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[rbtree] The first successful implementation of Red-Black Tree.
This commit is contained in:
Revone
parent
8ae9bd577c
commit
ed7ead3744
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@ -1048,6 +1048,26 @@ export class BinaryTree<V = any, N extends BinaryTreeNode<V, N> = BinaryTreeNode
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}
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}
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/**
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* The function `getSuccessor` returns the next node in a binary tree given a node `x`, or `null` if
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* `x` is the last node.
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* @param {N} x - N - a node in a binary tree
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* @returns The function `getSuccessor` returns a value of type `N` (the successor node), or `null`
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* if there is no successor, or `undefined` if the input `x` is `undefined`.
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*/
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getSuccessor(x: N): N | null | undefined{
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if (x.right) {
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return this.getLeftMost(x.right);
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}
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let y: N | null | undefined = x.parent;
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while (y && y && x === y.right) {
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x = y;
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y = y.parent;
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}
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return y;
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}
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// --- start additional methods ---
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/**
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@ -1,358 +1,426 @@
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import {BTNKey, RBColor, RBTreeNodeNested, RBTreeOptions} from '../../types';
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import {IBinaryTree} from '../../interfaces';
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import {BST, BSTNode} from './bst';
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export enum RBTNColor {BLACK, RED}
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export class RBTreeNode<V = any, N extends RBTreeNode<V, N> = RBTreeNodeNested<V>> extends BSTNode<V, N> {
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constructor(key: BTNKey, value?: V) {
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super(key, value);
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this.color = RBColor.RED;
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export class RBTreeNode {
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key: number = 0;
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parent: RBTreeNode;
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left: RBTreeNode;
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right: RBTreeNode;
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color: number = RBTNColor.BLACK;
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constructor() {
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this.parent = null as unknown as RBTreeNode;
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this.left = null as unknown as RBTreeNode;
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this.right = null as unknown as RBTreeNode;
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}
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color: RBColor;
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}
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export class RBTree<V, N extends RBTreeNode<V, N> = RBTreeNode<V, RBTreeNodeNested<V>>>
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extends BST<V, N>
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implements IBinaryTree<V, N> {
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constructor(options?: RBTreeOptions) {
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super(options);
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export class RedBlackTree {
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constructor() {
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this._NIL = new RBTreeNode();
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this.NIL.color = RBTNColor.BLACK;
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this.NIL.left = null as unknown as RBTreeNode;
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this.NIL.right = null as unknown as RBTreeNode;
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this._root = this.NIL;
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}
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override createNode(key: BTNKey, value?: V): N {
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return new RBTreeNode(key, value) as N;
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protected _root: RBTreeNode;
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get root(): RBTreeNode {
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return this._root;
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}
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// override add(keyOrNode: BTNKey | N | null, value?: V): N | null | undefined {
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// const inserted = super.add(keyOrNode, value);
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// if (inserted) this._fixInsertViolation(inserted);
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// return inserted;
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// }
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//
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// // Method for fixing insert violations in a red-black tree
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// protected _fixInsertViolation(node: N) {
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// while (node !== this.root! && node.color === RBColor.RED && node.parent!.color === RBColor.RED) {
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// const parent = node.parent!;
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// const grandparent = parent.parent!;
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// let uncle: N | null | undefined = null;
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//
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// if (parent === grandparent.left) {
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// uncle = grandparent.right;
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//
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// // Case 1: The uncle node is red
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// if (uncle && uncle.color === RBColor.RED) {
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// grandparent.color = RBColor.RED;
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// parent.color = RBColor.BLACK;
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// uncle.color = RBColor.BLACK;
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// node = grandparent;
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// } else {
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// // Case 2: The uncle node is black, and the current node is a right child
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// if (node === parent.right) {
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// this._rotateLeft(parent);
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// node = parent;
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// // Update parent reference
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// node.parent = grandparent;
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// parent.parent = node;
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// }
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//
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// // Case 3: The uncle node is black, and the current node is a left child
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// parent.color = RBColor.BLACK;
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// grandparent.color = RBColor.RED;
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// this._rotateRight(grandparent);
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// }
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// } else {
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// // Symmetric case: The parent is the right child of the grandparent
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// uncle = grandparent.left;
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//
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// // Case 1: The uncle node is red
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// if (uncle && uncle.color === RBColor.RED) {
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// grandparent.color = RBColor.RED;
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// parent.color = RBColor.BLACK;
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// uncle.color = RBColor.BLACK;
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// node = grandparent;
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// } else {
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// // Case 2: The uncle node is black, and the current node is a left child
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// if (node === parent.left) {
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// this._rotateRight(parent);
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// node = parent;
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// // Update parent reference
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// node.parent = grandparent;
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// parent.parent = node;
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// }
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//
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// // Case 3: The uncle node is black, and the current node is a right child
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// parent.color = RBColor.BLACK;
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// grandparent.color = RBColor.RED;
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// this._rotateLeft(grandparent);
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// }
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// }
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// }
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//
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// // The root node is always black
