/usr/include/trilinos/Stokhos_DerivOrthogPolyExpansion.hpp is in libtrilinos-stokhos-dev 12.10.1-3.
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// $Source$
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#ifndef STOKHOS_DERIVORTHOGPOLYEXPANSION_HPP
#define STOKHOS_DERIVORTHOGPOLYEXPANSION_HPP
#include "Stokhos_OrthogPolyExpansion.hpp"
#include "Stokhos_DerivBasis.hpp"
#include "Teuchos_RCP.hpp"
#include "Teuchos_Array.hpp"
#include "Teuchos_SerialDenseMatrix.hpp"
#include "Teuchos_SerialDenseVector.hpp"
#include "Teuchos_LAPACK.hpp"
namespace Stokhos {
//! Othogonal polynomial expansions based on derivative calculations
template <typename ordinal_type, typename value_type>
class DerivOrthogPolyExpansion : public OrthogPolyExpansion<ordinal_type, value_type> {
public:
typedef Stokhos::StandardStorage<ordinal_type, value_type> node_type;
//! Constructor
DerivOrthogPolyExpansion(
const Teuchos::RCP<const DerivBasis<ordinal_type, value_type> >& basis,
const Teuchos::RCP<const Teuchos::SerialDenseMatrix<ordinal_type, value_type> >& Bij,
const Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> >& Cijk,
const Teuchos::RCP<const Stokhos::Dense3Tensor<ordinal_type, value_type> >& Dijk);
//! Destructor
virtual ~DerivOrthogPolyExpansion() {}
//! Get expansion size
ordinal_type size() const { return sz; }
//! Get basis
Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> >
getBasis() const {return basis; }
//! Get triple product
virtual Teuchos::RCP<const Sparse3Tensor<ordinal_type, value_type> >
getTripleProduct() const { return Cijk; }
// Operations
void unaryMinus(
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void plusEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& x);
void minusEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& x);
void timesEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& x);
void divideEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& x);
void plusEqual(
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
void minusEqual(
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
void timesEqual(
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
void divideEqual(
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
void plus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void plus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void plus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void minus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void minus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void minus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void times(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void times(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void times(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void divide(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void divide(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void divide(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void exp(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void log(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void log10(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void sqrt(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void cbrt(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void pow(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void pow(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void pow(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void sincos(OrthogPolyApprox<ordinal_type, value_type, node_type>& s,
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void cos(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void sin(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void tan(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void sinhcosh(OrthogPolyApprox<ordinal_type, value_type, node_type>& s,
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void cosh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void sinh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void tanh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
template <typename OpT>
void quad(const OpT& quad_func,
OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void acos(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void asin(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void atan(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
// void atan2(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
// const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
// const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
// void atan2(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
// const T& a,
// const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
// void atan2(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
// const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
// const T& b);
void acosh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void asinh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void atanh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void abs(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void fabs(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
void max(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void max(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void max(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void min(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void min(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const value_type& a,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
void min(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
const value_type& b);
void derivative(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
private:
// Prohibit copying
DerivOrthogPolyExpansion(const DerivOrthogPolyExpansion&);
// Prohibit Assignment
DerivOrthogPolyExpansion& operator=(const DerivOrthogPolyExpansion& b);
protected:
//! Basis
Teuchos::RCP< const Stokhos::DerivBasis<ordinal_type, value_type> > basis;
//! Derivative double-product tensor
Teuchos::RCP<const Teuchos::SerialDenseMatrix<ordinal_type, value_type> > Bij;
//! Triple-product tensor
Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> > Cijk;
//! Derivative Triple-product tensor
Teuchos::RCP<const Stokhos::Dense3Tensor<ordinal_type, value_type> > Dijk;
//! Workspace size
ordinal_type sz;
//! Matrix
Teuchos::SerialDenseMatrix<ordinal_type, value_type> A;
//! RHS
Teuchos::SerialDenseMatrix<ordinal_type, value_type> B;
//! Pivot array
Teuchos::Array<ordinal_type> piv;
//! LAPACK wrappers
Teuchos::LAPACK<ordinal_type,value_type> lapack;
protected:
//! Solve linear system
ordinal_type solve(ordinal_type s, ordinal_type nrhs);
struct acos_quad_func {
value_type operator() (const value_type& a) const {
return std::acos(a);
}
};
struct asin_quad_func {
value_type operator() (const value_type& a) const {
return std::asin(a);
}
};
struct atan_quad_func {
value_type operator() (const value_type& a) const {
return std::atan(a);
}
};
struct acosh_quad_func {
value_type operator() (const value_type & a) const {
return std::log(a+std::sqrt(a*a-value_type(1.0)));
}
};
struct asinh_quad_func {
value_type operator() (const value_type& a) const {
return std::log(a+std::sqrt(a*a+value_type(1.0)));
}
};
struct atanh_quad_func {
value_type operator() (const value_type& a) const {
return 0.5*std::log((value_type(1.0)+a)/(value_type(1.0)-a));
}
};
}; // class DerivOrthogPolyExpansion
} // namespace Stokhos
#include "Stokhos_DerivOrthogPolyExpansionImp.hpp"
#endif // STOKHOS_DERIVORTHOGPOLYEXPANSION_HPP
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