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1 | /* | |
2 | * Copyright 1995-2018 The OpenSSL Project Authors. All Rights Reserved. | |
3 | * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved | |
4 | * | |
5 | * Licensed under the Apache License 2.0 (the "License"). You may not use | |
6 | * this file except in compliance with the License. You can obtain a copy | |
7 | * in the file LICENSE in the source distribution or at | |
8 | * https://www.openssl.org/source/license.html | |
9 | */ | |
10 | ||
11 | #ifndef OPENSSL_BN_H | |
12 | # define OPENSSL_BN_H | |
13 | # pragma once | |
14 | ||
15 | # include <openssl/macros.h> | |
16 | # ifndef OPENSSL_NO_DEPRECATED_3_0 | |
17 | # define HEADER_BN_H | |
18 | # endif | |
19 | ||
20 | # include <openssl/e_os2.h> | |
21 | # ifndef OPENSSL_NO_STDIO | |
22 | # include <stdio.h> | |
23 | # endif | |
24 | # include <openssl/opensslconf.h> | |
25 | # include <openssl/types.h> | |
26 | # include <openssl/crypto.h> | |
27 | # include <openssl/bnerr.h> | |
28 | ||
29 | #ifdef __cplusplus | |
30 | extern "C" { | |
31 | #endif | |
32 | ||
33 | /* | |
34 | * 64-bit processor with LP64 ABI | |
35 | */ | |
36 | # ifdef SIXTY_FOUR_BIT_LONG | |
37 | # define BN_ULONG unsigned long | |
38 | # define BN_BYTES 8 | |
39 | # endif | |
40 | ||
41 | /* | |
42 | * 64-bit processor other than LP64 ABI | |
43 | */ | |
44 | # ifdef SIXTY_FOUR_BIT | |
45 | # define BN_ULONG unsigned long long | |
46 | # define BN_BYTES 8 | |
47 | # endif | |
48 | ||
49 | # ifdef THIRTY_TWO_BIT | |
50 | # define BN_ULONG unsigned int | |
51 | # define BN_BYTES 4 | |
52 | # endif | |
53 | ||
54 | # define BN_BITS2 (BN_BYTES * 8) | |
55 | # define BN_BITS (BN_BITS2 * 2) | |
56 | # define BN_TBIT ((BN_ULONG)1 << (BN_BITS2 - 1)) | |
57 | ||
58 | # define BN_FLG_MALLOCED 0x01 | |
59 | # define BN_FLG_STATIC_DATA 0x02 | |
60 | ||
61 | /* | |
62 | * avoid leaking exponent information through timing, | |
63 | * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime, | |
64 | * BN_div() will call BN_div_no_branch, | |
65 | * BN_mod_inverse() will call BN_mod_inverse_no_branch. | |
66 | */ | |
67 | # define BN_FLG_CONSTTIME 0x04 | |
68 | # define BN_FLG_SECURE 0x08 | |
69 | ||
70 | # ifndef OPENSSL_NO_DEPRECATED_0_9_8 | |
71 | /* deprecated name for the flag */ | |
72 | # define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME | |
73 | # define BN_FLG_FREE 0x8000 /* used for debugging */ | |
74 | # endif | |
75 | ||
76 | void BN_set_flags(BIGNUM *b, int n); | |
77 | int BN_get_flags(const BIGNUM *b, int n); | |
78 | ||
79 | /* Values for |top| in BN_rand() */ | |
80 | #define BN_RAND_TOP_ANY -1 | |
81 | #define BN_RAND_TOP_ONE 0 | |
82 | #define BN_RAND_TOP_TWO 1 | |
83 | ||
84 | /* Values for |bottom| in BN_rand() */ | |
85 | #define BN_RAND_BOTTOM_ANY 0 | |
86 | #define BN_RAND_BOTTOM_ODD 1 | |
87 | ||
88 | /* | |
89 | * get a clone of a BIGNUM with changed flags, for *temporary* use only (the | |
90 | * two BIGNUMs cannot be used in parallel!). Also only for *read only* use. The | |
91 | * value |dest| should be a newly allocated BIGNUM obtained via BN_new() that | |
92 | * has not been otherwise initialised or used. | |
93 | */ | |
94 | void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags); | |
95 | ||
96 | /* Wrapper function to make using BN_GENCB easier */ | |
97 | int BN_GENCB_call(BN_GENCB *cb, int a, int b); | |
98 | ||
99 | BN_GENCB *BN_GENCB_new(void); | |
100 | void BN_GENCB_free(BN_GENCB *cb); | |
101 | ||
102 | /* Populate a BN_GENCB structure with an "old"-style callback */ | |
103 | void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *), | |
104 | void *cb_arg); | |
105 | ||
106 | /* Populate a BN_GENCB structure with a "new"-style callback */ | |
107 | void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *), | |
108 | void *cb_arg); | |
109 | ||
110 | void *BN_GENCB_get_arg(BN_GENCB *cb); | |
111 | ||
112 | # ifndef OPENSSL_NO_DEPRECATED_3_0 | |
113 | # define BN_prime_checks 0 /* default: select number of iterations based | |
114 | * on the size of the number */ | |
115 | ||
116 | /* | |
