From def3ad6eea9bf23f175898f5b300ec967e4ef48c Mon Sep 17 00:00:00 2001 From: Saketh Surya Date: Wed, 19 Jun 2024 16:52:34 +0530 Subject: [PATCH] Added EigenValue and Vector Calculator Added new calculator for Largest Eigen Value and Eigen Vector of a N x N Matrix using Power method. Added project to the index.html website and also in readme.md file. --- .../index.html | 27 +++++ .../script.js | 79 +++++++++++++++ .../style.css | 92 ++++++++++++++++++ 30DaysOfJavaScript/assets/128.png | Bin 0 -> 336036 bytes 30DaysOfJavaScript/script.js | 3 +- README.md | 62 ++++++------ index.html | 13 +++ 7 files changed, 245 insertions(+), 31 deletions(-) create mode 100644 128 - Eigen Value and Vector Calculator/index.html create mode 100644 128 - Eigen Value and Vector Calculator/script.js create mode 100644 128 - Eigen Value and Vector Calculator/style.css create mode 100644 30DaysOfJavaScript/assets/128.png diff --git a/128 - Eigen Value and Vector Calculator/index.html b/128 - Eigen Value and Vector Calculator/index.html new file mode 100644 index 00000000..3190f6c4 --- /dev/null +++ b/128 - Eigen Value and Vector Calculator/index.html @@ -0,0 +1,27 @@ + + + + + + Eigenvalue and Eigenvector Calculator + + + +
+

Largest Eigen Value and Eigen Vector Calculator

+
+ + + +
+
+ +
+
+ + + diff --git a/128 - Eigen Value and Vector Calculator/script.js b/128 - Eigen Value and Vector Calculator/script.js new file mode 100644 index 00000000..d60195b4 --- /dev/null +++ b/128 - Eigen Value and Vector Calculator/script.js @@ -0,0 +1,79 @@ +function generateMatrixInput() { + const dimension = document.getElementById("dimension").value; + const matrixInputDiv = document.getElementById("matrix-input"); + matrixInputDiv.innerHTML = ""; // Clear previous inputs + + for (let i = 0; i < dimension; i++) { + const rowDiv = document.createElement("div"); + for (let j = 0; j < dimension; j++) { + const input = document.createElement("input"); + input.type = "number"; + input.id = `matrix-${i}-${j}`; + input.value = Math.floor(Math.random() * 10); // Default random values for fun + rowDiv.appendChild(input); + } + matrixInputDiv.appendChild(rowDiv); + } + + document.getElementById("calculate").style.display = "inline-block"; +} + +function calculateEigen() { + const dimension = document.getElementById("dimension").value; + const matrix = []; + + // Read matrix values from inputs + for (let i = 0; i < dimension; i++) { + const row = []; + for (let j = 0; j < dimension; j++) { + const value = parseFloat( + document.getElementById(`matrix-${i}-${j}`).value + ); + row.push(value); + } + matrix.push(row); + } + + // Perform power iteration to find largest eigenvalue and eigenvector + let eigenvalue = 0; + let eigenvector = new Array(dimension).fill(1); + const tolerance = 1e-6; + const maxIterations = 1000; + + for (let iter = 0; iter < maxIterations; iter++) { + let newEigenvector = multiplyMatrixVector(matrix, eigenvector); + let norm = Math.max(...newEigenvector.map(Math.abs)); + newEigenvector = newEigenvector.map((val) => val / norm); + + if (Math.abs(norm - eigenvalue) < tolerance) { + eigenvalue = norm; + eigenvector = newEigenvector; + break; + } + + eigenvalue = norm; + eigenvector = newEigenvector; + } + + displayResults(eigenvalue, eigenvector); +} + +function multiplyMatrixVector(matrix, vector) { + const result = []; + for (let i = 0; i < matrix.length; i++) { + let sum = 0; + for (let j = 0; j < vector.length; j++) { + sum += matrix[i][j] * vector[j]; + } + result.push(sum); + } + return result; +} + +function displayResults(eigenvalue, eigenvector) { + const resultsDiv = document.getElementById("results"); + resultsDiv.innerHTML = `

Largest Eigenvalue: ${eigenvalue.toFixed(6)}

`; + resultsDiv.innerHTML += `

Corresponding Eigenvector:
[${eigenvector + .map((val) => val.toFixed(6)) + .join(", ")}]

