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package it.cnr.istc.pst.platinum.ai.framework.time.solver.apsp; |
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import java.util.HashMap; |
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import java.util.Iterator; |
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import java.util.Map; |
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import it.cnr.istc.pst.platinum.ai.framework.time.solver.TemporalSolver; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.TemporalNetwork; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.TimePoint; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.lang.event.TemporalNetworkNotification; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.lang.query.TimePointDistanceFromOriginQuery; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.lang.query.TimePointDistanceQuery; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.lang.query.TimePointDistanceToHorizonQuery; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.lang.query.TimePointQuery; |
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import it.cnr.istc.pst.platinum.ai.framework.time.tn.lang.query.TimePointScheduleQuery; |
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/** |
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* |
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* @author alessandro |
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* |
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*/ |
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public final class APSPTemporalSolver extends TemporalSolver<TimePointQuery> |
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{ |
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private DistanceGraph dg; // distance graph |
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private Map<TimePoint, Map<TimePoint, Long>> distance; // the distance matrix containing the minimum distances between points; |
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private boolean toPropagate; // lazy approach - propagate constraint only when needed |
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private int propagationCounter; |
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/** |
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* Create an All-Pair-Shortest-Path Solver instance. |
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* |
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*/ |
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public APSPTemporalSolver(TemporalNetwork tn) { |
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super(tn); |
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// initialize APSP data structure |
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this.distance = null; |
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// attribute for testing purposes |
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this.propagationCounter = 0; |
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// initialize |
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this.dg(); |
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// set flag |
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this.toPropagate = true; |
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} |
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/** |
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* |
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*/ |
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private void dg() { |
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// create the distance graph |
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this.dg = new DistanceGraph(); |
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// set temporal horizon |
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this.dg.setInfity(this.tn.getHorizon()); |
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// add all points to the distance graph |
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for (TimePoint point : this.tn.getTimePoints()) { |
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// add node to the distance graph |
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this.dg.add(point); |
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} |
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// add edges between points |
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for (TimePoint reference : this.tn.getTimePoints()) { |
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for (TimePoint target : this.tn.getTimePoints()) { |
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// check if different |
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if (!reference.equals(target)) { |
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// get constraint bounds |
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long[] bounds = this.tn.getConstraintBounds(reference, target); |
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// check if a bound exists |
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if (bounds != null) { |
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// set distance graph's edges according to the computed bounds |
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this.dg.add(reference, target, bounds[1]); |
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this.dg.add(target, reference, -bounds[0]); |
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} |
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} |
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} |
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} |
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} |
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/** |
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* |
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* @return |
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*/ |
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@Override |
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public boolean isConsistent() |
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{ |
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// check information status |
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if (this.toPropagate) { |
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// clean distance matrix's data |
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this.compute(); |
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} |
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// check consistency |
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boolean consistent = true; |
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Iterator<TimePoint> it = this.dg.getPoints().iterator(); |
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while (it.hasNext() && consistent) { |
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// next time point |
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TimePoint tp = it.next(); |
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// check cyclic distance |
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long d = this.distance.get(tp).get(tp); |
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// check condition |
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consistent = (d == 0); |
