public class Parabola2D extends AbstractSmoothCurve2D implements ContinuousBoundary2D, Conic2D, Cloneable
Following parametric representation is used:
x(t)=t
y(t)=a*t^2
This is a signed parameter (negative a makes the parabola point to opposite side).
Conic2D.Type
Modifier and Type | Field and Description |
---|---|
protected double |
a
The parameter of the parabola.
|
protected double |
theta
orientation of the parabola
|
protected double |
xv
Coordinate of the vertex
|
protected double |
yv
Coordinate of the vertex
|
Constructor and Description |
---|
Parabola2D() |
Parabola2D(double xv,
double yv,
double a,
double theta) |
Parabola2D(Point2D vertex,
double a,
double theta) |
Modifier and Type | Method and Description |
---|---|
GeneralPath |
appendPath(GeneralPath path)
Throws an infiniteShapeException
|
CurveSet2D<ParabolaArc2D> |
clip(Box2D box)
Clip the parabola by a box.
|
Parabola2D |
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 Parabola2D |
create(Point2D vertex,
Point2D focus)
Creates a parabola by supplying the vertex and the focus.
|
boolean |
equals(Object obj) |
void |
fill(Graphics2D g2)
Throws an infiniteShapeException
|
double |
getAngle()
Returns orientation angle of parabola.
|
Collection<ContinuousBoundary2D> |
getBoundaryCurves()
Returns the different continuous curves composing the boundary
|
Box2D |
getBoundingBox()
Returns the bounding box of the shape.
|
double[] |
getConicCoefficients()
Returns the coefficient of the Cartesian representation of the conic.
|
Conic2D.Type |
getConicType() |
double |
getCurvature(double t)
Returns the curvature of the parabola at the given position.
|
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.
|
Domain2D |
getDomain()
Returns the domain delimited by this boundary.
|
double |
getEccentricity()
Return 1, by definition for a parabola.
|
Point2D |
getFocus()
Returns the focus of the parabola.
|
double |
getFocusDistance() |
Collection<Point2D> |
getIntersections(LinearShape2D line)
Returns the intersection points of the curve with the specified line.
|
double |
getParameter() |
Point2D |
getPoint(double t)
Gets the point from a parametric representation of the curve.
|
double |
getPosition(Point2D point)
Returns position of point on the parabola.
|
Parabola2D |
getReverseCurve()
Returns the parabola with same vertex, direction vector in opposite
direction and opposite parameter
p . |
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 new ParabolaArc2D, or null if t1 |
double |
getT0()
Returns the parameter of the first point of the line, which is always
Double.NEGATIVE_INFINITY.
|
double |
getT1()
Returns the parameter of the last point of the line, which is always
Double.POSITIVE_INFINITY.
|
Vector2D |
getTangent(double t) |
Vector2D |
getVector1()
Returns the first direction vector of the parabola
|
Vector2D |
getVector2()
Returns the second direction vector of the parabola.
|
Point2D |
getVertex() |
double |
getWindingAngle(Point2D point)
Return the angle portion that the curve turn around the given point.
|
boolean |
isBounded()
Always returns false, because a parabola is not bounded.
|
boolean |
isClosed()
Returns false, as a parabola is an open curve.
|
boolean |
isDirect()
Returns true if the parameter a is positive.
|
boolean |
isEmpty()
Returns false, as a parabola is never empty.
|
boolean |
isInside(Point2D point)
Returns true if the point is 'inside' the domain bounded by the curve.
|
double |
project(Point2D point)
Returns position of point on the parabola.
|
String |
toString() |
Parabola2D |
transform(AffineTransform2D trans)
Transforms the parabola by an affine transform.
|
getLeftTangent, getRightTangent, getSingularPoints, getSmoothPieces, isSingular
draw, getAsAWTShape, getAsPolyline, getContinuousCurves, getFirstPoint, getLastPoint, wrapCurve
finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait
getAsPolyline, getLeftTangent, getRightTangent, getSmoothPieces
draw, getAsAWTShape, getContinuousCurves, getFirstPoint, getLastPoint, getSingularPoints, isSingular
protected double xv
protected double yv
protected double theta
protected double a
public Parabola2D()
public Parabola2D(Point2D vertex, double a, double theta)
public Parabola2D(double xv, double yv, double a, double theta)
public static final Parabola2D create(Point2D vertex, Point2D focus)
vertex
- the vertex point of the parabolafocus
- the focal point of the parabolapublic Point2D getFocus()
public double getParameter()
public double getFocusDistance()
public Point2D getVertex()
public Vector2D getVector1()
public Vector2D getVector2()
public double getAngle()
public boolean isDirect()
public Conic2D.Type getConicType()
getConicType
in interface Conic2D
public double[] getConicCoefficients()
Conic2D
a*x^2 + b*x*y + c*y^2 + d*x + e*y + f
The length of the array is then of size 6.
