wolffd@0: function [marginals, loglik] = enter_soft_evidence(engine, CPDpot, observed, pot_type, filter)
wolffd@0: % ENTER_SOFT_EVIDENCE Add the specified soft evidence to the network (bk_ff)
wolffd@0: % [marginals, loglik] = enter_soft_evidence(engine, CPDpot, observed, pot_type, filter)
wolffd@0: 
wolffd@0: assert(pot_type == 'd');
wolffd@0: [ss T] = size(CPDpot);
wolffd@0: fwd = cell(ss,T);
wolffd@0: hnodes = engine.hnodes(:)';
wolffd@0: onodes = engine.onodes(:)';
wolffd@0: bnet = bnet_from_engine(engine);
wolffd@0: ns = bnet.node_sizes;
wolffd@0: onodes2 = [onodes onodes+ss];
wolffd@0: ns(onodes2) = 1;
wolffd@0: 
wolffd@0: logscale = zeros(1,T);
wolffd@0: local_logscale = zeros(1,length(hnodes));
wolffd@0: 
wolffd@0: t = 1;
wolffd@0: for i=hnodes
wolffd@0:   fwd{i,t} = CPDpot{i,t};
wolffd@0: end
wolffd@0: for i=onodes
wolffd@0:   p = parents(bnet.dag, i);
wolffd@0:   assert(length(p)==1);
wolffd@0:   ev = marginalize_pot(CPDpot{i,t}, p);
wolffd@0:   fwd{p,t} = multiply_by_pot(fwd{p,t}, ev);
wolffd@0: end
wolffd@0: for i=hnodes
wolffd@0:   [fwd{i,t}, local_logscale(i)] = normalize_pot(fwd{i,t});
wolffd@0: end
wolffd@0: logscale(t) = sum(local_logscale);
wolffd@0: 
wolffd@0: for t=2:T
wolffd@0:   for i=hnodes
wolffd@0:     ps = parents(bnet.dag, i+ss);
wolffd@0:     assert(all(ps<=ss)); % in previous slice
wolffd@0:     prior = CPDpot{i,t};
wolffd@0:     for p=ps(:)'
wolffd@0:       prior = multiply_by_pot(prior, fwd{p,t-1});
wolffd@0:     end
wolffd@0:     fwd{i,t} = marginalize_pot(prior, i+ss);
wolffd@0:     fwd{i,t} = set_domain_pot(fwd{i,t}, i);
wolffd@0:   end
wolffd@0:   for i=onodes
wolffd@0:     p = parents(bnet.dag, i);
wolffd@0:     assert(length(p)==1);
wolffd@0:     temp = pot_to_marginal(CPDpot{i,t}); 
wolffd@0:     ev = dpot(p, ns(p), temp.T);
wolffd@0:     fwd{p,t} = multiply_by_pot(fwd{p,t}, ev);
wolffd@0:   end
wolffd@0:   
wolffd@0:   for i=hnodes
wolffd@0:     [fwd{i,t}, local_logscale(i)] = normalize_pot(fwd{i,t});
wolffd@0:   end
wolffd@0:   logscale(t) = sum(local_logscale);
wolffd@0: end
wolffd@0: 
wolffd@0: marginals = fwd;
wolffd@0: loglik = sum(logscale);