mbed TLS v2.16.3
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 #if !defined(MBEDTLS_CONFIG_FILE)
42 #include "config.h"
43 #else
44 #include MBEDTLS_CONFIG_FILE
45 #endif
46 
47 #include "bignum.h"
48 
49 #if defined(MBEDTLS_HAVE_ASM)
50 
51 #ifndef asm
52 #define asm __asm
53 #endif
54 
55 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
56 #if defined(__GNUC__) && \
57  ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
58 
59 /*
60  * Disable use of the i386 assembly code below if option -O0, to disable all
61  * compiler optimisations, is passed, detected with __OPTIMIZE__
62  * This is done as the number of registers used in the assembly code doesn't
63  * work with the -O0 option.
64  */
65 #if defined(__i386__) && defined(__OPTIMIZE__)
66 
67 #define MULADDC_INIT \
68  asm( \
69  "movl %%ebx, %0 \n\t" \
70  "movl %5, %%esi \n\t" \
71  "movl %6, %%edi \n\t" \
72  "movl %7, %%ecx \n\t" \
73  "movl %8, %%ebx \n\t"
74 
75 #define MULADDC_CORE \
76  "lodsl \n\t" \
77  "mull %%ebx \n\t" \
78  "addl %%ecx, %%eax \n\t" \
79  "adcl $0, %%edx \n\t" \
80  "addl (%%edi), %%eax \n\t" \
81  "adcl $0, %%edx \n\t" \
82  "movl %%edx, %%ecx \n\t" \
83  "stosl \n\t"
84 
85 #if defined(MBEDTLS_HAVE_SSE2)
86 
87 #define MULADDC_HUIT \
88  "movd %%ecx, %%mm1 \n\t" \
89  "movd %%ebx, %%mm0 \n\t" \
90  "movd (%%edi), %%mm3 \n\t" \
91  "paddq %%mm3, %%mm1 \n\t" \
92  "movd (%%esi), %%mm2 \n\t" \
93  "pmuludq %%mm0, %%mm2 \n\t" \
94  "movd 4(%%esi), %%mm4 \n\t" \
95  "pmuludq %%mm0, %%mm4 \n\t" \
96  "movd 8(%%esi), %%mm6 \n\t" \
97  "pmuludq %%mm0, %%mm6 \n\t" \
98  "movd 12(%%esi), %%mm7 \n\t" \
99  "pmuludq %%mm0, %%mm7 \n\t" \
100  "paddq %%mm2, %%mm1 \n\t" \
101  "movd 4(%%edi), %%mm3 \n\t" \
102  "paddq %%mm4, %%mm3 \n\t" \
103  "movd 8(%%edi), %%mm5 \n\t" \
104  "paddq %%mm6, %%mm5 \n\t" \
105  "movd 12(%%edi), %%mm4 \n\t" \
106  "paddq %%mm4, %%mm7 \n\t" \
107  "movd %%mm1, (%%edi) \n\t" \
108  "movd 16(%%esi), %%mm2 \n\t" \
109  "pmuludq %%mm0, %%mm2 \n\t" \
110  "psrlq $32, %%mm1 \n\t" \
111  "movd 20(%%esi), %%mm4 \n\t" \
112  "pmuludq %%mm0, %%mm4 \n\t" \
113  "paddq %%mm3, %%mm1 \n\t" \
114  "movd 24(%%esi), %%mm6 \n\t" \
115  "pmuludq %%mm0, %%mm6 \n\t" \
116  "movd %%mm1, 4(%%edi) \n\t" \
117  "psrlq $32, %%mm1 \n\t" \
118  "movd 28(%%esi), %%mm3 \n\t" \
119  "pmuludq %%mm0, %%mm3 \n\t" \
120  "paddq %%mm5, %%mm1 \n\t" \
121  "movd 16(%%edi), %%mm5 \n\t" \
122  "paddq %%mm5, %%mm2 \n\t" \
123  "movd %%mm1, 8(%%edi) \n\t" \
124  "psrlq $32, %%mm1 \n\t" \
125  "paddq %%mm7, %%mm1 \n\t" \
126  "movd 20(%%edi), %%mm5 \n\t" \
127  "paddq %%mm5, %%mm4 \n\t" \
128  "movd %%mm1, 12(%%edi) \n\t" \
129  "psrlq $32, %%mm1 \n\t" \
130  "paddq %%mm2, %%mm1 \n\t" \
131  "movd 24(%%edi), %%mm5 \n\t" \
132  "paddq %%mm5, %%mm6 \n\t" \
133  "movd %%mm1, 16(%%edi) \n\t" \
134  "psrlq $32, %%mm1 \n\t" \
135  "paddq %%mm4, %%mm1 \n\t" \
136  "movd 28(%%edi), %%mm5 \n\t" \
137  "paddq %%mm5, %%mm3 \n\t" \
138  "movd %%mm1, 20(%%edi) \n\t" \
139  "psrlq $32, %%mm1 \n\t" \
140  "paddq %%mm6, %%mm1 \n\t" \
141  "movd %%mm1, 24(%%edi) \n\t" \
142  "psrlq $32, %%mm1 \n\t" \
143  "paddq %%mm3, %%mm1 \n\t" \
