crypto/bn/bn.h

   1 /* crypto/bn/bn.h */
   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 #ifndef HEADER_BN_H
  60 #define HEADER_BN_H
  61
  62 #ifndef OPENSSL_NO_FP_API
  63 #include <stdio.h> /* FILE */
  64 #endif
  65 #include <openssl/opensslconf.h>
  66
  67 #ifdef  __cplusplus
  68 extern "C" {
  69 #endif
  70
  71 #ifdef OPENSSL_SYS_VMS
  72 #undef BN_LLONG /* experimental, so far... */
  73 #endif
  74
  75 #define BN_MUL_COMBA
  76 #define BN_SQR_COMBA
  77 #define BN_RECURSION
  78
  79 /* This next option uses the C libraries (2 word)/(1 word) function.
  80  * If it is not defined, I use my C version (which is slower).
  81  * The reason for this flag is that when the particular C compiler
  82  * library routine is used, and the library is linked with a different
  83  * compiler, the library is missing.  This mostly happens when the
  84  * library is built with gcc and then linked using normal cc.  This would
  85  * be a common occurrence because gcc normally produces code that is
  86  * 2 times faster than system compilers for the big number stuff.
  87  * For machines with only one compiler (or shared libraries), this should
  88  * be on.  Again this in only really a problem on machines
  89  * using "long long's", are 32bit, and are not using my assembler code. */
  90 #if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
  91     defined(OPENSSL_SYS_WIN32) || defined(linux)
  92 #undef BN_DIV2W
  93 #define BN_DIV2W
  94 #endif
  95
  96 /* assuming long is 64bit - this is the DEC Alpha
  97  * unsigned long long is only 64 bits :-(, don't define
  98  * BN_LLONG for the DEC Alpha */
  99 #ifdef SIXTY_FOUR_BIT_LONG
 100 #define BN_ULLONG       unsigned long long
 101 #define BN_ULONG        unsigned long
 102 #define BN_LONG         long
 103 #define BN_BITS         128
 104 #define BN_BYTES        8
 105 #define BN_BITS2        64
 106 #define BN_BITS4        32
 107 #define BN_MASK         (0xffffffffffffffffffffffffffffffffLL)
 108 #define BN_MASK2        (0xffffffffffffffffL)
 109 #define BN_MASK2l       (0xffffffffL)
 110 #define BN_MASK2h       (0xffffffff00000000L)
 111 #define BN_MASK2h1      (0xffffffff80000000L)
 112 #define BN_TBIT         (0x8000000000000000L)
 113 #define BN_DEC_CONV     (10000000000000000000UL)
 114 #define BN_DEC_FMT1     "%lu"
 115 #define BN_DEC_FMT2     "%019lu"
 116 #define BN_DEC_NUM      19
 117 #endif
 118
 119 /* This is where the long long data type is 64 bits, but long is 32.
 120  * For machines where there are 64bit registers, this is the mode to use.
 121  * IRIX, on R4000 and above should use this mode, along with the relevant
 122  * assembler code :-).  Do NOT define BN_LLONG.
