# Class Transform

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

All Implemented Interfaces:
  `Cloneable, EventTarget`

Direct Known Subclasses:
  `Affine, Rotate, Scale, Shear, Translate`

public abstract class Transform extends Object implements Cloneable, EventTarget
This class is a base class for different affine transformations. It provides factory methods for the simple transformations - rotating, scaling, shearing, and translation. It allows to get the transformation matrix elements for any transform.

Example:

     Rectangle rect = new Rectangle(50,50, Color.RED);
     rect.getTransforms().add(new Rotate(45,0,0)); //rotate by 45 degrees

Since:
  JavaFX 2.0

- ## Property Summary

  Properties
  Type
  Property
  Description
  `final ReadOnlyBooleanProperty`
  `identity`
  Determines if this is currently an identity transform.
  `final ObjectProperty<EventHandler<? super TransformChangedEvent>>`
  `onTransformChanged`
  The onTransformChanged event handler is called whenever the transform changes any of its parameters.
  `final ReadOnlyBooleanProperty`
  `type2D`
  Determines if this is currently a 2D transform.

- ## Constructor Summary

  Constructors
  Constructor
  Description
  `Transform()`
  Constructor for subclasses to call.

- ## Method Summary

  Modifier and Type
  Method
  Description
  `final <T extends Event>
  void`
  `addEventFilter(EventType<T> eventType, EventHandler<? super T> eventFilter)`
  Registers an event filter for this target.
  `final <T extends Event>
  void`
  `addEventHandler(EventType<T> eventType, EventHandler<? super T> eventHandler)`
  Registers an event handler for this target.
  `static Affine`
  `affine(double mxx, double myx, double mxy, double myy, double tx, double ty)`
  Returns a new `Affine` object from 12 number values representing the 6 specifiable entries of the 3x4 Affine transformation matrix.
  `static Affine`
  `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)`
  Returns a new `Affine` object from 12 number values representing the 12 specifiable entries of the 3x4 Affine transformation matrix.
  `EventDispatchChain`
  `buildEventDispatchChain(EventDispatchChain tail)`
  Construct an event dispatch chain for this target.
  `Transform`
  `clone()`
  Returns a deep copy of this transform.
  `double[]`
  `column(MatrixType type, int column)`
  Returns an array containing a column of the transformation matrix.
  `double[]`
  `column(MatrixType type, int column, double[] array)`
  Returns an array containing a column of the transformation matrix.
  `Transform`
  `createConcatenation(Transform transform)`
  Returns the concatenation of this transform and the specified transform.
  `Transform`
  `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.
  `Point2D`
  `deltaTransform(Point2D point)`
  Transforms the relative magnitude vector represented by the specified `Point2D` instance by this transform.
  `Point3D`
  `deltaTransform(Point3D point)`
  Transforms the relative magnitude vector represented by the specified `Point3D` instance by this transform.
  `double`
  `determinant()`
  Computes determinant of the transformation matrix.
  `double`
  `getElement(MatrixType type, int row, int column)`
  Gets the specified element of the transformation matrix.
  `double`
  `getMxx()`
  Gets the X coordinate scaling element of the 3x4 matrix.
  `double`
  `getMxy()`
  Gets the XY coordinate element of the 3x4 matrix.
  `double`
  `getMxz()`
  Gets the XZ coordinate element of the 3x4 matrix.
  `double`
  `getMyx()`
  Gets the YX coordinate element of the 3x4 matrix.
  `double`
  `getMyy()`
  Gets the Y coordinate scaling element of the 3x4 matrix.
  `double`
  `getMyz()`
  Gets the YZ coordinate element of the 3x4 matrix.
  `double`
  `getMzx()`
  Gets the ZX coordinate element of the 3x4 matrix.
  `double`
  `getMzy()`
  Gets the ZY coordinate element of the 3x4 matrix.
  `double`
  `getMzz()`
  Gets the Z coordinate scaling element of the 3x4 matrix.
  `final EventHandler<? super TransformChangedEvent>`
  `getOnTransformChanged()`
  Gets the onTransformChanged event handler.
  `double`
  `getTx()`
  Gets the X coordinate translation element of the 3x4 matrix.
  `double`
  `getTy()`
  Gets the Y coordinate translation element of the 3x4 matrix.
  `double`
  `getTz()`
  Gets the Z coordinate translation element of the 3x4 matrix.
  `final ReadOnlyBooleanProperty`
  `identityProperty()`
  Determines if this is currently an identity transform.
  `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`
  `inverseDeltaTransform(Point2D point)`
  Transforms the relative magnitude vector represented by the specified `Point2D` instance by the inverse of this transform.
  `Point3D`
  `inverseDeltaTransform(Point3D point)`
  Transforms the relative magnitude vector represented by the specified `Point3D` instance 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.
  `Bounds`
  `inverseTransform(Bounds bounds)`
  Transforms the specified bounds by the inverse of this transform.
