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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
131BIGNUM *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 an internal function that should not be used in applications.
309 * It ensures that 'b' has enough room for a 'words' word number number.
310 * It is mostly used by the various BIGNUM routines. If there is an error,
311 * NULL is returned. If not, 'b' is returned. */
312
313BIGNUM *bn_expand2(BIGNUM *b, int words)
314 {
315 BN_ULONG *A,*a;
316 const BN_ULONG *B;
317 int i;
318
319 bn_check_top(b);
320
321 if (words > b->dmax)
322 {
323 if (words > (INT_MAX/(4*BN_BITS2)))
324 {
325 BNerr(BN_F_BN_EXPAND2,BN_R_BIGNUM_TOO_LONG);
326 return NULL;
327 }
328
329 bn_check_top(b);
330 if (BN_get_flags(b,BN_FLG_STATIC_DATA))
331 {
332 BNerr(BN_F_BN_EXPAND2,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
333 return(NULL);
334 }
335 a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*(words+1));
336 if (A == NULL)
337 {
338 BNerr(BN_F_BN_EXPAND2,ERR_R_MALLOC_FAILURE);
339 return(NULL);
340 }
341#if 1
342 B=b->d;
343 /* Check if the previous number needs to be copied */
344 if (B != NULL)
345 {
346#if 0
347 /* This lot is an unrolled loop to copy b->top
348 * BN_ULONGs from B to A
349 */
350/*
351 * I have nothing against unrolling but it's usually done for
352 * several reasons, namely:
353 * - minimize percentage of decision making code, i.e. branches;
354 * - avoid cache trashing;
355 * - make it possible to schedule loads earlier;
356 * Now let's examine the code below. The cornerstone of C is
357 * "programmer is always right" and that's what we love it for:-)
358 * For this very reason C compilers have to be paranoid when it
359 * comes to data aliasing and assume the worst. Yeah, but what
360 * does it mean in real life? This means that loop body below will
361 * be compiled to sequence of loads immediately followed by stores
362 * as compiler assumes the worst, something in A==B+1 style. As a
363 * result CPU pipeline is going to starve for incoming data. Secondly
364 * if A and B happen to share same cache line such code is going to
365 * cause severe cache trashing. Both factors have severe impact on
366 * performance of modern CPUs and this is the reason why this
367 * particular piece of code is #ifdefed away and replaced by more
368 * "friendly" version found in #else section below. This comment
369 * also applies to BN_copy function.
370 *
371 * <appro@fy.chalmers.se>
372 */
373 for (i=b->top&(~7); i>0; i-=8)
374 {
375 A[0]=B[0]; A[1]=B[1]; A[2]=B[2]; A[3]=B[3];
376 A[4]=B[4]; A[5]=B[5]; A[6]=B[6]; A[7]=B[7];
377 A+=8;
378 B+=8;
379 }
380 switch (b->top&7)
381 {
382 case 7:
383 A[6]=B[6];
384 case 6:
385 A[5]=B[5];
386 case 5:
387 A[4]=B[4];
388 case 4:
389 A[3]=B[3];
390 case 3:
391 A[2]=B[2];
392 case 2:
393 A[1]=B[1];
394 case 1:
395 A[0]=B[0];
396 case 0:
397 /* I need the 'case 0' entry for utrix cc.
398 * If the optimizer is turned on, it does the
399 * switch table by doing
400 * a=top&7
401 * a--;
402 * goto jump_table[a];
403 * If top is 0, this makes us jump to 0xffffffc
404 * which is rather bad :-(.
405 * eric 23-Apr-1998
406 */
407 ;
408 }
409#else
410 for (i=b->top>>2; i>0; i--,A+=4,B+=4)
411 {
412 /*
413 * The fact that the loop is unrolled
414 * 4-wise is a tribute to Intel. It's
415 * the one that doesn't have enough
416 * registers to accomodate more data.
