Computes natural logarithm of vector elements.
Syntax
call vsln( n, a, y )
call vmsln( n, a, y, mode )
call vdln( n, a, y )
call vmdln( n, a, y, mode )
call vcln( n, a, y )
call vmcln( n, a, y, mode )
call vzln( n, a, y )
call vmzln( 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 vdln, vmdln COMPLEX for vcln, vmcln DOUBLE COMPLEX for vzln, vmzln REAL, INTENT(IN) for vsln, vmsln DOUBLE PRECISION, INTENT(IN) for vdln, vmdln COMPLEX, INTENT(IN) for vcln, vmcln DOUBLE COMPLEX, INTENT(IN) for vzln, vmzln |
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 vdln, vmdln COMPLEX for vcln, vmcln DOUBLE COMPLEX for vzln, vmzln REAL, INTENT(OUT) for vsln, vmsln DOUBLE PRECISION, INTENT(OUT) for vdln, vmdln COMPLEX, INTENT(OUT) for vcln, vmcln DOUBLE COMPLEX, INTENT(OUT) for vzln, vmzln |
Array that specifies the output vector y. |
Description
The v?Ln function computes natural logarithm of vector elements.
| Argument | Result | VM Error Status | Exception |
|---|---|---|---|
| +1 | +0 | ||
| X < +0 | QNAN | VML_STATUS_ERRDOM | INVALID |
| +0 | -∞ | VML_STATUS_SING | ZERODIVIDE |
| -0 | -∞ | VML_STATUS_SING | ZERODIVIDE |
| -∞ | 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 INVALID |
||||
| +i·0 | +∞+i·π | -∞+i·π ZERODIVIDE | -∞+i·0 ZERODIVIDE | +∞+i·0 | QNAN+i·QNAN INVALID |
||
| -i·0 | +∞-i·π | -∞-i·π ZERODIVIDE | -∞-i·0 ZERODIVIDE | +∞-i·0 | QNAN+i·QNAN INVALID |
||
| -i·Y | +∞-i·π | +∞-i·0 | QNAN+i·QNAN INVALID |
||||
| -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 INVALID |
QNAN+i·QNAN INVALID |
QNAN+i·QNAN INVALID |
QNAN+i·QNAN INVALID |
+∞+i·QNAN |
QNAN+i·QNAN INVALID |
Notes:
raises INVALID exception when real or imaginary part of the argument is SNAN