github.com/emmansun/gmsm@v0.29.1/internal/sm2ec/fiat/sm2p256scalar_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 sm2p256scalar 64 '2^256 - 2^224 - 188730267045675049073202170516080344797' mul square add sub one from_montgomery to_montgomery selectznz to_bytes from_bytes nonzero opp msat divstep divstep_precomp 4 // 5 // curve description: sm2p256scalar 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 = 0xfffffffeffffffffffffffffffffffff7203df6b21c6052b53bbf40939d54123 (from "2^256 - 2^224 - 188730267045675049073202170516080344797") 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 sm2p256scalarUint1 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 sm2p256scalarInt1 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 sm2p256scalarMontgomeryDomainFieldElement is a field element in the Montgomery domain. 47 // 48 // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 49 type sm2p256scalarMontgomeryDomainFieldElement [4]uint64 50 51 // The type sm2p256scalarNonMontgomeryDomainFieldElement is a field element NOT in the Montgomery domain. 52 // 53 // Bounds: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 54 type sm2p256scalarNonMontgomeryDomainFieldElement [4]uint64 55 56 // sm2p256scalarCmovznzU64 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 sm2p256scalarCmovznzU64(out1 *uint64, arg1 sm2p256scalarUint1, arg2 uint64, arg3 uint64) { 68 x1 := (uint64(arg1) * 0xffffffffffffffff) 69 x2 := ((x1 & arg3) | ((^x1) & arg2)) 70 *out1 = x2 71 } 72 73 // sm2p256scalarMul 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 sm2p256scalarMul(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement, arg2 *sm2p256scalarMontgomeryDomainFieldElement) { 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(sm2p256scalarUint1(x14))) 105 var x17 uint64 106 var x18 uint64 107 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256scalarUint1(x16))) 108 x19 := (uint64(sm2p256scalarUint1(x18)) + x6) 109 var x20 uint64 110 _, x20 = bits.Mul64(x11, 0x327f9e8872350975) 111 var x22 uint64 112 var x23 uint64 113 x23, x22 = bits.Mul64(x20, 0xfffffffeffffffff) 114 var x24 uint64 115 var x25 uint64 116 x25, x24 = bits.Mul64(x20, 0xffffffffffffffff) 117 var x26 uint64 118 var x27 uint64 119 x27, x26 = bits.Mul64(x20, 0x7203df6b21c6052b) 120 var x28 uint64 121 var x29 uint64 122 x29, x28 = bits.Mul64(x20, 0x53bbf40939d54123) 123 var x30 uint64 124 var x31 uint64 125 x30, x31 = bits.Add64(x29, x26, uint64(0x0)) 126 var x32 uint64 127 var x33 uint64 128 x32, x33 = bits.Add64(x27, x24, uint64(sm2p256scalarUint1(x31))) 129 var x34 uint64 130 var x35 uint64 131 x34, x35 = bits.Add64(x25, x22, uint64(sm2p256scalarUint1(x33))) 132 x36 := (uint64(sm2p256scalarUint1(x35)) + x23) 133 var x38 uint64 134 _, x38 = bits.Add64(x11, x28, uint64(0x0)) 135 var x39 uint64 136 var x40 uint64 137 x39, x40 = bits.Add64(x13, x30, uint64(sm2p256scalarUint1(x38))) 138 var x41 uint64 139 var x42 uint64 140 x41, x42 = bits.Add64(x15, x32, uint64(sm2p256scalarUint1(x40))) 141 var x43 uint64 142 var x44 uint64 143 x43, x44 = bits.Add64(x17, x34, uint64(sm2p256scalarUint1(x42))) 144 var x45 uint64 145 var x46 uint64 146 x45, x46 = bits.Add64(x19, x36, uint64(sm2p256scalarUint1(x44))) 147 var x47 uint64 148 var x48 uint64 149 x48, x47 = bits.Mul64(x1, arg2[3]) 150 var x49 uint64 151 var x50 uint64 152 x50, x49 = bits.Mul64(x1, arg2[2]) 153 var x51 uint64 154 var x52 uint64 155 x52, x51 = bits.Mul64(x1, arg2[1]) 156 var x53 uint64 157 var x54 uint64 158 x54, x53 = bits.Mul64(x1, arg2[0]) 159 var x55 uint64 160 var x56 uint64 161 x55, x56 = bits.Add64(x54, x51, uint64(0x0)) 162 var x57 uint64 163 var x58 uint64 164 x57, x58 = bits.Add64(x52, x49, uint64(sm2p256scalarUint1(x56))) 165 var x59 uint64 166 var x60 uint64 167 x59, x60 = bits.Add64(x50, x47, uint64(sm2p256scalarUint1(x58))) 168 x61 := (uint64(sm2p256scalarUint1(x60)) + x48) 169 var x62 uint64 170 var x63 uint64 171 x62, x63 = bits.Add64(x39, x53, uint64(0x0)) 172 var x64 uint64 173 var x65 uint64 174 x64, x65 = bits.Add64(x41, x55, uint64(sm2p256scalarUint1(x63))) 175 var x66 uint64 176 var x67 uint64 177 x66, x67 = bits.Add64(x43, x57, uint64(sm2p256scalarUint1(x65))) 178 var x68 uint64 179 var x69 uint64 180 x68, x69 = bits.Add64(x45, x59, uint64(sm2p256scalarUint1(x67))) 181 var x70 uint64 182 var x71 uint64 183 x70, x71 = bits.Add64(uint64(sm2p256scalarUint1(x46)), x61, uint64(sm2p256scalarUint1(x69))) 184 var x72 uint64 185 _, x72 = bits.Mul64(x62, 0x327f9e8872350975) 186 var x74 uint64 187 var x75 uint64 188 x75, x74 = bits.Mul64(x72, 0xfffffffeffffffff) 189 var x76 uint64 190 var x77 uint64 191 x77, x76 = bits.Mul64(x72, 0xffffffffffffffff) 192 var x78 uint64 193 var x79 uint64 194 x79, x78 = bits.Mul64(x72, 0x7203df6b21c6052b) 195 var x80 uint64 196 var x81 uint64 197 x81, x80 = bits.Mul64(x72, 0x53bbf40939d54123) 198 var x82 uint64 199 var x83 uint64 200 x82, x83 = bits.Add64(x81, x78, uint64(0x0)) 201 var x84 uint64 202 var x85 uint64 203 x84, x85 = bits.Add64(x79, x76, uint64(sm2p256scalarUint1(x83))) 204 var x86 uint64 205 var x87 uint64 206 x86, x87 = bits.Add64(x77, x74, uint64(sm2p256scalarUint1(x85))) 207 x88 := (uint64(sm2p256scalarUint1(x87)) + x75) 208 var x90 uint64 209 _, x90 = bits.Add64(x62, x80, uint64(0x0)) 210 var x91 uint64 211 var x92 uint64 212 x91, x92 = bits.Add64(x64, x82, uint64(sm2p256scalarUint1(x90))) 213 var x93 uint64 214 var x94 uint64 215 x93, x94 = bits.Add64(x66, x84, uint64(sm2p256scalarUint1(x92))) 216 var x95 uint64 217 var x96 uint64 218 x95, x96 = bits.Add64(x68, x86, uint64(sm2p256scalarUint1(x94))) 219 var x97 uint64 220 var x98 uint64 221 x97, x98 = bits.Add64(x70, x88, uint64(sm2p256scalarUint1(x96))) 222 x99 := (uint64(sm2p256scalarUint1(x98)) + uint64(sm2p256scalarUint1(x71))) 223 var x100 uint64 224 var x101 uint64 225 x101, x100 = bits.Mul64(x2, arg2[3]) 226 var x102 uint64 227 var x103 uint64 228 x103, x102 = bits.Mul64(x2, arg2[2]) 229 var x104 uint64 230 var x105 uint64 231 x105, x104 = bits.Mul64(x2, arg2[1]) 232 var x106 uint64 233 var x107 uint64 234 x107, x106 = bits.Mul64(x2, arg2[0]) 235 var x108 uint64 236 var x109 uint64 237 x108, x109 = bits.Add64(x107, x104, uint64(0x0)) 238 var x110 uint64 239 var x111 uint64 240 x110, x111 = bits.Add64(x105, x102, uint64(sm2p256scalarUint1(x109))) 241 var x112 uint64 242 var x113 uint64 243 x112, x113 = bits.Add64(x103, x100, uint64(sm2p256scalarUint1(x111))) 244 x114 := (uint64(sm2p256scalarUint1(x113)) + x101) 245 var x115 uint64 246 var x116 uint64 247 x115, x116 = bits.Add64(x91, x106, uint64(0x0)) 248 var x117 uint64 249 var x118 uint64 250 x117, x118 = bits.Add64(x93, x108, uint64(sm2p256scalarUint1(x116))) 251 var x119 uint64 252 var x120 uint64 253 x119, x120 = bits.Add64(x95, x110, uint64(sm2p256scalarUint1(x118))) 254 var x121 uint64 255 var x122 uint64 256 x121, x122 = bits.Add64(x97, x112, uint64(sm2p256scalarUint1(x120))) 257 var x123 uint64 258 var x124 uint64 259 x123, x124 = bits.Add64(x99, x114, uint64(sm2p256scalarUint1(x122))) 260 var x125 uint64 261 _, x125 = bits.Mul64(x115, 0x327f9e8872350975) 262 var x127 uint64 263 var x128 uint64 264 x128, x127 = bits.Mul64(x125, 0xfffffffeffffffff) 265 var x129 uint64 266 var x130 uint64 267 x130, x129 = bits.Mul64(x125, 0xffffffffffffffff) 268 var x131 uint64 269 var x132 uint64 270 x132, x131 = bits.Mul64(x125, 0x7203df6b21c6052b) 271 var x133 uint64 272 var x134 uint64 273 x134, x133 = bits.Mul64(x125, 0x53bbf40939d54123) 274 var x135 uint64 275 var x136 uint64 276 x135, x136 = bits.Add64(x134, x131, uint64(0x0)) 277 var x137 uint64 278 var x138 uint64 279 x137, x138 = bits.Add64(x132, x129, uint64(sm2p256scalarUint1(x136))) 280 var x139 uint64 281 var x140 uint64 282 x139, x140 = bits.Add64(x130, x127, uint64(sm2p256scalarUint1(x138))) 283 x141 := (uint64(sm2p256scalarUint1(x140)) + x128) 284 var x143 uint64 285 _, x143 = bits.Add64(x115, x133, uint64(0x0)) 286 var x144 uint64 287 var x145 uint64 288 x144, x145 = bits.Add64(x117, x135, uint64(sm2p256scalarUint1(x143))) 289 var x146 uint64 290 var x147 uint64 291 x146, x147 = bits.Add64(x119, x137, uint64(sm2p256scalarUint1(x145))) 