mbed TLS v2.24.0
bn_mul.h
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1 
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 
39 #if !defined(MBEDTLS_CONFIG_FILE)
40 #include "mbedtls/config.h"
41 #else
42 #include MBEDTLS_CONFIG_FILE
43 #endif
44 
45 #include "mbedtls/bignum.h"
46 
47 #if defined(MBEDTLS_HAVE_ASM)
48 
49 #ifndef asm
50 #define asm __asm
51 #endif
52 
53 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
54 #if defined(__GNUC__) && \
55  ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
56 
57 /*
58  * Disable use of the i386 assembly code below if option -O0, to disable all
59  * compiler optimisations, is passed, detected with __OPTIMIZE__
60  * This is done as the number of registers used in the assembly code doesn't
61  * work with the -O0 option.
62  */
63 #if defined(__i386__) && defined(__OPTIMIZE__)
64 
65 #define MULADDC_INIT \
66  asm( \
67  "movl %%ebx, %0 \n\t" \
68  "movl %5, %%esi \n\t" \
69  "movl %6, %%edi \n\t" \
70  "movl %7, %%ecx \n\t" \
71  "movl %8, %%ebx \n\t"
72 
73 #define MULADDC_CORE \
74  "lodsl \n\t" \
75  "mull %%ebx \n\t" \
76  "addl %%ecx, %%eax \n\t" \
77  "adcl $0, %%edx \n\t" \
78  "addl (%%edi), %%eax \n\t" \
79  "adcl $0, %%edx \n\t" \
80  "movl %%edx, %%ecx \n\t" \
81  "stosl \n\t"
82 
83 #if defined(MBEDTLS_HAVE_SSE2)
84 
85 #define MULADDC_HUIT \
86  "movd %%ecx, %%mm1 \n\t" \
87  "movd %%ebx, %%mm0 \n\t" \
88  "movd (%%edi), %%mm3 \n\t" \
89  "paddq %%mm3, %%mm1 \n\t" \
90  "movd (%%esi), %%mm2 \n\t" \
91  "pmuludq %%mm0, %%mm2 \n\t" \
92  "movd 4(%%esi), %%mm4 \n\t" \
93  "pmuludq %%mm0, %%mm4 \n\t" \
94  "movd 8(%%esi), %%mm6 \n\t" \
95  "pmuludq %%mm0, %%mm6 \n\t" \
96  "movd 12(%%esi), %%mm7 \n\t" \
97  "pmuludq %%mm0, %%mm7 \n\t" \
98  "paddq %%mm2, %%mm1 \n\t" \
99  "movd 4(%%edi), %%mm3 \n\t" \
100  "paddq %%mm4, %%mm3 \n\t" \
101  "movd 8(%%edi), %%mm5 \n\t" \
102  "paddq %%mm6, %%mm5 \n\t" \
103  "movd 12(%%edi), %%mm4 \n\t" \
104  "paddq %%mm4, %%mm7 \n\t" \
105  "movd %%mm1, (%%edi) \n\t" \
106  "movd 16(%%esi), %%mm2 \n\t" \
107  "pmuludq %%mm0, %%mm2 \n\t" \
108  "psrlq $32, %%mm1 \n\t" \
109  "movd 20(%%esi), %%mm4 \n\t" \
110  "pmuludq %%mm0, %%mm4 \n\t" \
111  "paddq %%mm3, %%mm1 \n\t" \
112  "movd 24(%%esi), %%mm6 \n\t" \
113  "pmuludq %%mm0, %%mm6 \n\t" \
114  "movd %%mm1, 4(%%edi) \n\t" \
115  "psrlq $32, %%mm1 \n\t" \
116  "movd 28(%%esi), %%mm3 \n\t" \
117  "pmuludq %%mm0, %%mm3 \n\t" \
118  "paddq %%mm5, %%mm1 \n\t" \
119  "movd 16(%%edi), %%mm5 \n\t" \
120  "paddq %%mm5, %%mm2 \n\t" \
121  "movd %%mm1, 8(%%edi) \n\t" \
122  "psrlq $32, %%mm1 \n\t" \
123  "paddq %%mm7, %%mm1 \n\t" \
124  "movd 20(%%edi), %%mm5 \n\t" \