144  "movd %%mm1, 28(%%edi) \n\t" \
145  "addl $32, %%edi \n\t" \
146  "addl $32, %%esi \n\t" \
147  "psrlq $32, %%mm1 \n\t" \
148  "movd %%mm1, %%ecx \n\t"
149 
150 #define MULADDC_STOP \
151  "emms \n\t" \
152  "movl %4, %%ebx \n\t" \
153  "movl %%ecx, %1 \n\t" \
154  "movl %%edi, %2 \n\t" \
155  "movl %%esi, %3 \n\t" \
156  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
157  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
158  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
159  );
160 
161 #else
162 
163 #define MULADDC_STOP \
164  "movl %4, %%ebx \n\t" \
165  "movl %%ecx, %1 \n\t" \
166  "movl %%edi, %2 \n\t" \
167  "movl %%esi, %3 \n\t" \
168  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
169  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
170  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
171  );
172 #endif /* SSE2 */
173 #endif /* i386 */
174 
175 #if defined(__amd64__) || defined (__x86_64__)
176 
177 #define MULADDC_INIT \
178  asm( \
179  "xorq %%r8, %%r8\n"
180 
181 #define MULADDC_CORE \
182  "movq (%%rsi), %%rax\n" \
183  "mulq %%rbx\n" \
184  "addq $8, %%rsi\n" \
185  "addq %%rcx, %%rax\n" \
186  "movq %%r8, %%rcx\n" \
187  "adcq $0, %%rdx\n" \
188  "nop \n" \
189  "addq %%rax, (%%rdi)\n" \
190  "adcq %%rdx, %%rcx\n" \
191  "addq $8, %%rdi\n"
192 
193 #define MULADDC_STOP \
194  : "+c" (c), "+D" (d), "+S" (s) \
195  : "b" (b) \
196  : "rax", "rdx", "r8" \
197  );
198 
199 #endif /* AMD64 */
200 
201 #if defined(__mc68020__) || defined(__mcpu32__)
202 
203 #define MULADDC_INIT \
204  asm( \
205  "movl %3, %%a2 \n\t" \
206  "movl %4, %%a3 \n\t" \
207  "movl %5, %%d3 \n\t" \
208  "movl %6, %%d2 \n\t" \
209  "moveq #0, %%d0 \n\t"
210 
211 #define MULADDC_CORE \
212  "movel %%a2@+, %%d1 \n\t" \
213  "mulul %%d2, %%d4:%%d1 \n\t" \
214  "addl %%d3, %%d1 \n\t" \
215  "addxl %%d0, %%d4 \n\t" \
216  "moveq #0, %%d3 \n\t" \
217  "addl %%d1, %%a3@+ \n\t" \
218  "addxl %%d4, %%d3 \n\t"
219 
220 #define MULADDC_STOP \
221  "movl %%d3, %0 \n\t" \
222  "movl %%a3, %1 \n\t" \
223  "movl %%a2, %2 \n\t" \
224  : "=m" (c), "=m" (d), "=m" (s) \
225  : "m" (s), "m" (d), "m" (c), "m" (b) \
226  : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
227  );
228 
229 #define MULADDC_HUIT \
230  "movel %%a2@+, %%d1 \n\t" \
231  "mulul %%d2, %%d4:%%d1 \n\t" \
232  "addxl %%d3, %%d1 \n\t" \
233  "addxl %%d0, %%d4 \n\t" \
234  "addl %%d1, %%a3@+ \n\t" \
235  "movel %%a2@+, %%d1 \n\t" \
236  "mulul %%d2, %%d3:%%d1 \n\t" \
237  "addxl %%d4, %%d1 \n\t" \
238  "addxl %%d0, %%d3 \n\t" \
239  "addl %%d1, %%a3@+ \n\t" \
240  "movel %%a2@+, %%d1 \n\t" \
241  "mulul %%d2, %%d4:%%d1 \n\t" \
242  "addxl %%d3, %%d1 \n\t" \
243  "addxl %%d0, %%d4 \n\t" \
244  "addl %%d1, %%a3@+ \n\t" \
245  "movel %%a2@+, %%d1 \n\t" \
246  "mulul %%d2, %%d3:%%d1 \n\t" \
247  "addxl %%d4, %%d1 \n\t" \
248  "addxl %%d0, %%d3 \n\t" \
249  "addl %%d1, %%a3@+ \n\t" \
250  "movel %%a2@+, %%d1 \n\t" \
251  "mulul %%d2, %%d4:%%d1 \n\t" \
252  "addxl %%d3, %%d1 \n\t" \
253  "addxl %%d0, %%d4 \n\t" \
254  "addl %%d1, %%a3@+ \n\t" \
255  "movel %%a2@+, %%d1 \n\t" \
256  "mulul %%d2, %%d3:%%d1 \n\t" \
257  "addxl %%d4, %%d1 \n\t" \
