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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 (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
135#ifdef __cplusplus
136extern "C" {
137#endif
138
139/* These preprocessor symbols control various aspects of the bignum headers and
140 * library code. They're not defined by any "normal" configuration, as they are
141 * intended for development and testing purposes. NB: defining all three can be
142 * useful for debugging application code as well as openssl itself.
143 *
144 * BN_DEBUG - turn on various debugging alterations to the bignum code
145 * BN_DEBUG_RAND - uses random poisoning of unused words to trip up
146 * mismanagement of bignum internals. You must also define BN_DEBUG.
147 */
148/* #define BN_DEBUG */
149/* #define BN_DEBUG_RAND */
150
151#ifndef OPENSSL_SMALL_FOOTPRINT
152#define BN_MUL_COMBA
153#define BN_SQR_COMBA
154#define BN_RECURSION
155#endif
156
157/* This next option uses the C libraries (2 word)/(1 word) function.
158 * If it is not defined, I use my C version (which is slower).
159 * The reason for this flag is that when the particular C compiler
160 * library routine is used, and the library is linked with a different
161 * compiler, the library is missing. This mostly happens when the
162 * library is built with gcc and then linked using normal cc. This would
163 * be a common occurrence because gcc normally produces code that is
164 * 2 times faster than system compilers for the big number stuff.
165 * For machines with only one compiler (or shared libraries), this should
166 * be on. Again this in only really a problem on machines
167 * using "long long's", are 32bit, and are not using my assembler code. */
168#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
169 defined(OPENSSL_SYS_WIN32) || defined(linux)
170# ifndef BN_DIV2W
171# define BN_DIV2W
172# endif
173#endif
174
175/* assuming long is 64bit - this is the DEC Alpha
176 * unsigned long long is only 64 bits :-(, don't define
177 * BN_LLONG for the DEC Alpha */
178#ifdef SIXTY_FOUR_BIT_LONG
179#define BN_ULLONG unsigned long long
180#define BN_ULONG unsigned long
181#define BN_LONG long
182#define BN_BITS 128
183#define BN_BYTES 8
184#define BN_BITS2 64
185#define BN_BITS4 32
186#define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
187#define BN_MASK2 (0xffffffffffffffffL)
188#define BN_MASK2l (0xffffffffL)
189#define BN_MASK2h (0xffffffff00000000L)
190#define BN_MASK2h1 (0xffffffff80000000L)
191#define BN_TBIT (0x8000000000000000L)
192#define BN_DEC_CONV (10000000000000000000UL)
193#define BN_DEC_FMT1 "%lu"
194#define BN_DEC_FMT2 "%019lu"
195#define BN_DEC_NUM 19
196#define BN_HEX_FMT1 "%lX"
197#define BN_HEX_FMT2 "%016lX"
198#endif
199
200/* This is where the long long data type is 64 bits, but long is 32.
201 * For machines where there are 64bit registers, this is the mode to use.
202 * IRIX, on R4000 and above should use this mode, along with the relevant
203 * assembler code :-). Do NOT define BN_LLONG.
204 */
205#ifdef SIXTY_FOUR_BIT
206#undef BN_LLONG
207#undef BN_ULLONG
208#define BN_ULONG unsigned long long
209#define BN_LONG long long
210#define BN_BITS 128
211#define BN_BYTES 8
212#define BN_BITS2 64
213#define BN_BITS4 32
214#define BN_MASK2 (0xffffffffffffffffLL)
215#define BN_MASK2l (0xffffffffL)
216#define BN_MASK2h (0xffffffff00000000LL)
217#define BN_MASK2h1 (0xffffffff80000000LL)
218#define BN_TBIT (0x8000000000000000LL)
219#define BN_DEC_CONV (10000000000000000000ULL)
220#define BN_DEC_FMT1 "%llu"
221#define BN_DEC_FMT2 "%019llu"
222#define BN_DEC_NUM 19
223#define BN_HEX_FMT1 "%llX"
224#define BN_HEX_FMT2 "%016llX"
225#endif
226
227#ifdef THIRTY_TWO_BIT
228#ifdef BN_LLONG
229# if defined(_WIN32) && !defined(__GNUC__)
230# define BN_ULLONG unsigned __int64
231# define BN_MASK (0xffffffffffffffffI64)
232# else
233# define BN_ULLONG unsigned long long
234# define BN_MASK (0xffffffffffffffffLL)
235# endif
236#endif
237#define BN_ULONG unsigned int
238#define BN_LONG int
239#define BN_BITS 64
240#define BN_BYTES 4
241#define BN_BITS2 32
242#define BN_BITS4 16
243#define BN_MASK2 (0xffffffffL)
244#define BN_MASK2l (0xffff)
245#define BN_MASK2h1 (0xffff8000L)
246#define BN_MASK2h (0xffff0000L)
247#define BN_TBIT (0x80000000L)
248#define BN_DEC_CONV (1000000000L)
249#define BN_DEC_FMT1 "%u"
250#define BN_DEC_FMT2 "%09u"
251#define BN_DEC_NUM 9
252#define BN_HEX_FMT1 "%X"
253#define BN_HEX_FMT2 "%08X"
254#endif
255
256/* 2011-02-22 SMS.
