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"prettier": "^2.8.8" + }, + "type" : "module" +} diff --git a/src/Node.js b/src/Node.js new file mode 100644 index 0000000..26818f7 --- /dev/null +++ b/src/Node.js @@ -0,0 +1,8 @@ +// node factory +export const Node = (value = null, left = null, right = null) => { + return { + value, + left, + right, + }; +}; diff --git a/src/Tree.js b/src/Tree.js new file mode 100644 index 0000000..83493cc --- /dev/null +++ b/src/Tree.js @@ -0,0 +1,422 @@ +import { mergeSort } from "./mergeSort.js"; +import { Node } from "./Node.js"; + +// node factory which accepts an array when initialized +export const Tree = (array) => { + // reusable function for finding midpoint of array + function findMiddle(arr) { + return Math.floor(arr.length / 2); + } + // cached var for sorted array - to not have to reuse the function repeatedly + const sorted = mergeSort(array); + // takes an array of data and turns it into a balanced binary tree full of Node objects + const buildTree = (passedArr = sorted) => { + // termination condition + if (passedArr.length < 1) { + return null; + } + // assign as right + const right = [...passedArr]; + // find middle + const middle = findMiddle(right); + // get root node + const root = Node(right[middle]); + // left is all digits from 0 to current index + const left = right.splice(0, middle); + // current index / parent node not included and deleted + right.splice(0, 1); + // right array now only has "right side" values + // assign root node's left to a new tree - will re-call function recursively + root.left = buildTree(left); + // do the same with root node's right - will re-call function recursively + root.right = buildTree(right); + //returns the root node + return root; + }; + // root node + let root = buildTree(); + // accepts a value to insert + const insertValue = (value) => { + // keep temporary vars for looping logic + const nodes = { + current: root, + finalNode: null, + }; + // logic - while there are nodes to loop through + while (nodes.current) { + // get final leaf node after loop completion - this will be the node appended to + nodes.finalNode = nodes.current; + // disregard all duplicate values immediately + if (value === nodes.current.value) + return console.log("Duplicate entered!"); + // step left or right based on value + value < nodes.current.value + ? (nodes.current = nodes.current.left) + : (nodes.current = nodes.current.right); + } + // disregard all duplicate values immediately + if (value === nodes.finalNode.value) + return console.log("Duplicate entered!"); + // append node to correct side of final node + value < nodes.finalNode.value + ? (nodes.finalNode.left = Node(value)) + : (nodes.finalNode.right = Node(value)); + }; + // accepts a value to delete + const deleteValue = (value) => { + // find value - call find function with specific parents boolean to get parent vars + const found = find(value, (parents = true)); + // if the node exists + if (found) { + // gets current node + // nodes found by find() with parents boolean are in array format: [found node, parent node] + const node = found[0]; + // if value has two children + if (node.left && node.right) { + // get in-order successor + const successor = ioSucc(node); + // get the parent of the successor by looking it up, finding value and returning parent via parents boolean + // nodes found by find() with parents boolean are in array format: [found node, parent node] + const successorParent = find(successor.value, (parents = true))[1]; + // set node value to successor + node.value = successor.value; + // based on the way in-order succession works, there is no left on the successor + // if any rights are hanging around, assign them to successor parent's left + successorParent.left = successor.right; + return; + } + // if value has one child + if (node.left || node.right) { + // clone children and their properties + if (node.left) { + node.value = node.left.value; + node.left = node.left.left; + node.right = node.left.right; + return; + } + node.value = node.right.value; + node.left = node.right.left; + node.right = node.right.right; + return; + } + // if value has no children (leaf node) + // depending on if current node is parent's left or right, delete from parent + return nodes.current === nodes.parent.left + ? (nodes.parent.left = null) + : (nodes.parent.right = null); + } + console.log("No such value found!"); + }; + // accepts a value and returns the node with the given value + const find = (value, parents = false) => { + // temp var - start searching at root + const nodes = { current: root, parent }; + // logic - while there are nodes to loop through + while (nodes.current) { + // if values match, stop loop + if (value === nodes.current.value) break; + if (parents) nodes.parent = nodes.current; + // otherwise step left or right based on value + value < nodes.current.value + ? (nodes.current = nodes.current.left) + : (nodes.current = nodes.current.right); + } + if (nodes.current) { + return nodes.parent ? [nodes.current, nodes.parent] : nodes.current; + } + console.log("No such value found!"); + return null; + }; + // console.log your tree in a structured format. This function will expect to receive the root of your tree as the value for the node parameter. + // code from Odin Project + const prettyPrint = (node = root, prefix = "", isLeft = true) => { + if (node === null) { + return; + } + if (node.right) { + prettyPrint(node.right, `${prefix}${isLeft ? "│ " : " "}`, false); + } + console.log(`${prefix}${isLeft ? "└── " : "┌── "}${node.value}`); + if (node.left) { + prettyPrint(node.left, `${prefix}${isLeft ? " " : "│ "}`, true); + } + }; + // traverse the tree in breadth-first level order and provide each node + const levelOrder = (callback = null) => { + // make vars + const output = []; + const queue = []; + // push root + callback ? callback(root) : output.push(root.value); + const getChildren = (arr) => { + // exits at 0 + if (arr.length === 0) { + return; + } + // appends both nodes to both arrays and removes current from queue + if (arr[0].left && arr[0].right) { + arr.push(arr[0].left); + callback ? callback(arr[0].left) : output.push(arr[0].left.value); + arr.push(arr[0].right); + callback ? callback(arr[0].right) : output.push(arr[0].right.value); + // delete self from queue + arr.splice(0, 1); + // runs until all done + return getChildren(arr); + } + // if has one child + if (arr[0].left || arr[0].right) { + // left child + if (arr[0].left) { + arr.push(arr[0].left); + callback ? callback(arr[0].left) : output.push(arr[0].left.value); + arr.splice(0, 1); + return getChildren(arr); + } + // right child + else { + arr.push(arr[0].right); + callback ? callback(arr[0].right) : output.push(arr[0].right.value); + arr.splice(0, 1); + return getChildren(arr); + } + } + }; + if (root.left && root.right) { + // push node to queue + queue.push(root.left); + callback ? callback(root.left) : output.push(root.left.value); + // push node to main array or function + queue.push(root.right); + callback ? callback(root.right) : output.push(root.right.value); + // run shim function + getChildren(queue); + } + // if one or the other, push the correct one + else if (root.left || root.right) { + // if left + if (root.left) { + queue.push(root.left); + callback ? callback(root.left) : output.push(root.left.value); + getChildren(queue); + } + // if right + else { + queue.push(root.right); + callback ? callback(root.right) : output.push(root.right.value); + getChildren(queue); + } + } + // return array + return output; + }; + // finds and returns the leftmost node of the specified node + function leftmostNode(node = root, parents = false) { + // set up temp var + const nodes = { current: node }; + if (parents) { + const pArr = []; + } + // get leftest node in subtree + while (nodes.current.left) { + if (parents) pArr.splice(0, 0, nodes.current); + nodes.current = nodes.current.left; + } + // return + return parents ? [nodes.current, pArr] : nodes.current; + } + // finds and returns in-order successor of node (default root) + function ioSucc(node) { + // if there is a right node + if (node.right) return leftmostNode(node.right); + // if there is no right node, successor lies "above" - "walk" down from root + if (node === root) return null; + // make temp vars + const nodes = { current: root, last: null }; + // get last node in search + while (nodes.current) { + // if this is the current node, break loop + if (node === node.current) break; + // if the value is less than the current node + if (node.value < nodes.current.value) { + // set parent + nodes.last = nodes.current; + // move left + nodes.current = nodes.current.left; + // continue loop + continue; + } + // else move right + nodes.current = nodes.current.right; + } + // return + return nodes.last; + } + // returns nodes in order + const inorder = (callback = null) => { + // set up vars + const arr = []; + const nodes = { + current: leftmostNode(), + }; + // get successors of leftest node and append to array + while (nodes.current) { + // depending on callback's existence, either pass node to callback or append to array + callback ? callback(nodes.current) : arr.push(nodes.current.value); + nodes.current = ioSucc(nodes.current); + } + // return array + return arr; + }; + // returns nodes in preorder + const preorder = (callback = null) => { + // make vars + const output = []; + const nodes = []; + // push root to nodes array and output + nodes.push(root); + // recurse as long as there is a nodes array + const getChildren = (arr) => { + // exits at 0 + if (arr.length === 0) { + // returns output array + return output; + } + // pushes the current node + callback ? callback(arr[0]) : output.push(arr[0].value); + // captures left and right values + const left = arr[0].left; + const right = arr[0].right; + // delete current node from nodes array + arr.splice(0, 1); + // if node has both left and right + if (left && right) { + // add left node to front of nodes array + arr.splice(0, 0, left); + // add right node to nodes array