bn.h 18.2 KB
Newer Older
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61
/* crypto/bn/bn.org */
/* 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

62 63
#include "opensslconf.h"

64 65 66 67
#ifdef  __cplusplus
extern "C" {
#endif

68 69 70
#define BN_MUL_COMBA
#define BN_SQR_COMBA
#define BN_RECURSION
71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99
#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
100
#define BN_MASK		(0xffffffffffffffffffffffffffffffffLL)
101 102 103 104 105
#define BN_MASK2	(0xffffffffffffffffL)
#define BN_MASK2l	(0xffffffffL)
#define BN_MASK2h	(0xffffffff00000000L)
#define BN_MASK2h1	(0xffffffff80000000L)
#define BN_TBIT		(0x8000000000000000L)
106
#define BN_DEC_CONV	(10000000000000000000UL)
107 108 109
#define BN_DEC_FMT1	"%lu"
#define BN_DEC_FMT2	"%019lu"
#define BN_DEC_NUM	19
110 111
#endif

112 113 114 115 116
/* 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_ULLONG.
 */
117
#ifdef SIXTY_FOUR_BIT
118
#define BN_LLONG
119 120 121 122 123 124 125 126 127 128 129 130
/* #define BN_ULLONG	unsigned long long */
#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)
131 132 133
#define BN_DEC_CONV	(10000000000000000000LL)
#define BN_DEC_FMT1	"%llu"
#define BN_DEC_FMT2	"%019llu"
134
#define BN_DEC_NUM	19
135 136 137 138 139 140 141 142 143 144 145 146 147 148
#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
149 150 151 152
#ifdef WIN32
/* VC++ doesn't like the LL suffix */
#define BN_MASK		(0xffffffffffffffffL)
#else
153
#define BN_MASK		(0xffffffffffffffffLL)
154
#endif
155 156 157 158 159
#define BN_MASK2	(0xffffffffL)
#define BN_MASK2l	(0xffff)
#define BN_MASK2h1	(0xffff8000L)
#define BN_MASK2h	(0xffff0000L)
#define BN_TBIT		(0x80000000L)
160 161 162 163
#define BN_DEC_CONV	(1000000000L)
#define BN_DEC_FMT1	"%lu"
#define BN_DEC_FMT2	"%09lu"
#define BN_DEC_NUM	9
164 165 166 167 168 169 170 171 172 173 174 175 176
#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
177
#define BN_MASK		(0xffffffff)
178 179 180 181 182
#define BN_MASK2	(0xffff)
#define BN_MASK2l	(0xff)
#define BN_MASK2h1	(0xff80)
#define BN_MASK2h	(0xff00)
#define BN_TBIT		(0x8000)
183 184 185 186
#define BN_DEC_CONV	(100000)
#define BN_DEC_FMT1	"%u"
#define BN_DEC_FMT2	"%05u"
#define BN_DEC_NUM	5
187 188 189 190 191 192 193 194 195 196 197 198 199
#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
200
#define BN_MASK		(0xffff)
201 202 203 204 205
#define BN_MASK2	(0xff)
#define BN_MASK2l	(0xf)
#define BN_MASK2h1	(0xf8)
#define BN_MASK2h	(0xf0)
#define BN_TBIT		(0x80)
206 207 208 209
#define BN_DEC_CONV	(100)
#define BN_DEC_FMT1	"%u"
#define BN_DEC_FMT2	"%02u"
#define BN_DEC_NUM	2
210 211 212 213 214 215 216 217
#endif

#define BN_DEFAULT_BITS	1280

#ifdef BIGNUM
#undef BIGNUM
#endif

218 219 220 221 222 223
#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))

224 225 226 227 228 229 230
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 */
231
	int flags;
232 233 234 235 236 237 238
	} BIGNUM;

/* Used for temp variables */
#define BN_CTX_NUM	12
typedef struct bignum_ctx
	{
	int tos;
239 240
	BIGNUM bn[BN_CTX_NUM+1];
	int flags;
241 242
	} BN_CTX;

243 244 245 246 247 248 249 250
typedef struct bn_blinding_st
	{
	int init;
	BIGNUM *A;
	BIGNUM *Ai;
	BIGNUM *mod; /* just a reference */
	} BN_BLINDING;