125  "paddq %%mm5, %%mm4 \n\t" \
126  "movd %%mm1, 12(%%edi) \n\t" \
127  "psrlq $32, %%mm1 \n\t" \
128  "paddq %%mm2, %%mm1 \n\t" \
129  "movd 24(%%edi), %%mm5 \n\t" \
130  "paddq %%mm5, %%mm6 \n\t" \
131  "movd %%mm1, 16(%%edi) \n\t" \
132  "psrlq $32, %%mm1 \n\t" \
133  "paddq %%mm4, %%mm1 \n\t" \
134  "movd 28(%%edi), %%mm5 \n\t" \
135  "paddq %%mm5, %%mm3 \n\t" \
136  "movd %%mm1, 20(%%edi) \n\t" \
137  "psrlq $32, %%mm1 \n\t" \
138  "paddq %%mm6, %%mm1 \n\t" \
139  "movd %%mm1, 24(%%edi) \n\t" \
140  "psrlq $32, %%mm1 \n\t" \
141  "paddq %%mm3, %%mm1 \n\t" \
142  "movd %%mm1, 28(%%edi) \n\t" \
143  "addl $32, %%edi \n\t" \
144  "addl $32, %%esi \n\t" \
145  "psrlq $32, %%mm1 \n\t" \
146  "movd %%mm1, %%ecx \n\t"
147 
148 #define MULADDC_STOP \
149  "emms \n\t" \
150  "movl %4, %%ebx \n\t" \
151  "movl %%ecx, %1 \n\t" \
152  "movl %%edi, %2 \n\t" \
153  "movl %%esi, %3 \n\t" \
154  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
155  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
156  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
157  );
158 
159 #else
160 
161 #define MULADDC_STOP \
162  "movl %4, %%ebx \n\t" \
163  "movl %%ecx, %1 \n\t" \
164  "movl %%edi, %2 \n\t" \
165  "movl %%esi, %3 \n\t" \
166  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
167  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
168  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
169  );
170 #endif /* SSE2 */
171 #endif /* i386 */
172 
173 #if defined(__amd64__) || defined (__x86_64__)
174 
175 #define MULADDC_INIT \
176  asm( \
177  "xorq %%r8, %%r8\n"
178 
179 #define MULADDC_CORE \
180  "movq (%%rsi), %%rax\n" \
181  "mulq %%rbx\n" \
182  "addq $8, %%rsi\n" \
183  "addq %%rcx, %%rax\n" \
184  "movq %%r8, %%rcx\n" \
185  "adcq $0, %%rdx\n" \
186  "nop \n" \
187  "addq %%rax, (%%rdi)\n" \
188  "adcq %%rdx, %%rcx\n" \
189  "addq $8, %%rdi\n"
190 
191 #define MULADDC_STOP \
192  : "+c" (c), "+D" (d), "+S" (s) \
193  : "b" (b) \
194  : "rax", "rdx", "r8" \
195  );
196 
197 #endif /* AMD64 */
198 
199 #if defined(__aarch64__)
200 
201 #define MULADDC_INIT \
202  asm(
203 
204 #define MULADDC_CORE \
205  "ldr x4, [%2], #8 \n\t" \
206  "ldr x5, [%1] \n\t" \
207  "mul x6, x4, %3 \n\t" \
208  "umulh x7, x4, %3 \n\t" \
209  "adds x5, x5, x6 \n\t" \
210  "adc x7, x7, xzr \n\t" \
211  "adds x5, x5, %0 \n\t" \
212  "adc %0, x7, xzr \n\t" \
213  "str x5, [%1], #8 \n\t"
214 
215 #define MULADDC_STOP \
216  : "+r" (c), "+r" (d), "+r" (s) \
217  : "r" (b) \
218  : "x4", "x5", "x6", "x7", "cc" \
219  );
220 
221 #endif /* Aarch64 */
222 
223 #if defined(__mc68020__) || defined(__mcpu32__)
224 
225 #define MULADDC_INIT \
