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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 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 *
61 * Portions of the attached software ("Contribution") are developed by
62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
63 *
64 * The Contribution is licensed pursuant to the Eric Young open source
65 * license provided above.
66 *
67 * The binary polynomial arithmetic software is originally written by
68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
69 *
70 */
71
72#ifndef HEADER_BN_H
73#define HEADER_BN_H
74
75#include <openssl/e_os2.h>
76#ifndef OPENSSL_NO_FP_API
77#include <stdio.h> /* FILE */
78#endif
79#include <openssl/ossl_typ.h>
80
81#ifdef  __cplusplus
82extern "C" {
83#endif
84
85/* These preprocessor symbols control various aspects of the bignum headers and
86 * library code. They're not defined by any "normal" configuration, as they are
87 * intended for development and testing purposes. NB: defining all three can be
88 * useful for debugging application code as well as openssl itself.
89 *
90 * BN_DEBUG - turn on various debugging alterations to the bignum code
91 * BN_DEBUG_RAND - uses random poisoning of unused words to trip up
92 * mismanagement of bignum internals. You must also define BN_DEBUG.
93 */
94/* #define BN_DEBUG */
95/* #define BN_DEBUG_RAND */
96
97#define BN_MUL_COMBA
98#define BN_SQR_COMBA
99#define BN_RECURSION
100
101/* This next option uses the C libraries (2 word)/(1 word) function.
102 * If it is not defined, I use my C version (which is slower).
103 * The reason for this flag is that when the particular C compiler
104 * library routine is used, and the library is linked with a different
105 * compiler, the library is missing.  This mostly happens when the
106 * library is built with gcc and then linked using normal cc.  This would
107 * be a common occurrence because gcc normally produces code that is
108 * 2 times faster than system compilers for the big number stuff.
109 * For machines with only one compiler (or shared libraries), this should
110 * be on.  Again this in only really a problem on machines
111 * using "long long's", are 32bit, and are not using my assembler code. */
112#if defined(OPENSSL_SYS_MSDOS) || defined(OPENSSL_SYS_WINDOWS) || \
113    defined(OPENSSL_SYS_WIN32) || defined(linux)
114# ifndef BN_DIV2W
115#  define BN_DIV2W
116# endif
117#endif
118
119/* assuming long is 64bit - this is the DEC Alpha
120 * unsigned long long is only 64 bits :-(, don't define
121 * BN_LLONG for the DEC Alpha */
122#ifdef SIXTY_FOUR_BIT_LONG
123#define BN_ULLONG   unsigned long long
124#define BN_ULONG    unsigned long
125#define BN_LONG     long
126#define BN_BITS     128
127#define BN_BYTES    8
128#define BN_BITS2    64
129#define BN_BITS4    32
130#define BN_MASK     (0xffffffffffffffffffffffffffffffffLL)
131#define BN_MASK2    (0xffffffffffffffffL)
132#define BN_MASK2l   (0xffffffffL)
133#define BN_MASK2h   (0xffffffff00000000L)
134#define BN_MASK2h1  (0xffffffff80000000L)
135#define BN_TBIT     (0x8000000000000000L)
136#define BN_DEC_CONV (10000000000000000000UL)
137#define BN_DEC_FMT1 "%lu"
138#define BN_DEC_FMT2 "%019lu"
139#define BN_DEC_NUM  19
140#endif
141
142/* This is where the long long data type is 64 bits, but long is 32.
143 * For machines where there are 64bit registers, this is the mode to use.
144 * IRIX, on R4000 and above should use this mode, along with the relevant
145 * assembler code :-).  Do NOT define BN_LLONG.
