#include <string.h>
#include <stdlib.h>
#include <stdarg.h>
#include <stdio.h>
#include "xyssl/bignum.h"
#include "xyssl/bn_asm.h"
Go to the source code of this file.
Defines | |
#define | _CRT_SECURE_NO_DEPRECATE 1 |
#define | BITS_TO_LIMBS(i) (((i) + biL - 1) / biL) |
#define | CHARS_TO_LIMBS(i) (((i) + ciL - 1) / ciL) |
Functions | |
void | mpi_init (mpi *X,...) |
Initialize one or more mpi. | |
void | mpi_free (mpi *X,...) |
Unallocate one or more mpi. | |
int | mpi_grow (mpi *X, int nblimbs) |
Enlarge X to the specified number of limbs. | |
int | mpi_copy (mpi *X, mpi *Y) |
Copy the contents of Y into X. | |
void | mpi_swap (mpi *X, mpi *Y) |
Swap the contents of X and Y. | |
int | mpi_lset (mpi *X, int z) |
Set value from integer. | |
static int | mpi_get_digit (t_int *d, int radix, char c) |
int | mpi_read_string (mpi *X, int radix, char *s) |
Import X from an ASCII string. | |
static int | mpi_write_hlp (mpi *X, int radix, char **p) |
int | mpi_write_string (mpi *X, int radix, char *s, int *slen) |
Export X into an ASCII string. | |
int | mpi_read_file (mpi *X, int radix, FILE *fin) |
Read X from an opened file. | |
int | mpi_write_file (char *p, mpi *X, int radix, FILE *fout) |
Write X into an opened file, or stdout. | |
int | mpi_read_binary (mpi *X, unsigned char *buf, int buflen) |
Import X from unsigned binary data, big endian. | |
int | mpi_write_binary (mpi *X, unsigned char *buf, int *buflen) |
Export X into unsigned binary data, big endian. | |
int | mpi_msb (mpi *X) |
Return the total size in bits, without leading 0s. | |
int | mpi_lsb (mpi *X) |
Return the number of least significant bits. | |
int | mpi_shift_l (mpi *X, int count) |
Left-shift: X <<= count. | |
int | mpi_shift_r (mpi *X, int count) |
Right-shift: X >>= count. | |
int | mpi_cmp_abs (mpi *X, mpi *Y) |
Compare unsigned values. | |
int | mpi_cmp_mpi (mpi *X, mpi *Y) |
Compare signed values. | |
int | mpi_cmp_int (mpi *X, int z) |
Compare signed values. | |
int | mpi_add_abs (mpi *X, mpi *A, mpi *B) |
Unsigned addition: X = |A| + |B|. | |
static void | mpi_sub_hlp (int n, t_int *s, t_int *d) |
int | mpi_sub_abs (mpi *X, mpi *A, mpi *B) |
Unsigned substraction: X = |A| - |B|. | |
int | mpi_add_mpi (mpi *X, mpi *A, mpi *B) |
Signed addition: X = A + B. | |
int | mpi_sub_mpi (mpi *X, mpi *A, mpi *B) |
Signed substraction: X = A - B. | |
int | mpi_add_int (mpi *X, mpi *A, int b) |
Signed addition: X = A + b. | |
int | mpi_sub_int (mpi *X, mpi *A, int b) |
Signed substraction: X = A - b. | |
static void | mpi_mul_hlp (int i, t_int *s, t_int *d, t_int b) |
int | mpi_mul_mpi (mpi *X, mpi *A, mpi *B) |
Baseline multiplication: X = A * B. | |
int | mpi_mul_int (mpi *X, mpi *A, t_int b) |
Baseline multiplication: X = A * b. | |
int | mpi_div_mpi (mpi *Q, mpi *R, mpi *A, mpi *B) |
Division by mpi: A = Q * B + R. | |
int | mpi_div_int (mpi *Q, mpi *R, mpi *A, int b) |
Division by int: A = Q * b + R. | |
int | mpi_mod_mpi (mpi *R, mpi *A, mpi *B) |
Modulo: R = A mod B. | |
