/* * Copyright © 2017 Faith Ekstrand * * Permission is hereby granted, free of charge, to any person obtaining a * copy of this software and associated documentation files (the "Software"), * to deal in the Software without restriction, including without limitation * the rights to use, copy, modify, merge, publish, distribute, sublicense, * and/or sell copies of the Software, and to permit persons to whom the * Software is furnished to do so, subject to the following conditions: * * The above copyright notice and this permission notice shall be included in * all copies or substantial portions of the Software. * * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER * DEALINGS IN THE SOFTWARE. */ #undef NDEBUG #include "rb_tree.h" #include #include #include #include "macros.h" /* A list of 100 random numbers from 1 to 100. The number 30 is explicitly * missing from this list. */ int test_numbers[] = { 26, 12, 35, 15, 48, 11, 39, 23, 40, 18, 39, 15, 40, 11, 42, 2, 5, 2, 28, 8, 10, 22, 23, 38, 47, 12, 31, 22, 26, 39, 9, 42, 32, 18, 36, 8, 32, 29, 9, 3, 32, 49, 23, 11, 43, 41, 22, 42, 6, 35, 38, 48, 5, 35, 39, 44, 22, 16, 16, 32, 31, 50, 48, 5, 50, 8, 2, 32, 27, 34, 42, 48, 22, 47, 10, 48, 39, 36, 28, 40, 32, 33, 21, 17, 14, 38, 27, 6, 25, 18, 32, 38, 19, 22, 20, 47, 50, 41, 29, 50, }; #define NON_EXISTANT_NUMBER 30 struct rb_test_node { int key; struct rb_node node; }; static int rb_test_node_cmp_void(const struct rb_node *n, const void *v) { struct rb_test_node *tn = rb_node_data(struct rb_test_node, n, node); return *(int *)v - tn->key; } static int rb_test_node_cmp(const struct rb_node *a, const struct rb_node *b) { struct rb_test_node *ta = rb_node_data(struct rb_test_node, a, node); struct rb_test_node *tb = rb_node_data(struct rb_test_node, b, node); return tb->key - ta->key; } static void validate_tree_order(struct rb_tree *tree, unsigned expected_count) { struct rb_test_node *prev = NULL; int max_val = -1; unsigned count = 0; rb_tree_foreach(struct rb_test_node, n, tree, node) { /* Everything should be in increasing order */ assert(n->key >= max_val); if (n->key > max_val) { max_val = n->key; } else { /* Things should be stable, i.e., given equal keys, they should * show up in the list in order of insertion. We insert them * in the order they are in in the array. */ assert(prev == NULL || prev < n); } prev = n; count++; } assert(count == expected_count); prev = NULL; max_val = -1; count = 0; rb_tree_foreach_safe(struct rb_test_node, n, tree, node) { /* Everything should be in increasing order */ assert(n->key >= max_val); if (n->key > max_val) { max_val = n->key; } else { /* Things should be stable, i.e., given equal keys, they should * show up in the list in order of insertion. We insert them * in the order they are in in the array. */ assert(prev == NULL || prev < n); } prev = n; count++; } assert(count == expected_count); prev = NULL; int min_val = INT_MAX; count = 0; rb_tree_foreach_rev(struct rb_test_node, n, tree, node) { /* Everything should be in increasing order */ assert(n->key <= min_val); if (n->key < min_val) { min_val = n->key; } else { /* Things should be stable, i.e., given equal keys, they should * show up in the list in order of insertion. We insert them * in the order they are in in the array. */ assert(prev == NULL || prev > n); } prev = n; count++; } assert(count == expected_count); prev = NULL; min_val = INT_MAX; count = 0; rb_tree_foreach_rev_safe(struct rb_test_node, n, tree, node) { /* Everything should be in increasing order */ assert(n->key <= min_val); if (n->key < min_val) { min_val = n->key; } else { /* Things should be stable, i.e., given equal keys, they should * show up in the list in order of insertion. We insert them * in the order they are in in the array. */ assert(prev == NULL || prev > n); } prev = n; count++; } assert(count == expected_count); } static void validate_search(struct rb_tree *tree, int first_number, int last_number) { struct rb_node *n; struct rb_test_node *tn; /* Search for all of the values */ for (int i = first_number; i <= last_number; i++) { n = rb_tree_search(tree, &test_numbers[i], rb_test_node_cmp_void); tn = rb_node_data(struct rb_test_node, n, node); assert(tn->key == test_numbers[i]); n = rb_tree_search_sloppy(tree, &test_numbers[i], rb_test_node_cmp_void); tn = rb_node_data(struct rb_test_node, n, node); assert(tn->key == test_numbers[i]); } int missing_key = NON_EXISTANT_NUMBER; n = rb_tree_search(tree, &missing_key, rb_test_node_cmp_void); assert(n == NULL); n = rb_tree_search_sloppy(tree, &missing_key, rb_test_node_cmp_void); if (rb_tree_is_empty(tree)) { assert(n == NULL); } else { assert(n != NULL); tn = rb_node_data(struct rb_test_node, n, node); assert(tn->key != missing_key); if (tn->key < missing_key) { struct rb_node *next = rb_node_next(n); if (next != NULL) { struct rb_test_node *tnext = rb_node_data(struct rb_test_node, next, node); assert(missing_key < tnext->key); } } else { struct rb_node *prev = rb_node_prev(n); if (prev != NULL) { struct rb_test_node *tprev = rb_node_data(struct rb_test_node, prev, node); assert(missing_key > tprev->key); } } } } TEST(RBTreeTest, InsertAndSearch) { struct rb_test_node nodes[ARRAY_SIZE(test_numbers)]; struct rb_tree tree; rb_tree_init(&tree); for (unsigned i = 0; i < ARRAY_SIZE(test_numbers); i++) { nodes[i].key = test_numbers[i]; rb_tree_insert(&tree, &nodes[i].node, rb_test_node_cmp); rb_tree_validate(&tree); validate_tree_order(&tree, i + 1); validate_search(&tree, 0, i); } for (unsigned i = 0; i < ARRAY_SIZE(test_numbers); i++) { rb_tree_remove(&tree, &nodes[i].node); rb_tree_validate(&tree); validate_tree_order(&tree, ARRAY_SIZE(test_numbers) - i - 1); validate_search(&tree, i + 1, ARRAY_SIZE(test_numbers) - 1); } } TEST(RBTreeTest, FindFirst) { struct rb_test_node nodes[100]; struct rb_tree tree; rb_tree_init(&tree); const int x = 13; for (unsigned i = 0; i < ARRAY_SIZE(nodes); i++) { nodes[i].key = x; rb_tree_insert(&tree, &nodes[i].node, rb_test_node_cmp); } struct rb_node *n = rb_tree_search(&tree, &x, rb_test_node_cmp_void); ASSERT_NE(nullptr, n); EXPECT_EQ(nullptr, rb_node_prev(n)); EXPECT_EQ(n, rb_tree_first(&tree)); } TEST(RBTreeTest, FindFirstOfMiddle) { struct rb_test_node nodes[3 * 33]; struct rb_tree tree; rb_tree_init(&tree); unsigned i; for (i = 0; i < ARRAY_SIZE(nodes) / 3; i++) { nodes[i].key = i * 13; rb_tree_insert(&tree, &nodes[i].node, rb_test_node_cmp); } const int x = i * 13; for (/* empty */; i < 2 * ARRAY_SIZE(nodes) / 3; i++) { nodes[i].key = x; rb_tree_insert(&tree, &nodes[i].node, rb_test_node_cmp); } for (/* empty */; i < ARRAY_SIZE(nodes); i++) { nodes[i].key = i * 13; rb_tree_insert(&tree, &nodes[i].node, rb_test_node_cmp); } struct rb_node *n = rb_tree_search(&tree, &x, rb_test_node_cmp_void); ASSERT_NE(nullptr, n); struct rb_node *prev = rb_node_prev(n); ASSERT_NE(nullptr, prev); EXPECT_NE(rb_test_node_cmp(prev, n), 0); } struct uinterval_test_node { struct uinterval_node node; }; static void validate_interval_search(struct rb_tree *tree, struct uinterval_test_node *nodes, int first_node, int last_node, unsigned start, unsigned end) { /* Count the number of intervals intersecting */ unsigned actual_count = 0; for (int i = first_node; i <= last_node; i++) { if (nodes[i].node.interval.start <= end && nodes[i].node.interval.end >= start) actual_count++; } /* iterate over matching intervals */ struct uinterval interval = { start, end }; unsigned max_val = 0; struct uinterval_test_node *prev = NULL; unsigned count = 0; uinterval_tree_foreach (struct uinterval_test_node, n, interval, tree, node) { assert(n->node.interval.start <= end && n->node.interval.end >= start); /* Everything should be in increasing order */ assert(n->node.interval.start >= max_val); if (n->node.interval.start > max_val) { max_val = n->node.interval.start; } else { /* Things should be stable, i.e., given equal keys, they should * show up in the list in order of insertion. We insert them * in the order they are in in the array. */ assert(prev == NULL || prev < n); } prev = n; count++; } assert(count == actual_count); } TEST(IntervalTreeTest, InsertAndSearch) { struct uinterval_test_node nodes[ARRAY_SIZE(test_numbers) / 2]; struct rb_tree tree; rb_tree_init(&tree); for (unsigned i = 0; 2 * i < ARRAY_SIZE(test_numbers); i++) { nodes[i].node.interval.start = MIN2(test_numbers[2 * i], test_numbers[2 * i + 1]); nodes[i].node.interval.end = MAX2(test_numbers[2 * i], test_numbers[2 * i + 1]); uinterval_tree_insert(&tree, &nodes[i].node); rb_tree_validate(&tree); validate_interval_search(&tree, nodes, 0, i, 0, 100); validate_interval_search(&tree, nodes, 0, i, 0, 50); validate_interval_search(&tree, nodes, 0, i, 50, 100); validate_interval_search(&tree, nodes, 0, i, 0, 2); } for (unsigned i = 0; 2 * i < ARRAY_SIZE(test_numbers); i++) { uinterval_tree_remove(&tree, &nodes[i].node); rb_tree_validate(&tree); validate_interval_search(&tree, nodes, i + 1, ARRAY_SIZE(test_numbers) / 2 - 1, 0, 100); validate_interval_search(&tree, nodes, i + 1, ARRAY_SIZE(test_numbers) / 2 - 1, 0, 50); validate_interval_search(&tree, nodes, i + 1, ARRAY_SIZE(test_numbers) / 2 - 1, 50, 100); validate_interval_search(&tree, nodes, i + 1, ARRAY_SIZE(test_numbers) / 2 - 1, 0, 2); } }