1 /* Searching in a string. -*- coding: utf-8 -*-
2 Copyright (C) 2005-2020 Free Software Foundation, Inc.
3 Written by Bruno Haible <bruno@clisp.org>, 2005.
5 This program is free software: you can redistribute it and/or modify
6 it under the terms of the GNU General Public License as published by
7 the Free Software Foundation; either version 3 of the License, or
8 (at your option) any later version.
10 This program is distributed in the hope that it will be useful,
11 but WITHOUT ANY WARRANTY; without even the implied warranty of
12 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 GNU General Public License for more details.
15 You should have received a copy of the GNU General Public License
16 along with this program. If not, see <https://www.gnu.org/licenses/>. */
24 #include <stddef.h> /* for NULL, in case a nonstandard string.h lacks it */
30 /* Knuth-Morris-Pratt algorithm. */
31 #define UNIT unsigned char
32 #define CANON_ELEMENT(c) c
35 /* Knuth-Morris-Pratt algorithm.
36 See https://en.wikipedia.org/wiki/Knuth-Morris-Pratt_algorithm
37 Return a boolean indicating success:
38 Return true and set *RESULTP if the search was completed.
39 Return false if it was aborted because not enough memory was available. */
41 knuth_morris_pratt_multibyte (const char *haystack
, const char *needle
,
44 size_t m
= mbslen (needle
);
45 mbchar_t
*needle_mbchars
;
48 /* Allocate room for needle_mbchars and the table. */
49 void *memory
= nmalloca (m
, sizeof (mbchar_t
) + sizeof (size_t));
53 needle_mbchars
= memory
;
54 table_memory
= needle_mbchars
+ m
;
57 /* Fill needle_mbchars. */
63 for (mbui_init (iter
, needle
); mbui_avail (iter
); mbui_advance (iter
), j
++)
64 mb_copy (&needle_mbchars
[j
], &mbui_cur (iter
));
69 0 < table[i] <= i is defined such that
70 forall 0 < x < table[i]: needle[x..i-1] != needle[0..i-1-x],
71 and table[i] is as large as possible with this property.
75 needle[table[i]..i-1] = needle[0..i-1-table[i]].
77 rhaystack[0..i-1] == needle[0..i-1]
78 and exists h, i <= h < m: rhaystack[h] != needle[h]
80 forall 0 <= x < table[i]: rhaystack[x..x+m-1] != needle[0..m-1].
81 table[0] remains uninitialized. */
85 /* i = 1: Nothing to verify for x = 0. */
89 for (i
= 2; i
< m
; i
++)
91 /* Here: j = i-1 - table[i-1].
92 The inequality needle[x..i-1] != needle[0..i-1-x] is known to hold
93 for x < table[i-1], by induction.
94 Furthermore, if j>0: needle[i-1-j..i-2] = needle[0..j-1]. */
95 mbchar_t
*b
= &needle_mbchars
[i
- 1];
99 /* Invariants: The inequality needle[x..i-1] != needle[0..i-1-x]
100 is known to hold for x < i-1-j.
101 Furthermore, if j>0: needle[i-1-j..i-2] = needle[0..j-1]. */
102 if (mb_equal (*b
, needle_mbchars
[j
]))
104 /* Set table[i] := i-1-j. */
108 /* The inequality needle[x..i-1] != needle[0..i-1-x] also holds
109 for x = i-1-j, because
110 needle[i-1] != needle[j] = needle[i-1-x]. */
113 /* The inequality holds for all possible x. */
117 /* The inequality needle[x..i-1] != needle[0..i-1-x] also holds
118 for i-1-j < x < i-1-j+table[j], because for these x:
120 = needle[x-(i-1-j)..j-1]
121 != needle[0..j-1-(x-(i-1-j))] (by definition of table[j])
123 hence needle[x..i-1] != needle[0..i-1-x].
125 needle[i-1-j+table[j]..i-2]
126 = needle[table[j]..j-1]
127 = needle[0..j-1-table[j]] (by definition of table[j]). */
130 /* Here: j = i - table[i]. */
134 /* Search, using the table to accelerate the processing. */
137 mbui_iterator_t rhaystack
;
138 mbui_iterator_t phaystack
;
142 mbui_init (rhaystack
, haystack
);
143 mbui_init (phaystack
, haystack
);
144 /* Invariant: phaystack = rhaystack + j. */
145 while (mbui_avail (phaystack
))
146 if (mb_equal (needle_mbchars
[j
], mbui_cur (phaystack
)))
149 mbui_advance (phaystack
);
152 /* The entire needle has been found. */
153 *resultp
= mbui_cur_ptr (rhaystack
);
159 /* Found a match of needle[0..j-1], mismatch at needle[j]. */
160 size_t count
= table
[j
];
162 for (; count
> 0; count
--)
164 if (!mbui_avail (rhaystack
))
166 mbui_advance (rhaystack
);
171 /* Found a mismatch at needle[0] already. */
172 if (!mbui_avail (rhaystack
))
174 mbui_advance (rhaystack
);
175 mbui_advance (phaystack
);
183 /* Find the first occurrence of the character string NEEDLE in the character
184 string HAYSTACK. Return NULL if NEEDLE is not found in HAYSTACK. */
186 mbsstr (const char *haystack
, const char *needle
)
188 /* Be careful not to look at the entire extent of haystack or needle
189 until needed. This is useful because of these two cases:
190 - haystack may be very long, and a match of needle found early,
191 - needle may be very long, and not even a short initial segment of
192 needle may be found in haystack. */
195 mbui_iterator_t iter_needle
;
197 mbui_init (iter_needle
, needle
);
198 if (mbui_avail (iter_needle
))
200 /* Minimizing the worst-case complexity:
