Mercurial > dropbear

annotate curve25519.c @ 1680:5e763ad6e2e0

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author Matt Johnston <matt@ucc.asn.au>
date Sun, 24 May 2020 13:34:19 +0800
parents d32bcb5c557d
children 41a0ff8d5a89
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1 /*
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2 * Dropbear - a SSH2 server
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3 *
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4 * Copyright (c) 2002,2003 Matt Johnston
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5 * All rights reserved.
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6 *
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7 * Permission is hereby granted, free of charge, to any person obtaining a copy
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8 * of this software and associated documentation files (the "Software"), to deal
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9 * in the Software without restriction, including without limitation the rights
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10 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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11 * copies of the Software, and to permit persons to whom the Software is
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12 * furnished to do so, subject to the following conditions:
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13 *
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14 * The above copyright notice and this permission notice shall be included in
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15 * all copies or substantial portions of the Software.
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16 *
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17 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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18 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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19 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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20 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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21 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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22 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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23 * SOFTWARE. */
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24
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25 #include "includes.h"
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26 #include "dbrandom.h"
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27 #include "curve25519.h"
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28
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29 #if DROPBEAR_CURVE25519 || DROPBEAR_ED25519
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30
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31 /* Modified TweetNaCl version 20140427, a self-contained public-domain C library.
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32 * https://tweetnacl.cr.yp.to/ */
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33
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34 #define FOR(i,n) for (i = 0;i < n;++i)
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35 #define sv static void
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36
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37 typedef unsigned char u8;
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38 typedef unsigned long u32;
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39 typedef unsigned long long u64;
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40 typedef long long i64;
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41 typedef i64 gf[16];
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42
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43 #if DROPBEAR_CURVE25519
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44 static const gf
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45 _121665 = {0xDB41,1};
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46 #endif /* DROPBEAR_CURVE25519 */
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47 #if DROPBEAR_ED25519
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48 static const gf
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49 gf0,
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50 gf1 = {1},
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51 D2 = {0xf159, 0x26b2, 0x9b94, 0xebd6, 0xb156, 0x8283, 0x149a, 0x00e0, 0xd130, 0xeef3, 0x80f2, 0x198e, 0xfce7, 0x56df, 0xd9dc, 0x2406},
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52 X = {0xd51a, 0x8f25, 0x2d60, 0xc956, 0xa7b2, 0x9525, 0xc760, 0x692c, 0xdc5c, 0xfdd6, 0xe231, 0xc0a4, 0x53fe, 0xcd6e, 0x36d3, 0x2169},
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53 Y = {0x6658, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666, 0x6666};
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54 #if DROPBEAR_SIGNKEY_VERIFY
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55 static const gf
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56 D = {0x78a3, 0x1359, 0x4dca, 0x75eb, 0xd8ab, 0x4141, 0x0a4d, 0x0070, 0xe898, 0x7779, 0x4079, 0x8cc7, 0xfe73, 0x2b6f, 0x6cee, 0x5203},
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57 I = {0xa0b0, 0x4a0e, 0x1b27, 0xc4ee, 0xe478, 0xad2f, 0x1806, 0x2f43, 0xd7a7, 0x3dfb, 0x0099, 0x2b4d, 0xdf0b, 0x4fc1, 0x2480, 0x2b83};
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58 #endif /* DROPBEAR_SIGNKEY_VERIFY */
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59 #endif /* DROPBEAR_ED25519 */
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60
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61 #if DROPBEAR_ED25519
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62 #if DROPBEAR_SIGNKEY_VERIFY
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63 static int vn(const u8 *x,const u8 *y,u32 n)
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64 {
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65 u32 i,d = 0;
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66 FOR(i,n) d |= x[i]^y[i];
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67 return (1 & ((d - 1) >> 8)) - 1;
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68 }
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69
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70 static int crypto_verify_32(const u8 *x,const u8 *y)
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71 {
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72 return vn(x,y,32);
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73 }
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74 #endif /* DROPBEAR_SIGNKEY_VERIFY */
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75
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76 sv set25519(gf r, const gf a)
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77 {
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78 int i;
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79 FOR(i,16) r[i]=a[i];
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80 }
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81 #endif /* DROPBEAR_ED25519 */
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82
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83 sv car25519(gf o)
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84 {
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85 int i;
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86 i64 c;
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87 FOR(i,16) {
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88 o[i]+=(1LL<<16);
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89 c=o[i]>>16;
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90 o[(i+1)*(i<15)]+=c-1+37*(c-1)*(i==15);
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91 o[i]-=c<<16;
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92 }
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93 }
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94
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95 sv sel25519(gf p,gf q,int b)
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96 {
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97 i64 t,i,c=~(b-1);
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98 FOR(i,16) {
