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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 | /* 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; } |