bn_mul.h 37 KB

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  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
  9. *
  10. * Licensed under the Apache License, Version 2.0 (the "License"); you may
  11. * not use this file except in compliance with the License.
  12. * You may obtain a copy of the License at
  13. *
  14. * http://www.apache.org/licenses/LICENSE-2.0
  15. *
  16. * Unless required by applicable law or agreed to in writing, software
  17. * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
  18. * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
  19. * See the License for the specific language governing permissions and
  20. * limitations under the License.
  21. */
  22. /*
  23. * Multiply source vector [s] with b, add result
  24. * to destination vector [d] and set carry c.
  25. *
  26. * Currently supports:
  27. *
  28. * . IA-32 (386+) . AMD64 / EM64T
  29. * . IA-32 (SSE2) . Motorola 68000
  30. * . PowerPC, 32-bit . MicroBlaze
  31. * . PowerPC, 64-bit . TriCore
  32. * . SPARC v8 . ARM v3+
  33. * . Alpha . MIPS32
  34. * . C, longlong . C, generic
  35. */
  36. #ifndef MBEDTLS_BN_MUL_H
  37. #define MBEDTLS_BN_MUL_H
  38. #if !defined(MBEDTLS_CONFIG_FILE)
  39. #include "mbedtls/config.h"
  40. #else
  41. #include MBEDTLS_CONFIG_FILE
  42. #endif
  43. #include "mbedtls/bignum.h"
  44. /*
  45. * Conversion macros for embedded constants:
  46. * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
  47. */
  48. #if defined(MBEDTLS_HAVE_INT32)
  49. #define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \
  50. ( (mbedtls_mpi_uint) (a) << 0 ) | \
  51. ( (mbedtls_mpi_uint) (b) << 8 ) | \
  52. ( (mbedtls_mpi_uint) (c) << 16 ) | \
  53. ( (mbedtls_mpi_uint) (d) << 24 )
  54. #define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \
  55. MBEDTLS_BYTES_TO_T_UINT_4( a, b, 0, 0 )
  56. #define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
  57. MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ), \
  58. MBEDTLS_BYTES_TO_T_UINT_4( e, f, g, h )
  59. #else /* 64-bits */
  60. #define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
  61. ( (mbedtls_mpi_uint) (a) << 0 ) | \
  62. ( (mbedtls_mpi_uint) (b) << 8 ) | \
  63. ( (mbedtls_mpi_uint) (c) << 16 ) | \
  64. ( (mbedtls_mpi_uint) (d) << 24 ) | \
  65. ( (mbedtls_mpi_uint) (e) << 32 ) | \
  66. ( (mbedtls_mpi_uint) (f) << 40 ) | \
  67. ( (mbedtls_mpi_uint) (g) << 48 ) | \
  68. ( (mbedtls_mpi_uint) (h) << 56 )
  69. #define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \
  70. MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
  71. #define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \
  72. MBEDTLS_BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
  73. #endif /* bits in mbedtls_mpi_uint */
  74. #if defined(MBEDTLS_HAVE_ASM)
  75. #ifndef asm
  76. #define asm __asm
  77. #endif
  78. /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
  79. #if defined(__GNUC__) && \
  80. ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
  81. /*
  82. * Disable use of the i386 assembly code below if option -O0, to disable all
  83. * compiler optimisations, is passed, detected with __OPTIMIZE__
  84. * This is done as the number of registers used in the assembly code doesn't
  85. * work with the -O0 option.
  86. */
  87. #if defined(__i386__) && defined(__OPTIMIZE__)
  88. #define MULADDC_INIT \
  89. asm( \
  90. "movl %%ebx, %0 \n\t" \
  91. "movl %5, %%esi \n\t" \
  92. "movl %6, %%edi \n\t" \
  93. "movl %7, %%ecx \n\t" \
  94. "movl %8, %%ebx \n\t"
  95. #define MULADDC_CORE \
  96. "lodsl \n\t" \
