v?Exp
v?Exp
Computes an exponential of vector elements.
Syntax
vsExp
(
n
,
a
,
y
)
;
vsExpI(n, a, inca, y, incy);
vmsExp
(
n
,
a
,
y
,
mode
)
;
vmsExpI(n, a, inca, y, incy, mode);
vdExp
(
n
,
a
,
y
)
;
vdExpI(n, a, inca, y, incy);
vmdExp
(
n
,
a
,
y
,
mode
)
;
vmdExpI(n, a, inca, y, incy, mode);
vcExp
(
n
,
a
,
y
)
;
vcExpI(n, a, inca, y, incy);
vmcExp
(
n
,
a
,
y
,
mode
)
;
vmcExpI(n, a, inca, y, incy, mode);
vzExp
(
n
,
a
,
y
)
;
vzExpI(n, a, inca, y, incy);
vmzExp
(
n
,
a
,
y
,
mode
)
;
vmzExpI(n, a, inca, y, incy, mode);
Include Files
- mkl.h
Input Parameters
Name | Type | Description |
---|---|---|
n | const MKL_INT | Specifies the number of elements to be calculated. |
a | const float* for vsExp , vmsExp const double* for vdExp , vmdExp const MKL_Complex8* for vcExp , vmcExp const MKL_Complex16* for vzExp , vmzExp | Pointer to an array that contains the input vector a . |
inca , incy | const MKL_INT | Specifies increments for the elements of a and y . |
mode | const MKL_INT64 | 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 | a [i] < Ln( FLT_MAX ) |
double precision | a [i] < Ln( DBL_MAX ) |
Precision overflow thresholds for the complex
v?Exp
function are beyond the scope of this document.Output Parameters
Name | Type | Description |
---|---|---|
y | float* for vsExp , vmsExp double* for vdExp , vmdExp MKL_Complex8* for vcExp , vmcExp MKL_Complex16* for vzExp , vmzExp | Pointer to an array that contains the output vector y . |
Description
The
v?Exp
function computes an exponential of vector elements.Argument | Result | VM Error Status | Exception |
---|---|---|---|
+0 | +1 | ||
-0 | +1 | ||
X > overflow | + ∞ | VML_STATUS_OVERFLOW | OVERFLOW |
X < underflow | +0 | VML_STATUS_UNDERFLOW | UNDERFLOW |
+ ∞ | + ∞ | ||
- ∞ | +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 · ∞ | +0+i · 0 | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | + ∞ +i· QNANINVALID | QNAN+i · QNANINVALID |
+i · Y | +0 · | + ∞ · | QNAN+i · QNAN | ||||
+i · 0 | +0 · | +1+i · 0 | +1+i · 0 | + ∞ +i· 0 | QNAN+i · 0 | ||
-i · 0 | +0 · | +1-i · 0 | +1-i · 0 | + ∞ -i· 0 | QNAN-i · 0 | ||
-i · Y | +0 · | + ∞ · | QNAN+i · QNAN | ||||
-i · ∞ | +0-i · 0 | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | + ∞ +i· QNANINVALID | QNAN+i · QNANINVALID |
+i · NAN | +0+i · 0 | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | QNAN+i · QNANINVALID | + ∞ +i· QNAN | QNAN+i · QNAN |
Notes:
- raises theINVALIDexception when real or imaginary part of the argument isSNAN
- raises theINVALIDexception on argumentz=-∞+i·QNAN
- raises theOVERFLOWexception and sets the VM Error Status toVML_STATUS_OVERFLOWin the case of overflow, that is, when bothRE(z)andIM(z)are finite non-zero numbers, but the real or imaginary part of the exact result is so large that it does not meet the target precision.