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252b5132 1/* A splay-tree datatype.
82704155 2 Copyright (C) 1998-2019 Free Software Foundation, Inc.
252b5132
RH
3 Contributed by Mark Mitchell (mark@markmitchell.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
979c05d3
NC
19the Free Software Foundation, 51 Franklin Street - Fifth Floor,
20Boston, MA 02110-1301, USA. */
252b5132
RH
21
22/* For an easily readable description of splay-trees, see:
23
24 Lewis, Harry R. and Denenberg, Larry. Data Structures and Their
25 Algorithms. Harper-Collins, Inc. 1991. */
26
27#ifdef HAVE_CONFIG_H
28#include "config.h"
29#endif
30
31#ifdef HAVE_STDLIB_H
32#include <stdlib.h>
33#endif
22467434 34#ifdef HAVE_STRING_H
35#include <string.h>
36#endif
252b5132 37
60c64519
DD
38#include <stdio.h>
39
252b5132
RH
40#include "libiberty.h"
41#include "splay-tree.h"
42
1e45deed 43static void splay_tree_delete_helper (splay_tree, splay_tree_node);
718c0ded
DD
44static inline void rotate_left (splay_tree_node *,
45 splay_tree_node, splay_tree_node);
46static inline void rotate_right (splay_tree_node *,
47 splay_tree_node, splay_tree_node);
1e45deed 48static void splay_tree_splay (splay_tree, splay_tree_key);
98f0b5d4 49static int splay_tree_foreach_helper (splay_tree_node,
1e45deed 50 splay_tree_foreach_fn, void*);
252b5132
RH
51
52/* Deallocate NODE (a member of SP), and all its sub-trees. */
53
54static void
1e45deed 55splay_tree_delete_helper (splay_tree sp, splay_tree_node node)
252b5132 56{
9923bc33
DD
57 splay_tree_node pending = 0;
58 splay_tree_node active = 0;
59
252b5132
RH
60 if (!node)
61 return;
62
9923bc33
DD
63#define KDEL(x) if (sp->delete_key) (*sp->delete_key)(x);
64#define VDEL(x) if (sp->delete_value) (*sp->delete_value)(x);
65
66 KDEL (node->key);
67 VDEL (node->value);
252b5132 68
9923bc33
DD
69 /* We use the "key" field to hold the "next" pointer. */
70 node->key = (splay_tree_key)pending;
71 pending = (splay_tree_node)node;
252b5132 72
9923bc33
DD
73 /* Now, keep processing the pending list until there aren't any
74 more. This is a little more complicated than just recursing, but
75 it doesn't toast the stack for large trees. */
76
77 while (pending)
78 {
79 active = pending;
80 pending = 0;
81 while (active)
82 {
83 splay_tree_node temp;
84
85 /* active points to a node which has its key and value
86 deallocated, we just need to process left and right. */
87
88 if (active->left)
89 {
90 KDEL (active->left->key);
91 VDEL (active->left->value);
92 active->left->key = (splay_tree_key)pending;
93 pending = (splay_tree_node)(active->left);
94 }
95 if (active->right)
96 {
97 KDEL (active->right->key);
98 VDEL (active->right->value);
99 active->right->key = (splay_tree_key)pending;
100 pending = (splay_tree_node)(active->right);
101 }
102
103 temp = active;
104 active = (splay_tree_node)(temp->key);
105 (*sp->deallocate) ((char*) temp, sp->allocate_data);
106 }
107 }
108#undef KDEL
109#undef VDEL
252b5132
RH
110}
111
718c0ded 112/* Rotate the edge joining the left child N with its parent P. PP is the
