Utility of Math. More...

#include <Math.hpp>

Static Public Member Functions
static auto	random () -> double
	Get a random value. More...

static auto	degree_to_radian (double) -> double
	Convert degree to radian. More...

static auto	radian_to_degree (double) -> double
	Convert radian to degree. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	minimum (const _Cont &container) -> IndexPair< T >
	Calculate minimum value with its index. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	maximum (const _Cont &container) -> IndexPair< T >
	Calculate maximum value with its index. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	mean (const _Cont &container) -> double
	Calculate average. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	median (const _Cont &container) -> double
	Get median value. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	mode (const _Cont &container) -> T
	Find mode value. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	stdev_p (const _Cont &container) -> double
	Square root of a variance_p. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	stdev_s (const _Cont &container) -> double
	Square root of a variance_s. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	variance_p (const _Cont &container) -> double
	Calculate standard deviation for all population. More...

template<typename _Cont , typename T = _Cont::value_type>
static auto	variance_s (const _Cont &container) -> double
	Calculate variance for sample. More...

Static Public Attributes
static const double	E = exp(1.0)
	Exponent. More...

static const double	PI = 3.141592653589793
	��, Number Pi More...

static const double	LN2 = 1.0 / log2(E)
	log_e2 More...

static const double	LN10 = 1.0 / log10(E)
	log_e10 More...

static const double	LOG2E = log2(E)
	log₂e More...

static const double	LOG10E = log10(E)
	log₁₀e More...

static const double	SQRT1_2 = sqrt(.5)
	Squart root of 0.5. More...

static const double	SQRT2 = sqrt(2.0)
	Squart root of 2. More...

Detailed Description

Utility of Math.

Provides some static values and mathmatical methods.

See also: samchon::library

Author: Jeongho Nam http://samchon.org

Definition at line 23 of file Math.hpp.

Member Function Documentation

auto Math::random ( ) -> double

static

Get a random value.

Returns a random value following uniform distribution

Returns: The random value

Definition at line 38 of file Math.cpp.

Referenced by samchon::library::GeneticAlgorithm< GeneArray, Compare, Gene >::crossover(), samchon::example::tsp::GeometryPoint::GeometryPoint(), samchon::library::GeneticAlgorithm< GeneArray, Compare, Gene >::mutate(), and samchon::library::GeneticAlgorithm< GeneArray, Compare, Gene >::selection().

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auto Math::degree_to_radian ( double val ) -> double

static

Convert degree to radian.

Definition at line 26 of file Math.cpp.

Referenced by samchon::example::tsp::GeometryPoint::calcDistance().

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auto Math::radian_to_degree ( double val ) -> double

static

Convert radian to degree.

Definition at line 30 of file Math.cpp.

Referenced by samchon::example::tsp::GeometryPoint::calcDistance().

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template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::minimum ( const _Cont & container ) -> IndexPair<T>

inlinestatic

Calculate minimum value with its index.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its minimum value

Returns: Pair of minimum value and its index

Definition at line 143 of file Math.hpp.

Referenced by samchon::library::StringUtil::substituteSQL().

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template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::maximum ( const _Cont & container ) -> IndexPair<T>

inlinestatic

Calculate maximum value with its index.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its minimum value

Returns: Pair of maximum value and its index

Definition at line 174 of file Math.hpp.

template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::mean ( const _Cont & container ) -> double

inlinestatic

Calculate average.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its mean

Returns: Average(mean) of the contaier

Definition at line 205 of file Math.hpp.

Referenced by variance_p(), and variance_s().

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template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::median ( const _Cont & container ) -> double

inlinestatic

Get median value.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its median

Returns: Median value of the container

Definition at line 226 of file Math.hpp.

template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::mode ( const _Cont & container ) -> T

inlinestatic

Find mode value.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its mode

Returns: Most appeared value in the container

Definition at line 258 of file Math.hpp.

template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::stdev_p ( const _Cont & container ) -> double

inlinestatic

Square root of a variance_p.

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its standard deviation

Returns: Standard deviation of the container

Definition at line 282 of file Math.hpp.

template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::stdev_s ( const _Cont & container ) -> double

inlinestatic

Square root of a variance_s.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its variance

Returns: Variance of the container

Definition at line 293 of file Math.hpp.

template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::variance_p ( const _Cont & container ) -> double

inlinestatic

Calculate standard deviation for all population.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its standard deviation

Returns: Standard deviation of the container

Definition at line 310 of file Math.hpp.

References mean().

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template<typename _Cont , typename T = _Cont::value_type>

static auto samchon::library::Math::variance_s ( const _Cont & container ) -> double

inlinestatic

Calculate variance for sample.

Template Parameters

_Cont	Type of the container
_Ty

Value type of the container.

Do not modify the default template argument.

Parameters

container Container to find its variance

Returns: Variance of the container

Definition at line 333 of file Math.hpp.

References mean().

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Member Data Documentation

const double Math::E = exp(1.0)

static

Exponent.

A mathematical constant for the base of natural logarithms, expressed as e. The approximate value of e is 2.71828182845905.

Definition at line 36 of file Math.hpp.

const double Math::PI = 3.141592653589793

static

��, Number Pi

A mathematical constant for the ratio of the circumference of a circle to its diameter, expressed as pi, with a value of 3.141592653589793.

Definition at line 45 of file Math.hpp.

const double Math::LN2 = 1.0 / log2(E)

static

log_e2

A mathematical constant for the natural logarithm of 2, expressed as log_e2, with an approximate value of 0.6931471805599453.

Definition at line 54 of file Math.hpp.

const double Math::LN10 = 1.0 / log10(E)

static

log_e10

A mathematical constant for the natural logarithm of 10, expressed as log_e10, with an approximate value of 2.302585092994046.

Definition at line 63 of file Math.hpp.

const double Math::LOG2E = log2(E)

static

log₂e

A mathematical constant for the base-2 logarithm of the constant e, expressed as log₂e, with an approximate value of 1.442695040888963387.

Definition at line 72 of file Math.hpp.

const double Math::LOG10E = log10(E)

static

log₁₀e

A mathematical constant for the base-10 logarithm of the constant e (Math.E), expressed as log₁₀e, with an approximate value of 0.4342944819032518. The Math.log() method computes the natural logarithm of a number. Multiply the result of Math.log() by Math.LOG10E to obtain the base-10 logarithm.

Definition at line 83 of file Math.hpp.

const double Math::SQRT1_2 = sqrt(.5)

static

Squart root of 0.5.

A mathematical constant for the square root of one-half, with an approximate value of 0.7071067811865476.

Definition at line 93 of file Math.hpp.

const double Math::SQRT2 = sqrt(2.0)

static

Squart root of 2.

A mathematical constant for the square root of 2, with an approximate value of 1.4142135623730951.

Definition at line 102 of file Math.hpp.

The documentation for this class was generated from the following files:

D:/OneDrive/Project/Samchon/framework/cpp/samchon/library/Math.hpp
D:/OneDrive/Project/Samchon/framework/cpp/samchon/library/Math.cpp

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

Member Data Documentation