1/* crypto/bn/bn.h */
2/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
3 * All rights reserved.
4 *
5 * This package is an SSL implementation written
6 * by Eric Young (eay@cryptsoft.com).
7 * The implementation was written so as to conform with Netscapes SSL.
8 *
9 * This library is free for commercial and non-commercial use as long as
10 * the following conditions are aheared to. The following conditions
11 * apply to all code found in this distribution, be it the RC4, RSA,
12 * lhash, DES, etc., code; not just the SSL code. The SSL documentation
13 * included with this distribution is covered by the same copyright terms
14 * except that the holder is Tim Hudson (tjh@cryptsoft.com).
15 *
16 * Copyright remains Eric Young's, and as such any Copyright notices in
17 * the code are not to be removed.
18 * If this package is used in a product, Eric Young should be given attribution
19 * as the author of the parts of the library used.
20 * This can be in the form of a textual message at program startup or
21 * in documentation (online or textual) provided with the package.
22 *
23 * Redistribution and use in source and binary forms, with or without
24 * modification, are permitted provided that the following conditions
25 * are met:
26 * 1. Redistributions of source code must retain the copyright
27 * notice, this list of conditions and the following disclaimer.
28 * 2. Redistributions in binary form must reproduce the above copyright
29 * notice, this list of conditions and the following disclaimer in the
30 * documentation and/or other materials provided with the distribution.
31 * 3. All advertising materials mentioning features or use of this software
32 * must display the following acknowledgement:
33 * "This product includes cryptographic software written by
34 * Eric Young (eay@cryptsoft.com)"
35 * The word 'cryptographic' can be left out if the rouines from the library
36 * being used are not cryptographic related :-).
37 * 4. If you include any Windows specific code (or a derivative thereof) from
38 * the apps directory (application code) you must include an acknowledgement:
39 * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
40 *
41 * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
42 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
43 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
44 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
45 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
46 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
47 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
48 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
49 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
50 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
51 * SUCH DAMAGE.
52 *
53 * The licence and distribution terms for any publically available version or
54 * derivative of this code cannot be changed. i.e. this code cannot simply be
55 * copied and put under another distribution licence
56 * [including the GNU Public Licence.]
57 */
58/* ====================================================================
59 * Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
60 *
61 * Redistribution and use in source and binary forms, with or without
62 * modification, are permitted provided that the following conditions
63 * are met:
64 *
65 * 1. Redistributions of source code must retain the above copyright
66 * notice, this list of conditions and the following disclaimer.
67 *
68 * 2. Redistributions in binary form must reproduce the above copyright
69 * notice, this list of conditions and the following disclaimer in
70 * the documentation and/or other materials provided with the
71 * distribution.
72 *
73 * 3. All advertising materials mentioning features or use of this
74 * software must display the following acknowledgment:
75 * "This product includes software developed by the OpenSSL Project
76 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
77 *
78 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
79 * endorse or promote products derived from this software without
80 * prior written permission. For written permission, please contact
81 * openssl-core@openssl.org.
82 *
83 * 5. Products derived from this software may not be called "OpenSSL"
84 * nor may "OpenSSL" appear in their names without prior written
85 * permission of the OpenSSL Project.
86 *
87 * 6. Redistributions of any form whatsoever must retain the following
88 * acknowledgment:
89 * "This product includes software developed by the OpenSSL Project
90 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
91 *
92 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
93 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
94 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
95 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
96 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
97 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
98 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
99 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
100 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
101 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
102 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
103 * OF THE POSSIBILITY OF SUCH DAMAGE.
104 * ====================================================================
105 *
106 * This product includes cryptographic software written by Eric Young
107 * (eay@cryptsoft.com). This product includes software written by Tim
108 * Hudson (tjh@cryptsoft.com).
109 *
110 */
111/* ====================================================================
112 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
113 *
114 * Portions of the attached software ("Contribution") are developed by
115 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
116 *
117 * The Contribution is licensed pursuant to the Eric Young open source
118 * license provided above.