145f4ab5 113 grandparents' pointer to P. */
252b5132 114
718c0ded
DD
115static inline void
116rotate_left (splay_tree_node *pp, splay_tree_node p, splay_tree_node n)
252b5132 117{
718c0ded
DD
118 splay_tree_node tmp;
119 tmp = n->right;
120 n->right = p;
121 p->left = tmp;
122 *pp = n;
123}
252b5132 124
718c0ded 125/* Rotate the edge joining the right child N with its parent P. PP is the
145f4ab5 126 grandparents' pointer to P. */
252b5132 127
718c0ded
DD
128static inline void
129rotate_right (splay_tree_node *pp, splay_tree_node p, splay_tree_node n)
130{
131 splay_tree_node tmp;
132 tmp = n->left;
133 n->left = p;
134 p->right = tmp;
135 *pp = n;
252b5132
RH
136}
137
718c0ded 138/* Bottom up splay of key. */
252b5132
RH
139
140static void
1e45deed 141splay_tree_splay (splay_tree sp, splay_tree_key key)
252b5132
RH
142{
143 if (sp->root == 0)
144 return;
145
718c0ded
DD
146 do {
147 int cmp1, cmp2;
148 splay_tree_node n, c;
149
150 n = sp->root;
151 cmp1 = (*sp->comp) (key, n->key);
152
153 /* Found. */
154 if (cmp1 == 0)
155 return;
156
157 /* Left or right? If no child, then we're done. */
158 if (cmp1 < 0)
159 c = n->left;
160 else
161 c = n->right;
162 if (!c)
163 return;
164
165 /* Next one left or right? If found or no child, we're done
166 after one rotation. */
167 cmp2 = (*sp->comp) (key, c->key);
168 if (cmp2 == 0
169 || (cmp2 < 0 && !c->left)
170 || (cmp2 > 0 && !c->right))
171 {
172 if (cmp1 < 0)
173 rotate_left (&sp->root, n, c);
174 else
175 rotate_right (&sp->root, n, c);
176 return;
177 }
178
179 /* Now we have the four cases of double-rotation. */
180 if (cmp1 < 0 && cmp2 < 0)
181 {
182 rotate_left (&n->left, c, c->left);
183 rotate_left (&sp->root, n, n->left);
184 }
185 else if (cmp1 > 0 && cmp2 > 0)
186 {
187 rotate_right (&n->right, c, c->right);
188 rotate_right (&sp->root, n, n->right);
189 }
190 else if (cmp1 < 0 && cmp2 > 0)
191 {
192 rotate_right (&n->left, c, c->right);
193 rotate_left (&sp->root, n, n->left);
194 }
195 else if (cmp1 > 0 && cmp2 < 0)
196 {
197 rotate_left (&n->right, c, c->left);
198 rotate_right (&sp->root, n, n->right);
199 }
200 } while (1);
252b5132
RH
201}
202
203/* Call FN, passing it the DATA, for every node below NODE, all of
204 which are from SP, following an in-order traversal. If FN every
205 returns a non-zero value, the iteration ceases immediately, and the
206 value is returned. Otherwise, this function returns 0. */
207
208static int
98f0b5d4 209splay_tree_foreach_helper (splay_tree_node node,
1e45deed 210 splay_tree_foreach_fn fn, void *data)
252b5132
RH
211{
212 int val;
98f0b5d4
DD
213 splay_tree_node *stack;
214 int stack_ptr, stack_size;
252b5132 215
98f0b5d4
DD
216 /* A non-recursive implementation is used to avoid filling the stack
217 for large trees. Splay trees are worst case O(n) in the depth of
218 the tree. */
219
220#define INITIAL_STACK_SIZE 100
221 stack_size = INITIAL_STACK_SIZE;
222 stack_ptr = 0;
223 stack = XNEWVEC (splay_tree_node, stack_size);
224 val = 0;
225
226 for (;;)
227 {
228 while (node != NULL)
229 {