292 var x148 uint64 293 var x149 uint64 294 x148, x149 = bits.Add64(x121, x139, uint64(sm2p256scalarUint1(x147))) 295 var x150 uint64 296 var x151 uint64 297 x150, x151 = bits.Add64(x123, x141, uint64(sm2p256scalarUint1(x149))) 298 x152 := (uint64(sm2p256scalarUint1(x151)) + uint64(sm2p256scalarUint1(x124))) 299 var x153 uint64 300 var x154 uint64 301 x154, x153 = bits.Mul64(x3, arg2[3]) 302 var x155 uint64 303 var x156 uint64 304 x156, x155 = bits.Mul64(x3, arg2[2]) 305 var x157 uint64 306 var x158 uint64 307 x158, x157 = bits.Mul64(x3, arg2[1]) 308 var x159 uint64 309 var x160 uint64 310 x160, x159 = bits.Mul64(x3, arg2[0]) 311 var x161 uint64 312 var x162 uint64 313 x161, x162 = bits.Add64(x160, x157, uint64(0x0)) 314 var x163 uint64 315 var x164 uint64 316 x163, x164 = bits.Add64(x158, x155, uint64(sm2p256scalarUint1(x162))) 317 var x165 uint64 318 var x166 uint64 319 x165, x166 = bits.Add64(x156, x153, uint64(sm2p256scalarUint1(x164))) 320 x167 := (uint64(sm2p256scalarUint1(x166)) + x154) 321 var x168 uint64 322 var x169 uint64 323 x168, x169 = bits.Add64(x144, x159, uint64(0x0)) 324 var x170 uint64 325 var x171 uint64 326 x170, x171 = bits.Add64(x146, x161, uint64(sm2p256scalarUint1(x169))) 327 var x172 uint64 328 var x173 uint64 329 x172, x173 = bits.Add64(x148, x163, uint64(sm2p256scalarUint1(x171))) 330 var x174 uint64 331 var x175 uint64 332 x174, x175 = bits.Add64(x150, x165, uint64(sm2p256scalarUint1(x173))) 333 var x176 uint64 334 var x177 uint64 335 x176, x177 = bits.Add64(x152, x167, uint64(sm2p256scalarUint1(x175))) 336 var x178 uint64 337 _, x178 = bits.Mul64(x168, 0x327f9e8872350975) 338 var x180 uint64 339 var x181 uint64 340 x181, x180 = bits.Mul64(x178, 0xfffffffeffffffff) 341 var x182 uint64 342 var x183 uint64 343 x183, x182 = bits.Mul64(x178, 0xffffffffffffffff) 344 var x184 uint64 345 var x185 uint64 346 x185, x184 = bits.Mul64(x178, 0x7203df6b21c6052b) 347 var x186 uint64 348 var x187 uint64 349 x187, x186 = bits.Mul64(x178, 0x53bbf40939d54123) 350 var x188 uint64 351 var x189 uint64 352 x188, x189 = bits.Add64(x187, x184, uint64(0x0)) 353 var x190 uint64 354 var x191 uint64 355 x190, x191 = bits.Add64(x185, x182, uint64(sm2p256scalarUint1(x189))) 356 var x192 uint64 357 var x193 uint64 358 x192, x193 = bits.Add64(x183, x180, uint64(sm2p256scalarUint1(x191))) 359 x194 := (uint64(sm2p256scalarUint1(x193)) + x181) 360 var x196 uint64 361 _, x196 = bits.Add64(x168, x186, uint64(0x0)) 362 var x197 uint64 363 var x198 uint64 364 x197, x198 = bits.Add64(x170, x188, uint64(sm2p256scalarUint1(x196))) 365 var x199 uint64 366 var x200 uint64 367 x199, x200 = bits.Add64(x172, x190, uint64(sm2p256scalarUint1(x198))) 368 var x201 uint64 369 var x202 uint64 370 x201, x202 = bits.Add64(x174, x192, uint64(sm2p256scalarUint1(x200))) 371 var x203 uint64 372 var x204 uint64 373 x203, x204 = bits.Add64(x176, x194, uint64(sm2p256scalarUint1(x202))) 374 x205 := (uint64(sm2p256scalarUint1(x204)) + uint64(sm2p256scalarUint1(x177))) 375 var x206 uint64 376 var x207 uint64 377 x206, x207 = bits.Sub64(x197, 0x53bbf40939d54123, uint64(0x0)) 378 var x208 uint64 379 var x209 uint64 380 x208, x209 = bits.Sub64(x199, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x207))) 381 var x210 uint64 382 var x211 uint64 383 x210, x211 = bits.Sub64(x201, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x209))) 384 var x212 uint64 385 var x213 uint64 386 x212, x213 = bits.Sub64(x203, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x211))) 387 var x215 uint64 388 _, x215 = bits.Sub64(x205, uint64(0x0), uint64(sm2p256scalarUint1(x213))) 389 var x216 uint64 390 sm2p256scalarCmovznzU64(&x216, sm2p256scalarUint1(x215), x206, x197) 391 var x217 uint64 392 sm2p256scalarCmovznzU64(&x217, sm2p256scalarUint1(x215), x208, x199) 393 var x218 uint64 394 sm2p256scalarCmovznzU64(&x218, sm2p256scalarUint1(x215), x210, x201) 395 var x219 uint64 396 sm2p256scalarCmovznzU64(&x219, sm2p256scalarUint1(x215), x212, x203) 397 out1[0] = x216 398 out1[1] = x217 399 out1[2] = x218 400 out1[3] = x219 401 } 402 403 // sm2p256scalarSquare squares a field element in the Montgomery domain. 404 // 405 // Preconditions: 406 // 0 ≤ eval arg1 < m 407 // Postconditions: 408 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) * eval (from_montgomery arg1)) mod m 409 // 0 ≤ eval out1 < m 410 // 411 func sm2p256scalarSquare(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement) { 412 x1 := arg1[1] 413 x2 := arg1[2] 414 x3 := arg1[3] 415 x4 := arg1[0] 416 var x5 uint64 417 var x6 uint64 418 x6, x5 = bits.Mul64(x4, arg1[3]) 419 var x7 uint64 420 var x8 uint64 421 x8, x7 = bits.Mul64(x4, arg1[2]) 422 var x9 uint64 423 var x10 uint64 424 x10, x9 = bits.Mul64(x4, arg1[1]) 425 var x11 uint64 426 var x12 uint64 427 x12, x11 = bits.Mul64(x4, arg1[0]) 428 var x13 uint64 429 var x14 uint64 430 x13, x14 = bits.Add64(x12, x9, uint64(0x0)) 431 var x15 uint64 432 var x16 uint64 433 x15, x16 = bits.Add64(x10, x7, uint64(sm2p256scalarUint1(x14))) 434 var x17 uint64 435 var x18 uint64 436 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256scalarUint1(x16))) 437 x19 := (uint64(sm2p256scalarUint1(x18)) + x6) 438 var x20 uint64 439 _, x20 = bits.Mul64(x11, 0x327f9e8872350975) 440 var x22 uint64 441 var x23 uint64 442 x23, x22 = bits.Mul64(x20, 0xfffffffeffffffff) 443 var x24 uint64 444 var x25 uint64 445 x25, x24 = bits.Mul64(x20, 0xffffffffffffffff) 446 var x26 uint64 447 var x27 uint64 448 x27, x26 = bits.Mul64(x20, 0x7203df6b21c6052b) 449 var x28 uint64 450 var x29 uint64 451 x29, x28 = bits.Mul64(x20, 0x53bbf40939d54123) 452 var x30 uint64 453 var x31 uint64 454 x30, x31 = bits.Add64(x29, x26, uint64(0x0)) 455 var x32 uint64 456 var x33 uint64 457 x32, x33 = bits.Add64(x27, x24, uint64(sm2p256scalarUint1(x31))) 458 var x34 uint64 459 var x35 uint64 460 x34, x35 = bits.Add64(x25, x22, uint64(sm2p256scalarUint1(x33))) 461 x36 := (uint64(sm2p256scalarUint1(x35)) + x23) 462 var x38 uint64 463 _, x38 = bits.Add64(x11, x28, uint64(0x0)) 464 var x39 uint64 465 var x40 uint64 466 x39, x40 = bits.Add64(x13, x30, uint64(sm2p256scalarUint1(x38))) 467 var x41 uint64 468 var x42 uint64 469 x41, x42 = bits.Add64(x15, x32, uint64(sm2p256scalarUint1(x40))) 470 var x43 uint64 471 var x44 uint64 472 x43, x44 = bits.Add64(x17, x34, uint64(sm2p256scalarUint1(x42))) 473 var x45 uint64 474 var x46 uint64 475 x45, x46 = bits.Add64(x19, x36, uint64(sm2p256scalarUint1(x44))) 476 var x47 uint64 477 var x48 uint64 478 x48, x47 = bits.Mul64(x1, arg1[3]) 479 var x49 uint64 480 var x50 uint64 481 x50, x49 = bits.Mul64(x1, arg1[2]) 482 var x51 uint64 483 var x52 uint64 484 x52, x51 = bits.Mul64(x1, arg1[1]) 485 var x53 uint64 486 var x54 uint64 487 x54, x53 = bits.Mul64(x1, arg1[0]) 488 var x55 uint64 489 var x56 uint64 490 x55, x56 = bits.Add64(x54, x51, uint64(0x0)) 491 var x57 uint64 492 var x58 uint64 493 x57, x58 = bits.Add64(x52, x49, uint64(sm2p256scalarUint1(x56))) 494 var x59 uint64 495 var x60 uint64 496 x59, x60 = bits.Add64(x50, x47, uint64(sm2p256scalarUint1(x58))) 497 x61 := (uint64(sm2p256scalarUint1(x60)) + x48) 498 var x62 uint64 499 var x63 uint64 500 x62, x63 = bits.Add64(x39, x53, uint64(0x0)) 501 var x64 uint64 502 var x65 uint64 503 x64, x65 = bits.Add64(x41, x55, uint64(sm2p256scalarUint1(x63))) 504 var x66 uint64 505 var x67 uint64 506 x66, x67 = bits.Add64(x43, x57, uint64(sm2p256scalarUint1(x65))) 507 var x68 uint64 508 var x69 uint64 509 x68, x69 = bits.Add64(x45, x59, uint64(sm2p256scalarUint1(x67))) 510 var x70 uint64 511 var x71 uint64 512 x70, x71 = bits.Add64(uint64(sm2p256scalarUint1(x46)), x61, uint64(sm2p256scalarUint1(x69))) 513 var x72 uint64 514 _, x72 = bits.Mul64(x62, 0x327f9e8872350975) 515 var x74 uint64 516 var x75 uint64 517 x75, x74 = bits.Mul64(x72, 0xfffffffeffffffff) 518 var x76 uint64 519 var x77 uint64 520 x77, x76 = bits.Mul64(x72, 0xffffffffffffffff) 521 var x78 uint64 522 var x79 uint64 523 x79, x78 = bits.Mul64(x72, 0x7203df6b21c6052b) 524 var x80 uint64 525 var x81 uint64 526 x81, x80 = bits.Mul64(x72, 0x53bbf40939d54123) 527 var x82 uint64 528 var x83 uint64 529 