226  asm( \
227  "movl %3, %%a2 \n\t" \
228  "movl %4, %%a3 \n\t" \
229  "movl %5, %%d3 \n\t" \
230  "movl %6, %%d2 \n\t" \
231  "moveq #0, %%d0 \n\t"
232 
233 #define MULADDC_CORE \
234  "movel %%a2@+, %%d1 \n\t" \
235  "mulul %%d2, %%d4:%%d1 \n\t" \
236  "addl %%d3, %%d1 \n\t" \
237  "addxl %%d0, %%d4 \n\t" \
238  "moveq #0, %%d3 \n\t" \
239  "addl %%d1, %%a3@+ \n\t" \
240  "addxl %%d4, %%d3 \n\t"
241 
242 #define MULADDC_STOP \
243  "movl %%d3, %0 \n\t" \
244  "movl %%a3, %1 \n\t" \
245  "movl %%a2, %2 \n\t" \
246  : "=m" (c), "=m" (d), "=m" (s) \
247  : "m" (s), "m" (d), "m" (c), "m" (b) \
248  : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
249  );
250 
251 #define MULADDC_HUIT \
252  "movel %%a2@+, %%d1 \n\t" \
253  "mulul %%d2, %%d4:%%d1 \n\t" \
254  "addxl %%d3, %%d1 \n\t" \
255  "addxl %%d0, %%d4 \n\t" \
256  "addl %%d1, %%a3@+ \n\t" \
257  "movel %%a2@+, %%d1 \n\t" \
258  "mulul %%d2, %%d3:%%d1 \n\t" \
259  "addxl %%d4, %%d1 \n\t" \
260  "addxl %%d0, %%d3 \n\t" \
261  "addl %%d1, %%a3@+ \n\t" \
262  "movel %%a2@+, %%d1 \n\t" \
263  "mulul %%d2, %%d4:%%d1 \n\t" \
264  "addxl %%d3, %%d1 \n\t" \
265  "addxl %%d0, %%d4 \n\t" \
266  "addl %%d1, %%a3@+ \n\t" \
267  "movel %%a2@+, %%d1 \n\t" \
268  "mulul %%d2, %%d3:%%d1 \n\t" \
269  "addxl %%d4, %%d1 \n\t" \
270  "addxl %%d0, %%d3 \n\t" \
271  "addl %%d1, %%a3@+ \n\t" \
272  "movel %%a2@+, %%d1 \n\t" \
273  "mulul %%d2, %%d4:%%d1 \n\t" \
274  "addxl %%d3, %%d1 \n\t" \
275  "addxl %%d0, %%d4 \n\t" \
276  "addl %%d1, %%a3@+ \n\t" \
277  "movel %%a2@+, %%d1 \n\t" \
278  "mulul %%d2, %%d3:%%d1 \n\t" \
279  "addxl %%d4, %%d1 \n\t" \
280  "addxl %%d0, %%d3 \n\t" \
281  "addl %%d1, %%a3@+ \n\t" \
282  "movel %%a2@+, %%d1 \n\t" \
283  "mulul %%d2, %%d4:%%d1 \n\t" \
284  "addxl %%d3, %%d1 \n\t" \
285  "addxl %%d0, %%d4 \n\t" \
286  "addl %%d1, %%a3@+ \n\t" \
287  "movel %%a2@+, %%d1 \n\t" \
288  "mulul %%d2, %%d3:%%d1 \n\t" \
289  "addxl %%d4, %%d1 \n\t" \
290  "addxl %%d0, %%d3 \n\t" \
291  "addl %%d1, %%a3@+ \n\t" \
292  "addxl %%d0, %%d3 \n\t"
293 
294 #endif /* MC68000 */
295 
296 #if defined(__powerpc64__) || defined(__ppc64__)
297 
298 #if defined(__MACH__) && defined(__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 
333 #else /* __MACH__ && __APPLE__ */
334 
335 #define MULADDC_INIT \
336  asm( \
337  "ld %%r3, %3 \n\t" \
338  "ld %%r4, %4 \n\t" \
339  "ld %%r5, %5 \n\t" \
340  "ld %%r6, %6 \n\t" \
341  "addi %%r3, %%r3, -8 \n\t" \
342  "addi %%r4, %%r4, -8 \n\t" \
343  "addic %%r5, %%r5, 0 \n\t"
344 
345 #define MULADDC_CORE \
346  "ldu %%r7, 8(%%r3) \n\t" \
347  "mulld %%r8, %%r7, %%r6 \n\t" \
348  "mulhdu %%r9, %%r7, %%r6 \n\t" \
