Difference between revisions of "Matrix"

From GiderosMobile
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<br />
 
<br />
 
You can get and set the values of all six of the properties in a<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 />
+
Matrix object: [[Special:MyLanguage/m11|m11]], [[Special:MyLanguage/m12|m12]], [[Special:MyLanguage/m21|m21]], [[Special:MyLanguage/m22|m22]], [[Special:MyLanguage/tx|tx]], and [[Special:MyLanguage/ty|ty]].<br />
 
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<br />
  
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=== Methods ===
 
=== Methods ===
[[Matrix.new]] ''<translate>creates a new Matrix object</translate>''<br/>
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[[Special:MyLanguage/Matrix.new|Matrix.new]] ''<translate>creates a new Matrix object</translate>''<br/>
[[Matrix:getAnchorPosition]] ''<translate>get anchor position from matrix transformation</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getAnchorPosition|Matrix:getAnchorPosition]] ''<translate>get anchor position from matrix transformation</translate>''<br/>
[[Matrix:getElements]] ''<translate>returns the elements of this matrix instance</translate>''<br/>
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[[Special:MyLanguage/Matrix:getElements|Matrix:getElements]] ''<translate>returns the elements of this matrix instance</translate>''<br/>
[[Matrix:getM11]] ''<translate>returns the value of the m11 component</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getM11|Matrix:getM11]] ''<translate>returns the value of the m11 component</translate>''<br/>
[[Matrix:getM12]] ''<translate>returns the value of the m12 component</translate>''<br/>
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[[Special:MyLanguage/Matrix:getM12|Matrix:getM12]] ''<translate>returns the value of the m12 component</translate>''<br/>
[[Matrix:getM21]] ''<translate>returns the value of the m21 component</translate>''<br/>
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[[Special:MyLanguage/Matrix:getM21|Matrix:getM21]] ''<translate>returns the value of the m21 component</translate>''<br/>
[[Matrix:getM22]] ''<translate>returns the value of the m22 component</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getM22|Matrix:getM22]] ''<translate>returns the value of the m22 component</translate>''<br/>
[[Matrix:getMatrix]] ''<translate>get all 16 elements of 4x4 matrix</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getMatrix|Matrix:getMatrix]] ''<translate>get all 16 elements of 4x4 matrix</translate>''<br/>
[[Matrix:getPosition]] ''<translate>get position from matrix transformation</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getPosition|Matrix:getPosition]] ''<translate>get position from matrix transformation</translate>''<br/>
[[Matrix:getRotationX]] ''<translate>get rotation for x axis</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getRotationX|Matrix:getRotationX]] ''<translate>get rotation for x axis</translate>''<br/>
[[Matrix:getRotationY]] ''<translate>get rotation on y axis</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getRotationY|Matrix:getRotationY]] ''<translate>get rotation on y axis</translate>''<br/>
[[Matrix:getRotationZ]] ''<translate>get rotation for z axis</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getRotationZ|Matrix:getRotationZ]] ''<translate>get rotation for z axis</translate>''<br/>
[[Matrix:getScale]] ''<translate>get scale from matrix transformation</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getScale|Matrix:getScale]] ''<translate>get scale from matrix transformation</translate>''<br/>
[[Matrix:getScaleX]] ''<translate>get scale on x axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:getScaleX|Matrix:getScaleX]] ''<translate>get scale on x axis</translate>''<br/>
[[Matrix:getScaleY]] ''<translate>get scale on y axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:getScaleY|Matrix:getScaleY]] ''<translate>get scale on y axis</translate>''<br/>
[[Matrix:getScaleZ]] ''<translate>get scale on z axis</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getScaleZ|Matrix:getScaleZ]] ''<translate>get scale on z axis</translate>''<br/>
[[Matrix:getTx]] ''<translate>returns the value of the tx component</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getTx|Matrix:getTx]] ''<translate>returns the value of the tx component</translate>''<br/>
[[Matrix:getTy]] ''<translate>returns the value of the ty component</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getTy|Matrix:getTy]] ''<translate>returns the value of the ty component</translate>''<br/>
[[Matrix:getTz]] ''<translate>returns the value of the tz component</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getTz|Matrix:getTz]] ''<translate>returns the value of the tz component</translate>''<br/>
[[Matrix:getX]] ''<translate>get x position</translate>''<br/>
+
[[Special:MyLanguage/Matrix:getX|Matrix:getX]] ''<translate>get x position</translate>''<br/>
[[Matrix:getY]] ''<translate>get y position</translate>''<br/>
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[[Special:MyLanguage/Matrix:getY|Matrix:getY]] ''<translate>get y position</translate>''<br/>
[[Matrix:getZ]] ''<translate>get z position</translate>''<br/>
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[[Special:MyLanguage/Matrix:getZ|Matrix:getZ]] ''<translate>get z position</translate>''<br/>
[[Matrix:invert]] <br/>
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[[Special:MyLanguage/Matrix:invert|Matrix:invert]] <br/>
[[Matrix:multiply]] ''<translate>Multiply current matrix with new one</translate>''<br/>
+
[[Special:MyLanguage/Matrix:multiply|Matrix:multiply]] ''<translate>Multiply current matrix with new one</translate>''<br/>
[[Matrix:orthographicProjection]] <br/>
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[[Special:MyLanguage/Matrix:orthographicProjection|Matrix:orthographicProjection]] <br/>
[[Matrix:perspectiveProjection]] <br/>
