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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) 2008-2009 - INRIA - Michael Baudin
// Copyright (C) 2010 - DIGITEO - Allan CORNET
// Copyright (C) 2011 - DIGITEO - Michael Baudin
// Copyright (C) 2012 - Scilab Enterprises - Adeline CARNIS
//
// This file must be used under the terms of the CeCILL.
// This source file is licensed as described in the file COPYING, which
// you should have received as part of this distribution. The terms
// are also available at
// http://www.cecill.info/licences/Licence_CeCILL_V2.1-en.txt
function demo_nmplot_1()
filename = "nmplot_han1.sce";
dname = get_absolute_file_path(filename);
mprintf(_("Illustrates the 1st counter example given by Han et al.\n"));
//
// han1 --
// Compute the cost function from the Han Phd Thesis
// which exhibits a failure of the NM method.
// Reference
// Algorithms in Unconstrained Optimization
// Han, Lixing
// 2000
// Ph.D., The University of Connecticut
//
mprintf(_("Defining Han function...\n"));
function [ f , index ] = han1 ( x , index )
f = x(1)^2 + x(2) * (x(2) + 2.0) * (x(2) - 0.5) * (x(2) - 2.0);
endfunction
function y = han1C ( x1 , x2 )
y = han1 ( [x1 , x2] , 2 )
endfunction
mprintf(_("Defining initial simplex coordinates...\n"));
coords0 = [
0. -1.
0. 1.
1. 0.
];
mprintf(_("Creating nmplot object...\n"));
nm = nmplot_new ();
mprintf(_("Configuring nmplot object...\n"));
nm = nmplot_configure(nm, "-numberofvariables", 2);
nm = nmplot_configure(nm, "-function", han1);
nm = nmplot_configure(nm, "-x0", [1.0 1.0]');
nm = nmplot_configure(nm, "-maxiter", 50);
nm = nmplot_configure(nm, "-maxfunevals", 300);
nm = nmplot_configure(nm, "-tolfunrelative", 10*%eps);
nm = nmplot_configure(nm, "-tolxrelative", 10*%eps);
nm = nmplot_configure(nm, "-simplex0method", "given");
nm = nmplot_configure(nm, "-coords0", coords0);
//
// Setup output files
//
mprintf(_("Setup output files...\n"));
simplexfn = TMPDIR + filesep() + "history.simplex.txt";
nm = nmplot_configure(nm, "-simplexfn", simplexfn);
//
// Perform optimization
//
mprintf(_("Searching (please wait)...\n"));
nm = nmplot_search(nm);
//
// Print a summary
//
exec(fullfile(dname,"nmplot_summary.sci"),-1);
nmplot_summary(nm)
//
// Plot the history of the simplex
//
mprintf(_("Plotting contour (please wait)...\n"));
xmin = -0.2 ;
xmax = 1.2 ;
ymin = -2.0 ;
ymax = 2.0 ;
nx = 50 ;
ny = 50;
xdata=linspace(xmin,xmax,nx);
ydata=linspace(ymin,ymax,ny);
scf();
drawlater();
contour ( xdata , ydata , han1C , [-5 -4 -2 -1 0 1 1.5] )
nmplot_simplexhistory ( nm );
drawnow();
demo_viewCode(filename);
//
// Clean-up
//
deletefile(simplexfn);
nm = nmplot_destroy(nm);
mprintf(_("End of demo.\n"));
endfunction
demo_nmplot_1();
clear demo_nmplot_1;
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