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bn_mul.h
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00001 /** 00002 * \file bn_mul.h 00003 * 00004 * \brief Multi-precision integer library 00005 */ 00006 /* 00007 * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved 00008 * SPDX-License-Identifier: Apache-2.0 00009 * 00010 * Licensed under the Apache License, Version 2.0 (the "License"); you may 00011 * not use this file except in compliance with the License. 00012 * You may obtain a copy of the License at 00013 * 00014 * http://www.apache.org/licenses/LICENSE-2.0 00015 * 00016 * Unless required by applicable law or agreed to in writing, software 00017 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT 00018 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. 00019 * See the License for the specific language governing permissions and 00020 * limitations under the License. 00021 * 00022 * This file is part of mbed TLS (https://tls.mbed.org) 00023 */ 00024 /* 00025 * Multiply source vector [s] with b, add result 00026 * to destination vector [d] and set carry c. 00027 * 00028 * Currently supports: 00029 * 00030 * . IA-32 (386+) . AMD64 / EM64T 00031 * . IA-32 (SSE2) . Motorola 68000 00032 * . PowerPC, 32-bit . MicroBlaze 00033 * . PowerPC, 64-bit . TriCore 00034 * . SPARC v8 . ARM v3+ 00035 * . Alpha . MIPS32 00036 * . C, longlong . C, generic 00037 */ 00038 #ifndef MBEDTLS_BN_MUL_H 00039 #define MBEDTLS_BN_MUL_H 00040 00041 #include "bignum.h" 00042 00043 #if defined(MBEDTLS_HAVE_ASM) 00044 00045 #ifndef asm 00046 #define asm __asm 00047 #endif 00048 00049 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */ 00050 #if defined(__GNUC__) && \ 00051 ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 ) 00052 #if defined(__i386__) 00053 00054 #define MULADDC_INIT \ 00055 asm( \ 00056 "movl %%ebx, %0 \n\t" \ 00057 "movl %5, %%esi \n\t" \ 00058 "movl %6, %%edi \n\t" \ 00059 "movl %7, %%ecx \n\t" \ 00060 "movl %8, %%ebx \n\t" 00061 00062 #define MULADDC_CORE \ 00063 "lodsl \n\t" \ 00064 "mull %%ebx \n\t" \ 00065 "addl %%ecx, %%eax \n\t" \ 00066 "adcl $0, %%edx \n\t" \ 00067 "addl (%%edi), %%eax \n\t" \ 00068 "adcl $0, %%edx \n\t" \ 00069 "movl %%edx, %%ecx \n\t" \ 00070 "stosl \n\t" 00071 00072 #if defined(MBEDTLS_HAVE_SSE2) 00073 00074 #define MULADDC_HUIT \ 00075 "movd %%ecx, %%mm1 \n\t" \ 00076 "movd %%ebx, %%mm0 \n\t" \ 00077 "movd (%%edi), %%mm3 \n\t" \ 00078 "paddq %%mm3, %%mm1 \n\t" \ 00079 "movd (%%esi), %%mm2 \n\t" \ 00080 "pmuludq %%mm0, %%mm2 \n\t" \ 00081 "movd 4(%%esi), %%mm4 \n\t" \ 00082 "pmuludq %%mm0, %%mm4 \n\t" \ 00083 "movd 8(%%esi), %%mm6 \n\t" \ 00084 "pmuludq %%mm0, %%mm6 \n\t" \ 00085 "movd 12(%%esi), %%mm7 \n\t" \ 00086 "pmuludq %%mm0, %%mm7 \n\t" \ 00087 "paddq %%mm2, %%mm1 \n\t" \ 00088 "movd 4(%%edi), %%mm3 \n\t" \ 00089 "paddq %%mm4, %%mm3 \n\t" \ 00090 "movd 8(%%edi), %%mm5 \n\t" \ 00091 "paddq %%mm6, %%mm5 \n\t" \ 00092 "movd 12(%%edi), %%mm4 \n\t" \ 00093 "paddq %%mm4, %%mm7 \n\t" \ 00094 "movd %%mm1, (%%edi) \n\t" \ 00095 "movd 16(%%esi), %%mm2 \n\t" \ 00096 "pmuludq %%mm0, %%mm2 \n\t" \ 00097 "psrlq $32, %%mm1 \n\t" \ 00098 "movd 20(%%esi), %%mm4 \n\t" \ 00099 "pmuludq %%mm0, %%mm4 \n\t" \ 00100 "paddq %%mm3, %%mm1 \n\t" \ 00101 "movd 24(%%esi), %%mm6 \n\t" \ 00102 "pmuludq %%mm0, %%mm6 \n\t" \ 00103 "movd %%mm1, 4(%%edi) \n\t" \ 00104 "psrlq $32, %%mm1 \n\t" \ 00105 "movd 28(%%esi), %%mm3 \n\t" \ 00106 "pmuludq %%mm0, %%mm3 \n\t" \ 00107 "paddq %%mm5, %%mm1 \n\t" \ 00108 "movd 16(%%edi), %%mm5 \n\t" \ 00109 "paddq %%mm5, %%mm2 \n\t" \ 00110 "movd %%mm1, 8(%%edi) \n\t" \ 00111 "psrlq $32, %%mm1 \n\t" \ 00112 "paddq %%mm7, %%mm1 \n\t" \ 00113 "movd 20(%%edi), %%mm5 \n\t" \ 00114 "paddq %%mm5, %%mm4 \n\t" \ 00115 "movd %%mm1, 12(%%edi) \n\t" \ 00116 "psrlq $32, %%mm1 \n\t" \ 00117 "paddq %%mm2, %%mm1 \n\t" \ 00118 "movd 24(%%edi), %%mm5 \n\t" \ 00119 "paddq %%mm5, %%mm6 \n\t" \ 00120 "movd %%mm1, 16(%%edi) \n\t" \ 00121 "psrlq $32, %%mm1 \n\t" \ 00122 "paddq %%mm4, %%mm1 \n\t" \ 00123 "movd 28(%%edi), %%mm5 \n\t" \ 00124 "paddq %%mm5, %%mm3 \n\t" \ 00125 "movd %%mm1, 20(%%edi) \n\t" \ 00126 "psrlq $32, %%mm1 \n\t" \ 00127 "paddq %%mm6, %%mm1 \n\t" \ 00128 "movd %%mm1, 24(%%edi) \n\t" \ 00129 "psrlq $32, %%mm1 \n\t" \ 00130 "paddq %%mm3, %%mm1 \n\t" \ 00131 "movd %%mm1, 28(%%edi) \n\t" \ 00132 "addl $32, %%edi \n\t" \ 00133 "addl $32, %%esi \n\t" \ 00134 "psrlq $32, %%mm1 \n\t" \ 00135 "movd %%mm1, %%ecx \n\t" 00136 00137 #define MULADDC_STOP \ 00138 "emms \n\t" \ 00139 "movl %4, %%ebx \n\t" \ 00140 "movl %%ecx, %1 \n\t" \ 00141 "movl %%edi, %2 \n\t" \ 00142 "movl %%esi, %3 \n\t" \ 00143 : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \ 00144 : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \ 00145 : "eax", "ecx", "edx", "esi", "edi" \ 00146 ); 00147 00148 #else 00149 00150 #define MULADDC_STOP \ 00151 "movl %4, %%ebx \n\t" \ 00152 "movl %%ecx, %1 \n\t" \ 00153 "movl %%edi, %2 \n\t" \ 00154 "movl %%esi, %3 \n\t" \ 00155 : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \ 00156 : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \ 00157 : "eax", "ecx", "edx", "esi", "edi" \ 00158 ); 00159 #endif /* SSE2 */ 00160 #endif /* i386 */ 00161 00162 #if defined(__amd64__) || defined (__x86_64__) 00163 00164 #define MULADDC_INIT \ 00165 asm( \ 00166 "xorq %%r8, %%r8 \n\t" 00167 00168 #define MULADDC_CORE \ 00169 "movq (%%rsi), %%rax \n\t" \ 00170 "mulq %%rbx \n\t" \ 00171 "addq $8, %%rsi \n\t" \ 00172 "addq %%rcx, %%rax \n\t" \ 00173 "movq %%r8, %%rcx \n\t" \ 00174 "adcq $0, %%rdx \n\t" \ 00175 "nop \n\t" \ 00176 "addq %%rax, (%%rdi) \n\t" \ 00177 "adcq %%rdx, %%rcx \n\t" \ 00178 "addq $8, %%rdi \n\t" 00179 00180 #define MULADDC_STOP \ 00181 : "+c" (c), "+D" (d), "+S" (s) \ 00182 : "b" (b) \ 00183 : "rax", "rdx", "r8" \ 00184 ); 00185 00186 #endif /* AMD64 */ 00187 00188 #if defined(__mc68020__) || defined(__mcpu32__) 00189 00190 #define MULADDC_INIT \ 00191 asm( \ 00192 "movl %3, %%a2 \n\t" \ 00193 "movl %4, %%a3 \n\t" \ 00194 "movl %5, %%d3 \n\t" \ 00195 "movl %6, %%d2 \n\t" \ 00196 "moveq #0, %%d0 \n\t" 00197 00198 #define MULADDC_CORE \ 00199 "movel %%a2@+, %%d1 \n\t" \ 00200 "mulul %%d2, %%d4:%%d1 \n\t" \ 00201 "addl %%d3, %%d1 \n\t" \ 00202 "addxl %%d0, %%d4 \n\t" \ 00203 "moveq #0, %%d3 \n\t" \ 00204 "addl %%d1, %%a3@+ \n\t" \ 00205 "addxl %%d4, %%d3 \n\t" 00206 00207 #define MULADDC_STOP \ 00208 "movl %%d3, %0 \n\t" \ 00209 "movl %%a3, %1 \n\t" \ 00210 "movl %%a2, %2 \n\t" \ 00211 : "=m" (c), "=m" (d), "=m" (s) \ 00212 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00213 : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \ 00214 ); 00215 00216 #define MULADDC_HUIT \ 00217 "movel %%a2@+, %%d1 \n\t" \ 00218 "mulul %%d2, %%d4:%%d1 \n\t" \ 