Approximate representation of a 1D continuous function. More...

Public Member Functions
	ChebyshevInterpolatingFunction (const std::function< double(double)> &func, double x_min, double x_max, size_t N=0)

ChebyshevInterpolatingFunction	cdf () const

const std::vector< double > &	chebyshev_coeffs () const

double	evaluate (double x) const
	Approximates the represented function using the barycentric formula.

const std::vector< double > &	Fs () const

double	integral () const

int	N () const

const std::vector< double > &	Xs () const

Protected Member Functions
	ChebyshevInterpolatingFunction ()
	Default constructor used by cdf()

double	chebyshev_point (size_t j) const
	For a given N, returns the x position of the jth Chebyshev point (of the second kind) More...

void	compute_integral ()

Protected Attributes
std::vector< double >	chebyshev_coeffs_
	Coefficients of the Chebyshev expansion of this function.

std::vector< double >	Fs_
	Function values at the grid points.

std::vector< int >	ifac_

double	integral_
	Approximate integral of the function on [x_min_, x_max_].

size_t	N_
	Grid size parameter (N + 1 total points)

std::vector< double >	wsave_

double	x_max_
	Upper edge of the grid.

double	x_min_
	Lower edge of the grid.

std::vector< double >	Xs_
	Chebyshev points at which the function was evaluated.

Static Protected Attributes
static constexpr size_t	N_MAX_ = 65536u
	Maximum allowed value of the grid size parameter.

Detailed Description

Approximate representation of a 1D continuous function.

Constructor & Destructor Documentation

marley::ChebyshevInterpolatingFunction::ChebyshevInterpolatingFunction	(	const std::function< double(double)> &	func,
		double	x_min,
		double	x_max,
		size_t	N = `0`
	)

double marley::ChebyshevInterpolatingFunction::chebyshev_point ( size_t j ) const

inlineprotected

For a given N, returns the x position of the jth Chebyshev point (of the second kind)

Todo:: If needed for speed, consider caching the std::cos evaluations used here

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