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1 <?php 2 3 if (class_exists('ParagonIE_Sodium_Core32_X25519', false)) { 4 return; 5 } 6 7 /** 8 * Class ParagonIE_Sodium_Core32_X25519 9 */ 10 abstract class ParagonIE_Sodium_Core32_X25519 extends ParagonIE_Sodium_Core32_Curve25519 11 { 12 /** 13 * Alters the objects passed to this method in place. 14 * 15 * @internal You should not use this directly from another application 16 * 17 * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f 18 * @param ParagonIE_Sodium_Core32_Curve25519_Fe $g 19 * @param int $b 20 * @return void 21 * @throws SodiumException 22 * @throws TypeError 23 * @psalm-suppress MixedMethodCall 24 */ 25 public static function fe_cswap( 26 ParagonIE_Sodium_Core32_Curve25519_Fe $f, 27 ParagonIE_Sodium_Core32_Curve25519_Fe $g, 28 $b = 0 29 ) { 30 $f0 = (int) $f[0]->toInt(); 31 $f1 = (int) $f[1]->toInt(); 32 $f2 = (int) $f[2]->toInt(); 33 $f3 = (int) $f[3]->toInt(); 34 $f4 = (int) $f[4]->toInt(); 35 $f5 = (int) $f[5]->toInt(); 36 $f6 = (int) $f[6]->toInt(); 37 $f7 = (int) $f[7]->toInt(); 38 $f8 = (int) $f[8]->toInt(); 39 $f9 = (int) $f[9]->toInt(); 40 $g0 = (int) $g[0]->toInt(); 41 $g1 = (int) $g[1]->toInt(); 42 $g2 = (int) $g[2]->toInt(); 43 $g3 = (int) $g[3]->toInt(); 44 $g4 = (int) $g[4]->toInt(); 45 $g5 = (int) $g[5]->toInt(); 46 $g6 = (int) $g[6]->toInt(); 47 $g7 = (int) $g[7]->toInt(); 48 $g8 = (int) $g[8]->toInt(); 49 $g9 = (int) $g[9]->toInt(); 50 $b = -$b; 51 /** @var int $x0 */ 52 $x0 = ($f0 ^ $g0) & $b; 53 /** @var int $x1 */ 54 $x1 = ($f1 ^ $g1) & $b; 55 /** @var int $x2 */ 56 $x2 = ($f2 ^ $g2) & $b; 57 /** @var int $x3 */ 58 $x3 = ($f3 ^ $g3) & $b; 59 /** @var int $x4 */ 60 $x4 = ($f4 ^ $g4) & $b; 61 /** @var int $x5 */ 62 $x5 = ($f5 ^ $g5) & $b; 63 /** @var int $x6 */ 64 $x6 = ($f6 ^ $g6) & $b; 65 /** @var int $x7 */ 66 $x7 = ($f7 ^ $g7) & $b; 67 /** @var int $x8 */ 68 $x8 = ($f8 ^ $g8) & $b; 69 /** @var int $x9 */ 70 $x9 = ($f9 ^ $g9) & $b; 71 $f[0] = ParagonIE_Sodium_Core32_Int32::fromInt($f0 ^ $x0); 72 $f[1] = ParagonIE_Sodium_Core32_Int32::fromInt($f1 ^ $x1); 73 $f[2] = ParagonIE_Sodium_Core32_Int32::fromInt($f2 ^ $x2); 74 $f[3] = ParagonIE_Sodium_Core32_Int32::fromInt($f3 ^ $x3); 75 $f[4] = ParagonIE_Sodium_Core32_Int32::fromInt($f4 ^ $x4); 76 $f[5] = ParagonIE_Sodium_Core32_Int32::fromInt($f5 ^ $x5); 77 $f[6] = ParagonIE_Sodium_Core32_Int32::fromInt($f6 ^ $x6); 78 $f[7] = ParagonIE_Sodium_Core32_Int32::fromInt($f7 ^ $x7); 79 $f[8] = ParagonIE_Sodium_Core32_Int32::fromInt($f8 ^ $x8); 80 $f[9] = ParagonIE_Sodium_Core32_Int32::fromInt($f9 ^ $x9); 81 $g[0] = ParagonIE_Sodium_Core32_Int32::fromInt($g0 ^ $x0); 82 $g[1] = ParagonIE_Sodium_Core32_Int32::fromInt($g1 ^ $x1); 83 $g[2] = ParagonIE_Sodium_Core32_Int32::fromInt($g2 ^ $x2); 84 $g[3] = ParagonIE_Sodium_Core32_Int32::fromInt($g3 ^ $x3); 85 $g[4] = ParagonIE_Sodium_Core32_Int32::fromInt($g4 ^ $x4); 86 $g[5] = ParagonIE_Sodium_Core32_Int32::fromInt($g5 ^ $x5); 87 $g[6] = ParagonIE_Sodium_Core32_Int32::fromInt($g6 ^ $x6); 88 $g[7] = ParagonIE_Sodium_Core32_Int32::fromInt($g7 ^ $x7); 89 $g[8] = ParagonIE_Sodium_Core32_Int32::fromInt($g8 ^ $x8); 90 $g[9] = ParagonIE_Sodium_Core32_Int32::fromInt($g9 ^ $x9); 91 } 92 93 /** 94 * @internal You should not use this directly from another application 95 * 96 * @param ParagonIE_Sodium_Core32_Curve25519_Fe $f 97 * @return