1 // SPDX-License-Identifier: GPL-2.0 OR MIT 2 /* 3 * Copyright (C) 2020 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. 4 * Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation 5 */ 6 7 #include <crypto/curve25519.h> 8 #include <crypto/internal/kpp.h> 9 10 #include <linux/types.h> 11 #include <linux/jump_label.h> 12 #include <linux/kernel.h> 13 #include <linux/module.h> 14 #include <linux/scatterlist.h> 15 16 #include <asm/cpufeature.h> 17 #include <asm/processor.h> 18 eq_mask(u64 a,u64 b)19 static __always_inline u64 eq_mask(u64 a, u64 b) 20 { 21 u64 x = a ^ b; 22 u64 minus_x = ~x + (u64)1U; 23 u64 x_or_minus_x = x | minus_x; 24 u64 xnx = x_or_minus_x >> (u32)63U; 25 return xnx - (u64)1U; 26 } 27 gte_mask(u64 a,u64 b)28 static __always_inline u64 gte_mask(u64 a, u64 b) 29 { 30 u64 x = a; 31 u64 y = b; 32 u64 x_xor_y = x ^ y; 33 u64 x_sub_y = x - y; 34 u64 x_sub_y_xor_y = x_sub_y ^ y; 35 u64 q = x_xor_y | x_sub_y_xor_y; 36 u64 x_xor_q = x ^ q; 37 u64 x_xor_q_ = x_xor_q >> (u32)63U; 38 return x_xor_q_ - (u64)1U; 39 } 40 41 /* Computes the addition of four-element f1 with value in f2 42 * and returns the carry (if any) */ add_scalar(u64 * out,const u64 * f1,u64 f2)43 static inline u64 add_scalar(u64 *out, const u64 *f1, u64 f2) 44 { 45 u64 carry_r; 46 47 asm volatile( 48 /* Clear registers to propagate the carry bit */ 49 " xor %%r8d, %%r8d;" 50 " xor %%r9d, %%r9d;" 51 " xor %%r10d, %%r10d;" 52 " xor %%r11d, %%r11d;" 53 " xor %k1, %k1;" 54 55 /* Begin addition chain */ 56 " addq 0(%3), %0;" 57 " movq %0, 0(%2);" 58 " adcxq 8(%3), %%r8;" 59 " movq %%r8, 8(%2);" 60 " adcxq 16(%3), %%r9;" 61 " movq %%r9, 16(%2);" 62 " adcxq 24(%3), %%r10;" 63 " movq %%r10, 24(%2);" 64 65 /* Return the carry bit in a register */ 66 " adcx %%r11, %1;" 67 : "+&r"(f2), "=&r"(carry_r) 68 : "r"(out), "r"(f1) 69 : "%r8", "%r9", "%r10", "%r11", "memory", "cc"); 70 71 return carry_r; 72 } 73 74 /* Computes the field addition of two field elements */ fadd(u64 * out,const u64 * f1,const u64 * f2)75 static inline void fadd(u64 *out, const u64 *f1, const u64 *f2) 76 { 77 asm volatile( 78 /* Compute the raw addition of f1 + f2 */ 79 " movq 0(%0), %%r8;" 80 " addq 0(%2), %%r8;" 81 " movq 8(%0), %%r9;" 82 " adcxq 8(%2), %%r9;" 83 " movq 16(%0), %%r10;" 84 " adcxq 16(%2), %%r10;" 85 " movq 24(%0), %%r11;" 86 " adcxq 24(%2), %%r11;" 87 88 /* Wrap the result back into the field */ 89 90 /* Step 1: Compute carry*38 */ 91 " mov $0, %%rax;" 92 " mov $38, %0;" 93 " cmovc %0, %%rax;" 94 95 /* Step 2: Add carry*38 to the original sum */ 96 " xor %%ecx, %%ecx;" 97 " add %%rax, %%r8;" 98 " adcx %%rcx, %%r9;" 99 " movq %%r9, 8(%1);" 100 " adcx %%rcx, %%r10;" 101 " movq %%r10, 16(%1);" 102 " adcx %%rcx, %%r11;" 103 " movq %%r11, 24(%1);" 104 105 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 106 " mov $0, %%rax;" 107 " cmovc %0, %%rax;" 108 " add %%rax, %%r8;" 109 " movq %%r8, 0(%1);" 110 : "+&r"(f2) 111 : "r"(out), "r"(f1) 112 : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc"); 113 } 114 115 /* Computes the field subtraction of two field elements */ fsub(u64 * out,const u64 * f1,const u64 * f2)116 static inline void fsub(u64 *out, const u64 *f1, const u64 *f2) 117 { 118 asm volatile( 119 /* Compute the raw subtraction of f1-f2 */ 120 " movq 0(%1), %%r8;" 121 " subq 0(%2), %%r8;" 122 " movq 8(%1), %%r9;" 123 " sbbq 8(%2), %%r9;" 124 " movq 16(%1), %%r10;" 125 " sbbq 16(%2), %%r10;" 126 " movq 24(%1), %%r11;" 127 " sbbq 24(%2), %%r11;" 128 129 /* Wrap the result back into the field */ 130 131 /* Step 1: Compute carry*38 */ 132 " mov $0, %%rax;" 133 " mov $38, %%rcx;" 134 " cmovc %%rcx, %%rax;" 135 136 /* Step 2: Subtract carry*38 from the original difference */ 137 " sub %%rax, %%r8;" 138 " sbb $0, %%r9;" 139 " sbb $0, %%r10;" 140 " sbb $0, %%r11;" 141 142 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 143 " mov $0, %%rax;" 144 " cmovc %%rcx, %%rax;" 145 " sub %%rax, %%r8;" 146 147 /* Store the result */ 148 " movq %%r8, 0(%0);" 149 " movq %%r9, 8(%0);" 150 " movq %%r10, 16(%0);" 151 " movq %%r11, 24(%0);" 152 : 153 : "r"(out), "r"(f1), "r"(f2) 154 : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc"); 155 } 156 157 /* Computes a field multiplication: out <- f1 * f2 158 * Uses the 8-element buffer tmp for intermediate results */ fmul(u64 * out,const u64 * f1,const u64 * f2,u64 * tmp)159 static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp) 160 { 161 asm volatile( 162 163 /* Compute the raw multiplication: tmp <- src1 * src2 */ 164 165 /* Compute src1[0] * src2 */ 166 " movq 0(%0), %%rdx;" 167 " mulxq 0(%1), %%r8, %%r9;" 168 " xor %%r10d, %%r10d;" 169 " movq %%r8, 0(%2);" 170 " mulxq 8(%1), %%r10, %%r11;" 171 " adox %%r9, %%r10;" 172 " movq %%r10, 8(%2);" 173 " mulxq 16(%1), %%rbx, %%r13;" 174 " adox %%r11, %%rbx;" 175 " mulxq 24(%1), %%r14, %%rdx;" 176 " adox %%r13, %%r14;" 177 " mov $0, %%rax;" 178 " adox %%rdx, %%rax;" 179 180 /* Compute src1[1] * src2 */ 181 " movq 8(%0), %%rdx;" 182 " mulxq 0(%1), %%r8, %%r9;" 183 " xor %%r10d, %%r10d;" 184 " adcxq 8(%2), %%r8;" 185 " movq %%r8, 8(%2);" 186 " mulxq 8(%1), %%r10, %%r11;" 187 " adox %%r9, %%r10;" 188 " adcx %%rbx, %%r10;" 189 " movq %%r10, 16(%2);" 190 " mulxq 16(%1), %%rbx, %%r13;" 191 " adox %%r11, %%rbx;" 192 " adcx %%r14, %%rbx;" 193 " mov $0, %%r8;" 194 " mulxq 24(%1), %%r14, %%rdx;" 195 " adox %%r13, %%r14;" 196 " adcx %%rax, %%r14;" 197 " mov $0, %%rax;" 198 " adox %%rdx, %%rax;" 199 " adcx %%r8, %%rax;" 200 201 /* Compute src1[2] * src2 */ 202 " movq 16(%0), %%rdx;" 203 " mulxq 0(%1), %%r8, %%r9;" 204 " xor %%r10d, %%r10d;" 205 " adcxq 16(%2), %%r8;" 206 " movq %%r8, 16(%2);" 207 " mulxq 8(%1), %%r10, %%r11;" 208 " adox %%r9, %%r10;" 209 " adcx %%rbx, %%r10;" 210 " movq %%r10, 24(%2);" 211 " mulxq 16(%1), %%rbx, %%r13;" 212 " adox %%r11, %%rbx;" 213 " adcx %%r14, %%rbx;" 214 " mov $0, %%r8;" 215 " mulxq 24(%1), %%r14, %%rdx;" 216 " adox %%r13, %%r14;" 217 " adcx %%rax, %%r14;" 218 " mov $0, %%rax;" 219 " adox %%rdx, %%rax;" 220 " adcx %%r8, %%rax;" 221 222 /* Compute src1[3] * src2 */ 223 " movq 24(%0), %%rdx;" 224 " mulxq 0(%1), %%r8, %%r9;" 225 " xor %%r10d, %%r10d;" 226 " adcxq 24(%2), %%r8;" 227 " movq %%r8, 24(%2);" 228 " mulxq 8(%1), %%r10, %%r11;" 229 " adox %%r9, %%r10;" 230 " adcx %%rbx, %%r10;" 231 " movq %%r10, 32(%2);" 232 " mulxq 16(%1), %%rbx, %%r13;" 233 " adox %%r11, %%rbx;" 234 " adcx %%r14, %%rbx;" 235 " movq %%rbx, 40(%2);" 