Affine (JavaFX 8)

java.lang.Object
- javafx.scene.transform.Transform
- - javafx.scene.transform.Affine

All Implemented Interfaces:

Cloneable, EventTarget
```
public class Affine
extends Transform
```
The Affine class represents a general affine transform. An affine transform performs a linear mapping from 2D/3D coordinates to other 2D/3D coordinates while preserving the "straightness" and "parallelness" of lines. Affine transformations can be constructed using sequence rotations, translations, scales, and shears.

For simple transformations application developers should use the specific Translate, Scale, Rotate, or Shear transforms, which are more lightweight and thus more optimal for this simple purpose. The Affine class, on the other hand, has the advantage of being able to represent a general affine transform and perform matrix operations on it in place, so it fits better for more complex transformation usages.

Such a coordinate transformation can be represented by a 3 row by 4 column matrix. This matrix transforms source coordinates (x,y,z) into destination coordinates (x',y',z') by considering them to be a column vector and multiplying the coordinate vector by the matrix according to the following process:
```
      [ x']   [  mxx  mxy  mxz  tx  ] [ x ]   [ mxx * x + mxy * y + mxz * z + tx ]
      [ y'] = [  myx  myy  myz  ty  ] [ y ] = [ myx * x + myy * y + myz * z + ty ]
      [ z']   [  mzx  mzy  mzz  tz  ] [ z ]   [ mzx * x + mzy * y + mzz * z + tz ]
                                      [ 1 ]
 
```
Since:

JavaFX 2.0

Property Summary

All Methods Instance Methods Concrete Methods
Type	Property and Description
`DoubleProperty`	`mxx` Defines the X coordinate scaling element of the 3x4 matrix.
`DoubleProperty`	`mxy` Defines the XY coordinate element of the 3x4 matrix.
`DoubleProperty`	`mxz` Defines the XZ coordinate element of the 3x4 matrix.
`DoubleProperty`	`myx` Defines the YX coordinate element of the 3x4 matrix.
`DoubleProperty`	`myy` Defines the Y coordinate scaling element of the 3x4 matrix.
`DoubleProperty`	`myz` Defines the YZ coordinate element of the 3x4 matrix.
`DoubleProperty`	`mzx` Defines the ZX coordinate element of the 3x4 matrix.
`DoubleProperty`	`mzy` Defines the ZY coordinate element of the 3x4 matrix.
`DoubleProperty`	`mzz` Defines the Z coordinate scaling element of the 3x4 matrix.
`DoubleProperty`	`tx` Defines the X coordinate translation element of the 3x4 matrix.
`DoubleProperty`	`ty` Defines the Y coordinate translation element of the 3x4 matrix.
`DoubleProperty`	`tz` Defines the Z coordinate translation element of the 3x4 matrix.

Properties inherited from class javafx.scene.transform.Transform
identity, onTransformChanged, type2D

