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[PATCH] import memmem() with linear complexity from Gnulib

From
René Scharfe <rene.scharfe@lsrfire.ath.cx>
Date
Feb 28, 2009, 19:16 UTC
Message-ID
<1235848615.7043.30.camel@ubuntu.ubuntu-domain>
In-Reply-To
<7vmyc6foj3.fsf@gitster.siamese.dyndns.org>

Gnulib and glibc have gained a memmem() implementation using the Two-Way algorithm, which needs constant space and linear time. Import it to compat/ in order to replace the simple quadratic implementation there.

memmem.c and str-two-way.h are copied verbatim from the repository at git://git.savannah.gnu.org/gnulib.git, with the following changes to memmem.c to make it fit into git's build environment:

	21,23c21
	< #ifndef _LIBC
	< # include <config.h>
	< #endif
	---
	> #include "../git-compat-util.h"
	40c38
	< memmem (const void *haystack_start, size_t haystack_len,
	---
	> gitmemmem(const void *haystack_start, size_t haystack_len,
Signed-off-by: Rene Scharfe <rene.scharfe@lsrfire.ath.cx>
---
 Makefile             |    1 +
 compat/memmem.c      |  103 +++++++++----
 compat/str-two-way.h |  429 ++++++++++++++++++++++++++++++++++++++++++++++++++
 3 files changed, 504 insertions(+), 29 deletions(-)
 rewrite compat/memmem.c (91%)
 create mode 100644 compat/str-two-way.h
diff --git a/Makefile b/Makefile
index 0675c43..b2b15d9 100644
--- a/Makefile
+++ b/Makefile
@@ -359,6 +359,7 @@ LIB_H += cache-tree.h
 LIB_H += commit.h
 LIB_H += compat/cygwin.h
 LIB_H += compat/mingw.h
+LIB_H += compat/str-two-way.h
 LIB_H += csum-file.h
 LIB_H += decorate.h
 LIB_H += delta.h
diff --git a/compat/memmem.c b/compat/memmem.c
dissimilarity index 91%
index cd0d877..b0b7821 100644
--- a/compat/memmem.c
+++ b/compat/memmem.c
@@ -1,29 +1,74 @@
-#include "../git-compat-util.h"
-
-void *gitmemmem(const void *haystack, size_t haystack_len,
-                const void *needle, size_t needle_len)
-{
-	const char *begin = haystack;
-	const char *last_possible = begin + haystack_len - needle_len;
-
-	/*
-	 * The first occurrence of the empty string is deemed to occur at
-	 * the beginning of the string.
-	 */
-	if (needle_len == 0)
-		return (void *)begin;
-
-	/*
-	 * Sanity check, otherwise the loop might search through the whole
-	 * memory.
-	 */
-	if (haystack_len < needle_len)
-		return NULL;
-
-	for (; begin <= last_possible; begin++) {
-		if (!memcmp(begin, needle, needle_len))
-			return (void *)begin;
-	}
-
-	return NULL;
-}
+/* Copyright (C) 1991,92,93,94,96,97,98,2000,2004,2007,2008 Free Software
+   Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   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 2, 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, write to the Free Software Foundation,
+   Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.  */
+
+/* This particular implementation was written by Eric Blake, 2008.  */
+
+#include "../git-compat-util.h"
+
+/* Specification of memmem.  */
+#include <string.h>
+
+#ifndef _LIBC
+# define __builtin_expect(expr, val)   (expr)
+#endif
+
+#define RETURN_TYPE void *
+#define AVAILABLE(h, h_l, j, n_l) ((j) <= (h_l) - (n_l))
+#include "str-two-way.h"
+
+/* Return the first occurrence of NEEDLE in HAYSTACK.  Return HAYSTACK
+   if NEEDLE_LEN is 0, otherwise NULL if NEEDLE is not found in
+   HAYSTACK.  */
+void *
+gitmemmem(const void *haystack_start, size_t haystack_len,