230 if (stack_ptr == stack_size)
231 {
232 stack_size *= 2;
233 stack = XRESIZEVEC (splay_tree_node, stack, stack_size);
234 }
235 stack[stack_ptr++] = node;
236 node = node->left;
237 }
252b5132 238
98f0b5d4
DD
239 if (stack_ptr == 0)
240 break;
252b5132 241
98f0b5d4 242 node = stack[--stack_ptr];
252b5132 243
98f0b5d4
DD
244 val = (*fn) (node, data);
245 if (val)
246 break;
252b5132 247
98f0b5d4
DD
248 node = node->right;
249 }
250
251 XDELETEVEC (stack);
252 return val;
253}
2bbcdae9
JB
254
255/* An allocator and deallocator based on xmalloc. */
256static void *
1e45deed 257splay_tree_xmalloc_allocate (int size, void *data ATTRIBUTE_UNUSED)
2bbcdae9 258{
585cc78f 259 return (void *) xmalloc (size);
2bbcdae9
JB
260}
261
262static void
1e45deed 263splay_tree_xmalloc_deallocate (void *object, void *data ATTRIBUTE_UNUSED)
2bbcdae9
JB
264{
265 free (object);
266}
267
268
252b5132
RH
269/* Allocate a new splay tree, using COMPARE_FN to compare nodes,
270 DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate
2bbcdae9
JB
271 values. Use xmalloc to allocate the splay tree structure, and any
272 nodes added. */
252b5132
RH
273
274splay_tree
1e45deed
DD
275splay_tree_new (splay_tree_compare_fn compare_fn,
276 splay_tree_delete_key_fn delete_key_fn,
277 splay_tree_delete_value_fn delete_value_fn)
252b5132 278{
2bbcdae9
JB
279 return (splay_tree_new_with_allocator
280 (compare_fn, delete_key_fn, delete_value_fn,
281 splay_tree_xmalloc_allocate, splay_tree_xmalloc_deallocate, 0));
282}
283
284
285/* Allocate a new splay tree, using COMPARE_FN to compare nodes,
286 DELETE_KEY_FN to deallocate keys, and DELETE_VALUE_FN to deallocate
287 values. */
288
289splay_tree
1e45deed
DD
290splay_tree_new_with_allocator (splay_tree_compare_fn compare_fn,
291 splay_tree_delete_key_fn delete_key_fn,
292 splay_tree_delete_value_fn delete_value_fn,
293 splay_tree_allocate_fn allocate_fn,
294 splay_tree_deallocate_fn deallocate_fn,
295 void *allocate_data)
2bbcdae9 296{
219a461e
DD
297 return
298 splay_tree_new_typed_alloc (compare_fn, delete_key_fn, delete_value_fn,
299 allocate_fn, allocate_fn, deallocate_fn,
300 allocate_data);
301}
302
303/*
304
d4d868a2
RW
305@deftypefn Supplemental splay_tree splay_tree_new_with_typed_alloc @
306(splay_tree_compare_fn @var{compare_fn}, @
307splay_tree_delete_key_fn @var{delete_key_fn}, @
308splay_tree_delete_value_fn @var{delete_value_fn}, @
309splay_tree_allocate_fn @var{tree_allocate_fn}, @
310splay_tree_allocate_fn @var{node_allocate_fn}, @
311splay_tree_deallocate_fn @var{deallocate_fn}, @
219a461e
DD
312void * @var{allocate_data})
313
314This function creates a splay tree that uses two different allocators
315@var{tree_allocate_fn} and @var{node_allocate_fn} to use for allocating the
316tree itself and its nodes respectively. This is useful when variables of
317different types need to be allocated with different allocators.
318
319The splay tree will use @var{compare_fn} to compare nodes,
320@var{delete_key_fn} to deallocate keys, and @var{delete_value_fn} to
321deallocate values.