  `Point2D`
  `inverseTransform(Point2D point)`
  Transforms the specified point by the inverse of this transform.
  `Point3D`
  `inverseTransform(Point3D point)`
  Transforms the specified point by the inverse of this transform.
  `void`
  `inverseTransform2DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)`
  Transforms an array of coordinates by the inverse of this transform.
  `void`
  `inverseTransform3DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)`
  Transforms an array of floating point coordinates by the inverse of this transform.
  `final boolean`
  `isIdentity()`
  Gets the value of the `identity` property.
  `final boolean`
  `isType2D()`
  Gets the value of the `type2D` property.
  `final ObjectProperty<EventHandler<? super TransformChangedEvent>>`
  `onTransformChangedProperty()`
  The onTransformChanged event handler is called whenever the transform changes any of its parameters.
  `final <T extends Event>
  void`
  `removeEventFilter(EventType<T> eventType, EventHandler<? super T> eventFilter)`
  Unregisters a previously registered event filter from this target.
  `final <T extends Event>
  void`
  `removeEventHandler(EventType<T> eventType, EventHandler<? super T> eventHandler)`
  Unregisters a previously registered event handler from this target.
  `static Rotate`
  `rotate(double angle, double pivotX, double pivotY)`
  Returns a `Rotate` object that rotates coordinates around a pivot point.
  `double[]`
  `row(MatrixType type, int row)`
  Returns an array containing a row of the transformation matrix.
  `double[]`
  `row(MatrixType type, int row, double[] array)`
  Returns an array containing a row of the transformation matrix.
  `static Scale`
  `scale(double x, double y)`
  Returns a `Scale` object representing a scaling transformation.
  `static Scale`
  `scale(double x, double y, double pivotX, double pivotY)`
  Returns a `Scale` object representing a scaling transformation.
  `final void`
  `setOnTransformChanged(EventHandler<? super TransformChangedEvent> value)`
  Sets the onTransformChanged event handler which is called whenever the transform changes any of its parameters.
  `static Shear`
  `shear(double x, double y)`
  Returns a `Shear` object representing a shearing transformation.
  `static Shear`
  `shear(double x, double y, double pivotX, double pivotY)`
  Returns a `Shear` object representing a shearing transformation.
  `boolean`
  `similarTo(Transform transform, Bounds range, double maxDelta)`
  Checks if this transform is similar to the specified transform.
  `double[]`
  `toArray(MatrixType type)`
  Returns an array containing the flattened transformation matrix.
  `double[]`
  `toArray(MatrixType type, double[] array)`
  Returns an array containing the flattened transformation matrix.
  `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.
  `Bounds`
  `transform(Bounds bounds)`
  Transforms the specified bounds by this transform.
  `Point2D`
  `transform(Point2D point)`
  Transforms the specified point by this transform.
  `Point3D`
  `transform(Point3D point)`
  Transforms the specified point by this transform.
  `void`
  `transform2DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)`
  Transforms an array of coordinates by this transform.
  `void`
  `transform3DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)`
  Transforms an array of floating point coordinates by this transform.
  `protected void`
  `transformChanged()`
  This method must be called by all transforms whenever any of their parameters changes.
  `static Translate`
  `translate(double x, double y)`
  Returns a `Translate` object representing a translation transformation.
  `final ReadOnlyBooleanProperty`
  `type2DProperty()`
  Determines if this is currently a 2D transform.

  ### Methods declared in class Object

  `equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

- ## Property Details

  - ### type2D

    public final ReadOnlyBooleanProperty type2DProperty
    Determines if this is currently a 2D transform. Transform is 2D if it has no effect along the Z axis.
    Since:
      JavaFX 8.0
    See Also:
      - `isType2D()`
      - `type2DProperty()`

  - ### identity

    public final ReadOnlyBooleanProperty identityProperty
    Determines if this is currently an identity transform. Identity transform has no effect on the transformed nodes.
    Since:
      JavaFX 8.0
    See Also:
      - `isIdentity()`
      - `identityProperty()`

  - ### onTransformChanged

    public final ObjectProperty<EventHandler<? super TransformChangedEvent>> onTransformChangedProperty
    The onTransformChanged event handler is called whenever the transform changes any of its parameters.
    Since:
      JavaFX 8.0
    See Also:
      - `getOnTransformChanged()`
      - `setOnTransformChanged(EventHandler)`
      - `onTransformChangedProperty()`

- ## Constructor Details

  - ### Transform

    public Transform()
    Constructor for subclasses to call.

