diff options
author | George Hazan <george.hazan@gmail.com> | 2016-03-18 16:07:19 +0000 |
---|---|---|
committer | George Hazan <george.hazan@gmail.com> | 2016-03-18 16:07:19 +0000 |
commit | 15bda431d2429557708859a9e2d73731471ebee0 (patch) | |
tree | f0ed2ef3ae77f1b1407b6ee25042e63e79f47f29 /include/openssl/bn.h | |
parent | 31332e84bd8d1242de9fdb3d902240d670cf5d68 (diff) |
openssl headers update
git-svn-id: http://svn.miranda-ng.org/main/trunk@16500 1316c22d-e87f-b044-9b9b-93d7a3e3ba9c
Diffstat (limited to 'include/openssl/bn.h')
-rw-r--r-- | include/openssl/bn.h | 1841 |
1 files changed, 939 insertions, 902 deletions
diff --git a/include/openssl/bn.h b/include/openssl/bn.h index 14ad109e5e..5696965e9a 100644 --- a/include/openssl/bn.h +++ b/include/openssl/bn.h @@ -1,902 +1,939 @@ -/* 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_FP_API
-#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
-
-/* 2011-02-22 SMS.
- * In various places, a size_t variable or a type cast to size_t was
- * used to perform integer-only operations on pointers. This failed on
- * VMS with 64-bit pointers (CC /POINTER_SIZE = 64) because size_t is
- * still only 32 bits. What's needed in these cases is an integer type
- * with the same size as a pointer, which size_t is not certain to be.
- * The only fix here is VMS-specific.
- */
-#if defined(OPENSSL_SYS_VMS)
-# if __INITIAL_POINTER_SIZE == 64
-# define PTR_SIZE_INT long long
-# else /* __INITIAL_POINTER_SIZE == 64 */
-# define PTR_SIZE_INT int
-# endif /* __INITIAL_POINTER_SIZE == 64 [else] */
-#else /* defined(OPENSSL_SYS_VMS) */
-# define PTR_SIZE_INT size_t
-#endif /* defined(OPENSSL_SYS_VMS) [else] */
-
-#define BN_DEFAULT_BITS 1280
-
-#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.
- */
-
-#ifndef OPENSSL_NO_DEPRECATED
-#define BN_FLG_EXP_CONSTTIME BN_FLG_CONSTTIME /* deprecated name for the flag */
- /* avoid leaking exponent information through timings
- * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
-#endif
-
-#ifndef OPENSSL_NO_DEPRECATED
-#define BN_FLG_FREE 0x8000 /* used for debuging */
-#endif
-#define BN_set_flags(b,n) ((b)->flags|=(n))
-#define BN_get_flags(b,n) ((b)->flags&(n))
-
-/* get a clone of a BIGNUM with changed flags, for *temporary* use only
- * (the two BIGNUMs cannot not be used in parallel!) */
-#define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \
- (dest)->top=(b)->top, \
- (dest)->dmax=(b)->dmax, \
- (dest)->neg=(b)->neg, \
- (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
- | ((b)->flags & ~BN_FLG_MALLOCED) \
- | BN_FLG_STATIC_DATA \
- | (n)))
-
-/* Already declared in ossl_typ.h */
-#if 0
-typedef struct bignum_st BIGNUM;
-/* Used for temp variables (declaration hidden in bn_lcl.h) */
-typedef struct bignum_ctx BN_CTX;
-typedef struct bn_blinding_st BN_BLINDING;
-typedef struct bn_mont_ctx_st BN_MONT_CTX;
-typedef struct bn_recp_ctx_st BN_RECP_CTX;
-typedef struct bn_gencb_st BN_GENCB;
-#endif
-
-struct bignum_st
- {
- BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
- int top; /* Index of last used d +1. */
- /* The next are internal book keeping for bn_expand. */
- int dmax; /* Size of the d array. */
- int neg; /* one if the number is negative */
- int flags;
- };
-
-/* Used for montgomery multiplication */
-struct bn_mont_ctx_st
- {
- int ri; /* number of bits in R */
- BIGNUM RR; /* used to convert to montgomery form */
- BIGNUM N; /* The modulus */
- BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
- * (Ni is only stored for bignum algorithm) */
- BN_ULONG n0[2];/* least significant word(s) of Ni;
- (type changed with 0.9.9, was "BN_ULONG n0;" before) */
- int flags;
- };
-
-/* Used for reciprocal division/mod functions
- * It cannot be shared between threads
- */
-struct bn_recp_ctx_st
- {
- BIGNUM N; /* the divisor */
- BIGNUM Nr; /* the reciprocal */
- int num_bits;
- int shift;
- int flags;
- };
-
-/* Used for slow "generation" functions. */
-struct bn_gencb_st
- {
- unsigned int ver; /* To handle binary (in)compatibility */
- void *arg; /* callback-specific data */
- union
- {
- /* if(ver==1) - handles old style callbacks */
- void (*cb_1)(int, int, void *);
- /* if(ver==2) - new callback style */
- int (*cb_2)(int, int, BN_GENCB *);
- } cb;
- };
-/* Wrapper function to make using BN_GENCB easier, */
-int BN_GENCB_call(BN_GENCB *cb, int a, int b);
-/* Macro to populate a BN_GENCB structure with an "old"-style callback */
-#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
- BN_GENCB *tmp_gencb = (gencb); \
- tmp_gencb->ver = 1; \
- tmp_gencb->arg = (cb_arg); \
- tmp_gencb->cb.cb_1 = (callback); }
-/* Macro to populate a BN_GENCB structure with a "new"-style callback */
-#define BN_GENCB_set(gencb, callback, cb_arg) { \