Constructor Summary

Constructors
Constructor and Description
`Affine()` Creates a new instance of `Affine` containing an identity transform.
`Affine(double[] matrix, MatrixType type, int offset)` Creates a new instance of `Affine` with a transformation matrix specified by an array.
`Affine(double mxx, double mxy, double tx, double myx, double myy, double ty)` Creates a new instance of `Affine` with a 2D transform specified by the element values.
`Affine(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz)` Creates a new instance of `Affine` with a transform specified by the element values.
`Affine(Transform transform)` Creates a new instance of `Affine` filled with the values from the specified transform.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method and Description
`void`	`append(double[] matrix, MatrixType type, int offset)` Appends the transform specified by the array to this instance.
`void`	`append(double mxx, double mxy, double tx, double myx, double myy, double ty)` Appends the 2D transform specified by the element values to this instance.
`void`	`append(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz)` Appends the transform specified by the element values to this instance.
`void`	`append(Transform transform)` Appends the specified transform to this instance.
`void`	`appendRotation(double angle)` Appends the 2D rotation to this instance.
`void`	`appendRotation(double angle, double pivotX, double pivotY)` Appends the 2D rotation with pivot to this instance.
`void`	`appendRotation(double angle, double pivotX, double pivotY, double pivotZ, double axisX, double axisY, double axisZ)` Appends the rotation to this instance.
`void`	`appendRotation(double angle, double pivotX, double pivotY, double pivotZ, Point3D axis)` Appends the rotation to this instance.
`void`	`appendRotation(double angle, Point2D pivot)` Appends the 2D rotation with pivot to this instance.
`void`	`appendRotation(double angle, Point3D pivot, Point3D axis)` Appends the rotation to this instance.
`void`	`appendScale(double sx, double sy)` Appends the 2D scale to this instance.
`void`	`appendScale(double sx, double sy, double sz)` Appends the scale to this instance.
`void`	`appendScale(double sx, double sy, double pivotX, double pivotY)` Appends the 2D scale with pivot to this instance.
`void`	`appendScale(double sx, double sy, double sz, double pivotX, double pivotY, double pivotZ)` Appends the scale with pivot to this instance.
`void`	`appendScale(double sx, double sy, double sz, Point3D pivot)` Appends the scale with pivot to this instance.
`void`	`appendScale(double sx, double sy, Point2D pivot)` Appends the 2D scale with pivot to this instance.
`void`	`appendShear(double shx, double shy)` Appends the shear to this instance.
`void`	`appendShear(double shx, double shy, double pivotX, double pivotY)` Appends the shear with pivot to this instance.
`void`	`appendShear(double shx, double shy, Point2D pivot)` Appends the shear with pivot to this instance.
`void`	`appendTranslation(double tx, double ty)` Appends the 2D translation to this instance.
`void`	`appendTranslation(double tx, double ty, double tz)` Appends the translation to this instance.
`Affine`	`clone()` Returns a deep copy of this transform.
`Transform`	`createConcatenation(Transform transform)` Returns the concatenation of this transform and the specified transform.
`Affine`	`createInverse()` Returns the inverse transform of this transform.
`Point2D`	`deltaTransform(double x, double y)` Transforms the relative magnitude vector by this transform.
`Point3D`	`deltaTransform(double x, double y, double z)` Transforms the relative magnitude vector by this transform.
`double`	`determinant()` Computes determinant of the transformation matrix.
`double`	`getMxx()` Gets the value of the property mxx.
`double`	`getMxy()` Gets the value of the property mxy.
`double`	`getMxz()` Gets the value of the property mxz.
`double`	`getMyx()` Gets the value of the property myx.
`double`	`getMyy()` Gets the value of the property myy.
`double`	`getMyz()` Gets the value of the property myz.
`double`	`getMzx()` Gets the value of the property mzx.
`double`	`getMzy()` Gets the value of the property mzy.
`double`	`getMzz()` Gets the value of the property mzz.
`double`	`getTx()` Gets the value of the property tx.
`double`	`getTy()` Gets the value of the property ty.
`double`	`getTz()` Gets the value of the property tz.
`Point2D`	`inverseDeltaTransform(double x, double y)` Transforms the relative magnitude vector by the inverse of this transform.
`Point3D`	`inverseDeltaTransform(double x, double y, double z)` Transforms the relative magnitude vector by the inverse of this transform.
`Point2D`	`inverseTransform(double x, double y)` Transforms the specified point by the inverse of this transform.
`Point3D`	`inverseTransform(double x, double y, double z)` Transforms the specified point by the inverse of this transform.
`void`	`invert()` Inverts this transform in place.
`DoubleProperty`	`mxxProperty()` Defines the X coordinate scaling element of the 3x4 matrix.
`DoubleProperty`	`mxyProperty()` Defines the XY coordinate element of the 3x4 matrix.
`DoubleProperty`	`mxzProperty()` Defines the XZ coordinate element of the 3x4 matrix.
`DoubleProperty`	`myxProperty()` Defines the YX coordinate element of the 3x4 matrix.
`DoubleProperty`	`myyProperty()` Defines the Y coordinate scaling element of the 3x4 matrix.
`DoubleProperty`	`myzProperty()` Defines the YZ coordinate element of the 3x4 matrix.
`DoubleProperty`	`mzxProperty()` Defines the ZX coordinate element of the 3x4 matrix.
`DoubleProperty`	`mzyProperty()` Defines the ZY coordinate element of the 3x4 matrix.
`DoubleProperty`	`mzzProperty()` Defines the Z coordinate scaling element of the 3x4 matrix.
`void`	`prepend(double[] matrix, MatrixType type, int offset)` Prepends the transform specified by the array to this instance.
`void`	`prepend(double mxx, double mxy, double tx, double myx, double myy, double ty)` Prepends the 2D transform specified by the element values to this instance.
`void`	`prepend(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz)` Prepends the transform specified by the element values to this instance.
`void`	`prepend(Transform transform)` Prepends the specified transform to this instance.
`void`	`prependRotation(double angle)` Prepends the 2D rotation to this instance.
`void`	`prependRotation(double angle, double pivotX, double pivotY)` Prepends the 2D rotation with pivot to this instance.
`void`	`prependRotation(double angle, double pivotX, double pivotY, double pivotZ, double axisX, double axisY, double axisZ)` Prepends the rotation to this instance.
`void`	`prependRotation(double angle, double pivotX, double pivotY, double pivotZ, Point3D axis)` Prepends the rotation to this instance.
`void`	`prependRotation(double angle, Point2D pivot)` Prepends the 2D rotation with pivot to this instance.
`void`	`prependRotation(double angle, Point3D pivot, Point3D axis)` Prepends the rotation to this instance.
`void`	`prependScale(double sx, double sy)` Prepends the 2D scale to this instance.
`void`	`prependScale(double sx, double sy, double sz)` Prepends the scale to this instance.
`void`	`prependScale(double sx, double sy, double pivotX, double pivotY)` Prepends the 2D scale with pivot to this instance.
`void`	`prependScale(double sx, double sy, double sz, double pivotX, double pivotY, double pivotZ)` Prepends the scale with pivot to this instance.
`void`	`prependScale(double sx, double sy, double sz, Point3D pivot)` Prepends the scale with pivot to this instance.
`void`	`prependScale(double sx, double sy, Point2D pivot)` Prepends the 2D scale with pivot to this instance.
`void`	`prependShear(double shx, double shy)` Prepends the shear to this instance.
`void`	`prependShear(double shx, double shy, double pivotX, double pivotY)` Prepends the shear with pivot to this instance.
`void`	`prependShear(double shx, double shy, Point2D pivot)` Prepends the shear with pivot to this instance.
`void`	`prependTranslation(double tx, double ty)` Prepends the 2D translation to this instance.
`void`	`prependTranslation(double tx, double ty, double tz)` Prepends the translation to this instance.
`void`	`setElement(MatrixType type, int row, int column, double value)` Sets the specified element of the transformation matrix.
`void`	`setMxx(double value)` Sets the value of the property mxx.
`void`	`setMxy(double value)` Sets the value of the property mxy.
`void`	`setMxz(double value)` Sets the value of the property mxz.
`void`	`setMyx(double value)` Sets the value of the property myx.
`void`	`setMyy(double value)` Sets the value of the property myy.
`void`	`setMyz(double value)` Sets the value of the property myz.
`void`	`setMzx(double value)` Sets the value of the property mzx.
`void`	`setMzy(double value)` Sets the value of the property mzy.
`void`	`setMzz(double value)` Sets the value of the property mzz.
`void`	`setToIdentity()` Resets this transform to the identity transform.
`void`	`setToTransform(double[] matrix, MatrixType type, int offset)` Sets the values of this instance to the transformation matrix specified by an array.
`void`	`setToTransform(double mxx, double mxy, double tx, double myx, double myy, double ty)` Sets the values of this instance to the 2D transform specified by the element values.
`void`	`setToTransform(double mxx, double mxy, double mxz, double tx, double myx, double myy, double myz, double ty, double mzx, double mzy, double mzz, double tz)` Sets the values of this instance to the transform specified by the element values.
`void`	`setToTransform(Transform transform)` Sets the values of this instance to the values provided by the specified transform.
`void`	`setTx(double value)` Sets the value of the property tx.
`void`	`setTy(double value)` Sets the value of the property ty.
`void`	`setTz(double value)` Sets the value of the property tz.
`String`	`toString()` Returns a string representation of this `Affine` object.
`Point2D`	`transform(double x, double y)` Transforms the specified point by this transform.
`Point3D`	`transform(double x, double y, double z)` Transforms the specified point by this transform.
`DoubleProperty`	`txProperty()` Defines the X coordinate translation element of the 3x4 matrix.
`DoubleProperty`	`tyProperty()` Defines the Y coordinate translation element of the 3x4 matrix.
`DoubleProperty`	`tzProperty()` Defines the Z coordinate translation element of the 3x4 matrix.

Methods inherited from class java.lang.Object
equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Property Detail
  - mxx
```
public final DoubleProperty mxxProperty
```
    Defines the X coordinate scaling element of the 3x4 matrix.
    
    See Also:
    
    getMxx(), setMxx(double)
  - mxy
```
public final DoubleProperty mxyProperty
```
    Defines the XY coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMxy(), setMxy(double)
  - mxz
```
public final DoubleProperty mxzProperty
```
    Defines the XZ coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMxz(), setMxz(double)
  - tx
```
public final DoubleProperty txProperty
```
    Defines the X coordinate translation element of the 3x4 matrix.
    
    See Also:
    
    getTx(), setTx(double)
  - myx
```
public final DoubleProperty myxProperty
```
    Defines the YX coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMyx(), setMyx(double)
  - myy
```
public final DoubleProperty myyProperty
```
    Defines the Y coordinate scaling element of the 3x4 matrix.
    
