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4 changed files with 152 additions and 121 deletions

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@ -4,30 +4,30 @@
#include <stdlib.h>
struct vieter_heap {
vieter_heap_tree *tree;
vieter_heap_node *tree;
};
vieter_heap *vieter_heap_init() { return calloc(1, sizeof(vieter_heap)); }
uint64_t vieter_heap_size(vieter_heap *heap) {
uint64_t size = 0;
vieter_heap_tree *tree = heap->tree;
vieter_heap_node *tree = heap->tree;
while (tree != NULL) {
size |= (uint64_t)1 << tree->order;
tree = tree->next;
tree = tree->ptr.next_tree;
}
return size;
}
void vieter_heap_free(vieter_heap *heap) {
vieter_heap_tree *tree = heap->tree;
vieter_heap_tree *next;
vieter_heap_node *tree = heap->tree;
vieter_heap_node *next;
while (tree != NULL) {
next = tree->next;
next = tree->ptr.next_tree;
vieter_heap_tree_free(tree);
tree = next;
}
@ -37,10 +37,10 @@ void vieter_heap_free(vieter_heap *heap) {
vieter_heap_error vieter_heap_insert(vieter_heap *heap, uint64_t key,
void *data) {
vieter_heap_node *new_node = vieter_heap_node_init();
new_node->key = key;
new_node->data = data;
vieter_heap_tree *new_tree = vieter_heap_tree_init(new_node, NULL, 0);
vieter_heap_node *new_tree = vieter_heap_node_init();
new_tree->key = key;
new_tree->data = data;
new_tree->order = 0;
if (heap->tree == NULL) {
heap->tree = new_tree;
@ -57,13 +57,15 @@ vieter_heap_error vieter_heap_pop(void **out, vieter_heap *heap) {
}
if (heap->tree->order == 0) {
*out = heap->tree->root->data;
vieter_heap_tree_free(heap->tree);
heap->tree = NULL;
*out = heap->tree->data;
vieter_heap_tree_free(heap->tree);
heap->tree = NULL;
return vieter_heap_ok;
return vieter_heap_ok;
}
heap->tree = vieter_heap_tree_pop(out, heap->tree);
return vieter_heap_ok;
}
@ -72,16 +74,16 @@ vieter_heap_error vieter_heap_peek(void **out, vieter_heap *heap) {
return vieter_heap_empty;
}
vieter_heap_tree *tree = heap->tree;
uint64_t smallest_key = tree->root->key;
*out = tree->root->data;
vieter_heap_node *tree = heap->tree;
uint64_t smallest_key = tree->key;
*out = tree->data;
while (tree->next != NULL) {
tree = tree->next;
while (tree->ptr.next_tree != NULL) {
tree = tree->ptr.next_tree;
if (tree->root->key < smallest_key) {
smallest_key = tree->root->key;
*out = tree->root->data;
if (tree->key < smallest_key) {
smallest_key = tree->key;
*out = tree->data;
}
}

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@ -6,11 +6,15 @@ vieter_heap_node *vieter_heap_node_init() {
void vieter_heap_node_free(vieter_heap_node *node) { free(node); }
void vieter_heap_tree_free(vieter_heap_tree *tree) {
void vieter_heap_tree_free(vieter_heap_node *root) {
if (root->order == 0) {
goto end;
}
uint64_t size = 1;
vieter_heap_node **stack =
malloc(((uint64_t)1 << tree->order) * sizeof(vieter_heap_node *));
stack[0] = tree->root;
malloc(((uint64_t)1 << root->order) * sizeof(vieter_heap_node *));
stack[0] = root->largest_order;
vieter_heap_node *node;
@ -23,8 +27,8 @@ void vieter_heap_tree_free(vieter_heap_tree *tree) {
size++;
}
if (node->next_largest_order != NULL) {
stack[size] = node->next_largest_order;
if (node->ptr.next_largest_order != NULL) {
stack[size] = node->ptr.next_largest_order;
size++;
}
@ -32,126 +36,152 @@ void vieter_heap_tree_free(vieter_heap_tree *tree) {
}
free(stack);
free(tree);
end:
vieter_heap_node_free(root);
}
vieter_heap_tree *vieter_heap_tree_init(vieter_heap_node *root,
vieter_heap_tree *next, uint8_t order) {
vieter_heap_tree *tree = malloc(sizeof(vieter_heap_tree));
vieter_heap_node *vieter_heap_tree_merge_same_order(vieter_heap_node *root_a,
vieter_heap_node *root_b) {
vieter_heap_node *new_root;
tree->root = root;
tree->next = next;
tree->order = order;
return tree;
}
void vieter_heap_tree_swap(vieter_heap_tree *t1, vieter_heap_tree *t2) {
vieter_heap_tree temp = {
.order = t1->order, .root = t1->root, .next = t1->next};
