2018-02-12 16:01:20 +00:00
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/**
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* @author Richard Davey <rich@photonstorm.com>
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* @copyright 2018 Photon Storm Ltd.
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* @license {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License}
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*/
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2017-09-15 15:31:48 +00:00
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// Adapted from [gl-matrix](https://github.com/toji/gl-matrix) by toji
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// and [vecmath](https://github.com/mattdesl/vecmath) by mattdesl
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var Class = require('../utils/Class');
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2018-02-07 15:27:21 +00:00
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/**
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* @classdesc
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* [description]
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*
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* @class Matrix3
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* @memberOf Phaser.Math
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* @constructor
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* @since 3.0.0
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*
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* @param {Phaser.Math.Matrix3} [m] - [description]
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*/
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2017-09-15 15:31:48 +00:00
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var Matrix3 = new Class({
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initialize:
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function Matrix3 (m)
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{
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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2018-02-07 15:27:21 +00:00
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* @name Phaser.Math.Matrix3#val
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* @type {Float32Array}
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2018-01-26 06:19:27 +00:00
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* @since 3.0.0
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*/
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2017-09-15 15:31:48 +00:00
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this.val = new Float32Array(9);
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if (m)
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{
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// Assume Matrix3 with val:
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this.copy(m);
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}
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else
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{
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// Default to identity
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this.identity();
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}
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#clone
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} A new Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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clone: function ()
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{
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return new Matrix3(this);
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#set
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @param {Phaser.Math.Matrix3} src - [description]
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2018-01-26 06:19:27 +00:00
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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set: function (src)
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{
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return this.copy(src);
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#copy
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @param {Phaser.Math.Matrix3} src - [description]
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2018-01-26 06:19:27 +00:00
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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copy: function (src)
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{
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var out = this.val;
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var a = src.val;
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out[0] = a[0];
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out[1] = a[1];
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out[2] = a[2];
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out[3] = a[3];
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out[4] = a[4];
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out[5] = a[5];
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out[6] = a[6];
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out[7] = a[7];
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out[8] = a[8];
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#fromMat4
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @param {Phaser.Math.Matrix4} m - [description]
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2018-01-26 06:19:27 +00:00
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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fromMat4: function (m)
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{
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var a = m.val;
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var out = this.val;
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out[0] = a[0];
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out[1] = a[1];
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out[2] = a[2];
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out[3] = a[4];
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out[4] = a[5];
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out[5] = a[6];
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out[6] = a[8];
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out[7] = a[9];
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out[8] = a[10];
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#fromArray
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @param {array} a - [description]
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2018-01-26 06:19:27 +00:00
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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fromArray: function (a)
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{
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var out = this.val;
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out[0] = a[0];
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out[1] = a[1];
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out[2] = a[2];
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out[3] = a[3];
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out[4] = a[4];
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out[5] = a[5];
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out[6] = a[6];
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out[7] = a[7];
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out[8] = a[8];
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#identity
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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identity: function ()
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{
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var out = this.val;
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out[0] = 1;
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out[1] = 0;
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out[2] = 0;
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out[3] = 0;
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out[4] = 1;
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out[5] = 0;
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out[6] = 0;
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out[7] = 0;
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out[8] = 1;
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#transpose
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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transpose: function ()
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{
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var a = this.val;
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var a01 = a[1];
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var a02 = a[2];
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var a12 = a[5];
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a[1] = a[3];
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a[2] = a[6];
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a[3] = a01;
