LogTransformedPolynomialSpectralElement.h

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//# SpectralElement.h: Describes (a set of related) spectral lines
//# Copyright (C) 2001,2003,2004
//# Associated Universities, Inc. Washington DC, USA.
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//# $Id: SpectralElement.h 20652 2009-07-06 05:04:32Z Malte.Marquarding $

#ifndef COMPONENTS_LOGTRANSFORMEDPOLYNOMIALSPECTRALELEMENT_H
#define COMPONENTS_LOGTRANSFORMEDPOLYNOMIALSPECTRALELEMENT_H

#include <components/SpectralComponents/PolynomialSpectralElement.h>

namespace casa { //# NAMESPACE CASA - BEGIN

// <summary>
// Describes the often used for determining spectral index plus higher order terms:
// y = log (S_x) = ln(c_0) + c_1*ln(x) + c_2*ln(x)**2 + c_3*ln(x)**3 + ...
// where c_1 is the traditional spectral index (alpha).
// </summary>

// <use visibility=export>

// <reviewed reviewer="" date="yyyy/mm/dd" tests="tSpectralFit" demos="">
// </reviewed>

// <prerequisite>
//   <li> <linkto module=SpectralElement>SpectralElement</linkto> module
// </prerequisite>
//
// <etymology>
// From power law, logarithm, and polynomial and spectral line and element
// </etymology>
//
// <synopsis>
// Describes a function that can be used to fit for spectral index and higher order terms.
// The implementation simply subclasses PolynomialSpectralElement since that's all this function
// really is, whicht the exception the the lhs is ln(y) not y. This means it's the fitter
// configurator's responsibility to pass in the ln of the actual ordinate values and the ln
// of the abscissa values, not the ordinate and abscissa values themselves. Essentially, this
// class differs from PolynomialSpectralElement in its type and its stream operator.

// </synopsis>
//
// <example>
// </example>
//
// <motivation>
// To have a spectral element representing a spectral index function.
// </motivation>


class LogTransformedPolynomialSpectralElement: public PolynomialSpectralElement {
public:

        // Constructor. The n coefficients c_i to be solved for are
        // c_0 + c_1 * ln(x) + c_2 * ln(x)**2 + c_3 * ln(x)**3 + ... c_(n-1)*ln(x)**(n-1)
        // where x = nu/nu0. <src> order</order> is the polynomial, so the actual
        // function will have order+1 coefficients
        explicit LogTransformedPolynomialSpectralElement(uInt order);

        // Construct with the given parameters. See above constructor for
        // order in which the parameters should be supplied.
        LogTransformedPolynomialSpectralElement(const Vector<Double> &param);

        // Copy constructor (deep copy)
        LogTransformedPolynomialSpectralElement(const LogTransformedPolynomialSpectralElement &other);

        ~LogTransformedPolynomialSpectralElement();

        LogTransformedPolynomialSpectralElement &operator=(
                const LogTransformedPolynomialSpectralElement& other
        );

        SpectralElement* clone() const;
};
ostream &operator<<(
        ostream &os, const LogTransformedPolynomialSpectralElement &elem
);


} //# NAMESPACE CASA - END

#endif