v?Tanpi

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

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v?Tanpi

Computes the tangent of vector elements multiplied by π.

Syntax

call vstanpi (n, a, y)

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

call vmstanpi (n, a, y, mode)

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

call vdtanpi (n, a, y)

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

call vmdtanpi (n, a, y, mode)

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

Include Files

mkl_vml.f90

Input Parameters

Name	Type	Description
n	INTEGER	Specifies the number of elements to be calculated.
a	REAL for vstanpi REAL for vmstanpi DOUBLE PRECISION for vdtanpi DOUBLE PRECISION for vmdtanpi	Pointer to the array containing the input vector `a`.
inca, incy	INTEGER, INTENT(IN)	Specifies increments for the elements of `a` and `y`.
mode	INTEGER (KIND=8)	Overrides the global VM mode setting for this function call. See vmlSetMode for possible values and their description.

Output Parameters

Name	Type	Description
`y`	REAL for vstanpi REAL for vmstanpi DOUBLE PRECISION for vdtanpi DOUBLE PRECISION for vmdtanpi	Pointer to an array containing the output vector `y`.

Name

Type

Description

y

REAL for vstanpi

REAL for vmstanpi

DOUBLE PRECISION for vdtanpi

DOUBLE PRECISION for vmdtanpi

Pointer to an array containing the output vector y.

Description

The v?Tanpi function computes the tangent of vector elements multiplied by π. For an argument x, the function computes tan(π*x).

Special values for Real Function v?Tanpi(x)
Argument	Result	VM Error Status	Exception
+0	+1
-0	+1
±∞	QNAN	VML_STATUS_ERRDOM	INVALID
`n`, even integer	copysign(0.0, `n`)
`n`, odd integer	copysign(0.0, -`n`)
`n` + 0.5, for `n` even integer and `n` + 0.5 representable	+∞
`n` + 0.5, for `n` odd integer and `n` + 0.5 representable	-∞
QNAN	QNAN
SNAN	QNAN		INVALID

The copysign(x, y) function returns the first vector argument x with the sign changed to match that of the second argument y.

Application Notes

If arguments abs(a_i) ≤ 2¹³ for single precision or abs(a_i ) ≤ 2⁶⁷ for double precision, they belong to the fast computational path: arguments for which VM provides the best possible performance. Avoid arguments with do not belong to the fast computational path in VM High Accuracy (HA) or Low Accuracy (LA) functions. For arguments which do not belong to the fast computational path you can use VM Enhanced Performance (EP) functions, which are fast on the entire function domain. However, these functions provide lower accuracy.

Parent topic: Trigonometric Functions

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v?Tanpi

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