146 */
147#ifdef SIXTY_FOUR_BIT
148#undef BN_LLONG
149#undef BN_ULLONG
150#define BN_ULONG    unsigned long long
151#define BN_LONG     long long
152#define BN_BITS     128
153#define BN_BYTES    8
154#define BN_BITS2    64
155#define BN_BITS4    32
156#define BN_MASK2    (0xffffffffffffffffLL)
157#define BN_MASK2l   (0xffffffffL)
158#define BN_MASK2h   (0xffffffff00000000LL)
159#define BN_MASK2h1  (0xffffffff80000000LL)
160#define BN_TBIT     (0x8000000000000000LL)
161#define BN_DEC_CONV (10000000000000000000ULL)
162#define BN_DEC_FMT1 "%llu"
163#define BN_DEC_FMT2 "%019llu"
164#define BN_DEC_NUM  19
165#endif
166
167#ifdef THIRTY_TWO_BIT
168#ifdef BN_LLONG
169# if defined(OPENSSL_SYS_WIN32) && !defined(__GNUC__)
170#  define BN_ULLONG unsigned __int64
171# else
172#  define BN_ULLONG unsigned long long
173# endif
174#endif
175#define BN_ULONG    unsigned long
176#define BN_LONG     long
177#define BN_BITS     64
178#define BN_BYTES    4
179#define BN_BITS2    32
180#define BN_BITS4    16
181#ifdef OPENSSL_SYS_WIN32
182/* VC++ doesn't like the LL suffix */
183#define BN_MASK     (0xffffffffffffffffL)
184#else
185#define BN_MASK     (0xffffffffffffffffLL)
186#endif
187#define BN_MASK2    (0xffffffffL)
188#define BN_MASK2l   (0xffff)
189#define BN_MASK2h1  (0xffff8000L)
190#define BN_MASK2h   (0xffff0000L)
191#define BN_TBIT     (0x80000000L)
192#define BN_DEC_CONV (1000000000L)
193#define BN_DEC_FMT1 "%lu"
194#define BN_DEC_FMT2 "%09lu"
195#define BN_DEC_NUM  9
196#endif
197
198#ifdef SIXTEEN_BIT
199#ifndef BN_DIV2W
200#define BN_DIV2W
201#endif
202#define BN_ULLONG   unsigned long
203#define BN_ULONG    unsigned short
204#define BN_LONG     short
205#define BN_BITS     32
206#define BN_BYTES    2
207#define BN_BITS2    16
208#define BN_BITS4    8
209#define BN_MASK     (0xffffffff)
210#define BN_MASK2    (0xffff)
211#define BN_MASK2l   (0xff)
212#define BN_MASK2h1  (0xff80)
213#define BN_MASK2h   (0xff00)
214#define BN_TBIT     (0x8000)
215#define BN_DEC_CONV (100000)
216#define BN_DEC_FMT1 "%u"
217#define BN_DEC_FMT2 "%05u"
218#define BN_DEC_NUM  5
219#endif
220
221#ifdef EIGHT_BIT
222#ifndef BN_DIV2W
223#define BN_DIV2W
224#endif
225#define BN_ULLONG   unsigned short
226#define BN_ULONG    unsigned char
227#define BN_LONG     char
228#define BN_BITS     16
229#define BN_BYTES    1
230#define BN_BITS2    8
231#define BN_BITS4    4
232#define BN_MASK     (0xffff)
233#define BN_MASK2    (0xff)
234#define BN_MASK2l   (0xf)
235#define BN_MASK2h1  (0xf8)
236#define BN_MASK2h   (0xf0)
237#define BN_TBIT     (0x80)
238#define BN_DEC_CONV (100)
239#define BN_DEC_FMT1 "%u"
240#define BN_DEC_FMT2 "%02u"
241#define BN_DEC_NUM  2
242#endif
243
244#define BN_DEFAULT_BITS 1280
245
246#define BN_FLG_MALLOCED     0x01
247#define BN_FLG_STATIC_DATA  0x02
248#define BN_FLG_EXP_CONSTTIME    0x04 /* avoid leaking exponent information through timings
249                                      * (BN_mod_exp_mont() will call BN_mod_exp_mont_consttime) */
250#ifndef OPENSSL_NO_DEPRECATED
251#define BN_FLG_FREE     0x8000  /* used for debuging */
252#endif
253#define BN_set_flags(b,n)   ((b)->flags|=(n))
254#define BN_get_flags(b,n)   ((b)->flags&(n))
255
256/* get a clone of a BIGNUM with changed flags, for *temporary* use only
257 * (the two BIGNUMs cannot not be used in parallel!) */
258#define BN_with_flags(dest,b,n)  ((dest)->d=(b)->d, \
259                                  (dest)->top=(b)->top, \
260                                  (dest)->dmax=(b)->dmax, \
261                                  (dest)->neg=(b)->neg, \
262                                  (dest)->flags=(((dest)->flags & BN_FLG_MALLOCED) \
263                                                 |  ((b)->flags & ~BN_FLG_MALLOCED) \
264                                                 |  BN_FLG_STATIC_DATA \
265                                                 |  (n)))
266
267/* Already declared in ossl_typ.h */
268#if 0
269typedef struct bignum_st BIGNUM;
270/* Used for temp variables (declaration hidden in bn_lcl.h) */
271typedef struct bignum_ctx BN_CTX;
272typedef struct bn_blinding_st BN_BLINDING;
273typedef struct bn_mont_ctx_st BN_MONT_CTX;
274typedef struct bn_recp_ctx_st BN_RECP_CTX;
275typedef struct bn_gencb_st BN_GENCB;
276#endif
277
278struct bignum_st
279    {
