LatBuilder::Functor::PAlpha Class Reference

One-dimensional merit function for the \(\mathcal P_\alpha\) discrepancy. More...

#include <PAlpha.h>

Public Types
typedef Real	value_type
typedef Real	result_type

Public Member Functions
	PAlpha (unsigned int alpha)
	Constructor.
unsigned int	alpha () const
bool	symmetric () const
result_type	operator() (const value_type &x, uInteger n=0) const
	Returns the one-dimensional function evaluated at x.
std::string	name () const

Static Public Member Functions
static constexpr Compress	suggestedCompression ()

Detailed Description

One-dimensional merit function for the \(\mathcal P_\alpha\) discrepancy.

This merit function is defined as

\[ \omega(x) = -\frac{(-4\pi^2)^{\alpha/2}}{\alpha!} \, B_\alpha(x), \]

for even integers \(\alpha\), where \(B_\alpha(x)\) is the Bernoulli polynomial of degree \(\alpha\).

Constructor & Destructor Documentation

PAlpha()

LatBuilder::Functor::PAlpha::PAlpha ( unsigned int alpha )

inline

Constructor.

Parameters

alpha

Value of \(\alpha\).

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

• include/latbuilder/Functor/PAlpha.h