Struct rudac::tree::AVL

pub struct AVL<K: Ord, V> { /* fields omitted */ }

An AVL tree is a self-balancing binary search tree. For lookup-intensive applications, AVL trees are faster than red–black trees because they are more strictly balanced

Examples

use rudac::tree::AVL;

// initialize an AVL tree with keys of type usize and values of type String
let mut avl_tree = AVL::<usize, String>::init();

// insert items into tree
avl_tree.insert(1, String::from("rudac"));
avl_tree.insert(2, String::from("is"));
avl_tree.insert(3, String::from("awesome"));
avl_tree.insert(4, String::from("!"));

// lookup for items
assert_eq!(*avl_tree.get(&1).unwrap(), String::from("rudac"));
assert_eq!(*avl_tree.get(&2).unwrap(), String::from("is"));
assert_eq!(*avl_tree.get(&3).unwrap(), String::from("awesome"));
assert_eq!(*avl_tree.get(&4).unwrap(), String::from("!"));

// delete items from tree
avl_tree.delete(&4);
assert_eq!(avl_tree.get(&4), None);

Implementations

impl<K: Ord, V> AVL<K, V>

pub fn init() -> AVL<K, V>

Initializes an empty AVL tree

Examples

use rudac::tree::AVL;

let usize_to_string = AVL::<usize, String>::init();

let string_to_usize = AVL::<String, usize>::init();

let string_to_string = AVL::<String, String>::init();

pub fn is_empty(&self) -> bool

Returns true if tree is empty and false otherwise

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();
assert_eq!(avl_tree.is_empty(), true);

avl_tree.insert(1,1);
assert_eq!(avl_tree.is_empty(), false);

avl_tree.delete(&1);
assert_eq!(avl_tree.is_empty(), true);

pub fn size(&self) -> usize

Returns total number of nodes in the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();
assert_eq!(avl_tree.size(), 0);

avl_tree.insert(1,1);
avl_tree.insert(2,4);
avl_tree.insert(3,8);
assert_eq!(avl_tree.size(), 3);

pub fn height(&self) -> i64

Returns the height of the tree. An empty tree has height -1 and a tree with one node has height 0

pub fn contains(&self, key: &K) -> bool

Returns true if tree contains the specified key, false otherwise

Arguments

• key: key to be searched in the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
assert_eq!(avl_tree.contains(&1), true);

avl_tree.delete(&1);
assert_eq!(avl_tree.contains(&1), false);

pub fn get(&self, key: &K) -> Option<&V>

Returns a reference to value associated with specified key in tree, None otherwise

Arguments

• key: key to be searched in the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
assert_eq!(*avl_tree.get(&1).unwrap(), 10);

avl_tree.delete(&1);
assert_eq!(avl_tree.get(&1), None);

pub fn insert(&mut self, key: K, value: V)

Insert a node which contains the specified key and value into the tree. if key already exists, this method will replace value as the new value of the node

Arguments

• key: key of the new node
• value: value associated with the key

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(2,20);
avl_tree.insert(3,30);
avl_tree.insert(4,40);
assert_eq!(*avl_tree.get(&1).unwrap(), 10);

avl_tree.insert(1,11);
assert_eq!(*avl_tree.get(&1).unwrap(), 11);

pub fn delete(&mut self, key: &K)

Deletes the node containing the specified key

Arguments

• key: key of the node to be deleted from the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(2,20);
avl_tree.insert(3,30);
avl_tree.insert(4,40);

avl_tree.delete(&1);
assert_eq!(avl_tree.get(&1), None);

pub fn delete_min(&mut self)

Deletes node with smallest key from the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(2,20);
avl_tree.insert(3,30);
avl_tree.insert(4,40);

avl_tree.delete_min();
assert_eq!(avl_tree.get(&1), None);


avl_tree.delete_min();
assert_eq!(avl_tree.get(&2), None);

pub fn delete_max(&mut self)

