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+/* Functions to make fuzzy comparisons between strings
+ Copyright (C) 1988-1989, 1992-1993, 1995, 2001-2003, 2006, 2008-2010 Free
+ Software Foundation, Inc.
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation; either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see <http://www.gnu.org/licenses/>.
+
+
+ Derived from GNU diff 2.7, analyze.c et al.
+
+ The basic idea is to consider two vectors as similar if, when
+ transforming the first vector into the second vector through a
+ sequence of edits (inserts and deletes of one element each),
+ this sequence is short - or equivalently, if the ordered list
+ of elements that are untouched by these edits is long. For a
+ good introduction to the subject, read about the "Levenshtein
+ distance" in Wikipedia.
+
+ The basic algorithm is described in:
+ "An O(ND) Difference Algorithm and its Variations", Eugene Myers,
+ Algorithmica Vol. 1 No. 2, 1986, pp. 251-266;
+ see especially section 4.2, which describes the variation used below.
+
+ The basic algorithm was independently discovered as described in:
+ "Algorithms for Approximate String Matching", E. Ukkonen,
+ Information and Control Vol. 64, 1985, pp. 100-118.
+
+ Unless the 'find_minimal' flag is set, this code uses the TOO_EXPENSIVE
+ heuristic, by Paul Eggert, to limit the cost to O(N**1.5 log N)
+ at the price of producing suboptimal output for large inputs with
+ many differences. */
+
+#include <config.h>
+
+/* Specification. */
+#include "fstrcmp.h"
+
+#include <string.h>
+#include <stdbool.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <limits.h>
+
+#include "glthread/lock.h"
+#include "glthread/tls.h"
+#include "minmax.h"
+#include "xalloc.h"
+
+#ifndef uintptr_t
+# define uintptr_t unsigned long
+#endif
+
+
+#define ELEMENT char
+#define EQUAL(x,y) ((x) == (y))
+#define OFFSET int
+#define EXTRA_CONTEXT_FIELDS \
+ /* The number of edits beyond which the computation can be aborted. */ \
+ int edit_count_limit; \
+ /* The number of edits (= number of elements inserted, plus the number of \
+ elements deleted), temporarily minus edit_count_limit. */ \
+ int edit_count;
+#define NOTE_DELETE(ctxt, xoff) ctxt->edit_count++
+#define NOTE_INSERT(ctxt, yoff) ctxt->edit_count++
+#define EARLY_ABORT(ctxt) ctxt->edit_count > 0
+/* We don't need USE_HEURISTIC, since it is unlikely in typical uses of
+ fstrcmp(). */
+#include "diffseq.h"
+
+
+/* Because fstrcmp is typically called multiple times, attempt to minimize
+ the number of memory allocations performed. Thus, let a call reuse the
+ memory already allocated by the previous call, if it is sufficient.
+ To make it multithread-safe, without need for a lock that protects the
+ already allocated memory, store the allocated memory per thread. Free
+ it only when the thread exits. */
+
+static gl_tls_key_t buffer_key; /* TLS key for a 'int *' */
+static gl_tls_key_t bufmax_key; /* TLS key for a 'size_t' */
+
+static void
+keys_init (void)
+{
+ gl_tls_key_init (buffer_key, free);
+ gl_tls_key_init (bufmax_key, NULL);
+ /* The per-thread initial values are NULL and 0, respectively. */
+}
+
+/* Ensure that keys_init is called once only. */
+gl_once_define(static, keys_init_once)
+
+
+/* In the code below, branch probabilities were measured by Ralf Wildenhues,
+ by running "msgmerge LL.po coreutils.pot" with msgmerge 0.18 for many
+ values of LL. The probability indicates that the condition evaluates
+ to true; whether that leads to a branch or a non-branch in the code,
+ depends on the compiler's reordering of basic blocks. */
+
+
+double
+fstrcmp_bounded (const char *string1, const char *string2, double lower_bound)
+{
+ struct context ctxt;
+ int xvec_length = strlen (string1);
+ int yvec_length = strlen (string2);
+ int i;
+
+ size_t fdiag_len;
+ int *buffer;
+ size_t bufmax;
+
+ /* short-circuit obvious comparisons */
+ if (xvec_length == 0 || yvec_length == 0) /* Prob: 1% */
+ return (xvec_length == 0 && yvec_length == 0 ? 1.0 : 0.0);
+
+ if (lower_bound > 0)
+ {
+ /* Compute a quick upper bound.
+ Each edit is an insertion or deletion of an element, hence modifies
+ the length of the sequence by at most 1.
+ Therefore, when starting from a sequence X and ending at a sequence Y,
+ with N edits, | yvec_length - xvec_length | <= N. (Proof by
+ induction over N.)
+ So, at the end, we will have
+ edit_count >= | xvec_length - yvec_length |.
+ and hence
+ result
+ = (xvec_length + yvec_length - edit_count)
+ / (xvec_length + yvec_length)
+ <= (xvec_length + yvec_length - | yvec_length - xvec_length |)
+ / (xvec_length + yvec_length)
+ = 2 * min (xvec_length, yvec_length) / (xvec_length + yvec_length).
+ */
+ volatile double upper_bound =
+ (double) (2 * MIN (xvec_length, yvec_length))
+ / (xvec_length + yvec_length);
+
+ if (upper_bound < lower_bound) /* Prob: 74% */
+ /* Return an arbitrary value < LOWER_BOUND. */
+ return 0.0;
+
+#if CHAR_BIT <= 8
+ /* When X and Y are both small, avoid the overhead of setting up an
+ array of size 256. */
+ if (xvec_length + yvec_length >= 20) /* Prob: 99% */
+ {
+ /* Compute a less quick upper bound.
