/src/openssl111/crypto/bn/bn_lib.c
Line | Count | Source (jump to first uncovered line) |
1 | | /* |
2 | | * Copyright 1995-2023 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 | | |
38 | | void BN_set_params(int mult, int high, int low, int mont) |
39 | 0 | { |
40 | 0 | if (mult >= 0) { |
41 | 0 | if (mult > (int)(sizeof(int) * 8) - 1) |
42 | 0 | mult = sizeof(int) * 8 - 1; |
43 | 0 | bn_limit_bits = mult; |
44 | 0 | bn_limit_num = 1 << mult; |
45 | 0 | } |
46 | 0 | if (high >= 0) { |
47 | 0 | if (high > (int)(sizeof(int) * 8) - 1) |
48 | 0 | high = sizeof(int) * 8 - 1; |
49 | 0 | bn_limit_bits_high = high; |
50 | 0 | bn_limit_num_high = 1 << high; |
51 | 0 | } |
52 | 0 | if (low >= 0) { |
53 | 0 | if (low > (int)(sizeof(int) * 8) - 1) |
54 | 0 | low = sizeof(int) * 8 - 1; |
55 | 0 | bn_limit_bits_low = low; |
56 | 0 | bn_limit_num_low = 1 << low; |
57 | 0 | } |
58 | 0 | if (mont >= 0) { |
59 | 0 | if (mont > (int)(sizeof(int) * 8) - 1) |
60 | 0 | mont = sizeof(int) * 8 - 1; |
61 | 0 | bn_limit_bits_mont = mont; |
62 | 0 | bn_limit_num_mont = 1 << mont; |
63 | 0 | } |
64 | 0 | } |
65 | | |
66 | | int BN_get_params(int which) |
67 | 0 | { |
68 | 0 | if (which == 0) |
69 | 0 | return bn_limit_bits; |
70 | 0 | else if (which == 1) |
71 | 0 | return bn_limit_bits_high; |
72 | 0 | else if (which == 2) |
73 | 0 | return bn_limit_bits_low; |
74 | 0 | else if (which == 3) |
75 | 0 | return bn_limit_bits_mont; |
76 | 0 | else |
77 | 0 | return 0; |
78 | 0 | } |
79 | | #endif |
80 | | |
81 | | const BIGNUM *BN_value_one(void) |
82 | 825 | { |
83 | 825 | static const BN_ULONG data_one = 1L; |
84 | 825 | static const BIGNUM const_one = |
85 | 825 | { (BN_ULONG *)&data_one, 1, 1, 0, BN_FLG_STATIC_DATA }; |
86 | | |
87 | 825 | return &const_one; |
88 | 825 | } |
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 |
99 | | int BN_num_bits_word(BN_ULONG l) |
100 | 413k | { |
101 | 413k | BN_ULONG x, mask; |
102 | 413k | int bits = (l != 0); |
103 | | |
104 | 413k | #if BN_BITS2 > 32 |
105 | 413k | x = l >> 32; |
106 | 413k | mask = (0 - x) & BN_MASK2; |
107 | 413k | mask = (0 - (mask >> (BN_BITS2 - 1))); |
108 | 413k | bits += 32 & mask; |
109 | 413k | l ^= (x ^ l) & mask; |
110 | 413k | #endif |
111 | | |
112 | 413k | x = l >> 16; |
113 | 413k | mask = (0 - x) & BN_MASK2; |
114 | 413k | mask = (0 - (mask >> (BN_BITS2 - 1))); |
115 | 413k | bits += 16 & mask; |
116 | 413k | l ^= (x ^ l) & mask; |
117 | | |
118 | 413k | x = l >> 8; |
119 | 413k | mask = (0 - x) & BN_MASK2; |
120 | 413k | mask = (0 - (mask >> (BN_BITS2 - 1))); |
121 | 413k | bits += 8 & mask; |
122 | 413k | l ^= (x ^ l) & mask; |
123 | | |
124 | 413k | x = l >> 4; |
125 | 413k | mask = (0 - x) & BN_MASK2; |
126 | 413k | mask = (0 - (mask >> (BN_BITS2 - 1))); |
127 | 413k | bits += 4 & mask; |
128 | 413k | l ^= (x ^ l) & mask; |
129 | | |
130 | 413k | x = l >> 2; |
131 | 413k | mask = (0 - x) & BN_MASK2; |
132 | 413k | mask = (0 - (mask >> (BN_BITS2 - 1))); |
133 | 413k | bits += 2 & mask; |
134 | 413k | l ^= (x ^ l) & mask; |
135 | | |
136 | 413k | x = l >> 1; |
137 | 413k | mask = (0 - x) & BN_MASK2; |
138 | 413k | mask = (0 - (mask >> (BN_BITS2 - 1))); |
139 | 413k | bits += 1 & mask; |
140 | | |
141 | 413k | return bits; |
142 | 413k | } |
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 |
152 | | int bn_num_bits_consttime(const BIGNUM *a) |
153 | 0 | { |
154 | 0 | int j, ret; |
155 | 0 | unsigned int mask, past_i; |
156 | 0 | int i = a->top - 1; |
157 | 0 | bn_check_top(a); |
