Developer Reference

  • 2020.2
  • 07/15/2020
  • Public Content
Contents

v?Erf

Computes the error function value of vector elements.

Syntax

call vserf
(
n
,
a
,
y
)
call vserfi(n, a, inca, y, incy)
call vmserf
(
n
,
a
,
y
,
mode
)
call vmserfi(n, a, inca, y, incy, mode)
call vderf
(
n
,
a
,
y
)
call vderfi(n, a, inca, y, incy)
call vmderf
(
n
,
a
,
y
,
mode
)
call vmderfi(n, a, inca, 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
DOUBLE PRECISION
for
vderf
,
vmderf
REAL
,
INTENT(IN)
for
vserf
,
vmserf
DOUBLE PRECISION
,
INTENT(IN)
for
vderf
,
vmderf
Array, specifies the input vector
a
.
inca
,
incy
INTEGER, INTENT(IN)
Specifies increments for the elements of
a
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
vderf
,
vmderf
REAL
,
INTENT(OUT)
for
vserf
,
vmserf
DOUBLE PRECISION
,
INTENT(OUT)
for
vderf
,
vmderf
Array, specifies the output vector
y
.
Description
The
Erf
function computes the error function values for elements of the input vector
a
and writes them to the output vector
y
.
The error function is defined as given by:
Equation
Useful relations:
Equation
where
erfc
is the complementary error function.
Equation
where
Equation
is the cumulative normal distribution function.
Equation
where
Φ
-1
(
x
)
and
erf
-1
(
x
)
are the inverses to
Φ
(
x
)
and
erf(
x
)
respectively.
The following figure illustrates the relationships among
Erf
family functions (
Erf
,
Erfc
,
CdfNorm
).