glib/libglib/src/gqsort.c
author Shabe Razvi <shaber@symbian.org>
Tue, 29 Jun 2010 11:29:33 +0100
branchRCL_3
changeset 40 ddd39d92c350
parent 0 e4d67989cc36
permissions -rw-r--r--
Bug 3123 - libstdcppv5.dll fails to link due to missing symbols
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/* GLIB - Library of useful routines for C programming
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 * Copyright (C) 1991, 1992, 1996, 1997,1999,2004 Free Software Foundation, Inc.
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 * Copyright (C) 2000 Eazel, Inc.
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 * Copyright (C) 1995-1997  Peter Mattis, Spencer Kimball and Josh MacDonald
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 * Portions copyright (c) 2006 Nokia Corporation.  All rights reserved.
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 *
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 * This library is free software; you can redistribute it and/or
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 * modify it under the terms of the GNU Lesser General Public
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 * License as published by the Free Software Foundation; either
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 * version 2 of the License, or (at your option) any later version.
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 *
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 * This library is distributed in the hope that it will be useful,
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 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.	 See the GNU
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 * Lesser General Public License for more details.
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 *
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 * You should have received a copy of the GNU Lesser General Public
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 * License along with this library; if not, write to the
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 * Free Software Foundation, Inc., 59 Temple Place - Suite 330,
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 * Boston, MA 02111-1307, USA.
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 */
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/*
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 * This file was originally part of the GNU C Library, and was modified to allow
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 * user data to be passed in to the sorting function.
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 *
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 * Written by Douglas C. Schmidt (schmidt@ics.uci.edu).
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 * Modified by Maciej Stachowiak (mjs@eazel.com)
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 *
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 * Modified by the GLib Team and others 1997-2000.  See the AUTHORS
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 * file for a list of people on the GLib Team.  See the ChangeLog
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 * files for a list of changes.  These files are distributed with GLib
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 * at ftp://ftp.gtk.org/pub/gtk/.
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 */
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#include "config.h"
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#include <limits.h>
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#include <stdlib.h>
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#include <string.h>
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#include "glib.h"
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#include "galias.h"
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/* Byte-wise swap two items of size SIZE. */
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#define SWAP(a, b, size)						      \
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  do									      \
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    {									      \
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      register size_t __size = (size);					      \
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      register char *__a = (a), *__b = (b);				      \
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      do								      \
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	{								      \
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	  char __tmp = *__a;						      \
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	  *__a++ = *__b;						      \
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	  *__b++ = __tmp;						      \
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	} while (--__size > 0);						      \
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    } while (0)
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/* Discontinue quicksort algorithm when partition gets below this size.
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   This particular magic number was chosen to work best on a Sun 4/260. */
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#define MAX_THRESH 4
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/* Stack node declarations used to store unfulfilled partition obligations. */
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typedef struct
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  {
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    char *lo;
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    char *hi;
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  } stack_node;
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/* The next 4 #defines implement a very fast in-line stack abstraction. */
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/* The stack needs log (total_elements) entries (we could even subtract
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   log(MAX_THRESH)).  Since total_elements has type size_t, we get as
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   upper bound for log (total_elements):
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   bits per byte (CHAR_BIT) * sizeof(size_t).  */
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#define STACK_SIZE	(CHAR_BIT * sizeof(size_t))
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#define PUSH(low, high)	((void) ((top->lo = (low)), (top->hi = (high)), ++top))
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#define	POP(low, high)	((void) (--top, (low = top->lo), (high = top->hi)))
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#define	STACK_NOT_EMPTY	(stack < top)
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/* Order size using quicksort.  This implementation incorporates
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   four optimizations discussed in Sedgewick:
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   1. Non-recursive, using an explicit stack of pointer that store the
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      next array partition to sort.  To save time, this maximum amount
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      of space required to store an array of SIZE_MAX is allocated on the
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      stack.  Assuming a 32-bit (64 bit) integer for size_t, this needs
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      only 32 * sizeof(stack_node) == 256 bytes (for 64 bit: 1024 bytes).
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      Pretty cheap, actually.