251 252 253
/* Used for montgomery multiplication */
typedef struct bn_mont_ctx_st
        {
254
	int use_word;	/* 0 for word form, 1 for long form */
255
        int ri;         /* number of bits in R */
256 257 258
        BIGNUM RR;     /* used to convert to montgomery form */
        BIGNUM N;      /* The modulus */
        BIGNUM Ni;     /* The inverse of N */
259 260
	BN_ULONG n0;	/* word form of inverse, normally only one of
			 * Ni or n0 is defined */
261
	int flags;
262 263
        } BN_MONT_CTX;

264 265 266 267 268 269 270 271 272 273 274 275
/* 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;

276
#define BN_to_montgomery(r,a,mont,ctx)	BN_mod_mul_montgomery(\
277
	r,a,&((mont)->RR),(mont),ctx)
278 279 280 281 282

#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)))
283
#define BN_is_zero(a)	(((a)->top == 0) || BN_is_word(a,0))
284
#define BN_is_one(a)	(BN_is_word((a),1))
285
#define BN_is_odd(a)	(((a)->top > 0) && ((a)->d[0] & 1))
286 287 288
#define BN_one(a)	(BN_set_word((a),1))
#define BN_zero(a)	(BN_set_word((a),0))

289 290
/*#define BN_ascii2bn(a)	BN_hex2bn(a) */
/*#define BN_bn2ascii(a)	BN_bn2hex(a) */
291

292 293
#define bn_expand(n,b) ((((((b+BN_BITS2-1))/BN_BITS2)) <= (n)->max)?\
	(n):bn_expand2((n),(b)/BN_BITS2+1))
294
#define bn_wexpand(n,b) (((b) <= (n)->max)?(n):bn_expand2((n),(b)))
295

296 297 298 299 300 301 302 303 304
#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; \
		} \
	}
305 306 307 308 309

#ifndef NOPROTO
BIGNUM *BN_value_one(void);
char *	BN_options(void);
BN_CTX *BN_CTX_new(void);
310
void	BN_CTX_init(BN_CTX *c);
311 312 313 314 315
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);
316
void	BN_init(BIGNUM *);
317 318 319 320
void	BN_clear_free(BIGNUM *a);
BIGNUM *BN_copy(BIGNUM *a, BIGNUM *b);
BIGNUM *BN_bin2bn(unsigned char *s,int len,BIGNUM *ret);
int	BN_bn2bin(BIGNUM *a, unsigned char *to);
321 322
BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
int	BN_bn2mpi(BIGNUM *a, unsigned char *to);
323
int	BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
324 325
int	BN_usub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
int	BN_uadd(BIGNUM *r, BIGNUM *a, BIGNUM *b);
326 327 328
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);
329
int	BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b,BN_CTX *ctx);
330
int	BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
331 332 333 334 335 336 337
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);
338 339 340 341 342
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);
343
int	BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
344
int	BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
345 346
int	BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx,
		BN_MONT_CTX *m_ctx);
347 348
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);
349 350 351 352 353 354 355 356 357 358 359 360 361
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
362
int	BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
363 364 365 366 367 368 369 370
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);
371 372 373 374
char *	BN_bn2hex(BIGNUM *a);
char *	BN_bn2dec(BIGNUM *a);
int 	BN_hex2bn(BIGNUM **a,char *str);
int 	BN_dec2bn(BIGNUM **a,char *str);
375
int	BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
376 377
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,
378 379 380
		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);
381 382
void	ERR_load_BN_strings(void );

383 384
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);
385
void     bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
386
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
387
BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
388
BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
389 390

BN_MONT_CTX *BN_MONT_CTX_new(void );
391
void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
392 393 394 395 396
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);
397
BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
398

399 400 401 402 403 404
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);

405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431
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_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
void bn_sqr_normal(BN_ULONG *r, BN_ULONG *a, int n, BN_ULONG *tmp);
void bn_sqr_comba8(BN_ULONG *r,BN_ULONG *a);
void bn_sqr_comba4(BN_ULONG *r,BN_ULONG *a);
int bn_cmp_words(BN_ULONG *a,BN_ULONG *b,int n);
void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,BN_ULONG *t);
void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
	int tn, int n,BN_ULONG *t);
void bn_sqr_recursive(BN_ULONG *r,BN_ULONG *a, int n2, BN_ULONG *t);
void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);

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);


