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1 /*
2  * Copyright 1995-2020 The OpenSSL Project Authors. All Rights Reserved.
3  *
4  * Licensed under the OpenSSL license (the "License").  You may not use
5  * this file except in compliance with the License.  You can obtain a copy
6  * in the file LICENSE in the source distribution or at
7  * https://www.openssl.org/source/license.html
8  */
9 
10 #include <assert.h>
11 #include <limits.h>
12 #include "internal/cryptlib.h"
13 #include "bn_local.h"
14 #include <openssl/opensslconf.h>
15 #include "internal/constant_time.h"
16 
17 /* This stuff appears to be completely unused, so is deprecated */
18 #if OPENSSL_API_COMPAT < 0x00908000L
19 /*-
20  * For a 32 bit machine
21  * 2 -   4 ==  128
22  * 3 -   8 ==  256
23  * 4 -  16 ==  512
24  * 5 -  32 == 1024
25  * 6 -  64 == 2048
26  * 7 - 128 == 4096
27  * 8 - 256 == 8192
28  */
29 static int bn_limit_bits = 0;
30 static int bn_limit_num = 8;    /* (1<<bn_limit_bits) */
31 static int bn_limit_bits_low = 0;
32 static int bn_limit_num_low = 8; /* (1<<bn_limit_bits_low) */
33 static int bn_limit_bits_high = 0;
34 static int bn_limit_num_high = 8; /* (1<<bn_limit_bits_high) */
35 static int bn_limit_bits_mont = 0;
36 static int bn_limit_num_mont = 8; /* (1<<bn_limit_bits_mont) */
37 
BN_set_params(int mult,int high,int low,int mont)38 void BN_set_params(int mult, int high, int low, int mont)
39 {
40     if (mult >= 0) {
41         if (mult > (int)(sizeof(int) * 8) - 1)
42             mult = sizeof(int) * 8 - 1;
43         bn_limit_bits = mult;
44         bn_limit_num = 1 << mult;
45     }
46     if (high >= 0) {
47         if (high > (int)(sizeof(int) * 8) - 1)
48             high = sizeof(int) * 8 - 1;
49         bn_limit_bits_high = high;
50         bn_limit_num_high = 1 << high;
51     }
52     if (low >= 0) {
53         if (low > (int)(sizeof(int) * 8) - 1)
54             low = sizeof(int) * 8 - 1;
55         bn_limit_bits_low = low;
56         bn_limit_num_low = 1 << low;
57     }
58     if (mont >= 0) {
59         if (mont > (int)(sizeof(int) * 8) - 1)
60             mont = sizeof(int) * 8 - 1;
61         bn_limit_bits_mont = mont;
62         bn_limit_num_mont = 1 << mont;
63     }
64 }
65 
BN_get_params(int which)66 int BN_get_params(int which)
67 {
68     if (which == 0)
69         return bn_limit_bits;
70     else if (which == 1)
71         return bn_limit_bits_high;
72     else if (which == 2)
73         return bn_limit_bits_low;
74     else if (which == 3)
75         return bn_limit_bits_mont;
76     else
77         return 0;
78 }
79 #endif
80 
BN_value_one(void)81 const BIGNUM *BN_value_one(void)
82 {
83     static const BN_ULONG data_one = 1L;
84     static const BIGNUM const_one =
85         { (BN_ULONG *)&data_one, 1, 1, 0, BN_FLG_STATIC_DATA };
86 
87     return &const_one;
88 }
89 
90 /*
91  * Old Visual Studio ARM compiler miscompiles BN_num_bits_word()
92  * https://mta.openssl.org/pipermail/openssl-users/2018-August/008465.html
93  */
94 #if defined(_MSC_VER) && defined(_ARM_) && defined(_WIN32_WCE) \
95     && _MSC_VER>=1400 && _MSC_VER<1501
96 # define MS_BROKEN_BN_num_bits_word
97 # pragma optimize("", off)
98 #endif
BN_num_bits_word(BN_ULONG l)99 int BN_num_bits_word(BN_ULONG l)
100 {
101     BN_ULONG x, mask;
102     int bits = (l != 0);
103 
104 #if BN_BITS2 > 32
105     x = l >> 32;
106     mask = (0 - x) & BN_MASK2;
107     mask = (0 - (mask >> (BN_BITS2 - 1)));
108     bits += 32 & mask;
109     l ^= (x ^ l) & mask;
110 #endif
111 
112     x = l >> 16;
113     mask = (0 - x) & BN_MASK2;
