# 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 9 in
#   J.J. More',"A collection of nonlinear model problems"
#   Proceedings of the AMS-SIAM Summer Seminar on the Computational
#   Solution of Nonlinear Systems of Equations, Colorado, 1988.
#   Argonne National Laboratory MCS-P60-0289, 1989.

#   SIF input: Ph. Toint, Dec 1989.

#   classification NOR2-RN-8-5

var rollrate := 0.0;
var pitchrat := 0.0;
var yawrate := 0.0;
var attckang := 0.0;
var sslipang := 0.0;
var elevator := 0.0;
var aileron := 0.0;
var rudderdf := 0.0;

minimize f: 0;

subject to cons1:
(-3.933*rollrate+0.107*pitchrat+0.126*yawrate-9.99*sslipang-45.83*aileron-7.64*rudderdf-0.727*pitchrat*yawrate+
8.39*yawrate*attckang-684.4*attckang*sslipang+63.5*pitchrat*attckang) = 0;
subject to cons2:
(-0.987*pitchrat-22.95*attckang-28.37*elevator+0.949*rollrate*yawrate+0.173*rollrate*sslipang) = 0;
subject to cons3:
(0.002*rollrate-0.235*yawrate+5.67*sslipang-0.921*aileron-6.51*rudderdf-0.716*rollrate*pitchrat-1.578*rollrate*attckang+1.132*pitchrat*attckang) = 0;
subject to cons4:
(pitchrat- attckang-1.168*elevator-rollrate*sslipang) = 0;
subject to cons5:
(-yawrate-0.196*sslipang-0.0071*aileron+rollrate*attckang) = 0;

fix elevator := 0.1;
fix aileron := 0.0;
fix rudderdf := 0.0;

solve;
display f;
display rollrate, pitchrat, yawrate, attckang, sslipang, elevator, aileron, rudderdf;