Difference between revisions of "Matrix"

From GiderosMobile
(→‎Methods: I had to add back Special:MyLanguage/ because the text wasn't readable anymore. Maybe Matrix: is a special word in WikiMedia?)
 
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__NOTOC__
 
__NOTOC__
'''Supported platforms:''' android, ios, mac, pc<br/>
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<!-- GIDEROSOBJ:Matrix -->
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'''Supported platforms:''' [[File:Platform android.png]][[File:Platform ios.png]][[File:Platform mac.png]][[File:Platform pc.png]][[File:Platform html5.png]][[File:Platform winrt.png]][[File:Platform win32.png]]<br/>
 
'''Available since:''' Gideros 2011.6<br/>
 
'''Available since:''' Gideros 2011.6<br/>
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'''Inherits from:''' [[Object]]<br/>
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=== Description ===
 
=== Description ===
<br />
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The Matrix class specifies transformation from one coordinate space to another.
The Matrix class specifies transformation from one coordinate space to another.<br />
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These transformations include translation, rotation, scaling and skewing.<br />
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These transformations include translation, rotation, scaling and skewing.
<br />
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A 2D transformation matrix is a 3 x 3 matrix in homogenous coordinate system:<br />
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A 2D transformation matrix is a 3 x 3 matrix in homogeneous coordinate system:
<br />
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![images/matrix_props.png]<br />
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[[File:Matrix props.png]]
<br />
 
You can get and set the values of all six of the properties in a<br />
 
Matrix object: `m11`, `m12`, `m21`, `m22`, `tx`, and `ty`.<br />
 
<br />
 
  
Since Gideros 2016.6, Matrix can also hold 3D (4x4) matrices.{|-
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You can get and set the values of all six of the properties in a Matrix object: ''m11'', ''m12'', ''m21'', ''m22'', ''tx'', and ''ty''.
| style="width: 50%;"|
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 +
Since Gideros 2016.6, Matrix can also hold 3D (4x4) matrices.
 +
 
 +
=== Examples ===
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'''Applying matrix to Sprite objects'''
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<syntaxhighlight lang="lua">
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local angle = math.rad(30)
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-- create skew matrix
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local m = Matrix.new(1, math.tan(angle), math.tan(angle), 1, 0, 0)
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-- apply to Sprite
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local sprite = Sprite.new()
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sprite:setMatrix(m)
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</syntaxhighlight>
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{|-
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| style="width: 50%; vertical-align:top;"|
 
