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1/* crypto/bn/bn_asm.c */
2/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
3 * All rights reserved.
4 *
5 * This package is an SSL implementation written
6 * by Eric Young (eay@cryptsoft.com).
7 * The implementation was written so as to conform with Netscapes SSL.
8 *
9 * This library is free for commercial and non-commercial use as long as
10 * the following conditions are aheared to. The following conditions
11 * apply to all code found in this distribution, be it the RC4, RSA,
12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
13 * included with this distribution is covered by the same copyright terms
14 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15 *
16 * Copyright remains Eric Young's, and as such any Copyright notices in
17 * the code are not to be removed.
18 * If this package is used in a product, Eric Young should be given attribution
19 * as the author of the parts of the library used.
20 * This can be in the form of a textual message at program startup or
21 * in documentation (online or textual) provided with the package.
22 *
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
25 * are met:
26 * 1. Redistributions of source code must retain the copyright
27 * notice, this list of conditions and the following disclaimer.
28 * 2. Redistributions in binary form must reproduce the above copyright
29 * notice, this list of conditions and the following disclaimer in the
30 * documentation and/or other materials provided with the distribution.
31 * 3. All advertising materials mentioning features or use of this software
32 * must display the following acknowledgement:
33 * "This product includes cryptographic software written by
34 * Eric Young (eay@cryptsoft.com)"
35 * The word 'cryptographic' can be left out if the rouines from the library
36 * being used are not cryptographic related :-).
37 * 4. If you include any Windows specific code (or a derivative thereof) from
38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40 *
41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
51 * SUCH DAMAGE.
52 *
53 * The licence and distribution terms for any publically available version or
54 * derivative of this code cannot be changed. i.e. this code cannot simply be
55 * copied and put under another distribution licence
56 * [including the GNU Public Licence.]
57 */
58
59#ifndef BN_DEBUG
60# undef NDEBUG /* avoid conflicting definitions */
61# define NDEBUG
62#endif
63
64#include <stdio.h>
65#include <assert.h>
66#include "cryptlib.h"
67#include "bn_lcl.h"
68
69#if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
70
71BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
72 {
73 BN_ULONG c1=0;
74
75 assert(num >= 0);
76 if (num <= 0) return(c1);
77
78 while (num&~3)
79 {
80 mul_add(rp[0],ap[0],w,c1);
