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