Stokhos_SmolyakBasis.hpp

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#ifndef STOKHOS_SMOLYAK_BASIS_HPP
#define STOKHOS_SMOLYAK_BASIS_HPP

#include <map>

#include "Teuchos_RCP.hpp"

#include "Stokhos_ProductBasis.hpp"
#include "Stokhos_OneDOrthogPolyBasis.hpp"
#include "Stokhos_ProductBasisUtils.hpp"

namespace Stokhos {

  template <typename ordinal_type, typename value_type,
      typename coeff_compare_type = 
      TotalOrderLess<MultiIndex<ordinal_type> > >
  class SmolyakBasis : 
    public ProductBasis<ordinal_type,value_type> {
  public:


    template <typename index_set_type>
    SmolyakBasis(
      const Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type,
 value_type> > >& bases,
      const index_set_type& index_set,
      const value_type& sparse_tol = 1.0e-12,
      const coeff_compare_type& coeff_compare = coeff_compare_type());

    virtual ~SmolyakBasis();



    ordinal_type order() const;

    ordinal_type dimension() const;

    virtual ordinal_type size() const;


    virtual const Teuchos::Array<value_type>& norm_squared() const;

    virtual const value_type& norm_squared(ordinal_type i) const;


    virtual 
    Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> > 
    computeTripleProductTensor() const;

    virtual 
    Teuchos::RCP< Stokhos::Sparse3Tensor<ordinal_type, value_type> > 
    computeLinearTripleProductTensor() const;

    virtual value_type evaluateZero(ordinal_type i) const;


    virtual void evaluateBases(
    const Teuchos::ArrayView<const value_type>& point,
      Teuchos::Array<value_type>& basis_vals) const;

    virtual void print(std::ostream& os) const;

    virtual const std::string& getName() const;





    virtual const MultiIndex<ordinal_type>& term(ordinal_type i) const;


    virtual ordinal_type index(const MultiIndex<ordinal_type>& term) const;


    Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type, 
                 value_type> > > 
    getCoordinateBases() const;

    virtual MultiIndex<ordinal_type> getMaxOrders() const;


    typedef MultiIndex<ordinal_type> coeff_type;
    typedef TensorProductBasis<ordinal_type,value_type,
             LexographicLess<coeff_type> 
             > tensor_product_basis_type;

    ordinal_type getNumSmolyakTerms() const { return tp_bases.size(); }

    Teuchos::RCP<const tensor_product_basis_type> 
    getTensorProductBasis(ordinal_type i) const { return tp_bases[i]; }

    ordinal_type getSmolyakCoefficient(ordinal_type i) const {
      return smolyak_coeffs[i];
    }

  private:

    // Prohibit copying
    SmolyakBasis(const SmolyakBasis&);

    // Prohibit Assignment
    SmolyakBasis& operator=(const SmolyakBasis& b);
    
  protected:

    typedef std::map<coeff_type,ordinal_type,coeff_compare_type> coeff_set_type;
    typedef Teuchos::Array<coeff_type> coeff_map_type;
    typedef MultiIndex<ordinal_type> multiindex_type;

    std::string name;

    ordinal_type p;

    ordinal_type d;

    ordinal_type sz;

    Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type, value_type> > > bases;

    value_type sparse_tol;

    coeff_type max_orders;

    coeff_set_type basis_set;

    coeff_map_type basis_map;

    Teuchos::Array<ordinal_type> smolyak_coeffs;

    Teuchos::Array<value_type> norms;

    mutable Teuchos::Array< Teuchos::Array<value_type> > basis_eval_tmp;

    Teuchos::Array< Teuchos::RCP< tensor_product_basis_type > > tp_bases;

    template <typename tp_predicate_type>
    struct SmolyakPredicate {
      Teuchos::Array<tp_predicate_type> tp_preds;

      // Predicate is true if any tensor-product predicate is true
      bool operator() (const coeff_type& term) const { 
  for (ordinal_type i=0; i<tp_preds.size(); ++i)
    if (tp_preds[i](term))
      return true;
  return false; 
      }

    };

    SmolyakPredicate< TensorProductPredicate<ordinal_type> > sm_pred;

  }; // class SmolyakBasis

} // Namespace Stokhos

// Include template definitions
#include "Stokhos_SmolyakBasisImp.hpp"

#endif