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-/* 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 <limits.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 > (INT_MAX - BN_BITS2 + 1) ? \
- NULL \
- : \
- (((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; \
- } \
- if ((a)->top == 0) \
- (a)->neg = 0; \
- 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