math.bond

A collection of functions and constants for performing math operations. More...

Functions
double	Bond::SinD (double x)
	Returns the sine of an angle in radians.
float	Bond::SinF (float x)
	Returns the sine of an angle in radians.
double	Bond::CosD (double x)
	Returns the cosine of an angle in radians.
float	Bond::CosF (float x)
	Returns the cosine of an angle in radians.
double	Bond::TanD (double x)
	Returns the tangent of an angle in radians.
float	Bond::TanF (float x)
	Returns the tangent of an angle in radians.
double	Bond::AsinD (double x)
	Returns the arcsine in radians of a value.
float	Bond::AsinF (float x)
	Returns the arcsine in radians of a value.
double	Bond::AcosD (double x)
	Returns the arccosine in radians of a value.
float	Bond::AcosF (float x)
	Returns the arccosine in radians of a value.
double	Bond::AtanD (double x)
	Returns the arctangent in radians of a value, in the range [-pi/2, +pi/2].
float	Bond::AtanF (float x)
	Returns the arctangent in radians of a value, in the range [-pi/2, +pi/2].
double	Bond::Atan2D (double y, double x)
	Returns the arctangent in radians of y/x, in the range [-pi, +pi], using the signs of both arguments to determine the quadrant.
float	Bond::Atan2F (float y, float x)
	Returns the arctangent in radians of y/x, in the range [-pi, +pi], using the signs of both arguments to determine the quadrant.
double	Bond::SinhD (double x)
	Returns the hyperbolic sine of a hyperbolic angle.
float	Bond::SinhF (float x)
	Returns the hyperbolic sine of a hyperbolic angle.
double	Bond::CoshD (double x)
	Returns the hyperbolic cosine of a hyperbolic angle.
float	Bond::CoshF (float x)
	Returns the hyperbolic cosine of a hyperbolic angle.
double	Bond::TanhD (double x)
	Returns the hyperbolic tangent of a hyperbolic angle.
float	Bond::TanhF (float x)
	Returns the hyperbolic tangent of a hyperbolic angle.
double	Bond::AsinhD (double x)
	Returns the inverse hyperbolic sine of a value.
float	Bond::AsinhF (float x)
	Returns the inverse hyperbolic sine of a value.
double	Bond::AcoshD (double x)
	Returns the inverse hyperbolic cosine of a value.
float	Bond::AcoshF (float x)
	Returns the inverse hyperbolic cosine of a value.
double	Bond::AtanhD (double x)
	Returns the inverse hyperbolic tangent of a value.
float	Bond::AtanhF (float x)
	Returns the inverse hyperbolic tangent of a value.
double	Bond::ExpD (double x)
	Returns e raised to an exponent.
float	Bond::ExpF (float x)
	Returns e raised to an exponent.
double	Bond::Exp2D (double x)
	Returns 2 raised to an exponent.
float	Bond::Exp2F (float x)
	Returns 2 raised to an exponent.
double	Bond::LogD (double x)
	Returns the natural logarithm of a value.
float	Bond::LogF (float x)
	Returns the natural logarithm of a value.
double	Bond::Log2D (double x)
	Returns the base-2 logarithm of a value.
float	Bond::Log2F (float x)
	Returns the base-2 logarithm of a value.
double	Bond::Log10D (double x)
	Returns the base-10 logarithm of a value.
float	Bond::Log10F (float x)
	Returns the base-10 logarithm of a value.
double	Bond::PowD (double base, double exponent)
	Returns a base value raised to an exponent.
float	Bond::PowF (float base, float exponent)
	Returns a base value raised to an exponent.
double	Bond::SqrtD (double x)
	Returns the square root of a value.
float	Bond::SqrtF (float x)
	Returns the square root of a value.
double	Bond::CbrtD (double x)
	Returns the cube root of a value.
float	Bond::CbrtF (float x)
	Returns the cube root of a value.
double	Bond::HypotD (double x, double y)
	Returns the hypotenuse of a right-angled triangle with sides of the given lengths.
float	Bond::HypotF (float x, float y)
	Returns the hypotenuse of a right-angled triangle with sides of the given lengths.
double	Bond::CeilD (double x)
	Returns a value rounded upward.
float	Bond::CeilF (float x)
	Returns a value rounded upward.
double	Bond::FloorD (double x)
	Returns a value rounded downward.
float	Bond::FloorF (float x)
	Returns a value rounded downward.
double	Bond::TruncD (double x)
	Returns a value rounded toward zero.
float	Bond::TruncF (float x)
	Returns a value rounded toward zero.
char	Bond::AbsC (char x)
	Returns the absolute value of a signed 8-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.
short	Bond::AbsS (short x)
	Returns the absolute value of a signed 16-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.
int	Bond::AbsI (int x)
	Returns the absolute value of a signed 32-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.
long	Bond::AbsL (long x)
	Returns the absolute value of a signed 64-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.
double	Bond::AbsD (double x)
	Returns the absolute value of a value.
float	Bond::AbsF (float x)
	Returns the absolute value of a value.
double	Bond::LdexpD (double x, int exp)
	Returns a value multiplied by 2 raised to an exponent.
float	Bond::LdexpF (float x, int exp)
	Returns a value multiplied by 2 raised to an exponent.
