mbed TLS v2.11.0
bn_mul.h
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1 
6 /*
7  * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
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  * This file is part of mbed TLS (https://tls.mbed.org)
23  */
24 /*
25  * Multiply source vector [s] with b, add result
26  * to destination vector [d] and set carry c.
27  *
28  * Currently supports:
29  *
30  * . IA-32 (386+) . AMD64 / EM64T
31  * . IA-32 (SSE2) . Motorola 68000
32  * . PowerPC, 32-bit . MicroBlaze
33  * . PowerPC, 64-bit . TriCore
34  * . SPARC v8 . ARM v3+
35  * . Alpha . MIPS32
36  * . C, longlong . C, generic
37  */
38 #ifndef MBEDTLS_BN_MUL_H
39 #define MBEDTLS_BN_MUL_H
40 
41 #include "bignum.h"
42 
43 #if defined(MBEDTLS_HAVE_ASM)
44 
45 #ifndef asm
46 #define asm __asm
47 #endif
48 
49 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
50 #if defined(__GNUC__) && \
51  ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
52 #if defined(__i386__)
53 
54 #define MULADDC_INIT \
55  asm( \
56  "movl %%ebx, %0 \n\t" \
57  "movl %5, %%esi \n\t" \
58  "movl %6, %%edi \n\t" \
59  "movl %7, %%ecx \n\t" \
60  "movl %8, %%ebx \n\t"
61 
62 #define MULADDC_CORE \
63  "lodsl \n\t" \
64  "mull %%ebx \n\t" \
65  "addl %%ecx, %%eax \n\t" \
66  "adcl $0, %%edx \n\t" \
67  "addl (%%edi), %%eax \n\t" \
68  "adcl $0, %%edx \n\t" \
69  "movl %%edx, %%ecx \n\t" \
70  "stosl \n\t"
71 
72 #if defined(MBEDTLS_HAVE_SSE2)
73 
74 #define MULADDC_HUIT \
75  "movd %%ecx, %%mm1 \n\t" \
76  "movd %%ebx, %%mm0 \n\t" \
77  "movd (%%edi), %%mm3 \n\t" \
78  "paddq %%mm3, %%mm1 \n\t" \
79  "movd (%%esi), %%mm2 \n\t" \
80  "pmuludq %%mm0, %%mm2 \n\t" \
81  "movd 4(%%esi), %%mm4 \n\t" \
82  "pmuludq %%mm0, %%mm4 \n\t" \
83  "movd 8(%%esi), %%mm6 \n\t" \
84  "pmuludq %%mm0, %%mm6 \n\t" \
85  "movd 12(%%esi), %%mm7 \n\t" \
86  "pmuludq %%mm0, %%mm7 \n\t" \
87  "paddq %%mm2, %%mm1 \n\t" \
88  "movd 4(%%edi), %%mm3 \n\t" \
89  "paddq %%mm4, %%mm3 \n\t" \
90  "movd 8(%%edi), %%mm5 \n\t" \
91  "paddq %%mm6, %%mm5 \n\t" \
92  "movd 12(%%edi), %%mm4 \n\t" \
93  "paddq %%mm4, %%mm7 \n\t" \
94  "movd %%mm1, (%%edi) \n\t" \
95  "movd 16(%%esi), %%mm2 \n\t" \
96  "pmuludq %%mm0, %%mm2 \n\t" \
97  "psrlq $32, %%mm1 \n\t" \
98  "movd 20(%%esi), %%mm4 \n\t" \
99  "pmuludq %%mm0, %%mm4 \n\t" \
100  "paddq %%mm3, %%mm1 \n\t" \
101  "movd 24(%%esi), %%mm6 \n\t" \
102  "pmuludq %%mm0, %%mm6 \n\t" \
103  "movd %%mm1, 4(%%edi) \n\t" \
104  "psrlq $32, %%mm1 \n\t" \
105  "movd 28(%%esi), %%mm3 \n\t" \
106  "pmuludq %%mm0, %%mm3 \n\t" \
107  "paddq %%mm5, %%mm1 \n\t" \
108  "movd 16(%%edi), %%mm5 \n\t" \
109  "paddq %%mm5, %%mm2 \n\t" \
110  "movd %%mm1, 8(%%edi) \n\t" \
111  "psrlq $32, %%mm1 \n\t" \
