v?Div

Performs element by element division of vector a by vector b

Syntax

FORTRAN:

call vsdiv( n, a, b, y )

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

call vddiv( n, a, b, y )

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

call vcdiv( n, a, b, y )

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

call vzdiv( n, a, b, y )

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

vsDiv( n, a, b, y );

vmsDiv( n, a, b, y, mode );

vdDiv( n, a, b, y );

vmdDiv( n, a, b, y, mode );

vcDiv( n, a, b, y );

vmcDiv( n, a, b, y, mode );

vzDiv( n, a, b, y );

vmzDiv( n, a, b, y, mode );

Include Files

FORTRAN 77: mkl_vml.f77
Fortran 90: mkl_vml.f90
C: mkl_vml_functions.h

Input Parameters

Name	Type	Description
n	FORTRAN 77: INTEGER Fortran 90: INTEGER, INTENT(IN) C: const int	Specifies the number of elements to be calculated.
a, b	FORTRAN 77: REAL for vsdiv, vmsdiv DOUBLE PRECISION for vddiv, vmddiv COMPLEX for vcdiv, vmcdiv DOUBLE COMPLEX for vzdiv, vmzdiv Fortran 90: 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 C: const float* for vsDiv, vmsDiv const double* for vdDiv, vmdDiv const MKL_Complex8* for vcDiv, vmcDiv const MKL_Complex16* for vzDiv, vmzDiv	FORTRAN: Arrays that specify the input vectors a and b. C: Pointers to arrays that contain the input vectors a and b.
mode	FORTRAN 77: INTEGER8 Fortran 90:* INTEGER(KIND=8), INTENT(IN) C: const MKL_INT64	Overrides global VML mode setting for this function call. See vmlSetMode for possible values and their description.

Name

Type

Description

FORTRAN 77: INTEGER

Fortran 90: INTEGER, INTENT(IN)

C: const int

Specifies the number of elements to be calculated.

a, b

FORTRAN 77: REAL for vsdiv, vmsdiv

DOUBLE PRECISION for vddiv, vmddiv

COMPLEX for vcdiv, vmcdiv

DOUBLE COMPLEX for vzdiv, vmzdiv

Fortran 90: 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

C: const float* for vsDiv, vmsDiv

const double* for vdDiv, vmdDiv

const MKL_Complex8* for vcDiv, vmcDiv

const MKL_Complex16* for vzDiv, vmzDiv

FORTRAN: Arrays that specify the input vectors a and b.

C: Pointers to arrays that contain the input vectors a and b.

mode

FORTRAN 77: INTEGER*8

Fortran 90: INTEGER(KIND=8), INTENT(IN)

C: const MKL_INT64

Overrides global VML 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	FORTRAN 77: REAL for vsdiv, vmsdiv DOUBLE PRECISION for vddiv, vmddiv COMPLEX for vcdiv, vmcdiv DOUBLE COMPLEX for vzdiv, vmzdiv Fortran 90: 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 C: float* for vsDiv, vmsDiv double* for vdDiv, vmdDiv MKL_Complex8* for vcDiv, vmcDiv MKL_Complex16* for vzDiv, vmzDiv	FORTRAN: Array that specifies the output vector y. C: Pointer to an array that contains the output vector y.

Name

Type

Description

FORTRAN 77: REAL for vsdiv, vmsdiv

DOUBLE PRECISION for vddiv, vmddiv

COMPLEX for vcdiv, vmcdiv

DOUBLE COMPLEX for vzdiv, vmzdiv

Fortran 90: 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

C: float* for vsDiv, vmsDiv

double* for vdDiv, vmdDiv

MKL_Complex8* for vcDiv, vmcDiv

MKL_Complex16* for vzDiv, vmzDiv

FORTRAN: Array that specifies the output vector y.

C: Pointer to an array that contains 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	VML 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 VML Error Status to VML_STATUS_OVERFLOW.