#include <stdio.h>Go to the source code of this file.
Data Structures | |
| struct | mpi |
| MPI structure. More... | |
Defines | |
| #define | XYSSL_ERR_MPI_FILE_IO_ERROR -0x0002 |
| #define | XYSSL_ERR_MPI_BAD_INPUT_DATA -0x0004 |
| #define | XYSSL_ERR_MPI_INVALID_CHARACTER -0x0006 |
| #define | XYSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008 |
| #define | XYSSL_ERR_MPI_NEGATIVE_VALUE -0x000A |
| #define | XYSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C |
| #define | XYSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E |
| #define | MPI_CHK(f) if( ( ret = f ) != 0 ) goto cleanup |
Typedefs | |
| typedef unsigned long | t_int |
| typedef unsigned long long | t_dbl |
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 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. | |
| int | mpi_lsb (mpi *X) |
| Return the number of least significant bits. | |
| int | mpi_msb (mpi *X) |
| Return the number of most significant bits. | |
| int | mpi_size (mpi *X) |
| Return the total size in bytes. | |
| int | mpi_read_string (mpi *X, int radix, char *s) |
| Import from an ASCII string. | |
| int | mpi_write_string (mpi *X, int radix, char *s, int *slen) |
| Export into an ASCII string. | |
| int | mpi_read_file (mpi *X, int radix, FILE *fin) |
| Read X from an opened file. | |
| int | mpi_read_mystring (mpi *X, int radix, char *s) |
| 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_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|. | |
| 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. | |
| 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. | |
| 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, int(*f_rng)(void *), void *p_rng) |
| Miller-Rabin primality test. | |
| int | mpi_gen_prime (mpi *X, int nbits, int dh_flag, int(*f_rng)(void *), void *p_rng) |
| Prime number generation. | |
| int | mpi_self_test (int verbose) |
| Checkup routine. | |
Definition in file bignum.h.
Definition at line 17 of file bignum.h.
Referenced by dhm_calc_secret(), dhm_make_params(), dhm_make_public(), mpi_add_abs(), mpi_add_mpi(), mpi_copy(), mpi_div_mpi(), mpi_exp_mod(), mpi_gcd(), mpi_gen_prime(), mpi_inv_mod(), mpi_is_prime(), mpi_lset(), mpi_mod_mpi(), mpi_mul_mpi(), mpi_read_binary(), mpi_read_string(), mpi_self_test(), mpi_shift_l(), mpi_sub_abs(), mpi_sub_mpi(), mpi_write_file(), mpi_write_hlp(), mpi_write_string(), rsa_check_privkey(), rsa_gen_key(), rsa_private(), and rsa_public().
| #define XYSSL_ERR_MPI_BAD_INPUT_DATA -0x0004 |
Definition at line 10 of file bignum.h.
Referenced by mpi_exp_mod(), mpi_gen_prime(), mpi_inv_mod(), mpi_read_string(), mpi_write_hlp(), and mpi_write_string().
| #define XYSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008 |
Definition at line 12 of file bignum.h.
Referenced by mpi_write_binary(), and mpi_write_string().
| #define XYSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C |
Definition at line 14 of file bignum.h.
Referenced by mpi_div_mpi(), and mpi_mod_int().
| #define XYSSL_ERR_MPI_FILE_IO_ERROR -0x0002 |
Definition at line 9 of file bignum.h.
Referenced by mpi_read_file(), and mpi_write_file().
| #define XYSSL_ERR_MPI_INVALID_CHARACTER -0x0006 |
Definition at line 11 of file bignum.h.
Referenced by mpi_get_digit().
| #define XYSSL_ERR_MPI_NEGATIVE_VALUE -0x000A |
Definition at line 13 of file bignum.h.
Referenced by mpi_sub_abs().
| #define XYSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E |
Definition at line 15 of file bignum.h.
Referenced by mpi_gen_prime(), mpi_inv_mod(), and mpi_is_prime().
Unsigned addition: X = |A| + |B|.
Definition at line 694 of file bignum.c.
References MPI_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 860 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 798 of file bignum.c.
References mpi_add_abs(), MPI_CHK, 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 615 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().
| int mpi_cmp_int | ( | mpi * | X, | |
| int | z | |||
| ) |
Compare signed values.
Definition at line 678 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 645 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(), mpi_self_test(), rsa_check_privkey(), rsa_gen_key(), rsa_private(), and rsa_public().
Copy the contents of Y into X.
Definition at line 128 of file bignum.c.
References ciL, MPI_CHK, 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 1173 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 1008 of file bignum.c.
References biH, biL, mpi_add_mpi(), MPI_CHK, 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, mpi::s, and XYSSL_ERR_MPI_DIVISION_BY_ZERO.
Referenced by mpi_div_int(), mpi_mod_mpi(), and mpi_self_test().
Sliding-window exponentiation: X = A^E mod N.
Definition at line 1328 of file bignum.c.
