mbed TLS v2.7.17
bn_mul.h
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1 
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 #if defined(MBEDTLS_HAVE_ASM)
75 
76 #ifndef asm
77 #define asm __asm
78 #endif
79 
80 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
81 #if defined(__GNUC__) && \
82  ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
83 
84 /*
85  * Disable use of the i386 assembly code below if option -O0, to disable all
86  * compiler optimisations, is passed, detected with __OPTIMIZE__
87  * This is done as the number of registers used in the assembly code doesn't
88  * work with the -O0 option.
89  */
90 #if defined(__i386__) && defined(__OPTIMIZE__)
91 
92 #define MULADDC_INIT \
93  asm( \
94  "movl %%ebx, %0 \n\t" \
95  "movl %5, %%esi \n\t" \
96  "movl %6, %%edi \n\t" \
97  "movl %7, %%ecx \n\t" \
98  "movl %8, %%ebx \n\t"
99 
100 #define MULADDC_CORE \
101  "lodsl \n\t" \
102  "mull %%ebx \n\t" \
103  "addl %%ecx, %%eax \n\t" \
104  "adcl $0, %%edx \n\t" \
105  "addl (%%edi), %%eax \n\t" \
106  "adcl $0, %%edx \n\t" \
107  "movl %%edx, %%ecx \n\t" \
108  "stosl \n\t"
109 
110 #if defined(MBEDTLS_HAVE_SSE2)
111 
112 #define MULADDC_HUIT \
113  "movd %%ecx, %%mm1 \n\t" \
114  "movd %%ebx, %%mm0 \n\t" \
115  "movd (%%edi), %%mm3 \n\t" \
116  "paddq %%mm3, %%mm1 \n\t" \
117  "movd (%%esi), %%mm2 \n\t" \
118  "pmuludq %%mm0, %%mm2 \n\t" \
119  "movd 4(%%esi), %%mm4 \n\t" \
120  "pmuludq %%mm0, %%mm4 \n\t" \
121  "movd 8(%%esi), %%mm6 \n\t" \
122  "pmuludq %%mm0, %%mm6 \n\t" \
123  "movd 12(%%esi), %%mm7 \n\t" \
124  "pmuludq %%mm0, %%mm7 \n\t" \
125  "paddq %%mm2, %%mm1 \n\t" \
126  "movd 4(%%edi), %%mm3 \n\t" \
127  "paddq %%mm4, %%mm3 \n\t" \
128  "movd 8(%%edi), %%mm5 \n\t" \
129  "paddq %%mm6, %%mm5 \n\t" \
130  "movd 12(%%edi), %%mm4 \n\t" \
131  "paddq %%mm4, %%mm7 \n\t" \
132  "movd %%mm1, (%%edi) \n\t" \
133  "movd 16(%%esi), %%mm2 \n\t" \
134  "pmuludq %%mm0, %%mm2 \n\t" \
135  "psrlq $32, %%mm1 \n\t" \
136  "movd 20(%%esi), %%mm4 \n\t" \
137  "pmuludq %%mm0, %%mm4 \n\t" \
138  "paddq %%mm3, %%mm1 \n\t" \
139  "movd 24(%%esi), %%mm6 \n\t" \
140  "pmuludq %%mm0, %%mm6 \n\t" \
141  "movd %%mm1, 4(%%edi) \n\t" \
142  "psrlq $32, %%mm1 \n\t" \
143  "movd 28(%%esi), %%mm3 \n\t" \
144  "pmuludq %%mm0, %%mm3 \n\t" \
145  "paddq %%mm5, %%mm1 \n\t" \
146  "movd 16(%%edi), %%mm5 \n\t" \
147  "paddq %%mm5, %%mm2 \n\t" \
148  "movd %%mm1, 8(%%edi) \n\t" \
149  "psrlq $32, %%mm1 \n\t" \
150  "paddq %%mm7, %%mm1 \n\t" \
151  "movd 20(%%edi), %%mm5 \n\t" \
152  "paddq %%mm5, %%mm4 \n\t" \
153  "movd %%mm1, 12(%%edi) \n\t" \
154  "psrlq $32, %%mm1 \n\t" \
