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java.lang.Object math.geom2d.curve.AbstractContinuousCurve2D math.geom2d.curve.AbstractSmoothCurve2D math.geom2d.conic.CircleArc2D
public class CircleArc2D
A circle arc, defined by the center and the radius of the containing circle, by a starting angle, and by a (signed) angle extent.
A circle arc is directed: if angle extent is positive, the arc is counter clockwise. Otherwise, it is clockwise.
A circle arc is parameterized using angle from center. The arc contains all points with a parametric equation of t, for each t between 0 and the angle extent.
Field Summary 

Fields inherited from interface math.geom2d.Shape2D 

ACCURACY 
Constructor Summary  

CircleArc2D()
Create a circle arc whose support circle is centered on (0,0) and has a radius equal to 1. 

CircleArc2D(Circle2D circle,
double startAngle,
double angleExtent)
create a new circle arc based on an already existing circle. 

CircleArc2D(Circle2D circle,
double startAngle,
double endAngle,
boolean direct)
create a new circle arc based on an already existing circle, specifying if arc is direct or not. 

CircleArc2D(double xc,
double yc,
double r,
double start,
double extent)
Base constructor with all parameters specified 

CircleArc2D(double xc,
double yc,
double r,
double startAngle,
double endAngle,
boolean direct)
Base constructor, for constructing arc from circle parameters, start and end angles, and by specifying whether arc is direct or not. 

CircleArc2D(Point2D center,
double radius,
double startAngle,
double angleExtent)
Create a new circle arc with specified point center and radius 

CircleArc2D(Point2D center,
double radius,
double start,
double end,
boolean direct)
Create a new circle arc with specified point center and radius, start and end angles, and by specifying whether arc is direct or not. 
Method Summary  

boolean 
almostEquals(GeometricObject2D obj,
double eps)
Checks if the two objects are similar up to a given threshold value. 
java.awt.geom.GeneralPath 
appendPath(java.awt.geom.GeneralPath path)
Append the path of the curve to the given path. 
Polyline2D 
asPolyline(int n)
Converts this continuous curve to an instance of LinearCurve2D with the given number of edges. 
Box2D 
boundingBox()
Returns the bounding box of the shape. 
CirculinearDomain2D 
buffer(double dist)
Computes the buffer of the shape, formed by the set of points located at a distance from the shape that is lower or equal to d. 
CurveSet2D<CircleArc2D> 
clip(Box2D box)
Clips the circle arc by a box. 
CircleArc2D 
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 p)
Checks if the shape contains the given point. 
boolean 
containsAngle(double angle)

java.util.Collection<? extends CircleArc2D> 
continuousCurves()
Returns a collection of curves containing only this circle arc. 
static CircleArc2D 
create(Circle2D support,
double startAngle,
double angleExtent)
Deprecated. since 0.11.1 
static CircleArc2D 
create(Circle2D support,
double startAngle,
double endAngle,
boolean direct)
Deprecated. since 0.11.1 
static CircleArc2D 
create(Point2D center,
double radius,
double startAngle,
double angleExtent)
Deprecated. since 0.11.1 
static CircleArc2D 
create(Point2D center,
double radius,
double startAngle,
double endAngle,
boolean direct)
Deprecated. since 0.11.1 
double 
curvature(double t)
Returns curvature of the circle arc. 
double 
distance(double x,
double y)
Returns 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. 
double 
distance(Point2D p)
Returns 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. 
void 
draw(java.awt.Graphics2D g2)
Draws the curve on the given Graphics2D object. 
boolean 
equals(java.lang.Object obj)
Two circle arc are equal if the have same center, same radius, same starting and ending angles, and same orientation. 
double 
getAngle(double position)
Returns the angle associated with the given position 
double 
getAngleExtent()

java.awt.geom.GeneralPath 
getGeneralPath()

double 
getStartAngle()

double 
getT0()
Deprecated. replaced by t0() 
double 
getT1()
Deprecated. replaced by t1() 
java.util.Collection<Point2D> 
intersections(LinearShape2D line)
Computes intersections of the circle arc with a line. 
boolean 
isBounded()
Returns true, as a circle arc is bounded by definition. 
boolean 
isClosed()
Returns false, as a circle arc is never closed by definition. 
boolean 
isDirect()
Returns true if the circle arc is direct, i.e. if the angle extent is positive. 
boolean 
isEmpty()
Returns false. 
boolean 
isInside(Point2D point)
Returns true if the point is 'inside' the domain bounded by the curve. 
double 
length()

double 
length(double pos)

