diff options
author | Theo de Raadt <deraadt@cvs.openbsd.org> | 1995-10-18 08:53:40 +0000 |
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committer | Theo de Raadt <deraadt@cvs.openbsd.org> | 1995-10-18 08:53:40 +0000 |
commit | d6583bb2a13f329cf0332ef2570eb8bb8fc0e39c (patch) | |
tree | ece253b876159b39c620e62b6c9b1174642e070e /lib/libc/stdlib/heapsort.c |
initial import of NetBSD tree
Diffstat (limited to 'lib/libc/stdlib/heapsort.c')
-rw-r--r-- | lib/libc/stdlib/heapsort.c | 184 |
1 files changed, 184 insertions, 0 deletions
diff --git a/lib/libc/stdlib/heapsort.c b/lib/libc/stdlib/heapsort.c new file mode 100644 index 00000000000..3be56ba1d64 --- /dev/null +++ b/lib/libc/stdlib/heapsort.c @@ -0,0 +1,184 @@ +/*- + * Copyright (c) 1991, 1993 + * The Regents of the University of California. All rights reserved. + * + * This code is derived from software contributed to Berkeley by + * Ronnie Kon at Mindcraft Inc., Kevin Lew and Elmer Yglesias. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. All advertising materials mentioning features or use of this software + * must display the following acknowledgement: + * This product includes software developed by the University of + * California, Berkeley and its contributors. + * 4. Neither the name of the University nor the names of its contributors + * may be used to endorse or promote products derived from this software + * without specific prior written permission. + * + * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + */ + +#if defined(LIBC_SCCS) && !defined(lint) +/*static char sccsid[] = "from: @(#)heapsort.c 8.1 (Berkeley) 6/4/93";*/ +static char *rcsid = "$Id: heapsort.c,v 1.1 1995/10/18 08:42:17 deraadt Exp $"; +#endif /* LIBC_SCCS and not lint */ + +#include <sys/types.h> +#include <errno.h> +#include <stdlib.h> + +/* + * Swap two areas of size number of bytes. Although qsort(3) permits random + * blocks of memory to be sorted, sorting pointers is almost certainly the + * common case (and, were it not, could easily be made so). Regardless, it + * isn't worth optimizing; the SWAP's get sped up by the cache, and pointer + * arithmetic gets lost in the time required for comparison function calls. + */ +#define SWAP(a, b, count, size, tmp) { \ + count = size; \ + do { \ + tmp = *a; \ + *a++ = *b; \ + *b++ = tmp; \ + } while (--count); \ +} + +/* Copy one block of size size to another. */ +#define COPY(a, b, count, size, tmp1, tmp2) { \ + count = size; \ + tmp1 = a; \ + tmp2 = b; \ + do { \ + *tmp1++ = *tmp2++; \ + } while (--count); \ +} + +/* + * Build the list into a heap, where a heap is defined such that for + * the records K1 ... KN, Kj/2 >= Kj for 1 <= j/2 <= j <= N. + * + * There two cases. If j == nmemb, select largest of Ki and Kj. If + * j < nmemb, select largest of Ki, Kj and Kj+1. + */ +#define CREATE(initval, nmemb, par_i, child_i, par, child, size, count, tmp) { \ + for (par_i = initval; (child_i = par_i * 2) <= nmemb; \ + par_i = child_i) { \ + child = base + child_i * size; \ + if (child_i < nmemb && compar(child, child + size) < 0) { \ + child += size; \ + ++child_i; \ + } \ + par = base + par_i * size; \ + if (compar(child, par) <= 0) \ + break; \ + SWAP(par, child, count, size, tmp); \ + } \ +} + +/* + * Select the top of the heap and 'heapify'. Since by far the most expensive + * action is the call to the compar function, a considerable optimization + * in the average case can be achieved due to the fact that k, the displaced + * elememt, is ususally quite small, so it would be preferable to first + * heapify, always maintaining the invariant that the larger child is copied + * over its parent's record. + * + * Then, starting from the *bottom* of the heap, finding k's correct place, + * again maintianing the invariant. As a result of the invariant no element + * is 'lost' when k is assigned its correct place in the heap. + * + * The time savings from this optimization are on the order of 15-20% for the + * average case. See Knuth, Vol. 3, page 158, problem 18. + * + * XXX Don't break the #define SELECT line, below. Reiser cpp gets upset. + */ +#define SELECT(par_i, child_i, nmemb, par, child, size, k, count, tmp1, tmp2) { \ + for (par_i = 1; (child_i = par_i * 2) <= nmemb; par_i = child_i) { \ + child = base + child_i * size; \ + if (child_i < nmemb && compar(child, child + size) < 0) { \ + child += size; \ + ++child_i; \ + } \ + par = base + par_i * size; \ + COPY(par, child, count, size, tmp1, tmp2); \ + } \ + for (;;) { \ + child_i = par_i; \ + par_i = child_i / 2; \ + child = base + child_i * size; \ + par = base + par_i * size; \ + if (child_i == 1 || compar(k, par) < 0) { \ + COPY(child, k, count, size, tmp1, tmp2); \ + break; \ + } \ + COPY(child, par, count, size, tmp1, tmp2); \ + } \ +} + +/* + * Heapsort -- Knuth, Vol. 3, page 145. Runs in O (N lg N), both average + * and worst. While heapsort is faster than the worst case of quicksort, + * the BSD quicksort does median selection so that the chance of finding + * a data set that will trigger the worst case is nonexistent. Heapsort's + * only advantage over quicksort is that it requires little additional memory. + */ +int +heapsort(vbase, nmemb, size, compar) + void *vbase; + size_t nmemb, size; + int (*compar) __P((const void *, const void *)); +{ + register int cnt, i, j, l; + register char tmp, *tmp1, *tmp2; + char *base, *k, *p, *t; + + if (nmemb <= 1) + return (0); + + if (!size) { + errno = EINVAL; + return (-1); + } + + if ((k = malloc(size)) == NULL) + return (-1); + + /* + * Items are numbered from 1 to nmemb, so offset from size bytes + * below the starting address. + */ + base = (char *)vbase - size; + + for (l = nmemb / 2 + 1; --l;) + CREATE(l, nmemb, i, j, t, p, size, cnt, tmp); + + /* + * For each element of the heap, save the largest element into its + * final slot, save the displaced element (k), then recreate the + * heap. + */ + while (nmemb > 1) { + COPY(k, base + nmemb * size, cnt, size, tmp1, tmp2); + COPY(base + nmemb * size, base + size, cnt, size, tmp1, tmp2); + --nmemb; + SELECT(i, j, nmemb, t, p, size, k, cnt, tmp1, tmp2); + } + free(k); + return (0); +} |