Randy Dunlap | 8d8472c | 2020-10-15 20:11:14 -0700 | [diff] [blame] | 1 | /* mpi-bit.c - MPI bit level functions |
Dmitry Kasatkin | cdec9cb | 2011-08-31 14:05:16 +0300 | [diff] [blame] | 2 | * Copyright (C) 1998, 1999 Free Software Foundation, Inc. |
| 3 | * |
| 4 | * This file is part of GnuPG. |
| 5 | * |
| 6 | * GnuPG is free software; you can redistribute it and/or modify |
| 7 | * it under the terms of the GNU General Public License as published by |
| 8 | * the Free Software Foundation; either version 2 of the License, or |
| 9 | * (at your option) any later version. |
| 10 | * |
| 11 | * GnuPG is distributed in the hope that it will be useful, |
| 12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 14 | * GNU General Public License for more details. |
| 15 | * |
| 16 | * You should have received a copy of the GNU General Public License |
| 17 | * along with this program; if not, write to the Free Software |
| 18 | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA |
| 19 | */ |
| 20 | |
| 21 | #include "mpi-internal.h" |
| 22 | #include "longlong.h" |
| 23 | |
Dmitry Kasatkin | cdec9cb | 2011-08-31 14:05:16 +0300 | [diff] [blame] | 24 | #define A_LIMB_1 ((mpi_limb_t) 1) |
| 25 | |
| 26 | /**************** |
| 27 | * Sometimes we have MSL (most significant limbs) which are 0; |
| 28 | * this is for some reasons not good, so this function removes them. |
| 29 | */ |
| 30 | void mpi_normalize(MPI a) |
| 31 | { |
| 32 | for (; a->nlimbs && !a->d[a->nlimbs - 1]; a->nlimbs--) |
| 33 | ; |
| 34 | } |
Tianjia Zhang | a8ea8bd | 2020-09-21 00:20:55 +0800 | [diff] [blame] | 35 | EXPORT_SYMBOL_GPL(mpi_normalize); |
Dmitry Kasatkin | cdec9cb | 2011-08-31 14:05:16 +0300 | [diff] [blame] | 36 | |
| 37 | /**************** |
| 38 | * Return the number of bits in A. |
| 39 | */ |
| 40 | unsigned mpi_get_nbits(MPI a) |
| 41 | { |
| 42 | unsigned n; |
| 43 | |
| 44 | mpi_normalize(a); |
| 45 | |
| 46 | if (a->nlimbs) { |
| 47 | mpi_limb_t alimb = a->d[a->nlimbs - 1]; |
| 48 | if (alimb) |
David Howells | aacf29b | 2012-09-13 13:09:33 +0100 | [diff] [blame] | 49 | n = count_leading_zeros(alimb); |
Dmitry Kasatkin | cdec9cb | 2011-08-31 14:05:16 +0300 | [diff] [blame] | 50 | else |
| 51 | n = BITS_PER_MPI_LIMB; |
| 52 | n = BITS_PER_MPI_LIMB - n + (a->nlimbs - 1) * BITS_PER_MPI_LIMB; |
| 53 | } else |
| 54 | n = 0; |
| 55 | return n; |
| 56 | } |
| 57 | EXPORT_SYMBOL_GPL(mpi_get_nbits); |
Tianjia Zhang | a8ea8bd | 2020-09-21 00:20:55 +0800 | [diff] [blame] | 58 | |
| 59 | /**************** |
| 60 | * Test whether bit N is set. |
| 61 | */ |
| 62 | int mpi_test_bit(MPI a, unsigned int n) |
| 63 | { |
| 64 | unsigned int limbno, bitno; |
| 65 | mpi_limb_t limb; |
| 66 | |
| 67 | limbno = n / BITS_PER_MPI_LIMB; |
| 68 | bitno = n % BITS_PER_MPI_LIMB; |
| 69 | |
| 70 | if (limbno >= a->nlimbs) |
| 71 | return 0; /* too far left: this is a 0 */ |
| 72 | limb = a->d[limbno]; |
| 73 | return (limb & (A_LIMB_1 << bitno)) ? 1 : 0; |
| 74 | } |
| 75 | EXPORT_SYMBOL_GPL(mpi_test_bit); |
| 76 | |
| 77 | /**************** |
| 78 | * Set bit N of A. |
| 79 | */ |
| 80 | void mpi_set_bit(MPI a, unsigned int n) |
| 81 | { |
| 82 | unsigned int i, limbno, bitno; |
| 83 | |
| 84 | limbno = n / BITS_PER_MPI_LIMB; |
| 85 | bitno = n % BITS_PER_MPI_LIMB; |
