Difference between revisions of "Matrix"
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__NOTOC__ | __NOTOC__ | ||
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<!-- GIDEROSOBJ:Matrix --> | <!-- GIDEROSOBJ:Matrix --> | ||
− | ''' | + | '''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/> |
− | <br/> | + | '''Available since:''' Gideros 2011.6<br/> |
− | ''' | + | '''Inherits from:''' [[Object]]<br/> |
− | <br/> | ||
− | ''' | ||
− | <br/> | ||
− | === | + | === Description === |
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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. | ||
− | + | ||
These transformations include translation, rotation, scaling and skewing. | These transformations include translation, rotation, scaling and skewing. | ||
+ | A 2D transformation matrix is a 3 x 3 matrix in homogeneous coordinate system: | ||
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[[File:Matrix props.png]] | [[File:Matrix props.png]] | ||
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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''. | You can get and set the values of all six of the properties in a Matrix object: ''m11'', ''m12'', ''m21'', ''m22'', ''tx'', and ''ty''. | ||
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Since Gideros 2016.6, Matrix can also hold 3D (4x4) matrices. | Since Gideros 2016.6, Matrix can also hold 3D (4x4) matrices. | ||
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− | === | + | === Examples === |
'''Applying matrix to Sprite objects''' | '''Applying matrix to Sprite objects''' | ||
− | < | + | <syntaxhighlight lang="lua"> |
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local angle = math.rad(30) | local angle = math.rad(30) | ||
-- create skew matrix | -- create skew matrix | ||
Line 38: | Line 27: | ||
local sprite = Sprite.new() | local sprite = Sprite.new() | ||
sprite:setMatrix(m) | sprite:setMatrix(m) | ||
− | </ | + | </syntaxhighlight> |
{|- | {|- | ||
| style="width: 50%; vertical-align:top;"| | | style="width: 50%; vertical-align:top;"| | ||
− | === | + | === Methods === |
− | [[ | + | [[Matrix.new]] ''creates a new Matrix object''<br/><!--GIDEROSMTD:Matrix.new(m11,m12,m21,m22,tx,ty) creates a new Matrix object--> |
− | [[ | + | [[Matrix.fromSRT]] ''builds a matrix from scale/rotation/translation components''<br/><!--GIDEROSMTD:Matrix.fromSRT(srt,reverse) builds a matrix from scale/rotation/translation components --> |
− | [[Special:MyLanguage/Matrix: | + | |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:duplicate|Matrix:duplicate]] ''returns a copy of this matrix''<br/><!--GIDEROSMTD:Matrix:duplicate() returns a copy of this matrix --> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getAnchorPosition|Matrix:getAnchorPosition]] ''gets anchor position from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getAnchorPosition() gets anchor position from matrix transformation--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getElements|Matrix:getElements]] ''returns the elements of this matrix instance''<br/><!--GIDEROSMTD:Matrix:getElements() returns the elements of this matrix instance--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getM11|Matrix:getM11]] ''returns the value of the m11 component''<br/><!--GIDEROSMTD:Matrix:getM11() returns the value of the m11 component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getM12|Matrix:getM12]] ''returns the value of the m12 component''<br/><!--GIDEROSMTD:Matrix:getM12() returns the value of the m12 component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getM21|Matrix:getM21]] ''returns the value of the m21 component''<br/><!--GIDEROSMTD:Matrix:getM21() returns the value of the m21 component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getM22|Matrix:getM22]] ''returns the value of the m22 component''<br/><!--GIDEROSMTD:Matrix:getM22() returns the value of the m22 component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getMatrix|Matrix:getMatrix]] ''gets all 16 elements of 4x4 matrix''<br/><!--GIDEROSMTD:Matrix:getMatrix() gets all 16 elements of 4x4 matrix--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getPosition|Matrix:getPosition]] ''gets position from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getPosition() gets position from matrix transformation--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getRotationX|Matrix:getRotationX]] ''gets rotation on x axis''<br/><!--GIDEROSMTD:Matrix:getRotationX() gets rotation on x axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getRotationY|Matrix:getRotationY]] ''gets rotation on y axis''<br/><!--GIDEROSMTD:Matrix:getRotationY() get rotation on y axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getRotationZ|Matrix:getRotationZ]] ''get rotation on z axis''<br/><!