1 /** 2 * \file bn_mul.h 3 * 4 * \brief Multi-precision integer library 5 */ 6 /* 7 * Copyright The Mbed TLS Contributors 8 * SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later 9 * 10 * This file is provided under the Apache License 2.0, or the 11 * GNU General Public License v2.0 or later. 12 * 13 * ********** 14 * Apache License 2.0: 15 * 16 * Licensed under the Apache License, Version 2.0 (the "License"); you may 17 * not use this file except in compliance with the License. 18 * You may obtain a copy of the License at 19 * 20 * http://www.apache.org/licenses/LICENSE-2.0 21 * 22 * Unless required by applicable law or agreed to in writing, software 23 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT 24 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 25 * See the License for the specific language governing permissions and 26 * limitations under the License. 27 * 28 * ********** 29 * 30 * ********** 31 * GNU General Public License v2.0 or later: 32 * 33 * This program is free software; you can redistribute it and/or modify 34 * it under the terms of the GNU General Public License as published by 35 * the Free Software Foundation; either version 2 of the License, or 36 * (at your option) any later version. 37 * 38 * This program is distributed in the hope that it will be useful, 39 * but WITHOUT ANY WARRANTY; without even the implied warranty of 40 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 41 * GNU General Public License for more details. 42 * 43 * You should have received a copy of the GNU General Public License along 44 * with this program; if not, write to the Free Software Foundation, Inc., 45 * 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. 46 * 47 * ********** 48 */ 49 /* 50 * Multiply source vector [s] with b, add result 51 * to destination vector [d] and set carry c. 52 * 53 * Currently supports: 54 * 55 * . IA-32 (386+) . AMD64 / EM64T 56 * . IA-32 (SSE2) . Motorola 68000 57 * . PowerPC, 32-bit . MicroBlaze 58 * . PowerPC, 64-bit . TriCore 59 * . SPARC v8 . ARM v3+ 60 * . Alpha . MIPS32 61 * . C, longlong . C, generic 62 */ 63 #ifndef MBEDTLS_BN_MUL_H 64 #define MBEDTLS_BN_MUL_H 65 66 #if !defined(MBEDTLS_CONFIG_FILE) 67 #include "config.h" 68 #else 69 #include MBEDTLS_CONFIG_FILE 70 #endif 71 72 #include "bignum.h" 73 74 75 /* 76 * Conversion macros for embedded constants: 77 * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2 78 */ 79 #if defined(MBEDTLS_HAVE_INT32) 80 81 #define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \ 82 ( (mbedtls_mpi_uint) (a) << 0 ) | \ 83 ( (mbedtls_mpi_uint) (b) << 8 ) | \ 84 ( (mbedtls_mpi_uint) (c) << 16 ) | \ 85 ( (mbedtls_mpi_uint) (d) << 24 ) 86 87 #define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \ 88 MBEDTLS_BYTES_TO_T_UINT_4( a, b, 0, 0 ) 89 90 #define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \ 91 MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ), \ 92 MBEDTLS_BYTES_TO_T_UINT_4( e, f, g, h ) 93 94 #else /* 64-bits */ 95 96 #define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \ 97 ( (mbedtls_mpi_uint) (a) << 0 ) | \ 98 ( (mbedtls_mpi_uint) (b) << 8 ) | \ 99 ( (mbedtls_mpi_uint) (c) << 16 ) | \ 100 ( (mbedtls_mpi_uint) (d) << 24 ) | \ 101 ( (mbedtls_mpi_uint) (e) << 32 ) | \ 102 ( (mbedtls_mpi_uint) (f) << 40 ) | \ 103 ( (mbedtls_mpi_uint) (g) << 48 ) | \ 104 ( (mbedtls_mpi_uint) (h) << 56 ) 105 106 #define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \ 107 MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 ) 108 109 #define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \ 110 MBEDTLS_BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 ) 111 112 #endif /* bits in mbedtls_mpi_uint */ 113 114 #if defined(MBEDTLS_HAVE_ASM) 115 116 #ifndef asm 117 #define asm __asm 118 #endif 119 120 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */ 121 #if defined(__GNUC__) && \ 122 ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 ) 123 124 /* 125 * Disable use of the i386 assembly code below if option -O0, to disable all 126 * compiler optimisations, is passed, detected with __OPTIMIZE__ 127 * This is done as the number of registers used in the assembly code doesn't 128 * work with the -O0 option. 129 */ 130 #if defined(__i386__) && defined(__OPTIMIZE__) 131 132 #define MULADDC_INIT \ 133 asm( \ 134 "movl %%ebx, %0 \n\t" \ 135 "movl %5, %%esi \n\t" \ 136 "movl %6, %%edi \n\t" \ 137 "movl %7, %%ecx \n\t" \ 138 "movl %8, %%ebx \n\t" 139 140 #define MULADDC_CORE \ 141 "lodsl \n\t" \ 142 "mull %%ebx \n\t" \ 143 "addl %%ecx, %%eax \n\t" \ 144 "adcl $0, %%edx \n\t" \ 145 "addl (%%edi), %%eax \n\t" \ 146 "adcl $0, %%edx \n\t" \ 147 "movl %%edx, %%ecx \n\t" \ 148 "stosl \n\t" 149 150 #if defined(MBEDTLS_HAVE_SSE2) 151 152 #define MULADDC_HUIT \ 153 "movd %%ecx, %%mm1 \n\t" \ 154 "movd %%ebx, %%mm0 \n\t" \ 155 "movd (%%edi), %%mm3 \n\t" \ 156 "paddq %%mm3, %%mm1 \n\t" \ 157 "movd (%%esi), %%mm2 \n\t" \ 158 "pmuludq %%mm0, %%mm2 \n\t" \ 159 "movd 4(%%esi), %%mm4 \n\t" \ 160 "pmuludq %%mm0, %%mm4 \n\t" \ 161 "movd 8(%%esi), %%mm6 \n\t" \ 162 "pmuludq %%mm0, %%mm6 \n\t" \ 163 "movd 12(%%esi), %%mm7 \n\t" \ 164 "pmuludq %%mm0, %%mm7 \n\t" \ 165 "paddq %%mm2, %%mm1 \n\t" \ 166 "movd 4(%%edi), %%mm3 \n\t" \ 167 "paddq %%mm4, %%mm3 \n\t" \ 168 "movd 8(%%edi), %%mm5 \n\t" \ 169 "paddq %%mm6, %%mm5 \n\t" \ 170 "movd 12(%%edi), %%mm4 \n\t" \ 171 "paddq %%mm4, %%mm7 \n\t" \ 172 "movd %%mm1, (%%edi) \n\t" \ 173 "movd 16(%%esi), %%mm2 \n\t" \ 174 "pmuludq %%mm0, %%mm2 \n\t" \ 175 "psrlq $32, %%mm1 \n\t" \ 176 "movd 20(%%esi), %%mm4 \n\t" \ 177 "pmuludq %%mm0, %%mm4 \n\t" \ 178 "paddq %%mm3, %%mm1 \n\t" \ 179 "movd 24(%%esi), %%mm6 \n\t" \ 180 "pmuludq %%mm0, %%mm6 \n\t" \ 181 "movd %%mm1, 4(%%edi) \n\t" \ 182 "psrlq $32, %%mm1 \n\t" \ 183 "movd 28(%%esi), %%mm3 \n\t" \ 184 "pmuludq %%mm0, %%mm3 \n\t" \ 185 "paddq %%mm5, %%mm1 \n\t" \ 186 "movd 16(%%edi), %%mm5 \n\t" \ 187 "paddq %%mm5, %%mm2 \n\t" \ 188 "movd %%mm1, 8(%%edi) \n\t" \ 189 "psrlq $32, %%mm1 \n\t" \ 190 "paddq %%mm7, %%mm1 \n\t" \ 191 "movd 20(%%edi), %%mm5 \n\t" \ 192 "paddq %%mm5, %%mm4 \n\t" \ 193 "movd %%mm1, 12(%%edi) \n\t" \ 194 "psrlq $32, %%mm1 \n\t" \ 195 "paddq %%mm2, %%mm1 \n\t" \ 196 "movd 24(%%edi), %%mm5 \n\t" \ 197 "paddq %%mm5, %%mm6 \n\t" \ 198 "movd %%mm1, 16(%%edi) \n\t" \ 199 "psrlq $32, %%mm1 \n\t" \ 200 "paddq %%mm4, %%mm1 \n\t" \ 201 "movd 28(%%edi), %%mm5 \n\t" \ 202 "paddq %%mm5, %%mm3 \n\t" \ 203 "movd %%mm1, 20(%%edi) \n\t" \ 204 "psrlq $32, %%mm1 \n\t" \ 205 "paddq %%mm6, %%mm1 \n\t" \ 206 "movd %%mm1, 24(%%edi) \n\t" \ 207 "psrlq $32, %%mm1 \n\t" \ 208 "paddq %%mm3, %%mm1 \n\t" \ 209 "movd %%mm1, 28(%%edi) \n\t" \ 210 "addl $32, %%edi \n\t" \ 211 "addl $32, %%esi \n\t" \ 212 "psrlq $32, %%mm1 \n\t" \ 213 "movd %%mm1, %%ecx \n\t" 214 215 #define MULADDC_STOP \ 216 "emms \n\t" \ 217 "movl %4, %%ebx \n\t" \ 218 "movl %%ecx, %1 \n\t" \ 219 "movl %%edi, %2 \n\t" \ 220 "movl %%esi, %3 \n\t" \ 221 : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \ 222 : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \ 223 : "eax", "ebx", "ecx", "edx", "esi", "edi" \ 224 ); 225 226 #else 227 228 #define MULADDC_STOP \ 229 "movl %4, %%ebx \n\t" \ 230 "movl %%ecx, %1 \n\t" \ 231 "movl %%edi, %2 \n\t" \ 232 "movl %%esi, %3 \n\t" \ 233 : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \ 234 : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \ 235 : "eax", "ebx", "ecx", "edx", "esi", "edi" \ 236 ); 237 #endif /* SSE2 */ 238 #endif /* i386 */ 239 240 #if defined(__amd64__) || defined (__x86_64__) 241 242 #define MULADDC_INIT \ 243 asm( \ 244 "xorq %%r8, %%r8\n" 245 246 #define MULADDC_CORE \ 247 "movq (%%rsi), %%rax\n" \ 248 "mulq %%rbx\n" \ 249 "addq $8, %%rsi\n" \ 250 "addq %%rcx, %%rax\n" \ 251 "movq %%r8, %%rcx\n" \ 252 "adcq $0, %%rdx\n" \ 253 "nop \n" \ 254 "addq %%rax, (%%rdi)\n" \ 255 "adcq %%rdx, %%rcx\n" \ 256 "addq $8, %%rdi\n" 257 258 #define MULADDC_STOP \ 259 : "+c" (c), "+D" (d), "+S" (s) \ 260 : "b" (b) \ 261 : "rax", "rdx", "r8" \ 262 ); 263 264 #endif /* AMD64 */ 265 266 #if defined(__mc68020__) || defined(__mcpu32__) 267 268 #define MULADDC_INIT \ 269 asm( \ 270 "movl %3, %%a2 \n\t" \ 271 "movl %4, %%a3 \n\t" \ 272 "movl %5, %%d3 \n\t" \ 273 "movl %6, %%d2 \n\t" \ 274 "moveq #0, %%d0 \n\t" 275 276 #define MULADDC_CORE \ 277 "movel %%a2@+, %%d1 \n\t" \ 278 "mulul %%d2, %%d4:%%d1 \n\t" \ 279 "addl %%d3, %%d1 \n\t" \ 280 "addxl %%d0, %%d4 \n\t" \ 281 "moveq #0, %%d3 \n\t" \ 282 "addl %%d1, %%a3@+ \n\t" \ 283 "addxl %%d4, %%d3 \n\t" 284 285 #define MULADDC_STOP \ 286 "movl %%d3, %0 \n\t" \ 287 "movl %%a3, %1 \n\t" \ 288 "movl %%a2, %2 \n\t" \ 289 : "=m" (c), "=m" (d), "=m" (s) \ 290 : "m" (s), "m" (d), "m" (c), "m" (b) \ 291 : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \ 292 ); 293 294 #define MULADDC_HUIT \ 295 "movel %%a2@+, %%d1 \n\t" \ 296 "mulul %%d2, %%d4:%%d1 \n\t" \ 297 "addxl %%d3, %%d1 \n\t" \ 298 "addxl %%d0, %%d4 \n\t" \ 299 "addl %%d1, %%a3@+ \n\t" \ 300 "movel %%a2@+, %%d1 \n\t" \ 301 "mulul %%d2, %%d3:%%d1 \n\t" \ 302 "addxl %%d4, %%d1 \n\t" \ 303 "addxl %%d0, %%d3 \n\t" \ 304 "addl %%d1, %%a3@+ \n\t" \ 305 "movel %%a2@+, %%d1 \n\t" \ 306 "mulul %%d2, %%d4:%%d1 \n\t" \ 307 "addxl %%d3, %%d1 \n\t" \ 308 "addxl %%d0, %%d4 \n\t" \ 309 "addl %%d1, %%a3@+ \n\t" \ 310 "movel %%a2@+, %%d1 \n\t" \ 311 "mulul %%d2, %%d3:%%d1 \n\t" \ 312 "addxl %%d4, %%d1 \n\t" \ 313 "addxl %%d0, %%d3 \n\t" \ 314 "addl %%d1, %%a3@+ \n\t" \ 315 "movel %%a2@+, %%d1 \n\t" \ 316 "mulul %%d2, %%d4:%%d1 \n\t" \ 317 "addxl %%d3, %%d1 \n\t" \ 318 "addxl %%d0, %%d4 \n\t" \ 319 "addl %%d1, %%a3@+ \n\t" \ 320 "movel %%a2@+, %%d1 \n\t" \ 321 "mulul %%d2, %%d3:%%d1 \n\t" \ 322 "addxl %%d4, %%d1 \n\t" \ 323 "addxl %%d0, %%d3 \n\t" \ 324 "addl %%d1, %%a3@+ \n\t" \ 325 "movel %%a2@+, %%d1 \n\t" \ 326 "mulul %%d2, %%d4:%%d1 \n\t" \ 327 "addxl %%d3, %%d1 \n\t" \ 328 "addxl %%d0, %%d4 \n\t" \ 329 "addl %%d1, %%a3@+ \n\t" \ 330 "movel %%a2@+, %%d1 \n\t" \ 331 "mulul %%d2, %%d3:%%d1 \n\t" \ 332 "addxl %%d4, %%d1 \n\t" \ 333 "addxl %%d0, %%d3 \n\t" \ 334 "addl %%d1, %%a3@+ \n\t" \ 335 "addxl %%d0, %%d3 \n\t" 336 337 #endif /* MC68000 */ 338 339 #if defined(__powerpc64__) || defined(__ppc64__) 340 341 #if defined(__MACH__) && defined(__APPLE__) 342 343 #define MULADDC_INIT \ 344 asm( \ 345 "ld r3, %3 \n\t" \ 346 "ld r4, %4 \n\t" \ 347 "ld r5, %5 \n\t" \ 348 "ld r6, %6 \n\t" \ 349 "addi r3, r3, -8 \n\t" \ 350 "addi r4, r4, -8 \n\t" \ 351 "addic r5, r5, 0 \n\t" 352 353 #define