PolarSSL v1.2.12
bignum.h
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1 
27 #ifndef POLARSSL_BIGNUM_H
28 #define POLARSSL_BIGNUM_H
29 
30 #include <stdio.h>
31 #include <string.h>
32 
33 #include "config.h"
34 
35 #ifdef _MSC_VER
36 #include <basetsd.h>
37 #if (_MSC_VER <= 1200)
38 typedef signed short int16_t;
39 typedef unsigned short uint16_t;
40 #else
41 typedef INT16 int16_t;
42 typedef UINT16 uint16_t;
43 #endif
44 typedef INT32 int32_t;
45 typedef INT64 int64_t;
46 typedef UINT32 uint32_t;
47 typedef UINT64 uint64_t;
48 #else
49 #include <inttypes.h>
50 #endif
51 
52 #define POLARSSL_ERR_MPI_FILE_IO_ERROR -0x0002
53 #define POLARSSL_ERR_MPI_BAD_INPUT_DATA -0x0004
54 #define POLARSSL_ERR_MPI_INVALID_CHARACTER -0x0006
55 #define POLARSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008
56 #define POLARSSL_ERR_MPI_NEGATIVE_VALUE -0x000A
57 #define POLARSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C
58 #define POLARSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E
59 #define POLARSSL_ERR_MPI_MALLOC_FAILED -0x0010
61 #define MPI_CHK(f) if( ( ret = f ) != 0 ) goto cleanup
62 
63 /*
64  * Maximum size MPIs are allowed to grow to in number of limbs.
65  */
66 #define POLARSSL_MPI_MAX_LIMBS 10000
67 
68 #if !defined(POLARSSL_CONFIG_OPTIONS)
69 /*
70  * Maximum window size used for modular exponentiation. Default: 6
71  * Minimum value: 1. Maximum value: 6.
72  *
73  * Result is an array of ( 2 << POLARSSL_MPI_WINDOW_SIZE ) MPIs used
74  * for the sliding window calculation. (So 64 by default)
75  *
76  * Reduction in size, reduces speed.
77  */
78 #define POLARSSL_MPI_WINDOW_SIZE 6
80 /*
81  * Maximum size of MPIs allowed in bits and bytes for user-MPIs.
82  * ( Default: 512 bytes => 4096 bits, Maximum tested: 2048 bytes => 16384 bits )
83  *
84  * Note: Calculations can results temporarily in larger MPIs. So the number
85  * of limbs required (POLARSSL_MPI_MAX_LIMBS) is higher.
86  */
87 #define POLARSSL_MPI_MAX_SIZE 512
89 #endif /* !POLARSSL_CONFIG_OPTIONS */
90 
91 #define POLARSSL_MPI_MAX_BITS ( 8 * POLARSSL_MPI_MAX_SIZE )
93 /*
94  * When reading from files with mpi_read_file() and writing to files with
95  * mpi_write_file() the buffer should have space
96  * for a (short) label, the MPI (in the provided radix), the newline
97  * characters and the '\0'.
98  *
99  * By default we assume at least a 10 char label, a minimum radix of 10
100  * (decimal) and a maximum of 4096 bit numbers (1234 decimal chars).
101  * Autosized at compile time for at least a 10 char label, a minimum radix
102  * of 10 (decimal) for a number of POLARSSL_MPI_MAX_BITS size.
103  *
104  * This used to be statically sized to 1250 for a maximum of 4096 bit
105  * numbers (1234 decimal chars).
106  *
107  * Calculate using the formula:
108  * POLARSSL_MPI_RW_BUFFER_SIZE = ceil(POLARSSL_MPI_MAX_BITS / ln(10) * ln(2)) +
109  * LabelSize + 6
110  */
111 #define POLARSSL_MPI_MAX_BITS_SCALE100 ( 100 * POLARSSL_MPI_MAX_BITS )
112 #define LN_2_DIV_LN_10_SCALE100 332
113 #define POLARSSL_MPI_RW_BUFFER_SIZE ( ((POLARSSL_MPI_MAX_BITS_SCALE100 + LN_2_DIV_LN_10_SCALE100 - 1) / LN_2_DIV_LN_10_SCALE100) + 10 + 6 )
114 
115 /*
116  * Define the base integer type, architecture-wise
117  */
118 #if defined(POLARSSL_HAVE_INT8)
119 typedef signed char t_sint;
120 typedef unsigned char t_uint;
121 typedef uint16_t t_udbl;
122 #define POLARSSL_HAVE_UDBL
123 #else
124 #if defined(POLARSSL_HAVE_INT16)
125 typedef int16_t t_sint;
126 typedef uint16_t t_uint;
127 typedef uint32_t t_udbl;
128 #define POLARSSL_HAVE_UDBL
129 #else
130  #if ( defined(_MSC_VER) && defined(_M_AMD64) )
131  typedef int64_t t_sint;
132  typedef uint64_t t_uint;
133  #else
134  #if ( defined(__GNUC__) && ( \