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   2. Chose the pivot element using a median-of-three decision tree.
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      This reduces the probability of selecting a bad pivot value and
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      eliminates certain extraneous comparisons.
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   3. Only quicksorts TOTAL_ELEMS / MAX_THRESH partitions, leaving
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      insertion sort to order the MAX_THRESH items within each partition.
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      This is a big win, since insertion sort is faster for small, mostly
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      sorted array segments.
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   4. The larger of the two sub-partitions is always pushed onto the
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      stack first, with the algorithm then concentrating on the
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      smaller partition.  This *guarantees* no more than log (total_elems)
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      stack size is needed (actually O(1) in this case)!  */
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/**
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 * g_qsort_with_data:
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 * @pbase: start of array to sort
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 * @total_elems: elements in the array
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 * @size: size of each element
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 * @compare_func: function to compare elements
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parents:
diff changeset
   111
 * @user_data: data to pass to @compare_func
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parents:
diff changeset
   112
 *
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   113
 * This is just like the standard C qsort() function, but
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   114
 * the comparison routine accepts a user data argument.
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   115
 * 
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parents:
diff changeset
   116
 **/
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parents:
diff changeset
   117
EXPORT_C void
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parents:
diff changeset
   118
g_qsort_with_data (gconstpointer    pbase,
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   119
		   gint             total_elems,
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diff changeset
   120
		   gsize            size,
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parents:
diff changeset
   121
		   GCompareDataFunc compare_func,
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parents:
diff changeset
   122
		   gpointer         user_data)
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   123
{
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diff changeset
   124
  register char *base_ptr = (char *) pbase;
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   125
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
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   126
  const size_t max_thresh = MAX_THRESH * size;
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   127
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   128
  g_return_if_fail (total_elems >= 0);
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   129
  g_return_if_fail (pbase != NULL || total_elems == 0);
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
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diff changeset
   130
  g_return_if_fail (compare_func != NULL);
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   131
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parents:
diff changeset
   132
  if (total_elems == 0)
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   133
    /* Avoid lossage with unsigned arithmetic below.  */
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
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diff changeset
   134
    return;
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parents:
diff changeset
   135
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   136
  if (total_elems > MAX_THRESH)
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   137
    {
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
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   138
      char *lo = base_ptr;
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   139
      char *hi = &lo[size * (total_elems - 1)];
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
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diff changeset
   140
      stack_node stack[STACK_SIZE];
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
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   141
      stack_node *top = stack;
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   142
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   143
      PUSH (NULL, NULL);
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   144
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   145
      while (STACK_NOT_EMPTY)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   146
        {
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   147
          char *left_ptr;
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   148
          char *right_ptr;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   149
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   150
	  /* Select median value from among LO, MID, and HI. Rearrange
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   151
	     LO and HI so the three values are sorted. This lowers the
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   152
	     probability of picking a pathological pivot value and
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   153
	     skips a comparison for both the LEFT_PTR and RIGHT_PTR in
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   154
	     the while loops. */
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   155
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   156
	  char *mid = lo + size * ((hi - lo) / size >> 1);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   157
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   158
	  if ((*compare_func) ((void *) mid, (void *) lo, user_data) < 0)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   159
	    SWAP (mid, lo, size);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   160
	  if ((*compare_func) ((void *) hi, (void *) mid, user_data) < 0)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   161
	    SWAP (mid, hi, size);
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   162
	  else
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   163
	    goto jump_over;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   164
	  if ((*compare_func) ((void *) mid, (void *) lo, user_data) < 0)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   165
	    SWAP (mid, lo, size);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   166
	jump_over:;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   167
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   168
	  left_ptr  = lo + size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   169
	  right_ptr = hi - size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   170
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   171
	  /* Here's the famous ``collapse the walls'' section of quicksort.
