mbed TLS v2.28.2
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 
48 /*
49  * Conversion macros for embedded constants:
50  * build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
51  */
52 #if defined(MBEDTLS_HAVE_INT32)
53 
54 #define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \
55  ( (mbedtls_mpi_uint) (a) << 0 ) | \
56  ( (mbedtls_mpi_uint) (b) << 8 ) | \
57  ( (mbedtls_mpi_uint) (c) << 16 ) | \
58  ( (mbedtls_mpi_uint) (d) << 24 )
59 
60 #define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \
61  MBEDTLS_BYTES_TO_T_UINT_4( a, b, 0, 0 )
62 
63 #define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
64  MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ), \
65  MBEDTLS_BYTES_TO_T_UINT_4( e, f, g, h )
66 
67 #else /* 64-bits */
68 
69 #define MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
70  ( (mbedtls_mpi_uint) (a) << 0 ) | \
71  ( (mbedtls_mpi_uint) (b) << 8 ) | \
72  ( (mbedtls_mpi_uint) (c) << 16 ) | \
73  ( (mbedtls_mpi_uint) (d) << 24 ) | \
74  ( (mbedtls_mpi_uint) (e) << 32 ) | \
75  ( (mbedtls_mpi_uint) (f) << 40 ) | \
76  ( (mbedtls_mpi_uint) (g) << 48 ) | \
77  ( (mbedtls_mpi_uint) (h) << 56 )
78 
79 #define MBEDTLS_BYTES_TO_T_UINT_4( a, b, c, d ) \
80  MBEDTLS_BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
81 
82 #define MBEDTLS_BYTES_TO_T_UINT_2( a, b ) \
83  MBEDTLS_BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
84 
85 #endif /* bits in mbedtls_mpi_uint */
86 
87 #if defined(MBEDTLS_HAVE_ASM)
88 
89 #ifndef asm
90 #define asm __asm
91 #endif
92 
93 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
94 #if defined(__GNUC__) && \
95  ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
96 
97 /*
98  * GCC < 5.0 treated the x86 ebx (which is used for the GOT) as a
99  * fixed reserved register when building as PIC, leading to errors
100  * like: bn_mul.h:46:13: error: PIC register clobbered by 'ebx' in 'asm'
101  *
102  * This is fixed by an improved register allocator in GCC 5+. From the
103  * release notes:
104  * Register allocation improvements: Reuse of the PIC hard register,
105  * instead of using a fixed register, was implemented on x86/x86-64
106  * targets. This improves generated PIC code performance as more hard
107  * registers can be used.
108  */
109 #if defined(__GNUC__) && __GNUC__ < 5 && defined(__PIC__)
110 #define MULADDC_CANNOT_USE_EBX
111 #endif
112 
113 /*
114  * Disable use of the i386 assembly code below if option -O0, to disable all
115  * compiler optimisations, is passed, detected with __OPTIMIZE__
116  * This is done as the number of registers used in the assembly code doesn't
117  * work with the -O0 option.
118  */
119 #if defined(__i386__) && defined(__OPTIMIZE__) && !defined(MULADDC_CANNOT_USE_EBX)
120 
121 #define MULADDC_INIT \
122  asm( \
123  "movl %%ebx, %0 \n\t" \
124  "movl %5, %%esi \n\t" \
125  "movl %6, %%edi \n\t" \
126  "movl %7, %%ecx \n\t" \
127  "movl %8, %%ebx \n\t"
128 
129 #define MULADDC_CORE \
130  "lodsl \n\t" \
131  "mull %%ebx \n\t" \
132  "addl %%ecx, %%eax \n\t" \
133  "adcl $0, %%edx \n\t" \
134  "addl (%%edi), %%eax \n\t" \
135  "adcl $0, %%edx \n\t" \
136  "movl %%edx, %%ecx \n\t" \
137  "stosl \n\t"
138 
139 #if defined(MBEDTLS_HAVE_SSE2)
140 
141 #define MULADDC_HUIT \
142  "movd %%ecx, %%mm1 \n\t" \
143  "movd %%ebx, %%mm0 \n\t" \
144  "movd (%%edi), %%mm3 \n\t" \
