annotate src/stdlib/SDL_qsort.c @ 1817:0ab4c830141f

Saved a little space by not including the CodeWarrior 5 XML projects
author Sam Lantinga <slouken@libsdl.org>
date Thu, 11 May 2006 15:52:41 +0000
parents 84de7511f79f
children 782fd950bd46 c121d94672cb 5bacec0933f5
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 { char * first; char * last; } stack_entry;
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93 #define pushLeft {stack[stacktop].first=ffirst;stack[stacktop++].last=last;}
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94 #define pushRight {stack[stacktop].first=first;stack[stacktop++].last=llast;}
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95 #define doLeft {first=ffirst;llast=last;continue;}
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96 #define doRight {ffirst=first;last=llast;continue;}
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97 #define pop {if (--stacktop<0) break;\
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98 first=ffirst=stack[stacktop].first;\
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99 last=llast=stack[stacktop].last;\
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100 continue;}
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101
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102 /* Some comments on the implementation.
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103 * 1. When we finish partitioning the array into "low"
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104 * and "high", we forget entirely about short subarrays,
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105 * because they'll be done later by insertion sort.
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106 * Doing lots of little insertion sorts might be a win
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107 * on large datasets for locality-of-reference reasons,
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108 * but it makes the code much nastier and increases
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109 * bookkeeping overhead.
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110 * 2. We always save the shorter and get to work on the
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111 * longer. This guarantees that every time we push
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112 * an item onto the stack its size is <= 1/2 of that
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113 * of its parent; so the stack can't need more than
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114 * log_2(max-array-size) entries.
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115 * 3. We choose a pivot by looking at the first, last
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116 * and middle elements. We arrange them into order
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117 * because it's easy to do that in conjunction with
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118 * choosing the pivot, and it makes things a little
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119 * easier in the partitioning step. Anyway, the pivot
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120 * is the middle of these three. It's still possible
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121 * to construct datasets where the algorithm takes
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122 * time of order n^2, but it simply never happens in
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123 * practice.
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124 * 3' Newsflash: On further investigation I find that
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125 * it's easy to construct datasets where median-of-3
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126 * simply isn't good enough. So on large-ish subarrays
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127 * we do a more sophisticated pivoting: we take three
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128 * sets of 3 elements, find their medians, and then
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129 * take the median of those.
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130 * 4. We copy the pivot element to a separate place
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131 * because that way we can always do our comparisons
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132 * directly against a pointer to that separate place,
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133 * and don't have to wonder "did we move the pivot
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134 * element?". This makes the inner loop better.
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135 * 5. It's possible to make the pivoting even more
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136 * reliable by looking at more candidates when n
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137 * is larger. (Taking this to its logical conclusion
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138 * results in a variant of quicksort that doesn't
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139 * have that n^2 worst case.) However, the overhead
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140 * from the extra bookkeeping means that it's just
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141 * not worth while.
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142 * 6. This is pretty clean and portable code. Here are
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143 * all the potential portability pitfalls and problems
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144 * I know of:
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145 * - In one place (the insertion sort) I construct
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146 * a pointer that points just past the end of the
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147 * supplied array, and assume that (a) it won't
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148 * compare equal to any pointer within the array,
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149 * and (b) it will compare equal to a pointer
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150 * obtained by stepping off the end of the array.
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151 * These might fail on some segmented architectures.
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152 * - I assume that there are 8 bits in a |char| when
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153 * computing the size of stack needed. This would
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154 * fail on machines with 9-bit or 16-bit bytes.
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155 * - I assume that if |((int)base&(sizeof(int)-1))==0|
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156 * and |(size&(sizeof(int)-1))==0| then it's safe to
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157 * get at array elements via |int*|s, and that if
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158 * actually |size==sizeof(int)| as well then it's
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159 * safe to treat the elements as |int|s. This might
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160 * fail on systems that convert pointers to integers
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161 * in non-standard ways.
