s18de
is the AD Library version of the primal routine
s18def.
Based (in the C++ interface) on overload resolution,
s18de can be used for primal, tangent and adjoint
evaluation. It supports tangents and adjoints of first order.
Note: this function can be used with AD tools other than dco/c++. For details, please contact
NAG.
s18de
is the AD Library version of the primal routine
s18def.
s18def returns a sequence of values for the modified Bessel functions
${I}_{\nu +n}\left(z\right)$ for complex
$z$, non-negative
$\nu $ and
$n=0,1,\dots ,N-1$, with an option for exponential scaling.
For further information see
Section 3 in the documentation for
s18def.
Amos D E (1986) Algorithm 644: A portable package for Bessel functions of a complex argument and non-negative order ACM Trans. Math. Software 12 265–273
A brief summary of the AD specific arguments is given below. For the remainder, links are provided to the corresponding argument from the primal routine.
A tooltip popup for all arguments can be found by hovering over the argument name in
Section 2 and in this section.
s18de preserves all error codes from
s18def and in addition can return:
- ${\mathbf{ifail}}=-89$
An unexpected AD error has been triggered by this routine. Please
contact
NAG.
See
Error Handling in the NAG AD Library Introduction for further information.
- ${\mathbf{ifail}}=-199$
The routine was called using a strategy that has not yet been implemented.
See
AD Strategies in the NAG AD Library Introduction for further information.
- ${\mathbf{ifail}}=-444$
A C++ exception was thrown.
The error message will show the details of the C++ exception text.
- ${\mathbf{ifail}}=-899$
Dynamic memory allocation failed for AD.
See
Error Handling in the NAG AD Library Introduction for further information.
Not applicable.
None.
The following examples are variants of the example for
s18def,
modified to demonstrate calling the NAG AD Library.
This example prints a caption and then proceeds to read sets of data from the input data stream. The first datum is a value for the order
fnu, the second is a complex value for the argument,
z, and the third is a character value
to set the argument
scal. The program calls the routine with
${\mathbf{n}}=2$ to evaluate the function for orders
fnu and
${\mathbf{fnu}}+1$, and it prints the results. The process is repeated until the end of the input data stream is encountered.