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DB
1/* A Fibonacci heap datatype.
2 Copyright 1998, 1999, 2000, 2001 Free Software Foundation, Inc.
3 Contributed by Daniel Berlin (dan@cgsoftware.com).
4
5This file is part of GNU CC.
6
7GNU CC is free software; you can redistribute it and/or modify it
8under the terms of the GNU General Public License as published by
9the Free Software Foundation; either version 2, or (at your option)
10any later version.
11
12GNU CC is distributed in the hope that it will be useful, but
13WITHOUT ANY WARRANTY; without even the implied warranty of
14MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
15General Public License for more details.
16
17You should have received a copy of the GNU General Public License
18along with GNU CC; see the file COPYING. If not, write to
19the Free Software Foundation, 59 Temple Place - Suite 330,
20Boston, MA 02111-1307, USA. */
21
f379eac3
RH
22#ifdef HAVE_CONFIG_H
23#include "config.h"
24#endif
25#ifdef HAVE_LIMITS_H
8c23e0a4 26#include <limits.h>
f379eac3
RH
27#endif
28#ifdef HAVE_STDLIB_H
8c23e0a4 29#include <stdlib.h>
f379eac3
RH
30#endif
31#ifdef HAVE_STRING_H
32#include <string.h>
33#endif
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DB
34#include "libiberty.h"
35#include "fibheap.h"
36
37
f379eac3
RH
38#define FIBHEAPKEY_MIN LONG_MIN
39
6da879de
GDR
40static void fibheap_ins_root (fibheap_t, fibnode_t);
41static void fibheap_rem_root (fibheap_t, fibnode_t);
42static void fibheap_consolidate (fibheap_t);
43static void fibheap_link (fibheap_t, fibnode_t, fibnode_t);
44static void fibheap_cut (fibheap_t, fibnode_t, fibnode_t);
45static void fibheap_cascading_cut (fibheap_t, fibnode_t);
46static fibnode_t fibheap_extr_min_node (fibheap_t);
47static int fibheap_compare (fibheap_t, fibnode_t, fibnode_t);
48static int fibheap_comp_data (fibheap_t, fibheapkey_t, void *, fibnode_t);
49static fibnode_t fibnode_new (void);
50static void fibnode_insert_after (fibnode_t, fibnode_t);
8c23e0a4 51#define fibnode_insert_before(a, b) fibnode_insert_after (a->left, b)
6da879de 52static fibnode_t fibnode_remove (fibnode_t);
8c23e0a4 53
f379eac3 54\f
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DB
55/* Create a new fibonacci heap. */
56fibheap_t
6da879de 57fibheap_new (void)
8c23e0a4 58{
ffb9435b 59 return (fibheap_t) xcalloc (1, sizeof (struct fibheap));
f379eac3
RH
60}
61
62/* Create a new fibonacci heap node. */
ffb9435b 63static fibnode_t
6da879de 64fibnode_new (void)
f379eac3 65{
ffb9435b 66 fibnode_t node;
f379eac3 67
f08b7eee 68 node = (fibnode_t) xcalloc (1, sizeof *node);
ffb9435b
MK
69 node->left = node;
70 node->right = node;
f379eac3 71
ffb9435b 72 return node;
f379eac3
RH
73}
74
75static inline int
6da879de 76fibheap_compare (fibheap_t heap ATTRIBUTE_UNUSED, fibnode_t a, fibnode_t b)
f379eac3
RH
77{
78 if (a->key < b->key)
79 return -1;
80 if (a->key > b->key)
81 return 1;
82 return 0;
83}
84
85static inline int
6da879de 86fibheap_comp_data (fibheap_t heap, fibheapkey_t key, void *data, fibnode_t b)
8c23e0a4 87{
f379eac3
RH
88 struct fibnode a;
89
90 a.key = key;
91 a.data = data;
92
93 return fibheap_compare (heap, &a, b);
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DB
94}
95
96/* Insert DATA, with priority KEY, into HEAP. */
97fibnode_t
6da879de 98fibheap_insert (fibheap_t heap, fibheapkey_t key, void *data)
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99{
100 fibnode_t node;
f379eac3 101
