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% STK_RESCALE rescales a dataset from one box to another
% Copyright Notice
%
% Copyright (C) 2012-2014 SUPELEC
%
% Author: Julien Bect <julien.bect@supelec.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/>.
function [x, a, b] = stk_rescale (x, box1, box2)
if nargin > 3,
stk_error ('Too many input arguments.', 'TooManyInputArgs');
end
% Read argument x
x_data = double (x);
d = size (x_data, 2);
% Ensure that box1 is an stk_hrect object
if ~ isa (box1, 'stk_hrect')
if isempty (box1)
box1 = stk_hrect (d); % Default: [0; 1] ^ DIM
else
box1 = stk_hrect (box1);
end
end
% Extract lower/upper bounds for box1
box1_data = double (box1.stk_dataframe);
if ~ isequal (size (box1_data), [2 d])
errmsg = sprintf ('box1 should have size [2 d], with d=%d.', d);
stk_error (errmsg, 'IncorrectSize');
end
% Ensure that box2 is an stk_hrect object
if ~ isa (box2, 'stk_hrect')
if isempty (box2)
box2 = stk_hrect (d); % [0; 1] ^ d
else
box2 = stk_hrect (box2);
end
end
% Extract lower/upper bounds for box2
box2_data = double (box2.stk_dataframe);
if ~ isequal (size (box2_data), [2 d])
errmsg = sprintf ('box2 should have size [2 d], with d=%d.', d);
stk_error (errmsg, 'IncorrectSize');
end
% Scale to [0; 1] (xx --> zz)
xmin = box1_data(1, :);
xmax = box1_data(2, :);
b1 = 1 ./ (xmax - xmin);
a1 = - xmin .* b1;
% scale to box2 (zz --> yy)
ymin = box2_data(1, :);
ymax = box2_data(2, :);
b2 = ymax - ymin;
a2 = ymin;
b = b2 .* b1;
a = a2 + a1 .* b2;
x(:) = bsxfun (@plus, a, x_data * diag (b));
end % function stk_rescale
%#ok<*CTCH>
%!shared x
%! x = rand (10, 4);
%! y = stk_rescale (x, [], []);
%! assert (stk_isequal_tolabs (x, y));
%!test
%! y = stk_rescale(0.5, [], [0; 2]);
%! assert (stk_isequal_tolabs (y, 1.0));
%!test
%! y = stk_rescale (0.5, [0; 1], [0; 2]);
%! assert (stk_isequal_tolabs (y, 1.0));
%!test
%! y = stk_rescale (0.5, [0; 2], []);
%! assert (stk_isequal_tolabs (y, 0.25));
%!test
%! y = stk_rescale (0.5, [0; 2], [0; 1]);
%! assert (stk_isequal_tolabs (y, 0.25));
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