1 /* crypto/bn/bn_asm.c */
2 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
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.
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).
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.
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
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)"
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
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.]
60 # undef NDEBUG /* avoid conflicting definitions */
69 #if defined(BN_LLONG) || defined(BN_UMULT_HIGH)
71 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
76 if (num <= 0) return(c1);
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);
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;
96 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
101 if (num <= 0) return(c1);
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;
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);
120 void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
134 sqr(r[0],r[1],a[0]); if (--n == 0) return;
135 sqr(r[2],r[3],a[1]); if (--n == 0) return;
140 #else /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
142 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
148 if (num <= 0) return((BN_ULONG)0);
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;
169 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
175 if (num <= 0) return((BN_ULONG)0);
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;
196 void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
202 sqr64(r[0],r[1],a[0]);
205 sqr64(r[2],r[3],a[1]);
208 sqr64(r[4],r[5],a[2]);
211 sqr64(r[6],r[7],a[3]);
219 #endif /* !(defined(BN_LLONG) || defined(BN_UMULT_HIGH)) */
221 #if defined(BN_LLONG) && defined(BN_DIV2W)
223 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
225 return((BN_ULONG)(((((BN_ULLONG)h)<<BN_BITS2)|l)/(BN_ULLONG)d));
230 /* Divide h,l by d and return the result. */
231 /* I need to test this some more :-( */
232 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
234 BN_ULONG dh,dl,q,ret=0,th,tl,t;
237 if (d == 0) return(BN_MASK2);
239 i=BN_num_bits_word(d);
240 assert((i == BN_BITS2) || (h > (BN_ULONG)1<<i));
248 h=(h<<i)|(l>>(BN_BITS2-i));
251 dh=(d&BN_MASK2h)>>BN_BITS4;
255 if ((h>>BN_BITS4) == dh)
268 ((l&BN_MASK2h)>>BN_BITS4))))
275 tl=(tl<<BN_BITS4)&BN_MASK2h;
287 if (--count == 0) break;
290 h=((h<<BN_BITS4)|(l>>BN_BITS4))&BN_MASK2;
291 l=(l&BN_MASK2l)<<BN_BITS4;
296 #endif /* !defined(BN_LLONG) && defined(BN_DIV2W) */
299 BN_ULONG bn_add_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
304 if (n <= 0) return((BN_ULONG)0);
308 ll+=(BN_ULLONG)a[0]+b[0];
309 r[0]=(BN_ULONG)ll&BN_MASK2;
313 ll+=(BN_ULLONG)a[1]+b[1];
314 r[1]=(BN_ULONG)ll&BN_MASK2;
318 ll+=(BN_ULLONG)a[2]+b[2];
319 r[2]=(BN_ULONG)ll&BN_MASK2;
323 ll+=(BN_ULLONG)a[3]+b[3];
324 r[3]=(BN_ULONG)ll&BN_MASK2;