112  "paddq %%mm7, %%mm1 \n\t" \
113  "movd 20(%%edi), %%mm5 \n\t" \
114  "paddq %%mm5, %%mm4 \n\t" \
115  "movd %%mm1, 12(%%edi) \n\t" \
116  "psrlq $32, %%mm1 \n\t" \
117  "paddq %%mm2, %%mm1 \n\t" \
118  "movd 24(%%edi), %%mm5 \n\t" \
119  "paddq %%mm5, %%mm6 \n\t" \
120  "movd %%mm1, 16(%%edi) \n\t" \
121  "psrlq $32, %%mm1 \n\t" \
122  "paddq %%mm4, %%mm1 \n\t" \
123  "movd 28(%%edi), %%mm5 \n\t" \
124  "paddq %%mm5, %%mm3 \n\t" \
125  "movd %%mm1, 20(%%edi) \n\t" \
126  "psrlq $32, %%mm1 \n\t" \
127  "paddq %%mm6, %%mm1 \n\t" \
128  "movd %%mm1, 24(%%edi) \n\t" \
129  "psrlq $32, %%mm1 \n\t" \
130  "paddq %%mm3, %%mm1 \n\t" \
131  "movd %%mm1, 28(%%edi) \n\t" \
132  "addl $32, %%edi \n\t" \
133  "addl $32, %%esi \n\t" \
134  "psrlq $32, %%mm1 \n\t" \
135  "movd %%mm1, %%ecx \n\t"
136 
137 #define MULADDC_STOP \
138  "emms \n\t" \
139  "movl %4, %%ebx \n\t" \
140  "movl %%ecx, %1 \n\t" \
141  "movl %%edi, %2 \n\t" \
142  "movl %%esi, %3 \n\t" \
143  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
144  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
145  : "eax", "ecx", "edx", "esi", "edi" \
146  );
147 
148 #else
149 
150 #define MULADDC_STOP \
151  "movl %4, %%ebx \n\t" \
152  "movl %%ecx, %1 \n\t" \
153  "movl %%edi, %2 \n\t" \
154  "movl %%esi, %3 \n\t" \
155  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
156  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
157  : "eax", "ecx", "edx", "esi", "edi" \
158  );
159 #endif /* SSE2 */
160 #endif /* i386 */
161 
162 #if defined(__amd64__) || defined (__x86_64__)
163 
164 #define MULADDC_INIT \
165  asm( \
166  "xorq %%r8, %%r8 \n\t"
167 
168 #define MULADDC_CORE \
169  "movq (%%rsi), %%rax \n\t" \
170  "mulq %%rbx \n\t" \
171  "addq $8, %%rsi \n\t" \
172  "addq %%rcx, %%rax \n\t" \
173  "movq %%r8, %%rcx \n\t" \
174  "adcq $0, %%rdx \n\t" \
175  "nop \n\t" \
176  "addq %%rax, (%%rdi) \n\t" \
177  "adcq %%rdx, %%rcx \n\t" \
178  "addq $8, %%rdi \n\t"
179 
180 #define MULADDC_STOP \
181  : "+c" (c), "+D" (d), "+S" (s) \
182  : "b" (b) \
183  : "rax", "rdx", "r8" \
184  );
185 
186 #endif /* AMD64 */
187 
188 #if defined(__mc68020__) || defined(__mcpu32__)
189 
190 #define MULADDC_INIT \
191  asm( \
192  "movl %3, %%a2 \n\t" \
193  "movl %4, %%a3 \n\t" \
194  "movl %5, %%d3 \n\t" \
195  "movl %6, %%d2 \n\t" \
196  "moveq #0, %%d0 \n\t"
197 
198 #define MULADDC_CORE \
199  "movel %%a2@+, %%d1 \n\t" \
200  "mulul %%d2, %%d4:%%d1 \n\t" \
201  "addl %%d3, %%d1 \n\t" \
202  "addxl %%d0, %%d4 \n\t" \
203  "moveq #0, %%d3 \n\t" \
204  "addl %%d1, %%a3@+ \n\t" \
205  "addxl %%d4, %%d3 \n\t"
206 
207 #define MULADDC_STOP \
208  "movl %%d3, %0 \n\t" \
209  "movl %%a3, %1 \n\t" \
210  "movl %%a2, %2 \n\t" \
211  : "=m" (c), "=m" (d), "=m" (s) \
