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1/* crypto/bn/bn_lib.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 <assert.h>
65#include <limits.h>
66#include <stdio.h>
67#include "cryptlib.h"
68#include "bn_lcl.h"
69
70const char *BN_version="Big Number" OPENSSL_VERSION_PTEXT;
71
72/* For a 32 bit machine
73 * 2 - 4 == 128
74 * 3 - 8 == 256
75 * 4 - 16 == 512
76 * 5 - 32 == 1024
77 * 6 - 64 == 2048
78 * 7 - 128 == 4096
79 * 8 - 256 == 8192
80 */
81static int bn_limit_bits=0;
82static int bn_limit_num=8; /* (1<<bn_limit_bits) */
83static int bn_limit_bits_low=0;
84static int bn_limit_num_low=8; /* (1<<bn_limit_bits_low) */
85static int bn_limit_bits_high=0;
86static int bn_limit_num_high=8; /* (1<<bn_limit_bits_high) */
87static int bn_limit_bits_mont=0;
88static int bn_limit_num_mont=8; /* (1<<bn_limit_bits_mont) */
89
90void BN_set_params(int mult, int high, int low, int mont)
91 {
92 if (mult >= 0)
93 {
94 if (mult > (sizeof(int)*8)-1)
95 mult=sizeof(int)*8-1;
96 bn_limit_bits=mult;
97 bn_limit_num=1<<mult;
98 }
99 if (high >= 0)
100 {
101 if (high > (sizeof(int)*8)-1)
102 high=sizeof(int)*8-1;
103 bn_limit_bits_high=high;
104 bn_limit_num_high=1<<high;
105 }
106 if (low >= 0)
107 {
108 if (low > (sizeof(int)*8)-1)
109 low=sizeof(int)*8-1;
110 bn_limit_bits_low=low;
111 bn_limit_num_low=1<<low;
112 }
113 if (mont >= 0)
114 {
115 if (mont > (sizeof(int)*8)-1)
116 mont=sizeof(int)*8-1;
117 bn_limit_bits_mont=mont;
118 bn_limit_num_mont=1<<mont;
119 }
120 }
121
122int BN_get_params(int which)
123 {
124 if (which == 0) return(bn_limit_bits);
125 else if (which == 1) return(bn_limit_bits_high);
126 else if (which == 2) return(bn_limit_bits_low);
127 else if (which == 3) return(bn_limit_bits_mont);
128 else return(0);
129 }
130
131const BIGNUM *BN_value_one(void)
132 {
133 static BN_ULONG data_one=1L;
134 static BIGNUM const_one={&data_one,1,1,0};
135
136 return(&const_one);
137 }
138
139char *BN_options(void)
140 {
141 static int init=0;
142 static char data[16];
143
144 if (!init)
145 {
146 init++;
147#ifdef BN_LLONG
148 sprintf(data,"bn(%d,%d)",(int)sizeof(BN_ULLONG)*8,
149 (int)sizeof(BN_ULONG)*8);
150#else
151 sprintf(data,"bn(%d,%d)",(int)sizeof(BN_ULONG)*8,
152 (int)sizeof(BN_ULONG)*8);
153#endif
154 }
155 return(data);
156 }
157
158int BN_num_bits_word(BN_ULONG l)
159 {
160 static const char bits[256]={
161 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,
162 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,
163 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
164 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
165 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
166 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
167 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
168 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
169 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
170 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
171 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
172 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
173 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
174 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
175 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
176 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
177 };
178
179#if defined(SIXTY_FOUR_BIT_LONG)
180 if (l & 0xffffffff00000000L)
181 {
182 if (l & 0xffff000000000000L)
183 {
184 if (l & 0xff00000000000000L)
