v?Sqrt

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?Sqrt

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`	DOUBLE PRECISION for vdsqrt, vmdsqrt COMPLEX for vcsqrt, vmcsqrt DOUBLE COMPLEX for vzsqrt, vmzsqrt REAL, INTENT(IN) for vssqrt, vmssqrt DOUBLE PRECISION, INTENT(IN) for vdsqrt, vmdsqrt COMPLEX, INTENT(IN) for vcsqrt, vmcsqrt 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 for possible values and their description.

Output Parameters

Name	Type	Description
`y`	REAL for vssqrt, vmssqrt DOUBLE PRECISION for vdsqrt, vmdsqrt COMPLEX for vcsqrt, vmcsqrt DOUBLE COMPLEX for vzsqrt, vmzsqrt REAL, INTENT(OUT) for vssqrt, vmssqrt DOUBLE PRECISION, INTENT(OUT) for vdsqrt, vmdsqrt COMPLEX, INTENT(OUT) for vcsqrt, vmcsqrt DOUBLE COMPLEX, INTENT(OUT) for vzsqrt, vmzsqrt	Array that specifies the output vector y.

Name

Type

Description

y

REAL for vssqrt, vmssqrt

DOUBLE PRECISION for vdsqrt, vmdsqrt

COMPLEX for vcsqrt, vmcsqrt

DOUBLE COMPLEX for vzsqrt, vmzsqrt

REAL, INTENT(OUT) for vssqrt, vmssqrt

DOUBLE PRECISION, INTENT(OUT) for vdsqrt, vmdsqrt

COMPLEX, INTENT(OUT) for vcsqrt, vmcsqrt

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)).

Parent topic: Power and Root Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Sqrt