v?Div

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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Public

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v?Div

Performs element by element division of vector a by vector b

Syntax

call vsdiv( n, a, b, y )

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

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

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

call vddiv( n, a, b, y )

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

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

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

call vcdiv( n, a, b, y )

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

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

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

call vzdiv( n, a, b, y )

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

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

call vmzdivi(n, a, inca, b, incb, 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, b	DOUBLE PRECISION for vddiv, vmddiv COMPLEX for vcdiv, vmcdiv DOUBLE COMPLEX for vzdiv, vmzdiv REAL, INTENT(IN) for vsdiv, vmsdiv DOUBLE PRECISION, INTENT(IN) for vddiv, vmddiv COMPLEX, INTENT(IN) for vcdiv, vmcdiv DOUBLE COMPLEX, INTENT(IN) for vzdiv, vmzdiv	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 for possible values and their description.

Precision Overflow Thresholds for Real v?Div Function
Data Type	Threshold Limitations on Input Parameters
single precision	`abs(a[i]) < abs(b[i]) * FLT_MAX`
double precision	`abs(a[i]) < abs(b[i]) * DBL_MAX`

Precision overflow thresholds for the complex v?Div function are beyond the scope of this document.

Output Parameters

Name	Type	Description
y	DOUBLE PRECISION for vddiv, vmddiv COMPLEX for vcdiv, vmcdiv DOUBLE COMPLEX for vzdiv, vmzdiv REAL, INTENT(OUT) for vsdiv, vmsdiv DOUBLE PRECISION, INTENT(OUT) for vddiv, vmddiv COMPLEX, INTENT(OUT) for vcdiv, vmcdiv DOUBLE COMPLEX, INTENT(OUT) for vzdiv, vmzdiv	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vddiv, vmddiv

COMPLEX for vcdiv, vmcdiv

DOUBLE COMPLEX for vzdiv, vmzdiv

REAL, INTENT(OUT) for vsdiv, vmsdiv

DOUBLE PRECISION, INTENT(OUT) for vddiv, vmddiv

COMPLEX, INTENT(OUT) for vcdiv, vmcdiv

DOUBLE COMPLEX, INTENT(OUT) for vzdiv, vmzdiv

Array that specifies the output vector y.

Description

The v?Div function performs element by element division of vector a by vector b.

Special values for Real Function v?Div(x)
Argument 1	Argument 2	Result	VM Error Status	Exception
X > +0	+0	+∞	VML_STATUS_SING	ZERODIVIDE
X > +0	-0	-∞	VML_STATUS_SING	ZERODIVIDE
X < +0	+0	-∞	VML_STATUS_SING	ZERODIVIDE
X < +0	-0	+∞	VML_STATUS_SING	ZERODIVIDE
+0	+0	QNAN	VML_STATUS_SING
-0	-0	QNAN	VML_STATUS_SING
X > +0	+∞	+0
X > +0	-∞	-0
+∞	+∞	QNAN
-∞	-∞	QNAN
QNAN	QNAN	QNAN
SNAN	SNAN	QNAN		INVALID

Specifications for special values of the complex functions are defined according to the following formula

Div(x1+i*y1,x2+i*y2) = (x1+i*y1)*(x2-i*y2)/(x2*x2+y2*y2).

Overflow in a complex function occurs when x2+i*y2 is not zero, x1, x2, y1, y2 are finite numbers, but the real or imaginary part of the exact result is so large that it does not fit the target precision. In that case, the function returns ∞ in that part of the result, raises the OVERFLOW exception, and sets the VM Error Status to VML_STATUS_OVERFLOW.

Parent topic: Power and Root Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Div