| 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: G4GaussJacobiQ.hh,v 1.5 2006/06/29 18:59:38 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 | // Roots of ortogonal polynoms and corresponding weights are calculated based on |
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| 33 | // iteration method (by bisection Newton algorithm). Constant values for initial |
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| 34 | // approximations were derived from the book: M. Abramowitz, I. Stegun, Handbook |
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| 35 | // of mathematical functions, DOVER Publications INC, New York 1965 ; chapters 9, |
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| 36 | // 10, and 22 . |
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| 37 | // |
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| 38 | // --------------------------------------------------------------------------- |
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| 39 | // |
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| 40 | // Constructor for Gauss-Jacobi integration method. |
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| 41 | // |
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| 42 | // G4GaussJacobiQ( function pFunction, |
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| 43 | // G4double alpha, |
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| 44 | // G4double beta, |
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| 45 | // G4int nJacobi ) |
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| 46 | // |
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| 47 | // ---------------------------------------------------------------------------- |
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| 48 | // |
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| 49 | // Gauss-Jacobi method for integration of ((1-x)^alpha)*((1+x)^beta)*pFunction(x) |
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| 50 | // from minus unit to plus unit . |
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| 51 | // |
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| 52 | // G4double Integral() const |
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| 53 | |
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| 54 | // ------------------------------- HISTORY ------------------------------------- |
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| 55 | // |
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| 56 | // 13.05.97 V.Grichine (Vladimir.Grichine@cern.chz0 |
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| 57 | |
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| 58 | #ifndef G4GAUSSJACOBIQ_HH |
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| 59 | #define G4GAUSSJACOBIQ_HH |
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| 60 | |
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| 61 | #include "G4VGaussianQuadrature.hh" |
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| 62 | |
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| 63 | class G4GaussJacobiQ : public G4VGaussianQuadrature |
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| 64 | { |
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| 65 | public: |
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| 66 | // Constructor |
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| 67 | |
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| 68 | G4GaussJacobiQ( function pFunction, |
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| 69 | G4double alpha, |
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| 70 | G4double beta, |
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| 71 | G4int nJacobi ) ; |
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| 72 | |
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| 73 | // Methods |
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| 74 | |
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| 75 | G4double Integral() const ; |
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| 76 | |
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| 77 | private: |
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| 78 | |
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| 79 | G4GaussJacobiQ(const G4GaussJacobiQ&); |
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| 80 | G4GaussJacobiQ& operator=(const G4GaussJacobiQ&); |
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| 81 | }; |
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| 82 | |
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| 83 | #endif |
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