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// this.root!.color = RBColor.BLACK;
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// }
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//
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// // Left rotation operation
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// protected _rotateLeft(node: N) {
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// const rightChild = node.right;
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// node.right = rightChild!.left;
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//
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// if (rightChild!.left) {
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// rightChild!.left.parent = node;
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// }
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//
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// rightChild!.parent = node.parent;
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//
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// if (node === this.root) {
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// // @ts-ignore
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// this._setRoot(rightChild);
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// } else if (node === node.parent!.left) {
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// node.parent!.left = rightChild;
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// } else {
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// node.parent!.right = rightChild;
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// }
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//
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// rightChild!.left = node;
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// node.parent = rightChild;
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// }
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//
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// // Right rotation operation
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// protected _rotateRight(node: N) {
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// const leftChild = node.left;
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// node.left = leftChild!.right;
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//
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// if (leftChild!.right) {
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// leftChild!.right.parent = node;
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// }
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//
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// leftChild!.parent = node.parent;
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//
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// if (node === this.root) {
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// // @ts-ignore
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// this._setRoot(leftChild);
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// } else if (node === node.parent!.right) {
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// node.parent!.right = leftChild;
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// } else {
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// node.parent!.left = leftChild;
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// }
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//
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// leftChild!.right = node;
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// node.parent = leftChild;
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// }
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//
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// protected _isNodeRed(node: N | null | undefined): boolean {
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// return node ? node.color === RBColor.RED : false;
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// }
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//
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// // Find the sibling node
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// protected _findSibling(node: N): N | null | undefined {
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// if (!node.parent) {
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// return undefined;
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// }
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//
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// return node === node.parent.left ? node.parent.right : node.parent.left;
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// }
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//
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// // Remove a node
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// protected _removeNode(node: N, replacement: N | null | undefined): void {
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// if (node === this.root && !replacement) {
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// // If there's only the root node and no replacement, simply delete the root node
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// this._setRoot(null);
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// } else if (node === this.root || this._isNodeRed(node)) {
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// // If the node is the root or a red node, delete it directly
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// if (node.parent!.left === node) {
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// node.parent!.left = replacement;
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// } else {
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// node.parent!.right = replacement;
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// }
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//
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// if (replacement) {
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// replacement.parent = node.parent!;
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// replacement.color = RBColor.BLACK; // Set the replacement node's color to black
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// }
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// } else {
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// // If the node is a black node, perform removal and repair
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// const sibling = this._findSibling(node);
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//
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// if (node.parent!.left === node) {
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// node.parent!.left = replacement;
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// } else {
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// node.parent!.right = replacement;
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// }
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//
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// if (replacement) {
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// replacement.parent = node.parent;
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// }
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//
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// if (!this._isNodeRed(sibling)) {
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// // If the sibling node is black, perform repair
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// this._fixDeleteViolation(replacement || node);
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// }
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// }
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//
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// if (node.parent) {
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// node.parent = null;
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// }
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// node.left = null;
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// node.right = null;
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// }
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//
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// override delete(keyOrNode: BTNKey | N): BinaryTreeDeletedResult<N>[] {
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// const node = this.get(keyOrNode);
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// const result: BinaryTreeDeletedResult<N>[] = [{deleted: undefined, needBalanced: null}];
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// if (!node) return result; // Node does not exist
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//
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// const replacement = this._getReplacementNode(node);
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//
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// const isRed = this._isNodeRed(node);
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// const isRedReplacement = this._isNodeRed(replacement);
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//
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// // Remove the node
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// this._removeNode(node, replacement);
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//
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// if (isRed || isRedReplacement) {
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// // If the removed node is red or the replacement node is red, no repair is needed
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// return result;
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// }
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//
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// // Repair any violation introduced by the removal
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// this._fixDeleteViolation(replacement);
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//
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// return result;
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// }
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//
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// // Repair operation after node deletion
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// protected _fixDeleteViolation(node: N | null | undefined) {
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// let sibling;
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//
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// while (node && node !== this.root && !this._isNodeRed(node)) {
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// if (node === node.parent!.left) {
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// sibling = node.parent!.right;
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//
