public abstract class CubicCurve2D extends Object implements Shape, Cloneable
CubicCurve2D class defines a cubic parametric curve
 segment in (x,y) coordinate space.
 This class is only the abstract superclass for all objects which store a 2D cubic curve segment. The actual storage representation of the coordinates is left to the subclass.
| Modifier and Type | Class and Description | 
|---|---|
| static class  | CubicCurve2D.DoubleA cubic parametric curve segment specified with
  doublecoordinates. | 
| static class  | CubicCurve2D.FloatA cubic parametric curve segment specified with
  floatcoordinates. | 
| Modifier | Constructor and Description | 
|---|---|
| protected  | CubicCurve2D()This is an abstract class that cannot be instantiated directly. | 
| Modifier and Type | Method and Description | 
|---|---|
| Object | clone()Creates a new object of the same class as this object. | 
| 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. | 
| boolean | contains(double x,
        double y,
        double w,
        double h)Tests if the interior of the  Shapeentirely contains
 the specified rectangular area. | 
| boolean | contains(Point2D p)Tests if a specified  Point2Dis inside the boundary
 of theShape, as described by the
 
 definition of insideness. | 
| boolean | contains(Rectangle2D r)Tests if the interior of the  Shapeentirely contains the
 specifiedRectangle2D. | 
| Rectangle | getBounds()Returns an integer  Rectanglethat completely encloses theShape. | 
| abstract Point2D | getCtrlP1()Returns the first control point. | 
| abstract Point2D | getCtrlP2()Returns the second control point. | 
| abstract double | getCtrlX1()Returns the X coordinate of the first control point in double precision. | 
| abstract double | getCtrlX2()Returns the X coordinate of the second control point
 in double precision. | 
| abstract double | getCtrlY1()Returns the Y coordinate of the first control point in double precision. | 
| abstract double | getCtrlY2()Returns the Y coordinate of the second control point
 in double precision. | 
| double | getFlatness()Returns the flatness of this curve. | 
| 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. | 
| 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. | 
| double | getFlatnessSq()Returns the square of the flatness of this curve. | 
| 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. | 
| 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. | 
| abstract Point2D | getP1()Returns the start point. | 
| abstract Point2D | getP2()Returns the end point. | 
| PathIterator | getPathIterator(AffineTransform at)Returns an iteration object that defines the boundary of the
 shape. | 
| PathIterator | getPathIterator(AffineTransform at,
               double flatness)Return an iteration object that defines the boundary of the
 flattened shape. | 
| abstract double | getX1()Returns the X coordinate of the start point in double precision. | 
| abstract double | getX2()Returns the X coordinate of the end point in double precision. | 
| abstract double | getY1()Returns the Y coordinate of the start point in double precision. | 
| abstract double | getY2()Returns the Y coordinate of the end point in double precision. | 
| boolean | intersects(double x,
          double y,
          double w,
          double h)Tests if the interior of the  Shapeintersects the
 interior of a specified rectangular area. | 
| boolean | intersects(Rectangle2D r)Tests if the interior of the  Shapeintersects the
 interior of a specifiedRectangle2D. | 
| 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. | 
| 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. | 
| 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. | 
| void | setCurve(Point2D[] pts,
        int offset)Sets the location of the end points and control points of this curve
 to the coordinates of the  Point2Dobjects at the specified
 offset in the specified array. | 
| 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  Point2Dcoordinates. | 
| static int | solveCubic(double[] eqn)Solves the cubic whose coefficients are in the  eqnarray and places the non-complex roots back into the same array,
 returning the number of roots. | 
| static int | solveCubic(double[] eqn,
          double[] res)Solve the cubic whose coefficients are in the  eqnarray and place the non-complex roots into theresarray, returning the number of roots. | 
| void | subdivide(CubicCurve2D left,
         CubicCurve2D right)Subdivides this cubic curve and stores the resulting two
 subdivided curves into the left and right curve parameters. | 
| static void | subdivide(CubicCurve2D src,
         CubicCurve2D left,
         CubicCurve2D right)Subdivides the cubic curve specified by the  srcparameter
 and stores the resulting two subdivided curves into theleftandrightcurve parameters. | 
| 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  srcarray at indicessrcoffthrough (srcoff+ 7) and stores the
 resulting two subdivided curves into the two result arrays at the
 corresponding indices. | 
equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, waitgetBounds2Dprotected CubicCurve2D()
CubicCurve2D.Float, 
CubicCurve2D.Doublepublic abstract double getX1()
CubicCurve2D.public abstract double getY1()
CubicCurve2D.public abstract Point2D getP1()
Point2D that is the start point of
         the CubicCurve2D.public abstract double getCtrlX1()
CubicCurve2D.public abstract double getCtrlY1()
CubicCurve2D.public abstract Point2D getCtrlP1()
Point2D that is the first control point of
         the CubicCurve2D.public abstract double getCtrlX2()
CubicCurve2D.public abstract double getCtrlY2()
CubicCurve2D.public abstract Point2D getCtrlP2()
Point2D that is the second control point of
         the CubicCurve2D.public abstract double getX2()
CubicCurve2D.public abstract double getY2()
CubicCurve2D.public abstract Point2D getP2()
Point2D that is the end point of
         the CubicCurve2D.public abstract void setCurve(double x1,
            double y1,
            double ctrlx1,
            double ctrly1,
            double ctrlx2,
            double ctrly2,
            double x2,
            double y2)
x1 - the X coordinate used to set the start point
           of this CubicCurve2Dy1 - the Y coordinate used to set the start point
