Aleph::CA::ca_neighborhood_detail Namespace Reference

Functions
constexpr std::size_t	static_pow (std::size_t base, std::size_t exp) noexcept
	Compile-time integer power.
template<std::size_t N, std::size_t R>
constexpr std::size_t	von_neumann_count () noexcept
	Number of integer points in the L1 ball of radius R in N dimensions, excluding the origin.
template<std::size_t N, std::size_t R>
constexpr auto	compute_moore_offsets () noexcept
	Generate the canonical-ordered list of Moore offsets for N/R.
template<std::size_t N, std::size_t R>
constexpr auto	compute_von_neumann_offsets () noexcept
	Generate the canonical-ordered list of Von Neumann offsets for N/R (L1 radius).

Function Documentation

compute_moore_offsets()

template<std::size_t N, std::size_t R>

constexpr auto Aleph::CA::ca_neighborhood_detail::compute_moore_offsets ( )

constexprnoexcept

Generate the canonical-ordered list of Moore offsets for N/R.

Definition at line 140 of file tpl_ca_neighborhood.H.

References Aleph::blossom_maximum_cardinality_matching(), N, Aleph::CA::R, and static_pow().

compute_von_neumann_offsets()

template<std::size_t N, std::size_t R>

constexpr auto Aleph::CA::ca_neighborhood_detail::compute_von_neumann_offsets ( )

constexprnoexcept

Generate the canonical-ordered list of Von Neumann offsets for N/R (L1 radius).

Same iteration as Moore but filtered.

Definition at line 182 of file tpl_ca_neighborhood.H.

References Aleph::and, Aleph::blossom_maximum_cardinality_matching(), l1, N, Aleph::CA::R, and static_pow().

static_pow()

constexpr std::size_t Aleph::CA::ca_neighborhood_detail::static_pow ( std::size_t  base, std::size_t  exp  )

constexprnoexcept

Compile-time integer power.

Definition at line 88 of file tpl_ca_neighborhood.H.

References exp(), and r.

Referenced by compute_moore_offsets(), compute_von_neumann_offsets(), and von_neumann_count().

von_neumann_count()

template<std::size_t N, std::size_t R>

constexpr std::size_t Aleph::CA::ca_neighborhood_detail::von_neumann_count ( )

constexprnoexcept

Number of integer points in the L1 ball of radius R in N dimensions, excluding the origin.

Definition at line 99 of file tpl_ca_neighborhood.H.

References Aleph::and, Aleph::blossom_maximum_cardinality_matching(), l1, N, Aleph::CA::R, and static_pow().