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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 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 *
61 * Portions of the attached software ("Contribution") are developed by
62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63 *
64 * The Contribution is licensed pursuant to the Eric Young open source
65 * license provided above.
66 *
67 * The binary polynomial arithmetic software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
71
72#ifndef HEADER_BN_H
73#define HEADER_BN_H
74
75#include <openssl/e_os2.h>
76#ifndef OPENSSL_NO_FP_API
77#include <stdio.h> /* FILE */
78#endif
79#include <openssl/ossl_typ.h>
80
81#ifdef __cplusplus
82extern "C" {
83#endif
84
85/* These preprocessor symbols control various aspects of the bignum headers and
86 * library code. They're not defined by any "normal" configuration, as they are
87 * intended for development and testing purposes. NB: defining all three can be
88 * useful for debugging application code as well as openssl itself.
89 *
90 * BN_DEBUG - turn on various debugging alterations to the bignum code
91 * BN_DEBUG_RAND - uses random poisoning of unused words to trip up
92 * mismanagement of bignum internals. You must also define BN_DEBUG.
93 */
94/* #define BN_DEBUG */
95/* #define BN_DEBUG_RAND */
96
97#define BN_MUL_COMBA
98#define BN_SQR_COMBA
99#define BN_RECURSION
100
101/* This next option uses the C libraries (2 word)/(1 word) function.
102 * If it is not defined, I use my C version (which is slower).
103 * The reason for this flag is that when the particular C compiler
104 * library routine is used, and the library is linked with a different
105 * compiler, the library is missing. This mostly happens when the
106 * library is built with gcc and then linked using normal cc. This would
107 * be a common occurrence because gcc normally produces code that is
108 * 2 times faster than system compilers for the big number stuff.
109 * For machines with only one compiler (or shared libraries), this should
110 * be on. Again this in only really a problem on machines
111 * using "long long's", are 32bit, and are not using my assembler code. */
112#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
113 defined(OPENSSL_SYS_WIN32) || defined(linux)
114# ifndef BN_DIV2W
115# define BN_DIV2W
116# endif
117#endif
118
119/* assuming long is 64bit - this is the DEC Alpha
120 * unsigned long long is only 64 bits :-(, don't define
121 * BN_LLONG for the DEC Alpha */
122#ifdef SIXTY_FOUR_BIT_LONG
123#define BN_ULLONG unsigned long long
124#define BN_ULONG unsigned long
125#define BN_LONG long
126#define BN_BITS 128
127#define BN_BYTES 8
128#define BN_BITS2 64
129#define BN_BITS4 32
130#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
131#define BN_MASK2 (0xffffffffffffffffL)
132#define BN_MASK2l (0xffffffffL)
133#define BN_MASK2h (0xffffffff00000000L)
134#define BN_MASK2h1 (0xffffffff80000000L)
135#define BN_TBIT (0x8000000000000000L)
136#define BN_DEC_CONV (10000000000000000000UL)
137#define BN_DEC_FMT1 "%lu"
138#define BN_DEC_FMT2 "%019lu"
139#define BN_DEC_NUM 19
140#endif
141
142/* This is where the long long data type is 64 bits, but long is 32.
143 * For machines where there are 64bit registers, this is the mode to use.
144 * IRIX, on R4000 and above should use this mode, along with the relevant
145 * assembler code :-). Do NOT define BN_LLONG.