257 * In various places, a size_t variable or a type cast to size_t was
258 * used to perform integer-only operations on pointers. This failed on
259 * VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t is
260 * still only 32 bits. What's needed in these cases is an integer type
261 * with the same size as a pointer, which size_t is not certain to be.
262 * The only fix here is VMS-specific.
263 */
264#if defined(OPENSSL_SYS_VMS)
265# if __INITIAL_POINTER_SIZE == 64
266# define PTR_SIZE_INT long long
267# else /* __INITIAL_POINTER_SIZE == 64 */
268# define PTR_SIZE_INT int
269# endif /* __INITIAL_POINTER_SIZE == 64 [else] */
270#else /* defined(OPENSSL_SYS_VMS) */
271# define PTR_SIZE_INT size_t
272#endif /* defined(OPENSSL_SYS_VMS) [else] */
273
274#define BN_DEFAULT_BITS 1280
275
276#define BN_FLG_MALLOCED 0x01
277#define BN_FLG_STATIC_DATA 0x02
278#define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing,
279 * BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
280 * BN_div() will call BN_div_no_branch,
281 * BN_mod_inverse() will call BN_mod_inverse_no_branch.
282 */
283
284#ifndef OPENSSL_NO_DEPRECATED
285#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */
286 /* avoid leaking exponent information through timings
287 * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
288#endif
289
290#ifndef OPENSSL_NO_DEPRECATED
291#define BN_FLG_FREE 0x8000 /* used for debuging */
292#endif
293#define BN_set_flags(b,n) ((b)->flags|=(n))
294#define BN_get_flags(b,n) ((b)->flags&(n))
295
296/* get a clone of a BIGNUM with changed flags, for *temporary* use only
297 * (the two BIGNUMs cannot not be used in parallel!) */
298#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
299 (dest)->top=(b)->top, \
300 (dest)->dmax=(b)->dmax, \
301 (dest)->neg=(b)->neg, \
302 (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
303 | ((b)->flags & ~BN_FLG_MALLOCED) \
304 | BN_FLG_STATIC_DATA \
305 | (n)))
306
307/* Already declared in ossl_typ.h */
308#if 0
309typedef struct bignum_st BIGNUM;
310/* Used for temp variables (declaration hidden in bn_lcl.h) */
311typedef struct bignum_ctx BN_CTX;
312typedef struct bn_blinding_st BN_BLINDING;
313typedef struct bn_mont_ctx_st BN_MONT_CTX;
314typedef struct bn_recp_ctx_st BN_RECP_CTX;
315typedef struct bn_gencb_st BN_GENCB;
316#endif
317
318struct bignum_st
319 {
320 BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
321 int top; /* Index of last used d +1. */
322 /* The next are internal book keeping for bn_expand. */
323 int dmax; /* Size of the d array. */
324 int neg; /* one if the number is negative */
325 int flags;
326 };
327
328/* Used for montgomery multiplication */
329struct bn_mont_ctx_st
330 {
331 int ri; /* number of bits in R */
332 BIGNUM RR; /* used to convert to montgomery form */
333 BIGNUM N; /* The modulus */
334 BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
335 * (Ni is only stored for bignum algorithm) */
336 BN_ULONG n0[2];/* least significant word(s) of Ni;
337 (type changed with 0.9.9, was "BN_ULONG n0;" before) */
338 int flags;
339 };
340
341/* Used for reciprocal division/mod functions
342 * It cannot be shared between threads
343 */
344struct bn_recp_ctx_st
345 {
346 BIGNUM N; /* the divisor */
347 BIGNUM Nr; /* the reciprocal */
348 int num_bits;
349 int shift;
350 int flags;
351 };
352
353/* Used for slow "generation" functions. */
354struct bn_gencb_st
355 {
356 unsigned int ver; /* To handle binary (in)compatibility */
357 void *arg; /* callback-specific data */
358 union
359 {
360 /* if(ver==1) - handles old style callbacks */
361 void (*cb_1)(int, int, void *);
362 /* if(ver==2) - new callback style */
363 int (*cb_2)(int, int, BN_GENCB *);
364 } cb;
365 };
366/* Wrapper function to make using BN_GENCB easier, */
367int BN_GENCB_call(BN_GENCB *cb, int a, int b);
368/* Macro to populate a BN_GENCB structure with an "old"-style callback */
369#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
370 BN_GENCB *tmp_gencb = (gencb); \
371 tmp_gencb->ver = 1; \
372 tmp_gencb->arg = (cb_arg); \
373 tmp_gencb->cb.cb_1 = (callback); }
374/* Macro to populate a BN_GENCB structure with a "new"-style callback */
375#define BN_GENCB_set(gencb, callback, cb_arg) { \
376 BN_GENCB *tmp_gencb = (gencb); \
377 tmp_gencb->ver = 2; \
378 tmp_gencb->arg = (cb_arg); \
379 tmp_gencb->cb.cb_2 = (callback); }
380
381#define BN_prime_checks 0 /* default: select number of iterations
382 based on the size of the number */
383
384/* number of Miller-Rabin iterations for an error rate of less than 2^-80
385 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
386 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
387 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
388 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
389#define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
