1 /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com)
2 * All rights reserved.
3 *
4 * This package is an SSL implementation written
5 * by Eric Young (eay@cryptsoft.com).
6 * The implementation was written so as to conform with Netscapes SSL.
7 *
8 * This library is free for commercial and non-commercial use as long as
9 * the following conditions are aheared to. The following conditions
10 * apply to all code found in this distribution, be it the RC4, RSA,
11 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
12 * included with this distribution is covered by the same copyright terms
13 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
14 *
15 * Copyright remains Eric Young's, and as such any Copyright notices in
16 * the code are not to be removed.
17 * If this package is used in a product, Eric Young should be given attribution
18 * as the author of the parts of the library used.
19 * This can be in the form of a textual message at program startup or
20 * in documentation (online or textual) provided with the package.
21 *
22 * Redistribution and use in source and binary forms, with or without
23 * modification, are permitted provided that the following conditions
24 * are met:
25 * 1. Redistributions of source code must retain the copyright
26 * notice, this list of conditions and the following disclaimer.
27 * 2. Redistributions in binary form must reproduce the above copyright
28 * notice, this list of conditions and the following disclaimer in the
29 * documentation and/or other materials provided with the distribution.
30 * 3. All advertising materials mentioning features or use of this software
31 * must display the following acknowledgement:
32 * "This product includes cryptographic software written by
33 * Eric Young (eay@cryptsoft.com)"
34 * The word 'cryptographic' can be left out if the rouines from the library
35 * being used are not cryptographic related :-).
36 * 4. If you include any Windows specific code (or a derivative thereof) from
37 * the apps directory (application code) you must include an acknowledgement:
38 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
39 *
40 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
41 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
42 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
43 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
44 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
45 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
46 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
48 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
49 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
50 * SUCH DAMAGE.
51 *
52 * The licence and distribution terms for any publically available version or
53 * derivative of this code cannot be changed. i.e. this code cannot simply be
54 * copied and put under another distribution licence
55 * [including the GNU Public Licence.] */
56
57 #include <openssl/bn.h>
58
59 #include <limits.h>
60 #include <string.h>
61
62 #include <openssl/err.h>
63 #include <openssl/mem.h>
64
65 #include "internal.h"
66 #include "../delocate.h"
67
68
BN_new(void)69 BIGNUM *BN_new(void) {
70 BIGNUM *bn = OPENSSL_malloc(sizeof(BIGNUM));
71
72 if (bn == NULL) {
73 OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
74 return NULL;
75 }
76
77 OPENSSL_memset(bn, 0, sizeof(BIGNUM));
78 bn->flags = BN_FLG_MALLOCED;
79
80 return bn;
81 }
82
BN_init(BIGNUM * bn)83 void BN_init(BIGNUM *bn) {
84 OPENSSL_memset(bn, 0, sizeof(BIGNUM));
85 }
86
BN_free(BIGNUM * bn)87 void BN_free(BIGNUM *bn) {
88 if (bn == NULL) {
89 return;
90 }
91
92 if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
93 OPENSSL_free(bn->d);
94 }
95
96 if (bn->flags & BN_FLG_MALLOCED) {
97 OPENSSL_free(bn);
98 } else {
99 bn->d = NULL;
100 }
101 }
102
BN_clear_free(BIGNUM * bn)103 void BN_clear_free(BIGNUM *bn) {
104 char should_free;
105
106 if (bn == NULL) {
107 return;
108 }
109
110 if (bn->d != NULL) {
111 if ((bn->flags & BN_FLG_STATIC_DATA) == 0) {
112 OPENSSL_free(bn->d);
113 } else {
114 OPENSSL_cleanse(bn->d, bn->dmax * sizeof(bn->d[0]));
115 }
116 }
117
118 should_free = (bn->flags & BN_FLG_MALLOCED) != 0;
119 if (should_free) {
120 OPENSSL_free(bn);
121 } else {
122 OPENSSL_cleanse(bn, sizeof(BIGNUM));
123 }
124 }
125
BN_dup(const BIGNUM * src)126 BIGNUM *BN_dup(const BIGNUM *src) {
127 BIGNUM *copy;
128
129 if (src == NULL) {
130 return NULL;
131 }
132
133 copy = BN_new();
134 if (copy == NULL) {
135 return NULL;
136 }
137
138 if (!BN_copy(copy, src)) {
139 BN_free(copy);
140 return NULL;
141 }
142
143 return copy;
144 }
145
BN_copy(BIGNUM * dest,const BIGNUM * src)146 BIGNUM *BN_copy(BIGNUM *dest, const BIGNUM *src) {
147 if (src == dest) {
148 return dest;
149 }
150
151 if (!bn_wexpand(dest, src->top)) {
152 return NULL;
153 }
154
155 OPENSSL_memcpy(dest->d, src->d, sizeof(src->d[0]) * src->top);
156
157 dest->top = src->top;
158 dest->neg = src->neg;
159 return dest;
160 }
161
BN_clear(BIGNUM * bn)162 void BN_clear(BIGNUM *bn) {
163 if (bn->d != NULL) {
164 OPENSSL_memset(bn->d, 0, bn->dmax * sizeof(bn->d[0]));
165 }
166
167 bn->top = 0;
168 bn->neg = 0;
169 }
170
DEFINE_METHOD_FUNCTION(BIGNUM,BN_value_one)171 DEFINE_METHOD_FUNCTION(BIGNUM, BN_value_one) {
172 static const BN_ULONG kOneLimbs[1] = { 1 };
173 out->d = (BN_ULONG*) kOneLimbs;
174 out->top = 1;
175 out->dmax = 1;
176 out->neg = 0;
177 out->flags = BN_FLG_STATIC_DATA;
178 }
179
180 // BN_num_bits_word returns the minimum number of bits needed to represent the
181 // value in |l|.