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99 t= c&(p[i]^q[i]);
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100 p[i]^=t;
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101 q[i]^=t;
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102 }
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103 }
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104
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105 sv pack25519(u8 *o,const gf n)
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106 {
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107 int i,j,b;
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108 gf m,t;
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109 FOR(i,16) t[i]=n[i];
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110 car25519(t);
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111 car25519(t);
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112 car25519(t);
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113 FOR(j,2) {
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114 m[0]=t[0]-0xffed;
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115 for(i=1;i<15;i++) {
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116 m[i]=t[i]-0xffff-((m[i-1]>>16)&1);
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117 m[i-1]&=0xffff;
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118 }
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119 m[15]=t[15]-0x7fff-((m[14]>>16)&1);
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120 b=(m[15]>>16)&1;
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121 m[14]&=0xffff;
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122 sel25519(t,m,1-b);
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123 }
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124 FOR(i,16) {
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125 o[2*i]=t[i]&0xff;
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126 o[2*i+1]=t[i]>>8;
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127 }
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128 }
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129
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130 #if DROPBEAR_ED25519
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131 #if DROPBEAR_SIGNKEY_VERIFY
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132 static int neq25519(const gf a, const gf b)
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133 {
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134 u8 c[32],d[32];
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135 pack25519(c,a);
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136 pack25519(d,b);
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137 return crypto_verify_32(c,d);
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138 }
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139 #endif /* DROPBEAR_SIGNKEY_VERIFY */
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140
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141 static u8 par25519(const gf a)
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142 {
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143 u8 d[32];
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144 pack25519(d,a);
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145 return d[0]&1;
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146 }
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147 #endif /* DROPBEAR_ED25519 */
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148
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149 sv unpack25519(gf o, const u8 *n)
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150 {
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151 int i;
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152 FOR(i,16) o[i]=n[2*i]+((i64)n[2*i+1]<<8);
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153 o[15]&=0x7fff;
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154 }
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155
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156 sv A(gf o,const gf a,const gf b)
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157 {
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158 int i;
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159 FOR(i,16) o[i]=a[i]+b[i];
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160 }
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161
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162 sv Z(gf o,const gf a,const gf b)
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163 {
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164 int i;
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165 FOR(i,16) o[i]=a[i]-b[i];
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166 }
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167
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168 sv M(gf o,const gf a,const gf b)
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169 {
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170 i64 i,j,t[31];
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171 FOR(i,31) t[i]=0;
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172 FOR(i,16) FOR(j,16) t[i+j]+=a[i]*b[j];
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173 FOR(i,15) t[i]+=38*t[i+16];
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174 FOR(i,16) o[i]=t[i];
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175 car25519(o);
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176 car25519(o);
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177 }
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178
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179 sv S(gf o,const gf a)
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180 {
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181 M(o,a,a);
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182 }
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183
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184 sv inv25519(gf o,const gf i)
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185 {
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186 gf c;
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187 int a;
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188 FOR(a,16) c[a]=i[a];
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189 for(a=253;a>=0;a--) {
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190 S(c,c);
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191 if(a!=2&&a!=4) M(c,c,i);
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192 }
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193 FOR(a,16) o[a]=c[a];
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194 }
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195
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196 #if DROPBEAR_ED25519 && DROPBEAR_SIGNKEY_VERIFY
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197 sv pow2523(gf o,const gf i)
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198 {
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199 gf c;
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200 int a;
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201 FOR(a,16) c[a]=i[a];
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202 for(a=250;a>=0;a--) {
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203 S(c,c);
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204 if(a!=1) M(c,c,i);
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205 }
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206 FOR(a,16) o[a]=c[a];
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207 }
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208 #endif /* DROPBEAR_ED25519 && DROPBEAR_SIGNKEY_VERIFY */
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209
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210 #if DROPBEAR_CURVE25519
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211 int dropbear_curve25519_scalarmult(u8 *q,const u8 *n,const u8 *p)
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212 {
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213 u8 z[32];
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214 i64 x[80],r,i;
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215 gf a,b,c,d,e,f;
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216 FOR(i,31) z[i]=n[i];
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217 z[31]=(n[31]&127)|64;