185 {
186 return(bits[(int)(l>>56)]+56);
187 }
188 else return(bits[(int)(l>>48)]+48);
189 }
190 else
191 {
192 if (l & 0x0000ff0000000000L)
193 {
194 return(bits[(int)(l>>40)]+40);
195 }
196 else return(bits[(int)(l>>32)]+32);
197 }
198 }
199 else
200#else
201#ifdef SIXTY_FOUR_BIT
202 if (l & 0xffffffff00000000LL)
203 {
204 if (l & 0xffff000000000000LL)
205 {
206 if (l & 0xff00000000000000LL)
207 {
208 return(bits[(int)(l>>56)]+56);
209 }
210 else return(bits[(int)(l>>48)]+48);
211 }
212 else
213 {
214 if (l & 0x0000ff0000000000LL)
215 {
216 return(bits[(int)(l>>40)]+40);
217 }
218 else return(bits[(int)(l>>32)]+32);
219 }
220 }
221 else
222#endif
223#endif
224 {
225#if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
226 if (l & 0xffff0000L)
227 {
228 if (l & 0xff000000L)
229 return(bits[(int)(l>>24L)]+24);
230 else return(bits[(int)(l>>16L)]+16);
231 }
232 else
233#endif
234 {
235#if defined(SIXTEEN_BIT) || defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG)
236 if (l & 0xff00L)
237 return(bits[(int)(l>>8)]+8);
238 else
239#endif
240 return(bits[(int)(l )] );
241 }
242 }
243 }
244
245int BN_num_bits(const BIGNUM *a)
246 {
247 BN_ULONG l;
248 int i;
249
250 bn_check_top(a);
251
252 if (a->top == 0) return(0);
253 l=a->d[a->top-1];
254 assert(l != 0);
255 i=(a->top-1)*BN_BITS2;
256 return(i+BN_num_bits_word(l));
257 }
258
259void BN_clear_free(BIGNUM *a)
260 {
261 int i;
262
263 if (a == NULL) return;
264 if (a->d != NULL)
265 {
266 memset(a->d,0,a->dmax*sizeof(a->d[0]));
267 if (!(BN_get_flags(a,BN_FLG_STATIC_DATA)))
268 OPENSSL_free(a->d);
269 }
270 i=BN_get_flags(a,BN_FLG_MALLOCED);
271 memset(a,0,sizeof(BIGNUM));
272 if (i)
273 OPENSSL_free(a);
274 }
275
276void BN_free(BIGNUM *a)
277 {
278 if (a == NULL) return;
279 if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA)))
280 OPENSSL_free(a->d);
281 a->flags|=BN_FLG_FREE; /* REMOVE? */
282 if (a->flags & BN_FLG_MALLOCED)
283 OPENSSL_free(a);
284 }
285
286void BN_init(BIGNUM *a)
287 {
288 memset(a,0,sizeof(BIGNUM));
289 }
290
291BIGNUM *BN_new(void)
292 {
293 BIGNUM *ret;
294
295 if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL)
296 {
297 BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE);
298 return(NULL);
299 }
300 ret->flags=BN_FLG_MALLOCED;
301 ret->top=0;
302 ret->neg=0;
303 ret->dmax=0;
304 ret->d=NULL;
305 return(ret);
306 }
307
308/* This is used both by bn_expand2() and bn_dup_expand() */
309/* The caller MUST check that words > b->dmax before calling this */
310static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
311 {
312 BN_ULONG *A,*a = NULL;
313 const BN_ULONG *B;
314 int i;
315
316 if (words > (INT_MAX/(4*BN_BITS2)))
317 {
318 BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG);
319 return NULL;
320 }
321
322 bn_check_top(b);
323 if (BN_get_flags(b,BN_FLG_STATIC_DATA))
324 {
325 BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
326 return(NULL);
327 }
328 a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*(words+1));
329 if (A == NULL)
330 {
331 BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE);
332 return(NULL);
333 }
334#if 1
335 B=b->d;
336 /* Check if the previous number needs to be copied */
337 if (B != NULL)
338 {
339 for (i=b->top>>2; i>0; i--,A+=4,B+=4)
340 {
341 /*
342 * The fact that the loop is unrolled
343 * 4-wise is a tribute to Intel. It's
344 * the one that doesn't have enough
345 * registers to accomodate more data.
