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1 | /* | |
2 | * Copyright (c) 2000-2001 Apple Computer, Inc. All Rights Reserved. | |
3 | * | |
4 | * The contents of this file constitute Original Code as defined in and are | |
5 | * subject to the Apple Public Source License Version 1.2 (the 'License'). | |
6 | * You may not use this file except in compliance with the License. Please obtain | |
7 | * a copy of the License at http://www.apple.com/publicsource and read it before | |
8 | * using this file. | |
9 | * | |
10 | * This Original Code and all software distributed under the License are | |
11 | * distributed on an 'AS IS' basis, WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESS | |
12 | * OR IMPLIED, AND APPLE HEREBY DISCLAIMS ALL SUCH WARRANTIES, INCLUDING WITHOUT | |
13 | * LIMITATION, ANY WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR | |
14 | * PURPOSE, QUIET ENJOYMENT OR NON-INFRINGEMENT. Please see the License for the | |
15 | * specific language governing rights and limitations under the License. | |
16 | */ | |
17 | ||
18 | ||
19 | /* crypto/bn/bn.h */ | |
20 | /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com) | |
21 | * All rights reserved. | |
22 | * | |
23 | * This package is an SSL implementation written | |
24 | * by Eric Young (eay@cryptsoft.com). | |
25 | * The implementation was written so as to conform with Netscapes SSL. | |
26 | * | |
27 | * This library is free for commercial and non-commercial use as long as | |
28 | * the following conditions are aheared to. The following conditions | |
29 | * apply to all code found in this distribution, be it the RC4, RSA, | |
30 | * lhash, DES, etc., code; not just the SSL code. The SSL documentation | |
31 | * included with this distribution is covered by the same copyright terms | |
32 | * except that the holder is Tim Hudson (tjh@cryptsoft.com). | |
33 | * | |
34 | * Copyright remains Eric Young's, and as such any Copyright notices in | |
35 | * the code are not to be removed. | |
36 | * If this package is used in a product, Eric Young should be given attribution | |
37 | * as the author of the parts of the library used. | |
38 | * This can be in the form of a textual message at program startup or | |
39 | * in documentation (online or textual) provided with the package. | |
40 | * | |
41 | * Redistribution and use in source and binary forms, with or without | |
42 | * modification, are permitted provided that the following conditions | |
43 | * are met: | |
44 | * 1. Redistributions of source code must retain the copyright | |
45 | * notice, this list of conditions and the following disclaimer. | |
46 | * 2. Redistributions in binary form must reproduce the above copyright | |
47 | * notice, this list of conditions and the following disclaimer in the | |
48 | * documentation and/or other materials provided with the distribution. | |
49 | * 3. All advertising materials mentioning features or use of this software | |
50 | * must display the following acknowledgement: | |
51 | * "This product includes cryptographic software written by | |
52 | * Eric Young (eay@cryptsoft.com)" | |
53 | * The word 'cryptographic' can be left out if the rouines from the library | |
54 | * being used are not cryptographic related :-). | |
55 | * 4. If you include any Windows specific code (or a derivative thereof) from | |
56 | * the apps directory (application code) you must include an acknowledgement: | |
57 | * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" | |
58 | * | |
59 | * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND | |
60 | * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | |
61 | * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE | |
62 | * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE | |
63 | * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL | |
64 | * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS | |
65 | * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | |
66 | * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | |
67 | * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY | |
68 | * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF | |
69 | * SUCH DAMAGE. | |
70 | * | |
71 | * The licence and distribution terms for any publically available version or | |
72 | * derivative of this code cannot be changed. i.e. this code cannot simply be | |
73 | * copied and put under another distribution licence | |
74 | * [including the GNU Public Licence.] | |
75 | */ | |
76 | ||
77 | #ifndef HEADER_BN_H | |
78 | #define HEADER_BN_H | |
79 | ||
80 | #ifndef WIN16 | |
81 | #include <stdio.h> /* FILE */ | |
82 | #endif | |
83 | #include <openssl/opensslconf.h> | |
84 | ||
85 | #ifdef __cplusplus | |
86 | extern "C" { | |
87 | #endif | |
88 | ||
89 | #ifdef VMS | |
90 | #undef BN_LLONG /* experimental, so far... */ | |
91 | #endif | |
92 | ||
93 | #define BN_MUL_COMBA | |
94 | #define BN_SQR_COMBA | |
95 | #define BN_RECURSION | |
96 | #define RECP_MUL_MOD | |
97 | #define MONT_MUL_MOD | |
98 | ||
99 | /* This next option uses the C libraries (2 word)/(1 word) function. | |
100 | * If it is not defined, I use my C version (which is slower). | |
101 | * The reason for this flag is that when the particular C compiler | |
102 | * library routine is used, and the library is linked with a different | |
103 | * compiler, the library is missing. This mostly happens when the | |
104 | * library is built with gcc and then linked using normal cc. This would | |
105 | * be a common occurrence because gcc normally produces code that is | |
106 | * 2 times faster than system compilers for the big number stuff. | |
107 | * For machines with only one compiler (or shared libraries), this should | |
108 | * be on. Again this in only really a problem on machines | |
109 | * using "long long's", are 32bit, and are not using my assembler code. */ | |
110 | #if defined(MSDOS) || defined(WINDOWS) || defined(WIN32) || defined(linux) | |
111 | #define BN_DIV2W | |
112 | #endif | |
113 | ||
114 | /* assuming long is 64bit - this is the DEC Alpha | |
115 | * unsigned long long is only 64 bits :-(, don't define | |
116 | * BN_LLONG for the DEC Alpha */ | |
117 | #ifdef SIXTY_FOUR_BIT_LONG | |
118 | #define BN_ULLONG unsigned long long | |
119 | #define BN_ULONG unsigned long | |
120 | #define BN_LONG long | |
121 | #define BN_BITS 128 | |
122 | #define BN_BYTES 8 | |
123 | #define BN_BITS2 64 | |
124 | #define BN_BITS4 32 | |
125 | #define BN_MASK (0xffffffffffffffffffffffffffffffffLL) | |
126 | #define BN_MASK2 (0xffffffffffffffffL) | |
127 | #define BN_MASK2l (0xffffffffL) | |
128 | #define BN_MASK2h (0xffffffff00000000L) | |
129 | #define BN_MASK2h1 (0xffffffff80000000L) | |
130 | #define BN_TBIT (0x8000000000000000L) | |
131 | #define BN_DEC_CONV (10000000000000000000UL) | |
132 | #define BN_DEC_FMT1 "%lu" | |
133 | #define BN_DEC_FMT2 "%019lu" | |
134 | #define BN_DEC_NUM 19 | |
135 | #endif | |
136 | ||
137 | /* This is where the long long data type is 64 bits, but long is 32. | |
138 | * For machines where there are 64bit registers, this is the mode to use. | |
139 | * IRIX, on R4000 and above should use this mode, along with the relevant | |
140 | * assembler code :-). Do NOT define BN_LLONG. | |
141 | */ | |
142 | #ifdef SIXTY_FOUR_BIT | |
143 | #undef BN_LLONG | |
144 | #undef BN_ULLONG | |
145 | #define BN_ULONG unsigned long long | |
146 | #define BN_LONG long long | |
147 | #define BN_BITS 128 | |
148 | #define BN_BYTES 8 | |
149 | #define BN_BITS2 64 | |
150 | #define BN_BITS4 32 | |
151 | #define BN_MASK2 (0xffffffffffffffffLL) | |
152 | #define BN_MASK2l (0xffffffffL) | |
153 | #define BN_MASK2h (0xffffffff00000000LL) | |
154 | #define BN_MASK2h1 (0xffffffff80000000LL) | |
155 | #define BN_TBIT (0x8000000000000000LL) | |
156 | #define BN_DEC_CONV (10000000000000000000LL) | |
