source: trunk/src/bignum.c@ 225

Last change on this file since 225 was 1, checked in by katerina, 19 years ago

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1/* Implementation of bignums by Henrik.Johansson@Nexus.Comm.SE in 1991
2 * version 1.2
3 */
4
5/* Modifications in this file (Nov 1999, Rainer Wichmann):
6 * - a few compiler warnings fixed:
7 * gcc insists on 'if ( ( b_eq_qr = ((b == q) || (b == r)) ) )'
8 * instead of 'if ( b_eq_qr = ((b == q) || (b == r)) )'
9 * - code that is not used in samhain is #defined out by:
10 * #if (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER))
11 * or
12 * #ifdef UNUSED_CODE
13 * - the error message (error_string[]) is enclosed in N_(),_() macros
14 * - the following four #includes have been added
15 */
16#include "config_xor.h"
17
18
19#include <string.h>
20
21#ifdef HAVE_MEMORY_H
22#include <memory.h>
23#endif
24
25#include "samhain.h"
26#include "bignum.h"
27
28
29#if (!defined(HAVE_LIBGMP) || !defined(HAVE_GMP_H)) && (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER))
30
31#define DIGIT BIGNUM_DIGIT
32#define DIGIT2 BIGNUM_TWO_DIGITS
33
34#ifndef TRUE
35#define TRUE (1 == 1)
36#endif
37#ifndef FALSE
38#define FALSE (1 != 1)
39#endif
40
41
42#define MIN_ALLOC ((sizeof(long) / sizeof(DIGIT)) << 1)
43
44/* Don't expect the "sign" field to have the right value (BIG_SIGN_0) at
45 * all times, so compare real content of bignum with zerop.
46 * Maybe it would be better to be sure at all times that the sign is right?
47 */
48#define zerop(BIG) ((*(BIG)->dp == 0) && ((BIG)->dgs_used == 1))
49#define uonep(BIG) ((*(BIG)->dp == 1) && ((BIG)->dgs_used == 1))
50#define NEGATE_SIGN(SGN) (-(SGN))
51
52#define DIGIT_BITS BIGNUM_DIGIT_BITS
53#define DIGIT2_BITS BIGNUM_TWO_DIGITS_BITS
54
55#define DIGIT_PART(N) ((DIGIT)((N) & ((((DIGIT2)1) << DIGIT_BITS) - 1)))
56#define RESULT_MINUSP(RES) (((RES) & ((DIGIT2)1 << (DIGIT2_BITS - 1))) != 0)
57#define SHIFT_DIGIT_DOWN(N) (DIGIT_PART((N) >> DIGIT_BITS))
58#define SHIFT_DIGIT_UP(N) ((DIGIT2)((N) << DIGIT_BITS))
59
60#define DIGIT_BASE (((DIGIT2)1) << DIGIT_BITS)
61#define MAX_DIGIT ((((DIGIT2)1) << DIGIT_BITS) - 1)
62
63#define uint unsigned int
64#define ulong unsigned long
65
66/*
67extern void *malloc(size_t size);
68extern void free();
69*/
70
71char *last_string = NULL;
72char *big_end_string = NULL;
73
74ulong length_last_string;
75static char big_base_digits1[] =
76N_("00112233445566778899AaBbCcDdEeFfGgHhIiJjKkLlMmNnOoPpQqRrSsTtUuVvWwXxYyZz");
77static char error_string[] = N_("(big_errno != 0, something has gone wrong)");
78static char big_base_digits[73] = "\0";
79
80bignum big_one;
81bignum tmp_string, tmp_add, tmp_mul, tmp_q, tmp_r, tmp_rand, tmp_round;
82DIGIT *tmp_digits;
83ulong tmp_ulong;
84
85/* #define COUNT_ALLOC */
86#ifdef COUNT_ALLOC
87ulong dgs_alloc = 0, digits_freed = 0;
88#endif
89
90int big_errno = BIG_OK;
91
92double log2tbl[] =
93{
94 -1.0, -1.0,
95 1.000000000000000, 1.584961891174317, 2.000000000000002, 2.321928024291994,
96 2.584960937500003, 2.807353973388675, 3.000000000000004, 3.169923782348637,
97 3.321928024291997, 3.459430694580083, 3.584960937500005, 3.700439453125006,
98 3.807353973388678, 3.906888961791999, 4.000000000000014, 4.087459564208999,
99 4.169921875000016, 4.247924804687517, 4.321926116943377, 4.392314910888691,
100 4.459430694580098, 4.523559570312520, 4.584960937500021, 4.643856048584007,
101 4.700439453125023, 4.754886627197290, 4.807353973388697, 4.857978820800807,
102 4.906887054443386, 4.954193115234403, 5.000000000000028, 5.044391632080107,
103 5.087459564209015, 5.129280090332062, 5.169921875000032
104};
105
106struct digit_blocks
107{
108 int digCnt;
109 DIGIT dig_base;
110} big_block[37]; /* The code uses index 2 to 36 */
111
112
113/* ----------------------------------------------------------------------
114 * All static utility functions are placed first in this file.
115 */
116
117#ifndef HAVE_STRCHR
118static char * strchr (char * str_ptr, char ch)
119{
120 do
121 {
122 if (*str_ptr == ch)
123 {
124 return str_ptr;
125 }
126 } while (*str_ptr++ != '\0');
127 return NULL;
128}
129#endif
130
131#if 0
132
133extern int printf();
134
135static void
136print_digits(prefix, a)
137char *prefix;
138bignum *a;
139{
140 unsigned long i;
141 ulong tmp;
142
143 printf("%s", prefix);
144 if (a->sign == BIG_SIGN_MINUS)
145 {
146 printf("- ");
147 }
148 else
149 {
150 if (a->sign == BIG_SIGN_PLUS)
151 {
152 printf("+ ");
153 }
154 else
155 {
156 printf("+/- ");
157 }
158 }
159 for (i = a->dgs_used - 1; i > 0; i--)
160 {
161 tmp = a->dp[i];
162 printf("%lu, ", tmp);
163 }
164 tmp = *a->dp;
165 printf("%lu\n", tmp);
166}
167
168#else
169
170#define print_digits(prefix, big) /* */
171
172#endif
173
174static void
175init_digit_blocks(void)
176{
177 uint digcnt, base;
178 DIGIT maxdigit, curdigit, tmp;
179
180 for (base = 2; base <= 36; base++)
181 {
182 tmp = ((1 << (DIGIT_BITS - 1)) / base);
183 maxdigit = tmp * 2;
184 curdigit = 1;
185 digcnt = 0;
186 while (curdigit < maxdigit)
187 {
188 digcnt++;
189 curdigit *= base;
190 }
191 big_block[base].digCnt = digcnt;
192 big_block[base].dig_base = curdigit;
193 }
194}
195
196#ifdef COUNT_ALLOC
197static void
198free_digits(DIGIT * dp, ulong count)
199{
200 /* Mar 4 2000 R. Wichmann: check for dp == NULL */
201 if (!dp)
202 return;
203 digits_freed += count;
204 free((char *)dp);
205 dp = NULL;
206}
207#else
208/* June 5 2000 R. Wichmann: check for dp == NULL */
209/* #define free_digits(DP,CNT) free((char *)DP) */
210static void
211free_digits(DIGIT * dp, ulong count)
212{
213 /* Mar 4 2000 R. Wichmann: check for dp == NULL */
214 if (!dp)
215 return;
216 free((char *)dp);
217 dp = NULL;
218 count = 0;
219}
220#endif
221
222static DIGIT *
223allocate_digits(ulong alloclen)
224{
225 DIGIT *digit_ptr;
226
227 if (big_errno != BIG_OK)
228 {
229 return NULL;
230 }
231#ifdef COUNT_ALLOC
232 dgs_alloc += alloclen;
233#endif
234 digit_ptr = (DIGIT *) malloc(alloclen * sizeof(DIGIT));
235 if (digit_ptr == NULL)
236 {
237 big_errno = BIG_MEMERR;
238 return NULL;
239 }
240 return digit_ptr;
241}
242
243static bigerr_t
244newsize(DIGIT **dp_p, ulong *cursize_p, ulong minsz, ulong newsz)
245{
246 if (*cursize_p >= minsz)
247 {
248 return big_errno;
249 }
250 free_digits(*dp_p, *cursize_p);
251 if (newsz < MIN_ALLOC)
252 {
253 newsz = MIN_ALLOC;
254 }
255 if ((*dp_p = allocate_digits(newsz)) == NULL)
256 {
257 return big_errno;
258 }
259 *cursize_p = newsz;
260 return big_errno;
261}
262
263/* `memcpy' uses an `int' as counter. If an int can't hold a big enough
264 * counter, then `digits_cpy' becomes a function (and a little slower,
265 * probably. Unfortunately `memcpy' takes a signed counter, but _that_
266 * size of numbers are almost too big! Or isn't it?
