use data_forest::red_black_tree::RedBlackTree;
use proptest::prelude::*;
use std::collections::HashSet;
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_insert_contains(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
for &v in &values {
assert!(rbt.contains(&v));
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_insert_maintains_properties(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
assert!(rbt.is_valid_red_black_tree(), "RB properties violated after inserting {}", v);
assert!(rbt.is_valid_bst(), "BST property violated after inserting {}", v);
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_remove_check_min_max_updating(values in prop::collection::vec(any::<i32>(), 1..100)) {
let mut rbt = RedBlackTree::new();
let unique_values: Vec<i32> = values.iter().cloned().collect::<HashSet<_>>().into_iter().collect();
let mut remaining = unique_values.clone();
for &v in &values {
rbt.insert(v);
}
for &v in &values {
rbt.remove(&v);
remaining.retain(|&x| x != v);
assert!(!rbt.contains(&v));
assert_eq!(rbt.min(), remaining.iter().min());
assert_eq!(rbt.max(), remaining.iter().max());
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_remove_maintains_properties(values in prop::collection::vec(any::<i32>(), 1..100)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
for &v in &values {
rbt.remove(&v);
assert!(!rbt.contains(&v));
assert!(rbt.is_valid_red_black_tree(), "RB properties violated after removing {}", v);
assert!(rbt.is_valid_bst(), "BST property violated after removing {}", v);
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_min_check_updating(values in prop::collection::vec(any::<i32>(), 1..100)) {
let mut rbt = RedBlackTree::new();
let mut current_min = None;
for &v in &values {
rbt.insert(v);
current_min = Some(v)
.filter(|&x| current_min.is_none_or(|min| x < min))
.or(current_min);
assert_eq!(rbt.min(), current_min.as_ref());
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_max_check_updating(values in prop::collection::vec(any::<i32>(), 1..100)) {
let mut rbt = RedBlackTree::new();
let mut current_max = None;
for &v in &values {
rbt.insert(v);
current_max = Some(v)
.filter(|&x| current_max.is_none_or(|max| x > max))
.or(current_max);
assert_eq!(rbt.max(), current_max.as_ref());
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_max_min_are_similar_for_single_element_tree(value in any::<i32>()) {
let mut rbt = RedBlackTree::new();
rbt.insert(value);
assert!(rbt.min() == rbt.max() && rbt.min() == Some(&value));
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_height_is_logarithmic(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let unique_count = values.iter().collect::<HashSet<_>>().len();
if unique_count > 0 {
let max_height = 2.0 * ((unique_count + 1) as f64).log2().ceil();
assert!(rbt.height() as f64 <= max_height,
"Height {} exceeds maximum {} for {} unique elements",
rbt.height(), max_height, unique_count);
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_in_order_is_sorted(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let in_order = rbt.in_order();
for i in 1..in_order.len() {
assert!(in_order[i - 1] < in_order[i],
"In-order traversal is not sorted: {:?}", in_order);
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_pre_order(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let pre_order = rbt.pre_order();
let unique_count = values.iter().collect::<HashSet<_>>().len();
assert_eq!(pre_order.len(), unique_count);
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_post_order(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let post_order = rbt.post_order();
let unique_count = values.iter().collect::<HashSet<_>>().len();
assert_eq!(post_order.len(), unique_count);
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_level_order(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let level_order = rbt.level_order();
let unique_count = values.iter().collect::<HashSet<_>>().len();
assert_eq!(level_order.len(), unique_count);
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_number_of_elements(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
assert_eq!(rbt.number_of_elements(), values.iter().collect::<std::collections::HashSet<_>>().len());
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_ceil(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let unique_values: Vec<i32> = values.into_iter().collect::<HashSet<_>>().into_iter().collect();
for &v in &unique_values {
assert_eq!(rbt.ceil(&v), Some(&v));
}
let test_points = {
let mut points = Vec::new();
points.push(i32::MIN);
points.extend(unique_values.iter().cloned());
let mut sorted_values = unique_values.clone();
sorted_values.sort();
for window in sorted_values.windows(2) {
if window[1] > window[0] + 1 {
points.push(window[0] + 1);
}
}
points.push(i32::MAX);
points
};
for &i in &test_points {
let expected = unique_values.iter()
.filter(|&&x| x >= i)
.min()
.copied();
assert_eq!(rbt.ceil(&i), expected.as_ref());
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_floor(values in prop::collection::vec(any::<i32>(), 1..111)) {
let mut rbt = RedBlackTree::new();
for &v in &values {
rbt.insert(v);
}
let unique_values: Vec<i32> = values.into_iter().collect::<HashSet<_>>().into_iter().collect();
for &v in &unique_values {
assert_eq!(rbt.floor(&v), Some(&v));
}
let test_points = {
let mut points = Vec::new();
points.push(i32::MIN);
points.extend(unique_values.iter().cloned());
let mut sorted_values = unique_values.clone();
sorted_values.sort();
for window in sorted_values.windows(2) {
if window[1] > window[0] + 1 {
points.push(window[0] + 1);
}
}
points.push(i32::MAX);
points
};
for &i in &test_points {
let expected = unique_values.iter()
.filter(|&&x| x <= i)
.max()
.copied();
assert_eq!(rbt.floor(&i), expected.as_ref());
}
}
}
proptest! {
#![proptest_config(ProptestConfig {
cases: 111,
..ProptestConfig::default()
})]
#[test]
fn prop_sequential_insert_maintains_balance(n in 1usize..50) {
let mut rbt = RedBlackTree::new();
for i in 1..=n {
rbt.insert(i);
}
assert!(rbt.is_valid_red_black_tree());
assert!(rbt.is_valid_bst());
let max_height = 2.0 * ((n + 1) as f64).log2().ceil();
assert!(rbt.height() as f64 <= max_height);
}
}