summaryrefslogtreecommitdiff
path: root/src/lib/libc/stdlib/heapsort.c
diff options
context:
space:
mode:
Diffstat (limited to 'src/lib/libc/stdlib/heapsort.c')
-rw-r--r--src/lib/libc/stdlib/heapsort.c173
1 files changed, 173 insertions, 0 deletions
diff --git a/src/lib/libc/stdlib/heapsort.c b/src/lib/libc/stdlib/heapsort.c
new file mode 100644
index 0000000000..e6fb61ba2f
--- /dev/null
+++ b/src/lib/libc/stdlib/heapsort.c
@@ -0,0 +1,173 @@
1/*-
2 * Copyright (c) 1991, 1993
3 * The Regents of the University of California. All rights reserved.
4 *
5 * This code is derived from software contributed to Berkeley by
6 * Ronnie Kon at Mindcraft Inc., Kevin Lew and Elmer Yglesias.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 * 1. Redistributions of source code must retain the above copyright
12 * notice, this list of conditions and the following disclaimer.
13 * 2. Redistributions in binary form must reproduce the above copyright
14 * notice, this list of conditions and the following disclaimer in the
15 * documentation and/or other materials provided with the distribution.
16 * 3. Neither the name of the University nor the names of its contributors
17 * may be used to endorse or promote products derived from this software
18 * without specific prior written permission.
19 *
20 * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
21 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
22 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
23 * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
24 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
25 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
26 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
27 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
28 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
29 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
30 * SUCH DAMAGE.
31 */
32
33#include <sys/types.h>
34#include <errno.h>
35#include <stdlib.h>
36
37/*
38 * Swap two areas of size number of bytes. Although qsort(3) permits random
39 * blocks of memory to be sorted, sorting pointers is almost certainly the
40 * common case (and, were it not, could easily be made so). Regardless, it
41 * isn't worth optimizing; the SWAP's get sped up by the cache, and pointer
42 * arithmetic gets lost in the time required for comparison function calls.
43 */
44#define SWAP(a, b, count, size, tmp) { \
45 count = size; \
46 do { \
47 tmp = *a; \
48 *a++ = *b; \
49 *b++ = tmp; \
50 } while (--count); \
51}
52
53/* Copy one block of size size to another. */
54#define COPY(a, b, count, size, tmp1, tmp2) { \
55 count = size; \
56 tmp1 = a; \
57 tmp2 = b; \
58 do { \
59 *tmp1++ = *tmp2++; \
60 } while (--count); \
61}
62
63/*
64 * Build the list into a heap, where a heap is defined such that for
65 * the records K1 ... KN, Kj/2 >= Kj for 1 <= j/2 <= j <= N.
66 *
67 * There are two cases. If j == nmemb, select largest of Ki and Kj. If
68 * j < nmemb, select largest of Ki, Kj and Kj+1.
69 */
70#define CREATE(initval, nmemb, par_i, child_i, par, child, size, count, tmp) { \
71 for (par_i = initval; (child_i = par_i * 2) <= nmemb; \
72 par_i = child_i) { \
73 child = base + child_i * size; \
74 if (child_i < nmemb && compar(child, child + size) < 0) { \
75 child += size; \
76 ++child_i; \
77 } \
78 par = base + par_i * size; \
79 if (compar(child, par) <= 0) \
80 break; \
81 SWAP(par, child, count, size, tmp); \
82 } \
83}
84
85/*
86 * Select the top of the heap and 'heapify'. Since by far the most expensive
87 * action is the call to the compar function, a considerable optimization
88 * in the average case can be achieved due to the fact that k, the displaced
89 * element, is usually quite small, so it would be preferable to first
90 * heapify, always maintaining the invariant that the larger child is copied
91 * over its parent's record.
92 *
93 * Then, starting from the *bottom* of the heap, finding k's correct place,
94 * again maintaining the invariant. As a result of the invariant no element
95 * is 'lost' when k is assigned its correct place in the heap.
96 *
97 * The time savings from this optimization are on the order of 15-20% for the
98 * average case. See Knuth, Vol. 3, page 158, problem 18.
99 *
100 * XXX Don't break the #define SELECT line, below. Reiser cpp gets upset.
101 */
102#define SELECT(par_i, child_i, nmemb, par, child, size, k, count, tmp1, tmp2) { \
103 for (par_i = 1; (child_i = par_i * 2) <= nmemb; par_i = child_i) { \
104 child = base + child_i * size; \
105 if (child_i < nmemb && compar(child, child + size) < 0) { \
106 child += size; \
107 ++child_i; \
108 } \
109 par = base + par_i * size; \
110 COPY(par, child, count, size, tmp1, tmp2); \
111 } \
112 for (;;) { \
113 child_i = par_i; \
114 par_i = child_i / 2; \
115 child = base + child_i * size; \
116 par = base + par_i * size; \
117 if (child_i == 1 || compar(k, par) < 0) { \
118 COPY(child, k, count, size, tmp1, tmp2); \
119 break; \
120 } \
121 COPY(child, par, count, size, tmp1, tmp2); \
122 } \
123}
124
125/*
126 * Heapsort -- Knuth, Vol. 3, page 145. Runs in O (N lg N), both average
127 * and worst. While heapsort is faster than the worst case of quicksort,
128 * the BSD quicksort does median selection so that the chance of finding
129 * a data set that will trigger the worst case is nonexistent. Heapsort's
130 * only advantage over quicksort is that it requires little additional memory.
131 */
132int
133heapsort(void *vbase, size_t nmemb, size_t size,
134 int (*compar)(const void *, const void *))
135{
136 int cnt, i, j, l;
137 char tmp, *tmp1, *tmp2;
138 char *base, *k, *p, *t;
139
140 if (nmemb <= 1)
141 return (0);
142
143 if (!size) {
144 errno = EINVAL;
145 return (-1);
146 }
147
148 if ((k = malloc(size)) == NULL)
149 return (-1);
150
151 /*
152 * Items are numbered from 1 to nmemb, so offset from size bytes
153 * below the starting address.
154 */
155 base = (char *)vbase - size;
156
157 for (l = nmemb / 2 + 1; --l;)
158 CREATE(l, nmemb, i, j, t, p, size, cnt, tmp);
159
160 /*
161 * For each element of the heap, save the largest element into its
162 * final slot, save the displaced element (k), then recreate the
163 * heap.
164 */
165 while (nmemb > 1) {
166 COPY(k, base + nmemb * size, cnt, size, tmp1, tmp2);
167 COPY(base + nmemb * size, base + size, cnt, size, tmp1, tmp2);
168 --nmemb;
169 SELECT(i, j, nmemb, t, p, size, k, cnt, tmp1, tmp2);
170 }
171 free(k);
172 return (0);
173}