Christoph M. Wintersteiger | 2a9684e | 2018-10-25 12:32:55 +0100 | [diff] [blame] | 1 | /* Copyright (c) INRIA and Microsoft Corporation. All rights reserved. |
| 2 | Licensed under the Apache 2.0 License. */ |
| 3 | |
| 4 | /* This file was generated by KreMLin <https://github.com/FStarLang/kremlin> |
| 5 | * KreMLin invocation: /mnt/e/everest/verify/kremlin/krml -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrcLh -minimal -fc89 -fparentheses -fno-shadow -header /mnt/e/everest/verify/hdrcLh -minimal -I /mnt/e/everest/verify/hacl-star/code/lib/kremlin -I /mnt/e/everest/verify/kremlin/kremlib/compat -I /mnt/e/everest/verify/hacl-star/specs -I /mnt/e/everest/verify/hacl-star/specs/old -I . -ccopt -march=native -verbose -ldopt -flto -tmpdir x25519-c -I ../bignum -bundle Hacl.Curve25519=* -minimal -add-include "kremlib.h" -skip-compilation x25519-c/out.krml -o x25519-c/Hacl_Curve25519.c |
| 6 | * F* version: 059db0c8 |
| 7 | * KreMLin version: 916c37ac |
| 8 | */ |
| 9 | |
| 10 | |
| 11 | #include "Hacl_Curve25519.h" |
| 12 | |
| 13 | extern uint64_t FStar_UInt64_eq_mask(uint64_t x0, uint64_t x1); |
| 14 | |
| 15 | extern uint64_t FStar_UInt64_gte_mask(uint64_t x0, uint64_t x1); |
| 16 | |
| 17 | extern FStar_UInt128_uint128 |
| 18 | FStar_UInt128_add(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1); |
| 19 | |
| 20 | extern FStar_UInt128_uint128 |
| 21 | FStar_UInt128_add_mod(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1); |
| 22 | |
| 23 | extern FStar_UInt128_uint128 |
| 24 | FStar_UInt128_logand(FStar_UInt128_uint128 x0, FStar_UInt128_uint128 x1); |
| 25 | |
| 26 | extern FStar_UInt128_uint128 FStar_UInt128_shift_right(FStar_UInt128_uint128 x0, uint32_t x1); |
| 27 | |
| 28 | extern FStar_UInt128_uint128 FStar_UInt128_uint64_to_uint128(uint64_t x0); |
| 29 | |
| 30 | extern uint64_t FStar_UInt128_uint128_to_uint64(FStar_UInt128_uint128 x0); |
| 31 | |
| 32 | extern FStar_UInt128_uint128 FStar_UInt128_mul_wide(uint64_t x0, uint64_t x1); |
| 33 | |
| 34 | static void Hacl_Bignum_Modulo_carry_top(uint64_t *b) |
| 35 | { |
| 36 | uint64_t b4 = b[4U]; |
| 37 | uint64_t b0 = b[0U]; |
| 38 | uint64_t b4_ = b4 & (uint64_t)0x7ffffffffffffU; |
| 39 | uint64_t b0_ = b0 + (uint64_t)19U * (b4 >> (uint32_t)51U); |
| 40 | b[4U] = b4_; |
| 41 | b[0U] = b0_; |
| 42 | } |
| 43 | |
| 44 | inline static void |
| 45 | Hacl_Bignum_Fproduct_copy_from_wide_(uint64_t *output, FStar_UInt128_uint128 *input) |
| 46 | { |
| 47 | uint32_t i; |
| 48 | for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U) |
| 49 | { |
| 50 | FStar_UInt128_uint128 xi = input[i]; |
| 51 | output[i] = FStar_UInt128_uint128_to_uint64(xi); |
| 52 | } |
| 53 | } |
| 54 | |
| 55 | inline static void |
| 56 | Hacl_Bignum_Fproduct_sum_scalar_multiplication_( |
| 57 | FStar_UInt128_uint128 *output, |
| 58 | uint64_t *input, |
| 59 | uint64_t s |
| 60 | ) |
| 61 | { |
| 62 | uint32_t i; |
| 63 | for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U) |
| 64 | { |
| 65 | FStar_UInt128_uint128 xi = output[i]; |
| 66 | uint64_t yi = input[i]; |
| 67 | output[i] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s)); |
| 68 | } |
| 69 | } |
| 70 | |
| 71 | inline static void Hacl_Bignum_Fproduct_carry_wide_(FStar_UInt128_uint128 *tmp) |
| 72 | { |
| 73 | uint32_t i; |
| 74 | for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (uint32_t)1U) |
| 75 | { |
| 76 | uint32_t ctr = i; |
| 77 | FStar_UInt128_uint128 tctr = tmp[ctr]; |
| 78 | FStar_UInt128_uint128 tctrp1 = tmp[ctr + (uint32_t)1U]; |
| 79 | uint64_t r0 = FStar_UInt128_uint128_to_uint64(tctr) & (uint64_t)0x7ffffffffffffU; |
| 80 | FStar_UInt128_uint128 c = FStar_UInt128_shift_right(tctr, (uint32_t)51U); |
| 81 | tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0); |