00219 "addxl %%d3, %%d1 \n\t" \ 00220 "addxl %%d0, %%d4 \n\t" \ 00221 "addl %%d1, %%a3@+ \n\t" \ 00222 "movel %%a2@+, %%d1 \n\t" \ 00223 "mulul %%d2, %%d3:%%d1 \n\t" \ 00224 "addxl %%d4, %%d1 \n\t" \ 00225 "addxl %%d0, %%d3 \n\t" \ 00226 "addl %%d1, %%a3@+ \n\t" \ 00227 "movel %%a2@+, %%d1 \n\t" \ 00228 "mulul %%d2, %%d4:%%d1 \n\t" \ 00229 "addxl %%d3, %%d1 \n\t" \ 00230 "addxl %%d0, %%d4 \n\t" \ 00231 "addl %%d1, %%a3@+ \n\t" \ 00232 "movel %%a2@+, %%d1 \n\t" \ 00233 "mulul %%d2, %%d3:%%d1 \n\t" \ 00234 "addxl %%d4, %%d1 \n\t" \ 00235 "addxl %%d0, %%d3 \n\t" \ 00236 "addl %%d1, %%a3@+ \n\t" \ 00237 "movel %%a2@+, %%d1 \n\t" \ 00238 "mulul %%d2, %%d4:%%d1 \n\t" \ 00239 "addxl %%d3, %%d1 \n\t" \ 00240 "addxl %%d0, %%d4 \n\t" \ 00241 "addl %%d1, %%a3@+ \n\t" \ 00242 "movel %%a2@+, %%d1 \n\t" \ 00243 "mulul %%d2, %%d3:%%d1 \n\t" \ 00244 "addxl %%d4, %%d1 \n\t" \ 00245 "addxl %%d0, %%d3 \n\t" \ 00246 "addl %%d1, %%a3@+ \n\t" \ 00247 "movel %%a2@+, %%d1 \n\t" \ 00248 "mulul %%d2, %%d4:%%d1 \n\t" \ 00249 "addxl %%d3, %%d1 \n\t" \ 00250 "addxl %%d0, %%d4 \n\t" \ 00251 "addl %%d1, %%a3@+ \n\t" \ 00252 "movel %%a2@+, %%d1 \n\t" \ 00253 "mulul %%d2, %%d3:%%d1 \n\t" \ 00254 "addxl %%d4, %%d1 \n\t" \ 00255 "addxl %%d0, %%d3 \n\t" \ 00256 "addl %%d1, %%a3@+ \n\t" \ 00257 "addxl %%d0, %%d3 \n\t" 00258 00259 #endif /* MC68000 */ 00260 00261 #if defined(__powerpc64__) || defined(__ppc64__) 00262 00263 #if defined(__MACH__) && defined(__APPLE__) 00264 00265 #define MULADDC_INIT \ 00266 asm( \ 00267 "ld r3, %3 \n\t" \ 00268 "ld r4, %4 \n\t" \ 00269 "ld r5, %5 \n\t" \ 00270 "ld r6, %6 \n\t" \ 00271 "addi r3, r3, -8 \n\t" \ 00272 "addi r4, r4, -8 \n\t" \ 00273 "addic r5, r5, 0 \n\t" 00274 00275 #define MULADDC_CORE \ 00276 "ldu r7, 8(r3) \n\t" \ 00277 "mulld r8, r7, r6 \n\t" \ 00278 "mulhdu r9, r7, r6 \n\t" \ 00279 "adde r8, r8, r5 \n\t" \ 00280 "ld r7, 8(r4) \n\t" \ 00281 "addze r5, r9 \n\t" \ 00282 "addc r8, r8, r7 \n\t" \ 00283 "stdu r8, 8(r4) \n\t" 00284 00285 #define MULADDC_STOP \ 00286 "addze r5, r5 \n\t" \ 00287 "addi r4, r4, 8 \n\t" \ 00288 "addi r3, r3, 8 \n\t" \ 00289 "std r5, %0 \n\t" \ 00290 "std r4, %1 \n\t" \ 00291 "std r3, %2 \n\t" \ 00292 : "=m" (c), "=m" (d), "=m" (s) \ 00293 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00294 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 00295 ); 00296 00297 00298 #else /* __MACH__ && __APPLE__ */ 00299 00300 #define MULADDC_INIT \ 00301 asm( \ 00302 "ld %%r3, %3 \n\t" \ 00303 "ld %%r4, %4 \n\t" \ 00304 "ld %%r5, %5 \n\t" \ 00305 "ld %%r6, %6 \n\t" \ 00306 "addi %%r3, %%r3, -8 \n\t" \ 00307 "addi %%r4, %%r4, -8 \n\t" \ 00308 "addic %%r5, %%r5, 0 \n\t" 00309 00310 #define MULADDC_CORE \ 00311 "ldu %%r7, 8(%%r3) \n\t" \ 00312 "mulld %%r8, %%r7, %%r6 \n\t" \ 00313 "mulhdu %%r9, %%r7, %%r6 \n\t" \ 00314 "adde %%r8, %%r8, %%r5 \n\t" \ 00315 "ld %%r7, 8(%%r4) \n\t" \ 00316 "addze %%r5, %%r9 \n\t" \ 00317 "addc %%r8, %%r8, %%r7 \n\t" \ 00318 "stdu %%r8, 8(%%r4) \n\t" 00319 00320 #define MULADDC_STOP \ 00321 "addze %%r5, %%r5 \n\t" \ 00322 "addi %%r4, %%r4, 8 \n\t" \ 00323 "addi %%r3, %%r3, 8 \n\t" \ 00324 "std %%r5, %0 \n\t" \ 00325 "std %%r4, %1 \n\t" \ 00326 "std %%r3, %2 \n\t" \ 00327 : "=m" (c), "=m" (d), "=m" (s) \ 00328 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00329 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 00330 ); 00331 00332 #endif /* __MACH__ && __APPLE__ */ 00333 00334 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */ 00335 00336 #if defined(__MACH__) && defined(__APPLE__) 00337 00338 #define MULADDC_INIT \ 00339 asm( \ 00340 "lwz r3, %3 \n\t" \ 00341 "lwz r4, %4 \n\t" \ 00342 "lwz r5, %5 \n\t" \ 00343 "lwz r6, %6 \n\t" \ 00344 "addi r3, r3, -4 \n\t" \ 00345 "addi r4, r4, -4 \n\t" \ 00346 "addic r5, r5, 0 \n\t" 00347 00348 #define MULADDC_CORE \ 00349 "lwzu r7, 4(r3) \n\t" \ 00350 "mullw r8, r7, r6 \n\t" \ 00351 "mulhwu r9, r7, r6 \n\t" \ 00352 "adde r8, r8, r5 \n\t" \ 00353 "lwz r7, 4(r4) \n\t" \ 00354 "addze r5, r9 \n\t" \ 00355 "addc r8, r8, r7 \n\t" \ 00356 "stwu r8, 4(r4) \n\t" 00357 00358 #define MULADDC_STOP \ 00359 "addze r5, r5 \n\t" \ 00360 "addi r4, r4, 4 \n\t" \ 00361 "addi r3, r3, 4 \n\t" \ 00362 "stw r5, %0 \n\t" \ 00363 "stw r4, %1 \n\t" \ 00364 "stw r3, %2 \n\t" \ 00365 : "=m" (c), "=m" (d), "=m" (s) \ 00366 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00367 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 00368 ); 00369 00370 #else /* __MACH__ && __APPLE__ */ 00371 00372 #define MULADDC_INIT \ 00373 asm( \ 00374 "lwz %%r3, %3 \n\t" \ 00375 "lwz %%r4, %4 \n\t" \ 00376 "lwz %%r5, %5 \n\t" \ 00377 "lwz %%r6, %6 \n\t" \ 00378 "addi %%r3, %%r3, -4 \n\t" \ 00379 "addi %%r4, %%r4, -4 \n\t" \ 00380 "addic %%r5, %%r5, 0 \n\t" 00381 00382 #define MULADDC_CORE \ 00383 "lwzu %%r7, 4(%%r3) \n\t" \ 00384 "mullw %%r8, %%r7, %%r6 \n\t" \ 00385 "mulhwu %%r9, %%r7, %%r6 \n\t" \ 00386 "adde %%r8, %%r8, %%r5 \n\t" \ 00387 "lwz %%r7, 4(%%r4) \n\t" \ 00388 "addze %%r5, %%r9 \n\t" \ 00389 "addc %%r8, %%r8, %%r7 \n\t" \ 00390 "stwu %%r8, 4(%%r4) \n\t" 00391 00392 #define MULADDC_STOP \ 00393 "addze %%r5, %%r5 \n\t" \ 00394 "addi %%r4, %%r4, 4 \n\t" \ 00395 "addi %%r3, %%r3, 4 \n\t" \ 00396 "stw %%r5, %0 \n\t" \ 00397 "stw %%r4, %1 \n\t" \ 00398 "stw %%r3, %2 \n\t" \ 00399 : "=m" (c), "=m" (d), "=m" (s) \ 00400 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00401 : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \ 00402 ); 00403 00404 #endif /* __MACH__ && __APPLE__ */ 00405 00406 #endif /* PPC32 */ 00407 00408 /* 00409 * The Sparc(64) assembly is reported to be broken. 00410 * Disable it for now, until we're able to fix it. 00411 */ 00412 #if 0 && defined(__sparc__) 00413 #if defined(__sparc64__) 00414 00415 #define MULADDC_INIT \ 00416 asm( \ 00417 "ldx %3, %%o0 \n\t" \ 00418 "ldx %4, %%o1 \n\t" \ 00419 "ld %5, %%o2 \n\t" \ 00420 "ld %6, %%o3 \n\t" 00421 00422 #define MULADDC_CORE \ 00423 "ld [%%o0], %%o4 \n\t" \ 00424 "inc 4, %%o0 \n\t" \ 00425 "ld [%%o1], %%o5 \n\t" \ 00426 "umul %%o3, %%o4, %%o4 \n\t" \ 00427 "addcc %%o4, %%o2, %%o4 \n\t" \ 00428 "rd %%y, %%g1 \n\t" \ 00429 "addx %%g1, 0, %%g1 \n\t" \ 00430 "addcc %%o4, %%o5, %%o4 \n\t" \ 00431 "st %%o4, [%%o1] \n\t" \ 00432 "addx %%g1, 0, %%o2 \n\t" \ 00433 "inc 4, %%o1 \n\t" 00434 00435 #define MULADDC_STOP \ 00436 "st %%o2, %0 \n\t" \ 00437 "stx %%o1, %1 \n\t" \ 00438 "stx %%o0, %2 \n\t" \ 00439 : "=m" (c), "=m" (d), "=m" (s) \ 00440 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00441 : "g1", "o0", "o1", "o2", "o3", "o4", \ 00442 "o5" \ 00443 ); 00444 00445 #else /* __sparc64__ */ 00446 00447 #define MULADDC_INIT \ 00448 asm( \ 00449 "ld %3, %%o0 \n\t" \ 00450 "ld %4, %%o1 \n\t" \ 00451 "ld %5, %%o2 \n\t" \ 00452 "ld %6, %%o3 \n\t" 00453 00454 #define