    See Also:
    
    getMyy(), setMyy(double)
  - myz
```
public final DoubleProperty myzProperty
```
    Defines the YZ coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMyz(), setMyz(double)
  - ty
```
public final DoubleProperty tyProperty
```
    Defines the Y coordinate translation element of the 3x4 matrix.
    
    See Also:
    
    getTy(), setTy(double)
  - mzx
```
public final DoubleProperty mzxProperty
```
    Defines the ZX coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMzx(), setMzx(double)
  - mzy
```
public final DoubleProperty mzyProperty
```
    Defines the ZY coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMzy(), setMzy(double)
  - mzz
```
public final DoubleProperty mzzProperty
```
    Defines the Z coordinate scaling element of the 3x4 matrix.
    
    See Also:
    
    getMzz(), setMzz(double)
  - tz
```
public final DoubleProperty tzProperty
```
    Defines the Z coordinate translation element of the 3x4 matrix.
    
    See Also:
    
    getTz(), setTz(double)
- Constructor Detail
  - Affine
```
public Affine()
```
    Creates a new instance of Affine containing an identity transform.
  - Affine
```
public Affine(Transform transform)
```
    Creates a new instance of Affine filled with the values from the specified transform.
    
    Parameters:
    
    transform - transform whose matrix is to be filled to the new instance
    
    Throws:
    
    NullPointerException - if the specified transform is null
    
    Since:
    
    JavaFX 8.0
  - Affine
```
public Affine(double mxx,
              double mxy,
              double tx,
              double myx,
              double myy,
              double ty)
```
    Creates a new instance of Affine with a 2D transform specified by the element values.
    
    Parameters:
    
    mxx - the X coordinate scaling element
    
    mxy - the XY coordinate element
    
    tx - the X coordinate translation element
    
    myx - the YX coordinate element
    
    myy - the Y coordinate scaling element
    
    ty - the Y coordinate translation element
    
    Since:
    
    JavaFX 8.0
  - Affine
```
public Affine(double mxx,
              double mxy,
              double mxz,
              double tx,
              double myx,
              double myy,
              double myz,
              double ty,
              double mzx,
              double mzy,
              double mzz,
              double tz)
```
    Creates a new instance of Affine with a transform specified by the element values.
    
    Parameters:
    
    mxx - the X coordinate scaling element
    
    mxy - the XY coordinate element
    
    mxz - the XZ coordinate element
    
    tx - the X coordinate translation element
    
    myx - the YX coordinate element
    
    myy - the Y coordinate scaling element
    
    myz - the YZ coordinate element
    
    ty - the Y coordinate translation element
    
    mzx - the ZX coordinate element
    
    mzy - the ZY coordinate element
    
    mzz - the Z coordinate scaling element
    
    tz - the Z coordinate translation element
    
    Since:
    
    JavaFX 8.0
  - Affine
```
public Affine(double[] matrix,
              MatrixType type,
              int offset)
```
    Creates a new instance of Affine with a transformation matrix specified by an array.
    
    Parameters:
    
    matrix - array containing the flattened transformation matrix
    
    type - type of matrix contained in the array
    
    offset - offset of the first element in the array
    
    Throws:
    
    IndexOutOfBoundsException - if the array is too short for the specified type and offset
    
    IllegalArgumentException - if the specified matrix is not affine (the last line of a 2D 3x3 matrix is not [0, 0, 1] or the last line of a 3D 4x4 matrix is not [0, 0, 0, 1].
    
    NullPointerException - if the specified matrix or type is null
    
    Since:
    
    JavaFX 8.0
- Method Detail
  - setMxx
```
public final void setMxx(double value)
```
    Sets the value of the property mxx.
    
    Property description:
    
    Defines the X coordinate scaling element of the 3x4 matrix.
  - getMxx
```
public final double getMxx()
```
    Gets the value of the property mxx.
    
    Overrides:
    
    getMxx in class Transform
    
    Property description:
    
    Defines the X coordinate scaling element of the 3x4 matrix.
  - mxxProperty
```
public final DoubleProperty mxxProperty()
```
    Defines the X coordinate scaling element of the 3x4 matrix.
    
    See Also:
    
    getMxx(), setMxx(double)
  - setMxy
```
public final void setMxy(double value)
```
    Sets the value of the property mxy.
    
    Property description:
    
    Defines the XY coordinate element of the 3x4 matrix.
  - getMxy
```
public final double getMxy()
```
    Gets the value of the property mxy.
    
    Overrides:
    
    getMxy in class Transform
    
    Property description:
    
    Defines the XY coordinate element of the 3x4 matrix.
  - mxyProperty
```
public final DoubleProperty mxyProperty()
```
    Defines the XY coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMxy(), setMxy(double)
  - setMxz
```
public final void setMxz(double value)
```
    Sets the value of the property mxz.
    
    Property description:
    
    Defines the XZ coordinate element of the 3x4 matrix.
  - getMxz
```
public final double getMxz()
```
    Gets the value of the property mxz.
    
    Overrides:
    
    getMxz in class Transform
    
    Property description:
    
    Defines the XZ coordinate element of the 3x4 matrix.
  - mxzProperty
```
public final DoubleProperty mxzProperty()
```
    Defines the XZ coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMxz(), setMxz(double)
  - setTx
```
public final void setTx(double value)
```
    Sets the value of the property tx.
    
    Property description:
    
    Defines the X coordinate translation element of the 3x4 matrix.
  - getTx
```
public final double getTx()
```
    Gets the value of the property tx.
    
    Overrides:
    
    getTx in class Transform
    
    Property description:
    
    Defines the X coordinate translation element of the 3x4 matrix.
  - txProperty
```
public final DoubleProperty txProperty()
```
    Defines the X coordinate translation element of the 3x4 matrix.
    
    See Also:
    
    getTx(), setTx(double)
  - setMyx
```
public final void setMyx(double value)
```
    Sets the value of the property myx.
    
    Property description:
    
    Defines the YX coordinate element of the 3x4 matrix.
  - getMyx
```
public final double getMyx()
```
    Gets the value of the property myx.
    
    Overrides:
    
    getMyx in class Transform
    
    Property description:
    
    Defines the YX coordinate element of the 3x4 matrix.
  - myxProperty
```
public final DoubleProperty myxProperty()
```
    Defines the YX coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMyx(), setMyx(double)
  - setMyy
```
public final void setMyy(double value)
```
    Sets the value of the property myy.
    
    Property description:
    
    Defines the Y coordinate scaling element of the 3x4 matrix.
  - getMyy
```
public final double getMyy()
```
    Gets the value of the property myy.
    
    Overrides:
    
    getMyy in class Transform
    
    Property description:
    
    Defines the Y coordinate scaling element of the 3x4 matrix.
  - myyProperty
```
public final DoubleProperty myyProperty()
```
    Defines the Y coordinate scaling element of the 3x4 matrix.
    
    See Also:
    
    getMyy(), setMyy(double)
  - setMyz
```
public final void setMyz(double value)
```
    Sets the value of the property myz.
    
