1/*
2 * Copyright 1995-2021 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
30extern "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
76void BN_set_flags(BIGNUM *b, int n);
77int 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 */
94void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags);
95
96/* Wrapper function to make using BN_GENCB easier */
97int BN_GENCB_call(BN_GENCB *cb, int a, int b);
98
99BN_GENCB *BN_GENCB_new(void);
100void BN_GENCB_free(BN_GENCB *cb);
101
102/* Populate a BN_GENCB structure with an "old"-style callback */
103void 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 */
107void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *),
108 void *cb_arg);
109
110void *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
191int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w);
192int BN_is_zero(const BIGNUM *a);
193int BN_is_one(const BIGNUM *a);
194int BN_is_word(const BIGNUM *a, const BN_ULONG w);
195int BN_is_odd(const BIGNUM *a);
196
197# define BN_one(a) (BN_set_word((a),1))
198
199void 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
207const BIGNUM *BN_value_one(void);
208char *BN_options(void);
209BN_CTX *BN_CTX_new_ex(OSSL_LIB_CTX *ctx);
210BN_CTX *BN_CTX_new(void);
211BN_CTX *BN_CTX_secure_new_ex(OSSL_LIB_CTX *ctx);
212BN_CTX *BN_CTX_secure_new(void);
213void BN_CTX_free(BN_CTX *c);
214void BN_CTX_start(BN_CTX *ctx);
215BIGNUM *BN_CTX_get(BN_CTX *ctx);
216void BN_CTX_end(BN_CTX *ctx);
217int BN_rand_ex(BIGNUM *rnd, int bits, int top, int bottom,
218 unsigned int strength, BN_CTX *ctx);
219int BN_rand(BIGNUM *rnd, int bits, int top, int bottom);
220int BN_priv_rand_ex(BIGNUM *rnd, int bits, int top, int bottom,
221 unsigned int strength, BN_CTX *ctx);
222int BN_priv_rand(BIGNUM *rnd, int bits, int top, int bottom);
223int BN_rand_range_ex(BIGNUM *r, const BIGNUM *range, unsigned int strength,
224 BN_CTX *ctx);
225int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
226int BN_priv_rand_range_ex(BIGNUM *r, const BIGNUM *range,
227 unsigned int strength, BN_CTX *ctx);
228int BN_priv_rand_range(BIGNUM *rnd, const BIGNUM *range);
229# ifndef OPENSSL_NO_DEPRECATED_3_0
230OSSL_DEPRECATEDIN_3_0
231int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
232OSSL_DEPRECATEDIN_3_0
233int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
234# endif
235int BN_num_bits(const BIGNUM *a);
236int BN_num_bits_word(BN_ULONG l);
237int BN_security_bits(int L, int N);
238BIGNUM *BN_new(void);
239BIGNUM *BN_secure_new(void);
240void BN_clear_free(BIGNUM *a);
241BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
242void BN_swap(BIGNUM *a, BIGNUM *b);
243BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret);
244int BN_bn2bin(const BIGNUM *a, unsigned char *to);
245int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen);
246BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret);
247int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen);
248BIGNUM *BN_native2bn(const unsigned char *s, int len, BIGNUM *ret);
249int BN_bn2nativepad(const BIGNUM *a, unsigned char *to, int tolen);
250BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret);
251int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
252int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
253int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
254int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
255int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
256int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
257int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx);
258/** BN_set_negative sets sign of a BIGNUM
259 * \param b pointer to the BIGNUM object
260 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
261 */
262void BN_set_negative(BIGNUM *b, int n);
263/** BN_is_negative returns 1 if the BIGNUM is negative
264 * \param b pointer to the BIGNUM object
265 * \return 1 if a < 0 and 0 otherwise
266 */
267int BN_is_negative(const BIGNUM *b);
268
269int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
270 BN_CTX *ctx);
271# define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
272int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
273int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
274 BN_CTX *ctx);
275int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
276 const BIGNUM *m);
277int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
278 BN_CTX *ctx);
279int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
280 const BIGNUM *m);
281int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
282 BN_CTX *ctx);
283int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
284int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
285int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
286int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m,
287 BN_CTX *ctx);
288int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
289
290BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
291BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
292int BN_mul_word(BIGNUM *a, BN_ULONG w);
293int BN_add_word(BIGNUM *a, BN_ULONG w);
294int BN_sub_word(BIGNUM *a, BN_ULONG w);
295int BN_set_word(BIGNUM *a, BN_ULONG w);
296BN_ULONG BN_get_word(const BIGNUM *a);
297
298int BN_cmp(const BIGNUM *a, const BIGNUM *b);
299void BN_free(BIGNUM *a);
300int BN_is_bit_set(const BIGNUM *a, int n);
301int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
302int BN_lshift1(BIGNUM *r, const BIGNUM *a);
303int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
304
305int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
306 const BIGNUM *m, BN_CTX *ctx);
307int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
308 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
309int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
310 const BIGNUM *m, BN_CTX *ctx,
311 BN_MONT_CTX *in_mont);
312int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