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} |
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// get consistency check result |
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return consistent; |
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} |
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/** |
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* |
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*/ |
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@Override |
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public void notify(TemporalNetworkNotification info) |
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{ |
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// check notification type |
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switch (info.getType()) |
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{ |
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// temporal network initialized |
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// case INITIALIZATION: { |
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// |
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// // initialize data structures |
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// this.dg(); |
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// // set to propagate flag |
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// this.toPropagate = true; |
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// } |
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// break; |
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// temporal constraint added |
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// case ADD_REL: { |
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// |
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// // handle request |
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// AddRelationTemporalNetworkNotification notif = (AddRelationTemporalNetworkNotification) info; |
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// // check pairs of involved time points |
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// Map<TimePoint, Set<TimePoint>> p2p= new HashMap<>(); |
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// // check added constraints |
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// for (TimePointDistanceConstraint constraint : notif.getRels()) { |
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// // check time points |
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// if (!p2p.containsKey(constraint.getReference())) { |
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// p2p.put(constraint.getReference(), new HashSet<>()); |
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// } |
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// |
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// // add pair |
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// p2p.get(constraint.getReference()).add(constraint.getTarget()); |
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// } |
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// |
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// |
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// // update the internal distance graph |
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// for (TimePoint reference : p2p.keySet()) { |
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// for (TimePoint target : p2p.get(reference)) { |
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// |
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// // get constraint bounds |
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// long[] bounds = this.tn.getConstraintBounds(reference, target); |
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// // check if bound exists |
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// if (bounds != null) { |
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// // add/replace the associated edge of the distance graph |
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// this.dg.add(reference, target, bounds[1]); |
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// this.dg.add(target, reference, -bounds[0]); |
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// } |
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// } |
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// } |
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// |
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// // set propagate flag |
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// this.toPropagate = true; |
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// } |
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// break; |
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// temporal constraint deleted |
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// case DEL_REL: { |
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// |
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// // handle request |
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// DelRelationTemporalNetworkNotification notif = (DelRelationTemporalNetworkNotification) info; |
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// // check pairs of involved time points |
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// Map<TimePoint, Set<TimePoint>> p2p= new HashMap<>(); |
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// for (TimePointDistanceConstraint constraint : notif.getRels()) { |
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// // check time points |
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// if (!p2p.containsKey(constraint.getReference())) { |
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// p2p.put(constraint.getReference(), new HashSet<>()); |
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// } |
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// |
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// // add pair |
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// p2p.get(constraint.getReference()).add(constraint.getTarget()); |
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// } |
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// |
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// |
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// // update the internal distance graph |
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// for (TimePoint reference : p2p.keySet()) { |
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// for (TimePoint target : p2p.get(reference)) { |
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// |
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// // get constraint bounds |
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// long[] bounds = this.tn.getConstraintBounds(reference, target); |
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// // check if bound exists |
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// if (bounds != null) { |
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// // add/replace the associated edge of the distance graph |
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// this.dg.add(reference, target, bounds[1]); |
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// this.dg.add(target, reference, -bounds[0]); |
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// } |
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// } |