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[[Special:MyLanguage/Matrix:perspectiveProjection|Matrix:perspectiveProjection]] <br/>
[[Matrix:perspectiveProjection]] <br/>
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[[Special:MyLanguage/Matrix:perspectiveProjection|Matrix:perspectiveProjection]] <br/>
[[Matrix:rotate]] ''<translate>combine existing rotation with provided</translate>''<br/>
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[[Special:MyLanguage/Matrix:rotate|Matrix:rotate]] ''<translate>combine existing rotation with provided</translate>''<br/>
[[Matrix:scale]] ''<translate>combine existing scale with provided scale</translate>''<br/>
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[[Special:MyLanguage/Matrix:scale|Matrix:scale]] ''<translate>combine existing scale with provided scale</translate>''<br/>
[[Matrix:setAnchorPosition]] ''<translate>transform matrix for setting anchor position</translate>''<br/>
+
[[Special:MyLanguage/Matrix:setAnchorPosition|Matrix:setAnchorPosition]] ''<translate>transform matrix for setting anchor position</translate>''<br/>
[[Matrix:setElements]] ''<translate>sets all 6 elements of this matrix instance</translate>''<br/>
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[[Special:MyLanguage/Matrix:setElements|Matrix:setElements]] ''<translate>sets all 6 elements of this matrix instance</translate>''<br/>
[[Matrix:setM11]] ''<translate>sets the value of the m11 component</translate>''<br/>
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[[Special:MyLanguage/Matrix:setM11|Matrix:setM11]] ''<translate>sets the value of the m11 component</translate>''<br/>
[[Matrix:setM12]] ''<translate>sets the value of the m22 component</translate>''<br/>
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[[Special:MyLanguage/Matrix:setM12|Matrix:setM12]] ''<translate>sets the value of the m22 component</translate>''<br/>
[[Matrix:setM21]] <br/>
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[[Special:MyLanguage/Matrix:setM21|Matrix:setM21]] <br/>
[[Matrix:setM22]] <br/>
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[[Special:MyLanguage/Matrix:setM22|Matrix:setM22]] <br/>
[[Matrix:setMatrix]] ''<translate>set all 16 elements of 4x4 matrix</translate>''<br/>
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[[Special:MyLanguage/Matrix:setMatrix|Matrix:setMatrix]] ''<translate>set all 16 elements of 4x4 matrix</translate>''<br/>
[[Matrix:setPosition]] ''<translate>transform matrix for setting position</translate>''<br/>
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[[Special:MyLanguage/Matrix:setPosition|Matrix:setPosition]] ''<translate>transform matrix for setting position</translate>''<br/>
[[Matrix:setRotationX]] ''<translate>set rotation on x axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:setRotationX|Matrix:setRotationX]] ''<translate>set rotation on x axis</translate>''<br/>
[[Matrix:setRotationY]] ''<translate>set rotation on y axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:setRotationY|Matrix:setRotationY]] ''<translate>set rotation on y axis</translate>''<br/>
[[Matrix:setRotationZ]] ''<translate>set rotation on z axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:setRotationZ|Matrix:setRotationZ]] ''<translate>set rotation on z axis</translate>''<br/>
[[Matrix:setScale]] ''<translate>transform matrix for setting scale</translate>''<br/>
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[[Special:MyLanguage/Matrix:setScale|Matrix:setScale]] ''<translate>transform matrix for setting scale</translate>''<br/>
[[Matrix:setScaleX]] ''<translate>set scale on x axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:setScaleX|Matrix:setScaleX]] ''<translate>set scale on x axis</translate>''<br/>
[[Matrix:setScaleY]] ''<translate>set scale on y axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:setScaleY|Matrix:setScaleY]] ''<translate>set scale on y axis</translate>''<br/>
[[Matrix:setScaleZ]] ''<translate>set scale on z axis</translate>''<br/>
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[[Special:MyLanguage/Matrix:setScaleZ|Matrix:setScaleZ]] ''<translate>set scale on z axis</translate>''<br/>
[[Matrix:setTx]] ''<translate>sets the value of the tx component</translate>''<br/>
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[[Special:MyLanguage/Matrix:setTx|Matrix:setTx]] ''<translate>sets the value of the tx component</translate>''<br/>
[[Matrix:setTy]] ''<translate>sets the value of the ty component</translate>''<br/>
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[[Special:MyLanguage/Matrix:setTy|Matrix:setTy]] ''<translate>sets the value of the ty component</translate>''<br/>
[[Matrix:setTz]] ''<translate>sets the value of the tz component</translate>''<br/>
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[[Special:MyLanguage/Matrix:setTz|Matrix:setTz]] ''<translate>sets the value of the tz component</translate>''<br/>
[[Matrix:setX]] ''<translate>set x position</translate>''<br/>
+
[[Special:MyLanguage/Matrix:setX|Matrix:setX]] ''<translate>set x position</translate>''<br/>
[[Matrix:setY]] ''<translate>set y position</translate>''<br/>
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[[Special:MyLanguage/Matrix:setY|Matrix:setY]] ''<translate>set y position</translate>''<br/>
[[Matrix:setZ]] ''<translate>set z position</translate>''<br/>
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[[Special:MyLanguage/Matrix:setZ|Matrix:setZ]] ''<translate>set z position</translate>''<br/>
[[Matrix:transformPoint]] <br/>
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[[Special:MyLanguage/Matrix:transformPoint|Matrix:transformPoint]] <br/>
[[Matrix:translate]] ''<translate>combine existing translation with provided translation</translate>''<br/>
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[[Special:MyLanguage/Matrix:translate|Matrix:translate]] ''<translate>combine existing translation with provided translation</translate>''<br/>
 
