github.com/emmansun/gmsm@v0.29.1/internal/sm2ec/fiat/sm2p256_fiat64.go (about) 1 // Code generated by Fiat Cryptography. DO NOT EDIT. 2 // 3 // Autogenerated: word_by_word_montgomery --lang Go --no-wide-int --cmovznz-by-mul --relax-primitive-carry-to-bitwidth 32,64 --internal-static --public-function-case camelCase --public-type-case camelCase --private-function-case camelCase --private-type-case camelCase --doc-text-before-function-name '' --doc-newline-before-package-declaration --doc-prepend-header 'Code generated by Fiat Cryptography. DO NOT EDIT.' --package-name fiat --no-prefix-fiat sm2p256 64 '2^256 - 2^224 - 2^96 + 2^64 - 1' mul square add sub one from_montgomery to_montgomery selectznz to_bytes from_bytes nonzero opp msat divstep divstep_precomp 4 // 5 // curve description: sm2p256 6 // 7 // machine_wordsize = 64 (from "64") 8 // 9 // requested operations: mul, square, add, sub, one, from_montgomery, to_montgomery, selectznz, to_bytes, from_bytes, nonzero, opp, msat, divstep, divstep_precomp 10 // 11 // m = 0xfffffffeffffffffffffffffffffffffffffffff00000000ffffffffffffffff (from "2^256 - 2^224 - 2^96 + 2^64 - 1") 12 // 13 // 14 // 15 // NOTE: In addition to the bounds specified above each function, all 16 // 17 // functions synthesized for this Montgomery arithmetic require the 18 // 19 // input to be strictly less than the prime modulus (m), and also 20 // 21 // require the input to be in the unique saturated representation. 22 // 23 // All functions also ensure that these two properties are true of 24 // 25 // return values. 26 // 27 // 28 // 29 // Computed values: 30 // 31 // eval z = z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) 32 // 33 // bytes_eval z = z[0] + (z[1] << 8) + (z[2] << 16) + (z[3] << 24) + (z[4] << 32) + (z[5] << 40) + (z[6] << 48) + (z[7] << 56) + (z[8] << 64) + (z[9] << 72) + (z[10] << 80) + (z[11] << 88) + (z[12] << 96) + (z[13] << 104) + (z[14] << 112) + (z[15] << 120) + (z[16] << 128) + (z[17] << 136) + (z[18] << 144) + (z[19] << 152) + (z[20] << 160) + (z[21] << 168) + (z[22] << 176) + (z[23] << 184) + (z[24] << 192) + (z[25] << 200) + (z[26] << 208) + (z[27] << 216) + (z[28] << 224) + (z[29] << 232) + (z[30] << 240) + (z[31] << 248) 34 // 35 // twos_complement_eval z = let x1 := z[0] + (z[1] << 64) + (z[2] << 128) + (z[3] << 192) in 36 // 37 // if x1 & (2^256-1) < 2^255 then x1 & (2^256-1) else (x1 & (2^256-1)) - 2^256 38 39 package fiat 40 41 import "math/bits" 42 43 type sm2p256Uint1 uint64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927 44 type sm2p256Int1 int64 // We use uint64 instead of a more narrow type for performance reasons; see https://github.com/mit-plv/fiat-crypto/pull/1006#issuecomment-892625927 45 46 // The type sm2p256MontgomeryDomainFieldElement is a field element in the Montgomery domain. 47 // 48 // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 49 type sm2p256MontgomeryDomainFieldElement [4]uint64 50 51 // The type sm2p256NonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain. 52 // 53 // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 54 type sm2p256NonMontgomeryDomainFieldElement [4]uint64 55 56 // sm2p256CmovznzU64 is a single-word conditional move. 57 // 58 // Postconditions: 59 // out1 = (if arg1 = 0 then arg2 else arg3) 60 // 61 // Input Bounds: 62 // arg1: [0x0 ~> 0x1] 63 // arg2: [0x0 ~> 0xffffffffffffffff] 64 // arg3: [0x0 ~> 0xffffffffffffffff] 65 // Output Bounds: 66 // out1: [0x0 ~> 0xffffffffffffffff] 67 func sm2p256CmovznzU64(out1 *uint64, arg1 sm2p256Uint1, arg2 uint64, arg3 uint64) { 68 x1 := (uint64(arg1) * 0xffffffffffffffff) 69 x2 := ((x1 & arg3) | ((^x1) & arg2)) 70 *out1 = x2 71 } 72 73 // sm2p256Mul multiplies two field elements in the Montgomery domain. 74 // 75 // Preconditions: 76 // 0 ≤ eval arg1 < m 77 // 0 ≤ eval arg2 < m 78 // Postconditions: 79 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg2)) mod m 80 // 0 ≤ eval out1 < m 81 // 82 func sm2p256Mul(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement, arg2 *sm2p256MontgomeryDomainFieldElement) { 83 x1 := arg1[1] 84 x2 := arg1[2] 85 x3 := arg1[3] 86 x4 := arg1[0] 87 var x5 uint64 88 var x6 uint64 89 x6, x5 = bits.Mul64(x4, arg2[3]) 90 var x7 uint64 91 var x8 uint64 92 x8, x7 = bits.Mul64(x4, arg2[2]) 93 var x9 uint64 94 var x10 uint64 95 x10, x9 = bits.Mul64(x4, arg2[1]) 96 var x11 uint64 97 var x12 uint64 98 x12, x11 = bits.Mul64(x4, arg2[0]) 99 var x13 uint64 100 var x14 uint64 101 x13, x14 = bits.Add64(x12, x9, uint64(0x0)) 102 var x15 uint64 103 var x16 uint64 104 x15, x16 = bits.Add64(x10, x7, uint64(sm2p256Uint1(x14))) 105 var x17 uint64 106 var x18 uint64 107 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256Uint1(x16))) 108 x19 := (uint64(sm2p256Uint1(x18)) + x6) 109 var x20 uint64 110 var x21 uint64 111 x21, x20 = bits.Mul64(x11, 0xfffffffeffffffff) 112 var x22 uint64 113 var x23 uint64 114 x23, x22 = bits.Mul64(x11, 0xffffffffffffffff) 115 var x24 uint64 116 var x25 uint64 117 x25, x24 = bits.Mul64(x11, 0xffffffff00000000) 118 var x26 uint64 119 var x27 uint64 120 x27, x26 = bits.Mul64(x11, 0xffffffffffffffff) 121 var x28 uint64 122 var x29 uint64 123 x28, x29 = bits.Add64(x27, x24, uint64(0x0)) 124 var x30 uint64 125 var x31 uint64 126 x30, x31 = bits.Add64(x25, x22, uint64(sm2p256Uint1(x29))) 127 var x32 uint64 128 var x33 uint64 129 x32, x33 = bits.Add64(x23, x20, uint64(sm2p256Uint1(x31))) 130 x34 := (uint64(sm2p256Uint1(x33)) + x21) 131 var x36 uint64 132 _, x36 = bits.Add64(x11, x26, uint64(0x0)) 133 var x37 uint64 134 var x38 uint64 135 x37, x38 = bits.Add64(x13, x28, uint64(sm2p256Uint1(x36))) 136 var x39 uint64 137 var x40 uint64 138 x39, x40 = bits.Add64(x15, x30, uint64(sm2p256Uint1(x38))) 139 var x41 uint64 140 var x42 uint64 141 x41, x42 = bits.Add64(x17, x32, uint64(sm2p256Uint1(x40))) 142 var x43 uint64 143 var x44 uint64 144 x43, x44 = bits.Add64(x19, x34, uint64(sm2p256Uint1(x42))) 145 var x45 uint64 146 var x46 uint64 147 x46, x45 = bits.Mul64(x1, arg2[3]) 148 var x47 uint64 149 var x48 uint64 150 x48, x47 = bits.Mul64(x1, arg2[2]) 151 var x49 uint64 152 var x50 uint64 153 x50, x49 = bits.Mul64(x1, arg2[1]) 154 var x51 uint64 155 var x52 uint64 156 x52, x51 = bits.Mul64(x1, arg2[0]) 157 var x53 uint64 158 var x54 uint64 159 x53, x54 = bits.Add64(x52, x49, uint64(0x0)) 160 var x55 uint64 161 var x56 uint64 162 x55, x56 = bits.Add64(x50, x47, uint64(sm2p256Uint1(x54))) 163 var x57 uint64 164 var x58 uint64 165 x57, x58 = bits.Add64(x48, x45, uint64(sm2p256Uint1(x56))) 166 x59 := (uint64(sm2p256Uint1(x58)) + x46) 167 var x60 uint64 168 var x61 uint64 169 x60, x61 = bits.Add64(x37, x51, uint64(0x0)) 170 var x62 uint64 171 var x63 uint64 172 x62, x63 = bits.Add64(x39, x53, uint64(sm2p256Uint1(x61))) 173 var x64 uint64 174 var x65 uint64 175 x64, x65 = bits.Add64(x41, x55, uint64(sm2p256Uint1(x63))) 176 var x66 uint64 177 var x67 uint64 178 x66, x67 = bits.Add64(x43, x57, uint64(sm2p256Uint1(x65))) 179 var x68 uint64 180 var x69 uint64 181 x68, x69 = bits.Add64(uint64(sm2p256Uint1(x44)), x59, uint64(sm2p256Uint1(x67))) 182 var x70 uint64 183 var x71 uint64 184 x71, x70 = bits.Mul64(x60, 0xfffffffeffffffff) 185 var x72 uint64 186 var x73 uint64 187 x73, x72 = bits.Mul64(x60, 0xffffffffffffffff) 188 var x74 uint64 189 var x75 uint64 190 x75, x74 = bits.Mul64(x60, 0xffffffff00000000) 191 var x76 uint64 192 var x77 uint64 193 x77, x76 = bits.Mul64(x60, 0xffffffffffffffff) 194 var x78 uint64 195 var x79 uint64 196 x78, x79 = bits.Add64(x77, x74, uint64(0x0)) 197 var x80 uint64 198 var x81 uint64 199 x80, x81 = bits.Add64(x75, x72, uint64(sm2p256Uint1(x79))) 200 var x82 uint64 201 var x83 uint64 202 x82, x83 = bits.Add64(x73, x70, uint64(sm2p256Uint1(x81))) 203 x84 := (uint64(sm2p256Uint1(x83)) + x71) 204 var x86 uint64 205 _, x86 = bits.Add64(x60, x76, uint64(0x0)) 206 var x87 uint64 207 var x88 uint64 208 x87, x88 = bits.Add64(x62, x78, uint64(sm2p256Uint1(x86))) 209 var x89 uint64 210 var x90 uint64 211 x89, x90 = bits.Add64(x64, x80, uint64(sm2p256Uint1(x88))) 