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// if (sibling && this._isNodeRed(sibling)) {
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// // Case 1: The sibling node is red
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// sibling.color = RBColor.BLACK;
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// node.parent!.color = RBColor.RED;
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// this._rotateLeft(node.parent!);
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// sibling = node.parent!.right;
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// }
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//
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// if (!sibling) return;
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//
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// if (
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// (!sibling.left || sibling.left.color === RBColor.BLACK) &&
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// (!sibling.right || sibling.right.color === RBColor.BLACK)
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// ) {
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// // Case 2: The sibling node and its children are all black
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// sibling.color = RBColor.RED;
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// node = node.parent!;
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// } else {
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// if (!(sibling.right && this._isNodeRed(sibling.right))) {
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// // Case 3: The sibling node is black, and the left child is red, the right child is black
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// sibling.left!.color = RBColor.BLACK;
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// sibling.color = RBColor.RED;
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// this._rotateRight(sibling);
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// sibling = node.parent!.right;
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// }
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//
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// // Case 4: The sibling node is black, and the right child is red
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// if (sibling) {
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// sibling.color = node.parent!.color;
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// }
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// if (node.parent) {
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// node.parent.color = RBColor.BLACK;
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// }
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// if (sibling!.right) {
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// sibling!.right.color = RBColor.BLACK;
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// }
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// this._rotateLeft(node.parent!);
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// node = this.root;
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// }
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// } else {
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// // Symmetric case: The parent is the right child of the grandparent
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// sibling = node.parent!.left;
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//
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// if (sibling && this._isNodeRed(sibling)) {
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// // Case 1: The sibling node is red
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// sibling.color = RBColor.BLACK;
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// node.parent!.color = RBColor.RED;
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// this._rotateRight(node.parent!);
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// sibling = node.parent!.left;
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// }
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//
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// if (!sibling) return;
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//
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// if (
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// (!sibling.left || sibling.left.color === RBColor.BLACK) &&
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// (!sibling.right || sibling.right.color === RBColor.BLACK)
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// ) {
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// // Case 2: The sibling node and its children are all black
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// sibling.color = RBColor.RED;
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// node = node.parent!;
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// } else {
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// if (!(sibling.left && this._isNodeRed(sibling.left))) {
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// // Case 3: The sibling node is black, and the right child is red, the left child is black
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// sibling.right!.color = RBColor.BLACK;
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// sibling.color = RBColor.RED;
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// this._rotateLeft(sibling);
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// sibling = node.parent!.left;
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// }
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//
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// // Case 4: The sibling node is black, and the left child is red
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// if (sibling) {
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// sibling.color = node.parent!.color;
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// }
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// if (node.parent) {
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// node.parent.color = RBColor.BLACK;
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// }
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// if (sibling!.left) {
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// sibling!.left.color = RBColor.BLACK;
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// }
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// this._rotateRight(node.parent!);
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// node = this.root;
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// }
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// }
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// }
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//
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// if (node) {
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// node.color = RBColor.BLACK;
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// }
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// }
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//
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// protected _findMin(node: N): N {
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// while (node.left) {
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// node = node.left;
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// }
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// return node;
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// }
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//
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// // Get the replacement node
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// protected _getReplacementNode(node: N): N | null | undefined {
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// if (node.left && node.right) {
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// return this._findSuccessor(node);
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// }
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//
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// if (!node.left && !node.right) {
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// return null; // Return a fake node with color black
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// }
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//
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// return node.left || node.right;
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// }
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//
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// // Find the successor node
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// protected _findSuccessor(node: N): N | null | undefined {
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// if (node.right) {
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// // If the node has a right child, find the minimum node in the right subtree as the successor
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// return this._findMin(node.right);
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// }
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//
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// // Otherwise, traverse upward until finding the first parent whose left child is the current node
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// let parent = node.parent;
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// while (parent && node === parent.right) {
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// node = parent;
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// parent = parent.parent;
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// }
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//
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// return parent;
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// }
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}
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protected _NIL: RBTreeNode;
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get NIL(): RBTreeNode {
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return this._NIL;
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}
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/**
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* The `insert` function inserts a new node with a given key into a red-black tree and fixes any
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* violations of the red-black tree properties.
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* @param {number} key - The key parameter is a number that represents the value to be inserted into
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* the RBTree.
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* @returns The function does not explicitly return anything.
