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Java Standard Edition (SE)

QuadCurve2D


java.awt.geom

Class QuadCurve2D

  • All Implemented Interfaces:
    Shape, Cloneable
    Direct Known Subclasses:
    QuadCurve2D.Double, QuadCurve2D.Float


    public abstract class QuadCurve2D
    extends Object
    implements Shape, Cloneable
    The QuadCurve2D class defines a quadratic parametric curve segment in (x,y) coordinate space.

    This class is only the abstract superclass for all objects that store a 2D quadratic curve segment. The actual storage representation of the coordinates is left to the subclass.

    Since:
    1.2
    • Nested Class Summary

      Nested Classes 
      Modifier and Type Class and Description
      static class  QuadCurve2D.Double
      A quadratic parametric curve segment specified with double coordinates.
      static class  QuadCurve2D.Float
      A quadratic parametric curve segment specified with float coordinates.
    • Constructor Summary

      Constructors 
      Modifier Constructor and Description
      protected QuadCurve2D()
      This is an abstract class that cannot be instantiated directly.
    • Method Summary

      All Methods Static Methods Instance Methods Abstract Methods Concrete Methods 
      Modifier and Type Method and Description
      Object clone()
      Creates a new object of the same class and with the same contents 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 Shape entirely contains the specified rectangular area.
      boolean contains(Point2D p)
      Tests if a specified Point2D is inside the boundary of the Shape, as described by the definition of insideness.
      boolean contains(Rectangle2D r)
      Tests if the interior of the Shape entirely contains the specified Rectangle2D.
      Rectangle getBounds()
      Returns an integer Rectangle that completely encloses the Shape.
      abstract Point2D getCtrlPt()
      Returns the control point.
      abstract double getCtrlX()
      Returns the X coordinate of the control point in double precision.
      abstract double getCtrlY()
      Returns the Y coordinate of the control point in double precision.
      double getFlatness()
      Returns the flatness, or maximum distance of a control point from the line connecting the end points, of this QuadCurve2D.
      static double getFlatness(double[] coords, int offset)
      Returns the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the control points stored in the indicated array at the indicated index.
      static double getFlatness(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
      Returns the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the indicated control points.
      double getFlatnessSq()
      Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of this QuadCurve2D.
      static double getFlatnessSq(double[] coords, int offset)
      Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the control points stored in the indicated array at the indicated index.
      static double getFlatnessSq(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
      Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic 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 of this QuadCurve2D.
      PathIterator getPathIterator(AffineTransform at, double flatness)
      Returns an iteration object that defines the boundary of the flattened shape of this QuadCurve2D.
      abstract double getX1()
      Returns the X coordinate of the start point in double in 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 Shape intersects the interior of a specified rectangular area.
      boolean intersects(Rectangle2D r)
      Tests if the interior of the Shape intersects the interior of a specified Rectangle2D.
      void setCurve(double[] coords, int offset)
      Sets the location of the end points and control points of this QuadCurve2D to the double coordinates at the specified offset in the specified array.
      abstract void setCurve(double x1, double y1, double ctrlx, double ctrly, double x2, double y2)
      Sets the location of the end points and control point 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 QuadCurve2D to the coordinates of the Point2D objects at the specified offset in the specified array.
      void setCurve(Point2D p1, Point2D cp, Point2D p2)
      Sets the location of the end points and control point of this QuadCurve2D to the specified Point2D coordinates.
      void setCurve(QuadCurve2D c)
      Sets the location of the end points and control point of this QuadCurve2D to the same as those in the specified QuadCurve2D.
      static int solveQuadratic(double[] eqn)
      Solves the quadratic whose coefficients are in the eqn array and places the non-complex roots back into the same array, returning the number of roots.
      static int solveQuadratic(double[] eqn, double[] res)
      Solves the quadratic whose coefficients are in the eqn array and places the non-complex roots into the res array, returning the number of roots.
      static void subdivide(double[] src, int srcoff, double[] left, int leftoff, double[] right, int rightoff)
      Subdivides the quadratic curve specified by the coordinates stored in the src array at indices srcoff through srcoff + 5 and stores the resulting two subdivided curves into the two result arrays at the corresponding indices.
      void subdivide(QuadCurve2D left, QuadCurve2D right)
      Subdivides this QuadCurve2D and stores the resulting two subdivided curves into the left and right curve parameters.
      static void subdivide(QuadCurve2D src, QuadCurve2D left, QuadCurve2D right)
      Subdivides the quadratic curve specified by the src parameter and stores the resulting two subdivided curves into the left and right curve parameters.
    • Constructor Detail