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   172
	     Gotta like those tight inner loops!  They are the main reason
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   173
	     that this algorithm runs much faster than others. */
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   174
	  do
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   175
	    {
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   176
	      while ((*compare_func) ((void *) left_ptr, (void *) mid, user_data) < 0)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   177
		left_ptr += size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   178
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   179
	      while ((*compare_func) ((void *) mid, (void *) right_ptr, user_data) < 0)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   180
		right_ptr -= size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   181
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   182
	      if (left_ptr < right_ptr)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   183
		{
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   184
		  SWAP (left_ptr, right_ptr, size);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   185
		  if (mid == left_ptr)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   186
		    mid = right_ptr;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   187
		  else if (mid == right_ptr)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   188
		    mid = left_ptr;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   189
		  left_ptr += size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   190
		  right_ptr -= size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   191
		}
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   192
	      else if (left_ptr == right_ptr)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   193
		{
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   194
		  left_ptr += size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   195
		  right_ptr -= size;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   196
		  break;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   197
		}
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   198
	    }
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   199
	  while (left_ptr <= right_ptr);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   200
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   201
          /* Set up pointers for next iteration.  First determine whether
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   202
             left and right partitions are below the threshold size.  If so,
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   203
             ignore one or both.  Otherwise, push the larger partition's
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   204
             bounds on the stack and continue sorting the smaller one. */
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   205
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   206
          if ((size_t) (right_ptr - lo) <= max_thresh)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   207
            {
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   208
              if ((size_t) (hi - left_ptr) <= max_thresh)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   209
		/* Ignore both small partitions. */
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   210
                POP (lo, hi);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   211
              else
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   212
		/* Ignore small left partition. */
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   213
                lo = left_ptr;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   214
            }
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   215
          else if ((size_t) (hi - left_ptr) <= max_thresh)
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   216
	    /* Ignore small right partition. */
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   217
            hi = right_ptr;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   218
          else if ((right_ptr - lo) > (hi - left_ptr))
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   219
            {
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   220
	      /* Push larger left partition indices. */
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   221
              PUSH (lo, right_ptr);
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   222
              lo = left_ptr;
e4d67989cc36 Revision: 201002
Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
diff changeset
   223
            }
e4d67989cc36 Revision: 201002
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          else
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            {
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	      /* Push larger right partition indices. */
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              PUSH (left_ptr, hi);
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              hi = right_ptr;
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            }
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        }
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    }
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  /* Once the BASE_PTR array is partially sorted by quicksort the rest
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     is completely sorted using insertion sort, since this is efficient
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     for partitions below MAX_THRESH size. BASE_PTR points to the beginning
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     of the array to sort, and END_PTR points at the very last element in
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     the array (*not* one beyond it!). */
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#define min(x, y) ((x) < (y) ? (x) : (y))
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  {
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    char *const end_ptr = &base_ptr[size * (total_elems - 1)];
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    char *tmp_ptr = base_ptr;
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    char *thresh = min(end_ptr, base_ptr + max_thresh);
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    register char *run_ptr;
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    /* Find smallest element in first threshold and place it at the
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       array's beginning.  This is the smallest array element,
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       and the operation speeds up insertion sort's inner loop. */
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    for (run_ptr = tmp_ptr + size; run_ptr <= thresh; run_ptr += size)
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      if ((*compare_func) ((void *) run_ptr, (void *) tmp_ptr, user_data) < 0)
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        tmp_ptr = run_ptr;
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    if (tmp_ptr != base_ptr)
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      SWAP (tmp_ptr, base_ptr, size);
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    /* Insertion sort, running from left-hand-side up to right-hand-side.  */
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    run_ptr = base_ptr + size;
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    while ((run_ptr += size) <= end_ptr)
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      {
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	tmp_ptr = run_ptr - size;
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	while ((*compare_func) ((void *) run_ptr, (void *) tmp_ptr, user_data) < 0)
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	  tmp_ptr -= size;
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	tmp_ptr += size;
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        if (tmp_ptr != run_ptr)
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          {
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            char *trav;
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	    trav = run_ptr + size;
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	    while (--trav >= run_ptr)
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              {
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                char c = *trav;
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                char *hi, *lo;
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                for (hi = lo = trav; (lo -= size) >= tmp_ptr; hi = lo)
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                  *hi = *lo;
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                *hi = c;
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              }
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          }
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      }
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  }
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}
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#define __G_QSORT_C__
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#include "galiasdef.c"