Interpolate.hpp File Reference

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

#include "janus/core/JanusConcepts.hpp"
#include "janus/core/JanusError.hpp"
#include "janus/core/JanusTypes.hpp"
#include "janus/math/Linalg.hpp"
#include <algorithm>
#include <casadi/casadi.hpp>
#include <cmath>
#include <optional>
#include <vector>

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

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

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

Functions
std::string	janus::detail::method_to_casadi_string (InterpolationMethod method)
	Convert InterpolationMethod enum to CasADi string.
const char *	janus::detail::hermite_symbolic_error_message ()
template<typename Derived>
JanusVector< typename Derived::Scalar >	janus::detail::flatten_fortran_order (const Eigen::MatrixBase< Derived > &values)
	Flatten N-D values array in Fortran order for CasADi.
std::string	janus::detail::symbolic_values_method_error_message (InterpolationMethod method)
InterpnGridData	janus::detail::build_interpn_grid (const std::vector< NumericVector > &points, const char *context)
void	janus::detail::validate_bspline_grid (const std::vector< std::vector< double > > &grid, const char *context)
template<JanusScalar Scalar>
JanusMatrix< Scalar >	janus::detail::normalize_query_matrix (const JanusMatrix< Scalar > &xi, int n_dims, const char *context)
template<JanusScalar Scalar>
SymbolicScalar	janus::detail::clamp_query_point (const JanusVector< Scalar > &point, const std::vector< std::vector< double > > &grid)
template<JanusScalar Scalar>
bool	janus::detail::point_out_of_bounds_numeric (const JanusVector< Scalar > &point, const std::vector< std::vector< double > > &grid)
SymbolicScalar	janus::detail::point_out_of_bounds_symbolic (const SymbolicVector &point, const std::vector< std::vector< double > > &grid)
casadi::Function	janus::detail::make_parametric_interpolant (const std::vector< std::vector< double > > &grid, InterpolationMethod method)
double	janus::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	janus::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 >	janus::detail::flat_to_multi_index (int flat_idx, const std::vector< int > &dims)
	Compute multi-dimensional index from flat index (Fortran order).
int	janus::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	janus::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>
JanusVector< Scalar >	janus::interpn (const std::vector< NumericVector > &points, const NumericVector &values_flat, const JanusMatrix< 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	janus::interpn (const std::vector< NumericVector > &points, const SymbolicVector &values_flat, const JanusMatrix< 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