/home/dko/Projects/mobilec/src/security/xyssl-0.9/library/bignum.c File Reference

#include "xyssl/config.h"
#include "xyssl/bignum.h"
#include "xyssl/bn_mul.h"
#include <string.h>
#include <stdlib.h>
#include <stdarg.h>

Go to the source code of this file.

Defines
#define	ciL   ((int) sizeof(t_int))
#define	biL   (ciL << 3)
#define	biH   (ciL << 2)
#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 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.
static int	mpi_get_digit (t_int *d, int radix, char c)
int	mpi_read_string (mpi *X, int radix, char *s)
	Import 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 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|.
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, 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.
Variables
static const int	small_prime []

---

Define Documentation

#define biH   (ciL << 2)

Definition at line 41 of file bignum.c.

Referenced by mpi_div_mpi(), and mpi_mod_int().

#define biL   (ciL << 3)

Definition at line 40 of file bignum.c.

Referenced by mpi_div_mpi(), mpi_exp_mod(), mpi_lsb(), mpi_montg_init(), mpi_msb(), mpi_shift_l(), and mpi_shift_r().

#define BITS_TO_LIMBS

(

i

)

(((i) + biL - 1) / biL)

Definition at line 46 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)

Definition at line 47 of file bignum.c.

Referenced by mpi_read_binary().

#define ciL   ((int) sizeof(t_int))

Definition at line 39 of file bignum.c.

Referenced by mpi_copy(), mpi_free(), mpi_gen_prime(), mpi_grow(), mpi_is_prime(), mpi_lset(), mpi_montmul(), mpi_read_binary(), mpi_read_string(), mpi_write_binary(), and mpi_write_string().

---

Function Documentation

int mpi_add_abs	(	mpi *	X,
		mpi *	A,
		mpi *	B
	)

Unsigned addition: X = |A| + |B|.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_add_int	(	mpi *	X,
		mpi *	A,
		int	b
	)

Signed addition: X = A + b.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_add_mpi	(	mpi *	X,
		mpi *	A,
		mpi *	B
	)

Signed addition: X = A + B.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_cmp_abs	(	mpi *	X,
		mpi *	Y
	)

Compare unsigned values.

Returns:

1 if |X| is greater than |Y|, -1 if |X| is lesser than |Y| or 0 if |X| is equal to |Y|

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.

Returns:

1 if X is greater than z, -1 if X is lesser than z or 0 if X is equal to z

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().

int mpi_cmp_mpi	(	mpi *	X,
		mpi *	Y
	)

Compare signed values.

Returns:

1 if X is greater than Y, -1 if X is lesser than Y or 0 if X is equal to Y

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().

int mpi_copy	(	mpi *	X,
		mpi *	Y
	)

Copy the contents of Y into X.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_div_int	(	mpi *	Q,
		mpi *	R,
		mpi *	A,
		int	b
	)

Division by int: A = Q * b + R.

Returns:

0 if successful, 1 if memory allocation failed, XYSSL_ERR_MPI_DIVISION_BY_ZERO if b == 0

Note:

Either Q or R can be NULL.

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().

int mpi_div_mpi	(	mpi *	Q,
		mpi *	R,
		mpi *	A,
		mpi *	B
	)

Division by mpi: A = Q * B + R.

Returns:

0 if successful, 1 if memory allocation failed, XYSSL_ERR_MPI_DIVISION_BY_ZERO if B == 0

Note:

Either Q or R can be NULL.

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().

int mpi_exp_mod	(	mpi *	X,
		mpi *	A,
		mpi *	E,
		mpi *	N,
		mpi *	_RR
	)

Sliding-window exponentiation: X = A^E mod N.

Returns:

0 if successful, 1 if memory allocation failed, XYSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or even

Note:

_RR is used to avoid re-computing R*R mod N across multiple calls, which speeds up things a bit. It can be set to NULL if the extra performance is unneeded.

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().

int mpi_gcd	(	mpi *	G,
		mpi *	A,
		mpi *	B
	)

Greatest common divisor: G = gcd(A, B).