| 82 | tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c); |
| 83 | } |
| 84 | } |
| 85 | |
| 86 | inline static void Hacl_Bignum_Fmul_shift_reduce(uint64_t *output) |
| 87 | { |
| 88 | uint64_t tmp = output[4U]; |
| 89 | uint64_t b0; |
| 90 | { |
| 91 | uint32_t i; |
| 92 | for (i = (uint32_t)0U; i < (uint32_t)4U; i = i + (uint32_t)1U) |
| 93 | { |
| 94 | uint32_t ctr = (uint32_t)5U - i - (uint32_t)1U; |
| 95 | uint64_t z = output[ctr - (uint32_t)1U]; |
| 96 | output[ctr] = z; |
| 97 | } |
| 98 | } |
| 99 | output[0U] = tmp; |
| 100 | b0 = output[0U]; |
| 101 | output[0U] = (uint64_t)19U * b0; |
| 102 | } |
| 103 | |
| 104 | static void |
| 105 | Hacl_Bignum_Fmul_mul_shift_reduce_( |
| 106 | FStar_UInt128_uint128 *output, |
| 107 | uint64_t *input, |
| 108 | uint64_t *input2 |
| 109 | ) |
| 110 | { |
| 111 | uint32_t i; |
| 112 | uint64_t input2i; |
| 113 | { |
| 114 | uint32_t i0; |
| 115 | for (i0 = (uint32_t)0U; i0 < (uint32_t)4U; i0 = i0 + (uint32_t)1U) |
| 116 | { |
| 117 | uint64_t input2i0 = input2[i0]; |
| 118 | Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i0); |
| 119 | Hacl_Bignum_Fmul_shift_reduce(input); |
| 120 | } |
| 121 | } |
| 122 | i = (uint32_t)4U; |
| 123 | input2i = input2[i]; |
| 124 | Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i); |
| 125 | } |
| 126 | |
| 127 | inline static void Hacl_Bignum_Fmul_fmul(uint64_t *output, uint64_t *input, uint64_t *input2) |
| 128 | { |
| 129 | uint64_t tmp[5U] = { 0U }; |
| 130 | memcpy(tmp, input, (uint32_t)5U * sizeof input[0U]); |
| 131 | KRML_CHECK_SIZE(sizeof (FStar_UInt128_uint128), (uint32_t)5U); |
| 132 | { |
| 133 | FStar_UInt128_uint128 t[5U]; |
| 134 | { |
| 135 | uint32_t _i; |
| 136 | for (_i = 0U; _i < (uint32_t)5U; ++_i) |
| 137 | t[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U); |
| 138 | } |
| 139 | { |
| 140 | FStar_UInt128_uint128 b4; |
| 141 | FStar_UInt128_uint128 b0; |
| 142 | FStar_UInt128_uint128 b4_; |
| 143 | FStar_UInt128_uint128 b0_; |
| 144 | uint64_t i0; |
| 145 | uint64_t i1; |
| 146 | uint64_t i0_; |
| 147 | uint64_t i1_; |
| 148 | Hacl_Bignum_Fmul_mul_shift_reduce_(t, tmp, input2); |
| 149 | Hacl_Bignum_Fproduct_carry_wide_(t); |
| 150 | b4 = t[4U]; |
| 151 | b0 = t[0U]; |
| 152 | b4_ = FStar_UInt128_logand(b4, FStar_UInt128_uint64_to_uint128((uint64_t)0x7ffffffffffffU)); |
| 153 | b0_ = |
| 154 | FStar_UInt128_add(b0, |
| 155 | FStar_UInt128_mul_wide((uint64_t)19U, |
| 156 | FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b4, (uint32_t)51U)))); |
| 157 | t[4U] = b4_; |
| 158 | t[0U] = b0_; |
| 159 | Hacl_Bignum_Fproduct_copy_from_wide_(output, t); |
| 160 | i0 = output[0U]; |
| 161 | i1 = output[1U]; |
| 162 | i0_ = i0 & (uint64_t)0x7ffffffffffffU; |
| 163 | i1_ = i1 + (i0 >> (uint32_t)51U); |
| 164 | output[0U] = i0_; |
| 165 | output[1U] = i1_; |
| 166 | } |
| 167 | } |
| 168 | } |
| 169 | |
| 170 | inline static void Hacl_Bignum_Fsquare_fsquare__(FStar_UInt128_uint128 *tmp, uint64_t *output) |
| 171 | { |
| 172 | uint64_t r0 = output[0U]; |
| 173 | uint64_t r1 = output[1U]; |
| 174 | uint64_t r2 = output[2U]; |
| 175 | uint64_t r3 = output[3U]; |
| 176 | uint64_t r4 = output[4U]; |
| 177 | uint64_t d0 = r0 * (uint64_t)2U; |
| 178 | uint64_t d1 = r1 * (uint64_t)2U; |
| 179 | uint64_t d2 = r2 * (uint64_t)2U * (uint64_t)19U; |
| 180 | uint64_t d419 = r4 * (uint64_t)19U; |
| 181 | uint64_t d4 = d419 * (uint64_t)2U; |
| 182 | FStar_UInt128_uint128 |
| 183 | s0 = |
| 184 | FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(r0, r0), |
| 185 | FStar_UInt128_mul_wide(d4, r1)), |
| 186 | FStar_UInt128_mul_wide(d2, r3)); |
| 187 | FStar_UInt128_uint128 |
| 188 | s1 = |
| 189 | FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r1), |
| 190 | FStar_UInt128_mul_wide(d4, r2)), |
| 191 | FStar_UInt128_mul_wide(r3 * (uint64_t)19U, r3)); |
