diff --git a/.babelrc b/.babelrc new file mode 100644 index 00000000..da8e9042 --- /dev/null +++ b/.babelrc @@ -0,0 +1,3 @@ +{ + presets: ['es2015'] +} \ No newline at end of file diff --git a/.github/FUNDING.yml b/.github/FUNDING.yml deleted file mode 100644 index 509d8eac..00000000 --- a/.github/FUNDING.yml +++ /dev/null @@ -1,12 +0,0 @@ -# These are supported funding model platforms - -github: # Replace with up to 4 GitHub Sponsors-enabled usernames e.g., [user1, user2] -patreon: # Replace with a single Patreon username -open_collective: # Replace with a single Open Collective username -ko_fi: # Replace with a single Ko-fi username -tidelift: # Replace with a single Tidelift platform-name/package-name e.g., npm/babel -community_bridge: # Replace with a single Community Bridge project-name e.g., cloud-foundry -liberapay: # Replace with a single Liberapay username -issuehunt: # Replace with a single IssueHunt username -otechie: # Replace with a single Otechie username -custom: https://www.paypal.com/cgi-bin/webscr?cmd=_donations&business=CFS8Y6G3E29UA diff --git a/.gitignore b/.gitignore index 37411d9a..3bb69523 100644 --- a/.gitignore +++ b/.gitignore @@ -1,24 +1,6 @@ -# WebStorm settings -/.idea - -# dependencies -/node_modules -/.pnp -.pnp.js - -# testing -/coverage - -# production -/build - -# misc +.idea .DS_Store -.env.local -.env.development.local -.env.test.local -.env.production.local - -npm-debug.log* -yarn-debug.log* -yarn-error.log* +node_modules +_* +npm-debug.log +public/*.* \ No newline at end of file diff --git a/.gitpod.yml b/.gitpod.yml deleted file mode 100644 index ba5c8cce..00000000 --- a/.gitpod.yml +++ /dev/null @@ -1,17 +0,0 @@ -tasks: - - init: > - git clone https://github.com/algorithm-visualizer/server.git && - cd server && - npm install && - echo -e "GITHUB_CLIENT_ID=dummy\nGITHUB_CLIENT_SECRET=dummy\nAWS_ACCESS_KEY_ID=dummy\nAWS_SECRET_ACCESS_KEY=dummy" > .env.local && - cd .. - command: cd server && npm run watch - - init: > - npm install && - echo 'DANGEROUSLY_DISABLE_HOST_CHECK=true' > .env.local - command: npm start -ports: - - port: 3000 - onOpen: notify - - port: 8080 - onOpen: ignore diff --git a/CODE_OF_CONDUCT.md b/CODE_OF_CONDUCT.md deleted file mode 100644 index 93291207..00000000 --- a/CODE_OF_CONDUCT.md +++ /dev/null @@ -1,76 +0,0 @@ -# Contributor Covenant Code of Conduct - -## Our Pledge - -In the interest of fostering an open and welcoming environment, we as -contributors and maintainers pledge to making participation in our project and -our community a harassment-free experience for everyone, regardless of age, body -size, disability, ethnicity, sex characteristics, gender identity and expression, -level of experience, education, socio-economic status, nationality, personal -appearance, race, religion, or sexual identity and orientation. - -## Our Standards - -Examples of behavior that contributes to creating a positive environment -include: - -* Using welcoming and inclusive language -* Being respectful of differing viewpoints and experiences -* Gracefully accepting constructive criticism -* Focusing on what is best for the community -* Showing empathy towards other community members - -Examples of unacceptable behavior by participants include: - -* The use of sexualized language or imagery and unwelcome sexual attention or - advances -* Trolling, insulting/derogatory comments, and personal or political attacks -* Public or private harassment -* Publishing others' private information, such as a physical or electronic - address, without explicit permission -* Other conduct which could reasonably be considered inappropriate in a - professional setting - -## Our Responsibilities - -Project maintainers are responsible for clarifying the standards of acceptable -behavior and are expected to take appropriate and fair corrective action in -response to any instances of unacceptable behavior. - -Project maintainers have the right and responsibility to remove, edit, or -reject comments, commits, code, wiki edits, issues, and other contributions -that are not aligned to this Code of Conduct, or to ban temporarily or -permanently any contributor for other behaviors that they deem inappropriate, -threatening, offensive, or harmful. - -## Scope - -This Code of Conduct applies both within project spaces and in public spaces -when an individual is representing the project or its community. Examples of -representing a project or community include using an official project e-mail -address, posting via an official social media account, or acting as an appointed -representative at an online or offline event. Representation of a project may be -further defined and clarified by project maintainers. - -## Enforcement - -Instances of abusive, harassing, or otherwise unacceptable behavior may be -reported by contacting the project team at parkjs814@gmail.com. All -complaints will be reviewed and investigated and will result in a response that -is deemed necessary and appropriate to the circumstances. The project team is -obligated to maintain confidentiality with regard to the reporter of an incident. -Further details of specific enforcement policies may be posted separately. - -Project maintainers who do not follow or enforce the Code of Conduct in good -faith may face temporary or permanent repercussions as determined by other -members of the project's leadership. - -## Attribution - -This Code of Conduct is adapted from the [Contributor Covenant][homepage], version 1.4, -available at https://www.contributor-covenant.org/version/1/4/code-of-conduct.html - -[homepage]: https://www.contributor-covenant.org - -For answers to common questions about this code of conduct, see -https://www.contributor-covenant.org/faq diff --git a/CONTRIBUTING.md b/CONTRIBUTING.md deleted file mode 100644 index 56b21f70..00000000 --- a/CONTRIBUTING.md +++ /dev/null @@ -1,60 +0,0 @@ -# Contributing - -> #### Table of Contents -> - [Running Locally](#running-locally) -> - [Running in Gitpod](#running-in-gitpod) -> - [Directory Structure](#directory-structure) - -Are you a first-timer in contributing to open source? [These guidelines](https://opensource.guide/how-to-contribute/#how-to-submit-a-contribution) from GitHub might help! - -## Running Locally - -1. Fork this repository. - -2. Clone your forked repo to your machine. - - ```bash - git clone https://github.com//algorithm-visualizer.git - ``` - -3. Choose whether to run [`server`](https://github.com/algorithm-visualizer/server) on your machine or to use the remote server. - - If you choose to run the server locally as well, follow the instructions [here](https://github.com/algorithm-visualizer/server/blob/master/CONTRIBUTING.md#running-locally). - - - If you choose to use the remote server, **temporarily** (i.e., don't commit this change) modify `package.json` as follows: - ```diff - - "proxy": "http://localhost:8080", - + "proxy": "https://algorithm-visualizer.org", - ``` - -4. Install dependencies, and run the web app. - - ```bash - cd algorithm-visualizer - - npm install - - npm start - ``` - -5. Open [`http://localhost:3000/`](http://localhost:3000/) in a web browser. - -## Running in Gitpod - -You can also run `algorithm-visualizer` in Gitpod, a free online dev environment for GitHub. - -[![Open in Gitpod](https://gitpod.io/button/open-in-gitpod.svg)](https://gitpod.io/#https://github.com/algorithm-visualizer/algorithm-visualizer) - -## Directory Structure - -- [**branding/**](branding) contains representative image files. -- [**public/**](public) contains static files to be served. -- [**src/**](src) contains source code. - - [**apis/**](src/apis) defines outgoing API requests. - - [**common/**](src/common) contains commonly used files. - - [**components/**](src/components) contains UI components. - - [**core/**](src/core) processes visualization. - - [**layouts/**](src/core/layouts) layout tracers. - - [**renderers/**](src/core/renderers) renders visualization data. - - [**tracers/**](src/core/tracers) interprets visualizing commands into visualization data. - - [**files/**](src/files) contains markdown or skeleton files to be shown in the code editor. - - [**reducers/**](src/reducers) contains Redux reducers. diff --git a/CONTRIBUTORS.md b/CONTRIBUTORS.md new file mode 100644 index 00000000..32867863 --- /dev/null +++ b/CONTRIBUTORS.md @@ -0,0 +1,7 @@ +##This project has seen a high number of contributions from: +1. [Arka Prava Basu](https://github.com/archie94) +2. [Kevin Nadro](https://github.com/nadr0) +3. [Steven Syrek](https://github.com/sjsyrek) +4. [Jarett Gross](https://github.com/jarettgross) + +If you too [want to be on this list](https://github.com/parkjs814/AlgorithmVisualizer/wiki/Contributing), all you need is creative ideas and a dozen Red Bulls! diff --git a/LICENSE b/LICENSE index 27f3bc1e..2bfb7ea7 100644 --- a/LICENSE +++ b/LICENSE @@ -1,21 +1,21 @@ -MIT License +The MIT License (MIT) -Copyright (c) 2019 Jinseo Jason Park +Copyright (c) 2016 Jason Park Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal -in the Software without restriction, including without limitation the rights +in the Software without restriction, including without limiting the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is -furnished to do so, subject to the following conditions: +furnished to do so, subjected to the following conditions: -The above copyright notice and this permission notice shall be included in all -copies or substantial portions of the Software. +The above copyright notice and this permission notice shall be included in +all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, -OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE -SOFTWARE. +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN +THE SOFTWARE. diff --git a/README.md b/README.md index b0d31141..67003d09 100644 --- a/README.md +++ b/README.md @@ -1,54 +1,27 @@ # Algorithm Visualizer -## Introduction -Welcome to Algorithm Visualizer, an interactive online platform designed to bring algorithms to life through visualization. Whether you're a student, teacher, or professional, our platform provides an engaging way to explore and understand various algorithms. +[![Join the chat at https://gitter.im/parkjs814/AlgorithmVisualizer](https://badges.gitter.im/parkjs814/AlgorithmVisualizer.svg)](https://gitter.im/parkjs814/AlgorithmVisualizer?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge&utm_content=badge) +[![OpenCollective](https://opencollective.com/algorithmvisualizer/backers/badge.svg)](#backers) +[![OpenCollective](https://opencollective.com/algorithmvisualizer/sponsors/badge.svg)](#sponsors) -[![GitHub contributors](https://img.shields.io/github/contributors/algorithm-visualizer/algorithm-visualizer.svg?style=flat-square)](https://github.com/algorithm-visualizer/algorithm-visualizer/graphs/contributors) -[![GitHub license](https://img.shields.io/github/license/algorithm-visualizer/algorithm-visualizer.svg?style=flat-square)](https://github.com/algorithm-visualizer/algorithm-visualizer/blob/master/LICENSE) +http://algo-visualizer.jasonpark.me -## Languages and Frameworks Used -[![Languages](https://skillicons.dev/icons?i=html,css,js,react,nodejs,redux)](https://skillicons.dev) +![Algorithm Visualizer](http://i.giphy.com/3o6EhJFgsyShX6MHeM.gif) +### Contributing -## Key Features - - -## algorithms -In this repository, you'll find visualizations of algorithms showcased in the website's side menu. Contributions here directly impact the educational content available on the platform. https://github.com/algorithm-visualizer/algorithms - - - -## tracers -Explore the various visualization libraries in different programming languages. These libraries extract visualization commands from code. -https://github.com/search?q=topic%3Avisualization-library+org%3Aalgorithm-visualizer&type=Repositories - - -## Live Demo -Learning an algorithm gets much easier with visualizing it. Don't get what we mean? Check it out: - -[**algorithm-visualizer.org**![Screenshot](https://raw.githubusercontent.com/algorithm-visualizer/algorithm-visualizer/master/branding/screenshot.png)](https://algorithm-visualizer.org/) - -## Contributing - -Our project consists of multiple repositories, each playing a crucial role in the Algorithm Visualizer ecosystem. If you're interested in contributing, check out the guidelines for the specific repository: - - -- [**`algorithm-visualizer`**](https://github.com/algorithm-visualizer/algorithm-visualizer) is a web app written in React. It contains UI components and interprets commands into visualizations. Check out [the contributing guidelines](CONTRIBUTING.md). - -- [**`server`**](https://github.com/algorithm-visualizer/server) serves the web app and provides APIs that it needs on the fly. (e.g., GitHub sign in, compiling/running code, etc.) - -- [**`algorithms`**](https://github.com/algorithm-visualizer/algorithms) contains visualizations of algorithms shown on the side menu of the website. - -- [**`tracers.*`**](https://github.com/search?q=topic%3Avisualization-library+org%3Aalgorithm-visualizer&type=Repositories) are visualization libraries written in each supported language. They extract visualizing commands from code. - -Ready to contribute? Explore the repositories and become part of the Algorithm Visualizer community! \ No newline at end of file +For any feature request or further information, feel free to [raise issues](https://github.com/algorithm-visualizer/algorithm-visualizer/issues/new) or [email parkjs814@gmail.com](mailto:parkjs814@gmail.com). diff --git a/algorithm/backtracking/knight's_tour/basic/code.js b/algorithm/backtracking/knight's_tour/basic/code.js new file mode 100644 index 00000000..7b073a8b --- /dev/null +++ b/algorithm/backtracking/knight's_tour/basic/code.js @@ -0,0 +1,59 @@ +function knightTour(x, y, moveNum) { + if (moveNum === N*N) { + return true; + } + + for (var i = 0; i < 8; i++) { + var nextX = x + X[i]; + var nextY = y + Y[i]; + + posTracer._notify ( 0, nextX)._wait (); + posTracer._notify ( 1, nextY)._wait (); + posTracer._denotify (0); + posTracer._denotify (1); + /* + Check if knight is still in the board + Check that knight does not visit an already visited square + */ + if (nextX>=0 && nextX=0 && nextY3 the time taken by this algorithm is sufficiently high +Also it is not possible to visualise for N>6 due to stack overflow +caused by large number of recursive calls +*/ +var N = 3; +var board = new Array (N); +for (var i = board.length - 1; i >= 0; i--) { + board[i] = new Array (N); +} + +for (var i = board.length - 1; i >= 0; i--) { + for (var j = board[i].length - 1; j >= 0; j--) { + board[i][j] = -1; + } +} + +/* +Define the next move of the knight +*/ +var X = [ 2, 1, -1, -2, -2, -1, 1, 2 ]; +var Y = [ 1, 2, 2, 1, -1, -2, -2, -1 ]; + +var pos = new Array (2); +pos[0] = pos[1] = -1; + +var boardTracer = new Array2DTracer ('Board')._setData (board); +var posTracer = new Array1DTracer ('Knight Position')._setData (pos); +var logTracer = new LogTracer ('Console'); \ No newline at end of file diff --git a/algorithm/backtracking/knight's_tour/desc.json b/algorithm/backtracking/knight's_tour/desc.json new file mode 100644 index 00000000..17c1a445 --- /dev/null +++ b/algorithm/backtracking/knight's_tour/desc.json @@ -0,0 +1,13 @@ +{ + "Knight’s tour problem": "A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately, following the same path), the tour is closed, otherwise it is open.", + "Complexity": { + "time": "Worst $O(8^{N^{2}})$", + "space": "Worst $O(N^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Solving the Knight’s tour problem using Backtracking & Recursion" + } +} diff --git a/algorithm/backtracking/n_queens/desc.json b/algorithm/backtracking/n_queens/desc.json new file mode 100644 index 00000000..fa25eed4 --- /dev/null +++ b/algorithm/backtracking/n_queens/desc.json @@ -0,0 +1,17 @@ +{ + "N Queens Problem": "The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other.", + "Applications": [ + "Puzzle Solving", + "Searching" + ], + "Complexity": { + "time": "Worst $O(N!)$", + "space": "Worst $O(N)$" + }, + "References": [ + "geeksforgeeks" + ], + "files": { + "n_queens": "Solving the N Queens Puzzle using Backtracking & Recursion" + } +} diff --git a/algorithm/backtracking/n_queens/n_queens/code.js b/algorithm/backtracking/n_queens/n_queens/code.js new file mode 100644 index 00000000..86a4ec13 --- /dev/null +++ b/algorithm/backtracking/n_queens/n_queens/code.js @@ -0,0 +1,48 @@ +function validState (row, col, currentQueen) { + for (var q = 0; q < currentQueen; q++) { + var currentQ = queens [q]; + if ( row === currentQ [0] || col === currentQ [1] || ( Math.abs(currentQ [0] - row) === Math.abs(currentQ [1] - col)) ) { + return false; + } + } + return true; +} + +function nQ (currentQueen, currentCol) { + logger._print ('Starting new iteration of nQueens () with currentQueen = ' + currentQueen + ' & currentCol = ' + currentCol); + logger._print ('------------------------------------------------------------------'); + if (currentQueen >= N) { + logger._print ('The recursion has BOTTOMED OUT. All queens have been placed successfully'); + return true; + } + + var found = false, row = 0; + while ( (row < N) && (!found) ) { + boardTracer._select (row, currentCol)._wait (); + logger._print ('Trying queen ' + currentQueen + ' at row ' + row + ' & col ' + currentCol); + + if (validState (row, currentCol, currentQueen)) { + queens [currentQueen] [0] = row; + queens [currentQueen] [1] = currentCol; + + queenTracer._notify (currentQueen, 0, row)._wait (); + queenTracer._notify (currentQueen, 1, currentCol)._wait (); + queenTracer._denotify (currentQueen, 0)._wait (); + queenTracer._denotify (currentQueen, 1)._wait (); + + found = nQ (currentQueen + 1, currentCol + 1); + } + + if (!found) { + boardTracer._deselect (row, currentCol)._wait (); + logger._print ('row ' + row + ' & col ' + currentCol + ' didn\'t work out. Going down'); + } + row++; + } + + return found; +} + +logger._print ('Starting execution'); +nQ (0, 0); +logger._print ('DONE'); \ No newline at end of file diff --git a/algorithm/backtracking/n_queens/n_queens/data.js b/algorithm/backtracking/n_queens/n_queens/data.js new file mode 100644 index 00000000..2588d11e --- /dev/null +++ b/algorithm/backtracking/n_queens/n_queens/data.js @@ -0,0 +1,23 @@ +var N = 4; //just change the value of N and the visuals will reflect the configuration! +var board = (function createArray (N) { + var result = []; + for (var i = 0; i < N; i++) { + result [i] = Array.apply(null, Array(N)).map(Number.prototype.valueOf,0); + } + return result; +}) (N); +var queens = (function qSetup (N) { + var result = []; + for (var i = 0; i < N; i++) { + result [i] = [-1,-1]; + } + return result; +}) (N); + +var boardTracer = new Array2DTracer ('Board'), + queenTracer = new Array2DTracer ('Queen Positions'), + logger = new LogTracer ('Progress'); + +boardTracer._setData (board); +queenTracer._setData (queens); +logger._print ('N Queens: ' + N + 'X' + N + 'matrix, ' + N + ' queens'); \ No newline at end of file diff --git a/algorithm/category.json b/algorithm/category.json new file mode 100644 index 00000000..dc72e97d --- /dev/null +++ b/algorithm/category.json @@ -0,0 +1,125 @@ +{ + "backtracking": { + "list": { + "knight's_tour": "Knight’s tour problem", + "n_queens": "N Queens Problem" + }, + "name": "Backtracking" + }, + "cryptography": { + "list": { + "affine_cipher": "Affine Cipher", + "caesar_cipher": "Caesar Cipher" + }, + "name": "Cryptography" + }, + "dp": { + "list": { + "catalan_number": "Catalan Number", + "fibonacci": "Fibonacci Sequence", + "integer_partition": "Integer Partition", + "knapsack_problem": "Knapsack Problem", + "longest_common_subsequence": "Longest Common Subsequence", + "longest_increasing_subsequence": "Longest Increasing Subsequence", + "longest_palindromic_subsequence": "Longest Palindromic Subsequence", + "max_subarray": "Maximum Subarray", + "max_sum_path": "Maximum Sum Path", + "pascal_triangle": "Pascal's Triangle", + "shortest_common_supersequence": "Shortest Common Supersequence", + "sliding_window": "Sliding Window", + "ugly_numbers": "Ugly Numbers" + }, + "name": "Dynamic Programming" + }, + "graph_search": { + "list": { + "bellman_ford": "Bellman-Ford", + "bfs": "BFS", + "bridges": "Find-Bridges", + "dfs": "DFS", + "dls": "Depth-Limited Search", + "dijkstra": "Dijkstra", + "floyd_warshall": "Floyd-Warshall", + "page_rank": "PageRank Algorithm", + "topological_sort": "Topological-Sort", + "tarjan": "Tarjan" + }, + "name": "Graph Search" + }, + "greedy": { + "list": { + "job_scheduling": "Job Scheduling Problem", + "majority_element": "Majority Element(Boyer–Moore majority vote algorithm)" + }, + "name": "Greedy" + }, + "mst": { + "list": { + "kruskal": "Kruskal's Algorithm", + "prim": "Prim's Algorithm" + }, + "name": "Minimum Spanning Tree" + }, + "number_theory": { + "list": { + "euclidean_algorithm": "Euclidean Algorithm", + "sieve_of_eratosthenes": "Sieve of Eratosthenes", + "freivalds_algorithm": "Freivalds Algorithm", + "miller_rabin_primality_test": "Miller-Rabin primality test" + }, + "name": "Number Theory" + }, + "search": { + "list": { + "binary_search": "Binary Search" + }, + "name": "Search" + }, + "sorting": { + "list": { + "bucket": "Bucket Sort", + "bubble": "Bubble Sort", + "comb": "Comb Sort", + "counting": "Counting Sort", + "cycle": "Cycle Sort", + "heap": "Heapsort", + "insertion": "Insertion Sort", + "merge": "Merge Sort", + "pigeonhole": "Pigeonhole Sort", + "quick": "Quicksort", + "radix": "Radix Sort", + "selection": "Selection Sort", + "shell": "Shellsort", + "pancake": "Pancake Sort" + }, + "name": "Sorting" + }, + "string": { + "list": { + "edit_distance": "Edit Distance", + "knuth_morris_pratt": "KMP Substring Search", + "rabin_karp_algorithm": "Rabin-Karp Algorithm", + "suffix_array": "Suffix Array (construction & usage)", + "z_algorithm": "Z Algorithm" + }, + "name": "String" + }, + "tree": { + "list": { + "binary_search_tree": "Binary Search Tree", + "binary_tree_traversal": "Binary Tree Traversal", + "lowest_common_ancestor": "Lowest Common Ancestor" + }, + "name": "Tree" + }, + "etc": { + "list": { + "flood_fill": "Flood Fill", + "cellular_automata": "Cellular Automata", + "create_maze": "Create Maze", + "magic_square": "Magic Square", + "stable_matching": "Stable Matching" + }, + "name": "Uncategorized" + } +} diff --git a/algorithm/cryptography/affine_cipher/basic/code.js b/algorithm/cryptography/affine_cipher/basic/code.js new file mode 100644 index 00000000..4001a7ed --- /dev/null +++ b/algorithm/cryptography/affine_cipher/basic/code.js @@ -0,0 +1,83 @@ +/* + code assumes that plainText contains ONLY LOWER CASE ALPHABETS + */ + +Number.prototype.mod = function (n) { + return ((this % n) + n) % n; +}; + +var keys = {a: 5, b: 7}, + N = 26; + +function encrypt(plainText) { + var cypherText = ''; + + function cryptAlpha(alpha) { + var index = alpha.charCodeAt(0) - 'a'.charCodeAt(0); + var result = ((keys.a * index) + keys.b).mod(N); + + logger._print('Index of ' + alpha + ' = ' + index); + + result += 'a'.charCodeAt(0); + return String.fromCharCode(result); + } + + logger._print('Beginning Affine Encryption'); + logger._print('Encryption formula: ((keys.a * index_of_alphabet) + keys.b) % N'); + logger._print('keys.a=' + keys.a + ', keys.b=' + keys.b + ', N=' + N); + + for (var i in plainText) { + ptTracer._select(i)._wait(); + ptTracer._deselect(i); + + cypherText += cryptAlpha(plainText [i]); + + ptTracer._notify(i, cypherText.slice(-1))._wait(); + ptTracer._denotify(i); + } + + return cypherText; +} + +function decrypt(cypherText) { + var plainText = ''; + var aInverse = (function () { + for (var i = 1; i < N; i++) { + if (((keys.a * i).mod(N)) === 1) { + return i; + } + } + })(); + + logger._print('a-1 = ' + aInverse); + + function decryptAlpha(alpha) { + var index = alpha.charCodeAt(0) - 'a'.charCodeAt(0); + var result = (aInverse * (index - keys.b)).mod(N); + + logger._print('Index of ' + alpha + ' = ' + index); + + result += 'a'.charCodeAt(0); + return String.fromCharCode(result); + } + + logger._print('Beginning Affine Decryption'); + logger._print('Decryption formula: (a-1 * (index - keys.b)) % N'); + logger._print('keys.b=' + keys.b + ', N=' + N); + + for (var i in cypherText) { + ctTracer._select(i)._wait(); + ctTracer._deselect(i)._wait(); + + plainText += decryptAlpha(cypherText [i]); + + ctTracer._notify(i, plainText.slice(-1))._wait(); + ctTracer._denotify(i)._wait(); + } + + return plainText; +} + +var cipherText = encrypt(plainText); +ctTracer._setData(cipherText); +decrypt(cipherText); \ No newline at end of file diff --git a/algorithm/cryptography/affine_cipher/basic/data.js b/algorithm/cryptography/affine_cipher/basic/data.js new file mode 100644 index 00000000..02aa0689 --- /dev/null +++ b/algorithm/cryptography/affine_cipher/basic/data.js @@ -0,0 +1,18 @@ +function randString(length) { + var choices = 'abcdefghijklmnopqrstuvwxyz'; + var text = ''; + + for (var i = 0; i < length; i++) { + text += choices[Integer.random(0, choices.length - 1)]; + } + + return text; +} + +//var plainText = randString (5); +var plainText = 'secret'; +var ptTracer = new Array1DTracer('Encryption'); +var ctTracer = new Array1DTracer('Decryption'); +var logger = new LogTracer(); + +ptTracer._setData(plainText); \ No newline at end of file diff --git a/algorithm/cryptography/affine_cipher/desc.json b/algorithm/cryptography/affine_cipher/desc.json new file mode 100644 index 00000000..533dd278 --- /dev/null +++ b/algorithm/cryptography/affine_cipher/desc.json @@ -0,0 +1,17 @@ +{ + "Affine Cipher": "The affine cipher is a type of monoalphabetic substitution cipher, wherein each letter in an alphabet is mapped to its numeric equivalent, encrypted using a simple mathematical function, and converted back to a letter.", + "Applications": [ + "Cryptanalysis", + "More complex Variations of Affine Cipher are used in practical cryptography" + ], + "Complexity": { + "time": "worst $O(N)$, $N$ = length of plain/cipher text", + "space": "worst $O(N)$, to create the new mapping (plain->cipher, cipher->plain)" + }, + "References": [ + "Practicalcryptography" + ], + "files": { + "basic": "Encrypting and Decrypting a string using affine functions" + } +} diff --git a/algorithm/cryptography/caesar_cipher/basic/code.js b/algorithm/cryptography/caesar_cipher/basic/code.js new file mode 100644 index 00000000..035e468b --- /dev/null +++ b/algorithm/cryptography/caesar_cipher/basic/code.js @@ -0,0 +1,62 @@ +function getPosUp(pos) { + return (pos === alphabet.length - 1) ? 