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https://github.com/jlmakes/rematrix

Matrix transformations made easy.
https://github.com/jlmakes/rematrix
css javascript matrix transform
Last synced: 6 days ago
JSON representation
Matrix transformations made easy.
Host: GitHub
URL: https://github.com/jlmakes/rematrix
Owner: jlmakes
License: mit
Created: 2017-05-24T22:43:13.000Z (over 7 years ago)
Default Branch: master
Last Pushed: 2022-02-07T07:19:30.000Z (almost 3 years ago)
Last Synced: 2024-05-17T20:03:32.980Z (6 months ago)
Topics: css, javascript, matrix, transform
Language: JavaScript
Homepage: https://rematrix.now.sh/
Size: 154 KB
Stars: 425
Watchers: 6
Forks: 13
Open Issues: 6
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- License: LICENSE
Awesome Lists containing this project

README

        
 

# Rematrix

Matrix transformations made easy.



	

	

	

	

    	

	









# Introduction

Imagine a HTML element that may have a CSS transform applied. If we want to add 45° of Z-rotation, we have no way to handle this safely in CSS—we’d just risk overwriting an existing transform. So we decide to use JavaScript, and check the current transform...

`getComputedStyle(element)` returns the computed styles, and inspecting the `transform` property shows:

```js

'matrix3d(0.707107, 0.707107, 0, 0, -0.707107, 0.707107, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1)'

```

It’s here we discover that browsers actually use [transformation matrices](https://en.wikipedia.org/wiki/Transformation_matrix) under the hood to describe rotation, translation, scale and shear. This means if we wish to manage CSS transforms with JavaScript (without overwriting existing transformations), we’re stuck working with matrices.

**Rematrix** is an easy way to create and combine matrix transformations that work seamlessly with CSS.




# Installation

## Browser

A simple and fast way to get started is to include this script on your page:

```html

```

> If you use this method in production, be sure to specify a fixed version number, and use the minified distribution; e.g: `https://unpkg.com/[email protected]/dist/rematrix.min.js`. This improves performance, but also prevents library changes from impacting your project.

This will create the global variable `Rematrix`.

## Module

```bash

npm install rematrix

```

#### CommonJS

```js

const Rematrix = require('rematrix')

```

#### ES2015

```js

import * as Rematrix from 'rematrix'

```







# Guide

## Creating Transforms

Most API methods look a lot like CSS, so for example, in CSS if we would write `transform: rotateZ(45deg)`, we can create the same transformation in JavaScript using Rematrix like this:

```js

Rematrix.rotateZ(45)

```

This returns a 45° rotation along the Z-axis, represented as an array of 16 values:

```js

[0.707107, 0.707107, 0, 0, -0.707107, 0.707107, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]

```

These 16 values represent our **transformation matrix** in [column-major order](https://developer.mozilla.org/en-US/docs/Web/CSS/transform-function/matrix3d).




## Combining Transforms (Using Multiplication)

Where Rematrix really outshines CSS, is the ability to combine transforms — using **matrix multiplication**. We’ll recreate the same 45° rotation along the Z-axis, but using separate matrices this time:

```js

let r1 = Rematrix.rotateZ(20)

let r2 = Rematrix.rotateZ(25)

let product = Rematrix.multiply(r1, r2)

```

Here `product` describes the same array of 16 values (seen above):

```js

[0.707107, 0.707107, 0, 0, -0.707107, 0.707107, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1]

```

#### Better Multiplication (Using Reduce)

There’s a good chance we’ll need to multiply quite a few matrices together, so its helpful to store them in an array in order to use `Array.prototype.reduce` to multiply them all in one line:

```js

let r1 = Rematrix.rotateZ(20)

let r2 = Rematrix.rotateZ(65)

let r3 = Rematrix.rotateZ(-40)

let product = [r1, r2, r3].reduce(Rematrix.multiply)

```

> Order is important. For example, rotating 45° along the Z-axis, followed by translating 500 pixels along the Y-axis... is not the same as translating 500 pixels along the Y-axis, followed by rotating 45° along on the Z-axis.