x82, x83 = bits.Add64(x81, x78, uint64(0x0)) 530 var x84 uint64 531 var x85 uint64 532 x84, x85 = bits.Add64(x79, x76, uint64(sm2p256scalarUint1(x83))) 533 var x86 uint64 534 var x87 uint64 535 x86, x87 = bits.Add64(x77, x74, uint64(sm2p256scalarUint1(x85))) 536 x88 := (uint64(sm2p256scalarUint1(x87)) + x75) 537 var x90 uint64 538 _, x90 = bits.Add64(x62, x80, uint64(0x0)) 539 var x91 uint64 540 var x92 uint64 541 x91, x92 = bits.Add64(x64, x82, uint64(sm2p256scalarUint1(x90))) 542 var x93 uint64 543 var x94 uint64 544 x93, x94 = bits.Add64(x66, x84, uint64(sm2p256scalarUint1(x92))) 545 var x95 uint64 546 var x96 uint64 547 x95, x96 = bits.Add64(x68, x86, uint64(sm2p256scalarUint1(x94))) 548 var x97 uint64 549 var x98 uint64 550 x97, x98 = bits.Add64(x70, x88, uint64(sm2p256scalarUint1(x96))) 551 x99 := (uint64(sm2p256scalarUint1(x98)) + uint64(sm2p256scalarUint1(x71))) 552 var x100 uint64 553 var x101 uint64 554 x101, x100 = bits.Mul64(x2, arg1[3]) 555 var x102 uint64 556 var x103 uint64 557 x103, x102 = bits.Mul64(x2, arg1[2]) 558 var x104 uint64 559 var x105 uint64 560 x105, x104 = bits.Mul64(x2, arg1[1]) 561 var x106 uint64 562 var x107 uint64 563 x107, x106 = bits.Mul64(x2, arg1[0]) 564 var x108 uint64 565 var x109 uint64 566 x108, x109 = bits.Add64(x107, x104, uint64(0x0)) 567 var x110 uint64 568 var x111 uint64 569 x110, x111 = bits.Add64(x105, x102, uint64(sm2p256scalarUint1(x109))) 570 var x112 uint64 571 var x113 uint64 572 x112, x113 = bits.Add64(x103, x100, uint64(sm2p256scalarUint1(x111))) 573 x114 := (uint64(sm2p256scalarUint1(x113)) + x101) 574 var x115 uint64 575 var x116 uint64 576 x115, x116 = bits.Add64(x91, x106, uint64(0x0)) 577 var x117 uint64 578 var x118 uint64 579 x117, x118 = bits.Add64(x93, x108, uint64(sm2p256scalarUint1(x116))) 580 var x119 uint64 581 var x120 uint64 582 x119, x120 = bits.Add64(x95, x110, uint64(sm2p256scalarUint1(x118))) 583 var x121 uint64 584 var x122 uint64 585 x121, x122 = bits.Add64(x97, x112, uint64(sm2p256scalarUint1(x120))) 586 var x123 uint64 587 var x124 uint64 588 x123, x124 = bits.Add64(x99, x114, uint64(sm2p256scalarUint1(x122))) 589 var x125 uint64 590 _, x125 = bits.Mul64(x115, 0x327f9e8872350975) 591 var x127 uint64 592 var x128 uint64 593 x128, x127 = bits.Mul64(x125, 0xfffffffeffffffff) 594 var x129 uint64 595 var x130 uint64 596 x130, x129 = bits.Mul64(x125, 0xffffffffffffffff) 597 var x131 uint64 598 var x132 uint64 599 x132, x131 = bits.Mul64(x125, 0x7203df6b21c6052b) 600 var x133 uint64 601 var x134 uint64 602 x134, x133 = bits.Mul64(x125, 0x53bbf40939d54123) 603 var x135 uint64 604 var x136 uint64 605 x135, x136 = bits.Add64(x134, x131, uint64(0x0)) 606 var x137 uint64 607 var x138 uint64 608 x137, x138 = bits.Add64(x132, x129, uint64(sm2p256scalarUint1(x136))) 609 var x139 uint64 610 var x140 uint64 611 x139, x140 = bits.Add64(x130, x127, uint64(sm2p256scalarUint1(x138))) 612 x141 := (uint64(sm2p256scalarUint1(x140)) + x128) 613 var x143 uint64 614 _, x143 = bits.Add64(x115, x133, uint64(0x0)) 615 var x144 uint64 616 var x145 uint64 617 x144, x145 = bits.Add64(x117, x135, uint64(sm2p256scalarUint1(x143))) 618 var x146 uint64 619 var x147 uint64 620 x146, x147 = bits.Add64(x119, x137, uint64(sm2p256scalarUint1(x145))) 621 var x148 uint64 622 var x149 uint64 623 x148, x149 = bits.Add64(x121, x139, uint64(sm2p256scalarUint1(x147))) 624 var x150 uint64 625 var x151 uint64 626 x150, x151 = bits.Add64(x123, x141, uint64(sm2p256scalarUint1(x149))) 627 x152 := (uint64(sm2p256scalarUint1(x151)) + uint64(sm2p256scalarUint1(x124))) 628 var x153 uint64 629 var x154 uint64 630 x154, x153 = bits.Mul64(x3, arg1[3]) 631 var x155 uint64 632 var x156 uint64 633 x156, x155 = bits.Mul64(x3, arg1[2]) 634 var x157 uint64 635 var x158 uint64 636 x158, x157 = bits.Mul64(x3, arg1[1]) 637 var x159 uint64 638 var x160 uint64 639 x160, x159 = bits.Mul64(x3, arg1[0]) 640 var x161 uint64 641 var x162 uint64 642 x161, x162 = bits.Add64(x160, x157, uint64(0x0)) 643 var x163 uint64 644 var x164 uint64 645 x163, x164 = bits.Add64(x158, x155, uint64(sm2p256scalarUint1(x162))) 646 var x165 uint64 647 var x166 uint64 648 x165, x166 = bits.Add64(x156, x153, uint64(sm2p256scalarUint1(x164))) 649 x167 := (uint64(sm2p256scalarUint1(x166)) + x154) 650 var x168 uint64 651 var x169 uint64 652 x168, x169 = bits.Add64(x144, x159, uint64(0x0)) 653 var x170 uint64 654 var x171 uint64 655 x170, x171 = bits.Add64(x146, x161, uint64(sm2p256scalarUint1(x169))) 656 var x172 uint64 657 var x173 uint64 658 x172, x173 = bits.Add64(x148, x163, uint64(sm2p256scalarUint1(x171))) 659 var x174 uint64 660 var x175 uint64 661 x174, x175 = bits.Add64(x150, x165, uint64(sm2p256scalarUint1(x173))) 662 var x176 uint64 663 var x177 uint64 664 x176, x177 = bits.Add64(x152, x167, uint64(sm2p256scalarUint1(x175))) 665 var x178 uint64 666 _, x178 = bits.Mul64(x168, 0x327f9e8872350975) 667 var x180 uint64 668 var x181 uint64 669 x181, x180 = bits.Mul64(x178, 0xfffffffeffffffff) 670 var x182 uint64 671 var x183 uint64 672 x183, x182 = bits.Mul64(x178, 0xffffffffffffffff) 673 var x184 uint64 674 var x185 uint64 675 x185, x184 = bits.Mul64(x178, 0x7203df6b21c6052b) 676 var x186 uint64 677 var x187 uint64 678 x187, x186 = bits.Mul64(x178, 0x53bbf40939d54123) 679 var x188 uint64 680 var x189 uint64 681 x188, x189 = bits.Add64(x187, x184, uint64(0x0)) 682 var x190 uint64 683 var x191 uint64 684 x190, x191 = bits.Add64(x185, x182, uint64(sm2p256scalarUint1(x189))) 685 var x192 uint64 686 var x193 uint64 687 x192, x193 = bits.Add64(x183, x180, uint64(sm2p256scalarUint1(x191))) 688 x194 := (uint64(sm2p256scalarUint1(x193)) + x181) 689 var x196 uint64 690 _, x196 = bits.Add64(x168, x186, uint64(0x0)) 691 var x197 uint64 692 var x198 uint64 693 x197, x198 = bits.Add64(x170, x188, uint64(sm2p256scalarUint1(x196))) 694 var x199 uint64 695 var x200 uint64 696 x199, x200 = bits.Add64(x172, x190, uint64(sm2p256scalarUint1(x198))) 697 var x201 uint64 698 var x202 uint64 699 x201, x202 = bits.Add64(x174, x192, uint64(sm2p256scalarUint1(x200))) 700 var x203 uint64 701 var x204 uint64 702 x203, x204 = bits.Add64(x176, x194, uint64(sm2p256scalarUint1(x202))) 703 x205 := (uint64(sm2p256scalarUint1(x204)) + uint64(sm2p256scalarUint1(x177))) 704 var x206 uint64 705 var x207 uint64 706 x206, x207 = bits.Sub64(x197, 0x53bbf40939d54123, uint64(0x0)) 707 var x208 uint64 708 var x209 uint64 709 x208, x209 = bits.Sub64(x199, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x207))) 710 var x210 uint64 711 var x211 uint64 712 x210, x211 = bits.Sub64(x201, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x209))) 713 var x212 uint64 714 var x213 uint64 715 x212, x213 = bits.Sub64(x203, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x211))) 716 var x215 uint64 717 _, x215 = bits.Sub64(x205, uint64(0x0), uint64(sm2p256scalarUint1(x213))) 718 var x216 uint64 719 sm2p256scalarCmovznzU64(&x216, sm2p256scalarUint1(x215), x206, x197) 720 var x217 uint64 721 sm2p256scalarCmovznzU64(&x217, sm2p256scalarUint1(x215), x208, x199) 722 var x218 uint64 723 sm2p256scalarCmovznzU64(&x218, sm2p256scalarUint1(x215), x210, x201) 724 var x219 uint64 725 sm2p256scalarCmovznzU64(&x219, sm2p256scalarUint1(x215), x212, x203) 726 out1[0] = x216 727 out1[1] = x217 728 out1[2] = x218 729 out1[3] = x219 730 } 731 732 // sm2p256scalarAdd adds two field elements in the Montgomery domain. 