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// Scilab ( http://www.scilab.org/ ) - This file is part of Scilab
// Copyright (C) ENPC
// Copyright (C) ????-2008 - INRIA
// Copyright (C) 2010 - DIGITEO - Allan CORNET
//
// This file is released under the 3-clause BSD license. See COPYING-BSD.
function [z] = RndDiscT(n)
function [y] = RndDisc(m,n,x,p)
// discrete law random number
// sum p_i delta_{x_i}
//-------------------------------
p1 = [0, p];
p1 = cumsum(p1);
y = rand(m, n, "uniform");
N = prod(size(x));
res = 0*ones(m*n);
for i=1:N,z=0*ones(m*n,1),id=find( p1(i) <= y & y < p1(i+1) ),
z(id) = x(i)*ones(prod(size(id))),res=res+z;
end
y = matrix(res, m, n);
endfunction
[lhs,rhs] = argn(0)
if rhs <= 0 ; n = 10000;end
x = [1,3,4,6,10,12];
pr = [0.1,0.2,0.3,0.2,0.1,0.1];
y = RndDisc(1,n,x,pr);
i = 0:13
z = [];
for i1=i, z=[z,prod(size(find(y==i1)))],end
drawlater();
my_handle = scf(100001);
clf(my_handle, "reset");
demo_viewCode("discrete.dem.sce");
plot2d3("onn",i',z'/n,[1,3],,,[0,0,14,0.5]);
plot2d1("onn",x',pr',[-2,6]);
xtitle(_("Simulation of a discrete random variable"));
current_axe = gca();
current_axe.title.font_size = 3;
current_axe.background = color(232,230,200);
legend([_("Simulation"); _("Theory")]);
drawnow();
endfunction
RndDiscT();
clear RndDiscT;
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