+	const void *needle_start, size_t needle_len)
+{
+  /* Abstract memory is considered to be an array of 'unsigned char' values,
+     not an array of 'char' values.  See ISO C 99 section 6.2.6.1.  */
+  const unsigned char *haystack = (const unsigned char *) haystack_start;
+  const unsigned char *needle = (const unsigned char *) needle_start;
+
+  if (needle_len == 0)
+    /* The first occurrence of the empty string is deemed to occur at
+       the beginning of the string.  */
+    return (void *) haystack;
+
+  /* Sanity check, otherwise the loop might search through the whole
+     memory.  */
+  if (__builtin_expect (haystack_len < needle_len, 0))
+    return NULL;
+
+  /* Use optimizations in memchr when possible, to reduce the search
+     size of haystack using a linear algorithm with a smaller
+     coefficient.  However, avoid memchr for long needles, since we
+     can often achieve sublinear performance.  */
+  if (needle_len < LONG_NEEDLE_THRESHOLD)
+    {
+      haystack = memchr (haystack, *needle, haystack_len);
+      if (!haystack || __builtin_expect (needle_len == 1, 0))
+	return (void *) haystack;
+      haystack_len -= haystack - (const unsigned char *) haystack_start;
+      if (haystack_len < needle_len)
+	return NULL;
+      return two_way_short_needle (haystack, haystack_len, needle, needle_len);
+    }
+  else
+    return two_way_long_needle (haystack, haystack_len, needle, needle_len);
+}
+
+#undef LONG_NEEDLE_THRESHOLD
diff --git a/compat/str-two-way.h b/compat/str-two-way.h
new file mode 100644
index 0000000..b0338a7
--- /dev/null
+++ b/compat/str-two-way.h
@@ -0,0 +1,429 @@
+/* Byte-wise substring search, using the Two-Way algorithm.
+   Copyright (C) 2008 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+   Written by Eric Blake <ebb9@byu.net>, 2008.
+
+   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 2, 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, write to the Free Software Foundation,
+   Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.  */
+
+/* Before including this file, you need to include <config.h> and
+   <string.h>, and define:
+     RESULT_TYPE             A macro that expands to the return type.
+     AVAILABLE(h, h_l, j, n_l)
+			     A macro that returns nonzero if there are
+			     at least N_L bytes left starting at H[J].
+			     H is 'unsigned char *', H_L, J, and N_L
+			     are 'size_t'; H_L is an lvalue.  For
+			     NUL-terminated searches, H_L can be
+			     modified each iteration to avoid having
+			     to compute the end of H up front.
+
+  For case-insensitivity, you may optionally define:
+     CMP_FUNC(p1, p2, l)     A macro that returns 0 iff the first L
+			     characters of P1 and P2 are equal.
+     CANON_ELEMENT(c)        A macro that canonicalizes an element right after
+			     it has been fetched from one of the two strings.
+			     The argument is an 'unsigned char'; the result
+			     must be an 'unsigned char' as well.
+
+  This file undefines the macros documented above, and defines
+  LONG_NEEDLE_THRESHOLD.
+*/
+
+#include <limits.h>
+#include <stdint.h>
+
+/* We use the Two-Way string matching algorithm, which guarantees
+   linear complexity with constant space.  Additionally, for long
+   needles, we also use a bad character shift table similar to the
+   Boyer-Moore algorithm to achieve improved (potentially sub-linear)
+   performance.
