protected CubicCurve2D()

This is an abstract class that cannot be instantiated directly. Type-specific implementation subclasses are available for instantiation and provide a number of formats for storing the information necessary to satisfy the various accessor methods below.

public abstract double getX1()

Returns the X coordinate of the start point in double precision.

public abstract double getY1()

Returns the Y coordinate of the start point in double precision.

public abstract Point2D getP1()

Returns the start point.

public abstract double getCtrlX1()

Returns the X coordinate of the first control point in double precision.

public abstract double getCtrlY1()

Returns the Y coordinate of the first control point in double precision.

public abstract Point2D getCtrlP1()

Returns the first control point.

public abstract double getCtrlX2()

Returns the X coordinate of the second control point in double precision.

public abstract double getCtrlY2()

Returns the Y coordinate of the second control point in double precision.

public abstract Point2D getCtrlP2()

Returns the second control point.

public abstract double getX2()

Returns the X coordinate of the end point in double precision.

public abstract double getY2()

Returns the Y coordinate of the end point in double precision.

public abstract Point2D getP2()

Returns the end point.

public abstract void setCurve(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)

Sets the location of the end points and control points of this curve to the specified double coordinates.

public void setCurve(double[] coords, int offset)

Sets the location of the end points and control points of this curve to the double coordinates at the specified offset in the specified array.

public void setCurve(Point2D p1, Point2D cp1, Point2D cp2, Point2D p2)

Sets the location of the end points and control points of this curve to the specified Point2D coordinates.

public void setCurve(Point2D[] pts, int offset)

Sets the location of the end points and control points of this curve to the coordinates of the Point2D objects at the specified offset in the specified array.

public void setCurve(CubicCurve2D c)

Sets the location of the end points and control points of this curve to the same as those in the specified CubicCurve2D.

public static double getFlatnessSq(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)

Returns the square of the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points.

public static double getFlatness(double x1, double y1, double ctrlx1, double ctrly1, double ctrlx2, double ctrly2, double x2, double y2)

Returns the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points.

public static double getFlatnessSq(double[] coords, int offset)

Returns the square of the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points.

public static double getFlatness(double[] coords, int offset)

Returns the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points.

public double getFlatnessSq()

Returns the square of the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points.

public double getFlatness()

Returns the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points.

public void subdivide(CubicCurve2D left, CubicCurve2D right)

Subdivides this cubic curve and stores the resulting two subdivided curves into the left and right curve parameters. Either or both of the left and right objects may be the same as this object or null.

public static void subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right)

Subdivides the cubic curve specified by the src parameter and stores the resulting two subdivided curves into the left and right curve parameters. Either or both of the left and right objects may be the same as the src object or null.

public static void subdivide(double[] src, int srcoff, double[] left, int leftoff, double[] right, int rightoff)

Subdivides the cubic curve specified by the coordinates stored in the src array at indices srcoff through (srcoff + 7) and stores the resulting two subdivided curves into the two result arrays at the corresponding indices. Either or both of the left and right arrays may be null or a reference to the same array as the src array. Note that the last point in the first subdivided curve is the same as the first point in the second subdivided curve. Thus, it is possible to pass the same array for left and right and to use offsets, such as rightoff equals (leftoff + 6), in order to avoid allocating extra storage for this common point.

public static int solveCubic(double[] eqn)

Solves the cubic whose coefficients are in the eqn array and places the non-complex roots back into the same array, returning the number of roots. The solved cubic is represented by the equation:

     eqn = {c, b, a, d}
     dx^3 + ax^2 + bx + c = 0
 

A return value of -1 is used to distinguish a constant equation that might be always 0 or never 0 from an equation that has no zeroes.

public static int solveCubic(double[] eqn, double[] res)

Solve the cubic whose coefficients are in the eqn array and place the non-complex roots into the res array, returning the number of roots. The cubic solved is represented by the equation: eqn = {c, b, a, d} dx^3 + ax^2 + bx + c = 0 A return value of -1 is used to distinguish a constant equation, which may be always 0 or never 0, from an equation which has no zeroes.

public boolean contains(double x, double y)

Tests if the specified coordinates are inside the boundary of the Shape, as described by the definition of insideness.

public boolean contains(Point2D p)

Tests if a specified Point2D is inside the boundary of the Shape, as described by the definition of insideness.

public boolean intersects(double x, double y, double w, double h)

Tests if the interior of the Shape intersects the interior of a specified rectangular area. The rectangular area is considered to intersect the Shape if any point is contained in both the interior of the Shape and the specified rectangular area.

