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Manipulate transformation matrices with this totally tested library!\n\n[![chrvadala](https://img.shields.io/badge/website-chrvadala-orange.svg)](https://chrvadala.github.io)\n[![Donate](https://img.shields.io/badge/donate-Paypal-lightgrey.svg)](https://www.paypal.com/paypalme/chrvadala/15)\n\n[![Test](https://github.com/chrvadala/transformation-matrix/actions/workflows/test.yml/badge.svg?branch=main)](https://github.com/chrvadala/transformation-matrix/actions/workflows/test.yml)\n[![Coverage Status](https://coveralls.io/repos/github/chrvadala/transformation-matrix/badge.svg?branch=master)](https://coveralls.io/github/chrvadala/transformation-matrix?branch=master)\n[![npm](https://img.shields.io/npm/v/transformation-matrix.svg?maxAge=2592000?style=plastic)](https://www.npmjs.com/package/transformation-matrix)\n[![Downloads](https://img.shields.io/npm/dm/transformation-matrix.svg)](https://www.npmjs.com/package/transformation-matrix)\n\n# Features \nTransformations, i.e. *linear invertible automorphisms*, are used to map a picture into another one with different size, position and orientation. Given a basis, transformations are represented by means of squared invertible matrices, called **transformation matrices**.\nA geometric transformation is defined as a one-to-one mapping of a point space to itself, which preservers some geometric relations of figures. - [Geometric Programming for Computer Aided Design](https://books.google.it/books?vid=ISBN9780471899426)\n\nThis library allows us to:\n- generate transformation matrices for the following operations: **translation**, **rotation**, **scale**, **shear**, **skew**\n- merge multiple transformation matrices in a single matrix that is the **composition of multiple matrices**\n- work with strings in both directions: **parse**, **render**\n- **apply a transformation matrix to point(s)**\n- **decompose a matrix into translation, scaling and rotation components, with flip decomposition support**\n\n# Documentation\n- [How to handle gestures with transformation-matrix](https://github.com/chrvadala/transformation-matrix/blob/main/docs/gestures.md)\n- [APIs](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md)\n  - Basic Operations\n    - [`identity()`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#identity)\n    - [`flipX()`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#flipX)\n    - [`flipY()`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#flipY)\n    - [`flipOrigin()`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#flipOrigin)\n    - [`rotate(angle, [cx], [cy])`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#rotate)\n    - [`rotateDEG(angle, [cx], [cy])`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#rotateDEG)\n    - [`scale(sx, [sy], [cx], [cy])`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#scale)\n    - [`shear(shx, shy)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#shear)\n    - [`skew(ax, ay)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#skew)\n    - [`skewDEG(ax, ay)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#skewDEG)\n    - [`smoothMatrix(matrix, [precision])`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#smoothMatrix)\n    - [`translate(tx, [ty])`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#translate)\n    - [`inverse(matrix)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#inverse)\n\n  - Calculate\n    - [`fromDefinition(definitionOrArrayOfDefinition)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromDefinition)\n    - [`fromObject(object)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromObject)\n    - [`fromString(string)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromString)\n    - [`fromTransformAttribute(transformString)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromTransformAttribute)\n    - [`fromTriangles(t1, t2)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromTriangles)\n\n  - Validate\n    - [`isAffineMatrix(object)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#isAffineMatrix)\n\n  - Apply\n    - [`applyToPoint(matrix, point)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#applyToPoint)\n    - [`applyToPoints(matrix, points)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#applyToPoints)\n\n  - Stringify\n    - [`toCSS(matrix)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#toCSS)\n    - [`toSVG(matrix)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#toSVG)\n    - [`toString(matrix)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#toString)\n\n  - Compose\n    - [`transform(matrices)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#transform)\n    - [`compose(matrices)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#compose)\n\n  - Decompose\n    - [`decomposeTSR(matrix, flipX, flipY)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#decomposeTSR)\n\n  - Moving points (gestures)\n    - [`fromOneMovingPoint (startingPoint, endingPoint)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromonemovingpointstartingpoint-endingpoint)\n    - [`fromTwoMovingPoints (startingPoint1, startingPoint2, endingPoint1, endingPoint2)`](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md#fromTwoMovingPoints)\n\n# Install\n```sh\nnpm install transformation-matrix\n```\nor\n```html\n<script src=\"https://unpkg.com/transformation-matrix@2\"></script>\n```\n\n# Example\n```js\nimport {scale, rotate, translate, compose, applyToPoint} from 