MULADDC_CORE \ 354 "ldu r7, 8(r3) \n\t" \ 355 "mulld r8, r7, r6 \n\t" \ 356 "mulhdu r9, r7, r6 \n\t" \ 357 "adde r8, r8, r5 \n\t" \ 358 "ld r7, 8(r4) \n\t" \ 359 "addze r5, r9 \n\t" \ 360 "addc r8, r8, r7 \n\t" \ 361 "stdu r8, 8(r4) \n\t" 362 363 #define MULADDC_STOP \ 364 "addze r5, r5 \n\t" \ 365 "addi r4, r4, 8 \n\t" \ 366 "addi r3, r3, 8 \n\t" \ 367 "std r5, %0 \n\t" \ 368 "std r4, %1 \n\t" \ 369 "std r3, %2 \n\t" \ 370 : "=m" (c), "=m" (d), "=m" (s) \ 371 : "m" (s), "m" (d), "m" (c), "m" (b) \ 372 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 373 ); 374 375 376 #else /* __MACH__ && __APPLE__ */ 377 378 #define MULADDC_INIT \ 379 asm( \ 380 "ld %%r3, %3 \n\t" \ 381 "ld %%r4, %4 \n\t" \ 382 "ld %%r5, %5 \n\t" \ 383 "ld %%r6, %6 \n\t" \ 384 "addi %%r3, %%r3, -8 \n\t" \ 385 "addi %%r4, %%r4, -8 \n\t" \ 386 "addic %%r5, %%r5, 0 \n\t" 387 388 #define MULADDC_CORE \ 389 "ldu %%r7, 8(%%r3) \n\t" \ 390 "mulld %%r8, %%r7, %%r6 \n\t" \ 391 "mulhdu %%r9, %%r7, %%r6 \n\t" \ 392 "adde %%r8, %%r8, %%r5 \n\t" \ 393 "ld %%r7, 8(%%r4) \n\t" \ 394 "addze %%r5, %%r9 \n\t" \ 395 "addc %%r8, %%r8, %%r7 \n\t" \ 396 "stdu %%r8, 8(%%r4) \n\t" 397 398 #define MULADDC_STOP \ 399 "addze %%r5, %%r5 \n\t" \ 400 "addi %%r4, %%r4, 8 \n\t" \ 401 "addi %%r3, %%r3, 8 \n\t" \ 402 "std %%r5, %0 \n\t" \ 403 "std %%r4, %1 \n\t" \ 404 "std %%r3, %2 \n\t" \ 405 : "=m" (c), "=m" (d), "=m" (s) \ 406 : "m" (s), "m" (d), "m" (c), "m" (b) \ 407 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 408 ); 409 410 #endif /* __MACH__ && __APPLE__ */ 411 412 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */ 413 414 #if defined(__MACH__) && defined(__APPLE__) 415 416 #define MULADDC_INIT \ 417 asm( \ 418 "lwz r3, %3 \n\t" \ 419 "lwz r4, %4 \n\t" \ 420 "lwz r5, %5 \n\t" \ 421 "lwz r6, %6 \n\t" \ 422 "addi r3, r3, -4 \n\t" \ 423 "addi r4, r4, -4 \n\t" \ 424 "addic r5, r5, 0 \n\t" 425 426 #define MULADDC_CORE \ 427 "lwzu r7, 4(r3) \n\t" \ 428 "mullw r8, r7, r6 \n\t" \ 429 "mulhwu r9, r7, r6 \n\t" \ 430 "adde r8, r8, r5 \n\t" \ 431 "lwz r7, 4(r4) \n\t" \ 432 "addze r5, r9 \n\t" \ 433 "addc r8, r8, r7 \n\t" \ 434 "stwu r8, 4(r4) \n\t" 435 436 #define MULADDC_STOP \ 437 "addze r5, r5 \n\t" \ 438 "addi r4, r4, 4 \n\t" \ 439 "addi r3, r3, 4 \n\t" \ 440 "stw r5, %0 \n\t" \ 441 "stw r4, %1 \n\t" \ 442 "stw r3, %2 \n\t" \ 443 : "=m" (c), "=m" (d), "=m" (s) \ 444 : "m" (s), "m" (d), "m" (c), "m" (b) \ 445 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 446 ); 447 448 #else /* __MACH__ && __APPLE__ */ 449 450 #define MULADDC_INIT \ 451 asm( \ 452 "lwz %%r3, %3 \n\t" \ 453 "lwz %%r4, %4 \n\t" \ 454 "lwz %%r5, %5 \n\t" \ 455 "lwz %%r6, %6 \n\t" \ 456 "addi %%r3, %%r3, -4 \n\t" \ 457 "addi %%r4, %%r4, -4 \n\t" \ 458 "addic %%r5, %%r5, 0 \n\t" 459 460 #define MULADDC_CORE \ 461 "lwzu %%r7, 4(%%r3) \n\t" \ 462 "mullw %%r8, %%r7, %%r6 \n\t" \ 463 "mulhwu %%r9, %%r7, %%r6 \n\t" \ 464 "adde %%r8, %%r8, %%r5 \n\t" \ 465 "lwz %%r7, 4(%%r4) \n\t" \ 466 "addze %%r5, %%r9 \n\t" \ 467 "addc %%r8, %%r8, %%r7 \n\t" \ 468 "stwu %%r8, 4(%%r4) \n\t" 469 470 #define MULADDC_STOP \ 471 "addze %%r5, %%r5 \n\t" \ 472 "addi %%r4, %%r4, 4 \n\t" \ 473 "addi %%r3, %%r3, 4 \n\t" \ 474 "stw %%r5, %0 \n\t" \ 475 "stw %%r4, %1 \n\t" \ 476 "stw %%r3, %2 \n\t" \ 477 : "=m" (c), "=m" (d), "=m" (s) \ 478 : "m" (s), "m" (d), "m" (c), "m" (b) \ 479 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 480 ); 481 482 #endif /* __MACH__ && __APPLE__ */ 483 484 #endif /* PPC32 */ 485 486 /* 487 * The Sparc(64) assembly is reported to be broken. 