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#ifndef _BITS_BIGINT_H
#define _BITS_BIGINT_H
/** @file
*
* Big integer support
*/
FILE_LICENCE ( GPL2_OR_LATER );
#include <stdint.h>
#include <string.h>
/** Element of a big integer */
typedef uint32_t bigint_element_t;
/**
* Initialise big integer
*
* @v value0 Element 0 of big integer to initialise
* @v size Number of elements
* @v data Raw data
* @v len Length of raw data
*/
static inline __attribute__ (( always_inline )) void
bigint_init_raw ( uint32_t *value0, unsigned int size,
const void *data, size_t len ) {
long pad_len = ( sizeof ( bigint_t ( size ) ) - len );
void *discard_D;
long discard_c;
/* Copy raw data in reverse order, padding with zeros */
__asm__ __volatile__ ( "\n1:\n\t"
"movb -1(%2,%1), %%al\n\t"
"stosb\n\t"
"loop 1b\n\t"
"xorl %%eax, %%eax\n\t"
"mov %3, %1\n\t"
"rep stosb\n\t"
: "=&D" ( discard_D ), "=&c" ( discard_c )
: "r" ( data ), "g" ( pad_len ), "0" ( value0 ),
"1" ( len )
: "eax" );
}
/**
* Add big integers
*
* @v addend0 Element 0 of big integer to add
* @v value0 Element 0 of big integer to be added to
* @v size Number of elements
*/
static inline __attribute__ (( always_inline )) void
bigint_add_raw ( const uint32_t *addend0, uint32_t *value0,
unsigned int size ) {
long index;
void *discard_S;
long discard_c;
__asm__ __volatile__ ( "xor %0, %0\n\t" /* Zero %0 and clear CF */
"\n1:\n\t"
"lodsl\n\t"
"adcl %%eax, (%3,%0,4)\n\t"
"inc %0\n\t" /* Does not affect CF */
"loop 1b\n\t"
: "=&r" ( index ), "=&S" ( discard_S ),
"=&c" ( discard_c )
: "r" ( value0 ), "1" ( addend0 ), "2" ( size )
: "eax" );
}
/**
* Subtract big integers
*
* @v subtrahend0 Element 0 of big integer to subtract
* @v value0 Element 0 of big integer to be subtracted from
* @v size Number of elements
*/
static inline __attribute__ (( always_inline )) void
bigint_subtract_raw ( const uint32_t *subtrahend0, uint32_t *value0,
unsigned int size ) {
long index;
void *discard_S;
long discard_c;
__asm__ __volatile__ ( "xor %0, %0\n\t" /* Zero %0 and clear CF */
"\n1:\n\t"
"lodsl\n\t"
"sbbl %%eax, (%3,%0,4)\n\t"
"inc %0\n\t" /* Does not affect CF */
"loop 1b\n\t"
: "=&r" ( index ), "=&S" ( discard_S ),
"=&c" ( discard_c )
: "r" ( value0 ), "1" ( subtrahend0 ),
"2" ( size )
: "eax" );
}
/**
* Rotate big integer left
*
* @v value0 Element 0 of big integer
* @v size Number of elements
*/
static inline __attribute__ (( always_inline )) void
bigint_rol_raw ( uint32_t *value0, unsigned int size ) {
long index;
long discard_c;
__asm__ __volatile__ ( "xor %0, %0\n\t" /* Zero %0 and clear CF */
"\n1:\n\t"
"rcll $1, (%2,%0,4)\n\t"
"inc %0\n\t" /* Does not affect CF */
"loop 1b\n\t"
: "=&r" ( index ), "=&c" ( discard_c )
: "r" ( value0 ), "1" ( size ) );
}
/**
* Rotate big integer right
*
* @v value0 Element 0 of big integer
* @v size Number of elements
*/
static inline __attribute__ (( always_inline )) void
bigint_ror_raw ( uint32_t *value0, unsigned int size ) {
long discard_c;
__asm__ __volatile__ ( "clc\n\t"
"\n1:\n\t"
"rcrl $1, -4(%1,%0,4)\n\t"
"loop 1b\n\t"
: "=&c" ( discard_c )
: "r" ( value0 ), "0" ( size ) );
}
/**
* Test if big integer is equal to zero
*
* @v value0 Element 0 of big integer
* @v size Number of elements
* @ret is_zero Big integer is equal to zero
*/
static inline __attribute__ (( always_inline, pure )) int
bigint_is_zero_raw ( const uint32_t *value0, unsigned int size ) {
void *discard_D;
long discard_c;
int result;
__asm__ __volatile__ ( "xor %0, %0\n\t" /* Set ZF */
"repe scasl\n\t"
"sete %b0\n\t"
: "=&a" ( result ), "=&D" ( discard_D ),
"=&c" ( discard_c )
: "1" ( value0 ), "2" ( size ) );
return result;
}
/**
* Compare big integers
*
* @v value0 Element 0 of big integer
* @v reference0 Element 0 of reference big integer
* @v size Number of elements
* @ret geq Big integer is greater than or equal to the reference
*/
static inline __attribute__ (( always_inline, pure )) int
bigint_is_geq_raw ( const uint32_t *value0, const uint32_t *reference0,