| 192 | FStar_UInt128_uint128 |
| 193 | s2 = |
| 194 | FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r2), |
| 195 | FStar_UInt128_mul_wide(r1, r1)), |
| 196 | FStar_UInt128_mul_wide(d4, r3)); |
| 197 | FStar_UInt128_uint128 |
| 198 | s3 = |
| 199 | FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r3), |
| 200 | FStar_UInt128_mul_wide(d1, r2)), |
| 201 | FStar_UInt128_mul_wide(r4, d419)); |
| 202 | FStar_UInt128_uint128 |
| 203 | s4 = |
| 204 | FStar_UInt128_add(FStar_UInt128_add(FStar_UInt128_mul_wide(d0, r4), |
| 205 | FStar_UInt128_mul_wide(d1, r3)), |
| 206 | FStar_UInt128_mul_wide(r2, r2)); |
| 207 | tmp[0U] = s0; |
| 208 | tmp[1U] = s1; |
| 209 | tmp[2U] = s2; |
| 210 | tmp[3U] = s3; |
| 211 | tmp[4U] = s4; |
| 212 | } |
| 213 | |
| 214 | inline static void Hacl_Bignum_Fsquare_fsquare_(FStar_UInt128_uint128 *tmp, uint64_t *output) |
| 215 | { |
| 216 | FStar_UInt128_uint128 b4; |
| 217 | FStar_UInt128_uint128 b0; |
| 218 | FStar_UInt128_uint128 b4_; |
| 219 | FStar_UInt128_uint128 b0_; |
| 220 | uint64_t i0; |
| 221 | uint64_t i1; |
| 222 | uint64_t i0_; |
| 223 | uint64_t i1_; |
| 224 | Hacl_Bignum_Fsquare_fsquare__(tmp, output); |
| 225 | Hacl_Bignum_Fproduct_carry_wide_(tmp); |
| 226 | b4 = tmp[4U]; |
| 227 | b0 = tmp[0U]; |
| 228 | b4_ = FStar_UInt128_logand(b4, FStar_UInt128_uint64_to_uint128((uint64_t)0x7ffffffffffffU)); |
| 229 | b0_ = |
| 230 | FStar_UInt128_add(b0, |
| 231 | FStar_UInt128_mul_wide((uint64_t)19U, |
| 232 | FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b4, (uint32_t)51U)))); |
| 233 | tmp[4U] = b4_; |
| 234 | tmp[0U] = b0_; |
| 235 | Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp); |
| 236 | i0 = output[0U]; |
| 237 | i1 = output[1U]; |
| 238 | i0_ = i0 & (uint64_t)0x7ffffffffffffU; |
| 239 | i1_ = i1 + (i0 >> (uint32_t)51U); |
| 240 | output[0U] = i0_; |
| 241 | output[1U] = i1_; |
| 242 | } |
| 243 | |
| 244 | static void |
| 245 | Hacl_Bignum_Fsquare_fsquare_times_( |
| 246 | uint64_t *input, |
| 247 | FStar_UInt128_uint128 *tmp, |
| 248 | uint32_t count1 |
| 249 | ) |
| 250 | { |
| 251 | uint32_t i; |
| 252 | Hacl_Bignum_Fsquare_fsquare_(tmp, input); |
| 253 | for (i = (uint32_t)1U; i < count1; i = i + (uint32_t)1U) |
| 254 | Hacl_Bignum_Fsquare_fsquare_(tmp, input); |
| 255 | } |
| 256 | |
| 257 | inline static void |
| 258 | Hacl_Bignum_Fsquare_fsquare_times(uint64_t *output, uint64_t *input, uint32_t count1) |
| 259 | { |
| 260 | KRML_CHECK_SIZE(sizeof (FStar_UInt128_uint128), (uint32_t)5U); |
| 261 | { |
| 262 | FStar_UInt128_uint128 t[5U]; |
| 263 | { |
| 264 | uint32_t _i; |
| 265 | for (_i = 0U; _i < (uint32_t)5U; ++_i) |
| 266 | t[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U); |
| 267 | } |
| 268 | memcpy(output, input, (uint32_t)5U * sizeof input[0U]); |
| 269 | Hacl_Bignum_Fsquare_fsquare_times_(output, t, count1); |
| 270 | } |
| 271 | } |
| 272 | |
| 273 | inline static void Hacl_Bignum_Fsquare_fsquare_times_inplace(uint64_t *output, uint32_t count1) |
| 274 | { |
| 275 | KRML_CHECK_SIZE(sizeof (FStar_UInt128_uint128), (uint32_t)5U); |
| 276 | { |
| 277 | FStar_UInt128_uint128 t[5U]; |
| 278 | { |
| 279 | uint32_t _i; |
| 280 | for (_i = 0U; _i < (uint32_t)5U; ++_i) |
| 281 | t[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U); |
| 282 | } |
| 283 | Hacl_Bignum_Fsquare_fsquare_times_(output, t, count1); |
| 284 | } |
| 285 | } |
| 286 | |
| 287 | inline static void Hacl_Bignum_Crecip_crecip(uint64_t *out, uint64_t *z) |
| 288 | { |
| 289 | uint64_t buf[20U] = { 0U }; |
| 290 | uint64_t *a0 = buf; |
| 291 | uint64_t *t00 = buf + (uint32_t)5U; |
| 292 | uint64_t *b0 = buf + (uint32_t)10U; |
| 293 | uint64_t *t01; |
| 294 | uint64_t *b1; |
| 295 | uint64_t *c0; |
| 296 | uint64_t *a; |
| 297 | uint64_t *t0; |
| 298 | uint64_t *b; |