280    BN_ULONG *d;    /* Pointer to an array of 'BN_BITS2' bit chunks. */
281    int top;    /* Index of last used d +1. */
282    /* The next are internal book keeping for bn_expand. */
283    int dmax;   /* Size of the d array. */
284    int neg;    /* one if the number is negative */
285    int flags;
286    };
287
288/* Used for montgomery multiplication */
289struct bn_mont_ctx_st
290    {
291    int ri;        /* number of bits in R */
292    BIGNUM RR;     /* used to convert to montgomery form */
293    BIGNUM N;      /* The modulus */
294    BIGNUM Ni;     /* R*(1/R mod N) - N*Ni = 1
295                    * (Ni is only stored for bignum algorithm) */
296    BN_ULONG n0;   /* least significant word of Ni */
297    int flags;
298    };
299
300/* Used for reciprocal division/mod functions
301 * It cannot be shared between threads
302 */
303struct bn_recp_ctx_st
304    {
305    BIGNUM N;   /* the divisor */
306    BIGNUM Nr;  /* the reciprocal */
307    int num_bits;
308    int shift;
309    int flags;
310    };
311
312/* Used for slow "generation" functions. */
313struct bn_gencb_st
314    {
315    unsigned int ver;   /* To handle binary (in)compatibility */
316    void *arg;      /* callback-specific data */
317    union
318        {
319        /* if(ver==1) - handles old style callbacks */
320        void (*cb_1)(int, int, void *);
321        /* if(ver==2) - new callback style */
322        int (*cb_2)(int, int, BN_GENCB *);
323        } cb;
324    };
325/* Wrapper function to make using BN_GENCB easier,  */
326int BN_GENCB_call(BN_GENCB *cb, int a, int b);
327/* Macro to populate a BN_GENCB structure with an "old"-style callback */
328#define BN_GENCB_set_old(gencb, callback, cb_arg) { \
329        BN_GENCB *tmp_gencb = (gencb); \
330        tmp_gencb->ver = 1; \
331        tmp_gencb->arg = (cb_arg); \
332        tmp_gencb->cb.cb_1 = (callback); }
333/* Macro to populate a BN_GENCB structure with a "new"-style callback */
334#define BN_GENCB_set(gencb, callback, cb_arg) { \
335        BN_GENCB *tmp_gencb = (gencb); \
336        tmp_gencb->ver = 2; \
337        tmp_gencb->arg = (cb_arg); \
338        tmp_gencb->cb.cb_2 = (callback); }
339
340#define BN_prime_checks 0 /* default: select number of iterations
341                 based on the size of the number */
342
343/* number of Miller-Rabin iterations for an error rate  of less than 2^-80
344 * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
345 * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
346 * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
347 * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
348#define BN_prime_checks_for_size(b) ((b) >= 1300 ?  2 : \
349                                (b) >=  850 ?  3 : \
350                                (b) >=  650 ?  4 : \
351                                (b) >=  550 ?  5 : \
352                                (b) >=  450 ?  6 : \
353                                (b) >=  400 ?  7 : \
354                                (b) >=  350 ?  8 : \
355                                (b) >=  300 ?  9 : \
356                                (b) >=  250 ? 12 : \
357                                (b) >=  200 ? 15 : \
358                                (b) >=  150 ? 18 : \
359                                /* b >= 100 */ 27)
360
361#define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
362
363/* Note that BN_abs_is_word didn't work reliably for w == 0 until 0.9.8 */
364#define BN_abs_is_word(a,w) ((((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w))) || \
365                (((w) == 0) && ((a)->top == 0)))
366#define BN_is_zero(a)       ((a)->top == 0)
367#define BN_is_one(a)        (BN_abs_is_word((a),1) && !(a)->neg)
368#define BN_is_word(a,w)     (BN_abs_is_word((a),(w)) && (!(w) || !(a)->neg))
369#define BN_is_odd(a)        (((a)->top > 0) && ((a)->d[0] & 1))
370
371#define BN_one(a)   (BN_set_word((a),1))
372#define BN_zero_ex(a) \
373    do { \
374        BIGNUM *_tmp_bn = (a); \
375        _tmp_bn->top = 0; \
376        _tmp_bn->neg = 0; \
377    } while(0)
378#ifdef OPENSSL_NO_DEPRECATED
379#define BN_zero(a)  BN_zero_ex(a)
380#else
381#define BN_zero(a)  (BN_set_word((a),0))
382#endif
383
384const BIGNUM *BN_value_one(void);
385char *  BN_options(void);
386BN_CTX *BN_CTX_new(void);
387#ifndef OPENSSL_NO_DEPRECATED
388void    BN_CTX_init(BN_CTX *c);
