[819] | 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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[1192] | 27 | // $Id: G4LogLogInterpolation.cc,v 1.16 2009/09/25 07:41:34 sincerti Exp $ |
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[1347] | 28 | // GEANT4 tag $Name: geant4-09-04-ref-00 $ |
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[819] | 29 | // |
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| 30 | // Author: Maria Grazia Pia (Maria.Grazia.Pia@cern.ch) |
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[961] | 31 | // Sebastian Incerti (incerti@cenbg.in2p3.fr) |
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| 32 | // Nicolas A. Karakatsanis (knicolas@mail.ntua.gr) |
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[819] | 33 | // History: |
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| 34 | // ----------- |
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| 35 | // 31 Jul 2001 MGP Created |
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[961] | 36 | // 27 Jun 2008 SI Add check to avoid FPE errors |
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| 37 | // 08 Dec 2008 NAK Log-Log interpolation math formula streamlined, self-test function |
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[1192] | 38 | // 14 Jun 2008 NAK New implementation for log-log interpolation after directly loading |
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| 39 | // logarithmic values from G4EMLOW dataset |
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[819] | 40 | // ------------------------------------------------------------------- |
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| 41 | |
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| 42 | #include "G4LogLogInterpolation.hh" |
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| 43 | |
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| 44 | // Constructor |
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| 45 | |
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| 46 | G4LogLogInterpolation::G4LogLogInterpolation() |
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| 47 | { } |
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| 48 | |
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| 49 | // Destructor |
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| 50 | |
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| 51 | G4LogLogInterpolation::~G4LogLogInterpolation() |
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| 52 | { } |
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| 53 | |
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| 54 | G4VDataSetAlgorithm* G4LogLogInterpolation::Clone() const |
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| 55 | { return new G4LogLogInterpolation; } |
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| 56 | |
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| 57 | |
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| 58 | G4double G4LogLogInterpolation::Calculate(G4double x, G4int bin, |
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| 59 | const G4DataVector& points, |
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| 60 | const G4DataVector& data) const |
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| 61 | { |
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[1192] | 62 | //G4cout << "G4LogLogInterpolation is performed (2 arguments) " << G4endl; |
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[819] | 63 | G4int nBins = data.size() - 1; |
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[961] | 64 | //G4double oldresult = 0.; |
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[819] | 65 | G4double value = 0.; |
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| 66 | if (x < points[0]) |
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| 67 | { |
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| 68 | value = 0.; |
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| 69 | } |
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| 70 | else if (bin < nBins) |
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| 71 | { |
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| 72 | G4double e1 = points[bin]; |
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| 73 | G4double e2 = points[bin+1]; |
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| 74 | G4double d1 = data[bin]; |
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| 75 | G4double d2 = data[bin+1]; |
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[961] | 76 | // Check of e1, e2, d1 and d2 values to avoid floating-point errors when estimating the interpolated value below -- S.I., Jun. 2008 |
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| 77 | if ((d1 > 0.) && (d2 > 0.) && (e1 > 0.) && (e2 > 0.)) |
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| 78 | { |
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| 79 | // Streamline the Log-Log Interpolation formula in order to reduce the required number of log10() function calls |
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| 80 | // Variable oldresult contains the result of old implementation of Log-Log interpolation -- M.G.P. Jun. 2001 |
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| 81 | // oldresult = (std::log10(d1)*std::log10(e2/x) + std::log10(d2)*std::log10(x/e1)) / std::log10(e2/e1); |
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| 82 | // oldresult = std::pow(10.,oldresult); |
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| 83 | // Variable value contains the result of new implementation, after streamlining the math operation -- N.A.K. Oct. 2008 |
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| 84 | value = std::log10(d1)+(std::log10(d2/d1)/std::log10(e2/e1)*std::log10(x/e1)); |
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| 85 | value = std::pow(10.,value); |
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| 86 | // Test of the new implementation result (value variable) against the old one (oldresult) -- N.A.K. Dec. 2008 |
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| 87 | // G4double diffResult = value - oldresult; |
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| 88 | // G4double relativeDiff = 1e-11; |
