Class FieldLine<T extends CalculusFieldElement<T>>
 Type Parameters:
T
 the type of the field elements
Each oriented line is intrinsically associated with an abscissa which is a coordinate on the line. The point at abscissa 0 is the orthogonal projection of the origin on the line, another equivalent way to express this is to say that it is the point of the line which is closest to the origin. Abscissa increases in the line direction.

Constructor Summary
ConstructorDescriptionCopy constructor.FieldLine
(FieldVector3D<T> p1, FieldVector3D<T> p2, double tolerance) Build a line from two points. 
Method Summary
Modifier and TypeMethodDescriptionclosestPoint
(FieldLine<T> line) Compute the point of the instance closest to another line.boolean
contains
(FieldVector3D<T> p) Check if the instance contains a point.boolean
Check if the instance contains a point.Compute the shortest distance between the instance and another line.distance
(FieldVector3D<T> p) Compute the distance between the instance and a point.Compute the distance between the instance and a point.getAbscissa
(FieldVector3D<T> point) Get the abscissa of a point with respect to the line.getAbscissa
(Vector3D point) Get the abscissa of a point with respect to the line.Get the normalized direction vector.Get the line point closest to the origin.double
Get the tolerance below which points are considered identical.intersection
(FieldLine<T> line) Get the intersection point of the instance and another line.boolean
isSimilarTo
(FieldLine<T> line) Check if the instance is similar to another line.pointAt
(double abscissa) Get one point from the line.Get one point from the line.void
reset
(FieldVector3D<T> p1, FieldVector3D<T> p2) Reset the instance as if built from two points.revert()
Get a line with reversed direction.

Constructor Details

FieldLine
public FieldLine(FieldVector3D<T> p1, FieldVector3D<T> p2, double tolerance) throws MathIllegalArgumentException Build a line from two points. Parameters:
p1
 first point belonging to the line (this can be any point)p2
 second point belonging to the line (this can be any point, different from p1)tolerance
 tolerance below which points are considered identical Throws:
MathIllegalArgumentException
 if the points are equal

FieldLine
Copy constructor.The created instance is completely independent from the original instance, it is a deep copy.
 Parameters:
line
 line to copy


Method Details

reset
Reset the instance as if built from two points. Parameters:
p1
 first point belonging to the line (this can be any point)p2
 second point belonging to the line (this can be any point, different from p1) Throws:
MathIllegalArgumentException
 if the points are equal

getTolerance
public double getTolerance()Get the tolerance below which points are considered identical. Returns:
 tolerance below which points are considered identical

revert
Get a line with reversed direction. Returns:
 a new instance, with reversed direction

getDirection
Get the normalized direction vector. Returns:
 normalized direction vector

getOrigin
Get the line point closest to the origin. Returns:
 line point closest to the origin

getAbscissa
Get the abscissa of a point with respect to the line.The abscissa is 0 if the projection of the point and the projection of the frame origin on the line are the same point.
 Parameters:
point
 point to check Returns:
 abscissa of the point

getAbscissa
Get the abscissa of a point with respect to the line.The abscissa is 0 if the projection of the point and the projection of the frame origin on the line are the same point.
 Parameters:
point
 point to check Returns:
 abscissa of the point

pointAt
Get one point from the line. Parameters:
abscissa
 desired abscissa for the point Returns:
 one point belonging to the line, at specified abscissa

pointAt
Get one point from the line. Parameters:
abscissa
 desired abscissa for the point Returns:
 one point belonging to the line, at specified abscissa

isSimilarTo
Check if the instance is similar to another line.Lines are considered similar if they contain the same points. This does not mean they are equal since they can have opposite directions.
 Parameters:
line
 line to which instance should be compared Returns:
 true if the lines are similar

contains
Check if the instance contains a point. Parameters:
p
 point to check Returns:
 true if p belongs to the line

contains
Check if the instance contains a point. Parameters:
p
 point to check Returns:
 true if p belongs to the line

distance
Compute the distance between the instance and a point. Parameters:
p
 to check Returns:
 distance between the instance and the point

distance
Compute the distance between the instance and a point. Parameters:
p
 to check Returns:
 distance between the instance and the point

distance
Compute the shortest distance between the instance and another line. Parameters:
line
 line to check against the instance Returns:
 shortest distance between the instance and the line

closestPoint
Compute the point of the instance closest to another line. Parameters:
line
 line to check against the instance Returns:
 point of the instance closest to another line

intersection
Get the intersection point of the instance and another line. Parameters:
line
 other line Returns:
 intersection point of the instance and the other line or null if there are no intersection points
