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1 package org.simantics.scl.compiler.elaboration.query.compilation;
2
3 import gnu.trove.map.hash.TLongObjectHashMap;
4 import gnu.trove.procedure.TLongObjectProcedure;
5
6 import java.util.ArrayList;
7 import java.util.Collections;
8
9 public class DynamicProgrammingOrdering {
10     final ConstraintCollectionContext collectionContext;
11     int variableCount;
12     final QueryConstraint[] constraints;
13     TLongObjectHashMap<Entry> entries = new TLongObjectHashMap<Entry>(); 
14     
15     private static class Path {
16         public final QueryConstraint constraint;
17         public final Path prev;
18         
19         public Path(QueryConstraint constraint, Path prev) {
20             this.constraint = constraint;
21             this.prev = prev;
22         }
23
24         public void updateOrder(QueryConstraint[] constraints) {
25             Path path = this;
26             for(int i=constraints.length-1;i>=0;--i,path=path.prev)
27                 constraints[i] = path.constraint;
28         }
29     }
30     
31     private static class Entry {
32         double branching;
33         double cost;
34         Path path;
35         long variables;
36         
37         public Entry(double branching, double cost, Path path, long variables) {
38             this.branching = branching;
39             this.cost = cost;
40             this.path = path;
41             this.variables = variables;
42         }
43     }
44     
45     private DynamicProgrammingOrdering(ConstraintCollectionContext collectionContext,
46             QueryConstraint[] constraints) {
47         this.collectionContext = collectionContext;
48         this.constraints = constraints;
49         
50         //for(QueryConstraint constraint : constraints)
51         //    System.out.println(constraint);
52         
53         int maxVariable = -1;
54         for(QueryConstraint constraint : constraints)
55             for(int v : constraint.variables)
56                 maxVariable = Math.max(maxVariable, v);
57         this.variableCount = maxVariable + 1;
58     }
59     
60     private void run(long initialVariableBindings) throws UnsolvableQueryException {
61         entries.put(0L, new Entry(1.0, 0.0, null, initialVariableBindings));
62         for(int i=0;i<constraints.length;++i)
63             nextEntries();
64         
65         Entry entry = entries.valueCollection().iterator().next();
66         if(entry.path != null)
67             entry.path.updateOrder(constraints);
68         updateFinalBoundVariables(initialVariableBindings);
69         //System.out.println("cost = " + entry.cost);
70         //System.out.println("branching = " + entry.branching);
71     }
72     
73     private void updateFinalBoundVariables(long boundVariables) {
74         for(QueryConstraint constraint : constraints) {
75             constraint.finalBoundVariables = boundVariables;
76             boundVariables |= constraint.getVariableMask();
77         }
78     }
79
80     private void nextEntries() throws UnsolvableQueryException {
81         TLongObjectHashMap<Entry> oldEntries = entries;
82         entries = new TLongObjectHashMap<Entry>();
83         oldEntries.forEachEntry(new TLongObjectProcedure<Entry>() {
84             @Override
85             public boolean execute(long constraintPattern, Entry entry) {
86                 double branching = entry.branching;
87                 double cost = entry.cost;
88                 Path path = entry.path;
89                 long variables = entry.variables;
90                 {
91                     // Try to find a nonbranching constraint
92                     double bestBranching = Double.POSITIVE_INFINITY;
93                     int bestConstraint = -1;
94                     for(int i=0;i<constraints.length;++i) {
95                         if( ((constraintPattern>>i)&1) == 0 ) {
96                             QueryConstraint constraint = constraints[i];
97                             double newBranching = constraint.getSolutionBranching(variables);
98                             if(newBranching < bestBranching) {
99                                 bestConstraint = i;
100                                 bestBranching = newBranching;
101                             }
102                         }
103                     }
104                     if(bestBranching <= 1.0) {
105                         QueryConstraint constraint = constraints[bestConstraint];
106                         long newConstraintPattern = constraintPattern | (1L << bestConstraint);
107                         double newBranching = constraint.getSolutionBranching(variables)*branching;
108                         double newCost = constraint.getSolutionCost(variables)*branching + cost;
109                         
110                         Entry newEntry = entries.get(newConstraintPattern);
111                         if(newEntry == null) {
112                             entries.put(newConstraintPattern,
113                                     new Entry(newBranching, newCost, new Path(constraint, path),
114                                             variables | constraint.getVariableMask()));
115                         }
116                         else {
117                             if(newBranching < newEntry.branching)
118                                 newEntry.branching = newBranching;
119                             if(newCost < newEntry.cost) {
120                                 newEntry.cost = newCost;
121                                 newEntry.path = new Path(constraint, path);
122                             }
123                         }
124                         return true;
125                     }
126                 }
127                 
128                 for(int i=0;i<constraints.length;++i) {
129                     if( ((constraintPattern>>i)&1) == 0 ) {
130                         QueryConstraint constraint = constraints[i];
131                         if(constraint.canBeSolvedFrom(variables)) {
132                             long newConstraintPattern = constraintPattern | (1L << i);
133                             double newBranching = constraint.getSolutionBranching(variables)*branching;
134                             double newCost = constraint.getSolutionCost(variables)*branching + cost;
135                             
136                             Entry newEntry = entries.get(newConstraintPattern);
137                             if(newEntry == null) {
138                                 entries.put(newConstraintPattern,
139                                         new Entry(newBranching, newCost, new Path(constraint, path),
140                                                 variables | constraint.getVariableMask()));
141                             }
142                             else {
143                                 if(newBranching < newEntry.branching)
144                                     newEntry.branching = newBranching;
145                                 if(newCost < newEntry.cost) {
146                                     newEntry.cost = newCost;
147                                     newEntry.path = new Path(constraint, path);
148                                 }
149                             }
150                         }
151                     }
152                 }
153                 return true;
154             }
155         });
156         if(entries.isEmpty()) {
157             Entry entry = oldEntries.valueCollection().iterator().next();
158             long variables = entry.variables;
159
160             ArrayList<String> variableNames = new ArrayList<String>(); 
161             for(int i=0;i<variableCount;++i)
162                 if( ((variables >> i)&1) == 0 )
163                     variableNames.add(collectionContext.variables.get(i).getName());
164             Collections.sort(variableNames);
165
166             StringBuilder b = new StringBuilder();
167             b.append("Unsolved variables: ");
168             for(int i=0;i<variableNames.size();++i) {
169                 if(i > 0)
170                     b.append(", ");
171                 b.append(variableNames.get(i));
172             }
173             
174             /*b.append("\nUnsolved constraints:");
175             for(QueryConstraint constraint : constraints)
176                 if(!constraint.canBeSolvedFrom(entry.variables))
177                     b.append("\n    ").append(constraint);
178             */
179             throw new UnsolvableQueryException(b.toString());
180         }
181     }
182
183     public static void order(ConstraintCollectionContext collectionContext,
184             QueryConstraint[] constraints, long initialVariableBindings) throws UnsolvableQueryException {
185         DynamicProgrammingOrdering algorithm = new DynamicProgrammingOrdering(collectionContext, constraints);
186         algorithm.run(initialVariableBindings);
187     }
188 }