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*/
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insert(key: number): void {
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const node: RBTreeNode = new RBTreeNode();
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node.parent = null as unknown as RBTreeNode;
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node.key = key;
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node.left = this.NIL;
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node.right = this.NIL;
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node.color = RBTNColor.RED;
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let y: RBTreeNode = null as unknown as RBTreeNode;
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let x: RBTreeNode = this.root;
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while (x !== this.NIL) {
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y = x;
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if (node.key < x.key) {
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x = x.left;
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} else {
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x = x.right;
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}
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}
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node.parent = y;
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if (y === null) {
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this._root = node;
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} else if (node.key < y.key) {
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y.left = node;
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} else {
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y.right = node;
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}
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if (node.parent === null) {
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node.color = RBTNColor.BLACK;
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return;
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}
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if (node.parent.parent === null) {
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return;
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}
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this._fixInsert(node);
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}
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/**
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* The `delete` function in TypeScript is used to remove a node with a specific key from a red-black
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* tree.
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* @param {RBTreeNode} node - The `node` parameter is of type `RBTreeNode` and represents the current
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* node being processed in the delete operation.
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* @returns The `delete` function does not return anything. It has a return type of `void`.
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*/
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delete(key: number): void {
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const helper = (node: RBTreeNode): void => {
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let z: RBTreeNode = this.NIL;
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let x: RBTreeNode, y: RBTreeNode;
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while (node !== this.NIL) {
|
||||
if (node.key === key) {
|
||||
z = node;
|
||||
}
|
||||
|
||||
if (node.key <= key) {
|
||||
node = node.right;
|
||||
} else {
|
||||
node = node.left;
|
||||
}
|
||||
}
|
||||
|
||||
if (z === this.NIL) {
|
||||
console.log("Couldn't find key in the tree");
|
||||
return;
|
||||
}
|
||||
|
||||
y = z;
|
||||
let yOriginalColor: number = y.color;
|
||||
if (z.left === this.NIL) {
|
||||
x = z.right;
|
||||
this._rbTransplant(z, z.right);
|
||||
} else if (z.right === this.NIL) {
|
||||
x = z.left;
|
||||
this._rbTransplant(z, z.left);
|
||||
} else {
|
||||
y = this.getLeftMost(z.right);
|
||||
yOriginalColor = y.color;
|
||||
x = y.right;
|
||||
if (y.parent === z) {
|
||||
x.parent = y;
|
||||
} else {
|
||||
this._rbTransplant(y, y.right);
|
||||
y.right = z.right;
|
||||
y.right.parent = y;
|
||||
}
|
||||
|
||||
this._rbTransplant(z, y);
|
||||
y.left = z.left;
|
||||
y.left.parent = y;
|
||||
y.color = z.color;
|
||||
}
|
||||
if (yOriginalColor === 0) {
|
||||
this.fixDelete(x);
|
||||
}
|
||||
}
|
||||
helper(this.root);
|
||||
}
|
||||
|
||||
/**
|
||||
* The function `getNode` is a recursive depth-first search algorithm that searches for a node with a
|
||||
* given key in a red-black tree.
|
||||
* @param {number} key - The key parameter is a number that represents the value we are searching for
|
||||
* in the RBTree.
|
||||
* @param beginRoot - The `beginRoot` parameter is an optional parameter that represents the starting
|
||||
* point for the search in the binary search tree. If no value is provided for `beginRoot`, it
|
||||
* defaults to the root of the binary search tree (`this.root`).
|
||||
* @returns a RBTreeNode.
|
||||
*/
|
||||
getNode(key: number, beginRoot = this.root): RBTreeNode {
|
||||
const dfs = (node: RBTreeNode): RBTreeNode => {
|
||||
if (node === this.NIL || key === node.key) {
|
||||
return node;
|
||||
}
|
||||
|
||||
if (key < node.key) {
|
||||
return dfs(node.left);
|
||||
}
|
||||
return dfs(node.right);
|
||||
}
|
||||
return dfs(beginRoot);
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
* The function returns the leftmost node in a red-black tree.
|
||||
* @param {RBTreeNode} node - The parameter "node" is of type RBTreeNode, which represents a node in
|
||||
* a Red-Black Tree.
|
||||
* @returns The leftmost node in the given RBTreeNode.
|
||||
*/
|
||||
getLeftMost(node: RBTreeNode): RBTreeNode {
|
||||
while (node.left !== null && node.left !== this.NIL) {
|
||||
node = node.left;
|
||||
}
|
||||
return node;
|
||||
}
|
||||
|
||||
|
||||
/**
|
||||
* The function returns the rightmost node in a red-black tree.