267 */
268#ifdef MEMCPY_LONG_COUNTER
269/* extern char *memcpy(); */
270#define digits_cpy(dst, src, count) memcpy((char *)(dst), (char *)(src), \
271 (count) * sizeof(DIGIT))
272#else
273static void
274digits_cpy(DIGIT *dst, DIGIT *src, ulong count)
275{
276 while (count-- > 0)
277 {
278 *dst++ = *src++;
279 }
280}
281#endif
282
283static DIGIT *
284copy_digits(DIGIT *src, ulong cp_count, ulong alloclen)
285{
286 DIGIT *dst;
287
288 if (big_errno != BIG_OK)
289 {
290 return NULL;
291 }
292 if ((dst = allocate_digits(alloclen)) == NULL)
293 {
294 return NULL;
295 }
296 digits_cpy(dst, src, cp_count);
297 return dst;
298}
299
300static void
301add_digit(bignum * a, DIGIT d)
302{
303 DIGIT2 res = d;
304 DIGIT *last_digit, *digit_ptr = a->dp, *digvect;
305
306 last_digit = digit_ptr + a->dgs_used;
307 while (digit_ptr < last_digit)
308 {
309 res = *digit_ptr + res;
310 *digit_ptr = DIGIT_PART(res);
311 res = SHIFT_DIGIT_DOWN(res);
312 digit_ptr++;
313 if (res == 0)
314 {
315 break;
316 }
317 }
318 if (res != 0)
319 {
320 if (a->dgs_used < a->dgs_alloc)
321 {
322 *digit_ptr = DIGIT_PART(res);
323 }
324 else
325 {
326 if ((digvect = copy_digits(a->dp, a->dgs_used,
327 a->dgs_used + 4)) == NULL)
328 {
329 return; /* big_errno will be set to last error */
330 }
331 digvect[a->dgs_used] = DIGIT_PART(res);
332 free_digits(a->dp, a->dgs_alloc);
333 a->dgs_alloc = a->dgs_used + 4;
334 a->dp = digvect;
335 }
336 a->dgs_used++;
337 }
338}
339
340static DIGIT
341vect_div_digit(DIGIT *digvect, ulong *len, DIGIT d)
342{
343 DIGIT *digit_ptr = digvect + *len - 1, newval;
344 DIGIT2 rest = 0;
345
346 if (d == 0)
347 {
348 big_errno = BIG_DIV_ZERO;
349 return -1;
350 }
351 if (d == 1)
352 {
353 return 0;
354 }
355 while (digit_ptr >= digvect)
356 {
357 rest = (DIGIT2)SHIFT_DIGIT_UP(rest);
358 newval = DIGIT_PART((*digit_ptr + rest) / d);
359 rest = (*digit_ptr + rest) % d;
360 *digit_ptr = newval;
361 digit_ptr--;
362 }
363 if (*len > 1)
364 {
365 if (digvect[*len - 1] == 0)
366 {
367 *len -= 1;
368 }
369 }
370 return DIGIT_PART(rest);
371}
372
373static DIGIT
374udiv_digit(bignum *a, DIGIT d)
375{
376 DIGIT res;
377
378 res = vect_div_digit(a->dp, &a->dgs_used, d);
379 if (zerop(a))
380 {
381 a->sign = BIG_SIGN_0;
382 }
383 return res;
384}
385
386static DIGIT
387vect_mul_digit(DIGIT *digvect, ulong len, DIGIT x)
388{
389 DIGIT *digit_ptr = digvect + len;
390 DIGIT2 res = 0;
391
392 while (digvect < digit_ptr)
393 {
394 res += *digvect * (DIGIT2)x;
395 *digvect = DIGIT_PART(res);
396 res = SHIFT_DIGIT_DOWN(res);
397 digvect++;
398 }
399 return DIGIT_PART(res);
400}
401
402static void
403umul_digit(bignum *a, DIGIT x)
404{
405 DIGIT ovfl, *digvect;
406
407 ovfl = vect_mul_digit(a->dp, a->dgs_used, x);
408 if (ovfl != 0)
409 {
410 if (a->dgs_used < a->dgs_alloc)
411 {
412 a->dp[a->dgs_used] = ovfl;
413 }
414 else
415 {
416 digvect = copy_digits(a->dp,
417 a->dgs_used,
418 a->dgs_used + 4);
419 digvect[a->dgs_used] = ovfl;
420 free_digits(a->dp, a->dgs_alloc);
421 a->dgs_alloc = a->dgs_used + 4;
422 a->dp = digvect;
423 }
424 a->dgs_used++;
425 }
426}
427
428static int
429ucompare_digits(bignum *a, bignum *b)
430{
431 DIGIT *a_ptr, *b_ptr;
432
433 if (a->dgs_used == b->dgs_used)
434 {
435 a_ptr = a->dp + a->dgs_used - 1;
436 b_ptr = b->dp + b->dgs_used - 1;
437 while ((*a_ptr == *b_ptr) && (a_ptr >= a->dp))
438 {
439 a_ptr--;
440 b_ptr--;
441 }
442 if (a_ptr < a->dp)
443 {
444 return 0;
445 }
446 else
447 {
448 return (*a_ptr > *b_ptr) ? 1 : -1;
449 }
450 }
451 return (a->dgs_used > b->dgs_used) ? 1 : -1;
452}
453
454static void
455uadd_digits(bignum *a, bignum *b, bignum *c)
456{
457 DIGIT *dp_x, *dp_y, *dp_z, *res_dp, *end_x, *end_y;
458 ulong len_x, len_y;
459 DIGIT2 res = 0;
460
461 if (a->dgs_used > b->dgs_used)
462 {
463 dp_x = a->dp;
464 len_x = a->dgs_used;
465 dp_y = b->dp;
466 len_y = b->dgs_used;
467 }
468 else
469 {
470 dp_x = b->dp;
471 len_x = b->dgs_used;
472 dp_y = a->dp;
473 len_y = a->dgs_used;
474 }
475 end_x = dp_x + len_x;
476 end_y = dp_y + len_y;
477 if (c->dgs_alloc >= len_x)
478 {
479 dp_z = c->dp;
480 }
481 else
482 {
483 if (newsize(&tmp_add.dp, &tmp_add.dgs_alloc,
484 len_x, len_x + 4) != BIG_OK)