146 */
147#ifdef SIXTY_FOUR_BIT
148#undef BN_LLONG
149#undef BN_ULLONG
150#define BN_ULONG unsigned long long
151#define BN_LONG long long
152#define BN_BITS 128
153#define BN_BYTES 8
154#define BN_BITS2 64
155#define BN_BITS4 32
156#define BN_MASK2 (0xffffffffffffffffLL)
157#define BN_MASK2l (0xffffffffL)
158#define BN_MASK2h (0xffffffff00000000LL)
159#define BN_MASK2h1 (0xffffffff80000000LL)
160#define BN_TBIT (0x8000000000000000LL)
161#define BN_DEC_CONV (10000000000000000000ULL)
162#define BN_DEC_FMT1 "%llu"
163#define BN_DEC_FMT2 "%019llu"
164#define BN_DEC_NUM 19
165#endif
166
167#ifdef THIRTY_TWO_BIT
168#ifdef BN_LLONG
169# if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
170# define BN_ULLONG unsigned __int64
171# else
172# define BN_ULLONG unsigned long long
173# endif
174#endif
175#define BN_ULONG unsigned long
176#define BN_LONG long
177#define BN_BITS 64
178#define BN_BYTES 4
179#define BN_BITS2 32
180#define BN_BITS4 16
181#ifdef OPENSSL_SYS_WIN32
182/* VC++ doesn't like the LL suffix */
183#define BN_MASK (0xffffffffffffffffL)
184#else
185#define BN_MASK (0xffffffffffffffffLL)
186#endif
187#define BN_MASK2 (0xffffffffL)
188#define BN_MASK2l (0xffff)
189#define BN_MASK2h1 (0xffff8000L)
190#define BN_MASK2h (0xffff0000L)
191#define BN_TBIT (0x80000000L)
192#define BN_DEC_CONV (1000000000L)
193#define BN_DEC_FMT1 "%lu"
194#define BN_DEC_FMT2 "%09lu"
195#define BN_DEC_NUM 9
196#endif
197
198#ifdef SIXTEEN_BIT
199#ifndef BN_DIV2W
200#define BN_DIV2W
201#endif
202#define BN_ULLONG unsigned long
203#define BN_ULONG unsigned short
204#define BN_LONG short
205#define BN_BITS 32
206#define BN_BYTES 2
207#define BN_BITS2 16
208#define BN_BITS4 8
209#define BN_MASK (0xffffffff)
210#define BN_MASK2 (0xffff)
211#define BN_MASK2l (0xff)
212#define BN_MASK2h1 (0xff80)
213#define BN_MASK2h (0xff00)
214#define BN_TBIT (0x8000)
215#define BN_DEC_CONV (100000)
216#define BN_DEC_FMT1 "%u"
217#define BN_DEC_FMT2 "%05u"
218#define BN_DEC_NUM 5
219#endif
220
221#ifdef EIGHT_BIT
222#ifndef BN_DIV2W
223#define BN_DIV2W
224#endif
225#define BN_ULLONG unsigned short
226#define BN_ULONG unsigned char
227#define BN_LONG char
228#define BN_BITS 16
229#define BN_BYTES 1
230#define BN_BITS2 8
231#define BN_BITS4 4
232#define BN_MASK (0xffff)
233#define BN_MASK2 (0xff)
234#define BN_MASK2l (0xf)
235#define BN_MASK2h1 (0xf8)
236#define BN_MASK2h (0xf0)
237#define BN_TBIT (0x80)
238#define BN_DEC_CONV (100)
239#define BN_DEC_FMT1 "%u"
240#define BN_DEC_FMT2 "%02u"
241#define BN_DEC_NUM 2
242#endif
243
244#define BN_DEFAULT_BITS 1280
245
246#define BN_FLG_MALLOCED 0x01
247#define BN_FLG_STATIC_DATA 0x02
248#define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing,
249 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
250 * BN_div() will call BN_div_no_branch,
251 * BN_mod_inverse() will call BN_mod_inverse_no_branch.
