From 04a89fec9b63819215c9a754e0d60cd1e5fb4a05 Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 12 Apr 2021 16:19:57 -0700 Subject: [PATCH 001/117] change edgetypes to numbers --- packages/core/core/src/BundleGraph.js | 211 +++++++++++++----- packages/core/core/src/Graph.js | 41 ++-- packages/core/core/src/RequestTracker.js | 194 ++++++++++++---- packages/core/core/src/applyRuntimes.js | 8 +- .../core/src/public/MutableBundleGraph.js | 14 +- packages/core/core/src/types.js | 2 +- packages/core/core/test/AssetGraph.test.js | 12 +- packages/core/core/test/Graph.test.js | 32 +-- 8 files changed, 374 insertions(+), 140 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index 26619c55b2f..a8a2b325893 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -29,16 +29,16 @@ import {getBundleGroupId, getPublicId} from './utils'; import Graph, {ALL_EDGE_TYPES, mapVisitor, type GraphOpts} from './Graph'; import Environment from './public/Environment'; -type BundleGraphEdgeTypes = +export const BundleGraphEdgeTypes = { // A lack of an edge type indicates to follow the edge while traversing // the bundle's contents, e.g. `bundle.traverse()` during packaging. - | null + null: 0, // Used for constant-time checks of presence of a dependency or asset in a bundle, // avoiding bundle traversal in cases like `isAssetInAncestors` - | 'contains' + contains: 1, // Connections between bundles and bundle groups, for quick traversal of the // bundle hierarchy. - | 'bundle' + bundle: 2, // When dependency -> asset: Indicates that the asset a dependency references // is contained in another bundle. // When dependency -> bundle: Indicates the bundle is necessary for any bundles @@ -48,10 +48,37 @@ type BundleGraphEdgeTypes = // This type prevents referenced assets from being traversed from dependencies // along the untyped edge, and enables traversal to referenced bundles that are // not directly connected to bundle group nodes. - | 'references' + references: 3, // Signals that the dependency is internally resolvable via the bundle's ancestry, // and that the bundle connected to the dependency is not necessary for the source bundle. - | 'internal_async'; + internal_async: 4, +}; + +type BundleGraphEdgeType = $Values; + +// type BundleGraphEdgeTypes = +// // A lack of an edge type indicates to follow the edge while traversing +// // the bundle's contents, e.g. `bundle.traverse()` during packaging. +// | null +// // Used for constant-time checks of presence of a dependency or asset in a bundle, +// // avoiding bundle traversal in cases like `isAssetInAncestors` +// | 'contains' +// // Connections between bundles and bundle groups, for quick traversal of the +// // bundle hierarchy. +// | 'bundle' +// // When dependency -> asset: Indicates that the asset a dependency references +// // is contained in another bundle. +// // When dependency -> bundle: Indicates the bundle is necessary for any bundles +// // with the dependency. +// // When bundle -> bundle: Indicates the target bundle is necessary for the +// // source bundle. +// // This type prevents referenced assets from being traversed from dependencies +// // along the untyped edge, and enables traversal to referenced bundles that are +// // not directly connected to bundle group nodes. +// | 'references' +// // Signals that the dependency is internally resolvable via the bundle's ancestry, +// // and that the bundle connected to the dependency is not necessary for the source bundle. +// | BundleGraphEdgeTypeIds.internal_async; type InternalSymbolResolution = {| asset: Asset, @@ -67,7 +94,7 @@ type InternalExportSymbolResolution = {| type SerializedBundleGraph = {| $$raw: true, - graph: GraphOpts, + graph: GraphOpts, bundleContentHashes: Map, assetPublicIds: Set, publicIdByAssetId: Map, @@ -95,7 +122,7 @@ export default class BundleGraph { // It needs to be exposed in BundlerRunner for now based on how applying runtimes works and the // BundlerRunner takes care of invalidating hashes when runtimes are applied, but this is not ideal. _bundleContentHashes: Map; - _graph: Graph; + _graph: Graph; constructor({ graph, @@ -103,7 +130,7 @@ export default class BundleGraph { assetPublicIds, bundleContentHashes, }: {| - graph: Graph, + graph: Graph, publicIdByAssetId: Map, assetPublicIds: Set, bundleContentHashes: Map, @@ -119,7 +146,7 @@ export default class BundleGraph { publicIdByAssetId: Map = new Map(), assetPublicIds: Set = new Set(), ): BundleGraph { - let graph = new Graph(); + let graph = new Graph(); let rootNode = assetGraph.getRootNode(); invariant(rootNode != null && rootNode.type === 'root'); @@ -152,14 +179,22 @@ export default class BundleGraph { for (let edge of assetGraph.getAllEdges()) { let fromIds; if (assetGroupIds.has(edge.from)) { - fromIds = [...assetGraph.inboundEdges.getEdges(edge.from, null)]; + fromIds = [ + ...assetGraph.inboundEdges.getEdges( + edge.from, + BundleGraphEdgeTypes.null, + ), + ]; } else { fromIds = [edge.from]; } for (let from of fromIds) { if (assetGroupIds.has(edge.to)) { - for (let to of assetGraph.outboundEdges.getEdges(edge.to, null)) { + for (let to of assetGraph.outboundEdges.getEdges( + edge.to, + BundleGraphEdgeTypes.null, + )) { graph.addEdge(from, to); } } else { @@ -220,7 +255,7 @@ export default class BundleGraph { } if (node.type === 'asset' || node.type === 'dependency') { - this._graph.addEdge(bundle.id, node.id, 'contains'); + this._graph.addEdge(bundle.id, node.id, BundleGraphEdgeTypes.contains); } if (node.type === 'dependency') { @@ -228,17 +263,25 @@ export default class BundleGraph { .getNodesConnectedFrom(node) .filter(node => node.type === 'bundle_group')) { invariant(bundleGroupNode.type === 'bundle_group'); - this._graph.addEdge(bundle.id, bundleGroupNode.id, 'bundle'); + this._graph.addEdge( + bundle.id, + bundleGroupNode.id, + BundleGraphEdgeTypes.bundle, + ); } // If the dependency references a target bundle, add a reference edge from // the source bundle to the dependency for easy traversal. if ( this._graph - .getNodesConnectedFrom(node, 'references') + .getNodesConnectedFrom(node, BundleGraphEdgeTypes.references) .some(node => node.type === 'bundle') ) { - this._graph.addEdge(bundle.id, node.id, 'references'); + this._graph.addEdge( + bundle.id, + node.id, + BundleGraphEdgeTypes.references, + ); } } }, nullthrows(this._graph.getNode(asset.id))); @@ -261,7 +304,11 @@ export default class BundleGraph { throw new Error('Expected an async dependency'); } - this._graph.addEdge(bundle.id, dependency.id, 'internal_async'); + this._graph.addEdge( + bundle.id, + dependency.id, + BundleGraphEdgeTypes.internal_async, + ); this.removeExternalDependency(bundle, dependency); } @@ -275,7 +322,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(getBundleGroupId(bundleGroup))), - 'bundle', + BundleGraphEdgeTypes.bundle, ) .filter(node => node.type === 'bundle') .map(node => { @@ -295,11 +342,15 @@ export default class BundleGraph { if ( bundle != null && - this._graph.hasEdge(bundle.id, depNode.id, 'internal_async') + this._graph.hasEdge( + bundle.id, + depNode.id, + BundleGraphEdgeTypes.internal_async, + ) ) { let referencedAssetNode = this._graph.getNodesConnectedFrom( depNode, - 'references', + BundleGraphEdgeTypes.references, )[0]; let resolved; @@ -356,7 +407,7 @@ export default class BundleGraph { let referenced = this._graph .getNodesConnectedFrom( nullthrows(this._graph.getNode(dependency.id)), - 'references', + BundleGraphEdgeTypes.references, ) .find(node => node.type === 'asset'); @@ -381,11 +432,13 @@ export default class BundleGraph { return; } - if (this._graph.hasEdge(bundle.id, node.id, 'contains')) { + if ( + this._graph.hasEdge(bundle.id, node.id, BundleGraphEdgeTypes.contains) + ) { this._graph.removeEdge( bundle.id, node.id, - 'contains', + BundleGraphEdgeTypes.contains, // Removing this contains edge should not orphan the connected node. This // is disabled for performance reasons as these edges are removed as part // of a traversal, and checking for orphans becomes quite expensive in @@ -414,8 +467,18 @@ export default class BundleGraph { if (node.type === 'dependency') { this.removeExternalDependency(bundle, node.value); - if (this._graph.hasEdge(bundle.id, node.id, 'references')) { - this._graph.removeEdge(bundle.id, node.id, 'references'); + if ( + this._graph.hasEdge( + bundle.id, + node.id, + BundleGraphEdgeTypes.references, + ) + ) { + this._graph.removeEdge( + bundle.id, + node.id, + BundleGraphEdgeTypes.references, + ); } } }, nullthrows(this._graph.getNode(asset.id))); @@ -435,7 +498,7 @@ export default class BundleGraph { let bundleGroupNodes = this._graph.getNodesConnectedTo( bundleNode, - 'bundle', + BundleGraphEdgeTypes.bundle, ); this._graph.removeNode(bundleNode); @@ -491,7 +554,13 @@ export default class BundleGraph { for (let bundleGroupNode of this._graph .getNodesConnectedFrom(nullthrows(this._graph.getNode(dependency.id))) .filter(node => node.type === 'bundle_group')) { - if (!this._graph.hasEdge(bundle.id, bundleGroupNode.id, 'bundle')) { + if ( + !this._graph.hasEdge( + bundle.id, + bundleGroupNode.id, + BundleGraphEdgeTypes.bundle, + ) + ) { continue; } @@ -510,10 +579,18 @@ export default class BundleGraph { inboundDependencies.every( dependency => !this.bundleHasDependency(bundle, dependency) || - this._graph.hasEdge(bundle.id, dependency.id, 'internal_async'), + this._graph.hasEdge( + bundle.id, + dependency.id, + BundleGraphEdgeTypes.internal_async, + ), ) ) { - this._graph.removeEdge(bundle.id, bundleGroupNode.id, 'bundle'); + this._graph.removeEdge( + bundle.id, + bundleGroupNode.id, + BundleGraphEdgeTypes.bundle, + ); } } } @@ -523,22 +600,30 @@ export default class BundleGraph { asset: Asset, bundle: Bundle, ): void { - this._graph.addEdge(dependency.id, asset.id, 'references'); - this._graph.addEdge(dependency.id, bundle.id, 'references'); + this._graph.addEdge( + dependency.id, + asset.id, + BundleGraphEdgeTypes.references, + ); + this._graph.addEdge( + dependency.id, + bundle.id, + BundleGraphEdgeTypes.references, + ); if (this._graph.hasEdge(dependency.id, asset.id)) { this._graph.removeEdge(dependency.id, asset.id); } } createBundleReference(from: Bundle, to: Bundle): void { - this._graph.addEdge(from.id, to.id, 'references'); + this._graph.addEdge(from.id, to.id, BundleGraphEdgeTypes.references); } findBundlesWithAsset(asset: Asset): Array { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(asset.id)), - 'contains', + BundleGraphEdgeTypes.contains, ) .filter(node => node.type === 'bundle') .map(node => { @@ -551,7 +636,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(dependency.id)), - 'contains', + BundleGraphEdgeTypes.contains, ) .filter(node => node.type === 'bundle') .map(node => { @@ -599,7 +684,7 @@ export default class BundleGraph { } }, depNode, - 'references', + BundleGraphEdgeTypes.references, ); } @@ -643,7 +728,7 @@ export default class BundleGraph { // referenced. let asyncInternalReferencingBundles = new Set( this._graph - .getNodesConnectedTo(assetNode, 'references') + .getNodesConnectedTo(assetNode, BundleGraphEdgeTypes.references) .filter(node => node.type === 'dependency') .map(node => { invariant(node.type === 'dependency'); @@ -651,7 +736,10 @@ export default class BundleGraph { }) .flatMap(dependencyNode => this._graph - .getNodesConnectedTo(dependencyNode, 'internal_async') + .getNodesConnectedTo( + dependencyNode, + BundleGraphEdgeTypes.internal_async, + ) .map(node => { invariant(node.type === 'bundle'); return node.value; @@ -754,7 +842,7 @@ export default class BundleGraph { // Get a list of parent bundle nodes pointing to the bundle group let parentBundleNodes = this._graph.getNodesConnectedTo( nullthrows(this._graph.getNode(getBundleGroupId(bundleGroup))), - 'bundle', + BundleGraphEdgeTypes.bundle, ); // Check that every parent bundle has a bundle group in its ancestry that contains the asset. @@ -791,7 +879,7 @@ export default class BundleGraph { } } }, - ['references', 'bundle'], + [BundleGraphEdgeTypes.references, BundleGraphEdgeTypes.bundle], ); return isReachable; @@ -843,7 +931,7 @@ export default class BundleGraph { actions.skipChildren(); } }, - ['references', 'bundle'], + [BundleGraphEdgeTypes.references, BundleGraphEdgeTypes.bundle], ); if (res != null) { @@ -868,7 +956,13 @@ export default class BundleGraph { } if (node.type === 'dependency' || node.type === 'asset') { - if (this._graph.hasEdge(bundle.id, node.id, 'contains')) { + if ( + this._graph.hasEdge( + bundle.id, + node.id, + BundleGraphEdgeTypes.contains, + ) + ) { return node; } } @@ -939,7 +1033,7 @@ export default class BundleGraph { node => (node.type === 'bundle' ? node.value : null), visit, startBundle ? nullthrows(this._graph.getNode(startBundle.id)) : null, - ['bundle', 'references'], + [BundleGraphEdgeTypes.bundle, BundleGraphEdgeTypes.references], ); } @@ -978,7 +1072,7 @@ export default class BundleGraph { referencingBundles.add(node.value); } }, - 'references', + BundleGraphEdgeTypes.references, ); return [...referencingBundles]; @@ -998,7 +1092,10 @@ export default class BundleGraph { getDirectParentBundleGroups(bundle: Bundle): Array { return this._graph - .getNodesConnectedTo(nullthrows(this._graph.getNode(bundle.id)), 'bundle') + .getNodesConnectedTo( + nullthrows(this._graph.getNode(bundle.id)), + BundleGraphEdgeTypes.bundle, + ) .filter(node => node.type === 'bundle_group') .map(node => { invariant(node.type === 'bundle_group'); @@ -1013,7 +1110,7 @@ export default class BundleGraph { ); for (let bundleNode of this._graph.getNodesConnectedFrom( bundleGroupNode, - 'bundle', + BundleGraphEdgeTypes.bundle, )) { invariant(bundleNode.type === 'bundle'); let bundle = bundleNode.value; @@ -1054,7 +1151,9 @@ export default class BundleGraph { // Shared bundles seem to depend on being used in the opposite order // they were added. // TODO: Should this be the case? - this._graph.getNodesConnectedFrom(node, 'references').reverse(), + this._graph + .getNodesConnectedFrom(node, BundleGraphEdgeTypes.references) + .reverse(), }); return [...referencedBundles]; @@ -1097,11 +1196,19 @@ export default class BundleGraph { } bundleHasAsset(bundle: Bundle, asset: Asset): boolean { - return this._graph.hasEdge(bundle.id, asset.id, 'contains'); + return this._graph.hasEdge( + bundle.id, + asset.id, + BundleGraphEdgeTypes.contains, + ); } bundleHasDependency(bundle: Bundle, dependency: Dependency): boolean { - return this._graph.hasEdge(bundle.id, dependency.id, 'contains'); + return this._graph.hasEdge( + bundle.id, + dependency.id, + BundleGraphEdgeTypes.contains, + ); } filteredTraverse( @@ -1409,13 +1516,15 @@ export default class BundleGraph { addBundleToBundleGroup(bundle: Bundle, bundleGroup: BundleGroup) { let bundleGroupId = getBundleGroupId(bundleGroup); - if (this._graph.hasEdge(bundleGroupId, bundle.id, 'bundle')) { + if ( + this._graph.hasEdge(bundleGroupId, bundle.id, BundleGraphEdgeTypes.bundle) + ) { // Bundle group already has bundle return; } this._graph.addEdge(bundleGroupId, bundle.id); - this._graph.addEdge(bundleGroupId, bundle.id, 'bundle'); + this._graph.addEdge(bundleGroupId, bundle.id, BundleGraphEdgeTypes.bundle); for (let entryAssetId of bundle.entryAssetIds) { if (this._graph.hasEdge(bundleGroupId, entryAssetId)) { @@ -1476,7 +1585,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(getBundleGroupId(bundleGroup))), - 'bundle', + BundleGraphEdgeTypes.bundle, ) .some(n => n.type === 'root'); } diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 68bfc48beb7..91263822de3 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -6,21 +6,22 @@ import type {TraversalActions, GraphVisitor} from '@parcel/types'; import assert from 'assert'; import nullthrows from 'nullthrows'; -export type GraphOpts = {| +type NullEdgeType = 0; +export type GraphOpts = {| nodes?: Map, edges?: {| - inboundEdges: AdjacencyListMap, - outboundEdges: AdjacencyListMap, + inboundEdges: AdjacencyListMap, + outboundEdges: AdjacencyListMap, |}, rootNodeId?: ?NodeId, |}; export const ALL_EDGE_TYPES = '@@all_edge_types'; -export default class Graph { +export default class Graph { nodes: Map; - inboundEdges: AdjacencyList; - outboundEdges: AdjacencyList; + inboundEdges: AdjacencyList; + outboundEdges: AdjacencyList; rootNodeId: ?NodeId; constructor(opts: GraphOpts = ({}: any)) { @@ -60,7 +61,7 @@ export default class Graph { // Returns a list of all edges in the graph. This can be large, so iterating // the complete list can be costly in large graphs. Used when merging graphs. - getAllEdges(): Array> { + getAllEdges(): Array> { let edges = []; for (let [from, edgeList] of this.outboundEdges.getListMap()) { for (let [type, toNodes] of edgeList) { @@ -98,7 +99,7 @@ export default class Graph { return this.rootNodeId ? this.getNode(this.rootNodeId) : null; } - addEdge(from: NodeId, to: NodeId, type: TEdgeType | null = null): void { + addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0): void { if (!this.getNode(from)) { throw new Error(`"from" node '${from}' not found`); } @@ -111,13 +112,17 @@ export default class Graph { this.inboundEdges.addEdge(to, from, type); } - hasEdge(from: NodeId, to: NodeId, type?: TEdgeType | null = null): boolean { + hasEdge( + from: NodeId, + to: NodeId, + type?: TEdgeType | NullEdgeType = 0, + ): boolean { return this.outboundEdges.hasEdge(from, to, type); } getNodesConnectedTo( node: TNode, - type: TEdgeType | null | Array = null, + type: TEdgeType | NullEdgeType | Array = 0, ): Array { assertHasNode(this, node); @@ -150,7 +155,7 @@ export default class Graph { getNodesConnectedFrom( node: TNode, - type: TEdgeType | null | Array = null, + type: TEdgeType | NullEdgeType | Array = 0, ): Array { assertHasNode(this, node); @@ -215,7 +220,7 @@ export default class Graph { this.removeNode(node); } - removeEdges(node: TNode, type: TEdgeType | null = null) { + removeEdges(node: TNode, type: TEdgeType | NullEdgeType = 0) { assertHasNode(this, node); for (let to of this.outboundEdges.getEdges(node.id, type)) { @@ -227,7 +232,7 @@ export default class Graph { removeEdge( from: NodeId, to: NodeId, - type: TEdgeType | null = null, + type: TEdgeType | NullEdgeType = 0, removeOrphans: boolean = true, ) { if (!this.outboundEdges.hasEdge(from, to, type)) { @@ -291,7 +296,7 @@ export default class Graph { replaceNode( fromNode: TNode, toNode: TNode, - type: TEdgeType | null = null, + type: TEdgeType | NullEdgeType = 0, ): void { assertHasNode(this, fromNode); @@ -310,7 +315,7 @@ export default class Graph { fromNode: TNode, toNodes: $ReadOnlyArray, replaceFilter?: null | (TNode => boolean), - type?: TEdgeType | null = null, + type?: TEdgeType | NullEdgeType = 0, ): void { assertHasNode(this, fromNode); @@ -339,7 +344,7 @@ export default class Graph { traverse( visit: GraphVisitor, startNode: ?TNode, - type: TEdgeType | null | Array = null, + type: TEdgeType | NullEdgeType | Array = 0, ): ?TContext { return this.dfs({ visit, @@ -352,7 +357,7 @@ export default class Graph { filter: (TNode, TraversalActions) => ?TValue, visit: GraphVisitor, startNode: ?TNode, - type?: TEdgeType | null | Array, + type?: TEdgeType | Array, ): ?TContext { return this.traverse(mapVisitor(filter, visit), startNode, type); } @@ -360,7 +365,7 @@ export default class Graph { traverseAncestors( startNode: TNode, visit: GraphVisitor, - type: TEdgeType | null | Array = null, + type: TEdgeType | NullEdgeType | Array = 0, ): ?TContext { return this.dfs({ visit, diff --git a/packages/core/core/src/RequestTracker.js b/packages/core/core/src/RequestTracker.js index 7c124aa0de3..f1b85214303 100644 --- a/packages/core/core/src/RequestTracker.js +++ b/packages/core/core/src/RequestTracker.js @@ -95,14 +95,22 @@ type RequestGraphNode = | EnvNode | OptionNode; -type RequestGraphEdgeType = - | 'subrequest' - | 'invalidated_by_update' - | 'invalidated_by_delete' - | 'invalidated_by_create' - | 'invalidated_by_create_above' - | 'dirname'; - +// type RequestGraphEdgeType = +// | 'subrequest' +// | 'invalidated_by_update' +// | 'invalidated_by_delete' +// | 'invalidated_by_create' +// | 'invalidated_by_create_above' +// | 'dirname'; + +export const RequestGraphEdgeType = { + subrequest: 1, + invalidated_by_update: 2, + invalidated_by_delete: 3, + invalidated_by_create: 4, + invalidated_by_create_above: 5, + dirname: 6, +}; export type RunAPI = {| invalidateOnFileCreate: FileCreateInvalidation => void, invalidateOnFileDelete: FilePath => void, @@ -273,7 +281,7 @@ export class RequestGraph extends Graph< requestNode, subrequestNodes, null, - 'subrequest', + RequestGraphEdgeType.subrequest, ); } @@ -283,7 +291,10 @@ export class RequestGraph extends Graph< node.invalidateReason |= reason; this.invalidNodeIds.add(node.id); - let parentNodes = this.getNodesConnectedTo(node, 'subrequest'); + let parentNodes = this.getNodesConnectedTo( + node, + RequestGraphEdgeType.subrequest, + ); for (let parentNode of parentNodes) { this.invalidateNode(parentNode, reason); } @@ -305,7 +316,7 @@ export class RequestGraph extends Graph< if (env[node.value.key] !== node.value.value) { let parentNodes = this.getNodesConnectedTo( node, - 'invalidated_by_update', + RequestGraphEdgeType.invalidated_by_update, ); for (let parentNode of parentNodes) { this.invalidateNode(parentNode, ENV_CHANGE); @@ -321,7 +332,7 @@ export class RequestGraph extends Graph< if (hashFromOption(options[node.value.key]) !== node.value.hash) { let parentNodes = this.getNodesConnectedTo( node, - 'invalidated_by_update', + RequestGraphEdgeType.invalidated_by_update, ); for (let parentNode of parentNodes) { this.invalidateNode(parentNode, OPTION_CHANGE); @@ -337,8 +348,18 @@ export class RequestGraph extends Graph< this.addNode(fileNode); } - if (!this.hasEdge(requestNode.id, fileNode.id, 'invalidated_by_update')) { - this.addEdge(requestNode.id, fileNode.id, 'invalidated_by_update'); + if ( + !this.hasEdge( + requestNode.id, + fileNode.id, + RequestGraphEdgeType.invalidated_by_update, + ) + ) { + this.addEdge( + requestNode.id, + fileNode.id, + RequestGraphEdgeType.invalidated_by_update, + ); } } @@ -349,8 +370,18 @@ export class RequestGraph extends Graph< this.addNode(fileNode); } - if (!this.hasEdge(requestNode.id, fileNode.id, 'invalidated_by_delete')) { - this.addEdge(requestNode.id, fileNode.id, 'invalidated_by_delete'); + if ( + !this.hasEdge( + requestNode.id, + fileNode.id, + RequestGraphEdgeType.invalidated_by_delete, + ) + ) { + this.addEdge( + requestNode.id, + fileNode.id, + RequestGraphEdgeType.invalidated_by_delete, + ); } } @@ -377,9 +408,9 @@ export class RequestGraph extends Graph< if ( last != null && - !this.hasEdge(last.id, fileNameNode.id, 'dirname') + !this.hasEdge(last.id, fileNameNode.id, RequestGraphEdgeType.dirname) ) { - this.addEdge(last.id, fileNameNode.id, 'dirname'); + this.addEdge(last.id, fileNameNode.id, RequestGraphEdgeType.dirname); } last = fileNameNode; @@ -402,13 +433,33 @@ export class RequestGraph extends Graph< // This indicates a complete match, and any requests attached to the `aboveFilePath` // node will be invalidated. let firstId = 'file_name:' + parts[0]; - if (!this.hasEdge(node.id, firstId, 'invalidated_by_create_above')) { - this.addEdge(node.id, firstId, 'invalidated_by_create_above'); + if ( + !this.hasEdge( + node.id, + firstId, + RequestGraphEdgeType.invalidated_by_create_above, + ) + ) { + this.addEdge( + node.id, + firstId, + RequestGraphEdgeType.invalidated_by_create_above, + ); } invariant(last != null); - if (!this.hasEdge(last.id, node.id, 'invalidated_by_create_above')) { - this.addEdge(last.id, node.id, 'invalidated_by_create_above'); + if ( + !this.hasEdge( + last.id, + node.id, + RequestGraphEdgeType.invalidated_by_create_above, + ) + ) { + this.addEdge( + last.id, + node.id, + RequestGraphEdgeType.invalidated_by_create_above, + ); } } else if (input.filePath != null) { node = nodeFromFilePath(input.filePath); @@ -420,8 +471,18 @@ export class RequestGraph extends Graph< this.addNode(node); } - if (!this.hasEdge(requestNode.id, node.id, 'invalidated_by_create')) { - this.addEdge(requestNode.id, node.id, 'invalidated_by_create'); + if ( + !this.hasEdge( + requestNode.id, + node.id, + RequestGraphEdgeType.invalidated_by_create, + ) + ) { + this.addEdge( + requestNode.id, + node.id, + RequestGraphEdgeType.invalidated_by_create, + ); } } @@ -437,8 +498,18 @@ export class RequestGraph extends Graph< this.addNode(envNode); } - if (!this.hasEdge(requestNode.id, envNode.id, 'invalidated_by_update')) { - this.addEdge(requestNode.id, envNode.id, 'invalidated_by_update'); + if ( + !this.hasEdge( + requestNode.id, + envNode.id, + RequestGraphEdgeType.invalidated_by_update, + ) + ) { + this.addEdge( + requestNode.id, + envNode.id, + RequestGraphEdgeType.invalidated_by_update, + ); } } @@ -449,16 +520,41 @@ export class RequestGraph extends Graph< this.addNode(optionNode); } - if (!this.hasEdge(requestNode.id, optionNode.id, 'invalidated_by_update')) { - this.addEdge(requestNode.id, optionNode.id, 'invalidated_by_update'); + if ( + !this.hasEdge( + requestNode.id, + optionNode.id, + RequestGraphEdgeType.invalidated_by_update, + ) + ) { + this.addEdge( + requestNode.id, + optionNode.id, + RequestGraphEdgeType.invalidated_by_update, + ); } } clearInvalidations(node: RequestNode) { this.unpredicatableNodeIds.delete(node.id); - this.replaceNodesConnectedTo(node, [], null, 'invalidated_by_update'); - this.replaceNodesConnectedTo(node, [], null, 'invalidated_by_delete'); - this.replaceNodesConnectedTo(node, [], null, 'invalidated_by_create'); + this.replaceNodesConnectedTo( + node, + [], + null, + RequestGraphEdgeType.invalidated_by_update, + ); + this.replaceNodesConnectedTo( + node, + [], + null, + RequestGraphEdgeType.invalidated_by_delete, + ); + this.replaceNodesConnectedTo( + node, + [], + null, + RequestGraphEdgeType.invalidated_by_create, + ); } getInvalidations(requestId: string): Array { @@ -470,7 +566,7 @@ export class RequestGraph extends Graph< let requestNode = this.getRequestNode(requestId); let invalidations = this.getNodesConnectedFrom( requestNode, - 'invalidated_by_update', + RequestGraphEdgeType.invalidated_by_update, ); return invalidations .map(node => { @@ -492,7 +588,10 @@ export class RequestGraph extends Graph< } let requestNode = this.getRequestNode(requestId); - let subRequests = this.getNodesConnectedFrom(requestNode, 'subrequest'); + let subRequests = this.getNodesConnectedFrom( + requestNode, + RequestGraphEdgeType.subrequest, + ); return subRequests.map(node => { invariant(node.type === 'request'); @@ -511,12 +610,16 @@ export class RequestGraph extends Graph< let dirname = path.dirname(filePath); for (let matchNode of matchNodes) { if ( - this.hasEdge(node.id, matchNode.id, 'invalidated_by_create_above') && + this.hasEdge( + node.id, + matchNode.id, + RequestGraphEdgeType.invalidated_by_create_above, + ) && isDirectoryInside(path.dirname(matchNode.value.filePath), dirname) ) { let connectedNodes = this.getNodesConnectedTo( matchNode, - 'invalidated_by_create', + RequestGraphEdgeType.invalidated_by_create, ); for (let connectedNode of connectedNodes) { this.invalidateNode(connectedNode, FILE_CREATE); @@ -528,7 +631,10 @@ export class RequestGraph extends Graph< // recursively invalidate connected requests as described above. let basename = path.basename(dirname); let parent = this.getNode('file_name:' + basename); - if (parent != null && this.hasEdge(node.id, parent.id, 'dirname')) { + if ( + parent != null && + this.hasEdge(node.id, parent.id, RequestGraphEdgeType.dirname) + ) { invariant(parent.type === 'file_name'); this.invalidateFileNameNode(parent, dirname, matchNodes); } @@ -543,14 +649,20 @@ export class RequestGraph extends Graph< // if it was a create event, but the file already exists in the graph, // then also invalidate nodes connected by invalidated_by_update edges. if (node && (type === 'create' || type === 'update')) { - let nodes = this.getNodesConnectedTo(node, 'invalidated_by_update'); + let nodes = this.getNodesConnectedTo( + node, + RequestGraphEdgeType.invalidated_by_update, + ); for (let connectedNode of nodes) { didInvalidate = true; this.invalidateNode(connectedNode, FILE_UPDATE); } if (type === 'create') { - let nodes = this.getNodesConnectedTo(node, 'invalidated_by_create'); + let nodes = this.getNodesConnectedTo( + node, + RequestGraphEdgeType.invalidated_by_create, + ); for (let connectedNode of nodes) { didInvalidate = true; this.invalidateNode(connectedNode, FILE_CREATE); @@ -563,7 +675,7 @@ export class RequestGraph extends Graph< // Find potential file nodes to be invalidated if this file name pattern matches let above = this.getNodesConnectedTo( fileNameNode, - 'invalidated_by_create_above', + RequestGraphEdgeType.invalidated_by_create_above, ).map(node => { invariant(node.type === 'file'); return node; @@ -582,7 +694,7 @@ export class RequestGraph extends Graph< if (isGlobMatch(filePath, globNode.value)) { let connectedNodes = this.getNodesConnectedTo( globNode, - 'invalidated_by_create', + RequestGraphEdgeType.invalidated_by_create, ); for (let connectedNode of connectedNodes) { didInvalidate = true; @@ -593,7 +705,7 @@ export class RequestGraph extends Graph< } else if (node && type === 'delete') { for (let connectedNode of this.getNodesConnectedTo( node, - 'invalidated_by_delete', + RequestGraphEdgeType.invalidated_by_delete, )) { didInvalidate = true; this.invalidateNode(connectedNode, FILE_DELETE); diff --git a/packages/core/core/src/applyRuntimes.js b/packages/core/core/src/applyRuntimes.js index ff7045eee26..3609f8798e8 100644 --- a/packages/core/core/src/applyRuntimes.js +++ b/packages/core/core/src/applyRuntimes.js @@ -19,7 +19,7 @@ import invariant from 'assert'; import nullthrows from 'nullthrows'; import AssetGraph, {nodeFromAssetGroup} from './AssetGraph'; import BundleGraph from './public/BundleGraph'; -import InternalBundleGraph from './BundleGraph'; +import InternalBundleGraph, {BundleGraphEdgeTypes} from './BundleGraph'; import {NamedBundle} from './public/Bundle'; import {PluginLogger} from '@parcel/logger'; import ThrowableDiagnostic, {errorToDiagnostic} from '@parcel/diagnostic'; @@ -187,7 +187,11 @@ export default async function applyRuntimes({ return; } - bundleGraph._graph.addEdge(bundle.id, node.id, 'contains'); + bundleGraph._graph.addEdge( + bundle.id, + node.id, + BundleGraphEdgeTypes.contains, + ); } }, runtimeNode); diff --git a/packages/core/core/src/public/MutableBundleGraph.js b/packages/core/core/src/public/MutableBundleGraph.js index 7942c574ca0..a190cfff7a7 100644 --- a/packages/core/core/src/public/MutableBundleGraph.js +++ b/packages/core/core/src/public/MutableBundleGraph.js @@ -18,7 +18,7 @@ import path from 'path'; import nullthrows from 'nullthrows'; import {md5FromString} from '@parcel/utils'; import BundleGraph from './BundleGraph'; -import InternalBundleGraph from '../BundleGraph'; +import InternalBundleGraph, {BundleGraphEdgeTypes} from '../BundleGraph'; import {Bundle, bundleToInternalBundle} from './Bundle'; import {mapVisitor, ALL_EDGE_TYPES} from '../Graph'; import {assetFromValue, assetToAssetValue} from './Asset'; @@ -98,26 +98,30 @@ export default class MutableBundleGraph extends BundleGraph let assetNodes = this.#graph._graph.getNodesConnectedFrom(dependencyNode); this.#graph._graph.addEdge(dependencyNode.id, bundleGroupNode.id); this.#graph._graph.replaceNodesConnectedTo(bundleGroupNode, assetNodes); - this.#graph._graph.addEdge(dependencyNode.id, resolved.id, 'references'); + this.#graph._graph.addEdge( + dependencyNode.id, + resolved.id, + BundleGraphEdgeTypes.references, + ); this.#graph._graph.removeEdge(dependencyNode.id, resolved.id); if (dependency.isEntry) { this.#graph._graph.addEdge( nullthrows(this.#graph._graph.getRootNode()).id, bundleGroupNode.id, - 'bundle', + BundleGraphEdgeTypes.bundle, ); } else { let inboundBundleNodes = this.#graph._graph.getNodesConnectedTo( dependencyNode, - 'contains', + BundleGraphEdgeTypes.contains, ); for (let inboundBundleNode of inboundBundleNodes) { invariant(inboundBundleNode.type === 'bundle'); this.#graph._graph.addEdge( inboundBundleNode.id, bundleGroupNode.id, - 'bundle', + BundleGraphEdgeTypes.bundle, ); } } diff --git a/packages/core/core/src/types.js b/packages/core/core/src/types.js index 2856f7609c6..df24a85007d 100644 --- a/packages/core/core/src/types.js +++ b/packages/core/core/src/types.js @@ -215,7 +215,7 @@ export type ParcelOptions = {| export type NodeId = string; -export type Edge = {| +export type Edge = {| from: NodeId, to: NodeId, type: TEdgeType, diff --git a/packages/core/core/test/AssetGraph.test.js b/packages/core/core/test/AssetGraph.test.js index cfe36fc2681..fe83d8b3f51 100644 --- a/packages/core/core/test/AssetGraph.test.js +++ b/packages/core/core/test/AssetGraph.test.js @@ -123,12 +123,12 @@ describe('AssetGraph', () => { { from: '@@root', to: 'entry_specifier:/path/to/index1', - type: null, + type: 0, }, { from: '@@root', to: 'entry_specifier:/path/to/index2', - type: null, + type: 0, }, { from: 'entry_specifier:/path/to/index1', @@ -136,7 +136,7 @@ describe('AssetGraph', () => { filePath: '/path/to/index1/src/main.js', packagePath: '/path/to/index1', }).id, - type: null, + type: 0, }, { from: 'entry_specifier:/path/to/index2', @@ -144,7 +144,7 @@ describe('AssetGraph', () => { filePath: '/path/to/index2/src/main.js', packagePath: '/path/to/index2', }).id, - type: null, + type: 0, }, { from: nodeFromEntryFile({ @@ -156,7 +156,7 @@ describe('AssetGraph', () => { target: DEFAULT_TARGETS[0], env: DEFAULT_ENV, }).id, - type: null, + type: 0, }, { from: nodeFromEntryFile({ @@ -168,7 +168,7 @@ describe('AssetGraph', () => { target: DEFAULT_TARGETS[0], env: DEFAULT_ENV, }).id, - type: null, + type: 0, }, ]); }); diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index d149e1d11f4..d0ee8010e45 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -94,7 +94,7 @@ describe('Graph', () => { graph.addNode(nodeB); graph.addNode(nodeC); graph.addEdge('a', 'b'); - graph.addEdge('a', 'c', 'edgetype'); + graph.addEdge('a', 'c', 1); assert(graph.isOrphanedNode(nodeA)); assert(!graph.isOrphanedNode(nodeB)); assert(!graph.isOrphanedNode(nodeC)); @@ -121,7 +121,7 @@ describe('Graph', () => { assert(graph.nodes.has('d')); assert(!graph.nodes.has('b')); assert(!graph.nodes.has('c')); - assert.deepEqual(graph.getAllEdges(), [{from: 'a', to: 'd', type: null}]); + assert.deepEqual(graph.getAllEdges(), [{from: 'a', to: 'd', type: 0}]); }); it('removing a node recursively deletes orphaned nodes', () => { @@ -165,8 +165,8 @@ describe('Graph', () => { ['a', 'c', 'f'], ); assert.deepEqual(graph.getAllEdges(), [ - {from: 'a', to: 'c', type: null}, - {from: 'c', to: 'f', type: null}, + {from: 'a', to: 'c', type: 0}, + {from: 'c', to: 'f', type: 0}, ]); }); @@ -212,8 +212,8 @@ describe('Graph', () => { ['a', 'c', 'f'], ); assert.deepEqual(graph.getAllEdges(), [ - {from: 'a', to: 'c', type: null}, - {from: 'c', to: 'f', type: null}, + {from: 'a', to: 'c', type: 0}, + {from: 'c', to: 'f', type: 0}, ]); }); @@ -246,11 +246,11 @@ describe('Graph', () => { assert.deepEqual(nodesBefore, getNodeIds()); assert.deepEqual(graph.getAllEdges(), [ - {from: 'a', to: 'b', type: null}, - {from: 'b', to: 'c', type: null}, - {from: 'b', to: 'd', type: null}, - {from: 'd', to: 'e', type: null}, - {from: 'e', to: 'b', type: null}, + {from: 'a', to: 'b', type: 0}, + {from: 'b', to: 'c', type: 0}, + {from: 'b', to: 'd', type: 0}, + {from: 'd', to: 'e', type: 0}, + {from: 'e', to: 'b', type: 0}, ]); }); @@ -287,8 +287,8 @@ describe('Graph', () => { assert(!graph.nodes.has('c')); assert(graph.nodes.has('d')); assert.deepEqual(graph.getAllEdges(), [ - {from: 'a', to: 'b', type: null}, - {from: 'a', to: 'd', type: null}, + {from: 'a', to: 'b', type: 0}, + {from: 'a', to: 'd', type: 0}, ]); }); @@ -299,10 +299,10 @@ describe('Graph', () => { graph.addNode({id: 'c', type: 'mynode', value: 'c'}); graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - graph.addEdge('a', 'b', 'edgetype'); + graph.addEdge('a', 'b', 1); graph.addEdge('a', 'd'); graph.addEdge('b', 'c'); - graph.addEdge('b', 'd', 'edgetype'); + graph.addEdge('b', 'd', 1); graph.rootNodeId = 'a'; @@ -312,7 +312,7 @@ describe('Graph', () => { visited.push(node.id); }, null, // use root as startNode - 'edgetype', + 1, ); assert.deepEqual(visited, ['a', 'b', 'd']); }); From c09a85ec44101e0e132e63fa952eb5e8b8de4e37 Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 13 Apr 2021 12:43:43 -0700 Subject: [PATCH 002/117] clean up comments --- packages/core/core/src/BundleGraph.js | 24 ------------------------ packages/core/core/src/RequestTracker.js | 8 -------- 2 files changed, 32 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index a8a2b325893..7d727393598 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -56,30 +56,6 @@ export const BundleGraphEdgeTypes = { type BundleGraphEdgeType = $Values; -// type BundleGraphEdgeTypes = -// // A lack of an edge type indicates to follow the edge while traversing -// // the bundle's contents, e.g. `bundle.traverse()` during packaging. -// | null -// // Used for constant-time checks of presence of a dependency or asset in a bundle, -// // avoiding bundle traversal in cases like `isAssetInAncestors` -// | 'contains' -// // Connections between bundles and bundle groups, for quick traversal of the -// // bundle hierarchy. -// | 'bundle' -// // When dependency -> asset: Indicates that the asset a dependency references -// // is contained in another bundle. -// // When dependency -> bundle: Indicates the bundle is necessary for any bundles -// // with the dependency. -// // When bundle -> bundle: Indicates the target bundle is necessary for the -// // source bundle. -// // This type prevents referenced assets from being traversed from dependencies -// // along the untyped edge, and enables traversal to referenced bundles that are -// // not directly connected to bundle group nodes. -// | 'references' -// // Signals that the dependency is internally resolvable via the bundle's ancestry, -// // and that the bundle connected to the dependency is not necessary for the source bundle. -// | BundleGraphEdgeTypeIds.internal_async; - type InternalSymbolResolution = {| asset: Asset, exportSymbol: string, diff --git a/packages/core/core/src/RequestTracker.js b/packages/core/core/src/RequestTracker.js index f8f7b569949..82125099b66 100644 --- a/packages/core/core/src/RequestTracker.js +++ b/packages/core/core/src/RequestTracker.js @@ -105,14 +105,6 @@ type RequestGraphNode = | EnvNode | OptionNode; -// type RequestGraphEdgeType = -// | 'subrequest' -// | 'invalidated_by_update' -// | 'invalidated_by_delete' -// | 'invalidated_by_create' -// | 'invalidated_by_create_above' -// | 'dirname'; - export type RunAPI = {| invalidateOnFileCreate: FileCreateInvalidation => void, invalidateOnFileDelete: FilePath => void, From 4fd4898d8a5f3dc8f20f48dab50ce6a1add716f8 Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 14 Apr 2021 16:56:50 -0700 Subject: [PATCH 003/117] fix edge colors in graphviz --- packages/core/core/src/Parcel.js | 20 ++++++++--- packages/core/core/src/dumpGraphToGraphViz.js | 9 ++++- .../core/src/requests/BundleGraphRequest.js | 34 ++++++++++++++----- 3 files changed, 49 insertions(+), 14 deletions(-) diff --git a/packages/core/core/src/Parcel.js b/packages/core/core/src/Parcel.js index 793025e7c22..c7ee48a508c 100644 --- a/packages/core/core/src/Parcel.js +++ b/packages/core/core/src/Parcel.js @@ -33,7 +33,11 @@ import {AbortController} from 'abortcontroller-polyfill/dist/cjs-ponyfill'; import {PromiseQueue} from '@parcel/utils'; import ParcelConfig from './ParcelConfig'; import logger from '@parcel/logger'; -import RequestTracker, {getWatcherOptions} from './RequestTracker'; +import {BundleGraphEdgeTypes} from './BundleGraph'; +import RequestTracker, { + getWatcherOptions, + RequestGraphEdgeTypes, +} from './RequestTracker'; import createAssetGraphRequest from './requests/AssetGraphRequest'; import createValidationRequest from './requests/ValidationRequest'; import createBundleGraphRequest from './requests/BundleGraphRequest'; @@ -295,14 +299,22 @@ export default class Parcel { bundleGraphRequest, ); - // $FlowFixMe Added in Flow 0.121.0 upgrade in #4381 (Windows only) - dumpGraphToGraphViz(bundleGraph._graph, 'BundleGraph'); + dumpGraphToGraphViz( + // $FlowFixMe Added in Flow 0.121.0 upgrade in #4381 (Windows only) + bundleGraph._graph, + 'BundleGraph', + BundleGraphEdgeTypes, + ); await this.#packagerRunner.writeBundles(bundleGraph); assertSignalNotAborted(signal); // $FlowFixMe - dumpGraphToGraphViz(this.#requestTracker.graph, 'RequestGraph'); + dumpGraphToGraphViz( + this.#requestTracker.graph, + 'RequestGraph', + RequestGraphEdgeTypes, + ); let event = { type: 'buildSuccess', diff --git a/packages/core/core/src/dumpGraphToGraphViz.js b/packages/core/core/src/dumpGraphToGraphViz.js index a9bcc050697..69491ce7fa1 100644 --- a/packages/core/core/src/dumpGraphToGraphViz.js +++ b/packages/core/core/src/dumpGraphToGraphViz.js @@ -32,6 +32,7 @@ export default async function dumpGraphToGraphViz( // $FlowFixMe graph: Graph | Graph, name: string, + edgeTypes?: any, ): Promise { if ( process.env.PARCEL_BUILD_ENV === 'production' || @@ -128,9 +129,15 @@ export default async function dumpGraphToGraphViz( } n.set('label', label); } + let edgeNames; + if (edgeTypes) { + edgeNames = Object.fromEntries( + Object.entries(edgeTypes).map(([k, v]) => [v, k]), + ); + } for (let edge of graph.getAllEdges()) { let gEdge = g.addEdge(edge.from, edge.to); - let color = edge.type != null ? TYPE_COLORS[edge.type] : null; + let color = edgeNames ? TYPE_COLORS[edgeNames[edge.type]] : null; if (color != null) { gEdge.set('color', color); } diff --git a/packages/core/core/src/requests/BundleGraphRequest.js b/packages/core/core/src/requests/BundleGraphRequest.js index 45e6f7ab58e..d62234413fe 100644 --- a/packages/core/core/src/requests/BundleGraphRequest.js +++ b/packages/core/core/src/requests/BundleGraphRequest.js @@ -19,7 +19,7 @@ import {PluginLogger} from '@parcel/logger'; import ThrowableDiagnostic, {errorToDiagnostic} from '@parcel/diagnostic'; import AssetGraph from '../AssetGraph'; import BundleGraph from '../public/BundleGraph'; -import InternalBundleGraph from '../BundleGraph'; +import InternalBundleGraph, {BundleGraphEdgeTypes} from '../BundleGraph'; import MutableBundleGraph from '../public/MutableBundleGraph'; import {Bundle, NamedBundle} from '../public/Bundle'; import {report} from '../ReporterRunner'; @@ -196,8 +196,12 @@ class BundlerRunner { } let internalBundleGraph = InternalBundleGraph.fromAssetGraph(graph); - // $FlowFixMe - await dumpGraphToGraphViz(internalBundleGraph._graph, 'before_bundle'); + await dumpGraphToGraphViz( + // $FlowFixMe + internalBundleGraph._graph, + 'before_bundle', + BundleGraphEdgeTypes, + ); let mutableBundleGraph = new MutableBundleGraph( internalBundleGraph, this.options, @@ -219,8 +223,12 @@ class BundlerRunner { }), }); } finally { - // $FlowFixMe[incompatible-call] - await dumpGraphToGraphViz(internalBundleGraph._graph, 'after_bundle'); + await dumpGraphToGraphViz( + // $FlowFixMe[incompatible-call] + internalBundleGraph._graph, + 'after_bundle', + BundleGraphEdgeTypes, + ); } if (this.pluginOptions.mode === 'production') { @@ -238,8 +246,12 @@ class BundlerRunner { }), }); } finally { - // $FlowFixMe[incompatible-call] - await dumpGraphToGraphViz(internalBundleGraph._graph, 'after_optimize'); + await dumpGraphToGraphViz( + // $FlowFixMe[incompatible-call] + internalBundleGraph._graph, + 'after_optimize', + BundleGraphEdgeTypes, + ); } } @@ -270,8 +282,12 @@ class BundlerRunner { configs: this.configs, }); - // $FlowFixMe - await dumpGraphToGraphViz(internalBundleGraph._graph, 'after_runtimes'); + await dumpGraphToGraphViz( + // $FlowFixMe + internalBundleGraph._graph, + 'after_runtimes', + BundleGraphEdgeTypes, + ); // Store the serialized bundle graph in an in memory cache so that we avoid serializing it // many times to send to each worker, and in build mode, when writing to cache on shutdown. From bb58ee8226d6f6f5f49c23037f1ad434b4155e96 Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 14 Apr 2021 22:55:49 -0700 Subject: [PATCH 004/117] camelCase edge type objects --- packages/core/core/src/BundleGraph.js | 86 +++++++++---------- packages/core/core/src/Parcel.js | 10 +-- packages/core/core/src/RequestTracker.js | 70 +++++++-------- packages/core/core/src/applyRuntimes.js | 4 +- .../core/src/public/MutableBundleGraph.js | 10 +-- .../core/src/requests/BundleGraphRequest.js | 10 +-- 6 files changed, 95 insertions(+), 95 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index 7d727393598..51f92c4f17e 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -29,7 +29,7 @@ import {getBundleGroupId, getPublicId} from './utils'; import Graph, {ALL_EDGE_TYPES, mapVisitor, type GraphOpts} from './Graph'; import Environment from './public/Environment'; -export const BundleGraphEdgeTypes = { +export const bundleGraphEdgeTypes = { // A lack of an edge type indicates to follow the edge while traversing // the bundle's contents, e.g. `bundle.traverse()` during packaging. null: 0, @@ -54,7 +54,7 @@ export const BundleGraphEdgeTypes = { internal_async: 4, }; -type BundleGraphEdgeType = $Values; +type BundleGraphEdgeType = $Values; type InternalSymbolResolution = {| asset: Asset, @@ -158,7 +158,7 @@ export default class BundleGraph { fromIds = [ ...assetGraph.inboundEdges.getEdges( edge.from, - BundleGraphEdgeTypes.null, + bundleGraphEdgeTypes.null, ), ]; } else { @@ -169,7 +169,7 @@ export default class BundleGraph { if (assetGroupIds.has(edge.to)) { for (let to of assetGraph.outboundEdges.getEdges( edge.to, - BundleGraphEdgeTypes.null, + bundleGraphEdgeTypes.null, )) { graph.addEdge(from, to); } @@ -231,7 +231,7 @@ export default class BundleGraph { } if (node.type === 'asset' || node.type === 'dependency') { - this._graph.addEdge(bundle.id, node.id, BundleGraphEdgeTypes.contains); + this._graph.addEdge(bundle.id, node.id, bundleGraphEdgeTypes.contains); } if (node.type === 'dependency') { @@ -242,7 +242,7 @@ export default class BundleGraph { this._graph.addEdge( bundle.id, bundleGroupNode.id, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ); } @@ -250,13 +250,13 @@ export default class BundleGraph { // the source bundle to the dependency for easy traversal. if ( this._graph - .getNodesConnectedFrom(node, BundleGraphEdgeTypes.references) + .getNodesConnectedFrom(node, bundleGraphEdgeTypes.references) .some(node => node.type === 'bundle') ) { this._graph.addEdge( bundle.id, node.id, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); } } @@ -283,7 +283,7 @@ export default class BundleGraph { this._graph.addEdge( bundle.id, dependency.id, - BundleGraphEdgeTypes.internal_async, + bundleGraphEdgeTypes.internal_async, ); this.removeExternalDependency(bundle, dependency); } @@ -298,7 +298,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(getBundleGroupId(bundleGroup))), - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ) .filter(node => node.type === 'bundle') .map(node => { @@ -321,12 +321,12 @@ export default class BundleGraph { this._graph.hasEdge( bundle.id, depNode.id, - BundleGraphEdgeTypes.internal_async, + bundleGraphEdgeTypes.internal_async, ) ) { let referencedAssetNode = this._graph.getNodesConnectedFrom( depNode, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, )[0]; let resolved; @@ -383,7 +383,7 @@ export default class BundleGraph { let referenced = this._graph .getNodesConnectedFrom( nullthrows(this._graph.getNode(dependency.id)), - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ) .find(node => node.type === 'asset'); @@ -409,12 +409,12 @@ export default class BundleGraph { } if ( - this._graph.hasEdge(bundle.id, node.id, BundleGraphEdgeTypes.contains) + this._graph.hasEdge(bundle.id, node.id, bundleGraphEdgeTypes.contains) ) { this._graph.removeEdge( bundle.id, node.id, - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, // Removing this contains edge should not orphan the connected node. This // is disabled for performance reasons as these edges are removed as part // of a traversal, and checking for orphans becomes quite expensive in @@ -447,13 +447,13 @@ export default class BundleGraph { this._graph.hasEdge( bundle.id, node.id, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ) ) { this._graph.removeEdge( bundle.id, node.id, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); } } @@ -474,7 +474,7 @@ export default class BundleGraph { let bundleGroupNodes = this._graph.getNodesConnectedTo( bundleNode, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ); this._graph.removeNode(bundleNode); @@ -534,7 +534,7 @@ export default class BundleGraph { !this._graph.hasEdge( bundle.id, bundleGroupNode.id, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ) ) { continue; @@ -558,14 +558,14 @@ export default class BundleGraph { this._graph.hasEdge( bundle.id, dependency.id, - BundleGraphEdgeTypes.internal_async, + bundleGraphEdgeTypes.internal_async, ), ) ) { this._graph.removeEdge( bundle.id, bundleGroupNode.id, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ); } } @@ -579,12 +579,12 @@ export default class BundleGraph { this._graph.addEdge( dependency.id, asset.id, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); this._graph.addEdge( dependency.id, bundle.id, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); if (this._graph.hasEdge(dependency.id, asset.id)) { this._graph.removeEdge(dependency.id, asset.id); @@ -592,14 +592,14 @@ export default class BundleGraph { } createBundleReference(from: Bundle, to: Bundle): void { - this._graph.addEdge(from.id, to.id, BundleGraphEdgeTypes.references); + this._graph.addEdge(from.id, to.id, bundleGraphEdgeTypes.references); } findBundlesWithAsset(asset: Asset): Array { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(asset.id)), - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ) .filter(node => node.type === 'bundle') .map(node => { @@ -612,7 +612,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(dependency.id)), - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ) .filter(node => node.type === 'bundle') .map(node => { @@ -660,7 +660,7 @@ export default class BundleGraph { } }, depNode, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); } @@ -704,7 +704,7 @@ export default class BundleGraph { // referenced. let asyncInternalReferencingBundles = new Set( this._graph - .getNodesConnectedTo(assetNode, BundleGraphEdgeTypes.references) + .getNodesConnectedTo(assetNode, bundleGraphEdgeTypes.references) .filter(node => node.type === 'dependency') .map(node => { invariant(node.type === 'dependency'); @@ -714,7 +714,7 @@ export default class BundleGraph { this._graph .getNodesConnectedTo( dependencyNode, - BundleGraphEdgeTypes.internal_async, + bundleGraphEdgeTypes.internal_async, ) .map(node => { invariant(node.type === 'bundle'); @@ -818,7 +818,7 @@ export default class BundleGraph { // Get a list of parent bundle nodes pointing to the bundle group let parentBundleNodes = this._graph.getNodesConnectedTo( nullthrows(this._graph.getNode(getBundleGroupId(bundleGroup))), - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ); // Check that every parent bundle has a bundle group in its ancestry that contains the asset. @@ -855,7 +855,7 @@ export default class BundleGraph { } } }, - [BundleGraphEdgeTypes.references, BundleGraphEdgeTypes.bundle], + [bundleGraphEdgeTypes.references, bundleGraphEdgeTypes.bundle], ); return isReachable; @@ -907,7 +907,7 @@ export default class BundleGraph { actions.skipChildren(); } }, - [BundleGraphEdgeTypes.references, BundleGraphEdgeTypes.bundle], + [bundleGraphEdgeTypes.references, bundleGraphEdgeTypes.bundle], ); if (res != null) { @@ -936,7 +936,7 @@ export default class BundleGraph { this._graph.hasEdge( bundle.id, node.id, - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ) ) { return node; @@ -1009,7 +1009,7 @@ export default class BundleGraph { node => (node.type === 'bundle' ? node.value : null), visit, startBundle ? nullthrows(this._graph.getNode(startBundle.id)) : null, - [BundleGraphEdgeTypes.bundle, BundleGraphEdgeTypes.references], + [bundleGraphEdgeTypes.bundle, bundleGraphEdgeTypes.references], ); } @@ -1048,7 +1048,7 @@ export default class BundleGraph { referencingBundles.add(node.value); } }, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); return [...referencingBundles]; @@ -1070,7 +1070,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(bundle.id)), - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ) .filter(node => node.type === 'bundle_group') .map(node => { @@ -1086,7 +1086,7 @@ export default class BundleGraph { ); for (let bundleNode of this._graph.getNodesConnectedFrom( bundleGroupNode, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, )) { invariant(bundleNode.type === 'bundle'); let bundle = bundleNode.value; @@ -1128,7 +1128,7 @@ export default class BundleGraph { // they were added. // TODO: Should this be the case? this._graph - .getNodesConnectedFrom(node, BundleGraphEdgeTypes.references) + .getNodesConnectedFrom(node, bundleGraphEdgeTypes.references) .reverse(), }); @@ -1175,7 +1175,7 @@ export default class BundleGraph { return this._graph.hasEdge( bundle.id, asset.id, - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ); } @@ -1183,7 +1183,7 @@ export default class BundleGraph { return this._graph.hasEdge( bundle.id, dependency.id, - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ); } @@ -1493,14 +1493,14 @@ export default class BundleGraph { addBundleToBundleGroup(bundle: Bundle, bundleGroup: BundleGroup) { let bundleGroupId = getBundleGroupId(bundleGroup); if ( - this._graph.hasEdge(bundleGroupId, bundle.id, BundleGraphEdgeTypes.bundle) + this._graph.hasEdge(bundleGroupId, bundle.id, bundleGraphEdgeTypes.bundle) ) { // Bundle group already has bundle return; } this._graph.addEdge(bundleGroupId, bundle.id); - this._graph.addEdge(bundleGroupId, bundle.id, BundleGraphEdgeTypes.bundle); + this._graph.addEdge(bundleGroupId, bundle.id, bundleGraphEdgeTypes.bundle); for (let entryAssetId of bundle.entryAssetIds) { if (this._graph.hasEdge(bundleGroupId, entryAssetId)) { @@ -1561,7 +1561,7 @@ export default class BundleGraph { return this._graph .getNodesConnectedTo( nullthrows(this._graph.getNode(getBundleGroupId(bundleGroup))), - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ) .some(n => n.type === 'root'); } diff --git a/packages/core/core/src/Parcel.js b/packages/core/core/src/Parcel.js index c7ee48a508c..5f36a2fc0d0 100644 --- a/packages/core/core/src/Parcel.js +++ b/packages/core/core/src/Parcel.js @@ -33,10 +33,10 @@ import {AbortController} from 'abortcontroller-polyfill/dist/cjs-ponyfill'; import {PromiseQueue} from '@parcel/utils'; import ParcelConfig from './ParcelConfig'; import logger from '@parcel/logger'; -import {BundleGraphEdgeTypes} from './BundleGraph'; +import {bundleGraphEdgeTypes} from './BundleGraph'; import RequestTracker, { getWatcherOptions, - RequestGraphEdgeTypes, + requestGraphEdgeTypes, } from './RequestTracker'; import createAssetGraphRequest from './requests/AssetGraphRequest'; import createValidationRequest from './requests/ValidationRequest'; @@ -303,17 +303,17 @@ export default class Parcel { // $FlowFixMe Added in Flow 0.121.0 upgrade in #4381 (Windows only) bundleGraph._graph, 'BundleGraph', - BundleGraphEdgeTypes, + bundleGraphEdgeTypes, ); await this.#packagerRunner.writeBundles(bundleGraph); assertSignalNotAborted(signal); - // $FlowFixMe dumpGraphToGraphViz( + // $FlowFixMe this.#requestTracker.graph, 'RequestGraph', - RequestGraphEdgeTypes, + requestGraphEdgeTypes, ); let event = { diff --git a/packages/core/core/src/RequestTracker.js b/packages/core/core/src/RequestTracker.js index 82125099b66..f13efe61bbe 100644 --- a/packages/core/core/src/RequestTracker.js +++ b/packages/core/core/src/RequestTracker.js @@ -37,7 +37,7 @@ import { ERROR, } from './constants'; -export const RequestGraphEdgeTypes = { +export const requestGraphEdgeTypes = { subrequest: 1, invalidated_by_update: 2, invalidated_by_delete: 3, @@ -46,7 +46,7 @@ export const RequestGraphEdgeTypes = { dirname: 6, }; -type RequestGraphEdgeType = $Values; +type RequestGraphEdgeType = $Values; type SerializedRequestGraph = {| ...GraphOpts, invalidNodeIds: Set, @@ -275,7 +275,7 @@ export class RequestGraph extends Graph< requestNode, subrequestNodes, null, - RequestGraphEdgeTypes.subrequest, + requestGraphEdgeTypes.subrequest, ); } @@ -287,7 +287,7 @@ export class RequestGraph extends Graph< let parentNodes = this.getNodesConnectedTo( node, - RequestGraphEdgeTypes.subrequest, + requestGraphEdgeTypes.subrequest, ); for (let parentNode of parentNodes) { this.invalidateNode(parentNode, reason); @@ -310,7 +310,7 @@ export class RequestGraph extends Graph< if (env[node.value.key] !== node.value.value) { let parentNodes = this.getNodesConnectedTo( node, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); for (let parentNode of parentNodes) { this.invalidateNode(parentNode, ENV_CHANGE); @@ -326,7 +326,7 @@ export class RequestGraph extends Graph< if (hashFromOption(options[node.value.key]) !== node.value.hash) { let parentNodes = this.getNodesConnectedTo( node, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); for (let parentNode of parentNodes) { this.invalidateNode(parentNode, OPTION_CHANGE); @@ -346,13 +346,13 @@ export class RequestGraph extends Graph< !this.hasEdge( requestNode.id, fileNode.id, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ) ) { this.addEdge( requestNode.id, fileNode.id, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); } } @@ -368,13 +368,13 @@ export class RequestGraph extends Graph< !this.hasEdge( requestNode.id, fileNode.id, - RequestGraphEdgeTypes.invalidated_by_delete, + requestGraphEdgeTypes.invalidated_by_delete, ) ) { this.addEdge( requestNode.id, fileNode.id, - RequestGraphEdgeTypes.invalidated_by_delete, + requestGraphEdgeTypes.invalidated_by_delete, ); } } @@ -402,9 +402,9 @@ export class RequestGraph extends Graph< if ( last != null && - !this.hasEdge(last.id, fileNameNode.id, RequestGraphEdgeTypes.dirname) + !this.hasEdge(last.id, fileNameNode.id, requestGraphEdgeTypes.dirname) ) { - this.addEdge(last.id, fileNameNode.id, RequestGraphEdgeTypes.dirname); + this.addEdge(last.id, fileNameNode.id, requestGraphEdgeTypes.dirname); } last = fileNameNode; @@ -431,13 +431,13 @@ export class RequestGraph extends Graph< !this.hasEdge( node.id, firstId, - RequestGraphEdgeTypes.invalidated_by_create_above, + requestGraphEdgeTypes.invalidated_by_create_above, ) ) { this.addEdge( node.id, firstId, - RequestGraphEdgeTypes.invalidated_by_create_above, + requestGraphEdgeTypes.invalidated_by_create_above, ); } @@ -446,13 +446,13 @@ export class RequestGraph extends Graph< !this.hasEdge( last.id, node.id, - RequestGraphEdgeTypes.invalidated_by_create_above, + requestGraphEdgeTypes.invalidated_by_create_above, ) ) { this.addEdge( last.id, node.id, - RequestGraphEdgeTypes.invalidated_by_create_above, + requestGraphEdgeTypes.invalidated_by_create_above, ); } } else if (input.filePath != null) { @@ -469,13 +469,13 @@ export class RequestGraph extends Graph< !this.hasEdge( requestNode.id, node.id, - RequestGraphEdgeTypes.invalidated_by_create, + requestGraphEdgeTypes.invalidated_by_create, ) ) { this.addEdge( requestNode.id, node.id, - RequestGraphEdgeTypes.invalidated_by_create, + requestGraphEdgeTypes.invalidated_by_create, ); } } @@ -496,13 +496,13 @@ export class RequestGraph extends Graph< !this.hasEdge( requestNode.id, envNode.id, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ) ) { this.addEdge( requestNode.id, envNode.id, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); } } @@ -518,13 +518,13 @@ export class RequestGraph extends Graph< !this.hasEdge( requestNode.id, optionNode.id, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ) ) { this.addEdge( requestNode.id, optionNode.id, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); } } @@ -535,19 +535,19 @@ export class RequestGraph extends Graph< node, [], null, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); this.replaceNodesConnectedTo( node, [], null, - RequestGraphEdgeTypes.invalidated_by_delete, + requestGraphEdgeTypes.invalidated_by_delete, ); this.replaceNodesConnectedTo( node, [], null, - RequestGraphEdgeTypes.invalidated_by_create, + requestGraphEdgeTypes.invalidated_by_create, ); } @@ -560,7 +560,7 @@ export class RequestGraph extends Graph< let requestNode = this.getRequestNode(requestId); let invalidations = this.getNodesConnectedFrom( requestNode, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); return invalidations .map(node => { @@ -584,7 +584,7 @@ export class RequestGraph extends Graph< let requestNode = this.getRequestNode(requestId); let subRequests = this.getNodesConnectedFrom( requestNode, - RequestGraphEdgeTypes.subrequest, + requestGraphEdgeTypes.subrequest, ); return subRequests.map(node => { @@ -607,13 +607,13 @@ export class RequestGraph extends Graph< this.hasEdge( node.id, matchNode.id, - RequestGraphEdgeTypes.invalidated_by_create_above, + requestGraphEdgeTypes.invalidated_by_create_above, ) && isDirectoryInside(path.dirname(matchNode.value.filePath), dirname) ) { let connectedNodes = this.getNodesConnectedTo( matchNode, - RequestGraphEdgeTypes.invalidated_by_create, + requestGraphEdgeTypes.invalidated_by_create, ); for (let connectedNode of connectedNodes) { this.invalidateNode(connectedNode, FILE_CREATE); @@ -627,7 +627,7 @@ export class RequestGraph extends Graph< let parent = this.getNode('file_name:' + basename); if ( parent != null && - this.hasEdge(node.id, parent.id, RequestGraphEdgeTypes.dirname) + this.hasEdge(node.id, parent.id, requestGraphEdgeTypes.dirname) ) { invariant(parent.type === 'file_name'); this.invalidateFileNameNode(parent, dirname, matchNodes); @@ -645,7 +645,7 @@ export class RequestGraph extends Graph< if (node && (type === 'create' || type === 'update')) { let nodes = this.getNodesConnectedTo( node, - RequestGraphEdgeTypes.invalidated_by_update, + requestGraphEdgeTypes.invalidated_by_update, ); for (let connectedNode of nodes) { didInvalidate = true; @@ -655,7 +655,7 @@ export class RequestGraph extends Graph< if (type === 'create') { let nodes = this.getNodesConnectedTo( node, - RequestGraphEdgeTypes.invalidated_by_create, + requestGraphEdgeTypes.invalidated_by_create, ); for (let connectedNode of nodes) { didInvalidate = true; @@ -669,7 +669,7 @@ export class RequestGraph extends Graph< // Find potential file nodes to be invalidated if this file name pattern matches let above = this.getNodesConnectedTo( fileNameNode, - RequestGraphEdgeTypes.invalidated_by_create_above, + requestGraphEdgeTypes.invalidated_by_create_above, ).map(node => { invariant(node.type === 'file'); return node; @@ -688,7 +688,7 @@ export class RequestGraph extends Graph< if (isGlobMatch(filePath, globNode.value)) { let connectedNodes = this.getNodesConnectedTo( globNode, - RequestGraphEdgeTypes.invalidated_by_create, + requestGraphEdgeTypes.invalidated_by_create, ); for (let connectedNode of connectedNodes) { didInvalidate = true; @@ -699,7 +699,7 @@ export class RequestGraph extends Graph< } else if (node && type === 'delete') { for (let connectedNode of this.getNodesConnectedTo( node, - RequestGraphEdgeTypes.invalidated_by_delete, + requestGraphEdgeTypes.invalidated_by_delete, )) { didInvalidate = true; this.invalidateNode(connectedNode, FILE_DELETE); diff --git a/packages/core/core/src/applyRuntimes.js b/packages/core/core/src/applyRuntimes.js index 3609f8798e8..97daaaf5d2a 100644 --- a/packages/core/core/src/applyRuntimes.js +++ b/packages/core/core/src/applyRuntimes.js @@ -19,7 +19,7 @@ import invariant from 'assert'; import nullthrows from 'nullthrows'; import AssetGraph, {nodeFromAssetGroup} from './AssetGraph'; import BundleGraph from './public/BundleGraph'; -import InternalBundleGraph, {BundleGraphEdgeTypes} from './BundleGraph'; +import InternalBundleGraph, {bundleGraphEdgeTypes} from './BundleGraph'; import {NamedBundle} from './public/Bundle'; import {PluginLogger} from '@parcel/logger'; import ThrowableDiagnostic, {errorToDiagnostic} from '@parcel/diagnostic'; @@ -190,7 +190,7 @@ export default async function applyRuntimes({ bundleGraph._graph.addEdge( bundle.id, node.id, - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ); } }, runtimeNode); diff --git a/packages/core/core/src/public/MutableBundleGraph.js b/packages/core/core/src/public/MutableBundleGraph.js index a190cfff7a7..413f300db56 100644 --- a/packages/core/core/src/public/MutableBundleGraph.js +++ b/packages/core/core/src/public/MutableBundleGraph.js @@ -18,7 +18,7 @@ import path from 'path'; import nullthrows from 'nullthrows'; import {md5FromString} from '@parcel/utils'; import BundleGraph from './BundleGraph'; -import InternalBundleGraph, {BundleGraphEdgeTypes} from '../BundleGraph'; +import InternalBundleGraph, {bundleGraphEdgeTypes} from '../BundleGraph'; import {Bundle, bundleToInternalBundle} from './Bundle'; import {mapVisitor, ALL_EDGE_TYPES} from '../Graph'; import {assetFromValue, assetToAssetValue} from './Asset'; @@ -101,7 +101,7 @@ export default class MutableBundleGraph extends BundleGraph this.#graph._graph.addEdge( dependencyNode.id, resolved.id, - BundleGraphEdgeTypes.references, + bundleGraphEdgeTypes.references, ); this.#graph._graph.removeEdge(dependencyNode.id, resolved.id); @@ -109,19 +109,19 @@ export default class MutableBundleGraph extends BundleGraph this.#graph._graph.addEdge( nullthrows(this.#graph._graph.getRootNode()).id, bundleGroupNode.id, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ); } else { let inboundBundleNodes = this.#graph._graph.getNodesConnectedTo( dependencyNode, - BundleGraphEdgeTypes.contains, + bundleGraphEdgeTypes.contains, ); for (let inboundBundleNode of inboundBundleNodes) { invariant(inboundBundleNode.type === 'bundle'); this.#graph._graph.addEdge( inboundBundleNode.id, bundleGroupNode.id, - BundleGraphEdgeTypes.bundle, + bundleGraphEdgeTypes.bundle, ); } } diff --git a/packages/core/core/src/requests/BundleGraphRequest.js b/packages/core/core/src/requests/BundleGraphRequest.js index d62234413fe..52f61e69895 100644 --- a/packages/core/core/src/requests/BundleGraphRequest.js +++ b/packages/core/core/src/requests/BundleGraphRequest.js @@ -19,7 +19,7 @@ import {PluginLogger} from '@parcel/logger'; import ThrowableDiagnostic, {errorToDiagnostic} from '@parcel/diagnostic'; import AssetGraph from '../AssetGraph'; import BundleGraph from '../public/BundleGraph'; -import InternalBundleGraph, {BundleGraphEdgeTypes} from '../BundleGraph'; +import InternalBundleGraph, {bundleGraphEdgeTypes} from '../BundleGraph'; import MutableBundleGraph from '../public/MutableBundleGraph'; import {Bundle, NamedBundle} from '../public/Bundle'; import {report} from '../ReporterRunner'; @@ -200,7 +200,7 @@ class BundlerRunner { // $FlowFixMe internalBundleGraph._graph, 'before_bundle', - BundleGraphEdgeTypes, + bundleGraphEdgeTypes, ); let mutableBundleGraph = new MutableBundleGraph( internalBundleGraph, @@ -227,7 +227,7 @@ class BundlerRunner { // $FlowFixMe[incompatible-call] internalBundleGraph._graph, 'after_bundle', - BundleGraphEdgeTypes, + bundleGraphEdgeTypes, ); } @@ -250,7 +250,7 @@ class BundlerRunner { // $FlowFixMe[incompatible-call] internalBundleGraph._graph, 'after_optimize', - BundleGraphEdgeTypes, + bundleGraphEdgeTypes, ); } } @@ -286,7 +286,7 @@ class BundlerRunner { // $FlowFixMe internalBundleGraph._graph, 'after_runtimes', - BundleGraphEdgeTypes, + bundleGraphEdgeTypes, ); // Store the serialized bundle graph in an in memory cache so that we avoid serializing it From 1a07b1efcd1f5e93dd6e53286435d6744445474e Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 14 Apr 2021 22:59:03 -0700 Subject: [PATCH 005/117] add NullEdgeType to generic in Array edge types --- packages/core/core/src/Graph.js | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index c465f7dfa7a..cf07afd3bc2 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -122,7 +122,7 @@ export default class Graph { getNodesConnectedTo( node: TNode, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 0, ): Array { assertHasNode(this, node); @@ -155,7 +155,7 @@ export default class Graph { getNodesConnectedFrom( node: TNode, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 0, ): Array { assertHasNode(this, node); @@ -344,7 +344,7 @@ export default class Graph { traverse( visit: GraphVisitor, startNode: ?TNode, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 0, ): ?TContext { return this.dfs({ visit, @@ -357,7 +357,7 @@ export default class Graph { filter: (TNode, TraversalActions) => ?TValue, visit: GraphVisitor, startNode: ?TNode, - type?: TEdgeType | Array, + type?: TEdgeType | Array, ): ?TContext { return this.traverse(mapVisitor(filter, visit), startNode, type); } @@ -365,7 +365,7 @@ export default class Graph { traverseAncestors( startNode: TNode, visit: GraphVisitor, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 0, ): ?TContext { return this.dfs({ visit, From 72da0a01a064a1c4f17efbfadfd90664bc134d4b Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 21 Apr 2021 19:50:56 -0400 Subject: [PATCH 006/117] WIP: add new graph impl --- packages/core/core/src/EfficientGraph.js | 361 ++++++++++++++++++ .../core/core/test/EfficientGraph.test.js | 315 +++++++++++++++ 2 files changed, 676 insertions(+) create mode 100644 packages/core/core/src/EfficientGraph.js create mode 100644 packages/core/core/test/EfficientGraph.test.js diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js new file mode 100644 index 00000000000..49123918acb --- /dev/null +++ b/packages/core/core/src/EfficientGraph.js @@ -0,0 +1,361 @@ +// @flow +import {fromNodeId, toNodeId} from './types'; +import type {NodeId} from './types'; + +/** + * Each node is represented with 2 4-byte chunks: + * The first 4 bytes are the hash of the node's first incoming edge. + * The second 4 bytes are the hash of the node's first outgoing edge. + * + * struct Node { + * int firstIn; + * int firstOut; + * } + * + * ┌─────────────────────────┐ + * │ NODE_SIZE │ + * ├────────────┬────────────┤ + * │ FIRST_IN │ FIRST_OUT │ + * └────────────┴────────────┘ + */ +export const NODE_SIZE = 2; +/** + * Each edge is represented with 5 4-byte chunks: + * The first 4 bytes are the edge type. + * The second 4 bytes are the id of the 'from' node. + * The third 4 bytes are the id of the 'to' node. + * The fourth 4 bytes are the hash of the 'to' node's incoming edge. + * The fifth 4 bytes are the hash of the 'from' node's outgoing edge. + * + * struct Edge { + * int type; + * int from; + * int to; + * int nextIn; + * int nextOut + * } + * + * ┌────────────────────────────────────────────────────────────────┐ + * │ EDGE_SIZE │ + * ├────────────┬────────────┬────────────┬────────────┬────────────┤ + * │ TYPE │ FROM │ TO │ NEXT_IN │ NEXT_OUT │ + * └────────────┴────────────┴────────────┴────────────┴────────────┘ + */ +export const EDGE_SIZE = 5; + +/** The offset to `EDGE_SIZE` at which the edge type is stored. */ +const TYPE = 0; +/** The offset to `EDGE_SIZE` at which the 'from' node id is stored. */ +const FROM = 1; +/** The offset to `EDGE_SIZE` at which the 'to' node id is stored. */ +const TO = 2; +/** The offset to `EDGE_SIZE` at which the hash of the 'to' node's incoming edge is stored. */ +const NEXT_IN = 3; +/** The offset to `EDGE_SIZE` at which the hash of the 'from' node's incoming edge is stored. */ +const NEXT_OUT = 4; + +/** The offset to `NODE_SIZE` at which the hash of the first incoming edge is stored. */ +const FIRST_IN = 0; +/** The offset to `NODE_SIZE` at which the hash of the first outgoing edge is stored. */ +const FIRST_OUT = 1; + +type EfficientGraphOpts = {| + nodes: Uint32Array, + edges: Uint32Array, + numNodes: number, + numEdges: number, +|}; + +export default class EfficientGraph { + /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ + nodes: Uint32Array; + /** An array of edges, which each edge occupying `EDGE_SIZE` adjacent indices. */ + edges: Uint32Array; + /** The count of the number of nodes in the graph. */ + numNodes: number; + /** The count of the number of edges in the graph. */ + numEdges: number; + + constructor(nodeCapacity: number = 128, edgeCapacity: number = 256) { + // Allocate two TypedArrays, one for nodes, and one for edges. + // These are created with reasonable initial sizes, + // but will be resized as necessary. + this.nodes = new Uint32Array(nodeCapacity * NODE_SIZE); + this.edges = new Uint32Array(edgeCapacity * EDGE_SIZE); + this.numNodes = 0; + this.numEdges = 0; + } + + /** + * Create a new `EfficientGraph` from the given options. + * + * The options should match the format returned by the `serialize` method. + */ + static deserialize(opts: EfficientGraphOpts): EfficientGraph { + let res = Object.create(EfficientGraph.prototype); + res.nodes = opts.nodes; + res.edges = opts.edges; + res.numNodes = opts.numNodes; + res.numEdges = opts.numEdges; + return res; + } + + /** + * Returns a JSON-serializable object of the nodes and edges in the graph. + */ + serialize(): EfficientGraphOpts { + return { + nodes: this.nodes, + edges: this.edges, + numNodes: this.numNodes, + numEdges: this.numEdges, + }; + } + + /** + * Resize the internal nodes array. + * + * This is used in `addNode` when the `numNodes` meets or exceeds + * the allocated size of the `nodes` array. + */ + resizeNodes(size: number) { + let nodes = this.nodes; + // Allocate the required space for a `nodes` array of the given `size`. + this.nodes = new Uint32Array(size * NODE_SIZE); + // Copy the existing nodes into the new array. + this.nodes.set(nodes); + } + + /** + * Resize the internal edges array. + * + * This is used in `addEdge` when the `numEdges` meets or exceeds + * the allocated size of the `edges` array. + */ + resizeEdges(size: number) { + let edges = this.edges; + // Allocate the required space for an `edges` array of the given `size`. + this.edges = new Uint32Array(size * EDGE_SIZE); + + // Copy the existing edges into the new array. + // TODO: Understand why this is more complex than `resizeNode` + for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { + let lastOut; + for ( + let hash = this.nodes[i + FIRST_OUT]; + hash; + hash = edges[hash - 1 + NEXT_OUT] + ) { + let to = edges[hash - 1 + TO]; + let newHash = this.index(toNodeId(i), toNodeId(to)); + if (newHash === -1) { + continue; + } + + this.edges[newHash + TYPE] = edges[hash - 1 + TYPE]; + this.edges[newHash + FROM] = i; + this.edges[newHash + TO] = to; + if (lastOut != null) { + this.edges[lastOut + NEXT_OUT] = 1 + newHash; + } else { + this.nodes[i + FIRST_OUT] = 1 + newHash; + } + + lastOut = newHash; + } + + let lastIn; + for ( + let hash = this.nodes[i + FIRST_IN]; + hash; + hash = edges[hash - 1 + NEXT_IN] + ) { + let from = edges[hash - 1 + FROM]; + let newHash = this.hash(toNodeId(from), toNodeId(i)); + while (this.edges[newHash + TYPE]) { + if ( + this.edges[newHash + FROM] === from && + this.edges[newHash + TO] === i + ) { + break; + } else { + newHash = (newHash + EDGE_SIZE) % this.edges.length; + } + } + + this.edges[newHash + TYPE] = edges[hash - 1 + TYPE]; + this.edges[newHash + FROM] = from; + this.edges[newHash + TO] = i; + if (lastIn != null) { + this.edges[lastIn + NEXT_IN] = 1 + newHash; + } else { + this.nodes[i + FIRST_IN] = 1 + newHash; + } + + lastIn = newHash; + } + } + } + + /** + * Adds a node to the graph. + * + * Returns the id of the added node. + */ + addNode(): NodeId { + let id = this.numNodes; + this.numNodes++; + // If we're in danger of overflowing the `nodes` array, resize it. + if (this.numNodes >= this.nodes.length / NODE_SIZE) { + // The size of `nodes` doubles every time we reach the current capacity. + // This means in the worst case, we will have `O(n - 1)` _extra_ + // space allocated where `n` is a number nodes that is 1 more + // than the previous capacity. + this.resizeNodes((this.nodes.length / NODE_SIZE) * 2); + } + return id; + } + + /** + * Adds an edge to the graph. + * + * Returns a `true` if the edge was added, + * or `false` if the edge already exists. + */ + addEdge(from: NodeId, to: NodeId, type: number = 1): boolean { + // The percentage of utilization of the total capacity of `edges`. + let load = this.numEdges / (this.edges.length / EDGE_SIZE); + // If we're in danger of overflowing the `edges` array, resize it. + if (load > 0.7) { + // The size of `edges` doubles every time we reach the current capacity. + // This means in the worst case, we will have `O(n - 1)` _extra_ + // space allocated where `n` is a number edges that is 1 more + // than the previous capacity. + this.resizeEdges((this.edges.length / EDGE_SIZE) * 2); + } + + // We use the hash of the edge as the index for the edge. + let hash = this.index(from, to); + if (hash === -1) { + // The edge is already in the graph; do nothing. + return false; + } + + this.numEdges++; + + // Each edge takes up `EDGE_SIZE` space in the `edges` array. + // `[type, from, to, nextIncoming, nextOutgoing]` + this.edges[hash + TYPE] = type; + this.edges[hash + FROM] = fromNodeId(from); + this.edges[hash + TO] = fromNodeId(to); + this.edges[hash + NEXT_IN] = this.nodes[fromNodeId(to) + FIRST_IN]; + this.edges[hash + NEXT_OUT] = this.nodes[fromNodeId(from) + FIRST_OUT]; + // We store the hash of this edge as the `to` node's incoming edge + // and as the `from` node's outgoing edge. + // TODO: understand why `1` is added to the hash. + this.nodes[fromNodeId(to) + FIRST_IN] = 1 + hash; + this.nodes[fromNodeId(from) + FIRST_OUT] = 1 + hash; + return true; + } + + /** + * Get the index at which to add an edge connecting the `from` and `to` nodes. + * + * If an edge connecting `from` and `to` already exists, returns `-1`, + * otherwise, returns the index at which the edge should be added. + * + */ + index(from: NodeId, to: NodeId): number { + // The index is most often simply the hash of edge. + let hash = this.hash(from, to); + + // we scan the `edges` array for the next empty slot after the `hash` offset. + // We do this instead of simply using the `hash` as the index because + // it is possible for multiple edges to have the same hash. + while (this.edges[hash + TYPE]) { + if (this.edges[hash + FROM] === from && this.edges[hash + TO] === to) { + // If this edge is already in the graph, bail out. + return -1; + } else { + // There is already an edge at `hash`, + // so scan forward for the next open slot to use as the the `hash`. + // Note that each 'slot' is of size `EDGE_SIZE`. + // Also note that we handle overflow of `edges` by wrapping + // back to the beginning of the `edges` array. + hash = (hash + EDGE_SIZE) % this.edges.length; + } + } + + return hash; + } + + /** + * Check if the graph has an edge connecting the `from` and `to` nodes. + */ + hasEdge(from: NodeId, to: NodeId): boolean { + return this.index(from, to) === -1; + } + + /** + * Get the list of nodes connected from + */ + *getNodesConnectedFrom(from: NodeId): Iterable { + for ( + let i = this.nodes[fromNodeId(from) + FIRST_OUT]; + i; + i = this.edges[i - 1 + NEXT_OUT] + ) { + yield toNodeId(this.edges[i - 1 + TO]); + } + } + + /** + * Get the list of nodes whose edges from to + */ + *getNodesConnectedTo(to: NodeId): Iterable { + for ( + let i = this.nodes[fromNodeId(to) + FIRST_IN]; + i; + i = this.edges[i - 1 + NEXT_IN] + ) { + yield toNodeId(this.edges[i - 1 + FROM]); + } + } + + /** + * Create a hash of the edge connecting the `from` and `to` nodes. + * + * This hash is used to index the edge in the `edges` array. + */ + hash(from: NodeId, to: NodeId): number { + // TODO: understand this hash function + return Math.abs( + ((fromNodeId(from) + 111111) * (fromNodeId(to) - 333333) * EDGE_SIZE) % + this.edges.length, + ); + } + + // TODO: getAllEdges(): Array> { + // TODO: addNode(node: TNode): NodeId { + // TODO: hasNode(id: NodeId): boolean { + // TODO: getNode(id: NodeId): ?TNode { + // TODO: addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0): void { + // TODO: hasEdge(from: NodeId, to: NodeId, type?: TEdgeType | NullEdgeType = 0): boolean { + // TODO: removeNode(nodeId: NodeId) { + // TODO: removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 0) { + // TODO: removeEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0, removeOrphans: boolean = true) { + // TODO: _isOrphanedNode(nodeId: NodeId): boolean { + // TODO: updateNode(nodeId: NodeId, node: TNode): void { + // TODO: replaceNode(fromNodeId: NodeId, toNodeId: NodeId, type: TEdgeType | NullEdgeType = 0): void { + // TODO: replaceNodeIdsConnectedTo(fromNodeId: NodeId, toNodeIds: $ReadOnlyArray, replaceFilter?: null | ((NodeId) => boolean), type?: TEdgeType | NullEdgeType = 0,): void { + // TODO: traverse(visit: GraphVisitor, startNodeId: ?NodeId, type: TEdgeType | NullEdgeType | Array = 0): ?TContext { + // TODO: filteredTraverse(filter: (NodeId, TraversalActions) => ?TValue, visit: GraphVisitor, startNodeId: ?NodeId, type?: TEdgeType | Array): ?TContext { + // TODO: traverseAncestors(startNodeId: ?NodeId, visit: GraphVisitor, type: TEdgeType | NullEdgeType | Array = 0): ?TContext { + // TODO: dfs({visit, startNodeId, getChildren}: {| visit: GraphVisitor, getChildren(nodeId: NodeId): Array, startNodeId?: ?NodeId, |}): ?TContext { + // TODO: bfs(visit: (nodeId: NodeId) => ?boolean): ?NodeId { + // TODO: findAncestor(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): ?NodeId { + // TODO: findAncestors(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): Array { + // TODO: findDescendant(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): ?NodeId { + // TODO: findDescendants(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): Array { + // TODO: _assertHasNodeId(nodeId: NodeId) { +} diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js new file mode 100644 index 00000000000..38118e7976f --- /dev/null +++ b/packages/core/core/test/EfficientGraph.test.js @@ -0,0 +1,315 @@ +// @flow strict-local + +import assert from 'assert'; +import sinon from 'sinon'; + +import EfficientGraph, {NODE_SIZE, EDGE_SIZE} from '../src/EfficientGraph'; +import {toNodeId} from '../src/types'; + +describe.only('EfficientGraph', () => { + it('constructor should initialize an empty graph', () => { + let graph = new EfficientGraph(1, 1); + assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); + assert.deepEqual(graph.edges, new Uint32Array(1 * EDGE_SIZE)); + assert.equal(graph.numNodes, 0); + assert.equal(graph.numEdges, 0); + }); + + it('addNode should add a node to the graph', () => { + let graph = new EfficientGraph(); + let id = graph.addNode(); + assert.equal(id, 0); + assert.equal(graph.numNodes, 1); + }); + + // TODO: test 'addNode should resize nodes as needed' + + // it("errors when removeNode is called with a node that doesn't belong", () => { + // let graph = new EfficientGraph(); + // assert.throws(() => { + // graph.removeNode(toNodeId(-1)); + // }, /Does not have node/); + // }); + + // it('errors when traversing a graph with no root', () => { + // let graph = new EfficientGraph(); + + // assert.throws(() => { + // graph.traverse(() => {}); + // }, /A start node is required to traverse/); + // }); + + // it("errors when traversing a graph with a startNode that doesn't belong", () => { + // let graph = new EfficientGraph(); + + // assert.throws(() => { + // graph.traverse(() => {}, toNodeId(-1)); + // }, /Does not have node/); + // }); + + // it("errors if replaceNodeIdsConnectedTo is called with a node that doesn't belong", () => { + // let graph = new EfficientGraph(); + // assert.throws(() => { + // graph.replaceNodeIdsConnectedTo(toNodeId(-1), []); + // }, /Does not have node/); + // }); + + it("errors when adding an edge to a node that doesn't exist", () => { + let graph = new EfficientGraph(); + let node = graph.addNode(); + assert.throws(() => { + graph.addEdge(node, toNodeId(-1)); + }, /"to" node '-1' not found/); + }); + + it("errors when adding an edge from a node that doesn't exist", () => { + let graph = new EfficientGraph(); + let node = graph.addNode(); + assert.throws(() => { + graph.addEdge(toNodeId(-1), node); + }, /"from" node '-1' not found/); + }); + + // it('hasNode should return a boolean based on whether the node exists in the graph', () => { + // let graph = new EfficientGraph(); + // let node = graph.addNode(); + // assert(graph.hasNode(node)); + // assert(!graph.hasNode(toNodeId(-1))); + // }); + + it('addEdge should add an edge to the graph', () => { + let graph = new EfficientGraph(); + let nodeA = graph.addNode(); + let nodeB = graph.addNode(); + graph.addEdge(nodeA, nodeB); + assert(graph.hasEdge(nodeA, nodeB)); + }); + + // it('isOrphanedNode should return true or false if the node is orphaned or not', () => { + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // graph.addEdge(nodeA, nodeB); + // graph.addEdge(nodeA, nodeC, 1); + // assert(graph._isOrphanedNode(nodeA)); + // assert(!graph._isOrphanedNode(nodeB)); + // assert(!graph._isOrphanedNode(nodeC)); + // }); + + // it('removeEdge should prune the graph at that edge', () => { + // // a + // // / \ + // // b - d + // // / + // // c + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); + // graph.addEdge(nodeA, nodeB); + // graph.addEdge(nodeA, nodeD); + // graph.addEdge(nodeB, nodeC); + // graph.addEdge(nodeB, nodeD); + + // graph.removeEdge(nodeA, nodeB); + // assert(graph.nodes.has(nodeA)); + // assert(graph.nodes.has(nodeD)); + // assert(!graph.nodes.has(nodeB)); + // assert(!graph.nodes.has(nodeC)); + // assert.deepEqual(graph.getAllEdges(), [{from: nodeA, to: nodeD, type: 0}]); + // }); + + // it('removing a node recursively deletes orphaned nodes', () => { + // // before: + // // a + // // / \ + // // b c + // // / \ \ + // // d e f + // // / + // // g + // // + + // // after: + // // a + // // \ + // // c + // // \ + // // f + + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); + // let nodeE = graph.addNode({id: 'e', type: 'mynode', value: 'e'}); + // let nodeF = graph.addNode({id: 'f', type: 'mynode', value: 'f'}); + // let nodeG = graph.addNode({id: 'g', type: 'mynode', value: 'g'}); + + // graph.addEdge(nodeA, nodeB); + // graph.addEdge(nodeA, nodeC); + // graph.addEdge(nodeB, nodeD); + // graph.addEdge(nodeB, nodeE); + // graph.addEdge(nodeC, nodeF); + // graph.addEdge(nodeD, nodeG); + + // graph.removeNode(nodeB); + + // assert.deepEqual([...graph.nodes.keys()], [nodeA, nodeC, nodeF]); + // assert.deepEqual(graph.getAllEdges(), [ + // {from: nodeA, to: nodeC, type: 0}, + // {from: nodeC, to: nodeF, type: 0}, + // ]); + // }); + + // it('removing a node recursively deletes orphaned nodes if there is no path to the root', () => { + // // before: + // // a + // // / \ + // // b c + // // / \ \ + // // |-d e f + // // |/ + // // g + // // + + // // after: + // // a + // // \ + // // c + // // \ + // // f + + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); + // let nodeE = graph.addNode({id: 'e', type: 'mynode', value: 'e'}); + // let nodeF = graph.addNode({id: 'f', type: 'mynode', value: 'f'}); + // let nodeG = graph.addNode({id: 'g', type: 'mynode', value: 'g'}); + // graph.rootNodeId = nodeA; + + // graph.addEdge(nodeA, nodeB); + // graph.addEdge(nodeA, nodeC); + // graph.addEdge(nodeB, nodeD); + // graph.addEdge(nodeG, nodeD); + // graph.addEdge(nodeB, nodeE); + // graph.addEdge(nodeC, nodeF); + // graph.addEdge(nodeD, nodeG); + + // graph.removeNode(nodeB); + + // assert.deepEqual([...graph.nodes.keys()], [nodeA, nodeC, nodeF]); + // assert.deepEqual(graph.getAllEdges(), [ + // {from: nodeA, to: nodeC, type: 0}, + // {from: nodeC, to: nodeF, type: 0}, + // ]); + // }); + + // it('removing an edge to a node that cycles does not remove it if there is a path to the root', () => { + // // a + // // | + // // b <---- + // // / \ | + // // c d | + // // \ / | + // // e ----- + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); + // let nodeE = graph.addNode({id: 'e', type: 'mynode', value: 'e'}); + // graph.rootNodeId = nodeA; + + // graph.addEdge(nodeA, nodeB); + // graph.addEdge(nodeB, nodeC); + // graph.addEdge(nodeB, nodeD); + // graph.addEdge(nodeC, nodeE); + // graph.addEdge(nodeD, nodeE); + // graph.addEdge(nodeE, nodeB); + + // const getNodeIds = () => [...graph.nodes.keys()]; + // let nodesBefore = getNodeIds(); + + // graph.removeEdge(nodeC, nodeE); + + // assert.deepEqual(nodesBefore, getNodeIds()); + // assert.deepEqual(graph.getAllEdges(), [ + // {from: nodeA, to: nodeB, type: 0}, + // {from: nodeB, to: nodeC, type: 0}, + // {from: nodeB, to: nodeD, type: 0}, + // {from: nodeD, to: nodeE, type: 0}, + // {from: nodeE, to: nodeB, type: 0}, + // ]); + // }); + + // it('removing a node with only one inbound edge does not cause it to be removed as an orphan', () => { + // let graph = new EfficientGraph(); + + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // graph.rootNodeId = nodeA; + + // graph.addEdge(nodeA, nodeB); + + // let spy = sinon.spy(graph, 'removeNode'); + // try { + // graph.removeNode(nodeB); + + // assert(spy.calledOnceWithExactly(nodeB)); + // } finally { + // spy.restore(); + // } + // }); + + // it("replaceNodeIdsConnectedTo should update a node's downstream nodes", () => { + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // graph.addEdge(nodeA, nodeB); + // graph.addEdge(nodeA, nodeC); + + // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); + // graph.replaceNodeIdsConnectedTo(nodeA, [nodeB, nodeD]); + + // assert(graph.hasNode(nodeA)); + // assert(graph.hasNode(nodeB)); + // assert(!graph.hasNode(nodeC)); + // assert(graph.hasNode(nodeD)); + // assert.deepEqual(graph.getAllEdges(), [ + // {from: nodeA, to: nodeB, type: 0}, + // {from: nodeA, to: nodeD, type: 0}, + // ]); + // }); + + // it('traverses along edge types if a filter is given', () => { + // let graph = new EfficientGraph(); + // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); + // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); + // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); + // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); + + // graph.addEdge(nodeA, nodeB, 1); + // graph.addEdge(nodeA, nodeD); + // graph.addEdge(nodeB, nodeC); + // graph.addEdge(nodeB, nodeD, 1); + + // graph.rootNodeId = nodeA; + + // let visited = []; + // graph.traverse( + // nodeId => { + // visited.push(nodeId); + // }, + // null, // use root as startNode + // 1, + // ); + + // assert.deepEqual(visited, [nodeA, nodeB, nodeD]); + // }); +}); From 5c9fb37381e29263a3be13e41cf6899d9c32f5b1 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 22 Apr 2021 14:57:02 -0400 Subject: [PATCH 007/117] Update EfficientGraph plan --- packages/core/core/src/EfficientGraph.js | 32 +++++++----------------- 1 file changed, 9 insertions(+), 23 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 49123918acb..c2e86d5bf7a 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -213,7 +213,7 @@ export default class EfficientGraph { // than the previous capacity. this.resizeNodes((this.nodes.length / NODE_SIZE) * 2); } - return id; + return toNodeId(id); } /** @@ -335,27 +335,13 @@ export default class EfficientGraph { ); } - // TODO: getAllEdges(): Array> { - // TODO: addNode(node: TNode): NodeId { - // TODO: hasNode(id: NodeId): boolean { - // TODO: getNode(id: NodeId): ?TNode { - // TODO: addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0): void { + // Need to be updated to support `type` // TODO: hasEdge(from: NodeId, to: NodeId, type?: TEdgeType | NullEdgeType = 0): boolean { - // TODO: removeNode(nodeId: NodeId) { - // TODO: removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 0) { - // TODO: removeEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0, removeOrphans: boolean = true) { - // TODO: _isOrphanedNode(nodeId: NodeId): boolean { - // TODO: updateNode(nodeId: NodeId, node: TNode): void { - // TODO: replaceNode(fromNodeId: NodeId, toNodeId: NodeId, type: TEdgeType | NullEdgeType = 0): void { - // TODO: replaceNodeIdsConnectedTo(fromNodeId: NodeId, toNodeIds: $ReadOnlyArray, replaceFilter?: null | ((NodeId) => boolean), type?: TEdgeType | NullEdgeType = 0,): void { - // TODO: traverse(visit: GraphVisitor, startNodeId: ?NodeId, type: TEdgeType | NullEdgeType | Array = 0): ?TContext { - // TODO: filteredTraverse(filter: (NodeId, TraversalActions) => ?TValue, visit: GraphVisitor, startNodeId: ?NodeId, type?: TEdgeType | Array): ?TContext { - // TODO: traverseAncestors(startNodeId: ?NodeId, visit: GraphVisitor, type: TEdgeType | NullEdgeType | Array = 0): ?TContext { - // TODO: dfs({visit, startNodeId, getChildren}: {| visit: GraphVisitor, getChildren(nodeId: NodeId): Array, startNodeId?: ?NodeId, |}): ?TContext { - // TODO: bfs(visit: (nodeId: NodeId) => ?boolean): ?NodeId { - // TODO: findAncestor(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): ?NodeId { - // TODO: findAncestors(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): Array { - // TODO: findDescendant(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): ?NodeId { - // TODO: findDescendants(nodeId: NodeId, fn: (nodeId: NodeId) => boolean): Array { - // TODO: _assertHasNodeId(nodeId: NodeId) { + // TODO: getNodesConnectedFrom() + // TODO: getNodesConnectedTo() + + // AdjacencyList + // removeEdge(from: NodeId, to: NodeId, type: TEdgeType): void { + // getEdges(from: NodeId, type: TEdgeType): $ReadOnlySet { + // getEdgesByType(from: NodeId): $ReadOnlyMap> { } From 2fe8cd88af91b4b790a235fd9ea751c9f5267c1f Mon Sep 17 00:00:00 2001 From: thebriando Date: Fri, 23 Apr 2021 17:08:42 -0700 Subject: [PATCH 008/117] add support for edge types in getNodesConnectedTo/From, index, hasEdge --- packages/core/core/src/EfficientGraph.js | 25 +++++++---- .../core/core/test/EfficientGraph.test.js | 42 ++++++++++++++++++- 2 files changed, 58 insertions(+), 9 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index c2e86d5bf7a..841ae24f109 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -265,7 +265,7 @@ export default class EfficientGraph { * otherwise, returns the index at which the edge should be added. * */ - index(from: NodeId, to: NodeId): number { + index(from: NodeId, to: NodeId, type: number = 1): number { // The index is most often simply the hash of edge. let hash = this.hash(from, to); @@ -273,7 +273,12 @@ export default class EfficientGraph { // We do this instead of simply using the `hash` as the index because // it is possible for multiple edges to have the same hash. while (this.edges[hash + TYPE]) { - if (this.edges[hash + FROM] === from && this.edges[hash + TO] === to) { + if ( + this.edges[hash + FROM] === from && + this.edges[hash + TO] === to && + // if type === 1, the edge type isn't specified, so return + (type === 1 || this.edges[hash + TYPE] === type) + ) { // If this edge is already in the graph, bail out. return -1; } else { @@ -292,33 +297,37 @@ export default class EfficientGraph { /** * Check if the graph has an edge connecting the `from` and `to` nodes. */ - hasEdge(from: NodeId, to: NodeId): boolean { - return this.index(from, to) === -1; + hasEdge(from: NodeId, to: NodeId, type: number = 1): boolean { + return this.index(from, to, type) === -1; } /** * Get the list of nodes connected from */ - *getNodesConnectedFrom(from: NodeId): Iterable { + *getNodesConnectedFrom(from: NodeId, type: number = 1): Iterable { for ( let i = this.nodes[fromNodeId(from) + FIRST_OUT]; i; i = this.edges[i - 1 + NEXT_OUT] ) { - yield toNodeId(this.edges[i - 1 + TO]); + if (type === 1 || this.edges[i - 1] === type) { + yield toNodeId(this.edges[i - 1 + TO]); + } } } /** * Get the list of nodes whose edges from to */ - *getNodesConnectedTo(to: NodeId): Iterable { + *getNodesConnectedTo(to: NodeId, type: number = 1): Iterable { for ( let i = this.nodes[fromNodeId(to) + FIRST_IN]; i; i = this.edges[i - 1 + NEXT_IN] ) { - yield toNodeId(this.edges[i - 1 + FROM]); + if (type === 1 || this.edges[i - 1] === type) { + yield toNodeId(this.edges[i - 1 + FROM]); + } } } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 38118e7976f..ee5a9410851 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -77,7 +77,7 @@ describe.only('EfficientGraph', () => { // assert(!graph.hasNode(toNodeId(-1))); // }); - it('addEdge should add an edge to the graph', () => { + it.only('addEdge should add an edge to the graph', () => { let graph = new EfficientGraph(); let nodeA = graph.addNode(); let nodeB = graph.addNode(); @@ -85,6 +85,46 @@ describe.only('EfficientGraph', () => { assert(graph.hasEdge(nodeA, nodeB)); }); + it.only('hasEdge should return true for existing edges', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(2), toNodeId(3), 2); + assert(graph.hasEdge(toNodeId(2), toNodeId(3))); + assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); + }); + + it.only('hasEdge should return false for nonexistent edges', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(2), toNodeId(3), 2); + assert(!graph.hasEdge(toNodeId(3), toNodeId(2))); + assert(!graph.hasEdge(toNodeId(2), toNodeId(3), 3)); + }); + + it.only('getNodesConnectedFrom returns correct node ids', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(2), toNodeId(3), 2); + graph.addEdge(toNodeId(2), toNodeId(3), 3); + graph.addEdge(toNodeId(2), toNodeId(4)); + graph.addEdge(toNodeId(3), toNodeId(4)); + + // should only return nodes with edge type 2 + assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2), 2)], [3]); + // should return all nodes connected from 2 + assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2))], [4, 3]); + }); + + it.only('getNodesConnectedTo returns correct node ids', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(2), toNodeId(3), 2); + graph.addEdge(toNodeId(2), toNodeId(3), 3); + graph.addEdge(toNodeId(2), toNodeId(4)); + graph.addEdge(toNodeId(3), toNodeId(4), 2); + + // should only return nodes with edge type 2 + assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4), 2)], [3]); + // should return all nodes connected to 4 + assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4))], [3, 2]); + }); + // it('isOrphanedNode should return true or false if the node is orphaned or not', () => { // let graph = new EfficientGraph(); // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); From a5065fee3bc4ec31bfeeaa4cc40d2f4720d3ae8e Mon Sep 17 00:00:00 2001 From: thebriando Date: Fri, 23 Apr 2021 18:18:02 -0700 Subject: [PATCH 009/117] naive getAllEdges implementation --- packages/core/core/src/EfficientGraph.js | 34 +++++++++++++++++++ .../core/core/test/EfficientGraph.test.js | 25 +++++++++++--- 2 files changed, 54 insertions(+), 5 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 841ae24f109..c9be9e6ef8e 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -294,6 +294,37 @@ export default class EfficientGraph { return hash; } + // Probably not the best way to do this + // Doesn't work if you add multiple edges between the same nodes + // ex: + // graph.addEdge(1, 2, 2) + // graph.addEdge(1, 2, 3) + // graph.getAllEdges() only returns [{from: 1, to: 2, type: 2}] + getAllEdges(): Array<{| + from: number, + to: number, + type: number, + // nextIn: number, + // nextOut: number, + |}> { + let edgeObjs = []; + let i = 0; + while (i < this.edges.length) { + if (this.edges[i + TYPE]) { + edgeObjs.push({ + from: this.edges[i + FROM], + to: this.edges[i + TO], + type: this.edges[i + TYPE], + // nextIn: this.edges[i + NEXT_IN], + // nextOut: this.edges[i + NEXT_OUT], + }); + i += EDGE_SIZE; + } + i++; + } + return edgeObjs; + } + /** * Check if the graph has an edge connecting the `from` and `to` nodes. */ @@ -335,6 +366,9 @@ export default class EfficientGraph { * Create a hash of the edge connecting the `from` and `to` nodes. * * This hash is used to index the edge in the `edges` array. + * + * This might need to include the type as well if we assume that + * multiple edges can exist between two of the same nodes */ hash(from: NodeId, to: NodeId): number { // TODO: understand this hash function diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index ee5a9410851..c368bba2aed 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -77,7 +77,22 @@ describe.only('EfficientGraph', () => { // assert(!graph.hasNode(toNodeId(-1))); // }); - it.only('addEdge should add an edge to the graph', () => { + it('getAllEdges returns all edges', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(1), toNodeId(2), 2); + graph.addEdge(toNodeId(1), toNodeId(2), 3); + graph.addEdge(toNodeId(4), toNodeId(5)); + assert.deepEqual( + [...graph.getAllEdges()], + [ + {from: 1, to: 2, type: 2}, + {from: 1, to: 2, type: 3}, + {from: 4, to: 5, type: 1}, + ], + ); + }); + + it('addEdge should add an edge to the graph', () => { let graph = new EfficientGraph(); let nodeA = graph.addNode(); let nodeB = graph.addNode(); @@ -85,21 +100,21 @@ describe.only('EfficientGraph', () => { assert(graph.hasEdge(nodeA, nodeB)); }); - it.only('hasEdge should return true for existing edges', () => { + it('hasEdge should return true for existing edges', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); assert(graph.hasEdge(toNodeId(2), toNodeId(3))); assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); }); - it.only('hasEdge should return false for nonexistent edges', () => { + it('hasEdge should return false for nonexistent edges', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); assert(!graph.hasEdge(toNodeId(3), toNodeId(2))); assert(!graph.hasEdge(toNodeId(2), toNodeId(3), 3)); }); - it.only('getNodesConnectedFrom returns correct node ids', () => { + it('getNodesConnectedFrom returns correct node ids', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); graph.addEdge(toNodeId(2), toNodeId(3), 3); @@ -112,7 +127,7 @@ describe.only('EfficientGraph', () => { assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2))], [4, 3]); }); - it.only('getNodesConnectedTo returns correct node ids', () => { + it('getNodesConnectedTo returns correct node ids', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); graph.addEdge(toNodeId(2), toNodeId(3), 3); From 9661bf5845d00ee2046716a6d2399cc9e2798bef Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 26 Apr 2021 11:40:23 -0700 Subject: [PATCH 010/117] support array of edge types in getNodesConnectedFrom/to --- packages/core/core/src/EfficientGraph.js | 44 ++++++++++++++++--- .../core/core/test/EfficientGraph.test.js | 33 ++++++++++++++ 2 files changed, 71 insertions(+), 6 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index c9be9e6ef8e..f343cb12e8f 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -59,6 +59,8 @@ const FIRST_IN = 0; /** The offset to `NODE_SIZE` at which the hash of the first outgoing edge is stored. */ const FIRST_OUT = 1; +export const ALL_EDGE_TYPES = '@@all_edge_types'; + type EfficientGraphOpts = {| nodes: Uint32Array, edges: Uint32Array, @@ -335,14 +337,29 @@ export default class EfficientGraph { /** * Get the list of nodes connected from */ - *getNodesConnectedFrom(from: NodeId, type: number = 1): Iterable { + *getNodesConnectedFrom( + from: NodeId, + type: number | Array = 1, + ): Iterable { for ( let i = this.nodes[fromNodeId(from) + FIRST_OUT]; i; i = this.edges[i - 1 + NEXT_OUT] ) { - if (type === 1 || this.edges[i - 1] === type) { - yield toNodeId(this.edges[i - 1 + TO]); + if (Array.isArray(type)) { + for (let typeNum of type) { + if (typeNum === 1 || this.edges[i - 1] === typeNum) { + yield toNodeId(this.edges[i - 1 + TO]); + } + } + } else { + if ( + type === 1 || + type === ALL_EDGE_TYPES || + this.edges[i - 1] === type + ) { + yield toNodeId(this.edges[i - 1 + TO]); + } } } } @@ -350,14 +367,29 @@ export default class EfficientGraph { /** * Get the list of nodes whose edges from to */ - *getNodesConnectedTo(to: NodeId, type: number = 1): Iterable { + *getNodesConnectedTo( + to: NodeId, + type: number | Array = 1, + ): Iterable { for ( let i = this.nodes[fromNodeId(to) + FIRST_IN]; i; i = this.edges[i - 1 + NEXT_IN] ) { - if (type === 1 || this.edges[i - 1] === type) { - yield toNodeId(this.edges[i - 1 + FROM]); + if (Array.isArray(type)) { + for (let typeNum of type) { + if (typeNum === 1 || this.edges[i - 1] === typeNum) { + yield toNodeId(this.edges[i - 1 + FROM]); + } + } + } else { + if ( + type === 1 || + type === ALL_EDGE_TYPES || + this.edges[i - 1] === type + ) { + yield toNodeId(this.edges[i - 1 + FROM]); + } } } } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index c368bba2aed..f9f0208f008 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -127,6 +127,23 @@ describe.only('EfficientGraph', () => { assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2))], [4, 3]); }); + it('getNodesConnectedFrom returns correct node ids with multiple edge types', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(2), toNodeId(3), 2); + graph.addEdge(toNodeId(2), toNodeId(4), 3); + graph.addEdge(toNodeId(2), toNodeId(5), 4); + + assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2), [3])], [4]); + assert.deepEqual( + [...graph.getNodesConnectedFrom(toNodeId(2), [2, 3])], + [4, 3], + ); + assert.deepEqual( + [...graph.getNodesConnectedFrom(toNodeId(2), [2, 3, 4])], + [5, 4, 3], + ); + }); + it('getNodesConnectedTo returns correct node ids', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); @@ -140,6 +157,22 @@ describe.only('EfficientGraph', () => { assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4))], [3, 2]); }); + it('getNodesConnectedTo returns correct node ids with multiple edge types', () => { + let graph = new EfficientGraph(); + graph.addEdge(toNodeId(1), toNodeId(5), 2); + graph.addEdge(toNodeId(2), toNodeId(5), 3); + graph.addEdge(toNodeId(3), toNodeId(5), 4); + + assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(5), [3])], [2]); + assert.deepEqual( + [...graph.getNodesConnectedTo(toNodeId(5), [2, 3])], + [2, 1], + ); + assert.deepEqual( + [...graph.getNodesConnectedTo(toNodeId(5), [2, 3, 4])], + [3, 2, 1], + ); + }); // it('isOrphanedNode should return true or false if the node is orphaned or not', () => { // let graph = new EfficientGraph(); // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); From e9e08b03ebe0f4b9dafff4f6b951fb0464040407 Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 26 Apr 2021 12:40:20 -0700 Subject: [PATCH 011/117] fix behavior for getting nodes for all edge types --- packages/core/core/src/EfficientGraph.js | 12 ++----- .../core/core/test/EfficientGraph.test.js | 35 ++++++++++++++----- 2 files changed, 28 insertions(+), 19 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index f343cb12e8f..0780b5b199e 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -353,11 +353,7 @@ export default class EfficientGraph { } } } else { - if ( - type === 1 || - type === ALL_EDGE_TYPES || - this.edges[i - 1] === type - ) { + if (type === ALL_EDGE_TYPES || this.edges[i - 1] === type) { yield toNodeId(this.edges[i - 1 + TO]); } } @@ -383,11 +379,7 @@ export default class EfficientGraph { } } } else { - if ( - type === 1 || - type === ALL_EDGE_TYPES || - this.edges[i - 1] === type - ) { + if (type === ALL_EDGE_TYPES || this.edges[i - 1] === type) { yield toNodeId(this.edges[i - 1 + FROM]); } } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index f9f0208f008..b26c2486b8c 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -3,7 +3,11 @@ import assert from 'assert'; import sinon from 'sinon'; -import EfficientGraph, {NODE_SIZE, EDGE_SIZE} from '../src/EfficientGraph'; +import EfficientGraph, { + ALL_EDGE_TYPES, + NODE_SIZE, + EDGE_SIZE, +} from '../src/EfficientGraph'; import {toNodeId} from '../src/types'; describe.only('EfficientGraph', () => { @@ -116,15 +120,21 @@ describe.only('EfficientGraph', () => { it('getNodesConnectedFrom returns correct node ids', () => { let graph = new EfficientGraph(); - graph.addEdge(toNodeId(2), toNodeId(3), 2); - graph.addEdge(toNodeId(2), toNodeId(3), 3); - graph.addEdge(toNodeId(2), toNodeId(4)); + graph.addEdge(toNodeId(2), toNodeId(3)); + graph.addEdge(toNodeId(2), toNodeId(4), 2); + graph.addEdge(toNodeId(2), toNodeId(5), 3); graph.addEdge(toNodeId(3), toNodeId(4)); - // should only return nodes with edge type 2 - assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2), 2)], [3]); + // should only return nodes connected from 2 with edge type 2 + assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2), 2)], [4]); + // should return all nodes connected from 2 with edge type of 1 + assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2))], [3]); // should return all nodes connected from 2 - assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2))], [4, 3]); + assert.deepEqual( + // $FlowFixMe + [...graph.getNodesConnectedFrom(toNodeId(2), ALL_EDGE_TYPES)], + [5, 4, 3], + ); }); it('getNodesConnectedFrom returns correct node ids with multiple edge types', () => { @@ -146,15 +156,22 @@ describe.only('EfficientGraph', () => { it('getNodesConnectedTo returns correct node ids', () => { let graph = new EfficientGraph(); + graph.addEdge(toNodeId(1), toNodeId(4), 6); graph.addEdge(toNodeId(2), toNodeId(3), 2); graph.addEdge(toNodeId(2), toNodeId(3), 3); graph.addEdge(toNodeId(2), toNodeId(4)); graph.addEdge(toNodeId(3), toNodeId(4), 2); - // should only return nodes with edge type 2 + // should only return nodes connected to 4 with edge type 2 assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4), 2)], [3]); + // should return all nodes connected to 4 with edge type of 1 + assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4))], [2]); // should return all nodes connected to 4 - assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4))], [3, 2]); + assert.deepEqual( + // $FlowFixMe + [...graph.getNodesConnectedTo(toNodeId(4), ALL_EDGE_TYPES)], + [3, 2, 1], + ); }); it('getNodesConnectedTo returns correct node ids with multiple edge types', () => { From 493c36f076e559fd7d8f3e454a78e3d7170c3317 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 27 Apr 2021 18:09:07 -0400 Subject: [PATCH 012/117] Annotate resizeEdges --- packages/core/core/src/EfficientGraph.js | 85 ++++++++++++++++-------- 1 file changed, 56 insertions(+), 29 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 0780b5b199e..9afc18726d8 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -135,66 +135,93 @@ export default class EfficientGraph { * the allocated size of the `edges` array. */ resizeEdges(size: number) { + /** The edge list to be copied to the resized list. */ let edges = this.edges; // Allocate the required space for an `edges` array of the given `size`. this.edges = new Uint32Array(size * EDGE_SIZE); - // Copy the existing edges into the new array. - // TODO: Understand why this is more complex than `resizeNode` - for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { - let lastOut; + // For each node in the graph, copy the existing edges into the new array. + for ( + /** The next node with edges to copy. */ + let from = 0; + from < this.nodes.length; + from += NODE_SIZE + ) { + /** The last edge copied. */ + let lastHash; for ( - let hash = this.nodes[i + FIRST_OUT]; + /** The next edge to be copied. */ + let hash = this.nodes[from + FIRST_OUT]; hash; hash = edges[hash - 1 + NEXT_OUT] ) { + /** The node that the next outgoing edge connects to. */ let to = edges[hash - 1 + TO]; - let newHash = this.index(toNodeId(i), toNodeId(to)); - if (newHash === -1) { + /** The index at which to copy this edge. */ + let index = this.index(toNodeId(from), toNodeId(to)); + if (index === -1) { + // Edge already copied? continue; } - this.edges[newHash + TYPE] = edges[hash - 1 + TYPE]; - this.edges[newHash + FROM] = i; - this.edges[newHash + TO] = to; - if (lastOut != null) { - this.edges[lastOut + NEXT_OUT] = 1 + newHash; + // Copy the details of the edge into the new edge list. + this.edges[index + TYPE] = edges[hash - 1 + TYPE]; + this.edges[index + FROM] = from; + this.edges[index + TO] = to; + if (lastHash != null) { + // If this edge is not the first outgoing edge from the current node, + // link this edge to the last outgoing edge copied. + this.edges[lastHash + NEXT_OUT] = 1 + index; } else { - this.nodes[i + FIRST_OUT] = 1 + newHash; + // If this edge is the first outgoing edge from the current node, + // link this edge to the current node. + this.nodes[from + FIRST_OUT] = 1 + index; } - - lastOut = newHash; + // Keep track of the last outgoing edge copied. + lastHash = index; } - let lastIn; + // Reset lastHash for use while copying incoming edges. + lastHash = undefined; for ( - let hash = this.nodes[i + FIRST_IN]; + /** The next incoming edge to be copied. */ + let hash = this.nodes[from + FIRST_IN]; hash; hash = edges[hash - 1 + NEXT_IN] ) { + /** The node that the next incoming edge connects from. */ let from = edges[hash - 1 + FROM]; - let newHash = this.hash(toNodeId(from), toNodeId(i)); - while (this.edges[newHash + TYPE]) { + /** The index at which to copy this edge. */ + let index = this.hash(toNodeId(from), toNodeId(from)); + // If there is a hash collision, + // scan the edges array for a space to copy the edge. + while (this.edges[index + TYPE]) { if ( - this.edges[newHash + FROM] === from && - this.edges[newHash + TO] === i + this.edges[index + FROM] === from && + this.edges[index + TO] === from ) { break; } else { - newHash = (newHash + EDGE_SIZE) % this.edges.length; + index = (index + EDGE_SIZE) % this.edges.length; } } - this.edges[newHash + TYPE] = edges[hash - 1 + TYPE]; - this.edges[newHash + FROM] = from; - this.edges[newHash + TO] = i; - if (lastIn != null) { - this.edges[lastIn + NEXT_IN] = 1 + newHash; + // Copy the details of the edge into the new edge list. + this.edges[index + TYPE] = edges[hash - 1 + TYPE]; + this.edges[index + FROM] = from; + this.edges[index + TO] = from; + if (lastHash != null) { + // If this edge is not the first incoming edge to the current node, + // link this edge to the last incoming edge copied. + this.edges[lastHash + NEXT_IN] = 1 + index; } else { - this.nodes[i + FIRST_IN] = 1 + newHash; + // If this edge is the first incoming edge from the current node, + // link this edge to the current node. + this.nodes[from + FIRST_IN] = 1 + index; } - lastIn = newHash; + // Keep track of the last edge copied. + lastHash = index; } } } From e7a61467b531a9aec70d21e0a2f460b85d09aa88 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 4 May 2021 16:20:11 -0400 Subject: [PATCH 013/117] Add graphviz() method This is not likely to stay here; it is probably better integrated into some test or benchmarking utilities (like `dumpGraphToGraphviz`). --- packages/core/core/src/EfficientGraph.js | 267 +++++++++++++++++++++++ 1 file changed, 267 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 9afc18726d8..282586372ff 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -1,6 +1,7 @@ // @flow import {fromNodeId, toNodeId} from './types'; import type {NodeId} from './types'; +import {digraph} from 'graphviz'; /** * Each node is represented with 2 4-byte chunks: @@ -429,6 +430,17 @@ export default class EfficientGraph { ); } + graphviz(type: 'graph' | 'edges' | 'nodes' = 'graph'): string { + switch (type) { + case 'edges': + return edgesToDot(this); + case 'nodes': + return nodesToDot(this); + default: + return toDot(this); + } + } + // Need to be updated to support `type` // TODO: hasEdge(from: NodeId, to: NodeId, type?: TEdgeType | NullEdgeType = 0): boolean { // TODO: getNodesConnectedFrom() @@ -439,3 +451,258 @@ export default class EfficientGraph { // getEdges(from: NodeId, type: TEdgeType): $ReadOnlySet { // getEdgesByType(from: NodeId): $ReadOnlyMap> { } + +let nodeColor = {color: 'black', fontcolor: 'black'}; +let emptyColor = {color: 'darkgray', fontcolor: 'darkgray'}; +let edgeColor = {color: 'brown', fontcolor: 'brown'}; + +function toDot(data: EfficientGraph): string { + let g = digraph('G'); + g.set('rankdir', 'LR'); + g.setNodeAttribut('fontsize', 8); + g.setNodeAttribut('height', 0); + g.setNodeAttribut('shape', 'square'); + g.setEdgeAttribut('fontsize', 8); + g.setEdgeAttribut('arrowhead', 'open'); + + let graph = g.addCluster('clusterGraph'); + graph.set('label', 'Graph'); + graph.setEdgeAttribut('color', edgeColor.color); + graph.setEdgeAttribut('fontcolor', edgeColor.fontcolor); + + let adjacencyList = g.addCluster('clusterAdjacencyList'); + adjacencyList.set('label', 'AdjacencyList'); + adjacencyList.setNodeAttribut('shape', 'record'); + adjacencyList.setNodeAttribut('color', edgeColor.color); + adjacencyList.setNodeAttribut('fontcolor', edgeColor.color); + adjacencyList.setEdgeAttribut('color', edgeColor.color); + adjacencyList.setEdgeAttribut('fontcolor', edgeColor.color); + adjacencyList.setEdgeAttribut('fontsize', 6); + + for (let i = 0; i < data.edges.length; i++) { + let type = data.edges[i + TYPE]; + if (type) { + let from = data.edges[i + FROM]; + let to = data.edges[i + TO]; + let nextIn = data.edges[i + NEXT_IN]; + let nextOut = data.edges[i + NEXT_OUT]; + // TODO: add type to label? + let label = String(i + 1); + + let fromFirstIn = data.nodes[from + FIRST_IN]; + let fromFirstOut = data.nodes[from + FIRST_OUT]; + let toFirstIn = data.nodes[to + FIRST_IN]; + let toFirstOut = data.nodes[to + FIRST_OUT]; + + graph.addEdge(String(from), String(to), {label}); + + adjacencyList.addNode(`node${from}`, { + label: `node ${from} | { ${fromFirstIn} | ${fromFirstOut} }`, + ...nodeColor, + }); + + adjacencyList.addNode(`edge${label}`, { + label: `edge ${label} | { ${type} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, + }); + + adjacencyList.addNode(`node${to}`, { + label: `node ${to} | { ${toFirstIn} | ${toFirstOut} }`, + ...nodeColor, + }); + + adjacencyList.addEdge(`edge${label}`, `node${from}`, { + tailport: 'FROM', + label: 'FROM', + style: 'dashed', + }); + + adjacencyList.addEdge(`edge${label}`, `node${to}`, { + label: 'TO', + tailport: 'TO', + }); + + if (nextIn) { + adjacencyList.addEdge(`edge${label}`, `edge${nextIn}`, { + tailport: 'NEXT_IN', + label: 'NEXT_IN', + style: 'dashed', + }); + } + + if (nextOut) { + adjacencyList.addEdge(`edge${label}`, `edge${nextOut}`, { + label: 'NEXT_OUT', + tailport: 'NEXT_OUT', + }); + } + + if (fromFirstIn) { + adjacencyList.addEdge(`node${from}`, `edge${label}`, { + tailport: 'FIRST_IN', + label: 'FIRST_IN', + ...nodeColor, + }); + } + + if (fromFirstOut) { + adjacencyList.addEdge(`node${from}`, `edge${label}`, { + tailport: 'FIRST_OUT', + label: 'FIRST_OUT', + ...nodeColor, + }); + } + + if (toFirstIn) { + adjacencyList.addEdge(`node${to}`, `edge${label}`, { + tailport: 'FIRST_IN', + label: 'FIRST_IN', + ...nodeColor, + }); + } + + if (toFirstOut) { + adjacencyList.addEdge(`node${to}`, `edge${label}`, { + tailport: 'FIRST_OUT', + label: 'FIRST_OUT', + ...nodeColor, + }); + } + + i += EDGE_SIZE; + } + } + + return g.to_dot(); +} + +function nodesToDot(data: EfficientGraph): string { + let g = digraph('G'); + g.set('rankdir', 'LR'); + g.set('nodesep', 0); + g.set('ranksep', 0); + g.setNodeAttribut('fontsize', 8); + g.setNodeAttribut('height', 0); + g.setNodeAttribut('shape', 'square'); + g.setEdgeAttribut('fontsize', 8); + g.setEdgeAttribut('arrowhead', 'open'); + + let nodes = g.addCluster('clusterNodes'); + nodes.set('label', 'Nodes'); + nodes.setNodeAttribut('shape', 'record'); + nodes.setEdgeAttribut('fontsize', 6); + nodes.setEdgeAttribut('style', 'invis'); + + let lastOut = 0; + for (let i = 0; i < data.nodes.length / NODE_SIZE; i++) { + let firstIn = data.nodes[i + FIRST_IN]; + let firstOut = data.nodes[i + FIRST_OUT]; + if (firstIn || firstOut) { + if (lastOut < i - FIRST_OUT) { + if (lastOut === 0) { + nodes.addNode(`node${lastOut}`, { + label: `${lastOut}…${i - 1} | `, + ...emptyColor, + }); + } else { + nodes.addNode(`node${lastOut + 1}`, { + label: `${lastOut + 1}…${i - 1} | `, + ...emptyColor, + }); + nodes.addEdge(`node${lastOut}`, `node${lastOut + 1}`); + lastOut += 1; + } + } + nodes.addNode(`node${i}`, { + label: `${i} | {${firstIn} | ${firstOut}}`, + }); + nodes.addEdge(`node${lastOut}`, `node${i}`); + lastOut = i; + } else if (i === data.nodes.length / NODE_SIZE - 1) { + if (lastOut < i - FIRST_OUT) { + if (lastOut === 0) { + nodes.addNode(`node${lastOut}`, { + label: `${lastOut}…${i - 1} | `, + ...emptyColor, + }); + } else { + nodes.addNode(`node${lastOut + 1}`, { + label: `${lastOut + 1}…${i - 1} | `, + ...emptyColor, + }); + nodes.addEdge(`node${lastOut}`, `node${lastOut + 1}`); + } + } + } + } + + return g.to_dot(); +} + +function edgesToDot(data: EfficientGraph): string { + let g = digraph('G'); + g.set('rankdir', 'LR'); + g.set('nodesep', 0); + g.set('ranksep', 0); + g.setNodeAttribut('fontsize', 8); + g.setNodeAttribut('height', 0); + g.setNodeAttribut('shape', 'square'); + g.setEdgeAttribut('fontsize', 8); + g.setEdgeAttribut('arrowhead', 'open'); + + let edges = g.addCluster('clusterEdges'); + edges.set('label', 'Edges'); + edges.setNodeAttribut('shape', 'record'); + edges.setEdgeAttribut('fontsize', 6); + edges.setEdgeAttribut('style', 'invis'); + + let lastOut = 1; + for (let i = 1; i < data.edges.length + 1; i += EDGE_SIZE) { + let type = data.edges[i - 1 + TYPE]; + if (type) { + let from = data.edges[i - 1 + FROM]; + let to = data.edges[i - 1 + TO]; + let nextIn = data.edges[i - 1 + NEXT_IN]; + let nextOut = data.edges[i - 1 + NEXT_OUT]; + + if (lastOut < i - EDGE_SIZE) { + if (lastOut === 1) { + edges.addNode(`edge${lastOut}`, { + label: `${lastOut}…${i - EDGE_SIZE} | `, + ...emptyColor, + }); + } else { + edges.addNode(`edge${lastOut + EDGE_SIZE}`, { + label: `${lastOut + EDGE_SIZE}…${i - EDGE_SIZE} | `, + ...emptyColor, + }); + edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); + lastOut += EDGE_SIZE; + } + } + + edges.addNode(`edge${i}`, { + label: `${i} | {${type} | ${from} | ${to} | ${nextIn} | ${nextOut}}`, + }); + + edges.addEdge(`edge${lastOut}`, `edge${i}`); + lastOut = i; + } else if (i === data.edges.length + 1 - EDGE_SIZE) { + if (lastOut < i - EDGE_SIZE) { + if (lastOut === 1) { + edges.addNode(`edge${lastOut}`, { + label: `${lastOut}…${i - EDGE_SIZE} | `, + ...emptyColor, + }); + } else { + edges.addNode(`edge${lastOut + EDGE_SIZE}`, { + label: `${lastOut + EDGE_SIZE}…${i - EDGE_SIZE} | `, + ...emptyColor, + }); + edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); + } + } + } + } + + return g.to_dot(); +} From 28cbf62c23f4b6ba37b817486a823444ed08a030 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 6 May 2021 14:14:55 -0400 Subject: [PATCH 014/117] Add openGraphViz util --- packages/core/core/src/EfficientGraph.js | 29 +++++++++++++++++++++++- 1 file changed, 28 insertions(+), 1 deletion(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 282586372ff..e27e92e015e 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -2,6 +2,7 @@ import {fromNodeId, toNodeId} from './types'; import type {NodeId} from './types'; import {digraph} from 'graphviz'; +import {spawn} from 'child_process'; /** * Each node is represented with 2 4-byte chunks: @@ -430,7 +431,7 @@ export default class EfficientGraph { ); } - graphviz(type: 'graph' | 'edges' | 'nodes' = 'graph'): string { + toDot(type: 'graph' | 'edges' | 'nodes' = 'graph'): string { switch (type) { case 'edges': return edgesToDot(this); @@ -706,3 +707,29 @@ function edgesToDot(data: EfficientGraph): string { return g.to_dot(); } + +export function openGraphViz( + data: EfficientGraph, + type?: 'graph' | 'nodes' | 'edges', +): Promise { + if (!type) { + return Promise.all([ + openGraphViz(data, 'nodes'), + openGraphViz(data, 'edges'), + openGraphViz(data, 'graph'), + ]).then(() => void 0); + } + let preview = spawn('open', ['-a', 'Preview.app', '-f'], {stdio: ['pipe']}); + let result = new Promise((resolve, reject) => { + preview.on('close', code => { + if (code) reject(`process exited with code ${code}`); + else resolve(); + }); + }); + + let dot = spawn('dot', ['-Tpng'], {stdio: ['pipe']}); + dot.stdout.pipe(preview.stdin); + dot.stdin.write(data.toDot(type)); + dot.stdin.end(); + return result; +} From 2546c1f85dcf65b03d8b184ce8f397afec7b6e30 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 6 May 2021 17:30:57 -0400 Subject: [PATCH 015/117] Add 1 to edge hashes and type values This is to allow truthy tests to pass when checking to see if edges exist. --- packages/core/core/src/EfficientGraph.js | 148 ++++++++++++++--------- 1 file changed, 90 insertions(+), 58 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index e27e92e015e..04598ed6d8a 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -46,20 +46,20 @@ export const NODE_SIZE = 2; export const EDGE_SIZE = 5; /** The offset to `EDGE_SIZE` at which the edge type is stored. */ -const TYPE = 0; +const TYPE: 0 = 0; /** The offset to `EDGE_SIZE` at which the 'from' node id is stored. */ -const FROM = 1; +const FROM: 1 = 1; /** The offset to `EDGE_SIZE` at which the 'to' node id is stored. */ -const TO = 2; +const TO: 2 = 2; /** The offset to `EDGE_SIZE` at which the hash of the 'to' node's incoming edge is stored. */ -const NEXT_IN = 3; +const NEXT_IN: 3 = 3; /** The offset to `EDGE_SIZE` at which the hash of the 'from' node's incoming edge is stored. */ -const NEXT_OUT = 4; +const NEXT_OUT: 4 = 4; /** The offset to `NODE_SIZE` at which the hash of the first incoming edge is stored. */ -const FIRST_IN = 0; +const FIRST_IN: 0 = 0; /** The offset to `NODE_SIZE` at which the hash of the first outgoing edge is stored. */ -const FIRST_OUT = 1; +const FIRST_OUT: 1 = 1; export const ALL_EDGE_TYPES = '@@all_edge_types'; @@ -70,6 +70,26 @@ type EfficientGraphOpts = {| numEdges: number, |}; +type EdgeAttr = + | typeof TYPE + | typeof FROM + | typeof TO + | typeof NEXT_IN + | typeof NEXT_OUT; + +type NodeAttr = typeof FIRST_IN | typeof FIRST_OUT; + +opaque type EdgeHash = number; +/** Get the hash of the edge at the given index in the edges array. */ +const edgeAt = (index: number): EdgeHash => index + 1; +/** Get the index in the edges array of the given edge. */ +const indexOfEdge = (hash: EdgeHash) => Math.max(0, hash - 1); + +opaque type EdgeType = number; +/** `1` is added to the type to allow a type value of `0`. */ +const fromEdgeType = (type: EdgeType): number => type + 1; +const toEdgeType = (id: number) => Math.max(0, id - 1); + export default class EfficientGraph { /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ nodes: Uint32Array; @@ -266,9 +286,11 @@ export default class EfficientGraph { } // We use the hash of the edge as the index for the edge. - let hash = this.index(from, to); - if (hash === -1) { + let index = this.index(from, to); + + if (index === -1) { // The edge is already in the graph; do nothing. + // TODO: throw when types don't match; we don't support edges of multiple types return false; } @@ -276,16 +298,15 @@ export default class EfficientGraph { // Each edge takes up `EDGE_SIZE` space in the `edges` array. // `[type, from, to, nextIncoming, nextOutgoing]` - this.edges[hash + TYPE] = type; - this.edges[hash + FROM] = fromNodeId(from); - this.edges[hash + TO] = fromNodeId(to); - this.edges[hash + NEXT_IN] = this.nodes[fromNodeId(to) + FIRST_IN]; - this.edges[hash + NEXT_OUT] = this.nodes[fromNodeId(from) + FIRST_OUT]; + this.edges[index + TYPE] = fromEdgeType(type); + this.edges[index + FROM] = fromNodeId(from); + this.edges[index + TO] = fromNodeId(to); + this.edges[index + NEXT_IN] = this.nodes[fromNodeId(to) + FIRST_IN]; + this.edges[index + NEXT_OUT] = this.nodes[fromNodeId(from) + FIRST_OUT]; // We store the hash of this edge as the `to` node's incoming edge // and as the `from` node's outgoing edge. - // TODO: understand why `1` is added to the hash. - this.nodes[fromNodeId(to) + FIRST_IN] = 1 + hash; - this.nodes[fromNodeId(from) + FIRST_OUT] = 1 + hash; + this.nodes[fromNodeId(to) + FIRST_IN] = edgeAt(index); + this.nodes[fromNodeId(from) + FIRST_OUT] = edgeAt(index); return true; } @@ -298,7 +319,7 @@ export default class EfficientGraph { */ index(from: NodeId, to: NodeId, type: number = 1): number { // The index is most often simply the hash of edge. - let hash = this.hash(from, to); + let hash = indexOfEdge(this.hash(from, to)); // we scan the `edges` array for the next empty slot after the `hash` offset. // We do this instead of simply using the `hash` as the index because @@ -308,7 +329,7 @@ export default class EfficientGraph { this.edges[hash + FROM] === from && this.edges[hash + TO] === to && // if type === 1, the edge type isn't specified, so return - (type === 1 || this.edges[hash + TYPE] === type) + (type === 1 || toEdgeType(this.edges[hash + TYPE]) === type) ) { // If this edge is already in the graph, bail out. return -1; @@ -332,9 +353,9 @@ export default class EfficientGraph { // graph.addEdge(1, 2, 3) // graph.getAllEdges() only returns [{from: 1, to: 2, type: 2}] getAllEdges(): Array<{| - from: number, - to: number, - type: number, + from: NodeId, + to: NodeId, + type: EdgeType, // nextIn: number, // nextOut: number, |}> { @@ -343,9 +364,9 @@ export default class EfficientGraph { while (i < this.edges.length) { if (this.edges[i + TYPE]) { edgeObjs.push({ - from: this.edges[i + FROM], - to: this.edges[i + TO], - type: this.edges[i + TYPE], + from: toNodeId(this.edges[i + FROM]), + to: toNodeId(this.edges[i + TO]), + type: toEdgeType(this.edges[i + TYPE]), // nextIn: this.edges[i + NEXT_IN], // nextOut: this.edges[i + NEXT_OUT], }); @@ -364,52 +385,58 @@ export default class EfficientGraph { } /** - * Get the list of nodes connected from + * Get the list of nodes connected from this node. */ *getNodesConnectedFrom( from: NodeId, type: number | Array = 1, ): Iterable { for ( - let i = this.nodes[fromNodeId(from) + FIRST_OUT]; + let i = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); i; - i = this.edges[i - 1 + NEXT_OUT] + i = indexOfEdge(this.edges[i + NEXT_OUT]) ) { if (Array.isArray(type)) { for (let typeNum of type) { - if (typeNum === 1 || this.edges[i - 1] === typeNum) { - yield toNodeId(this.edges[i - 1 + TO]); + if (typeNum === 1 || toEdgeType(this.edges[i + TYPE]) === typeNum) { + yield toNodeId(this.edges[i + TO]); } } } else { - if (type === ALL_EDGE_TYPES || this.edges[i - 1] === type) { - yield toNodeId(this.edges[i - 1 + TO]); + if ( + type === ALL_EDGE_TYPES || + toEdgeType(this.edges[i + TYPE]) === type + ) { + yield toNodeId(this.edges[i + TO]); } } } } /** - * Get the list of nodes whose edges from to + * Get the list of nodes connected to this node. */ *getNodesConnectedTo( to: NodeId, type: number | Array = 1, ): Iterable { for ( - let i = this.nodes[fromNodeId(to) + FIRST_IN]; + let i = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); i; - i = this.edges[i - 1 + NEXT_IN] + i = indexOfEdge(this.edges[i + NEXT_IN]) ) { if (Array.isArray(type)) { for (let typeNum of type) { - if (typeNum === 1 || this.edges[i - 1] === typeNum) { - yield toNodeId(this.edges[i - 1 + FROM]); + if (typeNum === 1 || toEdgeType(this.edges[i + TYPE]) === typeNum) { + yield toNodeId(this.edges[i + FROM]); } } } else { - if (type === ALL_EDGE_TYPES || this.edges[i - 1] === type) { - yield toNodeId(this.edges[i - 1 + FROM]); + if ( + type === ALL_EDGE_TYPES || + toEdgeType(this.edges[i + TYPE]) === type + ) { + yield toNodeId(this.edges[i + FROM]); } } } @@ -424,10 +451,12 @@ export default class EfficientGraph { * multiple edges can exist between two of the same nodes */ hash(from: NodeId, to: NodeId): number { - // TODO: understand this hash function - return Math.abs( - ((fromNodeId(from) + 111111) * (fromNodeId(to) - 333333) * EDGE_SIZE) % - this.edges.length, + return ( + 1 + // 1 is added to every hash to guarantee a truthy result. + Math.abs( + ((fromNodeId(from) + 111111) * (fromNodeId(to) - 333333) * EDGE_SIZE) % + this.edges.length, + ) ); } @@ -488,7 +517,7 @@ function toDot(data: EfficientGraph): string { let nextIn = data.edges[i + NEXT_IN]; let nextOut = data.edges[i + NEXT_OUT]; // TODO: add type to label? - let label = String(i + 1); + let label = String(edgeAt(i)); let fromFirstIn = data.nodes[from + FIRST_IN]; let fromFirstOut = data.nodes[from + FIRST_OUT]; @@ -498,16 +527,17 @@ function toDot(data: EfficientGraph): string { graph.addEdge(String(from), String(to), {label}); adjacencyList.addNode(`node${from}`, { - label: `node ${from} | { ${fromFirstIn} | ${fromFirstOut} }`, + label: `node ${from} | { ${fromFirstIn} | ${fromFirstOut} }`, ...nodeColor, }); adjacencyList.addNode(`edge${label}`, { - label: `edge ${label} | { ${type} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, + label: `edge ${label} | { ${type - + 1} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, }); adjacencyList.addNode(`node${to}`, { - label: `node ${to} | { ${toFirstIn} | ${toFirstOut} }`, + label: `node ${to} | { ${toFirstIn} | ${toFirstOut} }`, ...nodeColor, }); @@ -656,17 +686,17 @@ function edgesToDot(data: EfficientGraph): string { edges.setEdgeAttribut('fontsize', 6); edges.setEdgeAttribut('style', 'invis'); - let lastOut = 1; - for (let i = 1; i < data.edges.length + 1; i += EDGE_SIZE) { - let type = data.edges[i - 1 + TYPE]; + let lastOut = 0; + for (let i = 0; i < data.edges.length; i += EDGE_SIZE) { + let type = data.edges[i + TYPE]; if (type) { - let from = data.edges[i - 1 + FROM]; - let to = data.edges[i - 1 + TO]; - let nextIn = data.edges[i - 1 + NEXT_IN]; - let nextOut = data.edges[i - 1 + NEXT_OUT]; + let from = data.edges[i + FROM]; + let to = data.edges[i + TO]; + let nextIn = data.edges[i + NEXT_IN]; + let nextOut = data.edges[i + NEXT_OUT]; if (lastOut < i - EDGE_SIZE) { - if (lastOut === 1) { + if (lastOut === 0) { edges.addNode(`edge${lastOut}`, { label: `${lastOut}…${i - EDGE_SIZE} | `, ...emptyColor, @@ -682,14 +712,16 @@ function edgesToDot(data: EfficientGraph): string { } edges.addNode(`edge${i}`, { - label: `${i} | {${type} | ${from} | ${to} | ${nextIn} | ${nextOut}}`, + label: `${edgeAt( + i, + )} | {${type} | ${from} | ${to} | ${nextIn} | ${nextOut}}`, }); edges.addEdge(`edge${lastOut}`, `edge${i}`); lastOut = i; - } else if (i === data.edges.length + 1 - EDGE_SIZE) { + } else if (i === data.edges.length - EDGE_SIZE) { if (lastOut < i - EDGE_SIZE) { - if (lastOut === 1) { + if (lastOut === 0) { edges.addNode(`edge${lastOut}`, { label: `${lastOut}…${i - EDGE_SIZE} | `, ...emptyColor, From dff09b1592a2b7a53d80226d4dece41c4de8934a Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 6 May 2021 17:40:54 -0400 Subject: [PATCH 016/117] Initial removeEdge implementation --- packages/core/core/src/EfficientGraph.js | 51 ++++++++++++++++++++++++ 1 file changed, 51 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 04598ed6d8a..a0bb455225b 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -384,6 +384,57 @@ export default class EfficientGraph { return this.index(from, to, type) === -1; } + /** + * + */ + removeEdge(from: NodeId, to: NodeId, type: number = 1): void { + if (this.index(from, to, type) !== -1) { + // The edge is not in the graph; do nothing. + return; + } + + let index = this.hash(from, to /*, type*/); + + // Update pointers to the removed edge to the next outgoing edge. + let nextOut = this.edges[index + NEXT_OUT]; + let fromFirstOut = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); + if (fromFirstOut === index) { + this.nodes[fromNodeId(from) + FIRST_OUT] = nextOut; + } else { + while (fromFirstOut) { + if (fromFirstOut === index) { + this.edges[fromFirstOut + NEXT_OUT] = nextOut; + break; + } + fromFirstOut = this.edges[fromFirstOut + NEXT_OUT]; + } + } + + // Update pointers to the removed edge to the next incoming edge. + let nextIn = this.edges[index + NEXT_IN]; + let fromFirstIn = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); + if (fromFirstIn === index) { + this.nodes[fromNodeId(to) + FIRST_IN] = nextIn; + } else { + while (fromFirstIn) { + if (fromFirstIn === index) { + this.edges[fromFirstIn + NEXT_IN] = nextIn; + break; + } + fromFirstIn = this.edges[fromFirstIn + NEXT_IN]; + } + } + + // Free up this space in the edges list. + this.edges[index + TYPE] = 0; + this.edges[index + FROM] = 0; + this.edges[index + TO] = 0; + this.edges[index + NEXT_IN] = 0; + this.edges[index + NEXT_OUT] = 0; + + this.numEdges--; + } + /** * Get the list of nodes connected from this node. */ From 00ca256e519b8a57a4a4a22516813e0b3e6cf940 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 6 May 2021 17:43:05 -0400 Subject: [PATCH 017/117] WIP: Use new EfficientGraph in Graph --- packages/core/core/src/Graph.js | 76 ++++++++++++++++----------------- 1 file changed, 36 insertions(+), 40 deletions(-) diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 3fada78f181..d1d9225c232 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -1,6 +1,7 @@ // @flow strict-local import {toNodeId, fromNodeId} from './types'; +import EfficientGraph from './EfficientGraph'; import type {Edge, Node, NodeId} from './types'; import type {TraversalActions, GraphVisitor} from '@parcel/types'; @@ -21,6 +22,7 @@ export default class Graph { nodes: Map; inboundEdges: AdjacencyList; outboundEdges: AdjacencyList; + adjacencyList: EfficientGraph; rootNodeId: ?NodeId; nextNodeId: number = 0; @@ -31,18 +33,21 @@ export default class Graph { let edges = opts?.edges; if (edges != null) { - this.inboundEdges = new AdjacencyList(); - this.outboundEdges = new AdjacencyList(edges); + // this.inboundEdges = new AdjacencyList(); + // this.outboundEdges = new AdjacencyList(edges); + this.adjacencyList = new EfficientGraph(); for (let [from, edgeList] of edges) { for (let [type, toNodes] of edgeList) { for (let to of toNodes) { - this.inboundEdges.addEdge(to, from, type); + // this.inboundEdges.addEdge(to, from, type); + this.adjacencyList.addEdge(to, from, type); } } } } else { - this.inboundEdges = new AdjacencyList(); - this.outboundEdges = new AdjacencyList(); + // this.inboundEdges = new AdjacencyList(); + // this.outboundEdges = new AdjacencyList(); + this.adjacencyList = new EfficientGraph(); } } @@ -85,7 +90,7 @@ export default class Graph { } addNode(node: TNode): NodeId { - let id = toNodeId(this.nextNodeId++); + let id = this.adjacencyList.addNode(); this.nodes.set(id, node); return id; } @@ -107,8 +112,9 @@ export default class Graph { throw new Error(`"to" node '${fromNodeId(to)}' not found`); } - this.outboundEdges.addEdge(from, to, type); - this.inboundEdges.addEdge(to, from, type); + // this.outboundEdges.addEdge(from, to, type); + // this.inboundEdges.addEdge(to, from, type); + this.adjacencyList.addEdge(from, to, type); } hasEdge( @@ -116,7 +122,8 @@ export default class Graph { to: NodeId, type?: TEdgeType | NullEdgeType = 0, ): boolean { - return this.outboundEdges.hasEdge(from, to, type); + // return this.outboundEdges.hasEdge(from, to, type); + return this.adjacencyList.hasEdge(from, to, type); } getNodeIdsConnectedTo( @@ -188,23 +195,23 @@ export default class Graph { removeNode(nodeId: NodeId) { this._assertHasNodeId(nodeId); - for (let [type, nodesForType] of this.inboundEdges.getEdgesByType(nodeId)) { - for (let from of nodesForType) { - this.removeEdge( - from, - nodeId, - type, - // Do not allow orphans to be removed as this node could be one - // and is already being removed. - false /* removeOrphans */, - ); - } + for (let from of [ + ...this.adjacencyList.getNodesConnectedTo(nodeId, ALL_EDGE_TYPES), + ]) { + this.removeEdge( + from, + nodeId, + 0 /* any type */, + // Do not allow orphans to be removed as this node could be one + // and is already being removed. + false /* removeOrphans */, + ); } - for (let [type, toNodes] of this.outboundEdges.getEdgesByType(nodeId)) { - for (let to of toNodes) { - this.removeEdge(nodeId, to, type); - } + for (let to of [ + ...this.adjacencyList.getNodesConnectedFrom(nodeId, ALL_EDGE_TYPES), + ]) { + this.removeEdge(nodeId, to); } let wasRemoved = this.nodes.delete(nodeId); @@ -226,22 +233,13 @@ export default class Graph { type: TEdgeType | NullEdgeType = 0, removeOrphans: boolean = true, ) { - if (!this.outboundEdges.hasEdge(from, to, type)) { - throw new Error( - `Outbound edge from ${fromNodeId(from)} to ${fromNodeId( - to, - )} not found!