157 | #define BN_DEC_FMT1 "%llu" | |
158 | #define BN_DEC_FMT2 "%019llu" | |
159 | #define BN_DEC_NUM 19 | |
160 | #endif | |
161 | ||
162 | #ifdef THIRTY_TWO_BIT | |
163 | #if defined(WIN32) && !defined(__GNUC__) | |
164 | #define BN_ULLONG unsigned _int64 | |
165 | #elif defined(__LP64__) | |
166 | #define BN_ULLONG unsigned | |
167 | #else | |
168 | #define BN_ULLONG unsigned long long | |
169 | #endif | |
170 | #ifdef __LP64__ | |
171 | /* still 32 bits here */ | |
172 | #define BN_ULONG unsigned | |
173 | #define BN_LONG int | |
174 | #else | |
175 | #define BN_ULONG unsigned long | |
176 | #define BN_LONG long | |
177 | #endif | |
178 | #define BN_BITS 64 | |
179 | #define BN_BYTES 4 | |
180 | #define BN_BITS2 32 | |
181 | #define BN_BITS4 16 | |
182 | #ifdef WIN32 | |
183 | /* VC++ doesn't like the LL suffix */ | |
184 | #define BN_MASK (0xffffffffffffffffL) | |
185 | #else | |
186 | #define BN_MASK (0xffffffffffffffffLL) | |
187 | #endif | |
188 | #define BN_MASK2 (0xffffffffL) | |
189 | #define BN_MASK2l (0xffff) | |
190 | #define BN_MASK2h1 (0xffff8000L) | |
191 | #define BN_MASK2h (0xffff0000L) | |
192 | #define BN_TBIT (0x80000000L) | |
193 | #define BN_DEC_CONV (1000000000L) | |
194 | #define BN_DEC_FMT1 "%lu" | |
195 | #define BN_DEC_FMT2 "%09lu" | |
196 | #define BN_DEC_NUM 9 | |
197 | #endif | |
198 | ||
199 | #ifdef SIXTEEN_BIT | |
200 | #ifndef BN_DIV2W | |
201 | #define BN_DIV2W | |
202 | #endif | |
203 | #define BN_ULLONG unsigned long | |
204 | #define BN_ULONG unsigned short | |
205 | #define BN_LONG short | |
206 | #define BN_BITS 32 | |
207 | #define BN_BYTES 2 | |
208 | #define BN_BITS2 16 | |
209 | #define BN_BITS4 8 | |
210 | #define BN_MASK (0xffffffff) | |
211 | #define BN_MASK2 (0xffff) | |
212 | #define BN_MASK2l (0xff) | |
213 | #define BN_MASK2h1 (0xff80) | |
214 | #define BN_MASK2h (0xff00) | |
215 | #define BN_TBIT (0x8000) | |
216 | #define BN_DEC_CONV (100000) | |
217 | #define BN_DEC_FMT1 "%u" | |
218 | #define BN_DEC_FMT2 "%05u" | |
219 | #define BN_DEC_NUM 5 | |
220 | #endif | |
221 | ||
222 | #ifdef EIGHT_BIT | |
223 | #ifndef BN_DIV2W | |
224 | #define BN_DIV2W | |
225 | #endif | |
226 | #define BN_ULLONG unsigned short | |
227 | #define BN_ULONG unsigned char | |
228 | #define BN_LONG char | |
229 | #define BN_BITS 16 | |
230 | #define BN_BYTES 1 | |
231 | #define BN_BITS2 8 | |
232 | #define BN_BITS4 4 | |
233 | #define BN_MASK (0xffff) | |
234 | #define BN_MASK2 (0xff) | |
235 | #define BN_MASK2l (0xf) | |
236 | #define BN_MASK2h1 (0xf8) | |
237 | #define BN_MASK2h (0xf0) | |
238 | #define BN_TBIT (0x80) | |
239 | #define BN_DEC_CONV (100) | |
240 | #define BN_DEC_FMT1 "%u" | |
241 | #define BN_DEC_FMT2 "%02u" | |
242 | #define BN_DEC_NUM 2 | |
243 | #endif | |
244 | ||
245 | #define BN_DEFAULT_BITS 1280 | |
246 | ||
247 | #ifdef BIGNUM | |
248 | #undef BIGNUM | |
249 | #endif | |
250 | ||
251 | #define BN_FLG_MALLOCED 0x01 | |
252 | #define BN_FLG_STATIC_DATA 0x02 | |
253 | #define BN_FLG_FREE 0x8000 /* used for debuging */ | |
254 | #define BN_set_flags(b,n) ((b)->flags|=(n)) | |
255 | #define BN_get_flags(b,n) ((b)->flags&(n)) | |
256 | ||
257 | typedef struct bignum_st | |
258 | { | |
259 | BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */ | |
260 | int top; /* Index of last used d +1. */ | |
261 | /* The next are internal book keeping for bn_expand. */ | |
262 | int max; /* Size of the d array. */ | |
263 | int neg; /* one if the number is negative */ | |
264 | int flags; | |
265 | } BIGNUM; | |
266 | ||
267 | /* Used for temp variables */ | |
268 | #define BN_CTX_NUM 12 | |
269 | #define BN_CTX_NUM_POS 12 | |
270 | typedef struct bignum_ctx | |
271 | { | |
272 | int tos; | |
273 | BIGNUM bn[BN_CTX_NUM]; | |
274 | int flags; | |
275 | int depth; | |
276 | int pos[BN_CTX_NUM_POS]; | |
277 | int too_many; | |
278 | } BN_CTX; | |
279 | ||
280 | typedef struct bn_blinding_st | |
281 | { | |
