annotate src/stdlib/SDL_qsort.c @ 2185:2032348afed1

This code adds support for DirectColor visuals to SDL 1.3. The support uses part of the Xmu library. To ensure that the library is available and to keep people form having to install yet another library I have added the essential parts of Xmu in src/video/extensions/XmuStdCmap and an include file in src/video/extensions. The support makes use of standard X11 mechanisms to create color maps and make sure that an application uses the same color map for each window/visual combination. This should make it possible for gamma support to be implemented based on a single color map per application. Hurm... it looks like "make indent" modified a few extra files. Those are getting committed too.
author Bob Pendleton <bob@pendleton.com>
date Thu, 12 Jul 2007 20:00:50 +0000
parents c121d94672cb
children dc1eb82ffdaa
rev   line source
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1 /* qsort.c
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2 * (c) 1998 Gareth McCaughan
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3 *
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4 * This is a drop-in replacement for the C library's |qsort()| routine.
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5 *
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6 * Features:
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7 * - Median-of-three pivoting (and more)
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8 * - Truncation and final polishing by a single insertion sort
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9 * - Early truncation when no swaps needed in pivoting step
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10 * - Explicit recursion, guaranteed not to overflow
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11 * - A few little wrinkles stolen from the GNU |qsort()|.
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12 * - separate code for non-aligned / aligned / word-size objects
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13 *
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14 * This code may be reproduced freely provided
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15 * - this file is retained unaltered apart from minor
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16 * changes for portability and efficiency
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17 * - no changes are made to this comment
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18 * - any changes that *are* made are clearly flagged
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19 * - the _ID string below is altered by inserting, after
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20 * the date, the string " altered" followed at your option
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21 * by other material. (Exceptions: you may change the name
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22 * of the exported routine without changing the ID string.
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23 * You may change the values of the macros TRUNC_* and
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24 * PIVOT_THRESHOLD without changing the ID string, provided
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25 * they remain constants with TRUNC_nonaligned, TRUNC_aligned
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26 * and TRUNC_words/WORD_BYTES between 8 and 24, and
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27 * PIVOT_THRESHOLD between 32 and 200.)
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28 *
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29 * You may use it in anything you like; you may make money
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30 * out of it; you may distribute it in object form or as
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31 * part of an executable without including source code;
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32 * you don't have to credit me. (But it would be nice if
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33 * you did.)
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34 *
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35 * If you find problems with this code, or find ways of
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36 * making it significantly faster, please let me know!
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37 * My e-mail address, valid as of early 1998 and certainly
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38 * OK for at least the next 18 months, is
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39 * gjm11@dpmms.cam.ac.uk
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40 * Thanks!
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41 *
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42 * Gareth McCaughan Peterhouse Cambridge 1998
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43 */
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44 #include "SDL_config.h"
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45
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46 /*
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47 #include <assert.h>
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48 #include <stdlib.h>
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49 #include <string.h>
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50 */
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51 #include "SDL_stdinc.h"
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52
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53 #define assert(X)
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54 #define malloc SDL_malloc
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55 #define free SDL_free
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56 #define memcpy SDL_memcpy
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57 #define memmove SDL_memmove
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58 #define qsort SDL_qsort
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59
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60
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61 #ifndef HAVE_QSORT
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62
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63 static char _ID[] = "<qsort.c gjm 1.12 1998-03-19>";
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64
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65 /* How many bytes are there per word? (Must be a power of 2,
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66 * and must in fact equal sizeof(int).)
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67 */
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68 #define WORD_BYTES sizeof(int)
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69
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70 /* How big does our stack need to be? Answer: one entry per
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71 * bit in a |size_t|.
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72 */
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73 #define STACK_SIZE (8*sizeof(size_t))
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74
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75 /* Different situations have slightly different requirements,
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76 * and we make life epsilon easier by using different truncation
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77 * points for the three different cases.
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78 * So far, I have tuned TRUNC_words and guessed that the same
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79 * value might work well for the other two cases. Of course
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80 * what works well on my machine might work badly on yours.
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81 */
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82 #define TRUNC_nonaligned 12
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83 #define TRUNC_aligned 12
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84 #define TRUNC_words 12*WORD_BYTES /* nb different meaning */
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85
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86 /* We use a simple pivoting algorithm for shortish sub-arrays
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87 * and a more complicated one for larger ones. The threshold
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88 * is PIVOT_THRESHOLD.
