Public Member Functions
template<>
float	Min_ (float val1, float val2)

template<>
double	Min_ (double val1, double val2)

template<>
float	Max_ (float val1, float val2)

template<>
double	Max_ (double val1, double val2)

Static Public Member Functions
static ASPOSECPP_SHARED_API double	Acos (double d)

static ASPOSECPP_SHARED_API double	Asin (double d)

static ASPOSECPP_SHARED_API double	Atan (double d)

static ASPOSECPP_SHARED_API double	Atan2 (double y, double x)

static ASPOSECPP_SHARED_API Decimal	Ceiling (const Decimal &d)

static ASPOSECPP_SHARED_API double	Ceiling (double a)

static ASPOSECPP_SHARED_API double	Cos (double d)

static ASPOSECPP_SHARED_API double	Cosh (double value)

static ASPOSECPP_SHARED_API Decimal	Floor (const Decimal &d)

static ASPOSECPP_SHARED_API double	Floor (double d)

static ASPOSECPP_SHARED_API double	Sin (double a)

static ASPOSECPP_SHARED_API double	Tan (double a)

static ASPOSECPP_SHARED_API double	Sinh (double value)

static ASPOSECPP_SHARED_API double	Tanh (double value)

static ASPOSECPP_SHARED_API double	Round (double a)

static ASPOSECPP_SHARED_API double	Round (double value, int digits)

static ASPOSECPP_SHARED_API double	Round (double value, MidpointRounding mode)

static ASPOSECPP_SHARED_API double	Round (double value, int digits, MidpointRounding mode)

static ASPOSECPP_SHARED_API Decimal	Round (const Decimal &d)

static ASPOSECPP_SHARED_API Decimal	Round (const Decimal &value, int digits)

static ASPOSECPP_SHARED_API Decimal	Round (const Decimal &d, MidpointRounding mode)

static ASPOSECPP_SHARED_API Decimal	Round (const Decimal &d, int digits, MidpointRounding mode)

static ASPOSECPP_SHARED_API Decimal	Truncate (const Decimal &d)

static ASPOSECPP_SHARED_API double	Truncate (double d)

static ASPOSECPP_SHARED_API double	Sqrt (double d)

static ASPOSECPP_SHARED_API double	Log (double d)

static ASPOSECPP_SHARED_API double	Log10 (double d)

static ASPOSECPP_SHARED_API double	Exp (double d)

static ASPOSECPP_SHARED_API double	Pow (double x, double y)

static ASPOSECPP_SHARED_API double	IEEERemainder (double x, double y)

template<class T >
static T	Abs (T value)

static Decimal	Abs (const Decimal &d)

static ASPOSECPP_SHARED_API double	Log (double a, double newBase)

template<typename T >
static std::enable_if< std::is_integral< T >::value &&!std::is_unsigned< T >::value, int >::type	Sign (T value)

template<typename T >
static std::enable_if< std::is_floating_point< T >::value, int >::type	Sign (T value)

static int	Sign (const Decimal &value)

static ASPOSECPP_SHARED_API int64_t	BigMul (int a, int b)

static ASPOSECPP_SHARED_API int	DivRem (int a, int b, int &result)

static ASPOSECPP_SHARED_API int64_t	DivRem (int64_t a, int64_t b, int64_t &result)

template<class T >
static T	Modulus (T x, T y)

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>
static auto	Min (T0 val1, T1 val2) -> decltype(val1+val2)

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>
static T0	Min (T0 val1, T1 val2)

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>
static auto	Max (T0 val1, T1 val2) -> decltype(val1+val2)

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>
static T0	Max (T0 val1, T1 val2)

Static Public Attributes
static const double ASPOSECPP_SHARED_API	PI
	The number Pi constant. More...

static const double ASPOSECPP_SHARED_API	E
	Natural logarithm's base. More...

static const double ASPOSECPP_SHARED_API	PositiveInfinity
	Represents the positive infinity. More...

static const double ASPOSECPP_SHARED_API	NegativeInfinity
	Represents the negative infinity. More...

static const double ASPOSECPP_SHARED_API	NaN
	Represents a not-a-number value. More...