282 | int init; | |
283 | BIGNUM *A; | |
284 | BIGNUM *Ai; | |
285 | BIGNUM *mod; /* just a reference */ | |
286 | } BN_BLINDING; | |
287 | ||
288 | /* Used for montgomery multiplication */ | |
289 | typedef struct bn_mont_ctx_st | |
290 | { | |
291 | int ri; /* number of bits in R */ | |
292 | BIGNUM RR; /* used to convert to montgomery form */ | |
293 | BIGNUM N; /* The modulus */ | |
294 | BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 | |
295 | * (Ni is only stored for bignum algorithm) */ | |
296 | BN_ULONG n0; /* least significant word of Ni */ | |
297 | int flags; | |
298 | } BN_MONT_CTX; | |
299 | ||
300 | /* Used for reciprocal division/mod functions | |
301 | * It cannot be shared between threads | |
302 | */ | |
303 | typedef struct bn_recp_ctx_st | |
304 | { | |
305 | BIGNUM N; /* the divisor */ | |
306 | BIGNUM Nr; /* the reciprocal */ | |
307 | int num_bits; | |
308 | int shift; | |
309 | int flags; | |
310 | } BN_RECP_CTX; | |
311 | ||
312 | #define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ | |
313 | r,a,&((mont)->RR),(mont),ctx) | |
314 | ||
315 | #define BN_prime_checks 0 /* default: select number of iterations | |
316 | based on the size of the number */ | |
317 | ||
318 | /* number of Miller-Rabin iterations for an error rate of less than 2^-80 | |
319 | * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook | |
320 | * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996]; | |
321 | * original paper: Damgaard, Landrock, Pomerance: Average case error estimates | |
322 | * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */ | |
323 | #define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \ | |
324 | (b) >= 850 ? 3 : \ | |
325 | (b) >= 650 ? 4 : \ | |
326 | (b) >= 550 ? 5 : \ | |
327 | (b) >= 450 ? 6 : \ | |
328 | (b) >= 400 ? 7 : \ | |
329 | (b) >= 350 ? 8 : \ | |
330 | (b) >= 300 ? 9 : \ | |
331 | (b) >= 250 ? 12 : \ | |
332 | (b) >= 200 ? 15 : \ | |
333 | (b) >= 150 ? 18 : \ | |
334 | /* b >= 100 */ 27) | |
335 | ||
336 | #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) | |
337 | #define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) | |
338 | #define BN_is_zero(a) (((a)->top == 0) || BN_is_word(a,0)) | |
339 | #define BN_is_one(a) (BN_is_word((a),1)) | |
340 | #define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) | |
341 | #define BN_one(a) (BN_set_word((a),1)) | |
342 | #define BN_zero(a) (BN_set_word((a),0)) | |
343 | ||
344 | /*#define BN_ascii2bn(a) BN_hex2bn(a) */ | |
345 | /*#define BN_bn2ascii(a) BN_bn2hex(a) */ | |
346 | ||
347 | BIGNUM *BN_value_one(void); | |
348 | char * BN_options(void); | |
349 | BN_CTX *BN_CTX_new(void); | |
350 | void BN_CTX_init(BN_CTX *c); | |
351 | void BN_CTX_free(BN_CTX *c); | |
352 | void BN_CTX_start(BN_CTX *ctx); | |
353 | BIGNUM *BN_CTX_get(BN_CTX *ctx); | |
354 | void BN_CTX_end(BN_CTX *ctx); | |
355 | int BN_rand(BIGNUM *rnd, int bits, int top,int bottom); | |
356 | int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom); | |
357 | int BN_rand_range(BIGNUM *rnd, BIGNUM *range); | |
358 | int BN_num_bits(const BIGNUM *a); | |
359 | int BN_num_bits_word(BN_ULONG); | |
360 | BIGNUM *BN_new(void); | |
361 | void BN_init(BIGNUM *); | |
362 | void BN_clear_free(BIGNUM *a); | |
363 | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); | |
364 | BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret); | |
365 | int BN_bn2bin(const BIGNUM *a, unsigned char *to); | |
366 | BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret); | |
367 | int BN_bn2mpi(const BIGNUM *a, unsigned char *to); | |
368 | int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
369 | int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
370 | int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
371 | int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
372 | int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); | |
373 | int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, | |
