heap.c revision 170223
1241754Suqs/*
2241754Suqs * Copyright (C) 2004-2006  Internet Systems Consortium, Inc. ("ISC")
3241754Suqs * Copyright (C) 1997-2001  Internet Software Consortium.
4241754Suqs *
5241754Suqs * Permission to use, copy, modify, and distribute this software for any
6241754Suqs * purpose with or without fee is hereby granted, provided that the above
7241754Suqs * copyright notice and this permission notice appear in all copies.
8241754Suqs *
9241754Suqs * THE SOFTWARE IS PROVIDED "AS IS" AND ISC DISCLAIMS ALL WARRANTIES WITH
10241754Suqs * REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY
11241754Suqs * AND FITNESS.  IN NO EVENT SHALL ISC BE LIABLE FOR ANY SPECIAL, DIRECT,
12241754Suqs * INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
13241754Suqs * LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE
14241754Suqs * OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
15241754Suqs * PERFORMANCE OF THIS SOFTWARE.
16241754Suqs */
17241754Suqs
18241754Suqs/* $Id: heap.c,v 1.30.18.3 2006/04/17 18:27:33 explorer Exp $ */
19241754Suqs
20241754Suqs/*! \file
21241754Suqs * Heap implementation of priority queues adapted from the following:
22241754Suqs *
23 *	\li "Introduction to Algorithms," Cormen, Leiserson, and Rivest,
24 *	MIT Press / McGraw Hill, 1990, ISBN 0-262-03141-8, chapter 7.
25 *
26 *	\li "Algorithms," Second Edition, Sedgewick, Addison-Wesley, 1988,
27 *	ISBN 0-201-06673-4, chapter 11.
28 */
29
30#include <config.h>
31
32#include <isc/heap.h>
33#include <isc/magic.h>
34#include <isc/mem.h>
35#include <isc/string.h>		/* Required for memcpy. */
36#include <isc/util.h>
37
38/*@{*/
39/*%
40 * Note: to make heap_parent and heap_left easy to compute, the first
41 * element of the heap array is not used; i.e. heap subscripts are 1-based,
42 * not 0-based.  The parent is index/2, and the left-child is index*2.
43 * The right child is index*2+1.
44 */
45#define heap_parent(i)			((i) >> 1)
46#define heap_left(i)			((i) << 1)
47/*@}*/
48
49#define SIZE_INCREMENT			1024
50
51#define HEAP_MAGIC			ISC_MAGIC('H', 'E', 'A', 'P')
52#define VALID_HEAP(h)			ISC_MAGIC_VALID(h, HEAP_MAGIC)
53
54/*%
55 * When the heap is in a consistent state, the following invariant
56 * holds true: for every element i > 1, heap_parent(i) has a priority
57 * higher than or equal to that of i.
58 */
59#define HEAPCONDITION(i) ((i) == 1 || \
60			  ! heap->compare(heap->array[(i)], \
61					  heap->array[heap_parent(i)]))
62
63/*% ISC heap structure. */
64struct isc_heap {
65	unsigned int			magic;
66	isc_mem_t *			mctx;
67	unsigned int			size;
68	unsigned int			size_increment;
69	unsigned int			last;
70	void				**array;
71	isc_heapcompare_t		compare;
72	isc_heapindex_t			index;
73};
74
75isc_result_t
76isc_heap_create(isc_mem_t *mctx, isc_heapcompare_t compare,
77		isc_heapindex_t index, unsigned int size_increment,
78		isc_heap_t **heapp)
79{
80	isc_heap_t *heap;
81
82	REQUIRE(heapp != NULL && *heapp == NULL);
83	REQUIRE(compare != NULL);
84
85	heap = isc_mem_get(mctx, sizeof(*heap));
86	if (heap == NULL)
87		return (ISC_R_NOMEMORY);
88	heap->magic = HEAP_MAGIC;
89	heap->mctx = mctx;
90	heap->size = 0;
91	if (size_increment == 0)
92		heap->size_increment = SIZE_INCREMENT;
93	else
94		heap->size_increment = size_increment;
95	heap->last = 0;
96	heap->array = NULL;
97	heap->compare = compare;
98	heap->index = index;
99
100	*heapp = heap;
101
102	return (ISC_R_SUCCESS);
103}
104
105void
106isc_heap_destroy(isc_heap_t **heapp) {
107	isc_heap_t *heap;
108
109	REQUIRE(heapp != NULL);
110	heap = *heapp;
111	REQUIRE(VALID_HEAP(heap));
112
113	if (heap->array != NULL)