332 return((BN_ULONG)ll);
334 #else /* !BN_LLONG */
335 BN_ULONG bn_add_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
340 if (n <= 0) return((BN_ULONG)0);
383 #endif /* !BN_LLONG */
385 BN_ULONG bn_sub_words(BN_ULONG *r, const BN_ULONG *a, const BN_ULONG *b, int n)
391 if (n <= 0) return((BN_ULONG)0);
396 r[0]=(t1-t2-c)&BN_MASK2;
397 if (t1 != t2) c=(t1 < t2);
401 r[1]=(t1-t2-c)&BN_MASK2;
402 if (t1 != t2) c=(t1 < t2);
406 r[2]=(t1-t2-c)&BN_MASK2;
407 if (t1 != t2) c=(t1 < t2);
411 r[3]=(t1-t2-c)&BN_MASK2;
412 if (t1 != t2) c=(t1 < t2);
429 /* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
430 /* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
431 /* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
432 /* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
435 #define mul_add_c(a,b,c0,c1,c2) \
437 t1=(BN_ULONG)Lw(t); \
438 t2=(BN_ULONG)Hw(t); \
439 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
440 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
442 #define mul_add_c2(a,b,c0,c1,c2) \
446 t1=(BN_ULONG)Lw(tt); \
447 t2=(BN_ULONG)Hw(tt); \
448 c0=(c0+t1)&BN_MASK2; \
449 if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
450 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
452 #define sqr_add_c(a,i,c0,c1,c2) \
453 t=(BN_ULLONG)a[i]*a[i]; \
454 t1=(BN_ULONG)Lw(t); \
455 t2=(BN_ULONG)Hw(t); \
456 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
457 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
459 #define sqr_add_c2(a,i,j,c0,c1,c2) \
460 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
462 #elif defined(BN_UMULT_HIGH)
464 #define mul_add_c(a,b,c0,c1,c2) { \
465 BN_ULONG ta=(a),tb=(b); \
467 t2 = BN_UMULT_HIGH(ta,tb); \
468 c0 += t1; t2 += (c0<t1)?1:0; \
469 c1 += t2; c2 += (c1<t2)?1:0; \
472 #define mul_add_c2(a,b,c0,c1,c2) { \
473 BN_ULONG ta=(a),tb=(b),t0; \
474 t1 = BN_UMULT_HIGH(ta,tb); \
476 t2 = t1+t1; c2 += (t2<t1)?1:0; \
477 t1 = t0+t0; t2 += (t1<t0)?1:0; \
478 c0 += t1; t2 += (c0<t1)?1:0; \
479 c1 += t2; c2 += (c1<t2)?1:0; \
482 #define sqr_add_c(a,i,c0,c1,c2) { \
483 BN_ULONG ta=(a)[i]; \
485 t2 = BN_UMULT_HIGH(ta,ta); \
486 c0 += t1; t2 += (c0<t1)?1:0; \
487 c1 += t2; c2 += (c1<t2)?1:0; \
490 #define sqr_add_c2(a,i,j,c0,c1,c2) \
491 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
493 #else /* !BN_LLONG */
494 #define mul_add_c(a,b,c0,c1,c2) \
495 t1=LBITS(a); t2=HBITS(a); \
496 bl=LBITS(b); bh=HBITS(b); \
497 mul64(t1,t2,bl,bh); \
498 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
499 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
501 #define mul_add_c2(a,b,c0,c1,c2) \
502 t1=LBITS(a); t2=HBITS(a); \
503 bl=LBITS(b); bh=HBITS(b); \
504 mul64(t1,t2,bl,bh); \
505 if (t2 & BN_TBIT) c2++; \
506 t2=(t2+t2)&BN_MASK2; \
507 if (t1 & BN_TBIT) t2++; \
508 t1=(t1+t1)&BN_MASK2; \
509 c0=(c0+t1)&BN_MASK2; \
510 if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