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218 z[0]&=248;
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219 unpack25519(x,p);
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220 FOR(i,16) {
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221 b[i]=x[i];
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222 d[i]=a[i]=c[i]=0;
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223 }
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224 a[0]=d[0]=1;
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225 for(i=254;i>=0;--i) {
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226 r=(z[i>>3]>>(i&7))&1;
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227 sel25519(a,b,r);
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228 sel25519(c,d,r);
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229 A(e,a,c);
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230 Z(a,a,c);
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diff changeset
231 A(c,b,d);
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diff changeset
232 Z(b,b,d);
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diff changeset
233 S(d,e);
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diff changeset
234 S(f,a);
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diff changeset
235 M(a,c,a);
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diff changeset
236 M(c,b,e);
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diff changeset
237 A(e,a,c);
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diff changeset
238 Z(a,a,c);
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diff changeset
239 S(b,a);
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diff changeset
240 Z(c,d,f);
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diff changeset
241 M(a,c,_121665);
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diff changeset
242 A(a,a,d);
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diff changeset
243 M(c,c,a);
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diff changeset
244 M(a,d,f);
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diff changeset
245 M(d,b,x);
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diff changeset
246 S(b,e);
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diff changeset
247 sel25519(a,b,r);
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diff changeset
248 sel25519(c,d,r);
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249 }
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250 FOR(i,16) {
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251 x[i+16]=a[i];
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diff changeset
252 x[i+32]=c[i];
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diff changeset
253 x[i+48]=b[i];
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diff changeset
254 x[i+64]=d[i];
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diff changeset
255 }
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diff changeset
256 inv25519(x+32,x+32);
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diff changeset
257 M(x+16,x+16,x+32);
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diff changeset
258 pack25519(q,x+16);
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diff changeset
259 return 0;
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260 }
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diff changeset
261 #endif /* DROPBEAR_CURVE25519 */
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262
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263 #if DROPBEAR_ED25519
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264 static int crypto_hash(u8 *out,const u8 *m,u64 n)
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265 {
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266 hash_state hs;
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267
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268 sha512_init(&hs);
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269 sha512_process(&hs, m, n);
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270 return sha512_done(&hs, out);
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271 }
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272
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273 sv add(gf p[4],gf q[4])
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274 {
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275 gf a,b,c,d,t,e,f,g,h;
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276
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277 Z(a, p[1], p[0]);
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278 Z(t, q[1], q[0]);
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279 M(a, a, t);
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280 A(b, p[0], p[1]);
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diff changeset
281 A(t, q[0], q[1]);
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282 M(b, b, t);
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283 M(c, p[3], q[3]);
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284 M(c, c, D2);
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285 M(d, p[2], q[2]);
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286 A(d, d, d);
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287 Z(e, b, a);
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288 Z(f, d, c);
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289 A(g, d, c);
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290 A(h, b, a);
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291
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292 M(p[0], e, f);
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293 M(p[1], h, g);
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294 M(p[2], g, f);
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295 M(p[3], e, h);
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296 }
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297
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298 sv cswap(gf p[4],gf q[4],u8 b)
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299 {
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300 int i;
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301 FOR(i,4)
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302 sel25519(p[i],q[i],b);
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303 }
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304
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305 sv pack(u8 *r,gf p[4])
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306 {
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diff changeset
307 gf tx, ty, zi;
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308 inv25519(zi, p[2]);
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diff changeset
309 M(tx, p[0], zi);
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310 M(ty, p[1], zi);
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311 pack25519(r, ty);
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312 r[31] ^= par25519(tx) << 7;
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313 }
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314
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diff changeset
315 sv scalarmult(gf p[4],gf q[4],const u8 *s)
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316 {
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317 int i;
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318 set25519(p[0],gf0);
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319 set25519(p[1],gf1);
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diff changeset
320 set25519(p[2],gf1);
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321 set25519(p[3],gf0);
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322 for (i = 255;i >= 0;--i) {
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323 u8 b = (s[i/8]>>(i&7))&1;
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diff changeset
324 cswap(p,q,b);
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325 add(q,p);
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326 add(p,p);
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diff changeset
327 cswap(p,q,b);
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328 }
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329 }
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diff changeset
330
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diff changeset
331 sv scalarbase(gf p[4],const u8 *s)
