Classes
struct	first_last_bad_bad_struct
	Structure for first_n, last_n, bad_first_n and bad_last_n values. More...

struct	n_bad_bad_struct
	Structure for n, first_n and last_n values. More...

Typedefs
using	nat_type = sigmaodd::nat_type

using	prime_type = sigmaodd::prime_type

typedef unsigned int	rank_type
	Type of MPI rank. More...

typedef struct mpi::first_last_bad_bad_struct	first_last_bad_bad_type
	Structure for first_n, last_n, bad_first_n and bad_last_n values. More...

typedef struct mpi::n_bad_bad_struct	n_bad_bad_type
	Structure for n, first_n and last_n values. More...

Functions
std::set< nat_type >	mpi_check_gentle_varsigma_odd__dynamic (nat_type first_n, nat_type last_n, const std::set< nat_type > &previous_bad_table=std::set< nat_type >(), bool print_bad=true, unsigned int range_size=20000, unsigned int master_range_size=200)
	Check in the order all odd gentle numbers between first_n and last_n, and if print_bad then print all bad numbers between first_n and last_n (included). The consequence of the result is that: if (all numbers < first_n respect the conjecture) and (all perfect squares < last_n respect the conjecture) and (all bad numbers < last_n respect the conjecture) then all numbers < last_n respect the conjecture. More...

std::set< nat_type >	mpi_check_gentle_varsigma_odd__one_by_one (nat_type first_n, nat_type last_n, const std::set< nat_type > &previous_bad_table, bool print_bad)

bool	mpi_slave_wait_compute_n ()
	Computation of one n by a slave, for the mpi_check_gentle_varsigma_odd__one_by_one() master function. More...

bool	mpi_slave_wait_compute_range ()
	Computation of one range by a slave, for the mpi_check_gentle_varsigma_odd__dynamic() master function. More...

void	print_mpi_versions ()
	Print the Open MPI version and the library version. More...

void	send_bad_table_to (const std::set< nat_type > &bad_table, rank_type to_rank)
	Send bad values to a process. More...

std::set< nat_type >	wait_bad_table_from (rank_type from_rank)
	Wait and receive bad values from a process. More...

bool	is_finished_from (rank_type from_rank)
	Return true iff the process send an empty finished message. More...

constexpr bool	is_master (rank_type rank)
	Return true iff rank correspond to the master instance. More...

unsigned int	mpi_nb_process ()
	Return the number of process. More...

std::string	mpi_processor_name ()
	Return the processor name. More...

unsigned int	mpi_rank ()
	Return the rank of this process. More...

void	send_bool_to_master (bool b)
	Send a boolean value to the master. More...

void	send_finished_to_master ()
	Send a finished empty message to the master. More...

void	send_first_last_bad_bad_to (nat_type first_n, nat_type last_n, nat_type bad_first_n, nat_type bad_last_n, rank_type to_rank)
	Send first_n, last_n, bad_first and bad_last_n to a process. More...

void	send_n_bad_bad_to (nat_type n, nat_type first_n, nat_type last_n, rank_type to_rank)
	Send n, first_n and last_n to a process. More...

void	send_n_to (nat_type n, rank_type to_rank)
	Send a value to a process. More...

void	send_range_to (nat_type first_n, nat_type last_n, rank_type to_rank)
	Send a range (first_n, last_n) to a process. More...

void	send_size_to (unsigned int size, rank_type to_rank)
	Send a size to a process. More...

bool	wait_bool_from (rank_type from_rank)
	Wait and receive a boolean value from a process. More...

void	wait_finished_from (rank_type from_rank)
	Wait and received a finished empty message from a process. More...

first_last_bad_bad_type	wait_first_last_bad_bad_from_master ()
	Wait and receive values first_n, last_n and bad_last_n from the master. More...

n_bad_bad_type	wait_n_bad_bad_from_master ()
	Wait and receive values n, first_n and last_n from the master. More...

nat_type	wait_n_from_master ()
	Wait and receive a value from the master. More...

std::pair< nat_type, nat_type >	wait_range_from_master ()
	Wait and receive a range (first_n, last_n) from the master. More...

unsigned int	wait_size_from (rank_type from_rank)
	Wait and receive a size from a process. More...

Typedef Documentation

◆ first_last_bad_bad_type

typedef struct mpi::first_last_bad_bad_struct mpi::first_last_bad_bad_type

Structure for first_n, last_n, bad_first_n and bad_last_n values.

◆ n_bad_bad_type

typedef struct mpi::n_bad_bad_struct mpi::n_bad_bad_type

Structure for n, first_n and last_n values.