      • QuadCurve2D

        protected QuadCurve2D()
        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.
        Since:
        1.2
        See Also:
        QuadCurve2D.Float, QuadCurve2D.Double
    • Method Detail

      • getX1

        public abstract double getX1()
        Returns the X coordinate of the start point in double in precision.
        Returns:
        the X coordinate of the start point.
        Since:
        1.2
      • getY1

        public abstract double getY1()
        Returns the Y coordinate of the start point in double precision.
        Returns:
        the Y coordinate of the start point.
        Since:
        1.2
      • getP1

        public abstract Point2D getP1()
        Returns the start point.
        Returns:
        a Point2D that is the start point of this QuadCurve2D.
        Since:
        1.2
      • getCtrlX

        public abstract double getCtrlX()
        Returns the X coordinate of the control point in double precision.
        Returns:
        X coordinate the control point
        Since:
        1.2
      • getCtrlY

        public abstract double getCtrlY()
        Returns the Y coordinate of the control point in double precision.
        Returns:
        the Y coordinate of the control point.
        Since:
        1.2
      • getCtrlPt

        public abstract Point2D getCtrlPt()
        Returns the control point.
        Returns:
        a Point2D that is the control point of this Point2D.
        Since:
        1.2
      • getX2

        public abstract double getX2()
        Returns the X coordinate of the end point in double precision.
        Returns:
        the x coordinate of the end point.
        Since:
        1.2
      • getY2

        public abstract double getY2()
        Returns the Y coordinate of the end point in double precision.
        Returns:
        the Y coordinate of the end point.
        Since:
        1.2
      • getP2

        public abstract Point2D getP2()
        Returns the end point.
        Returns:
        a Point object that is the end point of this Point2D.
        Since:
        1.2
      • setCurve

        public abstract void setCurve(double x1,
                                      double y1,
                                      double ctrlx,
                                      double ctrly,
                                      double x2,
                                      double y2)
        Sets the location of the end points and control point of this curve to the specified double coordinates.
        Parameters:
        x1 - the X coordinate of the start point
        y1 - the Y coordinate of the start point
        ctrlx - the X coordinate of the control point
        ctrly - the Y coordinate of the control point
        x2 - the X coordinate of the end point
        y2 - the Y coordinate of the end point
        Since:
        1.2
      • setCurve

        public void setCurve(double[] coords,
                             int offset)
        Sets the location of the end points and control points of this QuadCurve2D to the double coordinates at the specified offset in the specified array.
        Parameters:
        coords - the array containing coordinate values
        offset - the index into the array from which to start getting the coordinate values and assigning them to this QuadCurve2D
        Since:
        1.2
      • setCurve

        public void setCurve(Point2D p1,
                             Point2D cp,
                             Point2D p2)
        Sets the location of the end points and control point of this QuadCurve2D to the specified Point2D coordinates.
        Parameters:
        p1 - the start point
        cp - the control point
        p2 - the end point
        Since:
        1.2
      • setCurve

        public void setCurve(Point2D[] pts,
                             int offset)
        Sets the location of the end points and control points of this QuadCurve2D to the coordinates of the Point2D objects at the specified offset in the specified array.
        Parameters:
        pts - an array containing Point2D that define coordinate values
        offset - the index into pts from which to start getting the coordinate values and assigning them to this QuadCurve2D
        Since:
        1.2
      • setCurve

        public void setCurve(QuadCurve2D c)
        Sets the location of the end points and control point of this QuadCurve2D to the same as those in the specified QuadCurve2D.
        Parameters:
        c - the specified QuadCurve2D
        Since:
        1.2
      • getFlatnessSq

        public static double getFlatnessSq(double x1,
                                           double y1,
                                           double ctrlx,
                                           double ctrly,
                                           double x2,
                                           double y2)
        Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the indicated control points.
        Parameters:
        x1 - the X coordinate of the start point
        y1 - the Y coordinate of the start point
        ctrlx - the X coordinate of the control point
        ctrly - the Y coordinate of the control point
        x2 - the X coordinate of the end point
        y2 - the Y coordinate of the end point
        Returns:
        the square of the flatness of the quadratic curve defined by the specified coordinates.
        Since:
        1.2
      • getFlatness