117 | * BN_prime_checks_for_size() returns the number of Miller-Rabin iterations | |
118 | * that will be done for checking that a random number is probably prime. The | |
119 | * error rate for accepting a composite number as prime depends on the size of | |
120 | * the prime |b|. The error rates used are for calculating an RSA key with 2 primes, | |
121 | * and so the level is what you would expect for a key of double the size of the | |
122 | * prime. | |
123 | * | |
124 | * This table is generated using the algorithm of FIPS PUB 186-4 | |
125 | * Digital Signature Standard (DSS), section F.1, page 117. | |
126 | * (https://dx.doi.org/10.6028/NIST.FIPS.186-4) | |
127 | * | |
128 | * The following magma script was used to generate the output: | |
129 | * securitybits:=125; | |
130 | * k:=1024; | |
131 | * for t:=1 to 65 do | |
132 | * for M:=3 to Floor(2*Sqrt(k-1)-1) do | |
133 | * S:=0; | |
134 | * // Sum over m | |
135 | * for m:=3 to M do | |
136 | * s:=0; | |
137 | * // Sum over j | |
138 | * for j:=2 to m do | |
139 | * s+:=(RealField(32)!2)^-(j+(k-1)/j); | |
140 | * end for; | |
141 | * S+:=2^(m-(m-1)*t)*s; | |
142 | * end for; | |
143 | * A:=2^(k-2-M*t); | |
144 | * B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S; | |
145 | * pkt:=2.00743*Log(2)*k*2^-k*(A+B); | |
146 | * seclevel:=Floor(-Log(2,pkt)); | |
147 | * if seclevel ge securitybits then | |
148 | * printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M; | |
149 | * break; | |
150 | * end if; | |
151 | * end for; | |
152 | * if seclevel ge securitybits then break; end if; | |
153 | * end for; | |
154 | * | |
155 | * It can be run online at: | |
156 | * http://magma.maths.usyd.edu.au/calc | |
157 | * | |
158 | * And will output: | |
159 | * k: 1024, security: 129 bits (t: 6, M: 23) | |
160 | * | |
161 | * k is the number of bits of the prime, securitybits is the level we want to | |
162 | * reach. | |
163 | * | |
164 | * prime length | RSA key size | # MR tests | security level | |
165 | * -------------+--------------|------------+--------------- | |
166 | * (b) >= 6394 | >= 12788 | 3 | 256 bit | |
167 | * (b) >= 3747 | >= 7494 | 3 | 192 bit | |
168 | * (b) >= 1345 | >= 2690 | 4 | 128 bit | |
169 | * (b) >= 1080 | >= 2160 | 5 | 128 bit | |
170 | * (b) >= 852 | >= 1704 | 5 | 112 bit | |
171 | * (b) >= 476 | >= 952 | 5 | 80 bit | |
172 | * (b) >= 400 | >= 800 | 6 | 80 bit | |
173 | * (b) >= 347 | >= 694 | 7 | 80 bit | |
174 | * (b) >= 308 | >= 616 | 8 | 80 bit | |
175 | * (b) >= 55 | >= 110 | 27 | 64 bit | |
176 | * (b) >= 6 | >= 12 | 34 | 64 bit | |
177 | */ | |
178 | ||
179 | # define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : \ | |
180 | (b) >= 1345 ? 4 : \ | |
181 | (b) >= 476 ? 5 : \ | |
182 | (b) >= 400 ? 6 : \ | |
183 | (b) >= 347 ? 7 : \ | |
184 | (b) >= 308 ? 8 : \ | |
185 | (b) >= 55 ? 27 : \ | |
186 | /* b >= 6 */ 34) | |
187 | # endif | |
188 | ||
189 | # define BN_num_bytes(a) ((BN_num_bits(a)+7)/8) | |
190 | ||
191 | int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w); | |
192 | int BN_is_zero(const BIGNUM *a); | |
193 | int BN_is_one(const BIGNUM *a); | |
194 | int BN_is_word(const BIGNUM *a, const BN_ULONG w); | |
195 | int BN_is_odd(const BIGNUM *a); | |
196 | ||
197 | # define BN_one(a) (BN_set_word((a),1)) | |
198 | ||
199 | void BN_zero_ex(BIGNUM *a); | |
200 | ||
201 | # if OPENSSL_API_LEVEL > 908 | |
202 | # define BN_zero(a) BN_zero_ex(a) | |
203 | # else | |
204 | # define BN_zero(a) (BN_set_word((a),0)) | |
205 | # endif | |
206 | ||
207 | const BIGNUM *BN_value_one(void); | |
208 | char *BN_options(void); | |
209 | BN_CTX *BN_CTX_new_ex(OPENSSL_CTX *ctx); | |
210 | BN_CTX *BN_CTX_new(void); | |
211 | BN_CTX *BN_CTX_secure_new_ex(OPENSSL_CTX *ctx); | |
212 | BN_CTX *BN_CTX_secure_new(void); | |
213 | void BN_CTX_free(BN_CTX *c); | |
214 | void BN_CTX_start(BN_CTX *ctx); | |
215 | BIGNUM *BN_CTX_get(BN_CTX *ctx); | |
216 | void BN_CTX_end(BN_CTX *ctx); | |
217 | int BN_rand_ex(BIGNUM *rnd, int bits, int top, int bottom, BN_CTX *ctx); | |
218 | int BN_rand(BIGNUM *rnd, int bits, int top, int bottom); | |
