public class Line extends Object implements Embedding<Euclidean3D,Euclidean1D>
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 and Description |
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Line(Line line)
Copy constructor.
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Line(Vector3D p1,
Vector3D p2,
double tolerance)
Build a line from two points.
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Modifier and Type | Method and Description |
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Vector3D |
closestPoint(Line line)
Compute the point of the instance closest to another line.
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boolean |
contains(Vector3D p)
Check if the instance contains a point.
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double |
distance(Line line)
Compute the shortest distance between the instance and another line.
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double |
distance(Vector3D p)
Compute the distance between the instance and a point.
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static Line |
fromDirection(Vector3D point,
Vector3D direction,
double tolerance)
Create a line from a point and a direction.
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double |
getAbscissa(Vector3D point)
Get the abscissa of a point with respect to the line.
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Vector3D |
getDirection()
Get the normalized direction vector.
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Vector3D |
getOrigin()
Get the line point closest to the origin.
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double |
getTolerance()
Get the tolerance below which points are considered identical.
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Vector3D |
intersection(Line line)
Get the intersection point of the instance and another line.
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boolean |
isSimilarTo(Line line)
Check if the instance is similar to another line.
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Vector3D |
pointAt(double abscissa)
Get one point from the line.
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void |
reset(Vector3D p1,
Vector3D p2)
Reset the instance as if built from two points.
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Line |
revert()
Get a line with reversed direction.
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Vector3D |
toSpace(Point<Euclidean1D> point)
Transform a sub-space point into a space point.
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Vector3D |
toSpace(Vector<Euclidean1D> vector)
Transform a sub-space point into a space point.
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Vector1D |
toSubSpace(Point<Euclidean3D> point)
Transform a space point into a sub-space point.
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Vector1D |
toSubSpace(Vector<Euclidean3D> vector)
Transform a space point into a sub-space point.
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SubLine |
wholeLine()
Build a sub-line covering the whole line.
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public Line(Vector3D p1, Vector3D p2, double tolerance) throws MathIllegalArgumentException
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 identicalMathIllegalArgumentException
- if the points are equalfromDirection(Vector3D, Vector3D, double)
public Line(Line line)
The created instance is completely independent from the original instance, it is a deep copy.
line
- line to copypublic static Line fromDirection(Vector3D point, Vector3D direction, double tolerance)
point
+ t * direction
, where t is any real number.point
- on the line. Can be any point.direction
- of the line. Must not be the zero vector.tolerance
- below which points are considered identical.MathIllegalArgumentException
- if direction
is the zero vector.Line(Vector3D, Vector3D, double)
public void reset(Vector3D p1, Vector3D p2) throws MathIllegalArgumentException
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)MathIllegalArgumentException
- if the points are equalpublic double getTolerance()
public Line revert()
public Vector3D getDirection()
public Vector3D getOrigin()
public double getAbscissa(Vector3D point)
The abscissa is 0 if the projection of the point and the projection of the frame origin on the line are the same point.
point
- point to checkpublic Vector3D pointAt(double abscissa)
abscissa
- desired abscissa for the pointpublic Vector1D toSubSpace(Vector<Euclidean3D> vector)
vector
- n-dimension point of the spacepublic Vector3D toSpace(Vector<Euclidean1D> vector)
vector
- (n-1)-dimension point of the sub-spacepublic Vector1D toSubSpace(Point<Euclidean3D> point)
toSubSpace
in interface Embedding<Euclidean3D,Euclidean1D>
point
- n-dimension point of the spacegetAbscissa(Vector3D)
public Vector3D toSpace(Point<Euclidean1D> point)
toSpace
in interface Embedding<Euclidean3D,Euclidean1D>
point
- (n-1)-dimension point of the sub-spacepointAt(double)
public boolean isSimilarTo(Line line)
Lines are considered similar if they contain the same points. This does not mean they are equal since they can have opposite directions.
line
- line to which instance should be comparedpublic boolean contains(Vector3D p)
p
- point to checkpublic double distance(Vector3D p)
p
- to checkpublic double distance(Line line)
line
- line to check against the instancepublic Vector3D closestPoint(Line line)
line
- line to check against the instancepublic Vector3D intersection(Line line)
line
- other linepublic SubLine wholeLine()
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