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d02b48c6 | 1 | /* crypto/bn/bn_lib.c */ |
58964a49 | 2 | /* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) |
d02b48c6 RE |
3 | * All rights reserved. |
4 | * | |
5 | * This package is an SSL implementation written | |
6 | * by Eric Young (eay@cryptsoft.com). | |
7 | * The implementation was written so as to conform with Netscapes SSL. | |
8 | * | |
9 | * This library is free for commercial and non-commercial use as long as | |
10 | * the following conditions are aheared to. The following conditions | |
11 | * apply to all code found in this distribution, be it the RC4, RSA, | |
12 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation | |
13 | * included with this distribution is covered by the same copyright terms | |
14 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). | |
15 | * | |
16 | * Copyright remains Eric Young's, and as such any Copyright notices in | |
17 | * the code are not to be removed. | |
18 | * If this package is used in a product, Eric Young should be given attribution | |
19 | * as the author of the parts of the library used. | |
20 | * This can be in the form of a textual message at program startup or | |
21 | * in documentation (online or textual) provided with the package. | |
22 | * | |
23 | * Redistribution and use in source and binary forms, with or without | |
24 | * modification, are permitted provided that the following conditions | |
25 | * are met: | |
26 | * 1. Redistributions of source code must retain the copyright | |
27 | * notice, this list of conditions and the following disclaimer. | |
28 | * 2. Redistributions in binary form must reproduce the above copyright | |
29 | * notice, this list of conditions and the following disclaimer in the | |
30 | * documentation and/or other materials provided with the distribution. | |
31 | * 3. All advertising materials mentioning features or use of this software | |
32 | * must display the following acknowledgement: | |
33 | * "This product includes cryptographic software written by | |
34 | * Eric Young (eay@cryptsoft.com)" | |
35 | * The word 'cryptographic' can be left out if the rouines from the library | |
36 | * being used are not cryptographic related :-). | |
37 | * 4. If you include any Windows specific code (or a derivative thereof) from | |
38 | * the apps directory (application code) you must include an acknowledgement: | |
39 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | |
40 | * | |
41 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | |
42 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
43 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
44 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | |
45 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | |
46 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | |
47 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
48 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | |
49 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | |
50 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | |
51 | * SUCH DAMAGE. | |
52 | * | |
53 | * The licence and distribution terms for any publically available version or | |
54 | * derivative of this code cannot be changed. i.e. this code cannot simply be | |
55 | * copied and put under another distribution licence | |
56 | * [including the GNU Public Licence.] | |
57 | */ | |
58 | ||
bbb8de09 BM |
59 | #ifndef BN_DEBUG |
60 | # undef NDEBUG /* avoid conflicting definitions */ | |
61 | # define NDEBUG | |
62 | #endif | |
63 | ||
73e45b2d | 64 | |
7edfe674 | 65 | |
bbb8de09 | 66 | #include <assert.h> |
addb309a | 67 | #include <limits.h> |
d02b48c6 RE |
68 | #include "cryptlib.h" |
69 | #include "bn_lcl.h" | |
70 | ||
560b79cb | 71 | const char BN_version[]="Big Number" OPENSSL_VERSION_PTEXT; |
dfeab068 | 72 | |
df11e1e9 GT |
73 | /* This stuff appears to be completely unused, so is deprecated */ |
74 | #ifndef OPENSSL_NO_DEPRECATED | |
1d97c843 TH |
75 | /*- |
76 | * For a 32 bit machine | |
dfeab068 RE |
77 | * 2 - 4 == 128 |
78 | * 3 - 8 == 256 | |