258  "addxl %%d0, %%d3 \n\t" \
259  "addl %%d1, %%a3@+ \n\t" \
260  "movel %%a2@+, %%d1 \n\t" \
261  "mulul %%d2, %%d4:%%d1 \n\t" \
262  "addxl %%d3, %%d1 \n\t" \
263  "addxl %%d0, %%d4 \n\t" \
264  "addl %%d1, %%a3@+ \n\t" \
265  "movel %%a2@+, %%d1 \n\t" \
266  "mulul %%d2, %%d3:%%d1 \n\t" \
267  "addxl %%d4, %%d1 \n\t" \
268  "addxl %%d0, %%d3 \n\t" \
269  "addl %%d1, %%a3@+ \n\t" \
270  "addxl %%d0, %%d3 \n\t"
271 
272 #endif /* MC68000 */
273 
274 #if defined(__powerpc64__) || defined(__ppc64__)
275 
276 #if defined(__MACH__) && defined(__APPLE__)
277 
278 #define MULADDC_INIT \
279  asm( \
280  "ld r3, %3 \n\t" \
281  "ld r4, %4 \n\t" \
282  "ld r5, %5 \n\t" \
283  "ld r6, %6 \n\t" \
284  "addi r3, r3, -8 \n\t" \
285  "addi r4, r4, -8 \n\t" \
286  "addic r5, r5, 0 \n\t"
287 
288 #define MULADDC_CORE \
289  "ldu r7, 8(r3) \n\t" \
290  "mulld r8, r7, r6 \n\t" \
291  "mulhdu r9, r7, r6 \n\t" \
292  "adde r8, r8, r5 \n\t" \
293  "ld r7, 8(r4) \n\t" \
294  "addze r5, r9 \n\t" \
295  "addc r8, r8, r7 \n\t" \
296  "stdu r8, 8(r4) \n\t"
297 
298 #define MULADDC_STOP \
299  "addze r5, r5 \n\t" \
300  "addi r4, r4, 8 \n\t" \
301  "addi r3, r3, 8 \n\t" \
302  "std r5, %0 \n\t" \
303  "std r4, %1 \n\t" \
304  "std r3, %2 \n\t" \
305  : "=m" (c), "=m" (d), "=m" (s) \
306  : "m" (s), "m" (d), "m" (c), "m" (b) \
307  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
308  );
309 
310 
311 #else /* __MACH__ && __APPLE__ */
312 
313 #define MULADDC_INIT \
314  asm( \
315  "ld %%r3, %3 \n\t" \
316  "ld %%r4, %4 \n\t" \
317  "ld %%r5, %5 \n\t" \
318  "ld %%r6, %6 \n\t" \
319  "addi %%r3, %%r3, -8 \n\t" \
320  "addi %%r4, %%r4, -8 \n\t" \
321  "addic %%r5, %%r5, 0 \n\t"
322 
323 #define MULADDC_CORE \
324  "ldu %%r7, 8(%%r3) \n\t" \
325  "mulld %%r8, %%r7, %%r6 \n\t" \
326  "mulhdu %%r9, %%r7, %%r6 \n\t" \
327  "adde %%r8, %%r8, %%r5 \n\t" \
328  "ld %%r7, 8(%%r4) \n\t" \
329  "addze %%r5, %%r9 \n\t" \
330  "addc %%r8, %%r8, %%r7 \n\t" \
331  "stdu %%r8, 8(%%r4) \n\t"
332 
333 #define MULADDC_STOP \
334  "addze %%r5, %%r5 \n\t" \
335  "addi %%r4, %%r4, 8 \n\t" \
336  "addi %%r3, %%r3, 8 \n\t" \
337  "std %%r5, %0 \n\t" \
338  "std %%r4, %1 \n\t" \
339  "std %%r3, %2 \n\t" \
340  : "=m" (c), "=m" (d), "=m" (s) \
341  : "m" (s), "m" (d), "m" (c), "m" (b) \
342  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
343  );
344 
345 #endif /* __MACH__ && __APPLE__ */
346 
347 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
348 
349 #if defined(__MACH__) && defined(__APPLE__)
350 
351 #define MULADDC_INIT \
352  asm( \
353  "lwz r3, %3 \n\t" \
354  "lwz r4, %4 \n\t" \
355  "lwz r5, %5 \n\t" \
356  "lwz r6, %6 \n\t" \
357  "addi r3, r3, -4 \n\t" \
358  "addi r4, r4, -4 \n\t" \
359  "addic r5, r5, 0 \n\t"
360 
361 #define MULADDC_CORE \
362  "lwzu r7, 4(r3) \n\t" \
363  "mullw r8, r7, r6 \n\t" \
364  "mulhwu r9, r7, r6 \n\t" \
365  "adde r8, r8, r5 \n\t" \
366  "lwz r7, 4(r4) \n\t" \
367  "addze r5, r9 \n\t" \
368  "addc r8, r8, r7 \n\t" \
369  "stwu r8, 4(r4) \n\t"
370 
371 #define MULADDC_STOP \
372  "addze r5, r5 \n\t" \
373  "addi r4, r4, 4 \n\t" \
374  "addi r3, r3, 4 \n\t" \
375  "stw r5, %0 \n\t" \
376  "stw r4, %1 \n\t" \