155  "paddq %%mm2, %%mm1 \n\t" \
156  "movd 24(%%edi), %%mm5 \n\t" \
157  "paddq %%mm5, %%mm6 \n\t" \
158  "movd %%mm1, 16(%%edi) \n\t" \
159  "psrlq $32, %%mm1 \n\t" \
160  "paddq %%mm4, %%mm1 \n\t" \
161  "movd 28(%%edi), %%mm5 \n\t" \
162  "paddq %%mm5, %%mm3 \n\t" \
163  "movd %%mm1, 20(%%edi) \n\t" \
164  "psrlq $32, %%mm1 \n\t" \
165  "paddq %%mm6, %%mm1 \n\t" \
166  "movd %%mm1, 24(%%edi) \n\t" \
167  "psrlq $32, %%mm1 \n\t" \
168  "paddq %%mm3, %%mm1 \n\t" \
169  "movd %%mm1, 28(%%edi) \n\t" \
170  "addl $32, %%edi \n\t" \
171  "addl $32, %%esi \n\t" \
172  "psrlq $32, %%mm1 \n\t" \
173  "movd %%mm1, %%ecx \n\t"
174 
175 #define MULADDC_STOP \
176  "emms \n\t" \
177  "movl %4, %%ebx \n\t" \
178  "movl %%ecx, %1 \n\t" \
179  "movl %%edi, %2 \n\t" \
180  "movl %%esi, %3 \n\t" \
181  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
182  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
183  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
184  );
185 
186 #else
187 
188 #define MULADDC_STOP \
189  "movl %4, %%ebx \n\t" \
190  "movl %%ecx, %1 \n\t" \
191  "movl %%edi, %2 \n\t" \
192  "movl %%esi, %3 \n\t" \
193  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
194  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
195  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
196  );
197 #endif /* SSE2 */
198 #endif /* i386 */
199 
200 #if defined(__amd64__) || defined (__x86_64__)
201 
202 #define MULADDC_INIT \
203  asm( \
204  "xorq %%r8, %%r8\n"
205 
206 #define MULADDC_CORE \
207  "movq (%%rsi), %%rax\n" \
208  "mulq %%rbx\n" \
209  "addq $8, %%rsi\n" \
210  "addq %%rcx, %%rax\n" \
211  "movq %%r8, %%rcx\n" \
212  "adcq $0, %%rdx\n" \
213  "nop \n" \
214  "addq %%rax, (%%rdi)\n" \
215  "adcq %%rdx, %%rcx\n" \
216  "addq $8, %%rdi\n"
217 
218 #define MULADDC_STOP \
219  : "+c" (c), "+D" (d), "+S" (s) \
220  : "b" (b) \
221  : "rax", "rdx", "r8" \
222  );
223 
224 #endif /* AMD64 */
225 
226 #if defined(__mc68020__) || defined(__mcpu32__)
227 
228 #define MULADDC_INIT \
229  asm( \
230  "movl %3, %%a2 \n\t" \
231  "movl %4, %%a3 \n\t" \
232  "movl %5, %%d3 \n\t" \
233  "movl %6, %%d2 \n\t" \
234  "moveq #0, %%d0 \n\t"
235 
236 #define MULADDC_CORE \
237  "movel %%a2@+, %%d1 \n\t" \
238  "mulul %%d2, %%d4:%%d1 \n\t" \
239  "addl %%d3, %%d1 \n\t" \
240  "addxl %%d0, %%d4 \n\t" \
241  "moveq #0, %%d3 \n\t" \
242  "addl %%d1, %%a3@+ \n\t" \
243  "addxl %%d4, %%d3 \n\t"
244 
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 
254 #define MULADDC_HUIT \
255  "movel %%a2@+, %%d1 \n\t" \
256  "mulul %%d2, %%d4:%%d1 \n\t" \
257  "addxl %%d3, %%d1 \n\t" \
258  "addxl %%d0, %%d4 \n\t" \