ffb9435b
MK
102 /* Create the new node. */
103 node = fibnode_new ();
f379eac3 104
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105 /* Set the node's data. */
106 node->data = data;
107 node->key = key;
108
109 /* Insert it into the root list. */
110 fibheap_ins_root (heap, node);
111
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112 /* If their was no minimum, or this key is less than the min,
113 it's the new min. */
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DB
114 if (heap->min == NULL || node->key < heap->min->key)
115 heap->min = node;
116
117 heap->nodes++;
118
119 return node;
120}
121
122/* Return the data of the minimum node (if we know it). */
123void *
6da879de 124fibheap_min (fibheap_t heap)
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DB
125{
126 /* If there is no min, we can't easily return it. */
127 if (heap->min == NULL)
128 return NULL;
129 return heap->min->data;
130}
131
132/* Return the key of the minimum node (if we know it). */
133fibheapkey_t
6da879de 134fibheap_min_key (fibheap_t heap)
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DB
135{
136 /* If there is no min, we can't easily return it. */
137 if (heap->min == NULL)
138 return 0;
139 return heap->min->key;
140}
141
142/* Union HEAPA and HEAPB into a new heap. */
143fibheap_t
6da879de 144fibheap_union (fibheap_t heapa, fibheap_t heapb)
8c23e0a4 145{
f379eac3 146 fibnode_t a_root, b_root, temp;
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DB
147
148 /* If one of the heaps is empty, the union is just the other heap. */
f379eac3 149 if ((a_root = heapa->root) == NULL)
8c23e0a4 150 {
f379eac3
RH
151 free (heapa);
152 return heapb;
153 }
154 if ((b_root = heapb->root) == NULL)
155 {
156 free (heapb);
157 return heapa;
8c23e0a4 158 }
f379eac3 159
8c23e0a4 160 /* Merge them to the next nodes on the opposite chain. */
f379eac3
RH
161 a_root->left->right = b_root;
162 b_root->left->right = a_root;
163 temp = a_root->left;
164 a_root->left = b_root->left;
165 b_root->left = temp;
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DB
166 heapa->nodes += heapb->nodes;
167
168 /* And set the new minimum, if it's changed. */
169 if (fibheap_compare (heapa, heapb->min, heapa->min) < 0)
170 heapa->min = heapb->min;
171
172 free (heapb);
173 return heapa;
174}
175
176/* Extract the data of the minimum node from HEAP. */
177void *
6da879de 178fibheap_extract_min (fibheap_t heap)
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DB
179{
180 fibnode_t z;
f379eac3 181 void *ret = NULL;
8c23e0a4 182
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DB
183 /* If we don't have a min set, it means we have no nodes. */
184 if (heap->min != NULL)
185 {
186 /* Otherwise, extract the min node, free the node, and return the
187 node's data. */
188 z = fibheap_extr_min_node (heap);
189 ret = z->data;
190 free (z);
191 }
192
193 return ret;
194}
195
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196/* Replace both the KEY and the DATA associated with NODE. */
197void *
6da879de
GDR
198fibheap_replace_key_data (fibheap_t heap, fibnode_t node,
199 fibheapkey_t key, void *data)
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DB
200{
201 void *odata;
13f7d3a1 202 fibheapkey_t okey;
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DB
203 fibnode_t y;
204
205 /* If we wanted to, we could actually do a real increase by redeleting and
206 inserting. However, this would require O (log n) time. So just bail out