- BN_GENCB *tmp_gencb = (gencb); \
- tmp_gencb->ver = 2; \
- tmp_gencb->arg = (cb_arg); \
- tmp_gencb->cb.cb_2 = (callback); }
-
-#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)
-
-/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
-#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
- (((w) == 0) && ((a)->top == 0)))
-#define BN_is_zero(a) ((a)->top == 0)
-#define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg)
-#define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
-#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
-
-#define BN_one(a) (BN_set_word((a),1))
-#define BN_zero_ex(a) \
- do { \
- BIGNUM *_tmp_bn = (a); \
- _tmp_bn->top = 0; \
- _tmp_bn->neg = 0; \
- } while(0)
-#ifdef OPENSSL_NO_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);
-#ifndef OPENSSL_NO_DEPRECATED
-void BN_CTX_init(BN_CTX *c);
-#endif
-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_init(BIGNUM *);
-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
- */
-#define BN_is_negative(a) ((a)->neg != 0)
-
-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_FP_API
-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 */
-#ifndef OPENSSL_NO_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);
-int BN_is_prime(const BIGNUM *p,int nchecks,
- void (*callback)(int,int,void *),
- BN_CTX *ctx,void *cb_arg);
-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_NO_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 );
-void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
-int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
- BN_MONT_CTX *mont, BN_CTX *ctx);
-#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
- (r),(a),&((mont)->RR),(mont),(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 *);
-#ifndef OPENSSL_NO_DEPRECATED
-unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
-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);
-
-#ifndef OPENSSL_NO_DEPRECATED
-void BN_set_params(int mul,int high,int low,int mont);
-int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
-#endif
-
-void BN_RECP_CTX_init(BN_RECP_CTX *recp);
-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.
- */
-
-int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
-#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
-int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
-int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
-int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
- BN_CTX *ctx); /* r = (a * a) mod p */
-int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
- BN_CTX *ctx); /* r = (1 / 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 = (a ^ b) mod p */
-int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
- BN_CTX *ctx); /* r = sqrt(a) mod p */
-int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
- BN_CTX *ctx); /* r^2 + r = a mod p */
-#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.
- */
-int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const int p[]);
- /* r = a mod p */
-int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
- const int p[], BN_CTX *ctx); /* r = (a * b) mod p */
-int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const int p[],
- BN_CTX *ctx); /* r = (a * a) mod p */
-int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const int p[],
- BN_CTX *ctx); /* r = (1 / 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 = (a ^ b) mod p */
-int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
- const int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
-int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
- const int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
-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);
-
-/* library internal functions */
-
-#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
- (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
-#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
-BIGNUM *bn_expand2(BIGNUM *a, int words);
-#ifndef OPENSSL_NO_DEPRECATED
-BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
-#endif
-
-/* Bignum consistency macros
- * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
- * bignum data after direct manipulations on the data. There is also an
- * "internal" macro, bn_check_top(), for verifying that there are no leading
- * zeroes. Unfortunately, some auditing is required due to the fact that
- * bn_fix_top() has become an overabused duct-tape because bignum data is
- * occasionally passed around in an inconsistent state. So the following
- * changes have been made to sort this out;
- * - bn_fix_top()s implementation has been moved to bn_correct_top()
- * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
- * bn_check_top() is as before.
