Computes inverse hyperbolic cosine (nonnegative) of vector elements.
Syntax
call vsacosh( n, a, y )
call vmsacosh( n, a, y, mode )
call vdacosh( n, a, y )
call vmdacosh( n, a, y, mode )
call vcacosh( n, a, y )
call vmcacosh( n, a, y, mode )
call vzacosh( n, a, y )
call vmzacosh( n, a, y, mode )
Include Files
- mkl_vml.f90
Input Parameters
Name |
Type |
Description |
|---|---|---|
n |
INTEGER, INTENT(IN) |
Specifies the number of elements to be calculated. |
a |
DOUBLE PRECISION for vdacosh, vmdacosh COMPLEX for vcacosh, vmcacosh DOUBLE COMPLEX for vzacosh, vmzacosh REAL, INTENT(IN) for vsacosh, vmsacosh DOUBLE PRECISION, INTENT(IN) for vdacosh, vmdacosh COMPLEX, INTENT(IN) for vcacosh, vmcacosh DOUBLE COMPLEX, INTENT(IN) for vzacosh, vmzacosh |
Array that specifies the input vector a. |
mode |
INTEGER(KIND=8), INTENT(IN) |
Overrides global VM mode setting for this function call. See vmlSetMode for possible values and their description. |
Output Parameters
Name |
Type |
Description |
|---|---|---|
y |
DOUBLE PRECISION for vdacosh, vmdacosh COMPLEX for vcacosh, vmcacosh DOUBLE COMPLEX for vzacosh, vmzacosh REAL, INTENT(OUT) for vsacosh, vmsacosh DOUBLE PRECISION, INTENT(OUT) for vdacosh, vmdacosh COMPLEX, INTENT(OUT) for vcacosh, vmcacosh DOUBLE COMPLEX, INTENT(OUT) for vzacosh, vmzacosh |
Array that specifies the output vector y. |
Description
The v?Acosh function computes inverse hyperbolic cosine (nonnegative) of vector elements.
| 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.
RE(z) i·IM(z) |
-∞
|
-X
|
-0
|
+0
|
+X
|
+∞
|
NAN
|
|---|---|---|---|---|---|---|---|
| +i·∞ |  |
+∞+i·π/2 | +∞+i·π/2 | +∞+i·π/2 | +∞+i·π/2 | +∞+i·π/4 | +∞+i·QNAN |
| +i·Y | +∞+i·π | +∞+i·0 | QNAN+i·QNAN |
||||
| +i·0 | +∞+i·π | +0+i·π/2 | +0+i·π/2 | +∞+i·0 | QNAN+i·QNAN |
||
| -i·0 | +∞+i·π | +0+i·π/2 | +0+i·π/2 | +∞+i·0 | QNAN+i·QNAN |
||
| -i·Y | +∞+i·π | +∞+i·0 | QNAN+i·QNAN |
||||
| -i·∞ |  |
+∞-i·π/2 | +∞-i·π/2 | +∞-i·π/2 | +∞-i·π/2 | +∞-i·π/4 | +∞+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 INVALID exception when real or imaginary part of the argument is SNAN
Acosh(CONJ(z))=CONJ(Acosh(z)).