int | mpi_mod_int (t_int *r, mpi *A, int b) |
Modulo: r = A mod b. | |
static void | mpi_montg_init (t_int *mm, mpi *N) |
static void | mpi_montmul (mpi *A, mpi *B, mpi *N, t_int mm, mpi *T) |
static void | mpi_montred (mpi *A, mpi *N, t_int mm, mpi *T) |
int | mpi_exp_mod (mpi *X, mpi *A, mpi *E, mpi *N, mpi *_RR) |
Sliding-window exponentiation: X = A^E mod N. | |
int | mpi_gcd (mpi *G, mpi *A, mpi *B) |
Greatest common divisor: G = gcd(A, B). | |
int | mpi_inv_mod (mpi *X, mpi *A, mpi *N) |
Modular inverse: X = A^-1 mod N. | |
int | mpi_is_prime (mpi *X) |
Miller-Rabin primality test. | |
int | mpi_gen_prime (mpi *X, int nbits, int dh_flag, int(*rng_f)(void *), void *rng_d) |
Prime number generation. | |
int | mpi_self_test (int verbose) |
Checkup routine. | |
Variables | |
static const int | small_prime [] |
static const char | _bignum_src [] = "_bignum_src" |
#define BITS_TO_LIMBS | ( | i | ) | (((i) + biL - 1) / biL) |
Definition at line 42 of file bignum.c.
Referenced by mpi_gen_prime(), mpi_read_string(), and mpi_shift_l().
#define CHARS_TO_LIMBS | ( | i | ) | (((i) + ciL - 1) / ciL) |
Unsigned addition: X = |A| + |B|.
Definition at line 641 of file bignum.c.
References CHK, mpi_copy(), mpi_grow(), mpi::n, and mpi::p.
Referenced by mpi_add_mpi(), and mpi_sub_mpi().
Signed addition: X = A + b.
Definition at line 806 of file bignum.c.
References mpi_add_mpi(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_gen_prime(), and mpi_read_string().
Signed addition: X = A + B.
Definition at line 744 of file bignum.c.
References CHK, mpi_add_abs(), mpi_cmp_abs(), mpi_sub_abs(), and mpi::s.
Referenced by mpi_add_int(), mpi_div_mpi(), mpi_inv_mod(), mpi_mod_mpi(), and rsa_private().
Compare unsigned values.
Definition at line 562 of file bignum.c.
References mpi::n, and mpi::p.
Referenced by mpi_add_mpi(), mpi_div_mpi(), mpi_montmul(), mpi_sub_abs(), and mpi_sub_mpi().
Compare signed values.
Definition at line 625 of file bignum.c.
References mpi_cmp_mpi(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_inv_mod(), mpi_is_prime(), mpi_mod_mpi(), mpi_write_hlp(), rsa_check_privkey(), and rsa_gen_key().
Compare signed values.
Definition at line 592 of file bignum.c.
References mpi::n, mpi::p, and mpi::s.
Referenced by dhm_make_params(), dhm_make_public(), mpi_cmp_int(), mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_inv_mod(), mpi_is_prime(), mpi_mod_mpi(), rsa_check_privkey(), rsa_gen_key(), rsa_private(), and rsa_public().
Copy the contents of Y into X.
Definition at line 115 of file bignum.c.
References CHK, ciL, mpi_grow(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_add_abs(), mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_inv_mod(), mpi_is_prime(), mpi_mul_mpi(), mpi_sub_abs(), and mpi_write_string().
Division by int: A = Q * b + R.
Definition at line 1117 of file bignum.c.
References mpi_div_mpi(), mpi::n, mpi::p, and mpi::s.
Referenced by main(), and mpi_write_hlp().
Division by mpi: A = Q * B + R.
Definition at line 953 of file bignum.c.
