Extended Math Library · Catswords OSS

The ExtraMath feature is a library that organizes simple mathematical formulas frequently used in the use cases of WelsonJS.

Currently, it supports the following:

Below is an example of utilizing DTM (Document-Term Matrix) and Cosine Similarity using the WelsonJS framework.

var ExtraMath = require("lib/extramath");

var a = "this is an apple";
var b = "this is red apple";

var dtm = new ExtraMath.DTM();
dtm.add(a);
dtm.add(b);
var mat = dtm.toArray();

console.log("Original sentance");
console.log(a);
console.log(b);

console.log("Create a DTM(Document-Term Matrix)");
console.log(mat[0].join(' '));
console.log(mat[1].join(' '));

console.log("Measure Cosine Similarity");
console.log('' + ExtraMath.arrayCos(mat[0], mat[1]));
console.log('' + ExtraMath.measureSimilarity(a, b));

More complex forms of formulas (statistics, integrals, etc.) can utilize the numbers.js library.

"numbers_test": function() {
    // Riemann integrals
    console.log("Test Riemann integrals (with 200 subdivisions)");
    console.log(numbers.calculus.Riemann(Math.sin, -2, 4, 200));

    // Adaptive simpson quadrature
    //console.log("Test Adaptive simpson quadrature (with epsilon .0001)");
    //console.log(numbers.calculus.adaptiveSimpson(Math.sin, -2, 4, .0001));
    
    // User-defined function
    console.log("Test User-defined functions");
    var myFunc = function(x) {
        return 2*Math.pow(x,2) + 1;
    }
    console.log("Test Riemann sum");
    console.log(numbers.calculus.Riemann(myFunc, -2, 4, 200));
    console.log("Test Adaptive Simpson's Rule");
    console.log(numbers.calculus.adaptiveSimpson(myFunc, -2, 4, .0001));
    
    // example array
    var array1 = [0, 1, 2];
    var array2 = [3, 4, 5];
    var array = array1.concat(array2);
    
    // add two matrices
    console.log("Test Add two metrices");
    console.log(JSON.stringify(numbers.matrix.addition(array1, array2)));
    
    // transpose a matrix
    //console.log("Test Transpose a matrix");
    //console.log(JSON.stringify(numbers.matrix.transpose(array)));
    
    // basic check
    var number = 3;   // number

    console.log("Test Prime Number Check (Simple test)");
    console.log(numbers.prime.simple(number));

    // Miller-Rabin primality test
    console.log("Test Prime Number Check (Miller-Rabin primality test)");
    console.log(numbers.prime.millerRabin(number));

    // mean, median, mode, standard deviation, random sample generator, correlation, confidence intervals, t-test, chi-square, and more.
    console.log("Test mean, median, mode, standard deviation, random sample generator, correlation, confidence intervals, t-test, chi-square, and more.");
    console.log(numbers.statistic.mean(array));
    console.log(numbers.statistic.median(array));
    console.log(numbers.statistic.mode(array));
    console.log(numbers.statistic.standardDev(array));
    //console.log(numbers.statistic.randomSample(100, 100, 20));
    console.log(numbers.statistic.correlation(array1, array2));
},

You can also find this example in the testloader.js file.