crypto/bn/bn.org

   1 /* crypto/bn/bn.org */
   2 /* Copyright (C) 1995-1997 Eric Young (eay@cryptsoft.com)
   3  * All rights reserved.
   4  *
   5  * This package is an SSL implementation written
   6  * by Eric Young (eay@cryptsoft.com).
   7  * The implementation was written so as to conform with Netscapes SSL.
   8  *
   9  * This library is free for commercial and non-commercial use as long as
  10  * the following conditions are aheared to.  The following conditions
  11  * apply to all code found in this distribution, be it the RC4, RSA,
  12  * lhash, DES, etc., code; not just the SSL code.  The SSL documentation
  13  * included with this distribution is covered by the same copyright terms
  14  * except that the holder is Tim Hudson (tjh@cryptsoft.com).
  15  *
  16  * Copyright remains Eric Young's, and as such any Copyright notices in
  17  * the code are not to be removed.
  18  * If this package is used in a product, Eric Young should be given attribution
  19  * as the author of the parts of the library used.
  20  * This can be in the form of a textual message at program startup or
  21  * in documentation (online or textual) provided with the package.
  22  *
  23  * Redistribution and use in source and binary forms, with or without
  24  * modification, are permitted provided that the following conditions
  25  * are met:
  26  * 1. Redistributions of source code must retain the copyright
  27  *    notice, this list of conditions and the following disclaimer.
  28  * 2. Redistributions in binary form must reproduce the above copyright
  29  *    notice, this list of conditions and the following disclaimer in the
  30  *    documentation and/or other materials provided with the distribution.
  31  * 3. All advertising materials mentioning features or use of this software
  32  *    must display the following acknowledgement:
  33  *    "This product includes cryptographic software written by
  34  *     Eric Young (eay@cryptsoft.com)"
  35  *    The word 'cryptographic' can be left out if the rouines from the library
  36  *    being used are not cryptographic related :-).
  37  * 4. If you include any Windows specific code (or a derivative thereof) from
  38  *    the apps directory (application code) you must include an acknowledgement:
  39  *    "This product includes software written by Tim Hudson (tjh@cryptsoft.com)"
  40  *
  41  * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND
  42  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  43  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  44  * ARE DISCLAIMED.  IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
  45  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  46  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  47  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  48  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  49  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  50  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  51  * SUCH DAMAGE.
  52  *
  53  * The licence and distribution terms for any publically available version or
  54  * derivative of this code cannot be changed.  i.e. this code cannot simply be
  55  * copied and put under another distribution licence
  56  * [including the GNU Public Licence.]
  57  */
  58
  59 /* WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING
  60  *
  61  * Always modify bn.org since bn.h is automatically generated from
  62  * it during SSLeay configuration.
  63  *
  64  * WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING WARNING
  65  */
  66
  67 #ifndef HEADER_BN_H
  68 #define HEADER_BN_H
  69
  70 #ifdef  __cplusplus
  71 extern "C" {
  72 #endif
  73
  74 #undef BN_LLONG
  75
  76 #ifdef WIN32
  77 #define BN_LLONG /* This comment stops Configure mutilating things */
  78 #endif
  79
  80 #define BN_MUL_COMBA
  81 #define BN_SQR_COMBA
  82 #define BN_RECURSION
  83 #define RECP_MUL_MOD
  84 #define MONT_MUL_MOD
  85
  86 /* This next option uses the C libraries (2 word)/(1 word) function.
  87  * If it is not defined, I use my C version (which is slower).
  88  * The reason for this flag is that when the particular C compiler
  89  * library routine is used, and the library is linked with a different
  90  * compiler, the library is missing.  This mostly happens when the
  91  * library is built with gcc and then linked using nornal cc.  This would
  92  * be a common occurance because gcc normally produces code that is
  93  * 2 times faster than system compilers for the big number stuff.