Returns:

0 if successful, 1 if memory allocation failed

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.

Parameters:

	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

Returns:

0 if successful (probably prime), 1 if memory allocation failed, XYSSL_ERR_MPI_BAD_INPUT_DATA if nbits is < 3

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().

static int mpi_get_digit	(	t_int *	d,
		int	radix,
		char	c
	)			[static]

Definition at line 226 of file bignum.c.

References XYSSL_ERR_MPI_INVALID_CHARACTER.

Referenced by mpi_read_file(), mpi_read_mystring(), and mpi_read_string().

int mpi_grow	(	mpi *	X,
		int	nblimbs
	)

Enlarge to the specified number of limbs.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_inv_mod	(	mpi *	X,
		mpi *	A,
		mpi *	N
	)

Modular inverse: X = A^-1 mod N.

Returns:

0 if successful, 1 if memory allocation failed, XYSSL_ERR_MPI_BAD_INPUT_DATA if N is negative or nil XYSSL_ERR_MPI_NOT_ACCEPTABLE if A has no inverse 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.

Returns:

0 if successful (probably prime), 1 if memory allocation failed, XYSSL_ERR_MPI_NOT_ACCEPTABLE if X is not prime

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

)

Return the number of least significant bits.

Definition at line 185 of file bignum.c.

References biL, mpi::n, and mpi::p.

Referenced by mpi_is_prime().

int mpi_lset	(	mpi *	X,
		int	z
	)

Set value from integer.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_mod_int	(	t_int *	r,
		mpi *	A,
		int	b
	)

Modulo: r = A mod b.

Returns:

0 if successful, 1 if memory allocation failed, XYSSL_ERR_MPI_DIVISION_BY_ZERO if b == 0

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().

int mpi_mod_mpi	(	mpi *	R,
		mpi *	A,
		mpi *	B
	)

Modulo: R = A mod B.

Returns:

0 if successful, 1 if memory allocation failed, XYSSL_ERR_MPI_DIVISION_BY_ZERO if B == 0

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().

static void mpi_montg_init	(	t_int *	mm,
		mpi *	N
	)			[static]

Definition at line 1259 of file bignum.c.

References biL, and mpi::p.

Referenced by mpi_exp_mod().

static void mpi_montmul	(	mpi *	A,
		mpi *	B,
		mpi *	N,
		t_int	mm,
		mpi *	T
	)			[static]

Definition at line 1277 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().

static void mpi_montred	(	mpi *	A,
		mpi *	N,
		t_int	mm,
		mpi *	T
	)			[static]

Definition at line 1314 of file bignum.c.

References mpi_montmul(), mpi::n, mpi::p, and mpi::s.

Referenced by mpi_exp_mod().

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().

static void mpi_mul_hlp	(	int	i,
		t_int *	s,
		t_int *	d,
		t_int	b
	)			[static]

Definition at line 892 of file bignum.c.

References MULADDC_CORE, MULADDC_INIT, and MULADDC_STOP.

Referenced by mpi_montmul(), and mpi_mul_mpi().

int mpi_mul_int	(	mpi *	X,
		mpi *	A,
		t_int	b
	)

Baseline multiplication: X = A * b.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_mul_mpi	(	mpi *	X,
		mpi *	A,
		mpi *	B
	)

Baseline multiplication: X = A * B.

Returns:

0 if successful, 1 if memory allocation failed

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.

Parameters:

	X	destination mpi
	buf	input buffer
	buflen	input buffer size

Returns:

0 if successful, 1 if memory allocation failed

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.

Parameters:

	X	destination mpi
	radix	input numeric base
	fin	input file handle

Returns:

0 if successful, or an XYSSL_ERR_MPI_XXX error code

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.

Parameters:

	X	destination mpi
	radix	input numeric base
	s	null-terminated string buffer

Returns:

0 if successful, or an XYSSL_ERR_MPI_XXX error code

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.

Returns:

0 if successful, or 1 if the test failed

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.

