Double Precision Floating-point Mathematical Functions

Functions

Double Precision Floating-point Mathematical Functions

Device APIs » Math API

Collaboration diagram for Double Precision Floating-point Mathematical Functions:

Functions
__DEVICE__ double	acos (double __x)
	Returns the arc cosine of x. More...
__DEVICE__ double	acosh (double __x)
	Returns the nonnegative arc hyperbolic cosine of x. More...
__DEVICE__ double	asin (double __x)
	Returns the arc sine of x. More...
__DEVICE__ double	asinh (double __x)
	Returns the arc hyperbolic sine of x. More...
__DEVICE__ double	atan (double __x)
	Returns the arc tangent of x. More...
__DEVICE__ double	atan2 (double __x, double __y)
	Returns the arc tangent of the ratio of x and y. More...
__DEVICE__ double	atanh (double __x)
	Returns the arc hyperbolic tangent of x. More...
__DEVICE__ double	cbrt (double __x)
	Returns the cube root of x. More...
__DEVICE__ double	ceil (double __x)
	Returns ceiling of x. More...
__DEVICE__ double	copysign (double __x, double __y)
	Create value with given magnitude, copying sign of second value. More...
__DEVICE__ double	cos (double __x)
	Returns the cosine of x. More...
__DEVICE__ double	cosh (double __x)
	Returns the hyperbolic cosine of x. More...
__DEVICE__ double	cospi (double __x)
	Returns the cosine of \( x\pi\). More...
__DEVICE__ double	cyl_bessel_i0 (double __x)
	Returns the value of the regular modified cylindrical Bessel function of order 0 for x. More...
__DEVICE__ double	cyl_bessel_i1 (double __x)
	Returns the value of the regular modified cylindrical Bessel function of order 1 for x. More...
__DEVICE__ double	erf (double __x)
	Returns the error function of x. More...
__DEVICE__ double	erfc (double __x)
	Returns the complementary error function of x. More...
__DEVICE__ double	erfcinv (double __x)
	Returns the inverse complementary function of x. More...
__DEVICE__ double	erfcx (double __x)
	Returns the scaled complementary error function of x. More...
__DEVICE__ double	erfinv (double __x)
	Returns the inverse error function of x. More...
__DEVICE__ double	exp (double __x)
	Returns \( e^x \). More...
__DEVICE__ double	exp10 (double __x)
	Returns \( 10^x \). More...
__DEVICE__ double	exp2 (double __x)
	Returns \( 2^x \). More...
__DEVICE__ double	expm1 (double __x)
	Returns \( e^x -1\) for x. More...
__DEVICE__ double	fabs (double __x)
	Returns the absolute value of x. More...
__DEVICE__ double	fdim (double __x, double __y)
	Returns the positive difference between x and y. More...
__DEVICE__ double	floor (double __x)
	Returns the largest integer less than or equal to x. More...
__DEVICE__ double	fma (double __x, double __y, double __z)
	Returns \(x \cdot y + z\) as a single operation. More...
__DEVICE__ double	fmax (double __x, double __y)
	Determine the maximum numeric value of x and y. More...
__DEVICE__ double	fmin (double __x, double __y)
	Determine the minimum numeric value of x and y. More...
__DEVICE__ double	fmod (double __x, double __y)
	Returns the floating-point remainder of x / y. More...
__DEVICE__ double	frexp (double __x, int *__nptr)
	Extract mantissa and exponent of x. More...
__DEVICE__ double	hypot (double __x, double __y)
	Returns the square root of the sum of squares of x and y. More...
__DEVICE__ int	ilogb (double __x)
	Returns the unbiased integer exponent of x. More...
__DEVICE__ __RETURN_TYPE	__finite (double __x)
	Determine whether x is finite. More...
__DEVICE__ __RETURN_TYPE	__isinf (double __x)
	Determine whether x is infinite. More...
__DEVICE__ __RETURN_TYPE	__isnan (double __x)
	Determine whether x is a NaN. More...
__DEVICE__ double	j0 (double __x)
	Returns the value of the Bessel function of the first kind of order 0 for x. More...
__DEVICE__ double	j1 (double __x)
	Returns the value of the Bessel function of the first kind of order 1 for x. More...
__DEVICE__ double	jn (int __n, double __x)
	Returns the value of the Bessel function of the first kind of order n for x. More...
__DEVICE__ double	ldexp (double __x, int __e)
	Returns the value of \(x \cdot 2^{e}\) for x and e. More...
__DEVICE__ double	lgamma (double __x)
	Returns the natural logarithm of the absolute value of the gamma function of x. More...
__DEVICE__ long long int	llrint (double __x)
	Round x to nearest integer value. More...
__DEVICE__ long long int	llround (double __x)
	Round to nearest integer value. More...
__DEVICE__ double	log (double __x)
	Returns the natural logarithm of x. More...
