The Design and Implementation of the FreeBSD Operating System, Second Edition
Now available: The Design and Implementation of the FreeBSD Operating System (Second Edition)


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FreeBSD/Linux Kernel Cross Reference
sys/libkern/qsort.c

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    1 /*-
    2  * SPDX-License-Identifier: BSD-3-Clause
    3  *
    4  * Copyright (c) 1992, 1993
    5  *      The Regents of the University of California.  All rights reserved.
    6  *
    7  * Redistribution and use in source and binary forms, with or without
    8  * modification, are permitted provided that the following conditions
    9  * are met:
   10  * 1. Redistributions of source code must retain the above copyright
   11  *    notice, this list of conditions and the following disclaimer.
   12  * 2. Redistributions in binary form must reproduce the above copyright
   13  *    notice, this list of conditions and the following disclaimer in the
   14  *    documentation and/or other materials provided with the distribution.
   15  * 3. Neither the name of the University nor the names of its contributors
   16  *    may be used to endorse or promote products derived from this software
   17  *    without specific prior written permission.
   18  *
   19  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
   20  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
   21  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
   22  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
   23  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
   24  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
   25  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
   26  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
   27  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
   28  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
   29  * SUCH DAMAGE.
   30  */
   31 
   32 #include <sys/cdefs.h>
   33 __FBSDID("$FreeBSD$");
   34 
   35 #include <sys/param.h>
   36 #include <sys/libkern.h>
   37 
   38 #ifdef I_AM_QSORT_R
   39 typedef int              cmp_t(void *, const void *, const void *);
   40 #else
   41 typedef int              cmp_t(const void *, const void *);
   42 #endif
   43 static inline char      *med3(char *, char *, char *, cmp_t *, void *);
   44 static inline void       swapfunc(char *, char *, size_t, int, int);
   45 
   46 /*
   47  * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
   48  */
   49 #define swapcode(TYPE, parmi, parmj, n) {               \
   50         size_t i = (n) / sizeof (TYPE);                 \
   51         TYPE *pi = (TYPE *) (parmi);            \
   52         TYPE *pj = (TYPE *) (parmj);            \
   53         do {                                            \
   54                 TYPE    t = *pi;                \
   55                 *pi++ = *pj;                            \
   56                 *pj++ = t;                              \
   57         } while (--i > 0);                              \
   58 }
   59 
   60 #define SWAPINIT(TYPE, a, es) swaptype_ ## TYPE =       \
   61         ((char *)a - (char *)0) % sizeof(TYPE) ||       \
   62         es % sizeof(TYPE) ? 2 : es == sizeof(TYPE) ? 0 : 1;
   63 
   64 static inline void
   65 swapfunc(char *a, char *b, size_t n, int swaptype_long, int swaptype_int)
   66 {
   67         if (swaptype_long <= 1)
   68                 swapcode(long, a, b, n)
   69         else if (swaptype_int <= 1)
   70                 swapcode(int, a, b, n)
   71         else
   72                 swapcode(char, a, b, n)
   73 }
   74 
   75 #define swap(a, b)                                      \
   76         if (swaptype_long == 0) {                       \
   77                 long t = *(long *)(a);                  \
   78                 *(long *)(a) = *(long *)(b);            \
   79                 *(long *)(b) = t;                       \
   80         } else if (swaptype_int == 0) {                 \
   81                 int t = *(int *)(a);                    \
   82                 *(int *)(a) = *(int *)(b);              \
   83                 *(int *)(b) = t;                        \
   84         } else                                          \
   85                 swapfunc(a, b, es, swaptype_long, swaptype_int)
   86 
   87 #define vecswap(a, b, n)                                \
   88         if ((n) > 0) swapfunc(a, b, n, swaptype_long, swaptype_int)
   89 
   90 #ifdef I_AM_QSORT_R
   91 #define CMP(t, x, y) (cmp((t), (x), (y)))
   92 #else
   93 #define CMP(t, x, y) (cmp((x), (y)))
   94 #endif
   95 
   96 static inline char *
   97 med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk
   98 #ifndef I_AM_QSORT_R
   99 __unused
  100 #endif
  101 )
  102 {
  103         return CMP(thunk, a, b) < 0 ?
  104                (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