`; +} diff --git a/128 - Eigen Value and Vector Calculator/style.css b/128 - Eigen Value and Vector Calculator/style.css new file mode 100644 index 00000000..934ece57 --- /dev/null +++ b/128 - Eigen Value and Vector Calculator/style.css @@ -0,0 +1,92 @@ +body { + font-family: "Arial", sans-serif; + background: rgb(29,29,124); + background: linear-gradient(90deg, rgba(29,29,124,0.9641106442577031) 30%, rgba(0,23,28,1) 90%); + display: flex; + justify-content: center; + position: relative; + color: #473434; +} + +.container { + background-color: #ffffff; + padding: 30px; + border-radius: 15px; + box-shadow: 0 4px 10px rgba(0, 0, 0, 0.1); + width: 500px; + text-align: center; + position: absolute; + top: 85px; +} + +h1 { + margin-bottom: 20px; + font-size: 24px; + color: #0056b3; +} + +form { + margin-bottom: 20px; +} + +label { + font-size: 16px; + color: #333; +} + +input[type="number"] { + width: 60px; + padding: 5px; + margin: 10px 5px; + border: 1px solid #ccc; + border-radius: 5px; + font-size: 16px; +} + +button { + padding: 10px 15px; + margin-top: 20px; + font-size: 16px; + color: #fff; + background-color: #007bff; + border: none; + border-radius: 5px; + cursor: pointer; + transition: background-color 0.3s ease; +} +#matrix-form { + display: flex; + align-items: center; + flex-direction: column; + justify-content: center; +} +button:hover { + background-color: #0056b3; +} + +#matrix-input { + margin-top: 20px; +} + +#results { + margin-top: 30px; + background-color: #f9f9f9; + padding: 15px; + border-radius: 10px; + box-shadow: 0 2px 5px rgba(0, 0, 0, 0.1); +} + +#results p { + font-size: 16px; + margin: 10px 0; +} +.value{ + display: flex; + justify-content: space-between; + flex-direction: column; +} +@media screen and (max-width: 530px) { + .container { + width: 70%; + } +} diff --git a/30DaysOfJavaScript/assets/128.png b/30DaysOfJavaScript/assets/128.png new file mode 100644 index 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Game](https://30daysofjs.netlify.app/99%20-%20BlackJack%20Game/) | -| 100 | [Coin Game](https://30daysofjs.netlify.app/166%20-%20Coin%20Game/) | -| 101 | [Bomb Throw Game](https://30daysofjs.netlify.app/164%20-%20Bomb%20Throw%20Game/) | -| 102 | [Minesweeper Game](https://30daysofjs.netlify.app/102%20-%20Minesweeper%20Game/) | -| 103 | [Retro Mario Game](https://30daysofjs.netlify.app/162%20-%20Retro%20Mario%20Game/) | -| 104 | [Catch Me If You Can](https://30daysofjs.netlify.app/104%20-%20Catch%20Me%20If%20You%20Can/) | -| 105 | [Word For Alphabet Speak Aloud](https://30daysofjs.netlify.app/154%20-%20Word%20For%20Alphabet%20Speak%20Aloud/) | -| 106 | [Snowy Particle Js](https://30daysofjs.netlify.app/150%20-%20Snowy%20Particle%20Js/) | -| 107 | [Stack Game](https://30daysofjs.netlify.app/134%20-%20Stack%20Game/) | -| 108 | [Maths addition](https://30daysofjs.netlify.app/108%20-%20Maths%20addition/) | -| 109 | [Number Facts](https://30daysofjs.netlify.app/145%20-%20Number%20Facts/) | -| 110 | [Pixel to em Converter](https://30daysofjs.netlify.app/110%20-%20Pixel%20to%20em%20Converter/) | -| 111 | [Luminosity Particle Js](https://30daysofjs.netlify.app/141%20-%20Luminosity%20Particle%20Js/) | -| 112 | [Maze Game](https://30daysofjs.netlify.app/112%20-%20Maze%20Game/) | -| 113 | [Minesweeper](https://30daysofjs.netlify.app/113%20-%20minesweeper/) | -| 114 | [Movie Guessing Game](https://30daysofjs.netlify.app/114%20-%20Movie%20-%20Guessing%20Game/) | -| 116 | [Shell