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/* $OpenBSD: bn.h,v 1.74 2023/07/28 10:07:30 tb Exp $ */
/* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
* All rights reserved.
*
* This package is an SSL implementation written
* by Eric Young (eay@cryptsoft.com).
* The implementation was written so as to conform with Netscapes SSL.
*
* This library is free for commercial and non-commercial use as long as
* the following conditions are aheared to. The following conditions
* apply to all code found in this distribution, be it the RC4, RSA,
* lhash, DES, etc., code; not just the SSL code. The SSL documentation
* included with this distribution is covered by the same copyright terms
* except that the holder is Tim Hudson (tjh@cryptsoft.com).
*
* Copyright remains Eric Young's, and as such any Copyright notices in
* the code are not to be removed.
* If this package is used in a product, Eric Young should be given attribution
* as the author of the parts of the library used.
* This can be in the form of a textual message at program startup or
* in documentation (online or textual) provided with the package.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* "This product includes cryptographic software written by
* Eric Young (eay@cryptsoft.com)"
* The word 'cryptographic' can be left out if the rouines from the library
* being used are not cryptographic related :-).
* 4. If you include any Windows specific code (or a derivative thereof) from
* the apps directory (application code) you must include an acknowledgement:
* "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
*
* THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*
* The licence and distribution terms for any publically available version or
* derivative of this code cannot be changed. i.e. this code cannot simply be
* copied and put under another distribution licence
* [including the GNU Public Licence.]
*/
/* ====================================================================
* Copyright (c) 1998-2006 The OpenSSL Project. All rights reserved.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
*
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
*
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in
* the documentation and/or other materials provided with the
* distribution.
*
* 3. All advertising materials mentioning features or use of this
* software must display the following acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
*
* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
* endorse or promote products derived from this software without
* prior written permission. For written permission, please contact
* openssl-core@openssl.org.
*
* 5. Products derived from this software may not be called "OpenSSL"
* nor may "OpenSSL" appear in their names without prior written
* permission of the OpenSSL Project.
*
* 6. Redistributions of any form whatsoever must retain the following
* acknowledgment:
* "This product includes software developed by the OpenSSL Project
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
*
* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
* OF THE POSSIBILITY OF SUCH DAMAGE.
* ====================================================================
*
* This product includes cryptographic software written by Eric Young
* (eay@cryptsoft.com). This product includes software written by Tim
* Hudson (tjh@cryptsoft.com).
*
*/
/* ====================================================================
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
*
* Portions of the attached software ("Contribution") are developed by
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
*
* The Contribution is licensed pursuant to the Eric Young open source
* license provided above.
*
* The binary polynomial arithmetic software is originally written by
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
*
*/
#ifndef HEADER_BN_H
#define HEADER_BN_H
#include <stdio.h>
#include <stdlib.h>
#include <openssl/opensslconf.h>
#include <openssl/ossl_typ.h>
#include <openssl/crypto.h>
#include <openssl/bio.h>
#ifdef __cplusplus
extern "C" {
#endif
/* This next option uses the C libraries (2 word)/(1 word) function.
* If it is not defined, I use my C version (which is slower).
* The reason for this flag is that when the particular C compiler
* library routine is used, and the library is linked with a different
* compiler, the library is missing. This mostly happens when the
* library is built with gcc and then linked using normal cc. This would
* be a common occurrence because gcc normally produces code that is
* 2 times faster than system compilers for the big number stuff.