  97. "mull %%ebx \n\t" \
  98. "addl %%ecx, %%eax \n\t" \
  99. "adcl $0, %%edx \n\t" \
  100. "addl (%%edi), %%eax \n\t" \
  101. "adcl $0, %%edx \n\t" \
  102. "movl %%edx, %%ecx \n\t" \
  103. "stosl \n\t"
  104. #if defined(MBEDTLS_HAVE_SSE2)
  105. #define MULADDC_HUIT \
  106. "movd %%ecx, %%mm1 \n\t" \
  107. "movd %%ebx, %%mm0 \n\t" \
  108. "movd (%%edi), %%mm3 \n\t" \
  109. "paddq %%mm3, %%mm1 \n\t" \
  110. "movd (%%esi), %%mm2 \n\t" \
  111. "pmuludq %%mm0, %%mm2 \n\t" \
  112. "movd 4(%%esi), %%mm4 \n\t" \
  113. "pmuludq %%mm0, %%mm4 \n\t" \
  114. "movd 8(%%esi), %%mm6 \n\t" \
  115. "pmuludq %%mm0, %%mm6 \n\t" \
  116. "movd 12(%%esi), %%mm7 \n\t" \
  117. "pmuludq %%mm0, %%mm7 \n\t" \
  118. "paddq %%mm2, %%mm1 \n\t" \
  119. "movd 4(%%edi), %%mm3 \n\t" \
  120. "paddq %%mm4, %%mm3 \n\t" \
  121. "movd 8(%%edi), %%mm5 \n\t" \
  122. "paddq %%mm6, %%mm5 \n\t" \
  123. "movd 12(%%edi), %%mm4 \n\t" \
  124. "paddq %%mm4, %%mm7 \n\t" \
  125. "movd %%mm1, (%%edi) \n\t" \
  126. "movd 16(%%esi), %%mm2 \n\t" \
  127. "pmuludq %%mm0, %%mm2 \n\t" \
  128. "psrlq $32, %%mm1 \n\t" \
  129. "movd 20(%%esi), %%mm4 \n\t" \
  130. "pmuludq %%mm0, %%mm4 \n\t" \
  131. "paddq %%mm3, %%mm1 \n\t" \
  132. "movd 24(%%esi), %%mm6 \n\t" \
  133. "pmuludq %%mm0, %%mm6 \n\t" \
  134. "movd %%mm1, 4(%%edi) \n\t" \
  135. "psrlq $32, %%mm1 \n\t" \
  136. "movd 28(%%esi), %%mm3 \n\t" \
  137. "pmuludq %%mm0, %%mm3 \n\t" \
  138. "paddq %%mm5, %%mm1 \n\t" \
  139. "movd 16(%%edi), %%mm5 \n\t" \
  140. "paddq %%mm5, %%mm2 \n\t" \
  141. "movd %%mm1, 8(%%edi) \n\t" \
  142. "psrlq $32, %%mm1 \n\t" \
  143. "paddq %%mm7, %%mm1 \n\t" \
  144. "movd 20(%%edi), %%mm5 \n\t" \
  145. "paddq %%mm5, %%mm4 \n\t" \
  146. "movd %%mm1, 12(%%edi) \n\t" \
  147. "psrlq $32, %%mm1 \n\t" \
  148. "paddq %%mm2, %%mm1 \n\t" \
  149. "movd 24(%%edi), %%mm5 \n\t" \
  150. "paddq %%mm5, %%mm6 \n\t" \
  151. "movd %%mm1, 16(%%edi) \n\t" \
  152. "psrlq $32, %%mm1 \n\t" \
  153. "paddq %%mm4, %%mm1 \n\t" \
  154. "movd 28(%%edi), %%mm5 \n\t" \
  155. "paddq %%mm5, %%mm3 \n\t" \
  156. "movd %%mm1, 20(%%edi) \n\t" \
  157. "psrlq $32, %%mm1 \n\t" \
  158. "paddq %%mm6, %%mm1 \n\t" \
  159. "movd %%mm1, 24(%%edi) \n\t" \
  160. "psrlq $32, %%mm1 \n\t" \
  161. "paddq %%mm3, %%mm1 \n\t" \
  162. "movd %%mm1, 28(%%edi) \n\t" \
  163. "addl $32, %%edi \n\t" \
  164. "addl $32, %%esi \n\t" \
  165. "psrlq $32, %%mm1 \n\t" \
  166. "movd %%mm1, %%ecx \n\t"
  167. #define MULADDC_STOP \
  168. "emms \n\t" \
  169. "movl %4, %%ebx \n\t" \
  170. "movl %%ecx, %1 \n\t" \
  171. "movl %%edi, %2 \n\t" \
  172. "movl %%esi, %3 \n\t" \
  173. : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
  174. : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
  175. : "eax", "ebx", "ecx", "edx", "esi", "edi" \
  176. );
  177. #else
  178. #define MULADDC_STOP \
  179. "movl %4, %%ebx \n\t" \
  180. "movl %%ecx, %1 \n\t" \
  181. "movl %%edi, %2 \n\t" \
  182. "movl %%esi, %3 \n\t" \
  183. : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
  184. : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
  185. : "eax", "ebx", "ecx", "edx", "esi", "edi" \
  186. );
  187. #endif /* SSE2 */
  188. #endif /* i386 */
  189. #if defined(__amd64__) || defined (__x86_64__)
  190. #define MULADDC_INIT \
  191. asm( \
  192. "xorq %%r8, %%r8\n"
  193. #define MULADDC_CORE \
  194. "movq (%%rsi), %%rax\n" \
  195. "mulq %%rbx\n" \
  196. "addq $8, %%rsi\n" \
  197. "addq %%rcx, %%rax\n" \
  198. "movq %%r8, %%rcx\n" \
  199. "adcq $0, %%rdx\n" \
  200. "nop \n" \
  201. "addq %%rax, (%%rdi)\n" \
