EllipseArc2D (java-geom 3.3.1 API)

java.lang.Object
- math.geom2d.curve.AbstractContinuousCurve2D
- - math.geom2d.curve.AbstractSmoothCurve2D
  - - math.geom2d.conic.EllipseArc2D

All Implemented Interfaces:

Serializable, Cloneable, ContinuousCurve2D, Curve2D, SmoothCurve2D, ContinuousOrientedCurve2D, OrientedCurve2D, SmoothOrientedCurve2D, Shape2D

Direct Known Subclasses:

CircleArc2D
```
public class EllipseArc2D
extends AbstractSmoothCurve2D
implements SmoothOrientedCurve2D, Cloneable
```
An arc of ellipse. It is defined by a supporting ellipse, a starting angle, and a signed angle extent, both in radians. The ellipse arc is oriented counter-clockwise if angle extent is positive, and clockwise otherwise.

Author:

dlegland

See Also:
Serialized Form

Field Summary

Fields
Modifier and Type	Field and Description
`protected double`	`angleExtent` The signed angle extent, in radians between -2PI and +2PI.
`protected Ellipse2D`	`ellipse` The supporting ellipse
`protected double`	`startAngle` The starting position on ellipse, in radians between 0 and +2PI

Fields inherited from interface math.geom2d.Shape2D
ACCURACY

Constructor Summary

Constructors
Constructor and Description
`EllipseArc2D()` Construct a default Ellipse arc, centered on (0,0), with radii equal to 1 and 1, orientation equal to 0, start angle equal to 0, and angle extent equal to PI/2.
`EllipseArc2D(double xc, double yc, double a, double b, double theta, double start, double extent)` Specify parameters of supporting ellipse, start angle, and angle extent.
`EllipseArc2D(double xc, double yc, double a, double b, double theta, double start, double end, boolean direct)` Specify parameters of supporting ellipse, bounding angles and flag for direct ellipse.
`EllipseArc2D(Ellipse2D ell, double start, double extent)` Specify supporting ellipse, start angle and angle extent.
`EllipseArc2D(Ellipse2D ell, double start, double end, boolean direct)` Specify supporting ellipse, start angle and end angle, and a flag indicating whether the arc is directed or not.

Method Summary

Methods
Modifier and Type	Method and Description
`GeneralPath`	`appendPath(GeneralPath path)` Append the path of the curve to the given path.
`CurveSet2D<? extends EllipseArc2D>`	`clip(Box2D box)` Clip the ellipse arc by a box.
`EllipseArc2D`	`clone()` Overrides Object declaration to ensure Curve2D implementation are cloned as Curve2D.
`boolean`	`contains(double x, double y)` Checks if the shape contains the planar point defined by (x,y).
`boolean`	`contains(Point2D point)` Checks if the shape contains the given point.
`boolean`	`containsAngle(double angle)`
`static EllipseArc2D`	`create(Ellipse2D ell, double start, double extent)` Specify supporting ellipse, start angle and end angle, and a flag indicating whether the arc is directed or not.
`static EllipseArc2D`	`create(Ellipse2D ell, double start, double end, boolean direct)` Specify supporting ellipse, start angle and end angle, and a flag indicating whether the arc is directed or not.
`void`	`draw(Graphics2D g2)` Draws the curve on the given Graphics2D object.
`boolean`	`equals(Object obj)`
`double`	`getAngle(double position)` Returns the angle associated with the given position
`double`	`getAngleExtent()`
`Box2D`	`getBoundingBox()` Returns the bounding box of the shape.
`Collection<? extends EllipseArc2D>`	`getContinuousCurves()` Returns the collection of continuous curves which constitute this curve.
`double`	`getCurvature(double t)` returns the curvature of the ellipse arc.
`double`	`getDistance(double x, double y)` get the distance of the shape to the given point, specified by x and y, or the distance of point to the frontier of the shape in the case of a plain (i.e.
`double`	`getDistance(Point2D point)` get the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
`GeneralPath`	`getGeneralPath()`
`Collection<Point2D>`	`getIntersections(LinearShape2D line)` Returns the intersection points of the curve with the specified line.
`Point2D`	`getPoint(double t)` Gets the point from a parametric representation of the curve.
`double`	`getPosition(Point2D point)` Get position of the point on the curve.
`EllipseArc2D`	`getReverseCurve()` Returns the ellipse arc which refers to the reversed parent ellipse, with same start angle, and with opposite angle extent.
`double`	`getSignedDistance(double x, double y)` The same as getSignedDistance(Point2D), but by passing 2 double as arguments.
`double`	`getSignedDistance(Point2D p)` Get the signed distance of the curve to the given point: this distance is positive if the point lies outside the shape, and is negative if the point lies inside the shape.
`double`	`getStartAngle()`
`EllipseArc2D`	`getSubCurve(double t0, double t1)` Returns a new EllipseArc2D.
`Ellipse2D`	`getSupportingEllipse()`
`double`	`getT0()` Always returns 0
`double`	`getT1()` Always returns the absolute value of the angle extent
`Vector2D`	`getTangent(double t)`
`double`	`getWindingAngle(Point2D point)` Return the angle portion that the curve turn around the given point.
`boolean`	`isBounded()` Always return true: an ellipse arc is bounded by definition
`boolean`	`isClosed()` Returns false, as an ellipse arc is never closed.
`boolean`	`isDirect()` Returns true if the ellipse arc is direct, i.e.
`boolean`	`isEmpty()` Returns true if the shape does not contain any point.
`boolean`	`isInside(Point2D p)` Returns true if the point is 'inside' the domain bounded by the curve.
`double`	`project(Point2D point)` Returns the position of the closest orthogonal projection of the point on the curve, or of the closest singular point.
`String`	`toString()`
`EllipseArc2D`	`transform(AffineTransform2D trans)` Transforms the curve by an affine transform.

