data-structure-typed/test/integration/bst.test.ts

import { BST, BSTNode } from 'bst-typed';

describe('Individual package BST operations test', () => {
  it('should perform various operations on a Binary Search Tree with numeric values', () => {
    const bst = new BST<number>();
    expect(bst).toBeInstanceOf(BST);
    bst.add([11, 11]);
    bst.add([3, 3]);
    const idsOrValues = [15, 1, 8, 13, 16, 2, 6, 9, 12, 14, 4, 7, 10, 5];
    bst.addMany(idsOrValues, undefined);
    expect(bst.root).toBeInstanceOf(BSTNode);

    if (bst.root) expect(bst.root.key).toBe(11);

    expect(bst.size).toBe(16);

    expect(bst.has(6)).toBe(true);

    const node6 = bst.get(6);
    expect(node6 && bst.getHeight(6)).toBe(2);
    expect(node6 && bst.getDepth(6)).toBe(3);

    const nodeId10 = bst.getNode(10);
    expect(nodeId10?.key).toBe(10);

    const nodeVal9 = bst.getNode(9, node => node.value);
    expect(nodeVal9?.key).toBe(9);

    const leftMost = bst.getLeftMost();
    expect(leftMost?.key).toBe(1);

    const node15 = bst.getNode(15);
    const minNodeBySpecificNode = node15 && bst.getLeftMost(node15);
    expect(minNodeBySpecificNode?.key).toBe(12);

    let subTreeSum = 0;
    node15 && bst.dfs(node => (subTreeSum += node.key), 'IN', 15);
    expect(subTreeSum).toBe(70);

    let lesserSum = 0;
    bst.lesserOrGreaterTraverse(node => (lesserSum += node.key), -1, 10);
    expect(lesserSum).toBe(45);

    expect(node15).toBeInstanceOf(BSTNode);

    const node11 = bst.getNode(11);
    expect(node11).toBeInstanceOf(BSTNode);

    const dfsInorderNodes = bst.dfs(node => node, 'IN');
    expect(dfsInorderNodes[0].key).toBe(1);
    expect(dfsInorderNodes[dfsInorderNodes.length - 1].key).toBe(16);

    bst.perfectlyBalance();
    expect(bst.isPerfectlyBalanced()).toBe(true);

    const bfsNodesAfterBalanced = bst.bfs(node => node);
    expect(bfsNodesAfterBalanced[0].key).toBe(8);
    expect(bfsNodesAfterBalanced[bfsNodesAfterBalanced.length - 1].key).toBe(16);

    const removed11 = bst.delete(11);
    expect(removed11).toBeInstanceOf(Array);
    expect(removed11[0]).toBeDefined();
    expect(removed11[0].deleted).toBeDefined();

    if (removed11[0].deleted) expect(removed11[0].deleted.key).toBe(11);

    expect(bst.isAVLBalanced()).toBe(true);

    expect(bst.getHeight(15)).toBe(1);

    const removed1 = bst.delete(1);
    expect(removed1).toBeInstanceOf(Array);
    expect(removed1[0]).toBeDefined();
    expect(removed1[0].deleted).toBeDefined();
    if (removed1[0].deleted) expect(removed1[0].deleted.key).toBe(1);

    expect(bst.isAVLBalanced()).toBe(true);

    expect(bst.getHeight()).toBe(4);

    const removed4 = bst.delete(4);
    expect(removed4).toBeInstanceOf(Array);
    expect(removed4[0]).toBeDefined();
    expect(removed4[0].deleted).toBeDefined();
    if (removed4[0].deleted) expect(removed4[0].deleted.key).toBe(4);
    expect(bst.isAVLBalanced()).toBe(true);
    expect(bst.getHeight()).toBe(4);

    const removed10 = bst.delete(10);
    expect(removed10).toBeInstanceOf(Array);
    expect(removed10[0]).toBeDefined();
    expect(removed10[0].deleted).toBeDefined();
    if (removed10[0].deleted) expect(removed10[0].deleted.key).toBe(10);
    expect(bst.isAVLBalanced()).toBe(false);
    expect(bst.getHeight()).toBe(4);

    const removed15 = bst.delete(15);
    expect(removed15).toBeInstanceOf(Array);
    expect(removed15[0]).toBeDefined();
    expect(removed15[0].deleted).toBeDefined();
    if (removed15[0].deleted) expect(removed15[0].deleted.key).toBe(15);

