Commit b1efa9c
Changed files (6)
src/03/07/README.md
@@ -1,4 +1,3 @@
-
Implement the `remove(u)` method, that removes the node `u` from a
`MeldableHeap`. This method should run in `O(log n)` expected time.
@@ -38,3 +37,7 @@ class MeldableHeap {
}
```
[Source](https://www.aupress.ca/app/uploads/120226_99Z_Morin_2013-Open_Data_Structures.pdf)
+
+
+
+An implementation of `meldable_heap_remove(u)` can be found in `./meldable_heap.c`.
src/03/avl_tree_test.c
@@ -383,12 +383,14 @@ TestSuite *graph_tests();
TestSuite *matrix_tests();
TestSuite *rb_tree_tests();
TestSuite *sort_tests();
+TestSuite *meldable_heap_tests();
int main(int argc, char **argv) {
TestSuite *suite = create_test_suite();
add_suite(suite, avl_tree_tests());
add_suite(suite, graph_tests());
add_suite(suite, matrix_tests());
+ add_suite(suite, meldable_heap_tests());
add_suite(suite, rb_tree_tests());
add_suite(suite, sort_tests());
return run_test_suite(suite, create_text_reporter());
src/03/Makefile
@@ -5,8 +5,8 @@ CC=clang
TEST_LIBS = -lcgreen
BUILDDIR := build
-OBJS := $(addprefix $(BUILDDIR)/,avl_tree.o rb_tree.o sort.o graph.o matrix.o)
-TEST_OBJS := $(addprefix $(BUILDDIR)/,avl_tree_test.o rb_tree_test.o sort_test.o graph_test.o matrix_test.o)
+OBJS := $(addprefix $(BUILDDIR)/,avl_tree.o rb_tree.o sort.o graph.o matrix.o meldable_heap.o)
+TEST_OBJS := $(addprefix $(BUILDDIR)/,avl_tree_test.o rb_tree_test.o sort_test.o graph_test.o matrix_test.o meldable_heap_test.o)
$(BUILDDIR)/%.o : %.c
$(COMPILE.c) $(OUTPUT_OPTION) $<
src/03/meldable_heap.c
@@ -0,0 +1,81 @@
+#include "meldable_heap.h"
+#include <stddef.h>
+#include <stdlib.h>
+#include <stdio.h>
+
+static int compare(int a, int b)
+{
+ return (a < b) ? -1 : ((a > b) ? 1 : 0);
+}
+
+static void print_tree(MeldableHeap *heap, int level) {
+ for (int i = 0; i < level; i++)
+ printf(" ");
+
+ if (heap) {
+ printf("(%d)\n", heap->value);
+
+ if (!heap->left && !heap->right)
+ return;
+ print_tree(heap->left, level + 1);
+ print_tree(heap->right, level + 1);
+ }
+ else {
+ printf("( )\n");
+ }
+}
+
+
+MeldableHeap *meldable_heap_initialize(int value) {
+ MeldableHeap *heap = malloc(sizeof(MeldableHeap));
+ heap->left = NULL;
+ heap->right = NULL;
+ heap->parent = NULL;
+ heap->value = value;
+ return heap;
+};
+
+MeldableHeap *meldable_heap_add(MeldableHeap *heap, int value) {
+ MeldableHeap *root = meldable_heap_merge(meldable_heap_initialize(value), heap);
+ root->parent = NULL;
+ return root;
+}
+
+MeldableHeap *meldable_heap_merge(MeldableHeap *h1, MeldableHeap* h2) {
+ if (h1 == NULL) return h2;
+ if (h2 == NULL) return h1;
+
+ if (compare(h2->value, h1->value) < 0)
+ return meldable_heap_merge(h2, h1);
+
+ if (rand() % 2 == 0) {
+ h1->left = meldable_heap_merge(h1->left, h2);
+ h1->left->parent = h1;
+ }
+ else {
+ h1->right = meldable_heap_merge(h1->right, h2);
+ h1->right->parent = h1;
+ }
+ return h1;
+}
+
+void meldable_heap_inspect(MeldableHeap *heap)
+{
+ print_tree(heap, 0);
+}
+
+void meldable_heap_remove(MeldableHeap *heap)
+{
+ MeldableHeap *replacement = meldable_heap_merge(heap->left, heap->right);
+
+ if (replacement)
+ replacement->parent = heap->parent;
+
+ if (!heap->parent)
+ return;
+
+ if (heap->parent->left == heap)