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89 */
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90 #define PIVOT_THRESHOLD 40
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91
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92 typedef struct
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93 {
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94 char *first;
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95 char *last;
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96 } stack_entry;
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97 #define pushLeft {stack[stacktop].first=ffirst;stack[stacktop++].last=last;}
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98 #define pushRight {stack[stacktop].first=first;stack[stacktop++].last=llast;}
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99 #define doLeft {first=ffirst;llast=last;continue;}
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100 #define doRight {ffirst=first;last=llast;continue;}
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101 #define pop {if (--stacktop<0) break;\
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102 first=ffirst=stack[stacktop].first;\
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103 last=llast=stack[stacktop].last;\
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104 continue;}
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105
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106 /* Some comments on the implementation.
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107 * 1. When we finish partitioning the array into "low"
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108 * and "high", we forget entirely about short subarrays,
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109 * because they'll be done later by insertion sort.
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110 * Doing lots of little insertion sorts might be a win
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111 * on large datasets for locality-of-reference reasons,
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112 * but it makes the code much nastier and increases
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113 * bookkeeping overhead.
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114 * 2. We always save the shorter and get to work on the
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115 * longer. This guarantees that every time we push
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116 * an item onto the stack its size is <= 1/2 of that
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117 * of its parent; so the stack can't need more than
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118 * log_2(max-array-size) entries.
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119 * 3. We choose a pivot by looking at the first, last
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120 * and middle elements. We arrange them into order
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121 * because it's easy to do that in conjunction with
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122 * choosing the pivot, and it makes things a little
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123 * easier in the partitioning step. Anyway, the pivot
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124 * is the middle of these three. It's still possible
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125 * to construct datasets where the algorithm takes
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126 * time of order n^2, but it simply never happens in
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127 * practice.
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128 * 3' Newsflash: On further investigation I find that
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129 * it's easy to construct datasets where median-of-3
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130 * simply isn't good enough. So on large-ish subarrays
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131 * we do a more sophisticated pivoting: we take three
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132 * sets of 3 elements, find their medians, and then
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133 * take the median of those.
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134 * 4. We copy the pivot element to a separate place
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135 * because that way we can always do our comparisons
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136 * directly against a pointer to that separate place,
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137 * and don't have to wonder "did we move the pivot
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138 * element?". This makes the inner loop better.
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139 * 5. It's possible to make the pivoting even more
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140 * reliable by looking at more candidates when n
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141 * is larger. (Taking this to its logical conclusion
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142 * results in a variant of quicksort that doesn't
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143 * have that n^2 worst case.) However, the overhead
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144 * from the extra bookkeeping means that it's just
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145 * not worth while.
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146 * 6. This is pretty clean and portable code. Here are
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147 * all the potential portability pitfalls and problems
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148 * I know of:
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149 * - In one place (the insertion sort) I construct
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150 * a pointer that points just past the end of the
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151 * supplied array, and assume that (a) it won't
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152 * compare equal to any pointer within the array,
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153 * and (b) it will compare equal to a pointer
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154 * obtained by stepping off the end of the array.
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155 * These might fail on some segmented architectures.
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156 * - I assume that there are 8 bits in a |char| when
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157 * computing the size of stack needed. This would
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158 * fail on machines with 9-bit or 16-bit bytes.
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159 * - I assume that if |((int)base&(sizeof(int)-1))==0|
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160 * and |(size&(sizeof(int)-1))==0| then it's safe to
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161 * get at array elements via |int*|s, and that if
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162 * actually |size==sizeof(int)| as well then it's
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163 * safe to treat the elements as |int|s. This might
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164 * fail on systems that convert pointers to integers
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165 * in non-standard ways.
