| 1 | //
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| 2 | // ********************************************************************
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| 3 | // * License and Disclaimer *
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| 4 | // * *
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| 5 | // * The Geant4 software is copyright of the Copyright Holders of *
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| 6 | // * the Geant4 Collaboration. It is provided under the terms and *
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| 7 | // * conditions of the Geant4 Software License, included in the file *
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| 8 | // * LICENSE and available at http://cern.ch/geant4/license . These *
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| 9 | // * include a list of copyright holders. *
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| 10 | // * *
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| 11 | // * Neither the authors of this software system, nor their employing *
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| 12 | // * institutes,nor the agencies providing financial support for this *
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| 13 | // * work make any representation or warranty, express or implied, *
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| 14 | // * regarding this software system or assume any liability for its *
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| 15 | // * use. Please see the license in the file LICENSE and URL above *
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| 16 | // * for the full disclaimer and the limitation of liability. *
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| 17 | // * *
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| 18 | // * This code implementation is the result of the scientific and *
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| 19 | // * technical work of the GEANT4 collaboration. *
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| 20 | // * By using, copying, modifying or distributing the software (or *
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| 21 | // * any work based on the software) you agree to acknowledge its *
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| 22 | // * use in resulting scientific publications, and indicate your *
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| 23 | // * acceptance of all terms of the Geant4 Software license. *
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| 24 | // ********************************************************************
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| 25 | //
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| 26 | //
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| 27 | // $Id: G4GaussLaguerreQ.hh,v 1.6 2006/06/29 18:59:40 gunter Exp $
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| 28 | // GEANT4 tag $Name: geant4-09-04-beta-01 $
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| 29 | //
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| 30 | // Class description:
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| 31 | //
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| 32 | // Class for realization of Gauss-Laguerre quadrature method
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| 33 | // Roots of ortogonal polynoms and corresponding weights are calculated based on
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| 34 | // iteration method (by bisection Newton algorithm). Constant values for initial
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| 35 | // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook
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| 36 | // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9,
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| 37 | // 10, and 22 .
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| 38 | //
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| 39 | // ---------------------------------------------------------------------------
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| 40 | //
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| 41 | // Constructor for Gauss-Laguerre quadrature method: integral from zero to
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| 42 | // infinity of std::pow(x,alpha)*std::exp(-x)*f(x). The value of nLaguerre sets the accuracy.
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| 43 | // The constructor creates arrays fAbscissa[0,..,nLaguerre-1] and
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| 44 | // fWeight[0,..,nLaguerre-1] . The function GaussLaguerre(f) should be called
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| 45 | // then with any f .
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| 46 | //
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| 47 | // G4GaussLaguerreQ( function pFunction,
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| 48 | // G4double alpha,
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| 49 | // G4int nLaguerre )
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| 50 | //
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| 51 | //
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| 52 | // -------------------------------------------------------------------------
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| 53 | //
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| 54 | // Gauss-Laguerre method for integration of std::pow(x,alpha)*std::exp(-x)*pFunction(x)
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| 55 | // from zero up to infinity. pFunction is evaluated in fNumber points for which
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| 56 | // fAbscissa[i] and fWeight[i] arrays were created in constructor
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| 57 | //
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| 58 | // G4double Integral() const
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| 59 |
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| 60 | // ------------------------------- HISTORY --------------------------------
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| 61 | //
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| 62 | // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0
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| 63 |
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| 64 | #ifndef G4GAUSSLAGUERREQ_HH
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| 65 | #define G4GAUSSLAGUERREQ_HH
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| 66 |
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| 67 | #include "G4VGaussianQuadrature.hh"
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| 68 |
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| 69 | class G4GaussLaguerreQ : public G4VGaussianQuadrature
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| 70 | {
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| 71 | public:
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| 72 | G4GaussLaguerreQ( function pFunction,
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| 73 | G4double alpha,
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| 74 | G4int nLaguerre ) ;
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| 75 |
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| 76 | // Methods
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| 77 |
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| 78 | G4double Integral() const ;
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| 79 |
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| 80 | private:
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| 81 |
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| 82 | G4GaussLaguerreQ(const G4GaussLaguerreQ&);
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| 83 | G4GaussLaguerreQ& operator=(const G4GaussLaguerreQ&);
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| 84 | };
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| 85 |
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| 86 | #endif
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