212  : "m" (s), "m" (d), "m" (c), "m" (b) \
213  : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
214  );
215 
216 #define MULADDC_HUIT \
217  "movel %%a2@+, %%d1 \n\t" \
218  "mulul %%d2, %%d4:%%d1 \n\t" \
219  "addxl %%d3, %%d1 \n\t" \
220  "addxl %%d0, %%d4 \n\t" \
221  "addl %%d1, %%a3@+ \n\t" \
222  "movel %%a2@+, %%d1 \n\t" \
223  "mulul %%d2, %%d3:%%d1 \n\t" \
224  "addxl %%d4, %%d1 \n\t" \
225  "addxl %%d0, %%d3 \n\t" \
226  "addl %%d1, %%a3@+ \n\t" \
227  "movel %%a2@+, %%d1 \n\t" \
228  "mulul %%d2, %%d4:%%d1 \n\t" \
229  "addxl %%d3, %%d1 \n\t" \
230  "addxl %%d0, %%d4 \n\t" \
231  "addl %%d1, %%a3@+ \n\t" \
232  "movel %%a2@+, %%d1 \n\t" \
233  "mulul %%d2, %%d3:%%d1 \n\t" \
234  "addxl %%d4, %%d1 \n\t" \
235  "addxl %%d0, %%d3 \n\t" \
236  "addl %%d1, %%a3@+ \n\t" \
237  "movel %%a2@+, %%d1 \n\t" \
238  "mulul %%d2, %%d4:%%d1 \n\t" \
239  "addxl %%d3, %%d1 \n\t" \
240  "addxl %%d0, %%d4 \n\t" \
241  "addl %%d1, %%a3@+ \n\t" \
242  "movel %%a2@+, %%d1 \n\t" \
243  "mulul %%d2, %%d3:%%d1 \n\t" \
244  "addxl %%d4, %%d1 \n\t" \
245  "addxl %%d0, %%d3 \n\t" \
246  "addl %%d1, %%a3@+ \n\t" \
247  "movel %%a2@+, %%d1 \n\t" \
248  "mulul %%d2, %%d4:%%d1 \n\t" \
249  "addxl %%d3, %%d1 \n\t" \
250  "addxl %%d0, %%d4 \n\t" \
251  "addl %%d1, %%a3@+ \n\t" \
252  "movel %%a2@+, %%d1 \n\t" \
253  "mulul %%d2, %%d3:%%d1 \n\t" \
254  "addxl %%d4, %%d1 \n\t" \
255  "addxl %%d0, %%d3 \n\t" \
256  "addl %%d1, %%a3@+ \n\t" \
257  "addxl %%d0, %%d3 \n\t"
258 
259 #endif /* MC68000 */
260 
261 #if defined(__powerpc64__) || defined(__ppc64__)
262 
263 #if defined(__MACH__) && defined(__APPLE__)
264 
265 #define MULADDC_INIT \
266  asm( \
267  "ld r3, %3 \n\t" \
268  "ld r4, %4 \n\t" \
269  "ld r5, %5 \n\t" \
270  "ld r6, %6 \n\t" \
271  "addi r3, r3, -8 \n\t" \
272  "addi r4, r4, -8 \n\t" \
273  "addic r5, r5, 0 \n\t"
274 
275 #define MULADDC_CORE \
276  "ldu r7, 8(r3) \n\t" \
277  "mulld r8, r7, r6 \n\t" \
278  "mulhdu r9, r7, r6 \n\t" \
279  "adde r8, r8, r5 \n\t" \
280  "ld r7, 8(r4) \n\t" \
281  "addze r5, r9 \n\t" \
282  "addc r8, r8, r7 \n\t" \
283  "stdu r8, 8(r4) \n\t"
284 
285 #define MULADDC_STOP \
286  "addze r5, r5 \n\t" \
287  "addi r4, r4, 8 \n\t" \
288  "addi r3, r3, 8 \n\t" \
289  "std r5, %0 \n\t" \
290  "std r4, %1 \n\t" \
291  "std r3, %2 \n\t" \
292  : "=m" (c), "=m" (d), "=m" (s) \
293  : "m" (s), "m" (d), "m" (c), "m" (b) \
294  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
295  );
296 
297 
298 #else /* __MACH__ && __APPLE__ */
299 
300 #define MULADDC_INIT \
301  asm( \
302  "ld %%r3, %3 \n\t" \
303  "ld %%r4, %4 \n\t" \
304  "ld %%r5, %5 \n\t" \
305  "ld %%r6, %6 \n\t" \
306  "addi %%r3, %%r3, -8 \n\t" \
307  "addi %%r4, %%r4, -8 \n\t" \
