/* * Copyright (C) 2012 Michael Brown . * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License as * published by the Free Software Foundation; either version 2 of the * License, or any later version. * * This program is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA * 02110-1301, USA. * * You can also choose to distribute this program under the terms of * the Unmodified Binary Distribution Licence (as given in the file * COPYING.UBDL), provided that you have satisfied its requirements. */ FILE_LICENCE ( GPL2_OR_LATER_OR_UBDL ); #include #include #include /** @file * * Big integer support */ /** * Multiply big integers * * @v multiplicand0 Element 0 of big integer to be multiplied * @v multiplier0 Element 0 of big integer to be multiplied * @v result0 Element 0 of big integer to hold result * @v size Number of elements */ void bigint_multiply_raw ( const uint32_t *multiplicand0, const uint32_t *multiplier0, uint32_t *result0, unsigned int size ) { const bigint_t ( size ) __attribute__ (( may_alias )) *multiplicand = ( ( const void * ) multiplicand0 ); const bigint_t ( size ) __attribute__ (( may_alias )) *multiplier = ( ( const void * ) multiplier0 ); bigint_t ( size * 2 ) __attribute__ (( may_alias )) *result = ( ( void * ) result0 ); unsigned int i; unsigned int j; uint32_t multiplicand_element; uint32_t multiplier_element; uint32_t *result_elements; uint32_t discard_a; uint32_t discard_d; long index; /* Zero result */ memset ( result, 0, sizeof ( *result ) ); /* Multiply integers one element at a time */ for ( i = 0 ; i < size ; i++ ) { multiplicand_element = multiplicand->element[i]; for ( j = 0 ; j < size ; j++ ) { multiplier_element = multiplier->element[j]; result_elements = &result->element[ i + j ]; /* Perform a single multiply, and add the * resulting double-element into the result, * carrying as necessary. The carry can * never overflow beyond the end of the * result, since: * * a < 2^{n}, b < 2^{n} => ab < 2^{2n} */ __asm__ __volatile__ ( "mull %4\n\t" "addl %%eax, (%5,%2,4)\n\t" "adcl %%edx, 4(%5,%2,4)\n\t" "\n1:\n\t" "adcl $0, 8(%5,%2,4)\n\t" "inc %2\n\t" /* Does not affect CF */ "jc 1b\n\t" : "=&a" ( discard_a ), "=&d" ( discard_d ), "=&r" ( index ) : "0" ( multiplicand_element ), "g" ( multiplier_element ), "r" ( result_elements ), "2" ( 0 ) ); } } }