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26 // 26 //
>> 27 // $Id: G4LogLogInterpolation.cc,v 1.16 2009-09-25 07:41:34 sincerti Exp $
>> 28 // GEANT4 tag $Name: not supported by cvs2svn $
27 // 29 //
28 // Author: Maria Grazia Pia (Maria.Grazia.Pia@ 30 // Author: Maria Grazia Pia (Maria.Grazia.Pia@cern.ch)
29 // Sebastian Incerti (incerti@cenbg.in 31 // Sebastian Incerti (incerti@cenbg.in2p3.fr)
30 // Nicolas A. Karakatsanis (knicolas@m 32 // Nicolas A. Karakatsanis (knicolas@mail.ntua.gr)
31 // History: 33 // History:
32 // ----------- 34 // -----------
33 // 31 Jul 2001 MGP Created 35 // 31 Jul 2001 MGP Created
34 // 27 Jun 2008 SI Add check to avoid 36 // 27 Jun 2008 SI Add check to avoid FPE errors
35 // 08 Dec 2008 NAK Log-Log interpolat << 37 // 08 Dec 2008 NAK Log-Log interpolation math formula streamlined, self-test function
36 // self-test functi << 38 // 14 Jun 2008 NAK New implementation for log-log interpolation after directly loading
37 // 14 Jun 2008 NAK New implementation << 39 // logarithmic values from G4EMLOW dataset
38 // after directly lo <<
39 // logarithmic value <<
40 // ------------------------------------------- 40 // -------------------------------------------------------------------
41 41
42 #include "G4LogLogInterpolation.hh" 42 #include "G4LogLogInterpolation.hh"
43 43
44 //....oooOO0OOooo........oooOO0OOooo........oo <<
45 // Constructor 44 // Constructor
>> 45
46 G4LogLogInterpolation::G4LogLogInterpolation() 46 G4LogLogInterpolation::G4LogLogInterpolation()
47 { } 47 { }
48 48
49 //....oooOO0OOooo........oooOO0OOooo........oo <<
50 // Destructor 49 // Destructor
>> 50
51 G4LogLogInterpolation::~G4LogLogInterpolation( 51 G4LogLogInterpolation::~G4LogLogInterpolation()
52 { } 52 { }
53 53
54 //....oooOO0OOooo........oooOO0OOooo........oo <<
55 G4VDataSetAlgorithm* G4LogLogInterpolation::Cl 54 G4VDataSetAlgorithm* G4LogLogInterpolation::Clone() const
56 { return new G4LogLogInterpolation; } 55 { return new G4LogLogInterpolation; }
57 56
58 //....oooOO0OOooo........oooOO0OOooo........oo << 57
59 G4double G4LogLogInterpolation::Calculate(G4do 58 G4double G4LogLogInterpolation::Calculate(G4double x, G4int bin,
60 const G4DataVector& points, 59 const G4DataVector& points,
61 const G4DataVector& data) const 60 const G4DataVector& data) const
62 { 61 {
63 G4int nBins = G4int(data.size() - 1); << 62 //G4cout << "G4LogLogInterpolation is performed (2 arguments) " << G4endl;
>> 63 G4int nBins = data.size() - 1;
>> 64 //G4double oldresult = 0.;
64 G4double value = 0.; 65 G4double value = 0.;
65 if (x < points[0]) 66 if (x < points[0])
66 { 67 {
67 value = 0.; 68 value = 0.;
68 } 69 }
69 else if (bin < nBins) 70 else if (bin < nBins)
70 { 71 {
71 G4double e1 = points[bin]; 72 G4double e1 = points[bin];
72 G4double e2 = points[bin+1]; 73 G4double e2 = points[bin+1];
73 G4double d1 = data[bin]; 74 G4double d1 = data[bin];
74 G4double d2 = data[bin+1]; 75 G4double d2 = data[bin+1];
75 // Check of e1, e2, d1 and d2 values to << 76 // Check of e1, e2, d1 and d2 values to avoid floating-point errors when estimating the interpolated value below -- S.I., Jun. 2008
76 // interpolated value below <<
77 if ((d1 > 0.) && (d2 > 0.) && (e1 > 0.) 77 if ((d1 > 0.) && (d2 > 0.) && (e1 > 0.) && (e2 > 0.))