313 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
314int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
315 const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
316 BN_CTX *ctx, BN_MONT_CTX *m_ctx);
317int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
318 const BIGNUM *m, BN_CTX *ctx);
319int BN_mod_exp_mont_consttime_x2(BIGNUM *rr1, const BIGNUM *a1, const BIGNUM *p1,
320 const BIGNUM *m1, BN_MONT_CTX *in_mont1,
321 BIGNUM *rr2, const BIGNUM *a2, const BIGNUM *p2,
322 const BIGNUM *m2, BN_MONT_CTX *in_mont2,
323 BN_CTX *ctx);
324
325int BN_mask_bits(BIGNUM *a, int n);
326# ifndef OPENSSL_NO_STDIO
327int BN_print_fp(FILE *fp, const BIGNUM *a);
328# endif
329int BN_print(BIO *bio, const BIGNUM *a);
330int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
331int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
332int BN_rshift1(BIGNUM *r, const BIGNUM *a);
333void BN_clear(BIGNUM *a);
334BIGNUM *BN_dup(const BIGNUM *a);
335int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
336int BN_set_bit(BIGNUM *a, int n);
337int BN_clear_bit(BIGNUM *a, int n);
338char *BN_bn2hex(const BIGNUM *a);
339char *BN_bn2dec(const BIGNUM *a);
340int BN_hex2bn(BIGNUM **a, const char *str);
341int BN_dec2bn(BIGNUM **a, const char *str);
342int BN_asc2bn(BIGNUM **a, const char *str);
343int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
344int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns
345 * -2 for
346 * error */
347BIGNUM *BN_mod_inverse(BIGNUM *ret,
348 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
349BIGNUM *BN_mod_sqrt(BIGNUM *ret,
350 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
351
352void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords);
353
354/* Deprecated versions */
355# ifndef OPENSSL_NO_DEPRECATED_0_9_8
356OSSL_DEPRECATEDIN_0_9_8
357BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
358 const BIGNUM *add, const BIGNUM *rem,
359 void (*callback) (int, int, void *),
360 void *cb_arg);
361OSSL_DEPRECATEDIN_0_9_8
362int BN_is_prime(const BIGNUM *p, int nchecks,
363 void (*callback) (int, int, void *),
364 BN_CTX *ctx, void *cb_arg);
365OSSL_DEPRECATEDIN_0_9_8
366int BN_is_prime_fasttest(const BIGNUM *p, int nchecks,
367 void (*callback) (int, int, void *),
368 BN_CTX *ctx, void *cb_arg,
369 int do_trial_division);
370# endif
371# ifndef OPENSSL_NO_DEPRECATED_3_0
372OSSL_DEPRECATEDIN_3_0
373int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb);
374OSSL_DEPRECATEDIN_3_0
375int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx,
376 int do_trial_division, BN_GENCB *cb);
377# endif
378/* Newer versions */
379int BN_generate_prime_ex2(BIGNUM *ret, int bits, int safe,
380 const BIGNUM *add, const BIGNUM *rem, BN_GENCB *cb,
381 BN_CTX *ctx);
382int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add,
383 const BIGNUM *rem, BN_GENCB *cb);
384int BN_check_prime(const BIGNUM *p, BN_CTX *ctx, BN_GENCB *cb);
385
386# ifndef OPENSSL_NO_DEPRECATED_3_0
387OSSL_DEPRECATEDIN_3_0
388int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx);
389
390OSSL_DEPRECATEDIN_3_0
391int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
392 const BIGNUM *Xp, const BIGNUM *Xp1,
393 const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx,
394 BN_GENCB *cb);
395OSSL_DEPRECATEDIN_3_0
396int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1,
397 BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e,
398 BN_CTX *ctx, BN_GENCB *cb);
399# endif
400
401BN_MONT_CTX *BN_MONT_CTX_new(void);
402int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
403 BN_MONT_CTX *mont, BN_CTX *ctx);
404int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
405 BN_CTX *ctx);
406int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
407 BN_CTX *ctx);
408void BN_MONT_CTX_free(BN_MONT_CTX *mont);
409int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx);
410BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
411BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, CRYPTO_RWLOCK *lock,
412 const BIGNUM *mod, BN_CTX *ctx);
413
414/* BN_BLINDING flags */
415# define BN_BLINDING_NO_UPDATE 0x00000001
416# define BN_BLINDING_NO_RECREATE 0x00000002
417
418BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
419void BN_BLINDING_free(BN_BLINDING *b);
420int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx);
421int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
422int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
423int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
424int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b,
425 BN_CTX *);
426
427int BN_BLINDING_is_current_thread(BN_BLINDING *b);
428void BN_BLINDING_set_current_thread(BN_BLINDING *b);
429int BN_BLINDING_lock(BN_BLINDING *b);
430int BN_BLINDING_unlock(BN_BLINDING *b);
431
432unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
433void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
434BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
435 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
436 int (*bn_mod_exp) (BIGNUM *r,
437 const BIGNUM *a,
438 const BIGNUM *p,
439 const BIGNUM *m,
440 BN_CTX *ctx,
441 BN_MONT_CTX *m_ctx),
442 BN_MONT_CTX *m_ctx);
443# ifndef OPENSSL_NO_DEPRECATED_0_9_8
444OSSL_DEPRECATEDIN_0_9_8
445void BN_set_params(int mul, int high, int low, int mont);
446OSSL_DEPRECATEDIN_0_9_8
447int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
448# endif
449
450BN_RECP_CTX *BN_RECP_CTX_new(void);
451void BN_RECP_CTX_free(BN_RECP_CTX *recp);
452int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx);
453int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
454 BN_RECP_CTX *recp, BN_CTX *ctx);
455int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
456 const BIGNUM *m, BN_CTX *ctx);
457int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
458 BN_RECP_CTX *recp, BN_CTX *ctx);
459
460# ifndef OPENSSL_NO_EC2M
461
462/*
463 * Functions for arithmetic over binary polynomials represented by BIGNUMs.