79 | * 4 - 16 == 512 | |
80 | * 5 - 32 == 1024 | |
81 | * 6 - 64 == 2048 | |
82 | * 7 - 128 == 4096 | |
83 | * 8 - 256 == 8192 | |
84 | */ | |
775c63fc UM |
85 | static int bn_limit_bits=0; |
86 | static int bn_limit_num=8; /* (1<<bn_limit_bits) */ | |
87 | static int bn_limit_bits_low=0; | |
88 | static int bn_limit_num_low=8; /* (1<<bn_limit_bits_low) */ | |
89 | static int bn_limit_bits_high=0; | |
90 | static int bn_limit_num_high=8; /* (1<<bn_limit_bits_high) */ | |
91 | static int bn_limit_bits_mont=0; | |
92 | static int bn_limit_num_mont=8; /* (1<<bn_limit_bits_mont) */ | |
dfeab068 | 93 | |
6b691a5c | 94 | void BN_set_params(int mult, int high, int low, int mont) |
dfeab068 RE |
95 | { |
96 | if (mult >= 0) | |
97 | { | |
27545970 | 98 | if (mult > (int)(sizeof(int)*8)-1) |
dfeab068 RE |
99 | mult=sizeof(int)*8-1; |
100 | bn_limit_bits=mult; | |
101 | bn_limit_num=1<<mult; | |
102 | } | |
103 | if (high >= 0) | |
104 | { | |
27545970 | 105 | if (high > (int)(sizeof(int)*8)-1) |
dfeab068 RE |
106 | high=sizeof(int)*8-1; |
107 | bn_limit_bits_high=high; | |
108 | bn_limit_num_high=1<<high; | |
109 | } | |
110 | if (low >= 0) | |
111 | { | |
27545970 | 112 | if (low > (int)(sizeof(int)*8)-1) |
dfeab068 RE |
113 | low=sizeof(int)*8-1; |
114 | bn_limit_bits_low=low; | |
115 | bn_limit_num_low=1<<low; | |
116 | } | |
117 | if (mont >= 0) | |
118 | { | |
27545970 | 119 | if (mont > (int)(sizeof(int)*8)-1) |
dfeab068 RE |
120 | mont=sizeof(int)*8-1; |
121 | bn_limit_bits_mont=mont; | |
122 | bn_limit_num_mont=1<<mont; | |
123 | } | |
124 | } | |
125 | ||
6b691a5c | 126 | int BN_get_params(int which) |
dfeab068 RE |
127 | { |
128 | if (which == 0) return(bn_limit_bits); | |
129 | else if (which == 1) return(bn_limit_bits_high); | |
130 | else if (which == 2) return(bn_limit_bits_low); | |
131 | else if (which == 3) return(bn_limit_bits_mont); | |
132 | else return(0); | |
133 | } | |
df11e1e9 | 134 | #endif |
d02b48c6 | 135 | |
98499135 | 136 | const BIGNUM *BN_value_one(void) |
d02b48c6 | 137 | { |
f1455b30 AP |
138 | static const BN_ULONG data_one=1L; |
139 | static const BIGNUM const_one={(BN_ULONG *)&data_one,1,1,0,BN_FLG_STATIC_DATA}; | |
d02b48c6 RE |
140 | |
141 | return(&const_one); | |
142 | } | |
143 | ||
6b691a5c | 144 | int BN_num_bits_word(BN_ULONG l) |
d02b48c6 | 145 | { |
f1455b30 | 146 | static const unsigned char bits[256]={ |
d02b48c6 RE |
147 | 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4, |
148 | 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, | |
149 | 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, | |
150 | 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, | |
151 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, | |
152 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, | |
153 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, | |
154 | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, | |
155 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
156 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
157 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
158 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
159 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
160 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
161 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
162 | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, | |
163 | }; | |
164 | ||
dfeab068 | 165 | #if defined(SIXTY_FOUR_BIT_LONG) |
d02b48c6 RE |
166 | if (l & 0xffffffff00000000L) |
167 | { | |
168 | if (l & 0xffff000000000000L) | |
169 | { | |
170 | if (l & 0xff00000000000000L) | |
171 | { | |
dfeab068 | 172 | return(bits[(int)(l>>56)]+56); |
d02b48c6 | 173 | } |
dfeab068 | 174 | else return(bits[(int)(l>>48)]+48); |
d02b48c6 RE |
175 | } |
176 | else | |
177 | { | |
178 | if (l & 0x0000ff0000000000L) | |
179 | { | |
dfeab068 | 180 | return(bits[(int)(l>>40)]+40); |
d02b48c6 | 181 | } |
dfeab068 | 182 | else return(bits[(int)(l>>32)]+32); |
d02b48c6 RE |
183 | } |
184 | } | |
185 | else | |
186 | #else | |
187 | #ifdef SIXTY_FOUR_BIT | |
188 | if (l & 0xffffffff00000000LL) | |