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162 * - I assume that |8*sizeof(size_t)<=INT_MAX|. This
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163 * would be false on a machine with 8-bit |char|s,
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164 * 16-bit |int|s and 4096-bit |size_t|s. :-)
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165 */
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166
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167 /* The recursion logic is the same in each case: */
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168 #define Recurse(Trunc) \
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169 { size_t l=last-ffirst,r=llast-first; \
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170 if (l<Trunc) { \
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171 if (r>=Trunc) doRight \
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172 else pop \
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173 } \
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174 else if (l<=r) { pushLeft; doRight } \
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175 else if (r>=Trunc) { pushRight; doLeft }\
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176 else doLeft \
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177 }
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178
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179 /* and so is the pivoting logic: */
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180 #define Pivot(swapper,sz) \
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181 if ((size_t)(last-first)>PIVOT_THRESHOLD*sz) mid=pivot_big(first,mid,last,sz,compare);\
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182 else { \
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183 if (compare(first,mid)<0) { \
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184 if (compare(mid,last)>0) { \
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185 swapper(mid,last); \
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186 if (compare(first,mid)>0) swapper(first,mid);\
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187 } \
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188 } \
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189 else { \
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190 if (compare(mid,last)>0) swapper(first,last)\
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191 else { \
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192 swapper(first,mid); \
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193 if (compare(mid,last)>0) swapper(mid,last);\
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194 } \
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195 } \
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196 first+=sz; last-=sz; \
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197 }
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198
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199 #ifdef DEBUG_QSORT
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200 #include <stdio.h>
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201 #endif
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202
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203 /* and so is the partitioning logic: */
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204 #define Partition(swapper,sz) { \
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205 int swapped=0; \
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206 do { \
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207 while (compare(first,pivot)<0) first+=sz; \
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208 while (compare(pivot,last)<0) last-=sz; \
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209 if (first<last) { \
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210 swapper(first,last); swapped=1; \
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211 first+=sz; last-=sz; } \
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212 else if (first==last) { first+=sz; last-=sz; break; }\
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213 } while (first<=last); \
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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214 if (!swapped) pop \
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215 }
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216
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217 /* and so is the pre-insertion-sort operation of putting
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218 * the smallest element into place as a sentinel.
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219 * Doing this makes the inner loop nicer. I got this
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220 * idea from the GNU implementation of qsort().
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221 */
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222 #define PreInsertion(swapper,limit,sz) \
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223 first=base; \
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224 last=first + (nmemb>limit ? limit : nmemb-1)*sz;\
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225 while (last!=base) { \
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226 if (compare(first,last)>0) first=last; \
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227 last-=sz; } \
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228 if (first!=base) swapper(first,(char*)base);
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229
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230 /* and so is the insertion sort, in the first two cases: */
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231 #define Insertion(swapper) \
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232 last=((char*)base)+nmemb*size; \
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233 for (first=((char*)base)+size;first!=last;first+=size) { \
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234 char *test; \
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235 /* Find the right place for |first|. \
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236 * My apologies for var reuse. */ \
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237 for (test=first-size;compare(test,first)>0;test-=size) ; \
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238 test+=size; \
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239 if (test!=first) { \
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240 /* Shift everything in [test,first) \
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241 * up by one, and place |first| \
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242 * where |test| is. */ \
1337
c687f06c7473 Don't touch code that we brought in from other sources
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243 memcpy(pivot,first,size); \
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244 memmove(test+size,test,first-test); \
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245 memcpy(test,pivot,size); \
1330
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246 } \
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247 }
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248
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249 #define SWAP_nonaligned(a,b) { \
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250 register char *aa=(a),*bb=(b); \
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251 register size_t sz=size; \
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252 do { register char t=*aa; *aa++=*bb; *bb++=t; } while (--sz); }
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253
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254 #define SWAP_aligned(a,b) { \
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255 register int *aa=(int*)(a),*bb=(int*)(b); \
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256 register size_t sz=size; \
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257 do { register int t=*aa;*aa++=*bb; *bb++=t; } while (sz-=WORD_BYTES); }
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258
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259 #define SWAP_words(a,b) { \
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260 register int t=*((int*)a); *((int*)a)=*((int*)b); *((int*)b)=t; }
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261
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262 /* ---------------------------------------------------------------------- */
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263
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264 static char * pivot_big(char *first, char *mid, char *last, size_t size,
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diff changeset
265 int compare(const void *, const void *)) {
1456
84de7511f79f Fixed a bunch of 64-bit compatibility problems
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266 size_t d=(((last-first)/size)>>3)*size;
1330
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267 char *m1,*m2,*m3;
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268 { char *a=first, *b=first+d, *c=first+2*d;
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269 #ifdef DEBUG_QSORT
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270 fprintf(stderr,"< %d %d %d\n",*(int*)a,*(int*)b,*(int*)c);
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271 #endif
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272 m1 = compare(a,b)<0 ?
