hmap::ChebyshevEvaluator Class Reference

Evaluates a Chebyshev polynomial series using Clenshaw recurrence. More...

#include <chebyshev.hpp>

Public Types
using	value_type = float

Public Member Functions
	ChebyshevEvaluator ()=default
	Default constructor.
	ChebyshevEvaluator (std::vector< value_type > coefficients)
	Construct from Chebyshev coefficients.
void	set_coefficients (std::vector< value_type > coefficients)
	Set Chebyshev coefficients.
value_type	evaluate (value_type x) const noexcept
	Evaluate the polynomial series at x.
template<typename InputIt , typename OutputIt >
void	evaluate_batch (InputIt begin, InputIt end, OutputIt out) const noexcept
	Evaluate the series on a range of input values.
int	degree () const noexcept
	Get polynomial degree.
const std::vector< value_type > &	coefficients () const noexcept
	Get series coefficients.

Detailed Description

Evaluates a Chebyshev polynomial series using Clenshaw recurrence.

Evaluates:

f(x) = sum_k c_k T_k(x)

where T_k are Chebyshev polynomials of the first kind.

Designed for very large numbers of evaluations with minimal overhead.

Member Typedef Documentation

value_type

using hmap::ChebyshevEvaluator::value_type = float

Constructor & Destructor Documentation

ChebyshevEvaluator() [1/2]

hmap::ChebyshevEvaluator::ChebyshevEvaluator ( )

default

Default constructor.

ChebyshevEvaluator() [2/2]

hmap::ChebyshevEvaluator::ChebyshevEvaluator ( std::vector< value_type >  coefficients )

inlineexplicit

Construct from Chebyshev coefficients.

Parameters

coefficients

Series coefficients ordered by polynomial degree.

Member Function Documentation

set_coefficients()

void hmap::ChebyshevEvaluator::set_coefficients ( std::vector< value_type >  coefficients )

inline

Set Chebyshev coefficients.

Parameters

coefficients

Series coefficients ordered by polynomial degree.

evaluate()

value_type hmap::ChebyshevEvaluator::evaluate ( value_type  x ) const

inlinenoexcept

Evaluate the polynomial series at x.

Uses the Clenshaw recurrence algorithm.

Parameters

x	Evaluation coordinate.

Returns

Evaluated value.

evaluate_batch()

template<typename InputIt , typename OutputIt >

void hmap::ChebyshevEvaluator::evaluate_batch ( InputIt  begin, InputIt  end, OutputIt  out  ) const

inlinenoexcept

Evaluate the series on a range of input values.

Template Parameters

InputIt	Input iterator type.
OutputIt	Output iterator type.

Parameters

begin	Input begin iterator.
end	Input end iterator.
out	Output iterator.

degree()

int hmap::ChebyshevEvaluator::degree ( ) const

inlinenoexcept

Get polynomial degree.

Returns

Highest polynomial degree.

coefficients()

const std::vector< value_type > & hmap::ChebyshevEvaluator::coefficients ( ) const

inlinenoexcept

Get series coefficients.

Returns

Coefficient array.

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

• HighMap/include/highmap/math/chebyshev.hpp