  94  * For machines with only one compiler (or shared libraries), this should
  95  * be on.  Again this in only really a problem on machines
  96  * using "long long's", are 32bit, and are not using my assember code. */
  97 #if defined(MSDOS) || defined(WINDOWS) || defined(linux)
  98 #define BN_DIV2W
  99 #endif
 100
 101 /* Only one for the following should be defined */
 102 /* The prime number generation stuff may not work when
 103  * EIGHT_BIT but I don't care since I've only used this mode
 104  * for debuging the bignum libraries */
 105 #undef SIXTY_FOUR_BIT_LONG
 106 #undef SIXTY_FOUR_BIT
 107 #define THIRTY_TWO_BIT
 108 #undef SIXTEEN_BIT
 109 #undef EIGHT_BIT
 110
 111
 112 /* assuming long is 64bit - this is the DEC Alpha
 113  * unsigned long long is only 64 bits :-(, don't define
 114  * BN_LLONG for the DEC Alpha */
 115 #ifdef SIXTY_FOUR_BIT_LONG
 116 #define BN_ULLONG       unsigned long long
 117 #define BN_ULONG        unsigned long
 118 #define BN_LONG         long
 119 #define BN_BITS         128
 120 #define BN_BYTES        8
 121 #define BN_BITS2        64
 122 #define BN_BITS4        32
 123 #define BN_MASK         (0xffffffffffffffffffffffffffffffffLL)
 124 #define BN_MASK2        (0xffffffffffffffffL)
 125 #define BN_MASK2l       (0xffffffffL)
 126 #define BN_MASK2h       (0xffffffff00000000L)
 127 #define BN_MASK2h1      (0xffffffff80000000L)
 128 #define BN_TBIT         (0x8000000000000000L)
 129 #define BN_DEC_CONV     (10000000000000000000UL)
 130 #define BN_DEC_FMT1     "%lu"
 131 #define BN_DEC_FMT2     "%019lu"
 132 #define BN_DEC_NUM      19
 133 #endif
 134
 135 /* This is where the long long data type is 64 bits, but long is 32.
 136  * For machines where there are 64bit registers, this is the mode to use.
 137  * IRIX, on R4000 and above should use this mode, along with the relevent
 138  * assember code :-).  Do NOT define BN_ULLONG.
 139  */
 140 #ifdef SIXTY_FOUR_BIT
 141 #undef BN_LLONG
 142 /* #define BN_ULLONG    unsigned long long */
 143 #define BN_ULONG        unsigned long long
 144 #define BN_LONG         long long
 145 #define BN_BITS         128
 146 #define BN_BYTES        8
 147 #define BN_BITS2        64
 148 #define BN_BITS4        32
 149 #define BN_MASK2        (0xffffffffffffffffLL)
 150 #define BN_MASK2l       (0xffffffffL)
 151 #define BN_MASK2h       (0xffffffff00000000LL)
 152 #define BN_MASK2h1      (0xffffffff80000000LL)
 153 #define BN_TBIT         (0x8000000000000000LL)
 154 #define BN_DEC_CONV     (10000000000000000000LL)
 155 #define BN_DEC_FMT1     "%llu"
 156 #define BN_DEC_FMT2     "%019llu"
 157 #define BN_DEC_NUM      19
 158 #endif
 159
 160 #ifdef THIRTY_TWO_BIT
 161 #ifdef WIN32
 162 #define BN_ULLONG       unsigned _int64
 163 #else
 164 #define BN_ULLONG       unsigned long long
 165 #endif
 166 #define BN_ULONG        unsigned long
 167 #define BN_LONG         long
 168 #define BN_BITS         64
 169 #define BN_BYTES        4
 170 #define BN_BITS2        32
 171 #define BN_BITS4        16
 172 #define BN_MASK         (0xffffffffffffffffLL)
 173 #define BN_MASK2        (0xffffffffL)
 174 #define BN_MASK2l       (0xffff)
 175 #define BN_MASK2h1      (0xffff8000L)
 176 #define BN_MASK2h       (0xffff0000L)
 177 #define BN_TBIT         (0x80000000L)
 178 #define BN_DEC_CONV     (1000000000L)
 179 #define BN_DEC_FMT1     "%lu"
 180 #define BN_DEC_FMT2     "%09lu"
 181 #define BN_DEC_NUM      9
 182 #endif
 183
 184 #ifdef SIXTEEN_BIT
 185 #ifndef BN_DIV2W
 186 #define BN_DIV2W
 187 #endif
 188 #define BN_ULLONG       unsigned long
 189 #define BN_ULONG        unsigned short
 190 #define BN_LONG         short
 191 #define BN_BITS         32
 192 #define BN_BYTES        2
 193 #define BN_BITS2        16
 194 #define BN_BITS4        8
 195 #define BN_MASK         (0xffffffff)
 196 #define BN_MASK2        (0xffff)
