Visible to Intel only — GUID: GUID-2988CEE4-BC3A-4FFA-9AD8-7C3F149304D9
Visible to Intel only — GUID: GUID-2988CEE4-BC3A-4FFA-9AD8-7C3F149304D9
v?Pow
Computes a to the power b for elements of two vectors.
Syntax
call vspow( n, a, b, y )
call vspowi(n, a, inca, b, incb, y, incy)
call vmspow( n, a, b, y, mode )
call vmspowi(n, a, inca, b, incb, y, incy, mode)
call vdpow( n, a, b, y )
call vdpowi(n, a, inca, b, incb, y, incy)
call vmdpow( n, a, b, y, mode )
call vmdpowi(n, a, inca, b, incb, y, incy, mode)
call vcpow( n, a, b, y )
call vcpowi(n, a, inca, b, incb, y, incy)
call vmcpow( n, a, b, y, mode )
call vmcpowi(n, a, inca, b, incb, y, incy, mode)
call vzpow( n, a, b, y )
call vzpowi(n, a, inca, b, incb, y, incy)
call vmzpow( n, a, b, y, mode )
call vmzpowi(n, a, inca, b, incb, 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, b |
DOUBLE PRECISION for vdpow, vmdpow COMPLEX for vcpow, vmcpow DOUBLE COMPLEX for vzpow, vmzpow REAL, INTENT(IN) for vspow, vmspow DOUBLE PRECISION, INTENT(IN) for vdpow, vmdpow COMPLEX, INTENT(IN) for vcpow, vmcpow DOUBLE COMPLEX, INTENT(IN) for vzpow, vmzpow |
Arrays that specify the input vectors a and b. |
inca, incb, incy |
INTEGER, INTENT(IN) |
Specifies increments for the elements of a, b, 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. |
Data Type | Threshold Limitations on Input Parameters |
---|---|
single precision | abs(a[i]) < ( FLT_MAX )1/b[i] |
double precision | abs(a[i]) < ( DBL_MAX )1/b[i] |
Precision overflow thresholds for the complex v?Pow function are beyond the scope of this document.
Output Parameters
Name |
Type |
Description |
---|---|---|
y |
DOUBLE PRECISION for vdpow, vmdpow COMPLEX for vcpow, vmcpow DOUBLE COMPLEX for vzpow, vmzpow REAL, INTENT(OUT) for vspow, vmspow DOUBLE PRECISION, INTENT(OUT) for vdpow, vmdpow COMPLEX, INTENT(OUT) for vcpow, vmcpow DOUBLE COMPLEX, INTENT(OUT) for vzpow, vmzpow |
Array that specifies the output vector y. |
Description
The v?Pow function computes a to the power b for elements of two vectors.
The real function v(s/d)Pow has certain limitations on the input range of a and b parameters. Specifically, if a[i] is positive, then b[i] may be arbitrary. For negative a[i], the value of b[i] must be an integer (either positive or negative).
The complex function v(c/z)Pow has no input range limitations.
Argument 1 (X) |
Argument 2 (Y) |
Result |
VM Error Status |
Exception |
---|---|---|---|---|
+0 | neg. odd integer | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
-0 | neg. odd integer | -∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
+0 | neg. even integer | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
-0 | neg. even integer | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
+0 | neg. non-integer | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
-0 | neg. non-integer | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
-0 | pos. odd integer | +0 | ||
-0 | pos. odd integer | -0 | ||
+0 | pos. even integer | +0 | ||
-0 | pos. even integer | +0 | ||
+0 | pos. non-integer | +0 | ||
-0 | pos. non-integer | +0 | ||
-1 | +∞ | +1 | ||
-1 | -∞ | +1 | ||
+1 | any value | +1 | ||
+1 | +0 | +1 | ||
+1 | -0 | +1 | ||
+1 | +∞ | +1 | ||
+1 | -∞ | +1 | ||
+1 | QNAN | +1 | ||
any value | +0 | +1 | ||
+0 | +0 | +1 | ||
-0 | +0 | +1 | ||
+∞ | +0 | +1 | ||
-∞ | +0 | +1 | ||
QNAN | +0 | +1 | ||
any value | -0 | +1 | ||
+0 | -0 | +1 | ||
-0 | -0 | +1 | ||
+∞ | -0 | +1 | ||
-∞ | -0 | +1 | ||
QNAN | -0 | +1 | ||
X < +0 | non-integer | QNAN | VML_STATUS_ERRDOM | INVALID |
|X| < 1 | -∞ | +∞ | ||
+0 | -∞ | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
-0 | -∞ | +∞ | VML_STATUS_ERRDOM | ZERODIVIDE |
|X| > 1 | -∞ | +0 | ||
+∞ | -∞ | +0 | ||
-∞ | -∞ | +0 | ||
|X| < 1 | +∞ | +0 | ||
+0 | +∞ | +0 | ||
-0 | +∞ | +0 | ||
|X| > 1 | +∞ | +∞ | ||
+∞ | +∞ | +∞ | ||
-∞ | +∞ | +∞ | ||
-∞ | neg. odd integer | -0 | ||
-∞ | neg. even integer | +0 | ||
-∞ | neg. non-integer | +0 | ||
-∞ | pos. odd integer | -∞ | ||
-∞ | pos. even integer | +∞ | ||
-∞ | pos. non-integer | +∞ | ||
+∞ | X < +0 | +0 | ||
+∞ | X > +0 | +∞ | ||
Big finite value* | Big finite value* | +/-∞ | VML_STATUS_OVERFLOW | OVERFLOW |
QNAN | QNAN | QNAN | ||
QNAN | SNAN | QNAN | INVALID | |
SNAN | QNAN | QNAN | INVALID | |
SNAN | SNAN | QNAN | INVALID |
The complex double precision versions of this function, vzPow and vmzPow, are implemented in the EP accuracy mode only. If used in HA or LA mode, vzPow and vmzPow set the VM Error Status to VML_STATUS_ACCURACYWARNING (see the Values of the VM Status table).
* Overflow in a real function is supported only in the HA/LA accuracy modes. The overflow occurs when x and y are finite numbers, but the result is too large to fit the target precision. In this case, the function:
Returns ∞ in the result.
Raises the OVERFLOW exception.
Sets the VM Error Status to VML_STATUS_OVERFLOW.
Overflow in a complex function occurs (supported in the HA/LA accuracy modes only) when all RE(x), RE(y), IM(x), IM(y) arguments are finite numbers, but the real or imaginary part of the computed result is so large that it does not fit the target precision. In this case, the function returns ∞ in that part of the result, raises the OVERFLOW exception, and sets the VM Error Status to VML_STATUS_OVERFLOW (overriding any possible VML_STATUS_ACCURACYWARNING status).