+
+   See http://www-igm.univ-mlv.fr/~lecroq/string/node26.html#SECTION00260
+   and http://en.wikipedia.org/wiki/Boyer-Moore_string_search_algorithm
+*/
+
+/* Point at which computing a bad-byte shift table is likely to be
+   worthwhile.  Small needles should not compute a table, since it
+   adds (1 << CHAR_BIT) + NEEDLE_LEN computations of preparation for a
+   speedup no greater than a factor of NEEDLE_LEN.  The larger the
+   needle, the better the potential performance gain.  On the other
+   hand, on non-POSIX systems with CHAR_BIT larger than eight, the
+   memory required for the table is prohibitive.  */
+#if CHAR_BIT < 10
+# define LONG_NEEDLE_THRESHOLD 32U
+#else
+# define LONG_NEEDLE_THRESHOLD SIZE_MAX
+#endif
+
+#ifndef MAX
+# define MAX(a, b) ((a < b) ? (b) : (a))
+#endif
+
+#ifndef CANON_ELEMENT
+# define CANON_ELEMENT(c) c
+#endif
+#ifndef CMP_FUNC
+# define CMP_FUNC memcmp
+#endif
+
+/* Perform a critical factorization of NEEDLE, of length NEEDLE_LEN.
+   Return the index of the first byte in the right half, and set
+   *PERIOD to the global period of the right half.
+
+   The global period of a string is the smallest index (possibly its
+   length) at which all remaining bytes in the string are repetitions
+   of the prefix (the last repetition may be a subset of the prefix).
+
+   When NEEDLE is factored into two halves, a local period is the
+   length of the smallest word that shares a suffix with the left half
+   and shares a prefix with the right half.  All factorizations of a
+   non-empty NEEDLE have a local period of at least 1 and no greater
+   than NEEDLE_LEN.
+
+   A critical factorization has the property that the local period
+   equals the global period.  All strings have at least one critical
+   factorization with the left half smaller than the global period.
+
+   Given an ordered alphabet, a critical factorization can be computed
+   in linear time, with 2 * NEEDLE_LEN comparisons, by computing the
+   larger of two ordered maximal suffixes.  The ordered maximal
+   suffixes are determined by lexicographic comparison of
+   periodicity.  */
+static size_t
+critical_factorization (const unsigned char *needle, size_t needle_len,
+			size_t *period)
+{
+  /* Index of last byte of left half, or SIZE_MAX.  */
+  size_t max_suffix, max_suffix_rev;
+  size_t j; /* Index into NEEDLE for current candidate suffix.  */
+  size_t k; /* Offset into current period.  */
+  size_t p; /* Intermediate period.  */
+  unsigned char a, b; /* Current comparison bytes.  */
+
+  /* Invariants:
+     0 <= j < NEEDLE_LEN - 1
+     -1 <= max_suffix{,_rev} < j (treating SIZE_MAX as if it were signed)
+     min(max_suffix, max_suffix_rev) < global period of NEEDLE
+     1 <= p <= global period of NEEDLE
+     p == global period of the substring NEEDLE[max_suffix{,_rev}+1...j]
+     1 <= k <= p
+  */
+
+  /* Perform lexicographic search.  */
+  max_suffix = SIZE_MAX;
+  j = 0;
+  k = p = 1;
+  while (j + k < needle_len)
+    {
+      a = CANON_ELEMENT (needle[j + k]);
+      b = CANON_ELEMENT (needle[max_suffix + k]);
+      if (a < b)
+	{
+	  /* Suffix is smaller, period is entire prefix so far.  */
+	  j += k;
+	  k = 1;
+	  p = j - max_suffix;
+	}
+      else if (a == b)
+	{
+	  /* Advance through repetition of the current period.  */
+	  if (k != p)
+	    ++k;
+	  else
+	    {
+	      j += p;
+	      k = 1;
+	    }
+	}
+      else /* b < a */
+	{
+	  /* Suffix is larger, start over from current location.  */
+	  max_suffix = j++;
+	  k = p = 1;
+	}
+    }
+  *period = p;
+
+  /* Perform reverse lexicographic search.  */
+  max_suffix_rev = SIZE_MAX;
+  j = 0;
+  k = p = 1;
+  while (j + k < needle_len)
+    {
+      a = CANON_ELEMENT (needle[j + k]);
+      b = CANON_ELEMENT (needle[max_suffix_rev + k]);
+      if (b < a)
+	{
+	  /* Suffix is smaller, period is entire prefix so far.  */
+	  j += k;
+	  k = 1;
+	  p = j - max_suffix_rev;
+	}
+      else if (a == b)
+	{
+	  /* Advance through repetition of the current period.  */
+	  if (k != p)
+	    ++k;
+	  else
+	    {
+	      j += p;
+	      k = 1;
+	    }
+	}
+      else /* a < b */
+	{
+	  /* Suffix is larger, start over from current location.  */
+	  max_suffix_rev = j++;
+	  k = p = 1;
+	}
+    }
+
+  /* Choose the longer suffix.  Return the first byte of the right
+     half, rather than the last byte of the left half.  */
+  if (max_suffix_rev + 1 < max_suffix + 1)
+    return max_suffix + 1;
+  *period = p;
+  return max_suffix_rev + 1;
+}
+
+/* Return the first location of non-empty NEEDLE within HAYSTACK, or
+   NULL.  HAYSTACK_LEN is the minimum known length of HAYSTACK.  This
+   method is optimized for NEEDLE_LEN < LONG_NEEDLE_THRESHOLD.