346 * I'd unroll it 8-wise otherwise:-)
347 *
348 * <appro@fy.chalmers.se>
349 */
350 BN_ULONG a0,a1,a2,a3;
351 a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
352 A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
353 }
354 switch (b->top&3)
355 {
356 case 3: A[2]=B[2];
357 case 2: A[1]=B[1];
358 case 1: A[0]=B[0];
359 case 0: /* workaround for ultrix cc: without 'case 0', the optimizer does
360 * the switch table by doing a=top&3; a--; goto jump_table[a];
361 * which fails for top== 0 */
362 ;
363 }
364 }
365
366 /* Now need to zero any data between b->top and b->max */
367 /* XXX Why? */
368
369 A= &(a[b->top]);
370 for (i=(words - b->top)>>3; i>0; i--,A+=8)
371 {
372 A[0]=0; A[1]=0; A[2]=0; A[3]=0;
373 A[4]=0; A[5]=0; A[6]=0; A[7]=0;
374 }
375 for (i=(words - b->top)&7; i>0; i--,A++)
376 A[0]=0;
377#else
378 memset(A,0,sizeof(BN_ULONG)*(words+1));
379 memcpy(A,b->d,sizeof(b->d[0])*b->top);
380#endif
381
382 return(a);
383 }
384
385/* This is an internal function that can be used instead of bn_expand2()
386 * when there is a need to copy BIGNUMs instead of only expanding the
387 * data part, while still expanding them.
388 * Especially useful when needing to expand BIGNUMs that are declared
389 * 'const' and should therefore not be changed.
390 * The reason to use this instead of a BN_dup() followed by a bn_expand2()
391 * is memory allocation overhead. A BN_dup() followed by a bn_expand2()
392 * will allocate new memory for the BIGNUM data twice, and free it once,
393 * while bn_dup_expand() makes sure allocation is made only once.
394 */
395
396BIGNUM *bn_dup_expand(const BIGNUM *b, int words)
397 {
398 BIGNUM *r = NULL;
399
400 if (words > b->dmax)
401 {
402 BN_ULONG *a = bn_expand_internal(b, words);
403
404 if (a)
405 {
406 r = BN_new();
407 if (r)
408 {
409 r->top = b->top;
410 r->dmax = words;
411 r->neg = b->neg;
412 r->d = a;
413 }
414 else
415 {
416 /* r == NULL, BN_new failure */
417 OPENSSL_free(a);
418 }
419 }
420 /* If a == NULL, there was an error in allocation in
421 bn_expand_internal(), and NULL should be returned */
422 }
423 else
424 {
425 r = BN_dup(b);
426 }
427
428 return r;
429 }
430
431/* This is an internal function that should not be used in applications.
432 * It ensures that 'b' has enough room for a 'words' word number number.
433 * It is mostly used by the various BIGNUM routines. If there is an error,
434 * NULL is returned. If not, 'b' is returned. */
435
436BIGNUM *bn_expand2(BIGNUM *b, int words)
437 {
438 if (words > b->dmax)
439 {
440 BN_ULONG *a = bn_expand_internal(b, words);
441
442 if (a)
443 {
444 if (b->d)
445 OPENSSL_free(b->d);
446 b->d=a;
447 b->dmax=words;
448 }
449 else
450 b = NULL;
451 }
452 return b;
453 }
454
455BIGNUM *BN_dup(const BIGNUM *a)
456 {
457 BIGNUM *r, *t;
458
459 if (a == NULL) return NULL;
460
461 bn_check_top(a);
462
463 t = BN_new();
464 if (t == NULL) return(NULL);
465 r = BN_copy(t, a);
466 /* now r == t || r == NULL */
467 if (r == NULL)
468 BN_free(t);
469 return r;
470 }
471
472BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
473 {
474 int i;
475 BN_ULONG *A;
476 const BN_ULONG *B;
477
478 bn_check_top(b);
479
480 if (a == b) return(a);
481 if (bn_wexpand(a,b->top) == NULL) return(NULL);
482
483#if 1
484 A=a->d;
485 B=b->d;