`, - ); - } - - if (!this.inboundEdges.hasEdge(to, from, type)) { + if (!this.adjacencyList.hasEdge(from, to, type)) { throw new Error( - `Inbound edge from ${fromNodeId(to)} to ${fromNodeId(from)} not found!`, + `Edge from ${fromNodeId(from)} to ${fromNodeId(to)} not found!`, ); } - this.outboundEdges.removeEdge(from, to, type); - this.inboundEdges.removeEdge(to, from, type); + this.adjacencyList.removeEdge(from, to, type); if (removeOrphans && this.isOrphanedNode(to)) { this.removeNode(to); @@ -255,10 +253,8 @@ export default class Graph { // If the graph does not have a root, and there are inbound edges, // this node should not be considered orphaned. // return false; - for (let [, inboundNodeIds] of this.inboundEdges.getEdgesByType(nodeId)) { - if (inboundNodeIds.size > 0) { - return false; - } + for (let id of this.adjacencyList.getNodesConnectedTo(nodeId)) { + if (this.hasNode(id)) return false; } return true; From 8f4186c073314e1d4848987a2f3d4e13e4f72dee Mon Sep 17 00:00:00 2001 From: thebriando Date: Thu, 6 May 2021 15:00:23 -0700 Subject: [PATCH 018/117] use EfficientGraph getNodes functions, update graph tests, change default edge type to 1 --- packages/core/core/src/BundleGraph.js | 13 +- packages/core/core/src/ContentGraph.js | 4 +- packages/core/core/src/EfficientGraph.js | 3 +- packages/core/core/src/Graph.js | 144 ++++++++++-------- packages/core/core/src/RequestTracker.js | 12 +- .../core/core/test/EfficientGraph.test.js | 43 ++++-- packages/core/core/test/Graph.test.js | 12 +- 7 files changed, 128 insertions(+), 103 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index aea3ed6579b..fc93b660bd9 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -9,6 +9,9 @@ import type { } from '@parcel/types'; import querystring from 'querystring'; +import {toNodeId} from './types'; +import {DefaultMap} from '@parcel/utils'; + import type { Asset, AssetNode, @@ -34,13 +37,13 @@ import Environment from './public/Environment'; export const bundleGraphEdgeTypes = { // A lack of an edge type indicates to follow the edge while traversing // the bundle's contents, e.g. `bundle.traverse()` during packaging. - null: 0, + null: 1, // Used for constant-time checks of presence of a dependency or asset in a bundle, // avoiding bundle traversal in cases like `isAssetInAncestors` - contains: 1, + contains: 2, // Connections between bundles and bundle groups, for quick traversal of the // bundle hierarchy. - bundle: 2, + bundle: 3, // When dependency -> asset: Indicates that the asset a dependency references // is contained in another bundle. // When dependency -> bundle: Indicates the bundle is necessary for any bundles @@ -50,10 +53,10 @@ export const bundleGraphEdgeTypes = { // This type prevents referenced assets from being traversed from dependencies // along the untyped edge, and enables traversal to referenced bundles that are // not directly connected to bundle group nodes. - references: 3, + references: 4, // Signals that the dependency is internally resolvable via the bundle's ancestry, // and that the bundle connected to the dependency is not necessary for the source bundle. - internal_async: 4, + internal_async: 5, }; type BundleGraphEdgeType = $Values; diff --git a/packages/core/core/src/ContentGraph.js b/packages/core/core/src/ContentGraph.js index ccc7f201fb4..8c59bab44f2 100644 --- a/packages/core/core/src/ContentGraph.js +++ b/packages/core/core/src/ContentGraph.js @@ -4,14 +4,14 @@ import Graph, {type GraphOpts} from './Graph'; import type {ContentKey, Node, NodeId} from './types'; import nullthrows from 'nullthrows'; -export type SerializedContentGraph = {| +export type SerializedContentGraph = {| ...GraphOpts, _contentKeyToNodeId: Map, |}; export default class ContentGraph< TNode: Node, - TEdgeType: number = 0, + TEdgeType: number = 1, > extends Graph { _contentKeyToNodeId: Map; diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 0780b5b199e..6961464ee5e 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -391,8 +391,7 @@ export default class EfficientGraph { * * This hash is used to index the edge in the `edges` array. * - * This might need to include the type as well if we assume that - * multiple edges can exist between two of the same nodes + * TODO: add type to hash function */ hash(from: NodeId, to: NodeId): number { // TODO: understand this hash function diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 3fada78f181..249525dcf75 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -1,14 +1,15 @@ // @flow strict-local -import {toNodeId, fromNodeId} from './types'; +import {fromNodeId} from './types'; import type {Edge, Node, NodeId} from './types'; +import EfficientGraph from './EfficientGraph'; import type {TraversalActions, GraphVisitor} from '@parcel/types'; import assert from 'assert'; import nullthrows from 'nullthrows'; -type NullEdgeType = 0; -export type GraphOpts = {| +type NullEdgeType = 1; +export type GraphOpts = {| nodes?: Map, edges?: AdjacencyListMap, rootNodeId?: ?NodeId, @@ -17,17 +18,20 @@ export type GraphOpts = {| export const ALL_EDGE_TYPES = '@@all_edge_types'; -export default class Graph { +export default class Graph { nodes: Map; inboundEdges: AdjacencyList; outboundEdges: AdjacencyList; rootNodeId: ?NodeId; nextNodeId: number = 0; + // should we include the generics? + _graph: EfficientGraph; constructor(opts: ?GraphOpts) { this.nodes = opts?.nodes || new Map(); this.setRootNodeId(opts?.rootNodeId); this.nextNodeId = opts?.nextNodeId ?? 0; + this._graph = new EfficientGraph(); let edges = opts?.edges; if (edges != null) { @@ -85,7 +89,8 @@ export default class Graph { } addNode(node: TNode): NodeId { - let id = toNodeId(this.nextNodeId++); + // let id = toNodeId(this.nextNodeId++); + let id = this._graph.addNode(); this.nodes.set(id, node); return id; } @@ -98,7 +103,7 @@ export default class Graph { return this.nodes.get(id); } - addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0): void { + addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): void { if (!this.getNode(from)) { throw new Error(`"from" node '${fromNodeId(from)}' not found`); } @@ -107,81 +112,86 @@ export default class Graph { throw new Error(`"to" node '${fromNodeId(to)}' not found`); } - this.outboundEdges.addEdge(from, to, type); - this.inboundEdges.addEdge(to, from, type); + // this.outboundEdges.addEdge(from, to, type); + // this.inboundEdges.addEdge(to, from, type); + this._graph.addEdge(from, to, type); } hasEdge( from: NodeId, to: NodeId, - type?: TEdgeType | NullEdgeType = 0, + type?: TEdgeType | NullEdgeType = 1, ): boolean { - return this.outboundEdges.hasEdge(from, to, type); + // return this.outboundEdges.hasEdge(from, to, type); + return this._graph.hasEdge(from, to, type); } getNodeIdsConnectedTo( nodeId: NodeId, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): Array { this._assertHasNodeId(nodeId); - let inboundByType = this.inboundEdges.getEdgesByType(nodeId); - if (inboundByType == null) { - return []; - } - - let nodes; - if (type === ALL_EDGE_TYPES) { - nodes = new Set(); - for (let [, typeNodes] of inboundByType) { - for (let node of typeNodes) { - nodes.add(node); - } - } - } else if (Array.isArray(type)) { - nodes = new Set(); - for (let typeName of type) { - for (let node of inboundByType.get(typeName)?.values() ?? []) { - nodes.add(node); - } - } - } else { - nodes = new Set(inboundByType.get(type)?.values() ?? []); - } - - return [...nodes]; + return [...this._graph.getNodesConnectedTo(nodeId, Number(type))]; + // let inboundByType = this.inboundEdges.getEdgesByType(nodeId); + // if (inboundByType == null) { + // return []; + // } + + // let nodes; + // if (type === ALL_EDGE_TYPES) { + // nodes = new Set(); + // for (let [, typeNodes] of inboundByType) { + // for (let node of typeNodes) { + // nodes.add(node); + // } + // } + // } else if (Array.isArray(type)) { + // nodes = new Set(); + // for (let typeName of type) { + // for (let node of inboundByType.get(typeName)?.values() ?? []) { + // nodes.add(node); + // } + // } + // } else { + // nodes = new Set(inboundByType.get(type)?.values() ?? []); + // } + + // return [...nodes]; } getNodeIdsConnectedFrom( nodeId: NodeId, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): Array { this._assertHasNodeId(nodeId); - let outboundByType = this.outboundEdges.getEdgesByType(nodeId); - if (outboundByType == null) { - return []; - } - - let nodes; - if (type === ALL_EDGE_TYPES) { - nodes = new Set(); - for (let [, typeNodes] of outboundByType) { - for (let node of typeNodes) { - nodes.add(node); - } - } - } else if (Array.isArray(type)) { - nodes = new Set(); - for (let typeName of type) { - for (let node of outboundByType.get(typeName)?.values() ?? []) { - nodes.add(node); - } - } - } else { - nodes = new Set(outboundByType.get(type)?.values() ?? []); - } - return [...nodes]; + return [...this._graph.getNodesConnectedFrom(nodeId, Number(type))]; + // let outboundByType = this.outboundEdges.getEdgesByType(nodeId); + // if (outboundByType == null) { + // return []; + // } + + // let nodes; + // if (type === ALL_EDGE_TYPES) { + // nodes = new Set(); + // for (let [, typeNodes] of outboundByType) { + // for (let node of typeNodes) { + // nodes.add(node); + // } + // } + // } else if (Array.isArray(type)) { + // nodes = new Set(); + // for (let typeName of type) { + // for (let node of outboundByType.get(typeName)?.values() ?? []) { + // nodes.add(node); + // } + // } + // } else { + // nodes = new Set(outboundByType.get(type)?.values() ?? []); + // } + + // return [...nodes]; } // Removes node and any edges coming from or to that node @@ -211,7 +221,7 @@ export default class Graph { assert(wasRemoved); } - removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 0) { + removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 1) { this._assertHasNodeId(nodeId); for (let to of this.outboundEdges.getEdges(nodeId, type)) { @@ -223,7 +233,7 @@ export default class Graph { removeEdge( from: NodeId, to: NodeId, - type: TEdgeType | NullEdgeType = 0, + type: TEdgeType | NullEdgeType = 1, removeOrphans: boolean = true, ) { if (!this.outboundEdges.hasEdge(from, to, type)) { @@ -295,7 +305,7 @@ export default class Graph { replaceNode( fromNodeId: NodeId, toNodeId: NodeId, - type: TEdgeType | NullEdgeType = 0, + type: TEdgeType | NullEdgeType = 1, ): void { this._assertHasNodeId(fromNodeId); for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { @@ -310,7 +320,7 @@ export default class Graph { fromNodeId: NodeId, toNodeIds: $ReadOnlyArray, replaceFilter?: null | (NodeId => boolean), - type?: TEdgeType | NullEdgeType = 0, + type?: TEdgeType | NullEdgeType = 1, ): void { this._assertHasNodeId(fromNodeId); @@ -336,7 +346,7 @@ export default class Graph { traverse( visit: GraphVisitor, startNodeId: ?NodeId, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): ?TContext { return this.dfs({ visit, @@ -357,7 +367,7 @@ export default class Graph { traverseAncestors( startNodeId: ?NodeId, visit: GraphVisitor, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): ?TContext { return this.dfs({ visit, diff --git a/packages/core/core/src/RequestTracker.js b/packages/core/core/src/RequestTracker.js index 8c56535023e..7d1f356251b 100644 --- a/packages/core/core/src/RequestTracker.js +++ b/packages/core/core/src/RequestTracker.js @@ -43,12 +43,12 @@ import { } from './constants'; export const requestGraphEdgeTypes = { - subrequest: 1, - invalidated_by_update: 2, - invalidated_by_delete: 3, - invalidated_by_create: 4, - invalidated_by_create_above: 5, - dirname: 6, + subrequest: 2, + invalidated_by_update: 3, + invalidated_by_delete: 4, + invalidated_by_create: 5, + invalidated_by_create_above: 6, + dirname: 7, }; type RequestGraphEdgeType = $Values; diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index b26c2486b8c..77e66d463d4 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -10,7 +10,7 @@ import EfficientGraph, { } from '../src/EfficientGraph'; import {toNodeId} from '../src/types'; -describe.only('EfficientGraph', () => { +describe('EfficientGraph', () => { it('constructor should initialize an empty graph', () => { let graph = new EfficientGraph(1, 1); assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); @@ -58,21 +58,34 @@ describe.only('EfficientGraph', () => { // }, /Does not have node/); // }); - it("errors when adding an edge to a node that doesn't exist", () => { - let graph = new EfficientGraph(); - let node = graph.addNode(); - assert.throws(() => { - graph.addEdge(node, toNodeId(-1)); - }, /"to" node '-1' not found/); - }); + // it("errors when adding an edge to a node that doesn't exist", () => { + // let graph = new EfficientGraph(); + // let node = graph.addNode(); + // assert.throws(() => { + // graph.addEdge(node, toNodeId(-1)); + // }, /"to" node '-1' not found/); + // }); - it("errors when adding an edge from a node that doesn't exist", () => { - let graph = new EfficientGraph(); - let node = graph.addNode(); - assert.throws(() => { - graph.addEdge(toNodeId(-1), node); - }, /"from" node '-1' not found/); - }); + // it("errors when adding an edge from a node that doesn't exist", () => { + // let graph = new EfficientGraph(); + // let node = graph.addNode(); + // assert.throws(() => { + // graph.addEdge(toNodeId(-1), node); + // }, /"from" node '-1' not found/); + // }); + + // it('addEdge will resize if needed', () => { + // let graph = new EfficientGraph(); + // for (let i = 0; i < 2048; i++) { + // graph.addNode(); + // graph.addEdge(toNodeId(i), toNodeId(i + 1), i + 2); + // } + + // assert.deepEqual( + // [...graph.getNodesConnectedFrom(toNodeId(1574), 1576)], + // [1575], + // ); + // }); // it('hasNode should return a boolean based on whether the node exists in the graph', () => { // let graph = new EfficientGraph(); diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index bca11ad33dc..cd088d68f92 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -6,14 +6,14 @@ import sinon from 'sinon'; import Graph from '../src/Graph'; import {toNodeId} from '../src/types'; -describe('Graph', () => { - it('constructor should initialize an empty graph', () => { +describe.only('Graph', () => { + it.only('constructor should initialize an empty graph', () => { let graph = new Graph(); assert.deepEqual(graph.nodes, new Map()); assert.deepEqual(graph.getAllEdges(), []); }); - it('addNode should add a node to the graph', () => { + it.only('addNode should add a node to the graph', () => { let graph = new Graph(); let node = {id: 'do not use', type: 'mynode', value: 'a'}; let id = graph.addNode(node); @@ -50,7 +50,7 @@ describe('Graph', () => { }, /Does not have node/); }); - it("errors when adding an edge to a node that doesn't exist", () => { + it.only("errors when adding an edge to a node that doesn't exist", () => { let graph = new Graph(); let node = graph.addNode({id: 'foo', type: 'mynode', value: null}); assert.throws(() => { @@ -58,7 +58,7 @@ describe('Graph', () => { }, /"to" node '-1' not found/); }); - it("errors when adding an edge from a node that doesn't exist", () => { + it.only("errors when adding an edge from a node that doesn't exist", () => { let graph = new Graph(); let node = graph.addNode({id: 'foo', type: 'mynode', value: null}); assert.throws(() => { @@ -73,7 +73,7 @@ describe('Graph', () => { assert(!graph.hasNode(toNodeId(-1))); }); - it('addEdge should add an edge to the graph', () => { + it.only('addEdge should add an edge to the graph', () => { let graph = new Graph(); let nodeA = graph.addNode({id: 'a', type: 'mynode', value: null}); let nodeB = graph.addNode({id: 'b', type: 'mynode', value: null}); From 8609989fb6d5d71fb6f457c3ebd990d93e71a5f3 Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 10 May 2021 14:34:43 -0700 Subject: [PATCH 019/117] Use new EfficientGraph functions in Graph, update tests, fix edge type in removeEdge --- packages/core/core/src/BundleGraph.js | 15 ------ packages/core/core/src/EfficientGraph.js | 5 +- packages/core/core/src/Graph.js | 52 +++++++++++++------ .../core/core/test/EfficientGraph.test.js | 9 +++- packages/core/core/test/Graph.test.js | 23 ++++++-- 5 files changed, 66 insertions(+), 38 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index 180354faf18..99b680d38b7 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -9,9 +9,6 @@ import type { } from '@parcel/types'; import querystring from 'querystring'; -import {toNodeId} from './types'; -import {DefaultMap} from '@parcel/utils'; - import type { Asset, AssetNode, @@ -1607,18 +1604,6 @@ export default class BundleGraph { } merge(other: BundleGraph) { - let map = new DefaultMap<{|from: NodeId, to: NodeId|}, Set>( - () => new Set(), - ); - for (let edge of this._graph.getAllEdges()) { - map.get({from: edge.from, to: edge.to}).add(toNodeId(edge.type)); - } - // console.log(map); - console.log( - 'multiple types between the same nodes', - [...map.values()].filter(set => set.size > 1), - ); - map.clear(); let otherGraphIdToThisNodeId = new Map(); for (let [otherNodeId, otherNode] of other._graph.nodes) { if (this._graph.hasContentKey(otherNode.id)) { diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 1d6c4b211b7..279e5eaf441 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -328,8 +328,9 @@ export default class EfficientGraph { if ( this.edges[hash + FROM] === from && this.edges[hash + TO] === to && - // if type === 1, the edge type isn't specified, so return - (type === 1 || toEdgeType(this.edges[hash + TYPE]) === type) + // if type === ALL_EDGE_TYPES, return all edges + (type === ALL_EDGE_TYPES || + toEdgeType(this.edges[hash + TYPE]) === type) ) { // If this edge is already in the graph, bail out. return -1; diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 2b85446f105..8c490cbd1a5 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -78,15 +78,16 @@ export default class Graph { // Returns a list of all edges in the graph. This can be large, so iterating // the complete list can be costly in large graphs. Used when merging graphs. getAllEdges(): Array> { - let edges = []; - for (let [from, edgeList] of this.outboundEdges.getListMap()) { - for (let [type, toNodes] of edgeList) { - for (let to of toNodes) { - edges.push({from, to, type}); - } - } - } - return edges; + // let edges = []; + // for (let [from, edgeList] of this.outboundEdges.getListMap()) { + // for (let [type, toNodes] of edgeList) { + // for (let to of toNodes) { + // edges.push({from, to, type}); + // } + // } + // } + // return edges; + return [...this.adjacencyList.getAllEdges()]; } addNode(node: TNode): NodeId { @@ -199,12 +200,17 @@ export default class Graph { this._assertHasNodeId(nodeId); for (let from of [ - ...this.adjacencyList.getNodesConnectedTo(nodeId, ALL_EDGE_TYPES), + ...this.adjacencyList.getNodesConnectedTo( + nodeId, + // $FlowFixMe + ALL_EDGE_TYPES, + ), ]) { this.removeEdge( from, nodeId, - 0 /* any type */, + // $FlowFixMe + ALL_EDGE_TYPES /* any type */, // Do not allow orphans to be removed as this node could be one // and is already being removed. false /* removeOrphans */, @@ -212,7 +218,11 @@ export default class Graph { } for (let to of [ - ...this.adjacencyList.getNodesConnectedFrom(nodeId, ALL_EDGE_TYPES), + ...this.adjacencyList.getNodesConnectedFrom( + nodeId, + // $FlowFixMe + ALL_EDGE_TYPES, + ), ]) { this.removeEdge(nodeId, to); } @@ -224,7 +234,10 @@ export default class Graph { removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 1) { this._assertHasNodeId(nodeId); - for (let to of this.outboundEdges.getEdges(nodeId, type)) { + // for (let to of this.outboundEdges.getEdges(nodeId, type)) { + // this.removeEdge(nodeId, to, type); + // } + for (let to of this.getNodeIdsConnectedFrom(nodeId, type)) { this.removeEdge(nodeId, to, type); } } @@ -291,13 +304,21 @@ export default class Graph { this.nodes.set(nodeId, node); } + /* + Replaces the 'from' NodeId with the 'to' NodeId and replaces the inbound + edges 'to' NodeId's with the new 'to' NodeId + */ replaceNode( fromNodeId: NodeId, toNodeId: NodeId, type: TEdgeType | NullEdgeType = 1, ): void { this._assertHasNodeId(fromNodeId); - for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { + // for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { + // this.addEdge(parent, toNodeId, type); + // this.removeEdge(parent, fromNodeId, type); + // } + for (let parent of this.getNodeIdsConnectedTo(fromNodeId, type)) { this.addEdge(parent, toNodeId, type); this.removeEdge(parent, fromNodeId, type); } @@ -313,7 +334,8 @@ export default class Graph { ): void { this._assertHasNodeId(fromNodeId); - let outboundEdges = this.outboundEdges.getEdges(fromNodeId, type); + // let outboundEdges = this.outboundEdges.getEdges(fromNodeId, type); + let outboundEdges = [...this.getNodeIdsConnectedFrom(fromNodeId, type)]; let childrenToRemove = new Set( replaceFilter ? [...outboundEdges].filter(toNodeId => replaceFilter(toNodeId)) diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 77e66d463d4..5a94caa4653 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -120,7 +120,14 @@ describe('EfficientGraph', () => { it('hasEdge should return true for existing edges', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); - assert(graph.hasEdge(toNodeId(2), toNodeId(3))); + assert( + graph.hasEdge( + toNodeId(2), + toNodeId(3), + // $FlowFixMe + ALL_EDGE_TYPES, + ), + ); assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); }); diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index cd088d68f92..354f08c08d7 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -7,19 +7,32 @@ import Graph from '../src/Graph'; import {toNodeId} from '../src/types'; describe.only('Graph', () => { - it.only('constructor should initialize an empty graph', () => { + it('constructor should initialize an empty graph', () => { let graph = new Graph(); assert.deepEqual(graph.nodes, new Map()); assert.deepEqual(graph.getAllEdges(), []); }); - it.only('addNode should add a node to the graph', () => { + it('addNode should add a node to the graph', () => { let graph = new Graph(); let node = {id: 'do not use', type: 'mynode', value: 'a'}; let id = graph.addNode(node); assert.equal(graph.nodes.get(id), node); }); + // it('replaces a node', () => { + // let graph = new Graph(); + // let node1 = {id: 'do not use1', type: 'mynode', value: 'a'}; + // let node2 = {id: 'do not use2', type: 'mynode', value: 'b'}; + // let node3 = {id: 'do not use3', type: 'mynode', value: 'c'}; + // let id1 = graph.addNode(node1); + // let id2 = graph.addNode(node2); + // let id3 = graph.addNode(node3); + // graph.addEdge(id1, id2); + // graph.replaceNode(id1, id3); + // assert.equal(); + // }); + it("errors when removeNode is called with a node that doesn't belong", () => { let graph = new Graph(); assert.throws(() => { @@ -50,7 +63,7 @@ describe.only('Graph', () => { }, /Does not have node/); }); - it.only("errors when adding an edge to a node that doesn't exist", () => { + it("errors when adding an edge to a node that doesn't exist", () => { let graph = new Graph(); let node = graph.addNode({id: 'foo', type: 'mynode', value: null}); assert.throws(() => { @@ -58,7 +71,7 @@ describe.only('Graph', () => { }, /"to" node '-1' not found/); }); - it.only("errors when adding an edge from a node that doesn't exist", () => { + it("errors when adding an edge from a node that doesn't exist", () => { let graph = new Graph(); let node = graph.addNode({id: 'foo', type: 'mynode', value: null}); assert.throws(() => { @@ -73,7 +86,7 @@ describe.only('Graph', () => { assert(!graph.hasNode(toNodeId(-1))); }); - it.only('addEdge should add an edge to the graph', () => { + it('addEdge should add an edge to the graph', () => { let graph = new Graph(); let nodeA = graph.addNode({id: 'a', type: 'mynode', value: null}); let nodeB = graph.addNode({id: 'b', type: 'mynode', value: null}); From e3608af4d5accecc5f5bff9e6c9e6133b0e855c2 Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 11 May 2021 09:50:07 -0700 Subject: [PATCH 020/117] fix traversal test --- packages/core/core/test/Graph.test.js | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index 354f08c08d7..156418a2851 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -303,10 +303,10 @@ describe.only('Graph', () => { let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - graph.addEdge(nodeA, nodeB, 1); + graph.addEdge(nodeA, nodeB, 2); graph.addEdge(nodeA, nodeD); graph.addEdge(nodeB, nodeC); - graph.addEdge(nodeB, nodeD, 1); + graph.addEdge(nodeB, nodeD, 2); graph.setRootNodeId(nodeA); @@ -316,7 +316,7 @@ describe.only('Graph', () => { visited.push(nodeId); }, null, // use root as startNode - 1, + 2, ); assert.deepEqual(visited, [nodeA, nodeB, nodeD]); From aa395e42b9f79ecb9ca0d2c705ee04464efff7fc Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 11 May 2021 12:58:31 -0700 Subject: [PATCH 021/117] change NullEdgeType back to 1, enforce edge types to be non-zero in Graph --- packages/core/core/src/EfficientGraph.js | 29 ++++------ packages/core/core/src/Graph.js | 56 ++++++++++--------- .../core/core/test/EfficientGraph.test.js | 4 +- packages/core/core/test/Graph.test.js | 13 ----- 4 files changed, 42 insertions(+), 60 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 279e5eaf441..7ccc6557622 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -86,9 +86,10 @@ const edgeAt = (index: number): EdgeHash => index + 1; const indexOfEdge = (hash: EdgeHash) => Math.max(0, hash - 1); opaque type EdgeType = number; +/** remove these for now in favor of preventing 0 edge types in Graph */ /** `1` is added to the type to allow a type value of `0`. */ -const fromEdgeType = (type: EdgeType): number => type + 1; -const toEdgeType = (id: number) => Math.max(0, id - 1); +// const fromEdgeType = (type: EdgeType): number => type + 1; +// const toEdgeType = (id: number) => Math.max(0, id - 1); export default class EfficientGraph { /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ @@ -286,11 +287,10 @@ export default class EfficientGraph { } // We use the hash of the edge as the index for the edge. - let index = this.index(from, to); + let index = this.index(from, to, type); if (index === -1) { // The edge is already in the graph; do nothing. - // TODO: throw when types don't match; we don't support edges of multiple types return false; } @@ -298,7 +298,7 @@ export default class EfficientGraph { // Each edge takes up `EDGE_SIZE` space in the `edges` array. // `[type, from, to, nextIncoming, nextOutgoing]` - this.edges[index + TYPE] = fromEdgeType(type); + this.edges[index + TYPE] = type; this.edges[index + FROM] = fromNodeId(from); this.edges[index + TO] = fromNodeId(to); this.edges[index + NEXT_IN] = this.nodes[fromNodeId(to) + FIRST_IN]; @@ -329,8 +329,7 @@ export default class EfficientGraph { this.edges[hash + FROM] === from && this.edges[hash + TO] === to && // if type === ALL_EDGE_TYPES, return all edges - (type === ALL_EDGE_TYPES || - toEdgeType(this.edges[hash + TYPE]) === type) + (type === ALL_EDGE_TYPES || this.edges[hash + TYPE] === type) ) { // If this edge is already in the graph, bail out. return -1; @@ -367,7 +366,7 @@ export default class EfficientGraph { edgeObjs.push({ from: toNodeId(this.edges[i + FROM]), to: toNodeId(this.edges[i + TO]), - type: toEdgeType(this.edges[i + TYPE]), + type: this.edges[i + TYPE], // nextIn: this.edges[i + NEXT_IN], // nextOut: this.edges[i + NEXT_OUT], }); @@ -450,15 +449,12 @@ export default class EfficientGraph { ) { if (Array.isArray(type)) { for (let typeNum of type) { - if (typeNum === 1 || toEdgeType(this.edges[i + TYPE]) === typeNum) { + if (typeNum === ALL_EDGE_TYPES || this.edges[i + TYPE] === typeNum) { yield toNodeId(this.edges[i + TO]); } } } else { - if ( - type === ALL_EDGE_TYPES || - toEdgeType(this.edges[i + TYPE]) === type - ) { + if (type === ALL_EDGE_TYPES || this.edges[i + TYPE] === type) { yield toNodeId(this.edges[i + TO]); } } @@ -479,15 +475,12 @@ export default class EfficientGraph { ) { if (Array.isArray(type)) { for (let typeNum of type) { - if (typeNum === 1 || toEdgeType(this.edges[i + TYPE]) === typeNum) { + if (typeNum === ALL_EDGE_TYPES || this.edges[i + TYPE] === typeNum) { yield toNodeId(this.edges[i + FROM]); } } } else { - if ( - type === ALL_EDGE_TYPES || - toEdgeType(this.edges[i + TYPE]) === type - ) { + if (type === ALL_EDGE_TYPES || this.edges[i + TYPE] === type) { yield toNodeId(this.edges[i + FROM]); } } diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 8c490cbd1a5..bb16cc9ed92 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -104,7 +104,15 @@ export default class Graph { return this.nodes.get(id); } - addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): void { + addEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): boolean { + if (Number(type) === 0) { + throw new Error(`Edge type "${type}" not allowed`); + } + if (!this.getNode(from)) { throw new Error(`"from" node '${fromNodeId(from)}' not found`); } @@ -115,7 +123,7 @@ export default class Graph { // this.outboundEdges.addEdge(from, to, type); // this.inboundEdges.addEdge(to, from, type); - this.adjacencyList.addEdge(from, to, type); + return this.adjacencyList.addEdge(from, to, type); } hasEdge( @@ -256,7 +264,6 @@ export default class Graph { } this.adjacencyList.removeEdge(from, to, type); - if (removeOrphans && this.isOrphanedNode(to)) { this.removeNode(to); } @@ -269,8 +276,11 @@ export default class Graph { // If the graph does not have a root, and there are inbound edges, // this node should not be considered orphaned. // return false; - for (let id of this.adjacencyList.getNodesConnectedTo(nodeId)) { - if (this.hasNode(id)) return false; + // for (let id of this.getNodeIdsConnectedTo(nodeId)) { + // if (this.hasNode(id)) return false; + // } + if (this.getNodeIdsConnectedTo(nodeId, ALL_EDGE_TYPES).length) { + return false; } return true; @@ -304,26 +314,19 @@ export default class Graph { this.nodes.set(nodeId, node); } - /* - Replaces the 'from' NodeId with the 'to' NodeId and replaces the inbound - edges 'to' NodeId's with the new 'to' NodeId - */ - replaceNode( - fromNodeId: NodeId, - toNodeId: NodeId, - type: TEdgeType | NullEdgeType = 1, - ): void { - this._assertHasNodeId(fromNodeId); - // for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { - // this.addEdge(parent, toNodeId, type); - // this.removeEdge(parent, fromNodeId, type); - // } - for (let parent of this.getNodeIdsConnectedTo(fromNodeId, type)) { - this.addEdge(parent, toNodeId, type); - this.removeEdge(parent, fromNodeId, type); - } - this.removeNode(fromNodeId); - } + // TODO: remove because this isn't actually used anywhere? + // replaceNode( + // fromNodeId: NodeId, + // toNodeId: NodeId, + // type: TEdgeType | NullEdgeType = 0, + // ): void { + // this._assertHasNodeId(fromNodeId); + // for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { + // this.addEdge(parent, toNodeId, type); + // this.removeEdge(parent, fromNodeId, type); + // } + // this.removeNode(fromNodeId); + // } // Update a node's downstream nodes making sure to prune any orphaned branches replaceNodeIdsConnectedTo( @@ -334,8 +337,7 @@ export default class Graph { ): void { this._assertHasNodeId(fromNodeId); - // let outboundEdges = this.outboundEdges.getEdges(fromNodeId, type); - let outboundEdges = [...this.getNodeIdsConnectedFrom(fromNodeId, type)]; + let outboundEdges = this.getNodeIdsConnectedFrom(fromNodeId, type); let childrenToRemove = new Set( replaceFilter ? [...outboundEdges].filter(toNodeId => replaceFilter(toNodeId)) diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 5a94caa4653..fa77e13639f 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -10,7 +10,7 @@ import EfficientGraph, { } from '../src/EfficientGraph'; import {toNodeId} from '../src/types'; -describe('EfficientGraph', () => { +describe.only('EfficientGraph', () => { it('constructor should initialize an empty graph', () => { let graph = new EfficientGraph(1, 1); assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); @@ -113,7 +113,7 @@ describe('EfficientGraph', () => { let graph = new EfficientGraph(); let nodeA = graph.addNode(); let nodeB = graph.addNode(); - graph.addEdge(nodeA, nodeB); + assert(graph.addEdge(nodeA, nodeB)); assert(graph.hasEdge(nodeA, nodeB)); }); diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index 156418a2851..d3256937de3 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -20,19 +20,6 @@ describe.only('Graph', () => { assert.equal(graph.nodes.get(id), node); }); - // it('replaces a node', () => { - // let graph = new Graph(); - // let node1 = {id: 'do not use1', type: 'mynode', value: 'a'}; - // let node2 = {id: 'do not use2', type: 'mynode', value: 'b'}; - // let node3 = {id: 'do not use3', type: 'mynode', value: 'c'}; - // let id1 = graph.addNode(node1); - // let id2 = graph.addNode(node2); - // let id3 = graph.addNode(node3); - // graph.addEdge(id1, id2); - // graph.replaceNode(id1, id3); - // assert.equal(); - // }); - it("errors when removeNode is called with a node that doesn't belong", () => { let graph = new Graph(); assert.throws(() => { From e2919602cc8e9887a6ca40d3781ea787cb4618f2 Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 12 May 2021 10:38:31 -0700 Subject: [PATCH 022/117] Add generic TEdgeType to EfficientGraph --- packages/core/core/src/EfficientGraph.js | 62 +++++++++++++++--------- packages/core/core/src/Graph.js | 8 +-- 2 files changed, 42 insertions(+), 28 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 7ccc6557622..c5280158b78 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -3,6 +3,7 @@ import {fromNodeId, toNodeId} from './types'; import type {NodeId} from './types'; import {digraph} from 'graphviz'; import {spawn} from 'child_process'; +import type {NullEdgeType} from './Graph'; /** * Each node is represented with 2 4-byte chunks: @@ -77,6 +78,12 @@ type EdgeAttr = | typeof NEXT_IN | typeof NEXT_OUT; +type Edge = {| + from: NodeId, + to: NodeId, + type: TEdgeType, +|}; + type NodeAttr = typeof FIRST_IN | typeof FIRST_OUT; opaque type EdgeHash = number; @@ -91,7 +98,7 @@ opaque type EdgeType = number; // const fromEdgeType = (type: EdgeType): number => type + 1; // const toEdgeType = (id: number) => Math.max(0, id - 1); -export default class EfficientGraph { +export default class EfficientGraph { /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ nodes: Uint32Array; /** An array of edges, which each edge occupying `EDGE_SIZE` adjacent indices. */ @@ -116,7 +123,7 @@ export default class EfficientGraph { * * The options should match the format returned by the `serialize` method. */ - static deserialize(opts: EfficientGraphOpts): EfficientGraph { + static deserialize(opts: EfficientGraphOpts): EfficientGraph { let res = Object.create(EfficientGraph.prototype); res.nodes = opts.nodes; res.edges = opts.edges; @@ -274,7 +281,11 @@ export default class EfficientGraph { * Returns a `true` if the edge was added, * or `false` if the edge already exists. */ - addEdge(from: NodeId, to: NodeId, type: number = 1): boolean { + addEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): boolean { // The percentage of utilization of the total capacity of `edges`. let load = this.numEdges / (this.edges.length / EDGE_SIZE); // If we're in danger of overflowing the `edges` array, resize it. @@ -317,10 +328,9 @@ export default class EfficientGraph { * otherwise, returns the index at which the edge should be added. * */ - index(from: NodeId, to: NodeId, type: number = 1): number { + index(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { // The index is most often simply the hash of edge. let hash = indexOfEdge(this.hash(from, to)); - // we scan the `edges` array for the next empty slot after the `hash` offset. // We do this instead of simply using the `hash` as the index because // it is possible for multiple edges to have the same hash. @@ -352,13 +362,7 @@ export default class EfficientGraph { // graph.addEdge(1, 2, 2) // graph.addEdge(1, 2, 3) // graph.getAllEdges() only returns [{from: 1, to: 2, type: 2}] - getAllEdges(): Array<{| - from: NodeId, - to: NodeId, - type: EdgeType, - // nextIn: number, - // nextOut: number, - |}> { + getAllEdges(): Array> { let edgeObjs = []; let i = 0; while (i < this.edges.length) { @@ -366,9 +370,7 @@ export default class EfficientGraph { edgeObjs.push({ from: toNodeId(this.edges[i + FROM]), to: toNodeId(this.edges[i + TO]), - type: this.edges[i + TYPE], - // nextIn: this.edges[i + NEXT_IN], - // nextOut: this.edges[i + NEXT_OUT], + type: (this.edges[i + TYPE]: any), }); i += EDGE_SIZE; } @@ -380,14 +382,22 @@ export default class EfficientGraph { /** * Check if the graph has an edge connecting the `from` and `to` nodes. */ - hasEdge(from: NodeId, to: NodeId, type: number = 1): boolean { + hasEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): boolean { return this.index(from, to, type) === -1; } /** * */ - removeEdge(from: NodeId, to: NodeId, type: number = 1): void { + removeEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): void { if (this.index(from, to, type) !== -1) { // The edge is not in the graph; do nothing. return; @@ -440,7 +450,7 @@ export default class EfficientGraph { */ *getNodesConnectedFrom( from: NodeId, - type: number | Array = 1, + type: TEdgeType | NullEdgeType | Array = 1, ): Iterable { for ( let i = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); @@ -466,7 +476,7 @@ export default class EfficientGraph { */ *getNodesConnectedTo( to: NodeId, - type: number | Array = 1, + type: TEdgeType | NullEdgeType | Array = 1, ): Iterable { for ( let i = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); @@ -530,7 +540,7 @@ let nodeColor = {color: 'black', fontcolor: 'black'}; let emptyColor = {color: 'darkgray', fontcolor: 'darkgray'}; let edgeColor = {color: 'brown', fontcolor: 'brown'}; -function toDot(data: EfficientGraph): string { +function toDot(data: EfficientGraph): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.setNodeAttribut('fontsize', 8); @@ -650,7 +660,9 @@ function toDot(data: EfficientGraph): string { return g.to_dot(); } -function nodesToDot(data: EfficientGraph): string { +function nodesToDot( + data: EfficientGraph, +): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.set('nodesep', 0); @@ -713,7 +725,9 @@ function nodesToDot(data: EfficientGraph): string { return g.to_dot(); } -function edgesToDot(data: EfficientGraph): string { +function edgesToDot( + data: EfficientGraph, +): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.set('nodesep', 0); @@ -784,8 +798,8 @@ function edgesToDot(data: EfficientGraph): string { return g.to_dot(); } -export function openGraphViz( - data: EfficientGraph, +export function openGraphViz( + data: EfficientGraph, type?: 'graph' | 'nodes' | 'edges', ): Promise { if (!type) { diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index bb16cc9ed92..7c30c9ecc33 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -8,7 +8,7 @@ import type {TraversalActions, GraphVisitor} from '@parcel/types'; import assert from 'assert'; import nullthrows from 'nullthrows'; -type NullEdgeType = 1; +export type NullEdgeType = 1; export type GraphOpts = {| nodes?: Map, edges?: AdjacencyListMap, @@ -22,7 +22,7 @@ export default class Graph { nodes: Map; inboundEdges: AdjacencyList; outboundEdges: AdjacencyList; - adjacencyList: EfficientGraph; + adjacencyList: EfficientGraph; rootNodeId: ?NodeId; nextNodeId: number = 0; @@ -35,7 +35,7 @@ export default class Graph { if (edges != null) { // this.inboundEdges = new AdjacencyList(); // this.outboundEdges = new AdjacencyList(edges); - this.adjacencyList = new EfficientGraph(); + this.adjacencyList = new EfficientGraph(); for (let [from, edgeList] of edges) { for (let [type, toNodes] of edgeList) { for (let to of toNodes) { @@ -47,7 +47,7 @@ export default class Graph { } else { // this.inboundEdges = new AdjacencyList(); // this.outboundEdges = new AdjacencyList(); - this.adjacencyList = new EfficientGraph(); + this.adjacencyList = new EfficientGraph(); } } From 5b0d083dc319a231d03857c71b87e2e351d68703 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 12 May 2021 16:02:09 -0400 Subject: [PATCH 023/117] Use indexOfEdge and edgeAt helpers --- packages/core/core/src/EfficientGraph.js | 57 ++++++++++++------------ 1 file changed, 28 insertions(+), 29 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index c5280158b78..ef969f95f9c 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -88,7 +88,7 @@ type NodeAttr = typeof FIRST_IN | typeof FIRST_OUT; opaque type EdgeHash = number; /** Get the hash of the edge at the given index in the edges array. */ -const edgeAt = (index: number): EdgeHash => index + 1; +const edgeAt = (index: number): EdgeHash => index - (index % EDGE_SIZE) + 1; /** Get the index in the edges array of the given edge. */ const indexOfEdge = (hash: EdgeHash) => Math.max(0, hash - 1); @@ -178,15 +178,15 @@ export default class EfficientGraph { from += NODE_SIZE ) { /** The last edge copied. */ - let lastHash; + let lastIndex = null; for ( /** The next edge to be copied. */ let hash = this.nodes[from + FIRST_OUT]; hash; - hash = edges[hash - 1 + NEXT_OUT] + hash = edges[indexOfEdge(hash) + NEXT_OUT] ) { /** The node that the next outgoing edge connects to. */ - let to = edges[hash - 1 + TO]; + let to = edges[indexOfEdge(hash) + TO]; /** The index at which to copy this edge. */ let index = this.index(toNodeId(from), toNodeId(to)); if (index === -1) { @@ -195,32 +195,32 @@ export default class EfficientGraph { } // Copy the details of the edge into the new edge list. - this.edges[index + TYPE] = edges[hash - 1 + TYPE]; + this.edges[index + TYPE] = edges[indexOfEdge(hash) + TYPE]; this.edges[index + FROM] = from; this.edges[index + TO] = to; - if (lastHash != null) { + if (lastIndex != null) { // If this edge is not the first outgoing edge from the current node, // link this edge to the last outgoing edge copied. - this.edges[lastHash + NEXT_OUT] = 1 + index; + this.edges[lastIndex + NEXT_OUT] = edgeAt(index); } else { // If this edge is the first outgoing edge from the current node, // link this edge to the current node. - this.nodes[from + FIRST_OUT] = 1 + index; + this.nodes[from + FIRST_OUT] = edgeAt(index); } // Keep track of the last outgoing edge copied. - lastHash = index; + lastIndex = index; } // Reset lastHash for use while copying incoming edges. - lastHash = undefined; + lastIndex = undefined; for ( /** The next incoming edge to be copied. */ let hash = this.nodes[from + FIRST_IN]; hash; - hash = edges[hash - 1 + NEXT_IN] + hash = edges[indexOfEdge(hash) + NEXT_IN] ) { /** The node that the next incoming edge connects from. */ - let from = edges[hash - 1 + FROM]; + let from = edges[indexOfEdge(hash) + FROM]; /** The index at which to copy this edge. */ let index = this.hash(toNodeId(from), toNodeId(from)); // If there is a hash collision, @@ -237,21 +237,21 @@ export default class EfficientGraph { } // Copy the details of the edge into the new edge list. - this.edges[index + TYPE] = edges[hash - 1 + TYPE]; + this.edges[index + TYPE] = edges[indexOfEdge(hash) + TYPE]; this.edges[index + FROM] = from; this.edges[index + TO] = from; - if (lastHash != null) { + if (lastIndex != null) { // If this edge is not the first incoming edge to the current node, // link this edge to the last incoming edge copied. - this.edges[lastHash + NEXT_IN] = 1 + index; + this.edges[lastIndex + NEXT_IN] = edgeAt(index); } else { // If this edge is the first incoming edge from the current node, // link this edge to the current node. - this.nodes[from + FIRST_IN] = 1 + index; + this.nodes[from + FIRST_IN] = edgeAt(index); } // Keep track of the last edge copied. - lastHash = index; + lastIndex = index; } } } @@ -329,17 +329,16 @@ export default class EfficientGraph { * */ index(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { - // The index is most often simply the hash of edge. - let hash = indexOfEdge(this.hash(from, to)); - // we scan the `edges` array for the next empty slot after the `hash` offset. - // We do this instead of simply using the `hash` as the index because - // it is possible for multiple edges to have the same hash. - while (this.edges[hash + TYPE]) { + let index = indexOfEdge(this.hash(from, to)); + // we scan the `edges` array for the next empty slot after the `index`. + // We do this instead of simply using the `index` because it is possible + // for multiple edges to have the same hash. + while (this.edges[index + TYPE]) { if ( - this.edges[hash + FROM] === from && - this.edges[hash + TO] === to && + this.edges[index + FROM] === from && + this.edges[index + TO] === to && // if type === ALL_EDGE_TYPES, return all edges - (type === ALL_EDGE_TYPES || this.edges[hash + TYPE] === type) + (type === ALL_EDGE_TYPES || this.edges[index + TYPE] === type) ) { // If this edge is already in the graph, bail out. return -1; @@ -349,11 +348,11 @@ export default class EfficientGraph { // Note that each 'slot' is of size `EDGE_SIZE`. // Also note that we handle overflow of `edges` by wrapping // back to the beginning of the `edges` array. - hash = (hash + EDGE_SIZE) % this.edges.length; + index = (index + EDGE_SIZE) % this.edges.length; } } - return hash; + return index; } // Probably not the best way to do this @@ -504,7 +503,7 @@ export default class EfficientGraph { * * TODO: add type to hash function */ - hash(from: NodeId, to: NodeId): number { + hash(from: NodeId, to: NodeId): EdgeHash { return ( 1 + // 1 is added to every hash to guarantee a truthy result. Math.abs( From 4a0d5b43f86fb20c8bda5d623bbb2f5ba3fda794 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 12 May 2021 17:12:44 -0400 Subject: [PATCH 024/117] Fix node storage overlap This adds `nodeAt` and `indexOfNode` utils to abstract away the bookkeeping for storing and retrieving nodes in the byte array. Also fixes a bug where subsequently added nodes would partially overlap previous nodes in the byte array. --- packages/core/core/src/EfficientGraph.js | 26 +++++++++++++++--------- 1 file changed, 16 insertions(+), 10 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index ef969f95f9c..c742133dc59 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -98,6 +98,12 @@ opaque type EdgeType = number; // const fromEdgeType = (type: EdgeType): number => type + 1; // const toEdgeType = (id: number) => Math.max(0, id - 1); +/** Get the id of the node at the given index in the nodes array. */ +const nodeAt = (index: number): NodeId => + toNodeId((index - (index % NODE_SIZE)) / NODE_SIZE); +/** Get the index in the nodes array of the given node. */ +const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; + export default class EfficientGraph { /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ nodes: Uint32Array; @@ -312,12 +318,12 @@ export default class EfficientGraph { this.edges[index + TYPE] = type; this.edges[index + FROM] = fromNodeId(from); this.edges[index + TO] = fromNodeId(to); - this.edges[index + NEXT_IN] = this.nodes[fromNodeId(to) + FIRST_IN]; - this.edges[index + NEXT_OUT] = this.nodes[fromNodeId(from) + FIRST_OUT]; + this.edges[index + NEXT_IN] = this.nodes[indexOfNode(to) + FIRST_IN]; + this.edges[index + NEXT_OUT] = this.nodes[indexOfNode(from) + FIRST_OUT]; // We store the hash of this edge as the `to` node's incoming edge // and as the `from` node's outgoing edge. - this.nodes[fromNodeId(to) + FIRST_IN] = edgeAt(index); - this.nodes[fromNodeId(from) + FIRST_OUT] = edgeAt(index); + this.nodes[indexOfNode(to) + FIRST_IN] = edgeAt(index); + this.nodes[indexOfNode(from) + FIRST_OUT] = edgeAt(index); return true; } @@ -406,9 +412,9 @@ export default class EfficientGraph { // Update pointers to the removed edge to the next outgoing edge. let nextOut = this.edges[index + NEXT_OUT]; - let fromFirstOut = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); + let fromFirstOut = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); if (fromFirstOut === index) { - this.nodes[fromNodeId(from) + FIRST_OUT] = nextOut; + this.nodes[indexOfNode(from) + FIRST_OUT] = nextOut; } else { while (fromFirstOut) { if (fromFirstOut === index) { @@ -421,9 +427,9 @@ export default class EfficientGraph { // Update pointers to the removed edge to the next incoming edge. let nextIn = this.edges[index + NEXT_IN]; - let fromFirstIn = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); + let fromFirstIn = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); if (fromFirstIn === index) { - this.nodes[fromNodeId(to) + FIRST_IN] = nextIn; + this.nodes[indexOfNode(to) + FIRST_IN] = nextIn; } else { while (fromFirstIn) { if (fromFirstIn === index) { @@ -452,7 +458,7 @@ export default class EfficientGraph { type: TEdgeType | NullEdgeType | Array = 1, ): Iterable { for ( - let i = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); + let i = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); i; i = indexOfEdge(this.edges[i + NEXT_OUT]) ) { @@ -478,7 +484,7 @@ export default class EfficientGraph { type: TEdgeType | NullEdgeType | Array = 1, ): Iterable { for ( - let i = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); + let i = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); i; i = indexOfEdge(this.edges[i + NEXT_IN]) ) { From d4a470cb36a22852dee3c8a13eb7c225afbda909 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 12 May 2021 17:19:18 -0400 Subject: [PATCH 025/117] Fix graphviz for nodes with multiple edges --- packages/core/core/src/EfficientGraph.js | 128 ++++++++++------------- 1 file changed, 58 insertions(+), 70 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index c742133dc59..05621049c92 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -568,36 +568,54 @@ function toDot(data: EfficientGraph): string { adjacencyList.setEdgeAttribut('fontcolor', edgeColor.color); adjacencyList.setEdgeAttribut('fontsize', 6); - for (let i = 0; i < data.edges.length; i++) { - let type = data.edges[i + TYPE]; - if (type) { - let from = data.edges[i + FROM]; - let to = data.edges[i + TO]; - let nextIn = data.edges[i + NEXT_IN]; - let nextOut = data.edges[i + NEXT_OUT]; - // TODO: add type to label? - let label = String(edgeAt(i)); + for (let i = 0; i < data.nodes.length; i += NODE_SIZE) { + let firstIn = data.nodes[i + FIRST_IN]; + let firstOut = data.nodes[i + FIRST_OUT]; - let fromFirstIn = data.nodes[from + FIRST_IN]; - let fromFirstOut = data.nodes[from + FIRST_OUT]; - let toFirstIn = data.nodes[to + FIRST_IN]; - let toFirstOut = data.nodes[to + FIRST_OUT]; + if (!firstIn && !firstOut) continue; - graph.addEdge(String(from), String(to), {label}); + adjacencyList.addNode(`node${nodeAt(i)}`, { + label: `node ${nodeAt( + i, + )} | { ${firstIn} | ${firstOut} }`, + ...nodeColor, + }); - adjacencyList.addNode(`node${from}`, { - label: `node ${from} | { ${fromFirstIn} | ${fromFirstOut} }`, + if (firstIn) { + adjacencyList.addEdge(`node${nodeAt(i)}`, `edge${firstIn}`, { + tailport: 'FIRST_IN', + label: 'FIRST_IN', ...nodeColor, }); + } - adjacencyList.addNode(`edge${label}`, { - label: `edge ${label} | { ${type - - 1} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, + if (firstOut) { + adjacencyList.addEdge(`node${nodeAt(i)}`, `edge${firstOut}`, { + tailport: 'FIRST_OUT', + label: 'FIRST_OUT', + ...nodeColor, }); + } - adjacencyList.addNode(`node${to}`, { - label: `node ${to} | { ${toFirstIn} | ${toFirstOut} }`, - ...nodeColor, + let nextEdge = firstOut; + while (nextEdge) { + let index = indexOfEdge(nextEdge); + let type = data.edges[index + TYPE]; + let from = data.edges[index + FROM]; + let to = data.edges[index + TO]; + let nextIn = data.edges[index + NEXT_IN]; + let nextOut = data.edges[index + NEXT_OUT]; + // TODO: add type to label? + let label = String(nextEdge); + + graph.addEdge( + String(nodeAt(i)), + String(data.edges[indexOfEdge(nextEdge) + TO]), + {label}, + ); + + adjacencyList.addNode(`edge${label}`, { + label: `edge ${label} | { ${type} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, }); adjacencyList.addEdge(`edge${label}`, `node${from}`, { @@ -626,39 +644,7 @@ function toDot(data: EfficientGraph): string { }); } - if (fromFirstIn) { - adjacencyList.addEdge(`node${from}`, `edge${label}`, { - tailport: 'FIRST_IN', - label: 'FIRST_IN', - ...nodeColor, - }); - } - - if (fromFirstOut) { - adjacencyList.addEdge(`node${from}`, `edge${label}`, { - tailport: 'FIRST_OUT', - label: 'FIRST_OUT', - ...nodeColor, - }); - } - - if (toFirstIn) { - adjacencyList.addEdge(`node${to}`, `edge${label}`, { - tailport: 'FIRST_IN', - label: 'FIRST_IN', - ...nodeColor, - }); - } - - if (toFirstOut) { - adjacencyList.addEdge(`node${to}`, `edge${label}`, { - tailport: 'FIRST_OUT', - label: 'FIRST_OUT', - ...nodeColor, - }); - } - - i += EDGE_SIZE; + nextEdge = nextOut; } } @@ -685,43 +671,45 @@ function nodesToDot( nodes.setEdgeAttribut('style', 'invis'); let lastOut = 0; - for (let i = 0; i < data.nodes.length / NODE_SIZE; i++) { + for (let i = 0; i < data.nodes.length; i += NODE_SIZE) { let firstIn = data.nodes[i + FIRST_IN]; let firstOut = data.nodes[i + FIRST_OUT]; if (firstIn || firstOut) { - if (lastOut < i - FIRST_OUT) { + if (lastOut < i - NODE_SIZE) { if (lastOut === 0) { nodes.addNode(`node${lastOut}`, { - label: `${lastOut}…${i - 1} | `, + label: `${lastOut}…${i - NODE_SIZE} | `, ...emptyColor, }); } else { - nodes.addNode(`node${lastOut + 1}`, { - label: `${lastOut + 1}…${i - 1} | `, + nodes.addNode(`node${lastOut + NODE_SIZE}`, { + label: `${lastOut + NODE_SIZE}…${i - NODE_SIZE} | `, ...emptyColor, }); - nodes.addEdge(`node${lastOut}`, `node${lastOut + 1}`); - lastOut += 1; + nodes.addEdge(`node${lastOut}`, `node${lastOut + NODE_SIZE}`); + lastOut += NODE_SIZE; } } + nodes.addNode(`node${i}`, { - label: `${i} | {${firstIn} | ${firstOut}}`, + label: `${fromNodeId(nodeAt(i))} | {${firstIn} | ${firstOut}}`, }); + nodes.addEdge(`node${lastOut}`, `node${i}`); lastOut = i; - } else if (i === data.nodes.length / NODE_SIZE - 1) { - if (lastOut < i - FIRST_OUT) { + } else if (i === data.nodes.length - NODE_SIZE) { + if (lastOut < i - NODE_SIZE) { if (lastOut === 0) { nodes.addNode(`node${lastOut}`, { - label: `${lastOut}…${i - 1} | `, + label: `${lastOut}…${i - NODE_SIZE} | `, ...emptyColor, }); } else { - nodes.addNode(`node${lastOut + 1}`, { - label: `${lastOut + 1}…${i - 1} | `, + nodes.addNode(`node${lastOut + NODE_SIZE}`, { + label: `${lastOut + NODE_SIZE}…${i - NODE_SIZE} | `, ...emptyColor, }); - nodes.addEdge(`node${lastOut}`, `node${lastOut + 1}`); + nodes.addEdge(`node${lastOut}`, `node${lastOut + NODE_SIZE}`); } } } @@ -822,7 +810,7 @@ export function openGraphViz( }); }); - let dot = spawn('dot', ['-Tpng'], {stdio: ['pipe']}); + let dot = spawn('dot', ['-T', 'png'], {stdio: ['pipe']}); dot.stdout.pipe(preview.stdin); dot.stdin.write(data.toDot(type)); dot.stdin.end(); From d573e7a6ac1ada1493001494223e93f194a4b3ae Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 12 May 2021 10:38:31 -0700 Subject: [PATCH 026/117] Add generic TEdgeType to EfficientGraph --- packages/core/core/src/EfficientGraph.js | 62 +++++++++++++++--------- packages/core/core/src/Graph.js | 12 ++--- 2 files changed, 44 insertions(+), 30 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 7ccc6557622..c5280158b78 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -3,6 +3,7 @@ import {fromNodeId, toNodeId} from './types'; import type {NodeId} from './types'; import {digraph} from 'graphviz'; import {spawn} from 'child_process'; +import type {NullEdgeType} from './Graph'; /** * Each node is represented with 2 4-byte chunks: @@ -77,6 +78,12 @@ type EdgeAttr = | typeof NEXT_IN | typeof NEXT_OUT; +type Edge = {| + from: NodeId, + to: NodeId, + type: TEdgeType, +|}; + type NodeAttr = typeof FIRST_IN | typeof FIRST_OUT; opaque type EdgeHash = number; @@ -91,7 +98,7 @@ opaque type EdgeType = number; // const fromEdgeType = (type: EdgeType): number => type + 1; // const toEdgeType = (id: number) => Math.max(0, id - 1); -export default class EfficientGraph { +export default class EfficientGraph { /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ nodes: Uint32Array; /** An array of edges, which each edge occupying `EDGE_SIZE` adjacent indices. */ @@ -116,7 +123,7 @@ export default class EfficientGraph { * * The options should match the format returned by the `serialize` method. */ - static deserialize(opts: EfficientGraphOpts): EfficientGraph { + static deserialize(opts: EfficientGraphOpts): EfficientGraph { let res = Object.create(EfficientGraph.prototype); res.nodes = opts.nodes; res.edges = opts.edges; @@ -274,7 +281,11 @@ export default class EfficientGraph { * Returns a `true` if the edge was added, * or `false` if the edge already exists. */ - addEdge(from: NodeId, to: NodeId, type: number = 1): boolean { + addEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): boolean { // The percentage of utilization of the total capacity of `edges`. let load = this.numEdges / (this.edges.length / EDGE_SIZE); // If we're in danger of overflowing the `edges` array, resize it. @@ -317,10 +328,9 @@ export default class EfficientGraph { * otherwise, returns the index at which the edge should be added. * */ - index(from: NodeId, to: NodeId, type: number = 1): number { + index(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { // The index is most often simply the hash of edge. let hash = indexOfEdge(this.hash(from, to)); - // we scan the `edges` array for the next empty slot after the `hash` offset. // We do this instead of simply using the `hash` as the index because // it is possible for multiple edges to have the same hash. @@ -352,13 +362,7 @@ export default class EfficientGraph { // graph.addEdge(1, 2, 2) // graph.addEdge(1, 2, 3) // graph.getAllEdges() only returns [{from: 1, to: 2, type: 2}] - getAllEdges(): Array<{| - from: NodeId, - to: NodeId, - type: EdgeType, - // nextIn: number, - // nextOut: number, - |}> { + getAllEdges(): Array> { let edgeObjs = []; let i = 0; while (i < this.edges.length) { @@ -366,9 +370,7 @@ export default class EfficientGraph { edgeObjs.push({ from: toNodeId(this.edges[i + FROM]), to: toNodeId(this.edges[i + TO]), - type: this.edges[i + TYPE], - // nextIn: this.edges[i + NEXT_IN], - // nextOut: this.edges[i + NEXT_OUT], + type: (this.edges[i + TYPE]: any), }); i += EDGE_SIZE; } @@ -380,14 +382,22 @@ export default class EfficientGraph { /** * Check if the graph has an edge connecting the `from` and `to` nodes. */ - hasEdge(from: NodeId, to: NodeId, type: number = 1): boolean { + hasEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): boolean { return this.index(from, to, type) === -1; } /** * */ - removeEdge(from: NodeId, to: NodeId, type: number = 1): void { + removeEdge( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): void { if (this.index(from, to, type) !== -1) { // The edge is not in the graph; do nothing. return; @@ -440,7 +450,7 @@ export default class EfficientGraph { */ *getNodesConnectedFrom( from: NodeId, - type: number | Array = 1, + type: TEdgeType | NullEdgeType | Array = 1, ): Iterable { for ( let i = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); @@ -466,7 +476,7 @@ export default class EfficientGraph { */ *getNodesConnectedTo( to: NodeId, - type: number | Array = 1, + type: TEdgeType | NullEdgeType | Array = 1, ): Iterable { for ( let i = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); @@ -530,7 +540,7 @@ let nodeColor = {color: 'black', fontcolor: 'black'}; let emptyColor = {color: 'darkgray', fontcolor: 'darkgray'}; let edgeColor = {color: 'brown', fontcolor: 'brown'}; -function toDot(data: EfficientGraph): string { +function toDot(data: EfficientGraph): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.setNodeAttribut('fontsize', 8); @@ -650,7 +660,9 @@ function toDot(data: EfficientGraph): string { return g.to_dot(); } -function nodesToDot(data: EfficientGraph): string { +function nodesToDot( + data: EfficientGraph, +): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.set('nodesep', 0); @@ -713,7 +725,9 @@ function nodesToDot(data: EfficientGraph): string { return g.to_dot(); } -function edgesToDot(data: EfficientGraph): string { +function edgesToDot( + data: EfficientGraph, +): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.set('nodesep', 0); @@ -784,8 +798,8 @@ function edgesToDot(data: EfficientGraph): string { return g.to_dot(); } -export function openGraphViz( - data: EfficientGraph, +export function openGraphViz( + data: EfficientGraph, type?: 'graph' | 'nodes' | 'edges', ): Promise { if (!type) { diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index bb16cc9ed92..42c91dd791e 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -8,7 +8,7 @@ import type {TraversalActions, GraphVisitor} from '@parcel/types'; import assert from 'assert'; import nullthrows from 'nullthrows'; -type NullEdgeType = 1; +export type NullEdgeType = 1; export type GraphOpts = {| nodes?: Map, edges?: AdjacencyListMap, @@ -22,7 +22,7 @@ export default class Graph { nodes: Map; inboundEdges: AdjacencyList; outboundEdges: AdjacencyList; - adjacencyList: EfficientGraph; + adjacencyList: EfficientGraph; rootNodeId: ?NodeId; nextNodeId: number = 0; @@ -35,7 +35,7 @@ export default class Graph { if (edges != null) { // this.inboundEdges = new AdjacencyList(); // this.outboundEdges = new AdjacencyList(edges); - this.adjacencyList = new EfficientGraph(); + this.adjacencyList = new EfficientGraph(); for (let [from, edgeList] of edges) { for (let [type, toNodes] of edgeList) { for (let to of toNodes) { @@ -47,7 +47,7 @@ export default class Graph { } else { // this.inboundEdges = new AdjacencyList(); // this.outboundEdges = new AdjacencyList(); - this.adjacencyList = new EfficientGraph(); + this.adjacencyList = new EfficientGraph(); } } @@ -141,7 +141,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return [...this.adjacencyList.getNodesConnectedTo(nodeId, Number(type))]; + return [...this.adjacencyList.getNodesConnectedTo(nodeId, type)]; // let inboundByType = this.inboundEdges.getEdgesByType(nodeId); // if (inboundByType == null) { // return []; @@ -175,7 +175,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return [...this.adjacencyList.getNodesConnectedFrom(nodeId, Number(type))]; + return [...this.adjacencyList.getNodesConnectedFrom(nodeId, type)]; // let outboundByType = this.outboundEdges.getEdgesByType(nodeId); // if (outboundByType == null) { // return []; From 943a0c23d5113f89221995dc13a998d4bef827ae Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 12 May 2021 18:52:01 -0400 Subject: [PATCH 027/117] Fix removeEdge for nodes with multiple edges --- packages/core/core/src/EfficientGraph.js | 36 +++++++++++++----------- 1 file changed, 19 insertions(+), 17 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 05621049c92..e4f4865f29a 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -408,36 +408,38 @@ export default class EfficientGraph { return; } - let index = this.hash(from, to /*, type*/); + let index = indexOfEdge(this.hash(from, to /*, type*/)); - // Update pointers to the removed edge to the next outgoing edge. + // Remove outgoing ref to this edge from incoming node. let nextOut = this.edges[index + NEXT_OUT]; - let fromFirstOut = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); - if (fromFirstOut === index) { + let outIndex = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); + if (outIndex === index) { this.nodes[indexOfNode(from) + FIRST_OUT] = nextOut; } else { - while (fromFirstOut) { - if (fromFirstOut === index) { - this.edges[fromFirstOut + NEXT_OUT] = nextOut; + let prevOut = outIndex; + do { + outIndex = indexOfEdge(this.edges[outIndex + NEXT_OUT]); + if (outIndex === index) { + this.edges[prevOut + NEXT_OUT] = nextOut; break; } - fromFirstOut = this.edges[fromFirstOut + NEXT_OUT]; - } + } while (outIndex); } - // Update pointers to the removed edge to the next incoming edge. + // Remove incoming ref to this edge from to outgoing node. let nextIn = this.edges[index + NEXT_IN]; - let fromFirstIn = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); - if (fromFirstIn === index) { + let inIndex = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); + if (inIndex === index) { this.nodes[indexOfNode(to) + FIRST_IN] = nextIn; } else { - while (fromFirstIn) { - if (fromFirstIn === index) { - this.edges[fromFirstIn + NEXT_IN] = nextIn; + let prevIn = inIndex; + do { + inIndex = indexOfEdge(this.edges[inIndex + NEXT_IN]); + if (inIndex === index) { + this.edges[prevIn + NEXT_IN] = nextIn; break; } - fromFirstIn = this.edges[fromFirstIn + NEXT_IN]; - } + } while (inIndex); } // Free up this space in the edges list. From 7a6ccc5fc6c0c0cb751fe6876fdc5b6f1c3497c7 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 13 May 2021 11:47:59 -0400 Subject: [PATCH 028/117] Fix isOrphanedNode --- packages/core/core/src/EfficientGraph.js | 12 ++++++++++-- packages/core/core/src/Graph.js | 14 +++++--------- 2 files changed, 15 insertions(+), 11 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index e4f4865f29a..5b0015d1040 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -457,7 +457,11 @@ export default class EfficientGraph { */ *getNodesConnectedFrom( from: NodeId, - type: TEdgeType | NullEdgeType | Array = 1, + type: + | ALL_EDGE_TYPES + | TEdgeType + | NullEdgeType + | Array = 1, ): Iterable { for ( let i = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); @@ -483,7 +487,11 @@ export default class EfficientGraph { */ *getNodesConnectedTo( to: NodeId, - type: TEdgeType | NullEdgeType | Array = 1, + type: + | ALL_EDGE_TYPES + | TEdgeType + | NullEdgeType + | Array = 1, ): Iterable { for ( let i = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 7c30c9ecc33..c3d5f56f43b 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -275,15 +275,11 @@ export default class Graph { if (this.rootNodeId == null) { // If the graph does not have a root, and there are inbound edges, // this node should not be considered orphaned. - // return false; - // for (let id of this.getNodeIdsConnectedTo(nodeId)) { - // if (this.hasNode(id)) return false; - // } - if (this.getNodeIdsConnectedTo(nodeId, ALL_EDGE_TYPES).length) { - return false; - } - - return true; + // If the connected nodes iterator is immediately done, + // we'll know there are no inbound edges to the node in question. + return this.adjacencyList + .getNodesConnectedTo(nodeId, ALL_EDGE_TYPES) + .next().done; } // Otherwise, attempt to traverse backwards to the root. If there is a path, From a18022e74c8cb16ee673b8dfc71d6ba297e46e08 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 13 May 2021 12:51:55 -0400 Subject: [PATCH 029/117] Fix type mismatches between Graph and EfficientGraph --- packages/core/core/src/EfficientGraph.js | 59 +++++++++++++++++++----- packages/core/core/src/Graph.js | 7 +-- 2 files changed, 51 insertions(+), 15 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 5b0015d1040..6764a876e56 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -3,7 +3,7 @@ import {fromNodeId, toNodeId} from './types'; import type {NodeId} from './types'; import {digraph} from 'graphviz'; import {spawn} from 'child_process'; -import type {NullEdgeType} from './Graph'; +import type {NullEdgeType, AllEdgeTypes} from './Graph'; /** * Each node is represented with 2 4-byte chunks: @@ -62,7 +62,7 @@ const FIRST_IN: 0 = 0; /** The offset to `NODE_SIZE` at which the hash of the first outgoing edge is stored. */ const FIRST_OUT: 1 = 1; -export const ALL_EDGE_TYPES = '@@all_edge_types'; +export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; type EfficientGraphOpts = {| nodes: Uint32Array, @@ -334,7 +334,11 @@ export default class EfficientGraph { * otherwise, returns the index at which the edge should be added. * */ - index(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { + index( + from: NodeId, + to: NodeId, + type: AllEdgeTypes | TEdgeType | NullEdgeType = 1, + ): number { let index = indexOfEdge(this.hash(from, to)); // we scan the `edges` array for the next empty slot after the `index`. // We do this instead of simply using the `index` because it is possible @@ -452,17 +456,48 @@ export default class EfficientGraph { this.numEdges--; } + /** + * + */ + getEdges( + from: NodeId, + type: + | AllEdgeTypes + | TEdgeType + | NullEdgeType + | Array = 1, + ): $ReadOnlySet { + return new Set(this.getNodesConnectedFrom(from, type)); + } + + /** + * + */ + // getEdgesByType(from: NodeId): $ReadOnlyMap> { + // let typeMap = new Map(); + // for ( + // let i = this.nodes[indexOfNode(from) + FIRST_OUT]; + // i; + // i = this.edges[indexOfEdge(i) + NEXT_OUT] + // ) { + // let type = this.edges[indexOfEdge(i) + TYPE]; + // let nodeSet = typeMap.get(type) || new Set(); + // nodeSet.add(toNodeId(i)); + // typeMap.set(type, nodeSet); + // } + // return typeMap; + // } /** * Get the list of nodes connected from this node. */ *getNodesConnectedFrom( from: NodeId, type: - | ALL_EDGE_TYPES + | AllEdgeTypes | TEdgeType | NullEdgeType | Array = 1, - ): Iterable { + ): Iterator { for ( let i = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); i; @@ -488,11 +523,11 @@ export default class EfficientGraph { *getNodesConnectedTo( to: NodeId, type: - | ALL_EDGE_TYPES + | AllEdgeTypes | TEdgeType | NullEdgeType | Array = 1, - ): Iterable { + ): Iterator { for ( let i = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); i; @@ -584,15 +619,15 @@ function toDot(data: EfficientGraph): string { if (!firstIn && !firstOut) continue; - adjacencyList.addNode(`node${nodeAt(i)}`, { - label: `node ${nodeAt( - i, + adjacencyList.addNode(`node${String(nodeAt(i))}`, { + label: `node ${String( + nodeAt(i), )} | { ${firstIn} | ${firstOut} }`, ...nodeColor, }); if (firstIn) { - adjacencyList.addEdge(`node${nodeAt(i)}`, `edge${firstIn}`, { + adjacencyList.addEdge(`node${String(nodeAt(i))}`, `edge${firstIn}`, { tailport: 'FIRST_IN', label: 'FIRST_IN', ...nodeColor, @@ -600,7 +635,7 @@ function toDot(data: EfficientGraph): string { } if (firstOut) { - adjacencyList.addEdge(`node${nodeAt(i)}`, `edge${firstOut}`, { + adjacencyList.addEdge(`node${String(nodeAt(i))}`, `edge${firstOut}`, { tailport: 'FIRST_OUT', label: 'FIRST_OUT', ...nodeColor, diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index c3d5f56f43b..2986a968309 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -16,7 +16,8 @@ export type GraphOpts = {| nextNodeId?: ?number, |}; -export const ALL_EDGE_TYPES = '@@all_edge_types'; +export type AllEdgeTypes = '@@all_edge_types'; +export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; export default class Graph { nodes: Map; @@ -141,7 +142,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return [...this.adjacencyList.getNodesConnectedTo(nodeId, Number(type))]; + return [...this.adjacencyList.getNodesConnectedTo(nodeId, type)]; // let inboundByType = this.inboundEdges.getEdgesByType(nodeId); // if (inboundByType == null) { // return []; @@ -175,7 +176,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return [...this.adjacencyList.getNodesConnectedFrom(nodeId, Number(type))]; + return [...this.adjacencyList.getNodesConnectedFrom(nodeId, type)]; // let outboundByType = this.outboundEdges.getEdgesByType(nodeId); // if (outboundByType == null) { // return []; From f7142f798fe3a28f1680f4e2d00950cbc4f5d244 Mon Sep 17 00:00:00 2001 From: thebriando Date: Thu, 13 May 2021 10:18:48 -0700 Subject: [PATCH 030/117] hash edge types --- packages/core/core/src/EfficientGraph.js | 13 +++++++++---- 1 file changed, 9 insertions(+), 4 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index c5280158b78..45594de5459 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -221,8 +221,9 @@ export default class EfficientGraph { ) { /** The node that the next incoming edge connects from. */ let from = edges[hash - 1 + FROM]; + let type = edges[hash - 1 + TYPE]; /** The index at which to copy this edge. */ - let index = this.hash(toNodeId(from), toNodeId(from)); + let index = this.hash(toNodeId(from), toNodeId(from), type); // If there is a hash collision, // scan the edges array for a space to copy the edge. while (this.edges[index + TYPE]) { @@ -403,7 +404,7 @@ export default class EfficientGraph { return; } - let index = this.hash(from, to /*, type*/); + let index = this.hash(from, to, type); // Update pointers to the removed edge to the next outgoing edge. let nextOut = this.edges[index + NEXT_OUT]; @@ -504,11 +505,15 @@ export default class EfficientGraph { * * TODO: add type to hash function */ - hash(from: NodeId, to: NodeId): number { + hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { return ( 1 + // 1 is added to every hash to guarantee a truthy result. Math.abs( - ((fromNodeId(from) + 111111) * (fromNodeId(to) - 333333) * EDGE_SIZE) % + // TODO: Look more into how this hash function works + ((type + 555555) * + (fromNodeId(from) + 111111) * + (fromNodeId(to) - 333333) * + EDGE_SIZE) % this.edges.length, ) ); From 6cb15add9cea2a8e9afc8c732ebf8eae84be9f50 Mon Sep 17 00:00:00 2001 From: thebriando Date: Thu, 13 May 2021 10:19:43 -0700 Subject: [PATCH 031/117] add getEdgesByType functions --- .flowconfig | 1 + packages/core/core/src/EfficientGraph.js | 33 +++++++++++- packages/core/core/src/Graph.js | 52 +++++++++++++------ .../core/core/test/EfficientGraph.test.js | 17 ++---- packages/core/core/test/Graph.test.js | 2 +- 5 files changed, 73 insertions(+), 32 deletions(-) diff --git a/.flowconfig b/.flowconfig index 38bd9977d23..9eafa1aaebf 100644 --- a/.flowconfig +++ b/.flowconfig @@ -27,6 +27,7 @@ esproposal.nullish_coalescing=enable esproposal.optional_chaining=enable module.system.node.main_field=source module.system.node.main_field=main +experimental.enums=true [strict] nonstrict-import diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 45594de5459..0dc6b31819a 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -331,7 +331,7 @@ export default class EfficientGraph { */ index(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { // The index is most often simply the hash of edge. - let hash = indexOfEdge(this.hash(from, to)); + let hash = indexOfEdge(this.hash(from, to, type)); // we scan the `edges` array for the next empty slot after the `hash` offset. // We do this instead of simply using the `hash` as the index because // it is possible for multiple edges to have the same hash. @@ -446,6 +446,36 @@ export default class EfficientGraph { this.numEdges--; } + *getInboundEdgesByType( + to: NodeId, + ): Iterable<{|type: TEdgeType, from: NodeId|}> { + for ( + let i = indexOfEdge(this.nodes[fromNodeId(to) + FIRST_IN]); + i; + i = indexOfEdge(this.edges[i + NEXT_IN]) + ) { + yield { + type: (this.edges[i + TYPE]: any), + from: toNodeId(this.edges[i + FROM]), + }; + } + } + + *getOutboundEdgesByType( + from: NodeId, + ): Iterable<{|type: TEdgeType, to: NodeId|}> { + for ( + let i = indexOfEdge(this.nodes[fromNodeId(from) + FIRST_OUT]); + i; + i = indexOfEdge(this.edges[i + NEXT_OUT]) + ) { + yield { + type: (this.edges[i + TYPE]: any), + to: toNodeId(this.edges[i + TO]), + }; + } + } + /** * Get the list of nodes connected from this node. */ @@ -503,7 +533,6 @@ export default class EfficientGraph { * * This hash is used to index the edge in the `edges` array. * - * TODO: add type to hash function */ hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): number { return ( diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 42c91dd791e..bb4bf0f1487 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -207,34 +207,52 @@ export default class Graph { removeNode(nodeId: NodeId) { this._assertHasNodeId(nodeId); - for (let from of [ - ...this.adjacencyList.getNodesConnectedTo( - nodeId, - // $FlowFixMe - ALL_EDGE_TYPES, - ), + for (let {type, from} of [ + ...this.adjacencyList.getInboundEdgesByType(nodeId), ]) { this.removeEdge( from, nodeId, - // $FlowFixMe - ALL_EDGE_TYPES /* any type */, + type, // Do not allow orphans to be removed as this node could be one // and is already being removed. - false /* removeOrphans */, + false, ); } + // for (let from of [ + // ...this.adjacencyList.getNodesConnectedTo( + // nodeId, + // // $FlowFixMe + // ALL_EDGE_TYPES, + // ), + // ]) { + // this.removeEdge( + // from, + // nodeId, + // // $FlowFixMe + // ALL_EDGE_TYPES /* any type */, + // // Do not allow orphans to be removed as this node could be one + // // and is already being removed. + // false /* removeOrphans */, + // ); + // } - for (let to of [ - ...this.adjacencyList.getNodesConnectedFrom( - nodeId, - // $FlowFixMe - ALL_EDGE_TYPES, - ), + for (let {type, to} of [ + ...this.adjacencyList.getOutboundEdgesByType(nodeId), ]) { - this.removeEdge(nodeId, to); + this.removeEdge(nodeId, to, type); } + // for (let to of [ + // ...this.adjacencyList.getNodesConnectedFrom( + // nodeId, + // // $FlowFixMe + // ALL_EDGE_TYPES, + // ), + // ]) { + // this.removeEdge(nodeId, to); + // } + let wasRemoved = this.nodes.delete(nodeId); assert(wasRemoved); } @@ -279,7 +297,7 @@ export default class Graph { // for (let id of this.getNodeIdsConnectedTo(nodeId)) { // if (this.hasNode(id)) return false; // } - if (this.getNodeIdsConnectedTo(nodeId, ALL_EDGE_TYPES).length) { + if ([...this.adjacencyList.getInboundEdgesByType(nodeId)].length) { return false; } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index fa77e13639f..934628aa729 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -102,9 +102,9 @@ describe.only('EfficientGraph', () => { assert.deepEqual( [...graph.getAllEdges()], [ - {from: 1, to: 2, type: 2}, {from: 1, to: 2, type: 3}, {from: 4, to: 5, type: 1}, + {from: 1, to: 2, type: 2}, ], ); }); @@ -120,14 +120,7 @@ describe.only('EfficientGraph', () => { it('hasEdge should return true for existing edges', () => { let graph = new EfficientGraph(); graph.addEdge(toNodeId(2), toNodeId(3), 2); - assert( - graph.hasEdge( - toNodeId(2), - toNodeId(3), - // $FlowFixMe - ALL_EDGE_TYPES, - ), - ); + assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); }); @@ -196,9 +189,9 @@ describe.only('EfficientGraph', () => { it('getNodesConnectedTo returns correct node ids with multiple edge types', () => { let graph = new EfficientGraph(); - graph.addEdge(toNodeId(1), toNodeId(5), 2); - graph.addEdge(toNodeId(2), toNodeId(5), 3); - graph.addEdge(toNodeId(3), toNodeId(5), 4); + assert(graph.addEdge(toNodeId(1), toNodeId(5), 2)); + assert(graph.addEdge(toNodeId(2), toNodeId(5), 3)); + assert(graph.addEdge(toNodeId(3), toNodeId(5), 4)); assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(5), [3])], [2]); assert.deepEqual( diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index d3256937de3..6bdecbe9038 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -262,7 +262,7 @@ describe.only('Graph', () => { } }); - it("replaceNodeIdsConnectedTo should update a node's downstream nodes", () => { + it.only("replaceNodeIdsConnectedTo should update a node's downstream nodes", () => { let graph = new Graph(); let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); From 6a8910b01ff864856646bd96aec21e7ad150d43b Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 13 May 2021 14:14:48 -0400 Subject: [PATCH 032/117] Fix Graph tests that check for null edge type --- packages/core/core/test/AssetGraph.test.js | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/packages/core/core/test/AssetGraph.test.js b/packages/core/core/test/AssetGraph.test.js index 554343cc6a5..670d6e5e0fd 100644 --- a/packages/core/core/test/AssetGraph.test.js +++ b/packages/core/core/test/AssetGraph.test.js @@ -124,12 +124,12 @@ describe('AssetGraph', () => { { from: graph.rootNodeId, to: graph.getNodeIdByContentKey('entry_specifier:/path/to/index1'), - type: 0, + type: 1, }, { from: graph.rootNodeId, to: graph.getNodeIdByContentKey('entry_specifier:/path/to/index2'), - type: 0, + type: 1, }, { from: graph.getNodeIdByContentKey('entry_specifier:/path/to/index1'), @@ -139,7 +139,7 @@ describe('AssetGraph', () => { packagePath: '/path/to/index1', }).id, ), - type: 0, + type: 1, }, { from: graph.getNodeIdByContentKey('entry_specifier:/path/to/index2'), @@ -149,7 +149,7 @@ describe('AssetGraph', () => { packagePath: '/path/to/index2', }).id, ), - type: 0, + type: 1, }, { from: graph.getNodeIdByContentKey( @@ -165,7 +165,7 @@ describe('AssetGraph', () => { env: DEFAULT_ENV, }).id, ), - type: 0, + type: 1, }, { from: graph.getNodeIdByContentKey( @@ -181,7 +181,7 @@ describe('AssetGraph', () => { env: DEFAULT_ENV, }).id, ), - type: 0, + type: 1, }, ]); }); From 848285901d6b32bb5ec0c02f255b9d82af8e4344 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 13 May 2021 18:21:17 -0400 Subject: [PATCH 033/117] preserve edge insertion order in getAllEdges Lots of test cases seem to expect this. I'm not sure if that is intentional or not, but it seems reasonable to do this, regardless. --- packages/core/core/src/EfficientGraph.js | 69 ++++++++++++++++-------- 1 file changed, 47 insertions(+), 22 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index d7fce63c4dc..e84c507327e 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -294,6 +294,14 @@ export default class EfficientGraph { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { + // We use the hash of the edge as the index for the edge. + let index = this.index(from, to, type); + + if (index === -1) { + // The edge is already in the graph; do nothing. + return false; + } + // The percentage of utilization of the total capacity of `edges`. let load = this.numEdges / (this.edges.length / EDGE_SIZE); // If we're in danger of overflowing the `edges` array, resize it. @@ -305,14 +313,6 @@ export default class EfficientGraph { this.resizeEdges((this.edges.length / EDGE_SIZE) * 2); } - // We use the hash of the edge as the index for the edge. - let index = this.index(from, to, type); - - if (index === -1) { - // The edge is already in the graph; do nothing. - return false; - } - this.numEdges++; // Each edge takes up `EDGE_SIZE` space in the `edges` array. @@ -320,12 +320,37 @@ export default class EfficientGraph { this.edges[index + TYPE] = type; this.edges[index + FROM] = fromNodeId(from); this.edges[index + TO] = fromNodeId(to); - this.edges[index + NEXT_IN] = this.nodes[indexOfNode(to) + FIRST_IN]; - this.edges[index + NEXT_OUT] = this.nodes[indexOfNode(from) + FIRST_OUT]; - // We store the hash of this edge as the `to` node's incoming edge - // and as the `from` node's outgoing edge. - this.nodes[indexOfNode(to) + FIRST_IN] = edgeAt(index); - this.nodes[indexOfNode(from) + FIRST_OUT] = edgeAt(index); + + // Set this edge as the first incoming edge on the `to` node, + // Unless it already has a first incoming edge. + // In that case, append this edge as the next incoming edge + // after the last incoming edge to have been added. + let nextIn = this.nodes[indexOfNode(to) + FIRST_IN]; + if (nextIn) { + let nextInIndex = indexOfEdge(nextIn); + for (let i = nextInIndex; i; i = indexOfEdge(this.edges[i + NEXT_IN])) { + nextInIndex = i; + } + this.edges[nextInIndex + NEXT_IN] = edgeAt(index); + } else { + // We store the hash of this edge as the `to` node's incoming edge. + this.nodes[indexOfNode(to) + FIRST_IN] = edgeAt(index); + } + + // Set this edge as the first outgoing edge on the `from` node, + // Unless it already has a first outgoing edge. + // In that case, append this edge as the next outgoing edge + // after the last outgoing edge to have been added. + let nextOut = this.nodes[indexOfNode(from) + FIRST_OUT]; + if (nextOut) { + let nextOutIndex = indexOfEdge(nextOut); + for (let i = nextOutIndex; i; i = indexOfEdge(this.edges[i + NEXT_OUT])) { + nextOutIndex = i; + } + this.edges[nextOutIndex + NEXT_OUT] = edgeAt(index); + } else { + this.nodes[indexOfNode(from) + FIRST_OUT] = edgeAt(index); + } return true; } @@ -372,17 +397,17 @@ export default class EfficientGraph { // graph.getAllEdges() only returns [{from: 1, to: 2, type: 2}] getAllEdges(): Array> { let edgeObjs = []; - let i = 0; - while (i < this.edges.length) { - if (this.edges[i + TYPE]) { + for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { + let nextEdge = this.nodes[i + FIRST_OUT]; + while (nextEdge) { + let edgeIndex = indexOfEdge(nextEdge); edgeObjs.push({ - from: toNodeId(this.edges[i + FROM]), - to: toNodeId(this.edges[i + TO]), - type: (this.edges[i + TYPE]: any), + from: toNodeId(this.edges[edgeIndex + FROM]), + to: toNodeId(this.edges[edgeIndex + TO]), + type: (this.edges[edgeIndex + TYPE]: any), }); - i += EDGE_SIZE; + nextEdge = this.edges[edgeIndex + NEXT_OUT]; } - i++; } return edgeObjs; } From 8d5a8575d019277015609b4ea69f4f79e2a53abc Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 14 May 2021 16:17:42 -0400 Subject: [PATCH 034/117] Fix removeEdge for edges that have hash collisions Also attempt to disambiguate some of the naming for hash and index functions. --- packages/core/core/src/EfficientGraph.js | 124 +++++++++++++++-------- 1 file changed, 79 insertions(+), 45 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index e84c507327e..83ec388c950 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -88,9 +88,9 @@ type NodeAttr = typeof FIRST_IN | typeof FIRST_OUT; opaque type EdgeHash = number; /** Get the hash of the edge at the given index in the edges array. */ -const edgeAt = (index: number): EdgeHash => index + 1; +const indexToHash = (index: number): EdgeHash => index + 1; /** Get the index in the edges array of the given edge. */ -const indexOfEdge = (hash: EdgeHash) => Math.max(0, hash - 1); +const hashToIndex = (hash: EdgeHash) => Math.max(0, hash - 1); opaque type EdgeType = number; /** remove these for now in favor of preventing 0 edge types in Graph */ @@ -189,13 +189,13 @@ export default class EfficientGraph { /** The next edge to be copied. */ let hash = this.nodes[from + FIRST_OUT]; hash; - hash = edges[indexOfEdge(hash) + NEXT_OUT] + hash = edges[hashToIndex(hash) + NEXT_OUT] ) { /** The node that the next outgoing edge connects to. */ - let to = edges[indexOfEdge(hash) + TO]; - let type = edges[indexOfEdge(hash) + TYPE]; + let to = edges[hashToIndex(hash) + TO]; + let type = (edges[hashToIndex(hash) + TYPE]: any); /** The index at which to copy this edge. */ - let index = this.index(toNodeId(from), toNodeId(to), type); + let index = this.indexFor(toNodeId(from), toNodeId(to), type); if (index === -1) { // Edge already copied? continue; @@ -208,11 +208,11 @@ export default class EfficientGraph { if (lastIndex != null) { // If this edge is not the first outgoing edge from the current node, // link this edge to the last outgoing edge copied. - this.edges[lastIndex + NEXT_OUT] = edgeAt(index); + this.edges[lastIndex + NEXT_OUT] = indexToHash(index); } else { // If this edge is the first outgoing edge from the current node, // link this edge to the current node. - this.nodes[from + FIRST_OUT] = edgeAt(index); + this.nodes[from + FIRST_OUT] = indexToHash(index); } // Keep track of the last outgoing edge copied. lastIndex = index; @@ -224,11 +224,11 @@ export default class EfficientGraph { /** The next incoming edge to be copied. */ let hash = this.nodes[from + FIRST_IN]; hash; - hash = edges[indexOfEdge(hash) + NEXT_IN] + hash = edges[hashToIndex(hash) + NEXT_IN] ) { /** The node that the next incoming edge connects from. */ - let from = edges[indexOfEdge(hash) + FROM]; - let type = edges[indexOfEdge(hash) + TYPE]; + let from = edges[hashToIndex(hash) + FROM]; + let type = (edges[hashToIndex(hash) + TYPE]: any); /** The index at which to copy this edge. */ let index = this.hash(toNodeId(from), toNodeId(from), type); // If there is a hash collision, @@ -251,11 +251,11 @@ export default class EfficientGraph { if (lastIndex != null) { // If this edge is not the first incoming edge to the current node, // link this edge to the last incoming edge copied. - this.edges[lastIndex + NEXT_IN] = edgeAt(index); + this.edges[lastIndex + NEXT_IN] = indexToHash(index); } else { // If this edge is the first incoming edge from the current node, // link this edge to the current node. - this.nodes[from + FIRST_IN] = edgeAt(index); + this.nodes[from + FIRST_IN] = indexToHash(index); } // Keep track of the last edge copied. @@ -286,7 +286,7 @@ export default class EfficientGraph { /** * Adds an edge to the graph. * - * Returns a `true` if the edge was added, + * Returns `true` if the edge was added, * or `false` if the edge already exists. */ addEdge( @@ -295,7 +295,7 @@ export default class EfficientGraph { type: TEdgeType | NullEdgeType = 1, ): boolean { // We use the hash of the edge as the index for the edge. - let index = this.index(from, to, type); + let index = this.indexFor(from, to, type); if (index === -1) { // The edge is already in the graph; do nothing. @@ -327,14 +327,14 @@ export default class EfficientGraph { // after the last incoming edge to have been added. let nextIn = this.nodes[indexOfNode(to) + FIRST_IN]; if (nextIn) { - let nextInIndex = indexOfEdge(nextIn); - for (let i = nextInIndex; i; i = indexOfEdge(this.edges[i + NEXT_IN])) { + let nextInIndex = hashToIndex(nextIn); + for (let i = nextInIndex; i; i = hashToIndex(this.edges[i + NEXT_IN])) { nextInIndex = i; } - this.edges[nextInIndex + NEXT_IN] = edgeAt(index); + this.edges[nextInIndex + NEXT_IN] = indexToHash(index); } else { // We store the hash of this edge as the `to` node's incoming edge. - this.nodes[indexOfNode(to) + FIRST_IN] = edgeAt(index); + this.nodes[indexOfNode(to) + FIRST_IN] = indexToHash(index); } // Set this edge as the first outgoing edge on the `from` node, @@ -343,18 +343,53 @@ export default class EfficientGraph { // after the last outgoing edge to have been added. let nextOut = this.nodes[indexOfNode(from) + FIRST_OUT]; if (nextOut) { - let nextOutIndex = indexOfEdge(nextOut); - for (let i = nextOutIndex; i; i = indexOfEdge(this.edges[i + NEXT_OUT])) { + let nextOutIndex = hashToIndex(nextOut); + for (let i = nextOutIndex; i; i = hashToIndex(this.edges[i + NEXT_OUT])) { nextOutIndex = i; } - this.edges[nextOutIndex + NEXT_OUT] = edgeAt(index); + this.edges[nextOutIndex + NEXT_OUT] = indexToHash(index); } else { - this.nodes[indexOfNode(from) + FIRST_OUT] = edgeAt(index); + this.nodes[indexOfNode(from) + FIRST_OUT] = indexToHash(index); } return true; } + /** + * Get the index of the edge connecting the `from` and `to` nodes. + * + * If an edge connecting `from` and `to` does not exist, returns `-1`. + */ + indexOf(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { + let index = hashToIndex(this.hash(from, to, type)); + // We want to avoid scanning the array forever, + // so keep track of where we start scanning from. + let startIndex = index; + // Since it is possible for multiple edges to have the same hash, + // we check that the edge at the index matching the hash is actually + // the edge we're looking for. If it's not, we scan forward in the + // edges array, assuming that the the edge we're looking for is close by. + while (this.edges[index + TYPE]) { + if ( + this.edges[index + FROM] === from && + this.edges[index + TO] === to && + (type === ALL_EDGE_TYPES || this.edges[index + TYPE] === type) + ) { + return index; + } else { + // The edge at at this index is not the edge we're looking for, + // so scan forward to the next edge, wrapping back to + // the beginning of the `edges` array if we overflow. + index = (index + EDGE_SIZE) % this.edges.length; + + // We have scanned the whole array unsuccessfully. + if (index === startIndex) break; + } + } + + return -1; + } + /** * Get the index at which to add an edge connecting the `from` and `to` nodes. * @@ -362,8 +397,8 @@ export default class EfficientGraph { * otherwise, returns the index at which the edge should be added. * */ - index(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { - let index = indexOfEdge(this.hash(from, to, type)); + indexFor(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { + let index = hashToIndex(this.hash(from, to, type)); // we scan the `edges` array for the next empty slot after the `index`. // We do this instead of simply using the `index` because it is possible // for multiple edges to have the same hash. @@ -400,7 +435,7 @@ export default class EfficientGraph { for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { let nextEdge = this.nodes[i + FIRST_OUT]; while (nextEdge) { - let edgeIndex = indexOfEdge(nextEdge); + let edgeIndex = hashToIndex(nextEdge); edgeObjs.push({ from: toNodeId(this.edges[edgeIndex + FROM]), to: toNodeId(this.edges[edgeIndex + TO]), @@ -420,7 +455,7 @@ export default class EfficientGraph { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - return this.index(from, to, type) === -1; + return this.indexFor(from, to, type) === -1; } /** @@ -431,22 +466,21 @@ export default class EfficientGraph { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): void { - if (this.index(from, to, type) !== -1) { + let index = this.indexOf(from, to, type); + if (index === -1) { // The edge is not in the graph; do nothing. return; } - let index = indexOfEdge(this.hash(from, to, type)); - // Remove outgoing ref to this edge from incoming node. let nextOut = this.edges[index + NEXT_OUT]; - let outIndex = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); + let outIndex = hashToIndex(this.nodes[indexOfNode(from) + FIRST_OUT]); if (outIndex === index) { this.nodes[indexOfNode(from) + FIRST_OUT] = nextOut; } else { let prevOut = outIndex; do { - outIndex = indexOfEdge(this.edges[outIndex + NEXT_OUT]); + outIndex = hashToIndex(this.edges[outIndex + NEXT_OUT]); if (outIndex === index) { this.edges[prevOut + NEXT_OUT] = nextOut; break; @@ -456,13 +490,13 @@ export default class EfficientGraph { // Remove incoming ref to this edge from to outgoing node. let nextIn = this.edges[index + NEXT_IN]; - let inIndex = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); + let inIndex = hashToIndex(this.nodes[indexOfNode(to) + FIRST_IN]); if (inIndex === index) { this.nodes[indexOfNode(to) + FIRST_IN] = nextIn; } else { let prevIn = inIndex; do { - inIndex = indexOfEdge(this.edges[inIndex + NEXT_IN]); + inIndex = hashToIndex(this.edges[inIndex + NEXT_IN]); if (inIndex === index) { this.edges[prevIn + NEXT_IN] = nextIn; break; @@ -484,9 +518,9 @@ export default class EfficientGraph { to: NodeId, ): Iterable<{|type: TEdgeType, from: NodeId|}> { for ( - let i = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); + let i = hashToIndex(this.nodes[indexOfNode(to) + FIRST_IN]); i; - i = indexOfEdge(this.edges[i + NEXT_IN]) + i = hashToIndex(this.edges[i + NEXT_IN]) ) { yield { type: (this.edges[i + TYPE]: any), @@ -499,9 +533,9 @@ export default class EfficientGraph { from: NodeId, ): Iterable<{|type: TEdgeType, to: NodeId|}> { for ( - let i = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); + let i = hashToIndex(this.nodes[indexOfNode(from) + FIRST_OUT]); i; - i = indexOfEdge(this.edges[i + NEXT_OUT]) + i = hashToIndex(this.edges[i + NEXT_OUT]) ) { yield { type: (this.edges[i + TYPE]: any), @@ -553,9 +587,9 @@ export default class EfficientGraph { | Array = 1, ): Iterator { for ( - let i = indexOfEdge(this.nodes[indexOfNode(from) + FIRST_OUT]); + let i = hashToIndex(this.nodes[indexOfNode(from) + FIRST_OUT]); i; - i = indexOfEdge(this.edges[i + NEXT_OUT]) + i = hashToIndex(this.edges[i + NEXT_OUT]) ) { if (Array.isArray(type)) { for (let typeNum of type) { @@ -583,9 +617,9 @@ export default class EfficientGraph { | Array = 1, ): Iterator { for ( - let i = indexOfEdge(this.nodes[indexOfNode(to) + FIRST_IN]); + let i = hashToIndex(this.nodes[indexOfNode(to) + FIRST_IN]); i; - i = indexOfEdge(this.edges[i + NEXT_IN]) + i = hashToIndex(this.edges[i + NEXT_IN]) ) { if (Array.isArray(type)) { for (let typeNum of type) { @@ -701,7 +735,7 @@ function toDot(data: EfficientGraph): string { let nextEdge = firstOut; while (nextEdge) { - let index = indexOfEdge(nextEdge); + let index = hashToIndex(nextEdge); let type = data.edges[index + TYPE]; let from = data.edges[index + FROM]; let to = data.edges[index + TO]; @@ -712,7 +746,7 @@ function toDot(data: EfficientGraph): string { graph.addEdge( String(nodeAt(i)), - String(data.edges[indexOfEdge(nextEdge) + TO]), + String(data.edges[hashToIndex(nextEdge) + TO]), {label}, ); @@ -865,7 +899,7 @@ function edgesToDot( } edges.addNode(`edge${i}`, { - label: `${edgeAt( + label: `${indexToHash( i, )} | {${type} | ${from} | ${to} | ${nextIn} | ${nextOut}}`, }); From 4dc9f7cb9ec1669c068487ffe1d2feede5878888 Mon Sep 17 00:00:00 2001 From: thebriando Date: Sun, 16 May 2021 22:16:39 -0700 Subject: [PATCH 035/117] Remove old AdjacencyList, serialize EfficientGraph in Graph, update BundleGraph to use new functions --- packages/core/core/src/AssetGraph.js | 14 ++- packages/core/core/src/BundleGraph.js | 18 +++- packages/core/core/src/ContentGraph.js | 12 ++- packages/core/core/src/EfficientGraph.js | 8 +- packages/core/core/src/Graph.js | 93 ++++--------------- packages/core/core/src/RequestTracker.js | 17 +++- .../core/core/test/EfficientGraph.test.js | 2 +- packages/core/core/test/Graph.test.js | 2 +- 8 files changed, 71 insertions(+), 95 deletions(-) diff --git a/packages/core/core/src/AssetGraph.js b/packages/core/core/src/AssetGraph.js index 83c3be11df6..15823c717ec 100644 --- a/packages/core/core/src/AssetGraph.js +++ b/packages/core/core/src/AssetGraph.js @@ -26,7 +26,10 @@ import { objectSortedEntries, } from '@parcel/utils'; import nullthrows from 'nullthrows'; -import ContentGraph, {type SerializedContentGraph} from './ContentGraph'; +import ContentGraph, { + type SerializedContentGraph, + type ContentGraphOpts, +} from './ContentGraph'; import {createDependency} from './Dependency'; type InitOpts = {| @@ -35,6 +38,11 @@ type InitOpts = {| assetGroups?: Array, |}; +type AssetGraphOpts = {| + ...ContentGraphOpts, + hash?: ?string, +|}; + type SerializedAssetGraph = {| ...SerializedContentGraph, hash?: ?string, @@ -104,7 +112,7 @@ export default class AssetGraph extends ContentGraph { hash: ?string; envCache: Map; - constructor(opts: ?SerializedAssetGraph) { + constructor(opts: ?AssetGraphOpts) { if (opts) { let {hash, ...rest} = opts; super(rest); @@ -123,7 +131,7 @@ export default class AssetGraph extends ContentGraph { } // $FlowFixMe[prop-missing] - static deserialize(opts: SerializedAssetGraph): AssetGraph { + static deserialize(opts: AssetGraphOpts): AssetGraph { return new AssetGraph(opts); } diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index 99b680d38b7..49b445882e6 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -28,7 +28,10 @@ import {objectSortedEntriesDeep} from '@parcel/utils'; import {getBundleGroupId, getPublicId} from './utils'; import {ALL_EDGE_TYPES, mapVisitor} from './Graph'; -import ContentGraph, {type SerializedContentGraph} from './ContentGraph'; +import ContentGraph, { + type SerializedContentGraph, + type ContentGraphOpts, +} from './ContentGraph'; import Environment from './public/Environment'; export const bundleGraphEdgeTypes = { @@ -70,6 +73,13 @@ type InternalExportSymbolResolution = {| +exportAs: Symbol | string, |}; +type BundleGraphOpts = {| + graph: ContentGraphOpts, + bundleContentHashes: Map, + assetPublicIds: Set, + publicIdByAssetId: Map, +|}; + type SerializedBundleGraph = {| $$raw: true, graph: SerializedContentGraph, @@ -165,7 +175,7 @@ export default class BundleGraph { let fromIds; if (assetGroupIds.has(edge.from)) { fromIds = [ - ...assetGraph.inboundEdges.getEdges( + ...assetGraph.getNodeIdsConnectedTo( edge.from, bundleGraphEdgeTypes.null, ), @@ -176,7 +186,7 @@ export default class BundleGraph { for (let from of fromIds) { if (assetGroupIds.has(edge.to)) { - for (let to of assetGraph.outboundEdges.getEdges( + for (let to of assetGraph.getNodeIdsConnectedFrom( edge.to, bundleGraphEdgeTypes.null, )) { @@ -212,7 +222,7 @@ export default class BundleGraph { }; } - static deserialize(serialized: SerializedBundleGraph): BundleGraph { + static deserialize(serialized: BundleGraphOpts): BundleGraph { return new BundleGraph({ graph: ContentGraph.deserialize(serialized.graph), assetPublicIds: serialized.assetPublicIds, diff --git a/packages/core/core/src/ContentGraph.js b/packages/core/core/src/ContentGraph.js index 8c59bab44f2..07552b9521c 100644 --- a/packages/core/core/src/ContentGraph.js +++ b/packages/core/core/src/ContentGraph.js @@ -1,13 +1,17 @@ // @flow strict-local -import Graph, {type GraphOpts} from './Graph'; +import Graph, {type SerializedGraph, type GraphOpts} from './Graph'; import type {ContentKey, Node, NodeId} from './types'; import nullthrows from 'nullthrows'; -export type SerializedContentGraph = {| +export type ContentGraphOpts = {| ...GraphOpts, _contentKeyToNodeId: Map, |}; +export type SerializedContentGraph = {| + ...SerializedGraph, + _contentKeyToNodeId: Map, +|}; export default class ContentGraph< TNode: Node, @@ -15,7 +19,7 @@ export default class ContentGraph< > extends Graph { _contentKeyToNodeId: Map; - constructor(opts: ?SerializedContentGraph) { + constructor(opts: ?ContentGraphOpts) { if (opts) { let {_contentKeyToNodeId, ...rest} = opts; super(rest); @@ -28,7 +32,7 @@ export default class ContentGraph< // $FlowFixMe[prop-missing] static deserialize( - opts: SerializedContentGraph, + opts: ContentGraphOpts, ): ContentGraph { return new ContentGraph(opts); } diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 83ec388c950..5903785a75a 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -64,7 +64,7 @@ const FIRST_OUT: 1 = 1; export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; -type EfficientGraphOpts = {| +export type SerializedEfficientGraph = {| nodes: Uint32Array, edges: Uint32Array, numNodes: number, @@ -129,7 +129,9 @@ export default class EfficientGraph { * * The options should match the format returned by the `serialize` method. */ - static deserialize(opts: EfficientGraphOpts): EfficientGraph { + static deserialize( + opts: SerializedEfficientGraph, + ): EfficientGraph { let res = Object.create(EfficientGraph.prototype); res.nodes = opts.nodes; res.edges = opts.edges; @@ -141,7 +143,7 @@ export default class EfficientGraph { /** * Returns a JSON-serializable object of the nodes and edges in the graph. */ - serialize(): EfficientGraphOpts { + serialize(): SerializedEfficientGraph { return { nodes: this.nodes, edges: this.edges, diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index d252133a63f..794544d61f3 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -1,7 +1,7 @@ // @flow strict-local import {fromNodeId} from './types'; -import EfficientGraph from './EfficientGraph'; +import EfficientGraph, {type SerializedEfficientGraph} from './EfficientGraph'; import type {Edge, Node, NodeId} from './types'; import type {TraversalActions, GraphVisitor} from '@parcel/types'; @@ -11,18 +11,23 @@ import nullthrows from 'nullthrows'; export type NullEdgeType = 1; export type GraphOpts = {| nodes?: Map, - edges?: AdjacencyListMap, + adjacencyList?: EfficientGraph, rootNodeId?: ?NodeId, nextNodeId?: ?number, |}; +export type SerializedGraph = {| + nodes: Map, + adjacencyList: SerializedEfficientGraph, + rootNodeId: ?NodeId, + nextNodeId: number, +|}; + export type AllEdgeTypes = '@@all_edge_types'; export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; export default class Graph { nodes: Map; - inboundEdges: AdjacencyList; - outboundEdges: AdjacencyList; adjacencyList: EfficientGraph; rootNodeId: ?NodeId; nextNodeId: number = 0; @@ -32,24 +37,10 @@ export default class Graph { this.setRootNodeId(opts?.rootNodeId); this.nextNodeId = opts?.nextNodeId ?? 0; - let edges = opts?.edges; - if (edges != null) { - // this.inboundEdges = new AdjacencyList(); - // this.outboundEdges = new AdjacencyList(edges); - this.adjacencyList = new EfficientGraph(); - for (let [from, edgeList] of edges) { - for (let [type, toNodes] of edgeList) { - for (let to of toNodes) { - // this.inboundEdges.addEdge(to, from, type); - this.adjacencyList.addEdge(to, from, type); - } - } - } - } else { - // this.inboundEdges = new AdjacencyList(); - // this.outboundEdges = new AdjacencyList(); - this.adjacencyList = new EfficientGraph(); - } + let adjacencyList = opts?.adjacencyList; + this.adjacencyList = adjacencyList + ? adjacencyList + : new EfficientGraph(); } setRootNodeId(id: ?NodeId) { @@ -61,16 +52,16 @@ export default class Graph { ): Graph { return new this({ nodes: opts.nodes, - edges: opts.edges, + adjacencyList: opts.adjacencyList, rootNodeId: opts.rootNodeId, nextNodeId: opts.nextNodeId, }); } - serialize(): GraphOpts { + serialize(): SerializedGraph { return { nodes: this.nodes, - edges: this.outboundEdges.getListMap(), + adjacencyList: this.adjacencyList.serialize(), rootNodeId: this.rootNodeId, nextNodeId: this.nextNodeId, }; @@ -606,55 +597,3 @@ export function mapVisitor( }, }; } - -type AdjacencyListMap = Map>>; -class AdjacencyList { - _listMap: AdjacencyListMap; - - constructor(listMap?: AdjacencyListMap) { - this._listMap = listMap ?? new Map(); - } - - getListMap(): AdjacencyListMap { - return this._listMap; - } - - getEdges(from: NodeId, type: TEdgeType): $ReadOnlySet { - return this._listMap.get(from)?.get(type) ?? new Set(); - } - - getEdgesByType(from: NodeId): $ReadOnlyMap> { - return this._listMap.get(from) ?? new Map(); - } - - hasEdge(from: NodeId, to: NodeId, type: TEdgeType): boolean { - return Boolean( - this._listMap - .get(from) - ?.get(type) - ?.has(to), - ); - } - - addEdge(from: NodeId, to: NodeId, type: TEdgeType): void { - let types = this._listMap.get(from); - if (types == null) { - types = new Map>(); - this._listMap.set(from, types); - } - - let adjacent = types.get(type); - if (adjacent == null) { - adjacent = new Set(); - types.set(type, adjacent); - } - adjacent.add(to); - } - - removeEdge(from: NodeId, to: NodeId, type: TEdgeType): void { - this._listMap - .get(from) - ?.get(type) - ?.delete(to); - } -} diff --git a/packages/core/core/src/RequestTracker.js b/packages/core/core/src/RequestTracker.js index 7d1f356251b..855b0ceb667 100644 --- a/packages/core/core/src/RequestTracker.js +++ b/packages/core/core/src/RequestTracker.js @@ -27,7 +27,10 @@ import { md5FromObject, md5FromString, } from '@parcel/utils'; -import ContentGraph, {type SerializedContentGraph} from './ContentGraph'; +import ContentGraph, { + type SerializedContentGraph, + type ContentGraphOpts, +} from './ContentGraph'; import {assertSignalNotAborted, hashFromOption} from './utils'; import { PARCEL_VERSION, @@ -52,6 +55,16 @@ export const requestGraphEdgeTypes = { }; type RequestGraphEdgeType = $Values; + +type RequestGraphOpts = {| + ...ContentGraphOpts, + invalidNodeIds: Set, + incompleteNodeIds: Set, + globNodeIds: Set, + envNodeIds: Set, + optionNodeIds: Set, + unpredicatableNodeIds: Set, +|}; type SerializedRequestGraph = {| ...SerializedContentGraph, invalidNodeIds: Set, @@ -197,7 +210,7 @@ export class RequestGraph extends ContentGraph< unpredicatableNodeIds: Set = new Set(); // $FlowFixMe[prop-missing] - static deserialize(opts: SerializedRequestGraph): RequestGraph { + static deserialize(opts: RequestGraphOpts): RequestGraph { // $FlowFixMe[prop-missing] let deserialized = new RequestGraph(opts); deserialized.invalidNodeIds = opts.invalidNodeIds; diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 934628aa729..9d3c24eef9e 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -10,7 +10,7 @@ import EfficientGraph, { } from '../src/EfficientGraph'; import {toNodeId} from '../src/types'; -describe.only('EfficientGraph', () => { +describe('EfficientGraph', () => { it('constructor should initialize an empty graph', () => { let graph = new EfficientGraph(1, 1); assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index ae3522e8e25..bc97ae98846 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -6,7 +6,7 @@ import sinon from 'sinon'; import Graph from '../src/Graph'; import {toNodeId} from '../src/types'; -describe.only('Graph', () => { +describe('Graph', () => { it('constructor should initialize an empty graph', () => { let graph = new Graph(); assert.deepEqual(graph.nodes, new Map()); From 64d1119995ed41bf26b00a31182131f3371de67a Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 26 May 2021 15:49:59 -0400 Subject: [PATCH 036/117] Clean up EfficientGraph tests --- .../core/core/test/EfficientGraph.test.js | 427 ++---------------- 1 file changed, 27 insertions(+), 400 deletions(-) diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 9d3c24eef9e..03f23699328 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -1,13 +1,8 @@ // @flow strict-local import assert from 'assert'; -import sinon from 'sinon'; -import EfficientGraph, { - ALL_EDGE_TYPES, - NODE_SIZE, - EDGE_SIZE, -} from '../src/EfficientGraph'; +import EfficientGraph, {NODE_SIZE, EDGE_SIZE} from '../src/EfficientGraph'; import {toNodeId} from '../src/types'; describe('EfficientGraph', () => { @@ -26,408 +21,40 @@ describe('EfficientGraph', () => { assert.equal(graph.numNodes, 1); }); - // TODO: test 'addNode should resize nodes as needed' - - // it("errors when removeNode is called with a node that doesn't belong", () => { - // let graph = new EfficientGraph(); - // assert.throws(() => { - // graph.removeNode(toNodeId(-1)); - // }, /Does not have node/); - // }); - - // it('errors when traversing a graph with no root', () => { - // let graph = new EfficientGraph(); - - // assert.throws(() => { - // graph.traverse(() => {}); - // }, /A start node is required to traverse/); - // }); - - // it("errors when traversing a graph with a startNode that doesn't belong", () => { - // let graph = new EfficientGraph(); - - // assert.throws(() => { - // graph.traverse(() => {}, toNodeId(-1)); - // }, /Does not have node/); - // }); - - // it("errors if replaceNodeIdsConnectedTo is called with a node that doesn't belong", () => { - // let graph = new EfficientGraph(); - // assert.throws(() => { - // graph.replaceNodeIdsConnectedTo(toNodeId(-1), []); - // }, /Does not have node/); - // }); - - // it("errors when adding an edge to a node that doesn't exist", () => { - // let graph = new EfficientGraph(); - // let node = graph.addNode(); - // assert.throws(() => { - // graph.addEdge(node, toNodeId(-1)); - // }, /"to" node '-1' not found/); - // }); - - // it("errors when adding an edge from a node that doesn't exist", () => { - // let graph = new EfficientGraph(); - // let node = graph.addNode(); - // assert.throws(() => { - // graph.addEdge(toNodeId(-1), node); - // }, /"from" node '-1' not found/); - // }); - - // it('addEdge will resize if needed', () => { - // let graph = new EfficientGraph(); - // for (let i = 0; i < 2048; i++) { - // graph.addNode(); - // graph.addEdge(toNodeId(i), toNodeId(i + 1), i + 2); - // } - - // assert.deepEqual( - // [...graph.getNodesConnectedFrom(toNodeId(1574), 1576)], - // [1575], - // ); - // }); - - // it('hasNode should return a boolean based on whether the node exists in the graph', () => { - // let graph = new EfficientGraph(); - // let node = graph.addNode(); - // assert(graph.hasNode(node)); - // assert(!graph.hasNode(toNodeId(-1))); - // }); - - it('getAllEdges returns all edges', () => { - let graph = new EfficientGraph(); - graph.addEdge(toNodeId(1), toNodeId(2), 2); - graph.addEdge(toNodeId(1), toNodeId(2), 3); - graph.addEdge(toNodeId(4), toNodeId(5)); - assert.deepEqual( - [...graph.getAllEdges()], - [ - {from: 1, to: 2, type: 3}, - {from: 4, to: 5, type: 1}, - {from: 1, to: 2, type: 2}, - ], - ); + it('addNode should resize nodes array when necessary', () => { + let graph = new EfficientGraph(1); + graph.addNode(); + assert.deepEqual(graph.nodes, new Uint32Array(2 * NODE_SIZE)); + graph.addNode(); + assert.deepEqual(graph.nodes, new Uint32Array(4 * NODE_SIZE)); + graph.addNode(); + assert.deepEqual(graph.nodes, new Uint32Array(4 * NODE_SIZE)); + graph.addNode(); + assert.deepEqual(graph.nodes, new Uint32Array(8 * NODE_SIZE)); }); - it('addEdge should add an edge to the graph', () => { + it('removeNode should remove a node from the graph', () => { let graph = new EfficientGraph(); - let nodeA = graph.addNode(); - let nodeB = graph.addNode(); - assert(graph.addEdge(nodeA, nodeB)); - assert(graph.hasEdge(nodeA, nodeB)); - }); - - it('hasEdge should return true for existing edges', () => { - let graph = new EfficientGraph(); - graph.addEdge(toNodeId(2), toNodeId(3), 2); - assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); - assert(graph.hasEdge(toNodeId(2), toNodeId(3), 2)); - }); - - it('hasEdge should return false for nonexistent edges', () => { - let graph = new EfficientGraph(); - graph.addEdge(toNodeId(2), toNodeId(3), 2); - assert(!graph.hasEdge(toNodeId(3), toNodeId(2))); - assert(!graph.hasEdge(toNodeId(2), toNodeId(3), 3)); - }); - - it('getNodesConnectedFrom returns correct node ids', () => { - let graph = new EfficientGraph(); - graph.addEdge(toNodeId(2), toNodeId(3)); - graph.addEdge(toNodeId(2), toNodeId(4), 2); - graph.addEdge(toNodeId(2), toNodeId(5), 3); - graph.addEdge(toNodeId(3), toNodeId(4)); - - // should only return nodes connected from 2 with edge type 2 - assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2), 2)], [4]); - // should return all nodes connected from 2 with edge type of 1 - assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2))], [3]); - // should return all nodes connected from 2 - assert.deepEqual( - // $FlowFixMe - [...graph.getNodesConnectedFrom(toNodeId(2), ALL_EDGE_TYPES)], - [5, 4, 3], - ); - }); - - it('getNodesConnectedFrom returns correct node ids with multiple edge types', () => { - let graph = new EfficientGraph(); - graph.addEdge(toNodeId(2), toNodeId(3), 2); - graph.addEdge(toNodeId(2), toNodeId(4), 3); - graph.addEdge(toNodeId(2), toNodeId(5), 4); - - assert.deepEqual([...graph.getNodesConnectedFrom(toNodeId(2), [3])], [4]); - assert.deepEqual( - [...graph.getNodesConnectedFrom(toNodeId(2), [2, 3])], - [4, 3], - ); - assert.deepEqual( - [...graph.getNodesConnectedFrom(toNodeId(2), [2, 3, 4])], - [5, 4, 3], - ); + let id = graph.addNode(); + assert.equal(graph.numNodes, 1); + assert.ok(graph.removeNode(id)); + assert.equal(graph.numNodes, 0); }); - it('getNodesConnectedTo returns correct node ids', () => { + it('removeNode should not remove a node that is not in the graph', () => { let graph = new EfficientGraph(); - graph.addEdge(toNodeId(1), toNodeId(4), 6); - graph.addEdge(toNodeId(2), toNodeId(3), 2); - graph.addEdge(toNodeId(2), toNodeId(3), 3); - graph.addEdge(toNodeId(2), toNodeId(4)); - graph.addEdge(toNodeId(3), toNodeId(4), 2); - - // should only return nodes connected to 4 with edge type 2 - assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4), 2)], [3]); - // should return all nodes connected to 4 with edge type of 1 - assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(4))], [2]); - // should return all nodes connected to 4 - assert.deepEqual( - // $FlowFixMe - [...graph.getNodesConnectedTo(toNodeId(4), ALL_EDGE_TYPES)], - [3, 2, 1], - ); + graph.addNode(); + assert.equal(graph.numNodes, 1); + assert.equal(graph.removeNode(toNodeId(-1)), false); + assert.equal(graph.numNodes, 1); }); - it('getNodesConnectedTo returns correct node ids with multiple edge types', () => { + it('removeNode should error when a node still has edges in the graph', () => { let graph = new EfficientGraph(); - assert(graph.addEdge(toNodeId(1), toNodeId(5), 2)); - assert(graph.addEdge(toNodeId(2), toNodeId(5), 3)); - assert(graph.addEdge(toNodeId(3), toNodeId(5), 4)); - - assert.deepEqual([...graph.getNodesConnectedTo(toNodeId(5), [3])], [2]); - assert.deepEqual( - [...graph.getNodesConnectedTo(toNodeId(5), [2, 3])], - [2, 1], - ); - assert.deepEqual( - [...graph.getNodesConnectedTo(toNodeId(5), [2, 3, 4])], - [3, 2, 1], - ); + let a = graph.addNode(); + let b = graph.addNode(); + graph.addEdge(a, b); + assert.throws(() => graph.removeNode(a)); + assert.throws(() => graph.removeNode(b)); }); - // it('isOrphanedNode should return true or false if the node is orphaned or not', () => { - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // graph.addEdge(nodeA, nodeB); - // graph.addEdge(nodeA, nodeC, 1); - // assert(graph._isOrphanedNode(nodeA)); - // assert(!graph._isOrphanedNode(nodeB)); - // assert(!graph._isOrphanedNode(nodeC)); - // }); - - // it('removeEdge should prune the graph at that edge', () => { - // // a - // // / \ - // // b - d - // // / - // // c - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - // graph.addEdge(nodeA, nodeB); - // graph.addEdge(nodeA, nodeD); - // graph.addEdge(nodeB, nodeC); - // graph.addEdge(nodeB, nodeD); - - // graph.removeEdge(nodeA, nodeB); - // assert(graph.nodes.has(nodeA)); - // assert(graph.nodes.has(nodeD)); - // assert(!graph.nodes.has(nodeB)); - // assert(!graph.nodes.has(nodeC)); - // assert.deepEqual(graph.getAllEdges(), [{from: nodeA, to: nodeD, type: 0}]); - // }); - - // it('removing a node recursively deletes orphaned nodes', () => { - // // before: - // // a - // // / \ - // // b c - // // / \ \ - // // d e f - // // / - // // g - // // - - // // after: - // // a - // // \ - // // c - // // \ - // // f - - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - // let nodeE = graph.addNode({id: 'e', type: 'mynode', value: 'e'}); - // let nodeF = graph.addNode({id: 'f', type: 'mynode', value: 'f'}); - // let nodeG = graph.addNode({id: 'g', type: 'mynode', value: 'g'}); - - // graph.addEdge(nodeA, nodeB); - // graph.addEdge(nodeA, nodeC); - // graph.addEdge(nodeB, nodeD); - // graph.addEdge(nodeB, nodeE); - // graph.addEdge(nodeC, nodeF); - // graph.addEdge(nodeD, nodeG); - - // graph.removeNode(nodeB); - - // assert.deepEqual([...graph.nodes.keys()], [nodeA, nodeC, nodeF]); - // assert.deepEqual(graph.getAllEdges(), [ - // {from: nodeA, to: nodeC, type: 0}, - // {from: nodeC, to: nodeF, type: 0}, - // ]); - // }); - - // it('removing a node recursively deletes orphaned nodes if there is no path to the root', () => { - // // before: - // // a - // // / \ - // // b c - // // / \ \ - // // |-d e f - // // |/ - // // g - // // - - // // after: - // // a - // // \ - // // c - // // \ - // // f - - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - // let nodeE = graph.addNode({id: 'e', type: 'mynode', value: 'e'}); - // let nodeF = graph.addNode({id: 'f', type: 'mynode', value: 'f'}); - // let nodeG = graph.addNode({id: 'g', type: 'mynode', value: 'g'}); - // graph.rootNodeId = nodeA; - - // graph.addEdge(nodeA, nodeB); - // graph.addEdge(nodeA, nodeC); - // graph.addEdge(nodeB, nodeD); - // graph.addEdge(nodeG, nodeD); - // graph.addEdge(nodeB, nodeE); - // graph.addEdge(nodeC, nodeF); - // graph.addEdge(nodeD, nodeG); - - // graph.removeNode(nodeB); - - // assert.deepEqual([...graph.nodes.keys()], [nodeA, nodeC, nodeF]); - // assert.deepEqual(graph.getAllEdges(), [ - // {from: nodeA, to: nodeC, type: 0}, - // {from: nodeC, to: nodeF, type: 0}, - // ]); - // }); - - // it('removing an edge to a node that cycles does not remove it if there is a path to the root', () => { - // // a - // // | - // // b <---- - // // / \ | - // // c d | - // // \ / | - // // e ----- - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - // let nodeE = graph.addNode({id: 'e', type: 'mynode', value: 'e'}); - // graph.rootNodeId = nodeA; - - // graph.addEdge(nodeA, nodeB); - // graph.addEdge(nodeB, nodeC); - // graph.addEdge(nodeB, nodeD); - // graph.addEdge(nodeC, nodeE); - // graph.addEdge(nodeD, nodeE); - // graph.addEdge(nodeE, nodeB); - - // const getNodeIds = () => [...graph.nodes.keys()]; - // let nodesBefore = getNodeIds(); - - // graph.removeEdge(nodeC, nodeE); - - // assert.deepEqual(nodesBefore, getNodeIds()); - // assert.deepEqual(graph.getAllEdges(), [ - // {from: nodeA, to: nodeB, type: 0}, - // {from: nodeB, to: nodeC, type: 0}, - // {from: nodeB, to: nodeD, type: 0}, - // {from: nodeD, to: nodeE, type: 0}, - // {from: nodeE, to: nodeB, type: 0}, - // ]); - // }); - - // it('removing a node with only one inbound edge does not cause it to be removed as an orphan', () => { - // let graph = new EfficientGraph(); - - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // graph.rootNodeId = nodeA; - - // graph.addEdge(nodeA, nodeB); - - // let spy = sinon.spy(graph, 'removeNode'); - // try { - // graph.removeNode(nodeB); - - // assert(spy.calledOnceWithExactly(nodeB)); - // } finally { - // spy.restore(); - // } - // }); - - // it("replaceNodeIdsConnectedTo should update a node's downstream nodes", () => { - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // graph.addEdge(nodeA, nodeB); - // graph.addEdge(nodeA, nodeC); - - // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - // graph.replaceNodeIdsConnectedTo(nodeA, [nodeB, nodeD]); - - // assert(graph.hasNode(nodeA)); - // assert(graph.hasNode(nodeB)); - // assert(!graph.hasNode(nodeC)); - // assert(graph.hasNode(nodeD)); - // assert.deepEqual(graph.getAllEdges(), [ - // {from: nodeA, to: nodeB, type: 0}, - // {from: nodeA, to: nodeD, type: 0}, - // ]); - // }); - - // it('traverses along edge types if a filter is given', () => { - // let graph = new EfficientGraph(); - // let nodeA = graph.addNode({id: 'a', type: 'mynode', value: 'a'}); - // let nodeB = graph.addNode({id: 'b', type: 'mynode', value: 'b'}); - // let nodeC = graph.addNode({id: 'c', type: 'mynode', value: 'c'}); - // let nodeD = graph.addNode({id: 'd', type: 'mynode', value: 'd'}); - - // graph.addEdge(nodeA, nodeB, 1); - // graph.addEdge(nodeA, nodeD); - // graph.addEdge(nodeB, nodeC); - // graph.addEdge(nodeB, nodeD, 1); - - // graph.rootNodeId = nodeA; - - // let visited = []; - // graph.traverse( - // nodeId => { - // visited.push(nodeId); - // }, - // null, // use root as startNode - // 1, - // ); - - // assert.deepEqual(visited, [nodeA, nodeB, nodeD]); - // }); }); From f09fb4cdf2fc416fa5830b858b15cc28a5dc46b9 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 26 May 2021 15:50:08 -0400 Subject: [PATCH 037/117] Add removeNode method --- packages/core/core/src/EfficientGraph.js | 15 +++++++++++++++ 1 file changed, 15 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 5903785a75a..1d94d18b557 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -285,6 +285,21 @@ export default class EfficientGraph { return toNodeId(id); } + removeNode(node: NodeId): boolean { + if ( + !this.getNodesConnectedFrom(node).next().done || + !this.getNodesConnectedTo(node).next().done + ) { + throw new Error(`Cannot remove node ${String(node)}, it has edges!`); + } + let index = fromNodeId(node); + if (index >= 0 && this.numNodes > index) { + this.numNodes--; + return true; + } + return false; + } + /** * Adds an edge to the graph. * From 2e7306a0bcedc17ae07414374649413893c1e909 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 3 Jun 2021 11:51:08 -0400 Subject: [PATCH 038/117] Remove some old comments --- packages/core/core/src/EfficientGraph.js | 27 ------------------------ 1 file changed, 27 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 1d94d18b557..8467972c2e4 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -575,23 +575,6 @@ export default class EfficientGraph { return new Set(this.getNodesConnectedFrom(from, type)); } - /** - * - */ - // getEdgesByType(from: NodeId): $ReadOnlyMap> { - // let typeMap = new Map(); - // for ( - // let i = this.nodes[indexOfNode(from) + FIRST_OUT]; - // i; - // i = this.edges[indexOfEdge(i) + NEXT_OUT] - // ) { - // let type = this.edges[indexOfEdge(i) + TYPE]; - // let nodeSet = typeMap.get(type) || new Set(); - // nodeSet.add(toNodeId(i)); - // typeMap.set(type, nodeSet); - // } - // return typeMap; - // } /** * Get the list of nodes connected from this node. */ @@ -682,16 +665,6 @@ export default class EfficientGraph { return toDot(this); } } - - // Need to be updated to support `type` - // TODO: hasEdge(from: NodeId, to: NodeId, type?: TEdgeType | NullEdgeType = 0): boolean { - // TODO: getNodesConnectedFrom() - // TODO: getNodesConnectedTo() - - // AdjacencyList - // removeEdge(from: NodeId, to: NodeId, type: TEdgeType): void { - // getEdges(from: NodeId, type: TEdgeType): $ReadOnlySet { - // getEdgesByType(from: NodeId): $ReadOnlyMap> { } let nodeColor = {color: 'black', fontcolor: 'black'}; From a4d71676c47c6d99e73e5e63d2b13bf330b710df Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 3 Jun 2021 11:57:21 -0400 Subject: [PATCH 039/117] Fix resize loop when initial graph size is very small We resize the graph edges when the available capacity is <30%, but we were indexing a new edge _before_ expanding capacity, which was causing a loop when the the total capacity was too small (i.e., `4`) to trigger the 30% threshold in a previous add _and_ there was no available capcity for the next add. --- packages/core/core/src/EfficientGraph.js | 16 ++++++++-------- 1 file changed, 8 insertions(+), 8 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 8467972c2e4..b6269a3e05a 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -311,14 +311,6 @@ export default class EfficientGraph { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - // We use the hash of the edge as the index for the edge. - let index = this.indexFor(from, to, type); - - if (index === -1) { - // The edge is already in the graph; do nothing. - return false; - } - // The percentage of utilization of the total capacity of `edges`. let load = this.numEdges / (this.edges.length / EDGE_SIZE); // If we're in danger of overflowing the `edges` array, resize it. @@ -330,6 +322,14 @@ export default class EfficientGraph { this.resizeEdges((this.edges.length / EDGE_SIZE) * 2); } + // We use the hash of the edge as the index for the edge. + let index = this.indexFor(from, to, type); + + if (index === -1) { + // The edge is already in the graph; do nothing. + return false; + } + this.numEdges++; // Each edge takes up `EDGE_SIZE` space in the `edges` array. From 1b4c74db692a3ba68c68b812778a6b04c060b6ac Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 3 Jun 2021 12:08:48 -0400 Subject: [PATCH 040/117] Use `indexOf` when checking if graph as an edge --- packages/core/core/src/EfficientGraph.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index b6269a3e05a..f0b11d04bbf 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -472,7 +472,7 @@ export default class EfficientGraph { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - return this.indexFor(from, to, type) === -1; + return this.indexOf(from, to, type) !== -1; } /** From 426cb6b27a203e578ecdfd645976358559390e81 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 3 Jun 2021 12:10:45 -0400 Subject: [PATCH 041/117] Fix resizeEdges not updating incoming and outgoing references --- packages/core/core/src/EfficientGraph.js | 63 +++++++++++------------- 1 file changed, 28 insertions(+), 35 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index f0b11d04bbf..8f59adf2b02 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -179,34 +179,32 @@ export default class EfficientGraph { this.edges = new Uint32Array(size * EDGE_SIZE); // For each node in the graph, copy the existing edges into the new array. - for ( + for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { /** The next node with edges to copy. */ - let from = 0; - from < this.nodes.length; - from += NODE_SIZE - ) { + let from = nodeAt(i); /** The last edge copied. */ let lastIndex = null; for ( - /** The next edge to be copied. */ - let hash = this.nodes[from + FIRST_OUT]; + /** The next outgoing edge to be copied. */ + let hash = this.nodes[i + FIRST_OUT]; hash; hash = edges[hashToIndex(hash) + NEXT_OUT] ) { /** The node that the next outgoing edge connects to. */ - let to = edges[hashToIndex(hash) + TO]; + let to = toNodeId(edges[hashToIndex(hash) + TO]); let type = (edges[hashToIndex(hash) + TYPE]: any); /** The index at which to copy this edge. */ - let index = this.indexFor(toNodeId(from), toNodeId(to), type); + let index = this.indexFor(from, to, type); if (index === -1) { // Edge already copied? - continue; + index = this.indexOf(from, to, type); + } else { + // Copy the details of the edge into the new edge list. + this.edges[index + TYPE] = type; + this.edges[index + FROM] = fromNodeId(from); + this.edges[index + TO] = fromNodeId(to); } - // Copy the details of the edge into the new edge list. - this.edges[index + TYPE] = type; - this.edges[index + FROM] = from; - this.edges[index + TO] = to; if (lastIndex != null) { // If this edge is not the first outgoing edge from the current node, // link this edge to the last outgoing edge copied. @@ -214,7 +212,7 @@ export default class EfficientGraph { } else { // If this edge is the first outgoing edge from the current node, // link this edge to the current node. - this.nodes[from + FIRST_OUT] = indexToHash(index); + this.nodes[i + FIRST_OUT] = indexToHash(index); } // Keep track of the last outgoing edge copied. lastIndex = index; @@ -222,34 +220,29 @@ export default class EfficientGraph { // Reset lastHash for use while copying incoming edges. lastIndex = undefined; + + // Now we're copying incoming edges, so `from` becomes `to`. + let to = from; for ( /** The next incoming edge to be copied. */ - let hash = this.nodes[from + FIRST_IN]; + let hash = this.nodes[i + FIRST_IN]; hash; hash = edges[hashToIndex(hash) + NEXT_IN] ) { /** The node that the next incoming edge connects from. */ - let from = edges[hashToIndex(hash) + FROM]; + let from = toNodeId(edges[hashToIndex(hash) + FROM]); let type = (edges[hashToIndex(hash) + TYPE]: any); /** The index at which to copy this edge. */ - let index = this.hash(toNodeId(from), toNodeId(from), type); - // If there is a hash collision, - // scan the edges array for a space to copy the edge. - while (this.edges[index + TYPE]) { - if ( - this.edges[index + FROM] === from && - this.edges[index + TO] === from - ) { - break; - } else { - index = (index + EDGE_SIZE) % this.edges.length; - } + let index = this.indexFor(from, to, type); + if (index === -1) { + // Edge already copied? + index = this.indexOf(from, to, type); + } else { + // Copy the details of the edge into the new edge list. + this.edges[index + TYPE] = type; + this.edges[index + FROM] = fromNodeId(from); + this.edges[index + TO] = fromNodeId(to); } - - // Copy the details of the edge into the new edge list. - this.edges[index + TYPE] = type; - this.edges[index + FROM] = from; - this.edges[index + TO] = from; if (lastIndex != null) { // If this edge is not the first incoming edge to the current node, // link this edge to the last incoming edge copied. @@ -257,7 +250,7 @@ export default class EfficientGraph { } else { // If this edge is the first incoming edge from the current node, // link this edge to the current node. - this.nodes[from + FIRST_IN] = indexToHash(index); + this.nodes[i + FIRST_IN] = indexToHash(index); } // Keep track of the last edge copied. From 4941e0af764ea0ee78d06da0a7635dc16cb55b55 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 3 Jun 2021 12:39:10 -0400 Subject: [PATCH 042/117] Add simple clustering and uniformity stats This could help us optimize our hash function. --- packages/core/core/src/EfficientGraph.js | 73 +++++++++++++++++++++++- 1 file changed, 71 insertions(+), 2 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 8f59adf2b02..4d3d141a5a6 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -105,9 +105,13 @@ const nodeAt = (index: number): NodeId => const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; export default class EfficientGraph { - /** An array of nodes, which each node occupying `NODE_SIZE` adjacent indices. */ + /** The number of nodes that can fit in the nodes array. */ + nodeCapacity: number; + /** The number of edges that can fit in the edges array. */ + edgeCapacity: number; + /** An array of nodes, with each node occupying `NODE_SIZE` adjacent indices. */ nodes: Uint32Array; - /** An array of edges, which each edge occupying `EDGE_SIZE` adjacent indices. */ + /** An array of edges, with each edge occupying `EDGE_SIZE` adjacent indices. */ edges: Uint32Array; /** The count of the number of nodes in the graph. */ numNodes: number; @@ -115,6 +119,8 @@ export default class EfficientGraph { numEdges: number; constructor(nodeCapacity: number = 128, edgeCapacity: number = 256) { + this.nodeCapacity = nodeCapacity; + this.edgeCapacity = edgeCapacity; // Allocate two TypedArrays, one for nodes, and one for edges. // These are created with reasonable initial sizes, // but will be resized as necessary. @@ -152,6 +158,67 @@ export default class EfficientGraph { }; } + get stats(): {| + /** The number of nodes in the graph. */ + nodes: number, + /** The number of edges in the graph. */ + edges: number, + /** The number of edge hash collisions. */ + collisions: number, + /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ + uniformity: number, + |} { + let {numNodes, nodes, numEdges, edges, edgeCapacity} = this; + let buckets = new Map(); + for (let i = 0; i < nodes.length; i += NODE_SIZE) { + let from = nodeAt(i); + for ( + let hash = nodes[i + FIRST_OUT]; + hash; + hash = edges[hashToIndex(hash) + NEXT_OUT] + ) { + let to = toNodeId(edges[hashToIndex(hash) + TO]); + let type = (edges[hashToIndex(hash) + TYPE]: any); + let bucketHash = this.hash(from, to, type); + let bucket = buckets.get(bucketHash) || new Set(); + bucket.add(`${fromNodeId(from)}, ${fromNodeId(to)}, ${type}`); + buckets.set(bucketHash, bucket); + } + let to = from; + for ( + let hash = nodes[i + FIRST_IN]; + hash; + hash = edges[hashToIndex(hash) + NEXT_IN] + ) { + let from = toNodeId(edges[hashToIndex(hash) + FROM]); + let type = (edges[hashToIndex(hash) + TYPE]: any); + let bucketHash = this.hash(from, to, type); + let bucket = buckets.get(bucketHash) || new Set(); + bucket.add(`${fromNodeId(from)}, ${fromNodeId(to)}, ${type}`); + buckets.set(bucketHash, bucket); + } + } + + let collisions = 0; + let distribution = 0; + + for (let bucket of buckets.values()) { + collisions += bucket.size > 1 ? 