v?Tanh

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 4/28/2026

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