LatBuilder::Functor::ICAlpha Class Reference

One-dimensional merit function for the interlaced \(\mathcal B_{\alpha, d, \gamma}\) discrepancy in base 2 [rGOD15c]. More...

#include <ICAlpha.h>

Public Types
typedef Real	value_type
typedef Real	result_type

Public Member Functions
	ICAlpha (unsigned int alpha, unsigned int interlacingFactor)
	Constructor.
unsigned int	alpha () const
unsigned int	interlacingFactor () const
bool	symmetric () const
template<typename MODULUS>
result_type	operator() (const value_type &x, MODULUS 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 interlaced \(\mathcal B_{\alpha, d, \gamma}\) discrepancy in base 2 [rGOD15c].

This merit function is defined as:

\[ \phi_{\alpha, d}(x) = \frac{1 - 2^{2 \min(\alpha, d) \lfloor \log_2(x) \rfloor} (2^{2 \min(\alpha, d) + 1} -1)}{2^{\alpha} (2^{2 \min(\alpha, d)} -1) } \]

with \( \min(\alpha, d) > 1 \) where we set \(2^{\lfloor \log_2(0) \rfloor} = 0\).

Constructor & Destructor Documentation

ICAlpha()

LatBuilder::Functor::ICAlpha::ICAlpha ( unsigned int alpha, unsigned int interlacingFactor )

inline

Constructor.

Parameters

alpha	Value of \(\alpha\).
interlacingFactor	Value of \(d\).

References LatBuilder::intPow().

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

• include/latbuilder/Functor/ICAlpha.h