219 | int BN_priv_rand_ex(BIGNUM *rnd, int bits, int top, int bottom, BN_CTX *ctx); | |
220 | int BN_priv_rand(BIGNUM *rnd, int bits, int top, int bottom); | |
221 | int BN_rand_range_ex(BIGNUM *r, const BIGNUM *range, BN_CTX *ctx); | |
222 | int BN_rand_range(BIGNUM *rnd, const BIGNUM *range); | |
223 | int BN_priv_rand_range_ex(BIGNUM *r, const BIGNUM *range, BN_CTX *ctx); | |
224 | int BN_priv_rand_range(BIGNUM *rnd, const BIGNUM *range); | |
225 | int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom); | |
226 | int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range); | |
227 | int BN_num_bits(const BIGNUM *a); | |
228 | int BN_num_bits_word(BN_ULONG l); | |
229 | int BN_security_bits(int L, int N); | |
230 | BIGNUM *BN_new(void); | |
231 | BIGNUM *BN_secure_new(void); | |
232 | void BN_clear_free(BIGNUM *a); | |
233 | BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b); | |
234 | void BN_swap(BIGNUM *a, BIGNUM *b); | |
235 | BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret); | |
236 | int BN_bn2bin(const BIGNUM *a, unsigned char *to); | |
237 | int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen); | |
238 | BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret); | |
239 | int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen); | |
240 | BIGNUM *BN_native2bn(const unsigned char *s, int len, BIGNUM *ret); | |
241 | int BN_bn2nativepad(const BIGNUM *a, unsigned char *to, int tolen); | |
242 | BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret); | |
243 | int BN_bn2mpi(const BIGNUM *a, unsigned char *to); | |
244 | int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
245 | int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
246 | int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
247 | int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
248 | int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); | |
249 | int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx); | |
250 | /** BN_set_negative sets sign of a BIGNUM | |
251 | * \param b pointer to the BIGNUM object | |
252 | * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise | |
253 | */ | |
254 | void BN_set_negative(BIGNUM *b, int n); | |
255 | /** BN_is_negative returns 1 if the BIGNUM is negative | |
256 | * \param b pointer to the BIGNUM object | |
257 | * \return 1 if a < 0 and 0 otherwise | |
258 | */ | |
259 | int BN_is_negative(const BIGNUM *b); | |
260 | ||
261 | int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, | |
262 | BN_CTX *ctx); | |
263 | # define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx)) | |
264 | int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx); | |
265 | int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, | |
266 | BN_CTX *ctx); | |
267 | int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
268 | const BIGNUM *m); | |
269 | int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, | |
270 | BN_CTX *ctx); | |
271 | int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
272 | const BIGNUM *m); | |
273 | int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, | |
274 | BN_CTX *ctx); | |
275 | int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); | |
276 | int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx); | |
277 | int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m); | |
278 | int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, | |
279 | BN_CTX *ctx); | |
280 | int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m); | |
281 | ||
282 | BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w); | |
283 | BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w); | |
284 | int BN_mul_word(BIGNUM *a, BN_ULONG w); | |
285 | int BN_add_word(BIGNUM *a, BN_ULONG w); | |
286 | int BN_sub_word(BIGNUM *a, BN_ULONG w); | |
287 | int BN_set_word(BIGNUM *a, BN_ULONG w); | |
288 | BN_ULONG BN_get_word(const BIGNUM *a); | |
289 | ||
290 | int BN_cmp(const BIGNUM *a, const BIGNUM *b); | |
291 | void BN_free(BIGNUM *a); | |
292 | int BN_is_bit_set(const BIGNUM *a, int n); | |
293 | int BN_lshift(BIGNUM *r, const BIGNUM *a, int n); | |
294 | int BN_lshift1(BIGNUM *r, const BIGNUM *a); | |