- ## Method Details

  - ### affine

    public static Affine affine(double mxx, double myx, double mxy, double myy, double tx, double ty)
    Returns a new `Affine` object from 12 number values representing the 6 specifiable entries of the 3x4 Affine transformation matrix.
    Parameters:
      `mxx` - the X coordinate scaling element of the 3x4 matrix
      `myx` - the Y coordinate shearing element of the 3x4 matrix
      `mxy` - the X coordinate shearing element of the 3x4 matrix
      `myy` - the Y coordinate scaling element of the 3x4 matrix
      `tx` - the X coordinate translation element of the 3x4 matrix
      `ty` - the Y coordinate translation element of the 3x4 matrix
    Returns:
      a new `Affine` object derived from specified parameters

  - ### affine

    public static Affine 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)
    Returns a new `Affine` object from 12 number values representing the 12 specifiable entries of the 3x4 Affine transformation matrix.
    Parameters:
      `mxx` - the X coordinate scaling element of the 3x4 matrix
      `mxy` - the XY element of the 3x4 matrix
      `mxz` - the XZ element of the 3x4 matrix
      `tx` - the X coordinate translation element of the 3x4 matrix
      `myx` - the YX element of the 3x4 matrix
      `myy` - the Y coordinate scaling element of the 3x4 matrix
      `myz` - the YZ element of the 3x4 matrix
      `ty` - the Y coordinate translation element of the 3x4 matrix
      `mzx` - the ZX element of the 3x4 matrix
      `mzy` - the ZY element of the 3x4 matrix
      `mzz` - the Z coordinate scaling element of the 3x4 matrix
      `tz` - the Z coordinate translation element of the 3x4 matrix
    Returns:
      a new `Affine` object derived from specified parameters

  - ### translate

    public static Translate translate(double x, double y)
    Returns a `Translate` object representing a translation transformation.

    This is equivalent to:

           new Translate(x, y);

    Parameters:
      `x` - the translate x value
      `y` - the translate y value
    Returns:
      the Translate object representing a translation transformation

  - ### rotate

    public static Rotate rotate(double angle, double pivotX, double pivotY)
    Returns a `Rotate` object that rotates coordinates around a pivot point.

    This is equivalent to:

           new Rotate(angle, pivotX, pivotY);

    Parameters:
      `angle` - the rotation angle
      `pivotX` - the pivot x value
      `pivotY` - the pivot y value
    Returns:
      the Rotate object that rotates coordinates around a pivot point

  - ### scale

    public static Scale scale(double x, double y)
    Returns a `Scale` object representing a scaling transformation.

    This is equivalent to:

           new Scale(x, y);

    Parameters:
      `x` - the scale x value
      `y` - the scale y value
    Returns:
      the Scale object representing a scaling transformation

  - ### scale

    public static Scale scale(double x, double y, double pivotX, double pivotY)
    Returns a `Scale` object representing a scaling transformation. The returned scale operation will be about the given pivot point.

    This is equivalent to:

           new Scale(x, y, pivotX, pivotY);

    Parameters:
      `x` - the scale x value
      `y` - the scale y value
      `pivotX` - the pivot x value
      `pivotY` - the pivot y value
    Returns:
      the Scale object representing a scaling transformation

  - ### shear

    public static Shear shear(double x, double y)
    Returns a `Shear` object representing a shearing transformation.

    This is equivalent to:

           new Shear(x, y);

    Parameters:
      `x` - the shear x value
      `y` - the shear y value
    Returns:
      the Shear object representing a shearing transformation

  - ### shear

    public static Shear shear(double x, double y, double pivotX, double pivotY)
    Returns a `Shear` object representing a shearing transformation.

