CompoundFunction.h

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//# CompoundFunction.h: Sum of a collection of Functions
//# Copyright (C) 2001,2002,2005
//# Associated Universities, Inc. Washington DC, USA.
//#
//# This library is free software; you can redistribute it and/or modify it
//# under the terms of the GNU Library General Public License as published by
//# the Free Software Foundation; either version 2 of the License, or (at your
//# option) any later version.
//#
//# This library is distributed in the hope that it will be useful, but WITHOUT
//# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
//# FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Library General Public
//# License for more details.
//#
//# You should have received a copy of the GNU Library General Public License
//# along with this library; if not, write to the Free Software Foundation,
//# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
//#
//# Correspondence concerning AIPS++ should be addressed as follows:
//#        Internet email: aips2-request@nrao.edu.
//#        Postal address: AIPS++ Project Office
//#                        National Radio Astronomy Observatory
//#                        520 Edgemont Road
//#                        Charlottesville, VA 22903-2475 USA
//#
//#
//# $Id: CompoundFunction.h 21024 2011-03-01 11:46:18Z gervandiepen $

#ifndef SCIMATH_COMPOUNDFUNCTION_H
#define SCIMATH_COMPOUNDFUNCTION_H

//# Includes
#include <casa/aips.h>
#include <scimath/Functionals/CompoundParam.h>
#include <scimath/Functionals/Function.h>
#include <scimath/Mathematics/AutoDiff.h>
#include <scimath/Mathematics/AutoDiffMath.h>

namespace casa { //# NAMESPACE CASA - BEGIN

//# Forward declarations

// <summary>
// Sum of a collection of Functions which behaves as one Function object.
// </summary>

// <use visibility=export>

// <reviewed reviewer="tcornwel" date="1996/02/22" tests="tCompoundFunction" 
// demos="">
// </reviewed>

// <prerequisite>
//   <li> <linkto class="Function">Function</linkto> class
// </prerequisite>
//
// <synopsis>
// This class takes an arbitrary number of Function objects, and generates
// a new, single function object. The parameters of the compound object
// are the union of all the parameters in the input objects.
//
// When CompoundFunction is evaluated, the result is the sum of 
// all the individual function values.
//
// Member functions are added with the <src>addFunction()</src> method.
//
// In general the interaction with the function parameters should be through
// the overall function parameters (i.e. through the parameters of the
// <src>CompoundFunction</src>). If for any reason you want to set the
// parameters of an individual function (see e.g. the example in the
// <linkto class=Fit2D>Fit2D</linkto>), call <src>consolidate()</src> before
// abd after the actual setting.
//
// <note role=tip>
// Check <linkto class=CompoundFunction>CombiFunction</linkto> class
// for a simple linear combination of function objects </note>
// </synopsis>
//
// <example>
// Suppose for some reason we wanted the sum of <src>x^2</src> plus a gaussian.
// We could form it as follows:
// <srcblock>
//    Polynomial<Float> x2(2);
//    x[2] = 1.0;                                        // x^2
//    Gaussian1D<Float> gauss(1.0, 0.0, 1.0);          // e^{-x^2}
//    CompoundParam<Float> sum;                        // sum == 0.0
//    sum.addFunction(x2);                               // sum == x^2
//    sum.addFunction(gauss);                            // sum == x^2+e^{-x^2}
//    sum(2.0);                                          // == 4 + e^-4
//    CompoundParam[0] = 2.0;                          // sum ==2x^2+e^{-x^2}
//    sum(2.0);                                          // == 8 + e^-4
// </srcblock>
// </example>

// <templating arg=T>
//  <li> T should have standard numerical operators and exp() function. Current
//      implementation only tested for real types.
//  <li> To obtain derivatives, the derivatives should be defined.
// </templating>

// <thrown>
// <li> AipsError if dimensions of functions added different
// </thrown>

// <motivation>
// This class was created to allow a non-linear least squares fitter to fit a 
// (potentially) arbitrary number of functions (typically Gaussians).
// </motivation>
//
// <todo asof="2001/10/22">
//   <li> Nothing I know of
// </todo>

template <class T> class CompoundFunction : public CompoundParam<T>
{
public:
  //# Constructors
  // The default constructor -- no functions, no parameters, nothing, the
  // function operator returns a 0.
  CompoundFunction() : CompoundParam<T>() {}
  // Make this object a (deep) copy of other. If parameters have been set
  // without an intervening calculation, a <src>consolidate()</src> could
  // be necessary on <em>other</em> first.
  // <group>
  CompoundFunction(const CompoundFunction<T> &other) :
    CompoundParam<T>(other) {}
  CompoundFunction(const CompoundFunction<T> &other, Bool) :
    CompoundParam<T>(other, True) {}
  template <class W>
    CompoundFunction(const CompoundFunction<W> &other) :
    CompoundParam<T>(other) {}
  template <class W>
    CompoundFunction(const CompoundFunction<W> &other, Bool) :
    CompoundParam<T>(other, True) {}
  // </group>
  // Make this object a (deep) copy of other.
  CompoundFunction<T> &operator=(const CompoundFunction<T> &other) {
    other.fromParam_p();
    CompoundParam<T>::operator=(other); return *this; }
  
  // Destructor
  virtual ~CompoundFunction() {}
  
  //# Operators
  // Evaluate the function at <src>x</src>.
  virtual T eval(typename Function<T>::FunctionArg x) const;
  
