math.geom2d.line
Class LineArc2D

java.lang.Object
  math.geom2d.curve.AbstractContinuousCurve2D
      math.geom2d.curve.AbstractSmoothCurve2D
          math.geom2d.line.AbstractLine2D
              math.geom2d.line.LineArc2D

All Implemented Interfaces:

Serializable, Cloneable, CirculinearContinuousCurve2D, CirculinearCurve2D, CirculinearElement2D, CirculinearShape2D, ContinuousCirculinearCurve2D, ContinuousCurve2D, Curve2D, SmoothCurve2D, ContinuousOrientedCurve2D, OrientedCurve2D, SmoothOrientedCurve2D, LinearShape2D, Shape2D

public class LineArc2D
extends AbstractLine2D
implements SmoothOrientedCurve2D, Cloneable

LineArc2D is a generic class to represent edges, straight lines, and rays. It is defined like other linear shapes: origin point, and direction vector. Moreover, two internal variables t0 and t1 define the limit of the object (with t0

Author:

dlegland

See Also:

Serialized Form

Field Summary

protected double	t0
protected double	t1

Fields inherited from class math.geom2d.line.AbstractLine2D

dx, dy, x0, y0

Fields inherited from interface math.geom2d.Shape2D

ACCURACY

Constructor Summary

LineArc2D(double x1, double y1, double dx, double dy, double t0, double t1)
Construct a line arc by the parameters of the supporting line and two positions on the line.

LineArc2D(LineArc2D line)
Construction by copy of another line arc

LineArc2D(LinearShape2D line, double t0, double t1)
Construct a line arc contained in the same straight line as first argument, with bounds of arc given by t0 and t1

LineArc2D(Point2D point1, Point2D point2, double t0, double t1)

Method Summary

GeneralPath	appendPath(GeneralPath path) Appends a line to the current path.
LineArc2D	clone() Ensures public declaration of clone(), and ensures valid return type.
boolean	contains(double xp, double yp) Checks if the shape contains the planar point defined by (x,y).
boolean	contains(Point2D pt) Checks if the shape contains the given point.
LineArc2D	create(Point2D p1, Point2D p2, double t0, double t1) Static factory for creating a new LineArc2D
boolean	equals(Object obj)
Box2D	getBoundingBox() Returns the bounding box of the shape.
Collection<? extends LineArc2D>	getContinuousCurves() Returns the collection of continuous curves which constitute this curve.
Point2D	getFirstPoint() Return the first point of the edge.
GeneralPath	getGeneralPath()
Point2D	getLastPoint() Return the last point of the edge.
double	getLength() Returns the length of the line arc.
LineArc2D	getParallel(double d) Creates a new curve, formed by the points with parameterization: p(t) = c(t) + d*n(t)/|n(t)|, with p(t) being a point of the original curve, n(t) the normal of the curve, and |n| being the norm of n.
Point2D	getPoint(double t) Gets the point from a parametric representation of the curve.
Point2D	getPoint1() Return the first point of the line arc.
Point2D	getPoint2() Return the last point of the line arc.
LineArc2D	getReverseCurve() Returns the line arc which have the same trace, but has the inverse parameterization.
Collection<Point2D>	getSingularPoints() Returns an empty set of Point2D, as a smooth curve does not have singular points by definition.
LineArc2D	getSubCurve(double t0, double t1) Returns a new LineArc2D, which is the portion of this LineArc2D delimited by parameters t0 and t1.
double	getT0() Returns the parameter of the first point of the line arc, arbitrarily set to 0.
double	getT1() Returns the parameter of the last point of the line arc, arbitrarily set to 1.
double	getX1()
double	getX2()
double	getY1()
double	getY2()
boolean	isBounded() return true if both t0 and t1 are different from infinity.
boolean	isSingular(double pos) Returns always false, as a smooth curve does not have singular points by definition.
String	toString()
LineArc2D	transform(AffineTransform2D trans) Transforms the curve by an affine transform.

