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1 | /* Byte-wise substring search, using the Two-Way algorithm. | ||
2 | Copyright (C) 2008, 2009, 2010 Free Software Foundation, Inc. | ||
3 | This file is part of the GNU C Library. | ||
4 | Written by Eric Blake <ebb9@byu.net>, 2008. | ||
5 | |||
6 | This program 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 3, or (at your option) | ||
9 | any later version. | ||
10 | |||
11 | This program 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 along | ||
17 | with this program; if not, write to the Free Software Foundation, | ||
18 | Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ | ||
19 | |||
20 | /* Before including this file, you need to include <config.h> and | ||
21 | <string.h>, and define: | ||
22 | RESULT_TYPE A macro that expands to the return type. | ||
23 | AVAILABLE(h, h_l, j, n_l) | ||
24 | A macro that returns nonzero if there are | ||
25 | at least N_L bytes left starting at H[J]. | ||
26 | H is 'unsigned char *', H_L, J, and N_L | ||
27 | are 'size_t'; H_L is an lvalue. For | ||
28 | NUL-terminated searches, H_L can be | ||
29 | modified each iteration to avoid having | ||
30 | to compute the end of H up front. | ||
31 | |||
32 | For case-insensitivity, you may optionally define: | ||
33 | CMP_FUNC(p1, p2, l) A macro that returns 0 iff the first L | ||
34 | characters of P1 and P2 are equal. | ||
35 | CANON_ELEMENT(c) A macro that canonicalizes an element right after | ||
36 | it has been fetched from one of the two strings. | ||
37 | The argument is an 'unsigned char'; the result | ||
38 | must be an 'unsigned char' as well. | ||
39 | |||
40 | This file undefines the macros documented above, and defines | ||
41 | LONG_NEEDLE_THRESHOLD. | ||
42 | */ | ||
43 | |||
44 | #include <limits.h> | ||
45 | #include <stdint.h> | ||
46 | |||
47 | /* We use the Two-Way string matching algorithm, which guarantees | ||
48 | linear complexity with constant space. Additionally, for long | ||
49 | needles, we also use a bad character shift table similar to the | ||
50 | Boyer-Moore algorithm to achieve improved (potentially sub-linear) | ||
51 | performance. | ||
52 | |||
53 | See http://www-igm.univ-mlv.fr/~lecroq/string/node26.html#SECTION00260 | ||
54 | and http://en.wikipedia.org/wiki/Boyer-Moore_string_search_algorithm | ||
55 | */ | ||
56 | |||
57 | /* Point at which computing a bad-byte shift table is likely to be | ||
58 | worthwhile. Small needles should not compute a table, since it | ||
59 | adds (1 << CHAR_BIT) + NEEDLE_LEN computations of preparation for a | ||
60 | speedup no greater than a factor of NEEDLE_LEN. The larger the | ||
61 | needle, the better the potential performance gain. On the other | ||
62 | hand, on non-POSIX systems with CHAR_BIT larger than eight, the | ||
63 | memory required for the table is prohibitive. */ | ||
64 | #if CHAR_BIT < 10 | ||
65 | # define LONG_NEEDLE_THRESHOLD 32U | ||
66 | #else | ||
67 | # define LONG_NEEDLE_THRESHOLD SIZE_MAX | ||
68 | #endif | ||
69 | |||
70 | #ifndef MAX | ||
71 | # define MAX(a, b) ((a < b) ? (b) : (a)) | ||
72 | #endif | ||
73 | |||
74 | #ifndef CANON_ELEMENT | ||
75 | # define CANON_ELEMENT(c) c | ||
76 | #endif | ||
77 | #ifndef CMP_FUNC | ||
78 | # define CMP_FUNC memcmp | ||
79 | #endif | ||
80 | |||
81 | /* Perform a critical factorization of NEEDLE, of length NEEDLE_LEN. | ||
82 | Return the index of the first byte in the right half, and set | ||