308  "addic %%r5, %%r5, 0 \n\t"
309 
310 #define MULADDC_CORE \
311  "ldu %%r7, 8(%%r3) \n\t" \
312  "mulld %%r8, %%r7, %%r6 \n\t" \
313  "mulhdu %%r9, %%r7, %%r6 \n\t" \
314  "adde %%r8, %%r8, %%r5 \n\t" \
315  "ld %%r7, 8(%%r4) \n\t" \
316  "addze %%r5, %%r9 \n\t" \
317  "addc %%r8, %%r8, %%r7 \n\t" \
318  "stdu %%r8, 8(%%r4) \n\t"
319 
320 #define MULADDC_STOP \
321  "addze %%r5, %%r5 \n\t" \
322  "addi %%r4, %%r4, 8 \n\t" \
323  "addi %%r3, %%r3, 8 \n\t" \
324  "std %%r5, %0 \n\t" \
325  "std %%r4, %1 \n\t" \
326  "std %%r3, %2 \n\t" \
327  : "=m" (c), "=m" (d), "=m" (s) \
328  : "m" (s), "m" (d), "m" (c), "m" (b) \
329  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
330  );
331 
332 #endif /* __MACH__ && __APPLE__ */
333 
334 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
335 
336 #if defined(__MACH__) && defined(__APPLE__)
337 
338 #define MULADDC_INIT \
339  asm( \
340  "lwz r3, %3 \n\t" \
341  "lwz r4, %4 \n\t" \
342  "lwz r5, %5 \n\t" \
343  "lwz r6, %6 \n\t" \
344  "addi r3, r3, -4 \n\t" \
345  "addi r4, r4, -4 \n\t" \
346  "addic r5, r5, 0 \n\t"
347 
348 #define MULADDC_CORE \
349  "lwzu r7, 4(r3) \n\t" \
350  "mullw r8, r7, r6 \n\t" \
351  "mulhwu r9, r7, r6 \n\t" \
352  "adde r8, r8, r5 \n\t" \
353  "lwz r7, 4(r4) \n\t" \
354  "addze r5, r9 \n\t" \
355  "addc r8, r8, r7 \n\t" \
356  "stwu r8, 4(r4) \n\t"
357 
358 #define MULADDC_STOP \
359  "addze r5, r5 \n\t" \
360  "addi r4, r4, 4 \n\t" \
361  "addi r3, r3, 4 \n\t" \
362  "stw r5, %0 \n\t" \
363  "stw r4, %1 \n\t" \
364  "stw 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 #else /* __MACH__ && __APPLE__ */
371 
372 #define MULADDC_INIT \
373  asm( \
374  "lwz %%r3, %3 \n\t" \
375  "lwz %%r4, %4 \n\t" \
376  "lwz %%r5, %5 \n\t" \
377  "lwz %%r6, %6 \n\t" \
378  "addi %%r3, %%r3, -4 \n\t" \
379  "addi %%r4, %%r4, -4 \n\t" \
380  "addic %%r5, %%r5, 0 \n\t"
381 
382 #define MULADDC_CORE \
383  "lwzu %%r7, 4(%%r3) \n\t" \
384  "mullw %%r8, %%r7, %%r6 \n\t" \
385  "mulhwu %%r9, %%r7, %%r6 \n\t" \
386  "adde %%r8, %%r8, %%r5 \n\t" \
387  "lwz %%r7, 4(%%r4) \n\t" \
388  "addze %%r5, %%r9 \n\t" \
389  "addc %%r8, %%r8, %%r7 \n\t" \
390  "stwu %%r8, 4(%%r4) \n\t"
391 
392 #define MULADDC_STOP \
393  "addze %%r5, %%r5 \n\t" \
394  "addi %%r4, %%r4, 4 \n\t" \
395  "addi %%r3, %%r3, 4 \n\t" \
396  "stw %%r5, %0 \n\t" \
397  "stw %%r4, %1 \n\t" \
398  "stw %%r3, %2 \n\t" \
399  : "=m" (c), "=m" (d), "=m" (s) \
400  : "m" (s), "m" (d), "m" (c), "m" (b) \
401  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
402  );
403 
404 #endif /* __MACH__ && __APPLE__ */
405 
406 #endif /* PPC32 */
407 
408 /*
409  * The Sparc(64) assembly is reported to be broken.
410  * Disable it for now, until we're able to fix it.