374 | BN_CTX *ctx); | |
375 | int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); | |
376 | int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx); | |
377 | BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); | |
378 | BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); | |
379 | int BN_mul_word(BIGNUM *a, BN_ULONG w); | |
380 | int BN_add_word(BIGNUM *a, BN_ULONG w); | |
381 | int BN_sub_word(BIGNUM *a, BN_ULONG w); | |
382 | int BN_set_word(BIGNUM *a, BN_ULONG w); | |
383 | BN_ULONG BN_get_word(BIGNUM *a); | |
384 | int BN_cmp(const BIGNUM *a, const BIGNUM *b); | |
385 | void BN_free(BIGNUM *a); | |
386 | int BN_is_bit_set(const BIGNUM *a, int n); | |
387 | int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); | |
388 | int BN_lshift1(BIGNUM *r, BIGNUM *a); | |
389 | int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx); | |
390 | int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p, | |
391 | const BIGNUM *m,BN_CTX *ctx); | |
392 | int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, const BIGNUM *p, | |
393 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); | |
394 | int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, | |
395 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); | |
396 | int BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2, | |
397 | BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx); | |
398 | int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p, | |
399 | BIGNUM *m,BN_CTX *ctx); | |
400 | int BN_mask_bits(BIGNUM *a,int n); | |
401 | int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx); | |
402 | #ifndef NO_FP_API | |
403 | int BN_print_fp(FILE *fp, const BIGNUM *a); | |
404 | #endif | |
405 | #ifdef HEADER_BIO_H | |
406 | int BN_print(BIO *fp, const BIGNUM *a); | |
407 | #else | |
408 | int BN_print(void *fp, const BIGNUM *a); | |
409 | #endif | |
410 | int BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx); | |
411 | int BN_rshift(BIGNUM *r, BIGNUM *a, int n); | |
412 | int BN_rshift1(BIGNUM *r, BIGNUM *a); | |
413 | void BN_clear(BIGNUM *a); | |
414 | BIGNUM *BN_dup(const BIGNUM *a); | |
415 | int BN_ucmp(const BIGNUM *a, const BIGNUM *b); | |
416 | int BN_set_bit(BIGNUM *a, int n); | |
417 | int BN_clear_bit(BIGNUM *a, int n); | |
418 | char * BN_bn2hex(const BIGNUM *a); | |
419 | char * BN_bn2dec(const BIGNUM *a); | |
420 | int BN_hex2bn(BIGNUM **a, const char *str); | |
421 | int BN_dec2bn(BIGNUM **a, const char *str); | |
422 | int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx); | |
423 | BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, const BIGNUM *n,BN_CTX *ctx); | |
424 | BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,BIGNUM *add, | |
425 | BIGNUM *rem,void (*callback)(int,int,void *),void *cb_arg); | |
426 | int BN_is_prime(const BIGNUM *p,int nchecks, | |
427 | void (*callback)(int,int,void *), | |
428 | BN_CTX *ctx,void *cb_arg); | |
429 | int BN_is_prime_fasttest(const BIGNUM *p,int nchecks, | |
430 | void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg, | |
431 | int do_trial_division); | |
432 | void ERR_load_BN_strings(void ); | |
433 | ||
434 | BN_MONT_CTX *BN_MONT_CTX_new(void ); | |
435 | void BN_MONT_CTX_init(BN_MONT_CTX *ctx); | |
436 | int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont, | |
437 | BN_CTX *ctx); | |
438 | int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx); | |
439 | void BN_MONT_CTX_free(BN_MONT_CTX *mont); | |
440 | int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx); | |
441 | BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from); | |
442 | ||
443 | BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod); | |
444 | void BN_BLINDING_free(BN_BLINDING *b); | |
445 | int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx); | |
446 | int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx); | |
