mbed TLS v2.23.0

bignum.h
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1
6 /*
7 * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
8 * SPDX-License-Identifier: Apache-2.0
9 *
10 * Licensed under the Apache License, Version 2.0 (the "License"); you may
11 * not use this file except in compliance with the License.
12 * You may obtain a copy of the License at
13 *
14 * http://www.apache.org/licenses/LICENSE-2.0
15 *
16 * Unless required by applicable law or agreed to in writing, software
17 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
18 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
19 * See the License for the specific language governing permissions and
20 * limitations under the License.
21 *
22 * This file is part of mbed TLS (https://tls.mbed.org)
23 */
24 #ifndef MBEDTLS_BIGNUM_H
25 #define MBEDTLS_BIGNUM_H
26
27 #if !defined(MBEDTLS_CONFIG_FILE)
28 #include "mbedtls/config.h"
29 #else
30 #include MBEDTLS_CONFIG_FILE
31 #endif
32
33 #include <stddef.h>
34 #include <stdint.h>
35
36 #if defined(MBEDTLS_FS_IO)
37 #include <stdio.h>
38 #endif
39
40 #define MBEDTLS_ERR_MPI_FILE_IO_ERROR -0x0002
41 #define MBEDTLS_ERR_MPI_BAD_INPUT_DATA -0x0004
42 #define MBEDTLS_ERR_MPI_INVALID_CHARACTER -0x0006
43 #define MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL -0x0008
44 #define MBEDTLS_ERR_MPI_NEGATIVE_VALUE -0x000A
45 #define MBEDTLS_ERR_MPI_DIVISION_BY_ZERO -0x000C
46 #define MBEDTLS_ERR_MPI_NOT_ACCEPTABLE -0x000E
47 #define MBEDTLS_ERR_MPI_ALLOC_FAILED -0x0010
49 #define MBEDTLS_MPI_CHK(f) \
50 do \
51 { \
52 if( ( ret = (f) ) != 0 ) \
53 goto cleanup; \
54 } while( 0 )
55
56 /*
57 * Maximum size MPIs are allowed to grow to in number of limbs.
58 */
59 #define MBEDTLS_MPI_MAX_LIMBS 10000
60
61 #if !defined(MBEDTLS_MPI_WINDOW_SIZE)
62 /*
63 * Maximum window size used for modular exponentiation. Default: 6
64 * Minimum value: 1. Maximum value: 6.
65 *
66 * Result is an array of ( 2 << MBEDTLS_MPI_WINDOW_SIZE ) MPIs used
67 * for the sliding window calculation. (So 64 by default)
68 *
69 * Reduction in size, reduces speed.
70 */
71 #define MBEDTLS_MPI_WINDOW_SIZE 6
72 #endif /* !MBEDTLS_MPI_WINDOW_SIZE */
73
74 #if !defined(MBEDTLS_MPI_MAX_SIZE)
75 /*
76 * Maximum size of MPIs allowed in bits and bytes for user-MPIs.
77 * ( Default: 512 bytes => 4096 bits, Maximum tested: 2048 bytes => 16384 bits )
78 *
79 * Note: Calculations can temporarily result in larger MPIs. So the number
80 * of limbs required (MBEDTLS_MPI_MAX_LIMBS) is higher.
81 */
82 #define MBEDTLS_MPI_MAX_SIZE 1024
83 #endif /* !MBEDTLS_MPI_MAX_SIZE */
84
85 #define MBEDTLS_MPI_MAX_BITS ( 8 * MBEDTLS_MPI_MAX_SIZE )
87 /*
88 * When reading from files with mbedtls_mpi_read_file() and writing to files with
89 * mbedtls_mpi_write_file() the buffer should have space
90 * for a (short) label, the MPI (in the provided radix), the newline
91 * characters and the '\0'.
92 *
93 * By default we assume at least a 10 char label, a minimum radix of 10
94 * (decimal) and a maximum of 4096 bit numbers (1234 decimal chars).
95 * Autosized at compile time for at least a 10 char label, a minimum radix
96 * of 10 (decimal) for a number of MBEDTLS_MPI_MAX_BITS size.
97 *
98 * This used to be statically sized to 1250 for a maximum of 4096 bit
99 * numbers (1234 decimal chars).