236 " mov $0, %%r8;" 237 " mulxq 24(%1), %%r14, %%rdx;" 238 " adox %%r13, %%r14;" 239 " adcx %%rax, %%r14;" 240 " movq %%r14, 48(%2);" 241 " mov $0, %%rax;" 242 " adox %%rdx, %%rax;" 243 " adcx %%r8, %%rax;" 244 " movq %%rax, 56(%2);" 245 246 /* Line up pointers */ 247 " mov %2, %0;" 248 " mov %3, %2;" 249 250 /* Wrap the result back into the field */ 251 252 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 253 " mov $38, %%rdx;" 254 " mulxq 32(%0), %%r8, %%r13;" 255 " xor %k1, %k1;" 256 " adoxq 0(%0), %%r8;" 257 " mulxq 40(%0), %%r9, %%rbx;" 258 " adcx %%r13, %%r9;" 259 " adoxq 8(%0), %%r9;" 260 " mulxq 48(%0), %%r10, %%r13;" 261 " adcx %%rbx, %%r10;" 262 " adoxq 16(%0), %%r10;" 263 " mulxq 56(%0), %%r11, %%rax;" 264 " adcx %%r13, %%r11;" 265 " adoxq 24(%0), %%r11;" 266 " adcx %1, %%rax;" 267 " adox %1, %%rax;" 268 " imul %%rdx, %%rax;" 269 270 /* Step 2: Fold the carry back into dst */ 271 " add %%rax, %%r8;" 272 " adcx %1, %%r9;" 273 " movq %%r9, 8(%2);" 274 " adcx %1, %%r10;" 275 " movq %%r10, 16(%2);" 276 " adcx %1, %%r11;" 277 " movq %%r11, 24(%2);" 278 279 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 280 " mov $0, %%rax;" 281 " cmovc %%rdx, %%rax;" 282 " add %%rax, %%r8;" 283 " movq %%r8, 0(%2);" 284 : "+&r"(f1), "+&r"(f2), "+&r"(tmp) 285 : "r"(out) 286 : "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13", 287 "%r14", "memory", "cc"); 288 } 289 290 /* Computes two field multiplications: 291 * out[0] <- f1[0] * f2[0] 292 * out[1] <- f1[1] * f2[1] 293 * Uses the 16-element buffer tmp for intermediate results: */ fmul2(u64 * out,const u64 * f1,const u64 * f2,u64 * tmp)294 static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp) 295 { 296 asm volatile( 297 298 /* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */ 299 300 /* Compute src1[0] * src2 */ 301 " movq 0(%0), %%rdx;" 302 " mulxq 0(%1), %%r8, %%r9;" 303 " xor %%r10d, %%r10d;" 304 " movq %%r8, 0(%2);" 305 " mulxq 8(%1), %%r10, %%r11;" 306 " adox %%r9, %%r10;" 307 " movq %%r10, 8(%2);" 308 " mulxq 16(%1), %%rbx, %%r13;" 309 " adox %%r11, %%rbx;" 310 " mulxq 24(%1), %%r14, %%rdx;" 311 " adox %%r13, %%r14;" 312 " mov $0, %%rax;" 313 " adox %%rdx, %%rax;" 314 315 /* Compute src1[1] * src2 */ 316 " movq 8(%0), %%rdx;" 317 " mulxq 0(%1), %%r8, %%r9;" 318 " xor %%r10d, %%r10d;" 319 " adcxq 8(%2), %%r8;" 320 " movq %%r8, 8(%2);" 321 " mulxq 8(%1), %%r10, %%r11;" 322 " adox %%r9, %%r10;" 323 " adcx %%rbx, %%r10;" 324 " movq %%r10, 16(%2);" 325 " mulxq 16(%1), %%rbx, %%r13;" 326 " adox %%r11, %%rbx;" 327 " adcx %%r14, %%rbx;" 328 " mov $0, %%r8;" 329 " mulxq 24(%1), %%r14, %%rdx;" 330 " adox %%r13, %%r14;" 331 " adcx %%rax, %%r14;" 332 " mov $0, %%rax;" 333 " adox %%rdx, %%rax;" 334 " adcx %%r8, %%rax;" 335 336 /* Compute src1[2] * src2 */ 337 " movq 16(%0), %%rdx;" 338 " mulxq 0(%1), %%r8, %%r9;" 339 " xor %%r10d, %%r10d;" 340 " adcxq 16(%2), %%r8;" 341 " movq %%r8, 16(%2);" 342 " mulxq 8(%1), %%r10, %%r11;" 343 " adox %%r9, %%r10;" 344 " adcx %%rbx, %%r10;" 345 " movq %%r10, 24(%2);" 346 " mulxq 16(%1), %%rbx, %%r13;" 347 " adox %%r11, %%rbx;" 348 " adcx %%r14, %%rbx;" 349 " mov $0, %%r8;" 350 " mulxq 24(%1), %%r14, %%rdx;" 351 " adox %%r13, %%r14;" 352 " adcx %%rax, %%r14;" 353 " mov $0, %%rax;" 354 " adox %%rdx, %%rax;" 355 " adcx %%r8, %%rax;" 356 357 /* Compute src1[3] * src2 */ 358 " movq 24(%0), %%rdx;" 359 " mulxq 0(%1), %%r8, %%r9;" 360 " xor %%r10d, %%r10d;" 361 " adcxq 24(%2), %%r8;" 362 " movq %%r8, 24(%2);" 363 " mulxq 8(%1), %%r10, %%r11;" 364 " adox %%r9, %%r10;" 365 " adcx %%rbx, %%r10;" 366 " movq %%r10, 32(%2);" 367 " mulxq 16(%1), %%rbx, %%r13;" 368 " adox %%r11, %%rbx;" 369 " adcx %%r14, %%rbx;" 370 " movq %%rbx, 40(%2);" 371 " mov $0, %%r8;" 372 " mulxq 24(%1), %%r14, %%rdx;" 373 " adox %%r13, %%r14;" 374 " adcx %%rax, %%r14;" 375 " movq %%r14, 48(%2);" 376 " mov $0, %%rax;" 377 " adox %%rdx, %%rax;" 378 " adcx %%r8, %%rax;" 379 " movq %%rax, 56(%2);" 380 381 /* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */ 382 383 /* Compute src1[0] * src2 */ 384 " movq 32(%0), %%rdx;" 385 " mulxq 32(%1), %%r8, %%r9;" 386 " xor %%r10d, %%r10d;" 387 " movq %%r8, 64(%2);" 388 " mulxq 40(%1), %%r10, %%r11;" 389 " adox %%r9, %%r10;" 390 " movq %%r10, 72(%2);" 391 " mulxq 48(%1), %%rbx, %%r13;" 392 " adox %%r11, %%rbx;" 393 " mulxq 56(%1), %%r14, %%rdx;" 394 " adox %%r13, %%r14;" 395 " mov $0, %%rax;" 396 " adox %%rdx, %%rax;" 397 398 /* Compute src1[1] * src2 */ 399 " movq 40(%0), %%rdx;" 400 " mulxq 32(%1), %%r8, %%r9;" 401 " xor %%r10d, %%r10d;" 402 " adcxq 72(%2), %%r8;" 403 " movq %%r8, 72(%2);" 404 " mulxq 40(%1), %%r10, %%r11;" 405 " adox %%r9, %%r10;" 406 " adcx %%rbx, %%r10;" 407 " movq %%r10, 80(%2);" 408 " mulxq 48(%1), %%rbx, %%r13;" 409 " adox %%r11, %%rbx;" 410 " adcx %%r14, %%rbx;" 411 " mov $0, %%r8;" 412 " mulxq 56(%1), %%r14, %%rdx;" 413 " adox %%r13, %%r14;" 414 " adcx %%rax, %%r14;" 415 " mov $0, %%rax;" 416 " adox %%rdx, %%rax;" 417 " adcx %%r8, %%rax;" 418 419 /* Compute src1[2] * src2 */ 420 " movq 48(%0), %%rdx;" 421 " mulxq 32(%1), %%r8, %%r9;" 422 " xor %%r10d, %%r10d;" 423 " adcxq 80(%2), %%r8;" 424 " movq %%r8, 80(%2);" 425 " mulxq 40(%1), %%r10, %%r11;" 426 " adox %%r9, %%r10;" 427 " adcx %%rbx, %%r10;" 428 " movq %%r10, 88(%2);" 429 " mulxq 48(%1), %%rbx, %%r13;" 430 " adox %%r11, %%rbx;" 431 " adcx %%r14, %%rbx;" 432 " mov $0, %%r8;" 433 " mulxq 56(%1), %%r14, %%rdx;" 434 " adox %%r13, %%r14;" 435 " adcx %%rax, %%r14;" 436 " mov $0, %%rax;" 437 " adox %%rdx, %%rax;" 438 " adcx %%r8, %%rax;" 439 440 /* Compute src1[3] * src2 */ 441 " movq 56(%0), %%rdx;" 442 " mulxq 32(%1), %%r8, %%r9;" 443 " xor %%r10d, %%r10d;" 444 " adcxq 88(%2), %%r8;" 445 " movq %%r8, 88(%2);" 446 " mulxq 40(%1), %%r10, %%r11;" 447 " adox %%r9, %%r10;" 448 " adcx %%rbx, %%r10;" 449 " movq %%r10, 96(%2);" 450 " mulxq 48(%1), %%rbx, %%r13;" 451 " adox %%r11, %%rbx;" 452 " adcx %%r14, %%rbx;" 453 " movq %%rbx, 104(%2);" 454 " mov $0, %%r8;" 455 " mulxq 56(%1), %%r14, %%rdx;" 456 " adox %%r13, %%r14;" 457 " adcx %%rax, %%r14;" 458 " movq %%r14, 112(%2);" 459 " mov $0, %%rax;" 460 " adox %%rdx, %%rax;" 461 " adcx %%r8, %%rax;" 462 " movq %%rax, 120(%2);" 463 464 /* Line up pointers */ 465 " mov %2, %0;" 466 " mov %3, %2;" 467 468 /* Wrap the results back into the field */ 469 470 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 471 " mov $38, %%rdx;" 472 " mulxq 32(%0), %%r8, %%r13;" 473 " xor %k1, %k1;" 