v?Atan

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 11/07/2023

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v?Atan

Computes inverse tangent of vector elements.

Syntax

call vsatan( n, a, y )

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

call vmsatan( n, a, y, mode )

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

call vdatan( n, a, y )

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

call vmdatan( n, a, y, mode )

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

call vcatan( n, a, y )

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

call vmcatan( n, a, y, mode )

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

call vzatan( n, a, y )

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

call vmzatan( n, a, y, mode )

call vmzatani(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 vdatan, vmdatan COMPLEX for vcatan, vmcatan DOUBLE COMPLEX for vzatan, vmzatan REAL, INTENT(IN) for vsatan, vmsatan DOUBLE PRECISION, INTENT(IN) for vdatan, vmdatan COMPLEX, INTENT(IN) for vcatan, vmcatan DOUBLE COMPLEX, INTENT(IN) for vzatan, vmzatan	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 vdatan, vmdatan COMPLEX for vcatan, vmcatan DOUBLE COMPLEX for vzatan, vmzatan REAL, INTENT(OUT) for vsatan, vmsatan DOUBLE PRECISION, INTENT(OUT) for vdatan, vmdatan COMPLEX, INTENT(OUT) for vcatan, vmcatan DOUBLE COMPLEX, INTENT(OUT) for vzatan, vmzatan	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdatan, vmdatan

COMPLEX for vcatan, vmcatan

DOUBLE COMPLEX for vzatan, vmzatan

REAL, INTENT(OUT) for vsatan, vmsatan

DOUBLE PRECISION, INTENT(OUT) for vdatan, vmdatan

COMPLEX, INTENT(OUT) for vcatan, vmcatan

DOUBLE COMPLEX, INTENT(OUT) for vzatan, vmzatan

Array that specifies the output vector y.

Description

The v?Atan function computes inverse tangent of vector elements.

Special Values for Real Function v?Atan(x)
Argument	Result	Exception
+0	+0
-0	-0
+∞	+`π`/2
-∞	-`π`/2
QNAN	QNAN
SNAN	QNAN	INVALID

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

Atan(z) = -i*Atanh(i*z).

Parent topic: Trigonometric Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Atan

Syntax

Include Files

Input Parameters

Output Parameters

Description