0 : pos + 1; +} + +function getPosDown(pos) { + return (pos === 0) ? alphabet.length - 1 : pos - 1; +} + +function getNextChar(currChar, direction) { + var pos = alphabetMap[currChar]; + var nextPos = direction === 'up' ? getPosUp(pos) : getPosDown(pos); + var nextChar = alphabet.charAt(nextPos); + + logger._print(currChar + ' -> ' + nextChar); + return nextChar; +} + +function cipher(str, rotation, direction, cipherTracer) { + if (!str) return ''; + + for (var i = 0; i < str.length; i++) { + + cipherTracer._wait(); + + var currChar = str.charAt(i); + if (typeof alphabetMap[currChar] === 'number') { // don't encrpt/decrypt characters not in alphabetMap + var r = rotation; + + logger._print('Rotating ' + currChar + ' ' + direction + ' ' + rotation + ' times'); + cipherTracer._select(i)._wait(); + + // perform given amount of rotations in the given direction + while (r-- > 0) { + currChar = getNextChar(currChar, direction); + cipherTracer._notify(i, currChar)._wait(); + } + } else { + logger._print('Ignore this character'); + } + str = str.substring(0, i) + currChar + str.substring(i + 1); + logger._print('Current result: ' + str); + } + + return str; +} + +function encrypt(str, rotation) { + logger._print('Encrypting: ' + str); + return cipher(str, rotation, 'up', encryptTracer); +} + +function decrypt(str, rotation) { + logger._print('Decrypting: ' + str); + return cipher(str, rotation, 'down', decryptTracer); +} + +var encrypted = encrypt(string, rotation); +logger._print('Encrypted result: ' + encrypted); + +decryptTracer._setData(encrypted); +var decrypted = decrypt(encrypted, rotation); +logger._print('Decrypted result: ' + decrypted); diff --git a/algorithm/cryptography/caesar_cipher/basic/data.js b/algorithm/cryptography/caesar_cipher/basic/data.js new file mode 100644 index 00000000..98e9e54a --- /dev/null +++ b/algorithm/cryptography/caesar_cipher/basic/data.js @@ -0,0 +1,16 @@ +var string = 'hello! how are you doing?'; +var rotation = 5; +var alphabet = 'abcdefghijklmnopqrstuvwxyz'; +// create a map of char -> position to improve run time +// otherwise we would have to search the alphabet each +// time to find the character position +var alphabetMap = alphabet.split('').reduce(function(map, curr, idx) { + map[curr] = idx; + return map; +}, {}); + +var encryptTracer = new Array1DTracer('Encryption'); +var decryptTracer = new Array1DTracer('Decryption'); +var logger = new LogTracer(); + +encryptTracer._setData(string); \ No newline at end of file diff --git a/algorithm/cryptography/caesar_cipher/desc.json b/algorithm/cryptography/caesar_cipher/desc.json new file mode 100644 index 00000000..bcf87134 --- /dev/null +++ b/algorithm/cryptography/caesar_cipher/desc.json @@ -0,0 +1,16 @@ +{ + "Caesar Cipher": "In cryptography, a Caesar cipher, also known as Caesar's cipher, the shift cipher, Caesar's code or Caesar shift, is one of the simplest and most widely known encryption techniques. It is a type of substitution cipher in which each letter in the plaintext is replaced by a letter some fixed number of positions down the alphabet. For example, with a left shift of 3, D would be replaced by A, E would become B, and so on. The method is named after Julius Caesar, who used it in his private correspondence.", + "Applications": [ + "Often incorporated as part of more complex schemes, such as the Vigenère cipher" + ], + "Complexity": { + "time": "best O(N * #ofRotations), worst O(N * #ofRotations * alphabetSize)", + "space": "best O(1), worst O(alphabetSize)" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Encrypting and Decrypting a string using character rotation" + } +} diff --git a/algorithm/dp/catalan_number/catalan_number/code.js b/algorithm/dp/catalan_number/catalan_number/code.js new file mode 100644 index 00000000..b7a1411d --- /dev/null +++ b/algorithm/dp/catalan_number/catalan_number/code.js @@ -0,0 +1,21 @@ +A[0] = 1; +tracer._notify ( 0, A[0] )._wait(); +tracer._denotify ( 0 ); +A[1] = 1; +tracer._notify ( 1, A[1] )._wait(); +tracer._denotify ( 1 ); + +for (var i = 2; i <= N; i++) { + for (var j = 0; j < i; j++) { + A[i] += A[j] * A[i-j-1]; + tracer._select( j )._wait(); + tracer._select( i - j -1 )._wait(); + tracer._notify( i, A[i])._wait(); + tracer._deselect( j ); + tracer._deselect( i - j - 1 ); + tracer._denotify( i ); + } +} + +logger._print ( ' The ' + N + 'th Catalan Number is ' + A[N] ); +tracer._select( N )._wait(); \ No newline at end of file diff --git a/algorithm/dp/catalan_number/catalan_number/data.js b/algorithm/dp/catalan_number/catalan_number/data.js new file mode 100644 index 00000000..7793da78 --- /dev/null +++ b/algorithm/dp/catalan_number/catalan_number/data.js @@ -0,0 +1,8 @@ +var N = 10; +var A = new Array ( N+1 ); +for (var i = N; i >= 0; i--) { + A[i] = 0; +} + +var tracer = new Array1DTracer( ' Catalan Numbers ')._setData( A ); +var logger = new LogTracer(); \ No newline at end of file diff --git a/algorithm/dp/catalan_number/desc.json b/algorithm/dp/catalan_number/desc.json new file mode 100644 index 00000000..6dd61762 --- /dev/null +++ b/algorithm/dp/catalan_number/desc.json @@ -0,0 +1,19 @@ +{ + "Catalan Number": " In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects.The Catalan numbers on nonnegative integers n are a set of numbers that arise in tree enumeration problems of the type, 'In how many ways can a regular n-gon be divided into n-2 triangles if different orientations are counted separately?' (Euler's polygon division problem).", + "Applications": [ + "The number of ways to stack coins on a bottom row that consists of n consecutive coins in a plane, such that no coins are allowed to be put on the two sides of the bottom coins and every additional coin must be above two other coins, is the nth Catalan number", + "The number of ways to group a string of n pairs of parentheses, such that each open parenthesis has a matching closed parenthesis, is the nth Catalan number", + "The number of ways to cut an n+2-sided convex polygon in a plane into triangles by connecting vertices with straight, non-intersecting lines is the nth Catalan number. This is the application in which Euler was interested." + ], + "Complexity": { + "time": " $O(N^2)$", + "space": "$O(N)$" + }, + "References": [ + "Wikipedia", + "Sweet Briar College" + ], + "files": { + "catalan_number": "Catalan Number" + } +} diff --git a/algorithm/dp/fibonacci/basic/code.js b/algorithm/dp/fibonacci/basic/code.js new file mode 100644 index 00000000..2e78a356 --- /dev/null +++ b/algorithm/dp/fibonacci/basic/code.js @@ -0,0 +1,7 @@ +for (var i = 2; i < index; i++) { + D[i] = D[i - 2] + D[i - 1]; + tracer._select(i - 2, i - 1)._wait(); + tracer._notify(i, D[i])._wait(); + tracer._denotify(i); + tracer._deselect(i - 2, i - 1); +} \ No newline at end of file diff --git a/algorithm/dp/fibonacci/basic/data.js b/algorithm/dp/fibonacci/basic/data.js new file mode 100644 index 00000000..3c372793 --- /dev/null +++ b/algorithm/dp/fibonacci/basic/data.js @@ -0,0 +1,7 @@ +var tracer = new Array1DTracer('Sequence'); +var index = 15; +var D = [1, 1]; +for (var i = 2; i < index; i++) { + D.push(0); +} +tracer._setData(D); diff --git a/algorithm/dp/fibonacci/desc.json b/algorithm/dp/fibonacci/desc.json new file mode 100644 index 00000000..842f630c --- /dev/null +++ b/algorithm/dp/fibonacci/desc.json @@ -0,0 +1,13 @@ +{ + "Fibonacci Sequence": "Finding Fibonacci sequence using dynamic programming.", + "Complexity": { + "time": "$O(n)$", + "space": "$O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Fibonacci Sequence" + } +} diff --git a/algorithm/dp/integer_partition/basic/code.js b/algorithm/dp/integer_partition/basic/code.js new file mode 100644 index 00000000..883b1a7e --- /dev/null +++ b/algorithm/dp/integer_partition/basic/code.js @@ -0,0 +1,32 @@ +function partition(A, n, p){ + if (n === 0) tracer.logTracer._print('[' + A.join(', ') + ']'); + else { + var end = n; + if (p !== 0 && A[p-1] < n) end = A[p-1]; + for (var i = end; i > 0; i--){ + A[p] = i; + partition(A, n-i, p+1); + } + } +} + +function integerPartition(n){ + //Calculate number of partitions for all numbers from 1 to n + for (var i = 2; i <= n; i++){ + // We are allowed to use numbers from 2 to i + for (var j = 1; j <= i; j++){ + // Number of partitions without j number + number of partitions with max j + tracer._select(i, j)._wait(); + D[i][j] = D[i][j-1] + D[i-j][Math.max(j, i-j)]; + tracer._notify(i, j, D[i][j])._wait(); + tracer._denotify(i, j); + tracer._deselect(i, j); + } + } + return D[n][n]; +} + +tracer.logTracer._print('Partitioning: ' + integer); +partition(A, integer, 0); +var part = integerPartition(integer); +tracer.logTracer._print(part); \ No newline at end of file diff --git a/algorithm/dp/integer_partition/basic/data.js b/algorithm/dp/integer_partition/basic/data.js new file mode 100644 index 00000000..aa5c1215 --- /dev/null +++ b/algorithm/dp/integer_partition/basic/data.js @@ -0,0 +1,10 @@ +var tracer = new Array2DTracer().attach(new LogTracer()); +var integer = Integer.random(5, 14); +var D = [], A = []; +for (var i = 0; i <= integer; i++) { + D.push([]); + D[0][i] = 1; + D[i][1] = 1; + for (var j = 0; j <= integer; j++) D[i][j] = 0; +} +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/dp/integer_partition/desc.json b/algorithm/dp/integer_partition/desc.json new file mode 100644 index 00000000..79ac2673 --- /dev/null +++ b/algorithm/dp/integer_partition/desc.json @@ -0,0 +1,13 @@ +{ + "Integer Partition": "In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.", + "Complexity": { + "time": "$O(n(log \\, n))$", + "space": "$O(n^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Integer partition" + } +} diff --git a/algorithm/dp/knapsack_problem/basic/code.js b/algorithm/dp/knapsack_problem/basic/code.js new file mode 100644 index 00000000..9266e3b4 --- /dev/null +++ b/algorithm/dp/knapsack_problem/basic/code.js @@ -0,0 +1,46 @@ + +for ( var i = 0; i <= N; i++ ) { + for( var j = 0; j <= W; j++ ) { + if( i === 0 || j === 0 ) { + /* + If we have no items or maximum weight we can take in collection is 0 + then the total weight in our collection is 0 + */ + DP[i][0] = 0; + tracer._notify( i, j, DP[i][j])._wait(); + tracer._denotify( i, j); + } else if ( wt[i-1] <= j ) { // take the current item in our collection + + dataViewer1._select(i-1)._wait(); + dataViewer2._select(i-1)._wait(); + tracer._select( i-1, j)._wait(); + + var A = val[i - 1] + DP[i - 1][j - wt[i - 1]]; + var B = DP[i - 1][j]; + /* + find the maximum of these two values + and take which gives us a greater weight + */ + if (A > B) { + DP[i][j] = A; + tracer._notify( i, j, DP[i][j])._wait(); + } else { + DP[i][j] = B; + tracer._notify( i, j, DP[i][j])._wait(); + } + + tracer._deselect( i-1, j); + tracer._denotify( i, j); + dataViewer2._deselect(i-1); + dataViewer1._deselect(i-1); + + } else { // leave the current item from our collection + + DP[i][j] = DP[i - 1][j]; + tracer._notify( i, j, DP[i][j])._wait(); + tracer._denotify( i, j); + } + } +} + +logger._print(' Best value we can achieve is ' + DP[N][W]); diff --git a/algorithm/dp/knapsack_problem/basic/data.js b/algorithm/dp/knapsack_problem/basic/data.js new file mode 100644 index 00000000..322598a3 --- /dev/null +++ b/algorithm/dp/knapsack_problem/basic/data.js @@ -0,0 +1,17 @@ +var val = [1,4,5,7]; // The value of all available items +var wt = [1,3,4,5]; // The weights of available items +var W = 7; // The maximum weight we can carry in our collection +var N = val.length; +var DP = new Array(N+1); + +for (var i = 0; i < N + 1; i++) { + DP[i] = new Array(W+1); + for (var j = 0; j < W + 1; j++) { + DP[i][j] = 0; + } +} + +var tracer = new Array2DTracer('Knapsack Table')._setData(DP); +var dataViewer1 = new Array1DTracer('Values')._setData(val); +var dataViewer2 = new Array1DTracer('Weights')._setData(wt); +var logger = new LogTracer(); diff --git a/algorithm/dp/knapsack_problem/desc.json b/algorithm/dp/knapsack_problem/desc.json new file mode 100644 index 00000000..1abeefcc --- /dev/null +++ b/algorithm/dp/knapsack_problem/desc.json @@ -0,0 +1,13 @@ +{ + "Knapsack Problem": "Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.", + "Complexity": { + "time": "$O(n^2)$", + "space": "$O(n^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Knapsack problem" + } +} diff --git a/algorithm/dp/longest_common_subsequence/basic/code.js b/algorithm/dp/longest_common_subsequence/basic/code.js new file mode 100644 index 00000000..e27597df --- /dev/null +++ b/algorithm/dp/longest_common_subsequence/basic/code.js @@ -0,0 +1,57 @@ +var i,j; + +// Build the memo table in bottom up fashion + for( i = 0; i <= m; i++ ) { + for( j = 0; j <= n; j++ ) { + if ( i === 0 || j === 0 ) { + A[i][j] = 0; + } else if ( string1[i-1] == string2[j-1] ) { + tracer1._select ( i-1 )._wait (); + tracer2._select ( j-1 )._wait (); + tracer3._select ( i-1, j-1 )._wait (); + + A[i][j] = A[i-1][j-1] + 1; + + tracer1._deselect ( i-1 ); + tracer2._deselect ( j-1 ); + tracer3._deselect ( i-1, j-1 ); + } else { + tracer3._select ( i-1, j )._wait (); + tracer3._select ( i, j-1 )._wait (); + + if( A[i-1][j] > A[i][j-1] ) { + A[i][j] = A[i-1][j]; + } else { + A[i][j] = A[i][j-1]; + } + + tracer3._deselect ( i-1, j ); + tracer3._deselect ( i, j-1 ); + } + tracer3._notify ( i, j , A[i][j] )._wait (); + tracer3._denotify( i, j ); + } + } + +var finalString = ''; +i=m; +j=n; +while( i>=1 && j>=1 ) { + + tracer3._select ( i, j )._wait (); + if( string1[i-1] == string2[j-1] ) { + tracer1._select ( i-1 )._wait (); + tracer2._select ( j-1 )._wait (); + + finalString = string1[i-1] + finalString; + i--; + j--; + } else if( A[i-1][j] > A[i][j-1] ) { + i--; + } else { + j--; + } +} + +logger._print ( 'Longest Common Subsequence Length is ' + A[m][n] ); +logger._print ( 'Longest Common Subsequence is ' + finalString ); \ No newline at end of file diff --git a/algorithm/dp/longest_common_subsequence/basic/data.js b/algorithm/dp/longest_common_subsequence/basic/data.js new file mode 100644 index 00000000..bb9da3b0 --- /dev/null +++ b/algorithm/dp/longest_common_subsequence/basic/data.js @@ -0,0 +1,13 @@ +var string1 = 'AGGTAB'; +var string2 = 'GXTXAYB'; +var m = string1.length; +var n = string2.length; +var A = new Array (m+1); +for (var i = 0; i < m+1; i++ ) { + A[i] = new Array (n+1); +} + +var tracer1 = new Array1DTracer ( 'String 1')._setData ( string1 ); +var tracer2 = new Array1DTracer ( 'String 2')._setData ( string2 ); +var tracer3 = new Array2DTracer ( 'Memo Table')._setData ( A ); +var logger = new LogTracer (); \ No newline at end of file diff --git a/algorithm/dp/longest_common_subsequence/desc.json b/algorithm/dp/longest_common_subsequence/desc.json new file mode 100644 index 00000000..f02c3339 --- /dev/null +++ b/algorithm/dp/longest_common_subsequence/desc.json @@ -0,0 +1,13 @@ +{ + "Longest Common Subsequence": "The longest common subsequence (LCS) problem is the problem of finding the longest subsequence common to all sequences in a set of sequences (often just two sequences)." , + "Complexity": { + "time": "$O(m\\cdot n)$", + "space": "$O(m\\cdot n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Longest common subsequence" + } +} diff --git a/algorithm/dp/longest_increasing_subsequence/basic/code.js b/algorithm/dp/longest_increasing_subsequence/basic/code.js new file mode 100644 index 00000000..619a685d --- /dev/null +++ b/algorithm/dp/longest_increasing_subsequence/basic/code.js @@ -0,0 +1,30 @@ +// Initialize LIS values for all indexes +for (var i = 0; i < A.length; i++) { + LIS[i] = 1; +} + +logger._print('Calculating Longest Increasing Subsequence values in bottom up manner '); +// Compute optimized LIS values in bottom up manner +for (var i = 1; i < A.length; i++) { + tracer._select(i); + logger._print(' LIS[' + i + '] = ' + LIS[i]); + for (var j = 0; j < i; j++) { + tracer._notify(j)._wait(); + tracer._denotify(j); + if (A[i] > A[j] && LIS[i] < LIS[j] + 1) { + LIS[i] = LIS[j] + 1; + logger._print(' LIS[' + i + '] = ' + LIS[i]); + } + } + tracer._deselect(i); +} + +// Pick maximum of all LIS values +logger._print('Now calculate maximum of all LIS values '); +var max = LIS[0]; +for (var i = 1; i < A.length; i++) { + if (max < LIS[i]) { + max = LIS[i]; + } +} +logger._print('Longest Increasing Subsequence = max of all LIS = ' + max); diff --git a/algorithm/dp/longest_increasing_subsequence/basic/data.js b/algorithm/dp/longest_increasing_subsequence/basic/data.js new file mode 100644 index 00000000..6495e0cb --- /dev/null +++ b/algorithm/dp/longest_increasing_subsequence/basic/data.js @@ -0,0 +1,5 @@ +var tracer = new Array1DTracer(); +var logger = new LogTracer(); +var A = Array1D.random(10, 0, 10); +var LIS = new Array(A.length); +tracer._setData(A); \ No newline at end of file diff --git a/algorithm/dp/longest_increasing_subsequence/desc.json b/algorithm/dp/longest_increasing_subsequence/desc.json new file mode 100644 index 00000000..e8df2cb3 --- /dev/null +++ b/algorithm/dp/longest_increasing_subsequence/desc.json @@ -0,0 +1,13 @@ +{ + "Longest Increasing Subsequence": "Find the length of the longest subsequence of a given sequence such that all elements of the subsequence are sorted in increasing order", + "Complexity": { + "time": "$O(n(log\\,n))$", + "space": "$O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Longest increasing subsequence" + } +} diff --git a/algorithm/dp/longest_palindromic_subsequence/basic/code.js b/algorithm/dp/longest_palindromic_subsequence/basic/code.js new file mode 100644 index 00000000..5a066e4f --- /dev/null +++ b/algorithm/dp/longest_palindromic_subsequence/basic/code.js @@ -0,0 +1,60 @@ +function max(a,b) { + if(a>b){ + return a; + } else { + return b; + } +} +logger._print("LPS for any string with length = 1 is 1"); +for(i=2;i<=N;i++) { + logger._print("--------------------------------------------------"); + logger._print("Considering a sub-string of length "+i); + logger._print("--------------------------------------------------"); + for(j=0;jGeeksForGeeks" + ], + "files": { + "basic": "Longest Palindromic Subsequence" + } +} diff --git a/algorithm/dp/max_subarray/basic/code.js b/algorithm/dp/max_subarray/basic/code.js new file mode 100644 index 00000000..128cce69 --- /dev/null +++ b/algorithm/dp/max_subarray/basic/code.js @@ -0,0 +1,30 @@ +var maxSubarraySum = (function maxSubarray(array) { + var maxSoFar = 0, + maxEndingHere = 0; + + logger._print('Initializing maxSoFar = 0 & maxEndingHere = 0'); + + for (var i = 0; i < array.length; i++) { + tracer._select(i); + logger._print(maxEndingHere + ' + ' + array[i]); + maxEndingHere += array[i]; + logger._print('=> ' + maxEndingHere); + + if (maxEndingHere < 0) { + logger._print('maxEndingHere is negative, set to 0'); + maxEndingHere = 0; + } + + if (maxSoFar < maxEndingHere) { + logger._print('maxSoFar < maxEndingHere, setting maxSoFar to maxEndingHere (' + maxEndingHere + ')'); + maxSoFar = maxEndingHere; + } + + tracer._wait(); + tracer._deselect(i); + } + + return maxSoFar; +})(D); + +logger._print('Maximum Subarray\'s Sum is: ' + maxSubarraySum); \ No newline at end of file diff --git a/algorithm/dp/max_subarray/basic/data.js b/algorithm/dp/max_subarray/basic/data.js new file mode 100644 index 00000000..da239d21 --- /dev/null +++ b/algorithm/dp/max_subarray/basic/data.js @@ -0,0 +1,4 @@ +var tracer = new Array1DTracer(); +var logger = new LogTracer(); +var D = [-2, -3, 4, -1, -2, 1, 5, -3]; +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/dp/max_subarray/desc.json b/algorithm/dp/max_subarray/desc.json new file mode 100644 index 00000000..3d04f7be --- /dev/null +++ b/algorithm/dp/max_subarray/desc.json @@ -0,0 +1,13 @@ +{ + "Maximum Subarray": "Find the sum of the maximum Subarray in the given Array", + "Complexity": { + "time": "$O(n)$", + "space": "$O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Maximum subarray" + } +} diff --git a/algorithm/dp/max_sum_path/basic/code.js b/algorithm/dp/max_sum_path/basic/code.js new file mode 100644 index 00000000..d08cbe2e --- /dev/null +++ b/algorithm/dp/max_sum_path/basic/code.js @@ -0,0 +1,29 @@ +var N = DP.length; +var M = DP[0].length; +function update(i, j, value) { + DP[i][j] = value; + dataViewer._select(i, j)._wait(); + tracer._notify(i, j, DP[i][j])._wait(); + tracer._denotify(i, j); + dataViewer._deselect(i, j); +} +for (var i = 0; i < N; i++) { + for (var j = 0; j < M; j++) { + if (i === 0 && j === 0) { + update(i, j, D[i][j]); + } else if (i === 0) { + tracer._select(i, j - 1); + update(i, j, DP[i][j - 1] + D[i][j]); + tracer._deselect(i, j - 1); + } else if (j === 0) { + tracer._select(i - 1, j); + update(i, j, DP[i - 1][j] + D[i][j]); + tracer._deselect(i - 1, j); + } else { + tracer._select(i, j - 1)._select(i - 1, j); + update(i, j, Math.max(DP[i][j - 1], DP[i - 1][j]) + D[i][j]); + tracer._deselect(i, j - 1)._deselect(i - 1, j); + } + } +} +logger._print('max = ' + DP[N - 1][M - 1]); \ No newline at end of file diff --git a/algorithm/dp/max_sum_path/basic/data.js b/algorithm/dp/max_sum_path/basic/data.js new file mode 100644 index 00000000..505f5a9e --- /dev/null +++ b/algorithm/dp/max_sum_path/basic/data.js @@ -0,0 +1,12 @@ +var D = Array2D.random(5, 5, 1, 5); +var dataViewer = new Array2DTracer()._setData(D); +var tracer = new Array2DTracer('Results Table'); +var logger = new LogTracer(); +var DP = []; +for (var i = 0; i < D.length; i++) { + DP.push([]); + for (var j = 0; j < D[i].length; j++) { + DP[i].push(Infinity); + } +} +tracer._setData(DP); diff --git a/algorithm/dp/max_sum_path/desc.json b/algorithm/dp/max_sum_path/desc.json new file mode 100644 index 00000000..4127969c --- /dev/null +++ b/algorithm/dp/max_sum_path/desc.json @@ -0,0 +1,12 @@ +{ + "Maximum Sum Path": "Finding the maximum sum in a path from (0, 0) to (N-1, M-1) when can only move to right or down", + "Complexity": { + "time": "$O(n)$", + "space": "$O(n)$" + }, + "References": [ + ], + "files": { + "basic": "Maximum sum path" + } +} diff --git a/algorithm/dp/pascal_triangle/desc.json b/algorithm/dp/pascal_triangle/desc.json new file mode 100644 index 00000000..3218b4f1 --- /dev/null +++ b/algorithm/dp/pascal_triangle/desc.json @@ -0,0 +1,17 @@ +{ + "Pascal's Triangle": " Pascal's triangle is a triangular array of the binomial coefficients.", + "Applications": [ + "Binomial Expansion", + "Probability" + ], + "Complexity": { + "time": " $O(N^2)$", + "space": "$O(N^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "pascal_triangle": "Pascal's Triangle" + } +} diff --git a/algorithm/dp/pascal_triangle/pascal_triangle/code.js b/algorithm/dp/pascal_triangle/pascal_triangle/code.js new file mode 100644 index 00000000..a147990c --- /dev/null +++ b/algorithm/dp/pascal_triangle/pascal_triangle/code.js @@ -0,0 +1,20 @@ +for ( var i = 0; i < N; i++ ) { + for ( var j = 0; j <= i; j++ ) { + if( j === i || j === 0 ) { // First and last values in every row are 1 + A[i][j] = 1; + + tracer._notify( i, j, A[i][j])._wait(); + tracer._denotify( i, j); + } else { // Other values are sum of values just above and left of above + tracer._select( i-1, j-1)._wait(); + tracer._select( i-1, j)._wait(); + + A[i][j] = A[i-1][j-1] + A[i-1][j]; + + tracer._notify( i, j, A[i][j])._wait(); + tracer._denotify( i, j); + tracer._deselect( i-1, j-1); + tracer._deselect( i-1, j); + } + } +} \ No newline at end of file diff --git a/algorithm/dp/pascal_triangle/pascal_triangle/data.js b/algorithm/dp/pascal_triangle/pascal_triangle/data.js new file mode 100644 index 00000000..d16b6720 --- /dev/null +++ b/algorithm/dp/pascal_triangle/pascal_triangle/data.js @@ -0,0 +1,7 @@ +var N = 9; +var A = new Array (N); +for (var i = N - 1; i >= 0; i--) { + A[i] = new Array (N); +} + +var tracer = new Array2DTracer ('Pascal\'s Triangle')._setData(A); diff --git a/algorithm/dp/shortest_common_supersequence/basic/code.js b/algorithm/dp/shortest_common_supersequence/basic/code.js new file mode 100644 index 00000000..580fb2df --- /dev/null +++ b/algorithm/dp/shortest_common_supersequence/basic/code.js @@ -0,0 +1,38 @@ +var i,j; + +// Fill memo table in bottom up manner +for ( i = 0; i <= m; i++ ) { + for ( j = 0; j <= n; j++ ) { + if( i === 0 ) { + A[i][j] = j; + } else if ( j === 0 ) { + A[i][j] = i; + } else if ( string1[i-1] == string2[j-1] ) { + tracer1._select ( i-1 )._wait (); + tracer2._select ( j-1 )._wait (); + tracer3._select ( i-1, j-1 )._wait (); + + A[i][j] = A[i-1][j-1] + 1; + + tracer1._deselect ( i-1 ); + tracer2._deselect ( j-1 ); + tracer3._deselect ( i-1, j-1 ); + } else { + tracer3._select ( i-1, j )._wait (); + tracer3._select ( i, j-1 )._wait (); + + if ( A[i-1][j] < A[i][j-1] ) { + A[i][j] = 1 + A[i-1][j]; + } else { + A[i][j] = 1 + A[i][j-1]; + } + + tracer3._deselect ( i-1, j ); + tracer3._deselect ( i, j-1 ); + } + tracer3._notify ( i, j , A[i][j] )._wait (); + tracer3._denotify( i, j ); + } +} + + logger._print ( 'Shortest Common Supersequence is ' + A[m][n] ); diff --git a/algorithm/dp/shortest_common_supersequence/basic/data.js b/algorithm/dp/shortest_common_supersequence/basic/data.js new file mode 100644 index 00000000..bb9da3b0 --- /dev/null +++ b/algorithm/dp/shortest_common_supersequence/basic/data.js @@ -0,0 +1,13 @@ +var string1 = 'AGGTAB'; +var string2 = 'GXTXAYB'; +var m = string1.length; +var n = string2.length; +var A = new Array (m+1); +for (var i = 0; i < m+1; i++ ) { + A[i] = new Array (n+1); +} + +var tracer1 = new Array1DTracer ( 'String 1')._setData ( string1 ); +var tracer2 = new Array1DTracer ( 'String 2')._setData ( string2 ); +var tracer3 = new Array2DTracer ( 'Memo Table')._setData ( A ); +var logger = new LogTracer (); \ No newline at end of file diff --git a/algorithm/dp/shortest_common_supersequence/desc.json b/algorithm/dp/shortest_common_supersequence/desc.json new file mode 100644 index 00000000..b173efaa --- /dev/null +++ b/algorithm/dp/shortest_common_supersequence/desc.json @@ -0,0 +1,13 @@ +{ + "Shortest Common Supersequence": "n computer science, the shortest common supersequence problem is a problem closely related to the longest common subsequence problem. Given two sequences X = < x1,...,xm > and Y = < y1,...,yn >, a sequence U = < u1,...,uk > is a common supersequence of X and Y if U is a supersequence of both X and Y. In other words, a shortest common supersequence of strings x and y is a shortest string z such that both x and y are subsequences of z." , + "Complexity": { + "time": "$O(m\\cdot n)$", + "space": "$O(m\\cdot n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Shortest common supersequence" + } +} diff --git a/algorithm/dp/sliding_window/basic/code.js b/algorithm/dp/sliding_window/basic/code.js new file mode 100644 index 00000000..3d08b12c --- /dev/null +++ b/algorithm/dp/sliding_window/basic/code.js @@ -0,0 +1,13 @@ +var sum = D[0] + D[1] + D[2]; +var max = sum; +tracer._select(0, 2); +logger._print('sum = ' + sum)._wait(); +for (var i = 3; i < D.length; i++) { + sum += D[i] - D[i - 3]; + if (max < sum) max = sum; + tracer._deselect(i - 3); + tracer._select(i); + logger._print('sum = ' + sum)._wait(); +} +tracer._deselect(D.length - 3, D.length - 1); +logger._print('max = ' + max); \ No newline at end of file diff --git a/algorithm/dp/sliding_window/basic/data.js b/algorithm/dp/sliding_window/basic/data.js new file mode 100644 index 00000000..62870a1b --- /dev/null +++ b/algorithm/dp/sliding_window/basic/data.js @@ -0,0 +1,5 @@ +var tracer = new Array1DTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var D = Array1D.random(20, -5, 5); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/dp/sliding_window/desc.json b/algorithm/dp/sliding_window/desc.json new file mode 100644 index 00000000..3e64ddec --- /dev/null +++ b/algorithm/dp/sliding_window/desc.json @@ -0,0 +1,12 @@ +{ + "Sliding Window": "Finding the largest sum of three contiguous number", + "Complexity": { + "time": "$O(n)$", + "space": "$O(n)$" + }, + "References": [ + ], + "files": { + "basic": "Sliding window" + } +} diff --git a/algorithm/dp/ugly_numbers/basic/code.js b/algorithm/dp/ugly_numbers/basic/code.js new file mode 100644 index 00000000..82e32557 --- /dev/null +++ b/algorithm/dp/ugly_numbers/basic/code.js @@ -0,0 +1,35 @@ +for ( var i = 1; i < N; i++ ) { + // next is minimum of m2, m3 and m5 + var next = (M[0] <= M[1])?( M[0] <= M[2] )?M[0]:M[2]:( M[1] <= M[2] )?M[1]:M[2]; + logger._print( ' Minimum of ' + M[0] + ', ' + M[1] + ', ' + M[2] + " : " + next ); + A[i] = next; + + tracer._notify( i, A[i] )._wait(); + tracer._denotify( i ); + + if ( next === M[0] ) { + I[0]++; + M[0] = A[I[0]] * 2; + tracer2._notify( 0, M[0])._wait(); + tracer3._notify( 0, I[0])._wait(); + tracer2._denotify(0); + tracer3._denotify(0); + + } + if ( next === M[1] ) { + I[1]++; + M[1] = A[I[1]] * 3; + tracer2._notify( 1, M[1])._wait(); + tracer3._notify( 1, I[1])._wait(); + tracer2._denotify(1); + tracer3._denotify(1); + } + if ( next === M[2] ) { + I[2]++; + M[2] = A[I[2]] * 5; + tracer2._notify( 2, M[2])._wait(); + tracer3._notify( 2, I[2])._wait(); + tracer2._denotify(2); + tracer3._denotify(2); + } +} diff --git a/algorithm/dp/ugly_numbers/basic/data.js b/algorithm/dp/ugly_numbers/basic/data.js new file mode 100644 index 00000000..29e69e4b --- /dev/null +++ b/algorithm/dp/ugly_numbers/basic/data.js @@ -0,0 +1,14 @@ +var N = 15; +var A = new Array(N); +for (var i = N - 1; i >= 0; i--) { + A[i] = 0; +} +A[0] = 1; // By convention 1 is an ugly number + +var M = [2,3,5]; // multiples of 2, 3, 5 respectively +var I = [0,0,0]; // iterators of 2, 3, 5 respectively + +var tracer = new Array1DTracer('Ugly Numbers')._setData(A); +var tracer2 = new Array1DTracer('Multiples of 2, 3, 5')._setData(M); +var tracer3 = new Array1DTracer(' Iterators I0, I1, I2 ')._setData(I); +var logger = new LogTracer(); \ No newline at end of file diff --git a/algorithm/dp/ugly_numbers/desc.json b/algorithm/dp/ugly_numbers/desc.json new file mode 100644 index 00000000..0b36c04f --- /dev/null +++ b/algorithm/dp/ugly_numbers/desc.json @@ -0,0 +1,13 @@ +{ + "Ugly Numbers": "Ugly numbers are numbers whose only prime factors are 2, 3 or 5. The sequence (1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, …) shows the first 11 ugly numbers. By convention, 1 is included. The given code displays the first N ugly numbers.", + "Complexity": { + "time": "$O(n)$", + "space": "$O(n)$" + }, + "References": [ + "Algorithmist" + ], + "files": { + "basic": "Ugly Numbers" + } +} diff --git a/algorithm/etc/cellular_automata/cellular_automata/code.js b/algorithm/etc/cellular_automata/cellular_automata/code.js new file mode 100644 index 00000000..9bb50f27 --- /dev/null +++ b/algorithm/etc/cellular_automata/cellular_automata/code.js @@ -0,0 +1,56 @@ +function CellularAutomata(fillShape, emptyShape) { + var nextGrid = []; + + for (let i = 0; i < G.length; i++) { + nextGrid[i] = []; + for (let j = 0; j < G[i].length; j++) { + var adjCount = 0; + var twoAwayCount = 0; + //look at the states of the neighboring cells + for (var x = -2; x <= 2; x++) { + for (var y = -2; y <= 2; y++) { + if ((i + x >= 0 && i + x < G.length) && (j + y >= 0 && j + y < G[i].length)) { + if (!(x !== 0 && y !