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## java.awt.geom
Class QuadCurve2D

    java.lang.Object
      |
      +--java.awt.geom.QuadCurve2D

All Implemented Interfaces:
  Cloneable, Shape

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.

Inner Class Summary
`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
`protected` | `QuadCurve2D()` This is an abstract class that cannot be instantiated directly.

Method Summary
`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 a specified coordinate is inside the boundary of the shape of this `QuadCurve2D`.
`boolean` | `contains(double x, double y, double w, double h)` Tests if the interior of the shape of this `QuadCurve2D` entirely contains the specified set of rectangular coordinates.
`boolean` | `contains(Point2D p)` Tests if a specified `Point2D` is inside the boundary of the shape of this `QuadCurve2D`.
`boolean` | `contains(Rectangle2D r)` Tests if the interior of the shape of this `QuadCurve2D` entirely contains the specified `Rectangle2D`.
`Rectangle` | `getBounds()` Returns the bounding box of this `QuadCurve2D`.
`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 controlpoint from the line connecting the endpoints, of this `QuadCurve2D`.
`static double` | `getFlatness(double[] coords, int offset)` Returns the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of the quadratic curve specified by the controlpoints 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 controlpoint from the line connecting the endpoints, of the quadratic curve specified by the indicated controlpoints.
`double` | `getFlatnessSq()` Returns the square of the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of this `QuadCurve2D`.
`static double` | `getFlatnessSq(double[] coords, int offset)` Returns the square of the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of the quadratic curve specified by the controlpoints 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 controlpoint from the line connecting the endpoints, of the quadratic curve specified by the indicated controlpoints.
`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 shape of this `QuadCurve2D` intersects the interior of a specified set of rectangular coordinates.
`boolean` | `intersects(Rectangle2D r)` Tests if the shape of this `QuadCurve2D` intersects the interior of a specified `Rectangle2D`.
`void` | `setCurve(double[] coords, int offset)` Sets the location of the endpoints and controlpoints 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 endpoints and controlpoint of this curve to the specified `double` coordinates.
`void` | `setCurve(Point2D[] pts, int offset)` Sets the location of the endpoints and controlpoints 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 endpoints and controlpoint of this `QuadCurve2D` to the specified `Point2D` coordinates.
`void` | `setCurve(QuadCurve2D c)` Sets the location of the endpoints and controlpoint 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.

Methods inherited from class java.lang.Object
`equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Methods inherited from interface java.awt.Shape
`getBounds2D`

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.
  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.

### getY1

    public abstract double getY1()

  Returns the y coordinate of the start point in `double` precision.
  Returns:
    the y coordinate of the start point.

### getP1

    public abstract Point2D getP1()

  Returns the start point.
  Returns:
    a `Point2D` that is the start point of this `QuadCurve2D`.

### getCtrlX

    public abstract double getCtrlX()

  Returns the x coordinate of the control point in `double` precision.
  Returns:
    x coordinate the control point

### getCtrlY

    public abstract double getCtrlY()

  Returns the y coordinate of the control point in `double` precision.
  Returns:
    the y coordinate of the control point.

### getCtrlPt

    public abstract Point2D getCtrlPt()

  Returns the control point.
  Returns:
    a `Point2D` that is the control point of this `Point2D`.

### getX2

    public abstract double getX2()

  Returns the x coordinate of the end point in `double` precision.
  Returns:
    the x coordiante of the end point.

### getY2

    public abstract double getY2()

  Returns the y coordinate of the end point in `double` precision.
  Returns:
    the y coordinate of the end point.

### getP2

    public abstract Point2D getP2()

  Returns the end point.
  Returns:
    a `Point` object that is the end point of this `Point2D`.

### setCurve

    public abstract void setCurve(double x1,
                                  double y1,
                                  double ctrlx,
                                  double ctrly,
                                  double x2,
                                  double y2)

  Sets the location of the endpoints and controlpoint of this curve to the specified `double` coordinates.
  Parameters:
    `x1, y1` - the coordinates of the starting point
    `ctrlx, ctrly` - the coordinates of the control point
    `x2, y1` - the coordinates of the ending point

### setCurve

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

  Sets the location of the endpoints and controlpoints 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`

### setCurve

    public void setCurve(Point2D p1,
                         Point2D cp,
                         Point2D p2)

  Sets the location of the endpoints and controlpoint of this `QuadCurve2D` to the specified `Point2D` coordinates.
  Parameters:
    `p1` - the starting point
    `cp` - the control point
    `p2` - the ending point

### setCurve

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

  Sets the location of the endpoints and controlpoints 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` at which to start getting the coordinate values and assigning them to this `QuadCurve2D`

### setCurve

    public void setCurve(QuadCurve2D c)

  Sets the location of the endpoints and controlpoint of this `QuadCurve2D` to the same as those in the specified `QuadCurve2D`.
  Parameters:
    `c` - the specified `QuadCurve2D`

### 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 controlpoint from the line connecting the endpoints, of the quadratic curve specified by the indicated controlpoints.
  Parameters:
    `x1, y1` - the coordinates of the starting point
    `ctrlx, ctrly` - the coordinates of the control point
    `x2, y1` - the coordinates of the ending point
  Returns:
    the square of the flatness of the quadratic curve defined by the specified coordinates.

