/src/libgcrypt/mpi/mpi-bit.c
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1 | | /* mpi-bit.c - MPI bit level functions |
2 | | * Copyright (C) 1998, 1999, 2001, 2002, 2006 Free Software Foundation, Inc. |
3 | | * Copyright (C) 2013 g10 Code GmbH |
4 | | * |
5 | | * This file is part of Libgcrypt. |
6 | | * |
7 | | * Libgcrypt is free software; you can redistribute it and/or modify |
8 | | * it under the terms of the GNU Lesser General Public License as |
9 | | * published by the Free Software Foundation; either version 2.1 of |
10 | | * the License, or (at your option) any later version. |
11 | | * |
12 | | * Libgcrypt is distributed in the hope that it will be useful, |
13 | | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
14 | | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
15 | | * GNU Lesser General Public License for more details. |
16 | | * |
17 | | * You should have received a copy of the GNU Lesser General Public |
18 | | * License along with this program; if not, write to the Free Software |
19 | | * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA |
20 | | */ |
21 | | |
22 | | #include <config.h> |
23 | | #include <stdio.h> |
24 | | #include <stdlib.h> |
25 | | #include "mpi-internal.h" |
26 | | #include "longlong.h" |
27 | | |
28 | | |
29 | | #ifdef MPI_INTERNAL_NEED_CLZ_TAB |
30 | | #ifdef __STDC__ |
31 | | const |
32 | | #endif |
33 | | unsigned char |
34 | | _gcry_clz_tab[] = |
35 | | { |
36 | | 0,1,2,2,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5, |
37 | | 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6, |
38 | | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
39 | | 7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7, |
40 | | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
41 | | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
42 | | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
43 | | 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8, |
44 | | }; |
45 | | #endif |
46 | | |
47 | | |
48 | 0 | #define A_LIMB_1 ((mpi_limb_t)1) |
49 | | |
50 | | |
51 | | /**************** |
52 | | * Sometimes we have MSL (most significant limbs) which are 0; |
53 | | * this is for some reasons not good, so this function removes them. |
54 | | */ |
55 | | void |
56 | | _gcry_mpi_normalize( gcry_mpi_t a ) |
57 | 72.1k | { |
58 | 72.1k | if( mpi_is_opaque(a) ) |
59 | 0 | return; |
60 | | |
61 | 77.7k | for( ; a->nlimbs && !a->d[a->nlimbs-1]; a->nlimbs-- ) |
62 | 5.62k | ; |
63 | 72.1k | } |
64 | | |
65 | | |
66 | | |
67 | | /**************** |
68 | | * Return the number of bits in A. |
69 | | */ |
70 | | unsigned int |
71 | | _gcry_mpi_get_nbits (gcry_mpi_t a) |
72 | 0 | { |
73 | 0 | unsigned n; |
74 | |
|
75 | 0 | if( mpi_is_opaque(a) ) { |
76 | 0 | return a->sign; /* which holds the number of bits */ |
77 | 0 | } |
78 | | |
79 | 0 | _gcry_mpi_normalize( a ); |
80 | 0 | if( a->nlimbs ) { |
81 | 0 | mpi_limb_t alimb = a->d[a->nlimbs-1]; |
82 | 0 | if( alimb ) |
83 | 0 | count_leading_zeros( n, alimb ); |
84 | 0 | else |
85 | 0 | n = BITS_PER_MPI_LIMB; |