BN_num_bits_word(BN_ULONG l)182 unsigned BN_num_bits_word(BN_ULONG l) {
183 // |BN_num_bits| is often called on RSA prime factors. These have public bit
184 // lengths, but all bits beyond the high bit are secret, so count bits in
185 // constant time.
186 BN_ULONG x, mask;
187 int bits = (l != 0);
188
189 #if BN_BITS2 > 32
190 x = l >> 32;
191 mask = 0u - x;
192 mask = (0u - (mask >> (BN_BITS2 - 1)));
193 bits += 32 & mask;
194 l ^= (x ^ l) & mask;
195 #endif
196
197 x = l >> 16;
198 mask = 0u - x;
199 mask = (0u - (mask >> (BN_BITS2 - 1)));
200 bits += 16 & mask;
201 l ^= (x ^ l) & mask;
202
203 x = l >> 8;
204 mask = 0u - x;
205 mask = (0u - (mask >> (BN_BITS2 - 1)));
206 bits += 8 & mask;
207 l ^= (x ^ l) & mask;
208
209 x = l >> 4;
210 mask = 0u - x;
211 mask = (0u - (mask >> (BN_BITS2 - 1)));
212 bits += 4 & mask;
213 l ^= (x ^ l) & mask;
214
215 x = l >> 2;
216 mask = 0u - x;
217 mask = (0u - (mask >> (BN_BITS2 - 1)));
218 bits += 2 & mask;
219 l ^= (x ^ l) & mask;
220
221 x = l >> 1;
222 mask = 0u - x;
223 mask = (0u - (mask >> (BN_BITS2 - 1)));
224 bits += 1 & mask;
225
226 return bits;
227 }
228
BN_num_bits(const BIGNUM * bn)229 unsigned BN_num_bits(const BIGNUM *bn) {
230 const int width = bn_minimal_width(bn);
231 if (width == 0) {
232 return 0;
233 }
234
235 return (width - 1) * BN_BITS2 + BN_num_bits_word(bn->d[width - 1]);
236 }
237
BN_num_bytes(const BIGNUM * bn)238 unsigned BN_num_bytes(const BIGNUM *bn) {
239 return (BN_num_bits(bn) + 7) / 8;
240 }
241
BN_zero(BIGNUM * bn)242 void BN_zero(BIGNUM *bn) {
243 bn->top = bn->neg = 0;
244 }
245
BN_one(BIGNUM * bn)246 int BN_one(BIGNUM *bn) {
247 return BN_set_word(bn, 1);
248 }
249
BN_set_word(BIGNUM * bn,BN_ULONG value)250 int BN_set_word(BIGNUM *bn, BN_ULONG value) {
251 if (value == 0) {
252 BN_zero(bn);
253 return 1;
254 }
255
256 if (!bn_wexpand(bn, 1)) {
257 return 0;
258 }
259
260 bn->neg = 0;
261 bn->d[0] = value;
262 bn->top = 1;
263 return 1;
264 }
265
BN_set_u64(BIGNUM * bn,uint64_t value)266 int BN_set_u64(BIGNUM *bn, uint64_t value) {
267 #if BN_BITS2 == 64
268 return BN_set_word(bn, value);
269 #elif BN_BITS2 == 32
270 if (value <= BN_MASK2) {
271 return BN_set_word(bn, (BN_ULONG)value);
272 }
273
274 if (!bn_wexpand(bn, 2)) {
275 return 0;
276 }
277
278 bn->neg = 0;
279 bn->d[0] = (BN_ULONG)value;
280 bn->d[1] = (BN_ULONG)(value >> 32);
281 bn->top = 2;
282 return 1;
283 #else
284 #error "BN_BITS2 must be 32 or 64."