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332 {
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diff changeset
333 gf q[4];
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334 set25519(q[0],X);
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diff changeset
335 set25519(q[1],Y);
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diff changeset
336 set25519(q[2],gf1);
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diff changeset
337 M(q[3],X,Y);
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diff changeset
338 scalarmult(p,q,s);
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339 }
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diff changeset
340
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diff changeset
341 int dropbear_ed25519_make_key(u8 *pk,u8 *sk)
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diff changeset
342 {
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diff changeset
343 u8 d[64];
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diff changeset
344 gf p[4];
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345
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diff changeset
346 genrandom(sk, 32);
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347
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diff changeset
348 crypto_hash(d, sk, 32);
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diff changeset
349 d[0] &= 248;
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350 d[31] &= 127;
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351 d[31] |= 64;
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diff changeset
352
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diff changeset
353 scalarbase(p,d);
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diff changeset
354 pack(pk,p);
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diff changeset
355
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diff changeset
356 return 0;
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diff changeset
357 }
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diff changeset
358
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diff changeset
359 static const u64 L[32] = {0xed, 0xd3, 0xf5, 0x5c, 0x1a, 0x63, 0x12, 0x58, 0xd6, 0x9c, 0xf7, 0xa2, 0xde, 0xf9, 0xde, 0x14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0x10};
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diff changeset
360
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diff changeset
361 sv modL(u8 *r,i64 x[64])
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diff changeset
362 {
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diff changeset
363 i64 carry,i,j;
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diff changeset
364 for (i = 63;i >= 32;--i) {
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diff changeset
365 carry = 0;
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diff changeset
366 for (j = i - 32;j < i - 12;++j) {
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diff changeset
367 x[j] += carry - 16 * x[i] * L[j - (i - 32)];
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diff changeset
368 carry = (x[j] + 128) >> 8;
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diff changeset
369 x[j] -= carry << 8;
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diff changeset
370 }
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diff changeset
371 x[j] += carry;
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diff changeset
372 x[i] = 0;
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diff changeset
373 }
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diff changeset
374 carry = 0;
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diff changeset
375 FOR(j,32) {
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diff changeset
376 x[j] += carry - (x[31] >> 4) * L[j];
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diff changeset
377 carry = x[j] >> 8;
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diff changeset
378 x[j] &= 255;
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diff changeset
379 }
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diff changeset
380 FOR(j,32) x[j] -= carry * L[j];
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diff changeset
381 FOR(i,32) {
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diff changeset
382 x[i+1] += x[i] >> 8;
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parents:
diff changeset
383 r[i] = x[i] & 255;
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parents:
diff changeset
384 }
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diff changeset
385 }
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parents:
diff changeset
386
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diff changeset
387 sv reduce(u8 *r)
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diff changeset
388 {
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diff changeset
389 i64 x[64],i;
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diff changeset
390 FOR(i,64) x[i] = (u64) r[i];
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diff changeset
391 FOR(i,64) r[i] = 0;
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parents:
diff changeset
392 modL(r,x);
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parents:
diff changeset
393 }
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parents:
diff changeset
394
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parents:
diff changeset
395 int dropbear_ed25519_sign(const u8 *m,u32 mlen,u8 *s,u32 *slen,const u8 *sk, const u8 *pk)
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parents:
diff changeset
396 {
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parents:
diff changeset
397 hash_state hs;
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parents:
diff changeset
398 u8 d[64],h[64],r[64];
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Vladislav Grishenko <themiron@users.noreply.github.com>
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399 i64 x[64];
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Vladislav Grishenko <themiron@users.noreply.github.com>
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400 gf p[4];
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Vladislav Grishenko <themiron@users.noreply.github.com>
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401 u32 i,j;
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Vladislav Grishenko <themiron@users.noreply.github.com>
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402
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Vladislav Grishenko <themiron@users.noreply.github.com>
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403 crypto_hash(d, sk, 32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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404 d[0] &= 248;
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Vladislav Grishenko <themiron@users.noreply.github.com>
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405 d[31] &= 127;
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Vladislav Grishenko <themiron@users.noreply.github.com>
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406 d[31] |= 64;
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407
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408 *slen = 64;
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409
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410 sha512_init(&hs);
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411 sha512_process(&hs,d + 32,32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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412 sha512_process(&hs,m,mlen);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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413 sha512_done(&hs,r);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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414 reduce(r);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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415 scalarbase(p,r);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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416 pack(s,p);
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417