485 {
486 return;
487 }
488 dp_z = tmp_add.dp;
489 }
490 res_dp = dp_z;
491 while (dp_y < end_y)
492 {
493 res += ((DIGIT2)*dp_x++) + *dp_y++;
494 *res_dp++ = DIGIT_PART(res);
495 res = SHIFT_DIGIT_DOWN(res);
496 }
497 while (dp_x < end_x)
498 {
499 res += *dp_x++;
500 *res_dp++ = DIGIT_PART(res);
501 res = SHIFT_DIGIT_DOWN(res);
502 }
503 if (res != 0)
504 {
505 *res_dp++ = DIGIT_PART(res);
506 }
507
508 if (dp_z != c->dp)
509 {
510 tmp_digits = c->dp;
511 c->dp = tmp_add.dp;
512 tmp_add.dp = tmp_digits;
513
514 tmp_ulong = c->dgs_alloc;
515 c->dgs_alloc = tmp_add.dgs_alloc;
516 tmp_add.dgs_alloc = tmp_ulong;
517 }
518 c->dgs_used = res_dp - c->dp;
519}
520
521static void
522usub_digits(bignum *a, bignum *b, bignum *c)
523{
524 DIGIT *dp_x, *dp_y, *dp_z, *res_dp, *end_x, *end_y;
525 ulong len_x, len_y;
526 DIGIT2 res = 0;
527
528 dp_x = a->dp;
529 len_x = a->dgs_used;
530 dp_y = b->dp;
531 len_y = b->dgs_used;
532
533 end_x = dp_x + len_x;
534 end_y = dp_y + len_y;
535 if (c->dgs_alloc >= len_x)
536 {
537 dp_z = c->dp;
538 }
539 else
540 {
541 if (newsize(&tmp_add.dp, &tmp_add.dgs_alloc,
542 len_x, len_x + 2) != BIG_OK)
543 {
544 return;
545 }
546 dp_z = tmp_add.dp;
547 }
548 res_dp = dp_z;
549 while (dp_y < end_y)
550 {
551 res = ((DIGIT2)*dp_x++) - *dp_y++ - RESULT_MINUSP(res);
552 *res_dp++ = DIGIT_PART(res);
553 }
554 while (dp_x < end_x)
555 {
556 res = *dp_x++ - RESULT_MINUSP(res);
557 *res_dp++ = DIGIT_PART(res);
558 }
559#ifdef BIG_CHECK_LIMITS
560 if (RESULT_MINUSP(res) != 0)
561 {
562 big_errno = BIG_ALGERR;
563 return;
564 }
565#endif
566 while ((*--res_dp == 0) && (res_dp > dp_z))
567 {
568 /* Move pointer down until we reach a non-zero */
569 }
570 if (dp_z != c->dp)
571 {
572 tmp_digits = c->dp;
573 c->dp = tmp_add.dp;
574 tmp_add.dp = tmp_digits;
575
576 tmp_ulong = tmp_add.dgs_alloc;
577 tmp_add.dgs_alloc = c->dgs_alloc;
578 c->dgs_alloc = tmp_ulong;
579 }
580 c->dgs_used = res_dp - dp_z + 1;
581}
582
583/*
584 * This (pseudo) random number generator is not very good. It has a long
585 * period [ 2 ^ (DIGIT_BITS * 2) (?)] before it starts with the same sequence
586 * again, but the lower bits are "less random" than they should be. I've
587 * solved it by using word of double length, and returning the upper bits.
588 * Please mail me if you know how to make it into a "more random" generator.
589 * One important thing though: it will have to reasonably fast.
590 * The good thing with this one is that it is very portable, but that doesn't
591 * help much when you want _good_ random numbers.
592 * Henrik.Johansson@Nexus.Comm.SE
593 */
594#ifdef UNUSED_CODE
595static DIGIT
596rand(void)
597{
598 static DIGIT2 x1 = 33, x2 = 45; /* Just give them two starting values */
599
600 if (x2 = BIG_RAND_A2 * x2 + BIG_RAND_C2, x2 == 45)
601 {
602 x1 = BIG_RAND_A1 * x1 + BIG_RAND_C1;
603 }
604 return SHIFT_DIGIT_DOWN(x1 + x2); /* Skip least significant bits */
605}
606/* UNUSED_CODE */
607#endif
608
609/* ----------------------------------------------------------------------
610 * All external functions comes here.
611 */
612
613bigerr_t
614big_init_pkg()
615{
616 strcpy (big_base_digits, _(big_base_digits1)); /* known to fit */
617 init_digit_blocks();
618 big_create(&tmp_string);
619 big_create(&tmp_add);
620 big_create(&tmp_mul);
621 big_create(&tmp_q);
622 big_create(&tmp_r);
623 big_create(&tmp_rand);
624 big_create(&big_one);
625 big_set_long((long)1, &big_one);
626 length_last_string = 10;
627 if ((last_string = malloc(length_last_string)) == NULL)
628 {
629 big_errno = BIG_MEMERR;
630 }
631 return big_errno;
632}
633
634void
635big_release_pkg()
636{
637 big_destroy(&tmp_string);
638 big_destroy(&tmp_add);
639 big_destroy(&tmp_mul);
640 big_destroy(&tmp_q);
641 big_destroy(&tmp_r);
642 big_destroy(&tmp_round);
643 big_destroy(&big_one);
644 if (last_string != NULL)
645 free(last_string);
646#ifdef COUNT_ALLOC
647 printf("Allocated digits: %lu\n", dgs_alloc);
648 printf("Freed digits: %lu\n", digits_freed);
649#endif
650}
651
652bigerr_t
653big_create(a)
654bignum *a;
655{
656 /* Make sure that big_create alway returns a NULL bignum
657 * that can safely be destroyed.