| 299 | uint64_t *c; |
| 300 | Hacl_Bignum_Fsquare_fsquare_times(a0, z, (uint32_t)1U); |
| 301 | Hacl_Bignum_Fsquare_fsquare_times(t00, a0, (uint32_t)2U); |
| 302 | Hacl_Bignum_Fmul_fmul(b0, t00, z); |
| 303 | Hacl_Bignum_Fmul_fmul(a0, b0, a0); |
| 304 | Hacl_Bignum_Fsquare_fsquare_times(t00, a0, (uint32_t)1U); |
| 305 | Hacl_Bignum_Fmul_fmul(b0, t00, b0); |
| 306 | Hacl_Bignum_Fsquare_fsquare_times(t00, b0, (uint32_t)5U); |
| 307 | t01 = buf + (uint32_t)5U; |
| 308 | b1 = buf + (uint32_t)10U; |
| 309 | c0 = buf + (uint32_t)15U; |
| 310 | Hacl_Bignum_Fmul_fmul(b1, t01, b1); |
| 311 | Hacl_Bignum_Fsquare_fsquare_times(t01, b1, (uint32_t)10U); |
| 312 | Hacl_Bignum_Fmul_fmul(c0, t01, b1); |
| 313 | Hacl_Bignum_Fsquare_fsquare_times(t01, c0, (uint32_t)20U); |
| 314 | Hacl_Bignum_Fmul_fmul(t01, t01, c0); |
| 315 | Hacl_Bignum_Fsquare_fsquare_times_inplace(t01, (uint32_t)10U); |
| 316 | Hacl_Bignum_Fmul_fmul(b1, t01, b1); |
| 317 | Hacl_Bignum_Fsquare_fsquare_times(t01, b1, (uint32_t)50U); |
| 318 | a = buf; |
| 319 | t0 = buf + (uint32_t)5U; |
| 320 | b = buf + (uint32_t)10U; |
| 321 | c = buf + (uint32_t)15U; |
| 322 | Hacl_Bignum_Fmul_fmul(c, t0, b); |
| 323 | Hacl_Bignum_Fsquare_fsquare_times(t0, c, (uint32_t)100U); |
| 324 | Hacl_Bignum_Fmul_fmul(t0, t0, c); |
| 325 | Hacl_Bignum_Fsquare_fsquare_times_inplace(t0, (uint32_t)50U); |
| 326 | Hacl_Bignum_Fmul_fmul(t0, t0, b); |
| 327 | Hacl_Bignum_Fsquare_fsquare_times_inplace(t0, (uint32_t)5U); |
| 328 | Hacl_Bignum_Fmul_fmul(out, t0, a); |
| 329 | } |
| 330 | |
| 331 | inline static void Hacl_Bignum_fsum(uint64_t *a, uint64_t *b) |
| 332 | { |
| 333 | uint32_t i; |
| 334 | for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U) |
| 335 | { |
| 336 | uint64_t xi = a[i]; |
| 337 | uint64_t yi = b[i]; |
| 338 | a[i] = xi + yi; |
| 339 | } |
| 340 | } |
| 341 | |
| 342 | inline static void Hacl_Bignum_fdifference(uint64_t *a, uint64_t *b) |
| 343 | { |
| 344 | uint64_t tmp[5U] = { 0U }; |
| 345 | uint64_t b0; |
| 346 | uint64_t b1; |
| 347 | uint64_t b2; |
| 348 | uint64_t b3; |
| 349 | uint64_t b4; |
| 350 | memcpy(tmp, b, (uint32_t)5U * sizeof b[0U]); |
| 351 | b0 = tmp[0U]; |
| 352 | b1 = tmp[1U]; |
| 353 | b2 = tmp[2U]; |
| 354 | b3 = tmp[3U]; |
| 355 | b4 = tmp[4U]; |
| 356 | tmp[0U] = b0 + (uint64_t)0x3fffffffffff68U; |
| 357 | tmp[1U] = b1 + (uint64_t)0x3ffffffffffff8U; |
| 358 | tmp[2U] = b2 + (uint64_t)0x3ffffffffffff8U; |
| 359 | tmp[3U] = b3 + (uint64_t)0x3ffffffffffff8U; |
| 360 | tmp[4U] = b4 + (uint64_t)0x3ffffffffffff8U; |
| 361 | { |
| 362 | uint32_t i; |
| 363 | for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U) |
| 364 | { |
| 365 | uint64_t xi = a[i]; |
| 366 | uint64_t yi = tmp[i]; |
| 367 | a[i] = yi - xi; |
| 368 | } |
| 369 | } |
| 370 | } |
| 371 | |
| 372 | inline static void Hacl_Bignum_fscalar(uint64_t *output, uint64_t *b, uint64_t s) |
| 373 | { |
| 374 | KRML_CHECK_SIZE(sizeof (FStar_UInt128_uint128), (uint32_t)5U); |
| 375 | { |
| 376 | FStar_UInt128_uint128 tmp[5U]; |
| 377 | { |
| 378 | uint32_t _i; |
| 379 | for (_i = 0U; _i < (uint32_t)5U; ++_i) |
| 380 | tmp[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U); |
| 381 | } |
| 382 | { |
| 383 | FStar_UInt128_uint128 b4; |
| 384 | FStar_UInt128_uint128 b0; |
| 385 | FStar_UInt128_uint128 b4_; |
| 386 | FStar_UInt128_uint128 b0_; |
| 387 | { |
| 388 | uint32_t i; |
| 389 | for (i = (uint32_t)0U; i < (uint32_t)5U; i = i + (uint32_t)1U) |
| 390 | { |
| 391 | uint64_t xi = b[i]; |
| 392 | tmp[i] = FStar_UInt128_mul_wide(xi, s); |
| 393 | } |
| 394 | } |
| 395 | Hacl_Bignum_Fproduct_carry_wide_(tmp); |
| 396 | b4 = tmp[4U]; |
| 397 | b0 = tmp[0U]; |
| 398 | b4_ = FStar_UInt128_logand(b4, FStar_UInt128_uint64_to_uint128((uint64_t)0x7ffffffffffffU)); |
| 399 | b0_ = |
| 400 | FStar_UInt128_add(b0, |