145  "paddq %%mm3, %%mm1 \n\t" \
146  "movd (%%esi), %%mm2 \n\t" \
147  "pmuludq %%mm0, %%mm2 \n\t" \
148  "movd 4(%%esi), %%mm4 \n\t" \
149  "pmuludq %%mm0, %%mm4 \n\t" \
150  "movd 8(%%esi), %%mm6 \n\t" \
151  "pmuludq %%mm0, %%mm6 \n\t" \
152  "movd 12(%%esi), %%mm7 \n\t" \
153  "pmuludq %%mm0, %%mm7 \n\t" \
154  "paddq %%mm2, %%mm1 \n\t" \
155  "movd 4(%%edi), %%mm3 \n\t" \
156  "paddq %%mm4, %%mm3 \n\t" \
157  "movd 8(%%edi), %%mm5 \n\t" \
158  "paddq %%mm6, %%mm5 \n\t" \
159  "movd 12(%%edi), %%mm4 \n\t" \
160  "paddq %%mm4, %%mm7 \n\t" \
161  "movd %%mm1, (%%edi) \n\t" \
162  "movd 16(%%esi), %%mm2 \n\t" \
163  "pmuludq %%mm0, %%mm2 \n\t" \
164  "psrlq $32, %%mm1 \n\t" \
165  "movd 20(%%esi), %%mm4 \n\t" \
166  "pmuludq %%mm0, %%mm4 \n\t" \
167  "paddq %%mm3, %%mm1 \n\t" \
168  "movd 24(%%esi), %%mm6 \n\t" \
169  "pmuludq %%mm0, %%mm6 \n\t" \
170  "movd %%mm1, 4(%%edi) \n\t" \
171  "psrlq $32, %%mm1 \n\t" \
172  "movd 28(%%esi), %%mm3 \n\t" \
173  "pmuludq %%mm0, %%mm3 \n\t" \
174  "paddq %%mm5, %%mm1 \n\t" \
175  "movd 16(%%edi), %%mm5 \n\t" \
176  "paddq %%mm5, %%mm2 \n\t" \
177  "movd %%mm1, 8(%%edi) \n\t" \
178  "psrlq $32, %%mm1 \n\t" \
179  "paddq %%mm7, %%mm1 \n\t" \
180  "movd 20(%%edi), %%mm5 \n\t" \
181  "paddq %%mm5, %%mm4 \n\t" \
182  "movd %%mm1, 12(%%edi) \n\t" \
183  "psrlq $32, %%mm1 \n\t" \
184  "paddq %%mm2, %%mm1 \n\t" \
185  "movd 24(%%edi), %%mm5 \n\t" \
186  "paddq %%mm5, %%mm6 \n\t" \
187  "movd %%mm1, 16(%%edi) \n\t" \
188  "psrlq $32, %%mm1 \n\t" \
189  "paddq %%mm4, %%mm1 \n\t" \
190  "movd 28(%%edi), %%mm5 \n\t" \
191  "paddq %%mm5, %%mm3 \n\t" \
192  "movd %%mm1, 20(%%edi) \n\t" \
193  "psrlq $32, %%mm1 \n\t" \
194  "paddq %%mm6, %%mm1 \n\t" \
195  "movd %%mm1, 24(%%edi) \n\t" \
196  "psrlq $32, %%mm1 \n\t" \
197  "paddq %%mm3, %%mm1 \n\t" \
198  "movd %%mm1, 28(%%edi) \n\t" \
199  "addl $32, %%edi \n\t" \
200  "addl $32, %%esi \n\t" \
201  "psrlq $32, %%mm1 \n\t" \
202  "movd %%mm1, %%ecx \n\t"
203 
204 #define MULADDC_STOP \
205  "emms \n\t" \
206  "movl %4, %%ebx \n\t" \
207  "movl %%ecx, %1 \n\t" \
208  "movl %%edi, %2 \n\t" \
209  "movl %%esi, %3 \n\t" \
210  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
211  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
212  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
213  );
214 
215 #else
216 
217 #define MULADDC_STOP \
218  "movl %4, %%ebx \n\t" \
219  "movl %%ecx, %1 \n\t" \
220  "movl %%edi, %2 \n\t" \
221  "movl %%esi, %3 \n\t" \
222  : "=m" (t), "=m" (c), "=m" (d), "=m" (s) \
223  : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b) \
224  : "eax", "ebx", "ecx", "edx", "esi", "edi" \
225  );
226 #endif /* SSE2 */
227 #endif /* i386 */
228 
229 #if defined(__amd64__) || defined (__x86_64__)
230 
231 #define MULADDC_INIT \
232  asm( \
233  "xorq %%r8, %%r8\n"
234 
235 #define MULADDC_CORE \
236  "movq (%%rsi), %%rax\n" \
237  "mulq %%rbx\n" \
238  "addq $8, %%rsi\n" \
239  "addq %%rcx, %%rax\n" \
240  "movq %%r8, %%rcx\n" \
241  "adcq $0, %%rdx\n" \
242  "nop \n" \
243  "addq %%rax, (%%rdi)\n" \
244  "adcq %%rdx, %%rcx\n" \
245  "addq $8, %%rdi\n"
246 
247 #define MULADDC_STOP \
248  : "+c" (c), "+D" (d), "+S" (s), "+m" (*(uint64_t (*)[16]) d) \
249  : "b" (b), "m" (*(const uint64_t (*)[16]) s) \
250  : "rax", "rdx", "r8" \
251  );
252 
253 #endif /* AMD64 */
254 
255 #if defined(__aarch64__)
256 
257 #define MULADDC_INIT \