252 */
253
254#ifndef OPENSSL_NO_DEPRECATED
255#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */
256 /* avoid leaking exponent information through timings
257 * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
258#endif
259
260#ifndef OPENSSL_NO_DEPRECATED
261#define BN_FLG_FREE 0x8000 /* used for debuging */
262#endif
263#define BN_set_flags(b,n) ((b)->flags|=(n))
264#define BN_get_flags(b,n) ((b)->flags&(n))
265
266/* get a clone of a BIGNUM with changed flags, for *temporary* use only
267 * (the two BIGNUMs cannot not be used in parallel!) */
268#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
269 (dest)->top=(b)->top, \
270 (dest)->dmax=(b)->dmax, \
271 (dest)->neg=(b)->neg, \
272 (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
273 | ((b)->flags & ~BN_FLG_MALLOCED) \
274 | BN_FLG_STATIC_DATA \
275 | (n)))
276
277/* Already declared in ossl_typ.h */
278#if 0
279typedef struct bignum_st BIGNUM;
280/* Used for temp variables (declaration hidden in bn_lcl.h) */
281typedef struct bignum_ctx BN_CTX;
282typedef struct bn_blinding_st BN_BLINDING;
283typedef struct bn_mont_ctx_st BN_MONT_CTX;
284typedef struct bn_recp_ctx_st BN_RECP_CTX;
285typedef struct bn_gencb_st BN_GENCB;
286#endif
287
288struct bignum_st
289 {
290 BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
291 int top; /* Index of last used d +1. */
292 /* The next are internal book keeping for bn_expand. */
293 int dmax; /* Size of the d array. */
294 int neg; /* one if the number is negative */
295 int flags;
296 };
297
298/* Used for montgomery multiplication */
299struct bn_mont_ctx_st
300 {
301 int ri; /* number of bits in R */
302 BIGNUM RR; /* used to convert to montgomery form */
303 BIGNUM N; /* The modulus */
304 BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
305 * (Ni is only stored for bignum algorithm) */
306#if 0
307 /* OpenSSL 0.9.9 preview: */
308 BN_ULONG n0[2];/* least significant word(s) of Ni */
309#else
310 BN_ULONG n0; /* least significant word of Ni */
311#endif
312 int flags;
313 };
314
315/* Used for reciprocal division/mod functions
316 * It cannot be shared between threads
317 */
318struct bn_recp_ctx_st
319 {
320 BIGNUM N; /* the divisor */
321 BIGNUM Nr; /* the reciprocal */
322 int num_bits;
323 int shift;
324 int flags;
325 };
326
327/* Used for slow "generation" functions. */
328struct bn_gencb_st
329 {
330 unsigned int ver; /* To handle binary (in)compatibility */
331 void *arg; /* callback-specific data */
332 union
333 {
334 /* if(ver==1) - handles old style callbacks */
335 void (*cb_1)(int, int, void *);
336 /* if(ver==2) - new callback style */
337 int (*cb_2)(int, int, BN_GENCB *);
338 } cb;
339 };
340/* Wrapper function to make using BN_GENCB easier, */
341int BN_GENCB_call(BN_GENCB *cb, int a, int b);
342/* Macro to populate a BN_GENCB structure with an "old"-style callback */
343#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
344 BN_GENCB *tmp_gencb = (gencb); \
345 tmp_gencb->ver = 1; \
346 tmp_gencb->arg = (cb_arg); \
347 tmp_gencb->cb.cb_1 = (callback); }
348/* Macro to populate a BN_GENCB structure with a "new"-style callback */
349#define BN_GENCB_set(gencb, callback, cb_arg) { \
350 BN_GENCB *tmp_gencb = (gencb); \
351 tmp_gencb->ver = 2; \
352 tmp_gencb->arg = (cb_arg); \
353 tmp_gencb->cb.cb_2 = (callback); }
354
355#define BN_prime_checks 0 /* default: select number of iterations
356 based on the size of the number */
357
358/* number of Miller-Rabin iterations for an error rate of less than 2^-80
359 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
360 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
361 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
362 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
363#define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
364 (b) >= 850 ? 3 : \
365 (b) >= 650 ? 4 : \
366 (b) >= 550 ? 5 : \
367 (b) >= 450 ? 6 : \
368 (b) >= 400 ? 7 : \
369 (b) >= 350 ? 8 : \
370 (b) >= 300 ? 9 : \
371 (b) >= 250 ? 12 : \
372 (b) >= 200 ? 15 : \
373 (b) >= 150 ? 18 : \
374 /* b >= 100 */ 27)
375
376#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
377
378/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
379#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
380 (((w) == 0) && ((a)->top == 0)))
381#define BN_is_zero(a) ((a)->top == 0)
382#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
383#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
384#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
385
386#define BN_one(a) (BN_set_word((a),1))
387#define BN_zero_ex(a) \
388 do { \
389 BIGNUM *_tmp_bn = (a); \
390 _tmp_bn->top = 0; \
391 _tmp_bn->neg = 0; \
392 } while(0)
393#ifdef OPENSSL_NO_DEPRECATED
394#define BN_zero(a) BN_zero_ex(a)
395#else
396#define BN_zero(a) (BN_set_word((a),0))
397#endif
398
399const BIGNUM *BN_value_one(void);