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D
getLeftTangent, getRightTangent, getSingularPoints, getSmoothPieces, isSingular

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D
getAsAWTShape, getAsPolyline, getFirstPoint, getLastPoint, wrapCurve

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

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D
getAsPolyline, getLeftTangent, getRightTangent, getSmoothPieces

Methods inherited from interface math.geom2d.curve.Curve2D
getAsAWTShape, getFirstPoint, getLastPoint, getSingularPoints, isSingular

- Field Detail
  - ellipse
```
protected Ellipse2D ellipse
```
    The supporting ellipse
  - startAngle
```
protected double startAngle
```
    The starting position on ellipse, in radians between 0 and +2PI
  - angleExtent
```
protected double angleExtent
```
    The signed angle extent, in radians between -2PI and +2PI.
- Constructor Detail
  - EllipseArc2D
```
public EllipseArc2D()
```
    Construct a default Ellipse arc, centered on (0,0), with radii equal to 1 and 1, orientation equal to 0, start angle equal to 0, and angle extent equal to PI/2.
  - EllipseArc2D
```
public EllipseArc2D(Ellipse2D ell,
            double start,
            double extent)
```
    Specify supporting ellipse, start angle and angle extent.
    
    Parameters:
    ell - the supporting ellipse
    start - the starting angle (angle between 0 and 2*PI)
    extent - the angle extent (signed angle)
  - EllipseArc2D
```
public EllipseArc2D(Ellipse2D ell,
            double start,
            double end,
            boolean direct)
```
    Specify supporting ellipse, start angle and end angle, and a flag indicating whether the arc is directed or not.
    
    Parameters:
    ell - the supporting ellipse
    start - the starting angle
    end - the ending angle
    direct - flag indicating if the arc is direct
  - EllipseArc2D
```
public EllipseArc2D(double xc,
            double yc,
            double a,
            double b,
            double theta,
            double start,
            double extent)
```
    Specify parameters of supporting ellipse, start angle, and angle extent.
  - EllipseArc2D
```
public EllipseArc2D(double xc,
            double yc,
            double a,
            double b,
            double theta,
            double start,
            double end,
            boolean direct)
```
    Specify parameters of supporting ellipse, bounding angles and flag for direct ellipse.
- Method Detail
  - create
```
public static EllipseArc2D create(Ellipse2D ell,
                  double start,
                  double extent)
```
    Specify supporting ellipse, start angle and end angle, and a flag indicating whether the arc is directed or not.
    