83 | *PERIOD to the global period of the right half. | ||
84 | |||
85 | The global period of a string is the smallest index (possibly its | ||
86 | length) at which all remaining bytes in the string are repetitions | ||
87 | of the prefix (the last repetition may be a subset of the prefix). | ||
88 | |||
89 | When NEEDLE is factored into two halves, a local period is the | ||
90 | length of the smallest word that shares a suffix with the left half | ||
91 | and shares a prefix with the right half. All factorizations of a | ||
92 | non-empty NEEDLE have a local period of at least 1 and no greater | ||
93 | than NEEDLE_LEN. | ||
94 | |||
95 | A critical factorization has the property that the local period | ||
96 | equals the global period. All strings have at least one critical | ||
97 | factorization with the left half smaller than the global period. | ||
98 | |||
99 | Given an ordered alphabet, a critical factorization can be computed | ||
100 | in linear time, with 2 * NEEDLE_LEN comparisons, by computing the | ||
101 | larger of two ordered maximal suffixes. The ordered maximal | ||
102 | suffixes are determined by lexicographic comparison of | ||
103 | periodicity. */ | ||
104 | static size_t | ||
105 | critical_factorization (const unsigned char *needle, size_t needle_len, | ||
106 | size_t *period) | ||
107 | { | ||
108 | /* Index of last byte of left half, or SIZE_MAX. */ | ||
109 | size_t max_suffix, max_suffix_rev; | ||
110 | size_t j; /* Index into NEEDLE for current candidate suffix. */ | ||
111 | size_t k; /* Offset into current period. */ | ||
112 | size_t p; /* Intermediate period. */ | ||
113 | unsigned char a, b; /* Current comparison bytes. */ | ||
114 | |||
115 | /* Invariants: | ||
116 | 0 <= j < NEEDLE_LEN - 1 | ||
117 | -1 <= max_suffix{,_rev} < j (treating SIZE_MAX as if it were signed) | ||
118 | min(max_suffix, max_suffix_rev) < global period of NEEDLE | ||
119 | 1 <= p <= global period of NEEDLE | ||
120 | p == global period of the substring NEEDLE[max_suffix{,_rev}+1...j] | ||
121 | 1 <= k <= p | ||
122 | */ | ||
123 | |||
124 | /* Perform lexicographic search. */ | ||
125 | max_suffix = SIZE_MAX; | ||
126 | j = 0; | ||
127 | k = p = 1; | ||
128 | while (j + k < needle_len) | ||
129 | { | ||
130 | a = CANON_ELEMENT (needle[j + k]); | ||
131 | b = CANON_ELEMENT (needle[max_suffix + k]); | ||
132 | if (a < b) | ||
133 | { | ||
134 | /* Suffix is smaller, period is entire prefix so far. */ | ||
135 | j += k; | ||
136 | k = 1; | ||
137 | p = j - max_suffix; | ||
138 | } | ||
139 | else if (a == b) | ||
140 | { | ||
141 | /* Advance through repetition of the current period. */ | ||
142 | if (k != p) | ||
143 | ++k; | ||
144 | else | ||
145 | { | ||
146 | j += p; | ||
147 | k = 1; | ||
148 | } | ||
149 | } | ||
150 | else /* b < a */ | ||
151 | { | ||
152 | /* Suffix is larger, start over from current location. */ | ||
153 | max_suffix = j++; | ||
154 | k = p = 1; | ||
155 | } | ||
156 | } | ||
157 | *period = p; | ||
158 | |||
159 | /* Perform reverse lexicographic search. */ | ||
160 | max_suffix_rev = SIZE_MAX; | ||
161 | j = 0; | ||
162 | k = p = 1; | ||
163 | while (j + k < needle_len) | ||
164 | { | ||
165 | a = CANON_ELEMENT (needle[j + k]); | ||
166 | b = CANON_ELEMENT (needle[max_suffix_rev + k]); | ||
167 | if (b < a) | ||
168 | { | ||
169 | /* Suffix is smaller, period is entire prefix so far. */ | ||
170 | j += k; | ||
171 | k = 1; | ||