double	Bond::FrexpD (double x, int *exp)
	Decomposes a value into a fraction and an integral power of two.
float	Bond::FrexpF (float x, int *exp)
	Decomposes a value into a fraction and an integral power of two.
double	Bond::ModfD (double x, double *ip)
	Decomposes a value into its integral and fractional parts.
float	Bond::ModfF (float x, float *ip)
	Decomposes a value into its integral and fractional parts.
double	Bond::FmodD (double x, double y)
	Returns the remainder of x/y, where the quotient is rounded toward zero. The result has the same sign as x.
float	Bond::FmodF (float x, float y)
	Returns the remainder of x/y, where the quotient is rounded toward zero. The result has the same sign as x.
double	Bond::CopySignD (double x, double y)
	Returns a value with the magnitude of one and the sign of another.
float	Bond::CopySignF (float x, float y)
	Returns a value with the magnitude of one and the sign of another.
double	Bond::NaND ()
	Returns a value representing Not-a-Number.
float	Bond::NaNF ()
	Returns a value representing Not-a-Number.
bool	Bond::IsNaND (double x)
	Returns whether a value is Not-a-Number.
bool	Bond::IsNaNF (float x)
	Returns whether a value is Not-a-Number.
bool	Bond::IsInfD (double x)
	Returns whether a value is positive or negative infinity.
bool	Bond::IsInfF (float x)
	Returns whether a value is positive or negative infinity.
bool	Bond::IsFiniteD (double x)
	Returns whether a value is neither infinite nor Not-a-Number.
bool	Bond::IsFiniteF (float x)
	Returns whether a value is neither infinite nor Not-a-Number.
bool	Bond::SignBitD (double x)
	Returns whether the sign bit of a value is set.
bool	Bond::SignBitF (float x)
	Returns whether the sign bit of a value is set.
double	Bond::RoundD (double x)
	Returns a value rounded to the nearest integer, with halfway cases rounded away from zero.
float	Bond::RoundF (float x)
	Returns a value rounded to the nearest integer, with halfway cases rounded away from zero.
double	Bond::RintD (double x)
	Returns a value rounded to the nearest integer using the current rounding mode.
float	Bond::RintF (float x)
	Returns a value rounded to the nearest integer using the current rounding mode.
double	Bond::NearbyintD (double x)
	Returns a value rounded to the nearest integer using the current rounding mode without raising the inexact exception.
float	Bond::NearbyintF (float x)
	Returns a value rounded to the nearest integer using the current rounding mode without raising the inexact exception.
double	Bond::RemainderD (double x, double y)
	Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even.
float	Bond::RemainderF (float x, float y)
	Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even.
long	Bond::LroundD (double x)
	Returns a value rounded to the nearest long integer, with halfway cases rounded away from zero.
long	Bond::LroundF (float x)
	Returns a value rounded to the nearest long integer, with halfway cases rounded away from zero.
double	Bond::Log1pD (double x)
	Returns the natural logarithm of one plus a value.
float	Bond::Log1pF (float x)
	Returns the natural logarithm of one plus a value.
double	Bond::Expm1D (double x)
	Returns e raised to an exponent minus one.
float	Bond::Expm1F (float x)
	Returns e raised to an exponent minus one.
double	Bond::ErfD (double x)
	Returns the error function of a value.
float	Bond::ErfF (float x)
	Returns the error function of a value.
double	Bond::ErfcD (double x)
	Returns the complementary error function of a value.
float	Bond::ErfcF (float x)
	Returns the complementary error function of a value.
double	Bond::TgammaD (double x)
	Returns the gamma function of a value.
float	Bond::TgammaF (float x)
	Returns the gamma function of a value.
double	Bond::LgammaD (double x)
	Returns the natural logarithm of the absolute value of the gamma function of a value.
float	Bond::LgammaF (float x)
	Returns the natural logarithm of the absolute value of the gamma function of a value.
double	Bond::FmaD (double x, double y, double z)
	Returns x * y + z computed with a single rounding.
float	Bond::FmaF (float x, float y, float z)
	Returns x * y + z computed with a single rounding.
double	Bond::NextafterD (double x, double y)
	Returns the next representable value after x in the direction of y.
float	Bond::NextafterF (float x, float y)
	Returns the next representable value after x in the direction of y.
double	Bond::ScalbnD (double x, int n)
	Returns a value multiplied by 2 raised to an integral exponent.
float	Bond::ScalbnF (float x, int n)
	Returns a value multiplied by 2 raised to an integral exponent.
int	Bond::IlogbD (double x)
	Returns the unbiased exponent of a value as an integer.
int	Bond::IlogbF (float x)
	Returns the unbiased exponent of a value as an integer.
double	Bond::LogbD (double x)
	Returns the unbiased exponent of a value as a floating-point number.
float	Bond::LogbF (float x)
	Returns the unbiased exponent of a value as a floating-point number.
