]>
git.ipfire.org Git - thirdparty/openssl.git/blob - crypto/bn/bn_asm.c
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.]
65 BN_ULONG
bn_mul_add_words(rp
,ap
,num
,w
)
73 if (num
<= 0) return(c1
);
77 mul_add(rp
[0],ap
[0],w
,c1
);
78 if (--num
== 0) break;
79 mul_add(rp
[1],ap
[1],w
,c1
);
80 if (--num
== 0) break;
81 mul_add(rp
[2],ap
[2],w
,c1
);
82 if (--num
== 0) break;
83 mul_add(rp
[3],ap
[3],w
,c1
);
84 if (--num
== 0) break;
92 BN_ULONG
bn_mul_words(rp
,ap
,num
,w
)
100 if (num
<= 0) return(c1
);
104 mul(rp
[0],ap
[0],w
,c1
);
105 if (--num
== 0) break;
106 mul(rp
[1],ap
[1],w
,c1
);
107 if (--num
== 0) break;
108 mul(rp
[2],ap
[2],w
,c1
);
109 if (--num
== 0) break;
110 mul(rp
[3],ap
[3],w
,c1
);
111 if (--num
== 0) break;
118 void bn_sqr_words(r
,a
,n
)
128 t
=(BN_ULLONG
)(a
[0])*(a
[0]);
129 r
[0]=Lw(t
); r
[1]=Hw(t
);
132 t
=(BN_ULLONG
)(a
[1])*(a
[1]);
133 r
[2]=Lw(t
); r
[3]=Hw(t
);
136 t
=(BN_ULLONG
)(a
[2])*(a
[2]);
137 r
[4]=Lw(t
); r
[5]=Hw(t
);
140 t
=(BN_ULLONG
)(a
[3])*(a
[3]);
141 r
[6]=Lw(t
); r
[7]=Hw(t
);
151 BN_ULONG
bn_mul_add_words(rp
,ap
,num
,w
)
160 if (num
<= 0) return((BN_ULONG
)0);
167 mul_add(rp
[0],ap
[0],bl
,bh
,c
);
168 if (--num
== 0) break;
169 mul_add(rp
[1],ap
[1],bl
,bh
,c
);
170 if (--num
== 0) break;
171 mul_add(rp
[2],ap
[2],bl
,bh
,c
);
172 if (--num
== 0) break;
173 mul_add(rp
[3],ap
[3],bl
,bh
,c
);
174 if (--num
== 0) break;
181 BN_ULONG
bn_mul_words(rp
,ap
,num
,w
)
190 if (num
<= 0) return((BN_ULONG
)0);
197 mul(rp
[0],ap
[0],bl
,bh
,carry
);
198 if (--num
== 0) break;
199 mul(rp
[1],ap
[1],bl
,bh
,carry
);
200 if (--num
== 0) break;
201 mul(rp
[2],ap
[2],bl
,bh
,carry
);
202 if (--num
== 0) break;
203 mul(rp
[3],ap
[3],bl
,bh
,carry
);
204 if (--num
== 0) break;
211 void bn_sqr_words(r
,a
,n
)
219 sqr64(r
[0],r
[1],a
[0]);
222 sqr64(r
[2],r
[3],a
[1]);
225 sqr64(r
[4],r
[5],a
[2]);
228 sqr64(r
[6],r
[7],a
[3]);
238 #if defined(BN_LLONG) && defined(BN_DIV2W)
240 BN_ULONG
bn_div_words(h
,l
,d
)
243 return((BN_ULONG
)(((((BN_ULLONG
)h
)<<BN_BITS2
)|l
)/(BN_ULLONG
)d
));
248 /* Divide h-l by d and return the result. */
249 /* I need to test this some more :-( */
250 BN_ULONG
bn_div_words(h
,l
,d
)
253 BN_ULONG dh
