source: trunk/source/global/HEPNumerics/test/testIntegration.cc@ 1220

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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//
27// $Id: testIntegration.cc,v 1.6 2006/06/29 19:00:39 gunter Exp $
28// GEANT4 tag $Name: geant4-09-02-ref-02 $
29//
30// Test program for G4SimpleIntegration class. The function std::exp(-x)*std::cos(x) is
31// integrated between zero and two pi. The true result is 0.499066278634
32//
33
34#include "G4ios.hh"
35#include "globals.hh"
36#include "G4SimpleIntegration.hh"
37
38G4double TestFunction(G4double x)
39{
40 return std::exp(-x)*std::cos(x) ;
41}
42
43int main()
44{
45 G4int i, n ;
46 G4double pTolerance ;
47 G4double a = 0.0 ;
48 G4double b = twopi ;
49 G4SimpleIntegration myIntegrand(TestFunction) ;
50
51 G4cout<<"Iteration"<<"\t"<<"Trapezoidal"<<"\t"
52 <<"MidPoint"<<"\t"<<"Gauss"<<"\t"<<"Simpson"<<G4endl ;
53 for(i=0;i<13;i++)
54 {
55 n = (int)pow(2,i) ;
56 G4cout<<n<<"\t"
57 <<myIntegrand.Trapezoidal(a,b,n)<<"\t"
58 <<myIntegrand.MidPoint(a,b,n)<<"\t"
59 <<myIntegrand.Gauss(a,b,n)<<"\t"
60 <<myIntegrand.Simpson(a,b,n)<<G4endl ;
61 }
62 G4cout<<G4endl ;
63 for(i=0;i<13;i++)
64 {
65 pTolerance = std::pow(10.0,-i) ;
66 G4SimpleIntegration adaptIntegrand(TestFunction,pTolerance) ;
67 G4cout<<adaptIntegrand.AdaptGaussIntegration(a,b)<<G4endl;
68 }
69 return 0;
70}
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