NAG AD Library Routine Document

d01pa_a1w_f (md_simplex_a1w)


Note: _a1w_ denotes that first order adjoints are computed in working precision; this has the corresponding argument type nagad_a1w_w_rtype. Further implementations, for example for higher order differentiation or using the tangent linear approach, may become available at later marks of the NAG AD Library. The method of codifying AD implementations in routine name and corresponding argument types is described in the NAG AD Library Introduction.

1
Purpose

d01pa_a1w_f is the adjoint version of the primal routine d01paf .

2
Specification

Fortran Interface
Subroutine d01pa_a1w_f (ad_handle, ndim, vert, ldvert, sdvert, functn, minord, maxord, finvls, esterr, iuser, ruser, ifail)
Integer, Intent (In):: ndim, ldvert, sdvert, maxord
Integer, Intent (Inout):: minord, iuser(*), ifail
External:: functn
Type (nagad_a1w_w_rtype), Intent (Inout):: vert(ldvert,sdvert), finvls(maxord), ruser(*)
Type (nagad_a1w_w_rtype), Intent (Out):: esterr
Type (c_ptr), Intent (In):: ad_handle
Subroutine functn (ad_handle, ndim, x, ret, iuser, ruser)
Integer, Intent (In):: ndim
Integer, Intent (Inout):: iuser(*)
Type (nagad_a1w_w_rtype), Intent (Inout):: x(ndim), ruser(*)
Type (nagad_a1w_w_rtype), Intent (Out):: ret
Type (c_ptr), Intent (In):: ad_handle
C++ Header Interface
#include <nagad.h>
void d01pa_a1w_f_ (void *&ad_handle, const Integer &ndim, nagad_a1w_w_rtype vert[], const Integer &ldvert, const Integer &sdvert,
void (NAG_CALL functn)(void *&ad_handle, const Integer &ndim, nagad_a1w_w_rtype x[], nagad_a1w_w_rtype &ret, Integer iuser[], nagad_a1w_w_rtype ruser[]),
Integer &minord, const Integer &maxord, nagad_a1w_w_rtype finvls[], nagad_a1w_w_rtype &esterr, Integer iuser[], nagad_a1w_w_rtype ruser[], Integer &ifail)

3
Description

d01paf returns a sequence of approximations to the integral of a function over a multidimensional simplex, together with an error estimate for the last approximation. For further information see Section 3 in the documentation for d01paf .

4
References

None.

5
Arguments

d01pa_a1w_f provides access to all the arguments available in the primal routine. There are also additional arguments specific to AD. A tooltip popup for each argument can be found by hovering over the argument name in Section 2 and a summary of the arguments are provided below:

6
Error Indicators and Warnings

d01pa_a1w_f preserves all error codes from d01paf and in addition can return:
ifail=-89
An unexpected AD error has been triggered by this routine. Please contact NAG.
See Section 5.2 in the NAG AD Library Introduction for further information.
ifail=-899
Dynamic memory allocation failed for AD.
See Section 5.1 in the NAG AD Library Introduction for further information.

7
Accuracy

Not applicable.

8
Parallelism and Performance

d01pa_a1w_f is not threaded in any implementation.

9
Further Comments

None.

10
Example

The following examples are variants of the example for d01paf , modified to demonstrate calling the NAG AD Library.
LanguageSource FileDataResults
Fortand01pa_a1w_fe.f90Noned01pa_a1w_fe.r
C++d01pa_a1w_hcppe.cppNoned01pa_a1w_hcppe.r