/[rdesktop]/sourceforge.net/trunk/rdesktop/crypto/bn.h
This is repository of my old source code which isn't updated any more. Go to git.rot13.org for current projects!
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Annotation of /sourceforge.net/trunk/rdesktop/crypto/bn.h

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Revision 36 - (hide annotations)
Sat Sep 15 14:30:46 2001 UTC (22 years, 8 months ago) by matty
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File size: 17484 byte(s)
OSF1/Alpha build fixes.

1 matty 32 /* 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 NO_FP_API
63     #include <stdio.h> /* FILE */
64     #endif
65    
66     #ifdef __cplusplus
67     extern "C" {
68     #endif
69    
70     #define BNerr(context,err) error("crypto error\n");
71     #define OPENSSL_malloc(size) xmalloc(size)
72     #define OPENSSL_free(ptr) xfree(ptr);
73    
74     /* Only one for the following should be defined */
75     /* The prime number generation stuff may not work when
76     * EIGHT_BIT but I don't care since I've only used this mode
77     * for debuging the bignum libraries */
78 matty 36 #if defined(__alpha__) || defined(__ia64__)
79     #define SIXTY_FOUR_BIT_LONG
80     #elseif defined(__mips__)
81     #define SIXTY_FOUR_BIT
82     #else
83 matty 32 #define THIRTY_TWO_BIT
84 matty 36 #endif
85 matty 32
86     #undef BN_LLONG
87     #undef BN_MUL_COMBA
88     #undef BN_SQR_COMBA
89     #undef BN_RECURSION
90     #undef RECP_MUL_MOD
91     #undef MONT_MUL_MOD
92    
93     /* This next option uses the C libraries (2 word)/(1 word) function.
94     * If it is not defined, I use my C version (which is slower).
95     * The reason for this flag is that when the particular C compiler
96     * library routine is used, and the library is linked with a different
97     * compiler, the library is missing. This mostly happens when the
98     * library is built with gcc and then linked using normal cc. This would
99     * be a common occurrence because gcc normally produces code that is
100     * 2 times faster than system compilers for the big number stuff.
101     * For machines with only one compiler (or shared libraries), this should
102     * be on. Again this in only really a problem on machines
103     * using "long long's", are 32bit, and are not using my assembler code. */
104     #if defined(MSDOS) || defined(WINDOWS) || defined(WIN32) || defined(linux)
105     #define BN_DIV2W
106     #endif
107    
108     /* assuming long is 64bit - this is the DEC Alpha
109     * unsigned long long is only 64 bits :-(, don't define
110     * BN_LLONG for the DEC Alpha */
111     #ifdef SIXTY_FOUR_BIT_LONG
112     #define BN_ULLONG unsigned long long
113     #define BN_ULONG unsigned long
114     #define BN_LONG long
115     #define BN_BITS 128
116     #define BN_BYTES 8
117     #define BN_BITS2 64
118     #define BN_BITS4 32
119     #define BN_MASK (0xffffffffffffffffffffffffffffffffLL)
120     #define BN_MASK2 (0xffffffffffffffffL)
121     #define BN_MASK2l (0xffffffffL)
122     #define BN_MASK2h (0xffffffff00000000L)
123     #define BN_MASK2h1 (0xffffffff80000000L)
124     #define BN_TBIT (0x8000000000000000L)
125     #define BN_DEC_CONV (10000000000000000000UL)
126     #define BN_DEC_FMT1 "%lu"
127     #define BN_DEC_FMT2 "%019lu"
128     #define BN_DEC_NUM 19
129     #endif
130    
131     /* This is where the long long data type is 64 bits, but long is 32.
132     * For machines where there are 64bit registers, this is the mode to use.
133     * IRIX, on R4000 and above should use this mode, along with the relevant
134     * assembler code :-). Do NOT define BN_LLONG.
