new PointExt();
F.Copy(B_x, 0, p.x, 0);
F.Copy(B_y, 0, p.y, 0);
PointExtendXY(p);
precompBaseTable = PointPrecomputeVar(p, 1 << (WnafWidthBase - 2));
precompBase = F.CreateTable(PrecompBlocks * PrecompPoints * 2);
int off = 0;
for (int b = 0; b < PrecompBlocks; ++b)
{
PointExt[] ds = new PointExt[PrecompTeeth];
PointExt sum = new PointExt();
PointSetNeutral(sum);
for (int t = 0; t < PrecompTeeth; ++t)
{
PointAddVar(true, p, sum);
PointDouble(p);
ds[t] = PointCopy(p);
if (b + t != PrecompBlocks + PrecompTeeth - 2)
{
for (int s = 1; s < PrecompSpacing; ++s)
{
PointDouble(p);
}
}
}
PointExt[] points = new PointExt[PrecompPoints];
int k = 0;
points[k++] = sum;
for (int t = 0; t < (PrecompTeeth - 1); ++t)
{
int size = 1 << t;
for (int j = 0; j < size; ++j, ++k)
{
points[k] = PointCopy(points[k - size]);
PointAddVar(false, ds[t], points[k]);
}
}
Debug.Assert(k == PrecompPoints);
uint[] cs = F.CreateTable(PrecompPoints);
// TODO[ed448] A single batch inversion across all blocks?
{
uint[] u = F.Create();
F.Copy(points[0].z, 0, u, 0);
F.Copy(u, 0, cs, 0);
int i = 0;
while (++i < PrecompPoints)
{
F.Mul(u, points[i].z, u);
F.Copy(u, 0, cs, i * F.Size);
}
F.InvVar(u, u);
--i;
uint[] t = F.Create();
while (i > 0)
{
int j = i--;
F.Copy(cs, i * F.Size, t, 0);
F.Mul(t, u, t);
F.Copy(t, 0, cs, j * F.Size);
F.Mul(u, points[j].z, u);
}
F.Copy(u, 0, cs, 0);
}
for (int i = 0; i < PrecompPoints; ++i)
{
PointExt q = points[i];
//F.InvVar(q.z, q.z);
F.Copy(cs, i * F.Size, q.z, 0);
F.Mul(q.x, q.z, q.x);
F.Mul(q.y, q.z, q.y);
//F.Normalize(q.x);
//F.Normalize(q.y);
F.Copy(q.x, 0, precompBase, off); off += F.Size;
F.Copy(q.y, 0, precompBase, off); off += F.Size;
}
}
Debug.Assert(off == precompBase.Length);
}
}
private static void PruneScalar(byte[] n, int nOff, byte[] r)
{
Array.Copy(n, nOff, r, 0, ScalarBytes - 1);
r[0] &= 0xFC;
r[ScalarBytes - 2] |= 0x80;
r[ScalarBytes - 1] = 0x00;
}
private static byte[] ReduceScalar(byte[] n)
{
ulong x00 = Decode32(n, 0); // x00:32/--
ulong x01 = (Decode24(n, 4) << 4); // x01:28/--
ulong x02 = Decode32(n, 7); // x02:32/--
ulong x03 = (Decode24(n, 11) << 4); // x03:28/--
ulong x04 = Decode32(n, 14); // x04:32/--
ulong x05 = (Decode24(n, 18) << 4); // x05:28/--
ulong x06 = Decode32(n, 21); // x06:32/--
ulong x07 = (Decode24(n, 25) << 4); // x07:28/--
ulong x08 = Decode32(n, 28); // x08:32/--
ulong x09 = (Decode24(n, 32) << 4); // x09:28/--
ulong x10 = Decode32(n, 35); // x10:32/--
ulong x11 = (Decode24(n, 39) << 4); // x11:28/--
ulong x12 = Decode32(n, 42); // x12:32/--
ulong x13 = (Decode24(n, 46) << 4); // x13:28/--
ulong x14 = Decode32(n, 49); // x14:32/--
ulong x15 = (Decode24(n, 53) << 4); // x15:28/--
ulong x16 = Decode32(n, 56); // x16:32/--
ulong x17 = (Decode24(n, 60) << 4); // x17:28/--
ulong x18 = Decode32(n, 63); // x18:32/--