  202. "adcq %%rdx, %%rcx\n" \
  203. "addq $8, %%rdi\n"
  204. #define MULADDC_STOP \
  205. : "+c" (c), "+D" (d), "+S" (s) \
  206. : "b" (b) \
  207. : "rax", "rdx", "r8" \
  208. );
  209. #endif /* AMD64 */
  210. #if defined(__aarch64__)
  211. #define MULADDC_INIT \
  212. asm(
  213. #define MULADDC_CORE \
  214. "ldr x4, [%2], #8 \n\t" \
  215. "ldr x5, [%1] \n\t" \
  216. "mul x6, x4, %3 \n\t" \
  217. "umulh x7, x4, %3 \n\t" \
  218. "adds x5, x5, x6 \n\t" \
  219. "adc x7, x7, xzr \n\t" \
  220. "adds x5, x5, %0 \n\t" \
  221. "adc %0, x7, xzr \n\t" \
  222. "str x5, [%1], #8 \n\t"
  223. #define MULADDC_STOP \
  224. : "+r" (c), "+r" (d), "+r" (s) \
  225. : "r" (b) \
  226. : "x4", "x5", "x6", "x7", "cc" \
  227. );
  228. #endif /* Aarch64 */
  229. #if defined(__mc68020__) || defined(__mcpu32__)
  230. #define MULADDC_INIT \
  231. asm( \
  232. "movl %3, %%a2 \n\t" \
  233. "movl %4, %%a3 \n\t" \
  234. "movl %5, %%d3 \n\t" \
  235. "movl %6, %%d2 \n\t" \
  236. "moveq #0, %%d0 \n\t"
  237. #define MULADDC_CORE \
  238. "movel %%a2@+, %%d1 \n\t" \
  239. "mulul %%d2, %%d4:%%d1 \n\t" \
  240. "addl %%d3, %%d1 \n\t" \
  241. "addxl %%d0, %%d4 \n\t" \
  242. "moveq #0, %%d3 \n\t" \
  243. "addl %%d1, %%a3@+ \n\t" \
  244. "addxl %%d4, %%d3 \n\t"
  245. #define MULADDC_STOP \
  246. "movl %%d3, %0 \n\t" \
  247. "movl %%a3, %1 \n\t" \
  248. "movl %%a2, %2 \n\t" \
  249. : "=m" (c), "=m" (d), "=m" (s) \
  250. : "m" (s), "m" (d), "m" (c), "m" (b) \
  251. : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
  252. );
  253. #define MULADDC_HUIT \
  254. "movel %%a2@+, %%d1 \n\t" \
  255. "mulul %%d2, %%d4:%%d1 \n\t" \
  256. "addxl %%d3, %%d1 \n\t" \
  257. "addxl %%d0, %%d4 \n\t" \
  258. "addl %%d1, %%a3@+ \n\t" \
  259. "movel %%a2@+, %%d1 \n\t" \
  260. "mulul %%d2, %%d3:%%d1 \n\t" \
  261. "addxl %%d4, %%d1 \n\t" \
  262. "addxl %%d0, %%d3 \n\t" \
  263. "addl %%d1, %%a3@+ \n\t" \
  264. "movel %%a2@+, %%d1 \n\t" \
  265. "mulul %%d2, %%d4:%%d1 \n\t" \
  266. "addxl %%d3, %%d1 \n\t" \
  267. "addxl %%d0, %%d4 \n\t" \
  268. "addl %%d1, %%a3@+ \n\t" \
  269. "movel %%a2@+, %%d1 \n\t" \
  270. "mulul %%d2, %%d3:%%d1 \n\t" \
  271. "addxl %%d4, %%d1 \n\t" \
  272. "addxl %%d0, %%d3 \n\t" \
  273. "addl %%d1, %%a3@+ \n\t" \
  274. "movel %%a2@+, %%d1 \n\t" \
  275. "mulul %%d2, %%d4:%%d1 \n\t" \
  276. "addxl %%d3, %%d1 \n\t" \
  277. "addxl %%d0, %%d4 \n\t" \
  278. "addl %%d1, %%a3@+ \n\t" \
  279. "movel %%a2@+, %%d1 \n\t" \
  280. "mulul %%d2, %%d3:%%d1 \n\t" \
  281. "addxl %%d4, %%d1 \n\t" \
  282. "addxl %%d0, %%d3 \n\t" \
  283. "addl %%d1, %%a3@+ \n\t" \
  284. "movel %%a2@+, %%d1 \n\t" \
  285. "mulul %%d2, %%d4:%%d1 \n\t" \
  286. "addxl %%d3, %%d1 \n\t" \
  287. "addxl %%d0, %%d4 \n\t" \
  288. "addl %%d1, %%a3@+ \n\t" \
  289. "movel %%a2@+, %%d1 \n\t" \
  290. "mulul %%d2, %%d3:%%d1 \n\t" \
  291. "addxl %%d4, %%d1 \n\t" \
  292. "addxl %%d0, %%d3 \n\t" \
  293. "addl %%d1, %%a3@+ \n\t" \
  294. "addxl %%d0, %%d3 \n\t"
  295. #endif /* MC68000 */
  296. #if defined(__powerpc64__) || defined(__ppc64__)
  297. #if defined(__MACH__) && defined(__APPLE__)
  298. #define MULADDC_INIT \
  299. asm( \
  300. "ld r3, %3 \n\t" \
  301. "ld r4, %4 \n\t" \
  302. "ld r5, %5 \n\t" \
  303. "ld r6, %6 \n\t" \
  304. "addi r3, r3, -8 \n\t" \
  305. "addi r4, r4, -8 \n\t" \
  306. "addic r5, r5, 0 \n\t"
  307. #define MULADDC_CORE \
  308. "ldu r7, 8(r3) \n\t" \
  309. "mulld r8, r7, r6 \n\t" \
  310. "mulhdu r9, r7, r6 \n\t" \
  311. "adde r8, r8, r5 \n\t" \
  312. "ld r7, 8(r4) \n\t" \
  313. "addze r5, r9 \n\t" \