119 *
120 * The binary polynomial arithmetic software is originally written by
121 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
122 *
123 */
124
125#ifndef HEADER_BN_H
126#define HEADER_BN_H
127
128#include <openssl/e_os2.h>
129#ifndef OPENSSL_NO_FP_API
130#include <stdio.h> /* FILE */
131#endif
132#include <openssl/ossl_typ.h>
133#include <openssl/crypto.h>
134#include <limits.h>
135
136#ifdef __cplusplus
137extern "C" {
138#endif
139
140/* These preprocessor symbols control various aspects of the bignum headers and
141 * library code. They're not defined by any "normal" configuration, as they are
142 * intended for development and testing purposes. NB: defining all three can be
143 * useful for debugging application code as well as openssl itself.
144 *
145 * BN_DEBUG - turn on various debugging alterations to the bignum code
146 * BN_DEBUG_RAND - uses random poisoning of unused words to trip up
147 * mismanagement of bignum internals. You must also define BN_DEBUG.
148 */
149/* #define BN_DEBUG */
150/* #define BN_DEBUG_RAND */
151
152#ifndef OPENSSL_SMALL_FOOTPRINT
153#define BN_MUL_COMBA
154#define BN_SQR_COMBA
155#define BN_RECURSION
156#endif
157
158/* This next option uses the C libraries (2 word)/(1 word) function.
159 * If it is not defined, I use my C version (which is slower).
160 * The reason for this flag is that when the particular C compiler
161 * library routine is used, and the library is linked with a different
162 * compiler, the library is missing. This mostly happens when the
163 * library is built with gcc and then linked using normal cc. This would
164 * be a common occurrence because gcc normally produces code that is
165 * 2 times faster than system compilers for the big number stuff.
166 * For machines with only one compiler (or shared libraries), this should
167 * be on. Again this in only really a problem on machines
168 * using "long long's", are 32bit, and are not using my assembler code. */
169#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
170 defined(OPENSSL_SYS_WIN32) || defined(linux)
171# ifndef BN_DIV2W
172# define BN_DIV2W
173# endif
174#endif
175
176/* assuming long is 64bit - this is the DEC Alpha
177 * unsigned long long is only 64 bits :-(, don't define
178 * BN_LLONG for the DEC Alpha */
179#ifdef SIXTY_FOUR_BIT_LONG
180#define BN_ULLONG unsigned long long
181#define BN_ULONG unsigned long
182#define BN_LONG long
183#define BN_BITS 128
184#define BN_BYTES 8
185#define BN_BITS2 64
186#define BN_BITS4 32
187#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
188#define BN_MASK2 (0xffffffffffffffffL)
189#define BN_MASK2l (0xffffffffL)
190#define BN_MASK2h (0xffffffff00000000L)
191#define BN_MASK2h1 (0xffffffff80000000L)
192#define BN_TBIT (0x8000000000000000L)
193#define BN_DEC_CONV (10000000000000000000UL)
194#define BN_DEC_FMT1 "%lu"
195#define BN_DEC_FMT2 "%019lu"
196#define BN_DEC_NUM 19
197#define BN_HEX_FMT1 "%lX"
198#define BN_HEX_FMT2 "%016lX"
199#endif
200
201/* This is where the long long data type is 64 bits, but long is 32.
202 * For machines where there are 64bit registers, this is the mode to use.
203 * IRIX, on R4000 and above should use this mode, along with the relevant
204 * assembler code :-). Do NOT define BN_LLONG.