474 " adoxq 0(%0), %%r8;" 475 " mulxq 40(%0), %%r9, %%rbx;" 476 " adcx %%r13, %%r9;" 477 " adoxq 8(%0), %%r9;" 478 " mulxq 48(%0), %%r10, %%r13;" 479 " adcx %%rbx, %%r10;" 480 " adoxq 16(%0), %%r10;" 481 " mulxq 56(%0), %%r11, %%rax;" 482 " adcx %%r13, %%r11;" 483 " adoxq 24(%0), %%r11;" 484 " adcx %1, %%rax;" 485 " adox %1, %%rax;" 486 " imul %%rdx, %%rax;" 487 488 /* Step 2: Fold the carry back into dst */ 489 " add %%rax, %%r8;" 490 " adcx %1, %%r9;" 491 " movq %%r9, 8(%2);" 492 " adcx %1, %%r10;" 493 " movq %%r10, 16(%2);" 494 " adcx %1, %%r11;" 495 " movq %%r11, 24(%2);" 496 497 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 498 " mov $0, %%rax;" 499 " cmovc %%rdx, %%rax;" 500 " add %%rax, %%r8;" 501 " movq %%r8, 0(%2);" 502 503 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 504 " mov $38, %%rdx;" 505 " mulxq 96(%0), %%r8, %%r13;" 506 " xor %k1, %k1;" 507 " adoxq 64(%0), %%r8;" 508 " mulxq 104(%0), %%r9, %%rbx;" 509 " adcx %%r13, %%r9;" 510 " adoxq 72(%0), %%r9;" 511 " mulxq 112(%0), %%r10, %%r13;" 512 " adcx %%rbx, %%r10;" 513 " adoxq 80(%0), %%r10;" 514 " mulxq 120(%0), %%r11, %%rax;" 515 " adcx %%r13, %%r11;" 516 " adoxq 88(%0), %%r11;" 517 " adcx %1, %%rax;" 518 " adox %1, %%rax;" 519 " imul %%rdx, %%rax;" 520 521 /* Step 2: Fold the carry back into dst */ 522 " add %%rax, %%r8;" 523 " adcx %1, %%r9;" 524 " movq %%r9, 40(%2);" 525 " adcx %1, %%r10;" 526 " movq %%r10, 48(%2);" 527 " adcx %1, %%r11;" 528 " movq %%r11, 56(%2);" 529 530 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 531 " mov $0, %%rax;" 532 " cmovc %%rdx, %%rax;" 533 " add %%rax, %%r8;" 534 " movq %%r8, 32(%2);" 535 : "+&r"(f1), "+&r"(f2), "+&r"(tmp) 536 : "r"(out) 537 : "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13", 538 "%r14", "memory", "cc"); 539 } 540 541 /* Computes the field multiplication of four-element f1 with value in f2 542 * Requires f2 to be smaller than 2^17 */ fmul_scalar(u64 * out,const u64 * f1,u64 f2)543 static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2) 544 { 545 register u64 f2_r asm("rdx") = f2; 546 547 asm volatile( 548 /* Compute the raw multiplication of f1*f2 */ 549 " mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */ 550 " mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */ 551 " add %%rcx, %%r9;" 552 " mov $0, %%rcx;" 553 " mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */ 554 " adcx %%rbx, %%r10;" 555 " mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */ 556 " adcx %%r13, %%r11;" 557 " adcx %%rcx, %%rax;" 558 559 /* Wrap the result back into the field */ 560 561 /* Step 1: Compute carry*38 */ 562 " mov $38, %%rdx;" 563 " imul %%rdx, %%rax;" 564 565 /* Step 2: Fold the carry back into dst */ 566 " add %%rax, %%r8;" 567 " adcx %%rcx, %%r9;" 568 " movq %%r9, 8(%1);" 569 " adcx %%rcx, %%r10;" 570 " movq %%r10, 16(%1);" 571 " adcx %%rcx, %%r11;" 572 " movq %%r11, 24(%1);" 573 574 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 575 " mov $0, %%rax;" 576 " cmovc %%rdx, %%rax;" 577 " add %%rax, %%r8;" 578 " movq %%r8, 0(%1);" 579 : "+&r"(f2_r) 580 : "r"(out), "r"(f1) 581 : "%rax", "%rbx", "%rcx", "%r8", "%r9", "%r10", "%r11", "%r13", 582 "memory", "cc"); 583 } 584 585 /* Computes p1 <- bit ? p2 : p1 in constant time */ cswap2(u64 bit,const u64 * p1,const u64 * p2)586 static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2) 587 { 588 asm volatile( 589 /* Transfer bit into CF flag */ 590 " add $18446744073709551615, %0;" 591 592 /* cswap p1[0], p2[0] */ 593 " movq 0(%1), %%r8;" 594 " movq 0(%2), %%r9;" 595 " mov %%r8, %%r10;" 596 " cmovc %%r9, %%r8;" 597 " cmovc %%r10, %%r9;" 598 " movq %%r8, 0(%1);" 599 " movq %%r9, 0(%2);" 600 601 /* cswap p1[1], p2[1] */ 602 " movq 8(%1), %%r8;" 603 " movq 8(%2), %%r9;" 604 " mov %%r8, %%r10;" 605 " cmovc %%r9, %%r8;" 606 " cmovc %%r10, %%r9;" 607 " movq %%r8, 8(%1);" 608 " movq %%r9, 8(%2);" 609 610 /* cswap p1[2], p2[2] */ 611 " movq 16(%1), %%r8;" 612 " movq 16(%2), %%r9;" 613 " mov %%r8, %%r10;" 614 " cmovc %%r9, %%r8;" 615 " cmovc %%r10, %%r9;" 616 " movq %%r8, 16(%1);" 617 " movq %%r9, 16(%2);" 618 619 /* cswap p1[3], p2[3] */ 620 " movq 24(%1), %%r8;" 621 " movq 24(%2), %%r9;" 622 " mov %%r8, %%r10;" 623 " cmovc %%r9, %%r8;" 624 " cmovc %%r10, %%r9;" 625 " movq %%r8, 24(%1);" 626 " movq %%r9, 24(%2);" 627 628 /* cswap p1[4], p2[4] */ 629 " movq 32(%1), %%r8;" 630 " movq 32(%2), %%r9;" 631 " mov %%r8, %%r10;" 632 " cmovc %%r9, %%r8;" 633 " cmovc %%r10, %%r9;" 634 " movq %%r8, 32(%1);" 635 " movq %%r9, 32(%2);" 636 637 /* cswap p1[5], p2[5] */ 638 " movq 40(%1), %%r8;" 639 " movq 40(%2), %%r9;" 640 " mov %%r8, %%r10;" 641 " cmovc %%r9, %%r8;" 642 " cmovc %%r10, %%r9;" 643 " movq %%r8, 40(%1);" 644 " movq %%r9, 40(%2);" 645 646 /* cswap p1[6], p2[6] */ 647 " movq 48(%1), %%r8;" 648 " movq 48(%2), %%r9;" 649 " mov %%r8, %%r10;" 650 " cmovc %%r9, %%r8;" 651 " cmovc %%r10, %%r9;" 652 " movq %%r8, 48(%1);" 653 " movq %%r9, 48(%2);" 654 655 /* cswap p1[7], p2[7] */ 656 " movq 56(%1), %%r8;" 657 " movq 56(%2), %%r9;" 658 " mov %%r8, %%r10;" 659 " cmovc %%r9, %%r8;" 660 " cmovc %%r10, %%r9;" 661 " movq %%r8, 56(%1);" 662 " movq %%r9, 56(%2);" 663 : "+&r"(bit) 664 : "r"(p1), "r"(p2) 665 : "%r8", "%r9", "%r10", "memory", "cc"); 666 } 667 668 /* Computes the square of a field element: out <- f * f 669 * Uses the 8-element buffer tmp for intermediate results */ fsqr(u64 * out,const u64 * f,u64 * tmp)670 static inline void fsqr(u64 *out, const u64 *f, u64 *tmp) 671 { 672 asm volatile( 673 /* Compute the raw multiplication: tmp <- f * f */ 674 675 /* Step 1: Compute all partial products */ 676 " movq 0(%0), %%rdx;" /* f[0] */ 677 " mulxq 8(%0), %%r8, %%r14;" 678 " xor %%r15d, %%r15d;" /* f[1]*f[0] */ 679 " mulxq 16(%0), %%r9, %%r10;" 680 " adcx %%r14, %%r9;" /* f[2]*f[0] */ 681 " mulxq 24(%0), %%rax, %%rcx;" 682 " adcx %%rax, %%r10;" /* f[3]*f[0] */ 683 " movq 24(%0), %%rdx;" /* f[3] */ 684 " mulxq 8(%0), %%r11, %%rbx;" 685 " adcx %%rcx, %%r11;" /* f[1]*f[3] */ 686 " mulxq 16(%0), %%rax, %%r13;" 687 " adcx %%rax, %%rbx;" /* f[2]*f[3] */ 688 " movq 8(%0), %%rdx;" 689 " adcx %%r15, %%r13;" /* f1 */ 690 " mulxq 16(%0), %%rax, %%rcx;" 691 " mov $0, %%r14;" /* f[2]*f[1] */ 692 693 /* Step 2: Compute two parallel carry chains */ 694 " xor %%r15d, %%r15d;" 695 " adox %%rax, %%r10;" 696 " adcx %%r8, %%r8;" 697 " adox %%rcx, %%r11;" 698 " adcx %%r9, %%r9;" 699 " adox %%r15, %%rbx;" 700 " adcx %%r10, %%r10;" 701 " adox %%r15, %%r13;" 702 " adcx %%r11, %%r11;" 703 " adox %%r15, %%r14;" 704 " adcx %%rbx, %%rbx;" 705 " adcx %%r13, %%r13;" 706 " adcx %%r14, %%r14;" 707 708 /* Step 3: Compute intermediate squares */ 709 " movq 0(%0), %%rdx;" 710 " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */ 711 " movq %%rax, 0(%1);" 712 " add %%rcx, %%r8;" 713 " movq %%r8, 8(%1);" 714 " movq 8(%0), %%rdx;" 715 " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */ 716 " adcx %%rax, %%r9;" 717 " movq %%r9, 16(%1);" 718 " adcx %%rcx, %%r10;" 719 " movq %%r10, 24(%1);" 720 " movq 16(%0), %%rdx;" 721 " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */ 722 " adcx %%rax, %%r11;" 723 " movq %%r11, 32(%1);" 724 " adcx %%rcx, %%rbx;" 725 " movq %%rbx, 40(%1);" 726 " movq 24(%0), %%rdx;" 727 " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */ 728 " adcx %%rax, %%r13;" 729 " movq %%r13, 48(%1);" 730 " adcx %%rcx, %%r14;" 731 " movq %%r14, 56(%1);" 732 733 /* Line up pointers */ 734 " mov %1, %0;" 735 " mov %2, %1;" 736 737 /* Wrap the result back into the field */ 738 739 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 740 " mov $38, %%rdx;" 741 " mulxq 32(%0), %%r8, %%r13;" 742 " xor %%ecx, %%ecx;" 743 " adoxq 0(%0), %%r8;" 744 " mulxq 40(%0), %%r9, %%rbx;" 745 " adcx %%r13, %%r9;" 746 " adoxq 8(%0), %%r9;" 747 " mulxq 48(%0), %%r10, %%r13;" 748 " adcx %%rbx, %%r10;" 749 " adoxq 16(%0), %%r10;" 750 " mulxq 56(%0), %%r11, %%rax;" 751 " adcx %%r13, %%r11;" 752 " adoxq 24(%0), %%r11;" 753 " adcx %%rcx, %%rax;" 754 " adox %%rcx, %%rax;" 755 " imul %%rdx, %%rax;" 756 757 /* Step 2: Fold the carry back into dst */ 758 " add %%rax, %%r8;" 759 " adcx %%rcx, %%r9;" 760 " movq %%r9, 8(%1);" 761 " adcx %%rcx, %%r10;" 762 " movq %%r10, 16(%1);" 763 " adcx %%rcx, %%r11;" 764 " movq %%r11, 24(%1);" 765 766 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 767 " mov $0, %%rax;" 768 " cmovc %%rdx, %%rax;" 769 " add %%rax, %%r8;" 770 " movq %%r8, 0(%1);" 771 : "+&r"(f), "+&r"(tmp) 772 : "r"(out) 773 : "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", 774 "%r13", "%r14", "%r15", "memory", "cc"); 775 } 776 777 /* Computes two field squarings: 778 * out[0] <- f[0] * f[0] 779 * out[1] <- f[1] * f[1] 780 * Uses the 16-element buffer tmp for intermediate results */ fsqr2(u64 * out,const u64 * f,u64 * tmp)781 static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp) 782 { 783 asm volatile( 784 /* Step 1: Compute all partial products */ 785 " movq 0(%0), %%rdx;" /* f[0] */ 786 " mulxq 8(%0), %%r8, %%r14;" 787 " xor %%r15d, %%r15d;" /* f[1]*f[0] */ 788 " mulxq 16(%0), %%r9, %%r10;" 789 " adcx %%r14, %%r9;" /* f[2]*f[0] */ 790 " mulxq 24(%0), %%rax, %%rcx;" 791 " adcx %%rax, %%r10;" /* f[3]*f[0] */ 792 " movq 24(%0), %%rdx;" /* f[3] */ 793 " mulxq 8(%0), %%r11, %%rbx;" 794 " adcx %%rcx, %%r11;" /* f[1]*f[3] */ 795 " mulxq 16(%0), %%rax, %%r13;" 796 " adcx %%rax, %%rbx;" /* f[2]*f[3] */ 797 " movq 8(%0), %%rdx;" 798 " adcx %%r15, %%r13;" /* f1 */ 799 " mulxq 16(%0), %%rax, %%rcx;" 800 " mov $0, %%r14;" /* f[2]*f[1] */ 801 802 /* Step 2: Compute two parallel carry chains */ 803 " xor %%r15d, %%r15d;" 804 " adox %%rax, %%r10;" 805 " adcx %%r8, %%r8;" 806 " adox %%rcx, %%r11;" 807 " adcx %%r9, %%r9;" 808 " adox %%r15, %%rbx;" 809 " adcx %%r10, %%r10;" 810 " adox %%r15, %%r13;" 811 " adcx %%r11, %%r11;" 812 " adox %%r15, %%r14;" 813 " adcx %%rbx, %%rbx;" 814 " adcx %%r13, %%r13;" 815 " adcx %%r14, %%r14;" 816 817 /* Step 3: Compute intermediate squares */ 818 " movq 0(%0), %%rdx;" 819 " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */ 820 " movq %%rax, 0(%1);" 821 " add %%rcx, %%r8;" 822 " movq %%r8, 8(%1);" 823 " movq 8(%0), %%rdx;" 824 " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */ 825 " adcx %%rax, %%r9;" 826 " movq %%r9, 16(%1);" 827 " adcx %%rcx, %%r10;" 828 " movq %%r10, 24(%1);" 829 " movq 16(%0), %%rdx;" 830 " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */ 831 " adcx %%rax, %%r11;" 832 " movq %%r11, 32(%1);" 833 " adcx %%rcx, %%rbx;" 834 " movq %%rbx, 40(%1);" 835 " movq 24(%0), %%rdx;" 836 " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */ 837 " adcx %%rax, %%r13;" 838 " movq %%r13, 48(%1);" 839 " adcx %%rcx, %%r14;" 840 " movq %%r14, 56(%1);" 841 842 /* Step 1: Compute all partial products */ 843 " movq 32(%0), %%rdx;" /* f[0] */ 844 " mulxq 40(%0), %%r8, %%r14;" 845 " xor %%r15d, %%r15d;" /* f[1]*f[0] */ 846 " mulxq 48(%0), %%r9, %%r10;" 847 " adcx %%r14, %%r9;" /* f[2]*f[0] */ 848 " mulxq 56(%0), %%rax, %%rcx;" 849 " adcx %%rax, %%r10;" /* f[3]*f[0] */ 850 " movq 56(%0), %%rdx;" /* f[3] */ 851 " mulxq 40(%0), %%r11, %%rbx;" 852 " adcx %%rcx, %%r11;" /* f[1]*f[3] */ 853 " mulxq 48(%0), %%rax, %%r13;" 854 " adcx %%rax, %%rbx;" /* f[2]*f[3] */ 855 " movq 40(%0), %%rdx;" 856 " adcx %%r15, %%r13;" /* f1 */ 857 " mulxq 48(%0), %%rax, %%rcx;" 858 " mov $0, %%r14;" /* f[2]*f[1] */ 859 860 /* Step 2: Compute two parallel carry chains */ 861 " xor %%r15d, %%r15d;" 862 " adox %%rax, %%r10;" 863 " adcx %%r8, %%r8;" 864 " adox %%rcx, %%r11;" 865 " adcx %%r9, %%r9;" 866 " adox %%r15, %%rbx;" 867 " adcx %%r10, %%r10;" 868 " adox %%r15, %%r13;" 869 " adcx %%r11, %%r11;" 870 " adox %%r15, %%r14;" 871 " adcx %%rbx, %%rbx;" 872 " adcx %%r13, %%r13;" 873 " adcx %%r14, %%r14;" 874 875 /* Step 3: Compute intermediate squares */ 876 " movq 32(%0), %%rdx;" 877 " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */ 878 " movq %%rax, 64(%1);" 879 " add %%rcx, %%r8;" 880 " movq %%r8, 72(%1);" 881 " movq 40(%0), %%rdx;" 882 " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */ 883 " adcx %%rax, %%r9;" 884 " movq %%r9, 80(%1);" 885 " adcx %%rcx, %%r10;" 886 " movq %%r10, 88(%1);" 887 " movq 48(%0), %%rdx;" 888 " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */ 889 " adcx %%rax, %%r11;" 890 " movq %%r11, 96(%1);" 891 " adcx %%rcx, %%rbx;" 892 " movq %%rbx, 104(%1);" 893 " movq 56(%0), %%rdx;" 894 " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */ 895 " adcx %%rax, %%r13;" 896 " movq %%r13, 112(%1);" 897 " adcx %%rcx, %%r14;" 898 " movq %%r14, 120(%1);" 899 900 /* Line up pointers */ 901 " mov %1, %0;" 902 " mov %2, %1;" 903 904 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 905 " mov $38, %%rdx;" 906 " mulxq 32(%0), %%r8, %%r13;" 907 " xor %%ecx, %%ecx;" 908 " adoxq 0(%0), %%r8;" 909 " mulxq 40(%0), %%r9, %%rbx;" 910 " adcx %%r13, %%r9;" 911 " adoxq 8(%0), %%r9;" 912 " mulxq 48(%0), %%r10, %%r13;" 