* For machines with only one compiler (or shared libraries), this should
* be on. Again this in only really a problem on machines
* using "long long's", are 32bit, and are not using my assembler code. */
/* #define BN_DIV2W */
#ifdef _LP64
#undef BN_LLONG
#define BN_ULONG unsigned long
#define BN_LONG long
#define BN_BITS 128
#define BN_BYTES 8
#define BN_BITS2 64
#define BN_BITS4 32
#define BN_MASK2 (0xffffffffffffffffL)
#define BN_MASK2l (0xffffffffL)
#define BN_MASK2h (0xffffffff00000000L)
#define BN_MASK2h1 (0xffffffff80000000L)
#define BN_TBIT (0x8000000000000000L)
#define BN_DEC_CONV (10000000000000000000UL)
#define BN_DEC_FMT1 "%lu"
#define BN_DEC_FMT2 "%019lu"
#define BN_DEC_NUM 19
#define BN_HEX_FMT1 "%lX"
#define BN_HEX_FMT2 "%016lX"
#else
#define BN_ULLONG unsigned long long
#define BN_LLONG
#define BN_ULONG unsigned int
#define BN_LONG int
#define BN_BITS 64
#define BN_BYTES 4
#define BN_BITS2 32
#define BN_BITS4 16
#define BN_MASK (0xffffffffffffffffLL)
#define BN_MASK2 (0xffffffffL)
#define BN_MASK2l (0xffff)
#define BN_MASK2h1 (0xffff8000L)
#define BN_MASK2h (0xffff0000L)
#define BN_TBIT (0x80000000L)
#define BN_DEC_CONV (1000000000L)
#define BN_DEC_FMT1 "%u"
#define BN_DEC_FMT2 "%09u"
#define BN_DEC_NUM 9
#define BN_HEX_FMT1 "%X"
#define BN_HEX_FMT2 "%08X"
#endif
#define BN_FLG_MALLOCED 0x01
#define BN_FLG_STATIC_DATA 0x02
#define BN_FLG_CONSTTIME 0x04 /* avoid leaking exponent information through timing,
* BN_mod_exp_mont() will call BN_mod_exp_mont_consttime,
* BN_div() will call BN_div_no_branch,
* BN_mod_inverse() will call BN_mod_inverse_no_branch.
*/
void BN_set_flags(BIGNUM *b, int n);
int BN_get_flags(const BIGNUM *b, int n);
void BN_with_flags(BIGNUM *dest, const BIGNUM *src, int flags);
/* Values for |top| in BN_rand() */
#define BN_RAND_TOP_ANY -1
#define BN_RAND_TOP_ONE 0
#define BN_RAND_TOP_TWO 1
/* Values for |bottom| in BN_rand() */
#define BN_RAND_BOTTOM_ANY 0
#define BN_RAND_BOTTOM_ODD 1
BN_GENCB *BN_GENCB_new(void);
void BN_GENCB_free(BN_GENCB *cb);
/* Wrapper function to make using BN_GENCB easier, */
int BN_GENCB_call(BN_GENCB *cb, int a, int b);
/* Populate a BN_GENCB structure with an "old"-style callback */
void BN_GENCB_set_old(BN_GENCB *gencb, void (*callback)(int, int, void *),
void *cb_arg);
/* Populate a BN_GENCB structure with a "new"-style callback */
void BN_GENCB_set(BN_GENCB *gencb, int (*callback)(int, int, BN_GENCB *),
void *cb_arg);
void *BN_GENCB_get_arg(BN_GENCB *cb);
#define BN_prime_checks 0 /* default: select number of iterations
based on the size of the number */
/*
* BN_prime_checks_for_size() returns the number of Miller-Rabin
* iterations that will be done for checking that a random number
* is probably prime. The error rate for accepting a composite
* number as prime depends on the size of the prime |b|. The error
* rates used are for calculating an RSA key with 2 primes, and so
* the level is what you would expect for a key of double the size
* of the prime.
*
* This table is generated using the algorithm of FIPS PUB 186-4
* Digital Signature Standard (DSS), section F.1, page 117.
