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ipxe/src/arch/s390x/include/bits/bigint.h
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#ifndef _BITS_BIGINT_H
#define _BITS_BIGINT_H
/** @file
*
* Big integer support
*/
FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL );
#include <stdint.h>
/** Element of a big integer */
typedef unsigned long bigint_element_t;
/**
* 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
* @ret carry Carry out
*/
static inline __attribute__ (( always_inline )) int
bigint_add_raw ( const unsigned long *addend0, unsigned long *value0,
unsigned int size ) {
bigint_t ( size ) __attribute__ (( may_alias )) *addend =
( ( void * ) addend0 );
bigint_t ( size ) __attribute__ (( may_alias )) *value =
( ( void * ) value0 );
unsigned long discard_offset;
unsigned long discard_temp;
unsigned int index_carry;
__asm__ ( /* Zero offset and clear carry-in */
"xgr %0, %0\n\t"
/* Add element by element */
"\n1:\n\t"
"lg %1, %O3(%0, %R3)\n\t"
"alcg %1, %O4(%0, %R4)\n\t"
"stg %1, %O3(%0, %R3)\n\t"
"la %0, 8(%0)\n\t"
"brct %2, 1b\n\t"
/* Obtain carry-out */
"alcr %2, %2\n\t"
: "=&a" ( discard_offset ),
"=&r" ( discard_temp ),
"=&r" ( index_carry ),
"+S" ( *value )
: "S" ( *addend ),
"2" ( size ) );
return index_carry;
}
/**
* 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
* @ret borrow Borrow out
*/
static inline __attribute__ (( always_inline )) int
bigint_subtract_raw ( const unsigned long *subtrahend0, unsigned long *value0,
unsigned int size ) {
bigint_t ( size ) __attribute__ (( may_alias )) *subtrahend =
( ( void * ) subtrahend0 );
bigint_t ( size ) __attribute__ (( may_alias )) *value =
( ( void * ) value0 );
unsigned long discard_offset;
unsigned long discard_temp;
unsigned int index_borrow;
__asm__ ( /* Zero offset and clear (inverted) borrow-in */
"slgr %0, %0\n\t"
/* Subtract element by element */
"\n1:\n\t"
"lg %1, %O3(%0, %R3)\n\t"
"slbg %1, %O4(%0, %R4)\n\t"
"stg %1, %O3(%0, %R3)\n\t"
"la %0, 8(%0)\n\t"
"brct %2, 1b\n\t"
/* Obtain (negative) borrow-out */
"slbr %2, %2\n\t"
: "=&a" ( discard_offset ),
"=&r" ( discard_temp ),
"=&r" ( index_borrow ),
"+S" ( *value )
: "S" ( *subtrahend ),
"2" ( size ) );
return ( -index_borrow );
}
/**
* Shift big integer left
*
* @v value0 Element 0 of big integer
* @v size Number of elements
* @ret out Bit shifted out
*/
static inline __attribute__ (( always_inline )) int
bigint_shl_raw ( unsigned long *value0, unsigned int size ) {
bigint_t ( size ) __attribute__ (( may_alias )) *value =
( ( void * ) value0 );
unsigned long discard_offset;
unsigned long discard_temp;
unsigned int discard_index;
unsigned int carry;
__asm__ ( /* Shift element by element */
"\n1:\n\t"
"lg %1, %O4(%0, %R4)\n\t"
"risbg %3, %1, 0, 62, 1\n\t"
"stg %3, %O4(%0, %R4)\n\t"
"srlg %3, %1, 63\n\t"
"la %0, 8(%0)\n\t"
"brct %2, 1b\n\t"
: "=&a" ( discard_offset ),
"=&r" ( discard_temp ),
"=&r" ( discard_index ),
"=&r" ( carry ),
"+S" ( *value )
: "0" ( 0UL ),
"2" ( size ),
"3" ( 0U ) );
return carry;
}
/**
* Shift big integer right
*
* @v value0 Element 0 of big integer
* @v size Number of elements
* @ret out Bit shifted out
*/
static inline __attribute__ (( always_inline )) int
bigint_shr_raw ( unsigned long *value0, unsigned int size ) {
bigint_t ( size ) __attribute__ (( may_alias )) *value =
( ( void * ) value0 );
unsigned long discard_offset;
unsigned long discard_temp;
unsigned int carry;
__asm__ ( /* Shift element by element */
"\n1:\n\t"
"sllg %1, %2, 63\n\t"
"lg %2, (%O3 - 8)(%0, %R3)\n\t"
"risbg %1, %2, 1, 63, 63\n\t"
"stg %1, (%O3 - 8)(%0, %R3)\n\t"
"aghi %0, -8\n\t"
"jnz 1b\n\t"
: "=&a" ( discard_offset ),
"=&r" ( discard_temp ),
"=&r" ( carry ),
"+S" ( *value )
: "0" ( sizeof ( *value ) ),
"2" ( 0 ) );
return ( carry & 1 );
}
/**
* 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 unsigned long *source0, unsigned int source_size,
unsigned long *dest0, unsigned int dest_size ) {
const bigint_t ( source_size ) __attribute__ (( may_alias )) *source =
( ( const void * ) source0 );
bigint_t ( dest_size ) __attribute__ (( may_alias )) *dest =
( ( void * ) dest0 );
struct s390x_pointer_pair spair = { source, sizeof ( *source ) };
struct s390x_pointer_pair dpair = { dest, sizeof ( *dest ) };
__asm__ ( /* Copy source to destination, zero-padding as needed */
"\n1:\n\t"
"mvcle %0, %1, 0\n\t"
"jo 1b\n\t"
: "+r" ( dpair ), "+r" ( spair ), "=m" ( *dest )
: "m" ( *source ) );
}
/**
* 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 unsigned long *source0, unsigned int source_size,
unsigned long *dest0, unsigned int dest_size ) {
const bigint_t ( source_size ) __attribute__ (( may_alias )) *source =
( ( const void * ) source0 );
bigint_t ( dest_size ) __attribute__ (( may_alias )) *dest =
( ( void * ) dest0 );
struct s390x_pointer_pair spair = { source, sizeof ( *source ) };
struct s390x_pointer_pair dpair = { dest, sizeof ( *dest ) };
__asm__ ( /* Copy source to destination, truncating if needed */
"\n1:\n\t"
"mvcle %0, %1, 0\n\t"
"jo 1b\n\t"
: "+r" ( dpair ), "+r" ( spair ), "=m" ( *dest )
: "m" ( *source ) );
}
/**
* Multiply big integer elements
*
* @v multiplicand Multiplicand element
* @v multiplier Multiplier element
* @v result Result element
* @v carry Carry element
*/
static inline __attribute__ (( always_inline )) void
bigint_multiply_one ( const unsigned long multiplicand,
const unsigned long multiplier,
unsigned long *result, unsigned long *carry ) {
struct s390x_scalar_pair pair;
__asm__ ( /* Perform multiplication */
"lgr %N0, %3\n\t"
"mlgr %0, %4\n\t"
/* Add carry-in */
"algr %N0, %2\n\t"
"slbgr %2, %2\n\t"
"aghi %2, 1\n\t"
/* Accumulate result */
"alg %N0, %1\n\t"
"stg %N0, %1\n\t"
/* Accumulate carry-out */
"alcgr %2, %0\n\t"
: "=&r" ( pair ),
"+T" ( *result ),
"+r" ( *carry )
: "r" ( multiplicand ),
"r" ( multiplier ) );
}
#endif /* _BITS_BIGINT_H */