diff options
Diffstat (limited to 'gl/str-two-way.h')
| -rw-r--r-- | gl/str-two-way.h | 429 |
1 files changed, 429 insertions, 0 deletions
diff --git a/gl/str-two-way.h b/gl/str-two-way.h new file mode 100644 index 00000000..c08f60ef --- /dev/null +++ b/gl/str-two-way.h | |||
| @@ -0,0 +1,429 @@ | |||
| 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 | ||
