aka_common.hh
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aka_common.hh
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	/**
	* @file aka_common.hh
	*
	* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
	* @author Nicolas Richart <nicolas.richart@epfl.ch>
	*
	* @date creation: Mon Jun 14 2010
	* @date last modification: Mon Feb 12 2018
	*
	* @brief common type descriptions for akantu
	*
	*
	* Copyright (©) 2010-2018 EPFL (Ecole Polytechnique Fédérale de Lausanne)
	* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
	*
	* Akantu is free software: you can redistribute it and/or modify it under the
	* terms of the GNU Lesser General Public License as published by the Free
	* Software Foundation, either version 3 of the License, or (at your option) any
	* later version.
	*
	* Akantu is distributed in the hope that it will be useful, but WITHOUT ANY
	* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	* A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more
	* details.
	*
	* You should have received a copy of the GNU Lesser General Public License
	* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
	*
	*/

	/* -------------------------------------------------------------------------- */

	#ifndef AKANTU_COMMON_HH_
	#define AKANTU_COMMON_HH_

	#include "aka_compatibilty_with_cpp_standard.hh"

	/* -------------------------------------------------------------------------- */
	#if defined(WIN32)
	#define __attribute__(x)
	#endif

	/* -------------------------------------------------------------------------- */
	#include "aka_config.hh"
	#include "aka_error.hh"
	#include "aka_safe_enum.hh"
	/* -------------------------------------------------------------------------- */
	#include <boost/preprocessor.hpp>
	#include <limits>
	#include <list>
	#include <memory>
	#include <string>
	#include <type_traits>
	#include <unordered_map>
	/* -------------------------------------------------------------------------- */

	namespace akantu {

	/* -------------------------------------------------------------------------- */
	/* Constants */
	/* -------------------------------------------------------------------------- */
	namespace {
	[[gnu::unused]] constexpr UInt _all_dimensions{
	std::numeric_limits<UInt>::max()};
	#ifdef AKANTU_NDEBUG
	[[gnu::unused]] constexpr Real REAL_INIT_VALUE{0.};
	#else
	[[gnu::unused]] constexpr Real REAL_INIT_VALUE{
	std::numeric_limits<Real>::quiet_NaN()};
	#endif
	} // namespace

	/* -------------------------------------------------------------------------- */
	/* Common types */
	/* -------------------------------------------------------------------------- */
	using ID = std::string;
	} // namespace akantu

	/* -------------------------------------------------------------------------- */
	#include "aka_enum_macros.hh"
	/* -------------------------------------------------------------------------- */
	#include "aka_element_classes_info.hh"
	/* -------------------------------------------------------------------------- */

	namespace akantu {
	/* -------------------------------------------------------------------------- */
	/* Mesh/FEM/Model types */
	/* -------------------------------------------------------------------------- */

	/// small help to use names for directions
	enum SpatialDirection { _x = 0, _y = 1, _z = 2 };

	/// enum MeshIOType type of mesh reader/writer
	enum MeshIOType {
	_miot_auto, ///< Auto guess of the reader to use based on the extension
	_miot_gmsh, ///< Gmsh files
	_miot_gmsh_struct, ///< Gsmh reader with reintpretation of elements has
	/// structures elements
	_miot_diana, ///< TNO Diana mesh format
	_miot_abaqus ///< Abaqus mesh format
	};

	/// enum MeshEventHandlerPriority defines relative order of execution of
	/// events
	enum EventHandlerPriority {
	_ehp_highest = 0,
	_ehp_mesh = 5,
	_ehp_fe_engine = 9,
	_ehp_synchronizer = 10,
	_ehp_dof_manager = 20,
	_ehp_model = 94,
	_ehp_non_local_manager = 100,
	_ehp_lowest = 100
	};

	#if !defined(DOXYGEN)
	// clang-format off
	#define AKANTU_MODEL_TYPES \
	(model) \
	(solid_mechanics_model) \
	(solid_mechanics_model_cohesive) \
	(heat_transfer_model) \
	(structural_mechanics_model) \
	(embedded_model) \
	(contact_mechanics_model) \
	(coupler_solid_contact) \
	(coupler_solid_cohesive_contact)
	// clang-format on

