MathSass

A Sass implementation of mathematical functions.

Install

Git

git clone git@github.com:terkel/mathsass.git && cd mathsass

Bower

bower install mathsass --save-dev

npm

npm install mathsass --save-dev

Usage

Import dist/_math.scss partial to the Sass document.

@import "path/to/dist/math";

.content {
    height: 200px;
    width: 200px / tan(60deg); // 115.47005px
}

If you installed via Npm the path will be: node_modules/mathsass/dist/math

If you installed via Bower the path will be: bower_components/mathsass/dist/math

Features

Constants

• $E - Euler's constant (ネイピア数 [オイラー数])
• $PI - π (円周率)
• $LN2 - The natural logarithm of 2 (2 の自然対数)
• $SQRT2 - The square root of 2 (2 の平方根)

Functions

Exponentiation

• pow($base, $exp)

@debug pow(4, 2);   // 16
@debug pow(4, -2);  // 0.0625
@debug pow(4, 0.2); // 1.31951

Factorial

• fact($x)

@debug fact(4); // 24
@debug fact(8); // 40320

Square root

• sqrt($x)

@debug sqrt(2); // 1.41421
@debug sqrt(3); // 1.73205

Exponential function

• exp($x)
• frexp($x)
• ldexp($x, $exp)

@debug exp(-1); // 0.36788
@debug exp(0);  // 1
@debug exp(1);  // 2.71828

Logarithms

• log($x, $b: null)

@debug log(2);     // 0.69315
@debug log(10);    // 2.30259
@debug log(2, 10); // 0.30103

Trigonometric functions

• sin($x) - Sine (正弦)
• cos($x) - Cosine (余弦)
• tan($x) - Tangent (正接)
• csc($x) - Cosecant (余割)
• sec($x) - Secant (正割)
• cot($x) - Cotangent (余接)

If argument has deg unit, converted to rad.

@debug tan(0.5236); // 0.57735
@debug tan(30deg);  // 0.57735

Inverse trigonometric functions

• asin($x) - Arcsine (逆正弦)
• acos($x) - Arccosine (逆余弦)
• atan($x) - Arctangent (逆正接)
• atan2($y, $x) - Arctangent of the quotient of its arguments (引数の比率での逆正接)

@debug atan2(0, 0);       // 0
@debug atan2(0, -0.0);    // 3.14159
@debug atan2(-0.0, 0);    // 0
@debug atan2(-0.0, -0.0); // -3.14159

Greatest common divisor and least common multiple

• gcd($a, $b) - Greatest common divisor (最大公約数)
• lcm($a, $b) - Least common multiple (最小公倍数)

@debug gcd(54, 24); // 6
@debug lcm(30, 42); // 210

Helper functions

• strip-unit($number)
• deg-to-rad($deg, $unit: true)
• rad-to-deg($rad, $unit: true)
• unitless-rad($angle)

@debug rad-to-deg(1.0472);       // 60.00014deg
@debug deg-to-rad(60deg);        // 1.0472rad
@debug deg-to-rad(60deg, false); // 1.0472
@debug unitless-rad(60deg);      // 1.0472
@debug unitless-rad(1.0472rad);  // 1.0472

References

• adambom/Sass-Math · GitHub
• Team-Sass/Sassy-math · GitHub
• Math - JavaScript | MDN
• 404 Blog Not Found:javascript - Mathを再発明してみた
• C言語による最新アルゴリズム事典

…and Wikipedia articles:

• Exponentiation, 冪乗 (累乗)
• Factorial, 階乗
• Square root, 平方根
• Exponential function, 指数関数
• Logarithm, 対数
• Trigonometric functions, 三角関数
• Inverse trigonometric functions, 逆三角関数
• Greatest common divisor, 最大公約数
• Least common multiple, 最小公倍数
• Degree (angle), 度 (角度)
• Radian, ラジアン

Contributing

Make sure you have node.js and grunt installed.

Clone Repository

git clone git@github.com:terkel/mathsass.git

Install Dependencies

npm install

Run Sass/Tests

grunt

Credits

Originally created with help from @kaminaly and @pilssalgi.

License

Copyright (c) 2013 Takeru Suzuki Licensed under the MIT license.