349  "adde %%r8, %%r8, %%r5 \n\t" \
350  "ld %%r7, 8(%%r4) \n\t" \
351  "addze %%r5, %%r9 \n\t" \
352  "addc %%r8, %%r8, %%r7 \n\t" \
353  "stdu %%r8, 8(%%r4) \n\t"
354 
355 #define MULADDC_STOP \
356  "addze %%r5, %%r5 \n\t" \
357  "addi %%r4, %%r4, 8 \n\t" \
358  "addi %%r3, %%r3, 8 \n\t" \
359  "std %%r5, %0 \n\t" \
360  "std %%r4, %1 \n\t" \
361  "std %%r3, %2 \n\t" \
362  : "=m" (c), "=m" (d), "=m" (s) \
363  : "m" (s), "m" (d), "m" (c), "m" (b) \
364  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
365  );
366 
367 #endif /* __MACH__ && __APPLE__ */
368 
369 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
370 
371 #if defined(__MACH__) && defined(__APPLE__)
372 
373 #define MULADDC_INIT \
374  asm( \
375  "lwz r3, %3 \n\t" \
376  "lwz r4, %4 \n\t" \
377  "lwz r5, %5 \n\t" \
378  "lwz r6, %6 \n\t" \
379  "addi r3, r3, -4 \n\t" \
380  "addi r4, r4, -4 \n\t" \
381  "addic r5, r5, 0 \n\t"
382 
383 #define MULADDC_CORE \
384  "lwzu r7, 4(r3) \n\t" \
385  "mullw r8, r7, r6 \n\t" \
386  "mulhwu r9, r7, r6 \n\t" \
387  "adde r8, r8, r5 \n\t" \
388  "lwz r7, 4(r4) \n\t" \
389  "addze r5, r9 \n\t" \
390  "addc r8, r8, r7 \n\t" \
391  "stwu r8, 4(r4) \n\t"
392 
393 #define MULADDC_STOP \
394  "addze r5, r5 \n\t" \
395  "addi r4, r4, 4 \n\t" \
396  "addi r3, r3, 4 \n\t" \
397  "stw r5, %0 \n\t" \
398  "stw r4, %1 \n\t" \
399  "stw r3, %2 \n\t" \
400  : "=m" (c), "=m" (d), "=m" (s) \
401  : "m" (s), "m" (d), "m" (c), "m" (b) \
402  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
403  );
404 
405 #else /* __MACH__ && __APPLE__ */
406 
407 #define MULADDC_INIT \
408  asm( \
409  "lwz %%r3, %3 \n\t" \
410  "lwz %%r4, %4 \n\t" \
411  "lwz %%r5, %5 \n\t" \
412  "lwz %%r6, %6 \n\t" \
413  "addi %%r3, %%r3, -4 \n\t" \
414  "addi %%r4, %%r4, -4 \n\t" \
415  "addic %%r5, %%r5, 0 \n\t"
416 
417 #define MULADDC_CORE \
418  "lwzu %%r7, 4(%%r3) \n\t" \
419  "mullw %%r8, %%r7, %%r6 \n\t" \
420  "mulhwu %%r9, %%r7, %%r6 \n\t" \
421  "adde %%r8, %%r8, %%r5 \n\t" \
422  "lwz %%r7, 4(%%r4) \n\t" \
423  "addze %%r5, %%r9 \n\t" \
424  "addc %%r8, %%r8, %%r7 \n\t" \
425  "stwu %%r8, 4(%%r4) \n\t"
426 
427 #define MULADDC_STOP \
428  "addze %%r5, %%r5 \n\t" \
429  "addi %%r4, %%r4, 4 \n\t" \
430  "addi %%r3, %%r3, 4 \n\t" \
431  "stw %%r5, %0 \n\t" \
432  "stw %%r4, %1 \n\t" \
433  "stw %%r3, %2 \n\t" \
434  : "=m" (c), "=m" (d), "=m" (s) \
435  : "m" (s), "m" (d), "m" (c), "m" (b) \
436  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
437  );
438 
439 #endif /* __MACH__ && __APPLE__ */
440 
441 #endif /* PPC32 */
442 
443 /*
444  * The Sparc(64) assembly is reported to be broken.
445  * Disable it for now, until we're able to fix it.