733 // 734 // Preconditions: 735 // 0 ≤ eval arg1 < m 736 // 0 ≤ eval arg2 < m 737 // Postconditions: 738 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) + eval (from_montgomery arg2)) mod m 739 // 0 ≤ eval out1 < m 740 // 741 func sm2p256scalarAdd(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement, arg2 *sm2p256scalarMontgomeryDomainFieldElement) { 742 var x1 uint64 743 var x2 uint64 744 x1, x2 = bits.Add64(arg1[0], arg2[0], uint64(0x0)) 745 var x3 uint64 746 var x4 uint64 747 x3, x4 = bits.Add64(arg1[1], arg2[1], uint64(sm2p256scalarUint1(x2))) 748 var x5 uint64 749 var x6 uint64 750 x5, x6 = bits.Add64(arg1[2], arg2[2], uint64(sm2p256scalarUint1(x4))) 751 var x7 uint64 752 var x8 uint64 753 x7, x8 = bits.Add64(arg1[3], arg2[3], uint64(sm2p256scalarUint1(x6))) 754 var x9 uint64 755 var x10 uint64 756 x9, x10 = bits.Sub64(x1, 0x53bbf40939d54123, uint64(0x0)) 757 var x11 uint64 758 var x12 uint64 759 x11, x12 = bits.Sub64(x3, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x10))) 760 var x13 uint64 761 var x14 uint64 762 x13, x14 = bits.Sub64(x5, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x12))) 763 var x15 uint64 764 var x16 uint64 765 x15, x16 = bits.Sub64(x7, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x14))) 766 var x18 uint64 767 _, x18 = bits.Sub64(uint64(sm2p256scalarUint1(x8)), uint64(0x0), uint64(sm2p256scalarUint1(x16))) 768 var x19 uint64 769 sm2p256scalarCmovznzU64(&x19, sm2p256scalarUint1(x18), x9, x1) 770 var x20 uint64 771 sm2p256scalarCmovznzU64(&x20, sm2p256scalarUint1(x18), x11, x3) 772 var x21 uint64 773 sm2p256scalarCmovznzU64(&x21, sm2p256scalarUint1(x18), x13, x5) 774 var x22 uint64 775 sm2p256scalarCmovznzU64(&x22, sm2p256scalarUint1(x18), x15, x7) 776 out1[0] = x19 777 out1[1] = x20 778 out1[2] = x21 779 out1[3] = x22 780 } 781 782 // sm2p256scalarSub subtracts two field elements in the Montgomery domain. 783 // 784 // Preconditions: 785 // 0 ≤ eval arg1 < m 786 // 0 ≤ eval arg2 < m 787 // Postconditions: 788 // eval (from_montgomery out1) mod m = (eval (from_montgomery arg1) - eval (from_montgomery arg2)) mod m 789 // 0 ≤ eval out1 < m 790 // 791 func sm2p256scalarSub(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement, arg2 *sm2p256scalarMontgomeryDomainFieldElement) { 792 var x1 uint64 793 var x2 uint64 794 x1, x2 = bits.Sub64(arg1[0], arg2[0], uint64(0x0)) 795 var x3 uint64 796 var x4 uint64 797 x3, x4 = bits.Sub64(arg1[1], arg2[1], uint64(sm2p256scalarUint1(x2))) 798 var x5 uint64 799 var x6 uint64 800 x5, x6 = bits.Sub64(arg1[2], arg2[2], uint64(sm2p256scalarUint1(x4))) 801 var x7 uint64 802 var x8 uint64 803 x7, x8 = bits.Sub64(arg1[3], arg2[3], uint64(sm2p256scalarUint1(x6))) 804 var x9 uint64 805 sm2p256scalarCmovznzU64(&x9, sm2p256scalarUint1(x8), uint64(0x0), 0xffffffffffffffff) 806 var x10 uint64 807 var x11 uint64 808 x10, x11 = bits.Add64(x1, (x9 & 0x53bbf40939d54123), uint64(0x0)) 809 var x12 uint64 810 var x13 uint64 811 x12, x13 = bits.Add64(x3, (x9 & 0x7203df6b21c6052b), uint64(sm2p256scalarUint1(x11))) 812 var x14 uint64 813 var x15 uint64 814 x14, x15 = bits.Add64(x5, x9, uint64(sm2p256scalarUint1(x13))) 815 var x16 uint64 816 x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256scalarUint1(x15))) 817 out1[0] = x10 818 out1[1] = x12 819 out1[2] = x14 820 out1[3] = x16 821 } 822 823 // sm2p256scalarSetOne returns the field element one in the Montgomery domain. 824 // 825 // Postconditions: 826 // eval (from_montgomery out1) mod m = 1 mod m 827 // 0 ≤ eval out1 < m 828 // 829 func sm2p256scalarSetOne(out1 *sm2p256scalarMontgomeryDomainFieldElement) { 830 out1[0] = 0xac440bf6c62abedd 831 out1[1] = 0x8dfc2094de39fad4 832 out1[2] = uint64(0x0) 833 out1[3] = 0x100000000 834 } 835 836 // sm2p256scalarFromMontgomery translates a field element out of the Montgomery domain. 837 // 838 // Preconditions: 839 // 0 ≤ eval arg1 < m 840 // Postconditions: 841 // eval out1 mod m = (eval arg1 * ((2^64)⁻¹ mod m)^4) mod m 842 // 0 ≤ eval out1 < m 843 // 844 func sm2p256scalarFromMontgomery(out1 *sm2p256scalarNonMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement) { 845 x1 := arg1[0] 846 var x2 uint64 847 _, x2 = bits.Mul64(x1, 0x327f9e8872350975) 848 var x4 uint64 849 var x5 uint64 850 x5, x4 = bits.Mul64(x2, 0xfffffffeffffffff) 851 var x6 uint64 852 var x7 uint64 853 x7, x6 = bits.Mul64(x2, 0xffffffffffffffff) 854 var x8 uint64 855 var x9 uint64 856 x9, x8 = bits.Mul64(x2, 0x7203df6b21c6052b) 857 var x10 uint64 858 var x11 uint64 859 x11, x10 = bits.Mul64(x2, 0x53bbf40939d54123) 860 var x12 uint64 861 var x13 uint64 862 x12, x13 = bits.Add64(x11, x8, uint64(0x0)) 863 var x14 uint64 864 var x15 uint64 865 x14, x15 = bits.Add64(x9, x6, uint64(sm2p256scalarUint1(x13))) 866 var x16 uint64 867 var x17 uint64 868 x16, x17 = bits.Add64(x7, x4, uint64(sm2p256scalarUint1(x15))) 869 var x19 uint64 870 _, x19 = bits.Add64(x1, x10, uint64(0x0)) 871 var x20 uint64 872 var x21 uint64 873 x20, x21 = bits.Add64(uint64(0x0), x12, uint64(sm2p256scalarUint1(x19))) 874 var x22 uint64 875 var x23 uint64 876 x22, x23 = bits.Add64(uint64(0x0), x14, uint64(sm2p256scalarUint1(x21))) 877 var x24 uint64 878 var x25 uint64 879 x24, x25 = bits.Add64(uint64(0x0), x16, uint64(sm2p256scalarUint1(x23))) 880 var x26 uint64 881 var x27 uint64 882 x26, x27 = bits.Add64(x20, arg1[1], uint64(0x0)) 883 var x28 uint64 884 var x29 uint64 885 x28, x29 = bits.Add64(x22, uint64(0x0), uint64(sm2p256scalarUint1(x27))) 886 var x30 uint64 887 var x31 uint64 888 x30, x31 = bits.Add64(x24, uint64(0x0), uint64(sm2p256scalarUint1(x29))) 889 var x32 uint64 890 _, x32 = bits.Mul64(x26, 0x327f9e8872350975) 891 var x34 uint64 892 var x35 uint64 893 x35, x34 = bits.Mul64(x32, 0xfffffffeffffffff) 894 var x36 uint64 895 var x37 uint64 896 x37, x36 = bits.Mul64(x32, 0xffffffffffffffff) 897 var x38 uint64 898 var x39 uint64 899 x39, x38 = bits.Mul64(x32, 0x7203df6b21c6052b) 900 var x40 uint64 901 var x41 uint64 902 x41, x40 = bits.Mul64(x32, 0x53bbf40939d54123) 903 var x42 uint64 904 var x43 uint64 905 x42, x43 = bits.Add64(x41, x38, uint64(0x0)) 906 var x44 uint64 907 var x45 uint64 908 x44, x45 = bits.Add64(x39, x36, uint64(sm2p256scalarUint1(x43))) 909 var x46 uint64 910 var x47 uint64 911 x46, x47 = bits.Add64(x37, x34, uint64(sm2p256scalarUint1(x45))) 912 var x49 uint64 913 _, x49 = bits.Add64(x26, x40, uint64(0x0)) 914 var x50 uint64 915 var x51 uint64 916 x50, x51 = bits.Add64(x28, x42, uint64(sm2p256scalarUint1(x49))) 917 var x52 uint64 918 var x53 uint64 919 x52, x53 = bits.Add64(x30, x44, uint64(sm2p256scalarUint1(x51))) 920 var x54 uint64 921 var x55 uint64 922 x54, x55 = bits.Add64((uint64(sm2p256scalarUint1(x31)) + (uint64(sm2p256scalarUint1(x25)) + (uint64(sm2p256scalarUint1(x17)) + x5))), x46, uint64(sm2p256scalarUint1(x53))) 923 var x56 uint64 924 var x57 uint64 925 x56, x57 = bits.Add64(x50, arg1[2], uint64(0x0)) 926 var x58 uint64 927 var x59 uint64 928 x58, x59 = bits.Add64(x52, uint64(0x0), uint64(sm2p256scalarUint1(x57))) 929 var x60 uint64 930 var x61 uint64 931 x60, x61 = bits.Add64(x54, uint64(0x0), uint64(sm2p256scalarUint1(x59))) 932 var x62 uint64 933 _, x62 = bits.Mul64(x56, 0x327f9e8872350975) 934 var x64 uint64 935 var x65 uint64 936 x65, x64 = bits.Mul64(x62, 0xfffffffeffffffff) 937 var x66 uint64 938 var x67 uint64 939 x67, x66 = bits.Mul64(x62, 0xffffffffffffffff) 940 var x68 uint64 941 var x69 uint64 942 x69, x68 = bits.Mul64(x62, 0x7203df6b21c6052b) 943 var x70 uint64 944 var x71 uint64 945 x71, x70 = bits.Mul64(x62, 0x53bbf40939d54123) 946 var x72 uint64 947 var x73 uint64 948 x72, x73 = bits.Add64(x71, x68, uint64(0x0)) 949 var x74 uint64 950 var x75 uint64 951 x74, x75 = bits.Add64(x69, x66, uint64(sm2p256scalarUint1(x73))) 952 var x76 uint64 953 var x77 uint64 954 x76, x77 = bits.Add64(x67, x64, uint64(sm2p256scalarUint1(x75))) 955 var x79 uint64 956 _, x79 = bits.Add64(x56, x70, uint64(0x0)) 957 var x80 uint64 958 var x81 uint64 959 x80, x81 = bits.Add64(x58, x72, uint64(sm2p256scalarUint1(x79))) 960 var x82 uint64 961 var x83 uint64 962 x82, x83 = bits.Add64(x60, x74, uint64(sm2p256scalarUint1(x81))) 963 var x84 uint64 964 var x85 uint64 965 x84, x85 = bits.Add64((uint64(sm2p256scalarUint1(x61)) + (uint64(sm2p256scalarUint1(x55)) + (uint64(sm2p256scalarUint1(x47)) + x35))), x76, uint64(sm2p256scalarUint1(x83))) 966 var x86 uint64 967 var x87 uint64 968 x86, x87 = bits.Add64(x80, arg1[3], uint64(0x0)) 969 var x88 uint64 970 var x89 uint64 971 x88, x89 = bits.Add64(x82, uint64(0x0), uint64(sm2p256scalarUint1(x87))) 972 var x90 uint64 973 var x91 uint64 974 x90, x91 = bits.Add64(x84, uint64(0x0), uint64(sm2p256scalarUint1(x89))) 975 var x92 uint64 976 _, x92 = bits.Mul64(x86, 0x327f9e8872350975) 977 var x94 uint64 978 var x95 uint64 979 x95, x94 = bits.Mul64(x92, 0xfffffffeffffffff) 980 var x96 uint64 981 var x97 uint64 982 