 197 #define BN_MASK2l       (0xff)
 198 #define BN_MASK2h1      (0xff80)
 199 #define BN_MASK2h       (0xff00)
 200 #define BN_TBIT         (0x8000)
 201 #define BN_DEC_CONV     (100000)
 202 #define BN_DEC_FMT1     "%u"
 203 #define BN_DEC_FMT2     "%05u"
 204 #define BN_DEC_NUM      5
 205 #endif
 206
 207 #ifdef EIGHT_BIT
 208 #ifndef BN_DIV2W
 209 #define BN_DIV2W
 210 #endif
 211 #define BN_ULLONG       unsigned short
 212 #define BN_ULONG        unsigned char
 213 #define BN_LONG         char
 214 #define BN_BITS         16
 215 #define BN_BYTES        1
 216 #define BN_BITS2        8
 217 #define BN_BITS4        4
 218 #define BN_MASK         (0xffff)
 219 #define BN_MASK2        (0xff)
 220 #define BN_MASK2l       (0xf)
 221 #define BN_MASK2h1      (0xf8)
 222 #define BN_MASK2h       (0xf0)
 223 #define BN_TBIT         (0x80)
 224 #define BN_DEC_CONV     (100)
 225 #define BN_DEC_FMT1     "%u"
 226 #define BN_DEC_FMT2     "%02u"
 227 #define BN_DEC_NUM      2
 228 #endif
 229
 230 #define BN_DEFAULT_BITS 1280
 231
 232 #ifdef BIGNUM
 233 #undef BIGNUM
 234 #endif
 235
 236 #define BN_FLG_MALLOCED         0x01
 237 #define BN_FLG_STATIC_DATA      0x02
 238 #define BN_FLG_FREE             0x8000  /* used for debuging */
 239 #define BN_set_flags(b,n)       ((b)->flags|=(n))
 240 #define BN_get_flags(b,n)       ((b)->flags&(n))
 241
 242 typedef struct bignum_st
 243         {
 244         BN_ULONG *d;    /* Pointer to an array of 'BN_BITS2' bit chunks. */
 245         int top;        /* Index of last used d +1. */
 246         /* The next are internal book keeping for bn_expand. */
 247         int max;        /* Size of the d array. */
 248         int neg;        /* one if the number is negative */
 249         int flags;
 250         } BIGNUM;
 251
 252 /* Used for temp variables */
 253 #define BN_CTX_NUM      12
 254 typedef struct bignum_ctx
 255         {
 256         int tos;
 257         BIGNUM bn[BN_CTX_NUM+1];
 258         int flags;
 259         } BN_CTX;
 260
 261 typedef struct bn_blinding_st
 262         {
 263         int init;
 264         BIGNUM *A;
 265         BIGNUM *Ai;
 266         BIGNUM *mod; /* just a reference */
 267         } BN_BLINDING;
 268
 269 /* Used for montgomery multiplication */
 270 typedef struct bn_mont_ctx_st
 271         {
 272         int use_word;   /* 0 for word form, 1 for long form */
 273         int ri;         /* number of bits in R */
 274         BIGNUM RR;     /* used to convert to montgomery form */
 275         BIGNUM N;      /* The modulus */
 276         BIGNUM Ni;     /* The inverse of N */
 277         BN_ULONG n0;    /* word form of inverse, normally only one of
 278                          * Ni or n0 is defined */
 279         int flags;
 280         } BN_MONT_CTX;
 281
 282 /* Used for reciprocal division/mod functions
 283  * It cannot be shared between threads
 284  */
 285 typedef struct bn_recp_ctx_st
 286         {
 287         BIGNUM N;       /* the divisor */
 288         BIGNUM Nr;      /* the reciprocal */
 289         int num_bits;
 290         int shift;
 291         int flags;
 292         } BN_RECP_CTX;
 293
 294 #define BN_to_montgomery(r,a,mont,ctx)  BN_mod_mul_montgomery(\
 295         r,a,&((mont)->RR),(mont),ctx)
 296
 297 #define BN_prime_checks         (5)
 298
 299 #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
 300 #define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
 301 #define BN_is_zero(a)   (((a)->top == 0) || BN_is_word(a,0))
 302 #define BN_is_one(a)    (BN_is_word((a),1))
 303 #define BN_is_odd(a)    (((a)->top > 0) && ((a)->d[0] & 1))
 304 #define BN_one(a)       (BN_set_word((a),1))
 305 #define BN_zero(a)      (BN_set_word((a),0))
 306
 307 /*#define BN_ascii2bn(a)        BN_hex2bn(a) */
 308 /*#define BN_bn2ascii(a)        BN_bn2hex(a) */
 309
 310 #define bn_expand(n,b) ((((((b+BN_BITS2-1))/BN_BITS2)) <= (n)->max)?\
