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| 1 | +/* |
| 2 | + * Copyright (c) "Neo4j" |
| 3 | + * Neo4j Sweden AB [http://neo4j.com] |
| 4 | + * |
| 5 | + * This file is part of Neo4j. |
| 6 | + * |
| 7 | + * Neo4j is free software: you can redistribute it and/or modify |
| 8 | + * it under the terms of the GNU General Public License as published by |
| 9 | + * the Free Software Foundation, either version 3 of the License, or |
| 10 | + * (at your option) any later version. |
| 11 | + * |
| 12 | + * This program is distributed in the hope that it will be useful, |
| 13 | + * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 14 | + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 15 | + * GNU General Public License for more details. |
| 16 | + * |
| 17 | + * You should have received a copy of the GNU General Public License |
| 18 | + * along with this program. If not, see <http://www.gnu.org/licenses/>. |
| 19 | + */ |
| 20 | +package org.neo4j.gds.hdbscan; |
| 21 | + |
| 22 | +import com.carrotsearch.hppc.BitSet; |
| 23 | +import org.neo4j.gds.Algorithm; |
| 24 | +import org.neo4j.gds.api.properties.nodes.NodePropertyValues; |
| 25 | +import org.neo4j.gds.collections.ha.HugeDoubleArray; |
| 26 | +import org.neo4j.gds.collections.ha.HugeObjectArray; |
| 27 | +import org.neo4j.gds.core.concurrency.Concurrency; |
| 28 | +import org.neo4j.gds.core.concurrency.ParallelUtil; |
| 29 | +import org.neo4j.gds.core.utils.Intersections; |
| 30 | +import org.neo4j.gds.core.utils.paged.dss.DisjointSetStruct; |
| 31 | +import org.neo4j.gds.core.utils.paged.dss.HugeAtomicDisjointSetStruct; |
| 32 | +import org.neo4j.gds.core.utils.progress.tasks.ProgressTracker; |
| 33 | + |
| 34 | +public class BoruvkaMST extends Algorithm<GeometricMSTResult> { |
| 35 | + |
| 36 | + private final NodePropertyValues nodePropertyValues; |
| 37 | + private final KdTree kdTree; |
| 38 | + private final BitSet kdNodeSingleComponent; |
| 39 | + private final ClosestDistanceInformationTracker closestDistanceTracker; |
| 40 | + private final HugeDoubleArray coreValues; |
| 41 | + |
| 42 | + private final DisjointSetStruct unionFind; |
| 43 | + private final long nodeCount; |
| 44 | + private final Concurrency concurrency; |
| 45 | + |
| 46 | + private final HugeObjectArray<Edge> edges; |
| 47 | + private long edgeCount = 0; |
| 48 | + private double totalEdgeSum = 0d; |
| 49 | + |
| 50 | + |
| 51 | + private BoruvkaMST( |
| 52 | + NodePropertyValues nodePropertyValues, |
| 53 | + KdTree kdTree, |
| 54 | + ClosestDistanceInformationTracker closestDistanceTracker, |
| 55 | + HugeDoubleArray coreValues, |
| 56 | + long nodeCount, Concurrency concurrency |
| 57 | + ) { |
| 58 | + super(ProgressTracker.NULL_TRACKER); |
| 59 | + this.nodePropertyValues = nodePropertyValues; |
| 60 | + this.closestDistanceTracker = closestDistanceTracker; |
| 61 | + this.kdTree = kdTree; |
| 62 | + this.kdNodeSingleComponent = new BitSet(kdTree.treeNodeCount()); |
| 63 | + |
| 64 | + this.coreValues = coreValues; |
| 65 | + //for now use existing tool |
| 66 | + this.unionFind = new HugeAtomicDisjointSetStruct(nodeCount, new Concurrency(1)); |
| 67 | + |
| 68 | + this.edges = HugeObjectArray.newArray(Edge.class, nodeCount - 1); |
| 69 | + this.nodeCount = nodeCount; |
| 70 | + this.concurrency = concurrency; |
| 71 | + } |
| 72 | + |
| 73 | + |
| 74 | + public static BoruvkaMST createWithZeroCores( |
| 75 | + NodePropertyValues nodePropertyValues, |
| 76 | + KdTree kdTree, |
| 77 | + long nodeCount, |
| 78 | + Concurrency concurrency |
| 79 | + ) { |
| 80 | + var zeroCores = HugeDoubleArray.newArray(nodeCount); |
