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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
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22#ifdef HAVE_CONFIG_H
23#include "config.h"
24#endif
25#ifdef HAVE_LIMITS_H
8c23e0a4 26#include <limits.h>
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27#endif
28#ifdef HAVE_STDLIB_H
8c23e0a4 29#include <stdlib.h>
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30#endif
31#ifdef HAVE_STRING_H
32#include <string.h>
33#endif
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34#include "libiberty.h"
35#include "fibheap.h"
36
37
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38#define FIBHEAPKEY_MIN LONG_MIN
39
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40static void fibheap_ins_root PARAMS ((fibheap_t, fibnode_t));
41static void fibheap_rem_root PARAMS ((fibheap_t, fibnode_t));
42static void fibheap_consolidate PARAMS ((fibheap_t));
43static void fibheap_link PARAMS ((fibheap_t, fibnode_t, fibnode_t));
44static void fibheap_cut PARAMS ((fibheap_t, fibnode_t, fibnode_t));
45static void fibheap_cascading_cut PARAMS ((fibheap_t, fibnode_t));
46static fibnode_t fibheap_extr_min_node PARAMS ((fibheap_t));
47static int fibheap_compare PARAMS ((fibheap_t, fibnode_t, fibnode_t));
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48static int fibheap_comp_data PARAMS ((fibheap_t, fibheapkey_t, void *,
49 fibnode_t));
8c23e0a4 50static fibnode_t fibnode_new PARAMS ((void));
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51static void fibnode_insert_after PARAMS ((fibnode_t, fibnode_t));
52#define fibnode_insert_before(a, b) fibnode_insert_after (a->left, b)
53static fibnode_t fibnode_remove PARAMS ((fibnode_t));
54
f379eac3 55\f
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56/* Create a new fibonacci heap. */
57fibheap_t
58fibheap_new ()
59{
ffb9435b 60 return (fibheap_t) xcalloc (1, sizeof (struct fibheap));
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61}
62
63/* Create a new fibonacci heap node. */
ffb9435b 64static fibnode_t
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65fibnode_new ()
66{
ffb9435b 67 fibnode_t node;
f379eac3 68
f08b7eee 69 node = (fibnode_t) xcalloc (1, sizeof *node);
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70 node->left = node;
71 node->right = node;
f379eac3 72
ffb9435b 73 return node;
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74}
75
76static inline int
77fibheap_compare (heap, a, b)
78 fibheap_t heap ATTRIBUTE_UNUSED;
79 fibnode_t a;
80 fibnode_t b;
81{
82 if (a->key < b->key)
83 return -1;
84 if (a->key > b->key)
85 return 1;
86 return 0;
87}
88
89static inline int
90fibheap_comp_data (heap, key, data, b)
8c23e0a4 91 fibheap_t heap;
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92 fibheapkey_t key;
93 void *data;
94 fibnode_t b;
8c23e0a4 95{
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96 struct fibnode a;
97
98 a.key = key;
99 a.data = data;
100
101 return fibheap_compare (heap, &a, b);
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102}
103
104/* Insert DATA, with priority KEY, into HEAP. */
105fibnode_t
106fibheap_insert (heap, key, data)
107 fibheap_t heap;
108 fibheapkey_t key;
109 void *data;
110{
111 fibnode_t node;
f379eac3 112
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113 /* Create the new node. */
114 node = fibnode_new ();
f379eac3 115
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116 /* Set the node's data. */
117 node->data = data;
118 node->key = key;
119
120 /* Insert it into the root list. */
121 fibheap_ins_root (heap, node);
122
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123 /* If their was no minimum, or this key is less than the min,
124 it's the new min. */
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125 if (heap->min == NULL || node->key < heap->min->key)
126 heap->min = node;
127
128 heap->nodes++;
129
130 return node;
131}
132
133/* Return the data of the minimum node (if we know it). */
134void *
135fibheap_min (heap)
136 fibheap_t heap;
137{
138 /* If there is no min, we can't easily return it. */
139 if (heap->min == NULL)
140 return NULL;
141 return heap->min->data;
142}
143
144/* Return the key of the minimum node (if we know it). */
145fibheapkey_t
146fibheap_min_key (heap)
147 fibheap_t heap;
148{
149 /* If there is no min, we can't easily return it. */
150 if (heap->min == NULL)
151 return 0;
152 return heap->min->key;
153}
154
155/* Union HEAPA and HEAPB into a new heap. */
156fibheap_t
157fibheap_union (heapa, heapb)
158 fibheap_t heapa;
159 fibheap_t heapb;
160{
f379eac3 161 fibnode_t a_root, b_root, temp;