ParagonIE_Sodium_Core32_Curve25519_Fe 98 * @throws SodiumException 99 * @throws TypeError 100 * @psalm-suppress MixedAssignment 101 * @psalm-suppress MixedMethodCall 102 */ 103 public static function fe_mul121666(ParagonIE_Sodium_Core32_Curve25519_Fe $f) 104 { 105 /** @var array<int, ParagonIE_Sodium_Core32_Int64> $h */ 106 $h = array(); 107 for ($i = 0; $i < 10; ++$i) { 108 $h[$i] = $f[$i]->toInt64()->mulInt(121666, 17); 109 } 110 111 $carry9 = $h[9]->addInt(1 << 24)->shiftRight(25); 112 $h[0] = $h[0]->addInt64($carry9->mulInt(19, 5)); 113 $h[9] = $h[9]->subInt64($carry9->shiftLeft(25)); 114 115 $carry1 = $h[1]->addInt(1 << 24)->shiftRight(25); 116 $h[2] = $h[2]->addInt64($carry1); 117 $h[1] = $h[1]->subInt64($carry1->shiftLeft(25)); 118 119 $carry3 = $h[3]->addInt(1 << 24)->shiftRight(25); 120 $h[4] = $h[4]->addInt64($carry3); 121 $h[3] = $h[3]->subInt64($carry3->shiftLeft(25)); 122 123 $carry5 = $h[5]->addInt(1 << 24)->shiftRight(25); 124 $h[6] = $h[6]->addInt64($carry5); 125 $h[5] = $h[5]->subInt64($carry5->shiftLeft(25)); 126 127 $carry7 = $h[7]->addInt(1 << 24)->shiftRight(25); 128 $h[8] = $h[8]->addInt64($carry7); 129 $h[7] = $h[7]->subInt64($carry7->shiftLeft(25)); 130 131 $carry0 = $h[0]->addInt(1 << 25)->shiftRight(26); 132 $h[1] = $h[1]->addInt64($carry0); 133 $h[0] = $h[0]->subInt64($carry0->shiftLeft(26)); 134 135 $carry2 = $h[2]->addInt(1 << 25)->shiftRight(26); 136 $h[3] = $h[3]->addInt64($carry2); 137 $h[2] = $h[2]->subInt64($carry2->shiftLeft(26)); 138 139 $carry4 = $h[4]->addInt(1 << 25)->shiftRight(26); 140 $h[5] = $h[5]->addInt64($carry4); 141 $h[4] = $h[4]->subInt64($carry4->shiftLeft(26)); 142 143 $carry6 = $h[6]->addInt(1 << 25)->shiftRight(26); 144 $h[7] = $h[7]->addInt64($carry6); 145 $h[6] = $h[6]->subInt64($carry6->shiftLeft(26)); 146 147 $carry8 = $h[8]->addInt(1 << 25)->shiftRight(26); 148 $h[9] = $h[9]->addInt64($carry8); 149 $h[8] = $h[8]->subInt64($carry8->shiftLeft(26)); 150 151 for ($i = 0; $i < 10; ++$i) { 152 $h[$i] = $h[$i]->toInt32(); 153 } 154 /** @var array<int, ParagonIE_Sodium_Core32_Int32> $h2 */ 155 $h2 = $h; 156 return ParagonIE_Sodium_Core32_Curve25519_Fe::fromArray($h2); 157 } 158 159 /** 160 * @internal You should not use this directly from another application 161 * 162 * Inline comments preceded by # are from libsodium's ref10 code. 163 * 164 * @param string $n 165 * @param string $p 166 * @return string 167 * @throws SodiumException 168 * @throws TypeError 169 */ 170 public static function crypto_scalarmult_curve25519_ref10($n, $p) 171 { 172 # for (i = 0;i < 32;++i) e[i] = n[i]; 173 $e = '' . $n; 174 # e[0] &= 248; 175 $e[0] = self::intToChr( 176 self::chrToInt($e[0]) & 248 177 ); 178 # e[31] &= 127; 179 # e[31] |= 64; 180 $e[31] = self::intToChr( 181 (self::chrToInt($e[31]) & 127) | 64 182 ); 183 # fe_frombytes(x1,p); 184 $x1 = self::fe_frombytes($p); 185 # fe_1(x2); 186 $x2 = self::fe_1(); 187 # fe_0(z2); 188 $z2 = self::fe_0(); 189 # fe_copy(x3,x1); 190 $x3 = self::fe_copy($x1); 191 # fe_1(z3); 192 $z3 = self::fe_1(); 193 194 # swap = 0; 195 /** @var int $swap */ 196 $swap = 0; 197 198 # for (pos = 254;pos >= 0;--pos) { 199 for ($pos = 254; $pos >= 0; --$pos) { 200 # b = e[pos / 8] >> (pos & 7); 201 /** @var int $b */ 202 $b = self::chrToInt( 203 $e[(int) floor($pos / 8)] 204 ) >> ($pos & 7); 205 # b &= 1; 206 $b &= 1; 207 208 # swap ^= b; 209 $swap ^= $b; 210 211 # fe_cswap(x2,x3,swap); 