658 */
659 if (a != NULL)
660 {
661 a->dp = NULL;
662 }
663 if (big_errno != BIG_OK)
664 {
665 return big_errno;
666 }
667 if (a == NULL)
668 {
669 big_errno = BIG_ARGERR;
670 return big_errno;
671 }
672
673 a->sign = BIG_SIGN_0;
674 a->dgs_used = 1;
675 if ((a->dp = allocate_digits((long)sizeof(long))) == NULL)
676 {
677 return big_errno;
678 }
679 a->dgs_alloc = sizeof(long);
680 *a->dp = 0;
681 return big_errno;
682}
683
684void
685big_destroy(a)
686bignum *a;
687{
688 /* Mar 4, 2000 R. Wichmann: check for a == NULL */
689 /* free_digits() checks for a->dp == NULL */
690 if (a != NULL)
691 free_digits(a->dp, a->dgs_alloc);
692}
693
694ulong
695big_bitcount(a)
696bignum *a;
697{
698 int bits = 0;
699 DIGIT high_digit;
700
701 if (big_errno != BIG_OK)
702 {
703 return 0;
704 }
705 high_digit = a->dp[a->dgs_used - 1];
706 while (high_digit != 0)
707 {
708 bits++;
709 high_digit >>= 1;
710 }
711 return DIGIT_BITS * (a->dgs_used - 1) + bits;
712}
713
714bigerr_t
715big_set_big(a, b)
716bignum *a;
717bignum *b;
718{
719 if ((big_errno != BIG_OK) || (a == b))
720 {
721 return big_errno;
722 }
723 if (newsize(&b->dp, &b->dgs_alloc, a->dgs_used, a->dgs_used) != BIG_OK)
724 {
725 return big_errno;
726 }
727 b->dgs_used = a->dgs_used;
728 b->sign = a->sign;
729 digits_cpy(b->dp, a->dp, a->dgs_used);
730 return big_errno;
731}
732
733
734void
735big_set_ulong(n, a)
736ulong n;
737bignum *a;
738{
739 unsigned int i;
740
741 if (big_errno != BIG_OK)
742 {
743 return;
744 }
745 if (n == 0)
746 {
747 *a->dp = 0;
748 a->dgs_used = 1;
749 a->sign = BIG_SIGN_0;
750 }
751 else
752 {
753 a->dgs_used = 0;
754 for (i = 0; i < sizeof(long) / sizeof(DIGIT); i++)
755 {
756 if (n == 0)
757 {
758 break;
759 }
760 a->dgs_used++;
761 a->dp[i] = DIGIT_PART(n);
762 n = SHIFT_DIGIT_DOWN(n);
763 }
764 a->sign = BIG_SIGN_PLUS;
765 }
766 print_digits("set_(u)long: a = ", a);
767}
768
769void
770big_set_long(n, a)
771long n;
772bignum *a;
773{
774 ulong m;
775
776 m = (n < 0) ? - n : n;
777 big_set_ulong(m, a);
778 if (!(n >= 0))
779 {
780 a->sign = BIG_SIGN_MINUS;
781 }
782}
783
784
785bigerr_t
786big_set_string(numstr, base, a)
787char *numstr;
788int base;
789bignum *a;
790{
791 char *src, *maxdigit, *chrptr;
792 DIGIT dig_base, dig_sum, last_base;
793 int cnt, maxcnt;
794
795 if (big_errno != BIG_OK)
796 {
797 return big_errno;
798 }
799
800 big_end_string = numstr;
801 if ((base < 2) || (base > 36) || (numstr == NULL) || (a == NULL))
802 {
803 big_errno = BIG_ARGERR;
804 return big_errno;
805 }
806
807 src = numstr;
808
809 maxdigit = big_base_digits + (base << 1);
810
811 maxcnt = big_block[base].digCnt;
812 dig_base = big_block[base].dig_base;
813 a->dgs_used = 1;
814 *a->dp = 0;
815 a->sign = BIG_SIGN_PLUS; /* Assume it will be positive */
816 while (strchr(" \t\n\r", *src) != NULL) /* Skip whitespaces */
817 {
818 src++;
819 }
820 if ((*src == '-') || (*src == '+')) /* First non-white is a sign? */
821 {
822 a->sign = (*src == '-') ? BIG_SIGN_MINUS : BIG_SIGN_PLUS;
823 src++;
824 }
825 chrptr = strchr(big_base_digits, *src);
826 if ((chrptr == NULL) || (chrptr >= maxdigit)) /* Next chr not a digit? */
827 {
828 big_end_string = src;
829 big_errno = BIG_ARGERR;
830 return big_errno;
831 }
832 while (*src == '0') /* Next chr a '0'? */
833 {
834 src++; /* Read past all '0'es */
835 }
836 chrptr = strchr(big_base_digits, *src);
837 if ((chrptr == NULL) || (chrptr >= maxdigit)) /* Next char not a digit */
838 {
839 big_end_string = src;
840 a->sign = BIG_SIGN_0; /* It was just a plain 0 */
841 return big_errno;
842 }
843 dig_sum = 0;
844 cnt = 0;
845 while ((chrptr = strchr(big_base_digits, *src)),
846 (chrptr != NULL) && (chrptr < maxdigit))
847 {
848 dig_sum = dig_sum * base + ((chrptr - big_base_digits) >> 1);
849 if (++cnt >= maxcnt)
850 {
851 umul_digit(a, dig_base);
852 add_digit(a, dig_sum);
853 dig_sum = 0;
854 cnt = 0;
855 }
856 src++;
857 }
858 if (cnt > 0)
859 {
860 last_base = base;
861 while (--cnt > 0)
862 {
863 last_base *= base;
864 }
865 umul_digit(a, last_base);
866 add_digit(a, dig_sum);
867 }
868 big_end_string = src;
869 return big_errno;
870}
871
872
873int
874big_ulong(a, n)
875bignum *a;
876ulong *n;
877{
878 ulong old_n;
879 DIGIT *dp;
880
881 if (big_errno != BIG_OK)
882 {
883 return FALSE;
884 }
885 if (a->dgs_used > sizeof(ulong) / sizeof(DIGIT))
886 {
887 return FALSE;
888 }
889 dp = a->dp + a->dgs_used - 1;
890 old_n = *n = *dp--;
891 while ((dp >= a->dp) && (old_n < *n))
892 {
893 old_n = *n;
894 *n = SHIFT_DIGIT_UP(*n) + *dp--;
895 }
896 if (old_n >= *n)
897 {
898 return FALSE;
899 }
900 return FALSE;
901}
902
903int
904big_long(a, n)
905bignum *a;
906long *n;
907{
908 long old_n;
909 DIGIT *dp;
910
911 if (a->dgs_used > sizeof(ulong) / sizeof(DIGIT))
912 {
913 return FALSE;
914 }
915 dp = a->dp + a->dgs_used - 1;
916 old_n = *n = *dp--;
917 while ((dp >= a->dp) && (old_n <= *n))
918 {
919 old_n = *n;
920 *n = SHIFT_DIGIT_UP(*n) + *dp--;
921 }
922 if (old_n >= *n)
923 {
924 return FALSE;
925 }
926 if (a->sign == BIG_SIGN_MINUS)
927 {
928 *n = -*n;;
929 }
930 return FALSE;
931}
932
933
934char *
935big_string(a, base)
936bignum *a;
937int base;
938{
939 ulong bit_length, str_length;
940 char *dst;
941 DIGIT dig_base, rem;
942 int cnt, maxcnt;
943
944 if (big_errno != BIG_OK)
945 {
946 return _(error_string);
947 }
948 big_set_big(a, &tmp_string);
949 /* Need more room than minimum here... */
950 bit_length = tmp_string.dgs_used * DIGIT_BITS;