           of this CubicCurve2Dctrlx1 - the X coordinate used to set the first control point
               of this CubicCurve2Dctrly1 - the Y coordinate used to set the first control point
               of this CubicCurve2Dctrlx2 - the X coordinate used to set the second control point
               of this CubicCurve2Dctrly2 - the Y coordinate used to set the second control point
               of this CubicCurve2Dx2 - the X coordinate used to set the end point
           of this CubicCurve2Dy2 - the Y coordinate used to set the end point
           of this CubicCurve2Dpublic void setCurve(double[] coords,
            int offset)
coords - a double array containing coordinatesoffset - the index of coords from which to begin
          setting the end points and control points of this curve
          to the coordinates contained in coordspublic void setCurve(Point2D p1, Point2D cp1, Point2D cp2, Point2D p2)
Point2D coordinates.p1 - the first specified Point2D used to set the
          start point of this curvecp1 - the second specified Point2D used to set the
          first control point of this curvecp2 - the third specified Point2D used to set the
          second control point of this curvep2 - the fourth specified Point2D used to set the
          end point of this curvepublic void setCurve(Point2D[] pts, int offset)
Point2D objects at the specified
 offset in the specified array.pts - an array of Point2D objectsoffset - the index of pts from which to begin setting
          the end points and control points of this curve to the
          points contained in ptspublic void setCurve(CubicCurve2D c)
CubicCurve2D.c - the specified CubicCurve2Dpublic static double getFlatnessSq(double x1,
                   double y1,
                   double ctrlx1,
                   double ctrly1,
                   double ctrlx2,
                   double ctrly2,
                   double x2,
                   double y2)
x1 - the X coordinate that specifies the start point
           of a CubicCurve2Dy1 - the Y coordinate that specifies the start point
           of a CubicCurve2Dctrlx1 - the X coordinate that specifies the first control point
               of a CubicCurve2Dctrly1 - the Y coordinate that specifies the first control point
               of a CubicCurve2Dctrlx2 - the X coordinate that specifies the second control point
               of a CubicCurve2Dctrly2 - the Y coordinate that specifies the second control point
               of a CubicCurve2Dx2 - the X coordinate that specifies the end point
           of a CubicCurve2Dy2 - the Y coordinate that specifies the end point
           of a CubicCurve2DCubicCurve2D
          represented by the specified coordinates.public static double getFlatness(double x1,
                 double y1,
                 double ctrlx1,
                 double ctrly1,
                 double ctrlx2,
                 double ctrly2,
                 double x2,
                 double y2)
x1 - the X coordinate that specifies the start point
           of a CubicCurve2Dy1 - the Y coordinate that specifies the start point
           of a CubicCurve2Dctrlx1 - the X coordinate that specifies the first control point
               of a CubicCurve2Dctrly1 - the Y coordinate that specifies the first control point
               of a CubicCurve2Dctrlx2 - the X coordinate that specifies the second control point
               of a CubicCurve2Dctrly2 - the Y coordinate that specifies the second control point
               of a CubicCurve2Dx2 - the X coordinate that specifies the end point
           of a CubicCurve2Dy2 - the Y coordinate that specifies the end point
           of a CubicCurve2DCubicCurve2D
          represented by the specified coordinates.public static double getFlatnessSq(double[] coords,
                   int offset)
coords - an array containing coordinatesoffset - the index of coords from which to begin
          getting the end points and control points of the curveCubicCurve2D
          specified by the coordinates in coords at
          the specified offset.public static double getFlatness(double[] coords,
                 int offset)
coords - an array containing coordinatesoffset - the index of coords from which to begin
          getting the end points and control points of the curveCubicCurve2D
          specified by the coordinates in coords at
          the specified offset.public double getFlatnessSq()
public double getFlatness()
public void subdivide(CubicCurve2D left, CubicCurve2D right)
left - the cubic curve object for storing for the left or
 first half of the subdivided curveright - the cubic curve object for storing for the right or
 second half of the subdivided curvepublic static void subdivide(CubicCurve2D src, CubicCurve2D left, CubicCurve2D right)
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.src - the cubic curve to be subdividedleft - the cubic curve object for storing the left or
 first half of the subdivided curveright - the cubic curve object for storing the right or
 second half of the subdivided curvepublic static void subdivide(double[] src,
             int srcoff,
             double[] left,
             int leftoff,
             double[] right,
             int rightoff)
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.src - the array holding the coordinates for the source curvesrcoff - the offset into the array of the beginning of the
 the 6 source coordinatesleft - the array for storing the coordinates for the first
 half of the subdivided curveleftoff - the offset into the array of the beginning of the
 the 6 left coordinatesright - the array for storing the coordinates for the second
 half of the subdivided curverightoff - the offset into the array of the beginning of the
 the 6 right coordinatespublic static int solveCubic(double[] eqn)
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.eqn - an array containing coefficients for a cubicpublic static int solveCubic(double[] eqn,
             double[] res)
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.eqn - the specified array of coefficients to use to solve
        the cubic equationres - the array that contains the non-complex roots
        resulting from the solution of the cubic equationpublic boolean contains(double x,
               double y)
Shape, as described by the
 
