1 | //#---------------------------------------------------------------------------
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2 | //# Fitter.cc: A Fitter class for spectra
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3 | //#--------------------------------------------------------------------------
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4 | //# Copyright (C) 2004-2012
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5 | //# ATNF
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6 | //#
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7 | //# This program is free software; you can redistribute it and/or modify it
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8 | //# under the terms of the GNU General Public License as published by the Free
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9 | //# Software Foundation; either version 2 of the License, or (at your option)
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10 | //# any later version.
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11 | //#
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12 | //# This program is distributed in the hope that it will be useful, but
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13 | //# WITHOUT ANY WARRANTY; without even the implied warranty of
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14 | //# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General
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15 | //# Public License for more details.
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16 | //#
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17 | //# You should have received a copy of the GNU General Public License along
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18 | //# with this program; if not, write to the Free Software Foundation, Inc.,
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19 | //# 675 Massachusetts Ave, Cambridge, MA 02139, USA.
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20 | //#
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21 | //# Correspondence concerning this software should be addressed as follows:
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22 | //# Internet email: Malte.Marquarding@csiro.au
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23 | //# Postal address: Malte Marquarding,
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24 | //# Australia Telescope National Facility,
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25 | //# P.O. Box 76,
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26 | //# Epping, NSW, 2121,
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27 | //# AUSTRALIA
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28 | //#
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29 | //# $Id: STFitter.cpp 3106 2016-10-04 07:20:50Z TakeshiNakazato $
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30 | //#---------------------------------------------------------------------------
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31 | #include <casa/aips.h>
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32 | #include <casa/Arrays/ArrayMath.h>
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33 | #include <casa/Arrays/ArrayLogical.h>
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34 | #include <casa/Logging/LogIO.h>
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35 | #include <scimath/Fitting.h>
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36 | #include <scimath/Fitting/LinearFit.h>
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37 | #include <scimath/Functionals/CompiledFunction.h>
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38 | #include <scimath/Functionals/CompoundFunction.h>
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39 | #include <scimath/Functionals/Gaussian1D.h>
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40 | #include <scimath/Functionals/Lorentzian1D.h>
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41 | #include <scimath/Functionals/Sinusoid1D.h>
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42 | #include <scimath/Functionals/Polynomial.h>
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43 | #include <scimath/Mathematics/AutoDiff.h>
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44 | #include <scimath/Mathematics/AutoDiffMath.h>
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45 | #include <scimath/Fitting/NonLinearFitLM.h>
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46 | #include <components/SpectralComponents/SpectralEstimate.h>
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47 |
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48 | #include "STFitter.h"
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49 |
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50 | using namespace asap;
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51 | using namespace casacore;
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52 | using namespace casa;
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53 |
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54 | namespace asap {
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55 |
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56 | Fitter::Fitter()
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57 | {
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58 | }
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59 |
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60 | Fitter::~Fitter()
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61 | {
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62 | reset();
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63 | }
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64 |
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65 | void Fitter::clear()
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66 | {
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67 | for (uInt i=0;i< funcs_.nelements();++i) {
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68 | delete funcs_[i]; funcs_[i] = 0;
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69 | }
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70 | funcs_.resize(0,True);
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71 | parameters_.resize();
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72 | fixedpar_.resize();
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73 | error_.resize();
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74 | thefit_.resize();
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75 | estimate_.resize();
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76 | chisquared_ = 0.0;
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77 | }
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78 |
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79 | void Fitter::reset()
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80 | {
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81 | clear();
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82 | x_.resize();
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83 | y_.resize();
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84 | m_.resize();
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85 | constraints_.clear();
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86 | }
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87 |
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88 |
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89 | bool Fitter::computeEstimate() {
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90 | if (x_.nelements() == 0 || y_.nelements() == 0)
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91 | throw (AipsError("No x/y data specified."));
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92 |
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93 | if (funcs_.size() == 0) {
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94 | throw AipsError("No fit function specified.");
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95 | }
