xref: /freebsd/sys/libkern/qsort.c (revision b1e34c44ef5f9e517c89a163857c55aa51be40ea)
1d89a1b60SPoul-Henning Kamp /*-
2d89a1b60SPoul-Henning Kamp  * Copyright (c) 1992, 1993
3d89a1b60SPoul-Henning Kamp  *	The Regents of the University of California.  All rights reserved.
4d89a1b60SPoul-Henning Kamp  *
5d89a1b60SPoul-Henning Kamp  * Redistribution and use in source and binary forms, with or without
6d89a1b60SPoul-Henning Kamp  * modification, are permitted provided that the following conditions
7d89a1b60SPoul-Henning Kamp  * are met:
8d89a1b60SPoul-Henning Kamp  * 1. Redistributions of source code must retain the above copyright
9d89a1b60SPoul-Henning Kamp  *    notice, this list of conditions and the following disclaimer.
10d89a1b60SPoul-Henning Kamp  * 2. Redistributions in binary form must reproduce the above copyright
11d89a1b60SPoul-Henning Kamp  *    notice, this list of conditions and the following disclaimer in the
12d89a1b60SPoul-Henning Kamp  *    documentation and/or other materials provided with the distribution.
13d89a1b60SPoul-Henning Kamp  * 4. Neither the name of the University nor the names of its contributors
14d89a1b60SPoul-Henning Kamp  *    may be used to endorse or promote products derived from this software
15d89a1b60SPoul-Henning Kamp  *    without specific prior written permission.
16d89a1b60SPoul-Henning Kamp  *
17d89a1b60SPoul-Henning Kamp  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
18d89a1b60SPoul-Henning Kamp  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19d89a1b60SPoul-Henning Kamp  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20d89a1b60SPoul-Henning Kamp  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
21d89a1b60SPoul-Henning Kamp  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
22d89a1b60SPoul-Henning Kamp  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
23d89a1b60SPoul-Henning Kamp  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
24d89a1b60SPoul-Henning Kamp  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
25d89a1b60SPoul-Henning Kamp  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
26d89a1b60SPoul-Henning Kamp  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
27d89a1b60SPoul-Henning Kamp  * SUCH DAMAGE.
28d89a1b60SPoul-Henning Kamp  */
29d89a1b60SPoul-Henning Kamp 
30ab0de15bSDavid E. O'Brien #include <sys/cdefs.h>
31ab0de15bSDavid E. O'Brien __FBSDID("$FreeBSD$");
32ab0de15bSDavid E. O'Brien 
33b1e34c44SGleb Smirnoff #include <sys/param.h>
3453592f43SPoul-Henning Kamp #include <sys/libkern.h>
35d89a1b60SPoul-Henning Kamp 
36b1e34c44SGleb Smirnoff #ifdef	I_AM_QSORT_R
37b1e34c44SGleb Smirnoff typedef int		cmp_t(void *, const void *, const void *);
38b1e34c44SGleb Smirnoff #else
398febc6baSAlfred Perlstein typedef int		cmp_t(const void *, const void *);
40b1e34c44SGleb Smirnoff #endif
41b1e34c44SGleb Smirnoff static __inline char	*med3(char *, char *, char *, cmp_t *, void *);
428febc6baSAlfred Perlstein static __inline void	 swapfunc(char *, char *, int, int);
43d89a1b60SPoul-Henning Kamp 
4429f19445SAlfred Perlstein #define min(a, b)	(a) < (b) ? (a) : (b)
45d89a1b60SPoul-Henning Kamp 
46d89a1b60SPoul-Henning Kamp /*
47d89a1b60SPoul-Henning Kamp  * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
48d89a1b60SPoul-Henning Kamp  */
49d89a1b60SPoul-Henning Kamp #define swapcode(TYPE, parmi, parmj, n) { 		\
50d89a1b60SPoul-Henning Kamp 	long i = (n) / sizeof (TYPE); 			\
