Module javafx.graphics
Package javafx.scene.transform

## Class Affine

- 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

    Properties
    Type | Property | 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 | 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

    Modifier and Type | Method | 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 javafx.scene.transform.Transform

      `addEventFilter, addEventHandler, affine, affine, buildEventDispatchChain, column, column, deltaTransform, deltaTransform, getElement, getOnTransformChanged, identityProperty, inverseDeltaTransform, inverseDeltaTransform, inverseTransform, inverseTransform, inverseTransform, inverseTransform2DPoints, inverseTransform3DPoints, isIdentity, isType2D, onTransformChangedProperty, removeEventFilter, removeEventHandler, rotate, row, row, scale, scale, setOnTransformChanged, shear, shear, similarTo, toArray, toArray, transform, transform, transform, transform2DPoints, transform3DPoints, transformChanged, translate, type2DProperty`

    - ### 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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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.
      Returns:
        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
        `z` - vector magnitude in the direction of the Z 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
        `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

    - #### 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.