,dl
,q
,ret
=0,th
,tl
,t
;
256 if (d
== 0) return(BN_MASK2
);
258 i
=BN_num_bits_word(d
);
259 if ((i
!= BN_BITS2
) && (h
> (BN_ULONG
)1<<i
))
261 #if !defined(NO_STDIO) && !defined(WIN16)
262 fprintf(stderr
,"Division would overflow (%d)\n",i
);
272 h
=(h
<<i
)|(l
>>(BN_BITS2
-i
));
275 dh
=(d
&BN_MASK2h
)>>BN_BITS4
;
279 if ((h
>>BN_BITS4
) == dh
)
290 ((l
&BN_MASK2h
)>>BN_BITS4
))))
297 tl
=(tl
<<BN_BITS4
)&BN_MASK2h
;
309 if (--count
== 0) break;
312 h
=((h
<<BN_BITS4
)|(l
>>BN_BITS4
))&BN_MASK2
;
313 l
=(l
&BN_MASK2l
)<<BN_BITS4
;
321 BN_ULONG
bn_add_words(r
,a
,b
,n
)
328 if (n
<= 0) return((BN_ULONG
)0);
332 ll
+=(BN_ULLONG
)a
[0]+b
[0];
333 r
[0]=(BN_ULONG
)ll
&BN_MASK2
;
337 ll
+=(BN_ULLONG
)a
[1]+b
[1];
338 r
[1]=(BN_ULONG
)ll
&BN_MASK2
;
342 ll
+=(BN_ULLONG
)a
[2]+b
[2];
343 r
[2]=(BN_ULONG
)ll
&BN_MASK2
;
347 ll
+=(BN_ULLONG
)a
[3]+b
[3];
348 r
[3]=(BN_ULONG
)ll
&BN_MASK2
;
356 return((BN_ULONG
)ll
);
359 BN_ULONG
bn_add_words(r
,a
,b
,n
)
366 if (n
<= 0) return((BN_ULONG
)0);
411 BN_ULONG
bn_sub_words(r
,a
,b
,n
)
419 if (n
<= 0) return((BN_ULONG
)0);
424 r
[0]=(t1
-t2
-c
)&BN_MASK2
;
425 if (t1
!= t2
) c
=(t1
< t2
);
429 r
[1]=(t1
-t2
-c
)&BN_MASK2
;
430 if (t1
!= t2
) c
=(t1
< t2
);
434 r
[2]=(t1
-t2
-c
)&BN_MASK2
;
435 if (t1
!= t2
) c
=(t1
< t2
);
439 r
[3]=(t1
-t2
-c
)&BN_MASK2
;
440 if (t1
!= t2
) c
=(t1
< t2
);
458 #define mul_add_c(a,b,c0,c1,c2) \
460 t1=(BN_ULONG)Lw(t); \
461 t2=(BN_ULONG)Hw(t); \
462 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
463 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
465 #define mul_add_c2(a,b,c0,c1,c2) \
469 t1=(BN_ULONG)Lw(tt); \
470 t2=(BN_ULONG)Hw(tt); \
471 c0=(c0+t1)&BN_MASK2; \
472 if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
473 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
475 #define sqr_add_c(a,i,c0,c1,c2) \
476 t=(BN_ULLONG)a[i]*a[i]; \
477 t1=(BN_ULONG)Lw(t); \
478 t2=(BN_ULONG)Hw(t); \
479 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
480 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
482 #define sqr_add_c2(a,i,j,c0,c1,c2) \
483 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
485 #define mul_add_c(a,b,c0,c1,c2) \
486 t1=LBITS(a); t2=HBITS(a); \
