Developer Reference for Intel® oneAPI Math Kernel Library for C
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v?Acosh
vsAcosh vdAcosh vcAcosh vzAcosh vmsAcosh vmdAcosh vmcAcosh vmzAcosh Computes inverse hyperbolic cosine (nonnegative) of vector elements.
Syntax
vhAcosh ( n , a , y ) ;
vhAcoshI(n, a, inca, y, incy);
vmhAcosh ( n , a , y , mode ) ;
vmhAcoshI(n, a, inca, y, incy, mode);
vsAcosh ( n , a , y ) ;
vsAcoshI(n, a, inca, y, incy);
vmsAcosh ( n , a , y , mode ) ;
vmsAcoshI(n, a, inca, y, incy, mode);
vdAcosh ( n , a , y ) ;
vdAcoshI(n, a, inca, y, incy);
vmdAcosh ( n , a , y , mode ) ;
vmdAcoshI(n, a, inca, y, incy, mode);
vcAcosh ( n , a , y ) ;
vcAcoshI(n, a, inca, y, incy);
vmcAcosh ( n , a , y , mode ) ;
vmcAcoshI(n, a, inca, y, incy, mode);
vzAcosh ( n , a , y ) ;
vzAcoshI(n, a, inca, y, incy);
vmzAcosh ( n , a , y , mode ) ;
vmzAcoshI(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 _Float16* for vhAcosh , vmhAcosh const float* for vsAcosh , vmsAcosh const double* for vdAcosh , vmdAcosh const MKL_Complex8* for vcAcosh , vmcAcosh const MKL_Complex16* for vzAcosh , vmzAcosh |
Pointer to an array that contains the input vector a . |
inca , incy |
cnst 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 (Sets a new mode for VM functions according to the mode parameter and stores the previous VM mode to oldmode.) for possible values and their description. |
Output Parameters
Name |
Type |
Description |
|---|---|---|
y |
_Float16* for vhAcosh , vmhAcosh float* for vsAcosh , vmsAcosh double* for vdAcosh , vmdAcosh MKL_Complex8* for vcAcosh , vmcAcosh MKL_Complex16* for vzAcosh , vmzAcosh |
Pointer to an array that contains the output vector y . |
Description
The v?Acosh function computes inverse hyperbolic cosine (nonnegative) of vector elements.
Special Values for Real Function v?Acosh(x)
Argument |
Result |
VM Error Status |
Exception |
|---|---|---|---|
+1 |
+0 |
||
X < +1 |
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?Acosh(z)
RE(z) i · IM(z) |
|
-X |
-0 |
+0 |
+X |
|
NAN |
|---|---|---|---|---|---|---|---|
+i · ∞ |
 |
|
|
|
|
|
|
+i · Y |
|
|
QNAN+i · QNAN |
||||
+i · 0 |
|
+0+i · π /2 |
+0+i · π /2 |
|
QNAN+i · QNAN |
||
-i · 0 |
|
+0+i · π /2 |
+0+i · π /2 |
|
QNAN+i · QNAN |
||
-i · Y |
|
|
QNAN+i · QNAN |
||||
-i · ∞ |
 |
|
|
|
|
|
|
+i · NAN |
|
QNAN+i · QNAN |
QNAN+i · QNAN |
QNAN+i · QNAN |
QNAN+i · QNAN |
|
QNAN+i · QNAN |
Notes:
raises INVALID exception when real or imaginary part of the argument is SNAN
\(Acosh(CONJ(z))=CONJ(Acosh(z))\) .