951 /* bit_length = big_bitcount(&tmp_string); */
952 str_length = (ulong)(bit_length / log2tbl[base] + 4);
953 if (str_length > length_last_string)
954 {
955 if (last_string != NULL)
956 free(last_string);
957 if ((last_string = malloc(str_length)) == NULL)
958 {
959 big_errno = BIG_MEMERR;
960 return NULL;
961 }
962 length_last_string = str_length;
963 }
964
965 dst = last_string + length_last_string - 1;
966 *dst-- = '\0';
967 maxcnt = big_block[base].digCnt;
968 dig_base = big_block[base].dig_base;
969 while (tmp_string.dgs_used > 1)
970 {
971 rem = udiv_digit(&tmp_string, dig_base);
972 for (cnt = 0; cnt < maxcnt; cnt++)
973 {
974 *dst-- = big_base_digits[(rem % base) << 1];
975 rem /= base;
976 }
977 }
978 rem = *tmp_string.dp;
979 do
980 {
981 *dst-- = big_base_digits[(rem % base) << 1];
982 rem /= base;
983 } while (rem != 0);
984
985 if (a->sign == BIG_SIGN_MINUS)
986 {
987 *dst = '-';
988 }
989 else
990 {
991 dst++;
992 }
993 return dst;
994}
995
996bigerr_t
997big_negate(a, b)
998bignum *a;
999bignum *b;
1000{
1001 big_set_big(a, b);
1002 b->sign = NEGATE_SIGN(a->sign);
1003 return big_errno;
1004}
1005
1006int
1007big_sign(a)
1008bignum *a;
1009{
1010 return a->sign;
1011}
1012
1013bigerr_t
1014big_abs(a, b)
1015bignum *a;
1016bignum *b;
1017{
1018 big_set_big(a, b);
1019 if (a->sign == BIG_SIGN_MINUS)
1020 {
1021 b->sign = NEGATE_SIGN(a->sign);
1022 }
1023 return big_errno;
1024}
1025
1026int
1027big_compare(a, b)
1028bignum *a;
1029bignum *b;
1030{
1031 if (a->sign == b->sign)
1032 {
1033 if (a->sign == 0)
1034 {
1035 return 0;
1036 }
1037 return
1038 (a->sign == BIG_SIGN_MINUS)
1039 ? -ucompare_digits(a, b)
1040 : ucompare_digits(a, b);
1041 }
1042 return b->sign - a->sign;
1043}
1044
1045int
1046big_lessp(a, b)
1047bignum *a;
1048bignum *b;
1049{
1050 return big_compare(a, b) < 0;
1051}
1052
1053int
1054big_leqp(a, b)
1055bignum *a;
1056bignum *b;
1057{
1058 return !(big_compare(a, b) > 0);
1059}
1060
1061int
1062big_equalp(a, b)
1063bignum *a;
1064bignum *b;
1065{
1066 return big_compare(a, b) == 0;
1067}
1068
1069int
1070big_geqp(a, b)
1071bignum *a;
1072bignum *b;
1073{
1074 return !(big_compare(a, b) < 0);
1075}
1076
1077int
1078big_greaterp(a, b)
1079bignum *a;
1080bignum *b;
1081{
1082 return big_compare(a, b) > 0;
1083}
1084
1085int
1086big_zerop(a)
1087bignum *a;
1088{
1089 return a->sign == BIG_SIGN_0;
1090}
1091
1092int
1093big_evenp(a)
1094bignum *a;
1095{
1096 return ((*a->dp & 0x01) == 0);
1097}
1098
1099int
1100big_oddp(a)
1101bignum *a;
1102{
1103 return ((*a->dp & 0x01) == 1);
1104}
1105
1106bigerr_t
1107big_add(a, b, c)
1108bignum *a;
1109bignum *b;
1110bignum *c;
1111{
1112 int cmp;
1113
1114 if (big_errno != BIG_OK)
1115 {
1116 return big_errno;
1117 }
1118 print_digits("add:\ta = ", a);
1119 print_digits("\tb = ", b);
1120 if (a->sign == b->sign)
1121 {
1122 uadd_digits(a, b, c);
1123 c->sign = a->sign;
1124 }
1125 else
1126 {
1127 cmp = ucompare_digits(a, b);
1128 if (cmp < 0)
1129 {
1130 usub_digits(b, a, c);
1131 if (zerop(c))
1132 {
1133 c->sign = BIG_SIGN_0;
1134 }
1135 else
1136 {
1137 c->sign = b->sign;
1138 }
1139 }
1140 else if (cmp > 0)
1141 {
1142 usub_digits(a, b, c);
1143 if (zerop(c))
1144 {
1145 c->sign = BIG_SIGN_0;
1146 }
1147 else
1148 {
1149 c->sign = a->sign;
1150 }
1151 }
1152 else
1153 {
1154 c->dgs_used = 1;
1155 *c->dp = 0;
1156 c->sign = BIG_SIGN_0;
1157 }
1158 }
1159 print_digits("\tc = ", c);
1160 return big_errno;
1161}
1162
1163bigerr_t
1164big_sub(a, b, c)
1165bignum *a;
1166bignum *b;
1167bignum *c;
1168{
1169 int cmp;
1170
1171 if (big_errno != BIG_OK)
1172 {
1173 return big_errno;
1174 }
1175 print_digits("sub:\ta = ", a);
1176 print_digits("\tb = ", b);
1177 if (a->sign == BIG_SIGN_0)
1178 {
1179 big_set_big(b, c);
1180 big_negate(c, c);
1181 print_digits("\tc = ", c);
1182 return big_errno;
1183 }
1184 if (b->sign == BIG_SIGN_0)
1185 {
1186 big_set_big(a, c);
1187 print_digits("\tc = ", c);
1188 return big_errno;
1189 }
1190
1191 cmp = ucompare_digits(a, b);
1192 if (cmp <= 0)
1193 {
1194 if (a->sign != b->sign)
1195 {
1196 uadd_digits(a, b, c);
1197 c->sign = a->sign;
1198 }
1199 else
1200 {
1201 usub_digits(b, a, c);
1202 c->sign = (zerop(c) ? BIG_SIGN_0 : NEGATE_SIGN(a->sign));
1203 }
1204 }
1205 else if (cmp > 0)
1206 {
1207 if (a->sign != b->sign)
1208 {
1209 uadd_digits(a, b, c);
1210 c->sign = a->sign;
1211 }
1212 else
1213 {
1214 usub_digits(a, b, c);
1215 c->sign = (zerop(c) ? BIG_SIGN_0 : b->sign);
1216 }
1217 }
1218 else
1219 {
1220 c->dgs_used = 1;
1221 *c->dp = 0;
1222 c->sign = BIG_SIGN_0;
1223 }
1224 print_digits("\tc = ", c);
1225 return big_errno;
1226}
1227
1228bigerr_t
1229big_mul(a, b, c)
1230bignum *a;
1231bignum *b;
1232bignum *c;
1233{
1234 DIGIT *dp_x, *dp_xstart, *dp_xend;
1235 DIGIT *dp_y, *dp_ystart, *dp_yend;
1236 DIGIT *dp_z, *dp_zstart, *dp_zend, *dp_zsumstart;
1237 ulong len_x, len_y /* , len_z */;
1238 DIGIT2 res;
1239 DIGIT tmp_res; /* Without use of this, gcc (v 1.39) generates */
1240 /* erroneous code on a sun386 machine */
1241 /* Should be removed with #ifdef's, when */
1242 /* not on a sun386, but... */
1243
1244 if (big_errno != BIG_OK)
1245 {
1246 return big_errno;
1247 }
1248 print_digits("mul:\ta = ", a);
1249 print_digits("\tb = ", b);
1250
1251 if (zerop(a) || zerop(b))
1252 {
1253 c->sign = BIG_SIGN_0;
1254 c->dgs_used = 1;
1255 *c->dp = 0;
1256 print_digits("(a=0 || b=0)c = ", c);
