Visible to Intel only — GUID: GUID-7B52C0D9-FC45-4C20-801C-2974287F6BFA
Visible to Intel only — GUID: GUID-7B52C0D9-FC45-4C20-801C-2974287F6BFA
v?Acosh
Computes inverse hyperbolic cosine (nonnegative) of vector elements.
Syntax
call vsacosh( n, a, y )
call vsacoshi(n, a, inca, y, incy)
call vmsacosh( n, a, y, mode )
call vmsacoshi(n, a, inca, y, incy, mode)
call vdacosh( n, a, y )
call vdacoshi(n, a, inca, y, incy)
call vmdacosh( n, a, y, mode )
call vmdacoshi(n, a, inca, y, incy, mode)
call vcacosh( n, a, y )
call vcacoshi(n, a, inca, y, incy)
call vmcacosh( n, a, y, mode )
call vmcacoshi(n, a, inca, y, incy, mode)
call vzacosh( n, a, y )
call vzacoshi(n, a, inca, y, incy)
call vmzacosh( n, a, y, mode )
call vmzacoshi(n, a, inca, y, incy, 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. |
inca, incy |
INTEGER, INTENT(IN) |
Specifies increments for the elements of a and y. |
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)).