81 mul_add(rp[1],ap[1],w,c1);
82 mul_add(rp[2],ap[2],w,c1);
83 mul_add(rp[3],ap[3],w,c1);
84 ap+=4; rp+=4; num-=4;
85 }
86 if (num)
87 {
88 mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
89 mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
90 mul_add(rp[2],ap[2],w,c1); return c1;
91 }
92
93 return(c1);
94 }
95
96BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
97 {
98 BN_ULONG c1=0;
99
100 assert(num >= 0);
101 if (num <= 0) return(c1);
102
103 while (num&~3)
104 {
105 mul(rp[0],ap[0],w,c1);
106 mul(rp[1],ap[1],w,c1);
107 mul(rp[2],ap[2],w,c1);
108 mul(rp[3],ap[3],w,c1);
109 ap+=4; rp+=4; num-=4;
110 }
111 if (num)
112 {
113 mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
114 mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
115 mul(rp[2],ap[2],w,c1);
116 }
117 return(c1);
118 }
119
120void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
121 {
122 assert(n >= 0);
123 if (n <= 0) return;
124 while (n&~3)
125 {
126 sqr(r[0],r[1],a[0]);
127 sqr(r[2],r[3],a[1]);
128 sqr(r[4],r[5],a[2]);
129 sqr(r[6],r[7],a[3]);
130 a+=4; r+=8; n-=4;
131 }
132 if (n)
133 {
134 sqr(r[0],r[1],a[0]); if (--n == 0) return;
135 sqr(r[2],r[3],a[1]); if (--n == 0) return;
136 sqr(r[4],r[5],a[2]);
137 }
138 }
139
140#else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
141
142BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
143 {
144 BN_ULONG c=0;
145 BN_ULONG bl,bh;
146
147 assert(num >= 0);
148 if (num <= 0) return((BN_ULONG)0);
149
150 bl=LBITS(w);
151 bh=HBITS(w);
152
153 for (;;)
154 {
155 mul_add(rp[0],ap[0],bl,bh,c);
156 if (--num == 0) break;
157 mul_add(rp[1],ap[1],bl,bh,c);
158 if (--num == 0) break;
159 mul_add(rp[2],ap[2],bl,bh,c);
160 if (--num == 0) break;
161 mul_add(rp[3],ap[3],bl,bh,c);
162 if (--num == 0) break;
163 ap+=4;
164 rp+=4;
165 }
166 return(c);
167 }
168
169BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
170 {
171 BN_ULONG carry=0;
172 BN_ULONG bl,bh;
173
174 assert(num >= 0);
175 if (num <= 0) return((BN_ULONG)0);
176
177 bl=LBITS(w);
178 bh=HBITS(w);
179
180 for (;;)
181 {
182 mul(rp[0],ap[0],bl,bh,carry);
183 if (--num == 0) break;
184 mul(rp[1],ap[1],bl,bh,carry);
185 if (--num == 0) break;
186 mul(rp[2],ap[2],bl,bh,carry);
187 if (--num == 0) break;
188 mul(rp[3],ap[3],bl,bh,carry);
189 if (--num == 0) break;
190 ap+=4;
191 rp+=4;
192 }
193 return(carry);
194 }
195
196void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
197 {
198 assert(n >= 0);
199 if (n <= 0) return;
200 for (;;)
201 {
202 sqr64(r[0],r[1],a[0]);
203 if (--n == 0) break;
204
205 sqr64(r[2],r[3],a[1]);
206 if (--n == 0) break;
207
208 sqr64(r[4],r[5],a[2]);
209 if (--n == 0) break;
210
211 sqr64(r[6],r[7],a[3]);
212 if (--n == 0) break;
213
214 a+=4;
215 r+=8;
216 }
217 }
218
219#endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
220
221#if defined(BN_LLONG) && defined(BN_DIV2W)
