Rythmos_CubicSplineInterpolator_decl.hpp

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//                           Rythmos Package
//                 Copyright (2006) Sandia Corporation
//
// Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
// license for use of this work by or on behalf of the U.S. Government.
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// This library is free software; you can redistribute it and/or modify
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#ifndef Rythmos_CUBIC_SPLINE_INTERPOLATOR_DECL_H
#define Rythmos_CUBIC_SPLINE_INTERPOLATOR_DECL_H
 
#include "Rythmos_InterpolatorBase.hpp"
#include "Rythmos_Types.hpp"
 
 
namespace Rythmos {
 
using Teuchos::Ptr;
 
template<class Scalar>
class CubicSplineCoeff {
  public:
    Array<Scalar> t;
    Array<RCP<Thyra::VectorBase<Scalar> > > a;
    Array<RCP<Thyra::VectorBase<Scalar> > > b;
    Array<RCP<Thyra::VectorBase<Scalar> > > c;
    Array<RCP<Thyra::VectorBase<Scalar> > > d;
};
 

template<class Scalar>
class CubicSplineInterpolator : virtual public InterpolatorBase<Scalar>
{
public:

  ~CubicSplineInterpolator() {};

  CubicSplineInterpolator();

  bool supportsCloning() const;

  RCP<InterpolatorBase<Scalar> > cloneInterpolator() const;

  void setNodes(
    const RCP<const typename DataStore<Scalar>::DataStoreVector_t> & nodes
    );

  void interpolate(
    const Array<Scalar> &t_values,
    typename DataStore<Scalar>::DataStoreVector_t *data_out
    ) const;

  int order() const; 

  std::string description() const;

  void describe(
    FancyOStream &out,
    const Teuchos::EVerbosityLevel verbLevel
    ) const;

  void setParameterList(RCP<ParameterList> const& paramList);

  RCP<ParameterList> getNonconstParameterList();

  RCP<ParameterList> unsetParameterList();

  RCP<const Teuchos::ParameterList> getValidParameters() const;
 
private:
 
 
  RCP<const typename DataStore<Scalar>::DataStoreVector_t> nodes_;
#ifdef HAVE_RYTHMOS_DEBUG
  RCP<typename DataStore<Scalar>::DataStoreVector_t> nodes_copy_;
#endif // HAVE_RYTHMOS_DEBUG
 
  mutable CubicSplineCoeff<Scalar> splineCoeff_;
  mutable bool splineCoeffComputed_;
  bool nodesSet_;
 
  RCP<ParameterList> parameterList_;
 
};
 
// non-member constructor
template<class Scalar>
RCP<CubicSplineInterpolator<Scalar> > cubicSplineInterpolator();
 
// Non-member helper function
// Algorithm from "CRC Standard Mathematical Tables and Formulae" by Daniel
// Zwillinger, 31st Edition, pg 738, natural cubic splines
// input:  n, {x_0, x_1, ..., x_n}
//         a_0 = f(x_0), a_1 = f(x_1), ... a_n = f(x_n)
// output: {a_j,b_j,c_j,d_j}, j=0..n-1
template<class Scalar>
void computeCubicSplineCoeff(
    const typename DataStore<Scalar>::DataStoreVector_t & data,
    const Ptr<CubicSplineCoeff<Scalar> > & coeffPtr
    );
 
template<class Scalar>
void validateCubicSplineCoeff(const CubicSplineCoeff<Scalar>& coeff);
 
// Non-member helper function
// Evaluate cubic spline 
template<class Scalar>
void evaluateCubicSpline(
    const CubicSplineCoeff<Scalar>& coeff,
    Teuchos::Ordinal j, 
    const Scalar& t,
    const Ptr<Thyra::VectorBase<Scalar> >& S,
    const Ptr<Thyra::VectorBase<Scalar> >& Sp = Teuchos::null, 
    const Ptr<Thyra::VectorBase<Scalar> >& Spp = Teuchos::null
    );
 
 
} // namespace Rythmos
 
 
#endif // Rythmos_CUBIC_SPLINE_INTERPOLATOR_DECL_H