189 | { | |
190 | if (l & 0xffff000000000000LL) | |
191 | { | |
192 | if (l & 0xff00000000000000LL) | |
193 | { | |
dfeab068 | 194 | return(bits[(int)(l>>56)]+56); |
d02b48c6 | 195 | } |
dfeab068 | 196 | else return(bits[(int)(l>>48)]+48); |
d02b48c6 RE |
197 | } |
198 | else | |
199 | { | |
200 | if (l & 0x0000ff0000000000LL) | |
201 | { | |
dfeab068 | 202 | return(bits[(int)(l>>40)]+40); |
d02b48c6 | 203 | } |
dfeab068 | 204 | else return(bits[(int)(l>>32)]+32); |
d02b48c6 RE |
205 | } |
206 | } | |
207 | else | |
208 | #endif | |
209 | #endif | |
210 | { | |
211 | #if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) | |
212 | if (l & 0xffff0000L) | |
213 | { | |
214 | if (l & 0xff000000L) | |
dfeab068 RE |
215 | return(bits[(int)(l>>24L)]+24); |
216 | else return(bits[(int)(l>>16L)]+16); | |
d02b48c6 RE |
217 | } |
218 | else | |
219 | #endif | |
220 | { | |
4a47f556 | 221 | #if defined(THIRTY_TWO_BIT) || defined(SIXTY_FOUR_BIT) || defined(SIXTY_FOUR_BIT_LONG) |
d02b48c6 | 222 | if (l & 0xff00L) |
dfeab068 | 223 | return(bits[(int)(l>>8)]+8); |
d02b48c6 RE |
224 | else |
225 | #endif | |
dfeab068 | 226 | return(bits[(int)(l )] ); |
d02b48c6 RE |
227 | } |
228 | } | |
229 | } | |
230 | ||
84c15db5 | 231 | int BN_num_bits(const BIGNUM *a) |
d02b48c6 | 232 | { |
2bfd2c74 | 233 | int i = a->top - 1; |
dfeab068 RE |
234 | bn_check_top(a); |
235 | ||
2bfd2c74 GT |
236 | if (BN_is_zero(a)) return 0; |
237 | return ((i*BN_BITS2) + BN_num_bits_word(a->d[i])); | |
d02b48c6 RE |
238 | } |
239 | ||
6b691a5c | 240 | void BN_clear_free(BIGNUM *a) |
d02b48c6 | 241 | { |
dfeab068 RE |
242 | int i; |
243 | ||
d02b48c6 | 244 | if (a == NULL) return; |
2bfd2c74 | 245 | bn_check_top(a); |
d02b48c6 RE |
246 | if (a->d != NULL) |
247 | { | |
43d60164 | 248 | OPENSSL_cleanse(a->d,a->dmax*sizeof(a->d[0])); |
dfeab068 | 249 | if (!(BN_get_flags(a,BN_FLG_STATIC_DATA))) |
26a3a48d | 250 | OPENSSL_free(a->d); |
d02b48c6 | 251 | } |
dfeab068 | 252 | i=BN_get_flags(a,BN_FLG_MALLOCED); |
43d60164 | 253 | OPENSSL_cleanse(a,sizeof(BIGNUM)); |
dfeab068 | 254 | if (i) |
26a3a48d | 255 | OPENSSL_free(a); |
d02b48c6 RE |
256 | } |
257 | ||
6b691a5c | 258 | void BN_free(BIGNUM *a) |
d02b48c6 RE |
259 | { |
260 | if (a == NULL) return; | |
2bfd2c74 | 261 | bn_check_top(a); |
dfeab068 | 262 | if ((a->d != NULL) && !(BN_get_flags(a,BN_FLG_STATIC_DATA))) |
26a3a48d | 263 | OPENSSL_free(a->d); |
dfeab068 | 264 | if (a->flags & BN_FLG_MALLOCED) |
26a3a48d | 265 | OPENSSL_free(a); |
2ae1ea37 GT |
266 | else |
267 | { | |
21933811 | 268 | #ifndef OPENSSL_NO_DEPRECATED |
2ae1ea37 GT |
269 | a->flags|=BN_FLG_FREE; |
270 | #endif | |
271 | a->d = NULL; | |
272 | } | |
dfeab068 RE |
273 | } |
274 | ||
6b691a5c | 275 | void BN_init(BIGNUM *a) |
dfeab068 RE |
276 | { |
277 | memset(a,0,sizeof(BIGNUM)); | |
d870740c | 278 | bn_check_top(a); |
d02b48c6 RE |
279 | } |
280 | ||
6b691a5c | 281 | BIGNUM *BN_new(void) |
d02b48c6 RE |
282 | { |
283 | BIGNUM *ret; | |
d02b48c6 | 284 | |
26a3a48d | 285 | if ((ret=(BIGNUM *)OPENSSL_malloc(sizeof(BIGNUM))) == NULL) |
dfeab068 RE |
286 | { |
287 | BNerr(BN_F_BN_NEW,ERR_R_MALLOC_FAILURE); | |
288 | return(NULL); | |
289 | } | |
290 | ret->flags=BN_FLG_MALLOCED; | |
d02b48c6 RE |
291 | ret->top=0; |
292 | ret->neg=0; | |
2d978cbd | 293 | ret->dmax=0; |
dfeab068 | 294 | ret->d=NULL; |
d870740c | 295 | bn_check_top(ret); |
d02b48c6 | 296 | return(ret); |
d02b48c6 RE |
297 | } |
298 | ||
020fc820 RL |
299 | /* This is used both by bn_expand2() and bn_dup_expand() */ |
300 | /* The caller MUST check that words > b->dmax before calling this */ | |
6343829a | 301 | static BN_ULONG *bn_expand_internal(const BIGNUM *b, int words) |
d02b48c6 | 302 | { |
020fc820 | 303 | BN_ULONG *A,*a = NULL; |
e14d4443 UM |
304 | const BN_ULONG *B; |
305 | int i; | |
dfeab068 | 306 | |
2bfd2c74 GT |
307 | bn_check_top(b); |
308 | ||
152a689c BM |
309 | if (words > (INT_MAX/(4*BN_BITS2))) |
310 | { | |
e5164b70 | 311 | BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_BIGNUM_TOO_LONG); |
152a689c BM |
312 | return NULL; |
313 | } | |
