Developer Reference

  • 2021.1
  • 12/04/2020
  • Public Content
Contents

v?ErfInv

Computes inverse error function value of vector elements.

Syntax

vsErfInv
(
n
,
a
,
y
)
;
vsErfInvI(n, a, inca, y, incy);
vmsErfInv
(
n
,
a
,
y
,
mode
)
;
vmsErfInvI(n, a, inca, y, incy, mode);
vdErfInv
(
n
,
a
,
y
)
;
vdErfInvI(n, a, inca, y, incy);
vmdErfInv
(
n
,
a
,
y
,
mode
)
;
vmdErfInvI(n, a, inca, y, incy, mode);
Include Files
  • mkl.h
Input Parameters
Name
Type
Description
n
const MKL_INT
Specifies the number of elements to be calculated.
a
const float*
for
vsErfInv
,
vmsErfInv
const double*
for
vdErfInv
,
vmdErfInv
Pointer to an array that contains the input vector
a
.
inca
,
incy
const MKL_INT
Specifies increments for the elements of
a
and
y
.
mode
const MKL_INT64
Overrides global VM mode setting for this function call. See
vmlSetMode
for possible values and their description.
Output Parameters
Name
Type
Description
y
float*
for
vsErfInv
,
vmsErfInv
double*
for
vdErfInv
,
vmdErfInv
Pointer to an array that contains the output vector
y
.
Description
The
ErfInv
function computes the inverse error function values for elements of the input vector
a
and writes them to the output vector
y
y
=
erf
-1
(
a
)
,
where
erf
(
x
)
is the error function 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.
Figure
"ErfInv Family Functions Relationship"
illustrates the relationships among
ErfInv
family functions (
ErfInv
,
ErfcInv
,
CdfNormInv
).
ErfInv Family Functions Relationship
Sparse Matrices That Can be Solved With PARDISO
Useful relations for these functions:
Equation
Sparse Matrices That Can be Solved With PARDISO
Special Values for Real Function
v?ErfInv(x)
Argument
Result
VM Error Status
Exception
+0
+0
 
 
-0
-0
 
 
+1
+
VML_STATUS_SING
ZERODIVIDE
-1
-
VML_STATUS_SING
ZERODIVIDE
|X| > 1
QNAN
VML_STATUS_ERRDOM
INVALID
+
QNAN
VML_STATUS_ERRDOM
INVALID
-
QNAN
VML_STATUS_ERRDOM
INVALID
QNAN
QNAN
 
 
SNAN
QNAN
 
INVALID

Product and Performance Information

1

Performance varies by use, configuration and other factors. Learn more at www.Intel.com/PerformanceIndex.