    Parameters:
    ell - the supporting ellipse
    start - the starting angle
    end - the ending angle
    direct - flag indicating if the arc is direct
  - create
```
public static EllipseArc2D create(Ellipse2D ell,
                  double start,
                  double end,
                  boolean direct)
```
    Specify supporting ellipse, start angle and end angle, and a flag indicating whether the arc is directed or not.
    
    Parameters:
    ell - the supporting ellipse
    start - the starting angle
    end - the ending angle
    direct - flag indicating if the arc is direct
  - getSupportingEllipse
```
public Ellipse2D getSupportingEllipse()
```
  - getStartAngle
```
public double getStartAngle()
```
  - getAngleExtent
```
public double getAngleExtent()
```
  - isDirect
```
public boolean isDirect()
```
    Returns true if the ellipse arc is direct, i.e. if the angle extent is positive.
  - containsAngle
```
public boolean containsAngle(double angle)
```
  - getAngle
```
public double getAngle(double position)
```
    Returns the angle associated with the given position
  - getWindingAngle
```
public double getWindingAngle(Point2D point)
```
    Description copied from interface: OrientedCurve2D
    
    Return the angle portion that the curve turn around the given point. Result is a signed angle.
    
    Specified by:
    
    getWindingAngle in interface OrientedCurve2D
    
    Parameters:
    point - a point of the plane
    
    Returns:
    a signed angle
  - isInside
```
public boolean isInside(Point2D p)
```
    Description copied from interface: OrientedCurve2D
    
    Returns true if the point is 'inside' the domain bounded by the curve.
    
    Specified by:
    
    isInside in interface OrientedCurve2D
    
    Parameters:
    p - a point in the plane
    
    Returns:
    true if the point is on the left side of the curve.
  - getSignedDistance
```
public double getSignedDistance(Point2D p)
```
    Description copied from interface: OrientedCurve2D
    
    Get the signed distance of the curve to the given point: this distance is positive if the point lies outside the shape, and is negative if the point lies inside the shape. In this case, absolute value of distance is equals to the distance to the border of the shape.
    
    Specified by:
    
    getSignedDistance in interface OrientedCurve2D
    
    Parameters:
    p - a point of the plane
    
    Returns:
    the signed distance to the curve
  - getSignedDistance
```
public double getSignedDistance(double x,
                       double y)
```
    Description copied from interface: OrientedCurve2D
    
    The same as getSignedDistance(Point2D), but by passing 2 double as arguments.
    
    Specified by:
    
    getSignedDistance in interface OrientedCurve2D
    
    Parameters:
    x - x-coord of a point
    y - y-coord of a point
    
    Returns:
    the signed distance of the point (x,y) to the curve
  - getTangent
```
public Vector2D getTangent(double t)
```
    Specified by:
    
    getTangent in interface SmoothCurve2D
  - getCurvature
```
public double getCurvature(double t)
```
    returns the curvature of the ellipse arc.
    
    Specified by:
    
    getCurvature in interface SmoothCurve2D
  - isClosed
```
public boolean isClosed()
```
    Returns false, as an ellipse arc is never closed.
    
    Specified by:
    
    isClosed in interface ContinuousCurve2D
  - getT0
```
public double getT0()
```
    Always returns 0
    
    Specified by:
    
    getT0 in interface Curve2D
  - getT1
```
public double getT1()
```
    Always returns the absolute value of the angle extent
    
    Specified by:
    
    getT1 in interface Curve2D
  - getPoint
```
public Point2D getPoint(double t)
```
    Description copied from interface: Curve2D
    
    Gets the point from a parametric representation of the curve. If the parameter lies outside the definition range, the parameter corresponding to the closest bound is used instead. This method can be used to draw an approximated outline of a curve, by selecting multiple values for t and drawing lines between them.
    
    Specified by:
    
    getPoint in interface Curve2D
  - getPosition
```
public double getPosition(Point2D point)
```
    Description copied from interface: Curve2D
    
    Get position of the point on the curve. If the point does not belong to the curve, return Double.NaN.
    
