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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.]
*/
#ifndef HEADER_BN_H
#define HEADER_BN_H
#ifndef NO_FP_API
#include <stdio.h> /* FILE */
#endif
#include <openssl/opensslconf.h>
#ifdef __cplusplus
extern "C" {
#endif
#ifdef VMS
#undef BN_LLONG /* experimental, so far... */
#endif
#define BN_MUL_COMBA
#define BN_SQR_COMBA
#define BN_RECURSION
#define RECP_MUL_MOD
#define MONT_MUL_MOD
/* 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(MSDOS) || defined(WINDOWS) || defined(WIN32) || defined(linux)
#define BN_DIV2W
#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
#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 (10000000000000000000LL)
#define BN_DEC_FMT1 "%llu"
#define BN_DEC_FMT2 "%019llu"
#define BN_DEC_NUM 19
#endif
#ifdef THIRTY_TWO_BIT
#if defined(WIN32) && !defined(__GNUC__)
#define BN_ULLONG unsigned _int64
#else
#define BN_ULLONG unsigned long long
#endif
#define BN_ULONG unsigned long
#define BN_LONG long
#define BN_BITS 64
#define BN_BYTES 4
#define BN_BITS2 32
#define BN_BITS4 16
#ifdef WIN32
/* VC++ doesn't like the LL suffix */
#define BN_MASK (0xffffffffffffffffL)
#else
#define BN_MASK (0xffffffffffffffffLL)
#endif
#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 "%lu"
#define BN_DEC_FMT2 "%09lu"
#define BN_DEC_NUM 9
#endif
#ifdef SIXTEEN_BIT
#ifndef BN_DIV2W
#define BN_DIV2W
#endif
#define BN_ULLONG unsigned long
#define BN_ULONG unsigned short
#define BN_LONG short
#define BN_BITS 32
#define BN_BYTES 2
#define BN_BITS2 16
#define BN_BITS4 8
#define BN_MASK (0xffffffff)
#define BN_MASK2 (0xffff)
#define BN_MASK2l (0xff)
#define BN_MASK2h1 (0xff80)
#define BN_MASK2h (0xff00)
#define BN_TBIT (0x8000)
#define BN_DEC_CONV (100000)
#define BN_DEC_FMT1 "%u"
#define BN_DEC_FMT2 "%05u"
#define BN_DEC_NUM 5
#endif
#ifdef EIGHT_BIT
#ifndef BN_DIV2W
#define BN_DIV2W
#endif
#define BN_ULLONG unsigned short
#define BN_ULONG unsigned char
#define BN_LONG char
#define BN_BITS 16
#define BN_BYTES 1
#define BN_BITS2 8
#define BN_BITS4 4
#define BN_MASK (0xffff)
#define BN_MASK2 (0xff)
#define BN_MASK2l (0xf)
#define BN_MASK2h1 (0xf8)
#define BN_MASK2h (0xf0)
#define BN_TBIT (0x80)
#define BN_DEC_CONV (100)
#define BN_DEC_FMT1 "%u"
#define BN_DEC_FMT2 "%02u"
#define BN_DEC_NUM 2
#endif
#define BN_DEFAULT_BITS 1280
#ifdef BIGNUM
#undef BIGNUM
#endif
#define BN_FLG_MALLOCED 0x01
#define BN_FLG_STATIC_DATA 0x02
#define BN_FLG_FREE 0x8000 /* used for debuging */
#define BN_set_flags(b,n) ((b)->flags|=(n))
#define BN_get_flags(b,n) ((b)->flags&(n))
typedef 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;
} BIGNUM;
/* Used for temp variables */
#define BN_CTX_NUM 12
#define BN_CTX_NUM_POS 12
typedef struct bignum_ctx
{
int tos;
BIGNUM bn[BN_CTX_NUM];
int flags;
int depth;
int pos[BN_CTX_NUM_POS];
int too_many;
} BN_CTX;
typedef struct bn_blinding_st
{
int init;
BIGNUM *A;
BIGNUM *Ai;
BIGNUM *mod; /* just a reference */
} BN_BLINDING;
/* Used for montgomery multiplication */
typedef 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; /* least significant word of Ni */
int flags;
} BN_MONT_CTX;
/* Used for reciprocal division/mod functions
* It cannot be shared between threads
*/
typedef struct bn_recp_ctx_st
{
BIGNUM N; /* the divisor */
BIGNUM Nr; /* the reciprocal */
int num_bits;
int shift;
int flags;
} BN_RECP_CTX;
#define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
r,a,&((mont)->RR),(mont),ctx)
#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)
#define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
#define BN_is_zero(a) (((a)->top == 0) || BN_is_word(a,0))
#define BN_is_one(a) (BN_is_word((a),1))
#define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
#define BN_one(a) (BN_set_word((a),1))
#define BN_zero(a) (BN_set_word((a),0))
/*#define BN_ascii2bn(a) BN_hex2bn(a) */
/*#define BN_bn2ascii(a) BN_bn2hex(a) */
BIGNUM *BN_value_one(void);
char * BN_options(void);
BN_CTX *BN_CTX_new(void);
void BN_CTX_init(BN_CTX *c);
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_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);
BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
int BN_bn2bin(const BIGNUM *a, unsigned char *to);
BIGNUM *BN_mpi2bn(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_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
BN_CTX *ctx);
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_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 *
|