Evaluate an approximation to a nth order polynomial using a Chebyshev series through Crenshaw's algorithm to evaluate \(p_n(x) = \Sigma_{i=1}^{n}c_iT_i\) The evaluation is implemented using the reccurrence relations http://mathworld.wolfram.com/ClenshawRecurrenceFormula.html. More...

#include <ChebyshevSeries.h>

Public Member Functions
	ChebyshevSeries (const size_t degree)
	Constructor for an n-th order polynomial. More...

double	operator() (const std::vector< double > &c, const double x)

Private Attributes
std::vector< double >	m_bk

Detailed Description

Evaluate an approximation to a nth order polynomial using a Chebyshev series through Crenshaw's algorithm to evaluate \(p_n(x) = \Sigma_{i=1}^{n}c_iT_i\) The evaluation is implemented using the reccurrence relations http://mathworld.wolfram.com/ClenshawRecurrenceFormula.html.

Definition at line 25 of file ChebyshevSeries.h.

Constructor & Destructor Documentation

◆ ChebyshevSeries()

Mantid::Kernel::ChebyshevSeries::ChebyshevSeries ( const size_t degree )

Constructor for an n-th order polynomial.

Parameters

degree Degree of polynomial required. It will require degree+1 coefficients to evaluate.

Definition at line 28 of file ChebyshevSeries.cpp.

Member Function Documentation

◆ operator()()

double Mantid::Kernel::ChebyshevSeries::operator()	(	const std::vector< double > &	c,
		const double	x
	)

Parameters

x	X value to evaluate the polynomial in the range [-1,1]. No checking is performed.
c	Vector of (n+1) coefficients for the polynomial. They should be ordered from 0->n. Providing more coefficients that required is not considered an error.

Returns: Value of the polynomial. The value is undefined if x or n are out of range

Definition at line 42 of file ChebyshevSeries.cpp.

References m_bk, and Mantid::Geometry::x.

Member Data Documentation

◆ m_bk

std::vector<double> Mantid::Kernel::ChebyshevSeries::m_bk

private

Definition at line 32 of file ChebyshevSeries.h.

Referenced by operator()().

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

Framework/Kernel/inc/MantidKernel/Math/Distributions/ChebyshevSeries.h
Framework/Kernel/src/Math/Distributions/ChebyshevSeries.cpp

Public Member Functions