114     mask = (0 - (mask >> (BN_BITS2 - 1)));
115     bits += 16 & mask;
116     l ^= (x ^ l) & mask;
117 
118     x = l >> 8;
119     mask = (0 - x) & BN_MASK2;
120     mask = (0 - (mask >> (BN_BITS2 - 1)));
121     bits += 8 & mask;
122     l ^= (x ^ l) & mask;
123 
124     x = l >> 4;
125     mask = (0 - x) & BN_MASK2;
126     mask = (0 - (mask >> (BN_BITS2 - 1)));
127     bits += 4 & mask;
128     l ^= (x ^ l) & mask;
129 
130     x = l >> 2;
131     mask = (0 - x) & BN_MASK2;
132     mask = (0 - (mask >> (BN_BITS2 - 1)));
133     bits += 2 & mask;
134     l ^= (x ^ l) & mask;
135 
136     x = l >> 1;
137     mask = (0 - x) & BN_MASK2;
138     mask = (0 - (mask >> (BN_BITS2 - 1)));
139     bits += 1 & mask;
140 
141     return bits;
142 }
143 #ifdef MS_BROKEN_BN_num_bits_word
144 # pragma optimize("", on)
145 #endif
146 
147 /*
148  * This function still leaks `a->dmax`: it's caller's responsibility to
149  * expand the input `a` in advance to a public length.
150  */
151 static ossl_inline
bn_num_bits_consttime(const BIGNUM * a)152 int bn_num_bits_consttime(const BIGNUM *a)
153 {
154     int j, ret;
155     unsigned int mask, past_i;
156     int i = a->top - 1;
157     bn_check_top(a);
158 
159     for (j = 0, past_i = 0, ret = 0; j < a->dmax; j++) {
160         mask = constant_time_eq_int(i, j); /* 0xff..ff if i==j, 0x0 otherwise */
161 
162         ret += BN_BITS2 & (~mask & ~past_i);
163         ret += BN_num_bits_word(a->d[j]) & mask;
164 
165         past_i |= mask; /* past_i will become 0xff..ff after i==j */
166     }
167 
168     /*
169      * if BN_is_zero(a) => i is -1 and ret contains garbage, so we mask the
170      * final result.
171      */
172     mask = ~(constant_time_eq_int(i, ((int)-1)));
173 
174     return ret & mask;
175 }
176 
BN_num_bits(const BIGNUM * a)177 int BN_num_bits(const BIGNUM *a)
178 {
179     int i = a->top - 1;
180     bn_check_top(a);
181 
182     if (a->flags & BN_FLG_CONSTTIME) {
183         /*
184          * We assume that BIGNUMs flagged as CONSTTIME have also been expanded
185          * so that a->dmax is not leaking secret information.
186          *
187          * In other words, it's the caller's responsibility to ensure `a` has
188          * been preallocated in advance to a public length if we hit this
189          * branch.
190          *
191          */
192         return bn_num_bits_consttime(a);
193     }
194 
195     if (BN_is_zero(a))
196         return 0;
197 
198     return ((i * BN_BITS2) + BN_num_bits_word(a->d[i]));
199 }
200 
bn_free_d(BIGNUM * a,int clear)201 static void bn_free_d(BIGNUM *a, int clear)
202 {
203     if (BN_get_flags(a, BN_FLG_SECURE))
204         OPENSSL_secure_clear_free(a->d, a->dmax * sizeof(a->d[0]));
205     else if (clear != 0)
206         OPENSSL_clear_free(a->d, a->dmax * sizeof(a->d[0]));
207     else
208         OPENSSL_free(a->d);
209 }
210 
211 
BN_clear_free(BIGNUM * a)212 void BN_clear_free(BIGNUM *a)
213 {
214     if (a == NULL)
215         return;
216     if (a->d != NULL && !BN_get_flags(a, BN_FLG_STATIC_DATA))
217         bn_free_d(a, 1);
218     if (BN_get_flags(a, BN_FLG_MALLOCED)) {
219         OPENSSL_cleanse(a, sizeof(*a));
220         OPENSSL_free(a);
221     }
222 }
223 
BN_free(BIGNUM * a)224 void BN_free(BIGNUM *a)
225 {
226     if (a == NULL)
227         return;
228     if (!BN_get_flags(a, BN_FLG_STATIC_DATA))
229         bn_free_d(a, 0);
230     if (a->flags & BN_FLG_MALLOCED)
231         OPENSSL_free(a);
232 }
233 
bn_init(BIGNUM * a)234 void bn_init(BIGNUM *a)
235 {
236     static BIGNUM nilbn;