t1->order = t2->order;
t1->root = t2->root;
t1->next = t2->next;
t2->order = temp.order;
t2->root = temp.root;
t2->next = temp.next;
}
vieter_heap_tree *vieter_heap_tree_merge_same_order(vieter_heap_tree *tree_a,
vieter_heap_tree *tree_b) {
vieter_heap_tree *new_tree;
if (tree_a->root->key <= tree_b->root->key) {
new_tree = tree_a;
tree_a->root->next_largest_order = tree_a->root->largest_order;
tree_a->root->largest_order = tree_b->root;
free(tree_b);
if (root_a->key <= root_b->key) {
new_root = root_a;
root_b->ptr.next_largest_order = root_a->largest_order;
root_a->largest_order = root_b;
} else {
new_tree = tree_b;
tree_b->root->next_largest_order = tree_b->root->largest_order;
tree_b->root->largest_order = tree_a->root;
free(tree_a);
new_root = root_b;
root_a->ptr.next_largest_order = root_b->largest_order;
root_b->largest_order = root_a;
}
new_tree->order++;
new_root->order++;
return new_tree;
return new_root;
}
vieter_heap_tree *vieter_heap_tree_merge(vieter_heap_tree *tree_a,
vieter_heap_tree *tree_b) {
vieter_heap_tree *tree, *target, *out;
vieter_heap_node *vieter_heap_tree_merge(vieter_heap_node *root_a,
vieter_heap_node *root_b) {
vieter_heap_node *root, *target, *out;
if (tree_a->order <= tree_b->order) {
target = tree_a;
tree = tree_b;
if (root_a->order <= root_b->order) {
target = root_a;
root = root_b;
} else {
target = tree_b;
tree = tree_a;
target = root_b;
root = root_a;
}
vieter_heap_tree *next_tree, *next_target;
vieter_heap_tree *previous_target = NULL;
vieter_heap_node *next_tree, *next_target;
vieter_heap_node *previous_target = NULL;
while (target != NULL && tree != NULL) {
if (target->order == tree->order) {
next_tree = tree->next;
next_target = target->next;
while (target != NULL && root != NULL) {
if (target->order == root->order) {
next_tree = root->ptr.next_tree;
next_target = target->ptr.next_tree;
target = vieter_heap_tree_merge_same_order(target, tree);
target = vieter_heap_tree_merge_same_order(target, root);
target->next = next_target;
target->ptr.next_tree = next_target;
// If this merge produces a binomial tree whose size is already in
// target, it will be the next target. Therefore, we can merge target's
// trees until we no longer have a duplicate depth.
while (target->next != NULL && target->next->order == target->order) {
next_target = target->next->next;
target = vieter_heap_tree_merge_same_order(target, target->next);
target->next = next_target;
while (target->ptr.next_tree != NULL &&
target->ptr.next_tree->order == target->order) {
next_target = target->ptr.next_tree->ptr.next_tree;
target =
vieter_heap_tree_merge_same_order(target, target->ptr.next_tree);
target->ptr.next_tree = next_target;
}
if (previous_target != NULL) {
previous_target->next = target;
previous_target->ptr.next_tree = target;
} else {
out = target;
}
tree = next_tree;
} else if (target->order > tree->order) {
next_tree = tree->next;
root = next_tree;
} else if (target->order > root->order) {
next_tree = root->ptr.next_tree;
if (previous_target == NULL) {
previous_target = tree;
out = tree;
previous_target = root;
out = root;
} else {
previous_target->next = tree;
previous_target->ptr.next_tree = root;
}
tree->next = target;
tree = next_tree;
root->ptr.next_tree = target;
root = next_tree;
} else {
if (previous_target == NULL) {
out = target;
}
previous_target = target;
target = target->next;
target = target->ptr.next_tree;
}
}
// Append final part of tree to target
if (target == NULL) {
previous_target->next = tree;
previous_target->ptr.next_tree = root;
}
return out;
}
vieter_heap_tree *vieter_heap_tree_pop(vieter_heap_tree *tree) {
vieter_heap_node *vieter_heap_tree_pop(void **out, vieter_heap_node *tree) {
vieter_heap_node *tree_before_smallest = NULL;
vieter_heap_node *previous_tree = NULL;
vieter_heap_node *original_root = tree;
uint64_t smallest_key = tree->key;
