org.apache.commons.math3.geometry.euclidean.threed
Class EllipticCone

java.lang.Object
  org.apache.commons.math3.geometry.euclidean.threed.EllipticCone

All Implemented Interfaces:

Serializable, Cone, Shape, SolidShape

public final class EllipticCone
extends Object
implements Cone, Serializable

This is a describing class for a 3D oblique circular cone ended by a plane normal to its axis, with some algorithm to compute intersections and distances to some other objects.

Since:

1.0

Version:

$Id: EllipticCone.java 17583 2017-05-10 13:05:10Z bignon $

Author:

Thomas Trapier

See Also:

Shape.distanceTo(Line), Shape.intersects(Line), Serialized Form

Use sample :

Creation with two angles, a height and three Vector3D : Vector3D origin = new Vector3D(1.0, 6.0, -2.0); Vector3D direction = new Vector3D(6.0, -3.0, -1.0); Vector3D uVector = new Vector3D(-5.0, 3.0, 0.0); double angleU = 2.0; double angleV = 2.0; double height = 5.0; ObliqueCircularCone cone = new ObliqueCircularCone(origin, direction, uVector, angleU, angleV, length); Intersection with a line : boolean intersects = cone(line);

Concurrency :

immutable

Constructor Summary

EllipticCone(Vector3D inOrigin, Vector3D inDirection, Vector3D inUvector, double inAngleU, double inAngleV, double inHeight)
Build an oblique circular cone from its radius, the height, the origin (apex), the approximative u vector of the local frame and direction of its axis.

Method Summary

Vector3D[]	closestPointTo(Line line) Computes the points of the shape and the line realizing the shortest distance.
double	distanceTo(Line line) Computes the distance to a line.
double	getAngleU()
double	getAngleV()
Vector3D	getDirection()
double	getHeight()
Vector3D[]	getIntersectionPoints(Line line) Compute the intersection points with a line.
Vector3D	getOrigin()
Vector3D	getU()
Vector3D	getV()
boolean	intersects(Line line) Tests the intersection with a line.
String	toString() Get a representation for this oblique circular cone.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

EllipticCone

public EllipticCone(Vector3D inOrigin,
                    Vector3D inDirection,
                    Vector3D inUvector,
                    double inAngleU,
                    double inAngleV,
                    double inHeight)

Build an oblique circular cone from its radius, the height, the origin (apex), the approximative u vector of the local frame and direction of its axis.

Parameters:

inOrigin - the origin of the axis

inDirection - the direction of the axis

inUvector - approximative U vector of the local frame : corrected to be orthogonal to the direction

inAngleU - the angle of the cone on U direction

inAngleV - the angle of the cone on V direction

inHeight - the height of the cone on its axis

Throws:

IllegalArgumentException - if one angle or the height is negative or null, or if the direction vector or u vector has a null norm, or if they are parallel.

Method Detail

getHeight

public double getHeight()

Returns:

the height

getOrigin

public Vector3D getOrigin()

Returns:

the origin

getDirection

public Vector3D getDirection()

Returns:

the direction

getAngleU

public double getAngleU()

Returns:

the angle in U/W plane

getAngleV

public double getAngleV()

Returns:

the angle in U/W plane

getU

public Vector3D getU()

Returns:

the u vector for the local frame

getV

public Vector3D getV()

Returns:

the v vector for the local frame

intersects

public boolean intersects(Line line)

Tests the intersection with a line.

Specified by:

intersects in interface Shape

Parameters:

line - the line

Returns:

true if the line intersects the shape

getIntersectionPoints

public Vector3D[] getIntersectionPoints(Line line)

Compute the intersection points with a line.

Specified by:

getIntersectionPoints in interface Shape

Parameters:

line - the line

Returns:

the intersection points if they exist. If no intersection is found, the dimension is zero

distanceTo

public double distanceTo(Line line)

Computes the distance to a line.

Specified by:

distanceTo in interface Shape

Parameters:

line - the line

Returns:

the shortest distance between the the line and the shape

closestPointTo

public Vector3D[] closestPointTo(Line line)

Computes the points of the shape and the line realizing the shortest distance. If the line intersects the shape, the returned points are identical : this point is the first common point found.

Specified by:

closestPointTo in interface Shape

Parameters:

line - the line

Returns:

the two points : first the one from the line, and the one from the shape.

toString

public String toString()

Get a representation for this oblique circular cone. The given parameters are in the same order as in the constructor.

Overrides:

toString in class Object

Returns:

a representation for this oblique circular cone