mbed TLS v2.2.0
bn_mul.h
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1 
23 /*
24  * Multiply source vector [s] with b, add result
25  * to destination vector [d] and set carry c.
26  *
27  * Currently supports:
28  *
29  * . IA-32 (386+) . AMD64 / EM64T
30  * . IA-32 (SSE2) . Motorola 68000
31  * . PowerPC, 32-bit . MicroBlaze
32  * . PowerPC, 64-bit . TriCore
33  * . SPARC v8 . ARM v3+
34  * . Alpha . MIPS32
35  * . C, longlong . C, generic
36  */
37 #ifndef MBEDTLS_BN_MUL_H
38 #define MBEDTLS_BN_MUL_H
39 
40 #include "bignum.h"
41 
42 #if defined(MBEDTLS_HAVE_ASM)
43 
44 #ifndef asm
45 #define asm __asm
46 #endif
47 
48 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
49 #if defined(__GNUC__) && \
50  ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
51 #if defined(__i386__)
52 
53 #define MULADDC_INIT \
54  asm( \
55  "movl %%ebx, %0 \n\t" \
56  "movl %5, %%esi \n\t" \
57  "movl %6, %%edi \n\t" \
58  "movl %7, %%ecx \n\t" \
59  "movl %8, %%ebx \n\t"
60 
61 #define MULADDC_CORE \
62  "lodsl \n\t" \
63  "mull %%ebx \n\t" \
64  "addl %%ecx, %%eax \n\t" \
65  "adcl $0, %%edx \n\t" \
66  "addl (%%edi), %%eax \n\t" \
67  "adcl $0, %%edx \n\t" \
68  "movl %%edx, %%ecx \n\t" \
69  "stosl \n\t"
70 
71 #if defined(MBEDTLS_HAVE_SSE2)
72 
73 #define MULADDC_HUIT \
74  "movd %%ecx, %%mm1 \n\t" \
75  "movd %%ebx, %%mm0 \n\t" \
76  "movd (%%edi), %%mm3 \n\t" \
77  "paddq %%mm3, %%mm1 \n\t" \
78  "movd (%%esi), %%mm2 \n\t" \
79  "pmuludq %%mm0, %%mm2 \n\t" \
80  "movd 4(%%esi), %%mm4 \n\t" \
81  "pmuludq %%mm0, %%mm4 \n\t" \
82  "movd 8(%%esi), %%mm6 \n\t" \
83  "pmuludq %%mm0, %%mm6 \n\t" \
84  "movd 12(%%esi), %%mm7 \n\t" \
85  "pmuludq %%mm0, %%mm7 \n\t" \
86  "paddq %%mm2, %%mm1 \n\t" \
87  "movd 4(%%edi), %%mm3 \n\t" \
88  "paddq %%mm4, %%mm3 \n\t" \
89  "movd 8(%%edi), %%mm5 \n\t" \
90  "paddq %%mm6, %%mm5 \n\t" \
91  "movd 12(%%edi), %%mm4 \n\t" \
92  "paddq %%mm4, %%mm7 \n\t" \
93  "movd %%mm1, (%%edi) \n\t" \
94  "movd 16(%%esi), %%mm2 \n\t" \
95  "pmuludq %%mm0, %%mm2 \n\t" \
96  "psrlq $32, %%mm1 \n\t" \
97  "movd 20(%%esi), %%mm4 \n\t" \
98  "pmuludq %%mm0, %%mm4 \n\t" \
99  "paddq %%mm3, %%mm1 \n\t" \
100  "movd 24(%%esi), %%mm6 \n\t" \
101  "pmuludq %%mm0, %%mm6 \n\t" \
102  "movd %%mm1, 4(%%edi) \n\t" \
103  "psrlq $32, %%mm1 \n\t" \
104  "movd 28(%%esi), %%mm3 \n\t" \
105  "pmuludq %%mm0, %%mm3 \n\t" \
106  "paddq %%mm5, %%mm1 \n\t" \
107  "movd 16(%%edi), %%mm5 \n\t" \
108  "paddq %%mm5, %%mm2 \n\t" \
109  "movd %%mm1, 8(%%edi) \n\t" \
110  "psrlq $32, %%mm1 \n\t" \
111  "paddq %%mm7, %%mm1 \n\t" \
112  "movd 20(%%edi), %%mm5 \n\t" \
113  "paddq %%mm5, %%mm4 \n\t" \
114  "movd %%mm1, 12(%%edi) \n\t" \
115  "psrlq $32, %%mm1 \n\t" \