Game](https://30daysofjs.netlify.app/116%20-%20Shell%20-%20Game/) | -| 124 | [2048 Game](https://30daysofjs.netlify.app/124%20-%202048%20Game/) | -| 125 | [Flappy Bird Game](https://30daysofjs.netlify.app/125%20-%20Flappy%20-%20Bird%20Game/) | -| 126 | [Arcade Game](https://30daysofjs.netlify.app/124%20-%Arcade48%20Game/) +| Day | Name | +| --- | :----------------------------------------------------------------------------------------------------------------------------------: | +| 91 | [Multiply Math Game](https://30daysofjs.netlify.app/167%20-%20Multiply%20Math%20Game/) | +| 92 | [Casio](https://30daysofjs.netlify.app/92%20-%20Casio/) | +| 93 | [Typer](https://30daysofjs.netlify.app/93%20-%20Typer/) | +| 94 | [Word Guess](https://30daysofjs.netlify.app/168%20-%20Word%20Guess/) | +| 95 | [Whack a Mole Game](https://30daysofjs.netlify.app/95%20-%20Whack%20a%20Mole%20Game/) | +| 96 | [Pomodoro Clock](https://30daysofjs.netlify.app/96%20-%20Pomodoro%20Clock/) | +| 97 | [Captcha Generator](https://30daysofjs.netlify.app/97%20-%20Captcha%20Generator/) | +| 98 | [Math Game](https://30daysofjs.netlify.app/172%20-%20Math%20Game/) | +| 99 | [BlackJack Game](https://30daysofjs.netlify.app/99%20-%20BlackJack%20Game/) | +| 100 | [Coin Game](https://30daysofjs.netlify.app/166%20-%20Coin%20Game/) | +| 101 | [Bomb Throw Game](https://30daysofjs.netlify.app/164%20-%20Bomb%20Throw%20Game/) | +| 102 | [Minesweeper Game](https://30daysofjs.netlify.app/102%20-%20Minesweeper%20Game/) | +| 103 | [Retro Mario Game](https://30daysofjs.netlify.app/162%20-%20Retro%20Mario%20Game/) | +| 104 | [Catch Me If You Can](https://30daysofjs.netlify.app/104%20-%20Catch%20Me%20If%20You%20Can/) | +| 105 | [Word For Alphabet Speak Aloud](https://30daysofjs.netlify.app/154%20-%20Word%20For%20Alphabet%20Speak%20Aloud/) | +| 106 | [Snowy Particle Js](https://30daysofjs.netlify.app/150%20-%20Snowy%20Particle%20Js/) | +| 107 | [Stack Game](https://30daysofjs.netlify.app/134%20-%20Stack%20Game/) | +| 108 | [Maths addition](https://30daysofjs.netlify.app/108%20-%20Maths%20addition/) | +| 109 | [Number Facts](https://30daysofjs.netlify.app/145%20-%20Number%20Facts/) | +| 110 | [Pixel to em Converter](https://30daysofjs.netlify.app/110%20-%20Pixel%20to%20em%20Converter/) | +| 111 | [Luminosity Particle Js](https://30daysofjs.netlify.app/141%20-%20Luminosity%20Particle%20Js/) | +| 112 | [Maze Game](https://30daysofjs.netlify.app/112%20-%20Maze%20Game/) | +| 113 | [Minesweeper](https://30daysofjs.netlify.app/113%20-%20minesweeper/) | +| 114 | [Movie Guessing Game](https://30daysofjs.netlify.app/114%20-%20Movie%20-%20Guessing%20Game/) | +| 116 | [Shell Game](https://30daysofjs.netlify.app/116%20-%20Shell%20-%20Game/) | +| 124 | [2048 Game](https://30daysofjs.netlify.app/124%20-%202048%20Game/) | +| 125 | [Flappy Bird Game](https://30daysofjs.netlify.app/125%20-%20Flappy%20-%20Bird%20Game/) | +| 126 | [Arcade Game](https://30daysofjs.netlify.app/124%20-%Arcade48%20Game/) | +| 128 | [Largest EigenValue and EigenVector Calculator](https://30daysofjs.netlify.app/128%20-%20Eigen%20Value%20and%20Vector%20Calculator/) | + diff --git a/index.html b/index.html index 4f0cd479..bb1cf6af 100644 --- a/index.html +++ b/index.html @@ -1935,6 +1935,19 @@

Lights Out

+
+ Largest EigenValue and EigenVector Calculator +

Largest EigenValue and EigenVector Calculator

+ + + + +
+

Enter the dimension of matrix and insert values of the matrix. Find out Largest EigenValue and EigenVector! +

+
+