behind left node + arr.splice(1, 0, right); + // runs until all done + return getChildren(arr); + } + // if has one child + if (left || right) { + // left child + if (left) { + // add left node to front of nodes array + arr.splice(0, 0, left); + // runs until all done + return getChildren(arr); + } + // right child + else { + // add right node to front of nodes array + arr.splice(0, 0, right); + // runs until all done + return getChildren(arr); + } + } + return getChildren(arr); + }; + // return array + return getChildren(nodes); + }; + // returns nodes in post-order + const postorder = (callback = null) => { + // make var + const output = []; + // recurse on a node as long as node exists + const getChildren = (node) => { + if (node === null) { + // returns output array + return; + } + // traverse left side + getChildren(node.left); + // traverse right side + getChildren(node.right); + // print current node + callback ? callback(node) : output.push(node.value); + }; + getChildren(root); + return output; + }; + // accepts a node and returns its height + const height = (passedNode = root) => { + // make vars + const heights = []; + // recurse + const getChildren = (node = passedNode, height = 0) => { + // if no children, push final height to array + if (node.left === null && node.right === null) + return heights.push(height); + if (node.left && node.right) { + height++; + getChildren(node.left, height); + getChildren(node.right, height); + return; + } + if (node.left) { + height++; + return getChildren(node.left, height); + } + height++; + return getChildren(node.right, height); + }; + getChildren(); + return Math.max(...heights); + }; + // accepts a node and returns its depth (from root) + const depth = (node) => { + // make vars + const nodes = { + current: root, + depth: 0, + }; + // step through nodes and find ours + while (nodes.current) { + // break on current + if (nodes.current.value === node.value) break; + // add to depth value + nodes.depth += 1; + // if left, go left otherwise go right + node.value < nodes.current.value + ? (nodes.current = nodes.current.left) + : (nodes.current = nodes.current.right); + } + // returns depth value + return nodes.depth; + }; + // checks if the tree is balanced + const isBalanced = () => { + const left = height(root.left); + const right = height(root.right); + if (right > left + 1) { + console.log("Tree is NOT balanced"); + return false; + } + if (left > right + 1) { + console.log("Tree is NOT balanced"); + return false; + } + console.log("Tree is balanced"); + return true; + }; + // rebalances an unbalanced tree and returns it + const rebalance = () => { + root = buildTree(inorder()); + }; + // return relevant functions + return { + prettyPrint, + insertValue, + deleteValue, + inorder, + levelOrder, + preorder, + postorder, + height, + depth, + isBalanced, + rebalance, + }; +}; diff --git a/src/main.js b/src/main.js new file mode 100644 index 0000000..2b23fc2 --- /dev/null +++ b/src/main.js @@ -0,0 +1,38 @@ +import { Tree } from "./Tree.js"; + +// driver for tree functions + +// creates a binary search tree from an array of random numbers < 100 +const arr = []; +for (let i = 0; i < 100; i++) { + // pushes a number between 0 and 100 to array + arr.push(Math.round(Math.random() * 100)); +} +const tree = Tree(arr); +tree.prettyPrint(); +// confirms that the tree is balanced +tree.isBalanced(); +// prints out all elements in level, pre, post, and in order +console.log(tree.levelOrder()); +console.log(tree.preorder()); +console.log(tree.postorder()); +console.log(tree.inorder()); +// unbalances the tree by adding several numbers > 100 +tree.insertValue(101); +tree.insertValue(108); +tree.insertValue(105); +tree.insertValue(118); +tree.insertValue(110); +tree.prettyPrint(); +// confirms that the tree is unbalanced +tree.isBalanced(); +// balances the tree +tree.rebalance(); +tree.prettyPrint(); +// confirms the tree is balanced +tree.isBalanced(); +// prints out all elements in level, pre, post, and in order +console.log(tree.levelOrder()); +console.log(tree.preorder()); +console.log(tree.postorder()); +console.log(tree.inorder()); diff --git a/src/mergeSort.js b/src/mergeSort.js new file mode 100644 index 0000000..07415f9 --- /dev/null +++ b/src/mergeSort.js @@ -0,0 +1,27 @@ +// merge sort - recursive +export const mergeSort = (arr) => { + if (arr.length < 2) return arr; + // the sauce + function mergeArrays(left, right) { + // create output array + let output = []; + // while both halves of the array have values + while (left.length && right.length) { + // remove first index from correct array and add to output array + if (left[0] === right[0]) { + output.push(left.shift()); + // removes duplicates + right.shift(); + continue; + } + left[0] < right[0] + ? output.push(left.shift()) + : output.push(right.shift()); + } + // add the stragglers + return output.concat(left, right); + } + const half = Math.floor(arr.length / 2); + const left = arr.splice(0, half); + return mergeArrays(mergeSort(left), mergeSort(arr)); +};