# 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 6 in
#   P.T. Boggs and J.W. Tolle,
#   "A strategy for global convergence in a sequential 
#    quadratic programming algorithm",
#   SINUM 26(3), pp. 600-623, 1989.

#   The problem is not convex.

#   SIF input: Ph. Toint, June 1993.

#   classification OOR2-AY-5-2

var x{1..5} := 2.0;

minimize f:
	(x[1]-1.0)^2 + (x[1]-x[2])^2 + (x[3]-1.0)^2 + (x[4]-1.0)^4 + (x[5]-1.0)^6;;

subject to cons1:
	x[4]*x[1]^2 + sin(x[4]-x[5]) = 2*sqrt(2.0);
subject to cons2:
	x[3]^4*x[2]^2 + x[2] = 8+sqrt(2.0);

solve;
display f;
display x;