488 * Disable it for now, until we're able to fix it. 489 */ 490 #if 0 && defined(__sparc__) 491 #if defined(__sparc64__) 492 493 #define MULADDC_INIT \ 494 asm( \ 495 "ldx %3, %%o0 \n\t" \ 496 "ldx %4, %%o1 \n\t" \ 497 "ld %5, %%o2 \n\t" \ 498 "ld %6, %%o3 \n\t" 499 500 #define MULADDC_CORE \ 501 "ld [%%o0], %%o4 \n\t" \ 502 "inc 4, %%o0 \n\t" \ 503 "ld [%%o1], %%o5 \n\t" \ 504 "umul %%o3, %%o4, %%o4 \n\t" \ 505 "addcc %%o4, %%o2, %%o4 \n\t" \ 506 "rd %%y, %%g1 \n\t" \ 507 "addx %%g1, 0, %%g1 \n\t" \ 508 "addcc %%o4, %%o5, %%o4 \n\t" \ 509 "st %%o4, [%%o1] \n\t" \ 510 "addx %%g1, 0, %%o2 \n\t" \ 511 "inc 4, %%o1 \n\t" 512 513 #define MULADDC_STOP \ 514 "st %%o2, %0 \n\t" \ 515 "stx %%o1, %1 \n\t" \ 516 "stx %%o0, %2 \n\t" \ 517 : "=m" (c), "=m" (d), "=m" (s) \ 518 : "m" (s), "m" (d), "m" (c), "m" (b) \ 519 : "g1", "o0", "o1", "o2", "o3", "o4", \ 520 "o5" \ 521 ); 522 523 #else /* __sparc64__ */ 524 525 #define MULADDC_INIT \ 526 asm( \ 527 "ld %3, %%o0 \n\t" \ 528 "ld %4, %%o1 \n\t" \ 529 "ld %5, %%o2 \n\t" \ 530 "ld %6, %%o3 \n\t" 531 532 #define MULADDC_CORE \ 533 "ld [%%o0], %%o4 \n\t" \ 534 "inc 4, %%o0 \n\t" \ 535 "ld [%%o1], %%o5 \n\t" \ 536 "umul %%o3, %%o4, %%o4 \n\t" \ 537 "addcc %%o4, %%o2, %%o4 \n\t" \ 538 "rd %%y, %%g1 \n\t" \ 539 "addx %%g1, 0, %%g1 \n\t" \ 540 "addcc %%o4, %%o5, %%o4 \n\t" \ 541 "st %%o4, [%%o1] \n\t" \ 542 "addx %%g1, 0, %%o2 \n\t" \ 543 "inc 4, %%o1 \n\t" 544 545 #define MULADDC_STOP \ 546 "st %%o2, %0 \n\t" \ 547 "st %%o1, %1 \n\t" \ 548 "st %%o0, %2 \n\t" \ 549 : "=m" (c), "=m" (d), "=m" (s) \ 550 : "m" (s), "m" (d), "m" (c), "m" (b) \ 551 : "g1", "o0", "o1", "o2", "o3", "o4", \ 552 "o5" \ 553 ); 554 555 #endif /* __sparc64__ */ 556 #endif /* __sparc__ */ 557 558 #if defined(__microblaze__) || defined(microblaze) 559 560 #define MULADDC_INIT \ 561 asm( \ 562 "lwi r3, %3 \n\t" \ 563 "lwi r4, %4 \n\t" \ 564 "lwi r5, %5 \n\t" \ 565 "lwi r6, %6 \n\t" \ 566 "andi r7, r6, 0xffff \n\t" \ 567 "bsrli r6, r6, 16 \n\t" 568 569 #define MULADDC_CORE \ 570 "lhui r8, r3, 0 \n\t" \ 571 "addi r3, r3, 2 \n\t" \ 572 "lhui r9, r3, 0 \n\t" \ 573 "addi r3, r3, 2 \n\t" \ 574 "mul r10, r9, r6 \n\t" \ 575 "mul r11, r8, r7 \n\t" \ 576 "mul r12, r9, r7 \n\t" \ 577 "mul r13, r8, r6 \n\t" \ 578 "bsrli r8, r10, 16 \n\t" \ 579 "bsrli r9, r11, 16 \n\t" \ 580 "add r13, r13, r8 \n\t" \ 581 "add r13, r13, r9 \n\t" \ 582 "bslli r10, r10, 16 \n\t" \ 583 "bslli r11, r11, 16 \n\t" \ 584 "add r12, r12, r10 \n\t" \ 585 "addc r13, r13, r0 \n\t" \ 586 "add r12, r12, r11 \n\t" \ 587 "addc r13, r13, r0 \n\t" \ 588 "lwi r10, r4, 0 \n\t" \ 589 "add r12, r12, r10 \n\t" \ 590 "addc r13, r13, r0 \n\t" \ 591 "add r12, r12, r5 \n\t" \ 592 "addc r5, r13, r0 \n\t" \ 593 "swi r12, r4, 0 \n\t" \ 594 "addi r4, r4, 4 \n\t" 595 596 #define MULADDC_STOP \ 597 "swi r5, %0 \n\t" \ 598 "swi r4, %1 \n\t" \ 599 "swi r3, %2 \n\t" \ 600 : "=m" (c), "=m" (d), "=m" (s) \ 601 : "m" (s), "m" (d), "m" (c), "m" (b) \ 602 : "r3", "r4", "r5", "r6", "r7", "r8", \ 603 "r9", "r10", "r11", "r12", "r13" \ 604 ); 605 606 #endif /* MicroBlaze */ 607 608 #if defined(__tricore__) 609 610 #define MULADDC_INIT \ 611 asm( \ 612 "ld.a %%a2, %3 \n\t" \ 613 "ld.a %%a3, %4 \n\t" \ 614 "ld.w %%d4, %5 \n\t" \ 615 "ld.w %%d1, %6 \n\t" \ 616 "xor %%d5, %%d5 \n\t" 617 618 #define MULADDC_CORE \ 619 "ld.w %%d0, [%%a2+] \n\t" \ 620 "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \ 621 "ld.w %%d0, [%%a3] \n\t" \ 622 "addx %%d2, %%d2, %%d0 \n\t" \ 623 "addc %%d3, %%d3, 0 \n\t" \ 624 "mov %%d4, %%d3 \n\t" \ 625 "st.w [%%a3+], %%d2 \n\t" 626 627 #define MULADDC_STOP \ 628 "st.w %0, %%d4 \n\t" \ 629 "st.a %1, %%a3 \n\t" \ 630 "st.a %2, %%a2 \n\t" \ 631 : "=m" (c), "=m" (d), "=m" (s) \ 632 : "m" (s), "m" (d), "m" (c), "m" (b) \ 633 : "d0", "d1", "e2", "d4", "a2", "a3" \ 634 ); 635 636 #endif /* TriCore */ 637 638 /* 639 * Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about 640 * our use of r7 below, unless -fomit-frame-pointer is passed. 