|
||||
* @param {RBTreeNode} node - The parameter "node" is of type RBTreeNode.
|
||||
* @returns the rightmost node in a red-black tree.
|
||||
*/
|
||||
getRightMost(node: RBTreeNode): RBTreeNode {
|
||||
while (node.right !== null && node.right !== this.NIL) {
|
||||
node = node.right;
|
||||
}
|
||||
return node;
|
||||
}
|
||||
|
||||
/**
|
||||
* The function returns the successor of a given node in a red-black tree.
|
||||
* @param {RBTreeNode} x - RBTreeNode - The node for which we want to find the successor.
|
||||
* @returns the successor of the given RBTreeNode.
|
||||
*/
|
||||
getSuccessor(x: RBTreeNode): RBTreeNode {
|
||||
|
||||
if (x.right !== this.NIL) {
|
||||
return this.getLeftMost(x.right);
|
||||
}
|
||||
|
||||
let y: RBTreeNode = x.parent;
|
||||
while (y !== this.NIL && y !== null && x === y.right) {
|
||||
x = y;
|
||||
y = y.parent;
|
||||
}
|
||||
return y;
|
||||
}
|
||||
|
||||
/**
|
||||
* The function returns the predecessor of a given node in a red-black tree.
|
||||
* @param {RBTreeNode} x - The parameter `x` is of type `RBTreeNode`, which represents a node in a
|
||||
* Red-Black Tree.
|
||||
* @returns the predecessor of the given RBTreeNode 'x'.
|
||||
*/
|
||||
getPredecessor(x: RBTreeNode): RBTreeNode {
|
||||
|
||||
if (x.left !== this.NIL) {
|
||||
return this.getRightMost(x.left);
|
||||
}
|
||||
|
||||
let y: RBTreeNode = x.parent;
|
||||
while (y !== this.NIL && x === y.left) {
|
||||
x = y;
|
||||
y = y.parent;
|
||||
}
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
/**
|
||||
* The function performs a left rotation on a red-black tree node.
|
||||
* @param {RBTreeNode} x - The parameter `x` is a RBTreeNode object.
|
||||
*/
|
||||
protected _leftRotate(x: RBTreeNode): void {
|
||||
const y: RBTreeNode = x.right;
|
||||
x.right = y.left;
|
||||
if (y.left !== this.NIL) {
|
||||
y.left.parent = x;
|
||||
}
|
||||
y.parent = x.parent;
|
||||
if (x.parent === null) {
|
||||
this._root = y;
|
||||
} else if (x === x.parent.left) {
|
||||
x.parent.left = y;
|
||||
} else {
|
||||
x.parent.right = y;
|
||||
}
|
||||
y.left = x;
|
||||
x.parent = y;
|
||||
}
|
||||
|
||||
/**
|
||||
* The function performs a right rotation on a red-black tree node.
|
||||
* @param {RBTreeNode} x - x is a RBTreeNode, which represents the node that needs to be right
|
||||
* rotated.
|
||||
*/
|
||||
protected _rightRotate(x: RBTreeNode): void {
|
||||
const y: RBTreeNode = x.left;
|
||||
x.left = y.right;
|
||||
if (y.right !== this.NIL) {
|
||||
y.right.parent = x;
|
||||
}
|
||||
y.parent = x.parent;
|
||||
if (x.parent === null) {
|
||||
this._root = y;
|
||||
} else if (x === x.parent.right) {
|
||||
x.parent.right = y;
|
||||
} else {
|
||||
x.parent.left = y;
|
||||
}
|
||||
y.right = x;
|
||||
x.parent = y;
|
||||
}
|
||||
|
||||
/**
|
||||
* The fixDelete function is used to rebalance the Red-Black Tree after a node deletion.
|
||||
* @param {RBTreeNode} x - The parameter `x` is of type `RBTreeNode`, which represents a node in a
|
||||
* red-black tree.