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96 |
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97 | if (dynamic_cast<Gaussian1D<Float>* >(funcs_[0]) == 0)
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98 | return false;
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99 | uInt n = funcs_.nelements();
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100 | SpectralEstimate estimator(n);
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101 | estimator.setQ(5);
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102 | Int mn,mx;
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103 | mn = 0;
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104 | mx = m_.nelements()-1;
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105 | for (uInt i=0; i<m_.nelements();++i) {
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106 | if (m_[i]) {
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107 | mn = i;
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108 | break;
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109 | }
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110 | }
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111 | // use Int to suppress compiler warning
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112 | for (Int j=m_.nelements()-1; j>=0;--j) {
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113 | if (m_[j]) {
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114 | mx = j;
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115 | break;
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116 | }
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117 | }
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118 | //mn = 0+x_.nelements()/10;
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119 | //mx = x_.nelements()-x_.nelements()/10;
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120 | estimator.setRegion(mn,mx);
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121 | //estimator.setWindowing(True);
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122 | SpectralList listGauss = estimator.estimate(x_, y_);
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123 | parameters_.resize(n*3);
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124 | Gaussian1D<Float>* g = 0;
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125 | for (uInt i=0; i<n;i++) {
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126 | g = dynamic_cast<Gaussian1D<Float>* >(funcs_[i]);
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127 | if (g) {
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128 | const GaussianSpectralElement *gauss =
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129 | dynamic_cast<const GaussianSpectralElement *>(listGauss[i]) ;
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130 | (*g)[0] = gauss->getAmpl();
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131 | (*g)[1] = gauss->getCenter();
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132 | (*g)[2] = gauss->getFWHM();
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133 | /*
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134 | (*g)[0] = listGauss[i].getAmpl();
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135 | (*g)[1] = listGauss[i].getCenter();
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136 | (*g)[2] = listGauss[i].getFWHM();
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137 | */
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138 | }
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139 | }
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140 | estimate_.resize();
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141 | listGauss.evaluate(estimate_,x_);
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142 | return true;
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143 | }
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144 |
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145 | std::vector<float> Fitter::getEstimate() const
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146 | {
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147 | if (estimate_.nelements() == 0)
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148 | throw (AipsError("No estimate set."));
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149 | std::vector<float> stlout;
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150 | estimate_.tovector(stlout);
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151 | return stlout;
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152 | }
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153 |
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154 |
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155 | bool Fitter::setExpression(const std::string& expr, int ncomp)
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156 | {
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157 | clear();
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158 | if (expr == "gauss") {
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159 | if (ncomp < 1) throw (AipsError("Need at least one gaussian to fit."));
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160 | funcs_.resize(ncomp);
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161 | funcnames_.clear();
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162 | funccomponents_.clear();
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163 | for (Int k=0; k<ncomp; ++k) {
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164 | funcs_[k] = new Gaussian1D<Float>();
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165 | funcnames_.push_back(expr);
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166 | funccomponents_.push_back(3);
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167 | }
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168 | } else if (expr == "lorentz") {
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169 | if (ncomp < 1) throw (AipsError("Need at least one lorentzian to fit."));
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170 | funcs_.resize(ncomp);
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171 | funcnames_.clear();
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172 | funccomponents_.clear();
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173 | for (Int k=0; k<ncomp; ++k) {
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174 | funcs_[k] = new Lorentzian1D<Float>();
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175 | funcnames_.push_back(expr);
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176 | funccomponents_.push_back(3);
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177 | }
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178 | } else if (expr == "sinusoid") {
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179 | if (ncomp < 1) throw (AipsError("Need at least one sinusoid to fit."));
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180 | funcs_.resize(ncomp);
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181 | funcnames_.clear();
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182 | funccomponents_.clear();
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183 | for (Int k=0; k<ncomp; ++k) {
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184 | funcs_[k] = new Sinusoid1D<Float>();
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185 | funcnames_.push_back(expr);
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186 | funccomponents_.push_back(3);
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187 | }
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188 | } else if (expr == "poly") {
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189 | funcs_.resize(1);
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190 | funcnames_.clear();
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191 | funccomponents_.clear();
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192 | funcs_[0] = new Polynomial<Float>(ncomp);
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193 | funcnames_.push_back(expr);