377  "stw r3, %2 \n\t" \
378  : "=m" (c), "=m" (d), "=m" (s) \
379  : "m" (s), "m" (d), "m" (c), "m" (b) \
380  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
381  );
382 
383 #else /* __MACH__ && __APPLE__ */
384 
385 #define MULADDC_INIT \
386  asm( \
387  "lwz %%r3, %3 \n\t" \
388  "lwz %%r4, %4 \n\t" \
389  "lwz %%r5, %5 \n\t" \
390  "lwz %%r6, %6 \n\t" \
391  "addi %%r3, %%r3, -4 \n\t" \
392  "addi %%r4, %%r4, -4 \n\t" \
393  "addic %%r5, %%r5, 0 \n\t"
394 
395 #define MULADDC_CORE \
396  "lwzu %%r7, 4(%%r3) \n\t" \
397  "mullw %%r8, %%r7, %%r6 \n\t" \
398  "mulhwu %%r9, %%r7, %%r6 \n\t" \
399  "adde %%r8, %%r8, %%r5 \n\t" \
400  "lwz %%r7, 4(%%r4) \n\t" \
401  "addze %%r5, %%r9 \n\t" \
402  "addc %%r8, %%r8, %%r7 \n\t" \
403  "stwu %%r8, 4(%%r4) \n\t"
404 
405 #define MULADDC_STOP \
406  "addze %%r5, %%r5 \n\t" \
407  "addi %%r4, %%r4, 4 \n\t" \
408  "addi %%r3, %%r3, 4 \n\t" \
409  "stw %%r5, %0 \n\t" \
410  "stw %%r4, %1 \n\t" \
411  "stw %%r3, %2 \n\t" \
412  : "=m" (c), "=m" (d), "=m" (s) \
413  : "m" (s), "m" (d), "m" (c), "m" (b) \
414  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
415  );
416 
417 #endif /* __MACH__ && __APPLE__ */
418 
419 #endif /* PPC32 */
420 
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 
428 #define MULADDC_INIT \
429  asm( \
430  "ldx %3, %%o0 \n\t" \
431  "ldx %4, %%o1 \n\t" \
432  "ld %5, %%o2 \n\t" \
433  "ld %6, %%o3 \n\t"
434 
435 #define MULADDC_CORE \
436  "ld [%%o0], %%o4 \n\t" \
437  "inc 4, %%o0 \n\t" \
438  "ld [%%o1], %%o5 \n\t" \
439  "umul %%o3, %%o4, %%o4 \n\t" \
440  "addcc %%o4, %%o2, %%o4 \n\t" \
441  "rd %%y, %%g1 \n\t" \
442  "addx %%g1, 0, %%g1 \n\t" \
443  "addcc %%o4, %%o5, %%o4 \n\t" \
444  "st %%o4, [%%o1] \n\t" \
445  "addx %%g1, 0, %%o2 \n\t" \
446  "inc 4, %%o1 \n\t"
447 
448  #define MULADDC_STOP \
449  "st %%o2, %0 \n\t" \
450  "stx %%o1, %1 \n\t" \
451  "stx %%o0, %2 \n\t" \
452  : "=m" (c), "=m" (d), "=m" (s) \
453  : "m" (s), "m" (d), "m" (c), "m" (b) \
454  : "g1", "o0", "o1", "o2", "o3", "o4", \
455  "o5" \
456  );
457 
458 #else /* __sparc64__ */
459 
460 #define MULADDC_INIT \
461  asm( \
462  "ld %3, %%o0 \n\t" \
463  "ld %4, %%o1 \n\t" \
464  "ld %5, %%o2 \n\t" \
465  "ld %6, %%o3 \n\t"
466 
467 #define MULADDC_CORE \
468  "ld [%%o0], %%o4 \n\t" \
469  "inc 4, %%o0 \n\t" \
470  "ld [%%o1], %%o5 \n\t" \
471  "umul %%o3, %%o4, %%o4 \n\t" \
472  "addcc %%o4, %%o2, %%o4 \n\t" \
473  "rd %%y, %%g1 \n\t" \
474  "addx %%g1, 0, %%g1 \n\t" \
475  "addcc %%o4, %%o5, %%o4 \n\t" \
476  "st %%o4, [%%o1] \n\t" \
477  "addx %%g1, 0, %%o2 \n\t" \
478  "inc 4, %%o1 \n\t"
479 
480 #define MULADDC_STOP \
481  "st %%o2, %0 \n\t" \
482  "st %%o1, %1 \n\t" \
483  "st %%o0, %2 \n\t" \
484  : "=m" (c), "=m" (d), "=m" (s) \
485  : "m" (s), "m" (d), "m" (c), "m" (b) \
486  : "g1", "o0", "o1", "o2", "o3", "o4", \
487  "o5" \
488  );
489 
490 #endif /* __sparc64__ */
491 #endif /* __sparc__ */
492 
493 #if defined(__microblaze__) || defined(microblaze)
494 
495 #define MULADDC_INIT \
496  asm( \
497  "lwi r3, %3 \n\t" \
498  "lwi r4, %4 \n\t" \
499  "lwi r5, %5 \n\t" \
500  "lwi r6, %6 \n\t" \
501  "andi r7, r6, 0xffff \n\t" \