Detailed Description

Contains math functions. This is a static type with no instance services. You should never create instances of it by any means.

   #include "system/math.h"
   #include <iostream>
  
   int main()
   {
     using namespace System;
  
     // Print the absolute values.
     for (int i = -1; i < 2; ++i)
     {
       std::cout << Math::Abs(i) << " ";
     }
     std::cout << std::endl;
  
     // Print the sine of PI/2 and the cosine of PI.
     std::cout << "sin(PI/2)=" << Math::Sin(Math::PI/2) << "; cos(PI)=" << Math::Cos(Math::PI) << std::endl;
  
     return 0;
   }
   /*
*  This code example produces the following output:
*  1 0 1
*  sin(PI/2)=1; cos(PI)=-1
   */

Member Function Documentation

◆ Abs() [1/2]

template<class T >

static T System::Math::Abs ( T value )

inlinestatic

Returns the absolute value of the specified value

Parameters

value A value of arithmetic type

Returns: The absolute value of value

Template Parameters

T	The type of the value accepted by the method as an argument

◆ Abs() [2/2]

static Decimal System::Math::Abs ( const Decimal & d )

inlinestatic

Returns the absolute value of a value represented by the specified Decimal object

Parameters

d	A Decimal object

Returns: The Decimal object representing the absolute value of the value represented by value

◆ Acos()

static ASPOSECPP_SHARED_API double System::Math::Acos ( double d )

static

Calculates the arccosine of the specified value.

Parameters

d	The value to calculate arccosine of

Returns: Arccosine of d

◆ Asin()

static ASPOSECPP_SHARED_API double System::Math::Asin ( double d )

static

Calculates the arcsin of the specified value.

Parameters

d	The value to calculate arcsin of

Returns: Arcsin of d

◆ Atan()

static ASPOSECPP_SHARED_API double System::Math::Atan ( double d )

static

Calculates the arctan of the specified value.

Parameters

d	The value to calculate arctan of

Returns: Arctan of d

◆ Atan2()

static ASPOSECPP_SHARED_API double System::Math::Atan2	(	double	y,
		double	x
	)

static

Calculates the arctan of the ration of the specified values.

Parameters

y	The point's y coordinate
x	The point's x coordinate

Returns: Arctan of y/x

◆ BigMul()

static ASPOSECPP_SHARED_API int64_t System::Math::BigMul	(	int	a,
		int	b
	)

static

Returns the full product of two 32-bit integers.

Parameters

a	The first multiplier
b	The second multiplier

Returns: The product of a and b

◆ Ceiling() [1/2]

static ASPOSECPP_SHARED_API Decimal System::Math::Ceiling ( const Decimal & d )

static

Returns the smallest integral value that is greater than or equal to the specified value.

Parameters

d	A decimal number

Returns: The smallest integral value that is greater than or equal to d

◆ Ceiling() [2/2]

static ASPOSECPP_SHARED_API double System::Math::Ceiling ( double a )

static

Returns the smallest integral value that is greater than or equal to the specified value.

Parameters

a	A double-precision floating point number

Returns: The smallest integral value that is greater than or equal to d

◆ Cos()

static ASPOSECPP_SHARED_API double System::Math::Cos ( double d )

static

Calculates the cosine of the specified value.

Parameters

d	The value to calculate the cosine of

Returns: The cosine of d

◆ Cosh()

static ASPOSECPP_SHARED_API double System::Math::Cosh ( double value )

static

Calculates the hyperbolic cosine of the specified value.

Parameters

value The value to calculate the hyperbolic cosine of

Returns: The hyperbolic cosine of value

◆ DivRem() [1/2]

static ASPOSECPP_SHARED_API int System::Math::DivRem	(	int	a,
		int	b,
		int &	result
	)

static

Calculates the quotient of two 32-bit integers and the remainder.