Returns:

0 if successful, 1 if memory allocation failed

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.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_sub_abs	(	mpi *	X,
		mpi *	A,
		mpi *	B
	)

Unsigned substraction: X = |A| - |B|.

Returns:

0 if successful, XYSSL_ERR_MPI_NEGATIVE_VALUE if B is greater than A

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().

static void mpi_sub_hlp	(	int	n,
		t_int *	s,
		t_int *	d
	)			[static]

Definition at line 740 of file bignum.c.

Referenced by mpi_montmul(), and mpi_sub_abs().

int mpi_sub_int	(	mpi *	X,
		mpi *	A,
		int	b
	)

Signed substraction: X = A - b.

Returns:

0 if successful, 1 if memory allocation failed

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().

int mpi_sub_mpi	(	mpi *	X,
		mpi *	A,
		mpi *	B
	)

Signed substraction: X = A - B.

Returns:

0 if successful, 1 if memory allocation failed

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().

void mpi_swap	(	mpi *	X,
		mpi *	Y
	)

Swap the contents of X and Y.

Definition at line 155 of file bignum.c.

Referenced by rsa_gen_key().

int mpi_write_binary	(	mpi *	X,
		unsigned char *	buf,
		int	buflen
	)

Export X into unsigned binary data, big endian.

Parameters:

	X	source mpi
	buf	output buffer
	buflen	output buffer size

Returns:

0 if successful, XYSSL_ERR_MPI_BUFFER_TOO_SMALL if buf isn't large enough

Note:

Call this function with *buflen = 0 to obtain the minimum required buffer size in *buflen.

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.

Parameters:

	p	prefix, can be NULL
	X	source mpi
	radix	output numeric base
	fout	output file handle

Returns:

0 if successful, or an XYSSL_ERR_MPI_XXX error code

Note:

Set fout == NULL to print X on the console.

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().

static int mpi_write_hlp	(	mpi *	X,
		int	radix,
		char **	p
	)			[static]

Definition at line 301 of file bignum.c.

References MPI_CHK, mpi_cmp_int(), mpi_div_int(), mpi_mod_int(), and XYSSL_ERR_MPI_BAD_INPUT_DATA.

Referenced by mpi_write_string().

int mpi_write_string	(	mpi *	X,
		int	radix,
		char *	s,
		int *	slen
	)

Export into an ASCII string.

Parameters:

	X	source mpi
	radix	output numeric base
	s	string buffer
	slen	string buffer size

Returns:

0 if successful, or an XYSSL_ERR_MPI_XXX error code

Note:

Call this function with *slen = 0 to obtain the minimum required buffer size in *slen.

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().

---

Variable Documentation

const int small_prime[] [static]

Initial value:

{
        3,    5,    7,   11,   13,   17,   19,   23,
       29,   31,   37,   41,   43,   47,   53,   59,
       61,   67,   71,   73,   79,   83,   89,   97,
      101,  103,  107,  109,  113,  127,  131,  137,
      139,  149,  151,  157,  163,  167,  173,  179,
      181,  191,  193,  197,  199,  211,  223,  227,
      229,  233,  239,  241,  251,  257,  263,  269,
      271,  277,  281,  283,  293,  307,  311,  313,
      317,  331,  337,  347,  349,  353,  359,  367,
      373,  379,  383,  389,  397,  401,  409,  419,
      421,  431,  433,  439,  443,  449,  457,  461,
      463,  467,  479,  487,  491,  499,  503,  509,
      521,  523,  541,  547,  557,  563,  569,  571,
      577,  587,  593,  599,  601,  607,  613,  617,
      619,  631,  641,  643,  647,  653,  659,  661,
      673,  677,  683,  691,  701,  709,  719,  727,
      733,  739,  743,  751,  757,  761,  769,  773,
      787,  797,  809,  811,  821,  823,  827,  829,
      839,  853,  857,  859,  863,  877,  881,  883,
      887,  907,  911,  919,  929,  937,  941,  947,
      953,  967,  971,  977,  983,  991,  997, -103
}

Definition at line 1639 of file bignum.c.

Referenced by mpi_is_prime().