100 *
101 * Calculate using the formula:
102 * MBEDTLS_MPI_RW_BUFFER_SIZE = ceil(MBEDTLS_MPI_MAX_BITS / ln(10) * ln(2)) +
103 * LabelSize + 6
104 */
105 #define MBEDTLS_MPI_MAX_BITS_SCALE100 ( 100 * MBEDTLS_MPI_MAX_BITS )
106 #define MBEDTLS_LN_2_DIV_LN_10_SCALE100 332
107 #define MBEDTLS_MPI_RW_BUFFER_SIZE ( ((MBEDTLS_MPI_MAX_BITS_SCALE100 + MBEDTLS_LN_2_DIV_LN_10_SCALE100 - 1) / MBEDTLS_LN_2_DIV_LN_10_SCALE100) + 10 + 6 )
108
109 /*
110 * Define the base integer type, architecture-wise.
111 *
112 * 32 or 64-bit integer types can be forced regardless of the underlying
113 * architecture by defining MBEDTLS_HAVE_INT32 or MBEDTLS_HAVE_INT64
114 * respectively and undefining MBEDTLS_HAVE_ASM.
115 *
116 * Double-width integers (e.g. 128-bit in 64-bit architectures) can be
117 * disabled by defining MBEDTLS_NO_UDBL_DIVISION.
118 */
119 #if !defined(MBEDTLS_HAVE_INT32)
120 #if defined(_MSC_VER) && defined(_M_AMD64)
121 /* Always choose 64-bit when using MSC */
122 #if !defined(MBEDTLS_HAVE_INT64)
123 #define MBEDTLS_HAVE_INT64
124 #endif /* !MBEDTLS_HAVE_INT64 */
125 typedef int64_t mbedtls_mpi_sint;
126 typedef uint64_t mbedtls_mpi_uint;
127 #elif defined(__GNUC__) && ( \
128 defined(__amd64__) || defined(__x86_64__) || \
129 defined(__ppc64__) || defined(__powerpc64__) || \
130 defined(__ia64__) || defined(__alpha__) || \
131 ( defined(__sparc__) && defined(__arch64__) ) || \
132 defined(__s390x__) || defined(__mips64) || \
133 defined(__aarch64__) )
134 #if !defined(MBEDTLS_HAVE_INT64)
135 #define MBEDTLS_HAVE_INT64
136 #endif /* MBEDTLS_HAVE_INT64 */
137 typedef int64_t mbedtls_mpi_sint;
138 typedef uint64_t mbedtls_mpi_uint;
139 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
140 /* mbedtls_t_udbl defined as 128-bit unsigned int */
141 typedef unsigned int mbedtls_t_udbl __attribute__((mode(TI)));
142 #define MBEDTLS_HAVE_UDBL
143 #endif /* !MBEDTLS_NO_UDBL_DIVISION */
144 #elif defined(__ARMCC_VERSION) && defined(__aarch64__)
145 /*
146 * __ARMCC_VERSION is defined for both armcc and armclang and
147 * __aarch64__ is only defined by armclang when compiling 64-bit code
148 */
149 #if !defined(MBEDTLS_HAVE_INT64)
150 #define MBEDTLS_HAVE_INT64
151 #endif /* !MBEDTLS_HAVE_INT64 */
152 typedef int64_t mbedtls_mpi_sint;
153 typedef uint64_t mbedtls_mpi_uint;
154 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
155 /* mbedtls_t_udbl defined as 128-bit unsigned int */
156 typedef __uint128_t mbedtls_t_udbl;
157 #define MBEDTLS_HAVE_UDBL
158 #endif /* !MBEDTLS_NO_UDBL_DIVISION */
159 #elif defined(MBEDTLS_HAVE_INT64)
160 /* Force 64-bit integers with unknown compiler */
161 typedef int64_t mbedtls_mpi_sint;
162 typedef uint64_t mbedtls_mpi_uint;
163 #endif
164 #endif /* !MBEDTLS_HAVE_INT32 */
165
166 #if !defined(MBEDTLS_HAVE_INT64)
167 /* Default to 32-bit compilation */
168 #if !defined(MBEDTLS_HAVE_INT32)
169 #define MBEDTLS_HAVE_INT32
170 #endif /* !MBEDTLS_HAVE_INT32 */
171 typedef int32_t mbedtls_mpi_sint;
172 typedef uint32_t mbedtls_mpi_uint;
173 #if !defined(MBEDTLS_NO_UDBL_DIVISION)
174 typedef uint64_t mbedtls_t_udbl;
175 #define MBEDTLS_HAVE_UDBL
176 #endif /* !MBEDTLS_NO_UDBL_DIVISION */
177 #endif /* !MBEDTLS_HAVE_INT64 */
178
179 #ifdef __cplusplus
180 extern "C" {
181 #endif
182
186 typedef struct mbedtls_mpi
