LineArc2D

Documentation of 'math.geom2d.line.LineArc2D' Java class LineArc2D

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Summary:
Nested |
Field |
Constr |
Method

Detail:
Field |
Constr |
Method

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

All Implemented Interfaces:

java.lang.Cloneable, CirculinearContinuousCurve2D, CirculinearCurve2D, CirculinearElement2D, CirculinearShape2D, ContinuousCurve2D, Curve2D, SmoothCurve2D, ContinuousOrientedCurve2D, OrientedCurve2D, SmoothOrientedCurve2D, GeometricObject2D, LinearElement2D, LinearShape2D, Shape2D
```
public class LineArc2D
extends AbstractLine2D
implements SmoothOrientedCurve2D, java.lang.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
t0=0 and t1=1: this is an edge.
t0=-inf and t1=inf: this is a straight line.
t0=0 and t1=inf: this is a ray.
t0=-inf and 0: this is an inverted ray.

Field Summary
- Fields inherited from interface math.geom2d.Shape2D
  ACCURACY

Constructor Summary

Constructors
Constructor and Description
`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(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

All Methods Static Methods Instance Methods Concrete Methods Deprecated Methods
Modifier and Type	Method and Description
`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)` Appends a line to the current path.
`Box2D`	`boundingBox()` Returns the bounding box of this line arc.
`LineArc2D`	`clone()` Deprecated. use copy constructor instead (0.11.2)
`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.
`java.util.Collection<? extends LineArc2D>`	`continuousCurves()` Returns a collection of lines containing only this line.
`static LineArc2D`	`create(Point2D p1, Point2D p2, double t0, double t1)` Static factory for creating a new LineArc2D
`boolean`	`equals(java.lang.Object obj)`
`Point2D`	`firstPoint()` Returns the first point of the edge.
`java.awt.geom.GeneralPath`	`getGeneralPath()`
`double`	`getT0()` Deprecated. replaced by t0() (since 0.11.1).
`double`	`getT1()` Deprecated. replaced by t1() (since 0.11.1).
`double`	`getX1()`
`double`	`getX2()`
`double`	`getY1()`
`double`	`getY2()`
`boolean`	`isBounded()` Returns 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.
`Point2D`	`lastPoint()` Returns the last point of the edge.
`double`	`length()` Returns the length of the line arc.
`LineArc2D`	`parallel(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. In the case of a continuous curve formed by several smooth circulinear elements, the parallels of contiguous elements are joined by a circle arc.
`Point2D`	`point(double t)` Returns the point located at the given position on the curve.
`LineArc2D`	`reverse()` Returns the line arc which have the same trace, but has the inverse parameterization.
`java.util.Collection<Point2D>`	`singularPoints()` Returns an empty set of Point2D, as a smooth curve does not have singular points by definition.
`LineArc2D`	`subCurve(double t0, double t1)` Returns a new LineArc2D, which is the portion of this LineArc2D delimited by parameters t0 and t1.
`double`	`t0()` Returns the parameter of the first point of the line arc, arbitrarily set to 0.
`double`	`t1()` Returns the parameter of the last point of the line arc, arbitrarily set to 1.
`java.lang.String`	`toString()`
`LineArc2D`	`transform(AffineTransform2D trans)` Transforms the curve by an affine transform.

Methods inherited from class math.geom2d.line.AbstractLine2D
buffer, cartesianEquation, clip, curvature, direction, distance, distance, getIntersection, getSymmetric, getSymmetric, horizontalAngle, intersection, intersections, isClosed, isColinear, isColinear, isEmpty, isInside, isParallel, isParallel, length, origin, parallel, parametric, perpendicular, polarCoefficients, polarCoefficientsSigned, position, position, positionOnLine, positionOnLine, project, projectedPoint, projectedPoint, signedDistance, signedDistance, smoothPieces, supportingLine, tangent, transform, windingAngle

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D
leftTangent, normal, rightTangent, vertices

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D
asAwtShape, asPolyline, draw

Methods inherited from class java.lang.Object
getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface math.geom2d.domain.SmoothOrientedCurve2D
clip

Methods inherited from interface math.geom2d.curve.SmoothCurve2D
normal, tangent

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D
asPolyline, curvature, isClosed, leftTangent, rightTangent, smoothPieces

Methods inherited from interface math.geom2d.domain.OrientedCurve2D
isInside, signedDistance, signedDistance, windingAngle

Methods inherited from interface math.geom2d.curve.Curve2D
asAwtShape, draw, intersections, position, project, vertices

Methods inherited from interface math.geom2d.Shape2D
distance, distance, isEmpty

- 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(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 static LineArc2D create(Point2D p1,
                               Point2D p2,
                               double t0,
                               double t1)
```
    Static factory for creating a new LineArc2D
    