237 
238     *a = nilbn;
239     bn_check_top(a);
240 }
241 
BN_new(void)242 BIGNUM *BN_new(void)
243 {
244     BIGNUM *ret;
245 
246     if ((ret = OPENSSL_zalloc(sizeof(*ret))) == NULL) {
247         BNerr(BN_F_BN_NEW, ERR_R_MALLOC_FAILURE);
248         return NULL;
249     }
250     ret->flags = BN_FLG_MALLOCED;
251     bn_check_top(ret);
252     return ret;
253 }
254 
BN_secure_new(void)255  BIGNUM *BN_secure_new(void)
256  {
257      BIGNUM *ret = BN_new();
258      if (ret != NULL)
259          ret->flags |= BN_FLG_SECURE;
260      return ret;
261  }
262 
263 /* This is used by bn_expand2() */
264 /* The caller MUST check that words > b->dmax before calling this */
bn_expand_internal(const BIGNUM * b,int words)265 static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words)
266 {
267     BN_ULONG *a = NULL;
268 
269     if (words > (INT_MAX / (4 * BN_BITS2))) {
270         BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG);
271         return NULL;
272     }
273     if (BN_get_flags(b, BN_FLG_STATIC_DATA)) {
274         BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
275         return NULL;
276     }
277     if (BN_get_flags(b, BN_FLG_SECURE))
278         a = OPENSSL_secure_zalloc(words * sizeof(*a));
279     else
280         a = OPENSSL_zalloc(words * sizeof(*a));
281     if (a == NULL) {
282         BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE);
283         return NULL;
284     }
285 
286     assert(b->top <= words);
287     if (b->top > 0)
288         memcpy(a, b->d, sizeof(*a) * b->top);
289 
290     return a;
291 }
292 
293 /*
294  * This is an internal function that should not be used in applications. It
295  * ensures that 'b' has enough room for a 'words' word number and initialises
296  * any unused part of b->d with leading zeros. It is mostly used by the
297  * various BIGNUM routines. If there is an error, NULL is returned. If not,
298  * 'b' is returned.
299  */
300 
bn_expand2(BIGNUM * b,int words)301 BIGNUM *bn_expand2(BIGNUM *b, int words)
302 {
303     if (words > b->dmax) {
304         BN_ULONG *a = bn_expand_internal(b, words);
305         if (!a)
306             return NULL;
307         if (b->d != NULL)
308             bn_free_d(b, 1);
309         b->d = a;
310         b->dmax = words;
311     }
312 
313     return b;
314 }
315 
BN_dup(const BIGNUM * a)316 BIGNUM *BN_dup(const BIGNUM *a)
317 {
318     BIGNUM *t;
319 
320     if (a == NULL)
321         return NULL;
322     bn_check_top(a);
323 
324     t = BN_get_flags(a, BN_FLG_SECURE) ? BN_secure_new() : BN_new();
325     if (t == NULL)
326         return NULL;
327     if (!BN_copy(t, a)) {
328         BN_free(t);
329         return NULL;
330     }
331     bn_check_top(t);
332     return t;
333 }
334 
BN_copy(BIGNUM * a,const BIGNUM * b)335 BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b)
336 {
337     int bn_words;
338 
339     bn_check_top(b);
340 
341     bn_words = BN_get_flags(b, BN_FLG_CONSTTIME) ? b->dmax : b->top;
342 
343     if (a == b)
344         return a;
345     if (bn_wexpand(a, bn_words) == NULL)
346         return NULL;
347 
348     if (b->top > 0)
349         memcpy(a->d, b->d, sizeof(b->d[0]) * bn_words);
350 
351     a->neg = b->neg;
352     a->top = b->top;
353     a->flags |= b->flags & BN_FLG_FIXED_TOP;
354     bn_check_top(a);
355     return a;
356 }
357 
358 #define FLAGS_DATA(flags) ((flags) & (BN_FLG_STATIC_DATA \
359                                     | BN_FLG_CONSTTIME   \
360                                     | BN_FLG_SECURE      \
361                                     | BN_FLG_FIXED_TOP))