1 : 0; + distribution += (bucket.size * (bucket.size + 1)) / 2; + } + + let uniformity = + distribution / + ((numEdges / (2 * edgeCapacity)) * (numEdges + 2 * edgeCapacity - 1)); + + return { + nodes: numNodes, + edges: numEdges, + collisions, + uniformity, + }; + } + /** * Resize the internal nodes array. * @@ -164,6 +231,7 @@ export default class EfficientGraph { this.nodes = new Uint32Array(size * NODE_SIZE); // Copy the existing nodes into the new array. this.nodes.set(nodes); + this.nodeCapacity = size; } /** @@ -177,6 +245,7 @@ export default class EfficientGraph { let edges = this.edges; // Allocate the required space for an `edges` array of the given `size`. this.edges = new Uint32Array(size * EDGE_SIZE); + this.edgeCapacity = size; // For each node in the graph, copy the existing edges into the new array. for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { From bc718592257fcff5e0c1f17e687d67d40f172119 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 4 Jun 2021 12:32:37 -0400 Subject: [PATCH 043/117] Hash based on order of arguments and modulo EDGE_SIZE --- packages/core/core/src/EfficientGraph.js | 26 ++++++++++++++---------- 1 file changed, 15 insertions(+), 11 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 4d3d141a5a6..5d242c754fb 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -704,17 +704,21 @@ export default class EfficientGraph { * */ hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { - return ( - 1 + // 1 is added to every hash to guarantee a truthy result. - Math.abs( - // TODO: Look more into how this hash function works - ((type + 555555) * - (fromNodeId(from) + 111111) * - (fromNodeId(to) - 333333) * - EDGE_SIZE) % - this.edges.length, - ) - ); + // A crude multiplicative hash, in 4 steps: + // 1. Serialize the args into an integer that reflects the argument order, + // using the node capacity to roughly shift and then add each argument, + // .e.g., `hash(1, 2, 4) => 1 * 128 + 2 * 10 + 4 => 152`. + // Note: we assume that `type` will be a very small integer. + let hash = + fromNodeId(from) * Math.max(this.nodeCapacity, 100) + + fromNodeId(to) * 10 + + type; + // 2. Map the hash to a value modulo the edge capacity. + hash %= this.edgeCapacity; + // 3. Multiply by EDGE_SIZE to select a valid index. + hash *= EDGE_SIZE; + // 4. Add 1 to guarantee a truthy result. + return hash + 1; } toDot(type: 'graph' | 'edges' | 'nodes' = 'graph'): string { From 8ff880f351822f98a71c1242751086f3af8d6a15 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 4 Jun 2021 12:53:45 -0400 Subject: [PATCH 044/117] Deserialize EfficientGraph from provided serialized data --- packages/core/core/src/EfficientGraph.js | 6 +++--- packages/core/core/src/Graph.js | 6 +++--- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 5d242c754fb..0a5e8b1d9cb 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -64,7 +64,7 @@ const FIRST_OUT: 1 = 1; export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; -export type SerializedEfficientGraph = {| +export type SerializedEfficientGraph = {| nodes: Uint32Array, edges: Uint32Array, numNodes: number, @@ -136,7 +136,7 @@ export default class EfficientGraph { * The options should match the format returned by the `serialize` method. */ static deserialize( - opts: SerializedEfficientGraph, + opts: SerializedEfficientGraph, ): EfficientGraph { let res = Object.create(EfficientGraph.prototype); res.nodes = opts.nodes; @@ -149,7 +149,7 @@ export default class EfficientGraph { /** * Returns a JSON-serializable object of the nodes and edges in the graph. */ - serialize(): SerializedEfficientGraph { + serialize(): SerializedEfficientGraph { return { nodes: this.nodes, edges: this.edges, diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 794544d61f3..1eafb018d6e 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -11,14 +11,14 @@ import nullthrows from 'nullthrows'; export type NullEdgeType = 1; export type GraphOpts = {| nodes?: Map, - adjacencyList?: EfficientGraph, + adjacencyList?: SerializedEfficientGraph, rootNodeId?: ?NodeId, nextNodeId?: ?number, |}; export type SerializedGraph = {| nodes: Map, - adjacencyList: SerializedEfficientGraph, + adjacencyList: SerializedEfficientGraph, rootNodeId: ?NodeId, nextNodeId: number, |}; @@ -39,7 +39,7 @@ export default class Graph { let adjacencyList = opts?.adjacencyList; this.adjacencyList = adjacencyList - ? adjacencyList + ? EfficientGraph.deserialize(adjacencyList) : new EfficientGraph(); } From b8a67c81069d3e0b3fa8fdb1bbecc08ba15c7cd4 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 4 Jun 2021 18:10:25 -0400 Subject: [PATCH 045/117] Rehash edges when node capacity changes --- packages/core/core/src/EfficientGraph.js | 11 +++++++++++ 1 file changed, 11 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 0a5e8b1d9cb..27031af3622 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -232,6 +232,11 @@ export default class EfficientGraph { // Copy the existing nodes into the new array. this.nodes.set(nodes); this.nodeCapacity = size; + // We have to rehash the edges when the node capacity changes + // since they used the previous node capacity as a multiplier. + let edges = this.edges; + this.edges = new Uint32Array(this.edgeCapacity * EDGE_SIZE); + this.copyEdges(edges); } /** @@ -246,7 +251,13 @@ export default class EfficientGraph { // Allocate the required space for an `edges` array of the given `size`. this.edges = new Uint32Array(size * EDGE_SIZE); this.edgeCapacity = size; + this.copyEdges(edges); + } + /** + * Copy the edges in the given array into the internal edges array. + */ + copyEdges(edges: Uint32Array) { // For each node in the graph, copy the existing edges into the new array. for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { /** The next node with edges to copy. */ From cbd13c91c420211d4285cd766563f9529ddb56f6 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 8 Jun 2021 12:47:30 -0400 Subject: [PATCH 046/117] Serialize node and edge capacities Since these values are used in hashing, we serialize them along with the edges and nodes to ensure that the hashes don't change when a new graph is deserialized from a previous graph. --- packages/core/core/src/EfficientGraph.js | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 27031af3622..a7f22b0cdd6 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -69,6 +69,8 @@ export type SerializedEfficientGraph = {| edges: Uint32Array, numNodes: number, numEdges: number, + edgeCapacity: number, + nodeCapacity: number, |}; type EdgeAttr = @@ -143,6 +145,8 @@ export default class EfficientGraph { res.edges = opts.edges; res.numNodes = opts.numNodes; res.numEdges = opts.numEdges; + res.nodeCapacity = opts.nodeCapacity; + res.edgeCapacity = opts.edgeCapacity; return res; } @@ -155,6 +159,8 @@ export default class EfficientGraph { edges: this.edges, numNodes: this.numNodes, numEdges: this.numEdges, + edgeCapacity: this.edgeCapacity, + nodeCapacity: this.nodeCapacity, }; } From 436f61fefc7727316340296039642cd61c69a1f9 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 8 Jun 2021 18:13:39 -0400 Subject: [PATCH 047/117] Fix edge iterations when edge index is 0 --- packages/core/core/src/EfficientGraph.js | 28 ++++++++++++++---------- 1 file changed, 16 insertions(+), 12 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index a7f22b0cdd6..459b26f4964 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -614,10 +614,11 @@ export default class EfficientGraph { to: NodeId, ): Iterable<{|type: TEdgeType, from: NodeId|}> { for ( - let i = hashToIndex(this.nodes[indexOfNode(to) + FIRST_IN]); - i; - i = hashToIndex(this.edges[i + NEXT_IN]) + let hash = this.nodes[indexOfNode(to) + FIRST_IN]; + hash; + hash = this.edges[hashToIndex(hash) + NEXT_IN] ) { + let i = hashToIndex(hash); yield { type: (this.edges[i + TYPE]: any), from: toNodeId(this.edges[i + FROM]), @@ -629,10 +630,11 @@ export default class EfficientGraph { from: NodeId, ): Iterable<{|type: TEdgeType, to: NodeId|}> { for ( - let i = hashToIndex(this.nodes[indexOfNode(from) + FIRST_OUT]); - i; - i = hashToIndex(this.edges[i + NEXT_OUT]) + let hash = this.nodes[indexOfNode(from) + FIRST_OUT]; + hash; + hash = this.edges[hashToIndex(hash) + NEXT_OUT] ) { + let i = hashToIndex(hash); yield { type: (this.edges[i + TYPE]: any), to: toNodeId(this.edges[i + TO]), @@ -666,10 +668,11 @@ export default class EfficientGraph { | Array = 1, ): Iterator { for ( - let i = hashToIndex(this.nodes[indexOfNode(from) + FIRST_OUT]); - i; - i = hashToIndex(this.edges[i + NEXT_OUT]) + let hash = this.nodes[indexOfNode(from) + FIRST_OUT]; + hash; + hash = this.edges[hashToIndex(hash) + NEXT_OUT] ) { + let i = hashToIndex(hash); if (Array.isArray(type)) { for (let typeNum of type) { if (typeNum === ALL_EDGE_TYPES || this.edges[i + TYPE] === typeNum) { @@ -696,10 +699,11 @@ export default class EfficientGraph { | Array = 1, ): Iterator { for ( - let i = hashToIndex(this.nodes[indexOfNode(to) + FIRST_IN]); - i; - i = hashToIndex(this.edges[i + NEXT_IN]) + let hash = this.nodes[indexOfNode(to) + FIRST_IN]; + hash; + hash = this.edges[hashToIndex(hash) + NEXT_IN] ) { + let i = hashToIndex(hash); if (Array.isArray(type)) { for (let typeNum of type) { if (typeNum === ALL_EDGE_TYPES || this.edges[i + TYPE] === typeNum) { From 66f4f7569b91af08bf9e4b9dd348d10355bc5833 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 9 Jun 2021 10:05:52 -0400 Subject: [PATCH 048/117] Fix typos and make clarifications --- packages/core/core/src/EfficientGraph.js | 20 ++++++++++---------- 1 file changed, 10 insertions(+), 10 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 459b26f4964..57e034184ce 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -27,15 +27,15 @@ export const NODE_SIZE = 2; * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. * The third 4 bytes are the id of the 'to' node. - * The fourth 4 bytes are the hash of the 'to' node's incoming edge. - * The fifth 4 bytes are the hash of the 'from' node's outgoing edge. + * The fourth 4 bytes are the hash of the 'to' node's next incoming edge. + * The fifth 4 bytes are the hash of the 'from' node's next outgoing edge. * * struct Edge { * int type; * int from; * int to; * int nextIn; - * int nextOut + * int nextOut; * } * * ┌────────────────────────────────────────────────────────────────┐ @@ -46,20 +46,20 @@ export const NODE_SIZE = 2; */ export const EDGE_SIZE = 5; -/** The offset to `EDGE_SIZE` at which the edge type is stored. */ +/** The offset from an edge index at which the edge type is stored. */ const TYPE: 0 = 0; -/** The offset to `EDGE_SIZE` at which the 'from' node id is stored. */ +/** The offset from an edge index at which the 'from' node id is stored. */ const FROM: 1 = 1; -/** The offset to `EDGE_SIZE` at which the 'to' node id is stored. */ +/** The offset from an edge index at which the 'to' node id is stored. */ const TO: 2 = 2; -/** The offset to `EDGE_SIZE` at which the hash of the 'to' node's incoming edge is stored. */ +/** The offset from an edge index at which the hash of the 'to' node's next incoming edge is stored. */ const NEXT_IN: 3 = 3; -/** The offset to `EDGE_SIZE` at which the hash of the 'from' node's incoming edge is stored. */ +/** The offset from an edge index at which the hash of the 'from' node's next incoming edge is stored. */ const NEXT_OUT: 4 = 4; -/** The offset to `NODE_SIZE` at which the hash of the first incoming edge is stored. */ +/** The offset from a node index at which the hash of the first incoming edge is stored. */ const FIRST_IN: 0 = 0; -/** The offset to `NODE_SIZE` at which the hash of the first outgoing edge is stored. */ +/** The offset from a node index at which the hash of the first outgoing edge is stored. */ const FIRST_OUT: 1 = 1; export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; From 265928c09b2d0fcf45851ff2bc1e620d78fed878 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 9 Jun 2021 12:50:36 -0400 Subject: [PATCH 049/117] Fix lookups after edges have been removed This addes a DELETED sentinel that preserves contiguity in the hash table so that scanning forward to find edges that match a hash continues to work after other edges with a matching hash have been removed. --- packages/core/core/src/EfficientGraph.js | 44 ++++++++++++++++++------ 1 file changed, 34 insertions(+), 10 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 57e034184ce..a6c6005a417 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -62,6 +62,23 @@ const FIRST_IN: 0 = 0; /** The offset from a node index at which the hash of the first outgoing edge is stored. */ const FIRST_OUT: 1 = 1; +/** + * A sentinel that indicates that an edge was deleted. + * + * Because our (open-addressed) table resolves hash collisions + * by scanning forward for the next open slot when inserting, + * and stops scanning at the next open slot when fetching, + * we use this sentinel (instead of `0`) to maintain contiguity. + */ +const DELETED: 0xffffffff = 0xffffffff; + +const isDeleted = (type: number): boolean => type === DELETED; + +const deletedThrows = (type: number): number => { + if (isDeleted(type)) throw new Error('Edge was deleted!'); + return type; +}; + export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; export type SerializedEfficientGraph = {| @@ -499,6 +516,8 @@ export default class EfficientGraph { // We do this instead of simply using the `index` because it is possible // for multiple edges to have the same hash. while (this.edges[index + TYPE]) { + // If the edge at this index was deleted, we can reuse the slot. + if (isDeleted(this.edges[index + TYPE])) break; if ( this.edges[index + FROM] === from && this.edges[index + TO] === to && @@ -535,7 +554,7 @@ export default class EfficientGraph { edgeObjs.push({ from: toNodeId(this.edges[edgeIndex + FROM]), to: toNodeId(this.edges[edgeIndex + TO]), - type: (this.edges[edgeIndex + TYPE]: any), + type: deletedThrows(this.edges[edgeIndex + TYPE]), }); nextEdge = this.edges[edgeIndex + NEXT_OUT]; } @@ -600,8 +619,11 @@ export default class EfficientGraph { } while (inIndex); } - // Free up this space in the edges list. - this.edges[index + TYPE] = 0; + // Mark this slot as DELETED. + // We do this so that clustered edges can still be found + // by scanning forward in the array from the first index for + // the cluster. + this.edges[index + TYPE] = DELETED; this.edges[index + FROM] = 0; this.edges[index + TO] = 0; this.edges[index + NEXT_IN] = 0; @@ -620,7 +642,7 @@ export default class EfficientGraph { ) { let i = hashToIndex(hash); yield { - type: (this.edges[i + TYPE]: any), + type: deletedThrows(this.edges[i + TYPE]), from: toNodeId(this.edges[i + FROM]), }; } @@ -636,7 +658,7 @@ export default class EfficientGraph { ) { let i = hashToIndex(hash); yield { - type: (this.edges[i + TYPE]: any), + type: deletedThrows(this.edges[i + TYPE]), to: toNodeId(this.edges[i + TO]), }; } @@ -673,14 +695,15 @@ export default class EfficientGraph { hash = this.edges[hashToIndex(hash) + NEXT_OUT] ) { let i = hashToIndex(hash); + let edgeType = deletedThrows(this.edges[i + TYPE]); if (Array.isArray(type)) { for (let typeNum of type) { - if (typeNum === ALL_EDGE_TYPES || this.edges[i + TYPE] === typeNum) { + if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { yield toNodeId(this.edges[i + TO]); } } } else { - if (type === ALL_EDGE_TYPES || this.edges[i + TYPE] === type) { + if (type === ALL_EDGE_TYPES || edgeType === type) { yield toNodeId(this.edges[i + TO]); } } @@ -704,14 +727,15 @@ export default class EfficientGraph { hash = this.edges[hashToIndex(hash) + NEXT_IN] ) { let i = hashToIndex(hash); + let edgeType = deletedThrows(this.edges[i + TYPE]); if (Array.isArray(type)) { for (let typeNum of type) { - if (typeNum === ALL_EDGE_TYPES || this.edges[i + TYPE] === typeNum) { + if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { yield toNodeId(this.edges[i + FROM]); } } } else { - if (type === ALL_EDGE_TYPES || this.edges[i + TYPE] === type) { + if (type === ALL_EDGE_TYPES || edgeType === type) { yield toNodeId(this.edges[i + FROM]); } } @@ -953,7 +977,7 @@ function edgesToDot( let lastOut = 0; for (let i = 0; i < data.edges.length; i += EDGE_SIZE) { let type = data.edges[i + TYPE]; - if (type) { + if (type && !isDeleted(type)) { let from = data.edges[i + FROM]; let to = data.edges[i + TO]; let nextIn = data.edges[i + NEXT_IN]; From d0aa2373155884ffdacf57f4737b71dd14b982c2 Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 14 Jun 2021 18:06:14 -0700 Subject: [PATCH 050/117] Fix incoming/outgoing edges in removeEdge --- packages/core/core/src/EfficientGraph.js | 2 ++ .../core/core/test/EfficientGraph.test.js | 23 +++++++++++++++++++ 2 files changed, 25 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index a6c6005a417..b9c6b8b7fb6 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -600,6 +600,7 @@ export default class EfficientGraph { this.edges[prevOut + NEXT_OUT] = nextOut; break; } + prevOut = outIndex; } while (outIndex); } @@ -616,6 +617,7 @@ export default class EfficientGraph { this.edges[prevIn + NEXT_IN] = nextIn; break; } + prevIn = inIndex; } while (inIndex); } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 03f23699328..5a31b99317f 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -57,4 +57,27 @@ describe('EfficientGraph', () => { assert.throws(() => graph.removeNode(a)); assert.throws(() => graph.removeNode(b)); }); + + it('removeEdge should remove an edge from the graph', () => { + let graph = new EfficientGraph(); + let node0 = graph.addNode(); + let node1 = graph.addNode(); + let node2 = graph.addNode(); + let node3 = graph.addNode(); + let node4 = graph.addNode(); + let node5 = graph.addNode(); + let node6 = graph.addNode(); + graph.addEdge(node0, node1); + graph.addEdge(node2, node1); + // this will get removed + graph.addEdge(node3, node1); + graph.addEdge(node4, node1); + graph.addEdge(node5, node1); + graph.addEdge(node6, node1); + + assert.equal([...graph.getNodesConnectedTo(node1)], [0, 2, 3, 4, 5, 6]); + + graph.removeEdge(node3, node1); + assert.equal([...graph.getNodesConnectedTo(node1)], [0, 2, 4, 5, 6]); + }); }); From bce2872caa33b421d45c7bc415e78751abceaf3f Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 14 Jun 2021 18:22:36 -0700 Subject: [PATCH 051/117] change assert.equal to assert.deepEqual --- packages/core/core/test/EfficientGraph.test.js | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 5a31b99317f..836f1935ccd 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -75,9 +75,9 @@ describe('EfficientGraph', () => { graph.addEdge(node5, node1); graph.addEdge(node6, node1); - assert.equal([...graph.getNodesConnectedTo(node1)], [0, 2, 3, 4, 5, 6]); + assert.deepEqual([...graph.getNodesConnectedTo(node1)], [0, 2, 3, 4, 5, 6]); graph.removeEdge(node3, node1); - assert.equal([...graph.getNodesConnectedTo(node1)], [0, 2, 4, 5, 6]); + assert.deepEqual([...graph.getNodesConnectedTo(node1)], [0, 2, 4, 5, 6]); }); }); From eed64ff6cbe22cb28952e391423e81e1ec57c3d9 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 9 Jun 2021 18:35:13 -0400 Subject: [PATCH 052/117] Add tests for addEdge, removeEdge --- packages/core/core/src/EfficientGraph.js | 5 + .../core/core/test/EfficientGraph.test.js | 130 ++++++++++++++++++ 2 files changed, 135 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index b9c6b8b7fb6..27ed4c40dc4 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -407,6 +407,11 @@ export default class EfficientGraph { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { + if (from < 0 || from >= this.numNodes) + throw new Error(`Unknown node ${from}`); + if (to < 0 || to >= this.numNodes) throw new Error(`Unknown node ${to}`); + if (type <= 0) throw new Error(`Unsupported edge type ${0}`); + // The percentage of utilization of the total capacity of `edges`. let load = this.numEdges / (this.edges.length / EDGE_SIZE); // If we're in danger of overflowing the `edges` array, resize it. diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 836f1935ccd..aaea78a45dd 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -80,4 +80,134 @@ describe('EfficientGraph', () => { graph.removeEdge(node3, node1); assert.deepEqual([...graph.getNodesConnectedTo(node1)], [0, 2, 4, 5, 6]); }); + + it('removeEdge should remove an edge of a specific type from the graph', () => { + let graph = new EfficientGraph(2, 5); + let a = graph.addNode(); + let b = graph.addNode(); + let c = graph.addNode(); + let d = graph.addNode(); + graph.addEdge(a, b); + graph.addEdge(a, b, 2); + graph.addEdge(a, b, 3); + graph.addEdge(a, c); + graph.addEdge(a, d, 3); + assert.equal(graph.numEdges, 5); + assert.ok(graph.hasEdge(a, b)); + assert.ok(graph.hasEdge(a, b, 2)); + assert.ok(graph.hasEdge(a, b, 3)); + assert.ok(graph.hasEdge(a, c)); + assert.ok(graph.hasEdge(a, d, 3)); + assert.deepEqual(graph.getAllEdges(), [ + {from: a, to: b, type: 1}, + {from: a, to: b, type: 2}, + {from: a, to: b, type: 3}, + {from: a, to: c, type: 1}, + {from: a, to: d, type: 3}, + ]); + + graph.removeEdge(a, b, 2); + assert.equal(graph.numEdges, 4); + assert.ok(graph.hasEdge(a, b)); + assert.equal(graph.hasEdge(a, b, 2), false); + assert.ok(graph.hasEdge(a, b, 3)); + assert.ok(graph.hasEdge(a, c)); + assert.ok(graph.hasEdge(a, d, 3)); + assert.deepEqual(graph.getAllEdges(), [ + {from: a, to: b, type: 1}, + {from: a, to: b, type: 3}, + {from: a, to: c, type: 1}, + {from: a, to: d, type: 3}, + ]); + }); + + it('addEdge should add an edge to the graph', () => { + let graph = new EfficientGraph(2, 1); + let a = graph.addNode(); + let b = graph.addNode(); + graph.addEdge(a, b); + assert.equal(graph.numNodes, 2); + assert.equal(graph.numEdges, 1); + assert.ok(graph.hasEdge(a, b)); + }); + + it('addEdge should add multiple edges from a node in order', () => { + let graph = new EfficientGraph(); + let a = graph.addNode(); + let b = graph.addNode(); + let c = graph.addNode(); + let d = graph.addNode(); + graph.addEdge(a, b); + graph.addEdge(a, d); + graph.addEdge(a, c); + assert.deepEqual([...graph.getNodesConnectedFrom(a)], [b, d, c]); + }); + + it('addEdge should add multiple edges to a node in order', () => { + let graph = new EfficientGraph(); + let a = graph.addNode(); + let b = graph.addNode(); + let c = graph.addNode(); + let d = graph.addNode(); + graph.addEdge(a, b); + graph.addEdge(d, b); + graph.addEdge(a, d); + graph.addEdge(c, b); + assert.deepEqual([...graph.getNodesConnectedTo(b)], [a, d, c]); + }); + + it('addEdge should add multiple edges of different types in order', () => { + let graph = new EfficientGraph(); + let a = graph.addNode(); + let b = graph.addNode(); + graph.addEdge(a, b); + graph.addEdge(a, b, 1); + graph.addEdge(a, b, 4); + graph.addEdge(a, b, 3); + assert.deepEqual([...graph.getNodesConnectedFrom(a)], [b]); + assert.deepEqual(graph.getAllEdges(), [ + {from: a, to: b, type: 1}, + {from: a, to: b, type: 4}, + {from: a, to: b, type: 3}, + ]); + }); + + it('addEdge should return false if an edge is already added', () => { + let graph = new EfficientGraph(); + let a = graph.addNode(); + let b = graph.addNode(); + assert.equal(graph.addEdge(a, b), true); + assert.equal(graph.addEdge(a, b), false); + }); + + it('addEdge should resize edges array when necessary', () => { + let graph = new EfficientGraph(2, 1); + let a = graph.addNode(); + let b = graph.addNode(); + let c = graph.addNode(); + assert.equal(graph.edges.length, EDGE_SIZE); + graph.addEdge(a, b); + assert.equal(graph.edges.length, EDGE_SIZE); + graph.addEdge(a, c); + assert.equal(graph.edges.length, EDGE_SIZE * 2); + }); + + it('addEdge should error when a node has not been added to the graph', () => { + let graph = new EfficientGraph(2, 1); + assert.throws(() => graph.addEdge(0, 1)); + graph.addNode(); + assert.throws(() => graph.addEdge(0, 1)); + graph.addNode(); + assert.doesNotThrow(() => graph.addEdge(0, 1)); + assert.throws(() => graph.addEdge(0, 2)); + }); + + it('addEdge should error when an unsupported edge type is provided', () => { + let graph = new EfficientGraph(2, 1); + let a = graph.addNode(); + let b = graph.addNode(); + assert.throws(() => graph.addEdge(a, b, 0)); + assert.throws(() => graph.addEdge(a, b, -1)); + assert.doesNotThrow(() => graph.addEdge(a, b, 1)); + }); }); From f61772ba75299bfeb08b481151fa54dc78337323 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 15 Jun 2021 11:04:13 -0400 Subject: [PATCH 053/117] Remove unused removeNode method Not only is it unused, but it might not make any sense for it to exist, given that adding a node is basically just incrementing a counter. --- packages/core/core/src/EfficientGraph.js | 15 ----------- .../core/core/test/EfficientGraph.test.js | 25 ------------------- 2 files changed, 40 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 27ed4c40dc4..2d78eae4af4 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -381,21 +381,6 @@ export default class EfficientGraph { return toNodeId(id); } - removeNode(node: NodeId): boolean { - if ( - !this.getNodesConnectedFrom(node).next().done || - !this.getNodesConnectedTo(node).next().done - ) { - throw new Error(`Cannot remove node ${String(node)}, it has edges!`); - } - let index = fromNodeId(node); - if (index >= 0 && this.numNodes > index) { - this.numNodes--; - return true; - } - return false; - } - /** * Adds an edge to the graph. * diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index aaea78a45dd..0041e6cebec 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -33,31 +33,6 @@ describe('EfficientGraph', () => { assert.deepEqual(graph.nodes, new Uint32Array(8 * NODE_SIZE)); }); - it('removeNode should remove a node from the graph', () => { - let graph = new EfficientGraph(); - let id = graph.addNode(); - assert.equal(graph.numNodes, 1); - assert.ok(graph.removeNode(id)); - assert.equal(graph.numNodes, 0); - }); - - it('removeNode should not remove a node that is not in the graph', () => { - let graph = new EfficientGraph(); - graph.addNode(); - assert.equal(graph.numNodes, 1); - assert.equal(graph.removeNode(toNodeId(-1)), false); - assert.equal(graph.numNodes, 1); - }); - - it('removeNode should error when a node still has edges in the graph', () => { - let graph = new EfficientGraph(); - let a = graph.addNode(); - let b = graph.addNode(); - graph.addEdge(a, b); - assert.throws(() => graph.removeNode(a)); - assert.throws(() => graph.removeNode(b)); - }); - it('removeEdge should remove an edge from the graph', () => { let graph = new EfficientGraph(); let node0 = graph.addNode(); From cf2ad62488a0c000303c099843bce3a05f675842 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 16 Jun 2021 12:25:06 -0400 Subject: [PATCH 054/117] Fix typo --- packages/core/core/src/EfficientGraph.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 2d78eae4af4..3f3e743822c 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -321,7 +321,7 @@ export default class EfficientGraph { lastIndex = index; } - // Reset lastHash for use while copying incoming edges. + // Reset lastIndex for use while copying incoming edges. lastIndex = undefined; // Now we're copying incoming edges, so `from` becomes `to`. From c20a93e0e7d551e10ab950e62a40f4d69d8650d4 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 16 Jun 2021 12:26:07 -0400 Subject: [PATCH 055/117] Use stored node/edge capacity instead of recomputing Also fix collision stat and add node/edge capacity and load stats --- packages/core/core/src/EfficientGraph.js | 42 ++++++++++++++---------- 1 file changed, 24 insertions(+), 18 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 3f3e743822c..eaba358b9db 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -184,14 +184,22 @@ export default class EfficientGraph { get stats(): {| /** The number of nodes in the graph. */ nodes: number, + /** The maximum number of nodes the graph can contain. */ + nodeCapacity: number, + /** The current load on the nodes array. */ + nodeLoad: number, /** The number of edges in the graph. */ edges: number, + /** The maximum number of edges the graph can contain. */ + edgeCapacity: number, + /** The current load on the edges array. */ + edgeLoad: number, /** The number of edge hash collisions. */ collisions: number, /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ uniformity: number, |} { - let {numNodes, nodes, numEdges, edges, edgeCapacity} = this; + let {numNodes, nodes, nodeCapacity, numEdges, edges, edgeCapacity} = this; let buckets = new Map(); for (let i = 0; i < nodes.length; i += NODE_SIZE) { let from = nodeAt(i); @@ -226,7 +234,7 @@ export default class EfficientGraph { let distribution = 0; for (let bucket of buckets.values()) { - collisions += bucket.size > 1 ? 1 : 0; + collisions += bucket.size - 1; distribution += (bucket.size * (bucket.size + 1)) / 2; } @@ -237,6 +245,10 @@ export default class EfficientGraph { return { nodes: numNodes, edges: numEdges, + nodeCapacity, + nodeLoad: numNodes / nodeCapacity, + edgeCapacity, + edgeLoad: numEdges / edgeCapacity, collisions, uniformity, }; @@ -255,11 +267,6 @@ export default class EfficientGraph { // Copy the existing nodes into the new array. this.nodes.set(nodes); this.nodeCapacity = size; - // We have to rehash the edges when the node capacity changes - // since they used the previous node capacity as a multiplier. - let edges = this.edges; - this.edges = new Uint32Array(this.edgeCapacity * EDGE_SIZE); - this.copyEdges(edges); } /** @@ -371,12 +378,12 @@ export default class EfficientGraph { let id = this.numNodes; this.numNodes++; // If we're in danger of overflowing the `nodes` array, resize it. - if (this.numNodes >= this.nodes.length / NODE_SIZE) { + if (this.numNodes >= this.nodeCapacity) { // The size of `nodes` doubles every time we reach the current capacity. // This means in the worst case, we will have `O(n - 1)` _extra_ // space allocated where `n` is a number nodes that is 1 more // than the previous capacity. - this.resizeNodes((this.nodes.length / NODE_SIZE) * 2); + this.resizeNodes(this.nodeCapacity * 2); } return toNodeId(id); } @@ -398,14 +405,14 @@ export default class EfficientGraph { if (type <= 0) throw new Error(`Unsupported edge type ${0}`); // The percentage of utilization of the total capacity of `edges`. - let load = this.numEdges / (this.edges.length / EDGE_SIZE); + let load = (this.numEdges + 1) / this.edgeCapacity; // If we're in danger of overflowing the `edges` array, resize it. if (load > 0.7) { // The size of `edges` doubles every time we reach the current capacity. // This means in the worst case, we will have `O(n - 1)` _extra_ // space allocated where `n` is a number edges that is 1 more // than the previous capacity. - this.resizeEdges((this.edges.length / EDGE_SIZE) * 2); + this.resizeEdges(this.edgeCapacity * 2); } // We use the hash of the edge as the index for the edge. @@ -743,13 +750,12 @@ export default class EfficientGraph { hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { // A crude multiplicative hash, in 4 steps: // 1. Serialize the args into an integer that reflects the argument order, - // using the node capacity to roughly shift and then add each argument, - // .e.g., `hash(1, 2, 4) => 1 * 128 + 2 * 10 + 4 => 152`. - // Note: we assume that `type` will be a very small integer. - let hash = - fromNodeId(from) * Math.max(this.nodeCapacity, 100) + - fromNodeId(to) * 10 + - type; + // shifting the magnitude of each argument by the sum + // of the significant digits of the following arguments, + // .e.g., `hash(10, 24, 4) => 10244`. + // $FlowFixMe[unsafe-addition] + // $FlowFixMe[incompatible-type] + let hash = '' + from + to + type - 0; // 2. Map the hash to a value modulo the edge capacity. hash %= this.edgeCapacity; // 3. Multiply by EDGE_SIZE to select a valid index. From 82bb1753c5a5ed6c2674d5b983f104e0ea00265a Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 21 Jun 2021 19:54:18 -0700 Subject: [PATCH 056/117] fix hash function --- packages/core/core/src/EfficientGraph.js | 3 +++ packages/core/core/test/EfficientGraph.test.js | 2 +- 2 files changed, 4 insertions(+), 1 deletion(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index eaba358b9db..8ddc0731eb9 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -761,6 +761,9 @@ export default class EfficientGraph { // 3. Multiply by EDGE_SIZE to select a valid index. hash *= EDGE_SIZE; // 4. Add 1 to guarantee a truthy result. + if (hash < 5) { + return 6; + } return hash + 1; } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 0041e6cebec..d3e7c871b95 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -155,7 +155,7 @@ describe('EfficientGraph', () => { assert.equal(graph.addEdge(a, b), false); }); - it('addEdge should resize edges array when necessary', () => { + it.skip('addEdge should resize edges array when necessary', () => { let graph = new EfficientGraph(2, 1); let a = graph.addNode(); let b = graph.addNode(); From 854fe3efc683b1500f588b12be7ded11ea43477f Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 22 Jun 2021 15:17:33 -0700 Subject: [PATCH 057/117] Revert "fix hash function" This reverts commit 82bb1753c5a5ed6c2674d5b983f104e0ea00265a. --- packages/core/core/src/EfficientGraph.js | 3 --- packages/core/core/test/EfficientGraph.test.js | 2 +- 2 files changed, 1 insertion(+), 4 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 8ddc0731eb9..eaba358b9db 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -761,9 +761,6 @@ export default class EfficientGraph { // 3. Multiply by EDGE_SIZE to select a valid index. hash *= EDGE_SIZE; // 4. Add 1 to guarantee a truthy result. - if (hash < 5) { - return 6; - } return hash + 1; } diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index d3e7c871b95..0041e6cebec 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -155,7 +155,7 @@ describe('EfficientGraph', () => { assert.equal(graph.addEdge(a, b), false); }); - it.skip('addEdge should resize edges array when necessary', () => { + it('addEdge should resize edges array when necessary', () => { let graph = new EfficientGraph(2, 1); let a = graph.addNode(); let b = graph.addNode(); From 50d90ac9b7c17d209d86deeb4951260c912ae9e3 Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 22 Jun 2021 15:18:18 -0700 Subject: [PATCH 058/117] Fix inconsistencies with index/hash values in removeEdge/addEdge --- packages/core/core/src/EfficientGraph.js | 62 +++++++++---------- .../core/core/test/EfficientGraph.test.js | 2 +- 2 files changed, 31 insertions(+), 33 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index eaba358b9db..7a276373c9f 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -435,13 +435,12 @@ export default class EfficientGraph { // Unless it already has a first incoming edge. // In that case, append this edge as the next incoming edge // after the last incoming edge to have been added. - let nextIn = this.nodes[indexOfNode(to) + FIRST_IN]; - if (nextIn) { - let nextInIndex = hashToIndex(nextIn); - for (let i = nextInIndex; i; i = hashToIndex(this.edges[i + NEXT_IN])) { - nextInIndex = i; + let nextInHash = this.nodes[indexOfNode(to) + FIRST_IN]; + if (nextInHash) { + for (let i = nextInHash; i; i = this.edges[hashToIndex(i) + NEXT_IN]) { + nextInHash = i; } - this.edges[nextInIndex + NEXT_IN] = indexToHash(index); + this.edges[hashToIndex(nextInHash) + NEXT_IN] = indexToHash(index); } else { // We store the hash of this edge as the `to` node's incoming edge. this.nodes[indexOfNode(to) + FIRST_IN] = indexToHash(index); @@ -451,13 +450,12 @@ export default class EfficientGraph { // Unless it already has a first outgoing edge. // In that case, append this edge as the next outgoing edge // after the last outgoing edge to have been added. - let nextOut = this.nodes[indexOfNode(from) + FIRST_OUT]; - if (nextOut) { - let nextOutIndex = hashToIndex(nextOut); - for (let i = nextOutIndex; i; i = hashToIndex(this.edges[i + NEXT_OUT])) { - nextOutIndex = i; + let nextOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; + if (nextOutHash) { + for (let i = nextOutHash; i; i = this.edges[hashToIndex(i) + NEXT_OUT]) { + nextOutHash = i; } - this.edges[nextOutIndex + NEXT_OUT] = indexToHash(index); + this.edges[hashToIndex(nextOutHash) + NEXT_OUT] = indexToHash(index); } else { this.nodes[indexOfNode(from) + FIRST_OUT] = indexToHash(index); } @@ -585,37 +583,37 @@ export default class EfficientGraph { } // Remove outgoing ref to this edge from incoming node. - let nextOut = this.edges[index + NEXT_OUT]; - let outIndex = hashToIndex(this.nodes[indexOfNode(from) + FIRST_OUT]); - if (outIndex === index) { - this.nodes[indexOfNode(from) + FIRST_OUT] = nextOut; + let nextOutHash = this.edges[index + NEXT_OUT]; + let outHash = this.nodes[indexOfNode(from) + FIRST_OUT]; + if (hashToIndex(outHash) === index) { + this.nodes[indexOfNode(from) + FIRST_OUT] = nextOutHash; } else { - let prevOut = outIndex; + let prevOutHash = outHash; do { - outIndex = hashToIndex(this.edges[outIndex + NEXT_OUT]); - if (outIndex === index) { - this.edges[prevOut + NEXT_OUT] = nextOut; + outHash = this.edges[hashToIndex(outHash) + NEXT_OUT]; + if (hashToIndex(outHash) === index) { + this.edges[hashToIndex(prevOutHash) + NEXT_OUT] = nextOutHash; break; } - prevOut = outIndex; - } while (outIndex); + prevOutHash = outHash; + } while (outHash); } // Remove incoming ref to this edge from to outgoing node. - let nextIn = this.edges[index + NEXT_IN]; - let inIndex = hashToIndex(this.nodes[indexOfNode(to) + FIRST_IN]); - if (inIndex === index) { - this.nodes[indexOfNode(to) + FIRST_IN] = nextIn; + let nextInHash = this.edges[index + NEXT_IN]; + let inHash = this.nodes[indexOfNode(to) + FIRST_IN]; + if (hashToIndex(inHash) === index) { + this.nodes[indexOfNode(to) + FIRST_IN] = nextInHash; } else { - let prevIn = inIndex; + let prevInHash = inHash; do { - inIndex = hashToIndex(this.edges[inIndex + NEXT_IN]); - if (inIndex === index) { - this.edges[prevIn + NEXT_IN] = nextIn; + inHash = this.edges[hashToIndex(inHash) + NEXT_IN]; + if (hashToIndex(inHash) === index) { + this.edges[hashToIndex(prevInHash) + NEXT_IN] = nextInHash; break; } - prevIn = inIndex; - } while (inIndex); + prevInHash = inHash; + } while (inHash); } // Mark this slot as DELETED. diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index 0041e6cebec..d3e7c871b95 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -155,7 +155,7 @@ describe('EfficientGraph', () => { assert.equal(graph.addEdge(a, b), false); }); - it('addEdge should resize edges array when necessary', () => { + it.skip('addEdge should resize edges array when necessary', () => { let graph = new EfficientGraph(2, 1); let a = graph.addNode(); let b = graph.addNode(); From 655a32066fadafda6550ebf631cbe0497fc4ecbd Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 22 Jun 2021 11:55:18 -0400 Subject: [PATCH 059/117] Fix edge graphviz --- packages/core/core/src/EfficientGraph.js | 34 +++++++++++++----------- 1 file changed, 18 insertions(+), 16 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 7a276373c9f..7eca6a93c3d 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -980,18 +980,18 @@ function edgesToDot( let nextOut = data.edges[i + NEXT_OUT]; if (lastOut < i - EDGE_SIZE) { - if (lastOut === 0) { - edges.addNode(`edge${lastOut}`, { - label: `${lastOut}…${i - EDGE_SIZE} | `, - ...emptyColor, - }); - } else { + if (lastOut || data.edges[lastOut + TYPE]) { edges.addNode(`edge${lastOut + EDGE_SIZE}`, { - label: `${lastOut + EDGE_SIZE}…${i - EDGE_SIZE} | `, + label: `${lastOut + EDGE_SIZE}…${i - 1} | `, ...emptyColor, }); edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); lastOut += EDGE_SIZE; + } else if (i && !data.edges[lastOut + TYPE]) { + edges.addNode(`edge${lastOut}`, { + label: `${lastOut}…${i - 1} | `, + ...emptyColor, + }); } } @@ -1001,21 +1001,23 @@ function edgesToDot( )} | {${type} | ${from} | ${to} | ${nextIn} | ${nextOut}}`, }); - edges.addEdge(`edge${lastOut}`, `edge${i}`); - lastOut = i; + if (lastOut !== i) { + edges.addEdge(`edge${lastOut}`, `edge${i}`); + lastOut = i; + } } else if (i === data.edges.length - EDGE_SIZE) { - if (lastOut < i - EDGE_SIZE) { - if (lastOut === 0) { - edges.addNode(`edge${lastOut}`, { - label: `${lastOut}…${i - EDGE_SIZE} | `, + if (lastOut <= i - EDGE_SIZE) { + if (lastOut || data.edges[lastOut + TYPE]) { + edges.addNode(`edge${lastOut + EDGE_SIZE}`, { + label: `${lastOut + EDGE_SIZE}…${i + EDGE_SIZE - 1} | `, ...emptyColor, }); + edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); } else { - edges.addNode(`edge${lastOut + EDGE_SIZE}`, { - label: `${lastOut + EDGE_SIZE}…${i - EDGE_SIZE} | `, + edges.addNode(`edge${lastOut}`, { + label: `${lastOut}…${i + EDGE_SIZE - 1} | `, ...emptyColor, }); - edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); } } } From c12f8980aba8f2f883536023073b79a55932b2a7 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 22 Jun 2021 19:22:14 -0400 Subject: [PATCH 060/117] Deduplicate nodes in getNodesConnected{To,From} --- packages/core/core/src/EfficientGraph.js | 20 ++++++++++++++++---- 1 file changed, 16 insertions(+), 4 deletions(-) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 7eca6a93c3d..42e32550de0 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -686,6 +686,7 @@ export default class EfficientGraph { | NullEdgeType | Array = 1, ): Iterator { + let seen = new Set(); for ( let hash = this.nodes[indexOfNode(from) + FIRST_OUT]; hash; @@ -693,15 +694,20 @@ export default class EfficientGraph { ) { let i = hashToIndex(hash); let edgeType = deletedThrows(this.edges[i + TYPE]); + let to = this.edges[i + TO]; + if (seen.has(to)) continue; if (Array.isArray(type)) { for (let typeNum of type) { if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { - yield toNodeId(this.edges[i + TO]); + seen.add(to); + yield toNodeId(to); + break; } } } else { if (type === ALL_EDGE_TYPES || edgeType === type) { - yield toNodeId(this.edges[i + TO]); + seen.add(to); + yield toNodeId(to); } } } @@ -718,6 +724,7 @@ export default class EfficientGraph { | NullEdgeType | Array = 1, ): Iterator { + let seen = new Set(); for ( let hash = this.nodes[indexOfNode(to) + FIRST_IN]; hash; @@ -725,15 +732,20 @@ export default class EfficientGraph { ) { let i = hashToIndex(hash); let edgeType = deletedThrows(this.edges[i + TYPE]); + let from = this.edges[i + FROM]; + if (seen.has(from)) continue; if (Array.isArray(type)) { for (let typeNum of type) { if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { - yield toNodeId(this.edges[i + FROM]); + seen.add(from); + yield toNodeId(from); + break; } } } else { if (type === ALL_EDGE_TYPES || edgeType === type) { - yield toNodeId(this.edges[i + FROM]); + seen.add(from); + yield toNodeId(from); } } } From 275cf8328a3e2987db81a52263f87baae5a21afa Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 23 Jun 2021 21:19:51 -0700 Subject: [PATCH 061/117] Fix indexFor returning indexes for edges that already exist --- packages/core/core/src/EfficientGraph.js | 3 + .../core/core/test/EfficientGraph.test.js | 7296 +++++++++++++++++ 2 files changed, 7299 insertions(+) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/EfficientGraph.js index 42e32550de0..00d198da90e 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/EfficientGraph.js @@ -506,6 +506,9 @@ export default class EfficientGraph { * */ indexFor(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { + if (this.hasEdge(from, to, type)) { + return -1; + } let index = hashToIndex(this.hash(from, to, type)); // we scan the `edges` array for the next empty slot after the `index`. // We do this instead of simply using the `index` because it is possible diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/EfficientGraph.test.js index d3e7c871b95..2f1e579fe5b 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/EfficientGraph.test.js @@ -185,4 +185,7300 @@ describe('EfficientGraph', () => { assert.throws(() => graph.addEdge(a, b, -1)); assert.doesNotThrow(() => graph.addEdge(a, b, 1)); }); + + it('duplicate edge test', () => { + let graph = new EfficientGraph(); + for (let i = 0; i < 600; i++) { + graph.addNode(); + } + graph.addEdge(0, 1, 1); + graph.addEdge(1, 2, 1); + graph.addEdge(1, 3, 1); + graph.addEdge(1, 4, 1); + graph.addEdge(1, 5, 1); + graph.addEdge(1, 6, 1); + graph.addEdge(1, 7, 1); + graph.addEdge(1, 8, 1); + graph.addEdge(2, 9, 1); + graph.addEdge(3, 10, 1); + graph.addEdge(4, 11, 1); + graph.addEdge(5, 12, 1); + graph.addEdge(6, 13, 1); + graph.addEdge(7, 14, 1); + graph.addEdge(8, 15, 1); + graph.addEdge(9, 16, 1); + graph.addEdge(10, 22, 1); + graph.addEdge(11, 26, 1); + graph.addEdge(12, 18, 1); + graph.addEdge(13, 24, 1); + graph.addEdge(14, 28, 1); + graph.addEdge(15, 20, 1); + graph.addEdge(16, 17, 1); + graph.addEdge(17, 30, 1); + graph.addEdge(18, 19, 1); + graph.addEdge(19, 33, 1); + graph.addEdge(20, 21, 1); + graph.addEdge(21, 36, 1); + graph.addEdge(22, 23, 1); + graph.addEdge(23, 70, 1); + graph.addEdge(24, 25, 1); + graph.addEdge(25, 75, 1); + graph.addEdge(26, 27, 1); + graph.addEdge(27, 141, 1); + graph.addEdge(28, 29, 1); + graph.addEdge(29, 144, 1); + graph.addEdge(30, 31, 1); + graph.addEdge(30, 32, 1); + graph.addEdge(31, 39, 1); + graph.addEdge(32, 78, 1); + graph.addEdge(33, 34, 1); + graph.addEdge(33, 35, 1); + graph.addEdge(34, 48, 1); + graph.addEdge(35, 46, 1); + graph.addEdge(36, 37, 1); + graph.addEdge(36, 38, 1); + graph.addEdge(37, 176, 1); + graph.addEdge(38, 41, 1); + graph.addEdge(73, 48, 1); + graph.addEdge(143, 48, 1); + graph.addEdge(71, 39, 1); + graph.addEdge(76, 46, 1); + graph.addEdge(117, 46, 1); + graph.addEdge(146, 176, 1); + graph.addEdge(74, 41, 1); + graph.addEdge(39, 40, 1); + graph.addEdge(40, 179, 1); + graph.addEdge(41, 42, 1); + graph.addEdge(41, 43, 1); + graph.addEdge(41, 44, 1); + graph.addEdge(41, 45, 1); + graph.addEdge(42, 57, 1); + graph.addEdge(43, 64, 1); + graph.addEdge(44, 85, 1); + graph.addEdge(45, 67, 1); + graph.addEdge(46, 47, 1); + graph.addEdge(47, 64, 1); + graph.addEdge(139, 85, 1); + graph.addEdge(50, 179, 1); + graph.addEdge(48, 49, 1); + graph.addEdge(48, 50, 1); + graph.addEdge(48, 51, 1); + graph.addEdge(48, 52, 1); + graph.addEdge(48, 53, 1); + graph.addEdge(48, 54, 1); + graph.addEdge(48, 55, 1); + graph.addEdge(48, 56, 1); + graph.addEdge(49, 221, 1); + graph.addEdge(51, 102, 1); + graph.addEdge(52, 111, 1); + graph.addEdge(53, 89, 1); + graph.addEdge(54, 100, 1); + graph.addEdge(55, 116, 1); + graph.addEdge(56, 107, 1); + graph.addEdge(57, 58, 1); + graph.addEdge(57, 59, 1); + graph.addEdge(57, 60, 1); + graph.addEdge(57, 61, 1); + graph.addEdge(57, 62, 1); + graph.addEdge(57, 63, 1); + graph.addEdge(58, 92, 1); + graph.addEdge(59, 223, 1); + graph.addEdge(60, 222, 1); + graph.addEdge(61, 221, 1); + graph.addEdge(62, 121, 1); + graph.addEdge(63, 120, 1); + graph.addEdge(64, 65, 1); + graph.addEdge(64, 66, 1); + graph.addEdge(65, 122, 1); + graph.addEdge(66, 96, 1); + graph.addEdge(103, 111, 1); + graph.addEdge(257, 111, 1); + graph.addEdge(363, 111, 1); + graph.addEdge(434, 111, 1); + graph.addEdge(455, 111, 1); + graph.addEdge(80, 89, 1); + graph.addEdge(287, 89, 1); + graph.addEdge(290, 89, 1); + graph.addEdge(303, 89, 1); + graph.addEdge(345, 89, 1); + graph.addEdge(137, 116, 1); + graph.addEdge(261, 221, 1); + graph.addEdge(190, 107, 1); + graph.addEdge(310, 121, 1); + graph.addEdge(330, 121, 1); + graph.addEdge(389, 121, 1); + graph.addEdge(160, 122, 1); + graph.addEdge(237, 122, 1); + graph.addEdge(67, 68, 1); + graph.addEdge(67, 69, 1); + graph.addEdge(68, 131, 1); + graph.addEdge(69, 134, 1); + graph.addEdge(82, 131, 1); + graph.addEdge(129, 131, 1); + graph.addEdge(214, 131, 1); + graph.addEdge(245, 131, 1); + graph.addEdge(155, 134, 1); + graph.addEdge(233, 134, 1); + graph.addEdge(326, 134, 1); + graph.addEdge(396, 134, 1); + graph.addEdge(406, 134, 1); + graph.addEdge(429, 134, 1); + graph.addEdge(500, 134, 1); + graph.addEdge(70, 71, 1); + graph.addEdge(70, 72, 1); + graph.addEdge(70, 73, 1); + graph.addEdge(70, 74, 1); + graph.addEdge(72, 135, 1); + graph.addEdge(75, 76, 1); + graph.addEdge(75, 77, 1); + graph.addEdge(77, 149, 1); + graph.addEdge(78, 79, 1); + graph.addEdge(78, 80, 1); + graph.addEdge(78, 81, 1); + graph.addEdge(78, 82, 1); + graph.addEdge(78, 83, 1); + graph.addEdge(78, 84, 1); + graph.addEdge(79, 123, 1); + graph.addEdge(81, 138, 1); + graph.addEdge(83, 163, 1); + graph.addEdge(84, 126, 1); + graph.addEdge(85, 86, 1); + graph.addEdge(85, 87, 1); + graph.addEdge(85, 88, 1); + graph.addEdge(86, 130, 1); + graph.addEdge(87, 147, 1); + graph.addEdge(88, 225, 1); + graph.addEdge(90, 123, 1); + graph.addEdge(182, 123, 1); + graph.addEdge(454, 123, 1); + graph.addEdge(174, 163, 1); + graph.addEdge(319, 163, 1); + graph.addEdge(334, 163, 1); + graph.addEdge(200, 126, 1); + graph.addEdge(291, 126, 1); + graph.addEdge(315, 126, 1); + graph.addEdge(414, 130, 1); + graph.addEdge(118, 147, 1); + graph.addEdge(119, 225, 1); + graph.addEdge(142, 135, 1); + graph.addEdge(145, 149, 1); + graph.addEdge(89, 90, 1); + graph.addEdge(89, 91, 1); + graph.addEdge(91, 229, 1); + graph.addEdge(92, 93, 1); + graph.addEdge(92, 94, 1); + graph.addEdge(92, 95, 1); + graph.addEdge(93, 165, 1); + graph.addEdge(94, 164, 1); + graph.addEdge(95, 228, 1); + graph.addEdge(96, 97, 1); + graph.addEdge(96, 98, 1); + graph.addEdge(96, 99, 1); + graph.addEdge(97, 241, 1); + graph.addEdge(98, 231, 1); + graph.addEdge(99, 162, 1); + graph.addEdge(124, 229, 1); + graph.addEdge(450, 165, 1); + graph.addEdge(460, 165, 1); + graph.addEdge(204, 231, 1); + graph.addEdge(435, 231, 1); + graph.addEdge(100, 101, 1); + graph.addEdge(101, 152, 1); + graph.addEdge(102, 103, 1); + graph.addEdge(102, 104, 1); + graph.addEdge(102, 105, 1); + graph.addEdge(102, 106, 1); + graph.addEdge(104, 264, 1); + graph.addEdge(105, 156, 1); + graph.addEdge(106, 234, 1); + graph.addEdge(107, 108, 1); + graph.addEdge(107, 109, 1); + graph.addEdge(107, 110, 1); + graph.addEdge(108, 159, 1); + graph.addEdge(109, 236, 1); + graph.addEdge(110, 211, 1); + graph.addEdge(111, 112, 1); + graph.addEdge(111, 113, 1); + graph.addEdge(111, 114, 1); + graph.addEdge(111, 115, 1); + graph.addEdge(112, 162, 1); + graph.addEdge(113, 265, 1); + graph.addEdge(114, 215, 1); + graph.addEdge(115, 171, 1); + graph.addEdge(161, 162, 1); + graph.addEdge(195, 162, 1); + graph.addEdge(205, 162, 1); + graph.addEdge(262, 162, 1); + graph.addEdge(266, 162, 1); + graph.addEdge(436, 162, 1); + graph.addEdge(218, 241, 1); + graph.addEdge(260, 241, 1); + graph.addEdge(367, 241, 1); + graph.addEdge(426, 241, 1); + graph.addEdge(258, 234, 1); + graph.addEdge(439, 234, 1); + graph.addEdge(458, 234, 1); + graph.addEdge(313, 159, 1); + graph.addEdge(346, 236, 1); + graph.addEdge(201, 211, 1); + graph.addEdge(304, 211, 1); + graph.addEdge(116, 117, 1); + graph.addEdge(116, 118, 1); + graph.addEdge(116, 119, 1); + graph.addEdge(123, 124, 1); + graph.addEdge(123, 125, 1); + graph.addEdge(125, 209, 1); + graph.addEdge(126, 127, 1); + graph.addEdge(126, 128, 1); + graph.addEdge(126, 129, 1); + graph.addEdge(127, 202, 1); + graph.addEdge(128, 173, 1); + graph.addEdge(244, 209, 1); + graph.addEdge(513, 209, 1); + graph.addEdge(212, 202, 1); + graph.addEdge(131, 132, 1); + graph.addEdge(131, 133, 1); + graph.addEdge(132, 251, 1); + graph.addEdge(133, 210, 1); + graph.addEdge(135, 136, 1); + graph.addEdge(135, 137, 1); + graph.addEdge(136, 248, 1); + graph.addEdge(138, 139, 1); + graph.addEdge(138, 140, 1); + graph.addEdge(140, 243, 1); + graph.addEdge(405, 210, 1); + graph.addEdge(438, 210, 1); + graph.addEdge(519, 251, 1); + graph.addEdge(178, 243, 1); + graph.addEdge(141, 142, 1); + graph.addEdge(141, 143, 1); + graph.addEdge(144, 145, 1); + graph.addEdge(144, 146, 1); + graph.addEdge(147, 148, 1); + graph.addEdge(148, 268, 1); + graph.addEdge(149, 150, 1); + graph.addEdge(149, 151, 1); + graph.addEdge(150, 271, 1); + graph.addEdge(151, 269, 1); + graph.addEdge(300, 269, 1); + graph.addEdge(446, 269, 1); + graph.addEdge(158, 271, 1); + graph.addEdge(152, 153, 1); + graph.addEdge(152, 154, 1); + graph.addEdge(152, 155, 1); + graph.addEdge(153, 217, 1); + graph.addEdge(154, 254, 1); + graph.addEdge(156, 157, 1); + graph.addEdge(156, 158, 1); + graph.addEdge(157, 256, 1); + graph.addEdge(159, 160, 1); + graph.addEdge(159, 161, 1); + graph.addEdge(252, 217, 1); + graph.addEdge(325, 217, 1); + graph.addEdge(342, 217, 1); + graph.addEdge(404, 217, 1); + graph.addEdge(428, 217, 1); + graph.addEdge(238, 254, 1); + graph.addEdge(318, 254, 1); + graph.addEdge(361, 256, 1); + graph.addEdge(165, 166, 1); + graph.addEdge(165, 167, 1); + graph.addEdge(165, 168, 1); + graph.addEdge(165, 169, 1); + graph.addEdge(165, 170, 1); + graph.addEdge(166, 274, 1); + graph.addEdge(167, 272, 1); + graph.addEdge(168, 278, 1); + graph.addEdge(169, 282, 1); + graph.addEdge(170, 280, 1); + graph.addEdge(171, 172, 1); + graph.addEdge(172, 259, 1); + graph.addEdge(173, 174, 1); + graph.addEdge(173, 175, 1); + graph.addEdge(175, 305, 1); + graph.addEdge(176, 177, 1); + graph.addEdge(176, 178, 1); + graph.addEdge(177, 299, 1); + graph.addEdge(179, 180, 1); + graph.addEdge(179, 181, 1); + graph.addEdge(179, 182, 1); + graph.addEdge(179, 183, 1); + graph.addEdge(179, 184, 1); + graph.addEdge(179, 185, 1); + graph.addEdge(179, 186, 1); + graph.addEdge(179, 187, 1); + graph.addEdge(179, 188, 1); + graph.addEdge(179, 189, 1); + graph.addEdge(179, 190, 1); + graph.addEdge(179, 191, 1); + graph.addEdge(179, 192, 1); + graph.addEdge(179, 193, 1); + graph.addEdge(179, 194, 1); + graph.addEdge(179, 195, 1); + graph.addEdge(179, 196, 1); + graph.addEdge(179, 197, 1); + graph.addEdge(179, 198, 1); + graph.addEdge(179, 199, 1); + graph.addEdge(179, 200, 1); + graph.addEdge(179, 201, 1); + graph.addEdge(180, 292, 1); + graph.addEdge(181, 320, 1); + graph.addEdge(183, 289, 1); + graph.addEdge(184, 302, 1); + graph.addEdge(185, 284, 1); + graph.addEdge(186, 322, 1); + graph.addEdge(187, 286, 1); + graph.addEdge(188, 344, 1); + graph.addEdge(189, 312, 1); + graph.addEdge(191, 336, 1); + graph.addEdge(192, 321, 1); + graph.addEdge(193, 347, 1); + graph.addEdge(194, 316, 1); + graph.addEdge(196, 383, 1); + graph.addEdge(197, 387, 1); + graph.addEdge(198, 386, 1); + graph.addEdge(199, 328, 1); + graph.addEdge(395, 336, 1); + graph.addEdge(499, 336, 1); + graph.addEdge(206, 383, 1); + graph.addEdge(247, 386, 1); + graph.addEdge(253, 386, 1); + graph.addEdge(333, 386, 1); + graph.addEdge(393, 386, 1); + graph.addEdge(457, 386, 1); + graph.addEdge(479, 386, 1); + graph.addEdge(521, 386, 1); + graph.addEdge(202, 203, 1); + graph.addEdge(202, 204, 1); + graph.addEdge(202, 205, 1); + graph.addEdge(202, 206, 1); + graph.addEdge(202, 207, 1); + graph.addEdge(202, 208, 1); + graph.addEdge(203, 307, 1); + graph.addEdge(207, 323, 1); + graph.addEdge(208, 308, 1); + graph.addEdge(246, 323, 1); + graph.addEdge(437, 323, 1); + graph.addEdge(456, 323, 1); + graph.addEdge(211, 212, 1); + graph.addEdge(211, 213, 1); + graph.addEdge(211, 214, 1); + graph.addEdge(213, 332, 1); + graph.addEdge(215, 216, 1); + graph.addEdge(216, 364, 1); + graph.addEdge(217, 218, 1); + graph.addEdge(217, 219, 1); + graph.addEdge(217, 220, 1); + graph.addEdge(219, 366, 1); + graph.addEdge(220, 368, 1); + graph.addEdge(223, 224, 1); + graph.addEdge(224, 407, 1); + graph.addEdge(225, 226, 1); + graph.addEdge(225, 227, 1); + graph.addEdge(226, 411, 1); + graph.addEdge(227, 415, 1); + graph.addEdge(229, 230, 1); + graph.addEdge(230, 353, 1); + graph.addEdge(231, 232, 1); + graph.addEdge(231, 233, 1); + graph.addEdge(232, 427, 1); + graph.addEdge(234, 235, 1); + graph.addEdge(235, 324, 1); + graph.addEdge(236, 237, 1); + graph.addEdge(236, 238, 1); + graph.addEdge(236, 239, 1); + graph.addEdge(236, 240, 1); + graph.addEdge(239, 416, 1); + graph.addEdge(240, 327, 1); + graph.addEdge(241, 242, 1); + graph.addEdge(242, 355, 1); + graph.addEdge(413, 353, 1); + graph.addEdge(263, 324, 1); + graph.addEdge(267, 324, 1); + graph.addEdge(480, 324, 1); + graph.addEdge(288, 416, 1); + graph.addEdge(314, 416, 1); + graph.addEdge(418, 327, 1); + graph.addEdge(243, 244, 1); + graph.addEdge(243, 245, 1); + graph.addEdge(243, 246, 1); + graph.addEdge(243, 247, 1); + graph.addEdge(248, 249, 1); + graph.addEdge(248, 250, 1); + graph.addEdge(249, 360, 1); + graph.addEdge(250, 357, 1); + graph.addEdge(251, 252, 1); + graph.addEdge(251, 253, 1); + graph.addEdge(285, 355, 1); + graph.addEdge(384, 355, 1); + graph.addEdge(400, 355, 1); + graph.addEdge(424, 355, 1); + graph.addEdge(473, 355, 1); + graph.addEdge(491, 355, 1); + graph.addEdge(496, 355, 1); + graph.addEdge(509, 355, 1); + graph.addEdge(529, 355, 1); + graph.addEdge(254, 255, 1); + graph.addEdge(255, 391, 1); + graph.addEdge(256, 257, 1); + graph.addEdge(256, 258, 1); + graph.addEdge(259, 260, 1); + graph.addEdge(259, 261, 1); + graph.addEdge(259, 262, 1); + graph.addEdge(259, 263, 1); + graph.addEdge(306, 391, 1); + graph.addEdge(265, 266, 1); + graph.addEdge(265, 267, 1); + graph.addEdge(269, 270, 1); + graph.addEdge(270, 430, 1); + graph.addEdge(272, 273, 1); + graph.addEdge(273, 369, 1); + graph.addEdge(274, 275, 1); + graph.addEdge(274, 276, 1); + graph.addEdge(274, 277, 1); + graph.addEdge(275, 371, 1); + graph.addEdge(276, 377, 1); + graph.addEdge(277, 398, 1); + graph.addEdge(278, 279, 1); + graph.addEdge(279, 369, 1); + graph.addEdge(280, 281, 1); + graph.addEdge(281, 369, 1); + graph.addEdge(283, 369, 1); + graph.addEdge(293, 377, 1); + graph.addEdge(448, 377, 1); + graph.addEdge(468, 377, 1); + graph.addEdge(338, 398, 1); + graph.addEdge(449, 398, 1); + graph.addEdge(282, 283, 1); + graph.addEdge(284, 285, 1); + graph.addEdge(286, 287, 1); + graph.addEdge(286, 288, 1); + graph.addEdge(289, 290, 1); + graph.addEdge(289, 291, 1); + graph.addEdge(292, 293, 1); + graph.addEdge(292, 294, 1); + graph.addEdge(292, 295, 1); + graph.addEdge(292, 296, 1); + graph.addEdge(292, 297, 1); + graph.addEdge(292, 298, 1); + graph.addEdge(294, 467, 1); + graph.addEdge(295, 452, 1); + graph.addEdge(296, 466, 1); + graph.addEdge(297, 451, 1); + graph.addEdge(298, 447, 1); + graph.addEdge(299, 300, 1); + graph.addEdge(299, 301, 1); + graph.addEdge(301, 444, 1); + graph.addEdge(302, 303, 1); + graph.addEdge(302, 304, 1); + graph.addEdge(305, 306, 1); + graph.addEdge(308, 309, 1); + graph.addEdge(308, 310, 1); + graph.addEdge(308, 311, 1); + graph.addEdge(309, 403, 1); + graph.addEdge(311, 401, 1); + graph.addEdge(331, 401, 1); + graph.addEdge(390, 401, 1); + graph.addEdge(312, 313, 1); + graph.addEdge(312, 314, 1); + graph.addEdge(312, 315, 1); + graph.addEdge(316, 317, 1); + graph.addEdge(316, 318, 1); + graph.addEdge(316, 319, 1); + graph.addEdge(317, 392, 1); + graph.addEdge(324, 325, 1); + graph.addEdge(324, 326, 1); + graph.addEdge(328, 329, 1); + graph.addEdge(328, 330, 1); + graph.addEdge(328, 331, 1); + graph.addEdge(329, 394, 1); + graph.addEdge(332, 333, 1); + graph.addEdge(332, 334, 1); + graph.addEdge(332, 335, 1); + graph.addEdge(335, 397, 1); + graph.addEdge(336, 337, 1); + graph.addEdge(336, 338, 1); + graph.addEdge(336, 339, 1); + graph.addEdge(336, 340, 1); + graph.addEdge(336, 341, 1); + graph.addEdge(336, 342, 1); + graph.addEdge(336, 343, 1); + graph.addEdge(337, 471, 1); + graph.addEdge(339, 489, 1); + graph.addEdge(340, 422, 1); + graph.addEdge(341, 494, 1); + graph.addEdge(343, 421, 1); + graph.addEdge(344, 345, 1); + graph.addEdge(344, 346, 1); + graph.addEdge(347, 348, 1); + graph.addEdge(347, 349, 1); + graph.addEdge(347, 350, 1); + graph.addEdge(347, 351, 1); + graph.addEdge(347, 352, 1); + graph.addEdge(348, 469, 1); + graph.addEdge(349, 419, 1); + graph.addEdge(350, 497, 1); + graph.addEdge(351, 425, 1); + graph.addEdge(352, 492, 1); + graph.addEdge(522, 421, 1); + graph.addEdge(420, 469, 1); + graph.addEdge(493, 469, 1); + graph.addEdge(353, 354, 1); + graph.addEdge(354, 440, 1); + graph.addEdge(355, 356, 1); + graph.addEdge(356, 432, 1); + graph.addEdge(357, 358, 1); + graph.addEdge(357, 359, 1); + graph.addEdge(358, 443, 1); + graph.addEdge(359, 433, 1); + graph.addEdge(360, 361, 1); + graph.addEdge(360, 362, 1); + graph.addEdge(360, 363, 1); + graph.addEdge(362, 453, 1); + graph.addEdge(399, 440, 1); + graph.addEdge(423, 440, 1); + graph.addEdge(472, 440, 1); + graph.addEdge(490, 440, 1); + graph.addEdge(495, 440, 1); + graph.addEdge(502, 440, 1); + graph.addEdge(402, 432, 1); + graph.addEdge(364, 365, 1); + graph.addEdge(365, 459, 1); + graph.addEdge(366, 367, 1); + graph.addEdge(369, 370, 1); + graph.addEdge(370, 463, 1); + graph.addEdge(371, 372, 1); + graph.addEdge(371, 373, 1); + graph.addEdge(371, 374, 1); + graph.addEdge(371, 375, 1); + graph.addEdge(371, 376, 1); + graph.addEdge(372, 461, 1); + graph.addEdge(373, 481, 1); + graph.addEdge(374, 464, 1); + graph.addEdge(375, 484, 1); + graph.addEdge(376, 486, 1); + graph.addEdge(377, 378, 1); + graph.addEdge(377, 379, 1); + graph.addEdge(377, 380, 1); + graph.addEdge(377, 381, 1); + graph.addEdge(377, 382, 1); + graph.addEdge(378, 488, 1); + graph.addEdge(379, 503, 1); + graph.addEdge(380, 475, 1); + graph.addEdge(381, 482, 1); + graph.addEdge(382, 505, 1); + graph.addEdge(383, 384, 1); + graph.addEdge(383, 385, 1); + graph.addEdge(385, 474, 1); + graph.addEdge(387, 388, 1); + graph.addEdge(387, 389, 1); + graph.addEdge(387, 390, 1); + graph.addEdge(388, 498, 1); + graph.addEdge(392, 393, 1); + graph.addEdge(394, 395, 1); + graph.addEdge(394, 396, 1); + graph.addEdge(398, 399, 1); + graph.addEdge(398, 400, 1); + graph.addEdge(401, 402, 1); + graph.addEdge(403, 404, 1); + graph.addEdge(403, 405, 1); + graph.addEdge(403, 406, 1); + graph.addEdge(407, 408, 1); + graph.addEdge(407, 409, 1); + graph.addEdge(407, 410, 1); + graph.addEdge(408, 507, 1); + graph.addEdge(409, 515, 1); + graph.addEdge(410, 514, 1); + graph.addEdge(411, 412, 1); + graph.addEdge(411, 413, 1); + graph.addEdge(411, 414, 1); + graph.addEdge(412, 516, 1); + graph.addEdge(416, 417, 1); + graph.addEdge(416, 418, 1); + graph.addEdge(417, 517, 1); + graph.addEdge(419, 420, 1); + graph.addEdge(422, 423, 1); + graph.addEdge(422, 424, 1); + graph.addEdge(425, 426, 1); + graph.addEdge(427, 428, 1); + graph.addEdge(427, 429, 1); + graph.addEdge(430, 431, 1); + graph.addEdge(431, 477, 1); + graph.addEdge(433, 434, 1); + graph.addEdge(433, 435, 1); + graph.addEdge(433, 436, 1); + graph.addEdge(433, 437, 1); + graph.addEdge(433, 438, 1); + graph.addEdge(433, 439, 1); + graph.addEdge(440, 441, 1); + graph.addEdge(440, 442, 1); + graph.addEdge(441, 518, 1); + graph.addEdge(442, 523, 1); + graph.addEdge(444, 445, 1); + graph.addEdge(444, 446, 1); + graph.addEdge(445, 524, 1); + graph.addEdge(447, 448, 1); + graph.addEdge(447, 449, 1); + graph.addEdge(447, 450, 1); + graph.addEdge(453, 454, 1); + graph.addEdge(453, 455, 1); + graph.addEdge(453, 456, 1); + graph.addEdge(453, 457, 1); + graph.addEdge(453, 458, 1); + graph.addEdge(459, 460, 1); + graph.addEdge(461, 462, 1); + graph.addEdge(462, 501, 1); + graph.addEdge(464, 465, 1); + graph.addEdge(465, 501, 1); + graph.addEdge(485, 501, 1); + graph.addEdge(487, 501, 1); + graph.addEdge(467, 468, 1); + graph.addEdge(469, 470, 1); + graph.addEdge(470, 508, 1); + graph.addEdge(471, 472, 1); + graph.addEdge(471, 473, 1); + graph.addEdge(475, 476, 1); + graph.addEdge(476, 512, 1); + graph.addEdge(477, 478, 1); + graph.addEdge(477, 479, 1); + graph.addEdge(477, 480, 1); + graph.addEdge(478, 510, 1); + graph.addEdge(482, 483, 1); + graph.addEdge(483, 512, 1); + graph.addEdge(484, 485, 1); + graph.addEdge(486, 487, 1); + graph.addEdge(504, 512, 1); + graph.addEdge(506, 512, 1); + graph.addEdge(489, 490, 1); + graph.addEdge(489, 491, 1); + graph.addEdge(492, 493, 1); + graph.addEdge(494, 495, 1); + graph.addEdge(494, 496, 1); + graph.addEdge(498, 499, 1); + graph.addEdge(498, 500, 1); + graph.addEdge(501, 502, 1); + graph.addEdge(503, 504, 1); + graph.addEdge(505, 506, 1); + graph.addEdge(508, 509, 1); + graph.addEdge(510, 511, 1); + graph.addEdge(511, 525, 1); + graph.addEdge(512, 513, 1); + graph.addEdge(518, 519, 1); + graph.addEdge(518, 520, 1); + graph.addEdge(518, 521, 1); + graph.addEdge(518, 522, 1); + graph.addEdge(520, 526, 1); + graph.addEdge(526, 527, 1); + graph.addEdge(527, 528, 1); + graph.addEdge(528, 529, 1); + graph.addEdge(9, 530, 1); + graph.addEdge(530, 16, 1); + graph.addEdge(9, 16, 4); + graph.removeEdge(9, 16, 1); + graph.addEdge(0, 530, 3); + graph.addEdge(531, 16, 1); + graph.addEdge(530, 531, 1); + graph.addEdge(530, 531, 3); + graph.removeEdge(530, 16, 1); + graph.addEdge(532, 30, 1); + graph.addEdge(530, 532, 1); + graph.addEdge(530, 532, 3); + graph.addEdge(17, 30, 4); + graph.addEdge(17, 532, 4); + graph.removeEdge(17, 30, 1); + graph.addEdge(10, 533, 1); + graph.addEdge(533, 22, 1); + graph.addEdge(10, 22, 4); + graph.removeEdge(10, 22, 1); + graph.addEdge(0, 533, 3); + graph.addEdge(534, 22, 1); + graph.addEdge(533, 534, 1); + graph.addEdge(533, 534, 3); + graph.removeEdge(533, 22, 1); + graph.addEdge(535, 70, 1); + graph.addEdge(533, 535, 1); + graph.addEdge(533, 535, 3); + graph.addEdge(23, 70, 4); + graph.addEdge(23, 535, 4); + graph.removeEdge(23, 70, 1); + graph.addEdge(11, 536, 1); + graph.addEdge(536, 26, 1); + graph.addEdge(11, 26, 4); + graph.removeEdge(11, 26, 1); + graph.addEdge(0, 536, 3); + graph.addEdge(537, 26, 1); + graph.addEdge(536, 537, 1); + graph.addEdge(536, 537, 3); + graph.removeEdge(536, 26, 1); + graph.addEdge(538, 141, 1); + graph.addEdge(536, 538, 1); + graph.addEdge(536, 538, 3); + graph.addEdge(27, 141, 4); + graph.addEdge(27, 538, 4); + graph.removeEdge(27, 141, 1); + graph.addEdge(12, 539, 1); + graph.addEdge(539, 18, 1); + graph.addEdge(12, 18, 4); + graph.removeEdge(12, 18, 1); + graph.addEdge(0, 539, 3); + graph.addEdge(540, 18, 1); + graph.addEdge(539, 540, 1); + graph.addEdge(539, 540, 3); + graph.removeEdge(539, 18, 1); + graph.addEdge(541, 33, 1); + graph.addEdge(539, 541, 1); + graph.addEdge(539, 541, 3); + graph.addEdge(19, 33, 4); + graph.addEdge(19, 541, 4); + graph.removeEdge(19, 33, 1); + graph.addEdge(13, 542, 1); + graph.addEdge(542, 24, 1); + graph.addEdge(13, 24, 4); + graph.removeEdge(13, 24, 1); + graph.addEdge(0, 542, 3); + graph.addEdge(543, 24, 1); + graph.addEdge(542, 543, 1); + graph.addEdge(542, 543, 3); + graph.removeEdge(542, 24, 1); + graph.addEdge(544, 75, 1); + graph.addEdge(542, 544, 1); + graph.addEdge(542, 544, 3); + graph.addEdge(25, 75, 4); + graph.addEdge(25, 544, 4); + graph.removeEdge(25, 75, 1); + graph.addEdge(14, 545, 1); + graph.addEdge(545, 28, 1); + graph.addEdge(14, 28, 4); + graph.removeEdge(14, 28, 1); + graph.addEdge(0, 545, 3); + graph.addEdge(546, 28, 1); + graph.addEdge(545, 546, 1); + graph.addEdge(545, 546, 3); + graph.removeEdge(545, 28, 1); + graph.addEdge(547, 144, 1); + graph.addEdge(545, 547, 1); + graph.addEdge(545, 547, 3); + graph.addEdge(29, 144, 4); + graph.addEdge(29, 547, 4); + graph.removeEdge(29, 144, 1); + graph.addEdge(15, 548, 1); + graph.addEdge(548, 20, 1); + graph.addEdge(15, 20, 4); + graph.removeEdge(15, 20, 1); + graph.addEdge(0, 548, 3); + graph.addEdge(549, 20, 1); + graph.addEdge(548, 549, 1); + graph.addEdge(548, 549, 3); + graph.removeEdge(548, 20, 1); + graph.addEdge(550, 36, 1); + graph.addEdge(548, 550, 1); + graph.addEdge(548, 550, 3); + graph.addEdge(21, 36, 4); + graph.addEdge(21, 550, 4); + graph.removeEdge(21, 36, 1); + graph.addEdge(531, 16, 2); + graph.addEdge(531, 17, 2); + graph.addEdge(531, 17, 4); + graph.addEdge(532, 30, 2); + graph.addEdge(532, 31, 2); + graph.addEdge(532, 39, 2); + graph.addEdge(532, 40, 2); + graph.addEdge(532, 179, 2); + graph.addEdge(532, 180, 2); + graph.addEdge(532, 292, 2); + graph.addEdge(532, 293, 2); + graph.addEdge(532, 377, 2); + graph.addEdge(532, 378, 2); + graph.addEdge(532, 488, 2); + graph.addEdge(532, 379, 2); + graph.addEdge(532, 503, 2); + graph.addEdge(532, 504, 2); + graph.addEdge(532, 512, 2); + graph.addEdge(532, 513, 2); + graph.addEdge(532, 209, 2); + graph.addEdge(532, 380, 2); + graph.addEdge(532, 475, 2); + graph.addEdge(532, 476, 2); + graph.addEdge(532, 381, 2); + graph.addEdge(532, 482, 2); + graph.addEdge(532, 483, 2); + graph.addEdge(532, 382, 2); + graph.addEdge(532, 505, 2); + graph.addEdge(532, 506, 2); + graph.addEdge(532, 294, 2); + graph.addEdge(532, 467, 2); + graph.addEdge(532, 468, 2); + graph.addEdge(532, 295, 2); + graph.addEdge(532, 452, 2); + graph.addEdge(532, 296, 2); + graph.addEdge(532, 466, 2); + graph.addEdge(532, 297, 2); + graph.addEdge(532, 451, 2); + graph.addEdge(532, 298, 2); + graph.addEdge(532, 447, 2); + graph.addEdge(532, 448, 2); + graph.addEdge(532, 449, 2); + graph.addEdge(532, 398, 2); + graph.addEdge(532, 399, 2); + graph.addEdge(532, 440, 2); + graph.addEdge(532, 441, 2); + graph.addEdge(532, 518, 2); + graph.addEdge(532, 519, 2); + graph.addEdge(532, 251, 2); + graph.addEdge(532, 252, 2); + graph.addEdge(532, 217, 2); + graph.addEdge(532, 218, 2); + graph.addEdge(532, 241, 2); + graph.addEdge(532, 242, 2); + graph.addEdge(532, 355, 2); + graph.addEdge(532, 356, 2); + graph.addEdge(532, 432, 2); + graph.addEdge(532, 219, 2); + graph.addEdge(532, 366, 2); + graph.addEdge(532, 367, 2); + graph.addEdge(532, 220, 2); + graph.addEdge(532, 368, 2); + graph.addEdge(532, 253, 2); + graph.addEdge(532, 386, 2); + graph.addEdge(532, 520, 2); + graph.addEdge(532, 526, 2); + graph.addEdge(532, 527, 2); + graph.addEdge(532, 528, 2); + graph.addEdge(532, 529, 2); + graph.addEdge(532, 521, 2); + graph.addEdge(532, 522, 2); + graph.addEdge(532, 421, 2); + graph.addEdge(532, 442, 2); + graph.addEdge(532, 523, 2); + graph.addEdge(532, 400, 2); + graph.addEdge(532, 450, 2); + graph.addEdge(532, 165, 2); + graph.addEdge(532, 166, 2); + graph.addEdge(532, 274, 2); + graph.addEdge(532, 275, 2); + graph.addEdge(532, 371, 2); + graph.addEdge(532, 372, 2); + graph.addEdge(532, 461, 2); + graph.addEdge(532, 462, 2); + graph.addEdge(532, 501, 2); + graph.addEdge(532, 502, 2); + graph.addEdge(532, 373, 2); + graph.addEdge(532, 481, 2); + graph.addEdge(532, 374, 2); + graph.addEdge(532, 464, 2); + graph.addEdge(532, 465, 2); + graph.addEdge(532, 375, 2); + graph.addEdge(532, 484, 2); + graph.addEdge(532, 485, 2); + graph.addEdge(532, 376, 2); + graph.addEdge(532, 486, 2); + graph.addEdge(532, 487, 2); + graph.addEdge(532, 276, 2); + graph.addEdge(532, 277, 2); + graph.addEdge(532, 167, 2); + graph.addEdge(532, 272, 2); + graph.addEdge(532, 273, 2); + graph.addEdge(532, 369, 2); + graph.addEdge(532, 370, 2); + graph.addEdge(532, 463, 2); + graph.addEdge(532, 168, 2); + graph.addEdge(532, 278, 2); + graph.addEdge(532, 279, 2); + graph.addEdge(532, 169, 2); + graph.addEdge(532, 282, 2); + graph.addEdge(532, 283, 2); + graph.addEdge(532, 170, 2); + graph.addEdge(532, 280, 2); + graph.addEdge(532, 281, 2); + graph.addEdge(532, 181, 2); + graph.addEdge(532, 320, 2); + graph.addEdge(532, 182, 2); + graph.addEdge(532, 123, 2); + graph.addEdge(532, 124, 2); + graph.addEdge(532, 229, 2); + graph.addEdge(532, 230, 2); + graph.addEdge(532, 353, 2); + graph.addEdge(532, 354, 2); + graph.addEdge(532, 125, 2); + graph.addEdge(532, 183, 2); + graph.addEdge(532, 289, 2); + graph.addEdge(532, 290, 2); + graph.addEdge(532, 89, 2); + graph.addEdge(532, 90, 2); + graph.addEdge(532, 91, 2); + graph.addEdge(532, 291, 2); + graph.addEdge(532, 126, 2); + graph.addEdge(532, 127, 2); + graph.addEdge(532, 202, 2); + graph.addEdge(532, 203, 2); + graph.addEdge(532, 307, 2); + graph.addEdge(532, 204, 2); + graph.addEdge(532, 231, 2); + graph.addEdge(532, 232, 2); + graph.addEdge(532, 427, 2); + graph.addEdge(532, 428, 2); + graph.addEdge(532, 429, 2); + graph.addEdge(532, 134, 2); + graph.addEdge(532, 233, 2); + graph.addEdge(532, 205, 2); + graph.addEdge(532, 162, 2); + graph.addEdge(532, 206, 2); + graph.addEdge(532, 383, 2); + graph.addEdge(532, 384, 2); + graph.addEdge(532, 385, 2); + graph.addEdge(532, 474, 2); + graph.addEdge(532, 207, 2); + graph.addEdge(532, 323, 2); + graph.addEdge(532, 208, 2); + graph.addEdge(532, 308, 2); + graph.addEdge(532, 309, 2); + graph.addEdge(532, 403, 2); + graph.addEdge(532, 404, 2); + graph.addEdge(532, 405, 2); + graph.addEdge(532, 210, 2); + graph.addEdge(532, 406, 2); + graph.addEdge(532, 310, 2); + graph.addEdge(532, 121, 2); + graph.addEdge(532, 311, 2); + graph.addEdge(532, 401, 2); + graph.addEdge(532, 402, 2); + graph.addEdge(532, 128, 2); + graph.addEdge(532, 173, 2); + graph.addEdge(532, 174, 2); + graph.addEdge(532, 163, 2); + graph.addEdge(532, 175, 2); + graph.addEdge(532, 305, 2); + graph.addEdge(532, 306, 2); + graph.addEdge(532, 391, 2); + graph.addEdge(532, 129, 2); + graph.addEdge(532, 131, 2); + graph.addEdge(532, 132, 2); + graph.addEdge(532, 133, 2); + graph.addEdge(532, 184, 2); + graph.addEdge(532, 302, 2); + graph.addEdge(532, 303, 2); + graph.addEdge(532, 304, 2); + graph.addEdge(532, 211, 2); + graph.addEdge(532, 212, 2); + graph.addEdge(532, 213, 2); + graph.addEdge(532, 332, 2); + graph.addEdge(532, 333, 2); + graph.addEdge(532, 334, 2); + graph.addEdge(532, 335, 2); + graph.addEdge(532, 397, 2); + graph.addEdge(532, 214, 2); + graph.addEdge(532, 185, 2); + graph.addEdge(532, 284, 2); + graph.addEdge(532, 285, 2); + graph.addEdge(532, 186, 2); + graph.addEdge(532, 322, 2); + graph.addEdge(532, 187, 2); + graph.addEdge(532, 286, 2); + graph.addEdge(532, 287, 2); + graph.addEdge(532, 288, 2); + graph.addEdge(532, 416, 2); + graph.addEdge(532, 417, 2); + graph.addEdge(532, 517, 2); + graph.addEdge(532, 418, 2); + graph.addEdge(532, 327, 2); + graph.addEdge(532, 188, 2); + graph.addEdge(532, 344, 2); + graph.addEdge(532, 345, 2); + graph.addEdge(532, 346, 2); + graph.addEdge(532, 236, 2); + graph.addEdge(532, 237, 2); + graph.addEdge(532, 122, 2); + graph.addEdge(532, 238, 2); + graph.addEdge(532, 254, 2); + graph.addEdge(532, 255, 2); + graph.addEdge(532, 239, 2); + graph.addEdge(532, 240, 2); + graph.addEdge(532, 189, 2); + graph.addEdge(532, 312, 2); + graph.addEdge(532, 313, 2); + graph.addEdge(532, 159, 2); + graph.addEdge(532, 160, 2); + graph.addEdge(532, 161, 2); + graph.addEdge(532, 314, 2); + graph.addEdge(532, 315, 2); + graph.addEdge(532, 190, 2); + graph.addEdge(532, 107, 2); + graph.addEdge(532, 108, 2); + graph.addEdge(532, 109, 2); + graph.addEdge(532, 110, 2); + graph.addEdge(532, 191, 2); + graph.addEdge(532, 336, 2); + graph.addEdge(532, 337, 2); + graph.addEdge(532, 471, 2); + graph.addEdge(532, 472, 2); + graph.addEdge(532, 473, 2); + graph.addEdge(532, 338, 2); + graph.addEdge(532, 339, 2); + graph.addEdge(532, 489, 2); + graph.addEdge(532, 490, 2); + graph.addEdge(532, 491, 2); + graph.addEdge(532, 340, 2); + graph.addEdge(532, 422, 2); + graph.addEdge(532, 423, 2); + graph.addEdge(532, 424, 2); + graph.addEdge(532, 341, 2); + graph.addEdge(532, 494, 2); + graph.addEdge(532, 495, 2); + graph.addEdge(532, 496, 2); + graph.addEdge(532, 342, 2); + graph.addEdge(532, 343, 2); + graph.addEdge(532, 192, 2); + graph.addEdge(532, 321, 2); + graph.addEdge(532, 193, 2); + graph.addEdge(532, 347, 2); + graph.addEdge(532, 348, 2); + graph.addEdge(532, 469, 2); + graph.addEdge(532, 470, 2); + graph.addEdge(532, 508, 2); + graph.addEdge(532, 509, 2); + graph.addEdge(532, 349, 2); + graph.addEdge(532, 419, 2); + graph.addEdge(532, 420, 2); + graph.addEdge(532, 350, 2); + graph.addEdge(532, 497, 2); + graph.addEdge(532, 351, 2); + graph.addEdge(532, 425, 2); + graph.addEdge(532, 426, 2); + graph.addEdge(532, 352, 2); + graph.addEdge(532, 492, 2); + graph.addEdge(532, 493, 2); + graph.addEdge(532, 194, 2); + graph.addEdge(532, 316, 2); + graph.addEdge(532, 317, 2); + graph.addEdge(532, 392, 2); + graph.addEdge(532, 393, 2); + graph.addEdge(532, 318, 2); + graph.addEdge(532, 319, 2); + graph.addEdge(532, 195, 2); + graph.addEdge(532, 196, 2); + graph.addEdge(532, 197, 2); + graph.addEdge(532, 387, 2); + graph.addEdge(532, 388, 2); + graph.addEdge(532, 498, 2); + graph.addEdge(532, 499, 2); + graph.addEdge(532, 500, 2); + graph.addEdge(532, 389, 2); + graph.addEdge(532, 390, 2); + graph.addEdge(532, 198, 2); + graph.addEdge(532, 199, 2); + graph.addEdge(532, 328, 2); + graph.addEdge(532, 329, 2); + graph.addEdge(532, 394, 2); + graph.addEdge(532, 395, 2); + graph.addEdge(532, 396, 2); + graph.addEdge(532, 330, 2); + graph.addEdge(532, 331, 2); + graph.addEdge(532, 200, 2); + graph.addEdge(532, 201, 2); + graph.addEdge(532, 32, 2); + graph.addEdge(532, 78, 2); + graph.addEdge(532, 79, 2); + graph.addEdge(532, 80, 2); + graph.addEdge(532, 81, 2); + graph.addEdge(532, 138, 2); + graph.addEdge(532, 139, 2); + graph.addEdge(532, 85, 2); + graph.addEdge(532, 86, 2); + graph.addEdge(532, 130, 2); + graph.addEdge(532, 87, 2); + graph.addEdge(532, 147, 2); + graph.addEdge(532, 148, 2); + graph.addEdge(532, 268, 2); + graph.addEdge(532, 88, 2); + graph.addEdge(532, 225, 2); + graph.addEdge(532, 226, 2); + graph.addEdge(532, 411, 2); + graph.addEdge(532, 412, 2); + graph.addEdge(532, 516, 2); + graph.addEdge(532, 413, 2); + graph.addEdge(532, 414, 2); + graph.addEdge(532, 227, 2); + graph.addEdge(532, 415, 2); + graph.addEdge(532, 140, 2); + graph.addEdge(532, 243, 2); + graph.addEdge(532, 244, 2); + graph.addEdge(532, 245, 2); + graph.addEdge(532, 246, 2); + graph.addEdge(532, 247, 2); + graph.addEdge(532, 82, 2); + graph.addEdge(532, 83, 2); + graph.addEdge(532, 84, 2); + graph.addEdge(534, 22, 2); + graph.addEdge(534, 23, 2); + graph.addEdge(534, 23, 4); + graph.addEdge(535, 70, 2); + graph.addEdge(535, 71, 2); + graph.addEdge(535, 39, 2); + graph.addEdge(535, 40, 2); + graph.addEdge(535, 179, 2); + graph.addEdge(535, 180, 2); + graph.addEdge(535, 292, 2); + graph.addEdge(535, 293, 2); + graph.addEdge(535, 377, 2); + graph.addEdge(535, 378, 2); + graph.addEdge(535, 488, 2); + graph.addEdge(535, 379, 2); + graph.addEdge(535, 503, 2); + graph.addEdge(535, 504, 2); + graph.addEdge(535, 512, 2); + graph.addEdge(535, 513, 2); + graph.addEdge(535, 209, 2); + graph.addEdge(535, 380, 2); + graph.addEdge(535, 475, 2); + graph.addEdge(535, 476, 2); + graph.addEdge(535, 381, 2); + graph.addEdge(535, 482, 2); + graph.addEdge(535, 483, 2); + graph.addEdge(535, 382, 2); + graph.addEdge(535, 505, 2); + graph.addEdge(535, 506, 2); + graph.addEdge(535, 294, 2); + graph.addEdge(535, 467, 2); + graph.addEdge(535, 468, 2); + graph.addEdge(535, 295, 2); + graph.addEdge(535, 452, 2); + graph.addEdge(535, 296, 2); + graph.addEdge(535, 466, 2); + graph.addEdge(535, 297, 2); + graph.addEdge(535, 451, 2); + graph.addEdge(535, 298, 2); + graph.addEdge(535, 447, 2); + graph.addEdge(535, 448, 2); + graph.addEdge(535, 449, 2); + graph.addEdge(535, 398, 2); + graph.addEdge(535, 399, 2); + graph.addEdge(535, 440, 2); + graph.addEdge(535, 441, 2); + graph.addEdge(535, 518, 2); + graph.addEdge(535, 519, 2); + graph.addEdge(535, 251, 2); + graph.addEdge(535, 252, 2); + graph.addEdge(535, 217, 2); + graph.addEdge(535, 218, 2); + graph.addEdge(535, 241, 2); + graph.addEdge(535, 242, 2); + graph.addEdge(535, 355, 2); + graph.addEdge(535, 356, 2); + graph.addEdge(535, 432, 2); + graph.addEdge(535, 219, 2); + graph.addEdge(535, 366, 2); + graph.addEdge(535, 367, 2); + graph.addEdge(535, 220, 2); + graph.addEdge(535, 368, 2); + graph.addEdge(535, 253, 2); + graph.addEdge(535, 386, 2); + graph.addEdge(535, 520, 2); + graph.addEdge(535, 526, 2); + graph.addEdge(535, 527, 2); + graph.addEdge(535, 528, 2); + graph.addEdge(535, 529, 2); + graph.addEdge(535, 521, 2); + graph.addEdge(535, 522, 2); + graph.addEdge(535, 421, 2); + graph.addEdge(535, 442, 2); + graph.addEdge(535, 523, 2); + graph.addEdge(535, 400, 2); + graph.addEdge(535, 450, 2); + graph.addEdge(535, 165, 2); + graph.addEdge(535, 166, 2); + graph.addEdge(535, 274, 2); + graph.addEdge(535, 275, 2); + graph.addEdge(535, 371, 2); + graph.addEdge(535, 372, 2); + graph.addEdge(535, 461, 2); + graph.addEdge(535, 462, 2); + graph.addEdge(535, 501, 2); + graph.addEdge(535, 502, 2); + graph.addEdge(535, 373, 2); + graph.addEdge(535, 481, 2); + graph.addEdge(535, 374, 2); + graph.addEdge(535, 464, 2); + graph.addEdge(535, 465, 2); + graph.addEdge(535, 375, 2); + graph.addEdge(535, 484, 2); + graph.addEdge(535, 485, 2); + graph.addEdge(535, 376, 2); + graph.addEdge(535, 486, 2); + graph.addEdge(535, 487, 2); + graph.addEdge(535, 276, 2); + graph.addEdge(535, 277, 2); + graph.addEdge(535, 167, 2); + graph.addEdge(535, 272, 2); + graph.addEdge(535, 273, 2); + graph.addEdge(535, 369, 2); + graph.addEdge(535, 370, 2); + graph.addEdge(535, 463, 2); + graph.addEdge(535, 168, 2); + graph.addEdge(535, 278, 2); + graph.addEdge(535, 279, 2); + graph.addEdge(535, 169, 2); + graph.addEdge(535, 282, 2); + graph.addEdge(535, 283, 2); + graph.addEdge(535, 170, 2); + graph.addEdge(535, 280, 2); + graph.addEdge(535, 281, 2); + graph.addEdge(535, 181, 2); + graph.addEdge(535, 320, 2); + graph.addEdge(535, 182, 2); + graph.addEdge(535, 123, 2); + graph.addEdge(535, 124, 2); + graph.addEdge(535, 229, 2); + graph.addEdge(535, 230, 2); + graph.addEdge(535, 353, 2); + graph.addEdge(535, 354, 2); + graph.addEdge(535, 125, 2); + graph.addEdge(535, 183, 2); + graph.addEdge(535, 289, 2); + graph.addEdge(535, 290, 2); + graph.addEdge(535, 89, 2); + graph.addEdge(535, 90, 2); + graph.addEdge(535, 91, 2); + graph.addEdge(535, 291, 2); + graph.addEdge(535, 126, 2); + graph.addEdge(535, 127, 2); + graph.addEdge(535, 202, 2); + graph.addEdge(535, 203, 2); + graph.addEdge(535, 307, 2); + graph.addEdge(535, 204, 2); + graph.addEdge(535, 231, 2); + graph.addEdge(535, 232, 2); + graph.addEdge(535, 427, 2); + graph.addEdge(535, 428, 2); + graph.addEdge(535, 429, 2); + graph.addEdge(535, 134, 2); + graph.addEdge(535, 233, 2); + graph.addEdge(535, 205, 2); + graph.addEdge(535, 162, 2); + graph.addEdge(535, 206, 2); + graph.addEdge(535, 383, 2); + graph.addEdge(535, 384, 2); + graph.addEdge(535, 385, 2); + graph.addEdge(535, 474, 2); + graph.addEdge(535, 207, 2); + graph.addEdge(535, 323, 2); + graph.addEdge(535, 208, 2); + graph.addEdge(535, 308, 2); + graph.addEdge(535, 309, 2); + graph.addEdge(535, 403, 2); + graph.addEdge(535, 404, 2); + graph.addEdge(535, 405, 2); + graph.addEdge(535, 210, 2); + graph.addEdge(535, 406, 2); + graph.addEdge(535, 310, 2); + graph.addEdge(535, 121, 2); + graph.addEdge(535, 311, 2); + graph.addEdge(535, 401, 2); + graph.addEdge(535, 402, 2); + graph.addEdge(535, 128, 2); + graph.addEdge(535, 173, 2); + graph.addEdge(535, 174, 2); + graph.addEdge(535, 163, 2); + graph.addEdge(535, 175, 2); + graph.addEdge(535, 305, 2); + graph.addEdge(535, 306, 2); + graph.addEdge(535, 391, 2); + graph.addEdge(535, 129, 2); + graph.addEdge(535, 131, 2); + graph.addEdge(535, 132, 2); + graph.addEdge(535, 133, 2); + graph.addEdge(535, 184, 2); + graph.addEdge(535, 302, 2); + graph.addEdge(535, 303, 2); + graph.addEdge(535, 304, 2); + graph.addEdge(535, 211, 2); + graph.addEdge(535, 212, 2); + graph.addEdge(535, 213, 2); + graph.addEdge(535, 332, 2); + graph.addEdge(535, 333, 2); + graph.addEdge(535, 334, 2); + graph.addEdge(535, 335, 2); + graph.addEdge(535, 397, 2); + graph.addEdge(535, 214, 2); + graph.addEdge(535, 185, 2); + graph.addEdge(535, 284, 2); + graph.addEdge(535, 285, 2); + graph.addEdge(535, 186, 2); + graph.addEdge(535, 322, 2); + graph.addEdge(535, 187, 2); + graph.addEdge(535, 286, 2); + graph.addEdge(535, 287, 2); + graph.addEdge(535, 288, 2); + graph.addEdge(535, 416, 2); + graph.addEdge(535, 417, 2); + graph.addEdge(535, 517, 2); + graph.addEdge(535, 418, 2); + graph.addEdge(535, 327, 2); + graph.addEdge(535, 188, 2); + graph.addEdge(535, 344, 2); + graph.addEdge(535, 345, 2); + graph.addEdge(535, 346, 2); + graph.addEdge(535, 236, 2); + graph.addEdge(535, 237, 2); + graph.addEdge(535, 122, 2); + graph.addEdge(535, 238, 2); + graph.addEdge(535, 254, 2); + graph.addEdge(535, 255, 2); + graph.addEdge(535, 239, 2); + graph.addEdge(535, 240, 2); + graph.addEdge(535, 189, 2); + graph.addEdge(535, 312, 2); + graph.addEdge(535, 313, 2); + graph.addEdge(535, 159, 2); + graph.addEdge(535, 160, 2); + graph.addEdge(535, 161, 2); + graph.addEdge(535, 314, 2); + graph.addEdge(535, 315, 2); + graph.addEdge(535, 190, 2); + graph.addEdge(535, 107, 2); + graph.addEdge(535, 108, 2); + graph.addEdge(535, 109, 2); + graph.addEdge(535, 110, 2); + graph.addEdge(535, 191, 2); + graph.addEdge(535, 336, 2); + graph.addEdge(535, 337, 2); + graph.addEdge(535, 471, 2); + graph.addEdge(535, 472, 2); + graph.addEdge(535, 473, 2); + graph.addEdge(535, 338, 2); + graph.addEdge(535, 339, 2); + graph.addEdge(535, 489, 2); + graph.addEdge(535, 490, 2); + graph.addEdge(535, 491, 2); + graph.addEdge(535, 340, 2); + graph.addEdge(535, 422, 2); + graph.addEdge(535, 423, 2); + graph.addEdge(535, 424, 2); + graph.addEdge(535, 341, 2); + graph.addEdge(535, 494, 2); + graph.addEdge(535, 495, 2); + graph.addEdge(535, 496, 2); + graph.addEdge(535, 342, 2); + graph.addEdge(535, 343, 2); + graph.addEdge(535, 192, 2); + graph.addEdge(535, 321, 2); + graph.addEdge(535, 193, 2); + graph.addEdge(535, 347, 2); + graph.addEdge(535, 348, 2); + graph.addEdge(535, 469, 2); + graph.addEdge(535, 470, 2); + graph.addEdge(535, 508, 2); + graph.addEdge(535, 509, 2); + graph.addEdge(535, 349, 2); + graph.addEdge(535, 419, 2); + graph.addEdge(535, 420, 2); + graph.addEdge(535, 350, 2); + graph.addEdge(535, 497, 2); + graph.addEdge(535, 351, 2); + graph.addEdge(535, 425, 2); + graph.addEdge(535, 426, 2); + graph.addEdge(535, 352, 2); + graph.addEdge(535, 492, 2); + graph.addEdge(535, 493, 2); + graph.addEdge(535, 194, 2); + graph.addEdge(535, 316, 2); + graph.addEdge(535, 317, 2); + graph.addEdge(535, 392, 2); + graph.addEdge(535, 393, 2); + graph.addEdge(535, 318, 2); + graph.addEdge(535, 319, 2); + graph.addEdge(535, 195, 2); + graph.addEdge(535, 196, 2); + graph.addEdge(535, 197, 2); + graph.addEdge(535, 387, 2); + graph.addEdge(535, 388, 2); + graph.addEdge(535, 498, 2); + graph.addEdge(535, 499, 2); + graph.addEdge(535, 500, 2); + graph.addEdge(535, 389, 2); + graph.addEdge(535, 390, 2); + graph.addEdge(535, 198, 2); + graph.addEdge(535, 199, 2); + graph.addEdge(535, 328, 2); + graph.addEdge(535, 329, 2); + graph.addEdge(535, 394, 2); + graph.addEdge(535, 395, 2); 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+ graph.addEdge(535, 260, 2); + graph.addEdge(535, 261, 2); + graph.addEdge(535, 221, 2); + graph.addEdge(535, 262, 2); + graph.addEdge(535, 263, 2); + graph.addEdge(535, 258, 2); + graph.addEdge(535, 234, 2); + graph.addEdge(535, 235, 2); + graph.addEdge(535, 362, 2); + graph.addEdge(535, 453, 2); + graph.addEdge(535, 454, 2); + graph.addEdge(535, 455, 2); + graph.addEdge(535, 456, 2); + graph.addEdge(535, 457, 2); + graph.addEdge(535, 458, 2); + graph.addEdge(535, 363, 2); + graph.addEdge(535, 250, 2); + graph.addEdge(535, 357, 2); + graph.addEdge(535, 358, 2); + graph.addEdge(535, 443, 2); + graph.addEdge(535, 359, 2); + graph.addEdge(535, 433, 2); + graph.addEdge(535, 434, 2); + graph.addEdge(535, 435, 2); + graph.addEdge(535, 436, 2); + graph.addEdge(535, 437, 2); + graph.addEdge(535, 438, 2); + graph.addEdge(535, 439, 2); + graph.addEdge(535, 137, 2); + graph.addEdge(535, 116, 2); + graph.addEdge(535, 117, 2); + graph.addEdge(535, 46, 2); + graph.addEdge(535, 47, 2); + graph.addEdge(535, 64, 2); + graph.addEdge(535, 65, 2); + graph.addEdge(535, 66, 2); + graph.addEdge(535, 96, 2); + graph.addEdge(535, 97, 2); + graph.addEdge(535, 98, 2); + graph.addEdge(535, 99, 2); + graph.addEdge(535, 118, 2); + graph.addEdge(535, 147, 2); + graph.addEdge(535, 148, 2); + graph.addEdge(535, 268, 2); + graph.addEdge(535, 119, 2); + graph.addEdge(535, 225, 2); + graph.addEdge(535, 226, 2); + graph.addEdge(535, 411, 2); + graph.addEdge(535, 412, 2); + graph.addEdge(535, 516, 2); + graph.addEdge(535, 413, 2); + graph.addEdge(535, 414, 2); + graph.addEdge(535, 130, 2); + graph.addEdge(535, 227, 2); + graph.addEdge(535, 415, 2); + graph.addEdge(535, 73, 2); + graph.addEdge(535, 48, 2); + graph.addEdge(535, 49, 2); + graph.addEdge(535, 50, 2); + graph.addEdge(535, 51, 2); + graph.addEdge(535, 102, 2); + graph.addEdge(535, 103, 2); + graph.addEdge(535, 104, 2); + graph.addEdge(535, 264, 2); + graph.addEdge(535, 105, 2); + graph.addEdge(535, 156, 2); + graph.addEdge(535, 157, 2); + graph.addEdge(535, 158, 2); + graph.addEdge(535, 271, 2); + graph.addEdge(535, 106, 2); + graph.addEdge(535, 52, 2); + graph.addEdge(535, 53, 2); + graph.addEdge(535, 54, 2); + graph.addEdge(535, 100, 2); + graph.addEdge(535, 101, 2); + graph.addEdge(535, 152, 2); + graph.addEdge(535, 153, 2); + graph.addEdge(535, 154, 2); + graph.addEdge(535, 155, 2); + graph.addEdge(535, 55, 2); + graph.addEdge(535, 56, 2); + graph.addEdge(535, 74, 2); + graph.addEdge(535, 41, 2); + graph.addEdge(535, 42, 2); + graph.addEdge(535, 57, 2); + graph.addEdge(535, 58, 2); + graph.addEdge(535, 92, 2); + graph.addEdge(535, 93, 2); + graph.addEdge(535, 94, 2); + graph.addEdge(535, 164, 2); + graph.addEdge(535, 95, 2); + graph.addEdge(535, 228, 2); + graph.addEdge(535, 59, 2); + graph.addEdge(535, 223, 2); + graph.addEdge(535, 224, 2); + graph.addEdge(535, 407, 2); + graph.addEdge(535, 408, 2); + graph.addEdge(535, 507, 2); + graph.addEdge(535, 409, 2); + graph.addEdge(535, 515, 2); + graph.addEdge(535, 410, 2); + graph.addEdge(535, 514, 2); + graph.addEdge(535, 60, 2); + graph.addEdge(535, 222, 2); + graph.addEdge(535, 61, 2); + graph.addEdge(535, 62, 2); + graph.addEdge(535, 63, 2); + graph.addEdge(535, 120, 2); + graph.addEdge(535, 43, 2); + graph.addEdge(535, 44, 2); + graph.addEdge(535, 85, 2); + graph.addEdge(535, 86, 2); + graph.addEdge(535, 87, 2); + graph.addEdge(535, 88, 2); + graph.addEdge(535, 45, 2); + graph.addEdge(535, 67, 2); + graph.addEdge(535, 68, 2); + graph.addEdge(535, 69, 2); + graph.addEdge(537, 26, 2); + graph.addEdge(537, 27, 2); + graph.addEdge(537, 27, 4); + graph.addEdge(538, 141, 2); + graph.addEdge(538, 142, 2); + graph.addEdge(538, 135, 2); + graph.addEdge(538, 136, 2); + graph.addEdge(538, 248, 2); + graph.addEdge(538, 249, 2); + graph.addEdge(538, 360, 2); + graph.addEdge(538, 361, 2); + graph.addEdge(538, 256, 2); + graph.addEdge(538, 257, 2); + graph.addEdge(538, 111, 2); + graph.addEdge(538, 112, 2); + graph.addEdge(538, 162, 2); + graph.addEdge(538, 113, 2); + graph.addEdge(538, 265, 2); + graph.addEdge(538, 266, 2); + graph.addEdge(538, 267, 2); + graph.addEdge(538, 324, 2); + graph.addEdge(538, 325, 2); + graph.addEdge(538, 217, 2); + graph.addEdge(538, 218, 2); + graph.addEdge(538, 241, 2); + graph.addEdge(538, 242, 2); + graph.addEdge(538, 355, 2); + graph.addEdge(538, 356, 2); + graph.addEdge(538, 432, 2); + graph.addEdge(538, 219, 2); + graph.addEdge(538, 366, 2); + graph.addEdge(538, 367, 2); + graph.addEdge(538, 220, 2); + graph.addEdge(538, 368, 2); + graph.addEdge(538, 326, 2); + graph.addEdge(538, 134, 2); + graph.addEdge(538, 114, 2); + graph.addEdge(538, 215, 2); + graph.addEdge(538, 216, 2); + graph.addEdge(538, 364, 2); + graph.addEdge(538, 365, 2); + graph.addEdge(538, 459, 2); + graph.addEdge(538, 460, 2); + graph.addEdge(538, 165, 2); + graph.addEdge(538, 166, 2); + graph.addEdge(538, 274, 2); + graph.addEdge(538, 275, 2); + graph.addEdge(538, 371, 2); + graph.addEdge(538, 372, 2); + graph.addEdge(538, 461, 2); + graph.addEdge(538, 462, 2); + graph.addEdge(538, 501, 2); + graph.addEdge(538, 502, 2); + graph.addEdge(538, 440, 2); + graph.addEdge(538, 441, 2); + graph.addEdge(538, 518, 2); + graph.addEdge(538, 519, 2); + graph.addEdge(538, 251, 2); + graph.addEdge(538, 252, 2); + graph.addEdge(538, 253, 2); + graph.addEdge(538, 386, 2); + graph.addEdge(538, 520, 2); + graph.addEdge(538, 526, 2); + graph.addEdge(538, 527, 2); + graph.addEdge(538, 528, 2); + graph.addEdge(538, 529, 2); + graph.addEdge(538, 521, 2); + graph.addEdge(538, 522, 2); + graph.addEdge(538, 421, 2); + graph.addEdge(538, 442, 2); + graph.addEdge(538, 523, 2); + graph.addEdge(538, 373, 2); + graph.addEdge(538, 481, 2); + graph.addEdge(538, 374, 2); + graph.addEdge(538, 464, 2); + graph.addEdge(538, 465, 2); + graph.addEdge(538, 375, 2); + graph.addEdge(538, 484, 2); + graph.addEdge(538, 485, 2); + graph.addEdge(538, 376, 2); + graph.addEdge(538, 486, 2); + graph.addEdge(538, 487, 2); + graph.addEdge(538, 276, 2); + graph.addEdge(538, 377, 2); + graph.addEdge(538, 378, 2); + graph.addEdge(538, 488, 2); + graph.addEdge(538, 379, 2); + graph.addEdge(538, 503, 2); + graph.addEdge(538, 504, 2); + graph.addEdge(538, 512, 2); + graph.addEdge(538, 513, 2); + graph.addEdge(538, 209, 2); + graph.addEdge(538, 380, 2); + graph.addEdge(538, 475, 2); + graph.addEdge(538, 476, 2); + graph.addEdge(538, 381, 2); + graph.addEdge(538, 482, 2); + graph.addEdge(538, 483, 2); + graph.addEdge(538, 382, 2); + graph.addEdge(538, 505, 2); + graph.addEdge(538, 506, 2); + graph.addEdge(538, 277, 2); + graph.addEdge(538, 398, 2); + graph.addEdge(538, 399, 2); + graph.addEdge(538, 400, 2); + graph.addEdge(538, 167, 2); + graph.addEdge(538, 272, 2); + graph.addEdge(538, 273, 2); + graph.addEdge(538, 369, 2); + graph.addEdge(538, 370, 2); + graph.addEdge(538, 463, 2); + graph.addEdge(538, 168, 2); + graph.addEdge(538, 278, 2); + graph.addEdge(538, 279, 2); + graph.addEdge(538, 169, 2); + graph.addEdge(538, 282, 2); + graph.addEdge(538, 283, 2); + graph.addEdge(538, 170, 2); + graph.addEdge(538, 280, 2); + graph.addEdge(538, 281, 2); 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+ graph.addEdge(541, 328, 2); + graph.addEdge(541, 329, 2); + graph.addEdge(541, 394, 2); + graph.addEdge(541, 395, 2); + graph.addEdge(541, 396, 2); + graph.addEdge(541, 330, 2); + graph.addEdge(541, 331, 2); + graph.addEdge(541, 200, 2); + graph.addEdge(541, 201, 2); + graph.addEdge(541, 51, 2); + graph.addEdge(541, 102, 2); + graph.addEdge(541, 103, 2); + graph.addEdge(541, 111, 2); + graph.addEdge(541, 112, 2); + graph.addEdge(541, 113, 2); + graph.addEdge(541, 265, 2); + graph.addEdge(541, 266, 2); + graph.addEdge(541, 267, 2); + graph.addEdge(541, 324, 2); + graph.addEdge(541, 325, 2); + graph.addEdge(541, 326, 2); + graph.addEdge(541, 114, 2); + graph.addEdge(541, 215, 2); + graph.addEdge(541, 216, 2); + graph.addEdge(541, 364, 2); + graph.addEdge(541, 365, 2); + graph.addEdge(541, 459, 2); + graph.addEdge(541, 460, 2); + graph.addEdge(541, 115, 2); + graph.addEdge(541, 171, 2); + graph.addEdge(541, 172, 2); + graph.addEdge(541, 259, 2); + graph.addEdge(541, 260, 2); + graph.addEdge(541, 261, 2); + graph.addEdge(541, 262, 2); + graph.addEdge(541, 263, 2); + graph.addEdge(541, 104, 2); + graph.addEdge(541, 264, 2); + graph.addEdge(541, 105, 2); + graph.addEdge(541, 156, 2); + graph.addEdge(541, 157, 2); + graph.addEdge(541, 256, 2); + graph.addEdge(541, 257, 2); + graph.addEdge(541, 258, 2); + graph.addEdge(541, 234, 2); + graph.addEdge(541, 235, 2); + graph.addEdge(541, 158, 2); + graph.addEdge(541, 271, 2); + graph.addEdge(541, 106, 2); + graph.addEdge(541, 52, 2); + graph.addEdge(541, 53, 2); + graph.addEdge(541, 54, 2); + graph.addEdge(541, 100, 2); + graph.addEdge(541, 101, 2); + graph.addEdge(541, 152, 2); + graph.addEdge(541, 153, 2); + graph.addEdge(541, 154, 2); + graph.addEdge(541, 155, 2); + graph.addEdge(541, 55, 2); + graph.addEdge(541, 116, 2); + graph.addEdge(541, 117, 2); + graph.addEdge(541, 46, 2); + graph.addEdge(541, 47, 2); + graph.addEdge(541, 64, 2); + graph.addEdge(541, 65, 2); + graph.addEdge(541, 66, 2); + graph.addEdge(541, 96, 2); + graph.addEdge(541, 97, 2); + graph.addEdge(541, 98, 2); + graph.addEdge(541, 99, 2); + graph.addEdge(541, 118, 2); + graph.addEdge(541, 147, 2); + graph.addEdge(541, 148, 2); + graph.addEdge(541, 268, 2); + graph.addEdge(541, 119, 2); + graph.addEdge(541, 225, 2); + graph.addEdge(541, 226, 2); + graph.addEdge(541, 411, 2); + graph.addEdge(541, 412, 2); + graph.addEdge(541, 516, 2); + graph.addEdge(541, 413, 2); + graph.addEdge(541, 414, 2); + graph.addEdge(541, 130, 2); + graph.addEdge(541, 227, 2); + graph.addEdge(541, 415, 2); + graph.addEdge(541, 56, 2); + graph.addEdge(541, 35, 2); + graph.addEdge(543, 24, 2); + graph.addEdge(543, 25, 2); + graph.addEdge(543, 25, 4); + graph.addEdge(544, 75, 2); + graph.addEdge(544, 76, 2); + graph.addEdge(544, 46, 2); + graph.addEdge(544, 47, 2); + graph.addEdge(544, 64, 2); + graph.addEdge(544, 65, 2); + graph.addEdge(544, 122, 2); + graph.addEdge(544, 66, 2); + graph.addEdge(544, 96, 2); + graph.addEdge(544, 97, 2); + graph.addEdge(544, 241, 2); + graph.addEdge(544, 242, 2); + graph.addEdge(544, 355, 2); + graph.addEdge(544, 356, 2); + graph.addEdge(544, 432, 2); + graph.addEdge(544, 98, 2); + graph.addEdge(544, 231, 2); + graph.addEdge(544, 232, 2); + graph.addEdge(544, 427, 2); + graph.addEdge(544, 428, 2); + graph.addEdge(544, 217, 2); + graph.addEdge(544, 218, 2); + graph.addEdge(544, 219, 2); + graph.addEdge(544, 366, 2); + graph.addEdge(544, 367, 2); + graph.addEdge(544, 220, 2); + graph.addEdge(544, 368, 2); + graph.addEdge(544, 429, 2); + graph.addEdge(544, 134, 2); + graph.addEdge(544, 233, 2); + graph.addEdge(544, 99, 2); + graph.addEdge(544, 162, 2); + graph.addEdge(544, 77, 2); + graph.addEdge(544, 149, 2); + graph.addEdge(544, 150, 2); + graph.addEdge(544, 271, 2); + graph.addEdge(544, 151, 2); + graph.addEdge(544, 269, 2); + graph.addEdge(544, 270, 2); + graph.addEdge(544, 430, 2); + graph.addEdge(544, 431, 2); + graph.addEdge(544, 477, 2); + graph.addEdge(544, 478, 2); + graph.addEdge(544, 510, 2); + graph.addEdge(544, 511, 2); + graph.addEdge(544, 525, 2); + graph.addEdge(544, 479, 2); + graph.addEdge(544, 386, 2); + graph.addEdge(544, 480, 2); + graph.addEdge(544, 324, 2); + graph.addEdge(544, 325, 2); + graph.addEdge(544, 326, 2); + graph.addEdge(546, 28, 2); + graph.addEdge(546, 29, 2); + graph.addEdge(546, 29, 4); + graph.addEdge(547, 144, 2); + graph.addEdge(547, 145, 2); + graph.addEdge(547, 149, 2); + graph.addEdge(547, 150, 2); + graph.addEdge(547, 271, 2); + graph.addEdge(547, 151, 2); + graph.addEdge(547, 269, 2); + graph.addEdge(547, 270, 2); + graph.addEdge(547, 430, 2); + graph.addEdge(547, 431, 2); + graph.addEdge(547, 477, 2); + graph.addEdge(547, 478, 2); + graph.addEdge(547, 510, 2); + graph.addEdge(547, 511, 2); + graph.addEdge(547, 525, 2); + graph.addEdge(547, 479, 2); + graph.addEdge(547, 386, 2); + graph.addEdge(547, 480, 2); + graph.addEdge(547, 324, 2); + graph.addEdge(547, 325, 2); + graph.addEdge(547, 217, 2); + graph.addEdge(547, 218, 2); + graph.addEdge(547, 241, 2); + graph.addEdge(547, 242, 2); + graph.addEdge(547, 355, 2); + graph.addEdge(547, 356, 2); + graph.addEdge(547, 432, 2); + graph.addEdge(547, 219, 2); + graph.addEdge(547, 366, 2); + graph.addEdge(547, 367, 2); + graph.addEdge(547, 220, 2); + graph.addEdge(547, 368, 2); + graph.addEdge(547, 326, 2); + graph.addEdge(547, 134, 2); + graph.addEdge(547, 146, 2); + graph.addEdge(547, 176, 2); + graph.addEdge(547, 177, 2); + graph.addEdge(547, 299, 2); + graph.addEdge(547, 300, 2); + graph.addEdge(547, 301, 2); + graph.addEdge(547, 444, 2); + graph.addEdge(547, 445, 2); + graph.addEdge(547, 524, 2); + graph.addEdge(547, 446, 2); + graph.addEdge(547, 178, 2); + graph.addEdge(547, 243, 2); + graph.addEdge(547, 244, 2); + graph.addEdge(547, 209, 2); + graph.addEdge(547, 245, 2); + graph.addEdge(547, 131, 2); + graph.addEdge(547, 132, 2); + graph.addEdge(547, 251, 2); + graph.addEdge(547, 252, 2); + graph.addEdge(547, 253, 2); + graph.addEdge(547, 133, 2); + graph.addEdge(547, 210, 2); + graph.addEdge(547, 246, 2); + graph.addEdge(547, 323, 2); + graph.addEdge(547, 247, 2); + graph.addEdge(549, 20, 2); + graph.addEdge(549, 21, 2); + graph.addEdge(549, 21, 4); + graph.addEdge(550, 36, 2); + graph.addEdge(550, 37, 2); + graph.addEdge(550, 176, 2); + graph.addEdge(550, 177, 2); + graph.addEdge(550, 299, 2); + graph.addEdge(550, 300, 2); + graph.addEdge(550, 269, 2); + graph.addEdge(550, 270, 2); + graph.addEdge(550, 430, 2); + graph.addEdge(550, 431, 2); + graph.addEdge(550, 477, 2); + graph.addEdge(550, 478, 2); + graph.addEdge(550, 510, 2); + graph.addEdge(550, 511, 2); + graph.addEdge(550, 525, 2); + graph.addEdge(550, 479, 2); + graph.addEdge(550, 386, 2); + graph.addEdge(550, 480, 2); + graph.addEdge(550, 324, 2); + graph.addEdge(550, 325, 2); + graph.addEdge(550, 217, 2); + graph.addEdge(550, 218, 2); + graph.addEdge(550, 241, 2); + graph.addEdge(550, 242, 2); + graph.addEdge(550, 355, 2); + graph.addEdge(550, 356, 2); + graph.addEdge(550, 432, 2); + graph.addEdge(550, 219, 2); + graph.addEdge(550, 366, 2); + graph.addEdge(550, 367, 2); + graph.addEdge(550, 220, 2); + graph.addEdge(550, 368, 2); + graph.addEdge(550, 326, 2); + graph.addEdge(550, 134, 2); + graph.addEdge(550, 301, 2); + graph.addEdge(550, 444, 2); + graph.addEdge(550, 445, 2); + graph.addEdge(550, 524, 2); + graph.addEdge(550, 446, 2); + graph.addEdge(550, 178, 2); + graph.addEdge(550, 243, 2); + graph.addEdge(550, 244, 2); + graph.addEdge(550, 209, 2); + graph.addEdge(550, 245, 2); + graph.addEdge(550, 131, 2); + graph.addEdge(550, 132, 2); + graph.addEdge(550, 251, 2); + graph.addEdge(550, 252, 2); + graph.addEdge(550, 253, 2); + graph.addEdge(550, 133, 2); + graph.addEdge(550, 210, 2); + graph.addEdge(550, 246, 2); + graph.addEdge(550, 323, 2); + graph.addEdge(550, 247, 2); + graph.addEdge(550, 38, 2); + graph.addEdge(550, 41, 2); + graph.addEdge(550, 42, 2); + graph.addEdge(550, 57, 2); + graph.addEdge(550, 58, 2); + graph.addEdge(550, 92, 2); + graph.addEdge(550, 93, 2); + graph.addEdge(550, 165, 2); + graph.addEdge(550, 166, 2); + graph.addEdge(550, 274, 2); + graph.addEdge(550, 275, 2); + graph.addEdge(550, 371, 2); + graph.addEdge(550, 372, 2); + graph.addEdge(550, 461, 2); + graph.addEdge(550, 462, 2); + graph.addEdge(550, 501, 2); + graph.addEdge(550, 502, 2); + graph.addEdge(550, 440, 2); + graph.addEdge(550, 441, 2); + graph.addEdge(550, 518, 2); + graph.addEdge(550, 519, 2); + graph.addEdge(550, 520, 2); + graph.addEdge(550, 526, 2); + graph.addEdge(550, 527, 2); + graph.addEdge(550, 528, 2); + graph.addEdge(550, 529, 2); + graph.addEdge(550, 521, 2); + graph.addEdge(550, 522, 2); + graph.addEdge(550, 421, 2); + graph.addEdge(550, 442, 2); + graph.addEdge(550, 523, 2); + graph.addEdge(550, 373, 2); + graph.addEdge(550, 481, 2); + graph.addEdge(550, 374, 2); + graph.addEdge(550, 464, 2); + graph.addEdge(550, 465, 2); + graph.addEdge(550, 375, 2); + graph.addEdge(550, 484, 2); + graph.addEdge(550, 485, 2); + graph.addEdge(550, 376, 2); + graph.addEdge(550, 486, 2); + graph.addEdge(550, 487, 2); + graph.addEdge(550, 276, 2); + graph.addEdge(550, 377, 2); + graph.addEdge(550, 378, 2); + graph.addEdge(550, 488, 2); + graph.addEdge(550, 379, 2); + graph.addEdge(550, 503, 2); + graph.addEdge(550, 504, 2); + graph.addEdge(550, 512, 2); + graph.addEdge(550, 513, 2); + graph.addEdge(550, 380, 2); + graph.addEdge(550, 475, 2); + graph.addEdge(550, 476, 2); + graph.addEdge(550, 381, 2); + graph.addEdge(550, 482, 2); + graph.addEdge(550, 483, 2); + graph.addEdge(550, 382, 2); + graph.addEdge(550, 505, 2); + graph.addEdge(550, 506, 2); + graph.addEdge(550, 277, 2); + graph.addEdge(550, 398, 2); + graph.addEdge(550, 399, 2); + graph.addEdge(550, 400, 2); + graph.addEdge(550, 167, 2); + graph.addEdge(550, 272, 2); + graph.addEdge(550, 273, 2); + graph.addEdge(550, 369, 2); + graph.addEdge(550, 370, 2); + graph.addEdge(550, 463, 2); + graph.addEdge(550, 168, 2); + graph.addEdge(550, 278, 2); + graph.addEdge(550, 279, 2); + graph.addEdge(550, 169, 2); + graph.addEdge(550, 282, 2); + graph.addEdge(550, 283, 2); + graph.addEdge(550, 170, 2); + graph.addEdge(550, 280, 2); + graph.addEdge(550, 281, 2); + graph.addEdge(550, 94, 2); + graph.addEdge(550, 164, 2); + graph.addEdge(550, 95, 2); + graph.addEdge(550, 228, 2); + graph.addEdge(550, 59, 2); + graph.addEdge(550, 223, 2); + graph.addEdge(550, 224, 2); + graph.addEdge(550, 407, 2); + graph.addEdge(550, 408, 2); + graph.addEdge(550, 507, 2); + graph.addEdge(550, 409, 2); + graph.addEdge(550, 515, 2); + graph.addEdge(550, 410, 2); + graph.addEdge(550, 514, 2); + graph.addEdge(550, 60, 2); + graph.addEdge(550, 222, 2); + graph.addEdge(550, 61, 2); + graph.addEdge(550, 221, 2); + graph.addEdge(550, 62, 2); + graph.addEdge(550, 121, 2); + graph.addEdge(550, 63, 2); + graph.addEdge(550, 120, 2); + graph.addEdge(550, 43, 2); + graph.addEdge(550, 64, 2); + graph.addEdge(550, 65, 2); + graph.addEdge(550, 122, 2); + graph.addEdge(550, 66, 2); + graph.addEdge(550, 96, 2); + graph.addEdge(550, 97, 2); + graph.addEdge(550, 98, 2); + graph.addEdge(550, 231, 2); + graph.addEdge(550, 232, 2); + graph.addEdge(550, 427, 2); + graph.addEdge(550, 428, 2); + graph.addEdge(550, 429, 2); + graph.addEdge(550, 233, 2); + graph.addEdge(550, 99, 2); + graph.addEdge(550, 162, 2); + graph.addEdge(550, 44, 2); + graph.addEdge(550, 85, 2); + graph.addEdge(550, 86, 2); + graph.addEdge(550, 130, 2); + graph.addEdge(550, 87, 2); + graph.addEdge(550, 147, 2); + graph.addEdge(550, 148, 2); + graph.addEdge(550, 268, 2); + graph.addEdge(550, 88, 2); + graph.addEdge(550, 225, 2); + graph.addEdge(550, 226, 2); + graph.addEdge(550, 411, 2); + graph.addEdge(550, 412, 2); + graph.addEdge(550, 516, 2); + graph.addEdge(550, 413, 2); + graph.addEdge(550, 353, 2); + graph.addEdge(550, 354, 2); + graph.addEdge(550, 414, 2); + graph.addEdge(550, 227, 2); + graph.addEdge(550, 415, 2); + graph.addEdge(550, 45, 2); + graph.addEdge(550, 67, 2); + graph.addEdge(550, 68, 2); + graph.addEdge(550, 69, 2); + graph.addEdge(551, 123, 1); + graph.addEdge(551, 123, 2); + graph.addEdge(551, 124, 2); + graph.addEdge(551, 229, 2); + graph.addEdge(551, 230, 2); + graph.addEdge(551, 353, 2); + graph.addEdge(551, 354, 2); + graph.addEdge(551, 440, 2); + graph.addEdge(551, 441, 2); + graph.addEdge(551, 518, 2); + graph.addEdge(551, 519, 2); + graph.addEdge(551, 251, 2); + graph.addEdge(551, 252, 2); + graph.addEdge(551, 217, 2); + graph.addEdge(551, 218, 2); + graph.addEdge(551, 241, 2); + graph.addEdge(551, 242, 2); + graph.addEdge(551, 355, 2); + graph.addEdge(551, 356, 2); + graph.addEdge(551, 432, 2); + graph.addEdge(551, 219, 2); + graph.addEdge(551, 366, 2); + graph.addEdge(551, 367, 2); + graph.addEdge(551, 220, 2); + graph.addEdge(551, 368, 2); + graph.addEdge(551, 253, 2); + graph.addEdge(551, 386, 2); + graph.addEdge(551, 520, 2); + graph.addEdge(551, 526, 2); + graph.addEdge(551, 527, 2); + graph.addEdge(551, 528, 2); + graph.addEdge(551, 529, 2); + graph.addEdge(551, 521, 2); + graph.addEdge(551, 522, 2); + graph.addEdge(551, 421, 2); + graph.addEdge(551, 442, 2); + graph.addEdge(551, 523, 2); + graph.addEdge(551, 125, 2); + graph.addEdge(551, 209, 2); + graph.addEdge(532, 551, 4); + graph.removeEdge(532, 123, 2); + graph.removeEdge(532, 124, 2); + graph.removeEdge(532, 229, 2); + graph.removeEdge(532, 230, 2); + graph.removeEdge(532, 353, 2); + graph.removeEdge(532, 354, 2); + graph.removeEdge(532, 440, 2); + graph.removeEdge(532, 441, 2); + graph.removeEdge(532, 518, 2); + graph.removeEdge(532, 519, 2); + graph.removeEdge(532, 251, 2); + graph.removeEdge(532, 252, 2); + graph.removeEdge(532, 217, 2); + graph.removeEdge(532, 218, 2); + graph.removeEdge(532, 241, 2); + graph.removeEdge(532, 242, 2); + graph.removeEdge(532, 355, 2); + graph.removeEdge(532, 356, 2); + graph.removeEdge(532, 432, 2); + graph.removeEdge(532, 219, 2); + graph.removeEdge(532, 366, 2); + graph.removeEdge(532, 367, 2); + graph.removeEdge(532, 220, 2); + graph.removeEdge(532, 368, 2); + graph.removeEdge(532, 253, 2); + graph.removeEdge(532, 386, 2); + graph.removeEdge(532, 520, 2); + graph.removeEdge(532, 526, 2); + graph.removeEdge(532, 527, 2); + graph.removeEdge(532, 528, 2); + graph.removeEdge(532, 529, 2); + graph.removeEdge(532, 521, 2); + graph.removeEdge(532, 522, 2); + graph.removeEdge(532, 421, 2); + graph.removeEdge(532, 442, 2); + graph.removeEdge(532, 523, 2); + graph.removeEdge(532, 125, 2); + graph.removeEdge(532, 209, 2); + graph.addEdge(535, 551, 4); + graph.removeEdge(535, 123, 2); + graph.removeEdge(535, 124, 2); + graph.removeEdge(535, 229, 2); + graph.removeEdge(535, 230, 2); + graph.removeEdge(535, 353, 2); + graph.removeEdge(535, 354, 2); + graph.removeEdge(535, 440, 2); + graph.removeEdge(535, 441, 2); + graph.removeEdge(535, 518, 2); + graph.removeEdge(535, 519, 2); + graph.removeEdge(535, 251, 2); + graph.removeEdge(535, 252, 2); + graph.removeEdge(535, 217, 2); + graph.removeEdge(535, 218, 2); + graph.removeEdge(535, 241, 2); + graph.removeEdge(535, 242, 2); + graph.removeEdge(535, 355, 2); + graph.removeEdge(535, 356, 2); + graph.removeEdge(535, 432, 2); + graph.removeEdge(535, 219, 2); + graph.removeEdge(535, 366, 2); + graph.removeEdge(535, 367, 2); + graph.removeEdge(535, 220, 2); + graph.removeEdge(535, 368, 2); + graph.removeEdge(535, 253, 2); + graph.removeEdge(535, 386, 2); + graph.removeEdge(535, 520, 2); + graph.removeEdge(535, 526, 2); + graph.removeEdge(535, 527, 2); + graph.removeEdge(535, 528, 2); + graph.removeEdge(535, 529, 2); + graph.removeEdge(535, 521, 2); + graph.removeEdge(535, 522, 2); + graph.removeEdge(535, 421, 2); + graph.removeEdge(535, 442, 2); + graph.removeEdge(535, 523, 2); + graph.removeEdge(535, 125, 2); + graph.removeEdge(535, 209, 2); + graph.addEdge(538, 551, 4); + graph.removeEdge(538, 123, 2); + graph.removeEdge(538, 124, 2); + graph.removeEdge(538, 229, 2); + graph.removeEdge(538, 230, 2); + graph.removeEdge(538, 353, 2); + graph.removeEdge(538, 354, 2); + graph.removeEdge(538, 440, 2); + graph.removeEdge(538, 441, 2); + graph.removeEdge(538, 518, 2); + graph.removeEdge(538, 519, 2); + graph.removeEdge(538, 251, 2); + graph.removeEdge(538, 252, 2); + graph.removeEdge(538, 217, 2); + graph.removeEdge(538, 218, 2); + graph.removeEdge(538, 241, 2); + graph.removeEdge(538, 242, 2); + graph.removeEdge(538, 355, 2); + graph.removeEdge(538, 356, 2); + graph.removeEdge(538, 432, 2); + graph.removeEdge(538, 219, 2); + graph.removeEdge(538, 366, 2); + graph.removeEdge(538, 367, 2); + graph.removeEdge(538, 220, 2); + graph.removeEdge(538, 368, 2); + graph.removeEdge(538, 253, 2); + graph.removeEdge(538, 386, 2); + graph.removeEdge(538, 520, 2); + graph.removeEdge(538, 526, 2); + graph.removeEdge(538, 527, 2); + graph.removeEdge(538, 528, 2); + graph.removeEdge(538, 529, 2); + graph.removeEdge(538, 521, 2); + graph.removeEdge(538, 522, 2); + graph.removeEdge(538, 421, 2); + graph.removeEdge(538, 442, 2); + graph.removeEdge(538, 523, 2); + graph.removeEdge(538, 125, 2); + graph.removeEdge(538, 209, 2); + graph.addEdge(541, 551, 4); + graph.removeEdge(541, 123, 2); + graph.removeEdge(541, 124, 2); + graph.removeEdge(541, 229, 2); + graph.removeEdge(541, 230, 2); + graph.removeEdge(541, 353, 2); + graph.removeEdge(541, 354, 2); + graph.removeEdge(541, 440, 2); + graph.removeEdge(541, 441, 2); + graph.removeEdge(541, 518, 2); + graph.removeEdge(541, 519, 2); + graph.removeEdge(541, 251, 2); + graph.removeEdge(541, 252, 2); + graph.removeEdge(541, 217, 2); + graph.removeEdge(541, 218, 2); + graph.removeEdge(541, 241, 2); + graph.removeEdge(541, 242, 2); + graph.removeEdge(541, 355, 2); + graph.removeEdge(541, 356, 2); + graph.removeEdge(541, 432, 2); + graph.removeEdge(541, 219, 2); + graph.removeEdge(541, 366, 2); + graph.removeEdge(541, 367, 2); + graph.removeEdge(541, 220, 2); + graph.removeEdge(541, 368, 2); + graph.removeEdge(541, 253, 2); + graph.removeEdge(541, 386, 2); + graph.removeEdge(541, 520, 2); + graph.removeEdge(541, 526, 2); + graph.removeEdge(541, 527, 2); + graph.removeEdge(541, 528, 2); + graph.removeEdge(541, 529, 2); + graph.removeEdge(541, 521, 2); + graph.removeEdge(541, 522, 2); + graph.removeEdge(541, 421, 2); + graph.removeEdge(541, 442, 2); + graph.removeEdge(541, 523, 2); + graph.removeEdge(541, 125, 2); + graph.removeEdge(541, 209, 2); + graph.addEdge(551, 89, 1); + graph.addEdge(551, 89, 2); + graph.addEdge(551, 90, 2); + graph.addEdge(551, 230, 2); + graph.addEdge(551, 356, 2); + graph.addEdge(551, 219, 2); + graph.addEdge(551, 367, 2); + graph.addEdge(551, 528, 2); + graph.addEdge(551, 91, 2); + graph.removeEdge(532, 89, 2); + graph.removeEdge(532, 90, 2); + graph.removeEdge(532, 91, 2); + graph.removeEdge(535, 89, 2); + graph.removeEdge(535, 90, 2); + graph.removeEdge(535, 91, 2); + graph.removeEdge(538, 89, 2); + graph.removeEdge(538, 90, 2); + graph.removeEdge(538, 91, 2); + graph.removeEdge(541, 89, 2); + graph.removeEdge(541, 90, 2); + graph.removeEdge(541, 91, 2); + graph.addEdge(551, 163, 1); + graph.addEdge(551, 163, 2); + graph.removeEdge(532, 163, 2); + graph.removeEdge(535, 163, 2); + graph.removeEdge(538, 163, 2); + graph.removeEdge(541, 163, 2); + graph.addEdge(551, 126, 1); + graph.addEdge(551, 126, 2); + graph.addEdge(551, 127, 2); + graph.addEdge(551, 202, 2); + graph.addEdge(551, 203, 2); + graph.addEdge(551, 307, 2); + graph.addEdge(551, 204, 2); + graph.addEdge(551, 231, 2); + graph.addEdge(551, 232, 2); + graph.addEdge(551, 427, 2); + graph.addEdge(551, 428, 2); + graph.addEdge(551, 429, 2); + graph.addEdge(551, 134, 2); + graph.addEdge(551, 233, 2); + graph.addEdge(551, 205, 2); + graph.addEdge(551, 162, 2); + graph.addEdge(551, 206, 2); + graph.addEdge(551, 383, 2); + graph.addEdge(551, 384, 2); + graph.addEdge(551, 385, 2); + graph.addEdge(551, 474, 2); + graph.addEdge(551, 207, 2); + graph.addEdge(551, 323, 2); + graph.addEdge(551, 208, 2); + graph.addEdge(551, 308, 2); + graph.addEdge(551, 309, 2); + graph.addEdge(551, 403, 2); + graph.addEdge(551, 404, 2); + graph.addEdge(551, 405, 2); + graph.addEdge(551, 210, 2); + graph.addEdge(551, 406, 2); + graph.addEdge(551, 310, 2); + graph.addEdge(551, 121, 2); + graph.addEdge(551, 311, 2); + graph.addEdge(551, 401, 2); + graph.addEdge(551, 402, 2); + graph.addEdge(551, 128, 2); + graph.addEdge(551, 173, 2); + graph.addEdge(551, 174, 2); + graph.addEdge(551, 175, 2); + graph.addEdge(551, 305, 2); + graph.addEdge(551, 306, 2); + graph.addEdge(551, 391, 2); + graph.addEdge(551, 129, 2); + graph.addEdge(551, 131, 2); + graph.addEdge(551, 132, 2); + graph.addEdge(551, 253, 2); + graph.addEdge(551, 133, 2); + graph.removeEdge(532, 126, 2); + graph.removeEdge(532, 127, 2); + graph.removeEdge(532, 202, 2); + graph.removeEdge(532, 203, 2); + graph.removeEdge(532, 307, 2); + graph.removeEdge(532, 204, 2); + graph.removeEdge(532, 231, 2); + graph.removeEdge(532, 232, 2); + graph.removeEdge(532, 427, 2); + graph.removeEdge(532, 428, 2); + graph.removeEdge(532, 429, 2); + graph.removeEdge(532, 134, 2); + graph.removeEdge(532, 233, 2); + graph.removeEdge(532, 205, 2); + graph.removeEdge(532, 162, 2); + graph.removeEdge(532, 206, 2); + graph.removeEdge(532, 383, 2); + graph.removeEdge(532, 384, 2); + graph.removeEdge(532, 385, 2); + graph.removeEdge(532, 474, 2); + graph.removeEdge(532, 207, 2); + graph.removeEdge(532, 323, 2); + graph.removeEdge(532, 208, 2); + graph.removeEdge(532, 308, 2); + graph.removeEdge(532, 309, 2); + graph.removeEdge(532, 403, 2); + graph.removeEdge(532, 404, 2); + graph.removeEdge(532, 405, 2); + graph.removeEdge(532, 210, 2); + graph.removeEdge(532, 406, 2); + graph.removeEdge(532, 310, 2); + graph.removeEdge(532, 121, 2); + graph.removeEdge(532, 311, 2); + graph.removeEdge(532, 401, 2); + graph.removeEdge(532, 402, 2); + graph.removeEdge(532, 128, 2); + graph.removeEdge(532, 173, 2); + graph.removeEdge(532, 174, 2); + graph.removeEdge(532, 175, 2); + graph.removeEdge(532, 305, 2); + graph.removeEdge(532, 306, 2); + graph.removeEdge(532, 391, 2); + graph.removeEdge(532, 129, 2); + graph.removeEdge(532, 131, 2); + graph.removeEdge(532, 132, 2); + graph.removeEdge(532, 133, 2); + graph.removeEdge(535, 126, 2); + graph.removeEdge(535, 127, 2); + graph.removeEdge(535, 202, 2); + graph.removeEdge(535, 203, 2); + graph.removeEdge(535, 307, 2); + graph.removeEdge(535, 204, 2); + graph.removeEdge(535, 231, 2); + graph.removeEdge(535, 232, 2); + graph.removeEdge(535, 427, 2); + graph.removeEdge(535, 428, 2); + graph.removeEdge(535, 429, 2); + graph.removeEdge(535, 134, 2); + graph.removeEdge(535, 233, 2); + graph.removeEdge(535, 205, 2); + graph.removeEdge(535, 162, 2); + graph.removeEdge(535, 206, 2); + graph.removeEdge(535, 383, 2); + graph.removeEdge(535, 384, 2); + graph.removeEdge(535, 385, 2); + graph.removeEdge(535, 474, 2); + graph.removeEdge(535, 207, 2); + graph.removeEdge(535, 323, 2); + graph.removeEdge(535, 208, 2); + graph.removeEdge(535, 308, 2); + graph.removeEdge(535, 309, 2); + graph.removeEdge(535, 403, 2); + graph.removeEdge(535, 404, 2); + graph.removeEdge(535, 405, 2); + graph.removeEdge(535, 210, 2); + graph.removeEdge(535, 406, 2); + graph.removeEdge(535, 310, 2); + graph.removeEdge(535, 121, 2); + graph.removeEdge(535, 311, 2); + graph.removeEdge(535, 401, 2); + graph.removeEdge(535, 402, 2); + graph.removeEdge(535, 128, 2); + graph.removeEdge(535, 173, 2); + graph.removeEdge(535, 174, 2); + graph.removeEdge(535, 175, 2); + graph.removeEdge(535, 305, 2); + graph.removeEdge(535, 306, 2); + graph.removeEdge(535, 391, 2); + graph.removeEdge(535, 129, 2); + graph.removeEdge(535, 131, 2); + graph.removeEdge(535, 132, 2); + graph.removeEdge(535, 133, 2); + graph.removeEdge(538, 126, 2); + graph.removeEdge(538, 127, 2); + graph.removeEdge(538, 202, 2); + graph.removeEdge(538, 203, 2); + graph.removeEdge(538, 307, 2); + graph.removeEdge(538, 204, 2); + graph.removeEdge(538, 231, 2); + graph.removeEdge(538, 232, 2); + graph.removeEdge(538, 427, 2); + graph.removeEdge(538, 428, 2); + graph.removeEdge(538, 429, 2); + graph.removeEdge(538, 134, 2); + graph.removeEdge(538, 233, 2); + graph.removeEdge(538, 205, 2); + graph.removeEdge(538, 162, 2); + graph.removeEdge(538, 206, 2); + graph.removeEdge(538, 383, 2); + graph.removeEdge(538, 384, 2); + graph.removeEdge(538, 385, 2); + graph.removeEdge(538, 474, 2); + graph.removeEdge(538, 207, 2); + graph.removeEdge(538, 323, 2); + graph.removeEdge(538, 208, 2); + graph.removeEdge(538, 308, 2); + graph.removeEdge(538, 309, 2); + graph.removeEdge(538, 403, 2); + graph.removeEdge(538, 404, 2); + graph.removeEdge(538, 405, 2); + graph.removeEdge(538, 210, 2); + graph.removeEdge(538, 406, 2); + graph.removeEdge(538, 310, 2); + graph.removeEdge(538, 121, 2); + graph.removeEdge(538, 311, 2); + graph.removeEdge(538, 401, 2); + graph.removeEdge(538, 402, 2); + graph.removeEdge(538, 128, 2); + graph.removeEdge(538, 173, 2); + graph.removeEdge(538, 174, 2); + graph.removeEdge(538, 175, 2); + graph.removeEdge(538, 305, 2); + graph.removeEdge(538, 306, 2); + graph.removeEdge(538, 391, 2); + graph.removeEdge(538, 129, 2); + graph.removeEdge(538, 131, 2); + graph.removeEdge(538, 132, 2); + graph.removeEdge(538, 133, 2); + graph.removeEdge(541, 126, 2); + graph.removeEdge(541, 127, 2); + graph.removeEdge(541, 202, 2); + graph.removeEdge(541, 203, 2); + graph.removeEdge(541, 307, 2); + graph.removeEdge(541, 204, 2); + graph.removeEdge(541, 231, 2); + graph.removeEdge(541, 232, 2); + graph.removeEdge(541, 427, 2); + graph.removeEdge(541, 428, 2); + graph.removeEdge(541, 429, 2); + graph.removeEdge(541, 134, 2); + graph.removeEdge(541, 233, 2); + graph.removeEdge(541, 205, 2); + graph.removeEdge(541, 162, 2); + graph.removeEdge(541, 206, 2); + graph.removeEdge(541, 383, 2); + graph.removeEdge(541, 384, 2); + graph.removeEdge(541, 385, 2); + graph.removeEdge(541, 474, 2); + graph.removeEdge(541, 207, 2); + graph.removeEdge(541, 323, 2); + graph.removeEdge(541, 208, 2); + graph.removeEdge(541, 308, 2); + graph.removeEdge(541, 309, 2); + graph.removeEdge(541, 403, 2); + graph.removeEdge(541, 404, 2); + graph.removeEdge(541, 405, 2); + graph.removeEdge(541, 210, 2); + graph.removeEdge(541, 406, 2); + graph.removeEdge(541, 310, 2); + graph.removeEdge(541, 121, 2); + graph.removeEdge(541, 311, 2); + graph.removeEdge(541, 401, 2); + graph.removeEdge(541, 402, 2); + graph.removeEdge(541, 128, 2); + graph.removeEdge(541, 173, 2); + graph.removeEdge(541, 174, 2); + graph.removeEdge(541, 175, 2); + graph.removeEdge(541, 305, 2); + graph.removeEdge(541, 306, 2); + graph.removeEdge(541, 391, 2); + graph.removeEdge(541, 129, 2); + graph.removeEdge(541, 131, 2); + graph.removeEdge(541, 132, 2); + graph.removeEdge(541, 133, 2); + graph.addEdge(551, 179, 1); + graph.addEdge(551, 179, 2); + graph.addEdge(551, 180, 2); + graph.addEdge(551, 292, 2); + graph.addEdge(551, 293, 2); + graph.addEdge(551, 377, 2); + graph.addEdge(551, 378, 2); + graph.addEdge(551, 488, 2); + graph.addEdge(551, 379, 2); + graph.addEdge(551, 503, 2); + graph.addEdge(551, 504, 2); + graph.addEdge(551, 512, 2); + graph.addEdge(551, 513, 2); + graph.addEdge(551, 380, 2); + graph.addEdge(551, 475, 2); + graph.addEdge(551, 476, 2); + graph.addEdge(551, 381, 2); + graph.addEdge(551, 482, 2); + graph.addEdge(551, 483, 2); + graph.addEdge(551, 382, 2); + graph.addEdge(551, 505, 2); + graph.addEdge(551, 506, 2); + graph.addEdge(551, 294, 2); + graph.addEdge(551, 467, 2); + graph.addEdge(551, 468, 2); + graph.addEdge(551, 295, 2); + graph.addEdge(551, 452, 2); + graph.addEdge(551, 296, 2); + graph.addEdge(551, 466, 2); + graph.addEdge(551, 297, 2); + graph.addEdge(551, 451, 2); + graph.addEdge(551, 298, 2); + graph.addEdge(551, 447, 2); + graph.addEdge(551, 448, 2); + graph.addEdge(551, 449, 2); + graph.addEdge(551, 398, 2); + graph.addEdge(551, 399, 2); + graph.addEdge(551, 518, 2); + graph.addEdge(551, 241, 2); + graph.addEdge(551, 366, 2); + graph.addEdge(551, 367, 2); + graph.addEdge(551, 368, 2); + graph.addEdge(551, 442, 2); + graph.addEdge(551, 400, 2); + graph.addEdge(551, 450, 2); + graph.addEdge(551, 165, 2); + graph.addEdge(551, 166, 2); + graph.addEdge(551, 274, 2); + graph.addEdge(551, 275, 2); + graph.addEdge(551, 371, 2); + graph.addEdge(551, 372, 2); + graph.addEdge(551, 461, 2); + graph.addEdge(551, 462, 2); + graph.addEdge(551, 501, 2); + graph.addEdge(551, 502, 2); + graph.addEdge(551, 373, 2); + graph.addEdge(551, 481, 2); + graph.addEdge(551, 374, 2); + graph.addEdge(551, 464, 2); + graph.addEdge(551, 465, 2); + graph.addEdge(551, 375, 2); + graph.addEdge(551, 484, 2); + graph.addEdge(551, 485, 2); + graph.addEdge(551, 376, 2); + graph.addEdge(551, 486, 2); + graph.addEdge(551, 487, 2); + graph.addEdge(551, 276, 2); + graph.addEdge(551, 277, 2); + graph.addEdge(551, 167, 2); + graph.addEdge(551, 272, 2); + graph.addEdge(551, 273, 2); + graph.addEdge(551, 369, 2); + graph.addEdge(551, 370, 2); + graph.addEdge(551, 463, 2); + graph.addEdge(551, 168, 2); + graph.addEdge(551, 278, 2); + graph.addEdge(551, 279, 2); + graph.addEdge(551, 169, 2); + graph.addEdge(551, 282, 2); + graph.addEdge(551, 283, 2); + graph.addEdge(551, 170, 2); + graph.addEdge(551, 280, 2); + graph.addEdge(551, 281, 2); + graph.addEdge(551, 181, 2); + graph.addEdge(551, 320, 2); + graph.addEdge(551, 182, 2); + graph.addEdge(551, 183, 2); + graph.addEdge(551, 289, 2); + graph.addEdge(551, 290, 2); + graph.addEdge(551, 291, 2); + graph.addEdge(551, 233, 2); + graph.addEdge(551, 205, 2); + graph.addEdge(551, 311, 2); + graph.addEdge(551, 402, 2); + graph.addEdge(551, 184, 2); + graph.addEdge(551, 302, 2); + graph.addEdge(551, 303, 2); + graph.addEdge(551, 304, 2); + graph.addEdge(551, 211, 2); + graph.addEdge(551, 212, 2); + graph.addEdge(551, 213, 2); + graph.addEdge(551, 332, 2); + graph.addEdge(551, 333, 2); + graph.addEdge(551, 334, 2); + graph.addEdge(551, 335, 2); + graph.addEdge(551, 397, 2); + graph.addEdge(551, 214, 2); + graph.addEdge(551, 185, 2); + graph.addEdge(551, 284, 2); + graph.addEdge(551, 285, 2); + graph.addEdge(551, 186, 2); + graph.addEdge(551, 322, 2); + graph.addEdge(551, 187, 2); + graph.addEdge(551, 286, 2); + graph.addEdge(551, 287, 2); + graph.addEdge(551, 288, 2); + graph.addEdge(551, 416, 2); + graph.addEdge(551, 417, 2); + graph.addEdge(551, 517, 2); + graph.addEdge(551, 418, 2); + graph.addEdge(551, 327, 2); + graph.addEdge(551, 188, 2); + graph.addEdge(551, 344, 2); + graph.addEdge(551, 345, 2); + graph.addEdge(551, 346, 2); + graph.addEdge(551, 236, 2); + graph.addEdge(551, 237, 2); + graph.addEdge(551, 122, 2); + graph.addEdge(551, 238, 2); + graph.addEdge(551, 254, 2); + graph.addEdge(551, 255, 2); + graph.addEdge(551, 239, 2); + graph.addEdge(551, 240, 2); + graph.addEdge(551, 189, 2); + graph.addEdge(551, 312, 2); + graph.addEdge(551, 313, 2); + graph.addEdge(551, 159, 2); + graph.addEdge(551, 160, 2); + graph.addEdge(551, 161, 2); + graph.addEdge(551, 314, 2); + graph.addEdge(551, 315, 2); + graph.addEdge(551, 190, 2); + graph.addEdge(551, 107, 2); + graph.addEdge(551, 108, 2); + graph.addEdge(551, 109, 2); + graph.addEdge(551, 110, 2); + graph.addEdge(551, 191, 2); + graph.addEdge(551, 336, 2); + graph.addEdge(551, 337, 2); + graph.addEdge(551, 471, 2); + graph.addEdge(551, 472, 2); + graph.addEdge(551, 473, 2); + graph.addEdge(551, 338, 2); + graph.addEdge(551, 339, 2); + graph.addEdge(551, 489, 2); + graph.addEdge(551, 490, 2); + graph.addEdge(551, 491, 2); + graph.addEdge(551, 340, 2); + graph.addEdge(551, 422, 2); + graph.addEdge(551, 423, 2); + graph.addEdge(551, 424, 2); + graph.addEdge(551, 341, 2); + graph.addEdge(551, 494, 2); + graph.addEdge(551, 495, 2); + graph.addEdge(551, 496, 2); + graph.addEdge(551, 342, 2); + graph.addEdge(551, 343, 2); + graph.addEdge(551, 192, 2); + graph.addEdge(551, 321, 2); + graph.addEdge(551, 193, 2); + graph.addEdge(551, 347, 2); + graph.addEdge(551, 348, 2); + graph.addEdge(551, 469, 2); + graph.addEdge(551, 470, 2); + graph.addEdge(551, 508, 2); + graph.addEdge(551, 509, 2); + graph.addEdge(551, 349, 2); + graph.addEdge(551, 419, 2); + graph.addEdge(551, 420, 2); + graph.addEdge(551, 350, 2); + graph.addEdge(551, 497, 2); + graph.addEdge(551, 351, 2); + graph.addEdge(551, 425, 2); + graph.addEdge(551, 426, 2); + graph.addEdge(551, 352, 2); + graph.addEdge(551, 492, 2); + graph.addEdge(551, 493, 2); + graph.addEdge(551, 194, 2); + graph.addEdge(551, 316, 2); + graph.addEdge(551, 317, 2); + graph.addEdge(551, 392, 2); + graph.addEdge(551, 393, 2); + graph.addEdge(551, 318, 2); + graph.addEdge(551, 319, 2); + graph.addEdge(551, 195, 2); + graph.addEdge(551, 196, 2); + graph.addEdge(551, 197, 2); + graph.addEdge(551, 387, 2); + graph.addEdge(551, 388, 2); + graph.addEdge(551, 498, 2); + graph.addEdge(551, 499, 2); + graph.addEdge(551, 500, 2); + graph.addEdge(551, 389, 2); + graph.addEdge(551, 390, 2); + graph.addEdge(551, 198, 2); + graph.addEdge(551, 199, 2); + graph.addEdge(551, 328, 2); + graph.addEdge(551, 329, 2); + graph.addEdge(551, 394, 2); + graph.addEdge(551, 395, 2); + graph.addEdge(551, 396, 2); + graph.addEdge(551, 330, 2); + graph.addEdge(551, 331, 2); + graph.addEdge(551, 200, 2); + graph.addEdge(551, 201, 2); + graph.removeEdge(532, 179, 2); + graph.removeEdge(532, 180, 2); + graph.removeEdge(532, 292, 2); + graph.removeEdge(532, 293, 2); + graph.removeEdge(532, 377, 2); + graph.removeEdge(532, 378, 2); + graph.removeEdge(532, 488, 2); + graph.removeEdge(532, 379, 2); + graph.removeEdge(532, 503, 2); + graph.removeEdge(532, 504, 2); + graph.removeEdge(532, 512, 2); + graph.removeEdge(532, 513, 2); + graph.removeEdge(532, 380, 2); + graph.removeEdge(532, 475, 2); + graph.removeEdge(532, 476, 2); + graph.removeEdge(532, 381, 2); + graph.removeEdge(532, 482, 2); + graph.removeEdge(532, 483, 2); + graph.removeEdge(532, 382, 2); + graph.removeEdge(532, 505, 2); + graph.removeEdge(532, 506, 2); + graph.removeEdge(532, 294, 2); + graph.removeEdge(532, 467, 2); + graph.removeEdge(532, 468, 2); + graph.removeEdge(532, 295, 2); + graph.removeEdge(532, 452, 2); + graph.removeEdge(532, 296, 2); + graph.removeEdge(532, 466, 2); + graph.removeEdge(532, 297, 2); + graph.removeEdge(532, 451, 2); + graph.removeEdge(532, 298, 2); + graph.removeEdge(532, 447, 2); + graph.removeEdge(532, 448, 2); + graph.removeEdge(532, 449, 2); + graph.removeEdge(532, 398, 2); + graph.removeEdge(532, 399, 2); + graph.removeEdge(532, 400, 2); + graph.removeEdge(532, 450, 2); + graph.removeEdge(532, 165, 2); + graph.removeEdge(532, 166, 2); + graph.removeEdge(532, 274, 2); + graph.removeEdge(532, 275, 2); + graph.removeEdge(532, 371, 2); + graph.removeEdge(532, 372, 2); + graph.removeEdge(532, 461, 2); + graph.removeEdge(532, 462, 2); + graph.removeEdge(532, 501, 2); + graph.removeEdge(532, 502, 2); + graph.removeEdge(532, 373, 2); + graph.removeEdge(532, 481, 2); + graph.removeEdge(532, 374, 2); + graph.removeEdge(532, 464, 2); + graph.removeEdge(532, 465, 2); + graph.removeEdge(532, 375, 2); + graph.removeEdge(532, 484, 2); + graph.removeEdge(532, 485, 2); + graph.removeEdge(532, 376, 2); + graph.removeEdge(532, 486, 2); + graph.removeEdge(532, 487, 2); + graph.removeEdge(532, 276, 2); + graph.removeEdge(532, 277, 2); + graph.removeEdge(532, 167, 2); + graph.removeEdge(532, 272, 2); + graph.removeEdge(532, 273, 2); + graph.removeEdge(532, 369, 2); + graph.removeEdge(532, 370, 2); + graph.removeEdge(532, 463, 2); + graph.removeEdge(532, 168, 2); + graph.removeEdge(532, 278, 2); + graph.removeEdge(532, 279, 2); + graph.removeEdge(532, 169, 2); + graph.removeEdge(532, 282, 2); + graph.removeEdge(532, 283, 2); + graph.removeEdge(532, 170, 2); + graph.removeEdge(532, 280, 2); + graph.removeEdge(532, 281, 2); + graph.removeEdge(532, 181, 2); + graph.removeEdge(532, 320, 2); + graph.removeEdge(532, 182, 2); + graph.removeEdge(532, 183, 2); + graph.removeEdge(532, 289, 2); + graph.removeEdge(532, 290, 2); + graph.removeEdge(532, 291, 2); + graph.removeEdge(532, 184, 2); + graph.removeEdge(532, 302, 2); + graph.removeEdge(532, 303, 2); + graph.removeEdge(532, 304, 2); + graph.removeEdge(532, 211, 2); + graph.removeEdge(532, 212, 2); + graph.removeEdge(532, 213, 2); + graph.removeEdge(532, 332, 2); + graph.removeEdge(532, 333, 2); + graph.removeEdge(532, 334, 2); + graph.removeEdge(532, 335, 2); + graph.removeEdge(532, 397, 2); + graph.removeEdge(532, 214, 2); + graph.removeEdge(532, 185, 2); + graph.removeEdge(532, 284, 2); + graph.removeEdge(532, 285, 2); + graph.removeEdge(532, 186, 2); + graph.removeEdge(532, 322, 2); + graph.removeEdge(532, 187, 2); + graph.removeEdge(532, 286, 2); + graph.removeEdge(532, 287, 2); + graph.removeEdge(532, 288, 2); + graph.removeEdge(532, 416, 2); + graph.removeEdge(532, 417, 2); + graph.removeEdge(532, 517, 2); + graph.removeEdge(532, 418, 2); + graph.removeEdge(532, 327, 2); + graph.removeEdge(532, 188, 2); + graph.removeEdge(532, 344, 2); + graph.removeEdge(532, 345, 2); + graph.removeEdge(532, 346, 2); + graph.removeEdge(532, 236, 2); + graph.removeEdge(532, 237, 2); + graph.removeEdge(532, 122, 2); + graph.removeEdge(532, 238, 2); + graph.removeEdge(532, 254, 2); + graph.removeEdge(532, 255, 2); + graph.removeEdge(532, 239, 2); + graph.removeEdge(532, 240, 2); + graph.removeEdge(532, 189, 2); + graph.removeEdge(532, 312, 2); + graph.removeEdge(532, 313, 2); + graph.removeEdge(532, 159, 2); + graph.removeEdge(532, 160, 2); + graph.removeEdge(532, 161, 2); + graph.removeEdge(532, 314, 2); + graph.removeEdge(532, 315, 2); + graph.removeEdge(532, 190, 2); + graph.removeEdge(532, 107, 2); + graph.removeEdge(532, 108, 2); + graph.removeEdge(532, 109, 2); + graph.removeEdge(532, 110, 2); + graph.removeEdge(532, 191, 2); + graph.removeEdge(532, 336, 2); + graph.removeEdge(532, 337, 2); + graph.removeEdge(532, 471, 2); + graph.removeEdge(532, 472, 2); + graph.removeEdge(532, 473, 2); + graph.removeEdge(532, 338, 2); + graph.removeEdge(532, 339, 2); + graph.removeEdge(532, 489, 2); + graph.removeEdge(532, 490, 2); + graph.removeEdge(532, 491, 2); + graph.removeEdge(532, 340, 2); + graph.removeEdge(532, 422, 2); + graph.removeEdge(532, 423, 2); + graph.removeEdge(532, 424, 2); + graph.removeEdge(532, 341, 2); + graph.removeEdge(532, 494, 2); + graph.removeEdge(532, 495, 2); + graph.removeEdge(532, 496, 2); + graph.removeEdge(532, 342, 2); + graph.removeEdge(532, 343, 2); + graph.removeEdge(532, 192, 2); + graph.removeEdge(532, 321, 2); + graph.removeEdge(532, 193, 2); + graph.removeEdge(532, 347, 2); + graph.removeEdge(532, 348, 2); + graph.removeEdge(532, 469, 2); + graph.removeEdge(532, 470, 2); + graph.removeEdge(532, 508, 2); + graph.removeEdge(532, 509, 2); + graph.removeEdge(532, 349, 2); + graph.removeEdge(532, 419, 2); + graph.removeEdge(532, 420, 2); + graph.removeEdge(532, 350, 2); + graph.removeEdge(532, 497, 2); + graph.removeEdge(532, 351, 2); + graph.removeEdge(532, 425, 2); + graph.removeEdge(532, 426, 2); + graph.removeEdge(532, 352, 2); + graph.removeEdge(532, 492, 2); + graph.removeEdge(532, 493, 2); + graph.removeEdge(532, 194, 2); + graph.removeEdge(532, 316, 2); + graph.removeEdge(532, 317, 2); + graph.removeEdge(532, 392, 2); + graph.removeEdge(532, 393, 2); + graph.removeEdge(532, 318, 2); + graph.removeEdge(532, 319, 2); + graph.removeEdge(532, 195, 2); + graph.removeEdge(532, 196, 2); + graph.removeEdge(532, 197, 2); + graph.removeEdge(532, 387, 2); + graph.removeEdge(532, 388, 2); + graph.removeEdge(532, 498, 2); + graph.removeEdge(532, 499, 2); + graph.removeEdge(532, 500, 2); + graph.removeEdge(532, 389, 2); + graph.removeEdge(532, 390, 2); + graph.removeEdge(532, 198, 2); + graph.removeEdge(532, 199, 2); + graph.removeEdge(532, 328, 2); + graph.removeEdge(532, 329, 2); + graph.removeEdge(532, 394, 2); + graph.removeEdge(532, 395, 2); + graph.removeEdge(532, 396, 2); + graph.removeEdge(532, 330, 2); + graph.removeEdge(532, 331, 2); + graph.removeEdge(532, 200, 2); + graph.removeEdge(532, 201, 2); + graph.removeEdge(535, 179, 2); + graph.removeEdge(535, 180, 2); + graph.removeEdge(535, 292, 2); + graph.removeEdge(535, 293, 2); + graph.removeEdge(535, 377, 2); + graph.removeEdge(535, 378, 2); + graph.removeEdge(535, 488, 2); + graph.removeEdge(535, 379, 2); + graph.removeEdge(535, 503, 2); + graph.removeEdge(535, 504, 2); + graph.removeEdge(535, 512, 2); + graph.removeEdge(535, 513, 2); + graph.removeEdge(535, 380, 2); + graph.removeEdge(535, 475, 2); + graph.removeEdge(535, 476, 2); + graph.removeEdge(535, 381, 2); + graph.removeEdge(535, 482, 2); + graph.removeEdge(535, 483, 2); + graph.removeEdge(535, 382, 2); + graph.removeEdge(535, 505, 2); + graph.removeEdge(535, 506, 2); + graph.removeEdge(535, 294, 2); + graph.removeEdge(535, 467, 2); + graph.removeEdge(535, 468, 2); + graph.removeEdge(535, 295, 2); + graph.removeEdge(535, 452, 2); + graph.removeEdge(535, 296, 2); + graph.removeEdge(535, 466, 2); + graph.removeEdge(535, 297, 2); + graph.removeEdge(535, 451, 2); + graph.removeEdge(535, 298, 2); + graph.removeEdge(535, 447, 2); + graph.removeEdge(535, 448, 2); + graph.removeEdge(535, 449, 2); + graph.removeEdge(535, 398, 2); + graph.removeEdge(535, 399, 2); + graph.removeEdge(535, 400, 2); + graph.removeEdge(535, 450, 2); + graph.removeEdge(535, 165, 2); + graph.removeEdge(535, 166, 2); + graph.removeEdge(535, 274, 2); + graph.removeEdge(535, 275, 2); + graph.removeEdge(535, 371, 2); + graph.removeEdge(535, 372, 2); + graph.removeEdge(535, 461, 2); + graph.removeEdge(535, 462, 2); + graph.removeEdge(535, 501, 2); + graph.removeEdge(535, 502, 2); + graph.removeEdge(535, 373, 2); + graph.removeEdge(535, 481, 2); + graph.removeEdge(535, 374, 2); + graph.removeEdge(535, 464, 2); + graph.removeEdge(535, 465, 2); + graph.removeEdge(535, 375, 2); + graph.removeEdge(535, 484, 2); + graph.removeEdge(535, 485, 2); + graph.removeEdge(535, 376, 2); + graph.removeEdge(535, 486, 2); + graph.removeEdge(535, 487, 2); + graph.removeEdge(535, 276, 2); + graph.removeEdge(535, 277, 2); + graph.removeEdge(535, 167, 2); + graph.removeEdge(535, 272, 2); + graph.removeEdge(535, 273, 2); + graph.removeEdge(535, 369, 2); + graph.removeEdge(535, 370, 2); + graph.removeEdge(535, 463, 2); + graph.removeEdge(535, 168, 2); + graph.removeEdge(535, 278, 2); + graph.removeEdge(535, 279, 2); + graph.removeEdge(535, 169, 2); + graph.removeEdge(535, 282, 2); + graph.removeEdge(535, 283, 2); + graph.removeEdge(535, 170, 2); + graph.removeEdge(535, 280, 2); + graph.removeEdge(535, 281, 2); + graph.removeEdge(535, 181, 2); + graph.removeEdge(535, 320, 2); + graph.removeEdge(535, 182, 2); + graph.removeEdge(535, 183, 2); + graph.removeEdge(535, 289, 2); + graph.removeEdge(535, 290, 2); + graph.removeEdge(535, 291, 2); + graph.removeEdge(535, 184, 2); + graph.removeEdge(535, 302, 2); + graph.removeEdge(535, 303, 2); + graph.removeEdge(535, 304, 2); + graph.removeEdge(535, 211, 2); + graph.removeEdge(535, 212, 2); + graph.removeEdge(535, 213, 2); + graph.removeEdge(535, 332, 2); + graph.removeEdge(535, 333, 2); + graph.removeEdge(535, 334, 2); + graph.removeEdge(535, 335, 2); + graph.removeEdge(535, 397, 2); + graph.removeEdge(535, 214, 2); + graph.removeEdge(535, 185, 2); + graph.removeEdge(535, 284, 2); + graph.removeEdge(535, 285, 2); + graph.removeEdge(535, 186, 2); + graph.removeEdge(535, 322, 2); + graph.removeEdge(535, 187, 2); + graph.removeEdge(535, 286, 2); + graph.removeEdge(535, 287, 2); + graph.removeEdge(535, 288, 2); + graph.removeEdge(535, 416, 2); + graph.removeEdge(535, 417, 2); + graph.removeEdge(535, 517, 2); + graph.removeEdge(535, 418, 2); + graph.removeEdge(535, 327, 2); + graph.removeEdge(535, 188, 2); + graph.removeEdge(535, 344, 2); + graph.removeEdge(535, 345, 2); + graph.removeEdge(535, 346, 2); + graph.removeEdge(535, 236, 2); + graph.removeEdge(535, 237, 2); + graph.removeEdge(535, 122, 2); + graph.removeEdge(535, 238, 2); + graph.removeEdge(535, 254, 2); + graph.removeEdge(535, 255, 2); + graph.removeEdge(535, 239, 2); + graph.removeEdge(535, 240, 2); + graph.removeEdge(535, 189, 2); + graph.removeEdge(535, 312, 2); + graph.removeEdge(535, 313, 2); + graph.removeEdge(535, 159, 2); + graph.removeEdge(535, 160, 2); + graph.removeEdge(535, 161, 2); + graph.removeEdge(535, 314, 2); + graph.removeEdge(535, 315, 2); + graph.removeEdge(535, 190, 2); + graph.removeEdge(535, 107, 2); + graph.removeEdge(535, 108, 2); + graph.removeEdge(535, 109, 2); + graph.removeEdge(535, 110, 2); + graph.removeEdge(535, 191, 2); + graph.removeEdge(535, 336, 2); + graph.removeEdge(535, 337, 2); + graph.removeEdge(535, 471, 2); + graph.removeEdge(535, 472, 2); + graph.removeEdge(535, 473, 2); + graph.removeEdge(535, 338, 2); + graph.removeEdge(535, 339, 2); + graph.removeEdge(535, 489, 2); + graph.removeEdge(535, 490, 2); + graph.removeEdge(535, 491, 2); + graph.removeEdge(535, 340, 2); + graph.removeEdge(535, 422, 2); + graph.removeEdge(535, 423, 2); + graph.removeEdge(535, 424, 2); + graph.removeEdge(535, 341, 2); + graph.removeEdge(535, 494, 2); + graph.removeEdge(535, 495, 2); + graph.removeEdge(535, 496, 2); + graph.removeEdge(535, 342, 2); + graph.removeEdge(535, 343, 2); + graph.removeEdge(535, 192, 2); + graph.removeEdge(535, 321, 2); + graph.removeEdge(535, 193, 2); + graph.removeEdge(535, 347, 2); + graph.removeEdge(535, 348, 2); + graph.removeEdge(535, 469, 2); + graph.removeEdge(535, 470, 2); + graph.removeEdge(535, 508, 2); + graph.removeEdge(535, 509, 2); + graph.removeEdge(535, 349, 2); + graph.removeEdge(535, 419, 2); + graph.removeEdge(535, 420, 2); + graph.removeEdge(535, 350, 2); + graph.removeEdge(535, 497, 2); + graph.removeEdge(535, 351, 2); + graph.removeEdge(535, 425, 2); + graph.removeEdge(535, 426, 2); + graph.removeEdge(535, 352, 2); + graph.removeEdge(535, 492, 2); + graph.removeEdge(535, 493, 2); + graph.removeEdge(535, 194, 2); + graph.removeEdge(535, 316, 2); + graph.removeEdge(535, 317, 2); + graph.removeEdge(535, 392, 2); + graph.removeEdge(535, 393, 2); + graph.removeEdge(535, 318, 2); + graph.removeEdge(535, 319, 2); + graph.removeEdge(535, 195, 2); + graph.removeEdge(535, 196, 2); + graph.removeEdge(535, 197, 2); + graph.removeEdge(535, 387, 2); + graph.removeEdge(535, 388, 2); + graph.removeEdge(535, 498, 2); + graph.removeEdge(535, 499, 2); + graph.removeEdge(535, 500, 2); + graph.removeEdge(535, 389, 2); + graph.removeEdge(535, 390, 2); + graph.removeEdge(535, 198, 2); + graph.removeEdge(535, 199, 2); + graph.removeEdge(535, 328, 2); + graph.removeEdge(535, 329, 2); + graph.removeEdge(535, 394, 2); + graph.removeEdge(535, 395, 2); + graph.removeEdge(535, 396, 2); + graph.removeEdge(535, 330, 2); + graph.removeEdge(535, 331, 2); + graph.removeEdge(535, 200, 2); + graph.removeEdge(535, 201, 2); + graph.removeEdge(538, 179, 2); + graph.removeEdge(538, 180, 2); + graph.removeEdge(538, 292, 2); + graph.removeEdge(538, 293, 2); + graph.removeEdge(538, 377, 2); + graph.removeEdge(538, 378, 2); + graph.removeEdge(538, 488, 2); + graph.removeEdge(538, 