    expect(bst.isAVLBalanced()).toBe(true);
    expect(bst.getHeight()).toBe(3);

    const removed5 = bst.delete(5);
    expect(removed5).toBeInstanceOf(Array);
    expect(removed5[0]).toBeDefined();
    expect(removed5[0].deleted).toBeDefined();
    if (removed5[0].deleted) expect(removed5[0].deleted.key).toBe(5);

    expect(bst.isAVLBalanced()).toBe(true);
    expect(bst.getHeight()).toBe(3);

    const removed13 = bst.delete(13);
    expect(removed13).toBeInstanceOf(Array);
    expect(removed13[0]).toBeDefined();
    expect(removed13[0].deleted).toBeDefined();
    if (removed13[0].deleted) expect(removed13[0].deleted.key).toBe(13);
    expect(bst.isAVLBalanced()).toBe(true);
    expect(bst.getHeight()).toBe(3);

    const removed3 = bst.delete(3);
    expect(removed3).toBeInstanceOf(Array);
    expect(removed3[0]).toBeDefined();
    expect(removed3[0].deleted).toBeDefined();
    if (removed3[0].deleted) expect(removed3[0].deleted.key).toBe(3);
    expect(bst.isAVLBalanced()).toBe(false);
    expect(bst.getHeight()).toBe(3);

    const removed8 = bst.delete(8);
    expect(removed8).toBeInstanceOf(Array);
    expect(removed8[0]).toBeDefined();
    expect(removed8[0].deleted).toBeDefined();
    if (removed8[0].deleted) expect(removed8[0].deleted.key).toBe(8);
    expect(bst.isAVLBalanced()).toBe(true);
    expect(bst.getHeight()).toBe(3);

    const removed6 = bst.delete(6);
    expect(removed6).toBeInstanceOf(Array);
    expect(removed6[0]).toBeDefined();
    expect(removed6[0].deleted).toBeDefined();
    if (removed6[0].deleted) expect(removed6[0].deleted.key).toBe(6);
    expect(bst.delete(6).length).toBe(0);
    expect(bst.isAVLBalanced()).toBe(false);
    expect(bst.getHeight()).toBe(3);

    const removed7 = bst.delete(7);
    expect(removed7).toBeInstanceOf(Array);
    expect(removed7[0]).toBeDefined();
    expect(removed7[0].deleted).toBeDefined();
    if (removed7[0].deleted) expect(removed7[0].deleted.key).toBe(7);
    expect(bst.isAVLBalanced()).toBe(false);
    expect(bst.getHeight()).toBe(3);

    const removed9 = bst.delete(9);
    expect(removed9).toBeInstanceOf(Array);
    expect(removed9[0]).toBeDefined();
    expect(removed9[0].deleted).toBeDefined();
    if (removed9[0].deleted) expect(removed9[0].deleted.key).toBe(9);
    expect(bst.isAVLBalanced()).toBe(false);
    expect(bst.getHeight()).toBe(3);

    const removed14 = bst.delete(14);
    expect(removed14).toBeInstanceOf(Array);
    expect(removed14[0]).toBeDefined();
    expect(removed14[0].deleted).toBeDefined();
    if (removed14[0].deleted) expect(removed14[0].deleted.key).toBe(14);
    expect(bst.isAVLBalanced()).toBe(false);
    expect(bst.getHeight()).toBe(2);

    expect(bst.isAVLBalanced()).toBe(false);

    const bfsIDs = bst.bfs();
    expect(bfsIDs[0]).toBe(2);
    expect(bfsIDs[1]).toBe(12);
    expect(bfsIDs[2]).toBe(16);

    const bfsNodes = bst.bfs(node => node);
    expect(bfsNodes[0].key).toBe(2);
    expect(bfsNodes[1].key).toBe(12);
    expect(bfsNodes[2].key).toBe(16);
  });

