/usr/include/trilinos/Stokhos_HermiteBasisImp.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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// $Source$
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// Stokhos Package
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template <typename ordinal_type, typename value_type>
Stokhos::HermiteBasis<ordinal_type,value_type>::
HermiteBasis(ordinal_type p, bool normalize, Stokhos::GrowthPolicy growth) :
RecurrenceBasis<ordinal_type,value_type>("Hermite", p, normalize, growth)
{
this->setup();
#ifdef HAVE_STOKHOS_DAKOTA
this->setSparseGridGrowthRule(webbur::level_to_order_linear_wn);
#endif
}
template <typename ordinal_type, typename value_type>
Stokhos::HermiteBasis<ordinal_type, value_type>::
HermiteBasis(ordinal_type p, const HermiteBasis& basis) :
RecurrenceBasis<ordinal_type, value_type>(p, basis)
{
// Compute coefficients in 3-term recurrsion
computeRecurrenceCoefficients(p+1, this->alpha, this->beta, this->delta,
this->gamma);
// Setup rest of recurrence basis
this->setup();
}
template <typename ordinal_type, typename value_type>
Stokhos::HermiteBasis<ordinal_type,value_type>::
~HermiteBasis()
{
}
template <typename ordinal_type, typename value_type>
bool
Stokhos::HermiteBasis<ordinal_type,value_type>::
computeRecurrenceCoefficients(ordinal_type n,
Teuchos::Array<value_type>& alpha,
Teuchos::Array<value_type>& beta,
Teuchos::Array<value_type>& delta,
Teuchos::Array<value_type>& gamma) const
{
// Hermite 3 term recurrence:
// He_0(x) = 1
// He_1(x) = x
// He_i(x) = x*He_{i-1}(x) - (i-1)*He_{i-2}(x), i=2,3,...
alpha[0] = 0.0;
beta[0] = 1.0;
delta[0] = 1.0;
gamma[0] = 1.0;
for (ordinal_type i=1; i<n; i++) {
alpha[i] = 0.0;
beta[i] = value_type(i);
delta[i] = 1.0;
gamma[i] = 1.0;
}
return false;
}
template <typename ordinal_type, typename value_type>
Teuchos::RCP<Stokhos::OneDOrthogPolyBasis<ordinal_type,value_type> >
Stokhos::HermiteBasis<ordinal_type,value_type>::
cloneWithOrder(ordinal_type p) const
{
return
Teuchos::rcp(new Stokhos::HermiteBasis<ordinal_type,value_type>(p,*this));
}
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