polynomial.h File Reference

Polynomial interpolation of real functions. More...

#include <vector>
#include "../core/real_analysis.h"
#include "../polynomial/polynomial.h"
#include "../algebra/algebra.h"
#include "../core/function.h"

Go to the source code of this file.

Namespaces
namespace	theoretica
	Main namespace of the library which contains all functions and objects.

Functions
template<typename Vector1 , typename Vector2 , enable_vector< Vector1 > = true, enable_vector< Vector2 > = true, typename Type = vector_element_t<Vector2>>
polynomial< Type >	theoretica::lagrange (const Vector1 &x, const Vector2 &y)
	Compute the Lagrange interpolating polynomial of a set of points.
template<typename Vector = vec<real>>
Vector	theoretica::chebyshev_nodes (real a, real b, unsigned int n)
	Compute the n Chebyshev nodes on a given interval.
template<typename RealFunction , typename Type = return_type_t<RealFunction>>
polynomial< Type >	theoretica::interpolate_grid (RealFunction f, real a, real b, unsigned int order)
	Compute the interpolating polynomial of a real function on an equidistant grid.
template<typename RealFunction , typename Type = return_type_t<RealFunction>>
polynomial< Type >	theoretica::interpolate_chebyshev (RealFunction f, real a, real b, unsigned int order)
	Compute the interpolating polynomial of a real function using Chebyshev nodes as sampling points.
template<typename RealFunction , typename Type = return_type_t<RealFunction>>
polynomial< Type >	theoretica::interpolate (RealFunction f, real a, real b, unsigned int order)
	Use the best available method to compute the interpolating polynomial of a real function.

Detailed Description

Polynomial interpolation of real functions.