1 | //# Lorentzian1D2.cc: One dimensional Lorentzian class specialized for AutoDiff
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2 | //# Copyright (C) 2001,2002
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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: Lorentzian1D2.tcc 20253 2008-02-23 15:15:00Z gervandiepen $
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27 |
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28 | //# Includes
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29 | #include "Lorentzian1D.h"
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30 | #include <casa/BasicMath/Math.h>
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31 |
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32 | namespace casa { //# NAMESPACE CASA - BEGIN
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33 |
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34 | //# Constructors
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35 |
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36 | //# Operators
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37 | template<class T>
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38 | AutoDiff<T> Lorentzian1D<AutoDiff<T> >::
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39 | eval(typename Function<AutoDiff<T> >::FunctionArg x) const {
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40 | AutoDiff<T> tmp;
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41 | if (this->param_p[this->HEIGHT].nDerivatives() > 0) tmp = this->param_p[this->HEIGHT];
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42 | else if (this->param_p[this->CENTER].nDerivatives() > 0) tmp = this->param_p[this->CENTER];
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43 | else if (this->param_p[this->WIDTH].nDerivatives() > 0) tmp = this->param_p[this->WIDTH];
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44 | T x_norm = (x[0] - this->param_p[this->CENTER].value())/
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45 | this->param_p[this->WIDTH].value()/this->fwhm2int.value();
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46 | T exponential = T(1.0)/(T(1.0) + x_norm*x_norm);
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47 | // function value
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48 | tmp.value() = this->param_p[this->HEIGHT].value() * exponential;
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49 | // get derivatives (assuming either all or none)
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50 | if (tmp.nDerivatives()>0) {
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51 | for (uInt j=0; j<tmp.nDerivatives(); j++) tmp.deriv(j) = 0.0;
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52 | // derivative wrt height
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53 | T dev = exponential;
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54 | if (this->param_p.mask(this->HEIGHT)) tmp.deriv(this->HEIGHT) = dev;
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55 | // derivative wrt center
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56 | T dev2 = this->param_p[this->HEIGHT].value()*dev*dev*T(2.0)*x_norm/
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57 | this->param_p[this->WIDTH].value();
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58 | if (this->param_p.mask(this->CENTER)) tmp.deriv(this->CENTER) = dev2/this->fwhm2int.value();
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59 | // derivative wrt width
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60 | if (this->param_p.mask(this->WIDTH)) tmp.deriv(this->WIDTH) = dev2*x_norm;
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61 | }
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62 | return tmp;
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63 | }
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64 |
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65 | //# Member functions
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66 |
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67 | } //# NAMESPACE CASA - END
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68 |
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