LatBuilder::Functor::RPLR Class Reference

One-dimensional merit function for the \(\textbf{R}\) discrepancy. More...

#include <RPLR.h>

Public Types
typedef Real	value_type
typedef Real	result_type

Public Member Functions
	RPLR ()
	Constructor.
bool	symmetric () const
result_type	operator() (const value_type &x, Polynomial modulus) const
	Returns the one-dimensional function evaluated at x.
result_type	operator() (const value_type &x, unsigned long modulus) const
std::string	name () const

Static Public Member Functions
static constexpr Compress	suggestedCompression ()

Detailed Description

One-dimensional merit function for the \(\textbf{R}\) discrepancy.

This merit function is defined as

\[ \omega(x) = \left\{ \begin{array}{ll} \frac{1}{2}i_{0} & \mbox{if } x = \sum_{i=i_{0}}^{\infty} \xi_{i}2^{-i},\quad 1 \leq i_{0} \leq m, \xi_{i_{0}} \neq 0 \\ 1+\frac{1}{2}m & \text{otherwise } \end{array} \right. \]

where \(m = \deg(P(z))\), with \(P(z)\) the modulus of the polynomial lattice

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

• include/latbuilder/Functor/RPLR.h