212 var x91 uint64 213 var x92 uint64 214 x91, x92 = bits.Add64(x66, x82, uint64(sm2p256Uint1(x90))) 215 var x93 uint64 216 var x94 uint64 217 x93, x94 = bits.Add64(x68, x84, uint64(sm2p256Uint1(x92))) 218 x95 := (uint64(sm2p256Uint1(x94)) + uint64(sm2p256Uint1(x69))) 219 var x96 uint64 220 var x97 uint64 221 x97, x96 = bits.Mul64(x2, arg2[3]) 222 var x98 uint64 223 var x99 uint64 224 x99, x98 = bits.Mul64(x2, arg2[2]) 225 var x100 uint64 226 var x101 uint64 227 x101, x100 = bits.Mul64(x2, arg2[1]) 228 var x102 uint64 229 var x103 uint64 230 x103, x102 = bits.Mul64(x2, arg2[0]) 231 var x104 uint64 232 var x105 uint64 233 x104, x105 = bits.Add64(x103, x100, uint64(0x0)) 234 var x106 uint64 235 var x107 uint64 236 x106, x107 = bits.Add64(x101, x98, uint64(sm2p256Uint1(x105))) 237 var x108 uint64 238 var x109 uint64 239 x108, x109 = bits.Add64(x99, x96, uint64(sm2p256Uint1(x107))) 240 x110 := (uint64(sm2p256Uint1(x109)) + x97) 241 var x111 uint64 242 var x112 uint64 243 x111, x112 = bits.Add64(x87, x102, uint64(0x0)) 244 var x113 uint64 245 var x114 uint64 246 x113, x114 = bits.Add64(x89, x104, uint64(sm2p256Uint1(x112))) 247 var x115 uint64 248 var x116 uint64 249 x115, x116 = bits.Add64(x91, x106, uint64(sm2p256Uint1(x114))) 250 var x117 uint64 251 var x118 uint64 252 x117, x118 = bits.Add64(x93, x108, uint64(sm2p256Uint1(x116))) 253 var x119 uint64 254 var x120 uint64 255 x119, x120 = bits.Add64(x95, x110, uint64(sm2p256Uint1(x118))) 256 var x121 uint64 257 var x122 uint64 258 x122, x121 = bits.Mul64(x111, 0xfffffffeffffffff) 259 var x123 uint64 260 var x124 uint64 261 x124, x123 = bits.Mul64(x111, 0xffffffffffffffff) 262 var x125 uint64 263 var x126 uint64 264 x126, x125 = bits.Mul64(x111, 0xffffffff00000000) 265 var x127 uint64 266 var x128 uint64 267 x128, x127 = bits.Mul64(x111, 0xffffffffffffffff) 268 var x129 uint64 269 var x130 uint64 270 x129, x130 = bits.Add64(x128, x125, uint64(0x0)) 271 var x131 uint64 272 var x132 uint64 273 x131, x132 = bits.Add64(x126, x123, uint64(sm2p256Uint1(x130))) 274 var x133 uint64 275 var x134 uint64 276 x133, x134 = bits.Add64(x124, x121, uint64(sm2p256Uint1(x132))) 277 x135 := (uint64(sm2p256Uint1(x134)) + x122) 278 var x137 uint64 279 _, x137 = bits.Add64(x111, x127, uint64(0x0)) 280 var x138 uint64 281 var x139 uint64 282 x138, x139 = bits.Add64(x113, x129, uint64(sm2p256Uint1(x137))) 283 var x140 uint64 284 var x141 uint64 285 x140, x141 = bits.Add64(x115, x131, uint64(sm2p256Uint1(x139))) 286 var x142 uint64 287 var x143 uint64 288 x142, x143 = bits.Add64(x117, x133, uint64(sm2p256Uint1(x141))) 289 var x144 uint64 290 var x145 uint64 291 x144, x145 = bits.Add64(x119, x135, uint64(sm2p256Uint1(x143))) 292 x146 := (uint64(sm2p256Uint1(x145)) + uint64(sm2p256Uint1(x120))) 293 var x147 uint64 294 var x148 uint64 295 x148, x147 = bits.Mul64(x3, arg2[3]) 296 var x149 uint64 297 var x150 uint64 298 x150, x149 = bits.Mul64(x3, arg2[2]) 299 var x151 uint64 300 var x152 uint64 301 x152, x151 = bits.Mul64(x3, arg2[1]) 302 var x153 uint64 303 var x154 uint64 304 x154, x153 = bits.Mul64(x3, arg2[0]) 305 var x155 uint64 306 var x156 uint64 307 x155, x156 = bits.Add64(x154, x151, uint64(0x0)) 308 var x157 uint64 309 var x158 uint64 310 x157, x158 = bits.Add64(x152, x149, uint64(sm2p256Uint1(x156))) 311 var x159 uint64 312 var x160 uint64 313 x159, x160 = bits.Add64(x150, x147, uint64(sm2p256Uint1(x158))) 314 x161 := (uint64(sm2p256Uint1(x160)) + x148) 315 var x162 uint64 316 var x163 uint64 317 x162, x163 = bits.Add64(x138, x153, uint64(0x0)) 318 var x164 uint64 319 var x165 uint64 320 x164, x165 = bits.Add64(x140, x155, uint64(sm2p256Uint1(x163))) 321 var x166 uint64 322 var x167 uint64 323 x166, x167 = bits.Add64(x142, x157, uint64(sm2p256Uint1(x165))) 324 var x168 uint64 325 var x169 uint64 326 x168, x169 = bits.Add64(x144, x159, uint64(sm2p256Uint1(x167))) 327 var x170 uint64 328 var x171 uint64 329 x170, x171 = bits.Add64(x146, x161, uint64(sm2p256Uint1(x169))) 330 var x172 uint64 331 var x173 uint64 332 x173, x172 = bits.Mul64(x162, 0xfffffffeffffffff) 333 var x174 uint64 334 var x175 uint64 335 x175, x174 = bits.Mul64(x162, 0xffffffffffffffff) 336 var x176 uint64 337 var x177 uint64 338 x177, x176 = bits.Mul64(x162, 0xffffffff00000000) 339 var x178 uint64 340 var x179 uint64 341 x179, x178 = bits.Mul64(x162, 0xffffffffffffffff) 342 var x180 uint64 343 var x181 uint64 344 x180, x181 = bits.Add64(x179, x176, uint64(0x0)) 345 var x182 uint64 346 var x183 uint64 347 x182, x183 = bits.Add64(x177, x174, uint64(sm2p256Uint1(x181))) 348 var x184 uint64 349 var x185 uint64 350 x184, x185 = bits.Add64(x175, x172, uint64(sm2p256Uint1(x183))) 351 x186 := (uint64(sm2p256Uint1(x185)) + x173) 352 var x188 uint64 353 _, x188 = bits.Add64(x162, x178, uint64(0x0)) 354 var x189 uint64 355 var x190 uint64 356 x189, x190 = bits.Add64(x164, x180, uint64(sm2p256Uint1(x188))) 357 var x191 uint64 358 var x192 uint64 359 x191, x192 = bits.Add64(x166, x182, uint64(sm2p256Uint1(x190))) 360 var x193 uint64 361 var x194 uint64 362 x193, x194 = bits.Add64(x168, x184, uint64(sm2p256Uint1(x192))) 363 var x195 uint64 364 var x196 uint64 365 x195, x196 = bits.Add64(x170, x186, uint64(sm2p256Uint1(x194))) 366 x197 := (uint64(sm2p256Uint1(x196)) + uint64(sm2p256Uint1(x171))) 367 var x198 uint64 368 var x199 uint64 369 x198, x199 = bits.Sub64(x189, 0xffffffffffffffff, uint64(0x0)) 370 var x200 uint64 371 var x201 uint64 372 x200, x201 = bits.Sub64(x191, 0xffffffff00000000, uint64(sm2p256Uint1(x199))) 373 var x202 uint64 374 var x203 uint64 375 x202, x203 = bits.Sub64(x193, 0xffffffffffffffff, uint64(sm2p256Uint1(x201))) 376 var x204 uint64 377 var x205 uint64 378 x204, x205 = bits.Sub64(x195, 0xfffffffeffffffff, uint64(sm2p256Uint1(x203))) 379 var x207 uint64 380 _, x207 = bits.Sub64(x197, uint64(0x0), uint64(sm2p256Uint1(x205))) 381 var x208 uint64 382 sm2p256CmovznzU64(&x208, sm2p256Uint1(x207), x198, x189) 383 var x209 uint64 384 sm2p256CmovznzU64(&x209, sm2p256Uint1(x207), x200, x191) 385 var x210 uint64 386 sm2p256CmovznzU64(&x210, sm2p256Uint1(x207), x202, x193) 387 var x211 uint64 388 sm2p256CmovznzU64(&x211, sm2p256Uint1(x207), x204, x195) 389 out1[0] = x208 390 out1[1] = x209 391 out1[2] = x210 392 out1[3] = x211 393 } 394 395 // sm2p256Square squares a field element in the Montgomery domain. 396 // 397 // Preconditions: 398 // 0 ≤ eval arg1 < m 399 // Postconditions: 400 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m 401 // 0 ≤ eval out1 < m 402 // 403 func sm2p256Square(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement) { 404 x1 := arg1[1] 405 x2 := arg1[2] 406 x3 := arg1[3] 407 x4 := arg1[0] 408 var x5 uint64 409 var x6 uint64 410 x6, x5 = bits.Mul64(x4, arg1[3]) 411 var x7 uint64 412 var x8 uint64 413 x8, x7 = bits.Mul64(x4, arg1[2]) 414 var x9 uint64 415 var x10 uint64 416 x10, x9 = bits.Mul64(x4, arg1[1]) 417 var x11 uint64 418 var x12 uint64 419 x12, x11 = bits.Mul64(x4, arg1[0]) 420 var x13 uint64 421 var x14 uint64 422 x13, x14 = bits.Add64(x12, x9, uint64(0x0)) 423 var x15 uint64 424 var x16 uint64 425 x15, x16 = bits.Add64(x10, x7, uint64(sm2p256Uint1(x14))) 426 var x17 uint64 427 var x18 uint64 428 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256Uint1(x16))) 429 x19 := (uint64(sm2p256Uint1(x18)) + x6) 430 var x20 uint64 431 var x21 uint64 432 x21, x20 = bits.Mul64(x11, 0xfffffffeffffffff) 433 var x22 uint64 434 var x23 uint64 435 x23, x22 = bits.Mul64(x11, 0xffffffffffffffff) 436 var x24 uint64 437 var x25 uint64 438 x25, x24 = bits.Mul64(x11, 0xffffffff00000000) 439 var x26 uint64 440 var x27 uint64 441 x27, x26 = bits.Mul64(x11, 0xffffffffffffffff) 442 var x28 uint64 443 var x29 uint64 444 x28, x29 = bits.Add64(x27, x24, uint64(0x0)) 445 var x30 uint64 446 var x31 uint64 447 x30, x31 = bits.Add64(x25, x22, uint64(sm2p256Uint1(x29))) 448 var x32 uint64 449 var x33 uint64 450 x32, x33 = bits.Add64(x23, x20, uint64(sm2p256Uint1(x31))) 451 x34 := (uint64(sm2p256Uint1(x33)) + x21) 452 var x36 uint64 453 _, x36 = bits.Add64(x11, x26, uint64(0x0)) 454 var x37 uint64 455 var x38 uint64 456 x37, x38 = bits.Add64(x13, x28, uint64(sm2p256Uint1(x36))) 457 var x39 uint64 458 var x40 uint64 459 x39, x40 = bits.Add64(x15, x30, uint64(sm2p256Uint1(x38))) 460 var x41 uint64 461 var x42 uint64 462 x41, x42 = bits.Add64(x17, x32, uint64(sm2p256Uint1(x40))) 463 var x43 uint64 464 var x44 uint64 465 x43, x44 = bits.Add64(x19, x34, uint64(sm2p256Uint1(x42))) 466 var x45 uint64 467 var x46 uint64 468 x46, x45 = bits.Mul64(x1, arg1[3]) 469 var x47 uint64 470 var x48 uint64 471 x48, x47 = bits.Mul64(x1, arg1[2]) 472 var x49 uint64 473 var x50 uint64 474 x50, x49 = bits.Mul64(x1, arg1[1]) 475 var x51 uint64 476 var x52 uint64 477 x52, x51 = bits.Mul64(x1, arg1[0]) 478 var x53 uint64 479 var x54 uint64 480 x53, x54 = bits.Add64(x52, x49, uint64(0x0)) 481 var x55 uint64 482 var x56 uint64 483 x55, x56 = bits.Add64(x50, x47, uint64(sm2p256Uint1(x54))) 484 var x57 uint64 485 var x58 uint64 486 x57, x58 = bits.Add64(x48, x45, uint64(sm2p256Uint1(x56))) 487 x59 := (uint64(sm2p256Uint1(x58)) + x46) 488 var x60 uint64 489 var x61 uint64 490 x60, x61 = bits.Add64(x37, x51, uint64(0x0)) 491 var x62 uint64 492 var x63 uint64 493 x62, x63 = bits.Add64(x39, x53, uint64(sm2p256Uint1(x61))) 494 var x64 uint64 495 var x65 uint64 496 x64, x65 = bits.Add64(x41, x55, uint64(sm2p256Uint1(x63))) 497 var x66 uint64 498 var x67 uint64 499 x66, x67 = bits.Add64(x43, x57, uint64(sm2p256Uint1(x65))) 500 var x68 uint64 501 var x69 uint64 502 x68, x69 = bits.Add64(uint64(sm2p256Uint1(x44)), x59, uint64(sm2p256Uint1(x67))) 503 var x70 uint64 504 var x71 uint64 505 x71, x70 = bits.Mul64(x60, 0xfffffffeffffffff) 506 var x72 uint64 507 var x73 uint64 508 x73, x72 = bits.Mul64(x60, 0xffffffffffffffff) 509 var x74 uint64 510 var x75 uint64 511 x75, x74 = bits.Mul64(x60, 0xffffffff00000000) 512 var x76 uint64 513 var x77 uint64 514 x77, x76 = bits.Mul64(x60, 0xffffffffffffffff) 515 var x78 uint64 516 var x79 uint64 517 x78, x79 = bits.Add64(x77, x74, uint64(0x0)) 518 var x80 uint64 519 var x81 uint64 520 x80, x81 = bits.Add64(x75, x72, uint64(sm2p256Uint1(x79))) 521 var x82 uint64 522 var x83 uint64 523 x82, x83 = bits.Add64(x73, x70, uint64(sm2p256Uint1(x81))) 524 x84 := (uint64(sm2p256Uint1(x83)) + x71) 525 var x86 uint64 526 _, x86 = bits.Add64(x60, x76, uint64(0x0)) 527 var x87 uint64 528 var x88 uint64 529 x87, x88 = bits.Add64(x62, x78, uint64(sm2p256Uint1(x86))) 530 var x89 uint64 531 var x90 uint64 532 x89, x90 = bits.Add64(x64, x80, uint64(sm2p256Uint1(x88))) 533 var x91 uint64 534 var x92 uint64 535 x91, x92 = bits.Add64(x66, x82, uint64(sm2p256Uint1(x90))) 536 var x93 uint64 537 var x94 uint64 538 x93, x94 = bits.Add64(x68, x84, uint64(sm2p256Uint1(x92))) 539 x95 := (uint64(sm2p256Uint1(x94)) + uint64(sm2p256Uint1(x69))) 540 var x96 uint64 541 var x97 uint64 542 x97, x96 = bits.Mul64(x2, arg1[3]) 543 var x98 uint64 544 var x99 uint64 545 x99, x98 = bits.Mul64(x2, arg1[2]) 546 var x100 uint64 547 var x101 uint64 548 x101, x100 = bits.Mul64(x2, arg1[1]) 549 var x102 uint64 550 var x103 uint64 551 x103, x102 = bits.Mul64(x2, arg1[0]) 552 var x104 uint64 553 var x105 uint64 554 x104, x105 = bits.Add64(x103, x100, uint64(0x0)) 555 var x106 uint64 556 var x107 uint64 557 x106, x107 = bits.Add64(x101, x98, uint64(sm2p256Uint1(x105))) 558 var x108 uint64 559 var x109 uint64 560 x108, x109 = bits.Add64(x99, x96, uint64(sm2p256Uint1(x107))) 561 x110 := (uint64(sm2p256Uint1(x109)) + x97) 562 var x111 uint64 563 var x112 uint64 564 x111, x112 = bits.Add64(x87, x102, uint64(0x0)) 565 var x113 uint64 566 var x114 uint64 567 x113, x114 = bits.Add64(x89, x104, uint64(sm2p256Uint1(x112))) 568 var x115 uint64 569 var x116 uint64 570 x115, x116 = bits.Add64(x91, x106, uint64(sm2p256Uint1(x114))) 571 var x117 uint64 572 var x118 uint64 573 x117, x118 = bits.Add64(x93, x108, uint64(sm2p256Uint1(x116))) 574 var x119 uint64 575 var x120 uint64 576 x119, x120 = bits.Add64(x95, x110, uint64(sm2p256Uint1(x118))) 577 var x121 uint64 578 var x122 uint64 579 x122, x121 = bits.Mul64(x111, 0xfffffffeffffffff) 580 var x123 uint64 581 var x124 uint64 582 x124, x123 = bits.Mul64(x111, 0xffffffffffffffff) 583 var x125 uint64 584 var x126 uint64 585 x126, x125 = bits.Mul64(x111, 0xffffffff00000000) 586 var x127 uint64 587 var x128 uint64 588 x128, x127 = bits.Mul64(x111, 0xffffffffffffffff) 589 var x129 uint64 590 var x130 uint64 591 x129, x130 = bits.Add64(x128, x125, uint64(0x0)) 592 var x131 uint64 593 var x132 uint64 594 x131, x132 = bits.Add64(x126, x123, uint64(sm2p256Uint1(x130))) 595 var x133 uint64 596 var x134 uint64 597 x133, x134 = bits.Add64(x124, x121, uint64(sm2p256Uint1(x132))) 598 x135 := (uint64(sm2p256Uint1(x134)) + x122) 599 var x137 uint64 600 _, x137 = bits.Add64(x111, x127, uint64(0x0)) 601 var x138 uint64 602 var x139 uint64 603 x138, x139 = bits.Add64(x113, x129, uint64(sm2p256Uint1(x137))) 604 var x140 uint64 605 var x141 uint64 606 x140, x141 = bits.Add64(x115, x131, uint64(sm2p256Uint1(x139))) 607 var x142 uint64 608 var x143 uint64 609 x142, x143 = bits.Add64(x117, x133, uint64(sm2p256Uint1(x141))) 610 var x144 uint64 611 var x145 uint64 612 x144, x145 = bits.Add64(x119, x135, uint64(sm2p256Uint1(x143))) 613 x146 := (uint64(sm2p256Uint1(x145)) + uint64(sm2p256Uint1(x120))) 614 var x147 uint64 615 var x148 uint64 616 x148, x147 = bits.Mul64(x3, arg1[3]) 617 var x149 uint64 618 var x150 uint64 619 x150, x149 = bits.Mul64(x3, arg1[2]) 620 var x151 uint64 621 var x152 uint64 622 x152, x151 = bits.Mul64(x3, arg1[1]) 623 var x153 uint64 624 var x154 uint64 625 x154, x153 = bits.Mul64(x3, arg1[0]) 626 var x155 uint64 627 var x156 uint64 628 x155, x156 = bits.Add64(x154, x151, uint64(0x0)) 629 var x157 uint64 630 var x158 uint64 631 x157, x158 = bits.Add64(x152, x149, uint64(sm2p256Uint1(x156))) 632 var x159 uint64 633 var x160 uint64 634 x159, x160 = bits.Add64(x150, x147, uint64(sm2p256Uint1(x158))) 635 x161 := (uint64(sm2p256Uint1(x160)) + x148) 636 var x162 uint64 637 var x163 uint64 638 x162, x163 = bits.Add64(x138, x153, uint64(0x0)) 639 var x164 uint64 640 var x165 uint64 641 x164, x165 = bits.Add64(x140, x155, uint64(sm2p256Uint1(x163))) 642 var x166 uint64 643 var x167 uint64 644 x166, x167 = bits.Add64(x142, x157, uint64(sm2p256Uint1(x165))) 645 var x168 uint64 646 var x169 uint64 647 x168, x169 = bits.Add64(x144, x159, uint64(sm2p256Uint1(x167))) 648 var x170 uint64 649 var x171 uint64 650 x170, x171 = bits.Add64(x146, x161, uint64(sm2p256Uint1(x169))) 651 var x172 uint64 652 var x173 uint64 653 x173, x172 = bits.Mul64(x162, 0xfffffffeffffffff) 654 var x174 uint64 655 var x175 uint64 656 x175, x174 = bits.Mul64(x162, 0xffffffffffffffff) 657 var x176 uint64 658 var x177 uint64 659 x177, x176 = bits.Mul64(x162, 0xffffffff00000000) 660 var x178 uint64 661 var x179 uint64 662 x179, x178 = bits.Mul64(x162, 0xffffffffffffffff) 663 var x180 uint64 664 var x181 uint64 665 x180, x181 = bits.Add64(x179, x176, uint64(0x0)) 666 var x182 uint64 667 var x183 uint64 668 x182, x183 = bits.Add64(x177, x174, uint64(sm2p256Uint1(x181))) 669 var x184 uint64 670 var x185 uint64 671 x184, x185 = bits.Add64(x175, x172, uint64(sm2p256Uint1(x183))) 672 x186 := (uint64(sm2p256Uint1(x185)) + x173) 673 var x188 uint64 674 _, x188 = bits.Add64(x162, x178, uint64(0x0)) 675 var x189 uint64 676 var x190 uint64 677 x189, x190 = bits.Add64(x164, x180, uint64(sm2p256Uint1(x188))) 678 var x191 uint64 679 var x192 uint64 680 x191, x192 = bits.Add64(x166, x182, uint64(sm2p256Uint1(x190))) 681 var x193 uint64 682 var x194 uint64 683 x193, x194 = bits.Add64(x168, x184, uint64(sm2p256Uint1(x192))) 684 var x195 uint64 685 var x196 uint64 686 x195, x196 = bits.Add64(x170, x186, uint64(sm2p256Uint1(x194))) 687 x197 := (uint64(sm2p256Uint1(x196)) + uint64(sm2p256Uint1(x171))) 688 var x198 uint64 689 var x199 uint64 690 x198, x199 = bits.Sub64(x189, 0xffffffffffffffff, uint64(0x0)) 691 var x200 uint64 692 var x201 uint64 693 x200, x201 = bits.Sub64(x191, 0xffffffff00000000, uint64(sm2p256Uint1(x199))) 694 var x202 uint64 695 var x203 uint64 696 x202, x203 = bits.Sub64(x193, 0xffffffffffffffff, uint64(sm2p256Uint1(x201))) 697 var x204 uint64 698 var x205 uint64 699 x204, x205 = bits.Sub64(x195, 0xfffffffeffffffff, uint64(sm2p256Uint1(x203))) 700 var x207 uint64 701 _, x207 = bits.Sub64(x197, uint64(0x0), uint64(sm2p256Uint1(x205))) 702 var x208 uint64 703 sm2p256CmovznzU64(&x208, sm2p256Uint1(x207), x198, x189) 704 var x209 uint64 705 sm2p256CmovznzU64(&x209, sm2p256Uint1(x207), x200, x191) 706 var x210 uint64 707 sm2p256CmovznzU64(&x210, sm2p256Uint1(x207), x202, x193) 708 var x211 uint64 709 sm2p256CmovznzU64(&x211, sm2p256Uint1(x207), x204, x195) 710 out1[0] = x208 711 out1[1] = x209 712 out1[2] = x210 713 out1[3] = x211 714 } 715 716 // sm2p256Add adds two field elements in the Montgomery domain. 