    Property description:
    
    Defines the YZ coordinate element of the 3x4 matrix.
  - getMyz
```
public final double getMyz()
```
    Gets the value of the property myz.
    
    Overrides:
    
    getMyz in class Transform
    
    Property description:
    
    Defines the YZ coordinate element of the 3x4 matrix.
  - myzProperty
```
public final DoubleProperty myzProperty()
```
    Defines the YZ coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMyz(), setMyz(double)
  - setTy
```
public final void setTy(double value)
```
    Sets the value of the property ty.
    
    Property description:
    
    Defines the Y coordinate translation element of the 3x4 matrix.
  - getTy
```
public final double getTy()
```
    Gets the value of the property ty.
    
    Overrides:
    
    getTy in class Transform
    
    Property description:
    
    Defines the Y coordinate translation element of the 3x4 matrix.
  - tyProperty
```
public final DoubleProperty tyProperty()
```
    Defines the Y coordinate translation element of the 3x4 matrix.
    
    See Also:
    
    getTy(), setTy(double)
  - setMzx
```
public final void setMzx(double value)
```
    Sets the value of the property mzx.
    
    Property description:
    
    Defines the ZX coordinate element of the 3x4 matrix.
  - getMzx
```
public final double getMzx()
```
    Gets the value of the property mzx.
    
    Overrides:
    
    getMzx in class Transform
    
    Property description:
    
    Defines the ZX coordinate element of the 3x4 matrix.
  - mzxProperty
```
public final DoubleProperty mzxProperty()
```
    Defines the ZX coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMzx(), setMzx(double)
  - setMzy
```
public final void setMzy(double value)
```
    Sets the value of the property mzy.
    
    Property description:
    
    Defines the ZY coordinate element of the 3x4 matrix.
  - getMzy
```
public final double getMzy()
```
    Gets the value of the property mzy.
    
    Overrides:
    
    getMzy in class Transform
    
    Property description:
    
    Defines the ZY coordinate element of the 3x4 matrix.
  - mzyProperty
```
public final DoubleProperty mzyProperty()
```
    Defines the ZY coordinate element of the 3x4 matrix.
    
    See Also:
    
    getMzy(), setMzy(double)
  - setMzz
```
public final void setMzz(double value)
```
    Sets the value of the property mzz.
    
    Property description:
    
    Defines the Z coordinate scaling element of the 3x4 matrix.
  - getMzz
```
public final double getMzz()
```
    Gets the value of the property mzz.
    
    Overrides:
    
    getMzz in class Transform
    
    Property description:
    
    Defines the Z coordinate scaling element of the 3x4 matrix.
  - mzzProperty
```
public final DoubleProperty mzzProperty()
```
    Defines the Z coordinate scaling element of the 3x4 matrix.
    
    See Also:
    
    getMzz(), setMzz(double)
  - setTz
```
public final void setTz(double value)
```
    Sets the value of the property tz.
    
    Property description:
    
    Defines the Z coordinate translation element of the 3x4 matrix.
  - getTz
```
public final double getTz()
```
    Gets the value of the property tz.
    
    Overrides:
    
    getTz in class Transform
    
    Property description:
    
    Defines the Z coordinate translation element of the 3x4 matrix.
  - tzProperty
```
public final DoubleProperty tzProperty()
```
    Defines the Z coordinate translation element of the 3x4 matrix.
    
    See Also:
    
    getTz(), setTz(double)
  - setElement
```
public void setElement(MatrixType type,
                       int row,
                       int column,
                       double value)
```
    Sets the specified element of the transformation matrix.
    
    Parameters:
    
    type - type of matrix to work with
    
    row - zero-based row number
    
    column - zero-based column number
    
    value - new value of the specified transformation matrix element
    
    Throws:
    
    IndexOutOfBoundsException - if the indices are not within the specified matrix type
    
    IllegalArgumentException - if setting the value would break transform's affinity (for convenience the method allows to set the elements of the last line of a 2D 3x3 matrix to [0, 0, 1] and the elements of the last line of a 3D 4x4 matrix to [0, 0, 0, 1]).
    
    NullPointerException - if the specified type is null
    
    Since:
    
    JavaFX 8.0
  - determinant
```
public double determinant()
```
    Description copied from class: Transform
    
    Computes determinant of the transformation matrix. Among other things, determinant can be used for testing this transform's invertibility - it is invertible if determinant is not equal to zero.
    
    Overrides:
    
    determinant in class Transform
    
    Returns:
    
    Determinant of the transformation matrix
  - createConcatenation
```
public Transform createConcatenation(Transform transform)
```
    Description copied from class: Transform
    
    Returns the concatenation of this transform and the specified transform. Applying the resulting transform to a node has the same effect as adding the two transforms to its getTransforms() list, this transform first and the specified transform second.
    
    Overrides:
    
    createConcatenation in class Transform
    
    Parameters:
    
    transform - transform to be concatenated with this transform
    
    Returns:
    
    The concatenated transform
  - createInverse
```
public Affine createInverse()
                     throws NonInvertibleTransformException
```
    Description copied from class: Transform
    
    Returns the inverse transform of this transform.
    
    Overrides:
    
    createInverse in class Transform
    
    Returns:
    
    the inverse transform
    
    Throws:
    
    NonInvertibleTransformException - if this transform cannot be inverted
  - clone
```
public Affine clone()
```
    Description copied from class: Transform
    
    Returns a deep copy of this transform.
    
    Overrides:
    
    clone in class Transform
    
    Returns:
    
    a copy of this transform
  - setToTransform
```
public void setToTransform(Transform transform)
```
    Sets the values of this instance to the values provided by the specified transform.
    
    Parameters:
    
    transform - transform whose matrix is to be filled to this instance
    
    Throws:
    
    NullPointerException - if the specified transform is null
    
    Since:
    
    JavaFX 8.0
  - setToTransform
```
public void setToTransform(double mxx,
                           double mxy,
                           double tx,
                           double myx,
                           double myy,
                           double ty)
```
    Sets the values of this instance to the 2D transform specified by the element values.
    
    Parameters:
    
    mxx - the X coordinate scaling element
    
    mxy - the XY coordinate element
    
    tx - the X coordinate translation element
    
    myx - the YX coordinate element
    
    myy - the Y coordinate scaling element
    
    ty - the Y coordinate translation element
    
    Since:
    
    JavaFX 8.0
  - setToTransform
```
public void setToTransform(double mxx,
                           double mxy,
                           double mxz,
                           double tx,
                           double myx,
                           double myy,
                           double myz,
                           double ty,
                           double mzx,
                           double mzy,
                           double mzz,
                           double tz)
```
    Sets the values of this instance to the transform specified by the element values.
    
