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use crate::{Node, Side, ARRAY_SIZE};
use std::cmp::{
    max,
    Ordering::{self, Equal, Greater, Less},
};

impl<K: Default + Clone, V: Default + Clone> Node<K, V> {
    pub fn is_balanced(&mut self) -> bool {
        self.update_child_difference();
        self.child_difference < 2
    }
    pub fn balance(&mut self) {
        self.diff_balance();
        self.height_balance();
    }

    pub fn diff_balance(&mut self) {
        if !self.is_balanced() {
            let left_child = match &self.children[0] {
                None => 0,
                Some(child) => child.child_difference,
            };
            let right_child = match &self.children[1] {
                None => 0,
                Some(child) => child.child_difference,
            };

            let side: Option<Side> = match left_child.cmp(&right_child) {
                Less => Some(Side::Left),
                Equal => None,
                Greater => Some(Side::Right),
            };

            match side {
                None => {}
                Some(side) => self.single_rotation(side),
            }
        }
        // self.height_balance();
    }

    pub fn has_full_child(&self, index: (usize, usize)) -> (bool, bool) {
        // (bool.0 = has child, bool.1 = child is full)
        match &self.children[index.1] {
            None => (false, false),
            Some(child) => (child.children[index.0].is_some(), child.is_full()),
        }
    }

    pub fn single_rotation(&mut self, side: Side) {
        let index = match side {
            Side::Left => (0, 1),
            Side::Right => (1, 0),
        };

        self.children[index.0] = Some({
            let mut child = Node::new();
            child.items = self.take_items();
            child.children[index.0] = self.take_child(index.0);
            child.children_size[index.0] = self.take_child_size(index.0);
            child.update_child_difference();
            child
        });

        self.children_size[index.0] += ARRAY_SIZE;
        self.children_size[index.1] -= ARRAY_SIZE;

        match &self.has_full_child(index) {
            (false, _) => self.child_to_parent(index),
            (true, false) => {
                self.child_to_parent(index);
                self.children[index.0].as_deref_mut().unwrap().children[index.1] =
                    match self.children[index.1].as_deref_mut() {
                        None => None,
                        Some(child) => child.take_child(index.0),
                    };
                self.children_size[index.0] += match self.children[index.1].as_deref_mut() {
                    None => 0,
                    Some(child) => child.take_child_size(index.0),
                };

                self.update_child_difference()
            }
            (true, true) => {
                self.subchild_to_parent(index);
            }
        }
    }

    pub fn child_to_parent(&mut self, index: (usize, usize)) {
        self.items = self.children[index.1].as_deref_mut().unwrap().take_items();
        self.children[index.1] = self.children[index.1]
            .as_deref_mut()
            .unwrap()
            .take_child(index.1);
        match self.children[index.1].as_deref_mut() {
            None => {}
            Some(child) => child.update_child_difference(),
        };
        self.update_child_difference();
    }

    pub fn subchild_to_parent(&mut self, index: (usize, usize)) {
        (
            self.items,
            self.children[index.0].as_deref_mut().unwrap().children[index.1],
            self.children[index.0].as_deref_mut().unwrap().children_size[index.1],
            self.children[index.1].as_deref_mut().unwrap().children[index.0],
            self.children[index.1].as_deref_mut().unwrap().children_size[index.0],
        ) = match self.children[index.1].as_deref_mut().unwrap().children[index.0].as_deref_mut() {
            None => Default::default(),
            Some(child) => (
                child.take_items(),
                child.take_child(index.0),
                child.take_child_size(index.0),
                child.take_child(index.1),
                child.take_child_size(index.1),
            ),
        };

        self.children[index.1]
            .as_deref_mut()
            .unwrap()
            .update_child_difference();
        self.update_child_difference();
    }

    pub fn update_child_difference(&mut self) {
        let left = match &self.children[0] {
            Some(child) => {
                self.children_size[0] = child.items.iter().filter(|item| item.is_some()).count()
                    + child.children_size[0]
                    + child.children_size[1];
                if child.is_full() {
                    child.child_difference + 1
                } else {
                    0
                }
            }
            None => 0,
        };
        let right = match &self.children[1] {
            Some(child) => {
                self.children_size[1] = child.items.iter().filter(|item| item.is_some()).count()
                    + child.children_size[0]
                    + child.children_size[1];
                if child.is_full() {
                    child.child_difference + 1
                } else {
                    0
                }
            }
            None => 0,
        };
        self.child_difference = left.abs_diff(right);
    }

    pub fn height_balance(&mut self) {
        if !self.is_height_balanced() {
            match self.update_height_difference().1 {
                Less => self.double_rotation(Side::Left),
                Equal => {}
                Greater => self.double_rotation(Side::Right),
            }
        }
    }

    pub fn is_height_balanced(&mut self) -> bool {
        self.update_height();
        self.update_height_difference().0 < 2
    }

    pub fn update_height(&mut self) {
        let left = match &self.children[0] {
            None => 0,
            Some(child) => child.height + 1,
        };
        let right = match &self.children[1] {
            None => 0,
            Some(child) => child.height + 1,
        };
        self.height = max(left, right);
    }

    pub fn update_height_difference(&mut self) -> (u8, Ordering) {
        self.update_height();
        let left_height: u8 = match &self.children[0] {
            None => 0,
            Some(child) => child.height,
        };
        let right_height: u8 = match &self.children[1] {
            None => 0,
            Some(child) => child.height,
        };
        (
            left_height.abs_diff(right_height),
            left_height.cmp(&right_height),
        )
    }

    pub fn double_rotation(&mut self, side: Side) {
        let index = match side {
            Side::Left => (0, 1),
            Side::Right => (1, 0),
        };

        let new_child = {
            let mut node = Node::new();
            node.items = self.take_items();
            node.children[index.0] = self.take_child(index.0);
            node.children_size[index.0] = self.take_child_size(index.0);
            (node.children[index.1], node.children_size[index.1]) = {
                let node = self.children[index.1].as_deref_mut().unwrap();
                (node.take_child(index.0), node.take_child_size(index.0))
            };
            node.update_child_difference();
            node.update_height_difference();
            node
        };

        let mut node = self.take_child(index.1).unwrap();
        self.items = node.take_items();
        self.children[index.1] = node.take_child(index.1);
        self.children_size[index.1] = node.take_child_size(index.1);
        self.children[index.0] = Some(new_child);
        self.children_size[index.0] = match self.children[index.0].as_deref() {
            Some(node) => node.children_size[0] + node.children_size[1] + ARRAY_SIZE,
            None => 0,
        };
        self.update_child_difference();
        node.update_height_difference();
    }
}

//  The raw tree, with a single rotation
//
//               6:11
//              /    \
//            0:5    18:23
//                  /     \
//               12:17    30:35
//                       /     \
//                    24:29   36:41

//  The raw tree with a double rotation
//
//               18:23
//             /       \
//           6:11       30:35
//          /    \     /     \
//        0:5  12:17 24:29  36:41

//  The raw tree, with a single rotation
//
//               2
//              / \
//             1   4
//                / \
//               3   6
//                  / \
//                 5   7

//  The raw tree with a double rotation
//
//              4
//            /   \
//           2     6
//          / \   / \
//         1   3 5   7