ulong x19 = (Decode24(n, 67) << 4); // x19:28/--
ulong x20 = Decode32(n, 70); // x20:32/--
ulong x21 = (Decode24(n, 74) << 4); // x21:28/--
ulong x22 = Decode32(n, 77); // x22:32/--
ulong x23 = (Decode24(n, 81) << 4); // x23:28/--
ulong x24 = Decode32(n, 84); // x24:32/--
ulong x25 = (Decode24(n, 88) << 4); // x25:28/--
ulong x26 = Decode32(n, 91); // x26:32/--
ulong x27 = (Decode24(n, 95) << 4); // x27:28/--
ulong x28 = Decode32(n, 98); // x28:32/--
ulong x29 = (Decode24(n, 102) << 4); // x29:28/--
ulong x30 = Decode32(n, 105); // x30:32/--
ulong x31 = (Decode24(n, 109) << 4); // x31:28/--
ulong x32 = Decode16(n, 112); // x32:16/--
// x32 += (x31 >> 28); x31 &= M28UL;
x16 += x32 * L4_0; // x16:42/--
x17 += x32 * L4_1; // x17:41/28
x18 += x32 * L4_2; // x18:43/42
x19 += x32 * L4_3; // x19:44/28
x20 += x32 * L4_4; // x20:43/--
x21 += x32 * L4_5; // x21:44/28
x22 += x32 * L4_6; // x22:43/41
x23 += x32 * L4_7; // x23:45/41
x31 += (x30 >> 28); x30 &= M28UL; // x31:28/--, x30:28/--
x15 += x31 * L4_0; // x15:54/--
x16 += x31 * L4_1; // x16:53/42
x17 += x31 * L4_2; // x17:55/54
x18 += x31 * L4_3; // x18:56/44
x19 += x31 * L4_4; // x19:55/--
x20 += x31 * L4_5; // x20:56/43
x21 += x31 * L4_6; // x21:55/53
x22 += x31 * L4_7; // x22:57/53
//x30 += (x29 >> 28); x29 &= M28UL;
x14 += x30 * L4_0; // x14:54/--
x15 += x30 * L4_1; // x15:54/53
x16 += x30 * L4_2; // x16:56/--
x17 += x30 * L4_3; // x17:57/--
x18 += x30 * L4_4; // x18:56/55
x19 += x30 * L4_5; // x19:56/55
x20 += x30 * L4_6; // x20:57/--
x21 += x30 * L4_7; // x21:57/56
x29 += (x28 >> 28); x28 &= M28UL; // x29:28/--, x28:28/--
x13 += x29 * L4_0; // x13:54/--
x14 += x29 * L4_1; // x14:54/53
x15 += x29 * L4_2; // x15:56/--
x16 += x29 * L4_3; // x16:57/--
x17 += x29 * L4_4; // x17:57/55
x18 += x29 * L4_5; // x18:57/55
x19 += x29 * L4_6; // x19:57/52
x20 += x29 * L4_7; // x20:58/52
//x28 += (x27 >> 28); x27 &= M28UL;
x12 += x28 * L4_0; // x12:54/--
x13 += x28 * L4_1; // x13:54/53
x14 += x28 * L4_2; // x14:56/--
x15 += x28 * L4_3; // x15:57/--
x16 += x28 * L4_4; // x16:57/55
x17 += x28 * L4_5; // x17:58/--
x18 += x28 * L4_6; // x18:58/--
x19 += x28 * L4_7; // x19:58/53
x27 += (x26 >> 28); x26 &= M28UL; // x27:28/--, x26:28/--
x11 += x27 * L4_0; // x11:54/--
x12 += x27 * L4_1; // x12:54/53
x13 += x27 * L4_2; // x13:56/--
x14 += x27 * L4_3; // x14:57/--
x15 += x27 * L4_4; // x15:57/55
x16 += x27 * L4_5; // x16:58/--
x17 += x27 * L4_6; // x17:58/56
x18 += x27 * L4_7; // x18:59/--
//x26 += (x25 >> 28); x25 &= M28UL;
x10 += x26 * L4_0; // x10:54/--
x11 += x26 * L4_1; // x11:54/53
x12 += x26 * L4_2; // x12:56/--
x13 += x26 * L4_3; // x13:57/--
x14 += x26 * L4_4; // x14:57/55
x15 += x26 * L4_5; // x15:58/--
x16 += x26 * L4_6; // x16:58/56
x17 += x26 * L4_7; // x17:59/--
