v?Sqrt

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 4/28/2026

Version

Public

v?Sqrt

vsSqrt vdSqrt vcSqrt vzSqrt vmsSqrt vmdSqrt vmcSqrt vmzSqrt Computes a square root of vector elements.

Syntax

call vssqrt ( n , a , y )

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

call vmssqrt ( n , a , y , mode )

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

call vdsqrt ( n , a , y )

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

call vmdsqrt ( n , a , y , mode )

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

call vcsqrt ( n , a , y )

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

call vmcsqrt ( n , a , y , mode )

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

call vzsqrt ( n , a , y )

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

call vmzsqrt ( n , a , y , mode )

call vmzsqrti(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 `vdsqrt` , `vmdsqrt`Fortran 77: COMPLEX for `vcsqrt` , `vmcsqrt`Fortran 77: DOUBLE COMPLEX for `vzsqrt` , `vmzsqrt`Fortran 90: REAL , INTENT(IN) for `vssqrt` , `vmssqrt`Fortran 90: DOUBLE PRECISION , INTENT(IN) for `vdsqrt` , `vmdsqrt`Fortran 90: COMPLEX , INTENT(IN) for `vcsqrt` , `vmcsqrt`Fortran 90: DOUBLE COMPLEX , INTENT(IN) for `vzsqrt` , `vmzsqrt`	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: REAL for `vssqrt` , `vmssqrt`Fortran 77: DOUBLE PRECISION for `vdsqrt` , `vmdsqrt`Fortran 77: COMPLEX for `vcsqrt` , `vmcsqrt`Fortran 90: DOUBLE COMPLEX for `vzsqrt` , `vmzsqrt`Fortran 90: REAL , INTENT(OUT) for `vssqrt` , `vmssqrt`Fortran 90: DOUBLE PRECISION , INTENT(OUT) for `vdsqrt` , `vmdsqrt`Fortran 90: COMPLEX , INTENT(OUT) for `vcsqrt` , `vmcsqrt`Fortran 90: DOUBLE COMPLEX , INTENT(OUT) for `vzsqrt` , `vmzsqrt`	Array that specifies the output vector `y` .

Description

The v?Sqrt function computes a square root of vector elements.

Special Values for Real Function v?Sqrt(x)

Argument	Result	VM Error Status	Exception
X < +0	QNAN	VML_STATUS_ERRDOM	INVALID
+0	+0
-0	-0
∞	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?Sqrt(z)

RE(z) i · IM(z)	∞	-X	-0	+0	+X	∞	NAN
+i · ∞	∞ +i · ∞	∞ +i · ∞	∞ +i · ∞	∞ +i · ∞	∞ +i · ∞	∞ +i · ∞	∞ +i · ∞
+i · Y	+0+i · ∞					∞ +i · 0	QNAN+i · QNAN
+i · 0	+0+i · ∞		+0+i · 0	+0+i · 0		∞ +i · 0	QNAN+i · QNAN
-i · 0	+0-i · ∞		+0-i · 0	+0-i · 0		∞ -i · 0	QNAN+i · QNAN
-i · Y	+0-i · ∞					∞ -i · 0	QNAN+i · QNAN
-i · ∞	∞ -i · ∞	∞ -i · ∞	∞ -i · ∞	∞ -i · ∞	∞ -i · ∞	∞ -i · ∞	∞ -i · ∞
+i · NAN	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	QNAN+i · QNAN	∞ +i · QNAN	QNAN+i · QNAN

Notes:

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

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Sqrt

Syntax

Include Files

Input Parameters

Output Parameters

Description