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418 sha512_init(&hs);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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419 sha512_process(&hs,s,32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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420 sha512_process(&hs,pk,32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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421 sha512_process(&hs,m,mlen);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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422 sha512_done(&hs,h);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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423 reduce(h);
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424
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425 FOR(i,64) x[i] = 0;
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426 FOR(i,32) x[i] = (u64) r[i];
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427 FOR(i,32) FOR(j,32) x[i+j] += h[i] * (u64) d[j];
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428 modL(s + 32,x);
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429
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430 return 0;
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431 }
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432
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433 #if DROPBEAR_SIGNKEY_VERIFY
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434 static int unpackneg(gf r[4],const u8 p[32])
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435 {
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Vladislav Grishenko <themiron@users.noreply.github.com>
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436 gf t, chk, num, den, den2, den4, den6;
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Vladislav Grishenko <themiron@users.noreply.github.com>
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437 set25519(r[2],gf1);
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438 unpack25519(r[1],p);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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439 S(num,r[1]);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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440 M(den,num,D);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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441 Z(num,num,r[2]);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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442 A(den,r[2],den);
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443
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444 S(den2,den);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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445 S(den4,den2);
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446 M(den6,den4,den2);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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447 M(t,den6,num);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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448 M(t,t,den);
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449
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450 pow2523(t,t);
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451 M(t,t,num);
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452 M(t,t,den);
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453 M(t,t,den);
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454 M(r[0],t,den);
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455
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456 S(chk,r[0]);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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457 M(chk,chk,den);
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458 if (neq25519(chk, num)) M(r[0],r[0],I);
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459
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460 S(chk,r[0]);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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461 M(chk,chk,den);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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462 if (neq25519(chk, num)) return -1;
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463
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464 if (par25519(r[0]) == (p[31]>>7)) Z(r[0],gf0,r[0]);
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465
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466 M(r[3],r[0],r[1]);
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467 return 0;
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468 }
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parents:
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469
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
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470 int dropbear_ed25519_verify(const u8 *m,u32 mlen,const u8 *s,u32 slen,const u8 *pk)
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Vladislav Grishenko <themiron@users.noreply.github.com>
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471 {
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Vladislav Grishenko <themiron@users.noreply.github.com>
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diff changeset
472 hash_state hs;
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
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473 u8 t[32],h[64];
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Vladislav Grishenko <themiron@users.noreply.github.com>
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diff changeset
474 gf p[4],q[4];
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
475
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diff changeset
476 if (slen < 64) return -1;
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
477
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parents:
diff changeset
478 if (unpackneg(q,pk)) return -1;
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diff changeset
479
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diff changeset
480 sha512_init(&hs);
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Vladislav Grishenko <themiron@users.noreply.github.com>
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481 sha512_process(&hs,s,32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
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482 sha512_process(&hs,pk,32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
483 sha512_process(&hs,m,mlen);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
484 sha512_done(&hs,h);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
485
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
486 reduce(h);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
487 scalarmult(p,q,h);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
488
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Vladislav Grishenko <themiron@users.noreply.github.com>
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489 scalarbase(q,s + 32);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
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490 add(p,q);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
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491 pack(t,p);
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
492
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
493 if (crypto_verify_32(s, t))
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Vladislav Grishenko <themiron@users.noreply.github.com>
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diff changeset
494 return -1;
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parents:
diff changeset
495
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Vladislav Grishenko <themiron@users.noreply.github.com>
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diff changeset
496 return 0;
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Vladislav Grishenko <themiron@users.noreply.github.com>
parents:
diff changeset
497 }
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Vladislav Grishenko <themiron@users.noreply.github.com>
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498 #endif /* DROPBEAR_SIGNKEY_VERIFY */
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parents:
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499
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parents:
diff changeset
500 #endif /* DROPBEAR_ED25519 */
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501
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parents:
diff changeset
502 #endif /* DROPBEAR_CURVE25519 || DROPBEAR_ED25519 */