mathjs
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Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser and offers an integrated solution to work with numbers, big numbers, complex numbers, units, and matrices.
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JavaScript
/**
* Math.js can easily be extended with functions and variables using the
* `import` function. The function `import` accepts a module name or an object
* containing functions and variables.
*/
// load math.js and create an instance
var mathjs = require('../index'),
math = mathjs();
/**
* Helper function to output a value in the console. Value will be formatted.
* @param {*} value
*/
function print (value) {
var precision = 5;
console.log(math.format(value, precision));
}
/**
* Define new functions and variables
*/
math.import({
myConstant: 42,
hello: function (name) {
return 'hello, ' + name + '!';
}
});
// defined methods can be used in both JavaScript as well as the parser
print(math.myConstant * 2); // 84
print(math.hello('user')); // 'hello, user!'
print(math.eval('myConstant + 10')); // 52
print(math.eval('hello("user")')); // 'hello, user!'
/**
* Import the math library numbers.js, https://github.com/sjkaliski/numbers.js
* The library must be installed first using npm:
* npm install numbers
*/
try {
// import the numbers.js library into math.js
math.import('numbers');
}
catch (err) {
console.log('Warning: to import numbers.js, the library must\n' +
'be installed first via `npm install numbers`.');
}
if (math.fibonacci) {
// calculate fibonacci
print(math.fibonacci(7)); // 13
print(math.eval('fibonacci(7)')); // 13
}
/**
* Import the math library numeric.js, http://numericjs.com/
* The library must be installed first using npm:
* npm install numeric
*/
try {
// import the numeric.js library into math.js
math.import('numeric');
}
catch (err) {
console.log('Warning: to import numeric.js, the library must\n' +
'be installed first via `npm install numeric`.');
}
if (math.eig) {
// calculate eigenvalues of a matrix
print(math.eval('eig([1, 2; 4, 3])').lambda.x); // [5, -1];
// solve AX = b
var A = math.eval('[1, 2, 3; 2, -1, 1; 3, 0, -1]');
var b = [9, 8, 3];
print(math.solve(A, b)); // [2, -1, 3]
}
/**
* By default, the function import does not allow overriding existing functions.
* Existing functions can be overridden by specifying option `override=true`
*/
math.import({
pi: 3.14
}, {
override: true
});
print(math.pi); // returns 3.14 instead of 3.141592653589793