== 0) && G[i + x][j + y] == emptyShape) { + if (x == -2 || x == 2 || y == -2 || y == 2) { + twoAwayCount++; + } else { + adjCount++; + } + } + } + } + } + //change the current cell's state according to these rules + if ((adjCount >= 5)) { + nextGrid[i][j] = fillShape; + } else if (adjCount <= 1) { + if (twoAwayCount < 3) { + nextGrid[i][j] = fillShape; + } else { + nextGrid[i][j] = emptyShape; + } + } else { + nextGrid[i][j] = emptyShape; + } + } + } + + for (let i = 0; i < nextGrid.length; i++) { + for (let j = 0; j < nextGrid[i].length; j++) { + tracer._denotify(i, j, G[i][j]); + tracer._select(i, j)._wait(); + G[i][j] = nextGrid[i][j]; + if (G[i][j] == fillShape) { + tracer._notify(i, j, G[i][j]); + } else { + tracer._notify(i, j, G[i][j]); + tracer._denotify(i, j, G[i][j]); + tracer._deselect(i, j); + } + } + } +} + +for (var iter = 0; iter < generations; iter++) { + CellularAutomata('#', '.'); +} \ No newline at end of file diff --git a/algorithm/etc/cellular_automata/cellular_automata/data.js b/algorithm/etc/cellular_automata/cellular_automata/data.js new file mode 100644 index 00000000..167e61b9 --- /dev/null +++ b/algorithm/etc/cellular_automata/cellular_automata/data.js @@ -0,0 +1,28 @@ +var gridSize = 10; +var generations = 4; +var fillChance = 0.55; + +var G = []; +var nextG = []; +for (var i = 0; i < gridSize; i++) { + G[i] = []; + nextG[i] = []; + for (var j = 0; j < gridSize; j++) { + if (Math.random() < fillChance || i === 0 || j === 0 || i == gridSize - 1 || j == gridSize - 1) { + G[i][j] = '#'; + } else { + G[i][j] = '.'; + } + nextG[i][j] = '#'; + } +} +var tracer = new Array2DTracer (); +tracer._setData(G); + +for (var gi = 0; gi < G.length; gi++) { + for (var gj = 0; gj < G[gi].length; gj++) { + if (G[gi][gj] == '#') { + tracer._notify(gi, gj, G[gi][gj]); + } + } +} \ No newline at end of file diff --git a/algorithm/etc/cellular_automata/desc.json b/algorithm/etc/cellular_automata/desc.json new file mode 100644 index 00000000..2c60e764 --- /dev/null +++ b/algorithm/etc/cellular_automata/desc.json @@ -0,0 +1,9 @@ +{ + "Cellular Automata": "Uses a grid of cells and looks at each cell and the state (ex: on/off) of each of the surrounding neighbor cells and changes the state of the current cell according to a set of rules based on the neighbor cells' states.", + "References": [ + "Wikipedia" + ], + "files": { + "cellular_automata": "" + } +} diff --git a/algorithm/etc/create_maze/create_maze/code.js b/algorithm/etc/create_maze/create_maze/code.js new file mode 100644 index 00000000..282072fb --- /dev/null +++ b/algorithm/etc/create_maze/create_maze/code.js @@ -0,0 +1,332 @@ +function buildMaze(){ + var mySet = new disjoint_set(); + var width = m; + var height = n; + var setSize = 0; + var graph = []; + var visitedMap = {}; + var walls = {}; + var rightWalls = []; + var downWalls = []; + var location = 0; + + mySet.addElements(width*height); + + logger._print("initializing grid (all walls are up)"); + // init 'graph' + // each room has two walls, a down and right wall. + for (var i = 0; i < width; i++) { + graph[i] = new Array(height); + for(var j = 0; j < height; j++){ + graph[i][j] = location; + + walls[location] = {down: true, right: true}; + visitedMap[location] = false; + + // If you can label the rooms with just 2 digits + if (width*height < 100) { + var location_string = location.toString(); + + G[j*2 + 1][i*3 + 1] = location_string[0]; + G[j*2 + 1][i*3 + 2] = location_string[1]; + + tracer._setData(G); + } + + rightWalls.push({x:i, y:j}); + downWalls.push({x:i, y:j}); + location++; + } + } + + logger._print("shuffled the walls for random selection"); + // Randomly shuffle the walls + var rightWalls = shuffle(rightWalls); + var downWalls = shuffle(downWalls); + + // Picking random walls to remove + while(setSize != mySet.elements - 1){ + var randomWall = Math.floor((Math.random() * 2) + 1); + if(randomWall === 1 && downWalls.length > 0){ + // Down wall + var current_room = downWalls.pop(); + var i_x = current_room.x; + var i_y = current_room.y; + var i_y_down = i_y + 1; + if(i_y_down < height){ + var u = graph[i_x][i_y]; + var v = graph[i_x][i_y_down]; + tracer._notify(i_y*2 + 1, i_x*3 + 1); + tracer._notify(i_y*2 + 1, i_x*3 + 2); + tracer._notify(i_y_down*2 + 1, i_x*3 + 1); + tracer._notify(i_y_down*2 + 1, i_x*3 + 2); + if(mySet.find(u) != mySet.find(v)){ + logger._print('Rooms: ' + u + ' & ' + v + ' now belong to the same set, delete wall between them'); + + logger._wait(); + mySet.setUnion(u,v); + setSize++; + // delete wall + walls[u].down = false; + }else{ + logger._print('Rooms: ' + u + ' & ' + v + ' would create a cycle! This is not good!'); + logger._wait(); + } + } + tracer._clear(); + }else if(randomWall === 2 && rightWalls.length > 0){ + // Right Wall + var current_room = rightWalls.pop(); + var i_x = current_room.x; + var i_y = current_room.y; + var i_x_right = i_x + 1; + if(i_x_right < width){ + var u = graph[i_x][i_y]; + var v = graph[i_x_right][i_y]; + tracer._notify(i_y*2 + 1, i_x*3 + 1); + tracer._notify(i_y*2 + 1, i_x*3 + 2); + tracer._notify(i_y*2 + 1, i_x_right*3 + 1); + tracer._notify(i_y*2 + 1, i_x_right*3 + 2); + if(mySet.find(u) != mySet.find(v)){ + logger._print('Rooms: ' + u + ' & ' + v + ' now belong to the same set, delete wall between them'); + + logger._wait(); + mySet.setUnion(u,v); + setSize++; + // delete wall + walls[u].right = false; + }else{ + logger._print('Rooms: ' + u + ' & ' + v + ' would create a cycle! This is not good!'); + logger._wait(); + } + } + tracer._clear(); + } + } + + tracer._clear(); + + logger._print("deleting the walls"); + //update deleted walls + for (var i = 0; i < width; i++) { + for(var j = 0; j < height; j++){ + var current_wall = walls[graph[i][j]]; + + if(current_wall.down === false){ + G[j*2 + 2][i*3 + 1] = ' '; + G[j*2 + 2][i*3 + 2] = ' '; + tracer._select(j*2 + 2, i*3 + 1)._wait(); + tracer._select(j*2 + 2, i*3 + 2)._wait(); + } + + if(current_wall.right === false){ + G[j*2 + 1][i*3 + 3] = ' '; + tracer._select(j*2 +1 , i*3 + 3)._wait(); + } + tracer._setData(G); + } + } + logger._print('cleaning up the grid!'); + cleanUpGrid(width,height); + + // Clear out walls for the start and end locations. + var random_start = Math.floor(Math.random()*width); + var random_end = Math.floor(Math.random()*width); + + logger._print('setting the Start (S) & End (E) locations'); + + // Start Location + G[0][random_start*3 + 1] = ' '; + G[0][random_start*3 + 2] = ' '; + G[1][random_start*3 + 1] = 'S'; + + // End Location + G[v_end - 1][random_end*3 + 1] = ' '; + G[v_end - 1][random_end*3 + 2] = ' '; + G[v_end - 2][random_end*3 + 1] = 'E'; + + cleanUpStartLocation(random_start); + cleanUpEndLocation(random_end); + + logger._print('maze is completed!'); + + // set the data + tracer._setData(G); +} +function cleanUpStartLocation(start){ + if(G[0][start*3] === "┬" && G[1][start*3] === '│'){ + G[0][start*3] = '┐'; + } + if(G[0][start*3 + 3] === "┬" && G[1][start * 3 + 3] === '│'){ + G[0][start*3 + 3] = '┌'; + } + if(G[0][start*3] === '┌'){ + G[0][start*3] = '│'; + } + if(G[0][start*3 + 3] === '┐'){ + G[0][start*3 + 3] = '│'; + } +} + +function cleanUpEndLocation(end){ + if(G[v_end - 1][end*3] === '┴' && G[v_end - 2][end*3] === '│'){ + G[v_end - 1][end*3] = '┘'; + } + if(G[v_end - 1][end*3+3] === '┴' && G[v_end - 2][end*3+3] === '│'){ + G[v_end - 1][end*3+3] = '└'; + } + if(G[v_end - 1][end*3] === '└'){ + G[v_end - 1][end*3] = '│'; + } + if(G[v_end - 1][end*3 + 3] === '┘'){ + G[v_end - 1][end*3 + 3] = '│'; + } +} + +function cleanUpGrid(width,height){ + // Remove room numbers + for (var i = 0; i < width; i++) { + for(var j = 0; j < height; j++){ + G[j*2 + 1][i*3 + 1] = ' '; + G[j*2 + 1][i*3 + 2] = ' '; + } + } + + // clean up grid for looks + for (var i = 0; i < v_end; i++) { + for(var j = 0; j < h_end; j++){ + + if(G[i][j] === '├'){ + if(G[i][j+1] === ' '){ + G[i][j] = '│'; + } + } + + if(G[i][j] === '┤'){ + if(G[i][j-1] === ' '){ + G[i][j] = '│'; + } + } + + if(G[i][j] === '┬'){ + if(G[i+1][j] === ' '){ + G[i][j] = '─'; + } + } + + if(G[i][j] === '┴'){ + if(G[i-1][j] === ' '){ + G[i][j] = '─'; + } + } + + if(G[i][j] === '┼'){ + if(G[i][j+1] === ' '&& G[i-1][j] === ' ' && G[i][j-1] !== ' ' && G[i+1][j] !== ' '){ + G[i][j] = '┐'; + } + else if(G[i][j-1] === ' '&& G[i-1][j] === ' ' && G[i+1][j] !== ' ' && G[i][j+1] !== ' '){ + G[i][j] = '┌'; + } + else if(G[i][j-1] === ' '&& G[i+1][j] === ' ' && G[i-1][j] !== ' ' && G[i][j+1] !== ' '){ + G[i][j] = '└'; + } + else if(G[i][j+1] === ' '&& G[i+1][j] === ' ' && G[i-1][j] !== ' ' && G[i][j-1] !== ' '){ + G[i][j] = '┘'; + } + + else if(G[i][j+1] === ' '&& G[i][j-1] === ' ' && (G[i+1][j] === ' ' || G[i-1][j] === ' ')){ + G[i][j] = '│'; + } + else if(G[i+1][j] === ' '&& G[i-1][j] === ' ' && (G[i][j-1] === ' ' || G[i][j+1] === ' ')){ + G[i][j] = '─'; + } + + else if(G[i][j+1] === ' '&& G[i][j-1] === ' ' ){ + G[i][j] = '│'; + } + else if(G[i+1][j] === ' '&& G[i-1][j] === ' '){ + G[i][j] = '─'; + } + else if(G[i+1][j] === ' ' && G[i-1][j] !== ' ' && G[i][j-1] !== ' ' && G[i][j+1] !== ' '){ + G[i][j] = '┴'; + } + + else if(G[i-1][j] === ' ' && G[i+1][j] !== ' ' && G[i][j+1] !== ' ' && G[i][j-1] !== ' '){ + G[i][j] = '┬'; + } + + else if(G[i][j+1] === ' ' && G[i-1][j] !== ' ' && G[i+1][j] !== ' ' && G[i][j-1] !== ' '){ + G[i][j] = '┤'; + } + + else if(G[i][j-1] === ' ' && G[i-1][j] !== ' ' && G[i+1][j] !== ' ' && G[i][j+1] !== ' '){ + G[i][j] = '├'; + } + + + } + + } + } +} + +class disjoint_set { + constructor(){ + this.set = []; + this.elements = 0; + } + addElements(numberOfElements){ + for(var i = 0; i < numberOfElements; i++){ + this.elements++; + this.set.push(-1); + } + } + find(element){ + if(this.set[element] < 0){ + return element; + }else { + return this.set[element] = this.find(this.set[element]); + } + } + setUnion(_a,_b){ + var a = this.find(_a); + var b = this.find(_b); + + if(a != b){ + var newSize = (this.set[a] + this.set[b]); + if(this.compareSize(a,b)){ + this.set[b] = a; + this.set[a] = newSize; + }else{ + this.set[a] = b; + this.set[b] = newSize; + } + } + } + compareSize(a,b){ + if(this.set[a] === this.set[b]){ + return true; + }else if(this.set[a] < this.set[b]){ + return true; + }else{ + return false; + } + } +} + +// http://bost.ocks.org/mike/shuffle/ +function shuffle(array) { + var m = array.length, t, i; + // While there remain elements to shuffle… + while (m) { + // Pick a remaining element… + i = Math.floor(Math.random() * m--); + // And swap it with the current element. + t = array[m]; + array[m] = array[i]; + array[i] = t; + } + return array; +} + +buildMaze(); diff --git a/algorithm/etc/create_maze/create_maze/data.js b/algorithm/etc/create_maze/create_maze/data.js new file mode 100644 index 00000000..1d656ccc --- /dev/null +++ b/algorithm/etc/create_maze/create_maze/data.js @@ -0,0 +1,57 @@ +var tracer = new Array2DTracer(); +var logger = new LogTracer(); +var n = 6; // rows (change these!) +var m = 6; // columns (change these!) + +var h_end = m * 4 - (m-1); +var v_end = n * 3 - (n-1); + +var G = []; + +for (var i = 0; i < v_end; i++) { // by row + G[i] = new Array(h_end); + for(var j = 0; j < h_end; j++){ // by column + + G[i][j] = ' '; + + if(i === 0 && j === 0){ // top-left corner + G[i][j] = '┌'; + }else if( i === 0 && j === h_end-1){ // top-right corner + G[i][j] = '┐'; + }else if(i === v_end - 1 && j === 0){ // bottom-left corner + G[i][j] = '└'; + }else if(i === v_end - 1 && j === h_end - 1){ // bottom-right corner + G[i][j] = '┘'; + }else if( (j % 3 === 0) && (i % v_end !== 0 && i !== v_end-1 && i % 2 == 1)){ + G[i][j] = '│'; + }else if (i % 2 === 0){ + G[i][j] = '─'; + } + + if(m > 1){ // More than one column + if( j % 3 === 0 && j !== 0 && j !== h_end - 1 && i === 0){ + G[i][j] = '┬'; + } + if( j % 3 === 0 && j !== 0 && j !== h_end - 1 && i === v_end-1){ + G[i][j] = '┴'; + } + } + + if(n > 1){ // More than one row + if(i % 2 === 0 && i !== 0 && i !==v_end-1 && j === 0){ + G[i][j] = '├'; + } + if(i % 2 === 0 && i !== 0 && i !==v_end-1 && j === h_end-1){ + G[i][j] = '┤'; + } + } + + if(n > 1 && m > 1){ // More than one row and column + if(i % 2 === 0 && j % 3 === 0 && i !== 0 && j !== 0 && i !== v_end-1 && j !== h_end-1){ + G[i][j] = '┼'; + } + } + } +} + +tracer._setData(G); diff --git a/algorithm/etc/create_maze/desc.json b/algorithm/etc/create_maze/desc.json new file mode 100644 index 00000000..5f65fd11 --- /dev/null +++ b/algorithm/etc/create_maze/desc.json @@ -0,0 +1,9 @@ +{ + "Create Maze": "Building a maze can be done with using disjoint sets.", + "References": [ + "Disjoint Sets Wikipedia" + ], + "files": { + "create_maze": "" + } +} diff --git a/algorithm/etc/flood_fill/desc.json b/algorithm/etc/flood_fill/desc.json new file mode 100644 index 00000000..9d6f1ebc --- /dev/null +++ b/algorithm/etc/flood_fill/desc.json @@ -0,0 +1,9 @@ +{ + "Flood Fill": "Flood fill, also called seed fill, is an algorithm that determines the area connected to a given node in a multi-dimensional array", + "References": [ + "Wikipedia" + ], + "files": { + "flood_fill": "" + } +} diff --git a/algorithm/etc/flood_fill/flood_fill/code.js b/algorithm/etc/flood_fill/flood_fill/code.js new file mode 100644 index 00000000..fb12b1ac --- /dev/null +++ b/algorithm/etc/flood_fill/flood_fill/code.js @@ -0,0 +1,20 @@ +function FloodFill(i, j, oldColor, newColor) { + + if (i < 0 || i >= G.length || j < 0 || j >= G[i].length) return; + if (G[i][j] != oldColor) return; + + // set the color of node to newColor + G[i][j] = newColor; + + tracer._select(i, j)._wait(); + tracer._notify(i, j, G[i][j])._wait(); + + // next step four-way + FloodFill(i + 1, j, oldColor, newColor); + FloodFill(i - 1, j, oldColor, newColor); + FloodFill(i, j + 1, oldColor, newColor); + FloodFill(i, j - 1, oldColor, newColor); +} + +FloodFill(4, 4, '-', 'a'); + diff --git a/algorithm/etc/flood_fill/flood_fill/data.js b/algorithm/etc/flood_fill/flood_fill/data.js new file mode 100644 index 00000000..a24c0ea1 --- /dev/null +++ b/algorithm/etc/flood_fill/flood_fill/data.js @@ -0,0 +1,13 @@ +var tracer = new Array2DTracer (); +var G = [ + ['#', '#', '#', '#', '#', '#', '#', '#', '#'], + ['#', '-', '-', '-', '#', '-', '-', '-', '#'], + ['#', '-', '-', '-', '#', '-', '-', '-', '#'], + ['#', '-', '-', '#', '-', '-', '-', '-', '#'], + ['#', '#', '#', '-', '-', '-', '#', '#', '#'], + ['#', '-', '-', '-', '-', '#', '-', '-', '#'], + ['#', '-', '-', '-', '#', '-', '-', '-', '#'], + ['#', '-', '-', '-', '#', '-', '-', '-', '#'], + ['#', '#', '#', '#', '#', '#', '#', '#', '#'] +]; +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/etc/magic_square/basic/code.js b/algorithm/etc/magic_square/basic/code.js new file mode 100644 index 00000000..2b9d2fb8 --- /dev/null +++ b/algorithm/etc/magic_square/basic/code.js @@ -0,0 +1,41 @@ +var i = Math.floor (n/2); +var j = n-1; + +for ( var num = 1; num <= n*n; ) { + logTracer._print ( 'i = ' + i ); + logTracer._print ( 'j = ' + j ); + + if( i == -1 && j == n ) { + j = n - 2; + i = 0; + + logTracer._print ( 'Changing : ' ); + logTracer._print ( 'i = ' + i ); + logTracer._print ( 'j = ' + j ); + } else { + if ( j == n ) { + j = 0; + logTracer._print ( 'Changing : ' + 'j = ' + j); + } + if ( i < 0 ) { + i = n-1; + logTracer._print ( 'Changing : ' + 'i = ' + i ); + } + } + + if ( A[i][j] > 0 ) { + logTracer._print ( ' Cell already filled : Changing ' + ' i = ' + i + ' j = ' + j ); + j -= 2; + i++; + continue; + } else { + A[i][j] = num++; + tracer._notify( i, j, A[i][j] )._wait (); + tracer._denotify ( i, j ); + tracer._select ( i, j )._wait (); + } + j++; + i--; +} + +logTracer._print ( 'Magic Constant is ' + n*(n*n+1)/2 ); \ No newline at end of file diff --git a/algorithm/etc/magic_square/basic/data.js b/algorithm/etc/magic_square/basic/data.js new file mode 100644 index 00000000..83887e48 --- /dev/null +++ b/algorithm/etc/magic_square/basic/data.js @@ -0,0 +1,14 @@ +var n = 7; +var A = new Array (n); +for (var i = n - 1; i >= 0; i--) { + A[i] = new Array (n); +} + +for ( var i = n -1; i >= 0; i-- ) { + for ( var j = n - 1; j >= 0; j-- ) { + A[i][j] = 0; + } +} + +var tracer = new Array2DTracer ('Magic Square')._setData(A); +var logTracer = new LogTracer ( 'Console' ); \ No newline at end of file diff --git a/algorithm/etc/magic_square/desc.json b/algorithm/etc/magic_square/desc.json new file mode 100644 index 00000000..fef31545 --- /dev/null +++ b/algorithm/etc/magic_square/desc.json @@ -0,0 +1,13 @@ +{ + "Magic Square": "In recreational mathematics, a magic square is an arrangement of distinct numbers (i.e., each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the main and secondary diagonals, all add up to the same number, called the magic constant. A magic square has the same number of rows as it has columns, and in conventional math notation, 'n' stands for the number of rows (and columns) it has. Thus, a magic square always contains n2 numbers, and its size (the number of rows [and columns] it has) is described as being of order n. A magic square that contains the integers from 1 to n2 is called a normal magic square. (The term magic square is also sometimes used to refer to any of various types of word squares.)", + "Complexity": { + "time": " $O(N^2)$", + "space": "$O(N^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Magic Square" + } +} diff --git a/algorithm/etc/stable_matching/basic/code.js b/algorithm/etc/stable_matching/basic/code.js new file mode 100644 index 00000000..241c10a4 --- /dev/null +++ b/algorithm/etc/stable_matching/basic/code.js @@ -0,0 +1,62 @@ +function init(rank) { + var o = {}; + for (var k in rank) { + o[k] = { + key: k, + stable: false, + rank_keys: rank[k] + }; + } + return o; +} + +function extractUnstable(Q) { + for (var k in Q) { + if (Q[k].stable === false) { + return Q[k]; + } + } +} + +var A = init(ARank), B = init(BRank); +var a, b; + +while ((a = extractUnstable(A)) != null) { + + logTracer._print('Selecting ' + a.key)._wait(); + + var bKey = a.rank_keys.shift(); + var b = B[bKey]; + + logTracer._print('--> Choicing ' + b.key)._wait(); + + if (b.stable === false) { + + logTracer._print('--> ' + b.key + ' is not stable, stabilizing with ' + a.key)._wait(); + + a.stable = b; + b.stable = a; + + tracerA._select(_aKeys.indexOf(a.key))._wait(); + tracerB._select(_bKeys.indexOf(b.key))._wait(); + + } else { + + var rank_a_in_b = b.rank_keys.indexOf(a.key); + var rank_prev_a_in_b = b.rank_keys.indexOf(b.stable.key); + if (rank_a_in_b < rank_prev_a_in_b) { + + logTracer._print('--> ' + bKey + ' is more stable with ' + a.key + ' rather than ' + b.stable.key + ' - stabilizing again')._wait(); + + A[b.stable.key].stable = false; + tracerA._deselect(_aKeys.indexOf(b.stable.key))._wait(); + + a.stable = b; + b.stable = a; + + tracerA._select(_aKeys.indexOf(a.key))._wait(); + tracerB._select(_bKeys.indexOf(b.key))._wait(); + } + + } +} \ No newline at end of file diff --git a/algorithm/etc/stable_matching/basic/data.js b/algorithm/etc/stable_matching/basic/data.js new file mode 100644 index 00000000..5159f1c1 --- /dev/null +++ b/algorithm/etc/stable_matching/basic/data.js @@ -0,0 +1,23 @@ +var ARank = { +'Flavio' : [ 'Valentine', 'July', 'Summer', 'Violet' ], +'Stephen': [ 'Summer', 'July', 'Valentine', 'Violet' ], +'Albert' : [ 'July', 'Violet', 'Valentine', 'Summer' ], +'Jack' : [ 'July', 'Violet', 'Valentine', 'Summer' ] +}; + +var BRank = { +'July': [ 'Jack', 'Stephen', 'Albert', 'Flavio' ], +'Valentine': [ 'Flavio', 'Jack', 'Stephen', 'Albert' ], +'Violet': [ 'Jack', 'Stephen', 'Flavio', 'Albert' ], +'Summer': [ 'Stephen', 'Flavio', 'Albert', 'Jack' ], +}; + +var tracerA = new Array1DTracer('A'); +var tracerB = new Array1DTracer('B'); + +var _aKeys = Object.keys(ARank); +var _bKeys = Object.keys(BRank); +tracerA._setData(_aKeys); +tracerB._setData(_bKeys); + +var logTracer = new LogTracer ( 'Console' ); \ No newline at end of file diff --git a/algorithm/etc/stable_matching/desc.json b/algorithm/etc/stable_matching/desc.json new file mode 100644 index 00000000..9e91aa92 --- /dev/null +++ b/algorithm/etc/stable_matching/desc.json @@ -0,0 +1,12 @@ +{ + "Stable Matching": "In mathematics, economics, and computer science, the stable marriage problem (also stable matching problem or SMP) is the problem of finding a stable matching between two equally sized sets of elements given an ordering of preferences for each element. A matching is a mapping from the elements of one set to the elements of the other set. A matching is not stable if: There is an element A of the first matched set which prefers some given element B of the second matched set over the element to which A is already matched, and also prefers A over the element to which B is already matched. In other words, a matching is stable when there does not exist any match (A, B) by which both A and B would be individually better off than they are with the element to which they are currently matched.", + "Complexity": { + "time": " $O(N^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Stable Matching" + } +} diff --git a/algorithm/graph_search/bellman_ford/desc.json b/algorithm/graph_search/bellman_ford/desc.json new file mode 100644 index 00000000..8a5f5839 --- /dev/null +++ b/algorithm/graph_search/bellman_ford/desc.json @@ -0,0 +1,16 @@ +{ + "Bellman-Ford": "The Bellman–Ford algorithm is an algorithm that computes shortest paths from a single source vertex to all of the other vertices in a weighted digraph. It is different from Dijkstra's Shortest Path Algorithm because it allows NEGATIVE weights unlike Dijkstra's.", + "Applications": [ + "Packet Routing - A variation of BF is used in the Distance vector Routing Protocol" + ], + "Complexity": { + "time": "worst $O(|V|\\cdot |E|)$", + "space": "worst $O(|V|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "shortest_path": "Finding the shortest path" + } +} diff --git a/algorithm/graph_search/bellman_ford/shortest_path/code.js b/algorithm/graph_search/bellman_ford/shortest_path/code.js new file mode 100644 index 00000000..32448ffc --- /dev/null +++ b/algorithm/graph_search/bellman_ford/shortest_path/code.js @@ -0,0 +1,77 @@ +function BELLMAN_FORD(src, dest) { + var weights = new Array(G.length), i, j; + + for (i = 0; i < G.length; i++) { + weights[i] = MAX_VALUE; + tracer._weight(i, weights[i]); + } + weights[src] = 0; + tracer._weight(src, 0); + + logger._print('Initializing weights to: [' + weights + ']'); + logger._print(''); + + //begin BF algorithm execution + var k = G.length; + while (k--) { + logger._print('Iteration: ' + (G.length - k)); + logger._print('------------------------------------------------------------------'); + + for (i = 0; i < G.length; i++) { + for (j = 0; j < G.length; j++) { + if (G[i][j]) { //proceed to relax Edges only if a particular weight != 0 (0 represents no edge) + if (weights[j] > (weights[i] + G[i][j])) { + weights[j] = weights[i] + G[i][j]; + logger._print('weights[' + j + '] = weights[' + i + '] + ' + G[i][j]); + } + tracer._visit(j, i, weights[j])._wait(); + tracer._leave(j, i)._wait(); + } + } + } + + logger._print('updated weights: [' + weights.join(', ') + ']'); + logger._print(''); + } + + //check for cycle + logger._print('checking for cycle'); + for (i = 0; i < G.length; i++) { + for (j = 0; j < G.length; j++) { + if (G[i][j]) { + if (weights[j] > (weights[i] + G[i][j])) { + logger._print('A cycle was detected: weights[' + j + '] > weights[' + i + '] + ' + G[i][j]); + return (MAX_VALUE); + } + } + } + } + + logger._print('No cycles detected. Final weights for the source ' + src + ' are: [' + weights + ']'); + + return weights[dest]; +} + +var src = Integer.random(0, G.length - 1), dest; +var MAX_VALUE = Infinity; +var minWeight; + +/* + src = start node + dest = start node (but will eventually at as the end node) + */ + +do { + dest = Integer.random(0, G.length - 1); +} +while (src === dest); + +logger._print('finding the shortest path from ' + src + ' to ' + dest); + +minWeight = BELLMAN_FORD(src, dest); + +if (minWeight === MAX_VALUE) { + logger._print('there is no path from ' + src + ' to ' + dest); +} else { + logger._print('the shortest path from ' + src + ' to ' + dest + ' is ' + minWeight); +} \ No newline at end of file diff --git a/algorithm/graph_search/bellman_ford/shortest_path/data.js b/algorithm/graph_search/bellman_ford/shortest_path/data.js new file mode 100644 index 00000000..5bed44f2 --- /dev/null +++ b/algorithm/graph_search/bellman_ford/shortest_path/data.js @@ -0,0 +1,5 @@ +var tracer = new WeightedDirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = WeightedDirectedGraph.random(5, .5, -2, 5); +tracer._setData(G); diff --git a/algorithm/graph_search/bfs/desc.json b/algorithm/graph_search/bfs/desc.json new file mode 100644 index 00000000..802daea8 --- /dev/null +++ b/algorithm/graph_search/bfs/desc.json @@ -0,0 +1,24 @@ +{ + "BFS": "Breadth-first search (BFS) is an algorithm for traversing or searching tree or graph data structures. It starts at the tree root (or some arbitrary node of a graph, sometimes referred to as a 'search key') and explores the neighbor nodes first, before moving to the next level neighbors.", + "Applications": [ + "Copying garbage collection, Cheney's algorithm", + "Finding the shortest path between two nodes u and v, with path length measured by number of edges (an advantage over depth-first search)", + "Testing a graph for bipartiteness", + "(Reverse) Cuthill–McKee mesh numbering", + "Ford–Fulkerson method for computing the maximum flow in a flow network", + "Serialization/Deserialization of a binary tree vs serialization in sorted order, allows the tree to be re-constructed in an efficient manner.", + "Construction of the failure function of the Aho-Corasick pattern matcher." + ], + "Complexity": { + "time": "worst $O(|V|+|E|)$", + "space": "worst $O(|V|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "tree": "Searching a tree", + "shortest_path": "Finding the shortest path", + "test_bipartiteness": "Test if graph is biparted (or 2-colorable)" + } +} diff --git a/algorithm/graph_search/bfs/shortest_path/code.js b/algorithm/graph_search/bfs/shortest_path/code.js new file mode 100644 index 00000000..f52d3d83 --- /dev/null +++ b/algorithm/graph_search/bfs/shortest_path/code.js @@ -0,0 +1,38 @@ +function BFS() { + var W = []; // W[i] indicates the length of the shortest path from start node to the i-th node + var Q = []; + var i; + for (i = 0; i < G.length; i++) { + W.push(MAX_VALUE); + tracer._weight(i, MAX_VALUE); + } + W[s] = 0; + Q.push(s); // add start node to queue + tracer._visit(s, undefined, 0)._wait(); + while (Q.length > 0) { + var node = Q.shift(); // dequeue + for (i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if the edge from current node to the i-th node exists + if (W[i] > W[node] + G[node][i]) { // if current path is shorter than the previously shortest path + W[i] = W[node] + G[node][i]; // update the length of the shortest path + Q.push(i); // add child node to queue + tracer._visit(i, node, W[i])._wait(); + } + } + } + } + return W[e]; +} +var s = Integer.random(0, G.length - 1); // s = start node +var e; // e = start node +do { + e = Integer.random(0, G.length - 1); +} while (s === e); +var MAX_VALUE = Infinity; +logger._print('finding the shortest path from ' + s + ' to ' + e); +var minWeight = BFS(s); +if (minWeight === MAX_VALUE) { + logger._print('there is no path from ' + s + ' to ' + e); +} else { + logger._print('the shortest path from ' + s + ' to ' + e + ' is ' + minWeight); +} \ No newline at end of file diff --git a/algorithm/graph_search/bfs/shortest_path/data.js b/algorithm/graph_search/bfs/shortest_path/data.js new file mode 100644 index 00000000..31ea55c2 --- /dev/null +++ b/algorithm/graph_search/bfs/shortest_path/data.js @@ -0,0 +1,5 @@ +var tracer = new WeightedUndirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = WeightedUndirectedGraph.random(5, 1, 1, 9); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/graph_search/bfs/test_bipartiteness/code.js b/algorithm/graph_search/bfs/test_bipartiteness/code.js new file mode 100644 index 00000000..da6484e8 --- /dev/null +++ b/algorithm/graph_search/bfs/test_bipartiteness/code.js @@ -0,0 +1,41 @@ +function BFSCheckBipartiteness(s) { + var Q = []; + + // Create a new matrix to set colors (0,1) + var Colors = []; + for (var _i = 0; _i < G.length; _i++) Colors[_i] = -1; + colorsTracer._setData(Colors); + + Colors[s] = 1; + colorsTracer._notify(s, 1); + + Q.push(s); // add start node to queue + + while (Q.length > 0) { + var node = Q.shift(); // dequeue + tracer._visit(node)._wait(); + + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { + + if (Colors[i] === -1) { + + Colors[i] = 1 - Colors[node]; + colorsTracer._notify(i, 1 - Colors[node]); + + Q.push(i); + tracer._visit(i, node)._wait(); + + } else if (Colors[i] == Colors[node]) { + logger._print('Graph is not biparted'); + return false; + } + } + } + } + + logger._print('Graph is biparted'); + return true; +} + +BFSCheckBipartiteness(0); \ No newline at end of file diff --git a/algorithm/graph_search/bfs/test_bipartiteness/data.js b/algorithm/graph_search/bfs/test_bipartiteness/data.js new file mode 100644 index 00000000..36835cd7 --- /dev/null +++ b/algorithm/graph_search/bfs/test_bipartiteness/data.js @@ -0,0 +1,14 @@ +var tracer = new UndirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); + +var G =[ +[0, 1, 0, 1, 1], +[1, 0, 1, 0, 0], +[0, 1, 0, 1, 0], +[1, 0, 1, 0, 0], // <-- replace latest 0 with 1 to make G not biparted +[1, 0, 0, 0, 0], +]; +tracer._setData(G, 0); + +var colorsTracer = new Array1DTracer('Colors'); \ No newline at end of file diff --git a/algorithm/graph_search/bfs/tree/code.js b/algorithm/graph_search/bfs/tree/code.js new file mode 100644 index 00000000..deee9297 --- /dev/null +++ b/algorithm/graph_search/bfs/tree/code.js @@ -0,0 +1,15 @@ +function BFS(s) { // s = start node + var Q = []; + Q.push(s); // add start node to queue + tracer._visit(s)._wait(); + while (Q.length > 0) { + var node = Q.shift(); // dequeue + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if current node has the i-th node as a child + Q.push(i); // add child node to queue + tracer._visit(i, node)._wait(); + } + } + } +} +BFS(0); \ No newline at end of file diff --git a/algorithm/graph_search/bfs/tree/data.js b/algorithm/graph_search/bfs/tree/data.js new file mode 100644 index 00000000..01d3337e --- /dev/null +++ b/algorithm/graph_search/bfs/tree/data.js @@ -0,0 +1,15 @@ +var tracer = new DirectedGraphTracer().attach(new LogTracer()); +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +]; +tracer._setTreeData(G, 0); \ No newline at end of file diff --git a/algorithm/graph_search/bridges/desc.json b/algorithm/graph_search/bridges/desc.json new file mode 100644 index 00000000..f3231472 --- /dev/null +++ b/algorithm/graph_search/bridges/desc.json @@ -0,0 +1,17 @@ +{ + "Bridges": "An edge in an undirected connected graph is a bridge iff removing it disconnects the graph. A naive solution to finding bridges in a graph is to:
1.Delete an edge E
2.Perform DFS Exploration to check if the Graph is still connected
3.Restore Edge E. E is a bridge only if DFS exploration determines that the graph is disconnected without E.

A more efficient solution, which can find bridges in linear time, is to perform a DFS (depth-first-search) on the graph. At each step:
1. Number the vertex with a counter. The first vertex visited should be labelled 0, the second vertex labelled 1, etc.
2. Each vertex should also keep track of the lowest numbered vertex that can be reached with the DFS. This can be done recursively by looking at the smallest \"low\" of its children
3. If the lowest vertex that can be reached with the DFS is greater than its own label, that means the edge with its parent is a bridge. This is because the vertex cannot reach its parent with the DFS, implying that the edge is not part of a cycle. ", + "Applications": [ + "Finding vulnerabilities in Graphs and Electrical Circuits" + ], + "Complexity": { + "time": "worst Naive: $O(|E| \\cdot (|V|+|E|))$, Efficient: $O(|V|+|E|)$", + "space": "worst $O(|V| \\cdot |E|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "naive": "Find all the bridges in an Undirected Graph", + "efficient": "Efficiently find all the bridges in an Undirected Graph" + } +} diff --git a/algorithm/graph_search/bridges/efficient/code.js b/algorithm/graph_search/bridges/efficient/code.js new file mode 100644 index 00000000..f3f3431b --- /dev/null +++ b/algorithm/graph_search/bridges/efficient/code.js @@ -0,0 +1,107 @@ +/* + NOTE: Code assumes NO parallel edges +*/ + +var timer = 0, bridges = [], adj = []; //adj keeps track of the neighbors of each node + +var util = function (u, disc, low, parent) { + //u is the node that is currently being processed in the DFS (depth-first search) + //disc is the numbering of the vertices in the DFS, starting at 0 + //low[v] is the lowest numbered vertex that can be reached from vertex v along the DFS + //parent is the node that u came from + logger._print (''); + logger._print ('Visiting node ' + u); + graphTracer._visit (u)._wait (); + graphTracer._leave (u)._wait (); + + //visited [u] = true; + disc [u] = low [u] = timer++; + + logger._print ('Nodes adjacent to ' + u + ' are: [ ' + adj [u] + ' ]'); + /*adj [u].forEach (function (v) { + graphTracer._visit (v, u)._wait (); + graphTracer._leave (v, u)._wait (); + });*/ + var trace = function(v) { + graphTracer._visit (v, u)._wait (); + graphTracer._leave (v, u)._wait (); + } + + adj [u].forEach (function (v) { + if (disc [v] > -1 && v === parent) { + trace(v); + logger._print (u + '\'s neighbor ' + v + ' is u\'s parent. Not visiting it.'); + + } + else if (disc[v] > -1 && v != parent) { + trace(v); + logger._print(u + '\'s neighbor ' + v + ' is not u\'s parent. Comparing low[u] with disc[v]') + if(low[u] > disc[v]) { + logger._print('low[' + u + '] is greater than disc[' + v + ']. Setting low[' + u + '] to disc[' + v + ']') + low[u] = disc[v] + } + } + + if (disc[v] === -1) { + trace(v); + logger._print (u + '\'s neighbor ' + v + ' has not been visited yet'); + + logger._print ('recursively calling util (' + v + ', [' + disc + '], [' + low + '],' + u + ')'); + util (v, disc, low, u); + + logger._print ('--------------------------------------------------------------------'); + + logger._print ('Setting low [' + u + '] to ' + Math.min (low [u], low [v])); + low [u] = Math.min (low [u], low [v]); + + if (low [v] === disc [v]) { + logger._print ('low [' + v + '] == disc [' + v + '], low[' + v + ']=' + low[v] + ', disc[' + v + ']=' + disc[v]); + logger._print (u + ' -> ' + v + ' is a bridge. Adding ' + u + '->' + v + 'to the set of bridges found'); + bridges.push ([u, v]); + } + } + + }); +}; + +(function findBridges (graph) { + + var disc = filledArray (graph.length, -1); + var low = filledArray (graph.length, -1); + + function filledArray (length, value) { + return Array.apply (null, Array (length)).map (Number.prototype.valueOf, value); + } + + //PRECOMPUTATION: store every node's neighbor info in auxiliary array for efficient retrieval later + (function computeAdj () { + graph.forEach (function (config) { + var temp = []; + config.forEach (function (isEdge, i) { + isEdge && temp.push (i); + }); + adj.push (temp); + }); + }) (); + + logger._print ('Initializing: disc: ' + disc + ' low: ' + low); + logger._print (''); + logger._print ('Beginning efficient Bridge Finding'); + logger._print ('NOTE: call to util () follows pattern: util (nodeToVisit, disc, low, parent). See code for clarity'); + logger._print (''); + + logger._print ('Starting the main for loop (for each node)'); + for (var v = 0; v < graph.length; v++) { + if (disc[v] === -1) { + logger._print (v + ' has not been visited yet. Calling util (' + v + ', [' + disc + '], [' + low + '],' + v + ') from the for loop'); + util (v, disc, low, v); + logger._print ('Returned in for loop after util (' + v + ', [' + disc + '], [' + low + '], [' + v + '])'); + } + } +}) (G); + +logger._print ('There are ' + bridges.length + ' bridges in the Graph'); +for (var i = 0; i < bridges.length; i++) { + logger._print (bridges [i] [0] + '-->' + bridges [i] [1]); +} +logger._print ('NOTE: All bridges are both ways (just like in the Naive Algorithm) because the Graph is undirected. So, edge A->B and B->A, both are bridges'); \ No newline at end of file diff --git a/algorithm/graph_search/bridges/efficient/data.js b/algorithm/graph_search/bridges/efficient/data.js new file mode 100644 index 00000000..a1054d7c --- /dev/null +++ b/algorithm/graph_search/bridges/efficient/data.js @@ -0,0 +1,12 @@ +var graphTracer = new UndirectedGraphTracer (); +var logger = new LogTracer (); +var G = [ + [0,1,0,0,1,0], + [1,0,0,0,1,0], + [0,0,0,1,0,0], + [0,0,1,0,1,1], + [1,1,0,1,0,0], + [0,0,0,1,0,0] +]; + +graphTracer._setData (G); \ No newline at end of file diff --git a/algorithm/graph_search/bridges/naive/code.js b/algorithm/graph_search/bridges/naive/code.js new file mode 100644 index 00000000..75e88fa5 --- /dev/null +++ b/algorithm/graph_search/bridges/naive/code.js @@ -0,0 +1,66 @@ +//Depth First Search Exploration Algorithm to test connectedness of the Graph (see Graph Algorithms/DFS/exploration), without the tracer & logger commands +function DFSExplore (graph, source) { + var stack = [ [source, null] ], visited = {}; + var node, prev, i, temp; + + while (stack.length > 0) { + temp = stack.pop (); + node = temp [0]; + prev = temp [1]; + + if (!visited [node]) { + visited [node] = true; + //logger._print (node); + + /* + if (prev !== undefined && graph [node] [prev]) { tracer._visit (node, prev)._wait (); console.log ('tracer ' + prev + ', ' + node); } + else { tracer._visit (node)._wait (); console.log ('tracer ' + node); } + */ + + for (i = 0; i < graph.length; i++) { + if (graph [node] [i]) { + stack.push ([i, node]); + } + } + } + } + + return visited; +} + +function findBridges (graph) { + var tempGraph, bridges = [], visited; + + for (var i = 0; i < graph.length; i++) { + for (var j = 0; j < graph.length; j++) { + if (graph [i] [j]) { //check if an edge exists + logger._print ('Deleting edge ' + i + '->' + j + ' and calling DFSExplore ()'); + tracer._visit (j, i)._wait (); + tracer._leave (j, i)._wait (); + + tempGraph = JSON.parse (JSON.stringify (graph)); + tempGraph [i] [j] = 0; + tempGraph [j] [i] = 0; + visited = DFSExplore (tempGraph, 0); + + if (Object.keys (visited).length === graph.length) { + logger._print ('Graph is CONNECTED. Edge is NOT a bridge'); + } + else { + logger._print ('Graph is DISCONNECTED. Edge IS a bridge'); + bridges.push ([i,j]); + } + } + } + } + + return bridges; +} + +var bridges = findBridges (G); + +logger._print ('The bridges are: '); +for (var i in bridges) { + logger._print (bridges [i] [0] + ' to ' + bridges [i] [1]); +} +logger._print ('NOTE: A bridge is both ways, i.e., from A to B and from B to A, because this is an Undirected Graph'); diff --git a/algorithm/graph_search/bridges/naive/data.js b/algorithm/graph_search/bridges/naive/data.js new file mode 100644 index 00000000..81d85685 --- /dev/null +++ b/algorithm/graph_search/bridges/naive/data.js @@ -0,0 +1,12 @@ +var tracer = new UndirectedGraphTracer (); +var logger = new LogTracer (); +var G = [ + [0,1,0,0,0,0], + [1,0,0,1,1,0], + [0,0,0,1,0,0], + [0,1,1,0,1,1], + [0,1,0,1,0,0], + [0,0,0,1,0,0] +]; + +tracer._setData (G); \ No newline at end of file diff --git a/algorithm/graph_search/dfs/all_paths/code.js b/algorithm/graph_search/dfs/all_paths/code.js new file mode 100644 index 00000000..ee46b462 --- /dev/null +++ b/algorithm/graph_search/dfs/all_paths/code.js @@ -0,0 +1,21 @@ +function DFS(node, parent) { // node = current node, parent = previous node + tracer._visit(node, parent)._wait(); + D[node] = true; // label current node as discovered + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if the edge from current node to the i-th node exists + if (!D[i]) { // if the i-th node is not labeled as discovered + DFS(i, node); // recursively call DFS + } + } + } + D[node] = false; // label current node as undiscovered + tracer._leave(node, parent)._wait(); +} +var D; // D[i] indicates whether the i-th node is discovered or not +for (var i = 0; i < G.length; i++) { // start from every node + D = []; + for (var j = 0; j < G.length; j++) D.push(false); + logger._print('start from ' + i); + DFS(i); + tracer._clear(); +} \ No newline at end of file diff --git a/algorithm/graph_search/dfs/all_paths/data.js b/algorithm/graph_search/dfs/all_paths/data.js new file mode 100644 index 00000000..0e0cf6be --- /dev/null +++ b/algorithm/graph_search/dfs/all_paths/data.js @@ -0,0 +1,5 @@ +var tracer = new UndirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = UndirectedGraph.random(5, 1); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/graph_search/dfs/desc.json b/algorithm/graph_search/dfs/desc.json new file mode 100644 index 00000000..f7e08f60 --- /dev/null +++ b/algorithm/graph_search/dfs/desc.json @@ -0,0 +1,30 @@ +{ + "DFS": "Depth-first search (DFS) is an algorithm for traversing or searching tree or graph data structures. One starts at the root (selecting some arbitrary node as the root in the case of a graph) and explores as far as possible along each branch before backtracking.", + "Applications": [ + "Finding connected components.", + "Topological sorting.", + "Finding 2-(edge or vertex)-connected components.", + "Finding 3-(edge or vertex)-connected components.", + "Finding the bridges of a graph.", + "Generating words in order to plot the Limit Set of a Group.", + "Finding strongly connected components.", + "Planarity testing", + "Solving puzzles with only one solution, such as mazes. (DFS can be adapted to find all solutions to a maze by only including nodes on the current path in the visited set.)", + "Maze generation may use a randomized depth-first search.", + "Finding biconnectivity in graphs." + ], + "Complexity": { + "time": "worst $O(|V|+|E|)$", + "space": "worst $O(|V|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "tree": "Searching a tree", + "all_paths": "Going through all possible paths without making any circuit", + "weighted_graph": "DFS of Weighted Graph", + "shortest_path": "Finding the shortest path", + "exploration": "Explore an undirected graph to see if it is connected" + } +} diff --git a/algorithm/graph_search/dfs/exploration/code.js b/algorithm/graph_search/dfs/exploration/code.js new file mode 100644 index 00000000..afae29f8 --- /dev/null +++ b/algorithm/graph_search/dfs/exploration/code.js @@ -0,0 +1,42 @@ +function DFSExplore(graph, source) { + var stack = [[source, null]], visited = []; + var node, prev, i, temp; + for (i = 0; i < graph.length; i++) { + visited.push(false); + } + visitedTracer._setData(visited); + + while (stack.length > 0) { + temp = stack.pop(); + node = temp [0]; + prev = temp [1]; + + if (!visited[node]) { + visited[node] = true; + visitedTracer._notify(node, visited[node]); + + if (prev !== undefined && graph[node][prev]) { + graphTracer._visit(node, prev)._wait(); + } else { + graphTracer._visit(node)._wait(); + } + + for (i = 0; i < graph.length; i++) { + if (graph[node][i]) { + stack.push([i, node]); + } + } + } + } + + return visited; +} + +var visited = DFSExplore(G, 0); +var check = true; +for (var i = 0; i < visited.length; i++) check &= visited[i]; +if (check) { + logger._print('The Graph is CONNECTED'); +} else { + logger._print('The Graph is NOT CONNECTED'); +} diff --git a/algorithm/graph_search/dfs/exploration/data.js b/algorithm/graph_search/dfs/exploration/data.js new file mode 100644 index 00000000..9c96907c --- /dev/null +++ b/algorithm/graph_search/dfs/exploration/data.js @@ -0,0 +1,6 @@ +var graphTracer = new UndirectedGraphTracer(); +var visitedTracer = new Array1DTracer('visited'); +var logger = new LogTracer(); +graphTracer.attach(logger); +var G = UndirectedGraph.random(8, .3); +graphTracer._setData(G); \ No newline at end of file diff --git a/algorithm/graph_search/dfs/shortest_path/code.js b/algorithm/graph_search/dfs/shortest_path/code.js new file mode 100644 index 00000000..82d5f0e6 --- /dev/null +++ b/algorithm/graph_search/dfs/shortest_path/code.js @@ -0,0 +1,38 @@ +function DFS(node, parent, weight) { // node = current node, parent = previous node + if (minWeight < weight) return; + if (node === e) { + tracer._visit(node, parent, weight)._wait(); + if (minWeight > weight) { + minWeight = weight; + } + tracer._leave(node, parent, minWeight)._wait(); + return; + } + D[node] = true; // label current node as discovered + tracer._visit(node, parent, weight)._wait(); + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if the path from current node to the i-th node exists + if (!D[i]) { // if the i-th node is not labeled as discovered + DFS(i, node, weight + G[node][i]); // recursively call DFS + } + } + } + D[node] = false; // label current node as undiscovered + tracer._leave(node, parent, 0)._wait(); +} +var s = Integer.random(0, G.length - 1); // s = start node +var e; // e = end node +do { + e = Integer.random(0, G.length - 1); +} while (s === e); +var MAX_VALUE = Infinity; +var minWeight = MAX_VALUE; +logger._print('finding the shortest path from ' + s + ' to ' + e); +var D = []; // D[i] indicates whether the i-th node is discovered or not +for (var i = 0; i < G.length; i++) D.push(false); +DFS(s, undefined, 0); +if (minWeight === MAX_VALUE) { + logger._print('there is no path from ' + s + ' to ' + e); +} else { + logger._print('the shortest path from ' + s + ' to ' + e + ' is ' + minWeight); +} \ No newline at end of file diff --git a/algorithm/graph_search/dfs/shortest_path/data.js b/algorithm/graph_search/dfs/shortest_path/data.js new file mode 100644 index 00000000..31ea55c2 --- /dev/null +++ b/algorithm/graph_search/dfs/shortest_path/data.js @@ -0,0 +1,5 @@ +var tracer = new WeightedUndirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = WeightedUndirectedGraph.random(5, 1, 1, 9); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/graph_search/dfs/tree/code.js b/algorithm/graph_search/dfs/tree/code.js new file mode 100644 index 00000000..b04123e1 --- /dev/null +++ b/algorithm/graph_search/dfs/tree/code.js @@ -0,0 +1,9 @@ +function DFS(node, parent) { // node = current node, parent = previous node + tracer._visit(node, parent)._wait(); + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if current node has the i-th node as a child + DFS(i, node); // recursively call DFS + } + } +} +DFS(0); \ No newline at end of file diff --git a/algorithm/graph_search/dfs/tree/data.js b/algorithm/graph_search/dfs/tree/data.js new file mode 100644 index 00000000..01d3337e --- /dev/null +++ b/algorithm/graph_search/dfs/tree/data.js @@ -0,0 +1,15 @@ +var tracer = new DirectedGraphTracer().attach(new LogTracer()); +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +]; +tracer._setTreeData(G, 0); \ No newline at end of file diff --git a/algorithm/graph_search/dfs/weighted_graph/code.js b/algorithm/graph_search/dfs/weighted_graph/code.js new file mode 100644 index 00000000..421b0298 --- /dev/null +++ b/algorithm/graph_search/dfs/weighted_graph/code.js @@ -0,0 +1,21 @@ +function DFS(node, parent, weight) { // node = current node, parent = previous node + tracer._visit(node, parent, weight)._wait(); + D[node] = true; // label current node as discovered + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if the edge from current node to the i-th node exists + if (!D[i]) { // if the i-th node is not labeled as discovered + DFS(i, node, weight + G[node][i]); // recursively call DFS + } + } + } + D[node] = false; // label current node as undiscovered + tracer._leave(node, parent, 0)._wait(); +} +var D; // D[i] indicates whether the i-th node is discovered or not +for (var i = 0; i < G.length; i++) { // start from every node + logger._print('start from ' + i); + D = []; + for (var j = 0; j < G.length; j++) D.push(false); + DFS(i, undefined, 0); + tracer._clear(); +} \ No newline at end of file diff --git a/algorithm/graph_search/dfs/weighted_graph/data.js b/algorithm/graph_search/dfs/weighted_graph/data.js new file mode 100644 index 00000000..8928885b --- /dev/null +++ b/algorithm/graph_search/dfs/weighted_graph/data.js @@ -0,0 +1,5 @@ +var tracer = new WeightedUndirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = WeightedUndirectedGraph.random(5, 1); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/graph_search/dijkstra/desc.json b/algorithm/graph_search/dijkstra/desc.json new file mode 100644 index 00000000..0df9fee6 --- /dev/null +++ b/algorithm/graph_search/dijkstra/desc.json @@ -0,0 +1,16 @@ +{ + "Dijkstra": "Dijkstra's algorithm is an algorithm for finding the shortest paths between nodes in a graph, which may represent, for example, road networks. It was conceived by computer scientist Edsger W. Dijkstra in 1956 and published three years later.", + "Applications": [ + "Ar." + ], + "Complexity": { + "time": "worst $O(|V|^2)$", + "space": "worst $O(|V|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "shortest_path": "Finding the shortest path between two nodes" + } +} diff --git a/algorithm/graph_search/dijkstra/shortest_path/code.js b/algorithm/graph_search/dijkstra/shortest_path/code.js new file mode 100644 index 00000000..849f8e68 --- /dev/null +++ b/algorithm/graph_search/dijkstra/shortest_path/code.js @@ -0,0 +1,48 @@ +function Dijkstra(start, end) { + var minIndex, minDistance; + var D = []; // D[i] indicates whether the i-th node is discovered or not + for (var i = 0; i < G.length; i++) D.push(false); + S[start] = 0; // Starting node is at distance 0 from itself + tracerS._notify(start, S[start])._wait()._denotify(start); + tracerS._select(start); + var k = G.length; + while (k--) { + // Finding a node with the shortest distance from S[minIndex] + minDistance = MAX_VALUE; + for (i = 0; i < G.length; i++) { + if (S[i] < minDistance && !D[i]) { + minDistance = S[i]; + minIndex = i; + } + } + if (minDistance === MAX_VALUE) break; // If there is no edge from current node, jump out of loop + D[minIndex] = true; + tracerS._select(minIndex); + tracer._visit(minIndex)._wait(); + // For every unvisited neighbour of current node, we check + // whether the path to it is shorter if going over the current node + for (i = 0; i < G.length; i++) { + if (G[minIndex][i] && S[i] > S[minIndex] + G[minIndex][i]) { + S[i] = S[minIndex] + G[minIndex][i]; + tracerS._notify(i, S[i]); + tracer._visit(i, minIndex, S[i])._wait(); + tracerS._denotify(i); + tracer._leave(i, minIndex)._wait(); + } + } + tracer._leave(minIndex)._wait(); + } + if (S[end] === MAX_VALUE) { + logger._print('there is no path from ' + start + ' to ' + end); + } else { + logger._print('the shortest path from ' + start + ' to ' + end + ' is ' + S[end]); + } +} + +var s = Integer.random(0, G.length - 1); // s = start node +var e; // e = end node +do { + e = Integer.random(0, G.length - 1); +} while (s === e); +logger._print('finding the shortest path from ' + s + ' to ' + e)._wait(); +Dijkstra(s, e); \ No newline at end of file diff --git a/algorithm/graph_search/dijkstra/shortest_path/data.js b/algorithm/graph_search/dijkstra/shortest_path/data.js new file mode 100644 index 00000000..bef0f980 --- /dev/null +++ b/algorithm/graph_search/dijkstra/shortest_path/data.js @@ -0,0 +1,10 @@ +var tracer = new WeightedUndirectedGraphTracer(); +var tracerS = new Array1DTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = WeightedUndirectedGraph.random(5, 1, 1, 9); +tracer._setData(G); +var MAX_VALUE = Infinity; +var S = []; // S[end] returns the distance from start node to end node +for (var i = 0; i < G.length; i++) S[i] = MAX_VALUE; +tracerS._setData(S); \ No newline at end of file diff --git a/algorithm/graph_search/dls/count_descendant/code.js b/algorithm/graph_search/dls/count_descendant/code.js new file mode 100644 index 00000000..662fdf0b --- /dev/null +++ b/algorithm/graph_search/dls/count_descendant/code.js @@ -0,0 +1,17 @@ +// This is a sample DLS applications where +// we try to find number of descendant of root within some depth +function DLSCount (limit, node, parent) { // node = current node, parent = previous node + tracer._visit(node, parent)._wait(); + var child = 0; + if (limit>0) { // cut off the search + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if current node has the i-th node as a child + child += 1 + DLSCount(limit-1, i, node); // recursively call DLS + } + } + return child; + }else{ + return child; + } +} +logger._print('Number of descendant is ' + DLSCount(2,0)); diff --git a/algorithm/graph_search/dls/count_descendant/data.js b/algorithm/graph_search/dls/count_descendant/data.js new file mode 100644 index 00000000..7bc705d9 --- /dev/null +++ b/algorithm/graph_search/dls/count_descendant/data.js @@ -0,0 +1,17 @@ +var tracer = new DirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +]; +tracer._setTreeData(G, 0); diff --git a/algorithm/graph_search/dls/desc.json b/algorithm/graph_search/dls/desc.json new file mode 100644 index 00000000..b4274eec --- /dev/null +++ b/algorithm/graph_search/dls/desc.json @@ -0,0 +1,15 @@ +{ + "DLS": "Depth-Limited search (DLS) is an algorithm for traversing or searching tree or graph data structures. It's actually specific type of DFS where the search is limited to some depth from start node (root). One starts at the root (selecting some arbitrary node as the root in the case of a graph) and explores as far as possible (within some limit) along each branch before backtracking.", + "Complexity": { + "time": "worst $O(b^l)$", + "space": "worst $O(bl)$", + "notes" : "
b is branching factor, for example binary tree has branching factor 2
l is limit that we define" + }, + "References": [ + "Colorado State University Lecture Notes" + ], + "files": { + "tree": "Searching a tree (limited depth)", + "count_descendant": "Count all descendant of root within some depth" + } +} diff --git a/algorithm/graph_search/dls/tree/code.js b/algorithm/graph_search/dls/tree/code.js new file mode 100644 index 00000000..953af8e1 --- /dev/null +++ b/algorithm/graph_search/dls/tree/code.js @@ -0,0 +1,13 @@ +// This is a sample DLS where +// we try to find number of descendant of root within some depth +function DLS (limit, node, parent) { // node = current node, parent = previous node + tracer._visit(node, parent)._wait(); + if (limit>0) { // cut off the search + for (var i = 0; i < G[node].length; i++) { + if (G[node][i]) { // if current node has the i-th node as a child + DLS(limit-1, i, node); // recursively call DLS + } + } + } +} +DLS(2,0); diff --git a/algorithm/graph_search/dls/tree/data.js b/algorithm/graph_search/dls/tree/data.js new file mode 100644 index 00000000..7bc705d9 --- /dev/null +++ b/algorithm/graph_search/dls/tree/data.js @@ -0,0 +1,17 @@ +var tracer = new DirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +]; +tracer._setTreeData(G, 0); diff --git a/algorithm/graph_search/floyd_warshall/desc.json b/algorithm/graph_search/floyd_warshall/desc.json new file mode 100644 index 00000000..72553903 --- /dev/null +++ b/algorithm/graph_search/floyd_warshall/desc.json @@ -0,0 +1,16 @@ +{ + "Floyd-Warshall": "Floyd–Warshall algorithm is an algorithm for finding shortest paths in a weighted graph with positive or negative edge weights (but with no negative cycles)", + "Applications": [ + "" + ], + "Complexity": { + "time": "worst $O(|V|^3)$", + "space": "worst $O(|V|^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "shortest_paths": "Finding the shortest path between all nodes" + } +} diff --git a/algorithm/graph_search/floyd_warshall/shortest_paths/code.js b/algorithm/graph_search/floyd_warshall/shortest_paths/code.js new file mode 100644 index 00000000..193749b1 --- /dev/null +++ b/algorithm/graph_search/floyd_warshall/shortest_paths/code.js @@ -0,0 +1,41 @@ +function FloydWarshall() { + // Finds the shortest path between all nodes + var S = new Array(G.length); + for (var i = 0; i < G.length; i++) S[i] = new Array(G.length) + for (i = 0; i < G.length; i++) { + for (var j = 0; j < G.length; j++) { + // Distance to self is always 0 + if (i == j) S[i][i] = 0; + // Distance between connected nodes is their weight + else if (G[i][j] > 0) { + S[i][j] = G[i][j]; + }// Else we don't know the distance and we set it to infinity + else S[i][j] = MAX_VALUE; + } + } + // If there is a shorter path using k, use it instead + for (var k = 0; k < G.length; k++) { + for (i = 0; i < G.length; i++) { + if (k === i) continue; + tracer._visit(k, i)._wait(); + for (j = 0; j < G.length; j++) { + if (i === j || j === k) continue; + tracer._visit(j, k)._wait(); + if (S[i][j] > S[i][k] + S[k][j]) { + tracer._visit(j, i, S[i][j])._wait(); + S[i][j] = S[i][k] + S[k][j]; + tracer._leave(j, i, S[i][j]); + } + tracer._leave(j, k); + } + tracer._leave(k, i)._wait(); + } + } + for (i = 0; i < G.length; i++) + for (j = 0; j < G.length; j++) + if (S[i][j] === MAX_VALUE) logger._print('there is no path from ' + i + ' to ' + j); + else logger._print('the shortest path from ' + i + ' to ' + j + ' is ' + S[i][j]); +} +var MAX_VALUE = Infinity; +logger._print('finding the shortest paths from and to all nodes'); +FloydWarshall(); \ No newline at end of file diff --git a/algorithm/graph_search/floyd_warshall/shortest_paths/data.js b/algorithm/graph_search/floyd_warshall/shortest_paths/data.js new file mode 100644 index 00000000..b3273919 --- /dev/null +++ b/algorithm/graph_search/floyd_warshall/shortest_paths/data.js @@ -0,0 +1,5 @@ +var tracer = new WeightedDirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +var G = WeightedDirectedGraph.random(5, 1, 1, 9); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/graph_search/page_rank/basic/code.js b/algorithm/graph_search/page_rank/basic/code.js new file mode 100644 index 00000000..608351b7 --- /dev/null +++ b/algorithm/graph_search/page_rank/basic/code.js @@ -0,0 +1,106 @@ +/* + PageRank Algorithm Version 1 + Equation: + PR (X) = (1 - D) + D (Summation i->X (PR (I) / Out (i))) + NOTE: Algorithm uses the recommended damping factor (D). Number of iterations is small because only a small Web of 5 Pages is simulated +*/ + +function arraySum (array) { + return array.reduce (function (sum, curr) { + return sum + (curr ? 1 : 0); //if curr is 0 (no edge) or undefined (loop not allowed), sum remains unchanged + }, 0); +} + +function showOutgoingEdges (i) { + G [i].forEach (function (edgeExists, j) { + edgeExists && graphTracer._visit (j, i)._wait () && graphTracer._leave (j, i)._wait (); + }); +} + +//PRECOMPUTATIONS + +logger._print ('Calculate Outgoing Edge Count for each Node'); +(function calculateOEC () { + var count = 0; + G.forEach (function (relations, i) { + outgoingEdgeCounts [i] = arraySum (relations); + showOutgoingEdges (i); + + oecTracer._notify (i, outgoingEdgeCounts [i])._wait (); + oecTracer._denotify (i)._wait (); + }); +}) (); + +logger._print ('determine incoming nodes for each node'); +(function determineIN () { + for (var i = 0; i < G.length; i++) { + for (var j = 0; j < G.length; j++) { + if (G [i] [j]) { + //there's an edge FROM i TO j + graphTracer._visit (j, i)._wait (); + + var nextPos = incomingNodes [j].indexOf (-1); + incomingNodes [j] [nextPos] = i; + inTracer._notify (j, nextPos, i)._wait (); + inTracer._denotify (j, nextPos)._wait (); + + graphTracer._leave (j, i)._wait (); + } + } + } + + //logger._print ('All -1s will be removed from incoming node records, they are irrelevant'); + incomingNodes.forEach (function (arr) { + arr.splice (arr.indexOf (-1)); + }); +}) (); + +function updateRank (nodeIndex) { + var inNodeSummation = 0, result; + + logger._print ('Updating rank of ' + nodeIndex); + logger._print ('The incoming Nodes of ' + nodeIndex + ' are being highlighted'); + + incomingNodes [nodeIndex].forEach (function (incoming, i) { + inTracer._select (nodeIndex, i)._wait (); + logger._print ('Outgoing edge count of ' + incoming + ' is ' + outgoingEdgeCounts [incoming]); + oecTracer._select (incoming)._wait (); + + inNodeSummation += (ranks [incoming] / outgoingEdgeCounts [incoming]); + + oecTracer._deselect (incoming)._wait (); + inTracer._deselect (nodeIndex, i)._wait (); + }); + logger._print ('In-Node summation of ' + nodeIndex + ' = ' + inNodeSummation); + + result = (1 - damping) + (damping * inNodeSummation); + logger._print ('Therefore, using Equation, new rank of ' + nodeIndex + ' = ' + result); + return result; +} + +var damping = 0.85, + iterations = 7; +var initialRank = 1.0; + +logger._print ('Initialized all Page ranks to ' + initialRank); +ranks = filledArray (G.length, initialRank); + +rankTracer._setData (ranks); +logger._print ('Begin execution of PageRank Version #1'); +logger._print ('Equation used: PR (X) = (1 - D) + D (In-Node-Summation i->X (PR (I) / Out (i)))'); +logger._print ('D = Damping Factor, PR (X) = Page rank of Node X, i = the ith In-Node of X, Out (i) = outgoing Edge Count of i'); +logger._print (''); + +while (iterations--) { + for (var node = 0; node < ranks.length; node++) { + ranks [node] = updateRank (node); + rankTracer._notify (node, ranks [node])._wait (); + rankTracer._notify (node)._wait (); + } +} + +logger._print ('Page Ranks have been converged to.') +ranks.forEach (function (rank, node) { + logger._print ('Rank of Node #' + node + ' = ' + rank); +}); +logger._print ('Done'); \ No newline at end of file diff --git a/algorithm/graph_search/page_rank/basic/data.js b/algorithm/graph_search/page_rank/basic/data.js new file mode 100644 index 00000000..97623181 --- /dev/null +++ b/algorithm/graph_search/page_rank/basic/data.js @@ -0,0 +1,21 @@ +function filledArray (length, value) { + return Array.apply (null, Array (length)).map (Number.prototype.valueOf, value); +} + +var G = new DirectedGraph.random (5, 0.4), + ranks, + outgoingEdgeCounts = filledArray (G.length, 0), + incomingNodes; + +var graphTracer = new DirectedGraphTracer ('Web Page inter-connections'), + rankTracer = new Array1DTracer ('Web Page Ranks'), + oecTracer = new Array1DTracer ('Outgoing Edge Counts'), + inTracer = new Array2DTracer ('Incoming Nodes'); + +var logger = new LogTracer (); + +graphTracer._setData (G); +oecTracer._setData (outgoingEdgeCounts); + +for (incomingNodes = []; incomingNodes.length < G.length; incomingNodes.push (filledArray (G.length, -1))); +inTracer._setData (incomingNodes); \ No newline at end of file diff --git a/algorithm/graph_search/page_rank/desc.json b/algorithm/graph_search/page_rank/desc.json new file mode 100644 index 00000000..c704ea1f --- /dev/null +++ b/algorithm/graph_search/page_rank/desc.json @@ -0,0 +1,18 @@ +{ + "PageRank-Algorithm": "PageRank is an algorithm used by Google Search to rank websites in their search engine results.
Before viewing this visualization, we recommend you give the E-Factory Page a read (link provided under References).
The top-most view simulates a mini-internet: a web of connections. A directed edge from A to B means that web Page A provides a link to B. The next view will display the final ranks. We first calculate the no. of links a page has, i.e., its outgoing edges and display in the next view pane.
The last visual is an array of arrays. From 0 (top of matrix) down to the Nth Node (bottom), each stores an array of the Nodes pointing to it.
For eg-if the first line of Matrix says \"2 3 -1 -1 -1\", it means Web Page 2 and 3 have a link to Web Page 0. The -1s represent null (nothing).
The bottom-most view is where you will see the logs as the algorithm progresses.", + "Applications": [ + "Web Page Indexing for refining search results" + ], + "Complexity": { + "time": "worst $O(|V|+|E|)$", + "space": "worst $O(|V|)$" + }, + "References": [ + "Princeton university", + "E-Factory" + ], + "files": { + "basic": "Version #1 of PageRank Algorithm (does not take into account the total number of nodes in the graph, i.e., number of pages on web).", + "v2": "Version #2 divides (1 - D), where D = damping factor, by N, the total no. of documents on internet (nodes in Graph). The resultant Page Ranks form a probability distribution." + } +} diff --git a/algorithm/graph_search/page_rank/v2/code.js b/algorithm/graph_search/page_rank/v2/code.js new file mode 100644 index 00000000..3116b864 --- /dev/null +++ b/algorithm/graph_search/page_rank/v2/code.js @@ -0,0 +1,106 @@ +/* + PageRank Algorithm Version 2 + Equation: + PR (X) = ( (1 - D)/N ) + D (Summation i->X (PR (I) / Out (i))) + NOTE: Algorithm uses the recommended damping factor (D). Number of iterations is small because only a small Web of 5 Pages is simulated +*/ + +function arraySum (array) { + return array.reduce (function (sum, curr) { + return sum + (curr ? 