Mercurial > dropbear
annotate curve25519.c @ 1711:e9dba7abd939
Merge libtomcrypt v1.18.2
author | Matt Johnston <matt@ucc.asn.au> |
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date | Wed, 10 Jun 2020 23:16:13 +0800 |
parents | 41a0ff8d5a89 |
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rev | line source |
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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 void 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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231 A(c,b,d); |
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232 Z(b,b,d); |
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233 S(d,e); |
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234 S(f,a); |
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235 M(a,c,a); |
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236 M(c,b,e); |
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237 A(e,a,c); |
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238 Z(a,a,c); |
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239 S(b,a); |
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240 Z(c,d,f); |
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241 M(a,c,_121665); |
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242 A(a,a,d); |
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243 M(c,c,a); |
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244 M(a,d,f); |
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245 M(d,b,x); |
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246 S(b,e); |
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247 sel25519(a,b,r); |
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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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252 x[i+32]=c[i]; |
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253 x[i+48]=b[i]; |
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254 x[i+64]=d[i]; |
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255 } |
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256 inv25519(x+32,x+32); |
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257 M(x+16,x+16,x+32); |
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258 pack25519(q,x+16); |
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259 } |
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260 #endif /* DROPBEAR_CURVE25519 */ |
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261 |
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262 #if DROPBEAR_ED25519 |
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263 static int crypto_hash(u8 *out,const u8 *m,u64 n) |
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264 { |
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265 hash_state hs; |
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266 |
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267 sha512_init(&hs); |
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268 sha512_process(&hs, m, n); |
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269 return sha512_done(&hs, out); |
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270 } |
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271 |
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272 sv add(gf p[4],gf q[4]) |
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273 { |
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274 gf a,b,c,d,t,e,f,g,h; |
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275 |
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276 Z(a, p[1], p[0]); |
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277 Z(t, q[1], q[0]); |
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278 M(a, a, t); |
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279 A(b, p[0], p[1]); |
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280 A(t, q[0], q[1]); |
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281 M(b, b, t); |
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282 M(c, p[3], q[3]); |
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283 M(c, c, D2); |
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284 M(d, p[2], q[2]); |
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285 A(d, d, d); |
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286 Z(e, b, a); |
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287 Z(f, d, c); |
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288 A(g, d, c); |
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289 A(h, b, a); |
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290 |
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291 M(p[0], e, f); |
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292 M(p[1], h, g); |
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293 M(p[2], g, f); |
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294 M(p[3], e, h); |
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295 } |
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296 |
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297 sv cswap(gf p[4],gf q[4],u8 b) |
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298 { |
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299 int i; |
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300 FOR(i,4) |
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301 sel25519(p[i],q[i],b); |
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302 } |
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303 |
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304 sv pack(u8 *r,gf p[4]) |
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305 { |
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306 gf tx, ty, zi; |
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307 inv25519(zi, p[2]); |
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308 M(tx, p[0], zi); |
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309 M(ty, p[1], zi); |
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310 pack25519(r, ty); |
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311 r[31] ^= par25519(tx) << 7; |
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312 } |
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313 |
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314 sv scalarmult(gf p[4],gf q[4],const u8 *s) |
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315 { |
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316 int i; |
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317 set25519(p[0],gf0); |
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318 set25519(p[1],gf1); |
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319 set25519(p[2],gf1); |
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320 set25519(p[3],gf0); |
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321 for (i = 255;i >= 0;--i) { |
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322 u8 b = (s[i/8]>>(i&7))&1; |
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323 cswap(p,q,b); |
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324 add(q,p); |
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325 add(p,p); |
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326 cswap(p,q,b); |
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327 } |
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328 } |
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329 |
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330 sv scalarbase(gf p[4],const u8 *s) |
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331 { |
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332 gf q[4]; |
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333 set25519(q[0],X); |
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334 set25519(q[1],Y); |
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335 set25519(q[2],gf1); |
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336 M(q[3],X,Y); |
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337 scalarmult(p,q,s); |
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338 } |
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339 |
1707
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340 void dropbear_ed25519_make_key(u8 *pk,u8 *sk) |
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341 { |
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342 u8 d[64]; |
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343 gf p[4]; |
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344 |
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345 genrandom(sk, 32); |
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346 |
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347 crypto_hash(d, sk, 32); |
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348 d[0] &= 248; |
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349 d[31] &= 127; |
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350 d[31] |= 64; |
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351 |
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352 scalarbase(p,d); |
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353 pack(pk,p); |
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354 } |
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355 |
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356 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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357 |
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358 sv modL(u8 *r,i64 x[64]) |
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359 { |
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360 i64 carry,i,j; |
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361 for (i = 63;i >= 32;--i) { |
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362 carry = 0; |
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363 for (j = i - 32;j < i - 12;++j) { |
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364 x[j] += carry - 16 * x[i] * L[j - (i - 32)]; |
