Developer Reference for Intel® oneAPI Math Kernel Library - C

Developer Reference

  • 0.9
  • 09/09/2020
  • Public Content
Contents

v?Cosh

Computes hyperbolic cosine of vector elements.

Syntax

vsCosh
(
n
,
a
,
y
)
;
vsCoshI(n, a, inca, y, incy);
vmsCosh
(
n
,
a
,
y
,
mode
)
;
vmsCoshI(n, a, inca, y, incy, mode);
vdCosh
(
n
,
a
,
y
)
;
vdCoshI(n, a, inca, y, incy);
vmdCosh
(
n
,
a
,
y
,
mode
)
;
vmdCoshI(n, a, inca, y, incy, mode);
vcCosh
(
n
,
a
,
y
)
;
vcCoshI(n, a, inca, y, incy);
vmcCosh
(
n
,
a
,
y
,
mode
)
;
vmcCoshI(n, a, inca, y, incy, mode);
vzCosh
(
n
,
a
,
y
)
;
vzCoshI(n, a, inca, y, incy);
vmzCosh
(
n
,
a
,
y
,
mode
)
;
vmzCoshI(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
vsCosh
,
vmsCosh
const double*
 for
vdCosh
,
vmdCosh
const MKL_Complex8*
 for
vcCosh
,
vmcCosh
const MKL_Complex16*
 for
vzCosh
,
vmzCosh
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.
Precision Overflow Thresholds for Real
v?Cosh
 Function
Data Type
Threshold Limitations on Input Parameters
single precision
-Ln(FLT_MAX)-Ln2 <
a
[i] < Ln(FLT_MAX)+Ln2
double precision
-Ln(DBL_MAX)-Ln2 <
a
[i] < Ln(DBL_MAX)+Ln2
Precision overflow thresholds for the complex
v?Cosh
 function are beyond the scope of this document.
Output Parameters
Name
Type
Description
y
float*
 for
vsCosh
,
vmsCosh
double*
 for
vdCosh
,
vmdCosh
MKL_Complex8*
 for
vcCosh
,
vmcCosh
MKL_Complex16*
 for
vzCosh
,
vmzCosh
Pointer to an array that contains the output vector
y
.
Description
The
v?Cosh
 function computes hyperbolic cosine of vector elements.
Special Values for Real Function
v?Cosh(x)
Argument
Result
VM Error Status
Exception
+0
+1
 
 
-0
+1
 
 
X > overflow
+
∞
VML_STATUS_OVERFLOW
OVERFLOW
X < -overflow
+
∞
VML_STATUS_OVERFLOW
OVERFLOW
+
∞
+
∞
 
 
-
∞
+
∞
 
 
QNAN
QNAN
 
 
SNAN
QNAN
 
INVALID
See Special Value Notations for the conventions used in the table below.
Special Values for Complex Function
v?Cosh(z)
RE(z)
i
·
IM(z)
-
∞
 
-X
 
-0
 
+0
 
+X
 
+
∞
 
NAN
 
+i
·
∞
+
∞
+i
·
QNAN
INVALID
QNAN+i
·
QNAN
INVALID
QNAN-i
·
0
INVALID
QNAN+i
·
0
INVALID
QNAN+i
·
QNAN
INVALID
+
∞
+i
·
QNAN
INVALID
QNAN+i
·
QNAN
+i
·
Y
+
∞
·
Cos(Y)- i
·
∞
·
Sin(Y)
+
∞
·
CIS(Y)
QNAN+i
·
QNAN
+i
·
0
+
∞
-i
·
0
+1-i
·
0
+1+i
·
0
+
∞
+i
·
0
QNAN+i
·
0
-i
·
0
+
∞
+i
·
0
+1+i
·
0
+1-i
·
0
+
∞
-i
·
0
QNAN-i
·
0
-i
·
Y
+
∞
·
Cos(Y)- i
·
∞
·
Sin(Y)
+
∞
·
CIS(Y)
QNAN+i
·
QNAN
-i
·
∞
+
∞
+i
·
QNAN
INVALID
QNAN+i
·
QNAN
INVALID
QNAN+i
·
0
INVALID
QNAN-i
·
0
INVALID
QNAN+i
·
QNAN
INVALID
+
∞
+i
·
QNAN
INVALID
QNAN+i
·
QNAN
+i
·
NAN
+
∞
+i
·
QNAN
QNAN+i
·
QNAN
QNAN+i
·
QNAN
QNAN-i
·
QNAN
QNAN+i
·
QNAN
+
∞
+i
·
QNAN
QNAN+i
·
QNAN
Notes:
  • raises the
    INVALID
     exception when the real or imaginary part of the argument is
    SNAN
  • raises the
    OVERFLOW
     exception and sets the VM Error Status to
    VML_STATUS_OVERFLOW
     in the case of overflow, that is, when
    RE(z)
    ,
    IM(z)
     are finite non-zero numbers, but the real or imaginary part of the exact result is so large that it does not meet the target precision.
  • Cosh(CONJ(z))=CONJ(Cosh(z))
  • Cosh(-z)=Cosh(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