double	Bond::RemquoD (double x, double y, int *quo)
	Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even, and stores the sign and low bits of the quotient.
float	Bond::RemquoF (float x, float y, int *quo)
	Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even, and stores the sign and low bits of the quotient.
double	Bond::InfD ()
	Returns a representation of positive infinity.
float	Bond::InfF ()
	Returns a representation of positive infinity.
char	Bond::MinC (char x, char y)
	Returns the smaller of two values.
uchar	Bond::MinUC (uchar x, uchar y)
	Returns the smaller of two values.
short	Bond::MinS (short x, short y)
	Returns the smaller of two values.
ushort	Bond::MinUS (ushort x, ushort y)
	Returns the smaller of two values.
int	Bond::MinI (int x, int y)
	Returns the smaller of two values.
uint	Bond::MinUI (uint x, uint y)
	Returns the smaller of two values.
long	Bond::MinL (long x, long y)
	Returns the smaller of two values.
ulong	Bond::MinUL (ulong x, ulong y)
	Returns the smaller of two values.
double	Bond::MinD (double x, double y)
	Returns the smaller of two values. If either value is Not-a-Number, the other value is returned.
float	Bond::MinF (float x, float y)
	Returns the smaller of two values. If either value is Not-a-Number, the other value is returned.
char	Bond::MaxC (char x, char y)
	Returns the larger of two values.
uchar	Bond::MaxUC (uchar x, uchar y)
	Returns the larger of two values.
short	Bond::MaxS (short x, short y)
	Returns the larger of two values.
ushort	Bond::MaxUS (ushort x, ushort y)
	Returns the larger of two values.
int	Bond::MaxI (int x, int y)
	Returns the larger of two values.
uint	Bond::MaxUI (uint x, uint y)
	Returns the larger of two values.
long	Bond::MaxL (long x, long y)
	Returns the larger of two values.
ulong	Bond::MaxUL (ulong x, ulong y)
	Returns the larger of two values.
double	Bond::MaxD (double x, double y)
	Returns the larger of two values. If either value is Not-a-Number, the other value is returned.
float	Bond::MaxF (float x, float y)
	Returns the larger of two values. If either value is Not-a-Number, the other value is returned.
char	Bond::ClampC (char value, char low, char high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
uchar	Bond::ClampUC (uchar value, uchar low, uchar high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
short	Bond::ClampS (short value, short low, short high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
ushort	Bond::ClampUS (ushort value, ushort low, ushort high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
int	Bond::ClampI (int value, int low, int high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
uint	Bond::ClampUI (uint value, uint low, uint high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
long	Bond::ClampL (long value, long low, long high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
ulong	Bond::ClampUL (ulong value, ulong low, ulong high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
double	Bond::ClampD (double value, double low, double high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.
float	Bond::ClampF (float value, float low, float high)
	Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Variables
const double	Bond::PI_D = 3.14159265358979323846
	The value of pi as a double.
const float	Bond::PI_F = cast<float>(PI_D)
	The value of pi as a float.
const double	Bond::HALF_PI_D = PI_D / 2.0
	The value of pi/2 as a double.
const float	Bond::HALF_PI_F = cast<float>(HALF_PI_D)
	The value of pi/2 as a float.
const double	Bond::TWO_PI_D = PI_D * 2.0
	The value of 2pi as a double.
const float	Bond::TWO_PI_F = cast<float>(TWO_PI_D)
	The value of 2pi as a float.
const double	Bond::E_D = 2.71828182845904523536
	The value of e as a double.
const float	Bond::E_F = cast<float>(E_D)
	The value of e as a float.
const double	Bond::LN2_D = 0.69314718055994530942
	The natural logarithm of 2 as a double.
const float	Bond::LN2_F = cast<float>(LN2_D)
	The natural logarithm of 2 as a float.
const double	Bond::LN10_D = 2.30258509299404568402
	The natural logarithm of 10 as a double.
const float	Bond::LN10_F = cast<float>(LN10_D)
	The natural logarithm of 10 as a float.
const double	Bond::LOG2E_D = 1.44269504088896340736
	The base-2 logarithm of e as a double.
const float	Bond::LOG2E_F = cast<float>(LOG2E_D)
	The base-2 logarithm of e as a float.
const double	Bond::LOG10E_D = 0.43429448190325182765
	The base-10 logarithm of e as a double.
const float	Bond::LOG10E_F = cast<float>(LOG10E_D)
	The base-10 logarithm of e as a float.
const double	Bond::SQRT2_D = 1.41421356237309504880
	The square root of 2 as a double.
const float	Bond::SQRT2_F = cast<float>(SQRT2_D)
	The square root of 2 as a float.
const double	Bond::SQRT1_2_D = 0.70710678118654752440
	The square root of 1/2 as a double.
const float	Bond::SQRT1_2_F = cast<float>(SQRT1_2_D)
	The square root of 1/2 as a float.

