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Intrepid2
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Free functions, callable from device code, that implement various polynomials useful in basis definitions. More...
Go to the source code of this file.
Functions | |
| template<typename OutputValueViewType , typename ScalarType > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::legendreValues (OutputValueViewType outputValues, Intrepid2::ordinal_type n, ScalarType x) |
| Evaluate Legendre polynomials up to order n at a specified point. More... | |
| template<typename OutputValueViewType , typename ScalarType > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::legendreDerivativeValues (OutputValueViewType outputValues, const OutputValueViewType legendreValues, Intrepid2::ordinal_type n, ScalarType x) |
| Evaluate first derivatives of Legendre polynomials up to order n at a specified point, based on provided container with the values of the Legendre polynomials. More... | |
| template<typename OutputValueViewType , typename PointScalarType > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::legendreDerivativeValues (OutputValueViewType outputValues, Intrepid2::ordinal_type n, PointScalarType x, Intrepid2::ordinal_type dn) |
| Evaluate the dnth derivative of Legendre polynomials up to order n at a specified point. More... | |
| template<typename OutputValueViewType , typename ScalarType > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedLegendreValues (OutputValueViewType outputValues, Intrepid2::ordinal_type n, ScalarType x) |
| Evaluate shifted Legendre polynomials up to order n at a specified point in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledLegendreValues (OutputValueViewType outputValues, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| Evaluate shifted, scaled Legendre polynomials up to order n at a specified point in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledIntegratedLegendreValues (OutputValueViewType outputValues, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| Integrated Legendre polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledIntegratedLegendreValues (OutputValueViewType outputValues, const OutputValueViewType shiftedScaledLegendreValues, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| Integrated Legendre polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledIntegratedLegendreValues_dx (OutputValueViewType outputValues, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| x derivative of shifted, scaled integrated Legendre polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledIntegratedLegendreValues_dt (OutputValueViewType outputValues, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| t derivative of shifted, scaled integrated Legendre polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledIntegratedLegendreValues_dt (OutputValueViewType outputValues, const OutputValueViewType shiftedScaledLegendreValues, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| t derivative of shifted, scaled integrated Legendre polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::shiftedScaledJacobiValues (OutputValueViewType outputValues, double alpha, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| Shifted, scaled Jacobi values, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::integratedJacobiValues (OutputValueViewType outputValues, const OutputValueViewType jacobiValues, double alpha, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| Integrated Jacobi values, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::integratedJacobiValues (OutputValueViewType outputValues, double alpha, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| Integrated Jacobi values, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::integratedJacobiValues_dx (OutputValueViewType outputValues, double alpha, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| x derivative of integrated Jacobi polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::integratedJacobiValues_dt (OutputValueViewType outputValues, const OutputValueViewType jacobiValues, double alpha, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| t derivative of shifted, scaled integrated Jacobi polynomials L_i for i>=1, defined for x in [0,1]. More... | |
| template<typename OutputValueViewType , typename ScalarType , typename ScalarTypeForScaling > | |
| KOKKOS_INLINE_FUNCTION void | Intrepid2::Polynomials::integratedJacobiValues_dt (OutputValueViewType outputValues, double alpha, Intrepid2::ordinal_type n, ScalarType x, ScalarTypeForScaling t) |
| t derivative of shifted, scaled integrated Jacobi polynomials L_i for i>=1, defined for x in [0,1]. More... | |
Free functions, callable from device code, that implement various polynomials useful in basis definitions.
Definition in file Intrepid2_Polynomials.hpp.
1.8.5