446  */
447 #if 0 && defined(__sparc__)
448 #if defined(__sparc64__)
449 
450 #define MULADDC_INIT \
451  asm( \
452  "ldx %3, %%o0 \n\t" \
453  "ldx %4, %%o1 \n\t" \
454  "ld %5, %%o2 \n\t" \
455  "ld %6, %%o3 \n\t"
456 
457 #define MULADDC_CORE \
458  "ld [%%o0], %%o4 \n\t" \
459  "inc 4, %%o0 \n\t" \
460  "ld [%%o1], %%o5 \n\t" \
461  "umul %%o3, %%o4, %%o4 \n\t" \
462  "addcc %%o4, %%o2, %%o4 \n\t" \
463  "rd %%y, %%g1 \n\t" \
464  "addx %%g1, 0, %%g1 \n\t" \
465  "addcc %%o4, %%o5, %%o4 \n\t" \
466  "st %%o4, [%%o1] \n\t" \
467  "addx %%g1, 0, %%o2 \n\t" \
468  "inc 4, %%o1 \n\t"
469 
470  #define MULADDC_STOP \
471  "st %%o2, %0 \n\t" \
472  "stx %%o1, %1 \n\t" \
473  "stx %%o0, %2 \n\t" \
474  : "=m" (c), "=m" (d), "=m" (s) \
475  : "m" (s), "m" (d), "m" (c), "m" (b) \
476  : "g1", "o0", "o1", "o2", "o3", "o4", \
477  "o5" \
478  );
479 
480 #else /* __sparc64__ */
481 
482 #define MULADDC_INIT \
483  asm( \
484  "ld %3, %%o0 \n\t" \
485  "ld %4, %%o1 \n\t" \
486  "ld %5, %%o2 \n\t" \
487  "ld %6, %%o3 \n\t"
488 
489 #define MULADDC_CORE \
490  "ld [%%o0], %%o4 \n\t" \
491  "inc 4, %%o0 \n\t" \
492  "ld [%%o1], %%o5 \n\t" \
493  "umul %%o3, %%o4, %%o4 \n\t" \
494  "addcc %%o4, %%o2, %%o4 \n\t" \
495  "rd %%y, %%g1 \n\t" \
496  "addx %%g1, 0, %%g1 \n\t" \
497  "addcc %%o4, %%o5, %%o4 \n\t" \
498  "st %%o4, [%%o1] \n\t" \
499  "addx %%g1, 0, %%o2 \n\t" \
500  "inc 4, %%o1 \n\t"
501 
502 #define MULADDC_STOP \
503  "st %%o2, %0 \n\t" \
504  "st %%o1, %1 \n\t" \
505  "st %%o0, %2 \n\t" \
506  : "=m" (c), "=m" (d), "=m" (s) \
507  : "m" (s), "m" (d), "m" (c), "m" (b) \
508  : "g1", "o0", "o1", "o2", "o3", "o4", \
509  "o5" \
510  );
511 
512 #endif /* __sparc64__ */
513 #endif /* __sparc__ */
514 
515 #if defined(__microblaze__) || defined(microblaze)
516 
517 #define MULADDC_INIT \
518  asm( \
519  "lwi r3, %3 \n\t" \
520  "lwi r4, %4 \n\t" \
521  "lwi r5, %5 \n\t" \
522  "lwi r6, %6 \n\t" \
523  "andi r7, r6, 0xffff \n\t" \
524  "bsrli r6, r6, 16 \n\t"
525 
526 #define MULADDC_CORE \
527  "lhui r8, r3, 0 \n\t" \
528  "addi r3, r3, 2 \n\t" \
529  "lhui r9, r3, 0 \n\t" \
530  "addi r3, r3, 2 \n\t" \
531  "mul r10, r9, r6 \n\t" \
532  "mul r11, r8, r7 \n\t" \
533  "mul r12, r9, r7 \n\t" \
534  "mul r13, r8, r6 \n\t" \
535  "bsrli r8, r10, 16 \n\t" \
536  "bsrli r9, r11, 16 \n\t" \
537  "add r13, r13, r8 \n\t" \
538  "add r13, r13, r9 \n\t" \
539  "bslli r10, r10, 16 \n\t" \
540  "bslli r11, r11, 16 \n\t" \
541  "add r12, r12, r10 \n\t" \
542  "addc r13, r13, r0 \n\t" \
543  "add r12, r12, r11 \n\t" \
544  "addc r13, r13, r0 \n\t" \
545  "lwi r10, r4, 0 \n\t" \
546  "add r12, r12, r10 \n\t" \
547  "addc r13, r13, r0 \n\t" \
548  "add r12, r12, r5 \n\t" \
549  "addc r5, r13, r0 \n\t" \
550  "swi r12, r4, 0 \n\t" \
551  "addi r4, r4, 4 \n\t"
552 
553 #define MULADDC_STOP \
554  "swi r5, %0 \n\t" \
555  "swi r4, %1 \n\t" \
556  "swi r3, %2 \n\t" \
557  : "=m" (c), "=m" (d), "=m" (s) \
558  : "m" (s), "m" (d), "m" (c), "m" (b) \
559  : "r3", "r4", "r5", "r6", "r7", "r8", \
560  "r9", "r10", "r11", "r12", "r13" \
561  );
562 
563 #endif /* MicroBlaze */
564 
565 #if defined(__tricore__)
566 
567 #define MULADDC_INIT \
568  asm( \
569  "ld.a %%a2, %3 \n\t" \
570  "ld.a %%a3, %4 \n\t" \
571  "ld.w %%d4, %5 \n\t" \
572  "ld.w %%d1, %6 \n\t" \
573  "xor %%d5, %%d5 \n\t"
574 
575 #define MULADDC_CORE \
576  "ld.w %%d0, [%%a2+] \n\t" \
577  "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
578  "ld.w %%d0, [%%a3] \n\t" \
579  "addx %%d2, %%d2, %%d0 \n\t" \
580  "addc %%d3, %%d3, 0 \n\t" \
581  "mov %%d4, %%d3 \n\t" \
582  "st.w [%%a3+], %%d2 \n\t"
583 
584 #define MULADDC_STOP \
585  "st.w %0, %%d4 \n\t" \