259  "addl %%d1, %%a3@+ \n\t" \
260  "movel %%a2@+, %%d1 \n\t" \
261  "mulul %%d2, %%d3:%%d1 \n\t" \
262  "addxl %%d4, %%d1 \n\t" \
263  "addxl %%d0, %%d3 \n\t" \
264  "addl %%d1, %%a3@+ \n\t" \
265  "movel %%a2@+, %%d1 \n\t" \
266  "mulul %%d2, %%d4:%%d1 \n\t" \
267  "addxl %%d3, %%d1 \n\t" \
268  "addxl %%d0, %%d4 \n\t" \
269  "addl %%d1, %%a3@+ \n\t" \
270  "movel %%a2@+, %%d1 \n\t" \
271  "mulul %%d2, %%d3:%%d1 \n\t" \
272  "addxl %%d4, %%d1 \n\t" \
273  "addxl %%d0, %%d3 \n\t" \
274  "addl %%d1, %%a3@+ \n\t" \
275  "movel %%a2@+, %%d1 \n\t" \
276  "mulul %%d2, %%d4:%%d1 \n\t" \
277  "addxl %%d3, %%d1 \n\t" \
278  "addxl %%d0, %%d4 \n\t" \
279  "addl %%d1, %%a3@+ \n\t" \
280  "movel %%a2@+, %%d1 \n\t" \
281  "mulul %%d2, %%d3:%%d1 \n\t" \
282  "addxl %%d4, %%d1 \n\t" \
283  "addxl %%d0, %%d3 \n\t" \
284  "addl %%d1, %%a3@+ \n\t" \
285  "movel %%a2@+, %%d1 \n\t" \
286  "mulul %%d2, %%d4:%%d1 \n\t" \
287  "addxl %%d3, %%d1 \n\t" \
288  "addxl %%d0, %%d4 \n\t" \
289  "addl %%d1, %%a3@+ \n\t" \
290  "movel %%a2@+, %%d1 \n\t" \
291  "mulul %%d2, %%d3:%%d1 \n\t" \
292  "addxl %%d4, %%d1 \n\t" \
293  "addxl %%d0, %%d3 \n\t" \
294  "addl %%d1, %%a3@+ \n\t" \
295  "addxl %%d0, %%d3 \n\t"
296 
297 #endif /* MC68000 */
298 
299 #if defined(__powerpc64__) || defined(__ppc64__)
300 
301 #if defined(__MACH__) && defined(__APPLE__)
302 
303 #define MULADDC_INIT \
304  asm( \
305  "ld r3, %3 \n\t" \
306  "ld r4, %4 \n\t" \
307  "ld r5, %5 \n\t" \
308  "ld r6, %6 \n\t" \
309  "addi r3, r3, -8 \n\t" \
310  "addi r4, r4, -8 \n\t" \
311  "addic r5, r5, 0 \n\t"
312 
313 #define MULADDC_CORE \
314  "ldu r7, 8(r3) \n\t" \
315  "mulld r8, r7, r6 \n\t" \
316  "mulhdu r9, r7, r6 \n\t" \
317  "adde r8, r8, r5 \n\t" \
318  "ld r7, 8(r4) \n\t" \
319  "addze r5, r9 \n\t" \
320  "addc r8, r8, r7 \n\t" \
321  "stdu r8, 8(r4) \n\t"
322 
323 #define MULADDC_STOP \
324  "addze r5, r5 \n\t" \
325  "addi r4, r4, 8 \n\t" \
326  "addi r3, r3, 8 \n\t" \
327  "std r5, %0 \n\t" \
328  "std r4, %1 \n\t" \
329  "std r3, %2 \n\t" \
330  : "=m" (c), "=m" (d), "=m" (s) \
331  : "m" (s), "m" (d), "m" (c), "m" (b) \
332  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
333  );
334 
335 
336 #else /* __MACH__ && __APPLE__ */
337 
338 #define MULADDC_INIT \
339  asm( \
340  "ld %%r3, %3 \n\t" \
341  "ld %%r4, %4 \n\t" \
342  "ld %%r5, %5 \n\t" \
343  "ld %%r6, %6 \n\t" \
344  "addi %%r3, %%r3, -8 \n\t" \
345  "addi %%r4, %%r4, -8 \n\t" \
346  "addic %%r5, %%r5, 0 \n\t"
347 
348 #define MULADDC_CORE \
349  "ldu %%r7, 8(%%r3) \n\t" \
350  "mulld %%r8, %%r7, %%r6 \n\t" \
351  "mulhdu %%r9, %%r7, %%r6 \n\t" \
352  "adde %%r8, %%r8, %%r5 \n\t" \