205 */
206#ifdef SIXTY_FOUR_BIT
207#undef BN_LLONG
208#undef BN_ULLONG
209#define BN_ULONG unsigned long long
210#define BN_LONG long long
211#define BN_BITS 128
212#define BN_BYTES 8
213#define BN_BITS2 64
214#define BN_BITS4 32
215#define BN_MASK2 (0xffffffffffffffffLL)
216#define BN_MASK2l (0xffffffffL)
217#define BN_MASK2h (0xffffffff00000000LL)
218#define BN_MASK2h1 (0xffffffff80000000LL)
219#define BN_TBIT (0x8000000000000000LL)
220#define BN_DEC_CONV (10000000000000000000ULL)
221#define BN_DEC_FMT1 "%llu"
222#define BN_DEC_FMT2 "%019llu"
223#define BN_DEC_NUM 19
224#define BN_HEX_FMT1 "%llX"
225#define BN_HEX_FMT2 "%016llX"
226#endif
227
228#ifdef THIRTY_TWO_BIT
229#ifdef BN_LLONG
230# if defined(_WIN32) && !defined(__GNUC__)
231# define BN_ULLONG unsigned __int64
232# define BN_MASK (0xffffffffffffffffI64)
233# else
234# define BN_ULLONG unsigned long long
235# define BN_MASK (0xffffffffffffffffLL)
236# endif
237#endif
238#define BN_ULONG unsigned int
239#define BN_LONG int
240#define BN_BITS 64
241#define BN_BYTES 4
242#define BN_BITS2 32
243#define BN_BITS4 16
244#define BN_MASK2 (0xffffffffL)
245#define BN_MASK2l (0xffff)
246#define BN_MASK2h1 (0xffff8000L)
247#define BN_MASK2h (0xffff0000L)
248#define BN_TBIT (0x80000000L)
249#define BN_DEC_CONV (1000000000L)
250#define BN_DEC_FMT1 "%u"
251#define BN_DEC_FMT2 "%09u"
252#define BN_DEC_NUM 9
253#define BN_HEX_FMT1 "%X"
254#define BN_HEX_FMT2 "%08X"
255#endif
256
257/* 2011-02-22 SMS.
258 * In various places, a size_t variable or a type cast to size_t was
259 * used to perform integer-only operations on pointers. This failed on
260 * VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t is
261 * still only 32 bits. What's needed in these cases is an integer type
262 * with the same size as a pointer, which size_t is not certain to be.
263 * The only fix here is VMS-specific.
264 */
265#if defined(OPENSSL_SYS_VMS)
266# if __INITIAL_POINTER_SIZE == 64
267# define PTR_SIZE_INT long long
268# else /* __INITIAL_POINTER_SIZE == 64 */
269# define PTR_SIZE_INT int
270# endif /* __INITIAL_POINTER_SIZE == 64 [else] */
271#else /* defined(OPENSSL_SYS_VMS) */
272# define PTR_SIZE_INT size_t
273#endif /* defined(OPENSSL_SYS_VMS) [else] */
274
275#define BN_DEFAULT_BITS 1280
276
277#define BN_FLG_MALLOCED 0x01
278#define BN_FLG_STATIC_DATA 0x02
279#define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing,
280 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
281 * BN_div() will call BN_div_no_branch,
282 * BN_mod_inverse() will call BN_mod_inverse_no_branch.
283 */
284
285#ifndef OPENSSL_NO_DEPRECATED
286#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */
287 /* avoid leaking exponent information through timings
288 * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
289#endif
290
291#ifndef OPENSSL_NO_DEPRECATED
292#define BN_FLG_FREE 0x8000 /* used for debuging */
293#endif
294#define BN_set_flags(b,n) ((b)->flags|=(n))
295#define BN_get_flags(b,n) ((b)->flags&(n))
296
297/* get a clone of a BIGNUM with changed flags, for *temporary* use only
298 * (the two BIGNUMs cannot not be used in parallel!) */
299#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
300 (dest)->top=(b)->top, \
301 (dest)->dmax=(b)->dmax, \
302 (dest)->neg=(b)->neg, \
303 (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
304 | ((b)->flags & ~BN_FLG_MALLOCED) \
305 | BN_FLG_STATIC_DATA \
306 | (n)))
307
308/* Already declared in ossl_typ.h */
309#if 0
310typedef struct bignum_st BIGNUM;
311/* Used for temp variables (declaration hidden in bn_lcl.h) */
312typedef struct bignum_ctx BN_CTX;
313typedef struct bn_blinding_st BN_BLINDING;
314typedef struct bn_mont_ctx_st BN_MONT_CTX;
315typedef struct bn_recp_ctx_st BN_RECP_CTX;
316typedef struct bn_gencb_st BN_GENCB;
317#endif
318
319struct bignum_st
320 {
321 BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
322 int top; /* Index of last used d +1. */
323 /* The next are internal book keeping for bn_expand. */
324 int dmax; /* Size of the d array. */
325 int neg; /* one if the number is negative */
326 int flags;
327 };
328
329/* Used for montgomery multiplication */
330struct bn_mont_ctx_st
331 {
332 int ri; /* number of bits in R */
333 BIGNUM RR; /* used to convert to montgomery form */
334 BIGNUM N; /* The modulus */
335 BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
336 * (Ni is only stored for bignum algorithm) */