◆ nat_type

using mpi::nat_type = typedef sigmaodd::nat_type

Definition at line 31 of file mpi.hpp.

◆ prime_type

using mpi::prime_type = typedef sigmaodd::prime_type

Definition at line 32 of file mpi.hpp.

◆ rank_type

typedef unsigned int mpi::rank_type

Type of MPI rank.

Definition at line 43 of file mpi.hpp.

Function Documentation

◆ is_finished_from()

bool mpi::is_finished_from ( rank_type from_rank )

inline

Return true iff the process send an empty finished message.

Definition at line 38 of file mpi__inline.hpp.

◆ is_master()

constexpr bool mpi::is_master ( rank_type rank )

Return true iff rank correspond to the master instance.

Definition at line 27 of file mpi__inline.hpp.

◆ mpi_check_gentle_varsigma_odd__dynamic()

std::set< nat_type > mpi::mpi_check_gentle_varsigma_odd__dynamic	(	nat_type	first_n,
		nat_type	last_n,
		const std::set< nat_type > &	previous_bad_table = `std::set< nat_type >()`,
		bool	print_bad = `true`,
		unsigned int	range_size = `20000`,
		unsigned int	master_range_size = `200`
	)

Check in the order all odd gentle numbers between first_n and last_n, and if print_bad then print all bad numbers between first_n and last_n (included). The consequence of the result is that: if (all numbers < first_n respect the conjecture) and (all perfect squares < last_n respect the conjecture) and (all bad numbers < last_n respect the conjecture) then all numbers < last_n respect the conjecture.

One master process dispatch one range of numbers for each of the (nb_process - 1) slaves process and compute itself one range. There is no barrier, the master process dispatch new range for free slave process and compute itself one new range. And so forth with next numbers.

Printing is do in increasing order.

sigmaodd::primes.cpp must be compiled without the macro PRIME16.

Parameters

first_n	3 <= odd <= last_n
last_n	<= MAX_POSSIBLE_N
previous_bad_table	if not empty then must be contains all bad numbers < first_n
print_bad
range_size	even
master_range_size	even

Returns: the set of all bad numbers between first_n and last_n (included)

Definition at line 28 of file mpi.cpp.

◆ mpi_check_gentle_varsigma_odd__one_by_one()

std::set< nat_type > mpi::mpi_check_gentle_varsigma_odd__one_by_one	(	nat_type	first_n,
		nat_type	last_n,
		const std::set< nat_type > &	previous_bad_table = `std::set< nat_type >()`,
		bool	print_bad = `true`
	)

Check in the order all odd gentle numbers between first_n and last_n, and if print_bad then print all bad numbers between first_n and last_n (included). The consequence of the result is that: if (all numbers < first_n respect the conjecture) and (all perfect squares < last_n respect the conjecture) and (all bad numbers < last_n respect the conjecture) then all numbers < last_n respect the conjecture.

One master process dispatch one number for each of the (nb_process - 1) slaves process and compute itself one number. Then wait that they all finish, and so forth with next numbers.

Printing is do in not deterministic order.

sigmaodd::primes.cpp must be compiled without the macro PRIME16.

Parameters

first_n	3 <= odd <= last_n
last_n	<= MAX_POSSIBLE_N
previous_bad_table	if not empty then must be contains all bad numbers < first_n
print_bad

Returns: the set of all bad numbers between first_n and last_n (included)

Definition at line 147 of file mpi.cpp.

◆ mpi_nb_process()

unsigned int mpi::mpi_nb_process ( )

inline

Return the number of process.

Definition at line 52 of file mpi__inline.hpp.

◆ mpi_processor_name()

std::string mpi::mpi_processor_name ( )

inline

Return the processor name.

Definition at line 66 of file mpi__inline.hpp.

◆ mpi_rank()

unsigned int mpi::mpi_rank ( )

inline

Return the rank of this process.

Definition at line 78 of file mpi__inline.hpp.

◆ mpi_slave_wait_compute_n()

bool mpi::mpi_slave_wait_compute_n ( )

Computation of one n by a slave, for the mpi_check_gentle_varsigma_odd__one_by_one() master function.

Definition at line 237 of file mpi.cpp.

◆ mpi_slave_wait_compute_range()

bool mpi::mpi_slave_wait_compute_range ( )

Computation of one range by a slave, for the mpi_check_gentle_varsigma_odd__dynamic() master function.

Definition at line 265 of file mpi.cpp.

◆ print_mpi_versions()

void mpi::print_mpi_versions ( )

Print the Open MPI version and the library version.

Definition at line 300 of file mpi.cpp.

◆ send_bad_table_to()

void mpi::send_bad_table_to	(	const std::set< nat_type > &	bad_table,
		rank_type	to_rank
	)

Send bad values to a process.

