1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
|
using System;
using System.Diagnostics;
using Org.BouncyCastle.Crypto.Utilities;
namespace Org.BouncyCastle.Math.Raw
{
internal abstract class Nat448
{
public static void Copy64(ulong[] x, ulong[] z)
{
z[0] = x[0];
z[1] = x[1];
z[2] = x[2];
z[3] = x[3];
z[4] = x[4];
z[5] = x[5];
z[6] = x[6];
}
public static void Copy64(ulong[] x, int xOff, ulong[] z, int zOff)
{
z[zOff + 0] = x[xOff + 0];
z[zOff + 1] = x[xOff + 1];
z[zOff + 2] = x[xOff + 2];
z[zOff + 3] = x[xOff + 3];
z[zOff + 4] = x[xOff + 4];
z[zOff + 5] = x[xOff + 5];
z[zOff + 6] = x[xOff + 6];
}
public static ulong[] Create64()
{
return new ulong[7];
}
public static ulong[] CreateExt64()
{
return new ulong[14];
}
public static bool Eq64(ulong[] x, ulong[] y)
{
for (int i = 6; i >= 0; --i)
{
if (x[i] != y[i])
{
return false;
}
}
return true;
}
public static bool IsOne64(ulong[] x)
{
if (x[0] != 1UL)
{
return false;
}
for (int i = 1; i < 7; ++i)
{
if (x[i] != 0UL)
{
return false;
}
}
return true;
}
public static bool IsZero64(ulong[] x)
{
for (int i = 0; i < 7; ++i)
{
if (x[i] != 0UL)
{
return false;
}
}
return true;
}
public static void Mul(uint[] x, uint[] y, uint[] zz)
{
Nat224.Mul(x, y, zz);
Nat224.Mul(x, 7, y, 7, zz, 14);
uint c21 = Nat224.AddToEachOther(zz, 7, zz, 14);
uint c14 = c21 + Nat224.AddTo(zz, 0, zz, 7, 0U);
c21 += Nat224.AddTo(zz, 21, zz, 14, c14);
uint[] dx = Nat224.Create(), dy = Nat224.Create();
bool neg = Nat224.Diff(x, 7, x, 0, dx, 0) != Nat224.Diff(y, 7, y, 0, dy, 0);
uint[] tt = Nat224.CreateExt();
Nat224.Mul(dx, dy, tt);
c21 += neg ? Nat.AddTo(14, tt, 0, zz, 7) : (uint)Nat.SubFrom(14, tt, 0, zz, 7);
Nat.AddWordAt(28, c21, zz, 21);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static void Mul(ReadOnlySpan<uint> x, ReadOnlySpan<uint> y, Span<uint> zz)
{
Nat224.Mul(x, y, zz);
Nat224.Mul(x[7..], y[7..], zz[14..]);
uint c21 = Nat224.AddToEachOther(zz[7..], zz[14..]);
uint c14 = c21 + Nat224.AddTo(zz, zz[7..], 0U);
c21 += Nat224.AddTo(zz[21..], zz[14..], c14);
Span<uint> dx = stackalloc uint[7];
Span<uint> dy = stackalloc uint[7];
bool neg = Nat224.Diff(x[7..], x, dx) != Nat224.Diff(y[7..], y, dy);
Span<uint> tt = stackalloc uint[14];
Nat224.Mul(dx, dy, tt);
c21 += neg ? Nat.AddTo(14, tt, zz[7..]) : (uint)Nat.SubFrom(14, tt, zz[7..]);
Nat.AddWordAt(28, c21, zz, 21);
}
#endif
public static void Square(uint[] x, uint[] zz)
{
Nat224.Square(x, zz);
Nat224.Square(x, 7, zz, 14);
uint c21 = Nat224.AddToEachOther(zz, 7, zz, 14);
uint c14 = c21 + Nat224.AddTo(zz, 0, zz, 7, 0U);
c21 += Nat224.AddTo(zz, 21, zz, 14, c14);
uint[] dx = Nat224.Create();
Nat224.Diff(x, 7, x, 0, dx, 0);
uint[] tt = Nat224.CreateExt();
Nat224.Square(dx, tt);
c21 += (uint)Nat.SubFrom(14, tt, 0, zz, 7);
Nat.AddWordAt(28, c21, zz, 21);
}
#if NETCOREAPP2_1_OR_GREATER || NETSTANDARD2_1_OR_GREATER
public static void Square(ReadOnlySpan<uint> x, Span<uint> zz)
{
Nat224.Square(x, zz);
Nat224.Square(x[7..], zz[14..]);
uint c21 = Nat224.AddToEachOther(zz[7..], zz[14..]);
uint c14 = c21 + Nat224.AddTo(zz, zz[7..], 0U);
c21 += Nat224.AddTo(zz[21..], zz[14..], c14);
Span<uint> dx = stackalloc uint[7];
Nat224.Diff(x[7..], x, dx);
Span<uint> tt = stackalloc uint[14];
Nat224.Square(dx, tt);
c21 += (uint)Nat.SubFrom(14, tt, zz[7..]);
Nat.AddWordAt(28, c21, zz, 21);
}
#endif
public static BigInteger ToBigInteger64(ulong[] x)
{
byte[] bs = new byte[56];
for (int i = 0; i < 7; ++i)
{
ulong x_i = x[i];
if (x_i != 0L)
{
Pack.UInt64_To_BE(x_i, bs, (6 - i) << 3);
}
}
return new BigInteger(1, bs);
}
}
}
|