337 BN_ULONG n0[2];/* least significant word(s) of Ni;
338 (type changed with 0.9.9, was "BN_ULONG n0;" before) */
339 int flags;
340 };
341
342/* Used for reciprocal division/mod functions
343 * It cannot be shared between threads
344 */
345struct bn_recp_ctx_st
346 {
347 BIGNUM N; /* the divisor */
348 BIGNUM Nr; /* the reciprocal */
349 int num_bits;
350 int shift;
351 int flags;
352 };
353
354/* Used for slow "generation" functions. */
355struct bn_gencb_st
356 {
357 unsigned int ver; /* To handle binary (in)compatibility */
358 void *arg; /* callback-specific data */
359 union
360 {
361 /* if(ver==1) - handles old style callbacks */
362 void (*cb_1)(int, int, void *);
363 /* if(ver==2) - new callback style */
364 int (*cb_2)(int, int, BN_GENCB *);
365 } cb;
366 };
367/* Wrapper function to make using BN_GENCB easier, */
368int BN_GENCB_call(BN_GENCB *cb, int a, int b);
369/* Macro to populate a BN_GENCB structure with an "old"-style callback */
370#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
371 BN_GENCB *tmp_gencb = (gencb); \
372 tmp_gencb->ver = 1; \
373 tmp_gencb->arg = (cb_arg); \
374 tmp_gencb->cb.cb_1 = (callback); }
375/* Macro to populate a BN_GENCB structure with a "new"-style callback */
376#define BN_GENCB_set(gencb, callback, cb_arg) { \
377 BN_GENCB *tmp_gencb = (gencb); \
378 tmp_gencb->ver = 2; \
379 tmp_gencb->arg = (cb_arg); \
380 tmp_gencb->cb.cb_2 = (callback); }
381
382#define BN_prime_checks 0 /* default: select number of iterations
383 based on the size of the number */
384
385/* number of Miller-Rabin iterations for an error rate of less than 2^-80
386 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
387 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
388 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
389 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
390#define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
391 (b) >= 850 ? 3 : \
392 (b) >= 650 ? 4 : \
393 (b) >= 550 ? 5 : \
394 (b) >= 450 ? 6 : \
395 (b) >= 400 ? 7 : \
396 (b) >= 350 ? 8 : \
397 (b) >= 300 ? 9 : \
398 (b) >= 250 ? 12 : \
399 (b) >= 200 ? 15 : \
400 (b) >= 150 ? 18 : \
401 /* b >= 100 */ 27)
402
403#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
404
405/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
406#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
407 (((w) == 0) && ((a)->top == 0)))
408#define BN_is_zero(a) ((a)->top == 0)
409#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
410#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
411#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
412
413#define BN_one(a) (BN_set_word((a),1))
414#define BN_zero_ex(a) \
415 do { \
416 BIGNUM *_tmp_bn = (a); \
417 _tmp_bn->top = 0; \
418 _tmp_bn->neg = 0; \
419 } while(0)
420#ifdef OPENSSL_NO_DEPRECATED
421#define BN_zero(a) BN_zero_ex(a)
422#else
423#define BN_zero(a) (BN_set_word((a),0))
424#endif
425
426const BIGNUM *BN_value_one(void);
427char * BN_options(void);
428BN_CTX *BN_CTX_new(void);
429#ifndef OPENSSL_NO_DEPRECATED
430void BN_CTX_init(BN_CTX *c);
431#endif
432void BN_CTX_free(BN_CTX *c);
433void BN_CTX_start(BN_CTX *ctx);
434BIGNUM *BN_CTX_get(BN_CTX *ctx);
435void BN_CTX_end(BN_CTX *ctx);
436int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
437int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
438int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
439int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
440int BN_num_bits(const BIGNUM *a);
441int BN_num_bits_word(BN_ULONG);
442BIGNUM *BN_new(void);
443void BN_init(BIGNUM *);
444void BN_clear_free(BIGNUM *a);
445BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
446void BN_swap(BIGNUM *a, BIGNUM *b);
447BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
448int BN_bn2bin(const BIGNUM *a, unsigned char *to);
449BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
450int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
451int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
452int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
453int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
454int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
455int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
456int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
457/** BN_set_negative sets sign of a BIGNUM
458 * \param b pointer to the BIGNUM object
459 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
460 */
