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G4GaussLaguerreQ.hh
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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
G4GaussLaguerreQ
Definition:
G4GaussLaguerreQ.hh:68
G4GaussLaguerreQ::operator=
G4GaussLaguerreQ & operator=(const G4GaussLaguerreQ &)
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
geant4.10.00.p02
source
global
HEPNumerics
include
G4GaussLaguerreQ.hh
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