References biH, biL, CHK, ERR_MPI_DIVISION_BY_ZERO, mpi_add_mpi(), mpi_cmp_abs(), mpi_cmp_int(), mpi_cmp_mpi(), mpi_copy(), mpi_free(), mpi_grow(), mpi_init(), mpi_lset(), mpi_msb(), mpi_mul_int(), mpi_shift_l(), mpi_shift_r(), mpi_sub_mpi(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_div_int(), and mpi_mod_mpi().
Sliding-window exponentiation: X = A^E mod N.
Definition at line 1263 of file bignum.c.
References biL, CHK, ERR_MPI_INVALID_PARAMETER, mpi_cmp_int(), mpi_cmp_mpi(), mpi_copy(), mpi_free(), mpi_grow(), mpi_init(), mpi_lset(), mpi_mod_mpi(), mpi_montg_init(), mpi_montmul(), mpi_montred(), mpi_msb(), mpi_shift_l(), mpi::n, and mpi::p.
Referenced by dhm_calc_secret(), dhm_make_params(), dhm_make_public(), main(), mpi_is_prime(), rsa_private(), and rsa_public().
void mpi_free | ( | mpi * | X, | |
... | ||||
) |
Unallocate one or more mpi.
Definition at line 66 of file bignum.c.
References ciL, mpi::n, and mpi::p.
Referenced by dhm_free(), main(), mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_gen_prime(), mpi_inv_mod(), mpi_is_prime(), mpi_mul_mpi(), mpi_read_string(), mpi_sub_abs(), mpi_write_string(), rsa_check_privkey(), rsa_free(), rsa_gen_key(), rsa_private(), and rsa_public().
Greatest common divisor: G = gcd(A, B).
Definition at line 1440 of file bignum.c.
References CHK, mpi_cmp_int(), mpi_cmp_mpi(), mpi_copy(), mpi_free(), mpi_init(), mpi_lsb(), mpi_lset(), mpi_mul_mpi(), mpi_shift_l(), mpi_shift_r(), mpi_sub_abs(), mpi::p, and mpi::s.
Referenced by mpi_inv_mod(), rsa_check_privkey(), and rsa_gen_key().
Prime number generation.
X | destination mpi | |
nbits | required size of X in bits | |
dh_flag | if 1, then (X-1)/2 will be prime too | |
rng_f | points to the RNG function | |
rng_d | points to the RNG data |
Definition at line 1710 of file bignum.c.
References BITS_TO_LIMBS, CHK, ERR_MPI_INVALID_PARAMETER, ERR_MPI_NOT_ACCEPTABLE, mpi_add_int(), mpi_free(), mpi_grow(), mpi_init(), mpi_is_prime(), mpi_lset(), mpi_msb(), mpi_shift_l(), mpi_shift_r(), mpi_sub_int(), and mpi::p.
Referenced by main(), and rsa_gen_key().
Definition at line 171 of file bignum.c.
References ERR_MPI_INVALID_CHARACTER.
Referenced by mpi_read_file(), and mpi_read_string().
Enlarge X to the specified number of limbs.
Definition at line 91 of file bignum.c.
References ciL, mpi::n, mpi::p, and mpi::s.
Referenced by dhm_make_params(), dhm_make_public(), mpi_add_abs(), mpi_copy(), mpi_div_mpi(), mpi_exp_mod(), mpi_gen_prime(), mpi_is_prime(), mpi_lset(), mpi_mul_mpi(), mpi_read_binary(), mpi_read_string(), and mpi_shift_l().
void mpi_init | ( | mpi * | X, | |
... | ||||
) |
Initialize one or more mpi.
Definition at line 48 of file bignum.c.
Referenced by main(), mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_gen_prime(), mpi_inv_mod(), mpi_is_prime(), mpi_mul_mpi(), mpi_read_string(), mpi_sub_abs(), mpi_write_string(), rsa_check_privkey(), rsa_gen_key(), rsa_private(), and rsa_public().
Modular inverse: X = A^-1 mod N.
Definition at line 1488 of file bignum.c.