172 | p = j - max_suffix_rev; | ||
173 | } | ||
174 | else if (a == b) | ||
175 | { | ||
176 | /* Advance through repetition of the current period. */ | ||
177 | if (k != p) | ||
178 | ++k; | ||
179 | else | ||
180 | { | ||
181 | j += p; | ||
182 | k = 1; | ||
183 | } | ||
184 | } | ||
185 | else /* a < b */ | ||
186 | { | ||
187 | /* Suffix is larger, start over from current location. */ | ||
188 | max_suffix_rev = j++; | ||
189 | k = p = 1; | ||
190 | } | ||
191 | } | ||
192 | |||
193 | /* Choose the longer suffix. Return the first byte of the right | ||
194 | half, rather than the last byte of the left half. */ | ||
195 | if (max_suffix_rev + 1 < max_suffix + 1) | ||
196 | return max_suffix + 1; | ||
197 | *period = p; | ||
198 | return max_suffix_rev + 1; | ||
199 | } | ||
200 | |||
201 | /* Return the first location of non-empty NEEDLE within HAYSTACK, or | ||
202 | NULL. HAYSTACK_LEN is the minimum known length of HAYSTACK. This | ||
203 | method is optimized for NEEDLE_LEN < LONG_NEEDLE_THRESHOLD. | ||
204 | Performance is guaranteed to be linear, with an initialization cost | ||
205 | of 2 * NEEDLE_LEN comparisons. | ||
206 | |||
207 | If AVAILABLE does not modify HAYSTACK_LEN (as in memmem), then at | ||
208 | most 2 * HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching. | ||
209 | If AVAILABLE modifies HAYSTACK_LEN (as in strstr), then at most 3 * | ||
210 | HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching. */ | ||
211 | static RETURN_TYPE | ||
212 | two_way_short_needle (const unsigned char *haystack, size_t haystack_len, | ||
213 | const unsigned char *needle, size_t needle_len) | ||
214 | { | ||
215 | size_t i; /* Index into current byte of NEEDLE. */ | ||
216 | size_t j; /* Index into current window of HAYSTACK. */ | ||
217 | size_t period; /* The period of the right half of needle. */ | ||
218 | size_t suffix; /* The index of the right half of needle. */ | ||
219 | |||
220 | /* Factor the needle into two halves, such that the left half is | ||
221 | smaller than the global period, and the right half is | ||
222 | periodic (with a period as large as NEEDLE_LEN - suffix). */ | ||
223 | suffix = critical_factorization (needle, needle_len, &period); | ||
224 | |||
225 | /* Perform the search. Each iteration compares the right half | ||
226 | first. */ | ||
227 | if (CMP_FUNC (needle, needle + period, suffix) == 0) | ||
228 | { | ||
229 | /* Entire needle is periodic; a mismatch can only advance by the | ||
230 | period, so use memory to avoid rescanning known occurrences | ||
231 | of the period. */ | ||
232 | size_t memory = 0; | ||
233 | j = 0; | ||
234 | while (AVAILABLE (haystack, haystack_len, j, needle_len)) | ||
235 | { | ||
236 | /* Scan for matches in right half. */ | ||
237 | i = MAX (suffix, memory); | ||
238 | while (i < needle_len && (CANON_ELEMENT (needle[i]) | ||
239 | == CANON_ELEMENT (haystack[i + j]))) | ||
240 | ++i; | ||
241 | if (needle_len <= i) | ||
242 | { | ||
243 | /* Scan for matches in left half. */ | ||
244 | i = suffix - 1; | ||
245 | while (memory < i + 1 && (CANON_ELEMENT (needle[i]) | ||
246 | == CANON_ELEMENT (haystack[i + j]))) | ||
247 | --i; | ||
248 | if (i + 1 < memory + 1) | ||
249 | return (RETURN_TYPE) (haystack + j); | ||
250 | /* No match, so remember how many repetitions of period | ||
251 | on the right half were scanned. */ | ||
252 | j += period; | ||
253 | memory = needle_len - period; | ||
254 | } | ||