461void BN_set_negative(BIGNUM *b, int n);
462/** BN_is_negative returns 1 if the BIGNUM is negative
463 * \param a pointer to the BIGNUM object
464 * \return 1 if a < 0 and 0 otherwise
465 */
466#define BN_is_negative(a) ((a)->neg != 0)
467
468int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
469 BN_CTX *ctx);
470#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
471int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
472int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
473int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
474int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
475int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
476int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
477 const BIGNUM *m, BN_CTX *ctx);
478int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
479int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
480int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
481int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
482int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
483
484BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
485BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
486int BN_mul_word(BIGNUM *a, BN_ULONG w);
487int BN_add_word(BIGNUM *a, BN_ULONG w);
488int BN_sub_word(BIGNUM *a, BN_ULONG w);
489int BN_set_word(BIGNUM *a, BN_ULONG w);
490BN_ULONG BN_get_word(const BIGNUM *a);
491
492int BN_cmp(const BIGNUM *a, const BIGNUM *b);
493void BN_free(BIGNUM *a);
494int BN_is_bit_set(const BIGNUM *a, int n);
495int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
496int BN_lshift1(BIGNUM *r, const BIGNUM *a);
497int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
498
499int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
500 const BIGNUM *m,BN_CTX *ctx);
501int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
502 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
503int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
504 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
505int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
506 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
507int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
508 const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
509 BN_CTX *ctx,BN_MONT_CTX *m_ctx);
510int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
511 const BIGNUM *m,BN_CTX *ctx);
512
513int BN_mask_bits(BIGNUM *a,int n);
514#ifndef OPENSSL_NO_FP_API
515int BN_print_fp(FILE *fp, const BIGNUM *a);
516#endif
517#ifdef HEADER_BIO_H
518int BN_print(BIO *fp, const BIGNUM *a);
519#else
520int BN_print(void *fp, const BIGNUM *a);
521#endif
522int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
523int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
524int BN_rshift1(BIGNUM *r, const BIGNUM *a);
525void BN_clear(BIGNUM *a);
526BIGNUM *BN_dup(const BIGNUM *a);
527int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
528int BN_set_bit(BIGNUM *a, int n);
529int BN_clear_bit(BIGNUM *a, int n);
530char * BN_bn2hex(const BIGNUM *a);
531char * BN_bn2dec(const BIGNUM *a);
532int BN_hex2bn(BIGNUM **a, const char *str);
533int BN_dec2bn(BIGNUM **a, const char *str);
534int BN_asc2bn(BIGNUM **a, const char *str);
535int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
536int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
537BIGNUM *BN_mod_inverse(BIGNUM *ret,
538 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
539BIGNUM *BN_mod_sqrt(BIGNUM *ret,
540 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
541
542void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords);
543
544/* Deprecated versions */
545#ifndef OPENSSL_NO_DEPRECATED
546BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
547 const BIGNUM *add, const BIGNUM *rem,
548 void (*callback)(int,int,void *),void *cb_arg);
549int BN_is_prime(const BIGNUM *p,int nchecks,
550 void (*callback)(int,int,void *),
551 BN_CTX *ctx,void *cb_arg);
552int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
553 void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
554 int do_trial_division);
555#endif /* !defined(OPENSSL_NO_DEPRECATED) */
556
557/* Newer versions */
558int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
559 const BIGNUM *rem, BN_GENCB *cb);
560int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
561int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
