#include #include #include #include #include #include #include #include #include #include #include #define NR_BTREE_NODES 32 struct tree_node { btree_node_t base; unsigned int key; }; static int btree_comparator(struct tree_node *a, struct tree_node *b) { if (a->key > b->key) { return 1; } else if (a->key < b->key) { return -1; } else { return 0; } } //BTREE_DEFINE_SIMPLE_INSERT(struct tree_node, base, key, insert) BTREE_DEFINE_INSERT(struct tree_node, base, key, insert, btree_comparator); BTREE_DEFINE_SIMPLE_GET(struct tree_node, unsigned int, base, key, get); void tree_print(struct tree_node *node, int depth) { if (!node) { return; } tree_print(BTREE_CONTAINER(struct tree_node, base, btree_right(&node->base)), depth + 1); for (int i = 0; i < depth; i++) { fputs(" ", stdout); } printf("%u (h:%d)\n", node->key, btree_height(&node->base)); tree_print(BTREE_CONTAINER(struct tree_node, base, btree_left(&node->base)), depth + 1); } /* returns the height of the subtree rooted at node x, or -1 if one of these conditions is true: * - the calculated height of subtree x does not match the stored height value. * - the subtree is not a valid AVL tree. */ static int btree_avl_validate(btree_node_t *x) { if (!x) { return 0; } if (!x->b_left && !x->b_right) { return x->b_height == 1 ? 1 : -1; } int left = 0, right = 0; if (x->b_left) { left = btree_avl_validate(x->b_left); } if (x->b_right) { right = btree_avl_validate(x->b_right); } if (left == -1 || right == -1) { return -1; } int diff = right - left; if (diff > 1 || diff < -1) { return -1; } int height = 0; if (left > right) { height = left + 1; } else { height = right + 1; } if (height != x->b_height) { return -1; } return height; } static unsigned int alloc_unique_key(struct tree_node *nodes, size_t count) { while (1) { unsigned int k = (rand() % 8192) + 1; for (size_t i = 0; i < count; i++) { if (nodes[i].key == k) { continue; } } return k; } return (unsigned int)-1; } int btree_test(void) { btree_t tree = {}; struct tree_node *nodes = calloc(NR_BTREE_NODES, sizeof *nodes); for (int i = 0; i < NR_BTREE_NODES; i++) { nodes[i].key = alloc_unique_key(nodes, i); printf(" - node %d: %u\n", i, nodes[i].key); } int validation_result = 0; for (int i = 0; i < NR_BTREE_NODES; i++) { printf("#######################\n"); printf("inserting node #%d: %u\n", i, nodes[i].key); insert(&tree, &nodes[i]); tree_print(BTREE_CONTAINER(struct tree_node, base, tree.b_root), 0); printf("#######################\n"); validation_result = btree_avl_validate(tree.b_root); for (int ii = 0; ii < NR_BTREE_NODES; ii++) { struct tree_node *n = get(&tree, nodes[ii].key); if (ii <= i) { assert(n && n->key == nodes[ii].key); } else { assert(!n); } } assert(validation_result >= 1); } tree_print(BTREE_CONTAINER(struct tree_node, base, tree.b_root), 0); int result = btree_avl_validate(tree.b_root); printf("AVL tree height: %d\n", result); printf("in-order traversal:\n"); btree_foreach (struct tree_node, node, &tree, base) { printf(" - %u\n", node->key); } printf("reverse-order traversal:\n"); btree_foreach_r (struct tree_node, node, &tree, base) { printf(" - %u\n", node->key); } for (int i = 0; i < NR_BTREE_NODES; i++) { printf("#######################\n"); printf("deleting node #%d: %u\n", i, nodes[i].key); printf("#######################\n"); btree_delete(&tree, &nodes[i].base); tree_print(BTREE_CONTAINER(struct tree_node, base, tree.b_root), 0); for (int ii = 0; ii < NR_BTREE_NODES; ii++) { struct tree_node *n = get(&tree, nodes[ii].key); if (ii <= i) { assert(!n); } else { assert(n && n->key == nodes[ii].key); } } validation_result = btree_avl_validate(tree.b_root); assert(validation_result >= 0); } free(nodes); return 0; }