The Shape.intersects() method allows a Shape implementation to conservatively return true when:

• there is a high probability that the rectangular area and the Shape intersect, but
• the calculations to accurately determine this intersection are prohibitively expensive.

This means that for some Shapes this method might return true even though the rectangular area does not intersect the Shape. The Area class performs more accurate computations of geometric intersection than most Shape objects and therefore can be used if a more precise answer is required.

public boolean intersects(Rectangle2D r)

Tests if the interior of the Shape intersects the interior of a specified Rectangle2D. The Shape.intersects() method allows a Shape implementation to conservatively return true when:

• there is a high probability that the Rectangle2D and the Shape intersect, but
• the calculations to accurately determine this intersection are prohibitively expensive.

This means that for some Shapes this method might return true even though the Rectangle2D does not intersect the Shape. The Area class performs more accurate computations of geometric intersection than most Shape objects and therefore can be used if a more precise answer is required.

public boolean contains(double x, double y, double w, double h)

Tests if the interior of the Shape entirely contains the specified rectangular area. All coordinates that lie inside the rectangular area must lie within the Shape for the entire rectangular area to be considered contained within the Shape.

The Shape.contains() method allows a Shape implementation to conservatively return false when:

• the intersect method returns true and
• the calculations to determine whether or not the Shape entirely contains the rectangular area are prohibitively expensive.

This means that for some Shapes this method might return false even though the Shape contains the rectangular area. The Area class performs more accurate geometric computations than most Shape objects and therefore can be used if a more precise answer is required.

public boolean contains(Rectangle2D r)

Tests if the interior of the Shape entirely contains the specified Rectangle2D. The Shape.contains() method allows a Shape implementation to conservatively return false when:

• the intersect method returns true and
• the calculations to determine whether or not the Shape entirely contains the Rectangle2D are prohibitively expensive.

This means that for some Shapes this method might return false even though the Shape contains the Rectangle2D. The Area class performs more accurate geometric computations than most Shape objects and therefore can be used if a more precise answer is required.

public Rectangle2D getBounds2D()

Returns a high precision and more accurate bounding box of the Shape than the getBounds method. Note that there is no guarantee that the returned Rectangle2D is the smallest bounding box that encloses the Shape, only that the Shape lies entirely within the indicated Rectangle2D. The bounding box returned by this method is usually tighter than that returned by the getBounds method and never fails due to overflow problems since the return value can be an instance of the Rectangle2D that uses double precision values to store the dimensions.

Note that the definition of insideness can lead to situations where points on the defining outline of the shape may not be considered contained in the returned bounds object, but only in cases where those points are also not considered contained in the original shape.

If a point is inside the shape according to the contains(point) method, then it must be inside the returned Rectangle2D bounds object according to the contains(point) method of the bounds. Specifically:

shape.contains(p) requires bounds.contains(p)

If a point is not inside the shape, then it might still be contained in the bounds object:

bounds.contains(p) does not imply shape.contains(p)

public Rectangle getBounds()

Returns an integer Rectangle that completely encloses the Shape. Note that there is no guarantee that the returned Rectangle is the smallest bounding box that encloses the Shape, only that the Shape lies entirely within the indicated Rectangle. The returned Rectangle might also fail to completely enclose the Shape if the Shape overflows the limited range of the integer data type. The getBounds2D method generally returns a tighter bounding box due to its greater flexibility in representation.

Note that the definition of insideness can lead to situations where points on the defining outline of the shape may not be considered contained in the returned bounds object, but only in cases where those points are also not considered contained in the original shape.

If a point is inside the shape according to the contains(point) method, then it must be inside the returned Rectangle bounds object according to the contains(point) method of the bounds. Specifically:

shape.contains(x,y) requires bounds.contains(x,y)

If a point is not inside the shape, then it might still be contained in the bounds object:

bounds.contains(x,y) does not imply shape.contains(x,y)

public PathIterator getPathIterator(AffineTransform at)

Returns an iteration object that defines the boundary of the shape. The iterator for this class is not multi-threaded safe, which means that this CubicCurve2D class does not guarantee that modifications to the geometry of this CubicCurve2D object do not affect any iterations of that geometry that are already in process.

public PathIterator getPathIterator(AffineTransform at, double flatness)

Return an iteration object that defines the boundary of the flattened shape. The iterator for this class is not multi-threaded safe, which means that this CubicCurve2D class does not guarantee that modifications to the geometry of this CubicCurve2D object do not affect any iterations of that geometry that are already in process.

public Object clone()

Creates a new object of the same class as this object.