* Cute AMPL model  (translation to GAMS)
*
* AMPL Model by Hande Y. Benson
*
* Copyright (C) 2001 Princeton University
* All Rights Reserved
*
* Permission to use, copy, modify, and distribute this software and
* its documentation for any purpose and without fee is hereby
* granted, provided that the above copyright notice appear in all
* copies and that the copyright notice and this
* permission notice appear in all supporting documentation.

*   Source: Problem 85 (p.35) in
*   A.R. Buckley,
*   "Test functions for unconstrained minimization",
*   TR 1989CS-3, Mathematics, statistics and computing centre,
*   Dalhousie University, Halifax (CDN), 1989.

*   SIF input: Ph. Toint, Dec 1989.

*   classification OUR2-AN-2-0

$Set N 2
Set i /i1*i%N%/;

Variable       x[i], f  ;

Equation  Def_obj ;
Def_obj.. f=e= sqr(x['i1']-2) + sqr(x['i2']-1)           +
               (1/(1-0.25*sqr(x['i1'])-sqr(x['i2'])))/25 +
               5*sqr(x['i1']- 2*x['i2']+1)               ;

x.l[i]  =    2.0    ;

Model brkmcc /all/;

Solve brkmcc using nlp minimize f;

display x.l;
display f.l;