| 81 | + |
| 82 | + return new BoruvkaMST( |
| 83 | + nodePropertyValues, |
| 84 | + kdTree, |
| 85 | + ClosestDistanceInformationTracker.create(nodeCount), |
| 86 | + zeroCores, |
| 87 | + nodeCount, |
| 88 | + concurrency |
| 89 | + ); |
| 90 | + } |
| 91 | + |
| 92 | + public static BoruvkaMST create( |
| 93 | + NodePropertyValues nodePropertyValues, |
| 94 | + KdTree kdTree, |
| 95 | + CoreResult coreResult, |
| 96 | + long nodeCount, |
| 97 | + Concurrency concurrency |
| 98 | + ) { |
| 99 | + var cores = coreResult.createCoreArray(); |
| 100 | + var closestTracker = ClosestDistanceInformationTracker.create(nodeCount, cores, coreResult); |
| 101 | + |
| 102 | + return new BoruvkaMST(nodePropertyValues, kdTree, closestTracker, cores, nodeCount,concurrency); |
| 103 | + } |
| 104 | + |
| 105 | + |
| 106 | + @Override |
| 107 | + public GeometricMSTResult compute() { |
| 108 | + var kdRoot = kdTree.root(); |
| 109 | + var rootId = kdRoot.id(); |
| 110 | + while (!kdNodeSingleComponent.get(rootId)) { |
| 111 | + performIteration(); |
| 112 | + } |
| 113 | + return new GeometricMSTResult(edges, totalEdgeSum); |
| 114 | + } |
| 115 | + |
| 116 | + private void performIteration() { |
| 117 | + if (closestDistanceTracker.isNotUpdated()) { |
| 118 | + |
| 119 | + ParallelUtil.parallelForEachNode( |
| 120 | + nodeCount, concurrency, terminationFlag, |
| 121 | + (q) -> { |
| 122 | + var qArray = nodePropertyValues.doubleArrayValue(q); |
| 123 | + var qComp = unionFind.setIdOf(q); |
| 124 | + traversalStep(q,kdTree.root(),qComp,0,qArray); |
| 125 | + } |
| 126 | + ); |
| 127 | + } |
| 128 | + |
| 129 | + mergeComponents(); |
| 130 | + //reset bounds |
| 131 | + // TODO: find the component id to reset up to? |
| 132 | + closestDistanceTracker.reset(unionFind.size()); |
| 133 | + updateSingleComponent(kdTree.root()); |
| 134 | + } |
| 135 | + |
| 136 | + private boolean filterNodesOnCoreValue(long node, long component) { |
| 137 | + return coreValues.get(node) < closestDistanceTracker.componentClosestDistance(component); |
| 138 | + } |
| 139 | + |
| 140 | + boolean prune(KdNode kdNode, long componentId, double lowerBoundOnDistance){ |
| 141 | + var nodeComponent = singleComponentOr(kdNode,-1); |
| 142 | + if (nodeComponent == componentId) return true; |
| 143 | + var currentComponentBest = closestDistanceTracker.componentClosestDistance(componentId); |
| 144 | + return currentComponentBest < lowerBoundOnDistance; |
| 145 | + } |
| 146 | + |
| 147 | + boolean tryUpdate(long qComp, long q,long r, double distance){ |
| 148 | + return closestDistanceTracker.tryToAssign(qComp,q,r,distance); |
| 149 | + } |
| 150 | + |
| 151 | + double baseCase(long q,long r, double[] qArray, long qComp){ |
| 152 | + var rComp = unionFind.setIdOf(r); |
| 153 | + if (rComp != qComp && filterNodesOnCoreValue(r, qComp)) { |
| 154 | + var rArray = nodePropertyValues.doubleArrayValue(r); |
| 155 | + var rqDistance = Intersections.sumSquareDelta(qArray, rArray); |
| 156 | + var adaptedDistance = Math.max(Math.max(coreValues.get(r), coreValues.get(q)), rqDistance); |
| 157 | + if (tryUpdate(qComp,q,r,adaptedDistance)){ |
| 158 | + return adaptedDistance; |
| 159 | + } |
| 160 | + } |
| 161 | + return -1; |
| 162 | + } |
| 163 | + |
| 164 | + void traversalStep(long q, KdNode kdNode, long qComp, double lowerBoundOnDistance,double[] qArray){ |
| 165 | + if (!prune(kdNode,qComp,lowerBoundOnDistance)) { |
| 166 | + if (kdNode.isLeaf()) { |
| 167 | + var start = kdNode.start(); |
| 168 | + var end = kdNode.end(); |
| 169 | + for (long index = start; index < end; ++index) { |
