| 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: testIntegration.cc,v 1.6 2006/06/29 19:00:39 gunter Exp $ |
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| 28 | // GEANT4 tag $Name: geant4-09-02-ref-02 $ |
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| 29 | // |
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| 30 | // Test program for G4SimpleIntegration 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 "G4SimpleIntegration.hh" |
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| 37 | |
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| 38 | G4double TestFunction(G4double x) |
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| 39 | { |
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| 40 | return std::exp(-x)*std::cos(x) ; |
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| 41 | } |
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| 42 | |
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| 43 | int main() |
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| 44 | { |
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| 45 | G4int i, n ; |
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| 46 | G4double pTolerance ; |
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| 47 | G4double a = 0.0 ; |
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| 48 | G4double b = twopi ; |
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| 49 | G4SimpleIntegration myIntegrand(TestFunction) ; |
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| 50 | |
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| 51 | G4cout<<"Iteration"<<"\t"<<"Trapezoidal"<<"\t" |
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| 52 | <<"MidPoint"<<"\t"<<"Gauss"<<"\t"<<"Simpson"<<G4endl ; |
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| 53 | for(i=0;i<13;i++) |
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| 54 | { |
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| 55 | n = (int)pow(2,i) ; |
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| 56 | G4cout<<n<<"\t" |
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| 57 | <<myIntegrand.Trapezoidal(a,b,n)<<"\t" |
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| 58 | <<myIntegrand.MidPoint(a,b,n)<<"\t" |
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| 59 | <<myIntegrand.Gauss(a,b,n)<<"\t" |
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| 60 | <<myIntegrand.Simpson(a,b,n)<<G4endl ; |
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| 61 | } |
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| 62 | G4cout<<G4endl ; |
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| 63 | for(i=0;i<13;i++) |
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| 64 | { |
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| 65 | pTolerance = std::pow(10.0,-i) ; |
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| 66 | G4SimpleIntegration adaptIntegrand(TestFunction,pTolerance) ; |
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| 67 | G4cout<<adaptIntegrand.AdaptGaussIntegration(a,b)<<G4endl; |
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| 68 | } |
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| 69 | return 0; |
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| 70 | } |
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