References CHK, ERR_MPI_INVALID_PARAMETER, ERR_MPI_NOT_ACCEPTABLE, mpi_add_mpi(), mpi_cmp_int(), mpi_cmp_mpi(), mpi_copy(), mpi_free(), mpi_gcd(), mpi_init(), mpi_lset(), mpi_mod_mpi(), mpi_shift_r(), mpi_sub_mpi(), and mpi::p.
Referenced by main(), and rsa_gen_key().
Miller-Rabin primality test.
Definition at line 1614 of file bignum.c.
References CHK, ERR_MPI_NOT_ACCEPTABLE, mpi_cmp_int(), mpi_cmp_mpi(), mpi_copy(), mpi_exp_mod(), mpi_free(), mpi_grow(), mpi_init(), mpi_lsb(), mpi_mod_int(), mpi_mod_mpi(), mpi_msb(), mpi_mul_mpi(), mpi_shift_r(), mpi_sub_int(), mpi::n, mpi::p, R, mpi::s, and small_prime.
Referenced by main(), and mpi_gen_prime().
Set value from integer.
Definition at line 154 of file bignum.c.
References CHK, ciL, mpi_grow(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_gen_prime(), mpi_inv_mod(), mpi_mul_mpi(), mpi_read_binary(), mpi_read_string(), and rsa_gen_key().
Modulo: r = A mod b.
Definition at line 1153 of file bignum.c.
References biH, ERR_MPI_DIVISION_BY_ZERO, mpi::n, and mpi::p.
Referenced by mpi_is_prime(), and mpi_write_hlp().
Modulo: R = A mod B.
Definition at line 1133 of file bignum.c.
References CHK, mpi_add_mpi(), mpi_cmp_int(), mpi_cmp_mpi(), mpi_div_mpi(), and mpi_sub_mpi().
Referenced by mpi_exp_mod(), mpi_inv_mod(), mpi_is_prime(), rsa_gen_key(), and rsa_private().
Definition at line 1212 of file bignum.c.
References ciL, mpi_cmp_abs(), mpi_mul_hlp(), mpi_sub_hlp(), mpi::n, and mpi::p.
Referenced by mpi_exp_mod(), and mpi_montred().
Definition at line 1249 of file bignum.c.
References mpi_montmul(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_exp_mod().
Return the total size in bits, without leading 0s.
Definition at line 440 of file bignum.c.
References biL, mpi::n, and mpi::p.
Referenced by dhm_calc_secret(), dhm_make_params(), dhm_read_params(), mpi_div_mpi(), mpi_exp_mod(), mpi_gen_prime(), mpi_is_prime(), mpi_shift_l(), mpi_write_binary(), mpi_write_string(), rsa_check_pubkey(), rsa_gen_key(), rsa_read_private(), rsa_read_public(), x509_add_certs(), and x509_parse_key().
Definition at line 838 of file bignum.c.
References MULADDC_CORE, MULADDC_INIT, and MULADDC_STOP.
Referenced by mpi_montmul(), and mpi_mul_mpi().
Baseline multiplication: X = A * b.
Definition at line 937 of file bignum.c.
References mpi_mul_mpi(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_div_mpi(), and mpi_read_string().
Baseline multiplication: X = A * B.
Definition at line 902 of file bignum.c.
References CHK, mpi_copy(), mpi_free(), mpi_grow(), mpi_init(), mpi_lset(), mpi_mul_hlp(), mpi::n, mpi::p, and mpi::s.
Referenced by main(), mpi_gcd(), mpi_is_prime(), mpi_mul_int(), rsa_check_privkey(), rsa_gen_key(), and rsa_private().
Import X from unsigned binary data, big endian.
X | destination mpi | |
buf | input buffer | |
buflen | input buffer size |
Definition at line 395 of file bignum.c.
References CHARS_TO_LIMBS, CHK, ciL, mpi_grow(), mpi_lset(), and mpi::p.
Referenced by asn1_get_mpi(), dhm_read_bignum(), dhm_read_public(), rsa_private(), and rsa_public().