201 Let n = mbslen(haystack), m = mbslen(needle).
202 The naïve algorithm is O(n*m) worst-case.
203 The Knuth-Morris-Pratt algorithm is O(n) worst-case but it needs a
205 To achieve linear complexity and yet amortize the cost of the
206 memory allocation, we activate the Knuth-Morris-Pratt algorithm
207 only once the naïve algorithm has already run for some time; more
209 - the outer loop count is >= 10,
210 - the average number of comparisons per outer loop is >= 5,
211 - the total number of comparisons is >= m.
212 But we try it only once. If the memory allocation attempt failed,
213 we don't retry it. */
215 size_t outer_loop_count
= 0;
216 size_t comparison_count
= 0;
217 size_t last_ccount
= 0; /* last comparison count */
218 mbui_iterator_t iter_needle_last_ccount
; /* = needle + last_ccount */
220 mbui_iterator_t iter_haystack
;
222 mbui_init (iter_needle_last_ccount
, needle
);
223 mbui_init (iter_haystack
, haystack
);
224 for (;; mbui_advance (iter_haystack
))
226 if (!mbui_avail (iter_haystack
))
230 /* See whether it's advisable to use an asymptotically faster
233 && outer_loop_count
>= 10
234 && comparison_count
>= 5 * outer_loop_count
)
236 /* See if needle + comparison_count now reaches the end of
238 size_t count
= comparison_count
- last_ccount
;
240 count
> 0 && mbui_avail (iter_needle_last_ccount
);
242 mbui_advance (iter_needle_last_ccount
);
243 last_ccount
= comparison_count
;
244 if (!mbui_avail (iter_needle_last_ccount
))
246 /* Try the Knuth-Morris-Pratt algorithm. */
249 knuth_morris_pratt_multibyte (haystack
, needle
,
252 return (char *) result
;
259 if (mb_equal (mbui_cur (iter_haystack
), mbui_cur (iter_needle
)))
260 /* The first character matches. */
262 mbui_iterator_t rhaystack
;
263 mbui_iterator_t rneedle
;
265 memcpy (&rhaystack
, &iter_haystack
, sizeof (mbui_iterator_t
));
266 mbui_advance (rhaystack
);
268 mbui_init (rneedle
, needle
);
269 if (!mbui_avail (rneedle
))
271 mbui_advance (rneedle
);
273 for (;; mbui_advance (rhaystack
), mbui_advance (rneedle
))
275 if (!mbui_avail (rneedle
))
277 return (char *) mbui_cur_ptr (iter_haystack
);
278 if (!mbui_avail (rhaystack
))
282 if (!mb_equal (mbui_cur (rhaystack
), mbui_cur (rneedle
)))
283 /* Nothing in this round. */
290 return (char *) haystack
;
296 /* Minimizing the worst-case complexity:
297 Let n = strlen(haystack), m = strlen(needle).
298 The naïve algorithm is O(n*m) worst-case.
299 The Knuth-Morris-Pratt algorithm is O(n) worst-case but it needs a
301 To achieve linear complexity and yet amortize the cost of the
302 memory allocation, we activate the Knuth-Morris-Pratt algorithm
303 only once the naïve algorithm has already run for some time; more
305 - the outer loop count is >= 10,
306 - the average number of comparisons per outer loop is >= 5,
307 - the total number of comparisons is >= m.
308 But we try it only once. If the memory allocation attempt failed,
309 we don't retry it. */
311 size_t outer_loop_count
= 0;
312 size_t comparison_count
= 0;
313 size_t last_ccount
= 0; /* last comparison count */
314 const char *needle_last_ccount
= needle
; /* = needle + last_ccount */
316 /* Speed up the following searches of needle by caching its first
322 if (*haystack
== '\0')
326 /* See whether it's advisable to use an asymptotically faster
329 && outer_loop_count
>= 10
330 && comparison_count
>= 5 * outer_loop_count
)
332 /* See if needle + comparison_count now reaches the end of
334 if (needle_last_ccount
!= NULL
)
336 needle_last_ccount
+=
337 strnlen (needle_last_ccount
,
338 comparison_count
- last_ccount
);
339 if (*needle_last_ccount
== '\0')
340 needle_last_ccount
= NULL
;
341 last_ccount
= comparison_count
;
343 if (needle_last_ccount
== NULL
)
345 /* Try the Knuth-Morris-Pratt algorithm. */
346 const unsigned char *result
;
348 knuth_morris_pratt ((const unsigned char *) haystack
,
349 (const unsigned char *) (needle
- 1),
353 return (char *) result
;
361 /* The first character matches. */
363 const char *rhaystack
= haystack
+ 1;
364 const char *rneedle
= needle
;
366 for (;; rhaystack
++, rneedle
++)
368 if (*rneedle
== '\0')
370 return (char *) haystack
;
371 if (*rhaystack
== '\0')
375 if (*rhaystack
!= *rneedle
)
376 /* Nothing in this round. */
383 return (char *) haystack
;