v?Tanh

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 10/15/2026

Version

Public

v?Tanh

vsTanh vdTanh vcTanh vzTanh vmsTanh vmdTanh vmcTanh vmzTanh Computes hyperbolic tangent of vector elements.

Syntax

call vstanh(n, a, y)
call vstanhi(n, a, inca, y, incy)
call vmstanh(n, a, y, mode)
call vmstanhi(n, a, inca, y, incy, mode)
call vdtanh(n, a, y)
call vdtanhi(n, a, inca, y, incy)
call vmdtanh(n, a, y, mode)
call vmdtanhi(n, a, inca, y, incy, mode)
call vctanh(n, a, y)
call vctanhi(n, a, inca, y, incy)
call vmctanh(n, a, y, mode)
call vmctanhi(n, a, inca, y, incy, mode)
call vztanh(n, a, y)
call vztanhi(n, a, inca, y, incy)
call vmztanh(n, a, y, mode)
call vmztanhi(n, a, inca, y, incy, mode)

Include Files

mkl_vml.f90

Input Parameters

Name	Type	Description
`n`		Specifies the number of elements to be calculated.
`a`	Fortran 77: DOUBLE PRECISION for `vdtanh` , `vmdtanh`Fortran 77: COMPLEX for `vctanh` , `vmctanh`Fortran 77: DOUBLE COMPLEX for `vztanh` , `vmztanh`Fortran 90: REAL , INTENT(IN) for `vstanh` , `vmstanh`Fortran 90: DOUBLE PRECISION , INTENT(IN) for `vdtanh` , `vmdtanh`Fortran 90: COMPLEX , INTENT(IN) for `vctanh` , `vmctanh`Fortran 90: DOUBLE COMPLEX , INTENT(IN) for `vztanh` , `vmztanh`	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 (Sets a new mode for VM functions according to the mode parameter and stores the previous VM mode to oldmode.) for possible values and their description.

Output Parameters

Name	Type	Description
`y`	Fortran 77: DOUBLE PRECISION for `vdtanh` , `vmdtanh`Fortran 77: COMPLEX for `vctanh` , `vmctanh`Fortran 77: DOUBLE COMPLEX for `vztanh` , `vmztanh`Fortran 90: REAL , INTENT(OUT) for `vstanh` , `vmstanh`Fortran 90: DOUBLE PRECISION , INTENT(OUT) for `vdtanh` , `vmdtanh`Fortran 90: COMPLEX , INTENT(OUT) for `vctanh` , `vmctanh`Fortran 90: DOUBLE COMPLEX , INTENT(OUT) for `vztanh` , `vmztanh`	Array that specifies the output vector `y` .

Description

The v?Tanh function computes hyperbolic tangent of vector elements.

Special Values for Real Function v?Tanh(x)

Argument	Result	Exception
+0	+0
-0	-0
∞	+1
∞	-1
QNAN	QNAN
SNAN	QNAN	INVALID

See Special Value Notations for the conventions used in the table below.

Special Values for Complex Function v?Tanh(z)

RE(z) i · IM(z)	∞	-X	-0	+0	+X	∞	NAN
+i · ∞	-1+i · 0	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	+1+i · 0	QNAN+i · QNAN
+i · Y	-1+i · 0 · Tan(Y)					+1+i · 0 · Tan(Y)	QNAN+i · QNAN
+i · 0	-1+i · 0		-0+i · 0	+0+i · 0		+1+i · 0	QNAN+i · 0
-i · 0	-1-i · 0		-0-i · 0	+0-i · 0		+1-i · 0	QNAN-i · 0
-i · Y	-1+i · 0 · Tan(Y)					+1+i · 0 · Tan(Y)	QNAN+i · QNAN
-i · ∞	-1-i · 0	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	+1-i · 0	QNAN+i · QNAN
+i · NAN	-1+i · 0	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	+1+i · 0	QNAN+i · QNAN

Notes:

raises INVALID exception when real or imaginary part of the argument is SNAN
\(Tanh(CONJ(z))=CONJ(Tanh(z))\)
\(Tanh(-z)=-Tanh(z)\) .

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Tanh

Syntax

Include Files

Input Parameters

Output Parameters

Description