### 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 controlpoint from the line connecting the endpoints, of the quadratic curve specified by the indicated controlpoints.
  Parameters:
    `x1, y1` - the coordinates of the starting point
    `ctrlx, ctrly` - the coordinates of the control point
    `x2, y1` - the coordinates of the ending point
  Returns:
    the flatness of the quadratic curve defined by the specified coordinates.

### getFlatnessSq

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

  Returns the square of the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of the quadratic curve specified by the controlpoints stored in the indicated array at the indicated index.
  Parameters:
    `coords` - an array containing coordinate values
    `offset` - the index into `coords` at which to to start getting the values from the array and assigning them to a quadratic curve
  Returns:
    the flatness of the quadratic curve that is defined by the values in the specified array at the specified index.

### getFlatness

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

  Returns the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of the quadratic curve specified by the controlpoints stored in the indicated array at the indicated index.
  Parameters:
    `coords` - an array containing coordinate values
    `offset` - the index into `coords` at which to start getting the coordinate values and assigning them to a quadratic curve
  Returns:
    the flatness of a quadratic curve defined by the specified array at the specified offset.

### getFlatnessSq

    public double getFlatnessSq()

  Returns the square of the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of this `QuadCurve2D`.
  Returns:
    the square of the flatness of this `QuadCurve2D`.

### getFlatness

    public double getFlatness()

  Returns the flatness, or maximum distance of a controlpoint from the line connecting the endpoints, of this `QuadCurve2D`.
  Returns:
    the flatness of this `QuadCurve2D`.

### 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

### 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

### 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

### 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:
    `equ` - the array that contains the quadratic coefficients
  Returns:
    the number of roots, or `-1` if the equation is a constant

### 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.
  Returns:
    the number of roots, or `-1` if the equation is a constant.

### contains

    public boolean contains(double x,
                            double y)

  Tests if a specified coordinate is inside the boundary of the shape of this `QuadCurve2D`.
  Specified by:
    `contains` in interface `Shape`
  Parameters:
    `x, y` - the specified coordinates
  Returns:
    `true` if the specified coordinate is inside the boundary of the shape of this `QuadCurve2D`; `false` otherwise.

### contains

    public boolean contains(Point2D p)

  Tests if a specified `Point2D` is inside the boundary of the shape of this `QuadCurve2D`.
  Specified by:
    `contains` in interface `Shape`
  Parameters:
    `p` - the specified `Point2D`
  Returns:
    `true` if the specified `Point2D` is inside the boundary of the shape of this `QuadCurve2D`.

### intersects

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

  Tests if the shape of this `QuadCurve2D` intersects the interior of a specified set of rectangular coordinates.
  Specified by:
    `intersects` in interface `Shape`
  Parameters:
    `x, y` - the coordinates 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 shape of this `QuadCurve2D` intersects the interior of the specified set of rectangular coordinates; `false` otherwise.

### intersects

    public boolean intersects(Rectangle2D r)

  Tests if the shape of this `QuadCurve2D` intersects the interior of a specified `Rectangle2D`.
  Specified by:
    `intersects` in interface `Shape`
  Parameters:
    `r` - the specified `Rectangle2D`
  Returns:
    `true` if the shape of this `QuadCurve2D` intersects the interior of the specified `Rectangle2D`; `false` otherwise.

### contains

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

  Tests if the interior of the shape of this `QuadCurve2D` entirely contains the specified set of rectangular coordinates.
  Specified by:
    `contains` in interface `Shape`
  Parameters:
    `x, y` - the coordinates 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 of this `QuadCurve2D` entirely contains the specified rectangluar area; `false` otherwise.

### contains

    public boolean contains(Rectangle2D r)

  Tests if the interior of the shape of this `QuadCurve2D` entirely contains the specified `Rectangle2D`.
  Specified by:
    `contains` in interface `Shape`
  Parameters:
    `r` - the specified `Rectangle2D`
  Returns:
    `true` if the interior of the shape of this `QuadCurve2D` entirely contains the specified `Rectangle2D`; `false` otherwise.

### getBounds

    public Rectangle getBounds()

  Returns the bounding box of this `QuadCurve2D`.
  Specified by:
    `getBounds` in interface `Shape`
  Returns:
    a `Rectangle` that is the bounding box of the shape of this `QuadCurve2D`.

### 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.

### 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 endpoints of this curve before this curve is replaced by a straight line connecting the endpoints.
  Returns:
    a `PathIterator` object that defines the flattened boundary of the shape.

### 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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| JavaTM 2 Platform Std. Ed. v1.3.1
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