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26 // 26 //
>> 27 // $Id: G4LogLogInterpolation.cc 66241 2012-12-13 18:34:42Z gunter $
27 // 28 //
28 // Author: Maria Grazia Pia (Maria.Grazia.Pia@ 29 // Author: Maria Grazia Pia (Maria.Grazia.Pia@cern.ch)
29 // Sebastian Incerti (incerti@cenbg.in 30 // Sebastian Incerti (incerti@cenbg.in2p3.fr)
30 // Nicolas A. Karakatsanis (knicolas@m 31 // Nicolas A. Karakatsanis (knicolas@mail.ntua.gr)
31 // History: 32 // History:
32 // ----------- 33 // -----------
33 // 31 Jul 2001 MGP Created 34 // 31 Jul 2001 MGP Created
34 // 27 Jun 2008 SI Add check to avoid 35 // 27 Jun 2008 SI Add check to avoid FPE errors
35 // 08 Dec 2008 NAK Log-Log interpolat << 36 // 08 Dec 2008 NAK Log-Log interpolation math formula streamlined, self-test function
36 // self-test functi << 37 // 14 Jun 2008 NAK New implementation for log-log interpolation after directly loading
37 // 14 Jun 2008 NAK New implementation << 38 // logarithmic values from G4EMLOW dataset
38 // after directly lo <<
39 // logarithmic value <<
40 // ------------------------------------------- 39 // -------------------------------------------------------------------
41 40
42 #include "G4LogLogInterpolation.hh" 41 #include "G4LogLogInterpolation.hh"
43 42
44 //....oooOO0OOooo........oooOO0OOooo........oo <<
45 // Constructor 43 // Constructor
>> 44
46 G4LogLogInterpolation::G4LogLogInterpolation() 45 G4LogLogInterpolation::G4LogLogInterpolation()
47 { } 46 { }
48 47
49 //....oooOO0OOooo........oooOO0OOooo........oo <<
50 // Destructor 48 // Destructor
>> 49
51 G4LogLogInterpolation::~G4LogLogInterpolation( 50 G4LogLogInterpolation::~G4LogLogInterpolation()
52 { } 51 { }
53 52
54 //....oooOO0OOooo........oooOO0OOooo........oo <<
55 G4VDataSetAlgorithm* G4LogLogInterpolation::Cl 53 G4VDataSetAlgorithm* G4LogLogInterpolation::Clone() const
56 { return new G4LogLogInterpolation; } 54 { return new G4LogLogInterpolation; }
57 55
58 //....oooOO0OOooo........oooOO0OOooo........oo << 56
59 G4double G4LogLogInterpolation::Calculate(G4do 57 G4double G4LogLogInterpolation::Calculate(G4double x, G4int bin,
60 const G4DataVector& points, 58 const G4DataVector& points,
61 const G4DataVector& data) const 59 const G4DataVector& data) const
62 { 60 {
63 G4int nBins = G4int(data.size() - 1); << 61 //G4cout << "G4LogLogInterpolation is performed (2 arguments) " << G4endl;
>> 62 G4int nBins = data.size() - 1;
>> 63 //G4double oldresult = 0.;
64 G4double value = 0.; 64 G4double value = 0.;
65 if (x < points[0]) 65 if (x < points[0])
66 { 66 {
67 value = 0.; 67 value = 0.;
68 } 68 }
69 else if (bin < nBins) 69 else if (bin < nBins)
70 { 70 {
71 G4double e1 = points[bin]; 71 G4double e1 = points[bin];
72 G4double e2 = points[bin+1]; 72 G4double e2 = points[bin+1];
73 G4double d1 = data[bin]; 73 G4double d1 = data[bin];
74 G4double d2 = data[bin+1]; 74 G4double d2 = data[bin+1];
75 // Check of e1, e2, d1 and d2 values to << 75 // 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.) 76 if ((d1 > 0.) && (d2 > 0.) && (e1 > 0.) && (e2 > 0.))