Parameters

a	The dividend
b	The divisor
result	The output parameter that contains the remainder resulting from division of `a` by `b`

Returns: The quoting of a and b

◆ DivRem() [2/2]

static ASPOSECPP_SHARED_API int64_t System::Math::DivRem	(	int64_t	a,
		int64_t	b,
		int64_t &	result
	)

static

Calculates the quotient of two 64-bit integers and the remainder.

Parameters

a	The dividend
b	The divisor
result	The output parameter that contains the remainder resulting from division of `a` by `b`

Returns: The quoting of a and b

◆ Exp()

static ASPOSECPP_SHARED_API double System::Math::Exp ( double d )

static

Returns e constant raised to the specified power.

Parameters

d	The power to raise e constant to

Returns: e constant raised to the power of d

◆ Floor() [1/2]

static ASPOSECPP_SHARED_API Decimal System::Math::Floor ( const Decimal & d )

static

Returns the largest integral value that is less than or equal to the specified value.

Parameters

d	A decimal number

Returns: The largest integral value that is less than or equal to d

◆ Floor() [2/2]

static ASPOSECPP_SHARED_API double System::Math::Floor ( double d )

static

Returns the largest integral value that is less than or equal to the specified value.

Parameters

d	A double-precision floating point number

Returns: The largest integral value that is less than or equal to d

◆ IEEERemainder()

static ASPOSECPP_SHARED_API double System::Math::IEEERemainder	(	double	x,
		double	y
	)

static

Returns the remainder resulting from the division of a specified number by another specified number.

Parameters

x	Dividend
y	Divisor

Returns: The remainder resulting from the division of a specified number by another specified number.

◆ Log() [1/2]

static ASPOSECPP_SHARED_API double System::Math::Log ( double d )

static

Returns the natural logarithm of the specified value.

Parameters

d	A double-precision floating point value

Returns: The natural logarithm of d

◆ Log() [2/2]

static ASPOSECPP_SHARED_API double System::Math::Log	(	double	a,
		double	newBase
	)

static

Returns the logarithm of the specified value in the specified base.

Parameters

a	A double-precision floating point value
newBase	The base of the logarithm

Returns: The logarithm of a in the newBase base

◆ Log10()

static ASPOSECPP_SHARED_API double System::Math::Log10 ( double d )

static

Returns the base-10 logarithm of the specified value.

Parameters

d	A double-precision floating point value

Returns: The base-10 logarithm of d

◆ Max() [1/2]

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>

static auto System::Math::Max	(	T0	val1,
		T1	val2
	)		-> decltype(val1 + val2)

inlinestatic

Returns the greatest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Greatest value out of val1 and val2.

◆ Max() [2/2]

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>

static T0 System::Math::Max	(	T0	val1,
		T1	val2
	)

inlinestatic

Returns the greatest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Greatest value out of val1 and val2.

◆ Max_() [1/2]

template<>

float System::Math::Max_	(	float	val1,
		float	val2
	)

inline

Returns the largest single-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The largest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Max_() [2/2]

template<>

double System::Math::Max_	(	double	val1,
		double	val2
	)

inline

Returns the largest double-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The largest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Min() [1/2]

template<class T0 , class T1 , class = typename std::enable_if<!std::is_same<T0, T1>::value, void>::type>

static auto System::Math::Min	(	T0	val1,
		T1	val2
	)		-> decltype(val1 + val2)

inlinestatic

Returns the smallest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Smallest value out of val1 and val2.

◆ Min() [2/2]

template<class T0 , class T1 , class = typename std::enable_if<std::is_same<T0, T1>::value, void>::type>

static T0 System::Math::Min	(	T0	val1,
		T1	val2
	)

inlinestatic

Returns the smallest value out of two numeric ones specified.

Template Parameters

T0	Type of first value.
T1	Type of second value.

Parameters

val1	First value.
val2	Second value.

Returns: Smallest value out of val1 and val2.

◆ Min_() [1/2]

template<>

float System::Math::Min_	(	float	val1,
		float	val2
	)

inline

Returns the smallest single-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The smallest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Min_() [2/2]

template<>

double System::Math::Min_	(	double	val1,
		double	val2
	)

inline

Returns the smallest double-precision floating point value out of the two specified.