187 {
188 int s;
189 size_t n;
190 mbedtls_mpi_uint *p;
191 }
192 mbedtls_mpi;
193
202 void mbedtls_mpi_init( mbedtls_mpi *X );
203
211 void mbedtls_mpi_free( mbedtls_mpi *X );
212
226 int mbedtls_mpi_grow( mbedtls_mpi *X, size_t nblimbs );
227
243 int mbedtls_mpi_shrink( mbedtls_mpi *X, size_t nblimbs );
244
258 int mbedtls_mpi_copy( mbedtls_mpi *X, const mbedtls_mpi *Y );
259
266 void mbedtls_mpi_swap( mbedtls_mpi *X, mbedtls_mpi *Y );
267
292 int mbedtls_mpi_safe_cond_assign( mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign );
293
317 int mbedtls_mpi_safe_cond_swap( mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char assign );
318
329 int mbedtls_mpi_lset( mbedtls_mpi *X, mbedtls_mpi_sint z );
330
341 int mbedtls_mpi_get_bit( const mbedtls_mpi *X, size_t pos );
342
358 int mbedtls_mpi_set_bit( mbedtls_mpi *X, size_t pos, unsigned char val );
359
372 size_t mbedtls_mpi_lsb( const mbedtls_mpi *X );
373
386 size_t mbedtls_mpi_bitlen( const mbedtls_mpi *X );
387
401 size_t mbedtls_mpi_size( const mbedtls_mpi *X );
402
413 int mbedtls_mpi_read_string( mbedtls_mpi *X, int radix, const char *s );
414
437 int mbedtls_mpi_write_string( const mbedtls_mpi *X, int radix,
438 char *buf, size_t buflen, size_t *olen );
439
440 #if defined(MBEDTLS_FS_IO)
441
462 int mbedtls_mpi_read_file( mbedtls_mpi *X, int radix, FILE *fin );
463
479 int mbedtls_mpi_write_file( const char *p, const mbedtls_mpi *X,
480 int radix, FILE *fout );
481 #endif /* MBEDTLS_FS_IO */
482
495 int mbedtls_mpi_read_binary( mbedtls_mpi *X, const unsigned char *buf,
496 size_t buflen );
497
510 int mbedtls_mpi_read_binary_le( mbedtls_mpi *X,
511 const unsigned char *buf, size_t buflen );
512
528 int mbedtls_mpi_write_binary( const mbedtls_mpi *X, unsigned char *buf,
529 size_t buflen );
530
546 int mbedtls_mpi_write_binary_le( const mbedtls_mpi *X,
547 unsigned char *buf, size_t buflen );
548
559 int mbedtls_mpi_shift_l( mbedtls_mpi *X, size_t count );
560
571 int mbedtls_mpi_shift_r( mbedtls_mpi *X, size_t count );
572
583 int mbedtls_mpi_cmp_abs( const mbedtls_mpi *X, const mbedtls_mpi *Y );
584
595 int mbedtls_mpi_cmp_mpi( const mbedtls_mpi *X, const mbedtls_mpi *Y );
596
612 int mbedtls_mpi_lt_mpi_ct( const mbedtls_mpi *X, const mbedtls_mpi *Y,
613 unsigned *ret );
614
625 int mbedtls_mpi_cmp_int( const mbedtls_mpi *X, mbedtls_mpi_sint z );
626
638 int mbedtls_mpi_add_abs( mbedtls_mpi *X, const mbedtls_mpi *A,
639 const mbedtls_mpi *B );
640
653 int mbedtls_mpi_sub_abs( mbedtls_mpi *X, const mbedtls_mpi *A,
654 const mbedtls_mpi *B );
655
667 int mbedtls_mpi_add_mpi( mbedtls_mpi *X, const mbedtls_mpi *A,
668 const mbedtls_mpi *B );
669
681 int mbedtls_mpi_sub_mpi( mbedtls_mpi *X, const mbedtls_mpi *A,
682 const mbedtls_mpi *B );
683
695 int mbedtls_mpi_add_int( mbedtls_mpi *X, const mbedtls_mpi *A,
696 mbedtls_mpi_sint b );
697
710 int mbedtls_mpi_sub_int( mbedtls_mpi *X, const mbedtls_mpi *A,
711 mbedtls_mpi_sint b );
712
725 int mbedtls_mpi_mul_mpi( mbedtls_mpi *X, const mbedtls_mpi *A,
726 const mbedtls_mpi *B );
727
741 int mbedtls_mpi_mul_int( mbedtls_mpi *X, const mbedtls_mpi *A,
742 mbedtls_mpi_uint b );
743
762 int mbedtls_mpi_div_mpi( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A,
763 const mbedtls_mpi *B );
764