__DEVICE__ double	log10 (double __x)
	Returns the base 10 logarithm of x. More...
__DEVICE__ double	log1p (double __x)
	Returns the natural logarithm of x + 1. More...
__DEVICE__ double	log2 (double __x)
	Returns the base 2 logarithm of x. More...
__DEVICE__ double	logb (double __x)
	Returns the floating point representation of the exponent of x. More...
__DEVICE__ long int	lrint (double __x)
	Round x to nearest integer value. More...
__DEVICE__ long int	lround (double __x)
	Round to nearest integer value. More...
__DEVICE__ double	modf (double __x, double *__iptr)
	Break down x into fractional and integral parts. More...
__DEVICE__ double	nan (const char *__tagp)
	Returns "Not a Number" value. More...
__DEVICE__ double	nearbyint (double __x)
	Round x to the nearest integer. More...
__DEVICE__ double	nextafter (double __x, double __y)
	Returns next representable single-precision floating-point value after x. More...
__DEVICE__ double	norm (int __dim, const double *__a)
	Returns the square root of the sum of squares of any number of coordinates. More...
__DEVICE__ double	norm3d (double __x, double __y, double __z)
	Returns the square root of the sum of squares of x, y and z. More...
__DEVICE__ double	norm4d (double __x, double __y, double __z, double __w)
	Returns the square root of the sum of squares of x, y, z and w. More...
__DEVICE__ double	normcdf (double __x)
	Returns the standard normal cumulative distribution function. More...
__DEVICE__ double	normcdfinv (double __x)
	Returns the inverse of the standard normal cumulative distribution function. More...
__DEVICE__ double	pow (double __x, double __y)
	Returns \( x^y \). More...
__DEVICE__ double	powi (double __x, int __y)
	Returns the value of first argument to the power of second argument. More...
__DEVICE__ double	rcbrt (double __x)
	Returns the reciprocal cube root function. More...
__DEVICE__ double	remainder (double __x, double __y)
	Returns double-precision floating-point remainder. More...
__DEVICE__ double	remquo (double __x, double __y, int *__quo)
	Returns double-precision floating-point remainder and part of quotient. More...
__DEVICE__ double	rhypot (double __x, double __y)
	Returns one over the square root of the sum of squares of x and y. More...
__DEVICE__ double	rint (double __x)
	Round x to nearest integer value in floating-point. More...
__DEVICE__ double	rnorm (int __dim, const double *__a)
	Returns the reciprocal of square root of the sum of squares of any number of coordinates. More...
__DEVICE__ double	rnorm3d (double __x, double __y, double __z)
	Returns one over the square root of the sum of squares of x, y and z. More...
__DEVICE__ double	rnorm4d (double __x, double __y, double __z, double __w)
	Returns one over the square root of the sum of squares of x, y, z and w. More...
__DEVICE__ double	round (double __x)
	Round to nearest integer value in floating-point. More...
__DEVICE__ double	rsqrt (double __x)
	Returns the reciprocal of the square root of x. More...
__DEVICE__ double	scalbln (double __x, long int __n)
	Scale x by \( 2^n \). More...
__DEVICE__ double	scalbn (double __x, int __n)
	Scale x by \( 2^n \). More...
__DEVICE__ __RETURN_TYPE	__signbit (double __x)
	Return the sign bit of x. More...
__DEVICE__ double	sin (double __x)
	Returns the sine of x. More...
__DEVICE__ void	sincos (double __x, double *__sinptr, double *__cosptr)
	Returns the sine and cosine of x. More...
__DEVICE__ void	sincospi (double __x, double *__sinptr, double *__cosptr)
	Returns the sine and cosine of \( \pi x\). More...
__DEVICE__ double	sinh (double __x)
	Returns the hyperbolic sine of x. More...
__DEVICE__ double	sinpi (double __x)
	Returns the hyperbolic sine of \( \pi x\). More...
__DEVICE__ double	sqrt (double __x)
	Returns the square root of x. More...
__DEVICE__ double	tan (double __x)
	Returns the tangent of x. More...
__DEVICE__ double	tanh (double __x)
	Returns the hyperbolic tangent of x. More...
__DEVICE__ double	tgamma (double __x)
	Returns the gamma function of x. More...
__DEVICE__ double	trunc (double __x)
	Truncate x to the integral part. More...
__DEVICE__ double	y0 (double __x)
	Returns the value of the Bessel function of the second kind of order 0 for x. More...
__DEVICE__ double	y1 (double __x)
	Returns the value of the Bessel function of the second kind of order 1 for x. More...
__DEVICE__ double	yn (int __n, double __x)
	Returns the value of the Bessel function of the second kind of order n for x. More...