135  defined(__amd64__) || defined(__x86_64__) || \
136  defined(__ppc64__) || defined(__powerpc64__) || \
137  defined(__ia64__) || defined(__alpha__) || \
138  (defined(__sparc__) && defined(__arch64__)) || \
139  defined(__s390x__) ) )
140  typedef int64_t t_sint;
141  typedef uint64_t t_uint;
142  typedef unsigned int t_udbl __attribute__((mode(TI)));
143  #define POLARSSL_HAVE_UDBL
144  #else
145  typedef int32_t t_sint;
146  typedef uint32_t t_uint;
147  #if ( defined(_MSC_VER) && defined(_M_IX86) )
148  typedef uint64_t t_udbl;
149  #define POLARSSL_HAVE_UDBL
150  #else
151  #if defined( POLARSSL_HAVE_LONGLONG )
152  typedef unsigned long long t_udbl;
153  #define POLARSSL_HAVE_UDBL
154  #endif
155  #endif
156  #endif
157  #endif
158 #endif /* POLARSSL_HAVE_INT16 */
159 #endif /* POLARSSL_HAVE_INT8 */
160 
164 typedef struct
165 {
166  int s;
167  size_t n;
168  t_uint *p;
169 }
170 mpi;
171 
172 #ifdef __cplusplus
173 extern "C" {
174 #endif
175 
181 void mpi_init( mpi *X );
182 
188 void mpi_free( mpi *X );
189 
199 int mpi_grow( mpi *X, size_t nblimbs );
200 
210 int mpi_copy( mpi *X, const mpi *Y );
211 
218 void mpi_swap( mpi *X, mpi *Y );
219 
229 int mpi_lset( mpi *X, t_sint z );
230 
239 int mpi_get_bit( const mpi *X, size_t pos );
240 
255 int mpi_set_bit( mpi *X, size_t pos, unsigned char val );
256 
265 size_t mpi_lsb( const mpi *X );
266 
275 size_t mpi_msb( const mpi *X );
276 
282 size_t mpi_size( const mpi *X );
283 
293 int mpi_read_string( mpi *X, int radix, const char *s );
294 
310 int mpi_write_string( const mpi *X, int radix, char *s, size_t *slen );
311 
312 #if defined(POLARSSL_FS_IO)
313 
324 int mpi_read_file( mpi *X, int radix, FILE *fin );
325 
338 int mpi_write_file( const char *p, const mpi *X, int radix, FILE *fout );
339 #endif /* POLARSSL_FS_IO */
340 
351 int mpi_read_binary( mpi *X, const unsigned char *buf, size_t buflen );
352 
365 int mpi_write_binary( const mpi *X, unsigned char *buf, size_t buflen );
366 
376 int mpi_shift_l( mpi *X, size_t count );
377 
387 int mpi_shift_r( mpi *X, size_t count );
388 
399 int mpi_cmp_abs( const mpi *X, const mpi *Y );
400 
411 int mpi_cmp_mpi( const mpi *X, const mpi *Y );
412 
423 int mpi_cmp_int( const mpi *X, t_sint z );
424 
435 int mpi_add_abs( mpi *X, const mpi *A, const mpi *B );
436 
447 int mpi_sub_abs( mpi *X, const mpi *A, const mpi *B );
448 
459 int mpi_add_mpi( mpi *X, const mpi *A, const mpi *B );
460 
471 int mpi_sub_mpi( mpi *X, const mpi *A, const mpi *B );
472 
483 int mpi_add_int( mpi *X, const mpi *A, t_sint b );
484 
495 int mpi_sub_int( mpi *X, const mpi *A, t_sint b );
496 
507 int mpi_mul_mpi( mpi *X, const mpi *A, const mpi *B );
508 
522 int mpi_mul_int( mpi *X, const mpi *A, t_sint b );
523 
538 int mpi_div_mpi( mpi *Q, mpi *R, const mpi *A, const mpi *B );
539 
554 int mpi_div_int( mpi *Q, mpi *R, const mpi *A, t_sint b );
555 
568 int mpi_mod_mpi( mpi *R, const mpi *A, const mpi *B );
569 
582 int mpi_mod_int( t_uint *r, const mpi *A, t_sint b );
583 
602 int mpi_exp_mod( mpi *X, const mpi *A, const mpi *E, const mpi *N, mpi *_RR );
603 
615 int mpi_fill_random( mpi *X, size_t size,
616  int (*f_rng)(void *, unsigned char *, size_t),
617  void *p_rng );
618 
629 int mpi_gcd( mpi *G, const mpi *A, const mpi *B );
630 
643 int mpi_inv_mod( mpi *X, const mpi *A, const mpi *N );
644 
656 int mpi_is_prime( mpi *X,
657  int (*f_rng)(void *, unsigned char *, size_t),
658  void *p_rng );
659 
673 int mpi_gen_prime( mpi *X, size_t nbits, int dh_flag,
674  int (*f_rng)(void *, unsigned char *, size_t),
675  void *p_rng );
676 
682 int mpi_self_test( int verbose );
683 
684 #ifdef __cplusplus
685 }
686 #endif
687 
688 #endif /* bignum.h */