135     */
136     #ifdef SIXTY_FOUR_BIT
137     #undef BN_LLONG
138     #undef BN_ULLONG
139     #define BN_ULONG unsigned long long
140     #define BN_LONG long long
141     #define BN_BITS 128
142     #define BN_BYTES 8
143     #define BN_BITS2 64
144     #define BN_BITS4 32
145     #define BN_MASK2 (0xffffffffffffffffLL)
146     #define BN_MASK2l (0xffffffffL)
147     #define BN_MASK2h (0xffffffff00000000LL)
148     #define BN_MASK2h1 (0xffffffff80000000LL)
149     #define BN_TBIT (0x8000000000000000LL)
150     #define BN_DEC_CONV (10000000000000000000LL)
151     #define BN_DEC_FMT1 "%llu"
152     #define BN_DEC_FMT2 "%019llu"
153     #define BN_DEC_NUM 19
154     #endif
155    
156     #ifdef THIRTY_TWO_BIT
157     #if defined(WIN32) && !defined(__GNUC__)
158     #define BN_ULLONG unsigned _int64
159     #else
160     #define BN_ULLONG unsigned long long
161     #endif
162     #define BN_ULONG unsigned long
163     #define BN_LONG long
164     #define BN_BITS 64
165     #define BN_BYTES 4
166     #define BN_BITS2 32
167     #define BN_BITS4 16
168     #ifdef WIN32
169     /* VC++ doesn't like the LL suffix */
170     #define BN_MASK (0xffffffffffffffffL)
171     #else
172     #define BN_MASK (0xffffffffffffffffLL)
173     #endif
174     #define BN_MASK2 (0xffffffffL)
175     #define BN_MASK2l (0xffff)
176     #define BN_MASK2h1 (0xffff8000L)
177     #define BN_MASK2h (0xffff0000L)
178     #define BN_TBIT (0x80000000L)
179     #define BN_DEC_CONV (1000000000L)
180     #define BN_DEC_FMT1 "%lu"
181     #define BN_DEC_FMT2 "%09lu"
182     #define BN_DEC_NUM 9
183     #endif
184    
185     #ifdef SIXTEEN_BIT
186     #ifndef BN_DIV2W
187     #define BN_DIV2W
188     #endif
189     #define BN_ULLONG unsigned long
190     #define BN_ULONG unsigned short
191     #define BN_LONG short
192     #define BN_BITS 32
193     #define BN_BYTES 2
194     #define BN_BITS2 16
195     #define BN_BITS4 8
196     #define BN_MASK (0xffffffff)
197     #define BN_MASK2 (0xffff)
198     #define BN_MASK2l (0xff)
199     #define BN_MASK2h1 (0xff80)
200     #define BN_MASK2h (0xff00)
201     #define BN_TBIT (0x8000)
202     #define BN_DEC_CONV (100000)
203     #define BN_DEC_FMT1 "%u"
204     #define BN_DEC_FMT2 "%05u"
205     #define BN_DEC_NUM 5
206     #endif
207    
208     #ifdef EIGHT_BIT
209     #ifndef BN_DIV2W
210     #define BN_DIV2W
211     #endif
212     #define BN_ULLONG unsigned short
213     #define BN_ULONG unsigned char
214     #define BN_LONG char
215     #define BN_BITS 16
216     #define BN_BYTES 1
217     #define BN_BITS2 8
218     #define BN_BITS4 4
219     #define BN_MASK (0xffff)
220     #define BN_MASK2 (0xff)
221     #define BN_MASK2l (0xf)
222     #define BN_MASK2h1 (0xf8)
223     #define BN_MASK2h (0xf0)
224     #define BN_TBIT (0x80)
225     #define BN_DEC_CONV (100)
226     #define BN_DEC_FMT1 "%u"
227     #define BN_DEC_FMT2 "%02u"
228     #define BN_DEC_NUM 2
229     #endif
230    
231     #define BN_DEFAULT_BITS 1280
232    
233     #ifdef BIGNUM
234     #undef BIGNUM
235     #endif
236    
237     #define BN_FLG_MALLOCED 0x01
238     #define BN_FLG_STATIC_DATA 0x02
239     #define BN_FLG_FREE 0x8000 /* used for debuging */
240     #define BN_set_flags(b,n) ((b)->flags|=(n))
241     #define BN_get_flags(b,n) ((b)->flags&(n))
242    
243     typedef struct bignum_st
244     {
245     BN_ULONG *d; /* Pointer to an array of 'BN_BITS2' bit chunks. */
246     int top; /* Index of last used d +1. */
247     /* The next are internal book keeping for bn_expand. */
