v?Exp

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);

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.

Precision Overflow Thresholds for Real v?Exp Function
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.

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.

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.

The v?Exp function computes an exponential of vector elements.

Special Values for Real Function v?Exp(x)
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.

Special Values for Complex Function v?Exp(z)
RE(z) i·IM(z)	-∞	-X	-0	+0	+X	+∞	NAN
+i·∞	+0+i·0	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	+∞+i·QNAN INVALID	QNAN+i·QNAN INVALID
+i·Y	+0·CIS(Y)					+∞·CIS(Y)	QNAN+i·QNAN
+i·0	+0·CIS(0)		+1+i·0	+1+i·0		+∞+i·0	QNAN+i·0
-i·0	+0·CIS(0)		+1-i·0	+1-i·0		+∞-i·0	QNAN-i·0
-i·Y	+0·CIS(Y)					+∞·CIS(Y)	QNAN+i·QNAN
-i·∞	+0-i·0	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	+∞+i·QNAN INVALID	QNAN+i·QNAN INVALID
+i·NAN	+0+i·0	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	QNAN+i·QNAN INVALID	+∞+i·QNAN	QNAN+i·QNAN

Notes:

raises the INVALID exception when real or imaginary part of the argument is SNAN
raises the INVALID exception on argument z=-∞+i·QNAN
raises the OVERFLOW exception and sets the VM Error Status to VML_STATUS_OVERFLOW in the case of overflow, that is, when both RE(z) and IM(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.