411  */
412 #if 0 && defined(__sparc__)
413 #if defined(__sparc64__)
414 
415 #define MULADDC_INIT \
416  asm( \
417  "ldx %3, %%o0 \n\t" \
418  "ldx %4, %%o1 \n\t" \
419  "ld %5, %%o2 \n\t" \
420  "ld %6, %%o3 \n\t"
421 
422 #define MULADDC_CORE \
423  "ld [%%o0], %%o4 \n\t" \
424  "inc 4, %%o0 \n\t" \
425  "ld [%%o1], %%o5 \n\t" \
426  "umul %%o3, %%o4, %%o4 \n\t" \
427  "addcc %%o4, %%o2, %%o4 \n\t" \
428  "rd %%y, %%g1 \n\t" \
429  "addx %%g1, 0, %%g1 \n\t" \
430  "addcc %%o4, %%o5, %%o4 \n\t" \
431  "st %%o4, [%%o1] \n\t" \
432  "addx %%g1, 0, %%o2 \n\t" \
433  "inc 4, %%o1 \n\t"
434 
435  #define MULADDC_STOP \
436  "st %%o2, %0 \n\t" \
437  "stx %%o1, %1 \n\t" \
438  "stx %%o0, %2 \n\t" \
439  : "=m" (c), "=m" (d), "=m" (s) \
440  : "m" (s), "m" (d), "m" (c), "m" (b) \
441  : "g1", "o0", "o1", "o2", "o3", "o4", \
442  "o5" \
443  );
444 
445 #else /* __sparc64__ */
446 
447 #define MULADDC_INIT \
448  asm( \
449  "ld %3, %%o0 \n\t" \
450  "ld %4, %%o1 \n\t" \
451  "ld %5, %%o2 \n\t" \
452  "ld %6, %%o3 \n\t"
453 
454 #define MULADDC_CORE \
455  "ld [%%o0], %%o4 \n\t" \
456  "inc 4, %%o0 \n\t" \
457  "ld [%%o1], %%o5 \n\t" \
458  "umul %%o3, %%o4, %%o4 \n\t" \
459  "addcc %%o4, %%o2, %%o4 \n\t" \
460  "rd %%y, %%g1 \n\t" \
461  "addx %%g1, 0, %%g1 \n\t" \
462  "addcc %%o4, %%o5, %%o4 \n\t" \
463  "st %%o4, [%%o1] \n\t" \
464  "addx %%g1, 0, %%o2 \n\t" \
465  "inc 4, %%o1 \n\t"
466 
467 #define MULADDC_STOP \
468  "st %%o2, %0 \n\t" \
469  "st %%o1, %1 \n\t" \
470  "st %%o0, %2 \n\t" \
471  : "=m" (c), "=m" (d), "=m" (s) \
472  : "m" (s), "m" (d), "m" (c), "m" (b) \
473  : "g1", "o0", "o1", "o2", "o3", "o4", \
474  "o5" \
475  );
476 
477 #endif /* __sparc64__ */
478 #endif /* __sparc__ */
479 
480 #if defined(__microblaze__) || defined(microblaze)
481 
482 #define MULADDC_INIT \
483  asm( \
484  "lwi r3, %3 \n\t" \
485  "lwi r4, %4 \n\t" \
486  "lwi r5, %5 \n\t" \
487  "lwi r6, %6 \n\t" \
488  "andi r7, r6, 0xffff \n\t" \
489  "bsrli r6, r6, 16 \n\t"
490 
491 #define MULADDC_CORE \
492  "lhui r8, r3, 0 \n\t" \
493  "addi r3, r3, 2 \n\t" \
494  "lhui r9, r3, 0 \n\t" \
495  "addi r3, r3, 2 \n\t" \
496  "mul r10, r9, r6 \n\t" \
497  "mul r11, r8, r7 \n\t" \
498  "mul r12, r9, r7 \n\t" \
499  "mul r13, r8, r6 \n\t" \
500  "bsrli r8, r10, 16 \n\t" \
501  "bsrli r9, r11, 16 \n\t" \
502  "add r13, r13, r8 \n\t" \
503  "add r13, r13, r9 \n\t" \
504  "bslli r10, r10, 16 \n\t" \
505  "bslli r11, r11, 16 \n\t" \
506  "add r12, r12, r10 \n\t" \
507  "addc r13, r13, r0 \n\t" \
508  "add r12, r12, r11 \n\t" \
509  "addc r13, r13, r0 \n\t" \
510  "lwi r10, r4, 0 \n\t" \
511  "add r12, r12, r10 \n\t" \
512  "addc r13, r13, r0 \n\t" \
513  "add r12, r12, r5 \n\t" \
514  "addc r5, r13, r0 \n\t" \
515  "swi r12, r4, 0 \n\t" \
516  "addi r4, r4, 4 \n\t"
517 
518 #define MULADDC_STOP \
519  "swi r5, %0 \n\t" \
520  "swi r4, %1 \n\t" \
521  "swi r3, %2 \n\t" \
522  : "=m" (c), "=m" (d), "=m" (s) \
523  : "m" (s), "m" (d), "m" (c), "m" (b) \
524  : "r3", "r4", "r5", "r6", "r7", "r8", \
525  "r9", "r10", "r11", "r12", "r13" \
526  );
527 
528 #endif /* MicroBlaze */
529 
530 #if defined(__tricore__)
531 
532 #define MULADDC_INIT \
533  asm( \
534  "ld.a %%a2, %3 \n\t" \
535  "ld.a %%a3, %4 \n\t" \
536  "ld.w %%d4, %5 \n\t" \
537  "ld.w %%d1, %6 \n\t" \
538  "xor %%d5, %%d5 \n\t"
539 
540 #define MULADDC_CORE \
541  "ld.w %%d0, [%%a2+] \n\t" \
542  "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
543  "ld.w %%d0, [%%a3] \n\t" \
544  "addx %%d2, %%d2, %%d0 \n\t" \