    Specified by:
    
    getPosition in interface Curve2D
    
    Parameters:
    point - a point belonging to the curve
    
    Returns:
    the position of the point on the curve
  - project
```
public double project(Point2D point)
```
    Description copied from interface: Curve2D
    
    Returns the position of the closest orthogonal projection of the point on the curve, or of the closest singular point. This function should always returns a valid value.
    
    Specified by:
    
    project in interface Curve2D
    
    Parameters:
    point - a point to project
    
    Returns:
    the position of the closest orthogonal projection
  - getIntersections
```
public Collection<Point2D> getIntersections(LinearShape2D line)
```
    Description copied from interface: Curve2D
    
    Returns the intersection points of the curve with the specified line. The length of the result array is the number of intersection points.
    
    Specified by:
    
    getIntersections in interface Curve2D
  - getReverseCurve
```
public EllipseArc2D getReverseCurve()
```
    Returns the ellipse arc which refers to the reversed parent ellipse, with same start angle, and with opposite angle extent.
    
    Specified by:
    
    getReverseCurve in interface ContinuousCurve2D
    
    Specified by:
    
    getReverseCurve in interface Curve2D
    
    Specified by:
    
    getReverseCurve in interface SmoothCurve2D
    
    Specified by:
    
    getReverseCurve in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    getReverseCurve in interface OrientedCurve2D
    
    Specified by:
    
    getReverseCurve in interface SmoothOrientedCurve2D
  - getContinuousCurves
```
public Collection<? extends EllipseArc2D> getContinuousCurves()
```
    Description copied from interface: Curve2D
    
    Returns the collection of continuous curves which constitute this curve.
    
    Specified by:
    
    getContinuousCurves in interface Curve2D
    
    Overrides:
    
    getContinuousCurves in class AbstractContinuousCurve2D
    
    Returns:
    a collection of continuous curves.
  - getSubCurve
```
public EllipseArc2D getSubCurve(double t0,
                       double t1)
```
    Returns a new EllipseArc2D.
    
    Specified by:
    
    getSubCurve in interface ContinuousCurve2D
    
    Specified by:
    
    getSubCurve in interface Curve2D
    
    Specified by:
    
    getSubCurve in interface SmoothCurve2D
    
    Specified by:
    
    getSubCurve in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    getSubCurve in interface SmoothOrientedCurve2D
    
    Parameters:
    t0 - position of the start of the sub-curve
    t1 - position of the end of the sub-curve
    
    Returns:
    the portion of original curve comprised between t0 and t1.
  - getDistance
```
public double getDistance(Point2D point)
```
    Description copied from interface: Shape2D
    
    get the distance of the shape to the given point, or the distance of point to the frontier of the shape in the case of a plain shape.
    
    Specified by:
    
    getDistance in interface Shape2D
  - getDistance
```
public double getDistance(double x,
                 double y)
```
    Description copied from interface: Shape2D
    
    get the distance of the shape to the given point, specified by x and y, or the distance of point to the frontier of the shape in the case of a plain (i.e. fillable) shape.
    
    Specified by:
    
    getDistance in interface Shape2D
  - isBounded
```
public boolean isBounded()
```
    Always return true: an ellipse arc is bounded by definition
    
    Specified by:
    
    isBounded in interface Shape2D
  - isEmpty
```
public boolean isEmpty()
```
    Description copied from interface: Shape2D
    
    Returns true if the shape does not contain any point. This is the case for example for PointSet2D without any point.
    
    Specified by:
    
    isEmpty in interface Shape2D
    
    Returns:
    true if the shape does not contain any point.
  - clip
```
public CurveSet2D<? extends EllipseArc2D> clip(Box2D box)
```
    Clip the ellipse arc by a box. The result is an instance of CurveSet2D, which contains only instances of EllipseArc2D. If the ellipse arc is not clipped, the result is an instance of CurveSet2D which contains 0 curves.
    
