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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 // G4GaussChebyshevQ class implementation 27 // 28 // Author: V.Grichine, 13.05.1997 29 // -------------------------------------------------------------------- 30 31 #include "G4GaussChebyshevQ.hh" 32 #include "G4PhysicalConstants.hh" 33 34 // ----------------------------------------------------- 35 // 36 // Constructor for Gauss-Chebyshev quadrature method 37 // 38 G4GaussChebyshevQ::G4GaussChebyshevQ(function pFunction, G4int nChebyshev) 39 : G4VGaussianQuadrature(pFunction) 40 { 41 fNumber = nChebyshev; // Try to reduce fNumber twice ?? 42 G4double cof = pi / fNumber; 43 fAbscissa = new G4double[fNumber]; 44 fWeight = new G4double[fNumber]; 45 for(G4int i = 0; i < fNumber; ++i) 46 { 47 fAbscissa[i] = std::cos(cof * (i + 0.5)); 48 fWeight[i] = cof * std::sqrt(1 - fAbscissa[i] * fAbscissa[i]); 49 } 50 } 51 52 // ------------------------------------------------------------------------------- 53 // 54 // Integrates function pointed by fFunction from a to b by Gauss-Chebyshev 55 // quadrature method 56 // 57 G4double G4GaussChebyshevQ::Integral(G4double a, G4double b) const 58 { 59 G4double xDiff = 0.5 * (b - a), xMean = 0.5 * (a + b), dx = 0.0, 60 integral = 0.0; 61 62 for(G4int i = 0; i < fNumber; ++i) 63 { 64 dx = xDiff * fAbscissa[i]; 65 integral += fWeight[i] * fFunction(xMean + dx); 66 } 67 return integral *= xDiff; 68 } 69