641 * 642 * On the other hand, -fomit-frame-pointer is implied by any -Ox options with 643 * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by 644 * clang and armcc5 under the same conditions). 645 * 646 * So, only use the optimized assembly below for optimized build, which avoids 647 * the build error and is pretty reasonable anyway. 648 */ 649 #if defined(__GNUC__) && !defined(__OPTIMIZE__) 650 #define MULADDC_CANNOT_USE_R7 651 #endif 652 653 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7) 654 655 #if defined(__thumb__) && !defined(__thumb2__) 656 657 #define MULADDC_INIT \ 658 asm( \ 659 "ldr r0, %3 \n\t" \ 660 "ldr r1, %4 \n\t" \ 661 "ldr r2, %5 \n\t" \ 662 "ldr r3, %6 \n\t" \ 663 "lsr r7, r3, #16 \n\t" \ 664 "mov r9, r7 \n\t" \ 665 "lsl r7, r3, #16 \n\t" \ 666 "lsr r7, r7, #16 \n\t" \ 667 "mov r8, r7 \n\t" 668 669 #define MULADDC_CORE \ 670 "ldmia r0!, {r6} \n\t" \ 671 "lsr r7, r6, #16 \n\t" \ 672 "lsl r6, r6, #16 \n\t" \ 673 "lsr r6, r6, #16 \n\t" \ 674 "mov r4, r8 \n\t" \ 675 "mul r4, r6 \n\t" \ 676 "mov r3, r9 \n\t" \ 677 "mul r6, r3 \n\t" \ 678 "mov r5, r9 \n\t" \ 679 "mul r5, r7 \n\t" \ 680 "mov r3, r8 \n\t" \ 681 "mul r7, r3 \n\t" \ 682 "lsr r3, r6, #16 \n\t" \ 683 "add r5, r5, r3 \n\t" \ 684 "lsr r3, r7, #16 \n\t" \ 685 "add r5, r5, r3 \n\t" \ 686 "add r4, r4, r2 \n\t" \ 687 "mov r2, #0 \n\t" \ 688 "adc r5, r2 \n\t" \ 689 "lsl r3, r6, #16 \n\t" \ 690 "add r4, r4, r3 \n\t" \ 691 "adc r5, r2 \n\t" \ 692 "lsl r3, r7, #16 \n\t" \ 693 "add r4, r4, r3 \n\t" \ 694 "adc r5, r2 \n\t" \ 695 "ldr r3, [r1] \n\t" \ 696 "add r4, r4, r3 \n\t" \ 697 "adc r2, r5 \n\t" \ 698 "stmia r1!, {r4} \n\t" 699 700 #define MULADDC_STOP \ 701 "str r2, %0 \n\t" \ 702 "str r1, %1 \n\t" \ 703 "str r0, %2 \n\t" \ 704 : "=m" (c), "=m" (d), "=m" (s) \ 705 : "m" (s), "m" (d), "m" (c), "m" (b) \ 706 : "r0", "r1", "r2", "r3", "r4", "r5", \ 707 "r6", "r7", "r8", "r9", "cc" \ 708 ); 709 710 #elif (__ARM_ARCH >= 6) && \ 711 defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1) 712 713 #define MULADDC_INIT \ 714 asm( 715 716 #define MULADDC_CORE \ 717 "ldr r0, [%0], #4 \n\t" \ 718 "ldr r1, [%1] \n\t" \ 719 "umaal r1, %2, %3, r0 \n\t" \ 720 "str r1, [%1], #4 \n\t" 721 722 #define MULADDC_STOP \ 723 : "=r" (s), "=r" (d), "=r" (c) \ 724 : "r" (b), "0" (s), "1" (d), "2" (c) \ 725 : "r0", "r1", "memory" \ 726 ); 727 728 #else 729 730 #define MULADDC_INIT \ 731 asm( \ 732 "ldr r0, %3 \n\t" \ 733 "ldr r1, %4 \n\t" \ 734 "ldr r2, %5 \n\t" \ 735 "ldr r3, %6 \n\t" 736 737 #define MULADDC_CORE \ 738 "ldr r4, [r0], #4 \n\t" \ 739 "mov r5, #0 \n\t" \ 740 "ldr r6, [r1] \n\t" \ 741 "umlal r2, r5, r3, r4 \n\t" \ 742 "adds r7, r6, r2 \n\t" \ 743 "adc r2, r5, #0 \n\t" \ 744 "str r7, [r1], #4 \n\t" 745 746 #define MULADDC_STOP \ 747 "str r2, %0 \n\t" \ 748 "str r1, %1 \n\t" \ 749 "str r0, %2 \n\t" \ 750 : "=m" (c), "=m" (d), "=m" (s) \ 751 : "m" (s), "m" (d), "m" (c), "m" (b) \ 752 : "r0", "r1", "r2", "r3", "r4", "r5", \ 753 "r6", "r7", "cc" \ 754 ); 755 756 #endif /* Thumb */ 757 758 #endif /* ARMv3 */ 759 760 #if defined(__alpha__) 761 762 #define MULADDC_INIT \ 763 asm( \ 764 "ldq $1, %3 \n\t" \ 765 "ldq $2, %4 \n\t" \ 766 "ldq $3, %5 \n\t" \ 767 "ldq $4, %6 \n\t" 768 769 #define MULADDC_CORE \ 770 "ldq $6, 0($1) \n\t" \ 771 "addq $1, 8, $1 \n\t" \ 772 "mulq $6, $4, $7 \n\t" \ 773 "umulh $6, $4, $6 \n\t" \ 774 "addq $7, $3, $7 \n\t" \ 775 "cmpult $7, $3, $3 \n\t" \ 776 "ldq $5, 0($2) \n\t" \ 777 "addq $7, $5, $7 \n\t" \ 778 "cmpult $7, $5, $5 \n\t" \ 779 "stq $7, 0($2) \n\t" \ 780 "addq $2, 8, $2 \n\t" \ 781 "addq $6, $3, $3 \n\t" \ 782 "addq $5, $3, $3 \n\t" 783 784 #define MULADDC_STOP \ 785 "stq $3, %0 \n\t" \ 786 "stq $2, %1 \n\t" \ 787 "stq $1, %2 \n\t" \ 788 : "=m" (c), "=m" (d), "=m" (s) \ 789 : "m" (s), "m" (d), "m" (c), "m" (b) \ 790 : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \ 791 ); 792 #endif /* Alpha */ 793 794 #if defined(__mips__) && !defined(__mips64) 795 796 #define MULADDC_INIT \ 797 asm( \ 798 "lw $10, %3 \n\t" \ 799 "lw $11, %4 \n\t" \ 800 "lw $12, %5 \n\t" \ 801 "lw $13, %6 \n\t" 802 803 #define MULADDC_CORE \ 804 "lw $14, 0($10) \n\t" \ 805 "multu $13, $14 \n\t" \ 806 "addi $10, $10, 4 \n\t" \ 807 "mflo $14 \n\t" \ 808 "mfhi $9 \n\t" \ 809 "addu $14, $12, $14 \n\t" \ 810 "lw $15, 0($11) \n\t" \ 811 "sltu $12, $14, $12 \n\t" \ 812 "addu $15, $14, $15 \n\t" \ 813 "sltu $14, $15, $14 \n\t" \ 814 "addu $12, $12, $9 \n\t" \ 815 "sw $15, 0($11) \n\t" \ 816 "addu $12, $12, $14 \n\t" \ 817 "addi $11, $11, 4 \n\t" 818 819 #define MULADDC_STOP \ 820 "sw $12, %0 \n\t" \ 821 "sw $11, %1 \n\t" \ 822 "sw $10, %2 \n\t" \ 823 : "=m" (c), "=m" (d), "=m" (s) \ 824 : "m" (s), "m" (d), "m" (c), "m" (b) \ 825 : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \ 826 ); 827 828 #endif /* MIPS */ 829 #endif /* GNUC */ 830 831 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__) 832 833 #define MULADDC_INIT \ 834 __asm mov esi, s \ 835 __asm mov edi, d \ 836 __asm mov ecx, c \ 837 __asm mov ebx, b 838 839 #define MULADDC_CORE \ 840 __asm lodsd \ 841 __asm mul ebx \ 842 __asm add eax, ecx \ 843 __asm adc edx, 0 \ 844 __asm add eax, [edi] \ 845 __asm adc edx, 0 \ 846 __asm mov ecx, edx \ 847 __asm stosd 848 849 #if defined(MBEDTLS_HAVE_SSE2) 850 851 #define EMIT __asm _emit 852 853 #define MULADDC_HUIT \ 854 EMIT 0x0F EMIT 0x6E EMIT 0xC9 \ 855 EMIT 0x0F EMIT 0x6E EMIT 0xC3 \ 856 EMIT 0x0F EMIT 0x6E EMIT 0x1F \ 857 EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ 858 EMIT 0x0F EMIT 0x6E EMIT 0x16 \ 859 EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \ 860 EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \ 861 EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \ 862 EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \ 863 EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \ 864 EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \ 865 EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \ 866 EMIT 0x0F EMIT 0xD4 EMIT 0xCA \ 867 EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \ 868 EMIT 0x0F EMIT 0xD4 EMIT 0xDC \ 869 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \ 870 EMIT 0x0F EMIT 0xD4 EMIT 0xEE \ 871 EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \ 872 EMIT 0x0F EMIT 0xD4 EMIT 0xFC \ 873 EMIT 0x0F EMIT 0x7E EMIT 0x0F \ 874 EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \ 875 EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \ 876 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 877 EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \ 878 EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \ 879 EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ 880 EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \ 881 EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \ 882 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \ 883 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 884 EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \ 885 EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \ 886 EMIT 0x0F EMIT 0xD4 EMIT 0xCD \ 887 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \ 888 EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \ 889 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \ 890 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 891 EMIT 0x0F EMIT 0xD4 EMIT 0xCF \ 892 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \ 893 EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \ 894 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \ 895 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 896 EMIT 0x0F EMIT 0xD4 EMIT 0xCA \ 897 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \ 898 EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \ 899 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \ 900 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 901 EMIT 0x0F EMIT 0xD4 EMIT 0xCC \ 902 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \ 903 EMIT 0x0F EMIT 0xD4 EMIT 0xDD \ 904 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \ 905 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 906 EMIT 0x0F EMIT 0xD4 EMIT 0xCE \ 907 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \ 908 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 909 EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ 910 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \ 911 EMIT 0x83 EMIT 0xC7 EMIT 0x20 \ 912 EMIT 0x83 EMIT 0xC6 EMIT 0x20 \ 913 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 914 EMIT 0x0F EMIT 0x7E EMIT 0xC9 915 916 #define MULADDC_STOP \ 917 EMIT 0x0F EMIT 0x77 \ 918 __asm mov c, ecx \ 919 __asm mov d, edi \ 920 __asm mov s, esi \ 921 922 #else 923 924 #define MULADDC_STOP \ 925 __asm mov c, ecx \ 926 __asm mov d, edi \ 927 __asm mov s, esi \ 928 929 #endif /* SSE2 */ 930 #endif /* MSVC */ 931 932 #endif /* MBEDTLS_HAVE_ASM */ 933 934 #if !defined(MULADDC_CORE) 935 #if defined(MBEDTLS_HAVE_UDBL) 936 937 #define MULADDC_INIT \ 938 { \ 939 mbedtls_t_udbl r; \ 940 mbedtls_mpi_uint r0, r1; 941 942 #define MULADDC_CORE \ 943 r = *(s++) * (mbedtls_t_udbl) b; \ 944 r0 = (mbedtls_mpi_uint) r; \ 945 r1 = (mbedtls_mpi_uint)( r >> biL ); \ 946 r0 += c; r1 += (r0 < c); \ 947 r0 += *d; r1 += (r0 < *d); \ 948 c = r1; *(d++) = r0; 949 950 #define MULADDC_STOP \ 951 } 952 953 #else 954 #define MULADDC_INIT \ 955 { \ 956 mbedtls_mpi_uint s0, s1, b0, b1; \ 957 mbedtls_mpi_uint r0, r1, rx, ry; \ 958 b0 = ( b << biH ) >> biH; \ 959 b1 = ( b >> biH ); 960 961 #define MULADDC_CORE \ 962 s0 = ( *s << biH ) >> biH; \ 963 s1 = ( *s >> biH ); s++; \ 964 rx = s0 * b1; r0 = s0 * b0; \ 965 ry = s1 * b0; r1 = s1 * b1; \ 966 r1 += ( rx >> biH ); \ 967 r1 += ( ry >> biH ); \ 968 rx <<= biH; ry <<= biH; \ 969 r0 += rx; r1 += (r0 < rx); \ 970 r0 += ry; r1 += (r0 < ry); \ 971 r0 += c; r1 += (r0 < c); \ 972 r0 += *d; r1 += (r0 < *d); \ 973 c = r1; *(d++) = r0; 974 975 #define MULADDC_STOP \ 976 } 977 978 #endif /* C (generic) */ 979 #endif /* C (longlong) */ 980 981 #endif /* bn_mul.h */ 982