 123  */
 124 #ifdef SIXTY_FOUR_BIT
 125 #undef BN_LLONG
 126 #undef BN_ULLONG
 127 #define BN_ULONG        unsigned long long
 128 #define BN_LONG         long long
 129 #define BN_BITS         128
 130 #define BN_BYTES        8
 131 #define BN_BITS2        64
 132 #define BN_BITS4        32
 133 #define BN_MASK2        (0xffffffffffffffffLL)
 134 #define BN_MASK2l       (0xffffffffL)
 135 #define BN_MASK2h       (0xffffffff00000000LL)
 136 #define BN_MASK2h1      (0xffffffff80000000LL)
 137 #define BN_TBIT         (0x8000000000000000LL)
 138 #define BN_DEC_CONV     (10000000000000000000LL)
 139 #define BN_DEC_FMT1     "%llu"
 140 #define BN_DEC_FMT2     "%019llu"
 141 #define BN_DEC_NUM      19
 142 #endif
 143
 144 #ifdef THIRTY_TWO_BIT
 145 #if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
 146 #define BN_ULLONG       unsigned _int64
 147 #else
 148 #define BN_ULLONG       unsigned long long
 149 #endif
 150 #define BN_ULONG        unsigned long
 151 #define BN_LONG         long
 152 #define BN_BITS         64
 153 #define BN_BYTES        4
 154 #define BN_BITS2        32
 155 #define BN_BITS4        16
 156 #ifdef OPENSSL_SYS_WIN32
 157 /* VC++ doesn't like the LL suffix */
 158 #define BN_MASK         (0xffffffffffffffffL)
 159 #else
 160 #define BN_MASK         (0xffffffffffffffffLL)
 161 #endif
 162 #define BN_MASK2        (0xffffffffL)
 163 #define BN_MASK2l       (0xffff)
 164 #define BN_MASK2h1      (0xffff8000L)
 165 #define BN_MASK2h       (0xffff0000L)
 166 #define BN_TBIT         (0x80000000L)
 167 #define BN_DEC_CONV     (1000000000L)
 168 #define BN_DEC_FMT1     "%lu"
 169 #define BN_DEC_FMT2     "%09lu"
 170 #define BN_DEC_NUM      9
 171 #endif
 172
 173 #ifdef SIXTEEN_BIT
 174 #ifndef BN_DIV2W
 175 #define BN_DIV2W
 176 #endif
 177 #define BN_ULLONG       unsigned long
 178 #define BN_ULONG        unsigned short
 179 #define BN_LONG         short
 180 #define BN_BITS         32
 181 #define BN_BYTES        2
 182 #define BN_BITS2        16
 183 #define BN_BITS4        8
 184 #define BN_MASK         (0xffffffff)
 185 #define BN_MASK2        (0xffff)
 186 #define BN_MASK2l       (0xff)
 187 #define BN_MASK2h1      (0xff80)
 188 #define BN_MASK2h       (0xff00)
 189 #define BN_TBIT         (0x8000)
 190 #define BN_DEC_CONV     (100000)
 191 #define BN_DEC_FMT1     "%u"
 192 #define BN_DEC_FMT2     "%05u"
 193 #define BN_DEC_NUM      5
 194 #endif
 195
 196 #ifdef EIGHT_BIT
 197 #ifndef BN_DIV2W
 198 #define BN_DIV2W
 199 #endif
 200 #define BN_ULLONG       unsigned short
 201 #define BN_ULONG        unsigned char
 202 #define BN_LONG         char
 203 #define BN_BITS         16
 204 #define BN_BYTES        1
 205 #define BN_BITS2        8
 206 #define BN_BITS4        4
 207 #define BN_MASK         (0xffff)
 208 #define BN_MASK2        (0xff)
 209 #define BN_MASK2l       (0xf)
 210 #define BN_MASK2h1      (0xf8)
 211 #define BN_MASK2h       (0xf0)
 212 #define BN_TBIT         (0x80)
 213 #define BN_DEC_CONV     (100)
 214 #define BN_DEC_FMT1     "%u"
 215 #define BN_DEC_FMT2     "%02u"
 216 #define BN_DEC_NUM      2
 217 #endif
 218
 219 #define BN_DEFAULT_BITS 1280
 220
 221 #ifdef BIGNUM
 222 #undef BIGNUM
 223 #endif
 224
 225 #define BN_FLG_MALLOCED         0x01
 226 #define BN_FLG_STATIC_DATA      0x02
 227 #define BN_FLG_FREE             0x8000  /* used for debuging */
 228 #define BN_set_flags(b,n)       ((b)->flags|=(n))
 229 #define BN_get_flags(b,n)       ((b)->flags&(n))
 230
 231 typedef struct bignum_st
 232         {
 233         BN_ULONG *d;    /* Pointer to an array of 'BN_BITS2' bit chunks. */
 234         int top;        /* Index of last used d +1. */
 235         /* The next are internal book keeping for bn_expand. */
 236         int dmax;       /* Size of the d array. */
 237         int neg;        /* one if the number is negative */
 238         int flags;
 239         } BIGNUM;
 240
 241 /* Used for temp variables */
 242 #define BN_CTX_NUM      20
 243 #define BN_CTX_NUM_POS  12
 244 typedef struct bignum_ctx
 245         {
 246         int tos;
 247         BIGNUM bn[BN_CTX_NUM];
 248         int flags;
 249         int depth;
 250         int pos[BN_CTX_NUM_POS];
 251         int too_many;
 252         } BN_CTX;
 253
 254 typedef struct bn_blinding_st
 255         {
 256         int init;
 257         BIGNUM *A;
 258         BIGNUM *Ai;
 259         BIGNUM *mod; /* just a reference */
 260         } BN_BLINDING;
 261
 262 /* Used for montgomery multiplication */
 263 typedef struct bn_mont_ctx_st
 264         {
 265         int ri;        /* number of bits in R */
 266         BIGNUM RR;     /* used to convert to montgomery form */
 267         BIGNUM N;      /* The modulus */