- * - if BN_DEBUG *is* defined;
- * - bn_check_top() tries to pollute unused words even if the bignum 'top' is
- * consistent. (ed: only if BN_DEBUG_RAND is defined)
- * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
- * The idea is to have debug builds flag up inconsistent bignums when they
- * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
- * the use of bn_fix_top() was appropriate (ie. it follows directly after code
- * that manipulates the bignum) it is converted to bn_correct_top(), and if it
- * was not appropriate, we convert it permanently to bn_check_top() and track
- * down the cause of the bug. Eventually, no internal code should be using the
- * bn_fix_top() macro. External applications and libraries should try this with
- * their own code too, both in terms of building against the openssl headers
- * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
- * defined. This not only improves external code, it provides more test
- * coverage for openssl's own code.
- */
-
-#ifdef BN_DEBUG
-
-/* We only need assert() when debugging */
-#include <assert.h>
-
-#ifdef BN_DEBUG_RAND
-/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
-#ifndef RAND_pseudo_bytes
-int RAND_pseudo_bytes(unsigned char *buf,int num);
-#define BN_DEBUG_TRIX
-#endif
-#define bn_pollute(a) \
- do { \
- const BIGNUM *_bnum1 = (a); \
- if(_bnum1->top < _bnum1->dmax) { \
- unsigned char _tmp_char; \
- /* We cast away const without the compiler knowing, any \
- * *genuinely* constant variables that aren't mutable \
- * wouldn't be constructed with top!=dmax. */ \
- BN_ULONG *_not_const; \
- memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
- RAND_pseudo_bytes(&_tmp_char, 1); \
- memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
- (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
- } \
- } while(0)
-#ifdef BN_DEBUG_TRIX
-#undef RAND_pseudo_bytes
-#endif
-#else
-#define bn_pollute(a)
-#endif
-#define bn_check_top(a) \
- do { \
- const BIGNUM *_bnum2 = (a); \
- if (_bnum2 != NULL) { \
- assert((_bnum2->top == 0) || \
- (_bnum2->d[_bnum2->top - 1] != 0)); \
- bn_pollute(_bnum2); \
- } \
- } while(0)
-
-#define bn_fix_top(a) bn_check_top(a)
-
-#define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2)
-#define bn_wcheck_size(bn, words) \
- do { \
- const BIGNUM *_bnum2 = (bn); \
- assert(words <= (_bnum2)->dmax && words >= (_bnum2)->top); \
- } while(0)
-
-#else /* !BN_DEBUG */
-
-#define bn_pollute(a)
-#define bn_check_top(a)
-#define bn_fix_top(a) bn_correct_top(a)
-#define bn_check_size(bn, bits)
-#define bn_wcheck_size(bn, words)
-
-#endif
-
-#define bn_correct_top(a) \
- { \
- BN_ULONG *ftl; \
- int tmp_top = (a)->top; \
- if (tmp_top > 0) \
- { \
- for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \
- if (*(ftl--)) break; \
- (a)->top = tmp_top; \
- } \
- bn_pollute(a); \
- }
-
-BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
-BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
-void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
-BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
-BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
-BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
-
-/* 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_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_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_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_P_IS_NOT_PRIME 112
-#define BN_R_TOO_MANY_ITERATIONS 113
-#define BN_R_TOO_MANY_TEMPORARY_VARIABLES 109
-
-#ifdef __cplusplus
-}
-#endif
-#endif
+/* 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_FP_API +# 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_NO_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 + +# ifndef OPENSSL_NO_DEPRECATED +# define BN_FLG_FREE 0x8000 + /* used for debuging */ +# endif +# define BN_set_flags(b,n) ((b)->flags|=(n)) +# define BN_get_flags(b,n) ((b)->flags&(n)) + +/* + * get a clone of a BIGNUM with changed flags, for *temporary* use only (the + * two BIGNUMs cannot not be used in parallel!) + */ +# define BN_with_flags(dest,b,n) ((dest)->d=(b)->d, \ + (dest)->top=(b)->top, \ + (dest)->dmax=(b)->dmax, \ + (dest)->neg=(b)->neg, \ + (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \ + | ((b)->flags & ~BN_FLG_MALLOCED) \ + | BN_FLG_STATIC_DATA \ + | (n))) + +/* Already declared in ossl_typ.h */ +# if 0 +typedef struct bignum_st BIGNUM; +/* Used for temp variables (declaration hidden in bn_lcl.h) */ +typedef struct bignum_ctx BN_CTX; +typedef struct bn_blinding_st