/* 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; }