Parameters

val1	The first comparand
val2	The second comparand

Returns: The smallest value out of val1 and val2; or NaN if one of the operands is NaN

◆ Modulus()

template<class T >

static T System::Math::Modulus	(	T	x,
		T	y
	)

inlinestatic

Calculates the remainder resulting from the division one specified value by another specified value.

Parameters

x	The dividend
y	The divisor

Returns: The reminder resulting from the division of x by y

Template Parameters

T	The type of the method's arguments

◆ Pow()

static ASPOSECPP_SHARED_API double System::Math::Pow	(	double	x,
		double	y
	)

static

Returns the specified value raised to the specified power.

Parameters

x	The value to raise to the specified power
y	The power to raise the specified value to

Returns: x raised to the power of y

◆ Round() [1/8]

static ASPOSECPP_SHARED_API double System::Math::Round ( double a )

static

Rounds the specified value to the nearest integral value.

Parameters

a	The value to round

Returns: a rounded to the nearest integral value

◆ Round() [2/8]

static ASPOSECPP_SHARED_API double System::Math::Round	(	double	value,
		int	digits
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits.

Parameters

value	The value to round
digits	The number of fractional digits in the rounded value

Returns: The number with the specified number of digits nearest to value

◆ Round() [3/8]

static ASPOSECPP_SHARED_API double System::Math::Round	(	double	value,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest integral number. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

value	The value to round
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: value rounded to the nearest integral value

◆ Round() [4/8]

static ASPOSECPP_SHARED_API double System::Math::Round	(	double	value,
		int	digits,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

value	The value to round
digits	The number of fractional digits in the rounded value
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: The number with the specified number of digits nearest to value

◆ Round() [5/8]

static ASPOSECPP_SHARED_API Decimal System::Math::Round ( const Decimal & d )

static

Rounds the specified value to the nearest integral value.

Parameters

d	The value to round

Returns: d rounded to the nearest integral value

◆ Round() [6/8]

static ASPOSECPP_SHARED_API Decimal System::Math::Round	(	const Decimal &	value,
		int	digits
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits.

Parameters

value	The value to round
digits	The number of fractional digits in the rounded value

Returns: The number with the specified number of digits nearest to value

◆ Round() [7/8]

static ASPOSECPP_SHARED_API Decimal System::Math::Round	(	const Decimal &	d,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest integral number. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

d	The value to round
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: d rounded to the nearest integral value

◆ Round() [8/8]

static ASPOSECPP_SHARED_API Decimal System::Math::Round	(	const Decimal &	d,
		int	digits,
		MidpointRounding	mode
	)

static

Rounds the specified value to the nearest value with the specified number of fractional digits. A parameter specifies the function's behavior if the specified value is equally close to two nearest numbers.

Parameters

d	The value to round
digits	The number of fractional digits in the rounded value
mode	Specifies how to perform the rounding if `value` is equally close to two nearest numbers.

Returns: The number with the specified number of digits nearest to value

◆ Sign() [1/3]

template<typename T >

static std::enable_if<std::is_integral<T>::value && !std::is_unsigned<T>::value, int>::type System::Math::Sign ( T value )

inlinestatic

Determines the sign of the specified signed integral value.

Parameters

value The value to determine the sign of

Returns: -1 if value is less than 0; 0 if value is equal to 0; 1 if value is greater than 0

Template Parameters

T	The integral signed type

◆ Sign() [2/3]

template<typename T >

static std::enable_if<std::is_floating_point<T>::value, int>::type System::Math::Sign ( T value )

inlinestatic

Determines the sign of the specified floating-point value.

Parameters

value The value to determine the sign of

Returns: -1 if value is less than 0; 0 if value is equal to 0; 1 if value is greater than 0

Template Parameters

T	The floating point type of the argument

◆ Sign() [3/3]

static int System::Math::Sign ( const Decimal & value )

inlinestatic

Determines the sign of the specified decimal value.

Parameters

value The value to determine the sign of

Returns: -1 if value is less than 0; 0 if value is equal to 0; 1 if value is greater than 0

◆ Sin()

static ASPOSECPP_SHARED_API double System::Math::Sin ( double a )

static

Calculates the sine of the specified value.