486 for (i=b->top>>2; i>0; i--,A+=4,B+=4)
487 {
488 BN_ULONG a0,a1,a2,a3;
489 a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
490 A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
491 }
492 switch (b->top&3)
493 {
494 case 3: A[2]=B[2];
495 case 2: A[1]=B[1];
496 case 1: A[0]=B[0];
497 case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */
498 }
499#else
500 memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
501#endif
502
503/* memset(&(a->d[b->top]),0,sizeof(a->d[0])*(a->max-b->top));*/
504 a->top=b->top;
505 if ((a->top == 0) && (a->d != NULL))
506 a->d[0]=0;
507 a->neg=b->neg;
508 return(a);
509 }
510
511void BN_swap(BIGNUM *a, BIGNUM *b)
512 {
513 int flags_old_a, flags_old_b;
514 BN_ULONG *tmp_d;
515 int tmp_top, tmp_dmax, tmp_neg;
516
517 flags_old_a = a->flags;
518 flags_old_b = b->flags;
519
520 tmp_d = a->d;
521 tmp_top = a->top;
522 tmp_dmax = a->dmax;
523 tmp_neg = a->neg;
524
525 a->d = b->d;
526 a->top = b->top;
527 a->dmax = b->dmax;
528 a->neg = b->neg;
529
530 b->d = tmp_d;
531 b->top = tmp_top;
532 b->dmax = tmp_dmax;
533 b->neg = tmp_neg;
534
535 a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA);
536 b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA);
537 }
538
539
540void BN_clear(BIGNUM *a)
541 {
542 if (a->d != NULL)
543 memset(a->d,0,a->dmax*sizeof(a->d[0]));
544 a->top=0;
545 a->neg=0;
546 }
547
548BN_ULONG BN_get_word(const BIGNUM *a)
549 {
550 int i,n;
551 BN_ULONG ret=0;
552
553 n=BN_num_bytes(a);
554 if (n > sizeof(BN_ULONG))
555 return(BN_MASK2);
556 for (i=a->top-1; i>=0; i--)
557 {
558#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
559 ret<<=BN_BITS4; /* stops the compiler complaining */
560 ret<<=BN_BITS4;
561#else
562 ret=0;
563#endif
564 ret|=a->d[i];
565 }
566 return(ret);
567 }
568
569int BN_set_word(BIGNUM *a, BN_ULONG w)
570 {
571 int i,n;
572 if (bn_expand(a,sizeof(BN_ULONG)*8) == NULL) return(0);
573
574 n=sizeof(BN_ULONG)/BN_BYTES;
575 a->neg=0;
576 a->top=0;
577 a->d[0]=(BN_ULONG)w&BN_MASK2;
578 if (a->d[0] != 0) a->top=1;
579 for (i=1; i<n; i++)
580 {
581 /* the following is done instead of
582 * w>>=BN_BITS2 so compilers don't complain
583 * on builds where sizeof(long) == BN_TYPES */
584#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
585 w>>=BN_BITS4;
586 w>>=BN_BITS4;
587#else
588 w=0;
589#endif
590 a->d[i]=(BN_ULONG)w&BN_MASK2;
591 if (a->d[i] != 0) a->top=i+1;
592 }
593 return(1);
594 }
595
596BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
597 {
598 unsigned int i,m;
599 unsigned int n;
600 BN_ULONG l;
601
602 if (ret == NULL) ret=BN_new();
603 if (ret == NULL) return(NULL);
604 l=0;
605 n=len;
606 if (n == 0)
607 {
608 ret->top=0;
609 return(ret);
610 }
611 if (bn_expand(ret,(int)(n+2)*8) == NULL)
612 return(NULL);
613 i=((n-1)/BN_BYTES)+1;
614 m=((n-1)%(BN_BYTES));
615 ret->top=i;
616 ret->neg=0;
617 while (n-- > 0)
618 {
619 l=(l<<8L)| *(s++);
620 if (m-- == 0)
621 {
622 ret->d[--i]=l;
623 l=0;
624 m=BN_BYTES-1;
625 }
626 }
627 /* need to call this due to clear byte at top if avoiding
628 * having the top bit set (-ve number) */
629 bn_fix_top(ret);
630 return(ret);
631 }
632
633/* ignore negative */
634int BN_bn2bin(const BIGNUM *a, unsigned char *to)
635 {
636 int n,i;
637 BN_ULONG l;
638
639 n=i=BN_num_bytes(a);
640 while (i-- > 0)
