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% STK_EXAMPLE_DOE01 Examples of two-dimensional designs
%
% All designs are constructed on the hyper-rectangle BOX = [0; 2] x [0; 4].
%
% Examples of the following designs are shown:
% a) Regular grid --> stk_sampling_regulargrid,
% b) "Maximin" latin hypercube sample --> stk_sampling_maximinlhs,
% c) RR2-scrambled Halton sequence --> stk_sampling_halton_rr2,
% d) Uniformly distributed random sample --> stk_sampling_randunif.
% Copyright Notice
%
% Copyright (C) 2011-2014 SUPELEC
%
% Authors: Julien Bect <julien.bect@centralesupelec.fr>
% Emmanuel Vazquez <emmanuel.vazquez@centralesupelec.fr>
% Copying Permission Statement
%
% This file is part of
%
% STK: a Small (Matlab/Octave) Toolbox for Kriging
% (http://sourceforge.net/projects/kriging)
%
% STK is free software: you can redistribute it and/or modify it under
% the terms of the GNU General Public License as published by the Free
% Software Foundation, either version 3 of the License, or (at your
% option) any later version.
%
% STK is distributed in the hope that it will be useful, but WITHOUT
% ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
% or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public
% License for more details.
%
% You should have received a copy of the GNU General Public License
% along with STK. If not, see <http://www.gnu.org/licenses/>.
stk_disp_examplewelcome
DIM = 2; % dimension of the factor space
BOX = [0 0; 2 4]; % factor space
N = 49; % size of the space-filling designs
stk_figure (sprintf ('stk_exampke_doe01 - Several designs with N = %d', N));
PLOT_OPTIONS = {'ko', 'MarkerSize', 4, 'MarkerFaceColor', 'k'};
%% Regular grid
x = stk_sampling_regulargrid (N, DIM, BOX);
stk_subplot (2, 2, 1); plot (x(:, 1), x(:, 2), PLOT_OPTIONS{:});
stk_title ('a) Regular grid');
%% "Maximin" Latin Hypercube samples
x = stk_sampling_maximinlhs (N, DIM, BOX);
stk_subplot (2, 2, 2); plot (x(:, 1), x(:, 2), PLOT_OPTIONS{:});
stk_title ('b) "Maximin" LHS');
%% Halton sequence with RR2 scrambling
x = stk_sampling_halton_rr2 (N, DIM, BOX);
stk_subplot (2, 2, 3); plot (x(:, 1), x(:, 2), PLOT_OPTIONS{:});
stk_title ('c) Halton-RR2');
%% Random (uniform) sampling
x = stk_sampling_randunif (N, DIM, BOX);
stk_subplot (2, 2, 4); plot (x(:, 1), x(:, 2), PLOT_OPTIONS{:});
stk_title ('d) Random');
%!test stk_example_doe01; close all;
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