        public static double getFlatness(double x1,
                                         double y1,
                                         double ctrlx,
                                         double ctrly,
                                         double x2,
                                         double y2)
        Returns the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the indicated control points.
        Parameters:
        x1 - the X coordinate of the start point
        y1 - the Y coordinate of the start point
        ctrlx - the X coordinate of the control point
        ctrly - the Y coordinate of the control point
        x2 - the X coordinate of the end point
        y2 - the Y coordinate of the end point
        Returns:
        the flatness of the quadratic curve defined by the specified coordinates.
        Since:
        1.2
      • getFlatnessSq

        public static double getFlatnessSq(double[] coords,
                                           int offset)
        Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the control points stored in the indicated array at the indicated index.
        Parameters:
        coords - an array containing coordinate values
        offset - the index into coords from which to to start getting the values from the array
        Returns:
        the flatness of the quadratic curve that is defined by the values in the specified array at the specified index.
        Since:
        1.2
      • getFlatness

        public static double getFlatness(double[] coords,
                                         int offset)
        Returns the flatness, or maximum distance of a control point from the line connecting the end points, of the quadratic curve specified by the control points stored in the indicated array at the indicated index.
        Parameters:
        coords - an array containing coordinate values
        offset - the index into coords from which to start getting the coordinate values
        Returns:
        the flatness of a quadratic curve defined by the specified array at the specified offset.
        Since:
        1.2
      • getFlatnessSq

        public double getFlatnessSq()
        Returns the square of the flatness, or maximum distance of a control point from the line connecting the end points, of this QuadCurve2D.
        Returns:
        the square of the flatness of this QuadCurve2D.
        Since:
        1.2
      • getFlatness

        public double getFlatness()
        Returns the flatness, or maximum distance of a control point from the line connecting the end points, of this QuadCurve2D.
        Returns:
        the flatness of this QuadCurve2D.
        Since:
        1.2
      • subdivide

        public void subdivide(QuadCurve2D left,
                              QuadCurve2D right)
        Subdivides this QuadCurve2D and stores the resulting two subdivided curves into the left and right curve parameters. Either or both of the left and right objects can be the same as this QuadCurve2D or null.
        Parameters:
        left - the QuadCurve2D object for storing the left or first half of the subdivided curve
        right - the QuadCurve2D object for storing the right or second half of the subdivided curve
        Since:
        1.2
      • subdivide

        public static void subdivide(QuadCurve2D src,
                                     QuadCurve2D left,
                                     QuadCurve2D right)
        Subdivides the quadratic 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 can be the same as the src object or null.
        Parameters:
        src - the quadratic curve to be subdivided
        left - the QuadCurve2D object for storing the left or first half of the subdivided curve
        right - the QuadCurve2D object for storing the right or second half of the subdivided curve
        Since:
        1.2
      • subdivide

        public static void subdivide(double[] src,
                                     int srcoff,
                                     double[] left,
                                     int leftoff,
                                     double[] right,
                                     int rightoff)
        Subdivides the quadratic curve specified by the coordinates stored in the src array at indices srcoff through srcoff + 5 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 can be null or a reference to the same array and offset 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 that rightoff equals leftoff + 4 in order to avoid allocating extra storage for this common point.
        Parameters:
        src - the array holding the coordinates for the source curve
        srcoff - the offset into the array of the beginning of the the 6 source coordinates
        left - the array for storing the coordinates for the first half of the subdivided curve
        leftoff - the offset into the array of the beginning of the the 6 left coordinates
        right - the array for storing the coordinates for the second half of the subdivided curve
        rightoff - the offset into the array of the beginning of the the 6 right coordinates
        Since:
        1.2
      • solveQuadratic

        public static int solveQuadratic(double[] eqn)
        Solves the quadratic whose coefficients are in the eqn array and places the non-complex roots back into the same array, returning the number of roots. The quadratic solved is represented by the equation:
             eqn = {C, B, A};
             ax^2 + bx + c = 0
         
        A return value of -1 is used to distinguish a constant equation, which might be always 0 or never 0, from an equation that has no zeroes.
        Parameters:
        eqn - the array that contains the quadratic coefficients
        Returns:
        the number of roots, or -1 if the equation is a constant
        Since:
        1.2
      • solveQuadratic

        public static int solveQuadratic(double[] eqn,
                                         double[] res)
        Solves the quadratic whose coefficients are in the eqn array and places the non-complex roots into the res array, returning the number of roots. The quadratic solved is represented by the equation:
             eqn = {C, B, A};
             ax^2 + bx + c = 0
         
