public class Line extends Object implements Hyperplane<Euclidean2D>, Embedding<Euclidean2D,Euclidean1D>
An oriented line can be defined either by prolongating a line segment between two points past these points, or by one point and an angular direction (in trigonometric orientation).
Since it is oriented the two half planes at its two sides are unambiguously identified as a left half plane and a right half plane. This can be used to identify the interior and the exterior in a simple way by local properties only when part of a line is used to define part of a polygon boundary.
A line can also be used to completely define a reference frame in the plane. It is sufficient to select one specific point in the line (the orthogonal projection of the original reference frame on the line) and to use the unit vector in the line direction and the orthogonal vector oriented from left half plane to right half plane. We define two coordinates by the process, the abscissa along the line, and the offset across the line. All points of the plane are uniquely identified by these two coordinates. The line is the set of points at zero offset, the left half plane is the set of points with negative offsets and the right half plane is the set of points with positive offsets.
Constructor and Description 

Line(Line line)
Copy constructor.

Line(Vector2D p,
double angle,
double tolerance)
Build a line from a point and an angle.

Line(Vector2D p1,
Vector2D p2,
double tolerance)
Build a line from two points.

Modifier and Type  Method and Description 

boolean 
contains(Vector2D p)
Check if the line contains a point.

Line 
copySelf()
Copy the instance.

double 
distance(Vector2D p)
Compute the distance between the instance and a point.

double 
getAngle()
Get the angle of the line.

double 
getOffset(Line line)
Get the offset (oriented distance) of a parallel line.

double 
getOffset(Point<Euclidean2D> point)
Get the offset (oriented distance) of a point.

double 
getOffset(Vector<Euclidean2D> vector)
Get the offset (oriented distance) of a vector.

double 
getOriginOffset()
Get the offset of the origin.

Vector2D 
getPointAt(Vector1D abscissa,
double offset)
Get one point from the plane.

Line 
getReverse()
Get the reverse of the instance.

double 
getTolerance()
Get the tolerance below which points are considered to belong to the hyperplane.

static Transform<Euclidean2D,Euclidean1D> 
getTransform(double cXX,
double cYX,
double cXY,
double cYY,
double cX1,
double cY1)
Get a
Transform embedding an affine transform. 
Vector2D 
intersection(Line other)
Get the intersection point of the instance and another line.

boolean 
isParallelTo(Line line)
Check the instance is parallel to another line.

Point<Euclidean2D> 
project(Point<Euclidean2D> point)
Project a point to the hyperplane.

void 
reset(Vector2D p,
double alpha)
Reset the instance as if built from a line and an angle.

void 
reset(Vector2D p1,
Vector2D p2)
Reset the instance as if built from two points.

void 
revertSelf()
Revert the instance.

boolean 
sameOrientationAs(Hyperplane<Euclidean2D> other)
Check if the instance has the same orientation as another hyperplane.

void 
setAngle(double angle)
Set the angle of the line.

void 
setOriginOffset(double offset)
Set the offset of the origin.

Vector2D 
toSpace(Point<Euclidean1D> point)
Transform a subspace point into a space point.

Vector2D 
toSpace(Vector<Euclidean1D> vector)
Transform a subspace point into a space point.

Vector1D 
toSubSpace(Point<Euclidean2D> point)
Transform a space point into a subspace point.

Vector1D 
toSubSpace(Vector<Euclidean2D> vector)
Transform a space point into a subspace point.

void 
translateToPoint(Vector2D p)
Translate the line to force it passing by a point.

SubLine 
wholeHyperplane()
Build a subhyperplane covering the whole hyperplane.

PolygonsSet 
wholeSpace()
Build a region covering the whole space.