322
323@end deftypefn
324
325*/
326
327splay_tree
328splay_tree_new_typed_alloc (splay_tree_compare_fn compare_fn,
329 splay_tree_delete_key_fn delete_key_fn,
330 splay_tree_delete_value_fn delete_value_fn,
331 splay_tree_allocate_fn tree_allocate_fn,
332 splay_tree_allocate_fn node_allocate_fn,
333 splay_tree_deallocate_fn deallocate_fn,
334 void * allocate_data)
335{
336 splay_tree sp = (splay_tree) (*tree_allocate_fn)
337 (sizeof (struct splay_tree_s), allocate_data);
338
252b5132
RH
339 sp->root = 0;
340 sp->comp = compare_fn;
341 sp->delete_key = delete_key_fn;
342 sp->delete_value = delete_value_fn;
219a461e 343 sp->allocate = node_allocate_fn;
2bbcdae9
JB
344 sp->deallocate = deallocate_fn;
345 sp->allocate_data = allocate_data;
252b5132
RH
346
347 return sp;
348}
349
350/* Deallocate SP. */
351
352void
1e45deed 353splay_tree_delete (splay_tree sp)
252b5132
RH
354{
355 splay_tree_delete_helper (sp, sp->root);
2bbcdae9 356 (*sp->deallocate) ((char*) sp, sp->allocate_data);
252b5132
RH
357}
358
359/* Insert a new node (associating KEY with DATA) into SP. If a
360 previous node with the indicated KEY exists, its data is replaced
0c0a36a4 361 with the new value. Returns the new node. */
252b5132 362
0c0a36a4 363splay_tree_node
1e45deed 364splay_tree_insert (splay_tree sp, splay_tree_key key, splay_tree_value value)
252b5132 365{
af32ff69 366 int comparison = 0;
252b5132
RH
367
368 splay_tree_splay (sp, key);
369
370 if (sp->root)
371 comparison = (*sp->comp)(sp->root->key, key);
372
373 if (sp->root && comparison == 0)
374 {
375 /* If the root of the tree already has the indicated KEY, just
376 replace the value with VALUE. */
377 if (sp->delete_value)
378 (*sp->delete_value)(sp->root->value);
379 sp->root->value = value;
380 }
381 else
382 {
383 /* Create a new node, and insert it at the root. */
384 splay_tree_node node;
219a461e 385
2bbcdae9 386 node = ((splay_tree_node)
219a461e
DD
387 (*sp->allocate) (sizeof (struct splay_tree_node_s),
388 sp->allocate_data));
252b5132
RH
389 node->key = key;
390 node->value = value;
391
392 if (!sp->root)
393 node->left = node->right = 0;
394 else if (comparison < 0)
395 {
396 node->left = sp->root;
397 node->right = node->left->right;
398 node->left->right = 0;
399 }
400 else
401 {
402 node->right = sp->root;
403 node->left = node->right->left;
404 node->right->left = 0;
405 }
406
74bcd529
DD
407 sp->root = node;
408 }
0c0a36a4
ILT
409
410 return sp->root;
252b5132
RH
411}
412
afe36a78
RH
413/* Remove KEY from SP. It is not an error if it did not exist. */
414
415void
1e45deed 416splay_tree_remove (splay_tree sp, splay_tree_key key)
afe36a78
RH
417{
418 splay_tree_splay (sp, key);
419
420 if (sp->root && (*sp->comp) (sp->root->key, key) == 0)
421 {
422 splay_tree_node left, right;
423
424 left = sp->root->left;
425 right = sp->root->right;
426
427 /* Delete the root node itself. */
428 if (sp->delete_value)
429 (*sp->delete_value) (sp->root->value);
2bbcdae9 430 (*sp->deallocate) (sp->root, sp->allocate_data);
afe36a78
RH
431
432 /* One of the children is now the root. Doesn't matter much
433 which, so long as we preserve the properties of the tree. */
434 if (left)
435 {
436 sp->root = left;
437
438 /* If there was a right child as well, hang it off the
439 right-most leaf of the left child. */
440 if (right)
441 {
442 while (left->right)
443 left = left->right;
444 left->right = right;
445 }
446 }
447 else
448 sp->root = right;
449 }
450}
451
252b5132
RH
452/* Lookup KEY in SP, returning VALUE if present, and NULL
453 otherwise. */
454
455splay_tree_node
1e45deed 456splay_tree_lookup (splay_tree sp, splay_tree_key key)
252b5132
RH
457{
458 splay_tree_splay (sp, key);
459
460 if (sp->root && (*sp->comp)(sp->root->key, key) == 0)
461 return sp->root;
462 else
463 return 0;
464}
465
e00bc6a7
DD
466/* Return the node in SP with the greatest key. */