511 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
513 #define sqr_add_c(a,i,c0,c1,c2) \
514 sqr64(t1,t2,(a)[i]); \
515 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
516 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
518 #define sqr_add_c2(a,i,j,c0,c1,c2) \
519 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
520 #endif /* !BN_LLONG */
522 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
535 mul_add_c(a[0],b[0],c1,c2,c3);
538 mul_add_c(a[0],b[1],c2,c3,c1);
539 mul_add_c(a[1],b[0],c2,c3,c1);
542 mul_add_c(a[2],b[0],c3,c1,c2);
543 mul_add_c(a[1],b[1],c3,c1,c2);
544 mul_add_c(a[0],b[2],c3,c1,c2);
547 mul_add_c(a[0],b[3],c1,c2,c3);
548 mul_add_c(a[1],b[2],c1,c2,c3);
549 mul_add_c(a[2],b[1],c1,c2,c3);
550 mul_add_c(a[3],b[0],c1,c2,c3);
553 mul_add_c(a[4],b[0],c2,c3,c1);
554 mul_add_c(a[3],b[1],c2,c3,c1);
555 mul_add_c(a[2],b[2],c2,c3,c1);
556 mul_add_c(a[1],b[3],c2,c3,c1);
557 mul_add_c(a[0],b[4],c2,c3,c1);
560 mul_add_c(a[0],b[5],c3,c1,c2);
561 mul_add_c(a[1],b[4],c3,c1,c2);
562 mul_add_c(a[2],b[3],c3,c1,c2);
563 mul_add_c(a[3],b[2],c3,c1,c2);
564 mul_add_c(a[4],b[1],c3,c1,c2);
565 mul_add_c(a[5],b[0],c3,c1,c2);
568 mul_add_c(a[6],b[0],c1,c2,c3);
569 mul_add_c(a[5],b[1],c1,c2,c3);
570 mul_add_c(a[4],b[2],c1,c2,c3);
571 mul_add_c(a[3],b[3],c1,c2,c3);
572 mul_add_c(a[2],b[4],c1,c2,c3);
573 mul_add_c(a[1],b[5],c1,c2,c3);
574 mul_add_c(a[0],b[6],c1,c2,c3);
577 mul_add_c(a[0],b[7],c2,c3,c1);
578 mul_add_c(a[1],b[6],c2,c3,c1);
579 mul_add_c(a[2],b[5],c2,c3,c1);
580 mul_add_c(a[3],b[4],c2,c3,c1);
581 mul_add_c(a[4],b[3],c2,c3,c1);
582 mul_add_c(a[5],b[2],c2,c3,c1);
583 mul_add_c(a[6],b[1],c2,c3,c1);
584 mul_add_c(a[7],b[0],c2,c3,c1);
587 mul_add_c(a[7],b[1],c3,c1,c2);
588 mul_add_c(a[6],b[2],c3,c1,c2);
589 mul_add_c(a[5],b[3],c3,c1,c2);
590 mul_add_c(a[4],b[4],c3,c1,c2);
591 mul_add_c(a[3],b[5],c3,c1,c2);
592 mul_add_c(a[2],b[6],c3,c1,c2);
593 mul_add_c(a[1],b[7],c3,c1,c2);
596 mul_add_c(a[2],b[7],c1,c2,c3);
597 mul_add_c(a[3],b[6],c1,c2,c3);
598 mul_add_c(a[4],b[5],c1,c2,c3);
599 mul_add_c(a[5],b[4],c1,c2,c3);
600 mul_add_c(a[6],b[3],c1,c2,c3);
601 mul_add_c(a[7],b[2],c1,c2,c3);
604 mul_add_c(a[7],b[3],c2,c3,c1);
605 mul_add_c(a[6],b[4],c2,c3,c1);
606 mul_add_c(a[5],b[5],c2,c3,c1);
607 mul_add_c(a[4],b[6],c2,c3,c1);
608 mul_add_c(a[3],b[7],c2,c3,c1);
611 mul_add_c(a[4],b[7],c3,c1,c2);
612 mul_add_c(a[5],b[6],c3,c1,c2);
613 mul_add_c(a[6],b[5],c3,c1,c2);
614 mul_add_c(a[7],b[4],c3,c1,c2);
617 mul_add_c(a[7],b[5],c1,c2,c3);
618 mul_add_c(a[6],b[6],c1,c2,c3);
619 mul_add_c(a[5],b[7],c1,c2,c3);
622 mul_add_c(a[6],b[7],c2,c3,c1);
623 mul_add_c(a[7],b[6],c2,c3,c1);
626 mul_add_c(a[7],b[7],c3,c1,c2);
631 void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
644 mul_add_c(a[0],b[0],c1,c2,c3);
647 mul_add_c(a[0],b[1],c2,c3,c1);
648 mul_add_c(a[1],b[0],c2,c3,c1);
651 mul_add_c(a[2],b[0],c3,c1,c2);
652 mul_add_c(a[1],b[1],c3,c1,c2);