586  "st.a %1, %%a3 \n\t" \
587  "st.a %2, %%a2 \n\t" \
588  : "=m" (c), "=m" (d), "=m" (s) \
589  : "m" (s), "m" (d), "m" (c), "m" (b) \
590  : "d0", "d1", "e2", "d4", "a2", "a3" \
591  );
592 
593 #endif /* TriCore */
594 
595 /*
596  * Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about
597  * our use of r7 below, unless -fomit-frame-pointer is passed.
598  *
599  * On the other hand, -fomit-frame-pointer is implied by any -Ox options with
600  * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
601  * clang and armcc5 under the same conditions).
602  *
603  * So, only use the optimized assembly below for optimized build, which avoids
604  * the build error and is pretty reasonable anyway.
605  */
606 #if defined(__GNUC__) && !defined(__OPTIMIZE__)
607 #define MULADDC_CANNOT_USE_R7
608 #endif
609 
610 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
611 
612 #if defined(__thumb__) && !defined(__thumb2__)
613 
614 #define MULADDC_INIT \
615  asm( \
616  "ldr r0, %3 \n\t" \
617  "ldr r1, %4 \n\t" \
618  "ldr r2, %5 \n\t" \
619  "ldr r3, %6 \n\t" \
620  "lsr r7, r3, #16 \n\t" \
621  "mov r9, r7 \n\t" \
622  "lsl r7, r3, #16 \n\t" \
623  "lsr r7, r7, #16 \n\t" \
624  "mov r8, r7 \n\t"
625 
626 #define MULADDC_CORE \
627  "ldmia r0!, {r6} \n\t" \
628  "lsr r7, r6, #16 \n\t" \
629  "lsl r6, r6, #16 \n\t" \
630  "lsr r6, r6, #16 \n\t" \
631  "mov r4, r8 \n\t" \
632  "mul r4, r6 \n\t" \
633  "mov r3, r9 \n\t" \
634  "mul r6, r3 \n\t" \
635  "mov r5, r9 \n\t" \
636  "mul r5, r7 \n\t" \
637  "mov r3, r8 \n\t" \
638  "mul r7, r3 \n\t" \
639  "lsr r3, r6, #16 \n\t" \
640  "add r5, r5, r3 \n\t" \
641  "lsr r3, r7, #16 \n\t" \
642  "add r5, r5, r3 \n\t" \
643  "add r4, r4, r2 \n\t" \
644  "mov r2, #0 \n\t" \
645  "adc r5, r2 \n\t" \
646  "lsl r3, r6, #16 \n\t" \
647  "add r4, r4, r3 \n\t" \
648  "adc r5, r2 \n\t" \
649  "lsl r3, r7, #16 \n\t" \
650  "add r4, r4, r3 \n\t" \
651  "adc r5, r2 \n\t" \
652  "ldr r3, [r1] \n\t" \
653  "add r4, r4, r3 \n\t" \
654  "adc r2, r5 \n\t" \
655  "stmia r1!, {r4} \n\t"
656 
657 #define MULADDC_STOP \
658  "str r2, %0 \n\t" \
659  "str r1, %1 \n\t" \
660  "str r0, %2 \n\t" \
661  : "=m" (c), "=m" (d), "=m" (s) \
662  : "m" (s), "m" (d), "m" (c), "m" (b) \
663  : "r0", "r1", "r2", "r3", "r4", "r5", \
664  "r6", "r7", "r8", "r9", "cc" \
665  );
666 
667 #elif (__ARM_ARCH >= 6) && \
668  defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)
669 
670 #define MULADDC_INIT \
671  asm(
672 
673 #define MULADDC_CORE \
674  "ldr r0, [%0], #4 \n\t" \
675  "ldr r1, [%1] \n\t" \
676  "umaal r1, %2, %3, r0 \n\t" \
677  "str r1, [%1], #4 \n\t"
678 
679 #define MULADDC_STOP \
680  : "=r" (s), "=r" (d), "=r" (c) \
681  : "r" (b), "0" (s), "1" (d), "2" (c) \
682  : "r0", "r1", "memory" \
683  );
684 
685 #else
686 
687 #define MULADDC_INIT \
688  asm( \
689  "ldr r0, %3 \n\t" \
690  "ldr r1, %4 \n\t" \
691  "ldr r2, %5 \n\t" \
692  "ldr r3, %6 \n\t"
693 
694 #define MULADDC_CORE \
695  "ldr r4, [r0], #4 \n\t" \
696  "mov r5, #0 \n\t" \
697  "ldr r6, [r1] \n\t" \
698  "umlal r2, r5, r3, r4 \n\t" \
699  "adds r7, r6, r2 \n\t" \
700  "adc r2, r5, #0 \n\t" \
701  "str r7, [r1], #4 \n\t"
702 
703 #define MULADDC_STOP \
704  "str r2, %0 \n\t" \
705  "str r1, %1 \n\t" \
706  "str r0, %2 \n\t" \
707  : "=m" (c), "=m" (d), "=m" (s) \
708  : "m" (s), "m" (d), "m" (c), "m" (b) \
709  : "r0", "r1", "r2", "r3", "r4", "r5", \
710  "r6", "r7", "cc" \
711  );
712 
713 #endif /* Thumb */
714 
715 #endif /* ARMv3 */
716 
717 #if defined(__alpha__)
718 
719 #define MULADDC_INIT \
720  asm( \
721  "ldq $1, %3 \n\t" \
722  "ldq $2, %4 \n\t" \
723  "ldq $3, %5 \n\t" \
724  "ldq $4, %6 \n\t"
725 
