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openssl/crypto/bn/bn.h
Ulf Möller e14d4443a2 Bignum library bug fix. IRIX 6 passes "make test" now! 
This also avoids the problems with SC4.2 and unpatched SC5.

Submitted by: Andy Polyakov <appro@fy.chalmers.se>
1999-05-20 01:43:07 +00:00

465 lines
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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 WIN16
#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 nornal cc. This would
* be a common occurance 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 assember code. */
#if defined(MSDOS) || defined(WINDOWS) || 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 relevent
* assember 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
#ifdef WIN32
#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 max; /* 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
typedef struct bignum_ctx
{
int tos;
BIGNUM bn[BN_CTX_NUM+1];
int flags;
} 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 use_word; /* 0 for word form, 1 for long form */
int ri; /* number of bits in R */
BIGNUM RR; /* used to convert to montgomery form */
BIGNUM N; /* The modulus */
BIGNUM Ni; /* The inverse of N */
BN_ULONG n0; /* word form of inverse, normally only one of
* Ni or n0 is defined */
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 (5)
#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) */
#define bn_expand(n,b) ((((((b+BN_BITS2-1))/BN_BITS2)) <= (n)->max)?\
(n):bn_expand2((n),(b)/BN_BITS2+1))
#define bn_wexpand(n,b) (((b) <= (n)->max)?(n):bn_expand2((n),(b)))
#define bn_fix_top(a) \
{ \
BN_ULONG *ftl; \
if ((a)->top > 0) \
{ \
for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
if (*(ftl--)) break; \
} \
}
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);
int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
int BN_num_bits(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, BIGNUM *b);
BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
int BN_bn2bin(BIGNUM *a, unsigned char *to);
BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
int BN_bn2mpi(BIGNUM *a, unsigned char *to);
int BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
int BN_usub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
int BN_uadd(BIGNUM *r, BIGNUM *a, BIGNUM *b);
int BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b);
int BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
int BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b,BN_CTX *ctx);
int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
BN_ULONG BN_mod_word(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(BIGNUM *a);
int BN_cmp(BIGNUM *a, BIGNUM *b);
void BN_free(BIGNUM *a);
int BN_is_bit_set(BIGNUM *a, int n);
int BN_lshift(BIGNUM *r, BIGNUM *a, int n);
int BN_lshift1(BIGNUM *r, BIGNUM *a);
int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
int BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx,
BN_MONT_CTX *m_ctx);
int BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2,
BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx);
int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p,
BIGNUM *m,BN_CTX *ctx);
int BN_mask_bits(BIGNUM *a,int n);
int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, BIGNUM *m,
BN_CTX *ctx);
#ifndef WIN16
int BN_print_fp(FILE *fp, BIGNUM *a);
#endif
#ifdef HEADER_BIO_H
int BN_print(BIO *fp, BIGNUM *a);
#else
int BN_print(char *fp, BIGNUM *a);
#endif
int BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
int BN_rshift1(BIGNUM *r, BIGNUM *a);
void BN_clear(BIGNUM *a);
BIGNUM *bn_expand2(BIGNUM *b, int bits);
BIGNUM *BN_dup(BIGNUM *a);
int BN_ucmp(BIGNUM *a, BIGNUM *b);
int BN_set_bit(BIGNUM *a, int n);
int BN_clear_bit(BIGNUM *a, int n);
char * BN_bn2hex(BIGNUM *a);
char * BN_bn2dec(BIGNUM *a);
int BN_hex2bn(BIGNUM **a,char *str);
int BN_dec2bn(BIGNUM **a,char *str);
int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, BIGNUM *n,BN_CTX *ctx);
BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int strong,BIGNUM *add,
BIGNUM *rem,void (*callback)(int,int,char *),char *cb_arg);
int BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int,char *),
BN_CTX *ctx,char *cb_arg);
void ERR_load_BN_strings(void );
BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
void bn_sqr_words(BN_ULONG *rp, 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, BN_ULONG *ap, BN_ULONG *bp,int num);
BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
BN_MONT_CTX *BN_MONT_CTX_new(void );
void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
BN_CTX *ctx);
int BN_from_montgomery(BIGNUM *r,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,BIGNUM *modulus,BN_CTX *ctx);
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
BN_BLINDING *BN_BLINDING_new(BIGNUM *A,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 *r, BN_CTX *ctx);
int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
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 */
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,BIGNUM *rdiv,BN_CTX *ctx);
int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y,
BN_RECP_CTX *recp,BN_CTX *ctx);
int BN_mod_exp_recp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m,
BN_RECP_CTX *recp, BN_CTX *ctx);
/* 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.
*/
/* Error codes for the BN functions. */
/* Function codes. */
#define BN_F_BN_BLINDING_CONVERT 100
#define BN_F_BN_BLINDING_INVERT 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_NEW 106
#define BN_F_BN_DIV 107
#define BN_F_BN_EXPAND2 108
#define BN_F_BN_MOD_EXP_MONT 109
#define BN_F_BN_MOD_INVERSE 110
#define BN_F_BN_MOD_MUL_RECIPROCAL 111
#define BN_F_BN_MPI2BN 112
#define BN_F_BN_NEW 113
#define BN_F_BN_RAND 114
#define BN_F_BN_USUB 115
/* Reason codes. */
#define BN_R_ARG2_LT_ARG3 100
#define BN_R_BAD_RECIPROCAL 101
#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_INVALID_LENGTH 106
#define BN_R_NOT_INITIALIZED 107
#define BN_R_NO_INVERSE 108
#ifdef __cplusplus
}
#endif
#endif
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