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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
swapfunc(char * a,char * b,int n,int swaptype)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 *
med3(char * a,char * b,char * c,int (* cmp)(const void *,const void *))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
qsort(void * aa,size_t n,size_t es,int (* cmp)(const void *,const 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