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365 carry = (x[j] + 128) >> 8; |
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366 x[j] -= carry << 8; |
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367 } |
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368 x[j] += carry; |
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369 x[i] = 0; |
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370 } |
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371 carry = 0; |
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372 FOR(j,32) { |
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373 x[j] += carry - (x[31] >> 4) * L[j]; |
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374 carry = x[j] >> 8; |
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375 x[j] &= 255; |
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376 } |
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377 FOR(j,32) x[j] -= carry * L[j]; |
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378 FOR(i,32) { |
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379 x[i+1] += x[i] >> 8; |
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380 r[i] = x[i] & 255; |
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381 } |
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382 } |
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383 |
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384 sv reduce(u8 *r) |
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385 { |
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386 i64 x[64],i; |
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387 FOR(i,64) x[i] = (u64) r[i]; |
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388 FOR(i,64) r[i] = 0; |
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389 modL(r,x); |
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390 } |
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391 |
1707
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void return types for curve25519
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392 void dropbear_ed25519_sign(const u8 *m,u32 mlen,u8 *s,u32 *slen,const u8 *sk, const u8 *pk) |
1659
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393 { |
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394 hash_state hs; |
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395 u8 d[64],h[64],r[64]; |
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396 i64 x[64]; |
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397 gf p[4]; |
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398 u32 i,j; |
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399 |
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400 crypto_hash(d, sk, 32); |
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401 d[0] &= 248; |
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402 d[31] &= 127; |
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403 d[31] |= 64; |
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404 |
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405 *slen = 64; |
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406 |
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407 sha512_init(&hs); |
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408 sha512_process(&hs,d + 32,32); |
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409 sha512_process(&hs,m,mlen); |
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410 sha512_done(&hs,r); |
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411 reduce(r); |
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412 scalarbase(p,r); |
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413 pack(s,p); |
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414 |
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415 sha512_init(&hs); |
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416 sha512_process(&hs,s,32); |
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417 sha512_process(&hs,pk,32); |
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418 sha512_process(&hs,m,mlen); |
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419 sha512_done(&hs,h); |
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420 reduce(h); |
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421 |
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422 FOR(i,64) x[i] = 0; |
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423 FOR(i,32) x[i] = (u64) r[i]; |
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424 FOR(i,32) FOR(j,32) x[i+j] += h[i] * (u64) d[j]; |
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425 modL(s + 32,x); |
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426 } |
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427 |
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428 #if DROPBEAR_SIGNKEY_VERIFY |
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429 static int unpackneg(gf r[4],const u8 p[32]) |
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430 { |
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431 gf t, chk, num, den, den2, den4, den6; |
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432 set25519(r[2],gf1); |
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433 unpack25519(r[1],p); |
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434 S(num,r[1]); |
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435 M(den,num,D); |
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436 Z(num,num,r[2]); |
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437 A(den,r[2],den); |
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438 |
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439 S(den2,den); |
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440 S(den4,den2); |
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441 M(den6,den4,den2); |
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442 M(t,den6,num); |
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443 M(t,t,den); |
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444 |
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445 pow2523(t,t); |
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446 M(t,t,num); |
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447 M(t,t,den); |
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448 M(t,t,den); |
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449 M(r[0],t,den); |
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450 |
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451 S(chk,r[0]); |
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452 M(chk,chk,den); |
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453 if (neq25519(chk, num)) M(r[0],r[0],I); |
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454 |
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455 S(chk,r[0]); |
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456 M(chk,chk,den); |
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457 if (neq25519(chk, num)) return -1; |
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458 |
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459 if (par25519(r[0]) == (p[31]>>7)) Z(r[0],gf0,r[0]); |
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460 |
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461 M(r[3],r[0],r[1]); |
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462 return 0; |
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463 } |
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464 |
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465 int dropbear_ed25519_verify(const u8 *m,u32 mlen,const u8 *s,u32 slen,const u8 *pk) |
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466 { |
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467 hash_state hs; |
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468 u8 t[32],h[64]; |
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469 gf p[4],q[4]; |
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470 |
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471 if (slen < 64) return -1; |
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472 |
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473 if (unpackneg(q,pk)) return -1; |
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474 |
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475 sha512_init(&hs); |
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476 sha512_process(&hs,s,32); |
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477 sha512_process(&hs,pk,32); |
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478 sha512_process(&hs,m,mlen); |
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479 sha512_done(&hs,h); |
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480 |
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481 reduce(h); |
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482 scalarmult(p,q,h); |
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483 |
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484 scalarbase(q,s + 32); |
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485 add(p,q); |
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486 pack(t,p); |
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487 |
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488 if (crypto_verify_32(s, t)) |
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489 return -1; |
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490 |
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491 return 0; |
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492 } |
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493 #endif /* DROPBEAR_SIGNKEY_VERIFY */ |
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494 |
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495 #endif /* DROPBEAR_ED25519 */ |
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496 |
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497 #endif /* DROPBEAR_CURVE25519 || DROPBEAR_ED25519 */ |