Detailed Description

A collection of functions and constants for performing math operations.

include "math.bond";

Function Documentation

AbsC()

char Bond::AbsC

(

char

x

)

Returns the absolute value of a signed 8-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.

Parameters

x	The value whose absolute value is calculated.

AbsD()

double Bond::AbsD

(

double

x

)

Returns the absolute value of a value.

Parameters

x	The value whose absolute value is calculated.

AbsF()

float Bond::AbsF

(

float

x

)

Returns the absolute value of a value.

Parameters

x	The value whose absolute value is calculated.

AbsI()

int Bond::AbsI

(

int

x

)

Returns the absolute value of a signed 32-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.

Parameters

x	The value whose absolute value is calculated.

AbsL()

long Bond::AbsL

(

long

x

)

Returns the absolute value of a signed 64-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.

Parameters

x	The value whose absolute value is calculated.

AbsS()

short Bond::AbsS

(

short

x

)

Returns the absolute value of a signed 16-bit value. The result is unspecified for the most negative value, whose absolute value cannot be represented.

Parameters

x	The value whose absolute value is calculated.

AcosD()

double Bond::AcosD

(

double

x

)

Returns the arccosine in radians of a value.

Parameters

x	A value in the range [-1, +1] whose arccosine is calculated.

AcosF()

float Bond::AcosF

(

float

x

)

Returns the arccosine in radians of a value.

Parameters

x	A value in the range [-1, +1] whose arccosine is calculated.

AcoshD()

double Bond::AcoshD

(

double

x

)

Returns the inverse hyperbolic cosine of a value.

Parameters

x	The value whose inverse hyperbolic cosine is calculated.

AcoshF()

float Bond::AcoshF

(

float

x

)

Returns the inverse hyperbolic cosine of a value.

Parameters

x	The value whose inverse hyperbolic cosine is calculated.

AsinD()

double Bond::AsinD

(

double

x

)

Returns the arcsine in radians of a value.

Parameters

x	A value in the range [-1, +1] whose arcsine is calculated.

AsinF()

float Bond::AsinF

(

float

x

)

Returns the arcsine in radians of a value.

Parameters

x	A value in the range [-1, +1] whose arcsine is calculated.

AsinhD()

double Bond::AsinhD

(

double

x

)

Returns the inverse hyperbolic sine of a value.

Parameters

x	The value whose inverse hyperbolic sine is calculated.

AsinhF()

float Bond::AsinhF

(

float

x

)

Returns the inverse hyperbolic sine of a value.

Parameters

x	The value whose inverse hyperbolic sine is calculated.

Atan2D()

double Bond::Atan2D	(	double	y,
		double	x )

Returns the arctangent in radians of y/x, in the range [-pi, +pi], using the signs of both arguments to determine the quadrant.

Parameters

y	The coordinate on the Y axis.
x	The coordinate on the X axis.

Atan2F()

float Bond::Atan2F	(	float	y,
		float	x )

Returns the arctangent in radians of y/x, in the range [-pi, +pi], using the signs of both arguments to determine the quadrant.

Parameters

y	The coordinate on the Y axis.
x	The coordinate on the X axis.

AtanD()

double Bond::AtanD

(

double

x

)

Returns the arctangent in radians of a value, in the range [-pi/2, +pi/2].

Parameters

x	The value whose arctangent is calculated.

AtanF()

float Bond::AtanF

(

float

x

)

Returns the arctangent in radians of a value, in the range [-pi/2, +pi/2].

Parameters

x	The value whose arctangent is calculated.

AtanhD()

double Bond::AtanhD

(

double

x

)

Returns the inverse hyperbolic tangent of a value.

Parameters

x	The value whose inverse hyperbolic tangent is calculated.

AtanhF()

float Bond::AtanhF

(

float

x

)

Returns the inverse hyperbolic tangent of a value.

Parameters

x	The value whose inverse hyperbolic tangent is calculated.

CbrtD()

double Bond::CbrtD

(

double

x

)

Returns the cube root of a value.

Parameters

x	The value whose cube root is calculated.

CbrtF()

float Bond::CbrtF

(

float

x

)

Returns the cube root of a value.

Parameters

x	The value whose cube root is calculated.

CeilD()

double Bond::CeilD

(

double

x

)

Returns a value rounded upward.

Parameters

x	The value to be rounded.

CeilF()

float Bond::CeilF

(

float

x

)

Returns a value rounded upward.

Parameters

x	The value to be rounded.

ClampC()

char Bond::ClampC	(	char	value,
		char	low,
		char	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampD()

double Bond::ClampD	(	double	value,
		double	low,
		double	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampF()

float Bond::ClampF	(	float	value,
		float	low,
		float	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampI()

int Bond::ClampI	(	int	value,
		int	low,
		int	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampL()

long Bond::ClampL	(	long	value,
		long	low,
		long	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampS()

short Bond::ClampS	(	short	value,
		short	low,
		short	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampUC()

uchar Bond::ClampUC	(	uchar	value,
		uchar	low,
		uchar	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampUI()

uint Bond::ClampUI	(	uint	value,
		uint	low,
		uint	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampUL()

ulong Bond::ClampUL	(	ulong	value,
		ulong	low,
		ulong	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

ClampUS()

ushort Bond::ClampUS	(	ushort	value,
		ushort	low,
		ushort	high )

Returns a value limited to the range [low, high]. The result is undefined if low is greater than high.

