v?Tan

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

Version

Public

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v?Tan

Computes tangent of vector elements.

Syntax

call vstan( n, a, y )

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

call vmstan( n, a, y, mode )

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

call vdtan( n, a, y )

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

call vmdtan( n, a, y, mode )

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

call vctan( n, a, y )

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

call vmctan( n, a, y, mode )

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

call vztan( n, a, y )

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

call vmztan( n, a, y, mode )

call vmztani(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 vdtan, vmdtan COMPLEX for vctan, vmctan DOUBLE COMPLEX for vztan, vmztan REAL, INTENT(IN) for vstan, vmstan DOUBLE PRECISION, INTENT(IN) for vdtan, vmdtan COMPLEX, INTENT(IN) for vctan, vmctan DOUBLE COMPLEX, INTENT(IN) for vztan, vmztan	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 vdtan, vmdtan COMPLEX for vctan, vmctan DOUBLE COMPLEX for vztan, vmztan REAL, INTENT(OUT) for vstan, vmstan DOUBLE PRECISION, INTENT(OUT) for vdtan, vmdtan COMPLEX, INTENT(OUT) for vctan, vmctan DOUBLE COMPLEX, INTENT(OUT) for vztan, vmztan	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdtan, vmdtan

COMPLEX for vctan, vmctan

DOUBLE COMPLEX for vztan, vmztan

REAL, INTENT(OUT) for vstan, vmstan

DOUBLE PRECISION, INTENT(OUT) for vdtan, vmdtan

COMPLEX, INTENT(OUT) for vctan, vmctan

DOUBLE COMPLEX, INTENT(OUT) for vztan, vmztan

Array that specifies the output vector y.

Description

The v?Tan function computes tangent of vector elements.

Note that arguments abs(a[i]) ≤ 2¹³and abs(a[i]) ≤ 2¹⁶for single and double precisions respectively are called fast computational path. These are trigonometric function arguments for which VM provides the best possible performance. Avoid arguments that do not belong to the fast computational path in the VM High Accuracy (HA) and Low Accuracy (LA) functions. Alternatively, you can use VM Enhanced Performance (EP) functions that are fast on the entire function domain. However, these functions provide less accuracy.

Special Values for Real Function v?Tan(x)
Argument	Result	VM Error Status	Exception
+0	+0
-0	-0
+∞	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

Tan(z) = -i*Tanh(i*z).

Product and Performance Information
Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex. Notice revision #20201201

Product and Performance Information

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.

Notice revision #20201201

Parent topic: Trigonometric Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Tan