783 int mbedtls_mpi_div_int( mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A,
784 mbedtls_mpi_sint b );
785
803 int mbedtls_mpi_mod_mpi( mbedtls_mpi *R, const mbedtls_mpi *A,
804 const mbedtls_mpi *B );
805
822 int mbedtls_mpi_mod_int( mbedtls_mpi_uint *r, const mbedtls_mpi *A,
823 mbedtls_mpi_sint b );
824
851 int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
852 const mbedtls_mpi *E, const mbedtls_mpi *N,
853 mbedtls_mpi *_RR );
854
872 int mbedtls_mpi_fill_random( mbedtls_mpi *X, size_t size,
873 int (*f_rng)(void *, unsigned char *, size_t),
874 void *p_rng );
875
887 int mbedtls_mpi_gcd( mbedtls_mpi *G, const mbedtls_mpi *A,
888 const mbedtls_mpi *B );
889
906 int mbedtls_mpi_inv_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
907 const mbedtls_mpi *N );
908
909 #if !defined(MBEDTLS_DEPRECATED_REMOVED)
910 #if defined(MBEDTLS_DEPRECATED_WARNING)
911 #define MBEDTLS_DEPRECATED __attribute__((deprecated))
912 #else
913 #define MBEDTLS_DEPRECATED
914 #endif
915
934 MBEDTLS_DEPRECATED int mbedtls_mpi_is_prime( const mbedtls_mpi *X,
935 int (*f_rng)(void *, unsigned char *, size_t),
936 void *p_rng );
937 #undef MBEDTLS_DEPRECATED
938 #endif /* !MBEDTLS_DEPRECATED_REMOVED */
939
967 int mbedtls_mpi_is_prime_ext( const mbedtls_mpi *X, int rounds,
968 int (*f_rng)(void *, unsigned char *, size_t),
969 void *p_rng );
976 typedef enum {
977 MBEDTLS_MPI_GEN_PRIME_FLAG_DH = 0x0001,
978 MBEDTLS_MPI_GEN_PRIME_FLAG_LOW_ERR = 0x0002,
979 } mbedtls_mpi_gen_prime_flag_t;
980
1000 int mbedtls_mpi_gen_prime( mbedtls_mpi *X, size_t nbits, int flags,
1001 int (*f_rng)(void *, unsigned char *, size_t),
1002 void *p_rng );
1003
1004 #if defined(MBEDTLS_SELF_TEST)
1005
1011 int mbedtls_mpi_self_test( int verbose );
1012
1013 #endif /* MBEDTLS_SELF_TEST */
1014
1015 #ifdef __cplusplus
1016 }
1017 #endif
1018
1019 #endif /* bignum.h */
mbedtls_mpi_fill_random
int mbedtls_mpi_fill_random(mbedtls_mpi *X, size_t size, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Fill an MPI with a number of random bytes.
mbedtls_mpi_is_prime_ext
int mbedtls_mpi_is_prime_ext(const mbedtls_mpi *X, int rounds, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Miller-Rabin primality test.
mbedtls_mpi::n
size_t n
Definition: bignum.h:189
MBEDTLS_MPI_GEN_PRIME_FLAG_DH
@ MBEDTLS_MPI_GEN_PRIME_FLAG_DH
Definition: bignum.h:977
mbedtls_mpi_grow
int mbedtls_mpi_grow(mbedtls_mpi *X, size_t nblimbs)
Enlarge an MPI to the specified number of limbs.
mbedtls_mpi_get_bit
int mbedtls_mpi_get_bit(const mbedtls_mpi *X, size_t pos)
Get a specific bit from an MPI.
mbedtls_mpi_mod_mpi
int mbedtls_mpi_mod_mpi(mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a modular reduction. R = A mod B.
mbedtls_mpi_is_prime
MBEDTLS_DEPRECATED int mbedtls_mpi_is_prime(const mbedtls_mpi *X, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Perform a Miller-Rabin primality test with error probability of 2-80.
mbedtls_mpi_sub_int
int mbedtls_mpi_sub_int(mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a signed subtraction of an MPI and an integer: X = A - b.
mbedtls_mpi_inv_mod
int mbedtls_mpi_inv_mod(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *N)
Compute the modular inverse: X = A^-1 mod N.
mbedtls_mpi::p
mbedtls_mpi_uint * p
Definition: bignum.h:190
mbedtls_mpi
MPI structure.
