[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: 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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