	/// enum ModelType defines which type of physics is solved
	AKANTU_CLASS_ENUM_DECLARE(ModelType, AKANTU_MODEL_TYPES)
	AKANTU_CLASS_ENUM_OUTPUT_STREAM(ModelType, AKANTU_MODEL_TYPES)
	AKANTU_CLASS_ENUM_INPUT_STREAM(ModelType, AKANTU_MODEL_TYPES)
	#else
	enum class ModelType {
	model,
	solid_mechanics_model,
	solid_mechanics_model_cohesive,
	heat_transfer_model,
	structural_mechanics_model,
	embedded_model,
	};
	#endif
	/// enum AnalysisMethod type of solving method used to solve the equation of
	/// motion
	enum AnalysisMethod {
	_static = 0,
	_implicit_dynamic = 1,
	_explicit_lumped_mass = 2,
	_explicit_lumped_capacity = 2,
	_explicit_consistent_mass = 3,
	_explicit_contact = 4,
	_implicit_contact = 5,
	_explicit_dynamic_contact = 6
	};

	/// enum DOFSupportType defines which kind of dof that can exists
	enum DOFSupportType { _dst_nodal, _dst_generic };

	#if !defined(DOXYGEN)
	// clang-format off
	#define AKANTU_NON_LINEAR_SOLVER_TYPES \
	(linear) \
	(newton_raphson) \
	(newton_raphson_modified) \
	(lumped) \
	(gmres) \
	(bfgs) \
	(cg) \
	(newton_raphson_contact) \
	(auto)
	// clang-format on
	AKANTU_CLASS_ENUM_DECLARE(NonLinearSolverType, AKANTU_NON_LINEAR_SOLVER_TYPES)
	AKANTU_CLASS_ENUM_OUTPUT_STREAM(NonLinearSolverType,
	AKANTU_NON_LINEAR_SOLVER_TYPES)
	AKANTU_CLASS_ENUM_INPUT_STREAM(NonLinearSolverType,
	AKANTU_NON_LINEAR_SOLVER_TYPES)
	#else
	/// Type of non linear resolution available in akantu
	enum class NonLinearSolverType {
	_linear, ///< No non linear convergence loop
	_newton_raphson, ///< Regular Newton-Raphson
	_newton_raphson_modified, ///< Newton-Raphson with initial tangent
	_lumped, ///< Case of lumped mass or equivalent matrix
	_gmres,
	_bfgs,
	_cg,
	_newton_raphson_contact, ///< Regular Newton-Raphson modified
	/// for contact problem
	_auto, ///< This will take a default value that make sense in case of
	/// model::getNewSolver
	};
	#endif

	#if !defined(DOXYGEN)
	// clang-format off
	#define AKANTU_TIME_STEP_SOLVER_TYPE \
	(static) \
	(dynamic) \
	(dynamic_lumped) \
	(not_defined)
	// clang-format on
	AKANTU_CLASS_ENUM_DECLARE(TimeStepSolverType, AKANTU_TIME_STEP_SOLVER_TYPE)
	AKANTU_CLASS_ENUM_OUTPUT_STREAM(TimeStepSolverType,
	AKANTU_TIME_STEP_SOLVER_TYPE)
	AKANTU_CLASS_ENUM_INPUT_STREAM(TimeStepSolverType, AKANTU_TIME_STEP_SOLVER_TYPE)
	#else
	/// Type of time stepping solver
	enum class TimeStepSolverType {
	_static, ///< Static solution
	_dynamic, ///< Dynamic solver
	_dynamic_lumped, ///< Dynamic solver with lumped mass
	_not_defined, ///< For not defined cases
	};
	#endif

