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-rw-r--r--litmus/binheap.c387
1 files changed, 387 insertions, 0 deletions
diff --git a/litmus/binheap.c b/litmus/binheap.c
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1#include <litmus/binheap.h>
2
3/* Returns true of the root ancestor of node is the root of the given heap. */
4int binheap_is_in_this_heap(struct binheap_node *node,
5 struct binheap* heap)
6{
7 if(!binheap_is_in_heap(node)) {
8 return 0;
9 }
10
11 while(node->parent != NULL) {
12 node = node->parent;
13 }
14
15 return (node == heap->root);
16}
17
18
19/* Update the node reference pointers. Same logic as Litmus binomial heap. */
20static void __update_ref(struct binheap_node *parent,
21 struct binheap_node *child)
22{
23 *(parent->ref_ptr) = child;
24 *(child->ref_ptr) = parent;
25
26 swap(parent->ref_ptr, child->ref_ptr);
27}
28
29
30/* Swaps data between two nodes. */
31static void __binheap_swap(struct binheap_node *parent,
32 struct binheap_node *child)
33{
34 swap(parent->data, child->data);
35 __update_ref(parent, child);
36}
37
38
39/* Swaps memory and data between two nodes. Actual nodes swap instead of
40 * just data. Needed when we delete nodes from the heap.
41 */
42static void __binheap_swap_safe(struct binheap *handle,
43 struct binheap_node *a,
44 struct binheap_node *b)
45{
46 swap(a->data, b->data);
47 __update_ref(a, b);
48
49 if((a->parent != NULL) && (a->parent == b->parent)) {
50 /* special case: shared parent */
51 swap(a->parent->left, a->parent->right);
52 }
53 else {
54 /* Update pointers to swap parents. */
55
56 if(a->parent) {
57 if(a == a->parent->left) {
58 a->parent->left = b;
59 }
60 else {
61 a->parent->right = b;
62 }
63 }
64
65 if(b->parent) {
66 if(b == b->parent->left) {
67 b->parent->left = a;
68 }
69 else {
70 b->parent->right = a;
71 }
72 }
73
74 swap(a->parent, b->parent);
75 }
76
77 /* swap children */
78
79 if(a->left) {
80 a->left->parent = b;
81
82 if(a->right) {
83 a->right->parent = b;
84 }
85 }
86
87 if(b->left) {
88 b->left->parent = a;
89
90 if(b->right) {
91 b->right->parent = a;
92 }
93 }
94
95 swap(a->left, b->left);
96 swap(a->right, b->right);
97
98
99 /* update next/last/root pointers */
100
101 if(a == handle->next) {
102 handle->next = b;
103 }
104 else if(b == handle->next) {
105 handle->next = a;
106 }
107
108 if(a == handle->last) {
109 handle->last = b;
110 }
111 else if(b == handle->last) {
112 handle->last = a;
113 }
114
115 if(a == handle->root) {
116 handle->root = b;
117 }
118 else if(b == handle->root) {
119 handle->root = a;
120 }
121}
122
123
124/**
125 * Update the pointer to the last node in the complete binary tree.
126 * Called internally after the root node has been deleted.
127 */
128static void __binheap_update_last(struct binheap *handle)
129{
130 struct binheap_node *temp = handle->last;
131
132 /* find a "bend" in the tree. */
133 while(temp->parent && (temp == temp->parent->left)) {
134 temp = temp->parent;
135 }
136
137 /* step over to sibling if we're not at root */
138 if(temp->parent != NULL) {
139 temp = temp->parent->left;
140 }
141
142 /* now travel right as far as possible. */
143 while(temp->right != NULL) {
144 temp = temp->right;
145 }
146
147 /* take one step to the left if we're not at the bottom-most level. */
148 if(temp->left != NULL) {
149 temp = temp->left;
150 }
151
152 handle->last = temp;
153}
154
155
156/**
157 * Update the pointer to the node that will take the next inserted node.
158 * Called internally after a node has been inserted.
