LatBuilder::Functor::PAlphaTilde Class Reference

One-dimensional merit function for the \(\tilde{\mathcal{P}}_{\alpha}\) discrepancy. More...

#include <PAlphaTilde.h>

Public Types
typedef Real	value_type
typedef Real	result_type

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

Static Public Member Functions
static constexpr Compress	suggestedCompression ()

Detailed Description

One-dimensional merit function for the \(\tilde{\mathcal{P}}_{\alpha}\) discrepancy.

This merit function is defined as

\[ \omega(x) = \mu(\alpha) - 2^{(1+ \lfloor \log_{2}(x_{i,j}) \rfloor)(\alpha-1)}(\mu(\alpha)+1) \]

for \(\alpha >1\)

Constructor & Destructor Documentation

PAlphaTilde()

LatBuilder::Functor::PAlphaTilde::PAlphaTilde ( 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/PAlphaTilde.h