//:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** @author Usman Nisar, Aravind Kalimurthy, John Miller * @version 1.6 * @date Tue Dec 20 15:10:55 EST 2016 * @see LICENSE (MIT style license file). * * @see www2012.wwwconference.org/proceedings/proceedings/p949.pdf * * `MGraph` Graph Simulation CAR Using Mutable Sets */ package scalation.graph_db package pattern_matching import scala.collection.mutable.Map import scala.collection.mutable.{Set => SET} import scala.reflect.ClassTag import scalation.util.{banner, MultiSet, Wildcard} import LabelFunctions._ //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCAR` class provides an implementation for Simple Graph Simulation. * @param g the data graph G(V, E, l) * @param q the query graph Q(U, D, k) */ class MGraphSimCAR [TLabel: ClassTag] (g: MGraph [TLabel], q: MGraph [TLabel]) extends GraphMatcher [TLabel] (g, q) { /** The DEBUG flag */ private val DEBUG = false /** The Child labels for the query graph */ private val cLabel = Array.ofDim [MultiSet [TLabel]] (q.size) for (u <- cLabel.indices) cLabel(u) = qChildLabels (q, u) //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** Given the mappings 'phi' produced by the 'feasibleMates' method, * prune mappings 'u -> v' where v's children fail to match u's. * @param phi array of mappings from a query vertex u to { graph vertices v } */ def prune (phi: Array [SET [Int]]): Array [SET [Int]] = { var alter = true while (alter) { // check for matching children alter = false // loop over query vertices u and data vertices v in phi(u) - child match for (u <- qRange; v <- phi(u)) { val chu = cLabel(u) // child label of u val chv = gChildLabels (g, v, u, q.ch(u), phi) // labels of children of phi(u) val cMatch = chu ⊆ chv // child match for query graph val v_rem = SET [Int] () // vertices to be removed for (u_c <- q.ch(u); v_c <- g.ch(v)) { val elab_u2u_c = q.elabel (u, u_c) // edge label in q for (u, u_c) val phi_u_c = phi(u_c) // val v_c = g.ch(v) // don't filter on edge labels val v_c = g.ch(v).filter (g.elabel (v, _) == elab_u2u_c) // filter on edge labels if (disjoint (v_c, phi_u_c)) { // v must have a child in phi(u_c) v_rem += v // add to removal set alter = true } // if } // for if (DEBUG) println (s"u = $u, v = $v, chu = $chu, chv = $chv, cMatch = $cMatch") if (!cMatch) { phi(u) -= v // remove v due to lack of child match alter = true } // if if (! v_rem.isEmpty) { if (DEBUG) println (s"v_rem = $v_rem from phi($u)") phi(u) --= v_rem // remove vertices in v_rem from phi(u) v_rem.clear () if (phi(u).isEmpty) return phi // no match for vertex u => no overall match } // if } // for } // while phi } // prune } // MGraphSimCAR class import scalation.graph_db.{ExampleMGraphS => EX_GRAPH} //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCARTest` object is used to test the `MGraphSimCAR` class. * This object tests the data graph g1 and query graph q1. * > runMain scalation.graph_db.pattern_matching.MGraphSimCARTest */ object MGraphSimCARTest extends App { val (g, q) = (EX_GRAPH.g1, EX_GRAPH.q1) println (s"g.checkEdges = ${g.checkEdges}") g.printG () println (s"q.checkEdges = ${q.checkEdges}") q.printG () (new MGraphSimCAR (g, q)).test ("MGraphSimCAR") // Graph Simulation Pattern Matcher } // MGraphSimCARTest object //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCARTest2` object is used to test the `MGraphSimCAR` class. * This object tests the data graph g2 and query graph q2. * > runMain scalation.graph_db.pattern_matching.MGraphSimCARTest2 */ object MGraphSimCARTest2 extends App { val (g, q) = (EX_GRAPH.g2, EX_GRAPH.q2) println (s"g.checkEdges = ${g.checkEdges}") g.printG () println (s"q.checkEdges = ${q.checkEdges}") q.printG () (new MGraphSimCAR (g, q)).test ("MGraphSimCAR") // Graph Simulation Pattern Matcher } // MGraphSimCARTest2 object //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCARTest3` object is used to test the `MGraphSimCAR` class. * This object tests the data graph g3 and query graph q3. * > runMain scalation.graph_db.pattern_matching.MGraphSimCARTest3 */ object MGraphSimCARTest3 extends App { val (g, q) = (EX_GRAPH.g3, EX_GRAPH.q3) println (s"g.checkEdges = ${g.checkEdges}") g.printG () println (s"q.checkEdges = ${q.checkEdges}") q.printG () (new MGraphSimCAR (g, q)).test ("MGraphSimCAR") // Graph Simulation Pattern Matcher } // MGraphSimCARTest3 object //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCARTest4` object is used to test the `MGraphSimCAR` class. * This object tests randomly (uniform) generated graphs. * > runMain scalation.graph_db.pattern_matching.MGraphSimCARTest4 */ object MGraphSimCARTest4 extends App { val (g, q) = MGraphGen.genGraphs ("0.0") banner ("data graph") println (s"g.checkEdges = ${g.checkEdges}") g.printG () println (GraphMetrics.stats (g)) banner ("query graph") println (s"q.checkEdges = ${q.checkEdges}") q.printG () println (GraphMetrics.stats (q)) (new MGraphSimCAR (g, q)).test ("MGraphSimCAR") // Graph Simulation Pattern Matcher } // MGraphSimCARTest4 object //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCARTest5` object is used to test the `MGraphSimCAR` class. * This object tests randomly (PowerLaw) generated graphs. * > runMain scalation.graph_db.pattern_matching.MGraphSimCARTest5 */ object MGraphSimCARTest5 extends App { val (g, q) = MGraphGen.genPowerGraphs ("0.0") banner ("data graph") println (s"g.checkEdges = ${g.checkEdges}") g.printG () println (GraphMetrics.stats (g)) banner ("query graph") println (s"q.checkEdges = ${q.checkEdges}") q.printG () println (GraphMetrics.stats (q)) (new MGraphSimCAR (g, q)).test ("MGraphSimCAR") // Graph Simulation Pattern Matcher } // MGraphSimCARTest5 object //:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: /** The `MGraphSimCARTest6` object is used to test the `MGraphSimCAR` class. * This object tests graphs read from files. * > runMain scalation.graph_db.pattern_matching.MGraphSimCARTest6 */ object MGraphSimCARTest6 extends App { val (g, q) = (MGraphIO [Double] ("gfile"), MGraphIO [Double] ("qfile")) banner ("data graph") println (s"g.checkEdges = ${g.checkEdges}") g.printG () println (GraphMetrics.stats (g)) banner ("query graph") println (s"q.checkEdges = ${q.checkEdges}") q.printG () println (GraphMetrics.stats (q)) (new MGraphSimCAR (g, q)).test ("MGraphSimCAR") // Graph Simulation Pattern Matcher } // MGraphSimCARTest6 object