v?Asinh

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

Download PDF

ID 766686

Date 4/28/2026

Version

Public

v?Asinh

vsAsinh vdAsinh vcAsinh vzAsinh vmsAsinh vmdAsinh vmcAsinh vmzAsinh Computes inverse hyperbolic sine of vector elements.

Syntax

call vsasinh ( n , a , y )

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

call vmsasinh ( n , a , y , mode )

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

call vdasinh ( n , a , y )

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

call vmdasinh ( n , a , y , mode )

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

call vcasinh ( n , a , y )

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

call vmcasinh ( n , a , y , mode )

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

call vzasinh ( n , a , y )

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

call vmzasinh ( n , a , y , mode )

call vmzasinhi(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 `vdasinh` , `vmdasinh`Fortran 77: COMPLEX for `vcasinh` , `vmcasinh`Fortran 77: DOUBLE COMPLEX for `vzasinh` , `vmzasinh`Fortran 90: REAL , INTENT(IN) for `vsasinh` , `vmsasinh`Fortran 90: DOUBLE PRECISION , INTENT(IN) for `vdasinh` , `vmdasinh`Fortran 90: COMPLEX , INTENT(IN) for `vcasinh` , `vmcasinh`Fortran 90: DOUBLE COMPLEX , INTENT(IN) for `vzasinh` , `vmzasinh`	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 `vdasinh` , `vmdasinh`Fortran 77: COMPLEX for `vcasinh` , `vmcasinh`Fortran 77: DOUBLE COMPLEX for `vzasinh` , `vmzasinh`Fortran 90: REAL , INTENT(OUT) for `vsasinh` , `vmsasinh`Fortran 90: DOUBLE PRECISION , INTENT(OUT) for `vdasinh` , `vmdasinh`Fortran 90: COMPLEX , INTENT(OUT) for `vcasinh` , `vmcasinh`Fortran 90: DOUBLE COMPLEX , INTENT(OUT) for `vzasinh` , `vmzasinh`	Array that specifies the output vector `y` .

Description

The v?Asinh function computes inverse hyperbolic sine of vector elements.

Special Values for Real Function v?Asinh(x)

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

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

Special Values for Complex Function v?Asinh(z)

RE(z) i · IM(z)	∞	-X	-0	+0	+X	∞	NAN
+i · ∞	∞ +i · `π` /4	∞ +i · `π` /2	∞ +i · `π` /2	∞ +i · `π` /2	∞ +i · `π` /2	∞ +i · `π` /4	∞ +i · QNAN
+i · Y	∞ +i · 0					∞ +i · 0	QNAN+i · QNAN
+i · 0	∞ +i · 0		+0+i · 0	+0+i · 0		∞ +i · 0	QNAN+i · QNAN
-i · 0	∞ -i · 0		-0-i · 0	+0-i · 0		∞ -i · 0	QNAN-i · QNAN
-i · Y	∞ -i · 0					∞ -i · 0	QNAN+i · QNAN
-i · ∞	∞ -i · `π` /4	∞ -i · `π` /2	∞ -i · `π` /2	∞ -i · `π` /2	∞ -i · `π` /2	∞ -i · `π` /4	∞ +i · QNAN
+i · NAN	∞ +i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	∞ +i · QNAN	QNAN+i · QNAN

Notes:

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

Select Your Language

Using Intel.com Search

Quick Links

Recent Searches

Advanced Search

Only search in

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Asinh

Syntax

Include Files

Input Parameters

Output Parameters

Description