235 lines
		
	
	
	
		
			5.7 KiB
			
		
	
	
	
		
			C
		
	
	
	
	
	
		
		
			
		
	
	
			235 lines
		
	
	
	
		
			5.7 KiB
			
		
	
	
	
		
			C
		
	
	
	
	
	
| 
								 | 
							
								/* 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 2 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, write to the Free Software
							 | 
						||
| 
								 | 
							
								 * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA
							 | 
						||
| 
								 | 
							
								 *
							 | 
						||
| 
								 | 
							
								 * 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 "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.
							 | 
						||
| 
								 | 
							
								 */
							 | 
						||
| 
								 | 
							
								int mpi_add_ui(MPI w, const 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)
							 | 
						||
| 
								 | 
							
										if (mpi_resize(w, wsize) < 0)
							 | 
						||
| 
								 | 
							
											return -ENOMEM;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
									/* 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;
							 | 
						||
| 
								 | 
							
									return 0;
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								int 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;
							 | 
						||
| 
								 | 
							
										if (RESIZE_IF_NEEDED(w, wsize) < 0)
							 | 
						||
| 
								 | 
							
											return -ENOMEM;
							 | 
						||
| 
								 | 
							
										/* 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;
							 | 
						||
| 
								 | 
							
										if (RESIZE_IF_NEEDED(w, wsize) < 0)
							 | 
						||
| 
								 | 
							
											return -ENOMEM;
							 | 
						||
| 
								 | 
							
										/* 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;
							 | 
						||
| 
								 | 
							
									return 0;
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								/****************
							 | 
						||
| 
								 | 
							
								 * Subtract the unsigned integer V from the mpi-integer U and store the
							 | 
						||
| 
								 | 
							
								 * result in W.
							 | 
						||
| 
								 | 
							
								 */
							 | 
						||
| 
								 | 
							
								int 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)
							 | 
						||
| 
								 | 
							
										if (mpi_resize(w, wsize) < 0)
							 | 
						||
| 
								 | 
							
											return -ENOMEM;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
									/* 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;
							 | 
						||
| 
								 | 
							
									return 0;
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								int mpi_sub(MPI w, MPI u, MPI v)
							 | 
						||
| 
								 | 
							
								{
							 | 
						||
| 
								 | 
							
									int rc;
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
									if (w == v) {
							 | 
						||
| 
								 | 
							
										MPI vv;
							 | 
						||
| 
								 | 
							
										if (mpi_copy(&vv, v) < 0)
							 | 
						||
| 
								 | 
							
											return -ENOMEM;
							 | 
						||
| 
								 | 
							
										vv->sign = !vv->sign;
							 | 
						||
| 
								 | 
							
										rc = mpi_add(w, u, vv);
							 | 
						||
| 
								 | 
							
										mpi_free(vv);
							 | 
						||
| 
								 | 
							
									} else {
							 | 
						||
| 
								 | 
							
										/* fixme: this is not thread-save (we temp. modify v) */
							 | 
						||
| 
								 | 
							
										v->sign = !v->sign;
							 | 
						||
| 
								 | 
							
										rc = mpi_add(w, u, v);
							 | 
						||
| 
								 | 
							
										v->sign = !v->sign;
							 | 
						||
| 
								 | 
							
									}
							 | 
						||
| 
								 | 
							
									return rc;
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								int mpi_addm(MPI w, MPI u, MPI v, MPI m)
							 | 
						||
| 
								 | 
							
								{
							 | 
						||
| 
								 | 
							
									if (mpi_add(w, u, v) < 0 || mpi_fdiv_r(w, w, m) < 0)
							 | 
						||
| 
								 | 
							
										return -ENOMEM;
							 | 
						||
| 
								 | 
							
									return 0;
							 | 
						||
| 
								 | 
							
								}
							 | 
						||
| 
								 | 
							
								
							 | 
						||
| 
								 | 
							
								int mpi_subm(MPI w, MPI u, MPI v, MPI m)
							 | 
						||
| 
								 | 
							
								{
							 | 
						||
| 
								 | 
							
									if (mpi_sub(w, u, v) < 0 || mpi_fdiv_r(w, w, m) < 0)
							 | 
						||
| 
								 | 
							
										return -ENOMEM;
							 | 
						||
| 
								 | 
							
									return 0;
							 | 
						||
| 
								 | 
							
								}
							 |