1257 return big_errno;
1258 }
1259 if (uonep(a))
1260 {
1261 big_set_big(b, c);
1262 c->sign = (a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS;
1263 print_digits("(abs(a)=1)c = ", c);
1264 return big_errno;
1265 }
1266 if (uonep(b))
1267 {
1268 big_set_big(a, c);
1269 c->sign = (a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS;
1270 print_digits("(abs(b)=1)c = ", c);
1271 return big_errno;
1272 }
1273
1274 if (a->dgs_used < b->dgs_used)
1275 {
1276 dp_xstart = a->dp;
1277 len_x = a->dgs_used;
1278 dp_ystart = b->dp;
1279 len_y = b->dgs_used;
1280 }
1281 else
1282 {
1283 dp_xstart = b->dp;
1284 len_x = b->dgs_used;
1285 dp_ystart = a->dp;
1286 len_y = a->dgs_used;
1287 }
1288 if ((c == a) || (c == b))
1289 {
1290 if (newsize(&tmp_mul.dp, &tmp_mul.dgs_alloc,
1291 len_x + len_y, len_x + len_y + 2) != BIG_OK)
1292 {
1293 return big_errno;
1294 }
1295 dp_zsumstart = tmp_mul.dp;
1296 /* len_z = tmp_mul.dgs_alloc; */
1297 }
1298 else
1299 {
1300 if (newsize(&c->dp, &c->dgs_alloc,
1301 len_x + len_y, len_x + len_y + 2) != BIG_OK)
1302 {
1303 return big_errno;
1304 }
1305 dp_zsumstart = c->dp;
1306 /* len_z = c->dgs_alloc; */
1307 }
1308
1309 dp_xend = dp_xstart + len_x;
1310 dp_yend = dp_ystart + len_y;
1311 dp_zend = dp_zsumstart + len_y;
1312
1313 for (dp_z = dp_zsumstart; dp_z < dp_zend; dp_z++)
1314 {
1315 *dp_z = 0; /* Zero out rightmost digits */
1316 }
1317
1318 dp_zstart = dp_zsumstart;
1319
1320 for (dp_x = dp_xstart; dp_x < dp_xend; dp_x++)
1321 {
1322 dp_z = dp_zstart;
1323 tmp_res = 0;
1324 for (dp_y = dp_ystart; dp_y < dp_yend; dp_y++)
1325 {
1326 res = (DIGIT2)(*dp_x) * (*dp_y) + (*dp_z) + tmp_res;
1327 *dp_z++ = DIGIT_PART(res);
1328 tmp_res = SHIFT_DIGIT_DOWN(res);
1329 }
1330 *dp_z = tmp_res;
1331 dp_zstart++;
1332 }
1333 if (dp_zsumstart != c->dp)
1334 {
1335 tmp_digits = c->dp;
1336 c->dp = tmp_mul.dp;
1337 tmp_mul.dp = tmp_digits;
1338
1339 tmp_ulong = c->dgs_alloc;
1340 c->dgs_alloc = tmp_mul.dgs_alloc;
1341 tmp_mul.dgs_alloc = tmp_ulong;
1342 }
1343 if (*dp_z == 0)
1344 {
1345 dp_z--;
1346 }
1347 c->dgs_used = dp_z - dp_zsumstart + 1;
1348 c->sign = a->sign * b->sign;
1349 print_digits("\tc = ", c);
1350 return big_errno;
1351}
1352
1353bigerr_t
1354big_trunc(a, b, q, r)
1355bignum *a;
1356bignum *b;
1357bignum *q;
1358bignum *r;
1359{
1360 DIGIT *v_end, *q_end, *r_end, *src, *dst;
1361 DIGIT norm, qhat, t1, t2, t3, v1, v2, u1, u2, u3;
1362 DIGIT2 temp, res, carry;
1363 long a_l, b_l, q_l, r_l;
1364#if 0
1365 ulong i;
1366#endif
1367 ulong j, m, n;
1368 int cmp, q_eq_a, q_eq_b, r_eq_a, r_eq_b;
1369
1370 if (big_errno != BIG_OK)
1371 {
1372 return big_errno;
1373 }
1374 print_digits("div:\ta = ", a);
1375 print_digits("\tb = ", b);
1376 if (zerop(b))
1377 {
1378 big_errno = BIG_DIV_ZERO;
1379 return big_errno;
1380 }
1381
1382 if (q == r)
1383 {
1384 big_errno = BIG_ARGERR;
1385 return big_errno;
1386 }
1387
1388 if (b->dgs_used == 1)
1389 {
1390 big_set_big(a, q);
1391 q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
1392 *r->dp = udiv_digit(q, *b->dp);
1393 r->dgs_used = 1;
1394 r->sign = (zerop(r) ? BIG_SIGN_0 : a->sign);
1395 print_digits("\t3:q = ", q);
1396 print_digits("\t r = ", r);
1397 return big_errno;
1398 }
1399
1400 if (big_long(a, &a_l)) /* Pretend it is a signed value */
1401 {
1402 big_long(b, &b_l); /* |a| < |b| so this will succeed */
1403 q_l = a_l / b_l; /* Compute with unsigned operators */
1404 r_l = a_l % b_l;
1405 big_set_long((long)q_l, q);
1406 big_set_long((long)r_l, r);
1407 print_digits("\t4:q = ", q);
1408 print_digits("\t r = ", r);
1409 return big_errno;
1410 }
1411
1412 cmp = ucompare_digits(a, b); /* Unsigned compare, that is... */
1413 if (cmp < 0)
1414 {
1415 big_set_big(a, r); /* r = a (don't care about big_errno here) */
1416 q->sign = BIG_SIGN_0; /* q = 0 */
1417 *q->dp = 0;
1418 q->dgs_used = 1;
1419 print_digits("\t1:q = ", q);
1420 print_digits("\t r = ", r);
1421 return big_errno;
1422 }
1423 else
1424 if (cmp == 0)
1425 {
1426 q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
1427 *q->dp = 1; /* q = 1 */
1428 q->dgs_used = 1;
1429 r->sign = BIG_SIGN_0; /* r = 0 */
1430 *r->dp = 0;
1431 r->dgs_used = 1;
1432 print_digits("\t2:q = ", q);
1433 print_digits("\t r = ", r);
1434 return big_errno;
1435 }
1436
1437 q_eq_a = (q == a);
1438 q_eq_b = (q == b);
1439 if (q_eq_a || q_eq_b)
1440 {
1441 q = &tmp_q;
1442 }
1443
1444 r_eq_a = (r == a);
1445 r_eq_b = (r == b);
1446 if (r_eq_a || r_eq_b)
1447 {
1448 r = &tmp_r;
1449 }
1450
1451 if (newsize(&r->dp, &r->dgs_alloc, /* At least one more dig in r */
1452 a->dgs_used + 1, a->dgs_used + 2) != BIG_OK)
1453 {
1454 return big_errno;
1455 }
1456 big_set_big(a, r);
1457 r->dp[a->dgs_used] = 0; /* In case no overflow in mult. */
1458
1459 n = b->dgs_used;
1460 v_end = b->dp + n - 1;
1461 norm = DIGIT_PART((DIGIT_BASE / ((DIGIT2)*v_end + 1)));
1462 if (norm != 1)
1463 {
1464 umul_digit(r, norm);
1465 umul_digit(b, norm);
1466 print_digits("r = ", r);
1467 print_digits("b = ", b);
1468 }
1469 m = a->dgs_used + 1 - b->dgs_used;
1470 r_end = r->dp + a->dgs_used;
1471
1472 if (newsize(&q->dp, &q->dgs_alloc, m, m + 2) != BIG_OK)
1473 {
1474 return big_errno;
1475 }
1476 q_end = q->dp + m - 1;
1477
1478 v1 = *v_end;
1479 v2 = *(v_end - 1);
1480
1481 for (j = 0; j < m; j++) /* m steps through division */
1482 {
1483 u1 = *r_end; /* routine */
1484 u2 = *(r_end - 1);
1485 u3 = *(r_end - 2);
1486 qhat = ((u1 == v1) ?