    This is equivalent to:

           new Shear(x, y, pivotX, pivotY);

    Parameters:
      `x` - the shear x value
      `y` - the shear y value
      `pivotX` - the pivot x value
      `pivotY` - the pivot y value
    Returns:
      the Shear object representing a shearing transformation

  - ### getMxx

    public double getMxx()
    Gets the X coordinate scaling element of the 3x4 matrix.
    Returns:
      the X coordinate scaling element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMxy

    public double getMxy()
    Gets the XY coordinate element of the 3x4 matrix.
    Returns:
      the XY coordinate element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMxz

    public double getMxz()
    Gets the XZ coordinate element of the 3x4 matrix.
    Returns:
      the XZ coordinate element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getTx

    public double getTx()
    Gets the X coordinate translation element of the 3x4 matrix.
    Returns:
      the X coordinate translation element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMyx

    public double getMyx()
    Gets the YX coordinate element of the 3x4 matrix.
    Returns:
      the YX coordinate element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMyy

    public double getMyy()
    Gets the Y coordinate scaling element of the 3x4 matrix.
    Returns:
      the Y coordinate scaling element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMyz

    public double getMyz()
    Gets the YZ coordinate element of the 3x4 matrix.
    Returns:
      the YZ coordinate element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getTy

    public double getTy()
    Gets the Y coordinate translation element of the 3x4 matrix.
    Returns:
      the Y coordinate translation element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMzx

    public double getMzx()
    Gets the ZX coordinate element of the 3x4 matrix.
    Returns:
      the ZX coordinate element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMzy

    public double getMzy()
    Gets the ZY coordinate element of the 3x4 matrix.
    Returns:
      the ZY coordinate element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getMzz

    public double getMzz()
    Gets the Z coordinate scaling element of the 3x4 matrix.
    Returns:
      the Z coordinate scaling element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getTz

    public double getTz()
    Gets the Z coordinate translation element of the 3x4 matrix.
    Returns:
      the Z coordinate translation element of the 3x4 matrix
    Since:
      JavaFX 2.2

  - ### getElement

    public double getElement(MatrixType type, int row, int column)
    Gets the specified element of the transformation matrix.
    Parameters:
      `type` - type of matrix to get the value from
      `row` - zero-based row number
      `column` - zero-based column number
    Returns:
      value of the specified transformation matrix element
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `IndexOutOfBoundsException` - if the indices are not within the specified matrix type
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### determinant

    public double determinant()
    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.
    Returns:
      Determinant of the transformation matrix
    Since:
      JavaFX 8.0

  - ### isType2D

    public final boolean isType2D()
    Gets the value of the `type2D` property.
    Property description:
      Determines if this is currently a 2D transform. Transform is 2D if it has no effect along the Z axis.
    Returns:
      the value of the `type2D` property
    Since:
      JavaFX 8.0
    See Also:
      - `type2DProperty()`

  - ### type2DProperty

    public final ReadOnlyBooleanProperty type2DProperty()
    Determines if this is currently a 2D transform. Transform is 2D if it has no effect along the Z axis.
    Returns:
      the `type2D` property
    Since:
      JavaFX 8.0
    See Also:
      - `isType2D()`

  - ### isIdentity

    public final boolean isIdentity()
    Gets the value of the `identity` property.
    Property description:
      Determines if this is currently an identity transform. Identity transform has no effect on the transformed nodes.
    Returns:
      the value of the `identity` property
    Since:
      JavaFX 8.0
    See Also:
      - `identityProperty()`

  - ### identityProperty

    public final ReadOnlyBooleanProperty identityProperty()
    Determines if this is currently an identity transform. Identity transform has no effect on the transformed nodes.
    Returns:
      the `identity` property
    Since:
      JavaFX 8.0
    See Also:
      - `isIdentity()`

  - ### similarTo

    public boolean similarTo(Transform transform, Bounds range, double maxDelta)
    Checks if this transform is similar to the specified transform. The two transforms are considered similar if any point from `range` is transformed by them to points that are no farther than `maxDelta` from each other.
    Parameters:
      `transform` - transform to be compared to this transform
      `range` - region of interest on which the two transforms are compared
      `maxDelta` - maximum allowed distance for the results of transforming any single point from `range` by the two transforms
    Returns:
      true if the transforms are similar according to the specified criteria
    Throws:
      `NullPointerException` - if the specified `transform` or `range` is null
    Since:
      JavaFX 8.0