| 86 | |
| 87 | if (limbno >= a->nlimbs) { |
| 88 | for (i = a->nlimbs; i < a->alloced; i++) |
| 89 | a->d[i] = 0; |
| 90 | mpi_resize(a, limbno+1); |
| 91 | a->nlimbs = limbno+1; |
| 92 | } |
| 93 | a->d[limbno] |= (A_LIMB_1<<bitno); |
| 94 | } |
| 95 | |
| 96 | /**************** |
| 97 | * Set bit N of A. and clear all bits above |
| 98 | */ |
| 99 | void mpi_set_highbit(MPI a, unsigned int n) |
| 100 | { |
| 101 | unsigned int i, limbno, bitno; |
| 102 | |
| 103 | limbno = n / BITS_PER_MPI_LIMB; |
| 104 | bitno = n % BITS_PER_MPI_LIMB; |
| 105 | |
| 106 | if (limbno >= a->nlimbs) { |
| 107 | for (i = a->nlimbs; i < a->alloced; i++) |
| 108 | a->d[i] = 0; |
| 109 | mpi_resize(a, limbno+1); |
| 110 | a->nlimbs = limbno+1; |
| 111 | } |
| 112 | a->d[limbno] |= (A_LIMB_1<<bitno); |
| 113 | for (bitno++; bitno < BITS_PER_MPI_LIMB; bitno++) |
| 114 | a->d[limbno] &= ~(A_LIMB_1 << bitno); |
| 115 | a->nlimbs = limbno+1; |
| 116 | } |
| 117 | EXPORT_SYMBOL_GPL(mpi_set_highbit); |
| 118 | |
| 119 | /**************** |
| 120 | * clear bit N of A and all bits above |
| 121 | */ |
| 122 | void mpi_clear_highbit(MPI a, unsigned int n) |
| 123 | { |
| 124 | unsigned int limbno, bitno; |
| 125 | |
| 126 | limbno = n / BITS_PER_MPI_LIMB; |
| 127 | bitno = n % BITS_PER_MPI_LIMB; |
| 128 | |
| 129 | if (limbno >= a->nlimbs) |
| 130 | return; /* not allocated, therefore no need to clear bits :-) */ |
| 131 | |
| 132 | for ( ; bitno < BITS_PER_MPI_LIMB; bitno++) |
| 133 | a->d[limbno] &= ~(A_LIMB_1 << bitno); |
| 134 | a->nlimbs = limbno+1; |
| 135 | } |
| 136 | |
| 137 | /**************** |
| 138 | * Clear bit N of A. |
| 139 | */ |
| 140 | void mpi_clear_bit(MPI a, unsigned int n) |
| 141 | { |
| 142 | unsigned int limbno, bitno; |
| 143 | |
| 144 | limbno = n / BITS_PER_MPI_LIMB; |
| 145 | bitno = n % BITS_PER_MPI_LIMB; |
| 146 | |
| 147 | if (limbno >= a->nlimbs) |
| 148 | return; /* Don't need to clear this bit, it's far too left. */ |
| 149 | a->d[limbno] &= ~(A_LIMB_1 << bitno); |
| 150 | } |
| 151 | EXPORT_SYMBOL_GPL(mpi_clear_bit); |
| 152 | |
| 153 | |
| 154 | /**************** |
| 155 | * Shift A by COUNT limbs to the right |
| 156 | * This is used only within the MPI library |
| 157 | */ |
| 158 | void mpi_rshift_limbs(MPI a, unsigned int count) |
| 159 | { |
| 160 | mpi_ptr_t ap = a->d; |
| 161 | mpi_size_t n = a->nlimbs; |
| 162 | unsigned int i; |
| 163 | |
| 164 | if (count >= n) { |
| 165 | a->nlimbs = 0; |
| 166 | return; |
| 167 | } |
| 168 | |
| 169 | for (i = 0; i < n - count; i++) |
| 170 | ap[i] = ap[i+count]; |
| 171 | ap[i] = 0; |
| 172 | a->nlimbs -= count; |
| 173 | } |
| 174 | |
| 175 | /* |
| 176 | * Shift A by N bits to the right. |
| 177 | */ |
| 178 | void mpi_rshift(MPI x, MPI a, unsigned int n) |
| 179 | { |
| 180 | mpi_size_t xsize; |
| 181 | unsigned int i; |
| 182 | unsigned int nlimbs = (n/BITS_PER_MPI_LIMB); |
| 183 | unsigned int nbits = (n%BITS_PER_MPI_LIMB); |
| 184 | |
| 185 | if (x == a) { |
| 186 | /* In-place operation. */ |
| 187 | if (nlimbs >= x->nlimbs) { |
| 188 | x->nlimbs = 0; |
| 189 | return; |
| 190 | } |
| 191 | |
| 192 | if (nlimbs) { |
| 193 | for (i = 0; i < x->nlimbs - nlimbs; i++) |
| 194 | x->d[i] = x->d[i+nlimbs]; |
| 195 | x->d[i] = 0; |