158 | |
|
159 | 0 | for (j = 0, past_i = 0, ret = 0; j < a->dmax; j++) { |
160 | 0 | mask = constant_time_eq_int(i, j); /* 0xff..ff if i==j, 0x0 otherwise */ |
161 | |
|
162 | 0 | ret += BN_BITS2 & (~mask & ~past_i); |
163 | 0 | ret += BN_num_bits_word(a->d[j]) & mask; |
164 | |
|
165 | 0 | past_i |= mask; /* past_i will become 0xff..ff after i==j */ |
166 | 0 | } |
167 | | |
168 | | /* |
169 | | * if BN_is_zero(a) => i is -1 and ret contains garbage, so we mask the |
170 | | * final result. |
171 | | */ |
172 | 0 | mask = ~(constant_time_eq_int(i, ((int)-1))); |
173 | |
|
174 | 0 | return ret & mask; |
175 | 0 | } |
176 | | |
177 | | int BN_num_bits(const BIGNUM *a) |
178 | 103k | { |
179 | 103k | int i = a->top - 1; |
180 | 103k | bn_check_top(a); |
181 | | |
182 | 103k | 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 | 0 | return bn_num_bits_consttime(a); |
193 | 0 | } |
194 | | |
195 | 103k | if (BN_is_zero(a)) |
196 | 348 | return 0; |
197 | | |
198 | 103k | return ((i * BN_BITS2) + BN_num_bits_word(a->d[i])); |
199 | 103k | } |
200 | | |
201 | | static void bn_free_d(BIGNUM *a, int clear) |
202 | 117k | { |
203 | 117k | if (BN_get_flags(a, BN_FLG_SECURE)) |
204 | 0 | OPENSSL_secure_clear_free(a->d, a->dmax * sizeof(a->d[0])); |
205 | 117k | else if (clear != 0) |
206 | 97.1k | OPENSSL_clear_free(a->d, a->dmax * sizeof(a->d[0])); |
207 | 19.9k | else |
208 | 19.9k | OPENSSL_free(a->d); |
209 | 117k | } |
210 | | |
211 | | |
212 | | void BN_clear_free(BIGNUM *a) |
213 | 43.8k | { |
214 | 43.8k | if (a == NULL) |
215 | 0 | return; |
216 | 43.8k | if (a->d != NULL && !BN_get_flags(a, BN_FLG_STATIC_DATA)) |
217 | 42.3k | bn_free_d(a, 1); |
218 | 43.8k | if (BN_get_flags(a, BN_FLG_MALLOCED)) { |
219 | 0 | OPENSSL_cleanse(a, sizeof(*a)); |
220 | 0 | OPENSSL_free(a); |
221 | 0 | } |
222 | 43.8k | } |
223 | | |
224 | | void BN_free(BIGNUM *a) |
225 | 19.9k | { |
226 | 19.9k | if (a == NULL) |
227 | 0 | return; |
228 | 19.9k | if (!BN_get_flags(a, BN_FLG_STATIC_DATA)) |
229 | 19.9k | bn_free_d(a, 0); |
230 | 19.9k | if (a->flags & BN_FLG_MALLOCED) |
231 | 16.6k | OPENSSL_free(a); |
232 | 19.9k | } |
233 | | |
234 | | void bn_init(BIGNUM *a) |
235 | 61.4k | { |
236 | 61.4k | static BIGNUM nilbn; |
237 | | |
238 | 61.4k | *a = nilbn; |
239 | 61.4k | bn_check_top(a); |
240 | 61.4k | } |
241 | | |
242 | | BIGNUM *BN_new(void) |
243 | 16.6k | { |
244 | 16.6k | BIGNUM *ret; |
245 | | |
246 | 16.6k | if ((ret = OPENSSL_zalloc(sizeof(*ret))) == NULL) { |
247 | 0 | BNerr(BN_F_BN_NEW, ERR_R_MALLOC_FAILURE); |
248 | 0 | return NULL; |
249 | 0 | } |
250 | 16.6k | ret->flags = BN_FLG_MALLOCED; |
251 | 16.6k | bn_check_top(ret); |
252 | 16.6k | return ret; |
253 | 16.6k | } |
254 | | |
255 | | BIGNUM *BN_secure_new(void) |
256 | 0 | { |
257 | 0 | BIGNUM *ret = BN_new(); |
258 | 0 | if (ret != NULL) |
259 | 0 | ret->flags |= BN_FLG_SECURE; |
260 | 0 | return ret; |
261 | 0 | } |
262 | | |
263 | | /* This is used by bn_expand2() */ |
264 | | /* The caller MUST check that words > b->dmax before calling this */ |
265 | | static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words) |
266 | 115k | { |
267 | 115k | BN_ULONG *a = NULL; |
268 | | |
269 | 115k | if (words > (INT_MAX / (4 * BN_BITS2))) { |
270 | 0 | BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_BIGNUM_TOO_LONG); |
271 | 0 | return NULL; |
272 | 0 | } |
273 | 115k | if (BN_get_flags(b, BN_FLG_STATIC_DATA)) { |
274 | 0 | BNerr(BN_F_BN_EXPAND_INTERNAL, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA); |