  105               :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
  106 }
  107 
  108 #ifdef I_AM_QSORT_R
  109 void
  110 qsort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp)
  111 #else
  112 #define thunk NULL
  113 void
  114 qsort(void *a, size_t n, size_t es, cmp_t *cmp)
  115 #endif
  116 {
  117         char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
  118         size_t d1, d2;
  119         int cmp_result;
  120         int swaptype_long, swaptype_int, swap_cnt;
  121 
  122 loop:   SWAPINIT(long, a, es);
  123         SWAPINIT(int, a, es);
  124         swap_cnt = 0;
  125         if (n < 7) {
  126                 for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
  127                         for (pl = pm; 
  128                              pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
  129                              pl -= es)
  130                                 swap(pl, pl - es);
  131                 return;
  132         }
  133         pm = (char *)a + (n / 2) * es;
  134         if (n > 7) {
  135                 pl = a;
  136                 pn = (char *)a + (n - 1) * es;
  137                 if (n > 40) {
  138                         size_t d = (n / 8) * es;
  139 
  140                         pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
  141                         pm = med3(pm - d, pm, pm + d, cmp, thunk);
  142                         pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
  143                 }
  144                 pm = med3(pl, pm, pn, cmp, thunk);
  145         }
  146         swap(a, pm);
  147         pa = pb = (char *)a + es;
  148 
  149         pc = pd = (char *)a + (n - 1) * es;
  150         for (;;) {
  151                 while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) {
  152                         if (cmp_result == 0) {
  153                                 swap_cnt = 1;
  154                                 swap(pa, pb);
  155                                 pa += es;
  156                         }
  157                         pb += es;
  158                 }
  159                 while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) {
  160                         if (cmp_result == 0) {
  161                                 swap_cnt = 1;
  162                                 swap(pc, pd);
  163                                 pd -= es;
  164                         }
  165                         pc -= es;
  166                 }
  167                 if (pb > pc)
  168                         break;
  169                 swap(pb, pc);
  170                 swap_cnt = 1;
  171                 pb += es;
  172                 pc -= es;
  173         }
  174         if (swap_cnt == 0) {  /* Switch to insertion sort */
  175                 for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
  176                         for (pl = pm; 
  177                              pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
  178                              pl -= es)
  179                                 swap(pl, pl - es);
  180                 return;
  181         }
  182 
  183         pn = (char *)a + n * es;
  184         d1 = MIN(pa - (char *)a, pb - pa);
  185         vecswap(a, pb - d1, d1);
  186         d1 = MIN(pd - pc, pn - pd - es);
  187         vecswap(pb, pn - d1, d1);
  188 
  189         d1 = pb - pa;
  190         d2 = pd - pc;
  191         if (d1 <= d2) {
  192                 /* Recurse on left partition, then iterate on right partition */
  193                 if (d1 > es) {
  194 #ifdef I_AM_QSORT_R
  195                         qsort_r(a, d1 / es, es, thunk, cmp);
  196 #else
  197                         qsort(a, d1 / es, es, cmp);
  198 #endif
  199                 }
  200                 if (d2 > es) {
  201                         /* Iterate rather than recurse to save stack space */
  202                         /* qsort(pn - d2, d2 / es, es, cmp); */
  203                         a = pn - d2;
  204                         n = d2 / es;
  205                         goto loop;
  206                 }
  207         } else {
  208                 /* Recurse on right partition, then iterate on left partition */
  209                 if (d2 > es) {
  210 #ifdef I_AM_QSORT_R
  211                         qsort_r(pn - d2, d2 / es, es, thunk, cmp);
  212 #else
  213                         qsort(pn - d2, d2 / es, es, cmp);
  214 #endif
  215                 }
  216                 if (d1 > es) {
  217                         /* Iterate rather than recurse to save stack space */
  218                         /* qsort(a, d1 / es, es, cmp); */
  219                         n = d1 / es;
  220                         goto loop;
  221                 }
  222         }
  223 }

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