v?LGamma

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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v?LGamma

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

Syntax

call vslgamma( n, a, y )

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

call vmslgamma( n, a, y, mode )

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

call vdlgamma( n, a, y )

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

call vmdlgamma( n, a, y, mode )

call vmdlgammai(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 vdlgamma, vmdlgamma REAL, INTENT(IN) for vslgamma, vmslgamma DOUBLE PRECISION, INTENT(IN) for vdlgamma, vmdlgamma	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 vdlgamma, vmdlgamma REAL, INTENT(OUT) for vslgamma, vmslgamma DOUBLE PRECISION, INTENT(OUT) for vdlgamma, vmdlgamma	Array that specifies the output vector y.

Name

Type

Description

y

DOUBLE PRECISION for vdlgamma, vmdlgamma

REAL, INTENT(OUT) for vslgamma, vmslgamma

DOUBLE PRECISION, INTENT(OUT) for vdlgamma, vmdlgamma

Array that specifies 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 Fortran

v?LGamma