Visible to Intel only — GUID: GUID-605BAA0C-E153-43C2-A97C-F4DC4CCEB821
Visible to Intel only — GUID: GUID-605BAA0C-E153-43C2-A97C-F4DC4CCEB821
v?Asinh
Computes inverse hyperbolic sine of vector elements.
Syntax
call vsasinh( n, a, y )
call vsasinhi(n, a, inca, y, incy)
call vmsasinh( n, a, y, mode )
call vmsasinhi(n, a, inca, y, incy, mode)
call vdasinh( n, a, y )
call vdasinhi(n, a, inca, y, incy)
call vmdasinh( n, a, y, mode )
call vmdasinhi(n, a, inca, y, incy, mode)
call vcasinh( n, a, y )
call vcasinhi(n, a, inca, y, incy)
call vmcasinh( n, a, y, mode )
call vmcasinhi(n, a, inca, y, incy, mode)
call vzasinh( n, a, y )
call vzasinhi(n, a, inca, y, incy)
call vmzasinh( n, a, y, mode )
call vmzasinhi(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 vdasinh, vmdasinh COMPLEX for vcasinh, vmcasinh DOUBLE COMPLEX for vzasinh, vmzasinh REAL, INTENT(IN) for vsasinh, vmsasinh DOUBLE PRECISION, INTENT(IN) for vdasinh, vmdasinh COMPLEX, INTENT(IN) for vcasinh, vmcasinh DOUBLE COMPLEX, INTENT(IN) for vzasinh, vmzasinh |
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 vdasinh, vmdasinh COMPLEX for vcasinh, vmcasinh DOUBLE COMPLEX for vzasinh, vmzasinh REAL, INTENT(OUT) for vsasinh, vmsasinh DOUBLE PRECISION, INTENT(OUT) for vdasinh, vmdasinh COMPLEX, INTENT(OUT) for vcasinh, vmcasinh DOUBLE COMPLEX, INTENT(OUT) for vzasinh, vmzasinh |
Array that specifies the output vector y. |
Description
The v?Asinh function computes inverse hyperbolic sine of vector elements.
Argument | Result | Exception |
---|---|---|
+0 | +0 | |
-0 | -0 | |
+∞ | +∞ | |
-∞ | -∞ | |
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/4 | -∞+i·π/2 | +∞+i·π/2 | +∞+i·π/2 | +∞+i·π/2 | +∞+i·π/4 | +∞+i·QNAN |
+i·Y | -∞+i·0 | +∞+i·0 | QNAN+i·QNAN |
||||
+i·0 | +∞+i·0 | +0+i·0 | +0+i·0 | +∞+i·0 | QNAN+i·QNAN |
||
-i·0 | -∞-i·0 | -0-i·0 | +0-i·0 | +∞-i·0 | QNAN-i·QNAN |
||
-i·Y | -∞-i·0 | +∞-i·0 | QNAN+i·QNAN |
||||
-i·∞ | -∞-i·π/4 | -∞-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
Asinh(CONJ(z))=CONJ(Asinh(z))
Asinh(-z)=-Asinh(z).