545  "addc %%d3, %%d3, 0 \n\t" \
546  "mov %%d4, %%d3 \n\t" \
547  "st.w [%%a3+], %%d2 \n\t"
548 
549 #define MULADDC_STOP \
550  "st.w %0, %%d4 \n\t" \
551  "st.a %1, %%a3 \n\t" \
552  "st.a %2, %%a2 \n\t" \
553  : "=m" (c), "=m" (d), "=m" (s) \
554  : "m" (s), "m" (d), "m" (c), "m" (b) \
555  : "d0", "d1", "e2", "d4", "a2", "a3" \
556  );
557 
558 #endif /* TriCore */
559 
560 /*
561  * gcc -O0 by default uses r7 for the frame pointer, so it complains about our
562  * use of r7 below, unless -fomit-frame-pointer is passed. Unfortunately,
563  * passing that option is not easy when building with yotta.
564  *
565  * On the other hand, -fomit-frame-pointer is implied by any -Ox options with
566  * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
567  * clang and armcc5 under the same conditions).
568  *
569  * So, only use the optimized assembly below for optimized build, which avoids
570  * the build error and is pretty reasonable anyway.
571  */
572 #if defined(__GNUC__) && !defined(__OPTIMIZE__)
573 #define MULADDC_CANNOT_USE_R7
574 #endif
575 
576 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
577 
578 #if defined(__thumb__) && !defined(__thumb2__)
579 
580 #define MULADDC_INIT \
581  asm( \
582  "ldr r0, %3 \n\t" \
583  "ldr r1, %4 \n\t" \
584  "ldr r2, %5 \n\t" \
585  "ldr r3, %6 \n\t" \
586  "lsr r7, r3, #16 \n\t" \
587  "mov r9, r7 \n\t" \
588  "lsl r7, r3, #16 \n\t" \
589  "lsr r7, r7, #16 \n\t" \
590  "mov r8, r7 \n\t"
591 
592 #define MULADDC_CORE \
593  "ldmia r0!, {r6} \n\t" \
594  "lsr r7, r6, #16 \n\t" \
595  "lsl r6, r6, #16 \n\t" \
596  "lsr r6, r6, #16 \n\t" \
597  "mov r4, r8 \n\t" \
598  "mul r4, r6 \n\t" \
599  "mov r3, r9 \n\t" \
600  "mul r6, r3 \n\t" \
601  "mov r5, r9 \n\t" \
602  "mul r5, r7 \n\t" \
603  "mov r3, r8 \n\t" \
604  "mul r7, r3 \n\t" \
605  "lsr r3, r6, #16 \n\t" \
606  "add r5, r5, r3 \n\t" \
607  "lsr r3, r7, #16 \n\t" \
608  "add r5, r5, r3 \n\t" \
609  "add r4, r4, r2 \n\t" \
610  "mov r2, #0 \n\t" \
611  "adc r5, r2 \n\t" \
612  "lsl r3, r6, #16 \n\t" \
613  "add r4, r4, r3 \n\t" \
614  "adc r5, r2 \n\t" \
615  "lsl r3, r7, #16 \n\t" \
616  "add r4, r4, r3 \n\t" \
617  "adc r5, r2 \n\t" \
618  "ldr r3, [r1] \n\t" \
619  "add r4, r4, r3 \n\t" \
620  "adc r2, r5 \n\t" \
621  "stmia r1!, {r4} \n\t"
622 
623 #define MULADDC_STOP \
624  "str r2, %0 \n\t" \
625  "str r1, %1 \n\t" \
626  "str r0, %2 \n\t" \
627  : "=m" (c), "=m" (d), "=m" (s) \
628  : "m" (s), "m" (d), "m" (c), "m" (b) \
629  : "r0", "r1", "r2", "r3", "r4", "r5", \
630  "r6", "r7", "r8", "r9", "cc" \
631  );
632 
633 #else
634 
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 
642 #define MULADDC_CORE \
643  "ldr r4, [r0], #4 \n\t" \
644  "mov r5, #0 \n\t" \
645  "ldr r6, [r1] \n\t" \
646  "umlal r2, r5, r3, r4 \n\t" \
647  "adds r7, r6, r2 \n\t" \
648  "adc r2, r5, #0 \n\t" \
649  "str r7, [r1], #4 \n\t"
650 
651 #define MULADDC_STOP \
652  "str r2, %0 \n\t" \
653  "str r1, %1 \n\t" \
654  "str r0, %2 \n\t" \
655  : "=m" (c), "=m" (d), "=m" (s) \
656  : "m" (s), "m" (d), "m" (c), "m" (b) \
657  : "r0", "r1", "r2", "r3", "r4", "r5", \
658  "r6", "r7", "cc" \
659  );
660 
661 #endif /* Thumb */
662 
663 #endif /* ARMv3 */
664 
665 #if defined(__alpha__)
666 
667 #define MULADDC_INIT \
668  asm( \
669  "ldq $1, %3 \n\t" \
670  "ldq $2, %4 \n\t" \
671  "ldq $3, %5 \n\t" \
672  "ldq $4, %6 \n\t"
673 
674 #define MULADDC_CORE \
675  "ldq $6, 0($1) \n\t" \
676  "addq $1, 8, $1 \n\t" \
677  "mulq $6, $4, $7 \n\t" \
678  "umulh $6, $4, $6 \n\t" \
679  "addq $7, $3, $7 \n\t" \
