Developer Reference for Intel® oneAPI Math Kernel Library for Fortran
v?Acos
vsAcos vdAcos vcAcos vzAcos vmsAcos vmdAcos vmcAcos vmzAcos Computes inverse cosine of vector elements.
Syntax
call vsacos ( n , a , y )
call vsacosi(n, a, inca, y, incy)
call vmsacos ( n , a , y , mode )
call vmsacosi(n, a, inca, y, incy, mode)
call vdacos ( n , a , y )
call vdacosi(n, a, inca, y, incy)
call vmdacos ( n , a , y , mode )
call vmdacosi(n, a, inca, y, incy, mode)
call vcacos ( n , a , y )
call vcacosi(n, a, inca, y, incy)
call vmcacos ( n , a , y , mode )
call vmcacosi(n, a, inca, y, incy, mode)
call vzacos ( n , a , y )
call vzacosi(n, a, inca, y, incy)
call vmzacos ( n , a , y , mode )
call vmzacosi(n, a, inca, y, incy, mode)
Include Files
mkl_vml.f90
Input Parameters
Name |
Type |
Description |
|---|---|---|
n |
Specifies the number of elements to be calculated. |
|
a |
Fortran 77: DOUBLE PRECISION for vdacos , vmdacosFortran 77: COMPLEX for vcacos , vmcacosFortran 77: DOUBLE COMPLEX for vzacos , vmzacosFortran 90: REAL , INTENT(IN) for vsacos , vmsacosFortran 90: DOUBLE PRECISION , INTENT(IN) for vdacos , vmdacosFortran 90: COMPLEX , INTENT(IN) for vcacos , vmcacosFortran 90: DOUBLE COMPLEX , INTENT(IN) for vzacos , vmzacos |
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 (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 |
Fortran 77: DOUBLE PRECISION for vdacos , vmdacosFortran 77: COMPLEX for vcacos , vmcacosFortran 77: DOUBLE COMPLEX for vzacos , vmzacosFortran 90: REAL , INTENT(OUT) for vsacos , vmsacosFortran 90: DOUBLE PRECISION , INTENT(OUT) for vdacos , vmdacosFortran 90: COMPLEX , INTENT(OUT) for vcacos , vmcacosFortran 90: DOUBLE COMPLEX , INTENT(OUT) for vzacos , vmzacos |
Array that specifies the output vector y . |
Description
The v?Acos function computes inverse cosine of vector elements.
Special Values for Real Function v?Acos(x)
Argument |
Result |
VM Error Status |
Exception |
|---|---|---|---|
+0 |
|
||
-0 |
|
||
+1 |
+0 |
||
-1 |
|
||
\(|X| > 1\) |
QNAN |
VML_STATUS_ERRDOM |
INVALID |
|
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?Acos(z)
RE(z) i · IM(z) |
|
-X |
-0 |
+0 |
+X |
|
NAN |
|---|---|---|---|---|---|---|---|
+i · ∞ |
+3 · π /4-i · ∞ |
|
|
|
|
|
QNAN-i · ∞ |
+i · Y |
|
+0-i · ∞ |
QNAN+i · QNAN |
||||
+i · 0 |
|
|
|
+0-i · ∞ |
QNAN+i · QNAN |
||
-i · 0 |
|
|
|
+0+i · ∞ |
QNAN+i · QNAN |
||
-i · Y |
|
+0+i · ∞ |
QNAN+i · QNAN |
||||
-i · ∞ |
+3 π /4+i · ∞ |
|
|
|
|
|
QNAN+i · ∞ |
+i · NAN |
QNAN+i · ∞ |
QNAN+i · QNAN |
|
|
QNAN+i · QNAN |
QNAN+i · ∞ |
QNAN+i · QNAN |
Notes:
raises INVALID exception when real or imaginary part of the argument is SNAN
\(Acos(CONJ(z))=CONJ(Acos(z))\) .