717 // 718 // Preconditions: 719 // 0 ≤ eval arg1 < m 720 // 0 ≤ eval arg2 < m 721 // Postconditions: 722 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m 723 // 0 ≤ eval out1 < m 724 // 725 func sm2p256Add(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement, arg2 *sm2p256MontgomeryDomainFieldElement) { 726 var x1 uint64 727 var x2 uint64 728 x1, x2 = bits.Add64(arg1[0], arg2[0], uint64(0x0)) 729 var x3 uint64 730 var x4 uint64 731 x3, x4 = bits.Add64(arg1[1], arg2[1], uint64(sm2p256Uint1(x2))) 732 var x5 uint64 733 var x6 uint64 734 x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(sm2p256Uint1(x4))) 735 var x7 uint64 736 var x8 uint64 737 x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(sm2p256Uint1(x6))) 738 var x9 uint64 739 var x10 uint64 740 x9, x10 = bits.Sub64(x1, 0xffffffffffffffff, uint64(0x0)) 741 var x11 uint64 742 var x12 uint64 743 x11, x12 = bits.Sub64(x3, 0xffffffff00000000, uint64(sm2p256Uint1(x10))) 744 var x13 uint64 745 var x14 uint64 746 x13, x14 = bits.Sub64(x5, 0xffffffffffffffff, uint64(sm2p256Uint1(x12))) 747 var x15 uint64 748 var x16 uint64 749 x15, x16 = bits.Sub64(x7, 0xfffffffeffffffff, uint64(sm2p256Uint1(x14))) 750 var x18 uint64 751 _, x18 = bits.Sub64(uint64(sm2p256Uint1(x8)), uint64(0x0), uint64(sm2p256Uint1(x16))) 752 var x19 uint64 753 sm2p256CmovznzU64(&x19, sm2p256Uint1(x18), x9, x1) 754 var x20 uint64 755 sm2p256CmovznzU64(&x20, sm2p256Uint1(x18), x11, x3) 756 var x21 uint64 757 sm2p256CmovznzU64(&x21, sm2p256Uint1(x18), x13, x5) 758 var x22 uint64 759 sm2p256CmovznzU64(&x22, sm2p256Uint1(x18), x15, x7) 760 out1[0] = x19 761 out1[1] = x20 762 out1[2] = x21 763 out1[3] = x22 764 } 765 766 // sm2p256Sub subtracts two field elements in the Montgomery domain. 767 // 768 // Preconditions: 769 // 0 ≤ eval arg1 < m 770 // 0 ≤ eval arg2 < m 771 // Postconditions: 772 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m 773 // 0 ≤ eval out1 < m 774 // 775 func sm2p256Sub(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement, arg2 *sm2p256MontgomeryDomainFieldElement) { 776 var x1 uint64 777 var x2 uint64 778 x1, x2 = bits.Sub64(arg1[0], arg2[0], uint64(0x0)) 779 var x3 uint64 780 var x4 uint64 781 x3, x4 = bits.Sub64(arg1[1], arg2[1], uint64(sm2p256Uint1(x2))) 782 var x5 uint64 783 var x6 uint64 784 x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(sm2p256Uint1(x4))) 785 var x7 uint64 786 var x8 uint64 787 x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(sm2p256Uint1(x6))) 788 var x9 uint64 789 sm2p256CmovznzU64(&x9, sm2p256Uint1(x8), uint64(0x0), 0xffffffffffffffff) 790 var x10 uint64 791 var x11 uint64 792 x10, x11 = bits.Add64(x1, x9, uint64(0x0)) 793 var x12 uint64 794 var x13 uint64 795 x12, x13 = bits.Add64(x3, (x9 & 0xffffffff00000000), uint64(sm2p256Uint1(x11))) 796 var x14 uint64 797 var x15 uint64 798 x14, x15 = bits.Add64(x5, x9, uint64(sm2p256Uint1(x13))) 799 var x16 uint64 800 x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256Uint1(x15))) 801 out1[0] = x10 802 out1[1] = x12 803 out1[2] = x14 804 out1[3] = x16 805 } 806 807 // sm2p256SetOne returns the field element one in the Montgomery domain. 808 // 809 // Postconditions: 810 // eval (from_montgomery out1) mod m = 1 mod m 811 // 0 ≤ eval out1 < m 812 // 813 func sm2p256SetOne(out1 *sm2p256MontgomeryDomainFieldElement) { 814 out1[0] = uint64(0x1) 815 out1[1] = 0xffffffff 816 out1[2] = uint64(0x0) 817 out1[3] = 0x100000000 818 } 819 820 // sm2p256FromMontgomery translates a field element out of the Montgomery domain. 821 // 822 // Preconditions: 823 // 0 ≤ eval arg1 < m 824 // Postconditions: 825 // eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m 826 // 0 ≤ eval out1 < m 827 // 828 func sm2p256FromMontgomery(out1 *sm2p256NonMontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement) { 829 x1 := arg1[0] 830 var x2 uint64 831 var x3 uint64 832 x3, x2 = bits.Mul64(x1, 0xfffffffeffffffff) 833 var x4 uint64 834 var x5 uint64 835 x5, x4 = bits.Mul64(x1, 0xffffffffffffffff) 836 var x6 uint64 837 var x7 uint64 838 x7, x6 = bits.Mul64(x1, 0xffffffff00000000) 839 var x8 uint64 840 var x9 uint64 841 x9, x8 = bits.Mul64(x1, 0xffffffffffffffff) 842 var x10 uint64 843 var x11 uint64 844 x10, x11 = bits.Add64(x9, x6, uint64(0x0)) 845 var x12 uint64 846 var x13 uint64 847 x12, x13 = bits.Add64(x7, x4, uint64(sm2p256Uint1(x11))) 848 var x14 uint64 849 var x15 uint64 850 x14, x15 = bits.Add64(x5, x2, uint64(sm2p256Uint1(x13))) 851 var x17 uint64 852 _, x17 = bits.Add64(x1, x8, uint64(0x0)) 853 var x18 uint64 854 var x19 uint64 855 x18, x19 = bits.Add64(uint64(0x0), x10, uint64(sm2p256Uint1(x17))) 856 var x20 uint64 857 var x21 uint64 858 x20, x21 = bits.Add64(uint64(0x0), x12, uint64(sm2p256Uint1(x19))) 859 var x22 uint64 860 var x23 uint64 861 x22, x23 = bits.Add64(uint64(0x0), x14, uint64(sm2p256Uint1(x21))) 862 var x24 uint64 863 var x25 uint64 864 x24, x25 = bits.Add64(x18, arg1[1], uint64(0x0)) 865 var x26 uint64 866 var x27 uint64 867 x26, x27 = bits.Add64(x20, uint64(0x0), uint64(sm2p256Uint1(x25))) 868 var x28 uint64 869 var x29 uint64 870 x28, x29 = bits.Add64(x22, uint64(0x0), uint64(sm2p256Uint1(x27))) 871 var x30 uint64 872 var x31 uint64 873 x31, x30 = bits.Mul64(x24, 0xfffffffeffffffff) 874 var x32 uint64 875 var x33 uint64 876 x33, x32 = bits.Mul64(x24, 0xffffffffffffffff) 877 var x34 uint64 878 var x35 uint64 879 x35, x34 = bits.Mul64(x24, 0xffffffff00000000) 880 var x36 uint64 881 var x37 uint64 882 x37, x36 = bits.Mul64(x24, 0xffffffffffffffff) 883 var x38 uint64 884 var x39 uint64 885 x38, x39 = bits.Add64(x37, x34, uint64(0x0)) 886 var x40 uint64 887 var x41 uint64 888 x40, x41 = bits.Add64(x35, x32, uint64(sm2p256Uint1(x39))) 889 var x42 uint64 890 var x43 uint64 891 x42, x43 = bits.Add64(x33, x30, uint64(sm2p256Uint1(x41))) 892 var x45 uint64 893 _, x45 = bits.Add64(x24, x36, uint64(0x0)) 894 var x46 uint64 895 var x47 uint64 896 x46, x47 = bits.Add64(x26, x38, uint64(sm2p256Uint1(x45))) 897 var x48 uint64 898 var x49 uint64 899 x48, x49 = bits.Add64(x28, x40, uint64(sm2p256Uint1(x47))) 900 var x50 uint64 901 var x51 uint64 902 x50, x51 = bits.Add64((uint64(sm2p256Uint1(x29)) + (uint64(sm2p256Uint1(x23)) + (uint64(sm2p256Uint1(x15)) + x3))), x42, uint64(sm2p256Uint1(x49))) 903 var x52 uint64 904 var x53 uint64 905 x52, x53 = bits.Add64(x46, arg1[2], uint64(0x0)) 906 var x54 uint64 907 var x55 uint64 908 x54, x55 = bits.Add64(x48, uint64(0x0), uint64(sm2p256Uint1(x53))) 909 var x56 uint64 910 var x57 uint64 911 x56, x57 = bits.Add64(x50, uint64(0x0), uint64(sm2p256Uint1(x55))) 912 var x58 uint64 913 var x59 uint64 914 x59, x58 = bits.Mul64(x52, 0xfffffffeffffffff) 915 var x60 uint64 916 var x61 uint64 917 x61, x60 = bits.Mul64(x52, 0xffffffffffffffff) 918 var x62 uint64 919 var x63 uint64 920 x63, x62 = bits.Mul64(x52, 0xffffffff00000000) 921 var x64 uint64 922 var x65 uint64 923 x65, x64 = bits.Mul64(x52, 0xffffffffffffffff) 924 var x66 uint64 925 var x67 uint64 926 x66, x67 = bits.Add64(x65, x62, uint64(0x0)) 927 var x68 uint64 928 var x69 uint64 929 x68, x69 = bits.Add64(x63, x60, uint64(sm2p256Uint1(x67))) 930 var x70 uint64 931 var x71 uint64 932 x70, x71 = bits.Add64(x61, x58, uint64(sm2p256Uint1(x69))) 