295 | int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
296 | ||
297 | int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
298 | const BIGNUM *m, BN_CTX *ctx); | |
299 | int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
300 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); | |
301 | int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p, | |
302 | const BIGNUM *m, BN_CTX *ctx, | |
303 | BN_MONT_CTX *in_mont); | |
304 | int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p, | |
305 | const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx); | |
306 | int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1, | |
307 | const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m, | |
308 | BN_CTX *ctx, BN_MONT_CTX *m_ctx); | |
309 | int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
310 | const BIGNUM *m, BN_CTX *ctx); | |
311 | ||
312 | int BN_mask_bits(BIGNUM *a, int n); | |
313 | # ifndef OPENSSL_NO_STDIO | |
314 | int BN_print_fp(FILE *fp, const BIGNUM *a); | |
315 | # endif | |
316 | int BN_print(BIO *bio, const BIGNUM *a); | |
317 | int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx); | |
318 | int BN_rshift(BIGNUM *r, const BIGNUM *a, int n); | |
319 | int BN_rshift1(BIGNUM *r, const BIGNUM *a); | |
320 | void BN_clear(BIGNUM *a); | |
321 | BIGNUM *BN_dup(const BIGNUM *a); | |
322 | int BN_ucmp(const BIGNUM *a, const BIGNUM *b); | |
323 | int BN_set_bit(BIGNUM *a, int n); | |
324 | int BN_clear_bit(BIGNUM *a, int n); | |
325 | char *BN_bn2hex(const BIGNUM *a); | |
326 | char *BN_bn2dec(const BIGNUM *a); | |
327 | int BN_hex2bn(BIGNUM **a, const char *str); | |
328 | int BN_dec2bn(BIGNUM **a, const char *str); | |
329 | int BN_asc2bn(BIGNUM **a, const char *str); | |
330 | int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); | |
331 | int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns | |
332 | * -2 for | |
333 | * error */ | |
334 | BIGNUM *BN_mod_inverse(BIGNUM *ret, | |
335 | const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); | |
336 | BIGNUM *BN_mod_sqrt(BIGNUM *ret, | |
337 | const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx); | |
338 | ||
339 | void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords); | |
340 | ||
341 | /* Deprecated versions */ | |
342 | DEPRECATEDIN_0_9_8(BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe, | |
343 | const BIGNUM *add, | |
344 | const BIGNUM *rem, | |
345 | void (*callback) (int, int, | |
346 | void *), | |
347 | void *cb_arg)) | |
348 | DEPRECATEDIN_0_9_8(int | |
349 | BN_is_prime(const BIGNUM *p, int nchecks, | |
350 | void (*callback) (int, int, void *), | |
351 | BN_CTX *ctx, void *cb_arg)) | |
352 | DEPRECATEDIN_0_9_8(int | |
353 | BN_is_prime_fasttest(const BIGNUM *p, int nchecks, | |
354 | void (*callback) (int, int, void *), | |
355 | BN_CTX *ctx, void *cb_arg, | |
356 | int do_trial_division)) | |
357 | ||
358 | DEPRECATEDIN_3_0(int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb)) | |
359 | DEPRECATEDIN_3_0(int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, | |
360 | int do_trial_division, BN_GENCB *cb)) | |
361 | /* Newer versions */ | |
362 | int BN_generate_prime_ex2(BIGNUM *ret, int bits, int safe, | |
363 | const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb, | |
364 | BN_CTX *ctx); | |
365 | int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add, | |
366 | const BIGNUM *rem, BN_GENCB *cb); | |
367 | int BN_check_prime(const BIGNUM *p, BN_CTX *ctx, BN_GENCB *cb); | |
368 | ||
369 | int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx); | |
370 | ||
371 | int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, | |
372 | const BIGNUM *Xp, const BIGNUM *Xp1, | |
373 | const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx, | |
374 | BN_GENCB *cb); | |
375 | int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1, | |
376 | BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e, | |
377 | BN_CTX *ctx, BN_GENCB *cb); | |
378 | ||
379 | BN_MONT_CTX *BN_MONT_CTX_new(void); | |
380 | int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