x25 += (x24 >> 28); x24 &= M28UL; // x25:28/--, x24:28/--
x09 += x25 * L4_0; // x09:54/--
x10 += x25 * L4_1; // x10:54/53
x11 += x25 * L4_2; // x11:56/--
x12 += x25 * L4_3; // x12:57/--
x13 += x25 * L4_4; // x13:57/55
x14 += x25 * L4_5; // x14:58/--
x15 += x25 * L4_6; // x15:58/56
x16 += x25 * L4_7; // x16:59/--
x21 += (x20 >> 28); x20 &= M28UL; // x21:58/--, x20:28/--
x22 += (x21 >> 28); x21 &= M28UL; // x22:57/54, x21:28/--
x23 += (x22 >> 28); x22 &= M28UL; // x23:45/42, x22:28/--
x24 += (x23 >> 28); x23 &= M28UL; // x24:28/18, x23:28/--
x08 += x24 * L4_0; // x08:54/--
x09 += x24 * L4_1; // x09:55/--
x10 += x24 * L4_2; // x10:56/46
x11 += x24 * L4_3; // x11:57/46
x12 += x24 * L4_4; // x12:57/55
x13 += x24 * L4_5; // x13:58/--
x14 += x24 * L4_6; // x14:58/56
x15 += x24 * L4_7; // x15:59/--
x07 += x23 * L4_0; // x07:54/--
x08 += x23 * L4_1; // x08:54/53
x09 += x23 * L4_2; // x09:56/53
x10 += x23 * L4_3; // x10:57/46
x11 += x23 * L4_4; // x11:57/55
x12 += x23 * L4_5; // x12:58/--
x13 += x23 * L4_6; // x13:58/56
x14 += x23 * L4_7; // x14:59/--
x06 += x22 * L4_0; // x06:54/--
x07 += x22 * L4_1; // x07:54/53
x08 += x22 * L4_2; // x08:56/--
x09 += x22 * L4_3; // x09:57/53
x10 += x22 * L4_4; // x10:57/55
x11 += x22 * L4_5; // x11:58/--
x12 += x22 * L4_6; // x12:58/56
x13 += x22 * L4_7; // x13:59/--
x18 += (x17 >> 28); x17 &= M28UL; // x18:59/31, x17:28/--
x19 += (x18 >> 28); x18 &= M28UL; // x19:58/54, x18:28/--
x20 += (x19 >> 28); x19 &= M28UL; // x20:30/29, x19:28/--
x21 += (x20 >> 28); x20 &= M28UL; // x21:28/03, x20:28/--
x05 += x21 * L4_0; // x05:54/--
x06 += x21 * L4_1; // x06:55/--
x07 += x21 * L4_2; // x07:56/31
x08 += x21 * L4_3; // x08:57/31
x09 += x21 * L4_4; // x09:57/56
x10 += x21 * L4_5; // x10:58/--
x11 += x21 * L4_6; // x11:58/56
x12 += x21 * L4_7; // x12:59/--
x04 += x20 * L4_0; // x04:54/--
x05 += x20 * L4_1; // x05:54/53
x06 += x20 * L4_2; // x06:56/53
x07 += x20 * L4_3; // x07:57/31
x08 += x20 * L4_4; // x08:57/55
x09 += x20 * L4_5; // x09:58/--
x10 += x20 * L4_6; // x10:58/56
x11 += x20 * L4_7; // x11:59/--
x03 += x19 * L4_0; // x03:54/--
x04 += x19 * L4_1; // x04:54/53
x05 += x19 * L4_2; // x05:56/--
x06 += x19 * L4_3; // x06:57/53
x07 += x19 * L4_4; // x07:57/55
x08 += x19 * L4_5; // x08:58/--
x09 += x19 * L4_6; // x09:58/56
x10 += x19 * L4_7; // x10:59/--
x15 += (x14 >> 28); x14 &= M28UL; // x15:59/31, x14:28/--
x16 += (x15 >> 28); x15 &= M28UL; // x16:59/32, x15:28/--
x17 += (x16 >> 28); x16 &= M28UL; // x17:31/29, x16:28/--
x18 += (x17 >> 28); x17 &= M28UL; // x18:28/04, x17:28/--
x02 += x18 * L4_0; // x02:54/--
x03 += x18 * L4_1; // x03:55/--
x04 += x18 * L4_2; // x04:56/32
x05 += x18 * L4_3; // x05:57/32
x06 += x18 * L4_4; // x06:57/56
x07 += x18 * L4_5; // x07:58/--
x08 += x18 * L4_6; // x08:58/56
x09 += x18 * L4_7; // x09:59/--
