/* Specification. */
#include <string.h>
+#include <stdbool.h>
#include <stddef.h> /* for NULL, in case a nonstandard string.h lacks it */
#if HAVE_MBRTOWC
# include "mbuiter.h"
#endif
+/* Knuth-Morris-Pratt algorithm.
+ See http://en.wikipedia.org/wiki/Knuth-Morris-Pratt_algorithm
+ Return a boolean indicating success. */
+
+static bool
+knuth_morris_pratt_unibyte (const char *haystack, const char *needle,
+ const char **resultp)
+{
+ size_t m = strlen (needle);
+
+ /* Allocate the table. */
+ size_t *table = (size_t *) malloc (m * sizeof (size_t));
+ if (table == NULL)
+ return false;
+ /* Fill the table.
+ For 0 < i < m:
+ 0 < table[i] <= i is defined such that
+ rhaystack[0..i-1] == needle[0..i-1] and rhaystack[i] != needle[i]
+ implies
+ forall 0 <= x < table[i]: rhaystack[x..x+m-1] != needle[0..m-1],
+ and table[i] is as large as possible with this property.
+ table[0] remains uninitialized. */
+ {
+ size_t i, j;
+
+ table[1] = 1;
+ j = 0;
+ for (i = 2; i < m; i++)
+ {
+ unsigned char b = (unsigned char) needle[i - 1];
+
+ for (;;)
+ {
+ if (b == (unsigned char) needle[j])
+ {
+ table[i] = i - ++j;
+ break;
+ }
+ if (j == 0)
+ {
+ table[i] = i;
+ break;
+ }
+ j = j - table[j];
+ }
+ }
+ }
+
+ /* Search, using the table to accelerate the processing. */
+ {
+ size_t j;
+ const char *rhaystack;
+ const char *phaystack;
+
+ *resultp = NULL;
+ j = 0;
+ rhaystack = haystack;
+ phaystack = haystack;
+ /* Invariant: phaystack = rhaystack + j. */
+ while (*phaystack != '\0')
+ if ((unsigned char) needle[j] == (unsigned char) *phaystack)
+ {
+ j++;
+ phaystack++;
+ if (j == m)
+ {
+ /* The entire needle has been found. */
+ *resultp = rhaystack;
+ break;
+ }
+ }
+ else if (j > 0)
+ {
+ /* Found a match of needle[0..j-1], mismatch at needle[j]. */
+ rhaystack += table[j];
+ j -= table[j];
+ }
+ else
+ {
+ /* Found a mismatch at needle[0] already. */
+ rhaystack++;
+ phaystack++;
+ }
+ }
+
+ free (table);
+ return true;
+}
+
+#if HAVE_MBRTOWC
+static bool
+knuth_morris_pratt_multibyte (const char *haystack, const char *needle,
+ const char **resultp)
+{
+ size_t m = mbslen (needle);
+ mbchar_t *needle_mbchars;
+ size_t *table;
+
+ /* Allocate room for needle_mbchars and the table. */
+ char *memory = (char *) malloc (m * (sizeof (mbchar_t) + sizeof (size_t)));
+ if (memory == NULL)
+ return false;
+ needle_mbchars = (mbchar_t *) memory;
+ table = (size_t *) (memory + m * sizeof (mbchar_t));
+
+ /* Fill needle_mbchars. */
+ {
+ mbui_iterator_t iter;
+ size_t j;
+
+ j = 0;
+ for (mbui_init (iter, needle); mbui_avail (iter); mbui_advance (iter), j++)
+ mb_copy (&needle_mbchars[j], &mbui_cur (iter));
+ }
+
+ /* Fill the table.
+ For 0 < i < m:
+ 0 < table[i] <= i is defined such that
+ rhaystack[0..i-1] == needle[0..i-1] and rhaystack[i] != needle[i]
+ implies
+ forall 0 <= x < table[i]: rhaystack[x..x+m-1] != needle[0..m-1],
+ and table[i] is as large as possible with this property.
+ table[0] remains uninitialized. */
+ {
+ size_t i, j;
+
+ table[1] = 1;
+ j = 0;
+ for (i = 2; i < m; i++)
+ {
+ mbchar_t *b = &needle_mbchars[i - 1];
+
+ for (;;)
+ {
+ if (mb_equal (*b, needle_mbchars[j]))
+ {
+ table[i] = i - ++j;
+ break;
+ }
+ if (j == 0)
+ {
+ table[i] = i;
+ break;
+ }
+ j = j - table[j];
+ }
+ }
+ }
+
+ /* Search, using the table to accelerate the processing. */
+ {
+ size_t j;
+ mbui_iterator_t rhaystack;
+ mbui_iterator_t phaystack;
+
+ *resultp = NULL;
+ j = 0;
+ mbui_init (rhaystack, haystack);
+ mbui_init (phaystack, haystack);
+ /* Invariant: phaystack = rhaystack + j. */
+ while (mbui_avail (phaystack))
+ if (mb_equal (needle_mbchars[j], mbui_cur (phaystack)))
+ {
+ j++;
+ mbui_advance (phaystack);
+ if (j == m)
+ {
+ /* The entire needle has been found. */
+ *resultp = mbui_cur_ptr (rhaystack);
+ break;
+ }
+ }
+ else if (j > 0)
+ {
+ /* Found a match of needle[0..j-1], mismatch at needle[j]. */
+ size_t count = table[j];
+ j -= count;
+ for (; count > 0; count--)
+ {
+ if (!mbui_avail (rhaystack))
+ abort ();
+ mbui_advance (rhaystack);
+ }
+ }
+ else
+ {
+ /* Found a mismatch at needle[0] already. */
+ if (!mbui_avail (rhaystack))
+ abort ();
+ mbui_advance (rhaystack);
+ mbui_advance (phaystack);
+ }
+ }
+
+ free (memory);
+ return true;
+}
+#endif
+
/* Find the first occurrence of the character string NEEDLE in the character
string HAYSTACK. Return NULL if NEEDLE is not found in HAYSTACK. */
char *
mbui_init (iter_needle, needle);
if (mbui_avail (iter_needle))
{
+ /* Minimizing the worst-case complexity:
+ Let n = mbslen(haystack), m = mbslen(needle).