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166 * - I assume that |8*sizeof(size_t)<=INT_MAX|. This
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167 * would be false on a machine with 8-bit |char|s,
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168 * 16-bit |int|s and 4096-bit |size_t|s. :-)
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169 */
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170
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171 /* The recursion logic is the same in each case: */
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172 #define Recurse(Trunc) \
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173 { size_t l=last-ffirst,r=llast-first; \
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174 if (l<Trunc) { \
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175 if (r>=Trunc) doRight \
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176 else pop \
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177 } \
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178 else if (l<=r) { pushLeft; doRight } \
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179 else if (r>=Trunc) { pushRight; doLeft }\
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180 else doLeft \
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181 }
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182
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183 /* and so is the pivoting logic: */
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184 #define Pivot(swapper,sz) \
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185 if ((size_t)(last-first)>PIVOT_THRESHOLD*sz) mid=pivot_big(first,mid,last,sz,compare);\
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186 else { \
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187 if (compare(first,mid)<0) { \
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188 if (compare(mid,last)>0) { \
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189 swapper(mid,last); \
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190 if (compare(first,mid)>0) swapper(first,mid);\
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191 } \
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192 } \
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193 else { \
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194 if (compare(mid,last)>0) swapper(first,last)\
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195 else { \
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196 swapper(first,mid); \
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197 if (compare(mid,last)>0) swapper(mid,last);\
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198 } \
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199 } \
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200 first+=sz; last-=sz; \
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201 }
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202
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203 #ifdef DEBUG_QSORT
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204 #include <stdio.h>
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205 #endif
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206
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207 /* and so is the partitioning logic: */
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208 #define Partition(swapper,sz) { \
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209 int swapped=0; \
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210 do { \
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211 while (compare(first,pivot)<0) first+=sz; \
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212 while (compare(pivot,last)<0) last-=sz; \
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213 if (first<last) { \
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214 swapper(first,last); swapped=1; \
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215 first+=sz; last-=sz; } \
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216 else if (first==last) { first+=sz; last-=sz; break; }\
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217 } while (first<=last); \
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218 if (!swapped) pop \
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219 }
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220
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221 /* and so is the pre-insertion-sort operation of putting
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222 * the smallest element into place as a sentinel.
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223 * Doing this makes the inner loop nicer. I got this
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224 * idea from the GNU implementation of qsort().
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225 */
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226 #define PreInsertion(swapper,limit,sz) \
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227 first=base; \
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228 last=first + (nmemb>limit ? limit : nmemb-1)*sz;\
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229 while (last!=base) { \
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230 if (compare(first,last)>0) first=last; \
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231 last-=sz; } \
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232 if (first!=base) swapper(first,(char*)base);
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233
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234 /* and so is the insertion sort, in the first two cases: */
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235 #define Insertion(swapper) \
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236 last=((char*)base)+nmemb*size; \
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237 for (first=((char*)base)+size;first!=last;first+=size) { \
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238 char *test; \
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239 /* Find the right place for |first|. \
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240 * My apologies for var reuse. */ \
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241 for (test=first-size;compare(test,first)>0;test-=size) ; \
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242 test+=size; \
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243 if (test!=first) { \
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244 /* Shift everything in [test,first) \
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245 * up by one, and place |first| \
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246 * where |test| is. */ \
1337
c687f06c7473 Don't touch code that we brought in from other sources
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247 memcpy(pivot,first,size); \
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248 memmove(test+size,test,first-test); \
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249 memcpy(test,pivot,size); \
1330
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250 } \
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251 }
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252
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253 #define SWAP_nonaligned(a,b) { \
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254 register char *aa=(a),*bb=(b); \
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255 register size_t sz=size; \
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256 do { register char t=*aa; *aa++=*bb; *bb++=t; } while (--sz); }
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257
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258 #define SWAP_aligned(a,b) { \
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259 register int *aa=(int*)(a),*bb=(int*)(b); \
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diff changeset
260 register size_t sz=size; \
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261 do { register int t=*aa;*aa++=*bb; *bb++=t; } while (sz-=WORD_BYTES); }
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diff changeset
262
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263 #define SWAP_words(a,b) { \
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diff changeset
264 register int t=*((int*)a); *((int*)a)=*((int*)b); *((int*)b)=t; }
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diff changeset
265
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266 /* ---------------------------------------------------------------------- */
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267
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268 static char *
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269 pivot_big(char *first, char *mid, char *last, size_t size,
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270 int compare(const void *, const void *))
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271 {
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272 size_t d = (((last - first) / size) >> 3) * size;
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273 char *m1, *m2, *m3;
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274 {
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diff changeset
275 char *a = first, *b = first + d, *c = first + 2 * d;
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276 #ifdef DEBUG_QSORT
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277 fprintf(stderr, "< %d %d %d\n", *(int *) a, *(int *) b, *(int *) c);
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278 #endif
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279 m1 = compare(a, b) < 0 ?