487 bl=LBITS(b); bh=HBITS(b); \
488 mul64(t1,t2,bl,bh); \
489 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
490 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
492 #define mul_add_c2(a,b,c0,c1,c2) \
493 t1=LBITS(a); t2=HBITS(a); \
494 bl=LBITS(b); bh=HBITS(b); \
495 mul64(t1,t2,bl,bh); \
496 if (t2 & BN_TBIT) c2++; \
497 t2=(t2+t2)&BN_MASK2; \
498 if (t1 & BN_TBIT) t2++; \
499 t1=(t1+t1)&BN_MASK2; \
500 c0=(c0+t1)&BN_MASK2; \
501 if ((c0 < t1) && (((++t2)&BN_MASK2) == 0)) c2++; \
502 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
504 #define sqr_add_c(a,i,c0,c1,c2) \
505 sqr64(t1,t2,(a)[i]); \
506 c0=(c0+t1)&BN_MASK2; if ((c0) < t1) t2++; \
507 c1=(c1+t2)&BN_MASK2; if ((c1) < t2) c2++;
509 #define sqr_add_c2(a,i,j,c0,c1,c2) \
510 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
513 void bn_mul_comba8(r
,a
,b
)
527 mul_add_c(a
[0],b
[0],c1
,c2
,c3
);
530 mul_add_c(a
[0],b
[1],c2
,c3
,c1
);
531 mul_add_c(a
[1],b
[0],c2
,c3
,c1
);
534 mul_add_c(a
[2],b
[0],c3
,c1
,c2
);
535 mul_add_c(a
[1],b
[1],c3
,c1
,c2
);
536 mul_add_c(a
[0],b
[2],c3
,c1
,c2
);
539 mul_add_c(a
[0],b
[3],c1
,c2
,c3
);
540 mul_add_c(a
[1],b
[2],c1
,c2
,c3
);
541 mul_add_c(a
[2],b
[1],c1
,c2
,c3
);
542 mul_add_c(a
[3],b
[0],c1
,c2
,c3
);
545 mul_add_c(a
[4],b
[0],c2
,c3
,c1
);
546 mul_add_c(a
[3],b
[1],c2
,c3
,c1
);
547 mul_add_c(a
[2],b
[2],c2
,c3
,c1
);
548 mul_add_c(a
[1],b
[3],c2
,c3
,c1
);
549 mul_add_c(a
[0],b
[4],c2
,c3
,c1
);
552 mul_add_c(a
[0],b
[5],c3
,c1
,c2
);
553 mul_add_c(a
[1],b
[4],c3
,c1
,c2
);
554 mul_add_c(a
[2],b
[3],c3
,c1
,c2
);
555 mul_add_c(a
[3],b
[2],c3
,c1
,c2
);
556 mul_add_c(a
[4],b
[1],c3
,c1
,c2
);
557 mul_add_c(a
[5],b
[0],c3
,c1
,c2
);
560 mul_add_c(a
[6],b
[0],c1
,c2
,c3
);
561 mul_add_c(a
[5],b
[1],c1
,c2
,c3
);
562 mul_add_c(a
[4],b
[2],c1
,c2
,c3
);
563 mul_add_c(a
[3],b
[3],c1
,c2
,c3
);
564 mul_add_c(a
[2],b
[4],c1
,c2
,c3
);
565 mul_add_c(a
[1],b
[5],c1
,c2
,c3
);
566 mul_add_c(a
[0],b
[6],c1
,c2
,c3
);
569 mul_add_c(a
[0],b
[7],c2
,c3
,c1
);
570 mul_add_c(a
[1],b
[6],c2
,c3
,c1
);
571 mul_add_c(a
[2],b
[5],c2
,c3
,c1
);
572 mul_add_c(a
[3],b
[4],c2
,c3
,c1
);
573 mul_add_c(a
[4],b
[3],c2
,c3
,c1
);
574 mul_add_c(a
[5],b
[2],c2
,c3
,c1
