759 lines
33 KiB
C
759 lines
33 KiB
C
/* crypto/bn/bn.h */
|
|
/* 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 <openssl/e_os2.h>
|
|
# ifndef OPENSSL_NO_STDIO
|
|
# include <stdio.h> /* FILE */
|
|
# endif
|
|
# include <openssl/ossl_typ.h>
|
|
# include <openssl/crypto.h>
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
|
|
/*
|
|
* These preprocessor symbols control various aspects of the bignum headers
|
|
* and library code. They're not defined by any "normal" configuration, as
|
|
* they are intended for development and testing purposes. NB: defining all
|
|
* three can be useful for debugging application code as well as openssl
|
|
* itself. BN_DEBUG - turn on various debugging alterations to the bignum
|
|
* code BN_DEBUG_RAND - uses random poisoning of unused words to trip up
|
|
* mismanagement of bignum internals. You must also define BN_DEBUG.
|
|
*/
|
|
/* #define BN_DEBUG */
|
|
/* #define BN_DEBUG_RAND */
|
|
|
|
# ifndef OPENSSL_SMALL_FOOTPRINT
|
|
# define BN_MUL_COMBA
|
|
# define BN_SQR_COMBA
|
|
# define BN_RECURSION
|
|
# 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.
|
|
*/
|
|
# if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
|
|
defined(OPENSSL_SYS_WIN32) || defined(linux)
|
|
# ifndef BN_DIV2W
|
|
# define BN_DIV2W
|
|
# endif
|
|
# endif
|
|
|
|
/*
|
|
* assuming long is 64bit - this is the DEC Alpha unsigned long long is only
|
|
* 64 bits :-(, don't define BN_LLONG for the DEC Alpha
|
|
*/
|
|
# ifdef SIXTY_FOUR_BIT_LONG
|
|
# define BN_ULLONG unsigned long long
|
|
# 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_MASK (0xffffffffffffffffffffffffffffffffLL)
|
|
# 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"
|
|
# endif
|
|
|
|
/*
|
|
* This is where the long long data type is 64 bits, but long is 32. For
|
|
* machines where there are 64bit registers, this is the mode to use. IRIX,
|
|
* on R4000 and above should use this mode, along with the relevant assembler
|
|
* code :-). Do NOT define BN_LLONG.
|
|
*/
|
|
# ifdef SIXTY_FOUR_BIT
|
|
# undef BN_LLONG
|
|
# undef BN_ULLONG
|
|
# define BN_ULONG unsigned long long
|
|
# define BN_LONG long long
|
|
# define BN_BITS 128
|
|
# define BN_BYTES 8
|
|
# define BN_BITS2 64
|
|
# define BN_BITS4 32
|
|
# define BN_MASK2 (0xffffffffffffffffLL)
|
|
# define BN_MASK2l (0xffffffffL)
|
|
# define BN_MASK2h (0xffffffff00000000LL)
|
|
# define BN_MASK2h1 (0xffffffff80000000LL)
|
|
# define BN_TBIT (0x8000000000000000LL)
|
|
# define BN_DEC_CONV (10000000000000000000ULL)
|
|
# define BN_DEC_FMT1 "%llu"
|
|
# define BN_DEC_FMT2 "%019llu"
|
|
# define BN_DEC_NUM 19
|
|
# define BN_HEX_FMT1 "%llX"
|
|
# define BN_HEX_FMT2 "%016llX"
|
|
# endif
|
|
|
|
# ifdef THIRTY_TWO_BIT
|
|
# ifdef BN_LLONG
|
|
# if defined(_WIN32) && !defined(__GNUC__)
|
|
# define BN_ULLONG unsigned __int64
|
|
# define BN_MASK (0xffffffffffffffffI64)
|
|
# else
|
|
# define BN_ULLONG unsigned long long
|
|
# define BN_MASK (0xffffffffffffffffLL)
|
|
# endif
|
|
# endif
|
|
# 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_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_DEFAULT_BITS 1280
|
|
|
|
# define BN_FLG_MALLOCED 0x01
|
|
# define BN_FLG_STATIC_DATA 0x02
|
|
|
|
/*
|
|
* 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.
