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function m = marginal_family(engine, i, t)
% MARGINAL_FAMILY Compute the marginal on i's family (inf_engine)
% m = marginal_family(engine, i, t)
%
% t defaults to 1.
if nargin < 3, t = 1; end
bnet = bnet_from_engine(engine);
if t==1
m = marginal_nodes(engine, family(bnet.dag, i));
else
ss = length(bnet.intra);
fam = family(bnet.dag, i+ss);
if any(fam<=ss)
% i has a parent in the preceeding slice
% Hence the lowest numbered slice containing the family is t-1
m = marginal_nodes(engine, fam, t-1);
else
% The family all fits inside slice t
% Hence shift the indexes back to slice 1
m = marginal_nodes(engine, fam-ss, t);
end
end
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