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162
163 /* If one of the heaps is empty, the union is just the other heap. */
f379eac3 164 if ((a_root = heapa->root) == NULL)
8c23e0a4 165 {
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166 free (heapa);
167 return heapb;
168 }
169 if ((b_root = heapb->root) == NULL)
170 {
171 free (heapb);
172 return heapa;
8c23e0a4 173 }
f379eac3 174
8c23e0a4 175 /* Merge them to the next nodes on the opposite chain. */
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176 a_root->left->right = b_root;
177 b_root->left->right = a_root;
178 temp = a_root->left;
179 a_root->left = b_root->left;
180 b_root->left = temp;
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181 heapa->nodes += heapb->nodes;
182
183 /* And set the new minimum, if it's changed. */
184 if (fibheap_compare (heapa, heapb->min, heapa->min) < 0)
185 heapa->min = heapb->min;
186
187 free (heapb);
188 return heapa;
189}
190
191/* Extract the data of the minimum node from HEAP. */
192void *
193fibheap_extract_min (heap)
194 fibheap_t heap;
195{
196 fibnode_t z;
f379eac3 197 void *ret = NULL;
8c23e0a4 198
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199 /* If we don't have a min set, it means we have no nodes. */
200 if (heap->min != NULL)
201 {
202 /* Otherwise, extract the min node, free the node, and return the
203 node's data. */
204 z = fibheap_extr_min_node (heap);
205 ret = z->data;
206 free (z);
207 }
208
209 return ret;
210}
211
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212/* Replace both the KEY and the DATA associated with NODE. */
213void *
214fibheap_replace_key_data (heap, node, key, data)
215 fibheap_t heap;
216 fibnode_t node;
217 fibheapkey_t key;
218 void *data;
219{
220 void *odata;
13f7d3a1 221 fibheapkey_t okey;
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222 fibnode_t y;
223
224 /* If we wanted to, we could actually do a real increase by redeleting and
225 inserting. However, this would require O (log n) time. So just bail out
226 for now. */
227 if (fibheap_comp_data (heap, key, data, node) > 0)
228 return NULL;
229
230 odata = node->data;
231 okey = node->key;
232 node->data = data;
233 node->key = key;
234 y = node->parent;
235
236 if (okey == key)
237 return odata;
238
239 /* These two compares are specifically <= 0 to make sure that in the case
240 of equality, a node we replaced the data on, becomes the new min. This
241 is needed so that delete's call to extractmin gets the right node. */
242 if (y != NULL && fibheap_compare (heap, node, y) <= 0)
243 {
244 fibheap_cut (heap, node, y);
245 fibheap_cascading_cut (heap, y);
246 }
247
248 if (fibheap_compare (heap, node, heap->min) <= 0)
249 heap->min = node;
250
251 return odata;
252}
253
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254/* Replace the DATA associated with NODE. */
255void *
256fibheap_replace_data (heap, node, data)
257 fibheap_t heap;
258 fibnode_t node;
259 void *data;
260{
261 return fibheap_replace_key_data (heap, node, node->key, data);
262}
263
264/* Replace the KEY associated with NODE. */
265fibheapkey_t
266fibheap_replace_key (heap, node, key)
267 fibheap_t heap;
268 fibnode_t node;
269 fibheapkey_t key;
270{
271 int okey = node->key;
272 fibheap_replace_key_data (heap, node, key, node->data);
273 return okey;
274}
275
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276/* Delete NODE from HEAP. */
277void *
278fibheap_delete_node (heap, node)
279 fibheap_t heap;
280 fibnode_t node;
281{
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282 void *ret = node->data;
283
8c23e0a4 284 /* To perform delete, we just make it the min key, and extract. */
f379eac3 285 fibheap_replace_key (heap, node, FIBHEAPKEY_MIN);
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286 fibheap_extract_min (heap);
287
f379eac3 288 return ret;
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289}
290
291/* Delete HEAP. */
292void
293fibheap_delete (heap)
294 fibheap_t heap;
295{
296 while (heap->min != NULL)
297 free (fibheap_extr_min_node (heap));
298
299 free (heap);
300}
301
302/* Determine if HEAP is empty. */
303int
304fibheap_empty (heap)
305 fibheap_t heap;
306{
307 return heap->nodes == 0;
308}
309
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310/* Extract the minimum node of the heap. */
311static fibnode_t
312fibheap_extr_min_node (heap)
313 fibheap_t heap;
314{
f379eac3 315 fibnode_t ret = heap->min;
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316 fibnode_t x, y, orig;
317
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318 /* Attach the child list of the minimum node to the root list of the heap.