1 : 0); //if curr is 0 (no edge) or undefined (loop not allowed), sum remains unchanged + }, 0); +} + +function showOutgoingEdges (i) { + G [i].forEach (function (edgeExists, j) { + edgeExists && graphTracer._visit (j, i)._wait () && graphTracer._leave (j, i)._wait (); + }); +} + +//PRECOMPUTATIONS + +logger._print ('Calculate Outgoing Edge Count for each Node'); +(function calculateOEC () { + var count = 0; + G.forEach (function (relations, i) { + outgoingEdgeCounts [i] = arraySum (relations); + showOutgoingEdges (i); + + oecTracer._notify (i, outgoingEdgeCounts [i])._wait (); + oecTracer._denotify (i)._wait (); + }); +}) (); + +logger._print ('determine incoming nodes for each node'); +(function determineIN () { + for (var i = 0; i < G.length; i++) { + for (var j = 0; j < G.length; j++) { + if (G [i] [j]) { + //there's an edge FROM i TO j + graphTracer._visit (j, i)._wait (); + + var nextPos = incomingNodes [j].indexOf (-1); + incomingNodes [j] [nextPos] = i; + inTracer._notify (j, nextPos, i)._wait (); + inTracer._denotify (j, nextPos)._wait (); + + graphTracer._leave (j, i)._wait (); + } + } + } + + //logger._print ('All -1s will be removed from incoming node records, they are irrelevant'); + incomingNodes.forEach (function (arr) { + arr.splice (arr.indexOf (-1)); + }); +}) (); + +function updateRank (nodeIndex) { + var inNodeSummation = 0, result; + + logger._print ('Updating rank of ' + nodeIndex); + logger._print ('The incoming Nodes of ' + nodeIndex + ' are being highlighted'); + + incomingNodes [nodeIndex].forEach (function (incoming, i) { + inTracer._select (nodeIndex, i)._wait (); + logger._print ('Outgoing edge count of ' + incoming + ' is ' + outgoingEdgeCounts [incoming]); + oecTracer._select (incoming)._wait (); + + inNodeSummation += (ranks [incoming] / outgoingEdgeCounts [incoming]); + + oecTracer._deselect (incoming)._wait (); + inTracer._deselect (nodeIndex, i)._wait (); + }); + logger._print ('In-Node summation of ' + nodeIndex + ' = ' + inNodeSummation); + + result = ((1 - damping) / G.length) + (damping * inNodeSummation); //notice the subtle difference between equations of Basic PR & PR version 2 (divide by N) + logger._print ('Therefore, using Equation, new rank of ' + nodeIndex + ' = ' + result); + return result; +} + +var damping = 0.85, + iterations = 7; +var initialRank = 1.0; + +logger._print ('Initialized all Page ranks to ' + initialRank); +ranks = filledArray (G.length, initialRank); + +rankTracer._setData (ranks); +logger._print ('Begin execution of PageRank Version #1'); +logger._print ('Equation used: PR (X) = (1 - D) + D (In-Node-Summation i->X (PR (I) / Out (i)))'); +logger._print ('D = Damping Factor, PR (X) = Page rank of Node X, i = the ith In-Node of X, Out (i) = outgoing Edge Count of i'); +logger._print (''); + +while (iterations--) { + for (var node = 0; node < ranks.length; node++) { + ranks [node] = updateRank (node); + rankTracer._notify (node, ranks [node])._wait (); + rankTracer._notify (node)._wait (); + } +} + +logger._print ('Page Ranks have been converged to.') +ranks.forEach (function (rank, node) { + logger._print ('Rank of Node #' + node + ' = ' + rank); +}); +logger._print ('Done'); diff --git a/algorithm/graph_search/page_rank/v2/data.js b/algorithm/graph_search/page_rank/v2/data.js new file mode 100644 index 00000000..97623181 --- /dev/null +++ b/algorithm/graph_search/page_rank/v2/data.js @@ -0,0 +1,21 @@ +function filledArray (length, value) { + return Array.apply (null, Array (length)).map (Number.prototype.valueOf, value); +} + +var G = new DirectedGraph.random (5, 0.4), + ranks, + outgoingEdgeCounts = filledArray (G.length, 0), + incomingNodes; + +var graphTracer = new DirectedGraphTracer ('Web Page inter-connections'), + rankTracer = new Array1DTracer ('Web Page Ranks'), + oecTracer = new Array1DTracer ('Outgoing Edge Counts'), + inTracer = new Array2DTracer ('Incoming Nodes'); + +var logger = new LogTracer (); + +graphTracer._setData (G); +oecTracer._setData (outgoingEdgeCounts); + +for (incomingNodes = []; incomingNodes.length < G.length; incomingNodes.push (filledArray (G.length, -1))); +inTracer._setData (incomingNodes); \ No newline at end of file diff --git a/algorithm/graph_search/tarjan/basic/code.js b/algorithm/graph_search/tarjan/basic/code.js new file mode 100644 index 00000000..7b7ef4ed --- /dev/null +++ b/algorithm/graph_search/tarjan/basic/code.js @@ -0,0 +1,90 @@ +function SCCVertex(u, disc, low, st, stackMember, carry) +{ + graphTracer._visit(u)._wait(); + + disc[u] = ++carry.time; + discTracer._notify(u, carry.time)._wait(); + + low[u] = carry.time; + lowTracer._notify(u, carry.time)._wait(); + + st.push(u); + stTracer._setData(st)._wait(); + + stackMember[u] = true; + stackMemberTracer._notify(u, true)._wait(); + + // Go through all vertices adjacent to this + for (var v = 0; v < G[u].length; v++) { + if (G[u][v]) { + + // If v is not visited yet, then recur for it + if (disc[v] == -1) { + SCCVertex(v, disc, low, st, stackMember, carry); + + // Check if the subtree rooted with 'v' has a + // connection to one of the ancestors of 'u' + low[u] = Math.min(low[u], low[v]); + lowTracer._notify(u, low[u]); + } + + // Update low value of 'u' only of 'v' is still in stack + // (i.e. it's a back edge, not cross edge). + else if (stackMember[v] == true) { + low[u] = Math.min(low[u], disc[v]); + lowTracer._notify(u, low[u])._wait(); + } + + } + } + + // head node found, pop the stack and print an SCC + var w = 0; // To store stack extracted vertices + if (low[u] == disc[u]) { + + while (st[st.length-1] != u) { + w = st.pop(); + stTracer._setData(st)._wait(); + + logger._print(w)._wait(); + + stackMember[w] = false; + stackMemberTracer._notify(w, false)._wait(); + } + + w = st.pop(); + stTracer._setData(st)._wait(); + + logger._print(w)._wait(); + logger._print('------'); + + stackMember[w] = false; + stackMemberTracer._notify(w, false)._wait(); + } +} + +function SCC() +{ + var disc = new Array(G.length); + var low = new Array(G.length); + var stackMember = new Array(G.length); + var st = []; + var carry = { time: 0 }; + + for (var i = 0; i < G.length; i++) { + disc[i] = -1; + low[i] = -1; + stackMember[i] = false; + } + + discTracer._setData(disc); + lowTracer._setData(low); + stackMemberTracer._setData(stackMember); + stTracer._setData(st); + + for (var i = 0; i < G.length; i++) { + if (disc[i] == -1) { + SCCVertex(i, disc, low, st, stackMember, carry); + } + } +} \ No newline at end of file diff --git a/algorithm/graph_search/tarjan/basic/data.js b/algorithm/graph_search/tarjan/basic/data.js new file mode 100644 index 00000000..f47b3019 --- /dev/null +++ b/algorithm/graph_search/tarjan/basic/data.js @@ -0,0 +1,20 @@ +var G = [ +[0,0,1,1,0,0], +[1,0,0,0,0,0], +[0,1,0,0,0,0], +[0,0,0,1,0,0], +[0,0,0,0,0,1], +[0,0,0,0,1,0] +]; + +var graphTracer = new DirectedGraphTracer(); +graphTracer._setData(G); + +var discTracer = new Array1DTracer('Disc'); +var lowTracer = new Array1DTracer('Low'); +var stackMemberTracer = new Array1DTracer('stackMember'); +var stTracer = new Array1DTracer('st'); + +var logger = new LogTracer(); + +SCC(); \ No newline at end of file diff --git a/algorithm/graph_search/tarjan/desc.json b/algorithm/graph_search/tarjan/desc.json new file mode 100644 index 00000000..bbadbd0d --- /dev/null +++ b/algorithm/graph_search/tarjan/desc.json @@ -0,0 +1,12 @@ +{ + "Tarjan": "Tarjan's algorithm is an algorithm in graph theory for finding the strongly connected components of a graph", + "Complexity": { + "time": "worst $O(|V|+|E|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Find the strongly connected components of a graph" + } +} diff --git a/algorithm/graph_search/topological_sort/desc.json b/algorithm/graph_search/topological_sort/desc.json new file mode 100644 index 00000000..469dfe72 --- /dev/null +++ b/algorithm/graph_search/topological_sort/desc.json @@ -0,0 +1,21 @@ +{ + "Topological-Sort": "Topological sorting for Directed Acyclic Graph (DAG) is a linear ordering of vertices such that for every directed edge uv, vertex u comes before v in the ordering. Topological Sorting for a graph is not possible if the graph is not a DAG. NOTE: when the graph is represented as an Adjacency Matrix, the Calculation of in-degree Array becomes O(|V|2)", + "Applications": [ + "Job Scheduling", + "Instruction Scheduling", + "Logic Synthesis", + "Determining the order of compilation tasks to perform in makefiles", + "Data serialization" + ], + "Complexity": { + "time": "worst $O(|V|+|E|)$", + "space": "worst $O(|V|)$" + }, + "References": [ + "GeeksForGeeks", + "GeeksForGeeks" + ], + "files": { + "kahn_algorithm": "Performing Topological Sort using Queue Data Structure & an array of In-degrees" + } +} diff --git a/algorithm/graph_search/topological_sort/kahn_algorithm/code.js b/algorithm/graph_search/topological_sort/kahn_algorithm/code.js new file mode 100644 index 00000000..8d230bda --- /dev/null +++ b/algorithm/graph_search/topological_sort/kahn_algorithm/code.js @@ -0,0 +1,56 @@ +(function topologicalSort() { + var inDegrees = Array.apply(null, Array(G.length)).map(Number.prototype.valueOf, 0); //create an Array of G.length number of 0s + var Q = [], iter = 0, i; + + logger._print('Calculating in-degrees for each Node...'); + for (var currNode = 0; currNode < G.length; currNode++) { + for (var currNodeNeighbor = 0; currNodeNeighbor < G.length; currNodeNeighbor++) { + if (G [currNode] [currNodeNeighbor]) { + logger._print(currNodeNeighbor + ' has an incoming edge from ' + currNode); + tracer._visit(currNodeNeighbor, currNode)._wait(); + inDegrees [currNodeNeighbor]++; + tracer._leave(currNodeNeighbor, currNode)._wait(); + } + } + } + logger._print('Done. In-Degrees are: [ ' + String(inDegrees) + ' ]'); + logger._print(''); + + logger._print('Initializing queue with all the sources (nodes with no incoming edges)'); + inDegrees.map(function (indegrees, node) { + tracer._visit(node)._wait(); + if (!indegrees) { + logger._print(node + ' is a source'); + Q.push(node); + } + tracer._leave(node)._wait(); + }); + logger._print('Done. Initial State of Queue: [ ' + String(Q) + ' ]'); + logger._print(''); + + //begin topological sort (kahn) + while (Q.length > 0) { + logger._print('Iteration #' + iter + '. Queue state: [ ' + String(Q) + ' ]'); + currNode = Q.shift(); + tracer._visit(currNode)._wait(); + + for (i = 0; i < G.length; i++) { + if (G [currNode] [i]) { + logger._print(i + ' has an incoming edge from ' + currNode + '. Decrementing ' + i + '\'s in-degree by 1.'); + tracer._visit(i, currNode)._wait(); + inDegrees [i]--; + tracer._leave(i, currNode)._wait(); + + if (!inDegrees [i]) { + logger._print(i + '\'s in-degree is now 0. Enqueuing ' + i); + Q.push(i); + } + } + } + tracer._leave(currNode)._wait(); + logger._print('In-degrees are: [' + String(inDegrees) + ' ]'); + logger._print('-------------------------------------------------------------------'); + + iter++; + } +})(); \ No newline at end of file diff --git a/algorithm/graph_search/topological_sort/kahn_algorithm/data.js b/algorithm/graph_search/topological_sort/kahn_algorithm/data.js new file mode 100644 index 00000000..54f7aef4 --- /dev/null +++ b/algorithm/graph_search/topological_sort/kahn_algorithm/data.js @@ -0,0 +1,13 @@ +var tracer = new DirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +// G[i][j] indicates whether the path from the i-th node to the j-th node exists or not. NOTE: The graph must be Directed-Acyclic +var G = [ + [0, 0, 0, 0, 0, 0], + [0, 0, 1, 0, 0, 0], + [0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0], + [1, 0, 0, 1, 0, 0], + [1, 1, 0, 0, 0, 0] +]; +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/greedy/job_scheduling/desc.json b/algorithm/greedy/job_scheduling/desc.json new file mode 100644 index 00000000..3e5af3ef --- /dev/null +++ b/algorithm/greedy/job_scheduling/desc.json @@ -0,0 +1,16 @@ +{ + "Job Scheduling Algorithm": "An array of jobs along with their deadline and profit (if job completes within deadline) where every job takes single unit of time. Maximize total profit if only one job can be scheduled at a time.", + "Applications": [ + + ], + "Complexity": { + "time": " $O(N^2)$", + "space": "$O(N)$" + }, + "References": [ + "mit.edu" + ], + "files": { + "job_scheduling": "Job Scheduling Algorithm" + } +} diff --git a/algorithm/greedy/job_scheduling/job_scheduling/code.js b/algorithm/greedy/job_scheduling/job_scheduling/code.js new file mode 100644 index 00000000..badf3935 --- /dev/null +++ b/algorithm/greedy/job_scheduling/job_scheduling/code.js @@ -0,0 +1,54 @@ +// sort according to decreasing order of profit +// Bubble sort implemented ... Implement a better algorithm for better performance +for (var i = 0; i < N - 1; i++) { + for (var j = 0; j < N - i - 1; j++) { + if (profit[j] < profit[j + 1]) { + var temp = profit[j]; + profit[j] = profit[j + 1]; + profit[j + 1] = temp; + temp = deadline[j]; + deadline[j] = deadline[j + 1]; + deadline[j + 1] = temp; + var t = jobId[j]; + jobId[j] = jobId[j + 1]; + jobId[j + 1] = t; + } + } +} + +var slot = new Array(N); +var result = new Array(N); +for (var i = N - 1; i >= 0; i--) { + result[i] = '-'; +} +tracer._setData(jobId); +tracer1._setData(deadline); +tracer2._setData(profit); +tracer3._setData(result); + +// Initialise all slots to free +for (var i = 0; i < N; i++) { + slot[i] = 0; +} + +// Iterate through all the given jobs +for (var i = 0; i < N; i++) { + /* + Start from the last possible slot. + Find a slot for the job + */ + tracer._select(i)._wait(); + tracer1._select(i)._wait(); + for (var j = Math.min(N, deadline[i]) - 1; j >= 0; j--) { + if (slot[j] === 0) { + tracer3._notify(j, jobId[i])._wait(); + result[j] = jobId[i]; + slot[j] = 1; + tracer3._denotify(j); + break; + } + } + tracer._deselect(i); + tracer1._deselect(i); +} + diff --git a/algorithm/greedy/job_scheduling/job_scheduling/data.js b/algorithm/greedy/job_scheduling/job_scheduling/data.js new file mode 100644 index 00000000..e1f04164 --- /dev/null +++ b/algorithm/greedy/job_scheduling/job_scheduling/data.js @@ -0,0 +1,9 @@ +var jobId = ['a','b','c','d','e']; +var deadline = [2,1,2,1,3]; +var profit = [100,19,27,25,15]; +var N = deadline.length; + +var tracer3 = new Array1DTracer('Schedule'); +var tracer = new Array1DTracer('Job Ids'); +var tracer1 = new Array1DTracer('Deadlines'); +var tracer2 = new Array1DTracer('Profit'); diff --git a/algorithm/greedy/majority_element/basic/code.js b/algorithm/greedy/majority_element/basic/code.js new file mode 100644 index 00000000..0e883db9 --- /dev/null +++ b/algorithm/greedy/majority_element/basic/code.js @@ -0,0 +1,63 @@ +function isMajorityElement ( element ) { + var count = 0; + logger._print ('Verify majority element ' + element ); + for (var i = N - 1; i >= 0; i--) { + tracer._notify (i,A[i])._wait (); + if (A[i] == element) { + count++; + } else { + tracer._denotify (i); + } + } + logger._print ('Count of our assumed majority element ' + count); + if(count>Math.floor (N/2)) { + logger._print ('Our assumption was correct!'); + return true; + } + logger._print ('Our assumption was incorrect!'); + return false; +} + +function findProbableElement () { + var index = 0, count = 1; + tracer._select (index)._wait(); + logger._print ('Beginning with assumed majority element : ' + A[index] + ' count : ' +count); + logger._print ('--------------------------------------------------------'); + for( var i = 1; i < N; i++ ) { + tracer._notify (i,A[i])._wait (); + if(A[index]==A[i]) { + count++; + logger._print ('Same as assumed majority element! Count : ' + count); + } else { + count--; + logger._print ('Not same as assumed majority element! Count : ' + count); + } + + if(count===0) { + logger._print ('Wrong assumption in majority element'); + tracer._deselect (index); + tracer._denotify (i); + index = i; + count = 1; + tracer._select (i)._wait (); + logger._print ('New assumed majority element!'+ A[i] +' Count : '+count); + logger._print ('--------------------------------------------------------'); + } else { + tracer._denotify (i); + } + } + logger._print ('Finally assumed majority element ' + A[index]); + logger._print ('--------------------------------------------------------'); + return A[index]; +} + +function findMajorityElement () { + var element = findProbableElement (); + if(isMajorityElement (element) === true) { + logger._print ('Majority element is ' + element); + } else { + logger._print ('No majority element'); + } +} + +findMajorityElement (); \ No newline at end of file diff --git a/algorithm/greedy/majority_element/basic/data.js b/algorithm/greedy/majority_element/basic/data.js new file mode 100644 index 00000000..f415f0b9 --- /dev/null +++ b/algorithm/greedy/majority_element/basic/data.js @@ -0,0 +1,5 @@ +var A = [ 1, 3, 3, 2, 1, 1, 1 ]; +var N = A.length; + +var tracer = new Array1DTracer('List of element')._setData (A); +var logger = new LogTracer ('Console'); \ No newline at end of file diff --git a/algorithm/greedy/majority_element/desc.json b/algorithm/greedy/majority_element/desc.json new file mode 100644 index 00000000..afc61d82 --- /dev/null +++ b/algorithm/greedy/majority_element/desc.json @@ -0,0 +1,13 @@ +{ + "Majority Element(Boyer–Moore majority vote algorithm)": "The majority vote problem is to determine in any given sequence of choices whether there is a choice with more occurrences than half of the total number of choices in the sequence and if so, to determine this choice.", + "Complexity": { + "time": " $O(N)$", + "space": "$O(logN)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Find majority element in array using Boyer–Moore majority vote algorithm" + } +} diff --git a/algorithm/mst/kruskal/desc.json b/algorithm/mst/kruskal/desc.json new file mode 100644 index 00000000..99c1d9fc --- /dev/null +++ b/algorithm/mst/kruskal/desc.json @@ -0,0 +1,14 @@ +{ + "Kruskal's Algorithm": "Greedy algorithm that finds a minimum spanning tree for a weighted undirected graph.", + "Applications": [ + ], + "Complexity": { + "time": "worst $O(E\\, log(E))$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "normal": "Finds minimum spanning tree of a given graph." + } +} diff --git a/algorithm/mst/kruskal/normal/code.js b/algorithm/mst/kruskal/normal/code.js new file mode 100644 index 00000000..44e6451d --- /dev/null +++ b/algorithm/mst/kruskal/normal/code.js @@ -0,0 +1,51 @@ +function kruskal() { + var vcount = G.length; + + // Preprocess: sort edges by weight. + var edges = []; + for (var vi = 0; vi < vcount - 1; vi++) { + for (var vj = vi + 1; vj < vcount; vj++) { + edges.push({ + 0: vi, + 1: vj, + weight: G[vi][vj] + }); + } + } + edges.sort(function (ei, ej) { + return ei.weight - ej.weight + }); + + // Give each vertex a tree to decide if they are already in the same tree. + var t = []; + for (var i = 0; i < vcount; i++) { + t[i] = {}; + t[i][i] = true; + } + + var wsum = 0; + for (var n = 0; n < vcount - 1 && edges.length > 0;) { + var e = edges.shift(); // Get the edge of min weight + tracer._visit(e[0], e[1])._wait(); + if (t[e[0]] === t[e[1]]) { + // e[0] & e[1] already in the same tree, ignore + tracer._leave(e[0], e[1])._wait(); + continue; + } + + // Choose the current edge. + wsum += e.weight; + + // Merge tree of e[0] & e[1] + var tmerged = {}; + for (i in t[e[0]]) tmerged[i] = true; + for (i in t[e[1]]) tmerged[i] = true; + for (i in tmerged) t[i] = tmerged; + + n += 1; + } + + logger._print("The sum of all edges is: " + wsum); +} + +kruskal(); diff --git a/algorithm/mst/kruskal/normal/data.js b/algorithm/mst/kruskal/normal/data.js new file mode 100644 index 00000000..f2697ae5 --- /dev/null +++ b/algorithm/mst/kruskal/normal/data.js @@ -0,0 +1,11 @@ +var tracer = new WeightedUndirectedGraphTracer(); +var logger = new LogTracer(); +/*var G = [ // G[i][j] indicates the weight of the path from the i-th node to the j-th node + [0, 3, 0, 1, 0], + [5, 0, 1, 2, 4], + [1, 0, 0, 2, 0], + [0, 2, 0, 0, 1], + [0, 1, 3, 0, 0] + ];*/ +var G = WeightedUndirectedGraph.random(5, 1, 1, 9); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/mst/prim/desc.json b/algorithm/mst/prim/desc.json new file mode 100644 index 00000000..259190c8 --- /dev/null +++ b/algorithm/mst/prim/desc.json @@ -0,0 +1,14 @@ +{ + "Prim's Algorithm": "Greedy algorithm that finds a minimum spanning tree for a weighted undirected graph.", + "Applications": [ + ], + "Complexity": { + "time": "worst $O(|V|^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "normal": "Finds minimum spanning tree of a given graph." + } +} diff --git a/algorithm/mst/prim/normal/code.js b/algorithm/mst/prim/normal/code.js new file mode 100644 index 00000000..6f4137a5 --- /dev/null +++ b/algorithm/mst/prim/normal/code.js @@ -0,0 +1,31 @@ +function prim() { + // Finds a tree so that there exists a path between + // every two nodes while keeping the cost minimal + var minD, minI, minJ, sum = 0, D = []; + for (var i = 0; i < G.length; i++) D.push(0); + D[0] = 1; // First node is visited + for (var k = 0; k < G.length - 1; k++) { // Searching for k edges + minD = Infinity; + for (i = 0; i < G.length; i++) + if (D[i]) // First node in an edge must be visited + for (var j = 0; j < G.length; j++) + if (!D[j] && G[i][j]) { + tracer._visit(i, j)._wait(); + // Second node must not be visited and must be connected to first node + if (G[i][j] < minD) { + // Searching for cheapest edge which satisfies requirements + minD = G[i][j]; + minI = i; + minJ = j; + } + tracer._leave(i, j)._wait(); + } + tracer._visit(minI, minJ)._wait(); + D[minJ] = 1; // Visit second node and insert it into or tree + sum += G[minI][minJ]; + } + logger._print("The sum of all edges is: " + sum); +} + +logger._print("nodes that belong to minimum spanning tree are: "); +prim(); \ No newline at end of file diff --git a/algorithm/mst/prim/normal/data.js b/algorithm/mst/prim/normal/data.js new file mode 100644 index 00000000..67d1a6e9 --- /dev/null +++ b/algorithm/mst/prim/normal/data.js @@ -0,0 +1,12 @@ +var tracer = new WeightedUndirectedGraphTracer(); +var logger = new LogTracer(); +tracer.attach(logger); +/*var G = [ // G[i][j] indicates the weight of the path from the i-th node to the j-th node + [0, 3, 0, 1, 0], + [5, 0, 1, 2, 4], + [1, 0, 0, 2, 0], + [0, 2, 0, 0, 1], + [0, 1, 3, 0, 0] + ];*/ +var G = WeightedUndirectedGraph.random(10, .4, 1, 9); +tracer._setData(G); \ No newline at end of file diff --git a/algorithm/number_theory/euclidean_algorithm/basic/code.js b/algorithm/number_theory/euclidean_algorithm/basic/code.js new file mode 100644 index 00000000..64ded91f --- /dev/null +++ b/algorithm/number_theory/euclidean_algorithm/basic/code.js @@ -0,0 +1,28 @@ +logger._print("Finding the greatest common divisor of " + a[0] + " and " + a[1]); + +logger._print("Checking if first number is at most the second number"); + +if(a[0] > a[1]) { + var tmp = a[0]; + a[0] = a[1]; + a[1] = tmp; + logger._print("The first number is bigger than the second number. Switching the numbers."); + tracer._setData(a)._wait(); +} + +while(a[0] > 0) { + logger._print(a[1] + " % " + a[0] + " = " + a[1]%a[0]); + logger._print("Switching a[1] with a[1]%a[0]"); + a[1] %= a[0]; + tracer._notify(1, a[1])._wait(); + logger._print("Now switching the two values to keep a[0] < a[1]"); + var tmp = a[0]; + a[0] = a[1]; + a[1] = tmp; + tracer._notify(0, a[0]); + tracer._notify(1, a[1])._wait(); + tracer._denotify(0); + tracer._denotify(1); +} + +logger._print("The greatest common divisor is " + a[1]); \ No newline at end of file diff --git a/algorithm/number_theory/euclidean_algorithm/basic/data.js b/algorithm/number_theory/euclidean_algorithm/basic/data.js new file mode 100644 index 00000000..54da74ba --- /dev/null +++ b/algorithm/number_theory/euclidean_algorithm/basic/data.js @@ -0,0 +1,6 @@ +var tracer = new Array1DTracer('Euclidean Algorithm'); +var a = []; +a.push(465); +a.push(255) +tracer._setData(a); +var logger = new LogTracer(); diff --git a/algorithm/number_theory/euclidean_algorithm/desc.json b/algorithm/number_theory/euclidean_algorithm/desc.json new file mode 100644 index 00000000..57f25e52 --- /dev/null +++ b/algorithm/number_theory/euclidean_algorithm/desc.json @@ -0,0 +1,13 @@ +{ + "Euclidean Algorithm": "Finds the greatest common divisor of two positive integers. The Euclidean Algorithm uses the fact that gcd(m, n) = gcd(m, n % m).", + "Complexity": { + "time": "$O(log(m)log(n))$", + "space": "$O(1)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Euclidean Algorithm" + } +} diff --git a/algorithm/number_theory/freivalds_algorithm/basic/code.js b/algorithm/number_theory/freivalds_algorithm/basic/code.js new file mode 100644 index 00000000..a4f2d89f --- /dev/null +++ b/algorithm/number_theory/freivalds_algorithm/basic/code.js @@ -0,0 +1,55 @@ +function FreivaldsAlgorithm() { + var k = 5; + var i, j, tmp, tmpB, tmpC, n = A.length; + + while (k--) { + logger._print('Iterations remained: #' + k); + + // Generate random vector + var r = [], P = []; + for (i = 0; i < n; i++) { + P.push(-1); + r.push( (Math.random() < 0.5) << 0); + } + _r._setData(r)._wait(); + + // Compute Br, Cr + var Br = [], Cr = []; + for (i = 0; i < n; i++) { + tmpB = 0; + tmpC = 0; + for (j = 0; j < n; j++) { + tmpB += r[j] * B[j][i]; + tmpC += r[j] * C[j][i]; + } + Br.push(tmpB); + Cr.push(tmpC); + } + + // Compute A * Br - Cr + P = []; + for (i = 0; i < n; i++) { + tmp = 0; + for (j = 0; j < n; j++) { + tmp += (A[i][j] * Br[i]) - Cr[i]; + } + P.push(tmp); + } + _p._setData(P)._wait(); + + for (i = 0; i < n; i++) { + if (P[i] !== 0) { + logger._print('P[' + i + '] !== 0 (' + P[i] + '), exit'); + return false; + } + } + + logger._print('Result vector is identity, continue...'); + + + } + + return true; +} + +FreivaldsAlgorithm(); \ No newline at end of file diff --git a/algorithm/number_theory/freivalds_algorithm/basic/data.js b/algorithm/number_theory/freivalds_algorithm/basic/data.js new file mode 100644 index 00000000..93b48b3b --- /dev/null +++ b/algorithm/number_theory/freivalds_algorithm/basic/data.js @@ -0,0 +1,12 @@ +var A = [[2,3],[3,4]]; +var B = [[1,0],[1,2]]; +var C = [[6,5],[8,7]]; + +var _a = new Array2DTracer('Matrix A'); _a._setData(A); +var _b = new Array2DTracer('Matrix B'); _b._setData(B); +var _c = new Array2DTracer('Matrix C'); _c._setData(C); + +var logger = new LogTracer(); + +var _r = new Array1DTracer('Random Vector'); +var _p = new Array1DTracer('Result Vector'); diff --git a/algorithm/number_theory/freivalds_algorithm/desc.json b/algorithm/number_theory/freivalds_algorithm/desc.json new file mode 100644 index 00000000..474a8e4d --- /dev/null +++ b/algorithm/number_theory/freivalds_algorithm/desc.json @@ -0,0 +1,12 @@ +{ + "Freivalds Algorithm": "Freivalds' algorithm is a probabilistic randomized algorithm used to verify matrix multiplication. Given three n × n matrices A, B, and C, a general problem is to verify whether A*B=C", + "Complexity": { + "time": "$O(n^2)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Freivalds Algorithm" + } +} diff --git a/algorithm/number_theory/miller_rabin_primality_test/basic/code.js b/algorithm/number_theory/miller_rabin_primality_test/basic/code.js new file mode 100644 index 00000000..5e20dd11 --- /dev/null +++ b/algorithm/number_theory/miller_rabin_primality_test/basic/code.js @@ -0,0 +1,91 @@ +// Utility function to do modular exponentiation. +// It returns (x^y) % p +function power(x, y, p) +{ + var res = 1; + x = x % p; + while (y > 0) { + // If y is odd, multiply x with result + if (y & 1) res = (res*x) % p; + // y must be even now + y = y>>1; // y = y/2 + x = (x*x) % p; + } + return res; +} + + +/** + * Determine if N is prime using Miller-Rabin probabilistic algorithm + * @param {Number} n The number + * @param {Number} k An integer that determine the accuracy of the solution + * @return {Boolean} + */ +function testProbablyPrime(n, k) { + logger._print("==> Testing number " + n); + + if (n === 1 || n === 3) { + logger._print("==> Simple case, N is 1 or 3"); + return true; + } + if (n % 2 === 0) { + logger._print("==> Simple case, " + n + " mod 2 = 0"); + return false; + } + + // Write (n - 1) as 2^s * d + var d = n-1; + while (d % 2 === 0) { + d /= 2; + } + logger._print("d = " + d); + + // Do 5 iterations if none supplied + k = k || 5; + var P = 100 * (1 - (1/Math.pow(4, k))); + + WitnessLoop: do { + logger._print("Remaining iterations: #" + k); + + var a = 2 + Math.floor(Math.random() * (n - 4)); + logger._print("--> first test with random = " + a); + + // Compute a^d % n + var x = power(a, d, n); + + if (x === 1 || x === n - 1) { + logger._print("--> continue WitnessLoop, x = 1 or x = n-1"); + continue; + } + + logger._print("--> second test"); + + // Keep squaring x while one of the following doesn't + // happen + // (i) d does not reach n-1 + // (ii) (x^2) % n is not 1 + // (iii) (x^2) % n is not n-1 + var i = d; + while (i != n-1) { + x = (x * x) % n; + i *= 2; + + if (x == 1) { + logger._print("--> exiting, " + n + " is composite"); + return false; + } + + if (x == n-1) { + logger._print("--> continue WitnessLoop"); + continue WitnessLoop; + } + } + + logger._print("--> exiting, " + n + " is composite 'cause (n-1) is reached"); + return false; + + } while (--k); + + logger._print("End of tests, " + n + " is probably prime with probabilty of " + P + "%"); + return true; +} \ No newline at end of file diff --git a/algorithm/number_theory/miller_rabin_primality_test/basic/data.js b/algorithm/number_theory/miller_rabin_primality_test/basic/data.js new file mode 100644 index 00000000..fed79228 --- /dev/null +++ b/algorithm/number_theory/miller_rabin_primality_test/basic/data.js @@ -0,0 +1,18 @@ +var logger = new LogTracer(); + +var a = Math.floor(Math.random()*300); if (a % 2 === 0) a += 1; +testProbablyPrime(a); +logger._print("----------"); + +var a = Math.floor(Math.random()*300); if (a % 2 === 0) a += 1; +testProbablyPrime(a); +logger._print("----------"); + +var a = Math.floor(Math.random()*300); if (a % 2 === 0) a += 1; +testProbablyPrime(a); +logger._print("----------"); + +testProbablyPrime(151); +logger._print("----------"); + +testProbablyPrime(199, 10); \ No newline at end of file diff --git a/algorithm/number_theory/miller_rabin_primality_test/desc.json b/algorithm/number_theory/miller_rabin_primality_test/desc.json new file mode 100644 index 00000000..a4ee242e --- /dev/null +++ b/algorithm/number_theory/miller_rabin_primality_test/desc.json @@ -0,0 +1,13 @@ +{ + "Miller-Rabin primality test": "Determines whether a given number is prime", + "Complexity": { + "time": "$O(klog^{3}(n)))$", + "probability": "$1 - (1/(4^{k}))$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Miller Rabin primality test" + } +} diff --git a/algorithm/number_theory/sieve_of_eratosthenes/basic/code.js b/algorithm/number_theory/sieve_of_eratosthenes/basic/code.js new file mode 100644 index 00000000..931df4bc --- /dev/null +++ b/algorithm/number_theory/sieve_of_eratosthenes/basic/code.js @@ -0,0 +1,16 @@ +logger._print("1 is not prime"); +tracer._select(0)._wait(); +for (var i = 2; i <= N; i++) { + if (b[i] === 0) { + logger._print(i + " is not marked, so it is prime"); + // a[i-1] is prime mark by red indicators + tracer._notify(i - 1)._wait(); + for (var j = i + i; j <= N; j += i) { + b[j] = 1; // a[j-1] is not prime, mark by blue indicators + logger._print(j + " is a multiple of " + i + " so it is marked as composite"); + tracer._select(j - 1)._wait(); + } + tracer._denotify(i - 1); + } +} +logger._print("The unmarked numbers are the prime numbers from 1 to " + N); diff --git a/algorithm/number_theory/sieve_of_eratosthenes/basic/data.js b/algorithm/number_theory/sieve_of_eratosthenes/basic/data.js new file mode 100644 index 00000000..3b91bc35 --- /dev/null +++ b/algorithm/number_theory/sieve_of_eratosthenes/basic/data.js @@ -0,0 +1,10 @@ +var tracer = new Array1DTracer('Sieve'); +var N = 30; +var a = []; +var b = []; +for (var i = 1; i <= N; i++) { + a.push(i); + b.push(0); +} +tracer._setData(a); +var logger = new LogTracer(); diff --git a/algorithm/number_theory/sieve_of_eratosthenes/desc.json b/algorithm/number_theory/sieve_of_eratosthenes/desc.json new file mode 100644 index 00000000..1e81dbe7 --- /dev/null +++ b/algorithm/number_theory/sieve_of_eratosthenes/desc.json @@ -0,0 +1,13 @@ +{ + "Sieve of Eratosthenes": "Finding all prime numbers up to a given range.", + "Complexity": { + "time": "$O(n\\,(log\\,n)(log\\,log\\,n))$", + "space": "$O(n^{\\frac{1}{2}})$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Sieve of Eratosthenes" + } +} diff --git a/algorithm/scratch_paper/data.js b/algorithm/scratch_paper/data.js new file mode 100644 index 00000000..e69de29b diff --git a/algorithm/scratch_paper/desc.json b/algorithm/scratch_paper/desc.json new file mode 100644 index 00000000..eb982379 --- /dev/null +++ b/algorithm/scratch_paper/desc.json @@ -0,0 +1,11 @@ +{ + "Scratch Paper": "Write down your own algorithm to be visualized.", + "Code written in the ...": { + "... top editor": "predefines data variables that will be shown in a visualizing module.", + "... bottom editor": "actually implements and visualizes the algorithm." + }, + "Be our contributor": "If you want to add your code to the side menu, check out our wiki!", + "files": { + "scratch_paper": "Write down your own algorithm!" + } +} \ No newline at end of file diff --git a/algorithm/search/binary_search/desc.json b/algorithm/search/binary_search/desc.json new file mode 100644 index 00000000..c0c18cb2 --- /dev/null +++ b/algorithm/search/binary_search/desc.json @@ -0,0 +1,18 @@ +{ + "Binary Search": "Binary Search is a search algorithm that finds the position of a target value within a sorted array. It works by comparing the target value to the middle element of the array; if they are unequal, the lower or upper half of the array is eliminated depending on the result and the search is repeated in the remaining subarray until it is successful.", + "Applications": [ + "Finding values in a sorted collection", + "Traversing binary search trees" + ], + "Complexity": { + "time": "worst $O(log(N))$, best $O(1)$, average $O(log(N))$", + "space": "worst $O(log(N))$ - recursive, $O(1)$ - iterative" + }, + "References": [ + "Wikipedia" + ], + "files": { + "recursive": "Recursively searching a sorted array", + "iterative": "Iteratively searching a sorted array" + } +} diff --git a/algorithm/search/binary_search/iterative/code.js b/algorithm/search/binary_search/iterative/code.js new file mode 100644 index 00000000..f1d52d14 --- /dev/null +++ b/algorithm/search/binary_search/iterative/code.js @@ -0,0 +1,43 @@ +function BinarySearch(array, element) { // array = sorted array, element = element to be found + var minIndex = 0; + var maxIndex = array.length - 1; + var testElement; + + while (minIndex <= maxIndex) { + + var middleIndex = Math.floor((minIndex + maxIndex) / 2); + testElement = array[middleIndex]; + + tracer._select(minIndex, maxIndex)._wait(); + tracer._notify(middleIndex); + logger._print('Searching at index: ' + middleIndex)._wait(); + tracer._denotify(middleIndex); + tracer._deselect(minIndex, maxIndex); + + if (testElement < element) { + + logger._print('Going right.'); + minIndex = middleIndex + 1; + + } else if (testElement > element) { + + logger._print('Going left.'); + maxIndex = middleIndex - 1; + + } else { + + logger._print(element + ' is found at position ' + middleIndex + '!'); + tracer._select(middleIndex); + + return middleIndex; + } + } + + logger._print(element + ' is not found!'); + return -1; +} + +var element = D[Integer.random(0, D.length - 1)]; + +logger._print('Using iterative binary search to find ' + element); +BinarySearch(D, element); diff --git a/algorithm/search/binary_search/iterative/data.js b/algorithm/search/binary_search/iterative/data.js new file mode 100644 index 00000000..722972c8 --- /dev/null +++ b/algorithm/search/binary_search/iterative/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.randomSorted(15, 0, 50); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/search/binary_search/recursive/code.js b/algorithm/search/binary_search/recursive/code.js new file mode 100644 index 00000000..76ebba6e --- /dev/null +++ b/algorithm/search/binary_search/recursive/code.js @@ -0,0 +1,39 @@ +function BinarySearch(array, element, minIndex, maxIndex) { // array = sorted array, element = element to be found, minIndex = low index, maxIndex = high index + if (minIndex > maxIndex) { + logger._print(element + ' is not found!'); + return -1; + } + + var middleIndex = Math.floor((minIndex + maxIndex) / 2); + var testElement = array[middleIndex]; + + tracer._select(minIndex, maxIndex)._wait(); + tracer._notify(middleIndex); + logger._print('Searching at index: ' + middleIndex)._wait(); + tracer._denotify(middleIndex); + tracer._deselect(minIndex, maxIndex); + + if (testElement < element) { + logger._print('Going right.'); + return BinarySearch(array, element, middleIndex + 1, maxIndex); + } + + if (testElement > element) { + logger._print('Going left.'); + return BinarySearch(array, element, minIndex, middleIndex - 1); + } + + if (testElement === element) { + logger._print(element + ' is found at position ' + middleIndex + '!'); + tracer._select(middleIndex); + return middleIndex; + } + + logger._print(element + ' is not found!'); + return -1; +} + +var element = D[Integer.random(0, D.length - 1)]; + +logger._print('Using binary search to find ' + element); +BinarySearch(D, element, 0, D.length - 1); \ No newline at end of file diff --git a/algorithm/search/binary_search/recursive/data.js b/algorithm/search/binary_search/recursive/data.js new file mode 100644 index 00000000..722972c8 --- /dev/null +++ b/algorithm/search/binary_search/recursive/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.randomSorted(15, 0, 50); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/bubble/basic/code.js b/algorithm/sorting/bubble/basic/code.js new file mode 100644 index 00000000..ffbbbde8 --- /dev/null +++ b/algorithm/sorting/bubble/basic/code.js @@ -0,0 +1,23 @@ +logger._print('original array = [' + D.join(', ') + ']'); +var N = D.length; +var swapped; +do { + swapped = false; + tracer._select(N - 1)._wait(); + for (var i = 1; i < N; i++) { + tracer._select(i)._wait(); + if (D[i - 1] > D[i]) { + logger._print('swap ' + D[i - 1] + ' and ' + D[i]); + var temp = D[i - 1]; + D[i - 1] = D[i]; + D[i] = temp; + swapped = true; + tracer._notify(i - 1, D[i - 1])._notify(i, D[i])._wait(); + tracer._denotify(i - 1)._denotify(i); + } + tracer._deselect(i); + } + tracer._deselect(N - 1); + N--; +} while (swapped); +logger._print('sorted array = [' + D.join(', ') + ']'); \ No newline at end of file diff --git a/algorithm/sorting/bubble/basic/data.js b/algorithm/sorting/bubble/basic/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/bubble/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/bubble/desc.json b/algorithm/sorting/bubble/desc.json new file mode 100644 index 00000000..8c2486b8 --- /dev/null +++ b/algorithm/sorting/bubble/desc.json @@ -0,0 +1,13 @@ +{ + "Bubble Sort": "Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the list to be sorted, compares each pair of adjacent items and swaps them if they are in the wrong order. The pass through the list is repeated until no swaps are needed, which indicates that the list is sorted.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n)$, average $O(n^2)$", + "space": "worst $O(1)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Bubble sort" + } +} diff --git a/algorithm/sorting/bucket/basic/code.js b/algorithm/sorting/bucket/basic/code.js new file mode 100644 index 00000000..435b87a9 --- /dev/null +++ b/algorithm/sorting/bucket/basic/code.js @@ -0,0 +1,34 @@ +//place numbers into appropriate buckets +for (let i = 0; i < array.length; i++) { + var bucketPos = Math.floor(numBuckets * (array[i] / maxValue)); + buckets[bucketPos].push(array[i]); + bucketsCount[bucketPos]++; + tracer._select(0, i)._wait(); + tracer._notify(1, bucketPos, D[1][bucketPos])._wait(); + tracer._deselect(0, i); + tracer._denotify(1, bucketPos, D[1][bucketPos]); +} + +var sortLocation = 0; +for (let k = 0; k < buckets.length; k++) { + //do insertion sort + for (let i = 1; i < buckets[k].length; i++) { + var key = buckets[k][i]; + var j; + for (j = i - 1; (j >= 0) && (buckets[k][j] > key); j--) { + buckets[k][j + 1] = buckets[k][j]; + } + buckets[k][j + 1] = key; + } + + //place ordered buckets into sorted array + for (let i = 0; i < buckets[k].length; i++) { + sortedArray[sortLocation] = buckets[k][i]; + bucketsCount[k]--; + tracer._notify(1, k, D[1][k]); + tracer._notify(2, sortLocation, D[2][sortLocation])._wait(); + tracer._denotify(1, k, D[1][k]); + tracer._denotify(2, sortLocation, D[2][sortLocation]); + sortLocation++; + } +} \ No newline at end of file diff --git a/algorithm/sorting/bucket/basic/data.js b/algorithm/sorting/bucket/basic/data.js new file mode 100644 index 00000000..96c451e9 --- /dev/null +++ b/algorithm/sorting/bucket/basic/data.js @@ -0,0 +1,24 @@ +var maxValue = 100; +var arraySize = 10; +var numBuckets = 5; + +//initialize array values +var array = Array1D.random(arraySize, 0, maxValue - 1); +var buckets = []; +var bucketsCount = []; +var sortedArray = []; +for (let i = 0; i < arraySize; i++) { + if (i < numBuckets) { + buckets[i] = []; + bucketsCount[i] = 0; + } + sortedArray[i] = 0; +} +var D = [ + array, + bucketsCount, + sortedArray +]; + +var tracer = new Array2DTracer(); +tracer._setData(D); diff --git a/algorithm/sorting/bucket/desc.json b/algorithm/sorting/bucket/desc.json new file mode 100644 index 00000000..573c122e --- /dev/null +++ b/algorithm/sorting/bucket/desc.json @@ -0,0 +1,13 @@ +{ + "Bucket Sort": "Bucket sort, or bin sort, is a sorting algorithm that works by distributing the elements of an array into a number of buckets. Each bucket is then sorted individually, either using a different sorting algorithm, or by recursively applying the bucket sorting algorithm.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n+k)$, average $O(n+k)$ where $n$ is the number of buckets and $k$ is the range of the input", + "space": "worst $O(n \\cdot k)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Bucket sort" + } +} diff --git a/algorithm/sorting/comb/basic/code.js b/algorithm/sorting/comb/basic/code.js new file mode 100644 index 00000000..185563ac --- /dev/null +++ b/algorithm/sorting/comb/basic/code.js @@ -0,0 +1,34 @@ +logger._print('original array = [' + D.join(', ') + ']'); +var N = D.length; +var swapped; +var gap = N; // initialize gap size +var shrink = 1.3; // set the gap shrink factor + +do{ + // update the gap value for the next comb. + gap = Math.floor( gap/shrink ); + if( gap < 1 ){ + // minimum gap is 1 + gap = 1; + } + + swapped = false; // initialize swapped + // a single comb over the input list + for( var i=0; i+gap < N; i++ ){ + tracer._select(i)._select(i+gap)._wait(); + + if( D[i] > D[i+gap] ){ + logger._print('swap ' + D[i] + ' and ' + D[i+gap]); // log swap event + + var temp = D[i]; + D[i] = D[i+gap]; + D[i+gap] = temp; + + tracer._notify(i, D[i])._notify(i+gap, D[i+gap])._wait(); + tracer._denotify(i)._denotify(i+gap); + + swapped = true; // Flag swapped has happened and list is not guaranteed sorted + } + tracer._deselect(i)._deselect(i+gap); + } // End of combing +} while( gap!=1 || swapped ) \ No newline at end of file diff --git a/algorithm/sorting/comb/basic/data.js b/algorithm/sorting/comb/basic/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/comb/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/comb/desc.json b/algorithm/sorting/comb/desc.json new file mode 100644 index 00000000..05f20aee --- /dev/null +++ b/algorithm/sorting/comb/desc.json @@ -0,0 +1,13 @@ +{ + "Comb Sort": "Comb sort is a relatively simple sorting algorithm originally designed by Włodzimierz Dobosiewicz in 1980. Later it was rediscovered by Stephen Lacey and Richard Box in 1991. Comb sort improves on bubble sort.