389#endif
390void    BN_CTX_free(BN_CTX *c);
391void    BN_CTX_start(BN_CTX *ctx);
392BIGNUM *BN_CTX_get(BN_CTX *ctx);
393void    BN_CTX_end(BN_CTX *ctx);
394int     BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
395int     BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
396int BN_rand_range(BIGNUM *rnd, BIGNUM *range);
397int BN_pseudo_rand_range(BIGNUM *rnd, BIGNUM *range);
398int BN_num_bits(const BIGNUM *a);
399int BN_num_bits_word(BN_ULONG);
400BIGNUM *BN_new(void);
401void    BN_init(BIGNUM *);
402void    BN_clear_free(BIGNUM *a);
403BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
404void    BN_swap(BIGNUM *a, BIGNUM *b);
405BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
406int BN_bn2bin(const BIGNUM *a, unsigned char *to);
407BIGNUM *BN_mpi2bn(const unsigned char *s,int len,BIGNUM *ret);
408int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
409int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
410int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
411int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
412int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
413int BN_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
414int BN_sqr(BIGNUM *r, const BIGNUM *a,BN_CTX *ctx);
415/* BN_set_negative(): sets sign of a bignum */
416void    BN_set_negative(BIGNUM *b, int n);
417/* BN_get_negative():  returns 1 if the bignum is < 0 and 0 otherwise */
418#define BN_is_negative(a) ((a)->neg != 0)
419
420int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
421    BN_CTX *ctx);
422#define BN_mod(rem,m,d,ctx) BN_div(NULL,(rem),(m),(d),(ctx))
423int BN_nnmod(BIGNUM *r, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
424int BN_mod_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
425int BN_mod_add_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
426int BN_mod_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
427int BN_mod_sub_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *b, const BIGNUM *m);
428int BN_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
429    const BIGNUM *m, BN_CTX *ctx);
430int BN_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
431int BN_mod_lshift1(BIGNUM *r, const BIGNUM *a, const BIGNUM *m, BN_CTX *ctx);
432int BN_mod_lshift1_quick(BIGNUM *r, const BIGNUM *a, const BIGNUM *m);
433int BN_mod_lshift(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m, BN_CTX *ctx);
434int BN_mod_lshift_quick(BIGNUM *r, const BIGNUM *a, int n, const BIGNUM *m);
435
436BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
437BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
438int BN_mul_word(BIGNUM *a, BN_ULONG w);
439int BN_add_word(BIGNUM *a, BN_ULONG w);
440int BN_sub_word(BIGNUM *a, BN_ULONG w);
441int BN_set_word(BIGNUM *a, BN_ULONG w);
442BN_ULONG BN_get_word(const BIGNUM *a);
443
444int BN_cmp(const BIGNUM *a, const BIGNUM *b);
445void    BN_free(BIGNUM *a);
446int BN_is_bit_set(const BIGNUM *a, int n);
447int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
448int BN_lshift1(BIGNUM *r, const BIGNUM *a);
449int BN_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,BN_CTX *ctx);
450
451int BN_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
452    const BIGNUM *m,BN_CTX *ctx);
453int BN_mod_exp_mont(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
454    const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
455int BN_mod_exp_mont_consttime(BIGNUM *rr, const BIGNUM *a, const BIGNUM *p,
456    const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *in_mont);
457int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
458    const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
459int BN_mod_exp2_mont(BIGNUM *r, const BIGNUM *a1, const BIGNUM *p1,
460    const BIGNUM *a2, const BIGNUM *p2,const BIGNUM *m,
461    BN_CTX *ctx,BN_MONT_CTX *m_ctx);
462int BN_mod_exp_simple(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
463    const BIGNUM *m,BN_CTX *ctx);
464
465int BN_mask_bits(BIGNUM *a,int n);
466#ifndef OPENSSL_NO_FP_API
467int BN_print_fp(FILE *fp, const BIGNUM *a);
468#endif
469#ifdef HEADER_BIO_H
470int BN_print(BIO *fp, const BIGNUM *a);
471#else
472int BN_print(void *fp, const BIGNUM *a);
473#endif
474int BN_reciprocal(BIGNUM *r, const BIGNUM *m, int len, BN_CTX *ctx);
475int BN_rshift(BIGNUM *r, const BIGNUM *a, int n);