020fc820 | 314 | if (BN_get_flags(b,BN_FLG_STATIC_DATA)) |
d02b48c6 | 315 | { |
a08bcccc | 316 | BNerr(BN_F_BN_EXPAND_INTERNAL,BN_R_EXPAND_ON_STATIC_BIGNUM_DATA); |
020fc820 RL |
317 | return(NULL); |
318 | } | |
e042540f | 319 | a=A=(BN_ULONG *)OPENSSL_malloc(sizeof(BN_ULONG)*words); |
020fc820 RL |
320 | if (A == NULL) |
321 | { | |
a08bcccc | 322 | BNerr(BN_F_BN_EXPAND_INTERNAL,ERR_R_MALLOC_FAILURE); |
020fc820 RL |
323 | return(NULL); |
324 | } | |
f8571ce8 MC |
325 | #ifdef PURIFY |
326 | /* Valgrind complains in BN_consttime_swap because we process the whole | |
327 | * array even if it's not initialised yet. This doesn't matter in that | |
328 | * function - what's important is constant time operation (we're not | |
329 | * actually going to use the data) | |
330 | */ | |
331 | memset(a, 0, sizeof(BN_ULONG)*words); | |
332 | #endif | |
333 | ||
dfeab068 | 334 | #if 1 |
020fc820 RL |
335 | B=b->d; |
336 | /* Check if the previous number needs to be copied */ | |
337 | if (B != NULL) | |
338 | { | |
020fc820 RL |
339 | for (i=b->top>>2; i>0; i--,A+=4,B+=4) |
340 | { | |
341 | /* | |
342 | * The fact that the loop is unrolled | |
343 | * 4-wise is a tribute to Intel. It's | |
344 | * the one that doesn't have enough | |
345 | * registers to accomodate more data. | |
346 | * I'd unroll it 8-wise otherwise:-) | |
347 | * | |
348 | * <appro@fy.chalmers.se> | |
349 | */ | |
350 | BN_ULONG a0,a1,a2,a3; | |
351 | a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3]; | |
352 | A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3; | |
953937bd | 353 | } |
020fc820 | 354 | switch (b->top&3) |
953937bd | 355 | { |
020fc820 RL |
356 | case 3: A[2]=B[2]; |
357 | case 2: A[1]=B[1]; | |
358 | case 1: A[0]=B[0]; | |
dbd87ffc MC |
359 | case 0: |
360 | /* | |
361 | * workaround for ultrix cc: without 'case 0', the optimizer does | |
362 | * the switch table by doing a=top&3; a--; goto jump_table[a]; | |
363 | * which fails for top== 0 | |
364 | */ | |
a08bcccc | 365 | ; |
953937bd | 366 | } |
020fc820 RL |
367 | } |
368 | ||
dfeab068 | 369 | #else |
e042540f | 370 | memset(A,0,sizeof(BN_ULONG)*words); |
020fc820 | 371 | memcpy(A,b->d,sizeof(b->d[0])*b->top); |
dfeab068 RE |
372 | #endif |
373 | ||
020fc820 RL |
374 | return(a); |
375 | } | |
dfeab068 | 376 | |
020fc820 | 377 | /* This is an internal function that should not be used in applications. |
12593e6f | 378 | * It ensures that 'b' has enough room for a 'words' word number |
33d4e690 | 379 | * and initialises any unused part of b->d with leading zeros. |
020fc820 RL |
380 | * It is mostly used by the various BIGNUM routines. If there is an error, |
381 | * NULL is returned. If not, 'b' is returned. */ | |
382 | ||
6343829a | 383 | BIGNUM *bn_expand2(BIGNUM *b, int words) |
020fc820 | 384 | { |
2bfd2c74 GT |
385 | bn_check_top(b); |
386 | ||
020fc820 RL |
387 | if (words > b->dmax) |
388 | { | |
a08bcccc | 389 | BN_ULONG *a = bn_expand_internal(b, words); |
2bfd2c74 GT |
390 | if(!a) return NULL; |
391 | if(b->d) OPENSSL_free(b->d); | |
392 | b->d=a; | |
393 | b->dmax=words; | |
d02b48c6 | 394 | } |
2bfd2c74 | 395 | |
e042540f GT |
396 | /* None of this should be necessary because of what b->top means! */ |
397 | #if 0 | |
12593e6f | 398 | /* NB: bn_wexpand() calls this only if the BIGNUM really has to grow */ |
2bfd2c74 | 399 | if (b->top < b->dmax) |
12593e6f | 400 | { |
e042540f GT |
401 | int i; |
402 | BN_ULONG *A = &(b->d[b->top]); | |
18384774 | 403 | for (i=(b->dmax - b->top)>>3; i>0; i--,A+=8) |
33d4e690 BM |
404 | { |
405 | A[0]=0; A[1]=0; A[2]=0; A[3]=0; | |
406 | A[4]=0; A[5]=0; A[6]=0; A[7]=0; | |
407 | } | |
18384774 | 408 | for (i=(b->dmax - b->top)&7; i>0; i--,A++) |
33d4e690 | 409 | A[0]=0; |
18384774 | 410 | assert(A == &(b->d[b->dmax])); |
12593e6f | 411 | } |
e042540f | 412 | #endif |
2bfd2c74 | 413 | bn_check_top(b); |
020fc820 | 414 | return b; |
d02b48c6 RE |
415 | } |
416 | ||
84c15db5 | 417 | BIGNUM *BN_dup(const BIGNUM *a) |
d02b48c6 | 418 | { |
2bfd2c74 | 419 | BIGNUM *t; |
d02b48c6 | 420 | |
8d85b33e | 421 | if (a == NULL) return NULL; |