|
|
*/
|
|
# define BN_FLG_CONSTTIME 0x04
|
|
|
|
# ifdef OPENSSL_USE_DEPRECATED
|
|
/* deprecated name for the flag */
|
|
# define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME
|
|
/*
|
|
* avoid leaking exponent information through timings
|
|
* (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime)
|
|
*/
|
|
# endif
|
|
|
|
# ifdef OPENSSL_USE_DEPRECATED
|
|
# define BN_FLG_FREE 0x8000
|
|
/* used for debuging */
|
|
# endif
|
|
|
|
void BN_set_flags(BIGNUM *b, int n);
|
|
int BN_get_flags(const BIGNUM *b, int n);
|
|
|
|
/*
|
|
* get a clone of a BIGNUM with changed flags, for *temporary* use only (the
|
|
* two BIGNUMs cannot not be used in parallel!)
|
|
*/
|
|
void BN_with_flags(BIGNUM *dest, const BIGNUM *b, int n);
|
|
|
|
/* Wrapper function to make using BN_GENCB easier, */
|
|
int BN_GENCB_call(BN_GENCB *cb, int a, int b);
|
|
|
|
BN_GENCB *BN_GENCB_new(void);
|
|
void BN_GENCB_free(BN_GENCB *cb);
|
|
|
|
/* 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 */
|
|
|
|
/*
|
|
* number of Miller-Rabin iterations for an error rate of less than 2^-80 for
|
|
* random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook of
|
|
* Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
|
|
* original paper: Damgaard, Landrock, Pomerance: Average case error
|
|
* estimates for the strong probable prime test. -- Math. Comp. 61 (1993)
|
|
* 177-194)
|
|
*/
|
|
# define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
|
|
(b) >= 850 ? 3 : \
|
|
(b) >= 650 ? 4 : \
|
|
(b) >= 550 ? 5 : \
|
|
(b) >= 450 ? 6 : \
|
|
(b) >= 400 ? 7 : \
|
|
(b) >= 350 ? 8 : \
|
|
(b) >= 300 ? 9 : \
|
|
(b) >= 250 ? 12 : \
|
|
(b) >= 200 ? 15 : \
|
|
(b) >= 150 ? 18 : \
|
|
/* b >= 100 */ 27)
|
|
|
|
# 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);
|
|
|
|
# define BN_one(a) (BN_set_word((a),1))
|
|
|
|
void BN_zero_ex(BIGNUM *a);
|
|
|
|
# ifndef OPENSSL_USE_DEPRECATED
|
|
# define BN_zero(a) BN_zero_ex(a)
|
|
# else
|
|
# define BN_zero(a) (BN_set_word((a),0))
|
|
# endif
|
|
|
|
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 l);
|
|
int BN_security_bits(int L, int N);
|
|
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);
|
|
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);
|
|
/** BN_set_negative sets sign of a BIGNUM
|
|
* \param b pointer to the BIGNUM object
|
|
* \param n 0 if the BIGNUM b should be positive and a value != 0 otherwise
|
|
*/
|
|
void BN_set_negative(BIGNUM *b, int n);
|
|
/** BN_is_negative returns 1 if the BIGNUM is negative
|
|
* \param a pointer to the BIGNUM object
|
|
* \return 1 if a < 0 and 0 otherwise
|
|
*/
|
|
int BN_is_negative(const BIGNUM *b);
|
|
|
|
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))
|
|
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);
|
|
|
|
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);
|
|
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);
|
|
# ifndef OPENSSL_NO_STDIO
|
|
int BN_print_fp(FILE *fp, const BIGNUM *a);
|
|
# endif
|
|
# ifdef HEADER_BIO_H
|
|
int BN_print(BIO *fp, const BIGNUM *a);
|
|
# else
|
|
int BN_print(void *fp, const BIGNUM *a);
|
|
# endif
|
|
int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
|
|
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);
|
|
int BN_gcd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
|
|
int BN_kronecker(const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); /* returns
|
|
* -2 for
|
|
* error */
|
|
BIGNUM *BN_mod_inverse(BIGNUM *ret,
|
|
const BIGNUM *a, const BIGNUM *n, BN_CTX *ctx);
|
|