	#if !defined(DOXYGEN)
	// clang-format off
	#define AKANTU_INTEGRATION_SCHEME_TYPE \
	(pseudo_time) \
	(forward_euler) \
	(trapezoidal_rule_1) \
	(backward_euler) \
	(central_difference) \
	(fox_goodwin) \
	(trapezoidal_rule_2) \
	(linear_acceleration) \
	(newmark_beta) \
	(generalized_trapezoidal)
	// clang-format on
	AKANTU_CLASS_ENUM_DECLARE(IntegrationSchemeType, AKANTU_INTEGRATION_SCHEME_TYPE)
	AKANTU_CLASS_ENUM_OUTPUT_STREAM(IntegrationSchemeType,
	AKANTU_INTEGRATION_SCHEME_TYPE)
	AKANTU_CLASS_ENUM_INPUT_STREAM(IntegrationSchemeType,
	AKANTU_INTEGRATION_SCHEME_TYPE)
	#else
	/// Type of integration scheme
	enum class IntegrationSchemeType {
	_pseudo_time, ///< Pseudo Time
	_forward_euler, ///< GeneralizedTrapezoidal(0)
	_trapezoidal_rule_1, ///< GeneralizedTrapezoidal(1/2)
	_backward_euler, ///< GeneralizedTrapezoidal(1)
	_central_difference, ///< NewmarkBeta(0, 1/2)
	_fox_goodwin, ///< NewmarkBeta(1/6, 1/2)
	_trapezoidal_rule_2, ///< NewmarkBeta(1/2, 1/2)
	_linear_acceleration, ///< NewmarkBeta(1/3, 1/2)
	_newmark_beta, ///< generic NewmarkBeta with user defined
	/// alpha and beta
	_generalized_trapezoidal ///< generic GeneralizedTrapezoidal with user
	/// defined alpha
	};
	#endif

	#if !defined(DOXYGEN)
	// clang-format off
	#define AKANTU_SOLVE_CONVERGENCE_CRITERIA \
	(residual) \
	(solution) \
	(residual_mass_wgh)
	// clang-format on
	AKANTU_CLASS_ENUM_DECLARE(SolveConvergenceCriteria,
	AKANTU_SOLVE_CONVERGENCE_CRITERIA)
	AKANTU_CLASS_ENUM_OUTPUT_STREAM(SolveConvergenceCriteria,
	AKANTU_SOLVE_CONVERGENCE_CRITERIA)
	AKANTU_CLASS_ENUM_INPUT_STREAM(SolveConvergenceCriteria,
	AKANTU_SOLVE_CONVERGENCE_CRITERIA)
	#else
	/// enum SolveConvergenceCriteria different convergence criteria
	enum class SolveConvergenceCriteria {
	_residual, ///< Use residual to test the convergence
	_solution, ///< Use solution to test the convergence
	_residual_mass_wgh ///< Use residual weighted by inv. nodal mass to
	///< testb
	};
	#endif

	/// enum CohesiveMethod type of insertion of cohesive elements
	enum CohesiveMethod { _intrinsic, _extrinsic };

	/// @enum MatrixType type of sparse matrix used
	enum MatrixType { _unsymmetric, _symmetric, _mt_not_defined };

	/// @enum Type of contact detection
	enum DetectionType { _explicit, _implicit};

	/// @enum no contact or stick or slip state
	enum ContactState {
	_no_contact = 0,
	_stick = 1,
	_slip = 2,
	};

	/* -------------------------------------------------------------------------- */
	/* Ghosts handling */
	/* -------------------------------------------------------------------------- */
	/// @enum CommunicatorType type of communication method to use
	enum CommunicatorType { _communicator_mpi, _communicator_dummy };

	#if !defined(DOXYGEN)
	// clang-format off
	#define AKANTU_SYNCHRONIZATION_TAG \
	(whatever) \
	(update) \
	(ask_nodes) \
	(size) \
	(smm_mass) \
	(smm_for_gradu) \
	(smm_boundary) \
	(smm_uv) \
	(smm_res) \
	(smm_init_mat) \
	(smm_stress) \
	(smmc_facets) \
	(smmc_facets_conn) \
	(smmc_facets_stress) \
	(smmc_damage) \
	(giu_global_conn) \
	(ce_groups) \
	(ce_insertion_order) \
	(gm_clusters) \
	(htm_temperature) \
	(htm_gradient_temperature) \
	(htm_phi) \
	(htm_gradient_phi) \
	(mnl_for_average) \
	(mnl_weight) \
	(nh_criterion) \
	(test) \
	(user_1) \
	(user_2) \
	(material_id) \
	(for_dump) \
	(cf_nodal) \
	(cf_incr) \
	(solver_solution)
	// clang-format on
	AKANTU_CLASS_ENUM_DECLARE(SynchronizationTag, AKANTU_SYNCHRONIZATION_TAG)
	AKANTU_CLASS_ENUM_OUTPUT_STREAM(SynchronizationTag, AKANTU_SYNCHRONIZATION_TAG)
	#else
	/// @enum SynchronizationTag type of synchronizations
	enum class SynchronizationTag {
	//--- Generic tags ---
	_whatever,
	_update,
	_ask_nodes,
	_size,