  314. "addc r8, r8, r7 \n\t" \
  315. "stdu r8, 8(r4) \n\t"
  316. #define MULADDC_STOP \
  317. "addze r5, r5 \n\t" \
  318. "addi r4, r4, 8 \n\t" \
  319. "addi r3, r3, 8 \n\t" \
  320. "std r5, %0 \n\t" \
  321. "std r4, %1 \n\t" \
  322. "std r3, %2 \n\t" \
  323. : "=m" (c), "=m" (d), "=m" (s) \
  324. : "m" (s), "m" (d), "m" (c), "m" (b) \
  325. : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
  326. );
  327. #else /* __MACH__ && __APPLE__ */
  328. #define MULADDC_INIT \
  329. asm( \
  330. "ld %%r3, %3 \n\t" \
  331. "ld %%r4, %4 \n\t" \
  332. "ld %%r5, %5 \n\t" \
  333. "ld %%r6, %6 \n\t" \
  334. "addi %%r3, %%r3, -8 \n\t" \
  335. "addi %%r4, %%r4, -8 \n\t" \
  336. "addic %%r5, %%r5, 0 \n\t"
  337. #define MULADDC_CORE \
  338. "ldu %%r7, 8(%%r3) \n\t" \
  339. "mulld %%r8, %%r7, %%r6 \n\t" \
  340. "mulhdu %%r9, %%r7, %%r6 \n\t" \
  341. "adde %%r8, %%r8, %%r5 \n\t" \
  342. "ld %%r7, 8(%%r4) \n\t" \
  343. "addze %%r5, %%r9 \n\t" \
  344. "addc %%r8, %%r8, %%r7 \n\t" \
  345. "stdu %%r8, 8(%%r4) \n\t"
  346. #define MULADDC_STOP \
  347. "addze %%r5, %%r5 \n\t" \
  348. "addi %%r4, %%r4, 8 \n\t" \
  349. "addi %%r3, %%r3, 8 \n\t" \
  350. "std %%r5, %0 \n\t" \
  351. "std %%r4, %1 \n\t" \
  352. "std %%r3, %2 \n\t" \
  353. : "=m" (c), "=m" (d), "=m" (s) \
  354. : "m" (s), "m" (d), "m" (c), "m" (b) \
  355. : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
  356. );
  357. #endif /* __MACH__ && __APPLE__ */
  358. #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
  359. #if defined(__MACH__) && defined(__APPLE__)
  360. #define MULADDC_INIT \
  361. asm( \
  362. "lwz r3, %3 \n\t" \
  363. "lwz r4, %4 \n\t" \
  364. "lwz r5, %5 \n\t" \
  365. "lwz r6, %6 \n\t" \
  366. "addi r3, r3, -4 \n\t" \
  367. "addi r4, r4, -4 \n\t" \
  368. "addic r5, r5, 0 \n\t"
  369. #define MULADDC_CORE \
  370. "lwzu r7, 4(r3) \n\t" \
  371. "mullw r8, r7, r6 \n\t" \
  372. "mulhwu r9, r7, r6 \n\t" \
  373. "adde r8, r8, r5 \n\t" \
  374. "lwz r7, 4(r4) \n\t" \
  375. "addze r5, r9 \n\t" \
  376. "addc r8, r8, r7 \n\t" \
  377. "stwu r8, 4(r4) \n\t"
  378. #define MULADDC_STOP \
  379. "addze r5, r5 \n\t" \
  380. "addi r4, r4, 4 \n\t" \
  381. "addi r3, r3, 4 \n\t" \
  382. "stw r5, %0 \n\t" \
  383. "stw r4, %1 \n\t" \
  384. "stw r3, %2 \n\t" \
  385. : "=m" (c), "=m" (d), "=m" (s) \
  386. : "m" (s), "m" (d), "m" (c), "m" (b) \
  387. : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
  388. );
  389. #else /* __MACH__ && __APPLE__ */
  390. #define MULADDC_INIT \
  391. asm( \
  392. "lwz %%r3, %3 \n\t" \
  393. "lwz %%r4, %4 \n\t" \
  394. "lwz %%r5, %5 \n\t" \
  395. "lwz %%r6, %6 \n\t" \
  396. "addi %%r3, %%r3, -4 \n\t" \
  397. "addi %%r4, %%r4, -4 \n\t" \
  398. "addic %%r5, %%r5, 0 \n\t"
  399. #define MULADDC_CORE \
  400. "lwzu %%r7, 4(%%r3) \n\t" \
  401. "mullw %%r8, %%r7, %%r6 \n\t" \
  402. "mulhwu %%r9, %%r7, %%r6 \n\t" \
  403. "adde %%r8, %%r8, %%r5 \n\t" \
  404. "lwz %%r7, 4(%%r4) \n\t" \
  405. "addze %%r5, %%r9 \n\t" \
  406. "addc %%r8, %%r8, %%r7 \n\t" \
  407. "stwu %%r8, 4(%%r4) \n\t"
  408. #define MULADDC_STOP \
  409. "addze %%r5, %%r5 \n\t" \
  410. "addi %%r4, %%r4, 4 \n\t" \
  411. "addi %%r3, %%r3, 4 \n\t" \
  412. "stw %%r5, %0 \n\t" \
  413. "stw %%r4, %1 \n\t" \
  414. "stw %%r3, %2 \n\t" \
  415. : "=m" (c), "=m" (d), "=m" (s) \
  416. : "m" (s), "m" (d), "m" (c), "m" (b) \
  417. : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
  418. );
  419. #endif /* __MACH__ && __APPLE__ */
  420. #endif /* PPC32 */
  421. /*
  422. * The Sparc(64) assembly is reported to be broken.
