/usr/include/trilinos/Stokhos_RysBasis.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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// Stokhos Package
// Copyright (2009) Sandia Corporation
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#ifndef STOKHOS_RYSBASIS_HPP
#define STOKHOS_RYSBASIS_HPP
#include "Stokhos_DiscretizedStieltjesBasis.hpp"
namespace Stokhos {
//! Rys polynomial basis
/*!
* Rys polynomials are polynomials orthogonal with respect to the weight
* function
* \f[
* w(x) = e^{\frac{-x^2}{2}}
* \f]
* defined on the interval \f$[-c,c]\f$, for a given choice of \f$c\f$. The
* corresponding density \f$\rho(x)\f$ is obtained by scaling \f$w(x)\f$ to
* unit probability.
*
* The coefficients of the corresponding three-term recursion are generated
* using the Discretized Stieltjes procedure implemented by
* Stokhos::DiscretizedStieltjesBasis.
*/
template <typename ordinal_type, typename value_type>
class RysBasis :
public DiscretizedStieltjesBasis<ordinal_type, value_type> {
public:
//! Constructor
/*!
* \param p order of the basis
* \param c defines domain of support of weight function
* \param normalize whether polynomials should be given unit norm
*/
RysBasis(ordinal_type p, value_type c, bool normalize,
GrowthPolicy growth = SLOW_GROWTH) :
DiscretizedStieltjesBasis<ordinal_type,value_type>(
"Rys", p, rysWeight, -c, c, normalize, growth) {}
//! Destructor
~RysBasis() {}
//! The Rys weight function
static value_type rysWeight(const value_type& x) {
return std::exp(-x*x/2.0);
}
/*!
* \brief Clone this object with the option of building a higher order
* basis.
*/
/*!
* This method is following the Prototype pattern (see Design Pattern's textbook).
* The slight variation is that it allows the order of the polynomial to be modified,
* otherwise an exact copy is formed. The use case for this is creating basis functions
* for column indices in a spatially varying adaptive refinement context.
*/
virtual Teuchos::RCP<OneDOrthogPolyBasis<ordinal_type,value_type> > cloneWithOrder(ordinal_type p) const
{ return Teuchos::rcp(new RysBasis<ordinal_type,value_type>(p,*this)); }
protected:
//! Copy constructor with specified order
RysBasis(ordinal_type p, const RysBasis& basis) :
DiscretizedStieltjesBasis<ordinal_type,value_type>(p, basis) {}
private:
// Prohibit copying
RysBasis(const RysBasis&);
// Prohibit Assignment
RysBasis& operator=(const RysBasis& b);
}; // class RysBasis
} // Namespace Stokhos
#endif
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