LatBuilder::Functor::IB Class Reference

One-dimensional merit function for the interlaced \(\mathcal B_{d, \gamma, (2)}\) discrepancy in base 2 [rGOD13a]. More...

#include <IB.h>

Public Types
typedef Real	value_type
typedef Real	result_type

Public Member Functions
	IB (unsigned int interlacingFactor)
	Constructor.
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 \(\mathcal B_{d, \gamma, (2)}\) discrepancy in base 2 [rGOD13a].

This merit function is defined as:

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

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

Constructor & Destructor Documentation

IB()

LatBuilder::Functor::IB::IB ( unsigned int interlacingFactor )

inline

Constructor.

Parameters

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/IB.h