913 " adcx %%rbx, %%r10;" 914 " adoxq 16(%0), %%r10;" 915 " mulxq 56(%0), %%r11, %%rax;" 916 " adcx %%r13, %%r11;" 917 " adoxq 24(%0), %%r11;" 918 " adcx %%rcx, %%rax;" 919 " adox %%rcx, %%rax;" 920 " imul %%rdx, %%rax;" 921 922 /* Step 2: Fold the carry back into dst */ 923 " add %%rax, %%r8;" 924 " adcx %%rcx, %%r9;" 925 " movq %%r9, 8(%1);" 926 " adcx %%rcx, %%r10;" 927 " movq %%r10, 16(%1);" 928 " adcx %%rcx, %%r11;" 929 " movq %%r11, 24(%1);" 930 931 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 932 " mov $0, %%rax;" 933 " cmovc %%rdx, %%rax;" 934 " add %%rax, %%r8;" 935 " movq %%r8, 0(%1);" 936 937 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 938 " mov $38, %%rdx;" 939 " mulxq 96(%0), %%r8, %%r13;" 940 " xor %%ecx, %%ecx;" 941 " adoxq 64(%0), %%r8;" 942 " mulxq 104(%0), %%r9, %%rbx;" 943 " adcx %%r13, %%r9;" 944 " adoxq 72(%0), %%r9;" 945 " mulxq 112(%0), %%r10, %%r13;" 946 " adcx %%rbx, %%r10;" 947 " adoxq 80(%0), %%r10;" 948 " mulxq 120(%0), %%r11, %%rax;" 949 " adcx %%r13, %%r11;" 950 " adoxq 88(%0), %%r11;" 951 " adcx %%rcx, %%rax;" 952 " adox %%rcx, %%rax;" 953 " imul %%rdx, %%rax;" 954 955 /* Step 2: Fold the carry back into dst */ 956 " add %%rax, %%r8;" 957 " adcx %%rcx, %%r9;" 958 " movq %%r9, 40(%1);" 959 " adcx %%rcx, %%r10;" 960 " movq %%r10, 48(%1);" 961 " adcx %%rcx, %%r11;" 962 " movq %%r11, 56(%1);" 963 964 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 965 " mov $0, %%rax;" 966 " cmovc %%rdx, %%rax;" 967 " add %%rax, %%r8;" 968 " movq %%r8, 32(%1);" 969 : "+&r"(f), "+&r"(tmp) 970 : "r"(out) 971 : "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", 972 "%r13", "%r14", "%r15", "memory", "cc"); 973 } 974 point_add_and_double(u64 * q,u64 * p01_tmp1,u64 * tmp2)975 static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2) 976 { 977 u64 *nq = p01_tmp1; 978 u64 *nq_p1 = p01_tmp1 + (u32)8U; 979 u64 *tmp1 = p01_tmp1 + (u32)16U; 980 u64 *x1 = q; 981 u64 *x2 = nq; 982 u64 *z2 = nq + (u32)4U; 983 u64 *z3 = nq_p1 + (u32)4U; 984 u64 *a = tmp1; 985 u64 *b = tmp1 + (u32)4U; 986 u64 *ab = tmp1; 987 u64 *dc = tmp1 + (u32)8U; 988 u64 *x3; 989 u64 *z31; 990 u64 *d0; 991 u64 *c0; 992 u64 *a1; 993 u64 *b1; 994 u64 *d; 995 u64 *c; 996 u64 *ab1; 997 u64 *dc1; 998 fadd(a, x2, z2); 999 fsub(b, x2, z2); 1000 x3 = nq_p1; 1001 z31 = nq_p1 + (u32)4U; 1002 d0 = dc; 1003 c0 = dc + (u32)4U; 1004 fadd(c0, x3, z31); 1005 fsub(d0, x3, z31); 1006 fmul2(dc, dc, ab, tmp2); 1007 fadd(x3, d0, c0); 1008 fsub(z31, d0, c0); 1009 a1 = tmp1; 1010 b1 = tmp1 + (u32)4U; 1011 d = tmp1 + (u32)8U; 1012 c = tmp1 + (u32)12U; 1013 ab1 = tmp1; 1014 dc1 = tmp1 + (u32)8U; 1015 fsqr2(dc1, ab1, tmp2); 1016 fsqr2(nq_p1, nq_p1, tmp2); 1017 a1[0U] = c[0U]; 1018 a1[1U] = c[1U]; 1019 a1[2U] = c[2U]; 1020 a1[3U] = c[3U]; 1021 fsub(c, d, c); 1022 fmul_scalar(b1, c, (u64)121665U); 1023 fadd(b1, b1, d); 1024 fmul2(nq, dc1, ab1, tmp2); 1025 fmul(z3, z3, x1, tmp2); 1026 } 1027 point_double(u64 * nq,u64 * tmp1,u64 * tmp2)1028 static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2) 1029 { 1030 u64 *x2 = nq; 1031 u64 *z2 = nq + (u32)4U; 1032 u64 *a = tmp1; 1033 u64 *b = tmp1 + (u32)4U; 1034 u64 *d = tmp1 + (u32)8U; 1035 u64 *c = tmp1 + (u32)12U; 1036 u64 *ab = tmp1; 1037 u64 *dc = tmp1 + (u32)8U; 1038 fadd(a, x2, z2); 1039 fsub(b, x2, z2); 1040 fsqr2(dc, ab, tmp2); 1041 a[0U] = c[0U]; 1042 a[1U] = c[1U]; 1043 a[2U] = c[2U]; 1044 a[3U] = c[3U]; 1045 fsub(c, d, c); 1046 fmul_scalar(b, c, (u64)121665U); 1047 fadd(b, b, d); 1048 fmul2(nq, dc, ab, tmp2); 1049 } 1050 montgomery_ladder(u64 * out,const u8 * key,u64 * init1)1051 static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1) 1052 { 1053 u64 tmp2[16U] = { 0U }; 1054 u64 p01_tmp1_swap[33U] = { 0U }; 1055 u64 *p0 = p01_tmp1_swap; 1056 u64 *p01 = p01_tmp1_swap; 1057 u64 *p03 = p01; 1058 u64 *p11 = p01 + (u32)8U; 1059 u64 *x0; 1060 u64 *z0; 1061 u64 *p01_tmp1; 1062 u64 *p01_tmp11; 1063 u64 *nq10; 1064 u64 *nq_p11; 1065 u64 *swap1; 1066 u64 sw0; 1067 u64 *nq1; 1068 u64 *tmp1; 1069 memcpy(p11, init1, (u32)8U * sizeof(init1[0U])); 1070 x0 = p03; 1071 z0 = p03 + (u32)4U; 1072 x0[0U] = (u64)1U; 1073 x0[1U] = (u64)0U; 1074 x0[2U] = (u64)0U; 1075 x0[3U] = (u64)0U; 1076 z0[0U] = (u64)0U; 1077 z0[1U] = (u64)0U; 1078 z0[2U] = (u64)0U; 1079 z0[3U] = (u64)0U; 1080 p01_tmp1 = p01_tmp1_swap; 1081 p01_tmp11 = p01_tmp1_swap; 1082 nq10 = p01_tmp1_swap; 1083 nq_p11 = p01_tmp1_swap + (u32)8U; 1084 swap1 = p01_tmp1_swap + (u32)32U; 1085 cswap2((u64)1U, nq10, nq_p11); 1086 point_add_and_double(init1, p01_tmp11, tmp2); 1087 swap1[0U] = (u64)1U; 1088 { 1089 u32 i; 1090 for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) { 1091 u64 *p01_tmp12 = p01_tmp1_swap; 1092 u64 *swap2 = p01_tmp1_swap + (u32)32U; 1093 u64 *nq2 = p01_tmp12; 1094 u64 *nq_p12 = p01_tmp12 + (u32)8U; 1095 u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U); 1096 u64 sw = swap2[0U] ^ bit; 1097 cswap2(sw, nq2, nq_p12); 1098 point_add_and_double(init1, p01_tmp12, tmp2); 1099 swap2[0U] = bit; 1100 } 1101 } 1102 sw0 = swap1[0U]; 1103 cswap2(sw0, nq10, nq_p11); 1104 nq1 = p01_tmp1; 1105 tmp1 = p01_tmp1 + (u32)16U; 1106 point_double(nq1, tmp1, tmp2); 1107 point_double(nq1, tmp1, tmp2); 1108 point_double(nq1, tmp1, tmp2); 1109 memcpy(out, p0, (u32)8U * sizeof(p0[0U])); 1110 1111 memzero_explicit(tmp2, sizeof(tmp2)); 1112 memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap)); 1113 } 1114 fsquare_times(u64 * o,const u64 * inp,u64 * tmp,u32 n1)1115 static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1) 1116 { 1117 u32 i; 1118 fsqr(o, inp, tmp); 1119 for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U) 1120 fsqr(o, o, tmp); 1121 } 1122 finv(u64 * o,const u64 * i,u64 * tmp)1123 static void finv(u64 *o, const u64 *i, u64 *tmp) 1124 { 1125 u64 t1[16U] = { 0U }; 1126 u64 *a0 = t1; 1127 u64 *b = t1 + (u32)4U; 1128 u64 *c = t1 + (u32)8U; 1129 u64 *t00 = t1 + (u32)12U; 1130 u64 *tmp1 = tmp; 1131 u64 *a; 1132 u64 *t0; 1133 fsquare_times(a0, i, tmp1, (u32)1U); 1134 fsquare_times(t00, a0, tmp1, (u32)2U); 1135 fmul(b, t00, i, tmp); 1136 fmul(a0, b, a0, tmp); 1137 fsquare_times(t00, a0, tmp1, (u32)1U); 1138 fmul(b, t00, b, tmp); 1139 fsquare_times(t00, b, tmp1, (u32)5U); 1140 fmul(b, t00, b, tmp); 1141 fsquare_times(t00, b, tmp1, (u32)10U); 1142 fmul(c, t00, b, tmp); 1143 fsquare_times(t00, c, tmp1, (u32)20U); 1144 fmul(t00, t00, c, tmp); 1145 fsquare_times(t00, t00, tmp1, (u32)10U); 1146 