86 | 0 | n = BITS_PER_MPI_LIMB - n + (a->nlimbs-1) * BITS_PER_MPI_LIMB; |
87 | 0 | } |
88 | 0 | else |
89 | 0 | n = 0; |
90 | 0 | return n; |
91 | 0 | } |
92 | | |
93 | | |
94 | | /**************** |
95 | | * Test whether bit N is set. |
96 | | */ |
97 | | int |
98 | | _gcry_mpi_test_bit( gcry_mpi_t a, unsigned int n ) |
99 | 0 | { |
100 | 0 | unsigned int limbno, bitno; |
101 | 0 | mpi_limb_t limb; |
102 | |
|
103 | 0 | limbno = n / BITS_PER_MPI_LIMB; |
104 | 0 | bitno = n % BITS_PER_MPI_LIMB; |
105 | |
|
106 | 0 | if( limbno >= a->nlimbs ) |
107 | 0 | return 0; /* too far left: this is a 0 */ |
108 | 0 | limb = a->d[limbno]; |
109 | 0 | return (limb & (A_LIMB_1 << bitno))? 1: 0; |
110 | 0 | } |
111 | | |
112 | | |
113 | | /**************** |
114 | | * Set bit N of A. |
115 | | */ |
116 | | void |
117 | | _gcry_mpi_set_bit( gcry_mpi_t a, unsigned int n ) |
118 | 0 | { |
119 | 0 | unsigned int i, limbno, bitno; |
120 | |
|
121 | 0 | if (mpi_is_immutable (a)) |
122 | 0 | { |
123 | 0 | mpi_immutable_failed (); |
124 | 0 | return; |
125 | 0 | } |
126 | | |
127 | 0 | limbno = n / BITS_PER_MPI_LIMB; |
128 | 0 | bitno = n % BITS_PER_MPI_LIMB; |
129 | |
|
130 | 0 | if ( limbno >= a->nlimbs ) |
131 | 0 | { |
132 | 0 | for (i=a->nlimbs; i < a->alloced; i++) |
133 | 0 | a->d[i] = 0; |
134 | 0 | mpi_resize (a, limbno+1 ); |
135 | 0 | a->nlimbs = limbno+1; |
136 | 0 | } |
137 | 0 | a->d[limbno] |= (A_LIMB_1<<bitno); |
138 | 0 | } |
139 | | |
140 | | /**************** |
141 | | * Set bit N of A. and clear all bits above |
142 | | */ |
143 | | void |
144 | | _gcry_mpi_set_highbit( gcry_mpi_t a, unsigned int n ) |
145 | 0 | { |
146 | 0 | unsigned int i, limbno, bitno; |
147 | |
|
148 | 0 | if (mpi_is_immutable (a)) |
149 | 0 | { |
150 | 0 | mpi_immutable_failed (); |
151 | 0 | return; |
152 | 0 | } |
153 | | |
154 | 0 | limbno = n / BITS_PER_MPI_LIMB; |
155 | 0 | bitno = n % BITS_PER_MPI_LIMB; |
156 | |
|
157 | 0 | if ( limbno >= a->nlimbs ) |
158 | 0 | { |
159 | 0 | for (i=a->nlimbs; i < a->alloced; i++) |
160 | 0 | a->d[i] = 0; |
161 | 0 | mpi_resize (a, limbno+1 ); |
162 | 0 | a->nlimbs = limbno+1; |
163 | 0 | } |
164 | 0 | a->d[limbno] |= (A_LIMB_1<<bitno); |
165 | 0 | for ( bitno++; bitno < BITS_PER_MPI_LIMB; bitno++ ) |
166 | 0 | a->d[limbno] &= ~(A_LIMB_1 << bitno); |
167 | 0 | a->nlimbs = limbno+1; |
168 | 0 | } |
169 | | |
170 | | /**************** |
171 | | * clear bit N of A and all bits above |
172 | | */ |
173 | | void |
174 | | _gcry_mpi_clear_highbit( gcry_mpi_t a, unsigned int n ) |
175 | 0 | { |
176 | 0 | unsigned int limbno, bitno; |
177 | |
|
178 | 0 | if (mpi_is_immutable (a)) |
179 | 0 | { |
180 | 0 | mpi_immutable_failed (); |
181 | 0 | return; |
182 | 0 | } |
183 | | |
184 | 0 | limbno = n / BITS_PER_MPI_LIMB; |
185 | 0 | bitno = n % BITS_PER_MPI_LIMB; |
186 | |
|
187 | 0 | if( limbno >= a->nlimbs ) |
188 | 0 | return; /* not allocated, therefore no need to clear bits :-) */ |
189 | | |
190 | 0 | for( ; bitno < BITS_PER_MPI_LIMB; bitno++ ) |
191 | 0 | a->d[limbno] &= ~(A_LIMB_1 << bitno); |