222
223BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
224 {
225 return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d));
226 }
227
228#else
229
230/* Divide h-l by d and return the result. */
231/* I need to test this some more :-( */
232BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
233 {
234 BN_ULONG dh,dl,q,ret=0,th,tl,t;
235 int i,count=2;
236
237 if (d == 0) return(BN_MASK2);
238
239 i=BN_num_bits_word(d);
240 if ((i != BN_BITS2) && (h > (BN_ULONG)1<<i))
241 {
242#if !defined(NO_STDIO) && !defined(WIN16)
243 fprintf(stderr,"Division would overflow (%d)\n",i);
244#endif
245 abort();
246 }
247 i=BN_BITS2-i;
248 if (h >= d) h-=d;
249
250 if (i)
251 {
252 d<<=i;
253 h=(h<<i)|(l>>(BN_BITS2-i));
254 l<<=i;
255 }
256 dh=(d&BN_MASK2h)>>BN_BITS4;
257 dl=(d&BN_MASK2l);
258 for (;;)
259 {
260 if ((h>>BN_BITS4) == dh)
261 q=BN_MASK2l;
262 else
263 q=h/dh;
264
265 th=q*dh;
266 tl=dl*q;
267 for (;;)
268 {
269 t=h-th;
270 if ((t&BN_MASK2h) ||
271 ((tl) <= (
272 (t<<BN_BITS4)|
273 ((l&BN_MASK2h)>>BN_BITS4))))
274 break;
275 q--;
276 th-=dh;
277 tl-=dl;
278 }
279 t=(tl>>BN_BITS4);
280 tl=(tl<<BN_BITS4)&BN_MASK2h;
281 th+=t;
282
283 if (l < tl) th++;
284 l-=tl;
285 if (h < th)
286 {
287 h+=d;
288 q--;
289 }
290 h-=th;
291
292 if (--count == 0) break;
293
294 ret=q<<BN_BITS4;
295 h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2;
296 l=(l&BN_MASK2l)<<BN_BITS4;
297 }
298 ret|=q;
299 return(ret);
300 }
301#endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
302
303#ifdef BN_LLONG
304BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
305 {
306 BN_ULLONG ll=0;
307
308 assert(n >= 0);
309 if (n <= 0) return((BN_ULONG)0);
310
311 for (;;)
312 {
313 ll+=(BN_ULLONG)a[0]+b[0];
314 r[0]=(BN_ULONG)ll&BN_MASK2;
315 ll>>=BN_BITS2;
316 if (--n <= 0) break;
317
318 ll+=(BN_ULLONG)a[1]+b[1];
319 r[1]=(BN_ULONG)ll&BN_MASK2;
320 ll>>=BN_BITS2;
321 if (--n <= 0) break;
322
323 ll+=(BN_ULLONG)a[2]+b[2];
324 r[2]=(BN_ULONG)ll&BN_MASK2;
325 ll>>=BN_BITS2;
326 if (--n <= 0) break;
327
328 ll+=(BN_ULLONG)a[3]+b[3];
329 r[3]=(BN_ULONG)ll&BN_MASK2;
330 ll>>=BN_BITS2;
331 if (--n <= 0) break;
332
333 a+=4;
334 b+=4;
335 r+=4;
336 }
337 return((BN_ULONG)ll);
338 }
339#else /* !BN_LLONG */
340BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
341 {
342 BN_ULONG c,l,t;
343
344 assert(n >= 0);
345 if (n <= 0) return((BN_ULONG)0);
346
347 c=0;
348 for (;;)
349 {
350 t=a[0];
351 t=(t+c)&BN_MASK2;
352 c=(t < c);
353 l=(t+b[0])&BN_MASK2;
354 c+=(l < t);
355 r[0]=l;
356 if (--n <= 0) break;
357
358 t=a[1];
359 t=(t+c)&BN_MASK2;
360 c=(t < c);
361 l=(t+b[1])&BN_MASK2;
362 c+=(l < t);
363 r[1]=l;
364 if (--n <= 0) break;
365
366 t=a[2];
367 t=(t+c)&BN_MASK2;
368 c=(t < c);
369 l=(t+b[2])&BN_MASK2;
370 c+=(l < t);
371 r[2]=l;
372 if (--n <= 0) break;
373
374 t=a[3];
375 t=(t+c)&BN_MASK2;