Methods inherited from class math.geom2d.line.AbstractLine2D

clip, getBuffer, getCartesianEquation, getCurvature, getDistance, getDistance, getHorizontalAngle, getIntersection, getIntersection, getIntersections, getLength, getOrigin, getParallel, getParametric, getPerpendicular, getPolarCoefficients, getPosition, getPosition, getPositionOnLine, getPositionOnLine, getProjectedPoint, getProjectedPoint, getSignedDistance, getSignedDistance, getSignedPolarCoefficients, getSmoothPieces, getSupportingLine, getSymmetric, getSymmetric, getTangent, getVector, getWindingAngle, isClosed, isColinear, isColinear, isEmpty, isInside, isParallel, isParallel, project, supportContains, transform

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D

getLeftTangent, getRightTangent

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D

draw, getAsAWTShape, getAsPolyline, wrapCurve

Methods inherited from class java.lang.Object

finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface math.geom2d.domain.SmoothOrientedCurve2D

clip

Methods inherited from interface math.geom2d.curve.SmoothCurve2D

getCurvature, getTangent

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D

getAsPolyline, getLeftTangent, getRightTangent, getSmoothPieces, isClosed

Methods inherited from interface math.geom2d.domain.OrientedCurve2D

getSignedDistance, getSignedDistance, getWindingAngle, isInside

Methods inherited from interface math.geom2d.curve.Curve2D

draw, getAsAWTShape, getIntersections, getPosition, project

Methods inherited from interface math.geom2d.Shape2D

getDistance, getDistance, isEmpty

Field Detail

t0

protected double t0

t1

protected double t1

Constructor Detail

LineArc2D

public LineArc2D(Point2D point1,
                 Point2D point2,
                 double t0,
                 double t1)

Parameters:

point1 - the point located at t=0

point2 - the point located at t=1

t0 - the lower bound of line arc parameterization

t1 - the upper bound of line arc parameterization

LineArc2D

public LineArc2D(LinearShape2D line,
                 double t0,
                 double t1)

Construct a line arc contained in the same straight line as first argument, with bounds of arc given by t0 and t1

Parameters:

line - an object defining the supporting line

t0 - the lower bound of line arc parameterization

t1 - the upper bound of line arc parameterization

LineArc2D

public LineArc2D(LineArc2D line)

Construction by copy of another line arc

Parameters:

line - the line to copy

LineArc2D

public LineArc2D(double x1,
                 double y1,
                 double dx,
                 double dy,
                 double t0,
                 double t1)

Construct a line arc by the parameters of the supporting line and two positions on the line.

Parameters:

x1 - the x-coordinate of the first point

y1 - the y-coordinate of the first point

dx - the x-coordinate of the direction vector

dy - the y-coordinate of the direction vector

t0 - the starting position of the arc

t1 - the ending position of the arc

Method Detail

create

public LineArc2D create(Point2D p1,
                        Point2D p2,
                        double t0,
                        double t1)

Static factory for creating a new LineArc2D

Since:

0.8.1

getLength

public double getLength()

Returns the length of the line arc.

Specified by:

getLength in interface CirculinearCurve2D

Overrides:

getLength in class AbstractLine2D

Returns:

the length of the curve

getPoint1

public Point2D getPoint1()

Return the first point of the line arc. In the case of a line arc starting from -infinity, throws an UnboundedShapeException.

Returns:

the first point of the arc

getPoint2

public Point2D getPoint2()

Return the last point of the line arc. In the case of a line arc ending at infinity, throws an UnboundedShapeException.

Returns:

the last point of the arc.

getX1

public double getX1()

getY1

public double getY1()

getX2

public double getX2()

getY2

public double getY2()

getParallel

public LineArc2D getParallel(double d)

Description copied from interface: CirculinearCurve2D

Creates a new curve, formed by the points with parameterization: p(t) = c(t) + d*n(t)/|n(t)|, with p(t) being a point of the original curve, n(t) the normal of the curve, and |n| being the norm of n.
In the case of a continuous curve formed by several smooth circulinear elements, the parallels of contiguous elements are joined by a circle arc.

Specified by:

getParallel in interface CirculinearContinuousCurve2D

Specified by:

getParallel in interface CirculinearCurve2D

Specified by:

getParallel in interface CirculinearElement2D

Specified by:

getParallel in interface ContinuousCirculinearCurve2D

Parameters:

d - the distance between the original curve and he parallel curve.

Returns:

the parallel curve

getT0

public double getT0()

Returns the parameter of the first point of the line arc, arbitrarily set to 0.

Specified by:

getT0 in interface Curve2D

getT1

public double getT1()

Returns the parameter of the last point of the line arc, arbitrarily set to 1.