400char * BN_options(void);
401BN_CTX *BN_CTX_new(void);
402#ifndef OPENSSL_NO_DEPRECATED
403void BN_CTX_init(BN_CTX *c);
404#endif
405void BN_CTX_free(BN_CTX *c);
406void BN_CTX_start(BN_CTX *ctx);
407BIGNUM *BN_CTX_get(BN_CTX *ctx);
408void BN_CTX_end(BN_CTX *ctx);
409int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
410int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
411int BN_rand_range(BIGNUM *rnd, BIGNUM *range);
412int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);
413int BN_num_bits(const BIGNUM *a);
414int BN_num_bits_word(BN_ULONG);
415BIGNUM *BN_new(void);
416void BN_init(BIGNUM *);
417void BN_clear_free(BIGNUM *a);
418BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
419void BN_swap(BIGNUM *a, BIGNUM *b);
420BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
421int BN_bn2bin(const BIGNUM *a, unsigned char *to);
422BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
423int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
424int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
425int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
426int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
427int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
428int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
429int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
430/** BN_set_negative sets sign of a BIGNUM
431 * \param b pointer to the BIGNUM object
432 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
433 */
434void BN_set_negative(BIGNUM *b, int n);
435/** BN_is_negative returns 1 if the BIGNUM is negative
436 * \param a pointer to the BIGNUM object
437 * \return 1 if a < 0 and 0 otherwise
438 */
439#define BN_is_negative(a) ((a)->neg != 0)
440
441int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
442 BN_CTX *ctx);
443#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
444int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
445int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
446int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
447int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
448int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
449int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
450 const BIGNUM *m, BN_CTX *ctx);
451int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
452int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
453int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
454int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
455int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
456
457BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
458BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
459int BN_mul_word(BIGNUM *a, BN_ULONG w);
460int BN_add_word(BIGNUM *a, BN_ULONG w);
461int BN_sub_word(BIGNUM *a, BN_ULONG w);
462int BN_set_word(BIGNUM *a, BN_ULONG w);
463BN_ULONG BN_get_word(const BIGNUM *a);
464
465int BN_cmp(const BIGNUM *a, const BIGNUM *b);
466void BN_free(BIGNUM *a);
467int BN_is_bit_set(const BIGNUM *a, int n);
468int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
469int BN_lshift1(BIGNUM *r, const BIGNUM *a);
470int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
471
472int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
473 const BIGNUM *m,BN_CTX *ctx);
474int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
475 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
476int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
477 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
478int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
479 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
480int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
481 const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
482 BN_CTX *ctx,BN_MONT_CTX *m_ctx);
483int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
484 const BIGNUM *m,BN_CTX *ctx);
485
486int BN_mask_bits(BIGNUM *a,int n);
487#ifndef OPENSSL_NO_FP_API
488int BN_print_fp(FILE *fp, const BIGNUM *a);
489#endif
490#ifdef HEADER_BIO_H
491int BN_print(BIO *fp, const BIGNUM *a);
492#else
493int BN_print(void *fp, const BIGNUM *a);
494#endif
495int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
496int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
497int BN_rshift1(BIGNUM *r, const BIGNUM *a);
498void BN_clear(BIGNUM *a);
499BIGNUM *BN_dup(const BIGNUM *a);
500int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
501int BN_set_bit(BIGNUM *a, int n);
502int BN_clear_bit(BIGNUM *a, int n);
503char * BN_bn2hex(const BIGNUM *a);
504char * BN_bn2dec(const BIGNUM *a);
505int BN_hex2bn(BIGNUM **a, const char *str);
506int BN_dec2bn(BIGNUM **a, const char *str);
507int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
508int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
509BIGNUM *BN_mod_inverse(BIGNUM *ret,