116  "paddq %%mm2, %%mm1 \n\t" \
117  "movd 24(%%edi), %%mm5 \n\t" \
118  "paddq %%mm5, %%mm6 \n\t" \
119  "movd %%mm1, 16(%%edi) \n\t" \
120  "psrlq $32, %%mm1 \n\t" \
121  "paddq %%mm4, %%mm1 \n\t" \
122  "movd 28(%%edi), %%mm5 \n\t" \
123  "paddq %%mm5, %%mm3 \n\t" \
124  "movd %%mm1, 20(%%edi) \n\t" \
125  "psrlq $32, %%mm1 \n\t" \
126  "paddq %%mm6, %%mm1 \n\t" \
127  "movd %%mm1, 24(%%edi) \n\t" \
128  "psrlq $32, %%mm1 \n\t" \
129  "paddq %%mm3, %%mm1 \n\t" \
130  "movd %%mm1, 28(%%edi) \n\t" \
131  "addl $32, %%edi \n\t" \
132  "addl $32, %%esi \n\t" \
133  "psrlq $32, %%mm1 \n\t" \
134  "movd %%mm1, %%ecx \n\t"
135 
136 #define MULADDC_STOP \
137  "emms \n\t" \
138  "movl %4, %%ebx \n\t" \
139  "movl %%ecx, %1 \n\t" \
140  "movl %%edi, %2 \n\t" \
141  "movl %%esi, %3 \n\t" \
142  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
143  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
144  : "eax", "ecx", "edx", "esi", "edi" \
145  );
146 
147 #else
148 
149 #define MULADDC_STOP \
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", "ecx", "edx", "esi", "edi" \
157  );
158 #endif /* SSE2 */
159 #endif /* i386 */
160 
161 #if defined(__amd64__) || defined (__x86_64__)
162 
163 #define MULADDC_INIT \
164  asm( \
165  "movq %3, %%rsi \n\t" \
166  "movq %4, %%rdi \n\t" \
167  "movq %5, %%rcx \n\t" \
168  "movq %6, %%rbx \n\t" \
169  "xorq %%r8, %%r8 \n\t"
170 
171 #define MULADDC_CORE \
172  "movq (%%rsi), %%rax \n\t" \
173  "mulq %%rbx \n\t" \
174  "addq $8, %%rsi \n\t" \
175  "addq %%rcx, %%rax \n\t" \
176  "movq %%r8, %%rcx \n\t" \
177  "adcq $0, %%rdx \n\t" \
178  "nop \n\t" \
179  "addq %%rax, (%%rdi) \n\t" \
180  "adcq %%rdx, %%rcx \n\t" \
181  "addq $8, %%rdi \n\t"
182 
183 #define MULADDC_STOP \
184  "movq %%rcx, %0 \n\t" \
185  "movq %%rdi, %1 \n\t" \
186  "movq %%rsi, %2 \n\t" \
187  : "=m" (c), "=m" (d), "=m" (s) \
188  : "m" (s), "m" (d), "m" (c), "m" (b) \
189  : "rax", "rcx", "rdx", "rbx", "rsi", "rdi", "r8" \
190  );
191 
192 #endif /* AMD64 */
193 
194 #if defined(__mc68020__) || defined(__mcpu32__)
195 
196 #define MULADDC_INIT \
197  asm( \
198  "movl %3, %%a2 \n\t" \
199  "movl %4, %%a3 \n\t" \
200  "movl %5, %%d3 \n\t" \
201  "movl %6, %%d2 \n\t" \
202  "moveq #0, %%d0 \n\t"
203 
204 #define MULADDC_CORE \
205  "movel %%a2@+, %%d1 \n\t" \
206  "mulul %%d2, %%d4:%%d1 \n\t" \
207  "addl %%d3, %%d1 \n\t" \
208  "addxl %%d0, %%d4 \n\t" \
209  "moveq #0, %%d3 \n\t" \
210  "addl %%d1, %%a3@+ \n\t" \
211  "addxl %%d4, %%d3 \n\t"
212 
213 #define MULADDC_STOP \
214  "movl %%d3, %0 \n\t" \
215  "movl %%a3, %1 \n\t" \
216  "movl %%a2, %2 \n\t" \
217  : "=m" (c), "=m" (d), "=m" (s) \
218  : "m" (s), "m" (d), "m" (c), "m" (b) \
219  : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