  423. * Disable it for now, until we're able to fix it.
  424. */
  425. #if 0 && defined(__sparc__)
  426. #if defined(__sparc64__)
  427. #define MULADDC_INIT \
  428. asm( \
  429. "ldx %3, %%o0 \n\t" \
  430. "ldx %4, %%o1 \n\t" \
  431. "ld %5, %%o2 \n\t" \
  432. "ld %6, %%o3 \n\t"
  433. #define MULADDC_CORE \
  434. "ld [%%o0], %%o4 \n\t" \
  435. "inc 4, %%o0 \n\t" \
  436. "ld [%%o1], %%o5 \n\t" \
  437. "umul %%o3, %%o4, %%o4 \n\t" \
  438. "addcc %%o4, %%o2, %%o4 \n\t" \
  439. "rd %%y, %%g1 \n\t" \
  440. "addx %%g1, 0, %%g1 \n\t" \
  441. "addcc %%o4, %%o5, %%o4 \n\t" \
  442. "st %%o4, [%%o1] \n\t" \
  443. "addx %%g1, 0, %%o2 \n\t" \
  444. "inc 4, %%o1 \n\t"
  445. #define MULADDC_STOP \
  446. "st %%o2, %0 \n\t" \
  447. "stx %%o1, %1 \n\t" \
  448. "stx %%o0, %2 \n\t" \
  449. : "=m" (c), "=m" (d), "=m" (s) \
  450. : "m" (s), "m" (d), "m" (c), "m" (b) \
  451. : "g1", "o0", "o1", "o2", "o3", "o4", \
  452. "o5" \
  453. );
  454. #else /* __sparc64__ */
  455. #define MULADDC_INIT \
  456. asm( \
  457. "ld %3, %%o0 \n\t" \
  458. "ld %4, %%o1 \n\t" \
  459. "ld %5, %%o2 \n\t" \
  460. "ld %6, %%o3 \n\t"
  461. #define MULADDC_CORE \
  462. "ld [%%o0], %%o4 \n\t" \
  463. "inc 4, %%o0 \n\t" \
  464. "ld [%%o1], %%o5 \n\t" \
  465. "umul %%o3, %%o4, %%o4 \n\t" \
  466. "addcc %%o4, %%o2, %%o4 \n\t" \
  467. "rd %%y, %%g1 \n\t" \
  468. "addx %%g1, 0, %%g1 \n\t" \
  469. "addcc %%o4, %%o5, %%o4 \n\t" \
  470. "st %%o4, [%%o1] \n\t" \
  471. "addx %%g1, 0, %%o2 \n\t" \
  472. "inc 4, %%o1 \n\t"
  473. #define MULADDC_STOP \
  474. "st %%o2, %0 \n\t" \
  475. "st %%o1, %1 \n\t" \
  476. "st %%o0, %2 \n\t" \
  477. : "=m" (c), "=m" (d), "=m" (s) \
  478. : "m" (s), "m" (d), "m" (c), "m" (b) \
  479. : "g1", "o0", "o1", "o2", "o3", "o4", \
  480. "o5" \
  481. );
  482. #endif /* __sparc64__ */
  483. #endif /* __sparc__ */
  484. #if defined(__microblaze__) || defined(microblaze)
  485. #define MULADDC_INIT \
  486. asm( \
  487. "lwi r3, %3 \n\t" \
  488. "lwi r4, %4 \n\t" \
  489. "lwi r5, %5 \n\t" \
  490. "lwi r6, %6 \n\t" \
  491. "andi r7, r6, 0xffff \n\t" \
  492. "bsrli r6, r6, 16 \n\t"
  493. #define MULADDC_CORE \
  494. "lhui r8, r3, 0 \n\t" \
  495. "addi r3, r3, 2 \n\t" \
  496. "lhui r9, r3, 0 \n\t" \
  497. "addi r3, r3, 2 \n\t" \
  498. "mul r10, r9, r6 \n\t" \
  499. "mul r11, r8, r7 \n\t" \
  500. "mul r12, r9, r7 \n\t" \
  501. "mul r13, r8, r6 \n\t" \
  502. "bsrli r8, r10, 16 \n\t" \
  503. "bsrli r9, r11, 16 \n\t" \
  504. "add r13, r13, r8 \n\t" \
  505. "add r13, r13, r9 \n\t" \
  506. "bslli r10, r10, 16 \n\t" \
  507. "bslli r11, r11, 16 \n\t" \
  508. "add r12, r12, r10 \n\t" \
  509. "addc r13, r13, r0 \n\t" \
  510. "add r12, r12, r11 \n\t" \
  511. "addc r13, r13, r0 \n\t" \
  512. "lwi r10, r4, 0 \n\t" \
  513. "add r12, r12, r10 \n\t" \
  514. "addc r13, r13, r0 \n\t" \
  515. "add r12, r12, r5 \n\t" \
  516. "addc r5, r13, r0 \n\t" \
  517. "swi r12, r4, 0 \n\t" \
  518. "addi r4, r4, 4 \n\t"
  519. #define MULADDC_STOP \
  520. "swi r5, %0 \n\t" \
  521. "swi r4, %1 \n\t" \
  522. "swi r3, %2 \n\t" \
  523. : "=m" (c), "=m" (d), "=m" (s) \
  524. : "m" (s), "m" (d), "m" (c), "m" (b) \
  525. : "r3", "r4", "r5", "r6", "r7", "r8", \
  526. "r9", "r10", "r11", "r12", "r13" \
  527. );
  528. #endif /* MicroBlaze */
  529. #if defined(__tricore__)
  530. #define MULADDC_INIT \
  531. asm( \
  532. "ld.a %%a2, %3 \n\t" \
  533. "ld.a %%a3, %4 \n\t" \
  534. "ld.w %%d4, %5 \n\t" \
  535. "ld.w %%d1, %6 \n\t" \
  536. "xor %%d5, %%d5 \n\t"
  537. #define MULADDC_CORE \
  538. "ld.w %%d0, [%%a2+] \n\t" \
  539. "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
  540. "ld.w %%d0, [%%a3] \n\t" \
  541. "addx %%d2, %%d2, %%d0 \n\t" \
  542. "addc %%d3, %%d3, 0 \n\t" \
  543. "mov %%d4, %%d3 \n\t" \