476int BN_rshift1(BIGNUM *r, const BIGNUM *a);
477void    BN_clear(BIGNUM *a);
478BIGNUM *BN_dup(const BIGNUM *a);
479int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
480int BN_set_bit(BIGNUM *a, int n);
481int BN_clear_bit(BIGNUM *a, int n);
482char *  BN_bn2hex(const BIGNUM *a);
483char *  BN_bn2dec(const BIGNUM *a);
484int     BN_hex2bn(BIGNUM **a, const char *str);
485int     BN_dec2bn(BIGNUM **a, const char *str);
486int BN_gcd(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx);
487int BN_kronecker(const BIGNUM *a,const BIGNUM *b,BN_CTX *ctx); /* returns -2 for error */
488BIGNUM *BN_mod_inverse(BIGNUM *ret,
489    const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
490BIGNUM *BN_mod_sqrt(BIGNUM *ret,
491    const BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
492
493/* Deprecated versions */
494#ifndef OPENSSL_NO_DEPRECATED
495BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,
496    const BIGNUM *add, const BIGNUM *rem,
497    void (*callback)(int,int,void *),void *cb_arg);
498int BN_is_prime(const BIGNUM *p,int nchecks,
499    void (*callback)(int,int,void *),
500    BN_CTX *ctx,void *cb_arg);
501int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
502    void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
503    int do_trial_division);
504#endif /* !defined(OPENSSL_NO_DEPRECATED) */
505
506/* Newer versions */
507int BN_generate_prime_ex(BIGNUM *ret,int bits,int safe, const BIGNUM *add,
508        const BIGNUM *rem, BN_GENCB *cb);
509int BN_is_prime_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx, BN_GENCB *cb);
510int BN_is_prime_fasttest_ex(const BIGNUM *p,int nchecks, BN_CTX *ctx,
511        int do_trial_division, BN_GENCB *cb);
512
513BN_MONT_CTX *BN_MONT_CTX_new(void );
514void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
515int BN_mod_mul_montgomery(BIGNUM *r,const BIGNUM *a,const BIGNUM *b,
516    BN_MONT_CTX *mont, BN_CTX *ctx);
517#define BN_to_montgomery(r,a,mont,ctx)  BN_mod_mul_montgomery(\
518    (r),(a),&((mont)->RR),(mont),(ctx))
519int BN_from_montgomery(BIGNUM *r,const BIGNUM *a,
520    BN_MONT_CTX *mont, BN_CTX *ctx);
521void BN_MONT_CTX_free(BN_MONT_CTX *mont);
522int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *mod,BN_CTX *ctx);
523BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
524BN_MONT_CTX *BN_MONT_CTX_set_locked(BN_MONT_CTX **pmont, int lock,
525                    const BIGNUM *mod, BN_CTX *ctx);
526
527/* BN_BLINDING flags */
528#define BN_BLINDING_NO_UPDATE   0x00000001
529#define BN_BLINDING_NO_RECREATE 0x00000002
530
531BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod);
532void BN_BLINDING_free(BN_BLINDING *b);
533int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
534int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
535int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
536int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *);
537int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, BN_CTX *);
538unsigned long BN_BLINDING_get_thread_id(const BN_BLINDING *);
539void BN_BLINDING_set_thread_id(BN_BLINDING *, unsigned long);
540unsigned long BN_BLINDING_get_flags(const BN_BLINDING *);
541void BN_BLINDING_set_flags(BN_BLINDING *, unsigned long);
542BN_BLINDING *BN_BLINDING_create_param(BN_BLINDING *b,
543    const BIGNUM *e, BIGNUM *m, BN_CTX *ctx,
544    int (*bn_mod_exp)(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
545              const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx),
546    BN_MONT_CTX *m_ctx);
547
548#ifndef OPENSSL_NO_DEPRECATED
549void BN_set_params(int mul,int high,int low,int mont);
550int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
551#endif
552
553void    BN_RECP_CTX_init(BN_RECP_CTX *recp);
554BN_RECP_CTX *BN_RECP_CTX_new(void);
555void    BN_RECP_CTX_free(BN_RECP_CTX *recp);
556int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
557int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *x, const BIGNUM *y,
558    BN_RECP_CTX *recp,BN_CTX *ctx);
559int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
560    const BIGNUM *m, BN_CTX *ctx);
561int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m,
562    BN_RECP_CTX *recp, BN_CTX *ctx);
563
564/* Functions for arithmetic over binary polynomials represented by BIGNUMs.