References biL, MPI_CHK, 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, mpi::p, and XYSSL_ERR_MPI_BAD_INPUT_DATA.
Referenced by dhm_calc_secret(), dhm_make_params(), dhm_make_public(), main(), mpi_is_prime(), mpi_self_test(), rsa_private(), and rsa_public().
| void mpi_free | ( | mpi * | X, | |
| ... | ||||
| ) |
Unallocate one or more mpi.
Definition at line 73 of file bignum.c.
References ciL, mpi::n, mpi::p, and mpi::s.
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_self_test(), 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 1507 of file bignum.c.
References MPI_CHK, mpi_cmp_int(), mpi_cmp_mpi(), mpi_copy(), mpi_free(), mpi_init(), mpi_lset(), mpi_mul_mpi(), mpi_shift_r(), mpi_sub_abs(), mpi::p, and mpi::s.
Referenced by mpi_inv_mod(), rsa_check_privkey(), and rsa_gen_key().
| int mpi_gen_prime | ( | mpi * | X, | |
| int | nbits, | |||
| int | dh_flag, | |||
| int(*)(void *) | f_rng, | |||
| void * | p_rng | |||
| ) |
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 | |
| f_rng | RNG function | |
| p_rng | RNG parameter |
Definition at line 1778 of file bignum.c.
References BITS_TO_LIMBS, ciL, mpi_add_int(), MPI_CHK, mpi_free(), mpi_grow(), mpi_init(), mpi_is_prime(), mpi_lset(), mpi_msb(), mpi_shift_l(), mpi_shift_r(), mpi_sub_int(), mpi::p, XYSSL_ERR_MPI_BAD_INPUT_DATA, and XYSSL_ERR_MPI_NOT_ACCEPTABLE.
Referenced by main(), and rsa_gen_key().
| int mpi_grow | ( | mpi * | X, | |
| int | nblimbs | |||
| ) |
Enlarge to the specified number of limbs.
Definition at line 100 of file bignum.c.
References ciL, mpi::n, and mpi::p.
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 52 of file bignum.c.
References mpi::n, mpi::p, and mpi::s.
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_self_test(), 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 1549 of file bignum.c.
References mpi_add_mpi(), MPI_CHK, 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(), mpi::p, XYSSL_ERR_MPI_BAD_INPUT_DATA, and XYSSL_ERR_MPI_NOT_ACCEPTABLE.
Referenced by main(), mpi_self_test(), and rsa_gen_key().
| int mpi_is_prime | ( | mpi * | X, | |
| int(*)(void *) | f_rng, | |||
| void * | p_rng | |||
| ) |
Miller-Rabin primality test.
Definition at line 1667 of file bignum.c.
References ciL, MPI_CHK, 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, small_prime, and XYSSL_ERR_MPI_NOT_ACCEPTABLE.
Referenced by main(), and mpi_gen_prime().
| int mpi_lsb | ( | mpi * | X | ) |
| int mpi_lset | ( | mpi * | X, | |
| int | z | |||
| ) |
Set value from integer.
Definition at line 167 of file bignum.c.
References ciL, MPI_CHK, mpi_grow(), mpi::n, mpi::p, and mpi::s.
Referenced by dhm_make_params(), dhm_make_public(), 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 1209 of file bignum.c.
References biH, mpi::n, mpi::p, and XYSSL_ERR_MPI_DIVISION_BY_ZERO.
Referenced by mpi_is_prime(), and mpi_write_hlp().
Modulo: R = A mod B.
Definition at line 1189 of file bignum.c.
References mpi_add_mpi(), MPI_CHK, 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_check_privkey(), rsa_gen_key(), and rsa_private().
| int mpi_msb | ( | mpi * | X | ) |
Return the number of most significant bits.
Definition at line 200 of file bignum.c.
References biL, mpi::n, and mpi::p.
Referenced by d2i_RSA_PUBKEY(), main(), mpi_div_mpi(), mpi_exp_mod(), mpi_gen_prime(), mpi_is_prime(), mpi_shift_l(), mpi_size(), mpi_write_string(), rsa_check_pubkey(), rsa_decryption(), rsa_encryption(), and rsa_gen_key().
Baseline multiplication: X = A * b.
Definition at line 992 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 956 of file bignum.c.
References MPI_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(), mpi_self_test(), rsa_check_privkey(), rsa_gen_key(), and rsa_private().
| int mpi_read_binary | ( | mpi * | X, | |
| unsigned char * | buf, | |||
| int | buflen | |||
| ) |
Import X from unsigned binary data, big endian.
| X | destination mpi | |
| buf | input buffer | |
| buflen | input buffer size |
Definition at line 484 of file bignum.c.
References CHARS_TO_LIMBS, ciL, MPI_CHK, mpi_grow(), mpi_lset(), and mpi::p.