);
575 mul_add_c(a
[6],b
[1],c2
,c3
,c1
);
576 mul_add_c(a
[7],b
[0],c2
,c3
,c1
);
579 mul_add_c(a
[7],b
[1],c3
,c1
,c2
);
580 mul_add_c(a
[6],b
[2],c3
,c1
,c2
);
581 mul_add_c(a
[5],b
[3],c3
,c1
,c2
);
582 mul_add_c(a
[4],b
[4],c3
,c1
,c2
);
583 mul_add_c(a
[3],b
[5],c3
,c1
,c2
);
584 mul_add_c(a
[2],b
[6],c3
,c1
,c2
);
585 mul_add_c(a
[1],b
[7],c3
,c1
,c2
);
588 mul_add_c(a
[2],b
[7],c1
,c2
,c3
);
589 mul_add_c(a
[3],b
[6],c1
,c2
,c3
);
590 mul_add_c(a
[4],b
[5],c1
,c2
,c3
);
591 mul_add_c(a
[5],b
[4],c1
,c2
,c3
);
592 mul_add_c(a
[6],b
[3],c1
,c2
,c3
);
593 mul_add_c(a
[7],b
[2],c1
,c2
,c3
);
596 mul_add_c(a
[7],b
[3],c2
,c3
,c1
);
597 mul_add_c(a
[6],b
[4],c2
,c3
,c1
);
598 mul_add_c(a
[5],b
[5],c2
,c3
,c1
);
599 mul_add_c(a
[4],b
[6],c2
,c3
,c1
);
600 mul_add_c(a
[3],b
[7],c2
,c3
,c1
);
603 mul_add_c(a
[4],b
[7],c3
,c1
,c2
);
604 mul_add_c(a
[5],b
[6],c3
,c1
,c2
);
605 mul_add_c(a
[6],b
[5],c3
,c1
,c2
);
606 mul_add_c(a
[7],b
[4],c3
,c1
,c2
);
609 mul_add_c(a
[7],b
[5],c1
,c2
,c3
);
610 mul_add_c(a
[6],b
[6],c1
,c2
,c3
);
611 mul_add_c(a
[5],b
[7],c1
,c2
,c3
);
614 mul_add_c(a
[6],b
[7],c2
,c3
,c1
);
615 mul_add_c(a
[7],b
[6],c2
,c3
,c1
);
618 mul_add_c(a
[7],b
[7],c3
,c1
,c2
);
623 void bn_mul_comba4(r
,a
,b
)
637 mul_add_c(a
[0],b
[0],c1
,c2
,c3
);
640 mul_add_c(a
[0],b
[1],c2
,c3
,c1
);
641 mul_add_c(a
[1],b
[0],c2
,c3
,c1
);
644 mul_add_c(a
[2],b
[0],c3
,c1
,c2
);
645 mul_add_c(a
[1],b
[1],c3
,c1
,c2
);
646 mul_add_c(a
[0],b
[2],c3
,c1
,c2
);
649 mul_add_c(a
[0],b
[3],c1
,c2
,c3
);
650 mul_add_c(a
[1],b
[2],c1
,c2
,c3
);
651 mul_add_c(a
[2],b
[1],c1
,c2
,c3
);
652 mul_add_c(a
[3],b
[0],c1
,c2
,c3
);
655 mul_add_c(a
[3],b
[1],c2
,c3
,c1
);
656 mul_add_c(a
[2],b
[2],c2
,c3
,c1
);
657 mul_add_c(a
[1],b
[3],c2
,c3
,c1
);
660 mul_add_c(a
[2],b
[3],c3
,c1
,c2
);
661 mul_add_c(a
[3],b
[2],c3
,c1
,c2
);
664 mul_add_c(a
[3],b
[3],c1
,c2
,c3
);
669 void bn_sqr_comba8(r
,a
)
683 sqr_add_c(a
,0,c1
,c2
,c3
);
686 sqr_add_c2(a
,1,0,c2
,c3
,c1
);
689 sqr_add_c(a
,1,c3
,c1
,c2
);
690 sqr_add_c2(a
,2,0,c3
,c1
,c2
);
693 sqr_add_c2(a
,3,0,c1
,c2
,c3
);
694 sqr_add_c2(a
,2,1,c1
,c2
,c3
);
697 sqr_add_c(a
,2,c2
,c3
,c1
);
698 sqr_add_c2(a
,3,1,c2
,c3
,c1
);
699 sqr_add_c2(a
,4,0,c2
