/home/dko/projects/mobilec/trunk/src/security/xyssl-0.9/include/xyssl/bignum.h File Reference

#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_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.

Detailed Description

Definition in file bignum.h.

Define Documentation

#define MPI_CHK ( f ) if( ( ret = f ) != 0 ) goto cleanup

Definition at line 17 of file bignum.h.

#define XYSSL_ERR_MPI_BAD_INPUT_DATA -0x0004

Definition at line 10 of file bignum.h.

#define XYSSL_ERR_MPI_BUFFER_TOO_SMALL -0x0008

Definition at line 12 of file bignum.h.

#define XYSSL_ERR_MPI_DIVISION_BY_ZERO -0x000C

Definition at line 14 of file bignum.h.

#define XYSSL_ERR_MPI_FILE_IO_ERROR -0x0002

Definition at line 9 of file bignum.h.

#define XYSSL_ERR_MPI_INVALID_CHARACTER -0x0006

Definition at line 11 of file bignum.h.

#define XYSSL_ERR_MPI_NEGATIVE_VALUE -0x000A

Definition at line 13 of file bignum.h.

#define XYSSL_ERR_MPI_NOT_ACCEPTABLE -0x000E

Definition at line 15 of file bignum.h.

Typedef Documentation

typedef unsigned long long t_dbl

Definition at line 39 of file bignum.h.

typedef unsigned long t_int

Definition at line 30 of file bignum.h.

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

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

Signed addition: X = A + b.

Returns:
0 if successful, 1 if memory allocation failed

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

Signed addition: X = A + B.

Returns:
0 if successful, 1 if memory allocation failed

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|

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

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

int mpi_copy ( mpi * X,
mpi * Y
)

Copy the contents of Y into X.

Returns:
0 if successful, 1 if memory allocation failed

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.

Referenced by main().

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.

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.

Referenced by main().

void mpi_free ( mpi * X,
...
)

Unallocate one or more mpi.

Referenced by main().

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

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

Referenced by main().

int mpi_grow ( mpi * X,
int nblimbs
)

Enlarge to the specified number of limbs.

Returns:
0 if successful, 1 if memory allocation failed

void mpi_init ( mpi * X,
...
)

Initialize one or more mpi.

Referenced by main().

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

Referenced by main().

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

Referenced by main().

int mpi_lsb ( mpi * X )

Return the number of least significant bits.

int mpi_lset ( mpi * X,
int z
)

Set value from integer.

Returns:
0 if successful, 1 if memory allocation failed

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

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

int mpi_msb ( mpi * X )

Return the number of most significant bits.

Referenced by d2i_RSA_PUBKEY(), and main().

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

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

Baseline multiplication: X = A * B.

Returns:
0 if successful, 1 if memory allocation failed

Referenced by main().

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

Referenced by d2i_RSA_PUBKEY().

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

Referenced by main().

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

Referenced by main().

int mpi_self_test ( int verbose )

Checkup routine.

Returns:
0 if successful, or 1 if the test failed

Referenced by main().

int mpi_shift_l ( mpi * X,
int count
)

Left-shift: X <<= count.

Returns:
0 if successful, 1 if memory allocation failed

int mpi_shift_r ( mpi * X,
int count
)

Right-shift: X >>= count.

Returns:
0 if successful, 1 if memory allocation failed

int mpi_size ( mpi * X )

Return the total size in bytes.

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

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

Signed substraction: X = A - b.

Returns:
0 if successful, 1 if memory allocation failed

Referenced by main().

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

Signed substraction: X = A - B.

Returns:
0 if successful, 1 if memory allocation failed

void mpi_swap ( mpi * X,
mpi * Y
)

Swap the contents of X and Y.

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.

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.

Referenced by main().

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.

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