258  asm(
259 
260 #define MULADDC_CORE \
261  "ldr x4, [%2], #8 \n\t" \
262  "ldr x5, [%1] \n\t" \
263  "mul x6, x4, %4 \n\t" \
264  "umulh x7, x4, %4 \n\t" \
265  "adds x5, x5, x6 \n\t" \
266  "adc x7, x7, xzr \n\t" \
267  "adds x5, x5, %0 \n\t" \
268  "adc %0, x7, xzr \n\t" \
269  "str x5, [%1], #8 \n\t"
270 
271 #define MULADDC_STOP \
272  : "+r" (c), "+r" (d), "+r" (s), "+m" (*(uint64_t (*)[16]) d) \
273  : "r" (b), "m" (*(const uint64_t (*)[16]) s) \
274  : "x4", "x5", "x6", "x7", "cc" \
275  );
276 
277 #endif /* Aarch64 */
278 
279 #if defined(__mc68020__) || defined(__mcpu32__)
280 
281 #define MULADDC_INIT \
282  asm( \
283  "movl %3, %%a2 \n\t" \
284  "movl %4, %%a3 \n\t" \
285  "movl %5, %%d3 \n\t" \
286  "movl %6, %%d2 \n\t" \
287  "moveq #0, %%d0 \n\t"
288 
289 #define MULADDC_CORE \
290  "movel %%a2@+, %%d1 \n\t" \
291  "mulul %%d2, %%d4:%%d1 \n\t" \
292  "addl %%d3, %%d1 \n\t" \
293  "addxl %%d0, %%d4 \n\t" \
294  "moveq #0, %%d3 \n\t" \
295  "addl %%d1, %%a3@+ \n\t" \
296  "addxl %%d4, %%d3 \n\t"
297 
298 #define MULADDC_STOP \
299  "movl %%d3, %0 \n\t" \
300  "movl %%a3, %1 \n\t" \
301  "movl %%a2, %2 \n\t" \
302  : "=m" (c), "=m" (d), "=m" (s) \
303  : "m" (s), "m" (d), "m" (c), "m" (b) \
304  : "d0", "d1", "d2", "d3", "d4", "a2", "a3" \
305  );
306 
307 #define MULADDC_HUIT \
308  "movel %%a2@+, %%d1 \n\t" \
309  "mulul %%d2, %%d4:%%d1 \n\t" \
310  "addxl %%d3, %%d1 \n\t" \
311  "addxl %%d0, %%d4 \n\t" \
312  "addl %%d1, %%a3@+ \n\t" \
313  "movel %%a2@+, %%d1 \n\t" \
314  "mulul %%d2, %%d3:%%d1 \n\t" \
315  "addxl %%d4, %%d1 \n\t" \
316  "addxl %%d0, %%d3 \n\t" \
317  "addl %%d1, %%a3@+ \n\t" \
318  "movel %%a2@+, %%d1 \n\t" \
319  "mulul %%d2, %%d4:%%d1 \n\t" \
320  "addxl %%d3, %%d1 \n\t" \
321  "addxl %%d0, %%d4 \n\t" \
322  "addl %%d1, %%a3@+ \n\t" \
323  "movel %%a2@+, %%d1 \n\t" \
324  "mulul %%d2, %%d3:%%d1 \n\t" \
325  "addxl %%d4, %%d1 \n\t" \
326  "addxl %%d0, %%d3 \n\t" \
327  "addl %%d1, %%a3@+ \n\t" \
328  "movel %%a2@+, %%d1 \n\t" \
329  "mulul %%d2, %%d4:%%d1 \n\t" \
330  "addxl %%d3, %%d1 \n\t" \
331  "addxl %%d0, %%d4 \n\t" \
332  "addl %%d1, %%a3@+ \n\t" \
333  "movel %%a2@+, %%d1 \n\t" \
334  "mulul %%d2, %%d3:%%d1 \n\t" \
335  "addxl %%d4, %%d1 \n\t" \
336  "addxl %%d0, %%d3 \n\t" \
337  "addl %%d1, %%a3@+ \n\t" \
338  "movel %%a2@+, %%d1 \n\t" \
339  "mulul %%d2, %%d4:%%d1 \n\t" \
340  "addxl %%d3, %%d1 \n\t" \
341  "addxl %%d0, %%d4 \n\t" \
342  "addl %%d1, %%a3@+ \n\t" \
343  "movel %%a2@+, %%d1 \n\t" \
344  "mulul %%d2, %%d3:%%d1 \n\t" \
345  "addxl %%d4, %%d1 \n\t" \
346  "addxl %%d0, %%d3 \n\t" \
347  "addl %%d1, %%a3@+ \n\t" \
348  "addxl %%d0, %%d3 \n\t"
349 
350 #endif /* MC68000 */
351 
352 #if defined(__powerpc64__) || defined(__ppc64__)
353 
354 #if defined(__MACH__) && defined(__APPLE__)
355 
356 #define MULADDC_INIT \
357  asm( \
358  "ld r3, %3 \n\t" \
359  "ld r4, %4 \n\t" \
360  "ld r5, %5 \n\t" \
361  "ld r6, %6 \n\t" \
362  "addi r3, r3, -8 \n\t" \
363  "addi r4, r4, -8 \n\t" \
364  "addic r5, r5, 0 \n\t"
365 
366 #define MULADDC_CORE \
367  "ldu r7, 8(r3) \n\t" \
368  "mulld r8, r7, r6 \n\t" \
369  "mulhdu r9, r7, r6 \n\t" \
370  "adde r8, r8, r5 \n\t" \
371  "ld r7, 8(r4) \n\t" \
372  "addze r5, r9 \n\t" \
373  "addc r8, r8, r7 \n\t" \
374  "stdu r8, 8(r4) \n\t"
375 
376 #define MULADDC_STOP \
377  "addze r5, r5 \n\t" \
378  "addi r4, r4, 8 \n\t" \
