v?Exp

Syntax

FORTRAN:

call vsexp( n, a, y )

call vmsexp( n, a, y, mode )

call vdexp( n, a, y )

call vmdexp( n, a, y, mode )

call vcexp( n, a, y )

call vmcexp( n, a, y, mode )

call vzexp( n, a, y )

call vmzexp( n, a, y, mode )

C:

vsExp( n, a, y );

vmsExp( n, a, y, mode );

vdExp( n, a, y );

vmdExp( n, a, y, mode );

vcExp( n, a, y );

vmcExp( n, a, y, mode );

vzExp( n, a, y );

vmzExp( n, a, y, mode );

Include Files

FORTRAN 77: mkl_vml.f77
Fortran 90: mkl_vml.f90
C: mkl_vml_functions.h

Input Parameters

Name	Type	Description
n	FORTRAN 77: INTEGER Fortran 90: INTEGER, INTENT(IN) C: const int	Specifies the number of elements to be calculated.
a	FORTRAN 77: REAL for vsexp, vmsexp DOUBLE PRECISION for vdexp, vmdexp COMPLEX for vcexp, vmcexp DOUBLE COMPLEX for vzexp, vmzexp Fortran 90: REAL, INTENT(IN) for vsexp, vmsexp DOUBLE PRECISION, INTENT(IN) for vdexp, vmdexp COMPLEX, INTENT(IN) for vcexp, vmcexp DOUBLE COMPLEX, INTENT(IN) for vzexp, vmzexp C: const float* for vsExp, vmsExp const double* for vdExp, vmdExp const MKL_Complex8* for vcExp, vmcExp const MKL_Complex16* for vzExp, vmzExp	FORTRAN: Array, specifies the input vector a. C: Pointer to an array that contains the input vector a.
mode	FORTRAN 77: INTEGER8 Fortran 90:* INTEGER(KIND=8), INTENT(IN) C: const MKL_INT64	Overrides global VML mode setting for this function call. See vmlSetMode for possible values and their description.

Name

Type

Description

n

FORTRAN 77: INTEGER

Fortran 90: INTEGER, INTENT(IN)

C: const int

Specifies the number of elements to be calculated.

a

FORTRAN 77: REAL for vsexp, vmsexp

DOUBLE PRECISION for vdexp, vmdexp

COMPLEX for vcexp, vmcexp

DOUBLE COMPLEX for vzexp, vmzexp

Fortran 90: REAL, INTENT(IN) for vsexp, vmsexp

DOUBLE PRECISION, INTENT(IN) for vdexp, vmdexp

COMPLEX, INTENT(IN) for vcexp, vmcexp

DOUBLE COMPLEX, INTENT(IN) for vzexp, vmzexp

C: const float* for vsExp, vmsExp

const double* for vdExp, vmdExp

const MKL_Complex8* for vcExp, vmcExp

const MKL_Complex16* for vzExp, vmzExp

FORTRAN: Array, specifies the input vector a.

C: Pointer to an array that contains the input vector a.

mode

FORTRAN 77: INTEGER*8

Fortran 90: INTEGER(KIND=8), INTENT(IN)

C: const MKL_INT64

Overrides global VML 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.

Output Parameters

Name	Type	Description
y	FORTRAN 77: REAL for vsexp, vmsexp DOUBLE PRECISION for vdexp, vmdexp COMPLEX for vcexp, vmcexp DOUBLE COMPLEX for vzexp, vmzexp Fortran 90: REAL, INTENT(OUT) for vsexp, vmsexp DOUBLE PRECISION, INTENT(OUT) for vdexp, vmdexp COMPLEX, INTENT(OUT) for vcexp, vmcexp DOUBLE COMPLEX, INTENT(OUT) for vzexp, vmzexp C: float* for vsExp, vmsExp double* for vdExp, vmdExp MKL_Complex8* for vcExp, vmcExp MKL_Complex16* for vzExp, vmzExp	FORTRAN: Array, specifies the output vector y. C: Pointer to an array that contains the output vector y.

Name

Type

Description

y

FORTRAN 77: REAL for vsexp, vmsexp

DOUBLE PRECISION for vdexp, vmdexp

COMPLEX for vcexp, vmcexp

DOUBLE COMPLEX for vzexp, vmzexp

Fortran 90: REAL, INTENT(OUT) for vsexp, vmsexp

DOUBLE PRECISION, INTENT(OUT) for vdexp, vmdexp

COMPLEX, INTENT(OUT) for vcexp, vmcexp

DOUBLE COMPLEX, INTENT(OUT) for vzexp, vmzexp

C: float* for vsExp, vmsExp

double* for vdExp, vmdExp

MKL_Complex8* for vcExp, vmcExp

MKL_Complex16* for vzExp, vmzExp

FORTRAN: Array, specifies the output vector y.

C: Pointer to an array that contains the output vector y.

Description

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

Special Values for Real Function v?Exp(x)
Argument	Result	VML 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 VML Error Status to VML_STATUS_OVERFLOW in the case of overflow, that is, when RE(z), 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.