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get_intersection.m
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get_intersection.m
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% PAL (Pareto Active Learning) Algorithm
%
% Copyright (c) 2013 ETH Zurich
%
% This program 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 2 of the License, or
% (at your option) any later version.
%
% This program 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 this program; if not, write to the Free Software
% Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
function [mu_y1,sigma_y1,mu_y2,sigma_y2] = get_intersection(area_a, area_b)
mu_y1_a = area_a(1);
sigma_y1_a = area_a(2);
mu_y2_a = area_a(3);
sigma_y2_a = area_a(4);
mu_y1_b = area_b(1);
sigma_y1_b = area_b(2);
mu_y2_b = area_b(3);
sigma_y2_b = area_b(4);
%check if they intersect
intersect = 1;
if (mu_y1_a<mu_y1_b)
if ((mu_y1_a+sigma_y1_a) < (mu_y1_b-sigma_y1_b));
intersect = 0;
end
else
if ((mu_y1_b+sigma_y1_b) < (mu_y1_a-sigma_y1_a));
intersect = 0;
end
end
if (intersect == 1)
%check second objective
if (mu_y2_a<mu_y2_b)
if ((mu_y2_a+sigma_y2_a) < (mu_y2_b-sigma_y2_b));
intersect = 0;
end
else
if ((mu_y2_b+sigma_y2_b) < (mu_y2_a-sigma_y2_a));
intersect = 0;
end
end
end
if (intersect == 1)
if (mu_y1_a<mu_y1_b)
if (mu_y1_a+sigma_y1_a>=mu_y1_b+sigma_y1_b)
sigma_y1 = sigma_y1_b;
mu_y1 = mu_y1_b ;
elseif (mu_y1_a-sigma_y1_a<=mu_y1_b-sigma_y1_b)
mu_y1 = mu_y1_a;
sigma_y1 = sigma_y1_a;
else
tmp = (mu_y1_a + sigma_y1_a) - (mu_y1_b - sigma_y1_b);
tmp2 = mu_y1_b - sigma_y1_b;
sigma_y1 = tmp /2;
mu_y1 = tmp2 + sigma_y1;
end
else
if (mu_y1_b+sigma_y1_b>=mu_y1_a+sigma_y1_a)
mu_y1 = mu_y1_a;
sigma_y1 = sigma_y1_a;
elseif (mu_y1_b-sigma_y1_b>=mu_y1_a-sigma_y1_a)
mu_y1 = mu_y1_b;
sigma_y1 = sigma_y1_b;
else
tmp = (mu_y1_b + sigma_y1_b) - (mu_y1_a - sigma_y1_a);
tmp2 = mu_y1_a - sigma_y1_a;
sigma_y1 = tmp /2;
mu_y1 = tmp2 + sigma_y1;
end
end
if (mu_y2_a<mu_y2_b)
if (mu_y2_a+sigma_y2_a>=mu_y2_b+sigma_y2_b)
mu_y2 = mu_y2_b;
sigma_y2 = sigma_y2_b;
elseif (mu_y2_a-sigma_y2_a<=mu_y2_b-sigma_y2_b)
mu_y2 = mu_y2_a;
sigma_y2 = sigma_y2_a;
else
tmp = (mu_y2_a + sigma_y2_a) - (mu_y2_b - sigma_y2_b);
tmp2 = mu_y2_b - sigma_y2_b;
sigma_y2 = tmp /2;
mu_y2 = tmp2 + sigma_y2;
end
else
if (mu_y2_b+sigma_y2_b>=mu_y2_a+sigma_y2_a)
mu_y2 = mu_y2_a;
sigma_y2 = sigma_y2_a;
elseif (mu_y2_b-sigma_y2_b>=mu_y2_a-sigma_y2_a)
mu_y2 = mu_y2_b;
sigma_y2 = sigma_y2_b;
else
tmp = (mu_y2_b + sigma_y2_b) - (mu_y2_a - sigma_y2_a);
tmp2 = mu_y2_a - sigma_y2_a;
sigma_y2 = tmp /2;
mu_y2 = tmp2 + sigma_y2;
end
end
else
%if no intersection, assigns second values
mu_y1 = mu_y1_b;
sigma_y1 = sigma_y1_b;
mu_y2 = mu_y2_b;
sigma_y2 = sigma_y2_b;
end
end