SPolynomial.h

Go to the documentation of this file.

// # SPolynomial.h: A one dimensional scaled polynomial class
// # Copyright (C) 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: casa-feedback@nrao.edu.
// #        Postal address: AIPS++ Project Office
// #                        National Radio Astronomy Observatory
// #                        520 Edgemont Road
// #                        Charlottesville, VA 22903-2475 USA
 
#ifndef SCIMATH_SPOLYNOMIAL_H
#define SCIMATH_SPOLYNOMIAL_H
 
// # Includes
#include <casacore/casa/aips.h>
#include <casacore/scimath/Functionals/SPolynomialParam.h>
#include <casacore/scimath/Functionals/Function.h>
#include <casacore/scimath/Mathematics/AutoDiff.h>
#include <casacore/scimath/Mathematics/AutoDiffMath.h>
 
namespace casacore {  // # NAMESPACE CASACORE - BEGIN
 
// # Forward declarations
 
// <summary> A one dimensional scaled polynomial class
// </summary>
 
// <reviewed reviewer="" date="" tests="tSPolynomial"
// demos="">
// </reviewed>
 
// <prerequisite>
//   <li> <linkto class=Function>Function</linkto>
// </prerequisite>
//
// <synopsis>
// A SPolynomial<T> contains a set of coefficients; its fundamental operations
// is evaluating itself at some "x". The number of coefficients is the order
// of the polynomial plus one, plus an additional 3 as height, center, width.
//
// </synopsis>
//
// <example>
// <srcblock>
//  SPolynomial<Float> pf(3); // Third order polynomial - coeffs 0 by default
//  pf.setCoefficient(1, 1.0);
//  pf[5] = 2.0;
//  pf.setCoefficient(3, 3.0);  // 3x^3 + 2x^2 + x
//  pf(2); // == 34
// </srcblock>
// </example>
 
// <templating arg=T>
//  <li> T should have standard numerical operators. Current
//  implementation only tested for real types (and their AutoDiffs).
// </templating>
 
// <thrown>
//    <li> Assertion in debug mode if attempt is made to address incorrect
//      coefficients
// </thrown>
 
// <todo asof="2002/05/20">
//   <li> Nothing I know of
// </todo>
 
template <class T>
class SPolynomial : public SPolynomialParam<T> {
 public:
  // # Enumerations
 
  // # Constructors
  //  Constructs a zero'th order polynomial, with a coeficcient of 0.0.
  SPolynomial() : SPolynomialParam<T>() {}
  // Makes a polynomial of the given order, with all coeficcients set to
  // zero, and height, center, width to 1,0,1.
  explicit SPolynomial(uInt order) : SPolynomialParam<T>(order) {}
  // Copy constructor/assignment (deep copy)
  // <group>
  SPolynomial(const SPolynomial<T> &other) : SPolynomialParam<T>(other) {}
  template <class W>
  SPolynomial(const SPolynomial<W> &other) : SPolynomialParam<T>(other) {}
  SPolynomial<T> &operator=(const SPolynomial<T> &other) {
    SPolynomialParam<T>::operator=(other);
    return *this;
  }
  // </group>
 
  // Destructor
  virtual ~SPolynomial() {}
 
  // # Operators
  //  Evaluate the polynomial at <src>x</src>.
  virtual T eval(typename Function<T>::FunctionArg x) const;
 
  // # Member functions
 
  // Return a copy of this object from the heap. The caller is responsible for
  // deleting the pointer.
  // <group>
  virtual Function<T> *clone() const { return new SPolynomial<T>(*this); }
  virtual Function<typename FunctionTraits<T>::DiffType> *cloneAD() const {
    return new SPolynomial<typename FunctionTraits<T>::DiffType>(*this);
  }
  virtual Function<typename FunctionTraits<T>::BaseType> *cloneNonAD() const {
    return new SPolynomial<typename FunctionTraits<T>::BaseType>(*this);
  }
  // </group>
 
  // # Make members of parent classes known.
 protected:
  using SPolynomialParam<T>::param_p;
 
 public:
  using SPolynomialParam<T>::nparameters;
  using SPolynomialParam<T>::mask;
};
 
}  // namespace casacore
 
#ifndef CASACORE_NO_AUTO_TEMPLATES
#include <casacore/scimath/Functionals/SPolynomial.tcc>
#endif  // # CASACORE_NO_AUTO_TEMPLATES
#endif