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194 | funccomponents_.push_back(ncomp);
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195 | } else {
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196 | LogIO os( LogOrigin( "Fitter", "setExpression()", WHERE ) ) ;
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197 | os << LogIO::WARN << " compiled functions not yet implemented" << LogIO::POST;
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198 | //funcs_.resize(1);
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199 | //funcs_[0] = new CompiledFunction<Float>();
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200 | //funcs_[0]->setFunction(String(expr));
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201 | return false;
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202 | }
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203 | return true;
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204 | }
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205 |
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206 | bool Fitter::setData(std::vector<float> absc, std::vector<float> spec,
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207 | std::vector<bool> mask)
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208 | {
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209 | x_.resize();
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210 | y_.resize();
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211 | m_.resize();
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212 | // convert std::vector to casa Vector
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213 | Vector<Float> tmpx(absc);
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214 | Vector<Float> tmpy(spec);
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215 | Vector<Bool> tmpm(mask);
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216 | AlwaysAssert(tmpx.nelements() == tmpy.nelements(), AipsError);
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217 | x_ = tmpx;
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218 | y_ = tmpy;
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219 | m_ = tmpm;
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220 | return true;
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221 | }
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222 |
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223 | std::vector<float> Fitter::getResidual() const
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224 | {
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225 | if (residual_.nelements() == 0)
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226 | throw (AipsError("Function not yet fitted."));
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227 | std::vector<float> stlout;
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228 | residual_.tovector(stlout);
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229 | return stlout;
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230 | }
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231 |
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232 | std::vector<float> Fitter::getFit() const
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233 | {
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234 | Vector<Float> out = thefit_;
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235 | std::vector<float> stlout;
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236 | out.tovector(stlout);
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237 | return stlout;
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238 |
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239 | }
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240 |
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241 | std::vector<float> Fitter::getErrors() const
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242 | {
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243 | Vector<Float> out = error_;
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244 | std::vector<float> stlout;
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245 | out.tovector(stlout);
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246 | return stlout;
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247 | }
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248 |
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249 | bool Fitter::setParameters(std::vector<float> params)
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250 | {
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251 | Vector<Float> tmppar(params);
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252 | if (funcs_.nelements() == 0)
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253 | throw (AipsError("Function not yet set."));
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254 | if (parameters_.nelements() > 0 && tmppar.nelements() != parameters_.nelements())
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255 | throw (AipsError("Number of parameters inconsistent with function."));
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256 | if (parameters_.nelements() == 0) {
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257 | parameters_.resize(tmppar.nelements());
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258 | if (tmppar.nelements() != fixedpar_.nelements()) {
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259 | fixedpar_.resize(tmppar.nelements());
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260 | fixedpar_ = False;
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261 | }
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262 | }
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263 | if (dynamic_cast<Gaussian1D<Float>* >(funcs_[0]) != 0) {
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264 | uInt count = 0;
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265 | for (uInt j=0; j < funcs_.nelements(); ++j) {
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266 | for (uInt i=0; i < funcs_[j]->nparameters(); ++i) {
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267 | (funcs_[j]->parameters())[i] = tmppar[count];
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268 | parameters_[count] = tmppar[count];
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269 | ++count;
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270 | }
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271 | }
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272 | } else if (dynamic_cast<Lorentzian1D<Float>* >(funcs_[0]) != 0) {
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273 | uInt count = 0;
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274 | for (uInt j=0; j < funcs_.nelements(); ++j) {
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275 | for (uInt i=0; i < funcs_[j]->nparameters(); ++i) {
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276 | (funcs_[j]->parameters())[i] = tmppar[count];
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277 | parameters_[count] = tmppar[count];
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278 | ++count;
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279 | }
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280 | }
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281 | } else if (dynamic_cast<Sinusoid1D<Float>* >(funcs_[0]) != 0) {
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282 | uInt count = 0;
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283 | for (uInt j=0; j < funcs_.nelements(); ++j) {
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284 | for (uInt i=0; i < funcs_[j]->nparameters(); ++i) {
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285 | (funcs_[j]->parameters())[i] = tmppar[count];
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286 | parameters_[count] = tmppar[count];
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287 | ++count;
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288 | }
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289 | }
