fr.cnes.sirius.patrius.math.analysis.integration.sphere.lebedev

Class LebedevGrid

java.lang.Object

fr.cnes.sirius.patrius.math.analysis.integration.sphere.lebedev.LebedevGrid

public class LebedevGrid
extends Object

Defines a Lebedev rule's grid.

Routines adapted from C++.
Original routines written by Vyacheslav Lebedev, Dmitri Laikov and John Burkardt under the GNU LGPL license.
(see sphere_lebedev_rule.html)

Reference:
Vyacheslav Lebedev, Dmitri Laikov,
A quadrature formula for the sphere of the 131st algebraic order of accuracy,
Russian Academy of Sciences Doklady Mathematics,
Volume 59, Number 3, 1999, pages 477-481.

Since:

4.0

Version:

$Id: SimpsonIntegrator.java 18108 2017-10-04 06:45:27Z bignon $

Author:

GMV

Constructor Summary

Constructors

Constructor and Description
LebedevGrid(LebedevGrid grid) Build a new LebedevGrid instance existing instance.
LebedevGrid(List<LebedevGridPoint> pointsIn) Build a new LebedevGrid instance from the specified list of grid points.

Method Summary

Modifier and Type	Method and Description
List<LebedevGridPoint>	getDuplicates(LebedevGrid grid, double absolutePrecision) Returns the grid points of the given grid that are also contained in the current grid.
List<LebedevGridPoint>	getDuplicates(List<LebedevGridPoint> pointsIn, double absolutePrecision) Returns the grid points of the given list that are also contained in the current grid.
List<LebedevGridPoint>	getPoints() Gets the list of grid points.
int	getSize() Gets the number of grid points.
double	getTotalWeight() Returns the sum of the weights of all the grid points.

Methods inherited from class java.lang.Object

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

Constructor Detail

LebedevGrid

public LebedevGrid(List<LebedevGridPoint> pointsIn)

Build a new LebedevGrid instance from the specified list of grid points.

Parameters:

pointsIn - a list of grid points

LebedevGrid

public LebedevGrid(LebedevGrid grid)

Build a new LebedevGrid instance existing instance.

Parameters:

grid - a Lebedev grid

Method Detail

getDuplicates

public List<LebedevGridPoint> getDuplicates(LebedevGrid grid,
                                            double absolutePrecision)

Returns the grid points of the given grid that are also contained in the current grid.

Parameters:

grid - a Lebedev grid

absolutePrecision - the absolute Cartesian distance above which two points are considered different

Returns:

the list of duplicates Lebedev grid points

getDuplicates

public List<LebedevGridPoint> getDuplicates(List<LebedevGridPoint> pointsIn,
                                            double absolutePrecision)

Returns the grid points of the given list that are also contained in the current grid.

Parameters:

pointsIn - a list of Lebedev grid points

absolutePrecision - the absolute cartesian distance above which two points are considered to be different

Returns:

the list of duplicates Lebedev grid points

getTotalWeight

public double getTotalWeight()

Returns the sum of the weights of all the grid points.

It should always be equal to one.

Returns:

the sum of grid points' weights

getPoints

public List<LebedevGridPoint> getPoints()

Gets the list of grid points.

Returns:

the list of grid points

getSize

public int getSize()

Gets the number of grid points.

Returns:

the number of grid points