File: mpi-add.c

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/* mpi-add.c  -  MPI functions
 *	Copyright (C) 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
 *	Copyright (C) 1994, 1996 Free Software Foundation, Inc.
 *
 * This file is part of GnuPG.
 *
 * GnuPG 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 3 of the License, or
 * (at your option) any later version.
 *
 * GnuPG 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, see <http://www.gnu.org/licenses/>.
 *
 * Note: This code is heavily based on the GNU MP Library.
 *	 Actually it's the same code with only minor changes in the
 *	 way the data is stored; this is to support the abstraction
 *	 of an optional secure memory allocation which may be used
 *	 to avoid revealing of sensitive data due to paging etc.
 *	 The GNU MP Library itself is published under the LGPL;
 *	 however I decided to publish this code under the plain GPL.
 */

#include <config.h>
#include <stdio.h>
#include <stdlib.h>

#include "mpi-internal.h"


/****************
 * Add the unsigned integer V to the mpi-integer U and store the
 * result in W. U and V may be the same.
 */
void
mpi_add_ui(MPI w, MPI u, unsigned long v )
{
    mpi_ptr_t wp, up;
    mpi_size_t usize, wsize;
    int usign, wsign;

    usize = u->nlimbs;
    usign = u->sign;
    wsign = 0;

    /* If not space for W (and possible carry), increase space.  */
    wsize = usize + 1;
    if( w->alloced < wsize )
	mpi_resize(w, wsize);

    /* These must be after realloc (U may be the same as W).  */
    up = u->d;
    wp = w->d;

    if( !usize ) {  /* simple */
	wp[0] = v;
	wsize = v? 1:0;
    }
    else if( !usign ) {  /* mpi is not negative */
	mpi_limb_t cy;
	cy = mpihelp_add_1(wp, up, usize, v);
	wp[usize] = cy;
	wsize = usize + cy;
    }
    else {  /* The signs are different.  Need exact comparison to determine
	     * which operand to subtract from which.  */
	if( usize == 1 && up[0] < v ) {
	    wp[0] = v - up[0];
	    wsize = 1;
	}
	else {
	    mpihelp_sub_1(wp, up, usize, v);
	    /* Size can decrease with at most one limb. */
	    wsize = usize - (wp[usize-1]==0);
	    wsign = 1;
	}
    }

    w->nlimbs = wsize;
    w->sign   = wsign;
}


void
mpi_add(MPI w, MPI u, MPI v)
{
    mpi_ptr_t wp, up, vp;
    mpi_size_t usize, vsize, wsize;
    int usign, vsign, wsign;

    if( u->nlimbs < v->nlimbs ) { /* Swap U and V. */
	usize = v->nlimbs;
	usign = v->sign;
	vsize = u->nlimbs;
	vsign = u->sign;
	wsize = usize + 1;
	RESIZE_IF_NEEDED(w, wsize);
	/* These must be after realloc (u or v may be the same as w).  */
	up    = v->d;
	vp    = u->d;
    }
    else {
	usize = u->nlimbs;
	usign = u->sign;
	vsize = v->nlimbs;
	vsign = v->sign;
	wsize = usize + 1;
	RESIZE_IF_NEEDED(w, wsize);
	/* These must be after realloc (u or v may be the same as w).  */
	up    = u->d;
	vp    = v->d;
    }
    wp = w->d;
    wsign = 0;

    if( !vsize ) {  /* simple */
	MPN_COPY(wp, up, usize );
	wsize = usize;
	wsign = usign;
    }
    else if( usign != vsign ) { /* different sign */
	/* This test is right since USIZE >= VSIZE */
	if( usize != vsize ) {
	    mpihelp_sub(wp, up, usize, vp, vsize);
	    wsize = usize;
	    MPN_NORMALIZE(wp, wsize);
	    wsign = usign;
	}
	else if( mpihelp_cmp(up, vp, usize) < 0 ) {
	    mpihelp_sub_n(wp, vp, up, usize);
	    wsize = usize;
	    MPN_NORMALIZE(wp, wsize);
	    if( !usign )
		wsign = 1;
	}
	else {
	    mpihelp_sub_n(wp, up, vp, usize);
	    wsize = usize;
	    MPN_NORMALIZE(wp, wsize);
	    if( usign )
		wsign = 1;
	}
    }
    else { /* U and V have same sign. Add them. */
	mpi_limb_t cy = mpihelp_add(wp, up, usize, vp, vsize);
	wp[usize] = cy;
	wsize = usize + cy;
	if( usign )
	    wsign = 1;
    }

    w->nlimbs = wsize;
    w->sign = wsign;
}


/****************
 * Subtract the unsigned integer V from the mpi-integer U and store the
 * result in W.
 */
void
mpi_sub_ui(MPI w, MPI u, unsigned long v )
{
    mpi_ptr_t wp, up;
    mpi_size_t usize, wsize;
    int usign, wsign;

    usize = u->nlimbs;
    usign = u->sign;
    wsign = 0;

    /* If not space for W (and possible carry), increase space.  */
    wsize = usize + 1;
    if( w->alloced < wsize )
	mpi_resize(w, wsize);

    /* These must be after realloc (U may be the same as W).  */
    up = u->d;
    wp = w->d;

    if( !usize ) {  /* simple */
	wp[0] = v;
	wsize = v? 1:0;
	wsign = 1;
    }
    else if( usign ) {	/* mpi and v are negative */
	mpi_limb_t cy;
	cy = mpihelp_add_1(wp, up, usize, v);
	wp[usize] = cy;
	wsize = usize + cy;
    }
    else {  /* The signs are different.  Need exact comparison to determine
	     * which operand to subtract from which.  */
	if( usize == 1 && up[0] < v ) {
	    wp[0] = v - up[0];
	    wsize = 1;
	    wsign = 1;
	}
	else {
	    mpihelp_sub_1(wp, up, usize, v);
	    /* Size can decrease with at most one limb. */
	    wsize = usize - (wp[usize-1]==0);
	}
    }

    w->nlimbs = wsize;
    w->sign   = wsign;
}

void
mpi_sub(MPI w, MPI u, MPI v)
{
    if( w == v ) {
	MPI vv = mpi_copy(v);
	vv->sign = !vv->sign;
	mpi_add( w, u, vv );
	mpi_free(vv);
    }
    else {
	/* fixme: this is not thread-save (we temp. modify v) */
	v->sign = !v->sign;
	mpi_add( w, u, v );
	v->sign = !v->sign;
    }
}


void
mpi_addm( MPI w, MPI u, MPI v, MPI m)
{
    mpi_add(w, u, v);
    mpi_fdiv_r( w, w, m );
}

void
mpi_subm( MPI w, MPI u, MPI v, MPI m)
{
    mpi_sub(w, u, v);
    mpi_fdiv_r( w, w, m );
}