390 (b) >= 850 ? 3 : \
391 (b) >= 650 ? 4 : \
392 (b) >= 550 ? 5 : \
393 (b) >= 450 ? 6 : \
394 (b) >= 400 ? 7 : \
395 (b) >= 350 ? 8 : \
396 (b) >= 300 ? 9 : \
397 (b) >= 250 ? 12 : \
398 (b) >= 200 ? 15 : \
399 (b) >= 150 ? 18 : \
400 /* b >= 100 */ 27)
401
402#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
403
404/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
405#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
406 (((w) == 0) && ((a)->top == 0)))
407#define BN_is_zero(a) ((a)->top == 0)
408#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
409#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
410#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
411
412#define BN_one(a) (BN_set_word((a),1))
413#define BN_zero_ex(a) \
414 do { \
415 BIGNUM *_tmp_bn = (a); \
416 _tmp_bn->top = 0; \
417 _tmp_bn->neg = 0; \
418 } while(0)
419#ifdef OPENSSL_NO_DEPRECATED
420#define BN_zero(a) BN_zero_ex(a)
421#else
422#define BN_zero(a) (BN_set_word((a),0))
423#endif
424
425const BIGNUM *BN_value_one(void);
426char * BN_options(void);
427BN_CTX *BN_CTX_new(void);
428#ifndef OPENSSL_NO_DEPRECATED
429void BN_CTX_init(BN_CTX *c);
430#endif
431void BN_CTX_free(BN_CTX *c);
432void BN_CTX_start(BN_CTX *ctx);
433BIGNUM *BN_CTX_get(BN_CTX *ctx);
434void BN_CTX_end(BN_CTX *ctx);
435int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
436int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
437int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
438int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
439int BN_num_bits(const BIGNUM *a);
440int BN_num_bits_word(BN_ULONG);
441BIGNUM *BN_new(void);
442void BN_init(BIGNUM *);
443void BN_clear_free(BIGNUM *a);
444BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
445void BN_swap(BIGNUM *a, BIGNUM *b);
446BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
447int BN_bn2bin(const BIGNUM *a, unsigned char *to);
448BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
449int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
450int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
451int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
452int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
453int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
454int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
455int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
456/** BN_set_negative sets sign of a BIGNUM
457 * \param b pointer to the BIGNUM object
458 * \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
459 */
460void BN_set_negative(BIGNUM *b, int n);
461/** BN_is_negative returns 1 if the BIGNUM is negative
462 * \param a pointer to the BIGNUM object
463 * \return 1 if a < 0 and 0 otherwise
464 */
465#define BN_is_negative(a) ((a)->neg != 0)
466
467int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
468 BN_CTX *ctx);
469#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
470int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
471int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
472int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
473int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
474int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
475int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
476 const BIGNUM *m, BN_CTX *ctx);
477int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
478int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
479int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
480int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
481int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
482
483BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
484BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
485int BN_mul_word(BIGNUM *a, BN_ULONG w);
486int BN_add_word(BIGNUM *a, BN_ULONG w);
487int BN_sub_word(BIGNUM *a, BN_ULONG w);
488int BN_set_word(BIGNUM *a, BN_ULONG w);
489BN_ULONG BN_get_word(const BIGNUM *a);
490
491int BN_cmp(const BIGNUM *a, const BIGNUM *b);
492void BN_free(BIGNUM *a);
493int BN_is_bit_set(const BIGNUM *a, int n);
494int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
495int BN_lshift1(BIGNUM *r, const BIGNUM *a);
496int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
497
498int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
499 const BIGNUM *m,BN_CTX *ctx);
500int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
501 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
502int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
503 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
504int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
505 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
506int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
507 const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