680  "cmpult $7, $3, $3 \n\t" \
681  "ldq $5, 0($2) \n\t" \
682  "addq $7, $5, $7 \n\t" \
683  "cmpult $7, $5, $5 \n\t" \
684  "stq $7, 0($2) \n\t" \
685  "addq $2, 8, $2 \n\t" \
686  "addq $6, $3, $3 \n\t" \
687  "addq $5, $3, $3 \n\t"
688 
689 #define MULADDC_STOP \
690  "stq $3, %0 \n\t" \
691  "stq $2, %1 \n\t" \
692  "stq $1, %2 \n\t" \
693  : "=m" (c), "=m" (d), "=m" (s) \
694  : "m" (s), "m" (d), "m" (c), "m" (b) \
695  : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
696  );
697 #endif /* Alpha */
698 
699 #if defined(__mips__) && !defined(__mips64)
700 
701 #define MULADDC_INIT \
702  asm( \
703  "lw $10, %3 \n\t" \
704  "lw $11, %4 \n\t" \
705  "lw $12, %5 \n\t" \
706  "lw $13, %6 \n\t"
707 
708 #define MULADDC_CORE \
709  "lw $14, 0($10) \n\t" \
710  "multu $13, $14 \n\t" \
711  "addi $10, $10, 4 \n\t" \
712  "mflo $14 \n\t" \
713  "mfhi $9 \n\t" \
714  "addu $14, $12, $14 \n\t" \
715  "lw $15, 0($11) \n\t" \
716  "sltu $12, $14, $12 \n\t" \
717  "addu $15, $14, $15 \n\t" \
718  "sltu $14, $15, $14 \n\t" \
719  "addu $12, $12, $9 \n\t" \
720  "sw $15, 0($11) \n\t" \
721  "addu $12, $12, $14 \n\t" \
722  "addi $11, $11, 4 \n\t"
723 
724 #define MULADDC_STOP \
725  "sw $12, %0 \n\t" \
726  "sw $11, %1 \n\t" \
727  "sw $10, %2 \n\t" \
728  : "=m" (c), "=m" (d), "=m" (s) \
729  : "m" (s), "m" (d), "m" (c), "m" (b) \
730  : "$9", "$10", "$11", "$12", "$13", "$14", "$15" \
731  );
732 
733 #endif /* MIPS */
734 #endif /* GNUC */
735 
736 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
737 
738 #define MULADDC_INIT \
739  __asm mov esi, s \
740  __asm mov edi, d \
741  __asm mov ecx, c \
742  __asm mov ebx, b
743 
744 #define MULADDC_CORE \
745  __asm lodsd \
746  __asm mul ebx \
747  __asm add eax, ecx \
748  __asm adc edx, 0 \
749  __asm add eax, [edi] \
750  __asm adc edx, 0 \
751  __asm mov ecx, edx \
752  __asm stosd
753 
754 #if defined(MBEDTLS_HAVE_SSE2)
755 
756 #define EMIT __asm _emit
757 
758 #define MULADDC_HUIT \
759  EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
760  EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
761  EMIT 0x0F EMIT 0x6E EMIT 0x1F \
762  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
763  EMIT 0x0F EMIT 0x6E EMIT 0x16 \
764  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
765  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
766  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
767  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
768  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
769  EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
770  EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
771  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
772  EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
773  EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
774  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
775  EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
776  EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
777  EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
778  EMIT 0x0F EMIT 0x7E EMIT 0x0F \
779  EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
780  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
781  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
782  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
783  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
784  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
785  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