x97, x96 = bits.Mul64(x92, 0xffffffffffffffff) 983 var x98 uint64 984 var x99 uint64 985 x99, x98 = bits.Mul64(x92, 0x7203df6b21c6052b) 986 var x100 uint64 987 var x101 uint64 988 x101, x100 = bits.Mul64(x92, 0x53bbf40939d54123) 989 var x102 uint64 990 var x103 uint64 991 x102, x103 = bits.Add64(x101, x98, uint64(0x0)) 992 var x104 uint64 993 var x105 uint64 994 x104, x105 = bits.Add64(x99, x96, uint64(sm2p256scalarUint1(x103))) 995 var x106 uint64 996 var x107 uint64 997 x106, x107 = bits.Add64(x97, x94, uint64(sm2p256scalarUint1(x105))) 998 var x109 uint64 999 _, x109 = bits.Add64(x86, x100, uint64(0x0)) 1000 var x110 uint64 1001 var x111 uint64 1002 x110, x111 = bits.Add64(x88, x102, uint64(sm2p256scalarUint1(x109))) 1003 var x112 uint64 1004 var x113 uint64 1005 x112, x113 = bits.Add64(x90, x104, uint64(sm2p256scalarUint1(x111))) 1006 var x114 uint64 1007 var x115 uint64 1008 x114, x115 = bits.Add64((uint64(sm2p256scalarUint1(x91)) + (uint64(sm2p256scalarUint1(x85)) + (uint64(sm2p256scalarUint1(x77)) + x65))), x106, uint64(sm2p256scalarUint1(x113))) 1009 x116 := (uint64(sm2p256scalarUint1(x115)) + (uint64(sm2p256scalarUint1(x107)) + x95)) 1010 var x117 uint64 1011 var x118 uint64 1012 x117, x118 = bits.Sub64(x110, 0x53bbf40939d54123, uint64(0x0)) 1013 var x119 uint64 1014 var x120 uint64 1015 x119, x120 = bits.Sub64(x112, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x118))) 1016 var x121 uint64 1017 var x122 uint64 1018 x121, x122 = bits.Sub64(x114, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x120))) 1019 var x123 uint64 1020 var x124 uint64 1021 x123, x124 = bits.Sub64(x116, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x122))) 1022 var x126 uint64 1023 _, x126 = bits.Sub64(uint64(0x0), uint64(0x0), uint64(sm2p256scalarUint1(x124))) 1024 var x127 uint64 1025 sm2p256scalarCmovznzU64(&x127, sm2p256scalarUint1(x126), x117, x110) 1026 var x128 uint64 1027 sm2p256scalarCmovznzU64(&x128, sm2p256scalarUint1(x126), x119, x112) 1028 var x129 uint64 1029 sm2p256scalarCmovznzU64(&x129, sm2p256scalarUint1(x126), x121, x114) 1030 var x130 uint64 1031 sm2p256scalarCmovznzU64(&x130, sm2p256scalarUint1(x126), x123, x116) 1032 out1[0] = x127 1033 out1[1] = x128 1034 out1[2] = x129 1035 out1[3] = x130 1036 } 1037 1038 // sm2p256scalarToMontgomery translates a field element into the Montgomery domain. 1039 // 1040 // Preconditions: 1041 // 0 ≤ eval arg1 < m 1042 // Postconditions: 1043 // eval (from_montgomery out1) mod m = eval arg1 mod m 1044 // 0 ≤ eval out1 < m 1045 // 1046 func sm2p256scalarToMontgomery(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarNonMontgomeryDomainFieldElement) { 1047 x1 := arg1[1] 1048 x2 := arg1[2] 1049 x3 := arg1[3] 1050 x4 := arg1[0] 1051 var x5 uint64 1052 var x6 uint64 1053 x6, x5 = bits.Mul64(x4, 0x1eb5e412a22b3d3b) 1054 var x7 uint64 1055 var x8 uint64 1056 x8, x7 = bits.Mul64(x4, 0x620fc84c3affe0d4) 1057 var x9 uint64 1058 var x10 uint64 1059 x10, x9 = bits.Mul64(x4, 0x3464504ade6fa2fa) 1060 var x11 uint64 1061 var x12 uint64 1062 x12, x11 = bits.Mul64(x4, 0x901192af7c114f20) 1063 var x13 uint64 1064 var x14 uint64 1065 x13, x14 = bits.Add64(x12, x9, uint64(0x0)) 1066 var x15 uint64 1067 var x16 uint64 1068 x15, x16 = bits.Add64(x10, x7, uint64(sm2p256scalarUint1(x14))) 1069 var x17 uint64 1070 var x18 uint64 1071 x17, x18 = bits.Add64(x8, x5, uint64(sm2p256scalarUint1(x16))) 1072 var x19 uint64 1073 _, x19 = bits.Mul64(x11, 0x327f9e8872350975) 1074 var x21 uint64 1075 var x22 uint64 1076 x22, x21 = bits.Mul64(x19, 0xfffffffeffffffff) 1077 var x23 uint64 1078 var x24 uint64 1079 x24, x23 = bits.Mul64(x19, 0xffffffffffffffff) 1080 var x25 uint64 1081 var x26 uint64 1082 x26, x25 = bits.Mul64(x19, 0x7203df6b21c6052b) 1083 var x27 uint64 1084 var x28 uint64 1085 x28, x27 = bits.Mul64(x19, 0x53bbf40939d54123) 1086 var x29 uint64 1087 var x30 uint64 1088 x29, x30 = bits.Add64(x28, x25, uint64(0x0)) 1089 var x31 uint64 1090 var x32 uint64 1091 x31, x32 = bits.Add64(x26, x23, uint64(sm2p256scalarUint1(x30))) 1092 var x33 uint64 1093 var x34 uint64 1094 x33, x34 = bits.Add64(x24, x21, uint64(sm2p256scalarUint1(x32))) 1095 var x36 uint64 1096 _, x36 = bits.Add64(x11, x27, uint64(0x0)) 1097 var x37 uint64 1098 var x38 uint64 1099 x37, x38 = bits.Add64(x13, x29, uint64(sm2p256scalarUint1(x36))) 1100 var x39 uint64 1101 var x40 uint64 1102 x39, x40 = bits.Add64(x15, x31, uint64(sm2p256scalarUint1(x38))) 1103 var x41 uint64 1104 var x42 uint64 1105 x41, x42 = bits.Add64(x17, x33, uint64(sm2p256scalarUint1(x40))) 1106 var x43 uint64 1107 var x44 uint64 1108 x43, x44 = bits.Add64((uint64(sm2p256scalarUint1(x18)) + x6), (uint64(sm2p256scalarUint1(x34)) + x22), uint64(sm2p256scalarUint1(x42))) 1109 var x45 uint64 1110 var x46 uint64 1111 x46, x45 = bits.Mul64(x1, 0x1eb5e412a22b3d3b) 1112 var x47 uint64 1113 var x48 uint64 1114 x48, x47 = bits.Mul64(x1, 0x620fc84c3affe0d4) 1115 var x49 uint64 1116 var x50 uint64 1117 x50, x49 = bits.Mul64(x1, 0x3464504ade6fa2fa) 1118 var x51 uint64 1119 var x52 uint64 1120 x52, x51 = bits.Mul64(x1, 0x901192af7c114f20) 1121 var x53 uint64 1122 var x54 uint64 1123 x53, x54 = bits.Add64(x52, x49, uint64(0x0)) 1124 var x55 uint64 1125 var x56 uint64 1126 x55, x56 = bits.Add64(x50, x47, uint64(sm2p256scalarUint1(x54))) 1127 var x57 uint64 1128 var x58 uint64 1129 x57, x58 = bits.Add64(x48, x45, uint64(sm2p256scalarUint1(x56))) 1130 var x59 uint64 1131 var x60 uint64 1132 x59, x60 = bits.Add64(x37, x51, uint64(0x0)) 1133 var x61 uint64 1134 var x62 uint64 1135 x61, x62 = bits.Add64(x39, x53, uint64(sm2p256scalarUint1(x60))) 1136 var x63 uint64 1137 var x64 uint64 1138 x63, x64 = bits.Add64(x41, x55, uint64(sm2p256scalarUint1(x62))) 1139 var x65 uint64 1140 var x66 uint64 1141 x65, x66 = bits.Add64(x43, x57, uint64(sm2p256scalarUint1(x64))) 1142 var x67 uint64 1143 _, x67 = bits.Mul64(x59, 0x327f9e8872350975) 1144 var x69 uint64 1145 var x70 uint64 1146 x70, x69 = bits.Mul64(x67, 0xfffffffeffffffff) 1147 var x71 uint64 1148 var x72 uint64 1149 x72, x71 = bits.Mul64(x67, 0xffffffffffffffff) 1150 var x73 uint64 1151 var x74 uint64 1152 x74, x73 = bits.Mul64(x67, 0x7203df6b21c6052b) 1153 var x75 uint64 1154 var x76 uint64 1155 x76, x75 = bits.Mul64(x67, 0x53bbf40939d54123) 1156 var x77 uint64 1157 var x78 uint64 1158 x77, x78 = bits.Add64(x76, x73, uint64(0x0)) 1159 var x79 uint64 1160 var x80 uint64 1161 x79, x80 = bits.Add64(x74, x71, uint64(sm2p256scalarUint1(x78))) 1162 var x81 uint64 1163 var x82 uint64 1164 x81, x82 = bits.Add64(x72, x69, uint64(sm2p256scalarUint1(x80))) 1165 var x84 uint64 1166 _, x84 = bits.Add64(x59, x75, uint64(0x0)) 1167 var x85 uint64 1168 var x86 uint64 1169 x85, x86 = bits.Add64(x61, x77, uint64(sm2p256scalarUint1(x84))) 1170 var x87 uint64 1171 var x88 uint64 1172 x87, x88 = bits.Add64(x63, x79, uint64(sm2p256scalarUint1(x86))) 1173 var x89 uint64 1174 var x90 uint64 1175 x89, x90 = bits.Add64(x65, x81, uint64(sm2p256scalarUint1(x88))) 1176 var x91 uint64 1177 var x92 uint64 1178 x91, x92 = bits.Add64(((uint64(sm2p256scalarUint1(x66)) + uint64(sm2p256scalarUint1(x44))) + (uint64(sm2p256scalarUint1(x58)) + x46)), (uint64(sm2p256scalarUint1(x82)) + x70), uint64(sm2p256scalarUint1(x90))) 1179 var x93 uint64 1180 var x94 uint64 1181 x94, x93 = bits.Mul64(x2, 0x1eb5e412a22b3d3b) 1182 var x95 uint64 1183 var x96 uint64 1184 x96, x95 = bits.Mul64(x2, 0x620fc84c3affe0d4) 1185 var x97 uint64 1186 var x98 uint64 1187 x98, x97 = bits.Mul64(x2, 0x3464504ade6fa2fa) 1188 var x99 uint64 1189 var x100 uint64 1190 x100, x99 = bits.Mul64(x2, 0x901192af7c114f20) 1191 var x101 uint64 1192 var x102 uint64 1193 x101, x102 = bits.Add64(x100, x97, uint64(0x0)) 1194 var x103 uint64 1195 var x104 uint64 1196 x103, x104 = bits.Add64(x98, x95, uint64(sm2p256scalarUint1(x102))) 1197 var x105 uint64 1198 var x106 uint64 1199 x105, x106 = bits.Add64(x96, x93, uint64(sm2p256scalarUint1(x104))) 1200 var x107 uint64 1201 var x108 uint64 1202 x107, x108 = bits.Add64(x85, x99, uint64(0x0)) 1203 var x109 uint64 1204 var x110 uint64 1205 x109, x110 = bits.Add64(x87, x101, uint64(sm2p256scalarUint1(x108))) 1206 