dfeab068 RE |
422 | bn_check_top(a); |
423 | ||
e0bf5c11 | 424 | t = BN_new(); |
2bfd2c74 GT |
425 | if (t == NULL) return NULL; |
426 | if(!BN_copy(t, a)) | |
427 | { | |
e0bf5c11 | 428 | BN_free(t); |
2bfd2c74 GT |
429 | return NULL; |
430 | } | |
431 | bn_check_top(t); | |
432 | return t; | |
d02b48c6 RE |
433 | } |
434 | ||
84c15db5 | 435 | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b) |
d02b48c6 | 436 | { |
58964a49 | 437 | int i; |
e14d4443 UM |
438 | BN_ULONG *A; |
439 | const BN_ULONG *B; | |
58964a49 | 440 | |
dfeab068 RE |
441 | bn_check_top(b); |
442 | ||
58964a49 RE |
443 | if (a == b) return(a); |
444 | if (bn_wexpand(a,b->top) == NULL) return(NULL); | |
445 | ||
446 | #if 1 | |
447 | A=a->d; | |
448 | B=b->d; | |
e14d4443 | 449 | for (i=b->top>>2; i>0; i--,A+=4,B+=4) |
58964a49 | 450 | { |
e14d4443 UM |
451 | BN_ULONG a0,a1,a2,a3; |
452 | a0=B[0]; a1=B[1]; a2=B[2]; a3=B[3]; | |
453 | A[0]=a0; A[1]=a1; A[2]=a2; A[3]=a3; | |
58964a49 | 454 | } |
e14d4443 | 455 | switch (b->top&3) |
58964a49 | 456 | { |
e14d4443 UM |
457 | case 3: A[2]=B[2]; |
458 | case 2: A[1]=B[1]; | |
459 | case 1: A[0]=B[0]; | |
a08bcccc | 460 | case 0: ; /* ultrix cc workaround, see comments in bn_expand_internal */ |
58964a49 RE |
461 | } |
462 | #else | |
d02b48c6 | 463 | memcpy(a->d,b->d,sizeof(b->d[0])*b->top); |
58964a49 RE |
464 | #endif |
465 | ||
d02b48c6 RE |
466 | a->top=b->top; |
467 | a->neg=b->neg; | |
d870740c | 468 | bn_check_top(a); |
d02b48c6 RE |
469 | return(a); |
470 | } | |
471 | ||
78a0c1f1 BM |
472 | void BN_swap(BIGNUM *a, BIGNUM *b) |
473 | { | |
474 | int flags_old_a, flags_old_b; | |
475 | BN_ULONG *tmp_d; | |
476 | int tmp_top, tmp_dmax, tmp_neg; | |
477 | ||
657a9195 GT |
478 | bn_check_top(a); |
479 | bn_check_top(b); | |
480 | ||
78a0c1f1 BM |
481 | flags_old_a = a->flags; |
482 | flags_old_b = b->flags; | |
483 | ||
484 | tmp_d = a->d; | |
485 | tmp_top = a->top; | |
486 | tmp_dmax = a->dmax; | |
487 | tmp_neg = a->neg; | |
488 | ||
489 | a->d = b->d; | |
490 | a->top = b->top; | |
491 | a->dmax = b->dmax; | |
492 | a->neg = b->neg; | |
493 | ||
494 | b->d = tmp_d; | |
495 | b->top = tmp_top; | |
496 | b->dmax = tmp_dmax; | |
497 | b->neg = tmp_neg; | |
498 | ||
499 | a->flags = (flags_old_a & BN_FLG_MALLOCED) | (flags_old_b & BN_FLG_STATIC_DATA); | |
500 | b->flags = (flags_old_b & BN_FLG_MALLOCED) | (flags_old_a & BN_FLG_STATIC_DATA); | |
d870740c GT |
501 | bn_check_top(a); |
502 | bn_check_top(b); | |
78a0c1f1 BM |
503 | } |
504 | ||
6b691a5c | 505 | void BN_clear(BIGNUM *a) |
d02b48c6 | 506 | { |
657a9195 | 507 | bn_check_top(a); |
dfeab068 | 508 | if (a->d != NULL) |
2d978cbd | 509 | memset(a->d,0,a->dmax*sizeof(a->d[0])); |
d02b48c6 RE |
510 | a->top=0; |
511 | a->neg=0; | |
512 | } | |
513 | ||
020fc820 | 514 | BN_ULONG BN_get_word(const BIGNUM *a) |
d02b48c6 | 515 | { |
9088d5f2 GT |
516 | if (a->top > 1) |
517 | return BN_MASK2; | |
afbe74d3 | 518 | else if (a->top == 1) |
9088d5f2 | 519 | return a->d[0]; |
afbe74d3 GT |
520 | /* a->top == 0 */ |
521 | return 0; | |
d02b48c6 RE |
522 | } |
523 | ||
e042540f GT |
524 | int BN_set_word(BIGNUM *a, BN_ULONG w) |
525 | { | |
526 | bn_check_top(a); | |
527 | if (bn_expand(a,(int)sizeof(BN_ULONG)*8) == NULL) return(0); | |
528 | a->neg = 0; | |
529 | a->d[0] = w; | |
530 | a->top = (w ? 1 : 0); | |
531 | bn_check_top(a); | |
532 | return(1); | |
533 | } | |
d02b48c6 | 534 | |
6343829a | 535 | BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret) |
d02b48c6 RE |
536 | { |
537 | unsigned int i,m; | |
538 | unsigned int n; | |
539 | BN_ULONG l; | |
d459e390 | 540 | BIGNUM *bn = NULL; |
d02b48c6 | 541 | |
d459e390 GT |
542 | if (ret == NULL) |
543 | ret = bn = BN_new(); | |
d02b48c6 | 544 | if (ret == NULL) return(NULL); |
657a9195 | 545 | bn_check_top(ret); |
d02b48c6 RE |
546 | l=0; |
547 | n=len; | |
548 | if (n == 0) | |
549 | { | |
550 | ret->top=0; | |
551 | return(ret); | |
552 | } | |
d02b48c6 RE |
553 | i=((n-1)/BN_BYTES)+1; |
554 | m=((n-1)%(BN_BYTES)); | |
6343829a | 555 | if (bn_wexpand(ret, (int)i) == NULL) |
d459e390 GT |
556 | { |
