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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_qfixed()
filename = "nmplot_quadratic.fixed.sce";
dname = get_absolute_file_path(filename);
mprintf(_("Illustrates that the fixed-shape Spendley et al. algorithm performs well on a quadratic test case.\n"));
mprintf(_("Defining quadratic function ...\n"));
function [ y , index ] = quadratic ( x , index )
y = x(1)^2 + x(2)^2 - x(1) * x(2);
endfunction
function y = quadraticC ( x1, x2 )
y = quadratic ( [x1, x2] , 2 )
endfunction
mprintf(_("Creating nmplot object ...\n"));
nm = nmplot_new ();
nm = nmplot_configure(nm, "-numberofvariables",2);
nm = nmplot_configure(nm, "-function",quadratic);
nm = nmplot_configure(nm, "-x0",[2.0 2.0]');
nm = nmplot_configure(nm, "-maxiter",100);
nm = nmplot_configure(nm, "-maxfunevals",300);
nm = nmplot_configure(nm, "-tolxmethod",%f);
nm = nmplot_configure(nm, "-tolsimplexizerelative",1.e-8);
nm = nmplot_configure(nm, "-simplex0method","spendley");
nm = nmplot_configure(nm, "-method","fixed");
//
// Setup output files
//
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 simplex history
scf();
// Plot the contours of the cost function and the simplex history
mprintf(_("Plotting contour (please wait) ...\n"));
nm = nmplot_configure(nm, "-verbose",0);
xmin = -2.0 ;
xmax = 4.0 ;
ymin = -2.0 ;
ymax = 4.0 ;
nx = 50 ;
ny = 50;
xdata=linspace(xmin,xmax,nx);
ydata=linspace(ymin,ymax,ny);
drawlater();
contour ( xdata , ydata , quadraticC , [0.1 1.0 2.0 5.0 10.0 15.0 20.0] )
nmplot_simplexhistory ( nm );
drawnow();
demo_viewCode(filename);
// Clean-up
deletefile(simplexfn);
nm = nmplot_destroy(nm);
mprintf("End of demo.\n");
endfunction
demo_nmplot_qfixed();
clear demo_nmplot_qfixed;
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