 311         (n):bn_expand2((n),(b)/BN_BITS2+1))
 312 #define bn_wexpand(n,b) (((b) <= (n)->max)?(n):bn_expand2((n),(b)))
 313
 314 #define bn_fix_top(a) \
 315         { \
 316         BN_ULONG *ftl; \
 317         if ((a)->top > 0) \
 318                 { \
 319                 for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
 320                 if (*(ftl--)) break; \
 321                 } \
 322         }
 323
 324 #ifndef NOPROTO
 325 BIGNUM *BN_value_one(void);
 326 char *  BN_options(void);
 327 BN_CTX *BN_CTX_new(void);
 328 void    BN_CTX_init(BN_CTX *c);
 329 void    BN_CTX_free(BN_CTX *c);
 330 int     BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
 331 int     BN_num_bits(BIGNUM *a);
 332 int     BN_num_bits_word(BN_ULONG);
 333 BIGNUM *BN_new(void);
 334 void    BN_init(BIGNUM *);
 335 void    BN_clear_free(BIGNUM *a);
 336 BIGNUM *BN_copy(BIGNUM *a, BIGNUM *b);
 337 BIGNUM *BN_bin2bn(unsigned char *s,int len,BIGNUM *ret);
 338 int     BN_bn2bin(BIGNUM *a, unsigned char *to);
 339 BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
 340 int     BN_bn2mpi(BIGNUM *a, unsigned char *to);
 341 int     BN_sub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
 342 int     BN_usub(BIGNUM *r, BIGNUM *a, BIGNUM *b);
 343 int     BN_uadd(BIGNUM *r, BIGNUM *a, BIGNUM *b);
 344 int     BN_add(BIGNUM *r, BIGNUM *a, BIGNUM *b);
 345 int     BN_mod(BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
 346 int     BN_div(BIGNUM *dv, BIGNUM *rem, BIGNUM *m, BIGNUM *d, BN_CTX *ctx);
 347 int     BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b,BN_CTX *ctx);
 348 int     BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
 349 BN_ULONG BN_mod_word(BIGNUM *a, BN_ULONG w);
 350 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
 351 int     BN_mul_word(BIGNUM *a, BN_ULONG w);
 352 int     BN_add_word(BIGNUM *a, BN_ULONG w);
 353 int     BN_sub_word(BIGNUM *a, BN_ULONG w);
 354 int     BN_set_word(BIGNUM *a, BN_ULONG w);
 355 BN_ULONG BN_get_word(BIGNUM *a);
 356 int     BN_cmp(BIGNUM *a, BIGNUM *b);
 357 void    BN_free(BIGNUM *a);
 358 int     BN_is_bit_set(BIGNUM *a, int n);
 359 int     BN_lshift(BIGNUM *r, BIGNUM *a, int n);
 360 int     BN_lshift1(BIGNUM *r, BIGNUM *a);
 361 int     BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
 362 int     BN_mod_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
 363 int     BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx,
 364                 BN_MONT_CTX *m_ctx);
 365 int     BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2,
 366                 BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx);
 367 int     BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, BIGNUM *p,
 368         BIGNUM *m,BN_CTX *ctx);
 369 int     BN_mask_bits(BIGNUM *a,int n);
 370 int     BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, BIGNUM *m,
 371         BN_CTX *ctx);
 372 #ifndef WIN16
 373 int     BN_print_fp(FILE *fp, BIGNUM *a);
 374 #endif
 375 #ifdef HEADER_BIO_H
 376 int     BN_print(BIO *fp, BIGNUM *a);
 377 #else
 378 int     BN_print(char *fp, BIGNUM *a);
 379 #endif
 380 int     BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
 381 int     BN_rshift(BIGNUM *r, BIGNUM *a, int n);
 382 int     BN_rshift1(BIGNUM *r, BIGNUM *a);
 383 void    BN_clear(BIGNUM *a);
 384 BIGNUM *bn_expand2(BIGNUM *b, int bits);
 385 BIGNUM *BN_dup(BIGNUM *a);
 386 int     BN_ucmp(BIGNUM *a, BIGNUM *b);
 387 int     BN_set_bit(BIGNUM *a, int n);
 388 int     BN_clear_bit(BIGNUM *a, int n);
 389 char *  BN_bn2hex(BIGNUM *a);
 390 char *  BN_bn2dec(BIGNUM *a);
 391 int     BN_hex2bn(BIGNUM **a,char *str);
 392 int     BN_dec2bn(BIGNUM **a,char *str);
 393 int     BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
 394 BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, BIGNUM *n,BN_CTX *ctx);