CircleArc2D 
parallel(double dist)
Returns the circle arc parallel to this circle arc, at the distance dist. 
Point2D 
point(double t)
Returns the position of a point form the curvilinear position. 
double 
position(double length)

double 
position(Point2D point)
Returns relative position between 0 and the angle extent. 
double 
project(Point2D point)
Returns the position of the closest orthogonal projection of the point on the curve, or of the closest singular point. 
CircleArc2D 
reverse()
Returns the circle arc which refers to the same parent circle, but with exchanged extremities. 
double 
signedDistance(double x,
double y)
The same as distanceSigned(Point2D), but by passing 2 double as arguments. 
double 
signedDistance(Point2D p)
Returns the signed distance of the curve to the given point. 
java.util.Collection<? extends CircleArc2D> 
smoothPieces()
Returns a collection of curves containing only this circle arc. 
CircleArc2D 
subCurve(double t0,
double t1)
Returns a new CircleArc2D. 
Circle2D 
supportingCircle()
Returns the circle that contains the circle arc. 
double 
t0()
Returns 0. 
double 
t1()
Returns the last position of the circle are, which is given by the absolute angle of angle extent of this arc. 
Vector2D 
tangent(double t)
Returns the tangent of the curve at the given position. 
java.lang.String 
toString()

EllipseArcShape2D 
transform(AffineTransform2D trans)
Returns an instance of EllipseArc2D, or CircleArc2D if transform is a similarity. 
CirculinearElement2D 
transform(CircleInversion2D inv)
Transforms the shape by a circle inversion. 
double 
windingAngle(Point2D point)
Return the angle portion that the curve turn around the given point. 
Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D 

isSingular, leftTangent, normal, rightTangent, singularPoints, vertices 
Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D 

asAwtShape, firstPoint, lastPoint 
Methods inherited from class java.lang.Object 

getClass, hashCode, notify, notifyAll, wait, wait, wait 
Methods inherited from interface math.geom2d.curve.SmoothCurve2D 

normal 
Methods inherited from interface math.geom2d.curve.ContinuousCurve2D 

leftTangent, rightTangent 
Methods inherited from interface math.geom2d.curve.Curve2D 

asAwtShape, firstPoint, isSingular, lastPoint, singularPoints, vertices 
Constructor Detail 

public CircleArc2D()
public CircleArc2D(Circle2D circle, double startAngle, double angleExtent)
public CircleArc2D(Circle2D circle, double startAngle, double endAngle, boolean direct)
public CircleArc2D(Point2D center, double radius, double startAngle, double angleExtent)
public CircleArc2D(Point2D center, double radius, double start, double end, boolean direct)
public CircleArc2D(double xc, double yc, double r, double startAngle, double endAngle, boolean direct)
public CircleArc2D(double xc, double yc, double r, double start, double extent)
Method Detail 

