Utility of Math. More...

#include <Math.hpp>

Static Public Member Functions
static auto	E () -> double
	Exponent. More...

static auto	PI () -> double
	��, Number Pi More...

static auto	LN2 () -> double
	log_e2 More...

static auto	LN10 () -> double
	log_e10 More...

static auto	LOG2E () -> double
	log₂e More...

static auto	LOG10E () -> double
	log₁₀e More...

static auto	SQRT1_2 () -> double
	Squart root of 0.5. More...

static auto	SQRT2 () -> double
	Squart root of 2. More...

static auto	random () -> double
	Get a random value. More...

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

static auto	radian_to_degree (double val) -> 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...

Detailed Description

Utility of Math.

Provides some static values and mathmatical methods.

Author: Jeongho Nam http://samchon.org

Definition at line 22 of file Math.hpp.

Member Function Documentation

static auto samchon::library::Math::E ( ) -> double

inlinestatic

Exponent.

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

Definition at line 35 of file Math.hpp.

Referenced by LN10(), LN2(), LOG10E(), and LOG2E().

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static auto samchon::library::Math::PI ( ) -> double

inlinestatic

��, 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 47 of file Math.hpp.

Referenced by degree_to_radian(), and radian_to_degree().

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static auto samchon::library::Math::LN2 ( ) -> double

inlinestatic

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 59 of file Math.hpp.

References E().

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static auto samchon::library::Math::LN10 ( ) -> double

inlinestatic

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 71 of file Math.hpp.

References E().

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static auto samchon::library::Math::LOG2E ( ) -> double

inlinestatic

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 83 of file Math.hpp.

References E().

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static auto samchon::library::Math::LOG10E ( ) -> double

inlinestatic

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 97 of file Math.hpp.

References E().

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static auto samchon::library::Math::SQRT1_2 ( ) -> double

inlinestatic

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 109 of file Math.hpp.

static auto samchon::library::Math::SQRT2 ( ) -> double

inlinestatic

Squart root of 2.

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

Definition at line 121 of file Math.hpp.

static auto samchon::library::Math::random ( ) -> double

inlinestatic

Get a random value.

Returns a random value following uniform distribution

Returns: The random value

Definition at line 135 of file Math.hpp.

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

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static auto samchon::library::Math::degree_to_radian ( double val ) -> double

inlinestatic

Convert degree to radian.

Definition at line 149 of file Math.hpp.

References PI().

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

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static auto samchon::library::Math::radian_to_degree ( double val ) -> double

inlinestatic

Convert radian to degree.

Definition at line 157 of file Math.hpp.

References PI().

Referenced by samchon::examples::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 177 of file Math.hpp.

Referenced by samchon::WeakString::finds(), samchon::WeakString::rtrim(), and 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 208 of file Math.hpp.

Referenced by samchon::WeakString::rfinds(), and samchon::WeakString::rtrim().

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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 239 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 260 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 292 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 316 of file Math.hpp.

References variance_p().

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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 327 of file Math.hpp.

References variance_s().

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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 344 of file Math.hpp.

References mean().

Referenced by stdev_p().

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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 367 of file Math.hpp.

References mean().

Referenced by stdev_s().

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

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

Static Public Member Functions

Detailed Description

Member Function Documentation