417 * I'd unroll it 8-wise otherwise:-)
418 *
419 * <appro@fy.chalmers.se>
420 */
421 BN_ULONG a0,a1,a2,a3;
422 a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
423 A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
424 }
425 switch (b->top&3)
426 {
427 case 3: A[2]=B[2];
428 case 2: A[1]=B[1];
429 case 1: A[0]=B[0];
430 case 0: ; /* ultrix cc workaround, see above */
431 }
432#endif
433 OPENSSL_free(b->d);
434 }
435
436 b->d=a;
437 b->dmax=words;
438
439 /* Now need to zero any data between b->top and b->max */
440
441 A= &(b->d[b->top]);
442 for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8)
443 {
444 A[0]=0; A[1]=0; A[2]=0; A[3]=0;
445 A[4]=0; A[5]=0; A[6]=0; A[7]=0;
446 }
447 for (i=(b->dmax - b->top)&7; i>0; i--,A++)
448 A[0]=0;
449#else
450 memset(A,0,sizeof(BN_ULONG)*(words+1));
451 memcpy(A,b->d,sizeof(b->d[0])*b->top);
452 b->d=a;
453 b->max=words;
454#endif
455
456/* memset(&(p[b->max]),0,((words+1)-b->max)*sizeof(BN_ULONG)); */
457/* { int i; for (i=b->max; i<words+1; i++) p[i]=i;} */
458
459 }
460 return(b);
461 }
462
463BIGNUM *BN_dup(const BIGNUM *a)
464 {
465 BIGNUM *r;
466
467 if (a == NULL) return NULL;
468
469 bn_check_top(a);
470
471 r=BN_new();
472 if (r == NULL) return(NULL);
473 return((BIGNUM *)BN_copy(r,a));
474 }
475
476BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
477 {
478 int i;
479 BN_ULONG *A;
480 const BN_ULONG *B;
481
482 bn_check_top(b);
483
484 if (a == b) return(a);
485 if (bn_wexpand(a,b->top) == NULL) return(NULL);
486
487#if 1
488 A=a->d;
489 B=b->d;
490 for (i=b->top>>2; i>0; i--,A+=4,B+=4)
491 {
492 BN_ULONG a0,a1,a2,a3;
493 a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3];
494 A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3;
495 }
496 switch (b->top&3)
497 {
498 case 3: A[2]=B[2];
499 case 2: A[1]=B[1];
500 case 1: A[0]=B[0];
501 case 0: ; /* ultrix cc workaround, see comments in bn_expand2 */
502 }
503#else
504 memcpy(a->d,b->d,sizeof(b->d[0])*b->top);
505#endif
506
507/* memset(&(a->d[b->top]),0,sizeof(a->d[0])*(a->max-b->top));*/
508 a->top=b->top;
509 if ((a->top == 0) && (a->d != NULL))
510 a->d[0]=0;
511 a->neg=b->neg;
512 return(a);
513 }
514
515void BN_clear(BIGNUM *a)
516 {
517 if (a->d != NULL)
518 memset(a->d,0,a->dmax*sizeof(a->d[0]));
519 a->top=0;
520 a->neg=0;
521 }
522
523BN_ULONG BN_get_word(BIGNUM *a)
524 {
525 int i,n;
526 BN_ULONG ret=0;
527
528 n=BN_num_bytes(a);
529 if (n > sizeof(BN_ULONG))
530 return(BN_MASK2);
531 for (i=a->top-1; i>=0; i--)
532 {
533#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
534 ret<<=BN_BITS4; /* stops the compiler complaining */
535 ret<<=BN_BITS4;
536#else
537 ret=0;
538#endif
539 ret|=a->d[i];
540 }
541 return(ret);
542 }
543
544int BN_set_word(BIGNUM *a, BN_ULONG w)
545 {
546 int i,n;
547 if (bn_expand(a,sizeof(BN_ULONG)*8) == NULL) return(0);
548
549 n=sizeof(BN_ULONG)/BN_BYTES;
550 a->neg=0;
551 a->top=0;
552 a->d[0]=(BN_ULONG)w&BN_MASK2;
553 if (a->d[0] != 0) a->top=1;
554 for (i=1; i<n; i++)
555 {
556 /* the following is done instead of
557 * w>>=BN_BITS2 so compilers don't complain
558 * on builds where sizeof(long) == BN_TYPES */
559#ifndef SIXTY_FOUR_BIT /* the data item > unsigned long */
560 w>>=BN_BITS4;
561 w>>=BN_BITS4;
562#else
563 w=0;
564#endif
565 a->d[i]=(BN_ULONG)w&BN_MASK2;
566 if (a->d[i] != 0) a->top=i+1;
567 }
568 return(1);
569 }
570