=== Methods ===
 
=== Methods ===
[[Matrix.new]] - creates a new Matrix object<br/>
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[[Matrix.new]] ''creates a new Matrix object''<br/><!--GIDEROSMTD:Matrix.new(m11,m12,m21,m22,tx,ty) creates a new Matrix object-->
[[Matrix:getAnchorPosition]] - get anchor position from matrix transformation<br/>
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[[Matrix.fromSRT]] ''builds a matrix from scale/rotation/translation components''<br/><!--GIDEROSMTD:Matrix.fromSRT(srt,reverse) builds a matrix from scale/rotation/translation components -->
[[Matrix:getElements]] - returns the elements of this matrix instance<br/>
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[[Matrix:getM11]] - returns the value of the m11 component<br/>
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[[Special:MyLanguage/Matrix:duplicate|Matrix:duplicate]] ''returns a copy of this matrix''<br/><!--GIDEROSMTD:Matrix:duplicate() returns a copy of this matrix -->
[[Matrix:getM12]] - returns the value of the m12 component<br/>
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[[Special:MyLanguage/Matrix:getAnchorPosition|Matrix:getAnchorPosition]] ''gets anchor position from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getAnchorPosition() gets anchor position from matrix transformation-->
[[Matrix:getM21]] - returns the value of the m21 component<br/>
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[[Special:MyLanguage/Matrix:getElements|Matrix:getElements]] ''returns the elements of this matrix instance''<br/><!--GIDEROSMTD:Matrix:getElements() returns the elements of this matrix instance-->
[[Matrix:getM22]] - returns the value of the m22 component<br/>
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[[Special:MyLanguage/Matrix:getM11|Matrix:getM11]] ''returns the value of the m11 component''<br/><!--GIDEROSMTD:Matrix:getM11() returns the value of the m11 component-->
[[Matrix:getMatrix]] - get all 16 elements of 4x4 matrix<br/>
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[[Special:MyLanguage/Matrix:getM12|Matrix:getM12]] ''returns the value of the m12 component''<br/><!--GIDEROSMTD:Matrix:getM12() returns the value of the m12 component-->
[[Matrix:getPosition]] - get position from matrix transformation<br/>
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[[Special:MyLanguage/Matrix:getM21|Matrix:getM21]] ''returns the value of the m21 component''<br/><!--GIDEROSMTD:Matrix:getM21() returns the value of the m21 component-->
[[Matrix:getRotationX]] - get rotation for x axis<br/>
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[[Special:MyLanguage/Matrix:getM22|Matrix:getM22]] ''returns the value of the m22 component''<br/><!--GIDEROSMTD:Matrix:getM22() returns the value of the m22 component-->
[[Matrix:getRotationY]] - get rotation on y axis<br/>
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[[Special:MyLanguage/Matrix:getMatrix|Matrix:getMatrix]] ''gets all 16 elements of 4x4 matrix''<br/><!--GIDEROSMTD:Matrix:getMatrix() gets all 16 elements of 4x4 matrix-->
[[Matrix:getRotationZ]] - get rotation for z axis<br/>
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[[Special:MyLanguage/Matrix:getPosition|Matrix:getPosition]] ''gets position from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getPosition() gets position from matrix transformation-->
[[Matrix:getScale]] - get scale from matrix transformation<br/>
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[[Special:MyLanguage/Matrix:getRotationX|Matrix:getRotationX]] ''gets rotation on x axis''<br/><!--GIDEROSMTD:Matrix:getRotationX() gets rotation on x axis-->
[[Matrix:getScaleX]] - get scale on x axis<br/>
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[[Special:MyLanguage/Matrix:getRotationY|Matrix:getRotationY]] ''gets rotation on y axis''<br/><!--GIDEROSMTD:Matrix:getRotationY() get rotation on y axis-->
[[Matrix:getScaleY]] - get scale on y axis<br/>
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[[Special:MyLanguage/Matrix:getRotationZ|Matrix:getRotationZ]] ''get rotation on z axis''<br/><!--GIDEROSMTD:Matrix:getRotationZ() get rotation on z axis-->
[[Matrix:getScaleZ]] - get scale on z axis<br/>
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[[Special:MyLanguage/Matrix:getScale|Matrix:getScale]] ''gets scale from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getScale() gets scale from matrix transformation-->
[[Matrix:getTx]] - returns the value of the tx component<br/>
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[[Special:MyLanguage/Matrix:getScaleX|Matrix:getScaleX]] ''gets scale on x axis''<br/><!--GIDEROSMTD:Matrix:getScaleX() gets scale on x axis-->
[[Matrix:getTy]] - returns the value of the ty component<br/>
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[[Special:MyLanguage/Matrix:getScaleY|Matrix:getScaleY]] ''gets scale on y axis''<br/><!--GIDEROSMTD:Matrix:getScaleY() gets scale on y axis-->
[[Matrix:getTz]] - returns the value of the tz component<br/>