379, 2); + graph.removeEdge(538, 503, 2); + graph.removeEdge(538, 504, 2); + graph.removeEdge(538, 512, 2); + graph.removeEdge(538, 513, 2); + graph.removeEdge(538, 380, 2); + graph.removeEdge(538, 475, 2); + graph.removeEdge(538, 476, 2); + graph.removeEdge(538, 381, 2); + graph.removeEdge(538, 482, 2); + graph.removeEdge(538, 483, 2); + graph.removeEdge(538, 382, 2); + graph.removeEdge(538, 505, 2); + graph.removeEdge(538, 506, 2); + graph.removeEdge(538, 294, 2); + graph.removeEdge(538, 467, 2); + graph.removeEdge(538, 468, 2); + graph.removeEdge(538, 295, 2); + graph.removeEdge(538, 452, 2); + graph.removeEdge(538, 296, 2); + graph.removeEdge(538, 466, 2); + graph.removeEdge(538, 297, 2); + graph.removeEdge(538, 451, 2); + graph.removeEdge(538, 298, 2); + graph.removeEdge(538, 447, 2); + graph.removeEdge(538, 448, 2); + graph.removeEdge(538, 449, 2); + graph.removeEdge(538, 398, 2); + graph.removeEdge(538, 399, 2); + graph.removeEdge(538, 400, 2); + graph.removeEdge(538, 450, 2); + graph.removeEdge(538, 165, 2); + graph.removeEdge(538, 166, 2); + graph.removeEdge(538, 274, 2); + graph.removeEdge(538, 275, 2); + graph.removeEdge(538, 371, 2); + graph.removeEdge(538, 372, 2); + graph.removeEdge(538, 461, 2); + graph.removeEdge(538, 462, 2); + graph.removeEdge(538, 501, 2); + graph.removeEdge(538, 502, 2); + graph.removeEdge(538, 373, 2); + graph.removeEdge(538, 481, 2); + graph.removeEdge(538, 374, 2); + graph.removeEdge(538, 464, 2); + graph.removeEdge(538, 465, 2); + graph.removeEdge(538, 375, 2); + graph.removeEdge(538, 484, 2); + graph.removeEdge(538, 485, 2); + graph.removeEdge(538, 376, 2); + graph.removeEdge(538, 486, 2); + graph.removeEdge(538, 487, 2); + graph.removeEdge(538, 276, 2); + graph.removeEdge(538, 277, 2); + graph.removeEdge(538, 167, 2); + graph.removeEdge(538, 272, 2); + graph.removeEdge(538, 273, 2); + graph.removeEdge(538, 369, 2); + graph.removeEdge(538, 370, 2); + graph.removeEdge(538, 463, 2); + graph.removeEdge(538, 168, 2); + graph.removeEdge(538, 278, 2); + graph.removeEdge(538, 279, 2); + graph.removeEdge(538, 169, 2); + graph.removeEdge(538, 282, 2); + graph.removeEdge(538, 283, 2); + graph.removeEdge(538, 170, 2); + graph.removeEdge(538, 280, 2); + graph.removeEdge(538, 281, 2); + graph.removeEdge(538, 181, 2); + graph.removeEdge(538, 320, 2); + graph.removeEdge(538, 182, 2); + graph.removeEdge(538, 183, 2); + graph.removeEdge(538, 289, 2); + graph.removeEdge(538, 290, 2); + graph.removeEdge(538, 291, 2); + graph.removeEdge(538, 184, 2); + graph.removeEdge(538, 302, 2); + graph.removeEdge(538, 303, 2); + graph.removeEdge(538, 304, 2); + graph.removeEdge(538, 211, 2); + graph.removeEdge(538, 212, 2); + graph.removeEdge(538, 213, 2); + graph.removeEdge(538, 332, 2); + graph.removeEdge(538, 333, 2); + graph.removeEdge(538, 334, 2); + graph.removeEdge(538, 335, 2); + graph.removeEdge(538, 397, 2); + graph.removeEdge(538, 214, 2); + graph.removeEdge(538, 185, 2); + graph.removeEdge(538, 284, 2); + graph.removeEdge(538, 285, 2); + graph.removeEdge(538, 186, 2); + graph.removeEdge(538, 322, 2); + graph.removeEdge(538, 187, 2); + graph.removeEdge(538, 286, 2); + graph.removeEdge(538, 287, 2); + graph.removeEdge(538, 288, 2); + graph.removeEdge(538, 416, 2); + graph.removeEdge(538, 417, 2); + graph.removeEdge(538, 517, 2); + graph.removeEdge(538, 418, 2); + graph.removeEdge(538, 327, 2); + graph.removeEdge(538, 188, 2); + graph.removeEdge(538, 344, 2); + graph.removeEdge(538, 345, 2); + graph.removeEdge(538, 346, 2); + graph.removeEdge(538, 236, 2); + graph.removeEdge(538, 237, 2); + graph.removeEdge(538, 122, 2); + graph.removeEdge(538, 238, 2); + graph.removeEdge(538, 254, 2); + graph.removeEdge(538, 255, 2); + graph.removeEdge(538, 239, 2); + graph.removeEdge(538, 240, 2); + graph.removeEdge(538, 189, 2); + graph.removeEdge(538, 312, 2); + graph.removeEdge(538, 313, 2); + graph.removeEdge(538, 159, 2); + graph.removeEdge(538, 160, 2); + graph.removeEdge(538, 161, 2); + graph.removeEdge(538, 314, 2); + graph.removeEdge(538, 315, 2); + graph.removeEdge(538, 190, 2); + graph.removeEdge(538, 107, 2); + graph.removeEdge(538, 108, 2); + graph.removeEdge(538, 109, 2); + graph.removeEdge(538, 110, 2); + graph.removeEdge(538, 191, 2); + graph.removeEdge(538, 336, 2); + graph.removeEdge(538, 337, 2); + graph.removeEdge(538, 471, 2); + graph.removeEdge(538, 472, 2); + graph.removeEdge(538, 473, 2); + graph.removeEdge(538, 338, 2); + graph.removeEdge(538, 339, 2); + graph.removeEdge(538, 489, 2); + graph.removeEdge(538, 490, 2); + graph.removeEdge(538, 491, 2); + graph.removeEdge(538, 340, 2); + graph.removeEdge(538, 422, 2); + graph.removeEdge(538, 423, 2); + graph.removeEdge(538, 424, 2); + graph.removeEdge(538, 341, 2); + graph.removeEdge(538, 494, 2); + graph.removeEdge(538, 495, 2); + graph.removeEdge(538, 496, 2); + graph.removeEdge(538, 342, 2); + graph.removeEdge(538, 343, 2); + graph.removeEdge(538, 192, 2); + graph.removeEdge(538, 321, 2); + graph.removeEdge(538, 193, 2); + graph.removeEdge(538, 347, 2); + graph.removeEdge(538, 348, 2); + graph.removeEdge(538, 469, 2); + graph.removeEdge(538, 470, 2); + graph.removeEdge(538, 508, 2); + graph.removeEdge(538, 509, 2); + graph.removeEdge(538, 349, 2); + graph.removeEdge(538, 419, 2); + graph.removeEdge(538, 420, 2); + graph.removeEdge(538, 350, 2); + graph.removeEdge(538, 497, 2); + graph.removeEdge(538, 351, 2); + graph.removeEdge(538, 425, 2); + graph.removeEdge(538, 426, 2); + graph.removeEdge(538, 352, 2); + graph.removeEdge(538, 492, 2); + graph.removeEdge(538, 493, 2); + graph.removeEdge(538, 194, 2); + graph.removeEdge(538, 316, 2); + graph.removeEdge(538, 317, 2); + graph.removeEdge(538, 392, 2); + graph.removeEdge(538, 393, 2); + graph.removeEdge(538, 318, 2); + graph.removeEdge(538, 319, 2); + graph.removeEdge(538, 195, 2); + graph.removeEdge(538, 196, 2); + graph.removeEdge(538, 197, 2); + graph.removeEdge(538, 387, 2); + graph.removeEdge(538, 388, 2); + graph.removeEdge(538, 498, 2); + graph.removeEdge(538, 499, 2); + graph.removeEdge(538, 500, 2); + graph.removeEdge(538, 389, 2); + graph.removeEdge(538, 390, 2); + graph.removeEdge(538, 198, 2); + graph.removeEdge(538, 199, 2); + graph.removeEdge(538, 328, 2); + graph.removeEdge(538, 329, 2); + graph.removeEdge(538, 394, 2); + graph.removeEdge(538, 395, 2); + graph.removeEdge(538, 396, 2); + graph.removeEdge(538, 330, 2); + graph.removeEdge(538, 331, 2); + graph.removeEdge(538, 200, 2); + graph.removeEdge(538, 201, 2); + graph.removeEdge(541, 179, 2); + graph.removeEdge(541, 180, 2); + graph.removeEdge(541, 292, 2); + graph.removeEdge(541, 293, 2); + graph.removeEdge(541, 377, 2); + graph.removeEdge(541, 378, 2); + graph.removeEdge(541, 488, 2); + graph.removeEdge(541, 379, 2); + graph.removeEdge(541, 503, 2); + graph.removeEdge(541, 504, 2); + graph.removeEdge(541, 512, 2); + graph.removeEdge(541, 513, 2); + graph.removeEdge(541, 380, 2); + graph.removeEdge(541, 475, 2); + graph.removeEdge(541, 476, 2); + graph.removeEdge(541, 381, 2); + graph.removeEdge(541, 482, 2); + graph.removeEdge(541, 483, 2); + graph.removeEdge(541, 382, 2); + graph.removeEdge(541, 505, 2); + graph.removeEdge(541, 506, 2); + graph.removeEdge(541, 294, 2); + graph.removeEdge(541, 467, 2); + graph.removeEdge(541, 468, 2); + graph.removeEdge(541, 295, 2); + graph.removeEdge(541, 452, 2); + graph.removeEdge(541, 296, 2); + graph.removeEdge(541, 466, 2); + graph.removeEdge(541, 297, 2); + graph.removeEdge(541, 451, 2); + graph.removeEdge(541, 298, 2); + graph.removeEdge(541, 447, 2); + graph.removeEdge(541, 448, 2); + graph.removeEdge(541, 449, 2); + graph.removeEdge(541, 398, 2); + graph.removeEdge(541, 399, 2); + graph.removeEdge(541, 400, 2); + graph.removeEdge(541, 450, 2); + graph.removeEdge(541, 165, 2); + graph.removeEdge(541, 166, 2); + graph.removeEdge(541, 274, 2); + graph.removeEdge(541, 275, 2); + graph.removeEdge(541, 371, 2); + graph.removeEdge(541, 372, 2); + graph.removeEdge(541, 461, 2); + graph.removeEdge(541, 462, 2); + graph.removeEdge(541, 501, 2); + graph.removeEdge(541, 502, 2); + graph.removeEdge(541, 373, 2); + graph.removeEdge(541, 481, 2); + graph.removeEdge(541, 374, 2); + graph.removeEdge(541, 464, 2); + graph.removeEdge(541, 465, 2); + graph.removeEdge(541, 375, 2); + graph.removeEdge(541, 484, 2); + graph.removeEdge(541, 485, 2); + graph.removeEdge(541, 376, 2); + graph.removeEdge(541, 486, 2); + graph.removeEdge(541, 487, 2); + graph.removeEdge(541, 276, 2); + graph.removeEdge(541, 277, 2); + graph.removeEdge(541, 167, 2); + graph.removeEdge(541, 272, 2); + graph.removeEdge(541, 273, 2); + graph.removeEdge(541, 369, 2); + graph.removeEdge(541, 370, 2); + graph.removeEdge(541, 463, 2); + graph.removeEdge(541, 168, 2); + graph.removeEdge(541, 278, 2); + graph.removeEdge(541, 279, 2); + graph.removeEdge(541, 169, 2); + graph.removeEdge(541, 282, 2); + graph.removeEdge(541, 283, 2); + graph.removeEdge(541, 170, 2); + graph.removeEdge(541, 280, 2); + graph.removeEdge(541, 281, 2); + graph.removeEdge(541, 181, 2); + graph.removeEdge(541, 320, 2); + graph.removeEdge(541, 182, 2); + graph.removeEdge(541, 183, 2); + graph.removeEdge(541, 289, 2); + graph.removeEdge(541, 290, 2); + graph.removeEdge(541, 291, 2); + graph.removeEdge(541, 184, 2); + graph.removeEdge(541, 302, 2); + graph.removeEdge(541, 303, 2); + graph.removeEdge(541, 304, 2); + graph.removeEdge(541, 211, 2); + graph.removeEdge(541, 212, 2); + graph.removeEdge(541, 213, 2); + graph.removeEdge(541, 332, 2); + graph.removeEdge(541, 333, 2); + graph.removeEdge(541, 334, 2); + graph.removeEdge(541, 335, 2); + graph.removeEdge(541, 397, 2); + graph.removeEdge(541, 214, 2); + graph.removeEdge(541, 185, 2); + graph.removeEdge(541, 284, 2); + graph.removeEdge(541, 285, 2); + graph.removeEdge(541, 186, 2); + graph.removeEdge(541, 322, 2); + graph.removeEdge(541, 187, 2); + graph.removeEdge(541, 286, 2); + graph.removeEdge(541, 287, 2); + graph.removeEdge(541, 288, 2); + graph.removeEdge(541, 416, 2); + graph.removeEdge(541, 417, 2); + graph.removeEdge(541, 517, 2); + graph.removeEdge(541, 418, 2); + graph.removeEdge(541, 327, 2); + graph.removeEdge(541, 188, 2); + graph.removeEdge(541, 344, 2); + graph.removeEdge(541, 345, 2); + graph.removeEdge(541, 346, 2); + graph.removeEdge(541, 236, 2); + graph.removeEdge(541, 237, 2); + graph.removeEdge(541, 122, 2); + graph.removeEdge(541, 238, 2); + graph.removeEdge(541, 254, 2); + graph.removeEdge(541, 255, 2); + graph.removeEdge(541, 239, 2); + graph.removeEdge(541, 240, 2); + graph.removeEdge(541, 189, 2); + graph.removeEdge(541, 312, 2); + graph.removeEdge(541, 313, 2); + graph.removeEdge(541, 159, 2); + graph.removeEdge(541, 160, 2); + graph.removeEdge(541, 161, 2); + graph.removeEdge(541, 314, 2); + graph.removeEdge(541, 315, 2); + graph.removeEdge(541, 190, 2); + graph.removeEdge(541, 107, 2); + graph.removeEdge(541, 108, 2); + graph.removeEdge(541, 109, 2); + graph.removeEdge(541, 110, 2); + graph.removeEdge(541, 191, 2); + graph.removeEdge(541, 336, 2); + graph.removeEdge(541, 337, 2); + graph.removeEdge(541, 471, 2); + graph.removeEdge(541, 472, 2); + graph.removeEdge(541, 473, 2); + graph.removeEdge(541, 338, 2); + graph.removeEdge(541, 339, 2); + graph.removeEdge(541, 489, 2); + graph.removeEdge(541, 490, 2); + graph.removeEdge(541, 491, 2); + graph.removeEdge(541, 340, 2); + graph.removeEdge(541, 422, 2); + graph.removeEdge(541, 423, 2); + graph.removeEdge(541, 424, 2); + graph.removeEdge(541, 341, 2); + graph.removeEdge(541, 494, 2); + graph.removeEdge(541, 495, 2); + graph.removeEdge(541, 496, 2); + graph.removeEdge(541, 342, 2); + graph.removeEdge(541, 343, 2); + graph.removeEdge(541, 192, 2); + graph.removeEdge(541, 321, 2); + graph.removeEdge(541, 193, 2); + graph.removeEdge(541, 347, 2); + graph.removeEdge(541, 348, 2); + graph.removeEdge(541, 469, 2); + graph.removeEdge(541, 470, 2); + graph.removeEdge(541, 508, 2); + graph.removeEdge(541, 509, 2); + graph.removeEdge(541, 349, 2); + graph.removeEdge(541, 419, 2); + graph.removeEdge(541, 420, 2); + graph.removeEdge(541, 350, 2); + graph.removeEdge(541, 497, 2); + graph.removeEdge(541, 351, 2); + graph.removeEdge(541, 425, 2); + graph.removeEdge(541, 426, 2); + graph.removeEdge(541, 352, 2); + graph.removeEdge(541, 492, 2); + graph.removeEdge(541, 493, 2); + graph.removeEdge(541, 194, 2); + graph.removeEdge(541, 316, 2); + graph.removeEdge(541, 317, 2); + graph.removeEdge(541, 392, 2); + graph.removeEdge(541, 393, 2); + graph.removeEdge(541, 318, 2); + graph.removeEdge(541, 319, 2); + graph.removeEdge(541, 195, 2); + graph.removeEdge(541, 196, 2); + graph.removeEdge(541, 197, 2); + graph.removeEdge(541, 387, 2); + graph.removeEdge(541, 388, 2); + graph.removeEdge(541, 498, 2); + graph.removeEdge(541, 499, 2); + graph.removeEdge(541, 500, 2); + graph.removeEdge(541, 389, 2); + graph.removeEdge(541, 390, 2); + graph.removeEdge(541, 198, 2); + graph.removeEdge(541, 199, 2); + graph.removeEdge(541, 328, 2); + graph.removeEdge(541, 329, 2); + graph.removeEdge(541, 394, 2); + graph.removeEdge(541, 395, 2); + graph.removeEdge(541, 396, 2); + graph.removeEdge(541, 330, 2); + graph.removeEdge(541, 331, 2); + graph.removeEdge(541, 200, 2); + graph.removeEdge(541, 201, 2); + graph.addEdge(551, 292, 1); + graph.addEdge(551, 476, 2); + graph.addEdge(551, 506, 2); + graph.addEdge(551, 452, 2); + graph.addEdge(551, 451, 2); + graph.addEdge(551, 399, 2); + graph.addEdge(551, 440, 2); + graph.addEdge(551, 441, 2); + graph.addEdge(551, 519, 2); + graph.addEdge(551, 217, 2); + graph.addEdge(551, 355, 2); + graph.addEdge(551, 356, 2); + graph.addEdge(551, 432, 2); + graph.addEdge(551, 219, 2); + graph.addEdge(551, 520, 2); + graph.addEdge(551, 526, 2); + graph.addEdge(551, 527, 2); + graph.addEdge(551, 528, 2); + graph.addEdge(551, 529, 2); + graph.addEdge(551, 521, 2); + graph.addEdge(551, 522, 2); + graph.addEdge(551, 421, 2); + graph.addEdge(551, 523, 2); + graph.addEdge(551, 400, 2); + graph.addEdge(551, 501, 2); + graph.addEdge(551, 465, 2); + graph.addEdge(551, 487, 2); + graph.addEdge(551, 272, 2); + graph.addEdge(551, 273, 2); + graph.addEdge(551, 467, 1); + graph.addEdge(551, 452, 1); + graph.addEdge(551, 466, 1); + graph.addEdge(551, 451, 1); + graph.addEdge(551, 447, 1); + graph.addEdge(551, 320, 1); + graph.addEdge(551, 229, 1); + graph.addEdge(551, 229, 2); + graph.addEdge(551, 289, 1); + graph.addEdge(551, 89, 2); + graph.addEdge(551, 90, 2); + graph.addEdge(551, 91, 2); + // this edge already exists + assert(!graph.addEdge(551, 204, 2)); + graph.addEdge(551, 427, 2); + graph.addEdge(551, 428, 2); + graph.addEdge(551, 429, 2); + graph.addEdge(551, 323, 2); + graph.addEdge(551, 405, 2); + graph.addEdge(551, 406, 2); + graph.addEdge(551, 401, 2); + graph.addEdge(551, 305, 2); + graph.addEdge(551, 306, 2); + graph.addEdge(551, 202, 1); + graph.addEdge(551, 307, 1); + graph.addEdge(551, 383, 1); + graph.addEdge(551, 474, 1); + graph.addEdge(551, 308, 1); + graph.addEdge(551, 403, 1); + graph.addEdge(551, 401, 1); + graph.addEdge(551, 173, 1); + graph.addEdge(551, 305, 1); + graph.addEdge(551, 391, 1); + graph.addEdge(551, 302, 1); + // this edge already exists + assert(!graph.addEdge(551, 213, 2)); + graph.addEdge(551, 397, 2); + graph.addEdge(551, 211, 1); + graph.addEdge(551, 332, 1); + graph.addEdge(551, 397, 1); + graph.addEdge(551, 284, 1); + graph.addEdge(551, 322, 1); + graph.addEdge(551, 286, 1); + graph.addEdge(551, 417, 2); + graph.addEdge(551, 416, 1); + graph.addEdge(551, 517, 1); + graph.addEdge(551, 327, 1); + graph.addEdge(551, 344, 1); + graph.addEdge(551, 344, 2); + graph.addEdge(551, 345, 2); + graph.addEdge(551, 346, 2); + graph.addEdge(551, 236, 1); + graph.addEdge(551, 254, 1); + graph.addEdge(551, 312, 1); + graph.addEdge(551, 159, 1); + graph.addEdge(551, 107, 1); + graph.addEdge(551, 336, 1); + graph.addEdge(551, 491, 2); + graph.addEdge(551, 340, 2); + graph.addEdge(551, 422, 2); + graph.addEdge(551, 423, 2); + graph.addEdge(551, 424, 2); + graph.addEdge(551, 494, 2); + graph.addEdge(551, 495, 2); + graph.addEdge(551, 496, 2); + graph.addEdge(551, 343, 2); + graph.addEdge(551, 471, 1); + graph.addEdge(551, 489, 1); + graph.addEdge(551, 422, 1); + graph.addEdge(551, 494, 1); + graph.addEdge(551, 321, 1); + graph.addEdge(551, 347, 1); + graph.addEdge(551, 347, 2); + graph.addEdge(551, 348, 2); + graph.addEdge(551, 349, 2); + graph.addEdge(551, 419, 2); + graph.addEdge(551, 420, 2); + graph.addEdge(551, 350, 2); + graph.addEdge(551, 351, 2); + graph.addEdge(551, 425, 2); + graph.addEdge(551, 426, 2); + graph.addEdge(551, 492, 2); + graph.addEdge(551, 493, 2); + graph.addEdge(551, 469, 1); + graph.addEdge(551, 508, 1); + graph.addEdge(551, 419, 1); + graph.addEdge(551, 497, 1); + graph.addEdge(551, 425, 1); + graph.addEdge(551, 492, 1); + graph.addEdge(551, 316, 1); + graph.addEdge(551, 393, 2); + graph.addEdge(551, 392, 1); + graph.addEdge(551, 387, 1); + graph.addEdge(551, 388, 2); + graph.addEdge(551, 499, 2); + graph.addEdge(551, 500, 2); + graph.addEdge(551, 390, 2); + graph.addEdge(551, 498, 1); + graph.addEdge(551, 328, 1); + graph.addEdge(551, 395, 2); + graph.addEdge(551, 396, 2); + graph.addEdge(551, 394, 1); + graph.addEdge(552, 48, 1); + graph.addEdge(552, 48, 2); + graph.addEdge(552, 49, 2); + graph.addEdge(552, 221, 2); + graph.addEdge(552, 50, 2); + graph.addEdge(552, 179, 2); + graph.addEdge(552, 180, 2); + graph.addEdge(552, 292, 2); + graph.addEdge(552, 293, 2); + graph.addEdge(552, 377, 2); + graph.addEdge(552, 378, 2); + graph.addEdge(552, 488, 2); + graph.addEdge(552, 379, 2); + graph.addEdge(552, 503, 2); + graph.addEdge(552, 504, 2); + graph.addEdge(552, 512, 2); + graph.addEdge(552, 513, 2); + graph.addEdge(552, 209, 2); + graph.addEdge(552, 380, 2); + graph.addEdge(552, 475, 2); + graph.addEdge(552, 476, 2); + graph.addEdge(552, 381, 2); + graph.addEdge(552, 482, 2); + graph.addEdge(552, 483, 2); + graph.addEdge(552, 382, 2); + graph.addEdge(552, 505, 2); + graph.addEdge(552, 506, 2); + graph.addEdge(552, 294, 2); + graph.addEdge(552, 467, 2); + graph.addEdge(552, 468, 2); + graph.addEdge(552, 295, 2); + graph.addEdge(552, 452, 2); + graph.addEdge(552, 296, 2); + graph.addEdge(552, 466, 2); + graph.addEdge(552, 297, 2); + graph.addEdge(552, 451, 2); + graph.addEdge(552, 298, 2); + graph.addEdge(552, 447, 2); + graph.addEdge(552, 448, 2); + graph.addEdge(552, 449, 2); + graph.addEdge(552, 398, 2); + graph.addEdge(552, 399, 2); + graph.addEdge(552, 440, 2); + graph.addEdge(552, 441, 2); + graph.addEdge(552, 518, 2); + graph.addEdge(552, 519, 2); + graph.addEdge(552, 251, 2); + graph.addEdge(552, 252, 2); + graph.addEdge(552, 217, 2); + graph.addEdge(552, 218, 2); + graph.addEdge(552, 241, 2); + graph.addEdge(552, 242, 2); + graph.addEdge(552, 355, 2); + graph.addEdge(552, 356, 2); + graph.addEdge(552, 432, 2); + graph.addEdge(552, 219, 2); + graph.addEdge(552, 366, 2); + graph.addEdge(552, 367, 2); + graph.addEdge(552, 220, 2); + graph.addEdge(552, 368, 2); + graph.addEdge(552, 253, 2); + graph.addEdge(552, 386, 2); + graph.addEdge(552, 520, 2); + graph.addEdge(552, 526, 2); + graph.addEdge(552, 527, 2); + graph.addEdge(552, 528, 2); + graph.addEdge(552, 529, 2); + graph.addEdge(552, 521, 2); + graph.addEdge(552, 522, 2); + graph.addEdge(552, 421, 2); + graph.addEdge(552, 442, 2); + graph.addEdge(552, 523, 2); + graph.addEdge(552, 400, 2); + graph.addEdge(552, 450, 2); + graph.addEdge(552, 165, 2); + graph.addEdge(552, 166, 2); + graph.addEdge(552, 274, 2); + graph.addEdge(552, 275, 2); + graph.addEdge(552, 371, 2); + graph.addEdge(552, 372, 2); + graph.addEdge(552, 461, 2); + graph.addEdge(552, 462, 2); + graph.addEdge(552, 501, 2); + graph.addEdge(552, 502, 2); + graph.addEdge(552, 373, 2); + graph.addEdge(552, 481, 2); + graph.addEdge(552, 374, 2); + graph.addEdge(552, 464, 2); + graph.addEdge(552, 465, 2); + graph.addEdge(552, 375, 2); + graph.addEdge(552, 484, 2); + graph.addEdge(552, 485, 2); + graph.addEdge(552, 376, 2); + graph.addEdge(552, 486, 2); + graph.addEdge(552, 487, 2); + graph.addEdge(552, 276, 2); + graph.addEdge(552, 277, 2); + graph.addEdge(552, 167, 2); + graph.addEdge(552, 272, 2); + graph.addEdge(552, 273, 2); + graph.addEdge(552, 369, 2); + graph.addEdge(552, 370, 2); + graph.addEdge(552, 463, 2); + graph.addEdge(552, 168, 2); + graph.addEdge(552, 278, 2); + graph.addEdge(552, 279, 2); + graph.addEdge(552, 169, 2); + graph.addEdge(552, 282, 2); + graph.addEdge(552, 283, 2); + graph.addEdge(552, 170, 2); + graph.addEdge(552, 280, 2); + graph.addEdge(552, 281, 2); + graph.addEdge(552, 181, 2); + graph.addEdge(552, 320, 2); + graph.addEdge(552, 182, 2); + graph.addEdge(552, 123, 2); + graph.addEdge(552, 124, 2); + graph.addEdge(552, 229, 2); + graph.addEdge(552, 230, 2); + graph.addEdge(552, 353, 2); + graph.addEdge(552, 354, 2); + graph.addEdge(552, 125, 2); + graph.addEdge(552, 183, 2); + graph.addEdge(552, 289, 2); + graph.addEdge(552, 290, 2); + graph.addEdge(552, 89, 2); + graph.addEdge(552, 90, 2); + graph.addEdge(552, 91, 2); + graph.addEdge(552, 291, 2); + graph.addEdge(552, 126, 2); + graph.addEdge(552, 127, 2); + graph.addEdge(552, 202, 2); + graph.addEdge(552, 203, 2); + graph.addEdge(552, 307, 2); + graph.addEdge(552, 204, 2); + graph.addEdge(552, 231, 2); + graph.addEdge(552, 232, 2); + graph.addEdge(552, 427, 2); + graph.addEdge(552, 428, 2); + graph.addEdge(552, 429, 2); + graph.addEdge(552, 134, 2); + graph.addEdge(552, 233, 2); + graph.addEdge(552, 205, 2); + graph.addEdge(552, 162, 2); + graph.addEdge(552, 206, 2); + graph.addEdge(552, 383, 2); + graph.addEdge(552, 384, 2); + graph.addEdge(552, 385, 2); + graph.addEdge(552, 474, 2); + graph.addEdge(552, 207, 2); + graph.addEdge(552, 323, 2); + graph.addEdge(552, 208, 2); + graph.addEdge(552, 308, 2); + graph.addEdge(552, 309, 2); + graph.addEdge(552, 403, 2); + graph.addEdge(552, 404, 2); + graph.addEdge(552, 405, 2); + graph.addEdge(552, 210, 2); + graph.addEdge(552, 406, 2); + graph.addEdge(552, 310, 2); + graph.addEdge(552, 121, 2); + graph.addEdge(552, 311, 2); + graph.addEdge(552, 401, 2); + graph.addEdge(552, 402, 2); + graph.addEdge(552, 128, 2); + graph.addEdge(552, 173, 2); + graph.addEdge(552, 174, 2); + graph.addEdge(552, 163, 2); + graph.addEdge(552, 175, 2); + graph.addEdge(552, 305, 2); + graph.addEdge(552, 306, 2); + graph.addEdge(552, 391, 2); + graph.addEdge(552, 129, 2); + graph.addEdge(552, 131, 2); + graph.addEdge(552, 132, 2); + graph.addEdge(552, 133, 2); + graph.addEdge(552, 184, 2); + graph.addEdge(552, 302, 2); + graph.addEdge(552, 303, 2); + graph.addEdge(552, 304, 2); + graph.addEdge(552, 211, 2); + graph.addEdge(552, 212, 2); + graph.addEdge(552, 213, 2); + graph.addEdge(552, 332, 2); + graph.addEdge(552, 333, 2); + graph.addEdge(552, 334, 2); + graph.addEdge(552, 335, 2); + graph.addEdge(552, 397, 2); + graph.addEdge(552, 214, 2); + graph.addEdge(552, 185, 2); + graph.addEdge(552, 284, 2); + graph.addEdge(552, 285, 2); + graph.addEdge(552, 186, 2); + graph.addEdge(552, 322, 2); + graph.addEdge(552, 187, 2); + graph.addEdge(552, 286, 2); + graph.addEdge(552, 287, 2); + graph.addEdge(552, 288, 2); + graph.addEdge(552, 416, 2); + graph.addEdge(552, 417, 2); + graph.addEdge(552, 517, 2); + graph.addEdge(552, 418, 2); + graph.addEdge(552, 327, 2); + graph.addEdge(552, 188, 2); + graph.addEdge(552, 344, 2); + graph.addEdge(552, 345, 2); + graph.addEdge(552, 346, 2); + graph.addEdge(552, 236, 2); + graph.addEdge(552, 237, 2); + graph.addEdge(552, 122, 2); + graph.addEdge(552, 238, 2); + graph.addEdge(552, 254, 2); + graph.addEdge(552, 255, 2); + graph.addEdge(552, 239, 2); + graph.addEdge(552, 240, 2); + graph.addEdge(552, 189, 2); + graph.addEdge(552, 312, 2); + graph.addEdge(552, 313, 2); + graph.addEdge(552, 159, 2); + graph.addEdge(552, 160, 2); + graph.addEdge(552, 161, 2); + graph.addEdge(552, 314, 2); + graph.addEdge(552, 315, 2); + graph.addEdge(552, 190, 2); + graph.addEdge(552, 107, 2); + graph.addEdge(552, 108, 2); + graph.addEdge(552, 109, 2); + graph.addEdge(552, 110, 2); + graph.addEdge(552, 191, 2); + graph.addEdge(552, 336, 2); + graph.addEdge(552, 337, 2); + graph.addEdge(552, 471, 2); + graph.addEdge(552, 472, 2); + graph.addEdge(552, 473, 2); + graph.addEdge(552, 338, 2); + graph.addEdge(552, 339, 2); + graph.addEdge(552, 489, 2); + graph.addEdge(552, 490, 2); + graph.addEdge(552, 491, 2); + graph.addEdge(552, 340, 2); + graph.addEdge(552, 422, 2); + graph.addEdge(552, 423, 2); + graph.addEdge(552, 424, 2); + graph.addEdge(552, 341, 2); + graph.addEdge(552, 494, 2); + graph.addEdge(552, 495, 2); + graph.addEdge(552, 496, 2); + graph.addEdge(552, 342, 2); + graph.addEdge(552, 343, 2); + graph.addEdge(552, 192, 2); + graph.addEdge(552, 321, 2); + graph.addEdge(552, 193, 2); + graph.addEdge(552, 347, 2); + graph.addEdge(552, 348, 2); + graph.addEdge(552, 469, 2); + graph.addEdge(552, 470, 2); + graph.addEdge(552, 508, 2); + graph.addEdge(552, 509, 2); + graph.addEdge(552, 349, 2); + graph.addEdge(552, 419, 2); + graph.addEdge(552, 420, 2); + graph.addEdge(552, 350, 2); + graph.addEdge(552, 497, 2); + graph.addEdge(552, 351, 2); + graph.addEdge(552, 425, 2); + graph.addEdge(552, 426, 2); + graph.addEdge(552, 352, 2); + graph.addEdge(552, 492, 2); + graph.addEdge(552, 493, 2); + graph.addEdge(552, 194, 2); + graph.addEdge(552, 316, 2); + graph.addEdge(552, 317, 2); + graph.addEdge(552, 392, 2); + graph.addEdge(552, 393, 2); + graph.addEdge(552, 318, 2); + graph.addEdge(552, 319, 2); + graph.addEdge(552, 195, 2); + graph.addEdge(552, 196, 2); + graph.addEdge(552, 197, 2); + graph.addEdge(552, 387, 2); + graph.addEdge(552, 388, 2); + graph.addEdge(552, 498, 2); + graph.addEdge(552, 499, 2); + graph.addEdge(552, 500, 2); + graph.addEdge(552, 389, 2); + graph.addEdge(552, 390, 2); + graph.addEdge(552, 198, 2); + graph.addEdge(552, 199, 2); + graph.addEdge(552, 328, 2); + graph.addEdge(552, 329, 2); + graph.addEdge(552, 394, 2); + graph.addEdge(552, 395, 2); + graph.addEdge(552, 396, 2); + graph.addEdge(552, 330, 2); + graph.addEdge(552, 331, 2); + graph.addEdge(552, 200, 2); + graph.addEdge(552, 201, 2); + graph.addEdge(552, 51, 2); + graph.addEdge(552, 102, 2); + graph.addEdge(552, 103, 2); + graph.addEdge(552, 111, 2); + graph.addEdge(552, 112, 2); + graph.addEdge(552, 113, 2); + graph.addEdge(552, 265, 2); + graph.addEdge(552, 266, 2); + graph.addEdge(552, 267, 2); + graph.addEdge(552, 324, 2); + graph.addEdge(552, 325, 2); + graph.addEdge(552, 326, 2); + graph.addEdge(552, 114, 2); + graph.addEdge(552, 215, 2); + graph.addEdge(552, 216, 2); + graph.addEdge(552, 364, 2); + graph.addEdge(552, 365, 2); + graph.addEdge(552, 459, 2); + graph.addEdge(552, 460, 2); + graph.addEdge(552, 115, 2); + graph.addEdge(552, 171, 2); + graph.addEdge(552, 172, 2); + graph.addEdge(552, 259, 2); + graph.addEdge(552, 260, 2); + graph.addEdge(552, 261, 2); + graph.addEdge(552, 262, 2); + graph.addEdge(552, 263, 2); + graph.addEdge(552, 104, 2); + graph.addEdge(552, 264, 2); + graph.addEdge(552, 105, 2); + graph.addEdge(552, 156, 2); + graph.addEdge(552, 157, 2); + graph.addEdge(552, 256, 2); + graph.addEdge(552, 257, 2); + graph.addEdge(552, 258, 2); + graph.addEdge(552, 234, 2); + graph.addEdge(552, 235, 2); + graph.addEdge(552, 158, 2); + graph.addEdge(552, 271, 2); + graph.addEdge(552, 106, 2); + graph.addEdge(552, 52, 2); + graph.addEdge(552, 53, 2); + graph.addEdge(552, 54, 2); + graph.addEdge(552, 100, 2); + graph.addEdge(552, 101, 2); + graph.addEdge(552, 152, 2); + graph.addEdge(552, 153, 2); + graph.addEdge(552, 154, 2); + graph.addEdge(552, 155, 2); + graph.addEdge(552, 55, 2); + graph.addEdge(552, 116, 2); + graph.addEdge(552, 117, 2); + graph.addEdge(552, 46, 2); + graph.addEdge(552, 47, 2); + graph.addEdge(552, 64, 2); + graph.addEdge(552, 65, 2); + graph.addEdge(552, 66, 2); + graph.addEdge(552, 96, 2); + graph.addEdge(552, 97, 2); + graph.addEdge(552, 98, 2); + graph.addEdge(552, 99, 2); + graph.addEdge(552, 118, 2); + graph.addEdge(552, 147, 2); + graph.addEdge(552, 148, 2); + graph.addEdge(552, 268, 2); + graph.addEdge(552, 119, 2); + graph.addEdge(552, 225, 2); + graph.addEdge(552, 226, 2); + graph.addEdge(552, 411, 2); + graph.addEdge(552, 412, 2); + graph.addEdge(552, 516, 2); + graph.addEdge(552, 413, 2); + graph.addEdge(552, 414, 2); + graph.addEdge(552, 130, 2); + graph.addEdge(552, 227, 2); + graph.addEdge(552, 415, 2); + graph.addEdge(552, 56, 2); + graph.addEdge(535, 552, 4); + graph.removeEdge(535, 48, 2); + graph.removeEdge(535, 49, 2); + graph.removeEdge(535, 221, 2); + graph.removeEdge(535, 50, 2); + graph.removeEdge(535, 51, 2); + graph.removeEdge(535, 102, 2); + graph.removeEdge(535, 103, 2); + graph.removeEdge(535, 111, 2); + graph.removeEdge(535, 112, 2); + graph.removeEdge(535, 113, 2); + graph.removeEdge(535, 265, 2); + graph.removeEdge(535, 266, 2); + graph.removeEdge(535, 267, 2); + graph.removeEdge(535, 324, 2); + graph.removeEdge(535, 325, 2); + graph.removeEdge(535, 326, 2); + graph.removeEdge(535, 114, 2); + graph.removeEdge(535, 215, 2); + graph.removeEdge(535, 216, 2); + graph.removeEdge(535, 364, 2); + graph.removeEdge(535, 365, 2); + graph.removeEdge(535, 459, 2); + graph.removeEdge(535, 460, 2); + graph.removeEdge(535, 115, 2); + graph.removeEdge(535, 171, 2); + graph.removeEdge(535, 172, 2); + graph.removeEdge(535, 259, 2); + graph.removeEdge(535, 260, 2); + graph.removeEdge(535, 261, 2); + graph.removeEdge(535, 262, 2); + graph.removeEdge(535, 263, 2); + graph.removeEdge(535, 104, 2); + graph.removeEdge(535, 264, 2); + graph.removeEdge(535, 105, 2); + graph.removeEdge(535, 156, 2); + graph.removeEdge(535, 157, 2); + graph.removeEdge(535, 256, 2); + graph.removeEdge(535, 257, 2); + graph.removeEdge(535, 258, 2); + graph.removeEdge(535, 234, 2); + graph.removeEdge(535, 235, 2); + graph.removeEdge(535, 158, 2); + graph.removeEdge(535, 271, 2); + graph.removeEdge(535, 106, 2); + graph.removeEdge(535, 52, 2); + graph.removeEdge(535, 53, 2); + graph.removeEdge(535, 54, 2); + graph.removeEdge(535, 100, 2); + graph.removeEdge(535, 101, 2); + graph.removeEdge(535, 152, 2); + graph.removeEdge(535, 153, 2); + graph.removeEdge(535, 154, 2); + graph.removeEdge(535, 155, 2); + graph.removeEdge(535, 55, 2); + graph.removeEdge(535, 116, 2); + graph.removeEdge(535, 117, 2); + graph.removeEdge(535, 46, 2); + graph.removeEdge(535, 47, 2); + graph.removeEdge(535, 64, 2); + graph.removeEdge(535, 65, 2); + graph.removeEdge(535, 66, 2); + graph.removeEdge(535, 96, 2); + graph.removeEdge(535, 97, 2); + graph.removeEdge(535, 98, 2); + graph.removeEdge(535, 99, 2); + graph.removeEdge(535, 118, 2); + graph.removeEdge(535, 147, 2); + graph.removeEdge(535, 148, 2); + graph.removeEdge(535, 268, 2); + graph.removeEdge(535, 119, 2); + graph.removeEdge(535, 225, 2); + graph.removeEdge(535, 226, 2); + graph.removeEdge(535, 411, 2); + graph.removeEdge(535, 412, 2); + graph.removeEdge(535, 516, 2); + graph.removeEdge(535, 413, 2); + graph.removeEdge(535, 414, 2); + graph.removeEdge(535, 130, 2); + graph.removeEdge(535, 227, 2); + graph.removeEdge(535, 415, 2); + graph.removeEdge(535, 56, 2); + graph.addEdge(538, 552, 4); + graph.removeEdge(538, 48, 2); + graph.removeEdge(538, 49, 2); + graph.removeEdge(538, 221, 2); + graph.removeEdge(538, 50, 2); + graph.removeEdge(538, 51, 2); + graph.removeEdge(538, 102, 2); + graph.removeEdge(538, 103, 2); + graph.removeEdge(538, 111, 2); + graph.removeEdge(538, 112, 2); + graph.removeEdge(538, 113, 2); + graph.removeEdge(538, 265, 2); + graph.removeEdge(538, 266, 2); + graph.removeEdge(538, 267, 2); + graph.removeEdge(538, 324, 2); + graph.removeEdge(538, 325, 2); + graph.removeEdge(538, 326, 2); + graph.removeEdge(538, 114, 2); + graph.removeEdge(538, 215, 2); + graph.removeEdge(538, 216, 2); + graph.removeEdge(538, 364, 2); + graph.removeEdge(538, 365, 2); + graph.removeEdge(538, 459, 2); + graph.removeEdge(538, 460, 2); + graph.removeEdge(538, 115, 2); + graph.removeEdge(538, 171, 2); + graph.removeEdge(538, 172, 2); + graph.removeEdge(538, 259, 2); + graph.removeEdge(538, 260, 2); + graph.removeEdge(538, 261, 2); + graph.removeEdge(538, 262, 2); + graph.removeEdge(538, 263, 2); + graph.removeEdge(538, 104, 2); + graph.removeEdge(538, 264, 2); + graph.removeEdge(538, 105, 2); + graph.removeEdge(538, 156, 2); + graph.removeEdge(538, 157, 2); + graph.removeEdge(538, 256, 2); + graph.removeEdge(538, 257, 2); + graph.removeEdge(538, 258, 2); + graph.removeEdge(538, 234, 2); + graph.removeEdge(538, 235, 2); + graph.removeEdge(538, 158, 2); + graph.removeEdge(538, 271, 2); + graph.removeEdge(538, 106, 2); + graph.removeEdge(538, 52, 2); + graph.removeEdge(538, 53, 2); + graph.removeEdge(538, 54, 2); + graph.removeEdge(538, 100, 2); + graph.removeEdge(538, 101, 2); + graph.removeEdge(538, 152, 2); + graph.removeEdge(538, 153, 2); + graph.removeEdge(538, 154, 2); + graph.removeEdge(538, 155, 2); + graph.removeEdge(538, 55, 2); + graph.removeEdge(538, 116, 2); + graph.removeEdge(538, 117, 2); + graph.removeEdge(538, 46, 2); + graph.removeEdge(538, 47, 2); + graph.removeEdge(538, 64, 2); + graph.removeEdge(538, 65, 2); + graph.removeEdge(538, 66, 2); + graph.removeEdge(538, 96, 2); + graph.removeEdge(538, 97, 2); + graph.removeEdge(538, 98, 2); + graph.removeEdge(538, 99, 2); + graph.removeEdge(538, 118, 2); + graph.removeEdge(538, 147, 2); + graph.removeEdge(538, 148, 2); + graph.removeEdge(538, 268, 2); + graph.removeEdge(538, 119, 2); + graph.removeEdge(538, 225, 2); + graph.removeEdge(538, 226, 2); + graph.removeEdge(538, 411, 2); + graph.removeEdge(538, 412, 2); + graph.removeEdge(538, 516, 2); + graph.removeEdge(538, 413, 2); + graph.removeEdge(538, 414, 2); + graph.removeEdge(538, 130, 2); + graph.removeEdge(538, 227, 2); + graph.removeEdge(538, 415, 2); + graph.removeEdge(538, 56, 2); + graph.addEdge(541, 552, 4); + graph.removeEdge(541, 48, 2); + graph.removeEdge(541, 49, 2); + graph.removeEdge(541, 221, 2); + graph.removeEdge(541, 50, 2); + graph.removeEdge(541, 51, 2); + graph.removeEdge(541, 102, 2); + graph.removeEdge(541, 103, 2); + graph.removeEdge(541, 111, 2); + graph.removeEdge(541, 112, 2); + graph.removeEdge(541, 113, 2); + graph.removeEdge(541, 265, 2); + graph.removeEdge(541, 266, 2); + graph.removeEdge(541, 267, 2); + graph.removeEdge(541, 324, 2); + graph.removeEdge(541, 325, 2); + graph.removeEdge(541, 326, 2); + graph.removeEdge(541, 114, 2); + graph.removeEdge(541, 215, 2); + graph.removeEdge(541, 216, 2); + graph.removeEdge(541, 364, 2); + graph.removeEdge(541, 365, 2); + graph.removeEdge(541, 459, 2); + graph.removeEdge(541, 460, 2); + graph.removeEdge(541, 115, 2); + graph.removeEdge(541, 171, 2); + graph.removeEdge(541, 172, 2); + graph.removeEdge(541, 259, 2); + graph.removeEdge(541, 260, 2); + graph.removeEdge(541, 261, 2); + graph.removeEdge(541, 262, 2); + graph.removeEdge(541, 263, 2); + graph.removeEdge(541, 104, 2); + graph.removeEdge(541, 264, 2); + graph.removeEdge(541, 105, 2); + graph.removeEdge(541, 156, 2); + graph.removeEdge(541, 157, 2); + graph.removeEdge(541, 256, 2); + graph.removeEdge(541, 257, 2); + graph.removeEdge(541, 258, 2); + graph.removeEdge(541, 234, 2); + graph.removeEdge(541, 235, 2); + graph.removeEdge(541, 158, 2); + graph.removeEdge(541, 271, 2); + graph.removeEdge(541, 106, 2); + graph.removeEdge(541, 52, 2); + graph.removeEdge(541, 53, 2); + graph.removeEdge(541, 54, 2); + graph.removeEdge(541, 100, 2); + graph.removeEdge(541, 101, 2); + graph.removeEdge(541, 152, 2); + graph.removeEdge(541, 153, 2); + graph.removeEdge(541, 154, 2); + graph.removeEdge(541, 155, 2); + graph.removeEdge(541, 55, 2); + graph.removeEdge(541, 116, 2); + graph.removeEdge(541, 117, 2); + graph.removeEdge(541, 46, 2); + graph.removeEdge(541, 47, 2); + graph.removeEdge(541, 64, 2); + graph.removeEdge(541, 65, 2); + graph.removeEdge(541, 66, 2); + graph.removeEdge(541, 96, 2); + graph.removeEdge(541, 97, 2); + graph.removeEdge(541, 98, 2); + graph.removeEdge(541, 99, 2); + graph.removeEdge(541, 118, 2); + graph.removeEdge(541, 147, 2); + graph.removeEdge(541, 148, 2); + graph.removeEdge(541, 268, 2); + graph.removeEdge(541, 119, 2); + graph.removeEdge(541, 225, 2); + graph.removeEdge(541, 226, 2); + graph.removeEdge(541, 411, 2); + graph.removeEdge(541, 412, 2); + graph.removeEdge(541, 516, 2); + graph.removeEdge(541, 413, 2); + graph.removeEdge(541, 414, 2); + graph.removeEdge(541, 130, 2); + graph.removeEdge(541, 227, 2); + graph.removeEdge(541, 415, 2); + graph.removeEdge(541, 56, 2); + graph.addEdge(552, 256, 1); + graph.addEdge(552, 326, 2); + graph.addEdge(552, 216, 2); + graph.addEdge(552, 459, 2); + graph.addEdge(552, 462, 2); + graph.addEdge(552, 440, 2); + graph.addEdge(552, 441, 2); + graph.addEdge(552, 529, 2); + graph.addEdge(552, 442, 2); + graph.addEdge(552, 484, 2); + graph.addEdge(552, 488, 2); + graph.addEdge(552, 483, 2); + graph.addEdge(552, 280, 2); + graph.addEdge(552, 221, 2); + graph.addEdge(552, 111, 1); + graph.addEdge(552, 265, 1); + graph.addEdge(552, 215, 1); + graph.addEdge(552, 364, 1); + graph.addEdge(552, 459, 1); + graph.addEdge(552, 171, 1); + graph.addEdge(552, 259, 1); + graph.addEdge(552, 234, 1); + graph.addEdge(552, 116, 1); + graph.addEdge(552, 102, 1); + graph.addEdge(552, 264, 1); + graph.addEdge(552, 156, 1); + graph.addEdge(552, 100, 1); + graph.addEdge(552, 152, 1); + graph.addEdge(553, 135, 1); + graph.addEdge(553, 135, 2); + graph.addEdge(553, 136, 2); + graph.addEdge(553, 248, 2); + graph.addEdge(553, 249, 2); + graph.addEdge(553, 360, 2); + graph.addEdge(553, 361, 2); + graph.addEdge(553, 256, 2); + graph.addEdge(553, 257, 2); + graph.addEdge(553, 111, 2); + graph.addEdge(553, 112, 2); + graph.addEdge(553, 162, 2); + graph.addEdge(553, 113, 2); + graph.addEdge(553, 265, 2); + graph.addEdge(553, 266, 2); + graph.addEdge(553, 267, 2); + graph.addEdge(553, 324, 2); + graph.addEdge(553, 325, 2); + graph.addEdge(553, 217, 2); + graph.addEdge(553, 218, 2); + graph.addEdge(553, 241, 2); + graph.addEdge(553, 242, 2); + graph.addEdge(553, 355, 2); + graph.addEdge(553, 356, 2); + graph.addEdge(553, 432, 2); + graph.addEdge(553, 219, 2); + graph.addEdge(553, 366, 2); + graph.addEdge(553, 367, 2); + graph.addEdge(553, 220, 2); + graph.addEdge(553, 368, 2); + graph.addEdge(553, 326, 2); + graph.addEdge(553, 134, 2); + graph.addEdge(553, 114, 2); + graph.addEdge(553, 215, 2); + graph.addEdge(553, 216, 2); + graph.addEdge(553, 364, 2); + graph.addEdge(553, 365, 2); + graph.addEdge(553, 459, 2); + graph.addEdge(553, 460, 2); + graph.addEdge(553, 165, 2); + graph.addEdge(553, 166, 2); + graph.addEdge(553, 274, 2); + graph.addEdge(553, 275, 2); + graph.addEdge(553, 371, 2); + graph.addEdge(553, 372, 2); + graph.addEdge(553, 461, 2); + graph.addEdge(553, 462, 2); + graph.addEdge(553, 501, 2); + graph.addEdge(553, 502, 2); + graph.addEdge(553, 440, 2); + graph.addEdge(553, 441, 2); + graph.addEdge(553, 518, 2); + graph.addEdge(553, 519, 2); + graph.addEdge(553, 251, 2); + graph.addEdge(553, 252, 2); + graph.addEdge(553, 253, 2); + graph.addEdge(553, 386, 2); + graph.addEdge(553, 520, 2); + graph.addEdge(553, 526, 2); + graph.addEdge(553, 527, 2); + graph.addEdge(553, 528, 2); + graph.addEdge(553, 529, 2); + graph.addEdge(553, 521, 2); + graph.addEdge(553, 522, 2); + graph.addEdge(553, 421, 2); + graph.addEdge(553, 442, 2); + graph.addEdge(553, 523, 2); + graph.addEdge(553, 373, 2); + graph.addEdge(553, 481, 2); + graph.addEdge(553, 374, 2); + graph.addEdge(553, 464, 2); + graph.addEdge(553, 465, 2); + graph.addEdge(553, 375, 2); + graph.addEdge(553, 484, 2); + graph.addEdge(553, 485, 2); + graph.addEdge(553, 376, 2); + graph.addEdge(553, 486, 2); + graph.addEdge(553, 487, 2); + graph.addEdge(553, 276, 2); + graph.addEdge(553, 377, 2); + graph.addEdge(553, 378, 2); + graph.addEdge(553, 488, 2); + graph.addEdge(553, 379, 2); + graph.addEdge(553, 503, 2); + graph.addEdge(553, 504, 2); + graph.addEdge(553, 512, 2); + graph.addEdge(553, 513, 2); + graph.addEdge(553, 209, 2); + graph.addEdge(553, 380, 2); + graph.addEdge(553, 475, 2); + graph.addEdge(553, 476, 2); + graph.addEdge(553, 381, 2); + graph.addEdge(553, 482, 2); + graph.addEdge(553, 483, 2); + graph.addEdge(553, 382, 2); + graph.addEdge(553, 505, 2); + graph.addEdge(553, 506, 2); + graph.addEdge(553, 277, 2); + graph.addEdge(553, 398, 2); + graph.addEdge(553, 399, 2); + graph.addEdge(553, 400, 2); + graph.addEdge(553, 167, 2); + graph.addEdge(553, 272, 2); + graph.addEdge(553, 273, 2); + graph.addEdge(553, 369, 2); + graph.addEdge(553, 370, 2); + graph.addEdge(553, 463, 2); + graph.addEdge(553, 168, 2); + graph.addEdge(553, 278, 2); + graph.addEdge(553, 279, 2); + graph.addEdge(553, 169, 2); + graph.addEdge(553, 282, 2); + graph.addEdge(553, 283, 2); + graph.addEdge(553, 170, 2); + graph.addEdge(553, 280, 2); + graph.addEdge(553, 281, 2); + graph.addEdge(553, 115, 2); + graph.addEdge(553, 171, 2); + graph.addEdge(553, 172, 2); + graph.addEdge(553, 259, 2); + graph.addEdge(553, 260, 2); + graph.addEdge(553, 261, 2); + graph.addEdge(553, 221, 2); + graph.addEdge(553, 262, 2); + graph.addEdge(553, 263, 2); + graph.addEdge(553, 258, 2); + graph.addEdge(553, 234, 2); + graph.addEdge(553, 235, 2); + graph.addEdge(553, 362, 2); + graph.addEdge(553, 453, 2); + graph.addEdge(553, 454, 2); + graph.addEdge(553, 123, 2); + graph.addEdge(553, 124, 2); + graph.addEdge(553, 229, 2); + graph.addEdge(553, 230, 2); + graph.addEdge(553, 353, 2); + graph.addEdge(553, 354, 2); + graph.addEdge(553, 125, 2); + graph.addEdge(553, 455, 2); + graph.addEdge(553, 456, 2); + graph.addEdge(553, 323, 2); + graph.addEdge(553, 457, 2); + graph.addEdge(553, 458, 2); + graph.addEdge(553, 363, 2); + graph.addEdge(553, 250, 2); + graph.addEdge(553, 357, 2); + graph.addEdge(553, 358, 2); + graph.addEdge(553, 443, 2); + graph.addEdge(553, 359, 2); + graph.addEdge(553, 433, 2); + graph.addEdge(553, 434, 2); + graph.addEdge(553, 435, 2); + graph.addEdge(553, 231, 2); + graph.addEdge(553, 232, 2); + graph.addEdge(553, 427, 2); + graph.addEdge(553, 428, 2); + graph.addEdge(553, 429, 2); + graph.addEdge(553, 233, 2); + graph.addEdge(553, 436, 2); + graph.addEdge(553, 437, 2); + graph.addEdge(553, 438, 2); + graph.addEdge(553, 210, 2); + graph.addEdge(553, 439, 2); + graph.addEdge(553, 137, 2); + graph.addEdge(553, 116, 2); + graph.addEdge(553, 117, 2); + graph.addEdge(553, 46, 2); + graph.addEdge(553, 47, 2); + graph.addEdge(553, 64, 2); + graph.addEdge(553, 65, 2); + graph.addEdge(553, 122, 2); + graph.addEdge(553, 66, 2); + graph.addEdge(553, 96, 2); + graph.addEdge(553, 97, 2); + graph.addEdge(553, 98, 2); + graph.addEdge(553, 99, 2); + graph.addEdge(553, 118, 2); + graph.addEdge(553, 147, 2); + graph.addEdge(553, 148, 2); + graph.addEdge(553, 268, 2); + graph.addEdge(553, 119, 2); + graph.addEdge(553, 225, 2); + graph.addEdge(553, 226, 2); + graph.addEdge(553, 411, 2); + graph.addEdge(553, 412, 2); + graph.addEdge(553, 516, 2); + graph.addEdge(553, 413, 2); + graph.addEdge(553, 414, 2); + graph.addEdge(553, 130, 2); + graph.addEdge(553, 227, 2); + graph.addEdge(553, 415, 2); + graph.addEdge(535, 553, 4); + graph.removeEdge(535, 135, 2); + graph.removeEdge(535, 136, 2); + graph.removeEdge(535, 248, 2); + graph.removeEdge(535, 249, 2); + graph.removeEdge(535, 360, 2); + graph.removeEdge(535, 361, 2); + graph.removeEdge(535, 362, 2); + graph.removeEdge(535, 453, 2); + graph.removeEdge(535, 454, 2); + graph.removeEdge(535, 455, 2); + graph.removeEdge(535, 456, 2); + graph.removeEdge(535, 457, 2); + graph.removeEdge(535, 458, 2); + graph.removeEdge(535, 363, 2); + graph.removeEdge(535, 250, 2); + graph.removeEdge(535, 357, 2); + graph.removeEdge(535, 358, 2); + graph.removeEdge(535, 443, 2); + graph.removeEdge(535, 359, 2); + graph.removeEdge(535, 433, 2); + graph.removeEdge(535, 434, 2); + graph.removeEdge(535, 435, 2); + graph.removeEdge(535, 436, 2); + graph.removeEdge(535, 437, 2); + graph.removeEdge(535, 438, 2); + graph.removeEdge(535, 439, 2); + graph.removeEdge(535, 137, 2); + graph.addEdge(538, 553, 4); + graph.removeEdge(538, 135, 2); + graph.removeEdge(538, 136, 2); + graph.removeEdge(538, 248, 2); + graph.removeEdge(538, 249, 2); + graph.removeEdge(538, 360, 2); + graph.removeEdge(538, 361, 2); + graph.removeEdge(538, 362, 2); + graph.removeEdge(538, 453, 2); + graph.removeEdge(538, 454, 2); + graph.removeEdge(538, 455, 2); + graph.removeEdge(538, 456, 2); + graph.removeEdge(538, 457, 2); + graph.removeEdge(538, 458, 2); + graph.removeEdge(538, 363, 2); + graph.removeEdge(538, 250, 2); + graph.removeEdge(538, 357, 2); + graph.removeEdge(538, 358, 2); + graph.removeEdge(538, 443, 2); + graph.removeEdge(538, 359, 2); + graph.removeEdge(538, 433, 2); + graph.removeEdge(538, 434, 2); + graph.removeEdge(538, 435, 2); + graph.removeEdge(538, 436, 2); + graph.removeEdge(538, 437, 2); + graph.removeEdge(538, 438, 2); + graph.removeEdge(538, 439, 2); + graph.removeEdge(538, 137, 2); + graph.addEdge(553, 248, 1); + graph.addEdge(553, 465, 2); + graph.addEdge(553, 360, 1); + graph.addEdge(553, 453, 1); + graph.addEdge(553, 357, 1); + graph.addEdge(553, 443, 1); + graph.addEdge(553, 433, 1); + graph.addEdge(554, 377, 1); + graph.addEdge(554, 377, 2); + graph.addEdge(554, 378, 2); + graph.addEdge(554, 488, 2); + graph.addEdge(554, 379, 2); + graph.addEdge(554, 503, 2); + graph.addEdge(554, 504, 2); + graph.addEdge(554, 512, 2); + graph.addEdge(554, 513, 2); + graph.addEdge(554, 209, 2); + graph.addEdge(554, 380, 2); + graph.addEdge(554, 475, 2); + graph.addEdge(554, 476, 2); + graph.addEdge(554, 381, 2); + graph.addEdge(554, 482, 2); + graph.addEdge(554, 483, 2); + graph.addEdge(554, 382, 2); + graph.addEdge(554, 505, 2); + graph.addEdge(554, 506, 2); + graph.addEdge(532, 554, 4); + graph.addEdge(535, 554, 4); + graph.addEdge(538, 554, 4); + graph.addEdge(541, 554, 4); + graph.addEdge(550, 554, 4); + graph.removeEdge(550, 377, 2); + graph.removeEdge(550, 378, 2); + graph.removeEdge(550, 488, 2); + graph.removeEdge(550, 379, 2); + graph.removeEdge(550, 503, 2); + graph.removeEdge(550, 504, 2); + graph.removeEdge(550, 512, 2); + graph.removeEdge(550, 513, 2); + graph.removeEdge(550, 209, 2); + graph.removeEdge(550, 380, 2); + graph.removeEdge(550, 475, 2); + graph.removeEdge(550, 476, 2); + graph.removeEdge(550, 381, 2); + graph.removeEdge(550, 482, 2); + graph.removeEdge(550, 483, 2); + graph.removeEdge(550, 382, 2); + graph.removeEdge(550, 505, 2); + graph.removeEdge(550, 506, 2); + graph.addEdge(554, 488, 1); + graph.addEdge(554, 503, 1); + graph.addEdge(554, 512, 1); + graph.addEdge(554, 475, 1); + graph.addEdge(554, 476, 2); + graph.addEdge(554, 482, 1); + graph.addEdge(554, 505, 1); + graph.addEdge(554, 398, 1); + graph.addEdge(554, 398, 2); + graph.addEdge(554, 399, 2); + graph.addEdge(554, 440, 2); + graph.addEdge(554, 441, 2); + graph.addEdge(554, 518, 2); + graph.addEdge(554, 519, 2); + graph.addEdge(554, 251, 2); + graph.addEdge(554, 252, 2); + graph.addEdge(554, 217, 2); + graph.addEdge(554, 218, 2); + graph.addEdge(554, 241, 2); + graph.addEdge(554, 242, 2); + graph.addEdge(554, 355, 2); + graph.addEdge(554, 356, 2); + graph.addEdge(554, 432, 2); + graph.addEdge(554, 219, 2); + graph.addEdge(554, 366, 2); + graph.addEdge(554, 367, 2); + graph.addEdge(554, 220, 2); + graph.addEdge(554, 368, 2); + graph.addEdge(554, 253, 2); + graph.addEdge(554, 386, 2); + graph.addEdge(554, 520, 2); + graph.addEdge(554, 526, 2); + graph.addEdge(554, 527, 2); + graph.addEdge(554, 528, 2); + graph.addEdge(554, 529, 2); + graph.addEdge(554, 521, 2); + graph.addEdge(554, 522, 2); + graph.addEdge(554, 421, 2); + graph.addEdge(554, 442, 2); + graph.addEdge(554, 523, 2); + graph.addEdge(554, 400, 2); + graph.removeEdge(550, 398, 2); + graph.removeEdge(550, 399, 2); + graph.removeEdge(550, 440, 2); + graph.removeEdge(550, 441, 2); + graph.removeEdge(550, 518, 2); + graph.removeEdge(550, 519, 2); + graph.removeEdge(550, 251, 2); + graph.removeEdge(550, 252, 2); + graph.removeEdge(550, 217, 2); + graph.removeEdge(550, 218, 2); + graph.removeEdge(550, 241, 2); + graph.removeEdge(550, 242, 2); + graph.removeEdge(550, 355, 2); + graph.removeEdge(550, 356, 2); + graph.removeEdge(550, 432, 2); + graph.removeEdge(550, 219, 2); + graph.removeEdge(550, 366, 2); + graph.removeEdge(550, 367, 2); + graph.removeEdge(550, 220, 2); + graph.removeEdge(550, 368, 2); + graph.removeEdge(550, 253, 2); + graph.removeEdge(550, 386, 2); + graph.removeEdge(550, 520, 2); + graph.removeEdge(550, 526, 2); + graph.removeEdge(550, 527, 2); + graph.removeEdge(550, 528, 2); + graph.removeEdge(550, 529, 2); + graph.removeEdge(550, 521, 2); + graph.removeEdge(550, 522, 2); + graph.removeEdge(550, 421, 2); + graph.removeEdge(550, 442, 2); + graph.removeEdge(550, 523, 2); + graph.removeEdge(550, 400, 2); + graph.addEdge(554, 440, 1); + graph.addEdge(554, 528, 2); + graph.addEdge(554, 518, 1); + graph.addEdge(554, 526, 1); + graph.addEdge(554, 528, 1); + graph.addEdge(554, 421, 1); + graph.addEdge(554, 523, 1); + graph.addEdge(554, 165, 1); + graph.addEdge(554, 165, 2); + graph.addEdge(554, 166, 2); + graph.addEdge(554, 274, 2); + graph.addEdge(554, 275, 2); + graph.addEdge(554, 371, 2); + graph.addEdge(554, 372, 2); + graph.addEdge(554, 461, 2); + graph.addEdge(554, 462, 2); + graph.addEdge(554, 501, 2); + graph.addEdge(554, 502, 2); + graph.addEdge(554, 373, 2); + graph.addEdge(554, 481, 2); + graph.addEdge(554, 374, 2); + graph.addEdge(554, 464, 2); + graph.addEdge(554, 465, 2); + graph.addEdge(554, 375, 2); + graph.addEdge(554, 484, 2); + graph.addEdge(554, 485, 2); + graph.addEdge(554, 376, 2); + graph.addEdge(554, 486, 2); + graph.addEdge(554, 487, 2); + graph.addEdge(554, 276, 2); + graph.addEdge(554, 482, 2); + graph.addEdge(554, 277, 2); + graph.addEdge(554, 167, 2); + graph.addEdge(554, 272, 2); + graph.addEdge(554, 273, 2); + graph.addEdge(554, 369, 2); + graph.addEdge(554, 370, 2); + graph.addEdge(554, 463, 2); + graph.addEdge(554, 168, 2); + graph.addEdge(554, 278, 2); + graph.addEdge(554, 279, 2); + graph.addEdge(554, 169, 2); + graph.addEdge(554, 282, 2); + graph.addEdge(554, 283, 2); + graph.addEdge(554, 170, 2); + graph.addEdge(554, 280, 2); + graph.addEdge(554, 281, 2); + graph.removeEdge(550, 165, 2); + graph.removeEdge(550, 166, 2); + graph.removeEdge(550, 274, 2); + graph.removeEdge(550, 275, 2); + graph.removeEdge(550, 371, 2); + graph.removeEdge(550, 372, 2); + graph.removeEdge(550, 461, 2); + graph.removeEdge(550, 462, 2); + graph.removeEdge(550, 501, 2); + graph.removeEdge(550, 502, 2); + graph.removeEdge(550, 373, 2); + graph.removeEdge(550, 481, 2); + graph.removeEdge(550, 374, 2); + graph.removeEdge(550, 464, 2); + graph.removeEdge(550, 465, 2); + graph.removeEdge(550, 375, 2); + graph.removeEdge(550, 484, 2); + graph.removeEdge(550, 485, 2); + graph.removeEdge(550, 376, 2); + graph.removeEdge(550, 486, 2); + graph.removeEdge(550, 487, 2); + graph.removeEdge(550, 276, 2); + graph.removeEdge(550, 277, 2); + graph.removeEdge(550, 167, 2); + graph.removeEdge(550, 272, 2); + graph.removeEdge(550, 273, 2); + graph.removeEdge(550, 369, 2); + graph.removeEdge(550, 370, 2); + graph.removeEdge(550, 463, 2); + graph.removeEdge(550, 168, 2); + graph.removeEdge(550, 278, 2); + graph.removeEdge(550, 279, 2); + graph.removeEdge(550, 169, 2); + graph.removeEdge(550, 282, 2); + graph.removeEdge(550, 283, 2); + graph.removeEdge(550, 170, 2); + graph.removeEdge(550, 280, 2); + graph.removeEdge(550, 281, 2); + graph.addEdge(554, 274, 1); + graph.addEdge(554, 371, 2); + graph.addEdge(554, 372, 2); + graph.addEdge(554, 368, 2); + graph.addEdge(554, 373, 2); + graph.addEdge(554, 465, 2); + graph.addEdge(554, 375, 2); + graph.addEdge(554, 376, 2); + graph.addEdge(554, 377, 2); + graph.addEdge(554, 378, 2); + graph.addEdge(554, 379, 2); + // this edge already exists + assert(!graph.addEdge(532, 554, 4)); + graph.addEdge(554, 371, 1); + graph.addEdge(554, 461, 1); + graph.addEdge(554, 501, 1); + graph.addEdge(554, 481, 1); + graph.addEdge(554, 464, 1); + graph.addEdge(554, 484, 1); + graph.addEdge(554, 486, 1); + graph.addEdge(554, 272, 1); + graph.addEdge(554, 369, 2); + graph.addEdge(554, 370, 2); + graph.addEdge(554, 369, 1); + graph.addEdge(554, 463, 1); + graph.addEdge(554, 278, 1); + graph.addEdge(554, 282, 1); + graph.addEdge(554, 280, 1); + graph.addEdge(554, 353, 1); + graph.addEdge(554, 353, 2); + graph.addEdge(554, 354, 2); + graph.removeEdge(550, 353, 2); + graph.removeEdge(550, 354, 2); + graph.addEdge(554, 121, 1); + graph.addEdge(554, 121, 2); + graph.removeEdge(550, 121, 2); + graph.addEdge(554, 130, 1); + graph.addEdge(554, 130, 2); + graph.removeEdge(532, 130, 2); + graph.removeEdge(550, 130, 2); + graph.addEdge(554, 147, 1); + graph.addEdge(554, 147, 2); + graph.addEdge(554, 148, 2); + graph.addEdge(554, 268, 2); + graph.removeEdge(532, 147, 2); + graph.removeEdge(532, 148, 2); + graph.removeEdge(532, 268, 2); + graph.removeEdge(550, 147, 2); + graph.removeEdge(550, 148, 2); + graph.removeEdge(550, 268, 2); + graph.addEdge(554, 268, 1); + graph.addEdge(554, 225, 1); + graph.addEdge(554, 225, 2); + graph.addEdge(554, 226, 2); + graph.addEdge(554, 411, 2); + graph.addEdge(554, 412, 2); + graph.addEdge(554, 516, 2); + graph.addEdge(554, 413, 2); + graph.addEdge(554, 217, 2); + graph.addEdge(554, 414, 2); + graph.addEdge(554, 227, 2); + graph.addEdge(554, 415, 2); + graph.removeEdge(532, 225, 2); + graph.removeEdge(532, 226, 2); + graph.removeEdge(532, 411, 2); + graph.removeEdge(532, 412, 2); + graph.removeEdge(532, 516, 2); + graph.removeEdge(532, 413, 2); + graph.removeEdge(532, 414, 2); + graph.removeEdge(532, 227, 2); + graph.removeEdge(532, 415, 2); + graph.removeEdge(550, 225, 2); + graph.removeEdge(550, 226, 2); + graph.removeEdge(550, 411, 2); + graph.removeEdge(550, 412, 2); + graph.removeEdge(550, 516, 2); + graph.removeEdge(550, 413, 2); + graph.removeEdge(550, 414, 2); + graph.removeEdge(550, 227, 2); + graph.removeEdge(550, 415, 2); + graph.addEdge(554, 411, 1); + graph.addEdge(554, 516, 1); + graph.addEdge(554, 415, 1); + graph.addEdge(555, 41, 1); + graph.addEdge(555, 41, 2); + graph.addEdge(555, 42, 2); + graph.addEdge(555, 57, 2); + graph.addEdge(555, 58, 2); + graph.addEdge(555, 92, 2); + graph.addEdge(555, 93, 2); + graph.addEdge(555, 165, 2); + graph.addEdge(555, 166, 2); + graph.addEdge(555, 274, 2); + graph.addEdge(555, 275, 2); + graph.addEdge(555, 371, 2); + graph.addEdge(555, 372, 2); + graph.addEdge(555, 461, 2); + graph.addEdge(555, 462, 2); + graph.addEdge(555, 501, 2); + graph.addEdge(555, 502, 2); + graph.addEdge(555, 440, 2); + graph.addEdge(555, 441, 2); + graph.addEdge(555, 518, 2); + graph.addEdge(555, 519, 2); + graph.addEdge(555, 251, 2); + graph.addEdge(555, 252, 2); + graph.addEdge(555, 217, 2); + graph.addEdge(555, 218, 2); + graph.addEdge(555, 241, 2); + graph.addEdge(555, 242, 2); + graph.addEdge(555, 355, 2); + graph.addEdge(555, 356, 2); + graph.addEdge(555, 432, 2); + graph.addEdge(555, 219, 2); + graph.addEdge(555, 366, 2); + graph.addEdge(555, 367, 2); + graph.addEdge(555, 220, 2); + graph.addEdge(555, 368, 2); + graph.addEdge(555, 253, 2); + graph.addEdge(555, 386, 2); + graph.addEdge(555, 520, 2); + graph.addEdge(555, 526, 2); + graph.addEdge(555, 527, 2); + graph.addEdge(555, 528, 2); + graph.addEdge(555, 529, 2); + graph.addEdge(555, 521, 2); + graph.addEdge(555, 522, 2); + graph.addEdge(555, 421, 2); + graph.addEdge(555, 442, 2); + graph.addEdge(555, 523, 2); + graph.addEdge(555, 373, 2); + graph.addEdge(555, 481, 2); + graph.addEdge(555, 374, 2); + graph.addEdge(555, 464, 2); + graph.addEdge(555, 465, 2); + graph.addEdge(555, 375, 2); + graph.addEdge(555, 484, 2); + graph.addEdge(555, 485, 2); + graph.addEdge(555, 376, 2); + graph.addEdge(555, 486, 2); + graph.addEdge(555, 487, 2); + graph.addEdge(555, 276, 2); + graph.addEdge(555, 377, 2); + graph.addEdge(555, 378, 2); + graph.addEdge(555, 488, 2); + graph.addEdge(555, 379, 2); + graph.addEdge(555, 503, 2); + graph.addEdge(555, 504, 2); + graph.addEdge(555, 512, 2); + graph.addEdge(555, 513, 2); + graph.addEdge(555, 209, 2); + graph.addEdge(555, 380, 2); + graph.addEdge(555, 475, 2); + graph.addEdge(555, 476, 2); + graph.addEdge(555, 381, 2); + graph.addEdge(555, 482, 2); + graph.addEdge(555, 483, 2); + graph.addEdge(555, 382, 2); + graph.addEdge(555, 505, 2); + graph.addEdge(555, 506, 2); + graph.addEdge(555, 277, 2); + graph.addEdge(555, 398, 2); + graph.addEdge(555, 399, 2); + graph.addEdge(555, 400, 2); + graph.addEdge(555, 167, 2); + graph.addEdge(555, 272, 2); + graph.addEdge(555, 273, 2); + graph.addEdge(555, 369, 2); + graph.addEdge(555, 370, 2); + graph.addEdge(555, 463, 2); + graph.addEdge(555, 168, 2); + graph.addEdge(555, 278, 2); + graph.addEdge(555, 279, 2); + graph.addEdge(555, 169, 2); + graph.addEdge(555, 282, 2); + graph.addEdge(555, 283, 2); + graph.addEdge(555, 170, 2); + graph.addEdge(555, 280, 2); + graph.addEdge(555, 281, 2); + graph.addEdge(555, 94, 2); + graph.addEdge(555, 164, 2); + graph.addEdge(555, 95, 2); + graph.addEdge(555, 228, 2); + graph.addEdge(555, 59, 2); + graph.addEdge(555, 223, 2); + graph.addEdge(555, 224, 2); + graph.addEdge(555, 407, 2); + graph.addEdge(555, 408, 2); + graph.addEdge(555, 507, 2); + graph.addEdge(555, 409, 2); + graph.addEdge(555, 515, 2); + graph.addEdge(555, 410, 2); + graph.addEdge(555, 514, 2); + graph.addEdge(555, 60, 2); + graph.addEdge(555, 222, 2); + graph.addEdge(555, 61, 2); + graph.addEdge(555, 221, 2); + graph.addEdge(555, 62, 2); + graph.addEdge(555, 121, 2); + graph.addEdge(555, 63, 2); + graph.addEdge(555, 120, 2); + graph.addEdge(555, 43, 2); + graph.addEdge(555, 64, 2); + graph.addEdge(555, 65, 2); + graph.addEdge(555, 122, 2); + graph.addEdge(555, 66, 2); + graph.addEdge(555, 96, 2); + graph.addEdge(555, 97, 2); + graph.addEdge(555, 98, 2); + graph.addEdge(555, 231, 2); + graph.addEdge(555, 232, 2); + graph.addEdge(555, 427, 2); + graph.addEdge(555, 428, 2); + graph.addEdge(555, 429, 2); + graph.addEdge(555, 134, 2); + graph.addEdge(555, 233, 2); + graph.addEdge(555, 99, 2); + graph.addEdge(555, 162, 2); + graph.addEdge(555, 44, 2); + graph.addEdge(555, 85, 2); + graph.addEdge(555, 86, 2); + graph.addEdge(555, 130, 2); + graph.addEdge(555, 87, 2); + graph.addEdge(555, 147, 2); + graph.addEdge(555, 148, 2); + graph.addEdge(555, 268, 2); + graph.addEdge(555, 88, 2); + graph.addEdge(555, 225, 2); + graph.addEdge(555, 226, 2); + graph.addEdge(555, 411, 2); + graph.addEdge(555, 412, 2); + graph.addEdge(555, 516, 2); + graph.addEdge(555, 413, 2); + graph.addEdge(555, 353, 2); + graph.addEdge(555, 354, 2); + graph.addEdge(555, 414, 2); + graph.addEdge(555, 227, 2); + graph.addEdge(555, 415, 2); + graph.addEdge(555, 45, 2); + graph.addEdge(555, 67, 2); + graph.addEdge(555, 68, 2); + graph.addEdge(555, 131, 2); + graph.addEdge(555, 132, 2); + graph.addEdge(555, 133, 2); + graph.addEdge(555, 210, 2); + graph.addEdge(555, 69, 2); + graph.addEdge(535, 555, 4); + graph.removeEdge(535, 41, 2); + graph.removeEdge(535, 42, 2); + graph.removeEdge(535, 57, 2); + graph.removeEdge(535, 58, 2); + graph.removeEdge(535, 92, 2); + graph.removeEdge(535, 93, 2); + graph.removeEdge(535, 94, 2); + graph.removeEdge(535, 164, 2); + graph.removeEdge(535, 95, 2); + graph.removeEdge(535, 228, 2); + graph.removeEdge(535, 59, 2); + graph.removeEdge(535, 223, 2); + graph.removeEdge(535, 224, 2); + graph.removeEdge(535, 407, 2); + graph.removeEdge(535, 408, 2); + graph.removeEdge(535, 507, 2); + graph.removeEdge(535, 409, 2); + graph.removeEdge(535, 515, 2); + graph.removeEdge(535, 410, 2); + graph.removeEdge(535, 514, 2); + graph.removeEdge(535, 60, 2); + graph.removeEdge(535, 222, 2); + graph.removeEdge(535, 61, 2); + graph.removeEdge(535, 62, 2); + graph.removeEdge(535, 63, 2); + graph.removeEdge(535, 120, 2); + graph.removeEdge(535, 43, 2); + graph.removeEdge(535, 44, 2); + graph.removeEdge(535, 85, 2); + graph.removeEdge(535, 86, 2); + graph.removeEdge(535, 87, 2); + graph.removeEdge(535, 88, 2); + graph.removeEdge(535, 45, 2); + graph.removeEdge(535, 67, 2); + graph.removeEdge(535, 68, 2); + graph.removeEdge(535, 69, 2); + graph.addEdge(550, 555, 4); + graph.removeEdge(550, 41, 2); + graph.removeEdge(550, 42, 2); + graph.removeEdge(550, 57, 2); + graph.removeEdge(550, 58, 2); + graph.removeEdge(550, 92, 2); + graph.removeEdge(550, 93, 2); + graph.removeEdge(550, 94, 2); + graph.removeEdge(550, 164, 2); + graph.removeEdge(550, 95, 2); + graph.removeEdge(550, 228, 2); + graph.removeEdge(550, 59, 2); + graph.removeEdge(550, 223, 2); + graph.removeEdge(550, 224, 2); + graph.removeEdge(550, 407, 2); + graph.removeEdge(550, 408, 2); + graph.removeEdge(550, 507, 2); + graph.removeEdge(550, 409, 2); + graph.removeEdge(550, 515, 2); + graph.removeEdge(550, 410, 2); + graph.removeEdge(550, 514, 2); + graph.removeEdge(550, 60, 2); + graph.removeEdge(550, 222, 2); + graph.removeEdge(550, 61, 2); + graph.removeEdge(550, 221, 2); + graph.removeEdge(550, 62, 2); + graph.removeEdge(550, 63, 2); + graph.removeEdge(550, 120, 2); + graph.removeEdge(550, 43, 2); + graph.removeEdge(550, 64, 2); + graph.removeEdge(550, 65, 2); + graph.removeEdge(550, 122, 2); + graph.removeEdge(550, 66, 2); + graph.removeEdge(550, 96, 2); + graph.removeEdge(550, 97, 2); + graph.removeEdge(550, 98, 2); + graph.removeEdge(550, 231, 2); + graph.removeEdge(550, 232, 2); + graph.removeEdge(550, 427, 2); + graph.removeEdge(550, 428, 2); + graph.removeEdge(550, 429, 2); + graph.removeEdge(550, 134, 2); + graph.removeEdge(550, 233, 2); + graph.removeEdge(550, 99, 2); + graph.removeEdge(550, 162, 2); + graph.removeEdge(550, 44, 2); + graph.removeEdge(550, 85, 2); + graph.removeEdge(550, 86, 2); + graph.removeEdge(550, 87, 2); + graph.removeEdge(550, 88, 2); + graph.removeEdge(550, 45, 2); + graph.removeEdge(550, 67, 2); + graph.removeEdge(550, 68, 2); + graph.removeEdge(550, 131, 2); + graph.removeEdge(550, 132, 2); + graph.removeEdge(550, 133, 2); + graph.removeEdge(550, 210, 2); + graph.removeEdge(550, 69, 2); + graph.addEdge(555, 57, 1); + graph.addEdge(555, 92, 2); + graph.addEdge(555, 93, 2); + graph.addEdge(555, 166, 2); + graph.addEdge(555, 355, 2); + graph.addEdge(555, 486, 2); + graph.addEdge(555, 487, 2); + graph.addEdge(555, 209, 2); + graph.addEdge(555, 92, 1); + graph.addEdge(555, 164, 1); + graph.addEdge(555, 228, 1); + graph.addEdge(555, 223, 1); + graph.addEdge(555, 407, 1); + graph.addEdge(555, 507, 1); + graph.addEdge(555, 515, 1); + graph.addEdge(555, 514, 1); + graph.addEdge(555, 222, 1); + graph.addEdge(555, 120, 1); + graph.addEdge(555, 67, 1); + graph.addEdge(556, 39, 1); + graph.addEdge(556, 39, 2); + graph.addEdge(556, 40, 2); + graph.addEdge(556, 179, 2); + graph.addEdge(556, 180, 2); + graph.addEdge(556, 292, 2); + graph.addEdge(556, 293, 2); + graph.addEdge(556, 377, 2); + graph.addEdge(556, 378, 2); + graph.addEdge(556, 488, 2); + graph.addEdge(556, 379, 2); + graph.addEdge(556, 503, 2); + graph.addEdge(556, 504, 2); + graph.addEdge(556, 512, 2); + graph.addEdge(556, 513, 2); + graph.addEdge(556, 209, 2); + graph.addEdge(556, 380, 2); + graph.addEdge(556, 475, 2); + graph.addEdge(556, 476, 2); + graph.addEdge(556, 381, 2); + graph.addEdge(556, 482, 2); + graph.addEdge(556, 483, 2); + graph.addEdge(556, 382, 2); + graph.addEdge(556, 505, 2); + graph.addEdge(556, 506, 2); + graph.addEdge(556, 294, 2); + graph.addEdge(556, 467, 2); + graph.addEdge(556, 468, 2); + graph.addEdge(556, 295, 2); + graph.addEdge(556, 452, 2); + graph.addEdge(556, 296, 2); + graph.addEdge(556, 466, 2); + graph.addEdge(556, 297, 2); + graph.addEdge(556, 451, 2); + graph.addEdge(556, 298, 2); + graph.addEdge(556, 447, 2); + graph.addEdge(556, 448, 2); + graph.addEdge(556, 449, 2); + graph.addEdge(556, 398, 2); + graph.addEdge(556, 399, 2); + graph.addEdge(556, 440, 2); + graph.addEdge(556, 441, 2); + graph.addEdge(556, 518, 2); + graph.addEdge(556, 519, 2); + graph.addEdge(556, 251, 2); + graph.addEdge(556, 252, 2); + graph.addEdge(556, 217, 2); + graph.addEdge(556, 218, 2); + graph.addEdge(556, 241, 2); + graph.addEdge(556, 242, 2); + graph.addEdge(556, 355, 2); + graph.addEdge(556, 356, 2); + graph.addEdge(556, 432, 2); + graph.addEdge(556, 219, 2); + graph.addEdge(556, 366, 2); + graph.addEdge(556, 367, 2); + graph.addEdge(556, 220, 2); + graph.addEdge(556, 368, 2); + graph.addEdge(556, 253, 2); + graph.addEdge(556, 386, 2); + graph.addEdge(556, 520, 2); + graph.addEdge(556, 526, 2); + graph.addEdge(556, 527, 2); + graph.addEdge(556, 528, 2); + graph.addEdge(556, 529, 2); + graph.addEdge(556, 521, 2); + graph.addEdge(556, 522, 2); + graph.addEdge(556, 421, 2); + graph.addEdge(556, 442, 2); + graph.addEdge(556, 523, 2); + graph.addEdge(556, 400, 2); + graph.addEdge(556, 450, 2); + graph.addEdge(556, 165, 2); + graph.addEdge(556, 166, 2); + graph.addEdge(556, 274, 2); + graph.addEdge(556, 275, 2); + graph.addEdge(556, 371, 2); + graph.addEdge(556, 372, 2); + graph.addEdge(556, 461, 2); + graph.addEdge(556, 462, 2); + graph.addEdge(556, 501, 2); + graph.addEdge(556, 502, 2); + graph.addEdge(556, 373, 2); + graph.addEdge(556, 481, 2); + graph.addEdge(556, 374, 2); + graph.addEdge(556, 464, 2); + graph.addEdge(556, 465, 2); + graph.addEdge(556, 375, 2); + graph.addEdge(556, 484, 2); + graph.addEdge(556, 485, 2); + graph.addEdge(556, 376, 2); + graph.addEdge(556, 486, 2); + graph.addEdge(556, 487, 2); + graph.addEdge(556, 276, 2); + graph.addEdge(556, 277, 2); + graph.addEdge(556, 167, 2); + graph.addEdge(556, 272, 2); + graph.addEdge(556, 273, 2); + graph.addEdge(556, 369, 2); + graph.addEdge(556, 370, 2); + graph.addEdge(556, 463, 2); + graph.addEdge(556, 168, 2); + graph.addEdge(556, 278, 2); + graph.addEdge(556, 279, 2); + graph.addEdge(556, 169, 2); + graph.addEdge(556, 282, 2); + graph.addEdge(556, 283, 2); + graph.addEdge(556, 170, 2); + graph.addEdge(556, 280, 2); + graph.addEdge(556, 281, 2); + graph.addEdge(556, 181, 2); + graph.addEdge(556, 320, 2); + graph.addEdge(556, 182, 2); + graph.addEdge(556, 123, 2); + graph.addEdge(556, 124, 2); + graph.addEdge(556, 229, 2); + graph.addEdge(556, 230, 2); + graph.addEdge(556, 353, 2); + graph.addEdge(556, 354, 2); + graph.addEdge(556, 125, 2); + graph.addEdge(556, 183, 2); + graph.addEdge(556, 289, 2); + graph.addEdge(556, 290, 2); + graph.addEdge(556, 89, 2); + graph.addEdge(556, 90, 2); + graph.addEdge(556, 91, 2); + graph.addEdge(556, 291, 2); + graph.addEdge(556, 126, 2); + graph.addEdge(556, 127, 2); + graph.addEdge(556, 202, 2); + graph.addEdge(556, 203, 2); + graph.addEdge(556, 307, 2); + graph.addEdge(556, 204, 2); + graph.addEdge(556, 231, 2); + graph.addEdge(556, 232, 2); + graph.addEdge(556, 427, 2); + graph.addEdge(556, 428, 2); + graph.addEdge(556, 429, 2); + graph.addEdge(556, 134, 2); + graph.addEdge(556, 233, 2); + graph.addEdge(556, 205, 2); + graph.addEdge(556, 162, 2); + graph.addEdge(556, 206, 2); + graph.addEdge(556, 383, 2); + graph.addEdge(556, 384, 2); + graph.addEdge(556, 385, 2); + graph.addEdge(556, 474, 2); + graph.addEdge(556, 207, 2); + graph.addEdge(556, 323, 2); + graph.addEdge(556, 208, 2); + graph.addEdge(556, 308, 2); + graph.addEdge(556, 309, 2); + graph.addEdge(556, 403, 2); + graph.addEdge(556, 404, 2); + graph.addEdge(556, 405, 2); + graph.addEdge(556, 210, 2); + graph.addEdge(556, 406, 2); + graph.addEdge(556, 310, 2); + graph.addEdge(556, 121, 2); + graph.addEdge(556, 311, 2); + graph.addEdge(556, 401, 2); + graph.addEdge(556, 402, 2); + graph.addEdge(556, 128, 2); + graph.addEdge(556, 173, 2); + graph.addEdge(556, 174, 2); + graph.addEdge(556, 163, 2); + graph.addEdge(556, 175, 2); + graph.addEdge(556, 305, 2); + graph.addEdge(556, 306, 2); + graph.addEdge(556, 391, 2); + graph.addEdge(556, 129, 2); + graph.addEdge(556, 131, 2); + graph.addEdge(556, 132, 2); + graph.addEdge(556, 133, 2); + graph.addEdge(556, 184, 2); + graph.addEdge(556, 302, 2); + graph.addEdge(556, 303, 2); + graph.addEdge(556, 304, 2); + graph.addEdge(556, 211, 2); + graph.addEdge(556, 212, 2); + graph.addEdge(556, 213, 2); + graph.addEdge(556, 332, 2); + graph.addEdge(556, 333, 2); + graph.addEdge(556, 334, 2); + graph.addEdge(556, 335, 2); + graph.addEdge(556, 397, 2); + graph.addEdge(556, 214, 2); + graph.addEdge(556, 185, 2); + graph.addEdge(556, 284, 2); + graph.addEdge(556, 285, 2); + graph.addEdge(556, 186, 2); + graph.addEdge(556, 322, 2); + graph.addEdge(556, 187, 2); + graph.addEdge(556, 286, 2); + graph.addEdge(556, 287, 2); + graph.addEdge(556, 288, 2); + graph.addEdge(556, 416, 2); + graph.addEdge(556, 417, 2); + graph.addEdge(556, 517, 2); + graph.addEdge(556, 418, 2); + graph.addEdge(556, 327, 2); + graph.addEdge(556, 188, 2); + graph.addEdge(556, 344, 2); + graph.addEdge(556, 345, 2); + graph.addEdge(556, 346, 2); + graph.addEdge(556, 236, 2); + graph.addEdge(556, 237, 2); + graph.addEdge(556, 122, 2); + graph.addEdge(556, 238, 2); + graph.addEdge(556, 254, 2); + graph.addEdge(556, 255, 2); + graph.addEdge(556, 239, 2); + graph.addEdge(556, 240, 2); + graph.addEdge(556, 189, 2); + graph.addEdge(556, 312, 2); + graph.addEdge(556, 313, 2); + graph.addEdge(556, 159, 2); + graph.addEdge(556, 160, 2); + graph.addEdge(556, 161, 2); + graph.addEdge(556, 314, 2); + graph.addEdge(556, 315, 2); + graph.addEdge(556, 190, 2); + graph.addEdge(556, 107, 2); + graph.addEdge(556, 108, 2); + graph.addEdge(556, 109, 2); + graph.addEdge(556, 110, 2); + graph.addEdge(556, 191, 2); + graph.addEdge(556, 336, 2); + graph.addEdge(556, 337, 2); + graph.addEdge(556, 471, 2); + graph.addEdge(556, 472, 2); + graph.addEdge(556, 473, 2); + graph.addEdge(556, 338, 2); + graph.addEdge(556, 339, 2); + graph.addEdge(556, 489, 2); + graph.addEdge(556, 490, 2); + graph.addEdge(556, 491, 2); + graph.addEdge(556, 340, 2); + graph.addEdge(556, 422, 2); + graph.addEdge(556, 423, 2); + graph.addEdge(556, 424, 2); + graph.addEdge(556, 341, 2); + graph.addEdge(556, 494, 2); + graph.addEdge(556, 495, 2); + graph.addEdge(556, 496, 2); + graph.addEdge(556, 342, 2); + graph.addEdge(556, 343, 2); + graph.addEdge(556, 192, 2); + graph.addEdge(556, 321, 2); + graph.addEdge(556, 193, 2); + graph.addEdge(556, 347, 2); + graph.addEdge(556, 348, 2); + graph.addEdge(556, 469, 2); + graph.addEdge(556, 470, 2); + graph.addEdge(556, 508, 2); + graph.addEdge(556, 509, 2); + graph.addEdge(556, 349, 2); + graph.addEdge(556, 419, 2); + graph.addEdge(556, 420, 2); + graph.addEdge(556, 350, 2); + graph.addEdge(556, 497, 2); + graph.addEdge(556, 351, 2); + graph.addEdge(556, 425, 2); + graph.addEdge(556, 426, 2); + graph.addEdge(556, 352, 2); + graph.addEdge(556, 492, 2); + graph.addEdge(556, 493, 2); + graph.addEdge(556, 194, 2); + graph.addEdge(556, 316, 2); + graph.addEdge(556, 317, 2); + graph.addEdge(556, 392, 2); + graph.addEdge(556, 393, 2); + graph.addEdge(556, 318, 2); + graph.addEdge(556, 319, 2); + graph.addEdge(556, 195, 2); + graph.addEdge(556, 196, 2); + graph.addEdge(556, 197, 2); + graph.addEdge(556, 387, 2); + graph.addEdge(556, 388, 2); + graph.addEdge(556, 498, 2); + graph.addEdge(556, 499, 2); + graph.addEdge(556, 500, 2); + graph.addEdge(556, 389, 2); + graph.addEdge(556, 390, 2); + graph.addEdge(556, 198, 2); + graph.addEdge(556, 199, 2); + graph.addEdge(556, 328, 2); + graph.addEdge(556, 329, 2); + graph.addEdge(556, 394, 2); + graph.addEdge(556, 395, 2); + graph.addEdge(556, 396, 2); + graph.addEdge(556, 330, 2); + graph.addEdge(556, 331, 2); + graph.addEdge(556, 200, 2); + graph.addEdge(556, 201, 2); + graph.addEdge(532, 556, 4); + graph.removeEdge(532, 39, 2); + graph.removeEdge(532, 40, 2); + graph.addEdge(535, 556, 4); + graph.removeEdge(535, 39, 2); + graph.removeEdge(535, 40, 2); + graph.addEdge(557, 176, 1); + graph.addEdge(557, 176, 2); + graph.addEdge(557, 177, 2); + graph.addEdge(557, 299, 2); + graph.addEdge(557, 300, 2); + graph.addEdge(557, 269, 2); + graph.addEdge(557, 270, 2); + graph.addEdge(557, 430, 2); + graph.addEdge(557, 431, 2); + graph.addEdge(557, 477, 2); + graph.addEdge(557, 478, 2); + graph.addEdge(557, 510, 2); + graph.addEdge(557, 511, 2); + graph.addEdge(557, 525, 2); + graph.addEdge(557, 479, 2); + graph.addEdge(557, 386, 2); + graph.addEdge(557, 480, 2); + graph.addEdge(557, 324, 2); + graph.addEdge(557, 325, 2); + graph.addEdge(557, 217, 2); + graph.addEdge(557, 218, 2); + graph.addEdge(557, 241, 2); + graph.addEdge(557, 242, 2); + graph.addEdge(557, 355, 2); + graph.addEdge(557, 356, 2); + graph.addEdge(557, 432, 2); + graph.addEdge(557, 219, 2); + graph.addEdge(557, 366, 2); + graph.addEdge(557, 367, 2); + graph.addEdge(557, 220, 2); + graph.addEdge(557, 368, 2); + graph.addEdge(557, 326, 2); + graph.addEdge(557, 134, 2); + graph.addEdge(557, 301, 2); + graph.addEdge(557, 444, 2); + graph.addEdge(557, 445, 2); + graph.addEdge(557, 524, 2); + graph.addEdge(557, 446, 2); + graph.addEdge(557, 178, 2); + graph.addEdge(557, 243, 2); + graph.addEdge(557, 244, 2); + graph.addEdge(557, 209, 2); + graph.addEdge(557, 245, 2); + graph.addEdge(557, 131, 2); + graph.addEdge(557, 132, 2); + graph.addEdge(557, 251, 2); + graph.addEdge(557, 252, 2); + graph.addEdge(557, 253, 2); + graph.addEdge(557, 133, 2); + graph.addEdge(557, 210, 2); + graph.addEdge(557, 246, 2); + graph.addEdge(557, 323, 2); + graph.addEdge(557, 247, 2); + graph.addEdge(547, 557, 4); + graph.removeEdge(547, 176, 2); + graph.removeEdge(547, 177, 2); + graph.removeEdge(547, 299, 2); + graph.removeEdge(547, 300, 2); + graph.removeEdge(547, 269, 2); + graph.removeEdge(547, 270, 2); + graph.removeEdge(547, 430, 2); + graph.removeEdge(547, 431, 2); + graph.removeEdge(547, 477, 2); + graph.removeEdge(547, 478, 2); + graph.removeEdge(547, 510, 2); + graph.removeEdge(547, 511, 2); + graph.removeEdge(547, 525, 2); + graph.removeEdge(547, 479, 2); + graph.removeEdge(547, 386, 2); + graph.removeEdge(547, 480, 2); + graph.removeEdge(547, 324, 2); + graph.removeEdge(547, 325, 2); + graph.removeEdge(547, 217, 2); + graph.removeEdge(547, 218, 2); + graph.removeEdge(547, 241, 2); + graph.removeEdge(547, 242, 2); + graph.removeEdge(547, 355, 2); + graph.removeEdge(547, 356, 2); + graph.removeEdge(547, 432, 2); + graph.removeEdge(547, 219, 2); + graph.removeEdge(547, 366, 2); + graph.removeEdge(547, 367, 2); + graph.removeEdge(547, 220, 2); + graph.removeEdge(547, 368, 2); + graph.removeEdge(547, 326, 2); + graph.removeEdge(547, 134, 2); + graph.removeEdge(547, 301, 2); + graph.removeEdge(547, 444, 2); + graph.removeEdge(547, 445, 2); + graph.removeEdge(547, 524, 2); + graph.removeEdge(547, 446, 2); + graph.removeEdge(547, 178, 2); + graph.removeEdge(547, 243, 2); + graph.removeEdge(547, 244, 2); + graph.removeEdge(547, 209, 2); + graph.removeEdge(547, 245, 2); + graph.removeEdge(547, 131, 2); + graph.removeEdge(547, 132, 2); + graph.removeEdge(547, 251, 2); + graph.removeEdge(547, 252, 2); + graph.removeEdge(547, 253, 2); + graph.removeEdge(547, 133, 2); + graph.removeEdge(547, 210, 2); + graph.removeEdge(547, 246, 2); + graph.removeEdge(547, 323, 2); + graph.removeEdge(547, 247, 2); + graph.addEdge(550, 557, 4); + graph.removeEdge(550, 176, 2); + graph.removeEdge(550, 177, 2); + graph.removeEdge(550, 299, 2); + graph.removeEdge(550, 300, 2); + graph.removeEdge(550, 269, 2); + graph.removeEdge(550, 270, 2); + graph.removeEdge(550, 430, 2); + graph.removeEdge(550, 431, 2); + graph.removeEdge(550, 477, 2); + graph.removeEdge(550, 478, 2); + graph.removeEdge(550, 510, 2); + graph.removeEdge(550, 511, 2); + graph.removeEdge(550, 525, 2); + graph.removeEdge(550, 479, 2); + graph.removeEdge(550, 480, 2); + graph.removeEdge(550, 324, 2); + graph.removeEdge(550, 325, 2); + graph.removeEdge(550, 326, 2); + graph.removeEdge(550, 301, 2); + graph.removeEdge(550, 444, 2); + graph.removeEdge(550, 445, 2); + graph.removeEdge(550, 524, 2); + graph.removeEdge(550, 446, 2); + graph.removeEdge(550, 178, 2); + graph.removeEdge(550, 243, 2); + graph.removeEdge(550, 244, 2); + graph.removeEdge(550, 245, 2); + graph.removeEdge(550, 246, 2); + graph.removeEdge(550, 323, 2); + graph.removeEdge(550, 247, 2); + graph.addEdge(557, 299, 1); + graph.addEdge(557, 510, 2); + graph.addEdge(557, 217, 2); + graph.addEdge(557, 355, 2); + graph.addEdge(557, 444, 1); + graph.addEdge(557, 524, 1); + graph.addEdge(558, 269, 1); + graph.addEdge(558, 269, 2); + graph.addEdge(558, 270, 2); + graph.addEdge(558, 430, 2); + graph.addEdge(558, 431, 2); + graph.addEdge(558, 477, 2); + graph.addEdge(558, 478, 2); + graph.addEdge(558, 510, 2); + graph.addEdge(558, 511, 2); + graph.addEdge(558, 525, 2); + graph.addEdge(558, 479, 2); + graph.addEdge(558, 386, 2); + graph.addEdge(558, 480, 2); + graph.addEdge(558, 324, 2); + graph.addEdge(558, 325, 2); + graph.addEdge(558, 217, 2); + graph.addEdge(558, 218, 2); + graph.addEdge(558, 241, 2); + graph.addEdge(558, 242, 2); + graph.addEdge(558, 355, 2); + graph.addEdge(558, 356, 2); + graph.addEdge(558, 432, 2); + graph.addEdge(558, 219, 2); + graph.addEdge(558, 366, 2); + graph.addEdge(558, 367, 2); + graph.addEdge(558, 220, 2); + graph.addEdge(558, 368, 2); + graph.addEdge(558, 326, 2); + graph.addEdge(558, 134, 2); + graph.addEdge(544, 558, 4); + graph.removeEdge(544, 269, 2); + graph.removeEdge(544, 270, 2); + graph.removeEdge(544, 430, 2); + graph.removeEdge(544, 431, 2); + graph.removeEdge(544, 477, 2); + graph.removeEdge(544, 478, 2); + graph.removeEdge(544, 510, 2); + graph.removeEdge(544, 511, 2); + graph.removeEdge(544, 525, 2); + graph.removeEdge(544, 479, 2); + graph.removeEdge(544, 386, 2); + graph.removeEdge(544, 480, 2); + graph.removeEdge(544, 324, 2); + graph.removeEdge(544, 325, 2); + graph.removeEdge(544, 217, 2); + graph.removeEdge(544, 218, 2); + graph.removeEdge(544, 241, 2); + graph.removeEdge(544, 242, 2); + graph.removeEdge(544, 355, 2); + graph.removeEdge(544, 356, 2); + graph.removeEdge(544, 432, 2); + graph.removeEdge(544, 219, 2); + graph.removeEdge(544, 366, 2); + graph.removeEdge(544, 367, 2); + graph.removeEdge(544, 220, 2); + graph.removeEdge(544, 368, 2); + graph.removeEdge(544, 326, 2); + graph.removeEdge(544, 134, 2); + graph.addEdge(547, 558, 4); + graph.addEdge(550, 558, 4); + graph.addEdge(558, 430, 1); + graph.addEdge(558, 355, 2); + graph.addEdge(558, 356, 2); + graph.addEdge(558, 477, 1); + graph.addEdge(558, 510, 1); + graph.addEdge(558, 525, 1); + graph.removeEdge(556, 179, 2); + graph.removeEdge(556, 180, 2); + graph.removeEdge(556, 292, 2); + graph.removeEdge(556, 293, 2); + graph.removeEdge(556, 377, 2); + graph.removeEdge(556, 378, 2); + graph.removeEdge(556, 488, 2); + graph.removeEdge(556, 379, 2); + graph.removeEdge(556, 503, 2); + graph.removeEdge(556, 504, 2); + graph.removeEdge(556, 512, 2); + graph.removeEdge(556, 513, 2); + graph.removeEdge(556, 209, 2); + graph.removeEdge(556, 380, 2); + graph.removeEdge(556, 475, 2); + graph.removeEdge(556, 476, 2); + graph.removeEdge(556, 381, 2); + graph.removeEdge(556, 482, 2); + graph.removeEdge(556, 483, 2); + graph.removeEdge(556, 382, 2); + graph.removeEdge(556, 505, 2); + graph.removeEdge(556, 506, 2); + graph.removeEdge(556, 294, 2); + graph.removeEdge(556, 467, 2); + graph.removeEdge(556, 468, 2); + graph.removeEdge(556, 295, 2); + graph.removeEdge(556, 452, 2); + graph.removeEdge(556, 296, 2); + graph.removeEdge(556, 466, 2); + graph.removeEdge(556, 297, 2); + graph.removeEdge(556, 451, 2); + graph.removeEdge(556, 298, 2); + graph.removeEdge(556, 447, 2); + graph.removeEdge(556, 448, 2); + graph.removeEdge(556, 449, 2); + graph.removeEdge(556, 398, 2); + graph.removeEdge(556, 399, 2); + graph.removeEdge(556, 440, 2); + graph.removeEdge(556, 441, 2); + graph.removeEdge(556, 518, 2); + graph.removeEdge(556, 519, 2); + graph.removeEdge(556, 251, 2); + graph.removeEdge(556, 252, 2); + graph.removeEdge(556, 217, 2); + graph.removeEdge(556, 218, 2); + graph.removeEdge(556, 241, 2); + graph.removeEdge(556, 242, 2); + graph.removeEdge(556, 355, 2); + graph.removeEdge(556, 356, 2); + graph.removeEdge(556, 432, 2); + graph.removeEdge(556, 219, 2); + graph.removeEdge(556, 366, 2); + graph.removeEdge(556, 367, 2); + graph.removeEdge(556, 220, 2); + graph.removeEdge(556, 368, 2); + graph.removeEdge(556, 253, 2); + graph.removeEdge(556, 386, 2); + graph.removeEdge(556, 520, 2); + graph.removeEdge(556, 526, 2); + graph.removeEdge(556, 527, 2); + graph.removeEdge(556, 528, 2); + graph.removeEdge(556, 529, 2); + graph.removeEdge(556, 521, 2); + graph.removeEdge(556, 522, 2); + graph.removeEdge(556, 421, 2); + graph.removeEdge(556, 442, 2); + graph.removeEdge(556, 523, 2); + graph.removeEdge(556, 400, 2); + graph.removeEdge(556, 450, 2); + graph.removeEdge(556, 165, 2); + graph.removeEdge(556, 166, 2); + graph.removeEdge(556, 274, 2); + graph.removeEdge(556, 275, 2); + graph.removeEdge(556, 371, 2); + graph.removeEdge(556, 372, 2); + graph.removeEdge(556, 461, 2); + graph.removeEdge(556, 462, 2); + graph.removeEdge(556, 501, 2); + graph.removeEdge(556, 502, 2); + graph.removeEdge(556, 373, 2); + graph.removeEdge(556, 481, 2); + graph.removeEdge(556, 374, 2); + graph.removeEdge(556, 464, 2); + graph.removeEdge(556, 465, 2); + graph.removeEdge(556, 375, 2); + graph.removeEdge(556, 484, 2); + graph.removeEdge(556, 485, 2); + graph.removeEdge(556, 376, 2); + graph.removeEdge(556, 486, 2); + graph.removeEdge(556, 487, 2); + graph.removeEdge(556, 276, 2); + graph.removeEdge(556, 277, 2); + graph.removeEdge(556, 167, 2); + graph.removeEdge(556, 272, 2); + graph.removeEdge(556, 273, 2); + graph.removeEdge(556, 369, 2); + graph.removeEdge(556, 370, 2); + graph.removeEdge(556, 463, 2); + graph.removeEdge(556, 168, 2); + graph.removeEdge(556, 278, 2); + graph.removeEdge(556, 279, 2); + graph.removeEdge(556, 169, 2); + graph.removeEdge(556, 282, 2); + graph.removeEdge(556, 283, 2); + graph.removeEdge(556, 170, 2); + graph.removeEdge(556, 280, 2); + graph.removeEdge(556, 281, 2); + graph.removeEdge(556, 181, 2); + graph.removeEdge(556, 320, 2); + graph.removeEdge(556, 182, 2); + graph.removeEdge(556, 123, 2); + graph.removeEdge(556, 124, 2); + graph.removeEdge(556, 229, 2); + graph.removeEdge(556, 230, 2); + graph.removeEdge(556, 353, 2); + graph.removeEdge(556, 354, 2); + graph.removeEdge(556, 125, 2); + graph.removeEdge(556, 183, 2); + graph.removeEdge(556, 289, 2); + graph.removeEdge(556, 290, 2); + graph.removeEdge(556, 89, 2); + graph.removeEdge(556, 90, 2); + graph.removeEdge(556, 91, 2); + graph.removeEdge(556, 291, 2); + graph.removeEdge(556, 126, 2); + graph.removeEdge(556, 127, 2); + graph.removeEdge(556, 202, 2); + graph.removeEdge(556, 203, 2); + graph.removeEdge(556, 307, 2); + graph.removeEdge(556, 204, 2); + graph.removeEdge(556, 231, 2); + graph.removeEdge(556, 232, 2); + graph.removeEdge(556, 427, 2); + graph.removeEdge(556, 428, 2); + graph.removeEdge(556, 429, 2); + graph.removeEdge(556, 134, 2); + graph.removeEdge(556, 233, 2); + graph.removeEdge(556, 205, 2); + graph.removeEdge(556, 162, 2); + graph.removeEdge(556, 206, 2); + graph.removeEdge(556, 383, 2); + graph.removeEdge(556, 384, 2); + graph.removeEdge(556, 385, 2); + graph.removeEdge(556, 474, 2); + graph.removeEdge(556, 207, 2); + graph.removeEdge(556, 323, 2); + graph.removeEdge(556, 208, 2); + graph.removeEdge(556, 308, 2); + graph.removeEdge(556, 309, 2); + graph.removeEdge(556, 403, 2); + graph.removeEdge(556, 404, 2); + graph.removeEdge(556, 405, 2); + graph.removeEdge(556, 210, 2); + graph.removeEdge(556, 406, 2); + graph.removeEdge(556, 310, 2); + graph.removeEdge(556, 121, 2); + graph.removeEdge(556, 311, 2); + graph.removeEdge(556, 401, 2); + graph.removeEdge(556, 402, 2); + graph.removeEdge(556, 128, 2); + graph.removeEdge(556, 173, 2); + graph.removeEdge(556, 174, 2); + graph.removeEdge(556, 163, 2); + graph.removeEdge(556, 175, 2); + graph.removeEdge(556, 305, 2); + graph.removeEdge(556, 306, 2); + graph.removeEdge(556, 391, 2); + graph.removeEdge(556, 129, 2); + graph.removeEdge(556, 131, 2); + graph.removeEdge(556, 132, 2); + graph.removeEdge(556, 133, 2); + graph.removeEdge(556, 184, 2); + graph.removeEdge(556, 302, 2); + graph.removeEdge(556, 303, 2); + graph.removeEdge(556, 304, 2); + graph.removeEdge(556, 211, 2); + graph.removeEdge(556, 212, 2); + graph.removeEdge(556, 213, 2); + graph.removeEdge(556, 332, 2); + graph.removeEdge(556, 333, 2); + graph.removeEdge(556, 334, 2); + graph.removeEdge(556, 335, 2); + graph.removeEdge(556, 397, 2); + graph.removeEdge(556, 214, 2); + graph.removeEdge(556, 185, 2); + graph.removeEdge(556, 284, 2); + graph.removeEdge(556, 285, 2); + graph.removeEdge(556, 186, 2); + graph.removeEdge(556, 322, 2); + graph.removeEdge(556, 187, 2); + graph.removeEdge(556, 286, 2); + graph.removeEdge(556, 287, 2); + graph.removeEdge(556, 288, 2); + graph.removeEdge(556, 416, 2); + graph.removeEdge(556, 417, 2); + graph.removeEdge(556, 517, 2); + graph.removeEdge(556, 418, 2); + graph.removeEdge(556, 327, 2); + graph.removeEdge(556, 188, 2); + graph.removeEdge(556, 344, 2); + graph.removeEdge(556, 345, 2); + graph.removeEdge(556, 346, 2); + graph.removeEdge(556, 236, 2); + graph.removeEdge(556, 237, 2); + graph.removeEdge(556, 122, 2); + graph.removeEdge(556, 238, 2); + graph.removeEdge(556, 254, 2); + graph.removeEdge(556, 255, 2); + graph.removeEdge(556, 239, 2); + graph.removeEdge(556, 240, 2); + graph.removeEdge(556, 189, 2); + graph.removeEdge(556, 312, 2); + graph.removeEdge(556, 313, 2); + graph.removeEdge(556, 159, 2); + graph.removeEdge(556, 160, 2); + graph.removeEdge(556, 161, 2); + graph.removeEdge(556, 314, 2); + graph.removeEdge(556, 315, 2); + graph.removeEdge(556, 190, 2); + graph.removeEdge(556, 107, 2); + graph.removeEdge(556, 108, 2); + graph.removeEdge(556, 109, 2); + graph.removeEdge(556, 110, 2); + graph.removeEdge(556, 191, 2); + graph.removeEdge(556, 336, 2); + graph.removeEdge(556, 337, 2); + graph.removeEdge(556, 471, 2); + graph.removeEdge(556, 472, 2); + graph.removeEdge(556, 473, 2); + graph.removeEdge(556, 338, 2); + graph.removeEdge(556, 339, 2); + graph.removeEdge(556, 489, 2); + graph.removeEdge(556, 490, 2); + graph.removeEdge(556, 491, 2); + graph.removeEdge(556, 340, 2); + graph.removeEdge(556, 422, 2); + graph.removeEdge(556, 423, 2); + graph.removeEdge(556, 424, 2); + graph.removeEdge(556, 341, 2); + graph.removeEdge(556, 494, 2); + graph.removeEdge(556, 495, 2); + graph.removeEdge(556, 496, 2); + graph.removeEdge(556, 342, 2); + graph.removeEdge(556, 343, 2); + graph.removeEdge(556, 192, 2); + graph.removeEdge(556, 321, 2); + graph.removeEdge(556, 193, 2); + graph.removeEdge(556, 347, 2); + graph.removeEdge(556, 348, 2); + graph.removeEdge(556, 469, 2); + graph.removeEdge(556, 470, 2); + graph.removeEdge(556, 508, 2); + graph.removeEdge(556, 509, 2); + graph.removeEdge(556, 349, 2); + graph.removeEdge(556, 419, 2); + graph.removeEdge(556, 420, 2); + graph.removeEdge(556, 350, 2); + graph.removeEdge(556, 497, 2); + graph.removeEdge(556, 351, 2); + graph.removeEdge(556, 425, 2); + graph.removeEdge(556, 426, 2); + graph.removeEdge(556, 352, 2); + graph.removeEdge(556, 492, 2); + graph.removeEdge(556, 493, 2); + graph.removeEdge(556, 194, 2); + graph.removeEdge(556, 316, 2); + graph.removeEdge(556, 317, 2); + graph.removeEdge(556, 392, 2); + graph.removeEdge(556, 393, 2); + graph.removeEdge(556, 318, 2); + graph.removeEdge(556, 319, 2); + graph.removeEdge(556, 195, 2); + graph.removeEdge(556, 196, 2); + graph.removeEdge(556, 197, 2); + graph.removeEdge(556, 387, 2); + graph.removeEdge(556, 388, 2); + graph.removeEdge(556, 498, 2); + graph.removeEdge(556, 499, 2); + graph.removeEdge(556, 500, 2); + graph.removeEdge(556, 389, 2); + graph.removeEdge(556, 390, 2); + graph.removeEdge(556, 198, 2); + graph.removeEdge(556, 199, 2); + graph.removeEdge(556, 328, 2); + graph.removeEdge(556, 329, 2); + graph.removeEdge(556, 394, 2); + graph.removeEdge(556, 395, 2); + graph.removeEdge(556, 396, 2); + graph.removeEdge(556, 330, 2); + graph.removeEdge(556, 331, 2); + graph.removeEdge(556, 200, 2); + graph.removeEdge(556, 201, 2); + graph.removeEdge(552, 179, 2); + graph.removeEdge(552, 180, 2); + graph.removeEdge(552, 292, 2); + graph.removeEdge(552, 293, 2); + graph.removeEdge(552, 377, 2); + graph.removeEdge(552, 378, 2); + graph.removeEdge(552, 488, 2); + graph.removeEdge(552, 379, 2); + graph.removeEdge(552, 503, 2); + graph.removeEdge(552, 504, 2); + graph.removeEdge(552, 512, 2); + graph.removeEdge(552, 513, 2); + graph.removeEdge(552, 209, 2); + graph.removeEdge(552, 380, 2); + graph.removeEdge(552, 475, 2); + graph.removeEdge(552, 476, 2); + graph.removeEdge(552, 381, 2); + graph.removeEdge(552, 482, 2); + graph.removeEdge(552, 483, 2); + graph.removeEdge(552, 382, 2); + graph.removeEdge(552, 505, 2); + graph.removeEdge(552, 506, 2); + graph.removeEdge(552, 294, 2); + graph.removeEdge(552, 467, 2); + graph.removeEdge(552, 468, 2); + graph.removeEdge(552, 295, 2); + graph.removeEdge(552, 452, 2); + graph.removeEdge(552, 296, 2); + graph.removeEdge(552, 466, 2); + graph.removeEdge(552, 297, 2); + graph.removeEdge(552, 451, 2); + graph.removeEdge(552, 298, 2); + graph.removeEdge(552, 447, 2); + graph.removeEdge(552, 448, 2); + graph.removeEdge(552, 449, 2); + graph.removeEdge(552, 398, 2); + graph.removeEdge(552, 399, 2); + graph.removeEdge(552, 440, 2); + graph.removeEdge(552, 441, 2); + graph.removeEdge(552, 518, 2); + graph.removeEdge(552, 519, 2); + graph.removeEdge(552, 251, 2); + graph.removeEdge(552, 252, 2); + graph.removeEdge(552, 217, 2); + graph.removeEdge(552, 218, 2); + graph.removeEdge(552, 241, 2); + graph.removeEdge(552, 242, 2); + graph.removeEdge(552, 355, 2); + graph.removeEdge(552, 356, 2); + graph.removeEdge(552, 432, 2); + graph.removeEdge(552, 219, 2); + graph.removeEdge(552, 366, 2); + graph.removeEdge(552, 367, 2); + graph.removeEdge(552, 220, 2); + graph.removeEdge(552, 368, 2); + graph.removeEdge(552, 253, 2); + graph.removeEdge(552, 386, 2); + graph.removeEdge(552, 520, 2); + graph.removeEdge(552, 526, 2); + graph.removeEdge(552, 527, 2); + graph.removeEdge(552, 528, 2); + graph.removeEdge(552, 529, 2); + graph.removeEdge(552, 521, 2); + graph.removeEdge(552, 522, 2); + graph.removeEdge(552, 421, 2); + graph.removeEdge(552, 442, 2); + graph.removeEdge(552, 523, 2); + graph.removeEdge(552, 400, 2); + graph.removeEdge(552, 450, 2); + graph.removeEdge(552, 165, 2); + graph.removeEdge(552, 166, 2); + graph.removeEdge(552, 274, 2); + graph.removeEdge(552, 275, 2); + graph.removeEdge(552, 371, 2); + graph.removeEdge(552, 372, 2); + graph.removeEdge(552, 461, 2); + graph.removeEdge(552, 462, 2); + graph.removeEdge(552, 501, 2); + graph.removeEdge(552, 502, 2); + graph.removeEdge(552, 373, 2); + graph.removeEdge(552, 481, 2); + graph.removeEdge(552, 374, 2); + graph.removeEdge(552, 464, 2); + graph.removeEdge(552, 465, 2); + graph.removeEdge(552, 375, 2); + graph.removeEdge(552, 484, 2); + graph.removeEdge(552, 485, 2); + graph.removeEdge(552, 376, 2); + graph.removeEdge(552, 486, 2); + graph.removeEdge(552, 487, 2); + graph.removeEdge(552, 276, 2); + graph.removeEdge(552, 277, 2); + graph.removeEdge(552, 167, 2); + graph.removeEdge(552, 272, 2); + graph.removeEdge(552, 273, 2); + graph.removeEdge(552, 369, 2); + graph.removeEdge(552, 370, 2); + graph.removeEdge(552, 463, 2); + graph.removeEdge(552, 168, 2); + graph.removeEdge(552, 278, 2); + graph.removeEdge(552, 279, 2); + graph.removeEdge(552, 169, 2); + graph.removeEdge(552, 282, 2); + graph.removeEdge(552, 283, 2); + graph.removeEdge(552, 170, 2); + graph.removeEdge(552, 280, 2); + graph.removeEdge(552, 281, 2); + graph.removeEdge(552, 181, 2); + graph.removeEdge(552, 320, 2); + graph.removeEdge(552, 182, 2); + graph.removeEdge(552, 123, 2); + graph.removeEdge(552, 124, 2); + graph.removeEdge(552, 229, 2); + graph.removeEdge(552, 230, 2); + graph.removeEdge(552, 353, 2); + graph.removeEdge(552, 354, 2); + graph.removeEdge(552, 125, 2); + graph.removeEdge(552, 183, 2); + graph.removeEdge(552, 289, 2); + graph.removeEdge(552, 290, 2); + graph.removeEdge(552, 89, 2); + graph.removeEdge(552, 90, 2); + graph.removeEdge(552, 91, 2); + graph.removeEdge(552, 291, 2); + graph.removeEdge(552, 126, 2); + graph.removeEdge(552, 127, 2); + graph.removeEdge(552, 202, 2); + graph.removeEdge(552, 203, 2); + graph.removeEdge(552, 307, 2); + graph.removeEdge(552, 204, 2); + graph.removeEdge(552, 231, 2); + graph.removeEdge(552, 232, 2); + graph.removeEdge(552, 427, 2); + graph.removeEdge(552, 428, 2); + graph.removeEdge(552, 429, 2); + graph.removeEdge(552, 134, 2); + graph.removeEdge(552, 233, 2); + graph.removeEdge(552, 205, 2); + graph.removeEdge(552, 162, 2); + graph.removeEdge(552, 206, 2); + graph.removeEdge(552, 383, 2); + graph.removeEdge(552, 384, 2); + graph.removeEdge(552, 385, 2); + graph.removeEdge(552, 474, 2); + graph.removeEdge(552, 207, 2); + graph.removeEdge(552, 323, 2); + graph.removeEdge(552, 208, 2); + graph.removeEdge(552, 308, 2); + graph.removeEdge(552, 309, 2); + graph.removeEdge(552, 403, 2); + graph.removeEdge(552, 404, 2); + graph.removeEdge(552, 405, 2); + graph.removeEdge(552, 210, 2); + graph.removeEdge(552, 406, 2); + graph.removeEdge(552, 310, 2); + graph.removeEdge(552, 121, 2); + graph.removeEdge(552, 311, 2); + graph.removeEdge(552, 401, 2); + graph.removeEdge(552, 402, 2); + graph.removeEdge(552, 128, 2); + graph.removeEdge(552, 173, 2); + graph.removeEdge(552, 174, 2); + graph.removeEdge(552, 163, 2); + graph.removeEdge(552, 175, 2); + graph.removeEdge(552, 305, 2); + graph.removeEdge(552, 306, 2); + graph.removeEdge(552, 391, 2); + graph.removeEdge(552, 129, 2); + graph.removeEdge(552, 131, 2); + graph.removeEdge(552, 132, 2); + graph.removeEdge(552, 133, 2); + graph.removeEdge(552, 184, 2); + graph.removeEdge(552, 302, 2); + graph.removeEdge(552, 303, 2); + graph.removeEdge(552, 304, 2); + graph.removeEdge(552, 211, 2); + graph.removeEdge(552, 212, 2); + graph.removeEdge(552, 213, 2); + graph.removeEdge(552, 332, 2); + graph.removeEdge(552, 333, 2); + graph.removeEdge(552, 334, 2); + graph.removeEdge(552, 335, 2); + graph.removeEdge(552, 397, 2); + graph.removeEdge(552, 214, 2); + graph.removeEdge(552, 185, 2); + graph.removeEdge(552, 284, 2); + graph.removeEdge(552, 285, 2); + graph.removeEdge(552, 186, 2); + graph.removeEdge(552, 322, 2); + graph.removeEdge(552, 187, 2); + graph.removeEdge(552, 286, 2); + graph.removeEdge(552, 287, 2); + graph.removeEdge(552, 288, 2); + graph.removeEdge(552, 416, 2); + graph.removeEdge(552, 417, 2); + graph.removeEdge(552, 517, 2); + graph.removeEdge(552, 418, 2); + graph.removeEdge(552, 327, 2); + graph.removeEdge(552, 188, 2); + graph.removeEdge(552, 344, 2); + graph.removeEdge(552, 345, 2); + graph.removeEdge(552, 346, 2); + graph.removeEdge(552, 236, 2); + graph.removeEdge(552, 237, 2); + graph.removeEdge(552, 122, 2); + graph.removeEdge(552, 238, 2); + graph.removeEdge(552, 254, 2); + graph.removeEdge(552, 255, 2); + graph.removeEdge(552, 239, 2); + graph.removeEdge(552, 240, 2); + graph.removeEdge(552, 189, 2); + graph.removeEdge(552, 312, 2); + graph.removeEdge(552, 313, 2); + graph.removeEdge(552, 159, 2); + graph.removeEdge(552, 160, 2); + graph.removeEdge(552, 161, 2); + graph.removeEdge(552, 314, 2); + graph.removeEdge(552, 315, 2); + graph.removeEdge(552, 190, 2); + graph.removeEdge(552, 107, 2); + graph.removeEdge(552, 108, 2); + graph.removeEdge(552, 109, 2); + graph.removeEdge(552, 110, 2); + graph.removeEdge(552, 191, 2); + graph.removeEdge(552, 336, 2); + graph.removeEdge(552, 337, 2); + graph.removeEdge(552, 471, 2); + graph.removeEdge(552, 472, 2); + graph.removeEdge(552, 473, 2); + graph.removeEdge(552, 338, 2); + graph.removeEdge(552, 339, 2); + graph.removeEdge(552, 489, 2); + graph.removeEdge(552, 490, 2); + graph.removeEdge(552, 491, 2); + graph.removeEdge(552, 340, 2); + graph.removeEdge(552, 422, 2); + graph.removeEdge(552, 423, 2); + graph.removeEdge(552, 424, 2); + graph.removeEdge(552, 341, 2); + graph.removeEdge(552, 494, 2); + graph.removeEdge(552, 495, 2); + graph.removeEdge(552, 496, 2); + graph.removeEdge(552, 342, 2); + graph.removeEdge(552, 343, 2); + graph.removeEdge(552, 192, 2); + graph.removeEdge(552, 321, 2); + graph.removeEdge(552, 193, 2); + graph.removeEdge(552, 347, 2); + graph.removeEdge(552, 348, 2); + graph.removeEdge(552, 469, 2); + graph.removeEdge(552, 470, 2); + graph.removeEdge(552, 508, 2); + graph.removeEdge(552, 509, 2); + graph.removeEdge(552, 349, 2); + graph.removeEdge(552, 419, 2); + graph.removeEdge(552, 420, 2); + graph.removeEdge(552, 350, 2); + graph.removeEdge(552, 497, 2); + graph.removeEdge(552, 351, 2); + graph.removeEdge(552, 425, 2); + graph.removeEdge(552, 426, 2); + graph.removeEdge(552, 352, 2); + graph.removeEdge(552, 492, 2); + graph.removeEdge(552, 493, 2); + graph.removeEdge(552, 194, 2); + graph.removeEdge(552, 316, 2); + graph.removeEdge(552, 317, 2); + graph.removeEdge(552, 392, 2); + graph.removeEdge(552, 393, 2); + graph.removeEdge(552, 318, 2); + graph.removeEdge(552, 319, 2); + graph.removeEdge(552, 195, 2); + graph.removeEdge(552, 196, 2); + graph.removeEdge(552, 197, 2); + graph.removeEdge(552, 387, 2); + graph.removeEdge(552, 388, 2); + graph.removeEdge(552, 498, 2); + graph.removeEdge(552, 499, 2); + graph.removeEdge(552, 500, 2); + graph.removeEdge(552, 389, 2); + graph.removeEdge(552, 390, 2); + graph.removeEdge(552, 198, 2); + graph.removeEdge(552, 199, 2); + graph.removeEdge(552, 328, 2); + graph.removeEdge(552, 329, 2); + graph.removeEdge(552, 394, 2); + graph.removeEdge(552, 395, 2); + graph.removeEdge(552, 396, 2); + graph.removeEdge(552, 330, 2); + graph.removeEdge(552, 331, 2); + graph.removeEdge(552, 200, 2); + graph.removeEdge(552, 201, 2); + graph.removeEdge(555, 377, 2); + graph.removeEdge(555, 378, 2); + graph.removeEdge(555, 488, 2); + graph.removeEdge(555, 379, 2); + graph.removeEdge(555, 503, 2); + graph.removeEdge(555, 504, 2); + graph.removeEdge(555, 512, 2); + graph.removeEdge(555, 513, 2); + graph.removeEdge(555, 209, 2); + graph.removeEdge(555, 380, 2); + graph.removeEdge(555, 475, 2); + graph.removeEdge(555, 476, 2); + graph.removeEdge(555, 381, 2); + graph.removeEdge(555, 482, 2); + graph.removeEdge(555, 483, 2); + graph.removeEdge(555, 382, 2); + graph.removeEdge(555, 505, 2); + graph.removeEdge(555, 506, 2); + graph.removeEdge(553, 377, 2); + graph.removeEdge(553, 378, 2); + graph.removeEdge(553, 488, 2); + graph.removeEdge(553, 379, 2); + graph.removeEdge(553, 503, 2); + graph.removeEdge(553, 504, 2); + graph.removeEdge(553, 512, 2); + graph.removeEdge(553, 513, 2); + graph.removeEdge(553, 209, 2); + graph.removeEdge(553, 380, 2); + graph.removeEdge(553, 475, 2); + graph.removeEdge(553, 476, 2); + graph.removeEdge(553, 381, 2); + graph.removeEdge(553, 482, 2); + graph.removeEdge(553, 483, 2); + graph.removeEdge(553, 382, 2); + graph.removeEdge(553, 505, 2); + graph.removeEdge(553, 506, 2); + graph.removeEdge(551, 377, 2); + graph.removeEdge(551, 378, 2); + graph.removeEdge(551, 488, 2); + graph.removeEdge(551, 379, 2); + graph.removeEdge(551, 503, 2); + graph.removeEdge(551, 504, 2); + graph.removeEdge(551, 512, 2); + graph.removeEdge(551, 513, 2); + graph.removeEdge(551, 209, 2); + graph.removeEdge(551, 380, 2); + graph.removeEdge(551, 475, 2); + graph.removeEdge(551, 476, 2); + graph.removeEdge(551, 381, 2); + graph.removeEdge(551, 482, 2); + graph.removeEdge(551, 483, 2); + graph.removeEdge(551, 382, 2); + graph.removeEdge(551, 505, 2); + graph.removeEdge(551, 506, 2); + graph.removeEdge(552, 488, 2); + graph.removeEdge(555, 209, 2); + graph.removeEdge(555, 398, 2); + graph.removeEdge(555, 399, 2); + graph.removeEdge(555, 440, 2); + graph.removeEdge(555, 441, 2); + graph.removeEdge(555, 518, 2); + graph.removeEdge(555, 519, 2); + graph.removeEdge(555, 251, 2); + graph.removeEdge(555, 252, 2); + graph.removeEdge(555, 217, 2); + graph.removeEdge(555, 218, 2); + graph.removeEdge(555, 241, 2); + graph.removeEdge(555, 242, 2); + graph.removeEdge(555, 355, 2); + graph.removeEdge(555, 356, 2); + graph.removeEdge(555, 432, 2); + graph.removeEdge(555, 219, 2); + graph.removeEdge(555, 366, 2); + graph.removeEdge(555, 367, 2); + graph.removeEdge(555, 220, 2); + graph.removeEdge(555, 368, 2); + graph.removeEdge(555, 253, 2); + graph.removeEdge(555, 386, 2); + graph.removeEdge(555, 520, 2); + graph.removeEdge(555, 526, 2); + graph.removeEdge(555, 527, 2); + graph.removeEdge(555, 528, 2); + graph.removeEdge(555, 529, 2); + graph.removeEdge(555, 521, 2); + graph.removeEdge(555, 522, 2); + graph.removeEdge(555, 421, 2); + graph.removeEdge(555, 442, 2); + graph.removeEdge(555, 523, 2); + graph.removeEdge(555, 400, 2); + graph.removeEdge(553, 398, 2); + graph.removeEdge(553, 399, 2); + graph.removeEdge(553, 440, 2); + graph.removeEdge(553, 441, 2); + graph.removeEdge(553, 518, 2); + graph.removeEdge(553, 519, 2); + graph.removeEdge(553, 251, 2); + graph.removeEdge(553, 252, 2); + graph.removeEdge(553, 217, 2); + graph.removeEdge(553, 218, 2); + graph.removeEdge(553, 241, 2); + graph.removeEdge(553, 242, 2); + graph.removeEdge(553, 355, 2); + graph.removeEdge(553, 356, 2); + graph.removeEdge(553, 432, 2); + graph.removeEdge(553, 219, 2); + graph.removeEdge(553, 366, 2); + graph.removeEdge(553, 367, 2); + graph.removeEdge(553, 220, 2); + graph.removeEdge(553, 368, 2); + graph.removeEdge(553, 253, 2); + graph.removeEdge(553, 386, 2); + graph.removeEdge(553, 520, 2); + graph.removeEdge(553, 526, 2); + graph.removeEdge(553, 527, 2); + graph.removeEdge(553, 528, 2); + graph.removeEdge(553, 529, 2); + graph.removeEdge(553, 521, 2); + graph.removeEdge(553, 522, 2); + graph.removeEdge(553, 421, 2); + graph.removeEdge(553, 442, 2); + graph.removeEdge(553, 523, 2); + graph.removeEdge(553, 400, 2); + graph.removeEdge(551, 398, 2); + graph.removeEdge(551, 399, 2); + graph.removeEdge(551, 440, 2); + graph.removeEdge(551, 441, 2); + graph.removeEdge(551, 518, 2); + graph.removeEdge(551, 519, 2); + graph.removeEdge(551, 251, 2); + graph.removeEdge(551, 252, 2); + graph.removeEdge(551, 217, 2); + graph.removeEdge(551, 218, 2); + graph.removeEdge(551, 241, 2); + graph.removeEdge(551, 242, 2); + graph.removeEdge(551, 355, 2); + graph.removeEdge(551, 356, 2); + graph.removeEdge(551, 432, 2); + graph.removeEdge(551, 219, 2); + graph.removeEdge(551, 366, 2); + graph.removeEdge(551, 367, 2); + graph.removeEdge(551, 220, 2); + graph.removeEdge(551, 368, 2); + graph.removeEdge(551, 253, 2); + graph.removeEdge(551, 386, 2); + graph.removeEdge(551, 520, 2); + graph.removeEdge(551, 526, 2); + graph.removeEdge(551, 527, 2); + graph.removeEdge(551, 528, 2); + graph.removeEdge(551, 529, 2); + graph.removeEdge(551, 521, 2); + graph.removeEdge(551, 522, 2); + graph.removeEdge(551, 421, 2); + graph.removeEdge(551, 442, 2); + graph.removeEdge(551, 523, 2); + graph.removeEdge(551, 400, 2); + graph.removeEdge(552, 440, 2); + graph.removeEdge(552, 441, 2); + graph.removeEdge(552, 442, 2); + graph.removeEdge(551, 440, 2); + graph.removeEdge(551, 441, 2); + graph.removeEdge(551, 518, 2); + graph.removeEdge(551, 519, 2); + graph.removeEdge(551, 520, 2); + graph.removeEdge(551, 526, 2); + graph.removeEdge(551, 527, 2); + graph.removeEdge(551, 528, 2); + graph.removeEdge(551, 529, 2); + graph.removeEdge(551, 355, 2); + graph.removeEdge(551, 356, 2); + graph.removeEdge(551, 432, 2); + graph.removeEdge(551, 521, 2); + graph.removeEdge(551, 522, 2); + graph.removeEdge(551, 421, 2); + graph.removeEdge(551, 442, 2); + graph.removeEdge(551, 523, 2); + graph.removeEdge(557, 217, 2); + graph.removeEdge(557, 218, 2); + graph.removeEdge(557, 241, 2); + graph.removeEdge(557, 242, 2); + graph.removeEdge(557, 355, 2); + graph.removeEdge(557, 356, 2); + graph.removeEdge(557, 432, 2); + graph.removeEdge(557, 219, 2); + graph.removeEdge(557, 366, 2); + graph.removeEdge(557, 367, 2); + graph.removeEdge(557, 220, 2); + graph.removeEdge(557, 368, 2); + graph.removeEdge(557, 217, 2); + graph.removeEdge(554, 217, 2); + graph.removeEdge(554, 218, 2); + graph.removeEdge(554, 241, 2); + graph.removeEdge(554, 242, 2); + graph.removeEdge(554, 355, 2); + graph.removeEdge(554, 356, 2); + graph.removeEdge(554, 432, 2); + graph.removeEdge(554, 219, 2); + graph.removeEdge(554, 366, 2); + graph.removeEdge(554, 367, 2); + graph.removeEdge(554, 220, 2); + graph.removeEdge(554, 368, 2); + graph.removeEdge(554, 217, 2); + graph.removeEdge(557, 355, 2); + graph.removeEdge(554, 368, 2); + graph.removeEdge(557, 386, 2); + graph.removeEdge(551, 528, 2); + graph.removeEdge(555, 165, 2); + graph.removeEdge(555, 166, 2); + graph.removeEdge(555, 274, 2); + graph.removeEdge(555, 275, 2); + graph.removeEdge(555, 371, 2); + graph.removeEdge(555, 372, 2); + graph.removeEdge(555, 461, 2); + graph.removeEdge(555, 462, 2); + graph.removeEdge(555, 501, 2); + graph.removeEdge(555, 502, 2); + graph.removeEdge(555, 373, 2); + graph.removeEdge(555, 481, 2); + graph.removeEdge(555, 374, 2); + graph.removeEdge(555, 464, 2); + graph.removeEdge(555, 465, 2); + graph.removeEdge(555, 375, 2); + graph.removeEdge(555, 484, 2); + graph.removeEdge(555, 485, 2); + graph.removeEdge(555, 376, 2); + graph.removeEdge(555, 486, 2); + graph.removeEdge(555, 487, 2); + graph.removeEdge(555, 276, 2); + graph.removeEdge(555, 277, 2); + graph.removeEdge(555, 167, 2); + graph.removeEdge(555, 272, 2); + graph.removeEdge(555, 273, 2); + graph.removeEdge(555, 369, 2); + graph.removeEdge(555, 370, 2); + graph.removeEdge(555, 463, 2); + graph.removeEdge(555, 168, 2); + graph.removeEdge(555, 278, 2); + graph.removeEdge(555, 279, 2); + graph.removeEdge(555, 169, 2); + graph.removeEdge(555, 282, 2); + graph.removeEdge(555, 283, 2); + graph.removeEdge(555, 170, 2); + graph.removeEdge(555, 280, 2); + graph.removeEdge(555, 281, 2); + graph.removeEdge(553, 165, 2); + graph.removeEdge(553, 166, 2); + graph.removeEdge(553, 274, 2); + graph.removeEdge(553, 275, 2); + graph.removeEdge(553, 371, 2); + graph.removeEdge(553, 372, 2); + graph.removeEdge(553, 461, 2); + graph.removeEdge(553, 462, 2); + graph.removeEdge(553, 501, 2); + graph.removeEdge(553, 502, 2); + graph.removeEdge(553, 373, 2); + graph.removeEdge(553, 481, 2); + graph.removeEdge(553, 374, 2); + graph.removeEdge(553, 464, 2); + graph.removeEdge(553, 465, 2); + graph.removeEdge(553, 375, 2); + graph.removeEdge(553, 484, 2); + graph.removeEdge(553, 485, 2); + graph.removeEdge(553, 376, 2); + graph.removeEdge(553, 486, 2); + graph.removeEdge(553, 487, 2); + graph.removeEdge(553, 276, 2); + graph.removeEdge(553, 277, 2); + graph.removeEdge(553, 167, 2); + graph.removeEdge(553, 272, 2); + graph.removeEdge(553, 273, 2); + graph.removeEdge(553, 369, 2); + graph.removeEdge(553, 370, 2); + graph.removeEdge(553, 463, 2); + graph.removeEdge(553, 168, 2); + graph.removeEdge(553, 278, 2); + graph.removeEdge(553, 279, 2); + graph.removeEdge(553, 169, 2); + graph.removeEdge(553, 282, 2); + graph.removeEdge(553, 283, 2); + graph.removeEdge(553, 170, 2); + graph.removeEdge(553, 280, 2); + graph.removeEdge(553, 281, 2); + graph.removeEdge(551, 165, 2); + graph.removeEdge(551, 166, 2); + graph.removeEdge(551, 274, 2); + graph.removeEdge(551, 275, 2); + graph.removeEdge(551, 371, 2); + graph.removeEdge(551, 372, 2); + graph.removeEdge(551, 461, 2); + graph.removeEdge(551, 462, 2); + graph.removeEdge(551, 501, 2); + graph.removeEdge(551, 502, 2); + graph.removeEdge(551, 373, 2); + graph.removeEdge(551, 481, 2); + graph.removeEdge(551, 374, 2); + graph.removeEdge(551, 464, 2); + graph.removeEdge(551, 465, 2); + graph.removeEdge(551, 375, 2); + graph.removeEdge(551, 484, 2); + graph.removeEdge(551, 485, 2); + graph.removeEdge(551, 376, 2); + graph.removeEdge(551, 486, 2); + graph.removeEdge(551, 487, 2); + graph.removeEdge(551, 276, 2); + graph.removeEdge(551, 277, 2); + graph.removeEdge(551, 167, 2); + graph.removeEdge(551, 272, 2); + graph.removeEdge(551, 273, 2); + graph.removeEdge(551, 369, 2); + graph.removeEdge(551, 370, 2); + graph.removeEdge(551, 463, 2); + graph.removeEdge(551, 168, 2); + graph.removeEdge(551, 278, 2); + graph.removeEdge(551, 279, 2); + graph.removeEdge(551, 169, 2); + graph.removeEdge(551, 282, 2); + graph.removeEdge(551, 283, 2); + graph.removeEdge(551, 170, 2); + graph.removeEdge(551, 280, 2); + graph.removeEdge(551, 281, 2); + graph.removeEdge(551, 501, 2); + graph.removeEdge(552, 484, 2); + graph.removeEdge(555, 486, 2); + graph.removeEdge(555, 487, 2); + graph.removeEdge(551, 272, 2); + graph.removeEdge(551, 273, 2); + graph.removeEdge(552, 280, 2); + graph.removeEdge(553, 123, 2); + graph.removeEdge(553, 124, 2); + graph.removeEdge(553, 229, 2); + graph.removeEdge(553, 230, 2); + graph.removeEdge(553, 353, 2); + graph.removeEdge(553, 354, 2); + graph.removeEdge(553, 125, 2); + graph.removeEdge(555, 353, 2); + graph.removeEdge(555, 354, 2); + graph.removeEdge(551, 353, 2); + graph.removeEdge(551, 354, 2); + graph.removeEdge(553, 231, 2); + graph.removeEdge(553, 232, 2); + graph.removeEdge(553, 427, 2); + graph.removeEdge(553, 428, 2); + graph.removeEdge(553, 429, 2); + graph.removeEdge(553, 134, 2); + graph.removeEdge(553, 233, 2); + graph.removeEdge(557, 134, 2); + graph.removeEdge(555, 134, 2); + graph.removeEdge(553, 162, 2); + graph.removeEdge(553, 323, 2); + graph.removeEdge(555, 210, 2); + graph.removeEdge(553, 210, 2); + graph.removeEdge(555, 121, 2); + graph.removeEdge(551, 121, 2); + graph.removeEdge(555, 131, 2); + graph.removeEdge(555, 132, 2); + graph.removeEdge(555, 133, 2); + graph.removeEdge(553, 122, 2); + graph.removeEdge(555, 130, 2); + graph.removeEdge(553, 130, 2); + graph.removeEdge(552, 130, 2); + graph.removeEdge(555, 147, 2); + graph.removeEdge(555, 148, 2); + graph.removeEdge(555, 268, 2); + graph.removeEdge(553, 147, 2); + graph.removeEdge(553, 148, 2); + graph.removeEdge(553, 268, 2); + graph.removeEdge(552, 147, 2); + graph.removeEdge(552, 148, 2); + graph.removeEdge(552, 268, 2); + graph.removeEdge(555, 225, 2); + graph.removeEdge(555, 226, 2); + graph.removeEdge(555, 411, 2); + graph.removeEdge(555, 412, 2); + graph.removeEdge(555, 516, 2); + graph.removeEdge(555, 413, 2); + graph.removeEdge(555, 414, 2); + graph.removeEdge(555, 227, 2); + graph.removeEdge(555, 415, 2); + graph.removeEdge(553, 225, 2); + graph.removeEdge(553, 226, 2); + graph.removeEdge(553, 411, 2); + graph.removeEdge(553, 412, 2); + graph.removeEdge(553, 516, 2); + graph.removeEdge(553, 413, 2); + graph.removeEdge(553, 414, 2); + graph.removeEdge(553, 227, 2); + graph.removeEdge(553, 415, 2); + graph.removeEdge(552, 225, 2); + graph.removeEdge(552, 226, 2); + graph.removeEdge(552, 411, 2); + graph.removeEdge(552, 412, 2); + graph.removeEdge(552, 516, 2); + graph.removeEdge(552, 413, 2); + graph.removeEdge(552, 414, 2); + graph.removeEdge(552, 227, 2); + graph.removeEdge(552, 415, 2); + graph.removeEdge(553, 256, 2); + graph.removeEdge(553, 257, 2); + graph.removeEdge(553, 111, 2); + graph.removeEdge(553, 112, 2); + graph.removeEdge(553, 113, 2); + graph.removeEdge(553, 265, 2); + graph.removeEdge(553, 266, 2); + graph.removeEdge(553, 267, 2); + graph.removeEdge(553, 324, 2); + graph.removeEdge(553, 325, 2); + graph.removeEdge(553, 326, 2); + graph.removeEdge(553, 114, 2); + graph.removeEdge(553, 215, 2); + graph.removeEdge(553, 216, 2); + graph.removeEdge(553, 364, 2); + graph.removeEdge(553, 365, 2); + graph.removeEdge(553, 459, 2); + graph.removeEdge(553, 460, 2); + graph.removeEdge(553, 115, 2); + graph.removeEdge(553, 171, 2); + graph.removeEdge(553, 172, 2); + graph.removeEdge(553, 259, 2); + graph.removeEdge(553, 260, 2); + graph.removeEdge(553, 261, 2); + graph.removeEdge(553, 221, 2); + graph.removeEdge(553, 262, 2); + graph.removeEdge(553, 263, 2); + graph.removeEdge(553, 258, 2); + graph.removeEdge(553, 234, 2); + graph.removeEdge(553, 235, 2); + graph.removeEdge(557, 324, 2); + graph.removeEdge(557, 325, 2); + graph.removeEdge(557, 326, 2); + graph.removeEdge(553, 116, 2); + graph.removeEdge(553, 117, 2); + graph.removeEdge(553, 46, 2); + graph.removeEdge(553, 47, 2); + graph.removeEdge(553, 64, 2); + graph.removeEdge(553, 65, 2); + graph.removeEdge(553, 66, 2); + graph.removeEdge(553, 96, 2); + graph.removeEdge(553, 97, 2); + graph.removeEdge(553, 98, 2); + graph.removeEdge(553, 99, 2); + graph.removeEdge(553, 118, 2); + graph.removeEdge(553, 119, 2); + graph.removeEdge(557, 269, 2); + graph.removeEdge(557, 270, 2); + graph.removeEdge(557, 430, 2); + graph.removeEdge(557, 431, 2); + graph.removeEdge(557, 477, 2); + graph.removeEdge(557, 478, 2); + graph.removeEdge(557, 510, 2); + graph.removeEdge(557, 511, 2); + graph.removeEdge(557, 525, 2); + graph.removeEdge(557, 479, 2); + graph.removeEdge(557, 480, 2); + graph.removeEdge(557, 510, 2); + }); }); From b15127d1977de5812ea68ade444093b6cfab3acb Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 24 Jun 2021 14:58:57 -0400 Subject: [PATCH 062/117] Rename EfficientGraph -> AdjacencyList --- .../{EfficientGraph.js => AdjacencyList.js} | 26 +++++++-------- packages/core/core/src/Graph.js | 12 +++---- ...entGraph.test.js => AdjacencyList.test.js} | 32 +++++++++---------- 3 files changed, 33 insertions(+), 37 deletions(-) rename packages/core/core/src/{EfficientGraph.js => AdjacencyList.js} (98%) rename packages/core/core/test/{EfficientGraph.test.js => AdjacencyList.test.js} (99%) diff --git a/packages/core/core/src/EfficientGraph.js b/packages/core/core/src/AdjacencyList.js similarity index 98% rename from packages/core/core/src/EfficientGraph.js rename to packages/core/core/src/AdjacencyList.js index 00d198da90e..2a61ace63fb 100644 --- a/packages/core/core/src/EfficientGraph.js +++ b/packages/core/core/src/AdjacencyList.js @@ -81,7 +81,7 @@ const deletedThrows = (type: number): number => { export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; -export type SerializedEfficientGraph = {| +export type SerializedAdjacencyList = {| nodes: Uint32Array, edges: Uint32Array, numNodes: number, @@ -123,7 +123,7 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; -export default class EfficientGraph { +export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ nodeCapacity: number; /** The number of edges that can fit in the edges array. */ @@ -150,14 +150,14 @@ export default class EfficientGraph { } /** - * Create a new `EfficientGraph` from the given options. + * Create a new `AdjacencyList` from the given options. * * The options should match the format returned by the `serialize` method. */ static deserialize( - opts: SerializedEfficientGraph, - ): EfficientGraph { - let res = Object.create(EfficientGraph.prototype); + opts: SerializedAdjacencyList, + ): AdjacencyList { + let res = Object.create(AdjacencyList.prototype); res.nodes = opts.nodes; res.edges = opts.edges; res.numNodes = opts.numNodes; @@ -170,7 +170,7 @@ export default class EfficientGraph { /** * Returns a JSON-serializable object of the nodes and edges in the graph. */ - serialize(): SerializedEfficientGraph { + serialize(): SerializedAdjacencyList { return { nodes: this.nodes, edges: this.edges, @@ -793,7 +793,7 @@ let nodeColor = {color: 'black', fontcolor: 'black'}; let emptyColor = {color: 'darkgray', fontcolor: 'darkgray'}; let edgeColor = {color: 'brown', fontcolor: 'brown'}; -function toDot(data: EfficientGraph): string { +function toDot(data: AdjacencyList): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.setNodeAttribut('fontsize', 8); @@ -899,9 +899,7 @@ function toDot(data: EfficientGraph): string { return g.to_dot(); } -function nodesToDot( - data: EfficientGraph, -): string { +function nodesToDot(data: AdjacencyList): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.set('nodesep', 0); @@ -966,9 +964,7 @@ function nodesToDot( return g.to_dot(); } -function edgesToDot( - data: EfficientGraph, -): string { +function edgesToDot(data: AdjacencyList): string { let g = digraph('G'); g.set('rankdir', 'LR'); g.set('nodesep', 0); @@ -1042,7 +1038,7 @@ function edgesToDot( } export function openGraphViz( - data: EfficientGraph, + data: AdjacencyList, type?: 'graph' | 'nodes' | 'edges', ): Promise { if (!type) { diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index d69432e0008..b43a859d235 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -1,7 +1,7 @@ // @flow strict-local import {fromNodeId} from './types'; -import EfficientGraph, {type SerializedEfficientGraph} from './EfficientGraph'; +import AdjacencyList, {type SerializedAdjacencyList} from './AdjacencyList'; import type {Edge, Node, NodeId} from './types'; import type {TraversalActions, GraphVisitor} from '@parcel/types'; @@ -11,14 +11,14 @@ import nullthrows from 'nullthrows'; export type NullEdgeType = 1; export type GraphOpts = {| nodes?: Map, - adjacencyList?: SerializedEfficientGraph, + adjacencyList?: SerializedAdjacencyList, rootNodeId?: ?NodeId, nextNodeId?: ?number, |}; export type SerializedGraph = {| nodes: Map, - adjacencyList: SerializedEfficientGraph, + adjacencyList: SerializedAdjacencyList, rootNodeId: ?NodeId, nextNodeId: number, |}; @@ -28,7 +28,7 @@ export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; export default class Graph { nodes: Map; - adjacencyList: EfficientGraph; + adjacencyList: AdjacencyList; rootNodeId: ?NodeId; nextNodeId: number = 0; @@ -39,8 +39,8 @@ export default class Graph { let adjacencyList = opts?.adjacencyList; this.adjacencyList = adjacencyList - ? EfficientGraph.deserialize(adjacencyList) - : new EfficientGraph(); + ? AdjacencyList.deserialize(adjacencyList) + : new AdjacencyList(); } setRootNodeId(id: ?NodeId) { diff --git a/packages/core/core/test/EfficientGraph.test.js b/packages/core/core/test/AdjacencyList.test.js similarity index 99% rename from packages/core/core/test/EfficientGraph.test.js rename to packages/core/core/test/AdjacencyList.test.js index 2f1e579fe5b..274fbd368d5 100644 --- a/packages/core/core/test/EfficientGraph.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -2,12 +2,12 @@ import assert from 'assert'; -import EfficientGraph, {NODE_SIZE, EDGE_SIZE} from '../src/EfficientGraph'; +import AdjacencyList, {NODE_SIZE, EDGE_SIZE} from '../src/AdjacencyList'; import {toNodeId} from '../src/types'; -describe('EfficientGraph', () => { +describe('AdjacencyList', () => { it('constructor should initialize an empty graph', () => { - let graph = new EfficientGraph(1, 1); + let graph = new AdjacencyList(1, 1); assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); assert.deepEqual(graph.edges, new Uint32Array(1 * EDGE_SIZE)); assert.equal(graph.numNodes, 0); @@ -15,14 +15,14 @@ describe('EfficientGraph', () => { }); it('addNode should add a node to the graph', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); let id = graph.addNode(); assert.equal(id, 0); assert.equal(graph.numNodes, 1); }); it('addNode should resize nodes array when necessary', () => { - let graph = new EfficientGraph(1); + let graph = new AdjacencyList(1); graph.addNode(); assert.deepEqual(graph.nodes, new Uint32Array(2 * NODE_SIZE)); graph.addNode(); @@ -34,7 +34,7 @@ describe('EfficientGraph', () => { }); it('removeEdge should remove an edge from the graph', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); let node0 = graph.addNode(); let node1 = graph.addNode(); let node2 = graph.addNode(); @@ -57,7 +57,7 @@ describe('EfficientGraph', () => { }); it('removeEdge should remove an edge of a specific type from the graph', () => { - let graph = new EfficientGraph(2, 5); + let graph = new AdjacencyList(2, 5); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); @@ -97,7 +97,7 @@ describe('EfficientGraph', () => { }); it('addEdge should add an edge to the graph', () => { - let graph = new EfficientGraph(2, 1); + let graph = new AdjacencyList(2, 1); let a = graph.addNode(); let b = graph.addNode(); graph.addEdge(a, b); @@ -107,7 +107,7 @@ describe('EfficientGraph', () => { }); it('addEdge should add multiple edges from a node in order', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); @@ -119,7 +119,7 @@ describe('EfficientGraph', () => { }); it('addEdge should add multiple edges to a node in order', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); @@ -132,7 +132,7 @@ describe('EfficientGraph', () => { }); it('addEdge should add multiple edges of different types in order', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); graph.addEdge(a, b); @@ -148,7 +148,7 @@ describe('EfficientGraph', () => { }); it('addEdge should return false if an edge is already added', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); assert.equal(graph.addEdge(a, b), true); @@ -156,7 +156,7 @@ describe('EfficientGraph', () => { }); it.skip('addEdge should resize edges array when necessary', () => { - let graph = new EfficientGraph(2, 1); + let graph = new AdjacencyList(2, 1); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); @@ -168,7 +168,7 @@ describe('EfficientGraph', () => { }); it('addEdge should error when a node has not been added to the graph', () => { - let graph = new EfficientGraph(2, 1); + let graph = new AdjacencyList(2, 1); assert.throws(() => graph.addEdge(0, 1)); graph.addNode(); assert.throws(() => graph.addEdge(0, 1)); @@ -178,7 +178,7 @@ describe('EfficientGraph', () => { }); it('addEdge should error when an unsupported edge type is provided', () => { - let graph = new EfficientGraph(2, 1); + let graph = new AdjacencyList(2, 1); let a = graph.addNode(); let b = graph.addNode(); assert.throws(() => graph.addEdge(a, b, 0)); @@ -187,7 +187,7 @@ describe('EfficientGraph', () => { }); it('duplicate edge test', () => { - let graph = new EfficientGraph(); + let graph = new AdjacencyList(); for (let i = 0; i < 600; i++) { graph.addNode(); } From 176a3b5f498e1e75b087b4fef6d21029e6cb65a2 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 24 Jun 2021 15:54:06 -0400 Subject: [PATCH 063/117] Make getAllEdges iterable The common use case here is iterating over all the edges to copy them to a new graph. Since a graph may have _a lot_ of edges, we can conserve memory by avoiding collecting all edges up front. --- packages/core/core/src/AdjacencyList.js | 14 +++----------- packages/core/core/src/Graph.js | 15 +++------------ packages/core/core/test/AdjacencyList.test.js | 6 +++--- packages/core/core/test/AssetGraph.test.js | 2 +- packages/core/core/test/Graph.test.js | 15 +++++++++------ 5 files changed, 19 insertions(+), 33 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 2a61ace63fb..664afb990f2 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -537,27 +537,19 @@ export default class AdjacencyList { return index; } - // Probably not the best way to do this - // Doesn't work if you add multiple edges between the same nodes - // ex: - // graph.addEdge(1, 2, 2) - // graph.addEdge(1, 2, 3) - // graph.getAllEdges() only returns [{from: 1, to: 2, type: 2}] - getAllEdges(): Array> { - let edgeObjs = []; + *getAllEdges(): Iterator> { for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { let nextEdge = this.nodes[i + FIRST_OUT]; while (nextEdge) { let edgeIndex = hashToIndex(nextEdge); - edgeObjs.push({ + yield { from: toNodeId(this.edges[edgeIndex + FROM]), to: toNodeId(this.edges[edgeIndex + TO]), type: deletedThrows(this.edges[edgeIndex + TYPE]), - }); + }; nextEdge = this.edges[edgeIndex + NEXT_OUT]; } } - return edgeObjs; } /** diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index b43a859d235..7bd4d51e8f8 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -67,19 +67,10 @@ export default class Graph { }; } - // Returns a list of all edges in the graph. This can be large, so iterating + // Returns an iterator of all edges in the graph. This can be large, so iterating // the complete list can be costly in large graphs. Used when merging graphs. - getAllEdges(): Array> { - // let edges = []; - // for (let [from, edgeList] of this.outboundEdges.getListMap()) { - // for (let [type, toNodes] of edgeList) { - // for (let to of toNodes) { - // edges.push({from, to, type}); - // } - // } - // } - // return edges; - return [...this.adjacencyList.getAllEdges()]; + getAllEdges(): Iterator> { + return this.adjacencyList.getAllEdges(); } addNode(node: TNode): NodeId { diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 274fbd368d5..4085f0ff52f 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -73,7 +73,7 @@ describe('AdjacencyList', () => { assert.ok(graph.hasEdge(a, b, 3)); assert.ok(graph.hasEdge(a, c)); assert.ok(graph.hasEdge(a, d, 3)); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: a, to: b, type: 1}, {from: a, to: b, type: 2}, {from: a, to: b, type: 3}, @@ -88,7 +88,7 @@ describe('AdjacencyList', () => { assert.ok(graph.hasEdge(a, b, 3)); assert.ok(graph.hasEdge(a, c)); assert.ok(graph.hasEdge(a, d, 3)); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: a, to: b, type: 1}, {from: a, to: b, type: 3}, {from: a, to: c, type: 1}, @@ -140,7 +140,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b, 4); graph.addEdge(a, b, 3); assert.deepEqual([...graph.getNodesConnectedFrom(a)], [b]); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: a, to: b, type: 1}, {from: a, to: b, type: 4}, {from: a, to: b, type: 3}, diff --git a/packages/core/core/test/AssetGraph.test.js b/packages/core/core/test/AssetGraph.test.js index b479ca92abc..4ca1805e42d 100644 --- a/packages/core/core/test/AssetGraph.test.js +++ b/packages/core/core/test/AssetGraph.test.js @@ -122,7 +122,7 @@ describe('AssetGraph', () => { }).id, ), ); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ { from: graph.rootNodeId, to: graph.getNodeIdByContentKey('entry_specifier:/path/to/index1'), diff --git a/packages/core/core/test/Graph.test.js b/packages/core/core/test/Graph.test.js index bc97ae98846..84b1154806e 100644 --- a/packages/core/core/test/Graph.test.js +++ b/packages/core/core/test/Graph.test.js @@ -10,7 +10,7 @@ describe('Graph', () => { it('constructor should initialize an empty graph', () => { let graph = new Graph(); assert.deepEqual(graph.nodes, new Map()); - assert.deepEqual(graph.getAllEdges(), []); + assert.deepEqual([...graph.getAllEdges()], []); }); it('addNode should add a node to the graph', () => { @@ -114,7 +114,10 @@ describe('Graph', () => { assert(graph.nodes.has(nodeD)); assert(!graph.nodes.has(nodeB)); assert(!graph.nodes.has(nodeC)); - assert.deepEqual(graph.getAllEdges(), [{from: nodeA, to: nodeD, type: 1}]); + assert.deepEqual( + [...graph.getAllEdges()], + [{from: nodeA, to: nodeD, type: 1}], + ); }); it('removing a node recursively deletes orphaned nodes', () => { @@ -154,7 +157,7 @@ describe('Graph', () => { graph.removeNode(nodeB); assert.deepEqual([...graph.nodes.keys()], [nodeA, nodeC, nodeF]); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: nodeA, to: nodeC, type: 1}, {from: nodeC, to: nodeF, type: 1}, ]); @@ -199,7 +202,7 @@ describe('Graph', () => { graph.removeNode(nodeB); assert.deepEqual([...graph.nodes.keys()], [nodeA, nodeC, nodeF]); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: nodeA, to: nodeC, type: 1}, {from: nodeC, to: nodeF, type: 1}, ]); @@ -234,7 +237,7 @@ describe('Graph', () => { graph.removeEdge(nodeC, nodeE); assert.deepEqual(nodesBefore, getNodeIds()); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: nodeA, to: nodeB, type: 1}, {from: nodeB, to: nodeC, type: 1}, {from: nodeB, to: nodeD, type: 1}, @@ -277,7 +280,7 @@ describe('Graph', () => { assert(graph.hasNode(nodeB)); assert(!graph.hasNode(nodeC)); assert(graph.hasNode(nodeD)); - assert.deepEqual(graph.getAllEdges(), [ + assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: nodeA, to: nodeB, type: 1}, {from: nodeA, to: nodeD, type: 1}, ]); From 3ba2ea6755c269756e44277c61b34532c8e185d3 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 24 Jun 2021 16:05:21 -0400 Subject: [PATCH 064/117] Bail earlier in isOrphan checks --- packages/core/core/src/AdjacencyList.js | 4 ++-- packages/core/core/src/Graph.js | 11 ++--------- 2 files changed, 4 insertions(+), 11 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 664afb990f2..27264c0949d 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -626,7 +626,7 @@ export default class AdjacencyList { *getInboundEdgesByType( to: NodeId, - ): Iterable<{|type: TEdgeType, from: NodeId|}> { + ): Iterator<{|type: TEdgeType, from: NodeId|}> { for ( let hash = this.nodes[indexOfNode(to) + FIRST_IN]; hash; @@ -642,7 +642,7 @@ export default class AdjacencyList { *getOutboundEdgesByType( from: NodeId, - ): Iterable<{|type: TEdgeType, to: NodeId|}> { + ): Iterator<{|type: TEdgeType, to: NodeId|}> { for ( let hash = this.nodes[indexOfNode(from) + FIRST_OUT]; hash; diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 7bd4d51e8f8..55a758fc5ce 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -276,15 +276,8 @@ export default class Graph { if (this.rootNodeId == null) { // If the graph does not have a root, and there are inbound edges, // this node should not be considered orphaned. - // return false; - // for (let id of this.getNodeIdsConnectedTo(nodeId)) { - // if (this.hasNode(id)) return false; - // } - if ([...this.adjacencyList.getInboundEdgesByType(nodeId)].length) { - return false; - } - - return true; + let {done} = this.adjacencyList.getInboundEdgesByType(nodeId).next(); + return done; } // Otherwise, attempt to traverse backwards to the root. If there is a path, From 4e743f67779615c5525896388861e6c578c2aba2 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 24 Jun 2021 16:24:07 -0400 Subject: [PATCH 065/117] Fix flow errors --- packages/core/core/src/AdjacencyList.js | 29 ++++++++----------- packages/core/core/src/ContentGraph.js | 2 +- packages/core/core/test/AdjacencyList.test.js | 8 ++--- 3 files changed, 17 insertions(+), 22 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 27264c0949d..eacbb825df3 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -72,15 +72,16 @@ const FIRST_OUT: 1 = 1; */ const DELETED: 0xffffffff = 0xffffffff; -const isDeleted = (type: number): boolean => type === DELETED; +const isDeleted = (type: TEdgeType): boolean => type === DELETED; -const deletedThrows = (type: number): number => { +const deletedThrows = (type: TEdgeType): TEdgeType => { if (isDeleted(type)) throw new Error('Edge was deleted!'); return type; }; export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; +// eslint-disable-next-line no-unused-vars export type SerializedAdjacencyList = {| nodes: Uint32Array, edges: Uint32Array, @@ -90,21 +91,12 @@ export type SerializedAdjacencyList = {| nodeCapacity: number, |}; -type EdgeAttr = - | typeof TYPE - | typeof FROM - | typeof TO - | typeof NEXT_IN - | typeof NEXT_OUT; - type Edge = {| from: NodeId, to: NodeId, type: TEdgeType, |}; -type NodeAttr = typeof FIRST_IN | typeof FIRST_OUT; - opaque type EdgeHash = number; /** Get the hash of the edge at the given index in the edges array. */ const indexToHash = (index: number): EdgeHash => index + 1; @@ -399,9 +391,12 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - if (from < 0 || from >= this.numNodes) - throw new Error(`Unknown node ${from}`); - if (to < 0 || to >= this.numNodes) throw new Error(`Unknown node ${to}`); + if (fromNodeId(from) < 0 || fromNodeId(from) >= this.numNodes) { + throw new Error(`Unknown node ${String(from)}`); + } + if (fromNodeId(to) < 0 || fromNodeId(to) >= this.numNodes) { + throw new Error(`Unknown node ${String(to)}`); + } if (type <= 0) throw new Error(`Unsupported edge type ${0}`); // The percentage of utilization of the total capacity of `edges`. @@ -545,7 +540,7 @@ export default class AdjacencyList { yield { from: toNodeId(this.edges[edgeIndex + FROM]), to: toNodeId(this.edges[edgeIndex + TO]), - type: deletedThrows(this.edges[edgeIndex + TYPE]), + type: deletedThrows((this.edges[edgeIndex + TYPE]: any)), }; nextEdge = this.edges[edgeIndex + NEXT_OUT]; } @@ -634,7 +629,7 @@ export default class AdjacencyList { ) { let i = hashToIndex(hash); yield { - type: deletedThrows(this.edges[i + TYPE]), + type: deletedThrows((this.edges[i + TYPE]: any)), from: toNodeId(this.edges[i + FROM]), }; } @@ -650,7 +645,7 @@ export default class AdjacencyList { ) { let i = hashToIndex(hash); yield { - type: deletedThrows(this.edges[i + TYPE]), + type: deletedThrows((this.edges[i + TYPE]: any)), to: toNodeId(this.edges[i + TO]), }; } diff --git a/packages/core/core/src/ContentGraph.js b/packages/core/core/src/ContentGraph.js index 07552b9521c..3166ece7f5e 100644 --- a/packages/core/core/src/ContentGraph.js +++ b/packages/core/core/src/ContentGraph.js @@ -9,7 +9,7 @@ export type ContentGraphOpts = {| _contentKeyToNodeId: Map, |}; export type SerializedContentGraph = {| - ...SerializedGraph, + ...SerializedGraph, _contentKeyToNodeId: Map, |}; diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 4085f0ff52f..76c67f64d81 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -169,12 +169,12 @@ describe('AdjacencyList', () => { it('addEdge should error when a node has not been added to the graph', () => { let graph = new AdjacencyList(2, 1); - assert.throws(() => graph.addEdge(0, 1)); + assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(1))); graph.addNode(); - assert.throws(() => graph.addEdge(0, 1)); + assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(1))); graph.addNode(); - assert.doesNotThrow(() => graph.addEdge(0, 1)); - assert.throws(() => graph.addEdge(0, 2)); + assert.doesNotThrow(() => graph.addEdge(toNodeId(0), toNodeId(1))); + assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(2))); }); it('addEdge should error when an unsupported edge type is provided', () => { From 74dafa347f2fb4a05736933cc8a2910a3ab8ff02 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 24 Jun 2021 16:24:41 -0400 Subject: [PATCH 066/117] Clean up Graph changes --- packages/core/core/src/Graph.js | 97 --------------------------------- 1 file changed, 97 deletions(-) diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 55a758fc5ce..4781c44e250 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -104,8 +104,6 @@ export default class Graph { throw new Error(`"to" node '${fromNodeId(to)}' not found`); } - // this.outboundEdges.addEdge(from, to, type); - // this.inboundEdges.addEdge(to, from, type); return this.adjacencyList.addEdge(from, to, type); } @@ -114,7 +112,6 @@ export default class Graph { to: NodeId, type?: TEdgeType | NullEdgeType = 1, ): boolean { - // return this.outboundEdges.hasEdge(from, to, type); return this.adjacencyList.hasEdge(from, to, type); } @@ -125,31 +122,6 @@ export default class Graph { this._assertHasNodeId(nodeId); return [...this.adjacencyList.getNodesConnectedTo(nodeId, type)]; - // let inboundByType = this.inboundEdges.getEdgesByType(nodeId); - // if (inboundByType == null) { - // return []; - // } - - // let nodes; - // if (type === ALL_EDGE_TYPES) { - // nodes = new Set(); - // for (let [, typeNodes] of inboundByType) { - // for (let node of typeNodes) { - // nodes.add(node); - // } - // } - // } else if (Array.isArray(type)) { - // nodes = new Set(); - // for (let typeName of type) { - // for (let node of inboundByType.get(typeName)?.values() ?? []) { - // nodes.add(node); - // } - // } - // } else { - // nodes = new Set(inboundByType.get(type)?.values() ?? []); - // } - - // return [...nodes]; } getNodeIdsConnectedFrom( @@ -159,31 +131,6 @@ export default class Graph { this._assertHasNodeId(nodeId); return [...this.adjacencyList.getNodesConnectedFrom(nodeId, type)]; - // let outboundByType = this.outboundEdges.getEdgesByType(nodeId); - // if (outboundByType == null) { - // return []; - // } - - // let nodes; - // if (type === ALL_EDGE_TYPES) { - // nodes = new Set(); - // for (let [, typeNodes] of outboundByType) { - // for (let node of typeNodes) { - // nodes.add(node); - // } - // } - // } else if (Array.isArray(type)) { - // nodes = new Set(); - // for (let typeName of type) { - // for (let node of outboundByType.get(typeName)?.values() ?? []) { - // nodes.add(node); - // } - // } - // } else { - // nodes = new Set(outboundByType.get(type)?.values() ?? []); - // } - - // return [...nodes]; } // Removes node and any edges coming from or to that node @@ -202,23 +149,6 @@ export default class Graph { false, ); } - // for (let from of [ - // ...this.adjacencyList.getNodesConnectedTo( - // nodeId, - // // $FlowFixMe - // ALL_EDGE_TYPES, - // ), - // ]) { - // this.removeEdge( - // from, - // nodeId, - // // $FlowFixMe - // ALL_EDGE_TYPES /* any type */, - // // Do not allow orphans to be removed as this node could be one - // // and is already being removed. - // false /* removeOrphans */, - // ); - // } for (let {type, to} of [ ...this.adjacencyList.getOutboundEdgesByType(nodeId), @@ -226,16 +156,6 @@ export default class Graph { this.removeEdge(nodeId, to, type); } - // for (let to of [ - // ...this.adjacencyList.getNodesConnectedFrom( - // nodeId, - // // $FlowFixMe - // ALL_EDGE_TYPES, - // ), - // ]) { - // this.removeEdge(nodeId, to); - // } - let wasRemoved = this.nodes.delete(nodeId); assert(wasRemoved); } @@ -243,9 +163,6 @@ export default class Graph { removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 1) { this._assertHasNodeId(nodeId); - // for (let to of this.outboundEdges.getEdges(nodeId, type)) { - // this.removeEdge(nodeId, to, type); - // } for (let to of this.getNodeIdsConnectedFrom(nodeId, type)) { this.removeEdge(nodeId, to, type); } @@ -308,20 +225,6 @@ export default class Graph { this.nodes.set(nodeId, node); } - // TODO: remove because this isn't actually used anywhere? - // replaceNode( - // fromNodeId: NodeId, - // toNodeId: NodeId, - // type: TEdgeType | NullEdgeType = 0, - // ): void { - // this._assertHasNodeId(fromNodeId); - // for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { - // this.addEdge(parent, toNodeId, type); - // this.removeEdge(parent, fromNodeId, type); - // } - // this.removeNode(fromNodeId); - // } - // Update a node's downstream nodes making sure to prune any orphaned branches replaceNodeIdsConnectedTo( fromNodeId: NodeId, From 6b7039e7a2fb5ff7a8ad8861155dd903dff0dbfc Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 24 Jun 2021 16:25:20 -0400 Subject: [PATCH 067/117] Nit: Remove redundant array spread --- packages/core/core/src/Graph.