502  "bsrli r6, r6, 16 \n\t"
503 
504 #define MULADDC_CORE \
505  "lhui r8, r3, 0 \n\t" \
506  "addi r3, r3, 2 \n\t" \
507  "lhui r9, r3, 0 \n\t" \
508  "addi r3, r3, 2 \n\t" \
509  "mul r10, r9, r6 \n\t" \
510  "mul r11, r8, r7 \n\t" \
511  "mul r12, r9, r7 \n\t" \
512  "mul r13, r8, r6 \n\t" \
513  "bsrli r8, r10, 16 \n\t" \
514  "bsrli r9, r11, 16 \n\t" \
515  "add r13, r13, r8 \n\t" \
516  "add r13, r13, r9 \n\t" \
517  "bslli r10, r10, 16 \n\t" \
518  "bslli r11, r11, 16 \n\t" \
519  "add r12, r12, r10 \n\t" \
520  "addc r13, r13, r0 \n\t" \
521  "add r12, r12, r11 \n\t" \
522  "addc r13, r13, r0 \n\t" \
523  "lwi r10, r4, 0 \n\t" \
524  "add r12, r12, r10 \n\t" \
525  "addc r13, r13, r0 \n\t" \
526  "add r12, r12, r5 \n\t" \
527  "addc r5, r13, r0 \n\t" \
528  "swi r12, r4, 0 \n\t" \
529  "addi r4, r4, 4 \n\t"
530 
531 #define MULADDC_STOP \
532  "swi r5, %0 \n\t" \
533  "swi r4, %1 \n\t" \
534  "swi r3, %2 \n\t" \
535  : "=m" (c), "=m" (d), "=m" (s) \
536  : "m" (s), "m" (d), "m" (c), "m" (b) \
537  : "r3", "r4", "r5", "r6", "r7", "r8", \
538  "r9", "r10", "r11", "r12", "r13" \
539  );
540 
541 #endif /* MicroBlaze */
542 
543 #if defined(__tricore__)
544 
545 #define MULADDC_INIT \
546  asm( \
547  "ld.a %%a2, %3 \n\t" \
548  "ld.a %%a3, %4 \n\t" \
549  "ld.w %%d4, %5 \n\t" \
550  "ld.w %%d1, %6 \n\t" \
551  "xor %%d5, %%d5 \n\t"
552 
553 #define MULADDC_CORE \
554  "ld.w %%d0, [%%a2+] \n\t" \
555  "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
556  "ld.w %%d0, [%%a3] \n\t" \
557  "addx %%d2, %%d2, %%d0 \n\t" \
558  "addc %%d3, %%d3, 0 \n\t" \
559  "mov %%d4, %%d3 \n\t" \
560  "st.w [%%a3+], %%d2 \n\t"
561 
562 #define MULADDC_STOP \
563  "st.w %0, %%d4 \n\t" \
564  "st.a %1, %%a3 \n\t" \
565  "st.a %2, %%a2 \n\t" \
566  : "=m" (c), "=m" (d), "=m" (s) \
567  : "m" (s), "m" (d), "m" (c), "m" (b) \
568  : "d0", "d1", "e2", "d4", "a2", "a3" \
569  );
570 
571 #endif /* TriCore */
572 
573 /*
574  * Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about
575  * our use of r7 below, unless -fomit-frame-pointer is passed.
576  *
577  * On the other hand, -fomit-frame-pointer is implied by any -Ox options with
578  * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
579  * clang and armcc5 under the same conditions).
580  *
581  * So, only use the optimized assembly below for optimized build, which avoids
582  * the build error and is pretty reasonable anyway.
583  */
584 #if defined(__GNUC__) && !defined(__OPTIMIZE__)
585 #define MULADDC_CANNOT_USE_R7
586 #endif
587 
588 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
589 
590 #if defined(__thumb__) && !defined(__thumb2__)
591 
592 #define MULADDC_INIT \
593  asm( \
594  "ldr r0, %3 \n\t" \
595  "ldr r1, %4 \n\t" \
596  "ldr r2, %5 \n\t" \
597  "ldr r3, %6 \n\t" \
598  "lsr r7, r3, #16 \n\t" \
599  "mov r9, r7 \n\t" \
600  "lsl r7, r3, #16 \n\t" \
601  "lsr r7, r7, #16 \n\t" \
602  "mov r8, r7 \n\t"
603 
604 #define MULADDC_CORE \
605  "ldmia r0!, {r6} \n\t" \
606  "lsr r7, r6, #16 \n\t" \
607  "lsl r6, r6, #16 \n\t" \
608  "lsr r6, r6, #16 \n\t" \
609  "mov r4, r8 \n\t" \
610  "mul r4, r6 \n\t" \
611  "mov r3, r9 \n\t" \
612  "mul r6, r3 \n\t" \