 268         BIGNUM Ni;     /* R*(1/R mod N) - N*Ni = 1
 269                         * (Ni is only stored for bignum algorithm) */
 270         BN_ULONG n0;   /* least significant word of Ni */
 271         int flags;
 272         } BN_MONT_CTX;
 273
 274 /* Used for reciprocal division/mod functions
 275  * It cannot be shared between threads
 276  */
 277 typedef struct bn_recp_ctx_st
 278         {
 279         BIGNUM N;       /* the divisor */
 280         BIGNUM Nr;      /* the reciprocal */
 281         int num_bits;
 282         int shift;
 283         int flags;
 284         } BN_RECP_CTX;
 285
 286 #define BN_prime_checks 0 /* default: select number of iterations
 287                              based on the size of the number */
 288
 289 /* number of Miller-Rabin iterations for an error rate  of less than 2^-80
 290  * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
 291  * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
 292  * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
 293  * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
 294 #define BN_prime_checks_for_size(b) ((b) >= 1300 ?  2 : \
 295                                 (b) >=  850 ?  3 : \
 296                                 (b) >=  650 ?  4 : \
 297                                 (b) >=  550 ?  5 : \
 298                                 (b) >=  450 ?  6 : \
 299                                 (b) >=  400 ?  7 : \
 300                                 (b) >=  350 ?  8 : \
 301                                 (b) >=  300 ?  9 : \
 302                                 (b) >=  250 ? 12 : \
 303                                 (b) >=  200 ? 15 : \
 304                                 (b) >=  150 ? 18 : \
 305                                 /* b >= 100 */ 27)
 306
 307 #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
 308
 309 /* Note that BN_abs_is_word does not work reliably for w == 0 */
 310 #define BN_abs_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
 311 #define BN_is_zero(a)       (((a)->top == 0) || BN_abs_is_word(a,0))
 312 #define BN_is_one(a)        (BN_abs_is_word((a),1) && !(a)->neg)
 313 #define BN_is_word(a,w)     ((w) ? BN_abs_is_word((a),(w)) && !(a)->neg : \
 314                                    BN_is_zero((a)))
 315 #define BN_is_odd(a)        (((a)->top > 0) && ((a)->d[0] & 1))
 316
 317 #define BN_one(a)       (BN_set_word((a),1))
 318 #define BN_zero(a)      (BN_set_word((a),0))
 319
 320 /*#define BN_ascii2bn(a)        BN_hex2bn(a) */
 321 /*#define BN_bn2ascii(a)        BN_bn2hex(a) */
 322
 323 BIGNUM *BN_value_one(void);
 324 char *  BN_options(void);
 325 BN_CTX *BN_CTX_new(void);
 326 void    BN_CTX_init(BN_CTX *c);
 327 void    BN_CTX_free(BN_CTX *c);
 328 void    BN_CTX_start(BN_CTX *ctx);
 329 BIGNUM *BN_CTX_get(BN_CTX *ctx);
 330 void    BN_CTX_end(BN_CTX *ctx);
 331 int     BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
 332 int     BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
 333 int     BN_rand_range(BIGNUM *rnd, BIGNUM *range);
 334 int     BN_num_bits(const BIGNUM *a);
 335 int     BN_num_bits_word(BN_ULONG);
 336 BIGNUM *BN_new(void);
 337 void    BN_init(BIGNUM *);
 338 void    BN_clear_free(BIGNUM *a);
 339 BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
 340 void    BN_swap(BIGNUM *a, BIGNUM *b);
 341 BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
 342 int     BN_bn2bin(const BIGNUM *a, unsigned char *to);
 343 BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
 344 int     BN_bn2mpi(const BIGNUM *a, unsigned char *to);
 345 int     BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
 346 int     BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
 347 int     BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
 348 int     BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
 349 int     BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 350 int     BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
 351
 352 int     BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
 353         BN_CTX *ctx);
 354 #define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
 355 int     BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
 356 int     BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
 357 int     BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
 358 int     BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
 359 int     BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
 360 int     BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
 361         const BIGNUM *m, BN_CTX *ctx);
 362 int     BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