 definition of insideness.public boolean contains(Point2D p)
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)
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:
 
Shape intersect, but
 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.intersects in interface Shapex - the X coordinate of the upper-left corner
          of the specified rectangular areay - the Y coordinate of the upper-left corner
          of the specified rectangular areaw - the width of the specified rectangular areah - the height of the specified rectangular areatrue if the interior of the Shape and
          the interior of the rectangular area intersect, or are
          both highly likely to intersect and intersection calculations
          would be too expensive to perform; false otherwise.Areapublic boolean intersects(Rectangle2D r)
Shape intersects the
 interior of a specified Rectangle2D.
 The Shape.intersects() method allows a Shape
 implementation to conservatively return true when:
 Rectangle2D and the
 Shape intersect, but
 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.intersects in interface Shaper - the specified Rectangle2Dtrue if the interior of the Shape and
          the interior of the specified Rectangle2D
          intersect, or are both highly likely to intersect and intersection
          calculations would be too expensive to perform; false
          otherwise.Shape.intersects(double, double, double, double)public boolean contains(double x,
               double y,
               double w,
               double h)
Shape entirely contains
 the specified rectangular area.  All coordinates that lie inside
 the rectangular area must lie within the Shape for the
 entire rectanglar area to be considered contained within the
 Shape.
 
 The Shape.contains() method allows a Shape
 implementation to conservatively return false when:
 
intersect method returns true and
 Shape entirely contains the rectangular area are
 prohibitively expensive.
 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.contains in interface Shapex - the X coordinate of the upper-left corner
          of the specified rectangular areay - the Y coordinate of the upper-left corner
          of the specified rectangular areaw - the width of the specified rectangular areah - the height of the specified rectangular areatrue if the interior of the Shape
          entirely contains the specified rectangular area;
          false otherwise or, if the Shape
          contains the rectangular area and the
          intersects method returns true
          and the containment calculations would be too expensive to
          perform.Area, 
Shape.intersects(double, double, double, double)public boolean contains(Rectangle2D r)
Shape entirely contains the
 specified Rectangle2D.
 The Shape.contains() method allows a Shape
 implementation to conservatively return false when:
 intersect method returns true and
 Shape entirely contains the Rectangle2D
 are prohibitively expensive.
 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.contains in interface Shaper - The specified Rectangle2Dtrue if the interior of the Shape
          entirely contains the Rectangle2D;
          false otherwise or, if the Shape
          contains the Rectangle2D and the
          intersects method returns true
          and the containment calculations would be too expensive to
          perform.Shape.contains(double, double, double, double)public Rectangle getBounds()
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)
 
getBounds in interface ShapeRectangle that completely encloses
                 the Shape.Shape.getBounds2D()public PathIterator getPathIterator(AffineTransform at)
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.getPathIterator in interface Shapeat - an optional AffineTransform to be applied to the
 coordinates as they are returned in the iteration, or null
 if untransformed coordinates are desiredPathIterator object that returns the
          geometry of the outline of this CubicCurve2D, one
          segment at a time.public PathIterator getPathIterator(AffineTransform at, double flatness)
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.getPathIterator in interface Shapeat - an optional AffineTransform to be applied to the
 coordinates as they are returned in the iteration, or null
 if untransformed coordinates are desiredflatness - the maximum amount that the control points
 for a given curve can vary from colinear before a subdivided
 curve is replaced by a straight line connecting the end pointsPathIterator object that returns the
 geometry of the outline of this CubicCurve2D,
 one segment at a time.public Object clone()
clone in class ObjectOutOfMemoryError - if there is not enough memory.Cloneable Submit a bug or feature 
For further API reference and developer documentation, see Java SE Documentation. That documentation contains more detailed, developer-targeted descriptions, with conceptual overviews, definitions of terms, workarounds, and working code examples.
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