math.geom2d.conic
Class ParabolaArc2D

java.lang.Object
  math.geom2d.curve.AbstractContinuousCurve2D
      math.geom2d.curve.AbstractSmoothCurve2D
          math.geom2d.conic.ParabolaArc2D

All Implemented Interfaces:

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

public class ParabolaArc2D
extends AbstractSmoothCurve2D
implements SmoothOrientedCurve2D, Cloneable

An arc of parabola, defined by a parent parabola, and two limits for the parametrization.

Author:

dlegland

See Also:

Serialized Form

Field Summary

protected Parabola2D	parabola
protected double	t0
protected double	t1

Fields inherited from interface math.geom2d.Shape2D

ACCURACY

Constructor Summary

ParabolaArc2D(Parabola2D parabola, double t0, double t1)

Method Summary

GeneralPath	appendPath(GeneralPath path) Append the path of the curve to the given path.
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.
boolean	equals(Object obj)
Box2D	getBoundingBox() Returns the bounding box of the shape.
double	getCurvature(double t) Returns the curvature of the parabola 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 p) 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.
Parabola2D	getParabola()
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.
ParabolaArc2D	getReverseCurve() Returns the parabola arc which refers to the reversed parent parabola, and with inverted parametrization bounds.
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.
ParabolaArc2D	getSubCurve(double t0, double t1) Returns a portion of the original curve, delimited by two positions on the curve.
double	getT0() Returns the position of the first point of the parabola arc.
double	getT1() Returns the position of the last point of the parabola arc.
Vector2D	getTangent(double t)
double	getWindingAngle(Point2D point) Return the angle portion that the curve turn around the given point.
boolean	isBounded() Returns true if the arc is bounded, i.e.
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.
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()
ParabolaArc2D	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

draw, getAsAWTShape, getAsPolyline, getContinuousCurves, 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

draw, getAsAWTShape, getContinuousCurves, getFirstPoint, getLastPoint, getSingularPoints, isSingular

Field Detail

parabola

protected Parabola2D parabola

t0

protected double t0

t1

protected double t1

Constructor Detail

ParabolaArc2D

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

Method Detail

getParabola

public Parabola2D getParabola()

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

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

isInside

public boolean isInside(Point2D point)

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:

point - a point in the plane

Returns:

true if the point is on the left side of 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 parabola arc.

Specified by:

getCurvature in interface SmoothCurve2D

isClosed

public boolean isClosed()

Returns false, by definition of a parabola arc

Specified by:

isClosed in interface ContinuousCurve2D

getT0

public double getT0()

Returns the position of the first point of the parabola arc.

Specified by:

getT0 in interface Curve2D

getT1

public double getT1()

Returns the position of the last point of the parabola arc.

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 ParabolaArc2D getReverseCurve()

Returns the parabola arc which refers to the reversed parent parabola, and with inverted parametrization bounds.

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

getSubCurve

public ParabolaArc2D getSubCurve(double t0,
                                 double t1)

Description copied from interface: Curve2D

Returns a portion of the original curve, delimited by two positions on the curve.

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 p)

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()

Returns true if the arc is bounded, i.e. if both limits are finite.

Specified by:

isBounded in interface Shape2D

isEmpty

public boolean isEmpty()

Return true if t1

Specified by:

isEmpty in interface Shape2D

Returns:

true if the shape does not contain any point.

clip

public CurveSet2D<? extends ParabolaArc2D> clip(Box2D box)

Clip the parabola arc by a box. The result is an instance of CurveSet2D, which contains only instances of ParabolaArc2D. If the parabola 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 ParabolaArc2D 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()

toString

public String toString()

Overrides:

toString in class Object

equals

public boolean equals(Object obj)

Overrides:

equals in class Object

clone

public ParabolaArc2D 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