933 var x73 uint64 934 _, x73 = bits.Add64(x52, x64, uint64(0x0)) 935 var x74 uint64 936 var x75 uint64 937 x74, x75 = bits.Add64(x54, x66, uint64(sm2p256Uint1(x73))) 938 var x76 uint64 939 var x77 uint64 940 x76, x77 = bits.Add64(x56, x68, uint64(sm2p256Uint1(x75))) 941 var x78 uint64 942 var x79 uint64 943 x78, x79 = bits.Add64((uint64(sm2p256Uint1(x57)) + (uint64(sm2p256Uint1(x51)) + (uint64(sm2p256Uint1(x43)) + x31))), x70, uint64(sm2p256Uint1(x77))) 944 var x80 uint64 945 var x81 uint64 946 x80, x81 = bits.Add64(x74, arg1[3], uint64(0x0)) 947 var x82 uint64 948 var x83 uint64 949 x82, x83 = bits.Add64(x76, uint64(0x0), uint64(sm2p256Uint1(x81))) 950 var x84 uint64 951 var x85 uint64 952 x84, x85 = bits.Add64(x78, uint64(0x0), uint64(sm2p256Uint1(x83))) 953 var x86 uint64 954 var x87 uint64 955 x87, x86 = bits.Mul64(x80, 0xfffffffeffffffff) 956 var x88 uint64 957 var x89 uint64 958 x89, x88 = bits.Mul64(x80, 0xffffffffffffffff) 959 var x90 uint64 960 var x91 uint64 961 x91, x90 = bits.Mul64(x80, 0xffffffff00000000) 962 var x92 uint64 963 var x93 uint64 964 x93, x92 = bits.Mul64(x80, 0xffffffffffffffff) 965 var x94 uint64 966 var x95 uint64 967 x94, x95 = bits.Add64(x93, x90, uint64(0x0)) 968 var x96 uint64 969 var x97 uint64 970 x96, x97 = bits.Add64(x91, x88, uint64(sm2p256Uint1(x95))) 971 var x98 uint64 972 var x99 uint64 973 x98, x99 = bits.Add64(x89, x86, uint64(sm2p256Uint1(x97))) 974 var x101 uint64 975 _, x101 = bits.Add64(x80, x92, uint64(0x0)) 976 var x102 uint64 977 var x103 uint64 978 x102, x103 = bits.Add64(x82, x94, uint64(sm2p256Uint1(x101))) 979 var x104 uint64 980 var x105 uint64 981 x104, x105 = bits.Add64(x84, x96, uint64(sm2p256Uint1(x103))) 982 var x106 uint64 983 var x107 uint64 984 x106, x107 = bits.Add64((uint64(sm2p256Uint1(x85)) + (uint64(sm2p256Uint1(x79)) + (uint64(sm2p256Uint1(x71)) + x59))), x98, uint64(sm2p256Uint1(x105))) 985 x108 := (uint64(sm2p256Uint1(x107)) + (uint64(sm2p256Uint1(x99)) + x87)) 986 var x109 uint64 987 var x110 uint64 988 x109, x110 = bits.Sub64(x102, 0xffffffffffffffff, uint64(0x0)) 989 var x111 uint64 990 var x112 uint64 991 x111, x112 = bits.Sub64(x104, 0xffffffff00000000, uint64(sm2p256Uint1(x110))) 992 var x113 uint64 993 var x114 uint64 994 x113, x114 = bits.Sub64(x106, 0xffffffffffffffff, uint64(sm2p256Uint1(x112))) 995 var x115 uint64 996 var x116 uint64 997 x115, x116 = bits.Sub64(x108, 0xfffffffeffffffff, uint64(sm2p256Uint1(x114))) 998 var x118 uint64 999 _, x118 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(sm2p256Uint1(x116))) 1000 var x119 uint64 1001 sm2p256CmovznzU64(&x119, sm2p256Uint1(x118), x109, x102) 1002 var x120 uint64 1003 sm2p256CmovznzU64(&x120, sm2p256Uint1(x118), x111, x104) 1004 var x121 uint64 1005 sm2p256CmovznzU64(&x121, sm2p256Uint1(x118), x113, x106) 1006 var x122 uint64 1007 sm2p256CmovznzU64(&x122, sm2p256Uint1(x118), x115, x108) 1008 out1[0] = x119 1009 out1[1] = x120 1010 out1[2] = x121 1011 out1[3] = x122 1012 } 1013 1014 // sm2p256ToMontgomery translates a field element into the Montgomery domain. 1015 // 1016 // Preconditions: 1017 // 0 ≤ eval arg1 < m 1018 // Postconditions: 1019 // eval (from_montgomery out1) mod m = eval arg1 mod m 1020 // 0 ≤ eval out1 < m 1021 // 1022 func sm2p256ToMontgomery(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256NonMontgomeryDomainFieldElement) { 1023 x1 := arg1[1] 1024 x2 := arg1[2] 1025 x3 := arg1[3] 1026 x4 := arg1[0] 1027 var x5 uint64 1028 var x6 uint64 1029 x6, x5 = bits.Mul64(x4, 0x400000002) 1030 var x7 uint64 1031 var x8 uint64 1032 x8, x7 = bits.Mul64(x4, 0x100000001) 1033 var x9 uint64 1034 var x10 uint64 1035 x10, x9 = bits.Mul64(x4, 0x2ffffffff) 1036 var x11 uint64 1037 var x12 uint64 1038 x12, x11 = bits.Mul64(x4, 0x200000003) 1039 var x13 uint64 1040 var x14 uint64 1041 x13, x14 = bits.Add64(x12, x9, uint64(0x0)) 1042 var x15 uint64 1043 var x16 uint64 1044 x15, x16 = bits.Add64(x10, x7, uint64(sm2p256Uint1(x14))) 1045 var x17 uint64 1046 var x18 uint64 1047 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256Uint1(x16))) 1048 var x19 uint64 1049 var x20 uint64 1050 x20, x19 = bits.Mul64(x11, 0xfffffffeffffffff) 1051 var x21 uint64 1052 var x22 uint64 1053 x22, x21 = bits.Mul64(x11, 0xffffffffffffffff) 1054 var x23 uint64 1055 var x24 uint64 1056 x24, x23 = bits.Mul64(x11, 0xffffffff00000000) 1057 var x25 uint64 1058 var x26 uint64 1059 x26, x25 = bits.Mul64(x11, 0xffffffffffffffff) 1060 var x27 uint64 1061 var x28 uint64 1062 x27, x28 = bits.Add64(x26, x23, uint64(0x0)) 1063 var x29 uint64 1064 var x30 uint64 1065 x29, x30 = bits.Add64(x24, x21, uint64(sm2p256Uint1(x28))) 1066 var x31 uint64 1067 var x32 uint64 1068 x31, x32 = bits.Add64(x22, x19, uint64(sm2p256Uint1(x30))) 1069 var x34 uint64 1070 _, x34 = bits.Add64(x11, x25, uint64(0x0)) 1071 var x35 uint64 1072 var x36 uint64 1073 x35, x36 = bits.Add64(x13, x27, uint64(sm2p256Uint1(x34))) 1074 var x37 uint64 1075 var x38 uint64 1076 x37, x38 = bits.Add64(x15, x29, uint64(sm2p256Uint1(x36))) 1077 var x39 uint64 1078 var x40 uint64 1079 x39, x40 = bits.Add64(x17, x31, uint64(sm2p256Uint1(x38))) 1080 var x41 uint64 1081 var x42 uint64 1082 x41, x42 = bits.Add64((uint64(sm2p256Uint1(x18)) + x6), (uint64(sm2p256Uint1(x32)) + x20), uint64(sm2p256Uint1(x40))) 1083 var x43 uint64 1084 var x44 uint64 1085 x44, x43 = bits.Mul64(x1, 0x400000002) 1086 var x45 uint64 1087 var x46 uint64 1088 x46, x45 = bits.Mul64(x1, 0x100000001) 1089 var x47 uint64 1090 var x48 uint64 1091 x48, x47 = bits.Mul64(x1, 0x2ffffffff) 1092 var x49 uint64 1093 var x50 uint64 1094 x50, x49 = bits.Mul64(x1, 0x200000003) 1095 var x51 uint64 1096 var x52 uint64 1097 x51, x52 = bits.Add64(x50, x47, uint64(0x0)) 1098 var x53 uint64 1099 var x54 uint64 1100 x53, x54 = bits.Add64(x48, x45, uint64(sm2p256Uint1(x52))) 1101 var x55 uint64 1102 var x56 uint64 1103 x55, x56 = bits.Add64(x46, x43, uint64(sm2p256Uint1(x54))) 1104 var x57 uint64 1105 var x58 uint64 1106 x57, x58 = bits.Add64(x35, x49, uint64(0x0)) 1107 var x59 uint64 1108 var x60 uint64 1109 x59, x60 = bits.Add64(x37, x51, uint64(sm2p256Uint1(x58))) 1110 var x61 uint64 1111 var x62 uint64 1112 x61, x62 = bits.Add64(x39, x53, uint64(sm2p256Uint1(x60))) 1113 var x63 uint64 1114 var x64 uint64 1115 x63, x64 = bits.Add64(x41, x55, uint64(sm2p256Uint1(x62))) 1116 var x65 uint64 1117 var x66 uint64 1118 x66, x65 = bits.Mul64(x57, 0xfffffffeffffffff) 1119 var x67 uint64 1120 var x68 uint64 1121 x68, x67 = bits.Mul64(x57, 0xffffffffffffffff) 1122 var x69 uint64 1123 var x70 uint64 1124 x70, x69 = bits.Mul64(x57, 0xffffffff00000000) 1125 var x71 uint64 1126 var x72 uint64 1127 x72, x71 = bits.Mul64(x57, 0xffffffffffffffff) 1128 var x73 uint64 1129 var x74 uint64 1130 x73, x74 = bits.Add64(x72, x69, uint64(0x0)) 1131 var x75 uint64 1132 var x76 uint64 1133 x75, x76 = bits.Add64(x70, x67, uint64(sm2p256Uint1(x74))) 1134 var x77 uint64 1135 var x78 uint64 1136 x77, x78 = bits.Add64(x68, x65, uint64(sm2p256Uint1(x76))) 1137 var x80 uint64 1138 _, x80 = bits.Add64(x57, x71, uint64(0x0)) 1139 var x81 uint64 1140 var x82 uint64 1141 x81, x82 = bits.Add64(x59, x73, uint64(sm2p256Uint1(x80))) 1142 var x83 uint64 1143 var x84 uint64 1144 x83, x84 = bits.Add64(x61, x75, uint64(sm2p256Uint1(x82))) 1145 var x85 uint64 1146 var x86 uint64 1147 x85, x86 = bits.Add64(x63, x77, uint64(sm2p256Uint1(x84))) 1148 var x87 uint64 1149 var x88 uint64 1150 x87, x88 = bits.Add64(((uint64(sm2p256Uint1(x64)) + uint64(sm2p256Uint1(x42))) + (uint64(sm2p256Uint1(x56)) + x44)), (uint64(sm2p256Uint1(x78)) + x66), uint64(sm2p256Uint1(x86))) 1151 var x89 uint64 1152 var x90 uint64 1153 x90, x89 = bits.Mul64(x2, 0x400000002) 1154 var x91 uint64 1155 var x92 uint64 1156 x92, x91 = bits.Mul64(x2, 0x100000001) 1157 var x93 uint64 1158 var x94 uint64 1159 x94, x93 = bits.Mul64(x2, 0x2ffffffff) 1160 var x95 uint64 1161 var x96 uint64 1162 x96, x95 = bits.Mul64(x2, 0x200000003) 1163 var x97 uint64 1164 var x98 uint64 1165 x97, x98 = bits.Add64(x96, x93, uint64(0x0)) 1166 