376 c=(t < c);
377 l=(t+b[3])&BN_MASK2;
378 c+=(l < t);
379 r[3]=l;
380 if (--n <= 0) break;
381
382 a+=4;
383 b+=4;
384 r+=4;
385 }
386 return((BN_ULONG)c);
387 }
388#endif /* !BN_LLONG */
389
390BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
391 {
392 BN_ULONG t1,t2;
393 int c=0;
394
395 assert(n >= 0);
396 if (n <= 0) return((BN_ULONG)0);
397
398 for (;;)
399 {
400 t1=a[0]; t2=b[0];
401 r[0]=(t1-t2-c)&BN_MASK2;
402 if (t1 != t2) c=(t1 < t2);
403 if (--n <= 0) break;
404
405 t1=a[1]; t2=b[1];
406 r[1]=(t1-t2-c)&BN_MASK2;
407 if (t1 != t2) c=(t1 < t2);
408 if (--n <= 0) break;
409
410 t1=a[2]; t2=b[2];
411 r[2]=(t1-t2-c)&BN_MASK2;
412 if (t1 != t2) c=(t1 < t2);
413 if (--n <= 0) break;
414
415 t1=a[3]; t2=b[3];
416 r[3]=(t1-t2-c)&BN_MASK2;
417 if (t1 != t2) c=(t1 < t2);
418 if (--n <= 0) break;
419
420 a+=4;
421 b+=4;
422 r+=4;
423 }
424 return(c);
425 }
426
427#ifdef BN_MUL_COMBA
428
429#undef bn_mul_comba8
430#undef bn_mul_comba4
431#undef bn_sqr_comba8
432#undef bn_sqr_comba4
433
434/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
435/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
436/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
437/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
438
439#ifdef BN_LLONG
440#define mul_add_c(a,b,c0,c1,c2) \
441 t=(BN_ULLONG)a*b; \
442 t1=(BN_ULONG)Lw(t); \
443 t2=(BN_ULONG)Hw(t); \
444 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
445 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
446
447#define mul_add_c2(a,b,c0,c1,c2) \
448 t=(BN_ULLONG)a*b; \
449 tt=(t+t)&BN_MASK; \
450 if (tt < t) c2++; \
451 t1=(BN_ULONG)Lw(tt); \
452 t2=(BN_ULONG)Hw(tt); \
453 c0=(c0+t1)&BN_MASK2; \
454 if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
455 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
456
457#define sqr_add_c(a,i,c0,c1,c2) \
458 t=(BN_ULLONG)a[i]*a[i]; \
459 t1=(BN_ULONG)Lw(t); \
460 t2=(BN_ULONG)Hw(t); \
461 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
462 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
463
464#define sqr_add_c2(a,i,j,c0,c1,c2) \
465 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
466
467#elif defined(BN_UMULT_HIGH)
468
469#define mul_add_c(a,b,c0,c1,c2) { \
470 BN_ULONG ta=(a),tb=(b); \
471 t1 = ta * tb; \
472 t2 = BN_UMULT_HIGH(ta,tb); \
473 c0 += t1; t2 += (c0<t1)?1:0; \
474 c1 += t2; c2 += (c1<t2)?1:0; \
475 }
476
477#define mul_add_c2(a,b,c0,c1,c2) { \
478 BN_ULONG ta=(a),tb=(b),t0; \
479 t1 = BN_UMULT_HIGH(ta,tb); \
480 t0 = ta * tb; \
481 t2 = t1+t1; c2 += (t2<t1)?1:0; \
482 t1 = t0+t0; t2 += (t1<t0)?1:0; \
483 c0 += t1; t2 += (c0<t1)?1:0; \
484 c1 += t2; c2 += (c1<t2)?1:0; \
485 }
486
487#define sqr_add_c(a,i,c0,c1,c2) { \
488 BN_ULONG ta=(a)[i]; \
489 t1 = ta * ta; \
490 t2 = BN_UMULT_HIGH(ta,ta); \
491 c0 += t1; t2 += (c0<t1)?1:0; \
492 c1 += t2; c2 += (c1<t2)?1:0; \