248     int dmax; /* Size of the d array. */
249     int neg; /* one if the number is negative */
250     int flags;
251     } BIGNUM;
252    
253     /* Used for temp variables */
254     #define BN_CTX_NUM 16
255     #define BN_CTX_NUM_POS 12
256     typedef struct bignum_ctx
257     {
258     int tos;
259     BIGNUM bn[BN_CTX_NUM];
260     int flags;
261     int depth;
262     int pos[BN_CTX_NUM_POS];
263     int too_many;
264     } BN_CTX;
265    
266     typedef struct bn_blinding_st
267     {
268     int init;
269     BIGNUM *A;
270     BIGNUM *Ai;
271     BIGNUM *mod; /* just a reference */
272     } BN_BLINDING;
273    
274     /* Used for montgomery multiplication */
275     typedef struct bn_mont_ctx_st
276     {
277     int ri; /* number of bits in R */
278     BIGNUM RR; /* used to convert to montgomery form */
279     BIGNUM N; /* The modulus */
280     BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1
281     * (Ni is only stored for bignum algorithm) */
282     BN_ULONG n0; /* least significant word of Ni */
283     int flags;
284     } BN_MONT_CTX;
285    
286     /* Used for reciprocal division/mod functions
287     * It cannot be shared between threads
288     */
289     typedef struct bn_recp_ctx_st
290     {
291     BIGNUM N; /* the divisor */
292     BIGNUM Nr; /* the reciprocal */
293     int num_bits;
294     int shift;
295     int flags;
296     } BN_RECP_CTX;
297    
298     #define BN_to_montgomery(r,a,mont,ctx) BN_mod_mul_montgomery(\
299     r,a,&((mont)->RR),(mont),ctx)
300    
301     #define BN_prime_checks 0 /* default: select number of iterations
302     based on the size of the number */
303    
304     /* number of Miller-Rabin iterations for an error rate of less than 2^-80
305     * for random 'b'-bit input, b >= 100 (taken from table 4.4 in the Handbook
306     * of Applied Cryptography [Menezes, van Oorschot, Vanstone; CRC Press 1996];
307     * original paper: Damgaard, Landrock, Pomerance: Average case error estimates
308     * for the strong probable prime test. -- Math. Comp. 61 (1993) 177-194) */
309     #define BN_prime_checks_for_size(b) ((b) >= 1300 ? 2 : \
310     (b) >= 850 ? 3 : \
311     (b) >= 650 ? 4 : \
312     (b) >= 550 ? 5 : \
313     (b) >= 450 ? 6 : \
314     (b) >= 400 ? 7 : \
315     (b) >= 350 ? 8 : \
316     (b) >= 300 ? 9 : \
317     (b) >= 250 ? 12 : \
318     (b) >= 200 ? 15 : \
319     (b) >= 150 ? 18 : \
320     /* b >= 100 */ 27)
321    
322     #define BN_num_bytes(a) ((BN_num_bits(a)+7)/8)
323     #define BN_is_word(a,w) (((a)->top == 1) && ((a)->d[0] == (BN_ULONG)(w)))
324     #define BN_is_zero(a) (((a)->top == 0) || BN_is_word(a,0))
325     #define BN_is_one(a) (BN_is_word((a),1))
326     #define BN_is_odd(a) (((a)->top > 0) && ((a)->d[0] & 1))
327     #define BN_one(a) (BN_set_word((a),1))
328     #define BN_zero(a) (BN_set_word((a),0))
329    
330     /*#define BN_ascii2bn(a) BN_hex2bn(a) */
331     /*#define BN_bn2ascii(a) BN_bn2hex(a) */
332    
333     BIGNUM *BN_value_one(void);
334     char * BN_options(void);
335     BN_CTX *BN_CTX_new(void);
336     void BN_CTX_init(BN_CTX *c);
337     void BN_CTX_free(BN_CTX *c);
338     void BN_CTX_start(BN_CTX *ctx);
339     BIGNUM *BN_CTX_get(BN_CTX *ctx);
340     void BN_CTX_end(BN_CTX *ctx);
341     int BN_rand(BIGNUM *rnd, int bits, int top,int bottom);
342     int BN_pseudo_rand(BIGNUM *rnd, int bits, int top,int bottom);
343     int BN_rand_range(BIGNUM *rnd, BIGNUM *range);