|
||||
*/
|
||||
protected fixDelete(x: RBTreeNode): void {
|
||||
let s: RBTreeNode;
|
||||
while (x !== this.root && x.color === 0) {
|
||||
if (x === x.parent.left) {
|
||||
s = x.parent.right;
|
||||
if (s.color === 1) {
|
||||
|
||||
s.color = RBTNColor.BLACK;
|
||||
x.parent.color = RBTNColor.RED;
|
||||
this._leftRotate(x.parent);
|
||||
s = x.parent.right;
|
||||
}
|
||||
|
||||
if (s.left.color === 0 && s.right.color === 0) {
|
||||
|
||||
s.color = RBTNColor.RED;
|
||||
x = x.parent;
|
||||
} else {
|
||||
if (s.right.color === 0) {
|
||||
|
||||
s.left.color = RBTNColor.BLACK;
|
||||
s.color = RBTNColor.RED;
|
||||
this._rightRotate(s);
|
||||
s = x.parent.right;
|
||||
}
|
||||
|
||||
s.color = x.parent.color;
|
||||
x.parent.color = RBTNColor.BLACK;
|
||||
s.right.color = RBTNColor.BLACK;
|
||||
this._leftRotate(x.parent);
|
||||
x = this.root;
|
||||
}
|
||||
} else {
|
||||
s = x.parent.left;
|
||||
if (s.color === 1) {
|
||||
|
||||
s.color = RBTNColor.BLACK;
|
||||
x.parent.color = RBTNColor.RED;
|
||||
this._rightRotate(x.parent);
|
||||
s = x.parent.left;
|
||||
}
|
||||
|
||||
if (s.right.color === 0 && s.right.color === 0) {
|
||||
|
||||
s.color = RBTNColor.RED;
|
||||
x = x.parent;
|
||||
} else {
|
||||
if (s.left.color === 0) {
|
||||
|
||||
s.right.color = RBTNColor.BLACK;
|
||||
s.color = RBTNColor.RED;
|
||||
this._leftRotate(s);
|
||||
s = x.parent.left;
|
||||
}
|
||||
|
||||
s.color = x.parent.color;
|
||||
x.parent.color = RBTNColor.BLACK;
|
||||
s.left.color = RBTNColor.BLACK;
|
||||
this._rightRotate(x.parent);
|
||||
x = this.root;
|
||||
}
|
||||
}
|
||||
}
|
||||
x.color = RBTNColor.BLACK;
|
||||
}
|
||||
|
||||
/**
|
||||
* The function `_rbTransplant` replaces one node in a red-black tree with another node.
|
||||
* @param {RBTreeNode} u - The parameter "u" represents a RBTreeNode object.
|
||||
* @param {RBTreeNode} v - The parameter "v" is a RBTreeNode object.
|
||||
*/
|
||||
protected _rbTransplant(u: RBTreeNode, v: RBTreeNode): void {
|
||||
if (u.parent === null) {
|
||||
this._root = v;
|
||||
} else if (u === u.parent.left) {
|
||||
u.parent.left = v;
|
||||
} else {
|
||||
u.parent.right = v;
|
||||
}
|
||||
v.parent = u.parent;
|
||||
}
|
||||
|
||||
/**
|
||||
* The `_fixInsert` function is used to fix the red-black tree after an insertion operation.
|
||||
* @param {RBTreeNode} k - The parameter `k` is a RBTreeNode object, which represents a node in a
|
||||
* red-black tree.
|
||||
*/
|
||||
protected _fixInsert(k: RBTreeNode): void {
|
||||
let u: RBTreeNode;
|
||||
while (k.parent.color === 1) {
|
||||
if (k.parent === k.parent.parent.right) {
|
||||
u = k.parent.parent.left;
|
||||
if (u.color === 1) {
|
||||
|
||||
u.color = RBTNColor.BLACK;
|
||||
k.parent.color = RBTNColor.BLACK;
|
||||
k.parent.parent.color = RBTNColor.RED;
|
||||
k = k.parent.parent;
|
||||
} else {
|
||||
if (k === k.parent.left) {
|
||||
|
||||
k = k.parent;
|
||||
this._rightRotate(k);
|
||||
}
|
||||
|
||||
k.parent.color = RBTNColor.BLACK;
|
||||
k.parent.parent.color = RBTNColor.RED;
|
||||
this._leftRotate(k.parent.parent);
|
||||
}
|
||||
} else {
|
||||
u = k.parent.parent.right;
|
||||
|
||||
if (u.color === 1) {
|
||||
|
||||
u.color = RBTNColor.BLACK;
|
||||
k.parent.color = RBTNColor.BLACK;
|
||||
k.parent.parent.color = RBTNColor.RED;
|
||||
k = k.parent.parent;
|
||||
} else {
|
||||
if (k === k.parent.right) {
|
||||
|
||||
k = k.parent;
|
||||
this._leftRotate(k);
|
||||
}
|
||||
|
||||
k.parent.color = RBTNColor.BLACK;
|
||||
k.parent.parent.color = RBTNColor.RED;
|
||||