51d89a1b60SPoul-Henning Kamp 	register TYPE *pi = (TYPE *) (parmi); 		\
52d89a1b60SPoul-Henning Kamp 	register TYPE *pj = (TYPE *) (parmj); 		\
53d89a1b60SPoul-Henning Kamp 	do { 						\
54d89a1b60SPoul-Henning Kamp 		register TYPE	t = *pi;		\
55d89a1b60SPoul-Henning Kamp 		*pi++ = *pj;				\
56d89a1b60SPoul-Henning Kamp 		*pj++ = t;				\
57d89a1b60SPoul-Henning Kamp         } while (--i > 0);				\
58d89a1b60SPoul-Henning Kamp }
59d89a1b60SPoul-Henning Kamp 
60d89a1b60SPoul-Henning Kamp #define SWAPINIT(a, es) swaptype = ((char *)a - (char *)0) % sizeof(long) || \
61d89a1b60SPoul-Henning Kamp 	es % sizeof(long) ? 2 : es == sizeof(long)? 0 : 1;
62d89a1b60SPoul-Henning Kamp 
63c1087c13SBruce Evans static __inline void
64b1e34c44SGleb Smirnoff swapfunc(char *a, char *b, int n, int swaptype)
65d89a1b60SPoul-Henning Kamp {
66d89a1b60SPoul-Henning Kamp 	if(swaptype <= 1)
67d89a1b60SPoul-Henning Kamp 		swapcode(long, a, b, n)
68d89a1b60SPoul-Henning Kamp 	else
69d89a1b60SPoul-Henning Kamp 		swapcode(char, a, b, n)
70d89a1b60SPoul-Henning Kamp }
71d89a1b60SPoul-Henning Kamp 
72d89a1b60SPoul-Henning Kamp #define swap(a, b)					\
73d89a1b60SPoul-Henning Kamp 	if (swaptype == 0) {				\
74d89a1b60SPoul-Henning Kamp 		long t = *(long *)(a);			\
75d89a1b60SPoul-Henning Kamp 		*(long *)(a) = *(long *)(b);		\
76d89a1b60SPoul-Henning Kamp 		*(long *)(b) = t;			\
77d89a1b60SPoul-Henning Kamp 	} else						\
78d89a1b60SPoul-Henning Kamp 		swapfunc(a, b, es, swaptype)
79d89a1b60SPoul-Henning Kamp 
80d89a1b60SPoul-Henning Kamp #define vecswap(a, b, n) 	if ((n) > 0) swapfunc(a, b, n, swaptype)
81d89a1b60SPoul-Henning Kamp 
82b1e34c44SGleb Smirnoff #ifdef I_AM_QSORT_R
83b1e34c44SGleb Smirnoff #define	CMP(t, x, y) (cmp((t), (x), (y)))
84b1e34c44SGleb Smirnoff #else
85b1e34c44SGleb Smirnoff #define	CMP(t, x, y) (cmp((x), (y)))
86b1e34c44SGleb Smirnoff #endif
87b1e34c44SGleb Smirnoff 
88c1087c13SBruce Evans static __inline char *
89b1e34c44SGleb Smirnoff med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk
90b1e34c44SGleb Smirnoff #ifndef	I_AM_QSORT_R
91b1e34c44SGleb Smirnoff __unused
92b1e34c44SGleb Smirnoff #endif
93b1e34c44SGleb Smirnoff )
94d89a1b60SPoul-Henning Kamp {
95b1e34c44SGleb Smirnoff 	return CMP(thunk, a, b) < 0 ?
96b1e34c44SGleb Smirnoff 	       (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
97b1e34c44SGleb Smirnoff               :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
98d89a1b60SPoul-Henning Kamp }
99d89a1b60SPoul-Henning Kamp 
100b1e34c44SGleb Smirnoff #ifdef I_AM_QSORT_R
101d89a1b60SPoul-Henning Kamp void
102b1e34c44SGleb Smirnoff qsort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp)
103b1e34c44SGleb Smirnoff #else
104b1e34c44SGleb Smirnoff #define	thunk NULL
105b1e34c44SGleb Smirnoff void
106b1e34c44SGleb Smirnoff qsort(void *a, size_t n, size_t es, cmp_t *cmp)
107b1e34c44SGleb Smirnoff #endif
108d89a1b60SPoul-Henning Kamp {
109d89a1b60SPoul-Henning Kamp 	char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
110d89a1b60SPoul-Henning Kamp 	int d, r, swaptype, swap_cnt;
111d89a1b60SPoul-Henning Kamp 
112d89a1b60SPoul-Henning Kamp loop:	SWAPINIT(a, es);
113d89a1b60SPoul-Henning Kamp 	swap_cnt = 0;
114d89a1b60SPoul-Henning Kamp 	if (n < 7) {
11509a8dfa2SBruce Evans 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
116b1e34c44SGleb Smirnoff 			for (pl = pm; pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
117d89a1b60SPoul-Henning Kamp 			     pl -= es)
