dist-javascript-algorithms-and-data-structures
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Algorithms and data-structures implemented on JavaScript
171 lines (128 loc) • 4.56 kB
JavaScript
;
Object.defineProperty(exports, "__esModule", {
value: true
});
exports.default = void 0;
var _BinarySearchTree = _interopRequireDefault(require("../binary-search-tree/BinarySearchTree"));
function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { default: obj }; }
class AvlTree extends _BinarySearchTree.default {
/**
* @param {*} value
*/
insert(value) {
// Do the normal BST insert.
super.insert(value); // Let's move up to the root and check balance factors along the way.
let currentNode = this.root.find(value);
while (currentNode) {
this.balance(currentNode);
currentNode = currentNode.parent;
}
}
/**
* @param {*} value
* @return {boolean}
*/
remove(value) {
// Do standard BST removal.
super.remove(value); // Balance the tree starting from the root node.
this.balance(this.root);
}
/**
* @param {BinarySearchTreeNode} node
*/
balance(node) {
// If balance factor is not OK then try to balance the node.
if (node.balanceFactor > 1) {
// Left rotation.
if (node.left.balanceFactor > 0) {
// Left-Left rotation
this.rotateLeftLeft(node);
} else if (node.left.balanceFactor < 0) {
// Left-Right rotation.
this.rotateLeftRight(node);
}
} else if (node.balanceFactor < -1) {
// Right rotation.
if (node.right.balanceFactor < 0) {
// Right-Right rotation
this.rotateRightRight(node);
} else if (node.right.balanceFactor > 0) {
// Right-Left rotation.
this.rotateRightLeft(node);
}
}
}
/**
* @param {BinarySearchTreeNode} rootNode
*/
rotateLeftLeft(rootNode) {
// Detach left node from root node.
const leftNode = rootNode.left;
rootNode.setLeft(null); // Make left node to be a child of rootNode's parent.
if (rootNode.parent) {
rootNode.parent.setLeft(leftNode);
} else if (rootNode === this.root) {
// If root node is root then make left node to be a new root.
this.root = leftNode;
} // If left node has a right child then detach it and
// attach it as a left child for rootNode.
if (leftNode.right) {
rootNode.setLeft(leftNode.right);
} // Attach rootNode to the right of leftNode.
leftNode.setRight(rootNode);
}
/**
* @param {BinarySearchTreeNode} rootNode
*/
rotateLeftRight(rootNode) {
// Detach left node from rootNode since it is going to be replaced.
const leftNode = rootNode.left;
rootNode.setLeft(null); // Detach right node from leftNode.
const leftRightNode = leftNode.right;
leftNode.setRight(null); // Preserve leftRightNode's left subtree.
if (leftRightNode.left) {
leftNode.setRight(leftRightNode.left);
leftRightNode.setLeft(null);
} // Attach leftRightNode to the rootNode.
rootNode.setLeft(leftRightNode); // Attach leftNode as left node for leftRight node.
leftRightNode.setLeft(leftNode); // Do left-left rotation.
this.rotateLeftLeft(rootNode);
}
/**
* @param {BinarySearchTreeNode} rootNode
*/
rotateRightLeft(rootNode) {
// Detach right node from rootNode since it is going to be replaced.
const rightNode = rootNode.right;
rootNode.setRight(null); // Detach left node from rightNode.
const rightLeftNode = rightNode.left;
rightNode.setLeft(null);
if (rightLeftNode.right) {
rightNode.setLeft(rightLeftNode.right);
rightLeftNode.setRight(null);
} // Attach rightLeftNode to the rootNode.
rootNode.setRight(rightLeftNode); // Attach rightNode as right node for rightLeft node.
rightLeftNode.setRight(rightNode); // Do right-right rotation.
this.rotateRightRight(rootNode);
}
/**
* @param {BinarySearchTreeNode} rootNode
*/
rotateRightRight(rootNode) {
// Detach right node from root node.
const rightNode = rootNode.right;
rootNode.setRight(null); // Make right node to be a child of rootNode's parent.
if (rootNode.parent) {
rootNode.parent.setRight(rightNode);
} else if (rootNode === this.root) {
// If root node is root then make right node to be a new root.
this.root = rightNode;
} // If right node has a left child then detach it and
// attach it as a right child for rootNode.
if (rightNode.left) {
rootNode.setRight(rightNode.left);
} // Attach rootNode to the left of rightNode.
rightNode.setLeft(rootNode);
}
}
exports.default = AvlTree;