sc::LebedevLaikovIntegrator(3) MPQC sc::LebedevLaikovIntegrator(3)NAME
sc::LebedevLaikovIntegrator - An implementation of a Lebedev angular
integrator.
SYNOPSIS
#include <integrator.h>
Inherits sc::AngularIntegrator.
Public Member Functions
LebedevLaikovIntegrator (const Ref< KeyVal > &)
Construct a LebedevLaikovIntegrator using the given KeyVal input.
LebedevLaikovIntegrator (StateIn &)
LebedevLaikovIntegrator (int)
void save_data_state (StateOut &)
Save the base classes (with save_data_state) and the members in the
same order that the StateIn CTOR initializes them.
int nw (void) const
int num_angular_points (double r_value, int ir)
double angular_point_cartesian (int iangular, double r, SCVector3
&integration_point) const
void print (std::ostream &=ExEnv::out0()) const
Print the object.
Protected Member Functions
void init (int n)
Protected Attributes
int npoint_
double * x_
double * y_
double * z_
double * w_
Additional Inherited Members
Detailed Description
An implementation of a Lebedev angular integrator.
It uses code written by Dr. Dmitri N. Laikov.
This can generate grids with the following numbers of points: 6, 14,
26, 38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 386, 434,
482, 530, 590, 650, 698, 770, 830, 890, 974, 1046, 1118, 1202, 1274,
1358, 1454, 1538, 1622, 1730, 1814, 1910, 2030, 2126, 2222, 2354, 2450,
2558, 2702, 2810, 2930, 3074, 3182, 3314, 3470, 3590, 3722, 3890, 4010,
4154, 4334, 4466, 4610, 4802, 4934, 5090, 5294, 5438, 5606, and 5810.
V.I. Lebedev, and D.N. Laikov 'A quadrature formula for the sphere of
the 131st
algebraic order of accuracy' Doklady Mathematics, Vol. 59, No. 3,
1999, pp. 477-481.
V.I. Lebedev 'A quadrature formula for the sphere of 59th algebraic
order of accuracy' Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp.
283-286.
V.I. Lebedev, and A.L. Skorokhodov 'Quadrature formulas of orders 41,
47, and 53 for the sphere' Russian Acad. Sci. Dokl. Math., Vol. 45,
1992, pp. 587-592.
V.I. Lebedev 'Spherical quadrature formulas exact to orders 25-29'
Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.
V.I. Lebedev 'Quadratures on a sphere' Computational Mathematics and
Mathematical Physics, Vol. 16, 1976, pp. 10-24.
V.I. Lebedev "Values of the nodes and weights of ninth to seventeenth
order Gauss-Markov quadrature formulae invariant under the octahedron
group with inversion" Computational Mathematics and Mathematical
Physics, Vol. 15, 1975, pp. 44-51.
Constructor & Destructor Documentation
sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator (const Ref< KeyVal >
&)
Construct a LebedevLaikovIntegrator using the given KeyVal input. The n
keyword gives the number of angular points. The default is 302.
Member Function Documentation
void sc::LebedevLaikovIntegrator::save_data_state (StateOut &) [virtual]
Save the base classes (with save_data_state) and the members in the
same order that the StateIn CTOR initializes them. This must be
implemented by the derived class if the class has data.
Reimplemented from sc::AngularIntegrator.
Author
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Version 2.3.1 Fri Feb 19 2016 sc::LebedevLaikovIntegrator(3)