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280 (compare(b, c) < 0 ? b : (compare(a, c) < 0 ? c : a))
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281 : (compare(a, c) < 0 ? a : (compare(b, c) < 0 ? c : b));
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282 }
c121d94672cb SDL 1.2 is moving to a branch, and SDL 1.3 is becoming the head.
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diff changeset
283 {
c121d94672cb SDL 1.2 is moving to a branch, and SDL 1.3 is becoming the head.
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diff changeset
284 char *a = mid - d, *b = mid, *c = mid + d;
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285 #ifdef DEBUG_QSORT
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286 fprintf(stderr, ". %d %d %d\n", *(int *) a, *(int *) b, *(int *) c);
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287 #endif
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288 m2 = compare(a, b) < 0 ?
c121d94672cb SDL 1.2 is moving to a branch, and SDL 1.3 is becoming the head.
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289 (compare(b, c) < 0 ? b : (compare(a, c) < 0 ? c : a))
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290 : (compare(a, c) < 0 ? a : (compare(b, c) < 0 ? c : b));
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291 }
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diff changeset
292 {
c121d94672cb SDL 1.2 is moving to a branch, and SDL 1.3 is becoming the head.
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diff changeset
293 char *a = last - 2 * d, *b = last - d, *c = last;
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294 #ifdef DEBUG_QSORT
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295 fprintf(stderr, "> %d %d %d\n", *(int *) a, *(int *) b, *(int *) c);
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296 #endif
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297 m3 = compare(a, b) < 0 ?
c121d94672cb SDL 1.2 is moving to a branch, and SDL 1.3 is becoming the head.
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298 (compare(b, c) < 0 ? b : (compare(a, c) < 0 ? c : a))
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299 : (compare(a, c) < 0 ? a : (compare(b, c) < 0 ? c : b));
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300 }
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301 #ifdef DEBUG_QSORT
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302 fprintf(stderr, "-> %d %d %d\n", *(int *) m1, *(int *) m2, *(int *) m3);
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303 #endif
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304 return compare(m1, m2) < 0 ?
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305 (compare(m2, m3) < 0 ? m2 : (compare(m1, m3) < 0 ? m3 : m1))
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306 : (compare(m1, m3) < 0 ? m1 : (compare(m2, m3) < 0 ? m3 : m2));
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307 }
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308
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309 /* ---------------------------------------------------------------------- */
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310
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311 static void
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312 qsort_nonaligned(void *base, size_t nmemb, size_t size,
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313 int (*compare) (const void *, const void *))
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314 {
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315
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316 stack_entry stack[STACK_SIZE];
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317 int stacktop = 0;
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318 char *first, *last;
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319 char *pivot = malloc(size);
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320 size_t trunc = TRUNC_nonaligned * size;
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321 assert(pivot != 0);
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322
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323 first = (char *) base;
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324 last = first + (nmemb - 1) * size;
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325
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326 if ((size_t) (last - first) > trunc) {
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327 char *ffirst = first, *llast = last;
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328 while (1) {
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329 /* Select pivot */
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330 {
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331 char *mid = first + size * ((last - first) / size >> 1);
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332 Pivot(SWAP_nonaligned, size);
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333 memcpy(pivot, mid, size);
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334 }
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335 /* Partition. */
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336 Partition(SWAP_nonaligned, size);
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337 /* Prepare to recurse/iterate. */
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338 Recurse(trunc)}
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339 }
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340 PreInsertion(SWAP_nonaligned, TRUNC_nonaligned, size);
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341 Insertion(SWAP_nonaligned);
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342 free(pivot);
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343 }
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344
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345 static void
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346 qsort_aligned(void *base, size_t nmemb, size_t size,
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347 int (*compare) (const void *, const void *))
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348 {
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349
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350 stack_entry stack[STACK_SIZE];
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351 int stacktop = 0;
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diff changeset
352 char *first, *last;
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353 char *pivot = malloc(size);
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354 size_t trunc = TRUNC_aligned * size;
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355 assert(pivot != 0);
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356
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357 first = (char *) base;
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358 last = first + (nmemb - 1) * size;
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359
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360 if ((size_t) (last - first) > trunc) {
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361 char *ffirst = first, *llast = last;
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diff changeset
362 while (1) {
c121d94672cb SDL 1.2 is moving to a branch, and SDL 1.3 is becoming the head.