275 | 0 | return NULL; |
276 | 0 | } |
277 | 115k | if (BN_get_flags(b, BN_FLG_SECURE)) |
278 | 0 | a = OPENSSL_secure_zalloc(words * sizeof(*a)); |
279 | 115k | else |
280 | 115k | a = OPENSSL_zalloc(words * sizeof(*a)); |
281 | 115k | if (a == NULL) { |
282 | 0 | BNerr(BN_F_BN_EXPAND_INTERNAL, ERR_R_MALLOC_FAILURE); |
283 | 0 | return NULL; |
284 | 0 | } |
285 | | |
286 | 115k | assert(b->top <= words); |
287 | 115k | if (b->top > 0) |
288 | 10.7k | memcpy(a, b->d, sizeof(*a) * b->top); |
289 | | |
290 | 115k | return a; |
291 | 115k | } |
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 | | |
301 | | BIGNUM *bn_expand2(BIGNUM *b, int words) |
302 | 115k | { |
303 | 115k | if (words > b->dmax) { |
304 | 115k | BN_ULONG *a = bn_expand_internal(b, words); |
305 | 115k | if (!a) |
306 | 0 | return NULL; |
307 | 115k | if (b->d != NULL) |
308 | 54.7k | bn_free_d(b, 1); |
309 | 115k | b->d = a; |
310 | 115k | b->dmax = words; |
311 | 115k | } |
312 | | |
313 | 115k | return b; |
314 | 115k | } |
315 | | |
316 | | BIGNUM *BN_dup(const BIGNUM *a) |
317 | 0 | { |
318 | 0 | BIGNUM *t; |
319 | |
|
320 | 0 | if (a == NULL) |
321 | 0 | return NULL; |
322 | 0 | bn_check_top(a); |
323 | |
|
324 | 0 | t = BN_get_flags(a, BN_FLG_SECURE) ? BN_secure_new() : BN_new(); |
325 | 0 | if (t == NULL) |
326 | 0 | return NULL; |
327 | 0 | if (!BN_copy(t, a)) { |
328 | 0 | BN_free(t); |
329 | 0 | return NULL; |
330 | 0 | } |
331 | 0 | bn_check_top(t); |
332 | 0 | return t; |
333 | 0 | } |
334 | | |
335 | | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b) |
336 | 257k | { |
337 | 257k | int bn_words; |
338 | | |
339 | 257k | bn_check_top(b); |
340 | | |
341 | 257k | bn_words = BN_get_flags(b, BN_FLG_CONSTTIME) ? b->dmax : b->top; |
342 | | |
343 | 257k | if (a == b) |
344 | 0 | return a; |
345 | 257k | if (bn_wexpand(a, bn_words) == NULL) |
346 | 0 | return NULL; |
347 | | |
348 | 257k | if (b->top > 0) |
349 | 252k | memcpy(a->d, b->d, sizeof(b->d[0]) * bn_words); |
350 | | |
351 | 257k | a->neg = b->neg; |
352 | 257k | a->top = b->top; |
353 | 257k | a->flags |= b->flags & BN_FLG_FIXED_TOP; |
354 | 257k | bn_check_top(a); |
355 | 257k | return a; |
356 | 257k | } |
357 | | |
358 | 0 | #define FLAGS_DATA(flags) ((flags) & (BN_FLG_STATIC_DATA \ |
359 | 0 | | BN_FLG_CONSTTIME \ |
360 | 0 | | BN_FLG_SECURE \ |
361 | 0 | | BN_FLG_FIXED_TOP)) |
362 | 0 | #define FLAGS_STRUCT(flags) ((flags) & (BN_FLG_MALLOCED)) |
363 | | |
364 | | void BN_swap(BIGNUM *a, BIGNUM *b) |
365 | 0 | { |
366 | 0 | int flags_old_a, flags_old_b; |
367 | 0 | BN_ULONG *tmp_d; |
368 | 0 | int tmp_top, tmp_dmax, tmp_neg; |
369 | |
|
370 | 0 | bn_check_top(a); |
371 | 0 | bn_check_top(b); |
372 | |
|
373 | 0 | flags_old_a = a->flags; |
374 | 0 | flags_old_b = b->flags; |
375 | |
|
376 | 0 | tmp_d = a->d; |
377 | 0 | tmp_top = a->top; |
378 | 0 | tmp_dmax = a->dmax; |
379 | 0 | tmp_neg = a->neg; |
380 | |
|
381 | 0 | a->d = b->d; |
382 | 0 | a->top = b->top; |
383 | 0 | a->dmax = b->dmax; |
384 | 0 | a->neg = b->neg; |
385 | |
|
386 | 0 | b->d = tmp_d; |
387 | 0 | b->top = tmp_top; |
388 | 0 | b->dmax = tmp_dmax; |
389 | 0 | b->neg = tmp_neg; |
390 | |
|
391 | 0 | a->flags = FLAGS_STRUCT(flags_old_a) | FLAGS_DATA(flags_old_b); |
392 | 0 | b->flags = FLAGS_STRUCT(flags_old_b) | FLAGS_DATA(flags_old_a); |
393 | 0 | bn_check_top(a); |
394 | 0 | bn_check_top(b); |
395 | 0 | } |
396 | | |
397 | | void BN_clear(BIGNUM *a) |
398 | 0 | { |
399 | 0 | if (a == NULL) |