353  "ld %%r7, 8(%%r4) \n\t" \
354  "addze %%r5, %%r9 \n\t" \
355  "addc %%r8, %%r8, %%r7 \n\t" \
356  "stdu %%r8, 8(%%r4) \n\t"
357 
358 #define MULADDC_STOP \
359  "addze %%r5, %%r5 \n\t" \
360  "addi %%r4, %%r4, 8 \n\t" \
361  "addi %%r3, %%r3, 8 \n\t" \
362  "std %%r5, %0 \n\t" \
363  "std %%r4, %1 \n\t" \
364  "std %%r3, %2 \n\t" \
365  : "=m" (c), "=m" (d), "=m" (s) \
366  : "m" (s), "m" (d), "m" (c), "m" (b) \
367  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
368  );
369 
370 #endif /* __MACH__ && __APPLE__ */
371 
372 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
373 
374 #if defined(__MACH__) && defined(__APPLE__)
375 
376 #define MULADDC_INIT \
377  asm( \
378  "lwz r3, %3 \n\t" \
379  "lwz r4, %4 \n\t" \
380  "lwz r5, %5 \n\t" \
381  "lwz r6, %6 \n\t" \
382  "addi r3, r3, -4 \n\t" \
383  "addi r4, r4, -4 \n\t" \
384  "addic r5, r5, 0 \n\t"
385 
386 #define MULADDC_CORE \
387  "lwzu r7, 4(r3) \n\t" \
388  "mullw r8, r7, r6 \n\t" \
389  "mulhwu r9, r7, r6 \n\t" \
390  "adde r8, r8, r5 \n\t" \
391  "lwz r7, 4(r4) \n\t" \
392  "addze r5, r9 \n\t" \
393  "addc r8, r8, r7 \n\t" \
394  "stwu r8, 4(r4) \n\t"
395 
396 #define MULADDC_STOP \
397  "addze r5, r5 \n\t" \
398  "addi r4, r4, 4 \n\t" \
399  "addi r3, r3, 4 \n\t" \
400  "stw r5, %0 \n\t" \
401  "stw r4, %1 \n\t" \
402  "stw r3, %2 \n\t" \
403  : "=m" (c), "=m" (d), "=m" (s) \
404  : "m" (s), "m" (d), "m" (c), "m" (b) \
405  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
406  );
407 
408 #else /* __MACH__ && __APPLE__ */
409 
410 #define MULADDC_INIT \
411  asm( \
412  "lwz %%r3, %3 \n\t" \
413  "lwz %%r4, %4 \n\t" \
414  "lwz %%r5, %5 \n\t" \
415  "lwz %%r6, %6 \n\t" \
416  "addi %%r3, %%r3, -4 \n\t" \
417  "addi %%r4, %%r4, -4 \n\t" \
418  "addic %%r5, %%r5, 0 \n\t"
419 
420 #define MULADDC_CORE \
421  "lwzu %%r7, 4(%%r3) \n\t" \
422  "mullw %%r8, %%r7, %%r6 \n\t" \
423  "mulhwu %%r9, %%r7, %%r6 \n\t" \
424  "adde %%r8, %%r8, %%r5 \n\t" \
425  "lwz %%r7, 4(%%r4) \n\t" \
426  "addze %%r5, %%r9 \n\t" \
427  "addc %%r8, %%r8, %%r7 \n\t" \
428  "stwu %%r8, 4(%%r4) \n\t"
429 
430 #define MULADDC_STOP \
431  "addze %%r5, %%r5 \n\t" \
432  "addi %%r4, %%r4, 4 \n\t" \
433  "addi %%r3, %%r3, 4 \n\t" \
434  "stw %%r5, %0 \n\t" \
435  "stw %%r4, %1 \n\t" \
436  "stw %%r3, %2 \n\t" \
437  : "=m" (c), "=m" (d), "=m" (s) \
438  : "m" (s), "m" (d), "m" (c), "m" (b) \
439  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
440  );
441 
442 #endif /* __MACH__ && __APPLE__ */
443 
444 #endif /* PPC32 */
445 
446 /*
447  * The Sparc(64) assembly is reported to be broken.
448  * Disable it for now, until we're able to fix it.