unsigned int size ) {
const bigint_t ( size ) __attribute__ (( may_alias )) *value =
( ( const void * ) value0 );
const bigint_t ( size ) __attribute__ (( may_alias )) *reference =
( ( const void * ) reference0 );
void *discard_S;
void *discard_D;
long discard_c;
int result;
__asm__ __volatile__ ( "std\n\t"
"\n1:\n\t"
"lodsl\n\t"
"scasl\n\t"
"loope 1b\n\t"
"setae %b0\n\t"
"cld\n\t"
: "=q" ( result ), "=&S" ( discard_S ),
"=&D" ( discard_D ), "=&c" ( discard_c )
: "0" ( 0 ), "1" ( &value->element[ size - 1 ] ),
"2" ( &reference->element[ size - 1 ] ),
"3" ( size )
: "eax" );
return result;
}
/**
* Test if bit is set in big integer
*
* @v value0 Element 0 of big integer
* @v size Number of elements
* @v bit Bit to test
* @ret is_set Bit is set
*/
static inline __attribute__ (( always_inline )) int
bigint_bit_is_set_raw ( const uint32_t *value0, unsigned int size,
unsigned int bit ) {
const bigint_t ( size ) __attribute__ (( may_alias )) *value =
( ( const void * ) value0 );
unsigned int index = ( bit / ( 8 * sizeof ( value->element[0] ) ) );
unsigned int subindex = ( bit % ( 8 * sizeof ( value->element[0] ) ) );
return ( value->element[index] & ( 1 << subindex ) );
}
/**
* Find highest bit set in big integer
*
* @v value0 Element 0 of big integer
* @v size Number of elements
* @ret max_bit Highest bit set + 1 (or 0 if no bits set)
*/
static inline __attribute__ (( always_inline )) int
bigint_max_set_bit_raw ( const uint32_t *value0, unsigned int size ) {
long discard_c;
int result;
__asm__ __volatile__ ( "\n1:\n\t"
"bsrl -4(%2,%1,4), %0\n\t"
"loopz 1b\n\t"
"rol %1\n\t" /* Does not affect ZF */
"rol %1\n\t"
"leal 1(%k0,%k1,8), %k0\n\t"
"jnz 2f\n\t"
"xor %0, %0\n\t"
"\n2:\n\t"
: "=&r" ( result ), "=&c" ( discard_c )
: "r" ( value0 ), "1" ( size ) );
return result;
}
/**
* Grow big integer
*
* @v source0 Element 0 of source big integer
* @v source_size Number of elements in source big integer
* @v dest0 Element 0 of destination big integer
* @v dest_size Number of elements in destination big integer
*/
static inline __attribute__ (( always_inline )) void
bigint_grow_raw ( const uint32_t *source0, unsigned int source_size,
uint32_t *dest0, unsigned int dest_size ) {
long pad_size = ( dest_size - source_size );
void *discard_D;
void *discard_S;
long discard_c;
__asm__ __volatile__ ( "rep movsl\n\t"
"xorl %%eax, %%eax\n\t"
"mov %3, %2\n\t"
"rep stosl\n\t"
: "=&D" ( discard_D ), "=&S" ( discard_S ),
"=&c" ( discard_c )
: "g" ( pad_size ), "0" ( dest0 ),
"1" ( source0 ), "2" ( source_size )
: "eax" );
}
/**
* Shrink big integer
*
* @v source0 Element 0 of source big integer
* @v source_size Number of elements in source big integer
* @v dest0 Element 0 of destination big integer
* @v dest_size Number of elements in destination big integer
*/
static inline __attribute__ (( always_inline )) void
bigint_shrink_raw ( const uint32_t *source0, unsigned int source_size __unused,
uint32_t *dest0, unsigned int dest_size ) {
void *discard_D;
void *discard_S;
long discard_c;
__asm__ __volatile__ ( "rep movsl\n\t"
: "=&D" ( discard_D ), "=&S" ( discard_S ),
"=&c" ( discard_c )
: "0" ( dest0 ), "1" ( source0 ),
"2" ( dest_size )
: "eax" );
}
/**
* Finalise big integer
*
* @v value0 Element 0 of big integer to finalise
* @v size Number of elements
* @v out Output buffer
* @v len Length of output buffer
*/
static inline __attribute__ (( always_inline )) void
bigint_done_raw ( const uint32_t *value0, unsigned int size __unused,
void *out, size_t len ) {
void *discard_D;
long discard_c;
/* Copy raw data in reverse order */
__asm__ __volatile__ ( "\n1:\n\t"
"movb -1(%2,%1), %%al\n\t"
"stosb\n\t"
"loop 1b\n\t"
: "=&D" ( discard_D ), "=&c" ( discard_c )
: "r" ( value0 ), "0" ( out ), "1" ( len )
: "eax" );
}
extern void bigint_multiply_raw ( const uint32_t *multiplicand0,
const uint32_t *multiplier0,
uint32_t *value0, unsigned int size );
#endif /* _BITS_BIGINT_H */
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