math-tools.js

======= MathTools - is a javascript/node.js module providing some advanced mathematics functionalities.

Installation

npm install math-tools

For the browser, you can install with bower:

bower install math-tools

Importing

nodejs

var mathTools = require('math-tools');

browser

<script src="math-tools.js"></script>

API Documentation

A standard import of var mathTools = require('math-tools') is assumed in all of the code examples. The import results in an object having the following public properties:

• isNumber - a function that checks if the given value is a number.
• isArray - a function that checks if the given value is an array.
• isObject - a function that checks if the given value is an object.
• isInteger - a function that checks if the given number is an integer.
• isPrime - determine whether a number n is prime.
• sum - determine the sum of a set of numbers.
• subtraction - subtracts elements from one another in array.
• product - determine the product of a set of numbers.
• avg - calculate the average value of a set of numbers in array.
• factorial - determine the factorial (n!) of a number n.
• fibonacci - a function that generates the fibonacci numbers up to a number n.
• gcd - determine the greastest common divisor amongst two integers.
• lcm - determine the least common multiple amongst two integers.
• standardDeviation - determine the standard deviation for a set of values.
• adaptiveSimpsonQuadrature - calculate integral of a function from a to b using adaptive simpson quadrature.
• trapezoidal - calculate integral of a function from a to b using trapezoidal rule.

Examples

• isPrime: Determine whether a number n is prime.

  console.log(mathTools.isPrime(16)); // false
  console.log(mathTools.isPrime(17)); // true

• sum: Determine the sum of a set of numbers.

  var s1 = mathTools.sum([1,2,3]);
  var s2 = mathTools.sum([{a: 1},{b: 2},{a: 3}], 'a');
  console.log(s1); // 6
  console.log(s2); // 4

• subtraction: Subtracts elements from one another in array.

  var s1 = mathTools.subtraction([1,2,3]);
  var s2 = mathTools.subtraction([{a: 1},{b: 2},{a: 3}], 'a');
  console.log(s1); // -4
  console.log(s2); // -2

• product: Determine the product of a set of numbers.

  var p1 = mathTools.product([1,2,3]);
  var p2 = mathTools.product([{a: 1},{b: 2},{a: 3}], 'a');
  console.log(p1); // 6
  console.log(p2); // 3

• avg: Calculate the average value of a set of numbers in array.

  console.log(mathTools.avg([1,2,3,4,5])); // 3

• factorial: Determine the factorial (n!) of a number n.

  console.log(mathTools.factorial(5)); // 120

• fibonacci: Generates n fibonacci numbers.

  console.log(mathTools.fibonacci(5)); // [0, 1, 1, 2, 3]
  console.log(mathTools.fibonacci(12)); // [0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89]

• gcd: Calculate the greastest common divisor amongst two integers.

  console.log(mathTools.gcd(6,9)); // 3

• lcm: Calculate the least common multiple amongst two integers.

  console.log(mathTools.gcd([6,9])); // 18

• standardDeviation: Determine the standard deviation for a set of values.

  console.log(mathTools.standardDeviation([2,3,4,5])); // 1.118033988749895

• adaptiveSimpson: Calculate integral of a function from a to b using adaptive simpson quadrature.

  	
    var myFunc = function(x) {
    	return 2 * x + 1;
    };
  	
  	console.log(adaptiveQuadrature(myFunc, 1, 2)); // 4

• trapezoidal: Calculate integral of a function from a to b using Trapezoidal rule with n subintervals. By default, the value of subintervals is 200.

  	
    var myFunc = function(x) {
    	return 2 * x + 1;
    };
  	
    console.log(trapezoidRule(myFunc, 1, 2, 200)); // 4