565 *
566 * The BIGNUM::neg property of BIGNUMs representing binary polynomials is
567 * ignored.
568 *
569 * Note that input arguments are not const so that their bit arrays can
570 * be expanded to the appropriate size if needed.
571 */
572
573int BN_GF2m_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b); /*r = a + b*/
574#define BN_GF2m_sub(r, a, b) BN_GF2m_add(r, a, b)
575int BN_GF2m_mod(BIGNUM *r, const BIGNUM *a, const BIGNUM *p); /*r=a mod p*/
576int BN_GF2m_mod_mul(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
577    const BIGNUM *p, BN_CTX *ctx); /* r = (a * b) mod p */
578int BN_GF2m_mod_sqr(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
579    BN_CTX *ctx); /* r = (a * a) mod p */
580int BN_GF2m_mod_inv(BIGNUM *r, const BIGNUM *b, const BIGNUM *p,
581    BN_CTX *ctx); /* r = (1 / b) mod p */
582int BN_GF2m_mod_div(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
583    const BIGNUM *p, BN_CTX *ctx); /* r = (a / b) mod p */
584int BN_GF2m_mod_exp(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
585    const BIGNUM *p, BN_CTX *ctx); /* r = (a ^ b) mod p */
586int BN_GF2m_mod_sqrt(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
587    BN_CTX *ctx); /* r = sqrt(a) mod p */
588int BN_GF2m_mod_solve_quad(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
589    BN_CTX *ctx); /* r^2 + r = a mod p */
590#define BN_GF2m_cmp(a, b) BN_ucmp((a), (b))
591/* Some functions allow for representation of the irreducible polynomials
592 * as an unsigned int[], say p.  The irreducible f(t) is then of the form:
593 *     t^p[0] + t^p[1] + ... + t^p[k]
594 * where m = p[0] > p[1] > ... > p[k] = 0.
595 */
596int BN_GF2m_mod_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[]);
597    /* r = a mod p */
598int BN_GF2m_mod_mul_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
599    const unsigned int p[], BN_CTX *ctx); /* r = (a * b) mod p */
600int BN_GF2m_mod_sqr_arr(BIGNUM *r, const BIGNUM *a, const unsigned int p[],
601    BN_CTX *ctx); /* r = (a * a) mod p */
602int BN_GF2m_mod_inv_arr(BIGNUM *r, const BIGNUM *b, const unsigned int p[],
603    BN_CTX *ctx); /* r = (1 / b) mod p */
604int BN_GF2m_mod_div_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
605    const unsigned int p[], BN_CTX *ctx); /* r = (a / b) mod p */
606int BN_GF2m_mod_exp_arr(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
607    const unsigned int p[], BN_CTX *ctx); /* r = (a ^ b) mod p */
608int BN_GF2m_mod_sqrt_arr(BIGNUM *r, const BIGNUM *a,
609    const unsigned int p[], BN_CTX *ctx); /* r = sqrt(a) mod p */
610int BN_GF2m_mod_solve_quad_arr(BIGNUM *r, const BIGNUM *a,
611    const unsigned int p[], BN_CTX *ctx); /* r^2 + r = a mod p */
612int BN_GF2m_poly2arr(const BIGNUM *a, unsigned int p[], int max);
613int BN_GF2m_arr2poly(const unsigned int p[], BIGNUM *a);
614
615/* faster mod functions for the 'NIST primes'
616 * 0 <= a < p^2 */
617int BN_nist_mod_192(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
618int BN_nist_mod_224(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
619int BN_nist_mod_256(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
620int BN_nist_mod_384(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
621int BN_nist_mod_521(BIGNUM *r, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx);
622
623const BIGNUM *BN_get0_nist_prime_192(void);
624const BIGNUM *BN_get0_nist_prime_224(void);
625const BIGNUM *BN_get0_nist_prime_256(void);
626const BIGNUM *BN_get0_nist_prime_384(void);
627const BIGNUM *BN_get0_nist_prime_521(void);
628
629/* library internal functions */
630
631#define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
632    (a):bn_expand2((a),(bits+BN_BITS2-1)/BN_BITS2))
633#define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
634BIGNUM *bn_expand2(BIGNUM *a, int words);
635#ifndef OPENSSL_NO_DEPRECATED
636BIGNUM *bn_dup_expand(const BIGNUM *a, int words); /* unused */
637#endif
638
639/* Bignum consistency macros
640 * There is one "API" macro, bn_fix_top(), for stripping leading zeroes from
641 * bignum data after direct manipulations on the data. There is also an