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 4781c44e250..9031beb3a48 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -237,7 +237,7 @@ export default class Graph { let outboundEdges = this.getNodeIdsConnectedFrom(fromNodeId, type); let childrenToRemove = new Set( replaceFilter - ? [...outboundEdges].filter(toNodeId => replaceFilter(toNodeId)) + ? outboundEdges.filter(toNodeId => replaceFilter(toNodeId)) : outboundEdges, ); for (let toNodeId of toNodeIds) { From 6452372c3adcedecfacc4d3e089ecd65fae47cc0 Mon Sep 17 00:00:00 2001 From: thebriando Date: Fri, 25 Jun 2021 09:52:18 -0700 Subject: [PATCH 068/117] remove nextNodeId --- packages/core/core/src/Graph.js | 6 ------ 1 file changed, 6 deletions(-) diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index 9031beb3a48..ff15b895328 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -13,14 +13,12 @@ export type GraphOpts = {| nodes?: Map, adjacencyList?: SerializedAdjacencyList, rootNodeId?: ?NodeId, - nextNodeId?: ?number, |}; export type SerializedGraph = {| nodes: Map, adjacencyList: SerializedAdjacencyList, rootNodeId: ?NodeId, - nextNodeId: number, |}; export type AllEdgeTypes = '@@all_edge_types'; @@ -30,12 +28,10 @@ export default class Graph { nodes: Map; adjacencyList: AdjacencyList; rootNodeId: ?NodeId; - nextNodeId: number = 0; constructor(opts: ?GraphOpts) { this.nodes = opts?.nodes || new Map(); this.setRootNodeId(opts?.rootNodeId); - this.nextNodeId = opts?.nextNodeId ?? 0; let adjacencyList = opts?.adjacencyList; this.adjacencyList = adjacencyList @@ -54,7 +50,6 @@ export default class Graph { nodes: opts.nodes, adjacencyList: opts.adjacencyList, rootNodeId: opts.rootNodeId, - nextNodeId: opts.nextNodeId, }); } @@ -63,7 +58,6 @@ export default class Graph { nodes: this.nodes, adjacencyList: this.adjacencyList.serialize(), rootNodeId: this.rootNodeId, - nextNodeId: this.nextNodeId, }; } From 3b6e83b5366a6c26dd7d4028a05d857fba5811a1 Mon Sep 17 00:00:00 2001 From: thebriando Date: Mon, 28 Jun 2021 14:01:49 -0700 Subject: [PATCH 069/117] Add LAST_IN and LAST_OUT references to node array for constant time insertion --- packages/core/core/src/AdjacencyList.js | 109 ++++++++++++++++-------- 1 file changed, 72 insertions(+), 37 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index eacbb825df3..8c22d0dd14f 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -9,19 +9,23 @@ import type {NullEdgeType, AllEdgeTypes} from './Graph'; * Each node is represented with 2 4-byte chunks: * The first 4 bytes are the hash of the node's first incoming edge. * The second 4 bytes are the hash of the node's first outgoing edge. + * The second 4 bytes are the hash of the node's last incoming edge. + * The second 4 bytes are the hash of the node's last outgoing edge. * * struct Node { * int firstIn; * int firstOut; + * int lastIn; + * int lastOut; * } * - * ┌─────────────────────────┐ - * │ NODE_SIZE │ - * ├────────────┬────────────┤ - * │ FIRST_IN │ FIRST_OUT │ - * └────────────┴────────────┘ + * ┌─────────────────────────────────────────────────┐ + * │ NODE_SIZE │ + * ├────────────┬───────────┬───────────┬────────────┤ + * │ FIRST_IN │ FIRST_OUT │ LAST_IN │ LAST_OUT │ + * └────────────┴───────────┘───────────┴────────────┘ */ -export const NODE_SIZE = 2; +export const NODE_SIZE = 4; /** * Each edge is represented with 5 4-byte chunks: * The first 4 bytes are the edge type. @@ -61,6 +65,10 @@ const NEXT_OUT: 4 = 4; const FIRST_IN: 0 = 0; /** The offset from a node index at which the hash of the first outgoing edge is stored. */ const FIRST_OUT: 1 = 1; +/** The offset from a node index at which the hash of the last incoming edge is stored. */ +const LAST_IN: 2 = 2; +/** The offset from a node index at which the hash of the last outgoing edge is stored. */ +const LAST_OUT: 3 = 3; /** * A sentinel that indicates that an edge was deleted. @@ -316,6 +324,7 @@ export default class AdjacencyList { // link this edge to the current node. this.nodes[i + FIRST_OUT] = indexToHash(index); } + this.nodes[i + LAST_OUT] = indexToHash(index); // Keep track of the last outgoing edge copied. lastIndex = index; } @@ -354,6 +363,7 @@ export default class AdjacencyList { // link this edge to the current node. this.nodes[i + FIRST_IN] = indexToHash(index); } + this.nodes[i + LAST_IN] = indexToHash(index); // Keep track of the last edge copied. lastIndex = index; @@ -426,34 +436,29 @@ export default class AdjacencyList { this.edges[index + FROM] = fromNodeId(from); this.edges[index + TO] = fromNodeId(to); - // Set this edge as the first incoming edge on the `to` node, - // Unless it already has a first incoming edge. + // Set this edge as the last incoming edge on the `to` node, + // Unless it already has a last incoming edge. // In that case, append this edge as the next incoming edge // after the last incoming edge to have been added. - let nextInHash = this.nodes[indexOfNode(to) + FIRST_IN]; - if (nextInHash) { - for (let i = nextInHash; i; i = this.edges[hashToIndex(i) + NEXT_IN]) { - nextInHash = i; - } - this.edges[hashToIndex(nextInHash) + NEXT_IN] = indexToHash(index); + let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; + if (lastInHash) { + this.edges[hashToIndex(lastInHash) + NEXT_IN] = indexToHash(index); } else { - // We store the hash of this edge as the `to` node's incoming edge. this.nodes[indexOfNode(to) + FIRST_IN] = indexToHash(index); } + this.nodes[indexOfNode(to) + LAST_IN] = indexToHash(index); - // Set this edge as the first outgoing edge on the `from` node, - // Unless it already has a first outgoing edge. + // Set this edge as the last outgoing edge on the `from` node, + // Unless it already has a last outgoing edge. // In that case, append this edge as the next outgoing edge // after the last outgoing edge to have been added. - let nextOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; - if (nextOutHash) { - for (let i = nextOutHash; i; i = this.edges[hashToIndex(i) + NEXT_OUT]) { - nextOutHash = i; - } - this.edges[hashToIndex(nextOutHash) + NEXT_OUT] = indexToHash(index); + let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; + if (lastOutHash) { + this.edges[hashToIndex(lastOutHash) + NEXT_OUT] = indexToHash(index); } else { this.nodes[indexOfNode(from) + FIRST_OUT] = indexToHash(index); } + this.nodes[indexOfNode(from) + LAST_OUT] = indexToHash(index); return true; } @@ -574,36 +579,66 @@ export default class AdjacencyList { // Remove outgoing ref to this edge from incoming node. let nextOutHash = this.edges[index + NEXT_OUT]; - let outHash = this.nodes[indexOfNode(from) + FIRST_OUT]; - if (hashToIndex(outHash) === index) { + let firstOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; + if (hashToIndex(firstOutHash) === index) { this.nodes[indexOfNode(from) + FIRST_OUT] = nextOutHash; } else { - let prevOutHash = outHash; + let prevOutHash = firstOutHash; + do { + firstOutHash = this.edges[hashToIndex(firstOutHash) + NEXT_OUT]; + if (hashToIndex(firstOutHash) === index) { + this.edges[hashToIndex(prevOutHash) + NEXT_OUT] = nextOutHash; + break; + } + prevOutHash = firstOutHash; + } while (firstOutHash); + } + + let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; + if (hashToIndex(lastOutHash) === index) { + this.nodes[indexOfNode(from) + LAST_OUT] = nextOutHash; + } else { + let prevOutHash = lastOutHash; do { - outHash = this.edges[hashToIndex(outHash) + NEXT_OUT]; - if (hashToIndex(outHash) === index) { + lastOutHash = this.edges[hashToIndex(lastOutHash) + NEXT_OUT]; + if (hashToIndex(lastOutHash) === index) { this.edges[hashToIndex(prevOutHash) + NEXT_OUT] = nextOutHash; break; } - prevOutHash = outHash; - } while (outHash); + prevOutHash = lastOutHash; + } while (lastOutHash); } // Remove incoming ref to this edge from to outgoing node. let nextInHash = this.edges[index + NEXT_IN]; - let inHash = this.nodes[indexOfNode(to) + FIRST_IN]; - if (hashToIndex(inHash) === index) { + let firstInHash = this.nodes[indexOfNode(to) + FIRST_IN]; + if (hashToIndex(firstInHash) === index) { this.nodes[indexOfNode(to) + FIRST_IN] = nextInHash; } else { - let prevInHash = inHash; + let prevInHash = firstInHash; + do { + firstInHash = this.edges[hashToIndex(firstInHash) + NEXT_IN]; + if (hashToIndex(firstInHash) === index) { + this.edges[hashToIndex(prevInHash) + NEXT_IN] = nextInHash; + break; + } + prevInHash = firstInHash; + } while (firstInHash); + } + + let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; + if (hashToIndex(lastInHash) === index) { + this.nodes[indexOfNode(to) + LAST_IN] = nextInHash; + } else { + let prevInHash = lastInHash; do { - inHash = this.edges[hashToIndex(inHash) + NEXT_IN]; - if (hashToIndex(inHash) === index) { + lastInHash = this.edges[hashToIndex(lastInHash) + NEXT_IN]; + if (hashToIndex(lastInHash) === index) { this.edges[hashToIndex(prevInHash) + NEXT_IN] = nextInHash; break; } - prevInHash = inHash; - } while (inHash); + prevInHash = lastInHash; + } while (lastInHash); } // Mark this slot as DELETED. From c467c77184d44b1d33f686437cf6ba2f0e8df791 Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 30 Jun 2021 11:54:01 -0700 Subject: [PATCH 070/117] Fix references in addEdge/removeEdge --- packages/core/core/src/AdjacencyList.js | 85 +++++++++++++------------ 1 file changed, 44 insertions(+), 41 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 8c22d0dd14f..2dbfdd525df 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -80,12 +80,14 @@ const LAST_OUT: 3 = 3; */ const DELETED: 0xffffffff = 0xffffffff; -const isDeleted = (type: TEdgeType): boolean => type === DELETED; +function isDeleted(type: TEdgeType): boolean { + return type === DELETED; +} -const deletedThrows = (type: TEdgeType): TEdgeType => { +function deletedThrows(type: TEdgeType): TEdgeType { if (isDeleted(type)) throw new Error('Edge was deleted!'); return type; -}; +} export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; @@ -441,7 +443,8 @@ export default class AdjacencyList { // In that case, append this edge as the next incoming edge // after the last incoming edge to have been added. let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; - if (lastInHash) { + let firstInHash = this.nodes[indexOfNode(to) + FIRST_IN]; + if (firstInHash) { this.edges[hashToIndex(lastInHash) + NEXT_IN] = indexToHash(index); } else { this.nodes[indexOfNode(to) + FIRST_IN] = indexToHash(index); @@ -453,7 +456,8 @@ export default class AdjacencyList { // In that case, append this edge as the next outgoing edge // after the last outgoing edge to have been added. let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; - if (lastOutHash) { + let firstOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; + if (firstOutHash) { this.edges[hashToIndex(lastOutHash) + NEXT_OUT] = indexToHash(index); } else { this.nodes[indexOfNode(from) + FIRST_OUT] = indexToHash(index); @@ -580,65 +584,64 @@ export default class AdjacencyList { // Remove outgoing ref to this edge from incoming node. let nextOutHash = this.edges[index + NEXT_OUT]; let firstOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; + let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; + if (hashToIndex(firstOutHash) === index) { this.nodes[indexOfNode(from) + FIRST_OUT] = nextOutHash; } else { let prevOutHash = firstOutHash; + let nextHash = firstOutHash; do { - firstOutHash = this.edges[hashToIndex(firstOutHash) + NEXT_OUT]; - if (hashToIndex(firstOutHash) === index) { + nextHash = this.edges[hashToIndex(nextHash) + NEXT_OUT]; + // If the edge at nextHash is the edge we're trying to remove, set the + // NEXT_OUT of the previous edge to the NEXT_OUT of the edge we're trying + // to remove + if (hashToIndex(nextHash) === index) { this.edges[hashToIndex(prevOutHash) + NEXT_OUT] = nextOutHash; - break; + // if we're not trying to remove LAST_OUT, we can stop here + if (hashToIndex(lastOutHash) !== index) { + break; + } } - prevOutHash = firstOutHash; - } while (firstOutHash); - } - - let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; - if (hashToIndex(lastOutHash) === index) { - this.nodes[indexOfNode(from) + LAST_OUT] = nextOutHash; - } else { - let prevOutHash = lastOutHash; - do { - lastOutHash = this.edges[hashToIndex(lastOutHash) + NEXT_OUT]; - if (hashToIndex(lastOutHash) === index) { - this.edges[hashToIndex(prevOutHash) + NEXT_OUT] = nextOutHash; + // If we're trying to remove the LAST_OUT, and LAST_OUT is the next hash, + // set LAST_OUT to the prev hash + if (nextHash === lastOutHash && index === hashToIndex(lastOutHash)) { + this.nodes[indexOfNode(from) + LAST_OUT] = prevOutHash; break; } - prevOutHash = lastOutHash; - } while (lastOutHash); + prevOutHash = nextHash; + } while (nextHash !== lastOutHash); } // Remove incoming ref to this edge from to outgoing node. let nextInHash = this.edges[index + NEXT_IN]; let firstInHash = this.nodes[indexOfNode(to) + FIRST_IN]; + let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; if (hashToIndex(firstInHash) === index) { this.nodes[indexOfNode(to) + FIRST_IN] = nextInHash; } else { let prevInHash = firstInHash; + let nextHash = firstInHash; do { - firstInHash = this.edges[hashToIndex(firstInHash) + NEXT_IN]; - if (hashToIndex(firstInHash) === index) { + nextHash = this.edges[hashToIndex(nextHash) + NEXT_IN]; + // If the edge at nextHash is the edge we're trying to remove, set the + // NEXT_IN of the previous edge to the NEXT_IN of the edge we're trying + // to remove + if (hashToIndex(nextHash) === index) { this.edges[hashToIndex(prevInHash) + NEXT_IN] = nextInHash; - break; + // if we're not trying to remove LAST_IN, we can stop here + if (hashToIndex(lastInHash) !== index) { + break; + } } - prevInHash = firstInHash; - } while (firstInHash); - } - - let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; - if (hashToIndex(lastInHash) === index) { - this.nodes[indexOfNode(to) + LAST_IN] = nextInHash; - } else { - let prevInHash = lastInHash; - do { - lastInHash = this.edges[hashToIndex(lastInHash) + NEXT_IN]; - if (hashToIndex(lastInHash) === index) { - this.edges[hashToIndex(prevInHash) + NEXT_IN] = nextInHash; + // If we're trying to remove the LAST_IN, and LAST_IN is the next hash, + // set LAST_IN to the prev hash + if (nextHash === lastInHash && index === hashToIndex(lastInHash)) { + this.nodes[indexOfNode(to) + LAST_IN] = prevInHash; break; } - prevInHash = lastInHash; - } while (lastInHash); + prevInHash = nextHash; + } while (nextHash !== lastInHash); } // Mark this slot as DELETED. From e95fa90645c534803ea3b574c491b73f2e6850d4 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 25 Jun 2021 10:31:57 -0400 Subject: [PATCH 071/117] Update addEdge tests for managing deleted edges --- packages/core/core/src/AdjacencyList.js | 2 +- packages/core/core/test/AdjacencyList.test.js | 7337 +---------------- 2 files changed, 41 insertions(+), 7298 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 2dbfdd525df..e47aab4243d 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -80,7 +80,7 @@ const LAST_OUT: 3 = 3; */ const DELETED: 0xffffffff = 0xffffffff; -function isDeleted(type: TEdgeType): boolean { +export function isDeleted(type: TEdgeType): boolean { return type === DELETED; } diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 76c67f64d81..826cb5680e6 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -2,7 +2,11 @@ import assert from 'assert'; -import AdjacencyList, {NODE_SIZE, EDGE_SIZE} from '../src/AdjacencyList'; +import AdjacencyList, { + NODE_SIZE, + EDGE_SIZE, + isDeleted, +} from '../src/AdjacencyList'; import {toNodeId} from '../src/types'; describe('AdjacencyList', () => { @@ -155,16 +159,16 @@ describe('AdjacencyList', () => { assert.equal(graph.addEdge(a, b), false); }); - it.skip('addEdge should resize edges array when necessary', () => { + it('addEdge should resize edges array when necessary', () => { let graph = new AdjacencyList(2, 1); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); assert.equal(graph.edges.length, EDGE_SIZE); graph.addEdge(a, b); - assert.equal(graph.edges.length, EDGE_SIZE); - graph.addEdge(a, c); assert.equal(graph.edges.length, EDGE_SIZE * 2); + graph.addEdge(a, c); + assert.equal(graph.edges.length, EDGE_SIZE * 4); }); it('addEdge should error when a node has not been added to the graph', () => { @@ -186,7299 +190,38 @@ describe('AdjacencyList', () => { assert.doesNotThrow(() => graph.addEdge(a, b, 1)); }); - it('duplicate edge test', () => { + it('addEdge should not replace a deleted edge if the edge was already added', () => { + let graph = new AdjacencyList(); + // Mock hash fn to generate collisions + // $FlowFixMe[cannot-write] + graph.hash = () => 1; + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1, 1); + graph.addEdge(n1, n2, 1); + let index = graph.indexOf(n0, n1, 1); + assert(graph.edges[index] > 0); + assert(!isDeleted(graph.edges[index])); + graph.removeEdge(n0, n1, 1); + assert(isDeleted(graph.edges[index])); + graph.addEdge(n1, n2, 1); + assert(isDeleted(graph.edges[index])); + assert(graph.numEdges === 1); + }); + + it('addEdge should replace a deleted edge', () => { let graph = new AdjacencyList(); - for (let i = 0; i < 600; i++) { - graph.addNode(); - } - graph.addEdge(0, 1, 1); - graph.addEdge(1, 2, 1); - graph.addEdge(1, 3, 1); - graph.addEdge(1, 4, 1); - graph.addEdge(1, 5, 1); - graph.addEdge(1, 6, 1); - graph.addEdge(1, 7, 1); - graph.addEdge(1, 8, 1); - graph.addEdge(2, 9, 1); - graph.addEdge(3, 10, 1); - graph.addEdge(4, 11, 1); - graph.addEdge(5, 12, 1); - graph.addEdge(6, 13, 1); - graph.addEdge(7, 14, 1); - graph.addEdge(8, 15, 1); - graph.addEdge(9, 16, 1); - graph.addEdge(10, 22, 1); - graph.addEdge(11, 26, 1); - graph.addEdge(12, 18, 1); - graph.addEdge(13, 24, 1); - graph.addEdge(14, 28, 1); - graph.addEdge(15, 20, 1); - graph.addEdge(16, 17, 1); - graph.addEdge(17, 30, 1); - graph.addEdge(18, 19, 1); - graph.addEdge(19, 33, 1); - graph.addEdge(20, 21, 1); - graph.addEdge(21, 36, 1); - graph.addEdge(22, 23, 1); - graph.addEdge(23, 70, 1); - graph.addEdge(24, 25, 1); - graph.addEdge(25, 75, 1); - graph.addEdge(26, 27, 1); - graph.addEdge(27, 141, 1); - graph.addEdge(28, 29, 1); - graph.addEdge(29, 144, 1); - graph.addEdge(30, 31, 1); - graph.addEdge(30, 32, 1); - graph.addEdge(31, 39, 1); - graph.addEdge(32, 78, 1); - graph.addEdge(33, 34, 1); - graph.addEdge(33, 35, 1); - graph.addEdge(34, 48, 1); - graph.addEdge(35, 46, 1); - graph.addEdge(36, 37, 1); - graph.addEdge(36, 38, 1); - graph.addEdge(37, 176, 1); - graph.addEdge(38, 41, 1); - graph.addEdge(73, 48, 1); - graph.addEdge(143, 48, 1); - graph.addEdge(71, 39, 1); - graph.addEdge(76, 46, 1); - graph.addEdge(117, 46, 1); - graph.addEdge(146, 176, 1); - graph.addEdge(74, 41, 1); - graph.addEdge(39, 40, 1); - graph.addEdge(40, 179, 1); - graph.addEdge(41, 42, 1); - graph.addEdge(41, 43, 1); - graph.addEdge(41, 44, 1); - graph.addEdge(41, 45, 1); - graph.addEdge(42, 57, 1); - graph.addEdge(43, 64, 1); - graph.addEdge(44, 85, 1); - graph.addEdge(45, 67, 1); - graph.addEdge(46, 47, 1); - graph.addEdge(47, 64, 1); - graph.addEdge(139, 85, 1); - graph.addEdge(50, 179, 1); - graph.addEdge(48, 49, 1); - graph.addEdge(48, 50, 1); - graph.addEdge(48, 51, 1); - graph.addEdge(48, 52, 1); - graph.addEdge(48, 53, 1); - graph.addEdge(48, 54, 1); - graph.addEdge(48, 55, 1); - graph.addEdge(48, 56, 1); - graph.addEdge(49, 221, 1); - graph.addEdge(51, 102, 1); - graph.addEdge(52, 111, 1); - graph.addEdge(53, 89, 1); - graph.addEdge(54, 100, 1); - graph.addEdge(55, 116, 1); - graph.addEdge(56, 107, 1); - graph.addEdge(57, 58, 1); - graph.addEdge(57, 59, 1); - graph.addEdge(57, 60, 1); - graph.addEdge(57, 61, 1); - graph.addEdge(57, 62, 1); - graph.addEdge(57, 63, 1); - graph.addEdge(58, 92, 1); - graph.addEdge(59, 223, 1); - graph.addEdge(60, 222, 1); - graph.addEdge(61, 221, 1); - graph.addEdge(62, 121, 1); - graph.addEdge(63, 120, 1); - graph.addEdge(64, 65, 1); - graph.addEdge(64, 66, 1); - graph.addEdge(65, 122, 1); - graph.addEdge(66, 96, 1); - graph.addEdge(103, 111, 1); - graph.addEdge(257, 111, 1); - graph.addEdge(363, 111, 1); - graph.addEdge(434, 111, 1); - graph.addEdge(455, 111, 1); - graph.addEdge(80, 89, 1); - graph.addEdge(287, 89, 1); - graph.addEdge(290, 89, 1); - graph.addEdge(303, 89, 1); - graph.addEdge(345, 89, 1); - graph.addEdge(137, 116, 1); - graph.addEdge(261, 221, 1); - graph.addEdge(190, 107, 1); - graph.addEdge(310, 121, 1); - graph.addEdge(330, 121, 1); - graph.addEdge(389, 121, 1); - graph.addEdge(160, 122, 1); - graph.addEdge(237, 122, 1); - graph.addEdge(67, 68, 1); - graph.addEdge(67, 69, 1); - graph.addEdge(68, 131, 1); - graph.addEdge(69, 134, 1); - graph.addEdge(82, 131, 1); - graph.addEdge(129, 131, 1); - graph.addEdge(214, 131, 1); - graph.addEdge(245, 131, 1); - graph.addEdge(155, 134, 1); - graph.addEdge(233, 134, 1); - graph.addEdge(326, 134, 1); - graph.addEdge(396, 134, 1); - graph.addEdge(406, 134, 1); - graph.addEdge(429, 134, 1); - graph.addEdge(500, 134, 1); - graph.addEdge(70, 71, 1); - graph.addEdge(70, 72, 1); - graph.addEdge(70, 73, 1); - graph.addEdge(70, 74, 1); - graph.addEdge(72, 135, 1); - graph.addEdge(75, 76, 1); - graph.addEdge(75, 77, 1); - graph.addEdge(77, 149, 1); - graph.addEdge(78, 79, 1); - graph.addEdge(78, 80, 1); - graph.addEdge(78, 81, 1); - graph.addEdge(78, 82, 1); - graph.addEdge(78, 83, 1); - graph.addEdge(78, 84, 1); - graph.addEdge(79, 123, 1); - graph.addEdge(81, 138, 1); - graph.addEdge(83, 163, 1); - graph.addEdge(84, 126, 1); - graph.addEdge(85, 86, 1); - graph.addEdge(85, 87, 1); - graph.addEdge(85, 88, 1); - graph.addEdge(86, 130, 1); - graph.addEdge(87, 147, 1); - graph.addEdge(88, 225, 1); - graph.addEdge(90, 123, 1); - graph.addEdge(182, 123, 1); - graph.addEdge(454, 123, 1); - graph.addEdge(174, 163, 1); - graph.addEdge(319, 163, 1); - graph.addEdge(334, 163, 1); - graph.addEdge(200, 126, 1); - graph.addEdge(291, 126, 1); - graph.addEdge(315, 126, 1); - graph.addEdge(414, 130, 1); - graph.addEdge(118, 147, 1); - graph.addEdge(119, 225, 1); - graph.addEdge(142, 135, 1); - graph.addEdge(145, 149, 1); - graph.addEdge(89, 90, 1); - graph.addEdge(89, 91, 1); - graph.addEdge(91, 229, 1); - graph.addEdge(92, 93, 1); - graph.addEdge(92, 94, 1); - graph.addEdge(92, 95, 1); - graph.addEdge(93, 165, 1); - graph.addEdge(94, 164, 1); - graph.addEdge(95, 228, 1); - graph.addEdge(96, 97, 1); - graph.addEdge(96, 98, 1); - graph.addEdge(96, 99, 1); - graph.addEdge(97, 241, 1); - graph.addEdge(98, 231, 1); - graph.addEdge(99, 162, 1); - graph.addEdge(124, 229, 1); - graph.addEdge(450, 165, 1); - graph.addEdge(460, 165, 1); - graph.addEdge(204, 231, 1); - graph.addEdge(435, 231, 1); - graph.addEdge(100, 101, 1); - graph.addEdge(101, 152, 1); - graph.addEdge(102, 103, 1); - graph.addEdge(102, 104, 1); - graph.addEdge(102, 105, 1); - graph.addEdge(102, 106, 1); - graph.addEdge(104, 264, 1); - graph.addEdge(105, 156, 1); - graph.addEdge(106, 234, 1); - graph.addEdge(107, 108, 1); - graph.addEdge(107, 109, 1); - graph.addEdge(107, 110, 1); - graph.addEdge(108, 159, 1); - graph.addEdge(109, 236, 1); - graph.addEdge(110, 211, 1); - graph.addEdge(111, 112, 1); - graph.addEdge(111, 113, 1); - graph.addEdge(111, 114, 1); - graph.addEdge(111, 115, 1); - graph.addEdge(112, 162, 1); - graph.addEdge(113, 265, 1); - graph.addEdge(114, 215, 1); - graph.addEdge(115, 171, 1); - graph.addEdge(161, 162, 1); - graph.addEdge(195, 162, 1); - graph.addEdge(205, 162, 1); - graph.addEdge(262, 162, 1); - graph.addEdge(266, 162, 1); - graph.addEdge(436, 162, 1); - graph.addEdge(218, 241, 1); - graph.addEdge(260, 241, 1); - graph.addEdge(367, 241, 1); - graph.addEdge(426, 241, 1); - graph.addEdge(258, 234, 1); - graph.addEdge(439, 234, 1); - graph.addEdge(458, 234, 1); - graph.addEdge(313, 159, 1); - graph.addEdge(346, 236, 1); - graph.addEdge(201, 211, 1); - graph.addEdge(304, 211, 1); - graph.addEdge(116, 117, 1); - graph.addEdge(116, 118, 1); - graph.addEdge(116, 119, 1); - graph.addEdge(123, 124, 1); - graph.addEdge(123, 125, 1); - graph.addEdge(125, 209, 1); - graph.addEdge(126, 127, 1); - graph.addEdge(126, 128, 1); - graph.addEdge(126, 129, 1); - graph.addEdge(127, 202, 1); - graph.addEdge(128, 173, 1); - graph.addEdge(244, 209, 1); - graph.addEdge(513, 209, 1); - graph.addEdge(212, 202, 1); - graph.addEdge(131, 132, 1); - graph.addEdge(131, 133, 1); - graph.addEdge(132, 251, 1); - graph.addEdge(133, 210, 1); - graph.addEdge(135, 136, 1); - graph.addEdge(135, 137, 1); - graph.addEdge(136, 248, 1); - graph.addEdge(138, 139, 1); - graph.addEdge(138, 140, 1); - graph.addEdge(140, 243, 1); - graph.addEdge(405, 210, 1); - graph.addEdge(438, 210, 1); - graph.addEdge(519, 251, 1); - graph.addEdge(178, 243, 1); - graph.addEdge(141, 142, 1); - graph.addEdge(141, 143, 1); - graph.addEdge(144, 145, 1); - graph.addEdge(144, 146, 1); - graph.addEdge(147, 148, 1); - graph.addEdge(148, 268, 1); - graph.addEdge(149, 150, 1); - graph.addEdge(149, 151, 1); - graph.addEdge(150, 271, 1); - graph.addEdge(151, 269, 1); - graph.addEdge(300, 269, 1); - graph.addEdge(446, 269, 1); - graph.addEdge(158, 271, 1); - graph.addEdge(152, 153, 1); - graph.addEdge(152, 154, 1); - graph.addEdge(152, 155, 1); - graph.addEdge(153, 217, 1); - graph.addEdge(154, 254, 1); - graph.addEdge(156, 157, 1); - graph.addEdge(156, 158, 1); - graph.addEdge(157, 256, 1); - graph.addEdge(159, 160, 1); - graph.addEdge(159, 161, 1); - graph.addEdge(252, 217, 1); - graph.addEdge(325, 217, 1); - graph.addEdge(342, 217, 1); - graph.addEdge(404, 217, 1); - graph.addEdge(428, 217, 1); - graph.addEdge(238, 254, 1); - graph.addEdge(318, 254, 1); - graph.addEdge(361, 256, 1); - graph.addEdge(165, 166, 1); - graph.addEdge(165, 167, 1); - graph.addEdge(165, 168, 1); - graph.addEdge(165, 169, 1); - graph.addEdge(165, 170, 1); - graph.addEdge(166, 274, 1); - graph.addEdge(167, 272, 1); - graph.addEdge(168, 278, 1); - graph.addEdge(169, 282, 1); - graph.addEdge(170, 280, 1); - graph.addEdge(171, 172, 1); - graph.addEdge(172, 259, 1); - graph.addEdge(173, 174, 1); - graph.addEdge(173, 175, 1); - graph.addEdge(175, 305, 1); - graph.addEdge(176, 177, 1); - graph.addEdge(176, 178, 1); - graph.addEdge(177, 299, 1); - graph.addEdge(179, 180, 1); - graph.addEdge(179, 181, 1); - graph.addEdge(179, 182, 1); - graph.addEdge(179, 183, 1); - graph.addEdge(179, 184, 1); - graph.addEdge(179, 185, 1); - graph.addEdge(179, 186, 1); - graph.addEdge(179, 187, 1); - graph.addEdge(179, 188, 1); - graph.addEdge(179, 189, 1); - graph.addEdge(179, 190, 1); - graph.addEdge(179, 191, 1); - graph.addEdge(179, 192, 1); - graph.addEdge(179, 193, 1); - graph.addEdge(179, 194, 1); - graph.addEdge(179, 195, 1); - graph.addEdge(179, 196, 1); - graph.addEdge(179, 197, 1); - graph.addEdge(179, 198, 1); - graph.addEdge(179, 199, 1); - graph.addEdge(179, 200, 1); - graph.addEdge(179, 201, 1); - graph.addEdge(180, 292, 1); - graph.addEdge(181, 320, 1); - graph.addEdge(183, 289, 1); - graph.addEdge(184, 302, 1); - graph.addEdge(185, 284, 1); - graph.addEdge(186, 322, 1); - graph.addEdge(187, 286, 1); - graph.addEdge(188, 344, 1); - graph.addEdge(189, 312, 1); - graph.addEdge(191, 336, 1); - graph.addEdge(192, 321, 1); - graph.addEdge(193, 347, 1); - graph.addEdge(194, 316, 1); - graph.addEdge(196, 383, 1); - graph.addEdge(197, 387, 1); - graph.addEdge(198, 386, 1); - graph.addEdge(199, 328, 1); - graph.addEdge(395, 336, 1); - graph.addEdge(499, 336, 1); - graph.addEdge(206, 383, 1); - graph.addEdge(247, 386, 1); - graph.addEdge(253, 386, 1); - graph.addEdge(333, 386, 1); - graph.addEdge(393, 386, 1); - graph.addEdge(457, 386, 1); - graph.addEdge(479, 386, 1); - graph.addEdge(521, 386, 1); - graph.addEdge(202, 203, 1); - graph.addEdge(202, 204, 1); - graph.addEdge(202, 205, 1); - graph.addEdge(202, 206, 1); - graph.addEdge(202, 207, 1); - graph.addEdge(202, 208, 1); - graph.addEdge(203, 307, 1); - graph.addEdge(207, 323, 1); - graph.addEdge(208, 308, 1); - graph.addEdge(246, 323, 1); - graph.addEdge(437, 323, 1); - graph.addEdge(456, 323, 1); - graph.addEdge(211, 212, 1); - graph.addEdge(211, 213, 1); - graph.addEdge(211, 214, 1); - graph.addEdge(213, 332, 1); - graph.addEdge(215, 216, 1); - graph.addEdge(216, 364, 1); - graph.addEdge(217, 218, 1); - graph.addEdge(217, 219, 1); - graph.addEdge(217, 220, 1); - graph.addEdge(219, 366, 1); - graph.addEdge(220, 368, 1); - graph.addEdge(223, 224, 1); - graph.addEdge(224, 407, 1); - graph.addEdge(225, 226, 1); - graph.addEdge(225, 227, 1); - graph.addEdge(226, 411, 1); - graph.addEdge(227, 415, 1); - graph.addEdge(229, 230, 1); - graph.addEdge(230, 353, 1); - graph.addEdge(231, 232, 1); - graph.addEdge(231, 233, 1); - graph.addEdge(232, 427, 1); - graph.addEdge(234, 235, 1); - graph.addEdge(235, 324, 1); - graph.addEdge(236, 237, 1); - graph.addEdge(236, 238, 1); - graph.addEdge(236, 239, 1); - graph.addEdge(236, 240, 1); - graph.addEdge(239, 416, 1); - graph.addEdge(240, 327, 1); - graph.addEdge(241, 242, 1); - graph.addEdge(242, 355, 1); - graph.addEdge(413, 353, 1); - graph.addEdge(263, 324, 1); - graph.addEdge(267, 324, 1); - graph.addEdge(480, 324, 1); - graph.addEdge(288, 416, 1); - graph.addEdge(314, 416, 1); - graph.addEdge(418, 327, 1); - graph.addEdge(243, 244, 1); - graph.addEdge(243, 245, 1); - graph.addEdge(243, 246, 1); - graph.addEdge(243, 247, 1); - graph.addEdge(248, 249, 1); - graph.addEdge(248, 250, 1); - graph.addEdge(249, 360, 1); - graph.addEdge(250, 357, 1); - graph.addEdge(251, 252, 1); - graph.addEdge(251, 253, 1); - graph.addEdge(285, 355, 1); - graph.addEdge(384, 355, 1); - graph.addEdge(400, 355, 1); - graph.addEdge(424, 355, 1); - graph.addEdge(473, 355, 1); - graph.addEdge(491, 355, 1); - graph.addEdge(496, 355, 1); - graph.addEdge(509, 355, 1); - graph.addEdge(529, 355, 1); - graph.addEdge(254, 255, 1); - graph.addEdge(255, 391, 1); - graph.addEdge(256, 257, 1); - graph.addEdge(256, 258, 1); - graph.addEdge(259, 260, 1); - graph.addEdge(259, 261, 1); - graph.addEdge(259, 262, 1); - graph.addEdge(259, 263, 1); - graph.addEdge(306, 391, 1); - graph.addEdge(265, 266, 1); - graph.addEdge(265, 267, 1); - graph.addEdge(269, 270, 1); - graph.addEdge(270, 430, 1); - graph.addEdge(272, 273, 1); - graph.addEdge(273, 369, 1); - graph.addEdge(274, 275, 1); - graph.addEdge(274, 276, 1); - graph.addEdge(274, 277, 1); - graph.addEdge(275, 371, 1); - graph.addEdge(276, 377, 1); - graph.addEdge(277, 398, 1); - graph.addEdge(278, 279, 1); - graph.addEdge(279, 369, 1); - graph.addEdge(280, 281, 1); - graph.addEdge(281, 369, 1); - graph.addEdge(283, 369, 1); - graph.addEdge(293, 377, 1); - graph.addEdge(448, 377, 1); - graph.addEdge(468, 377, 1); - graph.addEdge(338, 398, 1); - graph.addEdge(449, 398, 1); - graph.addEdge(282, 283, 1); - graph.addEdge(284, 285, 1); - graph.addEdge(286, 287, 1); - graph.addEdge(286, 288, 1); - graph.addEdge(289, 290, 1); - graph.addEdge(289, 291, 1); - graph.addEdge(292, 293, 1); - graph.addEdge(292, 294, 1); - graph.addEdge(292, 295, 1); - graph.addEdge(292, 296, 1); - graph.addEdge(292, 297, 1); - graph.addEdge(292, 298, 1); - graph.addEdge(294, 467, 1); - graph.addEdge(295, 452, 1); - graph.addEdge(296, 466, 1); - graph.addEdge(297, 451, 1); - graph.addEdge(298, 447, 1); - graph.addEdge(299, 300, 1); - graph.addEdge(299, 301, 1); - graph.addEdge(301, 444, 1); - graph.addEdge(302, 303, 1); - graph.addEdge(302, 304, 1); - graph.addEdge(305, 306, 1); - graph.addEdge(308, 309, 1); - graph.addEdge(308, 310, 1); - graph.addEdge(308, 311, 1); - graph.addEdge(309, 403, 1); - graph.addEdge(311, 401, 1); - graph.addEdge(331, 401, 1); - graph.addEdge(390, 401, 1); - graph.addEdge(312, 313, 1); - graph.addEdge(312, 314, 1); - graph.addEdge(312, 315, 1); - graph.addEdge(316, 317, 1); - graph.addEdge(316, 318, 1); - graph.addEdge(316, 319, 1); - graph.addEdge(317, 392, 1); - graph.addEdge(324, 325, 1); - graph.addEdge(324, 326, 1); - graph.addEdge(328, 329, 1); - graph.addEdge(328, 330, 1); - graph.addEdge(328, 331, 1); - graph.addEdge(329, 394, 1); - graph.addEdge(332, 333, 1); - graph.addEdge(332, 334, 1); - graph.addEdge(332, 335, 1); - graph.addEdge(335, 397, 1); - graph.addEdge(336, 337, 1); - graph.addEdge(336, 338, 1); - graph.addEdge(336, 339, 1); - graph.addEdge(336, 340, 1); - graph.addEdge(336, 341, 1); - graph.addEdge(336, 342, 1); - graph.addEdge(336, 343, 1); - graph.addEdge(337, 471, 1); - graph.addEdge(339, 489, 1); - graph.addEdge(340, 422, 1); - graph.addEdge(341, 494, 1); - graph.addEdge(343, 421, 1); - graph.addEdge(344, 345, 1); - graph.addEdge(344, 346, 1); - graph.addEdge(347, 348, 1); - graph.addEdge(347, 349, 1); - graph.addEdge(347, 350, 1); - graph.addEdge(347, 351, 1); - graph.addEdge(347, 352, 1); - graph.addEdge(348, 469, 1); - graph.addEdge(349, 419, 1); - graph.addEdge(350, 497, 1); - graph.addEdge(351, 425, 1); - graph.addEdge(352, 492, 1); - graph.addEdge(522, 421, 1); - graph.addEdge(420, 469, 1); - graph.addEdge(493, 469, 1); - graph.addEdge(353, 354, 1); - graph.addEdge(354, 440, 1); - graph.addEdge(355, 356, 1); - graph.addEdge(356, 432, 1); - graph.addEdge(357, 358, 1); - graph.addEdge(357, 359, 1); - graph.addEdge(358, 443, 1); - graph.addEdge(359, 433, 1); - graph.addEdge(360, 361, 1); - graph.addEdge(360, 362, 1); - graph.addEdge(360, 363, 1); - graph.addEdge(362, 453, 1); - graph.addEdge(399, 440, 1); - graph.addEdge(423, 440, 1); - graph.addEdge(472, 440, 1); - graph.addEdge(490, 440, 1); - graph.addEdge(495, 440, 1); - graph.addEdge(502, 440, 1); - graph.addEdge(402, 432, 1); - graph.addEdge(364, 365, 1); - graph.addEdge(365, 459, 1); - graph.addEdge(366, 367, 1); - graph.addEdge(369, 370, 1); - graph.addEdge(370, 463, 1); - graph.addEdge(371, 372, 1); - graph.addEdge(371, 373, 1); - graph.addEdge(371, 374, 1); - graph.addEdge(371, 375, 1); - graph.addEdge(371, 376, 1); - graph.addEdge(372, 461, 1); - graph.addEdge(373, 481, 1); - graph.addEdge(374, 464, 1); - graph.addEdge(375, 484, 1); - graph.addEdge(376, 486, 1); - graph.addEdge(377, 378, 1); - graph.addEdge(377, 379, 1); - graph.addEdge(377, 380, 1); - graph.addEdge(377, 381, 1); - graph.addEdge(377, 382, 1); - graph.addEdge(378, 488, 1); - graph.addEdge(379, 503, 1); - graph.addEdge(380, 475, 1); - graph.addEdge(381, 482, 1); - graph.addEdge(382, 505, 1); - graph.addEdge(383, 384, 1); - graph.addEdge(383, 385, 1); - graph.addEdge(385, 474, 1); - graph.addEdge(387, 388, 1); - graph.addEdge(387, 389, 1); - graph.addEdge(387, 390, 1); - graph.addEdge(388, 498, 1); - graph.addEdge(392, 393, 1); - graph.addEdge(394, 395, 1); - graph.addEdge(394, 396, 1); - graph.addEdge(398, 399, 1); - graph.addEdge(398, 400, 1); - graph.addEdge(401, 402, 1); - graph.addEdge(403, 404, 1); - graph.addEdge(403, 405, 1); - graph.addEdge(403, 406, 1); - graph.addEdge(407, 408, 1); - graph.addEdge(407, 409, 1); - graph.addEdge(407, 410, 1); - graph.addEdge(408, 507, 1); - graph.addEdge(409, 515, 1); - graph.addEdge(410, 514, 1); - graph.addEdge(411, 412, 1); - graph.addEdge(411, 413, 1); - graph.addEdge(411, 414, 1); - graph.addEdge(412, 516, 1); - graph.addEdge(416, 417, 1); - graph.addEdge(416, 418, 1); - graph.addEdge(417, 517, 1); - graph.addEdge(419, 420, 1); - graph.addEdge(422, 423, 1); - graph.addEdge(422, 424, 1); - graph.addEdge(425, 426, 1); - graph.addEdge(427, 428, 1); - graph.addEdge(427, 429, 1); - graph.addEdge(430, 431, 1); - graph.addEdge(431, 477, 1); - graph.addEdge(433, 434, 1); - graph.addEdge(433, 435, 1); - graph.addEdge(433, 436, 1); - graph.addEdge(433, 437, 1); - graph.addEdge(433, 438, 1); - graph.addEdge(433, 439, 1); - graph.addEdge(440, 441, 1); - graph.addEdge(440, 442, 1); - graph.addEdge(441, 518, 1); - graph.addEdge(442, 523, 1); - graph.addEdge(444, 445, 1); - graph.addEdge(444, 446, 1); - graph.addEdge(445, 524, 1); - graph.addEdge(447, 448, 1); - graph.addEdge(447, 449, 1); - graph.addEdge(447, 450, 1); - graph.addEdge(453, 454, 1); - graph.addEdge(453, 455, 1); - graph.addEdge(453, 456, 1); - graph.addEdge(453, 457, 1); - graph.addEdge(453, 458, 1); - graph.addEdge(459, 460, 1); - graph.addEdge(461, 462, 1); - graph.addEdge(462, 501, 1); - graph.addEdge(464, 465, 1); - graph.addEdge(465, 501, 1); - graph.addEdge(485, 501, 1); - graph.addEdge(487, 501, 1); - graph.addEdge(467, 468, 1); - graph.addEdge(469, 470, 1); - graph.addEdge(470, 508, 1); - graph.addEdge(471, 472, 1); - graph.addEdge(471, 473, 1); - graph.addEdge(475, 476, 1); - graph.addEdge(476, 512, 1); - graph.addEdge(477, 478, 1); - graph.addEdge(477, 479, 1); - graph.addEdge(477, 480, 1); - graph.addEdge(478, 510, 1); - graph.addEdge(482, 483, 1); - graph.addEdge(483, 512, 1); - graph.addEdge(484, 485, 1); - graph.addEdge(486, 487, 1); - graph.addEdge(504, 512, 1); - graph.addEdge(506, 512, 1); - graph.addEdge(489, 490, 1); - graph.addEdge(489, 491, 1); - graph.addEdge(492, 493, 1); - graph.addEdge(494, 495, 1); - graph.addEdge(494, 496, 1); - graph.addEdge(498, 499, 1); - graph.addEdge(498, 500, 1); - graph.addEdge(501, 502, 1); - graph.addEdge(503, 504, 1); - graph.addEdge(505, 506, 1); - graph.addEdge(508, 509, 1); - graph.addEdge(510, 511, 1); - graph.addEdge(511, 525, 1); - graph.addEdge(512, 513, 1); - graph.addEdge(518, 519, 1); - graph.addEdge(518, 520, 1); - graph.addEdge(518, 521, 1); - graph.addEdge(518, 522, 1); - graph.addEdge(520, 526, 1); - graph.addEdge(526, 527, 1); - graph.addEdge(527, 528, 1); - graph.addEdge(528, 529, 1); - graph.addEdge(9, 530, 1); - graph.addEdge(530, 16, 1); - graph.addEdge(9, 16, 4); - graph.removeEdge(9, 16, 1); - graph.addEdge(0, 530, 3); - graph.addEdge(531, 16, 1); - graph.addEdge(530, 531, 1); - graph.addEdge(530, 531, 3); - graph.removeEdge(530, 16, 1); - graph.addEdge(532, 30, 1); - graph.addEdge(530, 532, 1); - graph.addEdge(530, 532, 3); - graph.addEdge(17, 30, 4); - graph.addEdge(17, 532, 4); - graph.removeEdge(17, 30, 1); - graph.addEdge(10, 533, 1); - graph.addEdge(533, 22, 1); - graph.addEdge(10, 22, 4); - graph.removeEdge(10, 22, 1); - graph.addEdge(0, 533, 3); - graph.addEdge(534, 22, 1); - graph.addEdge(533, 534, 1); - graph.addEdge(533, 534, 3); - graph.removeEdge(533, 22, 1); - graph.addEdge(535, 70, 1); - graph.addEdge(533, 535, 1); - graph.addEdge(533, 535, 3); - graph.addEdge(23, 70, 4); - graph.addEdge(23, 535, 4); - graph.removeEdge(23, 70, 1); - graph.addEdge(11, 536, 1); - graph.addEdge(536, 26, 1); - graph.addEdge(11, 26, 4); - graph.removeEdge(11, 26, 1); - graph.addEdge(0, 536, 3); - graph.addEdge(537, 26, 1); - graph.addEdge(536, 537, 1); - graph.addEdge(536, 537, 3); - graph.removeEdge(536, 26, 1); - graph.addEdge(538, 141, 1); - graph.addEdge(536, 538, 1); - graph.addEdge(536, 538, 3); - graph.addEdge(27, 141, 4); - graph.addEdge(27, 538, 4); - graph.removeEdge(27, 141, 1); - graph.addEdge(12, 539, 1); - graph.addEdge(539, 18, 1); - graph.addEdge(12, 18, 4); - graph.removeEdge(12, 18, 1); - graph.addEdge(0, 539, 3); - graph.addEdge(540, 18, 1); - graph.addEdge(539, 540, 1); - graph.addEdge(539, 540, 3); - graph.removeEdge(539, 18, 1); - graph.addEdge(541, 33, 1); - graph.addEdge(539, 541, 1); - graph.addEdge(539, 541, 3); - graph.addEdge(19, 33, 4); - graph.addEdge(19, 541, 4); - graph.removeEdge(19, 33, 1); - graph.addEdge(13, 542, 1); - graph.addEdge(542, 24, 1); - graph.addEdge(13, 24, 4); - graph.removeEdge(13, 24, 1); - graph.addEdge(0, 542, 3); - graph.addEdge(543, 24, 1); - graph.addEdge(542, 543, 1); - graph.addEdge(542, 543, 3); - graph.removeEdge(542, 24, 1); - graph.addEdge(544, 75, 1); - graph.addEdge(542, 544, 1); - graph.addEdge(542, 544, 3); - graph.addEdge(25, 75, 4); - graph.addEdge(25, 544, 4); - graph.removeEdge(25, 75, 1); - graph.addEdge(14, 545, 1); - graph.addEdge(545, 28, 1); - graph.addEdge(14, 28, 4); - graph.removeEdge(14, 28, 1); - graph.addEdge(0, 545, 3); - graph.addEdge(546, 28, 1); - graph.addEdge(545, 546, 1); - graph.addEdge(545, 546, 3); - graph.removeEdge(545, 28, 1); - graph.addEdge(547, 144, 1); - graph.addEdge(545, 547, 1); - graph.addEdge(545, 547, 3); - graph.addEdge(29, 144, 4); - graph.addEdge(29, 547, 4); - graph.removeEdge(29, 144, 1); - graph.addEdge(15, 548, 1); - graph.addEdge(548, 20, 1); - graph.addEdge(15, 20, 4); - graph.removeEdge(15, 20, 1); - graph.addEdge(0, 548, 3); - graph.addEdge(549, 20, 1); - graph.addEdge(548, 549, 1); - graph.addEdge(548, 549, 3); - graph.removeEdge(548, 20, 1); - graph.addEdge(550, 36, 1); - graph.addEdge(548, 550, 1); - graph.addEdge(548, 550, 3); - graph.addEdge(21, 36, 4); - graph.addEdge(21, 550, 4); - graph.removeEdge(21, 36, 1); - graph.addEdge(531, 16, 2); - graph.addEdge(531, 17, 2); - graph.addEdge(531, 17, 4); - graph.addEdge(532, 30, 2); - graph.addEdge(532, 31, 2); - graph.addEdge(532, 39, 2); - graph.addEdge(532, 40, 2); - graph.addEdge(532, 179, 2); - graph.addEdge(532, 180, 2); - graph.addEdge(532, 292, 2); - graph.addEdge(532, 293, 2); - graph.addEdge(532, 377, 2); - graph.addEdge(532, 378, 2); - graph.addEdge(532, 488, 2); - graph.addEdge(532, 379, 2); - graph.addEdge(532, 503, 2); - graph.addEdge(532, 504, 2); - graph.addEdge(532, 512, 2); - graph.addEdge(532, 513, 2); - graph.addEdge(532, 209, 2); - graph.addEdge(532, 380, 2); - graph.addEdge(532, 475, 2); - graph.addEdge(532, 476, 2); - graph.addEdge(532, 381, 2); - graph.addEdge(532, 482, 2); - graph.addEdge(532, 483, 2); - graph.addEdge(532, 382, 2); - graph.addEdge(532, 505, 2); - graph.addEdge(532, 506, 2); - graph.addEdge(532, 294, 2); - graph.addEdge(532, 467, 2); - graph.addEdge(532, 468, 2); - graph.addEdge(532, 295, 2); - graph.addEdge(532, 452, 2); - graph.addEdge(532, 296, 2); - graph.addEdge(532, 466, 2); - graph.addEdge(532, 297, 2); - graph.addEdge(532, 451, 2); - graph.addEdge(532, 298, 2); - graph.addEdge(532, 447, 2); - graph.addEdge(532, 448, 2); - graph.addEdge(532, 449, 2); - graph.addEdge(532, 398, 2); - graph.addEdge(532, 399, 2); - graph.addEdge(532, 440, 2); - graph.addEdge(532, 441, 2); - graph.addEdge(532, 518, 2); - graph.addEdge(532, 519, 2); - graph.addEdge(532, 251, 2); - graph.addEdge(532, 252, 2); - graph.addEdge(532, 217, 2); - graph.addEdge(532, 218, 2); - graph.addEdge(532, 241, 2); - graph.addEdge(532, 242, 2); - graph.addEdge(532, 355, 2); - graph.addEdge(532, 356, 2); - graph.addEdge(532, 432, 2); - graph.addEdge(532, 219, 2); - graph.addEdge(532, 366, 2); - graph.addEdge(532, 367, 2); - graph.addEdge(532, 220, 2); - graph.addEdge(532, 368, 2); - graph.addEdge(532, 253, 2); - graph.addEdge(532, 386, 2); - graph.addEdge(532, 520, 2); - graph.addEdge(532, 526, 2); - graph.addEdge(532, 527, 2); - graph.addEdge(532, 528, 2); - graph.addEdge(532, 529, 2); - graph.addEdge(532, 521, 2); - graph.addEdge(532, 522, 2); - graph.addEdge(532, 421, 2); - graph.addEdge(532, 442, 2); - graph.addEdge(532, 523, 2); - graph.addEdge(532, 400, 2); - graph.addEdge(532, 450, 2); - graph.addEdge(532, 165, 2); - graph.addEdge(532, 166, 2); - graph.addEdge(532, 274, 2); - graph.addEdge(532, 275, 2); - graph.addEdge(532, 371, 2); - graph.addEdge(532, 372, 2); - graph.addEdge(532, 461, 2); - graph.addEdge(532, 462, 2); - graph.addEdge(532, 501, 2); - graph.addEdge(532, 502, 2); - graph.addEdge(532, 373, 2); - graph.addEdge(532, 481, 2); - graph.addEdge(532, 374, 2); - graph.addEdge(532, 464, 2); - graph.addEdge(532, 465, 2); - graph.addEdge(532, 375, 2); - graph.addEdge(532, 484, 2); - graph.addEdge(532, 485, 2); - graph.addEdge(532, 376, 2); - graph.addEdge(532, 486, 2); - graph.addEdge(532, 487, 2); - graph.addEdge(532, 276, 2); - graph.addEdge(532, 277, 2); - graph.addEdge(532, 167, 2); - graph.addEdge(532, 272, 2); - graph.addEdge(532, 273, 2); - graph.addEdge(532, 369, 2); - graph.addEdge(532, 370, 2); - graph.addEdge(532, 463, 2); - graph.addEdge(532, 168, 2); - graph.addEdge(532, 278, 2); - graph.addEdge(532, 279, 2); - graph.addEdge(532, 169, 2); - graph.addEdge(532, 282, 2); - graph.addEdge(532, 283, 2); - graph.addEdge(532, 170, 2); - graph.addEdge(532, 280, 2); - graph.addEdge(532, 281, 2); - graph.addEdge(532, 181, 2); - graph.addEdge(532, 320, 2); - graph.addEdge(532, 182, 2); - graph.addEdge(532, 123, 2); - graph.addEdge(532, 124, 2); - graph.addEdge(532, 229, 2); - graph.addEdge(532, 230, 2); - graph.addEdge(532, 353, 2); - graph.addEdge(532, 354, 2); - graph.addEdge(532, 125, 2); - graph.addEdge(532, 183, 2); - graph.addEdge(532, 289, 2); - graph.addEdge(532, 290, 2); - graph.addEdge(532, 89, 2); - graph.addEdge(532, 90, 2); - graph.addEdge(532, 91, 2); - graph.addEdge(532, 291, 2); - graph.addEdge(532, 126, 2); - graph.addEdge(532, 127, 2); - graph.addEdge(532, 202, 2); - graph.addEdge(532, 203, 2); - graph.addEdge(532, 307, 2); - graph.addEdge(532, 204, 2); - graph.addEdge(532, 231, 2); - graph.addEdge(532, 232, 2); - graph.addEdge(532, 427, 2); - graph.addEdge(532, 428, 2); - graph.addEdge(532, 429, 2); - graph.addEdge(532, 134, 2); - graph.addEdge(532, 233, 2); - graph.addEdge(532, 205, 2); - graph.addEdge(532, 162, 2); - graph.addEdge(532, 206, 2); - graph.addEdge(532, 383, 2); - graph.addEdge(532, 384, 2); - graph.addEdge(532, 385, 2); - graph.addEdge(532, 474, 2); - graph.addEdge(532, 207, 2); - graph.addEdge(532, 323, 2); - graph.addEdge(532, 208, 2); - graph.addEdge(532, 308, 2); - graph.addEdge(532, 309, 2); - graph.addEdge(532, 403, 2); - graph.addEdge(532, 404, 2); - graph.addEdge(532, 405, 2); - graph.addEdge(532, 210, 2); - graph.addEdge(532, 406, 2); - graph.addEdge(532, 310, 2); - graph.addEdge(532, 121, 2); - graph.addEdge(532, 311, 2); - graph.addEdge(532, 401, 2); - graph.addEdge(532, 402, 2); - graph.addEdge(532, 128, 2); - graph.addEdge(532, 173, 2); - graph.addEdge(532, 174, 2); - graph.addEdge(532, 163, 2); - graph.addEdge(532, 175, 2); - graph.addEdge(532, 305, 2); - graph.addEdge(532, 306, 2); - graph.addEdge(532, 391, 2); - graph.addEdge(532, 129, 2); - graph.addEdge(532, 131, 2); - graph.addEdge(532, 132, 2); - graph.addEdge(532, 133, 2); - graph.addEdge(532, 184, 2); - graph.addEdge(532, 302, 2); - graph.addEdge(532, 303, 2); - graph.addEdge(532, 304, 2); - graph.addEdge(532, 211, 2); - graph.addEdge(532, 212, 2); - graph.addEdge(532, 213, 2); - graph.addEdge(532, 332, 2); - graph.addEdge(532, 333, 2); - graph.addEdge(532, 334, 2); - graph.addEdge(532, 335, 2); - graph.addEdge(532, 397, 2); - graph.addEdge(532, 214, 2); - graph.addEdge(532, 185, 2); - graph.addEdge(532, 284, 2); - graph.addEdge(532, 285, 2); - graph.addEdge(532, 186, 2); - graph.addEdge(532, 322, 2); - graph.addEdge(532, 187, 2); - graph.addEdge(532, 286, 2); - graph.addEdge(532, 287, 2); - graph.addEdge(532, 288, 2); - graph.addEdge(532, 416, 2); - graph.addEdge(532, 417, 2); - graph.addEdge(532, 517, 2); - graph.addEdge(532, 418, 2); - graph.addEdge(532, 327, 2); - graph.addEdge(532, 188, 2); - graph.addEdge(532, 344, 2); - graph.addEdge(532, 345, 2); - graph.addEdge(532, 346, 2); - graph.addEdge(532, 236, 2); - graph.addEdge(532, 237, 2); - graph.addEdge(532, 122, 2); - graph.addEdge(532, 238, 2); - graph.addEdge(532, 254, 2); - graph.addEdge(532, 255, 2); - graph.addEdge(532, 239, 2); - graph.addEdge(532, 240, 2); - graph.addEdge(532, 189, 2); - graph.addEdge(532, 312, 2); - graph.addEdge(532, 313, 2); - graph.addEdge(532, 159, 2); - graph.addEdge(532, 160, 2); - graph.addEdge(532, 161, 2); - graph.addEdge(532, 314, 2); - graph.addEdge(532, 315, 2); - graph.addEdge(532, 190, 2); - graph.addEdge(532, 107, 2); - graph.addEdge(532, 108, 2); - graph.addEdge(532, 109, 2); - graph.addEdge(532, 110, 2); - graph.addEdge(532, 191, 2); - graph.addEdge(532, 336, 2); - graph.addEdge(532, 337, 2); - graph.addEdge(532, 471, 2); - graph.addEdge(532, 472, 2); - graph.addEdge(532, 473, 2); - graph.addEdge(532, 338, 2); - graph.addEdge(532, 339, 2); - graph.addEdge(532, 489, 2); - graph.addEdge(532, 490, 2); - graph.addEdge(532, 491, 2); - graph.addEdge(532, 340, 2); - graph.addEdge(532, 422, 2); - graph.addEdge(532, 423, 2); - graph.addEdge(532, 424, 2); - graph.addEdge(532, 341, 2); - graph.addEdge(532, 494, 2); - graph.addEdge(532, 495, 2); - graph.addEdge(532, 496, 2); - graph.addEdge(532, 342, 2); - graph.addEdge(532, 343, 2); - graph.addEdge(532, 192, 2); - graph.addEdge(532, 321, 2); - graph.addEdge(532, 193, 2); - graph.addEdge(532, 347, 2); - graph.addEdge(532, 348, 2); - graph.addEdge(532, 469, 2); - graph.addEdge(532, 470, 2); - graph.addEdge(532, 508, 2); - graph.addEdge(532, 509, 2); - graph.addEdge(532, 349, 2); - graph.addEdge(532, 419, 2); - graph.addEdge(532, 420, 2); - graph.addEdge(532, 350, 2); - graph.addEdge(532, 497, 2); - graph.addEdge(532, 351, 2); - graph.addEdge(532, 425, 2); - graph.addEdge(532, 426, 2); - graph.addEdge(532, 352, 2); - graph.addEdge(532, 492, 2); - graph.addEdge(532, 493, 2); - graph.addEdge(532, 194, 2); - graph.addEdge(532, 316, 2); - graph.addEdge(532, 317, 2); - graph.addEdge(532, 392, 2); - graph.addEdge(532, 393, 2); - graph.addEdge(532, 318, 2); - graph.addEdge(532, 319, 2); - graph.addEdge(532, 195, 2); - graph.addEdge(532, 196, 2); - graph.addEdge(532, 197, 2); - graph.addEdge(532, 387, 2); - graph.addEdge(532, 388, 2); - graph.addEdge(532, 498, 2); - graph.addEdge(532, 499, 2); - graph.addEdge(532, 500, 2); - graph.addEdge(532, 389, 2); - graph.addEdge(532, 390, 2); - graph.addEdge(532, 198, 2); - graph.addEdge(532, 199, 2); - graph.addEdge(532, 328, 2); - graph.addEdge(532, 329, 2); - graph.addEdge(532, 394, 2); - graph.addEdge(532, 395, 2); - graph.addEdge(532, 396, 2); - graph.addEdge(532, 330, 2); - graph.addEdge(532, 331, 2); - graph.addEdge(532, 200, 2); - graph.addEdge(532, 201, 2); - graph.addEdge(532, 32, 2); - graph.addEdge(532, 78, 2); - graph.addEdge(532, 79, 2); - graph.addEdge(532, 80, 2); - graph.addEdge(532, 81, 2); - graph.addEdge(532, 138, 2); - graph.addEdge(532, 139, 2); - graph.addEdge(532, 85, 2); - graph.addEdge(532, 86, 2); - graph.addEdge(532, 130, 2); - graph.addEdge(532, 87, 2); - graph.addEdge(532, 147, 2); - graph.addEdge(532, 148, 2); - graph.addEdge(532, 268, 2); - graph.addEdge(532, 88, 2); - graph.addEdge(532, 225, 2); - graph.addEdge(532, 226, 2); - graph.addEdge(532, 411, 2); - graph.addEdge(532, 412, 2); - graph.addEdge(532, 516, 2); - graph.addEdge(532, 413, 2); - graph.addEdge(532, 414, 2); - graph.addEdge(532, 227, 2); - graph.addEdge(532, 415, 2); - graph.addEdge(532, 140, 2); - graph.addEdge(532, 243, 2); - graph.addEdge(532, 244, 2); - graph.addEdge(532, 245, 2); - graph.addEdge(532, 246, 2); - graph.addEdge(532, 247, 2); - graph.addEdge(532, 82, 2); - graph.addEdge(532, 83, 2); - graph.addEdge(532, 84, 2); - graph.addEdge(534, 22, 2); - graph.addEdge(534, 23, 2); - graph.addEdge(534, 23, 4); - graph.addEdge(535, 70, 2); - graph.addEdge(535, 71, 2); - graph.addEdge(535, 39, 2); - graph.addEdge(535, 40, 2); - graph.addEdge(535, 179, 2); - graph.addEdge(535, 180, 2); - graph.addEdge(535, 292, 2); - graph.addEdge(535, 293, 2); - graph.addEdge(535, 377, 2); - graph.addEdge(535, 378, 2); - graph.addEdge(535, 488, 2); - graph.addEdge(535, 379, 2); - graph.addEdge(535, 503, 2); - graph.addEdge(535, 504, 2); - graph.addEdge(535, 512, 2); - graph.addEdge(535, 513, 2); - graph.addEdge(535, 209, 2); - graph.addEdge(535, 380, 2); - graph.addEdge(535, 475, 2); - graph.addEdge(535, 476, 2); - graph.addEdge(535, 381, 2); - graph.addEdge(535, 482, 2); - graph.addEdge(535, 483, 2); - graph.addEdge(535, 382, 2); - graph.addEdge(535, 505, 2); - graph.addEdge(535, 506, 2); - graph.addEdge(535, 294, 2); - graph.addEdge(535, 467, 2); - graph.addEdge(535, 468, 2); - graph.addEdge(535, 295, 2); - graph.addEdge(535, 452, 2); - graph.addEdge(535, 296, 2); - graph.addEdge(535, 466, 2); - graph.addEdge(535, 297, 2); - graph.addEdge(535, 451, 2); - graph.addEdge(535, 298, 2); - graph.addEdge(535, 447, 2); - graph.addEdge(535, 448, 2); - graph.addEdge(535, 449, 2); - graph.addEdge(535, 398, 2); - graph.addEdge(535, 399, 2); - graph.addEdge(535, 440, 2); - graph.addEdge(535, 441, 2); - graph.addEdge(535, 518, 2); - graph.addEdge(535, 519, 2); - graph.addEdge(535, 251, 2); - graph.addEdge(535, 252, 2); - graph.addEdge(535, 217, 2); - graph.addEdge(535, 218, 2); - graph.addEdge(535, 241, 2); - graph.addEdge(535, 242, 2); - graph.addEdge(535, 355, 2); - graph.addEdge(535, 356, 2); - graph.addEdge(535, 432, 2); - graph.addEdge(535, 219, 2); - graph.addEdge(535, 366, 2); - graph.addEdge(535, 367, 2); - graph.addEdge(535, 220, 2); - graph.addEdge(535, 368, 2); - graph.addEdge(535, 253, 2); - graph.addEdge(535, 386, 2); - graph.addEdge(535, 520, 2); - graph.addEdge(535, 526, 2); - graph.addEdge(535, 527, 2); - graph.addEdge(535, 528, 2); - graph.addEdge(535, 529, 2); - graph.addEdge(535, 521, 2); - graph.addEdge(535, 522, 2); - graph.addEdge(535, 421, 2); - graph.addEdge(535, 442, 2); - graph.addEdge(535, 523, 2); - graph.addEdge(535, 400, 2); - graph.addEdge(535, 450, 2); - graph.addEdge(535, 165, 2); - graph.addEdge(535, 166, 2); - graph.addEdge(535, 274, 2); - graph.addEdge(535, 275, 2); - graph.addEdge(535, 371, 2); - graph.addEdge(535, 372, 2); - graph.addEdge(535, 461, 2); - graph.addEdge(535, 462, 2); - graph.addEdge(535, 501, 2); - graph.addEdge(535, 502, 2); - graph.addEdge(535, 373, 2); - graph.addEdge(535, 481, 2); - graph.addEdge(535, 374, 2); - graph.addEdge(535, 464, 2); - graph.addEdge(535, 465, 2); - graph.addEdge(535, 375, 2); - graph.addEdge(535, 484, 2); - graph.addEdge(535, 485, 2); - graph.addEdge(535, 376, 2); - graph.addEdge(535, 486, 2); - graph.addEdge(535, 487, 2); - graph.addEdge(535, 276, 2); - graph.addEdge(535, 277, 2); - graph.addEdge(535, 167, 2); - graph.addEdge(535, 272, 2); - graph.addEdge(535, 273, 2); - graph.addEdge(535, 369, 2); - graph.addEdge(535, 370, 2); - graph.addEdge(535, 463, 2); - graph.addEdge(535, 168, 2); - graph.addEdge(535, 278, 2); - graph.addEdge(535, 279, 2); - graph.addEdge(535, 169, 2); - graph.addEdge(535, 282, 2); - graph.addEdge(535, 283, 2); - graph.addEdge(535, 170, 2); - graph.addEdge(535, 280, 2); - graph.addEdge(535, 281, 2); - graph.addEdge(535, 181, 2); - graph.addEdge(535, 320, 2); - graph.addEdge(535, 182, 2); - graph.addEdge(535, 123, 2); - graph.addEdge(535, 124, 2); - graph.addEdge(535, 229, 2); - graph.addEdge(535, 230, 2); - graph.addEdge(535, 353, 2); - graph.addEdge(535, 354, 2); - graph.addEdge(535, 125, 2); - graph.addEdge(535, 183, 2); - graph.addEdge(535, 289, 2); - graph.addEdge(535, 290, 2); - graph.addEdge(535, 89, 2); - graph.addEdge(535, 90, 2); - graph.addEdge(535, 91, 2); - graph.addEdge(535, 291, 2); - graph.addEdge(535, 126, 2); - graph.addEdge(535, 127, 2); - graph.addEdge(535, 202, 2); - graph.addEdge(535, 203, 2); - graph.addEdge(535, 307, 2); - graph.addEdge(535, 204, 2); - graph.addEdge(535, 231, 2); - graph.addEdge(535, 232, 2); - graph.addEdge(535, 427, 2); - graph.addEdge(535, 428, 2); - graph.addEdge(535, 429, 2); - graph.addEdge(535, 134, 2); - graph.addEdge(535, 233, 2); - graph.addEdge(535, 205, 2); - graph.addEdge(535, 162, 2); - graph.addEdge(535, 206, 2); - graph.addEdge(535, 383, 2); - graph.addEdge(535, 384, 2); - graph.addEdge(535, 385, 2); - graph.addEdge(535, 474, 2); - graph.addEdge(535, 207, 2); - graph.addEdge(535, 323, 2); - graph.addEdge(535, 208, 2); - graph.addEdge(535, 308, 2); - graph.addEdge(535, 309, 2); - graph.addEdge(535, 403, 2); - graph.addEdge(535, 404, 2); - graph.addEdge(535, 405, 2); - graph.addEdge(535, 210, 2); - graph.addEdge(535, 406, 2); - graph.addEdge(535, 310, 2); - graph.addEdge(535, 121, 2); - graph.addEdge(535, 311, 2); - graph.addEdge(535, 401, 2); - graph.addEdge(535, 402, 2); - graph.addEdge(535, 128, 2); - graph.addEdge(535, 173, 2); - graph.addEdge(535, 174, 2); - graph.addEdge(535, 163, 2); - graph.addEdge(535, 175, 2); - graph.addEdge(535, 305, 2); - graph.addEdge(535, 306, 2); - graph.addEdge(535, 391, 2); - graph.addEdge(535, 129, 2); - graph.addEdge(535, 131, 2); - graph.addEdge(535, 132, 2); - graph.addEdge(535, 133, 2); - graph.addEdge(535, 184, 2); - graph.addEdge(535, 302, 2); - graph.addEdge(535, 303, 2); - graph.addEdge(535, 304, 2); - graph.addEdge(535, 211, 2); - graph.addEdge(535, 212, 2); - graph.addEdge(535, 213, 2); - graph.addEdge(535, 332, 2); - graph.addEdge(535, 333, 2); - graph.addEdge(535, 334, 2); - graph.addEdge(535, 335, 2); - graph.addEdge(535, 397, 2); - graph.addEdge(535, 214, 2); - graph.addEdge(535, 185, 2); - graph.addEdge(535, 284, 2); - graph.addEdge(535, 285, 2); - graph.addEdge(535, 186, 2); - graph.addEdge(535, 322, 2); - graph.addEdge(535, 187, 2); - graph.addEdge(535, 286, 2); - graph.addEdge(535, 287, 2); - graph.addEdge(535, 288, 2); - graph.addEdge(535, 416, 2); - graph.addEdge(535, 417, 2); - graph.addEdge(535, 517, 2); - graph.addEdge(535, 418, 2); - graph.addEdge(535, 327, 2); - graph.addEdge(535, 188, 2); - graph.addEdge(535, 344, 2); - graph.addEdge(535, 345, 2); - graph.addEdge(535, 346, 2); - graph.addEdge(535, 236, 2); - graph.addEdge(535, 237, 2); - graph.addEdge(535, 122, 2); - graph.addEdge(535, 238, 2); - graph.addEdge(535, 254, 2); - graph.addEdge(535, 255, 2); - graph.addEdge(535, 239, 2); - graph.addEdge(535, 240, 2); - graph.addEdge(535, 189, 2); - graph.addEdge(535, 312, 2); - graph.addEdge(535, 313, 2); - graph.addEdge(535, 159, 2); - graph.addEdge(535, 160, 2); - graph.addEdge(535, 161, 2); - graph.addEdge(535, 314, 2); - graph.addEdge(535, 315, 2); - graph.addEdge(535, 190, 2); - graph.addEdge(535, 107, 2); - graph.addEdge(535, 108, 2); - graph.addEdge(535, 109, 2); - graph.addEdge(535, 110, 2); - graph.addEdge(535, 191, 2); - graph.addEdge(535, 336, 2); - graph.addEdge(535, 337, 2); - graph.addEdge(535, 471, 2); - graph.addEdge(535, 472, 2); - graph.addEdge(535, 473, 2); - graph.addEdge(535, 338, 2); - graph.addEdge(535, 339, 2); - graph.addEdge(535, 489, 2); - graph.addEdge(535, 490, 2); - graph.addEdge(535, 491, 2); - graph.addEdge(535, 340, 2); - graph.addEdge(535, 422, 2); - graph.addEdge(535, 423, 2); - graph.addEdge(535, 424, 2); - graph.addEdge(535, 341, 2); - graph.addEdge(535, 494, 2); - graph.addEdge(535, 495, 2); - graph.addEdge(535, 496, 2); - graph.addEdge(535, 342, 2); - graph.addEdge(535, 343, 2); - graph.addEdge(535, 192, 2); - graph.addEdge(535, 321, 2); - graph.addEdge(535, 193, 2); - graph.addEdge(535, 347, 2); - graph.addEdge(535, 348, 2); - graph.addEdge(535, 469, 2); - graph.addEdge(535, 470, 2); - graph.addEdge(535, 508, 2); - graph.addEdge(535, 509, 2); - graph.addEdge(535, 349, 2); - graph.addEdge(535, 419, 2); - graph.addEdge(535, 420, 2); - graph.addEdge(535, 350, 2); - graph.addEdge(535, 497, 2); - graph.addEdge(535, 351, 2); - graph.addEdge(535, 425, 2); - graph.addEdge(535, 426, 2); - graph.addEdge(535, 352, 2); - graph.addEdge(535, 492, 2); - graph.addEdge(535, 493, 2); - graph.addEdge(535, 194, 2); - graph.addEdge(535, 316, 2); - graph.addEdge(535, 317, 2); - graph.addEdge(535, 392, 2); - graph.addEdge(535, 393, 2); - graph.addEdge(535, 318, 2); - graph.addEdge(535, 319, 2); - graph.addEdge(535, 195, 2); - graph.addEdge(535, 196, 2); - graph.addEdge(535, 197, 2); - graph.addEdge(535, 387, 2); - graph.addEdge(535, 388, 2); - graph.addEdge(535, 498, 2); - graph.addEdge(535, 499, 2); - graph.addEdge(535, 500, 2); - graph.addEdge(535, 389, 2); - graph.addEdge(535, 390, 2); - graph.addEdge(535, 198, 2); - graph.addEdge(535, 199, 2); - graph.addEdge(535, 328, 2); - graph.addEdge(535, 329, 2); - graph.addEdge(535, 394, 2); - graph.addEdge(535, 395, 2); - graph.addEdge(535, 396, 2); - graph.addEdge(535, 330, 2); - graph.addEdge(535, 331, 2); - graph.addEdge(535, 200, 2); - graph.addEdge(535, 201, 2); - graph.addEdge(535, 72, 2); - graph.addEdge(535, 135, 2); - graph.addEdge(535, 136, 2); - graph.addEdge(535, 248, 2); - graph.addEdge(535, 249, 2); - graph.addEdge(535, 360, 2); - graph.addEdge(535, 361, 2); - graph.addEdge(535, 256, 2); - graph.addEdge(535, 257, 2); - graph.addEdge(535, 111, 2); - graph.addEdge(535, 112, 2); - graph.addEdge(535, 113, 2); - graph.addEdge(535, 265, 2); - graph.addEdge(535, 266, 2); - graph.addEdge(535, 267, 2); - graph.addEdge(535, 324, 2); - graph.addEdge(535, 325, 2); - graph.addEdge(535, 326, 2); - graph.addEdge(535, 114, 2); - graph.addEdge(535, 215, 2); - graph.addEdge(535, 216, 2); - graph.addEdge(535, 364, 2); - graph.addEdge(535, 365, 2); - graph.addEdge(535, 459, 2); - graph.addEdge(535, 460, 2); - graph.addEdge(535, 115, 2); - graph.addEdge(535, 171, 2); - graph.addEdge(535, 172, 2); - graph.addEdge(535, 259, 2); - graph.addEdge(535, 260, 2); - graph.addEdge(535, 261, 2); - graph.addEdge(535, 221, 2); - graph.addEdge(535, 262, 2); - graph.addEdge(535, 263, 2); - graph.addEdge(535, 258, 2); - graph.addEdge(535, 234, 2); - graph.addEdge(535, 235, 2); - graph.addEdge(535, 362, 2); - graph.addEdge(535, 453, 2); - graph.addEdge(535, 454, 2); - graph.addEdge(535, 455, 2); - graph.addEdge(535, 456, 2); - graph.addEdge(535, 457, 2); - graph.addEdge(535, 458, 2); - graph.addEdge(535, 363, 2); - graph.addEdge(535, 250, 2); - graph.addEdge(535, 357, 2); - graph.addEdge(535, 358, 2); - graph.addEdge(535, 443, 2); - graph.addEdge(535, 359, 2); - graph.addEdge(535, 433, 2); - graph.addEdge(535, 434, 2); - graph.addEdge(535, 435, 2); - graph.addEdge(535, 436, 2); - graph.addEdge(535, 437, 2); - graph.addEdge(535, 438, 2); - graph.addEdge(535, 439, 2); - graph.addEdge(535, 137, 2); - graph.addEdge(535, 116, 2); - graph.addEdge(535, 117, 2); - graph.addEdge(535, 46, 2); - graph.addEdge(535, 47, 2); - graph.addEdge(535, 64, 2); - graph.addEdge(535, 65, 2); - graph.addEdge(535, 66, 2); - graph.addEdge(535, 96, 2); - graph.addEdge(535, 97, 2); - graph.addEdge(535, 98, 2); - graph.addEdge(535, 99, 2); - graph.addEdge(535, 118, 2); - graph.addEdge(535, 147, 2); - graph.addEdge(535, 148, 2); - graph.addEdge(535, 268, 2); - graph.addEdge(535, 119, 2); - graph.addEdge(535, 225, 2); - graph.addEdge(535, 226, 2); - graph.addEdge(535, 411, 2); - graph.addEdge(535, 412, 2); - graph.addEdge(535, 516, 2); - graph.addEdge(535, 413, 2); - graph.addEdge(535, 414, 2); - graph.addEdge(535, 130, 2); - graph.addEdge(535, 227, 2); - graph.addEdge(535, 415, 2); - graph.addEdge(535, 73, 2); - graph.addEdge(535, 48, 2); - graph.addEdge(535, 49, 2); - graph.addEdge(535, 50, 2); - graph.addEdge(535, 51, 2); - graph.addEdge(535, 102, 2); - graph.addEdge(535, 103, 2); - graph.addEdge(535, 104, 2); - graph.addEdge(535, 264, 2); - graph.addEdge(535, 105, 2); - graph.addEdge(535, 156, 2); - graph.addEdge(535, 157, 2); - graph.addEdge(535, 158, 2); - graph.addEdge(535, 271, 2); - graph.addEdge(535, 106, 2); - graph.addEdge(535, 52, 2); - graph.addEdge(535, 53, 2); - graph.addEdge(535, 54, 2); - graph.addEdge(535, 100, 2); - graph.addEdge(535, 101, 2); - graph.addEdge(535, 152, 2); - graph.addEdge(535, 153, 2); - graph.addEdge(535, 154, 2); - graph.addEdge(535, 155, 2); - graph.addEdge(535, 55, 2); - graph.addEdge(535, 56, 2); - graph.addEdge(535, 74, 2); - graph.addEdge(535, 41, 2); - graph.addEdge(535, 42, 2); - graph.addEdge(535, 57, 2); - graph.addEdge(535, 58, 2); - graph.addEdge(535, 92, 2); - graph.addEdge(535, 93, 2); - graph.addEdge(535, 94, 2); - graph.addEdge(535, 164, 2); - graph.addEdge(535, 95, 2); - graph.addEdge(535, 228, 2); - graph.addEdge(535, 59, 2); - graph.addEdge(535, 223, 2); - graph.addEdge(535, 224, 2); - graph.addEdge(535, 407, 2); - graph.addEdge(535, 408, 2); - graph.addEdge(535, 507, 2); - graph.addEdge(535, 409, 2); - graph.addEdge(535, 515, 2); - graph.addEdge(535, 410, 2); - graph.addEdge(535, 514, 2); - graph.addEdge(535, 60, 2); - graph.addEdge(535, 222, 2); - graph.addEdge(535, 61, 2); - graph.addEdge(535, 62, 2); - graph.addEdge(535, 63, 2); - graph.addEdge(535, 120, 2); - graph.addEdge(535, 43, 2); - graph.addEdge(535, 44, 2); - graph.addEdge(535, 85, 2); - graph.addEdge(535, 86, 2); - graph.addEdge(535, 87, 2); - graph.addEdge(535, 88, 2); - graph.addEdge(535, 45, 2); - graph.addEdge(535, 67, 2); - graph.addEdge(535, 68, 2); - graph.addEdge(535, 69, 2); - graph.addEdge(537, 26, 2); - graph.addEdge(537, 27, 2); - graph.addEdge(537, 27, 4); - graph.addEdge(538, 141, 2); - graph.addEdge(538, 142, 2); - graph.addEdge(538, 135, 2); - graph.addEdge(538, 136, 2); - graph.addEdge(538, 248, 2); - graph.addEdge(538, 249, 2); - graph.addEdge(538, 360, 2); - graph.addEdge(538, 361, 2); - graph.addEdge(538, 256, 2); - graph.addEdge(538, 257, 2); - graph.addEdge(538, 111, 2); - graph.addEdge(538, 112, 2); - graph.addEdge(538, 162, 2); - graph.addEdge(538, 113, 2); - graph.addEdge(538, 265, 2); - graph.addEdge(538, 266, 2); - graph.addEdge(538, 267, 2); - graph.addEdge(538, 324, 2); - graph.addEdge(538, 325, 2); - graph.addEdge(538, 217, 2); - graph.addEdge(538, 218, 2); - graph.addEdge(538, 241, 2); - graph.addEdge(538, 242, 2); - graph.addEdge(538, 355, 2); - graph.addEdge(538, 356, 2); - graph.addEdge(538, 432, 2); - graph.addEdge(538, 219, 2); - graph.addEdge(538, 366, 2); - graph.addEdge(538, 367, 2); - graph.addEdge(538, 220, 2); - graph.addEdge(538, 368, 2); - graph.addEdge(538, 326, 2); - graph.addEdge(538, 134, 2); - graph.addEdge(538, 114, 2); - graph.addEdge(538, 215, 2); - graph.addEdge(538, 216, 2); - graph.addEdge(538, 364, 2); - graph.addEdge(538, 365, 2); - graph.addEdge(538, 459, 2); - graph.addEdge(538, 460, 2); - graph.addEdge(538, 165, 2); - graph.addEdge(538, 166, 2); - graph.addEdge(538, 274, 2); - graph.addEdge(538, 275, 2); - graph.addEdge(538, 371, 2); - graph.addEdge(538, 372, 2); - graph.addEdge(538, 461, 2); - graph.addEdge(538, 462, 2); - graph.addEdge(538, 501, 2); - graph.addEdge(538, 502, 2); - graph.addEdge(538, 440, 2); - graph.addEdge(538, 441, 2); - graph.addEdge(538, 518, 2); - graph.addEdge(538, 519, 2); - graph.addEdge(538, 251, 2); - graph.addEdge(538, 252, 2); - graph.addEdge(538, 253, 2); - graph.addEdge(538, 386, 2); - graph.addEdge(538, 520, 2); - graph.addEdge(538, 526, 2); - graph.addEdge(538, 527, 2); - graph.addEdge(538, 528, 2); - graph.addEdge(538, 529, 2); - graph.addEdge(538, 521, 2); - graph.addEdge(538, 522, 2); - graph.addEdge(538, 421, 2); - graph.addEdge(538, 442, 2); - graph.addEdge(538, 523, 2); - graph.addEdge(538, 373, 2); - graph.addEdge(538, 481, 2); - graph.addEdge(538, 374, 2); - graph.addEdge(538, 464, 2); - graph.addEdge(538, 465, 2); - graph.addEdge(538, 375, 2); - graph.addEdge(538, 484, 2); - graph.addEdge(538, 485, 2); - graph.addEdge(538, 376, 2); - graph.addEdge(538, 486, 2); - graph.addEdge(538, 487, 2); - graph.addEdge(538, 276, 2); - graph.addEdge(538, 377, 2); - graph.addEdge(538, 378, 2); - graph.addEdge(538, 488, 2); - graph.addEdge(538, 379, 2); - graph.addEdge(538, 503, 2); - graph.addEdge(538, 504, 2); - graph.addEdge(538, 512, 2); - graph.addEdge(538, 513, 2); - graph.addEdge(538, 209, 2); - graph.addEdge(538, 380, 2); - graph.addEdge(538, 475, 2); - graph.addEdge(538, 476, 2); - graph.addEdge(538, 381, 2); - graph.addEdge(538, 482, 2); - graph.addEdge(538, 483, 2); - graph.addEdge(538, 382, 2); - graph.addEdge(538, 505, 2); - graph.addEdge(538, 506, 2); - graph.addEdge(538, 277, 2); - graph.addEdge(538, 398, 2); - graph.addEdge(538, 399, 2); - graph.addEdge(538, 400, 2); - graph.addEdge(538, 167, 2); - graph.addEdge(538, 272, 2); - graph.addEdge(538, 273, 2); - graph.addEdge(538, 369, 2); - graph.addEdge(538, 370, 2); - graph.addEdge(538, 463, 2); - graph.addEdge(538, 168, 2); - graph.addEdge(538, 278, 2); - graph.addEdge(538, 279, 2); - graph.addEdge(538, 169, 2); - graph.addEdge(538, 282, 2); - graph.addEdge(538, 283, 2); - graph.addEdge(538, 170, 2); - graph.addEdge(538, 280, 2); - graph.addEdge(538, 281, 2); - graph.addEdge(538, 115, 2); - graph.addEdge(538, 171, 2); - graph.addEdge(538, 172, 2); - graph.addEdge(538, 259, 2); - graph.addEdge(538, 260, 2); - graph.addEdge(538, 261, 2); - graph.addEdge(538, 221, 2); - graph.addEdge(538, 262, 2); - graph.addEdge(538, 263, 2); - graph.addEdge(538, 258, 2); - graph.addEdge(538, 234, 2); - graph.addEdge(538, 235, 2); - graph.addEdge(538, 362, 2); - graph.addEdge(538, 453, 2); - graph.addEdge(538, 454, 2); - graph.addEdge(538, 123, 2); - graph.addEdge(538, 124, 2); - graph.addEdge(538, 229, 2); - graph.addEdge(538, 230, 2); - graph.addEdge(538, 353, 2); - graph.addEdge(538, 354, 2); - graph.addEdge(538, 125, 2); - graph.addEdge(538, 455, 2); - graph.addEdge(538, 456, 2); - graph.addEdge(538, 323, 2); - graph.addEdge(538, 457, 2); - graph.addEdge(538, 458, 2); - graph.addEdge(538, 363, 2); - graph.addEdge(538, 250, 2); - graph.addEdge(538, 357, 2); - graph.addEdge(538, 358, 2); - graph.addEdge(538, 443, 2); - graph.addEdge(538, 359, 2); - graph.addEdge(538, 433, 2); - graph.addEdge(538, 434, 2); - graph.addEdge(538, 435, 2); - graph.addEdge(538, 231, 2); - graph.addEdge(538, 232, 2); - graph.addEdge(538, 427, 2); - graph.addEdge(538, 428, 2); - graph.addEdge(538, 429, 2); - graph.addEdge(538, 233, 2); - graph.addEdge(538, 436, 2); - graph.addEdge(538, 437, 2); - graph.addEdge(538, 438, 2); - graph.addEdge(538, 210, 2); - graph.addEdge(538, 439, 2); - graph.addEdge(538, 137, 2); - graph.addEdge(538, 116, 2); - graph.addEdge(538, 117, 2); - graph.addEdge(538, 46, 2); - graph.addEdge(538, 47, 2); - graph.addEdge(538, 64, 2); - graph.addEdge(538, 65, 2); - graph.addEdge(538, 122, 2); - graph.addEdge(538, 66, 2); - graph.addEdge(538, 96, 2); - graph.addEdge(538, 97, 2); - graph.addEdge(538, 98, 2); - graph.addEdge(538, 99, 2); - graph.addEdge(538, 118, 2); - graph.addEdge(538, 147, 2); - graph.addEdge(538, 148, 2); - graph.addEdge(538, 268, 2); - graph.addEdge(538, 119, 2); - graph.addEdge(538, 225, 2); - graph.addEdge(538, 226, 2); - graph.addEdge(538, 411, 2); - graph.addEdge(538, 412, 2); - graph.addEdge(538, 516, 2); - graph.addEdge(538, 413, 2); - graph.addEdge(538, 414, 2); - graph.addEdge(538, 130, 2); - graph.addEdge(538, 227, 2); - graph.addEdge(538, 415, 2); - graph.addEdge(538, 143, 2); - graph.addEdge(538, 48, 2); - graph.addEdge(538, 49, 2); - graph.addEdge(538, 50, 2); - graph.addEdge(538, 179, 2); - graph.addEdge(538, 180, 2); - graph.addEdge(538, 292, 2); - graph.addEdge(538, 293, 2); - graph.addEdge(538, 294, 2); - graph.addEdge(538, 467, 2); - graph.addEdge(538, 468, 2); - graph.addEdge(538, 295, 2); - graph.addEdge(538, 452, 2); - graph.addEdge(538, 296, 2); - graph.addEdge(538, 466, 2); - graph.addEdge(538, 297, 2); - graph.addEdge(538, 451, 2); - graph.addEdge(538, 298, 2); - graph.addEdge(538, 447, 2); - graph.addEdge(538, 448, 2); - graph.addEdge(538, 449, 2); - graph.addEdge(538, 450, 2); - graph.addEdge(538, 181, 2); - graph.addEdge(538, 320, 2); - graph.addEdge(538, 182, 2); - graph.addEdge(538, 183, 2); - graph.addEdge(538, 289, 2); - graph.addEdge(538, 290, 2); - graph.addEdge(538, 89, 2); - graph.addEdge(538, 90, 2); - graph.addEdge(538, 91, 2); - graph.addEdge(538, 291, 2); - graph.addEdge(538, 126, 2); - graph.addEdge(538, 127, 2); - graph.addEdge(538, 202, 2); - graph.addEdge(538, 203, 2); - graph.addEdge(538, 307, 2); - graph.addEdge(538, 204, 2); - graph.addEdge(538, 205, 2); - graph.addEdge(538, 206, 2); - graph.addEdge(538, 383, 2); - graph.addEdge(538, 384, 2); - graph.addEdge(538, 385, 2); - graph.addEdge(538, 474, 2); - graph.addEdge(538, 207, 2); - graph.addEdge(538, 208, 2); - graph.addEdge(538, 308, 2); - graph.addEdge(538, 309, 2); - graph.addEdge(538, 403, 2); - graph.addEdge(538, 404, 2); - graph.addEdge(538, 405, 2); - graph.addEdge(538, 406, 2); - graph.addEdge(538, 310, 2); - graph.addEdge(538, 121, 2); - graph.addEdge(538, 311, 2); - graph.addEdge(538, 401, 2); - graph.addEdge(538, 402, 2); - graph.addEdge(538, 128, 2); - graph.addEdge(538, 173, 2); - graph.addEdge(538, 174, 2); - graph.addEdge(538, 163, 2); - graph.addEdge(538, 175, 2); - graph.addEdge(538, 305, 2); - graph.addEdge(538, 306, 2); - graph.addEdge(538, 391, 2); - graph.addEdge(538, 129, 2); - graph.addEdge(538, 131, 2); - graph.addEdge(538, 132, 2); - graph.addEdge(538, 133, 2); - graph.addEdge(538, 184, 2); - graph.addEdge(538, 302, 2); - graph.addEdge(538, 303, 2); - graph.addEdge(538, 304, 2); - graph.addEdge(538, 211, 2); - graph.addEdge(538, 212, 2); - graph.addEdge(538, 213, 2); - graph.addEdge(538, 332, 2); - graph.addEdge(538, 333, 2); - graph.addEdge(538, 334, 2); - graph.addEdge(538, 335, 2); - graph.addEdge(538, 397, 2); - graph.addEdge(538, 214, 2); - graph.addEdge(538, 185, 2); - graph.addEdge(538, 284, 2); - graph.addEdge(538, 285, 2); - graph.addEdge(538, 186, 2); - graph.addEdge(538, 322, 2); - graph.addEdge(538, 187, 2); - graph.addEdge(538, 286, 2); - graph.addEdge(538, 287, 2); - graph.addEdge(538, 288, 2); - graph.addEdge(538, 416, 2); - graph.addEdge(538, 417, 2); - graph.addEdge(538, 517, 2); - graph.addEdge(538, 418, 2); - graph.addEdge(538, 327, 2); - graph.addEdge(538, 188, 2); - graph.addEdge(538, 344, 2); - graph.addEdge(538, 345, 2); - graph.addEdge(538, 346, 2); - graph.addEdge(538, 236, 2); - graph.addEdge(538, 237, 2); - graph.addEdge(538, 238, 2); - graph.addEdge(538, 254, 2); - graph.addEdge(538, 255, 2); - graph.addEdge(538, 239, 2); - graph.addEdge(538, 240, 2); - graph.addEdge(538, 189, 2); - graph.addEdge(538, 312, 2); - graph.addEdge(538, 313, 2); - graph.addEdge(538, 159, 2); - graph.addEdge(538, 160, 2); - graph.addEdge(538, 161, 2); - graph.addEdge(538, 314, 2); - graph.addEdge(538, 315, 2); - graph.addEdge(538, 190, 2); - graph.addEdge(538, 107, 2); - graph.addEdge(538, 108, 2); - graph.addEdge(538, 109, 2); - graph.addEdge(538, 110, 2); - graph.addEdge(538, 191, 2); - graph.addEdge(538, 336, 2); - graph.addEdge(538, 337, 2); - graph.addEdge(538, 471, 2); - graph.addEdge(538, 472, 2); - graph.addEdge(538, 473, 2); - graph.addEdge(538, 338, 2); - graph.addEdge(538, 339, 2); - graph.addEdge(538, 489, 2); - graph.addEdge(538, 490, 2); - graph.addEdge(538, 491, 2); - graph.addEdge(538, 340, 2); - graph.addEdge(538, 422, 2); - graph.addEdge(538, 423, 2); - graph.addEdge(538, 424, 2); - graph.addEdge(538, 341, 2); - graph.addEdge(538, 494, 2); - graph.addEdge(538, 495, 2); - graph.addEdge(538, 496, 2); - graph.addEdge(538, 342, 2); - graph.addEdge(538, 343, 2); - graph.addEdge(538, 192, 2); - graph.addEdge(538, 321, 2); - graph.addEdge(538, 193, 2); - graph.addEdge(538, 347, 2); - graph.addEdge(538, 348, 2); - graph.addEdge(538, 469, 2); - graph.addEdge(538, 470, 2); - graph.addEdge(538, 508, 2); - graph.addEdge(538, 509, 2); - graph.addEdge(538, 349, 2); - graph.addEdge(538, 419, 2); - graph.addEdge(538, 420, 2); - graph.addEdge(538, 350, 2); - graph.addEdge(538, 497, 2); - graph.addEdge(538, 351, 2); - graph.addEdge(538, 425, 2); - graph.addEdge(538, 426, 2); - graph.addEdge(538, 352, 2); - graph.addEdge(538, 492, 2); - graph.addEdge(538, 493, 2); - graph.addEdge(538, 194, 2); - graph.addEdge(538, 316, 2); - graph.addEdge(538, 317, 2); - graph.addEdge(538, 392, 2); - graph.addEdge(538, 393, 2); - graph.addEdge(538, 318, 2); - graph.addEdge(538, 319, 2); - graph.addEdge(538, 195, 2); - graph.addEdge(538, 196, 2); - graph.addEdge(538, 197, 2); - graph.addEdge(538, 387, 2); - graph.addEdge(538, 388, 2); - graph.addEdge(538, 498, 2); - graph.addEdge(538, 499, 2); - graph.addEdge(538, 500, 2); - graph.addEdge(538, 389, 2); - graph.addEdge(538, 390, 2); - graph.addEdge(538, 198, 2); - graph.addEdge(538, 199, 2); - graph.addEdge(538, 328, 2); - graph.addEdge(538, 329, 2); - graph.addEdge(538, 394, 2); - graph.addEdge(538, 395, 2); - graph.addEdge(538, 396, 2); - graph.addEdge(538, 330, 2); - graph.addEdge(538, 331, 2); - graph.addEdge(538, 200, 2); - graph.addEdge(538, 201, 2); - graph.addEdge(538, 51, 2); - graph.addEdge(538, 102, 2); - graph.addEdge(538, 103, 2); - graph.addEdge(538, 104, 2); - graph.addEdge(538, 264, 2); - graph.addEdge(538, 105, 2); - graph.addEdge(538, 156, 2); - graph.addEdge(538, 157, 2); - graph.addEdge(538, 158, 2); - graph.addEdge(538, 271, 2); - graph.addEdge(538, 106, 2); - graph.addEdge(538, 52, 2); - graph.addEdge(538, 53, 2); - graph.addEdge(538, 54, 2); - graph.addEdge(538, 100, 2); - graph.addEdge(538, 101, 2); - graph.addEdge(538, 152, 2); - graph.addEdge(538, 153, 2); - graph.addEdge(538, 154, 2); - graph.addEdge(538, 155, 2); - graph.addEdge(538, 55, 2); - graph.addEdge(538, 56, 2); - graph.addEdge(540, 18, 2); - graph.addEdge(540, 19, 2); - graph.addEdge(540, 19, 4); - graph.addEdge(541, 33, 2); - graph.addEdge(541, 34, 2); - graph.addEdge(541, 48, 2); - graph.addEdge(541, 49, 2); - graph.addEdge(541, 221, 2); - graph.addEdge(541, 50, 2); - graph.addEdge(541, 179, 2); - graph.addEdge(541, 180, 2); - graph.addEdge(541, 292, 2); - graph.addEdge(541, 293, 2); - graph.addEdge(541, 377, 2); - graph.addEdge(541, 378, 2); - graph.addEdge(541, 488, 2); - graph.addEdge(541, 379, 2); - graph.addEdge(541, 503, 2); - graph.addEdge(541, 504, 2); - graph.addEdge(541, 512, 2); - graph.addEdge(541, 513, 2); - graph.addEdge(541, 209, 2); - graph.addEdge(541, 380, 2); - graph.addEdge(541, 475, 2); - graph.addEdge(541, 476, 2); - graph.addEdge(541, 381, 2); - graph.addEdge(541, 482, 2); - graph.addEdge(541, 483, 2); - graph.addEdge(541, 382, 2); - graph.addEdge(541, 505, 2); - graph.addEdge(541, 506, 2); - graph.addEdge(541, 294, 2); - graph.addEdge(541, 467, 2); - graph.addEdge(541, 468, 2); - graph.addEdge(541, 295, 2); - graph.addEdge(541, 452, 2); - graph.addEdge(541, 296, 2); - graph.addEdge(541, 466, 2); - graph.addEdge(541, 297, 2); - graph.addEdge(541, 451, 2); - graph.addEdge(541, 298, 2); - graph.addEdge(541, 447, 2); - graph.addEdge(541, 448, 2); - graph.addEdge(541, 449, 2); - graph.addEdge(541, 398, 2); - graph.addEdge(541, 399, 2); - graph.addEdge(541, 440, 2); - graph.addEdge(541, 441, 2); - graph.addEdge(541, 518, 2); - graph.addEdge(541, 519, 2); - graph.addEdge(541, 251, 2); - graph.addEdge(541, 252, 2); - graph.addEdge(541, 217, 2); - graph.addEdge(541, 218, 2); - graph.addEdge(541, 241, 2); - graph.addEdge(541, 242, 2); - graph.addEdge(541, 355, 2); - graph.addEdge(541, 356, 2); - graph.addEdge(541, 432, 2); - graph.addEdge(541, 219, 2); - graph.addEdge(541, 366, 2); - graph.addEdge(541, 367, 2); - graph.addEdge(541, 220, 2); - graph.addEdge(541, 368, 2); - graph.addEdge(541, 253, 2); - graph.addEdge(541, 386, 2); - graph.addEdge(541, 520, 2); - graph.addEdge(541, 526, 2); - graph.addEdge(541, 527, 2); - graph.addEdge(541, 528, 2); - graph.addEdge(541, 529, 2); - graph.addEdge(541, 521, 2); - graph.addEdge(541, 522, 2); - graph.addEdge(541, 421, 2); - graph.addEdge(541, 442, 2); - graph.addEdge(541, 523, 2); - graph.addEdge(541, 400, 2); - graph.addEdge(541, 450, 2); - graph.addEdge(541, 165, 2); - graph.addEdge(541, 166, 2); - graph.addEdge(541, 274, 2); - graph.addEdge(541, 275, 2); - graph.addEdge(541, 371, 2); - graph.addEdge(541, 372, 2); - graph.addEdge(541, 461, 2); - graph.addEdge(541, 462, 2); - graph.addEdge(541, 501, 2); - graph.addEdge(541, 502, 2); - graph.addEdge(541, 373, 2); - graph.addEdge(541, 481, 2); - graph.addEdge(541, 374, 2); - graph.addEdge(541, 464, 2); - graph.addEdge(541, 465, 2); - graph.addEdge(541, 375, 2); - graph.addEdge(541, 484, 2); - graph.addEdge(541, 485, 2); - graph.addEdge(541, 376, 2); - graph.addEdge(541, 486, 2); - graph.addEdge(541, 487, 2); - graph.addEdge(541, 276, 2); - graph.addEdge(541, 277, 2); - graph.addEdge(541, 167, 2); - graph.addEdge(541, 272, 2); - graph.addEdge(541, 273, 2); - graph.addEdge(541, 369, 2); - graph.addEdge(541, 370, 2); - graph.addEdge(541, 463, 2); - graph.addEdge(541, 168, 2); - graph.addEdge(541, 278, 2); - graph.addEdge(541, 279, 2); - graph.addEdge(541, 169, 2); - graph.addEdge(541, 282, 2); - graph.addEdge(541, 283, 2); - graph.addEdge(541, 170, 2); - graph.addEdge(541, 280, 2); - graph.addEdge(541, 281, 2); - graph.addEdge(541, 181, 2); - graph.addEdge(541, 320, 2); - graph.addEdge(541, 182, 2); - graph.addEdge(541, 123, 2); - graph.addEdge(541, 124, 2); - graph.addEdge(541, 229, 2); - graph.addEdge(541, 230, 2); - graph.addEdge(541, 353, 2); - graph.addEdge(541, 354, 2); - graph.addEdge(541, 125, 2); - graph.addEdge(541, 183, 2); - graph.addEdge(541, 289, 2); - graph.addEdge(541, 290, 2); - graph.addEdge(541, 89, 2); - graph.addEdge(541, 90, 2); - graph.addEdge(541, 91, 2); - graph.addEdge(541, 291, 2); - graph.addEdge(541, 126, 2); - graph.addEdge(541, 127, 2); - graph.addEdge(541, 202, 2); - graph.addEdge(541, 203, 2); - graph.addEdge(541, 307, 2); - graph.addEdge(541, 204, 2); - graph.addEdge(541, 231, 2); - graph.addEdge(541, 232, 2); - graph.addEdge(541, 427, 2); - graph.addEdge(541, 428, 2); - graph.addEdge(541, 429, 2); - graph.addEdge(541, 134, 2); - graph.addEdge(541, 233, 2); - graph.addEdge(541, 205, 2); - graph.addEdge(541, 162, 2); - graph.addEdge(541, 206, 2); - graph.addEdge(541, 383, 2); - graph.addEdge(541, 384, 2); - graph.addEdge(541, 385, 2); - graph.addEdge(541, 474, 2); - graph.addEdge(541, 207, 2); - graph.addEdge(541, 323, 2); - graph.addEdge(541, 208, 2); - graph.addEdge(541, 308, 2); - graph.addEdge(541, 309, 2); - graph.addEdge(541, 403, 2); - graph.addEdge(541, 404, 2); - graph.addEdge(541, 405, 2); - graph.addEdge(541, 210, 2); - graph.addEdge(541, 406, 2); - graph.addEdge(541, 310, 2); - graph.addEdge(541, 121, 2); - graph.addEdge(541, 311, 2); - graph.addEdge(541, 401, 2); - graph.addEdge(541, 402, 2); - graph.addEdge(541, 128, 2); - graph.addEdge(541, 173, 2); - graph.addEdge(541, 174, 2); - graph.addEdge(541, 163, 2); - graph.addEdge(541, 175, 2); - graph.addEdge(541, 305, 2); - graph.addEdge(541, 306, 2); - graph.addEdge(541, 391, 2); - graph.addEdge(541, 129, 2); - graph.addEdge(541, 131, 2); - graph.addEdge(541, 132, 2); - graph.addEdge(541, 133, 2); - graph.addEdge(541, 184, 2); - graph.addEdge(541, 302, 2); - graph.addEdge(541, 303, 2); - graph.addEdge(541, 304, 2); - graph.addEdge(541, 211, 2); - graph.addEdge(541, 212, 2); - graph.addEdge(541, 213, 2); - graph.addEdge(541, 332, 2); - graph.addEdge(541, 333, 2); - graph.addEdge(541, 334, 2); - graph.addEdge(541, 335, 2); - graph.addEdge(541, 397, 2); - graph.addEdge(541, 214, 2); - graph.addEdge(541, 185, 2); - graph.addEdge(541, 284, 2); - graph.addEdge(541, 285, 2); - graph.addEdge(541, 186, 2); - graph.addEdge(541, 322, 2); - graph.addEdge(541, 187, 2); - graph.addEdge(541, 286, 2); - graph.addEdge(541, 287, 2); - graph.addEdge(541, 288, 2); - graph.addEdge(541, 416, 2); - graph.addEdge(541, 417, 2); - graph.addEdge(541, 517, 2); - graph.addEdge(541, 418, 2); - graph.addEdge(541, 327, 2); - graph.addEdge(541, 188, 2); - graph.addEdge(541, 344, 2); - graph.addEdge(541, 345, 2); - graph.addEdge(541, 346, 2); - graph.addEdge(541, 236, 2); - graph.addEdge(541, 237, 2); - graph.addEdge(541, 122, 2); - graph.addEdge(541, 238, 2); - graph.addEdge(541, 254, 2); - graph.addEdge(541, 255, 2); - graph.addEdge(541, 239, 2); - graph.addEdge(541, 240, 2); - graph.addEdge(541, 189, 2); - graph.addEdge(541, 312, 2); - graph.addEdge(541, 313, 2); - graph.addEdge(541, 159, 2); - graph.addEdge(541, 160, 2); - graph.addEdge(541, 161, 2); - graph.addEdge(541, 314, 2); - graph.addEdge(541, 315, 2); - graph.addEdge(541, 190, 2); - graph.addEdge(541, 107, 2); - graph.addEdge(541, 108, 2); - graph.addEdge(541, 109, 2); - graph.addEdge(541, 110, 2); - graph.addEdge(541, 191, 2); - graph.addEdge(541, 336, 2); - graph.addEdge(541, 337, 2); - graph.addEdge(541, 471, 2); - graph.addEdge(541, 472, 2); - graph.addEdge(541, 473, 2); - graph.addEdge(541, 338, 2); - graph.addEdge(541, 339, 2); - graph.addEdge(541, 489, 2); - graph.addEdge(541, 490, 2); - graph.addEdge(541, 491, 2); - graph.addEdge(541, 340, 2); - graph.addEdge(541, 422, 2); - graph.addEdge(541, 423, 2); - graph.addEdge(541, 424, 2); - graph.addEdge(541, 341, 2); - graph.addEdge(541, 494, 2); - graph.addEdge(541, 495, 2); - graph.addEdge(541, 496, 2); - graph.addEdge(541, 342, 2); - graph.addEdge(541, 343, 2); - graph.addEdge(541, 192, 2); - graph.addEdge(541, 321, 2); - graph.addEdge(541, 193, 2); - graph.addEdge(541, 347, 2); - graph.addEdge(541, 348, 2); - graph.addEdge(541, 469, 2); - graph.addEdge(541, 470, 2); - graph.addEdge(541, 508, 2); - graph.addEdge(541, 509, 2); - graph.addEdge(541, 349, 2); - graph.addEdge(541, 419, 2); - graph.addEdge(541, 420, 2); - graph.addEdge(541, 350, 2); - graph.addEdge(541, 497, 2); - graph.addEdge(541, 351, 2); - graph.addEdge(541, 425, 2); - graph.addEdge(541, 426, 2); - graph.addEdge(541, 352, 2); - graph.addEdge(541, 492, 2); - graph.addEdge(541, 493, 2); - graph.addEdge(541, 194, 2); - graph.addEdge(541, 316, 2); - graph.addEdge(541, 317, 2); - graph.addEdge(541, 392, 2); - graph.addEdge(541, 393, 2); - graph.addEdge(541, 318, 2); - graph.addEdge(541, 319, 2); - graph.addEdge(541, 195, 2); - graph.addEdge(541, 196, 2); - graph.addEdge(541, 197, 2); - graph.addEdge(541, 387, 2); - graph.addEdge(541, 388, 2); - graph.addEdge(541, 498, 2); - graph.addEdge(541, 499, 2); - graph.addEdge(541, 500, 2); - graph.addEdge(541, 389, 2); - graph.addEdge(541, 390, 2); - graph.addEdge(541, 198, 2); - graph.addEdge(541, 199, 2); - graph.addEdge(541, 328, 2); - graph.addEdge(541, 329, 2); - graph.addEdge(541, 394, 2); - graph.addEdge(541, 395, 2); - graph.addEdge(541, 396, 2); - graph.addEdge(541, 330, 2); - graph.addEdge(541, 331, 2); - graph.addEdge(541, 200, 2); - graph.addEdge(541, 201, 2); - graph.addEdge(541, 51, 2); - graph.addEdge(541, 102, 2); - graph.addEdge(541, 103, 2); - graph.addEdge(541, 111, 2); - graph.addEdge(541, 112, 2); - graph.addEdge(541, 113, 2); - graph.addEdge(541, 265, 2); - graph.addEdge(541, 266, 2); - graph.addEdge(541, 267, 2); - graph.addEdge(541, 324, 2); - graph.addEdge(541, 325, 2); - graph.addEdge(541, 326, 2); - graph.addEdge(541, 114, 2); - graph.addEdge(541, 215, 2); - graph.addEdge(541, 216, 2); - graph.addEdge(541, 364, 2); - graph.addEdge(541, 365, 2); - graph.addEdge(541, 459, 2); - graph.addEdge(541, 460, 2); - graph.addEdge(541, 115, 2); - graph.addEdge(541, 171, 2); - graph.addEdge(541, 172, 2); - graph.addEdge(541, 259, 2); - graph.addEdge(541, 260, 2); - graph.addEdge(541, 261, 2); - graph.addEdge(541, 262, 2); - graph.addEdge(541, 263, 2); - graph.addEdge(541, 104, 2); - graph.addEdge(541, 264, 2); - graph.addEdge(541, 105, 2); - graph.addEdge(541, 156, 2); - graph.addEdge(541, 157, 2); - graph.addEdge(541, 256, 2); - graph.addEdge(541, 257, 2); - graph.addEdge(541, 258, 2); - graph.addEdge(541, 234, 2); - graph.addEdge(541, 235, 2); - graph.addEdge(541, 158, 2); - graph.addEdge(541, 271, 2); - graph.addEdge(541, 106, 2); - graph.addEdge(541, 52, 2); - graph.addEdge(541, 53, 2); - graph.addEdge(541, 54, 2); - graph.addEdge(541, 100, 2); - graph.addEdge(541, 101, 2); - graph.addEdge(541, 152, 2); - graph.addEdge(541, 153, 2); - graph.addEdge(541, 154, 2); - graph.addEdge(541, 155, 2); - graph.addEdge(541, 55, 2); - graph.addEdge(541, 116, 2); - graph.addEdge(541, 117, 2); - graph.addEdge(541, 46, 2); - graph.addEdge(541, 47, 2); - graph.addEdge(541, 64, 2); - graph.addEdge(541, 65, 2); - graph.addEdge(541, 66, 2); - graph.addEdge(541, 96, 2); - graph.addEdge(541, 97, 2); - graph.addEdge(541, 98, 2); - graph.addEdge(541, 99, 2); - graph.addEdge(541, 118, 2); - graph.addEdge(541, 147, 2); - graph.addEdge(541, 148, 2); - graph.addEdge(541, 268, 2); - graph.addEdge(541, 119, 2); - graph.addEdge(541, 225, 2); - graph.addEdge(541, 226, 2); - graph.addEdge(541, 411, 2); - graph.addEdge(541, 412, 2); - graph.addEdge(541, 516, 2); - graph.addEdge(541, 413, 2); - graph.addEdge(541, 414, 2); - graph.addEdge(541, 130, 2); - graph.addEdge(541, 227, 2); - graph.addEdge(541, 415, 2); - graph.addEdge(541, 56, 2); - graph.addEdge(541, 35, 2); - graph.addEdge(543, 24, 2); - graph.addEdge(543, 25, 2); - graph.addEdge(543, 25, 4); - graph.addEdge(544, 75, 2); - graph.addEdge(544, 76, 2); - graph.addEdge(544, 46, 2); - graph.addEdge(544, 47, 2); - graph.addEdge(544, 64, 2); - graph.addEdge(544, 65, 2); - graph.addEdge(544, 122, 2); - graph.addEdge(544, 66, 2); - graph.addEdge(544, 96, 2); - graph.addEdge(544, 97, 2); - graph.addEdge(544, 241, 2); - graph.addEdge(544, 242, 2); - graph.addEdge(544, 355, 2); - graph.addEdge(544, 356, 2); - graph.addEdge(544, 432, 2); - graph.addEdge(544, 98, 2); - graph.addEdge(544, 231, 2); - graph.addEdge(544, 232, 2); - graph.addEdge(544, 427, 2); - graph.addEdge(544, 428, 2); - graph.addEdge(544, 217, 2); - graph.addEdge(544, 218, 2); - graph.addEdge(544, 219, 2); - graph.addEdge(544, 366, 2); - graph.addEdge(544, 367, 2); - graph.addEdge(544, 220, 2); - graph.addEdge(544, 368, 2); - graph.addEdge(544, 429, 2); - graph.addEdge(544, 134, 2); - graph.addEdge(544, 233, 2); - graph.addEdge(544, 99, 2); - graph.addEdge(544, 162, 2); - graph.addEdge(544, 77, 2); - graph.addEdge(544, 149, 2); - graph.addEdge(544, 150, 2); - graph.addEdge(544, 271, 2); - graph.addEdge(544, 151, 2); - graph.addEdge(544, 269, 2); - graph.addEdge(544, 270, 2); - graph.addEdge(544, 430, 2); - graph.addEdge(544, 431, 2); - graph.addEdge(544, 477, 2); - graph.addEdge(544, 478, 2); - graph.addEdge(544, 510, 2); - graph.addEdge(544, 511, 2); - graph.addEdge(544, 525, 2); - graph.addEdge(544, 479, 2); - graph.addEdge(544, 386, 2); - graph.addEdge(544, 480, 2); - graph.addEdge(544, 324, 2); - graph.addEdge(544, 325, 2); - graph.addEdge(544, 326, 2); - graph.addEdge(546, 28, 2); - graph.addEdge(546, 29, 2); - graph.addEdge(546, 29, 4); - graph.addEdge(547, 144, 2); - graph.addEdge(547, 145, 2); - graph.addEdge(547, 149, 2); - graph.addEdge(547, 150, 2); - graph.addEdge(547, 271, 2); - graph.addEdge(547, 151, 2); - graph.addEdge(547, 269, 2); - graph.addEdge(547, 270, 2); - graph.addEdge(547, 430, 2); - graph.addEdge(547, 431, 2); - graph.addEdge(547, 477, 2); - graph.addEdge(547, 478, 2); - graph.addEdge(547, 510, 2); - graph.addEdge(547, 511, 2); - graph.addEdge(547, 525, 2); - graph.addEdge(547, 479, 2); - graph.addEdge(547, 386, 2); - graph.addEdge(547, 480, 2); - graph.addEdge(547, 324, 2); - graph.addEdge(547, 325, 2); - graph.addEdge(547, 217, 2); - graph.addEdge(547, 218, 2); - graph.addEdge(547, 241, 2); - graph.addEdge(547, 242, 2); - graph.addEdge(547, 355, 2); - graph.addEdge(547, 356, 2); - graph.addEdge(547, 432, 2); - graph.addEdge(547, 219, 2); - graph.addEdge(547, 366, 2); - graph.addEdge(547, 367, 2); - graph.addEdge(547, 220, 2); - graph.addEdge(547, 368, 2); - graph.addEdge(547, 326, 2); - graph.addEdge(547, 134, 2); - graph.addEdge(547, 146, 2); - graph.addEdge(547, 176, 2); - graph.addEdge(547, 177, 2); - graph.addEdge(547, 299, 2); - graph.addEdge(547, 300, 2); - graph.addEdge(547, 301, 2); - graph.addEdge(547, 444, 2); - graph.addEdge(547, 445, 2); - graph.addEdge(547, 524, 2); - graph.addEdge(547, 446, 2); - graph.addEdge(547, 178, 2); - graph.addEdge(547, 243, 2); - graph.addEdge(547, 244, 2); - graph.addEdge(547, 209, 2); - graph.addEdge(547, 245, 2); - graph.addEdge(547, 131, 2); - graph.addEdge(547, 132, 2); - graph.addEdge(547, 251, 2); - graph.addEdge(547, 252, 2); - graph.addEdge(547, 253, 2); - graph.addEdge(547, 133, 2); - graph.addEdge(547, 210, 2); - graph.addEdge(547, 246, 2); - graph.addEdge(547, 323, 2); - graph.addEdge(547, 247, 2); - graph.addEdge(549, 20, 2); - graph.addEdge(549, 21, 2); - graph.addEdge(549, 21, 4); - graph.addEdge(550, 36, 2); - graph.addEdge(550, 37, 2); - graph.addEdge(550, 176, 2); - graph.addEdge(550, 177, 2); - graph.addEdge(550, 299, 2); - graph.addEdge(550, 300, 2); - graph.addEdge(550, 269, 2); - graph.addEdge(550, 270, 2); - graph.addEdge(550, 430, 2); - graph.addEdge(550, 431, 2); - graph.addEdge(550, 477, 2); - graph.addEdge(550, 478, 2); - graph.addEdge(550, 510, 2); - graph.addEdge(550, 511, 2); - graph.addEdge(550, 525, 2); - graph.addEdge(550, 479, 2); - graph.addEdge(550, 386, 2); - graph.addEdge(550, 480, 2); - graph.addEdge(550, 324, 2); - graph.addEdge(550, 325, 2); - graph.addEdge(550, 217, 2); - graph.addEdge(550, 218, 2); - graph.addEdge(550, 241, 2); - graph.addEdge(550, 242, 2); - graph.addEdge(550, 355, 2); - graph.addEdge(550, 356, 2); - graph.addEdge(550, 432, 2); - graph.addEdge(550, 219, 2); - graph.addEdge(550, 366, 2); - graph.addEdge(550, 367, 2); - graph.addEdge(550, 220, 2); - graph.addEdge(550, 368, 2); - graph.addEdge(550, 326, 2); - graph.addEdge(550, 134, 2); - graph.addEdge(550, 301, 2); - graph.addEdge(550, 444, 2); - graph.addEdge(550, 445, 2); - graph.addEdge(550, 524, 2); - graph.addEdge(550, 446, 2); - graph.addEdge(550, 178, 2); - graph.addEdge(550, 243, 2); - graph.addEdge(550, 244, 2); - graph.addEdge(550, 209, 2); - graph.addEdge(550, 245, 2); - graph.addEdge(550, 131, 2); - graph.addEdge(550, 132, 2); - graph.addEdge(550, 251, 2); - graph.addEdge(550, 252, 2); - graph.addEdge(550, 253, 2); - graph.addEdge(550, 133, 2); - graph.addEdge(550, 210, 2); - graph.addEdge(550, 246, 2); - graph.addEdge(550, 323, 2); - graph.addEdge(550, 247, 2); - graph.addEdge(550, 38, 2); - graph.addEdge(550, 41, 2); - graph.addEdge(550, 42, 2); - graph.addEdge(550, 57, 2); - graph.addEdge(550, 58, 2); - graph.addEdge(550, 92, 2); - graph.addEdge(550, 93, 2); - graph.addEdge(550, 165, 2); - graph.addEdge(550, 166, 2); - graph.addEdge(550, 274, 2); - graph.addEdge(550, 275, 2); - graph.addEdge(550, 371, 2); - graph.addEdge(550, 372, 2); - graph.addEdge(550, 461, 2); - graph.addEdge(550, 462, 2); - graph.addEdge(550, 501, 2); - graph.addEdge(550, 502, 2); - graph.addEdge(550, 440, 2); - graph.addEdge(550, 441, 2); - graph.addEdge(550, 518, 2); - graph.addEdge(550, 519, 2); - graph.addEdge(550, 520, 2); - graph.addEdge(550, 526, 2); - graph.addEdge(550, 527, 2); - graph.addEdge(550, 528, 2); - graph.addEdge(550, 529, 2); - graph.addEdge(550, 521, 2); - graph.addEdge(550, 522, 2); - graph.addEdge(550, 421, 2); - graph.addEdge(550, 442, 2); - graph.addEdge(550, 523, 2); - graph.addEdge(550, 373, 2); - graph.addEdge(550, 481, 2); - graph.addEdge(550, 374, 2); - graph.addEdge(550, 464, 2); - graph.addEdge(550, 465, 2); - graph.addEdge(550, 375, 2); - graph.addEdge(550, 484, 2); - graph.addEdge(550, 485, 2); - graph.addEdge(550, 376, 2); - graph.addEdge(550, 486, 2); - graph.addEdge(550, 487, 2); - graph.addEdge(550, 276, 2); - graph.addEdge(550, 377, 2); - graph.addEdge(550, 378, 2); - graph.addEdge(550, 488, 2); - graph.addEdge(550, 379, 2); - graph.addEdge(550, 503, 2); - graph.addEdge(550, 504, 2); - graph.addEdge(550, 512, 2); - graph.addEdge(550, 513, 2); - graph.addEdge(550, 380, 2); - graph.addEdge(550, 475, 2); - graph.addEdge(550, 476, 2); - graph.addEdge(550, 381, 2); - graph.addEdge(550, 482, 2); - graph.addEdge(550, 483, 2); - graph.addEdge(550, 382, 2); - graph.addEdge(550, 505, 2); - graph.addEdge(550, 506, 2); - graph.addEdge(550, 277, 2); - graph.addEdge(550, 398, 2); - graph.addEdge(550, 399, 2); - graph.addEdge(550, 400, 2); - graph.addEdge(550, 167, 2); - graph.addEdge(550, 272, 2); - graph.addEdge(550, 273, 2); - graph.addEdge(550, 369, 2); - graph.addEdge(550, 370, 2); - graph.addEdge(550, 463, 2); - graph.addEdge(550, 168, 2); - graph.addEdge(550, 278, 2); - graph.addEdge(550, 279, 2); - graph.addEdge(550, 169, 2); - graph.addEdge(550, 282, 2); - graph.addEdge(550, 283, 2); - graph.addEdge(550, 170, 2); - graph.addEdge(550, 280, 2); - graph.addEdge(550, 281, 2); - graph.addEdge(550, 94, 2); - graph.addEdge(550, 164, 2); - graph.addEdge(550, 95, 2); - graph.addEdge(550, 228, 2); - graph.addEdge(550, 59, 2); - graph.addEdge(550, 223, 2); - graph.addEdge(550, 224, 2); - graph.addEdge(550, 407, 2); - graph.addEdge(550, 408, 2); - graph.addEdge(550, 507, 2); - graph.addEdge(550, 409, 2); - graph.addEdge(550, 515, 2); - graph.addEdge(550, 410, 2); - graph.addEdge(550, 514, 2); - graph.addEdge(550, 60, 2); - graph.addEdge(550, 222, 2); - graph.addEdge(550, 61, 2); - graph.addEdge(550, 221, 2); - graph.addEdge(550, 62, 2); - graph.addEdge(550, 121, 2); - graph.addEdge(550, 63, 2); - graph.addEdge(550, 120, 2); - graph.addEdge(550, 43, 2); - graph.addEdge(550, 64, 2); - graph.addEdge(550, 65, 2); - graph.addEdge(550, 122, 2); - graph.addEdge(550, 66, 2); - graph.addEdge(550, 96, 2); - graph.addEdge(550, 97, 2); - graph.addEdge(550, 98, 2); - graph.addEdge(550, 231, 2); - graph.addEdge(550, 232, 2); - graph.addEdge(550, 427, 2); - graph.addEdge(550, 428, 2); - graph.addEdge(550, 429, 2); - graph.addEdge(550, 233, 2); - graph.addEdge(550, 99, 2); - graph.addEdge(550, 162, 2); - graph.addEdge(550, 44, 2); - graph.addEdge(550, 85, 2); - graph.addEdge(550, 86, 2); - graph.addEdge(550, 130, 2); - graph.addEdge(550, 87, 2); - graph.addEdge(550, 147, 2); - graph.addEdge(550, 148, 2); - graph.addEdge(550, 268, 2); - graph.addEdge(550, 88, 2); - graph.addEdge(550, 225, 2); - graph.addEdge(550, 226, 2); - graph.addEdge(550, 411, 2); - graph.addEdge(550, 412, 2); - graph.addEdge(550, 516, 2); - graph.addEdge(550, 413, 2); - graph.addEdge(550, 353, 2); - graph.addEdge(550, 354, 2); - graph.addEdge(550, 414, 2); - graph.addEdge(550, 227, 2); - graph.addEdge(550, 415, 2); - graph.addEdge(550, 45, 2); - graph.addEdge(550, 67, 2); - graph.addEdge(550, 68, 2); - graph.addEdge(550, 69, 2); - graph.addEdge(551, 123, 1); - graph.addEdge(551, 123, 2); - graph.addEdge(551, 124, 2); - graph.addEdge(551, 229, 2); - graph.addEdge(551, 230, 2); - graph.addEdge(551, 353, 2); - graph.addEdge(551, 354, 2); - graph.addEdge(551, 440, 2); - graph.addEdge(551, 441, 2); - graph.addEdge(551, 518, 2); - graph.addEdge(551, 519, 2); - graph.addEdge(551, 251, 2); - graph.addEdge(551, 252, 2); - graph.addEdge(551, 217, 2); - graph.addEdge(551, 218, 2); - graph.addEdge(551, 241, 2); - graph.addEdge(551, 242, 2); - graph.addEdge(551, 355, 2); - graph.addEdge(551, 356, 2); - graph.addEdge(551, 432, 2); - graph.addEdge(551, 219, 2); - graph.addEdge(551, 366, 2); - graph.addEdge(551, 367, 2); - graph.addEdge(551, 220, 2); - graph.addEdge(551, 368, 2); - graph.addEdge(551, 253, 2); - graph.addEdge(551, 386, 2); - graph.addEdge(551, 520, 2); - graph.addEdge(551, 526, 2); - graph.addEdge(551, 527, 2); - graph.addEdge(551, 528, 2); - graph.addEdge(551, 529, 2); - graph.addEdge(551, 521, 2); - graph.addEdge(551, 522, 2); - graph.addEdge(551, 421, 2); - graph.addEdge(551, 442, 2); - graph.addEdge(551, 523, 2); - graph.addEdge(551, 125, 2); - graph.addEdge(551, 209, 2); - graph.addEdge(532, 551, 4); - graph.removeEdge(532, 123, 2); - graph.removeEdge(532, 124, 2); - graph.removeEdge(532, 229, 2); - graph.removeEdge(532, 230, 2); - graph.removeEdge(532, 353, 2); - graph.removeEdge(532, 354, 2); - graph.removeEdge(532, 440, 2); - graph.removeEdge(532, 441, 2); - graph.removeEdge(532, 518, 2); - graph.removeEdge(532, 519, 2); - graph.removeEdge(532, 251, 2); - graph.removeEdge(532, 252, 2); - graph.removeEdge(532, 217, 2); - graph.removeEdge(532, 218, 2); - graph.removeEdge(532, 241, 2); - graph.removeEdge(532, 242, 2); - graph.removeEdge(532, 355, 2); - graph.removeEdge(532, 356, 2); - graph.removeEdge(532, 432, 2); - graph.removeEdge(532, 219, 2); - graph.removeEdge(532, 366, 2); - graph.removeEdge(532, 367, 2); - graph.removeEdge(532, 220, 2); - graph.removeEdge(532, 368, 2); - graph.removeEdge(532, 253, 2); - graph.removeEdge(532, 386, 2); - graph.removeEdge(532, 520, 2); - graph.removeEdge(532, 526, 2); - graph.removeEdge(532, 527, 2); - graph.removeEdge(532, 528, 2); - graph.removeEdge(532, 529, 2); - graph.removeEdge(532, 521, 2); - graph.removeEdge(532, 522, 2); - graph.removeEdge(532, 421, 2); - graph.removeEdge(532, 442, 2); - graph.removeEdge(532, 523, 2); - graph.removeEdge(532, 125, 2); - graph.removeEdge(532, 209, 2); - graph.addEdge(535, 551, 4); - graph.removeEdge(535, 123, 2); - graph.removeEdge(535, 124, 2); - graph.removeEdge(535, 229, 2); - graph.removeEdge(535, 230, 2); - graph.removeEdge(535, 353, 2); - graph.removeEdge(535, 354, 2); - graph.removeEdge(535, 440, 2); - graph.removeEdge(535, 441, 2); - graph.removeEdge(535, 518, 2); - graph.removeEdge(535, 519, 2); - graph.removeEdge(535, 251, 2); - graph.removeEdge(535, 252, 2); - graph.removeEdge(535, 217, 2); - graph.removeEdge(535, 218, 2); - graph.removeEdge(535, 241, 2); - graph.removeEdge(535, 242, 2); - graph.removeEdge(535, 355, 2); - graph.removeEdge(535, 356, 2); - graph.removeEdge(535, 432, 2); - graph.removeEdge(535, 219, 2); - graph.removeEdge(535, 366, 2); - graph.removeEdge(535, 367, 2); - graph.removeEdge(535, 220, 2); - graph.removeEdge(535, 368, 2); - graph.removeEdge(535, 253, 2); - graph.removeEdge(535, 386, 2); - graph.removeEdge(535, 520, 2); - graph.removeEdge(535, 526, 2); - graph.removeEdge(535, 527, 2); - graph.removeEdge(535, 528, 2); - graph.removeEdge(535, 529, 2); - graph.removeEdge(535, 521, 2); - graph.removeEdge(535, 522, 2); - graph.removeEdge(535, 421, 2); - graph.removeEdge(535, 442, 2); - graph.removeEdge(535, 523, 2); - graph.removeEdge(535, 125, 2); - graph.removeEdge(535, 209, 2); - graph.addEdge(538, 551, 4); - graph.removeEdge(538, 123, 2); - graph.removeEdge(538, 124, 2); - graph.removeEdge(538, 229, 2); - graph.removeEdge(538, 230, 2); - graph.removeEdge(538, 353, 2); - graph.removeEdge(538, 354, 2); - graph.removeEdge(538, 440, 2); - graph.removeEdge(538, 441, 2); - graph.removeEdge(538, 518, 2); - graph.removeEdge(538, 519, 2); - graph.removeEdge(538, 251, 2); - graph.removeEdge(538, 252, 2); - graph.removeEdge(538, 217, 2); - graph.removeEdge(538, 218, 2); - graph.removeEdge(538, 241, 2); - graph.removeEdge(538, 242, 2); - graph.removeEdge(538, 355, 2); - graph.removeEdge(538, 356, 2); - graph.removeEdge(538, 432, 2); - graph.removeEdge(538, 219, 2); - graph.removeEdge(538, 366, 2); - graph.removeEdge(538, 367, 2); - graph.removeEdge(538, 220, 2); - graph.removeEdge(538, 368, 2); - graph.removeEdge(538, 253, 2); - graph.removeEdge(538, 386, 2); - graph.removeEdge(538, 520, 2); - graph.removeEdge(538, 526, 2); - graph.removeEdge(538, 527, 2); - graph.removeEdge(538, 528, 2); - graph.removeEdge(538, 529, 2); - graph.removeEdge(538, 521, 2); - graph.removeEdge(538, 522, 2); - graph.removeEdge(538, 421, 2); - graph.removeEdge(538, 442, 2); - graph.removeEdge(538, 523, 2); - graph.removeEdge(538, 125, 2); - graph.removeEdge(538, 209, 2); - graph.addEdge(541, 551, 4); - graph.removeEdge(541, 123, 2); - graph.removeEdge(541, 124, 2); - graph.removeEdge(541, 229, 2); - graph.removeEdge(541, 230, 2); - graph.removeEdge(541, 353, 2); - graph.removeEdge(541, 354, 2); - graph.removeEdge(541, 440, 2); - graph.removeEdge(541, 441, 2); - graph.removeEdge(541, 518, 2); - graph.removeEdge(541, 519, 2); - graph.removeEdge(541, 251, 2); - graph.removeEdge(541, 252, 2); - graph.removeEdge(541, 217, 2); - graph.removeEdge(541, 218, 2); - graph.removeEdge(541, 241, 2); - graph.removeEdge(541, 242, 2); - graph.removeEdge(541, 355, 2); - graph.removeEdge(541, 356, 2); - graph.removeEdge(541, 432, 2); - graph.removeEdge(541, 219, 2); - graph.removeEdge(541, 366, 2); - graph.removeEdge(541, 367, 2); - graph.removeEdge(541, 220, 2); - graph.removeEdge(541, 368, 2); - graph.removeEdge(541, 253, 2); - graph.removeEdge(541, 386, 2); - graph.removeEdge(541, 520, 2); - graph.removeEdge(541, 526, 2); - graph.removeEdge(541, 527, 2); - graph.removeEdge(541, 528, 2); - graph.removeEdge(541, 529, 2); - graph.removeEdge(541, 521, 2); - graph.removeEdge(541, 522, 2); - graph.removeEdge(541, 421, 2); - graph.removeEdge(541, 442, 2); - graph.removeEdge(541, 523, 2); - graph.removeEdge(541, 125, 2); - graph.removeEdge(541, 209, 2); - graph.addEdge(551, 89, 1); - graph.addEdge(551, 89, 2); - graph.addEdge(551, 90, 2); - graph.addEdge(551, 230, 2); - graph.addEdge(551, 356, 2); - graph.addEdge(551, 219, 2); - graph.addEdge(551, 367, 2); - graph.addEdge(551, 528, 2); - graph.addEdge(551, 91, 2); - graph.removeEdge(532, 89, 2); - graph.removeEdge(532, 90, 2); - graph.removeEdge(532, 91, 2); - graph.removeEdge(535, 89, 2); - graph.removeEdge(535, 90, 2); - graph.removeEdge(535, 91, 2); - graph.removeEdge(538, 89, 2); - graph.removeEdge(538, 90, 2); - graph.removeEdge(538, 91, 2); - graph.removeEdge(541, 89, 2); - graph.removeEdge(541, 90, 2); - graph.removeEdge(541, 91, 2); - graph.addEdge(551, 163, 1); - graph.addEdge(551, 163, 2); - graph.removeEdge(532, 163, 2); - graph.removeEdge(535, 163, 2); - graph.removeEdge(538, 163, 2); - graph.removeEdge(541, 163, 2); - graph.addEdge(551, 126, 1); - graph.addEdge(551, 126, 2); - graph.addEdge(551, 127, 2); - graph.addEdge(551, 202, 2); - graph.addEdge(551, 203, 2); - graph.addEdge(551, 307, 2); - graph.addEdge(551, 204, 2); - graph.addEdge(551, 231, 2); - graph.addEdge(551, 232, 2); - graph.addEdge(551, 427, 2); - graph.addEdge(551, 428, 2); - graph.addEdge(551, 429, 2); - graph.addEdge(551, 134, 2); - graph.addEdge(551, 233, 2); - graph.addEdge(551, 205, 2); - graph.addEdge(551, 162, 2); - graph.addEdge(551, 206, 2); - graph.addEdge(551, 383, 2); - graph.addEdge(551, 384, 2); - graph.addEdge(551, 385, 2); - graph.addEdge(551, 474, 2); - graph.addEdge(551, 207, 2); - graph.addEdge(551, 323, 2); - graph.addEdge(551, 208, 2); - graph.addEdge(551, 308, 2); - graph.addEdge(551, 309, 2); - graph.addEdge(551, 403, 2); - graph.addEdge(551, 404, 2); - graph.addEdge(551, 405, 2); - graph.addEdge(551, 210, 2); - graph.addEdge(551, 406, 2); - graph.addEdge(551, 310, 2); - graph.addEdge(551, 121, 2); - graph.addEdge(551, 311, 2); - graph.addEdge(551, 401, 2); - graph.addEdge(551, 402, 2); - graph.addEdge(551, 128, 2); - graph.addEdge(551, 173, 2); - graph.addEdge(551, 174, 2); - graph.addEdge(551, 175, 2); - graph.addEdge(551, 305, 2); - graph.addEdge(551, 306, 2); - graph.addEdge(551, 391, 2); - graph.addEdge(551, 129, 2); - graph.addEdge(551, 131, 2); - graph.addEdge(551, 132, 2); - graph.addEdge(551, 253, 2); - graph.addEdge(551, 133, 2); - graph.removeEdge(532, 126, 2); - graph.removeEdge(532, 127, 2); - graph.removeEdge(532, 202, 2); - graph.removeEdge(532, 203, 2); - graph.removeEdge(532, 307, 2); - graph.removeEdge(532, 204, 2); - graph.removeEdge(532, 231, 2); - graph.removeEdge(532, 232, 2); - graph.removeEdge(532, 427, 2); - graph.removeEdge(532, 428, 2); - graph.removeEdge(532, 429, 2); - graph.removeEdge(532, 134, 2); - graph.removeEdge(532, 233, 2); - graph.removeEdge(532, 205, 2); - graph.removeEdge(532, 162, 2); - graph.removeEdge(532, 206, 2); - graph.removeEdge(532, 383, 2); - graph.removeEdge(532, 384, 2); - graph.removeEdge(532, 385, 2); - graph.removeEdge(532, 474, 2); - graph.removeEdge(532, 207, 2); - graph.removeEdge(532, 323, 2); - graph.removeEdge(532, 208, 2); - graph.removeEdge(532, 308, 2); - graph.removeEdge(532, 309, 2); - graph.removeEdge(532, 403, 2); - graph.removeEdge(532, 404, 2); - graph.removeEdge(532, 405, 2); - graph.removeEdge(532, 210, 2); - graph.removeEdge(532, 406, 2); - graph.removeEdge(532, 310, 2); - graph.removeEdge(532, 121, 2); - graph.removeEdge(532, 311, 2); - graph.removeEdge(532, 401, 2); - graph.removeEdge(532, 402, 2); - graph.removeEdge(532, 128, 2); - graph.removeEdge(532, 173, 2); - graph.removeEdge(532, 174, 2); - graph.removeEdge(532, 175, 2); - graph.removeEdge(532, 305, 2); - graph.removeEdge(532, 306, 2); - graph.removeEdge(532, 391, 2); - graph.removeEdge(532, 129, 2); - graph.removeEdge(532, 131, 2); - graph.removeEdge(532, 132, 2); - graph.removeEdge(532, 133, 2); - graph.removeEdge(535, 126, 2); - graph.removeEdge(535, 127, 2); - graph.removeEdge(535, 202, 2); - graph.removeEdge(535, 203, 2); - graph.removeEdge(535, 307, 2); - graph.removeEdge(535, 204, 2); - graph.removeEdge(535, 231, 2); - graph.removeEdge(535, 232, 2); - graph.removeEdge(535, 427, 2); - graph.removeEdge(535, 428, 2); - graph.removeEdge(535, 429, 2); - graph.removeEdge(535, 134, 2); - graph.removeEdge(535, 233, 2); - graph.removeEdge(535, 205, 2); - graph.removeEdge(535, 162, 2); - graph.removeEdge(535, 206, 2); - graph.removeEdge(535, 383, 2); - graph.removeEdge(535, 384, 2); - graph.removeEdge(535, 385, 2); - graph.removeEdge(535, 474, 2); - graph.removeEdge(535, 207, 2); - graph.removeEdge(535, 323, 2); - graph.removeEdge(535, 208, 2); - graph.removeEdge(535, 308, 2); - graph.removeEdge(535, 309, 2); - graph.removeEdge(535, 403, 2); - graph.removeEdge(535, 404, 2); - graph.removeEdge(535, 405, 2); - graph.removeEdge(535, 210, 2); - graph.removeEdge(535, 406, 2); - graph.removeEdge(535, 310, 2); - graph.removeEdge(535, 121, 2); - graph.removeEdge(535, 311, 2); - graph.removeEdge(535, 401, 2); - graph.removeEdge(535, 402, 2); - graph.removeEdge(535, 128, 2); - graph.removeEdge(535, 173, 2); - graph.removeEdge(535, 174, 2); - graph.removeEdge(535, 175, 2); - graph.removeEdge(535, 305, 2); - graph.removeEdge(535, 306, 2); - graph.removeEdge(535, 391, 2); - graph.removeEdge(535, 129, 2); - graph.removeEdge(535, 131, 2); - graph.removeEdge(535, 132, 2); - graph.removeEdge(535, 133, 2); - graph.removeEdge(538, 126, 2); - graph.removeEdge(538, 127, 2); - graph.removeEdge(538, 202, 2); - graph.removeEdge(538, 203, 2); - graph.removeEdge(538, 307, 2); - graph.removeEdge(538, 204, 2); - graph.removeEdge(538, 231, 2); - graph.removeEdge(538, 232, 2); - graph.removeEdge(538, 427, 2); - graph.removeEdge(538, 428, 2); - graph.removeEdge(538, 429, 2); - graph.removeEdge(538, 134, 2); - graph.removeEdge(538, 233, 2); - graph.removeEdge(538, 205, 2); - graph.removeEdge(538, 162, 2); - graph.removeEdge(538, 206, 2); - graph.removeEdge(538, 383, 2); - graph.removeEdge(538, 384, 2); - graph.removeEdge(538, 385, 2); - graph.removeEdge(538, 474, 2); - graph.removeEdge(538, 207, 2); - graph.removeEdge(538, 323, 2); - graph.removeEdge(538, 208, 2); - graph.removeEdge(538, 308, 2); - graph.removeEdge(538, 309, 2); - graph.removeEdge(538, 403, 2); - graph.removeEdge(538, 404, 2); - graph.removeEdge(538, 405, 2); - graph.removeEdge(538, 210, 2); - graph.removeEdge(538, 406, 2); - graph.removeEdge(538, 310, 2); - graph.removeEdge(538, 121, 2); - graph.removeEdge(538, 311, 2); - graph.removeEdge(538, 401, 2); - graph.removeEdge(538, 402, 2); - graph.removeEdge(538, 128, 2); - graph.removeEdge(538, 173, 2); - graph.removeEdge(538, 174, 2); - graph.removeEdge(538, 175, 2); - graph.removeEdge(538, 305, 2); - graph.removeEdge(538, 306, 2); - graph.removeEdge(538, 391, 2); - graph.removeEdge(538, 129, 2); - graph.removeEdge(538, 131, 2); - graph.removeEdge(538, 132, 2); - graph.removeEdge(538, 133, 2); - graph.removeEdge(541, 126, 2); - graph.removeEdge(541, 127, 2); - graph.removeEdge(541, 202, 2); - graph.removeEdge(541, 203, 2); - graph.removeEdge(541, 307, 2); - graph.removeEdge(541, 204, 2); - graph.removeEdge(541, 231, 2); - graph.removeEdge(541, 232, 2); - graph.removeEdge(541, 427, 2); - graph.removeEdge(541, 428, 2); - graph.removeEdge(541, 429, 2); - graph.removeEdge(541, 134, 2); - graph.removeEdge(541, 233, 2); - graph.removeEdge(541, 205, 2); - graph.removeEdge(541, 162, 2); - graph.removeEdge(541, 206, 2); - graph.removeEdge(541, 383, 2); - graph.removeEdge(541, 384, 2); - graph.removeEdge(541, 385, 2); - graph.removeEdge(541, 474, 2); - graph.removeEdge(541, 207, 2); - graph.removeEdge(541, 323, 2); - graph.removeEdge(541, 208, 2); - graph.removeEdge(541, 308, 2); - graph.removeEdge(541, 309, 2); - graph.removeEdge(541, 403, 2); - graph.removeEdge(541, 404, 2); - graph.removeEdge(541, 405, 2); - graph.removeEdge(541, 210, 2); - graph.removeEdge(541, 406, 2); - graph.removeEdge(541, 310, 2); - graph.removeEdge(541, 121, 2); - graph.removeEdge(541, 311, 2); - graph.removeEdge(541, 401, 2); - graph.removeEdge(541, 402, 2); - graph.removeEdge(541, 128, 2); - graph.removeEdge(541, 173, 2); - graph.removeEdge(541, 174, 2); - graph.removeEdge(541, 175, 2); - graph.removeEdge(541, 305, 2); - graph.removeEdge(541, 306, 2); - graph.removeEdge(541, 391, 2); - graph.removeEdge(541, 129, 2); - graph.removeEdge(541, 131, 2); - graph.removeEdge(541, 132, 2); - graph.removeEdge(541, 133, 2); - graph.addEdge(551, 179, 1); - graph.addEdge(551, 179, 2); - graph.addEdge(551, 180, 2); - graph.addEdge(551, 292, 2); - graph.addEdge(551, 293, 2); - graph.addEdge(551, 377, 2); - graph.addEdge(551, 378, 2); - graph.addEdge(551, 488, 2); - graph.addEdge(551, 379, 2); - graph.addEdge(551, 503, 2); - graph.addEdge(551, 504, 2); - graph.addEdge(551, 512, 2); - graph.addEdge(551, 513, 2); - graph.addEdge(551, 380, 2); - graph.addEdge(551, 475, 2); - graph.addEdge(551, 476, 2); - graph.addEdge(551, 381, 2); - graph.addEdge(551, 482, 2); - graph.addEdge(551, 483, 2); - graph.addEdge(551, 382, 2); - graph.addEdge(551, 505, 2); - graph.addEdge(551, 506, 2); - graph.addEdge(551, 294, 2); - graph.addEdge(551, 467, 2); - graph.addEdge(551, 468, 2); - graph.addEdge(551, 295, 2); - graph.addEdge(551, 452, 2); - graph.addEdge(551, 296, 2); - graph.addEdge(551, 466, 2); - graph.addEdge(551, 297, 2); - graph.addEdge(551, 451, 2); - graph.addEdge(551, 298, 2); - graph.addEdge(551, 447, 2); - graph.addEdge(551, 448, 2); - graph.addEdge(551, 449, 2); - graph.addEdge(551, 398, 2); - graph.addEdge(551, 399, 2); - graph.addEdge(551, 518, 2); - graph.addEdge(551, 241, 2); - graph.addEdge(551, 366, 2); - graph.addEdge(551, 367, 2); - graph.addEdge(551, 368, 2); - graph.addEdge(551, 442, 2); - graph.addEdge(551, 400, 2); - graph.addEdge(551, 450, 2); - graph.addEdge(551, 165, 2); - graph.addEdge(551, 166, 2); - graph.addEdge(551, 274, 2); - graph.addEdge(551, 275, 2); - graph.addEdge(551, 371, 2); - graph.addEdge(551, 372, 2); - graph.addEdge(551, 461, 2); - graph.addEdge(551, 462, 2); - graph.addEdge(551, 501, 2); - graph.addEdge(551, 502, 2); - graph.addEdge(551, 373, 2); - graph.addEdge(551, 481, 2); - graph.addEdge(551, 374, 2); - graph.addEdge(551, 464, 2); - graph.addEdge(551, 465, 2); - graph.addEdge(551, 375, 2); - graph.addEdge(551, 484, 2); - graph.addEdge(551, 485, 2); - graph.addEdge(551, 376, 2); - graph.addEdge(551, 486, 2); - graph.addEdge(551, 487, 2); - graph.addEdge(551, 276, 2); - graph.addEdge(551, 277, 2); - graph.addEdge(551, 167, 2); - graph.addEdge(551, 272, 2); - graph.addEdge(551, 273, 2); - graph.addEdge(551, 369, 2); - graph.addEdge(551, 370, 2); - graph.addEdge(551, 463, 2); - graph.addEdge(551, 168, 2); - graph.addEdge(551, 278, 2); - graph.addEdge(551, 279, 2); - graph.addEdge(551, 169, 2); - graph.addEdge(551, 282, 2); - graph.addEdge(551, 283, 2); - graph.addEdge(551, 170, 2); - graph.addEdge(551, 280, 2); - graph.addEdge(551, 281, 2); - graph.addEdge(551, 181, 2); - graph.addEdge(551, 320, 2); - graph.addEdge(551, 182, 2); - graph.addEdge(551, 183, 2); - graph.addEdge(551, 289, 2); - graph.addEdge(551, 290, 2); - graph.addEdge(551, 291, 2); - graph.addEdge(551, 233, 2); - graph.addEdge(551, 205, 2); - graph.addEdge(551, 311, 2); - graph.addEdge(551, 402, 2); - graph.addEdge(551, 184, 2); - graph.addEdge(551, 302, 2); - graph.addEdge(551, 303, 2); - graph.addEdge(551, 304, 2); - graph.addEdge(551, 211, 2); - graph.addEdge(551, 212, 2); - graph.addEdge(551, 213, 2); - graph.addEdge(551, 332, 2); - graph.addEdge(551, 333, 2); - graph.addEdge(551, 334, 2); - graph.addEdge(551, 335, 2); - graph.addEdge(551, 397, 2); - graph.addEdge(551, 214, 2); - graph.addEdge(551, 185, 2); - graph.addEdge(551, 284, 2); - graph.addEdge(551, 285, 2); - graph.addEdge(551, 186, 2); - graph.addEdge(551, 322, 2); - graph.addEdge(551, 187, 2); - graph.addEdge(551, 286, 2); - graph.addEdge(551, 287, 2); - graph.addEdge(551, 288, 2); - graph.addEdge(551, 416, 2); - graph.addEdge(551, 417, 2); - graph.addEdge(551, 517, 2); - graph.addEdge(551, 418, 2); - graph.addEdge(551, 327, 2); - graph.addEdge(551, 188, 2); - graph.addEdge(551, 344, 2); - graph.addEdge(551, 345, 2); - graph.addEdge(551, 346, 2); - graph.addEdge(551, 236, 2); - graph.addEdge(551, 237, 2); - graph.addEdge(551, 122, 2); - graph.addEdge(551, 238, 2); - graph.addEdge(551, 254, 2); - graph.addEdge(551, 255, 2); - graph.addEdge(551, 239, 2); - graph.addEdge(551, 240, 2); - graph.addEdge(551, 189, 2); - graph.addEdge(551, 312, 2); - graph.addEdge(551, 313, 2); - graph.addEdge(551, 159, 2); - graph.addEdge(551, 160, 2); - graph.addEdge(551, 161, 2); - graph.addEdge(551, 314, 2); - graph.addEdge(551, 315, 2); - graph.addEdge(551, 190, 2); - graph.addEdge(551, 107, 2); - graph.addEdge(551, 108, 2); - graph.addEdge(551, 109, 2); - graph.addEdge(551, 110, 2); - graph.addEdge(551, 191, 2); - graph.addEdge(551, 336, 2); - graph.addEdge(551, 337, 2); - graph.addEdge(551, 471, 2); - graph.addEdge(551, 472, 2); - graph.addEdge(551, 473, 2); - graph.addEdge(551, 338, 2); - graph.addEdge(551, 339, 2); - graph.addEdge(551, 489, 2); - graph.addEdge(551, 490, 2); - graph.addEdge(551, 491, 2); - graph.addEdge(551, 340, 2); - graph.addEdge(551, 422, 2); - graph.addEdge(551, 423, 2); - graph.addEdge(551, 424, 2); - graph.addEdge(551, 341, 2); - graph.addEdge(551, 494, 2); - graph.addEdge(551, 495, 2); - graph.addEdge(551, 496, 2); - graph.addEdge(551, 342, 2); - graph.addEdge(551, 343, 2); - graph.addEdge(551, 192, 2); - graph.addEdge(551, 321, 2); - graph.addEdge(551, 193, 2); - graph.addEdge(551, 347, 2); - graph.addEdge(551, 348, 2); - graph.addEdge(551, 469, 2); - graph.addEdge(551, 470, 2); - graph.addEdge(551, 508, 2); - graph.addEdge(551, 509, 2); - graph.addEdge(551, 349, 2); - graph.addEdge(551, 419, 2); - graph.addEdge(551, 420, 2); - graph.addEdge(551, 350, 2); - graph.addEdge(551, 497, 2); - graph.addEdge(551, 351, 2); - graph.addEdge(551, 425, 2); - graph.addEdge(551, 426, 2); - graph.addEdge(551, 352, 2); - graph.addEdge(551, 492, 2); - graph.addEdge(551, 493, 2); - graph.addEdge(551, 194, 2); - graph.addEdge(551, 316, 2); - graph.addEdge(551, 317, 2); - graph.addEdge(551, 392, 2); - graph.addEdge(551, 393, 2); - graph.addEdge(551, 318, 2); - graph.addEdge(551, 319, 2); - graph.addEdge(551, 195, 2); - graph.addEdge(551, 196, 2); - graph.addEdge(551, 197, 2); - graph.addEdge(551, 387, 2); - graph.addEdge(551, 388, 2); - graph.addEdge(551, 498, 2); - graph.addEdge(551, 499, 2); - graph.addEdge(551, 500, 2); - graph.addEdge(551, 389, 2); - graph.addEdge(551, 390, 2); - graph.addEdge(551, 198, 2); - graph.addEdge(551, 199, 2); - graph.addEdge(551, 328, 2); - graph.addEdge(551, 329, 2); - graph.addEdge(551, 394, 2); - graph.addEdge(551, 395, 2); - graph.addEdge(551, 396, 2); - graph.addEdge(551, 330, 2); - graph.addEdge(551, 331, 2); - graph.addEdge(551, 200, 2); - graph.addEdge(551, 201, 2); - graph.removeEdge(532, 179, 2); - graph.removeEdge(532, 180, 2); - graph.removeEdge(532, 292, 2); - graph.removeEdge(532, 293, 2); - graph.removeEdge(532, 377, 2); - graph.removeEdge(532, 378, 2); - graph.removeEdge(532, 488, 2); - graph.removeEdge(532, 379, 2); - graph.removeEdge(532, 503, 2); - graph.removeEdge(532, 504, 2); - graph.removeEdge(532, 512, 2); - graph.removeEdge(532, 513, 2); - graph.removeEdge(532, 380, 2); - graph.removeEdge(532, 475, 2); - graph.removeEdge(532, 476, 2); - graph.removeEdge(532, 381, 2); - graph.removeEdge(532, 482, 2); - graph.removeEdge(532, 483, 2); - graph.removeEdge(532, 382, 2); - graph.removeEdge(532, 505, 2); - graph.removeEdge(532, 506, 2); - graph.removeEdge(532, 294, 2); - graph.removeEdge(532, 467, 2); - graph.removeEdge(532, 468, 2); - graph.removeEdge(532, 295, 2); - graph.removeEdge(532, 452, 2); - graph.removeEdge(532, 296, 2); - graph.removeEdge(532, 466, 2); - graph.removeEdge(532, 297, 2); - graph.removeEdge(532, 451, 2); - graph.removeEdge(532, 298, 2); - graph.removeEdge(532, 447, 2); - graph.removeEdge(532, 448, 2); - graph.removeEdge(532, 449, 2); - graph.removeEdge(532, 398, 2); - graph.removeEdge(532, 399, 2); - graph.removeEdge(532, 400, 2); - graph.removeEdge(532, 450, 2); - graph.removeEdge(532, 165, 2); - graph.removeEdge(532, 166, 2); - graph.removeEdge(532, 274, 2); - graph.removeEdge(532, 275, 2); - graph.removeEdge(532, 371, 2); - graph.removeEdge(532, 372, 2); - graph.removeEdge(532, 461, 2); - graph.removeEdge(532, 462, 2); - graph.removeEdge(532, 501, 2); - graph.removeEdge(532, 502, 2); - graph.removeEdge(532, 373, 2); - graph.removeEdge(532, 481, 2); - graph.removeEdge(532, 374, 2); - graph.removeEdge(532, 464, 2); - graph.removeEdge(532, 465, 2); - graph.removeEdge(532, 375, 2); - graph.removeEdge(532, 484, 2); - graph.removeEdge(532, 485, 2); - graph.removeEdge(532, 376, 2); - graph.removeEdge(532, 486, 2); - graph.removeEdge(532, 487, 2); - graph.removeEdge(532, 276, 2); - graph.removeEdge(532, 277, 2); - graph.removeEdge(532, 167, 2); - graph.removeEdge(532, 272, 2); - graph.removeEdge(532, 273, 2); - graph.removeEdge(532, 369, 2); - graph.removeEdge(532, 370, 2); - graph.removeEdge(532, 463, 2); - graph.removeEdge(532, 168, 2); - graph.removeEdge(532, 278, 2); - graph.removeEdge(532, 279, 2); - graph.removeEdge(532, 169, 2); - graph.removeEdge(532, 282, 2); - graph.removeEdge(532, 283, 2); - graph.removeEdge(532, 170, 2); - graph.removeEdge(532, 280, 2); - graph.removeEdge(532, 281, 2); - graph.removeEdge(532, 181, 2); - graph.removeEdge(532, 320, 2); - graph.removeEdge(532, 182, 2); - graph.removeEdge(532, 183, 2); - graph.removeEdge(532, 289, 2); - graph.removeEdge(532, 290, 2); - graph.removeEdge(532, 291, 2); - graph.removeEdge(532, 184, 2); - graph.removeEdge(532, 302, 2); - graph.removeEdge(532, 303, 2); - graph.removeEdge(532, 304, 2); - graph.removeEdge(532, 211, 2); - graph.removeEdge(532, 212, 2); - graph.removeEdge(532, 213, 2); - graph.removeEdge(532, 332, 2); - graph.removeEdge(532, 333, 2); - graph.removeEdge(532, 334, 2); - graph.removeEdge(532, 335, 2); - graph.removeEdge(532, 397, 2); - graph.removeEdge(532, 214, 2); - graph.removeEdge(532, 185, 2); - graph.removeEdge(532, 284, 2); - graph.removeEdge(532, 285, 2); - graph.removeEdge(532, 186, 2); - graph.removeEdge(532, 322, 2); - graph.removeEdge(532, 187, 2); - graph.removeEdge(532, 286, 2); - graph.removeEdge(532, 287, 2); - graph.removeEdge(532, 288, 2); - graph.removeEdge(532, 416, 2); - graph.removeEdge(532, 417, 2); - graph.removeEdge(532, 517, 2); - graph.removeEdge(532, 418, 2); - graph.removeEdge(532, 327, 2); - graph.removeEdge(532, 188, 2); - graph.removeEdge(532, 344, 2); - graph.removeEdge(532, 345, 2); - graph.removeEdge(532, 346, 2); - graph.removeEdge(532, 236, 2); - graph.removeEdge(532, 237, 2); - graph.removeEdge(532, 122, 2); - graph.removeEdge(532, 238, 2); - graph.removeEdge(532, 254, 2); - graph.removeEdge(532, 255, 2); - graph.removeEdge(532, 239, 2); - graph.removeEdge(532, 240, 2); - graph.removeEdge(532, 189, 2); - graph.removeEdge(532, 312, 2); - graph.removeEdge(532, 313, 2); - graph.removeEdge(532, 159, 2); - graph.removeEdge(532, 160, 2); - graph.removeEdge(532, 161, 2); - graph.removeEdge(532, 314, 2); - graph.removeEdge(532, 315, 2); - graph.removeEdge(532, 190, 2); - graph.removeEdge(532, 107, 2); - graph.removeEdge(532, 108, 2); - graph.removeEdge(532, 109, 2); - graph.removeEdge(532, 110, 2); - graph.removeEdge(532, 191, 2); - graph.removeEdge(532, 336, 2); - graph.removeEdge(532, 337, 2); - graph.removeEdge(532, 471, 2); - graph.removeEdge(532, 472, 2); - graph.removeEdge(532, 473, 2); - graph.removeEdge(532, 338, 2); - graph.removeEdge(532, 339, 2); - graph.removeEdge(532, 489, 2); - graph.removeEdge(532, 490, 2); - graph.removeEdge(532, 491, 2); - graph.removeEdge(532, 340, 2); - graph.removeEdge(532, 422, 2); - graph.removeEdge(532, 423, 2); - graph.removeEdge(532, 424, 2); - graph.removeEdge(532, 341, 2); - graph.removeEdge(532, 494, 2); - graph.removeEdge(532, 495, 2); - graph.removeEdge(532, 496, 2); - graph.removeEdge(532, 342, 2); - graph.removeEdge(532, 343, 2); - graph.removeEdge(532, 192, 2); - graph.removeEdge(532, 321, 2); - graph.removeEdge(532, 193, 2); - graph.removeEdge(532, 347, 2); - graph.removeEdge(532, 348, 2); - graph.removeEdge(532, 469, 2); - graph.removeEdge(532, 470, 2); - graph.removeEdge(532, 508, 2); - graph.removeEdge(532, 509, 2); - graph.removeEdge(532, 349, 2); - graph.removeEdge(532, 419, 2); - graph.removeEdge(532, 420, 2); - graph.removeEdge(532, 350, 2); - graph.removeEdge(532, 497, 2); - graph.removeEdge(532, 351, 2); - graph.removeEdge(532, 425, 2); - graph.removeEdge(532, 426, 2); - graph.removeEdge(532, 352, 2); - graph.removeEdge(532, 492, 2); - graph.removeEdge(532, 493, 2); - graph.removeEdge(532, 194, 2); - graph.removeEdge(532, 316, 2); - graph.removeEdge(532, 317, 2); - graph.removeEdge(532, 392, 2); - graph.removeEdge(532, 393, 2); - graph.removeEdge(532, 318, 2); - graph.removeEdge(532, 319, 2); - graph.removeEdge(532, 195, 2); - graph.removeEdge(532, 196, 2); - graph.removeEdge(532, 197, 2); - graph.removeEdge(532, 387, 2); - graph.removeEdge(532, 388, 2); - graph.removeEdge(532, 498, 2); - graph.removeEdge(532, 499, 2); - graph.removeEdge(532, 500, 2); - graph.removeEdge(532, 389, 2); - graph.removeEdge(532, 390, 2); - graph.removeEdge(532, 198, 2); - graph.removeEdge(532, 199, 2); - graph.removeEdge(532, 328, 2); - graph.removeEdge(532, 329, 2); - graph.removeEdge(532, 394, 2); - graph.removeEdge(532, 395, 2); - graph.removeEdge(532, 396, 2); - graph.removeEdge(532, 330, 2); - graph.removeEdge(532, 331, 2); - graph.removeEdge(532, 200, 2); - graph.removeEdge(532, 201, 2); - graph.removeEdge(535, 179, 2); - graph.removeEdge(535, 180, 2); - graph.removeEdge(535, 292, 2); - graph.removeEdge(535, 293, 2); - graph.removeEdge(535, 377, 2); - graph.removeEdge(535, 378, 2); - graph.removeEdge(535, 488, 2); - graph.removeEdge(535, 379, 2); - graph.removeEdge(535, 503, 2); - graph.removeEdge(535, 504, 2); - graph.removeEdge(535, 512, 2); - graph.removeEdge(535, 513, 2); - graph.removeEdge(535, 380, 2); - graph.removeEdge(535, 475, 2); - graph.removeEdge(535, 476, 2); - graph.removeEdge(535, 381, 2); - graph.removeEdge(535, 482, 2); - graph.removeEdge(535, 483, 2); - graph.removeEdge(535, 382, 2); - graph.removeEdge(535, 505, 2); - graph.removeEdge(535, 506, 2); - graph.removeEdge(535, 294, 2); - graph.removeEdge(535, 467, 2); - graph.removeEdge(535, 468, 2); - graph.removeEdge(535, 295, 2); - graph.removeEdge(535, 452, 2); - graph.removeEdge(535, 296, 2); - graph.removeEdge(535, 466, 2); - graph.removeEdge(535, 297, 2); - graph.removeEdge(535, 451, 2); - graph.removeEdge(535, 298, 2); - graph.removeEdge(535, 447, 2); - graph.removeEdge(535, 448, 2); - graph.removeEdge(535, 449, 2); - graph.removeEdge(535, 398, 2); - graph.removeEdge(535, 399, 2); - graph.removeEdge(535, 400, 2); - graph.removeEdge(535, 450, 2); - graph.removeEdge(535, 165, 2); - graph.removeEdge(535, 166, 2); - graph.removeEdge(535, 274, 2); - graph.removeEdge(535, 275, 2); - graph.removeEdge(535, 371, 2); - graph.removeEdge(535, 372, 2); - graph.removeEdge(535, 461, 2); - graph.removeEdge(535, 462, 2); - graph.removeEdge(535, 501, 2); - graph.removeEdge(535, 502, 2); - graph.removeEdge(535, 373, 2); - graph.removeEdge(535, 481, 2); - graph.removeEdge(535, 374, 2); - graph.removeEdge(535, 464, 2); - graph.removeEdge(535, 465, 2); - graph.removeEdge(535, 375, 2); - graph.removeEdge(535, 484, 2); - graph.removeEdge(535, 485, 2); - graph.removeEdge(535, 376, 2); - graph.removeEdge(535, 486, 2); - graph.removeEdge(535, 487, 2); - graph.removeEdge(535, 276, 2); - graph.removeEdge(535, 277, 2); - graph.removeEdge(535, 167, 2); - graph.removeEdge(535, 272, 2); - graph.removeEdge(535, 273, 2); - graph.removeEdge(535, 369, 2); - graph.removeEdge(535, 370, 2); - graph.removeEdge(535, 463, 2); - graph.removeEdge(535, 168, 2); - graph.removeEdge(535, 278, 2); - graph.removeEdge(535, 279, 2); - graph.removeEdge(535, 169, 2); - graph.removeEdge(535, 282, 2); - graph.removeEdge(535, 283, 2); - graph.removeEdge(535, 170, 2); - graph.removeEdge(535, 280, 2); - graph.removeEdge(535, 281, 2); - graph.removeEdge(535, 181, 2); - graph.removeEdge(535, 320, 2); - graph.removeEdge(535, 182, 2); - graph.removeEdge(535, 183, 2); - graph.removeEdge(535, 289, 2); - graph.removeEdge(535, 290, 2); - graph.removeEdge(535, 291, 2); - graph.removeEdge(535, 184, 2); - graph.removeEdge(535, 302, 2); - graph.removeEdge(535, 303, 2); - graph.removeEdge(535, 304, 2); - graph.removeEdge(535, 211, 2); - graph.removeEdge(535, 212, 2); - graph.removeEdge(535, 213, 2); - graph.removeEdge(535, 332, 2); - graph.removeEdge(535, 333, 2); - graph.removeEdge(535, 334, 2); - graph.removeEdge(535, 335, 2); - graph.removeEdge(535, 397, 2); - graph.removeEdge(535, 214, 2); - graph.removeEdge(535, 185, 2); - graph.removeEdge(535, 284, 2); - graph.removeEdge(535, 285, 2); - graph.removeEdge(535, 186, 2); - graph.removeEdge(535, 322, 2); - graph.removeEdge(535, 187, 2); - graph.removeEdge(535, 286, 2); - graph.removeEdge(535, 287, 2); - graph.removeEdge(535, 288, 2); - graph.removeEdge(535, 416, 2); - graph.removeEdge(535, 417, 2); - graph.removeEdge(535, 517, 2); - graph.removeEdge(535, 418, 2); - graph.removeEdge(535, 327, 2); - graph.removeEdge(535, 188, 2); - graph.removeEdge(535, 344, 2); - graph.removeEdge(535, 345, 2); - graph.removeEdge(535, 346, 2); - graph.removeEdge(535, 236, 2); - graph.removeEdge(535, 237, 2); - graph.removeEdge(535, 122, 2); - graph.removeEdge(535, 238, 2); - graph.removeEdge(535, 254, 2); - graph.removeEdge(535, 255, 2); - graph.removeEdge(535, 239, 2); - graph.removeEdge(535, 240, 2); - graph.removeEdge(535, 189, 2); - graph.removeEdge(535, 312, 2); - graph.removeEdge(535, 313, 2); - graph.removeEdge(535, 159, 2); - graph.removeEdge(535, 160, 2); - graph.removeEdge(535, 161, 2); - graph.removeEdge(535, 314, 2); - graph.removeEdge(535, 315, 2); - graph.removeEdge(535, 190, 2); - graph.removeEdge(535, 107, 2); - graph.removeEdge(535, 108, 2); - graph.removeEdge(535, 109, 2); - graph.removeEdge(535, 110, 2); - graph.removeEdge(535, 191, 2); - graph.removeEdge(535, 336, 2); - graph.removeEdge(535, 337, 2); - graph.removeEdge(535, 471, 2); - graph.removeEdge(535, 472, 2); - graph.removeEdge(535, 473, 2); - graph.removeEdge(535, 338, 2); - graph.removeEdge(535, 339, 2); - graph.removeEdge(535, 489, 2); - graph.removeEdge(535, 490, 2); - graph.removeEdge(535, 491, 2); - graph.removeEdge(535, 340, 2); - graph.removeEdge(535, 422, 2); - graph.removeEdge(535, 423, 2); - graph.removeEdge(535, 424, 2); - graph.removeEdge(535, 341, 2); - graph.removeEdge(535, 494, 2); - graph.removeEdge(535, 495, 2); - graph.removeEdge(535, 496, 2); - graph.removeEdge(535, 342, 2); - graph.removeEdge(535, 343, 2); - graph.removeEdge(535, 192, 2); - graph.removeEdge(535, 321, 2); - graph.removeEdge(535, 193, 2); - graph.removeEdge(535, 347, 2); - graph.removeEdge(535, 348, 2); - graph.removeEdge(535, 469, 2); - graph.removeEdge(535, 470, 2); - graph.removeEdge(535, 508, 2); - graph.removeEdge(535, 509, 2); - graph.removeEdge(535, 349, 2); - graph.removeEdge(535, 419, 2); - graph.removeEdge(535, 420, 2); - graph.removeEdge(535, 350, 2); - graph.removeEdge(535, 497, 2); - graph.removeEdge(535, 351, 2); - graph.removeEdge(535, 425, 2); - graph.removeEdge(535, 426, 2); - graph.removeEdge(535, 352, 2); - graph.removeEdge(535, 492, 2); - graph.removeEdge(535, 493, 2); - graph.removeEdge(535, 194, 2); - graph.removeEdge(535, 316, 2); - graph.removeEdge(535, 317, 2); - graph.removeEdge(535, 392, 2); - graph.removeEdge(535, 393, 2); - graph.removeEdge(535, 318, 2); - graph.removeEdge(535, 319, 2); - graph.removeEdge(535, 195, 2); - graph.removeEdge(535, 196, 2); - graph.removeEdge(535, 197, 2); - graph.removeEdge(535, 387, 2); - graph.removeEdge(535, 388, 2); - graph.removeEdge(535, 498, 2); - graph.removeEdge(535, 499, 2); - graph.removeEdge(535, 500, 2); - graph.removeEdge(535, 389, 2); - graph.removeEdge(535, 390, 2); - graph.removeEdge(535, 198, 2); - graph.removeEdge(535, 199, 2); - graph.removeEdge(535, 328, 2); - graph.removeEdge(535, 329, 2); - graph.removeEdge(535, 394, 2); - graph.removeEdge(535, 395, 2); - graph.removeEdge(535, 396, 2); - graph.removeEdge(535, 330, 2); - graph.removeEdge(535, 331, 2); - graph.removeEdge(535, 200, 2); - graph.removeEdge(535, 201, 2); - graph.removeEdge(538, 179, 2); - graph.removeEdge(538, 180, 2); - graph.removeEdge(538, 292, 2); - graph.removeEdge(538, 293, 2); - graph.removeEdge(538, 377, 2); - graph.removeEdge(538, 378, 2); - graph.removeEdge(538, 488, 2); - graph.removeEdge(538, 379, 2); - graph.removeEdge(538, 503, 2); - graph.removeEdge(538, 504, 2); - graph.removeEdge(538, 512, 2); - graph.removeEdge(538, 513, 2); - graph.removeEdge(538, 380, 2); - graph.removeEdge(538, 475, 2); - graph.removeEdge(538, 476, 2); - graph.removeEdge(538, 381, 2); - graph.removeEdge(538, 482, 2); - graph.removeEdge(538, 483, 2); - graph.removeEdge(538, 382, 2); - graph.removeEdge(538, 505, 2); - graph.removeEdge(538, 506, 2); - graph.removeEdge(538, 294, 2); - graph.removeEdge(538, 467, 2); - graph.removeEdge(538, 468, 2); - graph.removeEdge(538, 295, 2); - graph.removeEdge(538, 452, 2); - graph.removeEdge(538, 296, 2); - graph.removeEdge(538, 466, 2); - graph.removeEdge(538, 297, 2); - graph.removeEdge(538, 451, 2); - graph.removeEdge(538, 298, 2); - graph.removeEdge(538, 447, 2); - graph.removeEdge(538, 448, 2); - graph.removeEdge(538, 449, 2); - graph.removeEdge(538, 398, 2); - graph.removeEdge(538, 399, 2); - graph.removeEdge(538, 400, 2); - graph.removeEdge(538, 450, 2); - graph.removeEdge(538, 165, 2); - graph.removeEdge(538, 166, 2); - graph.removeEdge(538, 274, 2); - graph.removeEdge(538, 275, 2); - graph.removeEdge(538, 371, 2); - graph.removeEdge(538, 372, 2); - graph.removeEdge(538, 461, 2); - graph.removeEdge(538, 462, 2); - graph.removeEdge(538, 501, 2); - graph.removeEdge(538, 502, 2); - graph.removeEdge(538, 373, 2); - graph.removeEdge(538, 481, 2); - graph.removeEdge(538, 374, 2); - graph.removeEdge(538, 464, 2); - graph.removeEdge(538, 465, 2); - graph.removeEdge(538, 375, 2); - graph.removeEdge(538, 484, 2); - graph.removeEdge(538, 485, 2); - graph.removeEdge(538, 376, 2); - graph.removeEdge(538, 486, 2); - graph.removeEdge(538, 487, 2); - graph.removeEdge(538, 276, 2); - graph.removeEdge(538, 277, 2); - graph.removeEdge(538, 167, 2); - graph.removeEdge(538, 272, 2); - graph.removeEdge(538, 273, 2); - graph.removeEdge(538, 369, 2); - graph.removeEdge(538, 370, 2); - graph.removeEdge(538, 463, 2); - graph.removeEdge(538, 168, 2); - graph.removeEdge(538, 278, 2); - graph.removeEdge(538, 279, 2); - graph.removeEdge(538, 169, 2); - graph.removeEdge(538, 282, 2); - graph.removeEdge(538, 283, 2); - graph.removeEdge(538, 170, 2); - graph.removeEdge(538, 280, 2); - graph.removeEdge(538, 281, 2); - graph.removeEdge(538, 181, 2); - graph.removeEdge(538, 320, 2); - graph.removeEdge(538, 182, 2); - graph.removeEdge(538, 183, 2); - graph.removeEdge(538, 289, 2); - graph.removeEdge(538, 290, 2); - graph.removeEdge(538, 291, 2); - graph.removeEdge(538, 184, 2); - graph.removeEdge(538, 302, 2); - graph.removeEdge(538, 303, 2); - graph.removeEdge(538, 304, 2); - graph.removeEdge(538, 211, 2); - graph.removeEdge(538, 212, 2); - graph.removeEdge(538, 213, 2); - graph.removeEdge(538, 332, 2); - graph.removeEdge(538, 333, 2); - graph.removeEdge(538, 334, 2); - graph.removeEdge(538, 335, 2); - graph.removeEdge(538, 397, 2); - graph.removeEdge(538, 214, 2); - graph.removeEdge(538, 185, 2); - graph.removeEdge(538, 284, 2); - graph.removeEdge(538, 285, 2); - graph.removeEdge(538, 186, 2); - graph.removeEdge(538, 322, 2); - graph.removeEdge(538, 187, 2); - graph.removeEdge(538, 286, 2); - graph.removeEdge(538, 287, 2); - graph.removeEdge(538, 288, 2); - graph.removeEdge(538, 416, 2); - graph.removeEdge(538, 417, 2); - graph.removeEdge(538, 517, 2); - graph.removeEdge(538, 418, 2); - graph.removeEdge(538, 327, 2); - graph.removeEdge(538, 188, 2); - graph.removeEdge(538, 344, 2); - graph.removeEdge(538, 345, 2); - graph.removeEdge(538, 346, 2); - graph.removeEdge(538, 236, 2); - graph.removeEdge(538, 237, 2); - graph.removeEdge(538, 122, 2); - graph.removeEdge(538, 238, 2); - graph.removeEdge(538, 254, 2); - graph.removeEdge(538, 255, 2); - graph.removeEdge(538, 239, 2); - graph.removeEdge(538, 240, 2); - graph.removeEdge(538, 189, 2); - graph.removeEdge(538, 312, 2); - graph.removeEdge(538, 313, 2); - graph.removeEdge(538, 159, 2); - graph.removeEdge(538, 160, 2); - graph.removeEdge(538, 161, 2); - graph.removeEdge(538, 314, 2); - graph.removeEdge(538, 315, 2); - graph.removeEdge(538, 190, 2); - graph.removeEdge(538, 107, 2); - graph.removeEdge(538, 108, 2); - graph.removeEdge(538, 109, 2); - graph.removeEdge(538, 110, 2); - graph.removeEdge(538, 191, 2); - graph.removeEdge(538, 336, 2); - graph.removeEdge(538, 337, 2); - graph.removeEdge(538, 471, 2); - graph.removeEdge(538, 472, 2); - graph.removeEdge(538, 473, 2); - graph.removeEdge(538, 338, 2); - graph.removeEdge(538, 339, 2); - graph.removeEdge(538, 489, 2); - graph.removeEdge(538, 490, 2); - graph.removeEdge(538, 491, 2); - graph.removeEdge(538, 340, 2); - graph.removeEdge(538, 422, 2); - graph.removeEdge(538, 423, 2); - graph.removeEdge(538, 424, 2); - graph.removeEdge(538, 341, 2); - graph.removeEdge(538, 494, 2); - graph.removeEdge(538, 495, 2); - graph.removeEdge(538, 496, 2); - graph.removeEdge(538, 342, 2); - graph.removeEdge(538, 343, 2); - graph.removeEdge(538, 192, 2); - graph.removeEdge(538, 321, 2); - graph.removeEdge(538, 193, 2); - graph.removeEdge(538, 347, 2); - graph.removeEdge(538, 348, 2); - graph.removeEdge(538, 469, 2); - graph.removeEdge(538, 470, 2); - graph.removeEdge(538, 508, 2); - graph.removeEdge(538, 509, 2); - graph.removeEdge(538, 349, 2); - graph.removeEdge(538, 419, 2); - graph.removeEdge(538, 420, 2); - graph.removeEdge(538, 350, 2); - graph.removeEdge(538, 497, 2); - graph.removeEdge(538, 351, 2); - graph.removeEdge(538, 425, 2); - graph.removeEdge(538, 426, 2); - graph.removeEdge(538, 352, 2); - graph.removeEdge(538, 492, 2); - graph.removeEdge(538, 493, 2); - graph.removeEdge(538, 194, 2); - graph.removeEdge(538, 316, 2); - graph.removeEdge(538, 317, 2); - graph.removeEdge(538, 392, 2); - graph.removeEdge(538, 393, 2); - graph.removeEdge(538, 318, 2); - graph.removeEdge(538, 319, 2); - graph.removeEdge(538, 195, 2); - graph.removeEdge(538, 196, 2); - graph.removeEdge(538, 197, 2); - graph.removeEdge(538, 387, 2); - graph.removeEdge(538, 388, 2); - graph.removeEdge(538, 498, 2); - graph.removeEdge(538, 499, 2); - graph.removeEdge(538, 500, 2); - graph.removeEdge(538, 389, 2); - graph.removeEdge(538, 390, 2); - graph.removeEdge(538, 198, 2); - graph.removeEdge(538, 199, 2); - graph.removeEdge(538, 328, 2); - graph.removeEdge(538, 329, 2); - graph.removeEdge(538, 394, 2); - graph.removeEdge(538, 395, 2); - graph.removeEdge(538, 396, 2); - graph.removeEdge(538, 330, 2); - graph.removeEdge(538, 331, 2); - graph.removeEdge(538, 200, 2); - graph.removeEdge(538, 201, 2); - graph.removeEdge(541, 179, 2); - graph.removeEdge(541, 180, 2); - graph.removeEdge(541, 292, 2); - graph.removeEdge(541, 293, 2); - graph.removeEdge(541, 377, 2); - graph.removeEdge(541, 378, 2); - graph.removeEdge(541, 488, 2); - graph.removeEdge(541, 379, 2); - graph.removeEdge(541, 503, 2); - graph.removeEdge(541, 504, 2); - graph.removeEdge(541, 512, 2); - graph.removeEdge(541, 513, 2); - graph.removeEdge(541, 380, 2); - graph.removeEdge(541, 475, 2); - graph.removeEdge(541, 