,c3
,c1
);
702 sqr_add_c2(a
,5,0,c3
,c1
,c2
);
703 sqr_add_c2(a
,4,1,c3
,c1
,c2
);
704 sqr_add_c2(a
,3,2,c3
,c1
,c2
);
707 sqr_add_c(a
,3,c1
,c2
,c3
);
708 sqr_add_c2(a
,4,2,c1
,c2
,c3
);
709 sqr_add_c2(a
,5,1,c1
,c2
,c3
);
710 sqr_add_c2(a
,6,0,c1
,c2
,c3
);
713 sqr_add_c2(a
,7,0,c2
,c3
,c1
);
714 sqr_add_c2(a
,6,1,c2
,c3
,c1
);
715 sqr_add_c2(a
,5,2,c2
,c3
,c1
);
716 sqr_add_c2(a
,4,3,c2
,c3
,c1
);
719 sqr_add_c(a
,4,c3
,c1
,c2
);
720 sqr_add_c2(a
,5,3,c3
,c1
,c2
);
721 sqr_add_c2(a
,6,2,c3
,c1
,c2
);
722 sqr_add_c2(a
,7,1,c3
,c1
,c2
);
725 sqr_add_c2(a
,7,2,c1
,c2
,c3
);
726 sqr_add_c2(a
,6,3,c1
,c2
,c3
);
727 sqr_add_c2(a
,5,4,c1
,c2
,c3
);
730 sqr_add_c(a
,5,c2
,c3
,c1
);
731 sqr_add_c2(a
,6,4,c2
,c3
,c1
);
732 sqr_add_c2(a
,7,3,c2
,c3
,c1
);
735 sqr_add_c2(a
,7,4,c3
,c1
,c2
);
736 sqr_add_c2(a
,6,5,c3
,c1
,c2
);
739 sqr_add_c(a
,6,c1
,c2
,c3
);
740 sqr_add_c2(a
,7,5,c1
,c2
,c3
);
743 sqr_add_c2(a
,7,6,c2
,c3
,c1
);
746 sqr_add_c(a
,7,c3
,c1
,c2
);
751 void bn_sqr_comba4(r
,a
)
765 sqr_add_c(a
,0,c1
,c2
,c3
);
768 sqr_add_c2(a
,1,0,c2
,c3
,c1
);
771 sqr_add_c(a
,1,c3
,c1
,c2
);
772 sqr_add_c2(a
,2,0,c3
,c1
,c2
);
775 sqr_add_c2(a
,3,0,c1
,c2
,c3
);
776 sqr_add_c2(a
,2,1,c1
,c2
,c3
);
779 sqr_add_c(a
,2,c2
,c3
,c1
);
780 sqr_add_c2(a
,3,1,c2
,c3
,c1
);
783 sqr_add_c2(a
,3,2,c3
,c1
,c2
);
786 sqr_add_c(a
,3,c1
,c2
,c3
);
792 /* hmm... is it faster just to do a multiply? */
793 void bn_sqr_comba4(r
,a
)
797 bn_sqr_normal(r
,a
,4,t
);
800 void bn_sqr_comba8(r
,a
)
804 bn_sqr_normal(r
,a
,8,t
);
807 void bn_mul_comba4(r
,a
,b
)
810 r
[4]=bn_mul_words( &(r
[0]),a
,4,b
[0]);
811 r
[5]=bn_mul_add_words(&(r
[1]),a
,4,b
[1]);
812 r
[6]=bn_mul_add_words(&(r
[2]),a
,4,b
[2]);
813 r
[7]=bn_mul_add_words(&(r
[3]),a
,4,b
[3]);
816 void bn_mul_comba8(r
,a
,b
)
819 r
[ 8]=bn_mul_words( &(r
[0]),a
,8,b
[0]);
820 r
[ 9]=bn_mul_add_words(&(r
[1]),a
,8,b
[1]);
821 r
[10]=bn_mul_add_words(&(r
[2]),a
,8,b
[2]);
822 r
[11]=bn_mul_add_words(&(r
[3]),a
,8,b
[3]);
823 r
[12]=bn_mul_add_words(&(r
[4]),a
,8,b
[4]);
824 r
[13]=bn_mul_add_words(&(r
[5]),a
,8,b
[5]);
825 r
[14]=bn_mul_add_words(&(r
[6]),a
,8,b
[6]);
826 r
[15]=bn_mul_add_words(&(r
[7]),a
,8,b
[7]);
829 #endif /* BN_COMBA */