v?Add

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

Version

Public

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v?Add

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

Syntax

call vsadd( n, a, b, y )

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

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

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

call vdadd( n, a, b, y )

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

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

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

call vcadd( n, a, b, y )

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

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

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

call vzadd( n, a, b, y )

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

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

call vmzaddi(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 vdadd, vmdadd COMPLEX for vcadd, vmcadd DOUBLE COMPLEX for vzadd, vmzadd REAL, INTENT(IN) for vsAdd, vmsAdd DOUBLE PRECISION, INTENT(IN) for vdadd, vmdadd COMPLEX, INTENT(IN) for vcadd, vmcadd DOUBLE COMPLEX, INTENT(IN) for vzadd, vmzadd	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 vdadd, vmdadd COMPLEX, for vcadd, vmcadd DOUBLE COMPLEX for vzadd, vmzadd REAL, INTENT(OUT) for vsAdd, vmsAdd DOUBLE PRECISION, INTENT(OUT) for vdadd, vmdadd COMPLEX, INTENT(OUT) for vcadd, vmcadd DOUBLE COMPLEX, INTENT(OUT) for vzadd, vmzadd	Array that specifies the output vector y.

Name

Type

Description

DOUBLE PRECISION for vdadd, vmdadd

COMPLEX, for vcadd, vmcadd

DOUBLE COMPLEX for vzadd, vmzadd

REAL, INTENT(OUT) for vsAdd, vmsAdd

DOUBLE PRECISION, INTENT(OUT) for vdadd, vmdadd

COMPLEX, INTENT(OUT) for vcadd, vmcadd

DOUBLE COMPLEX, INTENT(OUT) for vzadd, vmzadd

Array that specifies the output vector y.

Description

The v?Add function performs element by element addition of vector a and vector b.

Special values for Real Function v?Add
Argument 1	Argument 2	Result	Exception
+0	+0	+0
+0	-0	+0
-0	+0	+0
-0	-0	-0
+∞	+∞	+∞
+∞	-∞	QNAN	INVALID
-∞	+∞	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

Add(x1+i*y1,x2+i*y2) = (x1+x2) + i*(y1+y2)

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?Add