v?Tanh

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?Tanh

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	INTEGER, INTENT(IN)	Specifies the number of elements to be calculated.
a	DOUBLE PRECISION for vdtanh, vmdtanh COMPLEX for vctanh, vmctanh DOUBLE COMPLEX for vztanh, vmztanh REAL, INTENT(IN) for vstanh, vmstanh DOUBLE PRECISION, INTENT(IN) for vdtanh, vmdtanh COMPLEX, INTENT(IN) for vctanh, vmctanh 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 for possible values and their description.

Output Parameters

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

Name

Type

Description

DOUBLE PRECISION for vdtanh, vmdtanh

COMPLEX for vctanh, vmctanh

DOUBLE COMPLEX for vztanh, vmztanh

REAL, INTENT(OUT) for vstanh, vmstanh

DOUBLE PRECISION, INTENT(OUT) for vdtanh, vmdtanh

COMPLEX, INTENT(OUT) for vctanh, vmctanh

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).

Parent topic: Hyperbolic Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Tanh