        A return value of -1 is used to distinguish a constant equation, which might be always 0 or never 0, from an equation that has no zeroes.
        Parameters:
        eqn - the specified array of coefficients to use to solve the quadratic equation
        res - the array that contains the non-complex roots resulting from the solution of the quadratic equation
        Returns:
        the number of roots, or -1 if the equation is a constant.
        Since:
        1.3
      • contains

        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.
        Specified by:
        contains in interface Shape
        Parameters:
        x - the specified X coordinate to be tested
        y - the specified Y coordinate to be tested
        Returns:
        true if the specified coordinates are inside the Shape boundary; false otherwise.
        Since:
        1.2
      • contains

        public boolean contains(Point2D p)
        Tests if a specified Point2D is inside the boundary of the Shape, as described by the definition of insideness.
        Specified by:
        contains in interface Shape
        Parameters:
        p - the specified Point2D to be tested
        Returns:
        true if the specified Point2D is inside the boundary of the Shape; false otherwise.
        Since:
        1.2
      • intersects

        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.
        Specified by:
        intersects in interface Shape
        Parameters:
        x - the X coordinate of the upper-left corner of the specified rectangular area
        y - the Y coordinate of the upper-left corner of the specified rectangular area
        w - the width of the specified rectangular area
        h - the height of the specified rectangular area
        Returns:
        true 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.
        Since:
        1.2
        See Also:
        Area
      • intersects

        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.
        Specified by:
        intersects in interface Shape
        Parameters:
        r - the specified Rectangle2D
        Returns:
        true 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.
        Since:
        1.2
        See Also:
        Shape.intersects(double, double, double, double)
      • contains

        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.
        Specified by:
        contains in interface Shape
        Parameters:
        x - the X coordinate of the upper-left corner of the specified rectangular area
        y - the Y coordinate of the upper-left corner of the specified rectangular area
        w - the width of the specified rectangular area
        h - the height of the specified rectangular area
        Returns:
        true 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.
        Since:
        1.2
        See Also:
        Area, Shape.intersects(double, double, double, double)
      • contains

        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.
        Specified by:
        contains in interface Shape
        Parameters:
        r - The specified Rectangle2D
        Returns:
        true 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.
        Since:
        1.2
        See Also:
        Shape.contains(double, double, double, double)
      • getBounds

        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)

        Specified by:
        getBounds in interface Shape
        Returns:
        an integer Rectangle that completely encloses the Shape.
        Since:
        1.2
        See Also:
        Shape.getBounds2D()
      • getPathIterator

        public PathIterator getPathIterator(AffineTransform at)
        Returns an iteration object that defines the boundary of the shape of this QuadCurve2D. The iterator for this class is not multi-threaded safe, which means that this QuadCurve2D class does not guarantee that modifications to the geometry of this QuadCurve2D object do not affect any iterations of that geometry that are already in process.
        Specified by:
        getPathIterator in interface Shape
        Parameters:
        at - an optional AffineTransform to apply to the shape boundary
        Returns:
        a PathIterator object that defines the boundary of the shape.
        Since:
        1.2
      • getPathIterator

        public PathIterator getPathIterator(AffineTransform at,
                                            double flatness)
        Returns an iteration object that defines the boundary of the flattened shape of this QuadCurve2D. The iterator for this class is not multi-threaded safe, which means that this QuadCurve2D class does not guarantee that modifications to the geometry of this QuadCurve2D object do not affect any iterations of that geometry that are already in process.
        Specified by:
        getPathIterator in interface Shape
        Parameters:
        at - an optional AffineTransform to apply to the boundary of the shape
        flatness - the maximum distance that the control points for a subdivided curve can be with respect to a line connecting the end points of this curve before this curve is replaced by a straight line connecting the end points.
        Returns:
        a PathIterator object that defines the flattened boundary of the shape.
        Since:
        1.2
      • clone

        public Object clone()
        Creates a new object of the same class and with the same contents as this object.
        Overrides:
        clone in class Object
        Returns:
        a clone of this instance.
        Throws:
        OutOfMemoryError - if there is not enough memory.
        Since:
        1.2
        See Also:
        Cloneable


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