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#ifndef _IPXE_BIGINT_H
#define _IPXE_BIGINT_H
/** @file
*
* Big integer support
*/
FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL );
/**
* Define a big-integer type
*
* @v size Number of elements
* @ret bigint_t Big integer type
*/
#define bigint_t( size ) \
struct { \
bigint_element_t element[ (size) ]; \
}
/**
* Determine number of elements required for a big-integer type
*
* @v len Maximum length of big integer, in bytes
* @ret size Number of elements
*/
#define bigint_required_size( len ) \
( ( (len) + sizeof ( bigint_element_t ) - 1 ) / \
sizeof ( bigint_element_t ) )
/**
* Determine number of elements in big-integer type
*
* @v bigint Big integer
* @ret size Number of elements
*/
#define bigint_size( bigint ) \
( sizeof ( *(bigint) ) / sizeof ( (bigint)->element[0] ) )
/**
* Initialise big integer
*
* @v value Big integer to initialise
* @v data Raw data
* @v len Length of raw data
*/
#define bigint_init( value, data, len ) do { \
unsigned int size = bigint_size (value); \
assert ( (len) <= ( size * sizeof ( (value)->element[0] ) ) ); \
bigint_init_raw ( (value)->element, size, (data), (len) ); \
} while ( 0 )
/**
* Finalise big integer
*
* @v value Big integer to finalise
* @v out Output buffer
* @v len Length of output buffer
*/
#define bigint_done( value, out, len ) do { \
unsigned int size = bigint_size (value); \
bigint_done_raw ( (value)->element, size, (out), (len) ); \
} while ( 0 )
/**
* Add big integers
*
* @v addend Big integer to add
* @v value Big integer to be added to
*/
#define bigint_add( addend, value ) do { \
unsigned int size = bigint_size (addend); \
bigint_add_raw ( (addend)->element, (value)->element, size ); \
} while ( 0 )
/**
* Subtract big integers
*
* @v subtrahend Big integer to subtract
* @v value Big integer to be subtracted from
*/
#define bigint_subtract( subtrahend, value ) do { \
unsigned int size = bigint_size (subtrahend); \
bigint_subtract_raw ( (subtrahend)->element, (value)->element, \
size ); \
} while ( 0 )
/**
* Rotate big integer left
*
* @v value Big integer
*/
#define bigint_rol( value ) do { \
unsigned int size = bigint_size (value); \
bigint_rol_raw ( (value)->element, size ); \
} while ( 0 )
/**
* Rotate big integer right
*
* @v value Big integer
*/
#define bigint_ror( value ) do { \
unsigned int size = bigint_size (value); \
bigint_ror_raw ( (value)->element, size ); \
} while ( 0 )
/**
* Test if big integer is equal to zero
*
* @v value Big integer
* @v size Number of elements
* @ret is_zero Big integer is equal to zero
*/
#define bigint_is_zero( value ) ( { \
unsigned int size = bigint_size (value); \
bigint_is_zero_raw ( (value)->element, size ); } )
/**
* Compare big integers
*
* @v value Big integer
* @v reference Reference big integer
* @ret geq Big integer is greater than or equal to the reference
*/
#define bigint_is_geq( value, reference ) ( { \
unsigned int size = bigint_size (value); \
bigint_is_geq_raw ( (value)->element, (reference)->element, \
size ); } )
/**
* Test if bit is set in big integer
*
* @v value Big integer
* @v bit Bit to test
* @ret is_set Bit is set
*/
#define bigint_bit_is_set( value, bit ) ( { \
unsigned int size = bigint_size (value); \
bigint_bit_is_set_raw ( (value)->element, size, bit ); } )
/**
* Find highest bit set in big integer
*
* @v value Big integer
* @ret max_bit Highest bit set + 1 (or 0 if no bits set)
*/
#define bigint_max_set_bit( value ) ( { \
unsigned int size = bigint_size (value); \
bigint_max_set_bit_raw ( (value)->element, size ); } )
/**
* Grow big integer
*
* @v source Source big integer
* @v dest Destination big integer
*/
#define bigint_grow( source, dest ) do { \
unsigned int source_size = bigint_size (source); \
unsigned int dest_size = bigint_size (dest); \
bigint_grow_raw ( (source)->element, source_size, \
(dest)->element, dest_size ); \
} while ( 0 )
/**
* Shrink big integer
*
* @v source Source big integer
* @v dest Destination big integer
*/
#define bigint_shrink( source, dest ) do { \
unsigned int source_size = bigint_size (source); \
unsigned int dest_size = bigint_size (dest); \
bigint_shrink_raw ( (source)->element, source_size, \
(dest)->element, dest_size ); \
} while ( 0 )
/**