fmul(b, t00, b, tmp); 1147 fsquare_times(t00, b, tmp1, (u32)50U); 1148 fmul(c, t00, b, tmp); 1149 fsquare_times(t00, c, tmp1, (u32)100U); 1150 fmul(t00, t00, c, tmp); 1151 fsquare_times(t00, t00, tmp1, (u32)50U); 1152 fmul(t00, t00, b, tmp); 1153 fsquare_times(t00, t00, tmp1, (u32)5U); 1154 a = t1; 1155 t0 = t1 + (u32)12U; 1156 fmul(o, t0, a, tmp); 1157 } 1158 store_felem(u64 * b,u64 * f)1159 static void store_felem(u64 *b, u64 *f) 1160 { 1161 u64 f30 = f[3U]; 1162 u64 top_bit0 = f30 >> (u32)63U; 1163 u64 f31; 1164 u64 top_bit; 1165 u64 f0; 1166 u64 f1; 1167 u64 f2; 1168 u64 f3; 1169 u64 m0; 1170 u64 m1; 1171 u64 m2; 1172 u64 m3; 1173 u64 mask; 1174 u64 f0_; 1175 u64 f1_; 1176 u64 f2_; 1177 u64 f3_; 1178 u64 o0; 1179 u64 o1; 1180 u64 o2; 1181 u64 o3; 1182 f[3U] = f30 & (u64)0x7fffffffffffffffU; 1183 add_scalar(f, f, (u64)19U * top_bit0); 1184 f31 = f[3U]; 1185 top_bit = f31 >> (u32)63U; 1186 f[3U] = f31 & (u64)0x7fffffffffffffffU; 1187 add_scalar(f, f, (u64)19U * top_bit); 1188 f0 = f[0U]; 1189 f1 = f[1U]; 1190 f2 = f[2U]; 1191 f3 = f[3U]; 1192 m0 = gte_mask(f0, (u64)0xffffffffffffffedU); 1193 m1 = eq_mask(f1, (u64)0xffffffffffffffffU); 1194 m2 = eq_mask(f2, (u64)0xffffffffffffffffU); 1195 m3 = eq_mask(f3, (u64)0x7fffffffffffffffU); 1196 mask = ((m0 & m1) & m2) & m3; 1197 f0_ = f0 - (mask & (u64)0xffffffffffffffedU); 1198 f1_ = f1 - (mask & (u64)0xffffffffffffffffU); 1199 f2_ = f2 - (mask & (u64)0xffffffffffffffffU); 1200 f3_ = f3 - (mask & (u64)0x7fffffffffffffffU); 1201 o0 = f0_; 1202 o1 = f1_; 1203 o2 = f2_; 1204 o3 = f3_; 1205 b[0U] = o0; 1206 b[1U] = o1; 1207 b[2U] = o2; 1208 b[3U] = o3; 1209 } 1210 encode_point(u8 * o,const u64 * i)1211 static void encode_point(u8 *o, const u64 *i) 1212 { 1213 const u64 *x = i; 1214 const u64 *z = i + (u32)4U; 1215 u64 tmp[4U] = { 0U }; 1216 u64 tmp_w[16U] = { 0U }; 1217 finv(tmp, z, tmp_w); 1218 fmul(tmp, tmp, x, tmp_w); 1219 store_felem((u64 *)o, tmp); 1220 } 1221 curve25519_ever64(u8 * out,const u8 * priv,const u8 * pub)1222 static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub) 1223 { 1224 u64 init1[8U] = { 0U }; 1225 u64 tmp[4U] = { 0U }; 1226 u64 tmp3; 1227 u64 *x; 1228 u64 *z; 1229 { 1230 u32 i; 1231 for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) { 1232 u64 *os = tmp; 1233 const u8 *bj = pub + i * (u32)8U; 1234 u64 u = *(u64 *)bj; 1235 u64 r = u; 1236 u64 x0 = r; 1237 os[i] = x0; 1238 } 1239 } 1240 tmp3 = tmp[3U]; 1241 tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU; 1242 x = init1; 1243 z = init1 + (u32)4U; 1244 z[0U] = (u64)1U; 1245 z[1U] = (u64)0U; 1246 z[2U] = (u64)0U; 1247 z[3U] = (u64)0U; 1248 x[0U] = tmp[0U]; 1249 x[1U] = tmp[1U]; 1250 x[2U] = tmp[2U]; 1251 x[3U] = tmp[3U]; 1252 montgomery_ladder(init1, priv, init1); 1253 encode_point(out, init1); 1254 } 1255 1256 /* The below constants were generated using this sage script: 1257 * 1258 * #!/usr/bin/env sage 1259 * import sys 1260 * from sage.all import * 1261 * def limbs(n): 1262 * n = int(n) 1263 * l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64) 1264 * return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l 1265 * ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0]) 1266 * p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0] 1267 * print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s)) 1268 * print("static const u64 table_ladder[] = {") 1269 * p = ec.lift_x(9) 1270 * for i in range(252): 1271 * l = (p[0] + p[2]) / (p[0] - p[2]) 1272 * print(("\t%s" + ("," if i != 251 else "")) % limbs(l)) 1273 * p = p * 2 1274 * print("};") 1275 * 1276 */ 1277 1278 static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL }; 1279 1280 static const u64 table_ladder[] = { 1281 0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL, 1282 0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL, 1283 0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL, 1284 0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL, 1285 0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL, 1286 0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL, 1287 0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL, 1288 0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL, 1289 0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL, 1290 0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL, 1291 0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL, 1292 0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL, 1293 0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL, 1294 0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL, 1295 0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL, 1296 0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL, 1297 0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL, 1298 0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL, 1299 0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL, 1300 0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL, 1301 0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL, 1302 0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL, 1303 0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL, 1304 0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL, 1305 0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL, 1306 0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL, 1307 0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL, 1308 0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL, 1309 0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL, 1310 0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL, 1311 0x629fa80020156514ULL, 0xf223868764a8c1ceULL, 0x5b894fff0b3f060eULL, 0x60d9944cf708a3faULL, 1312 0xaeea001a1c7a201fULL, 0xebf16a633ee2ce63ULL, 0x6f7709594c7a07e1ULL, 0x79b958150d0208cbULL, 1313 0x24b55e5301d410e7ULL, 0xe3a34edff3fdc84dULL, 0xd88768e4904032d8ULL, 0x131384427b3aaeecULL, 1314 0x8405e51286234f14ULL, 0x14dc4739adb4c529ULL, 0xb8a2b5b250634ffdULL, 0x2fe2a94ad8a7ff93ULL, 1315 0xec5c57efe843faddULL, 0x2843ce40f0bb9918ULL, 0xa4b561d6cf3d6305ULL, 0x743629bde8fb777eULL, 1316 0x343edd46bbaf738fULL, 0xed981828b101a651ULL, 0xa401760b882c797aULL, 0x1fc223e28dc88730ULL, 1317 0x48604e91fc0fba0eULL, 0xb637f78f052c6fa4ULL, 0x91ccac3d09e9239cULL, 0x23f7eed4437a687cULL, 1318 0x5173b1118d9bd800ULL, 0x29d641b63189d4a7ULL, 0xfdbf177988bbc586ULL, 0x2959894fcad81df5ULL, 1319 0xaebc8ef3b4bbc899ULL, 0x4148995ab26992b9ULL, 0x24e20b0134f92cfbULL, 0x40d158894a05dee8ULL, 1320 