Detailed Description

Double Precision Floating-point Mathematical Functions

Function Documentation

◆ __finite()

__DEVICE__ __RETURN_TYPE __finite

(

double

__x

)

Determine whether x is finite.

◆ __isinf()

__DEVICE__ __RETURN_TYPE __isinf

(

double

__x

)

Determine whether x is infinite.

◆ __isnan()

__DEVICE__ __RETURN_TYPE __isnan

(

double

__x

)

Determine whether x is a NaN.

◆ __signbit()

__DEVICE__ __RETURN_TYPE __signbit

(

double

__x

)

Return the sign bit of x.

◆ acos()

__DEVICE__ double acos

(

double

__x

)

Returns the arc cosine of x.

◆ acosh()

__DEVICE__ double acosh

(

double

__x

)

Returns the nonnegative arc hyperbolic cosine of x.

◆ asin()

__DEVICE__ double asin

(

double

__x

)

Returns the arc sine of x.

◆ asinh()

__DEVICE__ double asinh

(

double

__x

)

Returns the arc hyperbolic sine of x.

◆ atan()

__DEVICE__ double atan

(

double

__x

)

Returns the arc tangent of x.

◆ atan2()

__DEVICE__ double atan2	(	double	__x,
		double	__y
	)

Returns the arc tangent of the ratio of x and y.

◆ atanh()

__DEVICE__ double atanh

(

double

__x

)

Returns the arc hyperbolic tangent of x.

◆ cbrt()

__DEVICE__ double cbrt

(

double

__x

)

Returns the cube root of x.

◆ ceil()

__DEVICE__ double ceil

(

double

__x

)

Returns ceiling of x.

◆ copysign()

__DEVICE__ double copysign	(	double	__x,
		double	__y
	)

Create value with given magnitude, copying sign of second value.

◆ cos()

__DEVICE__ double cos

(

double

__x

)

Returns the cosine of x.

◆ cosh()

__DEVICE__ double cosh

(

double

__x

)

Returns the hyperbolic cosine of x.

◆ cospi()

__DEVICE__ double cospi

(

double

__x

)

Returns the cosine of \( x\pi\).

◆ cyl_bessel_i0()

__DEVICE__ double cyl_bessel_i0

(

double

__x

)

Returns the value of the regular modified cylindrical Bessel function of order 0 for x.

◆ cyl_bessel_i1()

__DEVICE__ double cyl_bessel_i1

(

double

__x

)

Returns the value of the regular modified cylindrical Bessel function of order 1 for x.

◆ erf()

__DEVICE__ double erf

(

double

__x

)

Returns the error function of x.

◆ erfc()

__DEVICE__ double erfc

(

double

__x

)

Returns the complementary error function of x.

◆ erfcinv()

__DEVICE__ double erfcinv

(

double

__x

)

Returns the inverse complementary function of x.

◆ erfcx()

__DEVICE__ double erfcx

(

double

__x

)

Returns the scaled complementary error function of x.

◆ erfinv()

__DEVICE__ double erfinv

(

double

__x

)

Returns the inverse error function of x.

