v?Asinh

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 4/28/2026

Version

Public

v?Asinh

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

Syntax

vhAsinh ( n , a , y ) ;

vhAsinhI(n, a, inca, y, incy);

vmhAsinh ( n , a , y , mode ) ;

vmhAsinhI(n, a, inca, y, incy, mode);

vsAsinh ( n , a , y ) ;

vsAsinhI(n, a, inca, y, incy);

vmsAsinh ( n , a , y , mode ) ;

vmsAsinhI(n, a, inca, y, incy, mode);

vdAsinh ( n , a , y ) ;

vdAsinhI(n, a, inca, y, incy);

vmdAsinh ( n , a , y , mode ) ;

vmdAsinhI(n, a, inca, y, incy, mode);

vcAsinh ( n , a , y ) ;

vcAsinhI(n, a, inca, y, incy);

vmcAsinh ( n , a , y , mode ) ;

vmcAsinhI(n, a, inca, y, incy, mode);

vzAsinh ( n , a , y ) ;

vzAsinhI(n, a, inca, y, incy);

vmzAsinh ( n , a , y , mode ) ;

vmzAsinhI(n, a, inca, y, incy, mode);

Include Files

mkl.h

Input Parameters

Name	Type	Description
`n`	const MKL_INT	Specifies the number of elements to be calculated.
`a`	const _Float16* for `vhAsinh` , `vmhAsinh` const float* for `vsAsinh` , `vmsAsinh` const double* for `vdAsinh` , `vmdAsinh` const MKL_Complex8* for `vcAsinh` , `vmcAsinh` const MKL_Complex16* for `vzAsinh` , `vmzAsinh`	Pointer to an array that contains the input vector `a` .
`inca` , `incy`	const MKL_INT	Specifies increments for the elements of `a` and `y` .
`mode`	const MKL_INT64	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`	_Float16* for `vhAsinh` , `vmhAsinh` float* for `vsAsinh` , `vmsAsinh` double* for `vdAsinh` , `vmdAsinh` MKL_Complex8* for `vcAsinh` , `vmcAsinh` MKL_Complex16* for `vzAsinh` , `vmzAsinh`	Pointer to an array that contains 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) .

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Developer Reference for Intel® oneAPI Math Kernel Library for C

v?Asinh

Syntax

Include Files

Input Parameters

Output Parameters

Description