var x99 uint64 1167 var x100 uint64 1168 x99, x100 = bits.Add64(x94, x91, uint64(sm2p256Uint1(x98))) 1169 var x101 uint64 1170 var x102 uint64 1171 x101, x102 = bits.Add64(x92, x89, uint64(sm2p256Uint1(x100))) 1172 var x103 uint64 1173 var x104 uint64 1174 x103, x104 = bits.Add64(x81, x95, uint64(0x0)) 1175 var x105 uint64 1176 var x106 uint64 1177 x105, x106 = bits.Add64(x83, x97, uint64(sm2p256Uint1(x104))) 1178 var x107 uint64 1179 var x108 uint64 1180 x107, x108 = bits.Add64(x85, x99, uint64(sm2p256Uint1(x106))) 1181 var x109 uint64 1182 var x110 uint64 1183 x109, x110 = bits.Add64(x87, x101, uint64(sm2p256Uint1(x108))) 1184 var x111 uint64 1185 var x112 uint64 1186 x112, x111 = bits.Mul64(x103, 0xfffffffeffffffff) 1187 var x113 uint64 1188 var x114 uint64 1189 x114, x113 = bits.Mul64(x103, 0xffffffffffffffff) 1190 var x115 uint64 1191 var x116 uint64 1192 x116, x115 = bits.Mul64(x103, 0xffffffff00000000) 1193 var x117 uint64 1194 var x118 uint64 1195 x118, x117 = bits.Mul64(x103, 0xffffffffffffffff) 1196 var x119 uint64 1197 var x120 uint64 1198 x119, x120 = bits.Add64(x118, x115, uint64(0x0)) 1199 var x121 uint64 1200 var x122 uint64 1201 x121, x122 = bits.Add64(x116, x113, uint64(sm2p256Uint1(x120))) 1202 var x123 uint64 1203 var x124 uint64 1204 x123, x124 = bits.Add64(x114, x111, uint64(sm2p256Uint1(x122))) 1205 var x126 uint64 1206 _, x126 = bits.Add64(x103, x117, uint64(0x0)) 1207 var x127 uint64 1208 var x128 uint64 1209 x127, x128 = bits.Add64(x105, x119, uint64(sm2p256Uint1(x126))) 1210 var x129 uint64 1211 var x130 uint64 1212 x129, x130 = bits.Add64(x107, x121, uint64(sm2p256Uint1(x128))) 1213 var x131 uint64 1214 var x132 uint64 1215 x131, x132 = bits.Add64(x109, x123, uint64(sm2p256Uint1(x130))) 1216 var x133 uint64 1217 var x134 uint64 1218 x133, x134 = bits.Add64(((uint64(sm2p256Uint1(x110)) + uint64(sm2p256Uint1(x88))) + (uint64(sm2p256Uint1(x102)) + x90)), (uint64(sm2p256Uint1(x124)) + x112), uint64(sm2p256Uint1(x132))) 1219 var x135 uint64 1220 var x136 uint64 1221 x136, x135 = bits.Mul64(x3, 0x400000002) 1222 var x137 uint64 1223 var x138 uint64 1224 x138, x137 = bits.Mul64(x3, 0x100000001) 1225 var x139 uint64 1226 var x140 uint64 1227 x140, x139 = bits.Mul64(x3, 0x2ffffffff) 1228 var x141 uint64 1229 var x142 uint64 1230 x142, x141 = bits.Mul64(x3, 0x200000003) 1231 var x143 uint64 1232 var x144 uint64 1233 x143, x144 = bits.Add64(x142, x139, uint64(0x0)) 1234 var x145 uint64 1235 var x146 uint64 1236 x145, x146 = bits.Add64(x140, x137, uint64(sm2p256Uint1(x144))) 1237 var x147 uint64 1238 var x148 uint64 1239 x147, x148 = bits.Add64(x138, x135, uint64(sm2p256Uint1(x146))) 1240 var x149 uint64 1241 var x150 uint64 1242 x149, x150 = bits.Add64(x127, x141, uint64(0x0)) 1243 var x151 uint64 1244 var x152 uint64 1245 x151, x152 = bits.Add64(x129, x143, uint64(sm2p256Uint1(x150))) 1246 var x153 uint64 1247 var x154 uint64 1248 x153, x154 = bits.Add64(x131, x145, uint64(sm2p256Uint1(x152))) 1249 var x155 uint64 1250 var x156 uint64 1251 x155, x156 = bits.Add64(x133, x147, uint64(sm2p256Uint1(x154))) 1252 var x157 uint64 1253 var x158 uint64 1254 x158, x157 = bits.Mul64(x149, 0xfffffffeffffffff) 1255 var x159 uint64 1256 var x160 uint64 1257 x160, x159 = bits.Mul64(x149, 0xffffffffffffffff) 1258 var x161 uint64 1259 var x162 uint64 1260 x162, x161 = bits.Mul64(x149, 0xffffffff00000000) 1261 var x163 uint64 1262 var x164 uint64 1263 x164, x163 = bits.Mul64(x149, 0xffffffffffffffff) 1264 var x165 uint64 1265 var x166 uint64 1266 x165, x166 = bits.Add64(x164, x161, uint64(0x0)) 1267 var x167 uint64 1268 var x168 uint64 1269 x167, x168 = bits.Add64(x162, x159, uint64(sm2p256Uint1(x166))) 1270 var x169 uint64 1271 var x170 uint64 1272 x169, x170 = bits.Add64(x160, x157, uint64(sm2p256Uint1(x168))) 1273 var x172 uint64 1274 _, x172 = bits.Add64(x149, x163, uint64(0x0)) 1275 var x173 uint64 1276 var x174 uint64 1277 x173, x174 = bits.Add64(x151, x165, uint64(sm2p256Uint1(x172))) 1278 var x175 uint64 1279 var x176 uint64 1280 x175, x176 = bits.Add64(x153, x167, uint64(sm2p256Uint1(x174))) 1281 var x177 uint64 1282 var x178 uint64 1283 x177, x178 = bits.Add64(x155, x169, uint64(sm2p256Uint1(x176))) 1284 var x179 uint64 1285 var x180 uint64 1286 x179, x180 = bits.Add64(((uint64(sm2p256Uint1(x156)) + uint64(sm2p256Uint1(x134))) + (uint64(sm2p256Uint1(x148)) + x136)), (uint64(sm2p256Uint1(x170)) + x158), uint64(sm2p256Uint1(x178))) 1287 var x181 uint64 1288 var x182 uint64 1289 x181, x182 = bits.Sub64(x173, 0xffffffffffffffff, uint64(0x0)) 1290 var x183 uint64 1291 var x184 uint64 1292 x183, x184 = bits.Sub64(x175, 0xffffffff00000000, uint64(sm2p256Uint1(x182))) 1293 var x185 uint64 1294 var x186 uint64 1295 x185, x186 = bits.Sub64(x177, 0xffffffffffffffff, uint64(sm2p256Uint1(x184))) 1296 var x187 uint64 1297 var x188 uint64 1298 x187, x188 = bits.Sub64(x179, 0xfffffffeffffffff, uint64(sm2p256Uint1(x186))) 1299 var x190 uint64 1300 _, x190 = bits.Sub64(uint64(sm2p256Uint1(x180)), uint64(0x0), uint64(sm2p256Uint1(x188))) 1301 var x191 uint64 1302 sm2p256CmovznzU64(&x191, sm2p256Uint1(x190), x181, x173) 1303 var x192 uint64 1304 sm2p256CmovznzU64(&x192, sm2p256Uint1(x190), x183, x175) 1305 var x193 uint64 1306 sm2p256CmovznzU64(&x193, sm2p256Uint1(x190), x185, x177) 1307 var x194 uint64 1308 sm2p256CmovznzU64(&x194, sm2p256Uint1(x190), x187, x179) 1309 out1[0] = x191 1310 out1[1] = x192 1311 out1[2] = x193 1312 out1[3] = x194 1313 } 1314 1315 // sm2p256Selectznz is a multi-limb conditional select. 1316 // 1317 // Postconditions: 1318 // out1 = (if arg1 = 0 then arg2 else arg3) 1319 // 1320 // Input Bounds: 1321 // arg1: [0x0 ~> 0x1] 1322 // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1323 // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1324 // Output Bounds: 1325 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1326 func sm2p256Selectznz(out1 *[4]uint64, arg1 sm2p256Uint1, arg2 *[4]uint64, arg3 *[4]uint64) { 1327 var x1 uint64 1328 sm2p256CmovznzU64(&x1, arg1, arg2[0], arg3[0]) 1329 var x2 uint64 1330 sm2p256CmovznzU64(&x2, arg1, arg2[1], arg3[1]) 1331 var x3 uint64 1332 sm2p256CmovznzU64(&x3, arg1, arg2[2], arg3[2]) 1333 var x4 uint64 1334 sm2p256CmovznzU64(&x4, arg1, arg2[3], arg3[3]) 1335 out1[0] = x1 1336 out1[1] = x2 1337 out1[2] = x3 1338 out1[3] = x4 1339 } 1340 1341 // sm2p256ToBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order. 1342 // 1343 // Preconditions: 1344 // 0 ≤ eval arg1 < m 1345 // Postconditions: 1346 // out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] 1347 // 1348 // Input Bounds: 1349 // arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1350 // Output Bounds: 1351 // out1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] 1352 func sm2p256ToBytes(out1 *[32]uint8, arg1 *[4]uint64) { 1353 x1 := arg1[3] 1354 x2 := arg1[2] 1355 x3 := arg1[1] 1356 x4 := arg1[0] 1357 x5 := (uint8(x4) & 0xff) 1358 x6 := (x4 >> 8) 1359 x7 := (uint8(x6) & 0xff) 1360 x8 := (x6 >> 8) 1361 x9 := (uint8(x8) & 0xff) 1362 x10 := (x8 >> 8) 1363 x11 := (uint8(x10) & 0xff) 1364 x12 := (x10 >> 8) 1365 x13 := (uint8(x12) & 0xff) 1366 x14 := (x12 >> 8) 1367 x15 := (uint8(x14) & 0xff) 1368 x16 := (x14 >> 8) 1369 x17 := (uint8(x16) & 0xff) 1370 x18 := uint8((x16 >> 8)) 1371 x19 := (uint8(x3) & 0xff) 1372 x20 := (x3 >> 8) 1373 x21 := (uint8(x20) & 0xff) 1374 x22 := (x20 >> 8) 1375 x23 := (uint8(x22) & 0xff) 1376 x24 := (x22 >> 8) 1377 x25 := (uint8(x24) & 0xff) 1378 x26 := (x24 >> 8) 1379 x27 := (uint8(x26) & 0xff) 1380 x28 := (x26 >> 8) 1381 x29 := (uint8(x28) & 0xff) 1382 x30 := (x28 >> 8) 1383 x31 := (uint8(x30) & 0xff) 1384 x32 := uint8((x30 >> 8)) 1385 x33 := (uint8(x2) & 0xff) 1386 x34 := (x2 >> 8) 1387 x35 := (uint8(x34) & 0xff) 1388 x36 := (x34 >> 8) 1389 x37 := (uint8(x36) & 0xff) 1390 x38 := (x36 >> 8) 1391 x39 := (uint8(x38) & 0xff) 1392 x40 := (x38 >> 8) 1393 x41 := (uint8(x40) & 0xff) 1394 x42 := (x40 >> 8) 1395 x43 := (uint8(x42) & 0xff) 1396 x44 := (x42 >> 8) 1397 x45 := (uint8(x44) & 0xff) 1398 x46 := uint8((x44 >> 8)) 1399 x47 := (uint8(x1) & 0xff) 1400 x48 := (x1 >> 8) 1401 x49 := (uint8(x48) & 0xff) 1402 x50 := (x48 >> 8) 1403 x51 := (uint8(x50) & 0xff) 1404 x52 := (x50 >> 8) 1405 x53 := (uint8(x52) & 0xff) 1406 x54 := (x52 >> 8) 1407 x55 := (uint8(x54) & 0xff) 1408 x56 := (x54 >> 8) 1409 x57 := (uint8(x56) & 0xff) 1410 x58 := (x56 >> 8) 1411 x59 := (uint8(x58) & 0xff) 1412 x60 := uint8((x58 >> 8)) 1413 out1[0] = x5 1414 out1[1] = x7 1415 out1[2] = x9 1416 out1[3] = x11 1417 out1[4] = x13 1418 out1[5] = x15 1419 out1[6] = x17 1420 out1[7] = x18 1421 out1[8] = x19 1422 out1[9] = x21 1423 out1[10] = x23 1424 out1[11] = x25 1425 out1[12] = x27 1426 out1[13] = x29 1427 out1[14] = x31 1428 out1[15] = x32 1429 out1[16] = x33 1430 out1[17] = x35 1431 out1[18] = x37 1432 out1[19] = x39 1433 out1[20] = x41 1434 out1[21] = x43 1435 out1[22] = x45 1436 out1[23] = x46 1437 out1[24] = x47 1438 out1[25] = x49 1439 out1[26] = x51 1440 out1[27] = x53 1441 out1[28] = x55 1442 out1[29] = x57 1443 out1[30] = x59 1444 out1[31] = x60 1445 } 1446 1447 // sm2p256FromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order. 