220  );
221 
222 #define MULADDC_HUIT \
223  "movel %%a2@+, %%d1 \n\t" \
224  "mulul %%d2, %%d4:%%d1 \n\t" \
225  "addxl %%d3, %%d1 \n\t" \
226  "addxl %%d0, %%d4 \n\t" \
227  "addl %%d1, %%a3@+ \n\t" \
228  "movel %%a2@+, %%d1 \n\t" \
229  "mulul %%d2, %%d3:%%d1 \n\t" \
230  "addxl %%d4, %%d1 \n\t" \
231  "addxl %%d0, %%d3 \n\t" \
232  "addl %%d1, %%a3@+ \n\t" \
233  "movel %%a2@+, %%d1 \n\t" \
234  "mulul %%d2, %%d4:%%d1 \n\t" \
235  "addxl %%d3, %%d1 \n\t" \
236  "addxl %%d0, %%d4 \n\t" \
237  "addl %%d1, %%a3@+ \n\t" \
238  "movel %%a2@+, %%d1 \n\t" \
239  "mulul %%d2, %%d3:%%d1 \n\t" \
240  "addxl %%d4, %%d1 \n\t" \
241  "addxl %%d0, %%d3 \n\t" \
242  "addl %%d1, %%a3@+ \n\t" \
243  "movel %%a2@+, %%d1 \n\t" \
244  "mulul %%d2, %%d4:%%d1 \n\t" \
245  "addxl %%d3, %%d1 \n\t" \
246  "addxl %%d0, %%d4 \n\t" \
247  "addl %%d1, %%a3@+ \n\t" \
248  "movel %%a2@+, %%d1 \n\t" \
249  "mulul %%d2, %%d3:%%d1 \n\t" \
250  "addxl %%d4, %%d1 \n\t" \
251  "addxl %%d0, %%d3 \n\t" \
252  "addl %%d1, %%a3@+ \n\t" \
253  "movel %%a2@+, %%d1 \n\t" \
254  "mulul %%d2, %%d4:%%d1 \n\t" \
255  "addxl %%d3, %%d1 \n\t" \
256  "addxl %%d0, %%d4 \n\t" \
257  "addl %%d1, %%a3@+ \n\t" \
258  "movel %%a2@+, %%d1 \n\t" \
259  "mulul %%d2, %%d3:%%d1 \n\t" \
260  "addxl %%d4, %%d1 \n\t" \
261  "addxl %%d0, %%d3 \n\t" \
262  "addl %%d1, %%a3@+ \n\t" \
263  "addxl %%d0, %%d3 \n\t"
264 
265 #endif /* MC68000 */
266 
267 #if defined(__powerpc64__) || defined(__ppc64__)
268 
269 #if defined(__MACH__) && defined(__APPLE__)
270 
271 #define MULADDC_INIT \
272  asm( \
273  "ld r3, %3 \n\t" \
274  "ld r4, %4 \n\t" \
275  "ld r5, %5 \n\t" \
276  "ld r6, %6 \n\t" \
277  "addi r3, r3, -8 \n\t" \
278  "addi r4, r4, -8 \n\t" \
279  "addic r5, r5, 0 \n\t"
280 
281 #define MULADDC_CORE \
282  "ldu r7, 8(r3) \n\t" \
283  "mulld r8, r7, r6 \n\t" \
284  "mulhdu r9, r7, r6 \n\t" \
285  "adde r8, r8, r5 \n\t" \
286  "ld r7, 8(r4) \n\t" \
287  "addze r5, r9 \n\t" \
288  "addc r8, r8, r7 \n\t" \
289  "stdu r8, 8(r4) \n\t"
290 
291 #define MULADDC_STOP \
292  "addze r5, r5 \n\t" \
293  "addi r4, r4, 8 \n\t" \
294  "addi r3, r3, 8 \n\t" \
295  "std r5, %0 \n\t" \
296  "std r4, %1 \n\t" \
297  "std r3, %2 \n\t" \
298  : "=m" (c), "=m" (d), "=m" (s) \
299  : "m" (s), "m" (d), "m" (c), "m" (b) \
300  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
301  );
302 
303 
304 #else /* __MACH__ && __APPLE__ */
305 
306 #define MULADDC_INIT \
307  asm( \
308  "ld %%r3, %3 \n\t" \
309  "ld %%r4, %4 \n\t" \
310  "ld %%r5, %5 \n\t" \
311  "ld %%r6, %6 \n\t" \
312  "addi %%r3, %%r3, -8 \n\t" \
313  "addi %%r4, %%r4, -8 \n\t" \
314  "addic %%r5, %%r5, 0 \n\t"
315 
316 #define MULADDC_CORE \
