xref: /freebsd/sys/libkern/qsort.c (revision 51369649b03ece2aed3eb61b0c8214b9aa5b2fa2)
1d89a1b60SPoul-Henning Kamp /*-
2*51369649SPedro F. Giffuni  * SPDX-License-Identifier: BSD-3-Clause
3*51369649SPedro F. Giffuni  *
4d89a1b60SPoul-Henning Kamp  * Copyright (c) 1992, 1993
5d89a1b60SPoul-Henning Kamp  *	The Regents of the University of California.  All rights reserved.
6d89a1b60SPoul-Henning Kamp  *
7d89a1b60SPoul-Henning Kamp  * Redistribution and use in source and binary forms, with or without
8d89a1b60SPoul-Henning Kamp  * modification, are permitted provided that the following conditions
9d89a1b60SPoul-Henning Kamp  * are met:
10d89a1b60SPoul-Henning Kamp  * 1. Redistributions of source code must retain the above copyright
11d89a1b60SPoul-Henning Kamp  *    notice, this list of conditions and the following disclaimer.
12d89a1b60SPoul-Henning Kamp  * 2. Redistributions in binary form must reproduce the above copyright
13d89a1b60SPoul-Henning Kamp  *    notice, this list of conditions and the following disclaimer in the
14d89a1b60SPoul-Henning Kamp  *    documentation and/or other materials provided with the distribution.
15fbbd9655SWarner Losh  * 3. Neither the name of the University nor the names of its contributors
16d89a1b60SPoul-Henning Kamp  *    may be used to endorse or promote products derived from this software
17d89a1b60SPoul-Henning Kamp  *    without specific prior written permission.
18d89a1b60SPoul-Henning Kamp  *
19d89a1b60SPoul-Henning Kamp  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
20d89a1b60SPoul-Henning Kamp  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
21d89a1b60SPoul-Henning Kamp  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
22d89a1b60SPoul-Henning Kamp  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
23d89a1b60SPoul-Henning Kamp  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
24d89a1b60SPoul-Henning Kamp  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
25d89a1b60SPoul-Henning Kamp  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
26d89a1b60SPoul-Henning Kamp  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
27d89a1b60SPoul-Henning Kamp  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
28d89a1b60SPoul-Henning Kamp  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
29d89a1b60SPoul-Henning Kamp  * SUCH DAMAGE.
30d89a1b60SPoul-Henning Kamp  */
31d89a1b60SPoul-Henning Kamp 
32ab0de15bSDavid E. O'Brien #include <sys/cdefs.h>
33ab0de15bSDavid E. O'Brien __FBSDID("$FreeBSD$");
34ab0de15bSDavid E. O'Brien 
35b1e34c44SGleb Smirnoff #include <sys/param.h>
3653592f43SPoul-Henning Kamp #include <sys/libkern.h>
37d89a1b60SPoul-Henning Kamp 
38b1e34c44SGleb Smirnoff #ifdef I_AM_QSORT_R
39b1e34c44SGleb Smirnoff typedef int		 cmp_t(void *, const void *, const void *);
40b1e34c44SGleb Smirnoff #else
418febc6baSAlfred Perlstein typedef int		 cmp_t(const void *, const void *);
42b1e34c44SGleb Smirnoff #endif
43da31cbbcSXin LI static inline char	*med3(char *, char *, char *, cmp_t *, void *);
44da31cbbcSXin LI static inline void	 swapfunc(char *, char *, size_t, int, int);
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) {		\
50da31cbbcSXin LI 	size_t i = (n) / sizeof (TYPE);			\
51484820d4SConrad Meyer 	TYPE *pi = (TYPE *) (parmi);		\
52484820d4SConrad Meyer 	TYPE *pj = (TYPE *) (parmj);		\
53d89a1b60SPoul-Henning Kamp 	do { 						\
54484820d4SConrad Meyer 		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 
60da31cbbcSXin LI #define	SWAPINIT(TYPE, a, es) swaptype_ ## TYPE =	\
61da31cbbcSXin LI 	((char *)a - (char *)0) % sizeof(TYPE) ||	\
62da31cbbcSXin LI 	es % sizeof(TYPE) ? 2 : es == sizeof(TYPE) ? 0 : 1;
63d89a1b60SPoul-Henning Kamp 
64da31cbbcSXin LI static inline void