726 #define MULADDC_CORE \
727  "ldq $6, 0($1) \n\t" \
728  "addq $1, 8, $1 \n\t" \
729  "mulq $6, $4, $7 \n\t" \
730  "umulh $6, $4, $6 \n\t" \
731  "addq $7, $3, $7 \n\t" \
732  "cmpult $7, $3, $3 \n\t" \
733  "ldq $5, 0($2) \n\t" \
734  "addq $7, $5, $7 \n\t" \
735  "cmpult $7, $5, $5 \n\t" \
736  "stq $7, 0($2) \n\t" \
737  "addq $2, 8, $2 \n\t" \
738  "addq $6, $3, $3 \n\t" \
739  "addq $5, $3, $3 \n\t"
740 
741 #define MULADDC_STOP \
742  "stq $3, %0 \n\t" \
743  "stq $2, %1 \n\t" \
744  "stq $1, %2 \n\t" \
745  : "=m" (c), "=m" (d), "=m" (s) \
746  : "m" (s), "m" (d), "m" (c), "m" (b) \
747  : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
748  );
749 #endif /* Alpha */
750 
751 #if defined(__mips__) && !defined(__mips64)
752 
753 #define MULADDC_INIT \
754  asm( \
755  "lw $10, %3 \n\t" \
756  "lw $11, %4 \n\t" \
757  "lw $12, %5 \n\t" \
758  "lw $13, %6 \n\t"
759 
760 #define MULADDC_CORE \
761  "lw $14, 0($10) \n\t" \
762  "multu $13, $14 \n\t" \
763  "addi $10, $10, 4 \n\t" \
764  "mflo $14 \n\t" \
765  "mfhi $9 \n\t" \
766  "addu $14, $12, $14 \n\t" \
767  "lw $15, 0($11) \n\t" \
768  "sltu $12, $14, $12 \n\t" \
769  "addu $15, $14, $15 \n\t" \
770  "sltu $14, $15, $14 \n\t" \
771  "addu $12, $12, $9 \n\t" \
772  "sw $15, 0($11) \n\t" \
773  "addu $12, $12, $14 \n\t" \
774  "addi $11, $11, 4 \n\t"
775 
776 #define MULADDC_STOP \
777  "sw $12, %0 \n\t" \
778  "sw $11, %1 \n\t" \
779  "sw $10, %2 \n\t" \
780  : "=m" (c), "=m" (d), "=m" (s) \
781  : "m" (s), "m" (d), "m" (c), "m" (b) \
782  : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \
783  );
784 
785 #endif /* MIPS */
786 #endif /* GNUC */
787 
788 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
789 
790 #define MULADDC_INIT \
791  __asm mov esi, s \
792  __asm mov edi, d \
793  __asm mov ecx, c \
794  __asm mov ebx, b
795 
796 #define MULADDC_CORE \
797  __asm lodsd \
798  __asm mul ebx \
799  __asm add eax, ecx \
800  __asm adc edx, 0 \
801  __asm add eax, [edi] \
802  __asm adc edx, 0 \
803  __asm mov ecx, edx \
804  __asm stosd
805 
806 #if defined(MBEDTLS_HAVE_SSE2)
807 
808 #define EMIT __asm _emit
809 
810 #define MULADDC_HUIT \
811  EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
812  EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
813  EMIT 0x0F EMIT 0x6E EMIT 0x1F \
814  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
815  EMIT 0x0F EMIT 0x6E EMIT 0x16 \
816  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
817  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
818  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
819  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
820  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
821  EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
822  EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
823  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
824  EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
825  EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
826  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
827  EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
828  EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
829  EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
830  EMIT 0x0F EMIT 0x7E EMIT 0x0F \
831  EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
832  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
833  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
834  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
835  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
836  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
837  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
