math.geom2d.conic
Class EllipseArc2D

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

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

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

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