[1199] | 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: testGaussianQuadrature.cc,v 1.6 2006/06/29 19:00:37 gunter Exp $ |
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[1315] | 28 | // GEANT4 tag $Name: geant4-09-04-beta-cand-01 $ |
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[1199] | 29 | // |
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| 30 | // Test program for G4GaussianQuadrature class. The function std::exp(-x)*std::cos(x) is |
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| 31 | // integrated between zero and two pi. The true result is 0.499066278634 |
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| 32 | // |
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| 33 | |
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| 34 | #include "G4ios.hh" |
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| 35 | #include "globals.hh" |
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| 36 | // #include "G4VGaussianQuadrature.hh" |
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| 37 | #include "G4GaussChebyshevQ.hh" |
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| 38 | #include "G4GaussHermiteQ.hh" |
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| 39 | #include "G4GaussJacobiQ.hh" |
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| 40 | #include "G4GaussLaguerreQ.hh" |
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| 41 | #include "G4GaussLegendreQ.hh" |
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| 42 | |
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| 43 | G4double TestChebyshev(G4double x) |
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| 44 | { |
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| 45 | return std::sqrt(1-x*x)*std::cos(x) ; |
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| 46 | } |
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| 47 | |
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| 48 | G4double TestFunction(G4double x) |
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| 49 | { |
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| 50 | return std::exp(-x)*std::cos(x) ; |
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| 51 | } |
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| 52 | |
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| 53 | G4double TestHermite(G4double x) |
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| 54 | { |
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| 55 | return x*x*std::cos(x) ; |
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| 56 | } |
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| 57 | |
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| 58 | G4double CosFunction(G4double x) |
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| 59 | { |
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| 60 | return std::cos(x) ; |
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| 61 | } |
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| 62 | |
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| 63 | int main() |
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| 64 | { |
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| 65 | G4int i, n = 20; |
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| 66 | // G4double pTolerance ; |
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| 67 | G4double a = -1.0 ; |
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| 68 | G4double b = 1.0 ; |
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| 69 | // G4double true = pi*0.4400505857 ; |
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| 70 | for(i=1;i<20;i++) |
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| 71 | { |
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| 72 | n = 1*i ; |
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| 73 | G4GaussChebyshevQ myChebyshev(TestChebyshev,n) ; |
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| 74 | G4cout<<"n = "<<n<<"\t"<<"true = "<<true<<" and n-point Gauss-Chebyshev = " |
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| 75 | <<myChebyshev.Integral(a,b)<<G4endl ; |
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| 76 | } |
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| 77 | // G4double true = pi*0.4400505857 ; |
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| 78 | for(i=1;i<20;i++) |
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| 79 | { |
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| 80 | n = 1*i ; |
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| 81 | G4GaussJacobiQ myJacobi(CosFunction,0.5,0.5,n) ; |
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| 82 | G4cout<<"n = "<<n<<"\t"<<"true = "<<true<<" and n-point Gauss-Jacobi = " |
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| 83 | <<myJacobi.Integral()<<G4endl ; |
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| 84 | } |
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| 85 | G4double true = 2*0.125*std::sqrt(pi)*std::exp(-0.25) ; |
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| 86 | for(i=1;i<20;i++) |
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| 87 | { |
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| 88 | n = 1*i ; |
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| 89 | G4GaussHermiteQ myHermite(TestHermite,n) ; |
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| 90 | G4cout<<"n = "<<n<<"\t"<<"true = "<<true<<" and n-point GaussHermite = " |
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| 91 | <<myHermite.Integral()<<G4endl ; |
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| 92 | } |
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| 93 | /* ******************* |
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| 94 | G4GaussianQuadrature myHermite(n) ; |
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| 95 | for(i=0;i<(n+1)/2;i++) |
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| 96 | { |
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| 97 | G4cout<<i<<"\t"<<myHermite.GetAbscissa(i)<<"\t" |
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| 98 | <<myHermite.GetWeight(i)<<G4endl ; |
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| 99 | } |
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| 100 | G4GaussianQuadrature myLaguerre(0.0,n) ; |
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| 101 | for(i=0;i<n;i++) |
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| 102 | { |
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| 103 | G4cout<<i<<"\t"<<myLaguerre.GetAbscissa(i)<<"\t" |
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| 104 | <<myLaguerre.GetWeight(i)<<G4endl ; |
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| 105 | } |
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| 106 | */ ///////////////////////////////////// |
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| 107 | for(i=1;i<20;i++) |
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| 108 | { |
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| 109 | n = 1*i ; |
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| 110 | G4GaussLaguerreQ myLaguerre(CosFunction,0.0,n) ; |
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| 111 | G4cout<<"n = "<<n<<"\t"<<"true = 0.5 "<<" and n-point GaussLaguerre = " |
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| 112 | <<myLaguerre.Integral()<<G4endl ; |
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| 113 | } |
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| 114 | G4GaussLegendreQ myIntegrand(TestFunction) ; |
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| 115 | G4cout<<"true is 0.499066278634 "<<" and QuickGaussLegendre is "<< |
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| 116 | myIntegrand.QuickIntegral(0,2*pi)<<G4endl ; |
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| 117 | G4cout<<"true is 0.499066278634 "<<" and AccurateGaussLegendre is "<< |
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| 118 | myIntegrand.AccurateIntegral(0,2*pi)<<G4endl ; |
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| 119 | |
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| 120 | |
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| 121 | for(i=1;i<20;i++) |
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| 122 | { |
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| 123 | n = 8*i ; |
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| 124 | G4GaussLegendreQ myLegendre(TestFunction, n) ; |
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| 125 | G4cout<<myLegendre.GetNumber()<< |
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| 126 | "true is 0.5 "<<" and n-point GaussLegendre is " |
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| 127 | <<myLegendre.Integral(0,200*pi)<<G4endl ; |
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| 128 | } |
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| 129 | /* ************************************************** |
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| 130 | |
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| 131 | */ ///////////////////////////////////// |
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| 132 | return 0; |
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| 133 | } |
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