510 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
511BIGNUM *BN_mod_sqrt(BIGNUM *ret,
512 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
513
514/* Deprecated versions */
515#ifndef OPENSSL_NO_DEPRECATED
516BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
517 const BIGNUM *add, const BIGNUM *rem,
518 void (*callback)(int,int,void *),void *cb_arg);
519int BN_is_prime(const BIGNUM *p,int nchecks,
520 void (*callback)(int,int,void *),
521 BN_CTX *ctx,void *cb_arg);
522int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
523 void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
524 int do_trial_division);
525#endif /* !defined(OPENSSL_NO_DEPRECATED) */
526
527/* Newer versions */
528int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
529 const BIGNUM *rem, BN_GENCB *cb);
530int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
531int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
532 int do_trial_division, BN_GENCB *cb);
533
534BN_MONT_CTX *BN_MONT_CTX_new(void );
535void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
536int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
537 BN_MONT_CTX *mont, BN_CTX *ctx);
538#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
539 (r),(a),&((mont)->RR),(mont),(ctx))
540int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
541 BN_MONT_CTX *mont, BN_CTX *ctx);
542void BN_MONT_CTX_free(BN_MONT_CTX *mont);
543int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx);
544BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
545BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
546 const BIGNUM *mod, BN_CTX *ctx);
547
548/* BN_BLINDING flags */
549#define BN_BLINDING_NO_UPDATE 0x00000001
550#define BN_BLINDING_NO_RECREATE 0x00000002
551
552BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, /* const */ BIGNUM *mod);
553void BN_BLINDING_free(BN_BLINDING *b);
554int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
555int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
556int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
557int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
558int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
559unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
560void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
561unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
562void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
563BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
564 const BIGNUM *e, /* const */ BIGNUM *m, BN_CTX *ctx,
565 int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
566 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
567 BN_MONT_CTX *m_ctx);
568
569#ifndef OPENSSL_NO_DEPRECATED
570void BN_set_params(int mul,int high,int low,int mont);
571int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
572#endif
573
574void BN_RECP_CTX_init(BN_RECP_CTX *recp);
575BN_RECP_CTX *BN_RECP_CTX_new(void);
576void BN_RECP_CTX_free(BN_RECP_CTX *recp);
577int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
578int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
579 BN_RECP_CTX *recp,BN_CTX *ctx);
580int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
581 const BIGNUM *m, BN_CTX *ctx);
582int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
583 BN_RECP_CTX *recp, BN_CTX *ctx);
584
585/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
586 *
587 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
588 * ignored.
589 *
590 * Note that input arguments are not const so that their bit arrays can
591 * be expanded to the appropriate size if needed.
592 */
593
594int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
595#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
596int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
597int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
598 const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
599int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
600 BN_CTX *ctx); /* r = (a * a) mod p */
601int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
602 BN_CTX *ctx); /* r = (1 / b) mod p */
603int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
604 const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */
605int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
606 const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */
607int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
608 BN_CTX *ctx); /* r = sqrt(a) mod p */
609int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
610 BN_CTX *ctx); /* r^2 + r = a mod p */
611#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
612/* Some functions allow for representation of the irreducible polynomials
613 * as an unsigned int[], say p. The irreducible f(t) is then of the form:
614 * t^p[0] + t^p[1] + ... + t^p[k]
615 * where m = p[0] > p[1] > ... > p[k] = 0.
