v?LGamma

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 6/24/2024

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v?LGamma

Computes the natural logarithm of the absolute value of gamma function for vector elements.

Syntax

vhLGamma( n, a, y );

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

vmhLGamma( n, a, y, mode );

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

vsLGamma( n, a, y );

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

vmsLGamma( n, a, y, mode );

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

vdLGamma( n, a, y );

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

vmdLGamma( n, a, y, mode );

vmdLGammaI(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 vhLGamma, vmhLGamma const float* for vsLGamma, vmsLGamma const double* for vdLGamma, vmdLGamma	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`	_Float16* for vhLGamma, vmhLGamma float* for vsLGamma, vmsLGamma double* for vdLGamma, vmdLGamma	Pointer to an array that contains the output vector y.

Name

Type

Description

y

_Float16* for vhLGamma, vmhLGamma

float* for vsLGamma, vmsLGamma

double* for vdLGamma, vmdLGamma

Pointer to an array that contains the output vector y.

Description

The v?LGamma function computes the natural logarithm of the absolute value of gamma function for elements of the input vector a and writes them to the output vector y. Precision overflow thresholds for the v?LGamma function are beyond the scope of this document. If the result does not meet the target precision, the function raises the OVERFLOW exception and sets the VM Error Status to VML_STATUS_OVERFLOW.

Special Values for Real Function v?LGamma(x)
Argument	Result	VM Error Status	Exception
+1	+0
+2	+0
+0	+∞	VML_STATUS_SING	ZERODIVIDE
-0	+∞	VML_STATUS_SING	ZERODIVIDE
negative integer	+∞	VML_STATUS_SING	ZERODIVIDE
-∞	+∞
+∞	+∞
X > overflow	+∞	VML_STATUS_OVERFLOW	OVERFLOW
QNAN	QNAN
SNAN	QNAN		INVALID

Parent topic: Special Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for C

v?LGamma

Syntax

Include Files

Input Parameters

Output Parameters

Description