493 }
494
495#define sqr_add_c2(a,i,j,c0,c1,c2) \
496 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
497
498#else /* !BN_LLONG */
499#define mul_add_c(a,b,c0,c1,c2) \
500 t1=LBITS(a); t2=HBITS(a); \
501 bl=LBITS(b); bh=HBITS(b); \
502 mul64(t1,t2,bl,bh); \
503 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
504 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
505
506#define mul_add_c2(a,b,c0,c1,c2) \
507 t1=LBITS(a); t2=HBITS(a); \
508 bl=LBITS(b); bh=HBITS(b); \
509 mul64(t1,t2,bl,bh); \
510 if (t2 & BN_TBIT) c2++; \
511 t2=(t2+t2)&BN_MASK2; \
512 if (t1 & BN_TBIT) t2++; \
513 t1=(t1+t1)&BN_MASK2; \
514 c0=(c0+t1)&BN_MASK2; \
515 if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
516 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
517
518#define sqr_add_c(a,i,c0,c1,c2) \
519 sqr64(t1,t2,(a)[i]); \
520 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
521 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
522
523#define sqr_add_c2(a,i,j,c0,c1,c2) \
524 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
525#endif /* !BN_LLONG */
526
527void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
528 {
529#ifdef BN_LLONG
530 BN_ULLONG t;
531#else
532 BN_ULONG bl,bh;
533#endif
534 BN_ULONG t1,t2;
535 BN_ULONG c1,c2,c3;
536
537 c1=0;
538 c2=0;
539 c3=0;
540 mul_add_c(a[0],b[0],c1,c2,c3);
541 r[0]=c1;
542 c1=0;
543 mul_add_c(a[0],b[1],c2,c3,c1);
544 mul_add_c(a[1],b[0],c2,c3,c1);
545 r[1]=c2;
546 c2=0;
547 mul_add_c(a[2],b[0],c3,c1,c2);
548 mul_add_c(a[1],b[1],c3,c1,c2);
549 mul_add_c(a[0],b[2],c3,c1,c2);
550 r[2]=c3;
551 c3=0;
552 mul_add_c(a[0],b[3],c1,c2,c3);
553 mul_add_c(a[1],b[2],c1,c2,c3);
554 mul_add_c(a[2],b[1],c1,c2,c3);
555 mul_add_c(a[3],b[0],c1,c2,c3);
556 r[3]=c1;
557 c1=0;
558 mul_add_c(a[4],b[0],c2,c3,c1);
559 mul_add_c(a[3],b[1],c2,c3,c1);
560 mul_add_c(a[2],b[2],c2,c3,c1);
561 mul_add_c(a[1],b[3],c2,c3,c1);
562 mul_add_c(a[0],b[4],c2,c3,c1);
563 r[4]=c2;
564 c2=0;
565 mul_add_c(a[0],b[5],c3,c1,c2);
566 mul_add_c(a[1],b[4],c3,c1,c2);
567 mul_add_c(a[2],b[3],c3,c1,c2);
568 mul_add_c(a[3],b[2],c3,c1,c2);
569 mul_add_c(a[4],b[1],c3,c1,c2);
570 mul_add_c(a[5],b[0],c3,c1,c2);
571 r[5]=c3;
572 c3=0;
573 mul_add_c(a[6],b[0],c1,c2,c3);
574 mul_add_c(a[5],b[1],c1,c2,c3);
575 mul_add_c(a[4],b[2],c1,c2,c3);
576 mul_add_c(a[3],b[3],c1,c2,c3);
577 mul_add_c(a[2],b[4],c1,c2,c3);
578 mul_add_c(a[1],b[5],c1,c2,c3);
579 mul_add_c(a[0],b[6],c1,c2,c3);
580 r[6]=c1;
581 c1=0;
582 mul_add_c(a[0],b[7],c2,c3,c1);
583 mul_add_c(a[1],b[6],c2,c3,c1);
584 mul_add_c(a[2],b[5],c2,c3,c1);
585 mul_add_c(a[3],b[4],c2,c3,c1);
586 mul_add_c(a[4],b[3],c2,c3,c1);
587 mul_add_c(a[5],b[2],c2,c3,c1);
588 mul_add_c(a[6],b[1],c2,c3,c1);
589 mul_add_c(a[7],b[0],c2,c3,c1);
590 r[7]=c2;
591 c2=0;
592 mul_add_c(a[7],b[1],c3,c1,c2);
593 mul_add_c(a[6],b[2],c3,c1,c2);