The basic idea is to eliminate turtles, or small values near the end of the list, since in a bubble sort these slow the sorting down tremendously. Rabbits, large values around the beginning of the list, do not pose a problem in bubble sort.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n \\,log \\,n)$, average $O(n^2 / 2^p)$, where $p$ is the number of increment)", + "space": "worst $O(1)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Bubble sort" + } +} diff --git a/algorithm/sorting/counting/basic/code.js b/algorithm/sorting/counting/basic/code.js new file mode 100644 index 00000000..dbc783bb --- /dev/null +++ b/algorithm/sorting/counting/basic/code.js @@ -0,0 +1,24 @@ +//set counts values +for (let i = 0; i < A.length; i++) { + tracer._select(0, i)._wait(); + counts[A[i]]++; + tracer._notify(1, A[i], D[1][A[i]])._wait(); + tracer._deselect(0, i); + tracer._denotify(1, A[i], D[1][A[i]])._wait(); +} + +//sort +var i = 0; +for (var j = 0; j <= maxValue; j++) { + while (counts[j] > 0) { + tracer._select(1, j)._wait(); + sortedA[i] = j; + counts[j]--; + tracer._notify(1, j, D[1][j]); + tracer._notify(2, i, D[2][i])._wait(); + tracer._deselect(1, j); + tracer._denotify(1, j, D[1][j]); + tracer._denotify(2, i, D[2][i])._wait(); + i++; + } +} \ No newline at end of file diff --git a/algorithm/sorting/counting/basic/data.js b/algorithm/sorting/counting/basic/data.js new file mode 100644 index 00000000..4ed48bcb --- /dev/null +++ b/algorithm/sorting/counting/basic/data.js @@ -0,0 +1,19 @@ +var maxValue = 9; +var arrSize = 10; + +//initialize array values +var A = Array1D.random(arrSize, 0, maxValue); +var counts = []; +var sortedA = []; +for (let i = 0; i <= maxValue; i++) { + counts[i] = 0; + if (i < arrSize) sortedA[i] = 0; +} +var D = [ + A, + counts, + sortedA +]; + +var tracer = new Array2DTracer(); +tracer._setData(D); diff --git a/algorithm/sorting/counting/desc.json b/algorithm/sorting/counting/desc.json new file mode 100644 index 00000000..ae8e469b --- /dev/null +++ b/algorithm/sorting/counting/desc.json @@ -0,0 +1,13 @@ +{ + "Counting Sort": "Counting sort is a sorting algorithm for a collection of objects. Sorting is done according to the keys (small integers) of the objects. This works by counting the number of objects that have each distinct key value, and then using those counts to determine the positions of each key value.", + "Complexity": { + "time": "worst $O(n+k)$, best $O(n)$, average $O(n+k)$ where $n$ is the number of elements in the input array and $k$ is the range of the output", + "space": "worst $O(n+k)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Counting sort" + } +} diff --git a/algorithm/sorting/cycle/basic/code.js b/algorithm/sorting/cycle/basic/code.js new file mode 100644 index 00000000..b03a21a7 --- /dev/null +++ b/algorithm/sorting/cycle/basic/code.js @@ -0,0 +1,80 @@ +logger._print('original array = [' + D.join(', ') + ']'); +var N = D.length; +var writes = 0; // number of writing performed +var pos; // the index of item in the sorted array +var item; // an item in the array +var temp; // a temp value used for storing swapped item +for (var cycleStart = 0; cycleStart <= N - 2; cycleStart++) { + item = D[cycleStart]; + + // find where to put the item + pos = cycleStart; + tracer._select(cycleStart); + + for (var i = cycleStart + 1; i <= N - 1; i++) { + tracer._select(i)._wait()._deselect(i); + if (D[i] < item) { + pos++; + } + } + + // if the item is already there, this is not a circle + if (pos === cycleStart) { + tracer._deselect(cycleStart); + continue; + } + + // otherwise put the item there or right after any duplicates + while (item === D[pos]) { + pos++; + } + + // write item to new index and increment writes + temp = D[pos]; + D[pos] = item; + item = temp; + + writes++; + + if (pos !== cycleStart) { + logger._print('Rewrite ' + D[pos] + ' to index ' + pos + '; the next value to rewrite is ' + item); + } else { + logger._print('Rewrite ' + D[pos] + ' to index ' + pos); + } + tracer._select(pos)._wait()._deselect(pos); + tracer._notify(pos, D[pos])._notify(cycleStart, D[cycleStart])._wait(); + tracer._denotify(pos)._denotify(cycleStart); + + // rotate the rest of the cycle + while (pos !== cycleStart) { + pos = cycleStart; + + for (i = cycleStart + 1; i <= N - 1; i++) { + tracer._select(i)._wait()._deselect(i); + if (D[i] < item) { + pos++; + } + } + + while (item === D[pos]) { + pos++; + } + + temp = D[pos]; + D[pos] = item; + item = temp; + + if (pos !== cycleStart) { + logger._print('Rewrite ' + D[pos] + ' to index ' + pos + '; the next value to rewrite is ' + item); + } else { + logger._print('Rewrite ' + D[pos] + ' to index ' + pos); + } + tracer._select(pos)._wait()._deselect(pos); + tracer._notify(pos, D[pos])._notify(cycleStart, D[cycleStart])._wait(); + tracer._denotify(pos)._denotify(cycleStart); + + writes++; + } +} + +logger._print('Number of writes performed is ' + writes); diff --git a/algorithm/sorting/cycle/basic/data.js b/algorithm/sorting/cycle/basic/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/cycle/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/cycle/desc.json b/algorithm/sorting/cycle/desc.json new file mode 100644 index 00000000..6437c270 --- /dev/null +++ b/algorithm/sorting/cycle/desc.json @@ -0,0 +1,13 @@ +{ + "Cycle Sort": "Cycle sort is an in-place, unstable sorting algorithm, a comparison sort that is theoretically optimal in terms of the total number of writes to the original array, unlike any other in-place sorting algorithm. It is based on the idea that the permutation to be sorted can be factored into cycles, which can individually be rotated to give a sorted result.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n^2)$, average $O(n^2)$", + "space": "worst $O(1)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Cycle Sort" + } +} diff --git a/algorithm/sorting/heap/basic/code.js b/algorithm/sorting/heap/basic/code.js new file mode 100644 index 00000000..0e9d324c --- /dev/null +++ b/algorithm/sorting/heap/basic/code.js @@ -0,0 +1,56 @@ +logger._print('Original array = [' + D.join(', ') + ']'); + +function heapSort(array, size) { + var i, j, temp; + + for (i = Math.ceil(size / 2) - 1; i >= 0; i--) { + heapify(array, size, i); + } + + for (j = size - 1; j >= 0; j--) { + temp = array[0]; + array[0] = array[j]; + array[j] = temp; + + tracer._notify(0, array[0])._notify(j, array[j]); + logger._print('Swapping elements : ' + array[0] + ' & ' + array[j])._wait(); + tracer._denotify(0)._denotify(j); + tracer._select(j)._wait(); + + heapify(array, j, 0); + + tracer._deselect(j); + } +} + +function heapify(array, size, root) { + + var largest = root; + var left = 2 * root + 1; + var right = 2 * root + 2; + var temp; + + if (left < size && array[left] > array[largest]) { + largest = left; + } + + if (right < size && array[right] > array[largest]) { + largest = right; + } + + if (largest != root) { + temp = array[root]; + array[root] = array[largest]; + array[largest] = temp; + + tracer._notify(root, array[root])._notify(largest, array[largest]); + logger._print('Swapping elements : ' + array[root] + ' & ' + array[largest])._wait(); + tracer._denotify(root)._denotify(largest); + + heapify(array, size, largest); + } +} + +heapSort(D, D.length); + +logger._print('Final array = [' + D.join(', ') + ']'); diff --git a/algorithm/sorting/heap/basic/data.js b/algorithm/sorting/heap/basic/data.js new file mode 100644 index 00000000..69e23e94 --- /dev/null +++ b/algorithm/sorting/heap/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(10); +tracer._setData(D); diff --git a/algorithm/sorting/heap/desc.json b/algorithm/sorting/heap/desc.json new file mode 100644 index 00000000..1a90c831 --- /dev/null +++ b/algorithm/sorting/heap/desc.json @@ -0,0 +1,13 @@ +{ + "Heap Sort": "Heapsort is a comparison-based sorting algorithm. Heapsort can be thought of as an improved selection sort: like that algorithm, it divides its input into a sorted and an unsorted region, and it iteratively shrinks the unsorted region by extracting the largest element and moving that to the sorted region. The improvement consists of the use of a heap data structure rather than a linear-time search to find the maximum.", + "Complexity": { + "time": "worst $O(n \\, log \\, n)$, best $O(n \\, log \\, n)$, average $O(n \\, log \\, n)$", + "space": "worst $O(1)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Heap sort" + } +} diff --git a/algorithm/sorting/insertion/basic/code.js b/algorithm/sorting/insertion/basic/code.js new file mode 100644 index 00000000..7b976875 --- /dev/null +++ b/algorithm/sorting/insertion/basic/code.js @@ -0,0 +1,17 @@ +logger._print('original array = [' + D.join(', ') + ']'); +for (var i = 1; i < D.length; i++) { + var key = D[i]; + logger._print('insert ' + key); + tracer._select(i)._wait(); + var j; + for (j = i - 1; (j >= 0) && (D[j] > key); j--) { + D[j + 1] = D[j]; + tracer._notify(j + 1, D[j + 1])._wait(); + tracer._denotify(j + 1); + } + D[j + 1] = key; + tracer._notify(j + 1, D[j + 1])._wait(); + tracer._denotify(j + 1); + tracer._deselect(i); +} +logger._print('sorted array = [' + D.join(', ') + ']'); \ No newline at end of file diff --git a/algorithm/sorting/insertion/basic/data.js b/algorithm/sorting/insertion/basic/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/insertion/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/insertion/desc.json b/algorithm/sorting/insertion/desc.json new file mode 100644 index 00000000..b4791f81 --- /dev/null +++ b/algorithm/sorting/insertion/desc.json @@ -0,0 +1,13 @@ +{ + "Insertion Sort": "Insertion sort is a simple sorting algorithm that builds the final sorted array (or list) one item at a time. It is much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n)$, average $O(n^2)$", + "space": "worst $O(1)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Insertion sort" + } +} diff --git a/algorithm/sorting/merge/bottom_up/code.js b/algorithm/sorting/merge/bottom_up/code.js new file mode 100644 index 00000000..29427235 --- /dev/null +++ b/algorithm/sorting/merge/bottom_up/code.js @@ -0,0 +1,85 @@ +logger._print('original array = [' + D[0].join(', ') + ']'); + +function mergeSort(start, end) { + if (Math.abs(end - start) <= 1) return; + + var mergeFrom = 0, mergeTo = 1, width, i; + for (width = 1; width < end; width = width * 2) { + /**/logger._print('merging arrays of width: ' + width); + for (i = 0; i < end; i = i + 2 * width) { + merge(mergeFrom, i, Math.min(i + width, end), Math.min(i + 2 * width, end), mergeTo); + } + //this could be copy(mergeTo, mergeFrom, start, end); + //but it is more effecient to swap the input arrays + //if you did copy here, you wouldn't need the copy at the end + mergeFrom = (mergeFrom === 0 ? 1 : 0); + mergeTo = 1 - mergeFrom; + } + if (mergeFrom !== 0) { + /**/logger._print('final copy to original'); + copy(mergeFrom, mergeTo, start, end); + } +} + +function merge(mergeFrom, start, middle, end, mergeTo) { + var i = start, j = middle, k; + //in an actual merge implementation, mergeFrom and mergeTo would be arrays + //here for the ability to trace what is going on better, the arrays are D[mergeFrom] and D[mergeTo] + /**/logger._print('merging segments [' + start + '..' + middle + '] and [' + middle + '..' + end + ']'); + /**/tracer._selectRow(mergeFrom, start, end-1)._wait(); + /**/tracer._deselectRow(mergeFrom, start, end-1); + + for (k = start; k < end; k++) { + /**/if (j < end) { + /**/ tracer._select(mergeFrom, j); + /**/} + /**/if (i < middle) { + /**/ tracer._select(mergeFrom, i); + /**/} + /**/if (i < middle && j < end) { + /**/ logger._print('compare index ' + i + ' and ' + j + ', values: ' + D[mergeFrom][i] + ' and ' + D[mergeFrom][j])._wait(); + /**/} + + if (i < middle && (j >= end || D[mergeFrom][i] <= D[mergeFrom][j])) { + /**/if (j < end) { + /**/ logger._print('writing smaller value to output'); + /**/} else { + /**/ logger._print('copying index ' + i + ' to output'); + /**/} + /**/tracer._notify(mergeTo, k, D[mergeFrom][i])._wait(); + /**/tracer._denotify(mergeTo, k); + /**/tracer._deselect(mergeFrom, i); + + D[mergeTo][k] = D[mergeFrom][i]; + i = i + 1; + } else { + /**/if(i < middle) { + /**/ logger._print('writing smaller value to output'); + /**/} else { + /**/ logger._print('copying index ' + j + ' to output'); + /**/} + /**/tracer._notify(mergeTo, k, D[mergeFrom][j])._wait(); + /**/tracer._denotify(mergeTo, k); + /**/tracer._deselect(mergeFrom, j); + + D[mergeTo][k] = D[mergeFrom][j]; + j = j + 1; + } + } +} + +function copy(mergeFrom, mergeTo, start, end) { + var i; + for (i = start; i < end; i++) { + /**/tracer._select(mergeFrom, i); + /**/tracer._notify(mergeTo, i, D[mergeFrom][i])._wait(); + + D[mergeTo][i] = D[mergeFrom][i]; + + /**/tracer._deselect(mergeFrom, i); + /**/tracer._denotify(mergeTo, i); + } +} + +mergeSort(0, D[0].length); +logger._print('sorted array = [' + D[0].join(', ') + ']'); diff --git a/algorithm/sorting/merge/bottom_up/data.js b/algorithm/sorting/merge/bottom_up/data.js new file mode 100644 index 00000000..f53b3789 --- /dev/null +++ b/algorithm/sorting/merge/bottom_up/data.js @@ -0,0 +1,8 @@ +var tracer = new Array2DTracer(); +var logger = new LogTracer(); +var D = [ + Array1D.random(20, 0, 50), + Array1D.random(20, 0, 0) +]; + +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/merge/desc.json b/algorithm/sorting/merge/desc.json new file mode 100644 index 00000000..852e070e --- /dev/null +++ b/algorithm/sorting/merge/desc.json @@ -0,0 +1,14 @@ +{ + "Merge Sort": "In computer science, merge sort (also commonly spelled mergesort) is an efficient, general-purpose, comparison-based sorting algorithm. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. Mergesort is a divide and conquer algorithm that was invented by John von Neumann in 1945. A detailed description and analysis of bottom-up mergesort appeared in a report by Goldstine and Neumann as early as 1948.", + "Complexity": { + "time": "average $O(n \\, log \\, n)$", + "space": "worst $O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "bottom_up": "Bottom-up implementation", + "top_down_list": "Top-down implementation using lists" + } +} diff --git a/algorithm/sorting/merge/top_down_list/code.js b/algorithm/sorting/merge/top_down_list/code.js new file mode 100644 index 00000000..e1d554d7 --- /dev/null +++ b/algorithm/sorting/merge/top_down_list/code.js @@ -0,0 +1,67 @@ +logger._print('original array = [' + D.join(', ') + ']'); + +function mergeSort(start, end) { + if (Math.abs(end - start) <= 1) return []; + var middle = Math.ceil((start + end) / 2); + + mergeSort(start, middle); + mergeSort(middle, end); + + logger._print('divide left[' + start + ', ' + (middle - 1) + '], right[' + (middle) + ', ' + (end - 1) + ']'); + return mergeSort.merge(start, middle, end); +} + +mergeSort.merge = function (start, middle, end) { + var leftSize = middle - start; + var rightSize = end - middle; + var maxSize = Math.max(leftSize, rightSize); + var size = end - start; + var left = []; + var right = []; + var i; + + for (i = 0; i < maxSize; i++) { + if (i < leftSize) { + left.push(D[start + i]); + tracer._select(start + i); + logger._print('insert value into left array[' + i + '] = ' + D[start + i])._wait(); + } + if (i < rightSize) { + right.push(D[middle + i]); + tracer._select(middle + i); + logger._print('insert value into right array[' + i + '] = ' + D[middle + i])._wait(); + } + } + logger._print('left array = [' + left.join(', ') + '], ' + 'right array = [' + right.join(', ') + ']'); + + i = 0; + while (i < size) { + if (left[0] && right[0]) { + if (left[0] > right[0]) { + D[start + i] = right.shift(); + logger._print('rewrite from right array[' + i + '] = ' + D[start + i]); + } else { + D[start + i] = left.shift(); + logger._print('rewrite from left array[' + i + '] = ' + D[start + i]); + } + } else if (left[0]) { + D[start + i] = left.shift(); + logger._print('rewrite from left array[' + i + '] = ' + D[start + i]); + } else { + D[start + i] = right.shift(); + logger._print('rewrite from right array[' + i + '] = ' + D[start + i]); + } + + tracer._deselect(start + i); + tracer._notify(start + i, D[start + i])._wait(); + tracer._denotify(start + i); + i++; + } + + var tempArray = []; + for (i = start; i < end; i++) tempArray.push(D[i]); + logger._print('merged array = [' + tempArray.join(', ') + ']'); +}; + +mergeSort(0, D.length); +logger._print('sorted array = [' + D.join(', ') + ']'); diff --git a/algorithm/sorting/merge/top_down_list/data.js b/algorithm/sorting/merge/top_down_list/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/merge/top_down_list/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/pancake/basic/code.js b/algorithm/sorting/pancake/basic/code.js new file mode 100644 index 00000000..61d99aab --- /dev/null +++ b/algorithm/sorting/pancake/basic/code.js @@ -0,0 +1,31 @@ +logger._print('original array = [' + D.join(', ') + ']'); +var N = D.length; +function flip (start) { + tracer._select(start, N)._wait(); + var idx = 0; + for (var i=start;i<(start+N)/2;i++) { + tracer._select(i)._wait(); + var temp = D[i]; + D[i] = D[N-idx-1]; + D[N-idx-1] = temp; + idx++; + tracer._notify(i, D[i])._notify(N-idx, D[N-idx])._wait(); + tracer._denotify(i)._denotify(N-idx); + tracer._deselect(i); + } + tracer._deselect(start, N); +} +for (var i=0;i { + return (curr > prev.val) ? { idx: idx, val: curr} : prev; + }, {idx: 0, val: currArr[0]}); + if (currMax.idx !== 0) { // if currMax.idx === 0 that means max element already at the bottom, no flip required + logger._print('flip at ' + (currMax.idx+i) + ' (step 1)'); + flip(currMax.idx+i, N); + logger._print('flip at ' + (i) + ' (step 2)'); + flip(i, N); + } +} +logger._print('sorted array = [' + D.join(', ') + ']'); diff --git a/algorithm/sorting/pancake/basic/data.js b/algorithm/sorting/pancake/basic/data.js new file mode 100644 index 00000000..69e23e94 --- /dev/null +++ b/algorithm/sorting/pancake/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(10); +tracer._setData(D); diff --git a/algorithm/sorting/pancake/desc.json b/algorithm/sorting/pancake/desc.json new file mode 100644 index 00000000..e116e4f2 --- /dev/null +++ b/algorithm/sorting/pancake/desc.json @@ -0,0 +1,14 @@ +{ + "Pancake Sort": "Pancake Sort,inspired from sorting a stack of pancake using spatula, is a simple sorting algorithm that only have 1 operation called flip.
flip (i) : Reverse array from i to N where N is length of array ", + "Complexity": { + "time": "worst $O(n^2)$", + "space": "worst $O(1)$ auxiliary" + }, + "References": [ + "Wikipedia", + "Geeksforgeeks" + ], + "files": { + "basic": "Pancake sort" + } +} diff --git a/algorithm/sorting/pigeonhole/basic/code.js b/algorithm/sorting/pigeonhole/basic/code.js new file mode 100644 index 00000000..385f8d8a --- /dev/null +++ b/algorithm/sorting/pigeonhole/basic/code.js @@ -0,0 +1,42 @@ +var min = A[0]; +var max = A[0]; + +for( var i = 1; i < N; i++ ) { + if( A[i] < min ) { + min = A[i]; + } + if( A[i] > max ) { + max = A[i]; + } +} +var range = max - min + 1; + +var holes = new Array ( range ); +for ( var i = 0; i < range; i++ ) { + holes[i] = []; +} +tracer2._setData( holes ); + +logTracer._print ( 'Filling up holes' ); +for ( var i = 0; i < N ; i++ ) { + tracer1._select ( i )._wait (); + + holes[ A[i] - min ].push( A[i] ); + + tracer2._setData( holes ); + tracer1._deselect ( i ); +} + +logTracer._print ( 'Building sorted array' ); +var k = 0; +for ( var i = 0; i < range ; i++ ) { + for (var j = 0; j < holes[i].length; j++ ) { + tracer2._select ( i, j )._wait (); + A[k++] = holes[i][j]; + tracer1._notify ( k-1, A[k-1] )._wait (); + tracer2._deselect ( i, j ); + tracer1._denotify ( k-1 ); + } +} + +logTracer._print ( 'Sorted array is ' + A ); \ No newline at end of file diff --git a/algorithm/sorting/pigeonhole/basic/data.js b/algorithm/sorting/pigeonhole/basic/data.js new file mode 100644 index 00000000..69384fe6 --- /dev/null +++ b/algorithm/sorting/pigeonhole/basic/data.js @@ -0,0 +1,6 @@ +var A = Array1D.random(7); +var N = A.length; + +var tracer1 = new Array1DTracer ( 'Array' )._setData ( A ); +var tracer2 = new Array2DTracer ( 'Holes' ); +var logTracer = new LogTracer ( 'Console' ); \ No newline at end of file diff --git a/algorithm/sorting/pigeonhole/desc.json b/algorithm/sorting/pigeonhole/desc.json new file mode 100644 index 00000000..c9a1e246 --- /dev/null +++ b/algorithm/sorting/pigeonhole/desc.json @@ -0,0 +1,13 @@ +{ + "Pigeonhole Sort": "Pigeonhole sorting is a sorting algorithm that is suitable for sorting lists of elements where the number of elements (n) and the number of possible key values (N) are approximately the same.", + "Complexity": { + "time": " $O(n + N)$", + "space": "$O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Pigeonhole Sort" + } +} diff --git a/algorithm/sorting/quick/basic/code.js b/algorithm/sorting/quick/basic/code.js new file mode 100644 index 00000000..8d8618ed --- /dev/null +++ b/algorithm/sorting/quick/basic/code.js @@ -0,0 +1,40 @@ +logger._print('original array = [' + D.join(', ') + ']'); + +function partition(D, low, high) { + var i, j, s; + while (high > low) { + i = low; + j = high; + s = D[low]; + while (i < j) { + tracer._select(high)._select(low)._wait(); + while (D[j] > s){ + tracer._select(j)._wait(); + tracer._deselect(j); + j--; + } + D[i] = D[j]; + tracer._notify(i, D[j])._wait()._denotify(i); + while (s >= D[i] && i < j){ + tracer._select(i)._wait(); + tracer._deselect(i); + i++; + } + D[j] = D[i]; + tracer._notify(j, D[i])._wait()._denotify(j); + tracer._deselect(high)._deselect(low); + } + D[i] = s; + tracer._notify(i, s)._wait(); + tracer._denotify(i); + partition(D, low, i-1); + low = i+1; + } +} + +function quicksort(D) { + partition(D, 0, D.length-1); +} + +quicksort(D); +logger._print('sorted array = [' + D.join(', ') + ']'); diff --git a/algorithm/sorting/quick/basic/data.js b/algorithm/sorting/quick/basic/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/quick/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/quick/desc.json b/algorithm/sorting/quick/desc.json new file mode 100644 index 00000000..7ebe889a --- /dev/null +++ b/algorithm/sorting/quick/desc.json @@ -0,0 +1,13 @@ +{ + "Quicksort": "Quicksort (sometimes called partition-exchange sort) is an efficient sorting algorithm, serving as a systematic method for placing the elements of an array in order. Developed by Tony Hoare in 1959, with his work published in 1961, it is still a commonly used algorithm for sorting. When implemented well, it can be about two or three times faster than its main competitors, merge sort and heapsort.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n \\, log \\, n)$, average $O(n \\, log \\, n)$", + "space": "worst $O(n)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Quicksort" + } +} diff --git a/algorithm/sorting/radix/desc.json b/algorithm/sorting/radix/desc.json new file mode 100644 index 00000000..864e1fc2 --- /dev/null +++ b/algorithm/sorting/radix/desc.json @@ -0,0 +1,13 @@ +{ + "Radix LSD Sort": "Radix sort is a non-comparative integer sorting algorithm that sorts data with integer keys by grouping keys by the individual digits which share the same significant position and value.", + "Complexity": { + "time": "worst $O(n)$, best $O(n)$, average $O(n)$", + "space": "always $O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "lsd": "LSD Radix sort" + } +} diff --git a/algorithm/sorting/radix/lsd/code.js b/algorithm/sorting/radix/lsd/code.js new file mode 100644 index 00000000..912a19db --- /dev/null +++ b/algorithm/sorting/radix/lsd/code.js @@ -0,0 +1,54 @@ +logger._print('original array = [' + D[0].join(', ') + ']'); +function pow(base, expo) { + var ans = 1; + for (var i = 0; i < expo; i++) { + ans *= base; + } + return ans; +} +function digit(i, exp) { + return parseInt(D[0][i] / pow(10, exp) % 10); +} +for (var exp = 0; exp < 3; exp++) { + logger._print("Digit: " + exp); + var i; + for (i = 0; i < D[0].length; i++) { + var d = digit(i, exp); + tracer._select(0, i)._wait(); + D[2][d] += 1; + tracer._notify(2, d, D[2][d])._wait(); + tracer._denotify(2, d); + tracer._deselect(0, i); + } + for (i = 1; i < 10; i++) { + tracer._select(2, i - 1)._wait(); + D[2][i] += D[2][i - 1]; + tracer._notify(2, i, D[2][i])._wait(); + tracer._denotify(2, i); + tracer._deselect(2, i - 1); + } + for (i = D[0].length - 1; i >= 0; i--) { + var d = digit(i, exp); + tracer._select(0, i)._wait(); + D[2][d] -= 1; + tracer._notify(2, d, D[2][d])._wait(); + tracer._denotify(2, d); + D[1][D[2][d]] = D[0][i]; + tracer._notify(1, D[2][d], D[1][D[2][d]])._wait(); + tracer._denotify(1, D[2][d]); + tracer._deselect(0, i); + } + for (i = 0; i < D[0].length; i++) { + tracer._select(1, i)._wait(); + D[0][i] = D[1][i]; + tracer._notify(0, i, D[0][i])._wait(); + tracer._denotify(0, i); + tracer._deselect(1, i); + } + for (i = 0; i < 10; i++) { + D[2][i] = 0; + tracer._notify(2, i, D[2][i])._wait(); + tracer._denotify(2, i); + } +} +logger._print('sorted array = [' + D[0].join(', ') + ']'); diff --git a/algorithm/sorting/radix/lsd/data.js b/algorithm/sorting/radix/lsd/data.js new file mode 100644 index 00000000..ca70bcc1 --- /dev/null +++ b/algorithm/sorting/radix/lsd/data.js @@ -0,0 +1,9 @@ +var tracer = new Array2DTracer(); +var logger = new LogTracer(); +var k = Array1D.random(10, 1, 999); +var D = [ + k, + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +]; +tracer._setData(D); diff --git a/algorithm/sorting/selection/basic/code.js b/algorithm/sorting/selection/basic/code.js new file mode 100644 index 00000000..d82f637b --- /dev/null +++ b/algorithm/sorting/selection/basic/code.js @@ -0,0 +1,24 @@ +logger._print('original array = [' + D.join(', ') + ']'); +for (var i = 0; i < D.length - 1; i++) { + var minJ = i; + tracer._select(i)._wait(); + for (var j = i + 1; j < D.length; j++) { + tracer._select(j)._wait(); + if (D[j] < D[minJ]) { + minJ = j; + tracer._notify(j)._wait(); + tracer._denotify(j); + } + tracer._deselect(j); + } + if (minJ != i) { + logger._print('swap ' + D[i] + ' and ' + D[minJ]); + var temp = D[i]; + D[i] = D[minJ]; + D[minJ] = temp; + tracer._notify(i, D[i])._notify(minJ, D[minJ])._wait(); + tracer._denotify(i)._denotify(minJ); + } + tracer._deselect(i); +} +logger._print('sorted array = [' + D.join(', ') + ']'); \ No newline at end of file diff --git a/algorithm/sorting/selection/basic/data.js b/algorithm/sorting/selection/basic/data.js new file mode 100644 index 00000000..c4159839 --- /dev/null +++ b/algorithm/sorting/selection/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); \ No newline at end of file diff --git a/algorithm/sorting/selection/desc.json b/algorithm/sorting/selection/desc.json new file mode 100644 index 00000000..e9717e45 --- /dev/null +++ b/algorithm/sorting/selection/desc.json @@ -0,0 +1,13 @@ +{ + "Selection Sort": "Selection sort is a sorting algorithm, specifically an in-place comparison sort. It has O(n2) time complexity, making it inefficient on large lists, and generally performs worse than the similar insertion sort. Selection sort is noted for its simplicity, and it has performance advantages over more complicated algorithms in certain situations, particularly where auxiliary memory is limited.", + "Complexity": { + "time": "worst $O(n^2)$, best $O(n^2)$, average $O(n^2)$", + "space": "$O(1)$ auxiliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Selection sort" + } +} diff --git a/algorithm/sorting/shell/basic/code.js b/algorithm/sorting/shell/basic/code.js new file mode 100644 index 00000000..2b6e4e66 --- /dev/null +++ b/algorithm/sorting/shell/basic/code.js @@ -0,0 +1,30 @@ +logger._print('Original array = [' + D.join(', ') + ']'); +var N = D.length; + +for (var gap = N; gap = parseInt(gap / 2);) { + logger._print(''); + logger._print('Gap of ' + gap); + for (var i = gap; i < N; i++) { + tracer._select(i)._select(i - gap)._wait(); + var k = D[i]; + logger._print('Holding: ' + k) + for (var j = i; j >= gap && k < D[j - gap]; j -= gap) { + logger._print(k + ' < ' + D[j - gap]); + D[j] = D[j - gap]; + tracer._notify(j, D[j])._wait(); + tracer._denotify(j); + } + var old = D[j]; + D[j] = k; + if (old != k) { + tracer._notify(j,D[j])._wait(); + tracer._denotify(j); + logger._print('Swapped ' + D[j] + ' with ' + old); + } + + tracer._deselect(i)._deselect(i - gap); + } +} +tracer._clear(); +logger._print('') +logger._print('Sorted array = [' + D.join(', ') + ']'); diff --git a/algorithm/sorting/shell/basic/data.js b/algorithm/sorting/shell/basic/data.js new file mode 100644 index 00000000..9fe0cafb --- /dev/null +++ b/algorithm/sorting/shell/basic/data.js @@ -0,0 +1,5 @@ +var chart = new ChartTracer(); +var tracer = new Array1DTracer().attach(chart); +var logger = new LogTracer(); +var D = Array1D.random(15); +tracer._setData(D); diff --git a/algorithm/sorting/shell/desc.json b/algorithm/sorting/shell/desc.json new file mode 100644 index 00000000..8f9e6d39 --- /dev/null +++ b/algorithm/sorting/shell/desc.json @@ -0,0 +1,13 @@ +{ + "Shellsort": "Shellsort, also known as Shell sort or Shell's method, is an in-place comparison sort. It can be seen as either a generalization of sorting by exchange (bubble sort) or sorting by insertion (insertion sort). The method starts by sorting pairs of elements far apart from each other, then progressively reducing the gap between elements to be compared.", + "Complexity": { + "time": "best $O(n \\, log \\, n)$, average - depends on 'gap sequence'", + "space": "worst $O(n)$ total, $O(1)$ auxilliary" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Shellsort" + } +} diff --git a/algorithm/string/edit_distance/desc.json b/algorithm/string/edit_distance/desc.json new file mode 100644 index 00000000..ca957200 --- /dev/null +++ b/algorithm/string/edit_distance/desc.json @@ -0,0 +1,18 @@ +{ + "Edit-Distance": "Given two strings str1 (length M) and str2 (length N) and below operations that can performed on str1. Find minimum number of edits (operations) required to convert str1 into str2.