838  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
839  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
840  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
841  EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
842  EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
843  EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
844  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
845  EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
846  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
847  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
848  EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
849  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
850  EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
851  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
852  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
853  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
854  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
855  EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
856  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
857  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
858  EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
859  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
860  EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
861  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
862  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
863  EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
864  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
865  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
866  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
867  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
868  EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
869  EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
870  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
871  EMIT 0x0F EMIT 0x7E EMIT 0xC9
872 
873 #define MULADDC_STOP \
874  EMIT 0x0F EMIT 0x77 \
875  __asm mov c, ecx \
876  __asm mov d, edi \
877  __asm mov s, esi \
878 
879 #else
880 
881 #define MULADDC_STOP \
882  __asm mov c, ecx \
883  __asm mov d, edi \
884  __asm mov s, esi \
885 
886 #endif /* SSE2 */
887 #endif /* MSVC */
888 
889 #endif /* MBEDTLS_HAVE_ASM */
890 
891 #if !defined(MULADDC_CORE)
892 #if defined(MBEDTLS_HAVE_UDBL)
893 
894 #define MULADDC_INIT \
895 { \
896  mbedtls_t_udbl r; \
897  mbedtls_mpi_uint r0, r1;
898 
899 #define MULADDC_CORE \
900  r = *(s++) * (mbedtls_t_udbl) b; \
901  r0 = (mbedtls_mpi_uint) r; \
902  r1 = (mbedtls_mpi_uint)( r >> biL ); \
903  r0 += c; r1 += (r0 < c); \
904  r0 += *d; r1 += (r0 < *d); \
905  c = r1; *(d++) = r0;
906 
907 #define MULADDC_STOP \
908 }
909 
910 #else
911 #define MULADDC_INIT \
912 { \
913  mbedtls_mpi_uint s0, s1, b0, b1; \
914  mbedtls_mpi_uint r0, r1, rx, ry; \
915  b0 = ( b << biH ) >> biH; \
916  b1 = ( b >> biH );
917 
918 #define MULADDC_CORE \
919  s0 = ( *s << biH ) >> biH; \
920  s1 = ( *s >> biH ); s++; \
921  rx = s0 * b1; r0 = s0 * b0; \
922  ry = s1 * b0; r1 = s1 * b1; \
923  r1 += ( rx >> biH ); \
924  r1 += ( ry >> biH ); \
925  rx <<= biH; ry <<= biH; \
926  r0 += rx; r1 += (r0 < rx); \
927  r0 += ry; r1 += (r0 < ry); \
928  r0 += c; r1 += (r0 < c); \
929  r0 += *d; r1 += (r0 < *d); \
930  c = r1; *(d++) = r0;
931 
932 #define MULADDC_STOP \
933 }
934 
935 #endif /* C (generic) */
936 #endif /* C (longlong) */
937 
938 #endif /* bn_mul.h */
config.h
Configuration options (set of defines)
bignum.h
Multi-precision integer library.
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