Stokhos_PseudoSpectralOrthogPolyExpansion.hpp

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#ifndef STOKHOS_PSEUDOSPECTRAL_ORTHOG_POLY_EXPANSION_HPP
#define STOKHOS_PSEUDOSPECTRAL_ORTHOG_POLY_EXPANSION_HPP
 
#include "Stokhos_OrthogPolyExpansionBase.hpp"
#include "Stokhos_PseudoSpectralOperator.hpp"
 
#include "Teuchos_RCP.hpp"
#include "Teuchos_Array.hpp"
#include "Teuchos_SerialDenseVector.hpp"
 
namespace Stokhos {
 
  template <typename ordinal_type, typename value_type, 
      typename point_compare_type = 
      typename DefaultPointCompare<ordinal_type,value_type>::type,
      typename node_type = Stokhos::StandardStorage<ordinal_type, 
                value_type> > 
  class PseudoSpectralOrthogPolyExpansion : 
    public OrthogPolyExpansionBase<ordinal_type, value_type, node_type> {
  public:
 
    PseudoSpectralOrthogPolyExpansion(
    const Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> >& basis,
    const Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> >& Cijk,
    const Teuchos::RCP<const PseudoSpectralOperator<ordinal_type, value_type, point_compare_type> >& ps_op,
    const Teuchos::RCP<Teuchos::ParameterList>& params = Teuchos::null);
 
    virtual ~PseudoSpectralOrthogPolyExpansion() {}
 
    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 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 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 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 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);
    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 value_type& 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 value_type& 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);
 
    template <typename FuncT>
    void nary_op(const FuncT& func,
     OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
     const OrthogPolyApprox<ordinal_type, value_type, node_type>** a);
 
    template <typename ExprT1, typename ExprT2>
    value_type compute_times_coeff(ordinal_type k, const ExprT1& a, 
           const ExprT2& b) const;
 
    template <typename ExprT1, typename ExprT2>
    value_type fast_compute_times_coeff(ordinal_type k, const ExprT1& a, 
           const ExprT2& b) const;
 
  private:
 
    // Prohibit copying
    PseudoSpectralOrthogPolyExpansion(const PseudoSpectralOrthogPolyExpansion&);
 
    // Prohibit Assignment
    PseudoSpectralOrthogPolyExpansion& operator=(const PseudoSpectralOrthogPolyExpansion& b);
 
  protected:
 
    typedef typename OrthogPolyExpansionBase<ordinal_type, value_type, node_type>::Cijk_type Cijk_type;
 
    Teuchos::RCP<const PseudoSpectralOperator<ordinal_type, value_type, point_compare_type> > ps_op;
 
    bool use_quad_for_times;
 
    bool use_quad_for_division;
 
    ordinal_type sz;
 
    ordinal_type nqp;
 
    typedef Teuchos::SerialDenseVector<ordinal_type,value_type> SDV;
 
    SDV avals;
 
    SDV bvals;
 
    Teuchos::Array< Teuchos::Array< SDV > > navals;
 
    SDV fvals;
 
  public:
 
    template <typename FuncT>
    void unary_op(
      const FuncT& func,
      OrthogPolyApprox<ordinal_type, value_type, node_type>& c, 
      const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
 
    template <typename FuncT>
    void binary_op(
      const FuncT& 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);
 
    template <typename FuncT>
    void binary_op(
      const FuncT& func,
      OrthogPolyApprox<ordinal_type, value_type, node_type>& c, 
      const value_type& a, 
      const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
 
    template <typename FuncT>
    void binary_op(
      const FuncT& func,
      OrthogPolyApprox<ordinal_type, value_type, node_type>& c, 
      const OrthogPolyApprox<ordinal_type, value_type, node_type>& a, 
      const value_type& b);
 
  protected:
 
    struct times_quad_func { 
      value_type operator() (const value_type& a, const value_type& b) const { 
        return a * b; 
      } 
    };
 
    struct div_quad_func { 
      value_type operator() (const value_type& a, const value_type& b) const { 
        return a / b; 
      } 
    };
 
    struct exp_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::exp(a); 
      } 
    };
 
    struct log_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::log(a); 
      } 
    };
 
    struct log10_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::log10(a); 
      } 
    };
    
    struct sqrt_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::sqrt(a); 
      } 
    };
 
    struct cbrt_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::cbrt(a); 
      } 
    };
 
    struct pow_quad_func { 
      value_type operator() (const value_type& a, const value_type& b) const { 
        return std::pow(a,b); 
      } 
    };
 
    struct cos_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::cos(a); 
      } 
    };
 
    struct sin_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::sin(a); 
      } 
    };
 
    struct tan_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::tan(a); 
      } 
    };
 
    struct cosh_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::cosh(a); 
      } 
    };
 
    struct sinh_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::sinh(a); 
      } 
    };
 
    struct tanh_quad_func { 
      value_type operator() (const value_type& a) const { 
        return std::tanh(a); 
      } 
    };
 
    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 atan2_quad_func { 
      value_type operator() (const value_type& a, const value_type& b) const { 
        return std::atan2(a,b); 
      } 
    };
 
    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 PseudoSpectralOrthogPolyExpansion
 
} // namespace Stokhos
 
#include "Stokhos_PseudoSpectralOrthogPolyExpansionImp.hpp"
 
#endif // STOKHOS_QUADORTHOGPOLYEXPANSION_HPP