317  "ldu %%r7, 8(%%r3) \n\t" \
318  "mulld %%r8, %%r7, %%r6 \n\t" \
319  "mulhdu %%r9, %%r7, %%r6 \n\t" \
320  "adde %%r8, %%r8, %%r5 \n\t" \
321  "ld %%r7, 8(%%r4) \n\t" \
322  "addze %%r5, %%r9 \n\t" \
323  "addc %%r8, %%r8, %%r7 \n\t" \
324  "stdu %%r8, 8(%%r4) \n\t"
325 
326 #define MULADDC_STOP \
327  "addze %%r5, %%r5 \n\t" \
328  "addi %%r4, %%r4, 8 \n\t" \
329  "addi %%r3, %%r3, 8 \n\t" \
330  "std %%r5, %0 \n\t" \
331  "std %%r4, %1 \n\t" \
332  "std %%r3, %2 \n\t" \
333  : "=m" (c), "=m" (d), "=m" (s) \
334  : "m" (s), "m" (d), "m" (c), "m" (b) \
335  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
336  );
337 
338 #endif /* __MACH__ && __APPLE__ */
339 
340 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
341 
342 #if defined(__MACH__) && defined(__APPLE__)
343 
344 #define MULADDC_INIT \
345  asm( \
346  "lwz r3, %3 \n\t" \
347  "lwz r4, %4 \n\t" \
348  "lwz r5, %5 \n\t" \
349  "lwz r6, %6 \n\t" \
350  "addi r3, r3, -4 \n\t" \
351  "addi r4, r4, -4 \n\t" \
352  "addic r5, r5, 0 \n\t"
353 
354 #define MULADDC_CORE \
355  "lwzu r7, 4(r3) \n\t" \
356  "mullw r8, r7, r6 \n\t" \
357  "mulhwu r9, r7, r6 \n\t" \
358  "adde r8, r8, r5 \n\t" \
359  "lwz r7, 4(r4) \n\t" \
360  "addze r5, r9 \n\t" \
361  "addc r8, r8, r7 \n\t" \
362  "stwu r8, 4(r4) \n\t"
363 
364 #define MULADDC_STOP \
365  "addze r5, r5 \n\t" \
366  "addi r4, r4, 4 \n\t" \
367  "addi r3, r3, 4 \n\t" \
368  "stw r5, %0 \n\t" \
369  "stw r4, %1 \n\t" \
370  "stw r3, %2 \n\t" \
371  : "=m" (c), "=m" (d), "=m" (s) \
372  : "m" (s), "m" (d), "m" (c), "m" (b) \
373  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
374  );
375 
376 #else /* __MACH__ && __APPLE__ */
377 
378 #define MULADDC_INIT \
379  asm( \
380  "lwz %%r3, %3 \n\t" \
381  "lwz %%r4, %4 \n\t" \
382  "lwz %%r5, %5 \n\t" \
383  "lwz %%r6, %6 \n\t" \
384  "addi %%r3, %%r3, -4 \n\t" \
385  "addi %%r4, %%r4, -4 \n\t" \
386  "addic %%r5, %%r5, 0 \n\t"
387 
388 #define MULADDC_CORE \
389  "lwzu %%r7, 4(%%r3) \n\t" \
390  "mullw %%r8, %%r7, %%r6 \n\t" \
391  "mulhwu %%r9, %%r7, %%r6 \n\t" \
392  "adde %%r8, %%r8, %%r5 \n\t" \
393  "lwz %%r7, 4(%%r4) \n\t" \
394  "addze %%r5, %%r9 \n\t" \
395  "addc %%r8, %%r8, %%r7 \n\t" \
396  "stwu %%r8, 4(%%r4) \n\t"
397 
398 #define MULADDC_STOP \
399  "addze %%r5, %%r5 \n\t" \
400  "addi %%r4, %%r4, 4 \n\t" \
401  "addi %%r3, %%r3, 4 \n\t" \
402  "stw %%r5, %0 \n\t" \
403  "stw %%r4, %1 \n\t" \
404  "stw %%r3, %2 \n\t" \
405  : "=m" (c), "=m" (d), "=m" (s) \
406  : "m" (s), "m" (d), "m" (c), "m" (b) \
407  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
408  );
409 
410 #endif /* __MACH__ && __APPLE__ */
411 
412 #endif /* PPC32 */
413 
414 /*
415  * The Sparc(64) assembly is reported to be broken.