192 | 0 | a->nlimbs = limbno+1; |
193 | 0 | } |
194 | | |
195 | | /**************** |
196 | | * Clear bit N of A. |
197 | | */ |
198 | | void |
199 | | _gcry_mpi_clear_bit( gcry_mpi_t a, unsigned int n ) |
200 | 0 | { |
201 | 0 | unsigned int limbno, bitno; |
202 | |
|
203 | 0 | if (mpi_is_immutable (a)) |
204 | 0 | { |
205 | 0 | mpi_immutable_failed (); |
206 | 0 | return; |
207 | 0 | } |
208 | | |
209 | 0 | limbno = n / BITS_PER_MPI_LIMB; |
210 | 0 | bitno = n % BITS_PER_MPI_LIMB; |
211 | |
|
212 | 0 | if (limbno >= a->nlimbs) |
213 | 0 | return; /* Don't need to clear this bit, it's far too left. */ |
214 | 0 | a->d[limbno] &= ~(A_LIMB_1 << bitno); |
215 | 0 | } |
216 | | |
217 | | |
218 | | /**************** |
219 | | * Shift A by COUNT limbs to the right |
220 | | * This is used only within the MPI library |
221 | | */ |
222 | | void |
223 | | _gcry_mpi_rshift_limbs( gcry_mpi_t a, unsigned int count ) |
224 | 0 | { |
225 | 0 | mpi_ptr_t ap = a->d; |
226 | 0 | mpi_size_t n = a->nlimbs; |
227 | 0 | unsigned int i; |
228 | |
|
229 | 0 | if (mpi_is_immutable (a)) |
230 | 0 | { |
231 | 0 | mpi_immutable_failed (); |
232 | 0 | return; |
233 | 0 | } |
234 | | |
235 | 0 | if (count >= n) |
236 | 0 | { |
237 | 0 | a->nlimbs = 0; |
238 | 0 | return; |
239 | 0 | } |
240 | | |
241 | 0 | for( i = 0; i < n - count; i++ ) |
242 | 0 | ap[i] = ap[i+count]; |
243 | 0 | ap[i] = 0; |
244 | 0 | a->nlimbs -= count; |
245 | 0 | } |
246 | | |
247 | | |
248 | | /* |
249 | | * Shift A by N bits to the right. |
250 | | */ |
251 | | void |
252 | | _gcry_mpi_rshift ( gcry_mpi_t x, gcry_mpi_t a, unsigned int n ) |
253 | 0 | { |
254 | 0 | mpi_size_t xsize; |
255 | 0 | unsigned int i; |
256 | 0 | unsigned int nlimbs = (n/BITS_PER_MPI_LIMB); |
257 | 0 | unsigned int nbits = (n%BITS_PER_MPI_LIMB); |
258 | |
|
259 | 0 | if (mpi_is_immutable (x)) |
260 | 0 | { |
261 | 0 | mpi_immutable_failed (); |
262 | 0 | return; |
263 | 0 | } |
264 | | |
265 | 0 | if ( x == a ) |
266 | 0 | { |
267 | | /* In-place operation. */ |
268 | 0 | if ( nlimbs >= x->nlimbs ) |
269 | 0 | { |
270 | 0 | x->nlimbs = 0; |
271 | 0 | return; |
272 | 0 | } |
273 | | |
274 | 0 | if (nlimbs) |
275 | 0 | { |
276 | 0 | for (i=0; i < x->nlimbs - nlimbs; i++ ) |
277 | 0 | x->d[i] = x->d[i+nlimbs]; |
278 | 0 | x->d[i] = 0; |
279 | 0 | x->nlimbs -= nlimbs; |
280 | |
|
281 | 0 | } |
282 | 0 | if ( x->nlimbs && nbits ) |
283 | 0 | _gcry_mpih_rshift ( x->d, x->d, x->nlimbs, nbits ); |
284 | 0 | } |
285 | 0 | else if ( nlimbs ) |
286 | 0 | { |
287 | | /* Copy and shift by more or equal bits than in a limb. */ |
288 | 0 | xsize = a->nlimbs; |
289 | 0 | x->sign = a->sign; |
290 | 0 | RESIZE_IF_NEEDED (x, xsize); |
291 | 0 | x->nlimbs = xsize; |
292 | 0 | for (i=0; i < a->nlimbs; i++ ) |
293 | 0 | x->d[i] = a->d[i]; |
294 | 0 | x->nlimbs = i; |
295 | |
|
296 | 0 | if ( nlimbs >= x->nlimbs ) |
297 | 0 | { |
298 | 0 | x->nlimbs = 0; |
299 | 0 | return; |
300 | 0 | } |
301 | | |
302 | 0 | if (nlimbs) |
303 | 0 | { |
304 | 0 | for (i=0; i < x->nlimbs - nlimbs; i++ ) |
305 | 0 | x->d[i] = x->d[i+nlimbs]; |