362 #define FLAGS_STRUCT(flags) ((flags) & (BN_FLG_MALLOCED))
363 
BN_swap(BIGNUM * a,BIGNUM * b)364 void BN_swap(BIGNUM *a, BIGNUM *b)
365 {
366     int flags_old_a, flags_old_b;
367     BN_ULONG *tmp_d;
368     int tmp_top, tmp_dmax, tmp_neg;
369 
370     bn_check_top(a);
371     bn_check_top(b);
372 
373     flags_old_a = a->flags;
374     flags_old_b = b->flags;
375 
376     tmp_d = a->d;
377     tmp_top = a->top;
378     tmp_dmax = a->dmax;
379     tmp_neg = a->neg;
380 
381     a->d = b->d;
382     a->top = b->top;
383     a->dmax = b->dmax;
384     a->neg = b->neg;
385 
386     b->d = tmp_d;
387     b->top = tmp_top;
388     b->dmax = tmp_dmax;
389     b->neg = tmp_neg;
390 
391     a->flags = FLAGS_STRUCT(flags_old_a) | FLAGS_DATA(flags_old_b);
392     b->flags = FLAGS_STRUCT(flags_old_b) | FLAGS_DATA(flags_old_a);
393     bn_check_top(a);
394     bn_check_top(b);
395 }
396 
BN_clear(BIGNUM * a)397 void BN_clear(BIGNUM *a)
398 {
399     if (a == NULL)
400         return;
401     bn_check_top(a);
402     if (a->d != NULL)
403         OPENSSL_cleanse(a->d, sizeof(*a->d) * a->dmax);
404     a->neg = 0;
405     a->top = 0;
406     a->flags &= ~BN_FLG_FIXED_TOP;
407 }
408 
BN_get_word(const BIGNUM * a)409 BN_ULONG BN_get_word(const BIGNUM *a)
410 {
411     if (a->top > 1)
412         return BN_MASK2;
413     else if (a->top == 1)
414         return a->d[0];
415     /* a->top == 0 */
416     return 0;
417 }
418 
BN_set_word(BIGNUM * a,BN_ULONG w)419 int BN_set_word(BIGNUM *a, BN_ULONG w)
420 {
421     bn_check_top(a);
422     if (bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL)
423         return 0;
424     a->neg = 0;
425     a->d[0] = w;
426     a->top = (w ? 1 : 0);
427     a->flags &= ~BN_FLG_FIXED_TOP;
428     bn_check_top(a);
429     return 1;
430 }
431 
BN_bin2bn(const unsigned char * s,int len,BIGNUM * ret)432 BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret)
433 {
434     unsigned int i, m;
435     unsigned int n;
436     BN_ULONG l;
437     BIGNUM *bn = NULL;
438 
439     if (ret == NULL)
440         ret = bn = BN_new();
441     if (ret == NULL)
442         return NULL;
443     bn_check_top(ret);
444     /* Skip leading zero's. */
445     for ( ; len > 0 && *s == 0; s++, len--)
446         continue;
447     n = len;
448     if (n == 0) {
449         ret->top = 0;
450         return ret;
451     }
452     i = ((n - 1) / BN_BYTES) + 1;
453     m = ((n - 1) % (BN_BYTES));
454     if (bn_wexpand(ret, (int)i) == NULL) {
455         BN_free(bn);
456         return NULL;
457     }
458     ret->top = i;
459     ret->neg = 0;
460     l = 0;
461     while (n--) {
462         l = (l << 8L) | *(s++);
463         if (m-- == 0) {
464             ret->d[--i] = l;
465             l = 0;
466             m = BN_BYTES - 1;
467         }
468     }
469     /*
470      * need to call this due to clear byte at top if avoiding having the top
471      * bit set (-ve number)
472      */
473     bn_correct_top(ret);
474     return ret;
475 }
476 
477 typedef enum {big, little} endianess_t;
478 
479 /* ignore negative */
480 static
bn2binpad(const BIGNUM * a,unsigned char * to,int tolen,endianess_t endianess)481 int bn2binpad(const BIGNUM *a, unsigned char *to, int tolen, endianess_t endianess)
482 {
483     int n;
484     size_t i, lasti, j, atop, mask;
485     BN_ULONG l;
486 
487     /*
488      * In case |a| is fixed-top, BN_num_bytes can return bogus length,
489      * but it's assumed that fixed-top inputs ought to be "nominated"
490      * even for padded output, so it works out...
