Interpolate.hpp File Reference

N-dimensional interpolation (linear, Hermite, B-spline, nearest). More...

#include "metis/core/MetisConcepts.hpp"
#include "metis/core/MetisError.hpp"
#include "metis/core/MetisTypes.hpp"
#include "metis/math/Linalg.hpp"
#include <algorithm>
#include <casadi/casadi.hpp>
#include <cmath>
#include <optional>
#include <vector>

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Classes
struct	metis::ExtrapolationConfig
	Configuration for extrapolation behavior. More...
struct	metis::detail::InterpnGridData
class	metis::Interpolator

Namespaces
namespace	metis
namespace	metis::detail
	Smooth approximation of ReLU function: softplus(x) = (1/beta) * log(1 + exp(beta * x)).

Enumerations
enum class	metis::InterpolationMethod { metis::Linear , metis::Hermite , metis::BSpline , metis::Nearest }
	Supported interpolation methods. More...
enum class	metis::ExtrapolationMode { metis::Clamp , metis::Linear }
	Controls behavior when query points fall outside grid bounds. More...

Functions
std::string	metis::detail::method_to_casadi_string (InterpolationMethod method)
	Convert InterpolationMethod enum to CasADi string.
const char *	metis::detail::hermite_symbolic_error_message ()
template<typename Derived>
MetisVector< typename Derived::Scalar >	metis::detail::flatten_fortran_order (const Eigen::MatrixBase< Derived > &values)
	Flatten N-D values array in Fortran order for CasADi.
std::string	metis::detail::symbolic_values_method_error_message (InterpolationMethod method)
InterpnGridData	metis::detail::build_interpn_grid (const std::vector< NumericVector > &points, const char *context)
void	metis::detail::validate_bspline_grid (const std::vector< std::vector< double > > &grid, const char *context)
template<MetisScalar Scalar>
MetisMatrix< Scalar >	metis::detail::normalize_query_matrix (const MetisMatrix< Scalar > &xi, int n_dims, const char *context)
template<MetisScalar Scalar>
SymbolicScalar	metis::detail::clamp_query_point (const MetisVector< Scalar > &point, const std::vector< std::vector< double > > &grid)
template<MetisScalar Scalar>
bool	metis::detail::point_out_of_bounds_numeric (const MetisVector< Scalar > &point, const std::vector< std::vector< double > > &grid)
SymbolicScalar	metis::detail::point_out_of_bounds_symbolic (const SymbolicVector &point, const std::vector< std::vector< double > > &grid)
casadi::Function	metis::detail::make_parametric_interpolant (const std::vector< std::vector< double > > &grid, InterpolationMethod method)
double	metis::detail::catmull_rom_slope (const std::vector< double > &x, const std::vector< double > &y, size_t i)
	Compute Catmull-Rom slope at a point using neighboring values.
double	metis::detail::hermite_interp_1d_numeric (const std::vector< double > &x, const std::vector< double > &y, double query)
	Evaluate 1D Catmull-Rom cubic Hermite spline (numeric only).
std::vector< int >	metis::detail::flat_to_multi_index (int flat_idx, const std::vector< int > &dims)
	Compute multi-dimensional index from flat index (Fortran order).
int	metis::detail::multi_to_flat_index (const std::vector< int > &multi, const std::vector< int > &dims)
	Compute flat index from multi-dimensional index (Fortran order).
double	metis::detail::hermite_interpn_numeric (const std::vector< std::vector< double > > &grid, const std::vector< double > &values, const std::vector< double > &query)
	N-dimensional Catmull-Rom interpolation via tensor product (numeric only).
template<typename Scalar>
MetisVector< Scalar >	metis::interpn (const std::vector< NumericVector > &points, const NumericVector &values_flat, const MetisMatrix< Scalar > &xi, InterpolationMethod method=InterpolationMethod::Linear, std::optional< Scalar > fill_value=std::nullopt)
	N-dimensional interpolation on regular grids (backwards compatibility).
template<typename Scalar>
SymbolicVector	metis::interpn (const std::vector< NumericVector > &points, const SymbolicVector &values_flat, const MetisMatrix< Scalar > &xi, InterpolationMethod method=InterpolationMethod::Linear, std::optional< SymbolicScalar > fill_value=std::nullopt)
	N-dimensional interpolation with symbolic table values.

Detailed Description

N-dimensional interpolation (linear, Hermite, B-spline, nearest).

See also

ScatteredInterpolator.hpp