v?TGamma

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?TGamma

Computes the gamma function of vector elements.

Syntax

call vstgamma( n, a, y )

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

call vmstgamma( n, a, y, mode )

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

call vdtgamma( n, a, y )

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

call vmdtgamma( n, a, y, mode )

call vmdtgammai(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 vdtgamma, vmdtgamma REAL, INTENT(IN) for vstgamma, vmstgamma DOUBLE PRECISION, INTENT(IN) for vdtgamma, vmdtgamma	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 vdtgamma, vmdtgamma REAL, INTENT(OUT) for vstgamma, vmstgamma DOUBLE PRECISION, INTENT(OUT) for vdtgamma, vmdtgamma	Array that specifies the output vector y.

Name

Type

Description

y

DOUBLE PRECISION for vdtgamma, vmdtgamma

REAL, INTENT(OUT) for vstgamma, vmstgamma

DOUBLE PRECISION, INTENT(OUT) for vdtgamma, vmdtgamma

Array that specifies the output vector y.

Description

The v?TGamma function computes the gamma function for elements of the input vector a and writes them to the output vector y. Precision overflow thresholds for the v?TGamma 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?TGamma(x)
Argument	Result	VM Error Status	Exception
+0	+∞	VML_STATUS_SING	ZERODIVIDE
-0	-∞	VML_STATUS_SING	ZERODIVIDE
negative integer	QNAN	VML_STATUS_ERRDOM	INVALID
-∞	QNAN	VML_STATUS_ERRDOM	INVALID
+∞	+∞
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?TGamma