'transformation-matrix';\nlet {scale, rotate, translate, compose, applyToPoint} = window.TransformationMatrix;\nlet {scale, rotate, translate, compose, applyToPoint} = require('transformation-matrix')\n\nlet matrix = compose(\n  translate(40,40),\n  rotate(Math.PI/2),\n  scale(2, 4)\n);\n\napplyToPoint(matrix, {x: 42, y: 42});\n// { x: -128, y: 124.00000000000001 }\n\napplyToPoint(matrix, [16, 24]);\n//  [ -56, 72 ]\n```\n\n# Changelog\n- **0.0** - Preview version\n- **1.0** - First public version\n- **1.1** - Splits lib into different files\n- **1.2** - Adds shear operation\n- **1.3** - Adds umd support\n- **1.4** - Adds typescript definitions\n- **1.5** - Upgrades deps\n- **1.6** - Adds optional parameter support on `translate(tx)`, `scale(sx)`, `rotate(angle, cx, cy)`\n- **1.7** - Upgrades deps\n- **1.8** - Fixes [#12](https://github.com/chrvadala/transformation-matrix/issues/12), Adds `fromTransformAttribute`, Discontinues node 4 support\n- **1.9** - Adds `skew(ax, ay)`, Upgrades deps, Improves `fromTransformAttribute`\n- **1.10**- Updates typescript definitions [#15](https://github.com/chrvadala/transformation-matrix/pull/15)\n- **1.11**- Upgrades deps\n- **1.12**- Migrates tests on [Jest](https://jestjs.io/), Integrates [standard.js](https://standardjs.com/), Upgrades deps\n- **1.13**- Adds `compose` function, Upgrades deps, Exposes skew operation [#37](https://github.com/chrvadala/transformation-matrix/pull/37)\n- **1.14**- Adds support for points defined as `Array` in the form `[x, y]` [#38](https://github.com/chrvadala/transformation-matrix/pull/38)\n- **1.15**- Adds `fromTriangle` and `smoothMatrix` functions [#41](https://github.com/chrvadala/transformation-matrix/issues/41)\n- **2.0**- Migrates to Babel 7 and updates dependencies; introduces `fromDefinition` function; breaking changes on `fromTransformAttribute` function; improves docs\n- **2.1**- Upgrades deps; Adds Node.js v12 to CI\n- **2.2**- Upgrades deps; Improves typescript definition [#66](https://github.com/chrvadala/transformation-matrix/pull/66)\n- **2.3**- Adds `(cx,cy)` on `scale` function [#62](https://github.com/chrvadala/transformation-matrix/pull/62); Improves typescript definition [#66](https://github.com/chrvadala/transformation-matrix/pull/67); Upgrades deps\n- **2.4**- Improves typescript definition [#75](https://github.com/chrvadala/transformation-matrix/pull/75)\n- **2.5**- Upgrades deps; Deprecates NodeJS 8; Adds NodeJs 14 support\n- **2.6**- Upgrades deps; Fixes fromTransformAttribute function [#84](https://github.com/chrvadala/transformation-matrix/pull/84)\n- **2.7**- Upgrades deps;\n- **2.8**- Upgrades deps;\n- **2.9**- Adds `flipX()`, `flipY()`, `flipOrigin()` functions; Deprecates NodeJS 12 and adds NodeJS 16 support; Upgrades deps;  \n- **2.10** - Adds `decomposeTSR()` function [#88](https://github.com/chrvadala/transformation-matrix/pull/88); Upgrades deps;\n- **2.11** - Migrates from yarn to npm; Upgrades deps; New [APIs documentation](https://github.com/chrvadala/transformation-matrix/blob/main/docs/api.md); Integrates [chrvadala/github-actions](https://github.com/chrvadala/github-actions);\n- **2.12** - Migrates from PEG.js to Peggy [#89](https://github.com/chrvadala/transformation-matrix/pull/89); Upgrades deps;\n- **2.13** - Upgrades deps; Improves typescript definition; Upgrades gh-actions deps;\n- **2.14** - Upgrades deps; Adds `fromOneMovingPoint` and `fromTwoMovingPoints` functions [#95](https://github.com/chrvadala/transformation-matrix/pull/95)\n- **2.15** - Removes circular dependencies [#97](https://github.com/chrvadala/transformation-matrix/pull/97); Upgrades gh-actions and deps\n- **2.16** - Upgrades deps; Upgrades gh-actions deps;\n- **3.0** - Refactors fromString [#107](https://github.com/chrvadala/transformation-matrix/pull/107) (⚠️ Breaking Changes described [here](https://github.com/chrvadala/transformation-matrix/pull/107#issue-2840194716)); Upgrades gh-actions and deps; \n- **3.1** - Upgrades gh-actions and deps; Deprecates NodeJS 16,18 and adds 22\n\n# Contributors\n- [chrvadala](https://github.com/chrvadala) (author)\n- [forabi](https://github.com/forabi)\n- [nidu](https://github.com/nidu) (PEG.js descriptor)\n- [aubergene](https://github.com/aubergene)\n- [SophiaLi1](https://github.com/SophiaLi1)\n- [Shuhei-Tsunoda](https://github.com/Shuhei-Tsunoda)\n- [antonyRoberts](https://github.com/antonyRoberts)\n- [mcwebb](https://github.com/mcwebb)\n- [signalwerk](https://github.com/signalwerk)\n- [estollnitz](https://github.com/estollnitz)\n- [rodrigoapereira](https://github.com/rodrigoapereira)\n- [formatlos](https://github.com/formatlos)\n- [benhjames](https://github.com/benhjames)\n- [hillin](https://github.com/hillin)\n- [jedrzejchalubek](https://github.com/jedrzejchalubek)\n\n# Some projects using transformation-matrix\n- [**React Planner**](https://github.com/cvdlab/react-planner)\n- [**React SVG Pan Zoom**](https://github.com/chrvadala/react-svg-pan-zoom)\n- [**ngx-graph**](https://github.com/swimlane/ngx-graph)\n- [**learn-anything**](https://github.com/learn-anything/learn-anything)\n- [**react-supergrid**](https://github.com/tscircuit/supergrid)\n- [**Others...**](https://github.com/chrvadala/transformation-matrix/network/dependents)\n- Pull request your project!\n","_attachments":{},"homepage":"https://github.com/chrvadala/transformation-matrix#readme","bugs":{"url":"https://github.com/chrvadala/transformation-matrix/issues"},"license":"MIT"}