642 * "internal" macro, bn_check_top(), for verifying that there are no leading
643 * zeroes. Unfortunately, some auditing is required due to the fact that
644 * bn_fix_top() has become an overabused duct-tape because bignum data is
645 * occasionally passed around in an inconsistent state. So the following
646 * changes have been made to sort this out;
647 * - bn_fix_top()s implementation has been moved to bn_correct_top()
648 * - if BN_DEBUG isn't defined, bn_fix_top() maps to bn_correct_top(), and
649 *   bn_check_top() is as before.
650 * - if BN_DEBUG *is* defined;
651 *   - bn_check_top() tries to pollute unused words even if the bignum 'top' is
652 *     consistent. (ed: only if BN_DEBUG_RAND is defined)
653 *   - bn_fix_top() maps to bn_check_top() rather than "fixing" anything.
654 * The idea is to have debug builds flag up inconsistent bignums when they
655 * occur. If that occurs in a bn_fix_top(), we examine the code in question; if
656 * the use of bn_fix_top() was appropriate (ie. it follows directly after code
657 * that manipulates the bignum) it is converted to bn_correct_top(), and if it
658 * was not appropriate, we convert it permanently to bn_check_top() and track
659 * down the cause of the bug. Eventually, no internal code should be using the
660 * bn_fix_top() macro. External applications and libraries should try this with
661 * their own code too, both in terms of building against the openssl headers
662 * with BN_DEBUG defined *and* linking with a version of OpenSSL built with it
663 * defined. This not only improves external code, it provides more test
664 * coverage for openssl's own code.
665 */
666
667#ifdef BN_DEBUG
668
669/* We only need assert() when debugging */
670#include <assert.h>
671
672#ifdef BN_DEBUG_RAND
673/* To avoid "make update" cvs wars due to BN_DEBUG, use some tricks */
674#ifndef RAND_pseudo_bytes
675int RAND_pseudo_bytes(unsigned char *buf,int num);
676#define BN_DEBUG_TRIX
677#endif
678#define bn_pollute(a) \
679    do { \
680        const BIGNUM *_bnum1 = (a); \
681        if(_bnum1->top < _bnum1->dmax) { \
682            unsigned char _tmp_char; \
683            /* We cast away const without the compiler knowing, any \
684             * *genuinely* constant variables that aren't mutable \
685             * wouldn't be constructed with top!=dmax. */ \
686            BN_ULONG *_not_const; \
687            memcpy(&_not_const, &_bnum1->d, sizeof(BN_ULONG*)); \
688            RAND_pseudo_bytes(&_tmp_char, 1); \
689            memset((unsigned char *)(_not_const + _bnum1->top), _tmp_char, \
690                (_bnum1->dmax - _bnum1->top) * sizeof(BN_ULONG)); \
691        } \
692    } while(0)
693#ifdef BN_DEBUG_TRIX
694#undef RAND_pseudo_bytes
695#endif
696#else
697#define bn_pollute(a)
698#endif
699#define bn_check_top(a) \
700    do { \
701        const BIGNUM *_bnum2 = (a); \
702        assert((_bnum2->top == 0) || \
703                (_bnum2->d[_bnum2->top - 1] != 0)); \
704        bn_pollute(_bnum2); \
705    } while(0)
706
707#define bn_fix_top(a)       bn_check_top(a)
708
709#else /* !BN_DEBUG */
710
711#define bn_pollute(a)
712#define bn_check_top(a)
713#define bn_fix_top(a)       bn_correct_top(a)
714
715#endif
716
717#define bn_correct_top(a) \
718        { \
719        BN_ULONG *ftl; \
720    if ((a)->top > 0) \
721        { \
722        for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
723        if (*(ftl--)) break; \
724        } \
725    bn_pollute(a); \
726    }
727
728BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
729BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w);
730void     bn_sqr_words(BN_ULONG *rp, const BN_ULONG *ap, int num);
731BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
732BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
733BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,int num);
734
735int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
736
737/* BEGIN ERROR CODES */
738/* The following lines are auto generated by the script mkerr.pl. Any changes
739 * made after this point may be overwritten when the script is next run.