public Line(Vector2D p1, Vector2D p2, double tolerance)
The line is oriented from p1 to p2
p1
 first pointp2
 second pointtolerance
 tolerance below which points are considered identicalpublic Line(Vector2D p, double angle, double tolerance)
p
 point belonging to the lineangle
 angle of the line with respect to abscissa axistolerance
 tolerance below which points are considered identicalpublic Line copySelf()
The instance created is completely independant of the original one. A deep copy is used, none of the underlying objects are shared (except for immutable objects).
copySelf
in interface Hyperplane<Euclidean2D>
public void reset(Vector2D p1, Vector2D p2)
The line is oriented from p1 to p2
p1
 first pointp2
 second pointpublic void reset(Vector2D p, double alpha)
p
 point belonging to the linealpha
 angle of the line with respect to abscissa axispublic void revertSelf()
public Line getReverse()
Get a line with reversed orientation with respect to the instance.
As long as neither the instance nor its reverse are modified
(i.e. as long as none of the reset(Vector2D, Vector2D)
,
reset(Vector2D, double)
, revertSelf()
,
setAngle(double)
or setOriginOffset(double)
methods are called), then the line and its reverse remain linked
together so that line.getReverse().getReverse() == line
.
When one of the line is modified, the link is deleted as both
instance becomes independent.
public Vector1D toSubSpace(Vector<Euclidean2D> vector)
vector
 ndimension point of the spacepublic Vector2D toSpace(Vector<Euclidean1D> vector)
vector
 (n1)dimension point of the subspacepublic Vector1D toSubSpace(Point<Euclidean2D> point)
toSubSpace
in interface Embedding<Euclidean2D,Euclidean1D>
point
 ndimension point of the spaceEmbedding.toSpace(org.apache.commons.math4.geometry.Point<T>)
public Vector2D toSpace(Point<Euclidean1D> point)
toSpace
in interface Embedding<Euclidean2D,Euclidean1D>
point
 (n1)dimension point of the subspaceEmbedding.toSubSpace(org.apache.commons.math4.geometry.Point<S>)
public Vector2D intersection(Line other)
other
 other linepublic Point<Euclidean2D> project(Point<Euclidean2D> point)
project
in interface Hyperplane<Euclidean2D>
point
 point to projectpublic double getTolerance()
getTolerance
in interface Hyperplane<Euclidean2D>
public SubLine wholeHyperplane()
wholeHyperplane
in interface Hyperplane<Euclidean2D>
public PolygonsSet wholeSpace()
wholeSpace
in interface Hyperplane<Euclidean2D>
PolygonsSet
instance)public double getOffset(Line line)
This method should be called only for parallel lines otherwise the result is not meaningful.
The offset is 0 if both lines are the same, it is positive if the line is on the right side of the instance and negative if it is on the left side, according to its natural orientation.
line
 line to checkpublic double getOffset(Vector<Euclidean2D> vector)
vector
 vector to checkpublic double getOffset(Point<Euclidean2D> point)
The offset is 0 if the point is on the underlying hyperplane, it is positive if the point is on one particular side of the hyperplane, and it is negative if the point is on the other side, according to the hyperplane natural orientation.
getOffset
in interface Hyperplane<Euclidean2D>
point
 point to checkpublic boolean sameOrientationAs(Hyperplane<Euclidean2D> other)
This method is expected to be called on parallel hyperplanes. The method should not recheck for parallelism, only for orientation, typically by testing something like the sign of the dotproducts of normals.
sameOrientationAs
in interface Hyperplane<Euclidean2D>
other
 other hyperplane to check against the instancepublic Vector2D getPointAt(Vector1D abscissa, double offset)
abscissa
 desired abscissa for the pointoffset
 desired offset for the pointpublic boolean contains(Vector2D p)
p
 point to checkpublic double distance(Vector2D p)
This is a shortcut for invoking FastMath.abs(getOffset(p)), and provides consistency with what is in the org.apache.commons.math4.geometry.euclidean.threed.Line class.
p
 to checkpublic boolean isParallelTo(Line line)
line
 other line to checkpublic void translateToPoint(Vector2D p)
p
 point by which the line should passpublic double getAngle()
public void setAngle(double angle)
angle
 new angle of the line with respect to the abscissa axispublic double getOriginOffset()
public void setOriginOffset(double offset)
offset
 offset of the originpublic static Transform<Euclidean2D,Euclidean1D> getTransform(double cXX, double cYX, double cXY, double cYY, double cX1, double cY1) throws MathIllegalArgumentException
Transform
embedding an affine transform.cXX
 transform factor between input abscissa and output abscissacYX
 transform factor between input abscissa and output ordinatecXY
 transform factor between input ordinate and output abscissacYY
 transform factor between input ordinate and output ordinatecX1
 transform addendum for output abscissacY1
 transform addendum for output ordinateVector2D
, Line
or SubHyperplane
instancesMathIllegalArgumentException
 if the transform is non invertibleCopyright © 2003–2016 The Apache Software Foundation. All rights reserved.