1 | //# SpectralFit2.cc: Least Squares fitting of spectral elements: templated part
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2 | //# Copyright (C) 2001,2002,2004
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3 | //# Associated Universities, Inc. Washington DC, USA.
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4 | //#
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5 | //# This library is free software; you can redistribute it and/or modify it
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6 | //# under the terms of the GNU Library General Public License as published by
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7 | //# the Free Software Foundation; either version 2 of the License, or (at your
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8 | //# option) any later version.
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9 | //#
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10 | //# This library is distributed in the hope that it will be useful, but WITHOUT
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11 | //# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 | //# FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public
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13 | //# License for more details.
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14 | //#
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15 | //# You should have received a copy of the GNU Library General Public License
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16 | //# along with this library; if not, write to the Free Software Foundation,
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17 | //# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
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18 | //#
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19 | //# Correspondence concerning AIPS++ should be addressed as follows:
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20 | //# Internet email: aips2-request@nrao.edu.
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21 | //# Postal address: AIPS++ Project Office
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22 | //# National Radio Astronomy Observatory
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23 | //# 520 Edgemont Road
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24 | //# Charlottesville, VA 22903-2475 USA
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25 | //#
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26 | //# $Id: SpectralFit2.tcc 21465 2014-06-19 05:56:56Z gervandiepen $
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27 |
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28 | //# Includes
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29 | #include <components/SpectralComponents/SpectralFit.h>
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30 |
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31 | #include <casa/Utilities/PtrHolder.h>
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32 | #include <components/SpectralComponents/CompiledSpectralElement.h>
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33 | #include <components/SpectralComponents/GaussianSpectralElement.h>
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34 | #include <components/SpectralComponents/LogTransformedPolynomialSpectralElement.h>
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35 | #include <components/SpectralComponents/LorentzianSpectralElement.h>
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36 | #include <components/SpectralComponents/PolynomialSpectralElement.h>
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37 | #include <components/SpectralComponents/PowerLogPolynomialSpectralElement.h>
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38 | #include <scimath/Fitting/NonLinearFitLM.h>
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39 | #include <scimath/Functionals/CompiledFunction.h>
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40 | #include <scimath/Functionals/CompoundFunction.h>
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41 | #include <scimath/Functionals/CompoundParam.h>
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42 | #include <scimath/Functionals/Gaussian1D.h>
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43 | #include <scimath/Functionals/Lorentzian1D.h>
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44 | #include <scimath/Functionals/Polynomial.h>
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45 | #include <scimath/Functionals/PowerLogarithmicPolynomial.h>
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46 |
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47 | namespace casa { //# NAMESPACE CASA - BEGIN
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48 |
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49 | //# Templated member functions
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50 |
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51 | template <class MT>
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52 | Bool SpectralFit::fit(const Vector<MT> &y,
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53 | const Vector<MT> &x,
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54 | const Vector<Bool> *mask) {
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55 | Vector<MT> sigma(x.nelements());
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56 | sigma = 1.0;
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57 | return fit(sigma, y, x, mask);
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58 | }
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59 |
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60 | template <class MT>
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61 | Bool SpectralFit::fit(
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62 | const Vector<MT> &sigma, const Vector<MT> &y,
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63 | const Vector<MT> &x, const Vector<Bool> *mask
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64 | ) {
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65 | NonLinearFitLM<MT> fitter;
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66 | iter_p = 0;
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67 | // The functions to fit
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68 | CompoundFunction<AutoDiff<MT> > func;
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69 | uInt ncomps = slist_p.nelements();
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70 | PtrHolder<Function<AutoDiff<MT> > > autodiff;
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71 | for (uInt i=0; i<ncomps; i++) {
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72 | SpectralElement *elem = slist_p[i];
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73 | uInt nparms = elem->getOrder();
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74 | SpectralElement::Types type = slist_p[i]->getType();
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75 | switch(type) {
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76 | case SpectralElement::GAUSSIAN: {
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77 | autodiff.set(new Gaussian1D<AutoDiff<MT> >());
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78 | }
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79 | break;
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80 | case SpectralElement::POLYNOMIAL: {