653 mul_add_c(a[0],b[2],c3,c1,c2);
656 mul_add_c(a[0],b[3],c1,c2,c3);
657 mul_add_c(a[1],b[2],c1,c2,c3);
658 mul_add_c(a[2],b[1],c1,c2,c3);
659 mul_add_c(a[3],b[0],c1,c2,c3);
662 mul_add_c(a[3],b[1],c2,c3,c1);
663 mul_add_c(a[2],b[2],c2,c3,c1);
664 mul_add_c(a[1],b[3],c2,c3,c1);
667 mul_add_c(a[2],b[3],c3,c1,c2);
668 mul_add_c(a[3],b[2],c3,c1,c2);
671 mul_add_c(a[3],b[3],c1,c2,c3);
676 void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
689 sqr_add_c(a,0,c1,c2,c3);
692 sqr_add_c2(a,1,0,c2,c3,c1);
695 sqr_add_c(a,1,c3,c1,c2);
696 sqr_add_c2(a,2,0,c3,c1,c2);
699 sqr_add_c2(a,3,0,c1,c2,c3);
700 sqr_add_c2(a,2,1,c1,c2,c3);
703 sqr_add_c(a,2,c2,c3,c1);
704 sqr_add_c2(a,3,1,c2,c3,c1);
705 sqr_add_c2(a,4,0,c2,c3,c1);
708 sqr_add_c2(a,5,0,c3,c1,c2);
709 sqr_add_c2(a,4,1,c3,c1,c2);
710 sqr_add_c2(a,3,2,c3,c1,c2);
713 sqr_add_c(a,3,c1,c2,c3);
714 sqr_add_c2(a,4,2,c1,c2,c3);
715 sqr_add_c2(a,5,1,c1,c2,c3);
716 sqr_add_c2(a,6,0,c1,c2,c3);
719 sqr_add_c2(a,7,0,c2,c3,c1);
720 sqr_add_c2(a,6,1,c2,c3,c1);
721 sqr_add_c2(a,5,2,c2,c3,c1);
722 sqr_add_c2(a,4,3,c2,c3,c1);
725 sqr_add_c(a,4,c3,c1,c2);
726 sqr_add_c2(a,5,3,c3,c1,c2);
727 sqr_add_c2(a,6,2,c3,c1,c2);
728 sqr_add_c2(a,7,1,c3,c1,c2);
731 sqr_add_c2(a,7,2,c1,c2,c3);
732 sqr_add_c2(a,6,3,c1,c2,c3);
733 sqr_add_c2(a,5,4,c1,c2,c3);
736 sqr_add_c(a,5,c2,c3,c1);
737 sqr_add_c2(a,6,4,c2,c3,c1);
738 sqr_add_c2(a,7,3,c2,c3,c1);
741 sqr_add_c2(a,7,4,c3,c1,c2);
742 sqr_add_c2(a,6,5,c3,c1,c2);
745 sqr_add_c(a,6,c1,c2,c3);
746 sqr_add_c2(a,7,5,c1,c2,c3);
749 sqr_add_c2(a,7,6,c2,c3,c1);
752 sqr_add_c(a,7,c3,c1,c2);
757 void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
770 sqr_add_c(a,0,c1,c2,c3);
773 sqr_add_c2(a,1,0,c2,c3,c1);
776 sqr_add_c(a,1,c3,c1,c2);
777 sqr_add_c2(a,2,0,c3,c1,c2);
780 sqr_add_c2(a,3,0,c1,c2,c3);
781 sqr_add_c2(a,2,1,c1,c2,c3);
784 sqr_add_c(a,2,c2,c3,c1);
785 sqr_add_c2(a,3,1,c2,c3,c1);
788 sqr_add_c2(a,3,2,c3,c1,c2);
791 sqr_add_c(a,3,c1,c2,c3);
795 #else /* !BN_MUL_COMBA */
797 /* hmm... is it faster just to do a multiply? */
799 void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
802 bn_sqr_normal(r,a,4,t);
806 void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
809 bn_sqr_normal(r,a,8,t);
812 void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
814 r[4]=bn_mul_words( &(r[0]),a,4,b[0]);
815 r[5]=bn_mul_add_words(&(r[1]),a,4,b[1]);
816 r[6]=bn_mul_add_words(&(r[2]),a,4,b[2]);
817 r[7]=bn_mul_add_words(&(r[3]),a,4,b[3]);
820 void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
822 r[ 8]=bn_mul_words( &(r[0]),a,8,b[0]);
823 r[ 9]=bn_mul_add_words(&(r[1]),a,8,b[1]);
824 r[10]=bn_mul_add_words(&(r[2]),a,8,b[2]);
825 r[11]=bn_mul_add_words(&(r[3]),a,8,b[3]);
826 r[12]=bn_mul_add_words(&(r[4]),a,8,b[4]);
827 r[13]=bn_mul_add_words(&(r[5]),a,8,b[5]);
828 r[14]=bn_mul_add_words(&(r[6]),a,8,b[6]);
829 r[15]=bn_mul_add_words(&(r[7]),a,8,b[7]);
832 #endif /* !BN_MUL_COMBA */