Parameters

value	The value to limit.
low	The lower bound.
high	The upper bound.

CopySignD()

double Bond::CopySignD	(	double	x,
		double	y )

Returns a value with the magnitude of one and the sign of another.

Parameters

x	The value whose magnitude is returned.
y	The value whose sign is returned.

CopySignF()

float Bond::CopySignF	(	float	x,
		float	y )

Returns a value with the magnitude of one and the sign of another.

Parameters

x	The value whose magnitude is returned.
y	The value whose sign is returned.

CosD()

double Bond::CosD

(

double

x

)

Returns the cosine of an angle in radians.

Parameters

x	An angle expressed in radians.

CosF()

float Bond::CosF

(

float

x

)

Returns the cosine of an angle in radians.

Parameters

x	An angle expressed in radians.

CoshD()

double Bond::CoshD

(

double

x

)

Returns the hyperbolic cosine of a hyperbolic angle.

Parameters

x	A hyperbolic angle whose hyperbolic cosine is calculated.

CoshF()

float Bond::CoshF

(

float

x

)

Returns the hyperbolic cosine of a hyperbolic angle.

Parameters

x	A hyperbolic angle whose hyperbolic cosine is calculated.

ErfcD()

double Bond::ErfcD

(

double

x

)

Returns the complementary error function of a value.

Parameters

x	The value whose complementary error function is calculated.

ErfcF()

float Bond::ErfcF

(

float

x

)

Returns the complementary error function of a value.

Parameters

x	The value whose complementary error function is calculated.

ErfD()

double Bond::ErfD

(

double

x

)

Returns the error function of a value.

Parameters

x	The value whose error function is calculated.

ErfF()

float Bond::ErfF

(

float

x

)

Returns the error function of a value.

Parameters

x	The value whose error function is calculated.

Exp2D()

double Bond::Exp2D

(

double

x

)

Returns 2 raised to an exponent.

Parameters

x	The value of the exponent.

Exp2F()

float Bond::Exp2F

(

float

x

)

Returns 2 raised to an exponent.

Parameters

x	The value of the exponent.

ExpD()

double Bond::ExpD

(

double

x

)

Returns e raised to an exponent.

Parameters

x	The value of the exponent.

ExpF()

float Bond::ExpF

(

float

x

)

Returns e raised to an exponent.

Parameters

x	The value of the exponent.

Expm1D()

double Bond::Expm1D

(

double

x

)

Returns e raised to an exponent minus one.

Parameters

x	The value of the exponent.

Expm1F()

float Bond::Expm1F

(

float

x

)

Returns e raised to an exponent minus one.

Parameters

x	The value of the exponent.

FloorD()

double Bond::FloorD

(

double

x

)

Returns a value rounded downward.

Parameters

x	The value to be rounded.

FloorF()

float Bond::FloorF

(

float

x

)

Returns a value rounded downward.

Parameters

x	The value to be rounded.

FmaD()

double Bond::FmaD	(	double	x,
		double	y,
		double	z )

Returns x * y + z computed with a single rounding.

Parameters

x	The multiplicand.
y	The multiplier.
z	The value added to the product.

FmaF()

float Bond::FmaF	(	float	x,
		float	y,
		float	z )

Returns x * y + z computed with a single rounding.

Parameters

x	The multiplicand.
y	The multiplier.
z	The value added to the product.

FmodD()

double Bond::FmodD	(	double	x,
		double	y )

Returns the remainder of x/y, where the quotient is rounded toward zero. The result has the same sign as x.

Parameters

x	The numerator of the division operation.
y	The denominator of the division operation.

FmodF()

float Bond::FmodF	(	float	x,
		float	y )

Returns the remainder of x/y, where the quotient is rounded toward zero. The result has the same sign as x.

Parameters

x	The numerator of the division operation.
y	The denominator of the division operation.

FrexpD()

double Bond::FrexpD	(	double	x,
		int *	exp )

Decomposes a value into a fraction and an integral power of two.

Parameters

x	The value that is decomposed.
exp	A pointer to an int where the exponent is stored.

Returns

A value whose absolute value is in the range [0.5, 1.0), which, when multiplied by 2 to the power of exp, results in x.

FrexpF()

float Bond::FrexpF	(	float	x,
		int *	exp )

Decomposes a value into a fraction and an integral power of two.

Parameters

x	The value that is decomposed.
exp	A pointer to an int where the exponent is stored.

Returns

A value whose absolute value is in the range [0.5, 1.0), which, when multiplied by 2 to the power of exp, results in x.

HypotD()

double Bond::HypotD	(	double	x,
		double	y )

Returns the hypotenuse of a right-angled triangle with sides of the given lengths.

Parameters

x	The length of the first side of the triangle.
y	The length of the second side of the triangle.

HypotF()

float Bond::HypotF	(	float	x,
		float	y )

Returns the hypotenuse of a right-angled triangle with sides of the given lengths.

Parameters

x	The length of the first side of the triangle.
y	The length of the second side of the triangle.