MULADDC_CORE \ 00455 "ld [%%o0], %%o4 \n\t" \ 00456 "inc 4, %%o0 \n\t" \ 00457 "ld [%%o1], %%o5 \n\t" \ 00458 "umul %%o3, %%o4, %%o4 \n\t" \ 00459 "addcc %%o4, %%o2, %%o4 \n\t" \ 00460 "rd %%y, %%g1 \n\t" \ 00461 "addx %%g1, 0, %%g1 \n\t" \ 00462 "addcc %%o4, %%o5, %%o4 \n\t" \ 00463 "st %%o4, [%%o1] \n\t" \ 00464 "addx %%g1, 0, %%o2 \n\t" \ 00465 "inc 4, %%o1 \n\t" 00466 00467 #define MULADDC_STOP \ 00468 "st %%o2, %0 \n\t" \ 00469 "st %%o1, %1 \n\t" \ 00470 "st %%o0, %2 \n\t" \ 00471 : "=m" (c), "=m" (d), "=m" (s) \ 00472 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00473 : "g1", "o0", "o1", "o2", "o3", "o4", \ 00474 "o5" \ 00475 ); 00476 00477 #endif /* __sparc64__ */ 00478 #endif /* __sparc__ */ 00479 00480 #if defined(__microblaze__) || defined(microblaze) 00481 00482 #define MULADDC_INIT \ 00483 asm( \ 00484 "lwi r3, %3 \n\t" \ 00485 "lwi r4, %4 \n\t" \ 00486 "lwi r5, %5 \n\t" \ 00487 "lwi r6, %6 \n\t" \ 00488 "andi r7, r6, 0xffff \n\t" \ 00489 "bsrli r6, r6, 16 \n\t" 00490 00491 #define MULADDC_CORE \ 00492 "lhui r8, r3, 0 \n\t" \ 00493 "addi r3, r3, 2 \n\t" \ 00494 "lhui r9, r3, 0 \n\t" \ 00495 "addi r3, r3, 2 \n\t" \ 00496 "mul r10, r9, r6 \n\t" \ 00497 "mul r11, r8, r7 \n\t" \ 00498 "mul r12, r9, r7 \n\t" \ 00499 "mul r13, r8, r6 \n\t" \ 00500 "bsrli r8, r10, 16 \n\t" \ 00501 "bsrli r9, r11, 16 \n\t" \ 00502 "add r13, r13, r8 \n\t" \ 00503 "add r13, r13, r9 \n\t" \ 00504 "bslli r10, r10, 16 \n\t" \ 00505 "bslli r11, r11, 16 \n\t" \ 00506 "add r12, r12, r10 \n\t" \ 00507 "addc r13, r13, r0 \n\t" \ 00508 "add r12, r12, r11 \n\t" \ 00509 "addc r13, r13, r0 \n\t" \ 00510 "lwi r10, r4, 0 \n\t" \ 00511 "add r12, r12, r10 \n\t" \ 00512 "addc r13, r13, r0 \n\t" \ 00513 "add r12, r12, r5 \n\t" \ 00514 "addc r5, r13, r0 \n\t" \ 00515 "swi r12, r4, 0 \n\t" \ 00516 "addi r4, r4, 4 \n\t" 00517 00518 #define MULADDC_STOP \ 00519 "swi r5, %0 \n\t" \ 00520 "swi r4, %1 \n\t" \ 00521 "swi r3, %2 \n\t" \ 00522 : "=m" (c), "=m" (d), "=m" (s) \ 00523 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00524 : "r3", "r4" "r5", "r6", "r7", "r8", \ 00525 "r9", "r10", "r11", "r12", "r13" \ 00526 ); 00527 00528 #endif /* MicroBlaze */ 00529 00530 #if defined(__tricore__) 00531 00532 #define MULADDC_INIT \ 00533 asm( \ 00534 "ld.a %%a2, %3 \n\t" \ 00535 "ld.a %%a3, %4 \n\t" \ 00536 "ld.w %%d4, %5 \n\t" \ 00537 "ld.w %%d1, %6 \n\t" \ 00538 "xor %%d5, %%d5 \n\t" 00539 00540 #define MULADDC_CORE \ 00541 "ld.w %%d0, [%%a2+] \n\t" \ 00542 "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \ 00543 "ld.w %%d0, [%%a3] \n\t" \ 00544 "addx %%d2, %%d2, %%d0 \n\t" \ 00545 "addc %%d3, %%d3, 0 \n\t" \ 00546 "mov %%d4, %%d3 \n\t" \ 00547 "st.w [%%a3+], %%d2 \n\t" 00548 00549 #define MULADDC_STOP \ 00550 "st.w %0, %%d4 \n\t" \ 00551 "st.a %1, %%a3 \n\t" \ 00552 "st.a %2, %%a2 \n\t" \ 00553 : "=m" (c), "=m" (d), "=m" (s) \ 00554 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00555 : "d0", "d1", "e2", "d4", "a2", "a3" \ 00556 ); 00557 00558 #endif /* TriCore */ 00559 00560 /* 00561 * gcc -O0 by default uses r7 for the frame pointer, so it complains about our 00562 * use of r7 below, unless -fomit-frame-pointer is passed. Unfortunately, 00563 * passing that option is not easy when building with yotta. 00564 * 00565 * On the other hand, -fomit-frame-pointer is implied by any -Ox options with 00566 * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by 00567 * clang and armcc5 under the same conditions). 