Read X from an opened file.
X | destination mpi | |
radix | input numeric base | |
fin | input file handle |
Definition at line 332 of file bignum.c.
References ERR_MPI_FILE_IO_ERROR, mpi_get_digit(), and mpi_read_string().
Referenced by main(), rsa_read_private(), and rsa_read_public().
Import X from an ASCII string.
X | destination mpi | |
radix | input numeric base | |
s | null-terminated string buffer |
Definition at line 188 of file bignum.c.
References BITS_TO_LIMBS, CHK, ciL, ERR_MPI_INVALID_PARAMETER, int, mpi_add_int(), mpi_free(), mpi_get_digit(), mpi_grow(), mpi_init(), mpi_lset(), mpi_mul_int(), mpi::p, and mpi::s.
Referenced by main(), and mpi_read_file().
Left-shift: X <<= count.
Definition at line 473 of file bignum.c.
References biL, BITS_TO_LIMBS, CHK, mpi_grow(), mpi_msb(), mpi::n, and mpi::p.
Referenced by mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), and mpi_gen_prime().
Right-shift: X >>= count.
Definition at line 522 of file bignum.c.
References biL, mpi::n, and mpi::p.
Referenced by dhm_make_params(), dhm_make_public(), mpi_div_mpi(), mpi_gcd(), mpi_gen_prime(), mpi_inv_mod(), and mpi_is_prime().
Unsigned substraction: X = |A| - |B|.
Definition at line 708 of file bignum.c.
References CHK, ERR_MPI_NEGATIVE_VALUE, mpi_cmp_abs(), mpi_copy(), mpi_free(), mpi_init(), mpi_sub_hlp(), mpi::n, and mpi::p.
Referenced by mpi_add_mpi(), mpi_gcd(), and mpi_sub_mpi().
Signed substraction: X = A - b.
Definition at line 822 of file bignum.c.
References mpi_sub_mpi(), mpi::n, mpi::p, and mpi::s.
Referenced by main(), mpi_gen_prime(), mpi_is_prime(), rsa_check_privkey(), and rsa_gen_key().
Signed substraction: X = A - B.
Definition at line 775 of file bignum.c.
References CHK, mpi_add_abs(), mpi_cmp_abs(), mpi_sub_abs(), and mpi::s.
Referenced by mpi_div_mpi(), mpi_inv_mod(), mpi_mod_mpi(), mpi_sub_int(), and rsa_private().
Export X into unsigned binary data, big endian.
X | source mpi | |
buf | output buffer | |
buflen | output buffer size |
Definition at line 417 of file bignum.c.
References ciL, ERR_MPI_BUFFER_TOO_SMALL, mpi_msb(), and mpi::p.
Referenced by dhm_calc_secret(), dhm_make_public(), rsa_private(), and rsa_public().
Write X into an opened file, or stdout.
p | prefix, can be NULL | |
X | source mpi | |
radix | output numeric base | |
fout | output file handle |
Definition at line 357 of file bignum.c.
References CHK, ERR_MPI_FILE_IO_ERROR, and mpi_write_string().
Referenced by main(), rsa_write_private(), and rsa_write_public().
Definition at line 245 of file bignum.c.
References CHK, ERR_MPI_INVALID_PARAMETER, mpi_cmp_int(), mpi_div_int(), and mpi_mod_int().
Referenced by mpi_write_string().
Export X into an ASCII string.
X | source mpi | |
radix | output numeric base | |
s | string buffer | |
slen | string buffer size |
Definition at line 270 of file bignum.c.
References CHK, ciL, ERR_MPI_BUFFER_TOO_SMALL, ERR_MPI_INVALID_PARAMETER, mpi_copy(), mpi_free(), mpi_init(), mpi_msb(), mpi_write_hlp(), mpi::n, mpi::p, and mpi::s.
Referenced by mpi_write_file().
const char _bignum_src[] = "_bignum_src" [static] |
const int small_prime[] [static] |