508 BN_CTX *ctx,BN_MONT_CTX *m_ctx);
509int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
510 const BIGNUM *m,BN_CTX *ctx);
511
512int BN_mask_bits(BIGNUM *a,int n);
513#ifndef OPENSSL_NO_FP_API
514int BN_print_fp(FILE *fp, const BIGNUM *a);
515#endif
516#ifdef HEADER_BIO_H
517int BN_print(BIO *fp, const BIGNUM *a);
518#else
519int BN_print(void *fp, const BIGNUM *a);
520#endif
521int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
522int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
523int BN_rshift1(BIGNUM *r, const BIGNUM *a);
524void BN_clear(BIGNUM *a);
525BIGNUM *BN_dup(const BIGNUM *a);
526int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
527int BN_set_bit(BIGNUM *a, int n);
528int BN_clear_bit(BIGNUM *a, int n);
529char * BN_bn2hex(const BIGNUM *a);
530char * BN_bn2dec(const BIGNUM *a);
531int BN_hex2bn(BIGNUM **a, const char *str);
532int BN_dec2bn(BIGNUM **a, const char *str);
533int BN_asc2bn(BIGNUM **a, const char *str);
534int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
535int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
536BIGNUM *BN_mod_inverse(BIGNUM *ret,
537 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
538BIGNUM *BN_mod_sqrt(BIGNUM *ret,
539 const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
540
541/* Deprecated versions */
542#ifndef OPENSSL_NO_DEPRECATED
543BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
544 const BIGNUM *add, const BIGNUM *rem,
545 void (*callback)(int,int,void *),void *cb_arg);
546int BN_is_prime(const BIGNUM *p,int nchecks,
547 void (*callback)(int,int,void *),
548 BN_CTX *ctx,void *cb_arg);
549int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
550 void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
551 int do_trial_division);
552#endif /* !defined(OPENSSL_NO_DEPRECATED) */
553
554/* Newer versions */
555int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
556 const BIGNUM *rem, BN_GENCB *cb);
557int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
558int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
559 int do_trial_division, BN_GENCB *cb);
560
561BN_MONT_CTX *BN_MONT_CTX_new(void );
562void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
563int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
564 BN_MONT_CTX *mont, BN_CTX *ctx);
565#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
566 (r),(a),&((mont)->RR),(mont),(ctx))
567int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
568 BN_MONT_CTX *mont, BN_CTX *ctx);
569void BN_MONT_CTX_free(BN_MONT_CTX *mont);
570int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx);
571BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
572BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
573 const BIGNUM *mod, BN_CTX *ctx);
574
575/* BN_BLINDING flags */
576#define BN_BLINDING_NO_UPDATE 0x00000001
577#define BN_BLINDING_NO_RECREATE 0x00000002
578
579BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
580void BN_BLINDING_free(BN_BLINDING *b);
581int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
582int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
583int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
584int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
585int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
586#ifndef OPENSSL_NO_DEPRECATED
587unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
588void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
589#endif
590CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *);
591unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
592void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
593BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
594 const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
595 int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
596 const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
597 BN_MONT_CTX *m_ctx);
598
599#ifndef OPENSSL_NO_DEPRECATED
600void BN_set_params(int mul,int high,int low,int mont);
601int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
602#endif
603
604void BN_RECP_CTX_init(BN_RECP_CTX *recp);
605BN_RECP_CTX *BN_RECP_CTX_new(void);
606void BN_RECP_CTX_free(BN_RECP_CTX *recp);
607int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
608int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
609 BN_RECP_CTX *recp,BN_CTX *ctx);
610int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
611 const BIGNUM *m, BN_CTX *ctx);
612int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
613 BN_RECP_CTX *recp, BN_CTX *ctx);
614
615/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
616 *
617 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
618 * ignored.
619 *
620 * Note that input arguments are not const so that their bit arrays can
621 * be expanded to the appropriate size if needed.