449  */
450 #if 0 && defined(__sparc__)
451 #if defined(__sparc64__)
452 
453 #define MULADDC_INIT \
454  asm( \
455  "ldx %3, %%o0 \n\t" \
456  "ldx %4, %%o1 \n\t" \
457  "ld %5, %%o2 \n\t" \
458  "ld %6, %%o3 \n\t"
459 
460 #define MULADDC_CORE \
461  "ld [%%o0], %%o4 \n\t" \
462  "inc 4, %%o0 \n\t" \
463  "ld [%%o1], %%o5 \n\t" \
464  "umul %%o3, %%o4, %%o4 \n\t" \
465  "addcc %%o4, %%o2, %%o4 \n\t" \
466  "rd %%y, %%g1 \n\t" \
467  "addx %%g1, 0, %%g1 \n\t" \
468  "addcc %%o4, %%o5, %%o4 \n\t" \
469  "st %%o4, [%%o1] \n\t" \
470  "addx %%g1, 0, %%o2 \n\t" \
471  "inc 4, %%o1 \n\t"
472 
473  #define MULADDC_STOP \
474  "st %%o2, %0 \n\t" \
475  "stx %%o1, %1 \n\t" \
476  "stx %%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 
483 #else /* __sparc64__ */
484 
485 #define MULADDC_INIT \
486  asm( \
487  "ld %3, %%o0 \n\t" \
488  "ld %4, %%o1 \n\t" \
489  "ld %5, %%o2 \n\t" \
490  "ld %6, %%o3 \n\t"
491 
492 #define MULADDC_CORE \
493  "ld [%%o0], %%o4 \n\t" \
494  "inc 4, %%o0 \n\t" \
495  "ld [%%o1], %%o5 \n\t" \
496  "umul %%o3, %%o4, %%o4 \n\t" \
497  "addcc %%o4, %%o2, %%o4 \n\t" \
498  "rd %%y, %%g1 \n\t" \
499  "addx %%g1, 0, %%g1 \n\t" \
500  "addcc %%o4, %%o5, %%o4 \n\t" \
501  "st %%o4, [%%o1] \n\t" \
502  "addx %%g1, 0, %%o2 \n\t" \
503  "inc 4, %%o1 \n\t"
504 
505 #define MULADDC_STOP \
506  "st %%o2, %0 \n\t" \
507  "st %%o1, %1 \n\t" \
508  "st %%o0, %2 \n\t" \
509  : "=m" (c), "=m" (d), "=m" (s) \
510  : "m" (s), "m" (d), "m" (c), "m" (b) \
511  : "g1", "o0", "o1", "o2", "o3", "o4", \
512  "o5" \
513  );
514 
515 #endif /* __sparc64__ */
516 #endif /* __sparc__ */
517 
518 #if defined(__microblaze__) || defined(microblaze)
519 
520 #define MULADDC_INIT \
521  asm( \
522  "lwi r3, %3 \n\t" \
523  "lwi r4, %4 \n\t" \
524  "lwi r5, %5 \n\t" \
525  "lwi r6, %6 \n\t" \
526  "andi r7, r6, 0xffff \n\t" \
527  "bsrli r6, r6, 16 \n\t"
528 
529 #define MULADDC_CORE \
530  "lhui r8, r3, 0 \n\t" \
531  "addi r3, r3, 2 \n\t" \
532  "lhui r9, r3, 0 \n\t" \
533  "addi r3, r3, 2 \n\t" \
534  "mul r10, r9, r6 \n\t" \
535  "mul r11, r8, r7 \n\t" \
536  "mul r12, r9, r7 \n\t" \
537  "mul r13, r8, r6 \n\t" \
538  "bsrli r8, r10, 16 \n\t" \
539  "bsrli r9, r11, 16 \n\t" \
540  "add r13, r13, r8 \n\t" \
541  "add r13, r13, r9 \n\t" \
542  "bslli r10, r10, 16 \n\t" \
543  "bslli r11, r11, 16 \n\t" \
544  "add r12, r12, r10 \n\t" \
545  "addc r13, r13, r0 \n\t" \
546  "add r12, r12, r11 \n\t" \
547  "addc r13, r13, r0 \n\t" \
548  "lwi r10, r4, 0 \n\t" \
549  "add r12, r12, r10 \n\t" \
550  "addc r13, r13, r0 \n\t" \
551  "add r12, r12, r5 \n\t" \
552  "addc r5, r13, r0 \n\t" \
553  "swi r12, r4, 0 \n\t" \
554  "addi r4, r4, 4 \n\t"
555 
556 #define MULADDC_STOP \
557  "swi r5, %0 \n\t" \
558  "swi r4, %1 \n\t" \
559  "swi r3, %2 \n\t" \
560  : "=m" (c), "=m" (d), "=m" (s) \
561  : "m" (s), "m" (d), "m" (c), "m" (b) \
562  : "r3", "r4", "r5", "r6", "r7", "r8", \
563  "r9", "r10", "r11", "r12", "r13" \
564  );
565 
566 #endif /* MicroBlaze */
567 
568 #if defined(__tricore__)
569 
570 #define MULADDC_INIT \
571  asm( \
572  "ld.a %%a2, %3 \n\t" \
573  "ld.a %%a3, %4 \n\t" \
574  "ld.w %%d4, %5 \n\t" \
575  "ld.w %%d1, %6 \n\t" \
576  "xor %%d5, %%d5 \n\t"
577 
578 #define MULADDC_CORE \
579  "ld.w %%d0, [%%a2+] \n\t" \
580  "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
581  "ld.w %%d0, [%%a3] \n\t" \
582  "addx %%d2, %%d2, %%d0 \n\t" \
583  "addc %%d3, %%d3, 0 \n\t" \
584  "mov %%d4, %%d3 \n\t" \
585  "st.w [%%a3+], %%d2 \n\t"
586 
587 #define MULADDC_STOP \