613  "mov r5, r9 \n\t" \
614  "mul r5, r7 \n\t" \
615  "mov r3, r8 \n\t" \
616  "mul r7, r3 \n\t" \
617  "lsr r3, r6, #16 \n\t" \
618  "add r5, r5, r3 \n\t" \
619  "lsr r3, r7, #16 \n\t" \
620  "add r5, r5, r3 \n\t" \
621  "add r4, r4, r2 \n\t" \
622  "mov r2, #0 \n\t" \
623  "adc r5, r2 \n\t" \
624  "lsl r3, r6, #16 \n\t" \
625  "add r4, r4, r3 \n\t" \
626  "adc r5, r2 \n\t" \
627  "lsl r3, r7, #16 \n\t" \
628  "add r4, r4, r3 \n\t" \
629  "adc r5, r2 \n\t" \
630  "ldr r3, [r1] \n\t" \
631  "add r4, r4, r3 \n\t" \
632  "adc r2, r5 \n\t" \
633  "stmia r1!, {r4} \n\t"
634 
635 #define MULADDC_STOP \
636  "str r2, %0 \n\t" \
637  "str r1, %1 \n\t" \
638  "str r0, %2 \n\t" \
639  : "=m" (c), "=m" (d), "=m" (s) \
640  : "m" (s), "m" (d), "m" (c), "m" (b) \
641  : "r0", "r1", "r2", "r3", "r4", "r5", \
642  "r6", "r7", "r8", "r9", "cc" \
643  );
644 
645 #elif (__ARM_ARCH >= 6) && \
646  defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)
647 
648 #define MULADDC_INIT \
649  asm(
650 
651 #define MULADDC_CORE \
652  "ldr r0, [%0], #4 \n\t" \
653  "ldr r1, [%1] \n\t" \
654  "umaal r1, %2, %3, r0 \n\t" \
655  "str r1, [%1], #4 \n\t"
656 
657 #define MULADDC_STOP \
658  : "=r" (s), "=r" (d), "=r" (c) \
659  : "r" (b), "0" (s), "1" (d), "2" (c) \
660  : "r0", "r1", "memory" \
661  );
662 
663 #else
664 
665 #define MULADDC_INIT \
666  asm( \
667  "ldr r0, %3 \n\t" \
668  "ldr r1, %4 \n\t" \
669  "ldr r2, %5 \n\t" \
670  "ldr r3, %6 \n\t"
671 
672 #define MULADDC_CORE \
673  "ldr r4, [r0], #4 \n\t" \
674  "mov r5, #0 \n\t" \
675  "ldr r6, [r1] \n\t" \
676  "umlal r2, r5, r3, r4 \n\t" \
677  "adds r7, r6, r2 \n\t" \
678  "adc r2, r5, #0 \n\t" \
679  "str r7, [r1], #4 \n\t"
680 
681 #define MULADDC_STOP \
682  "str r2, %0 \n\t" \
683  "str r1, %1 \n\t" \
684  "str r0, %2 \n\t" \
685  : "=m" (c), "=m" (d), "=m" (s) \
686  : "m" (s), "m" (d), "m" (c), "m" (b) \
687  : "r0", "r1", "r2", "r3", "r4", "r5", \
688  "r6", "r7", "cc" \
689  );
690 
691 #endif /* Thumb */
692 
693 #endif /* ARMv3 */
694 
695 #if defined(__alpha__)
696 
697 #define MULADDC_INIT \
698  asm( \
699  "ldq $1, %3 \n\t" \
700  "ldq $2, %4 \n\t" \
701  "ldq $3, %5 \n\t" \
702  "ldq $4, %6 \n\t"
703 
704 #define MULADDC_CORE \
705  "ldq $6, 0($1) \n\t" \
706  "addq $1, 8, $1 \n\t" \
707  "mulq $6, $4, $7 \n\t" \
708  "umulh $6, $4, $6 \n\t" \
709  "addq $7, $3, $7 \n\t" \
710  "cmpult $7, $3, $3 \n\t" \
711  "ldq $5, 0($2) \n\t" \
712  "addq $7, $5, $7 \n\t" \
713  "cmpult $7, $5, $5 \n\t" \
714  "stq $7, 0($2) \n\t" \
715  "addq $2, 8, $2 \n\t" \
716  "addq $6, $3, $3 \n\t" \
717  "addq $5, $3, $3 \n\t"
718 
719 #define MULADDC_STOP \
720  "stq $3, %0 \n\t" \
721  "stq $2, %1 \n\t" \
722  "stq $1, %2 \n\t" \
723  : "=m" (c), "=m" (d), "=m" (s) \
724  : "m" (s), "m" (d), "m" (c), "m" (b) \
725  : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
726  );
727 #endif /* Alpha */
728 
729 #if defined(__mips__) && !defined(__mips64)
730 
731 #define MULADDC_INIT \
732  asm( \
733  "lw $10, %3 \n\t" \
734  "lw $11, %4 \n\t" \
735  "lw $12, %5 \n\t" \
736  "lw $13, %6 \n\t"
737 
738 #define MULADDC_CORE \
739  "lw $14, 0($10) \n\t" \
740  "multu $13, $14 \n\t" \
