Difference between revisions of "Matrix"
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=== Methods === | === Methods === | ||
− | [[Matrix.new]] ''creates a new Matrix object''<br/><!-- GIDEROSMTD:Matrix.new(m11,m12,m21,m22,tx,ty) creates a new Matrix object --> | + | [[Matrix.new]] ''creates a new Matrix object''<br/><!--GIDEROSMTD:Matrix.new(m11,m12,m21,m22,tx,ty) creates a new Matrix object--> |
− | [[Matrix:getAnchorPosition]] '' | + | [[Matrix:getAnchorPosition]] ''gets anchor position from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getAnchorPosition() gets anchor position from matrix transformation--> |
− | [[Matrix:getElements]] ''returns the elements of this matrix instance''<br/><!-- GIDEROSMTD:Matrix:getElements() returns the elements of this matrix instance --> | + | [[Matrix:getElements]] ''returns the elements of this matrix instance''<br/><!--GIDEROSMTD:Matrix:getElements() returns the elements of this matrix instance--> |
− | [[Matrix:getM11]] ''returns the value of the m11 component''<br/><!-- GIDEROSMTD:Matrix:getM11() returns the value of the m11 component --> | + | [[Matrix:getM11]] ''returns the value of the m11 component''<br/><!--GIDEROSMTD:Matrix:getM11() returns the value of the m11 component--> |
− | [[Matrix:getM12]] ''returns the value of the m12 component''<br/><!-- GIDEROSMTD:Matrix:getM12() returns the value of the m12 component --> | + | [[Matrix:getM12]] ''returns the value of the m12 component''<br/><!--GIDEROSMTD:Matrix:getM12() returns the value of the m12 component--> |
− | [[Matrix:getM21]] ''returns the value of the m21 component''<br/><!-- GIDEROSMTD:Matrix:getM21() returns the value of the m21 component --> | + | [[Matrix:getM21]] ''returns the value of the m21 component''<br/><!--GIDEROSMTD:Matrix:getM21() returns the value of the m21 component--> |
− | [[Matrix:getM22]] ''returns the value of the m22 component''<br/><!-- GIDEROSMTD:Matrix:getM22() returns the value of the m22 component --> | + | [[Matrix:getM22]] ''returns the value of the m22 component''<br/><!--GIDEROSMTD:Matrix:getM22() returns the value of the m22 component--> |
− | [[Matrix:getMatrix]] '' | + | [[Matrix:getMatrix]] ''gets all 16 elements of 4x4 matrix''<br/><!--GIDEROSMTD:Matrix:getMatrix() gets all 16 elements of 4x4 matrix--> |
− | [[Matrix:getPosition]] '' | + | [[Matrix:getPosition]] ''gets position from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getPosition() gets position from matrix transformation--> |
− | [[Matrix:getRotationX]] '' | + | [[Matrix:getRotationX]] ''gets rotation on x axis''<br/><!--GIDEROSMTD:Matrix:getRotationX() gets rotation on x axis--> |
− | [[Matrix:getRotationY]] '' | + | [[Matrix:getRotationY]] ''gets rotation on y axis''<br/><!--GIDEROSMTD:Matrix:getRotationY() get rotation on y axis--> |
− | [[Matrix:getRotationZ]] ''get rotation | + | [[Matrix:getRotationZ]] ''get rotation on z axis''<br/><!--GIDEROSMTD:Matrix:getRotationZ() get rotation on z axis--> |
− | [[Matrix:getScale]] '' | + | [[Matrix:getScale]] ''gets scale from matrix transformation''<br/><!--GIDEROSMTD:Matrix:getScale() gets scale from matrix transformation--> |
− | [[Matrix:getScaleX]] '' | + | [[Matrix:getScaleX]] ''gets scale on x axis''<br/><!--GIDEROSMTD:Matrix:getScaleX() gets scale on x axis--> |
− | [[Matrix:getScaleY]] '' | + | [[Matrix:getScaleY]] ''gets scale on y axis''<br/><!--GIDEROSMTD:Matrix:getScaleY() gets scale on y axis--> |