| 401 | FStar_UInt128_mul_wide((uint64_t)19U, |
| 402 | FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b4, (uint32_t)51U)))); |
| 403 | tmp[4U] = b4_; |
| 404 | tmp[0U] = b0_; |
| 405 | Hacl_Bignum_Fproduct_copy_from_wide_(output, tmp); |
| 406 | } |
| 407 | } |
| 408 | } |
| 409 | |
| 410 | inline static void Hacl_Bignum_fmul(uint64_t *output, uint64_t *a, uint64_t *b) |
| 411 | { |
| 412 | Hacl_Bignum_Fmul_fmul(output, a, b); |
| 413 | } |
| 414 | |
| 415 | inline static void Hacl_Bignum_crecip(uint64_t *output, uint64_t *input) |
| 416 | { |
| 417 | Hacl_Bignum_Crecip_crecip(output, input); |
| 418 | } |
| 419 | |
| 420 | static void |
| 421 | Hacl_EC_Point_swap_conditional_step(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr) |
| 422 | { |
| 423 | uint32_t i = ctr - (uint32_t)1U; |
| 424 | uint64_t ai = a[i]; |
| 425 | uint64_t bi = b[i]; |
| 426 | uint64_t x = swap1 & (ai ^ bi); |
| 427 | uint64_t ai1 = ai ^ x; |
| 428 | uint64_t bi1 = bi ^ x; |
| 429 | a[i] = ai1; |
| 430 | b[i] = bi1; |
| 431 | } |
| 432 | |
| 433 | static void |
| 434 | Hacl_EC_Point_swap_conditional_(uint64_t *a, uint64_t *b, uint64_t swap1, uint32_t ctr) |
| 435 | { |
| 436 | if (!(ctr == (uint32_t)0U)) |
| 437 | { |
| 438 | uint32_t i; |
| 439 | Hacl_EC_Point_swap_conditional_step(a, b, swap1, ctr); |
| 440 | i = ctr - (uint32_t)1U; |
| 441 | Hacl_EC_Point_swap_conditional_(a, b, swap1, i); |
| 442 | } |
| 443 | } |
| 444 | |
| 445 | static void Hacl_EC_Point_swap_conditional(uint64_t *a, uint64_t *b, uint64_t iswap) |
| 446 | { |
| 447 | uint64_t swap1 = (uint64_t)0U - iswap; |
| 448 | Hacl_EC_Point_swap_conditional_(a, b, swap1, (uint32_t)5U); |
| 449 | Hacl_EC_Point_swap_conditional_(a + (uint32_t)5U, b + (uint32_t)5U, swap1, (uint32_t)5U); |
| 450 | } |
| 451 | |
| 452 | static void Hacl_EC_Point_copy(uint64_t *output, uint64_t *input) |
| 453 | { |
| 454 | memcpy(output, input, (uint32_t)5U * sizeof input[0U]); |
| 455 | memcpy(output + (uint32_t)5U, |
| 456 | input + (uint32_t)5U, |
| 457 | (uint32_t)5U * sizeof (input + (uint32_t)5U)[0U]); |
| 458 | } |
| 459 | |
| 460 | static void Hacl_EC_Format_fexpand(uint64_t *output, uint8_t *input) |
| 461 | { |
| 462 | uint64_t i0 = load64_le(input); |
| 463 | uint8_t *x00 = input + (uint32_t)6U; |
| 464 | uint64_t i1 = load64_le(x00); |
| 465 | uint8_t *x01 = input + (uint32_t)12U; |
| 466 | uint64_t i2 = load64_le(x01); |
| 467 | uint8_t *x02 = input + (uint32_t)19U; |
| 468 | uint64_t i3 = load64_le(x02); |
| 469 | uint8_t *x0 = input + (uint32_t)24U; |
| 470 | uint64_t i4 = load64_le(x0); |
| 471 | uint64_t output0 = i0 & (uint64_t)0x7ffffffffffffU; |
| 472 | uint64_t output1 = i1 >> (uint32_t)3U & (uint64_t)0x7ffffffffffffU; |
| 473 | uint64_t output2 = i2 >> (uint32_t)6U & (uint64_t)0x7ffffffffffffU; |
| 474 | uint64_t output3 = i3 >> (uint32_t)1U & (uint64_t)0x7ffffffffffffU; |
| 475 | uint64_t output4 = i4 >> (uint32_t)12U & (uint64_t)0x7ffffffffffffU; |
| 476 | output[0U] = output0; |
| 477 | output[1U] = output1; |
| 478 | output[2U] = output2; |
| 479 | output[3U] = output3; |
| 480 | output[4U] = output4; |
| 481 | } |
| 482 | |
| 483 | static void Hacl_EC_Format_fcontract_first_carry_pass(uint64_t *input) |
| 484 | { |
| 485 | uint64_t t0 = input[0U]; |
| 486 | uint64_t t1 = input[1U]; |
| 487 | uint64_t t2 = input[2U]; |
| 488 | uint64_t t3 = input[3U]; |
| 489 | uint64_t t4 = input[4U]; |
| 490 | uint64_t t1_ = t1 + (t0 >> (uint32_t)51U); |
| 491 | uint64_t t0_ = t0 & (uint64_t)0x7ffffffffffffU; |
| 492 | uint64_t t2_ = t2 + (t1_ >> (uint32_t)51U); |
| 493 | uint64_t t1__ = t1_ & (uint64_t)0x7ffffffffffffU; |
| 494 | uint64_t t3_ = t3 + (t2_ >> (uint32_t)51U); |
| 495 | uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU; |
| 496 | uint64_t t4_ = t4 + (t3_ >> (uint32_t)51U); |