    Parameters:
    
    mxx - the X coordinate scaling element
    
    mxy - the XY coordinate element
    
    mxz - the XZ coordinate element
    
    tx - the X coordinate translation element
    
    myx - the YX coordinate element
    
    myy - the Y coordinate scaling element
    
    myz - the YZ coordinate element
    
    ty - the Y coordinate translation element
    
    mzx - the ZX coordinate element
    
    mzy - the ZY coordinate element
    
    mzz - the Z coordinate scaling element
    
    tz - the Z coordinate translation element
    
    Since:
    
    JavaFX 8.0
  - setToTransform
```
public void setToTransform(double[] matrix,
                           MatrixType type,
                           int offset)
```
    Sets the values of this instance to the transformation matrix specified by an array.
    
    Parameters:
    
    matrix - array containing the flattened transformation matrix
    
    type - type of matrix contained in the array
    
    offset - offset of the first element in the array
    
    Throws:
    
    IndexOutOfBoundsException - if the array is too short for the specified type and offset
    
    IllegalArgumentException - if the specified matrix is not affine (the last line of a 2D 3x3 matrix is not [0, 0, 1] or the last line of a 3D 4x4 matrix is not [0, 0, 0, 1].
    
    NullPointerException - if the specified matrix or type is null
    
    Since:
    
    JavaFX 8.0
  - setToIdentity
```
public void setToIdentity()
```
    Resets this transform to the identity transform.
    
    Since:
    
    JavaFX 8.0
  - invert
```
public void invert()
            throws NonInvertibleTransformException
```
    Inverts this transform in place.
    
    Throws:
    
    NonInvertibleTransformException - if this transform cannot be inverted
    
    Since:
    
    JavaFX 8.0
  - append
```
public void append(Transform transform)
```
    Appends the specified transform to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, this transform first and the specified transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified transform.
    
    Parameters:
    
    transform - transform to be appended to this instance
    
    Throws:
    
    NullPointerException - if the specified transform is null
    
    Since:
    
    JavaFX 8.0
  - append
```
public void append(double mxx,
                   double mxy,
                   double tx,
                   double myx,
                   double myy,
                   double ty)
```
    Appends the 2D transform specified by the element values to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, this transform first and the specified transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified transform.
    
    Parameters:
    
    mxx - the X coordinate scaling element of the transform to be appended
    
    mxy - the XY coordinate element of the transform to be appended
    
    tx - the X coordinate translation element of the transform to be appended
    
    myx - the YX coordinate element of the transform to be appended
    
    myy - the Y coordinate scaling element of the transform to be appended
    
    ty - the Y coordinate translation element of the transform to be appended
    
    Since:
    
    JavaFX 8.0
  - append
```
public void append(double mxx,
                   double mxy,
                   double mxz,
                   double tx,
                   double myx,
                   double myy,
                   double myz,
                   double ty,
                   double mzx,
                   double mzy,
                   double mzz,
                   double tz)
```
    Appends the transform specified by the element values to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, this transform first and the specified transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified transform.
    
    Parameters:
    
    mxx - the X coordinate scaling element of the transform to be appended
    
    mxy - the XY coordinate element of the transform to be appended
    
    mxz - the XZ coordinate element of the transform to be appended
    
    tx - the X coordinate translation element of the transform to be appended
    
    myx - the YX coordinate element of the transform to be appended
    
    myy - the Y coordinate scaling element of the transform to be appended
    
    myz - the YZ coordinate element of the transform to be appended
    
    ty - the Y coordinate translation element of the transform to be appended
    
    mzx - the ZX coordinate element of the transform to be appended
    
    mzy - the ZY coordinate element of the transform to be appended
    
    mzz - the Z coordinate scaling element of the transform to be appended
    
    tz - the Z coordinate translation element of the transform to be appended
    
    Since:
    
    JavaFX 8.0
  - append
```
public void append(double[] matrix,
                   MatrixType type,
                   int offset)
```
    Appends the transform specified by the array to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, this transform first and the specified transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified transform.
    
    Parameters:
    
    matrix - array containing the flattened transformation matrix to be appended
    
    type - type of matrix contained in the array
    
    offset - offset of the first matrix element in the array
    
    Throws:
    
    IndexOutOfBoundsException - if the array is too short for the specified type and offset
    
    IllegalArgumentException - if the specified matrix is not affine (the last line of a 2D 3x3 matrix is not [0, 0, 1] or the last line of a 3D 4x4 matrix is not [0, 0, 0, 1].
    
    NullPointerException - if the specified matrix or type is null
    
    Since:
    
    JavaFX 8.0
  - prepend
```
public void prepend(Transform transform)
```
    Prepends the specified transform to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, the specified transform first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified transform.
    
    Parameters:
    
    transform - transform to be prepended to this instance
    
    Throws:
    
    NullPointerException - if the specified transform is null
    
    Since:
    
    JavaFX 8.0
  - prepend
```
public void prepend(double mxx,
                    double mxy,
                    double tx,
                    double myx,
                    double myy,
                    double ty)
```
    Prepends the 2D transform specified by the element values to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, the specified transform first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified transform.
    
    Parameters:
    
    mxx - the X coordinate scaling element of the transform to be prepended
    
    mxy - the XY coordinate element of the transform to be prepended
    
    tx - the X coordinate translation element of the transform to be prepended
    
    myx - the YX coordinate element of the transform to be prepended
    
    myy - the Y coordinate scaling element of the transform to be prepended
    
    ty - the Y coordinate translation element of the transform to be prepended
    
    Since:
    
    JavaFX 8.0
  - prepend
```
public void prepend(double mxx,
                    double mxy,
                    double mxz,
                    double tx,
                    double myx,
                    double myy,
                    double myz,
                    double ty,
                    double mzx,
                    double mzy,
                    double mzz,
                    double tz)
```
    Prepends the transform specified by the element values to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, the specified transform first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified transform.
    
    Parameters:
    
    mxx - the X coordinate scaling element of the transform to be prepended
    
    mxy - the XY coordinate element of the transform to be prepended
    
    mxz - the XZ coordinate element of the transform to be prepended
    
    tx - the X coordinate translation element of the transform to be prepended
    
    myx - the YX coordinate element of the transform to be prepended
    
    myy - the Y coordinate scaling element of the transform to be prepended
    
    myz - the YZ coordinate element of the transform to be prepended
    
    ty - the Y coordinate translation element of the transform to be prepended
    
    mzx - the ZX coordinate element of the transform to be prepended
    
    mzy - the ZY coordinate element of the transform to be prepended
    
    mzz - the Z coordinate scaling element of the transform to be prepended
    
    tz - the Z coordinate translation element of the transform to be prepended
    
    Since:
    
    JavaFX 8.0
  - prepend
```
public void prepend(double[] matrix,
                    MatrixType type,
                    int offset)
```
    Prepends the transform specified by the array to this instance. The operation modifies this transform in a way that applying it to a node has the same effect as adding the two transforms to its getTransforms() list, the specified transform first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified transform.
    