◆ exp()

__DEVICE__ double exp

(

double

__x

)

Returns \( e^x \).

◆ exp10()

__DEVICE__ double exp10

(

double

__x

)

Returns \( 10^x \).

◆ exp2()

__DEVICE__ double exp2

(

double

__x

)

Returns \( 2^x \).

◆ expm1()

__DEVICE__ double expm1

(

double

__x

)

Returns \( e^x -1\) for x.

◆ fabs()

__DEVICE__ double fabs

(

double

__x

)

Returns the absolute value of x.

◆ fdim()

__DEVICE__ double fdim	(	double	__x,
		double	__y
	)

Returns the positive difference between x and y.

◆ floor()

__DEVICE__ double floor

(

double

__x

)

Returns the largest integer less than or equal to x.

◆ fma()

__DEVICE__ double fma	(	double	__x,
		double	__y,
		double	__z
	)

Returns \(x \cdot y + z\) as a single operation.

◆ fmax()

__DEVICE__ double fmax	(	double	__x,
		double	__y
	)

Determine the maximum numeric value of x and y.

◆ fmin()

__DEVICE__ double fmin	(	double	__x,
		double	__y
	)

Determine the minimum numeric value of x and y.

◆ fmod()

__DEVICE__ double fmod	(	double	__x,
		double	__y
	)

Returns the floating-point remainder of x / y.

◆ frexp()

__DEVICE__ double frexp	(	double	__x,
		int *	__nptr
	)

Extract mantissa and exponent of x.

◆ hypot()

__DEVICE__ double hypot	(	double	__x,
		double	__y
	)

Returns the square root of the sum of squares of x and y.

◆ ilogb()

__DEVICE__ int ilogb

(

double

__x

)

Returns the unbiased integer exponent of x.

◆ j0()

__DEVICE__ double j0

(

double

__x

)

Returns the value of the Bessel function of the first kind of order 0 for x.

◆ j1()

__DEVICE__ double j1

(

double

__x

)

Returns the value of the Bessel function of the first kind of order 1 for x.

◆ jn()

__DEVICE__ double jn	(	int	__n,
		double	__x
	)

Returns the value of the Bessel function of the first kind of order n for x.

◆ ldexp()

__DEVICE__ double ldexp	(	double	__x,
		int	__e
	)

Returns the value of \(x \cdot 2^{e}\) for x and e.

◆ lgamma()

__DEVICE__ double lgamma

(

double

__x

)

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

◆ llrint()

__DEVICE__ long long int llrint

(

double

__x

)

Round x to nearest integer value.

◆ llround()

__DEVICE__ long long int llround

(

double

__x

)

Round to nearest integer value.

◆ log()

__DEVICE__ double log

(

double

__x

)

Returns the natural logarithm of x.

◆ log10()

__DEVICE__ double log10

(

double

__x

)

Returns the base 10 logarithm of x.

◆ log1p()

__DEVICE__ double log1p

(

double

__x

)

Returns the natural logarithm of x + 1.

◆ log2()

__DEVICE__ double log2

(

double

__x

)

Returns the base 2 logarithm of x.

◆ logb()

__DEVICE__ double logb

(

double

__x

)

Returns the floating point representation of the exponent of x.

◆ lrint()

__DEVICE__ long int lrint

(

double

__x

)

Round x to nearest integer value.

◆ lround()

__DEVICE__ long int lround

(

double

__x

)

Round to nearest integer value.

◆ modf()

__DEVICE__ double modf	(	double	__x,
		double *	__iptr
	)

Break down x into fractional and integral parts.

◆ nan()

__DEVICE__ double nan

(

const char *

__tagp

)

Returns "Not a Number" value.

◆ nearbyint()

__DEVICE__ double nearbyint

(

double

__x

)

Round x to the nearest integer.

◆ nextafter()

__DEVICE__ double nextafter	(	double	__x,
		double	__y
	)

Returns next representable single-precision floating-point value after x.

◆ norm()

__DEVICE__ double norm	(	int	__dim,
		const double *	__a
	)

Returns the square root of the sum of squares of any number of coordinates.

◆ norm3d()

__DEVICE__ double norm3d	(	double	__x,
		double	__y,
		double	__z
	)

Returns the square root of the sum of squares of x, y and z.

