The product of the discrete spaces Axes: a value has one value in each axis. More...

#include <EmrysFilter/Spaces/Discrete.h>

Inheritance diagram for Emrys::DiscreteProduct< Axes >:

Public Member Functions
constexpr	DiscreteProduct (Axes... axes)
	The product of axes, with their cardinalities.
template<std::size_t I>
constexpr auto const &	axis () const
constexpr Eigen::Index	cardinality () const
template<std::size_t I>
constexpr Eigen::Index	stride () const
constexpr Eigen::Index	value (std::array< Eigen::Index, AxisCount > const &coordinates) const
constexpr std::array< Eigen::Index, AxisCount >	coordinates (Eigen::Index value) const

Static Public Attributes
static constexpr std::size_t	AxisCount = sizeof...(Axes)
	the number of axes
static constexpr int	Cardinality = internal::productCardinality<Axes::Cardinality...>()
	the product of the axes' cardinalities, or Eigen::Dynamic if any is
static constexpr int	MaxCardinality = internal::productCardinality<Axes::MaxCardinality...>()
	the product of the axes' bounds, or Eigen::Dynamic if any is unbounded

Friends
bool	operator== (DiscreteProduct const &, DiscreteProduct const &)=default
	Equal when every axis is.

Detailed Description

template<DiscreteSpace... Axes>
class Emrys::DiscreteProduct< Axes >

The product of the discrete spaces Axes: a value has one value in each axis.

Its cardinality is the product of theirs. Values are flattened with the last axis varying fastest: axis I has the stride stride<I>(), the product of the cardinalities after it, and a value's flat index is the sum of each axis's index times its stride.