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// } |
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// |
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// // set propagate flag |
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// this.toPropagate = true; |
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// } |
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// break; |
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// time point deleted |
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case INITIALIZATION : |
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case ADD_TP : |
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case ADD_REL : |
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case DEL_REL : |
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case DEL_TP : { |
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// handle request |
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// DelTimePointTemporalNetworkNotification notif = (DelTimePointTemporalNetworkNotification) info; |
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// delete time points |
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// for (TimePoint point : notif.getPoints()) { |
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// // delete node from the distance graph |
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// this.dg.delete(point); |
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// } |
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// |
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// recompute dependency graph distance bounds |
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this.dg(); |
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// set to propagate flag |
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this.toPropagate = true; |
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} |
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break; |
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// time point added |
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// case ADD_TP: { |
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// |
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// // handle request |
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// AddTimePointTemporalNetworkNotification notif = (AddTimePointTemporalNetworkNotification) info; |
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// // get added time points |
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// for (TimePoint point : notif.getPoints()) { |
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// // add the point to the distance graph |
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// this.dg.add(point); |
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// } |
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// |
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// |
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// // it is not necessary to update information yet |
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// this.toPropagate = true; |
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// } |
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// break; |
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// other |
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default: { |
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throw new RuntimeException("[" + this.getClass().getName() + "]: Unknown notification received type= " + info.getType()); |
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} |
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} |
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} |
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/** |
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* |
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* @return |
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*/ |
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public DistanceGraph getDistanceGraph() { |
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// get the distance graph |
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return this.dg; |
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} |
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/** |
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* |
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*/ |
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@Override |
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public String toString() { |
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// check if to propagate |
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if (this.toPropagate) { |
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this.compute(); |
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} |
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// print distance matrix |
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String matrix = "Distance matrix (Computed by Floyd-Warshall Algorithm)\n"; |
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if (this.toPropagate) { |
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// not update distance information |
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matrix += "Not Updated Distance Information"; |
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} else { |
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for (TimePoint i : this.dg.getPoints()) { |
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for (TimePoint j : this.dg.getPoints()) { |
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matrix += "\t" + this.distance.get(i).get(j); |
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} |
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matrix += "\n"; |
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} |
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} |
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// get description of the distance matrix |
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return matrix; |
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} |
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/** |
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* Returns the number of temporal propagation actually done |
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* Only for testing purposes |
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* |
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* @return |
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*/ |
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public int getPropagationCounter() { |
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return propagationCounter; |
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} |
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/** |
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* |
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*/ |
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@Override |
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public void process(TimePointQuery query) { |
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// check query type |
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switch (query.getType()) { |
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// handle time point bound query |