207 for now. */
208 if (fibheap_comp_data (heap, key, data, node) > 0)
209 return NULL;
210
211 odata = node->data;
212 okey = node->key;
213 node->data = data;
214 node->key = key;
215 y = node->parent;
216
217 if (okey == key)
218 return odata;
219
220 /* These two compares are specifically <= 0 to make sure that in the case
221 of equality, a node we replaced the data on, becomes the new min. This
222 is needed so that delete's call to extractmin gets the right node. */
223 if (y != NULL && fibheap_compare (heap, node, y) <= 0)
224 {
225 fibheap_cut (heap, node, y);
226 fibheap_cascading_cut (heap, y);
227 }
228
229 if (fibheap_compare (heap, node, heap->min) <= 0)
230 heap->min = node;
231
232 return odata;
233}
234
f379eac3
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235/* Replace the DATA associated with NODE. */
236void *
6da879de 237fibheap_replace_data (fibheap_t heap, fibnode_t node, void *data)
f379eac3
RH
238{
239 return fibheap_replace_key_data (heap, node, node->key, data);
240}
241
242/* Replace the KEY associated with NODE. */
243fibheapkey_t
6da879de 244fibheap_replace_key (fibheap_t heap, fibnode_t node, fibheapkey_t key)
f379eac3
RH
245{
246 int okey = node->key;
247 fibheap_replace_key_data (heap, node, key, node->data);
248 return okey;
249}
250
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251/* Delete NODE from HEAP. */
252void *
6da879de 253fibheap_delete_node (fibheap_t heap, fibnode_t node)
8c23e0a4 254{
f379eac3
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255 void *ret = node->data;
256
8c23e0a4 257 /* To perform delete, we just make it the min key, and extract. */
f379eac3 258 fibheap_replace_key (heap, node, FIBHEAPKEY_MIN);
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DB
259 fibheap_extract_min (heap);
260
f379eac3 261 return ret;
8c23e0a4
DB
262}
263
264/* Delete HEAP. */
265void
6da879de 266fibheap_delete (fibheap_t heap)
8c23e0a4
DB
267{
268 while (heap->min != NULL)
269 free (fibheap_extr_min_node (heap));
270
271 free (heap);
272}
273
274/* Determine if HEAP is empty. */
275int
6da879de 276fibheap_empty (fibheap_t heap)
8c23e0a4
DB
277{
278 return heap->nodes == 0;
279}
280
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DB
281/* Extract the minimum node of the heap. */
282static fibnode_t
6da879de 283fibheap_extr_min_node (fibheap_t heap)
8c23e0a4 284{
f379eac3 285 fibnode_t ret = heap->min;
8c23e0a4
DB
286 fibnode_t x, y, orig;
287
8c23e0a4
DB
288 /* Attach the child list of the minimum node to the root list of the heap.
289 If there is no child list, we don't do squat. */
f379eac3 290 for (x = ret->child, orig = NULL; x != orig && x != NULL; x = y)
8c23e0a4
DB
291 {
292 if (orig == NULL)
293 orig = x;
294 y = x->right;
295 x->parent = NULL;
296 fibheap_ins_root (heap, x);
8c23e0a4 297 }
f379eac3 298
8c23e0a4
DB
299 /* Remove the old root. */
300 fibheap_rem_root (heap, ret);
301 heap->nodes--;
f379eac3 302
8c23e0a4
DB
303 /* If we are left with no nodes, then the min is NULL. */
304 if (heap->nodes == 0)
305 heap->min = NULL;
306 else
307 {
308 /* Otherwise, consolidate to find new minimum, as well as do the reorg
309 work that needs to be done. */
310 heap->min = ret->right;
311 fibheap_consolidate (heap);
312 }
313
314 return ret;
315}
316
317/* Insert NODE into the root list of HEAP. */
318static void
6da879de 319fibheap_ins_root (fibheap_t heap, fibnode_t node)