379  "addi r3, r3, 8 \n\t" \
380  "std r5, %0 \n\t" \
381  "std r4, %1 \n\t" \
382  "std r3, %2 \n\t" \
383  : "=m" (c), "=m" (d), "=m" (s) \
384  : "m" (s), "m" (d), "m" (c), "m" (b) \
385  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
386  );
387 
388 
389 #else /* __MACH__ && __APPLE__ */
390 
391 #define MULADDC_INIT \
392  asm( \
393  "ld %%r3, %3 \n\t" \
394  "ld %%r4, %4 \n\t" \
395  "ld %%r5, %5 \n\t" \
396  "ld %%r6, %6 \n\t" \
397  "addi %%r3, %%r3, -8 \n\t" \
398  "addi %%r4, %%r4, -8 \n\t" \
399  "addic %%r5, %%r5, 0 \n\t"
400 
401 #define MULADDC_CORE \
402  "ldu %%r7, 8(%%r3) \n\t" \
403  "mulld %%r8, %%r7, %%r6 \n\t" \
404  "mulhdu %%r9, %%r7, %%r6 \n\t" \
405  "adde %%r8, %%r8, %%r5 \n\t" \
406  "ld %%r7, 8(%%r4) \n\t" \
407  "addze %%r5, %%r9 \n\t" \
408  "addc %%r8, %%r8, %%r7 \n\t" \
409  "stdu %%r8, 8(%%r4) \n\t"
410 
411 #define MULADDC_STOP \
412  "addze %%r5, %%r5 \n\t" \
413  "addi %%r4, %%r4, 8 \n\t" \
414  "addi %%r3, %%r3, 8 \n\t" \
415  "std %%r5, %0 \n\t" \
416  "std %%r4, %1 \n\t" \
417  "std %%r3, %2 \n\t" \
418  : "=m" (c), "=m" (d), "=m" (s) \
419  : "m" (s), "m" (d), "m" (c), "m" (b) \
420  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
421  );
422 
423 #endif /* __MACH__ && __APPLE__ */
424 
425 #elif defined(__powerpc__) || defined(__ppc__) /* end PPC64/begin PPC32 */
426 
427 #if defined(__MACH__) && defined(__APPLE__)
428 
429 #define MULADDC_INIT \
430  asm( \
431  "lwz r3, %3 \n\t" \
432  "lwz r4, %4 \n\t" \
433  "lwz r5, %5 \n\t" \
434  "lwz r6, %6 \n\t" \
435  "addi r3, r3, -4 \n\t" \
436  "addi r4, r4, -4 \n\t" \
437  "addic r5, r5, 0 \n\t"
438 
439 #define MULADDC_CORE \
440  "lwzu r7, 4(r3) \n\t" \
441  "mullw r8, r7, r6 \n\t" \
442  "mulhwu r9, r7, r6 \n\t" \
443  "adde r8, r8, r5 \n\t" \
444  "lwz r7, 4(r4) \n\t" \
445  "addze r5, r9 \n\t" \
446  "addc r8, r8, r7 \n\t" \
447  "stwu r8, 4(r4) \n\t"
448 
449 #define MULADDC_STOP \
450  "addze r5, r5 \n\t" \
451  "addi r4, r4, 4 \n\t" \
452  "addi r3, r3, 4 \n\t" \
453  "stw r5, %0 \n\t" \
454  "stw r4, %1 \n\t" \
455  "stw r3, %2 \n\t" \
456  : "=m" (c), "=m" (d), "=m" (s) \
457  : "m" (s), "m" (d), "m" (c), "m" (b) \
458  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
459  );
460 
461 #else /* __MACH__ && __APPLE__ */
462 
463 #define MULADDC_INIT \
464  asm( \
465  "lwz %%r3, %3 \n\t" \
466  "lwz %%r4, %4 \n\t" \
467  "lwz %%r5, %5 \n\t" \
468  "lwz %%r6, %6 \n\t" \
469  "addi %%r3, %%r3, -4 \n\t" \
470  "addi %%r4, %%r4, -4 \n\t" \
471  "addic %%r5, %%r5, 0 \n\t"
472 
473 #define MULADDC_CORE \
474  "lwzu %%r7, 4(%%r3) \n\t" \
475  "mullw %%r8, %%r7, %%r6 \n\t" \
476  "mulhwu %%r9, %%r7, %%r6 \n\t" \
477  "adde %%r8, %%r8, %%r5 \n\t" \
478  "lwz %%r7, 4(%%r4) \n\t" \
479  "addze %%r5, %%r9 \n\t" \
480  "addc %%r8, %%r8, %%r7 \n\t" \
481  "stwu %%r8, 4(%%r4) \n\t"
482 
483 #define MULADDC_STOP \
484  "addze %%r5, %%r5 \n\t" \
485  "addi %%r4, %%r4, 4 \n\t" \
486  "addi %%r3, %%r3, 4 \n\t" \
487  "stw %%r5, %0 \n\t" \
488  "stw %%r4, %1 \n\t" \
489  "stw %%r3, %2 \n\t" \
490  : "=m" (c), "=m" (d), "=m" (s) \
491  : "m" (s), "m" (d), "m" (c), "m" (b) \
492  : "r3", "r4", "r5", "r6", "r7", "r8", "r9" \
493  );
494 
495 #endif /* __MACH__ && __APPLE__ */
496 
497 #endif /* PPC32 */
498 
499 /*
500  * The Sparc(64) assembly is reported to be broken.
501  * Disable it for now, until we're able to fix it.
