/* mpi-add.c - MPI functions * Copyright (C) 1994, 1996, 1998, 2001, 2002, 2003 Free Software Foundation, Inc. * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt 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 Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser 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. */ #include #include #include #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 _gcry_mpi_add_ui (gcry_mpi_t w, gcry_mpi_t 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 = _gcry_mpih_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 { _gcry_mpih_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 _gcry_mpi_add(gcry_mpi_t w, gcry_mpi_t u, gcry_mpi_t 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 ) { _gcry_mpih_sub(wp, up, usize, vp, vsize); wsize = usize; MPN_NORMALIZE(wp, wsize); wsign = usign; } else if( _gcry_mpih_cmp(up, vp, usize) < 0 ) { _gcry_mpih_sub_n(wp, vp, up, usize); wsize = usize; MPN_NORMALIZE(wp, wsize); if( !usign ) wsign = 1; } else { _gcry_mpih_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 = _gcry_mpih_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 _gcry_mpi_sub_ui(gcry_mpi_t w, gcry_mpi_t 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 = _gcry_mpih_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 { _gcry_mpih_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 _gcry_mpi_sub(gcry_mpi_t w, gcry_mpi_t u, gcry_mpi_t v) { gcry_mpi_t vv = mpi_copy (v); vv->sign = ! vv->sign; mpi_add (w, u, vv); mpi_free (vv); } void _gcry_mpi_addm( gcry_mpi_t w, gcry_mpi_t u, gcry_mpi_t v, gcry_mpi_t m) { mpi_add (w, u, v); mpi_mod (w, w, m); } void _gcry_mpi_subm( gcry_mpi_t w, gcry_mpi_t u, gcry_mpi_t v, gcry_mpi_t m) { mpi_sub (w, u, v); mpi_mod (w, w, m); }