491      */
492     n = BN_num_bytes(a);
493     if (tolen == -1) {
494         tolen = n;
495     } else if (tolen < n) {     /* uncommon/unlike case */
496         BIGNUM temp = *a;
497 
498         bn_correct_top(&temp);
499         n = BN_num_bytes(&temp);
500         if (tolen < n)
501             return -1;
502     }
503 
504     /* Swipe through whole available data and don't give away padded zero. */
505     atop = a->dmax * BN_BYTES;
506     if (atop == 0) {
507         OPENSSL_cleanse(to, tolen);
508         return tolen;
509     }
510 
511     lasti = atop - 1;
512     atop = a->top * BN_BYTES;
513     if (endianess == big)
514         to += tolen; /* start from the end of the buffer */
515     for (i = 0, j = 0; j < (size_t)tolen; j++) {
516         unsigned char val;
517         l = a->d[i / BN_BYTES];
518         mask = 0 - ((j - atop) >> (8 * sizeof(i) - 1));
519         val = (unsigned char)(l >> (8 * (i % BN_BYTES)) & mask);
520         if (endianess == big)
521             *--to = val;
522         else
523             *to++ = val;
524         i += (i - lasti) >> (8 * sizeof(i) - 1); /* stay on last limb */
525     }
526 
527     return tolen;
528 }
529 
BN_bn2binpad(const BIGNUM * a,unsigned char * to,int tolen)530 int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen)
531 {
532     if (tolen < 0)
533         return -1;
534     return bn2binpad(a, to, tolen, big);
535 }
536 
BN_bn2bin(const BIGNUM * a,unsigned char * to)537 int BN_bn2bin(const BIGNUM *a, unsigned char *to)
538 {
539     return bn2binpad(a, to, -1, big);
540 }
541 
BN_lebin2bn(const unsigned char * s,int len,BIGNUM * ret)542 BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret)
543 {
544     unsigned int i, m;
545     unsigned int n;
546     BN_ULONG l;
547     BIGNUM *bn = NULL;
548 
549     if (ret == NULL)
550         ret = bn = BN_new();
551     if (ret == NULL)
552         return NULL;
553     bn_check_top(ret);
554     s += len;
555     /* Skip trailing zeroes. */
556     for ( ; len > 0 && s[-1] == 0; s--, len--)
557         continue;
558     n = len;
559     if (n == 0) {
560         ret->top = 0;
561         return ret;
562     }
563     i = ((n - 1) / BN_BYTES) + 1;
564     m = ((n - 1) % (BN_BYTES));
565     if (bn_wexpand(ret, (int)i) == NULL) {
566         BN_free(bn);
567         return NULL;
568     }
569     ret->top = i;
570     ret->neg = 0;
571     l = 0;
572     while (n--) {
573         s--;
574         l = (l << 8L) | *s;
575         if (m-- == 0) {
576             ret->d[--i] = l;
577             l = 0;
578             m = BN_BYTES - 1;
579         }
580     }
581     /*
582      * need to call this due to clear byte at top if avoiding having the top
583      * bit set (-ve number)
584      */
585     bn_correct_top(ret);
586     return ret;
587 }
588 
BN_bn2lebinpad(const BIGNUM * a,unsigned char * to,int tolen)589 int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen)
590 {
591     if (tolen < 0)
592         return -1;
593     return bn2binpad(a, to, tolen, little);
594 }
595 
BN_ucmp(const BIGNUM * a,const BIGNUM * b)596 int BN_ucmp(const BIGNUM *a, const BIGNUM *b)
597 {
598     int i;
599     BN_ULONG t1, t2, *ap, *bp;
600 
601     bn_check_top(a);
602     bn_check_top(b);
603 
604     i = a->top - b->top;
605     if (i != 0)
606         return i;
607     ap = a->d;
608     bp = b->d;
609     for (i = a->top - 1; i >= 0; i--) {
610         t1 = ap[i];
611         t2 = bp[i];
612         if (t1 != t2)
613             return ((t1 > t2) ? 1 : -1);
614     }
615     return 0;
616 }
617 
BN_cmp(const BIGNUM * a,const BIGNUM * b)618 int BN_cmp(const BIGNUM *a, const BIGNUM *b)
619 {
620     int i;
621     int gt, lt;
622     BN_ULONG t1, t2;
623 