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a[5] = a[7];
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a[6] = a02;
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a[7] = a12;
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#invert
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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invert: function ()
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{
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var a = this.val;
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var a00 = a[0];
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var a01 = a[1];
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var a02 = a[2];
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var a10 = a[3];
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var a11 = a[4];
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var a12 = a[5];
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var a20 = a[6];
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var a21 = a[7];
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var a22 = a[8];
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var b01 = a22 * a11 - a12 * a21;
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var b11 = -a22 * a10 + a12 * a20;
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var b21 = a21 * a10 - a11 * a20;
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// Calculate the determinant
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var det = a00 * b01 + a01 * b11 + a02 * b21;
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if (!det)
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{
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return null;
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}
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det = 1 / det;
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a[0] = b01 * det;
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a[1] = (-a22 * a01 + a02 * a21) * det;
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a[2] = (a12 * a01 - a02 * a11) * det;
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a[3] = b11 * det;
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a[4] = (a22 * a00 - a02 * a20) * det;
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a[5] = (-a12 * a00 + a02 * a10) * det;
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a[6] = b21 * det;
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a[7] = (-a21 * a00 + a01 * a20) * det;
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a[8] = (a11 * a00 - a01 * a10) * det;
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#adjoint
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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adjoint: function ()
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{
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var a = this.val;
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var a00 = a[0];
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var a01 = a[1];
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var a02 = a[2];
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var a10 = a[3];
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var a11 = a[4];
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var a12 = a[5];
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var a20 = a[6];
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var a21 = a[7];
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var a22 = a[8];
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a[0] = (a11 * a22 - a12 * a21);
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a[1] = (a02 * a21 - a01 * a22);
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a[2] = (a01 * a12 - a02 * a11);
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a[3] = (a12 * a20 - a10 * a22);
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a[4] = (a00 * a22 - a02 * a20);
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a[5] = (a02 * a10 - a00 * a12);
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a[6] = (a10 * a21 - a11 * a20);
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a[7] = (a01 * a20 - a00 * a21);
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a[8] = (a00 * a11 - a01 * a10);
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return this;
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#determinant
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @return {number} [description]
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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determinant: function ()
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{
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var a = this.val;
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var a00 = a[0];
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var a01 = a[1];
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var a02 = a[2];
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var a10 = a[3];
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var a11 = a[4];
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var a12 = a[5];
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var a20 = a[6];
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var a21 = a[7];
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var a22 = a[8];
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return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20);
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},
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2018-01-26 06:19:27 +00:00
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/**
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* [description]
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*
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* @method Phaser.Math.Matrix3#multiply
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* @since 3.0.0
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*
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2018-03-19 11:25:46 +00:00
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* @param {Phaser.Math.Matrix3} src - [description]
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2018-01-26 06:19:27 +00:00
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*
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2018-03-19 11:25:46 +00:00
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* @return {Phaser.Math.Matrix3} This Matrix3 object.
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2018-01-26 06:19:27 +00:00
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*/
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2017-09-15 15:31:48 +00:00
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multiply: function (src)
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{
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var a = this.val;
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var a00 = a[0];
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var a01 = a[1];
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var a02 = a[2];
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var a10 = a[3];
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var a11 = a[4];
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var a12 = a[5];
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var a20 = a[6];
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var a21 = a[7];
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var a22 = a[8];
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var b = src.val;
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var b00 = b[0];
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var b01 = b[1];
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var b02 = b[2];
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var b10 = b[3];
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var b11 = b[4];
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var b12 = b[5];
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var b20 = b[6];
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var b21 = b[7];
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var b22 = b[8];
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a[0] = b00 * a00 + b01 * a10 + b02 * a20;
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a[1] = b00 * a01 + b01 * a11 + b02 * a21;
|
|
|
|
a[2] = b00 * a02 + b01 * a12 + b02 * a22;
|
|
|
|
|
|
|
|
a[3] = b10 * a00 + b11 * a10 + b12 * a20;
|
|
|
|
a[4] = b10 * a01 + b11 * a11 + b12 * a21;
|
|
|
|
a[5] = b10 * a02 + b11 * a12 + b12 * a22;
|
|
|
|
|
|
|
|
a[6] = b20 * a00 + b21 * a10 + b22 * a20;
|
|
|
|
a[7] = b20 * a01 + b21 * a11 + b22 * a21;
|
|
|
|
a[8] = b20 * a02 + b21 * a12 + b22 * a22;
|
|
|
|
|
|
|
|
return this;
|
|
|
|
},
|
|
|
|
|
2018-01-26 06:19:27 +00:00
|
|
|
/**
|
|
|
|
* [description]
|
|
|
|
*
|
|
|
|
* @method Phaser.Math.Matrix3#translate
|
|
|
|
* @since 3.0.0
|
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @param {Phaser.Math.Vector2|Phaser.Math.Vector3|Phaser.Math.Vector4} v - [description]
|
2018-01-26 06:19:27 +00:00
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @return {Phaser.Math.Matrix3} This Matrix3 object.
