Computes inverse hyperbolic sine of vector elements.
FORTRAN:
call vsasinh( n, a, y )
call vmsasinh( n, a, y, mode )
call vdasinh( n, a, y )
call vmdasinh( n, a, y, mode )
call vcasinh( n, a, y )
call vmcasinh( n, a, y, mode )
call vzasinh( n, a, y )
call vmzasinh( n, a, y, mode )
C:
vsAsinh( n, a, y );
vmsAsinh( n, a, y, mode );
vdAsinh( n, a, y );
vmdAsinh( n, a, y, mode );
vcAsinh( n, a, y );
vmcAsinh( n, a, y, mode );
vzAsinh( n, a, y );
vmzAsinh( n, a, y, mode );
Name |
Type |
Description |
|---|---|---|
n |
FORTRAN 77: INTEGER Fortran 90: INTEGER, INTENT(IN) C: const int |
Specifies the number of elements to be calculated. |
a |
FORTRAN 77: REAL for vsasinh, vmsasinh DOUBLE PRECISION for vdasinh, vmdasinh COMPLEX for vcasinh, vmcasinh DOUBLE COMPLEX for vzasinh, vmzasinh Fortran 90: 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 C: const float* for vsAsinh, vmsAsinh const double* for vdAsinh, vmdAsinh const MKL_Complex8* for vcAsinh, vmcAsinh const MKL_Complex16* for vzAsinh, vmzAsinh |
FORTRAN: Array that specifies the input vector a. C: Pointer to an array that contains the input vector a. |
mode |
FORTRAN 77: INTEGER*8 Fortran 90: INTEGER(KIND=8), INTENT(IN) C: const MKL_INT64 |
Overrides global VML mode setting for this function call. See vmlSetMode for possible values and their description. |
Name |
Type |
Description |
|---|---|---|
y |
FORTRAN 77: REAL for vsasinh, vmsasinh DOUBLE PRECISION for vdasinh, vmdasinh COMPLEX for vcasinh, vmcasinh DOUBLE COMPLEX for vzasinh, vmzasinh Fortran 90: 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 C: float* for vsAsinh, vmsAsinh double* for vdAsinh, vmdAsinh MKL_Complex8* for vcAsinh, vmcAsinh MKL_Complex16* for vzAsinh, vmzAsinh |
FORTRAN: Array that specifies the output vector y. C: Pointer to an array that contains the output vector y. |
The v?Asinh function computes inverse hyperbolic sine of vector elements.
| Argument | Result | Exception |
|---|---|---|
| +0 | +0 | |
| -0 | -0 | |
| +∞ | +∞ | |
| -∞ | -∞ | |
| QNAN | QNAN | |
| SNAN | QNAN | INVALID |
SeeSpecial 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).