 363 int     BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
 364 int     BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
 365 int     BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
 366 int     BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
 367
 368 BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
 369 BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
 370 int     BN_mul_word(BIGNUM *a, BN_ULONG w);
 371 int     BN_add_word(BIGNUM *a, BN_ULONG w);
 372 int     BN_sub_word(BIGNUM *a, BN_ULONG w);
 373 int     BN_set_word(BIGNUM *a, BN_ULONG w);
 374 BN_ULONG BN_get_word(const BIGNUM *a);
 375
 376 int     BN_cmp(const BIGNUM *a, const BIGNUM *b);
 377 void    BN_free(BIGNUM *a);
 378 int     BN_is_bit_set(const BIGNUM *a, int n);
 379 int     BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
 380 int     BN_lshift1(BIGNUM *r, const BIGNUM *a);
 381 int     BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
 382
 383 int     BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
 384         const BIGNUM *m,BN_CTX *ctx);
 385 int     BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
 386         const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
 387 int     BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
 388         const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
 389 int     BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
 390         const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
 391         BN_CTX *ctx,BN_MONT_CTX *m_ctx);
 392 int     BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
 393         const BIGNUM *m,BN_CTX *ctx);
 394
 395 int     BN_mask_bits(BIGNUM *a,int n);
 396 #ifndef OPENSSL_NO_FP_API
 397 int     BN_print_fp(FILE *fp, const BIGNUM *a);
 398 #endif
 399 #ifdef HEADER_BIO_H
 400 int     BN_print(BIO *fp, const BIGNUM *a);
 401 #else
 402 int     BN_print(void *fp, const BIGNUM *a);
 403 #endif
 404 int     BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
 405 int     BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
 406 int     BN_rshift1(BIGNUM *r, const BIGNUM *a);
 407 void    BN_clear(BIGNUM *a);
 408 BIGNUM *BN_dup(const BIGNUM *a);
 409 int     BN_ucmp(const BIGNUM *a, const BIGNUM *b);
 410 int     BN_set_bit(BIGNUM *a, int n);
 411 int     BN_clear_bit(BIGNUM *a, int n);
 412 char *  BN_bn2hex(const BIGNUM *a);
 413 char *  BN_bn2dec(const BIGNUM *a);
 414 int     BN_hex2bn(BIGNUM **a, const char *str);
 415 int     BN_dec2bn(BIGNUM **a, const char *str);
 416 int     BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
 417 int     BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
 418 BIGNUM *BN_mod_inverse(BIGNUM *ret,
 419         const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
 420 BIGNUM *BN_mod_sqrt(BIGNUM *ret,
 421         const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
 422 BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
 423         const BIGNUM *add, const BIGNUM *rem,
 424         void (*callback)(int,int,void *),void *cb_arg);
 425 int     BN_is_prime(const BIGNUM *p,int nchecks,
 426         void (*callback)(int,int,void *),
 427         BN_CTX *ctx,void *cb_arg);
 428 int     BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
 429         void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
 430         int do_trial_division);
 431 void    ERR_load_BN_strings(void );
 432
 433 BN_MONT_CTX *BN_MONT_CTX_new(void );
 434 void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
 435 int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
 436         BN_MONT_CTX *mont, BN_CTX *ctx);
 437 #define BN_to_montgomery(r,a,mont,ctx)  BN_mod_mul_montgomery(\
 438         (r),(a),&((mont)->RR),(mont),(ctx))
 439 int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
 440         BN_MONT_CTX *mont, BN_CTX *ctx);
 441 void BN_MONT_CTX_free(BN_MONT_CTX *mont);
 442 int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx);
 443 BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
 444
 445 BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
 446 void BN_BLINDING_free(BN_BLINDING *b);
 447 int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
 448 int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
 449 int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
 450
 451 void BN_set_params(int mul,int high,int low,int mont);
 452 int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
 453
 454 void    BN_RECP_CTX_init(BN_RECP_CTX *recp);
 455 BN_RECP_CTX *BN_RECP_CTX_new(void);
 456 void    BN_RECP_CTX_free(BN_RECP_CTX *recp);
 457 int     BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