588  "st.w %0, %%d4 \n\t" \
589  "st.a %1, %%a3 \n\t" \
590  "st.a %2, %%a2 \n\t" \
591  : "=m" (c), "=m" (d), "=m" (s) \
592  : "m" (s), "m" (d), "m" (c), "m" (b) \
593  : "d0", "d1", "e2", "d4", "a2", "a3" \
594  );
595 
596 #endif /* TriCore */
597 
598 /*
599  * gcc -O0 by default uses r7 for the frame pointer, so it complains about our
600  * use of r7 below, unless -fomit-frame-pointer is passed. Unfortunately,
601  * passing that option is not easy when building with yotta.
602  *
603  * On the other hand, -fomit-frame-pointer is implied by any -Ox options with
604  * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
605  * clang and armcc5 under the same conditions).
606  *
607  * So, only use the optimized assembly below for optimized build, which avoids
608  * the build error and is pretty reasonable anyway.
609  */
610 #if defined(__GNUC__) && !defined(__OPTIMIZE__)
611 #define MULADDC_CANNOT_USE_R7
612 #endif
613 
614 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
615 
616 #if defined(__thumb__) && !defined(__thumb2__)
617 
618 #define MULADDC_INIT \
619  asm( \
620  "ldr r0, %3 \n\t" \
621  "ldr r1, %4 \n\t" \
622  "ldr r2, %5 \n\t" \
623  "ldr r3, %6 \n\t" \
624  "lsr r7, r3, #16 \n\t" \
625  "mov r9, r7 \n\t" \
626  "lsl r7, r3, #16 \n\t" \
627  "lsr r7, r7, #16 \n\t" \
628  "mov r8, r7 \n\t"
629 
630 #define MULADDC_CORE \
631  "ldmia r0!, {r6} \n\t" \
632  "lsr r7, r6, #16 \n\t" \
633  "lsl r6, r6, #16 \n\t" \
634  "lsr r6, r6, #16 \n\t" \
635  "mov r4, r8 \n\t" \
636  "mul r4, r6 \n\t" \
637  "mov r3, r9 \n\t" \
638  "mul r6, r3 \n\t" \
639  "mov r5, r9 \n\t" \
640  "mul r5, r7 \n\t" \
641  "mov r3, r8 \n\t" \
642  "mul r7, r3 \n\t" \
643  "lsr r3, r6, #16 \n\t" \
644  "add r5, r5, r3 \n\t" \
645  "lsr r3, r7, #16 \n\t" \
646  "add r5, r5, r3 \n\t" \
647  "add r4, r4, r2 \n\t" \
648  "mov r2, #0 \n\t" \
649  "adc r5, r2 \n\t" \
650  "lsl r3, r6, #16 \n\t" \
651  "add r4, r4, r3 \n\t" \
652  "adc r5, r2 \n\t" \
653  "lsl r3, r7, #16 \n\t" \
654  "add r4, r4, r3 \n\t" \
655  "adc r5, r2 \n\t" \
656  "ldr r3, [r1] \n\t" \
657  "add r4, r4, r3 \n\t" \
658  "adc r2, r5 \n\t" \
659  "stmia r1!, {r4} \n\t"
660 
661 #define MULADDC_STOP \
662  "str r2, %0 \n\t" \
663  "str r1, %1 \n\t" \
664  "str r0, %2 \n\t" \
665  : "=m" (c), "=m" (d), "=m" (s) \
666  : "m" (s), "m" (d), "m" (c), "m" (b) \
667  : "r0", "r1", "r2", "r3", "r4", "r5", \
668  "r6", "r7", "r8", "r9", "cc" \
669  );
670 
671 #else
672 
673 #define MULADDC_INIT \
674  asm( \
675  "ldr r0, %3 \n\t" \
676  "ldr r1, %4 \n\t" \
677  "ldr r2, %5 \n\t" \
678  "ldr r3, %6 \n\t"
679 
680 #define MULADDC_CORE \
681  "ldr r4, [r0], #4 \n\t" \
682  "mov r5, #0 \n\t" \
683  "ldr r6, [r1] \n\t" \
684  "umlal r2, r5, r3, r4 \n\t" \
685  "adds r7, r6, r2 \n\t" \
686  "adc r2, r5, #0 \n\t" \
687  "str r7, [r1], #4 \n\t"
688 
689 #define MULADDC_STOP \
690  "str r2, %0 \n\t" \
691  "str r1, %1 \n\t" \
692  "str r0, %2 \n\t" \
693  : "=m" (c), "=m" (d), "=m" (s) \
694  : "m" (s), "m" (d), "m" (c), "m" (b) \
695  : "r0", "r1", "r2", "r3", "r4", "r5", \
696  "r6", "r7", "cc" \
697  );
698 
699 #endif /* Thumb */
700 
701 #endif /* ARMv3 */
702 
703 #if defined(__alpha__)
704 
705 #define MULADDC_INIT \
706  asm( \
707  "ldq $1, %3 \n\t" \
708  "ldq $2, %4 \n\t" \
709  "ldq $3, %5 \n\t" \
710  "ldq $4, %6 \n\t"
711 
712 #define MULADDC_CORE \
713  "ldq $6, 0($1) \n\t" \
714  "addq $1, 8, $1 \n\t" \
715  "mulq $6, $4, $7 \n\t" \
716  "umulh $6, $4, $6 \n\t" \
717  "addq $7, $3, $7 \n\t" \
718  "cmpult $7, $3, $3 \n\t" \