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diff changeset
363 /* Select pivot */
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diff changeset
364 {
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diff changeset
365 char *mid = first + size * ((last - first) / size >> 1);
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366 Pivot(SWAP_aligned, size);
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367 memcpy(pivot, mid, size);
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368 }
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diff changeset
369 /* Partition. */
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diff changeset
370 Partition(SWAP_aligned, size);
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diff changeset
371 /* Prepare to recurse/iterate. */
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diff changeset
372 Recurse(trunc)}
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373 }
1895
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diff changeset
374 PreInsertion(SWAP_aligned, TRUNC_aligned, size);
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diff changeset
375 Insertion(SWAP_aligned);
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diff changeset
376 free(pivot);
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diff changeset
377 }
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diff changeset
378
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diff changeset
379 static void
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diff changeset
380 qsort_words(void *base, size_t nmemb,
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381 int (*compare) (const void *, const void *))
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382 {
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383
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384 stack_entry stack[STACK_SIZE];
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385 int stacktop = 0;
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386 char *first, *last;
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387 char *pivot = malloc(WORD_BYTES);
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388 assert(pivot != 0);
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389
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390 first = (char *) base;
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391 last = first + (nmemb - 1) * WORD_BYTES;
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392
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393 if (last - first > TRUNC_words) {
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394 char *ffirst = first, *llast = last;
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395 while (1) {
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396 #ifdef DEBUG_QSORT
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397 fprintf(stderr, "Doing %d:%d: ",
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398 (first - (char *) base) / WORD_BYTES,
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399 (last - (char *) base) / WORD_BYTES);
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400 #endif
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401 /* Select pivot */
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402 {
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403 char *mid =
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404 first + WORD_BYTES * ((last - first) / (2 * WORD_BYTES));
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405 Pivot(SWAP_words, WORD_BYTES);
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406 *(int *) pivot = *(int *) mid;
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407 }
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408 #ifdef DEBUG_QSORT
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409 fprintf(stderr, "pivot=%d\n", *(int *) pivot);
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410 #endif
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411 /* Partition. */
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412 Partition(SWAP_words, WORD_BYTES);
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413 /* Prepare to recurse/iterate. */
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414 Recurse(TRUNC_words)}
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415 }
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416 PreInsertion(SWAP_words, (TRUNC_words / WORD_BYTES), WORD_BYTES);
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417 /* Now do insertion sort. */
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418 last = ((char *) base) + nmemb * WORD_BYTES;
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419 for (first = ((char *) base) + WORD_BYTES; first != last;
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420 first += WORD_BYTES) {
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421 /* Find the right place for |first|. My apologies for var reuse */
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422 int *pl = (int *) (first - WORD_BYTES), *pr = (int *) first;
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423 *(int *) pivot = *(int *) first;
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424 for (; compare(pl, pivot) > 0; pr = pl, --pl) {
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425 *pr = *pl;
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426 }
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427 if (pr != (int *) first)
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428 *pr = *(int *) pivot;
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429 }
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430 free(pivot);
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431 }
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432
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433 /* ---------------------------------------------------------------------- */
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434
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435 void
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436 qsort(void *base, size_t nmemb, size_t size,
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437 int (*compare) (const void *, const void *))
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438 {
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439
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440 if (nmemb <= 1)
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441 return;
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442 if (((uintptr_t) base | size) & (WORD_BYTES - 1))
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443 qsort_nonaligned(base, nmemb, size, compare);
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444 else if (size != WORD_BYTES)
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445 qsort_aligned(base, nmemb, size, compare);
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446 else
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447 qsort_words(base, nmemb, compare);
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448 }
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449
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450 #endif /* !HAVE_QSORT */
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451 /* vi: set ts=4 sw=4 expandtab: */