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      1 /*	$OpenBSD: qsort.c,v 1.10 2005/08/08 08:05:37 espie Exp $ */
      2 /*-
      3  * Copyright (c) 1992, 1993
      4  *	The Regents of the University of California.  All rights reserved.
      5  *
      6  * Redistribution and use in source and binary forms, with or without
      7  * modification, are permitted provided that the following conditions
      8  * are met:
      9  * 1. Redistributions of source code must retain the above copyright
     10  *    notice, this list of conditions and the following disclaimer.
     11  * 2. Redistributions in binary form must reproduce the above copyright
     12  *    notice, this list of conditions and the following disclaimer in the
     13  *    documentation and/or other materials provided with the distribution.
     14  * 3. Neither the name of the University nor the names of its contributors
     15  *    may be used to endorse or promote products derived from this software
     16  *    without specific prior written permission.
     17  *
     18  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
     19  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
     20  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
     21  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
     22  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
     23  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
     24  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
     25  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
     26  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
     27  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
     28  * SUCH DAMAGE.
     29  */
     30 
     31 #include <sys/types.h>
     32 #include <stdlib.h>
     33 
     34 static __inline char	*med3(char *, char *, char *, int (*)(const void *, const void *));
     35 static __inline void	 swapfunc(char *, char *, int, int);
     36 
     37 #define min(a, b)	(a) < (b) ? a : b
     38 
     39 /*
     40  * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
     41  */
     42 #define swapcode(TYPE, parmi, parmj, n) {		\
     43 	long i = (n) / sizeof (TYPE);			\
     44 	TYPE *pi = (TYPE *) (parmi);			\
     45 	TYPE *pj = (TYPE *) (parmj);			\
     46 	do {						\
     47 		TYPE	t = *pi;			\
     48 		*pi++ = *pj;				\
     49 		*pj++ = t;				\
     50         } while (--i > 0);				\
     51 }
     52 
     53 #define SWAPINIT(a, es) swaptype = ((char *)a - (char *)0) % sizeof(long) || \
     54 	es % sizeof(long) ? 2 : es == sizeof(long)? 0 : 1;
     55 
     56 static __inline void
     57 swapfunc(char *a, char *b, int n, int swaptype)
     58 {
     59 	if (swaptype <= 1)
     60 		swapcode(long, a, b, n)
     61 	else
     62 		swapcode(char, a, b, n)
     63 }
     64 
     65 #define swap(a, b)					\
     66 	if (swaptype == 0) {				\
     67 		long t = *(long *)(a);			\
     68 		*(long *)(a) = *(long *)(b);		\
     69 		*(long *)(b) = t;			\
     70 	} else						\
     71 		swapfunc(a, b, es, swaptype)
     72 
     73 #define vecswap(a, b, n)	if ((n) > 0) swapfunc(a, b, n, swaptype)
     74 
     75 static __inline char *
     76 med3(char *a, char *b, char *c, int (*cmp)(const void *, const void *))
     77 {
     78 	return cmp(a, b) < 0 ?
     79 	       (cmp(b, c) < 0 ? b : (cmp(a, c) < 0 ? c : a ))
     80               :(cmp(b, c) > 0 ? b : (cmp(a, c) < 0 ? a : c ));
     81 }
     82 
     83 void
     84 qsort(void *aa, size_t n, size_t es, int (*cmp)(const void *, const void *))
     85 {
     86 	char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
     87 	int d, r, swaptype, swap_cnt;
     88 	char *a = aa;
     89 
     90 loop:	SWAPINIT(a, es);
     91 	swap_cnt = 0;
     92 	if (n < 7) {
     93 		for (pm = (char *)a + es; pm < (char *) a + n * es; pm += es)
     94 			for (pl = pm; pl > (char *) a && cmp(pl - es, pl) > 0;
     95 			     pl -= es)
     96 				swap(pl, pl - es);
     97 		return;
     98 	}
     99 	pm = (char *)a + (n / 2) * es;
    100 	if (n > 7) {
    101 		pl = (char *)a;
    102 		pn = (char *)a + (n - 1) * es;
    103 		if (n > 40) {
    104 			d = (n / 8) * es;
    105 			pl = med3(pl, pl + d, pl + 2 * d, cmp);
    106 			pm = med3(pm - d, pm, pm + d, cmp);
    107 			pn = med3(pn - 2 * d, pn - d, pn, cmp);
    108 		}
    109 		pm = med3(pl, pm, pn, cmp);
    110 	}
    111 	swap(a, pm);
    112 	pa = pb = (char *)a + es;
    113 
    114 	pc = pd = (char *)a + (n - 1) * es;
    115 	for (;;) {
    116 		while (pb <= pc && (r = cmp(pb, a)) <= 0) {
    117 			if (r == 0) {
    118 				swap_cnt = 1;
    119 				swap(pa, pb);
    120 				pa += es;
    121 			}
    122 			pb += es;
    123 		}
    124 		while (pb <= pc && (r = cmp(pc, a)) >= 0) {
    125 			if (r == 0) {
    126 				swap_cnt = 1;
    127 				swap(pc, pd);
    128 				pd -= es;
    129 			}
    130 			pc -= es;
    131 		}
    132 		if (pb > pc)
    133 			break;
    134 		swap(pb, pc);
    135 		swap_cnt = 1;
    136 		pb += es;
    137 		pc -= es;
    138 	}
    139 	if (swap_cnt == 0) {  /* Switch to insertion sort */
    140 		for (pm = (char *) a + es; pm < (char *) a + n * es; pm += es)
    141 			for (pl = pm; pl > (char *) a && cmp(pl - es, pl) > 0;
    142 			     pl -= es)
    143 				swap(pl, pl - es);
    144 		return;
    145 	}
    146 
    147 	pn = (char *)a + n * es;
    148 	r = min(pa - (char *)a, pb - pa);
    149 	vecswap(a, pb - r, r);
    150 	r = min(pd - pc, pn - pd - (int)es);
    151 	vecswap(pb, pn - r, r);
    152 	if ((r = pb - pa) > (int)es)
    153 		qsort(a, r / es, es, cmp);
    154 	if ((r = pd - pc) > (int)es) {
    155 		/* Iterate rather than recurse to save stack space */
    156 		a = pn - r;
    157 		n = r / es;
    158 		goto loop;
    159 	}
    160 	/* qsort(pn - r, r / es, es, cmp); */
    161 }
    162