  - ### toArray

    public double[] toArray(MatrixType type, double[] array)
    Returns an array containing the flattened transformation matrix. If the requested matrix type fits in the specified array, it is returned therein. Otherwise, a new array is created.
    Parameters:
      `type` - matrix type to be filled in the array
      `array` - array into which the elements of the matrix are to be stored, if it is non-null and big enough; otherwise, a new array is created for this purpose.
    Returns:
      an array containing the elements of the requested matrix type representing this transform
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### toArray

    public double[] toArray(MatrixType type)
    Returns an array containing the flattened transformation matrix.
    Parameters:
      `type` - matrix type to be filled in the array
    Returns:
      an array containing the elements of the requested matrix type representing this transform
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### row

    public double[] row(MatrixType type, int row, double[] array)
    Returns an array containing a row of the transformation matrix. If the row of the requested matrix type fits in the specified array, it is returned therein. Otherwise, a new array is created.
    Parameters:
      `type` - matrix type whose row is to be filled in the array
      `row` - zero-based index of the row
      `array` - array into which the elements of the row are to be stored, if it is non-null and big enough; otherwise, a new array is created for this purpose.
    Returns:
      an array containing the requested row of the requested matrix type representing this transform
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `IndexOutOfBoundsException` - if the `row` index is not within the number of rows of the specified matrix type
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### row

    public double[] row(MatrixType type, int row)
    Returns an array containing a row of the transformation matrix.
    Parameters:
      `type` - matrix type whose row is to be filled in the array
      `row` - zero-based index of the row
    Returns:
      an array containing the requested row of the requested matrix type representing this transform
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `IndexOutOfBoundsException` - if the `row` index is not within the number of rows of the specified matrix type
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### column

    public double[] column(MatrixType type, int column, double[] array)
    Returns an array containing a column of the transformation matrix. If the column of the requested matrix type fits in the specified array, it is returned therein. Otherwise, a new array is created.
    Parameters:
      `type` - matrix type whose column is to be filled in the array
      `column` - zero-based index of the column
      `array` - array into which the elements of the column are to be stored, if it is non-null and big enough; otherwise, a new array is created for this purpose.
    Returns:
      an array containing the requested column of the requested matrix type representing this transform
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `IndexOutOfBoundsException` - if the `column` index is not within the number of columns of the specified matrix type
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### column

    public double[] column(MatrixType type, int column)
    Returns an array containing a column of the transformation matrix.
    Parameters:
      `type` - matrix type whose column is to be filled in the array
      `column` - zero-based index of the column
    Returns:
      an array containing the requested column of the requested matrix type representing this transform
    Throws:
      `IllegalArgumentException` - if a 2D matrix type is requested for a 3D transform
      `IndexOutOfBoundsException` - if the `column` index is not within the number of columns of the specified matrix type
      `NullPointerException` - if the specified `type` is null
    Since:
      JavaFX 8.0

  - ### createConcatenation

    public Transform createConcatenation(Transform 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.
    Parameters:
      `transform` - transform to be concatenated with this transform
    Returns:
      The concatenated transform
    Throws:
      `NullPointerException` - if the specified `transform` is null
    Since:
      JavaFX 8.0

  - ### createInverse

    public Transform createInverse() throws NonInvertibleTransformException
    Returns the inverse transform of this transform.
    Returns:
      the inverse transform
    Throws:
      `NonInvertibleTransformException` - if this transform cannot be inverted
    Since:
      JavaFX 8.0

  - ### clone

    public Transform clone()
    Returns a deep copy of this transform.
    Overrides:
      `clone` in class `Object`
    Returns:
      a copy of this transform
    Since:
      JavaFX 8.0

  - ### transform

    public Point2D transform(double x, double y)
    Transforms the specified point by this transform. This method can be used only for 2D transforms.
    Parameters:
      `x` - the X coordinate of the point
      `y` - the Y coordinate of the point
    Returns:
      the transformed point
    Throws:
      `IllegalStateException` - if this is a 3D transform
    Since:
      JavaFX 8.0

  - ### transform

    public Point2D transform(Point2D point)
    Transforms the specified point by this transform. This method can be used only for 2D transforms.
    Parameters:
      `point` - the point to be transformed
    Returns:
      the transformed point
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### transform

    public Point3D transform(double x, double y, double z)
    Transforms the specified point by this 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
    Since:
      JavaFX 8.0

  - ### transform

    public Point3D transform(Point3D point)
    Transforms the specified point by this transform.
    Parameters:
      `point` - the point to be transformed
    Returns:
      the transformed point
    Throws:
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### transform

    public Bounds transform(Bounds bounds)
    Transforms the specified bounds by this transform.
    Parameters:
      `bounds` - the bounds to be transformed
    Returns:
      the transformed bounds
    Since:
      JavaFX 8.0

