1/*
2 * Copyright 1995-2016 The OpenSSL Project Authors. All Rights Reserved.
3 *
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
8 */
9
10/* ====================================================================
11 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
12 *
13 * Portions of the attached software ("Contribution") are developed by
14 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
15 *
16 * The Contribution is licensed pursuant to the Eric Young open source
17 * license provided above.
18 *
19 * The binary polynomial arithmetic software is originally written by
20 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
21 *
22 */
23
24#ifndef HEADER_BN_H
25# define HEADER_BN_H
26
27# include <openssl/e_os2.h>
28# ifndef OPENSSL_NO_STDIO
29# include <stdio.h>
30# endif
31# include <openssl/opensslconf.h>
32# include <openssl/ossl_typ.h>
33# include <openssl/crypto.h>
34
35#ifdef __cplusplus
36extern "C" {
37#endif
38
39/*
40 * 64-bit processor with LP64 ABI
41 */
42# ifdef SIXTY_FOUR_BIT_LONG
43# define BN_ULONG unsigned long
44# define BN_BYTES 8
45# endif
46
47/*
48 * 64-bit processor other than LP64 ABI
49 */
50# ifdef SIXTY_FOUR_BIT
51# define BN_ULONG unsigned long long
52# define BN_BYTES 8
53# endif
54
55# ifdef THIRTY_TWO_BIT
56# define BN_ULONG unsigned int
57# define BN_BYTES 4
58# endif
59
60# define BN_BITS2 (BN_BYTES * 8)
61# define BN_BITS (BN_BITS2 * 2)
62# define BN_TBIT ((BN_ULONG)1 << (BN_BITS2 - 1))
63
64# define BN_FLG_MALLOCED 0x01
65# define BN_FLG_STATIC_DATA 0x02
66
67/*
68 * avoid leaking exponent information through timing,
69 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
70 * BN_div() will call BN_div_no_branch,
71 * BN_mod_inverse() will call BN_mod_inverse_no_branch.
72 */
73# define BN_FLG_CONSTTIME 0x04
74# define BN_FLG_SECURE 0x08
75
76# if OPENSSL_API_COMPAT < 0x00908000L
77/* deprecated name for the flag */
78# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME
79# define BN_FLG_FREE 0x8000 /* used for debugging */
80# endif
81
82void BN_set_flags(BIGNUM *b, int n);
83int BN_get_flags(const BIGNUM *b, int n);
84
85/* Values for |top| in BN_rand() */
86#define BN_RAND_TOP_ANY -1
87#define BN_RAND_TOP_ONE 0
88#define BN_RAND_TOP_TWO 1
89
90/* Values for |bottom| in BN_rand() */
91#define BN_RAND_BOTTOM_ANY 0
92#define BN_RAND_BOTTOM_ODD 1
93
94/*
95 * get a clone of a BIGNUM with changed flags, for *temporary* use only (the
96 * two BIGNUMs cannot be used in parallel!). Also only for *read only* use. The
97 * value |dest| should be a newly allocated BIGNUM obtained via BN_new() that
98 * has not been otherwise initialised or used.