740 */
741void ERR_load_BN_strings(void);
742
743/* Error codes for the BN functions. */
744
745/* Function codes. */
746#define BN_F_BNRAND                  127
747#define BN_F_BN_BLINDING_CONVERT_EX          100
748#define BN_F_BN_BLINDING_CREATE_PARAM            128
749#define BN_F_BN_BLINDING_INVERT_EX           101
750#define BN_F_BN_BLINDING_NEW                 102
751#define BN_F_BN_BLINDING_UPDATE              103
752#define BN_F_BN_BN2DEC                   104
753#define BN_F_BN_BN2HEX                   105
754#define BN_F_BN_CTX_GET                  116
755#define BN_F_BN_CTX_NEW                  106
756#define BN_F_BN_CTX_START                129
757#define BN_F_BN_DIV                  107
758#define BN_F_BN_DIV_RECP                 130
759#define BN_F_BN_EXP                  123
760#define BN_F_BN_EXPAND2                  108
761#define BN_F_BN_EXPAND_INTERNAL              120
762#define BN_F_BN_GF2M_MOD                 131
763#define BN_F_BN_GF2M_MOD_EXP                 132
764#define BN_F_BN_GF2M_MOD_MUL                 133
765#define BN_F_BN_GF2M_MOD_SOLVE_QUAD          134
766#define BN_F_BN_GF2M_MOD_SOLVE_QUAD_ARR          135
767#define BN_F_BN_GF2M_MOD_SQR                 136
768#define BN_F_BN_GF2M_MOD_SQRT                137
769#define BN_F_BN_MOD_EXP2_MONT                118
770#define BN_F_BN_MOD_EXP_MONT                 109
771#define BN_F_BN_MOD_EXP_MONT_CONSTTIME           124
772#define BN_F_BN_MOD_EXP_MONT_WORD            117
773#define BN_F_BN_MOD_EXP_RECP                 125
774#define BN_F_BN_MOD_EXP_SIMPLE               126
775#define BN_F_BN_MOD_INVERSE              110
776#define BN_F_BN_MOD_LSHIFT_QUICK             119
777#define BN_F_BN_MOD_MUL_RECIPROCAL           111
778#define BN_F_BN_MOD_SQRT                 121
779#define BN_F_BN_MPI2BN                   112
780#define BN_F_BN_NEW                  113
781#define BN_F_BN_RAND                     114
782#define BN_F_BN_RAND_RANGE               122
783#define BN_F_BN_USUB                     115
784
785/* Reason codes. */
786#define BN_R_ARG2_LT_ARG3                100
787#define BN_R_BAD_RECIPROCAL              101
788#define BN_R_BIGNUM_TOO_LONG                 114
789#define BN_R_CALLED_WITH_EVEN_MODULUS            102
790#define BN_R_DIV_BY_ZERO                 103
791#define BN_R_ENCODING_ERROR              104
792#define BN_R_EXPAND_ON_STATIC_BIGNUM_DATA        105
793#define BN_R_INPUT_NOT_REDUCED               110
794#define BN_R_INVALID_LENGTH              106
795#define BN_R_INVALID_RANGE               115
796#define BN_R_NOT_A_SQUARE                111
797#define BN_R_NOT_INITIALIZED                 107
798#define BN_R_NO_INVERSE                  108
799#define BN_R_NO_SOLUTION                 116
800#define BN_R_P_IS_NOT_PRIME              112
801#define BN_R_TOO_MANY_ITERATIONS             113
802#define BN_R_TOO_MANY_TEMPORARY_VARIABLES        109
803
804#ifdef  __cplusplus
805}
806#endif
807#endif
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