+ The naïve algorithm is O(n*m) worst-case.
+ The Knuth-Morris-Pratt algorithm is O(n) worst-case but it needs a
+ memory allocation.
+ To achieve linear complexity and yet amortize the cost of the
+ memory allocation, we activate the Knuth-Morris-Pratt algorithm
+ only once the naïve algorithm has already run for some time; more
+ precisely, when
+ - the outer loop count is >= 10,
+ - the average number of comparisons per outer loop is >= 5,
+ - the total number of comparisons is >= m.
+ But we try it only once. If the memory allocation attempt failed,
+ we don't retry it. */
+ bool try_kmp = true;
+ size_t outer_loop_count = 0;
+ size_t comparison_count = 0;
+ size_t last_ccount = 0; /* last comparison count */
+ mbui_iterator_t iter_needle_last_ccount; /* = needle + last_ccount */
+
mbui_iterator_t iter_haystack;
+ mbui_init (iter_needle_last_ccount, needle);
mbui_init (iter_haystack, haystack);
for (;; mbui_advance (iter_haystack))
{
/* No match. */
return NULL;
+ /* See whether it's advisable to use an asymptotically faster
+ algorithm. */
+ if (try_kmp
+ && outer_loop_count >= 10
+ && comparison_count >= 5 * outer_loop_count)
+ {
+ /* See if needle + comparison_count now reaches the end of
+ needle. */
+ size_t count = comparison_count - last_ccount;
+ for (;
+ count > 0 && mbui_avail (iter_needle_last_ccount);
+ count--)
+ mbui_advance (iter_needle_last_ccount);
+ last_ccount = comparison_count;
+ if (!mbui_avail (iter_needle_last_ccount))
+ {
+ /* Try the Knuth-Morris-Pratt algorithm. */
+ const char *result;
+ bool success =
+ knuth_morris_pratt_multibyte (haystack, needle,
+ &result);
+ if (success)
+ return (char *) result;
+ try_kmp = false;
+ }
+ }
+
+ outer_loop_count++;
+ comparison_count++;
if (mb_equal (mbui_cur (iter_haystack), mbui_cur (iter_needle)))
/* The first character matches. */
{
if (!mbui_avail (rhaystack))
/* No match. */
return NULL;
+ comparison_count++;
if (!mb_equal (mbui_cur (rhaystack), mbui_cur (rneedle)))
/* Nothing in this round. */
break;
{
if (*needle != '\0')
{
+ /* Minimizing the worst-case complexity:
+ Let n = strlen(haystack), m = strlen(needle).
+ The naïve algorithm is O(n*m) worst-case.
+ The Knuth-Morris-Pratt algorithm is O(n) worst-case but it needs a
+ memory allocation.
+ To achieve linear complexity and yet amortize the cost of the
+ memory allocation, we activate the Knuth-Morris-Pratt algorithm
+ only once the naïve algorithm has already run for some time; more
+ precisely, when
+ - the outer loop count is >= 10,
+ - the average number of comparisons per outer loop is >= 5,
+ - the total number of comparisons is >= m.
+ But we try it only once. If the memory allocation attempt failed,
+ we don't retry it. */
+ bool try_kmp = true;
+ size_t outer_loop_count = 0;
+ size_t comparison_count = 0;
+ size_t last_ccount = 0; /* last comparison count */
+ const char *needle_last_ccount = needle; /* = needle + last_ccount */
+
/* Speed up the following searches of needle by caching its first
character. */
char b = *needle++;
if (*haystack == '\0')
/* No match. */
return NULL;
+
+ /* See whether it's advisable to use an asymptotically faster
+ algorithm. */
+ if (try_kmp
+ && outer_loop_count >= 10
+ && comparison_count >= 5 * outer_loop_count)
+ {
+ /* See if needle + comparison_count now reaches the end of
+ needle. */
+ if (needle_last_ccount != NULL)
+ {
+ needle_last_ccount +=
+ strnlen (needle_last_ccount,
+ comparison_count - last_ccount);
+ if (*needle_last_ccount == '\0')
+ needle_last_ccount = NULL;
+ last_ccount = comparison_count;
+ }
+ if (needle_last_ccount == NULL)
+ {
+ /* Try the Knuth-Morris-Pratt algorithm. */
+ const char *result;
+ bool success =
+ knuth_morris_pratt_unibyte (haystack, needle - 1,
+ &result);
+ if (success)
+ return (char *) result;
+ try_kmp = false;
+ }
+ }
+
+ outer_loop_count++;
+ comparison_count++;
if (*haystack == b)
/* The first character matches. */
{
if (*rhaystack == '\0')
/* No match. */
return NULL;
+ comparison_count++;
if (*rhaystack != *rneedle)
/* Nothing in this round. */
break;
projects / pspp / commitdiff