624     if ((a == NULL) || (b == NULL)) {
625         if (a != NULL)
626             return -1;
627         else if (b != NULL)
628             return 1;
629         else
630             return 0;
631     }
632 
633     bn_check_top(a);
634     bn_check_top(b);
635 
636     if (a->neg != b->neg) {
637         if (a->neg)
638             return -1;
639         else
640             return 1;
641     }
642     if (a->neg == 0) {
643         gt = 1;
644         lt = -1;
645     } else {
646         gt = -1;
647         lt = 1;
648     }
649 
650     if (a->top > b->top)
651         return gt;
652     if (a->top < b->top)
653         return lt;
654     for (i = a->top - 1; i >= 0; i--) {
655         t1 = a->d[i];
656         t2 = b->d[i];
657         if (t1 > t2)
658             return gt;
659         if (t1 < t2)
660             return lt;
661     }
662     return 0;
663 }
664 
BN_set_bit(BIGNUM * a,int n)665 int BN_set_bit(BIGNUM *a, int n)
666 {
667     int i, j, k;
668 
669     if (n < 0)
670         return 0;
671 
672     i = n / BN_BITS2;
673     j = n % BN_BITS2;
674     if (a->top <= i) {
675         if (bn_wexpand(a, i + 1) == NULL)
676             return 0;
677         for (k = a->top; k < i + 1; k++)
678             a->d[k] = 0;
679         a->top = i + 1;
680         a->flags &= ~BN_FLG_FIXED_TOP;
681     }
682 
683     a->d[i] |= (((BN_ULONG)1) << j);
684     bn_check_top(a);
685     return 1;
686 }
687 
BN_clear_bit(BIGNUM * a,int n)688 int BN_clear_bit(BIGNUM *a, int n)
689 {
690     int i, j;
691 
692     bn_check_top(a);
693     if (n < 0)
694         return 0;
695 
696     i = n / BN_BITS2;
697     j = n % BN_BITS2;
698     if (a->top <= i)
699         return 0;
700 
701     a->d[i] &= (~(((BN_ULONG)1) << j));
702     bn_correct_top(a);
703     return 1;
704 }
705 
BN_is_bit_set(const BIGNUM * a,int n)706 int BN_is_bit_set(const BIGNUM *a, int n)
707 {
708     int i, j;
709 
710     bn_check_top(a);
711     if (n < 0)
712         return 0;
713     i = n / BN_BITS2;
714     j = n % BN_BITS2;
715     if (a->top <= i)
716         return 0;
717     return (int)(((a->d[i]) >> j) & ((BN_ULONG)1));
718 }
719 
BN_mask_bits(BIGNUM * a,int n)720 int BN_mask_bits(BIGNUM *a, int n)
721 {
722     int b, w;
723 
724     bn_check_top(a);
725     if (n < 0)
726         return 0;
727 
728     w = n / BN_BITS2;
729     b = n % BN_BITS2;
730     if (w >= a->top)
731         return 0;
732     if (b == 0)
733         a->top = w;
734     else {
735         a->top = w + 1;
736         a->d[w] &= ~(BN_MASK2 << b);
737     }
738     bn_correct_top(a);
739     return 1;
740 }
741 
BN_set_negative(BIGNUM * a,int b)742 void BN_set_negative(BIGNUM *a, int b)
743 {
744     if (b && !BN_is_zero(a))
745         a->neg = 1;
746     else
747         a->neg = 0;
748 }
749 
bn_cmp_words(const BN_ULONG * a,const BN_ULONG * b,int n)750 int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n)
751 {
752     int i;
753     BN_ULONG aa, bb;
754 
755     if (n == 0)
756         return 0;
757 
758     aa = a[n - 1];
759     bb = b[n - 1];
760     if (aa != bb)
761         return ((aa > bb) ? 1 : -1);
762     for (i = n - 2; i >= 0; i--) {
763         aa = a[i];
764         bb = b[i];
765         if (aa != bb)
766             return ((aa > bb) ? 1 : -1);
767     }
768     return 0;
769 }
770 
771 /*
772  * Here follows a specialised variants of bn_cmp_words().  It has the
773  * capability of performing the operation on arrays of different sizes. The
774  * sizes of those arrays is expressed through cl, which is the common length
775  * ( basically, min(len(a),len(b)) ), and dl, which is the delta between the
776  * two lengths, calculated as len(a)-len(b). All lengths are the number of
777  * BN_ULONGs...