  - ### transform2DPoints

    public void transform2DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
    Transforms an array of coordinates by this transform. The two coordinate array sections can be exactly the same or can be overlapping sections of the same array without affecting the validity of the results. This method ensures that no source coordinates are overwritten by a previous operation before they can be transformed. The coordinates are stored in the arrays starting at the specified offset in the order `[x0, y0, x1, y1, ..., xn, yn]`. This method can be used only for 2D transforms.
    Parameters:
      `srcPts` - the array containing the source point coordinates. Each point is stored as a pair of x, y coordinates.
      `srcOff` - the offset to the first point to be transformed in the source array
      `dstPts` - the array into which the transformed point coordinates are returned. Each point is stored as a pair of x, y coordinates.
      `dstOff` - the offset to the location of the first transformed point that is stored in the destination array
      `numPts` - the number of points to be transformed
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NullPointerException` - if `srcPts` or (@code dstPts} is null
    Since:
      JavaFX 8.0

  - ### transform3DPoints

    public void transform3DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts)
    Transforms an array of floating point coordinates by this transform. The three coordinate array sections can be exactly the same or can be overlapping sections of the same array without affecting the validity of the results. This method ensures that no source coordinates are overwritten by a previous operation before they can be transformed. The coordinates are stored in the arrays starting at the specified offset in the order `[x0, y0, z0, x1, y1, z1, ..., xn, yn, zn]`.
    Parameters:
      `srcPts` - the array containing the source point coordinates. Each point is stored as a triplet of x, y, z coordinates.
      `srcOff` - the offset to the first point to be transformed in the source array
      `dstPts` - the array into which the transformed point coordinates are returned. Each point is stored as a triplet of x, y, z coordinates.
      `dstOff` - the offset to the location of the first transformed point that is stored in the destination array
      `numPts` - the number of points to be transformed
    Throws:
      `NullPointerException` - if `srcPts` or (@code dstPts} is null
    Since:
      JavaFX 8.0

  - ### deltaTransform

    public Point2D deltaTransform(double x, double y)
    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.
    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
    Throws:
      `IllegalStateException` - if this is a 3D transform
    Since:
      JavaFX 8.0

  - ### deltaTransform

    public Point2D deltaTransform(Point2D point)
    Transforms the relative magnitude vector represented by the specified `Point2D` instance 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.
    Parameters:
      `point` - the relative magnitude vector
    Returns:
      the transformed relative magnitude vector represented by a `Point2D` instance
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### deltaTransform

    public Point3D deltaTransform(double x, double y, double z)
    Transforms the relative magnitude vector by this transform. The vector is transformed without applying the translation components of the affine transformation matrix.
    Parameters:
      `x` - vector magnitude in the direction of the X axis
      `y` - vector magnitude in the direction of the Y axis
      `z` - vector magnitude in the direction of the Z axis
    Returns:
      the transformed relative magnitude vector represented by a `Point3D` instance
    Since:
      JavaFX 8.0

  - ### deltaTransform

    public Point3D deltaTransform(Point3D point)
    Transforms the relative magnitude vector represented by the specified `Point3D` instance by this transform. The vector is transformed without applying the translation components of the affine transformation matrix.
    Parameters:
      `point` - the relative magnitude vector
    Returns:
      the transformed relative magnitude vector represented by a `Point3D` instance
    Throws:
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### inverseTransform

    public Point2D inverseTransform(double x, double y) throws NonInvertibleTransformException
    Transforms the specified point by the inverse of this transform. This method can be used only for 2D transforms.
    Parameters:
      `x` - the X coordinate of the point
      `y` - the Y coordinate of the point
    Returns:
      the inversely transformed point
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NonInvertibleTransformException` - if this transform cannot be inverted
    Since:
      JavaFX 8.0

  - ### inverseTransform

    public Point2D inverseTransform(Point2D point) throws NonInvertibleTransformException
    Transforms the specified point by the inverse of this transform. This method can be used only for 2D transforms.
    Parameters:
      `point` - the point to be transformed
    Returns:
      the inversely transformed point
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### inverseTransform

    public Point3D inverseTransform(double x, double y, double z) throws NonInvertibleTransformException
    Transforms the specified point by the inverse of this 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
    Since:
      JavaFX 8.0

  - ### inverseTransform

    public Point3D inverseTransform(Point3D point) throws NonInvertibleTransformException
    Transforms the specified point by the inverse of this transform.
    Parameters:
      `point` - the point to be transformed
    Returns:
      the inversely transformed point
    Throws:
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### inverseTransform

    public Bounds inverseTransform(Bounds bounds) throws NonInvertibleTransformException
    Transforms the specified bounds by the inverse of this transform.
    Parameters:
      `bounds` - the bounds to be transformed
    Returns:
      the inversely transformed bounds
    Throws:
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if the specified `bounds` is null
    Since:
      JavaFX 8.0