## Preserving Transforms

Before applying any of our transforms, we should capture the existing transform of our element using `Rematrix.fromString()`, e.g:

```js

let element = document.querySelector('#example')

let style = getComputedStyle(element).transform

let transform = Rematrix.fromString(style)

let r1 = Rematrix.rotateZ(20)

let r2 = Rematrix.rotateZ(65)

let r3 = Rematrix.rotateZ(-40)

let product = [transform, r1, r2, r3].reduce(Rematrix.multiply)

```

By passing the computed transform styles to `Rematrix.fromString()`, we create a matrix of the existing transform. We can now factor this into our multiplication.

> The existing transformation has been _deliberately_ placed at the start of the array to ensure the computed transform is the foundation for the succeeding transformations.

## Applying Transforms

We can turn our matrix into valid CSS using `Rematrix.toString()`, which we can apply to our element’s style, e.g:

```js

element.style.transform = Rematrix.toString(product)

```

#### _And that concludes this introduction to Rematrix. Please explore the finished [Live Demo on JSFiddle](https://jsfiddle.net/ufrLymvo/)._









# API Reference

* [format(source)](#Rematrix.format)

* [fromString(source)](#Rematrix.fromString)

* [identity()](#Rematrix.identity)

* [inverse(source)](#Rematrix.inverse)

* [multiply(matrixA, matrixB)](#Rematrix.multiply)

* [perspective(distance)](#Rematrix.perspective)

* [rotate(angle)](#Rematrix.rotate)

* [rotateX(angle)](#Rematrix.rotateX)

* [rotateY(angle)](#Rematrix.rotateY)

* [rotateZ(angle)](#Rematrix.rotateZ)

* [scale(scalar, [scalarY])](#Rematrix.scale)

* [scaleX(scalar)](#Rematrix.scaleX)

* [scaleY(scalar)](#Rematrix.scaleY)

* [scaleZ(scalar)](#Rematrix.scaleZ)

* [skew(angleX, [angleY])](#Rematrix.skew)

* [skewX(angle)](#Rematrix.skewX)

* [skewY(angle)](#Rematrix.skewY)

* [toString(source)](#Rematrix.toString)

* [translate(distanceX, [distanceY])](#Rematrix.translate)

* [translate3d(distanceX, distanceY, distanceZ)](#Rematrix.translate3d)

* [translateX(distance)](#Rematrix.translateX)

* [translateY(distance)](#Rematrix.translateY)

* [translateZ(distance)](#Rematrix.translateZ)






### format(source) ⇒ `number[]`

Transformation matrices in the browser come in two flavors:

* `matrix` using 6 values (short)

* `matrix3d` using 16 values (long)

This utility follows this [conversion guide](https://goo.gl/EJlUQ1)

to expand short form matrices to their equivalent long form.

| Param  | Description                      |

| ------ | -------------------------------- |

| source | A `number[]` with length 6 or 16 |






### fromString(source) ⇒ `number[]`

Converts a CSS Transform to array.

| Param  | Description                                                    |

| ------ | -------------------------------------------------------------- |

| source | A `string` containing a `matrix` or `matrix3d` property value. |






### identity() ⇒ `number[]`

Returns a matrix representing no transformation. The product of any matrix

multiplied by the identity matrix will be the original matrix.

> **Tip:** Similar to how `5 * 1 === 5`, where `1` is the identity.






### inverse(source) ⇒ `number[]`

Returns a matrix representing the inverse transformation of the source

matrix. The product of any matrix multiplied by its inverse will be the

identity matrix.

> **Tip:** Similar to how `5 * (1/5) === 1`, where `1/5` is the inverse.

| Param  | Description                      |

| ------ | -------------------------------- |

| source | A `number[]` with length 6 or 16 |






### multiply(matrixA, matrixB) ⇒ `number[]`

Returns a matrix representing the combined transformations

of both arguments.

> **Note:** Order is important. For example, rotating 45° along the Z-axis,

> followed by translating 500 pixels along the Y-axis...

> Is not the same as translating 500 pixels along the Y-axis,

> followed by rotating 45° along on the Z-axis.

| Param   | Description                      |

| ------- | -------------------------------- |

| matrixA | A `number[]` with length 6 or 16 |

| matrixB | A `number[]` with length 6 or 16 |






### perspective(distance) ⇒ `number[]`

Returns a matrix representing perspective.

| Param    | Description                    |

| -------- | ------------------------------ |

| distance | A `number` measured in pixels. |






### rotate(angle) ⇒ `number[]`

Returns a matrix representing Z-axis rotation.

