Contents

v?Atanh

Computes inverse hyperbolic tangent of vector elements.

Syntax

vsAtanh
(
n
,
a
,
y
)
;
vmsAtanh
(
n
,
a
,
y
,
mode
)
;
vdAtanh
(
n
,
a
,
y
)
;
vmdAtanh
(
n
,
a
,
y
,
mode
)
;
vcAtanh
(
n
,
a
,
y
)
;
vmcAtanh
(
n
,
a
,
y
,
mode
)
;
vzAtanh
(
n
,
a
,
y
)
;
vmzAtanh
(
n
,
a
,
y
,
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
vsAtanh
,
vmsAtanh
const double*
for
vdAtanh
,
vmdAtanh
const MKL_Complex8*
for
vcAtanh
,
vmcAtanh
const MKL_Complex16*
for
vzAtanh
,
vmzAtanh
Pointer to an array that contains the input vector
a
.
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
vsAtanh
,
vmsAtanh
double*
for
vdAtanh
,
vmdAtanh
MKL_Complex8*
for
vcAtanh
,
vmcAtanh
MKL_Complex16*
for
vzAtanh
,
vmzAtanh
Pointer to an array that contains the output vector
y
.
Description
The
v?Atanh
function computes inverse hyperbolic tangent of vector elements.
Special Values for Real Function
v?Atanh(x)
Argument
Result
VM Error Status
Exception
+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
See Special Value Notations for the conventions used in the table below.
Special Values for Complex Function
v?Atanh(z)
RE(z)
i
·
IM(z)
-
 
-X
 
-0
 
+0
 
+X
 
+
 
NAN
 
+i
·
-0+i
·
π
/2
-0+i
·
π
/2
-0+i
·
π
/2
+0+i
·
π
/2
+0+i
·
π
/2
+0+i
·
π
/2
+0+i
·
π
/2
+i
·
Y
-0+i
·
π
/2
+0+i
·
π
/2
QNAN+i
·
QNAN
+i
·
0
-0+i
·
π
/2
-0+i
·
0
+0+i
·
0
+0+i
·
π
/2
QNAN+i
·
QNAN
-i
·
0
-0-i
·
π
/2
-0-i
·
0
+0-i
·
0
+0-i
·
π
/2
QNAN-i
·
QNAN
-i
·
Y
-0-i
·
π
/2
+0-i
·
π
/2
QNAN+i
·
QNAN
-i
·
-0-i
·
π
/2
-0-i
·
π
/2
-0-i
·
π
/2
+0-i
·
π
/2
+0-i
·
π
/2
+0-i
·
π
/2
+0-i
·
π
/2
+i
·
NAN
-0+i
·
QNAN
QNAN+i
·
QNAN
-0+i
·
QNAN
+0+i
·
QNAN
QNAN+i
·
QNAN
+0+i
·
QNAN
QNAN+i
·
QNAN
Notes:
  • Atanh(+-1+-i*0)=+-
    +-i*0
    , and
    ZERODIVIDE
    exception is raised
  • raises
    INVALID
    exception when real or imaginary part of the argument is
    SNAN
  • Atanh(CONJ(z))=CONJ(Atanh(z))
  • Atanh(-z)=-Atanh(z)
    .

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