  - ### inverseTransform2DPoints

    public void inverseTransform2DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) throws NonInvertibleTransformException
    Transforms an array of coordinates by the inverse of this transform. The two coordinate array sections can be exactly the same or can be overlapping sections of the same array without affecting the validity of the results. This method ensures that no source coordinates are overwritten by a previous operation before they can be transformed. The coordinates are stored in the arrays starting at the specified offset in the order `[x0, y0, x1, y1, ..., xn, yn]`. This method can be used only for 2D transforms.
    Parameters:
      `srcPts` - the array containing the source point coordinates. Each point is stored as a pair of x, y coordinates.
      `srcOff` - the offset to the first point to be transformed in the source array
      `dstPts` - the array into which the transformed point coordinates are returned. Each point is stored as a pair of x, y coordinates.
      `dstOff` - the offset to the location of the first transformed point that is stored in the destination array
      `numPts` - the number of points to be transformed
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if `srcPts` or (@code dstPts} is null
    Since:
      JavaFX 8.0

  - ### inverseTransform3DPoints

    public void inverseTransform3DPoints(double[] srcPts, int srcOff, double[] dstPts, int dstOff, int numPts) throws NonInvertibleTransformException
    Transforms an array of floating point coordinates by the inverse of this transform. The three coordinate array sections can be exactly the same or can be overlapping sections of the same array without affecting the validity of the results. This method ensures that no source coordinates are overwritten by a previous operation before they can be transformed. The coordinates are stored in the arrays starting at the specified offset in the order `[x0, y0, z0, x1, y1, z1, ..., xn, yn, zn]`.
    Parameters:
      `srcPts` - the array containing the source point coordinates. Each point is stored as a triplet of x, y, z coordinates.
      `srcOff` - the offset to the first point to be transformed in the source array
      `dstPts` - the array into which the transformed point coordinates are returned. Each point is stored as a triplet of x, y, z coordinates.
      `dstOff` - the offset to the location of the first transformed point that is stored in the destination array
      `numPts` - the number of points to be transformed
    Throws:
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if `srcPts` or (@code dstPts} is null
    Since:
      JavaFX 8.0

  - ### inverseDeltaTransform

    public Point2D inverseDeltaTransform(double x, double y) throws NonInvertibleTransformException
    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.
    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:
      `IllegalStateException` - if this is a 3D transform
      `NonInvertibleTransformException` - if this transform cannot be inverted
    Since:
      JavaFX 8.0

  - ### inverseDeltaTransform

    public Point2D inverseDeltaTransform(Point2D point) throws NonInvertibleTransformException
    Transforms the relative magnitude vector represented by the specified `Point2D` instance 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.
    Parameters:
      `point` - the relative magnitude vector
    Returns:
      the inversely transformed relative magnitude vector represented by a `Point2D` instance
    Throws:
      `IllegalStateException` - if this is a 3D transform
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### inverseDeltaTransform

    public Point3D inverseDeltaTransform(double x, double y, double z) throws NonInvertibleTransformException
    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.
    Parameters:
      `x` - vector magnitude in the direction of the X axis
      `y` - vector magnitude in the direction of the Y axis
      `z` - vector magnitude in the direction of the Z axis
    Returns:
      the inversely transformed relative magnitude vector represented by a `Point3D` instance
    Throws:
      `NonInvertibleTransformException` - if this transform cannot be inverted
    Since:
      JavaFX 8.0

  - ### inverseDeltaTransform

    public Point3D inverseDeltaTransform(Point3D point) throws NonInvertibleTransformException
    Transforms the relative magnitude vector represented by the specified `Point3D` instance by the inverse of this transform. The vector is transformed without applying the translation components of the affine transformation matrix.
    Parameters:
      `point` - the relative magnitude vector
    Returns:
      the inversely transformed relative magnitude vector represented by a `Point3D` instance
    Throws:
      `NonInvertibleTransformException` - if this transform cannot be inverted
      `NullPointerException` - if the specified `point` is null
    Since:
      JavaFX 8.0

  - ### buildEventDispatchChain

    public EventDispatchChain buildEventDispatchChain(EventDispatchChain tail)
    Description copied from interface: `EventTarget`
    Construct an event dispatch chain for this target. The event dispatch chain contains event dispatchers which might be interested in processing of events targeted at this `EventTarget`. This event target is not automatically added to the chain, so if it wants to process events, it needs to add an `EventDispatcher` for itself to the chain.