0x46b00b1185af76f6ULL, 0x26bac77873187a79ULL, 0x3dc0bf95ab8fff5fULL, 0x2a608bd8945524d7ULL, 1321 0x26449588bd446302ULL, 0x7c4bc21c0388439cULL, 0x8e98a4f383bd11b2ULL, 0x26218d7bc9d876b9ULL, 1322 0xe3081542997c178aULL, 0x3c2d29a86fb6606fULL, 0x5c217736fa279374ULL, 0x7dde05734afeb1faULL, 1323 0x3bf10e3906d42babULL, 0xe4f7803e1980649cULL, 0xe6053bf89595bf7aULL, 0x394faf38da245530ULL, 1324 0x7a8efb58896928f4ULL, 0xfbc778e9cc6a113cULL, 0x72670ce330af596fULL, 0x48f222a81d3d6cf7ULL, 1325 0xf01fce410d72caa7ULL, 0x5a20ecc7213b5595ULL, 0x7bc21165c1fa1483ULL, 0x07f89ae31da8a741ULL, 1326 0x05d2c2b4c6830ff9ULL, 0xd43e330fc6316293ULL, 0xa5a5590a96d3a904ULL, 0x705edb91a65333b6ULL, 1327 0x048ee15e0bb9a5f7ULL, 0x3240cfca9e0aaf5dULL, 0x8f4b71ceedc4a40bULL, 0x621c0da3de544a6dULL, 1328 0x92872836a08c4091ULL, 0xce8375b010c91445ULL, 0x8a72eb524f276394ULL, 0x2667fcfa7ec83635ULL, 1329 0x7f4c173345e8752aULL, 0x061b47feee7079a5ULL, 0x25dd9afa9f86ff34ULL, 0x3780cef5425dc89cULL, 1330 0x1a46035a513bb4e9ULL, 0x3e1ef379ac575adaULL, 0xc78c5f1c5fa24b50ULL, 0x321a967634fd9f22ULL, 1331 0x946707b8826e27faULL, 0x3dca84d64c506fd0ULL, 0xc189218075e91436ULL, 0x6d9284169b3b8484ULL, 1332 0x3a67e840383f2ddfULL, 0x33eec9a30c4f9b75ULL, 0x3ec7c86fa783ef47ULL, 0x26ec449fbac9fbc4ULL, 1333 0x5c0f38cba09b9e7dULL, 0x81168cc762a3478cULL, 0x3e23b0d306fc121cULL, 0x5a238aa0a5efdcddULL, 1334 0x1ba26121c4ea43ffULL, 0x36f8c77f7c8832b5ULL, 0x88fbea0b0adcf99aULL, 0x5ca9938ec25bebf9ULL, 1335 0xd5436a5e51fccda0ULL, 0x1dbc4797c2cd893bULL, 0x19346a65d3224a08ULL, 0x0f5034e49b9af466ULL, 1336 0xf23c3967a1e0b96eULL, 0xe58b08fa867a4d88ULL, 0xfb2fabc6a7341679ULL, 0x2a75381eb6026946ULL, 1337 0xc80a3be4c19420acULL, 0x66b1f6c681f2b6dcULL, 0x7cf7036761e93388ULL, 0x25abbbd8a660a4c4ULL, 1338 0x91ea12ba14fd5198ULL, 0x684950fc4a3cffa9ULL, 0xf826842130f5ad28ULL, 0x3ea988f75301a441ULL, 1339 0xc978109a695f8c6fULL, 0x1746eb4a0530c3f3ULL, 0x444d6d77b4459995ULL, 0x75952b8c054e5cc7ULL, 1340 0xa3703f7915f4d6aaULL, 0x66c346202f2647d8ULL, 0xd01469df811d644bULL, 0x77fea47d81a5d71fULL, 1341 0xc5e9529ef57ca381ULL, 0x6eeeb4b9ce2f881aULL, 0xb6e91a28e8009bd6ULL, 0x4b80be3e9afc3fecULL, 1342 0x7e3773c526aed2c5ULL, 0x1b4afcb453c9a49dULL, 0xa920bdd7baffb24dULL, 0x7c54699f122d400eULL, 1343 0xef46c8e14fa94bc8ULL, 0xe0b074ce2952ed5eULL, 0xbea450e1dbd885d5ULL, 0x61b68649320f712cULL, 1344 0x8a485f7309ccbdd1ULL, 0xbd06320d7d4d1a2dULL, 0x25232973322dbef4ULL, 0x445dc4758c17f770ULL, 1345 0xdb0434177cc8933cULL, 0xed6fe82175ea059fULL, 0x1efebefdc053db34ULL, 0x4adbe867c65daf99ULL, 1346 0x3acd71a2a90609dfULL, 0xe5e991856dd04050ULL, 0x1ec69b688157c23cULL, 0x697427f6885cfe4dULL, 1347 0xd7be7b9b65e1a851ULL, 0xa03d28d522c536ddULL, 0x28399d658fd2b645ULL, 0x49e5b7e17c2641e1ULL, 1348 0x6f8c3a98700457a4ULL, 0x5078f0a25ebb6778ULL, 0xd13c3ccbc382960fULL, 0x2e003258a7df84b1ULL, 1349 0x8ad1f39be6296a1cULL, 0xc1eeaa652a5fbfb2ULL, 0x33ee0673fd26f3cbULL, 0x59256173a69d2cccULL, 1350 0x41ea07aa4e18fc41ULL, 0xd9fc19527c87a51eULL, 0xbdaacb805831ca6fULL, 0x445b652dc916694fULL, 1351 0xce92a3a7f2172315ULL, 0x1edc282de11b9964ULL, 0xa1823aafe04c314aULL, 0x790a2d94437cf586ULL, 1352 0x71c447fb93f6e009ULL, 0x8922a56722845276ULL, 0xbf70903b204f5169ULL, 0x2f7a89891ba319feULL, 1353 0x02a08eb577e2140cULL, 0xed9a4ed4427bdcf4ULL, 0x5253ec44e4323cd1ULL, 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0x593ddf1f8081d357ULL, 0x0249a4fd813fd7a6ULL, 0x69acca274e9caf61ULL, 1498 0x047ba3ea330721c9ULL, 0x83423fc20e7e1ea0ULL, 0x1df4c0af01314a60ULL, 0x09a62dab89289527ULL, 1499 0xa5b325a49cc6cb00ULL, 0xe94b5dc654b56cb6ULL, 0x3be28779adc994a0ULL, 0x4296e8f8ba3a4aadULL, 1500 0x328689761e451eabULL, 0x2e4d598bff59594aULL, 0x49b96853d7a7084aULL, 0x4980a319601420a8ULL, 1501 0x9565b9e12f552c42ULL, 0x8a5318db7100fe96ULL, 0x05c90b4d43add0d7ULL, 0x538b4cd66a5d4edaULL, 1502 0xf4e94fc3e89f039fULL, 0x592c9af26f618045ULL, 0x08a36eb5fd4b9550ULL, 0x25fffaf6c2ed1419ULL, 1503 0x34434459cc79d354ULL, 0xeeecbfb4b1d5476bULL, 0xddeb34a061615d99ULL, 0x5129cecceb64b773ULL, 1504 0xee43215894993520ULL, 0x772f9c7cf14c0b3bULL, 0xd2e2fce306bedad5ULL, 0x715f42b546f06a97ULL, 1505 0x434ecdceda5b5f1aULL, 0x0da17115a49741a9ULL, 0x680bd77c73edad2eULL, 0x487c02354edd9041ULL, 1506 0xb8efeff3a70ed9c4ULL, 0x56a32aa3e857e302ULL, 0xdf3a68bd48a2a5a0ULL, 0x07f650b73176c444ULL, 1507 0xe38b9b1626e0ccb1ULL, 0x79e053c18b09fb36ULL, 0x56d90319c9f94964ULL, 0x1ca941e7ac9ff5c4ULL, 1508 0x49c4df29162fa0bbULL, 0x8488cf3282b33305ULL, 0x95dfda14cabb437dULL, 0x3391f78264d5ad86ULL, 1509 0x729ae06ae2b5095dULL, 0xd58a58d73259a946ULL, 0xe9834262d13921edULL, 0x27fedafaa54bb592ULL, 1510 0xa99dc5b829ad48bbULL, 0x5f025742499ee260ULL, 0x802c8ecd5d7513fdULL, 0x78ceb3ef3f6dd938ULL, 1511 0xc342f44f8a135d94ULL, 0x7b9edb44828cdda3ULL, 0x9436d11a0537cfe7ULL, 0x5064b164ec1ab4c8ULL, 1512 0x7020eccfd37eb2fcULL, 0x1f31ea3ed90d25fcULL, 0x1b930d7bdfa1bb34ULL, 0x5344467a48113044ULL, 1513 0x70073170f25e6dfbULL, 0xe385dc1a50114cc8ULL, 0x2348698ac8fc4f00ULL, 0x2a77a55284dd40d8ULL, 1514 0xfe06afe0c98c6ce4ULL, 0xc235df96dddfd6e4ULL, 0x1428d01e33bf1ed3ULL, 0x785768ec9300bdafULL, 1515 0x9702e57a91deb63bULL, 0x61bdb8bfe5ce8b80ULL, 0x645b426f3d1d58acULL, 0x4804a82227a557bcULL, 1516 0x8e57048ab44d2601ULL, 0x68d6501a4b3a6935ULL, 0xc39c9ec3f9e1c293ULL, 0x4172f257d4de63e2ULL, 1517 0xd368b450330c6401ULL, 0x040d3017418f2391ULL, 0x2c34bb6090b7d90dULL, 0x16f649228fdfd51fULL, 1518 0xbea6818e2b928ef5ULL, 0xe28ccf91cdc11e72ULL, 0x594aaa68e77a36cdULL, 0x313034806c7ffd0fULL, 1519 0x8a9d27ac2249bd65ULL, 0x19a3b464018e9512ULL, 0xc26ccff352b37ec7ULL, 0x056f68341d797b21ULL, 1520 0x5e79d6757efd2327ULL, 0xfabdbcb6553afe15ULL, 0xd3e7222c6eaf5a60ULL, 0x7046c76d4dae743bULL, 1521 0x660be872b18d4a55ULL, 0x19992518574e1496ULL, 0xc103053a302bdcbbULL, 0x3ed8e9800b218e8eULL, 1522 0x7b0b9239fa75e03eULL, 0xefe9fb684633c083ULL, 0x98a35fbe391a7793ULL, 0x6065510fe2d0fe34ULL, 1523 0x55cb668548abad0cULL, 0xb4584548da87e527ULL, 0x2c43ecea0107c1ddULL, 0x526028809372de35ULL, 1524 0x3415c56af9213b1fULL, 0x5bee1a4d017e98dbULL, 0x13f6b105b5cf709bULL, 0x5ff20e3482b29ab6ULL, 1525 0x0aa29c75cc2e6c90ULL, 0xfc7d73ca3a70e206ULL, 0x899fc38fc4b5c515ULL, 0x250386b124ffc207ULL, 1526 0x54ea28d5ae3d2b56ULL, 0x9913149dd6de60ceULL, 0x16694fc58f06d6c1ULL, 0x46b23975eb018fc7ULL, 1527 0x470a6a0fb4b7b4e2ULL, 0x5d92475a8f7253deULL, 0xabeee5b52fbd3adbULL, 0x7fa20801a0806968ULL, 1528 0x76f3faf19f7714d2ULL, 0xb3e840c12f4660c3ULL, 0x0fb4cd8df212744eULL, 0x4b065a251d3a2dd2ULL, 1529 0x5cebde383d77cd4aULL, 