 395 BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int strong,BIGNUM *add,
 396                 BIGNUM *rem,void (*callback)(int,int,char *),char *cb_arg);
 397 int     BN_is_prime(BIGNUM *p,int nchecks,void (*callback)(int,int,char *),
 398                 BN_CTX *ctx,char *cb_arg);
 399 void    ERR_load_BN_strings(void );
 400
 401 BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
 402 BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
 403 void     bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
 404 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
 405 BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
 406 BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
 407
 408 BN_MONT_CTX *BN_MONT_CTX_new(void );
 409 void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
 410 int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
 411         BN_CTX *ctx);
 412 int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
 413 void BN_MONT_CTX_free(BN_MONT_CTX *mont);
 414 int BN_MONT_CTX_set(BN_MONT_CTX *mont,BIGNUM *modulus,BN_CTX *ctx);
 415 BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
 416
 417 BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
 418 void BN_BLINDING_free(BN_BLINDING *b);
 419 int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
 420 int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
 421 int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
 422
 423 void BN_set_params(int mul,int high,int low,int mont);
 424 int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
 425
 426 void bn_mul_normal(BN_ULONG *r,BN_ULONG *a,int na,BN_ULONG *b,int nb);
 427 void bn_mul_comba8(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
 428 void bn_mul_comba4(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b);
 429 void bn_sqr_normal(BN_ULONG *r, BN_ULONG *a, int n, BN_ULONG *tmp);
 430 void bn_sqr_comba8(BN_ULONG *r,BN_ULONG *a);
 431 void bn_sqr_comba4(BN_ULONG *r,BN_ULONG *a);
 432 int bn_cmp_words(BN_ULONG *a,BN_ULONG *b,int n);
 433 void bn_mul_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,int n2,BN_ULONG *t);
 434 void bn_mul_part_recursive(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b,
 435         int tn, int n,BN_ULONG *t);
 436 void bn_sqr_recursive(BN_ULONG *r,BN_ULONG *a, int n2, BN_ULONG *t);
 437 void bn_mul_low_normal(BN_ULONG *r,BN_ULONG *a,BN_ULONG *b, int n);
 438
 439 void    BN_RECP_CTX_init(BN_RECP_CTX *recp);
 440 BN_RECP_CTX *BN_RECP_CTX_new(void);
 441 void    BN_RECP_CTX_free(BN_RECP_CTX *recp);
 442 int     BN_RECP_CTX_set(BN_RECP_CTX *recp,BIGNUM *rdiv,BN_CTX *ctx);
 443 int     BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y,
 444                 BN_RECP_CTX *recp,BN_CTX *ctx);
 445 int     BN_mod_exp_recp(BIGNUM *r, BIGNUM *a, BIGNUM *p, BIGNUM *m,BN_CTX *ctx);
 446 int     BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *m,
 447                 BN_RECP_CTX *recp, BN_CTX *ctx);
 448
 449
 450 #else
 451
 452 BIGNUM *BN_value_one();
 453 char *  BN_options();
 454 BN_CTX *BN_CTX_new();
 455 void    BN_CTX_init();
 456 void    BN_CTX_free();
 457 int     BN_rand();
 458 int     BN_num_bits();
 459 int     BN_num_bits_word();
 460 BIGNUM *BN_new();
 461 void    BN_init();
 462 void    BN_clear_free();
 463 BIGNUM *BN_copy();
 464 BIGNUM *BN_bin2bn();
 465 int     BN_bn2bin();
 466 BIGNUM *BN_mpi2bn();
 467 int     BN_bn2mpi();
 468 int     BN_sub();
 469 int     BN_usub();
 470 int     BN_uadd();
 471 int     BN_add();
 472 int     BN_mod();
 473 int     BN_div();
 474 int     BN_mul();
 475 int     BN_sqr();
 476 BN_ULONG BN_mod_word();
 477 BN_ULONG BN_div_word();
 478 int     BN_add_word();
 479 int     BN_sub_word();
 480 int     BN_mul_word();
 481 int     BN_set_word();
 482 unsigned long BN_get_word();
 483 int     BN_cmp();
 484 void    BN_free();
 485 int     BN_is_bit_set();