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case TP_SCHEDULE : { |
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// get query |
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TimePointScheduleQuery tpBoundQuery = (TimePointScheduleQuery) query; |
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// get time point |
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TimePoint point = tpBoundQuery.getTimePoint(); |
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// get distance between the origin and the time point |
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long[] distance = this.getDistance(this.tn.getOriginTimePoint(), point); |
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// set information |
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point.setLowerBound(distance[0]); |
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point.setUpperBound(distance[1]); |
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} |
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break; |
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// handle time point distance query |
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case TP_DISTANCE : { |
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// get query |
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TimePointDistanceQuery tpDistanceQuery = (TimePointDistanceQuery) query; |
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// get source point |
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TimePoint source = tpDistanceQuery.getSource(); |
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// get target point |
|
333
|
|
|
TimePoint target = tpDistanceQuery.getTarget(); |
|
334
|
|
|
// get distance between points |
|
335
|
|
|
long[] distance = this.getDistance(source, target); |
|
|
|
|
|
|
336
|
|
|
// set information |
|
337
|
|
|
tpDistanceQuery.setDistanceLowerBound(distance[0]); |
|
338
|
|
|
tpDistanceQuery.setDistanceUpperBound(distance[1]); |
|
339
|
|
|
} |
|
340
|
|
|
break; |
|
341
|
|
|
|
|
342
|
|
|
// handle time point distance from origin query |
|
343
|
|
|
case TP_DISTANCE_FROM_ORIGIN : { |
|
344
|
|
|
|
|
345
|
|
|
// get query |
|
346
|
|
|
TimePointDistanceFromOriginQuery tpDistanceQuery = (TimePointDistanceFromOriginQuery) query; |
|
347
|
|
|
// get time point |
|
348
|
|
|
TimePoint tp = tpDistanceQuery.getTimePoint(); |
|
349
|
|
|
// get distance to horizon |
|
350
|
|
|
long[] distance = this.getDistance(this.tn.getOriginTimePoint(), tp); |
|
|
|
|
|
|
351
|
|
|
// set information |
|
352
|
|
|
tpDistanceQuery.setDistance(distance); |
|
353
|
|
|
} |
|
354
|
|
|
break; |
|
355
|
|
|
|
|
356
|
|
|
// handle time point distance to horizon query |
|
357
|
|
|
case TP_DISTANCE_TO_HORIZON : { |
|
358
|
|
|
|
|
359
|
|
|
// get query |
|
360
|
|
|
TimePointDistanceToHorizonQuery tpDistanceQuery = (TimePointDistanceToHorizonQuery) query; |
|
361
|
|
|
// get time point |
|
362
|
|
|
TimePoint tp = tpDistanceQuery.getTimePoint(); |
|
363
|
|
|
// get distance to horizon |
|
364
|
|
|
long[] distance = this.getDistance(tp, this.tn.getHorizonTimePoint()); |
|
|
|
|
|
|
365
|
|
|
// set information |
|
366
|
|
|
tpDistanceQuery.setDistance(distance); |
|
367
|
|
|
} |
|
368
|
|
|
break; |
|
369
|
|
|
|
|
370
|
|
|
default : { |
|
371
|
|
|
|
|
372
|
|
|
// not a time point query |
|
373
|
|
|
throw new RuntimeException("Impossible to process this type of temporal query " + query.getType()); |
|
|
|
|
|
|
374
|
|
|
} |
|
375
|
|
|
} |
|
376
|
|
|
} |
|
377
|
|
|
|
|
378
|
|
|
/** |
|
379
|
|
|
* Returns distance lower and upper bounds of Time Point |
|
380
|
|
|
* tp1 to Time Point tp2 |
|
381
|
|
|
* |
|
382
|
|
|
* @param tp1 |
|
383
|
|
|
* @param tp2 |
|
384
|
|
|
* @return |
|
385
|
|
|
*/ |
|
386
|
|
|
protected long[] getDistance(TimePoint tp1, TimePoint tp2) { |
|
387
|
|
|
|
|
388
|
|
|
// compute minimal minimal network if needed |
|
389
|
|
|
if (this.toPropagate) { |
|
390
|
|
|
// clean distance matrix's data |
|
391
|
|
|
this.compute(); |
|
392
|
|
|
} |
|
393
|
|
|
|
|
394
|
|
|
// default distance bounds - total uncertainty |
|
395
|
|
|
long[] bounds = new long[] { |
|
396
|
|
|
0, |
|
397
|
|
|
this.tn.getHorizon() |
|
398
|
|
|
}; |
|
399
|
|
|
|
|
400
|
|
|
// check if both time points exists |
|
401
|
|
|
if (this.distance.containsKey(tp1) && this.distance.get(tp1).containsKey(tp2)) { |
|
402
|
|
|
// set bounds |
|
403
|
|
|
bounds = new long[] { |
|
404
|
|
|
-this.distance.get(tp2).get(tp1), // lower bound |
|
405
|
|
|
this.distance.get(tp1).get(tp2) // upper bound |
|
406
|
|
|
}; |
|
407
|
|
|
} |
|
408
|
|
|
|
|
409
|
|
|
// get bounds |
|
410
|
|
|
return bounds; |
|
411
|
|
|
} |
|
412
|
|
|
|
|
413
|
|
|
/** |
|
414
|
|
|
* |
|
415
|
|
|
*/ |
|
416
|
|
|
private void compute() { |
|
417
|
|
|
|
|
418
|
|
|
// check size of the distance graph |
|
419
|
|
|
this.distance = new HashMap<TimePoint, Map<TimePoint, Long>>(); |
|
420
|
|
|
// initialize distances to infinity |
|
421
|
|
|
for (TimePoint i : this.dg.getPoints()) { |
|
422
|
|
|
|
|
423
|
|
|
this.distance.put(i, new HashMap<TimePoint, Long>()); |
|
424
|
|
|
for (TimePoint j : this.dg.getPoints()) { |
|
425
|
|
|
|
|
426
|
|
|
// initialize |
|
427
|
|
|
if (i.equals(j)) { |
|
428
|
|
|
|
|
429
|
|
|
this.distance.get(i).put(j, 0l); |
|
430
|
|
|
|
|
431
|
|
|
} else { |
|
432
|
|
|
|
|
433
|
|
|
this.distance.get(i).put(j, this.dg.getInfity()); |
|
434
|
|
|
} |
|
435
|
|
|
} |
|
436
|
|
|
} |
|
437
|
|
|
|
|
438
|
|
|
// initialize distances using the weights of the distance graph's edges |
|
439
|
|
|
for (TimePoint point : this.dg.getPoints()) { |
|
440
|
|
|
|
|
441
|
|
|
// get adjacent points |
|
442
|
|
|
for (TimePoint adj : this.dg.getAdjacents(point)) { |
|
443
|
|
|
// get distance |
|
444
|
|
|
long distance = this.dg.getDistance(point, adj); |
|
|
|
|
|
|
445
|
|
|
// set distance |
|
446
|
|
|
this.distance.get(point).put(adj, distance); |
|
447
|
|
|
} |
|
448
|
|
|
} |
|
449
|
|
|
|
|
450
|
|
|
// compute minimum distances - k intermediate node |
|
451
|
|
|
for (TimePoint k : this.dg.getPoints()) { |
|
452
|
|
|
// compute shortest paths using intermediate points |
|
453
|
|
|
for (TimePoint i : this.dg.getPoints()) { |
|
454
|
|
|
for (TimePoint j : this.dg.getPoints()) { |
|
455
|
|
|
|
|
456
|
|
|
// compute the path from i to j through k |
|
457
|
|
|
long path = this.distance.get(i).get(k) + this.distance.get(k).get(j); |
|
458
|
|
|
// compare computed distance with the direct path |
|
459
|
|
|
if (this.distance.get(i).get(j) > path) { |
|
460
|
|
|
|
|
461
|
|
|
// update distance |
|
462
|
|
|
this.distance.get(i).put(j, path); |
|
463
|
|
|
} |
|
464
|
|
|
} |
|
465
|
|
|
} |
|
466
|
|
|
} |
|
467
|
|
|
|
|
468
|
|
|
// update propagation counter |
|
469
|
|
|
this.propagationCounter++; |
|
470
|
|
|
// set propagation flag |
|
471
|
|
|
this.toPropagate = false; |
|
472
|
|
|
} |
|
473
|
|
|
|
|
474
|
|
|
/** |
|
475
|
|
|
* |
|
476
|
|
|
*/ |
|
477
|
|
|
@Override |
|
478
|
|
|
public void printDiagnosticData() { |
|
479
|
|
|
// compute if temporal data |
|
480
|
|
|
if (this.toPropagate) { |
|
481
|
|
|
this.compute(); |
|
482
|
|
|
} |
|
483
|
|
|
|
|
484
|
|
|
System.out.println("Distance Graph:\n" |
|
485
|
|
|
+ "" + this.dg + "\n\n" |
|
486
|
|
|
+ "Distance matrix:\n" |
|
487
|
|
|
+ "" + this + "\n"); |
|
488
|
|
|
} |
|
489
|
|
|
} |
|
490
|
|
|
|