while (tree->ptr.next_tree != NULL) {
previous_tree = tree;
tree = tree->ptr.next_tree;
if (tree->key < smallest_key) {
smallest_key = tree->key;
tree_before_smallest = previous_tree;
}
}
vieter_heap_node *tree_to_pop;
if (tree_before_smallest != NULL) {
tree_to_pop = tree_before_smallest->ptr.next_tree;
tree_before_smallest->ptr.next_tree = tree_to_pop->ptr.next_tree;
} else {
tree_to_pop = original_root;
original_root = original_root->ptr.next_tree;
}
*out = tree_to_pop->data;
if (tree_to_pop->order == 0) {
vieter_heap_tree_free(tree);
return original_root;
}
previous_tree = tree_to_pop->largest_order;
vieter_heap_node_free(tree_to_pop);
tree = previous_tree->ptr.next_largest_order;
previous_tree->ptr.next_tree = NULL;
vieter_heap_node *next_tree;
while (tree != NULL) {
next_tree = tree->ptr.next_largest_order;
tree->ptr.next_tree = previous_tree;
previous_tree = tree;
tree = next_tree;
}
return vieter_heap_tree_merge(original_root, previous_tree);
}

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@ -8,31 +8,29 @@ typedef struct vieter_heap_node {
uint64_t key;
void *data;
struct vieter_heap_node *largest_order;
struct vieter_heap_node *next_largest_order;
union {
struct vieter_heap_node *next_tree;
struct vieter_heap_node *next_largest_order;
} ptr;
uint8_t order;
} vieter_heap_node;
vieter_heap_node *vieter_heap_node_init();
void vieter_heap_node_free(vieter_heap_node *node);
typedef struct vieter_heap_tree {
uint8_t order;
vieter_heap_node *root;
struct vieter_heap_tree *next;
} vieter_heap_tree;
vieter_heap_tree *vieter_heap_tree_init(vieter_heap_node *root, vieter_heap_tree *next, uint8_t order);
/* vieter_heap_tree *vieter_heap_tree_init(vieter_heap_node *root, vieter_heap_tree *next, uint8_t order); */
/*
* Deallocate a tree object, along with its underlying tree structure.
*/
void vieter_heap_tree_free(vieter_heap_tree *tree);
void vieter_heap_tree_free(vieter_heap_node *root);
vieter_heap_tree *vieter_heap_tree_merge(vieter_heap_tree *tree_a, vieter_heap_tree *tree_b);
vieter_heap_node *vieter_heap_tree_merge(vieter_heap_node *root_a, vieter_heap_node *root_b);
vieter_heap_tree *vieter_heap_tree_merge_same_order(vieter_heap_tree *tree_a,
vieter_heap_tree *tree_b);
vieter_heap_node *vieter_heap_tree_merge_same_order(vieter_heap_node *root_a,
vieter_heap_node *root_b);
vieter_heap_tree *vieter_heap_tree_pop(vieter_heap_tree *tree);
vieter_heap_node *vieter_heap_tree_pop(void **out, vieter_heap_node *root);
#endif

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@ -16,18 +16,18 @@ void test_init() {
void test_merge_same_order() {
vieter_heap_node *root_a = vieter_heap_node_init();
root_a->key = 1;
vieter_heap_tree *tree_a = vieter_heap_tree_init(root_a, NULL, 1);
root_a->order = 0;
vieter_heap_node *root_b = vieter_heap_node_init();
root_b->key = 2;
vieter_heap_tree *tree_b = vieter_heap_tree_init(root_b, NULL, 1);
root_b->order = 0;
vieter_heap_tree *merged = vieter_heap_tree_merge_same_order(tree_a, tree_b);
vieter_heap_node *merged = vieter_heap_tree_merge_same_order(root_a, root_b);
TEST_CHECK(merged == tree_a);
TEST_CHECK(merged->root->key == 1);
TEST_CHECK(merged->root->largest_order == root_b);
TEST_CHECK(merged->root->next_largest_order == NULL);
TEST_CHECK(merged == root_a);
TEST_CHECK(merged->key == 1);
TEST_CHECK(merged->largest_order == root_b);
TEST_CHECK(merged->ptr.next_largest_order == NULL);
vieter_heap_tree_free(merged);
}
@ -59,7 +59,7 @@ void test_pop() {
for (uint64_t i = 50; i > 0; i--) {
vieter_heap_insert(heap, i, (void *)i);
TEST_SIZE(heap, (uint64_t)50 - i);
TEST_SIZE(heap, (uint64_t)51 - i);
TEST_CHECK(vieter_heap_peek(&data, heap) == vieter_heap_ok);
TEST_CHECK(data == (void*)i);
@ -80,5 +80,6 @@ TEST_LIST = {
{"init", test_init},
{"merge same order", test_merge_same_order},
{"insert", test_insert},
{"pop", test_pop},
{NULL, NULL}
};