| 170 | + baseCase(q,kdTree.nodeAt(index),qArray,qComp); |
| 171 | + } |
| 172 | + }else{ |
| 173 | + var left = kdTree.leftChild(kdNode); |
| 174 | + var right = kdTree.rightChild(kdNode); |
| 175 | + var lowerBoundLeft = left.aabb().lowerBoundFor(qArray); |
| 176 | + lowerBoundLeft*=lowerBoundLeft; |
| 177 | + var lowerBoundRight = right.aabb().lowerBoundFor(qArray); |
| 178 | + lowerBoundRight*=lowerBoundRight; |
| 179 | + |
| 180 | + if (lowerBoundRight < lowerBoundLeft){ |
| 181 | + traversalStep(q,right,qComp,lowerBoundRight,qArray); |
| 182 | + traversalStep(q,left,qComp,lowerBoundLeft,qArray); |
| 183 | + }else{ |
| 184 | + traversalStep(q,left,qComp,lowerBoundLeft,qArray); |
| 185 | + traversalStep(q,right,qComp,lowerBoundRight,qArray); |
| 186 | + } |
| 187 | + } |
| 188 | + } |
| 189 | + |
| 190 | + } |
| 191 | + |
| 192 | + long singleComponentOr(KdNode node, long or) { |
| 193 | + long id = node.id(); |
| 194 | + if (!kdNodeSingleComponent.get(id)) return or; //this is a trick to return distinct id |
| 195 | + return unionFind.setIdOf(kdTree.nodeAt(node.start())); |
| 196 | + |
| 197 | + } |
| 198 | + |
| 199 | + void mergeComponents() { |
| 200 | + for (var componentId = 0; componentId < nodeCount; componentId++) { |
| 201 | + var u = closestDistanceTracker.componentInsideBestNode(componentId); |
| 202 | + var v = closestDistanceTracker.componentOutsideBestNode(componentId); |
| 203 | + if (u == -1 || v == -1) { |
| 204 | + continue; |
| 205 | + } |
| 206 | + |
| 207 | + var uComponent = unionFind.setIdOf(u); |
| 208 | + var vComponent = unionFind.setIdOf(v); |
| 209 | + |
| 210 | + if (uComponent == vComponent) { |
| 211 | + closestDistanceTracker.resetComponent(componentId); |
| 212 | + continue; |
| 213 | + } |
| 214 | + |
| 215 | + var distance = Math.sqrt(closestDistanceTracker.componentClosestDistance(componentId)); |
| 216 | + this.edges.set( |
| 217 | + edgeCount, |
| 218 | + new Edge(u, v, distance) |
| 219 | + ); |
| 220 | + this.edgeCount++; |
| 221 | + this.totalEdgeSum += distance; |
| 222 | + |
| 223 | + unionFind.union(uComponent, vComponent); |
| 224 | + } |
| 225 | + |
| 226 | + } |
| 227 | + |
| 228 | + boolean updateSingleComponent(KdNode node) { |
| 229 | + long id = node.id(); |
| 230 | + if (kdNodeSingleComponent.get(id)) { |
| 231 | + return true; |
| 232 | + } |
| 233 | + if (node.isLeaf()) { |
| 234 | + var start = node.start(); |
| 235 | + var end = node.end(); |
| 236 | + long expected = unionFind.setIdOf(kdTree.nodeAt(start)); |
| 237 | + |
| 238 | + boolean isSingle = true; |
| 239 | + for (var ptr = start + 1; ptr < end; ++ptr) { |
| 240 | + if (unionFind.setIdOf(kdTree.nodeAt(ptr)) != expected) { |
| 241 | + isSingle = false; |
| 242 | + break; |
| 243 | + } |
| 244 | + } |
| 245 | + if (isSingle) { |
| 246 | + kdNodeSingleComponent.set(id); |
| 247 | + } |
| 248 | + return isSingle; |
| 249 | + } else { |
| 250 | + var left = kdTree.leftChild(node); |
| 251 | + var right = kdTree.rightChild(node); |
| 252 | + if (updateSingleComponent(left) && updateSingleComponent(right)) { |
| 253 | + var singleLeft = singleComponentOr(left, -1); |
| 254 | + var singleRight = singleComponentOr(right, -2); |
| 255 | + boolean isSingle = singleRight == singleLeft; |
| 256 | + if (isSingle) { |
| 257 | + kdNodeSingleComponent.set(id); |
| 258 | + } |
| 259 | + return isSingle; |
| 260 | + } |
| 261 | + return false; |
| 262 | + |
| 263 | + } |
| 264 | + } |
| 265 | + |
| 266 | + void mergeComponents(long comp0, long comp1) { |
| 267 | + unionFind.union(comp0, comp1); |
| 268 | + } |
| 269 | + |
| 270 | +} |
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