118d89a1b60SPoul-Henning Kamp 				swap(pl, pl - es);
119d89a1b60SPoul-Henning Kamp 		return;
120d89a1b60SPoul-Henning Kamp 	}
12109a8dfa2SBruce Evans 	pm = (char *)a + (n / 2) * es;
122d89a1b60SPoul-Henning Kamp 	if (n > 7) {
123d89a1b60SPoul-Henning Kamp 		pl = a;
12409a8dfa2SBruce Evans 		pn = (char *)a + (n - 1) * es;
125d89a1b60SPoul-Henning Kamp 		if (n > 40) {
126d89a1b60SPoul-Henning Kamp 			d = (n / 8) * es;
127b1e34c44SGleb Smirnoff 			pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
128b1e34c44SGleb Smirnoff 			pm = med3(pm - d, pm, pm + d, cmp, thunk);
129b1e34c44SGleb Smirnoff 			pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
130d89a1b60SPoul-Henning Kamp 		}
131b1e34c44SGleb Smirnoff 		pm = med3(pl, pm, pn, cmp, thunk);
132d89a1b60SPoul-Henning Kamp 	}
133d89a1b60SPoul-Henning Kamp 	swap(a, pm);
13409a8dfa2SBruce Evans 	pa = pb = (char *)a + es;
135d89a1b60SPoul-Henning Kamp 
13609a8dfa2SBruce Evans 	pc = pd = (char *)a + (n - 1) * es;
137d89a1b60SPoul-Henning Kamp 	for (;;) {
138b1e34c44SGleb Smirnoff 		while (pb <= pc && (r = CMP(thunk, pb, a)) <= 0) {
139d89a1b60SPoul-Henning Kamp 			if (r == 0) {
140d89a1b60SPoul-Henning Kamp 				swap_cnt = 1;
141d89a1b60SPoul-Henning Kamp 				swap(pa, pb);
142d89a1b60SPoul-Henning Kamp 				pa += es;
143d89a1b60SPoul-Henning Kamp 			}
144d89a1b60SPoul-Henning Kamp 			pb += es;
145d89a1b60SPoul-Henning Kamp 		}
146b1e34c44SGleb Smirnoff 		while (pb <= pc && (r = CMP(thunk, pc, a)) >= 0) {
147d89a1b60SPoul-Henning Kamp 			if (r == 0) {
148d89a1b60SPoul-Henning Kamp 				swap_cnt = 1;
149d89a1b60SPoul-Henning Kamp 				swap(pc, pd);
150d89a1b60SPoul-Henning Kamp 				pd -= es;
151d89a1b60SPoul-Henning Kamp 			}
152d89a1b60SPoul-Henning Kamp 			pc -= es;
153d89a1b60SPoul-Henning Kamp 		}
154d89a1b60SPoul-Henning Kamp 		if (pb > pc)
155d89a1b60SPoul-Henning Kamp 			break;
156d89a1b60SPoul-Henning Kamp 		swap(pb, pc);
157d89a1b60SPoul-Henning Kamp 		swap_cnt = 1;
158d89a1b60SPoul-Henning Kamp 		pb += es;
159d89a1b60SPoul-Henning Kamp 		pc -= es;
160d89a1b60SPoul-Henning Kamp 	}
161d89a1b60SPoul-Henning Kamp 	if (swap_cnt == 0) {  /* Switch to insertion sort */
16209a8dfa2SBruce Evans 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
163b1e34c44SGleb Smirnoff 			for (pl = pm; pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
164d89a1b60SPoul-Henning Kamp 			     pl -= es)
165d89a1b60SPoul-Henning Kamp 				swap(pl, pl - es);
166d89a1b60SPoul-Henning Kamp 		return;
167d89a1b60SPoul-Henning Kamp 	}
168d89a1b60SPoul-Henning Kamp 
16909a8dfa2SBruce Evans 	pn = (char *)a + n * es;
170d89a1b60SPoul-Henning Kamp 	r = min(pa - (char *)a, pb - pa);
171d89a1b60SPoul-Henning Kamp 	vecswap(a, pb - r, r);
172d89a1b60SPoul-Henning Kamp 	r = min(pd - pc, pn - pd - es);
173d89a1b60SPoul-Henning Kamp 	vecswap(pb, pn - r, r);
174d89a1b60SPoul-Henning Kamp 	if ((r = pb - pa) > es)
175b1e34c44SGleb Smirnoff #ifdef	I_AM_QSORT_R
176b1e34c44SGleb Smirnoff 		qsort_r(a, r / es, es, thunk, cmp);
177b1e34c44SGleb Smirnoff #else
178d89a1b60SPoul-Henning Kamp 		qsort(a, r / es, es, cmp);
179b1e34c44SGleb Smirnoff #endif
180d89a1b60SPoul-Henning Kamp 	if ((r = pd - pc) > es) {
181d89a1b60SPoul-Henning Kamp 		/* Iterate rather than recurse to save stack space */
182d89a1b60SPoul-Henning Kamp 		a = pn - r;
183d89a1b60SPoul-Henning Kamp 		n = r / es;
184d89a1b60SPoul-Henning Kamp 		goto loop;
185d89a1b60SPoul-Henning Kamp 	}
186d89a1b60SPoul-Henning Kamp }
187