|
2018-01-26 06:19:27 +00:00
|
|
|
*/
|
2017-09-15 15:31:48 +00:00
|
|
|
translate: function (v)
|
|
|
|
{
|
|
|
|
var a = this.val;
|
|
|
|
var x = v.x;
|
|
|
|
var y = v.y;
|
|
|
|
|
|
|
|
a[6] = x * a[0] + y * a[3] + a[6];
|
|
|
|
a[7] = x * a[1] + y * a[4] + a[7];
|
|
|
|
a[8] = x * a[2] + y * a[5] + a[8];
|
|
|
|
|
|
|
|
return this;
|
|
|
|
},
|
|
|
|
|
2018-01-26 06:19:27 +00:00
|
|
|
/**
|
|
|
|
* [description]
|
|
|
|
*
|
|
|
|
* @method Phaser.Math.Matrix3#rotate
|
|
|
|
* @since 3.0.0
|
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @param {number} rad - [description]
|
2018-01-26 06:19:27 +00:00
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @return {Phaser.Math.Matrix3} This Matrix3 object.
|
2018-01-26 06:19:27 +00:00
|
|
|
*/
|
2017-09-15 15:31:48 +00:00
|
|
|
rotate: function (rad)
|
|
|
|
{
|
|
|
|
var a = this.val;
|
|
|
|
|
|
|
|
var a00 = a[0];
|
|
|
|
var a01 = a[1];
|
|
|
|
var a02 = a[2];
|
|
|
|
var a10 = a[3];
|
|
|
|
var a11 = a[4];
|
|
|
|
var a12 = a[5];
|
|
|
|
|
|
|
|
var s = Math.sin(rad);
|
|
|
|
var c = Math.cos(rad);
|
|
|
|
|
|
|
|
a[0] = c * a00 + s * a10;
|
|
|
|
a[1] = c * a01 + s * a11;
|
|
|
|
a[2] = c * a02 + s * a12;
|
|
|
|
|
|
|
|
a[3] = c * a10 - s * a00;
|
|
|
|
a[4] = c * a11 - s * a01;
|
|
|
|
a[5] = c * a12 - s * a02;
|
|
|
|
|
|
|
|
return this;
|
|
|
|
},
|
|
|
|
|
2018-01-26 06:19:27 +00:00
|
|
|
/**
|
|
|
|
* [description]
|
|
|
|
*
|
|
|
|
* @method Phaser.Math.Matrix3#scale
|
|
|
|
* @since 3.0.0
|
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @param {Phaser.Math.Vector2|Phaser.Math.Vector3|Phaser.Math.Vector4} v - [description]
|
2018-01-26 06:19:27 +00:00
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @return {Phaser.Math.Matrix3} This Matrix3 object.
|
2018-01-26 06:19:27 +00:00
|
|
|
*/
|
2017-09-15 15:31:48 +00:00
|
|
|
scale: function (v)
|
|
|
|
{
|
|
|
|
var a = this.val;
|
|
|
|
var x = v.x;
|
|
|
|
var y = v.y;
|
|
|
|
|
|
|
|
a[0] = x * a[0];
|
|
|
|
a[1] = x * a[1];
|
|
|
|
a[2] = x * a[2];
|
|
|
|
|
|
|
|
a[3] = y * a[3];
|
|
|
|
a[4] = y * a[4];
|
|
|
|
a[5] = y * a[5];
|
|
|
|
|
|
|
|
return this;
|
|
|
|
},
|
|
|
|
|
2018-01-26 06:19:27 +00:00
|
|
|
/**
|
|
|
|
* [description]
|
|
|
|
*
|
|
|
|
* @method Phaser.Math.Matrix3#fromQuat
|
|
|
|
* @since 3.0.0
|
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @param {Phaser.Math.Quaternion} q - [description]
|
2018-01-26 06:19:27 +00:00
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @return {Phaser.Math.Matrix3} This Matrix3 object.