319 If there is no child list, we don't do squat. */
f379eac3 320 for (x = ret->child, orig = NULL; x != orig && x != NULL; x = y)
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321 {
322 if (orig == NULL)
323 orig = x;
324 y = x->right;
325 x->parent = NULL;
326 fibheap_ins_root (heap, x);
8c23e0a4 327 }
f379eac3 328
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329 /* Remove the old root. */
330 fibheap_rem_root (heap, ret);
331 heap->nodes--;
f379eac3 332
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333 /* If we are left with no nodes, then the min is NULL. */
334 if (heap->nodes == 0)
335 heap->min = NULL;
336 else
337 {
338 /* Otherwise, consolidate to find new minimum, as well as do the reorg
339 work that needs to be done. */
340 heap->min = ret->right;
341 fibheap_consolidate (heap);
342 }
343
344 return ret;
345}
346
347/* Insert NODE into the root list of HEAP. */
348static void
349fibheap_ins_root (heap, node)
350 fibheap_t heap;
351 fibnode_t node;
352{
353 /* If the heap is currently empty, the new node becomes the singleton
354 circular root list. */
355 if (heap->root == NULL)
356 {
357 heap->root = node;
358 node->left = node;
359 node->right = node;
360 return;
361 }
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362
363 /* Otherwise, insert it in the circular root list between the root
364 and it's right node. */
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365 fibnode_insert_after (heap->root, node);
366}
367
368/* Remove NODE from the rootlist of HEAP. */
369static void
370fibheap_rem_root (heap, node)
371 fibheap_t heap;
372 fibnode_t node;
373{
374 if (node->left == node)
375 heap->root = NULL;
376 else
377 heap->root = fibnode_remove (node);
378}
379
380/* Consolidate the heap. */
381static void
382fibheap_consolidate (heap)
383 fibheap_t heap;
384{
385 fibnode_t a[1 + 8 * sizeof (long)];
386 fibnode_t w;
387 fibnode_t y;
388 fibnode_t x;
389 int i;
390 int d;
391 int D;
392
393 D = 1 + 8 * sizeof (long);
394
395 memset (a, 0, sizeof (fibnode_t) * D);
396
397 while ((w = heap->root) != NULL)
398 {
399 x = w;
400 fibheap_rem_root (heap, w);
401 d = x->degree;
402 while (a[d] != NULL)
403 {
404 y = a[d];
405 if (fibheap_compare (heap, x, y) > 0)
406 {
407 fibnode_t temp;
408 temp = x;
409 x = y;
410 y = temp;
411 }
412 fibheap_link (heap, y, x);
413 a[d] = NULL;
414 d++;
415 }
416 a[d] = x;
417 }
418 heap->min = NULL;
419 for (i = 0; i < D; i++)
420 if (a[i] != NULL)
421 {
422 fibheap_ins_root (heap, a[i]);
423 if (heap->min == NULL || fibheap_compare (heap, a[i], heap->min) < 0)
424 heap->min = a[i];
425 }
426}
427
428/* Make NODE a child of PARENT. */
429static void
430fibheap_link (heap, node, parent)
431 fibheap_t heap ATTRIBUTE_UNUSED;
432 fibnode_t node;
433 fibnode_t parent;
434{
435 if (parent->child == NULL)
436 parent->child = node;
437 else
438 fibnode_insert_before (parent->child, node);
439 node->parent = parent;
440 parent->degree++;
441 node->mark = 0;
442}
443
444/* Remove NODE from PARENT's child list. */
445static void
446fibheap_cut (heap, node, parent)
447 fibheap_t heap;
448 fibnode_t node;
449 fibnode_t parent;
450{
451 fibnode_remove (node);
452 parent->degree--;
453 fibheap_ins_root (heap, node);
454 node->parent = NULL;
455 node->mark = 0;
456}
457
458static void
459fibheap_cascading_cut (heap, y)
460 fibheap_t heap;
461 fibnode_t y;
462{
463 fibnode_t z;
464
465 while ((z = y->parent) != NULL)
466 {
467 if (y->mark == 0)
468 {
469 y->mark = 1;
470 return;
471 }
472 else
473 {
474 fibheap_cut (heap, y, z);
475 y = z;
476 }
477 }
478}
479
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480static void
481fibnode_insert_after (a, b)
482 fibnode_t a;
483 fibnode_t b;
484{
485 if (a == a->right)
486 {
487 a->right = b;
488 a->left = b;
489 b->right = a;
490 b->left = a;
491 }
492 else
493 {
494 b->right = a->right;
495 a->right->left = b;
496 a->right = b;
497 b->left = a;
498 }
499}
500
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501static fibnode_t
502fibnode_remove (node)
503 fibnode_t node;
504{
505 fibnode_t ret;
506
507 if (node == node->left)
508 ret = NULL;
509 else
510 ret = node->left;
511
512 if (node->parent != NULL && node->parent->child == node)
513 node->parent->child = ret;
514
515 node->right->left = node->left;
516 node->left->right = node->right;
517
518 node->parent = NULL;
519 node->left = node;
520 node->right = node;
521
522 return ret;
523}