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java.lang.Object math.geom2d.curve.AbstractContinuousCurve2D math.geom2d.curve.AbstractSmoothCurve2D math.geom2d.conic.ParabolaArc2D
public class ParabolaArc2D
An arc of parabola, defined by a parent parabola, and two limits for the parametrization.
Field Summary 

Fields inherited from interface math.geom2d.Shape2D 

ACCURACY 
Constructor Summary  

ParabolaArc2D(Parabola2D parabola,
double t0,
double t1)

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. 
CurveSet2D<? extends ParabolaArc2D> 
clip(Box2D box)
Clip the parabola arc by a box. 
ParabolaArc2D 
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. 
static ParabolaArc2D 
create(Parabola2D parabola,
double t0,
double t1)

double 
curvature(double t)
Returns the curvature of the parabola 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. 
boolean 
equals(java.lang.Object obj)

java.awt.geom.GeneralPath 
getGeneralPath()

Parabola2D 
getParabola()

double 
getT0()
Deprecated. replaced by t0() (since 0.11.1). 
double 
getT1()
Deprecated. replaced by t1() (since 0.11.1). 
java.util.Collection<Point2D> 
intersections(LinearShape2D line)
Returns the intersection points of the curve with the specified line. 
boolean 
isBounded()
Returns true if the arc is bounded, i.e. if both limits are finite. 
boolean 
isClosed()
Returns false, by definition of a parabola arc 
boolean 
isEmpty()
Return true if t1 
boolean 
isInside(Point2D point)
Returns true if the point is 'inside' the domain bounded by the curve. 
Point2D 
point(double t)
Returns the point located at the given position on the curve. 
double 
position(Point2D point)
Computes the position of the point on 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. 
ParabolaArc2D 
reverse()
Returns the parabola arc which refers to the reversed parent parabola, and with inverted parameterization bounds. 
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. 
ParabolaArc2D 
subCurve(double t0,
double t1)
Returns a portion of the original curve, delimited by two positions on the curve. 
double 
t0()
Returns the position of the first point of the parabola arc. 
double 
t1()
Returns the position of the last point of the parabola arc. 
Vector2D 
tangent(double t)
Returns the tangent of the curve at the given position. 
java.lang.String 
toString()

ParabolaArc2D 
transform(AffineTransform2D trans)
Transforms the curve by an affine transform. 
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, smoothPieces, vertices 
Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D 

asAwtShape, continuousCurves, draw, 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, smoothPieces 
Methods inherited from interface math.geom2d.curve.Curve2D 

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

public ParabolaArc2D(Parabola2D parabola, double t0, double t1)
Method Detail 

public static ParabolaArc2D create(Parabola2D parabola, double t0, double t1)
public Parabola2D getParabola()
public double windingAngle(Point2D point)
OrientedCurve2D
windingAngle
in interface OrientedCurve2D
point
 a point of 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 boolean isInside(Point2D point)
OrientedCurve2D
isInside
in interface OrientedCurve2D
point
 a point in the plane
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 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)
Curve2D
point
in interface Curve2D
public double position(Point2D point)
Curve2D
point(double)
method.
position
in interface Curve2D
point
 a point belonging to the curve
Curve2D.point(double)
public double project(Point2D point)
Curve2D
project
in interface Curve2D
point
 a point to project
public java.util.Collection<Point2D> intersections(LinearShape2D line)
Curve2D
intersections
in interface Curve2D
public ParabolaArc2D reverse()
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 ParabolaArc2D subCurve(double t0, double t1)
Curve2D
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 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 boolean isEmpty()
isEmpty
in interface Shape2D
public CurveSet2D<? extends ParabolaArc2D> clip(Box2D box)
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 Box2D boundingBox()
Shape2D
boundingBox
in interface Shape2D
public ParabolaArc2D transform(AffineTransform2D trans)
Curve2D
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(double x, double y)
Shape2D
contains
in interface Shape2D
public boolean contains(Point2D point)
Shape2D
contains
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 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 ParabolaArc2D clone()
Curve2D
clone
in interface Curve2D
clone
in class AbstractSmoothCurve2D


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