Geant4
10.03.p02
Main Page
Related Pages
Modules
Namespaces
Classes
Files
File List
File Members
All
Classes
Namespaces
Files
Functions
Variables
Typedefs
Enumerations
Enumerator
Friends
Macros
Groups
Pages
G4GaussLaguerreQ.hh
Go to the documentation of this file.
1
//
2
// ********************************************************************
3
// * License and Disclaimer *
4
// * *
5
// * The Geant4 software is copyright of the Copyright Holders of *
6
// * the Geant4 Collaboration. It is provided under the terms and *
7
// * conditions of the Geant4 Software License, included in the file *
8
// * LICENSE and available at http://cern.ch/geant4/license . These *
9
// * include a list of copyright holders. *
10
// * *
11
// * Neither the authors of this software system, nor their employing *
12
// * institutes,nor the agencies providing financial support for this *
13
// * work make any representation or warranty, express or implied, *
14
// * regarding this software system or assume any liability for its *
15
// * use. Please see the license in the file LICENSE and URL above *
16
// * for the full disclaimer and the limitation of liability. *
17
// * *
18
// * This code implementation is the result of the scientific and *
19
// * technical work of the GEANT4 collaboration. *
20
// * By using, copying, modifying or distributing the software (or *
21
// * any work based on the software) you agree to acknowledge its *
22
// * use in resulting scientific publications, and indicate your *
23
// * acceptance of all terms of the Geant4 Software license. *
24
// ********************************************************************
25
//
26
//
27
// $Id: G4GaussLaguerreQ.hh 67970 2013-03-13 10:10:06Z gcosmo $
28
//
29
// Class description:
30
//
31
// Class for realization of Gauss-Laguerre quadrature method
32
// Roots of ortogonal polynoms and corresponding weights are calculated based on
33
// iteration method (by bisection Newton algorithm). Constant values for initial
34
// approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
35
// of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
36
// 10, and 22 .
37
//
38
// ---------------------------------------------------------------------------
39
//
40
// Constructor for Gauss-Laguerre quadrature method: integral from zero to
41
// infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
42
// The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
43
// fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
44
// then with any f .
45
//
46
// G4GaussLaguerreQ( function pFunction,
47
// G4double alpha,
48
// G4int nLaguerre )
49
//
50
//
51
// -------------------------------------------------------------------------
52
//
53
// Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
54
// from zero up to infinity. pFunction is evaluated in fNumber points for which
55
// fAbscissa[i] and fWeight[i] arrays were created in constructor
56
//
57
// G4double Integral() const
58
59
// ------------------------------- HISTORY --------------------------------
60
//
61
// 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
62
63
#ifndef G4GAUSSLAGUERREQ_HH
64
#define G4GAUSSLAGUERREQ_HH
65
66
#include "
G4VGaussianQuadrature.hh
"
67
68
class
G4GaussLaguerreQ
:
public
G4VGaussianQuadrature
69
{
70
public
:
71
G4GaussLaguerreQ
(
function
pFunction,
72
G4double
alpha
,
73
G4int
nLaguerre ) ;
74
75
// Methods
76
77
G4double
Integral
()
const
;
78
79
private
:
80
81
G4GaussLaguerreQ
(
const
G4GaussLaguerreQ
&);
82
G4GaussLaguerreQ
& operator=(
const
G4GaussLaguerreQ
&);
83
};
84
85
#endif
G4GaussLaguerreQ::G4GaussLaguerreQ
G4GaussLaguerreQ(function pFunction, G4double alpha, G4int nLaguerre)
Definition:
G4GaussLaguerreQ.cc:42
G4GaussLaguerreQ
Definition:
G4GaussLaguerreQ.hh:68
G4int
int G4int
Definition:
G4Types.hh:78
G4VGaussianQuadrature
Definition:
G4VGaussianQuadrature.hh:66
G4VGaussianQuadrature.hh
G4double
double G4double
Definition:
G4Types.hh:76
alpha
static const G4double alpha
Definition:
G4LivermoreBremsstrahlungModel.cc:79
G4GaussLaguerreQ::Integral
G4double Integral() const
Definition:
G4GaussLaguerreQ.cc:116
source
geant4.10.03.p02
source
global
HEPNumerics
include
G4GaussLaguerreQ.hh
Generated on Tue Nov 28 2017 21:43:23 for Geant4 by
1.8.5