xref: /freebsd/lib/libc/stdlib/qsort.c (revision eb69d1f144a6fcc765d1b9d44a5ae8082353e70b)
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 #if defined(LIBC_SCCS) && !defined(lint)
33 static char sccsid[] = "@(#)qsort.c	8.1 (Berkeley) 6/4/93";
34 #endif /* LIBC_SCCS and not lint */
35 #include <sys/cdefs.h>
36 __FBSDID("$FreeBSD$");
37 
38 #include <stdlib.h>
39 
40 #ifdef I_AM_QSORT_R
41 typedef int		 cmp_t(void *, const void *, const void *);
42 #else
43 typedef int		 cmp_t(const void *, const void *);
44 #endif
45 static inline char	*med3(char *, char *, char *, cmp_t *, void *);
46 static inline void	 swapfunc(char *, char *, size_t, int, int);
47 
48 #define	MIN(a, b)	((a) < (b) ? a : b)
49 
50 /*
51  * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
52  */
53 #define	swapcode(TYPE, parmi, parmj, n) {		\
54 	size_t i = (n) / sizeof (TYPE);			\
55 	TYPE *pi = (TYPE *) (parmi);		\
56 	TYPE *pj = (TYPE *) (parmj);		\
57 	do { 						\
58 		TYPE	t = *pi;		\
59 		*pi++ = *pj;				\
60 		*pj++ = t;				\
61 	} while (--i > 0);				\
62 }
63 
64 #define	SWAPINIT(TYPE, a, es) swaptype_ ## TYPE =	\
65 	((char *)a - (char *)0) % sizeof(TYPE) ||	\
66 	es % sizeof(TYPE) ? 2 : es == sizeof(TYPE) ? 0 : 1;
67 
68 static inline void
69 swapfunc(char *a, char *b, size_t n, int swaptype_long, int swaptype_int)
70 {
71 	if (swaptype_long <= 1)
72 		swapcode(long, a, b, n)
73 	else if (swaptype_int <= 1)
74 		swapcode(int, a, b, n)
75 	else
76 		swapcode(char, a, b, n)
77 }
78 
79 #define	swap(a, b)					\
80 	if (swaptype_long == 0) {			\
81 		long t = *(long *)(a);			\
82 		*(long *)(a) = *(long *)(b);		\
83 		*(long *)(b) = t;			\
84 	} else if (swaptype_int == 0) {			\
85 		int t = *(int *)(a);			\
86 		*(int *)(a) = *(int *)(b);		\
87 		*(int *)(b) = t;			\
88 	} else						\
89 		swapfunc(a, b, es, swaptype_long, swaptype_int)
90 
91 #define	vecswap(a, b, n)				\
92 	if ((n) > 0) swapfunc(a, b, n, swaptype_long, swaptype_int)
93 
94 #ifdef I_AM_QSORT_R
95 #define	CMP(t, x, y) (cmp((t), (x), (y)))
96 #else
97 #define	CMP(t, x, y) (cmp((x), (y)))
98 #endif
99 
100 static inline char *
101 med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk
102 #ifndef I_AM_QSORT_R
103 __unused
104 #endif
105 )
106 {
107 	return CMP(thunk, a, b) < 0 ?
108 	       (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
109 	      :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
110 }
111 
112 #ifdef I_AM_QSORT_R
113 void
114 qsort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp)
115 #else
116 #define	thunk NULL
117 void
118 qsort(void *a, size_t n, size_t es, cmp_t *cmp)
119 #endif
120 {
121 	char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
122 	size_t d1, d2;
123 	int cmp_result;
124 	int swaptype_long, swaptype_int, swap_cnt;
125 
126 loop:	SWAPINIT(long, a, es);
127 	SWAPINIT(int, a, es);
128 	swap_cnt = 0;
129 	if (n < 7) {
130 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
131 			for (pl = pm;
132 			     pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
133 			     pl -= es)
134 				swap(pl, pl - es);
135 		return;
136 	}
137 	pm = (char *)a + (n / 2) * es;
138 	if (n > 7) {
139 		pl = a;
140 		pn = (char *)a + (n - 1) * es;
141 		if (n > 40) {
142 			size_t d = (n / 8) * es;
143 
144 			pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
145 			pm = med3(pm - d, pm, pm + d, cmp, thunk);
146 			pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
147 		}
148 		pm = med3(pl, pm, pn, cmp, thunk);
149 	}
150 	swap(a, pm);
151 	pa = pb = (char *)a + es;
152 
153 	pc = pd = (char *)a + (n - 1) * es;
154 	for (;;) {
155 		while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) {
156 			if (cmp_result == 0) {
157 				swap_cnt = 1;
158 				swap(pa, pb);
159 				pa += es;
160 			}
161 			pb += es;
162 		}
163 		while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) {
164 			if (cmp_result == 0) {
165 				swap_cnt = 1;
166 				swap(pc, pd);
167 				pd -= es;
168 			}
169 			pc -= es;
170 		}
171 		if (pb > pc)
172 			break;
173 		swap(pb, pc);
174 		swap_cnt = 1;
175 		pb += es;
176 		pc -= es;
177 	}
178 	if (swap_cnt == 0) {  /* Switch to insertion sort */
179 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
180 			for (pl = pm;
181 			     pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
182 			     pl -= es)
183 				swap(pl, pl - es);
184 		return;
185 	}
186 
187 	pn = (char *)a + n * es;
188 	d1 = MIN(pa - (char *)a, pb - pa);
189 	vecswap(a, pb - d1, d1);
190 	d1 = MIN(pd - pc, pn - pd - es);
191 	vecswap(pb, pn - d1, d1);
192 
193 	d1 = pb - pa;
194 	d2 = pd - pc;
195 	if (d1 <= d2) {
196 		/* Recurse on left partition, then iterate on right partition */
197 		if (d1 > es) {
198 #ifdef I_AM_QSORT_R
199 			qsort_r(a, d1 / es, es, thunk, cmp);
200 #else
201 			qsort(a, d1 / es, es, cmp);
202 #endif
203 		}
204 		if (d2 > es) {
205 			/* Iterate rather than recurse to save stack space */
206 			/* qsort(pn - d2, d2 / es, es, cmp); */
207 			a = pn - d2;
208 			n = d2 / es;
209 			goto loop;
210 		}
211 	} else {
212 		/* Recurse on right partition, then iterate on left partition */
213 		if (d2 > es) {
214 #ifdef I_AM_QSORT_R
215 			qsort_r(pn - d2, d2 / es, es, thunk, cmp);
216 #else
217 			qsort(pn - d2, d2 / es, es, cmp);
218 #endif
219 		}
220 		if (d1 > es) {
221 			/* Iterate rather than recurse to save stack space */
222 			/* qsort(a, d1 / es, es, cmp); */
223 			n = d1 / es;
224 			goto loop;
225 		}
226 	}
227 }
228