public Class Affine3D

Overrides com.sun.javafx.geom.transform.AffineBase.concatenate.

Doc from com.sun.javafx.geom.transform.AffineBase.concatenate.

Concatenates a BaseTransform Tx to this Affine2D Cx in the most commonly useful way to provide a new user space that is mapped to the former user space by Tx. Cx is updated to perform the combined transformation. Transforming a point p by the updated transform Cx' is equivalent to first transforming p by Tx and then transforming the result by the original transform Cx like this: Cx'(p) = Cx(Tx(p)) In matrix notation, if this transform Cx is represented by the matrix [this] and Tx is represented by the matrix [Tx] then this method does the following:

     [this] = [this] x [Tx]

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.copy.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.createInverse.

Doc from com.sun.javafx.geom.transform.BaseTransform.createInverse.

This function always returns a new object, unless the transform is an identity transform in which case it might return the Identity singleton.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.deltaTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.deltaTransform.

Transforms the specified src vector and stores the result in dst vector, without applying the translation elements. If dst is null, a new Vec3d object is allocated and then the result of the transformation is stored in this object. In either case, dst, which contains the transformed vector, is returned for convenience. If src and dst are the same object, the input vector is correctly overwritten with the transformed vector.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithConcatenation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithConcatenation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithConcatenation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithNewTransform.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithPreConcatenation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithPreTranslation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithRotation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithScale.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithTranslation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.deriveWithTranslation.

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.getDegree.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.getDeterminant.

Doc from com.sun.javafx.geom.transform.AffineBase.getDeterminant.

Returns the determinant of the matrix representation of the transform. The determinant is useful both to determine if the transform can be inverted and to get a single value representing the combined X and Y scaling of the transform.

If the determinant is non-zero, then this transform is invertible and the various methods that depend on the inverse transform do not need to throw a NoninvertibleTransformException. If the determinant is zero then this transform can not be inverted since the transform maps all input coordinates onto a line or a point. If the determinant is near enough to zero then inverse transform operations might not carry enough precision to produce meaningful results.

If this transform represents a uniform scale, as indicated by the getType method then the determinant also represents the square of the uniform scale factor by which all of the points are expanded from or contracted towards the origin. If this transform represents a non-uniform scale or more general transform then the determinant is not likely to represent a value useful for any purpose other than determining if inverse transforms are possible.

Mathematically, the determinant is calculated using the formula:

     |  mxx  mxy  mxt  |
     |  myx  myy  myt  |  =  mxx * myy - mxy * myx
     |   0    0    1   |

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.getMxz.

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.getMyz.

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.getMzt.

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.getMzx.

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.getMzy.

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.getMzz.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.inverseDeltaTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.inverseDeltaTransform.

Inverse transforms an array of single precision relative 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].

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@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Overrides com.sun.javafx.geom.transform.AffineBase.inverseDeltaTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.inverseDeltaTransform.

Inverse transforms the specified src vector and stores the result in dst vector (without applying the translation elements). If dst is null, a new Vec3d object is allocated and then the result of the transform is stored in this object. In either case, dst, which contains the transformed vector, is returned for convenience. If src and dst are the same object, the input vector is correctly overwritten with the transformed vector.

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@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Overrides com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Inverse transforms an array of single precision 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].

Annotations

@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Overrides com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Inverse transforms an array of double precision 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].

Annotations

@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Overrides com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Inverse transforms the specified ptSrc and stores the result in ptDst. If ptDst is null, a new Point2D object is allocated and then the result of the transform is stored in this object. In either case, ptDst, which contains the transformed point, is returned for convenience. If ptSrc and ptDst are the same object, the input point is correctly overwritten with the transformed point.

Annotations

@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Overrides com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Doc from com.sun.javafx.geom.transform.AffineBase.inverseTransform.

Inverse transforms the specified src and stores the result in dst. If dst is null, a new Vec3d object is allocated and then the result of the transform is stored in this object. In either case, dst, which contains the transformed point, is returned for convenience. If src and dst are the same object, the input point is correctly overwritten with the transformed point.

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@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Overrides com.sun.javafx.geom.transform.AffineBase.inverseTransform.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.inverseTransform.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.invert.

Doc from com.sun.javafx.geom.transform.AffineBase.invert.

Sets this transform to the inverse of itself. The inverse transform Tx' of this transform Tx maps coordinates transformed by Tx back to their original coordinates. In other words, Tx'(Tx(p)) = p = Tx(Tx'(p)).

If this transform maps all coordinates onto a point or a line then it will not have an inverse, since coordinates that do not lie on the destination point or line will not have an inverse mapping. The getDeterminant method can be used to determine if this transform has no inverse, in which case an exception will be thrown if the invert method is called.

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@Override

Exceptions

NoninvertibleTransformException:

if the matrix cannot be inverted.

Sets this transform to a viewing transform computed from the specified eye point, center point, and up vector. The resulting transform can be used as the view transform in a 3D camera.

Parameters

eye:Vec3d

the eye point

center:Vec3d

the center point

up:Vec3d

the up vector

Returns:Affine3D

this transform

Implements abstract com.sun.javafx.geom.transform.BaseTransform.restoreTransform.

Doc from com.sun.javafx.geom.transform.BaseTransform.restoreTransform.

This function is only guaranteed to succeed if the transform is of degree AFFINE2D or less and the matrix parameters specified came from this same instance. In practice, they will also tend to succeed if they specify a transform of Degree less than or equal to the Degree of this instance as well, but the intent of this method is to restore the transform that had been read out of this transform into local variables.

Annotations

@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.restoreTransform.

Doc from com.sun.javafx.geom.transform.BaseTransform.restoreTransform.

This function is only guaranteed to succeed if the matrix parameters specified came from this same instance. In practice, they will also tend to succeed if they specify a transform of Degree less than or equal to the Degree of this instance as well, but the intent of this method is to restore the transform that had been read out of this transform into local variables.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.rotate.

Doc from com.sun.javafx.geom.transform.AffineBase.rotate.

Concatenates this transform with a rotation transformation. This is equivalent to calling concatenate(R), where R is an Affine2D represented by the following matrix:

     [   cos(theta)    -sin(theta)    0   ]
     [   sin(theta)     cos(theta)    0   ]
     [       0              0         1   ]

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.scale.

Doc from com.sun.javafx.geom.transform.AffineBase.scale.

Concatenates this transform with a scaling transformation. This is equivalent to calling concatenate(S), where S is an Affine2D represented by the following matrix:

     [   sx   0    0   ]
     [   0    sy   0   ]
     [   0    0    1   ]

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@Override

Implements abstract com.sun.javafx.geom.transform.BaseTransform.setTransform.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.shear.

Doc from com.sun.javafx.geom.transform.AffineBase.shear.

Concatenates this transform with a shearing transformation. This is equivalent to calling concatenate(SH), where SH is an Affine2D represented by the following matrix:

     [   1   shx   0   ]
     [  shy   1    0   ]
     [   0    0    1   ]

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@Override

Overrides com.sun.javafx.geom.transform.BaseTransform.toString.

Returns a String that represents the value of this Object.

Returns:String

a String representing the value of this Object.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.transform.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.transform.

Implements com.sun.javafx.geom.transform.CanTransformVec3d.transform.

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@Override

Overrides com.sun.javafx.geom.transform.AffineBase.translate.

Doc from com.sun.javafx.geom.transform.AffineBase.translate.

Concatenates this transform with a translation transformation. This is equivalent to calling concatenate(T), where T is an Affine2D represented by the following matrix:

     [   1    0    tx  ]
     [   0    1    ty  ]
     [   0    0    1   ]

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@Override