416  * Disable it for now, until we're able to fix it.
417  */
418 #if 0 && defined(__sparc__)
419 #if defined(__sparc64__)
420 
421 #define MULADDC_INIT \
422  asm( \
423  "ldx %3, %%o0 \n\t" \
424  "ldx %4, %%o1 \n\t" \
425  "ld %5, %%o2 \n\t" \
426  "ld %6, %%o3 \n\t"
427 
428 #define MULADDC_CORE \
429  "ld [%%o0], %%o4 \n\t" \
430  "inc 4, %%o0 \n\t" \
431  "ld [%%o1], %%o5 \n\t" \
432  "umul %%o3, %%o4, %%o4 \n\t" \
433  "addcc %%o4, %%o2, %%o4 \n\t" \
434  "rd %%y, %%g1 \n\t" \
435  "addx %%g1, 0, %%g1 \n\t" \
436  "addcc %%o4, %%o5, %%o4 \n\t" \
437  "st %%o4, [%%o1] \n\t" \
438  "addx %%g1, 0, %%o2 \n\t" \
439  "inc 4, %%o1 \n\t"
440 
441  #define MULADDC_STOP \
442  "st %%o2, %0 \n\t" \
443  "stx %%o1, %1 \n\t" \
444  "stx %%o0, %2 \n\t" \
445  : "=m" (c), "=m" (d), "=m" (s) \
446  : "m" (s), "m" (d), "m" (c), "m" (b) \
447  : "g1", "o0", "o1", "o2", "o3", "o4", \
448  "o5" \
449  );
450 
451 #else /* __sparc64__ */
452 
453 #define MULADDC_INIT \
454  asm( \
455  "ld %3, %%o0 \n\t" \
456  "ld %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  "st %%o1, %1 \n\t" \
476  "st %%o0, %2 \n\t" \
477  : "=m" (c), "=m" (d), "=m" (s) \
478  : "m" (s), "m" (d), "m" (c), "m" (b) \
479  : "g1", "o0", "o1", "o2", "o3", "o4", \
480  "o5" \
481  );
482 
483 #endif /* __sparc64__ */
484 #endif /* __sparc__ */
485 
486 #if defined(__microblaze__) || defined(microblaze)
487 
488 #define MULADDC_INIT \
489  asm( \
490  "lwi r3, %3 \n\t" \
491  "lwi r4, %4 \n\t" \
492  "lwi r5, %5 \n\t" \
493  "lwi r6, %6 \n\t" \
494  "andi r7, r6, 0xffff \n\t" \
495  "bsrli r6, r6, 16 \n\t"
496 
497 #define MULADDC_CORE \
498  "lhui r8, r3, 0 \n\t" \
499  "addi r3, r3, 2 \n\t" \
500  "lhui r9, r3, 0 \n\t" \
501  "addi r3, r3, 2 \n\t" \
502  "mul r10, r9, r6 \n\t" \
503  "mul r11, r8, r7 \n\t" \
504  "mul r12, r9, r7 \n\t" \
505  "mul r13, r8, r6 \n\t" \
506  "bsrli r8, r10, 16 \n\t" \
507  "bsrli r9, r11, 16 \n\t" \
508  "add r13, r13, r8 \n\t" \
509  "add r13, r13, r9 \n\t" \
510  "bslli r10, r10, 16 \n\t" \
511  "bslli r11, r11, 16 \n\t" \
512  "add r12, r12, r10 \n\t" \
513  "addc r13, r13, r0 \n\t" \
514  "add r12, r12, r11 \n\t" \
515  "addc r13, r13, r0 \n\t" \
516  "lwi r10, r4, 0 \n\t" \
517  "add r12, r12, r10 \n\t" \
518  "addc r13, r13, r0 \n\t" \
519  "add r12, r12, r5 \n\t" \
520  "addc r5, r13, r0 \n\t" \
521  "swi r12, r4, 0 \n\t" \
522  "addi r4, r4, 4 \n\t"
523 
524 #define MULADDC_STOP \
525  "swi r5, %0 \n\t" \
526  "swi r4, %1 \n\t" \
527  "swi r3, %2 \n\t" \
528  : "=m" (c), "=m" (d), "=m" (s) \
529  : "m" (s), "m" (d), "m" (c), "m" (b) \
530  : "r3", "r4" "r5", "r6", "r7", "r8", \
531  "r9", "r10", "r11", "r12", "r13" \
532  );
533 
534 #endif /* MicroBlaze */
535 
536 #if defined(__tricore__)
537 
538 #define MULADDC_INIT \
539  asm( \
540  "ld.a %%a2, %3 \n\t" \
541  "ld.a %%a3, %4 \n\t" \
542  "ld.w %%d4, %5 \n\t" \
543  "ld.w %%d1, %6 \n\t" \
544  "xor %%d5, %%d5 \n\t"
545 
546 #define MULADDC_CORE \
547  "ld.w %%d0, [%%a2+] \n\t" \
548  "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
549  "ld.w %%d0, [%%a3] \n\t" \
550  "addx %%d2, %%d2, %%d0 \n\t" \
551  "addc %%d3, %%d3, 0 \n\t" \
552  "mov %%d4, %%d3 \n\t" \
553  "st.w [%%a3+], %%d2 \n\t"
554 
555 #define MULADDC_STOP \
556  "st.w %0, %%d4 \n\t" \
557  "st.a %1, %%a3 \n\t" \