    Parameters:
    
    matrix - array containing the flattened transformation matrix to be prepended
    
    type - type of matrix contained in the array
    
    offset - offset of the first matrix element in the array
    
    Throws:
    
    IndexOutOfBoundsException - if the array is too short for the specified type and offset
    
    IllegalArgumentException - if the specified matrix is not affine (the last line of a 2D 3x3 matrix is not [0, 0, 1] or the last line of a 3D 4x4 matrix is not [0, 0, 0, 1].
    
    NullPointerException - if the specified matrix or type is null
    
    Since:
    
    JavaFX 8.0
  - appendTranslation
```
public void appendTranslation(double tx,
                              double ty)
```
    Appends the 2D translation to this instance. It is equivalent to append(new Translate(tx, ty)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified translation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified translation.
    
    Parameters:
    
    tx - the X coordinate translation
    
    ty - the Y coordinate translation
    
    Since:
    
    JavaFX 8.0
  - appendTranslation
```
public void appendTranslation(double tx,
                              double ty,
                              double tz)
```
    Appends the translation to this instance. It is equivalent to append(new Translate(tx, ty, tz)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified translation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified translation.
    
    Parameters:
    
    tx - the X coordinate translation
    
    ty - the Y coordinate translation
    
    tz - the Z coordinate translation
    
    Since:
    
    JavaFX 8.0
  - prependTranslation
```
public void prependTranslation(double tx,
                               double ty,
                               double tz)
```
    Prepends the translation to this instance. It is equivalent to prepend(new Translate(tx, ty, tz)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified translation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified translation.
    
    Parameters:
    
    tx - the X coordinate translation
    
    ty - the Y coordinate translation
    
    tz - the Z coordinate translation
    
    Since:
    
    JavaFX 8.0
  - prependTranslation
```
public void prependTranslation(double tx,
                               double ty)
```
    Prepends the 2D translation to this instance. It is equivalent to prepend(new Translate(tx, ty)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified translation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified translation.
    
    Parameters:
    
    tx - the X coordinate translation
    
    ty - the Y coordinate translation
    
    Since:
    
    JavaFX 8.0
  - appendScale
```
public void appendScale(double sx,
                        double sy)
```
    Appends the 2D scale to this instance. It is equivalent to append(new Scale(sx, sy)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified scale second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    Since:
    
    JavaFX 8.0
  - appendScale
```
public void appendScale(double sx,
                        double sy,
                        double pivotX,
                        double pivotY)
```
    Appends the 2D scale with pivot to this instance. It is equivalent to append(new Scale(sx, sy, pivotX, pivotY)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified scale second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    pivotX - the X coordinate of the point about which the scale occurs
    
    pivotY - the Y coordinate of the point about which the scale occurs
    
    Since:
    
    JavaFX 8.0
  - appendScale
```
public void appendScale(double sx,
                        double sy,
                        Point2D pivot)
```
    Appends the 2D scale with pivot to this instance. It is equivalent to append(new Scale(sx, sy, pivot.getX(), pivot.getY()).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified scale second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    pivot - the point about which the scale occurs
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - appendScale
```
public void appendScale(double sx,
                        double sy,
                        double sz)
```
    Appends the scale to this instance. It is equivalent to append(new Scale(sx, sy, sz)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified scale second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    sz - the Z coordinate scale factor
    
    Since:
    
    JavaFX 8.0
  - appendScale
```
public void appendScale(double sx,
                        double sy,
                        double sz,
                        double pivotX,
                        double pivotY,
                        double pivotZ)
```
    Appends the scale with pivot to this instance. It is equivalent to append(new Scale(sx, sy, sz, pivotX, pivotY, pivotZ)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified scale second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    sz - the Z coordinate scale factor
    
    pivotX - the X coordinate of the point about which the scale occurs
    
    pivotY - the Y coordinate of the point about which the scale occurs
    
    pivotZ - the Z coordinate of the point about which the scale occurs
    
    Since:
    
    JavaFX 8.0
  - appendScale
```
public void appendScale(double sx,
                        double sy,
                        double sz,
                        Point3D pivot)
```
    Appends the scale with pivot to this instance. It is equivalent to append(new Scale(sx, sy, sz, pivot.getX(), pivot.getY(), pivot.getZ())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified scale second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    sz - the Z coordinate scale factor
    
    pivot - the point about which the scale occurs
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - prependScale
```
public void prependScale(double sx,
                         double sy)
```
    Prepends the 2D scale to this instance. It is equivalent to prepend(new Scale(sx, sy)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified scale first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    Since:
    
    JavaFX 8.0
  - prependScale
```
public void prependScale(double sx,
                         double sy,
                         double pivotX,
                         double pivotY)
```
    Prepends the 2D scale with pivot to this instance. It is equivalent to prepend(new Scale(sx, sy, pivotX, pivotY)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified scale first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    pivotX - the X coordinate of the point about which the scale occurs
    
    pivotY - the Y coordinate of the point about which the scale occurs
    
    Since:
    
    JavaFX 8.0
  - prependScale
```
public void prependScale(double sx,
                         double sy,
                         Point2D pivot)
```
    Prepends the 2D scale with pivot to this instance. It is equivalent to prepend(new Scale(sx, sy, pivot.getX(), </p>pivot.getY())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified scale first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    pivot - the point about which the scale occurs
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - prependScale
```
public void prependScale(double sx,
                         double sy,
                         double sz)
```
    Prepends the scale to this instance. It is equivalent to prepend(new Scale(sx, sy, sz)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified scale first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    sz - the Z coordinate scale factor
    
    Since:
    
    JavaFX 8.0
  - prependScale
```
public void prependScale(double sx,
                         double sy,
                         double sz,
                         double pivotX,
                         double pivotY,
                         double pivotZ)
```
    Prepends the scale with pivot to this instance. It is equivalent to prepend(new Scale(sx, sy, sz, pivotX, pivotY, pivotZ)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified scale first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    sz - the Z coordinate scale factor
    
    pivotX - the X coordinate of the point about which the scale occurs
    
    pivotY - the Y coordinate of the point about which the scale occurs
    
    pivotZ - the Z coordinate of the point about which the scale occurs
    
    Since:
    
    JavaFX 8.0
  - prependScale
```
public void prependScale(double sx,
                         double sy,
                         double sz,
                         Point3D pivot)
```
    Prepends the scale with pivot to this instance. It is equivalent to prepend(new Scale(sx, sy, sz, pivot.getX(), pivot.getY(), pivot.getZ())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified scale first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified scale.
    
    Parameters:
    
    sx - the X coordinate scale factor
    
    sy - the Y coordinate scale factor
    
    sz - the Z coordinate scale factor
    
    pivot - the point about which the scale occurs
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - appendShear
```
public void appendShear(double shx,
                        double shy)
```
    Appends the shear to this instance. It is equivalent to append(new Shear(sx, sy)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified shear second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified shear.
    