* Multiply big integers
*
* @v multiplicand Big integer to be multiplied
* @v multiplier Big integer to be multiplied
* @v result Big integer to hold result
*/
#define bigint_multiply( multiplicand, multiplier, result ) do { \
unsigned int size = bigint_size (multiplicand); \
bigint_multiply_raw ( (multiplicand)->element, \
(multiplier)->element, (result)->element, \
size ); \
} while ( 0 )
/**
* Perform modular multiplication of big integers
*
* @v multiplicand Big integer to be multiplied
* @v multiplier Big integer to be multiplied
* @v modulus Big integer modulus
* @v result Big integer to hold result
* @v tmp Temporary working space
*/
#define bigint_mod_multiply( multiplicand, multiplier, modulus, \
result, tmp ) do { \
unsigned int size = bigint_size (multiplicand); \
bigint_mod_multiply_raw ( (multiplicand)->element, \
(multiplier)->element, \
(modulus)->element, \
(result)->element, size, tmp ); \
} while ( 0 )
/**
* Calculate temporary working space required for moduluar multiplication
*
* @v modulus Big integer modulus
* @ret len Length of temporary working space
*/
#define bigint_mod_multiply_tmp_len( modulus ) ( { \
unsigned int size = bigint_size (modulus); \
sizeof ( struct { \
bigint_t ( size * 2 ) temp_result; \
bigint_t ( size * 2 ) temp_modulus; \
} ); } )
/**
* Perform modular exponentiation of big integers
*
* @v base Big integer base
* @v modulus Big integer modulus
* @v exponent Big integer exponent
* @v result Big integer to hold result
* @v tmp Temporary working space
*/
#define bigint_mod_exp( base, modulus, exponent, result, tmp ) do { \
unsigned int size = bigint_size (base); \
unsigned int exponent_size = bigint_size (exponent); \
bigint_mod_exp_raw ( (base)->element, (modulus)->element, \
(exponent)->element, (result)->element, \
size, exponent_size, tmp ); \
} while ( 0 )
/**
* Calculate temporary working space required for moduluar exponentiation
*
* @v modulus Big integer modulus
* @v exponent Big integer exponent
* @ret len Length of temporary working space
*/
#define bigint_mod_exp_tmp_len( modulus, exponent ) ( { \
unsigned int size = bigint_size (modulus); \
unsigned int exponent_size = bigint_size (exponent); \
size_t mod_multiply_len = \
bigint_mod_multiply_tmp_len (modulus); \
sizeof ( struct { \
bigint_t ( size ) temp_base; \
bigint_t ( exponent_size ) temp_exponent; \
uint8_t mod_multiply[mod_multiply_len]; \
} ); } )
#include <bits/bigint.h>
void bigint_init_raw ( bigint_element_t *value0, unsigned int size,
const void *data, size_t len );
void bigint_done_raw ( const bigint_element_t *value0, unsigned int size,
void *out, size_t len );
void bigint_add_raw ( const bigint_element_t *addend0,
bigint_element_t *value0, unsigned int size );
void bigint_subtract_raw ( const bigint_element_t *subtrahend0,
bigint_element_t *value0, unsigned int size );
void bigint_rol_raw ( bigint_element_t *value0, unsigned int size );
void bigint_ror_raw ( bigint_element_t *value0, unsigned int size );
int bigint_is_zero_raw ( const bigint_element_t *value0, unsigned int size );
int bigint_is_geq_raw ( const bigint_element_t *value0,
const bigint_element_t *reference0,
unsigned int size );
int bigint_bit_is_set_raw ( const bigint_element_t *value0, unsigned int size,
unsigned int bit );
int bigint_max_set_bit_raw ( const bigint_element_t *value0,
unsigned int size );
void bigint_grow_raw ( const bigint_element_t *source0,
unsigned int source_size, bigint_element_t *dest0,
unsigned int dest_size );
void bigint_shrink_raw ( const bigint_element_t *source0,
unsigned int source_size, bigint_element_t *dest0,
unsigned int dest_size );
void bigint_multiply_raw ( const bigint_element_t *multiplicand0,
const bigint_element_t *multiplier0,
bigint_element_t *result0,
unsigned int size );
void bigint_mod_multiply_raw ( const bigint_element_t *multiplicand0,
const bigint_element_t *multiplier0,
const bigint_element_t *modulus0,
bigint_element_t *result0,
unsigned int size, void *tmp );
void bigint_mod_exp_raw ( const bigint_element_t *base0,
const bigint_element_t *modulus0,
const bigint_element_t *exponent0,
bigint_element_t *result0,
unsigned int size, unsigned int exponent_size,
void *tmp );
#endif /* _IPXE_BIGINT_H */
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