tpl_ca_continuous_rules.H File Reference

Continuous and memory-bearing CA rules (Phase 9). More...

#include <algorithm>
#include <array>
#include <cmath>
#include <cstddef>
#include <limits>
#include <type_traits>
#include <utility>
#include <ah-errors.H>
#include <ca-kernels.H>
#include <ca-traits.H>

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Classes
class	Aleph::CA::Continuous_Rule< F, Kernel >
	Scalar continuous rule driven by a real convolution kernel. More...
struct	Aleph::CA::Reaction_Diffusion_Cell< Real >
	Two-field state for reaction-diffusion cellular automata. More...
class	Aleph::CA::Gray_Scott_Rule< Real, Kernel >
	Gray-Scott reaction-diffusion rule. More...
class	Aleph::CA::FitzHugh_Nagumo_Rule< Real, Kernel >
	FitzHugh-Nagumo excitable-media rule. More...
class	Aleph::CA::History_Cell< State, Depth >
	Cell state carrying a fixed-depth ring buffer of past values. More...
class	Aleph::CA::History_Rule< Depth, F >
	Rule adapter for History_Cell<State, Depth>. More...

Namespaces
namespace	Aleph
	Main namespace for Aleph-w library functions.
namespace	Aleph::CA
namespace	Aleph::CA::ca_continuous_detail

Functions
template<typename Real >
void	Aleph::CA::ca_continuous_detail::require_finite (const Real value, const char *label)
template<typename Real >
void	Aleph::CA::ca_continuous_detail::require_domain (const Real value, const Real lo, const Real hi, const char *label)
template<typename Real >
void	Aleph::CA::ca_continuous_detail::require_positive_dt (const Real dt, const Real max_dt, const char *label)
template<typename Real >
Real	Aleph::CA::ca_continuous_detail::clamp_unit_after_check (const Real value, const char *label)
template<typename Real >
Real	Aleph::CA::ca_continuous_detail::checked_bounded (const Real value, const Real max_abs, const char *label)
template<typename F , typename Kernel >
Continuous_Rule< F, Kernel >	Aleph::CA::make_continuous_rule (F f, Kernel k, typename Kernel::value_type dt=typename Kernel::value_type{1}, typename Kernel::value_type min_value=-std::numeric_limits< typename Kernel::value_type >::infinity(), typename Kernel::value_type max_value=std::numeric_limits< typename Kernel::value_type >::infinity())
	Helper factory for Continuous_Rule.
template<std::size_t Depth, typename F >
History_Rule< Depth, F >	Aleph::CA::make_history_rule (F f)
	Helper factory for History_Rule.

Detailed Description

Continuous and memory-bearing CA rules (Phase 9).

This header extends the rule catalogue with:

• Continuous_Rule<F, Kernel> for scalar float/double states updated from a real convolution kernel.
• Reaction_Diffusion_Cell<Real> plus Gray-Scott and FitzHugh-Nagumo reaction-diffusion rules.
• History_Cell<State, Depth> and History_Rule<Depth, F> for per-cell ring-buffer memory.

The reaction-diffusion rules use explicit Euler integration over a square lattice. Their constructors enforce conservative dt ranges, and each transition checks for non-finite or out-of-contract values with ah_runtime_error_if, so numerical blow-up fails loudly instead of silently contaminating later frames.

Author

Leandro Rabindranath Leon

Definition in file tpl_ca_continuous_rules.H.