IlogbD()

int Bond::IlogbD

(

double

x

)

Returns the unbiased exponent of a value as an integer.

Parameters

x	The value whose exponent is returned.

IlogbF()

int Bond::IlogbF

(

float

x

)

Returns the unbiased exponent of a value as an integer.

Parameters

x	The value whose exponent is returned.

InfD()

double Bond::InfD

(

)

Returns a representation of positive infinity.

InfF()

float Bond::InfF

(

)

Returns a representation of positive infinity.

IsFiniteD()

bool Bond::IsFiniteD

(

double

x

)

Returns whether a value is neither infinite nor Not-a-Number.

Parameters

x	The value to check.

IsFiniteF()

bool Bond::IsFiniteF

(

float

x

)

Returns whether a value is neither infinite nor Not-a-Number.

Parameters

x	The value to check.

IsInfD()

bool Bond::IsInfD

(

double

x

)

Returns whether a value is positive or negative infinity.

Parameters

x	The value to check.

IsInfF()

bool Bond::IsInfF

(

float

x

)

Returns whether a value is positive or negative infinity.

Parameters

x	The value to check.

IsNaND()

bool Bond::IsNaND

(

double

x

)

Returns whether a value is Not-a-Number.

Parameters

x	The value to check.

IsNaNF()

bool Bond::IsNaNF

(

float

x

)

Returns whether a value is Not-a-Number.

Parameters

x	The value to check.

LdexpD()

double Bond::LdexpD	(	double	x,
		int	exp )

Returns a value multiplied by 2 raised to an exponent.

Parameters

x	The value that is multiplied by 2 raised to an exponent.
exp	The exponent.

LdexpF()

float Bond::LdexpF	(	float	x,
		int	exp )

Returns a value multiplied by 2 raised to an exponent.

Parameters

x	The value that is multiplied by 2 raised to an exponent.
exp	The exponent.

LgammaD()

double Bond::LgammaD

(

double

x

)

Returns the natural logarithm of the absolute value of the gamma function of a value.

Parameters

x	The value whose log-gamma function is calculated.

LgammaF()

float Bond::LgammaF

(

float

x

)

Returns the natural logarithm of the absolute value of the gamma function of a value.

Parameters

x	The value whose log-gamma function is calculated.

Log10D()

double Bond::Log10D

(

double

x

)

Returns the base-10 logarithm of a value.

Parameters

x	The value whose logarithm is calculated.

Log10F()

float Bond::Log10F

(

float

x

)

Returns the base-10 logarithm of a value.

Parameters

x	The value whose logarithm is calculated.

Log1pD()

double Bond::Log1pD

(

double

x

)

Returns the natural logarithm of one plus a value.

Parameters

x	The value whose logarithm is calculated.

Log1pF()

float Bond::Log1pF

(

float

x

)

Returns the natural logarithm of one plus a value.

Parameters

x	The value whose logarithm is calculated.

Log2D()

double Bond::Log2D

(

double

x

)

Returns the base-2 logarithm of a value.

Parameters

x	The value whose logarithm is calculated.

Log2F()

float Bond::Log2F

(

float

x

)

Returns the base-2 logarithm of a value.

Parameters

x	The value whose logarithm is calculated.

LogbD()

double Bond::LogbD

(

double

x

)

Returns the unbiased exponent of a value as a floating-point number.

Parameters

x	The value whose exponent is returned.

LogbF()

float Bond::LogbF

(

float

x

)

Returns the unbiased exponent of a value as a floating-point number.

Parameters

x	The value whose exponent is returned.

LogD()

double Bond::LogD

(

double

x

)

Returns the natural logarithm of a value.

Parameters

x	The value whose natural logarithm is calculated.

LogF()

float Bond::LogF

(

float

x

)

Returns the natural logarithm of a value.

Parameters

x	The value whose natural logarithm is calculated.

LroundD()

long Bond::LroundD

(

double

x

)

Returns a value rounded to the nearest long integer, with halfway cases rounded away from zero.

Parameters

x	The value to be rounded.

LroundF()

long Bond::LroundF

(

float

x

)

Returns a value rounded to the nearest long integer, with halfway cases rounded away from zero.

Parameters

x	The value to be rounded.

MaxC()

char Bond::MaxC	(	char	x,
		char	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxD()

double Bond::MaxD	(	double	x,
		double	y )

Returns the larger of two values. If either value is Not-a-Number, the other value is returned.

Parameters

x	The first value.
y	The second value.

MaxF()

float Bond::MaxF	(	float	x,
		float	y )

Returns the larger of two values. If either value is Not-a-Number, the other value is returned.

Parameters

x	The first value.
y	The second value.

MaxI()

int Bond::MaxI	(	int	x,
		int	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxL()

long Bond::MaxL	(	long	x,
		long	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxS()

short Bond::MaxS	(	short	x,
		short	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxUC()

uchar Bond::MaxUC	(	uchar	x,
		uchar	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxUI()

uint Bond::MaxUI	(	uint	x,
		uint	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxUL()

ulong Bond::MaxUL	(	ulong	x,
		ulong	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MaxUS()

ushort Bond::MaxUS	(	ushort	x,
		ushort	y )

Returns the larger of two values.