| style="width: 50%; vertical-align:top;"|
 
| style="width: 50%; vertical-align:top;"|
 
=== Events ===
 
=== Events ===
 
=== Constants ===
 
=== Constants ===
 
|}
 
|}

Revision as of 17:33, 23 August 2018

Supported platforms: android, ios, mac, pc
Available since: Gideros 2011.6

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 homogenous coordinate system:

![images/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)
--aply to Sprite
local sprite = Sprite.new()
sprite:setMatrix(m)

Methods

Matrix.new creates a new Matrix object
Matrix:getAnchorPosition get 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 get all 16 elements of 4x4 matrix
Matrix:getPosition get position from matrix transformation
Matrix:getRotationX get rotation for x axis
Matrix:getRotationY get rotation on y axis
Matrix:getRotationZ get rotation for z axis
Matrix:getScale get scale from matrix transformation
Matrix:getScaleX get scale on x axis
Matrix:getScaleY get scale on y axis
Matrix:getScaleZ get 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 get x position
Matrix:getY get y position
Matrix:getZ get z position
Matrix:invert
Matrix:multiply Multiply current matrix with new one
Matrix:orthographicProjection
Matrix:perspectiveProjection
Matrix:perspectiveProjection
Matrix:rotate combine existing rotation with provided
Matrix:scale combine 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 m22 component
Matrix:setM21
Matrix:setM22
Matrix:setMatrix set all 16 elements of 4x4 matrix
Matrix:setPosition transform matrix for setting position
Matrix:setRotationX set rotation on x axis
Matrix:setRotationY set rotation on y axis
Matrix:setRotationZ set rotation on z axis
Matrix:setScale transform matrix for setting scale
Matrix:setScaleX set scale on x axis
Matrix:setScaleY set scale on y axis
Matrix:setScaleZ set 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 set x position
Matrix:setY set y position
Matrix:setZ set z position
Matrix:transformPoint
Matrix:translate combine existing translation with provided translation

Events

Constants