this._rightRotate(k.parent.parent);
|
||||
}
|
||||
}
|
||||
if (k === this.root) {
|
||||
break;
|
||||
}
|
||||
}
|
||||
this.root.color = RBTNColor.BLACK;
|
||||
}
|
||||
}
|
||||
|
|
@ -1,109 +1,136 @@
|
|||
import {RBTree, RBTreeNode} from '../../../../src';
|
||||
import { RedBlackTree, RBTreeNode } from '../../../../src';
|
||||
|
||||
describe('RBTreeNode', () => {
|
||||
it('should create an instance of RBTreeNode', () => {
|
||||
const node = new RBTreeNode<number>(1);
|
||||
expect(node).toBeInstanceOf(RBTreeNode);
|
||||
});
|
||||
|
||||
it('should set and get the ID correctly', () => {
|
||||
const node = new RBTreeNode<number>(1);
|
||||
expect(node.key).toBe(1);
|
||||
|
||||
node.key = 2;
|
||||
expect(node.key).toBe(2);
|
||||
});
|
||||
|
||||
it('should set and get the value correctly', () => {
|
||||
const node: RBTreeNode<number> = new RBTreeNode<number>(1, 42);
|
||||
expect(node.value).toBe(42);
|
||||
|
||||
node.value = 55;
|
||||
expect(node.value).toBe(55);
|
||||
});
|
||||
|
||||
it('should set and get the left child correctly', () => {
|
||||
const node1 = new RBTreeNode<number>(1);
|
||||
const node2 = new RBTreeNode<number>(2);
|
||||
|
||||
node1.left = node2;
|
||||
|
||||
expect(node1.left).toBe(node2);
|
||||
expect(node2.parent).toBe(node1);
|
||||
});
|
||||
|
||||
it('should set and get the right child correctly', () => {
|
||||
const node1 = new RBTreeNode<number>(1);
|
||||
const node2 = new RBTreeNode<number>(2);
|
||||
|
||||
node1.right = node2;
|
||||
|
||||
expect(node1.right).toBe(node2);
|
||||
expect(node2.parent).toBe(node1);
|
||||
});
|
||||
|
||||
it('should set and get the parent correctly', () => {
|
||||
const node1 = new RBTreeNode<number>(1);
|
||||
const node2 = new RBTreeNode<number>(2);
|
||||
|
||||
node1.left = node2;
|
||||
|
||||
expect(node2.parent).toBe(node1);
|
||||
expect(node1.left).toBe(node2);
|
||||
});
|
||||
|
||||
it('should determine family position correctly', () => {
|
||||
const root = new RBTreeNode<number>(1);
|
||||
const leftChild = new RBTreeNode<number>(2);
|
||||
const rightChild = new RBTreeNode<number>(3);
|
||||
|
||||
root.left = leftChild;
|
||||
root.right = rightChild;
|
||||
|
||||
expect(leftChild.familyPosition).toBe('LEFT');
|
||||
expect(rightChild.familyPosition).toBe('RIGHT');
|
||||
expect(root.familyPosition).toBe('ROOT');
|
||||
});
|
||||
});
|
||||
|
||||
describe('Red-Black Tree Tests', () => {
|
||||
let tree: RBTree<RBTreeNode<number>>;
|
||||
describe('RedBlackTree', () => {
|
||||
let tree: RedBlackTree;
|
||||
|
||||
beforeEach(() => {
|
||||
tree = new RBTree<RBTreeNode<number>>();
|
||||
tree = new RedBlackTree();
|
||||
});
|
||||
|
||||
test('Insertion and In-order Traverse', () => {
|
||||
tree.add(5);
|
||||
// tree.add(3);
|
||||
// tree.add(7);
|
||||
// tree.add(2);
|
||||
// tree.add(4);
|
||||
// tree.add(6);
|
||||
// tree.add(8);
|
||||
//
|
||||
// const inOrderTraverse: number[] = tree.DFS('in')
|
||||
//
|
||||
// expect(inOrderTraverse).toEqual([2, 3, 4, 5, 6, 7, 8]);
|
||||
describe('insert and getNode', () => {
|
||||
test('should insert and find a node in the tree', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
|
||||
expect(tree.getNode(10)).toBeInstanceOf(RBTreeNode);
|
||||
expect(tree.getNode(20)).toBeInstanceOf(RBTreeNode);
|
||||
expect(tree.getNode(5)).toBeInstanceOf(RBTreeNode);
|
||||
expect(tree.getNode(15)).toBe(tree.NIL);
|
||||
});
|
||||
|
||||
test('should insert and find nodes with negative keys', () => {
|
||||
tree.insert(-10);
|
||||
tree.insert(-20);
|
||||
|
||||