* (https://dx.doi.org/10.6028/NIST.FIPS.186-4)
*
* The following magma script was used to generate the output:
* securitybits:=125;
* k:=1024;
* for t:=1 to 65 do
* for M:=3 to Floor(2*Sqrt(k-1)-1) do
* S:=0;
* // Sum over m
* for m:=3 to M do
* s:=0;
* // Sum over j
* for j:=2 to m do
* s+:=(RealField(32)!2)^-(j+(k-1)/j);
* end for;
* S+:=2^(m-(m-1)*t)*s;
* end for;
* A:=2^(k-2-M*t);
* B:=8*(Pi(RealField(32))^2-6)/3*2^(k-2)*S;
* pkt:=2.00743*Log(2)*k*2^-k*(A+B);
* seclevel:=Floor(-Log(2,pkt));
* if seclevel ge securitybits then
* printf "k: %5o, security: %o bits (t: %o, M: %o)\n",k,seclevel,t,M;
* break;
* end if;
* end for;
* if seclevel ge securitybits then break; end if;
* end for;
*
* It can be run online at:
* http://magma.maths.usyd.edu.au/calc
*
* And will output:
* k: 1024, security: 129 bits (t: 6, M: 23)
*
* k is the number of bits of the prime, securitybits is the level
* we want to reach.
*
* prime length | RSA key size | # MR tests | security level
* -------------+--------------|------------+---------------
* (b) >= 6394 | >= 12788 | 3 | 256 bit
* (b) >= 3747 | >= 7494 | 3 | 192 bit
* (b) >= 1345 | >= 2690 | 4 | 128 bit
* (b) >= 1080 | >= 2160 | 5 | 128 bit
* (b) >= 852 | >= 1704 | 5 | 112 bit
* (b) >= 476 | >= 952 | 5 | 80 bit
* (b) >= 400 | >= 800 | 6 | 80 bit
* (b) >= 347 | >= 694 | 7 | 80 bit
* (b) >= 308 | >= 616 | 8 | 80 bit
* (b) >= 55 | >= 110 | 27 | 64 bit
* (b) >= 6 | >= 12 | 34 | 64 bit
*/
#define BN_prime_checks_for_size(b) ((b) >= 3747 ? 3 : \
(b) >= 1345 ? 4 : \
(b) >= 476 ? 5 : \
(b) >= 400 ? 6 : \
(b) >= 347 ? 7 : \
(b) >= 308 ? 8 : \
(b) >= 55 ? 27 : \
/* b >= 6 */ 34)
#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
int BN_abs_is_word(const BIGNUM *a, const BN_ULONG w);
int BN_is_zero(const BIGNUM *a);
int BN_is_one(const BIGNUM *a);
int BN_is_word(const BIGNUM *a, const BN_ULONG w);
int BN_is_odd(const BIGNUM *a);
void BN_zero(BIGNUM *a);
int BN_one(BIGNUM *a);
const BIGNUM *BN_value_one(void);
char * BN_options(void);
BN_CTX *BN_CTX_new(void);
void BN_CTX_free(BN_CTX *c);
void BN_CTX_start(BN_CTX *ctx);
BIGNUM *BN_CTX_get(BN_CTX *ctx);
void BN_CTX_end(BN_CTX *ctx);
int BN_rand(BIGNUM *rnd, int bits, int top, int bottom);
int BN_pseudo_rand(BIGNUM *rnd, int bits, int top, int bottom);
int BN_rand_range(BIGNUM *rnd, const BIGNUM *range);
int BN_pseudo_rand_range(BIGNUM *rnd, const BIGNUM *range);
int BN_num_bits(const BIGNUM *a);
int BN_num_bits_word(BN_ULONG);
BIGNUM *BN_new(void);
void BN_clear_free(BIGNUM *a);
BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
void BN_swap(BIGNUM *a, BIGNUM *b);
BIGNUM *BN_bin2bn(const unsigned char *s, int len, BIGNUM *ret);
int BN_bn2bin(const BIGNUM *a, unsigned char *to);
int BN_bn2binpad(const BIGNUM *a, unsigned char *to, int tolen);
BIGNUM *BN_lebin2bn(const unsigned char *s, int len, BIGNUM *ret);
int BN_bn2lebinpad(const BIGNUM *a, unsigned char *to, int tolen);
BIGNUM *BN_mpi2bn(const unsigned char *s, int len, BIGNUM *ret);
