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% STK_DIST computes a matrix of (Euclidean) distances
%
% CALL: D = stk_dist(X, Y)
%
% computes the matrix of distances between X and Y. More precisely, if
% X is an nX x d matrix, and Y an nY x d matrix, the D is an nX x nY
% matrix with
%
% D_{i,j} = norm(X(i,:) - Y(j,:)),
%
% where norm(.) denotes the Euclidean norm in R^d.
%
% See also: stk_mindist, stk_filldist, norm
% Copyright Notice
%
% Copyright (C) 2018 CentraleSupelec
% Copyright (C) 2012, 2013 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
% (https://github.com/stk-kriging/stk/)
%
% 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 D = stk_dist(x, y, pairwise)
% read argument #1
x = double(x);
% read argument #2
if nargin < 2,
y = [];
else
y = double(y);
end
% read argument #3
if nargin < 3,
pairwise = false;
else
if ~islogical(pairwise)
errmsg = 'Argument ''pairwise'' should be either true or false.';
stk_error(errmsg, 'TypeMismatch');
end
end
if pairwise,
if isempty(y),
D = zeros(size(x, 1), 1);
else
D = __stk_dist_pairwise__ (x, y);
%D = sqrt (sum ((x - y) .^ 2, 2)); % The MEX-file is usually faster
end
else
if isempty(y),
D = __stk_dist_matrixx__(x);
else
D = __stk_dist_matrixy__(x, y);
end
end
end % function
%%
% Check that an error is raised in nargin is neither 1 nor 2
%!error stk_dist();
%!error stk_dist(0, 0, 0);
%!error stk_dist(0, 0, 0, 0);
%%
% Check that an error is raised when the number of columns differs
%!error stk_dist(0, ones(1, 2));
%!error stk_dist(eye(3), ones(1, 2));
%!error stk_dist(ones(2, 1), zeros(2));
%%
% Test with some simple matrices
%!shared x, y, z
%! x = zeros(11, 5);
%! y = zeros(13, 5);
%! z = ones(7, 5);
%!test
%! Dx = stk_dist(x);
%! assert(isequal(Dx, zeros(11)));
%!test
%! Dxx = stk_dist(x, x);
%! assert(isequal(Dxx, zeros(11)));
%!test
%! Dxy = stk_dist(x, y);
%! assert(isequal(Dxy, zeros(11, 13)));
%!test
%! Dzz = stk_dist(z, z);
%! assert(isequal(Dzz, zeros(7)));
%!test
%! Dxz = stk_dist(x, z);
%! assert(stk_isequal_tolabs(Dxz, sqrt(5)*ones(11, 7)));
%!test
%! x = randn(5,3);
%! y = randn(5,3);
%! D1 = stk_dist(x, y, true); % pairwise
%! D2 = stk_dist(x, y);
%! assert(stk_isequal_tolabs(D1, diag(D2)));
%!test
%! x = randn(5,3);
%! D1 = stk_dist(x, [], true); % pairwise
%! assert(stk_isequal_tolabs(D1, zeros(5, 1)));
%! D1 = stk_dist(x, x, true); % pairwise
%! assert(stk_isequal_tolabs(D1, zeros(5, 1)));
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