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);
|
|
|
|
/* Deprecated versions */
|
|
# ifdef OPENSSL_USE_DEPRECATED
|
|
DECLARE_DEPRECATED(BIGNUM *BN_generate_prime(BIGNUM *ret, int bits, int safe,
|
|
const BIGNUM *add,
|
|
const BIGNUM *rem,
|
|
void (*callback) (int, int,
|
|
void *),
|
|
void *cb_arg));
|
|
DECLARE_DEPRECATED(int
|
|
BN_is_prime(const BIGNUM *p, int nchecks,
|
|
void (*callback) (int, int, void *),
|
|
BN_CTX *ctx, void *cb_arg));
|
|
DECLARE_DEPRECATED(int
|
|
BN_is_prime_fasttest(const BIGNUM *p, int nchecks,
|
|
void (*callback) (int, int, void *),
|
|
BN_CTX *ctx, void *cb_arg,
|
|
int do_trial_division));
|
|
# endif /* defined(OPENSSL_USE_DEPRECATED) */
|
|
|
|
/* Newer versions */
|
|
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);
|
|
|
|
int BN_X931_generate_Xpq(BIGNUM *Xp, BIGNUM *Xq, int nbits, BN_CTX *ctx);
|
|
|
|
int BN_X931_derive_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2,
|
|
const BIGNUM *Xp, const BIGNUM *Xp1,
|
|
const BIGNUM *Xp2, const BIGNUM *e, BN_CTX *ctx,
|
|
BN_GENCB *cb);
|
|
int BN_X931_generate_prime_ex(BIGNUM *p, BIGNUM *p1, BIGNUM *p2, BIGNUM *Xp1,
|
|
BIGNUM *Xp2, const BIGNUM *Xp, const BIGNUM *e,
|
|
BN_CTX *ctx, 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);
|
|
|
|
/* BN_BLINDING flags */
|
|
# define BN_BLINDING_NO_UPDATE 0x00000001
|
|
# define BN_BLINDING_NO_RECREATE 0x00000002
|
|
|
|
BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
|
|
void BN_BLINDING_free(BN_BLINDING *b);
|
|
int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx);
|
|
int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
|
|
int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
|
|
int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
|
|
int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b,
|
|
BN_CTX *);
|
|
# ifdef OPENSSL_USE_DEPRECATED
|
|
DECLARE_DEPRECATED(unsigned long
|
|
BN_BLINDING_get_thread_id(const BN_BLINDING *));
|
|
DECLARE_DEPRECATED(void
|
|
BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long));
|
|
# endif
|
|
CRYPTO_THREADID *BN_BLINDING_thread_id(BN_BLINDING *);
|
|
unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
|
|
void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
|
|
BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
|
|
const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
|
|
int (*bn_mod_exp) (BIGNUM *r,
|
|
const BIGNUM *a,
|
|
const BIGNUM *p,
|
|
const BIGNUM *m,
|
|
BN_CTX *ctx,
|
|
BN_MONT_CTX *m_ctx),
|
|
BN_MONT_CTX *m_ctx);
|
|
|
|
# ifdef OPENSSL_USE_DEPRECATED
|
|
DECLARE_DEPRECATED(void BN_set_params(int mul, int high, int low, int mont));
|
|
DECLARE_DEPRECATED(int BN_get_params(int which)); /* 0, mul, 1 high, 2 low, 3
|
|
* mont */
|
|
# endif
|
|
|
|
BN_RECP_CTX *BN_RECP_CTX_new(void);
|
|
void BN_RECP_CTX_free(BN_RECP_CTX *recp);
|
|
int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *rdiv, BN_CTX *ctx);
|
|
int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
|
|
BN_RECP_CTX *recp, BN_CTX *ctx);
|
|
int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
|
|
const BIGNUM *m, BN_CTX *ctx);
|
|
int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
|
|
BN_RECP_CTX *recp, BN_CTX *ctx);
|
|
|
|
# ifndef OPENSSL_NO_EC2M
|
|
|
|
/*
|
|
* Functions for arithmetic over binary polynomials represented by BIGNUMs.
|
|
* The BIGNUM::neg property of BIGNUMs representing binary polynomials is
|
|
* ignored. Note that input arguments are not const so that their bit arrays
|
|
* can be expanded to the appropriate size if needed.