741  "addi $10, $10, 4 \n\t" \
742  "mflo $14 \n\t" \
743  "mfhi $9 \n\t" \
744  "addu $14, $12, $14 \n\t" \
745  "lw $15, 0($11) \n\t" \
746  "sltu $12, $14, $12 \n\t" \
747  "addu $15, $14, $15 \n\t" \
748  "sltu $14, $15, $14 \n\t" \
749  "addu $12, $12, $9 \n\t" \
750  "sw $15, 0($11) \n\t" \
751  "addu $12, $12, $14 \n\t" \
752  "addi $11, $11, 4 \n\t"
753 
754 #define MULADDC_STOP \
755  "sw $12, %0 \n\t" \
756  "sw $11, %1 \n\t" \
757  "sw $10, %2 \n\t" \
758  : "=m" (c), "=m" (d), "=m" (s) \
759  : "m" (s), "m" (d), "m" (c), "m" (b) \
760  : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \
761  );
762 
763 #endif /* MIPS */
764 #endif /* GNUC */
765 
766 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
767 
768 #define MULADDC_INIT \
769  __asm mov esi, s \
770  __asm mov edi, d \
771  __asm mov ecx, c \
772  __asm mov ebx, b
773 
774 #define MULADDC_CORE \
775  __asm lodsd \
776  __asm mul ebx \
777  __asm add eax, ecx \
778  __asm adc edx, 0 \
779  __asm add eax, [edi] \
780  __asm adc edx, 0 \
781  __asm mov ecx, edx \
782  __asm stosd
783 
784 #if defined(MBEDTLS_HAVE_SSE2)
785 
786 #define EMIT __asm _emit
787 
788 #define MULADDC_HUIT \
789  EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
790  EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
791  EMIT 0x0F EMIT 0x6E EMIT 0x1F \
792  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
793  EMIT 0x0F EMIT 0x6E EMIT 0x16 \
794  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
795  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
796  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
797  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
798  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
799  EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
800  EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
801  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
802  EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
803  EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
804  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
805  EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
806  EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
807  EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
808  EMIT 0x0F EMIT 0x7E EMIT 0x0F \
809  EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
810  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
811  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
812  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
813  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
814  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
815  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
816  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
817  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
818  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
819  EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
820  EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
821  EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
822  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
