Developer Reference

  • 0.9
  • 09/09/2020
  • 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

Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. These optimizations include SSE2, SSE3, and SSSE3 instruction sets and other optimizations. Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. Microprocessor-dependent optimizations in this product are intended for use with Intel microprocessors. Certain optimizations not specific to Intel microarchitecture are reserved for Intel microprocessors. Please refer to the applicable product User and Reference Guides for more information regarding the specific instruction sets covered by this notice.

Notice revision #20110804