Mathp

Math utility for node

Installing and testing

With npm do:

npm install mathp

To run the test suite, clone the repository and run the following command from the root directory:

npm test

Features

• Can be used as a drop-in replacement for the Math object.
• Provide implementations of missing ES6 methods.
• Doesn't modify the actual Math object.
• Doesn't modify the Number prototype or rely on boxing of any kind.
• Works in Titanium.
• Supports deep requires for low footprint in browserify projects.

Current methods

Polyfills

• acosh(value)
• asinh(value)
• atanh(value)
• cbrt(value)
• clz32(value)
• cosh(value)
• fround(value)
• hypot(value1, value2, ...)
• imul(value1, value2)
• log1p(value)
• log10(value)
• log2(value)
• sign(value)
• sinh(value)
• tanh(value)
• trunc(value)

All polyfills are tested with mocha+chai against the specifications described by the 25th revision of the draft for the 6th Edition of the ECMAScript Language to ensure optimal compliance.

Additional methods

General

• sign1(value)
• copySign(value, sign)
• lerp(value1, value2, ratio)
• limit(value, min, max)
• scale(value, origMin, origMax, destMin, destMax)
• factorial(value)
• step(edge, value)
• smoothstep(min, max, value)
• smootherstep(min, max, value)
• roundToPrecision(number, precision)
• euclideanModulo(dividend, divisor)
• flooredModulo(dividend, divisor)
• truncatedModulo(dividend, divisor)
• fract(value)

Distance

• euclideanDistance(x1, y1, x2, y2) : Euclidean distance
• euclideanDistance3(x1, y1, z1, x2, y2, z2) : Euclidean distance for 3 dimensions
• euclideanDistanceN(point1, point2) : Euclidean distance for N dimension(s)
• manhattanDistance(x1, y1, x2, y2) : Manhattan distance
• manhattanDistance3(x1, y1, z1, x2, y2, z2) : Manhattan distance for 3 dimensions
• manhattanDistanceN(point1, point2) : Manhattan distance for N dimension(s)
• chebyshevDistance(x1, y1, x2, y2) : Chebyshev distance
• chebyshevDistance3(x1, y1, z1, x2, y2, z2) : Chebyshev distance for 3 dimensions
• chebyshevDistanceN(point1, point2) : Chebyshev distance for N dimension(s)
• minkowskiDistance(x1, y1, x2, y2, p) : Minkowski distance
• minkowskiDistance3(x1, y1, z1, x2, y2, z2) : Minkowski distance for 3 dimensions
• minkowskiDistanceN(point1, point2, p) : Minkowski distance for N dimension(s)

Trigonometry

• sinc(value)
• sec(value)
• csc(value)
• cot(value)
• asec(value)
• acsc(value)
• acot(value)
• sech(value)
• csch(value)
• coth(value)
• asech(value)
• acsch(value)
• acoth(value)

Conversion

• toDegrees(radians)
• toRadians(degrees)

Mean

• rms(arrayOfValues) : Root mean square
• amean(arrayOfValues) : Arithmetic mean
• gmean(arrayOfValues) : Geometric mean
• hmean(arrayOfValues) : Harmonic mean
• median(arrayOfValues)

Checks

• isNaN(value)
• isZero(value)
• isNegativeZero(value)
• isPositiveZero(value)
• isFinite(value)
• isInfinity(value)
• isNegativeInfinity(value)
• isPositiveInfinity(value)
• isInteger(value)
• isSafeInteger(value)

Extras

• wshaper(value, min, max, shape)

Examples

Basic usage

var mathp = require('mathp');

var taxiDist = mathp.manhattanDistance(0, 0, 12, 15);
var cos120degree = Math.cos(mathp.toRadians(120));

Replacing the native Math object

var Math = require('mathp');

var taxiDist = Math.manhattanDistance(0, 0, 12, 15);
var cos120degree = Math.cos(Math.toRadians(120));

With deep requires

var manhattanDistance = require('mathp/functions/manhattanDistance')),
    toRandians = require('mathp/functions/toRadians'));

var taxiDist = manhattanDistance(0, 0, 12, 15);
var cos120degree = Math.cos(toRadians(120));

Projects using deep requires will only include the code they actually need whe bundled with browserify instead of the whole module.

Potential use cases

• Generative art.
• Procedural heightmap / world generation.
• Anything that may benefit from some maths, and a lot of things do.

Changelog

1.5.0 (2015.10.16) :

• New implementation : fract.
• Remove the test folder from the package downloaded from npm.
• Updated dev dependencies.
• Added automatic tests on the latest stable version of Node.js Travis.
• Removed automatic tests on Node.js 0.10.x and iojs via Travis.

1.4.0 (2015.05.06) :

• New implementations : euclideanDistance3, manhattanDistance3, chebyshevDistance3 and minkowskiDistance3 (much faster than the generic N dimensions functions).

1.3.2 (2015.03.28) :

• Terseness refactor.

1.3.1 (2015.02.28) :

• Add .editorconfig file.
• Removed the builds and other unecessary files from the package downloaded from npm.
• Updated dev dependencies.
• Added automatic tests on Node.js 0.12.x and io.js via Travis.
• Removed automatic tests on Node.js 0.11.x via Travis.

1.3.0 (2015.02.03) :

• New implementations : isInteger, isSafeInteger.

Full history

Roadmap

• Write better doc.

Acknowledgement

Most ES6 polyfills are taken from MDN where they were contributed by Mozilla Contributors under the Creative Commons CC-0 license (public domain). Minor improvements of said polyfills were contributed back to MDN.

License

MIT