| 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: testChebyshev.cc,v 1.6 2006/06/29 19:00:28 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 G4ChebyshevApproximation 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 "G4ChebyshevApproximation.hh"
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| 37 |
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| 38 | G4double TestChebyshev(G4double x)
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| 39 | {
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| 40 | return std::sqrt(1-x*x)*std::cos(x) ;
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| 41 | }
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| 42 |
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| 43 | G4double TestFunction(G4double x)
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| 44 | {
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| 45 | return std::exp(-x)*std::cos(x) ;
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| 46 | }
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| 47 |
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| 48 | G4double TestHermite(G4double x)
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| 49 | {
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| 50 | return x*x*std::cos(x) ;
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| 51 | }
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| 52 |
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| 53 | G4double ExpFunction(G4double x)
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| 54 | {
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| 55 | return std::exp(x) ;
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| 56 | }
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| 57 |
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| 58 | G4double SinFunction(G4double x)
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| 59 | {
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| 60 | return std::sin(x) ;
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| 61 | }
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| 62 |
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| 63 | main()
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| 64 | {
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| 65 | G4int i, k, m, n = 30;
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| 66 | G4double x = 3.0 ;
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| 67 | G4double a = 0.0 ;
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| 68 | G4double b = 10.0 ;
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| 69 |
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| 70 | G4double test, tolerance, true = ExpFunction(x) - 1.0 ;
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| 71 | for(i=5;i<=n;i++)
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| 72 | {
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| 73 | G4ChebyshevApproximation myChebyshev(ExpFunction,a,b,i) ; // integral
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| 74 | test = myChebyshev.ChebyshevEvaluation(x) ;
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| 75 | tolerance = 2*(true-test)/(true+test) ;
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| 76 | G4cout<<"n = "<<i<<"\t"<<"true = "<<true
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| 77 | <<" and n-point ChebEval = "
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| 78 | <<test<<"\t"<<tolerance<<G4endl ;
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| 79 | }
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| 80 | /* ********************************************************
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| 81 | n = k*m + 10 ;
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| 82 |
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| 83 | G4double x = 3.0 ;
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| 84 | G4double delta = m*0.1*x ;
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| 85 | G4double a = x - delta ;
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| 86 | G4double b = x + delta ;
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| 87 |
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| 88 | G4double test, tolerance, true = SinFunction(x) ;
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| 89 | for(i=1+m;i<=n;i++)
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| 90 | {
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| 91 | G4ChebyshevApproximation myChebyshev(SinFunction,i,m,a,b) ; // m-derivative
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| 92 | test = myChebyshev.ChebyshevEvaluation(x) ;
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| 93 | tolerance = 2*(true-test)/(true+test) ;
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| 94 | G4cout<<"n = "<<i<<"\t"<<"true = "<<true
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| 95 | <<" and n-point ChebEval = "
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| 96 | <<test<<"\t"<<tolerance<<G4endl ;
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| 97 | }
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| 98 | G4double test, tolerance, true = TestFunction(x) ;
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| 99 | for(i=1;i<n;i++)
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| 100 | {
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| 101 | G4ChebyshevApproximation myChebyshev(TestFunction,i,a,b) ;
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| 102 | test = myChebyshev.ChebyshevEvaluation(x) ;
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| 103 | tolerance = 2*(true-test)/(true+test) ;
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| 104 | G4cout<<"n = "<<i<<"\t"<<"true = "<<true
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| 105 | <<" and n-point ChebEval = "
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| 106 | <<test<<"\t"<<tolerance<<G4endl ;
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| 107 | }
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| 108 | */ ///////////////////////////////////////////////////
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| 109 | return 0;
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| 110 | }
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