    Since:
    
    0.8.1
  - length
```
public double length()
```
    Returns the length of the line arc.
    
    Specified by:
    
    length in interface CirculinearCurve2D
    
    Overrides:
    
    length in class AbstractLine2D
    
    Returns:
    
    the length of the curve
  - getX1
```
public double getX1()
```
  - getY1
```
public double getY1()
```
  - getX2
```
public double getX2()
```
  - getY2
```
public double getY2()
```
  - parallel
```
public LineArc2D parallel(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:
    
    parallel in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    parallel in interface CirculinearCurve2D
    
    Specified by:
    
    parallel in interface CirculinearElement2D
    
    Parameters:
    
    d - the distance between the original curve and he parallel curve.
    
    Returns:
    
    the parallel curve
  - t0
```
public double t0()
```
    Returns the parameter of the first point of the line arc, arbitrarily set to 0.
    
    Specified by:
    
    t0 in interface Curve2D
  - getT0
```
@Deprecated
public double getT0()
```
    Deprecated. replaced by t0() (since 0.11.1).
    
    Specified by:
    
    getT0 in interface Curve2D
  - t1
```
public double t1()
```
    Returns the parameter of the last point of the line arc, arbitrarily set to 1.
    
    Specified by:
    
    t1 in interface Curve2D
  - getT1
```
@Deprecated
public double getT1()
```
    Deprecated. replaced by t1() (since 0.11.1).
    
    Specified by:
    
    getT1 in interface Curve2D
  - point
```
public Point2D point(double t)
```
    Description copied from interface: Curve2D
    
    Returns the point located at the given position on 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:
    
    point in interface Curve2D
  - firstPoint
```
public Point2D firstPoint()
```
    Returns the first point of the edge. In the case of a line, or a ray starting from -infinity, throws an UnboundedShape2DException.
    
    Specified by:
    
    firstPoint in interface Curve2D
    
    Overrides:
    
    firstPoint in class AbstractContinuousCurve2D
    
    Returns:
    
    the last point of the arc
    
    See Also:
    
    Curve2D.t0(), Curve2D.point(double)
  - lastPoint
```
public Point2D lastPoint()
```
    Returns the last point of the edge. In the case of a line, or a ray ending at infinity, throws an UnboundedShape2DException.
    
    Specified by:
    
    lastPoint in interface Curve2D
    
    Overrides:
    
    lastPoint in class AbstractContinuousCurve2D
    
    Returns:
    
    the last point of the arc
    
    See Also:
    
    Curve2D.t1(), Curve2D.point(double)
  - singularPoints
```
public java.util.Collection<Point2D> singularPoints()
```
    Description copied from class: AbstractSmoothCurve2D
    
    Returns an empty set of Point2D, as a smooth curve does not have singular points by definition.
    
    Specified by:
    
    singularPoints in interface Curve2D
    
    Overrides:
    
    singularPoints in class AbstractSmoothCurve2D
    
    Returns:
    
    a collection of Point2D.
    
    See Also:
    
    Curve2D.singularPoints()
  - 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)
  - continuousCurves
```
public java.util.Collection<? extends LineArc2D> continuousCurves()
```
    Description copied from class: AbstractLine2D
    
    Returns a collection of lines containing only this line.
    
    Specified by:
    
    continuousCurves in interface CirculinearCurve2D
    
    Specified by:
    
    continuousCurves in interface Curve2D
    
    Overrides:
    
    continuousCurves in class AbstractLine2D
    
    Returns:
    
    a collection of continuous curves.
  - reverse
```
public LineArc2D reverse()
```
    Returns the line arc which have the same trace, but has the inverse parameterization.
    
    Specified by:
    
    reverse in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    reverse in interface CirculinearCurve2D
    
    Specified by:
    
    reverse in interface CirculinearElement2D
    
    Specified by:
    
    reverse in interface ContinuousCurve2D
    
    Specified by:
    
    reverse in interface Curve2D
    
    Specified by:
    
    reverse in interface SmoothCurve2D
    
    Specified by:
    
    reverse in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    reverse in interface OrientedCurve2D
    
    Specified by:
    
    reverse in interface SmoothOrientedCurve2D
  - subCurve
```
public LineArc2D subCurve(double t0,
                          double t1)
```
    Returns a new LineArc2D, which is the portion of this LineArc2D delimited by parameters t0 and t1.
    
    Specified by:
    
    subCurve in interface CirculinearContinuousCurve2D
    
    Specified by:
    
    subCurve in interface CirculinearCurve2D
    
    Specified by:
    
    subCurve in interface CirculinearElement2D
    
    Specified by:
    
    subCurve in interface ContinuousCurve2D
    
    Specified by:
    
    subCurve in interface Curve2D
    
    Specified by:
    
    subCurve in interface SmoothCurve2D
    
    Specified by:
    
    subCurve in interface ContinuousOrientedCurve2D
    
    Specified by:
    
    subCurve in interface SmoothOrientedCurve2D
    
    Specified by:
    
    subCurve in interface LinearElement2D
    
    Overrides:
    
    subCurve 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()
```
    Returns true if both t0 and t1 are different from infinity.
    