|
|
*/
|
|
|
|
/*
|
|
* r = a + b
|
|
*/
|
|
int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
|
|
# define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
|
|
/*
|
|
* r=a mod p
|
|
*/
|
|
int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p);
|
|
/* r = (a * b) mod p */
|
|
int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
|
const BIGNUM *p, BN_CTX *ctx);
|
|
/* r = (a * a) mod p */
|
|
int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
|
/* r = (1 / b) mod p */
|
|
int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p, BN_CTX *ctx);
|
|
/* r = (a / b) mod p */
|
|
int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
|
const BIGNUM *p, BN_CTX *ctx);
|
|
/* r = (a ^ b) mod p */
|
|
int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
|
const BIGNUM *p, BN_CTX *ctx);
|
|
/* r = sqrt(a) mod p */
|
|
int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
|
|
BN_CTX *ctx);
|
|
/* r^2 + r = a mod p */
|
|
int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
|
|
BN_CTX *ctx);
|
|
# define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
|
|
/*-
|
|
* Some functions allow for representation of the irreducible polynomials
|
|
* as an unsigned int[], say p. The irreducible f(t) is then of the form:
|
|
* t^p[0] + t^p[1] + ... + t^p[k]
|
|
* where m = p[0] > p[1] > ... > p[k] = 0.
|
|
*/
|
|
/* r = a mod p */
|
|
int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
|
|
/* r = (a * b) mod p */
|
|
int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
|
const int p[], BN_CTX *ctx);
|
|
/* r = (a * a) mod p */
|
|
int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
|
|
BN_CTX *ctx);
|
|
/* r = (1 / b) mod p */
|
|
int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
|
|
BN_CTX *ctx);
|
|
/* r = (a / b) mod p */
|
|
int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
|
const int p[], BN_CTX *ctx);
|
|
/* r = (a ^ b) mod p */
|
|
int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
|
|
const int p[], BN_CTX *ctx);
|
|
/* r = sqrt(a) mod p */
|
|
int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
|
|
const int p[], BN_CTX *ctx);
|
|
/* r^2 + r = a mod p */
|
|
int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
|
|
const int p[], BN_CTX *ctx);
|
|
int BN_GF2m_poly2arr(const BIGNUM *a, int p[], int max);
|
|
int BN_GF2m_arr2poly(const int p[], BIGNUM *a);
|
|
|
|
# endif
|
|
|
|
/*
|
|
* faster mod functions for the 'NIST primes' 0 <= a < p^2
|
|
*/
|
|
int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
|
int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
|
int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
|
int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
|
int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
|
|
|
|
const BIGNUM *BN_get0_nist_prime_192(void);
|
|
const BIGNUM *BN_get0_nist_prime_224(void);
|
|
const BIGNUM *BN_get0_nist_prime_256(void);
|
|
const BIGNUM *BN_get0_nist_prime_384(void);
|
|
const BIGNUM *BN_get0_nist_prime_521(void);
|
|
|
|
int (*BN_nist_mod_func(const BIGNUM *p)) (BIGNUM *r, const BIGNUM *a,
|
|
const BIGNUM *field, BN_CTX *ctx);
|
|
|
|
int BN_generate_dsa_nonce(BIGNUM *out, const BIGNUM *range,
|
|
const BIGNUM *priv, const unsigned char *message,
|
|
size_t message_len, BN_CTX *ctx);
|
|
|
|
/* Primes from RFC 2409 */
|
|
BIGNUM *get_rfc2409_prime_768(BIGNUM *bn);
|
|
BIGNUM *get_rfc2409_prime_1024(BIGNUM *bn);
|
|
|
|
/* Primes from RFC 3526 */
|
|
BIGNUM *get_rfc3526_prime_1536(BIGNUM *bn);
|
|
BIGNUM *get_rfc3526_prime_2048(BIGNUM *bn);
|
|
BIGNUM *get_rfc3526_prime_3072(BIGNUM *bn);
|
|
BIGNUM *get_rfc3526_prime_4096(BIGNUM *bn);
|
|
BIGNUM *get_rfc3526_prime_6144(BIGNUM *bn);
|
|
BIGNUM *get_rfc3526_prime_8192(BIGNUM *bn);
|
|
|
|
int BN_bntest_rand(BIGNUM *rnd, int bits, int top, int bottom);
|
|
|
|
/* BEGIN ERROR CODES */
|
|
/*
|
|
* The following lines are auto generated by the script mkerr.pl. Any changes
|
|
* made after this point may be overwritten when the script is next run.
|
|
*/
|
|
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_COMPUTE_WNAF 142
|
|
# 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_EXPAND_INTERNAL 120
|
|
# define BN_F_BN_GENCB_NEW 143
|
|
# define BN_F_BN_GENERATE_DSA_NONCE 140
|
|
# define BN_F_BN_GENERATE_PRIME_EX 141
|
|
# 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 118
|
|
# 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_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_PRIVATE_KEY_TOO_LARGE 117
|
|
# 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
|