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

function [e] = sample_subspaces_IFS_christmas_tree(num_of_samples)
%Sampling from a christmas tree. Number of samples: num_of_samples.
%   e: e(:,t) is the t^th sample. size(e,2) = num_of_samples.
%   e = sample_subspaces_IFS_christmas_tree(10000);
%Copyright (C) 2012 Zoltan Szabo ("", "szzoli (at) cs (dot) elte (dot) hu")
%This file is part of the ITE (Information Theoretical Estimators) Matlab 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 <>.

%data generation:    
    [f,p,x1] = f_christmas_tree;
    e = sample_subspaces_IFS_iteration(f,p,num_of_samples,x1);
function [f,p,x1] = f_christmas_tree()
%Returns IFS (f), probability distribution (p) and initial point (x1) of a christmas tree.

    p = [1 1 1]/3;
    %T=[A b; 0 0 1]:
        R = [0 -1 0;1 0 0; 0 0 1];   % 90 degree rotation
        T1 = [1/2 0 1/2; 0 1/2 0;0 0 1]*R;
        T2 = [1/2 0 1/2;0 1/2 1/2;0 0 1]*inv(R);
        T3 = [1/2 0 1/4;0 1/2 sqrt(3)/4;0 0 1];

        f{1}.A = T1(1:2,1:2);
        f{1}.b = T1(1:2,3);
        f{2}.A = T2(1:2,1:2);
        f{2}.b = T2(1:2,3);
        f{3}.A = T3(1:2,1:2);
        f{3}.b = T3(1:2,3);
    x1 = [.5;.5];
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