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290 | } else if (dynamic_cast<Polynomial<Float>* >(funcs_[0]) != 0) {
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291 | for (uInt i=0; i < funcs_[0]->nparameters(); ++i) {
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292 | parameters_[i] = tmppar[i];
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293 | (funcs_[0]->parameters())[i] = tmppar[i];
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294 | }
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295 | }
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296 | // reset
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297 | if (params.size() == 0) {
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298 | parameters_.resize();
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299 | fixedpar_.resize();
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300 | }
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301 | return true;
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302 | }
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303 |
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304 | void Fitter::addConstraint(const std::vector<float>& constraint)
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305 | {
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306 | if (funcs_.nelements() == 0)
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307 | throw (AipsError("Function not yet set."));
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308 | constraints_.push_back(constraint);
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309 |
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310 | }
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311 |
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312 | void Fitter::applyConstraints(GenericL2Fit<Float>& fitter)
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313 | {
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314 | std::vector<std::vector<float> >::const_iterator it;
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315 | for (it = constraints_.begin(); it != constraints_.end(); ++it) {
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316 | Vector<Float> tmp(*it);
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317 | fitter.addConstraint(tmp(Slice(0,tmp.nelements()-1)),
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318 | tmp(tmp.nelements()-1));
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319 | }
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320 | }
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321 |
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322 | bool Fitter::setFixedParameters(std::vector<bool> fixed)
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323 | {
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324 | if (funcs_.nelements() == 0)
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325 | throw (AipsError("Function not yet set."));
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326 | if (fixedpar_.nelements() > 0 && fixed.size() != fixedpar_.nelements())
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327 | throw (AipsError("Number of mask elements inconsistent with function."));
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328 | if (fixedpar_.nelements() == 0) {
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329 | fixedpar_.resize(parameters_.nelements());
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330 | fixedpar_ = False;
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331 | }
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332 | if (dynamic_cast<Gaussian1D<Float>* >(funcs_[0]) != 0) {
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333 | uInt count = 0;
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334 | for (uInt j=0; j < funcs_.nelements(); ++j) {
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335 | for (uInt i=0; i < funcs_[j]->nparameters(); ++i) {
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336 | funcs_[j]->mask(i) = !fixed[count];
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337 | fixedpar_[count] = fixed[count];
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338 | ++count;
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339 | }
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340 | }
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341 | } else if (dynamic_cast<Lorentzian1D<Float>* >(funcs_[0]) != 0) {
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342 | uInt count = 0;
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343 | for (uInt j=0; j < funcs_.nelements(); ++j) {
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344 | for (uInt i=0; i < funcs_[j]->nparameters(); ++i) {
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345 | funcs_[j]->mask(i) = !fixed[count];
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346 | fixedpar_[count] = fixed[count];
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347 | ++count;
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348 | }
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349 | }
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350 | } else if (dynamic_cast<Sinusoid1D<Float>* >(funcs_[0]) != 0) {
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351 | uInt count = 0;
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352 | for (uInt j=0; j < funcs_.nelements(); ++j) {
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353 | for (uInt i=0; i < funcs_[j]->nparameters(); ++i) {
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354 | funcs_[j]->mask(i) = !fixed[count];
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355 | fixedpar_[count] = fixed[count];
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356 | ++count;
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357 | }
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358 | }
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359 | } else if (dynamic_cast<Polynomial<Float>* >(funcs_[0]) != 0) {
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360 | for (uInt i=0; i < funcs_[0]->nparameters(); ++i) {
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361 | fixedpar_[i] = fixed[i];
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362 | funcs_[0]->mask(i) = !fixed[i];
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363 | }
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364 | }
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365 | return true;
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366 | }
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367 |
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368 | std::vector<float> Fitter::getParameters() const {
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369 | Vector<Float> out = parameters_;
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370 | std::vector<float> stlout;
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371 | out.tovector(stlout);
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372 | return stlout;
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373 | }
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374 |
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375 | std::vector<bool> Fitter::getFixedParameters() const {
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376 | Vector<Bool> out(parameters_.nelements());
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377 | if (fixedpar_.nelements() == 0) {
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378 | return std::vector<bool>();
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379 | //throw (AipsError("No parameter mask set."));
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380 | } else {
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381 | out = fixedpar_;
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382 | }
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383 | std::vector<bool> stlout;
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384 | out.tovector(stlout);
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385 | return stlout;