616 */
617int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]);
618 /* r = a mod p */
619int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
620 const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */
621int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],
622 BN_CTX *ctx); /* r = (a * a) mod p */
623int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[],
624 BN_CTX *ctx); /* r = (1 / b) mod p */
625int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
626 const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */
627int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
628 const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
629int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
630 const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
631int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
632 const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
633int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max);
634int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a);
635
636/* faster mod functions for the 'NIST primes'
637 * 0 <= a < p^2 */
638int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
639int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
640int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
641int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
642int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
643
644const BIGNUM *BN_get0_nist_prime_192(void);
645const BIGNUM *BN_get0_nist_prime_224(void);
646const BIGNUM *BN_get0_nist_prime_256(void);
647const BIGNUM *BN_get0_nist_prime_384(void);
648const BIGNUM *BN_get0_nist_prime_521(void);
649
650/* library internal functions */
651
652#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
653 (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
654#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
655BIGNUM *bn_expand2(BIGNUM *a, int words);
656#ifndef OPENSSL_NO_DEPRECATED
657BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
658#endif
659
660/* Bignum consistency macros
661 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
662 * bignum data after direct manipulations on the data. There is also an
663 * "internal" macro, bn_check_top(), for verifying that there are no leading
664 * zeroes. Unfortunately, some auditing is required due to the fact that
665 * bn_fix_top() has become an overabused duct-tape because bignum data is
666 * occasionally passed around in an inconsistent state. So the following
667 * changes have been made to sort this out;
668 * - bn_fix_top()s implementation has been moved to bn_correct_top()
669 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
670 * bn_check_top() is as before.
671 * - if BN_DEBUG *is* defined;
672 * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
673 * consistent. (ed: only if BN_DEBUG_RAND is defined)
674 * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
675 * The idea is to have debug builds flag up inconsistent bignums when they
676 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
677 * the use of bn_fix_top() was appropriate (ie. it follows directly after code
678 * that manipulates the bignum) it is converted to bn_correct_top(), and if it
679 * was not appropriate, we convert it permanently to bn_check_top() and track
680 * down the cause of the bug. Eventually, no internal code should be using the
681 * bn_fix_top() macro. External applications and libraries should try this with
682 * their own code too, both in terms of building against the openssl headers
683 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
684 * defined. This not only improves external code, it provides more test
685 * coverage for openssl's own code.
686 */
687
688#ifdef BN_DEBUG
689
690/* We only need assert() when debugging */
691#include <assert.h>
692
693#ifdef BN_DEBUG_RAND
694/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
695#ifndef RAND_pseudo_bytes
696int RAND_pseudo_bytes(unsigned char *buf,int num);
697#define BN_DEBUG_TRIX
698#endif
699#define bn_pollute(a) \
700 do { \
701 const BIGNUM *_bnum1 = (a); \
702 if(_bnum1->top < _bnum1->dmax) { \
703 unsigned char _tmp_char; \
704 /* We cast away const without the compiler knowing, any \
705 * *genuinely* constant variables that aren't mutable \
706 * wouldn't be constructed with top!=dmax. */ \
707 BN_ULONG *_not_const; \
708 memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
709 RAND_pseudo_bytes(&_tmp_char, 1); \
710 memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
711 (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
712 } \
713 } while(0)
714#ifdef BN_DEBUG_TRIX
715#undef RAND_pseudo_bytes
716#endif
717#else
718#define bn_pollute(a)
719#endif
720#define bn_check_top(a) \
721 do { \
722 const BIGNUM *_bnum2 = (a); \
723 if (_bnum2 != NULL) { \
724 assert((_bnum2->top == 0) || \
725 (_bnum2->d[_bnum2->top - 1] != 0)); \
726 bn_pollute(_bnum2); \
727 } \
728 } while(0)
729
730#define bn_fix_top(a) bn_check_top(a)
731
732#else /* !BN_DEBUG */
733
734#define bn_pollute(a)
735#define bn_check_top(a)
736#define bn_fix_top(a) bn_correct_top(a)
737
738#endif
739
740#define bn_correct_top(a) \
741 { \
742 BN_ULONG *ftl; \
743 if ((a)->top > 0) \
744 { \
745 for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
746 if (*(ftl--)) break; \
747 } \
748 bn_pollute(a); \
749 }
750
751BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
752BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
753void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
754BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
755BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
756BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
757
758/* Primes from RFC 2409 */
759BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
760BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
761
762/* Primes from RFC 3526 */
763BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
764BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
765BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
766BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
767BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
768BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
769
770int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
771
772/* BEGIN ERROR CODES */
773/* The following lines are auto generated by the script mkerr.pl. Any changes
774 * made after this point may be overwritten when the script is next run.
