lib_3np1_mod.hpp File Reference

Function definitions. More...

#include <cstdint>
#include <set>
#include <vector>
#include "lib_3np1_mod__inline.hpp"

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Namespaces
	lib_3np1_mod

Typedefs
typedef uint64_t	lib_3np1_mod::value_type
typedef value_type(*	lib_3np1_mod::operation_type) (value_type)
typedef value_type(*	lib_3np1_mod::operation_mask_type) (value_type, value_type)

Functions
value_type	lib_3np1_mod::C (value_type n)
	Collatz C function. More...
value_type	lib_3np1_mod::C_mask (value_type n, value_type mask)
	Return \(C(n) = \frac{n}{2}\) if n even, \(C(n) = (3n + 1) \& mask\) if n odd. More...
value_type	lib_3np1_mod::m2 (value_type n)
	\(m_2\) function. More...
value_type	lib_3np1_mod::F (value_type n)
	F odd function. More...
value_type	lib_3np1_mod::F_mask (value_type n, value_type mask)
	Return \(F(0) = 0\) \(F(n) = \frac{n}{2^k}\) if n even \(F(n) = \frac{(3n + 1) \& mask}{2^k}\) if n odd which k as large as possible = \(m_2(...)\). More...
std::set< value_type >	lib_3np1_mod::search_mask_exceptions (value_type mask)
	Calculate and return all null and odd exceptions for the 3n + 1 problem with modulo (mask + 1). More...
std::set< value_type >	lib_3np1_mod::search_mask_exceptions_32 ()
	Calculate and return all null and odd exceptions for the 3n + 1 problem with modulo \(2^32\). More...
std::set< value_type >	lib_3np1_mod::search_mask_exceptions_64 ()
	Calculate and return all null and odd exceptions for the 3n + 1 problem with modulo \(2^32\). More...
std::vector< value_type >	lib_3np1_mod::start_path_mask (value_type n, operation_mask_type operation_mask, value_type mask)
	Given operation, return the start of path from n to the first value < n or to the first repeated value. More...
value_type	lib_3np1_mod::T (value_type n)
	Terras T function. More...
value_type	lib_3np1_mod::T_mask (value_type n, value_type mask)
	Return \(T(n) = \frac{n}{2}\) if n even \(T(n) = \frac{(3n + 1) \& mask}{2}\) if n odd. More...

Detailed Description

Function definitions.

Definition in file lib_3np1_mod.hpp.