594 mul_add_c(a[5],b[3],c3,c1,c2);
595 mul_add_c(a[4],b[4],c3,c1,c2);
596 mul_add_c(a[3],b[5],c3,c1,c2);
597 mul_add_c(a[2],b[6],c3,c1,c2);
598 mul_add_c(a[1],b[7],c3,c1,c2);
599 r[8]=c3;
600 c3=0;
601 mul_add_c(a[2],b[7],c1,c2,c3);
602 mul_add_c(a[3],b[6],c1,c2,c3);
603 mul_add_c(a[4],b[5],c1,c2,c3);
604 mul_add_c(a[5],b[4],c1,c2,c3);
605 mul_add_c(a[6],b[3],c1,c2,c3);
606 mul_add_c(a[7],b[2],c1,c2,c3);
607 r[9]=c1;
608 c1=0;
609 mul_add_c(a[7],b[3],c2,c3,c1);
610 mul_add_c(a[6],b[4],c2,c3,c1);
611 mul_add_c(a[5],b[5],c2,c3,c1);
612 mul_add_c(a[4],b[6],c2,c3,c1);
613 mul_add_c(a[3],b[7],c2,c3,c1);
614 r[10]=c2;
615 c2=0;
616 mul_add_c(a[4],b[7],c3,c1,c2);
617 mul_add_c(a[5],b[6],c3,c1,c2);
618 mul_add_c(a[6],b[5],c3,c1,c2);
619 mul_add_c(a[7],b[4],c3,c1,c2);
620 r[11]=c3;
621 c3=0;
622 mul_add_c(a[7],b[5],c1,c2,c3);
623 mul_add_c(a[6],b[6],c1,c2,c3);
624 mul_add_c(a[5],b[7],c1,c2,c3);
625 r[12]=c1;
626 c1=0;
627 mul_add_c(a[6],b[7],c2,c3,c1);
628 mul_add_c(a[7],b[6],c2,c3,c1);
629 r[13]=c2;
630 c2=0;
631 mul_add_c(a[7],b[7],c3,c1,c2);
632 r[14]=c3;
633 r[15]=c1;
634 }
635
636void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
637 {
638#ifdef BN_LLONG
639 BN_ULLONG t;
640#else
641 BN_ULONG bl,bh;
642#endif
643 BN_ULONG t1,t2;
644 BN_ULONG c1,c2,c3;
645
646 c1=0;
647 c2=0;
648 c3=0;
649 mul_add_c(a[0],b[0],c1,c2,c3);
650 r[0]=c1;
651 c1=0;
652 mul_add_c(a[0],b[1],c2,c3,c1);
653 mul_add_c(a[1],b[0],c2,c3,c1);
654 r[1]=c2;
655 c2=0;
656 mul_add_c(a[2],b[0],c3,c1,c2);
657 mul_add_c(a[1],b[1],c3,c1,c2);
658 mul_add_c(a[0],b[2],c3,c1,c2);
659 r[2]=c3;
660 c3=0;
661 mul_add_c(a[0],b[3],c1,c2,c3);
662 mul_add_c(a[1],b[2],c1,c2,c3);
663 mul_add_c(a[2],b[1],c1,c2,c3);
664 mul_add_c(a[3],b[0],c1,c2,c3);
665 r[3]=c1;
666 c1=0;
667 mul_add_c(a[3],b[1],c2,c3,c1);
668 mul_add_c(a[2],b[2],c2,c3,c1);
669 mul_add_c(a[1],b[3],c2,c3,c1);
670 r[4]=c2;
671 c2=0;
672 mul_add_c(a[2],b[3],c3,c1,c2);
673 mul_add_c(a[3],b[2],c3,c1,c2);
674 r[5]=c3;
675 c3=0;
676 mul_add_c(a[3],b[3],c1,c2,c3);
677 r[6]=c1;
678 r[7]=c2;
679 }
680
681void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
682 {
683#ifdef BN_LLONG
684 BN_ULLONG t,tt;
685#else
686 BN_ULONG bl,bh;
687#endif
688 BN_ULONG t1,t2;
689 BN_ULONG c1,c2,c3;
690
691 c1=0;
692 c2=0;
693 c3=0;
694 sqr_add_c(a,0,c1,c2,c3);
695 r[0]=c1;
696 c1=0;
697 sqr_add_c2(a,1,0,c2,c3,c1);
698 r[1]=c2;
699 c2=0;
700 sqr_add_c(a,1,c3,c1,c2);
701 sqr_add_c2(a,2,0,c3,c1,c2);
702 r[2]=c3;
703 c3=0;
704 sqr_add_c2(a,3,0,c1,c2,c3);
705 sqr_add_c2(a,2,1,c1,c2,c3);
706 r[3]=c1;
707 c1=0;
708 sqr_add_c(a,2,c2,c3,c1);
709 sqr_add_c2(a,3,1,c2,c3,c1);
710 sqr_add_c2(a,4,0,c2,c3,c1);
711 r[4]=c2;
712 c2=0;
713 sqr_add_c2(a,5,0,c3,c1,c2);
714 sqr_add_c2(a,4,1,c3,c1,c2);
715 sqr_add_c2(a,3,2,c3,c1,c2);
716 r[5]=c3;
717 c3=0;
718 sqr_add_c(a,3,c1,c2,c3);
719 sqr_add_c2(a,4,2,c1,c2,c3);