775 */
776void ERR_load_BN_strings(void);
777
778/* Error codes for the BN functions. */
779
780/* Function codes. */
781#define BN_F_BNRAND 127
782#define BN_F_BN_BLINDING_CONVERT_EX 100
783#define BN_F_BN_BLINDING_CREATE_PARAM 128
784#define BN_F_BN_BLINDING_INVERT_EX 101
785#define BN_F_BN_BLINDING_NEW 102
786#define BN_F_BN_BLINDING_UPDATE 103
787#define BN_F_BN_BN2DEC 104
788#define BN_F_BN_BN2HEX 105
789#define BN_F_BN_CTX_GET 116
790#define BN_F_BN_CTX_NEW 106
791#define BN_F_BN_CTX_START 129
792#define BN_F_BN_DIV 107
793#define BN_F_BN_DIV_NO_BRANCH 138
794#define BN_F_BN_DIV_RECP 130
795#define BN_F_BN_EXP 123
796#define BN_F_BN_EXPAND2 108
797#define BN_F_BN_EXPAND_INTERNAL 120
798#define BN_F_BN_GF2M_MOD 131
799#define BN_F_BN_GF2M_MOD_EXP 132
800#define BN_F_BN_GF2M_MOD_MUL 133
801#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
802#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
803#define BN_F_BN_GF2M_MOD_SQR 136
804#define BN_F_BN_GF2M_MOD_SQRT 137
805#define BN_F_BN_MOD_EXP2_MONT 118
806#define BN_F_BN_MOD_EXP_MONT 109
807#define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
808#define BN_F_BN_MOD_EXP_MONT_WORD 117
809#define BN_F_BN_MOD_EXP_RECP 125
810#define BN_F_BN_MOD_EXP_SIMPLE 126
811#define BN_F_BN_MOD_INVERSE 110
812#define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
813#define BN_F_BN_MOD_LSHIFT_QUICK 119
814#define BN_F_BN_MOD_MUL_RECIPROCAL 111
815#define BN_F_BN_MOD_SQRT 121
816#define BN_F_BN_MPI2BN 112
817#define BN_F_BN_NEW 113
818#define BN_F_BN_RAND 114
819#define BN_F_BN_RAND_RANGE 122
820#define BN_F_BN_USUB 115
821
822/* Reason codes. */
823#define BN_R_ARG2_LT_ARG3 100
824#define BN_R_BAD_RECIPROCAL 101
825#define BN_R_BIGNUM_TOO_LONG 114
826#define BN_R_CALLED_WITH_EVEN_MODULUS 102
827#define BN_R_DIV_BY_ZERO 103
828#define BN_R_ENCODING_ERROR 104
829#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
830#define BN_R_INPUT_NOT_REDUCED 110
831#define BN_R_INVALID_LENGTH 106
832#define BN_R_INVALID_RANGE 115
833#define BN_R_NOT_A_SQUARE 111
834#define BN_R_NOT_INITIALIZED 107
835#define BN_R_NO_INVERSE 108
836#define BN_R_NO_SOLUTION 116
837#define BN_R_P_IS_NOT_PRIME 112
838#define BN_R_TOO_MANY_ITERATIONS 113
839#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
840
841#ifdef __cplusplus
842}
843#endif
844#endif
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-08-04 14:22:00 +0000