0x6adf39df882c9cb1ULL, 0xa2dd242eb09af759ULL, 0x3147c0e50e5f6422ULL, 1530 0x164ca5101d1350dbULL, 0xf8d13479c33fc962ULL, 0xe640ce4d13e5da08ULL, 0x4bdee0c45061f8baULL, 1531 0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL, 1532 0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL 1533 }; 1534 curve25519_ever64_base(u8 * out,const u8 * priv)1535 static void curve25519_ever64_base(u8 *out, const u8 *priv) 1536 { 1537 u64 swap = 1; 1538 int i, j, k; 1539 u64 tmp[16 + 32 + 4]; 1540 u64 *x1 = &tmp[0]; 1541 u64 *z1 = &tmp[4]; 1542 u64 *x2 = &tmp[8]; 1543 u64 *z2 = &tmp[12]; 1544 u64 *xz1 = &tmp[0]; 1545 u64 *xz2 = &tmp[8]; 1546 u64 *a = &tmp[0 + 16]; 1547 u64 *b = &tmp[4 + 16]; 1548 u64 *c = &tmp[8 + 16]; 1549 u64 *ab = &tmp[0 + 16]; 1550 u64 *abcd = &tmp[0 + 16]; 1551 u64 *ef = &tmp[16 + 16]; 1552 u64 *efgh = &tmp[16 + 16]; 1553 u64 *key = &tmp[0 + 16 + 32]; 1554 1555 memcpy(key, priv, 32); 1556 ((u8 *)key)[0] &= 248; 1557 ((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64; 1558 1559 x1[0] = 1, x1[1] = x1[2] = x1[3] = 0; 1560 z1[0] = 1, z1[1] = z1[2] = z1[3] = 0; 1561 z2[0] = 1, z2[1] = z2[2] = z2[3] = 0; 1562 memcpy(x2, p_minus_s, sizeof(p_minus_s)); 1563 1564 j = 3; 1565 for (i = 0; i < 4; ++i) { 1566 while (j < (const int[]){ 64, 64, 64, 63 }[i]) { 1567 u64 bit = (key[i] >> j) & 1; 1568 k = (64 * i + j - 3); 1569 swap = swap ^ bit; 1570 cswap2(swap, xz1, xz2); 1571 swap = bit; 1572 fsub(b, x1, z1); 1573 fadd(a, x1, z1); 1574 fmul(c, &table_ladder[4 * k], b, ef); 1575 fsub(b, a, c); 1576 fadd(a, a, c); 1577 fsqr2(ab, ab, efgh); 1578 fmul2(xz1, xz2, ab, efgh); 1579 ++j; 1580 } 1581 j = 0; 1582 } 1583 1584 point_double(xz1, abcd, efgh); 1585 point_double(xz1, abcd, efgh); 1586 point_double(xz1, abcd, efgh); 1587 encode_point(out, xz1); 1588 1589 memzero_explicit(tmp, sizeof(tmp)); 1590 } 1591 1592 static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx); 1593 curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],const u8 secret[CURVE25519_KEY_SIZE],const u8 basepoint[CURVE25519_KEY_SIZE])1594 void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE], 1595 const u8 secret[CURVE25519_KEY_SIZE], 1596 const u8 basepoint[CURVE25519_KEY_SIZE]) 1597 { 1598 if (static_branch_likely(&curve25519_use_bmi2_adx)) 1599 curve25519_ever64(mypublic, secret, basepoint); 1600 else 1601 curve25519_generic(mypublic, secret, basepoint); 1602 } 1603 EXPORT_SYMBOL(curve25519_arch); 1604 curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],const u8 secret[CURVE25519_KEY_SIZE])1605 void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE], 1606 const u8 secret[CURVE25519_KEY_SIZE]) 1607 { 1608 if (static_branch_likely(&curve25519_use_bmi2_adx)) 1609 curve25519_ever64_base(pub, secret); 1610 else 1611 curve25519_generic(pub, secret, curve25519_base_point); 1612 } 1613 EXPORT_SYMBOL(curve25519_base_arch); 1614 curve25519_set_secret(struct crypto_kpp * tfm,const void * buf,unsigned int len)1615 static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf, 1616 unsigned int len) 1617 { 1618 u8 *secret = kpp_tfm_ctx(tfm); 1619 1620 if (!len) 1621 curve25519_generate_secret(secret); 1622 else if (len == CURVE25519_KEY_SIZE && 1623 crypto_memneq(buf, curve25519_null_point, CURVE25519_KEY_SIZE)) 1624 memcpy(secret, buf, CURVE25519_KEY_SIZE); 1625 else 1626 return -EINVAL; 1627 return 0; 1628 } 1629 curve25519_generate_public_key(struct kpp_request * req)1630 static int curve25519_generate_public_key(struct kpp_request *req) 1631 { 1632 struct crypto_kpp *tfm = crypto_kpp_reqtfm(req); 1633 const u8 *secret = kpp_tfm_ctx(tfm); 1634 u8 buf[CURVE25519_KEY_SIZE]; 1635 int copied, nbytes; 1636 1637 if (req->src) 1638 return -EINVAL; 1639 1640 curve25519_base_arch(buf, secret); 1641 1642 /* might want less than we've got */ 1643 nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len); 1644 copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst, 1645 nbytes), 1646 buf, nbytes); 1647 if (copied != nbytes) 1648 return -EINVAL; 1649 return 0; 1650 } 1651 curve25519_compute_shared_secret(struct kpp_request * req)1652 static int curve25519_compute_shared_secret(struct kpp_request *req) 1653 { 1654 struct crypto_kpp *tfm = crypto_kpp_reqtfm(req); 1655 const u8 *secret = kpp_tfm_ctx(tfm); 1656 u8 public_key[CURVE25519_KEY_SIZE]; 1657 u8 buf[CURVE25519_KEY_SIZE]; 1658 int copied, nbytes; 1659 1660 if (!req->src) 1661 return -EINVAL; 1662 1663 copied = sg_copy_to_buffer(req->src, 1664 sg_nents_for_len(req->src, 1665 CURVE25519_KEY_SIZE), 1666 public_key, CURVE25519_KEY_SIZE); 1667 if (copied != CURVE25519_KEY_SIZE) 1668 return -EINVAL; 1669 1670 curve25519_arch(buf, secret, public_key); 1671 1672 /* might want less than we've got */ 1673 nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len); 1674 copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst, 1675 nbytes), 1676 buf, nbytes); 1677 if (copied != nbytes) 1678 return -EINVAL; 1679 return 0; 1680 } 1681 curve25519_max_size(struct crypto_kpp * tfm)1682 static unsigned int curve25519_max_size(struct crypto_kpp *tfm) 1683 { 1684 return CURVE25519_KEY_SIZE; 1685 } 1686 1687 static struct kpp_alg curve25519_alg = { 1688 .base.cra_name = "curve25519", 1689 .base.cra_driver_name = "curve25519-x86", 1690 .base.cra_priority = 200, 1691 .base.cra_module = THIS_MODULE, 1692 .base.cra_ctxsize = CURVE25519_KEY_SIZE, 1693 1694 .set_secret = curve25519_set_secret, 1695 .generate_public_key = curve25519_generate_public_key, 1696 .compute_shared_secret = curve25519_compute_shared_secret, 1697 .max_size = curve25519_max_size, 1698 }; 1699 1700 curve25519_mod_init(void)1701 static int __init curve25519_mod_init(void) 1702 { 1703 if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX)) 1704 static_branch_enable(&curve25519_use_bmi2_adx); 1705 else 1706 return 0; 1707 return IS_REACHABLE(CONFIG_CRYPTO_KPP) ? 1708 crypto_register_kpp(&curve25519_alg) : 0; 1709 } 1710 curve25519_mod_exit(void)1711 static void __exit curve25519_mod_exit(void) 1712 { 1713 if (IS_REACHABLE(CONFIG_CRYPTO_KPP) && 1714 static_branch_likely(&curve25519_use_bmi2_adx)) 1715 crypto_unregister_kpp(&curve25519_alg); 1716 } 1717 1718 module_init(curve25519_mod_init); 1719 module_exit(curve25519_mod_exit); 1720 1721 MODULE_ALIAS_CRYPTO("curve25519"); 1722 MODULE_ALIAS_CRYPTO("curve25519-x86"); 1723 MODULE_LICENSE("GPL v2"); 1724 MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>"); 1725