557 | if (bn) BN_free(bn); | |
558 | return NULL; | |
559 | } | |
91616729 BM |
560 | ret->top=i; |
561 | ret->neg=0; | |
d459e390 | 562 | while (n--) |
d02b48c6 RE |
563 | { |
564 | l=(l<<8L)| *(s++); | |
565 | if (m-- == 0) | |
566 | { | |
567 | ret->d[--i]=l; | |
568 | l=0; | |
569 | m=BN_BYTES-1; | |
570 | } | |
571 | } | |
572 | /* need to call this due to clear byte at top if avoiding | |
573 | * having the top bit set (-ve number) */ | |
d870740c | 574 | bn_correct_top(ret); |
d02b48c6 RE |
575 | return(ret); |
576 | } | |
577 | ||
578 | /* ignore negative */ | |
8623f693 | 579 | int BN_bn2bin(const BIGNUM *a, unsigned char *to) |
d02b48c6 RE |
580 | { |
581 | int n,i; | |
582 | BN_ULONG l; | |
583 | ||
657a9195 | 584 | bn_check_top(a); |
d02b48c6 | 585 | n=i=BN_num_bytes(a); |
d459e390 | 586 | while (i--) |
d02b48c6 RE |
587 | { |
588 | l=a->d[i/BN_BYTES]; | |
589 | *(to++)=(unsigned char)(l>>(8*(i%BN_BYTES)))&0xff; | |
590 | } | |
591 | return(n); | |
592 | } | |
593 | ||
84c15db5 | 594 | int BN_ucmp(const BIGNUM *a, const BIGNUM *b) |
d02b48c6 RE |
595 | { |
596 | int i; | |
597 | BN_ULONG t1,t2,*ap,*bp; | |
598 | ||
dfeab068 RE |
599 | bn_check_top(a); |
600 | bn_check_top(b); | |
601 | ||
d02b48c6 RE |
602 | i=a->top-b->top; |
603 | if (i != 0) return(i); | |
604 | ap=a->d; | |
605 | bp=b->d; | |
606 | for (i=a->top-1; i>=0; i--) | |
607 | { | |
608 | t1= ap[i]; | |
609 | t2= bp[i]; | |
610 | if (t1 != t2) | |
2bfd2c74 | 611 | return((t1 > t2) ? 1 : -1); |
d02b48c6 RE |
612 | } |
613 | return(0); | |
614 | } | |
615 | ||
84c15db5 | 616 | int BN_cmp(const BIGNUM *a, const BIGNUM *b) |
d02b48c6 RE |
617 | { |
618 | int i; | |
619 | int gt,lt; | |
620 | BN_ULONG t1,t2; | |
621 | ||
622 | if ((a == NULL) || (b == NULL)) | |
623 | { | |
624 | if (a != NULL) | |
625 | return(-1); | |
626 | else if (b != NULL) | |
627 | return(1); | |
628 | else | |
629 | return(0); | |
630 | } | |
dfeab068 RE |
631 | |
632 | bn_check_top(a); | |
633 | bn_check_top(b); | |
634 | ||
d02b48c6 RE |
635 | if (a->neg != b->neg) |
636 | { | |
637 | if (a->neg) | |
638 | return(-1); | |
639 | else return(1); | |
640 | } | |
641 | if (a->neg == 0) | |
642 | { gt=1; lt= -1; } | |
643 | else { gt= -1; lt=1; } | |
644 | ||
645 | if (a->top > b->top) return(gt); | |
646 | if (a->top < b->top) return(lt); | |
647 | for (i=a->top-1; i>=0; i--) | |
648 | { | |
649 | t1=a->d[i]; | |
650 | t2=b->d[i]; | |
651 | if (t1 > t2) return(gt); | |
652 | if (t1 < t2) return(lt); | |
653 | } | |
654 | return(0); | |
655 | } | |
656 | ||
6b691a5c | 657 | int BN_set_bit(BIGNUM *a, int n) |
d02b48c6 | 658 | { |
6343829a | 659 | int i,j,k; |
d02b48c6 | 660 | |
1a017330 UM |
661 | if (n < 0) |
662 | return 0; | |
663 | ||
d02b48c6 RE |
664 | i=n/BN_BITS2; |
665 | j=n%BN_BITS2; | |
58964a49 RE |
666 | if (a->top <= i) |
667 | { | |
dfeab068 RE |
668 | if (bn_wexpand(a,i+1) == NULL) return(0); |
669 | for(k=a->top; k<i+1; k++) | |
670 | a->d[k]=0; | |
58964a49 RE |
671 | a->top=i+1; |
672 | } | |
d02b48c6 | 673 | |
e14d4443 | 674 | a->d[i]|=(((BN_ULONG)1)<<j); |
d870740c | 675 | bn_check_top(a); |
d02b48c6 RE |
676 | return(1); |
677 | } | |
678 | ||
6b691a5c | 679 | int BN_clear_bit(BIGNUM *a, int n) |
d02b48c6 RE |
680 | { |
681 | int i,j; | |
682 | ||
2bfd2c74 GT |
683 | bn_check_top(a); |
684 | if (n < 0) return 0; | |
1a017330 | 685 | |
d02b48c6 RE |
686 | i=n/BN_BITS2; |
687 | j=n%BN_BITS2; | |
688 | if (a->top <= i) return(0); | |
689 | ||
e14d4443 | 690 | a->d[i]&=(~(((BN_ULONG)1)<<j)); |
d870740c | 691 | bn_correct_top(a); |
d02b48c6 RE |
692 | return(1); |
693 | } | |
694 | ||
84c15db5 | 695 | int BN_is_bit_set(const BIGNUM *a, int n) |
d02b48c6 RE |
696 | { |
697 | int i,j; | |
698 | ||
2bfd2c74 GT |
699 | bn_check_top(a); |
700 | if (n < 0) return 0; | |
d02b48c6 RE |
701 | i=n/BN_BITS2; |
702 | j=n%BN_BITS2; | |
2bfd2c74 | 703 | if (a->top <= i) return 0; |
a68c7b91 | 704 | return (int)(((a->d[i])>>j)&((BN_ULONG)1)); |
d02b48c6 RE |
705 | } |
706 | ||
6b691a5c | 707 | int BN_mask_bits(BIGNUM *a, int n) |
d02b48c6 RE |
708 | { |
709 | int b,w; | |
710 | ||