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| 89 | // Comparison of the two values based on a max allowable relative difference |
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| 90 | // if ( std::fabs(diffResult) > relativeDiff*std::fabs(oldresult) ) |
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| 91 | // { |
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| 92 | // Abort comparison when at least one of two results is infinite |
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| 93 | // if ((!std::isinf(oldresult)) && (!std::isinf(value))) |
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| 94 | // { |
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| 95 | // G4cout << "G4LogLogInterpolation> Old Interpolated Value is:" << oldresult << G4endl; |
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| 96 | // G4cout << "G4LogLogInterpolation> New Interpolated Value is:" << value << G4endl << G4endl; |
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| 97 | // G4cerr << "G4LogLogInterpolation> Error in Interpolation:" << G4endl; |
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| 98 | // G4cerr << "The difference between new and old interpolated value is:" << diffResult << G4endl << G4endl; |
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| 99 | // } |
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| 100 | // } |
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| 101 | } |
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| 102 | else value = 0.; |
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[819] | 103 | } |
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| 104 | else |
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| 105 | { |
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| 106 | value = data[nBins]; |
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| 107 | } |
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| 108 | return value; |
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| 109 | } |
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[1192] | 110 | |
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| 111 | |
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| 112 | // Nicolas A. Karakatsanis: New implementation of log-log interpolation after directly loading |
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| 113 | // logarithmic values from G4EMLOW dataset |
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| 114 | |
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| 115 | G4double G4LogLogInterpolation::Calculate(G4double x, G4int bin, |
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| 116 | const G4DataVector& points, |
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| 117 | const G4DataVector& data, |
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| 118 | const G4DataVector& log_points, |
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| 119 | const G4DataVector& log_data) const |
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| 120 | { |
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| 121 | //G4cout << "G4LogLogInterpolation is performed (4 arguments) " << G4endl; |
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| 122 | G4int nBins = data.size() - 1; |
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| 123 | G4double value = 0.; |
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| 124 | G4double log_x = std::log10(x); |
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| 125 | if (x < points[0]) |
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| 126 | { |
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| 127 | value = 0.; |
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| 128 | } |
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| 129 | else if (bin < nBins) |
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| 130 | { |
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| 131 | G4double log_e1 = log_points[bin]; |
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| 132 | G4double log_e2 = log_points[bin+1]; |
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| 133 | G4double log_d1 = log_data[bin]; |
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| 134 | G4double log_d2 = log_data[bin+1]; |
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| 135 | |
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| 136 | //G4cout << "x = " << x << " , logx = " << log_x << " , bin = " << bin << G4endl; |
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| 137 | //G4cout << "e1 = " << points[bin] << " d1 = " << data[bin] << G4endl; |
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| 138 | //G4cout << "e2 = " << points[bin+1] << " d2 = " << data[bin+1] << G4endl; |
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| 139 | //G4cout << "loge1 = " << log_e1 << " logd1 = " << log_d1 << G4endl; |
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| 140 | //G4cout << "loge2 = " << log_e2 << " logd2 = " << log_d2 << G4endl; |
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| 141 | |
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| 142 | // Values e1, e2, d1 and d2 are the log values of the corresponding |
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| 143 | // original energy and data values. Simple linear interpolation performed |
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| 144 | // on loagarithmic data should be equivalent to log-log interpolation |
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| 145 | value = log_d1 + (log_d2 - log_d1)*(log_x - log_e1)/(log_e2 - log_e1); |
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| 146 | |
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| 147 | // Delogarithmize to obtain interpolated value |
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| 148 | value = std::pow(10.,value); |
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| 149 | } |
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| 150 | else |
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| 151 | { |
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| 152 | value = data[nBins]; |
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| 153 | } |
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| 154 | return value; |
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| 155 | } |
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