v?Asin

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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v?Asin

Computes inverse sine of vector elements.

Syntax

call vsasin( n, a, y )

call vsasini(n, a, inca, y, incy)

call vmsasin( n, a, y, mode )

call vmsasini(n, a, inca, y, incy, mode)

call vdasin( n, a, y )

call vdasini(n, a, inca, y, incy)

call vmdasin( n, a, y, mode )

call vmdasini(n, a, inca, y, incy, mode)

call vcasin( n, a, y )

call vcasini(n, a, inca, y, incy)

call vmcasin( n, a, y, mode )

call vmcasini(n, a, inca, y, incy, mode)

call vzasin( n, a, y )

call vzasini(n, a, inca, y, incy)

call vmzasin( n, a, y, mode )

call vmzasini(n, a, inca, y, incy, mode)

Include Files

mkl_vml.f90

Input Parameters

Name	Type	Description
n	INTEGER, INTENT(IN)	Specifies the number of elements to be calculated.
a	DOUBLE PRECISION for vdasin, vmdasin COMPLEX for vcasin, vmcasin DOUBLE COMPLEX for vzasin, vmzasin REAL, INTENT(IN) for vsasin, vmsasin DOUBLE PRECISION, INTENT(IN) for vdasin, vmdasin COMPLEX, INTENT(IN) for vcasin, vmcasin DOUBLE COMPLEX, INTENT(IN) for vzasin, vmzasin	Array that specifies the input vector a.
inca, incy	INTEGER, INTENT(IN)	Specifies increments for the elements of `a` and `y`.
mode	INTEGER(KIND=8), INTENT(IN)	Overrides global VM mode setting for this function call. See vmlSetMode for possible values and their description.

Output Parameters

Name	Type	Description
y	DOUBLE PRECISION for vdasin, vmdasin COMPLEX for vcasin, vmcasin DOUBLE COMPLEX for vzasin, vmzasin REAL, INTENT(OUT) for vsasin, vmsasin DOUBLE PRECISION, INTENT(OUT) for vdasin, vmdasin COMPLEX, INTENT(OUT) for vcasin, vmcasin DOUBLE COMPLEX, INTENT(OUT) for vzasin, vmzasin	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdasin, vmdasin

COMPLEX for vcasin, vmcasin

DOUBLE COMPLEX for vzasin, vmzasin

REAL, INTENT(OUT) for vsasin, vmsasin

DOUBLE PRECISION, INTENT(OUT) for vdasin, vmdasin

COMPLEX, INTENT(OUT) for vcasin, vmcasin

DOUBLE COMPLEX, INTENT(OUT) for vzasin, vmzasin

Array that specifies the output vector y.

Description

The v?Asin function computes inverse sine of vector elements.

Special Values for Real Function v?Asin(x)
Argument	Result	VM Error Status	Exception
+0	+0
-0	-0
+1	+`π`/2
-1	-`π`/2
\|X\| > 1	QNAN	VML_STATUS_ERRDOM	INVALID
+∞	QNAN	VML_STATUS_ERRDOM	INVALID
-∞	QNAN	VML_STATUS_ERRDOM	INVALID
QNAN	QNAN
SNAN	QNAN		INVALID

Specifications for special values of the complex functions are defined according to the following formula

Asin(z) = -i*Asinh(i*z).

Parent topic: Trigonometric Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Asin