400 | 0 | return; |
401 | 0 | bn_check_top(a); |
402 | 0 | if (a->d != NULL) |
403 | 0 | OPENSSL_cleanse(a->d, sizeof(*a->d) * a->dmax); |
404 | 0 | a->neg = 0; |
405 | 0 | a->top = 0; |
406 | 0 | a->flags &= ~BN_FLG_FIXED_TOP; |
407 | 0 | } |
408 | | |
409 | | BN_ULONG BN_get_word(const BIGNUM *a) |
410 | 0 | { |
411 | 0 | if (a->top > 1) |
412 | 0 | return BN_MASK2; |
413 | 0 | else if (a->top == 1) |
414 | 0 | return a->d[0]; |
415 | | /* a->top == 0 */ |
416 | 0 | return 0; |
417 | 0 | } |
418 | | |
419 | | int BN_set_word(BIGNUM *a, BN_ULONG w) |
420 | 2.25M | { |
421 | 2.25M | bn_check_top(a); |
422 | 2.25M | if (bn_expand(a, (int)sizeof(BN_ULONG) * 8) == NULL) |
423 | 0 | return 0; |
424 | 2.25M | a->neg = 0; |
425 | 2.25M | a->d[0] = w; |
426 | 2.25M | a->top = (w ? 1 : 0); |
427 | 2.25M | a->flags &= ~BN_FLG_FIXED_TOP; |
428 | 2.25M | bn_check_top(a); |
429 | 2.25M | return 1; |
430 | 2.25M | } |
431 | | |
432 | | BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret) |
433 | 9.98k | { |
434 | 9.98k | unsigned int i, m; |
435 | 9.98k | unsigned int n; |
436 | 9.98k | BN_ULONG l; |
437 | 9.98k | BIGNUM *bn = NULL; |
438 | | |
439 | 9.98k | if (ret == NULL) |
440 | 0 | ret = bn = BN_new(); |
441 | 9.98k | if (ret == NULL) |
442 | 0 | return NULL; |
443 | 9.98k | bn_check_top(ret); |
444 | | /* Skip leading zero's. */ |
445 | 10.3k | for ( ; len > 0 && *s == 0; s++, len--) |
446 | 335 | continue; |
447 | 9.98k | n = len; |
448 | 9.98k | if (n == 0) { |
449 | 1.20k | ret->top = 0; |
450 | 1.20k | return ret; |
451 | 1.20k | } |
452 | 8.77k | i = ((n - 1) / BN_BYTES) + 1; |
453 | 8.77k | m = ((n - 1) % (BN_BYTES)); |
454 | 8.77k | if (bn_wexpand(ret, (int)i) == NULL) { |
455 | 0 | BN_free(bn); |
456 | 0 | return NULL; |
457 | 0 | } |
458 | 8.77k | ret->top = i; |
459 | 8.77k | ret->neg = 0; |
460 | 8.77k | l = 0; |
461 | 385k | while (n--) { |
462 | 376k | l = (l << 8L) | *(s++); |
463 | 376k | if (m-- == 0) { |
464 | 53.1k | ret->d[--i] = l; |
465 | 53.1k | l = 0; |
466 | 53.1k | m = BN_BYTES - 1; |
467 | 53.1k | } |
468 | 376k | } |
469 | | /* |
470 | | * need to call this due to clear byte at top if avoiding having the top |
471 | | * bit set (-ve number) |
472 | | */ |
473 | 8.77k | bn_correct_top(ret); |
474 | 8.77k | return ret; |
475 | 8.77k | } |
476 | | |
477 | | typedef enum {big, little} endianess_t; |
478 | | |
479 | | /* ignore negative */ |
480 | | static |
481 | | int bn2binpad(const BIGNUM *a, unsigned char *to, int tolen, endianess_t endianess) |
482 | 0 | { |
483 | 0 | int n; |
484 | 0 | size_t i, lasti, j, atop, mask; |
485 | 0 | 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 | 0 | n = BN_num_bytes(a); |
493 | 0 | if (tolen == -1) { |
494 | 0 | tolen = n; |
495 | 0 | } else if (tolen < n) { /* uncommon/unlike case */ |
496 | 0 | BIGNUM temp = *a; |
497 | |
|
498 | 0 | bn_correct_top(&temp); |
499 | 0 | n = BN_num_bytes(&temp); |
500 | 0 | if (tolen < n) |
501 | 0 | return -1; |
502 | 0 | } |
503 | | |
504 | | /* Swipe through whole available data and don't give away padded zero. */ |
505 | 0 | atop = a->dmax * BN_BYTES; |
506 | 0 | if (atop == 0) { |
507 | 0 | OPENSSL_cleanse(to, tolen); |
508 | 0 | return tolen; |
509 | 0 | } |
510 | | |
511 | 0 | lasti = atop - 1; |
512 | 0 | atop = a->top * BN_BYTES; |
513 | 0 | if (endianess == big) |
514 | 0 | to += tolen; /* start from the end of the buffer */ |
515 | 0 | for (i = 0, j = 0; j < (size_t)tolen; j++) { |
516 | 0 | unsigned char val; |
517 | 0 | l = a->d[i / BN_BYTES]; |