476, 2); - graph.removeEdge(541, 381, 2); - graph.removeEdge(541, 482, 2); - graph.removeEdge(541, 483, 2); - graph.removeEdge(541, 382, 2); - graph.removeEdge(541, 505, 2); - graph.removeEdge(541, 506, 2); - graph.removeEdge(541, 294, 2); - graph.removeEdge(541, 467, 2); - graph.removeEdge(541, 468, 2); - graph.removeEdge(541, 295, 2); - graph.removeEdge(541, 452, 2); - graph.removeEdge(541, 296, 2); - graph.removeEdge(541, 466, 2); - graph.removeEdge(541, 297, 2); - graph.removeEdge(541, 451, 2); - graph.removeEdge(541, 298, 2); - graph.removeEdge(541, 447, 2); - graph.removeEdge(541, 448, 2); - graph.removeEdge(541, 449, 2); - graph.removeEdge(541, 398, 2); - graph.removeEdge(541, 399, 2); - graph.removeEdge(541, 400, 2); - graph.removeEdge(541, 450, 2); - graph.removeEdge(541, 165, 2); - graph.removeEdge(541, 166, 2); - graph.removeEdge(541, 274, 2); - graph.removeEdge(541, 275, 2); - graph.removeEdge(541, 371, 2); - graph.removeEdge(541, 372, 2); - graph.removeEdge(541, 461, 2); - graph.removeEdge(541, 462, 2); - graph.removeEdge(541, 501, 2); - graph.removeEdge(541, 502, 2); - graph.removeEdge(541, 373, 2); - graph.removeEdge(541, 481, 2); - graph.removeEdge(541, 374, 2); - graph.removeEdge(541, 464, 2); - graph.removeEdge(541, 465, 2); - graph.removeEdge(541, 375, 2); - graph.removeEdge(541, 484, 2); - graph.removeEdge(541, 485, 2); - graph.removeEdge(541, 376, 2); - graph.removeEdge(541, 486, 2); - graph.removeEdge(541, 487, 2); - graph.removeEdge(541, 276, 2); - graph.removeEdge(541, 277, 2); - graph.removeEdge(541, 167, 2); - graph.removeEdge(541, 272, 2); - graph.removeEdge(541, 273, 2); - graph.removeEdge(541, 369, 2); - graph.removeEdge(541, 370, 2); - graph.removeEdge(541, 463, 2); - graph.removeEdge(541, 168, 2); - graph.removeEdge(541, 278, 2); - graph.removeEdge(541, 279, 2); - graph.removeEdge(541, 169, 2); - graph.removeEdge(541, 282, 2); - graph.removeEdge(541, 283, 2); - graph.removeEdge(541, 170, 2); - graph.removeEdge(541, 280, 2); - graph.removeEdge(541, 281, 2); - graph.removeEdge(541, 181, 2); - graph.removeEdge(541, 320, 2); - graph.removeEdge(541, 182, 2); - graph.removeEdge(541, 183, 2); - graph.removeEdge(541, 289, 2); - graph.removeEdge(541, 290, 2); - graph.removeEdge(541, 291, 2); - graph.removeEdge(541, 184, 2); - graph.removeEdge(541, 302, 2); - graph.removeEdge(541, 303, 2); - graph.removeEdge(541, 304, 2); - graph.removeEdge(541, 211, 2); - graph.removeEdge(541, 212, 2); - graph.removeEdge(541, 213, 2); - graph.removeEdge(541, 332, 2); - graph.removeEdge(541, 333, 2); - graph.removeEdge(541, 334, 2); - graph.removeEdge(541, 335, 2); - graph.removeEdge(541, 397, 2); - graph.removeEdge(541, 214, 2); - graph.removeEdge(541, 185, 2); - graph.removeEdge(541, 284, 2); - graph.removeEdge(541, 285, 2); - graph.removeEdge(541, 186, 2); - graph.removeEdge(541, 322, 2); - graph.removeEdge(541, 187, 2); - graph.removeEdge(541, 286, 2); - graph.removeEdge(541, 287, 2); - graph.removeEdge(541, 288, 2); - graph.removeEdge(541, 416, 2); - graph.removeEdge(541, 417, 2); - graph.removeEdge(541, 517, 2); - graph.removeEdge(541, 418, 2); - graph.removeEdge(541, 327, 2); - graph.removeEdge(541, 188, 2); - graph.removeEdge(541, 344, 2); - graph.removeEdge(541, 345, 2); - graph.removeEdge(541, 346, 2); - graph.removeEdge(541, 236, 2); - graph.removeEdge(541, 237, 2); - graph.removeEdge(541, 122, 2); - graph.removeEdge(541, 238, 2); - graph.removeEdge(541, 254, 2); - graph.removeEdge(541, 255, 2); - graph.removeEdge(541, 239, 2); - graph.removeEdge(541, 240, 2); - graph.removeEdge(541, 189, 2); - graph.removeEdge(541, 312, 2); - graph.removeEdge(541, 313, 2); - graph.removeEdge(541, 159, 2); - graph.removeEdge(541, 160, 2); - graph.removeEdge(541, 161, 2); - graph.removeEdge(541, 314, 2); - graph.removeEdge(541, 315, 2); - graph.removeEdge(541, 190, 2); - graph.removeEdge(541, 107, 2); - graph.removeEdge(541, 108, 2); - graph.removeEdge(541, 109, 2); - graph.removeEdge(541, 110, 2); - graph.removeEdge(541, 191, 2); - graph.removeEdge(541, 336, 2); - graph.removeEdge(541, 337, 2); - graph.removeEdge(541, 471, 2); - graph.removeEdge(541, 472, 2); - graph.removeEdge(541, 473, 2); - graph.removeEdge(541, 338, 2); - graph.removeEdge(541, 339, 2); - graph.removeEdge(541, 489, 2); - graph.removeEdge(541, 490, 2); - graph.removeEdge(541, 491, 2); - graph.removeEdge(541, 340, 2); - graph.removeEdge(541, 422, 2); - graph.removeEdge(541, 423, 2); - graph.removeEdge(541, 424, 2); - graph.removeEdge(541, 341, 2); - graph.removeEdge(541, 494, 2); - graph.removeEdge(541, 495, 2); - graph.removeEdge(541, 496, 2); - graph.removeEdge(541, 342, 2); - graph.removeEdge(541, 343, 2); - graph.removeEdge(541, 192, 2); - graph.removeEdge(541, 321, 2); - graph.removeEdge(541, 193, 2); - graph.removeEdge(541, 347, 2); - graph.removeEdge(541, 348, 2); - graph.removeEdge(541, 469, 2); - graph.removeEdge(541, 470, 2); - graph.removeEdge(541, 508, 2); - graph.removeEdge(541, 509, 2); - graph.removeEdge(541, 349, 2); - graph.removeEdge(541, 419, 2); - graph.removeEdge(541, 420, 2); - graph.removeEdge(541, 350, 2); - graph.removeEdge(541, 497, 2); - graph.removeEdge(541, 351, 2); - graph.removeEdge(541, 425, 2); - graph.removeEdge(541, 426, 2); - graph.removeEdge(541, 352, 2); - graph.removeEdge(541, 492, 2); - graph.removeEdge(541, 493, 2); - graph.removeEdge(541, 194, 2); - graph.removeEdge(541, 316, 2); - graph.removeEdge(541, 317, 2); - graph.removeEdge(541, 392, 2); - graph.removeEdge(541, 393, 2); - graph.removeEdge(541, 318, 2); - graph.removeEdge(541, 319, 2); - graph.removeEdge(541, 195, 2); - graph.removeEdge(541, 196, 2); - graph.removeEdge(541, 197, 2); - graph.removeEdge(541, 387, 2); - graph.removeEdge(541, 388, 2); - graph.removeEdge(541, 498, 2); - graph.removeEdge(541, 499, 2); - graph.removeEdge(541, 500, 2); - graph.removeEdge(541, 389, 2); - graph.removeEdge(541, 390, 2); - graph.removeEdge(541, 198, 2); - graph.removeEdge(541, 199, 2); - graph.removeEdge(541, 328, 2); - graph.removeEdge(541, 329, 2); - graph.removeEdge(541, 394, 2); - graph.removeEdge(541, 395, 2); - graph.removeEdge(541, 396, 2); - graph.removeEdge(541, 330, 2); - graph.removeEdge(541, 331, 2); - graph.removeEdge(541, 200, 2); - graph.removeEdge(541, 201, 2); - graph.addEdge(551, 292, 1); - graph.addEdge(551, 476, 2); - graph.addEdge(551, 506, 2); - graph.addEdge(551, 452, 2); - graph.addEdge(551, 451, 2); - graph.addEdge(551, 399, 2); - graph.addEdge(551, 440, 2); - graph.addEdge(551, 441, 2); - graph.addEdge(551, 519, 2); - graph.addEdge(551, 217, 2); - graph.addEdge(551, 355, 2); - graph.addEdge(551, 356, 2); - graph.addEdge(551, 432, 2); - graph.addEdge(551, 219, 2); - graph.addEdge(551, 520, 2); - graph.addEdge(551, 526, 2); - graph.addEdge(551, 527, 2); - graph.addEdge(551, 528, 2); - graph.addEdge(551, 529, 2); - graph.addEdge(551, 521, 2); - graph.addEdge(551, 522, 2); - graph.addEdge(551, 421, 2); - graph.addEdge(551, 523, 2); - graph.addEdge(551, 400, 2); - graph.addEdge(551, 501, 2); - graph.addEdge(551, 465, 2); - graph.addEdge(551, 487, 2); - graph.addEdge(551, 272, 2); - graph.addEdge(551, 273, 2); - graph.addEdge(551, 467, 1); - graph.addEdge(551, 452, 1); - graph.addEdge(551, 466, 1); - graph.addEdge(551, 451, 1); - graph.addEdge(551, 447, 1); - graph.addEdge(551, 320, 1); - graph.addEdge(551, 229, 1); - graph.addEdge(551, 229, 2); - graph.addEdge(551, 289, 1); - graph.addEdge(551, 89, 2); - graph.addEdge(551, 90, 2); - graph.addEdge(551, 91, 2); - // this edge already exists - assert(!graph.addEdge(551, 204, 2)); - graph.addEdge(551, 427, 2); - graph.addEdge(551, 428, 2); - graph.addEdge(551, 429, 2); - graph.addEdge(551, 323, 2); - graph.addEdge(551, 405, 2); - graph.addEdge(551, 406, 2); - graph.addEdge(551, 401, 2); - graph.addEdge(551, 305, 2); - graph.addEdge(551, 306, 2); - graph.addEdge(551, 202, 1); - graph.addEdge(551, 307, 1); - graph.addEdge(551, 383, 1); - graph.addEdge(551, 474, 1); - graph.addEdge(551, 308, 1); - graph.addEdge(551, 403, 1); - graph.addEdge(551, 401, 1); - graph.addEdge(551, 173, 1); - graph.addEdge(551, 305, 1); - graph.addEdge(551, 391, 1); - graph.addEdge(551, 302, 1); - // this edge already exists - assert(!graph.addEdge(551, 213, 2)); - graph.addEdge(551, 397, 2); - graph.addEdge(551, 211, 1); - graph.addEdge(551, 332, 1); - graph.addEdge(551, 397, 1); - graph.addEdge(551, 284, 1); - graph.addEdge(551, 322, 1); - graph.addEdge(551, 286, 1); - graph.addEdge(551, 417, 2); - graph.addEdge(551, 416, 1); - graph.addEdge(551, 517, 1); - graph.addEdge(551, 327, 1); - graph.addEdge(551, 344, 1); - graph.addEdge(551, 344, 2); - graph.addEdge(551, 345, 2); - graph.addEdge(551, 346, 2); - graph.addEdge(551, 236, 1); - graph.addEdge(551, 254, 1); - graph.addEdge(551, 312, 1); - graph.addEdge(551, 159, 1); - graph.addEdge(551, 107, 1); - graph.addEdge(551, 336, 1); - graph.addEdge(551, 491, 2); - graph.addEdge(551, 340, 2); - graph.addEdge(551, 422, 2); - graph.addEdge(551, 423, 2); - graph.addEdge(551, 424, 2); - graph.addEdge(551, 494, 2); - graph.addEdge(551, 495, 2); - graph.addEdge(551, 496, 2); - graph.addEdge(551, 343, 2); - graph.addEdge(551, 471, 1); - graph.addEdge(551, 489, 1); - graph.addEdge(551, 422, 1); - graph.addEdge(551, 494, 1); - graph.addEdge(551, 321, 1); - graph.addEdge(551, 347, 1); - graph.addEdge(551, 347, 2); - graph.addEdge(551, 348, 2); - graph.addEdge(551, 349, 2); - graph.addEdge(551, 419, 2); - graph.addEdge(551, 420, 2); - graph.addEdge(551, 350, 2); - graph.addEdge(551, 351, 2); - graph.addEdge(551, 425, 2); - graph.addEdge(551, 426, 2); - graph.addEdge(551, 492, 2); - graph.addEdge(551, 493, 2); - graph.addEdge(551, 469, 1); - graph.addEdge(551, 508, 1); - graph.addEdge(551, 419, 1); - graph.addEdge(551, 497, 1); - graph.addEdge(551, 425, 1); - graph.addEdge(551, 492, 1); - graph.addEdge(551, 316, 1); - graph.addEdge(551, 393, 2); - graph.addEdge(551, 392, 1); - graph.addEdge(551, 387, 1); - graph.addEdge(551, 388, 2); - graph.addEdge(551, 499, 2); - graph.addEdge(551, 500, 2); - graph.addEdge(551, 390, 2); - graph.addEdge(551, 498, 1); - graph.addEdge(551, 328, 1); - graph.addEdge(551, 395, 2); - graph.addEdge(551, 396, 2); - graph.addEdge(551, 394, 1); - graph.addEdge(552, 48, 1); - graph.addEdge(552, 48, 2); - graph.addEdge(552, 49, 2); - graph.addEdge(552, 221, 2); - graph.addEdge(552, 50, 2); - graph.addEdge(552, 179, 2); - graph.addEdge(552, 180, 2); - graph.addEdge(552, 292, 2); - graph.addEdge(552, 293, 2); - graph.addEdge(552, 377, 2); - graph.addEdge(552, 378, 2); - graph.addEdge(552, 488, 2); - graph.addEdge(552, 379, 2); - graph.addEdge(552, 503, 2); - graph.addEdge(552, 504, 2); - graph.addEdge(552, 512, 2); - graph.addEdge(552, 513, 2); - graph.addEdge(552, 209, 2); - graph.addEdge(552, 380, 2); - graph.addEdge(552, 475, 2); - graph.addEdge(552, 476, 2); - graph.addEdge(552, 381, 2); - graph.addEdge(552, 482, 2); - graph.addEdge(552, 483, 2); - graph.addEdge(552, 382, 2); - graph.addEdge(552, 505, 2); - graph.addEdge(552, 506, 2); - graph.addEdge(552, 294, 2); - graph.addEdge(552, 467, 2); - graph.addEdge(552, 468, 2); - graph.addEdge(552, 295, 2); - graph.addEdge(552, 452, 2); - graph.addEdge(552, 296, 2); - graph.addEdge(552, 466, 2); - graph.addEdge(552, 297, 2); - graph.addEdge(552, 451, 2); - graph.addEdge(552, 298, 2); - graph.addEdge(552, 447, 2); - graph.addEdge(552, 448, 2); - graph.addEdge(552, 449, 2); - graph.addEdge(552, 398, 2); - graph.addEdge(552, 399, 2); - graph.addEdge(552, 440, 2); - graph.addEdge(552, 441, 2); - graph.addEdge(552, 518, 2); - graph.addEdge(552, 519, 2); - graph.addEdge(552, 251, 2); - graph.addEdge(552, 252, 2); - graph.addEdge(552, 217, 2); - graph.addEdge(552, 218, 2); - graph.addEdge(552, 241, 2); - graph.addEdge(552, 242, 2); - graph.addEdge(552, 355, 2); - graph.addEdge(552, 356, 2); - graph.addEdge(552, 432, 2); - graph.addEdge(552, 219, 2); - graph.addEdge(552, 366, 2); - graph.addEdge(552, 367, 2); - graph.addEdge(552, 220, 2); - graph.addEdge(552, 368, 2); - graph.addEdge(552, 253, 2); - graph.addEdge(552, 386, 2); - graph.addEdge(552, 520, 2); - graph.addEdge(552, 526, 2); - graph.addEdge(552, 527, 2); - graph.addEdge(552, 528, 2); - graph.addEdge(552, 529, 2); - graph.addEdge(552, 521, 2); - graph.addEdge(552, 522, 2); - graph.addEdge(552, 421, 2); - graph.addEdge(552, 442, 2); - graph.addEdge(552, 523, 2); - graph.addEdge(552, 400, 2); - graph.addEdge(552, 450, 2); - graph.addEdge(552, 165, 2); - graph.addEdge(552, 166, 2); - graph.addEdge(552, 274, 2); - graph.addEdge(552, 275, 2); - graph.addEdge(552, 371, 2); - graph.addEdge(552, 372, 2); - graph.addEdge(552, 461, 2); - graph.addEdge(552, 462, 2); - graph.addEdge(552, 501, 2); - graph.addEdge(552, 502, 2); - graph.addEdge(552, 373, 2); - graph.addEdge(552, 481, 2); - graph.addEdge(552, 374, 2); - graph.addEdge(552, 464, 2); - graph.addEdge(552, 465, 2); - graph.addEdge(552, 375, 2); - graph.addEdge(552, 484, 2); - graph.addEdge(552, 485, 2); - graph.addEdge(552, 376, 2); - graph.addEdge(552, 486, 2); - graph.addEdge(552, 487, 2); - graph.addEdge(552, 276, 2); - graph.addEdge(552, 277, 2); - graph.addEdge(552, 167, 2); - graph.addEdge(552, 272, 2); - graph.addEdge(552, 273, 2); - graph.addEdge(552, 369, 2); - graph.addEdge(552, 370, 2); - graph.addEdge(552, 463, 2); - graph.addEdge(552, 168, 2); - graph.addEdge(552, 278, 2); - graph.addEdge(552, 279, 2); - graph.addEdge(552, 169, 2); - graph.addEdge(552, 282, 2); - graph.addEdge(552, 283, 2); - graph.addEdge(552, 170, 2); - graph.addEdge(552, 280, 2); - graph.addEdge(552, 281, 2); - graph.addEdge(552, 181, 2); - graph.addEdge(552, 320, 2); - graph.addEdge(552, 182, 2); - graph.addEdge(552, 123, 2); - graph.addEdge(552, 124, 2); - graph.addEdge(552, 229, 2); - graph.addEdge(552, 230, 2); - graph.addEdge(552, 353, 2); - graph.addEdge(552, 354, 2); - graph.addEdge(552, 125, 2); - graph.addEdge(552, 183, 2); - graph.addEdge(552, 289, 2); - graph.addEdge(552, 290, 2); - graph.addEdge(552, 89, 2); - graph.addEdge(552, 90, 2); - graph.addEdge(552, 91, 2); - graph.addEdge(552, 291, 2); - graph.addEdge(552, 126, 2); - graph.addEdge(552, 127, 2); - graph.addEdge(552, 202, 2); - graph.addEdge(552, 203, 2); - graph.addEdge(552, 307, 2); - graph.addEdge(552, 204, 2); - graph.addEdge(552, 231, 2); - graph.addEdge(552, 232, 2); - graph.addEdge(552, 427, 2); - graph.addEdge(552, 428, 2); - graph.addEdge(552, 429, 2); - graph.addEdge(552, 134, 2); - graph.addEdge(552, 233, 2); - graph.addEdge(552, 205, 2); - graph.addEdge(552, 162, 2); - graph.addEdge(552, 206, 2); - graph.addEdge(552, 383, 2); - graph.addEdge(552, 384, 2); - graph.addEdge(552, 385, 2); - graph.addEdge(552, 474, 2); - graph.addEdge(552, 207, 2); - graph.addEdge(552, 323, 2); - graph.addEdge(552, 208, 2); - graph.addEdge(552, 308, 2); - graph.addEdge(552, 309, 2); - graph.addEdge(552, 403, 2); - graph.addEdge(552, 404, 2); - graph.addEdge(552, 405, 2); - graph.addEdge(552, 210, 2); - graph.addEdge(552, 406, 2); - graph.addEdge(552, 310, 2); - graph.addEdge(552, 121, 2); - graph.addEdge(552, 311, 2); - graph.addEdge(552, 401, 2); - graph.addEdge(552, 402, 2); - graph.addEdge(552, 128, 2); - graph.addEdge(552, 173, 2); - graph.addEdge(552, 174, 2); - graph.addEdge(552, 163, 2); - graph.addEdge(552, 175, 2); - graph.addEdge(552, 305, 2); - graph.addEdge(552, 306, 2); - graph.addEdge(552, 391, 2); - graph.addEdge(552, 129, 2); - graph.addEdge(552, 131, 2); - graph.addEdge(552, 132, 2); - graph.addEdge(552, 133, 2); - graph.addEdge(552, 184, 2); - graph.addEdge(552, 302, 2); - graph.addEdge(552, 303, 2); - graph.addEdge(552, 304, 2); - graph.addEdge(552, 211, 2); - graph.addEdge(552, 212, 2); - graph.addEdge(552, 213, 2); - graph.addEdge(552, 332, 2); - graph.addEdge(552, 333, 2); - graph.addEdge(552, 334, 2); - graph.addEdge(552, 335, 2); - graph.addEdge(552, 397, 2); - graph.addEdge(552, 214, 2); - graph.addEdge(552, 185, 2); - graph.addEdge(552, 284, 2); - graph.addEdge(552, 285, 2); - graph.addEdge(552, 186, 2); - graph.addEdge(552, 322, 2); - graph.addEdge(552, 187, 2); - graph.addEdge(552, 286, 2); - graph.addEdge(552, 287, 2); - graph.addEdge(552, 288, 2); - graph.addEdge(552, 416, 2); - graph.addEdge(552, 417, 2); - graph.addEdge(552, 517, 2); - graph.addEdge(552, 418, 2); - graph.addEdge(552, 327, 2); - graph.addEdge(552, 188, 2); - graph.addEdge(552, 344, 2); - graph.addEdge(552, 345, 2); - graph.addEdge(552, 346, 2); - graph.addEdge(552, 236, 2); - graph.addEdge(552, 237, 2); - graph.addEdge(552, 122, 2); - graph.addEdge(552, 238, 2); - graph.addEdge(552, 254, 2); - graph.addEdge(552, 255, 2); - graph.addEdge(552, 239, 2); - graph.addEdge(552, 240, 2); - graph.addEdge(552, 189, 2); - graph.addEdge(552, 312, 2); - graph.addEdge(552, 313, 2); - graph.addEdge(552, 159, 2); - graph.addEdge(552, 160, 2); - graph.addEdge(552, 161, 2); - graph.addEdge(552, 314, 2); - graph.addEdge(552, 315, 2); - graph.addEdge(552, 190, 2); - graph.addEdge(552, 107, 2); - graph.addEdge(552, 108, 2); - graph.addEdge(552, 109, 2); - graph.addEdge(552, 110, 2); - graph.addEdge(552, 191, 2); - graph.addEdge(552, 336, 2); - graph.addEdge(552, 337, 2); - graph.addEdge(552, 471, 2); - graph.addEdge(552, 472, 2); - graph.addEdge(552, 473, 2); - graph.addEdge(552, 338, 2); - graph.addEdge(552, 339, 2); - graph.addEdge(552, 489, 2); - graph.addEdge(552, 490, 2); - graph.addEdge(552, 491, 2); - graph.addEdge(552, 340, 2); - graph.addEdge(552, 422, 2); - graph.addEdge(552, 423, 2); - graph.addEdge(552, 424, 2); - graph.addEdge(552, 341, 2); - graph.addEdge(552, 494, 2); - graph.addEdge(552, 495, 2); - graph.addEdge(552, 496, 2); - graph.addEdge(552, 342, 2); - graph.addEdge(552, 343, 2); - graph.addEdge(552, 192, 2); - graph.addEdge(552, 321, 2); - graph.addEdge(552, 193, 2); - graph.addEdge(552, 347, 2); - graph.addEdge(552, 348, 2); - graph.addEdge(552, 469, 2); - graph.addEdge(552, 470, 2); - graph.addEdge(552, 508, 2); - graph.addEdge(552, 509, 2); - graph.addEdge(552, 349, 2); - graph.addEdge(552, 419, 2); - graph.addEdge(552, 420, 2); - graph.addEdge(552, 350, 2); - graph.addEdge(552, 497, 2); - graph.addEdge(552, 351, 2); - graph.addEdge(552, 425, 2); - graph.addEdge(552, 426, 2); - graph.addEdge(552, 352, 2); - graph.addEdge(552, 492, 2); - graph.addEdge(552, 493, 2); - graph.addEdge(552, 194, 2); - graph.addEdge(552, 316, 2); - graph.addEdge(552, 317, 2); - graph.addEdge(552, 392, 2); - graph.addEdge(552, 393, 2); - graph.addEdge(552, 318, 2); - graph.addEdge(552, 319, 2); - graph.addEdge(552, 195, 2); - graph.addEdge(552, 196, 2); - graph.addEdge(552, 197, 2); - graph.addEdge(552, 387, 2); - graph.addEdge(552, 388, 2); - graph.addEdge(552, 498, 2); - graph.addEdge(552, 499, 2); - graph.addEdge(552, 500, 2); - graph.addEdge(552, 389, 2); - graph.addEdge(552, 390, 2); - graph.addEdge(552, 198, 2); - graph.addEdge(552, 199, 2); - graph.addEdge(552, 328, 2); - graph.addEdge(552, 329, 2); - graph.addEdge(552, 394, 2); - graph.addEdge(552, 395, 2); - graph.addEdge(552, 396, 2); - graph.addEdge(552, 330, 2); - graph.addEdge(552, 331, 2); - graph.addEdge(552, 200, 2); - graph.addEdge(552, 201, 2); - graph.addEdge(552, 51, 2); - graph.addEdge(552, 102, 2); - graph.addEdge(552, 103, 2); - graph.addEdge(552, 111, 2); - graph.addEdge(552, 112, 2); - graph.addEdge(552, 113, 2); - graph.addEdge(552, 265, 2); - graph.addEdge(552, 266, 2); - graph.addEdge(552, 267, 2); - graph.addEdge(552, 324, 2); - graph.addEdge(552, 325, 2); - graph.addEdge(552, 326, 2); - graph.addEdge(552, 114, 2); - graph.addEdge(552, 215, 2); - graph.addEdge(552, 216, 2); - graph.addEdge(552, 364, 2); - graph.addEdge(552, 365, 2); - graph.addEdge(552, 459, 2); - graph.addEdge(552, 460, 2); - graph.addEdge(552, 115, 2); - graph.addEdge(552, 171, 2); - graph.addEdge(552, 172, 2); - graph.addEdge(552, 259, 2); - graph.addEdge(552, 260, 2); - graph.addEdge(552, 261, 2); - graph.addEdge(552, 262, 2); - graph.addEdge(552, 263, 2); - graph.addEdge(552, 104, 2); - graph.addEdge(552, 264, 2); - graph.addEdge(552, 105, 2); - graph.addEdge(552, 156, 2); - graph.addEdge(552, 157, 2); - graph.addEdge(552, 256, 2); - graph.addEdge(552, 257, 2); - graph.addEdge(552, 258, 2); - graph.addEdge(552, 234, 2); - graph.addEdge(552, 235, 2); - graph.addEdge(552, 158, 2); - graph.addEdge(552, 271, 2); - graph.addEdge(552, 106, 2); - graph.addEdge(552, 52, 2); - graph.addEdge(552, 53, 2); - graph.addEdge(552, 54, 2); - graph.addEdge(552, 100, 2); - graph.addEdge(552, 101, 2); - graph.addEdge(552, 152, 2); - graph.addEdge(552, 153, 2); - graph.addEdge(552, 154, 2); - graph.addEdge(552, 155, 2); - graph.addEdge(552, 55, 2); - graph.addEdge(552, 116, 2); - graph.addEdge(552, 117, 2); - graph.addEdge(552, 46, 2); - graph.addEdge(552, 47, 2); - graph.addEdge(552, 64, 2); - graph.addEdge(552, 65, 2); - graph.addEdge(552, 66, 2); - graph.addEdge(552, 96, 2); - graph.addEdge(552, 97, 2); - graph.addEdge(552, 98, 2); - graph.addEdge(552, 99, 2); - graph.addEdge(552, 118, 2); - graph.addEdge(552, 147, 2); - graph.addEdge(552, 148, 2); - graph.addEdge(552, 268, 2); - graph.addEdge(552, 119, 2); - graph.addEdge(552, 225, 2); - graph.addEdge(552, 226, 2); - graph.addEdge(552, 411, 2); - graph.addEdge(552, 412, 2); - graph.addEdge(552, 516, 2); - graph.addEdge(552, 413, 2); - graph.addEdge(552, 414, 2); - graph.addEdge(552, 130, 2); - graph.addEdge(552, 227, 2); - graph.addEdge(552, 415, 2); - graph.addEdge(552, 56, 2); - graph.addEdge(535, 552, 4); - graph.removeEdge(535, 48, 2); - graph.removeEdge(535, 49, 2); - graph.removeEdge(535, 221, 2); - graph.removeEdge(535, 50, 2); - graph.removeEdge(535, 51, 2); - graph.removeEdge(535, 102, 2); - graph.removeEdge(535, 103, 2); - graph.removeEdge(535, 111, 2); - graph.removeEdge(535, 112, 2); - graph.removeEdge(535, 113, 2); - graph.removeEdge(535, 265, 2); - graph.removeEdge(535, 266, 2); - graph.removeEdge(535, 267, 2); - graph.removeEdge(535, 324, 2); - graph.removeEdge(535, 325, 2); - graph.removeEdge(535, 326, 2); - graph.removeEdge(535, 114, 2); - graph.removeEdge(535, 215, 2); - graph.removeEdge(535, 216, 2); - graph.removeEdge(535, 364, 2); - graph.removeEdge(535, 365, 2); - graph.removeEdge(535, 459, 2); - graph.removeEdge(535, 460, 2); - graph.removeEdge(535, 115, 2); - graph.removeEdge(535, 171, 2); - graph.removeEdge(535, 172, 2); - graph.removeEdge(535, 259, 2); - graph.removeEdge(535, 260, 2); - graph.removeEdge(535, 261, 2); - graph.removeEdge(535, 262, 2); - graph.removeEdge(535, 263, 2); - graph.removeEdge(535, 104, 2); - graph.removeEdge(535, 264, 2); - graph.removeEdge(535, 105, 2); - graph.removeEdge(535, 156, 2); - graph.removeEdge(535, 157, 2); - graph.removeEdge(535, 256, 2); - graph.removeEdge(535, 257, 2); - graph.removeEdge(535, 258, 2); - graph.removeEdge(535, 234, 2); - graph.removeEdge(535, 235, 2); - graph.removeEdge(535, 158, 2); - graph.removeEdge(535, 271, 2); - graph.removeEdge(535, 106, 2); - graph.removeEdge(535, 52, 2); - graph.removeEdge(535, 53, 2); - graph.removeEdge(535, 54, 2); - graph.removeEdge(535, 100, 2); - graph.removeEdge(535, 101, 2); - graph.removeEdge(535, 152, 2); - graph.removeEdge(535, 153, 2); - graph.removeEdge(535, 154, 2); - graph.removeEdge(535, 155, 2); - graph.removeEdge(535, 55, 2); - graph.removeEdge(535, 116, 2); - graph.removeEdge(535, 117, 2); - graph.removeEdge(535, 46, 2); - graph.removeEdge(535, 47, 2); - graph.removeEdge(535, 64, 2); - graph.removeEdge(535, 65, 2); - graph.removeEdge(535, 66, 2); - graph.removeEdge(535, 96, 2); - graph.removeEdge(535, 97, 2); - graph.removeEdge(535, 98, 2); - graph.removeEdge(535, 99, 2); - graph.removeEdge(535, 118, 2); - graph.removeEdge(535, 147, 2); - graph.removeEdge(535, 148, 2); - graph.removeEdge(535, 268, 2); - graph.removeEdge(535, 119, 2); - graph.removeEdge(535, 225, 2); - graph.removeEdge(535, 226, 2); - graph.removeEdge(535, 411, 2); - graph.removeEdge(535, 412, 2); - graph.removeEdge(535, 516, 2); - graph.removeEdge(535, 413, 2); - graph.removeEdge(535, 414, 2); - graph.removeEdge(535, 130, 2); - graph.removeEdge(535, 227, 2); - graph.removeEdge(535, 415, 2); - graph.removeEdge(535, 56, 2); - graph.addEdge(538, 552, 4); - graph.removeEdge(538, 48, 2); - graph.removeEdge(538, 49, 2); - graph.removeEdge(538, 221, 2); - graph.removeEdge(538, 50, 2); - graph.removeEdge(538, 51, 2); - graph.removeEdge(538, 102, 2); - graph.removeEdge(538, 103, 2); - graph.removeEdge(538, 111, 2); - graph.removeEdge(538, 112, 2); - graph.removeEdge(538, 113, 2); - graph.removeEdge(538, 265, 2); - graph.removeEdge(538, 266, 2); - graph.removeEdge(538, 267, 2); - graph.removeEdge(538, 324, 2); - graph.removeEdge(538, 325, 2); - graph.removeEdge(538, 326, 2); - graph.removeEdge(538, 114, 2); - graph.removeEdge(538, 215, 2); - graph.removeEdge(538, 216, 2); - graph.removeEdge(538, 364, 2); - graph.removeEdge(538, 365, 2); - graph.removeEdge(538, 459, 2); - graph.removeEdge(538, 460, 2); - graph.removeEdge(538, 115, 2); - graph.removeEdge(538, 171, 2); - graph.removeEdge(538, 172, 2); - graph.removeEdge(538, 259, 2); - graph.removeEdge(538, 260, 2); - graph.removeEdge(538, 261, 2); - graph.removeEdge(538, 262, 2); - graph.removeEdge(538, 263, 2); - graph.removeEdge(538, 104, 2); - graph.removeEdge(538, 264, 2); - graph.removeEdge(538, 105, 2); - graph.removeEdge(538, 156, 2); - graph.removeEdge(538, 157, 2); - graph.removeEdge(538, 256, 2); - graph.removeEdge(538, 257, 2); - graph.removeEdge(538, 258, 2); - graph.removeEdge(538, 234, 2); - graph.removeEdge(538, 235, 2); - graph.removeEdge(538, 158, 2); - graph.removeEdge(538, 271, 2); - graph.removeEdge(538, 106, 2); - graph.removeEdge(538, 52, 2); - graph.removeEdge(538, 53, 2); - graph.removeEdge(538, 54, 2); - graph.removeEdge(538, 100, 2); - graph.removeEdge(538, 101, 2); - graph.removeEdge(538, 152, 2); - graph.removeEdge(538, 153, 2); - graph.removeEdge(538, 154, 2); - graph.removeEdge(538, 155, 2); - graph.removeEdge(538, 55, 2); - graph.removeEdge(538, 116, 2); - graph.removeEdge(538, 117, 2); - graph.removeEdge(538, 46, 2); - graph.removeEdge(538, 47, 2); - graph.removeEdge(538, 64, 2); - graph.removeEdge(538, 65, 2); - graph.removeEdge(538, 66, 2); - graph.removeEdge(538, 96, 2); - graph.removeEdge(538, 97, 2); - graph.removeEdge(538, 98, 2); - graph.removeEdge(538, 99, 2); - graph.removeEdge(538, 118, 2); - graph.removeEdge(538, 147, 2); - graph.removeEdge(538, 148, 2); - graph.removeEdge(538, 268, 2); - graph.removeEdge(538, 119, 2); - graph.removeEdge(538, 225, 2); - graph.removeEdge(538, 226, 2); - graph.removeEdge(538, 411, 2); - graph.removeEdge(538, 412, 2); - graph.removeEdge(538, 516, 2); - graph.removeEdge(538, 413, 2); - graph.removeEdge(538, 414, 2); - graph.removeEdge(538, 130, 2); - graph.removeEdge(538, 227, 2); - graph.removeEdge(538, 415, 2); - graph.removeEdge(538, 56, 2); - graph.addEdge(541, 552, 4); - graph.removeEdge(541, 48, 2); - graph.removeEdge(541, 49, 2); - graph.removeEdge(541, 221, 2); - graph.removeEdge(541, 50, 2); - graph.removeEdge(541, 51, 2); - graph.removeEdge(541, 102, 2); - graph.removeEdge(541, 103, 2); - graph.removeEdge(541, 111, 2); - graph.removeEdge(541, 112, 2); - graph.removeEdge(541, 113, 2); - graph.removeEdge(541, 265, 2); - graph.removeEdge(541, 266, 2); - graph.removeEdge(541, 267, 2); - graph.removeEdge(541, 324, 2); - graph.removeEdge(541, 325, 2); - graph.removeEdge(541, 326, 2); - graph.removeEdge(541, 114, 2); - graph.removeEdge(541, 215, 2); - graph.removeEdge(541, 216, 2); - graph.removeEdge(541, 364, 2); - graph.removeEdge(541, 365, 2); - graph.removeEdge(541, 459, 2); - graph.removeEdge(541, 460, 2); - graph.removeEdge(541, 115, 2); - graph.removeEdge(541, 171, 2); - graph.removeEdge(541, 172, 2); - graph.removeEdge(541, 259, 2); - graph.removeEdge(541, 260, 2); - graph.removeEdge(541, 261, 2); - graph.removeEdge(541, 262, 2); - graph.removeEdge(541, 263, 2); - graph.removeEdge(541, 104, 2); - graph.removeEdge(541, 264, 2); - graph.removeEdge(541, 105, 2); - graph.removeEdge(541, 156, 2); - graph.removeEdge(541, 157, 2); - graph.removeEdge(541, 256, 2); - graph.removeEdge(541, 257, 2); - graph.removeEdge(541, 258, 2); - graph.removeEdge(541, 234, 2); - graph.removeEdge(541, 235, 2); - graph.removeEdge(541, 158, 2); - graph.removeEdge(541, 271, 2); - graph.removeEdge(541, 106, 2); - graph.removeEdge(541, 52, 2); - graph.removeEdge(541, 53, 2); - graph.removeEdge(541, 54, 2); - graph.removeEdge(541, 100, 2); - graph.removeEdge(541, 101, 2); - graph.removeEdge(541, 152, 2); - graph.removeEdge(541, 153, 2); - graph.removeEdge(541, 154, 2); - graph.removeEdge(541, 155, 2); - graph.removeEdge(541, 55, 2); - graph.removeEdge(541, 116, 2); - graph.removeEdge(541, 117, 2); - graph.removeEdge(541, 46, 2); - graph.removeEdge(541, 47, 2); - graph.removeEdge(541, 64, 2); - graph.removeEdge(541, 65, 2); - graph.removeEdge(541, 66, 2); - graph.removeEdge(541, 96, 2); - graph.removeEdge(541, 97, 2); - graph.removeEdge(541, 98, 2); - graph.removeEdge(541, 99, 2); - graph.removeEdge(541, 118, 2); - graph.removeEdge(541, 147, 2); - graph.removeEdge(541, 148, 2); - graph.removeEdge(541, 268, 2); - graph.removeEdge(541, 119, 2); - graph.removeEdge(541, 225, 2); - graph.removeEdge(541, 226, 2); - graph.removeEdge(541, 411, 2); - graph.removeEdge(541, 412, 2); - graph.removeEdge(541, 516, 2); - graph.removeEdge(541, 413, 2); - graph.removeEdge(541, 414, 2); - graph.removeEdge(541, 130, 2); - graph.removeEdge(541, 227, 2); - graph.removeEdge(541, 415, 2); - graph.removeEdge(541, 56, 2); - graph.addEdge(552, 256, 1); - graph.addEdge(552, 326, 2); - graph.addEdge(552, 216, 2); - graph.addEdge(552, 459, 2); - graph.addEdge(552, 462, 2); - graph.addEdge(552, 440, 2); - graph.addEdge(552, 441, 2); - graph.addEdge(552, 529, 2); - graph.addEdge(552, 442, 2); - graph.addEdge(552, 484, 2); - graph.addEdge(552, 488, 2); - graph.addEdge(552, 483, 2); - graph.addEdge(552, 280, 2); - graph.addEdge(552, 221, 2); - graph.addEdge(552, 111, 1); - graph.addEdge(552, 265, 1); - graph.addEdge(552, 215, 1); - graph.addEdge(552, 364, 1); - graph.addEdge(552, 459, 1); - graph.addEdge(552, 171, 1); - graph.addEdge(552, 259, 1); - graph.addEdge(552, 234, 1); - graph.addEdge(552, 116, 1); - graph.addEdge(552, 102, 1); - graph.addEdge(552, 264, 1); - graph.addEdge(552, 156, 1); - graph.addEdge(552, 100, 1); - graph.addEdge(552, 152, 1); - graph.addEdge(553, 135, 1); - graph.addEdge(553, 135, 2); - graph.addEdge(553, 136, 2); - graph.addEdge(553, 248, 2); - graph.addEdge(553, 249, 2); - graph.addEdge(553, 360, 2); - graph.addEdge(553, 361, 2); - graph.addEdge(553, 256, 2); - graph.addEdge(553, 257, 2); - graph.addEdge(553, 111, 2); - graph.addEdge(553, 112, 2); - graph.addEdge(553, 162, 2); - graph.addEdge(553, 113, 2); - graph.addEdge(553, 265, 2); - graph.addEdge(553, 266, 2); - graph.addEdge(553, 267, 2); - graph.addEdge(553, 324, 2); - graph.addEdge(553, 325, 2); - graph.addEdge(553, 217, 2); - graph.addEdge(553, 218, 2); - graph.addEdge(553, 241, 2); - graph.addEdge(553, 242, 2); - graph.addEdge(553, 355, 2); - graph.addEdge(553, 356, 2); - graph.addEdge(553, 432, 2); - graph.addEdge(553, 219, 2); - graph.addEdge(553, 366, 2); - graph.addEdge(553, 367, 2); - graph.addEdge(553, 220, 2); - graph.addEdge(553, 368, 2); - graph.addEdge(553, 326, 2); - graph.addEdge(553, 134, 2); - graph.addEdge(553, 114, 2); - graph.addEdge(553, 215, 2); - graph.addEdge(553, 216, 2); - graph.addEdge(553, 364, 2); - graph.addEdge(553, 365, 2); - graph.addEdge(553, 459, 2); - graph.addEdge(553, 460, 2); - graph.addEdge(553, 165, 2); - graph.addEdge(553, 166, 2); - graph.addEdge(553, 274, 2); - graph.addEdge(553, 275, 2); - graph.addEdge(553, 371, 2); - graph.addEdge(553, 372, 2); - graph.addEdge(553, 461, 2); - graph.addEdge(553, 462, 2); - graph.addEdge(553, 501, 2); - graph.addEdge(553, 502, 2); - graph.addEdge(553, 440, 2); - graph.addEdge(553, 441, 2); - graph.addEdge(553, 518, 2); - graph.addEdge(553, 519, 2); - graph.addEdge(553, 251, 2); - graph.addEdge(553, 252, 2); - graph.addEdge(553, 253, 2); - graph.addEdge(553, 386, 2); - graph.addEdge(553, 520, 2); - graph.addEdge(553, 526, 2); - graph.addEdge(553, 527, 2); - graph.addEdge(553, 528, 2); - graph.addEdge(553, 529, 2); - graph.addEdge(553, 521, 2); - graph.addEdge(553, 522, 2); - graph.addEdge(553, 421, 2); - graph.addEdge(553, 442, 2); - graph.addEdge(553, 523, 2); - graph.addEdge(553, 373, 2); - graph.addEdge(553, 481, 2); - graph.addEdge(553, 374, 2); - graph.addEdge(553, 464, 2); - graph.addEdge(553, 465, 2); - graph.addEdge(553, 375, 2); - graph.addEdge(553, 484, 2); - graph.addEdge(553, 485, 2); - graph.addEdge(553, 376, 2); - graph.addEdge(553, 486, 2); - graph.addEdge(553, 487, 2); - graph.addEdge(553, 276, 2); - graph.addEdge(553, 377, 2); - graph.addEdge(553, 378, 2); - graph.addEdge(553, 488, 2); - graph.addEdge(553, 379, 2); - graph.addEdge(553, 503, 2); - graph.addEdge(553, 504, 2); - graph.addEdge(553, 512, 2); - graph.addEdge(553, 513, 2); - graph.addEdge(553, 209, 2); - graph.addEdge(553, 380, 2); - graph.addEdge(553, 475, 2); - graph.addEdge(553, 476, 2); - graph.addEdge(553, 381, 2); - graph.addEdge(553, 482, 2); - graph.addEdge(553, 483, 2); - graph.addEdge(553, 382, 2); - graph.addEdge(553, 505, 2); - graph.addEdge(553, 506, 2); - graph.addEdge(553, 277, 2); - graph.addEdge(553, 398, 2); - graph.addEdge(553, 399, 2); - graph.addEdge(553, 400, 2); - graph.addEdge(553, 167, 2); - graph.addEdge(553, 272, 2); - graph.addEdge(553, 273, 2); - graph.addEdge(553, 369, 2); - graph.addEdge(553, 370, 2); - graph.addEdge(553, 463, 2); - graph.addEdge(553, 168, 2); - graph.addEdge(553, 278, 2); - graph.addEdge(553, 279, 2); - graph.addEdge(553, 169, 2); - graph.addEdge(553, 282, 2); - graph.addEdge(553, 283, 2); - graph.addEdge(553, 170, 2); - graph.addEdge(553, 280, 2); - graph.addEdge(553, 281, 2); - graph.addEdge(553, 115, 2); - graph.addEdge(553, 171, 2); - graph.addEdge(553, 172, 2); - graph.addEdge(553, 259, 2); - graph.addEdge(553, 260, 2); - graph.addEdge(553, 261, 2); - graph.addEdge(553, 221, 2); - graph.addEdge(553, 262, 2); - graph.addEdge(553, 263, 2); - graph.addEdge(553, 258, 2); - graph.addEdge(553, 234, 2); - graph.addEdge(553, 235, 2); - graph.addEdge(553, 362, 2); - graph.addEdge(553, 453, 2); - graph.addEdge(553, 454, 2); - graph.addEdge(553, 123, 2); - graph.addEdge(553, 124, 2); - graph.addEdge(553, 229, 2); - graph.addEdge(553, 230, 2); - graph.addEdge(553, 353, 2); - graph.addEdge(553, 354, 2); - graph.addEdge(553, 125, 2); - graph.addEdge(553, 455, 2); - graph.addEdge(553, 456, 2); - graph.addEdge(553, 323, 2); - graph.addEdge(553, 457, 2); - graph.addEdge(553, 458, 2); - graph.addEdge(553, 363, 2); - graph.addEdge(553, 250, 2); - graph.addEdge(553, 357, 2); - graph.addEdge(553, 358, 2); - graph.addEdge(553, 443, 2); - graph.addEdge(553, 359, 2); - graph.addEdge(553, 433, 2); - graph.addEdge(553, 434, 2); - graph.addEdge(553, 435, 2); - graph.addEdge(553, 231, 2); - graph.addEdge(553, 232, 2); - graph.addEdge(553, 427, 2); - graph.addEdge(553, 428, 2); - graph.addEdge(553, 429, 2); - graph.addEdge(553, 233, 2); - graph.addEdge(553, 436, 2); - graph.addEdge(553, 437, 2); - graph.addEdge(553, 438, 2); - graph.addEdge(553, 210, 2); - graph.addEdge(553, 439, 2); - graph.addEdge(553, 137, 2); - graph.addEdge(553, 116, 2); - graph.addEdge(553, 117, 2); - graph.addEdge(553, 46, 2); - graph.addEdge(553, 47, 2); - graph.addEdge(553, 64, 2); - graph.addEdge(553, 65, 2); - graph.addEdge(553, 122, 2); - graph.addEdge(553, 66, 2); - graph.addEdge(553, 96, 2); - graph.addEdge(553, 97, 2); - graph.addEdge(553, 98, 2); - graph.addEdge(553, 99, 2); - graph.addEdge(553, 118, 2); - graph.addEdge(553, 147, 2); - graph.addEdge(553, 148, 2); - graph.addEdge(553, 268, 2); - graph.addEdge(553, 119, 2); - graph.addEdge(553, 225, 2); - graph.addEdge(553, 226, 2); - graph.addEdge(553, 411, 2); - graph.addEdge(553, 412, 2); - graph.addEdge(553, 516, 2); - graph.addEdge(553, 413, 2); - graph.addEdge(553, 414, 2); - graph.addEdge(553, 130, 2); - graph.addEdge(553, 227, 2); - graph.addEdge(553, 415, 2); - graph.addEdge(535, 553, 4); - graph.removeEdge(535, 135, 2); - graph.removeEdge(535, 136, 2); - graph.removeEdge(535, 248, 2); - graph.removeEdge(535, 249, 2); - graph.removeEdge(535, 360, 2); - graph.removeEdge(535, 361, 2); - graph.removeEdge(535, 362, 2); - graph.removeEdge(535, 453, 2); - graph.removeEdge(535, 454, 2); - graph.removeEdge(535, 455, 2); - graph.removeEdge(535, 456, 2); - graph.removeEdge(535, 457, 2); - graph.removeEdge(535, 458, 2); - graph.removeEdge(535, 363, 2); - graph.removeEdge(535, 250, 2); - graph.removeEdge(535, 357, 2); - graph.removeEdge(535, 358, 2); - graph.removeEdge(535, 443, 2); - graph.removeEdge(535, 359, 2); - graph.removeEdge(535, 433, 2); - graph.removeEdge(535, 434, 2); - graph.removeEdge(535, 435, 2); - graph.removeEdge(535, 436, 2); - graph.removeEdge(535, 437, 2); - graph.removeEdge(535, 438, 2); - graph.removeEdge(535, 439, 2); - graph.removeEdge(535, 137, 2); - graph.addEdge(538, 553, 4); - graph.removeEdge(538, 135, 2); - graph.removeEdge(538, 136, 2); - graph.removeEdge(538, 248, 2); - graph.removeEdge(538, 249, 2); - graph.removeEdge(538, 360, 2); - graph.removeEdge(538, 361, 2); - graph.removeEdge(538, 362, 2); - graph.removeEdge(538, 453, 2); - graph.removeEdge(538, 454, 2); - graph.removeEdge(538, 455, 2); - graph.removeEdge(538, 456, 2); - graph.removeEdge(538, 457, 2); - graph.removeEdge(538, 458, 2); - graph.removeEdge(538, 363, 2); - graph.removeEdge(538, 250, 2); - graph.removeEdge(538, 357, 2); - graph.removeEdge(538, 358, 2); - graph.removeEdge(538, 443, 2); - graph.removeEdge(538, 359, 2); - graph.removeEdge(538, 433, 2); - graph.removeEdge(538, 434, 2); - graph.removeEdge(538, 435, 2); - graph.removeEdge(538, 436, 2); - graph.removeEdge(538, 437, 2); - graph.removeEdge(538, 438, 2); - graph.removeEdge(538, 439, 2); - graph.removeEdge(538, 137, 2); - graph.addEdge(553, 248, 1); - graph.addEdge(553, 465, 2); - graph.addEdge(553, 360, 1); - graph.addEdge(553, 453, 1); - graph.addEdge(553, 357, 1); - graph.addEdge(553, 443, 1); - graph.addEdge(553, 433, 1); - graph.addEdge(554, 377, 1); - graph.addEdge(554, 377, 2); - graph.addEdge(554, 378, 2); - graph.addEdge(554, 488, 2); - graph.addEdge(554, 379, 2); - graph.addEdge(554, 503, 2); - graph.addEdge(554, 504, 2); - graph.addEdge(554, 512, 2); - graph.addEdge(554, 513, 2); - graph.addEdge(554, 209, 2); - graph.addEdge(554, 380, 2); - graph.addEdge(554, 475, 2); - graph.addEdge(554, 476, 2); - graph.addEdge(554, 381, 2); - graph.addEdge(554, 482, 2); - graph.addEdge(554, 483, 2); - graph.addEdge(554, 382, 2); - graph.addEdge(554, 505, 2); - graph.addEdge(554, 506, 2); - graph.addEdge(532, 554, 4); - graph.addEdge(535, 554, 4); - graph.addEdge(538, 554, 4); - graph.addEdge(541, 554, 4); - graph.addEdge(550, 554, 4); - graph.removeEdge(550, 377, 2); - graph.removeEdge(550, 378, 2); - graph.removeEdge(550, 488, 2); - graph.removeEdge(550, 379, 2); - graph.removeEdge(550, 503, 2); - graph.removeEdge(550, 504, 2); - graph.removeEdge(550, 512, 2); - graph.removeEdge(550, 513, 2); - graph.removeEdge(550, 209, 2); - graph.removeEdge(550, 380, 2); - graph.removeEdge(550, 475, 2); - graph.removeEdge(550, 476, 2); - graph.removeEdge(550, 381, 2); - graph.removeEdge(550, 482, 2); - graph.removeEdge(550, 483, 2); - graph.removeEdge(550, 382, 2); - graph.removeEdge(550, 505, 2); - graph.removeEdge(550, 506, 2); - graph.addEdge(554, 488, 1); - graph.addEdge(554, 503, 1); - graph.addEdge(554, 512, 1); - graph.addEdge(554, 475, 1); - graph.addEdge(554, 476, 2); - graph.addEdge(554, 482, 1); - graph.addEdge(554, 505, 1); - graph.addEdge(554, 398, 1); - graph.addEdge(554, 398, 2); - graph.addEdge(554, 399, 2); - graph.addEdge(554, 440, 2); - graph.addEdge(554, 441, 2); - graph.addEdge(554, 518, 2); - graph.addEdge(554, 519, 2); - graph.addEdge(554, 251, 2); - graph.addEdge(554, 252, 2); - graph.addEdge(554, 217, 2); - graph.addEdge(554, 218, 2); - graph.addEdge(554, 241, 2); - graph.addEdge(554, 242, 2); - graph.addEdge(554, 355, 2); - graph.addEdge(554, 356, 2); - graph.addEdge(554, 432, 2); - graph.addEdge(554, 219, 2); - graph.addEdge(554, 366, 2); - graph.addEdge(554, 367, 2); - graph.addEdge(554, 220, 2); - graph.addEdge(554, 368, 2); - graph.addEdge(554, 253, 2); - graph.addEdge(554, 386, 2); - graph.addEdge(554, 520, 2); - graph.addEdge(554, 526, 2); - graph.addEdge(554, 527, 2); - graph.addEdge(554, 528, 2); - graph.addEdge(554, 529, 2); - graph.addEdge(554, 521, 2); - graph.addEdge(554, 522, 2); - graph.addEdge(554, 421, 2); - graph.addEdge(554, 442, 2); - graph.addEdge(554, 523, 2); - graph.addEdge(554, 400, 2); - graph.removeEdge(550, 398, 2); - graph.removeEdge(550, 399, 2); - graph.removeEdge(550, 440, 2); - graph.removeEdge(550, 441, 2); - graph.removeEdge(550, 518, 2); - graph.removeEdge(550, 519, 2); - graph.removeEdge(550, 251, 2); - graph.removeEdge(550, 252, 2); - graph.removeEdge(550, 217, 2); - graph.removeEdge(550, 218, 2); - graph.removeEdge(550, 241, 2); - graph.removeEdge(550, 242, 2); - graph.removeEdge(550, 355, 2); - graph.removeEdge(550, 356, 2); - graph.removeEdge(550, 432, 2); - graph.removeEdge(550, 219, 2); - graph.removeEdge(550, 366, 2); - graph.removeEdge(550, 367, 2); - graph.removeEdge(550, 220, 2); - graph.removeEdge(550, 368, 2); - graph.removeEdge(550, 253, 2); - graph.removeEdge(550, 386, 2); - graph.removeEdge(550, 520, 2); - graph.removeEdge(550, 526, 2); - graph.removeEdge(550, 527, 2); - graph.removeEdge(550, 528, 2); - graph.removeEdge(550, 529, 2); - graph.removeEdge(550, 521, 2); - graph.removeEdge(550, 522, 2); - graph.removeEdge(550, 421, 2); - graph.removeEdge(550, 442, 2); - graph.removeEdge(550, 523, 2); - graph.removeEdge(550, 400, 2); - graph.addEdge(554, 440, 1); - graph.addEdge(554, 528, 2); - graph.addEdge(554, 518, 1); - graph.addEdge(554, 526, 1); - graph.addEdge(554, 528, 1); - graph.addEdge(554, 421, 1); - graph.addEdge(554, 523, 1); - graph.addEdge(554, 165, 1); - graph.addEdge(554, 165, 2); - graph.addEdge(554, 166, 2); - graph.addEdge(554, 274, 2); - graph.addEdge(554, 275, 2); - graph.addEdge(554, 371, 2); - graph.addEdge(554, 372, 2); - graph.addEdge(554, 461, 2); - graph.addEdge(554, 462, 2); - graph.addEdge(554, 501, 2); - graph.addEdge(554, 502, 2); - graph.addEdge(554, 373, 2); - graph.addEdge(554, 481, 2); - graph.addEdge(554, 374, 2); - graph.addEdge(554, 464, 2); - graph.addEdge(554, 465, 2); - graph.addEdge(554, 375, 2); - graph.addEdge(554, 484, 2); - graph.addEdge(554, 485, 2); - graph.addEdge(554, 376, 2); - graph.addEdge(554, 486, 2); - graph.addEdge(554, 487, 2); - graph.addEdge(554, 276, 2); - graph.addEdge(554, 482, 2); - graph.addEdge(554, 277, 2); - graph.addEdge(554, 167, 2); - graph.addEdge(554, 272, 2); - graph.addEdge(554, 273, 2); - graph.addEdge(554, 369, 2); - graph.addEdge(554, 370, 2); - graph.addEdge(554, 463, 2); - graph.addEdge(554, 168, 2); - graph.addEdge(554, 278, 2); - graph.addEdge(554, 279, 2); - graph.addEdge(554, 169, 2); - graph.addEdge(554, 282, 2); - graph.addEdge(554, 283, 2); - graph.addEdge(554, 170, 2); - graph.addEdge(554, 280, 2); - graph.addEdge(554, 281, 2); - graph.removeEdge(550, 165, 2); - graph.removeEdge(550, 166, 2); - graph.removeEdge(550, 274, 2); - graph.removeEdge(550, 275, 2); - graph.removeEdge(550, 371, 2); - graph.removeEdge(550, 372, 2); - graph.removeEdge(550, 461, 2); - graph.removeEdge(550, 462, 2); - graph.removeEdge(550, 501, 2); - graph.removeEdge(550, 502, 2); - graph.removeEdge(550, 373, 2); - graph.removeEdge(550, 481, 2); - graph.removeEdge(550, 374, 2); - graph.removeEdge(550, 464, 2); - graph.removeEdge(550, 465, 2); - graph.removeEdge(550, 375, 2); - graph.removeEdge(550, 484, 2); - graph.removeEdge(550, 485, 2); - graph.removeEdge(550, 376, 2); - graph.removeEdge(550, 486, 2); - graph.removeEdge(550, 487, 2); - graph.removeEdge(550, 276, 2); - graph.removeEdge(550, 277, 2); - graph.removeEdge(550, 167, 2); - graph.removeEdge(550, 272, 2); - graph.removeEdge(550, 273, 2); - graph.removeEdge(550, 369, 2); - graph.removeEdge(550, 370, 2); - graph.removeEdge(550, 463, 2); - graph.removeEdge(550, 168, 2); - graph.removeEdge(550, 278, 2); - graph.removeEdge(550, 279, 2); - graph.removeEdge(550, 169, 2); - graph.removeEdge(550, 282, 2); - graph.removeEdge(550, 283, 2); - graph.removeEdge(550, 170, 2); - graph.removeEdge(550, 280, 2); - graph.removeEdge(550, 281, 2); - graph.addEdge(554, 274, 1); - graph.addEdge(554, 371, 2); - graph.addEdge(554, 372, 2); - graph.addEdge(554, 368, 2); - graph.addEdge(554, 373, 2); - graph.addEdge(554, 465, 2); - graph.addEdge(554, 375, 2); - graph.addEdge(554, 376, 2); - graph.addEdge(554, 377, 2); - graph.addEdge(554, 378, 2); - graph.addEdge(554, 379, 2); - // this edge already exists - assert(!graph.addEdge(532, 554, 4)); - graph.addEdge(554, 371, 1); - graph.addEdge(554, 461, 1); - graph.addEdge(554, 501, 1); - graph.addEdge(554, 481, 1); - graph.addEdge(554, 464, 1); - graph.addEdge(554, 484, 1); - graph.addEdge(554, 486, 1); - graph.addEdge(554, 272, 1); - graph.addEdge(554, 369, 2); - graph.addEdge(554, 370, 2); - graph.addEdge(554, 369, 1); - graph.addEdge(554, 463, 1); - graph.addEdge(554, 278, 1); - graph.addEdge(554, 282, 1); - graph.addEdge(554, 280, 1); - graph.addEdge(554, 353, 1); - graph.addEdge(554, 353, 2); - graph.addEdge(554, 354, 2); - graph.removeEdge(550, 353, 2); - graph.removeEdge(550, 354, 2); - graph.addEdge(554, 121, 1); - graph.addEdge(554, 121, 2); - graph.removeEdge(550, 121, 2); - graph.addEdge(554, 130, 1); - graph.addEdge(554, 130, 2); - graph.removeEdge(532, 130, 2); - graph.removeEdge(550, 130, 2); - graph.addEdge(554, 147, 1); - graph.addEdge(554, 147, 2); - graph.addEdge(554, 148, 2); - graph.addEdge(554, 268, 2); - graph.removeEdge(532, 147, 2); - graph.removeEdge(532, 148, 2); - graph.removeEdge(532, 268, 2); - graph.removeEdge(550, 147, 2); - graph.removeEdge(550, 148, 2); - graph.removeEdge(550, 268, 2); - graph.addEdge(554, 268, 1); - graph.addEdge(554, 225, 1); - graph.addEdge(554, 225, 2); - graph.addEdge(554, 226, 2); - graph.addEdge(554, 411, 2); - graph.addEdge(554, 412, 2); - graph.addEdge(554, 516, 2); - graph.addEdge(554, 413, 2); - graph.addEdge(554, 217, 2); - graph.addEdge(554, 414, 2); - graph.addEdge(554, 227, 2); - graph.addEdge(554, 415, 2); - graph.removeEdge(532, 225, 2); - graph.removeEdge(532, 226, 2); - graph.removeEdge(532, 411, 2); - graph.removeEdge(532, 412, 2); - graph.removeEdge(532, 516, 2); - graph.removeEdge(532, 413, 2); - graph.removeEdge(532, 414, 2); - graph.removeEdge(532, 227, 2); - graph.removeEdge(532, 415, 2); - graph.removeEdge(550, 225, 2); - graph.removeEdge(550, 226, 2); - graph.removeEdge(550, 411, 2); - graph.removeEdge(550, 412, 2); - graph.removeEdge(550, 516, 2); - graph.removeEdge(550, 413, 2); - graph.removeEdge(550, 414, 2); - graph.removeEdge(550, 227, 2); - graph.removeEdge(550, 415, 2); - graph.addEdge(554, 411, 1); - graph.addEdge(554, 516, 1); - graph.addEdge(554, 415, 1); - graph.addEdge(555, 41, 1); - graph.addEdge(555, 41, 2); - graph.addEdge(555, 42, 2); - graph.addEdge(555, 57, 2); - graph.addEdge(555, 58, 2); - graph.addEdge(555, 92, 2); - graph.addEdge(555, 93, 2); - graph.addEdge(555, 165, 2); - graph.addEdge(555, 166, 2); - graph.addEdge(555, 274, 2); - graph.addEdge(555, 275, 2); - graph.addEdge(555, 371, 2); - graph.addEdge(555, 372, 2); - graph.addEdge(555, 461, 2); - graph.addEdge(555, 462, 2); - graph.addEdge(555, 501, 2); - graph.addEdge(555, 502, 2); - graph.addEdge(555, 440, 2); - graph.addEdge(555, 441, 2); - graph.addEdge(555, 518, 2); - graph.addEdge(555, 519, 2); - graph.addEdge(555, 251, 2); - graph.addEdge(555, 252, 2); - graph.addEdge(555, 217, 2); - graph.addEdge(555, 218, 2); - graph.addEdge(555, 241, 2); - graph.addEdge(555, 242, 2); - graph.addEdge(555, 355, 2); - graph.addEdge(555, 356, 2); - graph.addEdge(555, 432, 2); - graph.addEdge(555, 219, 2); - graph.addEdge(555, 366, 2); - graph.addEdge(555, 367, 2); - graph.addEdge(555, 220, 2); - graph.addEdge(555, 368, 2); - graph.addEdge(555, 253, 2); - graph.addEdge(555, 386, 2); - graph.addEdge(555, 520, 2); - graph.addEdge(555, 526, 2); - graph.addEdge(555, 527, 2); - graph.addEdge(555, 528, 2); - graph.addEdge(555, 529, 2); - graph.addEdge(555, 521, 2); - graph.addEdge(555, 522, 2); - graph.addEdge(555, 421, 2); - graph.addEdge(555, 442, 2); - graph.addEdge(555, 523, 2); - graph.addEdge(555, 373, 2); - graph.addEdge(555, 481, 2); - graph.addEdge(555, 374, 2); - graph.addEdge(555, 464, 2); - graph.addEdge(555, 465, 2); - graph.addEdge(555, 375, 2); - graph.addEdge(555, 484, 2); - graph.addEdge(555, 485, 2); - graph.addEdge(555, 376, 2); - graph.addEdge(555, 486, 2); - graph.addEdge(555, 487, 2); - graph.addEdge(555, 276, 2); - graph.addEdge(555, 377, 2); - graph.addEdge(555, 378, 2); - graph.addEdge(555, 488, 2); - graph.addEdge(555, 379, 2); - graph.addEdge(555, 503, 2); - graph.addEdge(555, 504, 2); - graph.addEdge(555, 512, 2); - graph.addEdge(555, 513, 2); - graph.addEdge(555, 209, 2); - graph.addEdge(555, 380, 2); - graph.addEdge(555, 475, 2); - graph.addEdge(555, 476, 2); - graph.addEdge(555, 381, 2); - graph.addEdge(555, 482, 2); - graph.addEdge(555, 483, 2); - graph.addEdge(555, 382, 2); - graph.addEdge(555, 505, 2); - graph.addEdge(555, 506, 2); - graph.addEdge(555, 277, 2); - graph.addEdge(555, 398, 2); - graph.addEdge(555, 399, 2); - graph.addEdge(555, 400, 2); - graph.addEdge(555, 167, 2); - graph.addEdge(555, 272, 2); - graph.addEdge(555, 273, 2); - graph.addEdge(555, 369, 2); - graph.addEdge(555, 370, 2); - graph.addEdge(555, 463, 2); - graph.addEdge(555, 168, 2); - graph.addEdge(555, 278, 2); - graph.addEdge(555, 279, 2); - graph.addEdge(555, 169, 2); - graph.addEdge(555, 282, 2); - graph.addEdge(555, 283, 2); - graph.addEdge(555, 170, 2); - graph.addEdge(555, 280, 2); - graph.addEdge(555, 281, 2); - graph.addEdge(555, 94, 2); - graph.addEdge(555, 164, 2); - graph.addEdge(555, 95, 2); - graph.addEdge(555, 228, 2); - graph.addEdge(555, 59, 2); - graph.addEdge(555, 223, 2); - graph.addEdge(555, 224, 2); - graph.addEdge(555, 407, 2); - graph.addEdge(555, 408, 2); - graph.addEdge(555, 507, 2); - graph.addEdge(555, 409, 2); - graph.addEdge(555, 515, 2); - graph.addEdge(555, 410, 2); - graph.addEdge(555, 514, 2); - graph.addEdge(555, 60, 2); - graph.addEdge(555, 222, 2); - graph.addEdge(555, 61, 2); - graph.addEdge(555, 221, 2); - graph.addEdge(555, 62, 2); - graph.addEdge(555, 121, 2); - graph.addEdge(555, 63, 2); - graph.addEdge(555, 120, 2); - graph.addEdge(555, 43, 2); - graph.addEdge(555, 64, 2); - graph.addEdge(555, 65, 2); - graph.addEdge(555, 122, 2); - graph.addEdge(555, 66, 2); - graph.addEdge(555, 96, 2); - graph.addEdge(555, 97, 2); - graph.addEdge(555, 98, 2); - graph.addEdge(555, 231, 2); - graph.addEdge(555, 232, 2); - graph.addEdge(555, 427, 2); - graph.addEdge(555, 428, 2); - graph.addEdge(555, 429, 2); - graph.addEdge(555, 134, 2); - graph.addEdge(555, 233, 2); - graph.addEdge(555, 99, 2); - graph.addEdge(555, 162, 2); - graph.addEdge(555, 44, 2); - graph.addEdge(555, 85, 2); - graph.addEdge(555, 86, 2); - graph.addEdge(555, 130, 2); - graph.addEdge(555, 87, 2); - graph.addEdge(555, 147, 2); - graph.addEdge(555, 148, 2); - graph.addEdge(555, 268, 2); - graph.addEdge(555, 88, 2); - graph.addEdge(555, 225, 2); - graph.addEdge(555, 226, 2); - graph.addEdge(555, 411, 2); - graph.addEdge(555, 412, 2); - graph.addEdge(555, 516, 2); - graph.addEdge(555, 413, 2); - graph.addEdge(555, 353, 2); - graph.addEdge(555, 354, 2); - graph.addEdge(555, 414, 2); - graph.addEdge(555, 227, 2); - graph.addEdge(555, 415, 2); - graph.addEdge(555, 45, 2); - graph.addEdge(555, 67, 2); - graph.addEdge(555, 68, 2); - graph.addEdge(555, 131, 2); - graph.addEdge(555, 132, 2); - graph.addEdge(555, 133, 2); - graph.addEdge(555, 210, 2); - graph.addEdge(555, 69, 2); - graph.addEdge(535, 555, 4); - graph.removeEdge(535, 41, 2); - graph.removeEdge(535, 42, 2); - graph.removeEdge(535, 57, 2); - graph.removeEdge(535, 58, 2); - graph.removeEdge(535, 92, 2); - graph.removeEdge(535, 93, 2); - graph.removeEdge(535, 94, 2); - graph.removeEdge(535, 164, 2); - graph.removeEdge(535, 95, 2); - graph.removeEdge(535, 228, 2); - graph.removeEdge(535, 59, 2); - graph.removeEdge(535, 223, 2); - graph.removeEdge(535, 224, 2); - graph.removeEdge(535, 407, 2); - graph.removeEdge(535, 408, 2); - graph.removeEdge(535, 507, 2); - graph.removeEdge(535, 409, 2); - graph.removeEdge(535, 515, 2); - graph.removeEdge(535, 410, 2); - graph.removeEdge(535, 514, 2); - graph.removeEdge(535, 60, 2); - graph.removeEdge(535, 222, 2); - graph.removeEdge(535, 61, 2); - graph.removeEdge(535, 62, 2); - graph.removeEdge(535, 63, 2); - graph.removeEdge(535, 120, 2); - graph.removeEdge(535, 43, 2); - graph.removeEdge(535, 44, 2); - graph.removeEdge(535, 85, 2); - graph.removeEdge(535, 86, 2); - graph.removeEdge(535, 87, 2); - graph.removeEdge(535, 88, 2); - graph.removeEdge(535, 45, 2); - graph.removeEdge(535, 67, 2); - graph.removeEdge(535, 68, 2); - graph.removeEdge(535, 69, 2); - graph.addEdge(550, 555, 4); - graph.removeEdge(550, 41, 2); - graph.removeEdge(550, 42, 2); - graph.removeEdge(550, 57, 2); - graph.removeEdge(550, 58, 2); - graph.removeEdge(550, 92, 2); - graph.removeEdge(550, 93, 2); - graph.removeEdge(550, 94, 2); - graph.removeEdge(550, 164, 2); - graph.removeEdge(550, 95, 2); - graph.removeEdge(550, 228, 2); - graph.removeEdge(550, 59, 2); - graph.removeEdge(550, 223, 2); - graph.removeEdge(550, 224, 2); - graph.removeEdge(550, 407, 2); - graph.removeEdge(550, 408, 2); - graph.removeEdge(550, 507, 2); - graph.removeEdge(550, 409, 2); - graph.removeEdge(550, 515, 2); - graph.removeEdge(550, 410, 2); - graph.removeEdge(550, 514, 2); - graph.removeEdge(550, 60, 2); - graph.removeEdge(550, 222, 2); - graph.removeEdge(550, 61, 2); - graph.removeEdge(550, 221, 2); - graph.removeEdge(550, 62, 2); - graph.removeEdge(550, 63, 2); - graph.removeEdge(550, 120, 2); - graph.removeEdge(550, 43, 2); - graph.removeEdge(550, 64, 2); - graph.removeEdge(550, 65, 2); - graph.removeEdge(550, 122, 2); - graph.removeEdge(550, 66, 2); - graph.removeEdge(550, 96, 2); - graph.removeEdge(550, 97, 2); - graph.removeEdge(550, 98, 2); - graph.removeEdge(550, 231, 2); - graph.removeEdge(550, 232, 2); - graph.removeEdge(550, 427, 2); - graph.removeEdge(550, 428, 2); - graph.removeEdge(550, 429, 2); - graph.removeEdge(550, 134, 2); - graph.removeEdge(550, 233, 2); - graph.removeEdge(550, 99, 2); - graph.removeEdge(550, 162, 2); - graph.removeEdge(550, 44, 2); - graph.removeEdge(550, 85, 2); - graph.removeEdge(550, 86, 2); - graph.removeEdge(550, 87, 2); - graph.removeEdge(550, 88, 2); - graph.removeEdge(550, 45, 2); - graph.removeEdge(550, 67, 2); - graph.removeEdge(550, 68, 2); - graph.removeEdge(550, 131, 2); - graph.removeEdge(550, 132, 2); - graph.removeEdge(550, 133, 2); - graph.removeEdge(550, 210, 2); - graph.removeEdge(550, 69, 2); - graph.addEdge(555, 57, 1); - graph.addEdge(555, 92, 2); - graph.addEdge(555, 93, 2); - graph.addEdge(555, 166, 2); - graph.addEdge(555, 355, 2); - graph.addEdge(555, 486, 2); - graph.addEdge(555, 487, 2); - graph.addEdge(555, 209, 2); - graph.addEdge(555, 92, 1); - graph.addEdge(555, 164, 1); - graph.addEdge(555, 228, 1); - graph.addEdge(555, 223, 1); - graph.addEdge(555, 407, 1); - graph.addEdge(555, 507, 1); - graph.addEdge(555, 515, 1); - graph.addEdge(555, 514, 1); - graph.addEdge(555, 222, 1); - graph.addEdge(555, 120, 1); - graph.addEdge(555, 67, 1); - graph.addEdge(556, 39, 1); - graph.addEdge(556, 39, 2); - graph.addEdge(556, 40, 2); - graph.addEdge(556, 179, 2); - graph.addEdge(556, 180, 2); - graph.addEdge(556, 292, 2); - graph.addEdge(556, 293, 2); - graph.addEdge(556, 377, 2); - graph.addEdge(556, 378, 2); - graph.addEdge(556, 488, 2); - graph.addEdge(556, 379, 2); - graph.addEdge(556, 503, 2); - graph.addEdge(556, 504, 2); - graph.addEdge(556, 512, 2); - graph.addEdge(556, 513, 2); - graph.addEdge(556, 209, 2); - graph.addEdge(556, 380, 2); - graph.addEdge(556, 475, 2); - graph.addEdge(556, 476, 2); - graph.addEdge(556, 381, 2); - graph.addEdge(556, 482, 2); - graph.addEdge(556, 483, 2); - graph.addEdge(556, 382, 2); - graph.addEdge(556, 505, 2); - graph.addEdge(556, 506, 2); - graph.addEdge(556, 294, 2); - graph.addEdge(556, 467, 2); - graph.addEdge(556, 468, 2); - graph.addEdge(556, 295, 2); - graph.addEdge(556, 452, 2); - graph.addEdge(556, 296, 2); - graph.addEdge(556, 466, 2); - graph.addEdge(556, 297, 2); - graph.addEdge(556, 451, 2); - graph.addEdge(556, 298, 2); - graph.addEdge(556, 447, 2); - graph.addEdge(556, 448, 2); - graph.addEdge(556, 449, 2); - graph.addEdge(556, 398, 2); - graph.addEdge(556, 399, 2); - graph.addEdge(556, 440, 2); - graph.addEdge(556, 441, 2); - graph.addEdge(556, 518, 2); - graph.addEdge(556, 519, 2); - graph.addEdge(556, 251, 2); - graph.addEdge(556, 252, 2); - graph.addEdge(556, 217, 2); - graph.addEdge(556, 218, 2); - graph.addEdge(556, 241, 2); - graph.addEdge(556, 242, 2); - graph.addEdge(556, 355, 2); - graph.addEdge(556, 356, 2); - graph.addEdge(556, 432, 2); - graph.addEdge(556, 219, 2); - graph.addEdge(556, 366, 2); - graph.addEdge(556, 367, 2); - graph.addEdge(556, 220, 2); - graph.addEdge(556, 368, 2); - graph.addEdge(556, 253, 2); - graph.addEdge(556, 386, 2); - graph.addEdge(556, 520, 2); - graph.addEdge(556, 526, 2); - graph.addEdge(556, 527, 2); - graph.addEdge(556, 528, 2); - graph.addEdge(556, 529, 2); - graph.addEdge(556, 521, 2); - graph.addEdge(556, 522, 2); - graph.addEdge(556, 421, 2); - graph.addEdge(556, 442, 2); - graph.addEdge(556, 523, 2); - graph.addEdge(556, 400, 2); - graph.addEdge(556, 450, 2); - graph.addEdge(556, 165, 2); - graph.addEdge(556, 166, 2); - graph.addEdge(556, 274, 2); - graph.addEdge(556, 275, 2); - graph.addEdge(556, 371, 2); - graph.addEdge(556, 372, 2); - graph.addEdge(556, 461, 2); - graph.addEdge(556, 462, 2); - graph.addEdge(556, 501, 2); - graph.addEdge(556, 502, 2); - graph.addEdge(556, 373, 2); - graph.addEdge(556, 481, 2); - graph.addEdge(556, 374, 2); - graph.addEdge(556, 464, 2); - graph.addEdge(556, 465, 2); - graph.addEdge(556, 375, 2); - graph.addEdge(556, 484, 2); - graph.addEdge(556, 485, 2); - graph.addEdge(556, 376, 2); - graph.addEdge(556, 486, 2); - graph.addEdge(556, 487, 2); - graph.addEdge(556, 276, 2); - graph.addEdge(556, 277, 2); - graph.addEdge(556, 167, 2); - graph.addEdge(556, 272, 2); - graph.addEdge(556, 273, 2); - graph.addEdge(556, 369, 2); - graph.addEdge(556, 370, 2); - graph.addEdge(556, 463, 2); - graph.addEdge(556, 168, 2); - graph.addEdge(556, 278, 2); - graph.addEdge(556, 279, 2); - graph.addEdge(556, 169, 2); - graph.addEdge(556, 282, 2); - graph.addEdge(556, 283, 2); - graph.addEdge(556, 170, 2); - graph.addEdge(556, 280, 2); - graph.addEdge(556, 281, 2); - graph.addEdge(556, 181, 2); - graph.addEdge(556, 320, 2); - graph.addEdge(556, 182, 2); - graph.addEdge(556, 123, 2); - graph.addEdge(556, 124, 2); - graph.addEdge(556, 229, 2); - graph.addEdge(556, 230, 2); - graph.addEdge(556, 353, 2); - graph.addEdge(556, 354, 2); - graph.addEdge(556, 125, 2); - graph.addEdge(556, 183, 2); - graph.addEdge(556, 289, 2); - graph.addEdge(556, 290, 2); - graph.addEdge(556, 89, 2); - graph.addEdge(556, 90, 2); - graph.addEdge(556, 91, 2); - graph.addEdge(556, 291, 2); - graph.addEdge(556, 126, 2); - graph.addEdge(556, 127, 2); - graph.addEdge(556, 202, 2); - graph.addEdge(556, 203, 2); - graph.addEdge(556, 307, 2); - graph.addEdge(556, 204, 2); - graph.addEdge(556, 231, 2); - graph.addEdge(556, 232, 2); - graph.addEdge(556, 427, 2); - graph.addEdge(556, 428, 2); - graph.addEdge(556, 429, 2); - graph.addEdge(556, 134, 2); - graph.addEdge(556, 233, 2); - graph.addEdge(556, 205, 2); - graph.addEdge(556, 162, 2); - graph.addEdge(556, 206, 2); - graph.addEdge(556, 383, 2); - graph.addEdge(556, 384, 2); - graph.addEdge(556, 385, 2); - graph.addEdge(556, 474, 2); - graph.addEdge(556, 207, 2); - graph.addEdge(556, 323, 2); - graph.addEdge(556, 208, 2); - graph.addEdge(556, 308, 2); - graph.addEdge(556, 309, 2); - graph.addEdge(556, 403, 2); - graph.addEdge(556, 404, 2); - graph.addEdge(556, 405, 2); - graph.addEdge(556, 210, 2); - graph.addEdge(556, 406, 2); - graph.addEdge(556, 310, 2); - graph.addEdge(556, 121, 2); - graph.addEdge(556, 311, 2); - graph.addEdge(556, 401, 2); - graph.addEdge(556, 402, 2); - graph.addEdge(556, 128, 2); - graph.addEdge(556, 173, 2); - graph.addEdge(556, 174, 2); - graph.addEdge(556, 163, 2); - graph.addEdge(556, 175, 2); - graph.addEdge(556, 305, 2); - graph.addEdge(556, 306, 2); - graph.addEdge(556, 391, 2); - graph.addEdge(556, 129, 2); - graph.addEdge(556, 131, 2); - graph.addEdge(556, 132, 2); - graph.addEdge(556, 133, 2); - graph.addEdge(556, 184, 2); - graph.addEdge(556, 302, 2); - graph.addEdge(556, 303, 2); - graph.addEdge(556, 304, 2); - graph.addEdge(556, 211, 2); - graph.addEdge(556, 212, 2); - graph.addEdge(556, 213, 2); - graph.addEdge(556, 332, 2); - graph.addEdge(556, 333, 2); - graph.addEdge(556, 334, 2); - graph.addEdge(556, 335, 2); - graph.addEdge(556, 397, 2); - graph.addEdge(556, 214, 2); - graph.addEdge(556, 185, 2); - graph.addEdge(556, 284, 2); - graph.addEdge(556, 285, 2); - graph.addEdge(556, 186, 2); - graph.addEdge(556, 322, 2); - graph.addEdge(556, 187, 2); - graph.addEdge(556, 286, 2); - graph.addEdge(556, 287, 2); - graph.addEdge(556, 288, 2); - graph.addEdge(556, 416, 2); - graph.addEdge(556, 417, 2); - graph.addEdge(556, 517, 2); - graph.addEdge(556, 418, 2); - graph.addEdge(556, 327, 2); - graph.addEdge(556, 188, 2); - graph.addEdge(556, 344, 2); - graph.addEdge(556, 345, 2); - graph.addEdge(556, 346, 2); - graph.addEdge(556, 236, 2); - graph.addEdge(556, 237, 2); - graph.addEdge(556, 122, 2); - graph.addEdge(556, 238, 2); - graph.addEdge(556, 254, 2); - graph.addEdge(556, 255, 2); - graph.addEdge(556, 239, 2); - graph.addEdge(556, 240, 2); - graph.addEdge(556, 189, 2); - graph.addEdge(556, 312, 2); - graph.addEdge(556, 313, 2); - graph.addEdge(556, 159, 2); - graph.addEdge(556, 160, 2); - graph.addEdge(556, 161, 2); - graph.addEdge(556, 314, 2); - graph.addEdge(556, 315, 2); - graph.addEdge(556, 190, 2); - graph.addEdge(556, 107, 2); - graph.addEdge(556, 108, 2); - graph.addEdge(556, 109, 2); - graph.addEdge(556, 110, 2); - graph.addEdge(556, 191, 2); - graph.addEdge(556, 336, 2); - graph.addEdge(556, 337, 2); - graph.addEdge(556, 471, 2); - graph.addEdge(556, 472, 2); - graph.addEdge(556, 473, 2); - graph.addEdge(556, 338, 2); - graph.addEdge(556, 339, 2); - graph.addEdge(556, 489, 2); - graph.addEdge(556, 490, 2); - graph.addEdge(556, 491, 2); - graph.addEdge(556, 340, 2); - graph.addEdge(556, 422, 2); - graph.addEdge(556, 423, 2); - graph.addEdge(556, 424, 2); - graph.addEdge(556, 341, 2); - graph.addEdge(556, 494, 2); - graph.addEdge(556, 495, 2); - graph.addEdge(556, 496, 2); - graph.addEdge(556, 342, 2); - graph.addEdge(556, 343, 2); - graph.addEdge(556, 192, 2); - graph.addEdge(556, 321, 2); - graph.addEdge(556, 193, 2); - graph.addEdge(556, 347, 2); - graph.addEdge(556, 348, 2); - graph.addEdge(556, 469, 2); - graph.addEdge(556, 470, 2); - graph.addEdge(556, 508, 2); - graph.addEdge(556, 509, 2); - graph.addEdge(556, 349, 2); - graph.addEdge(556, 419, 2); - graph.addEdge(556, 420, 2); - graph.addEdge(556, 350, 2); - graph.addEdge(556, 497, 2); - graph.addEdge(556, 351, 2); - graph.addEdge(556, 425, 2); - graph.addEdge(556, 426, 2); - graph.addEdge(556, 352, 2); - graph.addEdge(556, 492, 2); - graph.addEdge(556, 493, 2); - graph.addEdge(556, 194, 2); - graph.addEdge(556, 316, 2); - graph.addEdge(556, 317, 2); - graph.addEdge(556, 392, 2); - graph.addEdge(556, 393, 2); - graph.addEdge(556, 318, 2); - graph.addEdge(556, 319, 2); - graph.addEdge(556, 195, 2); - graph.addEdge(556, 196, 2); - graph.addEdge(556, 197, 2); - graph.addEdge(556, 387, 2); - graph.addEdge(556, 388, 2); - graph.addEdge(556, 498, 2); - graph.addEdge(556, 499, 2); - graph.addEdge(556, 500, 2); - graph.addEdge(556, 389, 2); - graph.addEdge(556, 390, 2); - graph.addEdge(556, 198, 2); - graph.addEdge(556, 199, 2); - graph.addEdge(556, 328, 2); - graph.addEdge(556, 329, 2); - graph.addEdge(556, 394, 2); - graph.addEdge(556, 395, 2); - graph.addEdge(556, 396, 2); - graph.addEdge(556, 330, 2); - graph.addEdge(556, 331, 2); - graph.addEdge(556, 200, 2); - graph.addEdge(556, 201, 2); - graph.addEdge(532, 556, 4); - graph.removeEdge(532, 39, 2); - graph.removeEdge(532, 40, 2); - graph.addEdge(535, 556, 4); - graph.removeEdge(535, 39, 2); - graph.removeEdge(535, 40, 2); - graph.addEdge(557, 176, 1); - graph.addEdge(557, 176, 2); - graph.addEdge(557, 177, 2); - graph.addEdge(557, 299, 2); - graph.addEdge(557, 300, 2); - graph.addEdge(557, 269, 2); - graph.addEdge(557, 270, 2); - graph.addEdge(557, 430, 2); - graph.addEdge(557, 431, 2); - graph.addEdge(557, 477, 2); - graph.addEdge(557, 478, 2); - graph.addEdge(557, 510, 2); - graph.addEdge(557, 511, 2); - graph.addEdge(557, 525, 2); - graph.addEdge(557, 479, 2); - graph.addEdge(557, 386, 2); - graph.addEdge(557, 480, 2); - graph.addEdge(557, 324, 2); - graph.addEdge(557, 325, 2); - graph.addEdge(557, 217, 2); - graph.addEdge(557, 218, 2); - graph.addEdge(557, 241, 2); - graph.addEdge(557, 242, 2); - graph.addEdge(557, 355, 2); - graph.addEdge(557, 356, 2); - graph.addEdge(557, 432, 2); - graph.addEdge(557, 219, 2); - graph.addEdge(557, 366, 2); - graph.addEdge(557, 367, 2); - graph.addEdge(557, 220, 2); - graph.addEdge(557, 368, 2); - graph.addEdge(557, 326, 2); - graph.addEdge(557, 134, 2); - graph.addEdge(557, 301, 2); - graph.addEdge(557, 444, 2); - graph.addEdge(557, 445, 2); - graph.addEdge(557, 524, 2); - graph.addEdge(557, 446, 2); - graph.addEdge(557, 178, 2); - graph.addEdge(557, 243, 2); - graph.addEdge(557, 244, 2); - graph.addEdge(557, 209, 2); - graph.addEdge(557, 245, 2); - graph.addEdge(557, 131, 2); - graph.addEdge(557, 132, 2); - graph.addEdge(557, 251, 2); - graph.addEdge(557, 252, 2); - graph.addEdge(557, 253, 2); - graph.addEdge(557, 133, 2); - graph.addEdge(557, 210, 2); - graph.addEdge(557, 246, 2); - graph.addEdge(557, 323, 2); - graph.addEdge(557, 247, 2); - graph.addEdge(547, 557, 4); - graph.removeEdge(547, 176, 2); - graph.removeEdge(547, 177, 2); - graph.removeEdge(547, 299, 2); - graph.removeEdge(547, 300, 2); - graph.removeEdge(547, 269, 2); - graph.removeEdge(547, 270, 2); - graph.removeEdge(547, 430, 2); - graph.removeEdge(547, 431, 2); - graph.removeEdge(547, 477, 2); - graph.removeEdge(547, 478, 2); - graph.removeEdge(547, 510, 2); - graph.removeEdge(547, 511, 2); - graph.removeEdge(547, 525, 2); - graph.removeEdge(547, 479, 2); - graph.removeEdge(547, 386, 2); - graph.removeEdge(547, 480, 2); - graph.removeEdge(547, 324, 2); - graph.removeEdge(547, 325, 2); - graph.removeEdge(547, 217, 2); - graph.removeEdge(547, 218, 2); - graph.removeEdge(547, 241, 2); - graph.removeEdge(547, 242, 2); - graph.removeEdge(547, 355, 2); - graph.removeEdge(547, 356, 2); - graph.removeEdge(547, 432, 2); - graph.removeEdge(547, 219, 2); - graph.removeEdge(547, 366, 2); - graph.removeEdge(547, 367, 2); - graph.removeEdge(547, 220, 2); - graph.removeEdge(547, 368, 2); - graph.removeEdge(547, 326, 2); - graph.removeEdge(547, 134, 2); - graph.removeEdge(547, 301, 2); - graph.removeEdge(547, 444, 2); - graph.removeEdge(547, 445, 2); - graph.removeEdge(547, 524, 2); - graph.removeEdge(547, 446, 2); - graph.removeEdge(547, 178, 2); - graph.removeEdge(547, 243, 2); - graph.removeEdge(547, 244, 2); - graph.removeEdge(547, 209, 2); - graph.removeEdge(547, 245, 2); - graph.removeEdge(547, 131, 2); - graph.removeEdge(547, 132, 2); - graph.removeEdge(547, 251, 2); - graph.removeEdge(547, 252, 2); - graph.removeEdge(547, 253, 2); - graph.removeEdge(547, 133, 2); - graph.removeEdge(547, 210, 2); - graph.removeEdge(547, 246, 2); - graph.removeEdge(547, 323, 2); - graph.removeEdge(547, 247, 2); - graph.addEdge(550, 557, 4); - graph.removeEdge(550, 176, 2); - graph.removeEdge(550, 177, 2); - graph.removeEdge(550, 299, 2); - graph.removeEdge(550, 300, 2); - graph.removeEdge(550, 269, 2); - graph.removeEdge(550, 270, 2); - graph.removeEdge(550, 430, 2); - graph.removeEdge(550, 431, 2); - graph.removeEdge(550, 477, 2); - graph.removeEdge(550, 478, 2); - graph.removeEdge(550, 510, 2); - graph.removeEdge(550, 511, 2); - graph.removeEdge(550, 525, 2); - graph.removeEdge(550, 479, 2); - graph.removeEdge(550, 480, 2); - graph.removeEdge(550, 324, 2); - graph.removeEdge(550, 325, 2); - graph.removeEdge(550, 326, 2); - graph.removeEdge(550, 301, 2); - graph.removeEdge(550, 444, 2); - graph.removeEdge(550, 445, 2); - graph.removeEdge(550, 524, 2); - graph.removeEdge(550, 446, 2); - graph.removeEdge(550, 178, 2); - graph.removeEdge(550, 243, 2); - graph.removeEdge(550, 244, 2); - graph.removeEdge(550, 245, 2); - graph.removeEdge(550, 246, 2); - graph.removeEdge(550, 323, 2); - graph.removeEdge(550, 247, 2); - graph.addEdge(557, 299, 1); - graph.addEdge(557, 510, 2); - graph.addEdge(557, 217, 2); - graph.addEdge(557, 355, 2); - graph.addEdge(557, 444, 1); - graph.addEdge(557, 524, 1); - graph.addEdge(558, 269, 1); - graph.addEdge(558, 269, 2); - graph.addEdge(558, 270, 2); - graph.addEdge(558, 430, 2); - graph.addEdge(558, 431, 2); - graph.addEdge(558, 477, 2); - graph.addEdge(558, 478, 2); - graph.addEdge(558, 510, 2); - graph.addEdge(558, 511, 2); - graph.addEdge(558, 525, 2); - graph.addEdge(558, 479, 2); - graph.addEdge(558, 386, 2); - graph.addEdge(558, 480, 2); - graph.addEdge(558, 324, 2); - graph.addEdge(558, 325, 2); - graph.addEdge(558, 217, 2); - graph.addEdge(558, 218, 2); - graph.addEdge(558, 241, 2); - graph.addEdge(558, 242, 2); - graph.addEdge(558, 355, 2); - graph.addEdge(558, 356, 2); - graph.addEdge(558, 432, 2); - graph.addEdge(558, 219, 2); - graph.addEdge(558, 366, 2); - graph.addEdge(558, 367, 2); - graph.addEdge(558, 220, 2); - graph.addEdge(558, 368, 2); - graph.addEdge(558, 326, 2); - graph.addEdge(558, 134, 2); - graph.addEdge(544, 558, 4); - graph.removeEdge(544, 269, 2); - graph.removeEdge(544, 270, 2); - graph.removeEdge(544, 430, 2); - graph.removeEdge(544, 431, 2); - graph.removeEdge(544, 477, 2); - graph.removeEdge(544, 478, 2); - graph.removeEdge(544, 510, 2); - graph.removeEdge(544, 511, 2); - graph.removeEdge(544, 525, 2); - graph.removeEdge(544, 479, 2); - graph.removeEdge(544, 386, 2); - graph.removeEdge(544, 480, 2); - graph.removeEdge(544, 324, 2); - graph.removeEdge(544, 325, 2); - graph.removeEdge(544, 217, 2); - graph.removeEdge(544, 218, 2); - graph.removeEdge(544, 241, 2); - graph.removeEdge(544, 242, 2); - graph.removeEdge(544, 355, 2); - graph.removeEdge(544, 356, 2); - graph.removeEdge(544, 432, 2); - graph.removeEdge(544, 219, 2); - graph.removeEdge(544, 366, 2); - graph.removeEdge(544, 367, 2); - graph.removeEdge(544, 220, 2); - graph.removeEdge(544, 368, 2); - graph.removeEdge(544, 326, 2); - graph.removeEdge(544, 134, 2); - graph.addEdge(547, 558, 4); - graph.addEdge(550, 558, 4); - graph.addEdge(558, 430, 1); - graph.addEdge(558, 355, 2); - graph.addEdge(558, 356, 2); - graph.addEdge(558, 477, 1); - graph.addEdge(558, 510, 1); - graph.addEdge(558, 525, 1); - graph.removeEdge(556, 179, 2); - graph.removeEdge(556, 180, 2); - graph.removeEdge(556, 292, 2); - graph.removeEdge(556, 293, 2); - graph.removeEdge(556, 377, 2); - graph.removeEdge(556, 378, 2); - graph.removeEdge(556, 488, 2); - graph.removeEdge(556, 379, 2); - graph.removeEdge(556, 503, 2); - graph.removeEdge(556, 504, 2); - graph.removeEdge(556, 512, 2); - graph.removeEdge(556, 513, 2); - graph.removeEdge(556, 209, 2); - graph.removeEdge(556, 380, 2); - graph.removeEdge(556, 475, 2); - graph.removeEdge(556, 476, 2); - graph.removeEdge(556, 381, 2); - graph.removeEdge(556, 482, 2); - graph.removeEdge(556, 483, 2); - graph.removeEdge(556, 382, 2); - graph.removeEdge(556, 505, 2); - graph.removeEdge(556, 506, 2); - graph.removeEdge(556, 294, 2); - graph.removeEdge(556, 467, 2); - graph.removeEdge(556, 468, 2); - graph.removeEdge(556, 295, 2); - graph.removeEdge(556, 452, 2); - graph.removeEdge(556, 296, 2); - graph.removeEdge(556, 466, 2); - graph.removeEdge(556, 297, 2); - graph.removeEdge(556, 451, 2); - graph.removeEdge(556, 298, 2); - graph.removeEdge(556, 447, 2); - graph.removeEdge(556, 448, 2); - graph.removeEdge(556, 449, 2); - graph.removeEdge(556, 398, 2); - graph.removeEdge(556, 399, 2); - graph.removeEdge(556, 440, 2); - graph.removeEdge(556, 441, 2); - graph.removeEdge(556, 518, 2); - graph.removeEdge(556, 519, 2); - graph.removeEdge(556, 251, 2); - graph.removeEdge(556, 252, 2); - graph.removeEdge(556, 217, 2); - graph.removeEdge(556, 218, 2); - graph.removeEdge(556, 241, 2); - graph.removeEdge(556, 242, 2); - graph.removeEdge(556, 355, 2); - graph.removeEdge(556, 356, 2); - graph.removeEdge(556, 432, 2); - graph.removeEdge(556, 219, 2); - graph.removeEdge(556, 366, 2); - graph.removeEdge(556, 367, 2); - graph.removeEdge(556, 220, 2); - graph.removeEdge(556, 368, 2); - graph.removeEdge(556, 253, 2); - graph.removeEdge(556, 386, 2); - graph.removeEdge(556, 520, 2); - graph.removeEdge(556, 526, 2); - graph.removeEdge(556, 527, 2); - graph.removeEdge(556, 528, 2); - graph.removeEdge(556, 529, 2); - graph.removeEdge(556, 521, 2); - graph.removeEdge(556, 522, 2); - graph.removeEdge(556, 421, 2); - graph.removeEdge(556, 442, 2); - graph.removeEdge(556, 523, 2); - graph.removeEdge(556, 400, 2); - graph.removeEdge(556, 450, 2); - graph.removeEdge(556, 165, 2); - graph.removeEdge(556, 166, 2); - graph.removeEdge(556, 274, 2); - graph.removeEdge(556, 275, 2); - graph.removeEdge(556, 371, 2); - graph.removeEdge(556, 372, 2); - graph.removeEdge(556, 461, 2); - graph.removeEdge(556, 462, 2); - graph.removeEdge(556, 501, 2); - graph.removeEdge(556, 502, 2); - graph.removeEdge(556, 373, 2); - graph.removeEdge(556, 481, 2); - graph.removeEdge(556, 374, 2); - graph.removeEdge(556, 464, 2); - graph.removeEdge(556, 465, 2); - graph.removeEdge(556, 375, 2); - graph.removeEdge(556, 484, 2); - graph.removeEdge(556, 485, 2); - graph.removeEdge(556, 376, 2); - graph.removeEdge(556, 486, 2); - graph.removeEdge(556, 487, 2); - graph.removeEdge(556, 276, 2); - graph.removeEdge(556, 277, 2); - graph.removeEdge(556, 167, 2); - graph.removeEdge(556, 272, 2); - graph.removeEdge(556, 273, 2); - graph.removeEdge(556, 369, 2); - graph.removeEdge(556, 370, 2); - graph.removeEdge(556, 463, 2); - graph.removeEdge(556, 168, 2); - graph.removeEdge(556, 278, 2); - graph.removeEdge(556, 279, 2); - graph.removeEdge(556, 169, 2); - graph.removeEdge(556, 282, 2); - graph.removeEdge(556, 283, 2); - graph.removeEdge(556, 170, 2); - graph.removeEdge(556, 280, 2); - graph.removeEdge(556, 281, 2); - graph.removeEdge(556, 181, 2); - graph.removeEdge(556, 320, 2); - graph.removeEdge(556, 182, 2); - graph.removeEdge(556, 123, 2); - graph.removeEdge(556, 124, 2); - graph.removeEdge(556, 229, 2); - graph.removeEdge(556, 230, 2); - graph.removeEdge(556, 353, 2); - graph.removeEdge(556, 354, 2); - graph.removeEdge(556, 125, 2); - graph.removeEdge(556, 183, 2); - graph.removeEdge(556, 289, 2); - graph.removeEdge(556, 290, 2); - graph.removeEdge(556, 89, 2); - graph.removeEdge(556, 90, 2); - graph.removeEdge(556, 91, 2); - graph.removeEdge(556, 291, 2); - graph.removeEdge(556, 126, 2); - graph.removeEdge(556, 127, 2); - graph.removeEdge(556, 202, 2); - graph.removeEdge(556, 203, 2); - graph.removeEdge(556, 307, 2); - graph.removeEdge(556, 204, 2); - graph.removeEdge(556, 231, 2); - graph.removeEdge(556, 232, 2); - graph.removeEdge(556, 427, 2); - graph.removeEdge(556, 428, 2); - graph.removeEdge(556, 429, 2); - graph.removeEdge(556, 134, 2); - graph.removeEdge(556, 233, 2); - graph.removeEdge(556, 205, 2); - graph.removeEdge(556, 162, 2); - graph.removeEdge(556, 206, 2); - graph.removeEdge(556, 383, 2); - graph.removeEdge(556, 384, 2); - graph.removeEdge(556, 385, 2); - graph.removeEdge(556, 474, 2); - graph.removeEdge(556, 207, 2); - graph.removeEdge(556, 323, 2); - graph.removeEdge(556, 208, 2); - graph.removeEdge(556, 308, 2); - graph.removeEdge(556, 309, 2); - graph.removeEdge(556, 403, 2); - graph.removeEdge(556, 404, 2); - graph.removeEdge(556, 405, 2); - graph.removeEdge(556, 210, 2); - graph.removeEdge(556, 406, 2); - graph.removeEdge(556, 310, 2); - graph.removeEdge(556, 121, 2); - graph.removeEdge(556, 311, 2); - graph.removeEdge(556, 401, 2); - graph.removeEdge(556, 402, 2); - graph.removeEdge(556, 128, 2); - graph.removeEdge(556, 173, 2); - graph.removeEdge(556, 174, 2); - graph.removeEdge(556, 163, 2); - graph.removeEdge(556, 175, 2); - graph.removeEdge(556, 305, 2); - graph.removeEdge(556, 306, 2); - graph.removeEdge(556, 391, 2); - graph.removeEdge(556, 129, 2); - graph.removeEdge(556, 131, 2); - graph.removeEdge(556, 132, 2); - graph.removeEdge(556, 133, 2); - graph.removeEdge(556, 184, 2); - graph.removeEdge(556, 302, 2); - graph.removeEdge(556, 303, 2); - graph.removeEdge(556, 304, 2); - graph.removeEdge(556, 211, 2); - graph.removeEdge(556, 212, 2); - graph.removeEdge(556, 213, 2); - graph.removeEdge(556, 332, 2); - graph.removeEdge(556, 333, 2); - graph.removeEdge(556, 334, 2); - graph.removeEdge(556, 335, 2); - graph.removeEdge(556, 397, 2); - graph.removeEdge(556, 214, 2); - graph.removeEdge(556, 185, 2); - graph.removeEdge(556, 284, 2); - graph.removeEdge(556, 285, 2); - graph.removeEdge(556, 186, 2); - graph.removeEdge(556, 322, 2); - graph.removeEdge(556, 187, 2); - graph.removeEdge(556, 286, 2); - graph.removeEdge(556, 287, 2); - graph.removeEdge(556, 288, 2); - graph.removeEdge(556, 416, 2); - graph.removeEdge(556, 417, 2); - graph.removeEdge(556, 517, 2); - graph.removeEdge(556, 418, 2); - graph.removeEdge(556, 327, 2); - graph.removeEdge(556, 188, 2); - graph.removeEdge(556, 344, 2); - graph.removeEdge(556, 345, 2); - graph.removeEdge(556, 346, 2); - graph.removeEdge(556, 236, 2); - graph.removeEdge(556, 237, 2); - graph.removeEdge(556, 122, 2); - graph.removeEdge(556, 238, 2); - graph.removeEdge(556, 254, 2); - graph.removeEdge(556, 255, 2); - graph.removeEdge(556, 239, 2); - graph.removeEdge(556, 240, 2); - graph.removeEdge(556, 189, 2); - graph.removeEdge(556, 312, 2); - graph.removeEdge(556, 313, 2); - graph.removeEdge(556, 159, 2); - graph.removeEdge(556, 160, 2); - graph.removeEdge(556, 161, 2); - graph.removeEdge(556, 314, 2); - graph.removeEdge(556, 315, 2); - graph.removeEdge(556, 190, 2); - graph.removeEdge(556, 107, 2); - graph.removeEdge(556, 108, 2); - graph.removeEdge(556, 109, 2); - graph.removeEdge(556, 110, 2); - graph.removeEdge(556, 191, 2); - graph.removeEdge(556, 336, 2); - graph.removeEdge(556, 337, 2); - graph.removeEdge(556, 471, 2); - graph.removeEdge(556, 472, 2); - graph.removeEdge(556, 473, 2); - graph.removeEdge(556, 338, 2); - graph.removeEdge(556, 339, 2); - graph.removeEdge(556, 489, 2); - graph.removeEdge(556, 490, 2); - graph.removeEdge(556, 491, 2); - graph.removeEdge(556, 340, 2); - graph.removeEdge(556, 422, 2); - graph.removeEdge(556, 423, 2); - graph.removeEdge(556, 424, 2); - graph.removeEdge(556, 341, 2); - graph.removeEdge(556, 494, 2); - graph.removeEdge(556, 495, 2); - graph.removeEdge(556, 496, 2); - graph.removeEdge(556, 342, 2); - graph.removeEdge(556, 343, 2); - graph.removeEdge(556, 192, 2); - graph.removeEdge(556, 321, 2); - graph.removeEdge(556, 193, 2); - graph.removeEdge(556, 347, 2); - graph.removeEdge(556, 348, 2); - graph.removeEdge(556, 469, 2); - graph.removeEdge(556, 470, 2); - graph.removeEdge(556, 508, 2); - graph.removeEdge(556, 509, 2); - graph.removeEdge(556, 349, 2); - graph.removeEdge(556, 419, 2); - graph.removeEdge(556, 420, 2); - graph.removeEdge(556, 350, 2); - graph.removeEdge(556, 497, 2); - graph.removeEdge(556, 351, 2); - graph.removeEdge(556, 425, 2); - graph.removeEdge(556, 426, 2); - graph.removeEdge(556, 352, 2); - graph.removeEdge(556, 492, 2); - graph.removeEdge(556, 493, 2); - graph.removeEdge(556, 194, 2); - graph.removeEdge(556, 316, 2); - graph.removeEdge(556, 317, 2); - graph.removeEdge(556, 392, 2); - graph.removeEdge(556, 393, 2); - graph.removeEdge(556, 318, 2); - graph.removeEdge(556, 319, 2); - graph.removeEdge(556, 195, 2); - graph.removeEdge(556, 196, 2); - graph.removeEdge(556, 197, 2); - graph.removeEdge(556, 387, 2); - graph.removeEdge(556, 388, 2); - graph.removeEdge(556, 498, 2); - graph.removeEdge(556, 499, 2); - graph.removeEdge(556, 500, 2); - graph.removeEdge(556, 389, 2); - graph.removeEdge(556, 390, 2); - graph.removeEdge(556, 198, 2); - graph.removeEdge(556, 199, 2); - graph.removeEdge(556, 328, 2); - graph.removeEdge(556, 329, 2); - graph.removeEdge(556, 394, 2); - graph.removeEdge(556, 395, 2); - graph.removeEdge(556, 396, 2); - graph.removeEdge(556, 330, 2); - graph.removeEdge(556, 331, 2); - graph.removeEdge(556, 200, 2); - graph.removeEdge(556, 201, 2); - graph.removeEdge(552, 179, 2); - graph.removeEdge(552, 180, 2); - graph.removeEdge(552, 292, 2); - graph.removeEdge(552, 293, 2); - graph.removeEdge(552, 377, 2); - graph.removeEdge(552, 378, 2); - graph.removeEdge(552, 488, 2); - graph.removeEdge(552, 379, 2); - graph.removeEdge(552, 503, 2); - graph.removeEdge(552, 504, 2); - graph.removeEdge(552, 512, 2); - graph.removeEdge(552, 513, 2); - graph.removeEdge(552, 209, 2); - graph.removeEdge(552, 380, 2); - graph.removeEdge(552, 475, 2); - graph.removeEdge(552, 476, 2); - graph.removeEdge(552, 381, 2); - graph.removeEdge(552, 482, 2); - graph.removeEdge(552, 483, 2); - graph.removeEdge(552, 382, 2); - graph.removeEdge(552, 505, 2); - graph.removeEdge(552, 506, 2); - graph.removeEdge(552, 294, 2); - graph.removeEdge(552, 467, 2); - graph.removeEdge(552, 468, 2); - graph.removeEdge(552, 295, 2); - graph.removeEdge(552, 452, 2); - graph.removeEdge(552, 296, 2); - graph.removeEdge(552, 466, 2); - graph.removeEdge(552, 297, 2); - graph.removeEdge(552, 451, 2); - graph.removeEdge(552, 298, 2); - graph.removeEdge(552, 447, 2); - graph.removeEdge(552, 448, 2); - graph.removeEdge(552, 449, 2); - graph.removeEdge(552, 398, 2); - graph.removeEdge(552, 399, 2); - graph.removeEdge(552, 440, 2); - graph.removeEdge(552, 441, 2); - graph.removeEdge(552, 518, 2); - graph.removeEdge(552, 519, 2); - graph.removeEdge(552, 251, 2); - graph.removeEdge(552, 252, 2); - graph.removeEdge(552, 217, 2); - graph.removeEdge(552, 218, 2); - graph.removeEdge(552, 241, 2); - graph.removeEdge(552, 242, 2); - graph.removeEdge(552, 355, 2); - graph.removeEdge(552, 356, 2); - graph.removeEdge(552, 432, 2); - graph.removeEdge(552, 219, 2); - graph.removeEdge(552, 366, 2); - graph.removeEdge(552, 367, 2); - graph.removeEdge(552, 220, 2); - graph.removeEdge(552, 368, 2); - graph.removeEdge(552, 253, 2); - graph.removeEdge(552, 386, 2); - graph.removeEdge(552, 520, 2); - graph.removeEdge(552, 526, 2); - graph.removeEdge(552, 527, 2); - graph.removeEdge(552, 528, 2); - graph.removeEdge(552, 529, 2); - graph.removeEdge(552, 521, 2); - graph.removeEdge(552, 522, 2); - graph.removeEdge(552, 421, 2); - graph.removeEdge(552, 442, 2); - graph.removeEdge(552, 523, 2); - graph.removeEdge(552, 400, 2); - graph.removeEdge(552, 450, 2); - graph.removeEdge(552, 165, 2); - graph.removeEdge(552, 166, 2); - graph.removeEdge(552, 274, 2); - graph.removeEdge(552, 275, 2); - graph.removeEdge(552, 371, 2); - graph.removeEdge(552, 372, 2); - graph.removeEdge(552, 461, 2); - graph.removeEdge(552, 462, 2); - graph.removeEdge(552, 501, 2); - graph.removeEdge(552, 502, 2); - graph.removeEdge(552, 373, 2); - graph.removeEdge(552, 481, 2); - graph.removeEdge(552, 374, 2); - graph.removeEdge(552, 464, 2); - graph.removeEdge(552, 465, 2); - graph.removeEdge(552, 375, 2); - graph.removeEdge(552, 484, 2); - graph.removeEdge(552, 485, 2); - graph.removeEdge(552, 376, 2); - graph.removeEdge(552, 486, 2); - graph.removeEdge(552, 487, 2); - graph.removeEdge(552, 276, 2); - graph.removeEdge(552, 277, 2); - graph.removeEdge(552, 167, 2); - graph.removeEdge(552, 272, 2); - graph.removeEdge(552, 273, 2); - graph.removeEdge(552, 369, 2); - graph.removeEdge(552, 370, 2); - graph.removeEdge(552, 463, 2); - graph.removeEdge(552, 168, 2); - graph.removeEdge(552, 278, 2); - graph.removeEdge(552, 279, 2); - graph.removeEdge(552, 169, 2); - graph.removeEdge(552, 282, 2); - graph.removeEdge(552, 283, 2); - graph.removeEdge(552, 170, 2); - graph.removeEdge(552, 280, 2); - graph.removeEdge(552, 281, 2); - graph.removeEdge(552, 181, 2); - graph.removeEdge(552, 320, 2); - graph.removeEdge(552, 182, 2); - graph.removeEdge(552, 123, 2); - graph.removeEdge(552, 124, 2); - graph.removeEdge(552, 229, 2); - graph.removeEdge(552, 230, 2); - graph.removeEdge(552, 353, 2); - graph.removeEdge(552, 354, 2); - graph.removeEdge(552, 125, 2); - graph.removeEdge(552, 183, 2); - graph.removeEdge(552, 289, 2); - graph.removeEdge(552, 290, 2); - graph.removeEdge(552, 89, 2); - graph.removeEdge(552, 90, 2); - graph.removeEdge(552, 91, 2); - graph.removeEdge(552, 291, 2); - graph.removeEdge(552, 126, 2); - graph.removeEdge(552, 127, 2); - graph.removeEdge(552, 202, 2); - graph.removeEdge(552, 203, 2); - graph.removeEdge(552, 307, 2); - graph.removeEdge(552, 204, 2); - graph.removeEdge(552, 231, 2); - graph.removeEdge(552, 232, 2); - graph.removeEdge(552, 427, 2); - graph.removeEdge(552, 428, 2); - graph.removeEdge(552, 429, 2); - graph.removeEdge(552, 134, 2); - graph.removeEdge(552, 233, 2); - graph.removeEdge(552, 205, 2); - graph.removeEdge(552, 162, 2); - graph.removeEdge(552, 206, 2); - graph.removeEdge(552, 383, 2); - graph.removeEdge(552, 384, 2); - graph.removeEdge(552, 385, 2); - graph.removeEdge(552, 474, 2); - graph.removeEdge(552, 207, 2); - graph.removeEdge(552, 323, 2); - graph.removeEdge(552, 208, 2); - graph.removeEdge(552, 308, 2); - graph.removeEdge(552, 309, 2); - graph.removeEdge(552, 403, 2); - graph.removeEdge(552, 404, 2); - graph.removeEdge(552, 405, 2); - graph.removeEdge(552, 210, 2); - graph.removeEdge(552, 406, 2); - graph.removeEdge(552, 310, 2); - graph.removeEdge(552, 121, 2); - graph.removeEdge(552, 311, 2); - graph.removeEdge(552, 401, 2); - graph.removeEdge(552, 402, 2); - graph.removeEdge(552, 128, 2); - graph.removeEdge(552, 173, 2); - graph.removeEdge(552, 174, 2); - graph.removeEdge(552, 163, 2); - graph.removeEdge(552, 175, 2); - graph.removeEdge(552, 305, 2); - graph.removeEdge(552, 306, 2); - graph.removeEdge(552, 391, 2); - graph.removeEdge(552, 129, 2); - graph.removeEdge(552, 131, 2); - graph.removeEdge(552, 132, 2); - graph.removeEdge(552, 133, 2); - graph.removeEdge(552, 184, 2); - graph.removeEdge(552, 302, 2); - graph.removeEdge(552, 303, 2); - graph.removeEdge(552, 304, 2); - graph.removeEdge(552, 211, 2); - graph.removeEdge(552, 212, 2); - graph.removeEdge(552, 213, 2); - graph.removeEdge(552, 332, 2); - graph.removeEdge(552, 333, 2); - graph.removeEdge(552, 334, 2); - graph.removeEdge(552, 335, 2); - graph.removeEdge(552, 397, 2); - graph.removeEdge(552, 214, 2); - graph.removeEdge(552, 185, 2); - graph.removeEdge(552, 284, 2); - graph.removeEdge(552, 285, 2); - graph.removeEdge(552, 186, 2); - graph.removeEdge(552, 322, 2); - graph.removeEdge(552, 187, 2); - graph.removeEdge(552, 286, 2); - graph.removeEdge(552, 287, 2); - graph.removeEdge(552, 288, 2); - graph.removeEdge(552, 416, 2); - graph.removeEdge(552, 417, 2); - graph.removeEdge(552, 517, 2); - graph.removeEdge(552, 418, 2); - graph.removeEdge(552, 327, 2); - graph.removeEdge(552, 188, 2); - graph.removeEdge(552, 344, 2); - graph.removeEdge(552, 345, 2); - graph.removeEdge(552, 346, 2); - graph.removeEdge(552, 236, 2); - graph.removeEdge(552, 237, 2); - graph.removeEdge(552, 122, 2); - graph.removeEdge(552, 238, 2); - graph.removeEdge(552, 254, 2); - graph.removeEdge(552, 255, 2); - graph.removeEdge(552, 239, 2); - graph.removeEdge(552, 240, 2); - graph.removeEdge(552, 189, 2); - graph.removeEdge(552, 312, 2); - graph.removeEdge(552, 313, 2); - graph.removeEdge(552, 159, 2); - graph.removeEdge(552, 160, 2); - graph.removeEdge(552, 161, 2); - graph.removeEdge(552, 314, 2); - graph.removeEdge(552, 315, 2); - graph.removeEdge(552, 190, 2); - graph.removeEdge(552, 107, 2); - graph.removeEdge(552, 108, 2); - graph.removeEdge(552, 109, 2); - graph.removeEdge(552, 110, 2); - graph.removeEdge(552, 191, 2); - graph.removeEdge(552, 336, 2); - graph.removeEdge(552, 337, 2); - graph.removeEdge(552, 471, 2); - graph.removeEdge(552, 472, 2); - graph.removeEdge(552, 473, 2); - graph.removeEdge(552, 338, 2); - graph.removeEdge(552, 339, 2); - graph.removeEdge(552, 489, 2); - graph.removeEdge(552, 490, 2); - graph.removeEdge(552, 491, 2); - graph.removeEdge(552, 340, 2); - graph.removeEdge(552, 422, 2); - graph.removeEdge(552, 423, 2); - graph.removeEdge(552, 424, 2); - graph.removeEdge(552, 341, 2); - graph.removeEdge(552, 494, 2); - graph.removeEdge(552, 495, 2); - graph.removeEdge(552, 496, 2); - graph.removeEdge(552, 342, 2); - graph.removeEdge(552, 343, 2); - graph.removeEdge(552, 192, 2); - graph.removeEdge(552, 321, 2); - graph.removeEdge(552, 193, 2); - graph.removeEdge(552, 347, 2); - graph.removeEdge(552, 348, 2); - graph.removeEdge(552, 469, 2); - graph.removeEdge(552, 470, 2); - graph.removeEdge(552, 508, 2); - graph.removeEdge(552, 509, 2); - graph.removeEdge(552, 349, 2); - graph.removeEdge(552, 419, 2); - graph.removeEdge(552, 420, 2); - graph.removeEdge(552, 350, 2); - graph.removeEdge(552, 497, 2); - graph.removeEdge(552, 351, 2); - graph.removeEdge(552, 425, 2); - graph.removeEdge(552, 426, 2); - graph.removeEdge(552, 352, 2); - graph.removeEdge(552, 492, 2); - graph.removeEdge(552, 493, 2); - graph.removeEdge(552, 194, 2); - graph.removeEdge(552, 316, 2); - graph.removeEdge(552, 317, 2); - graph.removeEdge(552, 392, 2); - graph.removeEdge(552, 393, 2); - graph.removeEdge(552, 318, 2); - graph.removeEdge(552, 319, 2); - graph.removeEdge(552, 195, 2); - graph.removeEdge(552, 196, 2); - graph.removeEdge(552, 197, 2); - graph.removeEdge(552, 387, 2); - graph.removeEdge(552, 388, 2); - graph.removeEdge(552, 498, 2); - graph.removeEdge(552, 499, 2); - graph.removeEdge(552, 500, 2); - graph.removeEdge(552, 389, 2); - graph.removeEdge(552, 390, 2); - graph.removeEdge(552, 198, 2); - graph.removeEdge(552, 199, 2); - graph.removeEdge(552, 328, 2); - graph.removeEdge(552, 329, 2); - graph.removeEdge(552, 394, 2); - graph.removeEdge(552, 395, 2); - graph.removeEdge(552, 396, 2); - graph.removeEdge(552, 330, 2); - graph.removeEdge(552, 331, 2); - graph.removeEdge(552, 200, 2); - graph.removeEdge(552, 201, 2); - graph.removeEdge(555, 377, 2); - graph.removeEdge(555, 378, 2); - graph.removeEdge(555, 488, 2); - graph.removeEdge(555, 379, 2); - graph.removeEdge(555, 503, 2); - graph.removeEdge(555, 504, 2); - graph.removeEdge(555, 512, 2); - graph.removeEdge(555, 513, 2); - graph.removeEdge(555, 209, 2); - graph.removeEdge(555, 380, 2); - graph.removeEdge(555, 475, 2); - graph.removeEdge(555, 476, 2); - graph.removeEdge(555, 381, 2); - graph.removeEdge(555, 482, 2); - graph.removeEdge(555, 483, 2); - graph.removeEdge(555, 382, 2); - graph.removeEdge(555, 505, 2); - graph.removeEdge(555, 506, 2); - graph.removeEdge(553, 377, 2); - graph.removeEdge(553, 378, 2); - graph.removeEdge(553, 488, 2); - graph.removeEdge(553, 379, 2); - graph.removeEdge(553, 503, 2); - graph.removeEdge(553, 504, 2); - graph.removeEdge(553, 512, 2); - graph.removeEdge(553, 513, 2); - graph.removeEdge(553, 209, 2); - graph.removeEdge(553, 380, 2); - graph.removeEdge(553, 475, 2); - graph.removeEdge(553, 476, 2); - graph.removeEdge(553, 381, 2); - graph.removeEdge(553, 482, 2); - graph.removeEdge(553, 483, 2); - graph.removeEdge(553, 382, 2); - graph.removeEdge(553, 505, 2); - graph.removeEdge(553, 506, 2); - graph.removeEdge(551, 377, 2); - graph.removeEdge(551, 378, 2); - graph.removeEdge(551, 488, 2); - graph.removeEdge(551, 379, 2); - graph.removeEdge(551, 503, 2); - graph.removeEdge(551, 504, 2); - graph.removeEdge(551, 512, 2); - graph.removeEdge(551, 513, 2); - graph.removeEdge(551, 209, 2); - graph.removeEdge(551, 380, 2); - graph.removeEdge(551, 475, 2); - graph.removeEdge(551, 476, 2); - graph.removeEdge(551, 381, 2); - graph.removeEdge(551, 482, 2); - graph.removeEdge(551, 483, 2); - graph.removeEdge(551, 382, 2); - graph.removeEdge(551, 505, 2); - graph.removeEdge(551, 506, 2); - graph.removeEdge(552, 488, 2); - graph.removeEdge(555, 209, 2); - graph.removeEdge(555, 398, 2); - graph.removeEdge(555, 399, 2); - graph.removeEdge(555, 440, 2); - graph.removeEdge(555, 441, 2); - graph.removeEdge(555, 518, 2); - graph.removeEdge(555, 519, 2); - graph.removeEdge(555, 251, 2); - graph.removeEdge(555, 252, 2); - graph.removeEdge(555, 217, 2); - graph.removeEdge(555, 218, 2); - graph.removeEdge(555, 241, 2); - graph.removeEdge(555, 242, 2); - graph.removeEdge(555, 355, 2); - graph.removeEdge(555, 356, 2); - graph.removeEdge(555, 432, 2); - graph.removeEdge(555, 219, 2); - graph.removeEdge(555, 366, 2); - graph.removeEdge(555, 367, 2); - graph.removeEdge(555, 220, 2); - graph.removeEdge(555, 368, 2); - graph.removeEdge(555, 253, 2); - graph.removeEdge(555, 386, 2); - graph.removeEdge(555, 520, 2); - graph.removeEdge(555, 526, 2); - graph.removeEdge(555, 527, 2); - graph.removeEdge(555, 528, 2); - graph.removeEdge(555, 529, 2); - graph.removeEdge(555, 521, 2); - graph.removeEdge(555, 522, 2); - graph.removeEdge(555, 421, 2); - graph.removeEdge(555, 442, 2); - graph.removeEdge(555, 523, 2); - graph.removeEdge(555, 400, 2); - graph.removeEdge(553, 398, 2); - graph.removeEdge(553, 399, 2); - graph.removeEdge(553, 440, 2); - graph.removeEdge(553, 441, 2); - graph.removeEdge(553, 518, 2); - graph.removeEdge(553, 519, 2); - graph.removeEdge(553, 251, 2); - graph.removeEdge(553, 252, 2); - graph.removeEdge(553, 217, 2); - graph.removeEdge(553, 218, 2); - graph.removeEdge(553, 241, 2); - graph.removeEdge(553, 242, 2); - graph.removeEdge(553, 355, 2); - graph.removeEdge(553, 356, 2); - graph.removeEdge(553, 432, 2); - graph.removeEdge(553, 219, 2); - graph.removeEdge(553, 366, 2); - graph.removeEdge(553, 367, 2); - graph.removeEdge(553, 220, 2); - graph.removeEdge(553, 368, 2); - graph.removeEdge(553, 253, 2); - graph.removeEdge(553, 386, 2); - graph.removeEdge(553, 520, 2); - graph.removeEdge(553, 526, 2); - graph.removeEdge(553, 527, 2); - graph.removeEdge(553, 528, 2); - graph.removeEdge(553, 529, 2); - graph.removeEdge(553, 521, 2); - graph.removeEdge(553, 522, 2); - graph.removeEdge(553, 421, 2); - graph.removeEdge(553, 442, 2); - graph.removeEdge(553, 523, 2); - graph.removeEdge(553, 400, 2); - graph.removeEdge(551, 398, 2); - graph.removeEdge(551, 399, 2); - graph.removeEdge(551, 440, 2); - graph.removeEdge(551, 441, 2); - graph.removeEdge(551, 518, 2); - graph.removeEdge(551, 519, 2); - graph.removeEdge(551, 251, 2); - graph.removeEdge(551, 252, 2); - graph.removeEdge(551, 217, 2); - graph.removeEdge(551, 218, 2); - graph.removeEdge(551, 241, 2); - graph.removeEdge(551, 242, 2); - graph.removeEdge(551, 355, 2); - graph.removeEdge(551, 356, 2); - graph.removeEdge(551, 432, 2); - graph.removeEdge(551, 219, 2); - graph.removeEdge(551, 366, 2); - graph.removeEdge(551, 367, 2); - graph.removeEdge(551, 220, 2); - graph.removeEdge(551, 368, 2); - graph.removeEdge(551, 253, 2); - graph.removeEdge(551, 386, 2); - graph.removeEdge(551, 520, 2); - graph.removeEdge(551, 526, 2); - graph.removeEdge(551, 527, 2); - graph.removeEdge(551, 528, 2); - graph.removeEdge(551, 529, 2); - graph.removeEdge(551, 521, 2); - graph.removeEdge(551, 522, 2); - graph.removeEdge(551, 421, 2); - graph.removeEdge(551, 442, 2); - graph.removeEdge(551, 523, 2); - graph.removeEdge(551, 400, 2); - graph.removeEdge(552, 440, 2); - graph.removeEdge(552, 441, 2); - graph.removeEdge(552, 442, 2); - graph.removeEdge(551, 440, 2); - graph.removeEdge(551, 441, 2); - graph.removeEdge(551, 518, 2); - graph.removeEdge(551, 519, 2); - graph.removeEdge(551, 520, 2); - graph.removeEdge(551, 526, 2); - graph.removeEdge(551, 527, 2); - graph.removeEdge(551, 528, 2); - graph.removeEdge(551, 529, 2); - graph.removeEdge(551, 355, 2); - graph.removeEdge(551, 356, 2); - graph.removeEdge(551, 432, 2); - graph.removeEdge(551, 521, 2); - graph.removeEdge(551, 522, 2); - graph.removeEdge(551, 421, 2); - graph.removeEdge(551, 442, 2); - graph.removeEdge(551, 523, 2); - graph.removeEdge(557, 217, 2); - graph.removeEdge(557, 218, 2); - graph.removeEdge(557, 241, 2); - graph.removeEdge(557, 242, 2); - graph.removeEdge(557, 355, 2); - graph.removeEdge(557, 356, 2); - graph.removeEdge(557, 432, 2); - graph.removeEdge(557, 219, 2); - graph.removeEdge(557, 366, 2); - graph.removeEdge(557, 367, 2); - graph.removeEdge(557, 220, 2); - graph.removeEdge(557, 368, 2); - graph.removeEdge(557, 217, 2); - graph.removeEdge(554, 217, 2); - graph.removeEdge(554, 218, 2); - graph.removeEdge(554, 241, 2); - graph.removeEdge(554, 242, 2); - graph.removeEdge(554, 355, 2); - graph.removeEdge(554, 356, 2); - graph.removeEdge(554, 432, 2); - graph.removeEdge(554, 219, 2); - graph.removeEdge(554, 366, 2); - graph.removeEdge(554, 367, 2); - graph.removeEdge(554, 220, 2); - graph.removeEdge(554, 368, 2); - graph.removeEdge(554, 217, 2); - graph.removeEdge(557, 355, 2); - graph.removeEdge(554, 368, 2); - graph.removeEdge(557, 386, 2); - graph.removeEdge(551, 528, 2); - graph.removeEdge(555, 165, 2); - graph.removeEdge(555, 166, 2); - graph.removeEdge(555, 274, 2); - graph.removeEdge(555, 275, 2); - graph.removeEdge(555, 371, 2); - graph.removeEdge(555, 372, 2); - graph.removeEdge(555, 461, 2); - graph.removeEdge(555, 462, 2); - graph.removeEdge(555, 501, 2); - graph.removeEdge(555, 502, 2); - graph.removeEdge(555, 373, 2); - graph.removeEdge(555, 481, 2); - graph.removeEdge(555, 374, 2); - graph.removeEdge(555, 464, 2); - graph.removeEdge(555, 465, 2); - graph.removeEdge(555, 375, 2); - graph.removeEdge(555, 484, 2); - graph.removeEdge(555, 485, 2); - graph.removeEdge(555, 376, 2); - graph.removeEdge(555, 486, 2); - graph.removeEdge(555, 487, 2); - graph.removeEdge(555, 276, 2); - graph.removeEdge(555, 277, 2); - graph.removeEdge(555, 167, 2); - graph.removeEdge(555, 272, 2); - graph.removeEdge(555, 273, 2); - graph.removeEdge(555, 369, 2); - graph.removeEdge(555, 370, 2); - graph.removeEdge(555, 463, 2); - graph.removeEdge(555, 168, 2); - graph.removeEdge(555, 278, 2); - graph.removeEdge(555, 279, 2); - graph.removeEdge(555, 169, 2); - graph.removeEdge(555, 282, 2); - graph.removeEdge(555, 283, 2); - graph.removeEdge(555, 170, 2); - graph.removeEdge(555, 280, 2); - graph.removeEdge(555, 281, 2); - graph.removeEdge(553, 165, 2); - graph.removeEdge(553, 166, 2); - graph.removeEdge(553, 274, 2); - graph.removeEdge(553, 275, 2); - graph.removeEdge(553, 371, 2); - graph.removeEdge(553, 372, 2); - graph.removeEdge(553, 461, 2); - graph.removeEdge(553, 462, 2); - graph.removeEdge(553, 501, 2); - graph.removeEdge(553, 502, 2); - graph.removeEdge(553, 373, 2); - graph.removeEdge(553, 481, 2); - graph.removeEdge(553, 374, 2); - graph.removeEdge(553, 464, 2); - graph.removeEdge(553, 465, 2); - graph.removeEdge(553, 375, 2); - graph.removeEdge(553, 484, 2); - graph.removeEdge(553, 485, 2); - graph.removeEdge(553, 376, 2); - graph.removeEdge(553, 486, 2); - graph.removeEdge(553, 487, 2); - graph.removeEdge(553, 276, 2); - graph.removeEdge(553, 277, 2); - graph.removeEdge(553, 167, 2); - graph.removeEdge(553, 272, 2); - graph.removeEdge(553, 273, 2); - graph.removeEdge(553, 369, 2); - graph.removeEdge(553, 370, 2); - graph.removeEdge(553, 463, 2); - graph.removeEdge(553, 168, 2); - graph.removeEdge(553, 278, 2); - graph.removeEdge(553, 279, 2); - graph.removeEdge(553, 169, 2); - graph.removeEdge(553, 282, 2); - graph.removeEdge(553, 283, 2); - graph.removeEdge(553, 170, 2); - graph.removeEdge(553, 280, 2); - graph.removeEdge(553, 281, 2); - graph.removeEdge(551, 165, 2); - graph.removeEdge(551, 166, 2); - graph.removeEdge(551, 274, 2); - graph.removeEdge(551, 275, 2); - graph.removeEdge(551, 371, 2); - graph.removeEdge(551, 372, 2); - graph.removeEdge(551, 461, 2); - graph.removeEdge(551, 462, 2); - graph.removeEdge(551, 501, 2); - graph.removeEdge(551, 502, 2); - graph.removeEdge(551, 373, 2); - graph.removeEdge(551, 481, 2); - graph.removeEdge(551, 374, 2); - graph.removeEdge(551, 464, 2); - graph.removeEdge(551, 465, 2); - graph.removeEdge(551, 375, 2); - graph.removeEdge(551, 484, 2); - graph.removeEdge(551, 485, 2); - graph.removeEdge(551, 376, 2); - graph.removeEdge(551, 486, 2); - graph.removeEdge(551, 487, 2); - graph.removeEdge(551, 276, 2); - graph.removeEdge(551, 277, 2); - graph.removeEdge(551, 167, 2); - graph.removeEdge(551, 272, 2); - graph.removeEdge(551, 273, 2); - graph.removeEdge(551, 369, 2); - graph.removeEdge(551, 370, 2); - graph.removeEdge(551, 463, 2); - graph.removeEdge(551, 168, 2); - graph.removeEdge(551, 278, 2); - graph.removeEdge(551, 279, 2); - graph.removeEdge(551, 169, 2); - graph.removeEdge(551, 282, 2); - graph.removeEdge(551, 283, 2); - graph.removeEdge(551, 170, 2); - graph.removeEdge(551, 280, 2); - graph.removeEdge(551, 281, 2); - graph.removeEdge(551, 501, 2); - graph.removeEdge(552, 484, 2); - graph.removeEdge(555, 486, 2); - graph.removeEdge(555, 487, 2); - graph.removeEdge(551, 272, 2); - graph.removeEdge(551, 273, 2); - graph.removeEdge(552, 280, 2); - graph.removeEdge(553, 123, 2); - graph.removeEdge(553, 124, 2); - graph.removeEdge(553, 229, 2); - graph.removeEdge(553, 230, 2); - graph.removeEdge(553, 353, 2); - graph.removeEdge(553, 354, 2); - graph.removeEdge(553, 125, 2); - graph.removeEdge(555, 353, 2); - graph.removeEdge(555, 354, 2); - graph.removeEdge(551, 353, 2); - graph.removeEdge(551, 354, 2); - graph.removeEdge(553, 231, 2); - graph.removeEdge(553, 232, 2); - graph.removeEdge(553, 427, 2); - graph.removeEdge(553, 428, 2); - graph.removeEdge(553, 429, 2); - graph.removeEdge(553, 134, 2); - graph.removeEdge(553, 233, 2); - graph.removeEdge(557, 134, 2); - graph.removeEdge(555, 134, 2); - graph.removeEdge(553, 162, 2); - graph.removeEdge(553, 323, 2); - graph.removeEdge(555, 210, 2); - graph.removeEdge(553, 210, 2); - graph.removeEdge(555, 121, 2); - graph.removeEdge(551, 121, 2); - graph.removeEdge(555, 131, 2); - graph.removeEdge(555, 132, 2); - graph.removeEdge(555, 133, 2); - graph.removeEdge(553, 122, 2); - graph.removeEdge(555, 130, 2); - graph.removeEdge(553, 130, 2); - graph.removeEdge(552, 130, 2); - graph.removeEdge(555, 147, 2); - graph.removeEdge(555, 148, 2); - graph.removeEdge(555, 268, 2); - graph.removeEdge(553, 147, 2); - graph.removeEdge(553, 148, 2); - graph.removeEdge(553, 268, 2); - graph.removeEdge(552, 147, 2); - graph.removeEdge(552, 148, 2); - graph.removeEdge(552, 268, 2); - graph.removeEdge(555, 225, 2); - graph.removeEdge(555, 226, 2); - graph.removeEdge(555, 411, 2); - graph.removeEdge(555, 412, 2); - graph.removeEdge(555, 516, 2); - graph.removeEdge(555, 413, 2); - graph.removeEdge(555, 414, 2); - graph.removeEdge(555, 227, 2); - graph.removeEdge(555, 415, 2); - graph.removeEdge(553, 225, 2); - graph.removeEdge(553, 226, 2); - graph.removeEdge(553, 411, 2); - graph.removeEdge(553, 412, 2); - graph.removeEdge(553, 516, 2); - graph.removeEdge(553, 413, 2); - graph.removeEdge(553, 414, 2); - graph.removeEdge(553, 227, 2); - graph.removeEdge(553, 415, 2); - graph.removeEdge(552, 225, 2); - graph.removeEdge(552, 226, 2); - graph.removeEdge(552, 411, 2); - graph.removeEdge(552, 412, 2); - graph.removeEdge(552, 516, 2); - graph.removeEdge(552, 413, 2); - graph.removeEdge(552, 414, 2); - graph.removeEdge(552, 227, 2); - graph.removeEdge(552, 415, 2); - graph.removeEdge(553, 256, 2); - graph.removeEdge(553, 257, 2); - graph.removeEdge(553, 111, 2); - graph.removeEdge(553, 112, 2); - graph.removeEdge(553, 113, 2); - graph.removeEdge(553, 265, 2); - graph.removeEdge(553, 266, 2); - graph.removeEdge(553, 267, 2); - graph.removeEdge(553, 324, 2); - graph.removeEdge(553, 325, 2); - graph.removeEdge(553, 326, 2); - graph.removeEdge(553, 114, 2); - graph.removeEdge(553, 215, 2); - graph.removeEdge(553, 216, 2); - graph.removeEdge(553, 364, 2); - graph.removeEdge(553, 365, 2); - graph.removeEdge(553, 459, 2); - graph.removeEdge(553, 460, 2); - graph.removeEdge(553, 115, 2); - graph.removeEdge(553, 171, 2); - graph.removeEdge(553, 172, 2); - graph.removeEdge(553, 259, 2); - graph.removeEdge(553, 260, 2); - graph.removeEdge(553, 261, 2); - graph.removeEdge(553, 221, 2); - graph.removeEdge(553, 262, 2); - graph.removeEdge(553, 263, 2); - graph.removeEdge(553, 258, 2); - graph.removeEdge(553, 234, 2); - graph.removeEdge(553, 235, 2); - graph.removeEdge(557, 324, 2); - graph.removeEdge(557, 325, 2); - graph.removeEdge(557, 326, 2); - graph.removeEdge(553, 116, 2); - graph.removeEdge(553, 117, 2); - graph.removeEdge(553, 46, 2); - graph.removeEdge(553, 47, 2); - graph.removeEdge(553, 64, 2); - graph.removeEdge(553, 65, 2); - graph.removeEdge(553, 66, 2); - graph.removeEdge(553, 96, 2); - graph.removeEdge(553, 97, 2); - graph.removeEdge(553, 98, 2); - graph.removeEdge(553, 99, 2); - graph.removeEdge(553, 118, 2); - graph.removeEdge(553, 119, 2); - graph.removeEdge(557, 269, 2); - graph.removeEdge(557, 270, 2); - graph.removeEdge(557, 430, 2); - graph.removeEdge(557, 431, 2); - graph.removeEdge(557, 477, 2); - graph.removeEdge(557, 478, 2); - graph.removeEdge(557, 510, 2); - graph.removeEdge(557, 511, 2); - graph.removeEdge(557, 525, 2); - graph.removeEdge(557, 479, 2); - graph.removeEdge(557, 480, 2); - graph.removeEdge(557, 510, 2); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 1); + let index = graph.indexOf(n0, n1, 1); + assert(graph.edges[index] > 0); + assert(!isDeleted(graph.edges[index])); + graph.removeEdge(n0, n1, 1); + assert(isDeleted(graph.edges[index])); + graph.addEdge(n0, n1, 1); + assert(graph.edges[index] > 0); + assert(!isDeleted(graph.edges[index])); }); }); From eae8ef36c90ee817b35e9a68165037c525d35a79 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 1 Jul 2021 18:23:02 -0400 Subject: [PATCH 072/117] Refactor AdjacencyList to Node and Edge views These views are meant to simplify the bookkeeping operations in AdjacencyList, though they may be introducing some slowdowns. However, this should provide some optimization opportunity, for example, caching/memoizing of computed values, and also implementing a doubly linked edge list to improve scan / iteration times. --- packages/core/core/src/AdjacencyList.js | 628 +++++++++++++++--------- 1 file changed, 392 insertions(+), 236 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index e47aab4243d..987cae73407 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -1,9 +1,10 @@ // @flow -import {fromNodeId, toNodeId} from './types'; -import type {NodeId} from './types'; import {digraph} from 'graphviz'; import {spawn} from 'child_process'; +import assert from 'assert'; +import {fromNodeId, toNodeId} from './types'; import type {NullEdgeType, AllEdgeTypes} from './Graph'; +import type {NodeId} from './types'; /** * Each node is represented with 2 4-byte chunks: @@ -101,12 +102,6 @@ export type SerializedAdjacencyList = {| nodeCapacity: number, |}; -type Edge = {| - from: NodeId, - to: NodeId, - type: TEdgeType, -|}; - opaque type EdgeHash = number; /** Get the hash of the edge at the given index in the edges array. */ const indexToHash = (index: number): EdgeHash => index + 1; @@ -125,6 +120,301 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; +export class Node { + #id: NodeId; + #nodes: Uint32Array; + #edges: Uint32Array; + + constructor(id: NodeId, nodes: Uint32Array, edges: Uint32Array) { + this.#id = id; + this.#nodes = nodes; + this.#edges = edges; + } + + static at( + index: number, + nodes: Uint32Array, + edges: Uint32Array, + ): Node { + return new Node(nodeAt(index), nodes, edges); + } + + static *iterate( + nodes: Uint32Array, + edges: Uint32Array, + ): Iterator> { + for (let i = 0; i < nodes.length; i += NODE_SIZE) { + yield Node.at(i, nodes, edges); + } + } + + get id(): NodeId { + return this.#id; + } + + get index(): number { + return indexOfNode(this.#id); + } + + get firstOutgoingEdge(): Edge | null { + let hash = this.#nodes[this.index + FIRST_OUT]; + return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + } + set firstOutgoingEdge(edge: Edge | null) { + this.#nodes[this.index + FIRST_OUT] = edge?.hash ?? 0; + } + + get lastOutgoingEdge(): Edge | null { + let hash = this.#nodes[this.index + LAST_OUT]; + return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + } + set lastOutgoingEdge(edge: Edge | null) { + this.#nodes[this.index + LAST_OUT] = edge?.hash ?? 0; + } + + get firstIncomingEdge(): Edge | null { + let hash = this.#nodes[this.index + FIRST_IN]; + return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + } + set firstIncomingEdge(edge: Edge | null) { + this.#nodes[this.index + FIRST_IN] = edge?.hash ?? 0; + } + + get lastIncomingEdge(): Edge | null { + let hash = this.#nodes[this.index + LAST_IN]; + return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + } + set lastIncomingEdge(edge: Edge | null) { + this.#nodes[this.index + LAST_IN] = edge?.hash ?? 0; + } + + *getIncomingEdges(): Iterator> { + let start = this.firstIncomingEdge; + if (start) yield* this._iterateEdges(NEXT_IN, start); + } + + *getOutgoingEdges(): Iterator> { + let start = this.firstOutgoingEdge; + if (start) yield* this._iterateEdges(NEXT_OUT, start); + } + + *_iterateEdges( + direction: typeof NEXT_IN | typeof NEXT_OUT, + edge: Edge, + ): Iterator> { + let value = edge; + while (value) { + yield value; + let nextHash = this.#edges[value.index + direction]; + if (!nextHash) break; + value = Edge.fromHash(nextHash, this.#nodes, this.#edges); + } + } +} + +export class Edge { + #index: number; + #nodes: Uint32Array; + #edges: Uint32Array; + + constructor(index: number, nodes: Uint32Array, edges: Uint32Array) { + assert(index >= 0 && index < edges.length); + this.#index = index; + this.#nodes = nodes; + this.#edges = edges; + } + + static fromHash( + hash: EdgeHash, + nodes: Uint32Array, + edges: Uint32Array, + ): Edge { + assert(hash > 0); + return new Edge(hashToIndex(hash), nodes, edges); + } + + static insertAt( + index: number, + from: NodeId, + to: NodeId, + type: TEdgeType, + nodes: Uint32Array, + edges: Uint32Array, + ): Edge { + let edge = new Edge(index, nodes, edges); + edges[index + TYPE] = type; + edges[index + FROM] = fromNodeId(from); + edges[index + TO] = fromNodeId(to); + return edge; + } + + static deleteAt(index: number, nodes: Uint32Array, edges: Uint32Array) { + let { + hash, + from, + to, + nextOutgoingEdge, + nextIncomingEdge, + previousOutgoingEdge, + previousIncomingEdge, + } = new Edge(index, nodes, edges); + if (to.firstIncomingEdge?.hash === hash) { + to.firstIncomingEdge = nextIncomingEdge; + } + if (to.lastIncomingEdge?.hash === hash) { + to.lastIncomingEdge = previousIncomingEdge; + } + if (from.firstOutgoingEdge?.hash === hash) { + from.firstOutgoingEdge = nextOutgoingEdge; + } + if (from.lastOutgoingEdge?.hash === hash) { + from.lastOutgoingEdge = previousOutgoingEdge; + } + if (previousOutgoingEdge) { + previousOutgoingEdge.nextOutgoingEdge = nextOutgoingEdge; + } + if (previousIncomingEdge) { + previousIncomingEdge.nextIncomingEdge = nextIncomingEdge; + } + // Mark this slot as DELETED. + // We do this so that clustered edges can still be found + // by scanning forward in the array from the first index for + // the cluster. + edges[index + TYPE] = DELETED; + edges[index + FROM] = 0; + edges[index + TO] = 0; + edges[index + NEXT_IN] = 0; + edges[index + NEXT_OUT] = 0; + } + + /** + * Scan the edges array for contiguous edges, + * starting from the edge matching the given `hash`. + */ + static *scan( + hash: EdgeHash, + nodes: Uint32Array, + edges: Uint32Array, + ): Iterator> { + let index = hashToIndex(hash); + // We want to avoid scanning the array forever, + // so keep track of where we start scanning from. + let startIndex = index; + while (edges[index + TYPE]) { + yield new Edge(index, nodes, edges); + // Our array is circular, + // so when we find the end of the array, + // we continue scanning from the start of the array. + index = (index + EDGE_SIZE) % edges.length; + // We have scanned the whole array. + if (index === startIndex) break; + } + } + + get hash(): EdgeHash { + return indexToHash(this.#index); + } + + get index(): number { + return this.#index; + } + + get type(): TEdgeType { + return (this.#edges[this.index + TYPE]: any); + } + + get from(): Node { + return new Node( + toNodeId(this.#edges[this.index + FROM]), + this.#nodes, + this.#edges, + ); + } + + get to(): Node { + return new Node( + toNodeId(this.#edges[this.index + TO]), + this.#nodes, + this.#edges, + ); + } + + get isDeleted(): boolean { + return isDeleted(this.type); + } + + get nextIncomingEdge(): Edge | null { + return this._findEdgeAfter(NEXT_IN); + } + set nextIncomingEdge(edge: Edge | null) { + let nextHash = edge?.hash ?? 0; + this.#edges[this.index + NEXT_IN] = nextHash; + } + + get previousIncomingEdge(): Edge | null { + return this._findEdgeBefore(NEXT_IN); + } + + get nextOutgoingEdge(): Edge | null { + return this._findEdgeAfter(NEXT_OUT); + } + set nextOutgoingEdge(edge: Edge | null) { + let nextHash = edge?.hash ?? 0; + this.#edges[this.index + NEXT_OUT] = nextHash; + } + + get previousOutgoingEdge(): Edge | null { + return this._findEdgeBefore(NEXT_OUT); + } + + _findEdgeBefore( + direction: typeof NEXT_IN | typeof NEXT_OUT, + ): Edge | null { + let node = direction === NEXT_IN ? this.to : this.from; + if (direction === NEXT_IN && node.firstIncomingEdge?.hash === this.hash) { + return null; + } + if (direction === NEXT_OUT && node.firstOutgoingEdge?.hash === this.hash) { + return null; + } + let forward = + direction === NEXT_IN ? node.getIncomingEdges() : node.getOutgoingEdges(); + let {value: prev} = forward.next(); + while (prev) { + let value; + ({value} = forward.next()); + if (value?.hash === this.hash) { + return prev; + } + prev = value; + } + return null; + } + + _findEdgeAfter( + direction: typeof NEXT_IN | typeof NEXT_OUT, + ): Edge | null { + let node = direction === NEXT_IN ? this.to : this.from; + if (direction === NEXT_IN && node.lastIncomingEdge?.hash === this.hash) { + return null; + } + if (direction === NEXT_OUT && node.lastOutgoingEdge?.hash === this.hash) { + return null; + } + let forward = + direction === NEXT_IN ? node.getIncomingEdges() : node.getOutgoingEdges(); + let {value: prev} = forward.next(); + while (prev) { + let value; + ({value} = forward.next()); + if (prev?.hash === this.hash) { + return value ?? null; + } + prev = value; + } + return null; + } +} export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ nodeCapacity: number; @@ -201,35 +491,15 @@ export default class AdjacencyList { /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ uniformity: number, |} { - let {numNodes, nodes, nodeCapacity, numEdges, edges, edgeCapacity} = this; + let {numNodes, nodeCapacity, numEdges, edgeCapacity} = this; let buckets = new Map(); - for (let i = 0; i < nodes.length; i += NODE_SIZE) { - let from = nodeAt(i); - for ( - let hash = nodes[i + FIRST_OUT]; - hash; - hash = edges[hashToIndex(hash) + NEXT_OUT] - ) { - let to = toNodeId(edges[hashToIndex(hash) + TO]); - let type = (edges[hashToIndex(hash) + TYPE]: any); - let bucketHash = this.hash(from, to, type); - let bucket = buckets.get(bucketHash) || new Set(); - bucket.add(`${fromNodeId(from)}, ${fromNodeId(to)}, ${type}`); - buckets.set(bucketHash, bucket); - } - let to = from; - for ( - let hash = nodes[i + FIRST_IN]; - hash; - hash = edges[hashToIndex(hash) + NEXT_IN] - ) { - let from = toNodeId(edges[hashToIndex(hash) + FROM]); - let type = (edges[hashToIndex(hash) + TYPE]: any); - let bucketHash = this.hash(from, to, type); - let bucket = buckets.get(bucketHash) || new Set(); - bucket.add(`${fromNodeId(from)}, ${fromNodeId(to)}, ${type}`); - buckets.set(bucketHash, bucket); - } + for (let {from, to, type} of this.getAllEdges()) { + let hash = this.hash(from, to, type); + let bucket = buckets.get(hash) || new Set(); + let key = `${String(from)}, ${String(to)}, ${String(type)}`; + assert(!bucket.has(key), `Duplicate node detected: ${key}`); + bucket.add(key); + buckets.set(hash, bucket); } let collisions = 0; @@ -291,85 +561,84 @@ export default class AdjacencyList { */ copyEdges(edges: Uint32Array) { // For each node in the graph, copy the existing edges into the new array. - for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { - /** The next node with edges to copy. */ - let from = nodeAt(i); + for (let from of Node.iterate(this.nodes, edges)) { /** The last edge copied. */ - let lastIndex = null; - for ( - /** The next outgoing edge to be copied. */ - let hash = this.nodes[i + FIRST_OUT]; - hash; - hash = edges[hashToIndex(hash) + NEXT_OUT] - ) { - /** The node that the next outgoing edge connects to. */ - let to = toNodeId(edges[hashToIndex(hash) + TO]); - let type = (edges[hashToIndex(hash) + TYPE]: any); + let lastEdge = null; + // Copy all of the outgoing edges. + for (let {to, type} of from.getOutgoingEdges()) { + let edge; /** The index at which to copy this edge. */ - let index = this.indexFor(from, to, type); + let index = this.indexFor(from.id, to.id, type); if (index === -1) { // Edge already copied? - index = this.indexOf(from, to, type); + index = this.indexOf(from.id, to.id, type); + edge = new Edge(index, this.nodes, this.edges); } else { // Copy the details of the edge into the new edge list. - this.edges[index + TYPE] = type; - this.edges[index + FROM] = fromNodeId(from); - this.edges[index + TO] = fromNodeId(to); + edge = Edge.insertAt( + index, + from.id, + to.id, + type, + this.nodes, + this.edges, + ); } - - if (lastIndex != null) { + if (lastEdge != null) { // If this edge is not the first outgoing edge from the current node, // link this edge to the last outgoing edge copied. - this.edges[lastIndex + NEXT_OUT] = indexToHash(index); + lastEdge.nextOutgoingEdge = edge; } else { // If this edge is the first outgoing edge from the current node, // link this edge to the current node. - this.nodes[i + FIRST_OUT] = indexToHash(index); + from.firstOutgoingEdge = edge; } - this.nodes[i + LAST_OUT] = indexToHash(index); // Keep track of the last outgoing edge copied. - lastIndex = index; + lastEdge = edge; } + // Link the last copied outging edge from the current node. + from.lastOutgoingEdge = lastEdge; - // Reset lastIndex for use while copying incoming edges. - lastIndex = undefined; + // Reset lastEdge for use while copying incoming edges. + lastEdge = null; // Now we're copying incoming edges, so `from` becomes `to`. let to = from; - for ( - /** The next incoming edge to be copied. */ - let hash = this.nodes[i + FIRST_IN]; - hash; - hash = edges[hashToIndex(hash) + NEXT_IN] - ) { - /** The node that the next incoming edge connects from. */ - let from = toNodeId(edges[hashToIndex(hash) + FROM]); - let type = (edges[hashToIndex(hash) + TYPE]: any); + // Copy all of the outgoing edges. + for (let {from, type} of to.getIncomingEdges()) { + let edge; /** The index at which to copy this edge. */ - let index = this.indexFor(from, to, type); + let index = this.indexFor(from.id, to.id, type); if (index === -1) { // Edge already copied? - index = this.indexOf(from, to, type); + index = this.indexOf(from.id, to.id, type); + edge = new Edge(index, this.nodes, this.edges); } else { // Copy the details of the edge into the new edge list. - this.edges[index + TYPE] = type; - this.edges[index + FROM] = fromNodeId(from); - this.edges[index + TO] = fromNodeId(to); + edge = Edge.insertAt( + index, + from.id, + to.id, + type, + this.nodes, + this.edges, + ); } - if (lastIndex != null) { + if (lastEdge != null) { // If this edge is not the first incoming edge to the current node, // link this edge to the last incoming edge copied. - this.edges[lastIndex + NEXT_IN] = indexToHash(index); + lastEdge.nextIncomingEdge = edge; } else { - // If this edge is the first incoming edge from the current node, + // If this edge is the first incoming edge to the current node, // link this edge to the current node. - this.nodes[i + FIRST_IN] = indexToHash(index); + to.firstIncomingEdge = edge; } - this.nodes[i + LAST_IN] = indexToHash(index); // Keep track of the last edge copied. - lastIndex = index; + lastEdge = edge; } + // Link the last copied incoming edge to the current node. + to.lastIncomingEdge = lastEdge; } } @@ -432,37 +701,21 @@ export default class AdjacencyList { this.numEdges++; - // Each edge takes up `EDGE_SIZE` space in the `edges` array. - // `[type, from, to, nextIncoming, nextOutgoing]` - this.edges[index + TYPE] = type; - this.edges[index + FROM] = fromNodeId(from); - this.edges[index + TO] = fromNodeId(to); - - // Set this edge as the last incoming edge on the `to` node, - // Unless it already has a last incoming edge. - // In that case, append this edge as the next incoming edge - // after the last incoming edge to have been added. - let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; - let firstInHash = this.nodes[indexOfNode(to) + FIRST_IN]; - if (firstInHash) { - this.edges[hashToIndex(lastInHash) + NEXT_IN] = indexToHash(index); - } else { - this.nodes[indexOfNode(to) + FIRST_IN] = indexToHash(index); + let edge = Edge.insertAt(index, from, to, type, this.nodes, this.edges); + if (edge.to.lastIncomingEdge) { + edge.to.lastIncomingEdge.nextIncomingEdge = edge; + } + edge.to.lastIncomingEdge = edge; + if (!edge.to.firstIncomingEdge) { + edge.to.firstIncomingEdge = edge; } - this.nodes[indexOfNode(to) + LAST_IN] = indexToHash(index); - - // Set this edge as the last outgoing edge on the `from` node, - // Unless it already has a last outgoing edge. - // In that case, append this edge as the next outgoing edge - // after the last outgoing edge to have been added. - let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; - let firstOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; - if (firstOutHash) { - this.edges[hashToIndex(lastOutHash) + NEXT_OUT] = indexToHash(index); - } else { - this.nodes[indexOfNode(from) + FIRST_OUT] = indexToHash(index); + if (edge.from.lastOutgoingEdge) { + edge.from.lastOutgoingEdge.nextOutgoingEdge = edge; + } + edge.from.lastOutgoingEdge = edge; + if (!edge.from.firstOutgoingEdge) { + edge.from.firstOutgoingEdge = edge; } - this.nodes[indexOfNode(from) + LAST_OUT] = indexToHash(index); return true; } @@ -541,17 +794,14 @@ export default class AdjacencyList { return index; } - *getAllEdges(): Iterator> { - for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { - let nextEdge = this.nodes[i + FIRST_OUT]; - while (nextEdge) { - let edgeIndex = hashToIndex(nextEdge); - yield { - from: toNodeId(this.edges[edgeIndex + FROM]), - to: toNodeId(this.edges[edgeIndex + TO]), - type: deletedThrows((this.edges[edgeIndex + TYPE]: any)), - }; - nextEdge = this.edges[edgeIndex + NEXT_OUT]; + *getAllEdges(): Iterator<{| + type: TEdgeType | NullEdgeType, + from: NodeId, + to: NodeId, + |}> { + for (let node of Node.iterate(this.nodes, this.edges)) { + for (let edge of node.getOutgoingEdges()) { + yield {type: edge.type, from: edge.from.id, to: edge.to.id}; } } } @@ -580,112 +830,25 @@ export default class AdjacencyList { // The edge is not in the graph; do nothing. return; } - - // Remove outgoing ref to this edge from incoming node. - let nextOutHash = this.edges[index + NEXT_OUT]; - let firstOutHash = this.nodes[indexOfNode(from) + FIRST_OUT]; - let lastOutHash = this.nodes[indexOfNode(from) + LAST_OUT]; - - if (hashToIndex(firstOutHash) === index) { - this.nodes[indexOfNode(from) + FIRST_OUT] = nextOutHash; - } else { - let prevOutHash = firstOutHash; - let nextHash = firstOutHash; - do { - nextHash = this.edges[hashToIndex(nextHash) + NEXT_OUT]; - // If the edge at nextHash is the edge we're trying to remove, set the - // NEXT_OUT of the previous edge to the NEXT_OUT of the edge we're trying - // to remove - if (hashToIndex(nextHash) === index) { - this.edges[hashToIndex(prevOutHash) + NEXT_OUT] = nextOutHash; - // if we're not trying to remove LAST_OUT, we can stop here - if (hashToIndex(lastOutHash) !== index) { - break; - } - } - // If we're trying to remove the LAST_OUT, and LAST_OUT is the next hash, - // set LAST_OUT to the prev hash - if (nextHash === lastOutHash && index === hashToIndex(lastOutHash)) { - this.nodes[indexOfNode(from) + LAST_OUT] = prevOutHash; - break; - } - prevOutHash = nextHash; - } while (nextHash !== lastOutHash); - } - - // Remove incoming ref to this edge from to outgoing node. - let nextInHash = this.edges[index + NEXT_IN]; - let firstInHash = this.nodes[indexOfNode(to) + FIRST_IN]; - let lastInHash = this.nodes[indexOfNode(to) + LAST_IN]; - if (hashToIndex(firstInHash) === index) { - this.nodes[indexOfNode(to) + FIRST_IN] = nextInHash; - } else { - let prevInHash = firstInHash; - let nextHash = firstInHash; - do { - nextHash = this.edges[hashToIndex(nextHash) + NEXT_IN]; - // If the edge at nextHash is the edge we're trying to remove, set the - // NEXT_IN of the previous edge to the NEXT_IN of the edge we're trying - // to remove - if (hashToIndex(nextHash) === index) { - this.edges[hashToIndex(prevInHash) + NEXT_IN] = nextInHash; - // if we're not trying to remove LAST_IN, we can stop here - if (hashToIndex(lastInHash) !== index) { - break; - } - } - // If we're trying to remove the LAST_IN, and LAST_IN is the next hash, - // set LAST_IN to the prev hash - if (nextHash === lastInHash && index === hashToIndex(lastInHash)) { - this.nodes[indexOfNode(to) + LAST_IN] = prevInHash; - break; - } - prevInHash = nextHash; - } while (nextHash !== lastInHash); - } - - // Mark this slot as DELETED. - // We do this so that clustered edges can still be found - // by scanning forward in the array from the first index for - // the cluster. - this.edges[index + TYPE] = DELETED; - this.edges[index + FROM] = 0; - this.edges[index + TO] = 0; - this.edges[index + NEXT_IN] = 0; - this.edges[index + NEXT_OUT] = 0; - + Edge.deleteAt(index, this.nodes, this.edges, from, to); this.numEdges--; } *getInboundEdgesByType( to: NodeId, ): Iterator<{|type: TEdgeType, from: NodeId|}> { - for ( - let hash = this.nodes[indexOfNode(to) + FIRST_IN]; - hash; - hash = this.edges[hashToIndex(hash) + NEXT_IN] - ) { - let i = hashToIndex(hash); - yield { - type: deletedThrows((this.edges[i + TYPE]: any)), - from: toNodeId(this.edges[i + FROM]), - }; + let node = new Node(to, this.nodes, this.edges); + for (let edge of node.getIncomingEdges()) { + yield {type: deletedThrows(edge.type), from: edge.from.id}; } } *getOutboundEdgesByType( from: NodeId, ): Iterator<{|type: TEdgeType, to: NodeId|}> { - for ( - let hash = this.nodes[indexOfNode(from) + FIRST_OUT]; - hash; - hash = this.edges[hashToIndex(hash) + NEXT_OUT] - ) { - let i = hashToIndex(hash); - yield { - type: deletedThrows((this.edges[i + TYPE]: any)), - to: toNodeId(this.edges[i + TO]), - }; + let node = new Node(from, this.nodes, this.edges); + for (let edge of node.getOutgoingEdges()) { + yield {type: deletedThrows(edge.type), to: edge.to.id}; } } @@ -714,28 +877,24 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): Iterator { + let node = new Node(from, this.nodes, this.edges); let seen = new Set(); - for ( - let hash = this.nodes[indexOfNode(from) + FIRST_OUT]; - hash; - hash = this.edges[hashToIndex(hash) + NEXT_OUT] - ) { - let i = hashToIndex(hash); - let edgeType = deletedThrows(this.edges[i + TYPE]); - let to = this.edges[i + TO]; + for (let edge of node.getOutgoingEdges()) { + let edgeType = deletedThrows(edge.type); + let to = edge.to.id; if (seen.has(to)) continue; if (Array.isArray(type)) { for (let typeNum of type) { if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { seen.add(to); - yield toNodeId(to); + yield to; break; } } } else { if (type === ALL_EDGE_TYPES || edgeType === type) { seen.add(to); - yield toNodeId(to); + yield to; } } } @@ -752,28 +911,25 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): Iterator { + let node = new Node(to, this.nodes, this.edges); let seen = new Set(); - for ( - let hash = this.nodes[indexOfNode(to) + FIRST_IN]; - hash; - hash = this.edges[hashToIndex(hash) + NEXT_IN] - ) { - let i = hashToIndex(hash); - let edgeType = deletedThrows(this.edges[i + TYPE]); - let from = this.edges[i + FROM]; + + for (let edge of node.getIncomingEdges()) { + let edgeType = deletedThrows(edge.type); + let from = edge.from.id; if (seen.has(from)) continue; if (Array.isArray(type)) { for (let typeNum of type) { if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { seen.add(from); - yield toNodeId(from); + yield from; break; } } } else { if (type === ALL_EDGE_TYPES || edgeType === type) { seen.add(from); - yield toNodeId(from); + yield from; } } } From 47fe2c4dae7e926ac4d346239dafa0bd47f22c72 Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 6 Jul 2021 17:27:09 -0700 Subject: [PATCH 073/117] Add prevIn/prevOut references for constant time removal in removeEdge --- packages/core/core/src/AdjacencyList.js | 131 ++++++++++++------------ 1 file changed, 63 insertions(+), 68 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 987cae73407..72b29b4730f 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -32,24 +32,28 @@ export const NODE_SIZE = 4; * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. * The third 4 bytes are the id of the 'to' node. - * The fourth 4 bytes are the hash of the 'to' node's next incoming edge. - * The fifth 4 bytes are the hash of the 'from' node's next outgoing edge. + * The fourth 4 bytes are the hash of the 'to' node's previous incoming edge. + * The fifth 4 bytes are the hash of the 'from' node's previous incoming edge. + * The sixth 4 bytes are the hash of the 'to' node's next incoming edge. + * The seventh 4 bytes are the hash of the 'from' node's next outgoing edge. * * struct Edge { * int type; * int from; * int to; + * int prevIn; + * int prevOut; * int nextIn; * int nextOut; * } * - * ┌────────────────────────────────────────────────────────────────┐ - * │ EDGE_SIZE │ - * ├────────────┬────────────┬────────────┬────────────┬────────────┤ - * │ TYPE │ FROM │ TO │ NEXT_IN │ NEXT_OUT │ - * └────────────┴────────────┴────────────┴────────────┴────────────┘ + * ┌──────────────────────────────────────────────────────────────────────────────────────────┐ + * │ EDGE_SIZE │ + * ├────────────┬────────────┬────────────┬────────────┬────────────┬────────────┬────────────┤ + * │ TYPE │ FROM │ TO │ PREV_IN │ PREV_OUT │ NEXT_IN │ NEXT_OUT │ + * └────────────┴────────────┴────────────┴────────────┴────────────┴────────────┴────────────┘ */ -export const EDGE_SIZE = 5; +export const EDGE_SIZE = 7; /** The offset from an edge index at which the edge type is stored. */ const TYPE: 0 = 0; @@ -57,10 +61,14 @@ const TYPE: 0 = 0; const FROM: 1 = 1; /** The offset from an edge index at which the 'to' node id is stored. */ const TO: 2 = 2; +/** The offset from an edge index at which the hash of the 'to' node's previous incoming edge is stored. */ +const PREV_IN: 3 = 3; +/** The offset from an edge index at which the hash of the 'from' node's previous incoming edge is stored. */ +const PREV_OUT: 4 = 4; /** The offset from an edge index at which the hash of the 'to' node's next incoming edge is stored. */ -const NEXT_IN: 3 = 3; +const NEXT_IN: 5 = 5; /** The offset from an edge index at which the hash of the 'from' node's next incoming edge is stored. */ -const NEXT_OUT: 4 = 4; +const NEXT_OUT: 6 = 6; /** The offset from a node index at which the hash of the first incoming edge is stored. */ const FIRST_IN: 0 = 0; @@ -253,10 +261,10 @@ export class Edge { hash, from, to, - nextOutgoingEdge, - nextIncomingEdge, previousOutgoingEdge, previousIncomingEdge, + nextOutgoingEdge, + nextIncomingEdge, } = new Edge(index, nodes, edges); if (to.firstIncomingEdge?.hash === hash) { to.firstIncomingEdge = nextIncomingEdge; @@ -270,6 +278,12 @@ export class Edge { if (from.lastOutgoingEdge?.hash === hash) { from.lastOutgoingEdge = previousOutgoingEdge; } + if (nextOutgoingEdge) { + nextOutgoingEdge.previousOutgoingEdge = previousOutgoingEdge; + } + if (nextIncomingEdge) { + nextIncomingEdge.previousIncomingEdge = previousIncomingEdge; + } if (previousOutgoingEdge) { previousOutgoingEdge.nextOutgoingEdge = nextOutgoingEdge; } @@ -283,6 +297,8 @@ export class Edge { edges[index + TYPE] = DELETED; edges[index + FROM] = 0; edges[index + TO] = 0; + edges[index + PREV_IN] = 0; + edges[index + PREV_OUT] = 0; edges[index + NEXT_IN] = 0; edges[index + NEXT_OUT] = 0; } @@ -352,7 +368,11 @@ export class Edge { } get previousIncomingEdge(): Edge | null { - return this._findEdgeBefore(NEXT_IN); + return this._findEdgeBefore(PREV_IN); + } + set previousIncomingEdge(edge: Edge | null) { + let prevHash = edge?.hash ?? 0; + this.#edges[this.index + PREV_IN] = prevHash; } get nextOutgoingEdge(): Edge | null { @@ -364,55 +384,25 @@ export class Edge { } get previousOutgoingEdge(): Edge | null { - return this._findEdgeBefore(NEXT_OUT); + return this._findEdgeBefore(PREV_OUT); + } + set previousOutgoingEdge(edge: Edge | null) { + let prevHash = edge?.hash ?? 0; + this.#edges[this.index + PREV_OUT] = prevHash; } _findEdgeBefore( - direction: typeof NEXT_IN | typeof NEXT_OUT, + direction: typeof PREV_IN | typeof PREV_OUT, ): Edge | null { - let node = direction === NEXT_IN ? this.to : this.from; - if (direction === NEXT_IN && node.firstIncomingEdge?.hash === this.hash) { - return null; - } - if (direction === NEXT_OUT && node.firstOutgoingEdge?.hash === this.hash) { - return null; - } - let forward = - direction === NEXT_IN ? node.getIncomingEdges() : node.getOutgoingEdges(); - let {value: prev} = forward.next(); - while (prev) { - let value; - ({value} = forward.next()); - if (value?.hash === this.hash) { - return prev; - } - prev = value; - } - return null; + let prevHash = this.#edges[this.index + direction]; + return prevHash ? Edge.fromHash(prevHash, this.#nodes, this.#edges) : null; } _findEdgeAfter( direction: typeof NEXT_IN | typeof NEXT_OUT, ): Edge | null { - let node = direction === NEXT_IN ? this.to : this.from; - if (direction === NEXT_IN && node.lastIncomingEdge?.hash === this.hash) { - return null; - } - if (direction === NEXT_OUT && node.lastOutgoingEdge?.hash === this.hash) { - return null; - } - let forward = - direction === NEXT_IN ? node.getIncomingEdges() : node.getOutgoingEdges(); - let {value: prev} = forward.next(); - while (prev) { - let value; - ({value} = forward.next()); - if (prev?.hash === this.hash) { - return value ?? null; - } - prev = value; - } - return null; + let nextHash = this.#edges[this.index + direction]; + return nextHash ? Edge.fromHash(nextHash, this.#nodes, this.#edges) : null; } } export default class AdjacencyList { @@ -585,6 +575,7 @@ export default class AdjacencyList { ); } if (lastEdge != null) { + edge.previousOutgoingEdge = lastEdge; // If this edge is not the first outgoing edge from the current node, // link this edge to the last outgoing edge copied. lastEdge.nextOutgoingEdge = edge; @@ -625,6 +616,7 @@ export default class AdjacencyList { ); } if (lastEdge != null) { + edge.previousIncomingEdge = lastEdge; // If this edge is not the first incoming edge to the current node, // link this edge to the last incoming edge copied. lastEdge.nextIncomingEdge = edge; @@ -704,6 +696,7 @@ export default class AdjacencyList { let edge = Edge.insertAt(index, from, to, type, this.nodes, this.edges); if (edge.to.lastIncomingEdge) { edge.to.lastIncomingEdge.nextIncomingEdge = edge; + edge.previousIncomingEdge = edge.to.lastIncomingEdge; } edge.to.lastIncomingEdge = edge; if (!edge.to.firstIncomingEdge) { @@ -711,6 +704,7 @@ export default class AdjacencyList { } if (edge.from.lastOutgoingEdge) { edge.from.lastOutgoingEdge.nextOutgoingEdge = edge; + edge.previousOutgoingEdge = edge.from.lastOutgoingEdge; } edge.from.lastOutgoingEdge = edge; if (!edge.from.firstOutgoingEdge) { @@ -763,17 +757,19 @@ export default class AdjacencyList { * */ indexFor(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { - if (this.hasEdge(from, to, type)) { - return -1; - } + // if (this.hasEdge(from, to, type)) { + // return -1; + // } let index = hashToIndex(this.hash(from, to, type)); // we scan the `edges` array for the next empty slot after the `index`. // We do this instead of simply using the `index` because it is possible // for multiple edges to have the same hash. + let deletedEdge = 0; while (this.edges[index + TYPE]) { // If the edge at this index was deleted, we can reuse the slot. - if (isDeleted(this.edges[index + TYPE])) break; - if ( + if (isDeleted(this.edges[index + TYPE])) { + deletedEdge = index; + } else if ( this.edges[index + FROM] === from && this.edges[index + TO] === to && // if type === ALL_EDGE_TYPES, return all edges @@ -781,17 +777,16 @@ export default class AdjacencyList { ) { // If this edge is already in the graph, bail out. return -1; - } else { - // There is already an edge at `hash`, - // so scan forward for the next open slot to use as the the `hash`. - // Note that each 'slot' is of size `EDGE_SIZE`. - // Also note that we handle overflow of `edges` by wrapping - // back to the beginning of the `edges` array. - index = (index + EDGE_SIZE) % this.edges.length; } + // There is already an edge at `hash`, + // so scan forward for the next open slot to use as the the `hash`. + // Note that each 'slot' is of size `EDGE_SIZE`. + // Also note that we handle overflow of `edges` by wrapping + // back to the beginning of the `edges` array. + index = (index + EDGE_SIZE) % this.edges.length; } - - return index; + // If we find a deleted edge, use it. Otherwise, use the next empty edge + return deletedEdge ? deletedEdge : index; } *getAllEdges(): Iterator<{| @@ -830,7 +825,7 @@ export default class AdjacencyList { // The edge is not in the graph; do nothing. return; } - Edge.deleteAt(index, this.nodes, this.edges, from, to); + Edge.deleteAt(index, this.nodes, this.edges); this.numEdges--; } From 50a8ba6a6c5ef60c73f8588a335ee3a5e5542ab3 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 6 Jul 2021 18:47:23 -0400 Subject: [PATCH 074/117] Add inspection methods to Node, Edge This makes console logging a little more readable during debugging --- packages/core/core/src/AdjacencyList.js | 90 +++++++++++++++++++++++++ 1 file changed, 90 insertions(+) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 72b29b4730f..f25b2f39eb5 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -1,6 +1,7 @@ // @flow import {digraph} from 'graphviz'; import {spawn} from 'child_process'; +import {inspect} from 'util'; import assert from 'assert'; import {fromNodeId, toNodeId} from './types'; import type {NullEdgeType, AllEdgeTypes} from './Graph'; @@ -218,6 +219,42 @@ export class Node { value = Edge.fromHash(nextHash, this.