[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: testDataInterpolation.cc,v 1.6 2006/06/29 19:00:31 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 | #include "G4ios.hh" |
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| 31 | #include "globals.hh" |
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| 32 | #include "G4DataInterpolation.hh" |
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| 33 | |
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| 34 | G4double TestFunction(G4double x) |
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| 35 | { |
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| 36 | return 10.0*std::exp(-0.1*x)*std::cos(x) ; |
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| 37 | //return 10.0*std::exp(-5*(x-pi)*(x-pi)) ; |
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| 38 | } |
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| 39 | |
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| 40 | int main() |
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| 41 | { |
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| 42 | G4int i, j ; |
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| 43 | const G4int n = 15 ; |
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| 44 | G4double pY[n], pX[n], cof[n] ; |
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| 45 | G4double x, polcof, pol, yTest, deltaY, deltaX = twopi/n ; |
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| 46 | for(i=0;i<n;i++) |
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| 47 | { |
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| 48 | pX[i] = deltaX*i ; |
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| 49 | pY[i] = TestFunction(deltaX*i) ; |
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| 50 | } |
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| 51 | |
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| 52 | G4DataInterpolation myPolInt(pX,pY,n) ; |
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| 53 | myPolInt.PolIntCoefficient(cof) ; |
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| 54 | |
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| 55 | // Test PolCof against Polynom |
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| 56 | |
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| 57 | G4cout<<"Test function"<<"\t"<<"Delta Pol"<<"\t"<<"delta " |
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| 58 | <<"\t"<<"Delta PolCof"<<"\t"<<"Delta Pol-PolCof"<<G4endl<<G4endl ; |
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| 59 | for(i=1;i<n-1;i++) |
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| 60 | { |
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| 61 | x = deltaX/2 + deltaX*i ; |
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| 62 | |
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| 63 | polcof = cof[n-1] ; |
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| 64 | for(j=n-2;j>=0;j--) |
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| 65 | { |
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| 66 | polcof = polcof*x +cof[j] ; |
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| 67 | } |
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| 68 | pol = myPolInt.PolynomInterpolation(x,deltaY) ; |
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| 69 | G4cout<<TestFunction(x)<<"\t" |
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| 70 | <<TestFunction(x) - pol<<"\t" |
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| 71 | <<deltaY<<"\t" |
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| 72 | <<TestFunction(x) - polcof<<"\t" |
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| 73 | <<pol - polcof<<G4endl ; |
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| 74 | } |
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| 75 | G4cout<<G4endl ; |
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| 76 | /* ************************* |
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| 77 | |
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| 78 | // Test RationalPol against Polynomial |
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| 79 | |
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| 80 | G4cout<<"Test function"<<"\t"<<"Delta Pol"<<"\t"<<"delta " |
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| 81 | <<"\t"<<"Delta RatPol"<<"\t"<<"delta"<<G4endl<<G4endl ; |
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| 82 | for(i=1;i<n-1;i++) |
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| 83 | { |
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| 84 | x = deltaX/2 + deltaX*i ; |
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| 85 | //yTest = myPolInt.RationalPolInterpolation(x,deltaY) ; |
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| 86 | G4cout<<TestFunction(x)<<"\t" |
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| 87 | <<TestFunction(x) - myPolInt.PolynomInterpolation(x,deltaY)<<"\t" |
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| 88 | <<deltaY<<"\t" |
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| 89 | <<TestFunction(x) - myPolInt.RationalPolInterpolation(x,deltaY)<<"\t" |
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| 90 | <<deltaY<<G4endl ; |
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| 91 | } |
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| 92 | // Test CubicSpline against Polynomial |
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| 93 | // Evaluation of start and finish first derivatives |
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| 94 | G4double deriStart = (pY[1]-pY[0])/deltaX ; |
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| 95 | G4double deriFinish = (pY[n-1]-pY[n-2])/deltaX ; |
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| 96 | |
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| 97 | G4DataInterpolation myPolIntCub(pX,pY,n,deriStart,deriFinish) ; // f''[i] is OK |
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| 98 | |
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| 99 | G4cout<<"Test function"<<"\t"<<"Delta Pol"<<"\t"<<"delta " |
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| 100 | <<"\t"<<"Delta CubicSpline"<<"\t"<<"Delta FastCubicSpline"<<G4endl<<G4endl ; |
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| 101 | for(i=1;i<n-1;i++) |
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| 102 | { |
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| 103 | x = deltaX/2 + deltaX*i ; |
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| 104 | //yTest = myPolInt.RationalPolInterpolation(x,deltaY) ; |
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| 105 | G4cout<<TestFunction(x)<<"\t" |
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| 106 | <<TestFunction(x) - myPolIntCub.PolynomInterpolation(x,deltaY)<<"\t" |
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| 107 | <<deltaY<<"\t" |
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| 108 | <<TestFunction(x) - myPolIntCub.CubicSplineInterpolation(x)<<"\t" |
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| 109 | <<TestFunction(x) - myPolIntCub.FastCubicSpline(x,i)<<G4endl ; |
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| 110 | } |
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| 111 | G4cout<<G4endl ; |
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| 112 | G4cout<<"j"<<"\t"<<"x[j]"<<"\t"<<"pX"<<"Locate j"<<"\t"<<"Correlated j"<<G4endl ; |
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| 113 | G4int index ; |
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| 114 | for(i=1;i<n-1;i++) |
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| 115 | { |
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| 116 | x = deltaX/2 + deltaX*i ; |
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| 117 | index = i ; |
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| 118 | myPolInt.CorrelatedSearch(x,index) ; |
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| 119 | G4cout<<i<<"\t"<<pX[i]<<"\t"<<x<<"\t" |
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| 120 | <<myPolInt.LocateArgument(x)<<"\t"<<index<<G4endl ; |
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| 121 | } |
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| 122 | */ /////////////////////////// |
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| 123 | // myPolIntCub.~G4DataInterpolation() ; |
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| 124 | return 0; |
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| 125 | } |
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