Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

ID 766686
Date 7/13/2023
Public

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Document Table of Contents

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.

Description

The v?Tan function computes tangent of vector elements.

Note that arguments abs(a[i]) ≤ 213 and abs(a[i]) ≤ 216 for 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