figurate_number.cpp File Reference

Primary module interface unit for module figurate_number. More...

import base;

Include dependency graph for figurate_number.cpp:

Functions
template<Integer T>
constexpr T	ntlib::k_gonal_number (T k, T n) noexcept
	Computes the n-th k-gonal number.
template<Integer T>
constexpr T	ntlib::centered_k_gonal_number (T k, T n) noexcept
	Computes the n-th centered k-gonal number.
template<Integer T>
constexpr T	ntlib::cube_number (T n) noexcept
	Computes the n-th cube number.
template<Integer T>
constexpr T	ntlib::octahedral_number (T n) noexcept
	Computes the n-th octahedral number.
template<Integer T>
constexpr T	ntlib::dodecahedral_number (T n) noexcept
	Computes the n-th docecahedral number.
template<Integer T>
constexpr T	ntlib::icosahedral_number (T n) noexcept
	Computes the n-th icosahedral number.
template<Integer T>
constexpr T	ntlib::centered_tetrahedral_number (T n) noexcept
	Computes the n-th centered tetrahedral number.
template<Integer T>
constexpr T	ntlib::centered_cube_number (T n) noexcept
	Computes the n-th centered cube number.
template<Integer T>
constexpr T	ntlib::centered_octahedral_number (T n) noexcept
	Computes the n-th centered octahedral number.
template<Integer T>
constexpr T	ntlib::centered_dodecahedral_number (T n) noexcept
	Computes the n-th centered dodecahedral number.
template<Integer T>
constexpr T	ntlib::centered_icosahedral_number (T n) noexcept
	Computes the n-th centered icosahedral number.
template<Integer T>
constexpr T	ntlib::k_gonal_pyramidal_number (T k, T n) noexcept
	Computes the n-th k-gonal pyramidal number.

Detailed Description

Primary module interface unit for module figurate_number.

Function Documentation

centered_cube_number()

template<Integer T>

T ntlib::centered_cube_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th centered cube number.

Template Parameters

T	An integer-like type.

Parameters

n	Which centered cube number to generate.

Returns

The n-th centered cube number.

centered_dodecahedral_number()

template<Integer T>

T ntlib::centered_dodecahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th centered dodecahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which centered dodecahedral number to generate.

Returns

The n-th centered dodecahedral number.

centered_icosahedral_number()

template<Integer T>

T ntlib::centered_icosahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th centered icosahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which centered icosahedral number to generate.

Returns

The n-th centered icosahedral number.

centered_k_gonal_number()

template<Integer T>

T ntlib::centered_k_gonal_number ( T k, T n )

nodiscardconstexprexportnoexcept

Computes the n-th centered k-gonal number.

Template Parameters

T	An integer-like type.

Parameters

k	The number of sides of the polygon.
n	Which centered k-gonal number to generate.

Returns

The n-th centered k-gonal number.

centered_octahedral_number()

template<Integer T>

T ntlib::centered_octahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th centered octahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which centered octahedral number to generate.

Returns

The n-th centered octahedral number.

centered_tetrahedral_number()

template<Integer T>

T ntlib::centered_tetrahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th centered tetrahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which centered tetrahedral number to generate.

Returns

The n-th centered tetrahedral number.

cube_number()

template<Integer T>

T ntlib::cube_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th cube number.

Template Parameters

T	An integer-like type.

Parameters

n	Which cube number to generate.

Returns

The n-th cube number.

dodecahedral_number()

template<Integer T>

T ntlib::dodecahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th docecahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which docecahedral number to generate.

Returns

The n-th docecahedral number.

icosahedral_number()

template<Integer T>

T ntlib::icosahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th icosahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which icosahedral number to generate.

Returns

The n-th icosahedral number.

k_gonal_number()

template<Integer T>

T ntlib::k_gonal_number ( T k, T n )

nodiscardconstexprexportnoexcept

Computes the n-th k-gonal number.

Template Parameters

T	An integer-like type.

Parameters

k	The number of sides of the polygon.
n	Which k-gonal number to generate.

Returns

The n-th k-gonal number.

k_gonal_pyramidal_number()

template<Integer T>

T ntlib::k_gonal_pyramidal_number ( T k, T n )

nodiscardconstexprexportnoexcept

Computes the n-th k-gonal pyramidal number.

Template Parameters

T	An integer-like type.

Parameters

k	The number of sides of the polygonal base.
n	Which k-gonal pyramidal number to generate.

Returns

The n-th k-gonal pyramidal number.

octahedral_number()

template<Integer T>

T ntlib::octahedral_number ( T n )

nodiscardconstexprexportnoexcept

Computes the n-th octahedral number.

Template Parameters

T	An integer-like type.

Parameters

n	Which octahedral number to generate.

Returns

The n-th octahedral number.