Definition at line 315 of file mpi.cpp.

◆ send_bool_to_master()

void mpi::send_bool_to_master ( bool b )

inline

Send a boolean value to the master.

Definition at line 92 of file mpi__inline.hpp.

◆ send_finished_to_master()

void mpi::send_finished_to_master ( )

inline

Send a finished empty message to the master.

Definition at line 104 of file mpi__inline.hpp.

◆ send_first_last_bad_bad_to()

void mpi::send_first_last_bad_bad_to	(	nat_type	first_n,
		nat_type	last_n,
		nat_type	bad_first_n,
		nat_type	bad_last_n,
		rank_type	to_rank
	)

inline

Send first_n, last_n, bad_first and bad_last_n to a process.

Definition at line 114 of file mpi__inline.hpp.

◆ send_n_bad_bad_to()

void mpi::send_n_bad_bad_to	(	nat_type	n,
		nat_type	first_n,
		nat_type	last_n,
		rank_type	to_rank
	)

inline

Send n, first_n and last_n to a process.

Definition at line 130 of file mpi__inline.hpp.

◆ send_n_to()

void mpi::send_n_to	(	nat_type	n,
		rank_type	to_rank
	)

inline

Send a value to a process.

Definition at line 145 of file mpi__inline.hpp.

◆ send_range_to()

void mpi::send_range_to	(	nat_type	first_n,
		nat_type	last_n,
		rank_type	to_rank
	)

inline

Send a range (first_n, last_n) to a process.

Definition at line 157 of file mpi__inline.hpp.

◆ send_size_to()

void mpi::send_size_to	(	unsigned int	size,
		rank_type	to_rank
	)

inline

Send a size to a process.

Definition at line 171 of file mpi__inline.hpp.

◆ wait_bad_table_from()

std::set< nat_type > mpi::wait_bad_table_from ( rank_type from_rank )

Wait and receive bad values from a process.

Definition at line 332 of file mpi.cpp.

◆ wait_bool_from()

bool mpi::wait_bool_from ( rank_type from_rank )

inline

Wait and receive a boolean value from a process.

Definition at line 183 of file mpi__inline.hpp.

◆ wait_finished_from()

void mpi::wait_finished_from ( rank_type from_rank )

inline

Wait and received a finished empty message from a process.

Definition at line 197 of file mpi__inline.hpp.

◆ wait_first_last_bad_bad_from_master()

first_last_bad_bad_type mpi::wait_first_last_bad_bad_from_master ( )

inline

Wait and receive values first_n, last_n and bad_last_n from the master.

Definition at line 207 of file mpi__inline.hpp.

◆ wait_n_bad_bad_from_master()

n_bad_bad_type mpi::wait_n_bad_bad_from_master ( )

inline

Wait and receive values n, first_n and last_n from the master.

Definition at line 223 of file mpi__inline.hpp.

◆ wait_n_from_master()

nat_type mpi::wait_n_from_master ( )

inline

Wait and receive a value from the master.

Definition at line 239 of file mpi__inline.hpp.

◆ wait_range_from_master()

std::pair< nat_type, nat_type > mpi::wait_range_from_master ( )

inline

Wait and receive a range (first_n, last_n) from the master.

Definition at line 255 of file mpi__inline.hpp.

◆ wait_size_from()

unsigned int mpi::wait_size_from ( rank_type from_rank )

inline

Wait and receive a size from a process.

Definition at line 271 of file mpi__inline.hpp.

Classes

Typedefs

Functions

Typedef Documentation

◆ first_last_bad_bad_type

◆ n_bad_bad_type

◆ nat_type

◆ prime_type

◆ rank_type

Function Documentation

◆ is_finished_from()

◆ is_master()

◆ mpi_check_gentle_varsigma_odd__dynamic()

◆ mpi_check_gentle_varsigma_odd__one_by_one()

◆ mpi_nb_process()

◆ mpi_processor_name()

◆ mpi_rank()

◆ mpi_slave_wait_compute_n()

◆ mpi_slave_wait_compute_range()

◆ print_mpi_versions()

◆ send_bad_table_to()

◆ send_bool_to_master()

◆ send_finished_to_master()

◆ send_first_last_bad_bad_to()

◆ send_n_bad_bad_to()

◆ send_n_to()

◆ send_range_to()

◆ send_size_to()

◆ wait_bad_table_from()

◆ wait_bool_from()

◆ wait_finished_from()

◆ wait_first_last_bad_bad_from_master()

◆ wait_n_bad_bad_from_master()

◆ wait_n_from_master()

◆ wait_range_from_master()

◆ wait_size_from()