+ Each edit is an insertion or deletion of a character, hence
+ modifies the occurrence count of a character by 1 and leaves the
+ other occurrence counts unchanged.
+ Therefore, when starting from a sequence X and ending at a
+ sequence Y, and denoting the occurrence count of C in X with
+ OCC (X, C), with N edits,
+ sum_C | OCC (X, C) - OCC (Y, C) | <= N.
+ (Proof by induction over N.)
+ So, at the end, we will have
+ edit_count >= sum_C | OCC (X, C) - OCC (Y, C) |,
+ and hence
+ result
+ = (xvec_length + yvec_length - edit_count)
+ / (xvec_length + yvec_length)
+ <= (xvec_length + yvec_length - sum_C | OCC(X,C) - OCC(Y,C) |)
+ / (xvec_length + yvec_length).
+ */
+ int occ_diff[UCHAR_MAX + 1]; /* array C -> OCC(X,C) - OCC(Y,C) */
+ int sum;
+
+ /* Determine the occurrence counts in X. */
+ memset (occ_diff, 0, sizeof (occ_diff));
+ for (i = xvec_length - 1; i >= 0; i--)
+ occ_diff[(unsigned char) string1[i]]++;
+ /* Subtract the occurrence counts in Y. */
+ for (i = yvec_length - 1; i >= 0; i--)
+ occ_diff[(unsigned char) string2[i]]--;
+ /* Sum up the absolute values. */
+ sum = 0;
+ for (i = 0; i <= UCHAR_MAX; i++)
+ {
+ int d = occ_diff[i];
+ sum += (d >= 0 ? d : -d);
+ }
+
+ upper_bound = 1.0 - (double) sum / (xvec_length + yvec_length);
+
+ if (upper_bound < lower_bound) /* Prob: 66% */
+ /* Return an arbitrary value < LOWER_BOUND. */
+ return 0.0;
+ }
+#endif
+ }
+
+ /* set the info for each string. */
+ ctxt.xvec = string1;
+ ctxt.yvec = string2;
+
+ /* Set TOO_EXPENSIVE to be approximate square root of input size,
+ bounded below by 256. */
+ ctxt.too_expensive = 1;
+ for (i = xvec_length + yvec_length;
+ i != 0;
+ i >>= 2)
+ ctxt.too_expensive <<= 1;
+ if (ctxt.too_expensive < 256)
+ ctxt.too_expensive = 256;
+
+ /* Allocate memory for fdiag and bdiag from a thread-local pool. */
+ fdiag_len = xvec_length + yvec_length + 3;
+ gl_once (keys_init_once, keys_init);
+ buffer = (int *) gl_tls_get (buffer_key);
+ bufmax = (size_t) (uintptr_t) gl_tls_get (bufmax_key);
+ if (fdiag_len > bufmax)
+ {
+ /* Need more memory. */
+ bufmax = 2 * bufmax;
+ if (fdiag_len > bufmax)
+ bufmax = fdiag_len;
+ /* Calling xrealloc would be a waste: buffer's contents does not need
+ to be preserved. */
+ if (buffer != NULL)
+ free (buffer);
+ buffer = (int *) xnmalloc (bufmax, 2 * sizeof (int));
+ gl_tls_set (buffer_key, buffer);
+ gl_tls_set (bufmax_key, (void *) (uintptr_t) bufmax);
+ }
+ ctxt.fdiag = buffer + yvec_length + 1;
+ ctxt.bdiag = ctxt.fdiag + fdiag_len;
+
+ /* The edit_count is only ever increased. The computation can be aborted
+ when
+ (xvec_length + yvec_length - edit_count) / (xvec_length + yvec_length)
+ < lower_bound,
+ or equivalently
+ edit_count > (xvec_length + yvec_length) * (1 - lower_bound)
+ or equivalently
+ edit_count > floor((xvec_length + yvec_length) * (1 - lower_bound)).
+ We need to add an epsilon inside the floor(...) argument, to neutralize
+ rounding errors. */
+ ctxt.edit_count_limit =
+ (lower_bound < 1.0
+ ? (int) ((xvec_length + yvec_length) * (1.0 - lower_bound + 0.000001))
+ : 0);
+
+ /* Now do the main comparison algorithm */
+ ctxt.edit_count = - ctxt.edit_count_limit;
+ if (compareseq (0, xvec_length, 0, yvec_length, 0, &ctxt)) /* Prob: 98% */
+ /* The edit_count passed the limit. Hence the result would be
+ < lower_bound. We can return any value < lower_bound instead. */
+ return 0.0;
+ ctxt.edit_count += ctxt.edit_count_limit;
+
+ /* The result is
+ ((number of chars in common) / (average length of the strings)).
+ The numerator is
+ = xvec_length - (number of calls to NOTE_DELETE)
+ = yvec_length - (number of calls to NOTE_INSERT)
+ = 1/2 * (xvec_length + yvec_length - (number of edits)).
+ This is admittedly biased towards finding that the strings are
+ similar, however it does produce meaningful results. */
+ return ((double) (xvec_length + yvec_length - ctxt.edit_count)
+ / (xvec_length + yvec_length));
+}