622 */
623
624int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
625#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
626int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
627int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
628 const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
629int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
630 BN_CTX *ctx); /* r = (a * a) mod p */
631int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
632 BN_CTX *ctx); /* r = (1 / b) mod p */
633int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
634 const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */
635int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
636 const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */
637int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
638 BN_CTX *ctx); /* r = sqrt(a) mod p */
639int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
640 BN_CTX *ctx); /* r^2 + r = a mod p */
641#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
642/* Some functions allow for representation of the irreducible polynomials
643 * as an unsigned int[], say p. The irreducible f(t) is then of the form:
644 * t^p[0] + t^p[1] + ... + t^p[k]
645 * where m = p[0] > p[1] > ... > p[k] = 0.
646 */
647int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
648 /* r = a mod p */
649int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
650 const int p[], BN_CTX *ctx); /* r = (a * b) mod p */
651int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
652 BN_CTX *ctx); /* r = (a * a) mod p */
653int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
654 BN_CTX *ctx); /* r = (1 / b) mod p */
655int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
656 const int p[], BN_CTX *ctx); /* r = (a / b) mod p */
657int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
658 const int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
659int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
660 const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
661int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
662 const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
663int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
664int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
665
666/* faster mod functions for the 'NIST primes'
667 * 0 <= a < p^2 */
668int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
669int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
670int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
671int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
672int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
673
674const BIGNUM *BN_get0_nist_prime_192(void);
675const BIGNUM *BN_get0_nist_prime_224(void);
676const BIGNUM *BN_get0_nist_prime_256(void);
677const BIGNUM *BN_get0_nist_prime_384(void);
678const BIGNUM *BN_get0_nist_prime_521(void);
679
680/* library internal functions */
681
682#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
683 (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
684#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
685BIGNUM *bn_expand2(BIGNUM *a, int words);
686#ifndef OPENSSL_NO_DEPRECATED
687BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
688#endif
689
690/* Bignum consistency macros
691 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
692 * bignum data after direct manipulations on the data. There is also an
693 * "internal" macro, bn_check_top(), for verifying that there are no leading
694 * zeroes. Unfortunately, some auditing is required due to the fact that
695 * bn_fix_top() has become an overabused duct-tape because bignum data is
696 * occasionally passed around in an inconsistent state. So the following
697 * changes have been made to sort this out;
698 * - bn_fix_top()s implementation has been moved to bn_correct_top()
699 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
700 * bn_check_top() is as before.
701 * - if BN_DEBUG *is* defined;
702 * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
703 * consistent. (ed: only if BN_DEBUG_RAND is defined)
704 * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
705 * The idea is to have debug builds flag up inconsistent bignums when they
706 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
707 * the use of bn_fix_top() was appropriate (ie. it follows directly after code
708 * that manipulates the bignum) it is converted to bn_correct_top(), and if it
709 * was not appropriate, we convert it permanently to bn_check_top() and track
710 * down the cause of the bug. Eventually, no internal code should be using the
711 * bn_fix_top() macro. External applications and libraries should try this with
712 * their own code too, both in terms of building against the openssl headers
713 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
714 * defined. This not only improves external code, it provides more test
715 * coverage for openssl's own code.
716 */
717
718#ifdef BN_DEBUG
719
720/* We only need assert() when debugging */
721#include <assert.h>
722
723#ifdef BN_DEBUG_RAND
724/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
725#ifndef RAND_pseudo_bytes
726int RAND_pseudo_bytes(unsigned char *buf,int num);
727#define BN_DEBUG_TRIX
728#endif
729#define bn_pollute(a) \
730 do { \
731 const BIGNUM *_bnum1 = (a); \
732 if(_bnum1->top < _bnum1->dmax) { \
733 unsigned char _tmp_char; \
734 /* We cast away const without the compiler knowing, any \
735 * *genuinely* constant variables that aren't mutable \
736 * wouldn't be constructed with top!=dmax. */ \
737 BN_ULONG *_not_const; \
738 memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
739 RAND_pseudo_bytes(&_tmp_char, 1); \
740 memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
741 (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
742 } \
743 } while(0)
744#ifdef BN_DEBUG_TRIX
745#undef RAND_pseudo_bytes
746#endif
747#else
748#define bn_pollute(a)
749#endif
750#define bn_check_top(a) \
751 do { \
752 const BIGNUM *_bnum2 = (a); \
753 if (_bnum2 != NULL) { \
754 assert((_bnum2->top == 0) || \
755 (_bnum2->d[_bnum2->top - 1] != 0)); \
756 bn_pollute(_bnum2); \
757 } \
758 } while(0)
759
760#define bn_fix_top(a) bn_check_top(a)
761
762#else /* !BN_DEBUG */
763
764#define bn_pollute(a)
765#define bn_check_top(a)
766#define bn_fix_top(a) bn_correct_top(a)
767
768#endif
769
770#define bn_correct_top(a) \
771 { \
772 BN_ULONG *ftl; \
773 int tmp_top = (a)->top; \
774 if (tmp_top > 0) \
775 { \
776 for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \
777 if (*(ftl--)) break; \
778 (a)->top = tmp_top; \
779 } \
780 bn_pollute(a); \
781 }
782
783BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
784BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
785void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
786BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
787BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
788BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
789
790/* Primes from RFC 2409 */
791BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
792BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
793
794/* Primes from RFC 3526 */
795BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
796BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
797BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
798BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
799BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
800BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
801
802int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
803
804/* BEGIN ERROR CODES */
805/* The following lines are auto generated by the script mkerr.pl. Any changes
806 * made after this point may be overwritten when the script is next run.