99 */
100void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int flags);
101
102/* Wrapper function to make using BN_GENCB easier */
103int BN_GENCB_call(BN_GENCB *cb, int a, int b);
104
105BN_GENCB *BN_GENCB_new(void);
106void BN_GENCB_free(BN_GENCB *cb);
107
108/* Populate a BN_GENCB structure with an "old"-style callback */
109void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback) (int, int, void *),
110 void *cb_arg);
111
112/* Populate a BN_GENCB structure with a "new"-style callback */
113void BN_GENCB_set(BN_GENCB *gencb, int (*callback) (int, int, BN_GENCB *),
114 void *cb_arg);
115
116void *BN_GENCB_get_arg(BN_GENCB *cb);
117
118# define BN_prime_checks 0 /* default: select number of iterations based
119 * on the size of the number */
120
121/*
122 * number of Miller-Rabin iterations for an error rate of less than 2^-80 for
123 * random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook of
124 * Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
125 * original paper: Damgaard, Landrock, Pomerance: Average case error
126 * estimates for the strong probable prime test. -- Math. Comp. 61 (1993)
127 * 177-194)
128 */
129# define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
130 (b) >= 850 ? 3 : \
131 (b) >= 650 ? 4 : \
132 (b) >= 550 ? 5 : \
133 (b) >= 450 ? 6 : \
134 (b) >= 400 ? 7 : \
135 (b) >= 350 ? 8 : \
136 (b) >= 300 ? 9 : \
137 (b) >= 250 ? 12 : \
138 (b) >= 200 ? 15 : \
139 (b) >= 150 ? 18 : \
140 /* b >= 100 */ 27)
141
142# define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
143
144int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w);
145int BN_is_zero(const BIGNUM *a);
146int BN_is_one(const BIGNUM *a);
147int BN_is_word(const BIGNUM *a, const BN_ULONG w);
148int BN_is_odd(const BIGNUM *a);
149
150# define BN_one(a) (BN_set_word((a),1))
151
152void BN_zero_ex(BIGNUM *a);
153
154# if OPENSSL_API_COMPAT >= 0x00908000L
155# define BN_zero(a) BN_zero_ex(a)
156# else
157# define BN_zero(a) (BN_set_word((a),0))
158# endif
159
160const BIGNUM *BN_value_one(void);
161char *BN_options(void);
162BN_CTX *BN_CTX_new(void);
163BN_CTX *BN_CTX_secure_new(void);
164void BN_CTX_free(BN_CTX *c);
165void BN_CTX_start(BN_CTX *ctx);
166BIGNUM *BN_CTX_get(BN_CTX *ctx);
167void BN_CTX_end(BN_CTX *ctx);
168int BN_rand(BIGNUM *rnd, int bits, int top, int bottom);
169int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
170int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
171int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
172int BN_num_bits(const BIGNUM *a);
173int BN_num_bits_word(BN_ULONG l);
174int BN_security_bits(int L, int N);
175BIGNUM *BN_new(void);
176BIGNUM *BN_secure_new(void);
177void BN_clear_free(BIGNUM *a);
178BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
179void BN_swap(BIGNUM *a, BIGNUM *b);
180BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret);
181int BN_bn2bin(const BIGNUM *a, unsigned char *to);
182int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen);
183BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret);
184int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen);
185BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret);
186int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
187int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
188int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
189int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
190int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
191int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
192int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx);
193/** BN_set_negative sets sign of a BIGNUM
194 * \param b pointer to the BIGNUM object
195 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
196 */
197void BN_set_negative(BIGNUM *b, int n);
198/** BN_is_negative returns 1 if the BIGNUM is negative
199 * \param b pointer to the BIGNUM object
200 * \return 1 if a < 0 and 0 otherwise
201 */
202int BN_is_negative(const BIGNUM *b);
203
204int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
205 BN_CTX *ctx);
206# define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
207int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
208int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
209 BN_CTX *ctx);
210int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
211 const BIGNUM *m);
212int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
213 BN_CTX *ctx);
214int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
215 const BIGNUM *m);
216int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m,
217 BN_CTX *ctx);
218int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
219int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
220int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
221int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m,
222 BN_CTX *ctx);
223int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
224
225BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
226BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
227int BN_mul_word(BIGNUM *a, BN_ULONG w);
228int BN_add_word(BIGNUM *a, BN_ULONG w);
229int BN_sub_word(BIGNUM *a, BN_ULONG w);
230int BN_set_word(BIGNUM *a, BN_ULONG w);
231BN_ULONG BN_get_word(const BIGNUM *a);
232
233int BN_cmp(const BIGNUM *a, const BIGNUM *b);
234void BN_free(BIGNUM *a);
235int BN_is_bit_set(const BIGNUM *a, int n);
236int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
237int BN_lshift1(BIGNUM *r, const BIGNUM *a);
238int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
239