344     int BN_num_bits(const BIGNUM *a);
345     int BN_num_bits_word(BN_ULONG);
346     BIGNUM *BN_new(void);
347     void BN_init(BIGNUM *);
348     void BN_clear_free(BIGNUM *a);
349     BIGNUM *BN_copy(BIGNUM *a, const BIGNUM *b);
350     BIGNUM *BN_bin2bn(const unsigned char *s,int len,BIGNUM *ret);
351     int BN_bn2bin(const BIGNUM *a, unsigned char *to);
352     BIGNUM *BN_mpi2bn(unsigned char *s,int len,BIGNUM *ret);
353     int BN_bn2mpi(const BIGNUM *a, unsigned char *to);
354     int BN_sub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
355     int BN_usub(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
356     int BN_uadd(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
357     int BN_add(BIGNUM *r, const BIGNUM *a, const BIGNUM *b);
358     int BN_mod(BIGNUM *rem, const BIGNUM *m, const BIGNUM *d, BN_CTX *ctx);
359     int BN_div(BIGNUM *dv, BIGNUM *rem, const BIGNUM *m, const BIGNUM *d,
360     BN_CTX *ctx);
361     int BN_mul(BIGNUM *r, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
362     int BN_sqr(BIGNUM *r, BIGNUM *a,BN_CTX *ctx);
363     BN_ULONG BN_mod_word(const BIGNUM *a, BN_ULONG w);
364     BN_ULONG BN_div_word(BIGNUM *a, BN_ULONG w);
365     int BN_mul_word(BIGNUM *a, BN_ULONG w);
366     int BN_add_word(BIGNUM *a, BN_ULONG w);
367     int BN_sub_word(BIGNUM *a, BN_ULONG w);
368     int BN_set_word(BIGNUM *a, BN_ULONG w);
369     BN_ULONG BN_get_word(BIGNUM *a);
370     int BN_cmp(const BIGNUM *a, const BIGNUM *b);
371     void BN_free(BIGNUM *a);
372     int BN_is_bit_set(const BIGNUM *a, int n);
373     int BN_lshift(BIGNUM *r, const BIGNUM *a, int n);
374     int BN_lshift1(BIGNUM *r, BIGNUM *a);
375     int BN_exp(BIGNUM *r, BIGNUM *a, BIGNUM *p,BN_CTX *ctx);
376     int BN_mod_exp(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
377     const BIGNUM *m,BN_CTX *ctx);
378     int BN_mod_exp_mont(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
379     const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
380     int BN_mod_exp_mont_word(BIGNUM *r, BN_ULONG a, const BIGNUM *p,
381     const BIGNUM *m, BN_CTX *ctx, BN_MONT_CTX *m_ctx);
382     int BN_mod_exp2_mont(BIGNUM *r, BIGNUM *a1, BIGNUM *p1,BIGNUM *a2,
383     BIGNUM *p2,BIGNUM *m,BN_CTX *ctx,BN_MONT_CTX *m_ctx);
384 matty 33 int BN_mod_exp_simple(BIGNUM *r, BIGNUM *a, const BIGNUM *p,
385     const BIGNUM *m,BN_CTX *ctx);
386 matty 32 int BN_mask_bits(BIGNUM *a,int n);
387     int BN_mod_mul(BIGNUM *ret, BIGNUM *a, BIGNUM *b, const BIGNUM *m, BN_CTX *ctx);
388     #ifndef NO_FP_API
389     int BN_print_fp(FILE *fp, const BIGNUM *a);
390     #endif
391     #ifdef HEADER_BIO_H
392     int BN_print(BIO *fp, const BIGNUM *a);
393     #else
394     int BN_print(void *fp, const BIGNUM *a);
395     #endif
396     int BN_reciprocal(BIGNUM *r, BIGNUM *m, int len, BN_CTX *ctx);
397     int BN_rshift(BIGNUM *r, BIGNUM *a, int n);
398     int BN_rshift1(BIGNUM *r, BIGNUM *a);
399     void BN_clear(BIGNUM *a);
400     BIGNUM *BN_dup(const BIGNUM *a);
401     int BN_ucmp(const BIGNUM *a, const BIGNUM *b);
402     int BN_set_bit(BIGNUM *a, int n);
403     int BN_clear_bit(BIGNUM *a, int n);
404     char * BN_bn2hex(const BIGNUM *a);
405     char * BN_bn2dec(const BIGNUM *a);
406     int BN_hex2bn(BIGNUM **a, const char *str);
407     int BN_dec2bn(BIGNUM **a, const char *str);
408     int BN_gcd(BIGNUM *r,BIGNUM *in_a,BIGNUM *in_b,BN_CTX *ctx);
409     BIGNUM *BN_mod_inverse(BIGNUM *ret,BIGNUM *a, const BIGNUM *n,BN_CTX *ctx);