  it('should perform various operations on a Binary Search Tree with object values', () => {
    const objBST = new BST<number, { key: number; keyA: number }>();
    expect(objBST).toBeInstanceOf(BST);
    objBST.add([11, { key: 11, keyA: 11 }]);
    objBST.add([3, { key: 3, keyA: 3 }]);
    const values: [number, { key: number; keyA: number }][] = [
      [15, { key: 15, keyA: 15 }],
      [1, { key: 1, keyA: 1 }],
      [8, { key: 8, keyA: 8 }],
      [13, { key: 13, keyA: 13 }],
      [16, { key: 16, keyA: 16 }],
      [2, { key: 2, keyA: 2 }],
      [6, { key: 6, keyA: 6 }],
      [9, { key: 9, keyA: 9 }],
      [12, { key: 12, keyA: 12 }],
      [14, { key: 14, keyA: 14 }],
      [4, { key: 4, keyA: 4 }],
      [7, { key: 7, keyA: 7 }],
      [10, { key: 10, keyA: 10 }],
      [5, { key: 5, keyA: 5 }]
    ];

    objBST.addMany(values, undefined);

    expect(objBST.root).toBeInstanceOf(BSTNode);

    if (objBST.root) expect(objBST.root.key).toBe(11);

    expect(objBST.has(6)).toBe(true);

    const node6 = objBST.getNode(6);
    expect(node6 && objBST.getHeight(node6)).toBe(2);
    expect(node6 && objBST.getDepth(node6)).toBe(3);

    const nodeId10 = objBST.get(10);
    expect(nodeId10?.key).toBe(10);

    const nodeVal9 = objBST.get(9);
    expect(nodeVal9?.key).toBe(9);

    const leftMost = objBST.getLeftMost();
    expect(leftMost?.key).toBe(1);

    const node15 = objBST.getNode(15);
    expect(node15?.value).toEqual({ key: 15, keyA: 15 });
    const minNodeBySpecificNode = node15 && objBST.getLeftMost(node15);
    expect(minNodeBySpecificNode?.key).toBe(12);

    let subTreeSum = 0;
    node15 && objBST.dfs(node => (subTreeSum += node.key), 'IN', node15);
    expect(subTreeSum).toBe(70);

    let lesserSum = 0;
    objBST.lesserOrGreaterTraverse(node => (lesserSum += node.key), -1, 10);
    expect(lesserSum).toBe(45);

    expect(node15).toBeInstanceOf(BSTNode);

    const node11 = objBST.getNode(11);
    expect(node11).toBeInstanceOf(BSTNode);

    const dfsInorderNodes = objBST.dfs(node => node, 'IN');
    expect(dfsInorderNodes[0].key).toBe(1);
    expect(dfsInorderNodes[dfsInorderNodes.length - 1].key).toBe(16);

    objBST.perfectlyBalance();
    expect(objBST.isPerfectlyBalanced()).toBe(true);

    const bfsNodesAfterBalanced = objBST.bfs(node => node);
    expect(bfsNodesAfterBalanced[0].key).toBe(8);
    expect(bfsNodesAfterBalanced[bfsNodesAfterBalanced.length - 1].key).toBe(16);

    const removed11 = objBST.delete(11);
    expect(removed11).toBeInstanceOf(Array);
    expect(removed11[0]).toBeDefined();
    expect(removed11[0].deleted).toBeDefined();

    if (removed11[0].deleted) expect(removed11[0].deleted.key).toBe(11);

    expect(objBST.isAVLBalanced()).toBe(true);

    expect(node15 && objBST.getHeight(node15)).toBe(2);

    const removed1 = objBST.delete(1);
    expect(removed1).toBeInstanceOf(Array);
    expect(removed1[0]).toBeDefined();
    expect(removed1[0].deleted).toBeDefined();
    if (removed1[0].deleted) expect(removed1[0].deleted.key).toBe(1);

    expect(objBST.isAVLBalanced()).toBe(true);

    expect(objBST.getHeight()).toBe(4);

    const removed4 = objBST.delete(4);
    expect(removed4).toBeInstanceOf(Array);
    expect(removed4[0]).toBeDefined();
    expect(removed4[0].deleted).toBeDefined();
    if (removed4[0].deleted) expect(removed4[0].deleted.key).toBe(4);
    expect(objBST.isAVLBalanced()).toBe(true);
    expect(objBST.getHeight()).toBe(4);

    const removed10 = objBST.delete(10);
    expect(removed10).toBeInstanceOf(Array);
    expect(removed10[0]).toBeDefined();
    expect(removed10[0].deleted).toBeDefined();
    if (removed10[0].deleted) expect(removed10[0].deleted.key).toBe(10);
    expect(objBST.isAVLBalanced()).toBe(false);
    expect(objBST.getHeight()).toBe(4);