240int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
241 const BIGNUM *m, BN_CTX *ctx);
242int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
243 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
244int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
245 const BIGNUM *m, BN_CTX *ctx,
246 BN_MONT_CTX *in_mont);
247int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
248 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
249int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
250 const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
251 BN_CTX *ctx, BN_MONT_CTX *m_ctx);
252int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
253 const BIGNUM *m, BN_CTX *ctx);
254
255int BN_mask_bits(BIGNUM *a, int n);
256# ifndef OPENSSL_NO_STDIO
257int BN_print_fp(FILE *fp, const BIGNUM *a);
258# endif
259int BN_print(BIO *bio, const BIGNUM *a);
260int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
261int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
262int BN_rshift1(BIGNUM *r, const BIGNUM *a);
263void BN_clear(BIGNUM *a);
264BIGNUM *BN_dup(const BIGNUM *a);
265int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
266int BN_set_bit(BIGNUM *a, int n);
267int BN_clear_bit(BIGNUM *a, int n);
268char *BN_bn2hex(const BIGNUM *a);
269char *BN_bn2dec(const BIGNUM *a);
270int BN_hex2bn(BIGNUM **a, const char *str);
271int BN_dec2bn(BIGNUM **a, const char *str);
272int BN_asc2bn(BIGNUM **a, const char *str);
273int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
274int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns
275 * -2 for
276 * error */
277BIGNUM *BN_mod_inverse(BIGNUM *ret,
278 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
279BIGNUM *BN_mod_sqrt(BIGNUM *ret,
280 const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
281
282void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords);
283
284/* Deprecated versions */
285DEPRECATEDIN_0_9_8(BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
286 const BIGNUM *add,
287 const BIGNUM *rem,
288 void (*callback) (int, int,
289 void *),
290 void *cb_arg))
291DEPRECATEDIN_0_9_8(int
292 BN_is_prime(const BIGNUM *p, int nchecks,
293 void (*callback) (int, int, void *),
294 BN_CTX *ctx, void *cb_arg))
295DEPRECATEDIN_0_9_8(int
296 BN_is_prime_fasttest(const BIGNUM *p, int nchecks,
297 void (*callback) (int, int, void *),
298 BN_CTX *ctx, void *cb_arg,
299 int do_trial_division))
300
301/* Newer versions */
302int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add,
303 const BIGNUM *rem, BN_GENCB *cb);
304int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb);
305int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx,
306 int do_trial_division, BN_GENCB *cb);
307
308int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx);
309
310int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
311 const BIGNUM *Xp, const BIGNUM *Xp1,
312 const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx,
313 BN_GENCB *cb);
314int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1,
315 BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e,
316 BN_CTX *ctx, BN_GENCB *cb);
317
318BN_MONT_CTX *BN_MONT_CTX_new(void);
319int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
320 BN_MONT_CTX *mont, BN_CTX *ctx);
321int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
322 BN_CTX *ctx);
323int BN_from_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
324 BN_CTX *ctx);
325void BN_MONT_CTX_free(BN_MONT_CTX *mont);
326int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx);
327BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
328BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, CRYPTO_RWLOCK *lock,
329 const BIGNUM *mod, BN_CTX *ctx);
330
331/* BN_BLINDING flags */
332# define BN_BLINDING_NO_UPDATE 0x00000001
333# define BN_BLINDING_NO_RECREATE 0x00000002
334
335BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
336void BN_BLINDING_free(BN_BLINDING *b);
337int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx);
338int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
339int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
340int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
341int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b,
342 BN_CTX *);
343
344int BN_BLINDING_is_current_thread(BN_BLINDING *b);
345void BN_BLINDING_set_current_thread(BN_BLINDING *b);
346int BN_BLINDING_lock(BN_BLINDING *b);
347int BN_BLINDING_unlock(BN_BLINDING *b);
348
349unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
350void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
351BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
352 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
353 int (*bn_mod_exp) (BIGNUM *r,
354 const BIGNUM *a,
355 const BIGNUM *p,
356 const BIGNUM *m,
357 BN_CTX *ctx,
358 BN_MONT_CTX *m_ctx),
359 BN_MONT_CTX *m_ctx);
360
361DEPRECATEDIN_0_9_8(void BN_set_params(int mul, int high, int low, int mont))
362DEPRECATEDIN_0_9_8(int BN_get_params(int which)) /* 0, mul, 1 high, 2 low, 3
363 * mont */
364
365BN_RECP_CTX *BN_RECP_CTX_new(void);
366void BN_RECP_CTX_free(BN_RECP_CTX *recp);
367int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx);
368int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
369 BN_RECP_CTX *recp, BN_CTX *ctx);
370int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
371 const BIGNUM *m, BN_CTX *ctx);
372int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
373 BN_RECP_CTX *recp, BN_CTX *ctx);
374
375# ifndef OPENSSL_NO_EC2M
376
377/*
378 * Functions for arithmetic over binary polynomials represented by BIGNUMs.