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

getFirstPoint

public Point2D getFirstPoint()

Return the first point of the edge. In the case of a line, or a ray starting from -infinity, returns Point2D.INFINITY_POINT.

Specified by:

getFirstPoint in interface Curve2D

Overrides:

getFirstPoint in class AbstractContinuousCurve2D

Returns:

the last point of the arc

getLastPoint

public Point2D getLastPoint()

Return the last point of the edge. In the case of a line, or a ray ending at infinity, returns Point2D.INFINITY_POINT.

Specified by:

getLastPoint in interface Curve2D

Overrides:

getLastPoint in class AbstractContinuousCurve2D

Returns:

the last point of the arc

getSingularPoints

public Collection<Point2D> getSingularPoints()

Description copied from class: AbstractSmoothCurve2D

Returns an empty set of Point2D, as a smooth curve does not have singular points by definition.

Specified by:

getSingularPoints in interface Curve2D

Overrides:

getSingularPoints in class AbstractSmoothCurve2D

Returns:

a collection of Point2D.

See Also:

Curve2D.getSingularPoints()

isSingular

public boolean isSingular(double pos)

Description copied from class: AbstractSmoothCurve2D

Returns always false, as a smooth curve does not have singular points by definition.

Specified by:

isSingular in interface Curve2D

Overrides:

isSingular in class AbstractSmoothCurve2D

Parameters:

pos - the position of the point on the curve

Returns:

true if the point at this location is singular

See Also:

Curve2D.isSingular(double)

getContinuousCurves

public Collection<? extends LineArc2D> getContinuousCurves()

Description copied from interface: Curve2D

Returns the collection of continuous curves which constitute this curve.

Specified by:

getContinuousCurves in interface CirculinearCurve2D

Specified by:

getContinuousCurves in interface Curve2D

Overrides:

getContinuousCurves in class AbstractLine2D

Returns:

a collection of continuous curves.

getReverseCurve

public LineArc2D getReverseCurve()

Returns the line arc which have the same trace, but has the inverse parameterization.

Specified by:

getReverseCurve in interface CirculinearContinuousCurve2D

Specified by:

getReverseCurve in interface CirculinearCurve2D

Specified by:

getReverseCurve in interface CirculinearElement2D

Specified by:

getReverseCurve in interface ContinuousCirculinearCurve2D

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 LineArc2D getSubCurve(double t0,
                             double t1)

Returns a new LineArc2D, which is the portion of this LineArc2D delimited by parameters t0 and t1.

Specified by:

getSubCurve in interface CirculinearContinuousCurve2D

Specified by:

getSubCurve in interface CirculinearCurve2D

Specified by:

getSubCurve in interface CirculinearElement2D

Specified by:

getSubCurve in interface ContinuousCirculinearCurve2D

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

Overrides:

getSubCurve in class AbstractLine2D

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.

isBounded

public boolean isBounded()

return true if both t0 and t1 are different from infinity.

Specified by:

isBounded in interface Shape2D

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.

contains

public boolean contains(Point2D pt)

Description copied from interface: Shape2D

Checks if the shape contains the given point.

Specified by:

contains in interface Shape2D

Overrides:

contains in class AbstractLine2D

contains

public boolean contains(double xp,
                        double yp)

Description copied from interface: Shape2D

Checks if the shape contains the planar point defined by (x,y).

Specified by:

contains in interface Shape2D

getGeneralPath

public GeneralPath getGeneralPath()

appendPath

public GeneralPath appendPath(GeneralPath path)

Appends a line to the current path. If t0 or t1 is infinite, throws a new UnboundedShapeException.

Specified by:

appendPath in interface ContinuousCurve2D

Parameters:

path - the path to modify

Returns:

the modified path

transform

public LineArc2D 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 LinearShape2D

Specified by:

transform in interface Shape2D

Specified by:

transform in class AbstractLine2D

Parameters:

trans - an affine transform

Returns:

the transformed shape

toString

public String toString()

Overrides:

toString in class Object

equals

public boolean equals(Object obj)

Overrides:

equals in class Object

clone

public LineArc2D clone()

Description copied from class: AbstractLine2D

Ensures public declaration of clone(), and ensures valid return type.

Specified by:

clone in interface Curve2D

Specified by:

clone in class AbstractLine2D

Returns:

the cloned curve