518 | 0 | mask = 0 - ((j - atop) >> (8 * sizeof(i) - 1)); |
519 | 0 | val = (unsigned char)(l >> (8 * (i % BN_BYTES)) & mask); |
520 | 0 | if (endianess == big) |
521 | 0 | *--to = val; |
522 | 0 | else |
523 | 0 | *to++ = val; |
524 | 0 | i += (i - lasti) >> (8 * sizeof(i) - 1); /* stay on last limb */ |
525 | 0 | } |
526 | |
|
527 | 0 | return tolen; |
528 | 0 | } |
529 | | |
530 | | int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen) |
531 | 0 | { |
532 | 0 | if (tolen < 0) |
533 | 0 | return -1; |
534 | 0 | return bn2binpad(a, to, tolen, big); |
535 | 0 | } |
536 | | |
537 | | int BN_bn2bin(const BIGNUM *a, unsigned char *to) |
538 | 0 | { |
539 | 0 | return bn2binpad(a, to, -1, big); |
540 | 0 | } |
541 | | |
542 | | BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret) |
543 | 0 | { |
544 | 0 | unsigned int i, m; |
545 | 0 | unsigned int n; |
546 | 0 | BN_ULONG l; |
547 | 0 | BIGNUM *bn = NULL; |
548 | |
|
549 | 0 | if (ret == NULL) |
550 | 0 | ret = bn = BN_new(); |
551 | 0 | if (ret == NULL) |
552 | 0 | return NULL; |
553 | 0 | bn_check_top(ret); |
554 | 0 | s += len; |
555 | | /* Skip trailing zeroes. */ |
556 | 0 | for ( ; len > 0 && s[-1] == 0; s--, len--) |
557 | 0 | continue; |
558 | 0 | n = len; |
559 | 0 | if (n == 0) { |
560 | 0 | ret->top = 0; |
561 | 0 | return ret; |
562 | 0 | } |
563 | 0 | i = ((n - 1) / BN_BYTES) + 1; |
564 | 0 | m = ((n - 1) % (BN_BYTES)); |
565 | 0 | if (bn_wexpand(ret, (int)i) == NULL) { |
566 | 0 | BN_free(bn); |
567 | 0 | return NULL; |
568 | 0 | } |
569 | 0 | ret->top = i; |
570 | 0 | ret->neg = 0; |
571 | 0 | l = 0; |
572 | 0 | while (n--) { |
573 | 0 | s--; |
574 | 0 | l = (l << 8L) | *s; |
575 | 0 | if (m-- == 0) { |
576 | 0 | ret->d[--i] = l; |
577 | 0 | l = 0; |
578 | 0 | m = BN_BYTES - 1; |
579 | 0 | } |
580 | 0 | } |
581 | | /* |
582 | | * need to call this due to clear byte at top if avoiding having the top |
583 | | * bit set (-ve number) |
584 | | */ |
585 | 0 | bn_correct_top(ret); |
586 | 0 | return ret; |
587 | 0 | } |
588 | | |
589 | | int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen) |
590 | 0 | { |
591 | 0 | if (tolen < 0) |
592 | 0 | return -1; |
593 | 0 | return bn2binpad(a, to, tolen, little); |
594 | 0 | } |
595 | | |
596 | | int BN_ucmp(const BIGNUM *a, const BIGNUM *b) |
597 | 331k | { |
598 | 331k | int i; |
599 | 331k | BN_ULONG t1, t2, *ap, *bp; |
600 | | |
601 | 331k | bn_check_top(a); |
602 | 331k | bn_check_top(b); |
603 | | |
604 | 331k | i = a->top - b->top; |
605 | 331k | if (i != 0) |
606 | 96.4k | return i; |
607 | 235k | ap = a->d; |
608 | 235k | bp = b->d; |
609 | 495k | for (i = a->top - 1; i >= 0; i--) { |
610 | 493k | t1 = ap[i]; |
611 | 493k | t2 = bp[i]; |
612 | 493k | if (t1 != t2) |
613 | 233k | return ((t1 > t2) ? 1 : -1); |
614 | 493k | } |
615 | 1.43k | return 0; |
616 | 235k | } |
617 | | |
618 | | int BN_cmp(const BIGNUM *a, const BIGNUM *b) |
619 | 3.27k | { |
620 | 3.27k | int i; |
621 | 3.27k | int gt, lt; |
622 | 3.27k | BN_ULONG t1, t2; |
623 | | |
624 | 3.27k | if ((a == NULL) || (b == NULL)) { |
625 | 0 | if (a != NULL) |
626 | 0 | return -1; |
627 | 0 | else if (b != NULL) |
628 | 0 | return 1; |
629 | 0 | else |
630 | 0 | return 0; |
631 | 0 | } |
632 | | |
633 | 3.27k | bn_check_top(a); |
634 | 3.27k | bn_check_top(b); |
635 | | |
636 | 3.27k | if (a->neg != b->neg) { |
637 | 0 | if (a->neg) |
638 | 0 | return -1; |
639 | 0 | else |
640 | 0 | return 1; |
641 | 0 | } |
642 | 3.27k | if (a->neg == 0) { |