379 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
380 * ignored. Note that input arguments are not const so that their bit arrays
381 * can be expanded to the appropriate size if needed.
382 */
383
384/*
385 * r = a + b
386 */
387int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
388# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
389/*
390 * r=a mod p
391 */
392int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p);
393/* r = (a * b) mod p */
394int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
395 const BIGNUM *p, BN_CTX *ctx);
396/* r = (a * a) mod p */
397int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
398/* r = (1 / b) mod p */
399int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx);
400/* r = (a / b) mod p */
401int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
402 const BIGNUM *p, BN_CTX *ctx);
403/* r = (a ^ b) mod p */
404int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
405 const BIGNUM *p, BN_CTX *ctx);
406/* r = sqrt(a) mod p */
407int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
408 BN_CTX *ctx);
409/* r^2 + r = a mod p */
410int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
411 BN_CTX *ctx);
412# define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
413/*-
414 * Some functions allow for representation of the irreducible polynomials
415 * as an unsigned int[], say p. The irreducible f(t) is then of the form:
416 * t^p[0] + t^p[1] + ... + t^p[k]
417 * where m = p[0] > p[1] > ... > p[k] = 0.
418 */
419/* r = a mod p */
420int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
421/* r = (a * b) mod p */
422int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
423 const int p[], BN_CTX *ctx);
424/* r = (a * a) mod p */
425int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
426 BN_CTX *ctx);
427/* r = (1 / b) mod p */
428int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
429 BN_CTX *ctx);
430/* r = (a / b) mod p */
431int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
432 const int p[], BN_CTX *ctx);
433/* r = (a ^ b) mod p */
434int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
435 const int p[], BN_CTX *ctx);
436/* r = sqrt(a) mod p */
437int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
438 const int p[], BN_CTX *ctx);
439/* r^2 + r = a mod p */
440int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
441 const int p[], BN_CTX *ctx);
442int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
443int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
444
445# endif
446
447/*
448 * faster mod functions for the 'NIST primes' 0 <= a < p^2
449 */
450int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
451int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
452int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
453int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
454int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
455
456const BIGNUM *BN_get0_nist_prime_192(void);
457const BIGNUM *BN_get0_nist_prime_224(void);
458const BIGNUM *BN_get0_nist_prime_256(void);
459const BIGNUM *BN_get0_nist_prime_384(void);
460const BIGNUM *BN_get0_nist_prime_521(void);
461
462int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a,
463 const BIGNUM *field, BN_CTX *ctx);
464
465int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range,
466 const BIGNUM *priv, const unsigned char *message,
467 size_t message_len, BN_CTX *ctx);
468
469/* Primes from RFC 2409 */
470BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn);
471BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn);
472
473/* Primes from RFC 3526 */
474BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn);
475BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn);
476BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn);
477BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn);
478BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn);
479BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn);
480
481# if OPENSSL_API_COMPAT < 0x10100000L
482# define get_rfc2409_prime_768 BN_get_rfc2409_prime_768
483# define get_rfc2409_prime_1024 BN_get_rfc2409_prime_1024
484# define get_rfc3526_prime_1536 BN_get_rfc3526_prime_1536
485# define get_rfc3526_prime_2048 BN_get_rfc3526_prime_2048
486# define get_rfc3526_prime_3072 BN_get_rfc3526_prime_3072
487# define get_rfc3526_prime_4096 BN_get_rfc3526_prime_4096
488# define get_rfc3526_prime_6144 BN_get_rfc3526_prime_6144
489# define get_rfc3526_prime_8192 BN_get_rfc3526_prime_8192
490# endif
491
492int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom);
493
494/* BEGIN ERROR CODES */
495/*
496 * The following lines are auto generated by the script mkerr.pl. Any changes
497 * made after this point may be overwritten when the script is next run.