getConicCoefficients
in interface Conic2D
public double getEccentricity()
getEccentricity
in interface Conic2D
public Collection<ContinuousBoundary2D> getBoundaryCurves()
Boundary2D
getBoundaryCurves
in interface Boundary2D
public Domain2D getDomain()
Boundary2D
getDomain
in interface Boundary2D
public double getWindingAngle(Point2D point)
OrientedCurve2D
getWindingAngle
in interface OrientedCurve2D
point
- a point of the planepublic double getSignedDistance(Point2D p)
OrientedCurve2D
getSignedDistance
in interface OrientedCurve2D
p
- a point of the planepublic double getSignedDistance(double x, double y)
OrientedCurve2D
getSignedDistance
in interface OrientedCurve2D
x
- x-coord of a pointy
- y-coord of a pointpublic boolean isInside(Point2D point)
Boundary2D
isInside
in interface Boundary2D
isInside
in interface OrientedCurve2D
point
- a point in the planepublic Vector2D getTangent(double t)
getTangent
in interface SmoothCurve2D
public double getCurvature(double t)
getCurvature
in interface SmoothCurve2D
public boolean isClosed()
isClosed
in interface ContinuousCurve2D
public double getT0()
public double getT1()
public Point2D getPoint(double t)
Curve2D
public double getPosition(Point2D point)
getPosition
in interface Curve2D
point
- a point belonging to the curvepublic double project(Point2D point)
public Collection<Point2D> getIntersections(LinearShape2D line)
Curve2D
getIntersections
in interface Curve2D
public Parabola2D getReverseCurve()
p
.getReverseCurve
in interface Conic2D
getReverseCurve
in interface ContinuousCurve2D
getReverseCurve
in interface Curve2D
getReverseCurve
in interface SmoothCurve2D
getReverseCurve
in interface Boundary2D
getReverseCurve
in interface ContinuousBoundary2D
getReverseCurve
in interface ContinuousOrientedCurve2D
getReverseCurve
in interface OrientedCurve2D
public ParabolaArc2D getSubCurve(double t0, double t1)
getSubCurve
in interface ContinuousCurve2D
getSubCurve
in interface Curve2D
getSubCurve
in interface SmoothCurve2D
getSubCurve
in interface ContinuousOrientedCurve2D
t0
- position of the start of the sub-curvet1
- position of the end of the sub-curvepublic double getDistance(Point2D p)
Shape2D
getDistance
in interface Shape2D
public double getDistance(double x, double y)
Shape2D
getDistance
in interface Shape2D
public GeneralPath appendPath(GeneralPath path)
appendPath
in interface ContinuousCurve2D
path
- a path to modifypublic void fill(Graphics2D g2)
fill
in interface Boundary2D
public boolean isBounded()
public boolean isEmpty()
public CurveSet2D<ParabolaArc2D> clip(Box2D box)
clip
in interface Conic2D
clip
in interface ContinuousCurve2D
clip
in interface Curve2D
clip
in interface SmoothCurve2D
clip
in interface ContinuousOrientedCurve2D
clip
in interface OrientedCurve2D
clip
in interface Shape2D
box
- the clipping boxpublic Box2D getBoundingBox()
Shape2D
getBoundingBox
in interface Shape2D
public Parabola2D transform(AffineTransform2D trans)
transform
in interface Conic2D
transform
in interface ContinuousCurve2D
transform
in interface Curve2D
transform
in interface SmoothCurve2D
transform
in interface Boundary2D
transform
in interface ContinuousBoundary2D
transform
in interface ContinuousOrientedCurve2D
transform
in interface OrientedCurve2D
transform
in interface Shape2D
trans
- an affine transformpublic boolean contains(double x, double y)
Shape2D
public boolean contains(Point2D point)
Shape2D
public Parabola2D clone()
Curve2D
clone
in interface Curve2D
clone
in class AbstractSmoothCurve2D
Copyright © 2012 AMIS research group, Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic. All Rights Reserved.