/usr/include/trilinos/Stokhos_ProductBasis.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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#ifndef STOKHOS_PRODUCTBASIS_HPP
#define STOKHOS_PRODUCTBASIS_HPP
#include "Stokhos_OrthogPolyBasis.hpp"
#include "Stokhos_ProductBasisUtils.hpp"
namespace Stokhos {
/*!
* \brief Abstract base class for multivariate orthogonal polynomials
* generated from tensor products of univariate polynomials.
*/
/*!
* * The multivariate polynomials are given by
* \f[
* \Psi_i(x) = \psi_{i_1}(x_1)\dots\psi_{i_d}(x_d)
* \f]
* where \f$d\f$ is the dimension of the basis. This class adds methods
* for indexing the multivariate polynomial and getting the coordinate bases.
*/
template <typename ordinal_type, typename value_type>
class ProductBasis :
public virtual OrthogPolyBasis<ordinal_type, value_type> {
public:
//! Constructor
ProductBasis() {};
//! Destructor
virtual ~ProductBasis() {};
//! Get orders of each coordinate polynomial given an index \c i
/*!
* The returned array is of size \f$d\f$, where \f$d\f$ is the dimension of
* the basis, and entry \f$l\f$ is given by \f$i_l\f$ where
* \f$\Psi_i(x) = \psi_{i_1}(x_1)\dots\psi_{i_d}(x_d)\f$.
*/
virtual const MultiIndex<ordinal_type>& term(ordinal_type i) const = 0;
//! Get index of the multivariate polynomial given orders of each coordinate
/*!
* Given the array \c term storing \f$i_1,\dots,\i_d\f$, returns the index
* \f$i\f$ such that \f$\Psi_i(x) = \psi_{i_1}(x_1)\dots\psi_{i_d}(x_d)\f$.
*/
virtual ordinal_type index(const MultiIndex<ordinal_type>& term) const = 0;
//! Return array of coordinate bases
/*!
* Array is of size dimension().
*/
virtual
Teuchos::Array< Teuchos::RCP<const OneDOrthogPolyBasis<ordinal_type,
value_type> > >
getCoordinateBases() const = 0;
//! Return maximum order allowable for each coordinate basis
virtual MultiIndex<ordinal_type> getMaxOrders() const = 0;
private:
// Prohibit copying
ProductBasis(const ProductBasis&);
// Prohibit Assignment
ProductBasis& operator=(const ProductBasis& b);
}; // class ProductBasis
} // Namespace Stokhos
#endif // STOKHOS_PRODUCTBASIS
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