int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
int BN_sqr(BIGNUM *r, const BIGNUM *a, BN_CTX *ctx);
void BN_set_negative(BIGNUM *b, int n);
int BN_is_negative(const BIGNUM *b);
#ifndef LIBRESSL_INTERNAL
int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
BN_CTX *ctx);
#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
#endif
int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
const BIGNUM *m, BN_CTX *ctx);
int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
int BN_mul_word(BIGNUM *a, BN_ULONG w);
int BN_add_word(BIGNUM *a, BN_ULONG w);
int BN_sub_word(BIGNUM *a, BN_ULONG w);
int BN_set_word(BIGNUM *a, BN_ULONG w);
BN_ULONG BN_get_word(const BIGNUM *a);
int BN_cmp(const BIGNUM *a, const BIGNUM *b);
void BN_free(BIGNUM *a);
int BN_is_bit_set(const BIGNUM *a, int n);
int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
int BN_lshift1(BIGNUM *r, const BIGNUM *a);
int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
#ifndef LIBRESSL_INTERNAL
int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
const BIGNUM *m, BN_CTX *ctx);
int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
#endif
int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
const BIGNUM *a2, const BIGNUM *p2, const BIGNUM *m,
BN_CTX *ctx, BN_MONT_CTX *m_ctx);
int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
const BIGNUM *m, BN_CTX *ctx);
int BN_mask_bits(BIGNUM *a, int n);
int BN_print_fp(FILE *fp, const BIGNUM *a);
int BN_print(BIO *fp, const BIGNUM *a);
int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
int BN_rshift1(BIGNUM *r, const BIGNUM *a);
void BN_clear(BIGNUM *a);
BIGNUM *BN_dup(const BIGNUM *a);
int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
int BN_set_bit(BIGNUM *a, int n);
int BN_clear_bit(BIGNUM *a, int n);
char * BN_bn2hex(const BIGNUM *a);
char * BN_bn2dec(const BIGNUM *a);
int BN_hex2bn(BIGNUM **a, const char *str);
int BN_dec2bn(BIGNUM **a, const char *str);
int BN_asc2bn(BIGNUM **a, const char *str);
#ifndef LIBRESSL_INTERNAL
int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
#endif
int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
#ifndef LIBRESSL_INTERNAL
BIGNUM *BN_mod_inverse(BIGNUM *ret,
const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
#endif
BIGNUM *BN_mod_sqrt(BIGNUM *ret,
const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
void BN_consttime_swap(BN_ULONG swap, BIGNUM *a, BIGNUM *b, int nwords);
int BN_security_bits(int L, int N);
int BN_generate_prime_ex(BIGNUM *ret, int bits, int safe, const BIGNUM *add,
const BIGNUM *rem, BN_GENCB *cb);
int BN_is_prime_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx, BN_GENCB *cb);
int BN_is_prime_fasttest_ex(const BIGNUM *p, int nchecks, BN_CTX *ctx,
int do_trial_division, BN_GENCB *cb);
BN_MONT_CTX *BN_MONT_CTX_new(void );
int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
BN_MONT_CTX *mont, BN_CTX *ctx);
int BN_to_montgomery(BIGNUM *r, const BIGNUM *a, BN_MONT_CTX *mont,
BN_CTX *ctx);
int BN_from_montgomery(BIGNUM *r, const BIGNUM *a,