  544. "st.w [%%a3+], %%d2 \n\t"
  545. #define MULADDC_STOP \
  546. "st.w %0, %%d4 \n\t" \
  547. "st.a %1, %%a3 \n\t" \
  548. "st.a %2, %%a2 \n\t" \
  549. : "=m" (c), "=m" (d), "=m" (s) \
  550. : "m" (s), "m" (d), "m" (c), "m" (b) \
  551. : "d0", "d1", "e2", "d4", "a2", "a3" \
  552. );
  553. #endif /* TriCore */
  554. /*
  555. * Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about
  556. * our use of r7 below, unless -fomit-frame-pointer is passed.
  557. *
  558. * On the other hand, -fomit-frame-pointer is implied by any -Ox options with
  559. * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
  560. * clang and armcc5 under the same conditions).
  561. *
  562. * So, only use the optimized assembly below for optimized build, which avoids
  563. * the build error and is pretty reasonable anyway.
  564. */
  565. #if defined(__GNUC__) && !defined(__OPTIMIZE__)
  566. #define MULADDC_CANNOT_USE_R7
  567. #endif
  568. #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
  569. #if defined(__thumb__) && !defined(__thumb2__)
  570. #define MULADDC_INIT \
  571. asm( \
  572. "ldr r0, %3 \n\t" \
  573. "ldr r1, %4 \n\t" \
  574. "ldr r2, %5 \n\t" \
  575. "ldr r3, %6 \n\t" \
  576. "lsr r7, r3, #16 \n\t" \
  577. "mov r9, r7 \n\t" \
  578. "lsl r7, r3, #16 \n\t" \
  579. "lsr r7, r7, #16 \n\t" \
  580. "mov r8, r7 \n\t"
  581. #define MULADDC_CORE \
  582. "ldmia r0!, {r6} \n\t" \
  583. "lsr r7, r6, #16 \n\t" \
  584. "lsl r6, r6, #16 \n\t" \
  585. "lsr r6, r6, #16 \n\t" \
  586. "mov r4, r8 \n\t" \
  587. "mul r4, r6 \n\t" \
  588. "mov r3, r9 \n\t" \
  589. "mul r6, r3 \n\t" \
  590. "mov r5, r9 \n\t" \
  591. "mul r5, r7 \n\t" \
  592. "mov r3, r8 \n\t" \
  593. "mul r7, r3 \n\t" \
  594. "lsr r3, r6, #16 \n\t" \
  595. "add r5, r5, r3 \n\t" \
  596. "lsr r3, r7, #16 \n\t" \
  597. "add r5, r5, r3 \n\t" \
  598. "add r4, r4, r2 \n\t" \
  599. "mov r2, #0 \n\t" \
  600. "adc r5, r2 \n\t" \
  601. "lsl r3, r6, #16 \n\t" \
  602. "add r4, r4, r3 \n\t" \
  603. "adc r5, r2 \n\t" \
  604. "lsl r3, r7, #16 \n\t" \
  605. "add r4, r4, r3 \n\t" \
  606. "adc r5, r2 \n\t" \
  607. "ldr r3, [r1] \n\t" \
  608. "add r4, r4, r3 \n\t" \
  609. "adc r2, r5 \n\t" \
  610. "stmia r1!, {r4} \n\t"
  611. #define MULADDC_STOP \
  612. "str r2, %0 \n\t" \
  613. "str r1, %1 \n\t" \
  614. "str r0, %2 \n\t" \
  615. : "=m" (c), "=m" (d), "=m" (s) \
  616. : "m" (s), "m" (d), "m" (c), "m" (b) \
  617. : "r0", "r1", "r2", "r3", "r4", "r5", \
  618. "r6", "r7", "r8", "r9", "cc" \
  619. );
  620. #elif (__ARM_ARCH >= 6) && \
  621. defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)
  622. #define MULADDC_INIT \
  623. asm(
  624. #define MULADDC_CORE \
  625. "ldr r0, [%0], #4 \n\t" \
  626. "ldr r1, [%1] \n\t" \
  627. "umaal r1, %2, %3, r0 \n\t" \
  628. "str r1, [%1], #4 \n\t"
  629. #define MULADDC_STOP \
  630. : "=r" (s), "=r" (d), "=r" (c) \
  631. : "r" (b), "0" (s), "1" (d), "2" (c) \
  632. : "r0", "r1", "memory" \
  633. );
  634. #else
  635. #define MULADDC_INIT \
  636. asm( \
  637. "ldr r0, %3 \n\t" \
  638. "ldr r1, %4 \n\t" \
  639. "ldr r2, %5 \n\t" \
  640. "ldr r3, %6 \n\t"
  641. #define MULADDC_CORE \
  642. "ldr r4, [r0], #4 \n\t" \
  643. "mov r5, #0 \n\t" \
  644. "ldr r6, [r1] \n\t" \
  645. "umlal r2, r5, r3, r4 \n\t" \
  646. "adds r7, r6, r2 \n\t" \
  647. "adc r2, r5, #0 \n\t" \
  648. "str r7, [r1], #4 \n\t"
  649. #define MULADDC_STOP \
  650. "str r2, %0 \n\t" \
  651. "str r1, %1 \n\t" \
  652. "str r0, %2 \n\t" \
  653. : "=m" (c), "=m" (d), "=m" (s) \
  654. : "m" (s), "m" (d), "m" (c), "m" (b) \
  655. : "r0", "r1", "r2", "r3", "r4", "r5", \
  656. "r6", "r7", "cc" \
  657. );
  658. #endif /* Thumb */
  659. #endif /* ARMv3 */
  660. #if defined(__alpha__)
  661. #define MULADDC_INIT \