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DB
320{
321 /* If the heap is currently empty, the new node becomes the singleton
322 circular root list. */
323 if (heap->root == NULL)
324 {
325 heap->root = node;
326 node->left = node;
327 node->right = node;
328 return;
329 }
f379eac3
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330
331 /* Otherwise, insert it in the circular root list between the root
332 and it's right node. */
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333 fibnode_insert_after (heap->root, node);
334}
335
336/* Remove NODE from the rootlist of HEAP. */
337static void
6da879de 338fibheap_rem_root (fibheap_t heap, fibnode_t node)
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DB
339{
340 if (node->left == node)
341 heap->root = NULL;
342 else
343 heap->root = fibnode_remove (node);
344}
345
346/* Consolidate the heap. */
347static void
6da879de 348fibheap_consolidate (fibheap_t heap)
8c23e0a4
DB
349{
350 fibnode_t a[1 + 8 * sizeof (long)];
351 fibnode_t w;
352 fibnode_t y;
353 fibnode_t x;
354 int i;
355 int d;
356 int D;
357
358 D = 1 + 8 * sizeof (long);
359
360 memset (a, 0, sizeof (fibnode_t) * D);
361
362 while ((w = heap->root) != NULL)
363 {
364 x = w;
365 fibheap_rem_root (heap, w);
366 d = x->degree;
367 while (a[d] != NULL)
368 {
369 y = a[d];
370 if (fibheap_compare (heap, x, y) > 0)
371 {
372 fibnode_t temp;
373 temp = x;
374 x = y;
375 y = temp;
376 }
377 fibheap_link (heap, y, x);
378 a[d] = NULL;
379 d++;
380 }
381 a[d] = x;
382 }
383 heap->min = NULL;
384 for (i = 0; i < D; i++)
385 if (a[i] != NULL)
386 {
387 fibheap_ins_root (heap, a[i]);
388 if (heap->min == NULL || fibheap_compare (heap, a[i], heap->min) < 0)
389 heap->min = a[i];
390 }
391}
392
393/* Make NODE a child of PARENT. */
394static void
6da879de
GDR
395fibheap_link (fibheap_t heap ATTRIBUTE_UNUSED,
396 fibnode_t node, fibnode_t parent)
8c23e0a4
DB
397{
398 if (parent->child == NULL)
399 parent->child = node;
400 else
401 fibnode_insert_before (parent->child, node);
402 node->parent = parent;
403 parent->degree++;
404 node->mark = 0;
405}
406
407/* Remove NODE from PARENT's child list. */
408static void
6da879de 409fibheap_cut (fibheap_t heap, fibnode_t node, fibnode_t parent)
8c23e0a4
DB
410{
411 fibnode_remove (node);
412 parent->degree--;
413 fibheap_ins_root (heap, node);
414 node->parent = NULL;
415 node->mark = 0;
416}
417
418static void
6da879de 419fibheap_cascading_cut (fibheap_t heap, fibnode_t y)
8c23e0a4
DB
420{
421 fibnode_t z;
422
423 while ((z = y->parent) != NULL)
424 {
425 if (y->mark == 0)
426 {
427 y->mark = 1;
428 return;
429 }
430 else
431 {
432 fibheap_cut (heap, y, z);
433 y = z;
434 }
435 }
436}
437
8c23e0a4 438static void
6da879de 439fibnode_insert_after (fibnode_t a, fibnode_t b)
8c23e0a4
DB
440{
441 if (a == a->right)
442 {
443 a->right = b;
444 a->left = b;
445 b->right = a;
446 b->left = a;
447 }
448 else
449 {
450 b->right = a->right;
451 a->right->left = b;
452 a->right = b;
453 b->left = a;
454 }
455}
456
8c23e0a4 457static fibnode_t
6da879de 458fibnode_remove (fibnode_t node)
8c23e0a4
DB
459{
460 fibnode_t ret;
461
462 if (node == node->left)
463 ret = NULL;
464 else
465 ret = node->left;
466
467 if (node->parent != NULL && node->parent->child == node)
468 node->parent->child = ret;
469
470 node->right->left = node->left;
471 node->left->right = node->right;
472
473 node->parent = NULL;
474 node->left = node;
475 node->right = node;
476
477 return ret;
478}