1448 // 1449 // Preconditions: 1450 // 0 ≤ bytes_eval arg1 < m 1451 // Postconditions: 1452 // eval out1 mod m = bytes_eval arg1 mod m 1453 // 0 ≤ eval out1 < m 1454 // 1455 // Input Bounds: 1456 // arg1: [[0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff], [0x0 ~> 0xff]] 1457 // Output Bounds: 1458 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1459 func sm2p256FromBytes(out1 *[4]uint64, arg1 *[32]uint8) { 1460 x1 := (uint64(arg1[31]) << 56) 1461 x2 := (uint64(arg1[30]) << 48) 1462 x3 := (uint64(arg1[29]) << 40) 1463 x4 := (uint64(arg1[28]) << 32) 1464 x5 := (uint64(arg1[27]) << 24) 1465 x6 := (uint64(arg1[26]) << 16) 1466 x7 := (uint64(arg1[25]) << 8) 1467 x8 := arg1[24] 1468 x9 := (uint64(arg1[23]) << 56) 1469 x10 := (uint64(arg1[22]) << 48) 1470 x11 := (uint64(arg1[21]) << 40) 1471 x12 := (uint64(arg1[20]) << 32) 1472 x13 := (uint64(arg1[19]) << 24) 1473 x14 := (uint64(arg1[18]) << 16) 1474 x15 := (uint64(arg1[17]) << 8) 1475 x16 := arg1[16] 1476 x17 := (uint64(arg1[15]) << 56) 1477 x18 := (uint64(arg1[14]) << 48) 1478 x19 := (uint64(arg1[13]) << 40) 1479 x20 := (uint64(arg1[12]) << 32) 1480 x21 := (uint64(arg1[11]) << 24) 1481 x22 := (uint64(arg1[10]) << 16) 1482 x23 := (uint64(arg1[9]) << 8) 1483 x24 := arg1[8] 1484 x25 := (uint64(arg1[7]) << 56) 1485 x26 := (uint64(arg1[6]) << 48) 1486 x27 := (uint64(arg1[5]) << 40) 1487 x28 := (uint64(arg1[4]) << 32) 1488 x29 := (uint64(arg1[3]) << 24) 1489 x30 := (uint64(arg1[2]) << 16) 1490 x31 := (uint64(arg1[1]) << 8) 1491 x32 := arg1[0] 1492 x33 := (x31 + uint64(x32)) 1493 x34 := (x30 + x33) 1494 x35 := (x29 + x34) 1495 x36 := (x28 + x35) 1496 x37 := (x27 + x36) 1497 x38 := (x26 + x37) 1498 x39 := (x25 + x38) 1499 x40 := (x23 + uint64(x24)) 1500 x41 := (x22 + x40) 1501 x42 := (x21 + x41) 1502 x43 := (x20 + x42) 1503 x44 := (x19 + x43) 1504 x45 := (x18 + x44) 1505 x46 := (x17 + x45) 1506 x47 := (x15 + uint64(x16)) 1507 x48 := (x14 + x47) 1508 x49 := (x13 + x48) 1509 x50 := (x12 + x49) 1510 x51 := (x11 + x50) 1511 x52 := (x10 + x51) 1512 x53 := (x9 + x52) 1513 x54 := (x7 + uint64(x8)) 1514 x55 := (x6 + x54) 1515 x56 := (x5 + x55) 1516 x57 := (x4 + x56) 1517 x58 := (x3 + x57) 1518 x59 := (x2 + x58) 1519 x60 := (x1 + x59) 1520 out1[0] = x39 1521 out1[1] = x46 1522 out1[2] = x53 1523 out1[3] = x60 1524 } 1525 1526 // sm2p256Nonzero outputs a single non-zero word if the input is non-zero and zero otherwise. 1527 // 1528 // Preconditions: 1529 // 0 ≤ eval arg1 < m 1530 // Postconditions: 1531 // out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0 1532 // 1533 // Input Bounds: 1534 // arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1535 // Output Bounds: 1536 // out1: [0x0 ~> 0xffffffffffffffff] 1537 func sm2p256Nonzero(out1 *uint64, arg1 *[4]uint64) { 1538 x1 := (arg1[0] | (arg1[1] | (arg1[2] | arg1[3]))) 1539 *out1 = x1 1540 } 1541 1542 // sm2p256Opp negates a field element in the Montgomery domain. 1543 // 1544 // Preconditions: 1545 // 0 ≤ eval arg1 < m 1546 // Postconditions: 1547 // eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m 1548 // 0 ≤ eval out1 < m 1549 // 1550 func sm2p256Opp(out1 *sm2p256MontgomeryDomainFieldElement, arg1 *sm2p256MontgomeryDomainFieldElement) { 1551 var x1 uint64 1552 var x2 uint64 1553 x1, x2 = bits.Sub64(uint64(0x0), arg1[0], uint64(0x0)) 1554 var x3 uint64 1555 var x4 uint64 1556 x3, x4 = bits.Sub64(uint64(0x0), arg1[1], uint64(sm2p256Uint1(x2))) 1557 var x5 uint64 1558 var x6 uint64 1559 x5, x6 = bits.Sub64(uint64(0x0), arg1[2], uint64(sm2p256Uint1(x4))) 1560 var x7 uint64 1561 var x8 uint64 1562 x7, x8 = bits.Sub64(uint64(0x0), arg1[3], uint64(sm2p256Uint1(x6))) 1563 var x9 uint64 1564 sm2p256CmovznzU64(&x9, sm2p256Uint1(x8), uint64(0x0), 0xffffffffffffffff) 1565 var x10 uint64 1566 var x11 uint64 1567 x10, x11 = bits.Add64(x1, x9, uint64(0x0)) 1568 var x12 uint64 1569 var x13 uint64 1570 x12, x13 = bits.Add64(x3, (x9 & 0xffffffff00000000), uint64(sm2p256Uint1(x11))) 1571 var x14 uint64 1572 var x15 uint64 1573 x14, x15 = bits.Add64(x5, x9, uint64(sm2p256Uint1(x13))) 1574 var x16 uint64 1575 x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256Uint1(x15))) 1576 out1[0] = x10 1577 out1[1] = x12 1578 out1[2] = x14 1579 out1[3] = x16 1580 } 1581 1582 // sm2p256Msat returns the saturated representation of the prime modulus. 1583 // 1584 // Postconditions: 1585 // twos_complement_eval out1 = m 1586 // 0 ≤ eval out1 < m 1587 // 1588 // Output Bounds: 1589 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1590 func sm2p256Msat(out1 *[5]uint64) { 1591 out1[0] = 0xffffffffffffffff 1592 out1[1] = 0xffffffff00000000 1593 out1[2] = 0xffffffffffffffff 1594 out1[3] = 0xfffffffeffffffff 1595 out1[4] = uint64(0x0) 1596 } 1597 1598 // sm2p256Divstep computes a divstep. 1599 // 1600 // Preconditions: 1601 // 0 ≤ eval arg4 < m 1602 // 0 ≤ eval arg5 < m 1603 // Postconditions: 1604 // out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1) 1605 // twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2) 1606 // twos_complement_eval out3 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then ⌊(twos_complement_eval arg3 - twos_complement_eval arg2) / 2⌋ else ⌊(twos_complement_eval arg3 + (twos_complement_eval arg3 mod 2) * twos_complement_eval arg2) / 2⌋) 1607 // eval (from_montgomery out4) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (2 * eval (from_montgomery arg5)) mod m else (2 * eval (from_montgomery arg4)) mod m) 1608 // eval (from_montgomery out5) mod m = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then (eval (from_montgomery arg4) - eval (from_montgomery arg4)) mod m else (eval (from_montgomery arg5) + (twos_complement_eval arg3 mod 2) * eval (from_montgomery arg4)) mod m) 1609 // 0 ≤ eval out5 < m 1610 // 0 ≤ eval out5 < m 1611 // 0 ≤ eval out2 < m 1612 // 0 ≤ eval out3 < m 1613 // 1614 // Input Bounds: 1615 // arg1: [0x0 ~> 0xffffffffffffffff] 1616 // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1617 // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1618 // arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1619 // arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1620 // Output Bounds: 1621 // out1: [0x0 ~> 0xffffffffffffffff] 1622 // out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1623 // out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1624 // out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1625 // out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1626 func sm2p256Divstep(out1 *uint64, out2 *[5]uint64, out3 *[5]uint64, out4 *[4]uint64, out5 *[4]uint64, arg1 uint64, arg2 *[5]uint64, arg3 *[5]uint64, arg4 *[4]uint64, arg5 *[4]uint64) { 1627 var x1 uint64 1628 x1, _ = bits.Add64((^arg1), uint64(0x1), uint64(0x0)) 1629 x3 := (sm2p256Uint1((x1 >> 63)) & (sm2p256Uint1(arg3[0]) & 0x1)) 1630 var x4 uint64 1631 x4, _ = bits.Add64((^arg1), uint64(0x1), uint64(0x0)) 1632 var x6 uint64 1633 sm2p256CmovznzU64(&x6, x3, arg1, x4) 