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)
33static char sccsid[] = "@(#)qsort.c	8.1 (Berkeley) 6/4/93";
34#endif /* LIBC_SCCS and not lint */
35
36#include <errno.h>
37#include <stdint.h>
38#include <stdlib.h>
39#include <string.h>
40
41typedef int		 cmp_t(const void *, const void *);
42static inline char	*med3(char *, char *, char *, cmp_t *, void *);
43
44#define	MIN(a, b)	((a) < (b) ? a : b)
45
46/*
47 * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
48 */
49
50static inline void
51swapfunc(char *a, char *b, size_t es)
52{
53	char t;
54
55	do {
56		t = *a;
57		*a++ = *b;
58		*b++ = t;
59	} while (--es > 0);
60}
61
62#define	vecswap(a, b, n)				\
63	if ((n) > 0) swapfunc(a, b, n)
64
65#define	CMP(t, x, y) (cmp((x), (y)))
66
67static inline char *
68med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk)
69{
70	return CMP(thunk, a, b) < 0 ?
71		   (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
72		  :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
73}
74
75/*
76 * The actual qsort() implementation is static to avoid preemptible calls when
77 * recursing. Also give them different names for improved debugging.
78 */
79static void
80local_qsort(void *a, size_t n, size_t es, cmp_t *cmp, void *thunk)
81{
82	char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
83	size_t d1, d2;
84	int cmp_result;
85	int swap_cnt;
86
87	/* if there are less than 2 elements, then sorting is not needed */
88	if (n < 2)
89		return;
90loop:
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;
95				 pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
96				 pl -= es)
97				swapfunc(pl, pl - es, es);
98		return;
99	}
100	pm = (char *)a + (n / 2) * es;
101	if (n > 7) {
102		pl = a;
103		pn = (char *)a + (n - 1) * es;
104		if (n > 40) {
105			size_t d = (n / 8) * es;
106
107			pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
108			pm = med3(pm - d, pm, pm + d, cmp, thunk);
109			pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
110		}
111		pm = med3(pl, pm, pn, cmp, thunk);
112	}
113	swapfunc(a, pm, es);
114	pa = pb = (char *)a + es;
115
116	pc = pd = (char *)a + (n - 1) * es;
117	for (;;) {
118		while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) {
119			if (cmp_result == 0) {
120				swap_cnt = 1;
121				swapfunc(pa, pb, es);
122				pa += es;
123			}
124			pb += es;
125		}
126		while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) {
127			if (cmp_result == 0) {
128				swap_cnt = 1;
129				swapfunc(pc, pd, es);
130				pd -= es;
131			}
132			pc -= es;
133		}
134		if (pb > pc)
135			break;
136		swapfunc(pb, pc, es);
137		swap_cnt = 1;
138		pb += es;
139		pc -= es;
140	}
141	if (swap_cnt == 0) {  /* Switch to insertion sort */
142		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
143			for (pl = pm;
144				 pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
145				 pl -= es)
146				swapfunc(pl, pl - es, es);
147		return;
148	}
149
150	pn = (char *)a + n * es;
151	d1 = MIN(pa - (char *)a, pb - pa);
152	vecswap(a, pb - d1, d1);
153	/*
154	 * Cast es to preserve signedness of right-hand side of MIN()
155	 * expression, to avoid sign ambiguity in the implied comparison.  es
156	 * is safely within [0, SSIZE_MAX].
157	 */
158	d1 = MIN(pd - pc, pn - pd - (ssize_t)es);
159	vecswap(pb, pn - d1, d1);
160
161	d1 = pb - pa;
162	d2 = pd - pc;
163	if (d1 <= d2) {
164		/* Recurse on left partition, then iterate on right partition */
165		if (d1 > es) {
166			local_qsort(a, d1 / es, es, cmp, thunk);
167		}
168		if (d2 > es) {
169			/* Iterate rather than recurse to save stack space */
170			/* qsort(pn - d2, d2 / es, es, cmp); */
171			a = pn - d2;
172			n = d2 / es;
173			goto loop;
174		}
175	} else {
176		/* Recurse on right partition, then iterate on left partition */
177		if (d2 > es) {
178			local_qsort(pn - d2, d2 / es, es, cmp, thunk);
179		}
180		if (d1 > es) {
181			/* Iterate rather than recurse to save stack space */
182			/* qsort(a, d1 / es, es, cmp); */
183			n = d1 / es;
184			goto loop;
185		}
186	}
187}
188
189void
190qsort(void *a, size_t n, size_t es, cmp_t *cmp)
191{
192	local_qsort(a, n, es, cmp, NULL);
193}
194