2bfd2c74 GT |
711 | bn_check_top(a); |
712 | if (n < 0) return 0; | |
1a017330 | 713 | |
d02b48c6 RE |
714 | w=n/BN_BITS2; |
715 | b=n%BN_BITS2; | |
2bfd2c74 | 716 | if (w >= a->top) return 0; |
d02b48c6 RE |
717 | if (b == 0) |
718 | a->top=w; | |
719 | else | |
720 | { | |
721 | a->top=w+1; | |
722 | a->d[w]&= ~(BN_MASK2<<b); | |
d02b48c6 | 723 | } |
d870740c | 724 | bn_correct_top(a); |
d02b48c6 RE |
725 | return(1); |
726 | } | |
dfeab068 | 727 | |
ff22e913 NL |
728 | void BN_set_negative(BIGNUM *a, int b) |
729 | { | |
730 | if (b && !BN_is_zero(a)) | |
731 | a->neg = 1; | |
732 | else | |
733 | a->neg = 0; | |
734 | } | |
735 | ||
cbd48ba6 | 736 | int bn_cmp_words(const BN_ULONG *a, const BN_ULONG *b, int n) |
dfeab068 RE |
737 | { |
738 | int i; | |
739 | BN_ULONG aa,bb; | |
740 | ||
741 | aa=a[n-1]; | |
742 | bb=b[n-1]; | |
743 | if (aa != bb) return((aa > bb)?1:-1); | |
744 | for (i=n-2; i>=0; i--) | |
745 | { | |
746 | aa=a[i]; | |
747 | bb=b[i]; | |
748 | if (aa != bb) return((aa > bb)?1:-1); | |
749 | } | |
750 | return(0); | |
751 | } | |
52a1bab2 | 752 | |
c21c35e6 RL |
753 | /* Here follows a specialised variants of bn_cmp_words(). It has the |
754 | property of performing the operation on arrays of different sizes. | |
755 | The sizes of those arrays is expressed through cl, which is the | |
756 | common length ( basicall, min(len(a),len(b)) ), and dl, which is the | |
757 | delta between the two lengths, calculated as len(a)-len(b). | |
758 | All lengths are the number of BN_ULONGs... */ | |
759 | ||
52a1bab2 UM |
760 | int bn_cmp_part_words(const BN_ULONG *a, const BN_ULONG *b, |
761 | int cl, int dl) | |
762 | { | |
763 | int n,i; | |
764 | n = cl-1; | |
765 | ||
766 | if (dl < 0) | |
767 | { | |
b26f84cb | 768 | for (i=dl; i<0; i++) |
52a1bab2 | 769 | { |
b26f84cb | 770 | if (b[n-i] != 0) |
52a1bab2 UM |
771 | return -1; /* a < b */ |
772 | } | |
773 | } | |
774 | if (dl > 0) | |
775 | { | |
776 | for (i=dl; i>0; i--) | |
777 | { | |
778 | if (a[n+i] != 0) | |
779 | return 1; /* a > b */ | |
780 | } | |
781 | } | |
782 | return bn_cmp_words(a,b,cl); | |
783 | } | |
f9b6c0ba DSH |
784 | |
785 | /* | |
786 | * Constant-time conditional swap of a and b. | |
787 | * a and b are swapped if condition is not 0. The code assumes that at most one bit of condition is set. | |
788 | * nwords is the number of words to swap. The code assumes that at least nwords are allocated in both a and b, | |
789 | * and that no more than nwords are used by either a or b. | |
790 | * a and b cannot be the same number | |
791 | */ | |
792 | void BN_consttime_swap(BN_ULONG condition, BIGNUM *a, BIGNUM *b, int nwords) | |
793 | { | |
794 | BN_ULONG t; | |
795 | int i; | |
796 | ||
797 | bn_wcheck_size(a, nwords); | |
798 | bn_wcheck_size(b, nwords); | |
799 | ||
800 | assert(a != b); | |
801 | assert((condition & (condition - 1)) == 0); | |
802 | assert(sizeof(BN_ULONG) >= sizeof(int)); | |
803 | ||
804 | condition = ((condition - 1) >> (BN_BITS2 - 1)) - 1; | |
805 | ||
806 | t = (a->top^b->top) & condition; | |
807 | a->top ^= t; | |
808 | b->top ^= t; | |
809 | ||
810 | #define BN_CONSTTIME_SWAP(ind) \ | |
811 | do { \ | |
812 | t = (a->d[ind] ^ b->d[ind]) & condition; \ | |
813 | a->d[ind] ^= t; \ | |
814 | b->d[ind] ^= t; \ | |
815 | } while (0) | |
816 | ||
817 | ||
818 | switch (nwords) { | |
819 | default: | |
820 | for (i = 10; i < nwords; i++) | |
821 | BN_CONSTTIME_SWAP(i); | |
822 | /* Fallthrough */ | |
823 | case 10: BN_CONSTTIME_SWAP(9); /* Fallthrough */ | |
824 | case 9: BN_CONSTTIME_SWAP(8); /* Fallthrough */ | |
825 | case 8: BN_CONSTTIME_SWAP(7); /* Fallthrough */ | |
826 | case 7: BN_CONSTTIME_SWAP(6); /* Fallthrough */ | |
827 | case 6: BN_CONSTTIME_SWAP(5); /* Fallthrough */ | |
828 | case 5: BN_CONSTTIME_SWAP(4); /* Fallthrough */ | |
829 | case 4: BN_CONSTTIME_SWAP(3); /* Fallthrough */ | |
830 | case 3: BN_CONSTTIME_SWAP(2); /* Fallthrough */ | |
831 | case 2: BN_CONSTTIME_SWAP(1); /* Fallthrough */ | |
832 | case 1: BN_CONSTTIME_SWAP(0); | |
833 | } | |
834 | #undef BN_CONSTTIME_SWAP | |
835 | } | |
2514fa79 DSH |
