tcc::ChebyshevPolynomial Class Reference

#include <cheby.h>

Public Member Functions
	ChebyshevPolynomial (std::vector< double > params, double minX=-1, double maxX=1)
	ChebyshevPolynomial ()
double	getMinX () const
double	getMaxX () const
unsigned int	getOrder () const
double	operator() (double x) const
std::string	__repr__ () const

Public Attributes
std::vector< double >	params

Detailed Description

1-dimensional weighted sum of Chebyshev polynomials of the first kind.

f(x) = c0 T0(x') + c1 T1(x') + c2 T2(x') + ... = c0 + c1 T1(x') + c2 T2(x') + ... where:

• Tn(x) is the nth Chebyshev function of the first kind: T0(x) = 1 T1(x) = 2 Tn+1(x) = 2xTn(x) + Tn-1(x)
• x' is x offset and scaled to range [-1, 1] as x ranges over [minX, maxX]

If the independent variable is outside the range [minX, maxX] then evaluation returns nan.

Definition at line 29 of file cheby.h.

Constructor & Destructor Documentation

tcc::ChebyshevPolynomial::ChebyshevPolynomial ( std::vector< double >  params, double  minX = -1, double  maxX = 1  )

inlineexplicit

Construct a Chebyshev polynomial with specified parameters and range.

Exceptions

std::runtime_error

if params is empty or minX >= maxX

Parameters

params	polynomial coefficients
minX	minimum allowed x
maxX	maximum allowed x

Definition at line 36 of file cheby.h.

tcc::ChebyshevPolynomial::ChebyshevPolynomial ( )

inlineexplicit

Default constructor

Definition at line 57 of file cheby.h.

Member Function Documentation

std::string tcc::ChebyshevPolynomial::__repr__

(

)

const

Return a string representation (especially for Python)

Definition at line 6 of file cheby.cc.

double tcc::ChebyshevPolynomial::getMaxX ( ) const

inline

Get maximum allowed x

Definition at line 72 of file cheby.h.

double tcc::ChebyshevPolynomial::getMinX ( ) const

inline

Get minimum allowed x

Definition at line 67 of file cheby.h.

unsigned int tcc::ChebyshevPolynomial::getOrder ( ) const

inline

Get the polynomial order

Definition at line 77 of file cheby.h.

double tcc::ChebyshevPolynomial::operator() ( double  x ) const

inline

Evaluate polynomial

Definition at line 82 of file cheby.h.

Member Data Documentation

std::vector<double> tcc::ChebyshevPolynomial::params

Definition at line 112 of file cheby.h.

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

• include/tcc/cheby.h
• src/cheby.cc