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phaser/src/math/Matrix3.js

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/**
* @author Richard Davey <rich@photonstorm.com>
* @copyright 2018 Photon Storm Ltd.
* @license {@link https://github.com/photonstorm/phaser/blob/master/license.txt|MIT License}
*/
// Adapted from [gl-matrix](https://github.com/toji/gl-matrix) by toji
// and [vecmath](https://github.com/mattdesl/vecmath) by mattdesl
var Class = require('../utils/Class');
/**
* @classdesc
* A three-dimensional matrix.
*
* Defaults to the identity matrix when instantiated.
*
* @class Matrix3
* @memberOf Phaser.Math
* @constructor
* @since 3.0.0
*
* @param {Phaser.Math.Matrix3} [m] - Optional Matrix3 to copy values from.
*/
var Matrix3 = new Class({
initialize:
function Matrix3 (m)
{
/**
* The matrix values.
*
* @name Phaser.Math.Matrix3#val
* @type {Float32Array}
* @since 3.0.0
*/
this.val = new Float32Array(9);
if (m)
{
// Assume Matrix3 with val:
this.copy(m);
}
else
{
// Default to identity
this.identity();
}
},
/**
* Make a clone of this Matrix3.
*
* @method Phaser.Math.Matrix3#clone
* @since 3.0.0
*
* @return {Phaser.Math.Matrix3} A clone of this Matrix3.
*/
clone: function ()
{
return new Matrix3(this);
},
/**
* This method is an alias for `Matrix3.copy`.
*
* @method Phaser.Math.Matrix3#set
* @since 3.0.0
*
* @param {Phaser.Math.Matrix3} src - The Matrix to set the values of this Matrix's from.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
set: function (src)
{
return this.copy(src);
},
/**
* Copy the values of a given Matrix into this Matrix.
*
* @method Phaser.Math.Matrix3#copy
* @since 3.0.0
*
* @param {Phaser.Math.Matrix3} src - The Matrix to copy the values from.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
copy: function (src)
{
var out = this.val;
var a = src.val;
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
return this;
},
/**
* Copy the values of a given Matrix4 into this Matrix3.
*
* @method Phaser.Math.Matrix3#fromMat4
* @since 3.0.0
*
* @param {Phaser.Math.Matrix4} m - The Matrix4 to copy the values from.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
fromMat4: function (m)
{
var a = m.val;
var out = this.val;
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[4];
out[4] = a[5];
out[5] = a[6];
out[6] = a[8];
out[7] = a[9];
out[8] = a[10];
return this;
},
/**
* Set the values of this Matrix from the given array.
*
* @method Phaser.Math.Matrix3#fromArray
* @since 3.0.0
*
* @param {array} a - The array to copy the values from.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
fromArray: function (a)
{
var out = this.val;
out[0] = a[0];
out[1] = a[1];
out[2] = a[2];
out[3] = a[3];
out[4] = a[4];
out[5] = a[5];
out[6] = a[6];
out[7] = a[7];
out[8] = a[8];
return this;
},
/**
* Reset this Matrix to an identity (default) matrix.
*
* @method Phaser.Math.Matrix3#identity
* @since 3.0.0
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
identity: function ()
{
var out = this.val;
out[0] = 1;
out[1] = 0;
out[2] = 0;
out[3] = 0;
out[4] = 1;
out[5] = 0;
out[6] = 0;
out[7] = 0;
out[8] = 1;
return this;
},
/**
* Transpose this Matrix.
*
* @method Phaser.Math.Matrix3#transpose
* @since 3.0.0
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
transpose: function ()
{
var a = this.val;
var a01 = a[1];
var a02 = a[2];
var a12 = a[5];
a[1] = a[3];
a[2] = a[6];
a[3] = a01;
a[5] = a[7];
a[6] = a02;
a[7] = a12;
return this;
},
/**
* Invert this Matrix.
