# NAG AD Library Routine Document

## s01ba_a1w_f (log_shifted_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.

## 1Purpose

s01ba_a1w_f is the adjoint version of the primal routine s01baf .

## 2Specification

Fortran Interface
 Subroutine s01ba_a1w_f ( ad_handle, x, ret, ifail)
 Integer, Intent (Inout) :: ifail Type (nagad_a1w_w_rtype), Intent (In) :: x Type (nagad_a1w_w_rtype), Intent (Out) :: ret Type (c_ptr), Intent (In) :: ad_handle

## 3Description

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

s01ba_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:
• ad_handle – a handle to the AD configuration data object, as created by x10aa_a1w_f.
• x – the argument $x$ of the function.
• ret – routine returns a value of the shifted logarithmic function, $\mathrm{ln}\left(\mathrm{1}+x\right)$..
• ifail – on entry: ifail must be set to $\mathrm{0}$, $-\mathrm{1}\text{ or }\mathrm{1}$. on exit: ifail = 0 unless the routine detects an error or a warning has been flagged (see Section 6).

## 6Error Indicators and Warnings

s01ba_a1w_f preserves all error codes from s01baf and in addition can return:
$\mathbf{ifail}=-89$
See Section 5.2 in the NAG AD Library Introduction for further information.
$\mathbf{ifail}=-899$
Dynamic memory allocation failed for AD.
See Section 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.