Voir la source de User Manual 3.3 Infinite Elliptic Cylinder

====Definition====
An infinite elliptic cylinder is a quadric surface obtained by extending an ellipse about its normal axis; in other words, a cylinder with an elliptic base. Assuming the XYZ coordinate system is such that the cylinder is centered and axis-aligned, the cylinders equation is given by:

<center>
<math>\mathcal{C} = \left\{ (x, y, z) \in {R}^3 \middle/ {x^2 \over a^2} + {y^2 \over b^2} = 1  \right\}</math>
</center>

[[File:ellipticCylinder.png|center]]

====Implementation====
The Infinite Elliptic Cylinder object in the SIRIUS library implements the [[User Manual 3.3 The Infinite Cylinder Interface|infinite cylinder interface]]. Please refer to the [{{JavaDoc3.3}}/org/apache/commons/math3/geometry/euclidean/threed/InfiniteEllipticCylinder.html Javadoc] for a complete list of public methods.

====Instantiation====
In order to instantiate an infinite elliptic cylinder object, the user must specify the cylinders' "center", its main axis, its axis along which semi axis is <math>a</math> and both semi-axis. For example :

<syntaxhighlight lang="java">
// Cylinders parameters
Vector3D position = new Vector3D(1, 2, 3);
Vector3D axis = new Vector3D(0, 1, 1);
Vector3D axisU = new Vector3D(2,-1, 0);
double a = 2.0;
double b = 1.0;
// The cylinder itself
InfiniteEllipticCylinder myCylinder = new InfiniteEllipticCylinder(position, axis, axisU, a, b);
</syntaxhighlight>

====Usage====
Please refer to the [MAT_GEO_Home#HInteractions Interactions with other geometrical objects section] for methods inherited from the Shape interface.