Definition: bignum.h:187
mbedtls_mpi_safe_cond_assign
int mbedtls_mpi_safe_cond_assign(mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned char assign)
Perform a safe conditional copy of MPI which doesn't reveal whether the condition was true or not.
mbedtls_mpi_write_binary_le
int mbedtls_mpi_write_binary_le(const mbedtls_mpi *X, unsigned char *buf, size_t buflen)
Export X into unsigned binary data, little endian. Always fills the whole buffer, which will end with...
MBEDTLS_DEPRECATED
#define MBEDTLS_DEPRECATED
Definition: bignum.h:913
mbedtls_mpi_sub_mpi
int mbedtls_mpi_sub_mpi(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a signed subtraction of MPIs: X = A - B.
mbedtls_mpi_lset
int mbedtls_mpi_lset(mbedtls_mpi *X, mbedtls_mpi_sint z)
Store integer value in MPI.
mbedtls_mpi_free
void mbedtls_mpi_free(mbedtls_mpi *X)
This function frees the components of an MPI context.
MBEDTLS_MPI_GEN_PRIME_FLAG_LOW_ERR
@ MBEDTLS_MPI_GEN_PRIME_FLAG_LOW_ERR
Definition: bignum.h:978
mbedtls_mpi_gcd
int mbedtls_mpi_gcd(mbedtls_mpi *G, const mbedtls_mpi *A, const mbedtls_mpi *B)
Compute the greatest common divisor: G = gcd(A, B)
mbedtls_mpi_shift_r
int mbedtls_mpi_shift_r(mbedtls_mpi *X, size_t count)
Perform a right-shift on an MPI: X >>= count.
mbedtls_mpi_read_binary_le
int mbedtls_mpi_read_binary_le(mbedtls_mpi *X, const unsigned char *buf, size_t buflen)
Import X from unsigned binary data, little endian.
mbedtls_mpi_self_test
int mbedtls_mpi_self_test(int verbose)
Checkup routine.
mbedtls_mpi_add_mpi
int mbedtls_mpi_add_mpi(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a signed addition of MPIs: X = A + B.
mbedtls_mpi_read_binary
int mbedtls_mpi_read_binary(mbedtls_mpi *X, const unsigned char *buf, size_t buflen)
Import an MPI from unsigned big endian binary data.
mbedtls_mpi
struct mbedtls_mpi mbedtls_mpi
MPI structure.
mbedtls_mpi_lsb
size_t mbedtls_mpi_lsb(const mbedtls_mpi *X)
Return the number of bits of value 0 before the least significant bit of value 1.
mbedtls_mpi_cmp_mpi
int mbedtls_mpi_cmp_mpi(const mbedtls_mpi *X, const mbedtls_mpi *Y)
Compare two MPIs.
mbedtls_mpi_shrink
int mbedtls_mpi_shrink(mbedtls_mpi *X, size_t nblimbs)
This function resizes an MPI downwards, keeping at least the specified number of limbs.
mbedtls_mpi_copy
int mbedtls_mpi_copy(mbedtls_mpi *X, const mbedtls_mpi *Y)
Make a copy of an MPI.
mbedtls_mpi_write_binary
int mbedtls_mpi_write_binary(const mbedtls_mpi *X, unsigned char *buf, size_t buflen)
Export X into unsigned binary data, big endian. Always fills the whole buffer, which will start with ...
mbedtls_mpi_mul_mpi
int mbedtls_mpi_mul_mpi(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a multiplication of two MPIs: X = A * B.
mbedtls_mpi_write_string
int mbedtls_mpi_write_string(const mbedtls_mpi *X, int radix, char *buf, size_t buflen, size_t *olen)
Export an MPI to an ASCII string.
mbedtls_mpi_cmp_int
int mbedtls_mpi_cmp_int(const mbedtls_mpi *X, mbedtls_mpi_sint z)
Compare an MPI with an integer.
mbedtls_mpi_add_int
int mbedtls_mpi_add_int(mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a signed addition of an MPI and an integer: X = A + b.