    const removed15 = objBST.delete(15);
    expect(removed15).toBeInstanceOf(Array);
    expect(removed15[0]).toBeDefined();
    expect(removed15[0].deleted).toBeDefined();
    if (removed15[0].deleted) expect(removed15[0].deleted.key).toBe(15);

    expect(objBST.isAVLBalanced()).toBe(true);
    expect(objBST.getHeight()).toBe(3);

    const removed5 = objBST.delete(5);
    expect(removed5).toBeInstanceOf(Array);
    expect(removed5[0]).toBeDefined();
    expect(removed5[0].deleted).toBeDefined();
    if (removed5[0].deleted) expect(removed5[0].deleted.key).toBe(5);

    expect(objBST.isAVLBalanced()).toBe(true);
    expect(objBST.getHeight()).toBe(3);

    const removed13 = objBST.delete(13);
    expect(removed13).toBeInstanceOf(Array);
    expect(removed13[0]).toBeDefined();
    expect(removed13[0].deleted).toBeDefined();
    if (removed13[0].deleted) expect(removed13[0].deleted.key).toBe(13);
    expect(objBST.isAVLBalanced()).toBe(true);
    expect(objBST.getHeight()).toBe(3);

    const removed3 = objBST.delete(3);
    expect(removed3).toBeInstanceOf(Array);
    expect(removed3[0]).toBeDefined();
    expect(removed3[0].deleted).toBeDefined();
    if (removed3[0].deleted) expect(removed3[0].deleted.key).toBe(3);
    expect(objBST.isAVLBalanced()).toBe(false);
    expect(objBST.getHeight()).toBe(3);

    const removed8 = objBST.delete(8);
    expect(removed8).toBeInstanceOf(Array);
    expect(removed8[0]).toBeDefined();
    expect(removed8[0].deleted).toBeDefined();
    if (removed8[0].deleted) expect(removed8[0].deleted.key).toBe(8);
    expect(objBST.isAVLBalanced()).toBe(true);
    expect(objBST.getHeight()).toBe(3);

    const removed6 = objBST.delete(6);
    expect(removed6).toBeInstanceOf(Array);
    expect(removed6[0]).toBeDefined();
    expect(removed6[0].deleted).toBeDefined();
    if (removed6[0].deleted) expect(removed6[0].deleted.key).toBe(6);
    expect(objBST.delete(6).length).toBe(0);
    expect(objBST.isAVLBalanced()).toBe(false);
    expect(objBST.getHeight()).toBe(3);

    const removed7 = objBST.delete(7);
    expect(removed7).toBeInstanceOf(Array);
    expect(removed7[0]).toBeDefined();
    expect(removed7[0].deleted).toBeDefined();
    if (removed7[0].deleted) expect(removed7[0].deleted.key).toBe(7);
    expect(objBST.isAVLBalanced()).toBe(false);
    expect(objBST.getHeight()).toBe(3);

    const removed9 = objBST.delete(9);
    expect(removed9).toBeInstanceOf(Array);
    expect(removed9[0]).toBeDefined();
    expect(removed9[0].deleted).toBeDefined();
    if (removed9[0].deleted) expect(removed9[0].deleted.key).toBe(9);
    expect(objBST.isAVLBalanced()).toBe(false);
    expect(objBST.getHeight()).toBe(3);

    const removed14 = objBST.delete(14);
    expect(removed14).toBeInstanceOf(Array);
    expect(removed14[0]).toBeDefined();
    expect(removed14[0].deleted).toBeDefined();
    if (removed14[0].deleted) expect(removed14[0].deleted.key).toBe(14);
    expect(objBST.isAVLBalanced()).toBe(false);
    expect(objBST.getHeight()).toBe(2);

    expect(objBST.isAVLBalanced()).toBe(false);

    const bfsIDs = objBST.bfs();
    expect(bfsIDs[0]).toBe(2);
    expect(bfsIDs[1]).toBe(12);
    expect(bfsIDs[2]).toBe(16);

    const bfsNodes = objBST.bfs(node => node);
    expect(bfsNodes[0].key).toBe(2);
    expect(bfsNodes[1].key).toBe(12);
    expect(bfsNodes[2].key).toBe(16);
  });
});