778  */
779 
bn_cmp_part_words(const BN_ULONG * a,const BN_ULONG * b,int cl,int dl)780 int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl)
781 {
782     int n, i;
783     n = cl - 1;
784 
785     if (dl < 0) {
786         for (i = dl; i < 0; i++) {
787             if (b[n - i] != 0)
788                 return -1;      /* a < b */
789         }
790     }
791     if (dl > 0) {
792         for (i = dl; i > 0; i--) {
793             if (a[n + i] != 0)
794                 return 1;       /* a > b */
795         }
796     }
797     return bn_cmp_words(a, b, cl);
798 }
799 
800 /*-
801  * Constant-time conditional swap of a and b.
802  * a and b are swapped if condition is not 0.
803  * nwords is the number of words to swap.
804  * Assumes that at least nwords are allocated in both a and b.
805  * Assumes that no more than nwords are used by either a or b.
806  */
BN_consttime_swap(BN_ULONG condition,BIGNUM * a,BIGNUM * b,int nwords)807 void BN_consttime_swap(BN_ULONG condition, BIGNUM *a, BIGNUM *b, int nwords)
808 {
809     BN_ULONG t;
810     int i;
811 
812     if (a == b)
813         return;
814 
815     bn_wcheck_size(a, nwords);
816     bn_wcheck_size(b, nwords);
817 
818     condition = ((~condition & ((condition - 1))) >> (BN_BITS2 - 1)) - 1;
819 
820     t = (a->top ^ b->top) & condition;
821     a->top ^= t;
822     b->top ^= t;
823 
824     t = (a->neg ^ b->neg) & condition;
825     a->neg ^= t;
826     b->neg ^= t;
827 
828     /*-
829      * BN_FLG_STATIC_DATA: indicates that data may not be written to. Intention
830      * is actually to treat it as it's read-only data, and some (if not most)
831      * of it does reside in read-only segment. In other words observation of
832      * BN_FLG_STATIC_DATA in BN_consttime_swap should be treated as fatal
833      * condition. It would either cause SEGV or effectively cause data
834      * corruption.
835      *
836      * BN_FLG_MALLOCED: refers to BN structure itself, and hence must be
837      * preserved.
838      *
839      * BN_FLG_SECURE: must be preserved, because it determines how x->d was
840      * allocated and hence how to free it.
841      *
842      * BN_FLG_CONSTTIME: sufficient to mask and swap
843      *
844      * BN_FLG_FIXED_TOP: indicates that we haven't called bn_correct_top() on
845      * the data, so the d array may be padded with additional 0 values (i.e.
846      * top could be greater than the minimal value that it could be). We should
847      * be swapping it
848      */
849 
850 #define BN_CONSTTIME_SWAP_FLAGS (BN_FLG_CONSTTIME | BN_FLG_FIXED_TOP)
851 
852     t = ((a->flags ^ b->flags) & BN_CONSTTIME_SWAP_FLAGS) & condition;
853     a->flags ^= t;
854     b->flags ^= t;
855 
856     /* conditionally swap the data */
857     for (i = 0; i < nwords; i++) {
858         t = (a->d[i] ^ b->d[i]) & condition;
859         a->d[i] ^= t;
860         b->d[i] ^= t;
861     }
862 }
863 
864 #undef BN_CONSTTIME_SWAP_FLAGS
865 
866 /* Bits of security, see SP800-57 */
867 
BN_security_bits(int L,int N)868 int BN_security_bits(int L, int N)
869 {
870     int secbits, bits;
871     if (L >= 15360)
872         secbits = 256;
873     else if (L >= 7680)
874         secbits = 192;
875     else if (L >= 3072)
876         secbits = 128;
877     else if (L >= 2048)
878         secbits = 112;
879     else if (L >= 1024)
880         secbits = 80;
881     else
882         return 0;
883     if (N == -1)
884         return secbits;
885     bits = N / 2;
886     if (bits < 80)
887         return 0;
888     return bits >= secbits ? secbits : bits;
889 }
890 
BN_zero_ex(BIGNUM * a)891 void BN_zero_ex(BIGNUM *a)
892 {
893     a->neg = 0;
894     a->top = 0;
895     a->flags &= ~BN_FLG_FIXED_TOP;
896 }
897 
