v?Acos

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 3/31/2023

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v?Acos

Computes inverse cosine of vector elements.

Syntax

vsAcos( n, a, y );

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

vmsAcos( n, a, y, mode );

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

vdAcos( n, a, y );

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

vmdAcos( n, a, y, mode );

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

vcAcos( n, a, y );

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

vmcAcos( n, a, y, mode );

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

vzAcos( n, a, y );

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

vmzAcos( n, a, y, mode );

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

Include Files

mkl.h

Input Parameters

Name	Type	Description
n	const int	Specifies the number of elements to be calculated.
a	const float* for vsAcos, vmsAcos const double* for vdAcos, vmdAcos const MKL_Complex8* for vcAcos, vmcAcos const MKL_Complex16* for vzAcos, vmzAcos	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 for possible values and their description.

Output Parameters

Name	Type	Description
y	float* for vsAcos, vmsAcos double* for vdAcos, vmdAcos MKL_Complex8* for vcAcos, vmcAcos MKL_Complex16* for vzAcos, vmzAcos	Pointer to an array that contains the output vector y.

Name

Type

Description

float* for vsAcos, vmsAcos

double* for vdAcos, vmdAcos

MKL_Complex8* for vcAcos, vmcAcos

MKL_Complex16* for vzAcos, vmzAcos

Pointer to an array that contains the output vector y.

Description

The v?Acos function computes inverse cosine of vector elements.

Special Values for Real Function v?Acos(x)
Argument	Result	VM Error Status	Exception
+0	+`π`/2
-0	+`π`/2
+1	+0
-1	+`π`
\|X\| > 1	QNAN	VML_STATUS_ERRDOM	INVALID
+∞	QNAN	VML_STATUS_ERRDOM	INVALID
-∞	QNAN	VML_STATUS_ERRDOM	INVALID
QNAN	QNAN
SNAN	QNAN		INVALID

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

Special Values for Complex Function v?Acos(z)
RE(z) i·IM(z)	-∞	-X	-0	+0	+X	+∞	NAN
+i·∞	+3·`π`/4-i·∞	+`π`/2-i·∞	+`π`/2-i·∞	+`π`/2-i·∞	+`π`/2-i·∞	+`π`/4-i·∞	QNAN-i·∞
+i·Y	+`π`-i·∞					+0-i·∞	QNAN+i·QNAN
+i·0	+`π`-i·∞		+`π`/2-i·0	+`π`/2-i·0		+0-i·∞	QNAN+i·QNAN
-i·0	+`π`+i·∞		+`π`/2+i·0	+`π`/2+i·0		+0+i·∞	QNAN+i·QNAN
-i·Y	+`π`+i·∞					+0+i·∞	QNAN+i·QNAN
-i·∞	+3`π`/4+i·∞	+`π`/2+i·∞	+`π`/2+i·∞	+`π`/2+i·∞	+`π`/2+i·∞	+`π`/4+i·∞	QNAN+i·∞
+i·NAN	QNAN+i·∞	QNAN+i·QNAN	+`π`/2+i·QNAN	+`π`/2+i·QNAN	QNAN+i·QNAN	QNAN+i·∞	QNAN+i·QNAN

Notes:

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

Parent topic: Trigonometric Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for C

v?Acos