255 | else | ||
256 | { | ||
257 | j += i - suffix + 1; | ||
258 | memory = 0; | ||
259 | } | ||
260 | } | ||
261 | } | ||
262 | else | ||
263 | { | ||
264 | /* The two halves of needle are distinct; no extra memory is | ||
265 | required, and any mismatch results in a maximal shift. */ | ||
266 | period = MAX (suffix, needle_len - suffix) + 1; | ||
267 | j = 0; | ||
268 | while (AVAILABLE (haystack, haystack_len, j, needle_len)) | ||
269 | { | ||
270 | /* Scan for matches in right half. */ | ||
271 | i = suffix; | ||
272 | while (i < needle_len && (CANON_ELEMENT (needle[i]) | ||
273 | == CANON_ELEMENT (haystack[i + j]))) | ||
274 | ++i; | ||
275 | if (needle_len <= i) | ||
276 | { | ||
277 | /* Scan for matches in left half. */ | ||
278 | i = suffix - 1; | ||
279 | while (i != SIZE_MAX && (CANON_ELEMENT (needle[i]) | ||
280 | == CANON_ELEMENT (haystack[i + j]))) | ||
281 | --i; | ||
282 | if (i == SIZE_MAX) | ||
283 | return (RETURN_TYPE) (haystack + j); | ||
284 | j += period; | ||
285 | } | ||
286 | else | ||
287 | j += i - suffix + 1; | ||
288 | } | ||
289 | } | ||
290 | return NULL; | ||
291 | } | ||
292 | |||
293 | /* Return the first location of non-empty NEEDLE within HAYSTACK, or | ||
294 | NULL. HAYSTACK_LEN is the minimum known length of HAYSTACK. This | ||
295 | method is optimized for LONG_NEEDLE_THRESHOLD <= NEEDLE_LEN. | ||
296 | Performance is guaranteed to be linear, with an initialization cost | ||
297 | of 3 * NEEDLE_LEN + (1 << CHAR_BIT) operations. | ||
298 | |||
299 | If AVAILABLE does not modify HAYSTACK_LEN (as in memmem), then at | ||
300 | most 2 * HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching, | ||
301 | and sublinear performance O(HAYSTACK_LEN / NEEDLE_LEN) is possible. | ||
302 | If AVAILABLE modifies HAYSTACK_LEN (as in strstr), then at most 3 * | ||
303 | HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching, and | ||
304 | sublinear performance is not possible. */ | ||
305 | static RETURN_TYPE | ||
306 | two_way_long_needle (const unsigned char *haystack, size_t haystack_len, | ||
307 | const unsigned char *needle, size_t needle_len) | ||
308 | { | ||
309 | size_t i; /* Index into current byte of NEEDLE. */ | ||
310 | size_t j; /* Index into current window of HAYSTACK. */ | ||
311 | size_t period; /* The period of the right half of needle. */ | ||
312 | size_t suffix; /* The index of the right half of needle. */ | ||
313 | size_t shift_table[1U << CHAR_BIT]; /* See below. */ | ||
314 | |||
315 | /* Factor the needle into two halves, such that the left half is | ||
316 | smaller than the global period, and the right half is | ||
317 | periodic (with a period as large as NEEDLE_LEN - suffix). */ | ||
318 | suffix = critical_factorization (needle, needle_len, &period); | ||
319 | |||
320 | /* Populate shift_table. For each possible byte value c, | ||
321 | shift_table[c] is the distance from the last occurrence of c to | ||
322 | the end of NEEDLE, or NEEDLE_LEN if c is absent from the NEEDLE. | ||
323 | shift_table[NEEDLE[NEEDLE_LEN - 1]] contains the only 0. */ | ||
324 | for (i = 0; i < 1U << CHAR_BIT; i++) | ||
325 | shift_table[i] = needle_len; | ||
326 | for (i = 0; i < needle_len; i++) | ||
327 | shift_table[CANON_ELEMENT (needle[i])] = needle_len - i - 1; | ||
328 | |||
329 | /* Perform the search. Each iteration compares the right half | ||
330 | first. */ | ||
331 | if (CMP_FUNC (needle, needle + period, suffix) == 0) | ||