502  */
503 #if 0 && defined(__sparc__)
504 #if defined(__sparc64__)
505 
506 #define MULADDC_INIT \
507  asm( \
508  "ldx %3, %%o0 \n\t" \
509  "ldx %4, %%o1 \n\t" \
510  "ld %5, %%o2 \n\t" \
511  "ld %6, %%o3 \n\t"
512 
513 #define MULADDC_CORE \
514  "ld [%%o0], %%o4 \n\t" \
515  "inc 4, %%o0 \n\t" \
516  "ld [%%o1], %%o5 \n\t" \
517  "umul %%o3, %%o4, %%o4 \n\t" \
518  "addcc %%o4, %%o2, %%o4 \n\t" \
519  "rd %%y, %%g1 \n\t" \
520  "addx %%g1, 0, %%g1 \n\t" \
521  "addcc %%o4, %%o5, %%o4 \n\t" \
522  "st %%o4, [%%o1] \n\t" \
523  "addx %%g1, 0, %%o2 \n\t" \
524  "inc 4, %%o1 \n\t"
525 
526  #define MULADDC_STOP \
527  "st %%o2, %0 \n\t" \
528  "stx %%o1, %1 \n\t" \
529  "stx %%o0, %2 \n\t" \
530  : "=m" (c), "=m" (d), "=m" (s) \
531  : "m" (s), "m" (d), "m" (c), "m" (b) \
532  : "g1", "o0", "o1", "o2", "o3", "o4", \
533  "o5" \
534  );
535 
536 #else /* __sparc64__ */
537 
538 #define MULADDC_INIT \
539  asm( \
540  "ld %3, %%o0 \n\t" \
541  "ld %4, %%o1 \n\t" \
542  "ld %5, %%o2 \n\t" \
543  "ld %6, %%o3 \n\t"
544 
545 #define MULADDC_CORE \
546  "ld [%%o0], %%o4 \n\t" \
547  "inc 4, %%o0 \n\t" \
548  "ld [%%o1], %%o5 \n\t" \
549  "umul %%o3, %%o4, %%o4 \n\t" \
550  "addcc %%o4, %%o2, %%o4 \n\t" \
551  "rd %%y, %%g1 \n\t" \
552  "addx %%g1, 0, %%g1 \n\t" \
553  "addcc %%o4, %%o5, %%o4 \n\t" \
554  "st %%o4, [%%o1] \n\t" \
555  "addx %%g1, 0, %%o2 \n\t" \
556  "inc 4, %%o1 \n\t"
557 
558 #define MULADDC_STOP \
559  "st %%o2, %0 \n\t" \
560  "st %%o1, %1 \n\t" \
561  "st %%o0, %2 \n\t" \
562  : "=m" (c), "=m" (d), "=m" (s) \
563  : "m" (s), "m" (d), "m" (c), "m" (b) \
564  : "g1", "o0", "o1", "o2", "o3", "o4", \
565  "o5" \
566  );
567 
568 #endif /* __sparc64__ */
569 #endif /* __sparc__ */
570 
571 #if defined(__microblaze__) || defined(microblaze)
572 
573 #define MULADDC_INIT \
574  asm( \
575  "lwi r3, %3 \n\t" \
576  "lwi r4, %4 \n\t" \
577  "lwi r5, %5 \n\t" \
578  "lwi r6, %6 \n\t" \
579  "andi r7, r6, 0xffff \n\t" \
580  "bsrli r6, r6, 16 \n\t"
581 
582 #if(__BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__)
583 #define MULADDC_LHUI \
584  "lhui r9, r3, 0 \n\t" \
585  "addi r3, r3, 2 \n\t" \
586  "lhui r8, r3, 0 \n\t"
587 #else
588 #define MULADDC_LHUI \
589  "lhui r8, r3, 0 \n\t" \
590  "addi r3, r3, 2 \n\t" \
591  "lhui r9, r3, 0 \n\t"
592 #endif
593 
594 #define MULADDC_CORE \
595  MULADDC_LHUI \
596  "addi r3, r3, 2 \n\t" \
597  "mul r10, r9, r6 \n\t" \
598  "mul r11, r8, r7 \n\t" \
599  "mul r12, r9, r7 \n\t" \
600  "mul r13, r8, r6 \n\t" \
601  "bsrli r8, r10, 16 \n\t" \
602  "bsrli r9, r11, 16 \n\t" \
603  "add r13, r13, r8 \n\t" \
604  "add r13, r13, r9 \n\t" \
605  "bslli r10, r10, 16 \n\t" \
606  "bslli r11, r11, 16 \n\t" \
607  "add r12, r12, r10 \n\t" \
608  "addc r13, r13, r0 \n\t" \
609  "add r12, r12, r11 \n\t" \
610  "addc r13, r13, r0 \n\t" \
611  "lwi r10, r4, 0 \n\t" \
612  "add r12, r12, r10 \n\t" \
613  "addc r13, r13, r0 \n\t" \
614  "add r12, r12, r5 \n\t" \
615  "addc r5, r13, r0 \n\t" \
616  "swi r12, r4, 0 \n\t" \
617  "addi r4, r4, 4 \n\t"
618 
619 #define MULADDC_STOP \
620  "swi r5, %0 \n\t" \
621  "swi r4, %1 \n\t" \
622  "swi r3, %2 \n\t" \
623  : "=m" (c), "=m" (d), "=m" (s) \
624  : "m" (s), "m" (d), "m" (c), "m" (b) \
625  : "r3", "r4", "r5", "r6", "r7", "r8", \
626  "r9", "r10", "r11", "r12", "r13" \
627  );
628 
629 #endif /* MicroBlaze */
630 
631 #if defined(__tricore__)
632 
633 #define MULADDC_INIT \
634  asm( \
635  "ld.a %%a2, %3 \n\t" \
636  "ld.a %%a3, %4 \n\t" \
637  "ld.w %%d4, %5 \n\t" \
638  "ld.w %%d1, %6 \n\t" \
639  "xor %%d5, %%d5 \n\t"
640 
641 #define MULADDC_CORE \
642  "ld.w %%d0, [%%a2+] \n\t" \
643  "madd.u %%e2, %%e4, %%d0, %%d1 \n\t" \
644  "ld.w %%d0, [%%a3] \n\t" \
645  "addx %%d2, %%d2, %%d0 \n\t" \
646  "addc %%d3, %%d3, 0 \n\t" \
647  "mov %%d4, %%d3 \n\t" \
648  "st.w [%%a3+], %%d2 \n\t"
649 
650 #define MULADDC_STOP \
651  "st.w %0, %%d4 \n\t" \
652  "st.a %1, %%a3 \n\t" \
653  "st.a %2, %%a2 \n\t" \
654  : "=m" (c), "=m" (d), "=m" (s) \
655  : "m" (s), "m" (d), "m" (c), "m" (b) \
656  : "d0", "d1", "e2", "d4", "a2", "a3" \
657  );
658 
659 #endif /* TriCore */
660 
661 /*
662  * Note, gcc -O0 by default uses r7 for the frame pointer, so it complains about
663  * our use of r7 below, unless -fomit-frame-pointer is passed.