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[[Special:MyLanguage/Matrix:getScaleZ|Matrix:getScaleZ]] ''gets scale on z axis''<br/><!--GIDEROSMTD:Matrix:getScaleZ() gets scale on z axis-->
[[Matrix:getX]] - get x position<br/>
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[[Special:MyLanguage/Matrix:getTx|Matrix:getTx]] ''returns the value of the tx component''<br/><!--GIDEROSMTD:Matrix:getTx() returns the value of the tx component-->
[[Matrix:getY]] - get y position<br/>
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[[Special:MyLanguage/Matrix:getTy|Matrix:getTy]] ''returns the value of the ty component''<br/><!--GIDEROSMTD:Matrix:getTy() returns the value of the ty component-->
[[Matrix:getZ]] - get z position<br/>
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[[Special:MyLanguage/Matrix:getTz|Matrix:getTz]] ''returns the value of the tz component''<br/><!--GIDEROSMTD:Matrix:getTz() returns the value of the tz component-->
[[Matrix:invert]] - <br/>
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[[Special:MyLanguage/Matrix:getX|Matrix:getX]] ''gets x position''<br/><!--GIDEROSMTD:Matrix:getX() gets x position-->
[[Matrix:multiply]] - Multiply current matrix with new one<br/>
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[[Special:MyLanguage/Matrix:getY|Matrix:getY]] ''gets y position''<br/><!--GIDEROSMTD:Matrix:getY() gets y position-->
[[Matrix:orthographicProjection]] - <br/>
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[[Special:MyLanguage/Matrix:getZ|Matrix:getZ]] ''gets z position''<br/><!--GIDEROSMTD:Matrix:getZ() gets z position-->
[[Matrix:perspectiveProjection]] - <br/>
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[[Special:MyLanguage/Matrix:invert|Matrix:invert]] ''inverts the matrix''<br/><!--GIDEROSMTD:Matrix:invert() inverts the matrix-->
[[Matrix:perspectiveProjection]] - <br/>
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[[Special:MyLanguage/Matrix:multiply|Matrix:multiply]] ''multiplies current matrix with new one''<br/><!--GIDEROSMTD:Matrix:multiply(matrix) multiplies current matrix with new one-->
[[Matrix:rotate]] - combine existing rotation with provided<br/>
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[[Special:MyLanguage/Matrix:orthographicProjection|Matrix:orthographicProjection]] ''replaces this matrix by an orthographic projection''<br/><!--GIDEROSMTD:Matrix:orthographicProjection(left,right,bottom,top,near,far) replaces this matrix by an orthographic projection-->
[[Matrix:scale]] - combine existing scale with provided scale<br/>
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[[Special:MyLanguage/Matrix:perspectiveProjection|Matrix:perspectiveProjection]] ''replaces this matrix by a perspective projection''<br/><!--GIDEROSMTD:Matrix:perspectiveProjection(left,right,bottom,top,near,far) replaces this matrix by a perspective projection-->
[[Matrix:setAnchorPosition]] - transform matrix for setting anchor position<br/>
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[[Special:MyLanguage/Matrix:perspectiveProjection|Matrix:perspectiveProjection]] ''replaces this matrix by a perspective projection''<br/><!--GIDEROSMTD:Matrix:perspectiveProjection(fov,aspect,near,far) replaces this matrix by a perspective projection-->
[[Matrix:setElements]] - sets all 6 elements of this matrix instance<br/>
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[[Special:MyLanguage/Matrix:rotate|Matrix:rotate]] ''combines existing rotation with provided rotation''<br/><!--GIDEROSMTD:Matrix:rotate(angle,x vector,y vector,z vector) combines existing rotation with provided rotation-->
[[Matrix:setM11]] - sets the value of the m11 component<br/>
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[[Special:MyLanguage/Matrix:scale|Matrix:scale]] ''combines existing scale with provided scale''<br/><!--GIDEROSMTD:Matrix:scale(x scale,y scale,z scale) combines existing scale with provided scale-->
[[Matrix:setM12]] - sets the value of the m22 component<br/>
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[[Special:MyLanguage/Matrix:setAnchorPosition|Matrix:setAnchorPosition]] ''transform matrix for setting anchor position''<br/><!--GIDEROSMTD:Matrix:setAnchorPosition(x,y,z) transform matrix for setting anchor position-->
[[Matrix:setM21]] - <br/>
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[[Special:MyLanguage/Matrix:setElements|Matrix:setElements]] ''sets all 6 elements of this matrix instance''<br/><!--GIDEROSMTD:Matrix:setElements(m11,m12,m21,m22,tx,ty) sets all 6 elements of this matrix instance-->
[[Matrix:setM22]] - <br/>
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[[Special:MyLanguage/Matrix:setM11|Matrix:setM11]] ''sets the value of the m11 component''<br/><!--GIDEROSMTD:Matrix:setM11(m11) sets the value of the m11 component-->
[[Matrix:setMatrix]] - set all 16 elements of 4x4 matrix<br/>
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[[Special:MyLanguage/Matrix:setM12|Matrix:setM12]] ''sets the value of the m12 component''<br/><!--GIDEROSMTD:Matrix:setM12(m12) sets the value of the m12 component-->
[[Matrix:setPosition]] - transform matrix for setting position<br/>