  //# Member functions
  // Consolidate the parameter settings. This could be necessary if
  // parameters have been set, and a copy constructor called. This is
  // necessary before and after the setting of <em>local</em> parameters; i.e.
  // the parameters of the individual functions.
  CompoundFunction<T> &consolidate() { fromParam_p();
    toParam_p(); return *this; }
  // Return a copy of this object from the heap. The caller is responsible for
  // deleting the pointer.
  // <group>
  virtual Function<T> *clone() const { fromParam_p();
    return new CompoundFunction<T>(*this); }
  virtual Function<typename FunctionTraits<T>::DiffType> *cloneAD() const {
    return new CompoundFunction<typename FunctionTraits<T>::DiffType>(*this); }
  virtual Function<typename FunctionTraits<T>::BaseType> *cloneNonAD() const {
    return new CompoundFunction<typename FunctionTraits<T>::BaseType>
      (*this, True); }
  // </group>
  
private:
  //# Member functions
  // Copy the local parameters from general block
  void fromParam_p() const;
  // Make the general block from local parameters
  void toParam_p();

  //# Make members of parent classes known.
protected:
  using CompoundParam<T>::parset_p;
  using CompoundParam<T>::param_p;
  using CompoundParam<T>::funpar_p;
  using CompoundParam<T>::locpar_p;
  using CompoundParam<T>::paroff_p;
  using CompoundParam<T>::functionPtr_p;
public:
  using CompoundParam<T>::nparameters;
  using CompoundParam<T>::nFunctions;
  using CompoundParam<T>::function;
};

#define CompoundFunction_PS CompoundFunction

// <summary> Partial <src>AutoDiff</src> specialization of CompoundFunction
// </summary>

// <synopsis>
// <note role=warning> The name <src>CompoundFunction_PS</src> is only
// for cxx2html documentation problems. Use
// <src>CompoundFunction</src> in your code.</note>
// </synopsis>

template <class T> class CompoundFunction_PS<AutoDiff<T> > :
public CompoundParam<AutoDiff<T> >
{
 public:
  //# Constructors
  // The default constructor -- no functions, no parameters, nothing, the
  // function operator returns a 0.
  CompoundFunction_PS() : CompoundParam<AutoDiff<T> >() {}
  // Make this object a (deep) copy of other. If parameters have been set
  // without an intervening calculation, a <src>consolidate()</src> could
  // be necessary on <em>other</em> first.
  // <group>
  CompoundFunction_PS(const CompoundFunction_PS<AutoDiff<T> > &other) :
    CompoundParam<AutoDiff<T> >(other) {}
  template <class W>
    CompoundFunction_PS(const CompoundFunction_PS<W> &other) :
    CompoundParam<AutoDiff<T> >(other) {}
  // </group>
  // Make this object a (deep) copy of other.
  CompoundFunction_PS<AutoDiff<T> > &
    operator=(const CompoundFunction_PS<AutoDiff<T> > &other) {
    fromParam_p();
    CompoundParam<AutoDiff<T> >::operator=(other); return *this; }

  // Destructor
  virtual ~CompoundFunction_PS() {}

  //# Operators
  // Evaluate the function and its derivatives at <src>x</src> <em>wrt</em>
  // to the coefficients.
  virtual AutoDiff<T>
    eval(typename Function<AutoDiff<T> >::FunctionArg x) const;
  
  //# Member functions
// Add a function to the sum. All functions must have the same 
  // <src>ndim()</src> as the first one. Returns the (zero relative) number 
  // of the function just added.
  uInt addFunction(const Function<AutoDiff<T> > &newFunction);
  // Consolidate the parameter settings. This could be necessary if
  // parameters have been set, and a copy constructor called. This is
  // necessary before and after the setting of <em>local</em> parameters; i.e.
  // the parameters of the individual functions.
  CompoundFunction_PS<AutoDiff<T> > &consolidate() { fromParam_p();
    toParam_p(); return *this; }
  // Return a copy of this object from the heap. The caller is responsible for
  // deleting the pointer.
  // <group>
  virtual Function<AutoDiff<T> > *clone() const { fromParam_p();
    return new CompoundFunction<AutoDiff<T> >(*this); }
  virtual Function<typename FunctionTraits<AutoDiff<T> >::DiffType>
    *cloneAD() const {
    return new CompoundFunction<typename FunctionTraits<AutoDiff<T> >::DiffType>
      (*this); }
  virtual Function<typename FunctionTraits<AutoDiff<T> >::BaseType>
    *cloneNonAD() const {
    return new CompoundFunction<typename FunctionTraits<AutoDiff<T> >::BaseType>
      (*this, True); }
  // </group>

private:
  //# Member functions
  // Copy the local parameters to/from general block
  void fromParam_p() const;
  // Make the general block from local parameters
  void toParam_p();

  //# Make members of parent classes known.
protected:
  using CompoundParam<AutoDiff<T> >::parset_p;
  using CompoundParam<AutoDiff<T> >::param_p;
  using CompoundParam<AutoDiff<T> >::funpar_p;
  using CompoundParam<AutoDiff<T> >::locpar_p;
  using CompoundParam<AutoDiff<T> >::paroff_p;
  using CompoundParam<AutoDiff<T> >::functionPtr_p;
public:
  using CompoundParam<AutoDiff<T> >::nparameters;
  using CompoundParam<AutoDiff<T> >::nFunctions;
  using CompoundParam<AutoDiff<T> >::function;
};

#undef CompoundFunction_PS


} //# NAMESPACE CASA - END

#ifndef CASACORE_NO_AUTO_TEMPLATES
#include <scimath/Functionals/CompoundFunction.tcc>
#include <scimath/Functionals/Compound2Function.tcc>
#endif //# CASACORE_NO_AUTO_TEMPLATES
#endif