78 { 78 {
79 << 79 // Streamline the Log-Log Interpolation formula in order to reduce the required number of log10() function calls
80 value = std::log10(d1)+(std::log10(d2/d1)/ << 80 // Variable oldresult contains the result of old implementation of Log-Log interpolation -- M.G.P. Jun. 2001
81 value = std::pow(10.,value); << 81 // oldresult = (std::log10(d1)*std::log10(e2/x) + std::log10(d2)*std::log10(x/e1)) / std::log10(e2/e1);
>> 82 // oldresult = std::pow(10.,oldresult);
>> 83 // Variable value contains the result of new implementation, after streamlining the math operation -- N.A.K. Oct. 2008
>> 84 value = std::log10(d1)+(std::log10(d2/d1)/std::log10(e2/e1)*std::log10(x/e1));
>> 85 value = std::pow(10.,value);
>> 86 // Test of the new implementation result (value variable) against the old one (oldresult) -- N.A.K. Dec. 2008
>> 87 // G4double diffResult = value - oldresult;
>> 88 // G4double relativeDiff = 1e-11;
>> 89 // Comparison of the two values based on a max allowable relative difference
>> 90 // if ( std::fabs(diffResult) > relativeDiff*std::fabs(oldresult) )
>> 91 // {
>> 92 // Abort comparison when at least one of two results is infinite
>> 93 // if ((!std::isinf(oldresult)) && (!std::isinf(value)))
>> 94 // {
>> 95 // G4cout << "G4LogLogInterpolation> Old Interpolated Value is:" << oldresult << G4endl;
>> 96 // G4cout << "G4LogLogInterpolation> New Interpolated Value is:" << value << G4endl << G4endl;
>> 97 // G4cerr << "G4LogLogInterpolation> Error in Interpolation:" << G4endl;
>> 98 // G4cerr << "The difference between new and old interpolated value is:" << diffResult << G4endl << G4endl;
>> 99 // }
>> 100 // }
82 } 101 }
83 else value = 0.; 102 else value = 0.;
84 } 103 }
85 else 104 else
86 { 105 {
87 value = data[nBins]; 106 value = data[nBins];
88 } 107 }
89 return value; 108 return value;
90 } 109 }
91 110
92 //....oooOO0OOooo........oooOO0OOooo........oo << 111
93 // Nicolas A. Karakatsanis: New implementation 112 // Nicolas A. Karakatsanis: New implementation of log-log interpolation after directly loading
94 // logarithmic values 113 // logarithmic values from G4EMLOW dataset
>> 114
95 G4double G4LogLogInterpolation::Calculate(G4do 115 G4double G4LogLogInterpolation::Calculate(G4double x, G4int bin,
96 const G4DataVector& points, 116 const G4DataVector& points,
97 cons 117 const G4DataVector& data,
98 cons 118 const G4DataVector& log_points,
99 const G4DataVector& log_data) cons 119 const G4DataVector& log_data) const
100 { << 120 {
101 G4int nBins = G4int(data.size() - 1); << 121 //G4cout << "G4LogLogInterpolation is performed (4 arguments) " << G4endl;
>> 122 G4int nBins = data.size() - 1;
102 G4double value = 0.; 123 G4double value = 0.;
103 G4double log_x = std::log10(x); 124 G4double log_x = std::log10(x);
104 if (x < points[0]) 125 if (x < points[0])
105 { 126 {
106 value = 0.; 127 value = 0.;
107 } 128 }
108 else if (bin < nBins) 129 else if (bin < nBins)
109 { 130 {
110 G4double log_e1 = log_points[bin]; 131 G4double log_e1 = log_points[bin];
111 G4double log_e2 = log_points[bin+1]; 132 G4double log_e2 = log_points[bin+1];
112 G4double log_d1 = log_data[bin]; 133 G4double log_d1 = log_data[bin];
113 G4double log_d2 = log_data[bin+1]; 134 G4double log_d2 = log_data[bin+1];
114 135
115 // Values e1, e2, d1 and d2 are the log << 136 //G4cout << "x = " << x << " , logx = " << log_x << " , bin = " << bin << G4endl;
116 // original energy and data values. Simp << 137 //G4cout << "e1 = " << points[bin] << " d1 = " << data[bin] << G4endl;
117 // on loagarithmic data should be equiva << 138 //G4cout << "e2 = " << points[bin+1] << " d2 = " << data[bin+1] << G4endl;
>> 139 //G4cout << "loge1 = " << log_e1 << " logd1 = " << log_d1 << G4endl;
>> 140 //G4cout << "loge2 = " << log_e2 << " logd2 = " << log_d2 << G4endl;
>> 141
>> 142 // Values e1, e2, d1 and d2 are the log values of the corresponding
>> 143 // original energy and data values. Simple linear interpolation performed
>> 144 // on loagarithmic data should be equivalent to log-log interpolation
118 value = log_d1 + (log_d2 - log_d1)*(log_ 145 value = log_d1 + (log_d2 - log_d1)*(log_x - log_e1)/(log_e2 - log_e1);
119 146
120 // Delogarithmize to obtain interpolated << 147 // Delogarithmize to obtain interpolated value
121 value = std::pow(10.,value); 148 value = std::pow(10.,value);
122 } 149 }
123 else << 150 else
124 { << 151 {
125 value = data[nBins]; << 152 value = data[nBins];
126 } << 153 }
127 return value; 154 return value;
128 } 155 }
129 156