159 */
160static void __binheap_update_next(struct binheap *handle)
161{
162 struct binheap_node *temp = handle->next;
163
164 /* find a "bend" in the tree. */
165 while(temp->parent && (temp == temp->parent->right)) {
166 temp = temp->parent;
167 }
168
169 /* step over to sibling if we're not at root */
170 if(temp->parent != NULL) {
171 temp = temp->parent->right;
172 }
173
174 /* now travel left as far as possible. */
175 while(temp->left != NULL) {
176 temp = temp->left;
177 }
178
179 handle->next = temp;
180}
181
182
183
184/* bubble node up towards root */
185static void __binheap_bubble_up(struct binheap *handle,
186 struct binheap_node *node)
187{
188 /* let BINHEAP_POISON data bubble to the top */
189
190 while((node->parent != NULL) &&
191 ((node->data == BINHEAP_POISON) ||
192 handle->compare(node, node->parent))) {
193 __binheap_swap(node->parent, node);
194 node = node->parent;
195 }
196}
197
198
199/* bubble node down, swapping with min-child */
200static void __binheap_bubble_down(struct binheap *handle)
201{
202 struct binheap_node *node = handle->root;
203
204 while(node->left != NULL) {
205 if(node->right && handle->compare(node->right, node->left)) {
206 if(handle->compare(node->right, node)) {
207 __binheap_swap(node, node->right);
208 node = node->right;
209 }
210 else {
211 break;
212 }
213 }
214 else {
215 if(handle->compare(node->left, node)) {
216 __binheap_swap(node, node->left);
217 node = node->left;
218 }
219 else {
220 break;
221 }
222 }
223 }
224}
225
226
227void __binheap_add(struct binheap_node *new_node,
228 struct binheap *handle,
229 void *data)
230{
231 new_node->data = data;
232 new_node->ref = new_node;
233 new_node->ref_ptr = &(new_node->ref);
234
235 if(!binheap_empty(handle)) {
236 /* insert left side first */
237 if(handle->next->left == NULL) {
238 handle->next->left = new_node;
239 new_node->parent = handle->next;
240 new_node->left = NULL;
241 new_node->right = NULL;
242
243 handle->last = new_node;
244
245 __binheap_bubble_up(handle, new_node);
246 }
247 else {
248 /* left occupied. insert right. */
249 handle->next->right = new_node;
250 new_node->parent = handle->next;
251 new_node->left = NULL;
252 new_node->right = NULL;
253
254 handle->last = new_node;
255
256 __binheap_update_next(handle);
257 __binheap_bubble_up(handle, new_node);
258 }
259 }
260 else {
261 /* first node in heap */
262
263 new_node->parent = NULL;
264 new_node->left = NULL;
265 new_node->right = NULL;
266
267 handle->root = new_node;
268 handle->next = new_node;
269 handle->last = new_node;
270 }
271}
272
273
274/**
275 * Removes the root node from the heap. The node is removed after coalescing
276 * the binheap_node with its original data pointer at the root of the tree.
277 *
278 * The 'last' node in the tree is then swapped up to the root and bubbled
279 * down.
280 */
281void __binheap_delete_root(struct binheap *handle,
282 struct binheap_node *container)
283{
284 struct binheap_node *root = handle->root;
285
286 if(root != container) {
287 /* coalesce */
288 __binheap_swap_safe(handle, root, container);
289 root = container;
290 }
291
292 if(handle->last != root) {
293 /* swap 'last' node up to root and bubble it down. */
294
295 struct binheap_node *to_move = handle->last;
296
297 if(to_move->parent != root) {
298 handle->next = to_move->parent;
299
300 if(handle->next->right == to_move) {
301 /* disconnect from parent */
302 to_move->parent->right = NULL;
303 handle->last = handle->next->left;
304 }
305 else {
306 /* find new 'last' before we disconnect */
307 __binheap_update_last(handle);
308
309 /* disconnect from parent */
310 to_move->parent->left = NULL;
311 }
312 }
313 else {
314 /* 'last' is direct child of root */
315
316 handle->next = to_move;
317
318 if(to_move == to_move->parent->right) {
319 to_move->parent->right = NULL;
320 handle->last = to_move->parent->left;
321 }
322 else {
323 to_move->parent->left = NULL;
324 handle->last = to_move;
325 }
326 }
327 to_move->parent = NULL;
328
329 /* reconnect as root. We can't just swap data ptrs since root node
330 * may be freed after this function returns.
331 */
332 to_move->left = root->left;
333 to_move->right = root->right;
334 if(to_move->left != NULL) {
335 to_move->left->parent = to_move;
336 }
337 if(to_move->right != NULL) {
338 to_move->right->parent = to_move;
339 }
340
341 handle->root = to_move;
342
343 /* bubble down */
344 __binheap_bubble_down(handle);
345 }
346 else {
347 /* removing last node in tree */
348 handle->root = NULL;
349 handle->next = NULL;
350 handle->last = NULL;
351 }
352
353 /* mark as removed */
354 container->parent = BINHEAP_POISON;
355}
356
357
358/**
359 * Delete an arbitrary node. Bubble node to delete up to the root,
360 * and then delete to root.
361 */
362void __binheap_delete(struct binheap_node *node_to_delete,
363 struct binheap *handle)
364{
365 struct binheap_node *target = node_to_delete->ref;
366 void *temp_data = target->data;
367
368 /* temporarily set data to null to allow node to bubble up to the top. */
369 target->data = BINHEAP_POISON;
370
371 __binheap_bubble_up(handle, target);
372 __binheap_delete_root(handle, node_to_delete);
373
374 node_to_delete->data = temp_data; /* restore node data pointer */
375}
376
377
378/**
379 * Bubble up a node whose pointer has decreased in value.
380 */
381void __binheap_decrease(struct binheap_node *orig_node,
382 struct binheap *handle)
383{
384 struct binheap_node *target = orig_node->ref;
385
386 __binheap_bubble_up(handle, target);
387}