464 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
465 * ignored. Note that input arguments are not const so that their bit arrays
466 * can be expanded to the appropriate size if needed.
467 */
468
469/*
470 * r = a + b
471 */
472int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
473# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
474/*
475 * r=a mod p
476 */
477int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p);
478/* r = (a * b) mod p */
479int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
480 const BIGNUM *p, BN_CTX *ctx);
481/* r = (a * a) mod p */
482int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
483/* r = (1 / b) mod p */
484int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx);
485/* r = (a / b) mod p */
486int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
487 const BIGNUM *p, BN_CTX *ctx);
488/* r = (a ^ b) mod p */
489int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
490 const BIGNUM *p, BN_CTX *ctx);
491/* r = sqrt(a) mod p */
492int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
493 BN_CTX *ctx);
494/* r^2 + r = a mod p */
495int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
496 BN_CTX *ctx);
497# define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
498/*-
499 * Some functions allow for representation of the irreducible polynomials
500 * as an unsigned int[], say p. The irreducible f(t) is then of the form:
501 * t^p[0] + t^p[1] + ... + t^p[k]
502 * where m = p[0] > p[1] > ... > p[k] = 0.
503 */
504/* r = a mod p */
505int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
506/* r = (a * b) mod p */
507int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
508 const int p[], BN_CTX *ctx);
509/* r = (a * a) mod p */
510int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
511 BN_CTX *ctx);
512/* r = (1 / b) mod p */
513int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
514 BN_CTX *ctx);
515/* r = (a / b) mod p */
516int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
517 const int p[], BN_CTX *ctx);
518/* r = (a ^ b) mod p */
519int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
520 const int p[], BN_CTX *ctx);
521/* r = sqrt(a) mod p */
522int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
523 const int p[], BN_CTX *ctx);
524/* r^2 + r = a mod p */
525int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
526 const int p[], BN_CTX *ctx);
527int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
528int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
529
530# endif
531
532/*
533 * faster mod functions for the 'NIST primes' 0 <= a < p^2
534 */
535int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
536int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
537int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
538int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
539int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
540
541const BIGNUM *BN_get0_nist_prime_192(void);
542const BIGNUM *BN_get0_nist_prime_224(void);
543const BIGNUM *BN_get0_nist_prime_256(void);
544const BIGNUM *BN_get0_nist_prime_384(void);
545const BIGNUM *BN_get0_nist_prime_521(void);
546
547int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a,
548 const BIGNUM *field, BN_CTX *ctx);
549
550int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range,
551 const BIGNUM *priv, const unsigned char *message,
552 size_t message_len, BN_CTX *ctx);
553
554/* Primes from RFC 2409 */
555BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn);
556BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn);
557
558/* Primes from RFC 3526 */
559BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn);
560BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn);
561BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn);
562BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn);
563BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn);
564BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn);
565
566# ifndef OPENSSL_NO_DEPRECATED_1_1_0
567# define get_rfc2409_prime_768 BN_get_rfc2409_prime_768
568# define get_rfc2409_prime_1024 BN_get_rfc2409_prime_1024
569# define get_rfc3526_prime_1536 BN_get_rfc3526_prime_1536
570# define get_rfc3526_prime_2048 BN_get_rfc3526_prime_2048
571# define get_rfc3526_prime_3072 BN_get_rfc3526_prime_3072
572# define get_rfc3526_prime_4096 BN_get_rfc3526_prime_4096
573# define get_rfc3526_prime_6144 BN_get_rfc3526_prime_6144
574# define get_rfc3526_prime_8192 BN_get_rfc3526_prime_8192
575# endif
576
577int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom);
578
579
580# ifdef __cplusplus
581}
582# endif
583#endif
584