720 sqr_add_c2(a,5,1,c1,c2,c3);
721 sqr_add_c2(a,6,0,c1,c2,c3);
722 r[6]=c1;
723 c1=0;
724 sqr_add_c2(a,7,0,c2,c3,c1);
725 sqr_add_c2(a,6,1,c2,c3,c1);
726 sqr_add_c2(a,5,2,c2,c3,c1);
727 sqr_add_c2(a,4,3,c2,c3,c1);
728 r[7]=c2;
729 c2=0;
730 sqr_add_c(a,4,c3,c1,c2);
731 sqr_add_c2(a,5,3,c3,c1,c2);
732 sqr_add_c2(a,6,2,c3,c1,c2);
733 sqr_add_c2(a,7,1,c3,c1,c2);
734 r[8]=c3;
735 c3=0;
736 sqr_add_c2(a,7,2,c1,c2,c3);
737 sqr_add_c2(a,6,3,c1,c2,c3);
738 sqr_add_c2(a,5,4,c1,c2,c3);
739 r[9]=c1;
740 c1=0;
741 sqr_add_c(a,5,c2,c3,c1);
742 sqr_add_c2(a,6,4,c2,c3,c1);
743 sqr_add_c2(a,7,3,c2,c3,c1);
744 r[10]=c2;
745 c2=0;
746 sqr_add_c2(a,7,4,c3,c1,c2);
747 sqr_add_c2(a,6,5,c3,c1,c2);
748 r[11]=c3;
749 c3=0;
750 sqr_add_c(a,6,c1,c2,c3);
751 sqr_add_c2(a,7,5,c1,c2,c3);
752 r[12]=c1;
753 c1=0;
754 sqr_add_c2(a,7,6,c2,c3,c1);
755 r[13]=c2;
756 c2=0;
757 sqr_add_c(a,7,c3,c1,c2);
758 r[14]=c3;
759 r[15]=c1;
760 }
761
762void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
763 {
764#ifdef BN_LLONG
765 BN_ULLONG t,tt;
766#else
767 BN_ULONG bl,bh;
768#endif
769 BN_ULONG t1,t2;
770 BN_ULONG c1,c2,c3;
771
772 c1=0;
773 c2=0;
774 c3=0;
775 sqr_add_c(a,0,c1,c2,c3);
776 r[0]=c1;
777 c1=0;
778 sqr_add_c2(a,1,0,c2,c3,c1);
779 r[1]=c2;
780 c2=0;
781 sqr_add_c(a,1,c3,c1,c2);
782 sqr_add_c2(a,2,0,c3,c1,c2);
783 r[2]=c3;
784 c3=0;
785 sqr_add_c2(a,3,0,c1,c2,c3);
786 sqr_add_c2(a,2,1,c1,c2,c3);
787 r[3]=c1;
788 c1=0;
789 sqr_add_c(a,2,c2,c3,c1);
790 sqr_add_c2(a,3,1,c2,c3,c1);
791 r[4]=c2;
792 c2=0;
793 sqr_add_c2(a,3,2,c3,c1,c2);
794 r[5]=c3;
795 c3=0;
796 sqr_add_c(a,3,c1,c2,c3);
797 r[6]=c1;
798 r[7]=c2;
799 }
800#else /* !BN_MUL_COMBA */
801
802/* hmm... is it faster just to do a multiply? */
803#undef bn_sqr_comba4
804void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
805 {
806 BN_ULONG t[8];
807 bn_sqr_normal(r,a,4,t);
808 }
809
810#undef bn_sqr_comba8
811void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
812 {
813 BN_ULONG t[16];
814 bn_sqr_normal(r,a,8,t);
815 }
816
817void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
818 {
819 r[4]=bn_mul_words( &(r[0]),a,4,b[0]);
820 r[5]=bn_mul_add_words(&(r[1]),a,4,b[1]);
821 r[6]=bn_mul_add_words(&(r[2]),a,4,b[2]);
822 r[7]=bn_mul_add_words(&(r[3]),a,4,b[3]);
823 }
824
825void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
826 {
827 r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]);
828 r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]);
829 r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]);
830 r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]);
831 r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]);
832 r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]);
833 r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]);
834 r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]);
835 }
836
837#endif /* !BN_MUL_COMBA */