Deletes node with largest key from the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(2,20);
avl_tree.insert(3,30);
avl_tree.insert(4,40);

avl_tree.delete_max();
assert_eq!(avl_tree.get(&4), None);


avl_tree.delete_max();
assert_eq!(avl_tree.get(&3), None);

pub fn floor(&self, key: &K) -> Option<&K>

Returns the largest key in the tree less than or equal to key

Arguments

• key: key to be searched for

Examples:

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(3,20);
avl_tree.insert(5,30);
avl_tree.insert(7,40);

assert_eq!(*avl_tree.floor(&2).unwrap(), 1);
assert_eq!(avl_tree.floor(&0), None);

pub fn ceiling(&self, key: &K) -> Option<&K>

Returns the smallest key in the tree greater than or equal to key

Arguments

• key: key to be searched for

Examples:

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(3,20);
avl_tree.insert(5,30);
avl_tree.insert(7,40);

assert_eq!(*avl_tree.ceiling(&6).unwrap(), 7);
assert_eq!(avl_tree.ceiling(&8), None);

pub fn select(&self, k: usize) -> Option<(&K, &V)>

Returns the kth smallest key and its associated value in the tree

Arguments

• k: the order statistic

Panics

• panics if k is not in range: 0 <= k <= size - 1

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(3,20);
avl_tree.insert(5,30);
avl_tree.insert(7,40);

let (key, value) = avl_tree.select(1).unwrap();
assert_eq!(*key, 3);
assert_eq!(*value, 20);

pub fn min(&self) -> Option<(&K, &V)>

Returns the smallest key and its associated value in the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(3,20);
avl_tree.insert(5,30);
avl_tree.insert(7,40);

let (key, value) = avl_tree.min().unwrap();
assert_eq!(*key, 1);
assert_eq!(*value, 10);

avl_tree.delete_min();

let (key, value) = avl_tree.min().unwrap();
assert_eq!(*key, 3);
assert_eq!(*value, 20);

pub fn max(&self) -> Option<(&K, &V)>

Returns the largest key and its associated value in the tree

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize,usize>::init();

avl_tree.insert(1,10);
avl_tree.insert(3,20);
avl_tree.insert(5,30);
avl_tree.insert(7,40);

let (key, value) = avl_tree.max().unwrap();
assert_eq!(*key, 7);
assert_eq!(*value, 40);

avl_tree.delete_max();

let (key, value) = avl_tree.max().unwrap();
assert_eq!(*key, 5);
assert_eq!(*value, 30);

pub fn rank(&self, key: &K) -> usize

Returns the number of keys in the symbol table strictly less than key

Arguments

• key: key to be searched for

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize, usize>::init();

for i in 1..100 {
    avl_tree.insert(i, i);
}

assert_eq!(avl_tree.rank(&99), 98);

pub fn keys(&self) -> Vec<&K>

Returns all keys in the tree following an in-order traversal. Therefore keys are sorted from smallest to largest

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize, usize>::init();

for i in (1..100).rev() {
    avl_tree.insert(i, i);
}

let mut i = 1;
// keys are sorted: [1, 2, 3,..., 99]
for key in avl_tree.keys() {
    assert!(*key == i);
    i += 1;
}

pub fn keys_in_level_order(&self) -> Vec<&K>

Returns all keys in the tree following a level-order traversal

pub fn keys_between(&self, low_key: &K, high_key: &K) -> Vec<&K>

Returns all keys in the symbol table between low_key(inclusive) and high_key(exclusive)

Arguments

• low_key: lowest key of the range
• high_key: highest key of the range

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize, usize>::init();

for i in (1..100).rev() {
    avl_tree.insert(i, i);
}

let keys = avl_tree.keys_between(&1, &99);

assert_eq!(keys.len(), 98);

pub fn size_between(&self, low_key: &K, high_key: &K) -> usize

Returns the number of keys in the tree between low_key(inclusive) and high_key(exclusive)

Arguments

• low_key: lowest key of the range
• high_key: highest key of the range

Examples

use rudac::tree::AVL;

let mut avl_tree = AVL::<usize, usize>::init();

for i in (1..100).rev() {
    avl_tree.insert(i, i);
}

let keys = avl_tree.size_between(&1, &99);

assert_eq!(keys, 98);