643 | 3.27k | gt = 1; |
644 | 3.27k | lt = -1; |
645 | 3.27k | } else { |
646 | 0 | gt = -1; |
647 | 0 | lt = 1; |
648 | 0 | } |
649 | | |
650 | 3.27k | if (a->top > b->top) |
651 | 0 | return gt; |
652 | 3.27k | if (a->top < b->top) |
653 | 0 | return lt; |
654 | 37.1k | for (i = a->top - 1; i >= 0; i--) { |
655 | 33.9k | t1 = a->d[i]; |
656 | 33.9k | t2 = b->d[i]; |
657 | 33.9k | if (t1 > t2) |
658 | 0 | return gt; |
659 | 33.9k | if (t1 < t2) |
660 | 0 | return lt; |
661 | 33.9k | } |
662 | 3.27k | return 0; |
663 | 3.27k | } |
664 | | |
665 | | int BN_set_bit(BIGNUM *a, int n) |
666 | 4.48k | { |
667 | 4.48k | int i, j, k; |
668 | | |
669 | 4.48k | if (n < 0) |
670 | 0 | return 0; |
671 | | |
672 | 4.48k | i = n / BN_BITS2; |
673 | 4.48k | j = n % BN_BITS2; |
674 | 4.48k | if (a->top <= i) { |
675 | 4.48k | if (bn_wexpand(a, i + 1) == NULL) |
676 | 0 | return 0; |
677 | 89.8k | for (k = a->top; k < i + 1; k++) |
678 | 85.3k | a->d[k] = 0; |
679 | 4.48k | a->top = i + 1; |
680 | 4.48k | a->flags &= ~BN_FLG_FIXED_TOP; |
681 | 4.48k | } |
682 | | |
683 | 4.48k | a->d[i] |= (((BN_ULONG)1) << j); |
684 | 4.48k | bn_check_top(a); |
685 | 4.48k | return 1; |
686 | 4.48k | } |
687 | | |
688 | | int BN_clear_bit(BIGNUM *a, int n) |
689 | 0 | { |
690 | 0 | int i, j; |
691 | |
|
692 | 0 | bn_check_top(a); |
693 | 0 | if (n < 0) |
694 | 0 | return 0; |
695 | | |
696 | 0 | i = n / BN_BITS2; |
697 | 0 | j = n % BN_BITS2; |
698 | 0 | if (a->top <= i) |
699 | 0 | return 0; |
700 | | |
701 | 0 | a->d[i] &= (~(((BN_ULONG)1) << j)); |
702 | 0 | bn_correct_top(a); |
703 | 0 | return 1; |
704 | 0 | } |
705 | | |
706 | | int BN_is_bit_set(const BIGNUM *a, int n) |
707 | 639k | { |
708 | 639k | int i, j; |
709 | | |
710 | 639k | bn_check_top(a); |
711 | 639k | if (n < 0) |
712 | 0 | return 0; |
713 | 639k | i = n / BN_BITS2; |
714 | 639k | j = n % BN_BITS2; |
715 | 639k | if (a->top <= i) |
716 | 0 | return 0; |
717 | 639k | return (int)(((a->d[i]) >> j) & ((BN_ULONG)1)); |
718 | 639k | } |
719 | | |
720 | | int BN_mask_bits(BIGNUM *a, int n) |
721 | 0 | { |
722 | 0 | int b, w; |
723 | |
|
724 | 0 | bn_check_top(a); |
725 | 0 | if (n < 0) |
726 | 0 | return 0; |
727 | | |
728 | 0 | w = n / BN_BITS2; |
729 | 0 | b = n % BN_BITS2; |
730 | 0 | if (w >= a->top) |
731 | 0 | return 0; |
732 | 0 | if (b == 0) |
733 | 0 | a->top = w; |
734 | 0 | else { |
735 | 0 | a->top = w + 1; |
736 | 0 | a->d[w] &= ~(BN_MASK2 << b); |
737 | 0 | } |
738 | 0 | bn_correct_top(a); |
739 | 0 | return 1; |
740 | 0 | } |
741 | | |
742 | | void BN_set_negative(BIGNUM *a, int b) |
743 | 6.65k | { |
744 | 6.65k | if (b && !BN_is_zero(a)) |
745 | 3.11k | a->neg = 1; |
746 | 3.54k | else |
747 | 3.54k | a->neg = 0; |
748 | 6.65k | } |
749 | | |
750 | | int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n) |
751 | 1.14M | { |
752 | 1.14M | int i; |
753 | 1.14M | BN_ULONG aa, bb; |
754 | | |
755 | 1.14M | if (n == 0) |
756 | 0 | return 0; |
757 | | |
758 | 1.14M | aa = a[n - 1]; |
759 | 1.14M | bb = b[n - 1]; |
760 | 1.14M | if (aa != bb) |
761 | 1.04M | return ((aa > bb) ? 1 : -1); |
762 | 673k | for (i = n - 2; i >= 0; i--) { |
763 | 645k | aa = a[i]; |
764 | 645k | bb = b[i]; |
765 | 645k | if (aa != bb) |
766 | 77.3k | return ((aa > bb) ? 1 : -1); |
767 | 645k | } |
768 | 27.5k | return 0; |
769 | 104k | } |
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 | | |
780 | | int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, int cl, int dl) |
781 | 1.19M | { |
782 | 1.19M | int n, i; |
