xref: /freebsd/sys/libkern/qsort.c (revision 41059135ce931c0f1014a999ffabc6bc470ce856)
1 /*-
2  * Copyright (c) 1992, 1993
3  *	The Regents of the University of California.  All rights reserved.
4  *
5  * Redistribution and use in source and binary forms, with or without
6  * modification, are permitted provided that the following conditions
7  * are met:
8  * 1. Redistributions of source code must retain the above copyright
9  *    notice, this list of conditions and the following disclaimer.
10  * 2. Redistributions in binary form must reproduce the above copyright
11  *    notice, this list of conditions and the following disclaimer in the
12  *    documentation and/or other materials provided with the distribution.
13  * 3. Neither the name of the University nor the names of its contributors
14  *    may be used to endorse or promote products derived from this software
15  *    without specific prior written permission.
16  *
17  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
18  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
19  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
20  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
21  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
22  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
23  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
24  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
25  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
26  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
27  * SUCH DAMAGE.
28  */
29 
30 #include <sys/cdefs.h>
31 __FBSDID("$FreeBSD$");
32 
33 #include <sys/param.h>
34 #include <sys/libkern.h>
35 
36 #ifdef I_AM_QSORT_R
37 typedef int		 cmp_t(void *, const void *, const void *);
38 #else
39 typedef int		 cmp_t(const void *, const void *);
40 #endif
41 static inline char	*med3(char *, char *, char *, cmp_t *, void *);
42 static inline void	 swapfunc(char *, char *, size_t, int, int);
43 
44 /*
45  * Qsort routine from Bentley & McIlroy's "Engineering a Sort Function".
46  */
47 #define	swapcode(TYPE, parmi, parmj, n) {		\
48 	size_t i = (n) / sizeof (TYPE);			\
49 	TYPE *pi = (TYPE *) (parmi);		\
50 	TYPE *pj = (TYPE *) (parmj);		\
51 	do { 						\
52 		TYPE	t = *pi;		\
53 		*pi++ = *pj;				\
54 		*pj++ = t;				\
55 	} while (--i > 0);				\
56 }
57 
58 #define	SWAPINIT(TYPE, a, es) swaptype_ ## TYPE =	\
59 	((char *)a - (char *)0) % sizeof(TYPE) ||	\
60 	es % sizeof(TYPE) ? 2 : es == sizeof(TYPE) ? 0 : 1;
61 
62 static inline void
63 swapfunc(char *a, char *b, size_t n, int swaptype_long, int swaptype_int)
64 {
65 	if (swaptype_long <= 1)
66 		swapcode(long, a, b, n)
67 	else if (swaptype_int <= 1)
68 		swapcode(int, a, b, n)
69 	else
70 		swapcode(char, a, b, n)
71 }
72 
73 #define	swap(a, b)					\
74 	if (swaptype_long == 0) {			\
75 		long t = *(long *)(a);			\
76 		*(long *)(a) = *(long *)(b);		\
77 		*(long *)(b) = t;			\
78 	} else if (swaptype_int == 0) {			\
79 		int t = *(int *)(a);			\
80 		*(int *)(a) = *(int *)(b);		\
81 		*(int *)(b) = t;			\
82 	} else						\
83 		swapfunc(a, b, es, swaptype_long, swaptype_int)
84 
85 #define	vecswap(a, b, n)				\
86 	if ((n) > 0) swapfunc(a, b, n, swaptype_long, swaptype_int)
87 
88 #ifdef I_AM_QSORT_R
89 #define	CMP(t, x, y) (cmp((t), (x), (y)))
90 #else
91 #define	CMP(t, x, y) (cmp((x), (y)))
92 #endif
93 
94 static inline char *
95 med3(char *a, char *b, char *c, cmp_t *cmp, void *thunk
96 #ifndef I_AM_QSORT_R
97 __unused
98 #endif
99 )
100 {
101 	return CMP(thunk, a, b) < 0 ?