836 | |
837 | /* Bits of security, see SP800-57 */ | |
838 | ||
839 | int BN_security_bits(int L, int N) | |
840 | { | |
841 | int secbits, bits; | |
842 | if (L >= 15360) | |
843 | secbits = 256; | |
844 | else if (L >= 7690) | |
845 | secbits = 192; | |
846 | else if (L >= 3072) | |
847 | secbits = 128; | |
848 | else if (L >= 2048) | |
849 | secbits = 112; | |
850 | else if (L >= 1024) | |
851 | secbits = 80; | |
852 | else | |
853 | return 0; | |
854 | if (N == -1) | |
855 | return secbits; | |
856 | bits = N / 2; | |
857 | if (bits < 80) | |
858 | return 0; | |
859 | return bits >= secbits ? secbits : bits; | |
860 | } | |
85bcf27c MC |
861 | |
862 | ||
863 | void BN_zero_ex(BIGNUM *a) | |
864 | { | |
865 | a->top = 0; | |
866 | a->neg = 0; | |
867 | } | |
868 | ||
869 | int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w) | |
870 | { | |
871 | return ((a->top == 1) && (a->d[0] == w)) || ((w == 0) && (a->top == 0)); | |
872 | } | |
873 | ||
874 | int BN_is_zero(const BIGNUM *a) | |
875 | { | |
876 | return a->top == 0; | |
877 | } | |
878 | ||
879 | int BN_is_one(const BIGNUM *a) | |
880 | { | |
881 | return BN_abs_is_word(a, 1) && !a->neg; | |
882 | } | |
883 | ||
884 | int BN_is_word(const BIGNUM *a, const BN_ULONG w) | |
885 | { | |
886 | return BN_abs_is_word(a, w) && (!w || !a->neg); | |
887 | } | |
888 | ||
889 | int BN_is_odd(const BIGNUM *a) | |
890 | { | |
891 | return (a->top > 0) && (a->d[0] & 1); | |
892 | } | |
893 | ||
894 | int BN_is_negative(const BIGNUM *a) | |
895 | { | |
896 | return (a->neg != 0); | |
897 | } | |
898 | ||
899 | int BN_to_montgomery(BIGNUM *r,const BIGNUM *a, BN_MONT_CTX *mont, BN_CTX *ctx) | |
900 | { | |
901 | return BN_mod_mul_montgomery(r,a,&(mont->RR),mont,ctx); | |
902 | } | |
903 | ||
904 | void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int n) | |
905 | { | |
906 | dest->d=b->d; | |
907 | dest->top=b->top; | |
908 | dest->dmax=b->dmax; | |
909 | dest->neg=b->neg; | |
910 | dest->flags=((dest->flags & BN_FLG_MALLOCED) | |
911 | | (b->flags & ~BN_FLG_MALLOCED) | |
912 | | BN_FLG_STATIC_DATA | |
913 | | n); | |
914 | } | |
915 | ||
916 | BN_GENCB *BN_GENCB_new(void) | |
917 | { | |
918 | BN_GENCB *ret; | |
919 | ||
920 | if ((ret=(BN_GENCB *)OPENSSL_malloc(sizeof(BN_GENCB))) == NULL) | |
921 | { | |
922 | BNerr(BN_F_BN_GENCB_NEW,ERR_R_MALLOC_FAILURE); | |
923 | return(NULL); | |
924 | } | |
925 | ||
926 | return ret; | |
927 | } | |
928 | ||
929 | void BN_GENCB_free(BN_GENCB *cb) | |
930 | { | |
931 | if (cb == NULL) return; | |
932 | OPENSSL_free(cb); | |
933 | } | |
934 | ||
935 | void BN_set_flags(BIGNUM *b, int n) | |
936 | { | |
937 | b->flags|=n; | |
938 | } | |
939 | ||
940 | int BN_get_flags(const BIGNUM *b, int n) | |
941 | { | |
942 | return b->flags&n; | |
943 | } | |
944 | ||
945 | /* Populate a BN_GENCB structure with an "old"-style callback */ | |
946 | void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback)(int, int, void *), void *cb_arg) | |
947 | { | |
948 | BN_GENCB *tmp_gencb = gencb; | |
949 | tmp_gencb->ver = 1; | |
950 | tmp_gencb->arg = cb_arg; | |
951 | tmp_gencb->cb.cb_1 = callback; | |
952 | } | |
953 | ||
954 | /* Populate a BN_GENCB structure with a "new"-style callback */ | |
955 | void BN_GENCB_set(BN_GENCB *gencb, int (*callback)(int, int, BN_GENCB *), void *cb_arg) | |
956 | { | |
957 | BN_GENCB *tmp_gencb = gencb; | |
958 | tmp_gencb->ver = 2; | |
959 | tmp_gencb->arg = cb_arg; | |
960 | tmp_gencb->cb.cb_2 = callback; | |
961 | } | |
962 | ||
963 | void *BN_GENCB_get_arg(BN_GENCB *cb) | |
964 | { | |
965 | return cb->arg; | |
966 | } | |
967 | ||
968 | ||
969 | BIGNUM *bn_wexpand(BIGNUM *a, int words) | |
970 | { | |
971 | return (words <= a->dmax)?a:bn_expand2(a,words); | |
972 | } | |
973 | ||
974 | void bn_correct_top(BIGNUM *a) | |
975 | { | |
976 | BN_ULONG *ftl; | |
977 | int tmp_top = a->top; | |
978 | ||
979 | if (tmp_top > 0) | |
980 | { | |
981 | for (ftl= &(a->d[tmp_top-1]); tmp_top > 0; tmp_top--) | |
982 | if (*(ftl--)) break; | |
983 | a->top = tmp_top; | |
984 | } | |
985 | bn_pollute(a); | |
986 | } |