| 497 | uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU; |
| 498 | input[0U] = t0_; |
| 499 | input[1U] = t1__; |
| 500 | input[2U] = t2__; |
| 501 | input[3U] = t3__; |
| 502 | input[4U] = t4_; |
| 503 | } |
| 504 | |
| 505 | static void Hacl_EC_Format_fcontract_first_carry_full(uint64_t *input) |
| 506 | { |
| 507 | Hacl_EC_Format_fcontract_first_carry_pass(input); |
| 508 | Hacl_Bignum_Modulo_carry_top(input); |
| 509 | } |
| 510 | |
| 511 | static void Hacl_EC_Format_fcontract_second_carry_pass(uint64_t *input) |
| 512 | { |
| 513 | uint64_t t0 = input[0U]; |
| 514 | uint64_t t1 = input[1U]; |
| 515 | uint64_t t2 = input[2U]; |
| 516 | uint64_t t3 = input[3U]; |
| 517 | uint64_t t4 = input[4U]; |
| 518 | uint64_t t1_ = t1 + (t0 >> (uint32_t)51U); |
| 519 | uint64_t t0_ = t0 & (uint64_t)0x7ffffffffffffU; |
| 520 | uint64_t t2_ = t2 + (t1_ >> (uint32_t)51U); |
| 521 | uint64_t t1__ = t1_ & (uint64_t)0x7ffffffffffffU; |
| 522 | uint64_t t3_ = t3 + (t2_ >> (uint32_t)51U); |
| 523 | uint64_t t2__ = t2_ & (uint64_t)0x7ffffffffffffU; |
| 524 | uint64_t t4_ = t4 + (t3_ >> (uint32_t)51U); |
| 525 | uint64_t t3__ = t3_ & (uint64_t)0x7ffffffffffffU; |
| 526 | input[0U] = t0_; |
| 527 | input[1U] = t1__; |
| 528 | input[2U] = t2__; |
| 529 | input[3U] = t3__; |
| 530 | input[4U] = t4_; |
| 531 | } |
| 532 | |
| 533 | static void Hacl_EC_Format_fcontract_second_carry_full(uint64_t *input) |
| 534 | { |
| 535 | uint64_t i0; |
| 536 | uint64_t i1; |
| 537 | uint64_t i0_; |
| 538 | uint64_t i1_; |
| 539 | Hacl_EC_Format_fcontract_second_carry_pass(input); |
| 540 | Hacl_Bignum_Modulo_carry_top(input); |
| 541 | i0 = input[0U]; |
| 542 | i1 = input[1U]; |
| 543 | i0_ = i0 & (uint64_t)0x7ffffffffffffU; |
| 544 | i1_ = i1 + (i0 >> (uint32_t)51U); |
| 545 | input[0U] = i0_; |
| 546 | input[1U] = i1_; |
| 547 | } |
| 548 | |
| 549 | static void Hacl_EC_Format_fcontract_trim(uint64_t *input) |
| 550 | { |
| 551 | uint64_t a0 = input[0U]; |
| 552 | uint64_t a1 = input[1U]; |
| 553 | uint64_t a2 = input[2U]; |
| 554 | uint64_t a3 = input[3U]; |
| 555 | uint64_t a4 = input[4U]; |
| 556 | uint64_t mask0 = FStar_UInt64_gte_mask(a0, (uint64_t)0x7ffffffffffedU); |
| 557 | uint64_t mask1 = FStar_UInt64_eq_mask(a1, (uint64_t)0x7ffffffffffffU); |
| 558 | uint64_t mask2 = FStar_UInt64_eq_mask(a2, (uint64_t)0x7ffffffffffffU); |
| 559 | uint64_t mask3 = FStar_UInt64_eq_mask(a3, (uint64_t)0x7ffffffffffffU); |
| 560 | uint64_t mask4 = FStar_UInt64_eq_mask(a4, (uint64_t)0x7ffffffffffffU); |
| 561 | uint64_t mask = (((mask0 & mask1) & mask2) & mask3) & mask4; |
| 562 | uint64_t a0_ = a0 - ((uint64_t)0x7ffffffffffedU & mask); |
| 563 | uint64_t a1_ = a1 - ((uint64_t)0x7ffffffffffffU & mask); |
| 564 | uint64_t a2_ = a2 - ((uint64_t)0x7ffffffffffffU & mask); |
| 565 | uint64_t a3_ = a3 - ((uint64_t)0x7ffffffffffffU & mask); |
| 566 | uint64_t a4_ = a4 - ((uint64_t)0x7ffffffffffffU & mask); |
| 567 | input[0U] = a0_; |
| 568 | input[1U] = a1_; |
| 569 | input[2U] = a2_; |
| 570 | input[3U] = a3_; |
| 571 | input[4U] = a4_; |
| 572 | } |
| 573 | |
| 574 | static void Hacl_EC_Format_fcontract_store(uint8_t *output, uint64_t *input) |
| 575 | { |
| 576 | uint64_t t0 = input[0U]; |
| 577 | uint64_t t1 = input[1U]; |
| 578 | uint64_t t2 = input[2U]; |
| 579 | uint64_t t3 = input[3U]; |
| 580 | uint64_t t4 = input[4U]; |
| 581 | uint64_t o0 = t1 << (uint32_t)51U | t0; |
| 582 | uint64_t o1 = t2 << (uint32_t)38U | t1 >> (uint32_t)13U; |
| 583 | uint64_t o2 = t3 << (uint32_t)25U | t2 >> (uint32_t)26U; |
| 584 | uint64_t o3 = t4 << (uint32_t)12U | t3 >> (uint32_t)39U; |
| 585 | uint8_t *b0 = output; |
| 586 | uint8_t *b1 = output + (uint32_t)8U; |
| 587 | uint8_t *b2 = output + (uint32_t)16U; |
| 588 | uint8_t *b3 = output + (uint32_t)24U; |