◆ norm4d()

__DEVICE__ double norm4d	(	double	__x,
		double	__y,
		double	__z,
		double	__w
	)

Returns the square root of the sum of squares of x, y, z and w.

◆ normcdf()

__DEVICE__ double normcdf

(

double

__x

)

Returns the standard normal cumulative distribution function.

◆ normcdfinv()

__DEVICE__ double normcdfinv

(

double

__x

)

Returns the inverse of the standard normal cumulative distribution function.

◆ pow()

__DEVICE__ double pow	(	double	__x,
		double	__y
	)

Returns \( x^y \).

◆ powi()

__DEVICE__ double powi	(	double	__x,
		int	__y
	)

Returns the value of first argument to the power of second argument.

◆ rcbrt()

__DEVICE__ double rcbrt

(

double

__x

)

Returns the reciprocal cube root function.

◆ remainder()

__DEVICE__ double remainder	(	double	__x,
		double	__y
	)

Returns double-precision floating-point remainder.

◆ remquo()

__DEVICE__ double remquo	(	double	__x,
		double	__y,
		int *	__quo
	)

Returns double-precision floating-point remainder and part of quotient.

◆ rhypot()

__DEVICE__ double rhypot	(	double	__x,
		double	__y
	)

Returns one over the square root of the sum of squares of x and y.

◆ rint()

__DEVICE__ double rint

(

double

__x

)

Round x to nearest integer value in floating-point.

◆ rnorm()

__DEVICE__ double rnorm	(	int	__dim,
		const double *	__a
	)

Returns the reciprocal of square root of the sum of squares of any number of coordinates.

◆ rnorm3d()

__DEVICE__ double rnorm3d	(	double	__x,
		double	__y,
		double	__z
	)

Returns one over the square root of the sum of squares of x, y and z.

◆ rnorm4d()

__DEVICE__ double rnorm4d	(	double	__x,
		double	__y,
		double	__z,
		double	__w
	)

Returns one over the square root of the sum of squares of x, y, z and w.

◆ round()

__DEVICE__ double round

(

double

__x

)

Round to nearest integer value in floating-point.

◆ rsqrt()

__DEVICE__ double rsqrt

(

double

__x

)

Returns the reciprocal of the square root of x.

◆ scalbln()

__DEVICE__ double scalbln	(	double	__x,
		long int	__n
	)

Scale x by \( 2^n \).

◆ scalbn()

__DEVICE__ double scalbn	(	double	__x,
		int	__n
	)

Scale x by \( 2^n \).

◆ sin()

__DEVICE__ double sin

(

double

__x

)

Returns the sine of x.

◆ sincos()

__DEVICE__ void sincos	(	double	__x,
		double *	__sinptr,
		double *	__cosptr
	)

Returns the sine and cosine of x.

◆ sincospi()

__DEVICE__ void sincospi	(	double	__x,
		double *	__sinptr,
		double *	__cosptr
	)

Returns the sine and cosine of \( \pi x\).

◆ sinh()

__DEVICE__ double sinh

(

double

__x

)

Returns the hyperbolic sine of x.

◆ sinpi()

__DEVICE__ double sinpi

(

double

__x

)

Returns the hyperbolic sine of \( \pi x\).

◆ sqrt()

__DEVICE__ double sqrt

(

double

__x

)

Returns the square root of x.

◆ tan()

__DEVICE__ double tan

(

double

__x

)

Returns the tangent of x.

◆ tanh()

__DEVICE__ double tanh

(

double

__x

)

Returns the hyperbolic tangent of x.

◆ tgamma()

__DEVICE__ double tgamma

(

double

__x

)

Returns the gamma function of x.

◆ trunc()

__DEVICE__ double trunc

(

double

__x

)

Truncate x to the integral part.

◆ y0()

__DEVICE__ double y0

(

double

__x

)

Returns the value of the Bessel function of the second kind of order 0 for x.

◆ y1()

__DEVICE__ double y1

(

double

__x

)

Returns the value of the Bessel function of the second kind of order 1 for x.

◆ yn()

__DEVICE__ double yn	(	int	__n,
		double	__x
	)

Returns the value of the Bessel function of the second kind of order n for x.