BN_abs_is_word(const BIGNUM * a,const BN_ULONG w)898 int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w)
899 {
900     return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0));
901 }
902 
BN_is_zero(const BIGNUM * a)903 int BN_is_zero(const BIGNUM *a)
904 {
905     return a->top == 0;
906 }
907 
BN_is_one(const BIGNUM * a)908 int BN_is_one(const BIGNUM *a)
909 {
910     return BN_abs_is_word(a, 1) && !a->neg;
911 }
912 
BN_is_word(const BIGNUM * a,const BN_ULONG w)913 int BN_is_word(const BIGNUM *a, const BN_ULONG w)
914 {
915     return BN_abs_is_word(a, w) && (!w || !a->neg);
916 }
917 
BN_is_odd(const BIGNUM * a)918 int BN_is_odd(const BIGNUM *a)
919 {
920     return (a->top > 0) && (a->d[0] & 1);
921 }
922 
BN_is_negative(const BIGNUM * a)923 int BN_is_negative(const BIGNUM *a)
924 {
925     return (a->neg != 0);
926 }
927 
BN_to_montgomery(BIGNUM * r,const BIGNUM * a,BN_MONT_CTX * mont,BN_CTX * ctx)928 int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
929                      BN_CTX *ctx)
930 {
931     return BN_mod_mul_montgomery(r, a, &(mont->RR), mont, ctx);
932 }
933 
BN_with_flags(BIGNUM * dest,const BIGNUM * b,int flags)934 void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags)
935 {
936     dest->d = b->d;
937     dest->top = b->top;
938     dest->dmax = b->dmax;
939     dest->neg = b->neg;
940     dest->flags = ((dest->flags & BN_FLG_MALLOCED)
941                    | (b->flags & ~BN_FLG_MALLOCED)
942                    | BN_FLG_STATIC_DATA | flags);
943 }
944 
BN_GENCB_new(void)945 BN_GENCB *BN_GENCB_new(void)
946 {
947     BN_GENCB *ret;
948 
949     if ((ret = OPENSSL_malloc(sizeof(*ret))) == NULL) {
950         BNerr(BN_F_BN_GENCB_NEW, ERR_R_MALLOC_FAILURE);
951         return NULL;
952     }
953 
954     return ret;
955 }
956 
BN_GENCB_free(BN_GENCB * cb)957 void BN_GENCB_free(BN_GENCB *cb)
958 {
959     if (cb == NULL)
960         return;
961     OPENSSL_free(cb);
962 }
963 
BN_set_flags(BIGNUM * b,int n)964 void BN_set_flags(BIGNUM *b, int n)
965 {
966     b->flags |= n;
967 }
968 
BN_get_flags(const BIGNUM * b,int n)969 int BN_get_flags(const BIGNUM *b, int n)
970 {
971     return b->flags & n;
972 }
973 
974 /* Populate a BN_GENCB structure with an "old"-style callback */
BN_GENCB_set_old(BN_GENCB * gencb,void (* callback)(int,int,void *),void * cb_arg)975 void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *),
976                       void *cb_arg)
977 {
978     BN_GENCB *tmp_gencb = gencb;
979     tmp_gencb->ver = 1;
980     tmp_gencb->arg = cb_arg;
981     tmp_gencb->cb.cb_1 = callback;
982 }
983 
984 /* Populate a BN_GENCB structure with a "new"-style callback */
BN_GENCB_set(BN_GENCB * gencb,int (* callback)(int,int,BN_GENCB *),void * cb_arg)985 void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *),
986                   void *cb_arg)
987 {
988     BN_GENCB *tmp_gencb = gencb;
989     tmp_gencb->ver = 2;
990     tmp_gencb->arg = cb_arg;
991     tmp_gencb->cb.cb_2 = callback;
992 }
993 
BN_GENCB_get_arg(BN_GENCB * cb)994 void *BN_GENCB_get_arg(BN_GENCB *cb)
995 {
996     return cb->arg;
997 }
998 
bn_wexpand(BIGNUM * a,int words)999 BIGNUM *bn_wexpand(BIGNUM *a, int words)
1000 {
1001     return (words <= a->dmax) ? a : bn_expand2(a, words);
1002 }
1003 
bn_correct_top(BIGNUM * a)1004 void bn_correct_top(BIGNUM *a)
1005 {
1006     BN_ULONG *ftl;
1007     int tmp_top = a->top;
1008 
1009     if (tmp_top > 0) {
1010         for (ftl = &(a->d[tmp_top]); tmp_top > 0; tmp_top--) {
1011             ftl--;
1012             if (*ftl != 0)
1013                 break;
1014         }
1015         a->top = tmp_top;
1016     }
1017     if (a->top == 0)
1018         a->neg = 0;
1019     a->flags &= ~BN_FLG_FIXED_TOP;
1020     bn_pollute(a);
1021 }
1022