	//--- SolidMechanicsModel tags ---
	_smm_mass, ///< synchronization of the SolidMechanicsModel.mass
	_smm_for_gradu, ///< synchronization of the
	/// SolidMechanicsModel.displacement
	_smm_boundary, ///< synchronization of the boundary, forces, velocities
	/// and displacement
	_smm_uv, ///< synchronization of the nodal velocities and displacement
	_smm_res, ///< synchronization of the nodal residual
	_smm_init_mat, ///< synchronization of the data to initialize materials
	_smm_stress, ///< synchronization of the stresses to compute the
	///< internal
	/// forces
	_smmc_facets, ///< synchronization of facet data to setup facet synch
	_smmc_facets_conn, ///< synchronization of facet global connectivity
	_smmc_facets_stress, ///< synchronization of facets' stress to setup
	///< facet
	/// synch
	_smmc_damage, ///< synchronization of damage

	// --- GlobalIdsUpdater tags ---
	_giu_global_conn, ///< synchronization of global connectivities

	// --- CohesiveElementInserter tags ---
	_ce_groups, ///< synchronization of cohesive element insertion depending
	/// on facet groups
	_ce_insertion_order, ///< synchronization of the order of insertion of
	/// cohesive elements

	// --- GroupManager tags ---
	_gm_clusters, ///< synchronization of clusters

	// --- HeatTransfer tags ---
	_htm_temperature, ///< synchronization of the nodal temperature
	_htm_gradient_temperature, ///< synchronization of the element gradient
	/// temperature
	// --- LevelSet tags ---
	_htm_phi, ///< synchronization of the nodal level set value phi
	_htm_gradient_phi, ///< synchronization of the element gradient phi

	_pfm_damage,
	_pfm_gradient_damage,

	//--- Material non local ---
	_mnl_for_average, ///< synchronization of data to average in non local
	/// material
	_mnl_weight, ///< synchronization of data for the weight computations

	// --- NeighborhoodSynchronization tags ---
	_nh_criterion,

	// --- General tags ---
	_test, ///< Test tag
	_user_1, ///< tag for user simulations
	_user_2, ///< tag for user simulations
	_material_id, ///< synchronization of the material ids
	_for_dump, ///< everything that needs to be synch before dump

	// --- Contact & Friction ---
	_cf_nodal, ///< synchronization of disp, velo, and current position
	_cf_incr, ///< synchronization of increment

	// --- Solver tags ---
	_solver_solution ///< synchronization of the solution obained with the
	/// PETSc solver
	};
	#endif

	/// @enum GhostType type of ghost
	enum GhostType {
	_not_ghost = 0,
	_ghost = 1,
	_casper // not used but a real cute ghost
	};

	/// Define the flag that can be set to a node
	enum class NodeFlag : std::uint8_t {
	_normal = 0x00,
	_distributed = 0x01,
	_master = 0x03,
	_slave = 0x05,
	_pure_ghost = 0x09,
	_shared_mask = 0x0F,
	_periodic = 0x10,
	_periodic_master = 0x30,
	_periodic_slave = 0x50,
	_periodic_mask = 0xF0,
	_local_master_mask = 0xCC, // ~(_master & _periodic_mask)
	};

	inline NodeFlag operator&(const NodeFlag & a, const NodeFlag & b) {
	using under = std::underlying_type_t<NodeFlag>;
	return NodeFlag(under(a) & under(b));
	}

	inline NodeFlag operator\|(const NodeFlag & a, const NodeFlag & b) {
	using under = std::underlying_type_t<NodeFlag>;
	return NodeFlag(under(a) \| under(b));
	}

	inline NodeFlag & operator\|=(NodeFlag & a, const NodeFlag & b) {
	a = a \| b;
	return a;
	}

	inline NodeFlag & operator&=(NodeFlag & a, const NodeFlag & b) {
	a = a & b;
	return a;
	}

	inline NodeFlag operator~(const NodeFlag & a) {
	using under = std::underlying_type_t<NodeFlag>;
	return NodeFlag(~under(a));
	}

	std::ostream & operator<<(std::ostream & stream, NodeFlag flag);