  662. asm( \
  663. "ldq $1, %3 \n\t" \
  664. "ldq $2, %4 \n\t" \
  665. "ldq $3, %5 \n\t" \
  666. "ldq $4, %6 \n\t"
  667. #define MULADDC_CORE \
  668. "ldq $6, 0($1) \n\t" \
  669. "addq $1, 8, $1 \n\t" \
  670. "mulq $6, $4, $7 \n\t" \
  671. "umulh $6, $4, $6 \n\t" \
  672. "addq $7, $3, $7 \n\t" \
  673. "cmpult $7, $3, $3 \n\t" \
  674. "ldq $5, 0($2) \n\t" \
  675. "addq $7, $5, $7 \n\t" \
  676. "cmpult $7, $5, $5 \n\t" \
  677. "stq $7, 0($2) \n\t" \
  678. "addq $2, 8, $2 \n\t" \
  679. "addq $6, $3, $3 \n\t" \
  680. "addq $5, $3, $3 \n\t"
  681. #define MULADDC_STOP \
  682. "stq $3, %0 \n\t" \
  683. "stq $2, %1 \n\t" \
  684. "stq $1, %2 \n\t" \
  685. : "=m" (c), "=m" (d), "=m" (s) \
  686. : "m" (s), "m" (d), "m" (c), "m" (b) \
  687. : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
  688. );
  689. #endif /* Alpha */
  690. #if defined(__mips__) && !defined(__mips64)
  691. #define MULADDC_INIT \
  692. asm( \
  693. "lw $10, %3 \n\t" \
  694. "lw $11, %4 \n\t" \
  695. "lw $12, %5 \n\t" \
  696. "lw $13, %6 \n\t"
  697. #define MULADDC_CORE \
  698. "lw $14, 0($10) \n\t" \
  699. "multu $13, $14 \n\t" \
  700. "addi $10, $10, 4 \n\t" \
  701. "mflo $14 \n\t" \
  702. "mfhi $9 \n\t" \
  703. "addu $14, $12, $14 \n\t" \
  704. "lw $15, 0($11) \n\t" \
  705. "sltu $12, $14, $12 \n\t" \
  706. "addu $15, $14, $15 \n\t" \
  707. "sltu $14, $15, $14 \n\t" \
  708. "addu $12, $12, $9 \n\t" \
  709. "sw $15, 0($11) \n\t" \
  710. "addu $12, $12, $14 \n\t" \
  711. "addi $11, $11, 4 \n\t"
  712. #define MULADDC_STOP \
  713. "sw $12, %0 \n\t" \
  714. "sw $11, %1 \n\t" \
  715. "sw $10, %2 \n\t" \
  716. : "=m" (c), "=m" (d), "=m" (s) \
  717. : "m" (s), "m" (d), "m" (c), "m" (b) \
  718. : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \
  719. );
  720. #endif /* MIPS */
  721. #endif /* GNUC */
  722. #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
  723. #define MULADDC_INIT \
  724. __asm mov esi, s \
  725. __asm mov edi, d \
  726. __asm mov ecx, c \
  727. __asm mov ebx, b
  728. #define MULADDC_CORE \
  729. __asm lodsd \
  730. __asm mul ebx \
  731. __asm add eax, ecx \
  732. __asm adc edx, 0 \
  733. __asm add eax, [edi] \
  734. __asm adc edx, 0 \
  735. __asm mov ecx, edx \
  736. __asm stosd
  737. #if defined(MBEDTLS_HAVE_SSE2)
  738. #define EMIT __asm _emit
  739. #define MULADDC_HUIT \
  740. EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
  741. EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
  742. EMIT 0x0F EMIT 0x6E EMIT 0x1F \
  743. EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
  744. EMIT 0x0F EMIT 0x6E EMIT 0x16 \
  745. EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
  746. EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
  747. EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
  748. EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
  749. EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
  750. EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
  751. EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
  752. EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
  753. EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
  754. EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
  755. EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
  756. EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
  757. EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
  758. EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
  759. EMIT 0x0F EMIT 0x7E EMIT 0x0F \
  760. EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
  761. EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
  762. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  763. EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