Parameters

x	The first value.
y	The second value.

MinC()

char Bond::MinC	(	char	x,
		char	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinD()

double Bond::MinD	(	double	x,
		double	y )

Returns the smaller of two values. If either value is Not-a-Number, the other value is returned.

Parameters

x	The first value.
y	The second value.

MinF()

float Bond::MinF	(	float	x,
		float	y )

Returns the smaller of two values. If either value is Not-a-Number, the other value is returned.

Parameters

x	The first value.
y	The second value.

MinI()

int Bond::MinI	(	int	x,
		int	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinL()

long Bond::MinL	(	long	x,
		long	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinS()

short Bond::MinS	(	short	x,
		short	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinUC()

uchar Bond::MinUC	(	uchar	x,
		uchar	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinUI()

uint Bond::MinUI	(	uint	x,
		uint	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinUL()

ulong Bond::MinUL	(	ulong	x,
		ulong	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

MinUS()

ushort Bond::MinUS	(	ushort	x,
		ushort	y )

Returns the smaller of two values.

Parameters

x	The first value.
y	The second value.

ModfD()

double Bond::ModfD	(	double	x,
		double *	ip )

Decomposes a value into its integral and fractional parts.

Parameters

x	The value that is decomposed.
ip	A pointer to a double where the integral part is stored.

Returns

The fractional part, which, when added to ip, results in x.

ModfF()

float Bond::ModfF	(	float	x,
		float *	ip )

Decomposes a value into its integral and fractional parts.

Parameters

x	The value that is decomposed.
ip	A pointer to a float where the integral part is stored.

Returns

The fractional part, which, when added to ip, results in x.

NaND()

double Bond::NaND

(

)

Returns a value representing Not-a-Number.

NaNF()

float Bond::NaNF

(

)

Returns a value representing Not-a-Number.

NearbyintD()

double Bond::NearbyintD

(

double

x

)

Returns a value rounded to the nearest integer using the current rounding mode without raising the inexact exception.

Parameters

x	The value to be rounded.

NearbyintF()

float Bond::NearbyintF

(

float

x

)

Returns a value rounded to the nearest integer using the current rounding mode without raising the inexact exception.

Parameters

x	The value to be rounded.

NextafterD()

double Bond::NextafterD	(	double	x,
		double	y )

Returns the next representable value after x in the direction of y.

Parameters

x	The starting value.
y	The value that indicates the direction.

NextafterF()

float Bond::NextafterF	(	float	x,
		float	y )

Returns the next representable value after x in the direction of y.

Parameters

x	The starting value.
y	The value that indicates the direction.

PowD()

double Bond::PowD	(	double	base,
		double	exponent )

Returns a base value raised to an exponent.

Parameters

base	The value of the base.
exponent	The value of the exponent.

PowF()

float Bond::PowF	(	float	base,
		float	exponent )

Returns a base value raised to an exponent.

Parameters

base	The value of the base.
exponent	The value of the exponent.

RemainderD()

double Bond::RemainderD	(	double	x,
		double	y )

Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even.

Parameters

x	The numerator of the division operation.
y	The denominator of the division operation.

RemainderF()

float Bond::RemainderF	(	float	x,
		float	y )

Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even.

Parameters

x	The numerator of the division operation.
y	The denominator of the division operation.

RemquoD()

double Bond::RemquoD	(	double	x,
		double	y,
		int *	quo )

Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even, and stores the sign and low bits of the quotient.

Parameters

x	The numerator of the division operation.
y	The denominator of the division operation.
quo	A pointer to an int where a value with the sign of the quotient and at least its three lowest bits is stored.

RemquoF()

float Bond::RemquoF	(	float	x,
		float	y,
		int *	quo )

Returns the remainder of x/y, where the quotient is rounded to the nearest integer, with halfway cases rounded to even, and stores the sign and low bits of the quotient.

Parameters

x	The numerator of the division operation.
y	The denominator of the division operation.
quo	A pointer to an int where a value with the sign of the quotient and at least its three lowest bits is stored.

RintD()

double Bond::RintD

(

double

x

)

Returns a value rounded to the nearest integer using the current rounding mode.

Parameters

x	The value to be rounded.

RintF()

float Bond::RintF

(

float

x

)

Returns a value rounded to the nearest integer using the current rounding mode.

Parameters

x	The value to be rounded.

RoundD()

double Bond::RoundD

(

double

x

)

Returns a value rounded to the nearest integer, with halfway cases rounded away from zero.

Parameters

x	The value to be rounded.

RoundF()

float Bond::RoundF

(

float

x

)

Returns a value rounded to the nearest integer, with halfway cases rounded away from zero.

Parameters

x	The value to be rounded.

ScalbnD()

double Bond::ScalbnD	(	double	x,
		int	n )

Returns a value multiplied by 2 raised to an integral exponent.

Parameters

x	The value that is multiplied by 2 raised to an exponent.
n	The exponent.