562 int do_trial_division, BN_GENCB *cb);
563
564int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx);
565
566int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
567 const BIGNUM *Xp, const BIGNUM *Xp1, const BIGNUM *Xp2,
568 const BIGNUM *e, BN_CTX *ctx, BN_GENCB *cb);
569int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
570 BIGNUM *Xp1, BIGNUM *Xp2,
571 const BIGNUM *Xp,
572 const BIGNUM *e, BN_CTX *ctx,
573 BN_GENCB *cb);
574
575BN_MONT_CTX *BN_MONT_CTX_new(void );
576void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
577int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
578 BN_MONT_CTX *mont, BN_CTX *ctx);
579#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
580 (r),(a),&((mont)->RR),(mont),(ctx))
581int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
582 BN_MONT_CTX *mont, BN_CTX *ctx);
583void BN_MONT_CTX_free(BN_MONT_CTX *mont);
584int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx);
585BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
586BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
587 const BIGNUM *mod, BN_CTX *ctx);
588
589/* BN_BLINDING flags */
590#define BN_BLINDING_NO_UPDATE 0x00000001
591#define BN_BLINDING_NO_RECREATE 0x00000002
592
593BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
594void BN_BLINDING_free(BN_BLINDING *b);
595int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
596int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
597int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
598int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
599int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
600#ifndef OPENSSL_NO_DEPRECATED
601unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
602void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
603#endif
604CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *);
605unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
606void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
607BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
608 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
609 int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
610 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
611 BN_MONT_CTX *m_ctx);
612
613#ifndef OPENSSL_NO_DEPRECATED
614void BN_set_params(int mul,int high,int low,int mont);
615int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
616#endif
617
618void BN_RECP_CTX_init(BN_RECP_CTX *recp);
619BN_RECP_CTX *BN_RECP_CTX_new(void);
620void BN_RECP_CTX_free(BN_RECP_CTX *recp);
621int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
622int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
623 BN_RECP_CTX *recp,BN_CTX *ctx);
624int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
625 const BIGNUM *m, BN_CTX *ctx);
626int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
627 BN_RECP_CTX *recp, BN_CTX *ctx);
628
629#ifndef OPENSSL_NO_EC2M
630
631/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
632 *
633 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
634 * ignored.
635 *
636 * Note that input arguments are not const so that their bit arrays can
637 * be expanded to the appropriate size if needed.
638 */
639
640int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
641#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
642int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
643int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
644 const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
645int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
646 BN_CTX *ctx); /* r = (a * a) mod p */
647int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
648 BN_CTX *ctx); /* r = (1 / b) mod p */
649int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
650 const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */
651int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
652 const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */
653int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
654 BN_CTX *ctx); /* r = sqrt(a) mod p */
655int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
656 BN_CTX *ctx); /* r^2 + r = a mod p */
657#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
658/* Some functions allow for representation of the irreducible polynomials
659 * as an unsigned int[], say p. The irreducible f(t) is then of the form:
660 * t^p[0] + t^p[1] + ... + t^p[k]
661 * where m = p[0] > p[1] > ... > p[k] = 0.
