v?Ln

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 4/28/2026

Version

Public

v?Ln

vsLn vmsLn vdLn vmdLn vcLn vmcLn vzLn vmzLn Computes natural logarithm of vector elements.

Syntax

call vsln ( n , a , y )

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

call vmsln ( n , a , y , mode )

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

call vdln ( n , a , y )

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

call vmdln ( n , a , y , mode )

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

call vcln ( n , a , y )

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

call vmcln ( n , a , y , mode )

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

call vzln ( n , a , y )

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

call vmzln ( n , a , y , mode )

call vmzlni(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`	Fortran 77: DOUBLE PRECISION for `vdln` , `vmdln`Fortran 77: COMPLEX for `vcln` , `vmcln`Fortran 77: DOUBLE COMPLEX for `vzln` , `vmzln`Fortran 90: REAL , INTENT(IN) for `vsln` , `vmsln`Fortran 90: DOUBLE PRECISION , INTENT(IN) for `vdln` , `vmdln`Fortran 90: COMPLEX , INTENT(IN) for `vcln` , `vmcln`Fortran 90: DOUBLE COMPLEX , INTENT(IN) for `vzln` , `vmzln`	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 (Sets a new mode for VM functions according to the mode parameter and stores the previous VM mode to oldmode.) for possible values and their description.

Output Parameters

Name	Type	Description
`y`	Fortran 77: DOUBLE PRECISION for `vdln` , `vmdln`Fortran 77: COMPLEX for `vcln` , `vmcln`Fortran 77: DOUBLE COMPLEX for `vzln` , `vmzln`Fortran 90: REAL , INTENT(OUT) for `vsln` , `vmsln`Fortran 90: DOUBLE PRECISION , INTENT(OUT) for `vdln` , `vmdln`Fortran 90: COMPLEX , INTENT(OUT) for `vcln` , `vmcln`Fortran 90: DOUBLE COMPLEX , INTENT(OUT) for `vzln` , `vmzln`	Array that specifies the output vector `y` .

Description

The v?Ln function computes natural logarithm of vector elements.

Special Values for Real Function v?Ln(x)

Argument	Result	VM Error Status	Exception
+1	+0
X < +0	QNAN	VML_STATUS_ERRDOM	INVALID
+0	∞	VML_STATUS_SING	ZERODIVIDE
-0	∞	VML_STATUS_SING	ZERODIVIDE
∞	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?Ln(z)

RE(z) i · IM(z)	∞	-X	-0	+0	+X	∞	NAN
+i · ∞		∞ +i · `π` /2	∞ +i · `π` /2	∞ +i · `π` /2	∞ +i · `π` /2	∞ +i · `π` /4	∞ +i · QNAN
+i · Y	∞ +i · `π`					∞ +i · 0	QNAN+i · QNAN INVALID
+i · 0	∞ +i · `π`		∞ +i · `π` ZERODIVIDE	∞ +i · 0 ZERODIVIDE		∞ +i · 0	QNAN+i · QNAN INVALID
-i · 0	∞ -i · `π`		∞ -i · `π` ZERODIVIDE	∞ -i · 0 ZERODIVIDE		∞ -i · 0	QNAN+i · QNAN INVALID
-i · Y	∞ -i · `π`					∞ -i · 0	QNAN+i · QNAN INVALID
-i · ∞		∞ -i · `π` /2	∞ -i · `π` /2	∞ -i · `π` /2	∞ -i · `π` /2	∞ -i · `π` /4	∞ +i · QNAN
+i · NAN	∞ +i · QNAN	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	QNAN+i · QNAN INVALID	∞ +i · QNAN	QNAN+i · QNAN INVALID

Notes:

raises INVALID exception when real or imaginary part of the argument is SNAN

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Ln

Syntax

Include Files

Input Parameters

Output Parameters

Description