| 589 | store64_le(b0, o0); |
| 590 | store64_le(b1, o1); |
| 591 | store64_le(b2, o2); |
| 592 | store64_le(b3, o3); |
| 593 | } |
| 594 | |
| 595 | static void Hacl_EC_Format_fcontract(uint8_t *output, uint64_t *input) |
| 596 | { |
| 597 | Hacl_EC_Format_fcontract_first_carry_full(input); |
| 598 | Hacl_EC_Format_fcontract_second_carry_full(input); |
| 599 | Hacl_EC_Format_fcontract_trim(input); |
| 600 | Hacl_EC_Format_fcontract_store(output, input); |
| 601 | } |
| 602 | |
| 603 | static void Hacl_EC_Format_scalar_of_point(uint8_t *scalar, uint64_t *point) |
| 604 | { |
| 605 | uint64_t *x = point; |
| 606 | uint64_t *z = point + (uint32_t)5U; |
| 607 | uint64_t buf[10U] = { 0U }; |
| 608 | uint64_t *zmone = buf; |
| 609 | uint64_t *sc = buf + (uint32_t)5U; |
| 610 | Hacl_Bignum_crecip(zmone, z); |
| 611 | Hacl_Bignum_fmul(sc, x, zmone); |
| 612 | Hacl_EC_Format_fcontract(scalar, sc); |
| 613 | } |
| 614 | |
| 615 | static void |
| 616 | Hacl_EC_AddAndDouble_fmonty( |
| 617 | uint64_t *pp, |
| 618 | uint64_t *ppq, |
| 619 | uint64_t *p, |
| 620 | uint64_t *pq, |
| 621 | uint64_t *qmqp |
| 622 | ) |
| 623 | { |
| 624 | uint64_t *qx = qmqp; |
| 625 | uint64_t *x2 = pp; |
| 626 | uint64_t *z2 = pp + (uint32_t)5U; |
| 627 | uint64_t *x3 = ppq; |
| 628 | uint64_t *z3 = ppq + (uint32_t)5U; |
| 629 | uint64_t *x = p; |
| 630 | uint64_t *z = p + (uint32_t)5U; |
| 631 | uint64_t *xprime = pq; |
| 632 | uint64_t *zprime = pq + (uint32_t)5U; |
| 633 | uint64_t buf[40U] = { 0U }; |
| 634 | uint64_t *origx = buf; |
| 635 | uint64_t *origxprime0 = buf + (uint32_t)5U; |
| 636 | uint64_t *xxprime0 = buf + (uint32_t)25U; |
| 637 | uint64_t *zzprime0 = buf + (uint32_t)30U; |
| 638 | uint64_t *origxprime; |
| 639 | uint64_t *xx0; |
| 640 | uint64_t *zz0; |
| 641 | uint64_t *xxprime; |
| 642 | uint64_t *zzprime; |
| 643 | uint64_t *zzzprime; |
| 644 | uint64_t *zzz; |
| 645 | uint64_t *xx; |
| 646 | uint64_t *zz; |
| 647 | uint64_t scalar; |
| 648 | memcpy(origx, x, (uint32_t)5U * sizeof x[0U]); |
| 649 | Hacl_Bignum_fsum(x, z); |
| 650 | Hacl_Bignum_fdifference(z, origx); |
| 651 | memcpy(origxprime0, xprime, (uint32_t)5U * sizeof xprime[0U]); |
| 652 | Hacl_Bignum_fsum(xprime, zprime); |
| 653 | Hacl_Bignum_fdifference(zprime, origxprime0); |
| 654 | Hacl_Bignum_fmul(xxprime0, xprime, z); |
| 655 | Hacl_Bignum_fmul(zzprime0, x, zprime); |
| 656 | origxprime = buf + (uint32_t)5U; |
| 657 | xx0 = buf + (uint32_t)15U; |
| 658 | zz0 = buf + (uint32_t)20U; |
| 659 | xxprime = buf + (uint32_t)25U; |
| 660 | zzprime = buf + (uint32_t)30U; |
| 661 | zzzprime = buf + (uint32_t)35U; |
| 662 | memcpy(origxprime, xxprime, (uint32_t)5U * sizeof xxprime[0U]); |
| 663 | Hacl_Bignum_fsum(xxprime, zzprime); |
| 664 | Hacl_Bignum_fdifference(zzprime, origxprime); |
| 665 | Hacl_Bignum_Fsquare_fsquare_times(x3, xxprime, (uint32_t)1U); |
| 666 | Hacl_Bignum_Fsquare_fsquare_times(zzzprime, zzprime, (uint32_t)1U); |
| 667 | Hacl_Bignum_fmul(z3, zzzprime, qx); |
| 668 | Hacl_Bignum_Fsquare_fsquare_times(xx0, x, (uint32_t)1U); |
| 669 | Hacl_Bignum_Fsquare_fsquare_times(zz0, z, (uint32_t)1U); |
| 670 | zzz = buf + (uint32_t)10U; |
| 671 | xx = buf + (uint32_t)15U; |
| 672 | zz = buf + (uint32_t)20U; |
| 673 | Hacl_Bignum_fmul(x2, xx, zz); |
| 674 | Hacl_Bignum_fdifference(zz, xx); |
| 675 | scalar = (uint64_t)121665U; |
| 676 | Hacl_Bignum_fscalar(zzz, zz, scalar); |
| 677 | Hacl_Bignum_fsum(zzz, xx); |
| 678 | Hacl_Bignum_fmul(z2, zzz, zz); |
| 679 | } |
| 680 | |
| 681 | static void |
| 682 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step( |
| 683 | uint64_t *nq, |
| 684 | uint64_t *nqpq, |
| 685 | uint64_t *nq2, |
| 686 | uint64_t *nqpq2, |
| 687 | uint64_t *q, |
| 688 | uint8_t byt |
| 689 | ) |
| 690 | { |
| 691 | uint64_t bit0 = (uint64_t)(byt >> (uint32_t)7U); |
