summary refs log tree commit diff
path: root/crypto/src/math/ec/rfc7748/X25519.cs
blob: 217ef8785cd2cde0f677244f9d51567a54f4c871 (plain) (blame)
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
using System;
using System.Diagnostics;

using Org.BouncyCastle.Math.EC.Rfc8032;
using Org.BouncyCastle.Security;
using Org.BouncyCastle.Utilities;

namespace Org.BouncyCastle.Math.EC.Rfc7748
{
    using F = X25519Field;

    public static class X25519
    {
        public const int PointSize = 32;
        public const int ScalarSize = 32;

        private const int C_A = 486662;
        private const int C_A24 = (C_A + 2)/4;

        //private static readonly int[] SqrtNeg486664 = { 0x03457E06, 0x03812ABF, 0x01A82CC6, 0x028A5BE8, 0x018B43A7,
        //    0x03FC4F7E, 0x02C23700, 0x006BBD27, 0x03A30500, 0x001E4DDB };

        public static bool CalculateAgreement(byte[] k, int kOff, byte[] u, int uOff, byte[] r, int rOff)
        {
            ScalarMult(k, kOff, u, uOff, r, rOff);
            return !Arrays.AreAllZeroes(r, rOff, PointSize);
        }

        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 DecodeScalar(byte[] k, int kOff, uint[] n)
        {
            for (int i = 0; i < 8; ++i)
            {
                n[i] = Decode32(k, kOff + i * 4);
            }

            n[0] &= 0xFFFFFFF8U;
            n[7] &= 0x7FFFFFFFU;
            n[7] |= 0x40000000U;
        }

        public static void GeneratePrivateKey(SecureRandom random, byte[] k)
        {
            random.NextBytes(k);

            k[0] &= 0xF8;
            k[ScalarSize - 1] &= 0x7F;
            k[ScalarSize - 1] |= 0x40;
        }

        public static void GeneratePublicKey(byte[] k, int kOff, byte[] r, int rOff)
        {
            ScalarMultBase(k, kOff, r, rOff);
        }

        private static void PointDouble(int[] x, int[] z)
        {
            int[] a = F.Create();
            int[] b = F.Create();

            F.Apm(x, z, a, b);
            F.Sqr(a, a);
            F.Sqr(b, b);
            F.Mul(a, b, x);
            F.Sub(a, b, a);
            F.Mul(a, C_A24, z);
            F.Add(z, b, z);
            F.Mul(z, a, z);
        }

        public static void Precompute()
        {
            Ed25519.Precompute();
        }

        public static void ScalarMult(byte[] k, int kOff, byte[] u, int uOff, byte[] r, int rOff)
        {
            uint[] n = new uint[8];     DecodeScalar(k, kOff, n);

            int[] x1 = F.Create();      F.Decode(u, uOff, x1);
            int[] x2 = F.Create();      F.Copy(x1, 0, x2, 0);
            int[] z2 = F.Create();      z2[0] = 1;
            int[] x3 = F.Create();      x3[0] = 1;
            int[] z3 = F.Create();

            int[] t1 = F.Create();
            int[] t2 = F.Create();

            Debug.Assert(n[7] >> 30 == 1U);

            int bit = 254, swap = 1;
            do
            {
                F.Apm(x3, z3, t1, x3);
                F.Apm(x2, z2, z3, x2);
                F.Mul(t1, x2, t1);
                F.Mul(x3, z3, x3);
                F.Sqr(z3, z3);
                F.Sqr(x2, x2);

                F.Sub(z3, x2, t2);
                F.Mul(t2, C_A24, z2);
                F.Add(z2, x2, z2);
                F.Mul(z2, t2, z2);
                F.Mul(x2, z3, x2);

                F.Apm(t1, x3, x3, z3);
                F.Sqr(x3, x3);
                F.Sqr(z3, z3);
                F.Mul(z3, x1, z3);

                --bit;

                int word = bit >> 5, shift = bit & 0x1F;
                int kt = (int)(n[word] >> shift) & 1;
                swap ^= kt;
                F.CSwap(swap, x2, x3);
                F.CSwap(swap, z2, z3);
                swap = kt;
            }
            while (bit >= 3);

            Debug.Assert(swap == 0);

            for (int i = 0; i < 3; ++i)
            {
                PointDouble(x2, z2);
            }

            F.Inv(z2, z2);
            F.Mul(x2, z2, x2);

            F.Normalize(x2);
            F.Encode(x2, r, rOff);
        }

        public static void ScalarMultBase(byte[] k, int kOff, byte[] r, int rOff)
        {
            int[] y = F.Create();
            int[] z = F.Create();

            Ed25519.ScalarMultBaseYZ(k, kOff, y, z);

            F.Apm(z, y, y, z);

            F.Inv(z, z);
            F.Mul(y, z, y);

            F.Normalize(y);
            F.Encode(y, r, rOff);
        }
    }
}