Note: a1w denotes that first order adjoints are computed in working precision; this has the corresponding argument type nagad_a1w_w_rtype. Also available is the t1w (first order tangent linear) mode, the interface of which is implied by replacing a1w by t1w throughout this document. Additionally, the p0w (passive interface, as alternative to the FL interface) mode is available and can be inferred by replacing of active types by the corresponding passive types. The method of codifying AD implementations in the routine name and corresponding argument types is described in the NAG AD Library Introduction.

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## 1Purpose

e04ue_a1w_f is the adjoint version of the primal routine e04uef.

## 2Specification

Fortran Interface
 Subroutine e04ue_a1w_f ( ad_handle, str, lwsav, iwsav, rwsav, inform)
 Integer, Intent (Inout) :: iwsav(610) Integer, Intent (Out) :: inform Type (nagad_a1w_w_rtype), Intent (Inout) :: rwsav(475) Logical, Intent (Inout) :: lwsav(120) Character (*), Intent (In) :: str Type (c_ptr), Intent (Inout) :: ad_handle
 void e04ue_a1w_f_ ( void *&ad_handle, const char *str, logical lwsav[], Integer iwsav[], nagad_a1w_w_rtype rwsav[], Integer &inform, const Charlen length_str)
The routine may be called by the names e04ue_a1w_f or nagf_opt_nlp1_option_string_a1w. The corresponding t1w and p0w variants of this routine are also available.

## 3Description

e04ue_a1w_f is the adjoint version of the primal routine e04uef.
e04uef may be used to supply individual optional parameters to e04ucf
e04uef can also be used to supply individual optional parameters to e04uff. For further information see Section 3 in the documentation for e04uef.

## 5Arguments

In addition to the arguments present in the interface of the primal routine, e04ue_a1w_f includes some arguments specific to AD.
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.
1: ad_handle – Type (c_ptr) Input/Output
On entry: a handle to the AD configuration data object, as created by x10aa_a1w_f.
2: str – character Input
3: lwsav($120$) – logical array Communication Array
The arrays lwsav, iwsav and rwsav must not be altered between calls to any of the routines routine, routine, routine and routine.
4: iwsav($610$) – Integer array Communication Array
The arrays lwsav, iwsav and rwsav must not be altered between calls to any of the routines routine, routine, routine and routine.
5: rwsav($475$) – Type (nagad_a1w_w_rtype) array Communication Array
The arrays lwsav, iwsav and rwsav must not be altered between calls to any of the routines routine, routine, routine and routine.
6: inform – Integer Output
On exit: contains zero if a valid option string has been supplied and a $\text{value}>0$; otherwise, (see Section 6).

## 6Error Indicators and Warnings

e04ue_a1w_f preserves all error codes from e04uef and in addition can return:
${\mathbf{ifail}}=-89$
See Section 4.8.2 in the NAG AD Library Introduction for further information.
${\mathbf{ifail}}=-899$
Dynamic memory allocation failed for AD.
See Section 4.8.1 in the NAG AD Library Introduction for further information.

Not applicable.

## 8Parallelism and Performance

e04ue_a1w_f is not threaded in any implementation.

None.

## 10Example

The following examples are variants of the example for e04uef, modified to demonstrate calling the NAG AD Library.