78 { 77 {
79 << 78 // 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)/ << 79 // Variable oldresult contains the result of old implementation of Log-Log interpolation -- M.G.P. Jun. 2001
81 value = std::pow(10.,value); << 80 // oldresult = (std::log10(d1)*std::log10(e2/x) + std::log10(d2)*std::log10(x/e1)) / std::log10(e2/e1);
>> 81 // oldresult = std::pow(10.,oldresult);
>> 82 // Variable value contains the result of new implementation, after streamlining the math operation -- N.A.K. Oct. 2008
>> 83 value = std::log10(d1)+(std::log10(d2/d1)/std::log10(e2/e1)*std::log10(x/e1));
>> 84 value = std::pow(10.,value);
>> 85 // Test of the new implementation result (value variable) against the old one (oldresult) -- N.A.K. Dec. 2008
>> 86 // G4double diffResult = value - oldresult;
>> 87 // G4double relativeDiff = 1e-11;
>> 88 // Comparison of the two values based on a max allowable relative difference
>> 89 // if ( std::fabs(diffResult) > relativeDiff*std::fabs(oldresult) )
>> 90 // {
>> 91 // Abort comparison when at least one of two results is infinite
>> 92 // if ((!std::isinf(oldresult)) && (!std::isinf(value)))
>> 93 // {
>> 94 // G4cout << "G4LogLogInterpolation> Old Interpolated Value is:" << oldresult << G4endl;
>> 95 // G4cout << "G4LogLogInterpolation> New Interpolated Value is:" << value << G4endl << G4endl;
>> 96 // G4cerr << "G4LogLogInterpolation> Error in Interpolation:" << G4endl;
>> 97 // G4cerr << "The difference between new and old interpolated value is:" << diffResult << G4endl << G4endl;
>> 98 // }
>> 99 // }
82 } 100 }
83 else value = 0.; 101 else value = 0.;
84 } 102 }
85 else 103 else
86 { 104 {
87 value = data[nBins]; 105 value = data[nBins];
88 } 106 }
89 return value; 107 return value;
90 } 108 }
91 109
92 //....oooOO0OOooo........oooOO0OOooo........oo << 110
93 // Nicolas A. Karakatsanis: New implementation 111 // Nicolas A. Karakatsanis: New implementation of log-log interpolation after directly loading
94 // logarithmic values 112 // logarithmic values from G4EMLOW dataset
>> 113
95 G4double G4LogLogInterpolation::Calculate(G4do 114 G4double G4LogLogInterpolation::Calculate(G4double x, G4int bin,
96 const G4DataVector& points, 115 const G4DataVector& points,
97 cons 116 const G4DataVector& data,
98 cons 117 const G4DataVector& log_points,
99 const G4DataVector& log_data) cons 118 const G4DataVector& log_data) const
100 { << 119 {
101 G4int nBins = G4int(data.size() - 1); << 120 //G4cout << "G4LogLogInterpolation is performed (4 arguments) " << G4endl;
>> 121 G4int nBins = data.size() - 1;
102 G4double value = 0.; 122 G4double value = 0.;
103 G4double log_x = std::log10(x); 123 G4double log_x = std::log10(x);
104 if (x < points[0]) 124 if (x < points[0])
105 { 125 {
106 value = 0.; 126 value = 0.;
107 } 127 }
108 else if (bin < nBins) 128 else if (bin < nBins)
109 { 129 {
110 G4double log_e1 = log_points[bin]; 130 G4double log_e1 = log_points[bin];
111 G4double log_e2 = log_points[bin+1]; 131 G4double log_e2 = log_points[bin+1];
112 G4double log_d1 = log_data[bin]; 132 G4double log_d1 = log_data[bin];
113 G4double log_d2 = log_data[bin+1]; 133 G4double log_d2 = log_data[bin+1];
114 134
115 // Values e1, e2, d1 and d2 are the log << 135 //G4cout << "x = " << x << " , logx = " << log_x << " , bin = " << bin << G4endl;
116 // original energy and data values. Simp << 136 //G4cout << "e1 = " << points[bin] << " d1 = " << data[bin] << G4endl;
117 // on loagarithmic data should be equiva << 137 //G4cout << "e2 = " << points[bin+1] << " d2 = " << data[bin+1] << G4endl;
>> 138 //G4cout << "loge1 = " << log_e1 << " logd1 = " << log_d1 << G4endl;
>> 139 //G4cout << "loge2 = " << log_e2 << " logd2 = " << log_d2 << G4endl;
>> 140
>> 141 // Values e1, e2, d1 and d2 are the log values of the corresponding
>> 142 // original energy and data values. Simple linear interpolation performed
>> 143 // on loagarithmic data should be equivalent to log-log interpolation
118 value = log_d1 + (log_d2 - log_d1)*(log_ 144 value = log_d1 + (log_d2 - log_d1)*(log_x - log_e1)/(log_e2 - log_e1);
119 145
120 // Delogarithmize to obtain interpolated << 146 // Delogarithmize to obtain interpolated value
121 value = std::pow(10.,value); 147 value = std::pow(10.,value);
122 } 148 }
123 else << 149 else
124 { << 150 {
125 value = data[nBins]; << 151 value = data[nBins];
126 } << 152 }
127 return value; 153 return value;
128 } 154 }
129 155