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[[Special:MyLanguage/Matrix:setM21|Matrix:setM21]] ''sets the value of the m21 component''<br/><!--GIDEROSMTD:Matrix:setM21(m21) sets the value of the m21 component-->
[[Matrix:setRotationX]] - set rotation on x axis<br/>
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[[Special:MyLanguage/Matrix:setM22|Matrix:setM22]] ''sets the value of the m22 component''<br/><!--GIDEROSMTD:Matrix:setM22(m22) sets the value of the m22 component-->
[[Matrix:setRotationY]] - set rotation on y axis<br/>
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[[Special:MyLanguage/Matrix:setMatrix|Matrix:setMatrix]] ''set all 16 elements of 4x4 matrix''<br/><!--GIDEROSMTD:Matrix:setMatrix(m11,m12,m13,m14,m21,m22,m23,m24,m31,m32,m33,m34,m41,m42,m43,m44) set all 16 elements of 4x4 matrix-->
[[Matrix:setRotationZ]] - set rotation on z axis<br/>
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[[Special:MyLanguage/Matrix:setPosition|Matrix:setPosition]] ''transform matrix for setting position''<br/><!--GIDEROSMTD:Matrix:setPosition(x,y,z) transform matrix for setting position-->
[[Matrix:setScale]] - transform matrix for setting scale<br/>
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[[Special:MyLanguage/Matrix:setRotationX|Matrix:setRotationX]] ''sets rotation on x axis''<br/><!--GIDEROSMTD:Matrix:setRotationX(x rotation) sets rotation on x axis-->
[[Matrix:setScaleX]] - set scale on x axis<br/>
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[[Special:MyLanguage/Matrix:setRotationY|Matrix:setRotationY]] ''sets rotation on y axis''<br/><!--GIDEROSMTD:Matrix:setRotationY(y rotation) sets rotation on y axis-->
[[Matrix:setScaleY]] - set scale on y axis<br/>
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[[Special:MyLanguage/Matrix:setRotationZ|Matrix:setRotationZ]] ''sets rotation on z axis''<br/><!--GIDEROSMTD:Matrix:setRotationZ(z rotation) sets rotation on z axis-->
[[Matrix:setScaleZ]] - set scale on z axis<br/>
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[[Special:MyLanguage/Matrix:setScale|Matrix:setScale]] ''transform matrix for setting scale''<br/><!--GIDEROSMTD:Matrix:setScale(x,y,z) transform matrix for setting scale-->
[[Matrix:setTx]] - sets the value of the tx component<br/>
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[[Special:MyLanguage/Matrix:setScaleX|Matrix:setScaleX]] ''sets scale on x axis''<br/><!--GIDEROSMTD:Matrix:setScaleX(x scale) sets scale on x axis-->
[[Matrix:setTy]] - sets the value of the ty component<br/>
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[[Special:MyLanguage/Matrix:setScaleY|Matrix:setScaleY]] ''sets scale on y axis''<br/><!--GIDEROSMTD:Matrix:setScaleY(y scale) sets scale on y axis-->
[[Matrix:setTz]] - sets the value of the tz component<br/>
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[[Special:MyLanguage/Matrix:setScaleZ|Matrix:setScaleZ]] ''sets scale on z axis''<br/><!--GIDEROSMTD:Matrix:setScaleZ(z scale) sets scale on z axis-->
[[Matrix:setX]] - set x position<br/>
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[[Special:MyLanguage/Matrix:setTx|Matrix:setTx]] ''sets the value of the tx component''<br/><!--GIDEROSMTD:Matrix:setTx(tx) sets the value of the tx component-->
[[Matrix:setY]] - set y position<br/>
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[[Special:MyLanguage/Matrix:setTy|Matrix:setTy]] ''sets the value of the ty component''<br/><!--GIDEROSMTD:Matrix:setTy(ty) sets the value of the ty component-->
[[Matrix:setZ]] - set z position<br/>
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[[Special:MyLanguage/Matrix:setTz|Matrix:setTz]] ''sets the value of the tz component''<br/><!--GIDEROSMTD:Matrix:setTz(tz) sets the value of the tz component-->
[[Matrix:transformPoint]] - <br/>
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[[Special:MyLanguage/Matrix:setX|Matrix:setX]] ''sets x position''<br/><!--GIDEROSMTD:Matrix:setX(x) sets x position-->
[[Matrix:translate]] - combine existing translation with provided translation<br/>
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[[Special:MyLanguage/Matrix:setY|Matrix:setY]] ''sets y position''<br/><!--GIDEROSMTD:Matrix:setY(y) sets y position-->
| style="width: 50%;"|
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[[Special:MyLanguage/Matrix:setZ|Matrix:setZ]] ''sets z position''<br/><!--GIDEROSMTD:Matrix:setZ(z) sets z position-->
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[[Special:MyLanguage/Matrix:transformPoint|Matrix:transformPoint]] ''transforms the matrix''<br/><!--GIDEROSMTD:Matrix:transformPoint() transforms the matrix-->
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[[Special:MyLanguage/Matrix:translate|Matrix:translate]] ''combines existing translation with provided translation''<br/><!--GIDEROSMTD:Matrix:translate(x,y,z) combines existing translation with provided translation-->
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| style="width: 50%; vertical-align:top;"|
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=== Events ===
 