719  "ldq $5, 0($2) \n\t" \
720  "addq $7, $5, $7 \n\t" \
721  "cmpult $7, $5, $5 \n\t" \
722  "stq $7, 0($2) \n\t" \
723  "addq $2, 8, $2 \n\t" \
724  "addq $6, $3, $3 \n\t" \
725  "addq $5, $3, $3 \n\t"
726 
727 #define MULADDC_STOP \
728  "stq $3, %0 \n\t" \
729  "stq $2, %1 \n\t" \
730  "stq $1, %2 \n\t" \
731  : "=m" (c), "=m" (d), "=m" (s) \
732  : "m" (s), "m" (d), "m" (c), "m" (b) \
733  : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
734  );
735 #endif /* Alpha */
736 
737 #if defined(__mips__) && !defined(__mips64)
738 
739 #define MULADDC_INIT \
740  asm( \
741  "lw $10, %3 \n\t" \
742  "lw $11, %4 \n\t" \
743  "lw $12, %5 \n\t" \
744  "lw $13, %6 \n\t"
745 
746 #define MULADDC_CORE \
747  "lw $14, 0($10) \n\t" \
748  "multu $13, $14 \n\t" \
749  "addi $10, $10, 4 \n\t" \
750  "mflo $14 \n\t" \
751  "mfhi $9 \n\t" \
752  "addu $14, $12, $14 \n\t" \
753  "lw $15, 0($11) \n\t" \
754  "sltu $12, $14, $12 \n\t" \
755  "addu $15, $14, $15 \n\t" \
756  "sltu $14, $15, $14 \n\t" \
757  "addu $12, $12, $9 \n\t" \
758  "sw $15, 0($11) \n\t" \
759  "addu $12, $12, $14 \n\t" \
760  "addi $11, $11, 4 \n\t"
761 
762 #define MULADDC_STOP \
763  "sw $12, %0 \n\t" \
764  "sw $11, %1 \n\t" \
765  "sw $10, %2 \n\t" \
766  : "=m" (c), "=m" (d), "=m" (s) \
767  : "m" (s), "m" (d), "m" (c), "m" (b) \
768  : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \
769  );
770 
771 #endif /* MIPS */
772 #endif /* GNUC */
773 
774 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
775 
776 #define MULADDC_INIT \
777  __asm mov esi, s \
778  __asm mov edi, d \
779  __asm mov ecx, c \
780  __asm mov ebx, b
781 
782 #define MULADDC_CORE \
783  __asm lodsd \
784  __asm mul ebx \
785  __asm add eax, ecx \
786  __asm adc edx, 0 \
787  __asm add eax, [edi] \
788  __asm adc edx, 0 \
789  __asm mov ecx, edx \
790  __asm stosd
791 
792 #if defined(MBEDTLS_HAVE_SSE2)
793 
794 #define EMIT __asm _emit
795 
796 #define MULADDC_HUIT \
797  EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
798  EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
799  EMIT 0x0F EMIT 0x6E EMIT 0x1F \
800  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
801  EMIT 0x0F EMIT 0x6E EMIT 0x16 \
802  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
803  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
804  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
805  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
806  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
807  EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
808  EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
809  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
810  EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
811  EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
812  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
813  EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
814  EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
815  EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
816  EMIT 0x0F EMIT 0x7E EMIT 0x0F \
817  EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
818  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
819  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
820  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
821  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
822  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
823  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
824  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