    Specified by:
    
    isBounded in interface Shape2D
  - boundingBox
```
public Box2D boundingBox()
```
    Returns the bounding box of this line arc.
    
    Specified by:
    
    boundingBox 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 java.awt.geom.GeneralPath getGeneralPath()
```
  - appendPath
```
public java.awt.geom.GeneralPath appendPath(java.awt.geom.GeneralPath path)
```
    Appends a line to the current path. If t0 or t1 is infinite, throws a new UnboundedShape2DException.
    
    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 LinearElement2D
    
    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 java.lang.String toString()
```
    Overrides:
    
    toString in class java.lang.Object
  - almostEquals
```
public boolean almostEquals(GeometricObject2D obj,
                            double eps)
```
    Description copied from interface: GeometricObject2D
    
    Checks if the two objects are similar up to a given threshold value. This method can be used to compare the results of geometric computations, that introduce errors due to numerical computations.
    
    Specified by:
    
    almostEquals in interface GeometricObject2D
    
    Parameters:
    
    obj - the object to compare
    
    eps - a threshold value, for example the minimal coordinate difference
    
    Returns:
    
    true if both object have the same value up to the threshold
  - equals
```
public boolean equals(java.lang.Object obj)
```
    Overrides:
    
    equals in class java.lang.Object
  - clone
```
@Deprecated
public LineArc2D clone()
```
    Deprecated. use copy constructor instead (0.11.2)
    
    Specified by:
    
    clone in interface Curve2D
    
    Specified by:
    
    clone in class AbstractLine2D

Class LineArc2D

Field Summary

Fields inherited from interface math.geom2d.Shape2D

Constructor Summary

Method Summary

Methods inherited from class math.geom2d.line.AbstractLine2D

Methods inherited from class math.geom2d.curve.AbstractSmoothCurve2D

Methods inherited from class math.geom2d.curve.AbstractContinuousCurve2D

Methods inherited from class java.lang.Object

Methods inherited from interface math.geom2d.domain.SmoothOrientedCurve2D

Methods inherited from interface math.geom2d.curve.SmoothCurve2D

Methods inherited from interface math.geom2d.curve.ContinuousCurve2D

Methods inherited from interface math.geom2d.domain.OrientedCurve2D

Methods inherited from interface math.geom2d.curve.Curve2D

Methods inherited from interface math.geom2d.Shape2D

Constructor Detail

LineArc2D

LineArc2D

LineArc2D

Method Detail

create

length

getX1

getY1

getX2

getY2

parallel

t0

getT0

t1

getT1

point

firstPoint

lastPoint

singularPoints

isSingular

continuousCurves

reverse

subCurve

isBounded

boundingBox

contains

contains

getGeneralPath

appendPath

transform

toString

almostEquals

equals

clone