var x111 uint64 1207 var x112 uint64 1208 x111, x112 = bits.Add64(x89, x103, uint64(sm2p256scalarUint1(x110))) 1209 var x113 uint64 1210 var x114 uint64 1211 x113, x114 = bits.Add64(x91, x105, uint64(sm2p256scalarUint1(x112))) 1212 var x115 uint64 1213 _, x115 = bits.Mul64(x107, 0x327f9e8872350975) 1214 var x117 uint64 1215 var x118 uint64 1216 x118, x117 = bits.Mul64(x115, 0xfffffffeffffffff) 1217 var x119 uint64 1218 var x120 uint64 1219 x120, x119 = bits.Mul64(x115, 0xffffffffffffffff) 1220 var x121 uint64 1221 var x122 uint64 1222 x122, x121 = bits.Mul64(x115, 0x7203df6b21c6052b) 1223 var x123 uint64 1224 var x124 uint64 1225 x124, x123 = bits.Mul64(x115, 0x53bbf40939d54123) 1226 var x125 uint64 1227 var x126 uint64 1228 x125, x126 = bits.Add64(x124, x121, uint64(0x0)) 1229 var x127 uint64 1230 var x128 uint64 1231 x127, x128 = bits.Add64(x122, x119, uint64(sm2p256scalarUint1(x126))) 1232 var x129 uint64 1233 var x130 uint64 1234 x129, x130 = bits.Add64(x120, x117, uint64(sm2p256scalarUint1(x128))) 1235 var x132 uint64 1236 _, x132 = bits.Add64(x107, x123, uint64(0x0)) 1237 var x133 uint64 1238 var x134 uint64 1239 x133, x134 = bits.Add64(x109, x125, uint64(sm2p256scalarUint1(x132))) 1240 var x135 uint64 1241 var x136 uint64 1242 x135, x136 = bits.Add64(x111, x127, uint64(sm2p256scalarUint1(x134))) 1243 var x137 uint64 1244 var x138 uint64 1245 x137, x138 = bits.Add64(x113, x129, uint64(sm2p256scalarUint1(x136))) 1246 var x139 uint64 1247 var x140 uint64 1248 x139, x140 = bits.Add64(((uint64(sm2p256scalarUint1(x114)) + uint64(sm2p256scalarUint1(x92))) + (uint64(sm2p256scalarUint1(x106)) + x94)), (uint64(sm2p256scalarUint1(x130)) + x118), uint64(sm2p256scalarUint1(x138))) 1249 var x141 uint64 1250 var x142 uint64 1251 x142, x141 = bits.Mul64(x3, 0x1eb5e412a22b3d3b) 1252 var x143 uint64 1253 var x144 uint64 1254 x144, x143 = bits.Mul64(x3, 0x620fc84c3affe0d4) 1255 var x145 uint64 1256 var x146 uint64 1257 x146, x145 = bits.Mul64(x3, 0x3464504ade6fa2fa) 1258 var x147 uint64 1259 var x148 uint64 1260 x148, x147 = bits.Mul64(x3, 0x901192af7c114f20) 1261 var x149 uint64 1262 var x150 uint64 1263 x149, x150 = bits.Add64(x148, x145, uint64(0x0)) 1264 var x151 uint64 1265 var x152 uint64 1266 x151, x152 = bits.Add64(x146, x143, uint64(sm2p256scalarUint1(x150))) 1267 var x153 uint64 1268 var x154 uint64 1269 x153, x154 = bits.Add64(x144, x141, uint64(sm2p256scalarUint1(x152))) 1270 var x155 uint64 1271 var x156 uint64 1272 x155, x156 = bits.Add64(x133, x147, uint64(0x0)) 1273 var x157 uint64 1274 var x158 uint64 1275 x157, x158 = bits.Add64(x135, x149, uint64(sm2p256scalarUint1(x156))) 1276 var x159 uint64 1277 var x160 uint64 1278 x159, x160 = bits.Add64(x137, x151, uint64(sm2p256scalarUint1(x158))) 1279 var x161 uint64 1280 var x162 uint64 1281 x161, x162 = bits.Add64(x139, x153, uint64(sm2p256scalarUint1(x160))) 1282 var x163 uint64 1283 _, x163 = bits.Mul64(x155, 0x327f9e8872350975) 1284 var x165 uint64 1285 var x166 uint64 1286 x166, x165 = bits.Mul64(x163, 0xfffffffeffffffff) 1287 var x167 uint64 1288 var x168 uint64 1289 x168, x167 = bits.Mul64(x163, 0xffffffffffffffff) 1290 var x169 uint64 1291 var x170 uint64 1292 x170, x169 = bits.Mul64(x163, 0x7203df6b21c6052b) 1293 var x171 uint64 1294 var x172 uint64 1295 x172, x171 = bits.Mul64(x163, 0x53bbf40939d54123) 1296 var x173 uint64 1297 var x174 uint64 1298 x173, x174 = bits.Add64(x172, x169, uint64(0x0)) 1299 var x175 uint64 1300 var x176 uint64 1301 x175, x176 = bits.Add64(x170, x167, uint64(sm2p256scalarUint1(x174))) 1302 var x177 uint64 1303 var x178 uint64 1304 x177, x178 = bits.Add64(x168, x165, uint64(sm2p256scalarUint1(x176))) 1305 var x180 uint64 1306 _, x180 = bits.Add64(x155, x171, uint64(0x0)) 1307 var x181 uint64 1308 var x182 uint64 1309 x181, x182 = bits.Add64(x157, x173, uint64(sm2p256scalarUint1(x180))) 1310 var x183 uint64 1311 var x184 uint64 1312 x183, x184 = bits.Add64(x159, x175, uint64(sm2p256scalarUint1(x182))) 1313 var x185 uint64 1314 var x186 uint64 1315 x185, x186 = bits.Add64(x161, x177, uint64(sm2p256scalarUint1(x184))) 1316 var x187 uint64 1317 var x188 uint64 1318 x187, x188 = bits.Add64(((uint64(sm2p256scalarUint1(x162)) + uint64(sm2p256scalarUint1(x140))) + (uint64(sm2p256scalarUint1(x154)) + x142)), (uint64(sm2p256scalarUint1(x178)) + x166), uint64(sm2p256scalarUint1(x186))) 1319 var x189 uint64 1320 var x190 uint64 1321 x189, x190 = bits.Sub64(x181, 0x53bbf40939d54123, uint64(0x0)) 1322 var x191 uint64 1323 var x192 uint64 1324 x191, x192 = bits.Sub64(x183, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x190))) 1325 var x193 uint64 1326 var x194 uint64 1327 x193, x194 = bits.Sub64(x185, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x192))) 1328 var x195 uint64 1329 var x196 uint64 1330 x195, x196 = bits.Sub64(x187, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x194))) 1331 var x198 uint64 1332 _, x198 = bits.Sub64(uint64(sm2p256scalarUint1(x188)), uint64(0x0), uint64(sm2p256scalarUint1(x196))) 1333 var x199 uint64 1334 sm2p256scalarCmovznzU64(&x199, sm2p256scalarUint1(x198), x189, x181) 1335 var x200 uint64 1336 sm2p256scalarCmovznzU64(&x200, sm2p256scalarUint1(x198), x191, x183) 1337 var x201 uint64 1338 sm2p256scalarCmovznzU64(&x201, sm2p256scalarUint1(x198), x193, x185) 1339 var x202 uint64 1340 sm2p256scalarCmovznzU64(&x202, sm2p256scalarUint1(x198), x195, x187) 1341 out1[0] = x199 1342 out1[1] = x200 1343 out1[2] = x201 1344 out1[3] = x202 1345 } 1346 1347 // sm2p256scalarSelectznz is a multi-limb conditional select. 1348 // 1349 // Postconditions: 1350 // out1 = (if arg1 = 0 then arg2 else arg3) 1351 // 1352 // Input Bounds: 1353 // arg1: [0x0 ~> 0x1] 1354 // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1355 // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1356 // Output Bounds: 1357 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1358 func sm2p256scalarSelectznz(out1 *[4]uint64, arg1 sm2p256scalarUint1, arg2 *[4]uint64, arg3 *[4]uint64) { 1359 var x1 uint64 1360 sm2p256scalarCmovznzU64(&x1, arg1, arg2[0], arg3[0]) 1361 var x2 uint64 1362 sm2p256scalarCmovznzU64(&x2, arg1, arg2[1], arg3[1]) 1363 var x3 uint64 1364 sm2p256scalarCmovznzU64(&x3, arg1, arg2[2], arg3[2]) 1365 var x4 uint64 1366 sm2p256scalarCmovznzU64(&x4, arg1, arg2[3], arg3[3]) 1367 out1[0] = x1 1368 out1[1] = x2 1369 out1[2] = x3 1370 out1[3] = x4 1371 } 1372 1373 // sm2p256scalarToBytes serializes a field element NOT in the Montgomery domain to bytes in little-endian order. 1374 // 1375 // Preconditions: 1376 // 0 ≤ eval arg1 < m 1377 // Postconditions: 1378 // out1 = map (λ x, ⌊((eval arg1 mod m) mod 2^(8 * (x + 1))) / 2^(8 * x)⌋) [0..31] 1379 // 1380 // Input Bounds: 1381 // arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1382 // Output Bounds: 1383 // 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]] 1384 func sm2p256scalarToBytes(out1 *[32]uint8, arg1 *[4]uint64) { 1385 x1 := arg1[3] 1386 x2 := arg1[2] 1387 x3 := arg1[1] 1388 x4 := arg1[0] 1389 x5 := (uint8(x4) & 0xff) 1390 x6 := (x4 >> 8) 1391 x7 := (uint8(x6) & 0xff) 1392 x8 := (x6 >> 8) 1393 x9 := (uint8(x8) & 0xff) 1394 x10 := (x8 >> 8) 1395 x11 := (uint8(x10) & 0xff) 1396 x12 := (x10 >> 8) 1397 x13 := (uint8(x12) & 0xff) 1398 x14 := (x12 >> 8) 1399 x15 := (uint8(x14) & 0xff) 1400 x16 := (x14 >> 8) 1401 x17 := (uint8(x16) & 0xff) 1402 x18 := uint8((x16 >> 8)) 1403 x19 := (uint8(x3) & 0xff) 1404 x20 := (x3 >> 8) 1405 x21 := (uint8(x20) & 0xff) 1406 x22 := (x20 >> 8) 1407 x23 := (uint8(x22) & 0xff) 1408 x24 := (x22 >> 8) 1409 x25 := (uint8(x24) & 0xff) 1410 x26 := (x24 >> 8) 1411 x27 := (uint8(x26) & 0xff) 1412 x28 := (x26 >> 8) 1413 x29 := (uint8(x28) & 0xff) 1414 x30 := (x28 >> 8) 1415 x31 := (uint8(x30) & 0xff) 1416 x32 := uint8((x30 >> 8)) 1417 x33 := (uint8(x2) & 0xff) 1418 x34 := (x2 >> 8) 1419 x35 := (uint8(x34) & 0xff) 1420 x36 := (x34 >> 8) 1421 x37 := (uint8(x36) & 0xff) 1422 x38 := (x36 >> 8) 1423 x39 := (uint8(x38) & 0xff) 1424 x40 := (x38 >> 8) 1425 x41 := (uint8(x40) & 0xff) 1426 x42 := (x40 >> 8) 1427 x43 := (uint8(x42) & 0xff) 1428 x44 := (x42 >> 8) 1429 x45 := (uint8(x44) & 0xff) 1430 x46 := uint8((x44 >> 8)) 1431 x47 := (uint8(x1) & 0xff) 1432 x48 := (x1 >> 8) 1433 x49 := (uint8(x48) & 0xff) 1434 x50 := (x48 >> 8) 1435 x51 := (uint8(x50) & 0xff) 1436 x52 := (x50 >> 8) 1437 x53 := (uint8(x52) & 0xff) 1438 x54 := (x52 >> 8) 1439 x55 := (uint8(x54) & 0xff) 1440 x56 := (x54 >> 8) 1441 x57 := (uint8(x56) & 0xff) 1442 x58 := (x56 >> 8) 1443 x59 := (uint8(x58) & 0xff) 1444 x60 := uint8((x58 >> 8)) 1445 out1[0] = x5 1446 out1[1] = x7 1447 out1[2] = x9 1448 out1[3] = x11 1449 out1[4] = x13 1450 out1[5] = x15 1451 out1[6] = x17 1452 out1[7] = x18 1453 out1[8] = x19 1454 out1[9] = x21 1455 out1[10] = x23 1456 out1[11] = x25 1457 out1[12] = x27 1458 out1[13] = x29 1459 out1[14] = x31 1460 out1[15] = x32 1461 out1[16] = x33 1462 out1[17] = x35 1463 out1[18] = x37 1464 out1[19] = x39 1465 out1[20] = x41 1466 out1[21] = x43 1467 out1[22] = x45 1468 out1[23] = x46 1469 out1[24] = x47 1470 out1[25] = x49 1471 out1[26] = x51 1472 out1[27] = x53 1473 out1[28] = x55 1474 out1[29] = x57 1475 out1[30] = x59 1476 out1[31] = x60 1477 } 1478 1479 // sm2p256scalarFromBytes deserializes a field element NOT in the Montgomery domain from bytes in little-endian order. 