|
2018-01-26 06:19:27 +00:00
|
|
|
*/
|
2017-09-15 15:31:48 +00:00
|
|
|
fromQuat: function (q)
|
|
|
|
{
|
|
|
|
var x = q.x;
|
|
|
|
var y = q.y;
|
|
|
|
var z = q.z;
|
|
|
|
var w = q.w;
|
|
|
|
|
|
|
|
var x2 = x + x;
|
|
|
|
var y2 = y + y;
|
|
|
|
var z2 = z + z;
|
|
|
|
|
|
|
|
var xx = x * x2;
|
|
|
|
var xy = x * y2;
|
|
|
|
var xz = x * z2;
|
|
|
|
|
|
|
|
var yy = y * y2;
|
|
|
|
var yz = y * z2;
|
|
|
|
var zz = z * z2;
|
|
|
|
|
|
|
|
var wx = w * x2;
|
|
|
|
var wy = w * y2;
|
|
|
|
var wz = w * z2;
|
|
|
|
|
|
|
|
var out = this.val;
|
|
|
|
|
|
|
|
out[0] = 1 - (yy + zz);
|
|
|
|
out[3] = xy + wz;
|
|
|
|
out[6] = xz - wy;
|
|
|
|
|
|
|
|
out[1] = xy - wz;
|
|
|
|
out[4] = 1 - (xx + zz);
|
|
|
|
out[7] = yz + wx;
|
|
|
|
|
|
|
|
out[2] = xz + wy;
|
|
|
|
out[5] = yz - wx;
|
|
|
|
out[8] = 1 - (xx + yy);
|
|
|
|
|
|
|
|
return this;
|
|
|
|
},
|
|
|
|
|
2018-01-26 06:19:27 +00:00
|
|
|
/**
|
|
|
|
* [description]
|
|
|
|
*
|
|
|
|
* @method Phaser.Math.Matrix3#normalFromMat4
|
|
|
|
* @since 3.0.0
|
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @param {Phaser.Math.Matrix4} m - [description]
|
2018-01-26 06:19:27 +00:00
|
|
|
*
|
2018-03-19 11:25:46 +00:00
|
|
|
* @return {Phaser.Math.Matrix3} This Matrix3 object.
|
2018-01-26 06:19:27 +00:00
|
|
|
*/
|
2017-09-15 15:31:48 +00:00
|
|
|
normalFromMat4: function (m)
|
|
|
|
{
|
|
|
|
var a = m.val;
|
|
|
|
var out = this.val;
|
|
|
|
|
|
|
|
var a00 = a[0];
|
|
|
|
var a01 = a[1];
|
|
|
|
var a02 = a[2];
|
|
|
|
var a03 = a[3];
|
|
|
|
|
|
|
|
var a10 = a[4];
|
|
|
|
var a11 = a[5];
|
|
|
|
var a12 = a[6];
|
|
|
|
var a13 = a[7];
|
|
|
|
|
|
|
|
var a20 = a[8];
|
|
|
|
var a21 = a[9];
|
|
|
|
var a22 = a[10];
|
|
|
|
var a23 = a[11];
|
|
|
|
|
|
|
|
var a30 = a[12];
|
|
|
|
var a31 = a[13];
|
|
|
|
var a32 = a[14];
|
|
|
|
var a33 = a[15];
|
|
|
|
|
|
|
|
var b00 = a00 * a11 - a01 * a10;
|
|
|
|
var b01 = a00 * a12 - a02 * a10;
|
|
|
|
var b02 = a00 * a13 - a03 * a10;
|
|
|
|
var b03 = a01 * a12 - a02 * a11;
|
|
|
|
|
|
|
|
var b04 = a01 * a13 - a03 * a11;
|
|
|
|
var b05 = a02 * a13 - a03 * a12;
|
|
|
|
var b06 = a20 * a31 - a21 * a30;
|
|
|
|
var b07 = a20 * a32 - a22 * a30;
|
|
|
|
|
|
|
|
var b08 = a20 * a33 - a23 * a30;
|
|
|
|
var b09 = a21 * a32 - a22 * a31;
|
|
|
|
var b10 = a21 * a33 - a23 * a31;
|
|
|
|
var b11 = a22 * a33 - a23 * a32;
|
|
|
|
|
|
|
|
// Calculate the determinant
|
|
|
|
var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
|
|
|
|
|
|
|
|
if (!det)
|
|
|
|
{
|
|
|
|
return null;
|
|
|
|
}
|
|
|
|
|
|
|
|
det = 1 / det;
|
|
|
|
|
|
|
|
out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;
|
|
|
|
out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
|
|
|
|
out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
|
|
|
|
|
|
|
|
out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
|
|
|
|
out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
|
|
|
|
out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
|
|
|
|
|
|
|
|
out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
|
|
|
|
out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
|
|
|
|
out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
|
|
|
|
|
|
|
|
return this;
|
|
|
|
}
|
|
|
|
|
|
|
|
});
|
|
|
|
|
|
|
|
module.exports = Matrix3;
|