BN_MONT_CTX *mont, BN_CTX *ctx);
void BN_MONT_CTX_free(BN_MONT_CTX *mont);
int BN_MONT_CTX_set(BN_MONT_CTX *mont, const BIGNUM *mod, BN_CTX *ctx);
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to, BN_MONT_CTX *from);
BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
const BIGNUM *mod, BN_CTX *ctx);
/* Primes from RFC 2409 */
BIGNUM *BN_get_rfc2409_prime_768(BIGNUM *bn);
BIGNUM *BN_get_rfc2409_prime_1024(BIGNUM *bn);
/* Primes from RFC 3526 */
BIGNUM *BN_get_rfc3526_prime_1536(BIGNUM *bn);
BIGNUM *BN_get_rfc3526_prime_2048(BIGNUM *bn);
BIGNUM *BN_get_rfc3526_prime_3072(BIGNUM *bn);
BIGNUM *BN_get_rfc3526_prime_4096(BIGNUM *bn);
BIGNUM *BN_get_rfc3526_prime_6144(BIGNUM *bn);
BIGNUM *BN_get_rfc3526_prime_8192(BIGNUM *bn);
void ERR_load_BN_strings(void);
/* Error codes for the BN functions. */
/* Function codes. */
#define BN_F_BNRAND 127
#define BN_F_BN_BLINDING_CONVERT_EX 100
#define BN_F_BN_BLINDING_CREATE_PARAM 128
#define BN_F_BN_BLINDING_INVERT_EX 101
#define BN_F_BN_BLINDING_NEW 102
#define BN_F_BN_BLINDING_UPDATE 103
#define BN_F_BN_BN2DEC 104
#define BN_F_BN_BN2HEX 105
#define BN_F_BN_CTX_GET 116
#define BN_F_BN_CTX_NEW 106
#define BN_F_BN_CTX_START 129
#define BN_F_BN_DIV 107
#define BN_F_BN_DIV_NO_BRANCH 138
#define BN_F_BN_DIV_RECP 130
#define BN_F_BN_EXP 123
#define BN_F_BN_EXPAND2 108
#define BN_F_BN_GENERATE_PRIME_EX 140
#define BN_F_BN_EXPAND_INTERNAL 120
#define BN_F_BN_GF2M_MOD 131
#define BN_F_BN_GF2M_MOD_EXP 132
#define BN_F_BN_GF2M_MOD_MUL 133
#define BN_F_BN_GF2M_MOD_SOLVE_QUAD 134
#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR 135
#define BN_F_BN_GF2M_MOD_SQR 136
#define BN_F_BN_GF2M_MOD_SQRT 137
#define BN_F_BN_MOD_EXP2_MONT 118
#define BN_F_BN_MOD_EXP_MONT 109
#define BN_F_BN_MOD_EXP_MONT_CONSTTIME 124
#define BN_F_BN_MOD_EXP_MONT_WORD 117
#define BN_F_BN_MOD_EXP_RECP 125
#define BN_F_BN_MOD_EXP_SIMPLE 126
#define BN_F_BN_MOD_INVERSE 110
#define BN_F_BN_MOD_INVERSE_NO_BRANCH 139
#define BN_F_BN_MOD_LSHIFT_QUICK 119
#define BN_F_BN_MOD_MUL_RECIPROCAL 111
#define BN_F_BN_MOD_SQRT 121
#define BN_F_BN_MPI2BN 112
#define BN_F_BN_NEW 113
#define BN_F_BN_RAND 114
#define BN_F_BN_RAND_RANGE 122
#define BN_F_BN_USUB 115
/* Reason codes. */
#define BN_R_ARG2_LT_ARG3 100
#define BN_R_BAD_RECIPROCAL 101
#define BN_R_BIGNUM_TOO_LONG 114
#define BN_R_BITS_TOO_SMALL 117
#define BN_R_CALLED_WITH_EVEN_MODULUS 102
#define BN_R_DIV_BY_ZERO 103
#define BN_R_ENCODING_ERROR 104
#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA 105
#define BN_R_INPUT_NOT_REDUCED 110
#define BN_R_INVALID_ARGUMENT 118
#define BN_R_INVALID_LENGTH 106
#define BN_R_INVALID_RANGE 115
#define BN_R_NOT_A_SQUARE 111
#define BN_R_NOT_INITIALIZED 107
#define BN_R_NO_INVERSE 108
#define BN_R_NO_SOLUTION 116
#define BN_R_P_IS_NOT_PRIME 112
#define BN_R_TOO_MANY_ITERATIONS 113
#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
#ifdef __cplusplus
}
#endif
#endif
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