432 433 434 435 436
#else

BIGNUM *BN_value_one();
char *	BN_options();
BN_CTX *BN_CTX_new();
437
void	BN_CTX_init();
438 439 440 441 442
void	BN_CTX_free();
int     BN_rand();
int	BN_num_bits();
int	BN_num_bits_word();
BIGNUM *BN_new();
443
void	BN_init();
444 445 446 447
void	BN_clear_free();
BIGNUM *BN_copy();
BIGNUM *BN_bin2bn();
int	BN_bn2bin();
448 449
BIGNUM *BN_mpi2bn();
int	BN_bn2mpi();
450
int	BN_sub();
451 452
int	BN_usub();
int	BN_uadd();
453 454 455 456 457 458 459 460
int	BN_add();
int	BN_mod();
int	BN_div();
int	BN_mul();
int	BN_sqr();
BN_ULONG BN_mod_word();
BN_ULONG BN_div_word();
int	BN_add_word();
461 462
int	BN_sub_word();
int	BN_mul_word();
463 464 465 466 467 468 469
int	BN_set_word();
unsigned long BN_get_word();
int	BN_cmp();
void	BN_free();
int	BN_is_bit_set();
int	BN_lshift();
int	BN_lshift1();
470
int	BN_exp();
471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490
int	BN_mod_exp();
int	BN_mod_exp_mont();
int	BN_mod_exp_recp();
int	BN_mod_exp_simple();
int	BN_mask_bits();
int	BN_mod_mul_reciprocal();
int	BN_mod_mul();
#ifndef WIN16
int	BN_print_fp();
#endif
int	BN_print();
int	BN_reciprocal();
int	BN_rshift();
int	BN_rshift1();
void	BN_clear();
BIGNUM *bn_expand2();
BIGNUM *BN_dup();
int	BN_ucmp();
int	BN_set_bit();
int	BN_clear_bit();
491 492 493 494
char *	BN_bn2hex();
char *	BN_bn2dec();
int 	BN_hex2bn();
int 	BN_dec2bn();
495 496 497 498 499 500
int	BN_gcd();
BIGNUM *BN_mod_inverse();
BIGNUM *BN_generate_prime();
int	BN_is_prime();
void	ERR_load_BN_strings();

501 502
BN_ULONG bn_mul_add_words();
BN_ULONG bn_mul_words();
503
void     bn_sqr_words();
504
BN_ULONG bn_div_words();
505
BN_ULONG bn_add_words();
506
BN_ULONG bn_sub_words();
507 508 509 510

int BN_mod_mul_montgomery();
int BN_from_montgomery();
BN_MONT_CTX *BN_MONT_CTX_new();
511
void BN_MONT_CTX_init();
512 513
void BN_MONT_CTX_free();
int BN_MONT_CTX_set();
514
BN_MONT_CTX *BN_MONT_CTX_copy();
515

516 517 518 519 520 521
BN_BLINDING *BN_BLINDING_new();
void BN_BLINDING_free();
int BN_BLINDING_update();
int BN_BLINDING_convert();
int BN_BLINDING_invert();

522 523 524
void BN_set_params();
int BN_get_params();

525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544
void bn_mul_normal();
void bn_mul_comba8();
void bn_mul_comba4();
void bn_sqr_normal();
void bn_sqr_comba8();
void bn_sqr_comba4();
int bn_cmp_words();
void bn_mul_recursive();
void bn_mul_part_recursive();
void bn_sqr_recursive();
void bn_mul_low_normal();

void	BN_RECP_CTX_init();
BN_RECP_CTX *BN_RECP_CTX_new();
void	BN_RECP_CTX_free();
int	BN_RECP_CTX_set();
int	BN_mod_mul_reciprocal();
int	BN_mod_exp_recp();
int	BN_div_recp();

545 546 547 548 549 550
#endif

/* BEGIN ERROR CODES */
/* Error codes for the BN functions. */

/* Function codes. */
551 552 553 554
#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
555 556 557 558 559 560 561 562 563 564 565 566
#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
567 568

/* Reason codes. */
569 570 571 572 573 574 575
#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
U
Ulf Möller 已提交
576
#define BN_R_NOT_INITIALIZED				 107
577
#define BN_R_NO_INVERSE					 108
578 579 580 581 582 583
 
#ifdef  __cplusplus
}
#endif
#endif