410     BIGNUM *BN_generate_prime(BIGNUM *ret,int bits,int safe,BIGNUM *add,
411     BIGNUM *rem,void (*callback)(int,int,void *),void *cb_arg);
412     int BN_is_prime(const BIGNUM *p,int nchecks,
413     void (*callback)(int,int,void *),
414     BN_CTX *ctx,void *cb_arg);
415     int BN_is_prime_fasttest(const BIGNUM *p,int nchecks,
416     void (*callback)(int,int,void *),BN_CTX *ctx,void *cb_arg,
417     int do_trial_division);
418     void ERR_load_BN_strings(void );
419    
420     BN_MONT_CTX *BN_MONT_CTX_new(void );
421     void BN_MONT_CTX_init(BN_MONT_CTX *ctx);
422     int BN_mod_mul_montgomery(BIGNUM *r,BIGNUM *a,BIGNUM *b,BN_MONT_CTX *mont,
423     BN_CTX *ctx);
424     int BN_from_montgomery(BIGNUM *r,BIGNUM *a,BN_MONT_CTX *mont,BN_CTX *ctx);
425     void BN_MONT_CTX_free(BN_MONT_CTX *mont);
426     int BN_MONT_CTX_set(BN_MONT_CTX *mont,const BIGNUM *modulus,BN_CTX *ctx);
427     BN_MONT_CTX *BN_MONT_CTX_copy(BN_MONT_CTX *to,BN_MONT_CTX *from);
428    
429     BN_BLINDING *BN_BLINDING_new(BIGNUM *A,BIGNUM *Ai,BIGNUM *mod);
430     void BN_BLINDING_free(BN_BLINDING *b);
431     int BN_BLINDING_update(BN_BLINDING *b,BN_CTX *ctx);
432     int BN_BLINDING_convert(BIGNUM *n, BN_BLINDING *r, BN_CTX *ctx);
433     int BN_BLINDING_invert(BIGNUM *n, BN_BLINDING *b, BN_CTX *ctx);
434    
435     void BN_set_params(int mul,int high,int low,int mont);
436     int BN_get_params(int which); /* 0, mul, 1 high, 2 low, 3 mont */
437    
438     void BN_RECP_CTX_init(BN_RECP_CTX *recp);
439     BN_RECP_CTX *BN_RECP_CTX_new(void);
440     void BN_RECP_CTX_free(BN_RECP_CTX *recp);
441     int BN_RECP_CTX_set(BN_RECP_CTX *recp,const BIGNUM *rdiv,BN_CTX *ctx);
442     int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *x, BIGNUM *y,
443     BN_RECP_CTX *recp,BN_CTX *ctx);
444     int BN_mod_exp_recp(BIGNUM *r, const BIGNUM *a, const BIGNUM *p,
445     const 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     /* library internal functions */
450    
451     #define bn_expand(a,bits) ((((((bits+BN_BITS2-1))/BN_BITS2)) <= (a)->dmax)?\
452     (a):bn_expand2((a),(bits)/BN_BITS2+1))
453     #define bn_wexpand(a,words) (((words) <= (a)->dmax)?(a):bn_expand2((a),(words)))
454     BIGNUM *bn_expand2(BIGNUM *a, int words);
455    
456     #define bn_fix_top(a) \
457     { \
458     BN_ULONG *ftl; \
459     if ((a)->top > 0) \
460     { \
461     for (ftl= &((a)->d[(a)->top-1]); (a)->top > 0; (a)->top--) \
462     if (*(ftl--)) break; \
463     } \
464     }
465    
466     BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
467     BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w);
468     void bn_sqr_words(BN_ULONG *rp, BN_ULONG *ap, int num);
469     BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d);
470     BN_ULONG bn_add_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
471     BN_ULONG bn_sub_words(BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int num);
472    
473     #ifdef BN_DEBUG
474     void bn_dump1(FILE *o, const char *a, BN_ULONG *b,int n);
475     # define bn_print(a) {fprintf(stderr, #a "="); BN_print_fp(stderr,a); \
476     fprintf(stderr,"\n");}
477     # define bn_dump(a,n) bn_dump1(stderr,#a,a,n);
478     #else
479     # define bn_print(a)
480     # define bn_dump(a,b)
481     #endif
482    
483     int BN_bntest_rand(BIGNUM *rnd, int bits, int top,int bottom);
484    
485     #ifdef __cplusplus
486     }
487     #endif
488     #endif
489    

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