114		isc_mem_put(heap->mctx, heap->array,
115			    heap->size * sizeof(void *));
116	heap->magic = 0;
117	isc_mem_put(heap->mctx, heap, sizeof(*heap));
118
119	*heapp = NULL;
120}
121
122static isc_boolean_t
123resize(isc_heap_t *heap) {
124	void **new_array;
125	size_t new_size;
126
127	REQUIRE(VALID_HEAP(heap));
128
129	new_size = heap->size + heap->size_increment;
130	new_array = isc_mem_get(heap->mctx, new_size * sizeof(void *));
131	if (new_array == NULL)
132		return (ISC_FALSE);
133	if (heap->array != NULL) {
134		memcpy(new_array, heap->array, heap->size * sizeof(void *));
135		isc_mem_put(heap->mctx, heap->array,
136			    heap->size * sizeof(void *));
137	}
138	heap->size = new_size;
139	heap->array = new_array;
140
141	return (ISC_TRUE);
142}
143
144static void
145float_up(isc_heap_t *heap, unsigned int i, void *elt) {
146	unsigned int p;
147
148	for (p = heap_parent(i) ;
149	     i > 1 && heap->compare(elt, heap->array[p]) ;
150	     i = p, p = heap_parent(i)) {
151		heap->array[i] = heap->array[p];
152		if (heap->index != NULL)
153			(heap->index)(heap->array[i], i);
154	}
155	heap->array[i] = elt;
156	if (heap->index != NULL)
157		(heap->index)(heap->array[i], i);
158
159	INSIST(HEAPCONDITION(i));
160}
161
162static void
163sink_down(isc_heap_t *heap, unsigned int i, void *elt) {
164	unsigned int j, size, half_size;
165	size = heap->last;
166	half_size = size / 2;
167	while (i <= half_size) {
168		/* Find the smallest of the (at most) two children. */
169		j = heap_left(i);
170		if (j < size && heap->compare(heap->array[j+1],
171					      heap->array[j]))
172			j++;
173		if (heap->compare(elt, heap->array[j]))
174			break;
175		heap->array[i] = heap->array[j];
176		if (heap->index != NULL)
177			(heap->index)(heap->array[i], i);
178		i = j;
179	}
180	heap->array[i] = elt;
181	if (heap->index != NULL)
182		(heap->index)(heap->array[i], i);
183
184	INSIST(HEAPCONDITION(i));
185}
186
187isc_result_t
188isc_heap_insert(isc_heap_t *heap, void *elt) {
189	unsigned int i;
190
191	REQUIRE(VALID_HEAP(heap));
192
193	i = ++heap->last;
194	if (heap->last >= heap->size && !resize(heap))
195		return (ISC_R_NOMEMORY);
196
197	float_up(heap, i, elt);
198
199	return (ISC_R_SUCCESS);
200}
201
202void
203isc_heap_delete(isc_heap_t *heap, unsigned int index) {
204	void *elt;
205	isc_boolean_t less;
206
207	REQUIRE(VALID_HEAP(heap));
208	REQUIRE(index >= 1 && index <= heap->last);
209
210	if (index == heap->last) {
211		heap->last--;
212	} else {
213		elt = heap->array[heap->last--];
214		less = heap->compare(elt, heap->array[index]);
215		heap->array[index] = elt;
216		if (less)
217			float_up(heap, index, heap->array[index]);
218		else
219			sink_down(heap, index, heap->array[index]);
220	}
221}
222
223void
224isc_heap_increased(isc_heap_t *heap, unsigned int index) {
225	REQUIRE(VALID_HEAP(heap));
226	REQUIRE(index >= 1 && index <= heap->last);
227
228	float_up(heap, index, heap->array[index]);
229}
230
231void
232isc_heap_decreased(isc_heap_t *heap, unsigned int index) {
233	REQUIRE(VALID_HEAP(heap));
234	REQUIRE(index >= 1 && index <= heap->last);
235
236	sink_down(heap, index, heap->array[index]);
237}
238
239void *
240isc_heap_element(isc_heap_t *heap, unsigned int index) {
241	REQUIRE(VALID_HEAP(heap));
242	REQUIRE(index >= 1 && index <= heap->last);
243
244	return (heap->array[index]);
245}
246
247void
248isc_heap_foreach(isc_heap_t *heap, isc_heapaction_t action, void *uap) {
249	unsigned int i;
250
251	REQUIRE(VALID_HEAP(heap));
252	REQUIRE(action != NULL);
253
254	for (i = 1 ; i <= heap->last ; i++)
255		(action)(heap->array[i], uap);
256}
257