expect(tree.getNode(-10)).toBeInstanceOf(RBTreeNode);
|
||||
expect(tree.getNode(-20)).toBeInstanceOf(RBTreeNode);
|
||||
});
|
||||
});
|
||||
|
||||
test('Deletion', () => {
|
||||
// tree.add(5);
|
||||
// tree.add(3);
|
||||
// tree.add(7);
|
||||
// tree.add(2);
|
||||
// tree.add(4);
|
||||
// tree.add(6);
|
||||
// tree.add(8);
|
||||
//
|
||||
// // Delete a node (e.g., 3) and check if it's gone
|
||||
// tree.delete(3);
|
||||
// expect(tree.has(3)).toBe(false);
|
||||
//
|
||||
// // Perform in-order traversal to check if the tree is still balanced
|
||||
// const inOrderTraverse: number[] = tree.DFS('in');
|
||||
//
|
||||
//
|
||||
// expect(inOrderTraverse).toEqual([2, 4, 5, 6, 7, 8]);
|
||||
describe('deleteNode', () => {
|
||||
test('should delete a node from the tree', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
tree.delete(20);
|
||||
|
||||
expect(tree.getNode(20)).toBe(tree.NIL);
|
||||
});
|
||||
|
||||
test('should handle deleting a non-existent node', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
tree.delete(15);
|
||||
|
||||
expect(tree.getNode(15)).toBe(tree.NIL);
|
||||
});
|
||||
});
|
||||
|
||||
describe('minimum', () => {
|
||||
test('should find the minimum node in the tree', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
tree.insert(15);
|
||||
tree.insert(3);
|
||||
|
||||
const minNode = tree.getLeftMost(tree.root);
|
||||
expect(minNode.key).toBe(3);
|
||||
});
|
||||
|
||||
test('should handle an empty tree', () => {
|
||||
const minNode = tree.getLeftMost(tree.root);
|
||||
expect(minNode).toBe(tree.NIL);
|
||||
});
|
||||
});
|
||||
|
||||
describe('getRightMost', () => {
|
||||
test('should find the getRightMost node in the tree', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
tree.insert(15);
|
||||
tree.insert(25);
|
||||
|
||||
const maxNode = tree.getRightMost(tree.root);
|
||||
expect(maxNode.key).toBe(25);
|
||||
});
|
||||
|
||||
test('should handle an empty tree', () => {
|
||||
const maxNode = tree.getRightMost(tree.root);
|
||||
expect(maxNode).toBe(tree.NIL);
|
||||
});
|
||||
});
|
||||
|
||||
describe('getSuccessor', () => {
|
||||
test('should find the getSuccessor of a node', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
tree.insert(15);
|
||||
tree.insert(25);
|
||||
|
||||
const node = tree.getNode(15);
|
||||
const successorNode = tree.getSuccessor(node);
|
||||
|
||||
expect(successorNode.key).toBe(20);
|
||||
});
|
||||
|
||||
test('should handle a node with no getSuccessor', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(5);
|
||||
|
||||
const node = tree.getNode(10);
|
||||
const successorNode = tree.getSuccessor(node);
|
||||
// TODO not sure if it should be null or tree.NIL
|
||||
expect(successorNode).toBe(null);
|
||||
});
|
||||
});
|
||||
|
||||
describe('getPredecessor', () => {
|
||||
test('should find the getPredecessor of a node', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
tree.insert(5);
|
||||
tree.insert(15);
|
||||
tree.insert(25);
|
||||
|
||||
const node = tree.getNode(20);
|
||||
const predecessorNode = tree.getPredecessor(node);
|
||||
|
||||
expect(predecessorNode.key).toBe(15);
|
||||
});
|
||||
|
||||
test('should handle a node with no getPredecessor', () => {
|
||||
tree.insert(10);
|
||||
tree.insert(20);
|
||||
|
||||
const node = tree.getNode(20);
|
||||
const predecessorNode = tree.getPredecessor(node);
|
||||
// TODO not sure if it should be tree.NIL or something else.
|
||||
expect(predecessorNode).toBe(tree.getNode(10));
|
||||
});
|
||||
});
|
||||
});
|
||||
|
|
|
|||
Loading…
Reference in a new issue