467
468splay_tree_node
1e45deed 469splay_tree_max (splay_tree sp)
e00bc6a7
DD
470{
471 splay_tree_node n = sp->root;
472
473 if (!n)
474 return NULL;
475
476 while (n->right)
477 n = n->right;
478
479 return n;
480}
481
482/* Return the node in SP with the smallest key. */
483
484splay_tree_node
1e45deed 485splay_tree_min (splay_tree sp)
e00bc6a7
DD
486{
487 splay_tree_node n = sp->root;
488
489 if (!n)
490 return NULL;
491
492 while (n->left)
493 n = n->left;
494
495 return n;
496}
497
74bcd529
DD
498/* Return the immediate predecessor KEY, or NULL if there is no
499 predecessor. KEY need not be present in the tree. */
500
501splay_tree_node
1e45deed 502splay_tree_predecessor (splay_tree sp, splay_tree_key key)
74bcd529
DD
503{
504 int comparison;
505 splay_tree_node node;
506
507 /* If the tree is empty, there is certainly no predecessor. */
508 if (!sp->root)
509 return NULL;
510
511 /* Splay the tree around KEY. That will leave either the KEY
512 itself, its predecessor, or its successor at the root. */
513 splay_tree_splay (sp, key);
514 comparison = (*sp->comp)(sp->root->key, key);
515
516 /* If the predecessor is at the root, just return it. */
517 if (comparison < 0)
518 return sp->root;
519
0f3538e7 520 /* Otherwise, find the rightmost element of the left subtree. */
74bcd529
DD
521 node = sp->root->left;
522 if (node)
523 while (node->right)
524 node = node->right;
525
526 return node;
527}
528
529/* Return the immediate successor KEY, or NULL if there is no
a54ba43f 530 successor. KEY need not be present in the tree. */
74bcd529
DD
531
532splay_tree_node
1e45deed 533splay_tree_successor (splay_tree sp, splay_tree_key key)
74bcd529
DD
534{
535 int comparison;
536 splay_tree_node node;
537
a54ba43f 538 /* If the tree is empty, there is certainly no successor. */
74bcd529
DD
539 if (!sp->root)
540 return NULL;
541
542 /* Splay the tree around KEY. That will leave either the KEY
543 itself, its predecessor, or its successor at the root. */
544 splay_tree_splay (sp, key);
545 comparison = (*sp->comp)(sp->root->key, key);
546
547 /* If the successor is at the root, just return it. */
548 if (comparison > 0)
549 return sp->root;
550
0f3538e7 551 /* Otherwise, find the leftmost element of the right subtree. */
74bcd529
DD
552 node = sp->root->right;
553 if (node)
554 while (node->left)
555 node = node->left;
556
557 return node;
558}
559
252b5132
RH
560/* Call FN, passing it the DATA, for every node in SP, following an
561 in-order traversal. If FN every returns a non-zero value, the
562 iteration ceases immediately, and the value is returned.
563 Otherwise, this function returns 0. */
564
565int
1e45deed 566splay_tree_foreach (splay_tree sp, splay_tree_foreach_fn fn, void *data)
252b5132 567{
98f0b5d4 568 return splay_tree_foreach_helper (sp->root, fn, data);
252b5132
RH
569}
570
571/* Splay-tree comparison function, treating the keys as ints. */
572
573int
1e45deed 574splay_tree_compare_ints (splay_tree_key k1, splay_tree_key k2)
252b5132
RH
575{
576 if ((int) k1 < (int) k2)
577 return -1;
578 else if ((int) k1 > (int) k2)
579 return 1;
580 else
581 return 0;
582}
583
584/* Splay-tree comparison function, treating the keys as pointers. */
585
586int
1e45deed 587splay_tree_compare_pointers (splay_tree_key k1, splay_tree_key k2)
252b5132
RH
588{
589 if ((char*) k1 < (char*) k2)
590 return -1;
591 else if ((char*) k1 > (char*) k2)
592 return 1;
593 else
594 return 0;
595}
22467434 596
597/* Splay-tree comparison function, treating the keys as strings. */
598
599int
600splay_tree_compare_strings (splay_tree_key k1, splay_tree_key k2)
601{
602 return strcmp ((char *) k1, (char *) k2);
603}
604
605/* Splay-tree delete function, simply using free. */
606
607void
608splay_tree_delete_pointers (splay_tree_value value)
609{
610 free ((void *) value);
611}