558  "st.a %2, %%a2 \n\t" \
559  : "=m" (c), "=m" (d), "=m" (s) \
560  : "m" (s), "m" (d), "m" (c), "m" (b) \
561  : "d0", "d1", "e2", "d4", "a2", "a3" \
562  );
563 
564 #endif /* TriCore */
565 
566 #if defined(__arm__)
567 
568 #if defined(__thumb__) && !defined(__thumb2__)
569 
570 #define MULADDC_INIT \
571  asm( \
572  "ldr r0, %3 \n\t" \
573  "ldr r1, %4 \n\t" \
574  "ldr r2, %5 \n\t" \
575  "ldr r3, %6 \n\t" \
576  "lsr r7, r3, #16 \n\t" \
577  "mov r9, r7 \n\t" \
578  "lsl r7, r3, #16 \n\t" \
579  "lsr r7, r7, #16 \n\t" \
580  "mov r8, r7 \n\t"
581 
582 #define MULADDC_CORE \
583  "ldmia r0!, {r6} \n\t" \
584  "lsr r7, r6, #16 \n\t" \
585  "lsl r6, r6, #16 \n\t" \
586  "lsr r6, r6, #16 \n\t" \
587  "mov r4, r8 \n\t" \
588  "mul r4, r6 \n\t" \
589  "mov r3, r9 \n\t" \
590  "mul r6, r3 \n\t" \
591  "mov r5, r9 \n\t" \
592  "mul r5, r7 \n\t" \
593  "mov r3, r8 \n\t" \
594  "mul r7, r3 \n\t" \
595  "lsr r3, r6, #16 \n\t" \
596  "add r5, r5, r3 \n\t" \
597  "lsr r3, r7, #16 \n\t" \
598  "add r5, r5, r3 \n\t" \
599  "add r4, r4, r2 \n\t" \
600  "mov r2, #0 \n\t" \
601  "adc r5, r2 \n\t" \
602  "lsl r3, r6, #16 \n\t" \
603  "add r4, r4, r3 \n\t" \
604  "adc r5, r2 \n\t" \
605  "lsl r3, r7, #16 \n\t" \
606  "add r4, r4, r3 \n\t" \
607  "adc r5, r2 \n\t" \
608  "ldr r3, [r1] \n\t" \
609  "add r4, r4, r3 \n\t" \
610  "adc r2, r5 \n\t" \
611  "stmia r1!, {r4} \n\t"
612 
613 #define MULADDC_STOP \
614  "str r2, %0 \n\t" \
615  "str r1, %1 \n\t" \
616  "str r0, %2 \n\t" \
617  : "=m" (c), "=m" (d), "=m" (s) \
618  : "m" (s), "m" (d), "m" (c), "m" (b) \
619  : "r0", "r1", "r2", "r3", "r4", "r5", \
620  "r6", "r7", "r8", "r9", "cc" \
621  );
622 
623 #else
624 
625 #define MULADDC_INIT \
626  asm( \
627  "ldr r0, %3 \n\t" \
628  "ldr r1, %4 \n\t" \
629  "ldr r2, %5 \n\t" \
630  "ldr r3, %6 \n\t"
631 
632 #define MULADDC_CORE \
633  "ldr r4, [r0], #4 \n\t" \
634  "mov r5, #0 \n\t" \
635  "ldr r6, [r1] \n\t" \
636  "umlal r2, r5, r3, r4 \n\t" \
637  "adds r7, r6, r2 \n\t" \
638  "adc r2, r5, #0 \n\t" \
639  "str r7, [r1], #4 \n\t"
640 
641 #define MULADDC_STOP \
642  "str r2, %0 \n\t" \
643  "str r1, %1 \n\t" \
644  "str r0, %2 \n\t" \
645  : "=m" (c), "=m" (d), "=m" (s) \
646  : "m" (s), "m" (d), "m" (c), "m" (b) \
647  : "r0", "r1", "r2", "r3", "r4", "r5", \
648  "r6", "r7", "cc" \
649  );
650 
651 #endif /* Thumb */
652 
653 #endif /* ARMv3 */
654 
655 #if defined(__alpha__)
656 
657 #define MULADDC_INIT \
658  asm( \
659  "ldq $1, %3 \n\t" \
660  "ldq $2, %4 \n\t" \
661  "ldq $3, %5 \n\t" \
662  "ldq $4, %6 \n\t"
663 
664 #define MULADDC_CORE \
665  "ldq $6, 0($1) \n\t" \
666  "addq $1, 8, $1 \n\t" \
667  "mulq $6, $4, $7 \n\t" \
668  "umulh $6, $4, $6 \n\t" \
669  "addq $7, $3, $7 \n\t" \
670  "cmpult $7, $3, $3 \n\t" \
671  "ldq $5, 0($2) \n\t" \
672  "addq $7, $5, $7 \n\t" \
673  "cmpult $7, $5, $5 \n\t" \
674  "stq $7, 0($2) \n\t" \
675  "addq $2, 8, $2 \n\t" \
676  "addq $6, $3, $3 \n\t" \
677  "addq $5, $3, $3 \n\t"
678 
679 #define MULADDC_STOP \
680  "stq $3, %0 \n\t" \
681  "stq $2, %1 \n\t" \
682  "stq $1, %2 \n\t" \
683  : "=m" (c), "=m" (d), "=m" (s) \
684  : "m" (s), "m" (d), "m" (c), "m" (b) \
685  : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
686  );
687 #endif /* Alpha */
688 
689 #if defined(__mips__) && !defined(__mips64)
