v?Asinh

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?Asinh

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	INTEGER, INTENT(IN)	Specifies the number of elements to be calculated.
a	DOUBLE PRECISION for vdasinh, vmdasinh COMPLEX for vcasinh, vmcasinh DOUBLE COMPLEX for vzasinh, vmzasinh REAL, INTENT(IN) for vsasinh, vmsasinh DOUBLE PRECISION, INTENT(IN) for vdasinh, vmdasinh COMPLEX, INTENT(IN) for vcasinh, vmcasinh 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 for possible values and their description.

Output Parameters

Name	Type	Description
y	DOUBLE PRECISION for vdasinh, vmdasinh COMPLEX for vcasinh, vmcasinh DOUBLE COMPLEX for vzasinh, vmzasinh REAL, INTENT(OUT) for vsasinh, vmsasinh DOUBLE PRECISION, INTENT(OUT) for vdasinh, vmdasinh COMPLEX, INTENT(OUT) for vcasinh, vmcasinh DOUBLE COMPLEX, INTENT(OUT) for vzasinh, vmzasinh	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdasinh, vmdasinh

COMPLEX for vcasinh, vmcasinh

DOUBLE COMPLEX for vzasinh, vmzasinh

REAL, INTENT(OUT) for vsasinh, vmsasinh

DOUBLE PRECISION, INTENT(OUT) for vdasinh, vmdasinh

COMPLEX, INTENT(OUT) for vcasinh, vmcasinh

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).

Parent topic: Hyperbolic Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Asinh