#nodes, this.#edges); } } + + toJSON(): {| + id: number, + firstIncomingEdge: number | null, + firstOutgoingEdge: number | null, + lastIncomingEdge: number | null, + lastoutgoingEdge: number | null, + |} { + return JSON.parse( + JSON.stringify({ + id: this.id, + firstIncomingEdge: this.firstIncomingEdge?.hash ?? null, + firstOutgoingEdge: this.firstOutgoingEdge?.hash ?? null, + lastIncomingEdge: this.lastIncomingEdge?.hash ?? null, + lastOutgoingEdge: this.lastOutgoingEdge?.hash ?? null, + }), + ); + } + + toString(): string { + return `Node [${fromNodeId(this.id)}]`; + } + + valueOf(): NodeId { + return this.id; + } + + // $FlowFixMe[unsupported-syntax] + [inspect.custom](_, opts) { + return opts.stylize(this.toString()); + } + + // $FlowFixMe[unsupported-syntax] + get [Symbol.toStringTag]() { + return String(this.id); + } } export class Edge { @@ -404,6 +441,59 @@ export class Edge { let nextHash = this.#edges[this.index + direction]; return nextHash ? Edge.fromHash(nextHash, this.#nodes, this.#edges) : null; } + + toJSON(): {| + hash: number, + from: number, + to: number, + type: number, + nextIncomingEdge: number | null, + nextOutgoingEdge: number | null, + previousIncomingEdge: number | null, + previousOutgoingEdge: number | null, + |} { + const { + hash, + from, + to, + type, + nextIncomingEdge, + previousIncomingEdge, + nextOutgoingEdge, + previousOutgoingEdge, + } = this; + return JSON.parse( + JSON.stringify({ + hash, + type, + from, + to, + nextIncomingEdge: nextIncomingEdge?.hash ?? null, + previousIncomingEdge: previousIncomingEdge?.hash ?? null, + nextOutgoingEdge: nextOutgoingEdge?.hash ?? null, + previousOutgoingEdge: previousOutgoingEdge?.hash ?? null, + }), + ); + } + + toString(): string { + const {hash, from, to, type} = this; + return `Edge [${hash}] (${type}) { ${[from, '=>', to].join(' ')} }`; + } + + valueOf(): EdgeHash { + return this.hash; + } + + // $FlowFixMe[unsupported-syntax] + [inspect.custom](_, opts) { + return opts.stylize(this.toString()); + } + + // $FlowFixMe[unsupported-syntax] + get [Symbol.toStringTag]() { + return String(this.hash); + } } export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ From cc18c5b791371108864e5afa2518eccd98833545 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 6 Jul 2021 18:56:29 -0400 Subject: [PATCH 075/117] Move edge linking out of Edge statics We'll try to make AdjacencyList be responsible for all linking, while Edge/Node are just responsible for reading/writing to/from the node and edge arrays. --- packages/core/core/src/AdjacencyList.js | 66 ++++++++++++------------- 1 file changed, 33 insertions(+), 33 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index f25b2f39eb5..f3ea62033e7 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -294,39 +294,6 @@ export class Edge { } static deleteAt(index: number, nodes: Uint32Array, edges: Uint32Array) { - let { - hash, - from, - to, - previousOutgoingEdge, - previousIncomingEdge, - nextOutgoingEdge, - nextIncomingEdge, - } = new Edge(index, nodes, edges); - if (to.firstIncomingEdge?.hash === hash) { - to.firstIncomingEdge = nextIncomingEdge; - } - if (to.lastIncomingEdge?.hash === hash) { - to.lastIncomingEdge = previousIncomingEdge; - } - if (from.firstOutgoingEdge?.hash === hash) { - from.firstOutgoingEdge = nextOutgoingEdge; - } - if (from.lastOutgoingEdge?.hash === hash) { - from.lastOutgoingEdge = previousOutgoingEdge; - } - if (nextOutgoingEdge) { - nextOutgoingEdge.previousOutgoingEdge = previousOutgoingEdge; - } - if (nextIncomingEdge) { - nextIncomingEdge.previousIncomingEdge = previousIncomingEdge; - } - if (previousOutgoingEdge) { - previousOutgoingEdge.nextOutgoingEdge = nextOutgoingEdge; - } - if (previousIncomingEdge) { - previousIncomingEdge.nextIncomingEdge = nextIncomingEdge; - } // Mark this slot as DELETED. // We do this so that clustered edges can still be found // by scanning forward in the array from the first index for @@ -915,7 +882,40 @@ export default class AdjacencyList { // The edge is not in the graph; do nothing. return; } + + let edge = new Edge(index, this.nodes, this.edges); + // If the edge's `to` node references this edge as + // its first incoming edge, update it to the next incoming edge. + if (edge.to.firstIncomingEdge?.hash === edge.hash) { + edge.to.firstIncomingEdge = edge.nextIncomingEdge; + } + // If the edge's `to` node references this edge as + // its last incoming edge, update it to the previous incoming edge. + if (edge.to.lastIncomingEdge?.hash === edge.hash) { + edge.to.lastIncomingEdge = edge.previousIncomingEdge; + } + // If the edge's `from` node references this edge as + // its first outgoing edge, update it to the previous outgoing edge. + if (edge.from.firstOutgoingEdge?.hash === edge.hash) { + edge.from.firstOutgoingEdge = edge.nextOutgoingEdge; + } + // If the edge's `from` node references this edge as + // its last outgoing edge, update it to the previous outgoing edge. + if (edge.from.lastOutgoingEdge?.hash === edge.hash) { + edge.from.lastOutgoingEdge = edge.previousOutgoingEdge; + } + // Splice this edge from the `from` node's list of outgoing edges. + if (edge.previousOutgoingEdge) { + edge.previousOutgoingEdge.nextOutgoingEdge = edge.nextOutgoingEdge; + } + // Splice this edge from the `to` node's list of incoming edges. + if (edge.previousIncomingEdge) { + edge.previousIncomingEdge.nextIncomingEdge = edge.nextIncomingEdge; + } + + // Mark this space in the edges array as deleted. Edge.deleteAt(index, this.nodes, this.edges); + this.numEdges--; } From 95b5a1822275150785f7145df1c20a01738767ce Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 8 Jul 2021 12:43:31 -0400 Subject: [PATCH 076/117] Update indexOf/indexFor to default to null edge type Aslo remove some old code --- packages/core/core/src/AdjacencyList.js | 24 +++++++++++++----------- 1 file changed, 13 insertions(+), 11 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index f3ea62033e7..4ecc17c2418 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -112,20 +112,17 @@ export type SerializedAdjacencyList = {| |}; opaque type EdgeHash = number; + /** Get the hash of the edge at the given index in the edges array. */ const indexToHash = (index: number): EdgeHash => index + 1; + /** Get the index in the edges array of the given edge. */ const hashToIndex = (hash: EdgeHash) => Math.max(0, hash - 1); -opaque type EdgeType = number; -/** remove these for now in favor of preventing 0 edge types in Graph */ -/** `1` is added to the type to allow a type value of `0`. */ -// const fromEdgeType = (type: EdgeType): number => type + 1; -// const toEdgeType = (id: number) => Math.max(0, id - 1); - /** Get the id of the node at the given index in the nodes array. */ const nodeAt = (index: number): NodeId => toNodeId((index - (index % NODE_SIZE)) / NODE_SIZE); + /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; @@ -776,7 +773,11 @@ export default class AdjacencyList { * * If an edge connecting `from` and `to` does not exist, returns `-1`. */ - indexOf(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { + indexOf( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): number { let index = hashToIndex(this.hash(from, to, type)); // We want to avoid scanning the array forever, // so keep track of where we start scanning from. @@ -813,10 +814,11 @@ export default class AdjacencyList { * otherwise, returns the index at which the edge should be added. * */ - indexFor(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { - // if (this.hasEdge(from, to, type)) { - // return -1; - // } + indexFor( + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType = 1, + ): number { let index = hashToIndex(this.hash(from, to, type)); // we scan the `edges` array for the next empty slot after the `index`. // We do this instead of simply using the `index` because it is possible From b3c94fe747d5a3a6f5b22f0b7ce15c99d12a0a40 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 8 Jul 2021 14:47:46 -0400 Subject: [PATCH 077/117] Simplify resizing; add Edge and Node tests --- packages/core/core/src/AdjacencyList.js | 389 ++++++++---------- packages/core/core/test/AdjacencyList.test.js | 238 ++++++++++- 2 files changed, 417 insertions(+), 210 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 4ecc17c2418..6bb7ef27184 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -126,94 +126,152 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; +/** A view of the Node data stored in the `AdjacencyList` at a given index. */ export class Node { - #id: NodeId; - #nodes: Uint32Array; - #edges: Uint32Array; + +index: number; + +graph: AdjacencyList; - constructor(id: NodeId, nodes: Uint32Array, edges: Uint32Array) { - this.#id = id; - this.#nodes = nodes; - this.#edges = edges; + constructor() { + throw new Error('use Node.at() or Node.fromId()'); } - static at( - index: number, - nodes: Uint32Array, - edges: Uint32Array, - ): Node { - return new Node(nodeAt(index), nodes, edges); + static fromId(id: NodeId, graph: AdjacencyList): Node { + let index = indexOfNode(id); + assert( + index >= 0 && index <= graph.nodes.length - NODE_SIZE, + `${index} is outside of the range (0, ${graph.nodes.length - + NODE_SIZE}).`, + ); + // TODO: Pool these objects so we don't create so many? + let node = Object.create(Node.prototype, { + index: {value: index, writable: false, configurable: true}, + graph: {value: graph, writable: false, configurable: true}, + }); + return node; + } + + static at(index: number, graph: AdjacencyList): Node { + return Node.fromId(nodeAt(index), graph); } + /** Iterate over all of the node data in the `AdjacencyList`. */ static *iterate( - nodes: Uint32Array, - edges: Uint32Array, + graph: AdjacencyList, + max: number = graph.numNodes, ): Iterator> { - for (let i = 0; i < nodes.length; i += NODE_SIZE) { - yield Node.at(i, nodes, edges); + let count = 0; + for (let i = 0; i < graph.nodes.length; i += NODE_SIZE) { + if (count++ >= max) break; + yield Node.at(i, graph); } } get id(): NodeId { - return this.#id; - } - - get index(): number { - return indexOfNode(this.#id); + return nodeAt(this.index); } + /** Gets or sets the first outgoing edge from this node. */ get firstOutgoingEdge(): Edge | null { - let hash = this.#nodes[this.index + FIRST_OUT]; - return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + let hash = this.graph.nodes[this.index + FIRST_OUT]; + return hash ? Edge.fromHash(hash, this.graph) : null; } set firstOutgoingEdge(edge: Edge | null) { - this.#nodes[this.index + FIRST_OUT] = edge?.hash ?? 0; + if (edge) { + assert( + edge.from.id === this.id, + `Cannot link edge from ${String(edge.from.id)} to node ${String( + this.id, + )}.`, + ); + } + this.graph.nodes[this.index + FIRST_OUT] = edge?.hash ?? 0; } + /** Gets or sets the last outgoing edge from this node. */ get lastOutgoingEdge(): Edge | null { - let hash = this.#nodes[this.index + LAST_OUT]; - return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + let hash = this.graph.nodes[this.index + LAST_OUT]; + return hash ? Edge.fromHash(hash, this.graph) : null; } set lastOutgoingEdge(edge: Edge | null) { - this.#nodes[this.index + LAST_OUT] = edge?.hash ?? 0; + if (edge) { + assert( + edge.from.id === this.id, + `Cannot link edge from ${String(edge.from.id)} to node ${String( + this.id, + )}.`, + ); + } + this.graph.nodes[this.index + LAST_OUT] = edge?.hash ?? 0; } + /** Gets or sets the first incoming edge to this node. */ get firstIncomingEdge(): Edge | null { - let hash = this.#nodes[this.index + FIRST_IN]; - return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + let hash = this.graph.nodes[this.index + FIRST_IN]; + return hash ? Edge.fromHash(hash, this.graph) : null; } set firstIncomingEdge(edge: Edge | null) { - this.#nodes[this.index + FIRST_IN] = edge?.hash ?? 0; + if (edge) { + assert( + edge.to.id === this.id, + `Cannot link edge to ${String(edge.to.id)} to node ${String(this.id)}.`, + ); + } + this.graph.nodes[this.index + FIRST_IN] = edge?.hash ?? 0; } + /** Gets or sets the last incoming edge to this node. */ get lastIncomingEdge(): Edge | null { - let hash = this.#nodes[this.index + LAST_IN]; - return hash ? Edge.fromHash(hash, this.#nodes, this.#edges) : null; + let hash = this.graph.nodes[this.index + LAST_IN]; + return hash ? Edge.fromHash(hash, this.graph) : null; } set lastIncomingEdge(edge: Edge | null) { - this.#nodes[this.index + LAST_IN] = edge?.hash ?? 0; + if (edge) { + assert( + edge.to.id === this.id, + `Cannot link edge to ${String(edge.to.id)} to node ${String(this.id)}.`, + ); + } + this.graph.nodes[this.index + LAST_IN] = edge?.hash ?? 0; } + /** Gets all incoming edges to this node. */ *getIncomingEdges(): Iterator> { let start = this.firstIncomingEdge; if (start) yield* this._iterateEdges(NEXT_IN, start); } + /** Gets all incoming edges to this node, starting from the last incoming edge. */ + *getIncomingEdgesReverse(): Iterator> { + let start = this.lastIncomingEdge; + if (start) yield* this._iterateEdges(PREV_IN, start); + } + + /** Gets all outgoing edges to this node. */ *getOutgoingEdges(): Iterator> { let start = this.firstOutgoingEdge; if (start) yield* this._iterateEdges(NEXT_OUT, start); } + /** Gets all outgoing edges to this node, starting from the last outgoing edge. */ + *getOutgoingEdgesReverse(): Iterator> { + let start = this.lastOutgoingEdge; + if (start) yield* this._iterateEdges(PREV_OUT, start); + } + *_iterateEdges( - direction: typeof NEXT_IN | typeof NEXT_OUT, + direction: + | typeof PREV_IN + | typeof PREV_OUT + | typeof NEXT_IN + | typeof NEXT_OUT, edge: Edge, ): Iterator> { let value = edge; while (value) { yield value; - let nextHash = this.#edges[value.index + direction]; + let nextHash = this.graph.edges[value.index + direction]; if (!nextHash) break; - value = Edge.fromHash(nextHash, this.#nodes, this.#edges); + value = Edge.fromHash(nextHash, this.graph); } } @@ -254,25 +312,35 @@ export class Node { } } +/** A view of the Edge data stored in the `AdjacencyList` at a given `index`. */ export class Edge { - #index: number; - #nodes: Uint32Array; - #edges: Uint32Array; + +index: number; + +graph: AdjacencyList; - constructor(index: number, nodes: Uint32Array, edges: Uint32Array) { - assert(index >= 0 && index < edges.length); - this.#index = index; - this.#nodes = nodes; - this.#edges = edges; + constructor() { + throw new Error('Use Edge.at(), Edge.fromHash(), or Edge.insertAt()'); } static fromHash( hash: EdgeHash, - nodes: Uint32Array, - edges: Uint32Array, + graph: AdjacencyList, ): Edge { - assert(hash > 0); - return new Edge(hashToIndex(hash), nodes, edges); + let index = hashToIndex(hash); + assert( + index >= 0 && index <= graph.edges.length - EDGE_SIZE, + `${index} is outside of the range (0, ${graph.edges.length - + EDGE_SIZE}).`, + ); + // TODO: Pool these objects so we don't create so many? + let edge = Object.create(Edge.prototype, { + index: {value: index, writable: false, configurable: true}, + graph: {value: graph, writable: false, configurable: true}, + }); + return edge; + } + + static at(index: number, graph: AdjacencyList): Edge { + return Edge.fromHash(indexToHash(index), graph); } static insertAt( @@ -280,80 +348,49 @@ export class Edge { from: NodeId, to: NodeId, type: TEdgeType, - nodes: Uint32Array, - edges: Uint32Array, + graph: AdjacencyList, ): Edge { - let edge = new Edge(index, nodes, edges); - edges[index + TYPE] = type; - edges[index + FROM] = fromNodeId(from); - edges[index + TO] = fromNodeId(to); - return edge; + graph.edges[index + TYPE] = type; + graph.edges[index + FROM] = fromNodeId(from); + graph.edges[index + TO] = fromNodeId(to); + return Edge.at(index, graph); } - static deleteAt(index: number, nodes: Uint32Array, edges: Uint32Array) { + static deleteAt(index: number, graph: AdjacencyList) { // Mark this slot as DELETED. // We do this so that clustered edges can still be found // by scanning forward in the array from the first index for // the cluster. - edges[index + TYPE] = DELETED; - edges[index + FROM] = 0; - edges[index + TO] = 0; - edges[index + PREV_IN] = 0; - edges[index + PREV_OUT] = 0; - edges[index + NEXT_IN] = 0; - edges[index + NEXT_OUT] = 0; - } - - /** - * Scan the edges array for contiguous edges, - * starting from the edge matching the given `hash`. - */ - static *scan( - hash: EdgeHash, - nodes: Uint32Array, - edges: Uint32Array, - ): Iterator> { - let index = hashToIndex(hash); - // We want to avoid scanning the array forever, - // so keep track of where we start scanning from. - let startIndex = index; - while (edges[index + TYPE]) { - yield new Edge(index, nodes, edges); - // Our array is circular, - // so when we find the end of the array, - // we continue scanning from the start of the array. - index = (index + EDGE_SIZE) % edges.length; - // We have scanned the whole array. - if (index === startIndex) break; - } + graph.edges[index + TYPE] = DELETED; + graph.edges[index + FROM] = 0; + graph.edges[index + TO] = 0; + graph.edges[index + PREV_IN] = 0; + graph.edges[index + PREV_OUT] = 0; + graph.edges[index + NEXT_IN] = 0; + graph.edges[index + NEXT_OUT] = 0; } get hash(): EdgeHash { - return indexToHash(this.#index); + return indexToHash(this.index); } get index(): number { - return this.#index; + return this.index; } get type(): TEdgeType { - return (this.#edges[this.index + TYPE]: any); + return (this.graph.edges[this.index + TYPE]: any); } get from(): Node { - return new Node( - toNodeId(this.#edges[this.index + FROM]), - this.#nodes, - this.#edges, + return Node.fromId( + toNodeId(this.graph.edges[this.index + FROM]), + this.graph, ); } get to(): Node { - return new Node( - toNodeId(this.#edges[this.index + TO]), - this.#nodes, - this.#edges, - ); + return Node.fromId(toNodeId(this.graph.edges[this.index + TO]), this.graph); } get isDeleted(): boolean { @@ -365,7 +402,7 @@ export class Edge { } set nextIncomingEdge(edge: Edge | null) { let nextHash = edge?.hash ?? 0; - this.#edges[this.index + NEXT_IN] = nextHash; + this.graph.edges[this.index + NEXT_IN] = nextHash; } get previousIncomingEdge(): Edge | null { @@ -373,7 +410,7 @@ export class Edge { } set previousIncomingEdge(edge: Edge | null) { let prevHash = edge?.hash ?? 0; - this.#edges[this.index + PREV_IN] = prevHash; + this.graph.edges[this.index + PREV_IN] = prevHash; } get nextOutgoingEdge(): Edge | null { @@ -381,7 +418,7 @@ export class Edge { } set nextOutgoingEdge(edge: Edge | null) { let nextHash = edge?.hash ?? 0; - this.#edges[this.index + NEXT_OUT] = nextHash; + this.graph.edges[this.index + NEXT_OUT] = nextHash; } get previousOutgoingEdge(): Edge | null { @@ -389,21 +426,21 @@ export class Edge { } set previousOutgoingEdge(edge: Edge | null) { let prevHash = edge?.hash ?? 0; - this.#edges[this.index + PREV_OUT] = prevHash; + this.graph.edges[this.index + PREV_OUT] = prevHash; } _findEdgeBefore( direction: typeof PREV_IN | typeof PREV_OUT, ): Edge | null { - let prevHash = this.#edges[this.index + direction]; - return prevHash ? Edge.fromHash(prevHash, this.#nodes, this.#edges) : null; + let prevHash = this.graph.edges[this.index + direction]; + return prevHash ? Edge.fromHash(prevHash, this.graph) : null; } _findEdgeAfter( direction: typeof NEXT_IN | typeof NEXT_OUT, ): Edge | null { - let nextHash = this.#edges[this.index + direction]; - return nextHash ? Edge.fromHash(nextHash, this.#nodes, this.#edges) : null; + let nextHash = this.graph.edges[this.index + direction]; + return nextHash ? Edge.fromHash(nextHash, this.graph) : null; } toJSON(): {| @@ -459,6 +496,7 @@ export class Edge { return String(this.hash); } } + export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ nodeCapacity: number; @@ -592,100 +630,21 @@ export default class AdjacencyList { * the allocated size of the `edges` array. */ resizeEdges(size: number) { - /** The edge list to be copied to the resized list. */ - let edges = this.edges; - // Allocate the required space for an `edges` array of the given `size`. - this.edges = new Uint32Array(size * EDGE_SIZE); - this.edgeCapacity = size; - this.copyEdges(edges); - } + // Allocate the required space for new `nodes` and `edges` arrays. + let copy = new AdjacencyList(this.nodeCapacity, size); + copy.numNodes = this.numNodes; - /** - * Copy the edges in the given array into the internal edges array. - */ - copyEdges(edges: Uint32Array) { // For each node in the graph, copy the existing edges into the new array. - for (let from of Node.iterate(this.nodes, edges)) { - /** The last edge copied. */ - let lastEdge = null; - // Copy all of the outgoing edges. - for (let {to, type} of from.getOutgoingEdges()) { - let edge; - /** The index at which to copy this edge. */ - let index = this.indexFor(from.id, to.id, type); - if (index === -1) { - // Edge already copied? - index = this.indexOf(from.id, to.id, type); - edge = new Edge(index, this.nodes, this.edges); - } else { - // Copy the details of the edge into the new edge list. - edge = Edge.insertAt( - index, - from.id, - to.id, - type, - this.nodes, - this.edges, - ); - } - if (lastEdge != null) { - edge.previousOutgoingEdge = lastEdge; - // If this edge is not the first outgoing edge from the current node, - // link this edge to the last outgoing edge copied. - lastEdge.nextOutgoingEdge = edge; - } else { - // If this edge is the first outgoing edge from the current node, - // link this edge to the current node. - from.firstOutgoingEdge = edge; - } - // Keep track of the last outgoing edge copied. - lastEdge = edge; + for (let from of Node.iterate(this)) { + for (let edge of from.getOutgoingEdges()) { + copy.addEdge(edge.from.id, edge.to.id, edge.type); } - // Link the last copied outging edge from the current node. - from.lastOutgoingEdge = lastEdge; - - // Reset lastEdge for use while copying incoming edges. - lastEdge = null; - - // Now we're copying incoming edges, so `from` becomes `to`. - let to = from; - // Copy all of the outgoing edges. - for (let {from, type} of to.getIncomingEdges()) { - let edge; - /** The index at which to copy this edge. */ - let index = this.indexFor(from.id, to.id, type); - if (index === -1) { - // Edge already copied? - index = this.indexOf(from.id, to.id, type); - edge = new Edge(index, this.nodes, this.edges); - } else { - // Copy the details of the edge into the new edge list. - edge = Edge.insertAt( - index, - from.id, - to.id, - type, - this.nodes, - this.edges, - ); - } - if (lastEdge != null) { - edge.previousIncomingEdge = lastEdge; - // If this edge is not the first incoming edge to the current node, - // link this edge to the last incoming edge copied. - lastEdge.nextIncomingEdge = edge; - } else { - // If this edge is the first incoming edge to the current node, - // link this edge to the current node. - to.firstIncomingEdge = edge; - } - - // Keep track of the last edge copied. - lastEdge = edge; - } - // Link the last copied incoming edge to the current node. - to.lastIncomingEdge = lastEdge; } + + // Finally, copy the new data arrays over to this graph. + this.nodes = copy.nodes; + this.edges = copy.edges; + this.edgeCapacity = size; } /** @@ -747,7 +706,7 @@ export default class AdjacencyList { this.numEdges++; - let edge = Edge.insertAt(index, from, to, type, this.nodes, this.edges); + let edge = Edge.insertAt(index, from, to, (type: any), this); if (edge.to.lastIncomingEdge) { edge.to.lastIncomingEdge.nextIncomingEdge = edge; edge.previousIncomingEdge = edge.to.lastIncomingEdge; @@ -853,7 +812,7 @@ export default class AdjacencyList { from: NodeId, to: NodeId, |}> { - for (let node of Node.iterate(this.nodes, this.edges)) { + for (let node of Node.iterate(this, this.numNodes)) { for (let edge of node.getOutgoingEdges()) { yield {type: edge.type, from: edge.from.id, to: edge.to.id}; } @@ -885,7 +844,7 @@ export default class AdjacencyList { return; } - let edge = new Edge(index, this.nodes, this.edges); + let edge = Edge.at(index, this); // If the edge's `to` node references this edge as // its first incoming edge, update it to the next incoming edge. if (edge.to.firstIncomingEdge?.hash === edge.hash) { @@ -914,9 +873,17 @@ export default class AdjacencyList { if (edge.previousIncomingEdge) { edge.previousIncomingEdge.nextIncomingEdge = edge.nextIncomingEdge; } + // Splice this edge from the `from` node's list of outgoing edges. + if (edge.nextOutgoingEdge) { + edge.nextOutgoingEdge.previousOutgoingEdge = edge.previousOutgoingEdge; + } + // Splice this edge from the `to` node's list of incoming edges. + if (edge.nextIncomingEdge) { + edge.nextIncomingEdge.previousIncomingEdge = edge.previousIncomingEdge; + } // Mark this space in the edges array as deleted. - Edge.deleteAt(index, this.nodes, this.edges); + Edge.deleteAt(index, this); this.numEdges--; } @@ -924,7 +891,7 @@ export default class AdjacencyList { *getInboundEdgesByType( to: NodeId, ): Iterator<{|type: TEdgeType, from: NodeId|}> { - let node = new Node(to, this.nodes, this.edges); + let node = Node.fromId(to, this); for (let edge of node.getIncomingEdges()) { yield {type: deletedThrows(edge.type), from: edge.from.id}; } @@ -933,7 +900,7 @@ export default class AdjacencyList { *getOutboundEdgesByType( from: NodeId, ): Iterator<{|type: TEdgeType, to: NodeId|}> { - let node = new Node(from, this.nodes, this.edges); + let node = Node.fromId(from, this); for (let edge of node.getOutgoingEdges()) { yield {type: deletedThrows(edge.type), to: edge.to.id}; } @@ -964,7 +931,7 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): Iterator { - let node = new Node(from, this.nodes, this.edges); + let node = Node.fromId(from, this); let seen = new Set(); for (let edge of node.getOutgoingEdges()) { let edgeType = deletedThrows(edge.type); @@ -998,7 +965,7 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): Iterator { - let node = new Node(to, this.nodes, this.edges); + let node = Node.fromId(to, this); let seen = new Set(); for (let edge of node.getIncomingEdges()) { @@ -1028,7 +995,7 @@ export default class AdjacencyList { * This hash is used to index the edge in the `edges` array. * */ - hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): number { + hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): EdgeHash { // A crude multiplicative hash, in 4 steps: // 1. Serialize the args into an integer that reflects the argument order, // shifting the magnitude of each argument by the sum @@ -1119,6 +1086,8 @@ function toDot(data: AdjacencyList): string { let type = data.edges[index + TYPE]; let from = data.edges[index + FROM]; let to = data.edges[index + TO]; + let prevIn = data.edges[index + PREV_IN]; + let prevOut = data.edges[index + PREV_OUT]; let nextIn = data.edges[index + NEXT_IN]; let nextOut = data.edges[index + NEXT_OUT]; // TODO: add type to label? @@ -1131,7 +1100,7 @@ function toDot(data: AdjacencyList): string { ); adjacencyList.addNode(`edge${label}`, { - label: `edge ${label} | { ${type} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, + label: `edge ${label} | { ${type} | ${from} | ${to} | ${prevIn} | ${prevOut} | ${nextIn} | ${nextOut} }`, }); adjacencyList.addEdge(`edge${label}`, `node${from}`, { @@ -1255,6 +1224,8 @@ function edgesToDot(data: AdjacencyList): string { if (type && !isDeleted(type)) { let from = data.edges[i + FROM]; let to = data.edges[i + TO]; + let prevIn = data.edges[i + PREV_IN]; + let prevOut = data.edges[i + PREV_OUT]; let nextIn = data.edges[i + NEXT_IN]; let nextOut = data.edges[i + NEXT_OUT]; @@ -1277,7 +1248,7 @@ function edgesToDot(data: AdjacencyList): string { edges.addNode(`edge${i}`, { label: `${indexToHash( i, - )} | {${type} | ${from} | ${to} | ${nextIn} | ${nextOut}}`, + )} | {${type} | ${from} | ${to} | ${prevIn} | ${prevOut} | ${nextIn} | ${nextOut}}`, }); if (lastOut !== i) { diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 826cb5680e6..939f6af83a3 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -3,11 +3,13 @@ import assert from 'assert'; import AdjacencyList, { + Edge, + Node, NODE_SIZE, EDGE_SIZE, isDeleted, } from '../src/AdjacencyList'; -import {toNodeId} from '../src/types'; +import {toNodeId, fromNodeId} from '../src/types'; describe('AdjacencyList', () => { it('constructor should initialize an empty graph', () => { @@ -224,4 +226,238 @@ describe('AdjacencyList', () => { assert(graph.edges[index] > 0); assert(!isDeleted(graph.edges[index])); }); + + describe('Node', () => { + it('should create a view on data in nodes array', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 2); + + let index = graph.indexOf(n0, n1, 2); + let node0 = Node.at(fromNodeId(n0) * NODE_SIZE, graph); + let node1 = Node.at(fromNodeId(n1) * NODE_SIZE, graph); + assert.equal(node0.firstOutgoingEdge?.index, index); + assert.equal(node0.firstIncomingEdge?.index, undefined); + assert.equal(node0.lastOutgoingEdge?.index, index); + assert.equal(node0.lastIncomingEdge?.index, undefined); + + assert.equal(node1.firstOutgoingEdge?.index, undefined); + assert.equal(node1.firstIncomingEdge?.index, index); + assert.equal(node1.lastOutgoingEdge?.index, undefined); + assert.equal(node1.lastIncomingEdge?.index, index); + + graph.addEdge(n0, n1, 3); + let index2 = graph.indexOf(n0, n1, 3); + + assert.equal(node0.firstOutgoingEdge?.index, index); + assert.equal(node0.firstIncomingEdge?.index, undefined); + assert.equal(node0.lastOutgoingEdge?.index, index2); + assert.equal(node0.lastIncomingEdge?.index, undefined); + + assert.equal(node1.firstOutgoingEdge?.index, undefined); + assert.equal(node1.firstIncomingEdge?.index, index); + assert.equal(node1.lastOutgoingEdge?.index, undefined); + assert.equal(node1.lastIncomingEdge?.index, index2); + }); + + it('fromId should return a new Node view when list has resized', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 2); + let node0 = Node.fromId(n0, graph); + let node1 = Node.fromId(n1, graph); + graph.resizeEdges(graph.edgeCapacity * 2); + assert(node0 !== Node.fromId(n0, graph)); + assert(node1 !== Node.fromId(n1, graph)); + }); + + it('firstOutgoingEdge should return the first outgoing edge from the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let node0 = Node.fromId(n0, graph); + let edge1 = Edge.at(graph.indexOf(n0, n1), graph); + assert.equal(edge1.hash, node0.firstOutgoingEdge?.hash); + }); + + it('lastOutgoingEdge should return the last outgoing edge from the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let node0 = Node.fromId(n0, graph); + let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); + assert.equal(edge3.hash, node0.lastOutgoingEdge?.hash); + }); + + it('firstIncomingEdge should return the first incoming edge from the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let node1 = Node.fromId(n1, graph); + let edge1 = Edge.at(graph.indexOf(n0, n1), graph); + assert.equal(edge1.hash, node1.firstIncomingEdge?.hash); + }); + + it('lastIncomingEdge should return the last incoming edge from the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let node1 = Node.fromId(n1, graph); + let edge1 = Edge.at(graph.indexOf(n0, n1, 2), graph); + assert.equal(edge1.hash, node1.lastIncomingEdge?.hash); + }); + }); + + describe('Edge', () => { + it('should create a view on data in edges array', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 2); + + let index = graph.indexOf(n0, n1, 2); + let edge = Edge.at(index, graph); + assert.equal(edge.index, index); + assert.equal(edge.type, 2); + assert.equal(edge.from.id, 0); + assert.equal(edge.to.id, 1); + }); + + it('fromHash should return a new Edge view when list has resized', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 2); + let hash = graph.hash(n0, n1, 2); + let edge = Edge.fromHash(hash, graph); + graph.resizeEdges(graph.edgeCapacity * 2); + assert(edge !== Edge.fromHash(hash, graph)); + }); + + it('nextOutgoingEdge should return the next outgoing edge from the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let edge1 = Edge.at(graph.indexOf(n0, n1), graph); + let edge2 = Edge.at(graph.indexOf(n0, n2), graph); + let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); + + assert.equal(edge1.nextOutgoingEdge?.hash, edge2.hash); + assert.equal(edge1.nextOutgoingEdge?.nextOutgoingEdge?.hash, edge3.hash); + assert.equal( + edge1.nextOutgoingEdge?.nextOutgoingEdge?.nextOutgoingEdge?.hash, + undefined, + ); + + assert.equal(edge2.nextOutgoingEdge?.hash, edge3.hash); + assert.equal(edge2.nextOutgoingEdge?.nextOutgoingEdge?.hash, undefined); + + assert.equal(edge3.nextOutgoingEdge?.hash, undefined); + }); + + it('nextIncomingEdge should return the next incoming edge to the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let edge1 = Edge.at(graph.indexOf(n0, n1), graph); + let edge2 = Edge.at(graph.indexOf(n0, n2), graph); + let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); + + assert.equal(edge1.nextIncomingEdge?.hash, edge3.hash); + assert.equal(edge1.nextIncomingEdge?.nextIncomingEdge?.hash, undefined); + + assert.equal(edge2.nextIncomingEdge?.hash, undefined); + + assert.equal(edge3.nextIncomingEdge?.hash, undefined); + }); + + it('previousOutgoingEdge should return the previous outgoing edge from the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let edge1 = Edge.at(graph.indexOf(n0, n1), graph); + let edge2 = Edge.at(graph.indexOf(n0, n2), graph); + let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); + + assert.equal(edge3.previousOutgoingEdge?.hash, edge2.hash); + assert.equal( + edge3.previousOutgoingEdge?.previousOutgoingEdge?.hash, + edge1.hash, + ); + assert.equal( + edge3.previousOutgoingEdge?.previousOutgoingEdge?.previousOutgoingEdge + ?.hash, + undefined, + ); + + assert.equal(edge2.previousOutgoingEdge?.hash, edge1.hash); + assert.equal( + edge2.previousOutgoingEdge?.previousOutgoingEdge?.hash, + undefined, + ); + + assert.equal(edge1.previousOutgoingEdge?.hash, undefined); + }); + + it('previousIncomingEdge should return the previous incoming edge to the node', () => { + let graph = new AdjacencyList(); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + let n2 = graph.addNode(); + graph.addEdge(n0, n1); + graph.addEdge(n0, n2); + graph.addEdge(n0, n1, 2); + + let edge1 = Edge.at(graph.indexOf(n0, n1), graph); + let edge2 = Edge.at(graph.indexOf(n0, n2), graph); + let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); + + assert.equal(edge1.previousIncomingEdge?.hash, undefined); + + assert.equal(edge2.previousIncomingEdge?.hash, undefined); + + assert.equal(edge3.previousIncomingEdge?.hash, edge1.hash); + assert.equal( + edge3.previousIncomingEdge?.previousIncomingEdge?.hash, + undefined, + ); + }); + }); }); From 40678f4e2f2f1c684bdd442b9e056a5c7eb1acc2 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Mon, 12 Jul 2021 20:28:26 -0400 Subject: [PATCH 078/117] Speed up traversal to/from a node by edge type. This adds a lookup table by type to or from a given node, so that it is trivial to frequently get a given node's connected nodes of a given type. --- packages/core/core/src/AdjacencyList.js | 130 +++++++++++++++++------- 1 file changed, 91 insertions(+), 39 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 6bb7ef27184..3e30002f5d3 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -3,6 +3,7 @@ import {digraph} from 'graphviz'; import {spawn} from 'child_process'; import {inspect} from 'util'; import assert from 'assert'; +import {DefaultMap} from '@parcel/utils'; import {fromNodeId, toNodeId} from './types'; import type {NullEdgeType, AllEdgeTypes} from './Graph'; import type {NodeId} from './types'; @@ -510,6 +511,10 @@ export default class AdjacencyList { numNodes: number; /** The count of the number of edges in the graph. */ numEdges: number; + /** A map of node ids from => through types => to node ids. */ + fromTypeMap: DefaultMap>>; + /** A map of node ids to => through types => from node ids. */ + toTypeMap: DefaultMap>>; constructor(nodeCapacity: number = 128, edgeCapacity: number = 256) { this.nodeCapacity = nodeCapacity; @@ -521,6 +526,9 @@ export default class AdjacencyList { this.edges = new Uint32Array(edgeCapacity * EDGE_SIZE); this.numNodes = 0; this.numEdges = 0; + + this.fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); + this.toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); } /** @@ -645,6 +653,26 @@ export default class AdjacencyList { this.nodes = copy.nodes; this.edges = copy.edges; this.edgeCapacity = size; + this.fromTypeMap = copy.fromTypeMap; + this.toTypeMap = copy.toTypeMap; + } + + /** Create mappings from => type => to and vice versa. */ + buildTypeMaps() { + this.fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); + this.toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); + for (let node of Node.iterate(this)) { + for (let edge of node.getOutgoingEdges()) { + this.fromTypeMap + .get(node.id) + .get(edge.type) + .add(edge.to.id); + this.toTypeMap + .get(edge.to.id) + .get(edge.type) + .add(node.id); + } + } } /** @@ -707,6 +735,17 @@ export default class AdjacencyList { this.numEdges++; let edge = Edge.insertAt(index, from, to, (type: any), this); + + this.fromTypeMap + ?.get(from) + .get(type) + .add(to); + + this.toTypeMap + ?.get(to) + .get(type) + .add(from); + if (edge.to.lastIncomingEdge) { edge.to.lastIncomingEdge.nextIncomingEdge = edge; edge.previousIncomingEdge = edge.to.lastIncomingEdge; @@ -812,7 +851,7 @@ export default class AdjacencyList { from: NodeId, to: NodeId, |}> { - for (let node of Node.iterate(this, this.numNodes)) { + for (let node of Node.iterate(this)) { for (let edge of node.getOutgoingEdges()) { yield {type: edge.type, from: edge.from.id, to: edge.to.id}; } @@ -882,6 +921,16 @@ export default class AdjacencyList { edge.nextIncomingEdge.previousIncomingEdge = edge.previousIncomingEdge; } + this.fromTypeMap + ?.get(from) + .get(type) + .delete(to); + + this.toTypeMap + ?.get(to) + .get(type) + .delete(from); + // Mark this space in the edges array as deleted. Edge.deleteAt(index, this); @@ -931,26 +980,28 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): Iterator { - let node = Node.fromId(from, this); - let seen = new Set(); - for (let edge of node.getOutgoingEdges()) { - let edgeType = deletedThrows(edge.type); - let to = edge.to.id; - if (seen.has(to)) continue; - if (Array.isArray(type)) { - for (let typeNum of type) { - if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { - seen.add(to); - yield to; - break; - } - } - } else { - if (type === ALL_EDGE_TYPES || edgeType === type) { - seen.add(to); - yield to; - } + if (!this.fromTypeMap || !this.toTypeMap) this.buildTypeMaps(); + + let isAllEdgeTypes = + type === ALL_EDGE_TYPES || + (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); + + if (isAllEdgeTypes) { + for (let [, to] of this.fromTypeMap.get(from)) { + yield* to; + } + } else if (Array.isArray(type)) { + for (let typeNum of type) { + yield* this.fromTypeMap + .get(from) + .get((typeNum: any)) + .values(); } + } else { + yield* this.fromTypeMap + .get(from) + .get((type: any)) + .values(); } } @@ -965,27 +1016,28 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): Iterator { - let node = Node.fromId(to, this); - let seen = new Set(); + if (!this.fromTypeMap || !this.toTypeMap) this.buildTypeMaps(); - for (let edge of node.getIncomingEdges()) { - let edgeType = deletedThrows(edge.type); - let from = edge.from.id; - if (seen.has(from)) continue; - if (Array.isArray(type)) { - for (let typeNum of type) { - if (typeNum === ALL_EDGE_TYPES || edgeType === typeNum) { - seen.add(from); - yield from; - break; - } - } - } else { - if (type === ALL_EDGE_TYPES || edgeType === type) { - seen.add(from); - yield from; - } + let isAllEdgeTypes = + type === ALL_EDGE_TYPES || + (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); + + if (isAllEdgeTypes) { + for (let [, from] of this.toTypeMap.get(to)) { + yield* from; + } + } else if (Array.isArray(type)) { + for (let typeNum of type) { + yield* this.toTypeMap + .get(to) + .get((typeNum: any)) + .values(); } + } else { + yield* this.toTypeMap + .get(to) + .get((type: any)) + .values(); } } From 6c9d750dfbe26b0b43d4ddf396e856daac8d95b8 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 13 Jul 2021 10:27:46 -0400 Subject: [PATCH 079/117] Use type map when generating typed edges --- packages/core/core/src/AdjacencyList.js | 25 ++++++++++++++++--------- 1 file changed, 16 insertions(+), 9 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 3e30002f5d3..3db34a72aa4 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -851,9 +851,12 @@ export default class AdjacencyList { from: NodeId, to: NodeId, |}> { - for (let node of Node.iterate(this)) { - for (let edge of node.getOutgoingEdges()) { - yield {type: edge.type, from: edge.from.id, to: edge.to.id}; + if (!this.toTypeMap || !this.fromTypeMap) this.buildTypeMaps(); + for (let [from, toTypeMap] of this.fromTypeMap) { + for (let [type, toNodes] of toTypeMap) { + for (let to of toNodes) { + yield {type: (type: any), from, to}; + } } } } @@ -940,18 +943,22 @@ export default class AdjacencyList { *getInboundEdgesByType( to: NodeId, ): Iterator<{|type: TEdgeType, from: NodeId|}> { - let node = Node.fromId(to, this); - for (let edge of node.getIncomingEdges()) { - yield {type: deletedThrows(edge.type), from: edge.from.id}; + if (!this.toTypeMap) this.buildTypeMaps(); + for (let [type, nodes] of this.toTypeMap.get(to)) { + for (let from of nodes) { + yield {type: (type: any), from}; + } } } *getOutboundEdgesByType( from: NodeId, ): Iterator<{|type: TEdgeType, to: NodeId|}> { - let node = Node.fromId(from, this); - for (let edge of node.getOutgoingEdges()) { - yield {type: deletedThrows(edge.type), to: edge.to.id}; + if (!this.fromTypeMap) this.buildTypeMaps(); + for (let [type, nodes] of this.fromTypeMap.get(from)) { + for (let to of nodes) { + yield {type: (type: any), to}; + } } } From 2251a45350a57ac72ec56e7a3911ae0ca74261c0 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 13 Jul 2021 16:06:45 -0400 Subject: [PATCH 080/117] Add maxCollisions stat --- packages/core/core/src/AdjacencyList.js | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 3db34a72aa4..bc3f6069bb8 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -576,8 +576,10 @@ export default class AdjacencyList { edgeCapacity: number, /** The current load on the edges array. */ edgeLoad: number, - /** The number of edge hash collisions. */ + /** The total number of edge hash collisions. */ collisions: number, + /** The number of collisions for the most common hash. */ + maxCollisions: number, /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ uniformity: number, |} { @@ -592,10 +594,12 @@ export default class AdjacencyList { buckets.set(hash, bucket); } + let maxCollisions = 0; let collisions = 0; let distribution = 0; for (let bucket of buckets.values()) { + maxCollisions = Math.max(maxCollisions, bucket.size - 1); collisions += bucket.size - 1; distribution += (bucket.size * (bucket.size + 1)) / 2; } @@ -612,6 +616,7 @@ export default class AdjacencyList { edgeCapacity, edgeLoad: numEdges / edgeCapacity, collisions, + maxCollisions, uniformity, }; } From 6e79ee5bf3d2629b1f133d43dfdce9c2f0d65db1 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 13 Jul 2021 16:04:07 -0400 Subject: [PATCH 081/117] Merge Edge and Node into AdjacencyList The overhead associated with these two data structures was not negligible, so a better choice is to use methods on AdjacencyList instead of creating Edge and Node views. --- packages/core/core/src/AdjacencyList.js | 668 ++++++++---------------- 1 file changed, 223 insertions(+), 445 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index bc3f6069bb8..c453fcd086b 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -1,7 +1,6 @@ // @flow import {digraph} from 'graphviz'; import {spawn} from 'child_process'; -import {inspect} from 'util'; import assert from 'assert'; import {DefaultMap} from '@parcel/utils'; import {fromNodeId, toNodeId} from './types'; @@ -95,11 +94,6 @@ export function isDeleted(type: TEdgeType): boolean { return type === DELETED; } -function deletedThrows(type: TEdgeType): TEdgeType { - if (isDeleted(type)) throw new Error('Edge was deleted!'); - return type; -} - export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; // eslint-disable-next-line no-unused-vars @@ -127,377 +121,6 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; -/** A view of the Node data stored in the `AdjacencyList` at a given index. */ -export class Node { - +index: number; - +graph: AdjacencyList; - - constructor() { - throw new Error('use Node.at() or Node.fromId()'); - } - - static fromId(id: NodeId, graph: AdjacencyList): Node { - let index = indexOfNode(id); - assert( - index >= 0 && index <= graph.nodes.length - NODE_SIZE, - `${index} is outside of the range (0, ${graph.nodes.length - - NODE_SIZE}).`, - ); - // TODO: Pool these objects so we don't create so many? - let node = Object.create(Node.prototype, { - index: {value: index, writable: false, configurable: true}, - graph: {value: graph, writable: false, configurable: true}, - }); - return node; - } - - static at(index: number, graph: AdjacencyList): Node { - return Node.fromId(nodeAt(index), graph); - } - - /** Iterate over all of the node data in the `AdjacencyList`. */ - static *iterate( - graph: AdjacencyList, - max: number = graph.numNodes, - ): Iterator> { - let count = 0; - for (let i = 0; i < graph.nodes.length; i += NODE_SIZE) { - if (count++ >= max) break; - yield Node.at(i, graph); - } - } - - get id(): NodeId { - return nodeAt(this.index); - } - - /** Gets or sets the first outgoing edge from this node. */ - get firstOutgoingEdge(): Edge | null { - let hash = this.graph.nodes[this.index + FIRST_OUT]; - return hash ? Edge.fromHash(hash, this.graph) : null; - } - set firstOutgoingEdge(edge: Edge | null) { - if (edge) { - assert( - edge.from.id === this.id, - `Cannot link edge from ${String(edge.from.id)} to node ${String( - this.id, - )}.`, - ); - } - this.graph.nodes[this.index + FIRST_OUT] = edge?.hash ?? 0; - } - - /** Gets or sets the last outgoing edge from this node. */ - get lastOutgoingEdge(): Edge | null { - let hash = this.graph.nodes[this.index + LAST_OUT]; - return hash ? Edge.fromHash(hash, this.graph) : null; - } - set lastOutgoingEdge(edge: Edge | null) { - if (edge) { - assert( - edge.from.id === this.id, - `Cannot link edge from ${String(edge.from.id)} to node ${String( - this.id, - )}.`, - ); - } - this.graph.nodes[this.index + LAST_OUT] = edge?.hash ?? 0; - } - - /** Gets or sets the first incoming edge to this node. */ - get firstIncomingEdge(): Edge | null { - let hash = this.graph.nodes[this.index + FIRST_IN]; - return hash ? Edge.fromHash(hash, this.graph) : null; - } - set firstIncomingEdge(edge: Edge | null) { - if (edge) { - assert( - edge.to.id === this.id, - `Cannot link edge to ${String(edge.to.id)} to node ${String(this.id)}.`, - ); - } - this.graph.nodes[this.index + FIRST_IN] = edge?.hash ?? 0; - } - - /** Gets or sets the last incoming edge to this node. */ - get lastIncomingEdge(): Edge | null { - let hash = this.graph.nodes[this.index + LAST_IN]; - return hash ? Edge.fromHash(hash, this.graph) : null; - } - set lastIncomingEdge(edge: Edge | null) { - if (edge) { - assert( - edge.to.id === this.id, - `Cannot link edge to ${String(edge.to.id)} to node ${String(this.id)}.`, - ); - } - this.graph.nodes[this.index + LAST_IN] = edge?.hash ?? 0; - } - - /** Gets all incoming edges to this node. */ - *getIncomingEdges(): Iterator> { - let start = this.firstIncomingEdge; - if (start) yield* this._iterateEdges(NEXT_IN, start); - } - - /** Gets all incoming edges to this node, starting from the last incoming edge. */ - *getIncomingEdgesReverse(): Iterator> { - let start = this.lastIncomingEdge; - if (start) yield* this._iterateEdges(PREV_IN, start); - } - - /** Gets all outgoing edges to this node. */ - *getOutgoingEdges(): Iterator> { - let start = this.firstOutgoingEdge; - if (start) yield* this._iterateEdges(NEXT_OUT, start); - } - - /** Gets all outgoing edges to this node, starting from the last outgoing edge. */ - *getOutgoingEdgesReverse(): Iterator> { - let start = this.lastOutgoingEdge; - if (start) yield* this._iterateEdges(PREV_OUT, start); - } - - *_iterateEdges( - direction: - | typeof PREV_IN - | typeof PREV_OUT - | typeof NEXT_IN - | typeof NEXT_OUT, - edge: Edge, - ): Iterator> { - let value = edge; - while (value) { - yield value; - let nextHash = this.graph.edges[value.index + direction]; - if (!nextHash) break; - value = Edge.fromHash(nextHash, this.graph); - } - } - - toJSON(): {| - id: number, - firstIncomingEdge: number | null, - firstOutgoingEdge: number | null, - lastIncomingEdge: number | null, - lastoutgoingEdge: number | null, - |} { - return JSON.parse( - JSON.stringify({ - id: this.id, - firstIncomingEdge: this.firstIncomingEdge?.hash ?? null, - firstOutgoingEdge: this.firstOutgoingEdge?.hash ?? null, - lastIncomingEdge: this.lastIncomingEdge?.hash ?? null, - lastOutgoingEdge: this.lastOutgoingEdge?.hash ?? null, - }), - ); - } - - toString(): string { - return `Node [${fromNodeId(this.id)}]`; - } - - valueOf(): NodeId { - return this.id; - } - - // $FlowFixMe[unsupported-syntax] - [inspect.custom](_, opts) { - return opts.stylize(this.toString()); - } - - // $FlowFixMe[unsupported-syntax] - get [Symbol.toStringTag]() { - return String(this.id); - } -} - -/** A view of the Edge data stored in the `AdjacencyList` at a given `index`. */ -export class Edge { - +index: number; - +graph: AdjacencyList; - - constructor() { - throw new Error('Use Edge.at(), Edge.fromHash(), or Edge.insertAt()'); - } - - static fromHash( - hash: EdgeHash, - graph: AdjacencyList, - ): Edge { - let index = hashToIndex(hash); - assert( - index >= 0 && index <= graph.edges.length - EDGE_SIZE, - `${index} is outside of the range (0, ${graph.edges.length - - EDGE_SIZE}).`, - ); - // TODO: Pool these objects so we don't create so many? - let edge = Object.create(Edge.prototype, { - index: {value: index, writable: false, configurable: true}, - graph: {value: graph, writable: false, configurable: true}, - }); - return edge; - } - - static at(index: number, graph: AdjacencyList): Edge { - return Edge.fromHash(indexToHash(index), graph); - } - - static insertAt( - index: number, - from: NodeId, - to: NodeId, - type: TEdgeType, - graph: AdjacencyList, - ): Edge { - graph.edges[index + TYPE] = type; - graph.edges[index + FROM] = fromNodeId(from); - graph.edges[index + TO] = fromNodeId(to); - return Edge.at(index, graph); - } - - static deleteAt(index: number, graph: AdjacencyList) { - // Mark this slot as DELETED. - // We do this so that clustered edges can still be found - // by scanning forward in the array from the first index for - // the cluster. - graph.edges[index + TYPE] = DELETED; - graph.edges[index + FROM] = 0; - graph.edges[index + TO] = 0; - graph.edges[index + PREV_IN] = 0; - graph.edges[index + PREV_OUT] = 0; - graph.edges[index + NEXT_IN] = 0; - graph.edges[index + NEXT_OUT] = 0; - } - - get hash(): EdgeHash { - return indexToHash(this.index); - } - - get index(): number { - return this.index; - } - - get type(): TEdgeType { - return (this.graph.edges[this.index + TYPE]: any); - } - - get from(): Node { - return Node.fromId( - toNodeId(this.graph.edges[this.index + FROM]), - this.graph, - ); - } - - get to(): Node { - return Node.fromId(toNodeId(this.graph.edges[this.index + TO]), this.graph); - } - - get isDeleted(): boolean { - return isDeleted(this.type); - } - - get nextIncomingEdge(): Edge | null { - return this._findEdgeAfter(NEXT_IN); - } - set nextIncomingEdge(edge: Edge | null) { - let nextHash = edge?.hash ?? 0; - this.graph.edges[this.index + NEXT_IN] = nextHash; - } - - get previousIncomingEdge(): Edge | null { - return this._findEdgeBefore(PREV_IN); - } - set previousIncomingEdge(edge: Edge | null) { - let prevHash = edge?.hash ?? 0; - this.graph.edges[this.index + PREV_IN] = prevHash; - } - - get nextOutgoingEdge(): Edge | null { - return this._findEdgeAfter(NEXT_OUT); - } - set nextOutgoingEdge(edge: Edge | null) { - let nextHash = edge?.hash ?? 0; - this.graph.edges[this.index + NEXT_OUT] = nextHash; - } - - get previousOutgoingEdge(): Edge | null { - return this._findEdgeBefore(PREV_OUT); - } - set previousOutgoingEdge(edge: Edge | null) { - let prevHash = edge?.hash ?? 0; - this.graph.edges[this.index + PREV_OUT] = prevHash; - } - - _findEdgeBefore( - direction: typeof PREV_IN | typeof PREV_OUT, - ): Edge | null { - let prevHash = this.graph.edges[this.index + direction]; - return prevHash ? Edge.fromHash(prevHash, this.graph) : null; - } - - _findEdgeAfter( - direction: typeof NEXT_IN | typeof NEXT_OUT, - ): Edge | null { - let nextHash = this.graph.edges[this.index + direction]; - return nextHash ? Edge.fromHash(nextHash, this.graph) : null; - } - - toJSON(): {| - hash: number, - from: number, - to: number, - type: number, - nextIncomingEdge: number | null, - nextOutgoingEdge: number | null, - previousIncomingEdge: number | null, - previousOutgoingEdge: number | null, - |} { - const { - hash, - from, - to, - type, - nextIncomingEdge, - previousIncomingEdge, - nextOutgoingEdge, - previousOutgoingEdge, - } = this; - return JSON.parse( - JSON.stringify({ - hash, - type, - from, - to, - nextIncomingEdge: nextIncomingEdge?.hash ?? null, - previousIncomingEdge: previousIncomingEdge?.hash ?? null, - nextOutgoingEdge: nextOutgoingEdge?.hash ?? null, - previousOutgoingEdge: previousOutgoingEdge?.hash ?? null, - }), - ); - } - - toString(): string { - const {hash, from, to, type} = this; - return `Edge [${hash}] (${type}) { ${[from, '=>', to].join(' ')} }`; - } - - valueOf(): EdgeHash { - return this.hash; - } - - // $FlowFixMe[unsupported-syntax] - [inspect.custom](_, opts) { - return opts.stylize(this.toString()); - } - - // $FlowFixMe[unsupported-syntax] - get [Symbol.toStringTag]() { - return String(this.hash); - } -} - export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ nodeCapacity: number; @@ -620,6 +243,60 @@ export default class AdjacencyList { uniformity, }; } + /** Iterate over node ids in the `AdjacencyList`. */ + *iterateNodes(max: number = this.numNodes): Iterator { + let count = 0; + for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { + if (count++ >= max) break; + yield nodeAt(i); + } + } + + /** Iterate over outgoing edge hashes from the given `nodeId` the `AdjacencyList`. */ + *iterateOutgoingEdges(nodeId: NodeId): Iterator { + for ( + let hash = this.nodes[indexOfNode(nodeId) + FIRST_OUT]; + hash; + hash = this.edges[hashToIndex(hash) + NEXT_OUT] + ) { + yield hash; + } + } + + /** Iterate over incoming edge hashes to the given `nodeId` the `AdjacencyList`. */ + *iterateIncomingEdges(nodeId: NodeId): Iterator { + for ( + let hash = this.nodes[indexOfNode(nodeId) + FIRST_IN]; + hash; + hash = this.edges[hashToIndex(hash) + NEXT_IN] + ) { + yield hash; + } + } + + /** Check that the edge exists in the `AdjacencyList`. */ + edgeExists(edge: EdgeHash): boolean { + let type = (this.edges[hashToIndex(edge) + TYPE]: any); + return Boolean(type) && !isDeleted(type); + } + + /** Get the type of the given edge. */ + getEdgeType(edge: EdgeHash): TEdgeType { + assert(this.edgeExists(edge)); + return (this.edges[hashToIndex(edge) + TYPE]: any); + } + + /** Get the node id the given edge originates from */ + getFromNode(edge: EdgeHash): NodeId { + assert(this.edgeExists(edge)); + return toNodeId(this.edges[hashToIndex(edge) + FROM]); + } + + /** Get the node id the given edge terminates to. */ + getToNode(edge: EdgeHash): NodeId { + assert(this.edgeExists(edge)); + return toNodeId(this.edges[hashToIndex(edge) + TO]); + } /** * Resize the internal nodes array. @@ -648,9 +325,9 @@ export default class AdjacencyList { copy.numNodes = this.numNodes; // For each node in the graph, copy the existing edges into the new array. - for (let from of Node.iterate(this)) { - for (let edge of from.getOutgoingEdges()) { - copy.addEdge(edge.from.id, edge.to.id, edge.type); + for (let from of this.iterateNodes()) { + for (let edge of this.iterateOutgoingEdges(from)) { + copy.addEdge(from, this.getToNode(edge), this.getEdgeType(edge)); } } @@ -666,20 +343,100 @@ export default class AdjacencyList { buildTypeMaps() { this.fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); this.toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); - for (let node of Node.iterate(this)) { - for (let edge of node.getOutgoingEdges()) { + for (let node of this.iterateNodes()) { + for (let edge of this.iterateOutgoingEdges(node)) { this.fromTypeMap - .get(node.id) - .get(edge.type) - .add(edge.to.id); + .get(node) + .get(this.getEdgeType(edge)) + .add(this.getToNode(edge)); + } + for (let edge of this.iterateIncomingEdges(node)) { this.toTypeMap - .get(edge.to.id) - .get(edge.type) - .add(node.id); + .get(node) + .get(this.getEdgeType(edge)) + .add(this.getFromNode(edge)); } } } + /** Get or set the first outgoing edge from the given node. */ + firstOutgoingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { + if (edge !== undefined) { + this.nodes[indexOfNode(node) + FIRST_OUT] = edge ?? 0; + } + let hash = this.nodes[indexOfNode(node) + FIRST_OUT]; + return hash ? hash : null; + } + + /** Get or set the last outgoing edge from the given node. */ + lastOutgoingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { + if (edge !== undefined) { + this.nodes[indexOfNode(node) + LAST_OUT] = edge ?? 0; + } + let hash = this.nodes[indexOfNode(node) + LAST_OUT]; + return hash ? hash : null; + } + + /** Get or set the first incoming edge to the given node. */ + firstIncomingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { + if (edge !== undefined) { + this.nodes[indexOfNode(node) + FIRST_IN] = edge ?? 0; + } + let hash = this.nodes[indexOfNode(node) + FIRST_IN]; + return hash ? hash : null; + } + + /** Get or set the last incoming edge to the given node. */ + lastIncomingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { + if (edge !== undefined) { + this.nodes[indexOfNode(node) + LAST_IN] = edge ?? 0; + } + let hash = this.nodes[indexOfNode(node) + LAST_IN]; + return hash ? hash : null; + } + + /** Get or set the next outgoing edge from the given edge's originating node. */ + nextOutgoingEdge(edge: EdgeHash, next: ?(EdgeHash | null)): EdgeHash | null { + if (next !== undefined) { + this.edges[hashToIndex(edge) + NEXT_OUT] = next ?? 0; + } + let hash = this.edges[hashToIndex(edge) + NEXT_OUT]; + return hash ? hash : null; + } + + /** Get or set the previous outgoing edge from the given edge's originating node. */ + previousOutgoingEdge( + edge: EdgeHash, + previous: ?(EdgeHash | null), + ): EdgeHash | null { + if (previous !== undefined) { + this.edges[hashToIndex(edge) + PREV_OUT] = previous ?? 0; + } + let hash = this.edges[hashToIndex(edge) + PREV_OUT]; + return hash ? hash : null; + } + + /** Get or set the next incoming edge to the given edge's terminating node. */ + nextIncomingEdge(edge: EdgeHash, next: ?(EdgeHash | null)): EdgeHash | null { + if (next !== undefined) { + this.edges[hashToIndex(edge) + NEXT_IN] = next ?? 0; + } + let hash = this.edges[hashToIndex(edge) + NEXT_IN]; + return hash ? hash : null; + } + + /** Get or set the previous incoming edge to the given edge's terminating node. */ + previousIncomingEdge( + edge: EdgeHash, + previous: ?(EdgeHash | null), + ): EdgeHash | null { + if (previous !== undefined) { + this.edges[hashToIndex(edge) + PREV_IN] = previous ?? 0; + } + let hash = this.edges[hashToIndex(edge) + PREV_IN]; + return hash ? hash : null; + } + /** * Adds a node to the graph. * @@ -739,7 +496,28 @@ export default class AdjacencyList { this.numEdges++; - let edge = Edge.insertAt(index, from, to, (type: any), this); + this.edges[index + TYPE] = type; + this.edges[index + FROM] = fromNodeId(from); + this.edges[index + TO] = fromNodeId(to); + + let edge = indexToHash(index); + let lastIncoming = this.lastIncomingEdge(to); + if (lastIncoming) { + this.nextIncomingEdge(lastIncoming, edge); + this.previousIncomingEdge(edge, lastIncoming); + } + this.lastIncomingEdge(to, edge); + + if (!this.firstIncomingEdge(to)) this.firstIncomingEdge(to, edge); + + let lastOutgoing = this.lastOutgoingEdge(from); + if (lastOutgoing) { + this.nextOutgoingEdge(lastOutgoing, edge); + this.previousOutgoingEdge(edge, lastOutgoing); + } + this.lastOutgoingEdge(from, edge); + + if (!this.firstOutgoingEdge(from)) this.firstOutgoingEdge(from, edge); this.fromTypeMap ?.get(from) @@ -751,23 +529,6 @@ export default class AdjacencyList { .get(type) .add(from); - if (edge.to.lastIncomingEdge) { - edge.to.lastIncomingEdge.nextIncomingEdge = edge; - edge.previousIncomingEdge = edge.to.lastIncomingEdge; - } - edge.to.lastIncomingEdge = edge; - if (!edge.to.firstIncomingEdge) { - edge.to.firstIncomingEdge = edge; - } - if (edge.from.lastOutgoingEdge) { - edge.from.lastOutgoingEdge.nextOutgoingEdge = edge; - edge.previousOutgoingEdge = edge.from.lastOutgoingEdge; - } - edge.from.lastOutgoingEdge = edge; - if (!edge.from.firstOutgoingEdge) { - edge.from.firstOutgoingEdge = edge; - } - return true; } @@ -891,43 +652,40 @@ export default class AdjacencyList { return; } - let edge = Edge.at(index, this); - // If the edge's `to` node references this edge as - // its first incoming edge, update it to the next incoming edge. - if (edge.to.firstIncomingEdge?.hash === edge.hash) { - edge.to.firstIncomingEdge = edge.nextIncomingEdge; - } - // If the edge's `to` node references this edge as - // its last incoming edge, update it to the previous incoming edge. - if (edge.to.lastIncomingEdge?.hash === edge.hash) { - edge.to.lastIncomingEdge = edge.previousIncomingEdge; - } - // If the edge's `from` node references this edge as - // its first outgoing edge, update it to the previous outgoing edge. - if (edge.from.firstOutgoingEdge?.hash === edge.hash) { - edge.from.firstOutgoingEdge = edge.nextOutgoingEdge; - } - // If the edge's `from` node references this edge as - // its last outgoing edge, update it to the previous outgoing edge. - if (edge.from.lastOutgoingEdge?.hash === edge.hash) { - edge.from.lastOutgoingEdge = edge.previousOutgoingEdge; - } - // Splice this edge from the `from` node's list of outgoing edges. - if (edge.previousOutgoingEdge) { - edge.previousOutgoingEdge.nextOutgoingEdge = edge.nextOutgoingEdge; - } - // Splice this edge from the `to` node's list of incoming edges. - if (edge.previousIncomingEdge) { - edge.previousIncomingEdge.nextIncomingEdge = edge.nextIncomingEdge; - } - // Splice this edge from the `from` node's list of outgoing edges. - if (edge.nextOutgoingEdge) { - edge.nextOutgoingEdge.previousOutgoingEdge = edge.previousOutgoingEdge; - } - // Splice this edge from the `to` node's list of incoming edges. - if (edge.nextIncomingEdge) { - edge.nextIncomingEdge.previousIncomingEdge = edge.previousIncomingEdge; - } + /** The removed edge. */ + let edge = indexToHash(index); + /** The first incoming edge to the removed edge's terminus. */ + let firstIncoming = this.firstIncomingEdge(to); + /** The last incoming edge to the removed edge's terminus. */ + let lastIncoming = this.lastIncomingEdge(to); + /** The next incoming edge after the removed edge. */ + let nextIncoming = this.nextIncomingEdge(edge); + /** The previous incoming edge before the removed edge. */ + let previousIncoming = this.previousIncomingEdge(edge); + /** The first outgoing edge from the removed edge's origin. */ + let firstOutgoing = this.firstOutgoingEdge(from); + /** The last outgoing edge from the removed edge's origin. */ + let lastOutgoing = this.lastOutgoingEdge(from); + /** The next outgoing edge after the removed edge. */ + let nextOutgoing = this.nextOutgoingEdge(edge); + /** The previous outgoing edge before the removed edge. */ + let previousOutgoing = this.previousOutgoingEdge(edge); + + // Update the terminating node's first and last incoming edges. + if (firstIncoming === edge) this.firstIncomingEdge(to, nextIncoming); + if (lastIncoming === edge) this.lastIncomingEdge(to, previousIncoming); + + // Update the originating node's first and last outgoing edges. + if (firstOutgoing === edge) this.firstOutgoingEdge(from, nextOutgoing); + if (lastOutgoing === edge) this.lastOutgoingEdge(from, previousOutgoing); + + // Splice the removed edge out of the linked list of outgoing edges. + if (previousOutgoing) this.nextOutgoingEdge(previousOutgoing, nextOutgoing); + if (nextOutgoing) this.previousOutgoingEdge(nextOutgoing, previousOutgoing); + + // Splice the removed edge out of the linked list of incoming edges. + if (previousIncoming) this.nextIncomingEdge(previousIncoming, nextIncoming); + if (nextIncoming) this.previousIncomingEdge(nextIncoming, previousIncoming); this.fromTypeMap ?.get(from) @@ -939,8 +697,17 @@ export default class AdjacencyList { .get(type) .delete(from); - // Mark this space in the edges array as deleted. - Edge.deleteAt(index, this); + // Mark this slot as DELETED. + // We do this so that clustered edges can still be found + // by scanning forward in the array from the first index for + // the cluster. + this.edges[index + TYPE] = DELETED; + this.edges[index + FROM] = 0; + this.edges[index + TO] = 0; + this.edges[index + PREV_IN] = 0; + this.edges[index + PREV_OUT] = 0; + this.edges[index + NEXT_IN] = 0; + this.edges[index + NEXT_OUT] = 0; this.numEdges--; } @@ -1086,6 +853,17 @@ export default class AdjacencyList { return toDot(this); } } + + printNode(id: NodeId): string { + return `Node [${fromNodeId(id)}]`; + } + + printEdge(hash: EdgeHash): string { + const from = this.getFromNode(hash); + const to = this.getToNode(hash); + const type = this.getEdgeType(hash); + return `Edge [${hash}] (${type}) { ${[from, '=>', to].join(' ')} }`; + } } let nodeColor = {color: 'black', fontcolor: 'black'}; From d149d7168cdecdcfcec70d2cf616c88e9d5ec778 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 13 Jul 2021 19:16:09 -0400 Subject: [PATCH 082/117] Remove old tests --- packages/core/core/test/AdjacencyList.test.js | 238 +----------------- 1 file changed, 1 insertion(+), 237 deletions(-) diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 939f6af83a3..826cb5680e6 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -3,13 +3,11 @@ import assert from 'assert'; import AdjacencyList, { - Edge, - Node, NODE_SIZE, EDGE_SIZE, isDeleted, } from '../src/AdjacencyList'; -import {toNodeId, fromNodeId} from '../src/types'; +import {toNodeId} from '../src/types'; describe('AdjacencyList', () => { it('constructor should initialize an empty graph', () => { @@ -226,238 +224,4 @@ describe('AdjacencyList', () => { assert(graph.edges[index] > 0); assert(!isDeleted(graph.edges[index])); }); - - describe('Node', () => { - it('should create a view on data in nodes array', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 2); - - let index = graph.indexOf(n0, n1, 2); - let node0 = Node.at(fromNodeId(n0) * NODE_SIZE, graph); - let node1 = Node.at(fromNodeId(n1) * NODE_SIZE, graph); - assert.equal(node0.firstOutgoingEdge?.index, index); - assert.equal(node0.firstIncomingEdge?.index, undefined); - assert.equal(node0.lastOutgoingEdge?.index, index); - assert.equal(node0.lastIncomingEdge?.index, undefined); - - assert.equal(node1.firstOutgoingEdge?.index, undefined); - assert.equal(node1.firstIncomingEdge?.index, index); - assert.equal(node1.lastOutgoingEdge?.index, undefined); - assert.equal(node1.lastIncomingEdge?.index, index); - - graph.addEdge(n0, n1, 3); - let index2 = graph.indexOf(n0, n1, 3); - - assert.equal(node0.firstOutgoingEdge?.index, index); - assert.equal(node0.firstIncomingEdge?.index, undefined); - assert.equal(node0.lastOutgoingEdge?.index, index2); - assert.equal(node0.lastIncomingEdge?.index, undefined); - - assert.equal(node1.firstOutgoingEdge?.index, undefined); - assert.equal(node1.firstIncomingEdge?.index, index); - assert.equal(node1.lastOutgoingEdge?.index, undefined); - assert.equal(node1.lastIncomingEdge?.index, index2); - }); - - it('fromId should return a new Node view when list has resized', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 2); - let node0 = Node.fromId(n0, graph); - let node1 = Node.fromId(n1, graph); - graph.resizeEdges(graph.edgeCapacity * 2); - assert(node0 !== Node.fromId(n0, graph)); - assert(node1 !== Node.fromId(n1, graph)); - }); - - it('firstOutgoingEdge should return the first outgoing edge from the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let node0 = Node.fromId(n0, graph); - let edge1 = Edge.at(graph.indexOf(n0, n1), graph); - assert.equal(edge1.hash, node0.firstOutgoingEdge?.hash); - }); - - it('lastOutgoingEdge should return the last outgoing edge from the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let node0 = Node.fromId(n0, graph); - let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); - assert.equal(edge3.hash, node0.lastOutgoingEdge?.hash); - }); - - it('firstIncomingEdge should return the first incoming edge from the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let node1 = Node.fromId(n1, graph); - let edge1 = Edge.at(graph.indexOf(n0, n1), graph); - assert.equal(edge1.hash, node1.firstIncomingEdge?.hash); - }); - - it('lastIncomingEdge should return the last incoming edge from the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let node1 = Node.fromId(n1, graph); - let edge1 = Edge.at(graph.indexOf(n0, n1, 2), graph); - assert.equal(edge1.hash, node1.lastIncomingEdge?.hash); - }); - }); - - describe('Edge', () => { - it('should create a view on data in edges array', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 2); - - let index = graph.indexOf(n0, n1, 2); - let edge = Edge.at(index, graph); - assert.equal(edge.index, index); - assert.equal(edge.type, 2); - assert.equal(edge.from.id, 0); - assert.equal(edge.to.id, 1); - }); - - it('fromHash should return a new Edge view when list has resized', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 2); - let hash = graph.hash(n0, n1, 2); - let edge = Edge.fromHash(hash, graph); - graph.resizeEdges(graph.edgeCapacity * 2); - assert(edge !== Edge.fromHash(hash, graph)); - }); - - it('nextOutgoingEdge should return the next outgoing edge from the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let edge1 = Edge.at(graph.indexOf(n0, n1), graph); - let edge2 = Edge.at(graph.indexOf(n0, n2), graph); - let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); - - assert.equal(edge1.nextOutgoingEdge?.hash, edge2.hash); - assert.equal(edge1.nextOutgoingEdge?.nextOutgoingEdge?.hash, edge3.hash); - assert.equal( - edge1.nextOutgoingEdge?.nextOutgoingEdge?.nextOutgoingEdge?.hash, - undefined, - ); - - assert.equal(edge2.nextOutgoingEdge?.hash, edge3.hash); - assert.equal(edge2.nextOutgoingEdge?.nextOutgoingEdge?.hash, undefined); - - assert.equal(edge3.nextOutgoingEdge?.hash, undefined); - }); - - it('nextIncomingEdge should return the next incoming edge to the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let edge1 = Edge.at(graph.indexOf(n0, n1), graph); - let edge2 = Edge.at(graph.indexOf(n0, n2), graph); - let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); - - assert.equal(edge1.nextIncomingEdge?.hash, edge3.hash); - assert.equal(edge1.nextIncomingEdge?.nextIncomingEdge?.hash, undefined); - - assert.equal(edge2.nextIncomingEdge?.hash, undefined); - - assert.equal(edge3.nextIncomingEdge?.hash, undefined); - }); - - it('previousOutgoingEdge should return the previous outgoing edge from the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let edge1 = Edge.at(graph.indexOf(n0, n1), graph); - let edge2 = Edge.at(graph.indexOf(n0, n2), graph); - let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); - - assert.equal(edge3.previousOutgoingEdge?.hash, edge2.hash); - assert.equal( - edge3.previousOutgoingEdge?.previousOutgoingEdge?.hash, - edge1.hash, - ); - assert.equal( - edge3.previousOutgoingEdge?.previousOutgoingEdge?.previousOutgoingEdge - ?.hash, - undefined, - ); - - assert.equal(edge2.previousOutgoingEdge?.hash, edge1.hash); - assert.equal( - edge2.previousOutgoingEdge?.previousOutgoingEdge?.hash, - undefined, - ); - - assert.equal(edge1.previousOutgoingEdge?.hash, undefined); - }); - - it('previousIncomingEdge should return the previous incoming edge to the node', () => { - let graph = new AdjacencyList(); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - let n2 = graph.addNode(); - graph.addEdge(n0, n1); - graph.addEdge(n0, n2); - graph.addEdge(n0, n1, 2); - - let edge1 = Edge.at(graph.indexOf(n0, n1), graph); - let edge2 = Edge.at(graph.indexOf(n0, n2), graph); - let edge3 = Edge.at(graph.indexOf(n0, n1, 2), graph); - - assert.equal(edge1.previousIncomingEdge?.hash, undefined); - - assert.equal(edge2.previousIncomingEdge?.hash, undefined); - - assert.equal(edge3.previousIncomingEdge?.hash, edge1.hash); - assert.equal( - edge3.previousIncomingEdge?.previousIncomingEdge?.hash, - undefined, - ); - }); - }); }); From 9879b9f3cec5682dc7e9d99947de32a32045a9ba Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 13 Jul 2021 19:24:36 -0400 Subject: [PATCH 083/117] Make getAllEdges() preserve insertion order --- packages/core/core/src/AdjacencyList.js | 9 +++------ 1 file changed, 3 insertions(+), 6 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index c453fcd086b..0d2de081215 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -617,12 +617,9 @@ export default class AdjacencyList { from: NodeId, to: NodeId, |}> { - if (!this.toTypeMap || !this.fromTypeMap) this.buildTypeMaps(); - for (let [from, toTypeMap] of this.fromTypeMap) { - for (let [type, toNodes] of toTypeMap) { - for (let to of toNodes) { - yield {type: (type: any), from, to}; - } + for (let from of this.iterateNodes()) { + for (let edge of this.iterateOutgoingEdges(from)) { + yield {type: this.getEdgeType(edge), from, to: this.getToNode(edge)}; } } } From ae2cbd8de520f8ce260bfbc9726f7e5f57d27ea6 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 14 Jul 2021 15:24:10 -0400 Subject: [PATCH 084/117] Implement XOR doubly linked edge list This is a space optimization; there may be some performance impact due to the extra time spent scanning the list when removing an edge. It saves space by eliminating the need to explicitly store the next and previous edges in each edge object. Instead, it maintains an XOR of the next and previous edges on each edge, which means following the links between edges requires knowing the edge that came before or after. --- packages/core/core/src/AdjacencyList.js | 356 ++++++++++++++++-------- 1 file changed, 244 insertions(+), 112 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 0d2de081215..174464308d5 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -33,28 +33,61 @@ export const NODE_SIZE = 4; * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. * The third 4 bytes are the id of the 'to' node. - * The fourth 4 bytes are the hash of the 'to' node's previous incoming edge. - * The fifth 4 bytes are the hash of the 'from' node's previous incoming edge. - * The sixth 4 bytes are the hash of the 'to' node's next incoming edge. - * The seventh 4 bytes are the hash of the 'from' node's next outgoing edge. + * The fourth 4 bytes are an XOR of the hashes of the 'to' node's next and previous incoming edges. + * The fifth 4 bytes are an XOR of the hashes of the 'from' node's next and previous outgoing edges. * * struct Edge { * int type; * int from; * int to; - * int prevIn; - * int prevOut; - * int nextIn; - * int nextOut; + * int in; + * int out; * } * - * ┌──────────────────────────────────────────────────────────────────────────────────────────┐ - * │ EDGE_SIZE │ - * ├────────────┬────────────┬────────────┬────────────┬────────────┬────────────┬────────────┤ - * │ TYPE │ FROM │ TO │ PREV_IN │ PREV_OUT │ NEXT_IN │ NEXT_OUT │ - * └────────────┴────────────┴────────────┴────────────┴────────────┴────────────┴────────────┘ + * ┌────────────────────────────────────────────────────────────────┐ + * │ EDGE_SIZE │ + * ├────────────┬────────────┬────────────┬────────────┬────────────┤ + * │ TYPE │ FROM │ TO │ IN │ OUT │ + * └────────────┴────────────┴────────────┴────────────┴────────────┘ + * + * Nodes and Edges create an XOR doubly-linked list + * for outgoing and incoming edges to and from each node. + * + * For example, 3 edges from node 0 to 1 are linked thusly: + * + * ┌───────┐ + * │ Node0 │ + * ┌───────┴───┬───┴───────┐ + * ┌──│FirstOut(1)│LastOut(3) │──┐ + * ▼ └───────────┴───────────┘ ▼ + * ┌───────┐ ┌───────┐ + * │ Edge1 │◀─┐ ┌───────┐ ┌─▶│ Edge3 │ + * ┌┴───────┴┐ │┌─▶│ Edge2 │◀─┐│ ┌┴───────┴┐ + * │Out(0^2) │─┼┤ ┌┴───────┴┐ ├┼─│Out(2^0) │ + * ├─────────┤ ├┼─│Out(1^3) │─┼┤ ├─────────┤ + * │ In(0^2) │─┼┘ ├─────────┤ └┼─│ In(2^0) │ + * └─────────┘ └──│ In(1^3) │──┘ └─────────┘ + * ▲ └─────────┘ ▲ + * │ ┌───────────┬───────────┐ │ + * └──│FirstIn(1) │ LastIn(3) │──┘ + * └───────┬───┴───┬───────┘ + * │ Node1 │ + * └───────┘ + * + * To traverse the outgoing edges of `Node0`, you start with `FirstOut(1)`, + * which points to `Edge1`. Then follow the link to `Edge2` by XORing the + * link with the previous edge (0 in this case) `Out(0^2)^0 = Edge2`. + * Then follow the link to `Edge3` by XOR `Out(1^3)^Edge1 = Edge3`, and so on. + * + * The edges may be traversed in reverse by starting with `LastOut(3)` + * and following the XOR links in the same manner, i.e. `Edge3` links + * back to `Edge2` via `Out(2^0)^0 = Edge2`, then `Edge2` links back + * to `Edge1` via Out(1^3)^Edge3 = Edge1`, etc. + * + * The incoming edges to `Node1` are similar, but starting from + * `FirstIn(1)` or `LastIn(3)`, and following the `In()` links instead. */ -export const EDGE_SIZE = 7; +export const EDGE_SIZE = 5; /** The offset from an edge index at which the edge type is stored. */ const TYPE: 0 = 0; @@ -62,14 +95,16 @@ const TYPE: 0 = 0; const FROM: 1 = 1; /** The offset from an edge index at which the 'to' node id is stored. */ const TO: 2 = 2; -/** The offset from an edge index at which the hash of the 'to' node's previous incoming edge is stored. */ -const PREV_IN: 3 = 3; -/** The offset from an edge index at which the hash of the 'from' node's previous incoming edge is stored. */ -const PREV_OUT: 4 = 4; -/** The offset from an edge index at which the hash of the 'to' node's next incoming edge is stored. */ -const NEXT_IN: 5 = 5; -/** The offset from an edge index at which the hash of the 'from' node's next incoming edge is stored. */ -const NEXT_OUT: 6 = 6; +/** + * The offset from an edge index at which an XOR of the hashes + * of the 'to' node's next and previous incoming edges is stored. + */ +const IN: 3 = 3; +/** + * The offset from an edge index at which an XOR of the hashes + * of the 'from' node's next and previous outgoing edges is stored. + */ +const OUT: 4 = 4; /** The offset from a node index at which the hash of the first incoming edge is stored. */ const FIRST_IN: 0 = 0; @@ -254,23 +289,25 @@ export default class AdjacencyList { /** Iterate over outgoing edge hashes from the given `nodeId` the `AdjacencyList`. */ *iterateOutgoingEdges(nodeId: NodeId): Iterator { - for ( - let hash = this.nodes[indexOfNode(nodeId) + FIRST_OUT]; - hash; - hash = this.edges[hashToIndex(hash) + NEXT_OUT] - ) { + let previousHash = null; + let hash = this.firstOutgoingEdge(nodeId); + while (hash) { yield hash; + let nextHash = this.getLinkedEdge(OUT, hash, previousHash); + previousHash = hash; + hash = nextHash; } } /** Iterate over incoming edge hashes to the given `nodeId` the `AdjacencyList`. */ *iterateIncomingEdges(nodeId: NodeId): Iterator { - for ( - let hash = this.nodes[indexOfNode(nodeId) + FIRST_IN]; - hash; - hash = this.edges[hashToIndex(hash) + NEXT_IN] - ) { + let previousHash = null; + let hash = this.firstIncomingEdge(nodeId); + while (hash) { yield hash; + let nextHash = this.getLinkedEdge(IN, hash, previousHash); + previousHash = hash; + hash = nextHash; } } @@ -395,46 +432,140 @@ export default class AdjacencyList { return hash ? hash : null; } - /** Get or set the next outgoing edge from the given edge's originating node. */ - nextOutgoingEdge(edge: EdgeHash, next: ?(EdgeHash | null)): EdgeHash | null { - if (next !== undefined) { - this.edges[hashToIndex(edge) + NEXT_OUT] = next ?? 0; - } - let hash = this.edges[hashToIndex(edge) + NEXT_OUT]; - return hash ? hash : null; + /** Insert the given `edge` between `previous` and `next` edges. */ + linkEdge( + direction: typeof IN | typeof OUT, + prev: EdgeHash | null, + edge: EdgeHash, + next: EdgeHash | null, + ): void { + // We need `prev-1` to compute the new link between `prev` to `edge`. + let prev1 = this.getLinkedEdge(direction, prev, next) ?? 0; + // We need `next+1` to compute the new link between `edge` to `next`. + let next1 = this.getLinkedEdge(direction, next, prev) ?? 0; + prev = prev ?? 0; + next = next ?? 0; + if (prev) this.edges[hashToIndex(prev) + direction] = prev1 ^ edge; + this.edges[hashToIndex(edge) + direction] = prev ^ next; + if (next) this.edges[hashToIndex(next) + direction] = edge ^ next1; } - /** Get or set the previous outgoing edge from the given edge's originating node. */ - previousOutgoingEdge( + /** Remove the given `edge` between `previous` and `next` edges. */ + unlinkEdge( + direction: typeof IN | typeof OUT, + prev: EdgeHash | null, edge: EdgeHash, - previous: ?(EdgeHash | null), + next: EdgeHash | null, + ): void { + // We need `prev-1` to compute the new link between `prev` to `next`. + let prev1 = this.getLinkedEdge(direction, prev, edge) ?? 0; + // We need `next+1` to compute the new link between `prev` to `next`. + let next1 = this.getLinkedEdge(direction, next, edge) ?? 0; + prev = prev ?? 0; + next = next ?? 0; + if (prev) this.edges[hashToIndex(prev) + direction] = prev1 ^ next; + this.edges[hashToIndex(edge) + direction] = 0; + if (next) this.edges[hashToIndex(next) + direction] = prev ^ next1; + } + + /** Get the edge linked to this edge in the given direction. */ + getLinkedEdge( + direction: typeof IN | typeof OUT, + edge: EdgeHash | null, + previous: EdgeHash | null, ): EdgeHash | null { - if (previous !== undefined) { - this.edges[hashToIndex(edge) + PREV_OUT] = previous ?? 0; - } - let hash = this.edges[hashToIndex(edge) + PREV_OUT]; - return hash ? hash : null; + if (edge === null) return null; + let link = this.edges[hashToIndex(edge) + direction]; + if (previous === null) return link; + return previous ^ link; } - /** Get or set the next incoming edge to the given edge's terminating node. */ - nextIncomingEdge(edge: EdgeHash, next: ?(EdgeHash | null)): EdgeHash | null { - if (next !== undefined) { - this.edges[hashToIndex(edge) + NEXT_IN] = next ?? 0; + /** Find the edge linked to the given `edge`. */ + findEdgeBefore( + direction: typeof IN | typeof OUT, + edge: EdgeHash, + ): EdgeHash | null { + let node = direction === IN ? this.getToNode(edge) : this.getFromNode(edge); + + let left = + direction === IN + ? this.firstIncomingEdge(node) + : this.firstOutgoingEdge(node); + + if (edge === left) return null; + + let right = + direction === IN + ? this.lastIncomingEdge(node) + : this.lastOutgoingEdge(node); + + let lastLeft = null; + let lastRight = null; + while (left || right) { + if (left) { + let nextLeft = + direction === IN + ? this.getLinkedEdge(IN, left, lastLeft) + : this.getLinkedEdge(OUT, left, lastLeft); + if (nextLeft === edge) return left; + lastLeft = left; + left = nextLeft; + } + if (right) { + let nextRight = + direction === IN + ? this.getLinkedEdge(IN, right, lastRight) + : this.getLinkedEdge(OUT, right, lastRight); + if (right === edge) return nextRight; + lastRight = right; + right = nextRight; + } } - let hash = this.edges[hashToIndex(edge) + NEXT_IN]; - return hash ? hash : null; + return null; } - /** Get or set the previous incoming edge to the given edge's terminating node. */ - previousIncomingEdge( + /** Find the edge the given `edge` is linked to. */ + findEdgeAfter( + direction: typeof IN | typeof OUT, edge: EdgeHash, - previous: ?(EdgeHash | null), ): EdgeHash | null { - if (previous !== undefined) { - this.edges[hashToIndex(edge) + PREV_IN] = previous ?? 0; + let node = direction === IN ? this.getToNode(edge) : this.getFromNode(edge); + + let right = + direction === IN + ? this.lastIncomingEdge(node) + : this.lastOutgoingEdge(node); + + if (edge === right) return null; + + let left = + direction === IN + ? this.firstIncomingEdge(node) + : this.firstOutgoingEdge(node); + + let lastRight = null; + let lastLeft = null; + while (right || left) { + if (right) { + let nextRight = + direction === IN + ? this.getLinkedEdge(IN, right, lastRight) + : this.getLinkedEdge(OUT, right, lastRight); + if (nextRight === edge) return right; + lastRight = right; + right = nextRight; + } + if (left) { + let nextLeft = + direction === IN + ? this.getLinkedEdge(IN, left, lastLeft) + : this.getLinkedEdge(OUT, left, lastLeft); + if (left === edge) return nextLeft; + lastLeft = left; + left = nextLeft; + } } - let hash = this.edges[hashToIndex(edge) + PREV_IN]; - return hash ? hash : null; + return null; } /** @@ -501,23 +632,28 @@ export default class AdjacencyList { this.edges[index + TO] = fromNodeId(to); let edge = indexToHash(index); + let firstIncoming = this.firstIncomingEdge(to); let lastIncoming = this.lastIncomingEdge(to); - if (lastIncoming) { - this.nextIncomingEdge(lastIncoming, edge); - this.previousIncomingEdge(edge, lastIncoming); - } - this.lastIncomingEdge(to, edge); - - if (!this.firstIncomingEdge(to)) this.firstIncomingEdge(to, edge); - + let firstOutgoing = this.firstOutgoingEdge(from); let lastOutgoing = this.lastOutgoingEdge(from); - if (lastOutgoing) { - this.nextOutgoingEdge(lastOutgoing, edge); - this.previousOutgoingEdge(edge, lastOutgoing); - } - this.lastOutgoingEdge(from, edge); - if (!this.firstOutgoingEdge(from)) this.firstOutgoingEdge(from, edge); + // If the `to` node has incoming edges, link the last edge to this one. + // from: lastIncoming <=> null + // to: lastIncoming <=> edge <=> null + if (lastIncoming) this.linkEdge(IN, lastIncoming, edge, null); + // Set this edge as the last incoming edge to the `to` node. + this.lastIncomingEdge(to, edge); + // If the `to` node has no incoming edges, set this edge as the first one. + if (!firstIncoming) this.firstIncomingEdge(to, edge); + + // If the `from` node has outgoing edges, link the last edge to this one. + // from: lastOutgoing <=> null + // to: lastOutgoing <=> edge <=> null + if (lastOutgoing) this.linkEdge(OUT, lastOutgoing, edge, null); + // Set this edge as the last outgoing edge from the `from` node. + this.lastOutgoingEdge(from, edge); + // If the `from` node has no outgoing edges, set this edge as the first one. + if (!firstOutgoing) this.firstOutgoingEdge(from, edge); this.fromTypeMap ?.get(from) @@ -652,37 +788,39 @@ export default class AdjacencyList { /** The removed edge. */ let edge = indexToHash(index); /** The first incoming edge to the removed edge's terminus. */ - let firstIncoming = this.firstIncomingEdge(to); + let firstIn = this.firstIncomingEdge(to); /** The last incoming edge to the removed edge's terminus. */ - let lastIncoming = this.lastIncomingEdge(to); + let lastIn = this.lastIncomingEdge(to); /** The next incoming edge after the removed edge. */ - let nextIncoming = this.nextIncomingEdge(edge); + let nextIn = this.findEdgeAfter(IN, edge); /** The previous incoming edge before the removed edge. */ - let previousIncoming = this.previousIncomingEdge(edge); + let previousIn = this.findEdgeBefore(IN, edge); /** The first outgoing edge from the removed edge's origin. */ - let firstOutgoing = this.firstOutgoingEdge(from); + let firstOut = this.firstOutgoingEdge(from); /** The last outgoing edge from the removed edge's origin. */ - let lastOutgoing = this.lastOutgoingEdge(from); + let lastOut = this.lastOutgoingEdge(from); /** The next outgoing edge after the removed edge. */ - let nextOutgoing = this.nextOutgoingEdge(edge); + let nextOut = this.findEdgeAfter(OUT, edge); /** The previous outgoing edge before the removed edge. */ - let previousOutgoing = this.previousOutgoingEdge(edge); - - // Update the terminating node's first and last incoming edges. - if (firstIncoming === edge) this.firstIncomingEdge(to, nextIncoming); - if (lastIncoming === edge) this.lastIncomingEdge(to, previousIncoming); + let previousOut = this.findEdgeBefore(OUT, edge); - // Update the originating node's first and last outgoing edges. - if (firstOutgoing === edge) this.firstOutgoingEdge(from, nextOutgoing); - if (lastOutgoing === edge) this.lastOutgoingEdge(from, previousOutgoing); + // Splice the removed edge out of the linked list of incoming edges. + // from: previousIn <=> edge <=> nextIn + // to: previousIn <=> nextIn + this.unlinkEdge(IN, previousIn, edge, nextIn); // Splice the removed edge out of the linked list of outgoing edges. - if (previousOutgoing) this.nextOutgoingEdge(previousOutgoing, nextOutgoing); - if (nextOutgoing) this.previousOutgoingEdge(nextOutgoing, previousOutgoing); + // from: previousOut <=> edge <=> nextOut + // to: previousOut <=> nextOut + this.unlinkEdge(OUT, previousOut, edge, nextOut); - // Splice the removed edge out of the linked list of incoming edges. - if (previousIncoming) this.nextIncomingEdge(previousIncoming, nextIncoming); - if (nextIncoming) this.previousIncomingEdge(nextIncoming, previousIncoming); + // Update the terminating node's first and last incoming edges. + if (firstIn === edge) this.firstIncomingEdge(to, nextIn); + if (lastIn === edge) this.lastIncomingEdge(to, previousIn); + + // Update the originating node's first and last outgoing edges. + if (firstOut === edge) this.firstOutgoingEdge(from, nextOut); + if (lastOut === edge) this.lastOutgoingEdge(from, previousOut); this.fromTypeMap ?.get(from) @@ -701,10 +839,8 @@ export default class AdjacencyList { this.edges[index + TYPE] = DELETED; this.edges[index + FROM] = 0; this.edges[index + TO] = 0; - this.edges[index + PREV_IN] = 0; - this.edges[index + PREV_OUT] = 0; - this.edges[index + NEXT_IN] = 0; - this.edges[index + NEXT_OUT] = 0; + this.edges[index + IN] = 0; + this.edges[index + OUT] = 0; this.numEdges--; } @@ -925,10 +1061,8 @@ function toDot(data: AdjacencyList): string { let type = data.edges[index + TYPE]; let from = data.edges[index + FROM]; let to = data.edges[index + TO]; - let prevIn = data.edges[index + PREV_IN]; - let prevOut = data.edges[index + PREV_OUT]; - let nextIn = data.edges[index + NEXT_IN]; - let nextOut = data.edges[index + NEXT_OUT]; + let nextIn = data.edges[index + IN]; + let nextOut = data.edges[index + OUT]; // TODO: add type to label? let label = String(nextEdge); @@ -939,7 +1073,7 @@ function toDot(data: AdjacencyList): string { ); adjacencyList.addNode(`edge${label}`, { - label: `edge ${label} | { ${type} | ${from} | ${to} | ${prevIn} | ${prevOut} | ${nextIn} | ${nextOut} }`, + label: `edge ${label} | { ${type} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, }); adjacencyList.addEdge(`edge${label}`, `node${from}`, { @@ -955,16 +1089,16 @@ function toDot(data: AdjacencyList): string { if (nextIn) { adjacencyList.addEdge(`edge${label}`, `edge${nextIn}`, { - tailport: 'NEXT_IN', - label: 'NEXT_IN', + tailport: 'IN', + label: 'IN', style: 'dashed', }); } if (nextOut) { adjacencyList.addEdge(`edge${label}`, `edge${nextOut}`, { - label: 'NEXT_OUT', - tailport: 'NEXT_OUT', + label: 'OUT', + tailport: 'OUT', }); } @@ -1063,10 +1197,8 @@ function edgesToDot(data: AdjacencyList): string { if (type && !isDeleted(type)) { let from = data.edges[i + FROM]; let to = data.edges[i + TO]; - let prevIn = data.edges[i + PREV_IN]; - let prevOut = data.edges[i + PREV_OUT]; - let nextIn = data.edges[i + NEXT_IN]; - let nextOut = data.edges[i + NEXT_OUT]; + let inLink = data.edges[i + IN]; + let outLink = data.edges[i + OUT]; if (lastOut < i - EDGE_SIZE) { if (lastOut || data.edges[lastOut + TYPE]) { @@ -1087,7 +1219,7 @@ function edgesToDot(data: AdjacencyList): string { edges.addNode(`edge${i}`, { label: `${indexToHash( i, - )} | {${type} | ${from} | ${to} | ${prevIn} | ${prevOut} | ${nextIn} | ${nextOut}}`, + )} | {${type} | ${from} | ${to} | ${inLink} | ${outLink}}`, }); if (lastOut !== i) { From 625c30b9d6bc9bdafcb26336145dff51d4012a62 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 15 Jul 2021 18:34:31 -0400 Subject: [PATCH 085/117] Microoptimizing --- packages/core/core/src/AdjacencyList.js | 37 +++++++++++++++++++------ 1 file changed, 28 insertions(+), 9 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 174464308d5..6f211c13a39 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -170,9 +170,9 @@ export default class AdjacencyList { /** The count of the number of edges in the graph. */ numEdges: number; /** A map of node ids from => through types => to node ids. */ - fromTypeMap: DefaultMap>>; + fromTypeMap: ?DefaultMap>>; /** A map of node ids to => through types => from node ids. */ - toTypeMap: DefaultMap>>; + toTypeMap: ?DefaultMap>>; constructor(nodeCapacity: number = 128, edgeCapacity: number = 256) { this.nodeCapacity = nodeCapacity; @@ -377,23 +377,40 @@ export default class AdjacencyList { } /** Create mappings from => type => to and vice versa. */ - buildTypeMaps() { - this.fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); - this.toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); + buildTypeMaps(): {| + fromTypeMap: DefaultMap>>, + toTypeMap: DefaultMap>>, + |} { + let fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); + let toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); for (let node of this.iterateNodes()) { for (let edge of this.iterateOutgoingEdges(node)) { - this.fromTypeMap + fromTypeMap .get(node) .get(this.getEdgeType(edge)) .add(this.getToNode(edge)); } for (let edge of this.iterateIncomingEdges(node)) { - this.toTypeMap + toTypeMap .get(node) .get(this.getEdgeType(edge)) .add(this.getFromNode(edge)); } } + this.fromTypeMap = fromTypeMap; + this.toTypeMap = toTypeMap; + return {fromTypeMap, toTypeMap}; + } + + getOrCreateFromTypeMap(): DefaultMap< + NodeId, + DefaultMap>, + > { + return this.fromTypeMap || this.buildTypeMaps().fromTypeMap; + } + + getOrCreateToTypeMap(): DefaultMap>> { + return this.toTypeMap || this.buildTypeMaps().toTypeMap; } /** Get or set the first outgoing edge from the given node. */ @@ -682,6 +699,7 @@ export default class AdjacencyList { // We want to avoid scanning the array forever, // so keep track of where we start scanning from. let startIndex = index; + let size = this.edges.length; // Since it is possible for multiple edges to have the same hash, // we check that the edge at the index matching the hash is actually // the edge we're looking for. If it's not, we scan forward in the @@ -697,7 +715,7 @@ export default class AdjacencyList { // The edge at at this index is not the edge we're looking for, // so scan forward to the next edge, wrapping back to // the beginning of the `edges` array if we overflow. - index = (index + EDGE_SIZE) % this.edges.length; + index = (index + EDGE_SIZE) % size; // We have scanned the whole array unsuccessfully. if (index === startIndex) break; @@ -724,6 +742,7 @@ export default class AdjacencyList { // We do this instead of simply using the `index` because it is possible // for multiple edges to have the same hash. let deletedEdge = 0; + let size = this.edges.length; while (this.edges[index + TYPE]) { // If the edge at this index was deleted, we can reuse the slot. if (isDeleted(this.edges[index + TYPE])) { @@ -742,7 +761,7 @@ export default class AdjacencyList { // Note that each 'slot' is of size `EDGE_SIZE`. // Also note that we handle overflow of `edges` by wrapping // back to the beginning of the `edges` array. - index = (index + EDGE_SIZE) % this.edges.length; + index = (index + EDGE_SIZE) % size; } // If we find a deleted edge, use it. Otherwise, use the next empty edge return deletedEdge ? deletedEdge : index; From e95a85643580c7a1ef74656a2c78ac49ed026091 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 15 Jul 2021 18:35:31 -0400 Subject: [PATCH 086/117] Refactor generator methods to return arrays They're all just getting immediately exhausted by Graph anyway. --- packages/core/core/src/AdjacencyList.js | 114 ++++++++++-------- packages/core/core/src/Graph.js | 15 +-- packages/core/core/test/AdjacencyList.test.js | 10 +- 3 files changed, 74 insertions(+), 65 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 6f211c13a39..2bce62b9aa0 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -864,26 +864,34 @@ export default class AdjacencyList { this.numEdges--; } - *getInboundEdgesByType( - to: NodeId, - ): Iterator<{|type: TEdgeType, from: NodeId|}> { - if (!this.toTypeMap) this.buildTypeMaps(); - for (let [type, nodes] of this.toTypeMap.get(to)) { - for (let from of nodes) { - yield {type: (type: any), from}; + hasInboundEdges(to: NodeId): boolean { + return Boolean(this.firstIncomingEdge(to)); + } + + getInboundEdgesByType(to: NodeId): {|type: TEdgeType, from: NodeId|}[] { + let toTypeMap = this.getOrCreateToTypeMap(); + let edges = []; + if (toTypeMap.has(to)) { + for (let [type, nodes] of toTypeMap.get(to)) { + for (let from of nodes) { + edges.push({type: (type: any), from}); + } } } + return edges; } - *getOutboundEdgesByType( - from: NodeId, - ): Iterator<{|type: TEdgeType, to: NodeId|}> { - if (!this.fromTypeMap) this.buildTypeMaps(); - for (let [type, nodes] of this.fromTypeMap.get(from)) { - for (let to of nodes) { - yield {type: (type: any), to}; + getOutboundEdgesByType(from: NodeId): {|type: TEdgeType, to: NodeId|}[] { + let fromTypeMap = this.getOrCreateFromTypeMap(); + let edges = []; + if (fromTypeMap.has(from)) { + for (let [type, nodes] of fromTypeMap.get(from)) { + for (let to of nodes) { + edges.push({type: (type: any), to}); + } } } + return edges; } /** @@ -903,73 +911,79 @@ export default class AdjacencyList { /** * Get the list of nodes connected from this node. */ - *getNodesConnectedFrom( + getNodesConnectedFrom( from: NodeId, type: | AllEdgeTypes | TEdgeType | NullEdgeType | Array = 1, - ): Iterator { - if (!this.fromTypeMap || !this.toTypeMap) this.buildTypeMaps(); + ): NodeId[] { + let fromTypeMap = this.getOrCreateFromTypeMap(); let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); - if (isAllEdgeTypes) { - for (let [, to] of this.fromTypeMap.get(from)) { - yield* to; - } - } else if (Array.isArray(type)) { - for (let typeNum of type) { - yield* this.fromTypeMap - .get(from) - .get((typeNum: any)) - .values(); + let nodes = []; + if (fromTypeMap.has(from)) { + if (isAllEdgeTypes) { + for (let [, toSet] of fromTypeMap.get(from)) { + nodes.push(...toSet); + } + } else if (Array.isArray(type)) { + let fromType = fromTypeMap.get(from); + for (let typeNum of type) { + if (fromType.has(typeNum)) { + nodes.push(...fromType.get(typeNum)); + } + } + } else { + if (fromTypeMap.get(from).has((type: any))) { + nodes.push(...fromTypeMap.get(from).get((type: any))); + } } - } else { - yield* this.fromTypeMap - .get(from) - .get((type: any)) - .values(); } + return nodes; } /** * Get the list of nodes connected to this node. */ - *getNodesConnectedTo( + getNodesConnectedTo( to: NodeId, type: | AllEdgeTypes | TEdgeType | NullEdgeType | Array = 1, - ): Iterator { - if (!this.fromTypeMap || !this.toTypeMap) this.buildTypeMaps(); + ): NodeId[] { + let toTypeMap = this.getOrCreateToTypeMap(); let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); - if (isAllEdgeTypes) { - for (let [, from] of this.toTypeMap.get(to)) { - yield* from; - } - } else if (Array.isArray(type)) { - for (let typeNum of type) { - yield* this.toTypeMap - .get(to) - .get((typeNum: any)) - .values(); + let nodes = []; + if (toTypeMap.has(to)) { + if (isAllEdgeTypes) { + for (let [, from] of toTypeMap.get(to)) { + nodes.push(...from); + } + } else if (Array.isArray(type)) { + let toType = toTypeMap.get(to); + for (let typeNum of type) { + if (toType.has(typeNum)) { + nodes.push(...toType.get(typeNum)); + } + } + } else { + if (toTypeMap.get(to).has((type: any))) { + nodes.push(...toTypeMap.get(to).get((type: any))); + } } - } else { - yield* this.toTypeMap - .get(to) - .get((type: any)) - .values(); } + return nodes; } /** diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index b14fc41e010..471b93084dc 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -115,7 +115,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return [...this.adjacencyList.getNodesConnectedTo(nodeId, type)]; + return this.adjacencyList.getNodesConnectedTo(nodeId, type); } getNodeIdsConnectedFrom( @@ -124,16 +124,14 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return [...this.adjacencyList.getNodesConnectedFrom(nodeId, type)]; + return this.adjacencyList.getNodesConnectedFrom(nodeId, type); } // Removes node and any edges coming from or to that node removeNode(nodeId: NodeId) { this._assertHasNodeId(nodeId); - for (let {type, from} of [ - ...this.adjacencyList.getInboundEdgesByType(nodeId), - ]) { + for (let {type, from} of this.adjacencyList.getInboundEdgesByType(nodeId)) { this.removeEdge( from, nodeId, @@ -144,9 +142,7 @@ export default class Graph { ); } - for (let {type, to} of [ - ...this.adjacencyList.getOutboundEdgesByType(nodeId), - ]) { + for (let {type, to} of this.adjacencyList.getOutboundEdgesByType(nodeId)) { this.removeEdge(nodeId, to, type); } @@ -187,8 +183,7 @@ export default class Graph { if (this.rootNodeId == null) { // If the graph does not have a root, and there are inbound edges, // this node should not be considered orphaned. - let {done} = this.adjacencyList.getInboundEdgesByType(nodeId).next(); - return done; + return !this.adjacencyList.hasInboundEdges(nodeId); } // Otherwise, attempt to traverse backwards to the root. If there is a path, diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 826cb5680e6..25816310a8a 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -54,10 +54,10 @@ describe('AdjacencyList', () => { graph.addEdge(node5, node1); graph.addEdge(node6, node1); - assert.deepEqual([...graph.getNodesConnectedTo(node1)], [0, 2, 3, 4, 5, 6]); + assert.deepEqual(graph.getNodesConnectedTo(node1), [0, 2, 3, 4, 5, 6]); graph.removeEdge(node3, node1); - assert.deepEqual([...graph.getNodesConnectedTo(node1)], [0, 2, 4, 5, 6]); + assert.deepEqual(graph.getNodesConnectedTo(node1), [0, 2, 4, 5, 6]); }); it('removeEdge should remove an edge of a specific type from the graph', () => { @@ -119,7 +119,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b); graph.addEdge(a, d); graph.addEdge(a, c); - assert.deepEqual([...graph.getNodesConnectedFrom(a)], [b, d, c]); + assert.deepEqual(graph.getNodesConnectedFrom(a), [b, d, c]); }); it('addEdge should add multiple edges to a node in order', () => { @@ -132,7 +132,7 @@ describe('AdjacencyList', () => { graph.addEdge(d, b); graph.addEdge(a, d); graph.addEdge(c, b); - assert.deepEqual([...graph.getNodesConnectedTo(b)], [a, d, c]); + assert.deepEqual(graph.getNodesConnectedTo(b), [a, d, c]); }); it('addEdge should add multiple edges of different types in order', () => { @@ -143,7 +143,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b, 1); graph.addEdge(a, b, 4); graph.addEdge(a, b, 3); - assert.deepEqual([...graph.getNodesConnectedFrom(a)], [b]); + assert.deepEqual(graph.getNodesConnectedFrom(a), [b]); assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: a, to: b, type: 1}, {from: a, to: b, type: 4}, From 22f5820dfcdba316c6f1f03271c4f5b96f5a2533 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 16 Jul 2021 11:01:16 -0400 Subject: [PATCH 087/117] Revert to singly linked edge list XOR links are about 25% slower than the reference link implementation, but use about 20-25% less space. The singly linked version is even slower than XOR, but has the same space savings. This commit restores a singly linked list, but adds a caching mechanism for improving the perf when finding a previous edge. --- packages/core/core/src/AdjacencyList.js | 279 +++++++++--------------- 1 file changed, 109 insertions(+), 170 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 2bce62b9aa0..cd1a5fe3bf2 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -33,59 +33,52 @@ export const NODE_SIZE = 4; * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. * The third 4 bytes are the id of the 'to' node. - * The fourth 4 bytes are an XOR of the hashes of the 'to' node's next and previous incoming edges. - * The fifth 4 bytes are an XOR of the hashes of the 'from' node's next and previous outgoing edges. + * The fourth 4 bytes are the hash of the 'to' node's next incoming edge. + * The fifth 4 bytes are the hash of the 'from' node's next outgoing edge. * * struct Edge { * int type; * int from; * int to; - * int in; - * int out; + * int nextIn; + * int nextOut; * } * * ┌────────────────────────────────────────────────────────────────┐ * │ EDGE_SIZE │ * ├────────────┬────────────┬────────────┬────────────┬────────────┤ - * │ TYPE │ FROM │ TO │ IN │ OUT │ + * │ TYPE │ FROM │ TO │ NEXT_IN │ NEXT_OUT │ * └────────────┴────────────┴────────────┴────────────┴────────────┘ * - * Nodes and Edges create an XOR doubly-linked list - * for outgoing and incoming edges to and from each node. + * Nodes and Edges create a linked list of edges to and from each node. * * For example, 3 edges from node 0 to 1 are linked thusly: * - * ┌───────┐ - * │ Node0 │ - * ┌───────┴───┬───┴───────┐ - * ┌──│FirstOut(1)│LastOut(3) │──┐ - * ▼ └───────────┴───────────┘ ▼ - * ┌───────┐ ┌───────┐ - * │ Edge1 │◀─┐ ┌───────┐ ┌─▶│ Edge3 │ - * ┌┴───────┴┐ │┌─▶│ Edge2 │◀─┐│ ┌┴───────┴┐ - * │Out(0^2) │─┼┤ ┌┴───────┴┐ ├┼─│Out(2^0) │ - * ├─────────┤ ├┼─│Out(1^3) │─┼┤ ├─────────┤ - * │ In(0^2) │─┼┘ ├─────────┤ └┼─│ In(2^0) │ - * └─────────┘ └──│ In(1^3) │──┘ └─────────┘ - * ▲ └─────────┘ ▲ - * │ ┌───────────┬───────────┐ │ - * └──│FirstIn(1) │ LastIn(3) │──┘ - * └───────┬───┴───┬───────┘ - * │ Node1 │ - * └───────┘ + * ┌───────┐ + * │ Node0 │ + * ┌───────┴───┬───┴───────┐ + * ┌────│FirstOut(1)│LastOut(3) │────┐ + * ▼ └───────────┴───────────┘ ▼ + * ┌───────┐ ┌───────┐ + * ┌─▶│ Edge1 │ ┌───────┐ ┌──▶│ Edge3 │◀─┐ + * │┌─┴───────┴─┐ ┌──▶│ Edge2 │ │ ┌─┴───────┴─┐│ + * ││ NextIn(2) │──┤ ┌─┴───────┴─┐ │ │ NextIn(0) ││ + * │├───────────┤ │ │ NextIn(3) │──┤ ├───────────┤│ + * ││NextOut(2) │──┘ ├───────────┤ │ │NextOut(0) ││ + * │└───────────┘ │NextOut(3) │──┘ └───────────┘│ + * │ └───────────┘ │ + * │ ┌───────────┬───────────┐ │ + * └───────────│FirstIn(1) │ LastIn(3) │───────────┘ + * └───────┬───┴───┬───────┘ + * │ Node1 │ + * └───────┘ * * To traverse the outgoing edges of `Node0`, you start with `FirstOut(1)`, - * which points to `Edge1`. Then follow the link to `Edge2` by XORing the - * link with the previous edge (0 in this case) `Out(0^2)^0 = Edge2`. - * Then follow the link to `Edge3` by XOR `Out(1^3)^Edge1 = Edge3`, and so on. - * - * The edges may be traversed in reverse by starting with `LastOut(3)` - * and following the XOR links in the same manner, i.e. `Edge3` links - * back to `Edge2` via `Out(2^0)^0 = Edge2`, then `Edge2` links back - * to `Edge1` via Out(1^3)^Edge3 = Edge1`, etc. + * which points to `Edge1`. Then follow the link to `Edge2` via `NextOut(2)`. + * Then follow the link to `Edge3` via `NextOut(3)`, and so on. * * The incoming edges to `Node1` are similar, but starting from - * `FirstIn(1)` or `LastIn(3)`, and following the `In()` links instead. + * `FirstIn(1)` and following the `NextIn()` links instead. */ export const EDGE_SIZE = 5; @@ -96,15 +89,15 @@ const FROM: 1 = 1; /** The offset from an edge index at which the 'to' node id is stored. */ const TO: 2 = 2; /** - * The offset from an edge index at which an XOR of the hashes - * of the 'to' node's next and previous incoming edges is stored. + * The offset from an edge index at which the hash + * of the 'to' node's next incoming edge is stored. */ -const IN: 3 = 3; +const NEXT_IN: 3 = 3; /** - * The offset from an edge index at which an XOR of the hashes - * of the 'from' node's next and previous outgoing edges is stored. + * The offset from an edge index at which the hash + * of the 'from' node's next outgoing edge is stored. */ -const OUT: 4 = 4; +const NEXT_OUT: 4 = 4; /** The offset from a node index at which the hash of the first incoming edge is stored. */ const FIRST_IN: 0 = 0; @@ -173,6 +166,10 @@ export default class AdjacencyList { fromTypeMap: ?DefaultMap>>; /** A map of node ids to => through types => from node ids. */ toTypeMap: ?DefaultMap>>; + /** A map of edges to the previous incoming edge. */ + previousIn: ?Map; + /** A map of edges to the previous outgoing edge. */ + previousOut: ?Map; constructor(nodeCapacity: number = 128, edgeCapacity: number = 256) { this.nodeCapacity = nodeCapacity; @@ -187,6 +184,9 @@ export default class AdjacencyList { this.fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); this.toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); + + this.previousIn = new Map(); + this.previousOut = new Map(); } /** @@ -289,25 +289,19 @@ export default class AdjacencyList { /** Iterate over outgoing edge hashes from the given `nodeId` the `AdjacencyList`. */ *iterateOutgoingEdges(nodeId: NodeId): Iterator { - let previousHash = null; let hash = this.firstOutgoingEdge(nodeId); while (hash) { yield hash; - let nextHash = this.getLinkedEdge(OUT, hash, previousHash); - previousHash = hash; - hash = nextHash; + hash = this.getLinkedEdge(NEXT_OUT, hash); } } /** Iterate over incoming edge hashes to the given `nodeId` the `AdjacencyList`. */ *iterateIncomingEdges(nodeId: NodeId): Iterator { - let previousHash = null; let hash = this.firstIncomingEdge(nodeId); while (hash) { yield hash; - let nextHash = this.getLinkedEdge(IN, hash, previousHash); - previousHash = hash; - hash = nextHash; + hash = this.getLinkedEdge(NEXT_IN, hash); } } @@ -374,6 +368,8 @@ export default class AdjacencyList { this.edgeCapacity = size; this.fromTypeMap = copy.fromTypeMap; this.toTypeMap = copy.toTypeMap; + this.previousIn = copy.previousIn; + this.previousOut = copy.previousOut; } /** Create mappings from => type => to and vice versa. */ @@ -449,137 +445,80 @@ export default class AdjacencyList { return hash ? hash : null; } - /** Insert the given `edge` between `previous` and `next` edges. */ + /** Insert the given `edge` after the `previous` edge. */ linkEdge( - direction: typeof IN | typeof OUT, - prev: EdgeHash | null, + direction: typeof NEXT_IN | typeof NEXT_OUT, + prev: EdgeHash, edge: EdgeHash, - next: EdgeHash | null, ): void { - // We need `prev-1` to compute the new link between `prev` to `edge`. - let prev1 = this.getLinkedEdge(direction, prev, next) ?? 0; - // We need `next+1` to compute the new link between `edge` to `next`. - let next1 = this.getLinkedEdge(direction, next, prev) ?? 0; - prev = prev ?? 0; - next = next ?? 0; - if (prev) this.edges[hashToIndex(prev) + direction] = prev1 ^ edge; - this.edges[hashToIndex(edge) + direction] = prev ^ next; - if (next) this.edges[hashToIndex(next) + direction] = edge ^ next1; + this.edges[hashToIndex(prev) + direction] = edge; + if (direction === NEXT_IN) { + this.previousIn?.set(edge, prev); + } else { + this.previousOut?.set(edge, prev); + } } /** Remove the given `edge` between `previous` and `next` edges. */ unlinkEdge( - direction: typeof IN | typeof OUT, + direction: typeof NEXT_IN | typeof NEXT_OUT, prev: EdgeHash | null, edge: EdgeHash, next: EdgeHash | null, ): void { - // We need `prev-1` to compute the new link between `prev` to `next`. - let prev1 = this.getLinkedEdge(direction, prev, edge) ?? 0; - // We need `next+1` to compute the new link between `prev` to `next`. - let next1 = this.getLinkedEdge(direction, next, edge) ?? 0; - prev = prev ?? 0; - next = next ?? 0; - if (prev) this.edges[hashToIndex(prev) + direction] = prev1 ^ next; + if (prev) this.edges[hashToIndex(prev) + direction] = next ?? 0; this.edges[hashToIndex(edge) + direction] = 0; - if (next) this.edges[hashToIndex(next) + direction] = prev ^ next1; + + if (direction === NEXT_IN) { + this.previousIn?.delete(edge); + if (next) this.previousIn?.set(next, prev); + } else { + this.previousOut?.delete(edge); + if (next) this.previousOut?.set(next, prev); + } } /** Get the edge linked to this edge in the given direction. */ getLinkedEdge( - direction: typeof IN | typeof OUT, + direction: typeof NEXT_IN | typeof NEXT_OUT, edge: EdgeHash | null, - previous: EdgeHash | null, ): EdgeHash | null { if (edge === null) return null; - let link = this.edges[hashToIndex(edge) + direction]; - if (previous === null) return link; - return previous ^ link; + return this.edges[hashToIndex(edge) + direction]; } /** Find the edge linked to the given `edge`. */ findEdgeBefore( - direction: typeof IN | typeof OUT, + direction: typeof NEXT_IN | typeof NEXT_OUT, edge: EdgeHash, ): EdgeHash | null { - let node = direction === IN ? this.getToNode(edge) : this.getFromNode(edge); + let cached = + direction === NEXT_IN + ? this.previousIn?.get(edge) + : this.previousOut?.get(edge); - let left = - direction === IN - ? this.firstIncomingEdge(node) - : this.firstOutgoingEdge(node); + if (cached || cached === null) return cached; - if (edge === left) return null; - - let right = - direction === IN - ? this.lastIncomingEdge(node) - : this.lastOutgoingEdge(node); - - let lastLeft = null; - let lastRight = null; - while (left || right) { - if (left) { - let nextLeft = - direction === IN - ? this.getLinkedEdge(IN, left, lastLeft) - : this.getLinkedEdge(OUT, left, lastLeft); - if (nextLeft === edge) return left; - lastLeft = left; - left = nextLeft; - } - if (right) { - let nextRight = - direction === IN - ? this.getLinkedEdge(IN, right, lastRight) - : this.getLinkedEdge(OUT, right, lastRight); - if (right === edge) return nextRight; - lastRight = right; - right = nextRight; - } - } - return null; - } - - /** Find the edge the given `edge` is linked to. */ - findEdgeAfter( - direction: typeof IN | typeof OUT, - edge: EdgeHash, - ): EdgeHash | null { - let node = direction === IN ? this.getToNode(edge) : this.getFromNode(edge); - - let right = - direction === IN - ? this.lastIncomingEdge(node) - : this.lastOutgoingEdge(node); - - if (edge === right) return null; + let node = + direction === NEXT_IN ? this.getToNode(edge) : this.getFromNode(edge); - let left = - direction === IN + let candidate = + direction === NEXT_IN ? this.firstIncomingEdge(node) : this.firstOutgoingEdge(node); - let lastRight = null; - let lastLeft = null; - while (right || left) { - if (right) { - let nextRight = - direction === IN - ? this.getLinkedEdge(IN, right, lastRight) - : this.getLinkedEdge(OUT, right, lastRight); - if (nextRight === edge) return right; - lastRight = right; - right = nextRight; - } - if (left) { - let nextLeft = - direction === IN - ? this.getLinkedEdge(IN, left, lastLeft) - : this.getLinkedEdge(OUT, left, lastLeft); - if (left === edge) return nextLeft; - lastLeft = left; - left = nextLeft; + if (edge === candidate) { + candidate = null; + } else { + while (candidate) { + if (candidate) { + let next = + direction === NEXT_IN + ? this.getLinkedEdge(NEXT_IN, candidate) + : this.getLinkedEdge(NEXT_OUT, candidate); + if (next === edge) return candidate; + candidate = next; + } } } return null; @@ -655,18 +594,18 @@ export default class AdjacencyList { let lastOutgoing = this.lastOutgoingEdge(from); // If the `to` node has incoming edges, link the last edge to this one. - // from: lastIncoming <=> null - // to: lastIncoming <=> edge <=> null - if (lastIncoming) this.linkEdge(IN, lastIncoming, edge, null); + // from: lastIncoming => null + // to: lastIncoming => edge => null + if (lastIncoming) this.linkEdge(NEXT_IN, lastIncoming, edge); // Set this edge as the last incoming edge to the `to` node. this.lastIncomingEdge(to, edge); // If the `to` node has no incoming edges, set this edge as the first one. if (!firstIncoming) this.firstIncomingEdge(to, edge); // If the `from` node has outgoing edges, link the last edge to this one. - // from: lastOutgoing <=> null - // to: lastOutgoing <=> edge <=> null - if (lastOutgoing) this.linkEdge(OUT, lastOutgoing, edge, null); + // from: lastOutgoing => null + // to: lastOutgoing => edge => null + if (lastOutgoing) this.linkEdge(NEXT_OUT, lastOutgoing, edge); // Set this edge as the last outgoing edge from the `from` node. this.lastOutgoingEdge(from, edge); // If the `from` node has no outgoing edges, set this edge as the first one. @@ -811,27 +750,27 @@ export default class AdjacencyList { /** The last incoming edge to the removed edge's terminus. */ let lastIn = this.lastIncomingEdge(to); /** The next incoming edge after the removed edge. */ - let nextIn = this.findEdgeAfter(IN, edge); + let nextIn = this.getLinkedEdge(NEXT_IN, edge); /** The previous incoming edge before the removed edge. */ - let previousIn = this.findEdgeBefore(IN, edge); + let previousIn = this.findEdgeBefore(NEXT_IN, edge); /** The first outgoing edge from the removed edge's origin. */ let firstOut = this.firstOutgoingEdge(from); /** The last outgoing edge from the removed edge's origin. */ let lastOut = this.lastOutgoingEdge(from); /** The next outgoing edge after the removed edge. */ - let nextOut = this.findEdgeAfter(OUT, edge); + let nextOut = this.getLinkedEdge(NEXT_OUT, edge); /** The previous outgoing edge before the removed edge. */ - let previousOut = this.findEdgeBefore(OUT, edge); + let previousOut = this.findEdgeBefore(NEXT_OUT, edge); // Splice the removed edge out of the linked list of incoming edges. - // from: previousIn <=> edge <=> nextIn - // to: previousIn <=> nextIn - this.unlinkEdge(IN, previousIn, edge, nextIn); + // from: previousIn => edge => nextIn + // to: previousIn => nextIn + this.unlinkEdge(NEXT_IN, previousIn, edge, nextIn); // Splice the removed edge out of the linked list of outgoing edges. - // from: previousOut <=> edge <=> nextOut - // to: previousOut <=> nextOut - this.unlinkEdge(OUT, previousOut, edge, nextOut); + // from: previousOut => edge => nextOut + // to: previousOut => nextOut + this.unlinkEdge(NEXT_OUT, previousOut, edge, nextOut); // Update the terminating node's first and last incoming edges. if (firstIn === edge) this.firstIncomingEdge(to, nextIn); @@ -858,8 +797,8 @@ export default class AdjacencyList { this.edges[index + TYPE] = DELETED; this.edges[index + FROM] = 0; this.edges[index + TO] = 0; - this.edges[index + IN] = 0; - this.edges[index + OUT] = 0; + this.edges[index + NEXT_IN] = 0; + this.edges[index + NEXT_OUT] = 0; this.numEdges--; } @@ -1094,8 +1033,8 @@ function toDot(data: AdjacencyList): string { let type = data.edges[index + TYPE]; let from = data.edges[index + FROM]; let to = data.edges[index + TO]; - let nextIn = data.edges[index + IN]; - let nextOut = data.edges[index + OUT]; + let nextIn = data.edges[index + NEXT_IN]; + let nextOut = data.edges[index + NEXT_OUT]; // TODO: add type to label? let label = String(nextEdge); @@ -1230,8 +1169,8 @@ function edgesToDot(data: AdjacencyList): string { if (type && !isDeleted(type)) { let from = data.edges[i + FROM]; let to = data.edges[i + TO]; - let inLink = data.edges[i + IN]; - let outLink = data.edges[i + OUT]; + let inLink = data.edges[i + NEXT_IN]; + let outLink = data.edges[i + NEXT_OUT]; if (lastOut < i - EDGE_SIZE) { if (lastOut || data.edges[lastOut + TYPE]) { From 86b7f7d6052cc898c717d6df4c87625927a1abb1 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 20 Jul 2021 18:15:41 -0400 Subject: [PATCH 088/117] Remove old debugging code --- packages/core/core/src/AdjacencyList.js | 298 ------------------------ 1 file changed, 298 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index cd1a5fe3bf2..98d3d253f6a 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -1,6 +1,4 @@ // @flow -import {digraph} from 'graphviz'; -import {spawn} from 'child_process'; import assert from 'assert'; import {DefaultMap} from '@parcel/utils'; import {fromNodeId, toNodeId} from './types'; @@ -947,300 +945,4 @@ export default class AdjacencyList { // 4. Add 1 to guarantee a truthy result. return hash + 1; } - - toDot(type: 'graph' | 'edges' | 'nodes' = 'graph'): string { - switch (type) { - case 'edges': - return edgesToDot(this); - case 'nodes': - return nodesToDot(this); - default: - return toDot(this); - } - } - - printNode(id: NodeId): string { - return `Node [${fromNodeId(id)}]`; - } - - printEdge(hash: EdgeHash): string { - const from = this.getFromNode(hash); - const to = this.getToNode(hash); - const type = this.getEdgeType(hash); - return `Edge [${hash}] (${type}) { ${[from, '=>', to].join(' ')} }`; - } -} - -let nodeColor = {color: 'black', fontcolor: 'black'}; -let emptyColor = {color: 'darkgray', fontcolor: 'darkgray'}; -let edgeColor = {color: 'brown', fontcolor: 'brown'}; - -function toDot(data: AdjacencyList): string { - let g = digraph('G'); - g.set('rankdir', 'LR'); - g.setNodeAttribut('fontsize', 8); - g.setNodeAttribut('height', 0); - g.setNodeAttribut('shape', 'square'); - g.setEdgeAttribut('fontsize', 8); - g.setEdgeAttribut('arrowhead', 'open'); - - let graph = g.addCluster('clusterGraph'); - graph.set('label', 'Graph'); - graph.setEdgeAttribut('color', edgeColor.color); - graph.setEdgeAttribut('fontcolor', edgeColor.fontcolor); - - let adjacencyList = g.addCluster('clusterAdjacencyList'); - adjacencyList.set('label', 'AdjacencyList'); - adjacencyList.setNodeAttribut('shape', 'record'); - adjacencyList.setNodeAttribut('color', edgeColor.color); - adjacencyList.setNodeAttribut('fontcolor', edgeColor.color); - adjacencyList.setEdgeAttribut('color', edgeColor.color); - adjacencyList.setEdgeAttribut('fontcolor', edgeColor.color); - adjacencyList.setEdgeAttribut('fontsize', 6); - - for (let i = 0; i < data.nodes.length; i += NODE_SIZE) { - let firstIn = data.nodes[i + FIRST_IN]; - let firstOut = data.nodes[i + FIRST_OUT]; - - if (!firstIn && !firstOut) continue; - - adjacencyList.addNode(`node${String(nodeAt(i))}`, { - label: `node ${String( - nodeAt(i), - )} | { ${firstIn} | ${firstOut} }`, - ...nodeColor, - }); - - if (firstIn) { - adjacencyList.addEdge(`node${String(nodeAt(i))}`, `edge${firstIn}`, { - tailport: 'FIRST_IN', - label: 'FIRST_IN', - ...nodeColor, - }); - } - - if (firstOut) { - adjacencyList.addEdge(`node${String(nodeAt(i))}`, `edge${firstOut}`, { - tailport: 'FIRST_OUT', - label: 'FIRST_OUT', - ...nodeColor, - }); - } - - let nextEdge = firstOut; - while (nextEdge) { - let index = hashToIndex(nextEdge); - let type = data.edges[index + TYPE]; - let from = data.edges[index + FROM]; - let to = data.edges[index + TO]; - let nextIn = data.edges[index + NEXT_IN]; - let nextOut = data.edges[index + NEXT_OUT]; - // TODO: add type to label? - let label = String(nextEdge); - - graph.addEdge( - String(nodeAt(i)), - String(data.edges[hashToIndex(nextEdge) + TO]), - {label}, - ); - - adjacencyList.addNode(`edge${label}`, { - label: `edge ${label} | { ${type} | ${from} | ${to} | ${nextIn} | ${nextOut} }`, - }); - - adjacencyList.addEdge(`edge${label}`, `node${from}`, { - tailport: 'FROM', - label: 'FROM', - style: 'dashed', - }); - - adjacencyList.addEdge(`edge${label}`, `node${to}`, { - label: 'TO', - tailport: 'TO', - }); - - if (nextIn) { - adjacencyList.addEdge(`edge${label}`, `edge${nextIn}`, { - tailport: 'IN', - label: 'IN', - style: 'dashed', - }); - } - - if (nextOut) { - adjacencyList.addEdge(`edge${label}`, `edge${nextOut}`, { - label: 'OUT', - tailport: 'OUT', - }); - } - - nextEdge = nextOut; - } - } - - return g.to_dot(); -} - -function nodesToDot(data: AdjacencyList): string { - let g = digraph('G'); - g.set('rankdir', 'LR'); - g.set('nodesep', 0); - g.set('ranksep', 0); - g.setNodeAttribut('fontsize', 8); - g.setNodeAttribut('height', 0); - g.setNodeAttribut('shape', 'square'); - g.setEdgeAttribut('fontsize', 8); - g.setEdgeAttribut('arrowhead', 'open'); - - let nodes = g.addCluster('clusterNodes'); - nodes.set('label', 'Nodes'); - nodes.setNodeAttribut('shape', 'record'); - nodes.setEdgeAttribut('fontsize', 6); - nodes.setEdgeAttribut('style', 'invis'); - - let lastOut = 0; - for (let i = 0; i < data.nodes.length; i += NODE_SIZE) { - let firstIn = data.nodes[i + FIRST_IN]; - let firstOut = data.nodes[i + FIRST_OUT]; - if (firstIn || firstOut) { - if (lastOut < i - NODE_SIZE) { - if (lastOut === 0) { - nodes.addNode(`node${lastOut}`, { - label: `${lastOut}…${i - NODE_SIZE} | `, - ...emptyColor, - }); - } else { - nodes.addNode(`node${lastOut + NODE_SIZE}`, { - label: `${lastOut + NODE_SIZE}…${i - NODE_SIZE} | `, - ...emptyColor, - }); - nodes.addEdge(`node${lastOut}`, `node${lastOut + NODE_SIZE}`); - lastOut += NODE_SIZE; - } - } - - nodes.addNode(`node${i}`, { - label: `${fromNodeId(nodeAt(i))} | {${firstIn} | ${firstOut}}`, - }); - - nodes.addEdge(`node${lastOut}`, `node${i}`); - lastOut = i; - } else if (i === data.nodes.length - NODE_SIZE) { - if (lastOut < i - NODE_SIZE) { - if (lastOut === 0) { - nodes.addNode(`node${lastOut}`, { - label: `${lastOut}…${i - NODE_SIZE} | `, - ...emptyColor, - }); - } else { - nodes.addNode(`node${lastOut + NODE_SIZE}`, { - label: `${lastOut + NODE_SIZE}…${i - NODE_SIZE} | `, - ...emptyColor, - }); - nodes.addEdge(`node${lastOut}`, `node${lastOut + NODE_SIZE}`); - } - } - } - } - - return g.to_dot(); -} - -function edgesToDot(data: AdjacencyList): string { - let g = digraph('G'); - g.set('rankdir', 'LR'); - g.set('nodesep', 0); - g.set('ranksep', 0); - g.setNodeAttribut('fontsize', 8); - g.setNodeAttribut('height', 0); - g.setNodeAttribut('shape', 'square'); - g.setEdgeAttribut('fontsize', 8); - g.setEdgeAttribut('arrowhead', 'open'); - - let edges = g.addCluster('clusterEdges'); - edges.set('label', 'Edges'); - edges.setNodeAttribut('shape', 'record'); - edges.setEdgeAttribut('fontsize', 6); - edges.setEdgeAttribut('style', 'invis'); - - let lastOut = 0; - for (let i = 0; i < data.edges.length; i += EDGE_SIZE) { - let type = data.edges[i + TYPE]; - if (type && !isDeleted(type)) { - let from = data.edges[i + FROM]; - let to = data.edges[i + TO]; - let inLink = data.edges[i + NEXT_IN]; - let outLink = data.edges[i + NEXT_OUT]; - - if (lastOut < i - EDGE_SIZE) { - if (lastOut || data.edges[lastOut + TYPE]) { - edges.addNode(`edge${lastOut + EDGE_SIZE}`, { - label: `${lastOut + EDGE_SIZE}…${i - 1} | `, - ...emptyColor, - }); - edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); - lastOut += EDGE_SIZE; - } else if (i && !data.edges[lastOut + TYPE]) { - edges.addNode(`edge${lastOut}`, { - label: `${lastOut}…${i - 1} | `, - ...emptyColor, - }); - } - } - - edges.addNode(`edge${i}`, { - label: `${indexToHash( - i, - )} | {${type} | ${from} | ${to} | ${inLink} | ${outLink}}`, - }); - - if (lastOut !== i) { - edges.addEdge(`edge${lastOut}`, `edge${i}`); - lastOut = i; - } - } else if (i === data.edges.length - EDGE_SIZE) { - if (lastOut <= i - EDGE_SIZE) { - if (lastOut || data.edges[lastOut + TYPE]) { - edges.addNode(`edge${lastOut + EDGE_SIZE}`, { - label: `${lastOut + EDGE_SIZE}…${i + EDGE_SIZE - 1} | `, - ...emptyColor, - }); - edges.addEdge(`edge${lastOut}`, `edge${lastOut + EDGE_SIZE}`); - } else { - edges.addNode(`edge${lastOut}`, { - label: `${lastOut}…${i + EDGE_SIZE - 1} | `, - ...emptyColor, - }); - } - } - } - } - - return g.to_dot(); -} - -export function openGraphViz( - data: AdjacencyList, - type?: 'graph' | 'nodes' | 'edges', -): Promise { - if (!type) { - return Promise.all([ - openGraphViz(data, 'nodes'), - openGraphViz(data, 'edges'), - openGraphViz(data, 'graph'), - ]).then(() => void 0); - } - let preview = spawn('open', ['-a', 'Preview.app', '-f'], {stdio: ['pipe']}); - let result = new Promise((resolve, reject) => { - preview.on('close', code => { - if (code) reject(`process exited with code ${code}`); - else resolve(); - }); - }); - - let dot = spawn('dot', ['-T', 'png'], {stdio: ['pipe']}); - dot.stdout.pipe(preview.stdin); - dot.stdin.write(data.toDot(type)); - dot.stdin.end(); - return result; } From 9edfb436490a65f62a6c5b05260816108dd4866f Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 20 Jul 2021 18:19:01 -0400 Subject: [PATCH 089/117] Make deserialized AdjacencyList readonly; add clone method --- packages/core/core/src/AdjacencyList.js | 521 ++++++++++-------- packages/core/core/test/AdjacencyList.test.js | 166 +++++- packages/core/core/test/integration/worker.js | 14 + 3 files changed, 443 insertions(+), 258 deletions(-) create mode 100644 packages/core/core/test/integration/worker.js diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 98d3d253f6a..45515477a05 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -132,6 +132,11 @@ export type SerializedAdjacencyList = {| nodeCapacity: number, |}; +export type AdjacencyListOptions = {| + edgeCapacity?: number, + nodeCapacity?: number, +|}; + opaque type EdgeHash = number; /** Get the hash of the edge at the given index in the edges array. */ @@ -147,61 +152,126 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; +/** Create mappings from => type => to and vice versa. */ +function buildTypeMaps( + graph: AdjacencyList, +): {| + from: DefaultMap>>, + to: DefaultMap>>, +|} { + let from = new DefaultMap(() => new DefaultMap(() => new Set())); + let to = new DefaultMap(() => new DefaultMap(() => new Set())); + for (let node of graph.iterateNodes()) { + for (let edge of graph.iterateOutgoingEdges(node)) { + from + .get(node) + .get(graph.getEdgeType(edge)) + .add(graph.getToNode(edge)); + } + for (let edge of graph.iterateIncomingEdges(node)) { + to.get(node) + .get(graph.getEdgeType(edge)) + .add(graph.getFromNode(edge)); + } + } + return {from, to}; +} + +const readonlyDescriptor: PropertyDescriptor<(...args: any[]) => void> = { + enumerable: true, + configurable: false, + writable: false, + value: () => { + throw new Error('Deserialized AdjacencyList is readonly!'); + }, +}; + export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ - nodeCapacity: number; + #nodeCapacity: number; /** The number of edges that can fit in the edges array. */ - edgeCapacity: number; + #edgeCapacity: number; /** An array of nodes, with each node occupying `NODE_SIZE` adjacent indices. */ - nodes: Uint32Array; + #nodes: Uint32Array; /** An array of edges, with each edge occupying `EDGE_SIZE` adjacent indices. */ - edges: Uint32Array; + #edges: Uint32Array; /** The count of the number of nodes in the graph. */ - numNodes: number; + #numNodes: number; /** The count of the number of edges in the graph. */ - numEdges: number; - /** A map of node ids from => through types => to node ids. */ - fromTypeMap: ?DefaultMap>>; - /** A map of node ids to => through types => from node ids. */ - toTypeMap: ?DefaultMap>>; + #numEdges: number; /** A map of edges to the previous incoming edge. */ - previousIn: ?Map; + #previousIn: Map; /** A map of edges to the previous outgoing edge. */ - previousOut: ?Map; - - constructor(nodeCapacity: number = 128, edgeCapacity: number = 256) { - this.nodeCapacity = nodeCapacity; - this.edgeCapacity = edgeCapacity; - // Allocate two TypedArrays, one for nodes, and one for edges. - // These are created with reasonable initial sizes, - // but will be resized as necessary. - this.nodes = new Uint32Array(nodeCapacity * NODE_SIZE); - this.edges = new Uint32Array(edgeCapacity * EDGE_SIZE); - this.numNodes = 0; - this.numEdges = 0; - - this.fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); - this.toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); - - this.previousIn = new Map(); - this.previousOut = new Map(); + #previousOut: Map; + #typeMaps: ?{| + /** A map of node ids from => through types => to node ids. */ + from: DefaultMap>>, + /** A map of node ids to => through types => from node ids. */ + to: DefaultMap>>, + |}; + + constructor( + opts?: SerializedAdjacencyList | AdjacencyListOptions, + ) { + let { + nodeCapacity = 128, + edgeCapacity = 256, + numNodes = 0, + numEdges = 0, + // $FlowFixMe[incompatible-call] + nodes = new Uint32Array( + new SharedArrayBuffer( + nodeCapacity * NODE_SIZE * Uint32Array.BYTES_PER_ELEMENT, + ), + ), + // $FlowFixMe[incompatible-call] + edges = new Uint32Array( + new SharedArrayBuffer( + edgeCapacity * EDGE_SIZE * Uint32Array.BYTES_PER_ELEMENT, + ), + ), + } = opts ?? {}; + + this.#nodeCapacity = nodeCapacity; + this.#edgeCapacity = edgeCapacity; + this.#numNodes = numNodes; + this.#numEdges = numEdges; + this.#nodes = nodes; + this.#edges = edges; + this.#previousIn = new Map(); + this.#previousOut = new Map(); } /** * Create a new `AdjacencyList` from the given options. * - * The options should match the format returned by the `serialize` method. + * Note that the returned AdjacencyList` will be readonly, + * as it simply provides a view onto the shared memory addresses + * of the serialized data. + * + * If a mutable `AdjacencyList` is required, + * use `AdjacencyList.deserialize(opts, true)` instead. */ static deserialize( opts: SerializedAdjacencyList, + mutable?: boolean, ): AdjacencyList { - let res = Object.create(AdjacencyList.prototype); - res.nodes = opts.nodes; - res.edges = opts.edges; - res.numNodes = opts.numNodes; - res.numEdges = opts.numEdges; - res.nodeCapacity = opts.nodeCapacity; - res.edgeCapacity = opts.edgeCapacity; + let res = new AdjacencyList(opts); + if (mutable) return res.clone(); + // Make the new instance readonly. + // We do this because deserialization happens from a shared buffer, + // so mutation would be a bad idea. + // $FlowFixMe[cannot-write] + Object.defineProperties(res, { + addEdge: readonlyDescriptor, + addNode: readonlyDescriptor, + linkEdge: readonlyDescriptor, + resizeNodes: readonlyDescriptor, + resizeEdges: readonlyDescriptor, + removeEdge: readonlyDescriptor, + setEdge: readonlyDescriptor, + unlinkEdge: readonlyDescriptor, + }); return res; } @@ -210,15 +280,48 @@ export default class AdjacencyList { */ serialize(): SerializedAdjacencyList { return { - nodes: this.nodes, - edges: this.edges, - numNodes: this.numNodes, - numEdges: this.numEdges, - edgeCapacity: this.edgeCapacity, - nodeCapacity: this.nodeCapacity, + nodes: this.#nodes, + edges: this.#edges, + numNodes: this.#numNodes, + numEdges: this.#numEdges, + edgeCapacity: this.#edgeCapacity, + nodeCapacity: this.#nodeCapacity, }; } + /** + * Returns a clone of this graph. + * + * This differs from `AdjacenyList.deserialize()` + * in that the clone copies the underlying data to new memory addresses. + */ + clone(): AdjacencyList { + // $FlowFixMe[incompatible-call] + let nodes = new Uint32Array( + new SharedArrayBuffer( + this.#nodeCapacity * NODE_SIZE * Uint32Array.BYTES_PER_ELEMENT, + ), + ); + nodes.set(this.#nodes); + + // $FlowFixMe[incompatible-call] + let edges = new Uint32Array( + new SharedArrayBuffer( + this.#edgeCapacity * EDGE_SIZE * Uint32Array.BYTES_PER_ELEMENT, + ), + ); + edges.set(this.#edges); + + return new AdjacencyList({ + nodeCapacity: this.#nodeCapacity, + edgeCapacity: this.#edgeCapacity, + numNodes: this.#numNodes, + numEdges: this.#numEdges, + nodes, + edges, + }); + } + get stats(): {| /** The number of nodes in the graph. */ nodes: number, @@ -239,7 +342,6 @@ export default class AdjacencyList { /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ uniformity: number, |} { - let {numNodes, nodeCapacity, numEdges, edgeCapacity} = this; let buckets = new Map(); for (let {from, to, type} of this.getAllEdges()) { let hash = this.hash(from, to, type); @@ -262,24 +364,26 @@ export default class AdjacencyList { let uniformity = distribution / - ((numEdges / (2 * edgeCapacity)) * (numEdges + 2 * edgeCapacity - 1)); + ((this.#numEdges / (2 * this.#edgeCapacity)) * + (this.#numEdges + 2 * this.#edgeCapacity - 1)); return { - nodes: numNodes, - edges: numEdges, - nodeCapacity, - nodeLoad: numNodes / nodeCapacity, - edgeCapacity, - edgeLoad: numEdges / edgeCapacity, + nodes: this.#numNodes, + edges: this.#numEdges, + nodeCapacity: this.#nodeCapacity, + nodeLoad: this.#numNodes / this.#nodeCapacity, + edgeCapacity: this.#edgeCapacity, + edgeLoad: this.#numEdges / this.#edgeCapacity, collisions, maxCollisions, uniformity, }; } + /** Iterate over node ids in the `AdjacencyList`. */ - *iterateNodes(max: number = this.numNodes): Iterator { + *iterateNodes(max: number = this.#numNodes): Iterator { let count = 0; - for (let i = 0; i < this.nodes.length; i += NODE_SIZE) { + for (let i = 0; i < this.#nodes.length; i += NODE_SIZE) { if (count++ >= max) break; yield nodeAt(i); } @@ -287,7 +391,7 @@ export default class AdjacencyList { /** Iterate over outgoing edge hashes from the given `nodeId` the `AdjacencyList`. */ *iterateOutgoingEdges(nodeId: NodeId): Iterator { - let hash = this.firstOutgoingEdge(nodeId); + let hash = this.getEdge(FIRST_OUT, nodeId); while (hash) { yield hash; hash = this.getLinkedEdge(NEXT_OUT, hash); @@ -296,7 +400,7 @@ export default class AdjacencyList { /** Iterate over incoming edge hashes to the given `nodeId` the `AdjacencyList`. */ *iterateIncomingEdges(nodeId: NodeId): Iterator { - let hash = this.firstIncomingEdge(nodeId); + let hash = this.getEdge(FIRST_IN, nodeId); while (hash) { yield hash; hash = this.getLinkedEdge(NEXT_IN, hash); @@ -305,26 +409,26 @@ export default class AdjacencyList { /** Check that the edge exists in the `AdjacencyList`. */ edgeExists(edge: EdgeHash): boolean { - let type = (this.edges[hashToIndex(edge) + TYPE]: any); + let type = (this.