102 	       (CMP(thunk, b, c) < 0 ? b : (CMP(thunk, a, c) < 0 ? c : a ))
103 	      :(CMP(thunk, b, c) > 0 ? b : (CMP(thunk, a, c) < 0 ? a : c ));
104 }
105 
106 #ifdef I_AM_QSORT_R
107 void
108 qsort_r(void *a, size_t n, size_t es, void *thunk, cmp_t *cmp)
109 #else
110 #define	thunk NULL
111 void
112 qsort(void *a, size_t n, size_t es, cmp_t *cmp)
113 #endif
114 {
115 	char *pa, *pb, *pc, *pd, *pl, *pm, *pn;
116 	size_t d1, d2;
117 	int cmp_result;
118 	int swaptype_long, swaptype_int, swap_cnt;
119 
120 loop:	SWAPINIT(long, a, es);
121 	SWAPINIT(int, a, es);
122 	swap_cnt = 0;
123 	if (n < 7) {
124 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
125 			for (pl = pm;
126 			     pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
127 			     pl -= es)
128 				swap(pl, pl - es);
129 		return;
130 	}
131 	pm = (char *)a + (n / 2) * es;
132 	if (n > 7) {
133 		pl = a;
134 		pn = (char *)a + (n - 1) * es;
135 		if (n > 40) {
136 			size_t d = (n / 8) * es;
137 
138 			pl = med3(pl, pl + d, pl + 2 * d, cmp, thunk);
139 			pm = med3(pm - d, pm, pm + d, cmp, thunk);
140 			pn = med3(pn - 2 * d, pn - d, pn, cmp, thunk);
141 		}
142 		pm = med3(pl, pm, pn, cmp, thunk);
143 	}
144 	swap(a, pm);
145 	pa = pb = (char *)a + es;
146 
147 	pc = pd = (char *)a + (n - 1) * es;
148 	for (;;) {
149 		while (pb <= pc && (cmp_result = CMP(thunk, pb, a)) <= 0) {
150 			if (cmp_result == 0) {
151 				swap_cnt = 1;
152 				swap(pa, pb);
153 				pa += es;
154 			}
155 			pb += es;
156 		}
157 		while (pb <= pc && (cmp_result = CMP(thunk, pc, a)) >= 0) {
158 			if (cmp_result == 0) {
159 				swap_cnt = 1;
160 				swap(pc, pd);
161 				pd -= es;
162 			}
163 			pc -= es;
164 		}
165 		if (pb > pc)
166 			break;
167 		swap(pb, pc);
168 		swap_cnt = 1;
169 		pb += es;
170 		pc -= es;
171 	}
172 	if (swap_cnt == 0) {  /* Switch to insertion sort */
173 		for (pm = (char *)a + es; pm < (char *)a + n * es; pm += es)
174 			for (pl = pm;
175 			     pl > (char *)a && CMP(thunk, pl - es, pl) > 0;
176 			     pl -= es)
177 				swap(pl, pl - es);
178 		return;
179 	}
180 
181 	pn = (char *)a + n * es;
182 	d1 = MIN(pa - (char *)a, pb - pa);
183 	vecswap(a, pb - d1, d1);
184 	d1 = MIN(pd - pc, pn - pd - es);
185 	vecswap(pb, pn - d1, d1);
186 
187 	d1 = pb - pa;
188 	d2 = pd - pc;
189 	if (d1 <= d2) {
190 		/* Recurse on left partition, then iterate on right partition */
191 		if (d1 > es) {
192 #ifdef I_AM_QSORT_R
193 			qsort_r(a, d1 / es, es, thunk, cmp);
194 #else
195 			qsort(a, d1 / es, es, cmp);
196 #endif
197 		}
198 		if (d2 > es) {
199 			/* Iterate rather than recurse to save stack space */
200 			/* qsort(pn - d2, d2 / es, es, cmp); */
201 			a = pn - d2;
202 			n = d2 / es;
203 			goto loop;
204 		}
205 	} else {
206 		/* Recurse on right partition, then iterate on left partition */
207 		if (d2 > es) {
208 #ifdef I_AM_QSORT_R
209 			qsort_r(pn - d2, d2 / es, es, thunk, cmp);
210 #else
211 			qsort(pn - d2, d2 / es, es, cmp);
212 #endif
213 		}
214 		if (d1 > es) {
215 			/* Iterate rather than recurse to save stack space */
216 			/* qsort(a, d1 / es, es, cmp); */
217 			n = d1 / es;
218 			goto loop;
219 		}
220 	}
221 }
222