783 | 1.19M | n = cl - 1; |
784 | | |
785 | 1.19M | if (dl < 0) { |
786 | 117k | for (i = dl; i < 0; i++) { |
787 | 113k | if (b[n - i] != 0) |
788 | 43.0k | return -1; /* a < b */ |
789 | 113k | } |
790 | 47.1k | } |
791 | 1.15M | if (dl > 0) { |
792 | 137k | for (i = dl; i > 0; i--) { |
793 | 129k | if (a[n + i] != 0) |
794 | 40.4k | return 1; /* a > b */ |
795 | 129k | } |
796 | 48.7k | } |
797 | 1.11M | return bn_cmp_words(a, b, cl); |
798 | 1.15M | } |
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 | | */ |
807 | | void BN_consttime_swap(BN_ULONG condition, BIGNUM *a, BIGNUM *b, int nwords) |
808 | 0 | { |
809 | 0 | BN_ULONG t; |
810 | 0 | int i; |
811 | |
|
812 | 0 | if (a == b) |
813 | 0 | return; |
814 | | |
815 | 0 | bn_wcheck_size(a, nwords); |
816 | 0 | bn_wcheck_size(b, nwords); |
817 | |
|
818 | 0 | condition = ((~condition & ((condition - 1))) >> (BN_BITS2 - 1)) - 1; |
819 | |
|
820 | 0 | t = (a->top ^ b->top) & condition; |
821 | 0 | a->top ^= t; |
822 | 0 | b->top ^= t; |
823 | |
|
824 | 0 | t = (a->neg ^ b->neg) & condition; |
825 | 0 | a->neg ^= t; |
826 | 0 | 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 | 0 | #define BN_CONSTTIME_SWAP_FLAGS (BN_FLG_CONSTTIME | BN_FLG_FIXED_TOP) |
851 | |
|
852 | 0 | t = ((a->flags ^ b->flags) & BN_CONSTTIME_SWAP_FLAGS) & condition; |
853 | 0 | a->flags ^= t; |
854 | 0 | b->flags ^= t; |
855 | | |
856 | | /* conditionally swap the data */ |
857 | 0 | for (i = 0; i < nwords; i++) { |
858 | 0 | t = (a->d[i] ^ b->d[i]) & condition; |
859 | 0 | a->d[i] ^= t; |
860 | 0 | b->d[i] ^= t; |
861 | 0 | } |
862 | 0 | } |
863 | | |
864 | | #undef BN_CONSTTIME_SWAP_FLAGS |
865 | | |
866 | | /* Bits of security, see SP800-57 */ |
867 | | |
868 | | int BN_security_bits(int L, int N) |
869 | 0 | { |
870 | 0 | int secbits, bits; |
871 | 0 | if (L >= 15360) |
872 | 0 | secbits = 256; |
873 | 0 | else if (L >= 7680) |
874 | 0 | secbits = 192; |
875 | 0 | else if (L >= 3072) |
876 | 0 | secbits = 128; |
877 | 0 | else if (L >= 2048) |
878 | 0 | secbits = 112; |
879 | 0 | else if (L >= 1024) |
880 | 0 | secbits = 80; |
881 | 0 | else |
882 | 0 | return 0; |
883 | 0 | if (N == -1) |
884 | 0 | return secbits; |
885 | 0 | bits = N / 2; |
886 | 0 | if (bits < 80) |
887 | 0 | return 0; |
888 | 0 | return bits >= secbits ? secbits : bits; |
889 | 0 | } |
890 | | |
891 | | void BN_zero_ex(BIGNUM *a) |
892 | 0 | { |
893 | 0 | a->neg = 0; |
894 | 0 | a->top = 0; |
895 | 0 | a->flags &= ~BN_FLG_FIXED_TOP; |
896 | 0 | } |
897 | | |
898 | | int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w) |
899 | 4.56k | { |
900 | 4.56k | return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0)); |
901 | 4.56k | } |
902 | | |
903 | | int BN_is_zero(const BIGNUM *a) |
904 | 625k | { |
905 | 625k | return a->top == 0; |
906 | 625k | } |
907 | | |
908 | | int BN_is_one(const BIGNUM *a) |
909 | 2.82k | { |
910 | 2.82k | return BN_abs_is_word(a, 1) && !a->neg; |
911 | 2.82k | } |
912 | | |
913 | | int BN_is_word(const BIGNUM *a, const BN_ULONG w) |
914 | 0 | { |
915 | 0 | return BN_abs_is_word(a, w) && (!w || !a->neg); |
916 | 0 | } |
917 | | |
918 | | int BN_is_odd(const BIGNUM *a) |
919 | 67.9k | { |
920 | 67.9k | return (a->top > 0) && (a->d[0] & 1); |
921 | 67.9k | } |
922 | | |
923 | | int BN_is_negative(const BIGNUM *a) |
924 | 0 | { |
925 | 0 | return (a->neg != 0); |
926 | 0 | } |
927 | | |
928 | | int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, |
929 | | BN_CTX *ctx) |
930 | 429 | { |
