v?Hypot

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 4/28/2026

Version

Public

vsHypot vdHypot vmsHypot vmdHypot Computes a square root of sum of two squared elements.

call vshypot ( n , a , b , y )

call vshypoti(n, a, inca, b, incb, y, incy)

call vmshypot ( n , a , b , y , mode )

call vmshypoti(n, a, inca, b, incb, y, incy, mode)

call vdhypot ( n , a , b , y )

call vdhypoti(n, a, inca, b, incb, y, incy)

call vmdhypot ( n , a , b , y , mode )

call vmdhypoti(n, a, inca, b, incb, y, incy, mode)

Name	Type	Description
`n`	INTEGER , INTENT(IN)	Number of elements to be calculated.
`a` , `b`	Fortran 77: DOUBLE PRECISION for `vdhypot` , `vmdhypot`Fortran 90: REAL , INTENT(IN) for `vshypot` , `vmshypot`Fortran 90: DOUBLE PRECISION , INTENT(IN) for `vdhypot` , `vmdhypot`	Arrays that specify the input vectors `a` and `b`
`inca` , `incb` , `incy`	INTEGER, INTENT(IN)	Specifies increments for the elements of `a` , `b` , 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.

Precision Overflow Thresholds for Hypot Function

Data Type	Threshold Limitations on Input Parameters
single precision	`abs(a[i]) < sqrt(FLT_MAX)abs(b[i]) < sqrt(FLT_MAX)`
double precision	`abs(a[i]) < sqrt(DBL_MAX)abs(b[i]) < sqrt(DBL_MAX)`

Name	Type	Description
`y`	Fortran 77: DOUBLE PRECISION for `vdhypot` , `vmdhypot`Fortran 90: REAL , INTENT(OUT) for `vshypot` , `vmshypot`Fortran 90: DOUBLE PRECISION , INTENT(OUT) for `vdhypot` , `vmdhypot`	Array that specifies the output vector `y` .

The function v?Hypot computes a square root of sum of two squared elements.

Special values for Real Function v?Hypot(x)

Argument 1	Argument 2	Result	Exception
+0	+0	+0
-0	-0	+0
∞	any value	∞
any value	∞	∞
SNAN	any value	QNAN	INVALID
any value	SNAN	QNAN	INVALID
QNAN	any value	QNAN
any value	QNAN	QNAN