447 | int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); | |
448 | ||
449 | #if BN_PARAMS_ENABLE | |
450 | void BN_set_params(int mul,int high,int low,int mont); | |
451 | int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ | |
452 | #endif /* BN_PARAMS_ENABLE */ | |
453 | ||
454 | void BN_RECP_CTX_init(BN_RECP_CTX *recp); | |
455 | BN_RECP_CTX *BN_RECP_CTX_new(void); | |
456 | void BN_RECP_CTX_free(BN_RECP_CTX *recp); | |
457 | int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx); | |
458 | int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y, | |
459 | BN_RECP_CTX *recp,BN_CTX *ctx); | |
460 | int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
461 | const BIGNUM *m, BN_CTX *ctx); | |
462 | int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, | |
463 | BN_RECP_CTX *recp, BN_CTX *ctx); | |
464 | ||
465 | /* library internal functions */ | |
466 | ||
467 | #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->max)?\ | |
468 | (a):bn_expand2((a),(bits)/BN_BITS2+1)) | |
469 | #define bn_wexpand(a,words) (((words) <= (a)->max)?(a):bn_expand2((a),(words))) | |
470 | BIGNUM *bn_expand2(BIGNUM *a, int words); | |
471 | ||
472 | #define bn_fix_top(a) \ | |
473 | { \ | |
474 | BN_ULONG *ftl; \ | |
475 | if ((a)->top > 0) \ | |
476 | { \ | |
477 | for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \ | |
478 | if (*(ftl--)) break; \ | |
479 | } \ | |
480 | } | |
481 | ||
482 | BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); | |
483 | BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w); | |
484 | void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num); | |
485 | BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); | |
486 | BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num); | |
487 | BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num); | |
488 | ||
489 | #ifdef BN_DEBUG | |
490 | void bn_dump1(FILE *o, const char *a, BN_ULONG *b,int n); | |
491 | # define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \ | |
492 | fprintf(stderr,"\n");} | |
493 | # define bn_dump(a,n) bn_dump1(stderr,#a,a,n); | |
494 | #else | |
495 | # define bn_print(a) | |
496 | # define bn_dump(a,b) | |
497 | #endif | |
498 | ||
499 | /* BEGIN ERROR CODES */ | |
500 | /* The following lines are auto generated by the script mkerr.pl. Any changes | |
501 | * made after this point may be overwritten when the script is next run. | |
502 | */ | |
503 | ||
504 | /* Error codes for the BN functions. */ | |
505 | ||
506 | /* Function codes. */ | |
507 | #define BN_F_BN_BLINDING_CONVERT 100 | |
508 | #define BN_F_BN_BLINDING_INVERT 101 | |
509 | #define BN_F_BN_BLINDING_NEW 102 | |
510 | #define BN_F_BN_BLINDING_UPDATE 103 | |
511 | #define BN_F_BN_BN2DEC 104 | |
512 | #define BN_F_BN_BN2HEX 105 | |
513 | #define BN_F_BN_CTX_GET 116 | |
514 | #define BN_F_BN_CTX_NEW 106 | |
515 | #define BN_F_BN_DIV 107 | |
516 | #define BN_F_BN_EXPAND2 108 | |
517 | #define BN_F_BN_MOD_EXP_MONT 109 | |
518 | #define BN_F_BN_MOD_EXP_MONT_WORD 117 | |
519 | #define BN_F_BN_MOD_INVERSE 110 | |
520 | #define BN_F_BN_MOD_MUL_RECIPROCAL 111 | |
521 | #define BN_F_BN_MPI2BN 112 | |
522 | #define BN_F_BN_NEW 113 | |
523 | #define BN_F_BN_RAND 114 | |
524 | #define BN_F_BN_RAND_RANGE 122 | |
525 | #define BN_F_BN_USUB 115 | |
526 | ||
527 | /* Reason codes. */ | |
528 | #define BN_R_ARG2_LT_ARG3 100 | |
529 | #define BN_R_BAD_RECIPROCAL 101 | |
530 | #define BN_R_CALLED_WITH_EVEN_MODULUS 102 | |
531 | #define BN_R_DIV_BY_ZERO 103 | |
532 | #define BN_R_ENCODING_ERROR 104 | |
533 | #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105 | |
534 | #define BN_R_INVALID_LENGTH 106 | |
535 | #define BN_R_INVALID_RANGE 115 | |
536 | #define BN_R_NOT_INITIALIZED 107 | |
537 | #define BN_R_NO_INVERSE 108 | |
538 | #define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109 | |
539 | ||
540 | #ifdef __cplusplus | |
541 | } | |
542 | #endif | |
543 | #endif | |
544 |