x01 += x17 * L4_0; // x01:54/--
x02 += x17 * L4_1; // x02:54/53
x03 += x17 * L4_2; // x03:56/53
x04 += x17 * L4_3; // x04:57/32
x05 += x17 * L4_4; // x05:57/55
x06 += x17 * L4_5; // x06:58/--
x07 += x17 * L4_6; // x07:58/56
x08 += x17 * L4_7; // x08:59/--
x16 *= 4;
x16 += (x15 >> 26); x15 &= M26UL;
x16 += 1; // x16:30/01
x00 += x16 * L_0;
x01 += x16 * L_1;
x02 += x16 * L_2;
x03 += x16 * L_3;
x04 += x16 * L_4;
x05 += x16 * L_5;
x06 += x16 * L_6;
x07 += x16 * L_7;
x01 += (x00 >> 28); x00 &= M28UL;
x02 += (x01 >> 28); x01 &= M28UL;
x03 += (x02 >> 28); x02 &= M28UL;
x04 += (x03 >> 28); x03 &= M28UL;
x05 += (x04 >> 28); x04 &= M28UL;
x06 += (x05 >> 28); x05 &= M28UL;
x07 += (x06 >> 28); x06 &= M28UL;
x08 += (x07 >> 28); x07 &= M28UL;
x09 += (x08 >> 28); x08 &= M28UL;
x10 += (x09 >> 28); x09 &= M28UL;
x11 += (x10 >> 28); x10 &= M28UL;
x12 += (x11 >> 28); x11 &= M28UL;
x13 += (x12 >> 28); x12 &= M28UL;
x14 += (x13 >> 28); x13 &= M28UL;
x15 += (x14 >> 28); x14 &= M28UL;
x16 = (x15 >> 26); x15 &= M26UL;
x16 -= 1;
Debug.Assert(x16 == 0UL || x16 == ulong.MaxValue);
x00 -= x16 & L_0;
x01 -= x16 & L_1;
x02 -= x16 & L_2;
x03 -= x16 & L_3;
x04 -= x16 & L_4;
x05 -= x16 & L_5;
x06 -= x16 & L_6;
x07 -= x16 & L_7;
x01 += (ulong)((long)x00 >> 28); x00 &= M28UL;
x02 += (ulong)((long)x01 >> 28); x01 &= M28UL;
x03 += (ulong)((long)x02 >> 28); x02 &= M28UL;
x04 += (ulong)((long)x03 >> 28); x03 &= M28UL;
x05 += (ulong)((long)x04 >> 28); x04 &= M28UL;
x06 += (ulong)((long)x05 >> 28); x05 &= M28UL;
x07 += (ulong)((long)x06 >> 28); x06 &= M28UL;
x08 += (ulong)((long)x07 >> 28); x07 &= M28UL;
x09 += (ulong)((long)x08 >> 28); x08 &= M28UL;
x10 += (ulong)((long)x09 >> 28); x09 &= M28UL;
x11 += (ulong)((long)x10 >> 28); x10 &= M28UL;
x12 += (ulong)((long)x11 >> 28); x11 &= M28UL;
x13 += (ulong)((long)x12 >> 28); x12 &= M28UL;
x14 += (ulong)((long)x13 >> 28); x13 &= M28UL;
x15 += (ulong)((long)x14 >> 28); x14 &= M28UL;
Debug.Assert(x15 >> 26 == 0UL);
byte[] r = new byte[ScalarBytes];
Encode56(x00 | (x01 << 28), r, 0);
Encode56(x02 | (x03 << 28), r, 7);
Encode56(x04 | (x05 << 28), r, 14);
Encode56(x06 | (x07 << 28), r, 21);
Encode56(x08 | (x09 << 28), r, 28);
Encode56(x10 | (x11 << 28), r, 35);
Encode56(x12 | (x13 << 28), r, 42);
Encode56(x14 | (x15 << 28), r, 49);
//r[ScalarBytes - 1] = 0;
return r;
}
private static void ScalarMult(byte[] k, PointExt p, PointExt r)
{
uint[] n = new uint[ScalarUints];
DecodeScalar(k, 0, n);
Debug.Assert(0U == (n[0] & 3));
Debug.Assert(1U == n[ScalarUints - 1] >> 31);
Nat.ShiftDownBits(ScalarUints, n, 2, 0U);
// Recode the scalar into signed-digit form
{
uint c1 = Nat.CAdd(ScalarUints, ~(int)n[0] & 1, n, L, n); Debug.Assert(c1 == 0U);
uint c2 = Nat.ShiftDownBit(ScalarUints, n, 1U); Debug.Assert(c2 == (1U << 31));
}