662 */
663int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
664 /* r = a mod p */
665int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
666 const int p[], BN_CTX *ctx); /* r = (a * b) mod p */
667int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
668 BN_CTX *ctx); /* r = (a * a) mod p */
669int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
670 BN_CTX *ctx); /* r = (1 / b) mod p */
671int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
672 const int p[], BN_CTX *ctx); /* r = (a / b) mod p */
673int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
674 const int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
675int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
676 const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
677int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
678 const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
679int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
680int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
681
682#endif
683
684/* faster mod functions for the 'NIST primes'
685 * 0 <= a < p^2 */
686int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
687int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
688int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
689int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
690int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
691
692const BIGNUM *BN_get0_nist_prime_192(void);
693const BIGNUM *BN_get0_nist_prime_224(void);
694const BIGNUM *BN_get0_nist_prime_256(void);
695const BIGNUM *BN_get0_nist_prime_384(void);
696const BIGNUM *BN_get0_nist_prime_521(void);
697
698/* library internal functions */
699
700#define bn_expand(a,bits) \
701 ( \
702 bits > (INT_MAX - BN_BITS2 + 1) ? \
703 NULL \
704 : \
705 (((bits+BN_BITS2-1)/BN_BITS2) <= (a)->dmax) ? \
706 (a) \
707 : \
708 bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2) \
709 )
710
711#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
712BIGNUM *bn_expand2(BIGNUM *a, int words);
713#ifndef OPENSSL_NO_DEPRECATED
714BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
715#endif
716
717/* Bignum consistency macros
718 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
719 * bignum data after direct manipulations on the data. There is also an
720 * "internal" macro, bn_check_top(), for verifying that there are no leading
721 * zeroes. Unfortunately, some auditing is required due to the fact that
722 * bn_fix_top() has become an overabused duct-tape because bignum data is
723 * occasionally passed around in an inconsistent state. So the following
724 * changes have been made to sort this out;
725 * - bn_fix_top()s implementation has been moved to bn_correct_top()
726 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
727 * bn_check_top() is as before.
728 * - if BN_DEBUG *is* defined;
729 * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
730 * consistent. (ed: only if BN_DEBUG_RAND is defined)
731 * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
732 * The idea is to have debug builds flag up inconsistent bignums when they
733 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
734 * the use of bn_fix_top() was appropriate (ie. it follows directly after code
735 * that manipulates the bignum) it is converted to bn_correct_top(), and if it
736 * was not appropriate, we convert it permanently to bn_check_top() and track
737 * down the cause of the bug. Eventually, no internal code should be using the
738 * bn_fix_top() macro. External applications and libraries should try this with
739 * their own code too, both in terms of building against the openssl headers
740 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
741 * defined. This not only improves external code, it provides more test
742 * coverage for openssl's own code.
743 */
744
745#ifdef BN_DEBUG
746
747/* We only need assert() when debugging */
748#include <assert.h>
749
750#ifdef BN_DEBUG_RAND
751/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
752#ifndef RAND_pseudo_bytes
753int RAND_pseudo_bytes(unsigned char *buf,int num);
754#define BN_DEBUG_TRIX
755#endif
756#define bn_pollute(a) \
757 do { \
758 const BIGNUM *_bnum1 = (a); \
759 if(_bnum1->top < _bnum1->dmax) { \
760 unsigned char _tmp_char; \
761 /* We cast away const without the compiler knowing, any \
762 * *genuinely* constant variables that aren't mutable \
763 * wouldn't be constructed with top!=dmax. */ \
764 BN_ULONG *_not_const; \
765 memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
766 RAND_pseudo_bytes(&_tmp_char, 1); \
767 memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
768 (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
769 } \
770 } while(0)
771#ifdef BN_DEBUG_TRIX
772#undef RAND_pseudo_bytes
773#endif
774#else
775#define bn_pollute(a)
776#endif
777#define bn_check_top(a) \
778 do { \
779 const BIGNUM *_bnum2 = (a); \
780 if (_bnum2 != NULL) { \
781 assert((_bnum2->top == 0) || \
782 (_bnum2->d[_bnum2->top - 1] != 0)); \
783 bn_pollute(_bnum2); \
784 } \
785 } while(0)
786
787#define bn_fix_top(a) bn_check_top(a)
788
789#define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
790#define bn_wcheck_size(bn, words) \
791 do { \
792 const BIGNUM *_bnum2 = (bn); \
793 assert(words <= (_bnum2)->dmax && words >= (_bnum2)->top); \
794 } while(0)
795
796#else /* !BN_DEBUG */
797
798#define bn_pollute(a)
799#define bn_check_top(a)
800#define bn_fix_top(a) bn_correct_top(a)
801#define bn_check_size(bn, bits)
802#define bn_wcheck_size(bn, words)
803
804#endif
805
806#define bn_correct_top(a) \
807 { \
808 BN_ULONG *ftl; \
809 int tmp_top = (a)->top; \
810 if (tmp_top > 0) \
811 { \
812 for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \
813 if (*(ftl--)) break; \
814 (a)->top = tmp_top; \
815 } \
816 bn_pollute(a); \
817 }
818
819BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
820BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
821void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
822BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
823BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
824BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
825
826/* Primes from RFC 2409 */
827BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
828BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
829
830/* Primes from RFC 3526 */
831BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
832BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
833BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
834BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
835BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
836BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
837
838int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
839
840/* BEGIN ERROR CODES */
841/* The following lines are auto generated by the script mkerr.pl. Any changes
842 * made after this point may be overwritten when the script is next run.