571/* ignore negative */
572BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
573 {
574 unsigned int i,m;
575 unsigned int n;
576 BN_ULONG l;
577
578 if (ret == NULL) ret=BN_new();
579 if (ret == NULL) return(NULL);
580 l=0;
581 n=len;
582 if (n == 0)
583 {
584 ret->top=0;
585 return(ret);
586 }
587 if (bn_expand(ret,(int)(n+2)*8) == NULL)
588 return(NULL);
589 i=((n-1)/BN_BYTES)+1;
590 m=((n-1)%(BN_BYTES));
591 ret->top=i;
592 while (n-- > 0)
593 {
594 l=(l<<8L)| *(s++);
595 if (m-- == 0)
596 {
597 ret->d[--i]=l;
598 l=0;
599 m=BN_BYTES-1;
600 }
601 }
602 /* need to call this due to clear byte at top if avoiding
603 * having the top bit set (-ve number) */
604 bn_fix_top(ret);
605 return(ret);
606 }
607
608/* ignore negative */
609int BN_bn2bin(const BIGNUM *a, unsigned char *to)
610 {
611 int n,i;
612 BN_ULONG l;
613
614 n=i=BN_num_bytes(a);
615 while (i-- > 0)
616 {
617 l=a->d[i/BN_BYTES];
618 *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff;
619 }
620 return(n);
621 }
622
623int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
624 {
625 int i;
626 BN_ULONG t1,t2,*ap,*bp;
627
628 bn_check_top(a);
629 bn_check_top(b);
630
631 i=a->top-b->top;
632 if (i != 0) return(i);
633 ap=a->d;
634 bp=b->d;
635 for (i=a->top-1; i>=0; i--)
636 {
637 t1= ap[i];
638 t2= bp[i];
639 if (t1 != t2)
640 return(t1 > t2?1:-1);
641 }
642 return(0);
643 }
644
645int BN_cmp(const BIGNUM *a, const BIGNUM *b)
646 {
647 int i;
648 int gt,lt;
649 BN_ULONG t1,t2;
650
651 if ((a == NULL) || (b == NULL))
652 {
653 if (a != NULL)
654 return(-1);
655 else if (b != NULL)
656 return(1);
657 else
658 return(0);
659 }
660
661 bn_check_top(a);
662 bn_check_top(b);
663
664 if (a->neg != b->neg)
665 {
666 if (a->neg)
667 return(-1);
668 else return(1);
669 }
670 if (a->neg == 0)
671 { gt=1; lt= -1; }
672 else { gt= -1; lt=1; }
673
674 if (a->top > b->top) return(gt);
675 if (a->top < b->top) return(lt);
676 for (i=a->top-1; i>=0; i--)
677 {
678 t1=a->d[i];
679 t2=b->d[i];
680 if (t1 > t2) return(gt);
681 if (t1 < t2) return(lt);
682 }
683 return(0);
684 }
685
686int BN_set_bit(BIGNUM *a, int n)
687 {
688 int i,j,k;
689
690 i=n/BN_BITS2;
691 j=n%BN_BITS2;
692 if (a->top <= i)
693 {
694 if (bn_wexpand(a,i+1) == NULL) return(0);
695 for(k=a->top; k<i+1; k++)
696 a->d[k]=0;
697 a->top=i+1;
698 }
699
700 a->d[i]|=(((BN_ULONG)1)<<j);
701 return(1);
702 }
703
704int BN_clear_bit(BIGNUM *a, int n)
705 {
706 int i,j;
707
708 i=n/BN_BITS2;
709 j=n%BN_BITS2;
710 if (a->top <= i) return(0);
711
712 a->d[i]&=(~(((BN_ULONG)1)<<j));
713 bn_fix_top(a);
714 return(1);
715 }
716
717int BN_is_bit_set(const BIGNUM *a, int n)
718 {
719 int i,j;
720
721 if (n < 0) return(0);
722 i=n/BN_BITS2;
723 j=n%BN_BITS2;
724 if (a->top <= i) return(0);
725 return((a->d[i]&(((BN_ULONG)1)<<j))?1:0);
726 }
727
728int BN_mask_bits(BIGNUM *a, int n)
729 {
730 int b,w;
731
732 w=n/BN_BITS2;
733 b=n%BN_BITS2;
734 if (w >= a->top) return(0);
735 if (b == 0)
736 a->top=w;
737 else
738 {
739 a->top=w+1;
740 a->d[w]&= ~(BN_MASK2<<b);
741 }
742 bn_fix_top(a);
743 return(1);
744 }
745
746int bn_cmp_words(BN_ULONG *a, BN_ULONG *b, int n)
747 {
748 int i;
749 BN_ULONG aa,bb;
750
751 aa=a[n-1];
752 bb=b[n-1];
753 if (aa != bb) return((aa > bb)?1:-1);
754 for (i=n-2; i>=0; i--)
755 {
756 aa=a[i];
757 bb=b[i];
758 if (aa != bb) return((aa > bb)?1:-1);
759 }
760 return(0);
761 }
762