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386 | }
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387 |
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388 | float Fitter::getChisquared() const {
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389 | return chisquared_;
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390 | }
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391 |
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392 | bool Fitter::fit() {
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393 | NonLinearFitLM<Float> fitter;
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394 | CompoundFunction<Float> func;
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395 |
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396 | uInt n = funcs_.nelements();
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397 | for (uInt i=0; i<n; ++i) {
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398 | func.addFunction(*funcs_[i]);
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399 | }
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400 |
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401 | fitter.setFunction(func);
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402 | fitter.setMaxIter(50+n*10);
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403 | // Convergence criterium
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404 | fitter.setCriteria(0.001);
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405 | applyConstraints(fitter);
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406 |
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407 | // Fit
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408 | // Vector<Float> sigma(x_.nelements());
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409 | // sigma = 1.0;
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410 |
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411 | parameters_.resize();
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412 | // parameters_ = fitter.fit(x_, y_, sigma, &m_);
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413 | parameters_ = fitter.fit(x_, y_, &m_);
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414 | if ( !fitter.converged() ) {
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415 | return false;
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416 | }
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417 | std::vector<float> ps;
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418 | parameters_.tovector(ps);
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419 | setParameters(ps);
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420 |
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421 | error_.resize();
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422 | error_ = fitter.errors();
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423 |
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424 | chisquared_ = fitter.getChi2();
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425 |
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426 | // use fitter.residual(model=True) to get the model
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427 | thefit_.resize(x_.nelements());
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428 | fitter.residual(thefit_,x_,True);
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429 | residual_.resize(x_.nelements());
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430 | residual_ = y_ - thefit_ ;
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431 | return true;
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432 | }
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433 |
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434 | bool Fitter::lfit() {
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435 | LinearFit<Float> fitter;
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436 | CompoundFunction<Float> func;
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437 |
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438 | uInt n = funcs_.nelements();
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439 | for (uInt i=0; i<n; ++i) {
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440 | func.addFunction(*funcs_[i]);
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441 | }
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442 |
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443 | fitter.setFunction(func);
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444 | applyConstraints(fitter);
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445 |
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446 | parameters_.resize();
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447 | parameters_ = fitter.fit(x_, y_, &m_);
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448 | std::vector<float> ps;
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449 | parameters_.tovector(ps);
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450 | setParameters(ps);
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451 |
|
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452 | error_.resize();
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453 | error_ = fitter.errors();
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454 |
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455 | chisquared_ = fitter.getChi2();
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456 |
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457 | thefit_.resize(x_.nelements());
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458 | fitter.residual(thefit_,x_,True);
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459 | residual_.resize(x_.nelements());
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460 | residual_ = y_ - thefit_ ;
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461 | return true;
|
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462 | }
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463 |
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464 | std::vector<float> Fitter::evaluate(int whichComp) const
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465 | {
|
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466 | std::vector<float> stlout;
|
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467 | uInt idx = uInt(whichComp);
|
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468 | Float y;
|
---|
469 | if ( idx < funcs_.nelements() ) {
|
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470 | for (uInt i=0; i<x_.nelements(); ++i) {
|
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471 | y = (*funcs_[idx])(x_[i]);
|
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472 | stlout.push_back(float(y));
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473 | }
|
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474 | }
|
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475 | return stlout;
|
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476 | }
|
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477 |
|
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478 | STFitEntry Fitter::getFitEntry() const
|
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479 | {
|
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480 | STFitEntry fit;
|
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481 | fit.setParameters(getParameters());
|
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482 | fit.setErrors(getErrors());
|
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483 | fit.setComponents(funccomponents_);
|
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484 | fit.setFunctions(funcnames_);
|
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485 | fit.setParmasks(getFixedParameters());
|
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486 | return fit;
|
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487 | }
|
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488 |
|
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489 | }
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