− | [[Matrix:getScaleZ]] '' | + | [[Matrix:getScaleZ]] ''gets scale on z axis''<br/><!--GIDEROSMTD:Matrix:getScaleZ() gets scale on z axis--> |
− | [[Matrix:getTx]] ''returns the value of the tx component''<br/><!-- GIDEROSMTD:Matrix:getTx() returns the value of the tx component --> | + | [[Matrix:getTx]] ''returns the value of the tx component''<br/><!--GIDEROSMTD:Matrix:getTx() returns the value of the tx component--> |
− | [[Matrix:getTy]] ''returns the value of the ty component''<br/><!-- GIDEROSMTD:Matrix:getTy() returns the value of the ty component --> | + | [[Matrix:getTy]] ''returns the value of the ty component''<br/><!--GIDEROSMTD:Matrix:getTy() returns the value of the ty component--> |
− | [[Matrix:getTz]] ''returns the value of the tz component''<br/><!-- GIDEROSMTD:Matrix:getTz() returns the value of the tz component --> | + | [[Matrix:getTz]] ''returns the value of the tz component''<br/><!--GIDEROSMTD:Matrix:getTz() returns the value of the tz component--> |
− | [[Matrix:getX]] '' | + | [[Matrix:getX]] ''gets x position''<br/><!--GIDEROSMTD:Matrix:getX() gets x position--> |
− | [[Matrix:getY]] '' | + | [[Matrix:getY]] ''gets y position''<br/><!--GIDEROSMTD:Matrix:getY() gets y position--> |
− | [[Matrix:getZ]] '' | + | [[Matrix:getZ]] ''gets z position''<br/><!--GIDEROSMTD:Matrix:getZ() gets z position--> |
− | [[Matrix:invert]] <br/><!-- GIDEROSMTD:Matrix:invert() | + | [[Matrix:invert]] ''inverts the matrix''<br/><!--GIDEROSMTD:Matrix:invert() inverts the matrix--> |
− | [[Matrix:multiply]] '' | + | [[Matrix:multiply]] ''multiplies current matrix with new one''<br/><!--GIDEROSMTD:Matrix:multiply(matrix) multiplies current matrix with new one--> |
− | [[Matrix:orthographicProjection]] <br/><!-- GIDEROSMTD:Matrix:orthographicProjection(left,right,bottom,top,near,far) | + | [[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:perspectiveProjection]] <br/><!-- GIDEROSMTD:Matrix:perspectiveProjection(left,right,bottom,top,near,far) | + | [[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:perspectiveProjection]] <br/><!-- GIDEROSMTD:Matrix:perspectiveProjection(fov,aspect,near,far) | + | [[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: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: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:setAnchorPosition]] ''transform matrix for setting anchor position''<br/><!-- GIDEROSMTD:Matrix:setAnchorPosition(x,y,z) transform matrix for setting anchor position --> | + | [[Matrix:setAnchorPosition]] ''transform matrix for setting anchor position''<br/><!--GIDEROSMTD:Matrix:setAnchorPosition(x,y,z) transform matrix for setting anchor position--> |
− | [[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: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:setM11]] ''sets the value of the m11 component''<br/><!-- GIDEROSMTD:Matrix:setM11(m11) sets the value of the m11 component --> | + | [[Matrix:setM11]] ''sets the value of the m11 component''<br/><!--GIDEROSMTD:Matrix:setM11(m11) sets the value of the m11 component--> |
− | [[Matrix:setM12]] ''sets the value of the | + | [[Matrix:setM12]] ''sets the value of the m12 component''<br/><!--GIDEROSMTD:Matrix:setM12(m12) sets the value of the m12 component--> |
− | [[Matrix:setM21]] <br/><!-- GIDEROSMTD:Matrix:setM21(m21) | + | [[Matrix:setM21]] ''sets the value of the m21 component''<br/><!--GIDEROSMTD:Matrix:setM21(m21) sets the value of the m21 component--> |
