v?Sqrt

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 10/15/2026

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