+   Performance is guaranteed to be linear, with an initialization cost
+   of 2 * NEEDLE_LEN comparisons.
+
+   If AVAILABLE does not modify HAYSTACK_LEN (as in memmem), then at
+   most 2 * HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching.
+   If AVAILABLE modifies HAYSTACK_LEN (as in strstr), then at most 3 *
+   HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching.  */
+static RETURN_TYPE
+two_way_short_needle (const unsigned char *haystack, size_t haystack_len,
+		      const unsigned char *needle, size_t needle_len)
+{
+  size_t i; /* Index into current byte of NEEDLE.  */
+  size_t j; /* Index into current window of HAYSTACK.  */
+  size_t period; /* The period of the right half of needle.  */
+  size_t suffix; /* The index of the right half of needle.  */
+
+  /* Factor the needle into two halves, such that the left half is
+     smaller than the global period, and the right half is
+     periodic (with a period as large as NEEDLE_LEN - suffix).  */
+  suffix = critical_factorization (needle, needle_len, &period);
+
+  /* Perform the search.  Each iteration compares the right half
+     first.  */
+  if (CMP_FUNC (needle, needle + period, suffix) == 0)
+    {
+      /* Entire needle is periodic; a mismatch can only advance by the
+	 period, so use memory to avoid rescanning known occurrences
+	 of the period.  */
+      size_t memory = 0;
+      j = 0;
+      while (AVAILABLE (haystack, haystack_len, j, needle_len))
+	{
+	  /* Scan for matches in right half.  */
+	  i = MAX (suffix, memory);
+	  while (i < needle_len && (CANON_ELEMENT (needle[i])
+				    == CANON_ELEMENT (haystack[i + j])))
+	    ++i;
+	  if (needle_len <= i)
+	    {
+	      /* Scan for matches in left half.  */
+	      i = suffix - 1;
+	      while (memory < i + 1 && (CANON_ELEMENT (needle[i])
+					== CANON_ELEMENT (haystack[i + j])))
+		--i;
+	      if (i + 1 < memory + 1)
+		return (RETURN_TYPE) (haystack + j);
+	      /* No match, so remember how many repetitions of period
+		 on the right half were scanned.  */
+	      j += period;
+	      memory = needle_len - period;
+	    }
+	  else
+	    {
+	      j += i - suffix + 1;
+	      memory = 0;
+	    }
+	}
+    }
+  else
+    {
+      /* The two halves of needle are distinct; no extra memory is
+	 required, and any mismatch results in a maximal shift.  */
+      period = MAX (suffix, needle_len - suffix) + 1;
+      j = 0;
+      while (AVAILABLE (haystack, haystack_len, j, needle_len))
+	{
+	  /* Scan for matches in right half.  */
+	  i = suffix;
+	  while (i < needle_len && (CANON_ELEMENT (needle[i])
+				    == CANON_ELEMENT (haystack[i + j])))
+	    ++i;
+	  if (needle_len <= i)
+	    {
+	      /* Scan for matches in left half.  */
+	      i = suffix - 1;
+	      while (i != SIZE_MAX && (CANON_ELEMENT (needle[i])
+				       == CANON_ELEMENT (haystack[i + j])))
+		--i;
+	      if (i == SIZE_MAX)
+		return (RETURN_TYPE) (haystack + j);
+	      j += period;
+	    }
+	  else
+	    j += i - suffix + 1;
+	}
+    }
+  return NULL;
+}
+
+/* Return the first location of non-empty NEEDLE within HAYSTACK, or
+   NULL.  HAYSTACK_LEN is the minimum known length of HAYSTACK.  This
+   method is optimized for LONG_NEEDLE_THRESHOLD <= NEEDLE_LEN.