00568 * 00569 * So, only use the optimized assembly below for optimized build, which avoids 00570 * the build error and is pretty reasonable anyway. 00571 */ 00572 #if defined(__GNUC__) && !defined(__OPTIMIZE__) 00573 #define MULADDC_CANNOT_USE_R7 00574 #endif 00575 00576 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7) 00577 00578 #if defined(__thumb__) && !defined(__thumb2__) 00579 00580 #define MULADDC_INIT \ 00581 asm( \ 00582 "ldr r0, %3 \n\t" \ 00583 "ldr r1, %4 \n\t" \ 00584 "ldr r2, %5 \n\t" \ 00585 "ldr r3, %6 \n\t" \ 00586 "lsr r7, r3, #16 \n\t" \ 00587 "mov r9, r7 \n\t" \ 00588 "lsl r7, r3, #16 \n\t" \ 00589 "lsr r7, r7, #16 \n\t" \ 00590 "mov r8, r7 \n\t" 00591 00592 #define MULADDC_CORE \ 00593 "ldmia r0!, {r6} \n\t" \ 00594 "lsr r7, r6, #16 \n\t" \ 00595 "lsl r6, r6, #16 \n\t" \ 00596 "lsr r6, r6, #16 \n\t" \ 00597 "mov r4, r8 \n\t" \ 00598 "mul r4, r6 \n\t" \ 00599 "mov r3, r9 \n\t" \ 00600 "mul r6, r3 \n\t" \ 00601 "mov r5, r9 \n\t" \ 00602 "mul r5, r7 \n\t" \ 00603 "mov r3, r8 \n\t" \ 00604 "mul r7, r3 \n\t" \ 00605 "lsr r3, r6, #16 \n\t" \ 00606 "add r5, r5, r3 \n\t" \ 00607 "lsr r3, r7, #16 \n\t" \ 00608 "add r5, r5, r3 \n\t" \ 00609 "add r4, r4, r2 \n\t" \ 00610 "mov r2, #0 \n\t" \ 00611 "adc r5, r2 \n\t" \ 00612 "lsl r3, r6, #16 \n\t" \ 00613 "add r4, r4, r3 \n\t" \ 00614 "adc r5, r2 \n\t" \ 00615 "lsl r3, r7, #16 \n\t" \ 00616 "add r4, r4, r3 \n\t" \ 00617 "adc r5, r2 \n\t" \ 00618 "ldr r3, [r1] \n\t" \ 00619 "add r4, r4, r3 \n\t" \ 00620 "adc r2, r5 \n\t" \ 00621 "stmia r1!, {r4} \n\t" 00622 00623 #define MULADDC_STOP \ 00624 "str r2, %0 \n\t" \ 00625 "str r1, %1 \n\t" \ 00626 "str r0, %2 \n\t" \ 00627 : "=m" (c), "=m" (d), "=m" (s) \ 00628 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00629 : "r0", "r1", "r2", "r3", "r4", "r5", \ 00630 "r6", "r7", "r8", "r9", "cc" \ 00631 ); 00632 00633 #else 00634 00635 #define MULADDC_INIT \ 00636 asm( \ 00637 "ldr r0, %3 \n\t" \ 00638 "ldr r1, %4 \n\t" \ 00639 "ldr r2, %5 \n\t" \ 00640 "ldr r3, %6 \n\t" 00641 00642 #define MULADDC_CORE \ 00643 "ldr r4, [r0], #4 \n\t" \ 00644 "mov r5, #0 \n\t" \ 00645 "ldr r6, [r1] \n\t" \ 00646 "umlal r2, r5, r3, r4 \n\t" \ 00647 "adds r7, r6, r2 \n\t" \ 00648 "adc r2, r5, #0 \n\t" \ 00649 "str r7, [r1], #4 \n\t" 00650 00651 #define MULADDC_STOP \ 00652 "str r2, %0 \n\t" \ 00653 "str r1, %1 \n\t" \ 00654 "str r0, %2 \n\t" \ 00655 : "=m" (c), "=m" (d), "=m" (s) \ 00656 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00657 : "r0", "r1", "r2", "r3", "r4", "r5", \ 00658 "r6", "r7", "cc" \ 00659 ); 00660 00661 #endif /* Thumb */ 00662 00663 #endif /* ARMv3 */ 00664 00665 #if defined(__alpha__) 00666 00667 #define MULADDC_INIT \ 00668 asm( \ 00669 "ldq $1, %3 \n\t" \ 00670 "ldq $2, %4 \n\t" \ 00671 "ldq $3, %5 \n\t" \ 00672 "ldq $4, %6 \n\t" 00673 00674 #define MULADDC_CORE \ 00675 "ldq $6, 0($1) \n\t" \ 00676 "addq $1, 8, $1 \n\t" \ 00677 "mulq $6, $4, $7 \n\t" \ 00678 "umulh $6, $4, $6 \n\t" \ 00679 "addq $7, $3, $7 \n\t" \ 00680 "cmpult $7, $3, $3 \n\t" \ 00681 "ldq $5, 0($2) \n\t" \ 00682 "addq $7, $5, $7 \n\t" \ 00683 "cmpult $7, $5, $5 \n\t" \ 00684 "stq $7, 0($2) \n\t" \ 00685 "addq $2, 8, $2 \n\t" \ 00686 "addq $6, $3, $3 \n\t" \ 00687 "addq $5, $3, $3 \n\t" 00688 00689 #define MULADDC_STOP \ 00690 "stq $3, %0 \n\t" \ 00691 "stq $2, %1 \n\t" \ 00692 "stq $1, %2 \n\t" \ 00693 : "=m" (c), "=m" (d), "=m" (s) \ 00694 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00695 : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \ 00696 ); 00697 #endif /* Alpha */ 00698 00699 #if defined(__mips__) && !defined(__mips64) 00700 00701 #define MULADDC_INIT \ 00702 asm( \ 00703 "lw $10, %3 \n\t" \ 00704 "lw $11, %4 \n\t" \ 00705 "lw $12, %5 \n\t" \ 00706 "lw $13, %6 \n\t" 00707 00708 #define MULADDC_CORE \ 00709 "lw $14, 0($10) \n\t" \ 00710 "multu $13, $14 \n\t" \ 00711 "addi $10, $10, 4 \n\t" \ 00712 "mflo $14 \n\t" \ 00713 "mfhi $9 \n\t" \ 00714 "addu $14, $12, $14 \n\t" \ 00715 "lw $15, 0($11) \n\t" \ 00716 "sltu $12, $14, $12 \n\t" \ 00717 "addu $15, $14, $15 \n\t" \ 00718 "sltu $14, $15, $14 \n\t" \ 00719 "addu $12, $12, $9 \n\t" \ 00720 "sw $15, 0($11) \n\t" \ 00721 "addu $12, $12, $14 \n\t" \ 00722 "addi $11, $11, 4 \n\t" 00723 00724 #define MULADDC_STOP \ 00725 "sw $12, %0 \n\t" \ 00726 "sw $11, %1 \n\t" \ 00727 "sw $10, %2 \n\t" \ 00728 : "=m" (c), "=m" (d), "=m" (s) \ 00729 : "m" (s), "m" (d), "m" (c), "m" (b) \ 00730 : "$9", "$10", "$11", "$12", "$13", "$14", "$15" \ 00731 ); 00732 00733 #endif /* MIPS */ 00734 #endif /* GNUC */ 00735 00736 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__) 00737 00738 #define MULADDC_INIT \ 00739 __asm mov esi, s \ 00740 __asm mov edi, d \ 00741 __asm mov ecx, c \ 00742 __asm mov ebx, b 00743 00744 #define MULADDC_CORE \ 00745 __asm lodsd \ 00746 __asm mul ebx \ 00747 __asm add eax, ecx \ 00748 __asm adc edx, 0 \ 00749 __asm add eax, [edi] \ 00750 __asm adc edx, 0 \ 00751 __asm mov ecx, edx \ 00752 __asm stosd 00753 00754 #if defined(MBEDTLS_HAVE_SSE2) 00755 00756 #define EMIT __asm _emit 00757 00758 #define MULADDC_HUIT \ 00759 EMIT 0x0F EMIT 0x6E EMIT 0xC9 \ 00760 EMIT 0x0F EMIT 0x6E EMIT 0xC3 \ 00761 EMIT 0x0F EMIT 0x6E EMIT 0x1F \ 00762 EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ 00763 EMIT 0x0F EMIT 0x6E EMIT 0x16 \ 00764 EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \ 00765 EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \ 00766 EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \ 00767 EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \ 00768 EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \ 00769 EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \ 00770 EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \ 00771 EMIT 0x0F EMIT 0xD4 EMIT 0xCA \ 00772 EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \ 00773 EMIT 0x0F EMIT 0xD4 EMIT 0xDC \ 00774 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \ 00775 EMIT 0x0F EMIT 0xD4 EMIT 0xEE \ 00776 EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \ 00777 EMIT 0x0F EMIT 0xD4 EMIT 0xFC \ 00778 EMIT 0x0F EMIT 0x7E EMIT 0x0F \ 00779 EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \ 00780 EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \ 00781 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00782 EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \ 00783 EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \ 00784 EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ 00785 EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \ 00786 EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \ 00787 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \ 00788 