381 | BN_MONT_CTX *mont, BN_CTX *ctx); | |
382 | int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, | |
383 | BN_CTX *ctx); | |
384 | int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont, | |
385 | BN_CTX *ctx); | |
386 | void BN_MONT_CTX_free(BN_MONT_CTX *mont); | |
387 | int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx); | |
388 | BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from); | |
389 | BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, CRYPTO_RWLOCK *lock, | |
390 | const BIGNUM *mod, BN_CTX *ctx); | |
391 | ||
392 | /* BN_BLINDING flags */ | |
393 | # define BN_BLINDING_NO_UPDATE 0x00000001 | |
394 | # define BN_BLINDING_NO_RECREATE 0x00000002 | |
395 | ||
396 | BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod); | |
397 | void BN_BLINDING_free(BN_BLINDING *b); | |
398 | int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx); | |
399 | int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); | |
400 | int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx); | |
401 | int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *); | |
402 | int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, | |
403 | BN_CTX *); | |
404 | ||
405 | int BN_BLINDING_is_current_thread(BN_BLINDING *b); | |
406 | void BN_BLINDING_set_current_thread(BN_BLINDING *b); | |
407 | int BN_BLINDING_lock(BN_BLINDING *b); | |
408 | int BN_BLINDING_unlock(BN_BLINDING *b); | |
409 | ||
410 | unsigned long BN_BLINDING_get_flags(const BN_BLINDING *); | |
411 | void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long); | |
412 | BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b, | |
413 | const BIGNUM *e, BIGNUM *m, BN_CTX *ctx, | |
414 | int (*bn_mod_exp) (BIGNUM *r, | |
415 | const BIGNUM *a, | |
416 | const BIGNUM *p, | |
417 | const BIGNUM *m, | |
418 | BN_CTX *ctx, | |
419 | BN_MONT_CTX *m_ctx), | |
420 | BN_MONT_CTX *m_ctx); | |
421 | ||
422 | DEPRECATEDIN_0_9_8(void BN_set_params(int mul, int high, int low, int mont)) | |
423 | DEPRECATEDIN_0_9_8(int BN_get_params(int which)) /* 0, mul, 1 high, 2 low, 3 | |
424 | * mont */ | |
425 | ||
426 | BN_RECP_CTX *BN_RECP_CTX_new(void); | |
427 | void BN_RECP_CTX_free(BN_RECP_CTX *recp); | |
428 | int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx); | |
429 | int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y, | |
430 | BN_RECP_CTX *recp, BN_CTX *ctx); | |
431 | int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
432 | const BIGNUM *m, BN_CTX *ctx); | |
433 | int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, | |
434 | BN_RECP_CTX *recp, BN_CTX *ctx); | |
435 | ||
436 | # ifndef OPENSSL_NO_EC2M | |
437 | ||
438 | /* | |
439 | * Functions for arithmetic over binary polynomials represented by BIGNUMs. | |
440 | * The BIGNUM::neg property of BIGNUMs representing binary polynomials is | |
441 | * ignored. Note that input arguments are not const so that their bit arrays | |
442 | * can be expanded to the appropriate size if needed. | |
443 | */ | |
444 | ||
445 | /* | |
446 | * r = a + b | |
447 | */ | |
448 | int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); | |
449 | # define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b) | |
450 | /* | |
451 | * r=a mod p | |
452 | */ | |
453 | int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); | |
454 | /* r = (a * b) mod p */ | |
455 | int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
456 | const BIGNUM *p, BN_CTX *ctx); | |
457 | /* r = (a * a) mod p */ | |
458 | int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
459 | /* r = (1 / b) mod p */ | |
460 | int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx); | |
461 | /* r = (a / b) mod p */ | |
462 | int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
463 | const BIGNUM *p, BN_CTX *ctx); | |
464 | /* r = (a ^ b) mod p */ | |
465 | int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
466 | const BIGNUM *p, BN_CTX *ctx); | |
467 | /* r = sqrt(a) mod p */ | |
468 | int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
469 | BN_CTX *ctx); | |
470 | /* r^2 + r = a mod p */ | |