690 
691 #define MULADDC_INIT \
692  asm( \
693  "lw $10, %3 \n\t" \
694  "lw $11, %4 \n\t" \
695  "lw $12, %5 \n\t" \
696  "lw $13, %6 \n\t"
697 
698 #define MULADDC_CORE \
699  "lw $14, 0($10) \n\t" \
700  "multu $13, $14 \n\t" \
701  "addi $10, $10, 4 \n\t" \
702  "mflo $14 \n\t" \
703  "mfhi $9 \n\t" \
704  "addu $14, $12, $14 \n\t" \
705  "lw $15, 0($11) \n\t" \
706  "sltu $12, $14, $12 \n\t" \
707  "addu $15, $14, $15 \n\t" \
708  "sltu $14, $15, $14 \n\t" \
709  "addu $12, $12, $9 \n\t" \
710  "sw $15, 0($11) \n\t" \
711  "addu $12, $12, $14 \n\t" \
712  "addi $11, $11, 4 \n\t"
713 
714 #define MULADDC_STOP \
715  "sw $12, %0 \n\t" \
716  "sw $11, %1 \n\t" \
717  "sw $10, %2 \n\t" \
718  : "=m" (c), "=m" (d), "=m" (s) \
719  : "m" (s), "m" (d), "m" (c), "m" (b) \
720  : "$9", "$10", "$11", "$12", "$13", "$14", "$15" \
721  );
722 
723 #endif /* MIPS */
724 #endif /* GNUC */
725 
726 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
727 
728 #define MULADDC_INIT \
729  __asm mov esi, s \
730  __asm mov edi, d \
731  __asm mov ecx, c \
732  __asm mov ebx, b
733 
734 #define MULADDC_CORE \
735  __asm lodsd \
736  __asm mul ebx \
737  __asm add eax, ecx \
738  __asm adc edx, 0 \
739  __asm add eax, [edi] \
740  __asm adc edx, 0 \
741  __asm mov ecx, edx \
742  __asm stosd
743 
744 #if defined(MBEDTLS_HAVE_SSE2)
745 
746 #define EMIT __asm _emit
747 
748 #define MULADDC_HUIT \
749  EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
750  EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
751  EMIT 0x0F EMIT 0x6E EMIT 0x1F \
752  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
753  EMIT 0x0F EMIT 0x6E EMIT 0x16 \
754  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
755  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
756  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
757  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
758  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
759  EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
760  EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
761  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
762  EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
763  EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
764  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
765  EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
766  EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
767  EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
768  EMIT 0x0F EMIT 0x7E EMIT 0x0F \
769  EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
770  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
771  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
772  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
773  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
774  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
775  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
776  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
777  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
778  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
779  EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
780  EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
781  EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