332 | { | ||
333 | /* Entire needle is periodic; a mismatch can only advance by the | ||
334 | period, so use memory to avoid rescanning known occurrences | ||
335 | of the period. */ | ||
336 | size_t memory = 0; | ||
337 | size_t shift; | ||
338 | j = 0; | ||
339 | while (AVAILABLE (haystack, haystack_len, j, needle_len)) | ||
340 | { | ||
341 | /* Check the last byte first; if it does not match, then | ||
342 | shift to the next possible match location. */ | ||
343 | shift = shift_table[CANON_ELEMENT (haystack[j + needle_len - 1])]; | ||
344 | if (0 < shift) | ||
345 | { | ||
346 | if (memory && shift < period) | ||
347 | { | ||
348 | /* Since needle is periodic, but the last period has | ||
349 | a byte out of place, there can be no match until | ||
350 | after the mismatch. */ | ||
351 | shift = needle_len - period; | ||
352 | memory = 0; | ||
353 | } | ||
354 | j += shift; | ||
355 | continue; | ||
356 | } | ||
357 | /* Scan for matches in right half. The last byte has | ||
358 | already been matched, by virtue of the shift table. */ | ||
359 | i = MAX (suffix, memory); | ||
360 | while (i < needle_len - 1 && (CANON_ELEMENT (needle[i]) | ||
361 | == CANON_ELEMENT (haystack[i + j]))) | ||
362 | ++i; | ||
363 | if (needle_len - 1 <= i) | ||
364 | { | ||
365 | /* Scan for matches in left half. */ | ||
366 | i = suffix - 1; | ||
367 | while (memory < i + 1 && (CANON_ELEMENT (needle[i]) | ||
368 | == CANON_ELEMENT (haystack[i + j]))) | ||
369 | --i; | ||
370 | if (i + 1 < memory + 1) | ||
371 | return (RETURN_TYPE) (haystack + j); | ||
372 | /* No match, so remember how many repetitions of period | ||
373 | on the right half were scanned. */ | ||
374 | j += period; | ||
375 | memory = needle_len - period; | ||
376 | } | ||
377 | else | ||
378 | { | ||
379 | j += i - suffix + 1; | ||
380 | memory = 0; | ||
381 | } | ||
382 | } | ||
383 | } | ||
384 | else | ||
385 | { | ||
386 | /* The two halves of needle are distinct; no extra memory is | ||
387 | required, and any mismatch results in a maximal shift. */ | ||
388 | size_t shift; | ||
389 | period = MAX (suffix, needle_len - suffix) + 1; | ||
390 | j = 0; | ||
391 | while (AVAILABLE (haystack, haystack_len, j, needle_len)) | ||
392 | { | ||
393 | /* Check the last byte first; if it does not match, then | ||
394 | shift to the next possible match location. */ | ||
395 | shift = shift_table[CANON_ELEMENT (haystack[j + needle_len - 1])]; | ||
396 | if (0 < shift) | ||
397 | { | ||
398 | j += shift; | ||
399 | continue; | ||
400 | } | ||
401 | /* Scan for matches in right half. The last byte has | ||
402 | already been matched, by virtue of the shift table. */ | ||
403 | i = suffix; | ||
404 | while (i < needle_len - 1 && (CANON_ELEMENT (needle[i]) | ||
405 | == CANON_ELEMENT (haystack[i + j]))) | ||
406 | ++i; | ||
407 | if (needle_len - 1 <= i) | ||
408 | { | ||
409 | /* Scan for matches in left half. */ | ||
410 | i = suffix - 1; | ||
411 | while (i != SIZE_MAX && (CANON_ELEMENT (needle[i]) | ||
412 | == CANON_ELEMENT (haystack[i + j]))) | ||
413 | --i; | ||
414 | if (i == SIZE_MAX) | ||
415 | return (RETURN_TYPE) (haystack + j); | ||
416 | j += period; | ||
417 | } | ||
418 | else | ||
419 | j += i - suffix + 1; | ||
420 | } | ||
421 | } | ||
422 | return NULL; | ||
423 | } | ||
424 | |||
425 | #undef AVAILABLE | ||
426 | #undef CANON_ELEMENT | ||
427 | #undef CMP_FUNC | ||
428 | #undef MAX | ||
429 | #undef RETURN_TYPE | ||