ScalbnF()

float Bond::ScalbnF	(	float	x,
		int	n )

Returns a value multiplied by 2 raised to an integral exponent.

Parameters

x	The value that is multiplied by 2 raised to an exponent.
n	The exponent.

SignBitD()

bool Bond::SignBitD

(

double

x

)

Returns whether the sign bit of a value is set.

Parameters

x	The value to check.

SignBitF()

bool Bond::SignBitF

(

float

x

)

Returns whether the sign bit of a value is set.

Parameters

x	The value to check.

SinD()

double Bond::SinD

(

double

x

)

Returns the sine of an angle in radians.

Parameters

x	An angle expressed in radians.

SinF()

float Bond::SinF

(

float

x

)

Returns the sine of an angle in radians.

Parameters

x	An angle expressed in radians.

SinhD()

double Bond::SinhD

(

double

x

)

Returns the hyperbolic sine of a hyperbolic angle.

Parameters

x	A hyperbolic angle whose hyperbolic sine is calculated.

SinhF()

float Bond::SinhF

(

float

x

)

Returns the hyperbolic sine of a hyperbolic angle.

Parameters

x	A hyperbolic angle whose hyperbolic sine is calculated.

SqrtD()

double Bond::SqrtD

(

double

x

)

Returns the square root of a value.

Parameters

x	The value whose square root is calculated.

SqrtF()

float Bond::SqrtF

(

float

x

)

Returns the square root of a value.

Parameters

x	The value whose square root is calculated.

TanD()

double Bond::TanD

(

double

x

)

Returns the tangent of an angle in radians.

Parameters

x	An angle expressed in radians.

TanF()

float Bond::TanF

(

float

x

)

Returns the tangent of an angle in radians.

Parameters

x	An angle expressed in radians.

TanhD()

double Bond::TanhD

(

double

x

)

Returns the hyperbolic tangent of a hyperbolic angle.

Parameters

x	A hyperbolic angle whose hyperbolic tangent is calculated.

TanhF()

float Bond::TanhF

(

float

x

)

Returns the hyperbolic tangent of a hyperbolic angle.

Parameters

x	A hyperbolic angle whose hyperbolic tangent is calculated.

TgammaD()

double Bond::TgammaD

(

double

x

)

Returns the gamma function of a value.

Parameters

x	The value whose gamma function is calculated.

TgammaF()

float Bond::TgammaF

(

float

x

)

Returns the gamma function of a value.

Parameters

x	The value whose gamma function is calculated.

TruncD()

double Bond::TruncD

(

double

x

)

Returns a value rounded toward zero.

Parameters

x	The value to be rounded.

TruncF()

float Bond::TruncF

(

float

x

)

Returns a value rounded toward zero.

Parameters

x	The value to be rounded.

Variable Documentation

E_D

const double Bond::E_D = 2.71828182845904523536

The value of e as a double.

E_F

const float Bond::E_F = cast<float>(E_D)

The value of e as a float.

HALF_PI_D

const double Bond::HALF_PI_D = PI_D / 2.0

The value of pi/2 as a double.

HALF_PI_F

const float Bond::HALF_PI_F = cast<float>(HALF_PI_D)

The value of pi/2 as a float.

LN10_D

const double Bond::LN10_D = 2.30258509299404568402

The natural logarithm of 10 as a double.

LN10_F

const float Bond::LN10_F = cast<float>(LN10_D)

The natural logarithm of 10 as a float.

LN2_D

const double Bond::LN2_D = 0.69314718055994530942

The natural logarithm of 2 as a double.

LN2_F

const float Bond::LN2_F = cast<float>(LN2_D)

The natural logarithm of 2 as a float.

LOG10E_D

const double Bond::LOG10E_D = 0.43429448190325182765

The base-10 logarithm of e as a double.

LOG10E_F

const float Bond::LOG10E_F = cast<float>(LOG10E_D)

The base-10 logarithm of e as a float.

LOG2E_D

const double Bond::LOG2E_D = 1.44269504088896340736

The base-2 logarithm of e as a double.

LOG2E_F

const float Bond::LOG2E_F = cast<float>(LOG2E_D)

The base-2 logarithm of e as a float.

PI_D

const double Bond::PI_D = 3.14159265358979323846

The value of pi as a double.

PI_F

const float Bond::PI_F = cast<float>(PI_D)

The value of pi as a float.

SQRT1_2_D

const double Bond::SQRT1_2_D = 0.70710678118654752440

The square root of 1/2 as a double.

SQRT1_2_F

const float Bond::SQRT1_2_F = cast<float>(SQRT1_2_D)

The square root of 1/2 as a float.

SQRT2_D

const double Bond::SQRT2_D = 1.41421356237309504880

The square root of 2 as a double.

SQRT2_F

const float Bond::SQRT2_F = cast<float>(SQRT2_D)

The square root of 2 as a float.

TWO_PI_D

const double Bond::TWO_PI_D = PI_D * 2.0

The value of 2pi as a double.

TWO_PI_F

const float Bond::TWO_PI_F = cast<float>(TWO_PI_D)

The value of 2pi as a float.