807 */
808void ERR_load_BN_strings(void);
809
810/* Error codes for the BN functions. */
811
812/* Function codes. */
813#define BN_F_BNRAND 127
814#define BN_F_BN_BLINDING_CONVERT_EX 100
815#define BN_F_BN_BLINDING_CREATE_PARAM 128
816#define BN_F_BN_BLINDING_INVERT_EX 101
817#define BN_F_BN_BLINDING_NEW 102
818#define BN_F_BN_BLINDING_UPDATE 103
819#define BN_F_BN_BN2DEC 104
820#define BN_F_BN_BN2HEX 105
821#define BN_F_BN_CTX_GET 116
822#define BN_F_BN_CTX_NEW 106
823#define BN_F_BN_CTX_START 129
824#define BN_F_BN_DIV 107
825#define BN_F_BN_DIV_NO_BRANCH 138
826#define BN_F_BN_DIV_RECP 130
827#define BN_F_BN_EXP 123
828#define BN_F_BN_EXPAND2 108
829#define BN_F_BN_EXPAND_INTERNAL 120
830#define BN_F_BN_GF2M_MOD 131
831#define BN_F_BN_GF2M_MOD_EXP 132
832#define BN_F_BN_GF2M_MOD_MUL 133
833#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
834#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
835#define BN_F_BN_GF2M_MOD_SQR 136
836#define BN_F_BN_GF2M_MOD_SQRT 137
837#define BN_F_BN_MOD_EXP2_MONT 118
838#define BN_F_BN_MOD_EXP_MONT 109
839#define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
840#define BN_F_BN_MOD_EXP_MONT_WORD 117
841#define BN_F_BN_MOD_EXP_RECP 125
842#define BN_F_BN_MOD_EXP_SIMPLE 126
843#define BN_F_BN_MOD_INVERSE 110
844#define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
845#define BN_F_BN_MOD_LSHIFT_QUICK 119
846#define BN_F_BN_MOD_MUL_RECIPROCAL 111
847#define BN_F_BN_MOD_SQRT 121
848#define BN_F_BN_MPI2BN 112
849#define BN_F_BN_NEW 113
850#define BN_F_BN_RAND 114
851#define BN_F_BN_RAND_RANGE 122
852#define BN_F_BN_USUB 115
853
854/* Reason codes. */
855#define BN_R_ARG2_LT_ARG3 100
856#define BN_R_BAD_RECIPROCAL 101
857#define BN_R_BIGNUM_TOO_LONG 114
858#define BN_R_CALLED_WITH_EVEN_MODULUS 102
859#define BN_R_DIV_BY_ZERO 103
860#define BN_R_ENCODING_ERROR 104
861#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
862#define BN_R_INPUT_NOT_REDUCED 110
863#define BN_R_INVALID_LENGTH 106
864#define BN_R_INVALID_RANGE 115
865#define BN_R_NOT_A_SQUARE 111
866#define BN_R_NOT_INITIALIZED 107
867#define BN_R_NO_INVERSE 108
868#define BN_R_NO_SOLUTION 116
869#define BN_R_P_IS_NOT_PRIME 112
870#define BN_R_TOO_MANY_ITERATIONS 113
871#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
872
873#ifdef __cplusplus
874}
875#endif
876#endif
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-11-23 22:34:13 +0000