498 */
499
500int ERR_load_BN_strings(void);
501
502/* Error codes for the BN functions. */
503
504/* Function codes. */
505# define BN_F_BNRAND 127
506# define BN_F_BN_BLINDING_CONVERT_EX 100
507# define BN_F_BN_BLINDING_CREATE_PARAM 128
508# define BN_F_BN_BLINDING_INVERT_EX 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_COMPUTE_WNAF 142
514# define BN_F_BN_CTX_GET 116
515# define BN_F_BN_CTX_NEW 106
516# define BN_F_BN_CTX_START 129
517# define BN_F_BN_DIV 107
518# define BN_F_BN_DIV_RECP 130
519# define BN_F_BN_EXP 123
520# define BN_F_BN_EXPAND_INTERNAL 120
521# define BN_F_BN_GENCB_NEW 143
522# define BN_F_BN_GENERATE_DSA_NONCE 140
523# define BN_F_BN_GENERATE_PRIME_EX 141
524# define BN_F_BN_GF2M_MOD 131
525# define BN_F_BN_GF2M_MOD_EXP 132
526# define BN_F_BN_GF2M_MOD_MUL 133
527# define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
528# define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
529# define BN_F_BN_GF2M_MOD_SQR 136
530# define BN_F_BN_GF2M_MOD_SQRT 137
531# define BN_F_BN_LSHIFT 145
532# define BN_F_BN_MOD_EXP2_MONT 118
533# define BN_F_BN_MOD_EXP_MONT 109
534# define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
535# define BN_F_BN_MOD_EXP_MONT_WORD 117
536# define BN_F_BN_MOD_EXP_RECP 125
537# define BN_F_BN_MOD_EXP_SIMPLE 126
538# define BN_F_BN_MOD_INVERSE 110
539# define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
540# define BN_F_BN_MOD_LSHIFT_QUICK 119
541# define BN_F_BN_MOD_SQRT 121
542# define BN_F_BN_MPI2BN 112
543# define BN_F_BN_NEW 113
544# define BN_F_BN_RAND 114
545# define BN_F_BN_RAND_RANGE 122
546# define BN_F_BN_RSHIFT 146
547# define BN_F_BN_SET_WORDS 144
548# define BN_F_BN_USUB 115
549
550/* Reason codes. */
551# define BN_R_ARG2_LT_ARG3 100
552# define BN_R_BAD_RECIPROCAL 101
553# define BN_R_BIGNUM_TOO_LONG 114
554# define BN_R_BITS_TOO_SMALL 118
555# define BN_R_CALLED_WITH_EVEN_MODULUS 102
556# define BN_R_DIV_BY_ZERO 103
557# define BN_R_ENCODING_ERROR 104
558# define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
559# define BN_R_INPUT_NOT_REDUCED 110
560# define BN_R_INVALID_LENGTH 106
561# define BN_R_INVALID_RANGE 115
562# define BN_R_INVALID_SHIFT 119
563# define BN_R_NOT_A_SQUARE 111
564# define BN_R_NOT_INITIALIZED 107
565# define BN_R_NO_INVERSE 108
566# define BN_R_NO_SOLUTION 116
567# define BN_R_PRIVATE_KEY_TOO_LARGE 117
568# define BN_R_P_IS_NOT_PRIME 112
569# define BN_R_TOO_MANY_ITERATIONS 113
570# define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
571
572# ifdef __cplusplus
573}
574# endif
575#endif
576