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 the routine name and corresponding argument types is described in the NAG AD Library Introduction.

## 1Purpose

s01ba_a1w_f is the adjoint version of the primal routine s01baf.

## 2Specification

Fortran Interface
 Subroutine s01ba_a1w_f ( ad_handle, x, lnx1, ifail)
 Integer, Intent (Inout) :: ifail Type (nagad_a1w_w_rtype), Intent (In) :: x Type (nagad_a1w_w_rtype), Intent (Out) :: lnx1 Type (c_ptr), Intent (In) :: ad_handle
The routine may be called by the names s01ba_a1w_f or nagf_specfun_log_shifted_a1w.

## 3Description

s01ba_a1w_f is the adjoint version of the primal routine s01baf.
s01baf returns a value of the shifted logarithmic function, $\mathrm{ln}\left(1+x\right)$, via the function name. For further information see Section 3 in the documentation for s01baf.
None.

## 5Arguments

In addition to the arguments present in the interface of the primal routine, s01ba_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.
Note that the primal routine is a function whereas s01ba_a1w_f, is a subroutine, where the function value is returned in the additional output parameter, lnx1.
1: ad_handle – Type (c_ptr) Input
On entry: a handle to the AD configuration data object, as created by x10aa_a1w_f.
2: Input
3: Output
On exit: the value of the shifted logarithmic function, $\mathrm{ln}\left(\mathrm{1}+x\right)$.
4: ifail – Integer Input/Output

## 6Error Indicators and Warnings

s01ba_a1w_f preserves all error codes from s01baf and in addition can return:
$\mathbf{ifail}=-89$
See Section 4.5.2 in the NAG AD Library Introduction for further information.
$\mathbf{ifail}=-899$
Dynamic memory allocation failed for AD.
See Section 4.5.1 in the NAG AD Library Introduction for further information.

Not applicable.

## 8Parallelism and Performance

s01ba_a1w_f is not threaded in any implementation.