e01da: FL CL CPP AD

NAG AD Library
e01da_a1w_f (dim2_spline_grid_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 the routine name and corresponding argument types is described in the NAG AD Library Introduction.

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NAG Library Manual, Mark 27

Interfaces: FL CL CPP AD

NAG AD Library Introduction

E01 (Interp) Chapter Contents

E01 (Interp) Chapter Introduction (FL)

e01da: FL CL CPP AD

▸▿ Contents

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

6 Error Indicators and Warnings

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example

1 Purpose

e01da_a1w_f is the adjoint version of the primal routine e01daf.

2 Specification

Fortran Interface

Subroutine e01da_a1w_f (

ad_handle, mx, my, x, y, f, px, py, lamda, mu, c, wrk, ifail)

Integer, Intent (In)	::	mx, my
Integer, Intent (Inout)	::	ifail
Integer, Intent (Out)	::	px, py
Type (nagad_a1w_w_rtype), Intent (In)	::	x(mx), y(my), f(mx*my)
Type (nagad_a1w_w_rtype), Intent (Out)	::	lamda(mx+4), mu(my+4), c(mxmy), wrk((mx+6)(my+6))
Type (c_ptr), Intent (In)	::	ad_handle

C++ Header Interface

#include <nagad.h>

void e01da_a1w_f_ (

void *&ad_handle, const Integer &mx, const Integer &my, nagad_a1w_w_rtype x[], nagad_a1w_w_rtype y[], nagad_a1w_w_rtype f[], Integer &px, Integer &py, nagad_a1w_w_rtype lamda[], nagad_a1w_w_rtype mu[], nagad_a1w_w_rtype c[], nagad_a1w_w_rtype wrk[], Integer &ifail)

The routine may be called by the names e01da_a1w_f or nagf_interp_dim2_spline_grid_a1w.

3 Description

e01da_a1w_f is the adjoint version of the primal routine e01daf.

e01daf computes a bicubic spline interpolating surface through a set of data values, given on a rectangular grid in the

x

y

plane. For further information see Section 3 in the documentation for e01daf.

4 References

None.

5 Arguments

In addition to the arguments present in the interface of the primal routine, e01da_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: On entry: a handle to the AD configuration data object, as created by x10aa_a1w_f.
2: mx – Integer Input
3: my – Integer Input
4: x(mx) – Type (nagad_a1w_w_rtype) array Input
5: y(my) – Type (nagad_a1w_w_rtype) array Input
6: f( $mx \times my$ ) – Type (nagad_a1w_w_rtype) array Input
7: px – Integer Output
8: py – Integer Output
9: lamda( $mx + 4$ ) – Type (nagad_a1w_w_rtype) array Output
10: mu( $my + 4$ ) – Type (nagad_a1w_w_rtype) array Output
11: c( $mx \times my$ ) – Type (nagad_a1w_w_rtype) array Output
12: wrk( $(mx + 6) \times (my + 6)$ ) – Type (nagad_a1w_w_rtype) array Workspace
13: ifail – Integer Input/Output

6 Error Indicators and Warnings

e01da_a1w_f preserves all error codes from e01daf and in addition can return:

$ifail = - 89$: An unexpected AD error has been triggered by this routine. Please contact NAG.
See Section 4.5.2 in the NAG AD Library Introduction for further information.

$ifail = - 899$: Dynamic memory allocation failed for AD.
See Section 4.5.1 in the NAG AD Library Introduction for further information.

7 Accuracy

Not applicable.

8 Parallelism and Performance

e01da_a1w_f is not threaded in any implementation.

9 Further Comments

None.

10 Example

The following examples are variants of the example for e01daf, modified to demonstrate calling the NAG AD Library.

Language	Source File	Data	Results
Fortran	e01da_a1w_fe.f90	e01da_a1w_fe.d	e01da_a1w_fe.r
C++	e01da_a1w_hcppe.cpp	e01da_a1w_hcppe.d	e01da_a1w_hcppe.r

NAG Library Manual, Mark 27

Interfaces: FL CL CPP AD

NAG AD Library Introduction

E01 (Interp) Chapter Contents

E01 (Interp) Chapter Introduction (FL)

e01da: FL CL CPP AD

NAG AD Librarye01da_a1w_f (dim2_spline_grid_a1w)

▸▿ Contents

1 Purpose

2 Specification

3 Description

4 References

5 Arguments

6 Error Indicators and Warnings

7 Accuracy

8 Parallelism and Performance

9 Further Comments

10 Example

NAG AD Library
e01da_a1w_f (dim2_spline_grid_a1w)