664  *
665  * On the other hand, -fomit-frame-pointer is implied by any -Ox options with
666  * x !=0, which we can detect using __OPTIMIZE__ (which is also defined by
667  * clang and armcc5 under the same conditions).
668  *
669  * So, only use the optimized assembly below for optimized build, which avoids
670  * the build error and is pretty reasonable anyway.
671  */
672 #if defined(__GNUC__) && !defined(__OPTIMIZE__)
673 #define MULADDC_CANNOT_USE_R7
674 #endif
675 
676 #if defined(__arm__) && !defined(MULADDC_CANNOT_USE_R7)
677 
678 #if defined(__thumb__) && !defined(__thumb2__)
679 
680 #define MULADDC_INIT \
681  asm( \
682  "ldr r0, %3 \n\t" \
683  "ldr r1, %4 \n\t" \
684  "ldr r2, %5 \n\t" \
685  "ldr r3, %6 \n\t" \
686  "lsr r7, r3, #16 \n\t" \
687  "mov r9, r7 \n\t" \
688  "lsl r7, r3, #16 \n\t" \
689  "lsr r7, r7, #16 \n\t" \
690  "mov r8, r7 \n\t"
691 
692 #define MULADDC_CORE \
693  "ldmia r0!, {r6} \n\t" \
694  "lsr r7, r6, #16 \n\t" \
695  "lsl r6, r6, #16 \n\t" \
696  "lsr r6, r6, #16 \n\t" \
697  "mov r4, r8 \n\t" \
698  "mul r4, r6 \n\t" \
699  "mov r3, r9 \n\t" \
700  "mul r6, r3 \n\t" \
701  "mov r5, r9 \n\t" \
702  "mul r5, r7 \n\t" \
703  "mov r3, r8 \n\t" \
704  "mul r7, r3 \n\t" \
705  "lsr r3, r6, #16 \n\t" \
706  "add r5, r5, r3 \n\t" \
707  "lsr r3, r7, #16 \n\t" \
708  "add r5, r5, r3 \n\t" \
709  "add r4, r4, r2 \n\t" \
710  "mov r2, #0 \n\t" \
711  "adc r5, r2 \n\t" \
712  "lsl r3, r6, #16 \n\t" \
713  "add r4, r4, r3 \n\t" \
714  "adc r5, r2 \n\t" \
715  "lsl r3, r7, #16 \n\t" \
716  "add r4, r4, r3 \n\t" \
717  "adc r5, r2 \n\t" \
718  "ldr r3, [r1] \n\t" \
719  "add r4, r4, r3 \n\t" \
720  "adc r2, r5 \n\t" \
721  "stmia r1!, {r4} \n\t"
722 
723 #define MULADDC_STOP \
724  "str r2, %0 \n\t" \
725  "str r1, %1 \n\t" \
726  "str r0, %2 \n\t" \
727  : "=m" (c), "=m" (d), "=m" (s) \
728  : "m" (s), "m" (d), "m" (c), "m" (b) \
729  : "r0", "r1", "r2", "r3", "r4", "r5", \
730  "r6", "r7", "r8", "r9", "cc" \
731  );
732 
733 #elif (__ARM_ARCH >= 6) && \
734  defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1)
735 
736 #define MULADDC_INIT \
737  asm(
738 
739 #define MULADDC_CORE \
740  "ldr r0, [%0], #4 \n\t" \
741  "ldr r1, [%1] \n\t" \
742  "umaal r1, %2, %3, r0 \n\t" \
743  "str r1, [%1], #4 \n\t"
744 
745 #define MULADDC_STOP \
746  : "=r" (s), "=r" (d), "=r" (c) \
747  : "r" (b), "0" (s), "1" (d), "2" (c) \
748  : "r0", "r1", "memory" \
749  );
750 
751 #else
752 
753 #define MULADDC_INIT \
754  asm( \
755  "ldr r0, %3 \n\t" \
756  "ldr r1, %4 \n\t" \
757  "ldr r2, %5 \n\t" \
758  "ldr r3, %6 \n\t"
759 
760 #define MULADDC_CORE \
761  "ldr r4, [r0], #4 \n\t" \
762  "mov r5, #0 \n\t" \
763  "ldr r6, [r1] \n\t" \
764  "umlal r2, r5, r3, r4 \n\t" \
765  "adds r7, r6, r2 \n\t" \
766  "adc r2, r5, #0 \n\t" \
767  "str r7, [r1], #4 \n\t"
768 
769 #define MULADDC_STOP \
770  "str r2, %0 \n\t" \
771  "str r1, %1 \n\t" \
772  "str r0, %2 \n\t" \
773  : "=m" (c), "=m" (d), "=m" (s) \
774  : "m" (s), "m" (d), "m" (c), "m" (b) \
775  : "r0", "r1", "r2", "r3", "r4", "r5", \
776  "r6", "r7", "cc" \
777  );
778 
779 #endif /* Thumb */
780 
781 #endif /* ARMv3 */
782 
783 #if defined(__alpha__)
784 
785 #define MULADDC_INIT \
786  asm( \
787  "ldq $1, %3 \n\t" \
788  "ldq $2, %4 \n\t" \
789  "ldq $3, %5 \n\t" \
790  "ldq $4, %6 \n\t"
791 
792 #define MULADDC_CORE \