641 {
642 l=a->d[i/BN_BYTES];
643 *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
644 }
645 return(n);
646 }
647
648int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
649 {
650 int i;
651 BN_ULONG t1,t2,*ap,*bp;
652
653 bn_check_top(a);
654 bn_check_top(b);
655
656 i=a->top-b->top;
657 if (i != 0) return(i);
658 ap=a->d;
659 bp=b->d;
660 for (i=a->top-1; i>=0; i--)
661 {
662 t1= ap[i];
663 t2= bp[i];
664 if (t1 != t2)
665 return(t1 > t2?1:-1);
666 }
667 return(0);
668 }
669
670int BN_cmp(const BIGNUM *a, const BIGNUM *b)
671 {
672 int i;
673 int gt,lt;
674 BN_ULONG t1,t2;
675
676 if ((a == NULL) || (b == NULL))
677 {
678 if (a != NULL)
679 return(-1);
680 else if (b != NULL)
681 return(1);
682 else
683 return(0);
684 }
685
686 bn_check_top(a);
687 bn_check_top(b);
688
689 if (a->neg != b->neg)
690 {
691 if (a->neg)
692 return(-1);
693 else return(1);
694 }
695 if (a->neg == 0)
696 { gt=1; lt= -1; }
697 else { gt= -1; lt=1; }
698
699 if (a->top > b->top) return(gt);
700 if (a->top < b->top) return(lt);
701 for (i=a->top-1; i>=0; i--)
702 {
703 t1=a->d[i];
704 t2=b->d[i];
705 if (t1 > t2) return(gt);
706 if (t1 < t2) return(lt);
707 }
708 return(0);
709 }
710
711int BN_set_bit(BIGNUM *a, int n)
712 {
713 int i,j,k;
714
715 i=n/BN_BITS2;
716 j=n%BN_BITS2;
717 if (a->top <= i)
718 {
719 if (bn_wexpand(a,i+1) == NULL) return(0);
720 for(k=a->top; k<i+1; k++)
721 a->d[k]=0;
722 a->top=i+1;
723 }
724
725 a->d[i]|=(((BN_ULONG)1)<<j);
726 return(1);
727 }
728
729int BN_clear_bit(BIGNUM *a, int n)
730 {
731 int i,j;
732
733 i=n/BN_BITS2;
734 j=n%BN_BITS2;
735 if (a->top <= i) return(0);
736
737 a->d[i]&=(~(((BN_ULONG)1)<<j));
738 bn_fix_top(a);
739 return(1);
740 }
741
742int BN_is_bit_set(const BIGNUM *a, int n)
743 {
744 int i,j;
745
746 if (n < 0) return(0);
747 i=n/BN_BITS2;
748 j=n%BN_BITS2;
749 if (a->top <= i) return(0);
750 return((a->d[i]&(((BN_ULONG)1)<<j))?1:0);
751 }
752
753int BN_mask_bits(BIGNUM *a, int n)
754 {
755 int b,w;
756
757 w=n/BN_BITS2;
758 b=n%BN_BITS2;
759 if (w >= a->top) return(0);
760 if (b == 0)
761 a->top=w;
762 else
763 {
764 a->top=w+1;
765 a->d[w]&= ~(BN_MASK2<<b);
766 }
767 bn_fix_top(a);
768 return(1);
769 }
770
771int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
772 {
773 int i;
774 BN_ULONG aa,bb;
775
776 aa=a[n-1];
777 bb=b[n-1];
778 if (aa != bb) return((aa > bb)?1:-1);
779 for (i=n-2; i>=0; i--)
780 {
781 aa=a[i];
782 bb=b[i];
783 if (aa != bb) return((aa > bb)?1:-1);
784 }
785 return(0);
786 }
787
788/* Here follows a specialised variants of bn_cmp_words(). It has the
789 property of performing the operation on arrays of different sizes.
790 The sizes of those arrays is expressed through cl, which is the
791 common length ( basicall, min(len(a),len(b)) ), and dl, which is the
792 delta between the two lengths, calculated as len(a)-len(b).
793 All lengths are the number of BN_ULONGs... */
794
795int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b,
796 int cl, int dl)
797 {
798 int n,i;
799 n = cl-1;
800
801 if (dl < 0)
802 {
803 for (i=dl; i<0; i++)
804 {
805 if (b[n-i] != 0)
806 return -1; /* a < b */
807 }
808 }
809 if (dl > 0)
810 {
811 for (i=dl; i>0; i--)
812 {
813 if (a[n+i] != 0)
814 return 1; /* a > b */
815 }
816 }
817 return bn_cmp_words(a,b,cl);
818 }