Insert
Remove
Replace
All of the above operations are of equal cost", + "Applications": [ + "Displaing Near-Proximity Words", + "Information Retrieval (eg- Lucene API)", + "Natural Language Processing" + ], + "Complexity": { + "time": "worst $O(|M| \\cdot |N|)$", + "space": "worst $O(|M| \\cdot |N|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "dynamic_programming": "Distance from str1 to str2 using Dynamic Programming (2D Array method)" + } +} diff --git a/algorithm/string/edit_distance/dynamic_programming/code.js b/algorithm/string/edit_distance/dynamic_programming/code.js new file mode 100644 index 00000000..1b3210db --- /dev/null +++ b/algorithm/string/edit_distance/dynamic_programming/code.js @@ -0,0 +1,41 @@ +logger._print('Initialized DP Table'); +logger._print('Y-Axis (Top to Bottom): ' + str1); +logger._print('X-Axis (Left to Right): ' + str2); + +var dist = (function editDistance(str1, str2, table) { + //display grid with words + logger._print('*** ' + str2.split('').join(' ')); + table.forEach(function (item, index) { + var character = (index === 0) ? '*' : str1 [index - 1]; + logger._print(character + '\t' + item); + }); + + //begin ED execution + for (var i = 1; i < str1.length + 1; i++) { + for (var j = 1; j < str2.length + 1; j++) { + if (str1[i - 1] === str2[j - 1]) { + tracer._select(i - 1, j - 1)._wait(); + table[i][j] = table[i - 1][j - 1]; + tracer._notify(i, j, table[i][j])._wait(); + tracer._denotify(i, j); + tracer._deselect(i - 1, j - 1); + } + else { + tracer._select(i - 1, j); + tracer._select(i, j - 1); + tracer._select(i - 1, j - 1)._wait(); + table[i][j] = Math.min(table [i - 1] [j], table [i] [j - 1], table [i - 1] [j - 1]) + 1; + tracer._notify(i, j, table[i][j])._wait(); + tracer._denotify(i, j); + tracer._deselect(i - 1, j); + tracer._deselect(i, j - 1); + tracer._deselect(i - 1, j - 1); + } + } + } + + tracer._select(str1.length, str2.length); + return table [str1.length] [str2.length]; +})(str1, str2, table); + +logger._print('Minimum Edit Distance: ' + dist); \ No newline at end of file diff --git a/algorithm/string/edit_distance/dynamic_programming/data.js b/algorithm/string/edit_distance/dynamic_programming/data.js new file mode 100644 index 00000000..358123d9 --- /dev/null +++ b/algorithm/string/edit_distance/dynamic_programming/data.js @@ -0,0 +1,11 @@ +var tracer = new Array2DTracer('Distance Table'); +var logger = new LogTracer(); +var str1 = 'stack', str2 = 'racket', table = new Array(str1.length + 1); + +table[0] = Array.apply(null, {length: str2.length + 1}).map(Number.call, Number); +for (var i = 1; i < str1.length + 1; i++) { + table[i] = Array.apply(null, Array(str2.length + 1)).map(Number.prototype.valueOf, -1); + table[i] [0] = i +} + +tracer._setData(table); diff --git a/algorithm/string/knuth_morris_pratt/desc.json b/algorithm/string/knuth_morris_pratt/desc.json new file mode 100644 index 00000000..c7c6a194 --- /dev/null +++ b/algorithm/string/knuth_morris_pratt/desc.json @@ -0,0 +1,16 @@ +{ + "Knuth-Morris-Pratt": "searches for occurrences of a substring W with length K within a main string S with Length N by employing the observation that when a mismatch occurs, the word itself embodies sufficient information to determine where the next match could begin, thus bypassing re-examination of previously matched characters", + "Applications": [ + "Substring Search" + ], + "Complexity": { + "time": "worst $O(|N|+|K|)$", + "space": "worst $O(|K|)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "substring_search": "Efficiently find is A is a substring of B (and A's position(s))" + } +} diff --git a/algorithm/string/knuth_morris_pratt/substring_search/code.js b/algorithm/string/knuth_morris_pratt/substring_search/code.js new file mode 100644 index 00000000..b8ec2797 --- /dev/null +++ b/algorithm/string/knuth_morris_pratt/substring_search/code.js @@ -0,0 +1,108 @@ +//Fix JS Negative number modulo Bug +Number.prototype.mod = function (n) { + return ((this%n)+n)%n; +}; + +function tracker (substring) { + var i = 1, j = 0; + + logger._print ('Initializing i to 1, j to 0.'); + substrTracer._select (j); + while (i < track.length) { + substrTracer._select (i)._wait (); + + while ( (substring [i] !== substring [j]) && (j > 0) ) { + logger._print ('j = ' + track [j-1]); + trackTracer._select (j-1)._wait (); + trackTracer._deselect (j-1)._wait (); + + substrTracer._deselect (j); + j = track [j-1]; + logger._print ('j = ' + j); + substrTracer._select (j); + } + + if (substring [i] === substring [j]) { + substrTracer._deselect (j); + track [i] = ++j; + trackTracer._notify (i, track [i])._wait (); + trackTracer._denotify (i)._wait (); + logger._print ('substring [ ' + i + ' ] (' + substring [i] + ') equals substring [ ' + j + ' ] (' + substring [j] + '), track [ ' + i + ' ] updated to: ' + track [i]); + + logger._print ('j = ' + j); + substrTracer._select (j); + } + else { + track [i] = 0; + logger._print ('substring [ ' + i + ' ] (' + substring [i] + ') is not equal to substring [ ' + j + ' ] (' + substring [j] + '), setting track [' + i + '] to 0'); + trackTracer._select (i)._wait (); + trackTracer._deselect (i)._wait (); + } + + substrTracer._deselect (i)._wait (); + i++; + logger._print ('i = ' + i); + } + + return track; +} + +function kmp (string, substr) { + var positions = [], j = 0, startPos; + + logger._print ('Constructing Tracker for substring ' + substr + ''); + track = tracker (substr); + logger._print ('Tracker for substring constructed: [ ' + String (track) + ' ]'); + logger._print ('--------------------------------------------------------------------------'); + logger._print ('Running KMP...'); + + logger._print ('Initializing i = 0, j = 0'); + for (var i = 0; i < string.length; i++) { + logger._print ('comparing string [' + i + '] (' + string [i] + ') and substring [' + j + '] (' + substr [j] + ')...'); + stringTracer._select (i)._wait (); + stringTracer._select (j)._wait (); + + if (string [i] === substr [j]) { + logger._print ('they\'re equal!'); + + if (j === substr.length-1) { + logger._print ('j (' + j + ') equals length of substring - 1 (' + substr.length + '-1), we\'ve found a new match in the string!'); + startPos = i - substr.length + 1; + positions.push (startPos); + + logger._print ('Adding start position of the substring (' + startPos + ') to the results.'); + stringTracer._select (startPos)._wait (); + } + else { + stringTracer._deselect (j)._wait (); + logger._print ('But j (' + j + ') does not equal length of substring (' + substr.length + ') Incrementing j and moving forward.'); + j++; + logger._print ('j = ' + j); + stringTracer._select (j)._wait (); + } + } + else { + var tempJ = j - 1; + logger._print ('they\'re NOT equal'); + trackTracer._select (tempJ)._wait (); + stringTracer._deselect (j)._wait (); + + j = track [(j-1).mod (substr.length)]; //use modulo to wrap around, i.e., if index = -1, access the LAST element of array (PYTHON-LIKE) + + logger._print ('Setting j to ' + j); + stringTracer._select (j)._wait (); + trackTracer._deselect (tempJ)._wait (); + } + + stringTracer._deselect (i)._wait (); + } + + return positions; +} + +var positions = kmp (string, substring); + +logger._print ('Substring positions are: ' + (positions.length ? String (positions) : 'NONE')); +for (var i = 0; i < positions.length; i++) { + stringTracer._select (positions [i], positions [i] + substring.length - 1)._wait (); +} diff --git a/algorithm/string/knuth_morris_pratt/substring_search/data.js b/algorithm/string/knuth_morris_pratt/substring_search/data.js new file mode 100644 index 00000000..0c58f7cc --- /dev/null +++ b/algorithm/string/knuth_morris_pratt/substring_search/data.js @@ -0,0 +1,23 @@ +function randString(length) { + var result = Math.random().toString(36); + return result.substring(result.length - length); +} + +var string = randString(15); + +var startIndex = Math.floor(Math.random() * 10); // Random start index from 0 to 9 +var substring = string.substr(startIndex, 5); // Substring of `string` of length 5 + +//var string = 'abcxabcdabxabcdabcdabxabcda', substring = 'xabcda'; +//var string = 'abcxabcdabxabcdabcdabcyiuhsiuhduiahdubhbuuabcdabcysbhbh', substring = 'abcdabcy'; + +var track = Array.apply(null, Array(substring.length)).map(Number.prototype.valueOf, 0); + +var trackTracer = new Array1DTracer('Tracker'), + substrTracer = new Array1DTracer('Substring'), + stringTracer = new Array1DTracer('Major String'); +var logger = new LogTracer(); + +trackTracer._setData(track); +substrTracer._setData(substring); +stringTracer._setData(string); diff --git a/algorithm/string/rabin_karp_algorithm/basic/code.js b/algorithm/string/rabin_karp_algorithm/basic/code.js new file mode 100644 index 00000000..f1ccced5 --- /dev/null +++ b/algorithm/string/rabin_karp_algorithm/basic/code.js @@ -0,0 +1,57 @@ +var N = text.length; +var M = pattern.length; + +var hashText = 0; //hash value for text +var hashPattern = 0; //hash value for pattern +var h = 1; + +for ( var i = 0; i < (M - 1); i++ ) { + h = ( h * D ) % Q; +} + +for ( var i = 0; i < M; i++ ) { + hashPattern = ( D * hashPattern + pattern[i].charCodeAt(0)) % Q; + hashText = ( D * hashText + text[i].charCodeAt(0)) % Q; +} + +for ( var i = 0 ; i <= N-M; i++ ) { + + /* + Check if hash values of current window of text matches + with hash values of pattern. If match is found then + check for characters one by one + */ + if ( hashPattern === hashText ) { + var f = 0; + tracer1._select( i, i + M )._wait(); + tracer2._select( 0, M - 1 )._wait(); + for( var j = 0; j < M; j++ ) { + + tracer1._notify( i + j )._wait(); + tracer2._notify( j )._wait(); + if ( text[i + j] != pattern[j] ) { + f++; + } + tracer1._denotify( i + j ); + tracer2._denotify( j ); + } + + if( f === 0 ) { + logger._print( ' Pattern found at index ' + i ); + } + tracer1._deselect( i, i + M ); + tracer2._deselect( 0, M - 1 ); + } + + /* + Calculate hash value for next window of text : + */ + if ( i < N-M ) { + hashText = ( D * ( hashText - text[i].charCodeAt(0)*h ) + text[ i + M ].charCodeAt(0) ) % Q; + + // Convert negative value of hashText (if found) to positive + if ( hashText < 0 ) { + hashText = hashText + Q; + } + } +} \ No newline at end of file diff --git a/algorithm/string/rabin_karp_algorithm/basic/data.js b/algorithm/string/rabin_karp_algorithm/basic/data.js new file mode 100644 index 00000000..40da1534 --- /dev/null +++ b/algorithm/string/rabin_karp_algorithm/basic/data.js @@ -0,0 +1,9 @@ +var text = ['h','e','l','l','o',' ','s','i','r',' ','h','e','l','l','o']; +var pattern = ['h','e','l','l','o']; + +var Q = 101; // A prime number +var D = 256; // number of characters in the input alphabet + +var logger = new LogTracer(); +var tracer1 = new Array1DTracer('Text')._setData(text); +var tracer2 = new Array1DTracer('Pattern')._setData(pattern); diff --git a/algorithm/string/rabin_karp_algorithm/desc.json b/algorithm/string/rabin_karp_algorithm/desc.json new file mode 100644 index 00000000..404b3a65 --- /dev/null +++ b/algorithm/string/rabin_karp_algorithm/desc.json @@ -0,0 +1,16 @@ +{ + "Rabin–Karp Algorithm": "Rabin–Karp algorithm or Karp–Rabin algorithm is a string searching algorithm created by Richard M. Karp and Michael O. Rabin (1987) that uses hashing to find any one of a set of pattern strings in a text.", + "Applications": [ + "Substring Search" + ], + "Complexity": { + "time": " $O(N)$ : If a sufficiently large prime number is used for the hash function. $O(M\\cdot N)$ : Worst Case ", + "space": "$O( 1 )$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "basic": "Rabin-Karp Algorithm" + } +} diff --git a/algorithm/string/suffix_array/construction_naive/code.js b/algorithm/string/suffix_array/construction_naive/code.js new file mode 100644 index 00000000..45bd4703 --- /dev/null +++ b/algorithm/string/suffix_array/construction_naive/code.js @@ -0,0 +1,42 @@ +word += '$'; //special character +logger._print ('Appended \'$\' at the end of word as terminating (special) character. Beginning filling of suffixes'); + +function selectSuffix (word, i) { + var c = i; + + while (i < word.length-1) { + wordTracer._select (i); + i++; + } + wordTracer._wait (); + + while (c < word.length-1) { + wordTracer._deselect (c); + c++; + } + wordTracer._wait (); +} + +(function createSA (sa, word) { + for (var i = 0; i < word.length; i++) { + sa [i] [1] = word.slice (i); + + selectSuffix (word, i); + saTracer._notify (i, 1, sa [i] [1])._wait (); + saTracer._denotify (i, 1)._wait (); + } +}) (suffixArray, word); + +logger._print ('Re-organizing Suffix Array in sorted order of suffixes using efficient sorting algorithm (O(N.log(N)))'); +suffixArray.sort (function (a, b) { + logger._print ('The condition a [1] (' + a [1] + ') > b [1] (' + b [1] + ') is ' + (a [1] > b [1])); + return a [1] > b [1]; +}); + +for (var i = 0; i < word.length; i++) { + saTracer._notify (i, 0, suffixArray [i] [0]); + saTracer._notify (i, 1, suffixArray [i] [1])._wait (); + + saTracer._denotify (i, 0); + saTracer._denotify (i, 1); +} \ No newline at end of file diff --git a/algorithm/string/suffix_array/construction_naive/data.js b/algorithm/string/suffix_array/construction_naive/data.js new file mode 100644 index 00000000..1f3a62c7 --- /dev/null +++ b/algorithm/string/suffix_array/construction_naive/data.js @@ -0,0 +1,17 @@ +var word = 'virgo'; +var suffixArray = (function skeleton (word) { + var arr = []; + + for (var i = 1; i <= word.length+1; i++) { + arr.push ([i, '-']); + } + + return arr; +}) (word); + +var saTracer = new Array2DTracer ('Suffix Array'), + wordTracer = new Array1DTracer ('Given Word'), + logger = new LogTracer ('Progress'); + +saTracer._setData (suffixArray); +wordTracer._setData (word); \ No newline at end of file diff --git a/algorithm/string/suffix_array/desc.json b/algorithm/string/suffix_array/desc.json new file mode 100644 index 00000000..3d682186 --- /dev/null +++ b/algorithm/string/suffix_array/desc.json @@ -0,0 +1,18 @@ +{ + "Suffix Array": "a suffix array is just a sorted array of all the suffixes of a given string. The main algorithms include (efficient & inefficient) construction of Suffix Array and how we can use it for substring search & other purposes", + "Applications": [ + "Substring Search", + "Bioinformatics", + "Data Compression" + ], + "Complexity": { + "time": " $O(N^2 \\cdot log(N))$ for Naive construction", + "space": "$O(N^2)$" + }, + "References": [ + "Codechef" + ], + "files": { + "construction_naive": "Suffix Array inefficient construction" + } +} diff --git a/algorithm/string/z_algorithm/desc.json b/algorithm/string/z_algorithm/desc.json new file mode 100644 index 00000000..bc08088c --- /dev/null +++ b/algorithm/string/z_algorithm/desc.json @@ -0,0 +1,16 @@ +{ + "Z Algorithm": "Finding all the occurances of a pattern (length = M) in a text (length = N) in linear time", + "Applications": [ + "Substring Search" + ], + "Complexity": { + "time": "worst $O(|M|+|N|)$", + "space": "worst $O(|M|+|N|)$" + }, + "References": [ + "GeeksForGeeks" + ], + "files": { + "pattern_search": "Find the occurances and position of a pattern in a text" + } +} diff --git a/algorithm/string/z_algorithm/pattern_search/code.js b/algorithm/string/z_algorithm/pattern_search/code.js new file mode 100644 index 00000000..6feaf019 --- /dev/null +++ b/algorithm/string/z_algorithm/pattern_search/code.js @@ -0,0 +1,79 @@ +function createZarr(concat) { + var i,left,right,k,N; + N=concat.length; + left=0; + right=0; + for(i=1;iright) { + left=right=i; + while(right root) { + propName = 'right'; + } + if(propName !== '') { + if ( !treeNode.hasOwnProperty(propName) ) { // insert as left child of root + treeNode[propName] = element; + T[element] = {}; + tracer._addNode(element, root)._wait(); + logger._print( element + ' Inserted '); + } else { + bst_insert ( treeNode[propName], element, root ); + } + } +} + +var Root = elements[0]; // take first element as root +T[Root] = {}; +tracer._addRoot(Root); +logger._print ( Root + ' Inserted as root of tree '); + +for (var i = 1; i < elements.length; i++) { + tracer2._select ( i )._wait(); + bst_insert ( Root, elements[i] ); // insert ith element + tracer2._deselect( i )._wait(); + tracer._clearTraversal(); +} diff --git a/algorithm/tree/binary_search_tree/bst_insert/data.js b/algorithm/tree/binary_search_tree/bst_insert/data.js new file mode 100644 index 00000000..f7f3e256 --- /dev/null +++ b/algorithm/tree/binary_search_tree/bst_insert/data.js @@ -0,0 +1,7 @@ +var T = {}; + +var elements = [5,8,10,3,1,6,9,7,2,0,4]; // item to be searched +var tracer = new DirectedGraphConstructTracer( " BST - Elements marked red indicates the current status of tree ", 0); +var tracer2 = new Array1DTracer ( " Elements ")._setData ( elements ); +var logger = new LogTracer ( " Log "); +tracer.attach ( logger ); \ No newline at end of file diff --git a/algorithm/tree/binary_search_tree/bst_search/code.js b/algorithm/tree/binary_search_tree/bst_search/code.js new file mode 100644 index 00000000..40f89553 --- /dev/null +++ b/algorithm/tree/binary_search_tree/bst_search/code.js @@ -0,0 +1,21 @@ +function bst(item, node, parent) { // node = current node , parent = previous node + tracer._visit(node, parent)._wait(); + if (item === node) { // key found + logger._print(' Match Found '); + } else if (item < node) { // key less than value of current node + if (T[node][0] === -1) { + logger._print(' Not Found '); + } else { + bst(item, T[node][0], node); + } + } else { // key greater than value of current node + if (T[node][1] === -1) { + logger._print(' Not Found '); + } else { + bst(item, T[node][1], node); + } + } +} + +logger._print('Finding number ' + key); +bst(key, 5); // node with key 5 is the root \ No newline at end of file diff --git a/algorithm/tree/binary_search_tree/bst_search/data.js b/algorithm/tree/binary_search_tree/bst_search/data.js new file mode 100644 index 00000000..c45c382b --- /dev/null +++ b/algorithm/tree/binary_search_tree/bst_search/data.js @@ -0,0 +1,33 @@ +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] +]; + + +var T = [ // mapping to G as a binary tree , [i][0] indicates left child, [i][1] indicates right child + [-1, -1], + [0, 2], + [-1, -1], + [1, 4], + [-1, -1], + [3, 8], + [-1, 7], + [-1, -1], + [6, 10], + [-1, -1], + [9, -1] +]; + +var key = Integer.random(0, G.length - 1); // item to be searched +var tracer = new DirectedGraphTracer(" Binary Search Tree ")._setTreeData(G, 5); +var logger = new LogTracer(" Log "); +tracer.attach(logger); \ No newline at end of file diff --git a/algorithm/tree/binary_search_tree/desc.json b/algorithm/tree/binary_search_tree/desc.json new file mode 100644 index 00000000..cd9e5b97 --- /dev/null +++ b/algorithm/tree/binary_search_tree/desc.json @@ -0,0 +1,17 @@ +{ + "Binary Search Tree": "Binary search trees (BST), sometimes called ordered or sorted binary trees, are a particular type of containers: data structures that store \"items\" (such as numbers, names etc.) in memory. They allow fast lookup, addition and removal of items, and can be used to implement either dynamic sets of items, or lookup tables that allow finding an item by its key (e.g., finding the phone number of a person by name).", + "Applications": [ + "Search applications where data is constantly entering/leaving such as map and set objects in many languages' library." + ], + "Complexity": { + "time": " Best : $O(1)$ Average : $O(logN)$ Worst : $O(N)$ ", + "space": "$O(n)$" + }, + "References": [ + "Wikipedia" + ], + "files": { + "bst_search": "Search in Binary Search Tree", + "bst_insert": "Insert in Binary Search Tree" + } +} diff --git a/algorithm/tree/binary_tree_traversal/desc.json b/algorithm/tree/binary_tree_traversal/desc.json new file mode 100644 index 00000000..6a8e0ea6 --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/desc.json @@ -0,0 +1,22 @@ +{ + "Binary Tree Traversal": "In computer science, tree traversal (also known as tree search) is a form of graph traversal and refers to the process of visiting (checking and/or updating) each node in a tree data structure, exactly once. Such traversals are classified by the order in which the nodes are visited.", + "Applications": [ + "Pre-order traversal while duplicating nodes and edges can make a complete duplicate of a binary tree.", + "Pre-order traversal can also be used to make a prefix expression (Polish notation) from expression trees: traverse the expression tree pre-orderly.", + "In-order traversal is very commonly used on binary search trees because it returns values from the underlying set in order, according to the comparator that set up the binary search tree (hence the name).", + "Post-order traversal while deleting or freeing nodes and values can delete or free an entire binary tree.", + "Post-order traversal can also generate a postfix representation of a binary tree." + ], + "Complexity": { + "time": "Best : $O(N)$ Average : $O(N)$ Worst : $O(N)$", + "space": "Worst: $O(N)$ (recursive), Best: $O(1)$ (iterative)" + }, + "References": [ + "Wikipedia" + ], + "files": { + "in_order": "Traverse Binary Tree In-order", + "post_order": "Traverse Binary Tree Post-order", + "pre_order": "Traverse Binary Tree Pre-order" + } +} diff --git a/algorithm/tree/binary_tree_traversal/in_order/code.js b/algorithm/tree/binary_tree_traversal/in_order/code.js new file mode 100644 index 00000000..33d54ea4 --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/in_order/code.js @@ -0,0 +1,24 @@ +var index = 0; + +function inorder ( root , parent ) { + if (root === -1) { + logger._print( 'No more nodes. Backtracking.' )._wait (); + return; + } + + logger._print( 'Reached ' + root); + treeTracer._visit ( root , parent )._wait (); + + logger._print ( ' Going left from ' + root )._wait (); + inorder(T[root][0], root); + + logger._print( 'Printing ' + root); + treeTracer._leave ( root ); + arrayTracer._notify ( index++, root )._wait(); + + logger._print ( ' Going right from ' + root )._wait (); + inorder(T[root][1], root); +} + +inorder ( 5 ); // node with key 5 is the root +logger._print( 'Finished' ); diff --git a/algorithm/tree/binary_tree_traversal/in_order/data.js b/algorithm/tree/binary_tree_traversal/in_order/data.js new file mode 100644 index 00000000..30fa8eb3 --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/in_order/data.js @@ -0,0 +1,32 @@ +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] +]; + + +var T = [ // mapping to G as a binary tree , [i][0] indicates left child, [i][1] indicates right child + [-1,-1], + [ 0, 2], + [-1,-1], + [ 1, 4], + [-1,-1], + [ 3, 8], + [-1, 7], + [-1,-1], + [ 6,10], + [-1,-1], + [ 9,-1] +]; + +var treeTracer = new DirectedGraphTracer( " Traversal In-order ")._setTreeData ( G, 5 ); +var arrayTracer = new Array1DTracer( " Print In-order ")._setData ( new Array(T.length).fill( '-' ) ); +var logger = new LogTracer ( " Log "); diff --git a/algorithm/tree/binary_tree_traversal/post_order/code.js b/algorithm/tree/binary_tree_traversal/post_order/code.js new file mode 100644 index 00000000..3001b380 --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/post_order/code.js @@ -0,0 +1,24 @@ +var index = 0; + +function inorder ( root , parent ) { + if (root === -1) { + logger._print( 'No more nodes. Backtracking.' )._wait (); + return; + } + + logger._print( 'Reached ' + root); + treeTracer._visit ( root , parent )._wait (); + + logger._print ( ' Going left from ' + root )._wait (); + inorder(T[root][0], root); + + logger._print ( ' Going right from ' + root )._wait (); + inorder(T[root][1], root); + + logger._print( 'Printing ' + root); + treeTracer._leave ( root ); + arrayTracer._notify ( index++, root )._wait(); +} + +inorder ( 5 ); // node with key 5 is the root +logger._print( 'Finished' ); diff --git a/algorithm/tree/binary_tree_traversal/post_order/data.js b/algorithm/tree/binary_tree_traversal/post_order/data.js new file mode 100644 index 00000000..05910b62 --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/post_order/data.js @@ -0,0 +1,32 @@ +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] +]; + + +var T = [ // mapping to G as a binary tree , [i][0] indicates left child, [i][1] indicates right child + [-1,-1], + [ 0, 2], + [-1,-1], + [ 1, 4], + [-1,-1], + [ 3, 8], + [-1, 7], + [-1,-1], + [ 6,10], + [-1,-1], + [ 9,-1] +]; + +var treeTracer = new DirectedGraphTracer( " Traversal Post-order ")._setTreeData ( G, 5 ); +var arrayTracer = new Array1DTracer( " Print Post-order ")._setData ( new Array(T.length).fill( '-' ) ); +var logger = new LogTracer ( " Log "); diff --git a/algorithm/tree/binary_tree_traversal/pre_order/code.js b/algorithm/tree/binary_tree_traversal/pre_order/code.js new file mode 100644 index 00000000..34b2313c --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/pre_order/code.js @@ -0,0 +1,24 @@ +var index = 0; + +function inorder ( root , parent ) { + if (root === -1) { + logger._print( 'No more nodes. Backtracking.' )._wait (); + return; + } + + logger._print( 'Reached ' + root); + treeTracer._visit ( root , parent )._wait (); + + logger._print( 'Printing ' + root); + treeTracer._leave ( root ); + arrayTracer._notify ( index++, root )._wait(); + + logger._print ( ' Going left from ' + root )._wait (); + inorder(T[root][0], root); + + logger._print ( ' Going right from ' + root )._wait (); + inorder(T[root][1], root); +} + +inorder ( 5 ); // node with key 5 is the root +logger._print( 'Finished' ); diff --git a/algorithm/tree/binary_tree_traversal/pre_order/data.js b/algorithm/tree/binary_tree_traversal/pre_order/data.js new file mode 100644 index 00000000..5f232579 --- /dev/null +++ b/algorithm/tree/binary_tree_traversal/pre_order/data.js @@ -0,0 +1,32 @@ +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] +]; + + +var T = [ // mapping to G as a binary tree , [i][0] indicates left child, [i][1] indicates right child + [-1,-1], + [ 0, 2], + [-1,-1], + [ 1, 4], + [-1,-1], + [ 3, 8], + [-1, 7], + [-1,-1], + [ 6,10], + [-1,-1], + [ 9,-1] +]; + +var treeTracer = new DirectedGraphTracer( " Traversal Pre-order ")._setTreeData ( G, 5 ); +var arrayTracer = new Array1DTracer( " Print Pre-order ")._setData ( new Array(T.length).fill( '-' ) ); +var logger = new LogTracer ( " Log "); diff --git a/algorithm/tree/lowest_common_ancestor/binary_tree/code.js b/algorithm/tree/lowest_common_ancestor/binary_tree/code.js new file mode 100644 index 00000000..0b4f0c03 --- /dev/null +++ b/algorithm/tree/lowest_common_ancestor/binary_tree/code.js @@ -0,0 +1,25 @@ +function lcaBT (parent, root, a, b) { + logger._print ('Beginning new Iteration of lcaBT () with parent: ' + parent + ', current root: ' + root); + if (root === -1) { + logger._print ('Reached end of path & target node(s) not found') + return null; + } + + if (parent !== null) treeTracer._visit (root, parent)._wait (); + else treeTracer._visit (root)._wait (); + + if (root === a || root === b) return root; + + var left = lcaBT (root, T [root] [0], a, b); + var right = lcaBT (root, T [root] [1], a, b); + + if (left !== null && right !== null) return root; + if (left === null && right === null) { + treeTracer._leave (root, parent)._wait (); + } + + return (left !== null ? left : right); +} + +var a = 7, b = 2; +logger._print ('Lowest common ancestor of ' + a + ' & ' + b + ' is: ' + lcaBT (null, 5, a, b)); \ No newline at end of file diff --git a/algorithm/tree/lowest_common_ancestor/binary_tree/data.js b/algorithm/tree/lowest_common_ancestor/binary_tree/data.js new file mode 100644 index 00000000..c1a9b4ae --- /dev/null +++ b/algorithm/tree/lowest_common_ancestor/binary_tree/data.js @@ -0,0 +1,31 @@ +var G = [ // G[i][j] indicates whether the path from the i-th node to the j-th node exists or not + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0], + [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], + [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0] +]; + + +var T = [ // mapping to G as a binary tree , [i][0] indicates left child, [i][1] indicates right child + [-1,-1], + [-1, 7], + [-1,-1], + [ 6, 1], + [-1,-1], + [ 3, 8], + [ 0, 2], + [-1,-1], + [10, 4], + [-1,-1], + [ 9,-1] +]; + +var treeTracer = new DirectedGraphTracer( " Traversal Pre-order ")._setTreeData ( G, 5 ); +var logger = new LogTracer ( " Log "); \ No newline at end of file diff --git a/algorithm/tree/lowest_common_ancestor/desc.json b/algorithm/tree/lowest_common_ancestor/desc.json new file mode 100644 index 00000000..e0454e83 --- /dev/null +++ b/algorithm/tree/lowest_common_ancestor/desc.json @@ -0,0 +1,15 @@ +{ + "Binary Tree Traversal": "The LCA of n1 and n2 in T is the shared ancestor of n1 and n2 that is located farthest from the root.", + "Applications": [ + ], + "Complexity": { + "time": "Worst: $O(N)$", + "space": "Worst: $O(1)$" + }, + "References": [ + "GeeksForGeeks" + ], + "files": { + "binary_tree": "LCA in a Binary Tree" + } +} diff --git a/branding/icon.png b/branding/icon.png deleted file mode 100755 index ecf612ee..00000000 Binary files a/branding/icon.png and /dev/null differ diff --git a/branding/icon.psd b/branding/icon.psd deleted file mode 100755 index b9dc892e..00000000 Binary files a/branding/icon.psd and /dev/null differ diff 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nt:"\f083"}.fa-key:before{content:"\f084"}.fa-gears:before,.fa-cogs:before{content:"\f085"}.fa-comments:before{content:"\f086"}.fa-thumbs-o-up:before{content:"\f087"}.fa-thumbs-o-down:before{content:"\f088"}.fa-star-half:before{content:"\f089"}.fa-heart-o:before{content:"\f08a"}.fa-sign-out:before{content:"\f08b"}.fa-linkedin-square:before{content:"\f08c"}.fa-thumb-tack:before{content:"\f08d"}.fa-external-link:before{content:"\f08e"}.fa-sign-in:before{content:"\f090"}.fa-trophy:before{content:"\f091"}.fa-github-square:before{content:"\f092"}.fa-upload:before{content:"\f093"}.fa-lemon-o:before{content:"\f094"}.fa-phone:before{content:"\f095"}.fa-square-o:before{content:"\f096"}.fa-bookmark-o:before{content:"\f097"}.fa-phone-square:before{content:"\f098"}.fa-twitter:before{content:"\f099"}.fa-facebook-f:before,.fa-facebook:before{content:"\f09a"}.fa-github:before{content:"\f09b"}.fa-unlock:before{content:"\f09c"}.fa-credit-card:before{content:"\f09d"}.fa-feed:before,.fa-rss:before{content:"\f09e"}.fa-hdd-o:before{content:"\f0a0"}.fa-bullhorn:before{content:"\f0a1"}.fa-bell:before{content:"\f0f3"}.fa-certificate:before{content:"\f0a3"}.fa-hand-o-right:before{content:"\f0a4"}.fa-hand-o-left:before{content:"\f0a5"}.fa-hand-o-up:before{content:"\f0a6"}.fa-hand-o-down:before{content:"\f0a7"}.fa-arrow-circle-left:before{content:"\f0a8"}.fa-arrow-circle-right:before{content:"\f0a9"}.fa-arrow-circle-up:before{content:"\f0aa"}.fa-arrow-circle-down:before{content:"\f0ab"}.fa-globe:before{content:"\f0ac"}.fa-wrench:before{content:"\f0ad"}.fa-tasks:before{content:"\f0ae"}.fa-filter:before{content:"\f0b0"}.fa-briefcase:before{content:"\f0b1"}.fa-arrows-alt:before{content:"\f0b2"}.fa-group:before,.fa-users:before{content:"\f0c0"}.fa-chain:before,.fa-link:before{content:"\f0c1"}.fa-cloud:before{content:"\f0c2"}.fa-flask:before{content:"\f0c3"}.fa-cut:before,.fa-scissors:before{content:"\f0c4"}.fa-copy:before,.fa-files-o:before{content:"\f0c5"}.fa-paperclip:before{content:"\f0c6"}.fa-save:before,.fa-floppy-o:before{content:"\f0c7"}.fa-square:before{content:"\f0c8"}.fa-navicon:before,.fa-reorder:before,.fa-bars:before{content:"\f0c9"}.fa-list-ul:before{content:"\f0ca"}.fa-list-ol:before{content:"\f0cb"}.fa-strikethrough:before{content:"\f0cc"}.fa-underline:before{content:"\f0cd"}.fa-table:before{content:"\f0ce"}.fa-magic:before{content:"\f0d0"}.fa-truck:before{content:"\f0d1"}.fa-pinterest:before{content:"\f0d2"}.fa-pinterest-square:before{content:"\f0d3"}.fa-google-plus-square:before{content:"\f0d4"}.fa-google-plus:before{content:"\f0d5"}.fa-money:before{content:"\f0d6"}.fa-caret-down:before{content:"\f0d7"}.fa-caret-up:before{content:"\f0d8"}.fa-caret-left:before{content:"\f0d9"}.fa-caret-right:before{content:"\f0da"}.fa-columns:before{content:"\f0db"}.fa-unsorted:before,.fa-sort:before{content:"\f0dc"}.fa-sort-down:before,.fa-sort-desc:before{content:"\f0dd"}.fa-sort-up:before,.fa-sort-asc:before{content:"\f0de"}.fa-envelope:before{content:"\f0e0"}.fa-linkedin:before{content:"\f0e1"}.fa-rotate-left:before,.fa-undo:before{content:"\f0e2"}.fa-legal:before,.fa-gavel:before{content:"\f0e3"}.fa-dashboard:before,.fa-tachometer:before{content:"\f0e4"}.fa-comment-o:before{content:"\f0e5"}.fa-comments-o:before{content:"\f0e6"}.fa-flash:before,.fa-bolt:before{content:"\f0e7"}.fa-sitemap:before{content:"\f0e8"}.fa-umbrella:before{content:"\f0e9"}.fa-paste:before,.fa-clipboard:before{content:"\f0ea"}.fa-lightbulb-o:before{content:"\f0eb"}.fa-exchange:before{content:"\f0ec"}.fa-cloud-download:before{content:"\f0ed"}.fa-cloud-upload:before{content:"\f0ee"}.fa-user-md:before{content:"\f0f0"}.fa-stethoscope:before{content:"\f0f1"}.fa-suitcase:before{content:"\f0f2"}.fa-bell-o:before{content:"\f0a2"}.fa-coffee:before{content:"\f0f4"}.fa-cutlery:before{content:"\f0f5"}.fa-file-text-o:before{content:"\f0f6"}.fa-building-o:before{content:"\f0f7"}.fa-hospital-o:before{content:"\f0f8"}.fa-ambulance:before{content:"\f0f9"}.fa-medkit:before{content:"\f0fa"}.fa-fighter-jet:before{content:"\f0fb"}.fa-beer:before{content:"\f0fc"}.fa-h-square:before{content:"\f0fd"}.fa-plus-square:before{content:"\f0fe"}.fa-angle-double-left:before{content:"\f100"}.fa-angle-double-right:before{content:"\f101"}.fa-angle-double-up:before{content:"\f102"}.fa-angle-double-down:before{content:"\f103"}.fa-angle-left:before{content:"\f104"}.fa-angle-right:before{content:"\f105"}.fa-angle-up:before{content:"\f106"}.fa-angle-down:before{content:"\f107"}.fa-desktop:before{content:"\f108"}.fa-laptop:before{content:"\f109"}.fa-tablet:before{content:"\f10a"}.fa-mobile-phone:before,.fa-mobile:before{content:"\f10b"}.fa-circle-o:before{content:"\f10c"}.fa-quote-left:before{content:"\f10d"}.fa-quote-right:before{content:"\f10e"}.fa-spinner:before{content:"\f110"}.fa-circle:before{content:"\f111"}.fa-mail-reply:before,.fa-reply:before{content:"\f112"}.fa-github-alt:before{content:"\f113"}.fa-folder-o:before{content:"\f114"}.fa-folder-open-o:before{content:"\f115"}.fa-smile-o:before{c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+.github-fork-ribbon.left-top:before, .github-fork-ribbon.left-top:after, .github-fork-ribbon.left-bottom:before, .github-fork-ribbon.left-bottom:after { + right: auto; + left: -3.23em; +} + +.github-fork-ribbon.left-bottom:before, .github-fork-ribbon.left-bottom:after, .github-fork-ribbon.right-bottom:before, .github-fork-ribbon.right-bottom:after { + top: auto; + bottom: 3.23em; +} + +.github-fork-ribbon.left-top:before, .github-fork-ribbon.left-top:after, .github-fork-ribbon.right-bottom:before, .github-fork-ribbon.right-bottom:after { + -webkit-transform: rotate(-45deg); + -moz-transform: rotate(-45deg); + -ms-transform: rotate(-45deg); + -o-transform: rotate(-45deg); + transform: rotate(-45deg); +} \ No newline at end of file diff --git a/css/stylesheet.css b/css/stylesheet.css new file mode 100644 index 00000000..d60af625 --- /dev/null +++ b/css/stylesheet.css @@ -0,0 +1,731 @@ +html, +body { + margin: 0; + padding: 0; + overflow: hidden; + position: absolute; + top: 0; + left: 0; + width: 100%; + height: 100%; + background: rgb(63, 63, 63); +} + +body { + font-family: 'Roboto', sans-serif; + color: rgb(187, 187, 187); + -webkit-font-smoothing: subpixel-antialiased; +} + +*::-webkit-scrollbar { + display: none; +} + +a { + text-decoration: none; +} + +* { + color: inherit; +} + +*:not(input) { + -webkit-touch-callout: none; + user-select: none; +} + +.btn { + display: inline-table; +} + +.btn > .wrapper { + display: table-cell; + vertical-align: middle; +} + +.btn, +button { + cursor: pointer; + vertical-align: top; + border: none; + height: 100%; + padding: 0 12px; + margin: 0; + background: none; + font-size: 12px; + outline: none; + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; + background: rgb(63, 63, 63); +} + +.btn:hover, +button:hover { + background: rgba(0, 0, 0, .15); +} + +.btn.active, +button.active { + background: rgb(36, 36, 36); +} + +.btn.active:hover, +button.active:hover { + background: rgba(36, 36, 36); + color: rgba(187, 187, 187, .8); +} + +button[disabled] { + background: rgb(63, 63, 63); + cursor: not-allowed; + opacity: 0.6; +} + +.btn input, +button input { + outline: none; + background: rgba(0, 0, 0, .3); + padding: 4px; + border: none; +} + +.tab_button{ + border-bottom: 1px solid #505050; +} + +.divider { + position: absolute !important; + z-index: 3; +} + +.divider.vertical { + cursor: ew-resize; +} + +.divider.horizontal { + cursor: ns-resize; +} + +nav { + height: 30px; + width: 100%; + padding: 0 16px; +} + +nav > * { + height: 28px; +} + +nav h3 { + display: inline; +} + +.nav-arrow { + padding: 0 4px; +} + +#navigation span:empty + .nav-arrow { + display: none; +} + +.top-menu-buttons { + position: absolute; + top: 0; + right: 0; + padding: 0 16px; +} + +#shared { + width: 128px; +} + +#shared.collapse { + display: none; +} + +#interval { + width: 24px; + text-align: right; +} + +.sidemenu, +.workspace { + top: 30px; +} + +.sidemenu { + right: 85%; + visibility: hidden; + overflow: scroll; + padding-bottom: 120px; +} + +.sidemenu.active { + visibility: visible; +} + +.sidemenu #footer { + border-top: 2px solid rgb(38, 38, 38); +} + +.sidemenu button { + display: block; + width: 100%; + height: 30px; + text-align: left; + background: rgba(0, 0, 0, .15); +} + +.sidemenu button:hover { + background: rgb(63, 63, 63); +} + +.sidemenu button.active { + background: rgb(38, 38, 38); +} + +.sidemenu button.active:hover { + background: rgb(38, 38, 38); +} + +.sidemenu button.indent { + padding-left: 28px; +} + +.sidemenu .algorithms, +#powered-by-list { + display: none; + padding: 3px 2px; + box-shadow: inset 0 2px 2px rgba(0, 0, 0, 0.48), inset 0 -2px 2px rgba(0, 0, 0, 0.36); +} + +.search_bar_container { + background: rgba(0, 0, 0, .10); + border-bottom: 2px solid rgb(38, 38, 38); + height: 30px; + color: rgb(187, 187, 187); + font-size: 12px; + padding: 0 8px 0 8px; +} + +.search_bar_container > .fa { + position: absolute; + line-height: 30px; +} + +#search-bar { + box-sizing: border-box; + padding-left: 16px; + background: none; + border: none; + width: 100%; + height: 100%; + outline: none; + overflow: hidden; +} + +.workspace { + position: absolute; + bottom: 0; + left: 15%; + right: 0; +} + +nav, +section, +.sandbox_container, +.viewer_container, +.editor_container { + position: absolute; + top: 0; + bottom: 0; + left: 0; + right: 0; +} + +nav, +section { + border: 1px solid rgb(38, 38, 38); + box-sizing: border-box; +} + +.viewer_container { + right: 50%; +} + +.sandbox_container{ + left: 50%; + z-index: 100; +} + +.editor_container { + left: 50%; +} + +.module_container { + overflow: hidden; + border: none; +} + +.hide{ + display: none; +} + +.tab_container { + top: 30px; + background: #242424; + border: 1px solid #505050; + border-top: none; +} + +.tab { + position: absolute; + width: 100%; + height: 100%; + visibility: hidden; + overflow: scroll; +} + +.tab > .wrapper { + padding: 16px; + box-sizing: border-box; +} + +.tab.active { + visibility: visible; +} + +.module_wrapper { + overflow: scroll; + font-family: monospace; + border: none; + border-bottom: 1px solid #505050; +} + +.module_wrapper .name { + position: fixed; + z-index: 5; + padding: 4px; + font-size: 14px; + background: rgba(0, 0, 0, .4); +} + +.module_wrapper > .wrapper { + padding: 24px 16px; + box-sizing: border-box; +} + +#tab_desc h3 { + border-bottom: 1px solid rgb(81, 81, 81); + padding: 5px; + margin: 2px; +} + +#tab_desc > .wrapper a, +#tab_doc > .wrapper a { + text-decoration: underline; +} + +.tab_bar { + height: 30px; + border-left: none; + border-bottom: 1px solid #505050; +} + +.tab_bar button, +.files_bar button { + height: 29px; + border-top-left-radius: 3px; + border-top-right-radius: 3px; +} + +.tab_bar button.active, +.files_bar button.active { + border: 1px solid #505050; + border-bottom: none; +} + +.close_bar, +.files_bar { + height: 30px; + border-bottom: 1px solid #505050; +} + +.files_bar > * { + position: absolute; +} + +.files_bar > button { + width: 30px; +} + +.files_bar .btn-left { + left: 0; +} + +.files_bar .btn-right { + right: 0; +} + +.files_bar > .wrapper { + left: 30px; + right: 30px; + overflow: scroll; + white-space: nowrap; +} + +.files_bar > .wrapper > button { + max-width: 80%; +} + +.files_bar > .wrapper.shadow-left { + box-shadow: inset 16px 0 16px -16px rgba(0, 0, 0, .6); +} + +.files_bar > .wrapper.shadow-right { + box-shadow: inset -16px 0 16px -16px rgba(0, 0, 0, .6); +} + +.files_bar > .wrapper.shadow-left.shadow-right { + box-shadow: inset 16px 0 16px -16px rgba(0, 0, 0, .6), inset -16px 0 16px -16px rgba(0, 0, 0, .6); +} + +.close_bar { + width: 100%; + background-color: #3f3f3f; +} + +.explanation_container { + border: none; + top: 30px; + height: 30px; + background: rgb(36, 36, 36); + padding: 8px; + font-size: 12px; +} + +#explanation:before { + font-family: FontAwesome; + content: '\f05a\00a0\00a0'; +} + +#explanation { + display: block; + white-space: nowrap; + overflow: hidden; + text-overflow: ellipsis; +} + +.explanation_container:hover { + z-index: 5; + height: auto; + bottom: auto; + box-shadow: 0 8px 8px -8px rgba(0, 0, 0, .8); +} + +.explanation_container:hover #explanation { + white-space: normal; +} + +.data_container { + top: 60px; + bottom: 60%; +} + +.code_container { + top: 40%; +} + +pre { + box-sizing: border-box; + height: 100%; + width: 100%; + margin: 0; + padding: 0; + border: 1px solid rgb(81, 81, 81); + background: rgb(43, 43, 43); + outline: none; + resize: none; +} + +.toast_container { + position: absolute; + bottom: 0; + right: 0; + padding: 12px; + z-index: 4; +} + +.toast { + width: 280px; + border: 1px solid; + border-radius: 4px; + padding: 16px; + margin: 16px; +} + +.toast.error { + border-color: rgb(150, 0, 0); + background: rgba(120, 0, 0, .8); +} + +.toast.info { + border-color: rgb(0, 150, 0); + background: rgba(0, 120, 0, .8); +} + +.github-fork-ribbon { + position: fixed; +} + +.github-fork-ribbon.left-bottom:before { + background-color: #333; +} + +.fa-spin-faster { + animation: fa-spin 1s infinite ease-in-out; +} + +.mtbl-wrapper { + width: 100%; + height: 100%; +} + +.mtbl-table { + display: inline-table; + color: white; + table-layout: fixed; + border: 1px solid #505050; +} + +.mtbl-row { + display: table-row; +} + +.mtbl-col { + display: table-cell; + vertical-align: middle; + text-align: center; + background: #888; +} + +.mtbl-empty-row { + display: table-row; + background: rgb(63, 63, 63); + height: 2px; +} + +.mtbl-empty-col { + display: table-cell; + background: rgb(63, 63, 63); + width: 2px; +} + +.mtbl-col.selected { + background: #2962ff; +} + +.mtbl-col.notified { + background: #c51162; +} + +.mchrt-chart { + width: 100%; + height: 100%; +} + +#loading-slider { + z-index: 6; + position: absolute; + width: 100%; + height: 2px; +} + +#loading-slider.loaded { + visibility: hidden; +} + +.line { + position: absolute; + background: #4a8df8; + width: 100%; + left: 0; + right: 0; + top: 0; + height: 3px; +} + +.break { + position: absolute; + background: #222; + width: 6px; + height: 2px; +} + +.dot1 { + animation: loading 2s infinite; +} + +.dot2 { + animation: loading 2s 0.5s infinite; +} + +.dot3 { + animation: loading 2s 1s infinite; +} + +@keyframes loading { + from { + left: 0; + } + to { + left: 100%; + } +} + +input[type="number"] { + -moz-appearance: textfield; +} + +input[type=number]::-webkit-inner-spin-button, +input[type=number]::-webkit-outer-spin-button { + -webkit-appearance: none; + margin: 0; +} + +.applications li, +.complexity { + margin: 10px 0px; +} + +.complexity-type { + font-weight: bold; +} + +.top-menu-buttons button.active { + font-weight: bold; +} + +.top-menu-buttons button.active .fa { + color: #00e676; +} + +#btn_run > .btn-text:before { + content: 'Run' +} + +#btn_run.active > .btn-text:before { + content: 'Rerun' +} + +#btn_pause > .btn-text:before { + content: 'Pause' +} + +#btn_pause.active > .btn-text:before { + content: 'Resume' +} + +#btn_pause { + width: 86px; +} + +.top-menu-buttons button.active { + box-shadow: 0px 0px 10px 3px #1a1a1a inset; +} + +.top-menu-buttons button:active { + box-shadow: 0px 0px 10px 3px #1a1a1a inset; +} + +.executing { + background: rgba(0, 174, 255, 0.4); + border: 1px solid #0091ea; + position: absolute; + width: 100% !important; + left: 0 !important; + + animation: line_highlight .1s; +} + +@keyframes line_highlight { + from { + background: rgba(0, 174, 255, 0.1); + } + to { + background: rgba(0, 174, 255, 0.4); + } +} + +.ace_editor { + border-left: none; + border-bottom: none; +} + +@media (max-width: 1024px) { + .sidemenu, + .workspace { + top: 60px; + } + + nav { + height: 60px; + } + + .top-menu-buttons { + top: 30px; + left: 0; + } +} + +.buttonContainer { + width: 75px; + height: 25px; + display: block; + position: relative; + z-index: 100; + background-color: white; +} + +.inputField { + width: 25px; + border: 0; +} + +.sb-button { + border: 1px solid #515151; + height: 25px; + margin: 0 auto; +} + +.auto-gen { + top: 30px; + height: 100%; + width: 100%; + text-align: center; + background-color: #262626; + align-items: center; +} + +.inputs { + display: inline-block; + border: 0; + background-color: #505050; + height: 25px; + width: 75px; +} + +.grid { + width: 50%; + height: 50%; + float: left; + -webkit-box-sizing: border-box; + -moz-box-sizing: border-box; + box-sizing: border-box; +} + +.fields { + margin-top: 5px; + margin-bottom: 5px; +} diff --git a/fonts/FontAwesome.otf b/fonts/FontAwesome.otf new file mode 100644 index 00000000..5e1fc3aa Binary files /dev/null and b/fonts/FontAwesome.otf differ diff --git a/fonts/fontawesome-webfont.eot b/fonts/fontawesome-webfont.eot new file mode 100644 index 00000000..4faa4860 Binary files /dev/null and b/fonts/fontawesome-webfont.eot differ diff --git a/fonts/fontawesome-webfont.svg b/fonts/fontawesome-webfont.svg new file mode 100644 index 00000000..d32830cb --- /dev/null +++ b/fonts/fontawesome-webfont.svg @@ -0,0 +1,685 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/fonts/fontawesome-webfont.ttf b/fonts/fontawesome-webfont.ttf new file mode 100644 index 00000000..9d02852c Binary files /dev/null and b/fonts/fontawesome-webfont.ttf differ diff --git a/fonts/fontawesome-webfont.woff b/fonts/fontawesome-webfont.woff new file mode 100644 index 00000000..1b92d42f Binary files /dev/null and b/fonts/fontawesome-webfont.woff differ diff --git a/fonts/fontawesome-webfont.woff2 b/fonts/fontawesome-webfont.woff2 new file mode 100644 index 00000000..88095c76 Binary files /dev/null and b/fonts/fontawesome-webfont.woff2 differ diff --git a/gulpfile.babel.js b/gulpfile.babel.js new file mode 100644 index 00000000..1e528a2f --- /dev/null +++ b/gulpfile.babel.js @@ -0,0 +1,160 @@ + +'use strict'; + +import path from "path"; +import gulp from "gulp"; +import uglify from "gulp-uglify"; +import cleanCSS from "gulp-clean-css"; +import autoprefixer from "gulp-autoprefixer"; +import concat from "gulp-concat"; +import header from "gulp-header"; +import gutil from "gulp-util"; +import sourcemaps from "gulp-sourcemaps"; +import connect from "gulp-connect"; +import browserify from "browserify"; +import babelify from "babelify"; +import source from "vinyl-source-stream"; +import buffer from "vinyl-buffer"; +import pkg from "./package.json"; + +const appName = 'algorithm_visualizer'; +const appEntryPoint = './js/index.js'; + +const outputPaths = { + javascript: './public', + css: './public', + sourceMaps: './' +}; + +const banner = [ + '/**', + ' * <%= pkg.name %> - <%= pkg.description %>', + ' * @version v<%= pkg.version %>', + ' * @author <%= pkg.author %>', + ' * @link <%= pkg.homepage %>', + ' * @license <%= pkg.license %>', + ' */', + '' +].join('\n'); + +// build directories + +const cssDir = path.join(__dirname, 'css', '**', '*.css'); +const jsDir = path.join(__dirname, 'js', '**', '*.js'); + +// CSS + +gulp.task('minify-css', () => { + gutil.log('\n\nBuild CSS Paths: \n', cssDir, '\n\n'); + + return gulp.src(cssDir) + .pipe(autoprefixer()) + .pipe(cleanCSS({ + compatibility: 'ie8' + })) + .pipe(concat(`${appName}.min.css`)) + .pipe(header(banner, { + pkg + })) + .pipe(gulp.dest(outputPaths.css)) + .pipe(connect.reload()); +}); + +gulp.task('build-css', () => { + gutil.log('\n\nBuild CSS Paths: \n', cssDir, '\n\n'); + + return gulp.src(cssDir) + .pipe(autoprefixer()) + .pipe(concat(`${appName}.css`)) + .pipe(header(banner, { + pkg + })) + .pipe(gulp.dest(outputPaths.css)) + .pipe(connect.reload()); +}); + +// JS + +gulp.task('minify-js', () => { + + gutil.log('\n\nBuild JS Paths: \n', jsDir, '\n\n'); + + return browserify({ + entries: './js/index.js', + debug: true + }) + .transform('babelify', { + presets: ['es2015'] + }) + .bundle() + .pipe(source(`${appName}.min.js`)) + .pipe(header(banner, { + pkg + })) + .pipe(buffer()) + .pipe(sourcemaps.init()) + .pipe(uglify()) + .pipe(sourcemaps.write(outputPaths.sourceMaps)) + .pipe(gulp.dest(outputPaths.javascript)) + .pipe(connect.reload()); + +}); + +gulp.task('build-js', () => { + + gutil.log('\n\nBuild JS Paths: \n', jsDir, '\n\n'); + + return browserify({ + entries: './js/index.js', + debug: true + }) + .transform('babelify', { + presets: ['es2015'] + }) + .bundle() + .pipe(source(`${appName}.js`)) + .pipe(header(banner, { + pkg + })) + .pipe(buffer()) + .pipe(sourcemaps.init()) + .pipe(sourcemaps.write(outputPaths.sourceMaps)) + .pipe(gulp.dest(outputPaths.javascript)) + .pipe(connect.reload()); +}); + +// Build + +gulp.task('compile-css', ['build-css', 'minify-css']); +gulp.task('compile-js', ['build-js', 'minify-js']); +gulp.task('build', ['compile-css', 'compile-js']); + +// Server + +gulp.task('connect', function () { + + connect.server({ + port: process.env.PORT || 8080, + livereload: true + }); +}); + +// Watch + +gulp.task('watch', ['build'], function () { + gulp.watch(jsDir, ['compile-js']); + gulp.watch(cssDir, ['compile-css']); +}); + +// Heroku Production + +gulp.task('prod', ['build'], function () { + connect.server({ + port: process.env.PORT || 8080, + livereload: false + }); +}); + +// Default + +gulp.task('default', ['connect', 'watch']); diff --git a/img/favicon.ico b/img/favicon.ico new file mode 100644 index 00000000..ba101a2c Binary files /dev/null and b/img/favicon.ico differ diff --git a/img/image.png b/img/image.png new file mode 100644 index 00000000..c32a90cc Binary files /dev/null and b/img/image.png differ diff --git a/index.html b/index.html new file mode 100644 index 00000000..d1a853fa --- /dev/null +++ b/index.html @@ -0,0 +1,192 @@ + + + + + + + + + + + Codestin Search App + + + + + + + +
+
+
+
+
+
+ +
+
+ + +
+
+
+ + Fork me on GitHub +
+
+
+
+ + + +
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ + +
+
+
+ +
+
+ 

+        

+        

+            

+        

+    

+

+

+

+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/js/app/cache.js b/js/app/cache.js
new file mode 100644
index 00000000..fe3df79e
--- /dev/null
+++ b/js/app/cache.js
@@ -0,0 +1,44 @@
+'use strict';
+
+const {
+  extend
+} = $;
+
+const cache = {
+  lastFileUsed: '',
+  files: {}
+};
+
+const assertFileName = (name) => {
+  if (!name) {
+    throw 'Missing file name';
+  }
+};
+
+
+/**
+ * Global application cache
+ */
+module.exports = {
+
+  getCachedFile(name) {
+    assertFileName(name);
+    return cache.files[name];
+  },
+
+  updateCachedFile(name, updates) {
+    assertFileName(name);
+    if (!cache.files[name]) {
+      cache.files[name] = {};
+    }
+    extend(cache.files[name], updates);
+  },
+
+  getLastFileUsed() {
+    return cache.lastFileUsed;
+  },
+
+  setLastFileUsed(file) {
+    cache.lastFileUsed = file;
+  }
+};
\ No newline at end of file
diff --git a/js/app/constructor.js b/js/app/constructor.js
new file mode 100644
index 00000000..d93dbcfe
--- /dev/null
+++ b/js/app/constructor.js
@@ -0,0 +1,103 @@
+'use strict';
+
+const Editor = require('../editor');
+const TracerManager = require('../tracer_manager');
+const DOM = require('../dom/setup');
+
+const {
+  showLoadingSlider,
+  hideLoadingSlider
+} = require('../dom/loading_slider');
+
+const Cache = require('./cache');
+
+const state = {
+  isLoading: null,
+  editor: null,
+  tracerManager: null,
+  categories: null,
+  loadedScratch: null,
+  wikiList: null
+};
+
+const initState = (tracerManager) => {
+  state.isLoading = false;
+  state.editor = new Editor(tracerManager);
+  state.tracerManager = tracerManager;
+  state.categories = {};
+  state.loadedScratch = null;
+  state.wikiList = [];
+};
+
+/**
+ * Global application singleton.
+ */
+const App = function () {
+
+  this.getIsLoading = () => {
+    return state.isLoading;
+  };
+
+  this.setIsLoading = (loading) => {
+    state.isLoading = loading;
+    if (loading) {
+      showLoadingSlider();
+    } else {
+      hideLoadingSlider();
+    }
+  };
+
+  this.getEditor = () => {
+    return state.editor;
+  };
+
+  this.getCategories = () => {
+    return state.categories;
+  };
+
+  this.getCategory = (name) => {
+    return state.categories[name];
+  };
+
+  this.setCategories = (categories) => {
+    state.categories = categories;
+  };
+
+  this.updateCategory = (name, updates) => {
+    $.extend(state.categories[name], updates);
+  };
+
+  this.getTracerManager = () => {
+    return state.tracerManager;
+  };
+
+  this.getLoadedScratch = () => {
+    return state.loadedScratch;
+  };
+
+  this.setLoadedScratch = (loadedScratch) => {
+    state.loadedScratch = loadedScratch;
+  };
+
+  this.getWikiList = () => {
+    return state.wikiList;
+  };
+
+  this.setWikiList = (wikiList) => {
+    state.wikiList = wikiList;
+  };
+
+  this.hasWiki = (wiki) => {
+    return ~state.wikiList.indexOf(wiki);
+  };
+
+  const tracerManager = TracerManager.init();
+
+  initState(tracerManager);
+  DOM.setup(tracerManager);
+
+};
+
+App.prototype = Cache;
+
+module.exports = App;
diff --git a/js/app/index.js b/js/app/index.js
new file mode 100644
index 00000000..6d33dc62
--- /dev/null
+++ b/js/app/index.js
@@ -0,0 +1,7 @@
+'use strict';
+
+/**
+ * This is the main application instance.
+ * Gets populated on page load. 
+ */
+module.exports = {};
\ No newline at end of file
diff --git a/js/create/array1d.js b/js/create/array1d.js
new file mode 100644
index 00000000..e15b718e
--- /dev/null
+++ b/js/create/array1d.js
@@ -0,0 +1,45 @@
+'use strict';
+
+const array2D = require('./array2d');
+const modules = require('../module');
+const util = require('./util');
+
+const getTracerName = () =>{
+    return document.getElementById("tracerName-1D").value;
+}
+
+const getNumColumns = () => {
+    var column_field = document.getElementById('numColumns-1D');
+    return column_field.value;
+};
+
+const setup = () => {
+    var button_1DMatrix = document.getElementById("button-1DMatrix");
+    var logger;
+    var arr1DTracer;
+    button_1DMatrix.addEventListener('click',function(){
+        util.clearModules();
+        arr1DTracer = new modules.Array1DTracer();
+        var arrElem = document.querySelector('.module_wrapper');
+        arrElem.addEventListener("mousewheel", array2D.mousescroll, false);
+        arrElem.addEventListener("DOMMouseScroll", array2D.mousescroll, false);
+        logger = new modules.LogTracer('Generated Javascript');
+
+        var numColumns = getNumColumns();
+        var data = array2D.fauxData(1,numColumns)[0];
+
+        arr1DTracer.setData(data);
+        array2D.tableToInputFields(1, numColumns);
+        util.positionModules();
+        arr1DTracer.refresh();
+    },false);
+    var button_JS = document.getElementById('button-generateJS-1D');
+    button_JS.addEventListener('click',function(){
+        array2D.generateJS(logger, 'Array1DTracer',getTracerName());
+    },false);
+};
+
+
+module.exports = {
+    setup
+};
diff --git a/js/create/array2d.js b/js/create/array2d.js
new file mode 100644
index 00000000..43fa4ecc
--- /dev/null
+++ b/js/create/array2d.js
@@ -0,0 +1,146 @@
+'use strict';
+
+const modules = require('../module');
+const util = require('./util');
+
+
+const getTracerName = () =>{
+    return document.getElementById("tracerName-2D").value;
+}
+
+const getNumRows = () => {
+    var row_field = document.getElementById('numRows-2D');
+    return row_field.value;
+}
+
+const getNumColumns = () => {
+    var column_field = document.getElementById('numColumns-2D');
+    return column_field.value;
+}
+
+const fauxData = (r, c) => {
+    var D = [];
+    for (var i = 0; i < r; i++) {
+      D.push([]);
+      for (var j = 0; j < c; j++) {
+        D[i].push(Math.floor(Math.random()* 10 + 1));
+      }
+    }
+    return D;
+}
+
+const tableToInputFields = (numRows, numColumns) => {
+    var table = document.querySelector('.mtbl-table');
+
+    for(var i = 0; i < numRows; i++){
+        for(var j = 0; j < numColumns; j++){
+            var elem = document.createElement('input');
+            elem.type = 'Text';
+            elem.value = Math.floor(Math.random() * 10 + 1);
+            elem.classList.add('mtbl-col','inputField');
+            table.childNodes[i].childNodes[j].innerHTML = '';
+            table.childNodes[i].childNodes[j].appendChild(elem);
+        }
+    }
+}
+
+const generateJS = (logger, tracer, tracerName) => {
+    if(!logger) return;
+
+    logger.clear();
+    var table = document.querySelector('.mtbl-table');
+
+    var numRows = table.childNodes.length;
+    var numColumns = table.childNodes[0].childNodes.length;
+
+    logger.print('Copy and paste this code in your data.js file!');
+    logger.print('');
+
+    if(numRows > 1) {
+        logger.print('let myTable = [');
+    }
+
+    var line = 'let myTable = [';
+    var i;
+    var j;
+    var comma = ',';
+    var currVal;
+    var nors;
+    for(i = 0; i < numRows; i++){
+        if(numRows > 1){
+            line = '[';
+        }
+        for(j = 0; j < numColumns-1; j++){
+            currVal = table.childNodes[i].childNodes[j].childNodes[0].value;
+            nors = Number(currVal);
+            if(isNaN(nors)){
+                currVal = "'" + currVal + "'";
+            }
+            line += currVal + ',';
+        }
+        if(i === numRows - 1){comma = '';}
+        currVal = table.childNodes[i].childNodes[j++].childNodes[0].value;
+        nors = Number(currVal);
+        if(isNaN(nors)){
+            currVal = "'" + currVal + "'";
+        }
+        line += currVal + ']' + comma;
+        logger.print(line);
+    }
+    if(numRows > 1){
+        logger.print(']');
+    }
+
+
+    logger.print("let myTableTracer = new "+ tracer +" ('"+tracerName+"')");
+    logger.print('myTableTracer._setData (myTable)');
+
+    util.enabledHightlighting();
+}
+
+const mousescroll = (e) =>{
+    var colmElem = document.querySelector('.mtbl-col');
+    var delta = (e.wheelDelta !== undefined && e.wheelDelta) ||
+      (e.detail !== undefined && -e.detail);
+
+    var inputFields = document.getElementsByClassName("inputField");
+    for (var i = 0; i < inputFields.length; i++) {
+        inputFields[i].style.width = (parseFloat(colmElem.style.fontSize) * 2.5) + "px";
+     }
+
+}
+
+const setup = () => {
+    var button_2DMatrix = document.getElementById("button-2DMatrix");
+    var logger;
+    var arr2DTracer;
+    button_2DMatrix.addEventListener('click',function(){
+        util.clearModules();
+        arr2DTracer = new modules.Array2DTracer();
+        var arrElem = document.querySelector('.module_wrapper');
+        arrElem.addEventListener("mousewheel", mousescroll, false);
+        arrElem.addEventListener("DOMMouseScroll", mousescroll, false);
+        logger = new modules.LogTracer('Generated Javascript');
+
+        var numRows = getNumRows();
+        var numColumns = getNumColumns();
+        var data = fauxData(numRows, numColumns);
+
+        arr2DTracer.setData(data);
+        tableToInputFields(numRows, numColumns);
+        util.positionModules();
+        arr2DTracer.refresh();
+    },false);
+    var button_JS = document.getElementById('button-generateJS-2D');
+    button_JS.addEventListener('click',function(){
+        generateJS(logger, 'Array2DTracer', getTracerName());
+    },false);
+}
+
+module.exports = {
+    setup,
+    mousescroll,
+    fauxData,
+    tableToInputFields,
+    generateJS
+};
diff --git a/js/create/index.js b/js/create/index.js
new file mode 100644
index 00000000..0b3514de
--- /dev/null
+++ b/js/create/index.js
@@ -0,0 +1,94 @@
+'use strict';
+
+const modules = require('../module');
+const array2d = require('./array2d');
+const array1d = require('./array1d');
+const util = require('./util');
+const Server = require('../server');
+const DOM = require('../dom');
+
+const {
+  getPath
+} = require('../server/helpers');
+
+const closeCreate = () => {
+        const $btnClose = $('#btn_close');
+
+        $btnClose.click(() => {
+            $('.sandbox_container').remove();
+            util.clearModules();
+            reloadAlgorithm();
+        });
+};
+
+const reloadAlgorithm = () => {
+    const {
+      category,
+      algorithm,
+      file
+    } = getPath();
+
+    Server.loadAlgorithm(category, algorithm).then((data) => {
+      DOM.showAlgorithm(category, algorithm, data);
+    });
+};
+
+const createHTML = () => {
+    $('.workspace').append("
\
+            
\
+            
\
+                
\
+                    \
+                
\
+            
\
+            
\
+            
\
+                
\
+                
 array1DTracer 
\
+                \
+                
\
+                # of Columns: \
+                
\
+                
\
+                Tracer Name: \
+                
\
+                \
+                \
+                
\
+                
\
+                
 array2DTracer 
\
+                \
+                
\
+                # of Rows: \
+                
\
+                
\
+                # of Columns: \
+                
\
+                
\
+                Tracer Name: \
+                
\
+                \
+                \
+                
\
+                
\
+                
\
+            
\
+    
");
+};
+
+const init = () => {
+
+    var check = $('.sandbox_container');
+    if(!check.length){
+        util.clearModules();
+        createHTML();
+        array2d.setup();
+        array1d.setup();
+        closeCreate();
+        util.clickTraceTab();
+    }
+};
+
+module.exports = {
+    init
+};
diff --git a/js/create/util.js b/js/create/util.js
new file mode 100644
index 00000000..981259f5
--- /dev/null
+++ b/js/create/util.js
@@ -0,0 +1,54 @@
+'use strict';
+
+const positionModules = () =>{
+    var elems = document.getElementsByClassName('module_wrapper');
+    if(elems <= 0) return;
+
+    var n = elems.length;
+    var spacing = (100/n);
+
+    for (var i = 0; i < n; i++) {
+        if( i === 0){
+            elems[i].style.bottom = (spacing * (n-1)) + '%';
+        }else if(i === n - 1){
+            elems[i].style.top = (spacing * i) + '%';
+        }else{
+            elems[i].style.top = (spacing * i) + '%';
+            elems[i].style.bottom = (spacing * i) + '%';
+        }
+    }
+}
+
+const clearModules = () =>{
+    var elems = document.getElementsByClassName('module_wrapper');
+    if(elems.length > 0){
+        var parent = elems[0].parentElement;
+        var numChild = parent.childNodes.length;
+        for(var i = 0; i < numChild; i++){
+            parent.removeChild(parent.firstChild);
+        }
+    }
+}
+
+const enabledHightlighting = () =>{
+    var elems = document.getElementsByClassName('module_wrapper');
+    var logger = elems[1];
+    var wrapper = logger.childNodes[1];
+    for (var i = 0; i < wrapper.childNodes.length; i++) {
+        wrapper.childNodes[i].style["-webkit-user-select"] = "all";
+    }
+}
+
+const clickTraceTab = () => {
+    var btn = document.getElementById('btn_trace');
+    if(btn){
+        btn.click();
+    }
+}
+
+module.exports = {
+    enabledHightlighting,
+    positionModules,
+    clearModules,
+    clickTraceTab
+};
diff --git a/js/dom/add_categories.js b/js/dom/add_categories.js
new file mode 100644
index 00000000..3077f519
--- /dev/null
+++ b/js/dom/add_categories.js
@@ -0,0 +1,55 @@
+'use strict';
+
+const app = require('../app');
+const Server = require('../server');
+const showAlgorithm = require('./show_algorithm');
+
+const {
+  each
+} = $;
+
+const getAlgorithmDOM = (category, subList, algorithm) => {
+  return $('\nsnippet button.\n	\nsnippet button#\n	\nsnippet button:s\n	\nsnippet button:r\n	\nsnippet canvas\n	\n		${1}\n	\nsnippet caption\n	${1}\nsnippet cite\n	${1}\nsnippet code\n	${1}\nsnippet col\n	${1}\nsnippet col+\n	\n	col+${1}\nsnippet colgroup\n	\n		${1}\n	\nsnippet colgroup+\n	\n		\n		col+${1}\n	\nsnippet command\n	\nsnippet command:c\n	\nsnippet command:r\n	\nsnippet datagrid\n	\n		${1}\n	\nsnippet datalist\n	\n		${1}\n	\nsnippet datatemplate\n	\n		${1}\n	\nsnippet dd\n	
${1}
\nsnippet dd.\n	
${2}
\nsnippet dd#\n	
${2}
\nsnippet del\n	${1}\nsnippet details\n	
${1}
\nsnippet dfn\n	${1}\nsnippet dialog\n	\n		${1}\n	\nsnippet div\n	
\n		${1}\n	
\nsnippet div.\n	
\n		${2}\n	
\nsnippet div#\n	
\n		${2}\n	
\nsnippet dl\n	
\n		${1}\n	
\nsnippet dl.\n	
\n		${2}\n	
\nsnippet dl#\n	
\n		${2}\n	
\nsnippet dl+\n	
\n		
${1}
\n		
${2}
\n		dt+${3}\n	
\nsnippet dt\n	
${1}
\nsnippet dt.\n	
${2}
\nsnippet dt#\n	
${2}
\nsnippet dt+\n	
${1}
\n	
${2}
\n	dt+${3}\nsnippet em\n	${1}\nsnippet embed\n	\n		${2}\n	\nsnippet fieldset#\n	
\n		${2}\n	
\nsnippet fieldset+\n	
\n		${1}\n		${2}\n	
\n	fieldset+${3}\nsnippet figcaption\n	
${1}
\nsnippet figure\n	
${1}
\nsnippet footer\n	
\n		${1}\n	
\nsnippet footer.\n	
\n		${2}\n	
\nsnippet footer#\n	
\n		${2}\n	
\nsnippet form\n	
\n		${3}\n	
\nsnippet form.\n	
\n		${4}\n	
\nsnippet form#\n	
\n		${4}\n	
\nsnippet h1\n	
${1}
\nsnippet h1.\n	
${2}
\nsnippet h1#\n	
${2}
\nsnippet h2\n	
${1}
\nsnippet h2.\n	
${2}
\nsnippet h2#\n	
${2}
\nsnippet h3\n	
${1}
\nsnippet h3.\n	
${2}
\nsnippet h3#\n	
${2}
\nsnippet h4\n	
${1}
\nsnippet h4.\n	
${2}
\nsnippet h4#\n	
${2}
\nsnippet h5\n	
${1}
\nsnippet h5.\n	
${2}
\nsnippet h5#\n	
${2}
\nsnippet h6\n	
${1}
\nsnippet h6.\n	
${2}
\nsnippet h6#\n	
${2}
\nsnippet head\n	\n		\n\n		Codestin Search App\n		${2}\n	\nsnippet header\n	
\n		${1}\n	
\nsnippet header.\n	
\n		${2}\n	
\nsnippet header#\n	
\n		${2}\n	
\nsnippet hgroup\n	
\n		${1}\n	
\nsnippet hgroup.\n	
\n	${1}\n	\nsnippet html5\n	\n	\n		\n			\n			Codestin Search App\n			${2:meta}\n		\n		\n			${3:body}\n		\n	\nsnippet i\n	${1}\nsnippet iframe\n	${2}\nsnippet iframe.\n	${3}\nsnippet iframe#\n	${3}\nsnippet img\n	${2}${3}\nsnippet img.\n	${3}${4}\nsnippet img#\n	${3}${4}\nsnippet input\n	${5}\nsnippet input.\n	${6}\nsnippet input:text\n	${4}\nsnippet input:submit\n	${4}\nsnippet input:hidden\n	${4}\nsnippet input:button\n	${4}\nsnippet input:image\n	${5}\nsnippet input:checkbox\n	${3}\nsnippet input:radio\n	${3}\nsnippet input:color\n	${4}\nsnippet input:date\n	${4}\nsnippet input:datetime\n	${4}\nsnippet input:datetime-local\n	${4}\nsnippet input:email\n	${4}\nsnippet input:file\n	${4}\nsnippet input:month\n	${4}\nsnippet input:number\n	${4}\nsnippet input:password\n	${4}\nsnippet input:range\n	${4}\nsnippet input:reset\n	${4}\nsnippet input:search\n	${4}\nsnippet input:time\n	${4}\nsnippet input:url\n	${4}\nsnippet input:week\n	${4}\nsnippet ins\n	${1}\nsnippet kbd\n	${1}\nsnippet keygen\n	${1}\nsnippet label\n	\nsnippet label:i\n	\n	${7}\nsnippet label:s\n	\n	\nsnippet legend\n	${1}\nsnippet legend+\n	${1}\nsnippet li\n	
  • ${1}
    • \nsnippet li.\n	
  • ${2}
    • \nsnippet li+\n	
  • ${1}
    • \n	li+${2}\nsnippet lia\n	
  • ${1}
    • \nsnippet lia+\n	
  • ${1}
    • \n	lia+${3}\nsnippet link\n	${5}\nsnippet link:atom\n	${2}\nsnippet link:css\n	${4}\nsnippet link:favicon\n	${2}\nsnippet link:rss\n	${2}\nsnippet link:touch\n	${2}\nsnippet map\n	\n		${2}\n	\nsnippet map.\n	\n		${3}\n	\nsnippet map#\n	\n		${5}${6}\n	${7}\nsnippet mark\n	${1}\nsnippet menu\n	\n		${1}\n	\nsnippet menu:c\n	\n		${1}\n	\nsnippet menu:t\n	\n		${1}\n	\nsnippet meta\n	${3}\nsnippet meta:compat\n	${3}\nsnippet meta:refresh\n	${3}\nsnippet meta:utf\n	${3}\nsnippet meter\n	${1}\nsnippet nav\n	\nsnippet nav.\n	\nsnippet nav#\n	\nsnippet noscript\n	\nsnippet object\n	\n		${3}\n	${4}\n# Embed QT Movie\nsnippet movie\n	\n		\n		\n		\n		\n	${6}\nsnippet ol\n	
      \n		${1}\n	
    \nsnippet ol.\n	
      \n		${2}\n	
    \nsnippet ol+\n	
      \n		
    1. ${1}
      2. \n		li+${2}\n	
    \nsnippet opt\n	\nsnippet opt+\n	\n	opt+${3}\nsnippet optt\n	\nsnippet optgroup\n	\n		\n		opt+${3}\n	\nsnippet output\n	${1}\nsnippet p\n	
    ${1}
    \nsnippet param\n	${3}\nsnippet pre\n	
    \n		${1}\n	
    \nsnippet progress\n	${1}\nsnippet q\n	${1}\nsnippet rp\n	${1}\nsnippet rt\n	${1}\nsnippet ruby\n	\n		${1}\n	\nsnippet s\n	${1}\nsnippet samp\n	\n		${1}\n	\nsnippet script\n