843 */
844void ERR_load_BN_strings(void);
845
846/* Error codes for the BN functions. */
847
848/* Function codes. */
849#define BN_F_BNRAND 127
850#define BN_F_BN_BLINDING_CONVERT_EX 100
851#define BN_F_BN_BLINDING_CREATE_PARAM 128
852#define BN_F_BN_BLINDING_INVERT_EX 101
853#define BN_F_BN_BLINDING_NEW 102
854#define BN_F_BN_BLINDING_UPDATE 103
855#define BN_F_BN_BN2DEC 104
856#define BN_F_BN_BN2HEX 105
857#define BN_F_BN_CTX_GET 116
858#define BN_F_BN_CTX_NEW 106
859#define BN_F_BN_CTX_START 129
860#define BN_F_BN_DIV 107
861#define BN_F_BN_DIV_NO_BRANCH 138
862#define BN_F_BN_DIV_RECP 130
863#define BN_F_BN_EXP 123
864#define BN_F_BN_EXPAND2 108
865#define BN_F_BN_EXPAND_INTERNAL 120
866#define BN_F_BN_GF2M_MOD 131
867#define BN_F_BN_GF2M_MOD_EXP 132
868#define BN_F_BN_GF2M_MOD_MUL 133
869#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
870#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
871#define BN_F_BN_GF2M_MOD_SQR 136
872#define BN_F_BN_GF2M_MOD_SQRT 137
873#define BN_F_BN_MOD_EXP2_MONT 118
874#define BN_F_BN_MOD_EXP_MONT 109
875#define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
876#define BN_F_BN_MOD_EXP_MONT_WORD 117
877#define BN_F_BN_MOD_EXP_RECP 125
878#define BN_F_BN_MOD_EXP_SIMPLE 126
879#define BN_F_BN_MOD_INVERSE 110
880#define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
881#define BN_F_BN_MOD_LSHIFT_QUICK 119
882#define BN_F_BN_MOD_MUL_RECIPROCAL 111
883#define BN_F_BN_MOD_SQRT 121
884#define BN_F_BN_MPI2BN 112
885#define BN_F_BN_NEW 113
886#define BN_F_BN_RAND 114
887#define BN_F_BN_RAND_RANGE 122
888#define BN_F_BN_USUB 115
889
890/* Reason codes. */
891#define BN_R_ARG2_LT_ARG3 100
892#define BN_R_BAD_RECIPROCAL 101
893#define BN_R_BIGNUM_TOO_LONG 114
894#define BN_R_CALLED_WITH_EVEN_MODULUS 102
895#define BN_R_DIV_BY_ZERO 103
896#define BN_R_ENCODING_ERROR 104
897#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
898#define BN_R_INPUT_NOT_REDUCED 110
899#define BN_R_INVALID_LENGTH 106
900#define BN_R_INVALID_RANGE 115
901#define BN_R_NOT_A_SQUARE 111
902#define BN_R_NOT_INITIALIZED 107
903#define BN_R_NO_INVERSE 108
904#define BN_R_NO_SOLUTION 116
905#define BN_R_P_IS_NOT_PRIME 112
906#define BN_R_TOO_MANY_ITERATIONS 113
907#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
908
909#ifdef __cplusplus
910}
911#endif
912#endif
913