793  "ldq $6, 0($1) \n\t" \
794  "addq $1, 8, $1 \n\t" \
795  "mulq $6, $4, $7 \n\t" \
796  "umulh $6, $4, $6 \n\t" \
797  "addq $7, $3, $7 \n\t" \
798  "cmpult $7, $3, $3 \n\t" \
799  "ldq $5, 0($2) \n\t" \
800  "addq $7, $5, $7 \n\t" \
801  "cmpult $7, $5, $5 \n\t" \
802  "stq $7, 0($2) \n\t" \
803  "addq $2, 8, $2 \n\t" \
804  "addq $6, $3, $3 \n\t" \
805  "addq $5, $3, $3 \n\t"
806 
807 #define MULADDC_STOP \
808  "stq $3, %0 \n\t" \
809  "stq $2, %1 \n\t" \
810  "stq $1, %2 \n\t" \
811  : "=m" (c), "=m" (d), "=m" (s) \
812  : "m" (s), "m" (d), "m" (c), "m" (b) \
813  : "$1", "$2", "$3", "$4", "$5", "$6", "$7" \
814  );
815 #endif /* Alpha */
816 
817 #if defined(__mips__) && !defined(__mips64)
818 
819 #define MULADDC_INIT \
820  asm( \
821  "lw $10, %3 \n\t" \
822  "lw $11, %4 \n\t" \
823  "lw $12, %5 \n\t" \
824  "lw $13, %6 \n\t"
825 
826 #define MULADDC_CORE \
827  "lw $14, 0($10) \n\t" \
828  "multu $13, $14 \n\t" \
829  "addi $10, $10, 4 \n\t" \
830  "mflo $14 \n\t" \
831  "mfhi $9 \n\t" \
832  "addu $14, $12, $14 \n\t" \
833  "lw $15, 0($11) \n\t" \
834  "sltu $12, $14, $12 \n\t" \
835  "addu $15, $14, $15 \n\t" \
836  "sltu $14, $15, $14 \n\t" \
837  "addu $12, $12, $9 \n\t" \
838  "sw $15, 0($11) \n\t" \
839  "addu $12, $12, $14 \n\t" \
840  "addi $11, $11, 4 \n\t"
841 
842 #define MULADDC_STOP \
843  "sw $12, %0 \n\t" \
844  "sw $11, %1 \n\t" \
845  "sw $10, %2 \n\t" \
846  : "=m" (c), "=m" (d), "=m" (s) \
847  : "m" (s), "m" (d), "m" (c), "m" (b) \
848  : "$9", "$10", "$11", "$12", "$13", "$14", "$15", "lo", "hi" \
849  );
850 
851 #endif /* MIPS */
852 #endif /* GNUC */
853 
854 #if (defined(_MSC_VER) && defined(_M_IX86)) || defined(__WATCOMC__)
855 
856 #define MULADDC_INIT \
857  __asm mov esi, s \
858  __asm mov edi, d \
859  __asm mov ecx, c \
860  __asm mov ebx, b
861 
862 #define MULADDC_CORE \
863  __asm lodsd \
864  __asm mul ebx \
865  __asm add eax, ecx \
866  __asm adc edx, 0 \
867  __asm add eax, [edi] \
868  __asm adc edx, 0 \
869  __asm mov ecx, edx \
870  __asm stosd
871 
872 #if defined(MBEDTLS_HAVE_SSE2)
873 
874 #define EMIT __asm _emit
875 
876 #define MULADDC_HUIT \
877  EMIT 0x0F EMIT 0x6E EMIT 0xC9 \
878  EMIT 0x0F EMIT 0x6E EMIT 0xC3 \
879  EMIT 0x0F EMIT 0x6E EMIT 0x1F \
880  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
881  EMIT 0x0F EMIT 0x6E EMIT 0x16 \
882  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
883  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x04 \
884  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
885  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x08 \
886  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
887  EMIT 0x0F EMIT 0x6E EMIT 0x7E EMIT 0x0C \
888  EMIT 0x0F EMIT 0xF4 EMIT 0xF8 \
889  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
890  EMIT 0x0F EMIT 0x6E EMIT 0x5F EMIT 0x04 \
891  EMIT 0x0F EMIT 0xD4 EMIT 0xDC \
892  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x08 \
893  EMIT 0x0F EMIT 0xD4 EMIT 0xEE \
894  EMIT 0x0F EMIT 0x6E EMIT 0x67 EMIT 0x0C \
895  EMIT 0x0F EMIT 0xD4 EMIT 0xFC \
896  EMIT 0x0F EMIT 0x7E EMIT 0x0F \
897  EMIT 0x0F EMIT 0x6E EMIT 0x56 EMIT 0x10 \
898  EMIT 0x0F EMIT 0xF4 EMIT 0xD0 \
899  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
900  EMIT 0x0F EMIT 0x6E EMIT 0x66 EMIT 0x14 \
901  EMIT 0x0F EMIT 0xF4 EMIT 0xE0 \
