intrp::Cardinal< Dim > Class Template Reference

Interpolates by doing partial summation in each dimension using one-dimensional interpolation. More...

#include <CardinalInterpolator.hpp>

Public Member Functions
	Cardinal (const Mesh< Dim > &source_mesh, const tnsr::I< DataVector, Dim, Frame::ElementLogical > &target_points)
	Cardinal (const Mesh< Dim > &source_mesh, const tnsr::I< double, Dim, Frame::ElementLogical > &target_point)
DataVector	interpolate (const DataVector &f) const
	Interpolates the function f provided on the source_mesh to the target_points with which the interpolator was constructed.
const std::array< Matrix, Dim > &	interpolation_matrices () const
	The one-dimensional interpolation matrices used to do the interpolation.
void	pup (PUP::er &p)

Static Public Member Functions
static void	compute_zernike_b2_weights (gsl::not_null< Matrix * > weights, const Mesh< Dim > &source_mesh, const std::array< Matrix, Dim > &interpolation_matrices, size_t n_target_points)
	Logic for set_zernike_b2_weights(). Also used by IrregularInterpolant.
static void	compute_zernike_b3_weights (gsl::not_null< Matrix * > weights, const Mesh< Dim > &source_mesh, const tnsr::I< DataVector, Dim, Frame::ElementLogical > &target_points, const ylm::Spherepack &b3_ylm, size_t n_target_points)
	Logic for set_zernike_b3_weights(). Also used by IrregularInterpolant.

Friends
template<size_t LocalDim>
bool	operator== (const Cardinal< LocalDim > &lhs, const Cardinal< LocalDim > &rhs)

Detailed Description

template<size_t Dim>
class intrp::Cardinal< Dim >

Interpolates by doing partial summation in each dimension using one-dimensional interpolation.

Details

The one-dimensional matrices used to do the interpolation depend upon the Spectral::Basis used in each dimension:

• For a Chebyshev or Legendre basis, the matrices are given by Spectral::fornberg_interpolation_matrix at the quadrature points of the source_mesh. (These are equivalent to those returned by Spectral::interpolation_matrix.)
• For a Fourier basis, the matrix is given by Spectral::fourier_interpolation_matrix at the quadrature points of the source_mesh

For multidimensional bases such as SphericalHarmonic, ZernikeB2, or ZernikeB3, the matrices used for interpolating cannot be applied per dimension but must be handled specially.

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The documentation for this class was generated from the following file:

• src/NumericalAlgorithms/Interpolation/CardinalInterpolator.hpp