+   Performance is guaranteed to be linear, with an initialization cost
+   of 3 * NEEDLE_LEN + (1 << CHAR_BIT) operations.
+
+   If AVAILABLE does not modify HAYSTACK_LEN (as in memmem), then at
+   most 2 * HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching,
+   and sublinear performance O(HAYSTACK_LEN / NEEDLE_LEN) is possible.
+   If AVAILABLE modifies HAYSTACK_LEN (as in strstr), then at most 3 *
+   HAYSTACK_LEN - NEEDLE_LEN comparisons occur in searching, and
+   sublinear performance is not possible.  */
+static RETURN_TYPE
+two_way_long_needle (const unsigned char *haystack, size_t haystack_len,
+		     const unsigned char *needle, size_t needle_len)
+{
+  size_t i; /* Index into current byte of NEEDLE.  */
+  size_t j; /* Index into current window of HAYSTACK.  */
+  size_t period; /* The period of the right half of needle.  */
+  size_t suffix; /* The index of the right half of needle.  */
+  size_t shift_table[1U << CHAR_BIT]; /* See below.  */
+
+  /* Factor the needle into two halves, such that the left half is
+     smaller than the global period, and the right half is
+     periodic (with a period as large as NEEDLE_LEN - suffix).  */
+  suffix = critical_factorization (needle, needle_len, &period);
+
+  /* Populate shift_table.  For each possible byte value c,
+     shift_table[c] is the distance from the last occurrence of c to
+     the end of NEEDLE, or NEEDLE_LEN if c is absent from the NEEDLE.
+     shift_table[NEEDLE[NEEDLE_LEN - 1]] contains the only 0.  */
+  for (i = 0; i < 1U << CHAR_BIT; i++)
+    shift_table[i] = needle_len;
+  for (i = 0; i < needle_len; i++)
+    shift_table[CANON_ELEMENT (needle[i])] = needle_len - i - 1;
+
+  /* Perform the search.  Each iteration compares the right half
+     first.  */
+  if (CMP_FUNC (needle, needle + period, suffix) == 0)
+    {
+      /* Entire needle is periodic; a mismatch can only advance by the
+	 period, so use memory to avoid rescanning known occurrences
+	 of the period.  */
+      size_t memory = 0;
+      size_t shift;
+      j = 0;
+      while (AVAILABLE (haystack, haystack_len, j, needle_len))
+	{
+	  /* Check the last byte first; if it does not match, then
+	     shift to the next possible match location.  */
+	  shift = shift_table[CANON_ELEMENT (haystack[j + needle_len - 1])];
+	  if (0 < shift)
+	    {
+	      if (memory && shift < period)
+		{
+		  /* Since needle is periodic, but the last period has
+		     a byte out of place, there can be no match until
+		     after the mismatch.  */
+		  shift = needle_len - period;
+		  memory = 0;
+		}
+	      j += shift;
+	      continue;
+	    }
+	  /* Scan for matches in right half.  The last byte has
+	     already been matched, by virtue of the shift table.  */
+	  i = MAX (suffix, memory);
+	  while (i < needle_len - 1 && (CANON_ELEMENT (needle[i])
+					== CANON_ELEMENT (haystack[i + j])))
+	    ++i;
+	  if (needle_len - 1 <= i)
+	    {
+	      /* Scan for matches in left half.  */
+	      i = suffix - 1;