902  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
903  EMIT 0x0F EMIT 0x6E EMIT 0x76 EMIT 0x18 \
904  EMIT 0x0F EMIT 0xF4 EMIT 0xF0 \
905  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x04 \
906  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
907  EMIT 0x0F EMIT 0x6E EMIT 0x5E EMIT 0x1C \
908  EMIT 0x0F EMIT 0xF4 EMIT 0xD8 \
909  EMIT 0x0F EMIT 0xD4 EMIT 0xCD \
910  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x10 \
911  EMIT 0x0F EMIT 0xD4 EMIT 0xD5 \
912  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x08 \
913  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
914  EMIT 0x0F EMIT 0xD4 EMIT 0xCF \
915  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x14 \
916  EMIT 0x0F EMIT 0xD4 EMIT 0xE5 \
917  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x0C \
918  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
919  EMIT 0x0F EMIT 0xD4 EMIT 0xCA \
920  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x18 \
921  EMIT 0x0F EMIT 0xD4 EMIT 0xF5 \
922  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x10 \
923  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
924  EMIT 0x0F EMIT 0xD4 EMIT 0xCC \
925  EMIT 0x0F EMIT 0x6E EMIT 0x6F EMIT 0x1C \
926  EMIT 0x0F EMIT 0xD4 EMIT 0xDD \
927  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x14 \
928  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
929  EMIT 0x0F EMIT 0xD4 EMIT 0xCE \
930  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x18 \
931  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
932  EMIT 0x0F EMIT 0xD4 EMIT 0xCB \
933  EMIT 0x0F EMIT 0x7E EMIT 0x4F EMIT 0x1C \
934  EMIT 0x83 EMIT 0xC7 EMIT 0x20 \
935  EMIT 0x83 EMIT 0xC6 EMIT 0x20 \
936  EMIT 0x0F EMIT 0x73 EMIT 0xD1 EMIT 0x20 \
937  EMIT 0x0F EMIT 0x7E EMIT 0xC9
938 
939 #define MULADDC_STOP \
940  EMIT 0x0F EMIT 0x77 \
941  __asm mov c, ecx \
942  __asm mov d, edi \
943  __asm mov s, esi \
944 
945 #else
946 
947 #define MULADDC_STOP \
948  __asm mov c, ecx \
949  __asm mov d, edi \
950  __asm mov s, esi \
951 
952 #endif /* SSE2 */
953 #endif /* MSVC */
954 
955 #endif /* MBEDTLS_HAVE_ASM */
956 
957 #if !defined(MULADDC_CORE)
958 #if defined(MBEDTLS_HAVE_UDBL)
959 
960 #define MULADDC_INIT \
961 { \
962  mbedtls_t_udbl r; \
963  mbedtls_mpi_uint r0, r1;
964 
965 #define MULADDC_CORE \
966  r = *(s++) * (mbedtls_t_udbl) b; \
967  r0 = (mbedtls_mpi_uint) r; \
968  r1 = (mbedtls_mpi_uint)( r >> biL ); \
969  r0 += c; r1 += (r0 < c); \
970  r0 += *d; r1 += (r0 < *d); \
971  c = r1; *(d++) = r0;
972 
973 #define MULADDC_STOP \
974 }
975 
976 #else
977 #define MULADDC_INIT \
978 { \
979  mbedtls_mpi_uint s0, s1, b0, b1; \
980  mbedtls_mpi_uint r0, r1, rx, ry; \
981  b0 = ( b << biH ) >> biH; \
982  b1 = ( b >> biH );
983 
984 #define MULADDC_CORE \
985  s0 = ( *s << biH ) >> biH; \
986  s1 = ( *s >> biH ); s++; \
987  rx = s0 * b1; r0 = s0 * b0; \
988  ry = s1 * b0; r1 = s1 * b1; \
989  r1 += ( rx >> biH ); \
990  r1 += ( ry >> biH ); \
991  rx <<= biH; ry <<= biH; \
992  r0 += rx; r1 += (r0 < rx); \
993  r0 += ry; r1 += (r0 < ry); \
994  r0 += c; r1 += (r0 < c); \
995  r0 += *d; r1 += (r0 < *d); \
996  c = r1; *(d++) = r0;
997 
998 #define MULADDC_STOP \
999 }
1000 
1001 #endif /* C (generic) */
1002 #endif /* C (longlong) */
1003 
1004 #endif /* bn_mul.h */
Multi-precision integer library.
Configuration options (set of defines)