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81 | PolynomialSpectralElement *x = dynamic_cast<PolynomialSpectralElement *>(elem);
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82 | autodiff.set(new Polynomial<AutoDiff<MT> >(x->getDegree()));
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83 | }
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84 | break;
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85 | case SpectralElement::COMPILED:
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86 | // Allow fall through; these use the same code
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87 | case SpectralElement::GMULTIPLET: {
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88 | CompiledSpectralElement *x = dynamic_cast<CompiledSpectralElement *>(elem);
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89 | autodiff.set(new CompiledFunction<AutoDiff<MT> >());
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90 | dynamic_cast<CompiledFunction<AutoDiff<MT> > *>(
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91 | autodiff.ptr()
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92 | )->setFunction(x->getFunction());
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93 | }
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94 | break;
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95 | case SpectralElement::LORENTZIAN: {
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96 | autodiff.set(new Lorentzian1D<AutoDiff<MT> >());
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97 | }
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98 | break;
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99 | case SpectralElement::POWERLOGPOLY: {
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100 | Vector<Double> parms = elem->get();
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101 | autodiff.set(new PowerLogarithmicPolynomial<AutoDiff<MT> > (nparms));
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102 | }
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103 | break;
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104 | case SpectralElement::LOGTRANSPOLY: {
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105 | LogTransformedPolynomialSpectralElement *x = dynamic_cast<
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106 | LogTransformedPolynomialSpectralElement*
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107 | >(elem);
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108 | // treated as a polynomial for fitting purposes. The caller is responsible for passing the ln's of
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109 | // the ordinate and obscissa values to the fitter.
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110 | autodiff.set(new Polynomial<AutoDiff<MT> > (x->getDegree()));
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111 | }
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112 | break;
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113 | default:
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114 | throw AipsError("SpectralFit::fit(): Logic Error: Unhandled SpectralElement type");
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115 | }
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116 | Vector<Double> parms = elem->get();
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117 | Vector<Bool> fixed = elem->fixed();
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118 | for (uInt j=0; j<nparms; j++) {
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119 | (*autodiff)[j] = AutoDiff<MT>(parms[j], nparms, j);
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120 | if (j == PCFSpectralElement::WIDTH && type == SpectralElement::GAUSSIAN) {
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121 | (*autodiff)[j] *= GaussianSpectralElement::SigmaToFWHM;
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122 | }
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123 | autodiff->mask(j) = ! fixed[j];
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124 | }
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125 | func.addFunction(*autodiff);
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126 | }
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127 | fitter.setFunction(func);
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128 | // Max. number of iterations
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129 | fitter.setMaxIter(50+ ncomps*10);
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130 | // Convergence criterium
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131 | fitter.setCriteria(0.001);
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132 | // Fit
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133 | Vector<MT> sol;
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134 | Vector<MT> err;
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135 | sol = fitter.fit(x, y, sigma, mask);
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136 | err = fitter.errors();
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137 | // Number of iterations
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138 | iter_p = fitter.currentIteration();
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139 | chiSq_p = fitter.getChi2();
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140 | uInt j = 0;
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141 | Vector<Double> tmp, terr;
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142 | for (uInt i=0; i<ncomps; i++) {
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143 | SpectralElement *element = slist_p[i];
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144 | uInt nparms = element->getOrder();
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145 | tmp.resize(nparms);
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146 | terr.resize(nparms);
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147 | SpectralElement::Types type = element->getType();
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148 | for (uInt k=0; k<nparms; k++) {
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149 | Bool convertGaussWidth = k==PCFSpectralElement::WIDTH && type == SpectralElement::GAUSSIAN;
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150 | tmp(k) = convertGaussWidth
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151 | ? sol(j) / GaussianSpectralElement::SigmaToFWHM
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152 | : sol(j);
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153 | terr(k) = convertGaussWidth
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154 | ? err(j) / GaussianSpectralElement::SigmaToFWHM
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155 | : err(j);
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156 | j++;
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157 | };
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158 | element->set(tmp);
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159 | element->setError(terr);
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160 | }
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161 | return fitter.converged();
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162 | }
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163 |
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164 |
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165 | } //# NAMESPACE CASA - END
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166 |
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