ITE / code / IPA / data_generation / datasets / sample_subspaces_multiD_geom_Lshape.m

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function [e] = sample_subspaces_multiD_geom_Lshape(d,num_of_samples)
%Sampling from a random variable uniformly distributed on a d-dimensional L-shape.
%	num_of_samples: number of samples to be generated.
%   e: e(:,t) is the t^th sample. size(e,2) = num_of_samples.
%   e = sample_subspaces_multiD_geom_Lshape(4,1000);
%Copyright (C) 2012 Zoltan Szabo ("", "szzoli (at) cs (dot) elte (dot) hu")
%This file is part of the ITE (Information Theoretical Estimators) Matlab/Octave toolbox.
%ITE 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.
%This software 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 ITE. If not, see <>.

    E = [zeros(d,1),triu(ones(d))];
%random starting vertex:
    start_index = discrete_nonuniform_sampling(ones(d,1)/d, 1,num_of_samples);%column index
%end vertex:
    end_index = start_index + 1;
e = E(:,start_index) + repmat(rand(1,num_of_samples),d,1).* (E(:,end_index) - E(:,start_index));