	} // namespace akantu

	AKANTU_ENUM_HASH(GhostType)

	namespace akantu {
	/* -------------------------------------------------------------------------- */
	struct GhostType_def {
	using type = GhostType;
	static const type _begin_ = _not_ghost;
	static const type _end_ = _casper;
	};

	using ghost_type_t = safe_enum<GhostType_def>;
	namespace {
	constexpr ghost_type_t ghost_types{_casper};
	}

	/// standard output stream operator for GhostType
	// inline std::ostream & operator<<(std::ostream & stream, GhostType type);

	/* -------------------------------------------------------------------------- */
	/* Global defines */
	/* -------------------------------------------------------------------------- */
	#define AKANTU_MIN_ALLOCATION 2000

	#define AKANTU_INDENT ' '
	#define AKANTU_INCLUDE_INLINE_IMPL

	/* -------------------------------------------------------------------------- */
	#define AKANTU_SET_MACRO(name, variable, type) \
	inline void set##name(type variable) { this->variable = variable; }

	#define AKANTU_GET_MACRO(name, variable, type) \
	inline type get##name() const { return variable; }

	#define AKANTU_GET_MACRO_NOT_CONST(name, variable, type) \
	inline type get##name() { return variable; }

	#define AKANTU_GET_MACRO_DEREF_PTR(name, ptr) \
	inline const auto & get##name() const { \
	if (not(ptr)) { \
	AKANTU_EXCEPTION("The member " << #ptr << " is not initialized"); \
	} \
	return (*(ptr)); \
	}

	#define AKANTU_GET_MACRO_DEREF_PTR_NOT_CONST(name, ptr) \
	inline auto & get##name() { \
	if (not(ptr)) { \
	AKANTU_EXCEPTION("The member " << #ptr << " is not initialized"); \
	} \
	return (*(ptr)); \
	}

	#define AKANTU_GET_MACRO_BY_SUPPORT_TYPE(name, variable, type, support, con) \
	inline con Array<type> & get##name(const support & el_type, \
	GhostType ghost_type = _not_ghost) \
	con { /* NOLINT */ \
	return variable(el_type, ghost_type); \
	} // NOLINT

	#define AKANTU_GET_MACRO_BY_ELEMENT_TYPE(name, variable, type) \
	AKANTU_GET_MACRO_BY_SUPPORT_TYPE(name, variable, type, ElementType, )
	#define AKANTU_GET_MACRO_BY_ELEMENT_TYPE_CONST(name, variable, type) \
	AKANTU_GET_MACRO_BY_SUPPORT_TYPE(name, variable, type, ElementType, const)

	#define AKANTU_GET_MACRO_BY_GEOMETRIE_TYPE(name, variable, type) \
	AKANTU_GET_MACRO_BY_SUPPORT_TYPE(name, variable, type, GeometricalType, )
	#define AKANTU_GET_MACRO_BY_GEOMETRIE_TYPE_CONST(name, variable, type) \
	AKANTU_GET_MACRO_BY_SUPPORT_TYPE(name, variable, type, GeometricalType, const)

	/* -------------------------------------------------------------------------- */
	/// initialize the static part of akantu
	void initialize(int & argc, char **& argv);
	/// initialize the static part of akantu and read the global input_file
	void initialize(const std::string & input_file, int & argc, char **& argv);
	/* -------------------------------------------------------------------------- */
	/// finilize correctly akantu and clean the memory
	void finalize();
	/* -------------------------------------------------------------------------- */
	/// Read an new input file
	void readInputFile(const std::string & input_file);
	/* -------------------------------------------------------------------------- */

	/* -------------------------------------------------------------------------- */
	/* string manipulation */
	/* -------------------------------------------------------------------------- */
	inline std::string to_lower(const std::string & str);
	/* -------------------------------------------------------------------------- */
	inline std::string trim(const std::string & to_trim);
	inline std::string trim(const std::string & to_trim, char c);
	/* -------------------------------------------------------------------------- */

	/* -------------------------------------------------------------------------- */
	/// give a string representation of the a human readable size in bit
	template <typename T> std::string printMemorySize(UInt size);
	/* -------------------------------------------------------------------------- */

	struct TensorTrait {};
	struct TensorProxyTrait {};