1480 // 1481 // Preconditions: 1482 // 0 ≤ bytes_eval arg1 < m 1483 // Postconditions: 1484 // eval out1 mod m = bytes_eval arg1 mod m 1485 // 0 ≤ eval out1 < m 1486 // 1487 // Input Bounds: 1488 // 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]] 1489 // Output Bounds: 1490 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1491 func sm2p256scalarFromBytes(out1 *[4]uint64, arg1 *[32]uint8) { 1492 x1 := (uint64(arg1[31]) << 56) 1493 x2 := (uint64(arg1[30]) << 48) 1494 x3 := (uint64(arg1[29]) << 40) 1495 x4 := (uint64(arg1[28]) << 32) 1496 x5 := (uint64(arg1[27]) << 24) 1497 x6 := (uint64(arg1[26]) << 16) 1498 x7 := (uint64(arg1[25]) << 8) 1499 x8 := arg1[24] 1500 x9 := (uint64(arg1[23]) << 56) 1501 x10 := (uint64(arg1[22]) << 48) 1502 x11 := (uint64(arg1[21]) << 40) 1503 x12 := (uint64(arg1[20]) << 32) 1504 x13 := (uint64(arg1[19]) << 24) 1505 x14 := (uint64(arg1[18]) << 16) 1506 x15 := (uint64(arg1[17]) << 8) 1507 x16 := arg1[16] 1508 x17 := (uint64(arg1[15]) << 56) 1509 x18 := (uint64(arg1[14]) << 48) 1510 x19 := (uint64(arg1[13]) << 40) 1511 x20 := (uint64(arg1[12]) << 32) 1512 x21 := (uint64(arg1[11]) << 24) 1513 x22 := (uint64(arg1[10]) << 16) 1514 x23 := (uint64(arg1[9]) << 8) 1515 x24 := arg1[8] 1516 x25 := (uint64(arg1[7]) << 56) 1517 x26 := (uint64(arg1[6]) << 48) 1518 x27 := (uint64(arg1[5]) << 40) 1519 x28 := (uint64(arg1[4]) << 32) 1520 x29 := (uint64(arg1[3]) << 24) 1521 x30 := (uint64(arg1[2]) << 16) 1522 x31 := (uint64(arg1[1]) << 8) 1523 x32 := arg1[0] 1524 x33 := (x31 + uint64(x32)) 1525 x34 := (x30 + x33) 1526 x35 := (x29 + x34) 1527 x36 := (x28 + x35) 1528 x37 := (x27 + x36) 1529 x38 := (x26 + x37) 1530 x39 := (x25 + x38) 1531 x40 := (x23 + uint64(x24)) 1532 x41 := (x22 + x40) 1533 x42 := (x21 + x41) 1534 x43 := (x20 + x42) 1535 x44 := (x19 + x43) 1536 x45 := (x18 + x44) 1537 x46 := (x17 + x45) 1538 x47 := (x15 + uint64(x16)) 1539 x48 := (x14 + x47) 1540 x49 := (x13 + x48) 1541 x50 := (x12 + x49) 1542 x51 := (x11 + x50) 1543 x52 := (x10 + x51) 1544 x53 := (x9 + x52) 1545 x54 := (x7 + uint64(x8)) 1546 x55 := (x6 + x54) 1547 x56 := (x5 + x55) 1548 x57 := (x4 + x56) 1549 x58 := (x3 + x57) 1550 x59 := (x2 + x58) 1551 x60 := (x1 + x59) 1552 out1[0] = x39 1553 out1[1] = x46 1554 out1[2] = x53 1555 out1[3] = x60 1556 } 1557 1558 // sm2p256scalarNonzero outputs a single non-zero word if the input is non-zero and zero otherwise. 1559 // 1560 // Preconditions: 1561 // 0 ≤ eval arg1 < m 1562 // Postconditions: 1563 // out1 = 0 ↔ eval (from_montgomery arg1) mod m = 0 1564 // 1565 // Input Bounds: 1566 // arg1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1567 // Output Bounds: 1568 // out1: [0x0 ~> 0xffffffffffffffff] 1569 func sm2p256scalarNonzero(out1 *uint64, arg1 *[4]uint64) { 1570 x1 := (arg1[0] | (arg1[1] | (arg1[2] | arg1[3]))) 1571 *out1 = x1 1572 } 1573 1574 // sm2p256scalarOpp negates a field element in the Montgomery domain. 1575 // 1576 // Preconditions: 1577 // 0 ≤ eval arg1 < m 1578 // Postconditions: 1579 // eval (from_montgomery out1) mod m = -eval (from_montgomery arg1) mod m 1580 // 0 ≤ eval out1 < m 1581 // 1582 func sm2p256scalarOpp(out1 *sm2p256scalarMontgomeryDomainFieldElement, arg1 *sm2p256scalarMontgomeryDomainFieldElement) { 1583 var x1 uint64 1584 var x2 uint64 1585 x1, x2 = bits.Sub64(uint64(0x0), arg1[0], uint64(0x0)) 1586 var x3 uint64 1587 var x4 uint64 1588 x3, x4 = bits.Sub64(uint64(0x0), arg1[1], uint64(sm2p256scalarUint1(x2))) 1589 var x5 uint64 1590 var x6 uint64 1591 x5, x6 = bits.Sub64(uint64(0x0), arg1[2], uint64(sm2p256scalarUint1(x4))) 1592 var x7 uint64 1593 var x8 uint64 1594 x7, x8 = bits.Sub64(uint64(0x0), arg1[3], uint64(sm2p256scalarUint1(x6))) 1595 var x9 uint64 1596 sm2p256scalarCmovznzU64(&x9, sm2p256scalarUint1(x8), uint64(0x0), 0xffffffffffffffff) 1597 var x10 uint64 1598 var x11 uint64 1599 x10, x11 = bits.Add64(x1, (x9 & 0x53bbf40939d54123), uint64(0x0)) 1600 var x12 uint64 1601 var x13 uint64 1602 x12, x13 = bits.Add64(x3, (x9 & 0x7203df6b21c6052b), uint64(sm2p256scalarUint1(x11))) 1603 var x14 uint64 1604 var x15 uint64 1605 x14, x15 = bits.Add64(x5, x9, uint64(sm2p256scalarUint1(x13))) 1606 var x16 uint64 1607 x16, _ = bits.Add64(x7, (x9 & 0xfffffffeffffffff), uint64(sm2p256scalarUint1(x15))) 1608 out1[0] = x10 1609 out1[1] = x12 1610 out1[2] = x14 1611 out1[3] = x16 1612 } 1613 1614 // sm2p256scalarMsat returns the saturated representation of the prime modulus. 1615 // 1616 // Postconditions: 1617 // twos_complement_eval out1 = m 1618 // 0 ≤ eval out1 < m 1619 // 1620 // Output Bounds: 1621 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1622 func sm2p256scalarMsat(out1 *[5]uint64) { 1623 out1[0] = 0x53bbf40939d54123 1624 out1[1] = 0x7203df6b21c6052b 1625 out1[2] = 0xffffffffffffffff 1626 out1[3] = 0xfffffffeffffffff 1627 out1[4] = uint64(0x0) 1628 } 1629 1630 // sm2p256scalarDivstep computes a divstep. 1631 // 1632 // Preconditions: 1633 // 0 ≤ eval arg4 < m 1634 // 0 ≤ eval arg5 < m 1635 // Postconditions: 1636 // out1 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then 1 - arg1 else 1 + arg1) 1637 // twos_complement_eval out2 = (if 0 < arg1 ∧ (twos_complement_eval arg3) is odd then twos_complement_eval arg3 else twos_complement_eval arg2) 1638 // 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⌋) 1639 // 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) 1640 // 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) 1641 // 0 ≤ eval out5 < m 1642 // 0 ≤ eval out5 < m 1643 // 0 ≤ eval out2 < m 1644 // 0 ≤ eval out3 < m 1645 // 1646 // Input Bounds: 1647 // arg1: [0x0 ~> 0xffffffffffffffff] 1648 // arg2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1649 // arg3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1650 // arg4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1651 // arg5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1652 // Output Bounds: 1653 // out1: [0x0 ~> 0xffffffffffffffff] 1654 // out2: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1655 // out3: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1656 // out4: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1657 // out5: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1658 func sm2p256scalarDivstep(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) { 1659 var x1 uint64 1660 x1, _ = bits.Add64((^arg1), uint64(0x1), uint64(0x0)) 1661 x3 := (sm2p256scalarUint1((x1 >> 63)) & (sm2p256scalarUint1(arg3[0]) & 0x1)) 1662 var x4 uint64 1663 x4, _ = bits.Add64((^arg1), uint64(0x1), uint64(0x0)) 1664 var x6 uint64 1665 sm2p256scalarCmovznzU64(&x6, x3, arg1, x4) 1666 var x7 uint64 1667 sm2p256scalarCmovznzU64(&x7, x3, arg2[0], arg3[0]) 1668 var x8 uint64 1669 sm2p256scalarCmovznzU64(&x8, x3, arg2[1], arg3[1]) 1670 var x9 uint64 1671 sm2p256scalarCmovznzU64(&x9, x3, arg2[2], arg3[2]) 1672 var x10 uint64 1673 sm2p256scalarCmovznzU64(&x10, x3, arg2[3], arg3[3]) 1674 var x11 uint64 1675 sm2p256scalarCmovznzU64(&x11, x3, arg2[4], arg3[4]) 