Referenced by asn1_get_mpi(), d2i_RSA_PUBKEY(), dhm_read_bignum(), dhm_read_public(), rsa_private(), and rsa_public().
| int mpi_read_file | ( | mpi * | X, | |
| int | radix, | |||
| FILE * | fin | |||
| ) |
Read X from an opened file.
| X | destination mpi | |
| radix | input numeric base | |
| fin | input file handle |
Definition at line 391 of file bignum.c.
References mpi_get_digit(), mpi_read_string(), and XYSSL_ERR_MPI_FILE_IO_ERROR.
Referenced by main().
| int mpi_read_mystring | ( | mpi * | X, | |
| int | radix, | |||
| char * | s | |||
| ) |
Definition at line 418 of file bignum.c.
References mpi_get_digit(), and mpi_read_string().
Referenced by rsa_decryption(), and rsa_encryption().
| int mpi_read_string | ( | mpi * | X, | |
| int | radix, | |||
| char * | s | |||
| ) |
Import from an ASCII string.
| X | destination mpi | |
| radix | input numeric base | |
| s | null-terminated string buffer |
Definition at line 243 of file bignum.c.
References BITS_TO_LIMBS, ciL, mpi_add_int(), MPI_CHK, mpi_free(), mpi_get_digit(), mpi_grow(), mpi_init(), mpi_lset(), mpi_mul_int(), mpi::p, mpi::s, and XYSSL_ERR_MPI_BAD_INPUT_DATA.
Referenced by main(), mpi_read_file(), mpi_read_mystring(), mpi_self_test(), rsa_self_test(), and ssl_set_dh_param().
| int mpi_self_test | ( | int | verbose | ) |
Checkup routine.
Definition at line 1854 of file bignum.c.
References MPI_CHK, mpi_cmp_mpi(), mpi_div_mpi(), mpi_exp_mod(), mpi_free(), mpi_init(), mpi_inv_mod(), mpi_mul_mpi(), and mpi_read_string().
Referenced by main().
| int mpi_shift_l | ( | mpi * | X, | |
| int | count | |||
| ) |
Left-shift: X <<= count.
Definition at line 526 of file bignum.c.
References biL, BITS_TO_LIMBS, MPI_CHK, mpi_grow(), mpi_msb(), mpi::n, and mpi::p.
Referenced by mpi_div_mpi(), mpi_exp_mod(), and mpi_gen_prime().
| int mpi_shift_r | ( | mpi * | X, | |
| int | count | |||
| ) |
Right-shift: X >>= count.
Definition at line 575 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().
| int mpi_size | ( | mpi * | X | ) |
Return the total size in bytes.
Definition at line 218 of file bignum.c.
References mpi_msb().
Referenced by dhm_calc_secret(), dhm_make_params(), dhm_read_params(), mpi_write_binary(), x509parse_crt(), and x509parse_key().
Unsigned substraction: X = |A| - |B|.
Definition at line 761 of file bignum.c.
References MPI_CHK, mpi_cmp_abs(), mpi_copy(), mpi_free(), mpi_init(), mpi_sub_hlp(), mpi::n, mpi::p, and XYSSL_ERR_MPI_NEGATIVE_VALUE.
Referenced by mpi_add_mpi(), mpi_gcd(), and mpi_sub_mpi().
Signed substraction: X = A - b.
Definition at line 876 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 829 of file bignum.c.
References mpi_add_abs(), MPI_CHK, 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().
| int mpi_write_binary | ( | mpi * | X, | |
| unsigned char * | buf, | |||
| int | buflen | |||
| ) |
Export X into unsigned binary data, big endian.
| X | source mpi | |
| buf | output buffer | |
| buflen | output buffer size |
Definition at line 506 of file bignum.c.
References ciL, mpi_size(), mpi::p, and XYSSL_ERR_MPI_BUFFER_TOO_SMALL.
Referenced by dhm_calc_secret(), dhm_make_public(), rsa_private(), and rsa_public().
| int mpi_write_file | ( | char * | p, | |
| mpi * | X, | |||
| int | radix, | |||
| FILE * | fout | |||
| ) |
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 447 of file bignum.c.
References MPI_CHK, mpi_write_string(), and XYSSL_ERR_MPI_FILE_IO_ERROR.
Referenced by generate_RSA_keys_ciphertext(), generate_RSA_keys_plaintext(), and main().
| int mpi_write_string | ( | mpi * | X, | |
| int | radix, | |||
| char * | s, | |||
| int * | slen | |||
| ) |
Export into an ASCII string.
| X | source mpi | |
| radix | output numeric base | |
| s | string buffer | |
| slen | string buffer size |
Definition at line 328 of file bignum.c.
References ciL, MPI_CHK, mpi_copy(), mpi_free(), mpi_init(), mpi_msb(), mpi_write_hlp(), mpi::n, mpi::p, mpi::s, XYSSL_ERR_MPI_BAD_INPUT_DATA, and XYSSL_ERR_MPI_BUFFER_TOO_SMALL.
Referenced by mpi_write_file().
1.6.3