BN_BLINDING; +typedef struct bn_mont_ctx_st BN_MONT_CTX; +typedef struct bn_recp_ctx_st BN_RECP_CTX; +typedef struct bn_gencb_st BN_GENCB; +# endif + +struct bignum_st { + BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit + * chunks. */ + int top; /* Index of last used d +1. */ + /* The next are internal book keeping for bn_expand. */ + int dmax; /* Size of the d array. */ + int neg; /* one if the number is negative */ + int flags; +}; + +/* Used for montgomery multiplication */ +struct bn_mont_ctx_st { + int ri; /* number of bits in R */ + BIGNUM RR; /* used to convert to montgomery form */ + BIGNUM N; /* The modulus */ + BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 (Ni is only + * stored for bignum algorithm) */ + BN_ULONG n0[2]; /* least significant word(s) of Ni; (type + * changed with 0.9.9, was "BN_ULONG n0;" + * before) */ + int flags; +}; + +/* + * Used for reciprocal division/mod functions It cannot be shared between + * threads + */ +struct bn_recp_ctx_st { + BIGNUM N; /* the divisor */ + BIGNUM Nr; /* the reciprocal */ + int num_bits; + int shift; + int flags; +}; + +/* Used for slow "generation" functions. */ +struct bn_gencb_st { + unsigned int ver; /* To handle binary (in)compatibility */ + void *arg; /* callback-specific data */ + union { + /* if(ver==1) - handles old style callbacks */ + void (*cb_1) (int, int, void *); + /* if(ver==2) - new callback style */ + int (*cb_2) (int, int, BN_GENCB *); + } cb; +}; +/* Wrapper function to make using BN_GENCB easier, */ +int BN_GENCB_call(BN_GENCB *cb, int a, int b); +/* Macro to populate a BN_GENCB structure with an "old"-style callback */ +# define BN_GENCB_set_old(gencb, callback, cb_arg) { \ + BN_GENCB *tmp_gencb = (gencb); \ + tmp_gencb->ver = 1; \ + tmp_gencb->arg = (cb_arg); \ + tmp_gencb->cb.cb_1 = (callback); } +/* Macro to populate a BN_GENCB structure with a "new"-style callback */ +# define BN_GENCB_set(gencb, callback, cb_arg) { \ + BN_GENCB *tmp_gencb = (gencb); \ + tmp_gencb->ver = 2; \ + tmp_gencb->arg = (cb_arg); \ + tmp_gencb->cb.cb_2 = (callback); } + +# 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) + +/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */ +# define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \ + (((w) == 0) && ((a)->top == 0))) +# define BN_is_zero(a) ((a)->top == 0) +# define BN_is_one(a) (BN_abs_is_word((a),1) && !(a)->neg) +# define BN_is_word(a,w) (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg)) +# define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1)) + +# define BN_one(a) (BN_set_word((a),1)) +# define BN_zero_ex(a) \ + do { \ + BIGNUM *_tmp_bn = (a); \ + _tmp_bn->top = 0; \ + _tmp_bn->neg = 0; \ + } while(0) +# ifdef OPENSSL_NO_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); +# ifndef OPENSSL_NO_DEPRECATED +void BN_CTX_init(BN_CTX *c); +# endif +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_init(BIGNUM *); +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 + */ +# define BN_is_negative(a) ((a)->neg != 0) + +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_FP_API +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 */ +# ifndef OPENSSL_NO_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); +int BN_is_prime(const BIGNUM *p, int nchecks, + void (*callback) (int, int, void *), + BN_CTX *ctx, void *cb_arg); +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_NO_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); +void BN_MONT_CTX_init(BN_MONT_CTX *ctx); +int BN_mod_mul_montgomery(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, + BN_MONT_CTX *mont, BN_CTX *ctx); +# define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\ + (r),(a),&((mont)->RR),(mont),(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 *); +# ifndef OPENSSL_NO_DEPRECATED +unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *); +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); + +# ifndef OPENSSL_NO_DEPRECATED +void BN_set_params(int mul, int high, int low, int mont); +int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */ +# endif + +void BN_RECP_CTX_init(BN_RECP_CTX *recp); +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); + +/* library internal functions */ + +# define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\ + (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2)) +# define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words))) +BIGNUM *bn_expand2(BIGNUM *a, int words); +# ifndef OPENSSL_NO_DEPRECATED +BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */ +# endif + +/*- + * Bignum consistency macros + * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from + * bignum data after direct manipulations on the data. There is also an + * "internal" macro, bn_check_top(), for verifying that there are no leading + * zeroes. Unfortunately, some auditing is required due to the fact that + * bn_fix_top() has become an overabused duct-tape because bignum data is + * occasionally passed around in an inconsistent state. So the following + * changes have been made to sort this out; + * - bn_fix_top()s implementation has been moved to bn_correct_top() + * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and + * bn_check_top() is as before. + * - if BN_DEBUG *is* defined; + * - bn_check_top() tries to pollute unused words even if the bignum 'top' is + * consistent. (ed: only if BN_DEBUG_RAND is defined) + * - bn_fix_top() maps to bn_check_top() rather than "fixing" anything. + * The idea is to have debug builds flag up inconsistent bignums when they + * occur. If that occurs in a bn_fix_top(), we examine the code in question; if + * the use of bn_fix_top() was appropriate (ie. it follows directly after code + * that manipulates the bignum) it is converted to bn_correct_top(), and if it + * was not appropriate, we convert it permanently to bn_check_top() and track + * down the cause of the bug. Eventually, no internal code should be using the + * bn_fix_top() macro. External applications and libraries should try this with + * their own code too, both in terms of building against the openssl headers + * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it + * defined. This not only improves external code, it provides more test + * coverage for openssl's own code. + */ + +# ifdef BN_DEBUG + +/* We only need assert() when debugging */ +# include <assert.h> + +# ifdef BN_DEBUG_RAND +/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */ +# ifndef RAND_pseudo_bytes +int RAND_pseudo_bytes(unsigned char *buf, int num); +# define BN_DEBUG_TRIX +# endif +# define bn_pollute(a) \ + do { \ + const BIGNUM *_bnum1 = (a); \ + if(_bnum1->top < _bnum1->dmax) { \ + unsigned char _tmp_char; \ + /* We cast away const without the compiler knowing, any \ + * *genuinely* constant variables that aren't mutable \ + * wouldn't be constructed with top!=dmax. */ \ + BN_ULONG *_not_const; \ + memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \ + /* Debug only - safe to ignore error return */ \ + RAND_pseudo_bytes(&_tmp_char, 1); \ + memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \ + (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \ + } \ + } while(0) +# ifdef BN_DEBUG_TRIX +# undef RAND_pseudo_bytes +# endif +# else +# define bn_pollute(a) +# endif +# define bn_check_top(a) \ + do { \ + const BIGNUM *_bnum2 = (a); \ + if (_bnum2 != NULL) { \ + assert((_bnum2->top == 0) || \ + (_bnum2->d[_bnum2->top - 1] != 0)); \ + bn_pollute(_bnum2); \ + } \ + } while(0) + +# define bn_fix_top(a) bn_check_top(a) + +# define bn_check_size(bn, bits) bn_wcheck_size(bn, ((bits+BN_BITS2-1))/BN_BITS2) +# define bn_wcheck_size(bn, words) \ + do { \ + const BIGNUM *_bnum2 = (bn); \ + assert((words) <= (_bnum2)->dmax && (words) >= (_bnum2)->top); \ + /* avoid unused variable warning with NDEBUG */ \ + (void)(_bnum2); \ + } while(0) + +# else /* !BN_DEBUG */ + +# define bn_pollute(a) +# define bn_check_top(a) +# define bn_fix_top(a) bn_correct_top(a) +# define bn_check_size(bn, bits) +# define bn_wcheck_size(bn, words) + +# endif + +# define bn_correct_top(a) \ + { \ + BN_ULONG *ftl; \ + int tmp_top = (a)->top; \ + if (tmp_top > 0) \ + { \ + for (ftl= &((a)->d[tmp_top-1]); tmp_top > 0; tmp_top--) \ + if (*(ftl--)) break; \ + (a)->top = tmp_top; \ + } \ + bn_pollute(a); \ + } + +BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, + BN_ULONG w); +BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w); +void bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num); +BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d); +BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, + int num); +BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp, + int num); + +/* 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_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_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_LSHIFT 145 +# 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_RSHIFT 146 +# 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_INVALID_SHIFT 119 +# 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 |