uint[] table = PointPrecompute(p, 8);
PointExt q = new PointExt();
PointLookup(n, 111, table, r);
for (int w = 110; w >= 0; --w)
{
for (int i = 0; i < 4; ++i)
{
PointDouble(r);
}
PointLookup(n, w, table, q);
PointAdd(q, r);
}
for (int i = 0; i < 2; ++i)
{
PointDouble(r);
}
}
private static void ScalarMultBase(byte[] k, PointExt r)
{
Precompute();
uint[] n = new uint[ScalarUints + 1];
DecodeScalar(k, 0, n);
// Recode the scalar into signed-digit form
{
n[ScalarUints] = 4U + Nat.CAdd(ScalarUints, ~(int)n[0] & 1, n, L, n);
uint c = Nat.ShiftDownBit(n.Length, n, 0);
Debug.Assert(c == (1U << 31));
}
PointPrecomp p = new PointPrecomp();
PointSetNeutral(r);
int cOff = PrecompSpacing - 1;
for (;;)
{
int tPos = cOff;
for (int b = 0; b < PrecompBlocks; ++b)
{
uint w = 0;
for (int t = 0; t < PrecompTeeth; ++t)
{
uint tBit = n[tPos >> 5] >> (tPos & 0x1F);
w &= ~(1U << t);
w ^= (tBit << t);
tPos += PrecompSpacing;
}
int sign = (int)(w >> (PrecompTeeth - 1)) & 1;
int abs = ((int)w ^ -sign) & PrecompMask;
Debug.Assert(sign == 0 || sign == 1);
Debug.Assert(0 <= abs && abs < PrecompPoints);
PointLookup(b, abs, p);
F.CNegate(sign, p.x);
PointAddPrecomp(p, r);
}
if (--cOff < 0)
break;
PointDouble(r);
}
}
private static void ScalarMultBaseEncoded(byte[] k, byte[] r, int rOff)
{
PointExt p = new PointExt();
ScalarMultBase(k, p);
if (0 == EncodePoint(p, r, rOff))
throw new InvalidOperationException();
}
internal static void ScalarMultBaseXY(byte[] k, int kOff, uint[] x, uint[] y)
{
byte[] n = new byte[ScalarBytes];
PruneScalar(k, kOff, n);
PointExt p = new PointExt();
ScalarMultBase(n, p);
if (0 == CheckPoint(p.x, p.y, p.z))
throw new InvalidOperationException();
F.Copy(p.x, 0, x, 0);
F.Copy(p.y, 0, y, 0);
}
private static void ScalarMultOrderVar(PointExt p, PointExt r)
{
int width = 5;
sbyte[] ws_p = GetWnafVar(L, width);
PointExt[] tp = PointPrecomputeVar(p, 1 << (width - 2));
PointSetNeutral(r);
for (int bit = 446; ;)
{
int wp = ws_p[bit];
if (wp != 0)
{
int sign = wp >> 31;
int index = (wp ^ sign) >> 1;
PointAddVar((sign != 0), tp[index], r);
}
if (--bit < 0)
break;
PointDouble(r);
}
}
private static void ScalarMultStrausVar(uint[] nb, uint[] np, PointExt p, PointExt r)
{
Precompute();
int width = 5;
sbyte[] ws_b = GetWnafVar(nb, WnafWidthBase);
sbyte[] ws_p = GetWnafVar(np, width);
PointExt[] tp = PointPrecomputeVar(p, 1 << (width - 2));
PointSetNeutral(r);
for (int bit = 446;;)
{
int wb = ws_b[bit];
if (wb != 0)
{
int sign = wb >> 31;
int index = (wb ^ sign) >> 1;
PointAddVar((sign != 0), precompBaseTable[index], r);
}
int wp = ws_p[bit];
if (wp != 0)
{
int sign = wp >> 31;
int index = (wp ^ sign) >> 1;
PointAddVar((sign != 0), tp[index], r);
}
if (--bit < 0)
break;
PointDouble(r);
}
}
public static void Sign(byte[] sk, int skOff, byte[] ctx, byte[] m, int mOff, int mLen, byte[] sig, int sigOff)