--GIDEROSMTD:Matrix:getRotationZ() get rotation on z axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getScale|Matrix:getScale]] ''gets scale from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getScale() gets scale from matrix transformation--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getScaleX|Matrix:getScaleX]] ''gets scale on x axis''<br/><!--GIDEROSMTD:Matrix:getScaleX() gets scale on x axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getScaleY|Matrix:getScaleY]] ''gets scale on y axis''<br/><!--GIDEROSMTD:Matrix:getScaleY() gets scale on y axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getScaleZ|Matrix:getScaleZ]] ''gets scale on z axis''<br/><!--GIDEROSMTD:Matrix:getScaleZ() gets scale on z axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getTx|Matrix:getTx]] ''returns the value of the tx component''<br/><!--GIDEROSMTD:Matrix:getTx() returns the value of the tx component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getTy|Matrix:getTy]] ''returns the value of the ty component''<br/><!--GIDEROSMTD:Matrix:getTy() returns the value of the ty component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getTz|Matrix:getTz]] ''returns the value of the tz component''<br/><!--GIDEROSMTD:Matrix:getTz() returns the value of the tz component--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getX|Matrix:getX]] ''gets x position''<br/><!--GIDEROSMTD:Matrix:getX() gets x position--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getY|Matrix:getY]] ''gets y position''<br/><!--GIDEROSMTD:Matrix:getY() gets y position--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:getZ|Matrix:getZ]] ''gets z position''<br/><!--GIDEROSMTD:Matrix:getZ() gets z position--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:invert|Matrix:invert]] ''inverts the matrix''<br/><!--GIDEROSMTD:Matrix:invert() inverts the matrix--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:multiply|Matrix:multiply]] ''multiplies current matrix with new one''<br/><!--GIDEROSMTD:Matrix:multiply(matrix) multiplies current matrix with new one--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setPosition|Matrix:setPosition]] ''transform matrix for setting position''<br/><!--GIDEROSMTD:Matrix:setPosition(x,y,z) transform matrix for setting position--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setRotationX|Matrix:setRotationX]] ''sets rotation on x axis''<br/><!--GIDEROSMTD:Matrix:setRotationX(x rotation) sets rotation on x axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setRotationY|Matrix:setRotationY]] ''sets rotation on y axis''<br/><!--GIDEROSMTD:Matrix:setRotationY(y rotation) sets rotation on y axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setRotationZ|Matrix:setRotationZ]] ''sets rotation on z axis''<br/><!--GIDEROSMTD:Matrix:setRotationZ(z rotation) sets rotation on z axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setScale|Matrix:setScale]] ''transform matrix for setting scale''<br/><!--GIDEROSMTD:Matrix:setScale(x,y,z) transform matrix for setting scale--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setScaleX|Matrix:setScaleX]] ''sets scale on x axis''<br/><!--GIDEROSMTD:Matrix:setScaleX(x scale) sets scale on x axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setScaleY|Matrix:setScaleY]] ''sets scale on y axis''<br/><!--GIDEROSMTD:Matrix:setScaleY(y scale) sets scale on y axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[Special:MyLanguage/Matrix:setScaleZ|Matrix:setScaleZ]] ''sets scale on z axis''<br/><!--GIDEROSMTD:Matrix:setScaleZ(z scale) sets scale on z axis--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | [[Special:MyLanguage/Matrix: | + | [[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--> |
− | + | [[Special:MyLanguage/Matrix:setX|Matrix:setX]] ''sets x position''<br/><!--GIDEROSMTD:Matrix:setX(x) sets x position--> | |
− | [[Special:MyLanguage/Matrix:translate|Matrix:translate]] '' | + | [[Special:MyLanguage/Matrix:setY|Matrix:setY]] ''sets y position''<br/><!--GIDEROSMTD:Matrix:setY(y) sets y position--> |
+ | [[Special:MyLanguage/Matrix:setZ|Matrix:setZ]] ''sets z position''<br/><!--GIDEROSMTD:Matrix:setZ(z) sets z position--> | ||
+ | [[Special:MyLanguage/Matrix:transformPoint|Matrix:transformPoint]] ''transforms the matrix''<br/><!--GIDEROSMTD:Matrix:transformPoint() transforms the matrix--> | ||
+ | [[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--> | ||
+ | |||
| style="width: 50%; vertical-align:top;"| | | style="width: 50%; vertical-align:top;"| | ||
− | === | + | |
− | === | + | === Events === |
+ | === Constants === | ||
|} | |} | ||
+ | |||
+ | {{GIDEROS IMPORTANT LINKS}} |
Latest revision as of 22:11, 21 September 2023
Supported platforms:
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:
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)
MethodsMatrix.new creates a new Matrix object Matrix:duplicate returns a copy of this matrix |
EventsConstants |