212 self::fe_cswap($x2, $x3, $swap); 213 214 # fe_cswap(z2,z3,swap); 215 self::fe_cswap($z2, $z3, $swap); 216 217 # swap = b; 218 /** @var int $swap */ 219 $swap = $b; 220 221 # fe_sub(tmp0,x3,z3); 222 $tmp0 = self::fe_sub($x3, $z3); 223 224 # fe_sub(tmp1,x2,z2); 225 $tmp1 = self::fe_sub($x2, $z2); 226 227 # fe_add(x2,x2,z2); 228 $x2 = self::fe_add($x2, $z2); 229 230 # fe_add(z2,x3,z3); 231 $z2 = self::fe_add($x3, $z3); 232 233 # fe_mul(z3,tmp0,x2); 234 $z3 = self::fe_mul($tmp0, $x2); 235 236 # fe_mul(z2,z2,tmp1); 237 $z2 = self::fe_mul($z2, $tmp1); 238 239 # fe_sq(tmp0,tmp1); 240 $tmp0 = self::fe_sq($tmp1); 241 242 # fe_sq(tmp1,x2); 243 $tmp1 = self::fe_sq($x2); 244 245 # fe_add(x3,z3,z2); 246 $x3 = self::fe_add($z3, $z2); 247 248 # fe_sub(z2,z3,z2); 249 $z2 = self::fe_sub($z3, $z2); 250 251 # fe_mul(x2,tmp1,tmp0); 252 $x2 = self::fe_mul($tmp1, $tmp0); 253 254 # fe_sub(tmp1,tmp1,tmp0); 255 $tmp1 = self::fe_sub($tmp1, $tmp0); 256 257 # fe_sq(z2,z2); 258 $z2 = self::fe_sq($z2); 259 260 # fe_mul121666(z3,tmp1); 261 $z3 = self::fe_mul121666($tmp1); 262 263 # fe_sq(x3,x3); 264 $x3 = self::fe_sq($x3); 265 266 # fe_add(tmp0,tmp0,z3); 267 $tmp0 = self::fe_add($tmp0, $z3); 268 269 # fe_mul(z3,x1,z2); 270 $z3 = self::fe_mul($x1, $z2); 271 272 # fe_mul(z2,tmp1,tmp0); 273 $z2 = self::fe_mul($tmp1, $tmp0); 274 } 275 276 # fe_cswap(x2,x3,swap); 277 self::fe_cswap($x2, $x3, $swap); 278 279 # fe_cswap(z2,z3,swap); 280 self::fe_cswap($z2, $z3, $swap); 281 282 # fe_invert(z2,z2); 283 $z2 = self::fe_invert($z2); 284 285 # fe_mul(x2,x2,z2); 286 $x2 = self::fe_mul($x2, $z2); 287 # fe_tobytes(q,x2); 288 return (string) self::fe_tobytes($x2); 289 } 290 291 /** 292 * @internal You should not use this directly from another application 293 * 294 * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY 295 * @param ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ 296 * @return ParagonIE_Sodium_Core32_Curve25519_Fe 297 * @throws SodiumException 298 * @throws TypeError 299 */ 300 public static function edwards_to_montgomery( 301 ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsY, 302 ParagonIE_Sodium_Core32_Curve25519_Fe $edwardsZ 303 ) { 304 $tempX = self::fe_add($edwardsZ, $edwardsY); 305 $tempZ = self::fe_sub($edwardsZ, $edwardsY); 306 $tempZ = self::fe_invert($tempZ); 307 return self::fe_mul($tempX, $tempZ); 308 } 309 310 /** 311 * @internal You should not use this directly from another application 312 * 313 * @param string $n 314 * @return string 315 * @throws SodiumException 316 * @throws TypeError 317 */ 318 public static function crypto_scalarmult_curve25519_ref10_base($n) 319 { 320 # for (i = 0;i < 32;++i) e[i] = n[i]; 321 $e = '' . $n; 322 323 # e[0] &= 248; 324 $e[0] = self::intToChr( 325 self::chrToInt($e[0]) & 248 326 ); 327 328 # e[31] &= 127; 329 # e[31] |= 64; 330 $e[31] = self::intToChr( 331 (self::chrToInt($e[31]) & 127) | 64 332 ); 333 334 $A = self::ge_scalarmult_base($e); 335 if ( 336 !($A->Y instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) 337 || 338 !($A->Z instanceof ParagonIE_Sodium_Core32_Curve25519_Fe) 339 ) { 340 throw new TypeError('Null points encountered'); 341 } 342 $pk = self::edwards_to_montgomery($A->Y, $A->Z); 343 return self::fe_tobytes($pk); 344 } 345 }
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| Generated : Sat Nov 23 08:20:01 2024 | Cross-referenced by PHPXref |