{
byte phflag = 0x00;
ImplSign(sk, skOff, ctx, phflag, m, mOff, mLen, sig, sigOff);
}
public static void Sign(byte[] sk, int skOff, byte[] pk, int pkOff, byte[] ctx, byte[] m, int mOff, int mLen, byte[] sig, int sigOff)
{
byte phflag = 0x00;
ImplSign(sk, skOff, pk, pkOff, ctx, phflag, m, mOff, mLen, sig, sigOff);
}
public static void SignPrehash(byte[] sk, int skOff, byte[] ctx, byte[] ph, int phOff, byte[] sig, int sigOff)
{
byte phflag = 0x01;
ImplSign(sk, skOff, ctx, phflag, ph, phOff, PrehashSize, sig, sigOff);
}
public static void SignPrehash(byte[] sk, int skOff, byte[] pk, int pkOff, byte[] ctx, byte[] ph, int phOff, byte[] sig, int sigOff)
{
byte phflag = 0x01;
ImplSign(sk, skOff, pk, pkOff, ctx, phflag, ph, phOff, PrehashSize, sig, sigOff);
}
public static void SignPrehash(byte[] sk, int skOff, byte[] ctx, IXof ph, byte[] sig, int sigOff)
{
byte[] m = new byte[PrehashSize];
if (PrehashSize != ph.DoFinal(m, 0, PrehashSize))
throw new ArgumentException("ph");
byte phflag = 0x01;
ImplSign(sk, skOff, ctx, phflag, m, 0, m.Length, sig, sigOff);
}
public static void SignPrehash(byte[] sk, int skOff, byte[] pk, int pkOff, byte[] ctx, IXof ph, byte[] sig, int sigOff)
{
byte[] m = new byte[PrehashSize];
if (PrehashSize != ph.DoFinal(m, 0, PrehashSize))
throw new ArgumentException("ph");
byte phflag = 0x01;
ImplSign(sk, skOff, pk, pkOff, ctx, phflag, m, 0, m.Length, sig, sigOff);
}
public static bool ValidatePublicKeyFull(byte[] pk, int pkOff)
{
PointExt p = new PointExt();
if (!DecodePointVar(pk, pkOff, false, p))
return false;
F.Normalize(p.x);
F.Normalize(p.y);
F.Normalize(p.z);
if (IsNeutralElementVar(p.x, p.y, p.z))
return false;
PointExt r = new PointExt();
ScalarMultOrderVar(p, r);
F.Normalize(r.x);
F.Normalize(r.y);
F.Normalize(r.z);
return IsNeutralElementVar(r.x, r.y, r.z);
}
public static bool ValidatePublicKeyPartial(byte[] pk, int pkOff)
{
PointExt p = new PointExt();
return DecodePointVar(pk, pkOff, false, p);
}
public static bool Verify(byte[] sig, int sigOff, byte[] pk, int pkOff, byte[] ctx, byte[] m, int mOff, int mLen)
{
byte phflag = 0x00;
return ImplVerify(sig, sigOff, pk, pkOff, ctx, phflag, m, mOff, mLen);
}
public static bool VerifyPrehash(byte[] sig, int sigOff, byte[] pk, int pkOff, byte[] ctx, byte[] ph, int phOff)
{
byte phflag = 0x01;
return ImplVerify(sig, sigOff, pk, pkOff, ctx, phflag, ph, phOff, PrehashSize);
}
public static bool VerifyPrehash(byte[] sig, int sigOff, byte[] pk, int pkOff, byte[] ctx, IXof ph)
{
byte[] m = new byte[PrehashSize];
if (PrehashSize != ph.DoFinal(m, 0, PrehashSize))
throw new ArgumentException("ph");
byte phflag = 0x01;
return ImplVerify(sig, sigOff, pk, pkOff, ctx, phflag, m, 0, m.Length);
}
}
}
#pragma warning restore
#endif