1487 MAX_DIGIT :
1488 DIGIT_PART(((DIGIT2)u1 * DIGIT_BASE + u2) / v1));
1489 while (1)
1490 {
1491 t3 = DIGIT_PART(temp = (DIGIT2)qhat * v2);
1492 t2 = DIGIT_PART(temp = SHIFT_DIGIT_DOWN(temp) + v1 * (DIGIT2)qhat);
1493 t1 = DIGIT_PART(SHIFT_DIGIT_DOWN(temp));
1494#if 0
1495 printf("t1 = %lu, ", (ulong)t1);
1496 printf("t2 = %lu, ", (ulong)t2);
1497 printf("t3 = %lu\n", (ulong)t3);
1498#endif
1499 if (t1 < u1) break;
1500 if (t1 > u1) {--qhat; continue; }
1501 if (t2 < u2) break;
1502 if (t2 > u2) { --qhat; continue; }
1503 if (t3 <= u3) break;
1504 qhat--;
1505 }
1506
1507 /* This is a tricky one - multiply and subtract simultaneously */
1508 carry = 1;
1509 res = 0;
1510 src = b->dp;
1511 dst = r->dp + m - j - 1;
1512 while (src <= v_end)
1513 {
1514 res = (DIGIT2)qhat * *(src++) + SHIFT_DIGIT_DOWN(res);
1515 carry += (DIGIT2)(*dst) + MAX_DIGIT - DIGIT_PART(res);
1516 *(dst++) = DIGIT_PART(carry);
1517 carry = DIGIT_PART(SHIFT_DIGIT_DOWN(carry));
1518 }
1519 carry += (DIGIT2)(*dst) + MAX_DIGIT - SHIFT_DIGIT_DOWN(res);
1520 *dst = DIGIT_PART(carry);
1521 carry = DIGIT_PART(SHIFT_DIGIT_DOWN(carry));
1522
1523 if (carry == 0)
1524 {
1525 qhat--;
1526 src = b->dp;
1527 dst = r->dp + m - j - 1;
1528 while (dst <= r_end)
1529 {
1530 carry = (DIGIT2)(*dst) + *src++ + SHIFT_DIGIT_DOWN(carry);
1531 *dst++ = DIGIT_PART(carry);
1532 }
1533 *dst = 0;
1534 }
1535 *(q_end - j) = DIGIT_PART(qhat);
1536 r_end--;
1537 }
1538 r->sign = a->sign;
1539#if 0
1540 i = r->dgs_used;
1541#endif
1542 while ((*r_end == 0) && (r_end > r->dp))
1543 {
1544 r_end--;
1545 }
1546 if (r_end == r->dp)
1547 {
1548 r->dgs_used = 1;
1549 r->sign = BIG_SIGN_0;
1550 }
1551 else
1552 {
1553 r->dgs_used = r_end - r->dp + 1;
1554 r->sign = a->sign;
1555 }
1556 if (norm != 1)
1557 {
1558 udiv_digit(b, norm);
1559 udiv_digit(r, norm);
1560 }
1561 while ((*q_end == 0) && (q_end > q->dp)) /* This is not needed!(?) */
1562 {
1563 q_end--;
1564 }
1565 /* was ifdef'd out already in original */
1566#if 0
1567 i = m - 1;
1568 while ((i > 0) && (q->dp[i--] == 0))
1569 {
1570 /* Loop through all zeroes */
1571 }
1572#endif
1573 q->dgs_used = q_end - q->dp + 1;
1574 q->sign = ((a->sign == b->sign) ? BIG_SIGN_PLUS : BIG_SIGN_MINUS);
1575
1576 if (q_eq_a)
1577 {
1578 big_set_big(q, a);
1579 }
1580 else
1581 if (q_eq_b)
1582 {
1583 big_set_big(q, b);
1584 }
1585
1586 if (r_eq_b)
1587 {
1588 big_set_big(r, b);
1589 }
1590 else
1591 if (r_eq_a)
1592 {
1593 big_set_big(r, a);
1594 }
1595
1596 print_digits("\t5:q = ", q);
1597 print_digits("\t r = ", r);
1598 return big_errno;
1599}
1600
1601bigerr_t
1602big_floor(a, b, q, r)
1603bignum *a;
1604bignum *b;
1605bignum *q;
1606bignum *r;
1607{
1608 int b_eq_qr, sign_eq;
1609
1610 if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
1611 {
1612 big_set_big(b, &tmp_mul);
1613 }
1614 sign_eq = a->sign == b->sign;
1615 big_trunc(a, b, q, r);
1616 if (sign_eq)
1617 {
1618 return big_errno;
1619 }
1620 if (!zerop(r))
1621 {
1622 if (b_eq_qr)
1623 {
1624 big_add(r, &tmp_mul, r);
1625 }
1626 else
1627 {
1628 big_add(r, b, r);
1629 }
1630 print_digits("big_one = ", &big_one);
1631 big_sub(q, &big_one, q);
1632 }
1633 return big_errno;
1634}
1635
1636bigerr_t
1637big_ceil(a, b, q, r)
1638bignum *a;
1639bignum *b;
1640bignum *q;
1641bignum *r;
1642{
1643 int b_eq_qr, sign_diff;
1644
1645 if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
1646 {
1647 big_set_big(b, &tmp_mul);
1648 }
1649 sign_diff = a->sign != b->sign;
1650 big_trunc(a, b, q, r);
1651 if (sign_diff)
1652 {
1653 return big_errno;
1654 }
1655 if (!zerop(r))
1656 {
1657 if (b_eq_qr)
1658 {
1659 big_sub(r, &tmp_mul, r);
1660 }
1661 else
1662 {
1663 big_sub(r, b, r);
1664 }
1665 big_add(q, &big_one, q);
1666 }
1667 return big_errno;
1668}
1669
1670#ifdef UNUSED_CODE
1671/* This one doesn't work to 100%. I was a little braindamaged when I wrote
1672 * this, but I'll eventually fix it. Zzzzzzz.