  764. EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
  765. EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
  766. EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
  767. EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
  768. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
  769. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  770. EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
  771. EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
  772. EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
  773. EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
  774. EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
  775. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
  776. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  777. EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
  778. EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
  779. EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
  780. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
  781. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  782. EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
  783. EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
  784. EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
  785. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
  786. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  787. EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
  788. EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
  789. EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
  790. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
  791. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  792. EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
  793. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
  794. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  795. EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
  796. EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
  797. EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
  798. EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
  799. EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
  800. EMIT 0x0F EMIT 0x7E EMIT 0xC9
  801. #define MULADDC_STOP \
  802. EMIT 0x0F EMIT 0x77 \
  803. __asm mov c, ecx \
  804. __asm mov d, edi \
  805. __asm mov s, esi \
  806. #else
  807. #define MULADDC_STOP \
  808. __asm mov c, ecx \
  809. __asm mov d, edi \
  810. __asm mov s, esi \
  811. #endif /* SSE2 */
  812. #endif /* MSVC */
  813. #endif /* MBEDTLS_HAVE_ASM */
  814. #if !defined(MULADDC_CORE)
  815. #if defined(MBEDTLS_HAVE_UDBL)
  816. #define MULADDC_INIT \
  817. { \
  818. mbedtls_t_udbl r; \
  819. mbedtls_mpi_uint r0, r1;
  820. #define MULADDC_CORE \
  821. r = *(s++) * (mbedtls_t_udbl) b; \
  822. r0 = (mbedtls_mpi_uint) r; \
  823. r1 = (mbedtls_mpi_uint)( r >> biL ); \
  824. r0 += c; r1 += (r0 < c); \
  825. r0 += *d; r1 += (r0 < *d); \
  826. c = r1; *(d++) = r0;
  827. #define MULADDC_STOP \
  828. }
  829. #else
  830. #define MULADDC_INIT \
  831. { \
  832. mbedtls_mpi_uint s0, s1, b0, b1; \
  833. mbedtls_mpi_uint r0, r1, rx, ry; \
  834. b0 = ( b << biH ) >> biH; \
  835. b1 = ( b >> biH );
  836. #define MULADDC_CORE \
  837. s0 = ( *s << biH ) >> biH; \
  838. s1 = ( *s >> biH ); s++; \
  839. rx = s0 * b1; r0 = s0 * b0; \
  840. ry = s1 * b0; r1 = s1 * b1; \
  841. r1 += ( rx >> biH ); \
  842. r1 += ( ry >> biH ); \
  843. rx <<= biH; ry <<= biH; \
  844. r0 += rx; r1 += (r0 < rx); \
  845. r0 += ry; r1 += (r0 < ry); \
  846. r0 += c; r1 += (r0 < c); \
  847. r0 += *d; r1 += (r0 < *d); \
  848. c = r1; *(d++) = r0;
  849. #define MULADDC_STOP \
  850. }
  851. #endif /* C (generic) */
  852. #endif /* C (longlong) */
  853. #endif /* bn_mul.h */