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diff changeset
273 (compare(b,c)<0 ? b : (compare(a,c)<0 ? c : a))
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274 : (compare(a,c)<0 ? a : (compare(b,c)<0 ? c : b));
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275 }
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276 { char *a=mid-d, *b=mid, *c=mid+d;
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277 #ifdef DEBUG_QSORT
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278 fprintf(stderr,". %d %d %d\n",*(int*)a,*(int*)b,*(int*)c);
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279 #endif
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280 m2 = compare(a,b)<0 ?
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diff changeset
281 (compare(b,c)<0 ? b : (compare(a,c)<0 ? c : a))
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282 : (compare(a,c)<0 ? a : (compare(b,c)<0 ? c : b));
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283 }
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284 { char *a=last-2*d, *b=last-d, *c=last;
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diff changeset
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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diff changeset
287 #endif
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diff changeset
288 m3 = compare(a,b)<0 ?
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diff changeset
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 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
292 #ifdef DEBUG_QSORT
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diff changeset
293 fprintf(stderr,"-> %d %d %d\n",*(int*)m1,*(int*)m2,*(int*)m3);
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diff changeset
294 #endif
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diff changeset
295 return compare(m1,m2)<0 ?
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diff changeset
296 (compare(m2,m3)<0 ? m2 : (compare(m1,m3)<0 ? m3 : m1))
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297 : (compare(m1,m3)<0 ? m1 : (compare(m2,m3)<0 ? m3 : m2));
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298 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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299
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300 /* ---------------------------------------------------------------------- */
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301
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diff changeset
302 static void qsort_nonaligned(void *base, size_t nmemb, size_t size,
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diff changeset
303 int (*compare)(const void *, const void *)) {
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diff changeset
304
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
305 stack_entry stack[STACK_SIZE];
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
306 int stacktop=0;
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diff changeset
307 char *first,*last;
1337
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308 char *pivot=malloc(size);
1330
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309 size_t trunc=TRUNC_nonaligned*size;
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diff changeset
310 assert(pivot!=0);
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311
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
312 first=(char*)base; last=first+(nmemb-1)*size;
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diff changeset
313
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
314 if ((size_t)(last-first)>trunc) {
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
315 char *ffirst=first, *llast=last;
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diff changeset
316 while (1) {
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diff changeset
317 /* Select pivot */
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diff changeset
318 { char * mid=first+size*((last-first)/size >> 1);
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319 Pivot(SWAP_nonaligned,size);
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320 memcpy(pivot,mid,size);
1330
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321 }
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322 /* Partition. */
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
323 Partition(SWAP_nonaligned,size);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
324 /* Prepare to recurse/iterate. */
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
325 Recurse(trunc)
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diff changeset
326 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
327 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
328 PreInsertion(SWAP_nonaligned,TRUNC_nonaligned,size);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
329 Insertion(SWAP_nonaligned);
1337
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330 free(pivot);
1330
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331 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
332
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diff changeset
333 static void qsort_aligned(void *base, size_t nmemb, size_t size,
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
334 int (*compare)(const void *, const void *)) {
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
335
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
336 stack_entry stack[STACK_SIZE];
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
337 int stacktop=0;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
338 char *first,*last;
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339 char *pivot=malloc(size);
1330
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340 size_t trunc=TRUNC_aligned*size;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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341 assert(pivot!=0);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
342
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
343 first=(char*)base; last=first+(nmemb-1)*size;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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344
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
345 if ((size_t)(last-first)>trunc) {
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
346 char *ffirst=first,*llast=last;
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diff changeset
347 while (1) {
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348 /* Select pivot */
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diff changeset
349 { char * mid=first+size*((last-first)/size >> 1);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
350 Pivot(SWAP_aligned,size);