1676 var x12 uint64 1677 var x13 uint64 1678 x12, x13 = bits.Add64(uint64(0x1), (^arg2[0]), uint64(0x0)) 1679 var x14 uint64 1680 var x15 uint64 1681 x14, x15 = bits.Add64(uint64(0x0), (^arg2[1]), uint64(sm2p256scalarUint1(x13))) 1682 var x16 uint64 1683 var x17 uint64 1684 x16, x17 = bits.Add64(uint64(0x0), (^arg2[2]), uint64(sm2p256scalarUint1(x15))) 1685 var x18 uint64 1686 var x19 uint64 1687 x18, x19 = bits.Add64(uint64(0x0), (^arg2[3]), uint64(sm2p256scalarUint1(x17))) 1688 var x20 uint64 1689 x20, _ = bits.Add64(uint64(0x0), (^arg2[4]), uint64(sm2p256scalarUint1(x19))) 1690 var x22 uint64 1691 sm2p256scalarCmovznzU64(&x22, x3, arg3[0], x12) 1692 var x23 uint64 1693 sm2p256scalarCmovznzU64(&x23, x3, arg3[1], x14) 1694 var x24 uint64 1695 sm2p256scalarCmovznzU64(&x24, x3, arg3[2], x16) 1696 var x25 uint64 1697 sm2p256scalarCmovznzU64(&x25, x3, arg3[3], x18) 1698 var x26 uint64 1699 sm2p256scalarCmovznzU64(&x26, x3, arg3[4], x20) 1700 var x27 uint64 1701 sm2p256scalarCmovznzU64(&x27, x3, arg4[0], arg5[0]) 1702 var x28 uint64 1703 sm2p256scalarCmovznzU64(&x28, x3, arg4[1], arg5[1]) 1704 var x29 uint64 1705 sm2p256scalarCmovznzU64(&x29, x3, arg4[2], arg5[2]) 1706 var x30 uint64 1707 sm2p256scalarCmovznzU64(&x30, x3, arg4[3], arg5[3]) 1708 var x31 uint64 1709 var x32 uint64 1710 x31, x32 = bits.Add64(x27, x27, uint64(0x0)) 1711 var x33 uint64 1712 var x34 uint64 1713 x33, x34 = bits.Add64(x28, x28, uint64(sm2p256scalarUint1(x32))) 1714 var x35 uint64 1715 var x36 uint64 1716 x35, x36 = bits.Add64(x29, x29, uint64(sm2p256scalarUint1(x34))) 1717 var x37 uint64 1718 var x38 uint64 1719 x37, x38 = bits.Add64(x30, x30, uint64(sm2p256scalarUint1(x36))) 1720 var x39 uint64 1721 var x40 uint64 1722 x39, x40 = bits.Sub64(x31, 0x53bbf40939d54123, uint64(0x0)) 1723 var x41 uint64 1724 var x42 uint64 1725 x41, x42 = bits.Sub64(x33, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x40))) 1726 var x43 uint64 1727 var x44 uint64 1728 x43, x44 = bits.Sub64(x35, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x42))) 1729 var x45 uint64 1730 var x46 uint64 1731 x45, x46 = bits.Sub64(x37, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x44))) 1732 var x48 uint64 1733 _, x48 = bits.Sub64(uint64(sm2p256scalarUint1(x38)), uint64(0x0), uint64(sm2p256scalarUint1(x46))) 1734 x49 := arg4[3] 1735 x50 := arg4[2] 1736 x51 := arg4[1] 1737 x52 := arg4[0] 1738 var x53 uint64 1739 var x54 uint64 1740 x53, x54 = bits.Sub64(uint64(0x0), x52, uint64(0x0)) 1741 var x55 uint64 1742 var x56 uint64 1743 x55, x56 = bits.Sub64(uint64(0x0), x51, uint64(sm2p256scalarUint1(x54))) 1744 var x57 uint64 1745 var x58 uint64 1746 x57, x58 = bits.Sub64(uint64(0x0), x50, uint64(sm2p256scalarUint1(x56))) 1747 var x59 uint64 1748 var x60 uint64 1749 x59, x60 = bits.Sub64(uint64(0x0), x49, uint64(sm2p256scalarUint1(x58))) 1750 var x61 uint64 1751 sm2p256scalarCmovznzU64(&x61, sm2p256scalarUint1(x60), uint64(0x0), 0xffffffffffffffff) 1752 var x62 uint64 1753 var x63 uint64 1754 x62, x63 = bits.Add64(x53, (x61 & 0x53bbf40939d54123), uint64(0x0)) 1755 var x64 uint64 1756 var x65 uint64 1757 x64, x65 = bits.Add64(x55, (x61 & 0x7203df6b21c6052b), uint64(sm2p256scalarUint1(x63))) 1758 var x66 uint64 1759 var x67 uint64 1760 x66, x67 = bits.Add64(x57, x61, uint64(sm2p256scalarUint1(x65))) 1761 var x68 uint64 1762 x68, _ = bits.Add64(x59, (x61 & 0xfffffffeffffffff), uint64(sm2p256scalarUint1(x67))) 1763 var x70 uint64 1764 sm2p256scalarCmovznzU64(&x70, x3, arg5[0], x62) 1765 var x71 uint64 1766 sm2p256scalarCmovznzU64(&x71, x3, arg5[1], x64) 1767 var x72 uint64 1768 sm2p256scalarCmovznzU64(&x72, x3, arg5[2], x66) 1769 var x73 uint64 1770 sm2p256scalarCmovznzU64(&x73, x3, arg5[3], x68) 1771 x74 := (sm2p256scalarUint1(x22) & 0x1) 1772 var x75 uint64 1773 sm2p256scalarCmovznzU64(&x75, x74, uint64(0x0), x7) 1774 var x76 uint64 1775 sm2p256scalarCmovznzU64(&x76, x74, uint64(0x0), x8) 1776 var x77 uint64 1777 sm2p256scalarCmovznzU64(&x77, x74, uint64(0x0), x9) 1778 var x78 uint64 1779 sm2p256scalarCmovznzU64(&x78, x74, uint64(0x0), x10) 1780 var x79 uint64 1781 sm2p256scalarCmovznzU64(&x79, x74, uint64(0x0), x11) 1782 var x80 uint64 1783 var x81 uint64 1784 x80, x81 = bits.Add64(x22, x75, uint64(0x0)) 1785 var x82 uint64 1786 var x83 uint64 1787 x82, x83 = bits.Add64(x23, x76, uint64(sm2p256scalarUint1(x81))) 1788 var x84 uint64 1789 var x85 uint64 1790 x84, x85 = bits.Add64(x24, x77, uint64(sm2p256scalarUint1(x83))) 1791 var x86 uint64 1792 var x87 uint64 1793 x86, x87 = bits.Add64(x25, x78, uint64(sm2p256scalarUint1(x85))) 1794 var x88 uint64 1795 x88, _ = bits.Add64(x26, x79, uint64(sm2p256scalarUint1(x87))) 1796 var x90 uint64 1797 sm2p256scalarCmovznzU64(&x90, x74, uint64(0x0), x27) 1798 var x91 uint64 1799 sm2p256scalarCmovznzU64(&x91, x74, uint64(0x0), x28) 1800 var x92 uint64 1801 sm2p256scalarCmovznzU64(&x92, x74, uint64(0x0), x29) 1802 var x93 uint64 1803 sm2p256scalarCmovznzU64(&x93, x74, uint64(0x0), x30) 1804 var x94 uint64 1805 var x95 uint64 1806 x94, x95 = bits.Add64(x70, x90, uint64(0x0)) 1807 var x96 uint64 1808 var x97 uint64 1809 x96, x97 = bits.Add64(x71, x91, uint64(sm2p256scalarUint1(x95))) 1810 var x98 uint64 1811 var x99 uint64 1812 x98, x99 = bits.Add64(x72, x92, uint64(sm2p256scalarUint1(x97))) 1813 var x100 uint64 1814 var x101 uint64 1815 x100, x101 = bits.Add64(x73, x93, uint64(sm2p256scalarUint1(x99))) 1816 var x102 uint64 1817 var x103 uint64 1818 x102, x103 = bits.Sub64(x94, 0x53bbf40939d54123, uint64(0x0)) 1819 var x104 uint64 1820 var x105 uint64 1821 x104, x105 = bits.Sub64(x96, 0x7203df6b21c6052b, uint64(sm2p256scalarUint1(x103))) 1822 var x106 uint64 1823 var x107 uint64 1824 x106, x107 = bits.Sub64(x98, 0xffffffffffffffff, uint64(sm2p256scalarUint1(x105))) 1825 var x108 uint64 1826 var x109 uint64 1827 x108, x109 = bits.Sub64(x100, 0xfffffffeffffffff, uint64(sm2p256scalarUint1(x107))) 1828 var x111 uint64 1829 _, x111 = bits.Sub64(uint64(sm2p256scalarUint1(x101)), uint64(0x0), uint64(sm2p256scalarUint1(x109))) 1830 var x112 uint64 1831 x112, _ = bits.Add64(x6, uint64(0x1), uint64(0x0)) 1832 x114 := ((x80 >> 1) | ((x82 << 63) & 0xffffffffffffffff)) 1833 x115 := ((x82 >> 1) | ((x84 << 63) & 0xffffffffffffffff)) 1834 x116 := ((x84 >> 1) | ((x86 << 63) & 0xffffffffffffffff)) 1835 x117 := ((x86 >> 1) | ((x88 << 63) & 0xffffffffffffffff)) 1836 x118 := ((x88 & 0x8000000000000000) | (x88 >> 1)) 1837 var x119 uint64 1838 sm2p256scalarCmovznzU64(&x119, sm2p256scalarUint1(x48), x39, x31) 1839 var x120 uint64 1840 sm2p256scalarCmovznzU64(&x120, sm2p256scalarUint1(x48), x41, x33) 1841 var x121 uint64 1842 sm2p256scalarCmovznzU64(&x121, sm2p256scalarUint1(x48), x43, x35) 1843 var x122 uint64 1844 sm2p256scalarCmovznzU64(&x122, sm2p256scalarUint1(x48), x45, x37) 1845 var x123 uint64 1846 sm2p256scalarCmovznzU64(&x123, sm2p256scalarUint1(x111), x102, x94) 1847 var x124 uint64 1848 sm2p256scalarCmovznzU64(&x124, sm2p256scalarUint1(x111), x104, x96) 1849 var x125 uint64 1850 sm2p256scalarCmovznzU64(&x125, sm2p256scalarUint1(x111), x106, x98) 1851 var x126 uint64 1852 sm2p256scalarCmovznzU64(&x126, sm2p256scalarUint1(x111), x108, x100) 1853 *out1 = x112 1854 out2[0] = x7 1855 out2[1] = x8 1856 out2[2] = x9 1857 out2[3] = x10 1858 out2[4] = x11 1859 out3[0] = x114 1860 out3[1] = x115 1861 out3[2] = x116 1862 out3[3] = x117 1863 out3[4] = x118 1864 out4[0] = x119 1865 out4[1] = x120 1866 out4[2] = x121 1867 out4[3] = x122 1868 out5[0] = x123 1869 out5[1] = x124 1870 out5[2] = x125 1871 out5[3] = x126 1872 } 1873 1874 // sm2p256scalarDivstepPrecomp returns the precomputed value for Bernstein-Yang-inversion (in montgomery form). 1875 // 1876 // Postconditions: 1877 // 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⌋) 1878 // 0 ≤ eval out1 < m 1879 // 1880 // Output Bounds: 1881 // out1: [[0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff], [0x0 ~> 0xffffffffffffffff]] 1882 func sm2p256scalarDivstepPrecomp(out1 *[4]uint64) { 1883 out1[0] = 0x1aa32707b351756d 1884 out1[1] = 0xabdd671e2a62fa 1885 out1[2] = 0x49280d7dd4009a81 1886 out1[3] = 0xd730336ee6bb86e8 1887 }