931 | 429 | return BN_mod_mul_montgomery(r, a, &(mont->RR), mont, ctx); |
932 | 429 | } |
933 | | |
934 | | void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags) |
935 | 0 | { |
936 | 0 | dest->d = b->d; |
937 | 0 | dest->top = b->top; |
938 | 0 | dest->dmax = b->dmax; |
939 | 0 | dest->neg = b->neg; |
940 | 0 | dest->flags = ((dest->flags & BN_FLG_MALLOCED) |
941 | 0 | | (b->flags & ~BN_FLG_MALLOCED) |
942 | 0 | | BN_FLG_STATIC_DATA | flags); |
943 | 0 | } |
944 | | |
945 | | BN_GENCB *BN_GENCB_new(void) |
946 | 0 | { |
947 | 0 | BN_GENCB *ret; |
948 | |
|
949 | 0 | if ((ret = OPENSSL_malloc(sizeof(*ret))) == NULL) { |
950 | 0 | BNerr(BN_F_BN_GENCB_NEW, ERR_R_MALLOC_FAILURE); |
951 | 0 | return NULL; |
952 | 0 | } |
953 | | |
954 | 0 | return ret; |
955 | 0 | } |
956 | | |
957 | | void BN_GENCB_free(BN_GENCB *cb) |
958 | 0 | { |
959 | 0 | if (cb == NULL) |
960 | 0 | return; |
961 | 0 | OPENSSL_free(cb); |
962 | 0 | } |
963 | | |
964 | | void BN_set_flags(BIGNUM *b, int n) |
965 | 0 | { |
966 | 0 | b->flags |= n; |
967 | 0 | } |
968 | | |
969 | | int BN_get_flags(const BIGNUM *b, int n) |
970 | 738k | { |
971 | 738k | return b->flags & n; |
972 | 738k | } |
973 | | |
974 | | /* Populate a BN_GENCB structure with an "old"-style callback */ |
975 | | void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *), |
976 | | void *cb_arg) |
977 | 0 | { |
978 | 0 | BN_GENCB *tmp_gencb = gencb; |
979 | 0 | tmp_gencb->ver = 1; |
980 | 0 | tmp_gencb->arg = cb_arg; |
981 | 0 | tmp_gencb->cb.cb_1 = callback; |
982 | 0 | } |
983 | | |
984 | | /* Populate a BN_GENCB structure with a "new"-style callback */ |
985 | | void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *), |
986 | | void *cb_arg) |
987 | 0 | { |
988 | 0 | BN_GENCB *tmp_gencb = gencb; |
989 | 0 | tmp_gencb->ver = 2; |
990 | 0 | tmp_gencb->arg = cb_arg; |
991 | 0 | tmp_gencb->cb.cb_2 = callback; |
992 | 0 | } |
993 | | |
994 | | void *BN_GENCB_get_arg(BN_GENCB *cb) |
995 | 0 | { |
996 | 0 | return cb->arg; |
997 | 0 | } |
998 | | |
999 | | BIGNUM *bn_wexpand(BIGNUM *a, int words) |
1000 | 2.85M | { |
1001 | 2.85M | return (words <= a->dmax) ? a : bn_expand2(a, words); |
1002 | 2.85M | } |
1003 | | |
1004 | | void bn_correct_top_consttime(BIGNUM *a) |
1005 | 0 | { |
1006 | 0 | int j, atop; |
1007 | 0 | BN_ULONG limb; |
1008 | 0 | unsigned int mask; |
1009 | |
|
1010 | 0 | for (j = 0, atop = 0; j < a->dmax; j++) { |
1011 | 0 | limb = a->d[j]; |
1012 | 0 | limb |= 0 - limb; |
1013 | 0 | limb >>= BN_BITS2 - 1; |
1014 | 0 | limb = 0 - limb; |
1015 | 0 | mask = (unsigned int)limb; |
1016 | 0 | mask &= constant_time_msb(j - a->top); |
1017 | 0 | atop = constant_time_select_int(mask, j + 1, atop); |
1018 | 0 | } |
1019 | |
|
1020 | 0 | mask = constant_time_eq_int(atop, 0); |
1021 | 0 | a->top = atop; |
1022 | 0 | a->neg = constant_time_select_int(mask, 0, a->neg); |
1023 | 0 | a->flags &= ~BN_FLG_FIXED_TOP; |
1024 | 0 | } |
1025 | | |
1026 | | void bn_correct_top(BIGNUM *a) |
1027 | 1.02M | { |
1028 | 1.02M | BN_ULONG *ftl; |
1029 | 1.02M | int tmp_top = a->top; |
1030 | | |
1031 | 1.02M | if (tmp_top > 0) { |
1032 | 1.99M | for (ftl = &(a->d[tmp_top]); tmp_top > 0; tmp_top--) { |
1033 | 1.97M | ftl--; |
1034 | 1.97M | if (*ftl != 0) |
1035 | 992k | break; |
1036 | 1.97M | } |
1037 | 1.00M | a->top = tmp_top; |
1038 | 1.00M | } |
1039 | 1.02M | if (a->top == 0) |
1040 | 29.2k | a->neg = 0; |
1041 | 1.02M | a->flags &= ~BN_FLG_FIXED_TOP; |
1042 | 1.02M | bn_pollute(a); |
1043 | 1.02M | } |