| 692 | uint64_t bit; |
| 693 | Hacl_EC_Point_swap_conditional(nq, nqpq, bit0); |
| 694 | Hacl_EC_AddAndDouble_fmonty(nq2, nqpq2, nq, nqpq, q); |
| 695 | bit = (uint64_t)(byt >> (uint32_t)7U); |
| 696 | Hacl_EC_Point_swap_conditional(nq2, nqpq2, bit); |
| 697 | } |
| 698 | |
| 699 | static void |
| 700 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step( |
| 701 | uint64_t *nq, |
| 702 | uint64_t *nqpq, |
| 703 | uint64_t *nq2, |
| 704 | uint64_t *nqpq2, |
| 705 | uint64_t *q, |
| 706 | uint8_t byt |
| 707 | ) |
| 708 | { |
| 709 | uint8_t byt1; |
| 710 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq, nqpq, nq2, nqpq2, q, byt); |
| 711 | byt1 = byt << (uint32_t)1U; |
| 712 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop_step(nq2, nqpq2, nq, nqpq, q, byt1); |
| 713 | } |
| 714 | |
| 715 | static void |
| 716 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop( |
| 717 | uint64_t *nq, |
| 718 | uint64_t *nqpq, |
| 719 | uint64_t *nq2, |
| 720 | uint64_t *nqpq2, |
| 721 | uint64_t *q, |
| 722 | uint8_t byt, |
| 723 | uint32_t i |
| 724 | ) |
| 725 | { |
| 726 | if (!(i == (uint32_t)0U)) |
| 727 | { |
| 728 | uint32_t i_ = i - (uint32_t)1U; |
| 729 | uint8_t byt_; |
| 730 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop_double_step(nq, nqpq, nq2, nqpq2, q, byt); |
| 731 | byt_ = byt << (uint32_t)2U; |
| 732 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byt_, i_); |
| 733 | } |
| 734 | } |
| 735 | |
| 736 | static void |
| 737 | Hacl_EC_Ladder_BigLoop_cmult_big_loop( |
| 738 | uint8_t *n1, |
| 739 | uint64_t *nq, |
| 740 | uint64_t *nqpq, |
| 741 | uint64_t *nq2, |
| 742 | uint64_t *nqpq2, |
| 743 | uint64_t *q, |
| 744 | uint32_t i |
| 745 | ) |
| 746 | { |
| 747 | if (!(i == (uint32_t)0U)) |
| 748 | { |
| 749 | uint32_t i1 = i - (uint32_t)1U; |
| 750 | uint8_t byte = n1[i1]; |
| 751 | Hacl_EC_Ladder_SmallLoop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byte, (uint32_t)4U); |
| 752 | Hacl_EC_Ladder_BigLoop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, i1); |
| 753 | } |
| 754 | } |
| 755 | |
| 756 | static void Hacl_EC_Ladder_cmult(uint64_t *result, uint8_t *n1, uint64_t *q) |
| 757 | { |
| 758 | uint64_t point_buf[40U] = { 0U }; |
| 759 | uint64_t *nq = point_buf; |
| 760 | uint64_t *nqpq = point_buf + (uint32_t)10U; |
| 761 | uint64_t *nq2 = point_buf + (uint32_t)20U; |
| 762 | uint64_t *nqpq2 = point_buf + (uint32_t)30U; |
| 763 | Hacl_EC_Point_copy(nqpq, q); |
| 764 | nq[0U] = (uint64_t)1U; |
| 765 | Hacl_EC_Ladder_BigLoop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, (uint32_t)32U); |
| 766 | Hacl_EC_Point_copy(result, nq); |
| 767 | } |
| 768 | |
| 769 | void Hacl_Curve25519_crypto_scalarmult(uint8_t *mypublic, uint8_t *secret, uint8_t *basepoint) |
| 770 | { |
| 771 | uint64_t buf0[10U] = { 0U }; |
| 772 | uint64_t *x0 = buf0; |
| 773 | uint64_t *z = buf0 + (uint32_t)5U; |
| 774 | uint64_t *q; |
| 775 | Hacl_EC_Format_fexpand(x0, basepoint); |
| 776 | z[0U] = (uint64_t)1U; |
| 777 | q = buf0; |
| 778 | { |
| 779 | uint8_t e[32U] = { 0U }; |
| 780 | uint8_t e0; |
| 781 | uint8_t e31; |
| 782 | uint8_t e01; |
| 783 | uint8_t e311; |
| 784 | uint8_t e312; |
| 785 | uint8_t *scalar; |
| 786 | memcpy(e, secret, (uint32_t)32U * sizeof secret[0U]); |
| 787 | e0 = e[0U]; |
| 788 | e31 = e[31U]; |
| 789 | e01 = e0 & (uint8_t)248U; |
| 790 | e311 = e31 & (uint8_t)127U; |
| 791 | e312 = e311 | (uint8_t)64U; |
| 792 | e[0U] = e01; |
| 793 | e[31U] = e312; |
| 794 | scalar = e; |
| 795 | { |
| 796 | uint64_t buf[15U] = { 0U }; |
| 797 | uint64_t *nq = buf; |
| 798 | uint64_t *x = nq; |
| 799 | x[0U] = (uint64_t)1U; |
| 800 | Hacl_EC_Ladder_cmult(nq, scalar, q); |
| 801 | Hacl_EC_Format_scalar_of_point(mypublic, nq); |
| 802 | } |
| 803 | } |
| 804 | } |
| 805 | |