v?Fmod

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 3/31/2023

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v?Fmod

The v?Fmod function performs element by element computation of the modulus function of vector a with respect to vector b.

Syntax

call vsfmod (n, a, b, y )

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

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

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

call vdfmod (n, a, b, y )

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

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

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

Include Files

mkl_vml.f90

Input Parameters

Name	Type	Description
`n`	INTEGER	Specifies the number of elements to be calculated.
`a, b`	REAL for vsFmod REAL for vmsFmod DOUBLE PRECISION for vdFmod DOUBLE PRECISION for vmdFmod	Pointers to arrays containing 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)	Overrides the global VM mode setting for this function call. See vmlSetMode for possible values and their description.

Output Parameters

Name	Type	Description
`y`	REAL for vsFmod REAL for vmsFmod DOUBLE PRECISION for vdFmod DOUBLE PRECISION for vmdFmod	Pointer to an array containing the output vector `y`.

Name

Type

Description

y

REAL for vsFmod

REAL for vmsFmod

DOUBLE PRECISION for vdFmod

DOUBLE PRECISION for vmdFmod

Pointer to an array containing the output vector y.

Description

The v?Fmod function computes the modulus function of each element of vector a, with respect to the corresponding elements of vector b:

a_i - b_i*trunc(a_i/b_i)

In general, the modulus function fmod (a_i, b_i) returns the value a_i - n*b_i for some integer n such that if b_i is nonzero, the result has the same sign as a_i and a magnitude less than the magnitude of b_i.

Special values for Real Function v?Fmod(x, y)
Argument 1	Argument 2	Result	VM Error Status	Exception
`x` not NAN	±0	NAN	VML_STATUS_SING	INVALID
±∞	`y` not NAN	NAN	VML_STATUS_SING	INVALID
±0	`y`≠ 0, not NAN	±0
`x` finite	±∞	`x`		UNDERFLOW if `x` is subnormal
NAN	`y`	NAN
`x`	NAN	NAN

NOTE:

If element i in the result of v?Fmod is 0, its sign is that of a_i.

Parent topic: Arithmetic Functions

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

v?Fmod

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