NAG AD Library
f03ba (real_gen)

Settings help

AD Name Style:

AD Specification Language:

1 Purpose

f03ba is the AD Library version of the primal routine f03baf. Based (in the C++ interface) on overload resolution, f03ba can be used for primal, tangent and adjoint evaluation. It supports tangents and adjoints of first order.

2 Specification

Fortran Interface
Subroutine f03ba_AD_f ( n, a, lda, ipiv, d, id, ifail)
Integer, Intent (In) :: n, lda, ipiv(n)
Integer, Intent (Inout) :: ifail
Integer, Intent (Out) :: id
ADTYPE, Intent (In) :: a(lda,*)
ADTYPE, Intent (Out) :: d
Type (c_ptr), Intent (Inout) :: ad_handle
Corresponding to the overloaded C++ function, the Fortran interface provides five routines with names reflecting the type used for active real arguments. The actual subroutine and type names are formed by replacing AD and ADTYPE in the above as follows:
when ADTYPE is Real(kind=nag_wp) then AD is p0w
when ADTYPE is Type(nagad_a1w_w_rtype) then AD is a1w
when ADTYPE is Type(nagad_t1w_w_rtype) then AD is t1w
C++ Interface
#include <dco.hpp>
#include <nagad.h>
namespace nag {
namespace ad {
void f03ba ( handle_t &ad_handle, const Integer &n, const ADTYPE a[], const Integer &lda, const Integer ipiv[], ADTYPE &d, Integer &id, Integer &ifail)
The function is overloaded on ADTYPE which represents the type of active arguments. ADTYPE may be any of the following types:
Note: this function can be used with AD tools other than dco/c++. For details, please contact NAG.

3 Description

f03ba is the AD Library version of the primal routine f03baf.
f03baf computes the determinant of a real n×n matrix A. f07adf must be called first to supply the matrix A in factorized form. For further information see Section 3 in the documentation for f03baf.

4 References

Wilkinson J H and Reinsch C (1971) Handbook for Automatic Computation II, Linear Algebra Springer–Verlag

5 Arguments

In addition to the arguments present in the interface of the primal routine, f03ba 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_handlenag::ad::handle_t Input/Output
On entry: a configuration object that holds information on the differentiation strategy. Details on setting the AD strategy are described in AD handle object in the NAG AD Library Introduction.
2: n – Integer Input
3: a(lda, *) – ADTYPE array Input
4: lda – Integer Input
5: ipiv(n) – Integer array Input
6: dADTYPE Output
7: id – Integer Output
8: ifail – Integer Input/Output

6 Error Indicators and Warnings

f03ba preserves all error codes from f03baf and in addition can return:
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.
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.
A C++ exception was thrown.
The error message will show the details of the C++ exception text.
Dynamic memory allocation failed for AD.
See Error Handling in the NAG AD Library Introduction for further information.

7 Accuracy

Not applicable.

8 Parallelism and Performance

f03ba is not threaded in any implementation.

9 Further Comments


10 Example

The following examples are variants of the example for f03baf, modified to demonstrate calling the NAG AD Library.
Description of the primal example.
This example computes the LU factorization with partial pivoting, and calculates the determinant, of the real matrix
( 33 16 72 −24 −10 −57 −8 −4 −17 ) .  

10.1 Adjoint modes

Language Source File Data Results
Fortran f03ba_a1w_fe.f90 f03ba_a1w_fe.d f03ba_a1w_fe.r
C++ f03ba_a1w_hcppe.cpp f03ba_a1w_hcppe.d f03ba_a1w_hcppe.r

10.2 Tangent modes

Language Source File Data Results
Fortran f03ba_t1w_fe.f90 f03ba_t1w_fe.d f03ba_t1w_fe.r
C++ f03ba_t1w_hcppe.cpp f03ba_t1w_hcppe.d f03ba_t1w_hcppe.r

10.3 Passive mode

Language Source File Data Results
Fortran f03ba_p0w_fe.f90 f03ba_p0w_fe.d f03ba_p0w_fe.r
C++ f03ba_p0w_hcppe.cpp f03ba_p0w_hcppe.d f03ba_p0w_hcppe.r