1673 */
1674bigerr_t
1675big_round(a, b, q, r)
1676bignum *a;
1677bignum *b;
1678bignum *q;
1679bignum *r;
1680{
1681 int b_eq_qr, b_neg_p, a_sgn_neq_b_sgn;
1682
1683 if ( ( b_eq_qr = ((b == q) || (b == r)) ) )
1684 {
1685 big_set_big(b, &tmp_round);
1686 }
1687 b_neg_p = b->sign == BIG_SIGN_MINUS;
1688 a_sgn_neq_b_sgn = a->sign != b->sign;
1689 big_trunc(a, b, q, r);
1690
1691 big_set_big(r, &tmp_add);
1692 umul_digit(&tmp_add, 2);
1693 if (ucompare_digits(&tmp_add, b) > 0) /* |2 * r| > |b| */
1694 {
1695 if (q->sign == BIG_SIGN_0)
1696 {
1697 if (a_sgn_neq_b_sgn)
1698 {
1699 big_sub(q, &big_one, q);
1700 }
1701 else
1702 {
1703 big_add(q, &big_one, q);
1704 }
1705 }
1706 else
1707 {
1708 if (q->sign == BIG_SIGN_MINUS)
1709 {
1710 big_sub(q, &big_one, q);
1711 }
1712 else
1713 {
1714 big_add(q, &big_one, q);
1715 }
1716 }
1717 if (b_eq_qr)
1718 {
1719 if (q->sign == BIG_SIGN_PLUS)
1720 {
1721 big_sub(r, &tmp_round, r);
1722 }
1723 else
1724 {
1725 big_add(r, &tmp_round, r);
1726 }
1727 }
1728 else
1729 {
1730 if (q->sign == BIG_SIGN_PLUS)
1731 {
1732 big_sub(r, b, r);
1733 }
1734 else
1735 {
1736 big_add(r, b, r);
1737 }
1738 }
1739 }
1740 return big_errno;
1741}
1742
1743bigerr_t
1744big_random(a, b)
1745bignum *a;
1746bignum *b;
1747{
1748 unsigned long i;
1749 int a_sgn = a->sign;
1750
1751 if (big_errno != BIG_OK)
1752 {
1753 return big_errno;
1754 }
1755 if (zerop(a)) /* a = 0 -> big_random => 0 (special case) */
1756 {
1757 *b->dp = 0;
1758 b->dgs_used = 1;
1759 b->sign = a_sgn;
1760 return big_errno;
1761 }
1762 if (newsize(&tmp_rand.dp, &tmp_rand.dgs_alloc,
1763 a->dgs_used + 1, a->dgs_used + 1) != BIG_OK)
1764 {
1765 return big_errno;
1766 }
1767 for (i = 0; i <= a->dgs_used; i++)
1768 {
1769 tmp_rand.dp[i] = rand();
1770 }
1771 while (tmp_rand.dp[a->dgs_used] == 0) /* Make sure high digit is non-0 */
1772 {
1773 tmp_rand.dp[a->dgs_used] = rand();
1774 }
1775 tmp_rand.dgs_used = a->dgs_used + 1;
1776 tmp_rand.sign = BIG_SIGN_PLUS;
1777 a->sign = BIG_SIGN_PLUS;
1778 big_trunc(&tmp_rand, a, &tmp_q, b); /* Dangerous to use tmp_q here... */
1779 a->sign = a_sgn;
1780 b->sign = zerop(&tmp_rand) ? BIG_SIGN_0 : a_sgn;
1781 return big_errno;
1782}
1783
1784/* UNUSED_CODE */
1785#endif
1786
1787/* ----------------------------------------------------------------------
1788 * External functions that do not need to know anything about the internal
1789 * representation of a bignum.
1790 */
1791
1792#ifdef UNUSED_CODE
1793
1794int
1795big_expt(a, z, x)
1796bignum *a;
1797unsigned long z;
1798bignum *x;
1799{
1800 bignum b;
1801
1802 big_create(&b);
1803 big_set_big(a, &b);
1804 big_set_long((long)1, x);
1805
1806 while ((z != 0) && (big_errno == BIG_OK))
1807 {
1808 while ((z & 0x01) == 0)
1809 {
1810 z >>= 1;
1811 big_mul(&b, &b, &b);
1812 }
1813 z -= 1;
1814 big_mul(x, &b, x);
1815 }
1816
1817 big_destroy(&b);
1818 return big_errno;
1819}
1820
1821/* UNUSED_CODE */
1822#endif
1823
1824int
1825big_exptmod(a_in, z_in, n, x)
1826bignum *a_in;
1827bignum *z_in;
1828bignum *n;
1829bignum *x;
1830{
1831 bignum a, z, b0, b1, b2, dummy;
1832
1833 big_create(&a);
1834 big_create(&z);
1835 big_create(&b0);
1836 big_create(&b1);
1837 big_create(&b2);
1838 big_create(&dummy);
1839
1840 big_set_big(a_in, &a);
1841 big_set_big(z_in, &z);
1842 big_set_long((long)1, x);
1843 big_set_long((long)0, &b0);
1844 big_set_long((long)1, &b1);
1845 big_set_long((long)2, &b2);
1846
1847 /* No foolproof testing on big_errno - it really ought to be done */
1848 while ((big_compare(&z, &b0) != 0) && (big_errno == BIG_OK))
1849 {
1850 while (big_evenp(&z) && (big_errno == BIG_OK))
1851 {
1852 big_trunc(&z, &b2, &z, &dummy);
1853 big_mul(&a, &a, &a);
1854 big_trunc(&a, n, &dummy, &a);
1855 }
1856 big_sub(&z, &b1, &z);
1857 big_mul(x, &a, x);
1858 big_trunc(x, n, &dummy, x);
1859 }
1860
1861 big_destroy(&dummy);
1862 big_destroy(&b2);
1863 big_destroy(&b1);
1864 big_destroy(&b0);
1865 big_destroy(&z);
1866 big_destroy(&a);
1867
1868 return big_errno;
1869}
1870
1871#ifdef UNUSED_CODE
1872
1873int
1874big_gcd(a, b, g)
1875bignum *a;
1876bignum *b;
1877bignum *g;
1878{
1879 bignum a1, b1, tmp;
1880
1881 if (big_zerop(b))
1882 {
1883 big_abs(a, g);
1884 return big_errno;
1885 }
1886
1887 big_create(&a1);
1888 big_create(&b1);
1889 big_create(&tmp);
1890
1891 big_abs(a, &a1);
1892 big_abs(b, &b1);
1893
1894 while (!big_zerop(&b1) && (big_errno == BIG_OK))
1895 {
1896 big_floor(&a1, &b1, &tmp, &a1);
1897 if (big_zerop(&a1))
1898 {
1899 break;
1900 }
1901 big_floor(&b1, &a1, &tmp, &b1);
1902 }
1903
1904 if (big_zerop(&a1))
1905 {
1906 big_set_big(&b1, g);
1907 }
1908 else
1909 {
1910 big_set_big(&a1, g);
1911 }
1912
1913 big_destroy(&tmp);
1914 big_destroy(&b1);
1915 big_destroy(&a1);
1916
1917 return big_errno;
1918}
1919/* UNUSED_CODE */
1920#endif
1921
1922/* #if (defined (SH_WITH_CLIENT) || defined (SH_WITH_SERVER)) */
1923#endif
1924
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