471 | int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, | |
472 | BN_CTX *ctx); | |
473 | # define BN_GF2m_cmp(a, b) BN_ucmp((a), (b)) | |
474 | /*- | |
475 | * Some functions allow for representation of the irreducible polynomials | |
476 | * as an unsigned int[], say p. The irreducible f(t) is then of the form: | |
477 | * t^p[0] + t^p[1] + ... + t^p[k] | |
478 | * where m = p[0] > p[1] > ... > p[k] = 0. | |
479 | */ | |
480 | /* r = a mod p */ | |
481 | int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]); | |
482 | /* r = (a * b) mod p */ | |
483 | int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
484 | const int p[], BN_CTX *ctx); | |
485 | /* r = (a * a) mod p */ | |
486 | int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[], | |
487 | BN_CTX *ctx); | |
488 | /* r = (1 / b) mod p */ | |
489 | int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[], | |
490 | BN_CTX *ctx); | |
491 | /* r = (a / b) mod p */ | |
492 | int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
493 | const int p[], BN_CTX *ctx); | |
494 | /* r = (a ^ b) mod p */ | |
495 | int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, | |
496 | const int p[], BN_CTX *ctx); | |
497 | /* r = sqrt(a) mod p */ | |
498 | int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a, | |
499 | const int p[], BN_CTX *ctx); | |
500 | /* r^2 + r = a mod p */ | |
501 | int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a, | |
502 | const int p[], BN_CTX *ctx); | |
503 | int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max); | |
504 | int BN_GF2m_arr2poly(const int p[], BIGNUM *a); | |
505 | ||
506 | # endif | |
507 | ||
508 | /* | |
509 | * faster mod functions for the 'NIST primes' 0 <= a < p^2 | |
510 | */ | |
511 | int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
512 | int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
513 | int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
514 | int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
515 | int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx); | |
516 | ||
517 | const BIGNUM *BN_get0_nist_prime_192(void); | |
518 | const BIGNUM *BN_get0_nist_prime_224(void); | |
519 | const BIGNUM *BN_get0_nist_prime_256(void); | |
520 | const BIGNUM *BN_get0_nist_prime_384(void); | |
521 | const BIGNUM *BN_get0_nist_prime_521(void); | |
522 | ||
523 | int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a, | |
524 | const BIGNUM *field, BN_CTX *ctx); | |
525 | ||
526 | int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range, | |
527 | const BIGNUM *priv, const unsigned char *message, | |
528 | size_t message_len, BN_CTX *ctx); | |
529 | ||
530 | # ifndef OPENSSL_NO_DH | |
531 | /* Primes from RFC 2409 */ | |
532 | BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn); | |
533 | BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn); | |
534 | ||
535 | /* Primes from RFC 3526 */ | |
536 | BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn); | |
537 | BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn); | |
538 | BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn); | |
539 | BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn); | |
540 | BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn); | |
541 | BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn); | |
542 | ||
543 | # ifndef OPENSSL_NO_DEPRECATED_1_1_0 | |
544 | # define get_rfc2409_prime_768 BN_get_rfc2409_prime_768 | |
545 | # define get_rfc2409_prime_1024 BN_get_rfc2409_prime_1024 | |
546 | # define get_rfc3526_prime_1536 BN_get_rfc3526_prime_1536 | |
547 | # define get_rfc3526_prime_2048 BN_get_rfc3526_prime_2048 | |
548 | # define get_rfc3526_prime_3072 BN_get_rfc3526_prime_3072 | |
549 | # define get_rfc3526_prime_4096 BN_get_rfc3526_prime_4096 | |
550 | # define get_rfc3526_prime_6144 BN_get_rfc3526_prime_6144 | |
551 | # define get_rfc3526_prime_8192 BN_get_rfc3526_prime_8192 | |
552 | # endif | |
553 | # endif | |
554 | ||
555 | int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom); | |
556 | ||
557 | ||
558 | # ifdef __cplusplus | |
559 | } | |
560 | # endif | |
561 | #endif |