306 | 0 | x->d[i] = 0; |
307 | 0 | x->nlimbs -= nlimbs; |
308 | 0 | } |
309 | |
|
310 | 0 | if ( x->nlimbs && nbits ) |
311 | 0 | _gcry_mpih_rshift ( x->d, x->d, x->nlimbs, nbits ); |
312 | 0 | } |
313 | 0 | else |
314 | 0 | { |
315 | | /* Copy and shift by less than bits in a limb. */ |
316 | 0 | xsize = a->nlimbs; |
317 | 0 | x->sign = a->sign; |
318 | 0 | RESIZE_IF_NEEDED (x, xsize); |
319 | 0 | x->nlimbs = xsize; |
320 | |
|
321 | 0 | if ( xsize ) |
322 | 0 | { |
323 | 0 | if (nbits ) |
324 | 0 | _gcry_mpih_rshift (x->d, a->d, x->nlimbs, nbits ); |
325 | 0 | else |
326 | 0 | { |
327 | | /* The rshift helper function is not specified for |
328 | | NBITS==0, thus we do a plain copy here. */ |
329 | 0 | for (i=0; i < x->nlimbs; i++ ) |
330 | 0 | x->d[i] = a->d[i]; |
331 | 0 | } |
332 | 0 | } |
333 | 0 | } |
334 | 0 | MPN_NORMALIZE (x->d, x->nlimbs); |
335 | 0 | } |
336 | | |
337 | | |
338 | | /**************** |
339 | | * Shift A by COUNT limbs to the left |
340 | | * This is used only within the MPI library |
341 | | */ |
342 | | void |
343 | | _gcry_mpi_lshift_limbs (gcry_mpi_t a, unsigned int count) |
344 | 0 | { |
345 | 0 | mpi_ptr_t ap; |
346 | 0 | int n = a->nlimbs; |
347 | 0 | int i; |
348 | |
|
349 | 0 | if (!count || !n) |
350 | 0 | return; |
351 | | |
352 | 0 | RESIZE_IF_NEEDED (a, n+count); |
353 | |
|
354 | 0 | ap = a->d; |
355 | 0 | for (i = n-1; i >= 0; i--) |
356 | 0 | ap[i+count] = ap[i]; |
357 | 0 | for (i=0; i < count; i++ ) |
358 | 0 | ap[i] = 0; |
359 | 0 | a->nlimbs += count; |
360 | 0 | } |
361 | | |
362 | | |
363 | | /* |
364 | | * Shift A by N bits to the left. |
365 | | */ |
366 | | void |
367 | | _gcry_mpi_lshift ( gcry_mpi_t x, gcry_mpi_t a, unsigned int n ) |
368 | 0 | { |
369 | 0 | unsigned int nlimbs = (n/BITS_PER_MPI_LIMB); |
370 | 0 | unsigned int nbits = (n%BITS_PER_MPI_LIMB); |
371 | |
|
372 | 0 | if (mpi_is_immutable (x)) |
373 | 0 | { |
374 | 0 | mpi_immutable_failed (); |
375 | 0 | return; |
376 | 0 | } |
377 | | |
378 | 0 | if (x == a && !n) |
379 | 0 | return; /* In-place shift with an amount of zero. */ |
380 | | |
381 | 0 | if ( x != a ) |
382 | 0 | { |
383 | | /* Copy A to X. */ |
384 | 0 | unsigned int alimbs = a->nlimbs; |
385 | 0 | int asign = a->sign; |
386 | 0 | mpi_ptr_t xp, ap; |
387 | |
|
388 | 0 | RESIZE_IF_NEEDED (x, alimbs+nlimbs+1); |
389 | 0 | xp = x->d; |
390 | 0 | ap = a->d; |
391 | 0 | MPN_COPY (xp, ap, alimbs); |
392 | 0 | x->nlimbs = alimbs; |
393 | 0 | x->flags = a->flags; |
394 | 0 | x->sign = asign; |
395 | 0 | } |
396 | |
|
397 | 0 | if (nlimbs && !nbits) |
398 | 0 | { |
399 | | /* Shift a full number of limbs. */ |
400 | 0 | _gcry_mpi_lshift_limbs (x, nlimbs); |
401 | 0 | } |
402 | 0 | else if (n) |
403 | 0 | { |
404 | | /* We use a very dump approach: Shift left by the number of |
405 | | limbs plus one and than fix it up by an rshift. */ |
406 | 0 | _gcry_mpi_lshift_limbs (x, nlimbs+1); |
407 | 0 | mpi_rshift (x, x, BITS_PER_MPI_LIMB - nbits); |
408 | 0 | } |
409 | |
|
410 | 0 | MPN_NORMALIZE (x->d, x->nlimbs); |
411 | 0 | } |