=== Events ===
 
=== Constants ===
 
=== Constants ===
 
|}
 
|}
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{{GIDEROS IMPORTANT LINKS}}

Latest revision as of 23:11, 21 September 2023

Supported platforms: Platform android.pngPlatform ios.pngPlatform mac.pngPlatform pc.pngPlatform html5.pngPlatform winrt.pngPlatform win32.png
Available since: Gideros 2011.6
Inherits from: Object

Description

The Matrix class specifies transformation from one coordinate space to another.

These transformations include translation, rotation, scaling and skewing.

A 2D transformation matrix is a 3 x 3 matrix in homogeneous coordinate system:

Matrix props.png

You can get and set the values of all six of the properties in a Matrix object: m11, m12, m21, m22, tx, and ty.

Since Gideros 2016.6, Matrix can also hold 3D (4x4) matrices.

Examples

Applying matrix to Sprite objects

local angle = math.rad(30)
-- create skew matrix
local m = Matrix.new(1, math.tan(angle), math.tan(angle), 1, 0, 0)
-- apply to Sprite
local sprite = Sprite.new()
sprite:setMatrix(m)

Methods

Matrix.new creates a new Matrix object
Matrix.fromSRT builds a matrix from scale/rotation/translation components

Matrix:duplicate returns a copy of this matrix
Matrix:getAnchorPosition gets anchor position from matrix transformation
Matrix:getElements returns the elements of this matrix instance
Matrix:getM11 returns the value of the m11 component
Matrix:getM12 returns the value of the m12 component
Matrix:getM21 returns the value of the m21 component
Matrix:getM22 returns the value of the m22 component
Matrix:getMatrix gets all 16 elements of 4x4 matrix
Matrix:getPosition gets position from matrix transformation
Matrix:getRotationX gets rotation on x axis
Matrix:getRotationY gets rotation on y axis
Matrix:getRotationZ get rotation on z axis
Matrix:getScale gets scale from matrix transformation
Matrix:getScaleX gets scale on x axis
Matrix:getScaleY gets scale on y axis
Matrix:getScaleZ gets scale on z axis
Matrix:getTx returns the value of the tx component
Matrix:getTy returns the value of the ty component
Matrix:getTz returns the value of the tz component
Matrix:getX gets x position
Matrix:getY gets y position
Matrix:getZ gets z position
Matrix:invert inverts the matrix
Matrix:multiply multiplies current matrix with new one
Matrix:orthographicProjection replaces this matrix by an orthographic projection
Matrix:perspectiveProjection replaces this matrix by a perspective projection
Matrix:perspectiveProjection replaces this matrix by a perspective projection
Matrix:rotate combines existing rotation with provided rotation
Matrix:scale combines existing scale with provided scale
Matrix:setAnchorPosition transform matrix for setting anchor position
Matrix:setElements sets all 6 elements of this matrix instance
Matrix:setM11 sets the value of the m11 component
Matrix:setM12 sets the value of the m12 component
Matrix:setM21 sets the value of the m21 component
Matrix:setM22 sets the value of the m22 component
Matrix:setMatrix set all 16 elements of 4x4 matrix
Matrix:setPosition transform matrix for setting position
Matrix:setRotationX sets rotation on x axis
Matrix:setRotationY sets rotation on y axis
Matrix:setRotationZ sets rotation on z axis
Matrix:setScale transform matrix for setting scale
Matrix:setScaleX sets scale on x axis
Matrix:setScaleY sets scale on y axis
Matrix:setScaleZ sets scale on z axis
Matrix:setTx sets the value of the tx component
Matrix:setTy sets the value of the ty component
Matrix:setTz sets the value of the tz component
Matrix:setX sets x position
Matrix:setY sets y position
Matrix:setZ sets z position
Matrix:transformPoint transforms the matrix
Matrix:translate combines existing translation with provided translation

Events

Constants