Parameters

a	The value to calculate the sine of

Returns: The sine of a

◆ Sinh()

static ASPOSECPP_SHARED_API double System::Math::Sinh ( double value )

static

Calculates the hyperbolic sine of the specified value.

Parameters

value The value to calculate the hyperbolic sine of

Returns: The hyperbolic sine of value

◆ Sqrt()

static ASPOSECPP_SHARED_API double System::Math::Sqrt ( double d )

static

Returns the square root of the specified value.

Parameters

d	A double-precision floating point value

Returns: The square root of d

◆ Tan()

static ASPOSECPP_SHARED_API double System::Math::Tan ( double a )

static

Calculates the tangen of the specified value.

Parameters

a	The value to calculate the tangen of

Returns: The tangen of a

◆ Tanh()

static ASPOSECPP_SHARED_API double System::Math::Tanh ( double value )

static

Calculates the hyperbolic tangen of the specified value.

Parameters

value The value to calculate the hyperbolic tangen of

Returns: The hyperbolic tangen of value

◆ Truncate() [1/2]

static ASPOSECPP_SHARED_API Decimal System::Math::Truncate ( const Decimal & d )

static

Returns the Decimal object representing a value that has integral part equal to that of the value represented by the specified Decimal object of the with all fractional digits discarded.

Parameters

d	A decimal number

Returns: A Decimal object representing a decimal value whose integral part is equal to that of the specified value and fractional digits are all 0.

◆ Truncate() [2/2]

static ASPOSECPP_SHARED_API double System::Math::Truncate ( double d )

static

Returns a double-precision floating point value that has integral part equal to that of the specified value with all fractional digits discarded.

Parameters

d	A decimal number

Returns: A double-precision floating point value whose integral part is equal to that of the specified value and fractional digits are all 0.

Member Data Documentation

◆ E

const double ASPOSECPP_SHARED_API System::Math::E

static

Natural logarithm's base.

◆ NaN

const double ASPOSECPP_SHARED_API System::Math::NaN

static

Represents a not-a-number value.

◆ NegativeInfinity

const double ASPOSECPP_SHARED_API System::Math::NegativeInfinity

static

Represents the negative infinity.

◆ PI

const double ASPOSECPP_SHARED_API System::Math::PI

static

The number Pi constant.

◆ PositiveInfinity

const double ASPOSECPP_SHARED_API System::Math::PositiveInfinity

static

Represents the positive infinity.

Public Member Functions

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Function Documentation

◆ Abs() [1/2]

◆ Abs() [2/2]

◆ Acos()

◆ Asin()

◆ Atan()

◆ Atan2()

◆ BigMul()

◆ Ceiling() [1/2]

◆ Ceiling() [2/2]

◆ Cos()

◆ Cosh()

◆ DivRem() [1/2]

◆ DivRem() [2/2]

◆ Exp()

◆ Floor() [1/2]

◆ Floor() [2/2]

◆ IEEERemainder()

◆ Log() [1/2]

◆ Log() [2/2]

◆ Log10()

◆ Max() [1/2]

◆ Max() [2/2]

◆ Max_() [1/2]

◆ Max_() [2/2]

◆ Min() [1/2]

◆ Min() [2/2]

◆ Min_() [1/2]

◆ Min_() [2/2]

◆ Modulus()

◆ Pow()

◆ Round() [1/8]

◆ Round() [2/8]

◆ Round() [3/8]

◆ Round() [4/8]

◆ Round() [5/8]

◆ Round() [6/8]

◆ Round() [7/8]

◆ Round() [8/8]

◆ Sign() [1/3]

◆ Sign() [2/3]

◆ Sign() [3/3]

◆ Sin()

◆ Sinh()

◆ Sqrt()

◆ Tan()

◆ Tanh()

◆ Truncate() [1/2]

◆ Truncate() [2/2]

Member Data Documentation

◆ E

◆ NaN

◆ NegativeInfinity

◆ PI

◆ PositiveInfinity