786  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
787  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
788  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
789  EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
790  EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
791  EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
792  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
793  EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
794  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
795  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
796  EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
797  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
798  EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
799  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
800  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
801  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
802  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
803  EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
804  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
805  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
806  EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
807  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
808  EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
809  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
810  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
811  EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
812  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
813  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
814  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
815  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
816  EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
817  EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
818  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
819  EMIT 0x0F EMIT 0x7E EMIT 0xC9
820 
821 #define MULADDC_STOP \
822  EMIT 0x0F EMIT 0x77 \
823  __asm mov c, ecx \
824  __asm mov d, edi \
825  __asm mov s, esi \
826 
827 #else
828 
829 #define MULADDC_STOP \
830  __asm mov c, ecx \
831  __asm mov d, edi \
832  __asm mov s, esi \
833 
834 #endif /* SSE2 */
835 #endif /* MSVC */
836 
837 #endif /* MBEDTLS_HAVE_ASM */
838 
839 #if !defined(MULADDC_CORE)
840 #if defined(MBEDTLS_HAVE_UDBL)
841 
842 #define MULADDC_INIT \
843 { \
844  mbedtls_t_udbl r; \
845  mbedtls_mpi_uint r0, r1;
846 
847 #define MULADDC_CORE \
848  r = *(s++) * (mbedtls_t_udbl) b; \
849  r0 = (mbedtls_mpi_uint) r; \
850  r1 = (mbedtls_mpi_uint)( r >> biL ); \
851  r0 += c; r1 += (r0 < c); \
852  r0 += *d; r1 += (r0 < *d); \
853  c = r1; *(d++) = r0;
854 
855 #define MULADDC_STOP \
856 }
857 
858 #else
859 #define MULADDC_INIT \
860 { \
861  mbedtls_mpi_uint s0, s1, b0, b1; \
862  mbedtls_mpi_uint r0, r1, rx, ry; \
863  b0 = ( b << biH ) >> biH; \
864  b1 = ( b >> biH );
865 
866 #define MULADDC_CORE \
867  s0 = ( *s << biH ) >> biH; \
868  s1 = ( *s >> biH ); s++; \
869  rx = s0 * b1; r0 = s0 * b0; \
870  ry = s1 * b0; r1 = s1 * b1; \
871  r1 += ( rx >> biH ); \
872  r1 += ( ry >> biH ); \
873  rx <<= biH; ry <<= biH; \
874  r0 += rx; r1 += (r0 < rx); \
875  r0 += ry; r1 += (r0 < ry); \
876  r0 += c; r1 += (r0 < c); \
877  r0 += *d; r1 += (r0 < *d); \
878  c = r1; *(d++) = r0;
879 
880 #define MULADDC_STOP \
881 }
882 
883 #endif /* C (generic) */
884 #endif /* C (longlong) */
885 
886 #endif /* bn_mul.h */
Multi-precision integer library.