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global
HEPNumerics
include
G4GaussLaguerreQ.hh
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//
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// ********************************************************************
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// * License and Disclaimer *
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// * *
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// * The Geant4 software is copyright of the Copyright Holders of *
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// * the Geant4 Collaboration. It is provided under the terms and *
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// * conditions of the Geant4 Software License, included in the file *
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// * LICENSE and available at http://cern.ch/geant4/license . These *
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// * include a list of copyright holders. *
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// * *
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// * Neither the authors of this software system, nor their employing *
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// * institutes,nor the agencies providing financial support for this *
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// * work make any representation or warranty, express or implied, *
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// * regarding this software system or assume any liability for its *
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// * use. Please see the license in the file LICENSE and URL above *
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// * for the full disclaimer and the limitation of liability. *
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// * *
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// * This code implementation is the result of the scientific and *
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// * technical work of the GEANT4 collaboration. *
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// * By using, copying, modifying or distributing the software (or *
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// * any work based on the software) you agree to acknowledge its *
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// * use in resulting scientific publications, and indicate your *
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// * acceptance of all terms of the Geant4 Software license. *
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// ********************************************************************
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//
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//
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// $Id: G4GaussLaguerreQ.hh 67970 2013-03-13 10:10:06Z gcosmo $
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//
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// Class description:
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//
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// Class for realization of Gauss-Laguerre quadrature method
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// Roots of ortogonal polynoms and corresponding weights are calculated based on
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// iteration method (by bisection Newton algorithm). Constant values for initial
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// approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
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// of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
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// 10, and 22 .
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//
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// ---------------------------------------------------------------------------
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//
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// Constructor for Gauss-Laguerre quadrature method: integral from zero to
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// infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
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// The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
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// fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
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// then with any f .
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//
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// G4GaussLaguerreQ( function pFunction,
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// G4double alpha,
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// G4int nLaguerre )
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//
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//
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// -------------------------------------------------------------------------
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//
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// Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
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// from zero up to infinity. pFunction is evaluated in fNumber points for which
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// fAbscissa[i] and fWeight[i] arrays were created in constructor
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//
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// G4double Integral() const
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// ------------------------------- HISTORY --------------------------------
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//
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// 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
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#ifndef G4GAUSSLAGUERREQ_HH
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#define G4GAUSSLAGUERREQ_HH
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#include "
G4VGaussianQuadrature.hh
"
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class
G4GaussLaguerreQ
:
public
G4VGaussianQuadrature
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{
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public
:
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G4GaussLaguerreQ
(
function
pFunction,
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G4double
alpha
,
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G4int
nLaguerre ) ;
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// Methods
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G4double
Integral
()
const
;
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private
:
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G4GaussLaguerreQ
(
const
G4GaussLaguerreQ
&);
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G4GaussLaguerreQ
&
operator=
(
const
G4GaussLaguerreQ
&);
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};
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#endif
G4GaussLaguerreQ::G4GaussLaguerreQ
G4GaussLaguerreQ(function pFunction, G4double alpha, G4int nLaguerre)
Definition:
G4GaussLaguerreQ.cc:42
G4VGaussianQuadrature.hh
G4double
double G4double
Definition:
G4Types.hh:76
G4GaussLaguerreQ::Integral
G4double Integral() const
Definition:
G4GaussLaguerreQ.cc:116
G4VGaussianQuadrature
Definition:
G4VGaussianQuadrature.hh:66
alpha
static const G4double alpha
Definition:
G4LivermoreBremsstrahlungModel.cc:79
G4GaussLaguerreQ::operator=
G4GaussLaguerreQ & operator=(const G4GaussLaguerreQ &)
G4int
int G4int
Definition:
G4Types.hh:78
G4GaussLaguerreQ
Definition:
G4GaussLaguerreQ.hh:68
다음에 의해 생성됨 :
1.8.5