65da31cbbcSXin LI swapfunc(char *a, char *b, size_t n, int swaptype_long, int swaptype_int)
66d89a1b60SPoul-Henning Kamp {
67da31cbbcSXin LI 	if (swaptype_long <= 1)
68d89a1b60SPoul-Henning Kamp 		swapcode(long, a, b, n)
69da31cbbcSXin LI 	else if (swaptype_int <= 1)
70da31cbbcSXin LI 		swapcode(int, a, b, n)
71d89a1b60SPoul-Henning Kamp 	else
72d89a1b60SPoul-Henning Kamp 		swapcode(char, a, b, n)
73d89a1b60SPoul-Henning Kamp }
74d89a1b60SPoul-Henning Kamp 
75d89a1b60SPoul-Henning Kamp #define	swap(a, b)					\
76da31cbbcSXin LI 	if (swaptype_long == 0) {			\
77d89a1b60SPoul-Henning Kamp 		long t = *(long *)(a);			\
78d89a1b60SPoul-Henning Kamp 		*(long *)(a) = *(long *)(b);		\
79d89a1b60SPoul-Henning Kamp 		*(long *)(b) = t;			\
80da31cbbcSXin LI 	} else if (swaptype_int == 0) {			\
81da31cbbcSXin LI 		int t = *(int *)(a);			\
82da31cbbcSXin LI 		*(int *)(a) = *(int *)(b);		\
83da31cbbcSXin LI 		*(int *)(b) = t;			\
84d89a1b60SPoul-Henning Kamp 	} else						\
85da31cbbcSXin LI 		swapfunc(a, b, es, swaptype_long, swaptype_int)
86d89a1b60SPoul-Henning Kamp 
87da31cbbcSXin LI #define	vecswap(a, b, n)				\
88da31cbbcSXin LI 	if ((n) > 0) swapfunc(a, b, n, swaptype_long, swaptype_int)
89d89a1b60SPoul-Henning Kamp 
90b1e34c44SGleb Smirnoff #ifdef I_AM_QSORT_R
91b1e34c44SGleb Smirnoff #define	CMP(t, x, y) (cmp((t), (x), (y)))
92b1e34c44SGleb Smirnoff #else
93b1e34c44SGleb Smirnoff #define	CMP(t, x, y) (cmp((x), (y)))
94b1e34c44SGleb Smirnoff #endif
95b1e34c44SGleb Smirnoff 
96da31cbbcSXin LI static inline char *
97b1e34c44SGleb Smirnoff med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk
98b1e34c44SGleb Smirnoff #ifndef I_AM_QSORT_R
99b1e34c44SGleb Smirnoff __unused
100b1e34c44SGleb Smirnoff #endif
101b1e34c44SGleb Smirnoff )
102d89a1b60SPoul-Henning Kamp {
103b1e34c44SGleb Smirnoff 	return CMP(thunk, a, b) < 0 ?
104b1e34c44SGleb Smirnoff 	       (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
105b1e34c44SGleb Smirnoff 	      :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
106d89a1b60SPoul-Henning Kamp }
107d89a1b60SPoul-Henning Kamp 
108b1e34c44SGleb Smirnoff #ifdef I_AM_QSORT_R
109d89a1b60SPoul-Henning Kamp void
110b1e34c44SGleb Smirnoff qsort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp)
111b1e34c44SGleb Smirnoff #else
112b1e34c44SGleb Smirnoff #define	thunk NULL
113b1e34c44SGleb Smirnoff void
114b1e34c44SGleb Smirnoff qsort(void *a, size_t n, size_t es, cmp_t *cmp)
115b1e34c44SGleb Smirnoff #endif
116d89a1b60SPoul-Henning Kamp {
117d89a1b60SPoul-Henning Kamp 	char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
118da31cbbcSXin LI 	size_t d1, d2;
119da31cbbcSXin LI 	int cmp_result;
120da31cbbcSXin LI 	int swaptype_long, swaptype_int, swap_cnt;
121d89a1b60SPoul-Henning Kamp 
122da31cbbcSXin LI loop:	SWAPINIT(long, a, es);
123da31cbbcSXin LI 	SWAPINIT(int, a, es);
124d89a1b60SPoul-Henning Kamp 	swap_cnt = 0;
125d89a1b60SPoul-Henning Kamp 	if (n < 7) {
12609a8dfa2SBruce Evans 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
127da31cbbcSXin LI 			for (pl = pm;
128da31cbbcSXin LI 			     pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
129d89a1b60SPoul-Henning Kamp 			     pl -= es)
130d89a1b60SPoul-Henning Kamp 				swap(pl, pl - es);
131d89a1b60SPoul-Henning Kamp 		return;
132d89a1b60SPoul-Henning Kamp 	}
13309a8dfa2SBruce Evans 	pm = (char *)a + (n / 2) * es;
134d89a1b60SPoul-Henning Kamp 	if (n > 7) {
135d89a1b60SPoul-Henning Kamp 		pl = a;
13609a8dfa2SBruce Evans 		pn = (char *)a + (n - 1) * es;
137d89a1b60SPoul-Henning Kamp 		if (n > 40) {
138da31cbbcSXin LI 			size_t d = (n / 8) * es;
139da31cbbcSXin LI 
140b1e34c44SGleb Smirnoff 			pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
141b1e34c44SGleb Smirnoff 			pm = med3(pm - d, pm, pm + d, cmp, thunk);