+ heap->parent->left = replacement;
+ else
+ heap->parent->right = replacement;
+}
src/03/meldable_heap.h
@@ -0,0 +1,12 @@
+typedef struct mnode {
+ struct mnode *left;
+ struct mnode *parent;
+ struct mnode *right;
+ int value;
+} MeldableHeap;
+
+MeldableHeap *meldable_heap_initialize(int value);
+MeldableHeap *meldable_heap_add(MeldableHeap *heap, int value);
+MeldableHeap *meldable_heap_merge(MeldableHeap *heap, MeldableHeap* other);
+void meldable_heap_inspect(MeldableHeap *heap);
+void meldable_heap_remove(MeldableHeap *heap);
src/03/meldable_heap_test.c
@@ -0,0 +1,103 @@
+#include "meldable_heap.h"
+#include <cgreen/cgreen.h>
+#include <string.h>
+
+Ensure(add_inserts_item_into_right_subtree) {
+ MeldableHeap *heap = meldable_heap_initialize(5);
+ heap = meldable_heap_add(heap, 3);
+
+ assert_that(heap->value, is_equal_to(3));
+ assert_that(heap->right->value, is_equal_to(5));
+}
+
+Ensure(add_inserts_item_into_left_subtree) {
+ MeldableHeap *heap = meldable_heap_initialize(5);
+ heap = meldable_heap_add(heap, 8);
+
+ assert_that(heap->value, is_equal_to(5));
+ assert_that(heap->right->value, is_equal_to(8));
+}
+
+/*
+ (1)
+ / \
+ (3) (2)
+ / \ / \
+ (10) (6) (7) (4)
+ / \ /
+ (9) (8)(5)
+*/
+Ensure(add_inserts_multiple_items_into_the_subtree) {
+ MeldableHeap *heap = NULL;
+
+ for (int i = 1; i <= 10; ++i)
+ heap = meldable_heap_add(heap, i);
+
+ assert_that(heap->value, is_equal_to(1));
+
+ assert_that(heap->right->value, is_equal_to(2));
+ assert_that(heap->right->right->value, is_equal_to(4));
+ assert_that(heap->right->right->left->value, is_equal_to(5));
+
+ assert_that(heap->right->left->value, is_equal_to(7));
+ assert_that(heap->right->left->left->value, is_equal_to(9));
+ assert_that(heap->right->left->right->value, is_equal_to(8));
+
+ assert_that(heap->left->value, is_equal_to(3));
+ assert_that(heap->left->left->value, is_equal_to(10));
+ assert_that(heap->left->right->value, is_equal_to(6));
+}
+
+/*
+ (1)
+ / \
+ (3) (2)
+ / \ / \
+ (10) (6) (7) (4)
+ / \ /
+ (9) (8)(5)
+
+ to
+
+ (1)
+ / \
+ (3) (2)
+ / \ / \
+ (10) (6) (4)
+ / \ /
+ (9) (8)(5)
+*/
+Ensure(remove_removes_the_node_from_the_tree) {
+ MeldableHeap *heap = NULL;
+
+ for (int i = 1; i <= 10; ++i)
+ heap = meldable_heap_add(heap, i);
+
+ meldable_heap_inspect(heap);
+ meldable_heap_remove(heap->right->left);
+ meldable_heap_inspect(heap);
+
+ assert_that(heap->value, is_equal_to(1));
+
+ assert_that(heap->right->value, is_equal_to(2));
+ assert_that(heap->right->right->value, is_equal_to(4));
+ assert_that(heap->right->right->left->value, is_equal_to(5));
+
+ assert_that(heap->right->left->value, is_equal_to(8));
+ assert_that(heap->right->left->left->value, is_equal_to(9));
+ assert_that(heap->right->left->right, is_equal_to(NULL));
+
+ assert_that(heap->left->value, is_equal_to(3));
+ assert_that(heap->left->left->value, is_equal_to(10));
+ assert_that(heap->left->right->value, is_equal_to(6));
+}
+
+TestSuite *meldable_heap_tests() {
+ TestSuite *x = create_test_suite();
+
+ add_test(x, add_inserts_item_into_right_subtree);
+ add_test(x, add_inserts_item_into_left_subtree);
+ add_test(x, add_inserts_multiple_items_into_the_subtree);
+ add_test(x, remove_removes_the_node_from_the_tree);
+ return x;
+}