− | [[Matrix:setM22]] | + | [[Matrix:setM22]] ''sets the value of the m22 component''<br/><!--GIDEROSMTD:Matrix:setM22(m22) sets the value of the m22 component--> |
− | [[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: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:setPosition]] ''transform matrix for setting position''<br/><!-- GIDEROSMTD:Matrix:setPosition(x,y,z) transform matrix for setting position --> | + | [[Matrix:setPosition]] ''transform matrix for setting position''<br/><!--GIDEROSMTD:Matrix:setPosition(x,y,z) transform matrix for setting position--> |
− | [[Matrix:setRotationX]] '' | + | [[Matrix:setRotationX]] ''sets rotation on x axis''<br/><!--GIDEROSMTD:Matrix:setRotationX(x rotation) sets rotation on x axis--> |
− | [[Matrix:setRotationY]] '' | + | [[Matrix:setRotationY]] ''sets rotation on y axis''<br/><!--GIDEROSMTD:Matrix:setRotationY(y rotation) sets rotation on y axis--> |
− | [[Matrix:setRotationZ]] '' | + | [[Matrix:setRotationZ]] ''sets rotation on z axis''<br/><!--GIDEROSMTD:Matrix:setRotationZ(z rotation) sets rotation on z axis--> |
− | [[Matrix:setScale]] ''transform matrix for setting scale''<br/><!-- GIDEROSMTD:Matrix:setScale(x,y,z) transform matrix for setting scale --> | + | [[Matrix:setScale]] ''transform matrix for setting scale''<br/><!--GIDEROSMTD:Matrix:setScale(x,y,z) transform matrix for setting scale--> |
− | [[Matrix:setScaleX]] '' | + | [[Matrix:setScaleX]] ''sets scale on x axis''<br/><!--GIDEROSMTD:Matrix:setScaleX(x scale) sets scale on x axis--> |
− | [[Matrix:setScaleY]] '' | + | [[Matrix:setScaleY]] ''sets scale on y axis''<br/><!--GIDEROSMTD:Matrix:setScaleY(y scale) sets scale on y axis--> |
− | [[Matrix:setScaleZ]] '' | + | [[Matrix:setScaleZ]] ''sets scale on z axis''<br/><!--GIDEROSMTD:Matrix:setScaleZ(z scale) sets scale on z axis--> |
− | [[Matrix:setTx]] ''sets the value of the tx component''<br/><!-- GIDEROSMTD:Matrix:setTx(tx) sets the value of the tx component --> | + | [[Matrix:setTx]] ''sets the value of the tx component''<br/><!--GIDEROSMTD:Matrix:setTx(tx) sets the value of the tx component--> |
− | [[Matrix:setTy]] ''sets the value of the ty component''<br/><!-- GIDEROSMTD:Matrix:setTy(ty) sets the value of the ty component --> | + | [[Matrix:setTy]] ''sets the value of the ty component''<br/><!--GIDEROSMTD:Matrix:setTy(ty) sets the value of the ty component--> |
− | [[Matrix:setTz]] ''sets the value of the tz component''<br/><!-- GIDEROSMTD:Matrix:setTz(tz) sets the value of the tz component --> | + | [[Matrix:setTz]] ''sets the value of the tz component''<br/><!--GIDEROSMTD:Matrix:setTz(tz) sets the value of the tz component--> |
− | [[Matrix:setX]] '' | + | [[Matrix:setX]] ''sets x position''<br/><!--GIDEROSMTD:Matrix:setX(x) sets x position--> |
− | [[Matrix:setY]] '' | + | [[Matrix:setY]] ''sets y position''<br/><!--GIDEROSMTD:Matrix:setY(y) sets y position--> |
− | [[Matrix:setZ]] '' | + | [[Matrix:setZ]] ''sets z position''<br/><!--GIDEROSMTD:Matrix:setZ(z) sets z position--> |
− | [[Matrix:transformPoint]] <br/><!-- GIDEROSMTD:Matrix:transformPoint() | + | [[Matrix:transformPoint]] ''transforms the matrix''<br/><!--GIDEROSMTD:Matrix:transformPoint() transforms the matrix--> |
− | [[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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Revision as of 07:44, 25 December 2020
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 |
EventsConstants |