142b1e34c44SGleb Smirnoff 			pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
143d89a1b60SPoul-Henning Kamp 		}
144b1e34c44SGleb Smirnoff 		pm = med3(pl, pm, pn, cmp, thunk);
145d89a1b60SPoul-Henning Kamp 	}
146d89a1b60SPoul-Henning Kamp 	swap(a, pm);
14709a8dfa2SBruce Evans 	pa = pb = (char *)a + es;
148d89a1b60SPoul-Henning Kamp 
14909a8dfa2SBruce Evans 	pc = pd = (char *)a + (n - 1) * es;
150d89a1b60SPoul-Henning Kamp 	for (;;) {
151da31cbbcSXin LI 		while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) {
152da31cbbcSXin LI 			if (cmp_result == 0) {
153d89a1b60SPoul-Henning Kamp 				swap_cnt = 1;
154d89a1b60SPoul-Henning Kamp 				swap(pa, pb);
155d89a1b60SPoul-Henning Kamp 				pa += es;
156d89a1b60SPoul-Henning Kamp 			}
157d89a1b60SPoul-Henning Kamp 			pb += es;
158d89a1b60SPoul-Henning Kamp 		}
159da31cbbcSXin LI 		while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) {
160da31cbbcSXin LI 			if (cmp_result == 0) {
161d89a1b60SPoul-Henning Kamp 				swap_cnt = 1;
162d89a1b60SPoul-Henning Kamp 				swap(pc, pd);
163d89a1b60SPoul-Henning Kamp 				pd -= es;
164d89a1b60SPoul-Henning Kamp 			}
165d89a1b60SPoul-Henning Kamp 			pc -= es;
166d89a1b60SPoul-Henning Kamp 		}
167d89a1b60SPoul-Henning Kamp 		if (pb > pc)
168d89a1b60SPoul-Henning Kamp 			break;
169d89a1b60SPoul-Henning Kamp 		swap(pb, pc);
170d89a1b60SPoul-Henning Kamp 		swap_cnt = 1;
171d89a1b60SPoul-Henning Kamp 		pb += es;
172d89a1b60SPoul-Henning Kamp 		pc -= es;
173d89a1b60SPoul-Henning Kamp 	}
174d89a1b60SPoul-Henning Kamp 	if (swap_cnt == 0) {  /* Switch to insertion sort */
17509a8dfa2SBruce Evans 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
176da31cbbcSXin LI 			for (pl = pm;
177da31cbbcSXin LI 			     pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
178d89a1b60SPoul-Henning Kamp 			     pl -= es)
179d89a1b60SPoul-Henning Kamp 				swap(pl, pl - es);
180d89a1b60SPoul-Henning Kamp 		return;
181d89a1b60SPoul-Henning Kamp 	}
182d89a1b60SPoul-Henning Kamp 
18309a8dfa2SBruce Evans 	pn = (char *)a + n * es;
184da31cbbcSXin LI 	d1 = MIN(pa - (char *)a, pb - pa);
185da31cbbcSXin LI 	vecswap(a, pb - d1, d1);
186da31cbbcSXin LI 	d1 = MIN(pd - pc, pn - pd - es);
187da31cbbcSXin LI 	vecswap(pb, pn - d1, d1);
188da31cbbcSXin LI 
189da31cbbcSXin LI 	d1 = pb - pa;
190da31cbbcSXin LI 	d2 = pd - pc;
191da31cbbcSXin LI 	if (d1 <= d2) {
192da31cbbcSXin LI 		/* Recurse on left partition, then iterate on right partition */
193da31cbbcSXin LI 		if (d1 > es) {
194b1e34c44SGleb Smirnoff #ifdef I_AM_QSORT_R
195da31cbbcSXin LI 			qsort_r(a, d1 / es, es, thunk, cmp);
196b1e34c44SGleb Smirnoff #else
197da31cbbcSXin LI 			qsort(a, d1 / es, es, cmp);
198b1e34c44SGleb Smirnoff #endif
199da31cbbcSXin LI 		}
200da31cbbcSXin LI 		if (d2 > es) {
201d89a1b60SPoul-Henning Kamp 			/* Iterate rather than recurse to save stack space */
202da31cbbcSXin LI 			/* qsort(pn - d2, d2 / es, es, cmp); */
203da31cbbcSXin LI 			a = pn - d2;
204da31cbbcSXin LI 			n = d2 / es;
205d89a1b60SPoul-Henning Kamp 			goto loop;
206d89a1b60SPoul-Henning Kamp 		}
207da31cbbcSXin LI 	} else {
208da31cbbcSXin LI 		/* Recurse on right partition, then iterate on left partition */
209da31cbbcSXin LI 		if (d2 > es) {
210da31cbbcSXin LI #ifdef I_AM_QSORT_R
211da31cbbcSXin LI 			qsort_r(pn - d2, d2 / es, es, thunk, cmp);
212da31cbbcSXin LI #else
213da31cbbcSXin LI 			qsort(pn - d2, d2 / es, es, cmp);
214da31cbbcSXin LI #endif
215da31cbbcSXin LI 		}
216da31cbbcSXin LI 		if (d1 > es) {
217da31cbbcSXin LI 			/* Iterate rather than recurse to save stack space */
218da31cbbcSXin LI 			/* qsort(a, d1 / es, es, cmp); */
219da31cbbcSXin LI 			n = d1 / es;
220da31cbbcSXin LI 			goto loop;
221da31cbbcSXin LI 		}
222da31cbbcSXin LI 	}
223d89a1b60SPoul-Henning Kamp }
224