| 196 | x->nlimbs -= nlimbs; |
| 197 | } |
| 198 | if (x->nlimbs && nbits) |
| 199 | mpihelp_rshift(x->d, x->d, x->nlimbs, nbits); |
| 200 | } else if (nlimbs) { |
| 201 | /* Copy and shift by more or equal bits than in a limb. */ |
| 202 | xsize = a->nlimbs; |
| 203 | x->sign = a->sign; |
| 204 | RESIZE_IF_NEEDED(x, xsize); |
| 205 | x->nlimbs = xsize; |
| 206 | for (i = 0; i < a->nlimbs; i++) |
| 207 | x->d[i] = a->d[i]; |
| 208 | x->nlimbs = i; |
| 209 | |
| 210 | if (nlimbs >= x->nlimbs) { |
| 211 | x->nlimbs = 0; |
| 212 | return; |
| 213 | } |
| 214 | |
| 215 | if (nlimbs) { |
| 216 | for (i = 0; i < x->nlimbs - nlimbs; i++) |
| 217 | x->d[i] = x->d[i+nlimbs]; |
| 218 | x->d[i] = 0; |
| 219 | x->nlimbs -= nlimbs; |
| 220 | } |
| 221 | |
| 222 | if (x->nlimbs && nbits) |
| 223 | mpihelp_rshift(x->d, x->d, x->nlimbs, nbits); |
| 224 | } else { |
| 225 | /* Copy and shift by less than bits in a limb. */ |
| 226 | xsize = a->nlimbs; |
| 227 | x->sign = a->sign; |
| 228 | RESIZE_IF_NEEDED(x, xsize); |
| 229 | x->nlimbs = xsize; |
| 230 | |
| 231 | if (xsize) { |
| 232 | if (nbits) |
| 233 | mpihelp_rshift(x->d, a->d, x->nlimbs, nbits); |
| 234 | else { |
| 235 | /* The rshift helper function is not specified for |
| 236 | * NBITS==0, thus we do a plain copy here. |
| 237 | */ |
| 238 | for (i = 0; i < x->nlimbs; i++) |
| 239 | x->d[i] = a->d[i]; |
| 240 | } |
| 241 | } |
| 242 | } |
| 243 | MPN_NORMALIZE(x->d, x->nlimbs); |
| 244 | } |
| 245 | |
| 246 | /**************** |
| 247 | * Shift A by COUNT limbs to the left |
| 248 | * This is used only within the MPI library |
| 249 | */ |
| 250 | void mpi_lshift_limbs(MPI a, unsigned int count) |
| 251 | { |
| 252 | mpi_ptr_t ap; |
| 253 | int n = a->nlimbs; |
| 254 | int i; |
| 255 | |
| 256 | if (!count || !n) |
| 257 | return; |
| 258 | |
| 259 | RESIZE_IF_NEEDED(a, n+count); |
| 260 | |
| 261 | ap = a->d; |
| 262 | for (i = n-1; i >= 0; i--) |
| 263 | ap[i+count] = ap[i]; |
| 264 | for (i = 0; i < count; i++) |
| 265 | ap[i] = 0; |
| 266 | a->nlimbs += count; |
| 267 | } |
| 268 | |
| 269 | /* |
| 270 | * Shift A by N bits to the left. |
| 271 | */ |
| 272 | void mpi_lshift(MPI x, MPI a, unsigned int n) |
| 273 | { |
| 274 | unsigned int nlimbs = (n/BITS_PER_MPI_LIMB); |
| 275 | unsigned int nbits = (n%BITS_PER_MPI_LIMB); |
| 276 | |
| 277 | if (x == a && !n) |
| 278 | return; /* In-place shift with an amount of zero. */ |
| 279 | |
| 280 | if (x != a) { |
| 281 | /* Copy A to X. */ |
| 282 | unsigned int alimbs = a->nlimbs; |
| 283 | int asign = a->sign; |
| 284 | mpi_ptr_t xp, ap; |
| 285 | |
| 286 | RESIZE_IF_NEEDED(x, alimbs+nlimbs+1); |
| 287 | xp = x->d; |
| 288 | ap = a->d; |
| 289 | MPN_COPY(xp, ap, alimbs); |
| 290 | x->nlimbs = alimbs; |
| 291 | x->flags = a->flags; |
| 292 | x->sign = asign; |
| 293 | } |
| 294 | |
| 295 | if (nlimbs && !nbits) { |
| 296 | /* Shift a full number of limbs. */ |
| 297 | mpi_lshift_limbs(x, nlimbs); |
| 298 | } else if (n) { |
| 299 | /* We use a very dump approach: Shift left by the number of |
| 300 | * limbs plus one and than fix it up by an rshift. |
| 301 | */ |
| 302 | mpi_lshift_limbs(x, nlimbs+1); |
| 303 | mpi_rshift(x, x, BITS_PER_MPI_LIMB - nbits); |
| 304 | } |
| 305 | |
| 306 | MPN_NORMALIZE(x->d, x->nlimbs); |
| 307 | } |