782  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
783  EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
784  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
785  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
786  EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
787  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
788  EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
789  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
790  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
791  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
792  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
793  EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
794  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
795  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
796  EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
797  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
798  EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
799  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
800  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
801  EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
802  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
803  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
804  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
805  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
806  EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
807  EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
808  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
809  EMIT 0x0F EMIT 0x7E EMIT 0xC9
810 
811 #define MULADDC_STOP \
812  EMIT 0x0F EMIT 0x77 \
813  __asm mov c, ecx \
814  __asm mov d, edi \
815  __asm mov s, esi \
816 
817 #else
818 
819 #define MULADDC_STOP \
820  __asm mov c, ecx \
821  __asm mov d, edi \
822  __asm mov s, esi \
823 
824 #endif /* SSE2 */
825 #endif /* MSVC */
826 
827 #endif /* MBEDTLS_HAVE_ASM */
828 
829 #if !defined(MULADDC_CORE)
830 #if defined(MBEDTLS_HAVE_UDBL)
831 
832 #define MULADDC_INIT \
833 { \
834  mbedtls_t_udbl r; \
835  mbedtls_mpi_uint r0, r1;
836 
837 #define MULADDC_CORE \
838  r = *(s++) * (mbedtls_t_udbl) b; \
839  r0 = (mbedtls_mpi_uint) r; \
840  r1 = (mbedtls_mpi_uint)( r >> biL ); \
841  r0 += c; r1 += (r0 < c); \
842  r0 += *d; r1 += (r0 < *d); \
843  c = r1; *(d++) = r0;
844 
845 #define MULADDC_STOP \
846 }
847 
848 #else
849 #define MULADDC_INIT \
850 { \
851  mbedtls_mpi_uint s0, s1, b0, b1; \
852  mbedtls_mpi_uint r0, r1, rx, ry; \
853  b0 = ( b << biH ) >> biH; \
854  b1 = ( b >> biH );
855 
856 #define MULADDC_CORE \
857  s0 = ( *s << biH ) >> biH; \
858  s1 = ( *s >> biH ); s++; \
859  rx = s0 * b1; r0 = s0 * b0; \
860  ry = s1 * b0; r1 = s1 * b1; \
861  r1 += ( rx >> biH ); \
862  r1 += ( ry >> biH ); \
863  rx <<= biH; ry <<= biH; \
864  r0 += rx; r1 += (r0 < rx); \
865  r0 += ry; r1 += (r0 < ry); \
866  r0 += c; r1 += (r0 < c); \
867  r0 += *d; r1 += (r0 < *d); \
868  c = r1; *(d++) = r0;
869 
870 #define MULADDC_STOP \
871 }
872 
873 #endif /* C (generic) */
874 #endif /* C (longlong) */
875 
876 #endif /* bn_mul.h */
bignum.h
Multi-precision integer library.
Generated on Thu Mar 9 2017 20:48:04 for mbed TLS v2.2.0 by   doxygen 1.8.10