> **Tip:** This is just an alias for `Rematrix.rotateZ` for parity with CSS

| Param | Description                     |

| ----- | ------------------------------- |

| angle | A `number` measured in degrees. |






### rotateX(angle) ⇒ `number[]`

Returns a matrix representing X-axis rotation.

| Param | Description                     |

| ----- | ------------------------------- |

| angle | A `number` measured in degrees. |






### rotateY(angle) ⇒ `number[]`

Returns a matrix representing Y-axis rotation.

| Param | Description                     |

| ----- | ------------------------------- |

| angle | A `number` measured in degrees. |






### rotateZ(angle) ⇒ `number[]`

Returns a matrix representing Z-axis rotation.

| Param | Description                     |

| ----- | ------------------------------- |

| angle | A `number` measured in degrees. |






### scale(scalar, [scalarY]) ⇒ `number[]`

Returns a matrix representing 2D scaling. The first argument

is used for both X and Y-axis scaling, unless an optional

second argument is provided to explicitly define Y-axis scaling.

| Param     | Description                               |

| --------- | ----------------------------------------- |

| scalar    | A `number` decimal multiplier.            |

| [scalarY] | A `number` decimal multiplier. (Optional) |






### scaleX(scalar) ⇒ `number[]`

Returns a matrix representing X-axis scaling.

| Param  | Description                    |

| ------ | ------------------------------ |

| scalar | A `number` decimal multiplier. |






### scaleY(scalar) ⇒ `number[]`

Returns a matrix representing Y-axis scaling.

| Param  | Description                    |

| ------ | ------------------------------ |

| scalar | A `number` decimal multiplier. |






### scaleZ(scalar) ⇒ `number[]`

Returns a matrix representing Z-axis scaling.

| Param  | Description                    |

| ------ | ------------------------------ |

| scalar | A `number` decimal multiplier. |






### skew(angleX, [angleY]) ⇒ `number[]`

Returns a matrix representing shear. The first argument

defines X-axis shearing, and an optional second argument

defines Y-axis shearing.

| Param    | Description                                |

| -------- | ------------------------------------------ |

| angleX   | A `number` measured in degrees.            |

| [angleY] | A `number` measured in degrees. (Optional) |






### skewX(angle) ⇒ `number[]`

Returns a matrix representing X-axis shear.

| Param | Description                     |

| ----- | ------------------------------- |

| angle | A `number` measured in degrees. |






### skewY(angle) ⇒ `number[]`

Returns a matrix representing Y-axis shear.

| Param | Description                     |

| ----- | ------------------------------- |

| angle | A `number` measured in degrees. |






### toString(source) ⇒ `string`

Returns a CSS Transform property value equivalent to the source matrix.

| Param  | Description                      |

| ------ | -------------------------------- |

| source | A `number[]` with length 6 or 16 |






### translate(distanceX, [distanceY]) ⇒ `number[]`

Returns a matrix representing 2D translation. The first

argument defines X-axis translation, and an optional second

argument defines Y-axis translation.

| Param       | Description                               |

| ----------- | ----------------------------------------- |

| distanceX   | A `number` measured in pixels.            |

| [distanceY] | A `number` measured in pixels. (Optional) |






### translate3d(distanceX, distanceY, distanceZ) ⇒ `number[]`

Returns a matrix representing 3D translation. The first

argument defines X-axis translation, the second argument defines Y-axis

translation, and the third argument defines Z-axis translation.

| Param     | Description                    |

| ----------| ------------------------------ |

| distanceX | A `number` measured in pixels. |

| distanceY | A `number` measured in pixels. |

| distanceZ | A `number` measured in pixels. |






### translateX(distance) ⇒ `number[]`

Returns a matrix representing X-axis translation.

| Param    | Description                    |

| -------- | ------------------------------ |

| distance | A `number` measured in pixels. |






### translateY(distance) ⇒ `number[]`

Returns a matrix representing Y-axis translation.

| Param    | Description                    |

| -------- | ------------------------------ |

| distance | A `number` measured in pixels. |






### translateZ(distance) ⇒ `number[]`

Returns a matrix representing Z-axis translation.

| Param    | Description                    |

| -------- | ------------------------------ |

| distance | A `number` measured in pixels. |







---

Copyright 2021 Julian Lloyd.




Open source under the [MIT License](https://github.com/jlmakes/rematrix/blob/master/LICENSE).