 486 int     BN_lshift();
 487 int     BN_lshift1();
 488 int     BN_exp();
 489 int     BN_mod_exp();
 490 int     BN_mod_exp_mont();
 491 int     BN_mod_exp_recp();
 492 int     BN_mod_exp_simple();
 493 int     BN_mask_bits();
 494 int     BN_mod_mul_reciprocal();
 495 int     BN_mod_mul();
 496 #ifndef WIN16
 497 int     BN_print_fp();
 498 #endif
 499 int     BN_print();
 500 int     BN_reciprocal();
 501 int     BN_rshift();
 502 int     BN_rshift1();
 503 void    BN_clear();
 504 BIGNUM *bn_expand2();
 505 BIGNUM *BN_dup();
 506 int     BN_ucmp();
 507 int     BN_set_bit();
 508 int     BN_clear_bit();
 509 char *  BN_bn2hex();
 510 char *  BN_bn2dec();
 511 int     BN_hex2bn();
 512 int     BN_dec2bn();
 513 int     BN_gcd();
 514 BIGNUM *BN_mod_inverse();
 515 BIGNUM *BN_generate_prime();
 516 int     BN_is_prime();
 517 void    ERR_load_BN_strings();
 518
 519 BN_ULONG bn_mul_add_words();
 520 BN_ULONG bn_mul_words();
 521 void     bn_sqr_words();
 522 BN_ULONG bn_div_words();
 523 BN_ULONG bn_add_words();
 524 BN_ULONG bn_sub_words();
 525
 526 int BN_mod_mul_montgomery();
 527 int BN_from_montgomery();
 528 BN_MONT_CTX *BN_MONT_CTX_new();
 529 void BN_MONT_CTX_init();
 530 void BN_MONT_CTX_free();
 531 int BN_MONT_CTX_set();
 532
 533 BN_BLINDING *BN_BLINDING_new();
 534 void BN_BLINDING_free();
 535 int BN_BLINDING_update();
 536 int BN_BLINDING_convert();
 537 int BN_BLINDING_invert();
 538
 539 void bn_mul_normal();
 540 void bn_mul_comba8();
 541 void bn_mul_comba4();
 542 void bn_sqr_normal();
 543 void bn_sqr_comba8();
 544 void bn_sqr_comba4();
 545 int bn_cmp_words();
 546 void bn_mul_recursive();
 547 void bn_mul_part_recursive();
 548 void bn_sqr_recursive();
 549 void bn_mul_low_normal();
 550
 551 void    BN_RECP_CTX_init();
 552 BN_RECP_CTX *BN_RECP_CTX_new();
 553 void    BN_RECP_CTX_free();
 554 int     BN_RECP_CTX_set();
 555 int     BN_mod_mul_reciprocal();
 556 int     BN_mod_exp_recp();
 557 int     BN_div_recp();
 558
 559 #endif
 560
 561 /* BEGIN ERROR CODES */
 562 /* Error codes for the BN functions. */
 563
 564 /* Function codes. */
 565 #define BN_F_BN_BLINDING_CONVERT                         100
 566 #define BN_F_BN_BLINDING_INVERT                          101
 567 #define BN_F_BN_BLINDING_NEW                             102
 568 #define BN_F_BN_BLINDING_UPDATE                          103
 569 #define BN_F_BN_BN2DEC                                   104
 570 #define BN_F_BN_BN2HEX                                   105
 571 #define BN_F_BN_CTX_NEW                                  106
 572 #define BN_F_BN_DIV                                      107
 573 #define BN_F_BN_EXPAND2                                  108
 574 #define BN_F_BN_MOD_EXP_MONT                             109
 575 #define BN_F_BN_MOD_INVERSE                              110
 576 #define BN_F_BN_MOD_MUL_RECIPROCAL                       111
 577 #define BN_F_BN_MPI2BN                                   112
 578 #define BN_F_BN_NEW                                      113
 579 #define BN_F_BN_RAND                                     114
 580 #define BN_F_BN_USUB                                     115
 581
 582 /* Reason codes. */
 583 #define BN_R_ARG2_LT_ARG3                                100
 584 #define BN_R_BAD_RECIPROCAL                              101
 585 #define BN_R_CALLED_WITH_EVEN_MODULUS                    102
 586 #define BN_R_DIV_BY_ZERO                                 103
 587 #define BN_R_ENCODING_ERROR                              104
 588 #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA                105
 589 #define BN_R_INVALID_LENGTH                              106
 590 #define BN_R_NOT_INITALISED                              107
 591 #define BN_R_NO_INVERSE                                  108
 592
 593 #ifdef  __cplusplus
 594 }
 595 #endif
 596 #endif
 597