    Specified by:
    
    clip in interface ContinuousCurve2D
    
    Specified by:
    
    clip in interface Curve2D
    
    Specified by:
    
    clip in interface SmoothCurve2D
    
    Specified by:
    
    clip in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    clip in interface OrientedCurve2D
    
    Specified by:
    
    clip in interface SmoothOrientedCurve2D
    
    Specified by:
    
    clip in interface Shape2D
    
    Parameters:
    box - the clipping box
    
    Returns:
    the clipped shape
  - getBoundingBox
```
public Box2D getBoundingBox()
```
    Description copied from interface: Shape2D
    
    Returns the bounding box of the shape.
    
    Specified by:
    
    getBoundingBox in interface Shape2D
    
    Returns:
    the bounding box of the shape.
  - transform
```
public EllipseArc2D transform(AffineTransform2D trans)
```
    Description copied from interface: Curve2D
    
    Transforms the curve by an affine transform. The result is an instance of Curve2D.
    
    Specified by:
    
    transform in interface ContinuousCurve2D
    
    Specified by:
    
    transform in interface Curve2D
    
    Specified by:
    
    transform in interface SmoothCurve2D
    
    Specified by:
    
    transform in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    transform in interface OrientedCurve2D
    
    Specified by:
    
    transform in interface SmoothOrientedCurve2D
    
    Specified by:
    
    transform in interface Shape2D
    
    Parameters:
    trans - an affine transform
    
    Returns:
    the transformed shape
  - contains
```
public boolean contains(double x,
               double y)
```
    Description copied from interface: Shape2D
    
    Checks if the shape contains the planar point defined by (x,y).
    
    Specified by:
    
    contains in interface Shape2D
  - contains
```
public boolean contains(Point2D point)
```
    Description copied from interface: Shape2D
    
    Checks if the shape contains the given point.
    
    Specified by:
    
    contains in interface Shape2D
  - appendPath
```
public GeneralPath appendPath(GeneralPath path)
```
    Description copied from interface: ContinuousCurve2D
    
    Append the path of the curve to the given path.
    
    Specified by:
    
    appendPath in interface ContinuousCurve2D
    
    Parameters:
    path - a path to modify
    
    Returns:
    the modified path
  - getGeneralPath
```
public GeneralPath getGeneralPath()
```
  - draw
```
public void draw(Graphics2D g2)
```
    Description copied from interface: Curve2D
    
    Draws the curve on the given Graphics2D object.
    
    Specified by:
    
    draw in interface Curve2D
    
    Specified by:
    
    draw in interface Shape2D
    
    Overrides:
    
    draw in class AbstractContinuousCurve2D
    
    Parameters:
    g2 - the graphics to draw the curve
  - toString
```
public String toString()
```
    Overrides:
    
    toString in class Object
  - equals
```
public boolean equals(Object obj)
```
    Overrides:
    
    equals in class Object
  - clone
```
public EllipseArc2D clone()
```
    Description copied from interface: Curve2D
    
    Overrides Object declaration to ensure Curve2D implementation are cloned as Curve2D.
    
    Specified by:
    
    clone in interface Curve2D
    
    Specified by:
    
    clone in class AbstractSmoothCurve2D
    
    Returns:
    the cloned curve

Class EllipseArc2D

Field Summary

Fields inherited from interface math.geom2d.Shape2D

Constructor Summary

Method Summary

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D

Methods inherited from class java.lang.Object

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D

Methods inherited from interface math.geom2d.curve.Curve2D

Field Detail

ellipse

startAngle

angleExtent

Constructor Detail

EllipseArc2D

EllipseArc2D

EllipseArc2D

EllipseArc2D

EllipseArc2D

Method Detail

create

create

getSupportingEllipse

getStartAngle

getAngleExtent

isDirect

containsAngle

getAngle

getWindingAngle

isInside

getSignedDistance

getSignedDistance

getTangent

getCurvature

isClosed

getT0

getT1

getPoint

getPosition

project

getIntersections

getReverseCurve

getContinuousCurves

getSubCurve

getDistance

getDistance

isBounded

isEmpty

clip

getBoundingBox

transform

contains

contains

appendPath

getGeneralPath

draw

toString

equals

clone