1634 var x7 uint64 1635 sm2p256CmovznzU64(&x7, x3, arg2[0], arg3[0]) 1636 var x8 uint64 1637 sm2p256CmovznzU64(&x8, x3, arg2[1], arg3[1]) 1638 var x9 uint64 1639 sm2p256CmovznzU64(&x9, x3, arg2[2], arg3[2]) 1640 var x10 uint64 1641 sm2p256CmovznzU64(&x10, x3, arg2[3], arg3[3]) 1642 var x11 uint64 1643 sm2p256CmovznzU64(&x11, x3, arg2[4], arg3[4]) 1644 var x12 uint64 1645 var x13 uint64 1646 x12, x13 = bits.Add64(uint64(0x1), (^arg2[0]), uint64(0x0)) 1647 var x14 uint64 1648 var x15 uint64 1649 x14, x15 = bits.Add64(uint64(0x0), (^arg2[1]), uint64(sm2p256Uint1(x13))) 1650 var x16 uint64 1651 var x17 uint64 1652 x16, x17 = bits.Add64(uint64(0x0), (^arg2[2]), uint64(sm2p256Uint1(x15))) 1653 var x18 uint64 1654 var x19 uint64 1655 x18, x19 = bits.Add64(uint64(0x0), (^arg2[3]), uint64(sm2p256Uint1(x17))) 1656 var x20 uint64 1657 x20, _ = bits.Add64(uint64(0x0), (^arg2[4]), uint64(sm2p256Uint1(x19))) 1658 var x22 uint64 1659 sm2p256CmovznzU64(&x22, x3, arg3[0], x12) 1660 var x23 uint64 1661 sm2p256CmovznzU64(&x23, x3, arg3[1], x14) 1662 var x24 uint64 1663 sm2p256CmovznzU64(&x24, x3, arg3[2], x16) 1664 var x25 uint64 1665 sm2p256CmovznzU64(&x25, x3, arg3[3], x18) 1666 var x26 uint64 1667 sm2p256CmovznzU64(&x26, x3, arg3[4], x20) 1668 var x27 uint64 1669 sm2p256CmovznzU64(&x27, x3, arg4[0], arg5[0]) 1670 var x28 uint64 1671 sm2p256CmovznzU64(&x28, x3, arg4[1], arg5[1]) 1672 var x29 uint64 1673 sm2p256CmovznzU64(&x29, x3, arg4[2], arg5[2]) 1674 var x30 uint64 1675 sm2p256CmovznzU64(&x30, x3, arg4[3], arg5[3]) 1676 var x31 uint64 1677 var x32 uint64 1678 x31, x32 = bits.Add64(x27, x27, uint64(0x0)) 1679 var x33 uint64 1680 var x34 uint64 1681 x33, x34 = bits.Add64(x28, x28, uint64(sm2p256Uint1(x32))) 1682 var x35 uint64 1683 var x36 uint64 1684 x35, x36 = bits.Add64(x29, x29, uint64(sm2p256Uint1(x34))) 1685 var x37 uint64 1686 var x38 uint64 1687 x37, x38 = bits.Add64(x30, x30, uint64(sm2p256Uint1(x36))) 1688 var x39 uint64 1689 var x40 uint64 1690 x39, x40 = bits.Sub64(x31, 0xffffffffffffffff, uint64(0x0)) 1691 var x41 uint64 1692 var x42 uint64 1693 x41, x42 = bits.Sub64(x33, 0xffffffff00000000, uint64(sm2p256Uint1(x40))) 1694 var x43 uint64 1695 var x44 uint64 1696 x43, x44 = bits.Sub64(x35, 0xffffffffffffffff, uint64(sm2p256Uint1(x42))) 1697 var x45 uint64 1698 var x46 uint64 1699 x45, x46 = bits.Sub64(x37, 0xfffffffeffffffff, uint64(sm2p256Uint1(x44))) 1700 var x48 uint64 1701 _, x48 = bits.Sub64(uint64(sm2p256Uint1(x38)), uint64(0x0), uint64(sm2p256Uint1(x46))) 1702 x49 := arg4[3] 1703 x50 := arg4[2] 1704 x51 := arg4[1] 1705 x52 := arg4[0] 1706 var x53 uint64 1707 var x54 uint64 1708 x53, x54 = bits.Sub64(uint64(0x0), x52, uint64(0x0)) 1709 var x55 uint64 1710 var x56 uint64 1711 x55, x56 = bits.Sub64(uint64(0x0), x51, uint64(sm2p256Uint1(x54))) 1712 var x57 uint64 1713 var x58 uint64 1714 x57, x58 = bits.Sub64(uint64(0x0), x50, uint64(sm2p256Uint1(x56))) 1715 var x59 uint64 1716 var x60 uint64 1717 x59, x60 = bits.Sub64(uint64(0x0), x49, uint64(sm2p256Uint1(x58))) 1718 var x61 uint64 1719 sm2p256CmovznzU64(&x61, sm2p256Uint1(x60), uint64(0x0), 0xffffffffffffffff) 1720 var x62 uint64 1721 var x63 uint64 1722 x62, x63 = bits.Add64(x53, x61, uint64(0x0)) 1723 var x64 uint64 1724 var x65 uint64 1725 x64, x65 = bits.Add64(x55, (x61 & 0xffffffff00000000), uint64(sm2p256Uint1(x63))) 1726 var x66 uint64 1727 var x67 uint64 1728 x66, x67 = bits.Add64(x57, x61, uint64(sm2p256Uint1(x65))) 1729 var x68 uint64 1730 x68, _ = bits.Add64(x59, (x61 & 0xfffffffeffffffff), uint64(sm2p256Uint1(x67))) 1731 var x70 uint64 1732 sm2p256CmovznzU64(&x70, x3, arg5[0], x62) 1733 var x71 uint64 1734 sm2p256CmovznzU64(&x71, x3, arg5[1], x64) 1735 var x72 uint64 1736 sm2p256CmovznzU64(&x72, x3, arg5[2], x66) 1737 var x73 uint64 1738 sm2p256CmovznzU64(&x73, x3, arg5[3], x68) 1739 x74 := (sm2p256Uint1(x22) & 0x1) 1740 var x75 uint64 1741 sm2p256CmovznzU64(&x75, x74, uint64(0x0), x7) 1742 var x76 uint64 1743 sm2p256CmovznzU64(&x76, x74, uint64(0x0), x8) 1744 var x77 uint64 1745 sm2p256CmovznzU64(&x77, x74, uint64(0x0), x9) 1746 var x78 uint64 1747 sm2p256CmovznzU64(&x78, x74, uint64(0x0), x10) 1748 var x79 uint64 1749 sm2p256CmovznzU64(&x79, x74, uint64(0x0), x11) 1750 var x80 uint64 1751 var x81 uint64 1752 x80, x81 = bits.Add64(x22, x75, uint64(0x0)) 1753 var x82 uint64 1754 var x83 uint64 1755 x82, x83 = bits.Add64(x23, x76, uint64(sm2p256Uint1(x81))) 1756 var x84 uint64 1757 var x85 uint64 1758 x84, x85 = bits.Add64(x24, x77, uint64(sm2p256Uint1(x83))) 1759 var x86 uint64 1760 var x87 uint64 1761 x86, x87 = bits.Add64(x25, x78, uint64(sm2p256Uint1(x85))) 1762 var x88 uint64 1763 x88, _ = bits.Add64(x26, x79, uint64(sm2p256Uint1(x87))) 1764 var x90 uint64 1765 sm2p256CmovznzU64(&x90, x74, uint64(0x0), x27) 1766 var x91 uint64 1767 sm2p256CmovznzU64(&x91, x74, uint64(0x0), x28) 1768 var x92 uint64 1769 sm2p256CmovznzU64(&x92, x74, uint64(0x0), x29) 1770 var x93 uint64 1771 sm2p256CmovznzU64(&x93, x74, uint64(0x0), x30) 1772 var x94 uint64 1773 var x95 uint64 1774 x94, x95 = bits.Add64(x70, x90, uint64(0x0)) 1775 var x96 uint64 1776 var x97 uint64 1777 x96, x97 = bits.Add64(x71, x91, uint64(sm2p256Uint1(x95))) 1778 var x98 uint64 1779 var x99 uint64 1780 x98, x99 = bits.Add64(x72, x92, uint64(sm2p256Uint1(x97))) 1781 var x100 uint64 1782 var x101 uint64 1783 x100, x101 = bits.Add64(x73, x93, uint64(sm2p256Uint1(x99))) 1784 var x102 uint64 1785 var x103 uint64 1786 x102, x103 = bits.Sub64(x94, 0xffffffffffffffff, uint64(0x0)) 1787 var x104 uint64 1788 var x105 uint64 1789 x104, x105 = bits.Sub64(x96, 0xffffffff00000000, uint64(sm2p256Uint1(x103))) 1790 var x106 uint64 1791 var x107 uint64 1792 x106, x107 = bits.Sub64(x98, 0xffffffffffffffff, uint64(sm2p256Uint1(x105))) 1793 var x108 uint64 1794 var x109 uint64 1795 x108, x109 = bits.Sub64(x100, 0xfffffffeffffffff, uint64(sm2p256Uint1(x107))) 1796 var x111 uint64 1797 _, x111 = bits.Sub64(uint64(sm2p256Uint1(x101)), uint64(0x0), uint64(sm2p256Uint1(x109))) 1798 var x112 uint64 1799 x112, _ = bits.Add64(x6, uint64(0x1), uint64(0x0)) 1800 x114 := ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff)) 1801 x115 := ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff)) 1802 x116 := ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff)) 1803 x117 := ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff)) 1804 x118 := ((x88 & 0x8000000000000000) | (x88 >> 1)) 1805 var x119 uint64 1806 sm2p256CmovznzU64(&x119, sm2p256Uint1(x48), x39, x31) 1807 var x120 uint64 1808 sm2p256CmovznzU64(&x120, sm2p256Uint1(x48), x41, x33) 1809 var x121 uint64 1810 sm2p256CmovznzU64(&x121, sm2p256Uint1(x48), x43, x35) 1811 var x122 uint64 1812 sm2p256CmovznzU64(&x122, sm2p256Uint1(x48), x45, x37) 1813 var x123 uint64 1814 sm2p256CmovznzU64(&x123, sm2p256Uint1(x111), x102, x94) 1815 var x124 uint64 1816 sm2p256CmovznzU64(&x124, sm2p256Uint1(x111), x104, x96) 1817 var x125 uint64 1818 sm2p256CmovznzU64(&x125, sm2p256Uint1(x111), x106, x98) 1819 var x126 uint64 1820 sm2p256CmovznzU64(&x126, sm2p256Uint1(x111), x108, x100) 1821 *out1 = x112 1822 out2[0] = x7 1823 out2[1] = x8 1824 out2[2] = x9 1825 out2[3] = x10 1826 out2[4] = x11 1827 out3[0] = x114 1828 out3[1] = x115 1829 out3[2] = x116 1830 out3[3] = x117 1831 out3[4] = x118 1832 out4[0] = x119 1833 out4[1] = x120 1834 out4[2] = x121 1835 out4[3] = x122 1836 out5[0] = x123 1837 out5[1] = x124 1838 out5[2] = x125 1839 out5[3] = x126 1840 } 1841 1842 // sm2p256DivstepPrecomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form). 1843 // 1844 // Postconditions: 1845 // eval (from_montgomery out1) = ⌊(m - 1) / 2⌋^(if ⌊log2 m⌋ + 1 < 46 then ⌊(49 * (⌊log2 m⌋ + 1) + 80) / 17⌋ else ⌊(49 * (⌊log2 m⌋ + 1) + 57) / 17⌋) 1846 // 0 ≤ eval out1 < m 1847 // 1848 // Output Bounds: 1849 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1850 func sm2p256DivstepPrecomp(out1 *[4]uint64) { 1851 out1[0] = 0x500000028ffffffe 1852 out1[1] = 0xe80000009ffffffe 1853 out1[2] = 0xd00000018ffffffe 1854 out1[3] = 0x280000011ffffffd 1855 }