 458 int     BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
 459         BN_RECP_CTX *recp,BN_CTX *ctx);
 460 int     BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
 461         const BIGNUM *m, BN_CTX *ctx);
 462 int     BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
 463         BN_RECP_CTX *recp, BN_CTX *ctx);
 464
 465 /* library internal functions */
 466
 467 #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
 468         (a):bn_expand2((a),(bits)/BN_BITS2+1))
 469 #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
 470 BIGNUM *bn_expand2(BIGNUM *a, int words);
 471 BIGNUM *bn_dup_expand(const BIGNUM *a, int words);
 472
 473 #define bn_fix_top(a) \
 474         { \
 475         BN_ULONG *ftl; \
 476         if ((a)->top > 0) \
 477                 { \
 478                 for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
 479                 if (*(ftl--)) break; \
 480                 } \
 481         }
 482
 483 BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
 484 BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
 485 void     bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
 486 BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
 487 BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
 488 BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
 489
 490 #ifdef BN_DEBUG
 491 void bn_dump1(FILE *o, const char *a, const BN_ULONG *b,int n);
 492 # define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
 493    fprintf(stderr,"\n");}
 494 # define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
 495 #else
 496 # define bn_print(a)
 497 # define bn_dump(a,b)
 498 #endif
 499
 500 int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
 501
 502 /* BEGIN ERROR CODES */
 503 /* The following lines are auto generated by the script mkerr.pl. Any changes
 504  * made after this point may be overwritten when the script is next run.
 505  */
 506
 507 /* Error codes for the BN functions. */
 508
 509 /* Function codes. */
 510 #define BN_F_BN_BLINDING_CONVERT                         100
 511 #define BN_F_BN_BLINDING_INVERT                          101
 512 #define BN_F_BN_BLINDING_NEW                             102
 513 #define BN_F_BN_BLINDING_UPDATE                          103
 514 #define BN_F_BN_BN2DEC                                   104
 515 #define BN_F_BN_BN2HEX                                   105
 516 #define BN_F_BN_CTX_GET                                  116
 517 #define BN_F_BN_CTX_NEW                                  106
 518 #define BN_F_BN_DIV                                      107
 519 #define BN_F_BN_EXPAND2                                  108
 520 #define BN_F_BN_EXPAND_INTERNAL                          120
 521 #define BN_F_BN_MOD_EXP2_MONT                            118
 522 #define BN_F_BN_MOD_EXP_MONT                             109
 523 #define BN_F_BN_MOD_EXP_MONT_WORD                        117
 524 #define BN_F_BN_MOD_INVERSE                              110
 525 #define BN_F_BN_MOD_LSHIFT_QUICK                         119
 526 #define BN_F_BN_MOD_MUL_RECIPROCAL                       111
 527 #define BN_F_BN_MOD_SQRT                                 121
 528 #define BN_F_BN_MPI2BN                                   112
 529 #define BN_F_BN_NEW                                      113
 530 #define BN_F_BN_RAND                                     114
 531 #define BN_F_BN_RAND_RANGE                               122
 532 #define BN_F_BN_USUB                                     115
 533
 534 /* Reason codes. */
 535 #define BN_R_ARG2_LT_ARG3                                100
 536 #define BN_R_BAD_RECIPROCAL                              101
 537 #define BN_R_BIGNUM_TOO_LONG                             114
 538 #define BN_R_CALLED_WITH_EVEN_MODULUS                    102
 539 #define BN_R_DIV_BY_ZERO                                 103
 540 #define BN_R_ENCODING_ERROR                              104
 541 #define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA                105
 542 #define BN_R_INPUT_NOT_REDUCED                           110
 543 #define BN_R_INVALID_LENGTH                              106
 544 #define BN_R_INVALID_RANGE                               115
 545 #define BN_R_NOT_A_SQUARE                                111
 546 #define BN_R_NOT_INITIALIZED                             107
 547 #define BN_R_NO_INVERSE                                  108
 548 #define BN_R_P_IS_NOT_PRIME                              112
 549 #define BN_R_TOO_MANY_ITERATIONS                         113
 550 #define BN_R_TOO_MANY_TEMPORARY_VARIABLES                109
 551
 552 #ifdef  __cplusplus
 553 }
 554 #endif
 555 #endif
 556