285 #endif
286 }
287
bn_set_words(BIGNUM * bn,const BN_ULONG * words,size_t num)288 int bn_set_words(BIGNUM *bn, const BN_ULONG *words, size_t num) {
289 if (!bn_wexpand(bn, num)) {
290 return 0;
291 }
292 OPENSSL_memmove(bn->d, words, num * sizeof(BN_ULONG));
293 // |bn_wexpand| verified that |num| isn't too large.
294 bn->top = (int)num;
295 bn_correct_top(bn);
296 bn->neg = 0;
297 return 1;
298 }
299
bn_fits_in_words(const BIGNUM * bn,size_t num)300 int bn_fits_in_words(const BIGNUM *bn, size_t num) {
301 // All words beyond |num| must be zero.
302 BN_ULONG mask = 0;
303 for (size_t i = num; i < (size_t)bn->top; i++) {
304 mask |= bn->d[i];
305 }
306 return mask == 0;
307 }
308
bn_copy_words(BN_ULONG * out,size_t num,const BIGNUM * bn)309 int bn_copy_words(BN_ULONG *out, size_t num, const BIGNUM *bn) {
310 if (bn->neg) {
311 OPENSSL_PUT_ERROR(BN, BN_R_NEGATIVE_NUMBER);
312 return 0;
313 }
314
315 size_t width = (size_t)bn->top;
316 if (width > num) {
317 if (!bn_fits_in_words(bn, num)) {
318 OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
319 return 0;
320 }
321 width = num;
322 }
323
324 OPENSSL_memset(out, 0, sizeof(BN_ULONG) * num);
325 OPENSSL_memcpy(out, bn->d, sizeof(BN_ULONG) * width);
326 return 1;
327 }
328
BN_is_negative(const BIGNUM * bn)329 int BN_is_negative(const BIGNUM *bn) {
330 return bn->neg != 0;
331 }
332
BN_set_negative(BIGNUM * bn,int sign)333 void BN_set_negative(BIGNUM *bn, int sign) {
334 if (sign && !BN_is_zero(bn)) {
335 bn->neg = 1;
336 } else {
337 bn->neg = 0;
338 }
339 }
340
bn_wexpand(BIGNUM * bn,size_t words)341 int bn_wexpand(BIGNUM *bn, size_t words) {
342 BN_ULONG *a;
343
344 if (words <= (size_t)bn->dmax) {
345 return 1;
346 }
347
348 if (words > (INT_MAX / (4 * BN_BITS2))) {
349 OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
350 return 0;
351 }
352
353 if (bn->flags & BN_FLG_STATIC_DATA) {
354 OPENSSL_PUT_ERROR(BN, BN_R_EXPAND_ON_STATIC_BIGNUM_DATA);
355 return 0;
356 }
357
358 a = OPENSSL_malloc(sizeof(BN_ULONG) * words);
359 if (a == NULL) {
360 OPENSSL_PUT_ERROR(BN, ERR_R_MALLOC_FAILURE);
361 return 0;
362 }
363
364 OPENSSL_memcpy(a, bn->d, sizeof(BN_ULONG) * bn->top);
365
366 OPENSSL_free(bn->d);
367 bn->d = a;
368 bn->dmax = (int)words;
369
370 return 1;
371 }
372
bn_expand(BIGNUM * bn,size_t bits)373 int bn_expand(BIGNUM *bn, size_t bits) {
374 if (bits + BN_BITS2 - 1 < bits) {
375 OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
376 return 0;
377 }
378 return bn_wexpand(bn, (bits+BN_BITS2-1)/BN_BITS2);
379 }
380
bn_resize_words(BIGNUM * bn,size_t words)381 int bn_resize_words(BIGNUM *bn, size_t words) {
382 if ((size_t)bn->top <= words) {
383 if (!bn_wexpand(bn, words)) {
384 return 0;
385 }
386 OPENSSL_memset(bn->d + bn->top, 0, (words - bn->top) * sizeof(BN_ULONG));
387 bn->top = words;
388 return 1;
389 }
390
391 // All words beyond the new width must be zero.
392 if (!bn_fits_in_words(bn, words)) {
393 OPENSSL_PUT_ERROR(BN, BN_R_BIGNUM_TOO_LONG);
394 return 0;
395 }
396 bn->top = words;
397 return 1;
398 }
399
bn_minimal_width(const BIGNUM * bn)400 int bn_minimal_width(const BIGNUM *bn) {
401 int ret = bn->top;
402 while (ret > 0 && bn->d[ret - 1] == 0) {
403 ret--;
404 }
405 return ret;
406 }
407
bn_correct_top(BIGNUM * bn)408 void bn_correct_top(BIGNUM *bn) {
409 bn->top = bn_minimal_width(bn);
410 if (bn->top == 0) {
411 bn->neg = 0;
412 }
413 }
414