@Deprecated public static CircleArc2D create(Circle2D support, double startAngle, double angleExtent)
@Deprecated public static CircleArc2D create(Circle2D support, double startAngle, double endAngle, boolean direct)
@Deprecated public static CircleArc2D create(Point2D center, double radius, double startAngle, double angleExtent)
@Deprecated public static CircleArc2D create(Point2D center, double radius, double startAngle, double endAngle, boolean direct)
public boolean isDirect()
public double getStartAngle()
public double getAngleExtent()
public boolean containsAngle(double angle)
public double getAngle(double position)
public Circle2D supportingCircle()
supportingCircle
in interface CircularShape2D
public CirculinearDomain2D buffer(double dist)
CirculinearShape2D
buffer
in interface CirculinearShape2D
dist
 the maximal distance between a point of the buffer and the
shape
public CircleArc2D parallel(double dist)
parallel
in interface CirculinearContinuousCurve2D
parallel
in interface CirculinearCurve2D
parallel
in interface CirculinearElement2D
dist
 the distance between the original curve and he parallel curve.
public double length()
length
in interface CirculinearCurve2D
public double length(double pos)
length
in interface CirculinearCurve2D
public double position(double length)
position
in interface CirculinearCurve2D
public CirculinearElement2D transform(CircleInversion2D inv)
CirculinearShape2D
transform
in interface CirculinearContinuousCurve2D
transform
in interface CirculinearCurve2D
transform
in interface CirculinearElement2D
transform
in interface CirculinearShape2D
inv
 the circle inversion
public double windingAngle(Point2D point)
OrientedCurve2D
windingAngle
in interface OrientedCurve2D
point
 a point of the plane
public boolean isInside(Point2D point)
OrientedCurve2D
isInside
in interface OrientedCurve2D
point
 a point in the plane
public double signedDistance(Point2D p)
OrientedCurve2D
signedDistance
in interface OrientedCurve2D
p
 a point of the plane
public double signedDistance(double x, double y)
OrientedCurve2D
signedDistance
in interface OrientedCurve2D
x
 xcoord of a pointy
 ycoord of a point
public Vector2D tangent(double t)
SmoothCurve2D
tangent
in interface SmoothCurve2D
t
 a position on the curve
SmoothCurve2D.normal(double)
public double curvature(double t)
curvature
in interface ContinuousCurve2D
t
 the position on the curve
public java.util.Collection<? extends CircleArc2D> smoothPieces()
smoothPieces
in interface CirculinearContinuousCurve2D
smoothPieces
in interface ContinuousCurve2D
smoothPieces
in class AbstractSmoothCurve2D
public boolean isClosed()
isClosed
in interface ContinuousCurve2D
public Polyline2D asPolyline(int n)
AbstractContinuousCurve2D
asPolyline
in interface ContinuousCurve2D
asPolyline
in class AbstractContinuousCurve2D
n
 the number of line segments
n
line segments.ContinuousCurve2D.asPolyline(int)
public double t0()
t0
in interface Curve2D
@Deprecated public double getT0()
getT0
in interface Curve2D
public double t1()
t1
in interface Curve2D
@Deprecated public double getT1()
getT1
in interface Curve2D
public Point2D point(double t)
point
in interface Curve2D
public double position(Point2D point)
position
in interface Curve2D
point
 a point belonging to the curve
Curve2D.point(double)
public java.util.Collection<Point2D> intersections(LinearShape2D line)
intersections
in interface Curve2D
public double project(Point2D point)
Curve2D
project
in interface Curve2D
point
 a point to project
public CircleArc2D subCurve(double t0, double t1)
subCurve
in interface CirculinearContinuousCurve2D
subCurve
in interface CirculinearCurve2D
subCurve
in interface CirculinearElement2D
subCurve
in interface CircularShape2D
subCurve
in interface EllipseArcShape2D
subCurve
in interface ContinuousCurve2D
subCurve
in interface Curve2D
subCurve
in interface SmoothCurve2D
subCurve
in interface ContinuousOrientedCurve2D
subCurve
in interface SmoothOrientedCurve2D
t0
 position of the start of the subcurvet1
 position of the end of the subcurve
public CircleArc2D reverse()
reverse
in interface CirculinearContinuousCurve2D
reverse
in interface CirculinearCurve2D
reverse
in interface CirculinearElement2D
reverse
in interface CircularShape2D
reverse
in interface EllipseArcShape2D
reverse
in interface ContinuousCurve2D
reverse
in interface Curve2D
reverse
in interface SmoothCurve2D
reverse
in interface ContinuousOrientedCurve2D
reverse
in interface OrientedCurve2D
reverse
in interface SmoothOrientedCurve2D
public java.util.Collection<? extends CircleArc2D> continuousCurves()
continuousCurves
in interface CirculinearCurve2D
continuousCurves
in interface Curve2D
continuousCurves
in class AbstractContinuousCurve2D
public double distance(Point2D p)
Shape2D
distance
in interface Shape2D
public double distance(double x, double y)
Shape2D
distance
in interface Shape2D
public boolean isBounded()
isBounded
in interface Shape2D
public CurveSet2D<CircleArc2D> clip(Box2D box)
clip
in interface CirculinearContinuousCurve2D
clip
in interface CirculinearCurve2D
clip
in interface CirculinearElement2D
clip
in interface CircularShape2D
clip
in interface ContinuousCurve2D
clip
in interface Curve2D
clip
in interface SmoothCurve2D
clip
in interface ContinuousOrientedCurve2D
clip
in interface OrientedCurve2D
clip
in interface SmoothOrientedCurve2D
clip
in interface Shape2D
box
 the clipping box
public EllipseArcShape2D transform(AffineTransform2D trans)
transform
in interface EllipseArcShape2D
transform
in interface ContinuousCurve2D
transform
in interface Curve2D
transform
in interface SmoothCurve2D
transform
in interface ContinuousOrientedCurve2D
transform
in interface OrientedCurve2D
transform
in interface SmoothOrientedCurve2D
transform
in interface Shape2D
trans
 an affine transform
public boolean contains(Point2D p)
Shape2D
contains
in interface Shape2D
public boolean contains(double x, double y)
Shape2D
contains
in interface Shape2D
public boolean isEmpty()
isEmpty
in interface Shape2D
public Box2D boundingBox()
Shape2D
boundingBox
in interface Shape2D
public java.awt.geom.GeneralPath appendPath(java.awt.geom.GeneralPath path)
ContinuousCurve2D
appendPath
in interface ContinuousCurve2D
path
 a path to modify
public java.awt.geom.GeneralPath getGeneralPath()
public void draw(java.awt.Graphics2D g2)
Curve2D
draw
in interface Curve2D
draw
in interface Shape2D
draw
in class AbstractContinuousCurve2D
g2
 the graphics to draw the curve inpublic boolean almostEquals(GeometricObject2D obj, double eps)
GeometricObject2D
almostEquals
in interface GeometricObject2D
obj
 the object to compareeps
 a threshold value, for example the minimal coordinate difference
public java.lang.String toString()
toString
in class java.lang.Object
public boolean equals(java.lang.Object obj)
equals
in class java.lang.Object
public CircleArc2D clone()
Curve2D
clone
in interface Curve2D
clone
in class AbstractSmoothCurve2D


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