konpeito

"konpeito" is a library to "compute". :)

What

• The library for math calculations.
• When calculating, use method chain.
• Coding in ES6, and published ES6 modules and UMD.
• API reference is complete.

Features

This library has 4 functions.

• BigInteger
• BigDecimal
• Fraction
• Matrix

Has the following features.

• BigDecimal and Fraction are constructed by BigInteger.
• Matrix is constructed by array of Complex.
• Matrix can't use huge real numbers like BigInteger or BigDecimal, but they are powerful. Initialization can be described as Scilab, Octave, MATLAB.
• Does not support sparse matrix.

Please check the console and main.mjs.

• BigDecimal
• BigInteger
• Matrix
• UMD

Install for node.js

1. This library can be installed using npm.

npm install konpeito

2. Then you can include it in your code:

var konpeito = require("konpeito");

If you want to use in the ES6 module, please execute with the following command.

node --experimental-modules main.mjs

Install for browser

1. Download the zip by GitHub.

2. Please use mjs file when using ES6 modules. And use js file when using UMD.

• ./build/konpeito.esm.min.js
• ./build/konpeito.umd.min.js

with ES6 module.

<script type="module" src="./main.mjs" charset="utf-8"></script>

with UMD

<script src="./konpeito.umd.min.js" charset="utf-8"></script>
<script src="./main.js" charset="utf-8"></script>

Repository

• https://github.com/natade-jp/konpeito.git

Sample

BigInteger

• A calculation class for arbitrary-precision integer arithmetic.
• BigInt of ES2019 is not used.

const konpeito = require("konpeito");
const BigInteger = konpeito.BigInteger;
const $ = BigInteger.create;

console.log($("-1234567890").mul("987654321098765432109876543210").toString());
> -1219326311248285321124828532111263526900

console.log($("7").pow("50").toString());
> 1798465042647412146620280340569649349251249

BigDecimal

• A calculation class for arbitrary-precision floating point arithmetic.
• The calculation uses the BigInteger.

const konpeito = require("konpeito");
const BigDecimal = konpeito.BigDecimal;
const MathContext = konpeito.MathContext;
const $ = BigDecimal.create;

BigDecimal.setDefaultContext(MathContext.UNLIMITED);
console.log($("-123456.7890").mul("987654321098765.432109876543210").toString());
> -121932631124828532112.4828532111263526900

Fraction

• A calculation class for fractions with infinite precision.
• The calculation uses the BigInteger.

const konpeito = require("konpeito");
const Fraction = konpeito.Fraction;
const $ = Fraction.create;

console.log($("1/3").add("0.(3)").mul(10).toString());
> 20 / 3

Matrix

• Matrix is a general-purpose calculation class with signal processing and statistical processing.
• The calculation uses the Complex.
• Some methods do not support complex arithmetic.

const konpeito = require("konpeito");
const Matrix = konpeito.Matrix;
const $ = Matrix.create;

console.log($("[1 2;3 4;5 6]").toString());
>
 1  2
 3  4
 5  6
const USV = $("[1 2;3 4;5 6]").svd();
console.log(USV.U.toString());
> 
 0.2298 -0.8835  0.4082
 0.5247 -0.2408 -0.8165
 0.8196  0.4019  0.4082
console.log(USV.S.toString());
> 
 9.5255  0.0000
 0.0000  0.5143
 0.0000  0.0000
console.log(USV.V.toString());
> 
 0.7849  0.6196
-0.6196  0.7849
console.log(USV.U.mul(USV.S).mul(USV.V.T()).toString());
> 
 1.0000  2.0000
 3.0000  4.0000
 5.0000  6.0000

console.log($("[1+j 2-3j -3 -4]").fft().toString());
> -4.0000 - 2.0000i  1.0000 - 5.0000i  0.0000 + 4.0000i  7.0000 + 7.0000i

console.log($("[1 2 30]").dct().toString());
> 19.0526 -20.5061  11.0227