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

Class LebedevGridUtils

java.lang.Object

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

public final class LebedevGridUtils
extends Object

Utility class for the generation of Lebedev rule's grid points for a given order.

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

Field Summary

Fields

Modifier and Type	Field and Description
static Map<Integer,Integer>	AVAILABLE_RULES List of available orders for Lebedev's rule, mapped to their corresponding number of points.
static Map<Integer,Integer>	UNAVAILABLE_RULES List of existing but unavailable orders for Lebedev's rule, mapped to their corresponding number of points.

Method Summary

Modifier and Type	Method and Description
static List<LebedevGrid>	getAvailableGrids() Get all the available grids.
static LebedevGrid	lebedevGridByNumberOfPoints(int nbPoints) Returns a Lebedev angular grid given its number of points.
static LebedevGrid	lebedevGridByOrder(int order) Returns a Lebedev angular grid for the given order.
static Integer	retrieveOrder(Integer nbPoints) Retrieve order from number of points.

Methods inherited from class java.lang.Object

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

Field Detail

AVAILABLE_RULES

public static final Map<Integer,Integer> AVAILABLE_RULES

List of available orders for Lebedev's rule, mapped to their corresponding number of points.

UNAVAILABLE_RULES

public static final Map<Integer,Integer> UNAVAILABLE_RULES

List of existing but unavailable orders for Lebedev's rule, mapped to their corresponding number of points.

Method Detail

retrieveOrder

public static Integer retrieveOrder(Integer nbPoints)

Retrieve order from number of points.

Parameters:

nbPoints - number of points.

Returns:

Retrieve order from number of points

getAvailableGrids

public static List<LebedevGrid> getAvailableGrids()

Get all the available grids.

Returns:

all the available grids

lebedevGridByOrder

public static LebedevGrid lebedevGridByOrder(int order)

Returns a Lebedev angular grid for the given order.

Only a certain set of such rules are available through this function. The available orders and the corresponding number of points are listed in AVAILABLE_RULES.

Original author ():
Dmitri Laikov (13 September 2010)

Parameters:

order - the order of the rule

Returns:

a Lebedev grid

lebedevGridByNumberOfPoints

public static LebedevGrid lebedevGridByNumberOfPoints(int nbPoints)

Returns a Lebedev angular grid given its number of points.

Only a certain set of such rules are available through this function. The available orders and the corresponding number of points are listed in AVAILABLE_RULES.

Original author ():
Dmitri Laikov (13 September 2010)

Parameters:

nbPoints - the number of points of the rule

Returns:

a Lebedev grid