    Parameters:
    
    shx - the XY coordinate element
    
    shy - the YX coordinate element
    
    Since:
    
    JavaFX 8.0
  - appendShear
```
public void appendShear(double shx,
                        double shy,
                        double pivotX,
                        double pivotY)
```
    Appends the shear with pivot to this instance. It is equivalent to append(new Shear(sx, sy, pivotX, pivotY)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified shear second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified shear.
    
    Parameters:
    
    shx - the XY coordinate element
    
    shy - the YX coordinate element
    
    pivotX - the X coordinate of the shear pivot point
    
    pivotY - the Y coordinate of the shear pivot point
    
    Since:
    
    JavaFX 8.0
  - appendShear
```
public void appendShear(double shx,
                        double shy,
                        Point2D pivot)
```
    Appends the shear with pivot to this instance. It is equivalent to append(new Shear(sx, sy, pivot.getX(), pivot.getY())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified shear second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified shear.
    
    Parameters:
    
    shx - the XY coordinate element
    
    shy - the YX coordinate element
    
    pivot - the shear pivot point
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - prependShear
```
public void prependShear(double shx,
                         double shy)
```
    Prepends the shear to this instance. It is equivalent to prepend(new Shear(sx, sy)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified shear first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified shear.
    
    Parameters:
    
    shx - the XY coordinate element
    
    shy - the YX coordinate element
    
    Since:
    
    JavaFX 8.0
  - prependShear
```
public void prependShear(double shx,
                         double shy,
                         double pivotX,
                         double pivotY)
```
    Prepends the shear with pivot to this instance. It is equivalent to prepend(new Shear(sx, sy, pivotX, pivotY)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified shear first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified shear.
    
    Parameters:
    
    shx - the XY coordinate element
    
    shy - the YX coordinate element
    
    pivotX - the X coordinate of the shear pivot point
    
    pivotY - the Y coordinate of the shear pivot point
    
    Since:
    
    JavaFX 8.0
  - prependShear
```
public void prependShear(double shx,
                         double shy,
                         Point2D pivot)
```
    Prepends the shear with pivot to this instance. It is equivalent to prepend(new Shear(sx, sy, pivot.getX(), pivot.getY())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified shear first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified shear.
    
    Parameters:
    
    shx - the XY coordinate element
    
    shy - the YX coordinate element
    
    pivot - the shear pivot point
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - appendRotation
```
public void appendRotation(double angle)
```
    Appends the 2D rotation to this instance. It is equivalent to append(new Rotate(angle)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified rotation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    Since:
    
    JavaFX 8.0
  - appendRotation
```
public void appendRotation(double angle,
                           double pivotX,
                           double pivotY)
```
    Appends the 2D rotation with pivot to this instance. It is equivalent to append(new Rotate(angle, pivotX, pivotY)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified rotation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivotX - the X coordinate of the rotation pivot point
    
    pivotY - the Y coordinate of the rotation pivot point
    
    Since:
    
    JavaFX 8.0
  - appendRotation
```
public void appendRotation(double angle,
                           Point2D pivot)
```
    Appends the 2D rotation with pivot to this instance. It is equivalent to append(new Rotate(angle, pivot.getX(), pivot.getY())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified rotation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivot - the rotation pivot point
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - appendRotation
```
public void appendRotation(double angle,
                           double pivotX,
                           double pivotY,
                           double pivotZ,
                           double axisX,
                           double axisY,
                           double axisZ)
```
    Appends the rotation to this instance. It is equivalent to append(new Rotate(angle, pivotX, pivotY, pivotZ, new Point3D(axisX, axisY, axisZ))).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified rotation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivotX - the X coordinate of the rotation pivot point
    
    pivotY - the Y coordinate of the rotation pivot point
    
    pivotZ - the Z coordinate of the rotation pivot point
    
    axisX - the X coordinate magnitude of the rotation axis
    
    axisY - the Y coordinate magnitude of the rotation axis
    
    axisZ - the Z coordinate magnitude of the rotation axis
    
    Since:
    
    JavaFX 8.0
  - appendRotation
```
public void appendRotation(double angle,
                           double pivotX,
                           double pivotY,
                           double pivotZ,
                           Point3D axis)
```
    Appends the rotation to this instance. It is equivalent to append(new Rotate(angle, pivotX, pivotY, pivotZ, axis)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified rotation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivotX - the X coordinate of the rotation pivot point
    
    pivotY - the Y coordinate of the rotation pivot point
    
    pivotZ - the Z coordinate of the rotation pivot point
    
    axis - the rotation axis
    
    Throws:
    
    NullPointerException - if the specified axis is null
    
    Since:
    
    JavaFX 8.0
  - appendRotation
```
public void appendRotation(double angle,
                           Point3D pivot,
                           Point3D axis)
```
    Appends the rotation to this instance. It is equivalent to append(new Rotate(angle, pivot.getX(), pivot.getY(), pivot.getZ(), axis)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, this transform first and the specified rotation second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the right by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivot - the rotation pivot point
    
    axis - the rotation axis
    
    Throws:
    
    NullPointerException - if the specified pivot or axis is null
    
    Since:
    
    JavaFX 8.0
  - prependRotation
```
public void prependRotation(double angle)
```
    Prepends the 2D rotation to this instance. It is equivalent to prepend(new Rotate(angle)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified rotation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    Since:
    
    JavaFX 8.0
  - prependRotation
```
public void prependRotation(double angle,
                            double pivotX,
                            double pivotY)
```
    Prepends the 2D rotation with pivot to this instance. It is equivalent to prepend(new Rotate(angle, pivotX, pivotY)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified rotation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivotX - the X coordinate of the rotation pivot point
    
    pivotY - the Y coordinate of the rotation pivot point
    
    Since:
    
    JavaFX 8.0
  - prependRotation
```
public void prependRotation(double angle,
                            Point2D pivot)
```
    Prepends the 2D rotation with pivot to this instance. It is equivalent to prepend(new Rotate(angle, pivot.getX(), pivot.getY())).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified rotation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivot - the rotation pivot point
    
    Throws:
    
    NullPointerException - if the specified pivot is null
    
    Since:
    
    JavaFX 8.0
  - prependRotation
```
public void prependRotation(double angle,
                            double pivotX,
                            double pivotY,
                            double pivotZ,
                            double axisX,
                            double axisY,
                            double axisZ)
```
    Prepends the rotation to this instance. It is equivalent to prepend(new Rotate(angle, pivotX, pivotY, pivotZ, new Point3D(axisX, axisY, axisZ))).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified rotation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivotX - the X coordinate of the rotation pivot point
    
    pivotY - the Y coordinate of the rotation pivot point
    
    pivotZ - the Z coordinate of the rotation pivot point
    
    axisX - the X coordinate magnitude of the rotation axis
    
    axisY - the Y coordinate magnitude of the rotation axis
    
    axisZ - the Z coordinate magnitude of the rotation axis
    
    Since:
    
