v?Mul

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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v?Mul

Performs element by element multiplication of vector a and vector b.

Syntax

call vsmul( n, a, b, y )

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

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

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

call vdmul( n, a, b, y )

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

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

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

call vcmul( n, a, b, y )

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

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

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

call vzmul( n, a, b, y )

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

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

call vmzmuli(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 vdmul, vmdmul COMPLEX for vcmul, vmcmul DOUBLE COMPLEX for vzmul, vmzmul REAL, INTENT(IN) for vsmul, vmsmul DOUBLE PRECISION, INTENT(IN) for vdmul, vmdmul COMPLEX, INTENT(IN) for vcmul, vmcmul DOUBLE COMPLEX, INTENT(IN) for vzmul, vmzmul	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.

Output Parameters

Name	Type	Description
y	DOUBLE PRECISION for vdmul, vmdmul COMPLEX, for vcmul, vmcmul DOUBLE COMPLEX for vzmul, vmzmul REAL, INTENT(OUT) for vsmul, vmsmul DOUBLE PRECISION, INTENT(OUT) for vdmul, vmdmul COMPLEX, INTENT(OUT) for vcmul, vmcmul DOUBLE COMPLEX, INTENT(OUT) for vzmul, vmzmul	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdmul, vmdmul

COMPLEX, for vcmul, vmcmul

DOUBLE COMPLEX for vzmul, vmzmul

REAL, INTENT(OUT) for vsmul, vmsmul

DOUBLE PRECISION, INTENT(OUT) for vdmul, vmdmul

COMPLEX, INTENT(OUT) for vcmul, vmcmul

DOUBLE COMPLEX, INTENT(OUT) for vzmul, vmzmul

Array that specifies the output vector y.

Description

The v?Mul function performs element by element multiplication of vector a and vector b.

Special values for Real Function v?Mul(x)
Argument 1	Argument 2	Result	Exception
+0	+0	+0
+0	-0	-0
-0	+0	-0
-0	-0	+0
+0	+∞	QNAN	INVALID
+0	-∞	QNAN	INVALID
-0	+∞	QNAN	INVALID
-0	-∞	QNAN	INVALID
+∞	+0	QNAN	INVALID
+∞	-0	QNAN	INVALID
-∞	+0	QNAN	INVALID
-∞	-0	QNAN	INVALID
+∞	+∞	+∞
+∞	-∞	-∞
-∞	+∞	-∞
-∞	-∞	+∞
SNAN	any value	QNAN	INVALID
any value	SNAN	QNAN	INVALID
QNAN	non-SNAN	QNAN
non-SNAN	QNAN	QNAN

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

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

Overflow in a complex function occurs (supported in the HA/LA accuracy modes only) when all RE(x), RE(y), IM(x), IM(y) arguments are finite numbers, but the real or imaginary part of the computed result is so large that it does not fit the target precision. In this case, the function returns ∞ in that part of the result, raises the OVERFLOW exception, and sets the VM Error Status to VML_STATUS_OVERFLOW (overriding any possible VML_STATUS_ACCURACYWARNING status).

Parent topic: Arithmetic Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Mul