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351 memcpy(pivot,mid,size);
1330
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352 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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353 /* Partition. */
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
354 Partition(SWAP_aligned,size);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
355 /* Prepare to recurse/iterate. */
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
356 Recurse(trunc)
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
357 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
358 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
359 PreInsertion(SWAP_aligned,TRUNC_aligned,size);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
360 Insertion(SWAP_aligned);
1337
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361 free(pivot);
1330
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diff changeset
362 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
363
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
364 static void qsort_words(void *base, size_t nmemb,
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
365 int (*compare)(const void *, const void *)) {
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
366
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
367 stack_entry stack[STACK_SIZE];
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
368 int stacktop=0;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
369 char *first,*last;
1337
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370 char *pivot=malloc(WORD_BYTES);
1330
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
371 assert(pivot!=0);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
372
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
373 first=(char*)base; last=first+(nmemb-1)*WORD_BYTES;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
374
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
375 if (last-first>TRUNC_words) {
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
376 char *ffirst=first, *llast=last;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
377 while (1) {
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
378 #ifdef DEBUG_QSORT
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
379 fprintf(stderr,"Doing %d:%d: ",
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
380 (first-(char*)base)/WORD_BYTES,
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
381 (last-(char*)base)/WORD_BYTES);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
382 #endif
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
383 /* Select pivot */
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
384 { char * mid=first+WORD_BYTES*((last-first) / (2*WORD_BYTES));
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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parents:
diff changeset
385 Pivot(SWAP_words,WORD_BYTES);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
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diff changeset
386 *(int*)pivot=*(int*)mid;
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
387 }
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
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diff changeset
388 #ifdef DEBUG_QSORT
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
389 fprintf(stderr,"pivot=%d\n",*(int*)pivot);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
390 #endif
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
391 /* Partition. */
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
392 Partition(SWAP_words,WORD_BYTES);
450721ad5436 It's now possible to build SDL without any C runtime at all on Windows,
Sam Lantinga <slouken@libsdl.org>
parents:
diff changeset
393 /* Prepare to recurse/iterate. */
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394 Recurse(TRUNC_words)
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395 }
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396 }
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397 PreInsertion(SWAP_words,(TRUNC_words/WORD_BYTES),WORD_BYTES);
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398 /* Now do insertion sort. */
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399 last=((char*)base)+nmemb*WORD_BYTES;
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400 for (first=((char*)base)+WORD_BYTES;first!=last;first+=WORD_BYTES) {
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401 /* Find the right place for |first|. My apologies for var reuse */
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402 int *pl=(int*)(first-WORD_BYTES),*pr=(int*)first;
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403 *(int*)pivot=*(int*)first;
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404 for (;compare(pl,pivot)>0;pr=pl,--pl) {
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405 *pr=*pl; }
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406 if (pr!=(int*)first) *pr=*(int*)pivot;
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407 }
1337
c687f06c7473 Don't touch code that we brought in from other sources
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408 free(pivot);
1330
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409 }
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410
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411 /* ---------------------------------------------------------------------- */
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412
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413 void qsort(void *base, size_t nmemb, size_t size,
1330
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414 int (*compare)(const void *, const void *)) {
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415
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416 if (nmemb<=1) return;
1456
84de7511f79f Fixed a bunch of 64-bit compatibility problems
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417 if (((uintptr_t)base|size)&(WORD_BYTES-1))
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418 qsort_nonaligned(base,nmemb,size,compare);
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419 else if (size!=WORD_BYTES)
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420 qsort_aligned(base,nmemb,size,compare);
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421 else
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422 qsort_words(base,nmemb,compare);
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423 }
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424
1331
1cbaeee565b1 A few fixes to get this building on Linux again
Sam Lantinga <slouken@libsdl.org>
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425 #endif /* !HAVE_QSORT */