+	      while (memory < i + 1 && (CANON_ELEMENT (needle[i])
+					== CANON_ELEMENT (haystack[i + j])))
+		--i;
+	      if (i + 1 < memory + 1)
+		return (RETURN_TYPE) (haystack + j);
+	      /* No match, so remember how many repetitions of period
+		 on the right half were scanned.  */
+	      j += period;
+	      memory = needle_len - period;
+	    }
+	  else
+	    {
+	      j += i - suffix + 1;
+	      memory = 0;
+	    }
+	}
+    }
+  else
+    {
+      /* The two halves of needle are distinct; no extra memory is
+	 required, and any mismatch results in a maximal shift.  */
+      size_t shift;
+      period = MAX (suffix, needle_len - suffix) + 1;
+      j = 0;
+      while (AVAILABLE (haystack, haystack_len, j, needle_len))
+	{
+	  /* Check the last byte first; if it does not match, then
+	     shift to the next possible match location.  */
+	  shift = shift_table[CANON_ELEMENT (haystack[j + needle_len - 1])];
+	  if (0 < shift)
+	    {
+	      j += shift;
+	      continue;
+	    }
+	  /* Scan for matches in right half.  The last byte has
+	     already been matched, by virtue of the shift table.  */
+	  i = suffix;
+	  while (i < needle_len - 1 && (CANON_ELEMENT (needle[i])
+					== CANON_ELEMENT (haystack[i + j])))
+	    ++i;
+	  if (needle_len - 1 <= i)
+	    {
+	      /* Scan for matches in left half.  */
+	      i = suffix - 1;
+	      while (i != SIZE_MAX && (CANON_ELEMENT (needle[i])
+				       == CANON_ELEMENT (haystack[i + j])))
+		--i;
+	      if (i == SIZE_MAX)
+		return (RETURN_TYPE) (haystack + j);
+	      j += period;
+	    }
+	  else
+	    j += i - suffix + 1;
+	}
+    }
+  return NULL;
+}
+
+#undef AVAILABLE
+#undef CANON_ELEMENT
+#undef CMP_FUNC
+#undef MAX
+#undef RETURN_TYPE
-- 
1.6.2.rc2
Previous: René ScharfeNext: Mike Hommey
Message 13 of 23 in “Pickaxe search clean-up and optimization”
  1. 0/4 Pickaxe search clean-up and optimizationJunio C Hamano, Feb 26, 2009
  2. 1/4 diffcore-pickaxe: refactor diffcore_pickaxe()Junio C Hamano, Feb 26, 2009
  3. René ScharfeFeb 27, 2009
  4. 2/4 diffcore-pickaxe: micro-optimize has_match() functionJunio C Hamano, Feb 26, 2009
  5. 3/4 diffcore-pickaxe: further refactor count_match()Junio C Hamano, Feb 26, 2009
  6. Kjetil BarvikFeb 26, 2009
  7. René ScharfeFeb 28, 2009
  8. Junio C HamanoFeb 28, 2009
  9. Junio C HamanoFeb 28, 2009
  10. René ScharfeFeb 28, 2009
  11. Junio C HamanoFeb 28, 2009
  12. René ScharfeFeb 28, 2009
  13. import memmem() with linear complexity from GnulibRené Scharfe, Feb 28, 2009
  14. Mike HommeyFeb 28, 2009
  15. Jeff KingMar 1, 2009
  16. René ScharfeMar 1, 2009
  17. René ScharfeMar 1, 2009
  18. Junio C HamanoMar 1, 2009
  19. René ScharfeMar 1, 2009
  20. 4/4 diffcore-pickaxe: optimize by trimming common initial and trailing partsJunio C Hamano, Feb 26, 2009
  21. Junio C HamanoFeb 26, 2009
  22. 1/2 diffcore-pickaxe: use memmem()René Scharfe, Mar 2, 2009
  23. 2/2 optimize compat/ memmem()René Scharfe, Mar 2, 2009

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