mbedtls_mpi_cmp_abs
int mbedtls_mpi_cmp_abs(const mbedtls_mpi *X, const mbedtls_mpi *Y)
Compare the absolute values of two MPIs.
mbedtls_mpi_bitlen
size_t mbedtls_mpi_bitlen(const mbedtls_mpi *X)
Return the number of bits up to and including the most significant bit of value 1.
mbedtls_mpi_set_bit
int mbedtls_mpi_set_bit(mbedtls_mpi *X, size_t pos, unsigned char val)
Modify a specific bit in an MPI.
mbedtls_mpi_div_int
int mbedtls_mpi_div_int(mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a division with remainder of an MPI by an integer: A = Q * b + R.
mbedtls_mpi_gen_prime_flag_t
mbedtls_mpi_gen_prime_flag_t
Flags for mbedtls_mpi_gen_prime()
Definition: bignum.h:976
mbedtls_mpi_lt_mpi_ct
int mbedtls_mpi_lt_mpi_ct(const mbedtls_mpi *X, const mbedtls_mpi *Y, unsigned *ret)
Check if an MPI is less than the other in constant time.
mbedtls_mpi_div_mpi
int mbedtls_mpi_div_mpi(mbedtls_mpi *Q, mbedtls_mpi *R, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform a division with remainder of two MPIs: A = Q * B + R.
mbedtls_mpi_mod_int
int mbedtls_mpi_mod_int(mbedtls_mpi_uint *r, const mbedtls_mpi *A, mbedtls_mpi_sint b)
Perform a modular reduction with respect to an integer. r = A mod b.
mbedtls_mpi_gen_prime
int mbedtls_mpi_gen_prime(mbedtls_mpi *X, size_t nbits, int flags, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)
Generate a prime number.
mbedtls_mpi_read_file
int mbedtls_mpi_read_file(mbedtls_mpi *X, int radix, FILE *fin)
Read an MPI from a line in an opened file.
mbedtls_mpi::s
int s
Definition: bignum.h:188
mbedtls_mpi_mul_int
int mbedtls_mpi_mul_int(mbedtls_mpi *X, const mbedtls_mpi *A, mbedtls_mpi_uint b)
Perform a multiplication of an MPI with an unsigned integer: X = A * b.
config.h
Configuration options (set of defines)
mbedtls_mpi_add_abs
int mbedtls_mpi_add_abs(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform an unsigned addition of MPIs: X = |A| + |B|.
mbedtls_mpi_size
size_t mbedtls_mpi_size(const mbedtls_mpi *X)
Return the total size of an MPI value in bytes.
mbedtls_mpi_uint
uint32_t mbedtls_mpi_uint
Definition: bignum.h:172
mbedtls_mpi_sub_abs
int mbedtls_mpi_sub_abs(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *B)
Perform an unsigned subtraction of MPIs: X = |A| - |B|.
mbedtls_mpi_shift_l
int mbedtls_mpi_shift_l(mbedtls_mpi *X, size_t count)
Perform a left-shift on an MPI: X <<= count.
mbedtls_t_udbl
uint64_t mbedtls_t_udbl
Definition: bignum.h:174
mbedtls_mpi_write_file
int mbedtls_mpi_write_file(const char *p, const mbedtls_mpi *X, int radix, FILE *fout)
Export an MPI into an opened file.
mbedtls_mpi_exp_mod
int mbedtls_mpi_exp_mod(mbedtls_mpi *X, const mbedtls_mpi *A, const mbedtls_mpi *E, const mbedtls_mpi *N, mbedtls_mpi *_RR)
Perform a sliding-window exponentiation: X = A^E mod N.
mbedtls_mpi_sint
int32_t mbedtls_mpi_sint
Definition: bignum.h:171
mbedtls_mpi_swap
void mbedtls_mpi_swap(mbedtls_mpi *X, mbedtls_mpi *Y)
Swap the contents of two MPIs.
mbedtls_mpi_safe_cond_swap
int mbedtls_mpi_safe_cond_swap(mbedtls_mpi *X, mbedtls_mpi *Y, unsigned char assign)
Perform a safe conditional swap which doesn't reveal whether the condition was true or not.
mbedtls_mpi_read_string
int mbedtls_mpi_read_string(mbedtls_mpi *X, int radix, const char *s)
Import an MPI from an ASCII string.
mbedtls_mpi_init
void mbedtls_mpi_init(mbedtls_mpi *X)
Initialize an MPI context.