	} // namespace akantu

	/* -------------------------------------------------------------------------- */
	/* Type traits */
	/* -------------------------------------------------------------------------- */
	namespace aka {

	/* ------------------------------------------------------------------------ */
	template <typename T> using is_tensor = std::is_base_of<akantu::TensorTrait, T>;
	template <typename T>
	using is_tensor_proxy = std::is_base_of<akantu::TensorProxyTrait, T>;
	/* ------------------------------------------------------------------------ */
	template <typename T> using is_scalar = std::is_arithmetic<T>;
	/* ------------------------------------------------------------------------ */
	template <typename R, typename T,
	std::enable_if_t<std::is_reference<T>::value> * = nullptr>
	bool is_of_type(T && t) {
	return (
	dynamic_cast<std::add_pointer_t<
	std::conditional_t<std::is_const<std::remove_reference_t<T>>::value,
	std::add_const_t<R>, R>>>(&t) != nullptr);
	}

	/* -------------------------------------------------------------------------- */
	template <typename R, typename T> bool is_of_type(std::unique_ptr<T> & t) {
	return (
	dynamic_cast<std::add_pointer_t<
	std::conditional_t<std::is_const<T>::value, std::add_const_t<R>, R>>>(
	t.get()) != nullptr);
	}

	/* ------------------------------------------------------------------------ */
	template <typename R, typename T,
	std::enable_if_t<std::is_reference<T>::value> * = nullptr>
	decltype(auto) as_type(T && t) {
	static_assert(
	disjunction<
	std::is_base_of<std::decay_t<T>, std::decay_t<R>>, // down-cast
	std::is_base_of<std::decay_t<R>, std::decay_t<T>> // up-cast
	>::value,
	"Type T and R are not valid for a as_type conversion");
	return dynamic_cast<std::add_lvalue_reference_t<
	std::conditional_t<std::is_const<std::remove_reference_t<T>>::value,
	std::add_const_t<R>, R>>>(t);
	}

	/* -------------------------------------------------------------------------- */
	template <typename R, typename T,
	std::enable_if_t<std::is_pointer<T>::value> * = nullptr>
	decltype(auto) as_type(T && t) {
	return &as_type<R>(*t);
	}

	/* -------------------------------------------------------------------------- */
	template <typename R, typename T>
	decltype(auto) as_type(const std::shared_ptr<T> & t) {
	return std::dynamic_pointer_cast<R>(t);
	}

	} // namespace aka

	#include "aka_common_inline_impl.hh"

	#include "aka_fwd.hh"

	namespace akantu {
	/// get access to the internal argument parser
	cppargparse::ArgumentParser & getStaticArgumentParser();

	/// get access to the internal input file parser
	Parser & getStaticParser();

	/// get access to the user part of the internal input file parser
	const ParserSection & getUserParser();

	#define AKANTU_CURRENT_FUNCTION \
	(std::string(__func__) + "():" + std::to_string(__LINE__))

	} // namespace akantu

	/* -------------------------------------------------------------------------- */
	#if AKANTU_INTEGER_SIZE == 4
	#define AKANTU_HASH_COMBINE_MAGIC_NUMBER 0x9e3779b9
	#elif AKANTU_INTEGER_SIZE == 8
	#define AKANTU_HASH_COMBINE_MAGIC_NUMBER 0x9e3779b97f4a7c13LL
	#endif

	namespace std {
	/**
	* Hashing function for pairs based on hash_combine from boost The magic
	* number is coming from the golden number @f[\phi = \frac{1 + \sqrt5}{2}@f]
	* @f[\frac{2^32}{\phi} = 0x9e3779b9@f]
	* http://stackoverflow.com/questions/4948780/magic-number-in-boosthash-combine
	* http://burtleburtle.net/bob/hash/doobs.html
	*/
	template <typename a, typename b> struct hash<std::pair<a, b>> {
	hash() = default;
	size_t operator()(const std::pair<a, b> & p) const {
	size_t seed = ah(p.first);
	return bh(p.second) + AKANTU_HASH_COMBINE_MAGIC_NUMBER + (seed << 6) +
	(seed >> 2);
	}

	private:
	const hash<a> ah{};
	const hash<b> bh{};
	};

	} // namespace std

	#endif // AKANTU_COMMON_HH_

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