823  EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
824  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
825  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
826  EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
827  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
828  EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
829  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
830  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
831  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
832  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
833  EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
834  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
835  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
836  EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
837  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
838  EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
839  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
840  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
841  EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
842  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
843  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
844  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
845  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
846  EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
847  EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
848  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
849  EMIT 0x0F EMIT 0x7E EMIT 0xC9
850 
851 #define MULADDC_STOP \
852  EMIT 0x0F EMIT 0x77 \
853  __asm mov c, ecx \
854  __asm mov d, edi \
855  __asm mov s, esi \
856 
857 #else
858 
859 #define MULADDC_STOP \
860  __asm mov c, ecx \
861  __asm mov d, edi \
862  __asm mov s, esi \
863 
864 #endif /* SSE2 */
865 #endif /* MSVC */
866 
867 #endif /* MBEDTLS_HAVE_ASM */
868 
869 #if !defined(MULADDC_CORE)
870 #if defined(MBEDTLS_HAVE_UDBL)
871 
872 #define MULADDC_INIT \
873 { \
874  mbedtls_t_udbl r; \
875  mbedtls_mpi_uint r0, r1;
876 
877 #define MULADDC_CORE \
878  r = *(s++) * (mbedtls_t_udbl) b; \
879  r0 = (mbedtls_mpi_uint) r; \
880  r1 = (mbedtls_mpi_uint)( r >> biL ); \
881  r0 += c; r1 += (r0 < c); \
882  r0 += *d; r1 += (r0 < *d); \
883  c = r1; *(d++) = r0;
884 
885 #define MULADDC_STOP \
886 }
887 
888 #else
889 #define MULADDC_INIT \
890 { \
891  mbedtls_mpi_uint s0, s1, b0, b1; \
892  mbedtls_mpi_uint r0, r1, rx, ry; \
893  b0 = ( b << biH ) >> biH; \
894  b1 = ( b >> biH );
895 
896 #define MULADDC_CORE \
897  s0 = ( *s << biH ) >> biH; \
898  s1 = ( *s >> biH ); s++; \
899  rx = s0 * b1; r0 = s0 * b0; \
900  ry = s1 * b0; r1 = s1 * b1; \
901  r1 += ( rx >> biH ); \
902  r1 += ( ry >> biH ); \
903  rx <<= biH; ry <<= biH; \
904  r0 += rx; r1 += (r0 < rx); \
905  r0 += ry; r1 += (r0 < ry); \
906  r0 += c; r1 += (r0 < c); \
907  r0 += *d; r1 += (r0 < *d); \
908  c = r1; *(d++) = r0;
909 
910 #define MULADDC_STOP \
911 }
912 
913 #endif /* C (generic) */
914 #endif /* C (longlong) */
915 
916 #endif /* bn_mul.h */
bignum.h
Multi-precision integer library.
config.h
Configuration options (set of defines)