825  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
826  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
827  EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
828  EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
829  EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
830  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
831  EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
832  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
833  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
834  EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
835  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
836  EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
837  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
838  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
839  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
840  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
841  EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
842  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
843  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
844  EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
845  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
846  EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
847  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
848  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
849  EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
850  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
851  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
852  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
853  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
854  EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
855  EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
856  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
857  EMIT 0x0F EMIT 0x7E EMIT 0xC9
858 
859 #define MULADDC_STOP \
860  EMIT 0x0F EMIT 0x77 \
861  __asm mov c, ecx \
862  __asm mov d, edi \
863  __asm mov s, esi \
864 
865 #else
866 
867 #define MULADDC_STOP \
868  __asm mov c, ecx \
869  __asm mov d, edi \
870  __asm mov s, esi \
871 
872 #endif /* SSE2 */
873 #endif /* MSVC */
874 
875 #endif /* MBEDTLS_HAVE_ASM */
876 
877 #if !defined(MULADDC_CORE)
878 #if defined(MBEDTLS_HAVE_UDBL)
879 
880 #define MULADDC_INIT \
881 { \
882  mbedtls_t_udbl r; \
883  mbedtls_mpi_uint r0, r1;
884 
885 #define MULADDC_CORE \
886  r = *(s++) * (mbedtls_t_udbl) b; \
887  r0 = (mbedtls_mpi_uint) r; \
888  r1 = (mbedtls_mpi_uint)( r >> biL ); \
889  r0 += c; r1 += (r0 < c); \
890  r0 += *d; r1 += (r0 < *d); \
891  c = r1; *(d++) = r0;
892 
893 #define MULADDC_STOP \
894 }
895 
896 #else
897 #define MULADDC_INIT \
898 { \
899  mbedtls_mpi_uint s0, s1, b0, b1; \
900  mbedtls_mpi_uint r0, r1, rx, ry; \
901  b0 = ( b << biH ) >> biH; \
902  b1 = ( b >> biH );
903 
904 #define MULADDC_CORE \
905  s0 = ( *s << biH ) >> biH; \
906  s1 = ( *s >> biH ); s++; \
907  rx = s0 * b1; r0 = s0 * b0; \
908  ry = s1 * b0; r1 = s1 * b1; \
909  r1 += ( rx >> biH ); \
910  r1 += ( ry >> biH ); \
911  rx <<= biH; ry <<= biH; \
912  r0 += rx; r1 += (r0 < rx); \
913  r0 += ry; r1 += (r0 < ry); \
914  r0 += c; r1 += (r0 < c); \
915  r0 += *d; r1 += (r0 < *d); \
916  c = r1; *(d++) = r0;
917 
918 #define MULADDC_STOP \
919 }
920 
921 #endif /* C (generic) */
922 #endif /* C (longlong) */
923 
924 #endif /* bn_mul.h */
Configuration options (set of defines)
Multi-precision integer library.