    JavaFX 8.0
  - prependRotation
```
public void prependRotation(double angle,
                            double pivotX,
                            double pivotY,
                            double pivotZ,
                            Point3D axis)
```
    Prepends the rotation to this instance. It is equivalent to prepend(new Rotate(angle, pivotX, pivotY, pivotZ, axis)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified rotation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivotX - the X coordinate of the rotation pivot point
    
    pivotY - the Y coordinate of the rotation pivot point
    
    pivotZ - the Z coordinate of the rotation pivot point
    
    axis - the rotation axis
    
    Throws:
    
    NullPointerException - if the specified axis is null
    
    Since:
    
    JavaFX 8.0
  - prependRotation
```
public void prependRotation(double angle,
                            Point3D pivot,
                            Point3D axis)
```
    Prepends the rotation to this instance. It is equivalent to prepend(new Rotate(angle, pivot.getX(), pivot.getY(), pivot.getZ(), axis)).
    The operation modifies this transform in a way that applying it to a node has the same effect as adding two transforms to its getTransforms() list, the specified rotation first and this transform second.
    From the matrix point of view, the transformation matrix of this transform is multiplied on the left by the transformation matrix of the specified rotation.
    
    Parameters:
    
    angle - the angle of the rotation in degrees
    
    pivot - the rotation pivot point
    
    axis - the rotation axis
    
    Throws:
    
    NullPointerException - if the specified pivot or axis is null
    
    Since:
    
    JavaFX 8.0
  - transform
```
public Point2D transform(double x,
                         double y)
```
    Description copied from class: Transform
    
    Transforms the specified point by this transform. This method can be used only for 2D transforms.
    
    Overrides:
    
    transform in class Transform
    
    Parameters:
    
    x - the X coordinate of the point
    
    y - the Y coordinate of the point
    
    Returns:
    
    the transformed point
  - transform
```
public Point3D transform(double x,
                         double y,
                         double z)
```
    Description copied from class: Transform
    
    Transforms the specified point by this transform.
    
    Overrides:
    
    transform in class Transform
    
    Parameters:
    
    x - the X coordinate of the point
    
    y - the Y coordinate of the point
    
    z - the Z coordinate of the point
    
    Returns:
    
    the transformed point
  - deltaTransform
```
public Point2D deltaTransform(double x,
                              double y)
```
    Description copied from class: Transform
    
    Transforms the relative magnitude vector by this transform. The vector is transformed without applying the translation components of the affine transformation matrix. This method can be used only for a 2D transform.
    
    Overrides:
    
    deltaTransform in class Transform
    
    Parameters:
    
    x - vector magnitude in the direction of the X axis
    
    y - vector magnitude in the direction of the Y axis
    
    Returns:
    
    the transformed relative magnitude vector represented by a Point2D instance
  - deltaTransform
```
public Point3D deltaTransform(double x,
                              double y,
                              double z)
```
    Description copied from class: Transform
    
    Transforms the relative magnitude vector by this transform. The vector is transformed without applying the translation components of the affine transformation matrix.
    
    Overrides:
    
    deltaTransform in class Transform
    
    Parameters:
    
    x - vector magnitude in the direction of the X axis
    
    y - vector magnitude in the direction of the Y axis
    
    Returns:
    
    the transformed relative magnitude vector represented by a Point3D instance
  - inverseTransform
```
public Point2D inverseTransform(double x,
                                double y)
                         throws NonInvertibleTransformException
```
    Description copied from class: Transform
    
    Transforms the specified point by the inverse of this transform. This method can be used only for 2D transforms.
    
    Overrides:
    
    inverseTransform in class Transform
    
    Parameters:
    
    x - the X coordinate of the point
    
    y - the Y coordinate of the point
    
    Returns:
    
    the inversely transformed point
    
    Throws:
    
    NonInvertibleTransformException - if this transform cannot be inverted
  - inverseTransform
```
public Point3D inverseTransform(double x,
                                double y,
                                double z)
                         throws NonInvertibleTransformException
```
    Description copied from class: Transform
    
    Transforms the specified point by the inverse of this transform.
    
    Overrides:
    
    inverseTransform in class Transform
    
    Parameters:
    
    x - the X coordinate of the point
    
    y - the Y coordinate of the point
    
    z - the Z coordinate of the point
    
    Returns:
    
    the inversely transformed point
    
    Throws:
    
    NonInvertibleTransformException - if this transform cannot be inverted
  - inverseDeltaTransform
```
public Point2D inverseDeltaTransform(double x,
                                     double y)
                              throws NonInvertibleTransformException
```
    Description copied from class: Transform
    
    Transforms the relative magnitude vector by the inverse of this transform. The vector is transformed without applying the translation components of the affine transformation matrix. This method can be used only for a 2D transform.
    
    Overrides:
    
    inverseDeltaTransform in class Transform
    
    Parameters:
    
    x - vector magnitude in the direction of the X axis
    
    y - vector magnitude in the direction of the Y axis
    
    Returns:
    
    the inversely transformed relative magnitude vector represented by a Point2D instance
    
    Throws:
    
    NonInvertibleTransformException - if this transform cannot be inverted
  - inverseDeltaTransform
```
public Point3D inverseDeltaTransform(double x,
                                     double y,
                                     double z)
                              throws NonInvertibleTransformException
```
    Description copied from class: Transform
    
    Transforms the relative magnitude vector by the inverse of this transform. The vector is transformed without applying the translation components of the affine transformation matrix.
    
    Overrides:
    
    inverseDeltaTransform in class Transform
    
    Parameters:
    
    x - vector magnitude in the direction of the X axis
    
    y - vector magnitude in the direction of the Y axis
    
    Returns:
    
    the inversely transformed relative magnitude vector represented by a Point3D instance
    
    Throws:
    
    NonInvertibleTransformException - if this transform cannot be inverted
  - toString
```
public String toString()
```
    Returns a string representation of this Affine object.
    
    Overrides:
    
    toString in class Object
    
    Returns:
    
    a string representation of this Affine object.

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Class Affine

Property Summary

Properties inherited from class javafx.scene.transform.Transform

Constructor Summary

Method Summary

Methods inherited from class javafx.scene.transform.Transform

Methods inherited from class java.lang.Object

Property Detail

mxx

mxy

mxz

tx

myx

myy

myz

ty

mzx

mzy

mzz

tz

Constructor Detail

Affine

Affine

Affine

Affine

Affine

Method Detail

setMxx

getMxx

mxxProperty

setMxy

getMxy

mxyProperty

setMxz

getMxz

mxzProperty

setTx

getTx

txProperty

setMyx

getMyx

myxProperty

setMyy

getMyy

myyProperty

setMyz

getMyz

myzProperty

setTy

getTy

tyProperty

setMzx

getMzx

mzxProperty

setMzy

getMzy

mzyProperty

setMzz

getMzz

mzzProperty

setTz

getTz

tzProperty

setElement

determinant

createConcatenation

createInverse

clone

setToTransform

setToTransform

setToTransform

setToTransform

setToIdentity

invert

append

append

append

append

prepend

prepend