    In the case the event target is part of some hierarchy, the chain for it is usually built from event dispatchers collected from the root of the hierarchy to the event target.

    The event dispatch chain is constructed by modifications to the provided initial event dispatch chain. The returned chain should have the initial chain at its end so the dispatchers should be prepended to the initial chain.

    The caller shouldn't assume that the initial chain remains unchanged nor that the returned value will reference a different chain.

    Specified by:
      `buildEventDispatchChain` in interface `EventTarget`
    Parameters:
      `tail` - the initial chain to build from
    Returns:
      the resulting event dispatch chain for this target

  - ### addEventHandler

    public final <T extends Event> void addEventHandler(EventType<T> eventType, EventHandler<? super T> eventHandler)
    Registers an event handler for this target.

    The handler is called when the target receives an `Event` of the specified type during the bubbling phase of event delivery.

    Currently the only event delivered to a `Transform` is the `TransformChangedEvent` with its single type `TRANSFORM_CHANGED`.

    Specified by:
      `addEventHandler` in interface `EventTarget`
    Type Parameters:
      `T` - the event class of the handler
    Parameters:
      `eventType` - the type of the events received by the handler
      `eventHandler` - the event handler
    Since:
      JavaFX 8.0

  - ### removeEventHandler

    public final <T extends Event> void removeEventHandler(EventType<T> eventType, EventHandler<? super T> eventHandler)
    Unregisters a previously registered event handler from this target.

    Since it is possible to register a single `EventHandler` instance for different event types, the caller needs to specify the event type from which the handler should be unregistered.

    Specified by:
      `removeEventHandler` in interface `EventTarget`
    Type Parameters:
      `T` - the event class of the handler
    Parameters:
      `eventType` - the event type from which to unregister
      `eventHandler` - the event handler
    Since:
      JavaFX 8.0

  - ### addEventFilter

    public final <T extends Event> void addEventFilter(EventType<T> eventType, EventHandler<? super T> eventFilter)
    Registers an event filter for this target.

    The filter is called when the target receives an `Event` of the specified type during the capturing phase of event delivery.

    Currently the only event delivered to a `Transform` is the `TransformChangedEvent` with its single type `TRANSFORM_CHANGED`.

    Specified by:
      `addEventFilter` in interface `EventTarget`
    Type Parameters:
      `T` - the event class of the filter
    Parameters:
      `eventType` - the type of the events received by the filter
      `eventFilter` - the event filter
    Since:
      JavaFX 8.0

  - ### removeEventFilter

    public final <T extends Event> void removeEventFilter(EventType<T> eventType, EventHandler<? super T> eventFilter)
    Unregisters a previously registered event filter from this target.

    Since it is possible to register a single `EventHandler` instance for different event types, the caller needs to specify the event type from which the filter should be unregistered.

    Specified by:
      `removeEventFilter` in interface `EventTarget`
    Type Parameters:
      `T` - the event class of the filter
    Parameters:
      `eventType` - the event type from which to unregister
      `eventFilter` - the event filter
    Since:
      JavaFX 8.0

  - ### setOnTransformChanged

    public final void setOnTransformChanged(EventHandler<? super TransformChangedEvent> value)
    Sets the onTransformChanged event handler which is called whenever the transform changes any of its parameters.
    Parameters:
      `value` - the event handler, can be null to clear it
    Since:
      JavaFX 8.0

  - ### getOnTransformChanged

    public final EventHandler<? super TransformChangedEvent> getOnTransformChanged()
    Gets the onTransformChanged event handler.
    Returns:
      the event handler previously set by `setOnTransformChanged` method, null if the handler is not set.
    Since:
      JavaFX 8.0

  - ### onTransformChangedProperty

    public final ObjectProperty<EventHandler<? super TransformChangedEvent>> onTransformChangedProperty()
    The onTransformChanged event handler is called whenever the transform changes any of its parameters.
    Returns:
      the onTransformChanged event handler
    Since:
      JavaFX 8.0
    See Also:
      - `getOnTransformChanged()`
      - `setOnTransformChanged(EventHandler)`

  - ### transformChanged

    protected void transformChanged()
    This method must be called by all transforms whenever any of their parameters changes. It is typically called when any of the transform's properties is invalidated (it is OK to skip the call if an invalid property is set).
    Since:
      JavaFX 8.0