*
* @method Phaser.Math.Matrix3#invert
* @since 3.0.0
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
invert: function ()
{
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 a20 = a[6];
var a21 = a[7];
var a22 = a[8];
var b01 = a22 * a11 - a12 * a21;
var b11 = -a22 * a10 + a12 * a20;
var b21 = a21 * a10 - a11 * a20;
// Calculate the determinant
var det = a00 * b01 + a01 * b11 + a02 * b21;
if (!det)
{
return null;
}
det = 1 / det;
a[0] = b01 * det;
a[1] = (-a22 * a01 + a02 * a21) * det;
a[2] = (a12 * a01 - a02 * a11) * det;
a[3] = b11 * det;
a[4] = (a22 * a00 - a02 * a20) * det;
a[5] = (-a12 * a00 + a02 * a10) * det;
a[6] = b21 * det;
a[7] = (-a21 * a00 + a01 * a20) * det;
a[8] = (a11 * a00 - a01 * a10) * det;
return this;
},
/**
* Calculate the adjoint, or adjugate, of this Matrix.
*
* @method Phaser.Math.Matrix3#adjoint
* @since 3.0.0
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
adjoint: function ()
{
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 a20 = a[6];
var a21 = a[7];
var a22 = a[8];
a[0] = (a11 * a22 - a12 * a21);
a[1] = (a02 * a21 - a01 * a22);
a[2] = (a01 * a12 - a02 * a11);
a[3] = (a12 * a20 - a10 * a22);
a[4] = (a00 * a22 - a02 * a20);
a[5] = (a02 * a10 - a00 * a12);
a[6] = (a10 * a21 - a11 * a20);
a[7] = (a01 * a20 - a00 * a21);
a[8] = (a00 * a11 - a01 * a10);
return this;
},
/**
* Calculate the determinant of this Matrix.
*
* @method Phaser.Math.Matrix3#determinant
* @since 3.0.0
*
* @return {number} The determinant of this Matrix.
*/
determinant: function ()
{
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 a20 = a[6];
var a21 = a[7];
var a22 = a[8];
return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20);
},
/**
* Multiply this Matrix by the given Matrix.
*
* @method Phaser.Math.Matrix3#multiply
* @since 3.0.0
*
* @param {Phaser.Math.Matrix3} src - The Matrix to multiply this Matrix by.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
multiply: function (src)
{
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 a20 = a[6];
var a21 = a[7];
var a22 = a[8];
var b = src.val;
var b00 = b[0];
var b01 = b[1];
var b02 = b[2];
var b10 = b[3];
var b11 = b[4];
var b12 = b[5];
var b20 = b[6];
var b21 = b[7];
var b22 = b[8];
a[0] = b00 * a00 + b01 * a10 + b02 * a20;
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;
},
/**
* Translate this Matrix using the given Vector.
*
* @method Phaser.Math.Matrix3#translate
* @since 3.0.0
*
* @param {(Phaser.Math.Vector2|Phaser.Math.Vector3|Phaser.Math.Vector4)} v - The Vector to translate this Matrix with.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
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;
},
/**
* Apply a rotation transformation to this Matrix.
*
* @method Phaser.Math.Matrix3#rotate
* @since 3.0.0
*
* @param {number} rad - The angle in radians to rotate by.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
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;
},
/**
* Apply a scale transformation to this Matrix.
*
* Uses the `x` and `y` components of the given Vector to scale the Matrix.
*
* @method Phaser.Math.Matrix3#scale
* @since 3.0.0
*
* @param {(Phaser.Math.Vector2|Phaser.Math.Vector3|Phaser.Math.Vector4)} v - The Vector to scale this Matrix with.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
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;
},
/**
* Set the values of this Matrix from the given Quaternion.
*
* @method Phaser.Math.Matrix3#fromQuat
* @since 3.0.0
*
* @param {Phaser.Math.Quaternion} q - The Quaternion to set the values of this Matrix from.
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
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;
},
/**
* [description]
*
* @method Phaser.Math.Matrix3#normalFromMat4
* @since 3.0.0
*
* @param {Phaser.Math.Matrix4} m - [description]
*
* @return {Phaser.Math.Matrix3} This Matrix3.
*/
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;
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