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00789 EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \ 00790 EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \ 00791 EMIT 0x0F EMIT 0xD4 EMIT 0xCD \ 00792 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \ 00793 EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \ 00794 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \ 00795 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00796 EMIT 0x0F EMIT 0xD4 EMIT 0xCF \ 00797 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \ 00798 EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \ 00799 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \ 00800 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00801 EMIT 0x0F EMIT 0xD4 EMIT 0xCA \ 00802 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \ 00803 EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \ 00804 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \ 00805 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00806 EMIT 0x0F EMIT 0xD4 EMIT 0xCC \ 00807 EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \ 00808 EMIT 0x0F EMIT 0xD4 EMIT 0xDD \ 00809 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \ 00810 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00811 EMIT 0x0F EMIT 0xD4 EMIT 0xCE \ 00812 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \ 00813 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00814 EMIT 0x0F EMIT 0xD4 EMIT 0xCB \ 00815 EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \ 00816 EMIT 0x83 EMIT 0xC7 EMIT 0x20 \ 00817 EMIT 0x83 EMIT 0xC6 EMIT 0x20 \ 00818 EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \ 00819 EMIT 0x0F EMIT 0x7E EMIT 0xC9 00820 00821 #define MULADDC_STOP \ 00822 EMIT 0x0F EMIT 0x77 \ 00823 __asm mov c, ecx \ 00824 __asm mov d, edi \ 00825 __asm mov s, esi \ 00826 00827 #else 00828 00829 #define MULADDC_STOP \ 00830 __asm mov c, ecx \ 00831 __asm mov d, edi \ 00832 __asm mov s, esi \ 00833 00834 #endif /* SSE2 */ 00835 #endif /* MSVC */ 00836 00837 #endif /* MBEDTLS_HAVE_ASM */ 00838 00839 #if !defined(MULADDC_CORE) 00840 #if defined(MBEDTLS_HAVE_UDBL) 00841 00842 #define MULADDC_INIT \ 00843 { \ 00844 mbedtls_t_udbl r; \ 00845 mbedtls_mpi_uint r0, r1; 00846 00847 #define MULADDC_CORE \ 00848 r = *(s++) * (mbedtls_t_udbl) b; \ 00849 r0 = (mbedtls_mpi_uint) r; \ 00850 r1 = (mbedtls_mpi_uint)( r >> biL ); \ 00851 r0 += c; r1 += (r0 < c); \ 00852 r0 += *d; r1 += (r0 < *d); \ 00853 c = r1; *(d++) = r0; 00854 00855 #define MULADDC_STOP \ 00856 } 00857 00858 #else 00859 #define MULADDC_INIT \ 00860 { \ 00861 mbedtls_mpi_uint s0, s1, b0, b1; \ 00862 mbedtls_mpi_uint r0, r1, rx, ry; \ 00863 b0 = ( b << biH ) >> biH; \ 00864 b1 = ( b >> biH ); 00865 00866 #define MULADDC_CORE \ 00867 s0 = ( *s << biH ) >> biH; \ 00868 s1 = ( *s >> biH ); s++; \ 00869 rx = s0 * b1; r0 = s0 * b0; \ 00870 ry = s1 * b0; r1 = s1 * b1; \ 00871 r1 += ( rx >> biH ); \ 00872 r1 += ( ry >> biH ); \ 00873 rx <<= biH; ry <<= biH; \ 00874 r0 += rx; r1 += (r0 < rx); \ 00875 r0 += ry; r1 += (r0 < ry); \ 00876 r0 += c; r1 += (r0 < c); \ 00877 r0 += *d; r1 += (r0 < *d); \ 00878 c = r1; *(d++) = r0; 00879 00880 #define MULADDC_STOP \ 00881 } 00882 00883 #endif /* C (generic) */ 00884 #endif /* C (longlong) */ 00885 00886 #endif /* bn_mul.h */
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