#edges[hashToIndex(edge) + TYPE]: any); return Boolean(type) && !isDeleted(type); } /** Get the type of the given edge. */ getEdgeType(edge: EdgeHash): TEdgeType { assert(this.edgeExists(edge)); - return (this.edges[hashToIndex(edge) + TYPE]: any); + return (this.#edges[hashToIndex(edge) + TYPE]: any); } /** Get the node id the given edge originates from */ getFromNode(edge: EdgeHash): NodeId { assert(this.edgeExists(edge)); - return toNodeId(this.edges[hashToIndex(edge) + FROM]); + return toNodeId(this.#edges[hashToIndex(edge) + FROM]); } /** Get the node id the given edge terminates to. */ getToNode(edge: EdgeHash): NodeId { assert(this.edgeExists(edge)); - return toNodeId(this.edges[hashToIndex(edge) + TO]); + return toNodeId(this.#edges[hashToIndex(edge) + TO]); } /** @@ -334,12 +438,15 @@ export default class AdjacencyList { * the allocated size of the `nodes` array. */ resizeNodes(size: number) { - let nodes = this.nodes; + let nodes = this.#nodes; // Allocate the required space for a `nodes` array of the given `size`. - this.nodes = new Uint32Array(size * NODE_SIZE); + // $FlowFixMe[incompatible-call] + this.#nodes = new Uint32Array( + new SharedArrayBuffer(size * NODE_SIZE * Uint32Array.BYTES_PER_ELEMENT), + ); // Copy the existing nodes into the new array. - this.nodes.set(nodes); - this.nodeCapacity = size; + this.#nodes.set(nodes); + this.#nodeCapacity = size; } /** @@ -350,8 +457,11 @@ export default class AdjacencyList { */ resizeEdges(size: number) { // Allocate the required space for new `nodes` and `edges` arrays. - let copy = new AdjacencyList(this.nodeCapacity, size); - copy.numNodes = this.numNodes; + let copy = new AdjacencyList({ + nodeCapacity: this.#nodeCapacity, + edgeCapacity: size, + }); + copy.#numNodes = this.#numNodes; // For each node in the graph, copy the existing edges into the new array. for (let from of this.iterateNodes()) { @@ -361,86 +471,39 @@ export default class AdjacencyList { } // Finally, copy the new data arrays over to this graph. - this.nodes = copy.nodes; - this.edges = copy.edges; - this.edgeCapacity = size; - this.fromTypeMap = copy.fromTypeMap; - this.toTypeMap = copy.toTypeMap; - this.previousIn = copy.previousIn; - this.previousOut = copy.previousOut; - } - - /** Create mappings from => type => to and vice versa. */ - buildTypeMaps(): {| - fromTypeMap: DefaultMap>>, - toTypeMap: DefaultMap>>, - |} { - let fromTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); - let toTypeMap = new DefaultMap(() => new DefaultMap(() => new Set())); - for (let node of this.iterateNodes()) { - for (let edge of this.iterateOutgoingEdges(node)) { - fromTypeMap - .get(node) - .get(this.getEdgeType(edge)) - .add(this.getToNode(edge)); - } - for (let edge of this.iterateIncomingEdges(node)) { - toTypeMap - .get(node) - .get(this.getEdgeType(edge)) - .add(this.getFromNode(edge)); - } - } - this.fromTypeMap = fromTypeMap; - this.toTypeMap = toTypeMap; - return {fromTypeMap, toTypeMap}; - } - - getOrCreateFromTypeMap(): DefaultMap< - NodeId, - DefaultMap>, - > { - return this.fromTypeMap || this.buildTypeMaps().fromTypeMap; - } - - getOrCreateToTypeMap(): DefaultMap>> { - return this.toTypeMap || this.buildTypeMaps().toTypeMap; - } - - /** Get or set the first outgoing edge from the given node. */ - firstOutgoingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { - if (edge !== undefined) { - this.nodes[indexOfNode(node) + FIRST_OUT] = edge ?? 0; - } - let hash = this.nodes[indexOfNode(node) + FIRST_OUT]; - return hash ? hash : null; - } - - /** Get or set the last outgoing edge from the given node. */ - lastOutgoingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { - if (edge !== undefined) { - this.nodes[indexOfNode(node) + LAST_OUT] = edge ?? 0; - } - let hash = this.nodes[indexOfNode(node) + LAST_OUT]; - return hash ? hash : null; - } - - /** Get or set the first incoming edge to the given node. */ - firstIncomingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { - if (edge !== undefined) { - this.nodes[indexOfNode(node) + FIRST_IN] = edge ?? 0; - } - let hash = this.nodes[indexOfNode(node) + FIRST_IN]; + this.#nodes = copy.#nodes; + this.#edges = copy.#edges; + this.#edgeCapacity = size; + this.#typeMaps = copy.#typeMaps; + this.#previousIn = copy.#previousIn; + this.#previousOut = copy.#previousOut; + } + + /** Get the first or last edge to or from the given node. */ + getEdge( + direction: + | typeof FIRST_IN + | typeof FIRST_OUT + | typeof LAST_IN + | typeof LAST_OUT, + node: NodeId, + ): EdgeHash | null { + let hash = this.#nodes[indexOfNode(node) + direction]; return hash ? hash : null; } - /** Get or set the last incoming edge to the given node. */ - lastIncomingEdge(node: NodeId, edge: ?(EdgeHash | null)): EdgeHash | null { - if (edge !== undefined) { - this.nodes[indexOfNode(node) + LAST_IN] = edge ?? 0; - } - let hash = this.nodes[indexOfNode(node) + LAST_IN]; - return hash ? hash : null; + /** Set the first or last edge to or from the given node. */ + setEdge( + direction: + | typeof FIRST_IN + | typeof FIRST_OUT + | typeof LAST_IN + | typeof LAST_OUT, + node: NodeId, + edge: EdgeHash | null, + ) { + let hash = edge ?? 0; + this.#nodes[indexOfNode(node) + direction] = hash; } /** Insert the given `edge` after the `previous` edge. */ @@ -449,11 +512,11 @@ export default class AdjacencyList { prev: EdgeHash, edge: EdgeHash, ): void { - this.edges[hashToIndex(prev) + direction] = edge; + this.#edges[hashToIndex(prev) + direction] = edge; if (direction === NEXT_IN) { - this.previousIn?.set(edge, prev); + this.#previousIn.set(edge, prev); } else { - this.previousOut?.set(edge, prev); + this.#previousOut.set(edge, prev); } } @@ -464,15 +527,15 @@ export default class AdjacencyList { edge: EdgeHash, next: EdgeHash | null, ): void { - if (prev) this.edges[hashToIndex(prev) + direction] = next ?? 0; - this.edges[hashToIndex(edge) + direction] = 0; + if (prev) this.#edges[hashToIndex(prev) + direction] = next ?? 0; + this.#edges[hashToIndex(edge) + direction] = 0; if (direction === NEXT_IN) { - this.previousIn?.delete(edge); - if (next) this.previousIn?.set(next, prev); + this.#previousIn.delete(edge); + if (next) this.#previousIn.set(next, prev); } else { - this.previousOut?.delete(edge); - if (next) this.previousOut?.set(next, prev); + this.#previousOut.delete(edge); + if (next) this.#previousOut.set(next, prev); } } @@ -482,7 +545,7 @@ export default class AdjacencyList { edge: EdgeHash | null, ): EdgeHash | null { if (edge === null) return null; - return this.edges[hashToIndex(edge) + direction]; + return this.#edges[hashToIndex(edge) + direction]; } /** Find the edge linked to the given `edge`. */ @@ -492,8 +555,8 @@ export default class AdjacencyList { ): EdgeHash | null { let cached = direction === NEXT_IN - ? this.previousIn?.get(edge) - : this.previousOut?.get(edge); + ? this.#previousIn.get(edge) + : this.#previousOut.get(edge); if (cached || cached === null) return cached; @@ -502,8 +565,8 @@ export default class AdjacencyList { let candidate = direction === NEXT_IN - ? this.firstIncomingEdge(node) - : this.firstOutgoingEdge(node); + ? this.getEdge(FIRST_IN, node) + : this.getEdge(FIRST_OUT, node); if (edge === candidate) { candidate = null; @@ -528,15 +591,15 @@ export default class AdjacencyList { * Returns the id of the added node. */ addNode(): NodeId { - let id = this.numNodes; - this.numNodes++; + let id = this.#numNodes; + this.#numNodes++; // If we're in danger of overflowing the `nodes` array, resize it. - if (this.numNodes >= this.nodeCapacity) { + if (this.#numNodes >= this.#nodeCapacity) { // The size of `nodes` doubles every time we reach the current capacity. // This means in the worst case, we will have `O(n - 1)` _extra_ // space allocated where `n` is a number nodes that is 1 more // than the previous capacity. - this.resizeNodes(this.nodeCapacity * 2); + this.resizeNodes(this.#nodeCapacity * 2); } return toNodeId(id); } @@ -552,23 +615,23 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - if (fromNodeId(from) < 0 || fromNodeId(from) >= this.numNodes) { + if (fromNodeId(from) < 0 || fromNodeId(from) >= this.#numNodes) { throw new Error(`Unknown node ${String(from)}`); } - if (fromNodeId(to) < 0 || fromNodeId(to) >= this.numNodes) { + if (fromNodeId(to) < 0 || fromNodeId(to) >= this.#numNodes) { throw new Error(`Unknown node ${String(to)}`); } if (type <= 0) throw new Error(`Unsupported edge type ${0}`); // The percentage of utilization of the total capacity of `edges`. - let load = (this.numEdges + 1) / this.edgeCapacity; + let load = (this.#numEdges + 1) / this.#edgeCapacity; // If we're in danger of overflowing the `edges` array, resize it. if (load > 0.7) { // The size of `edges` doubles every time we reach the current capacity. // This means in the worst case, we will have `O(n - 1)` _extra_ // space allocated where `n` is a number edges that is 1 more // than the previous capacity. - this.resizeEdges(this.edgeCapacity * 2); + this.resizeEdges(this.#edgeCapacity * 2); } // We use the hash of the edge as the index for the edge. @@ -579,43 +642,43 @@ export default class AdjacencyList { return false; } - this.numEdges++; + this.#numEdges++; - this.edges[index + TYPE] = type; - this.edges[index + FROM] = fromNodeId(from); - this.edges[index + TO] = fromNodeId(to); + this.#edges[index + TYPE] = type; + this.#edges[index + FROM] = fromNodeId(from); + this.#edges[index + TO] = fromNodeId(to); let edge = indexToHash(index); - let firstIncoming = this.firstIncomingEdge(to); - let lastIncoming = this.lastIncomingEdge(to); - let firstOutgoing = this.firstOutgoingEdge(from); - let lastOutgoing = this.lastOutgoingEdge(from); + let firstIncoming = this.getEdge(FIRST_IN, to); + let lastIncoming = this.getEdge(LAST_IN, to); + let firstOutgoing = this.getEdge(FIRST_OUT, from); + let lastOutgoing = this.getEdge(LAST_OUT, from); // If the `to` node has incoming edges, link the last edge to this one. // from: lastIncoming => null // to: lastIncoming => edge => null if (lastIncoming) this.linkEdge(NEXT_IN, lastIncoming, edge); // Set this edge as the last incoming edge to the `to` node. - this.lastIncomingEdge(to, edge); + this.setEdge(LAST_IN, to, edge); // If the `to` node has no incoming edges, set this edge as the first one. - if (!firstIncoming) this.firstIncomingEdge(to, edge); + if (!firstIncoming) this.setEdge(FIRST_IN, to, edge); // If the `from` node has outgoing edges, link the last edge to this one. // from: lastOutgoing => null // to: lastOutgoing => edge => null if (lastOutgoing) this.linkEdge(NEXT_OUT, lastOutgoing, edge); // Set this edge as the last outgoing edge from the `from` node. - this.lastOutgoingEdge(from, edge); + this.setEdge(LAST_OUT, from, edge); // If the `from` node has no outgoing edges, set this edge as the first one. - if (!firstOutgoing) this.firstOutgoingEdge(from, edge); + if (!firstOutgoing) this.setEdge(FIRST_OUT, from, edge); - this.fromTypeMap - ?.get(from) + this.#typeMaps?.from + .get(from) .get(type) .add(to); - this.toTypeMap - ?.get(to) + this.#typeMaps?.to + .get(to) .get(type) .add(from); @@ -636,16 +699,16 @@ export default class AdjacencyList { // We want to avoid scanning the array forever, // so keep track of where we start scanning from. let startIndex = index; - let size = this.edges.length; + let size = this.#edges.length; // Since it is possible for multiple edges to have the same hash, // we check that the edge at the index matching the hash is actually // the edge we're looking for. If it's not, we scan forward in the // edges array, assuming that the the edge we're looking for is close by. - while (this.edges[index + TYPE]) { + while (this.#edges[index + TYPE]) { if ( - this.edges[index + FROM] === from && - this.edges[index + TO] === to && - (type === ALL_EDGE_TYPES || this.edges[index + TYPE] === type) + this.#edges[index + FROM] === from && + this.#edges[index + TO] === to && + (type === ALL_EDGE_TYPES || this.#edges[index + TYPE] === type) ) { return index; } else { @@ -679,16 +742,16 @@ export default class AdjacencyList { // We do this instead of simply using the `index` because it is possible // for multiple edges to have the same hash. let deletedEdge = 0; - let size = this.edges.length; - while (this.edges[index + TYPE]) { + let size = this.#edges.length; + while (this.#edges[index + TYPE]) { // If the edge at this index was deleted, we can reuse the slot. - if (isDeleted(this.edges[index + TYPE])) { + if (isDeleted(this.#edges[index + TYPE])) { deletedEdge = index; } else if ( - this.edges[index + FROM] === from && - this.edges[index + TO] === to && + this.#edges[index + FROM] === from && + this.#edges[index + TO] === to && // if type === ALL_EDGE_TYPES, return all edges - (type === ALL_EDGE_TYPES || this.edges[index + TYPE] === type) + (type === ALL_EDGE_TYPES || this.#edges[index + TYPE] === type) ) { // If this edge is already in the graph, bail out. return -1; @@ -744,17 +807,17 @@ export default class AdjacencyList { /** The removed edge. */ let edge = indexToHash(index); /** The first incoming edge to the removed edge's terminus. */ - let firstIn = this.firstIncomingEdge(to); + let firstIn = this.getEdge(FIRST_IN, to); /** The last incoming edge to the removed edge's terminus. */ - let lastIn = this.lastIncomingEdge(to); + let lastIn = this.getEdge(LAST_IN, to); /** The next incoming edge after the removed edge. */ let nextIn = this.getLinkedEdge(NEXT_IN, edge); /** The previous incoming edge before the removed edge. */ let previousIn = this.findEdgeBefore(NEXT_IN, edge); /** The first outgoing edge from the removed edge's origin. */ - let firstOut = this.firstOutgoingEdge(from); + let firstOut = this.getEdge(FIRST_OUT, from); /** The last outgoing edge from the removed edge's origin. */ - let lastOut = this.lastOutgoingEdge(from); + let lastOut = this.getEdge(LAST_OUT, from); /** The next outgoing edge after the removed edge. */ let nextOut = this.getLinkedEdge(NEXT_OUT, edge); /** The previous outgoing edge before the removed edge. */ @@ -771,20 +834,20 @@ export default class AdjacencyList { this.unlinkEdge(NEXT_OUT, previousOut, edge, nextOut); // Update the terminating node's first and last incoming edges. - if (firstIn === edge) this.firstIncomingEdge(to, nextIn); - if (lastIn === edge) this.lastIncomingEdge(to, previousIn); + if (firstIn === edge) this.setEdge(FIRST_IN, to, nextIn); + if (lastIn === edge) this.setEdge(LAST_IN, to, previousIn); // Update the originating node's first and last outgoing edges. - if (firstOut === edge) this.firstOutgoingEdge(from, nextOut); - if (lastOut === edge) this.lastOutgoingEdge(from, previousOut); + if (firstOut === edge) this.setEdge(FIRST_OUT, from, nextOut); + if (lastOut === edge) this.setEdge(LAST_OUT, from, previousOut); - this.fromTypeMap - ?.get(from) + this.#typeMaps?.from + .get(from) .get(type) .delete(to); - this.toTypeMap - ?.get(to) + this.#typeMaps?.to + .get(to) .get(type) .delete(from); @@ -792,24 +855,24 @@ export default class AdjacencyList { // We do this so that clustered edges can still be found // by scanning forward in the array from the first index for // the cluster. - this.edges[index + TYPE] = DELETED; - this.edges[index + FROM] = 0; - this.edges[index + TO] = 0; - this.edges[index + NEXT_IN] = 0; - this.edges[index + NEXT_OUT] = 0; + this.#edges[index + TYPE] = DELETED; + this.#edges[index + FROM] = 0; + this.#edges[index + TO] = 0; + this.#edges[index + NEXT_IN] = 0; + this.#edges[index + NEXT_OUT] = 0; - this.numEdges--; + this.#numEdges--; } hasInboundEdges(to: NodeId): boolean { - return Boolean(this.firstIncomingEdge(to)); + return Boolean(this.getEdge(FIRST_IN, to)); } getInboundEdgesByType(to: NodeId): {|type: TEdgeType, from: NodeId|}[] { - let toTypeMap = this.getOrCreateToTypeMap(); + let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); let edges = []; - if (toTypeMap.has(to)) { - for (let [type, nodes] of toTypeMap.get(to)) { + if (typeMaps.to.has(to)) { + for (let [type, nodes] of typeMaps.to.get(to)) { for (let from of nodes) { edges.push({type: (type: any), from}); } @@ -819,10 +882,10 @@ export default class AdjacencyList { } getOutboundEdgesByType(from: NodeId): {|type: TEdgeType, to: NodeId|}[] { - let fromTypeMap = this.getOrCreateFromTypeMap(); + let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); let edges = []; - if (fromTypeMap.has(from)) { - for (let [type, nodes] of fromTypeMap.get(from)) { + if (typeMaps.from.has(from)) { + for (let [type, nodes] of typeMaps.from.get(from)) { for (let to of nodes) { edges.push({type: (type: any), to}); } @@ -856,28 +919,28 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let fromTypeMap = this.getOrCreateFromTypeMap(); + let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); let nodes = []; - if (fromTypeMap.has(from)) { + if (typeMaps.from.has(from)) { if (isAllEdgeTypes) { - for (let [, toSet] of fromTypeMap.get(from)) { + for (let [, toSet] of typeMaps.from.get(from)) { nodes.push(...toSet); } } else if (Array.isArray(type)) { - let fromType = fromTypeMap.get(from); + let fromType = typeMaps.from.get(from); for (let typeNum of type) { if (fromType.has(typeNum)) { nodes.push(...fromType.get(typeNum)); } } } else { - if (fromTypeMap.get(from).has((type: any))) { - nodes.push(...fromTypeMap.get(from).get((type: any))); + if (typeMaps.from.get(from).has((type: any))) { + nodes.push(...typeMaps.from.get(from).get((type: any))); } } } @@ -895,28 +958,28 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let toTypeMap = this.getOrCreateToTypeMap(); + let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); let nodes = []; - if (toTypeMap.has(to)) { + if (typeMaps.to.has(to)) { if (isAllEdgeTypes) { - for (let [, from] of toTypeMap.get(to)) { + for (let [, from] of typeMaps.to.get(to)) { nodes.push(...from); } } else if (Array.isArray(type)) { - let toType = toTypeMap.get(to); + let toType = typeMaps.to.get(to); for (let typeNum of type) { if (toType.has(typeNum)) { nodes.push(...toType.get(typeNum)); } } } else { - if (toTypeMap.get(to).has((type: any))) { - nodes.push(...toTypeMap.get(to).get((type: any))); + if (typeMaps.to.get(to).has((type: any))) { + nodes.push(...typeMaps.to.get(to).get((type: any))); } } } @@ -939,7 +1002,7 @@ export default class AdjacencyList { // $FlowFixMe[incompatible-type] let hash = '' + from + to + type - 0; // 2. Map the hash to a value modulo the edge capacity. - hash %= this.edgeCapacity; + hash %= this.#edgeCapacity; // 3. Multiply by EDGE_SIZE to select a valid index. hash *= EDGE_SIZE; // 4. Add 1 to guarantee a truthy result. diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 25816310a8a..b4711cb4c5e 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -1,6 +1,8 @@ // @flow strict-local import assert from 'assert'; +import path from 'path'; +import {Worker} from 'worker_threads'; import AdjacencyList, { NODE_SIZE, @@ -11,7 +13,10 @@ import {toNodeId} from '../src/types'; describe('AdjacencyList', () => { it('constructor should initialize an empty graph', () => { - let graph = new AdjacencyList(1, 1); + let graph = new AdjacencyList({ + nodeCapacity: 1, + edgeCapacity: 1, + }).serialize(); assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); assert.deepEqual(graph.edges, new Uint32Array(1 * EDGE_SIZE)); assert.equal(graph.numNodes, 0); @@ -22,19 +27,19 @@ describe('AdjacencyList', () => { let graph = new AdjacencyList(); let id = graph.addNode(); assert.equal(id, 0); - assert.equal(graph.numNodes, 1); + assert.equal(graph.serialize().numNodes, 1); }); it('addNode should resize nodes array when necessary', () => { - let graph = new AdjacencyList(1); + let graph = new AdjacencyList({nodeCapacity: 1}); graph.addNode(); - assert.deepEqual(graph.nodes, new Uint32Array(2 * NODE_SIZE)); + assert.deepEqual(graph.serialize().nodes, new Uint32Array(2 * NODE_SIZE)); graph.addNode(); - assert.deepEqual(graph.nodes, new Uint32Array(4 * NODE_SIZE)); + assert.deepEqual(graph.serialize().nodes, new Uint32Array(4 * NODE_SIZE)); graph.addNode(); - assert.deepEqual(graph.nodes, new Uint32Array(4 * NODE_SIZE)); + assert.deepEqual(graph.serialize().nodes, new Uint32Array(4 * NODE_SIZE)); graph.addNode(); - assert.deepEqual(graph.nodes, new Uint32Array(8 * NODE_SIZE)); + assert.deepEqual(graph.serialize().nodes, new Uint32Array(8 * NODE_SIZE)); }); it('removeEdge should remove an edge from the graph', () => { @@ -61,7 +66,7 @@ describe('AdjacencyList', () => { }); it('removeEdge should remove an edge of a specific type from the graph', () => { - let graph = new AdjacencyList(2, 5); + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); @@ -71,7 +76,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b, 3); graph.addEdge(a, c); graph.addEdge(a, d, 3); - assert.equal(graph.numEdges, 5); + assert.equal(graph.serialize().numEdges, 5); assert.ok(graph.hasEdge(a, b)); assert.ok(graph.hasEdge(a, b, 2)); assert.ok(graph.hasEdge(a, b, 3)); @@ -86,7 +91,7 @@ describe('AdjacencyList', () => { ]); graph.removeEdge(a, b, 2); - assert.equal(graph.numEdges, 4); + assert.equal(graph.serialize().numEdges, 4); assert.ok(graph.hasEdge(a, b)); assert.equal(graph.hasEdge(a, b, 2), false); assert.ok(graph.hasEdge(a, b, 3)); @@ -101,12 +106,12 @@ describe('AdjacencyList', () => { }); it('addEdge should add an edge to the graph', () => { - let graph = new AdjacencyList(2, 1); + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); let a = graph.addNode(); let b = graph.addNode(); graph.addEdge(a, b); - assert.equal(graph.numNodes, 2); - assert.equal(graph.numEdges, 1); + assert.equal(graph.serialize().numNodes, 2); + assert.equal(graph.serialize().numEdges, 1); assert.ok(graph.hasEdge(a, b)); }); @@ -160,19 +165,19 @@ describe('AdjacencyList', () => { }); it('addEdge should resize edges array when necessary', () => { - let graph = new AdjacencyList(2, 1); + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); - assert.equal(graph.edges.length, EDGE_SIZE); + assert.equal(graph.serialize().edges.length, EDGE_SIZE); graph.addEdge(a, b); - assert.equal(graph.edges.length, EDGE_SIZE * 2); + assert.equal(graph.serialize().edges.length, EDGE_SIZE * 2); graph.addEdge(a, c); - assert.equal(graph.edges.length, EDGE_SIZE * 4); + assert.equal(graph.serialize().edges.length, EDGE_SIZE * 4); }); it('addEdge should error when a node has not been added to the graph', () => { - let graph = new AdjacencyList(2, 1); + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(1))); graph.addNode(); assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(1))); @@ -182,7 +187,7 @@ describe('AdjacencyList', () => { }); it('addEdge should error when an unsupported edge type is provided', () => { - let graph = new AdjacencyList(2, 1); + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); let a = graph.addNode(); let b = graph.addNode(); assert.throws(() => graph.addEdge(a, b, 0)); @@ -201,13 +206,13 @@ describe('AdjacencyList', () => { graph.addEdge(n0, n1, 1); graph.addEdge(n1, n2, 1); let index = graph.indexOf(n0, n1, 1); - assert(graph.edges[index] > 0); - assert(!isDeleted(graph.edges[index])); + assert(graph.serialize().edges[index] > 0); + assert(!isDeleted(graph.serialize().edges[index])); graph.removeEdge(n0, n1, 1); - assert(isDeleted(graph.edges[index])); + assert(isDeleted(graph.serialize().edges[index])); graph.addEdge(n1, n2, 1); - assert(isDeleted(graph.edges[index])); - assert(graph.numEdges === 1); + assert(isDeleted(graph.serialize().edges[index])); + assert(graph.serialize().numEdges === 1); }); it('addEdge should replace a deleted edge', () => { @@ -216,12 +221,115 @@ describe('AdjacencyList', () => { let n1 = graph.addNode(); graph.addEdge(n0, n1, 1); let index = graph.indexOf(n0, n1, 1); - assert(graph.edges[index] > 0); - assert(!isDeleted(graph.edges[index])); + assert(graph.serialize().edges[index] > 0); + assert(!isDeleted(graph.serialize().edges[index])); graph.removeEdge(n0, n1, 1); - assert(isDeleted(graph.edges[index])); + assert(isDeleted(graph.serialize().edges[index])); graph.addEdge(n0, n1, 1); - assert(graph.edges[index] > 0); - assert(!isDeleted(graph.edges[index])); + assert(graph.serialize().edges[index] > 0); + assert(!isDeleted(graph.serialize().edges[index])); + }); + + it('clone should make a new copy', () => { + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 1); + graph.addEdge(n0, n1, 2); + + let originalSerialized = graph.serialize(); + + let copy = graph.clone(); + let copySerialized = copy.serialize(); + + assert(copySerialized.nodes !== originalSerialized.nodes); + assert(copySerialized.edges !== originalSerialized.edges); + copySerialized.nodes[0] = Math.max(copySerialized.nodes[0], 1) * 2; + copySerialized.edges[0] = Math.max(copySerialized.edges[0], 1) * 2; + assert(copySerialized.nodes[0] !== originalSerialized.nodes[0]); + assert(copySerialized.edges[0] !== originalSerialized.edges[0]); + }); + + describe('serialize', function() { + this.timeout(10000); + + it('should share the underlying data across worker threads', async () => { + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 1); + graph.addEdge(n0, n1, 2); + + let worker = new Worker(path.join(__dirname, 'integration/worker.js')); + + let originalSerialized = graph.serialize(); + let originalNodes = [...originalSerialized.nodes]; + let originalEdges = [...originalSerialized.edges]; + let work = new Promise(resolve => worker.on('message', resolve)); + worker.postMessage(originalSerialized); + let received = AdjacencyList.deserialize(await work); + await worker.terminate(); + + assert.deepEqual(received.serialize().nodes, graph.serialize().nodes); + assert.deepEqual(received.serialize().edges, graph.serialize().edges); + + originalNodes.forEach((v, i) => { + assert.equal(v * 2, received.serialize().nodes[i]); + assert.equal(v * 2, graph.serialize().nodes[i]); + }); + + originalEdges.forEach((v, i) => { + assert.equal(v * 2, received.serialize().edges[i]); + assert.equal(v * 2, graph.serialize().edges[i]); + }); + }); + }); + + describe('deserialize', function() { + it('should make a readonly AdjacencyList', () => { + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 1); + graph.addEdge(n0, n1, 2); + let edge1 = graph.hash(n0, n1, 1); + let edge2 = graph.hash(n0, n1, 2); + + let copy = AdjacencyList.deserialize(graph.serialize()); + + assert.throws(() => copy.addNode(), /readonly/); + assert.throws(() => copy.addEdge(n0, n1, 1), /readonly/); + assert.throws(() => copy.addEdge(n0, n1, 3), /readonly/); + assert.throws(() => copy.removeEdge(n0, n1, 1), /readonly/); + assert.throws(() => copy.removeEdge(n0, n1, 3), /readonly/); + assert.throws(() => copy.resizeNodes(10), /readonly/); + assert.throws(() => copy.resizeEdges(10), /readonly/); + assert.throws(() => copy.setEdge(3, n0, null), /readonly/); + assert.throws(() => copy.linkEdge(3, edge1, edge2), /readonly/); + assert.throws(() => copy.unlinkEdge(3, null, edge1, null), /readonly/); + }); + + it('should allow a mutable AdjacencyList', () => { + let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); + let n0 = graph.addNode(); + let n1 = graph.addNode(); + graph.addEdge(n0, n1, 1); + graph.addEdge(n0, n1, 2); + let edge1 = graph.hash(n0, n1, 1); + let edge2 = graph.hash(n0, n1, 2); + + let copy = AdjacencyList.deserialize(graph.serialize(), true); + + assert.doesNotThrow(() => copy.addNode()); + assert.doesNotThrow(() => copy.addEdge(n0, n1, 1)); + assert.doesNotThrow(() => copy.addEdge(n0, n1, 3)); + assert.doesNotThrow(() => copy.removeEdge(n0, n1, 1)); + assert.doesNotThrow(() => copy.removeEdge(n0, n1, 3)); + assert.doesNotThrow(() => copy.resizeNodes(10)); + assert.doesNotThrow(() => copy.resizeEdges(10)); + assert.doesNotThrow(() => copy.setEdge(3, n0, null)); + assert.doesNotThrow(() => copy.linkEdge(3, edge1, edge2)); + assert.doesNotThrow(() => copy.unlinkEdge(3, null, edge1, null)); + }); }); }); diff --git a/packages/core/core/test/integration/worker.js b/packages/core/core/test/integration/worker.js new file mode 100644 index 00000000000..bcef01e0cd4 --- /dev/null +++ b/packages/core/core/test/integration/worker.js @@ -0,0 +1,14 @@ +require('@parcel/babel-register'); +const {parentPort} = require('worker_threads'); +const {default: AdjacencyList} = require('../../src/AdjacencyList'); + +parentPort.once('message', (serialized) => { + let graph = AdjacencyList.deserialize(serialized); + serialized.nodes.forEach((v, i) => { + serialized.nodes[i] = v * 2; + }); + serialized.edges.forEach((v, i) => { + serialized.edges[i] = v * 2; + }); + parentPort.postMessage(graph.serialize()); +}); From 4ea37eb7d05f2f81658271d8e47da2a7129bacf3 Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 27 Jul 2021 20:11:34 -0700 Subject: [PATCH 090/117] Memoize edge indexes --- packages/core/core/src/AdjacencyList.js | 77 +++++++++++++------------ 1 file changed, 39 insertions(+), 38 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 45515477a05..8ad18de9383 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -152,6 +152,23 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; +function buildEdgeIndexes( + graph: AdjacencyList, +): DefaultMap { + let edgeIndexes = new DefaultMap(() => -1); + for (let from of graph.iterateNodes()) { + for (let edge of graph.iterateOutgoingEdges(from)) { + let key = JSON.stringify({ + from, + to: graph.getToNode(edge), + type: graph.getEdgeType(edge), + }); + edgeIndexes.set(key, hashToIndex(edge)); + } + } + return edgeIndexes; +} + /** Create mappings from => type => to and vice versa. */ function buildTypeMaps( graph: AdjacencyList, @@ -209,6 +226,7 @@ export default class AdjacencyList { /** A map of node ids to => through types => from node ids. */ to: DefaultMap>>, |}; + #edgeIndexes: DefaultMap; constructor( opts?: SerializedAdjacencyList | AdjacencyListOptions, @@ -262,16 +280,16 @@ export default class AdjacencyList { // We do this because deserialization happens from a shared buffer, // so mutation would be a bad idea. // $FlowFixMe[cannot-write] - Object.defineProperties(res, { - addEdge: readonlyDescriptor, - addNode: readonlyDescriptor, - linkEdge: readonlyDescriptor, - resizeNodes: readonlyDescriptor, - resizeEdges: readonlyDescriptor, - removeEdge: readonlyDescriptor, - setEdge: readonlyDescriptor, - unlinkEdge: readonlyDescriptor, - }); + // Object.defineProperties(res, { + // addEdge: readonlyDescriptor, + // addNode: readonlyDescriptor, + // linkEdge: readonlyDescriptor, + // resizeNodes: readonlyDescriptor, + // resizeEdges: readonlyDescriptor, + // removeEdge: readonlyDescriptor, + // setEdge: readonlyDescriptor, + // unlinkEdge: readonlyDescriptor, + // }); return res; } @@ -477,6 +495,7 @@ export default class AdjacencyList { this.#typeMaps = copy.#typeMaps; this.#previousIn = copy.#previousIn; this.#previousOut = copy.#previousOut; + this.#edgeIndexes = copy.#edgeIndexes; } /** Get the first or last edge to or from the given node. */ @@ -682,6 +701,9 @@ export default class AdjacencyList { .get(type) .add(from); + let key = JSON.stringify({from, to, type}); + this.#edgeIndexes?.set(key, index); + return true; } @@ -695,34 +717,10 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): number { - let index = hashToIndex(this.hash(from, to, type)); - // We want to avoid scanning the array forever, - // so keep track of where we start scanning from. - let startIndex = index; - let size = this.#edges.length; - // Since it is possible for multiple edges to have the same hash, - // we check that the edge at the index matching the hash is actually - // the edge we're looking for. If it's not, we scan forward in the - // edges array, assuming that the the edge we're looking for is close by. - while (this.#edges[index + TYPE]) { - if ( - this.#edges[index + FROM] === from && - this.#edges[index + TO] === to && - (type === ALL_EDGE_TYPES || this.#edges[index + TYPE] === type) - ) { - return index; - } else { - // The edge at at this index is not the edge we're looking for, - // so scan forward to the next edge, wrapping back to - // the beginning of the `edges` array if we overflow. - index = (index + EDGE_SIZE) % size; - - // We have scanned the whole array unsuccessfully. - if (index === startIndex) break; - } - } - - return -1; + let edgeIndexes = + this.#edgeIndexes || (this.#edgeIndexes = buildEdgeIndexes(this)); + let key = JSON.stringify({from, to, type}); + return edgeIndexes.get(key); } /** @@ -851,6 +849,9 @@ export default class AdjacencyList { .get(type) .delete(from); + let key = JSON.stringify({from, to, type}); + this.#edgeIndexes?.delete(key); + // Mark this slot as DELETED. // We do this so that clustered edges can still be found // by scanning forward in the array from the first index for From e5cf2de912123b90798390b0fb7c40a0a45343fa Mon Sep 17 00:00:00 2001 From: thebriando Date: Thu, 29 Jul 2021 14:38:07 -0700 Subject: [PATCH 091/117] Bookkeep empty/deleted edges for constant time lookup when we search for an available slot to add an edge to --- packages/core/core/src/AdjacencyList.js | 98 ++++++++++++++++++------- 1 file changed, 72 insertions(+), 26 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 8ad18de9383..e398319c915 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -4,6 +4,7 @@ import {DefaultMap} from '@parcel/utils'; import {fromNodeId, toNodeId} from './types'; import type {NullEdgeType, AllEdgeTypes} from './Graph'; import type {NodeId} from './types'; +import nullthrows from 'nullthrows'; /** * Each node is represented with 2 4-byte chunks: @@ -120,6 +121,10 @@ export function isDeleted(type: TEdgeType): boolean { return type === DELETED; } +export function isAvailable(type: TEdgeType): boolean { + return type === DELETED || type === 0; +} + export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; // eslint-disable-next-line no-unused-vars @@ -203,6 +208,44 @@ const readonlyDescriptor: PropertyDescriptor<(...args: any[]) => void> = { }, }; +class AvailableIndexes { + #indexList: Array; + #indexMap: Map; + + constructor() { + this.#indexList = []; + this.#indexMap = new Map(); + } + + add(value: number) { + if (this.#indexMap.get(value) !== undefined) { + return false; + } + this.#indexMap.set(value, this.#indexList.length); + this.#indexList.push(value); + return true; + } + + delete(value: number) { + if (this.#indexMap.get(value) === undefined) { + return false; + } + let last = this.#indexList[this.#indexList.length - 1]; + let index = nullthrows(this.#indexMap.get(value)); + this.#indexList[index] = last; + this.#indexMap.set(last, index); + this.#indexList.pop(); + this.#indexMap.delete(value); + return true; + } + + getRandomIndex(): number { + return this.#indexList[ + Math.floor(Math.random() * (this.#indexList.length - 1)) + ]; + } +} + export default class AdjacencyList { /** The number of nodes that can fit in the nodes array. */ #nodeCapacity: number; @@ -226,7 +269,13 @@ export default class AdjacencyList { /** A map of node ids to => through types => from node ids. */ to: DefaultMap>>, |}; + /** A map of edges to their index in the edge array */ #edgeIndexes: DefaultMap; + /** + * A set of available indexes in the edge array. + * An available index either has an empty slot or a deleted edge + */ + #availableIndexes: AvailableIndexes; constructor( opts?: SerializedAdjacencyList | AdjacencyListOptions, @@ -258,6 +307,17 @@ export default class AdjacencyList { this.#edges = edges; this.#previousIn = new Map(); this.#previousOut = new Map(); + this.#availableIndexes = this.buildAvailableIndexes(); + } + + buildAvailableIndexes(): AvailableIndexes { + let availableIndexes = new AvailableIndexes(); + for (let i = 0; i < this.#edges.length; i += EDGE_SIZE) { + if (isAvailable(this.#edges[i + TYPE])) { + availableIndexes.add(i); + } + } + return availableIndexes; } /** @@ -496,6 +556,7 @@ export default class AdjacencyList { this.#previousIn = copy.#previousIn; this.#previousOut = copy.#previousOut; this.#edgeIndexes = copy.#edgeIndexes; + this.#availableIndexes = copy.#availableIndexes; } /** Get the first or last edge to or from the given node. */ @@ -701,6 +762,8 @@ export default class AdjacencyList { .get(type) .add(from); + this.#availableIndexes.delete(index); + let key = JSON.stringify({from, to, type}); this.#edgeIndexes?.set(key, index); @@ -735,34 +798,15 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): number { + if (this.hasEdge(from, to, type)) { + return -1; + } let index = hashToIndex(this.hash(from, to, type)); - // we scan the `edges` array for the next empty slot after the `index`. - // We do this instead of simply using the `index` because it is possible - // for multiple edges to have the same hash. - let deletedEdge = 0; - let size = this.#edges.length; - while (this.#edges[index + TYPE]) { - // If the edge at this index was deleted, we can reuse the slot. - if (isDeleted(this.#edges[index + TYPE])) { - deletedEdge = index; - } else if ( - this.#edges[index + FROM] === from && - this.#edges[index + TO] === to && - // if type === ALL_EDGE_TYPES, return all edges - (type === ALL_EDGE_TYPES || this.#edges[index + TYPE] === type) - ) { - // If this edge is already in the graph, bail out. - return -1; - } - // There is already an edge at `hash`, - // so scan forward for the next open slot to use as the the `hash`. - // Note that each 'slot' is of size `EDGE_SIZE`. - // Also note that we handle overflow of `edges` by wrapping - // back to the beginning of the `edges` array. - index = (index + EDGE_SIZE) % size; + if (isAvailable(this.#edges[index + TYPE])) { + return index; + } else { + return this.#availableIndexes.getRandomIndex(); } - // If we find a deleted edge, use it. Otherwise, use the next empty edge - return deletedEdge ? deletedEdge : index; } *getAllEdges(): Iterator<{| @@ -849,6 +893,8 @@ export default class AdjacencyList { .get(type) .delete(from); + this.#availableIndexes.add(index); + let key = JSON.stringify({from, to, type}); this.#edgeIndexes?.delete(key); From e0cc334d98494cb666105d7e3a7bc51fa6f62e26 Mon Sep 17 00:00:00 2001 From: thebriando Date: Tue, 3 Aug 2021 12:49:36 -0700 Subject: [PATCH 092/117] Refactor hashing and index functions to use coalesced chaining Each edge now has a pointer to the next edge in the list of collisions indexFor will find an empty edge and update the last edge in the chain to point to the newly added edge indexOf will now only traverse through the list of edges with the same hash TODO: * reuse deleted edges * move NEXT_HASH pointer to another structure to save on memory * the cellar gets exhausted pretty quickly, look into increasing the amount of space the cellar occupies --- packages/core/core/src/AdjacencyList.js | 304 ++++++++++++++++-------- 1 file changed, 204 insertions(+), 100 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index e398319c915..c2b50fa4016 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -32,22 +32,24 @@ export const NODE_SIZE = 4; * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. * The third 4 bytes are the id of the 'to' node. - * The fourth 4 bytes are the hash of the 'to' node's next incoming edge. - * The fifth 4 bytes are the hash of the 'from' node's next outgoing edge. + * The fourth 4 bytes are the index of the next edge in the bucket of hash collisions. + * The fifth 4 bytes are the hash of the 'to' node's next incoming edge. + * The sixth 4 bytes are the hash of the 'from' node's next outgoing edge. * * struct Edge { * int type; * int from; * int to; + * int nextHash; * int nextIn; * int nextOut; * } * - * ┌────────────────────────────────────────────────────────────────┐ - * │ EDGE_SIZE │ - * ├────────────┬────────────┬────────────┬────────────┬────────────┤ - * │ TYPE │ FROM │ TO │ NEXT_IN │ NEXT_OUT │ - * └────────────┴────────────┴────────────┴────────────┴────────────┘ + * ┌─────────────────────────────────────────────────────────────────────────────┐ + * │ EDGE_SIZE │ + * ├────────────┬────────────┬────────────┬────────────┬────────────┬────────────┤ + * │ TYPE │ FROM │ TO │ NEXT_HASH │ NEXT_IN │ NEXT_OUT │ + * └────────────┴────────────┴────────────┴────────────┴────────────┴────────────┘ * * Nodes and Edges create a linked list of edges to and from each node. * @@ -79,7 +81,7 @@ export const NODE_SIZE = 4; * The incoming edges to `Node1` are similar, but starting from * `FirstIn(1)` and following the `NextIn()` links instead. */ -export const EDGE_SIZE = 5; +export const EDGE_SIZE = 6; /** The offset from an edge index at which the edge type is stored. */ const TYPE: 0 = 0; @@ -87,16 +89,18 @@ const TYPE: 0 = 0; const FROM: 1 = 1; /** The offset from an edge index at which the 'to' node id is stored. */ const TO: 2 = 2; +/** The offset from an edge index at which the next edge in the chain of hash collisions is stored*/ +const NEXT_HASH: 3 = 3; /** * The offset from an edge index at which the hash * of the 'to' node's next incoming edge is stored. */ -const NEXT_IN: 3 = 3; +const NEXT_IN: 4 = 4; /** * The offset from an edge index at which the hash * of the 'from' node's next outgoing edge is stored. */ -const NEXT_OUT: 4 = 4; +const NEXT_OUT: 5 = 5; /** The offset from a node index at which the hash of the first incoming edge is stored. */ const FIRST_IN: 0 = 0; @@ -106,6 +110,8 @@ const FIRST_OUT: 1 = 1; const LAST_IN: 2 = 2; /** The offset from a node index at which the hash of the last outgoing edge is stored. */ const LAST_OUT: 3 = 3; +/** The upper bound of the address space of the hash function */ +const ADDRESS_SPACE = 0.86; /** * A sentinel that indicates that an edge was deleted. @@ -133,8 +139,11 @@ export type SerializedAdjacencyList = {| edges: Uint32Array, numNodes: number, numEdges: number, + addressSpace: number, edgeCapacity: number, nodeCapacity: number, + nextEmptyEdge: number, + deletedEdges: Array, |}; export type AdjacencyListOptions = {| @@ -157,23 +166,6 @@ const nodeAt = (index: number): NodeId => /** Get the index in the nodes array of the given node. */ const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; -function buildEdgeIndexes( - graph: AdjacencyList, -): DefaultMap { - let edgeIndexes = new DefaultMap(() => -1); - for (let from of graph.iterateNodes()) { - for (let edge of graph.iterateOutgoingEdges(from)) { - let key = JSON.stringify({ - from, - to: graph.getToNode(edge), - type: graph.getEdgeType(edge), - }); - edgeIndexes.set(key, hashToIndex(edge)); - } - } - return edgeIndexes; -} - /** Create mappings from => type => to and vice versa. */ function buildTypeMaps( graph: AdjacencyList, @@ -199,6 +191,10 @@ function buildTypeMaps( return {from, to}; } +function getAddressSpace(edgeCapacity: number): number { + return Math.floor(edgeCapacity * EDGE_SIZE * ADDRESS_SPACE); +} + const readonlyDescriptor: PropertyDescriptor<(...args: any[]) => void> = { enumerable: true, configurable: false, @@ -208,45 +204,9 @@ const readonlyDescriptor: PropertyDescriptor<(...args: any[]) => void> = { }, }; -class AvailableIndexes { - #indexList: Array; - #indexMap: Map; - - constructor() { - this.#indexList = []; - this.#indexMap = new Map(); - } - - add(value: number) { - if (this.#indexMap.get(value) !== undefined) { - return false; - } - this.#indexMap.set(value, this.#indexList.length); - this.#indexList.push(value); - return true; - } - - delete(value: number) { - if (this.#indexMap.get(value) === undefined) { - return false; - } - let last = this.#indexList[this.#indexList.length - 1]; - let index = nullthrows(this.#indexMap.get(value)); - this.#indexList[index] = last; - this.#indexMap.set(last, index); - this.#indexList.pop(); - this.#indexMap.delete(value); - return true; - } - - getRandomIndex(): number { - return this.#indexList[ - Math.floor(Math.random() * (this.#indexList.length - 1)) - ]; - } -} - export default class AdjacencyList { + /** The upper bound of the addressable hash space */ + #addressSpace: number; /** The number of nodes that can fit in the nodes array. */ #nodeCapacity: number; /** The number of edges that can fit in the edges array. */ @@ -269,13 +229,10 @@ export default class AdjacencyList { /** A map of node ids to => through types => from node ids. */ to: DefaultMap>>, |}; - /** A map of edges to their index in the edge array */ - #edgeIndexes: DefaultMap; - /** - * A set of available indexes in the edge array. - * An available index either has an empty slot or a deleted edge - */ - #availableIndexes: AvailableIndexes; + /** The index of the next empty edge in the cellar */ + #nextEmptyEdge: number; + /** An array of deleted edge indexes to resuse */ + #deletedEdges: Array; constructor( opts?: SerializedAdjacencyList | AdjacencyListOptions, @@ -283,6 +240,7 @@ export default class AdjacencyList { let { nodeCapacity = 128, edgeCapacity = 256, + addressSpace = getAddressSpace(edgeCapacity), numNodes = 0, numEdges = 0, // $FlowFixMe[incompatible-call] @@ -299,6 +257,7 @@ export default class AdjacencyList { ), } = opts ?? {}; + this.#addressSpace = addressSpace; this.#nodeCapacity = nodeCapacity; this.#edgeCapacity = edgeCapacity; this.#numNodes = numNodes; @@ -307,17 +266,17 @@ export default class AdjacencyList { this.#edges = edges; this.#previousIn = new Map(); this.#previousOut = new Map(); - this.#availableIndexes = this.buildAvailableIndexes(); - } - - buildAvailableIndexes(): AvailableIndexes { - let availableIndexes = new AvailableIndexes(); - for (let i = 0; i < this.#edges.length; i += EDGE_SIZE) { - if (isAvailable(this.#edges[i + TYPE])) { - availableIndexes.add(i); + for ( + let i = this.#edges.length - EDGE_SIZE; + i >= this.#addressSpace; + i -= EDGE_SIZE + ) { + if (!this.#edges[i + TYPE]) { + this.#nextEmptyEdge = i; + break; } } - return availableIndexes; + this.#deletedEdges = []; } /** @@ -362,8 +321,11 @@ export default class AdjacencyList { edges: this.#edges, numNodes: this.#numNodes, numEdges: this.#numEdges, + addressSpace: this.#addressSpace, edgeCapacity: this.#edgeCapacity, nodeCapacity: this.#nodeCapacity, + nextEmptyEdge: this.#nextEmptyEdge, + deletedEdges: this.#deletedEdges, }; } @@ -391,12 +353,15 @@ export default class AdjacencyList { edges.set(this.#edges); return new AdjacencyList({ + addressSpace: this.#addressSpace, nodeCapacity: this.#nodeCapacity, edgeCapacity: this.#edgeCapacity, numNodes: this.#numNodes, numEdges: this.#numEdges, nodes, edges, + nextEmptyEdge: this.#nextEmptyEdge, + deletedEdges: this.#deletedEdges, }); } @@ -419,6 +384,8 @@ export default class AdjacencyList { maxCollisions: number, /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ uniformity: number, + /** The size of the collision cellar */ + cellarSize: number, |} { let buckets = new Map(); for (let {from, to, type} of this.getAllEdges()) { @@ -445,6 +412,8 @@ export default class AdjacencyList { ((this.#numEdges / (2 * this.#edgeCapacity)) * (this.#numEdges + 2 * this.#edgeCapacity - 1)); + let cellarSize = this.#edges.length - this.#addressSpace; + return { nodes: this.#numNodes, edges: this.#numEdges, @@ -455,6 +424,7 @@ export default class AdjacencyList { collisions, maxCollisions, uniformity, + cellarSize, }; } @@ -491,6 +461,16 @@ export default class AdjacencyList { return Boolean(type) && !isDeleted(type); } + /** Gets the original hash of the given edge */ + getHash(edge: EdgeHash): EdgeHash { + assert(this.edgeExists(edge)); + return this.hash( + this.getFromNode(edge), + this.getToNode(edge), + this.getEdgeType(edge), + ); + } + /** Get the type of the given edge. */ getEdgeType(edge: EdgeHash): TEdgeType { assert(this.edgeExists(edge)); @@ -552,11 +532,12 @@ export default class AdjacencyList { this.#nodes = copy.#nodes; this.#edges = copy.#edges; this.#edgeCapacity = size; + this.#addressSpace = copy.#addressSpace; this.#typeMaps = copy.#typeMaps; this.#previousIn = copy.#previousIn; this.#previousOut = copy.#previousOut; - this.#edgeIndexes = copy.#edgeIndexes; - this.#availableIndexes = copy.#availableIndexes; + this.#nextEmptyEdge = copy.#nextEmptyEdge; + this.#deletedEdges = copy.#deletedEdges; } /** Get the first or last edge to or from the given node. */ @@ -762,11 +743,6 @@ export default class AdjacencyList { .get(type) .add(from); - this.#availableIndexes.delete(index); - - let key = JSON.stringify({from, to, type}); - this.#edgeIndexes?.set(key, index); - return true; } @@ -779,11 +755,65 @@ export default class AdjacencyList { from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1, + test?: false, ): number { - let edgeIndexes = - this.#edgeIndexes || (this.#edgeIndexes = buildEdgeIndexes(this)); - let key = JSON.stringify({from, to, type}); - return edgeIndexes.get(key); + let hash = this.hash(from, to, type); + let index = hashToIndex(hash); + if (this.#edges[index + TYPE]) { + let nextHash = hash; + while (nextHash) { + let nextIndex = hashToIndex(nextHash); + if ( + this.#edges[nextIndex + FROM] === from && + this.#edges[nextIndex + TO] === to && + this.#edges[nextIndex + TYPE] === type + ) { + return nextIndex; + } + nextHash = this.#edges[nextIndex + NEXT_HASH]; + } + } + return -1; + } + + findEdge(from: number, to: number, type: number): number { + for (let i = 0; i < this.#edges.length; i += EDGE_SIZE) { + if ( + this.#edges[i + FROM] === from && + this.#edges[i + TO] === to && + this.#edges[i + TYPE] === type + ) { + return i; + } + } + return -1; + } + + edge( + index: number, + ): {| + hash: EdgeHash, + index: number, + from: NodeId, + to: NodeId, + type: TEdgeType | NullEdgeType, + nextHash: EdgeHash, + nextIn: EdgeHash, + nextOut: EdgeHash, + |} { + let from = toNodeId(this.#edges[index + FROM]); + let to = toNodeId(this.#edges[index + TO]); + let type = (this.#edges[index + TYPE]: any); + return { + hash: this.hash(from, to, type), + index, + from, + to, + type, + nextHash: this.#edges[index + NEXT_HASH], + nextIn: this.#edges[index + NEXT_IN], + nextOut: this.#edges[index + NEXT_OUT], + }; } /** @@ -801,11 +831,59 @@ export default class AdjacencyList { if (this.hasEdge(from, to, type)) { return -1; } - let index = hashToIndex(this.hash(from, to, type)); + let hash = this.hash(from, to, type); + let index = hashToIndex(hash); + + // If this slot is available, we can use it if (isAvailable(this.#edges[index + TYPE])) { return index; } else { - return this.#availableIndexes.getRandomIndex(); + let cursor = this.#nextEmptyEdge; + + // this doesn't work yet + // vvvvv + // If there's a deleted edge available, we can reuse it + // Otherwise, use the next empty edge + // if (this.#deletedEdges.length) { + // cursor = this.#deletedEdges.pop(); + // assert(isDeleted(this.#edges[cursor + TYPE])); + // } else { + // + // + + // If cellar is full, resize array and rehash + // We resize after exhausting the cellar to preserve constant time lookup + // when looking up an empty edge + if (!this.inCellar(cursor)) { + this.resizeEdges(this.#edgeCapacity * 2); + cursor = this.#nextEmptyEdge; + hash = this.hash(from, to, type); + index = hashToIndex(hash); + if (isAvailable(this.#edges[index + TYPE])) { + return index; + } + } + // Memoize the next empty edge for future use + this.#nextEmptyEdge = cursor - EDGE_SIZE; + // } + + // Ensure that the position at the cursor is not populated by another edge + assert( + isAvailable(this.#edges[cursor + TYPE]), + `Edge at ${cursor} is not available`, + ); + // Find the last node in the collision chain and point it to the current edge + let nextHash = this.#edges[index + NEXT_HASH]; + let lastHash = hash; + while (nextHash) { + lastHash = nextHash; + nextHash = this.#edges[hashToIndex(lastHash) + NEXT_HASH]; + } + + this.#edges[hashToIndex(lastHash) + NEXT_HASH] = indexToHash(cursor); + assert(this.edge(hashToIndex(lastHash)).hash === hash); + + return cursor; } } @@ -893,11 +971,6 @@ export default class AdjacencyList { .get(type) .delete(from); - this.#availableIndexes.add(index); - - let key = JSON.stringify({from, to, type}); - this.#edgeIndexes?.delete(key); - // Mark this slot as DELETED. // We do this so that clustered edges can still be found // by scanning forward in the array from the first index for @@ -908,9 +981,38 @@ export default class AdjacencyList { this.#edges[index + NEXT_IN] = 0; this.#edges[index + NEXT_OUT] = 0; + // If we're deleting an edge in the cellar, add it to the list of deleted edges + // so we can reuse it + if (this.inCellar(index)) { + this.#deletedEdges.push(index); + } + + // Change the pointer of the previous edge in the collision chain to point + // to the next edge of the removed edge + let hash = this.hash(from, to, type); + let prevHash = hash; + while (hashToIndex(hash) !== index) { + prevHash = hash; + hash = this.#edges[hashToIndex(hash) + NEXT_HASH]; + } + + if (prevHash) { + this.#edges[hashToIndex(prevHash) + NEXT_HASH] = this.#edges[ + index + NEXT_HASH + ]; + } + this.#numEdges--; } + get edges(): Uint32Array { + return this.#edges; + } + + inCellar(index: number): boolean { + return index >= this.#addressSpace; + } + hasInboundEdges(to: NodeId): boolean { return Boolean(this.getEdge(FIRST_IN, to)); } @@ -1048,10 +1150,12 @@ export default class AdjacencyList { // $FlowFixMe[unsafe-addition] // $FlowFixMe[incompatible-type] let hash = '' + from + to + type - 0; - // 2. Map the hash to a value modulo the edge capacity. + // 2. Map the hash to a value modulo the address space. hash %= this.#edgeCapacity; + hash = Math.floor(hash * ADDRESS_SPACE); // 3. Multiply by EDGE_SIZE to select a valid index. hash *= EDGE_SIZE; + assert(!this.inCellar(hash)); // 4. Add 1 to guarantee a truthy result. return hash + 1; } From e85fc92ea85dcd9daad50e2a6961f616329bb750 Mon Sep 17 00:00:00 2001 From: thebriando Date: Thu, 5 Aug 2021 11:28:28 -0700 Subject: [PATCH 093/117] Change NullEdgeType to 1 --- packages/core/core/src/BundleGraph.js | 10 ++++----- packages/core/core/src/ContentGraph.js | 4 ++-- packages/core/core/src/Graph.js | 28 ++++++++++++------------ packages/core/core/src/RequestTracker.js | 12 +++++----- 4 files changed, 27 insertions(+), 27 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index b6b04e43ecf..ab5a129f823 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -39,13 +39,13 @@ import {fromProjectPath} from './projectPath'; export const bundleGraphEdgeTypes = { // A lack of an edge type indicates to follow the edge while traversing // the bundle's contents, e.g. `bundle.traverse()` during packaging. - null: 0, + null: 1, // Used for constant-time checks of presence of a dependency or asset in a bundle, // avoiding bundle traversal in cases like `isAssetInAncestors` - contains: 1, + contains: 2, // Connections between bundles and bundle groups, for quick traversal of the // bundle hierarchy. - bundle: 2, + bundle: 3, // When dependency -> asset: Indicates that the asset a dependency references // is contained in another bundle. // When dependency -> bundle: Indicates the bundle is necessary for any bundles @@ -55,10 +55,10 @@ export const bundleGraphEdgeTypes = { // This type prevents referenced assets from being traversed from dependencies // along the untyped edge, and enables traversal to referenced bundles that are // not directly connected to bundle group nodes. - references: 3, + references: 4, // Signals that the dependency is internally resolvable via the bundle's ancestry, // and that the bundle connected to the dependency is not necessary for the source bundle. - internal_async: 4, + internal_async: 5, }; type BundleGraphEdgeType = $Values; diff --git a/packages/core/core/src/ContentGraph.js b/packages/core/core/src/ContentGraph.js index 44ecc2e9d68..e43da92cddc 100644 --- a/packages/core/core/src/ContentGraph.js +++ b/packages/core/core/src/ContentGraph.js @@ -4,13 +4,13 @@ import type {ContentKey, NodeId} from './types'; import Graph, {type GraphOpts} from './Graph'; import nullthrows from 'nullthrows'; -export type SerializedContentGraph = {| +export type SerializedContentGraph = {| ...GraphOpts, _contentKeyToNodeId: Map, _nodeIdToContentKey: Map, |}; -export default class ContentGraph extends Graph< +export default class ContentGraph extends Graph< TNode, TEdgeType, > { diff --git a/packages/core/core/src/Graph.js b/packages/core/core/src/Graph.js index aa2487c3ee7..d68ced59065 100644 --- a/packages/core/core/src/Graph.js +++ b/packages/core/core/src/Graph.js @@ -7,8 +7,8 @@ import type {TraversalActions, GraphVisitor} from '@parcel/types'; import assert from 'assert'; import nullthrows from 'nullthrows'; -type NullEdgeType = 0; -export type GraphOpts = {| +type NullEdgeType = 1; +export type GraphOpts = {| nodes?: Map, edges?: AdjacencyListMap, rootNodeId?: ?NodeId, @@ -17,12 +17,12 @@ export type GraphOpts = {| export const ALL_EDGE_TYPES = '@@all_edge_types'; -export default class Graph { +export default class Graph { nodes: Map; inboundEdges: AdjacencyList; outboundEdges: AdjacencyList; rootNodeId: ?NodeId; - nextNodeId: number = 0; + nextNodeId: number = 1; constructor(opts: ?GraphOpts) { this.nodes = opts?.nodes || new Map(); @@ -98,7 +98,7 @@ export default class Graph { return this.nodes.get(id); } - addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 0): void { + addEdge(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1): void { if (!this.getNode(from)) { throw new Error(`"from" node '${fromNodeId(from)}' not found`); } @@ -114,14 +114,14 @@ export default class Graph { hasEdge( from: NodeId, to: NodeId, - type?: TEdgeType | NullEdgeType = 0, + type?: TEdgeType | NullEdgeType = 1, ): boolean { return this.outboundEdges.hasEdge(from, to, type); } getNodeIdsConnectedTo( nodeId: NodeId, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): Array { this._assertHasNodeId(nodeId); @@ -154,7 +154,7 @@ export default class Graph { getNodeIdsConnectedFrom( nodeId: NodeId, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): Array { this._assertHasNodeId(nodeId); let outboundByType = this.outboundEdges.getEdgesByType(nodeId); @@ -211,7 +211,7 @@ export default class Graph { assert(wasRemoved); } - removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 0) { + removeEdges(nodeId: NodeId, type: TEdgeType | NullEdgeType = 1) { this._assertHasNodeId(nodeId); for (let to of this.outboundEdges.getEdges(nodeId, type)) { @@ -223,7 +223,7 @@ export default class Graph { removeEdge( from: NodeId, to: NodeId, - type: TEdgeType | NullEdgeType = 0, + type: TEdgeType | NullEdgeType = 1, removeOrphans: boolean = true, ) { if (!this.outboundEdges.hasEdge(from, to, type)) { @@ -295,7 +295,7 @@ export default class Graph { replaceNode( fromNodeId: NodeId, toNodeId: NodeId, - type: TEdgeType | NullEdgeType = 0, + type: TEdgeType | NullEdgeType = 1, ): void { this._assertHasNodeId(fromNodeId); for (let parent of this.inboundEdges.getEdges(fromNodeId, type)) { @@ -310,7 +310,7 @@ export default class Graph { fromNodeId: NodeId, toNodeIds: $ReadOnlyArray, replaceFilter?: null | (NodeId => boolean), - type?: TEdgeType | NullEdgeType = 0, + type?: TEdgeType | NullEdgeType = 1, ): void { this._assertHasNodeId(fromNodeId); @@ -336,7 +336,7 @@ export default class Graph { traverse( visit: GraphVisitor, startNodeId: ?NodeId, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): ?TContext { return this.dfs({ visit, @@ -357,7 +357,7 @@ export default class Graph { traverseAncestors( startNodeId: ?NodeId, visit: GraphVisitor, - type: TEdgeType | NullEdgeType | Array = 0, + type: TEdgeType | NullEdgeType | Array = 1, ): ?TContext { return this.dfs({ visit, diff --git a/packages/core/core/src/RequestTracker.js b/packages/core/core/src/RequestTracker.js index f0be777d813..de5e8c126c0 100644 --- a/packages/core/core/src/RequestTracker.js +++ b/packages/core/core/src/RequestTracker.js @@ -47,12 +47,12 @@ import { } from './constants'; export const requestGraphEdgeTypes = { - subrequest: 1, - invalidated_by_update: 2, - invalidated_by_delete: 3, - invalidated_by_create: 4, - invalidated_by_create_above: 5, - dirname: 6, + subrequest: 2, + invalidated_by_update: 3, + invalidated_by_delete: 4, + invalidated_by_create: 5, + invalidated_by_create_above: 6, + dirname: 7, }; type RequestGraphEdgeType = $Values; From 89b11aab184af7fdae5501f1760b680eea7e0ad7 Mon Sep 17 00:00:00 2001 From: thebriando Date: Thu, 5 Aug 2021 14:54:12 -0700 Subject: [PATCH 094/117] Reuse deleted edges when searching for usable edges --- packages/core/core/src/AdjacencyList.js | 132 +++++++++++++++--------- 1 file changed, 81 insertions(+), 51 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index c2b50fa4016..c7b1336f05b 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -127,10 +127,6 @@ export function isDeleted(type: TEdgeType): boolean { return type === DELETED; } -export function isAvailable(type: TEdgeType): boolean { - return type === DELETED || type === 0; -} - export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; // eslint-disable-next-line no-unused-vars @@ -231,7 +227,7 @@ export default class AdjacencyList { |}; /** The index of the next empty edge in the cellar */ #nextEmptyEdge: number; - /** An array of deleted edge indexes to resuse */ + /** An array of deleted edge indexes to reuse */ #deletedEdges: Array; constructor( @@ -742,7 +738,6 @@ export default class AdjacencyList { .get(to) .get(type) .add(from); - return true; } @@ -835,41 +830,37 @@ export default class AdjacencyList { let index = hashToIndex(hash); // If this slot is available, we can use it - if (isAvailable(this.#edges[index + TYPE])) { + if (!this.edgeExists(hash)) { + assert(!this.inCellar(index)); return index; } else { let cursor = this.#nextEmptyEdge; - // this doesn't work yet - // vvvvv // If there's a deleted edge available, we can reuse it // Otherwise, use the next empty edge - // if (this.#deletedEdges.length) { - // cursor = this.#deletedEdges.pop(); - // assert(isDeleted(this.#edges[cursor + TYPE])); - // } else { - // - // - - // If cellar is full, resize array and rehash - // We resize after exhausting the cellar to preserve constant time lookup - // when looking up an empty edge - if (!this.inCellar(cursor)) { - this.resizeEdges(this.#edgeCapacity * 2); - cursor = this.#nextEmptyEdge; - hash = this.hash(from, to, type); - index = hashToIndex(hash); - if (isAvailable(this.#edges[index + TYPE])) { - return index; + if (this.#deletedEdges.length) { + cursor = this.#deletedEdges.pop(); + assert(isDeleted(this.#edges[cursor + TYPE])); + } else { + // If cellar is full, resize array and rehash + // We resize after exhausting the cellar to preserve constant time lookup + // when looking up an empty edge + if (!this.inCellar(cursor)) { + this.resizeEdges(this.#edgeCapacity * 2); + cursor = this.#nextEmptyEdge; + hash = this.hash(from, to, type); + index = hashToIndex(hash); + if (!this.edgeExists(hash)) { + return index; + } } + // Memoize the next empty edge for future use + this.#nextEmptyEdge = cursor - EDGE_SIZE; } - // Memoize the next empty edge for future use - this.#nextEmptyEdge = cursor - EDGE_SIZE; - // } // Ensure that the position at the cursor is not populated by another edge assert( - isAvailable(this.#edges[cursor + TYPE]), + !this.edgeExists(indexToHash(cursor)), `Edge at ${cursor} is not available`, ); // Find the last node in the collision chain and point it to the current edge @@ -882,7 +873,6 @@ export default class AdjacencyList { this.#edges[hashToIndex(lastHash) + NEXT_HASH] = indexToHash(cursor); assert(this.edge(hashToIndex(lastHash)).hash === hash); - return cursor; } } @@ -918,6 +908,7 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): void { + let hash = this.hash(from, to, type); let index = this.indexOf(from, to, type); if (index === -1) { // The edge is not in the graph; do nothing. @@ -981,27 +972,66 @@ export default class AdjacencyList { this.#edges[index + NEXT_IN] = 0; this.#edges[index + NEXT_OUT] = 0; - // If we're deleting an edge in the cellar, add it to the list of deleted edges - // so we can reuse it - if (this.inCellar(index)) { - this.#deletedEdges.push(index); - } + if (!this.inCellar(index)) { + let nextHash = this.#edges[index + NEXT_HASH]; + // If we're removing an edge in the addressable space, and it doesn't + // point to anything in the cellar, clear out the edge at the index + if (!nextHash) { + this.#edges[index + TYPE] = 0; + } else { + // If we're removing an edge in the addressable space, and it points to + // an edge in the cellar, swap the edges so that the slot in the + // addressable space is occupied + let edge = this.edge(hashToIndex(hash)); + let nextIndex = hashToIndex(nextHash); + let nextEdge = this.edge(nextIndex); + + // Replace the edge in the addressable space with the edge from the cellar + this.#edges[index + FROM] = fromNodeId(nextEdge.from); + this.#edges[index + TO] = fromNodeId(nextEdge.to); + this.#edges[index + TYPE] = nextEdge.type; + this.#edges[index + NEXT_HASH] = nextEdge.nextHash; + this.#edges[index + NEXT_IN] = nextEdge.nextIn; + this.#edges[index + NEXT_OUT] = nextEdge.nextOut; + + assert(this.inCellar(nextIndex), 'Next edge not in cellar'); + // Remove the edge in the cellar + this.#edges[nextIndex + FROM] = 0; + this.#edges[nextIndex + TO] = 0; + this.#edges[nextIndex + TYPE] = DELETED; + this.#edges[nextIndex + NEXT_HASH] = 0; + this.#edges[nextIndex + NEXT_IN] = 0; + this.#edges[nextIndex + NEXT_OUT] = 0; + + // Add the deleted slot in the cellar to the stack of deleted edges + this.#deletedEdges.push(nextIndex); + // The bucket hash in the addressable space should always be populated + assert(this.edgeExists(hash)); + } + } else { + // If we're not removing the edge in the cellar, + // Change the pointer of the previous edge in the collision chain to point + // to the next edge of the removed edge + let prevHash = hash; + // The bucket hash in the addressable space should always be populated + assert(this.edgeExists(hash)); + while (hashToIndex(hash) !== index) { + prevHash = hash; + hash = this.#edges[hashToIndex(hash) + NEXT_HASH]; + } - // Change the pointer of the previous edge in the collision chain to point - // to the next edge of the removed edge - let hash = this.hash(from, to, type); - let prevHash = hash; - while (hashToIndex(hash) !== index) { - prevHash = hash; - hash = this.#edges[hashToIndex(hash) + NEXT_HASH]; - } + if (prevHash) { + this.#edges[hashToIndex(prevHash) + NEXT_HASH] = this.#edges[ + index + NEXT_HASH + ]; + } - if (prevHash) { - this.#edges[hashToIndex(prevHash) + NEXT_HASH] = this.#edges[ - index + NEXT_HASH - ]; - } + this.#edges[index + NEXT_HASH] = 0; + // If we're deleting an edge in the cellar, add it to the list of deleted edges + // so we can reuse it + this.#deletedEdges.push(index); + } this.#numEdges--; } @@ -1151,10 +1181,10 @@ export default class AdjacencyList { // $FlowFixMe[incompatible-type] let hash = '' + from + to + type - 0; // 2. Map the hash to a value modulo the address space. - hash %= this.#edgeCapacity; - hash = Math.floor(hash * ADDRESS_SPACE); + hash %= Math.floor(this.#edgeCapacity * ADDRESS_SPACE); // 3. Multiply by EDGE_SIZE to select a valid index. hash *= EDGE_SIZE; + assert(!this.inCellar(hash)); // 4. Add 1 to guarantee a truthy result. return hash + 1; From 71514294311f5c72fc01bf4c6996375615e46601 Mon Sep 17 00:00:00 2001 From: thebriando Date: Fri, 6 Aug 2021 15:36:15 -0700 Subject: [PATCH 095/117] Keep NEXT_HASH reference when removing edges in the adressable space that point to edges in the cellar --- packages/core/core/src/AdjacencyList.js | 38 ++----------------------- 1 file changed, 3 insertions(+), 35 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index c7b1336f05b..0ac34bb12af 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -738,6 +738,7 @@ export default class AdjacencyList { .get(to) .get(type) .add(from); + return true; } @@ -831,7 +832,6 @@ export default class AdjacencyList { // If this slot is available, we can use it if (!this.edgeExists(hash)) { - assert(!this.inCellar(index)); return index; } else { let cursor = this.#nextEmptyEdge; @@ -973,48 +973,16 @@ export default class AdjacencyList { this.#edges[index + NEXT_OUT] = 0; if (!this.inCellar(index)) { - let nextHash = this.#edges[index + NEXT_HASH]; // If we're removing an edge in the addressable space, and it doesn't // point to anything in the cellar, clear out the edge at the index - if (!nextHash) { + if (!this.#edges[index + NEXT_HASH]) { this.#edges[index + TYPE] = 0; - } else { - // If we're removing an edge in the addressable space, and it points to - // an edge in the cellar, swap the edges so that the slot in the - // addressable space is occupied - let edge = this.edge(hashToIndex(hash)); - let nextIndex = hashToIndex(nextHash); - let nextEdge = this.edge(nextIndex); - - // Replace the edge in the addressable space with the edge from the cellar - this.#edges[index + FROM] = fromNodeId(nextEdge.from); - this.#edges[index + TO] = fromNodeId(nextEdge.to); - this.#edges[index + TYPE] = nextEdge.type; - this.#edges[index + NEXT_HASH] = nextEdge.nextHash; - this.#edges[index + NEXT_IN] = nextEdge.nextIn; - this.#edges[index + NEXT_OUT] = nextEdge.nextOut; - - assert(this.inCellar(nextIndex), 'Next edge not in cellar'); - // Remove the edge in the cellar - this.#edges[nextIndex + FROM] = 0; - this.#edges[nextIndex + TO] = 0; - this.#edges[nextIndex + TYPE] = DELETED; - this.#edges[nextIndex + NEXT_HASH] = 0; - this.#edges[nextIndex + NEXT_IN] = 0; - this.#edges[nextIndex + NEXT_OUT] = 0; - - // Add the deleted slot in the cellar to the stack of deleted edges - this.#deletedEdges.push(nextIndex); - // The bucket hash in the addressable space should always be populated - assert(this.edgeExists(hash)); } } else { - // If we're not removing the edge in the cellar, + // If we're removing an edge in the cellar, // Change the pointer of the previous edge in the collision chain to point // to the next edge of the removed edge let prevHash = hash; - // The bucket hash in the addressable space should always be populated - assert(this.edgeExists(hash)); while (hashToIndex(hash) !== index) { prevHash = hash; hash = this.#edges[hashToIndex(hash) + NEXT_HASH]; From 182b02732a9fe2e143495fcbe55f5265697a008d Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 28 Jul 2021 11:45:01 -0400 Subject: [PATCH 096/117] Implement a close addressed hash table Also added a header sequence to the arrays, which eliminates the need to serialize other data separately from the arrays. --- packages/core/core/src/AdjacencyList.js | 1016 ++++++++--------- packages/core/core/test/AdjacencyList.test.js | 86 +- 2 files changed, 488 insertions(+), 614 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 0ac34bb12af..87e60222396 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -1,12 +1,38 @@ // @flow import assert from 'assert'; -import {DefaultMap} from '@parcel/utils'; import {fromNodeId, toNodeId} from './types'; import type {NullEdgeType, AllEdgeTypes} from './Graph'; import type {NodeId} from './types'; -import nullthrows from 'nullthrows'; /** + * Nodes are stored in a shared array buffer of fixed length + * equal to the node `capacity * NODE_SIZE + NODES_HEADER_SIZE`. + * + * nodes + * (capacity * NODE_SIZE) + * ┌────────────────┴──────────────┐ + * ┌──┬──┬──┬──┬──┬──┬───────┬──┬──┬──┬──┐ + * │ │ │ │ │ │ │ ... │ │ │ │ │ + * └──┴──┴──┴──┴──┴──┴───────┴──┴──┴──┴──┘ + * └──┬──┘ └─────┬─────┘ + * header node + * (NODES_HEADER_SIZE) (NODE_SIZE) + * + * The header for the nodes array comprises 2 4-byte chunks: + * The first 4 bytes store the node capacity. + * The second 4 bytes store the number of nodes in the adjacency list. + + * struct NodesHeader { + * int capacity; + * int count; + * } + * + * ┌────────────────────────┐ + * │ NODES_HEADER_SIZE │ + * ├────────────┬───────────┤ + * │ CAPACITY │ COUNT │ + * └────────────┴───────────┘ + * * Each node is represented with 2 4-byte chunks: * The first 4 bytes are the hash of the node's first incoming edge. * The second 4 bytes are the hash of the node's first outgoing edge. @@ -26,8 +52,41 @@ import nullthrows from 'nullthrows'; * │ FIRST_IN │ FIRST_OUT │ LAST_IN │ LAST_OUT │ * └────────────┴───────────┘───────────┴────────────┘ */ -export const NODE_SIZE = 4; +export const NODE_SIZE: 4 = 4; +/** The size of nodes array header */ +const NODES_HEADER_SIZE: 2 = 2; + /** + * Edges are stored in a shared array buffer of fixed length + * equal to the edge `capacity + capacity * EDGE_SIZE + EDGES_HEADER_SIZE`. + * + * hash table edge + * (capacity) (EDGE_SIZE) + * ┌──────┴──────┐ ┌────────┴────────┐ + * ┌──┬──┬──┬──┬───────┬──┬──┬──┬──┬──┬──┬──┬───────┬──┬──┬──┬──┬──┬──┐ + * │ │ │ │ │ ... │ │ │ │ │ │ │ │ ... │ │ │ │ │ │ │ + * └──┴──┴──┴──┴───────┴──┴──┴──┴──┴──┴──┴──┴───────┴──┴──┴──┴──┴──┴──┘ + * └───┬────┘ ├─────────────────────┬─────────────────────┘ + * header addressableLimit edges + * (EDGES_HEADER_SIZE) (capacity * EDGE_SIZE) + * + * The header for the edges array comprises 3 4-byte chunks: + * The first 4 bytes store the edge capacity. + * The second 4 bytes store the number of edges in the adjacency list. + * The third 4 bytes store the number of deleted edges. + * + * struct NodesHeader { + * int capacity; + * int count; + * int deletes; + * } + * + * ┌────────────────────────────────────┐ + * │ EDGES_HEADER_SIZE │ + * ├────────────┬───────────┬───────────┤ + * │ CAPACITY │ COUNT │ DELETES │ + * └────────────┴───────────┴───────────┘ + * * Each edge is represented with 5 4-byte chunks: * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. @@ -81,7 +140,16 @@ export const NODE_SIZE = 4; * The incoming edges to `Node1` are similar, but starting from * `FirstIn(1)` and following the `NextIn()` links instead. */ -export const EDGE_SIZE = 6; +export const EDGE_SIZE: 6 = 6; +/** The size of the edges array header */ +const EDGES_HEADER_SIZE: 3 = 3; + +/** The offset from the header where the capacity is stored. */ +const CAPACITY: 0 = 0; +/** The offset from the header where the count is stored. */ +const COUNT: 1 = 1; +/** The offset from the header where the delete count is stored. */ +const DELETES: 2 = 2; /** The offset from an edge index at which the edge type is stored. */ const TYPE: 0 = 0; @@ -110,8 +178,15 @@ const FIRST_OUT: 1 = 1; const LAST_IN: 2 = 2; /** The offset from a node index at which the hash of the last outgoing edge is stored. */ const LAST_OUT: 3 = 3; -/** The upper bound of the address space of the hash function */ -const ADDRESS_SPACE = 0.86; + +/** The upper bound above which the edge capacity should be increased. */ +const LOAD_FACTOR = 0.7; +/** The lower bound below which the edge capacity should be decreased. */ +const UNLOAD_FACTOR = 0.3; +/** The smallest functional node or edge capacity. */ +const MIN_CAPACITY = 256; +/** How many edges to accommodate in a hash bucket. */ +const BUCKET_SIZE = 2; /** * A sentinel that indicates that an edge was deleted. @@ -133,15 +208,9 @@ export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; export type SerializedAdjacencyList = {| nodes: Uint32Array, edges: Uint32Array, - numNodes: number, - numEdges: number, - addressSpace: number, - edgeCapacity: number, - nodeCapacity: number, - nextEmptyEdge: number, - deletedEdges: Array, |}; +// eslint-disable-next-line no-unused-vars export type AdjacencyListOptions = {| edgeCapacity?: number, nodeCapacity?: number, @@ -149,163 +218,126 @@ export type AdjacencyListOptions = {| opaque type EdgeHash = number; -/** Get the hash of the edge at the given index in the edges array. */ -const indexToHash = (index: number): EdgeHash => index + 1; +/** The index of the edge in the edges array. */ +opaque type EdgeIndex = number; + +// From https://gist.github.com/badboy/6267743#32-bit-mix-functions +function hash32shift(key: number): number { + key = ~key + (key << 15); // key = (key << 15) - key - 1; + key = key ^ (key >> 12); + key = key + (key << 2); + key = key ^ (key >> 4); + key = key * 2057; // key = (key + (key << 3)) + (key << 11); + key = key ^ (key >> 16); + return key; +} -/** Get the index in the edges array of the given edge. */ -const hashToIndex = (hash: EdgeHash) => Math.max(0, hash - 1); +/** Get the index in the hash table for the given hash. */ +function hashToIndex(hash: EdgeHash) { + return hash + EDGES_HEADER_SIZE; +} /** Get the id of the node at the given index in the nodes array. */ -const nodeAt = (index: number): NodeId => - toNodeId((index - (index % NODE_SIZE)) / NODE_SIZE); +function nodeAt(index: number): NodeId { + index -= NODES_HEADER_SIZE; + return toNodeId((index - (index % NODE_SIZE)) / NODE_SIZE); +} /** Get the index in the nodes array of the given node. */ -const indexOfNode = (id: NodeId): number => fromNodeId(id) * NODE_SIZE; - -/** Create mappings from => type => to and vice versa. */ -function buildTypeMaps( - graph: AdjacencyList, -): {| - from: DefaultMap>>, - to: DefaultMap>>, -|} { - let from = new DefaultMap(() => new DefaultMap(() => new Set())); - let to = new DefaultMap(() => new DefaultMap(() => new Set())); - for (let node of graph.iterateNodes()) { - for (let edge of graph.iterateOutgoingEdges(node)) { - from - .get(node) - .get(graph.getEdgeType(edge)) - .add(graph.getToNode(edge)); - } - for (let edge of graph.iterateIncomingEdges(node)) { - to.get(node) - .get(graph.getEdgeType(edge)) - .add(graph.getFromNode(edge)); - } - } - return {from, to}; +function indexOfNode(id: NodeId): number { + return NODES_HEADER_SIZE + fromNodeId(id) * NODE_SIZE; +} + +function getAddressableLimit(edgeCapacity: number): number { + return EDGES_HEADER_SIZE + edgeCapacity; } -function getAddressSpace(edgeCapacity: number): number { - return Math.floor(edgeCapacity * EDGE_SIZE * ADDRESS_SPACE); +function getEdgesLength(edgeCapacity: number): number { + return ( + getAddressableLimit(edgeCapacity) + edgeCapacity * EDGE_SIZE * BUCKET_SIZE + ); } -const readonlyDescriptor: PropertyDescriptor<(...args: any[]) => void> = { - enumerable: true, - configurable: false, - writable: false, - value: () => { - throw new Error('Deserialized AdjacencyList is readonly!'); - }, -}; +function getNodesLength(nodeCapacity: number): number { + return NODES_HEADER_SIZE + nodeCapacity * NODE_SIZE; +} + +function increaseNodeCapacity(nodeCapacity: number): number { + return nodeCapacity * 4; +} + +function increaseEdgeCapacity(edgeCapacity: number): number { + return edgeCapacity * 4; +} + +function decreaseEdgeCapacity(edgeCapacity: number): number { + return Math.max(0, Math.floor(edgeCapacity / 2)); +} export default class AdjacencyList { - /** The upper bound of the addressable hash space */ - #addressSpace: number; - /** The number of nodes that can fit in the nodes array. */ - #nodeCapacity: number; - /** The number of edges that can fit in the edges array. */ - #edgeCapacity: number; /** An array of nodes, with each node occupying `NODE_SIZE` adjacent indices. */ #nodes: Uint32Array; /** An array of edges, with each edge occupying `EDGE_SIZE` adjacent indices. */ #edges: Uint32Array; - /** The count of the number of nodes in the graph. */ - #numNodes: number; - /** The count of the number of edges in the graph. */ - #numEdges: number; - /** A map of edges to the previous incoming edge. */ - #previousIn: Map; - /** A map of edges to the previous outgoing edge. */ - #previousOut: Map; #typeMaps: ?{| /** A map of node ids from => through types => to node ids. */ - from: DefaultMap>>, + from: TypeMap, /** A map of node ids to => through types => from node ids. */ - to: DefaultMap>>, + to: TypeMap, |}; - /** The index of the next empty edge in the cellar */ - #nextEmptyEdge: number; - /** An array of deleted edge indexes to reuse */ - #deletedEdges: Array; constructor( opts?: SerializedAdjacencyList | AdjacencyListOptions, ) { - let { - nodeCapacity = 128, - edgeCapacity = 256, - addressSpace = getAddressSpace(edgeCapacity), - numNodes = 0, - numEdges = 0, + let nodes; + let edges; + + if (opts?.nodes) { + // We were given a serialized adjacency list, + // so we just do a quick check of the data integrity + // and then initialize the `AdjacencyList`. + ({nodes, edges} = opts); + assert( + getNodesLength(nodes[CAPACITY]) === nodes.length, + 'Node data appears corrupt.', + ); + + assert( + getEdgesLength(edges[CAPACITY]) === edges.length, + 'Edge data appears corrupt.', + ); + } else { + // We are creating a new `AdjacencyList` from scratch. + let {nodeCapacity = 128, edgeCapacity = 256} = opts ?? {}; + // $FlowFixMe[incompatible-call] nodes = new Uint32Array( new SharedArrayBuffer( - nodeCapacity * NODE_SIZE * Uint32Array.BYTES_PER_ELEMENT, + getNodesLength(nodeCapacity) * Uint32Array.BYTES_PER_ELEMENT, ), - ), + ); + nodes[CAPACITY] = nodeCapacity; + // $FlowFixMe[incompatible-call] edges = new Uint32Array( new SharedArrayBuffer( - edgeCapacity * EDGE_SIZE * Uint32Array.BYTES_PER_ELEMENT, + getEdgesLength(edgeCapacity) * Uint32Array.BYTES_PER_ELEMENT, ), - ), - } = opts ?? {}; + ); + edges[CAPACITY] = edgeCapacity; + } - this.#addressSpace = addressSpace; - this.#nodeCapacity = nodeCapacity; - this.#edgeCapacity = edgeCapacity; - this.#numNodes = numNodes; - this.#numEdges = numEdges; this.#nodes = nodes; this.#edges = edges; - this.#previousIn = new Map(); - this.#previousOut = new Map(); - for ( - let i = this.#edges.length - EDGE_SIZE; - i >= this.#addressSpace; - i -= EDGE_SIZE - ) { - if (!this.#edges[i + TYPE]) { - this.#nextEmptyEdge = i; - break; - } - } - this.#deletedEdges = []; } /** * Create a new `AdjacencyList` from the given options. - * - * Note that the returned AdjacencyList` will be readonly, - * as it simply provides a view onto the shared memory addresses - * of the serialized data. - * - * If a mutable `AdjacencyList` is required, - * use `AdjacencyList.deserialize(opts, true)` instead. */ static deserialize( opts: SerializedAdjacencyList, - mutable?: boolean, ): AdjacencyList { - let res = new AdjacencyList(opts); - if (mutable) return res.clone(); - // Make the new instance readonly. - // We do this because deserialization happens from a shared buffer, - // so mutation would be a bad idea. - // $FlowFixMe[cannot-write] - // Object.defineProperties(res, { - // addEdge: readonlyDescriptor, - // addNode: readonlyDescriptor, - // linkEdge: readonlyDescriptor, - // resizeNodes: readonlyDescriptor, - // resizeEdges: readonlyDescriptor, - // removeEdge: readonlyDescriptor, - // setEdge: readonlyDescriptor, - // unlinkEdge: readonlyDescriptor, - // }); - return res; + return new AdjacencyList(opts); } /** @@ -315,50 +347,11 @@ export default class AdjacencyList { return { nodes: this.#nodes, edges: this.#edges, - numNodes: this.#numNodes, - numEdges: this.#numEdges, - addressSpace: this.#addressSpace, - edgeCapacity: this.#edgeCapacity, - nodeCapacity: this.#nodeCapacity, - nextEmptyEdge: this.#nextEmptyEdge, - deletedEdges: this.#deletedEdges, }; } - /** - * Returns a clone of this graph. - * - * This differs from `AdjacenyList.deserialize()` - * in that the clone copies the underlying data to new memory addresses. - */ - clone(): AdjacencyList { - // $FlowFixMe[incompatible-call] - let nodes = new Uint32Array( - new SharedArrayBuffer( - this.#nodeCapacity * NODE_SIZE * Uint32Array.BYTES_PER_ELEMENT, - ), - ); - nodes.set(this.#nodes); - - // $FlowFixMe[incompatible-call] - let edges = new Uint32Array( - new SharedArrayBuffer( - this.#edgeCapacity * EDGE_SIZE * Uint32Array.BYTES_PER_ELEMENT, - ), - ); - edges.set(this.#edges); - - return new AdjacencyList({ - addressSpace: this.#addressSpace, - nodeCapacity: this.#nodeCapacity, - edgeCapacity: this.#edgeCapacity, - numNodes: this.#numNodes, - numEdges: this.#numEdges, - nodes, - edges, - nextEmptyEdge: this.#nextEmptyEdge, - deletedEdges: this.#deletedEdges, - }); + get addressableLimit(): number { + return getAddressableLimit(this.#edges[CAPACITY]); } get stats(): {| @@ -367,21 +360,23 @@ export default class AdjacencyList { /** The maximum number of nodes the graph can contain. */ nodeCapacity: number, /** The current load on the nodes array. */ - nodeLoad: number, + nodeLoad: string, /** The number of edges in the graph. */ edges: number, + /** The number of edges deleted from the graph. */ + deleted: number, /** The maximum number of edges the graph can contain. */ edgeCapacity: number, /** The current load on the edges array. */ - edgeLoad: number, + edgeLoad: string, /** The total number of edge hash collisions. */ collisions: number, /** The number of collisions for the most common hash. */ maxCollisions: number, + /** The average number of collisions per hash. */ + avgCollisions: number, /** The likelihood of uniform distribution. ~1.0 indicates certainty. */ uniformity: number, - /** The size of the collision cellar */ - cellarSize: number, |} { let buckets = new Map(); for (let {from, to, type} of this.getAllEdges()) { @@ -403,63 +398,88 @@ export default class AdjacencyList { distribution += (bucket.size * (bucket.size + 1)) / 2; } + let numNodes = this.#nodes[COUNT]; + let nodeCapacity = this.#nodes[CAPACITY]; + + let numEdges = this.#edges[COUNT]; + let numDeletedEdges = this.#edges[DELETES]; + let edgeCapacity = this.#edges[CAPACITY]; + let uniformity = distribution / - ((this.#numEdges / (2 * this.#edgeCapacity)) * - (this.#numEdges + 2 * this.#edgeCapacity - 1)); - - let cellarSize = this.#edges.length - this.#addressSpace; + ((numEdges / (2 * edgeCapacity)) * (numEdges + 2 * edgeCapacity - 1)); return { - nodes: this.#numNodes, - edges: this.#numEdges, - nodeCapacity: this.#nodeCapacity, - nodeLoad: this.#numNodes / this.#nodeCapacity, - edgeCapacity: this.#edgeCapacity, - edgeLoad: this.#numEdges / this.#edgeCapacity, + nodes: numNodes, + edges: numEdges, + deleted: numDeletedEdges, collisions, + nodeCapacity, + nodeLoad: `${Math.round((numNodes / nodeCapacity) * 100)}%`, + edgeCapacity: edgeCapacity * 2, + edgeLoad: `${Math.round((numEdges / (edgeCapacity * 2)) * 100)}%`, maxCollisions, - uniformity, - cellarSize, + avgCollisions: Math.round((collisions / buckets.size) * 100) / 100 || 0, + uniformity: Math.round(uniformity * 100) / 100 || 0, }; } + /** Create mappings from => type => to and vice versa. */ + _getOrCreateTypeMaps(): {| + from: TypeMap, + to: TypeMap, + |} { + if (this.#typeMaps) return this.#typeMaps; + let typeMaps = {from: new TypeMap(), to: new TypeMap()}; + for (let node of this.iterateNodes()) { + for (let edge of this.iterateOutgoingEdges(node)) { + let from = this.getFromNode(edge); + let to = this.getToNode(edge); + let type = this.getEdgeType(edge); + typeMaps.from.add(from, to, type); + typeMaps.to.add(to, from, type); + } + } + this.#typeMaps = typeMaps; + return this.#typeMaps; + } + /** Iterate over node ids in the `AdjacencyList`. */ - *iterateNodes(max: number = this.#numNodes): Iterator { + *iterateNodes(max: number = this.#nodes[COUNT]): Iterator { let count = 0; - for (let i = 0; i < this.#nodes.length; i += NODE_SIZE) { + let len = this.#nodes.length; + for (let i = NODES_HEADER_SIZE; i < len; i += NODE_SIZE) { if (count++ >= max) break; yield nodeAt(i); } } /** Iterate over outgoing edge hashes from the given `nodeId` the `AdjacencyList`. */ - *iterateOutgoingEdges(nodeId: NodeId): Iterator { - let hash = this.getEdge(FIRST_OUT, nodeId); - while (hash) { - yield hash; - hash = this.getLinkedEdge(NEXT_OUT, hash); + *iterateOutgoingEdges(nodeId: NodeId): Iterator { + let edge = this.getEdge(nodeId, FIRST_OUT); + while (edge) { + yield edge; + edge = this.getLinkedEdge(edge, NEXT_OUT); } } /** Iterate over incoming edge hashes to the given `nodeId` the `AdjacencyList`. */ - *iterateIncomingEdges(nodeId: NodeId): Iterator { - let hash = this.getEdge(FIRST_IN, nodeId); - while (hash) { - yield hash; - hash = this.getLinkedEdge(NEXT_IN, hash); + *iterateIncomingEdges(nodeId: NodeId): Iterator { + let edge = this.getEdge(nodeId, FIRST_IN); + while (edge) { + yield edge; + edge = this.getLinkedEdge(edge, NEXT_IN); } } /** Check that the edge exists in the `AdjacencyList`. */ - edgeExists(edge: EdgeHash): boolean { - let type = (this.#edges[hashToIndex(edge) + TYPE]: any); + edgeExists(edge: EdgeIndex): boolean { + let type = (this.#edges[edge + TYPE]: any); return Boolean(type) && !isDeleted(type); } /** Gets the original hash of the given edge */ - getHash(edge: EdgeHash): EdgeHash { - assert(this.edgeExists(edge)); + getHash(edge: EdgeIndex): EdgeHash { return this.hash( this.getFromNode(edge), this.getToNode(edge), @@ -468,21 +488,18 @@ export default class AdjacencyList { } /** Get the type of the given edge. */ - getEdgeType(edge: EdgeHash): TEdgeType { - assert(this.edgeExists(edge)); - return (this.#edges[hashToIndex(edge) + TYPE]: any); + getEdgeType(edge: EdgeIndex): TEdgeType { + return (this.#edges[edge + TYPE]: any); } /** Get the node id the given edge originates from */ - getFromNode(edge: EdgeHash): NodeId { - assert(this.edgeExists(edge)); - return toNodeId(this.#edges[hashToIndex(edge) + FROM]); + getFromNode(edge: EdgeIndex): NodeId { + return toNodeId(this.#edges[edge + FROM]); } /** Get the node id the given edge terminates to. */ - getToNode(edge: EdgeHash): NodeId { - assert(this.edgeExists(edge)); - return toNodeId(this.#edges[hashToIndex(edge) + TO]); + getToNode(edge: EdgeIndex): NodeId { + return toNodeId(this.#edges[edge + TO]); } /** @@ -496,11 +513,13 @@ export default class AdjacencyList { // Allocate the required space for a `nodes` array of the given `size`. // $FlowFixMe[incompatible-call] this.#nodes = new Uint32Array( - new SharedArrayBuffer(size * NODE_SIZE * Uint32Array.BYTES_PER_ELEMENT), + new SharedArrayBuffer( + getNodesLength(size) * Uint32Array.BYTES_PER_ELEMENT, + ), ); // Copy the existing nodes into the new array. this.#nodes.set(nodes); - this.#nodeCapacity = size; + this.#nodes[CAPACITY] = size; } /** @@ -512,133 +531,124 @@ export default class AdjacencyList { resizeEdges(size: number) { // Allocate the required space for new `nodes` and `edges` arrays. let copy = new AdjacencyList({ - nodeCapacity: this.#nodeCapacity, + nodeCapacity: this.#nodes[CAPACITY], edgeCapacity: size, }); - copy.#numNodes = this.#numNodes; + copy.#nodes[COUNT] = this.#nodes[COUNT]; - // For each node in the graph, copy the existing edges into the new array. - for (let from of this.iterateNodes()) { - for (let edge of this.iterateOutgoingEdges(from)) { - copy.addEdge(from, this.getToNode(edge), this.getEdgeType(edge)); + // Copy the existing edges into the new array. + let max = this.#nodes[COUNT]; + let count = 0; + let len = this.#nodes.length; + for (let i = NODES_HEADER_SIZE; i < len; i += NODE_SIZE) { + if (count++ >= max) break; + let edge = this.getEdge(nodeAt(i), FIRST_OUT); + while (edge) { + copy.addEdge( + this.getFromNode(edge), + this.getToNode(edge), + this.getEdgeType(edge), + ); + edge = this.getLinkedEdge(edge, NEXT_OUT); } } + // We expect to preserve the same number of edges. + assert( + this.#edges[COUNT] === copy.#edges[COUNT], + `Edge mismatch! ${this.#edges[COUNT]} does not match ${ + copy.#edges[COUNT] + }.`, + ); + // Finally, copy the new data arrays over to this graph. this.#nodes = copy.#nodes; this.#edges = copy.#edges; - this.#edgeCapacity = size; - this.#addressSpace = copy.#addressSpace; this.#typeMaps = copy.#typeMaps; - this.#previousIn = copy.#previousIn; - this.#previousOut = copy.#previousOut; - this.#nextEmptyEdge = copy.#nextEmptyEdge; - this.#deletedEdges = copy.#deletedEdges; } /** Get the first or last edge to or from the given node. */ getEdge( + node: NodeId, direction: | typeof FIRST_IN | typeof FIRST_OUT | typeof LAST_IN | typeof LAST_OUT, - node: NodeId, - ): EdgeHash | null { - let hash = this.#nodes[indexOfNode(node) + direction]; - return hash ? hash : null; + ): EdgeIndex | null { + let edge = this.#nodes[indexOfNode(node) + direction]; + return edge ? edge : null; } /** Set the first or last edge to or from the given node. */ setEdge( + node: NodeId, + edge: EdgeIndex | null, direction: | typeof FIRST_IN | typeof FIRST_OUT | typeof LAST_IN | typeof LAST_OUT, - node: NodeId, - edge: EdgeHash | null, ) { - let hash = edge ?? 0; - this.#nodes[indexOfNode(node) + direction] = hash; + this.#nodes[indexOfNode(node) + direction] = edge ?? 0; } - /** Insert the given `edge` after the `previous` edge. */ linkEdge( - direction: typeof NEXT_IN | typeof NEXT_OUT, - prev: EdgeHash, - edge: EdgeHash, + prev: EdgeHash | EdgeIndex, + edge: EdgeIndex, + direction?: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, ): void { - this.#edges[hashToIndex(prev) + direction] = edge; - if (direction === NEXT_IN) { - this.#previousIn.set(edge, prev); + if (direction) { + this.#edges[prev + direction] = edge; } else { - this.#previousOut.set(edge, prev); + this.#edges[hashToIndex(prev)] = edge; } } - /** Remove the given `edge` between `previous` and `next` edges. */ unlinkEdge( - direction: typeof NEXT_IN | typeof NEXT_OUT, - prev: EdgeHash | null, - edge: EdgeHash, - next: EdgeHash | null, + prev: EdgeHash | EdgeIndex, + direction?: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, ): void { - if (prev) this.#edges[hashToIndex(prev) + direction] = next ?? 0; - this.#edges[hashToIndex(edge) + direction] = 0; - - if (direction === NEXT_IN) { - this.#previousIn.delete(edge); - if (next) this.#previousIn.set(next, prev); + if (direction) { + this.#edges[prev + direction] = 0; } else { - this.#previousOut.delete(edge); - if (next) this.#previousOut.set(next, prev); + this.#edges[hashToIndex(prev)] = 0; } } - /** Get the edge linked to this edge in the given direction. */ + /** Get the edge this `edge` links to in the given direction. */ getLinkedEdge( - direction: typeof NEXT_IN | typeof NEXT_OUT, - edge: EdgeHash | null, - ): EdgeHash | null { - if (edge === null) return null; - return this.#edges[hashToIndex(edge) + direction]; + prev: EdgeHash | EdgeIndex | null, + direction?: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, + ): EdgeIndex | null { + if (prev === null) return null; + if (direction) { + return this.#edges[prev + direction] || null; + } else { + return this.#edges[hashToIndex(prev)] || null; + } } /** Find the edge linked to the given `edge`. */ findEdgeBefore( - direction: typeof NEXT_IN | typeof NEXT_OUT, - edge: EdgeHash, - ): EdgeHash | null { - let cached = - direction === NEXT_IN - ? this.#previousIn.get(edge) - : this.#previousOut.get(edge); - - if (cached || cached === null) return cached; - - let node = - direction === NEXT_IN ? this.getToNode(edge) : this.getFromNode(edge); - + edge: EdgeIndex, + direction: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, + ): EdgeIndex | null { let candidate = - direction === NEXT_IN - ? this.getEdge(FIRST_IN, node) - : this.getEdge(FIRST_OUT, node); - - if (edge === candidate) { - candidate = null; - } else { - while (candidate) { - if (candidate) { - let next = - direction === NEXT_IN - ? this.getLinkedEdge(NEXT_IN, candidate) - : this.getLinkedEdge(NEXT_OUT, candidate); - if (next === edge) return candidate; - candidate = next; - } - } + direction === NEXT_HASH + ? this.getLinkedEdge(this.getHash(edge)) + : direction === NEXT_IN + ? this.getEdge(this.getToNode(edge), FIRST_IN) + : this.getEdge(this.getFromNode(edge), FIRST_OUT); + + if (edge === candidate) return null; + + while (candidate) { + let next = this.getLinkedEdge(candidate, direction); + if (next === edge) return candidate; + candidate = next; } + return null; } @@ -648,15 +658,15 @@ export default class AdjacencyList { * Returns the id of the added node. */ addNode(): NodeId { - let id = this.#numNodes; - this.#numNodes++; + let id = this.#nodes[COUNT]; + this.#nodes[COUNT]++; // If we're in danger of overflowing the `nodes` array, resize it. - if (this.#numNodes >= this.#nodeCapacity) { + if (this.#nodes[COUNT] >= this.#nodes[CAPACITY]) { // The size of `nodes` doubles every time we reach the current capacity. // This means in the worst case, we will have `O(n - 1)` _extra_ // space allocated where `n` is a number nodes that is 1 more // than the previous capacity. - this.resizeNodes(this.#nodeCapacity * 2); + this.resizeNodes(increaseNodeCapacity(this.#nodes[CAPACITY])); } return toNodeId(id); } @@ -672,72 +682,73 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - if (fromNodeId(from) < 0 || fromNodeId(from) >= this.#numNodes) { + if (fromNodeId(from) < 0 || fromNodeId(from) >= this.#nodes[COUNT]) { throw new Error(`Unknown node ${String(from)}`); } - if (fromNodeId(to) < 0 || fromNodeId(to) >= this.#numNodes) { + if (fromNodeId(to) < 0 || fromNodeId(to) >= this.#nodes[COUNT]) { throw new Error(`Unknown node ${String(to)}`); } if (type <= 0) throw new Error(`Unsupported edge type ${0}`); - // The percentage of utilization of the total capacity of `edges`. - let load = (this.#numEdges + 1) / this.#edgeCapacity; + // The edge is already in the graph; do nothing. + if (this.hasEdge(from, to, type)) return false; + + let count = this.#edges[COUNT] + this.#edges[DELETES] + 1; // If we're in danger of overflowing the `edges` array, resize it. - if (load > 0.7) { + if (count / (this.#edges[CAPACITY] * BUCKET_SIZE) > LOAD_FACTOR) { // The size of `edges` doubles every time we reach the current capacity. // This means in the worst case, we will have `O(n - 1)` _extra_ // space allocated where `n` is a number edges that is 1 more // than the previous capacity. - this.resizeEdges(this.#edgeCapacity * 2); + this.resizeEdges(increaseEdgeCapacity(this.#edges[CAPACITY])); } - // We use the hash of the edge as the index for the edge. - let index = this.indexFor(from, to, type); + // Use the next available index as our new edge index. + let edge = this.getNextIndex(); - if (index === -1) { - // The edge is already in the graph; do nothing. - return false; - } + // Add our new edge to its hash bucket. + let hash = this.hash(from, to, type); + let prev = this.getLinkedEdge(hash); + if (prev) { + let next = this.getLinkedEdge(prev, NEXT_HASH); + while (next) { + prev = next; + next = this.getLinkedEdge(next, NEXT_HASH); + } - this.#numEdges++; + this.linkEdge(prev, edge, NEXT_HASH); + } else { + // This is the first edge in the bucket! + this.linkEdge(hash, edge); + } - this.#edges[index + TYPE] = type; - this.#edges[index + FROM] = fromNodeId(from); - this.#edges[index + TO] = fromNodeId(to); + this.#edges[edge + TYPE] = type; + this.#edges[edge + FROM] = fromNodeId(from); + this.#edges[edge + TO] = fromNodeId(to); - let edge = indexToHash(index); - let firstIncoming = this.getEdge(FIRST_IN, to); - let lastIncoming = this.getEdge(LAST_IN, to); - let firstOutgoing = this.getEdge(FIRST_OUT, from); - let lastOutgoing = this.getEdge(LAST_OUT, from); + let firstIncoming = this.getEdge(to, FIRST_IN); + let lastIncoming = this.getEdge(to, LAST_IN); + let firstOutgoing = this.getEdge(from, FIRST_OUT); + let lastOutgoing = this.getEdge(from, LAST_OUT); // If the `to` node has incoming edges, link the last edge to this one. - // from: lastIncoming => null - // to: lastIncoming => edge => null - if (lastIncoming) this.linkEdge(NEXT_IN, lastIncoming, edge); + if (lastIncoming) this.linkEdge(lastIncoming, edge, NEXT_IN); // Set this edge as the last incoming edge to the `to` node. - this.setEdge(LAST_IN, to, edge); + this.setEdge(to, edge, LAST_IN); // If the `to` node has no incoming edges, set this edge as the first one. - if (!firstIncoming) this.setEdge(FIRST_IN, to, edge); + if (!firstIncoming) this.setEdge(to, edge, FIRST_IN); // If the `from` node has outgoing edges, link the last edge to this one. - // from: lastOutgoing => null - // to: lastOutgoing => edge => null - if (lastOutgoing) this.linkEdge(NEXT_OUT, lastOutgoing, edge); + if (lastOutgoing) this.linkEdge(lastOutgoing, edge, NEXT_OUT); // Set this edge as the last outgoing edge from the `from` node. - this.setEdge(LAST_OUT, from, edge); + this.setEdge(from, edge, LAST_OUT); // If the `from` node has no outgoing edges, set this edge as the first one. - if (!firstOutgoing) this.setEdge(FIRST_OUT, from, edge); + if (!firstOutgoing) this.setEdge(from, edge, FIRST_OUT); - this.#typeMaps?.from - .get(from) - .get(type) - .add(to); + this.#edges[COUNT]++; - this.#typeMaps?.to - .get(to) - .get(type) - .add(from); + this.#typeMaps?.from.add(from, to, type); + this.#typeMaps?.to.add(to, from, type); return true; } @@ -751,130 +762,27 @@ export default class AdjacencyList { from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType = 1, - test?: false, - ): number { + ): EdgeIndex { let hash = this.hash(from, to, type); - let index = hashToIndex(hash); - if (this.#edges[index + TYPE]) { - let nextHash = hash; - while (nextHash) { - let nextIndex = hashToIndex(nextHash); - if ( - this.#edges[nextIndex + FROM] === from && - this.#edges[nextIndex + TO] === to && - this.#edges[nextIndex + TYPE] === type - ) { - return nextIndex; - } - nextHash = this.#edges[nextIndex + NEXT_HASH]; - } - } - return -1; - } - - findEdge(from: number, to: number, type: number): number { - for (let i = 0; i < this.#edges.length; i += EDGE_SIZE) { + let edge = this.getLinkedEdge(hash); + while (edge) { if ( - this.#edges[i + FROM] === from && - this.#edges[i + TO] === to && - this.#edges[i + TYPE] === type + this.getFromNode(edge) === from && + this.getToNode(edge) === to && + this.getEdgeType(edge) === type ) { - return i; + return edge; } + edge = this.getLinkedEdge(edge, NEXT_HASH); } return -1; } - edge( - index: number, - ): {| - hash: EdgeHash, - index: number, - from: NodeId, - to: NodeId, - type: TEdgeType | NullEdgeType, - nextHash: EdgeHash, - nextIn: EdgeHash, - nextOut: EdgeHash, - |} { - let from = toNodeId(this.#edges[index + FROM]); - let to = toNodeId(this.#edges[index + TO]); - let type = (this.#edges[index + TYPE]: any); - return { - hash: this.hash(from, to, type), - index, - from, - to, - type, - nextHash: this.#edges[index + NEXT_HASH], - nextIn: this.#edges[index + NEXT_IN], - nextOut: this.#edges[index + NEXT_OUT], - }; - } - - /** - * Get the index at which to add an edge connecting the `from` and `to` nodes. - * - * If an edge connecting `from` and `to` already exists, returns `-1`, - * otherwise, returns the index at which the edge should be added. - * - */ - indexFor( - from: NodeId, - to: NodeId, - type: TEdgeType | NullEdgeType = 1, - ): number { - if (this.hasEdge(from, to, type)) { - return -1; - } - let hash = this.hash(from, to, type); - let index = hashToIndex(hash); - - // If this slot is available, we can use it - if (!this.edgeExists(hash)) { - return index; - } else { - let cursor = this.#nextEmptyEdge; - - // If there's a deleted edge available, we can reuse it - // Otherwise, use the next empty edge - if (this.#deletedEdges.length) { - cursor = this.#deletedEdges.pop(); - assert(isDeleted(this.#edges[cursor + TYPE])); - } else { - // If cellar is full, resize array and rehash - // We resize after exhausting the cellar to preserve constant time lookup - // when looking up an empty edge - if (!this.inCellar(cursor)) { - this.resizeEdges(this.#edgeCapacity * 2); - cursor = this.#nextEmptyEdge; - hash = this.hash(from, to, type); - index = hashToIndex(hash); - if (!this.edgeExists(hash)) { - return index; - } - } - // Memoize the next empty edge for future use - this.#nextEmptyEdge = cursor - EDGE_SIZE; - } - - // Ensure that the position at the cursor is not populated by another edge - assert( - !this.edgeExists(indexToHash(cursor)), - `Edge at ${cursor} is not available`, - ); - // Find the last node in the collision chain and point it to the current edge - let nextHash = this.#edges[index + NEXT_HASH]; - let lastHash = hash; - while (nextHash) { - lastHash = nextHash; - nextHash = this.#edges[hashToIndex(lastHash) + NEXT_HASH]; - } - - this.#edges[hashToIndex(lastHash) + NEXT_HASH] = indexToHash(cursor); - assert(this.edge(hashToIndex(lastHash)).hash === hash); - return cursor; - } + /** Get the next available index in the edges array. */ + getNextIndex(): number { + let offset = (this.#edges[COUNT] + this.#edges[DELETES]) * EDGE_SIZE; + let index = this.addressableLimit + offset; + return index; } *getAllEdges(): Iterator<{| @@ -909,114 +817,97 @@ export default class AdjacencyList { type: TEdgeType | NullEdgeType = 1, ): void { let hash = this.hash(from, to, type); - let index = this.indexOf(from, to, type); - if (index === -1) { - // The edge is not in the graph; do nothing. - return; + let edge = this.getLinkedEdge(hash); + while (edge && this.edgeExists(edge)) { + if ( + this.getFromNode(edge) === from && + this.getToNode(edge) === to && + this.getEdgeType(edge) === type + ) { + break; + } + edge = this.getLinkedEdge(edge, NEXT_HASH); } - /** The removed edge. */ - let edge = indexToHash(index); + // The edge is not in the graph; do nothing. + if (!edge) return; + /** The first incoming edge to the removed edge's terminus. */ - let firstIn = this.getEdge(FIRST_IN, to); + let firstIn = this.getEdge(to, FIRST_IN); /** The last incoming edge to the removed edge's terminus. */ - let lastIn = this.getEdge(LAST_IN, to); + let lastIn = this.getEdge(to, LAST_IN); /** The next incoming edge after the removed edge. */ - let nextIn = this.getLinkedEdge(NEXT_IN, edge); + let nextIn = this.getLinkedEdge(edge, NEXT_IN); /** The previous incoming edge before the removed edge. */ - let previousIn = this.findEdgeBefore(NEXT_IN, edge); + let previousIn = this.findEdgeBefore(edge, NEXT_IN); /** The first outgoing edge from the removed edge's origin. */ - let firstOut = this.getEdge(FIRST_OUT, from); + let firstOut = this.getEdge(from, FIRST_OUT); /** The last outgoing edge from the removed edge's origin. */ - let lastOut = this.getEdge(LAST_OUT, from); + let lastOut = this.getEdge(from, LAST_OUT); /** The next outgoing edge after the removed edge. */ - let nextOut = this.getLinkedEdge(NEXT_OUT, edge); + let nextOut = this.getLinkedEdge(edge, NEXT_OUT); /** The previous outgoing edge before the removed edge. */ - let previousOut = this.findEdgeBefore(NEXT_OUT, edge); + let previousOut = this.findEdgeBefore(edge, NEXT_OUT); + /** The next edge in the bucket after the removed edge. */ + let nextEdge = this.getLinkedEdge(edge, NEXT_HASH); + /** The previous edge in the bucket before the removed edge. */ + let prevEdge = this.findEdgeBefore(edge, NEXT_HASH); + + // Splice the removed edge out of the linked list of edges in the bucket. + if (prevEdge && nextEdge) this.linkEdge(prevEdge, nextEdge, NEXT_HASH); + else if (prevEdge) this.unlinkEdge(prevEdge, NEXT_HASH); + else if (nextEdge) this.linkEdge(hash, nextEdge); + else this.unlinkEdge(hash); // Splice the removed edge out of the linked list of incoming edges. - // from: previousIn => edge => nextIn - // to: previousIn => nextIn - this.unlinkEdge(NEXT_IN, previousIn, edge, nextIn); + if (previousIn && nextIn) this.linkEdge(previousIn, nextIn, NEXT_IN); + else if (previousIn) this.unlinkEdge(previousIn, NEXT_IN); // Splice the removed edge out of the linked list of outgoing edges. - // from: previousOut => edge => nextOut - // to: previousOut => nextOut - this.unlinkEdge(NEXT_OUT, previousOut, edge, nextOut); + if (previousOut && nextOut) this.linkEdge(previousOut, nextOut, NEXT_OUT); + else if (previousOut) this.unlinkEdge(previousOut, NEXT_OUT); // Update the terminating node's first and last incoming edges. - if (firstIn === edge) this.setEdge(FIRST_IN, to, nextIn); - if (lastIn === edge) this.setEdge(LAST_IN, to, previousIn); + if (firstIn === edge) this.setEdge(to, nextIn, FIRST_IN); + if (lastIn === edge) this.setEdge(to, previousIn, LAST_IN); // Update the originating node's first and last outgoing edges. - if (firstOut === edge) this.setEdge(FIRST_OUT, from, nextOut); - if (lastOut === edge) this.setEdge(LAST_OUT, from, previousOut); - - this.#typeMaps?.from - .get(from) - .get(type) - .delete(to); - - this.#typeMaps?.to - .get(to) - .get(type) - .delete(from); + if (firstOut === edge) this.setEdge(from, nextOut, FIRST_OUT); + if (lastOut === edge) this.setEdge(from, previousOut, LAST_OUT); // Mark this slot as DELETED. // We do this so that clustered edges can still be found // by scanning forward in the array from the first index for // the cluster. - this.#edges[index + TYPE] = DELETED; - this.#edges[index + FROM] = 0; - this.#edges[index + TO] = 0; - this.#edges[index + NEXT_IN] = 0; - this.#edges[index + NEXT_OUT] = 0; - - if (!this.inCellar(index)) { - // If we're removing an edge in the addressable space, and it doesn't - // point to anything in the cellar, clear out the edge at the index - if (!this.#edges[index + NEXT_HASH]) { - this.#edges[index + TYPE] = 0; - } - } else { - // If we're removing an edge in the cellar, - // Change the pointer of the previous edge in the collision chain to point - // to the next edge of the removed edge - let prevHash = hash; - while (hashToIndex(hash) !== index) { - prevHash = hash; - hash = this.#edges[hashToIndex(hash) + NEXT_HASH]; - } + this.#edges[edge + TYPE] = DELETED; + this.#edges[edge + FROM] = 0; + this.#edges[edge + TO] = 0; + this.#edges[edge + NEXT_HASH] = 0; + this.#edges[edge + NEXT_IN] = 0; + this.#edges[edge + NEXT_OUT] = 0; - if (prevHash) { - this.#edges[hashToIndex(prevHash) + NEXT_HASH] = this.#edges[ - index + NEXT_HASH - ]; - } + this.#edges[COUNT]--; + this.#edges[DELETES]++; - this.#edges[index + NEXT_HASH] = 0; + this.#typeMaps?.from.delete(from, to, type); + this.#typeMaps?.to.delete(to, from, type); - // If we're deleting an edge in the cellar, add it to the list of deleted edges - // so we can reuse it - this.#deletedEdges.push(index); + // The percentage of utilization of the total capacity of `edges`. + // If we've dropped below the unload threshold, resize the array down. + if ( + this.#edges[CAPACITY] > MIN_CAPACITY && + this.#edges[COUNT] / (this.#edges[CAPACITY] * BUCKET_SIZE) < UNLOAD_FACTOR + ) { + this.resizeEdges(decreaseEdgeCapacity(this.#edges[CAPACITY])); } - this.#numEdges--; - } - - get edges(): Uint32Array { - return this.#edges; - } - - inCellar(index: number): boolean { - return index >= this.#addressSpace; } hasInboundEdges(to: NodeId): boolean { - return Boolean(this.getEdge(FIRST_IN, to)); + return Boolean(this.getEdge(to, FIRST_IN)); } getInboundEdgesByType(to: NodeId): {|type: TEdgeType, from: NodeId|}[] { - let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); + let typeMaps = this._getOrCreateTypeMaps(); let edges = []; if (typeMaps.to.has(to)) { for (let [type, nodes] of typeMaps.to.get(to)) { @@ -1029,7 +920,7 @@ export default class AdjacencyList { } getOutboundEdgesByType(from: NodeId): {|type: TEdgeType, to: NodeId|}[] { - let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); + let typeMaps = this._getOrCreateTypeMaps(); let edges = []; if (typeMaps.from.has(from)) { for (let [type, nodes] of typeMaps.from.get(from)) { @@ -1066,7 +957,7 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); + let typeMaps = this._getOrCreateTypeMaps(); let isAllEdgeTypes = type === ALL_EDGE_TYPES || @@ -1075,20 +966,17 @@ export default class AdjacencyList { let nodes = []; if (typeMaps.from.has(from)) { if (isAllEdgeTypes) { - for (let [, toSet] of typeMaps.from.get(from)) { + for (let toSet of typeMaps.from.get(from).values()) { nodes.push(...toSet); } } else if (Array.isArray(type)) { let fromType = typeMaps.from.get(from); for (let typeNum of type) { - if (fromType.has(typeNum)) { - nodes.push(...fromType.get(typeNum)); - } + let toSet = fromType.get(typeNum); + if (toSet) nodes.push(...toSet); } } else { - if (typeMaps.from.get(from).has((type: any))) { - nodes.push(...typeMaps.from.get(from).get((type: any))); - } + nodes.push(...typeMaps.from.getEdges(from, (type: any))); } } return nodes; @@ -1105,7 +993,7 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let typeMaps = this.#typeMaps || (this.#typeMaps = buildTypeMaps(this)); + let typeMaps = this._getOrCreateTypeMaps(); let isAllEdgeTypes = type === ALL_EDGE_TYPES || @@ -1114,20 +1002,17 @@ export default class AdjacencyList { let nodes = []; if (typeMaps.to.has(to)) { if (isAllEdgeTypes) { - for (let [, from] of typeMaps.to.get(to)) { - nodes.push(...from); + for (let fromSet of typeMaps.to.get(to).values()) { + nodes.push(...fromSet); } } else if (Array.isArray(type)) { let toType = typeMaps.to.get(to); for (let typeNum of type) { - if (toType.has(typeNum)) { - nodes.push(...toType.get(typeNum)); - } + let fromSet = toType.get(typeNum); + if (fromSet) nodes.push(...fromSet); } } else { - if (typeMaps.to.get(to).has((type: any))) { - nodes.push(...typeMaps.to.get(to).get((type: any))); - } + nodes.push(...typeMaps.to.getEdges(to, (type: any))); } } return nodes; @@ -1140,7 +1025,7 @@ export default class AdjacencyList { * */ hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): EdgeHash { - // A crude multiplicative hash, in 4 steps: + // A crude multiplicative hash, in 3 steps: // 1. Serialize the args into an integer that reflects the argument order, // shifting the magnitude of each argument by the sum // of the significant digits of the following arguments, @@ -1148,13 +1033,44 @@ export default class AdjacencyList { // $FlowFixMe[unsafe-addition] // $FlowFixMe[incompatible-type] let hash = '' + from + to + type - 0; - // 2. Map the hash to a value modulo the address space. - hash %= Math.floor(this.#edgeCapacity * ADDRESS_SPACE); - // 3. Multiply by EDGE_SIZE to select a valid index. - hash *= EDGE_SIZE; - - assert(!this.inCellar(hash)); - // 4. Add 1 to guarantee a truthy result. - return hash + 1; + // 2. Mix the upper bits of the integer into the lower bits. + // We do this to increase the likelihood that a change to any + // bit of the input will vary the output widely. + hash = hash32shift(hash); + // 3. Map the hash to a value modulo the edge capacity. + hash %= this.#edges[CAPACITY]; + return hash; + } +} + +class TypeMap { + #map: Map>> = new Map(); + add(from: NodeId, to: NodeId, type: TEdgeType): void { + let types = this.#map.get(from); + if (types == null) { + types = new Map>(); + this.#map.set(from, types); + } + let adjacent = types.get(type); + if (adjacent == null) { + adjacent = new Set(); + types.set(type, adjacent); + } + adjacent.add(to); + } + delete(from: NodeId, to: NodeId, type: TEdgeType): void { + this.#map + .get(from) + ?.get(type) + ?.delete(to); + } + has(from: NodeId): boolean { + return this.#map.has(from); + } + get(from: NodeId): $ReadOnlyMap> { + return this.#map.get(from) ?? new Map(); + } + getEdges(from: NodeId, type: TEdgeType): $ReadOnlySet { + return this.#map.get(from)?.get(type) ?? new Set(); } } diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index b4711cb4c5e..af2f0f3abdb 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -205,52 +205,36 @@ describe('AdjacencyList', () => { let n2 = graph.addNode(); graph.addEdge(n0, n1, 1); graph.addEdge(n1, n2, 1); - let index = graph.indexOf(n0, n1, 1); + let index = graph.indexOf(n1, n2, 1); assert(graph.serialize().edges[index] > 0); assert(!isDeleted(graph.serialize().edges[index])); - graph.removeEdge(n0, n1, 1); + graph.removeEdge(n1, n2, 1); assert(isDeleted(graph.serialize().edges[index])); - graph.addEdge(n1, n2, 1); + graph.addEdge(n0, n1, 1); assert(isDeleted(graph.serialize().edges[index])); assert(graph.serialize().numEdges === 1); }); it('addEdge should replace a deleted edge', () => { let graph = new AdjacencyList(); + // Mock hash fn to generate collisions + // $FlowFixMe[cannot-write] + graph.hash = () => 1; let n0 = graph.addNode(); let n1 = graph.addNode(); graph.addEdge(n0, n1, 1); - let index = graph.indexOf(n0, n1, 1); + graph.addEdge(n0, n1, 2); + let index = graph.indexOf(n0, n1, 2); assert(graph.serialize().edges[index] > 0); assert(!isDeleted(graph.serialize().edges[index])); - graph.removeEdge(n0, n1, 1); + graph.removeEdge(n0, n1, 2); assert(isDeleted(graph.serialize().edges[index])); - graph.addEdge(n0, n1, 1); + graph.addEdge(n0, n1, 2); assert(graph.serialize().edges[index] > 0); assert(!isDeleted(graph.serialize().edges[index])); }); - it('clone should make a new copy', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 1); - graph.addEdge(n0, n1, 2); - - let originalSerialized = graph.serialize(); - - let copy = graph.clone(); - let copySerialized = copy.serialize(); - - assert(copySerialized.nodes !== originalSerialized.nodes); - assert(copySerialized.edges !== originalSerialized.edges); - copySerialized.nodes[0] = Math.max(copySerialized.nodes[0], 1) * 2; - copySerialized.edges[0] = Math.max(copySerialized.edges[0], 1) * 2; - assert(copySerialized.nodes[0] !== originalSerialized.nodes[0]); - assert(copySerialized.edges[0] !== originalSerialized.edges[0]); - }); - - describe('serialize', function() { + describe('deserialize', function() { this.timeout(10000); it('should share the underlying data across worker threads', async () => { @@ -283,53 +267,27 @@ describe('AdjacencyList', () => { assert.equal(v * 2, graph.serialize().edges[i]); }); }); - }); - describe('deserialize', function() { - it('should make a readonly AdjacencyList', () => { + it('should copy on write', () => { let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); let n0 = graph.addNode(); let n1 = graph.addNode(); graph.addEdge(n0, n1, 1); graph.addEdge(n0, n1, 2); - let edge1 = graph.hash(n0, n1, 1); - let edge2 = graph.hash(n0, n1, 2); let copy = AdjacencyList.deserialize(graph.serialize()); - assert.throws(() => copy.addNode(), /readonly/); - assert.throws(() => copy.addEdge(n0, n1, 1), /readonly/); - assert.throws(() => copy.addEdge(n0, n1, 3), /readonly/); - assert.throws(() => copy.removeEdge(n0, n1, 1), /readonly/); - assert.throws(() => copy.removeEdge(n0, n1, 3), /readonly/); - assert.throws(() => copy.resizeNodes(10), /readonly/); - assert.throws(() => copy.resizeEdges(10), /readonly/); - assert.throws(() => copy.setEdge(3, n0, null), /readonly/); - assert.throws(() => copy.linkEdge(3, edge1, edge2), /readonly/); - assert.throws(() => copy.unlinkEdge(3, null, edge1, null), /readonly/); - }); + assert(copy.hasEdge(n0, n1, 1)); + assert(copy.hasEdge(n0, n1, 2)); + assert(graph.hasEdge(n0, n1, 1)); + assert(graph.hasEdge(n0, n1, 2)); - it('should allow a mutable AdjacencyList', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 1); - graph.addEdge(n0, n1, 2); - let edge1 = graph.hash(n0, n1, 1); - let edge2 = graph.hash(n0, n1, 2); - - let copy = AdjacencyList.deserialize(graph.serialize(), true); - - assert.doesNotThrow(() => copy.addNode()); - assert.doesNotThrow(() => copy.addEdge(n0, n1, 1)); - assert.doesNotThrow(() => copy.addEdge(n0, n1, 3)); - assert.doesNotThrow(() => copy.removeEdge(n0, n1, 1)); - assert.doesNotThrow(() => copy.removeEdge(n0, n1, 3)); - assert.doesNotThrow(() => copy.resizeNodes(10)); - assert.doesNotThrow(() => copy.resizeEdges(10)); - assert.doesNotThrow(() => copy.setEdge(3, n0, null)); - assert.doesNotThrow(() => copy.linkEdge(3, edge1, edge2)); - assert.doesNotThrow(() => copy.unlinkEdge(3, null, edge1, null)); + copy.removeEdge(n0, n1, 1); + + assert(!copy.hasEdge(n0, n1, 1)); + assert(copy.hasEdge(n0, n1, 2)); + assert(graph.hasEdge(n0, n1, 1)); + assert(graph.hasEdge(n0, n1, 2)); }); }); }); From 26636c5ec28669a21f83d3c5e4ef27c950a5f521 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 2 Sep 2021 12:39:57 -0400 Subject: [PATCH 097/117] Fix unit tests --- packages/core/core/src/AdjacencyList.js | 9 +- packages/core/core/test/AdjacencyList.test.js | 97 ++++++++----------- ...rker.js => adjacency-list-shared-array.js} | 4 +- 3 files changed, 53 insertions(+), 57 deletions(-) rename packages/core/core/test/integration/{worker.js => adjacency-list-shared-array.js} (67%) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 87e60222396..d181e4b968f 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -54,7 +54,7 @@ import type {NodeId} from './types'; */ export const NODE_SIZE: 4 = 4; /** The size of nodes array header */ -const NODES_HEADER_SIZE: 2 = 2; +export const NODES_HEADER_SIZE: 2 = 2; /** * Edges are stored in a shared array buffer of fixed length @@ -142,7 +142,7 @@ const NODES_HEADER_SIZE: 2 = 2; */ export const EDGE_SIZE: 6 = 6; /** The size of the edges array header */ -const EDGES_HEADER_SIZE: 3 = 3; +export const EDGES_HEADER_SIZE: 3 = 3; /** The offset from the header where the capacity is stored. */ const CAPACITY: 0 = 0; @@ -437,6 +437,11 @@ export default class AdjacencyList { let to = this.getToNode(edge); let type = this.getEdgeType(edge); typeMaps.from.add(from, to, type); + } + for (let edge of this.iterateIncomingEdges(node)) { + let from = this.getFromNode(edge); + let to = this.getToNode(edge); + let type = this.getEdgeType(edge); typeMaps.to.add(to, from, type); } } diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index af2f0f3abdb..6605f5407e5 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -5,41 +5,40 @@ import path from 'path'; import {Worker} from 'worker_threads'; import AdjacencyList, { - NODE_SIZE, - EDGE_SIZE, + NODES_HEADER_SIZE, + EDGES_HEADER_SIZE, isDeleted, } from '../src/AdjacencyList'; import {toNodeId} from '../src/types'; describe('AdjacencyList', () => { it('constructor should initialize an empty graph', () => { - let graph = new AdjacencyList({ + let stats = new AdjacencyList({ nodeCapacity: 1, edgeCapacity: 1, - }).serialize(); - assert.deepEqual(graph.nodes, new Uint32Array(1 * NODE_SIZE)); - assert.deepEqual(graph.edges, new Uint32Array(1 * EDGE_SIZE)); - assert.equal(graph.numNodes, 0); - assert.equal(graph.numEdges, 0); + }).stats; + assert(stats.nodes === 0); + assert(stats.edges === 0); }); it('addNode should add a node to the graph', () => { let graph = new AdjacencyList(); let id = graph.addNode(); assert.equal(id, 0); - assert.equal(graph.serialize().numNodes, 1); + assert.equal(graph.stats.nodes, 1); }); it('addNode should resize nodes array when necessary', () => { let graph = new AdjacencyList({nodeCapacity: 1}); + let size = graph.serialize().nodes.length; graph.addNode(); - assert.deepEqual(graph.serialize().nodes, new Uint32Array(2 * NODE_SIZE)); + assert(size < (size = graph.serialize().nodes.length)); graph.addNode(); - assert.deepEqual(graph.serialize().nodes, new Uint32Array(4 * NODE_SIZE)); + assert(size === graph.serialize().nodes.length); graph.addNode(); - assert.deepEqual(graph.serialize().nodes, new Uint32Array(4 * NODE_SIZE)); + assert(size === graph.serialize().nodes.length); graph.addNode(); - assert.deepEqual(graph.serialize().nodes, new Uint32Array(8 * NODE_SIZE)); + assert(size < graph.serialize().nodes.length); }); it('removeEdge should remove an edge from the graph', () => { @@ -76,7 +75,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b, 3); graph.addEdge(a, c); graph.addEdge(a, d, 3); - assert.equal(graph.serialize().numEdges, 5); + assert.equal(graph.stats.edges, 5); assert.ok(graph.hasEdge(a, b)); assert.ok(graph.hasEdge(a, b, 2)); assert.ok(graph.hasEdge(a, b, 3)); @@ -91,7 +90,7 @@ describe('AdjacencyList', () => { ]); graph.removeEdge(a, b, 2); - assert.equal(graph.serialize().numEdges, 4); + assert.equal(graph.stats.edges, 4); assert.ok(graph.hasEdge(a, b)); assert.equal(graph.hasEdge(a, b, 2), false); assert.ok(graph.hasEdge(a, b, 3)); @@ -110,8 +109,8 @@ describe('AdjacencyList', () => { let a = graph.addNode(); let b = graph.addNode(); graph.addEdge(a, b); - assert.equal(graph.serialize().numNodes, 2); - assert.equal(graph.serialize().numEdges, 1); + assert.equal(graph.stats.nodes, 2); + assert.equal(graph.stats.edges, 1); assert.ok(graph.hasEdge(a, b)); }); @@ -166,14 +165,12 @@ describe('AdjacencyList', () => { it('addEdge should resize edges array when necessary', () => { let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); + let size = graph.serialize().edges.length; let a = graph.addNode(); let b = graph.addNode(); - let c = graph.addNode(); - assert.equal(graph.serialize().edges.length, EDGE_SIZE); - graph.addEdge(a, b); - assert.equal(graph.serialize().edges.length, EDGE_SIZE * 2); - graph.addEdge(a, c); - assert.equal(graph.serialize().edges.length, EDGE_SIZE * 4); + graph.addEdge(a, b, 1); + graph.addEdge(a, b, 2); + assert(size < graph.serialize().edges.length); }); it('addEdge should error when a node has not been added to the graph', () => { @@ -205,18 +202,19 @@ describe('AdjacencyList', () => { let n2 = graph.addNode(); graph.addEdge(n0, n1, 1); graph.addEdge(n1, n2, 1); - let index = graph.indexOf(n1, n2, 1); + // $FlowFixMe[incompatible-type] + let index: number = graph.indexOf(n1, n2, 1); assert(graph.serialize().edges[index] > 0); assert(!isDeleted(graph.serialize().edges[index])); graph.removeEdge(n1, n2, 1); assert(isDeleted(graph.serialize().edges[index])); graph.addEdge(n0, n1, 1); assert(isDeleted(graph.serialize().edges[index])); - assert(graph.serialize().numEdges === 1); + assert(graph.stats.edges === 1); }); it('addEdge should replace a deleted edge', () => { - let graph = new AdjacencyList(); + let graph = new AdjacencyList({edgeCapacity: 2}); // Mock hash fn to generate collisions // $FlowFixMe[cannot-write] graph.hash = () => 1; @@ -224,7 +222,8 @@ describe('AdjacencyList', () => { let n1 = graph.addNode(); graph.addEdge(n0, n1, 1); graph.addEdge(n0, n1, 2); - let index = graph.indexOf(n0, n1, 2); + // $FlowFixMe[incompatible-type] + let index: number = graph.indexOf(n0, n1, 2); assert(graph.serialize().edges[index] > 0); assert(!isDeleted(graph.serialize().edges[index])); graph.removeEdge(n0, n1, 2); @@ -244,7 +243,9 @@ describe('AdjacencyList', () => { graph.addEdge(n0, n1, 1); graph.addEdge(n0, n1, 2); - let worker = new Worker(path.join(__dirname, 'integration/worker.js')); + let worker = new Worker( + path.join(__dirname, 'integration/adjacency-list-shared-array.js'), + ); let originalSerialized = graph.serialize(); let originalNodes = [...originalSerialized.nodes]; @@ -258,36 +259,24 @@ describe('AdjacencyList', () => { assert.deepEqual(received.serialize().edges, graph.serialize().edges); originalNodes.forEach((v, i) => { - assert.equal(v * 2, received.serialize().nodes[i]); - assert.equal(v * 2, graph.serialize().nodes[i]); + if (i < NODES_HEADER_SIZE) { + assert.equal(v, received.serialize().nodes[i]); + assert.equal(v, graph.serialize().nodes[i]); + } else { + assert.equal(v * 2, received.serialize().nodes[i]); + assert.equal(v * 2, graph.serialize().nodes[i]); + } }); originalEdges.forEach((v, i) => { - assert.equal(v * 2, received.serialize().edges[i]); - assert.equal(v * 2, graph.serialize().edges[i]); + if (i < EDGES_HEADER_SIZE) { + assert.equal(v, received.serialize().edges[i]); + assert.equal(v, graph.serialize().edges[i]); + } else { + assert.equal(v * 2, received.serialize().edges[i]); + assert.equal(v * 2, graph.serialize().edges[i]); + } }); }); - - it('should copy on write', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); - let n0 = graph.addNode(); - let n1 = graph.addNode(); - graph.addEdge(n0, n1, 1); - graph.addEdge(n0, n1, 2); - - let copy = AdjacencyList.deserialize(graph.serialize()); - - assert(copy.hasEdge(n0, n1, 1)); - assert(copy.hasEdge(n0, n1, 2)); - assert(graph.hasEdge(n0, n1, 1)); - assert(graph.hasEdge(n0, n1, 2)); - - copy.removeEdge(n0, n1, 1); - - assert(!copy.hasEdge(n0, n1, 1)); - assert(copy.hasEdge(n0, n1, 2)); - assert(graph.hasEdge(n0, n1, 1)); - assert(graph.hasEdge(n0, n1, 2)); - }); }); }); diff --git a/packages/core/core/test/integration/worker.js b/packages/core/core/test/integration/adjacency-list-shared-array.js similarity index 67% rename from packages/core/core/test/integration/worker.js rename to packages/core/core/test/integration/adjacency-list-shared-array.js index bcef01e0cd4..1407c448789 100644 --- a/packages/core/core/test/integration/worker.js +++ b/packages/core/core/test/integration/adjacency-list-shared-array.js @@ -1,13 +1,15 @@ require('@parcel/babel-register'); const {parentPort} = require('worker_threads'); -const {default: AdjacencyList} = require('../../src/AdjacencyList'); +const {default: AdjacencyList, NODES_HEADER_SIZE, EDGES_HEADER_SIZE} = require('../../src/AdjacencyList'); parentPort.once('message', (serialized) => { let graph = AdjacencyList.deserialize(serialized); serialized.nodes.forEach((v, i) => { + if (i < NODES_HEADER_SIZE) return; serialized.nodes[i] = v * 2; }); serialized.edges.forEach((v, i) => { + if (i < EDGES_HEADER_SIZE) return; serialized.edges[i] = v * 2; }); parentPort.postMessage(graph.serialize()); From 5fb21154fc2256f0ddd028df8cd933ff63ccca0e Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 2 Sep 2021 16:33:13 -0400 Subject: [PATCH 098/117] Defer reclaiming of deleted space until the next add We were reclaiming space when removing edges, but it turns out that doing so was quite expensive in practice. Instead, we defer reclaiming that space until the sum total of adds and deletes exceeds the capacity by the load factor. --- packages/core/core/src/AdjacencyList.js | 57 +++++++++++-------- packages/core/core/test/AdjacencyList.test.js | 3 +- 2 files changed, 35 insertions(+), 25 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index d181e4b968f..2af2b2403dd 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -183,6 +183,10 @@ const LAST_OUT: 3 = 3; const LOAD_FACTOR = 0.7; /** The lower bound below which the edge capacity should be decreased. */ const UNLOAD_FACTOR = 0.3; +/** The amount by which to grow the capacity of the edges array. */ +const GROW_FACTOR = 4; +/** The amount by which to shrink the capacity of the edges array. */ +const SHRINK_FACTOR = 0.5; /** The smallest functional node or edge capacity. */ const MIN_CAPACITY = 256; /** How many edges to accommodate in a hash bucket. */ @@ -263,15 +267,22 @@ function getNodesLength(nodeCapacity: number): number { } function increaseNodeCapacity(nodeCapacity: number): number { - return nodeCapacity * 4; + return nodeCapacity * 2; } -function increaseEdgeCapacity(edgeCapacity: number): number { - return edgeCapacity * 4; -} - -function decreaseEdgeCapacity(edgeCapacity: number): number { - return Math.max(0, Math.floor(edgeCapacity / 2)); +function getNextEdgeCapacity(capacity: number, count: number): number { + let newCapacity = capacity; + if (count / (capacity * BUCKET_SIZE) > LOAD_FACTOR) { + // If we're in danger of overflowing the `edges` array, resize it. + newCapacity = Math.floor(capacity * GROW_FACTOR); + } else if ( + capacity > MIN_CAPACITY && + count / (capacity * BUCKET_SIZE) < UNLOAD_FACTOR + ) { + // If we've dropped below the unload threshold, resize the array down. + newCapacity = Math.floor(capacity * SHRINK_FACTOR); + } + return Math.max(MIN_CAPACITY, newCapacity); } export default class AdjacencyList { @@ -698,14 +709,21 @@ export default class AdjacencyList { // The edge is already in the graph; do nothing. if (this.hasEdge(from, to, type)) return false; - let count = this.#edges[COUNT] + this.#edges[DELETES] + 1; - // If we're in danger of overflowing the `edges` array, resize it. - if (count / (this.#edges[CAPACITY] * BUCKET_SIZE) > LOAD_FACTOR) { - // The size of `edges` doubles every time we reach the current capacity. - // This means in the worst case, we will have `O(n - 1)` _extra_ - // space allocated where `n` is a number edges that is 1 more - // than the previous capacity. - this.resizeEdges(increaseEdgeCapacity(this.#edges[CAPACITY])); + let capacity = this.#edges[CAPACITY]; + let count = this.#edges[COUNT]; + let deletes = this.#edges[DELETES]; + // Since the space occupied by deleted edges isn't reclaimed, + // we include them in our count to avoid overflowing the `edges` array. + // We also add 1 to account for the edge we are adding. + let total = count + deletes + 1; + // If we have enough space to keep adding edges, we can + // put off reclaiming the deleted space until the next resize. + if (total / (capacity * BUCKET_SIZE) > LOAD_FACTOR) { + // Since resizing edges will effectively reclaim space + // occupied by deleted edges, we compute our new capacity + // based purely on the current count, even though we decided + // to resize based on the sum total of count and deletes. + this.resizeEdges(getNextEdgeCapacity(capacity, count)); } // Use the next available index as our new edge index. @@ -896,15 +914,6 @@ export default class AdjacencyList { this.#typeMaps?.from.delete(from, to, type); this.#typeMaps?.to.delete(to, from, type); - - // The percentage of utilization of the total capacity of `edges`. - // If we've dropped below the unload threshold, resize the array down. - if ( - this.#edges[CAPACITY] > MIN_CAPACITY && - this.#edges[COUNT] / (this.#edges[CAPACITY] * BUCKET_SIZE) < UNLOAD_FACTOR - ) { - this.resizeEdges(decreaseEdgeCapacity(this.#edges[CAPACITY])); - } } hasInboundEdges(to: NodeId): boolean { diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index 6605f5407e5..f54bb5d3f13 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -34,7 +34,7 @@ describe('AdjacencyList', () => { graph.addNode(); assert(size < (size = graph.serialize().nodes.length)); graph.addNode(); - assert(size === graph.serialize().nodes.length); + assert(size < (size = graph.serialize().nodes.length)); graph.addNode(); assert(size === graph.serialize().nodes.length); graph.addNode(); @@ -170,6 +170,7 @@ describe('AdjacencyList', () => { let b = graph.addNode(); graph.addEdge(a, b, 1); graph.addEdge(a, b, 2); + graph.addEdge(a, b, 3); assert(size < graph.serialize().edges.length); }); From e6c5580a600e6e4483f207e4da5b075fd7c4c881 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 2 Sep 2021 19:18:17 -0400 Subject: [PATCH 099/117] (Re)introduce doubly linked adjacency list --- packages/core/core/src/AdjacencyList.js | 141 ++++++++++++++++-------- 1 file changed, 92 insertions(+), 49 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 2af2b2403dd..36b024c96d1 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -33,7 +33,7 @@ import type {NodeId} from './types'; * │ CAPACITY │ COUNT │ * └────────────┴───────────┘ * - * Each node is represented with 2 4-byte chunks: + * Each node is represented with 4 4-byte chunks: * The first 4 bytes are the hash of the node's first incoming edge. * The second 4 bytes are the hash of the node's first outgoing edge. * The second 4 bytes are the hash of the node's last incoming edge. @@ -104,34 +104,37 @@ export const NODES_HEADER_SIZE: 2 = 2; * int nextOut; * } * - * ┌─────────────────────────────────────────────────────────────────────────────┐ - * │ EDGE_SIZE │ - * ├────────────┬────────────┬────────────┬────────────┬────────────┬────────────┤ - * │ TYPE │ FROM │ TO │ NEXT_HASH │ NEXT_IN │ NEXT_OUT │ - * └────────────┴────────────┴────────────┴────────────┴────────────┴────────────┘ + * ┌────────────────────────────────────────────────────────────────────────┐ + * │ EDGE_SIZE │ + * ├──────┬──────┬────┬───────────┬─────────┬─────────┬──────────┬──────────┤ + * │ TYPE │ FROM │ TO │ NEXT_HASH │ NEXT_IN │ PREV_IN │ NEXT_OUT │ PREV_OUT │ + * └──────┴──────┴────┴───────────┴─────────┴─────────┴──────────┴──────────┘ * - * Nodes and Edges create a linked list of edges to and from each node. + * Nodes and Edges create a doubly linked list of edges to and from each node. * * For example, 3 edges from node 0 to 1 are linked thusly: * - * ┌───────┐ - * │ Node0 │ - * ┌───────┴───┬───┴───────┐ - * ┌────│FirstOut(1)│LastOut(3) │────┐ - * ▼ └───────────┴───────────┘ ▼ - * ┌───────┐ ┌───────┐ - * ┌─▶│ Edge1 │ ┌───────┐ ┌──▶│ Edge3 │◀─┐ - * │┌─┴───────┴─┐ ┌──▶│ Edge2 │ │ ┌─┴───────┴─┐│ - * ││ NextIn(2) │──┤ ┌─┴───────┴─┐ │ │ NextIn(0) ││ - * │├───────────┤ │ │ NextIn(3) │──┤ ├───────────┤│ - * ││NextOut(2) │──┘ ├───────────┤ │ │NextOut(0) ││ - * │└───────────┘ │NextOut(3) │──┘ └───────────┘│ - * │ └───────────┘ │ - * │ ┌───────────┬───────────┐ │ - * └───────────│FirstIn(1) │ LastIn(3) │───────────┘ - * └───────┬───┴───┬───────┘ - * │ Node1 │ - * └───────┘ + * ┌───────┐ + * │ Node0 │ + * ┌───────┴───┬───┴───────┐ + * ┌─────│FirstOut(1)│LastOut(3) │─────┐ + * ▼ └───────────┴───────────┘ ▼ + * ┌───────┐ ┌───────┐ ┌───────┐ + * ┌─▶│ Edge1 │◀──┐ ┌──▶│ Edge2 │◀──┐ ┌──▶│ Edge3 │◀─┐ + * │┌─┴───────┴─┐ │ │ ┌─┴───────┴─┐ │ │ ┌─┴───────┴─┐│ + * ││ NextIn(2) │─│─┤ │ NextIn(3) │─│─┤ │ NextIn(0) ││ + * │├───────────┤ │ │ ├───────────┤ │ │ ├───────────┤│ + * ││ PrevIn(0) │ ├───│ PrevIn(1) │ ├───│ PrevIn(2) ││ + * │├───────────┤ │ │ ├───────────┤ │ │ ├───────────┤│ + * ││NextOut(2) │─│─┘ │NextOut(3) │─│─┘ │NextOut(0) ││ + * │├───────────┤ │ ├───────────┤ │ ├───────────┤│ + * ││PrevOut(0) │ └───│PrevOut(1) │ └───│PrevOut(2) ││ + * │└───────────┘ └───────────┘ └───────────┘│ + * │ ┌───────────┬───────────┐ │ + * └────────────│FirstIn(1) │ LastIn(3) │────────────┘ + * └───────┬───┴───┬───────┘ + * │ Node1 │ + * └───────┘ * * To traverse the outgoing edges of `Node0`, you start with `FirstOut(1)`, * which points to `Edge1`. Then follow the link to `Edge2` via `NextOut(2)`. @@ -139,8 +142,11 @@ export const NODES_HEADER_SIZE: 2 = 2; * * The incoming edges to `Node1` are similar, but starting from * `FirstIn(1)` and following the `NextIn()` links instead. + * + * Edges may be traversed in reverse order by starting from `LastIn(1)` + * or `LastOut(1)` and following the `PrevIn()` or `PrevOut()` links. */ -export const EDGE_SIZE: 6 = 6; +export const EDGE_SIZE: 8 = 8; /** The size of the edges array header */ export const EDGES_HEADER_SIZE: 3 = 3; @@ -164,11 +170,21 @@ const NEXT_HASH: 3 = 3; * of the 'to' node's next incoming edge is stored. */ const NEXT_IN: 4 = 4; +/** + * The offset from an edge index at which the hash + * of the 'to' node's previous incoming edge is stored. + */ +const PREV_IN: 5 = 5; /** * The offset from an edge index at which the hash * of the 'from' node's next outgoing edge is stored. */ -const NEXT_OUT: 5 = 5; +const NEXT_OUT: 6 = 6; +/** + * The offset from an edge index at which the hash + * of the 'from' node's previous outgoing edge is stored. + */ +const PREV_OUT: 7 = 7; /** The offset from a node index at which the hash of the first incoming edge is stored. */ const FIRST_IN: 0 = 0; @@ -352,7 +368,7 @@ export default class AdjacencyList { } /** - * Returns a JSON-serializable object of the nodes and edges in the graph. + * Returns a serializable object of the nodes and edges in the graph. */ serialize(): SerializedAdjacencyList { return { @@ -612,7 +628,12 @@ export default class AdjacencyList { linkEdge( prev: EdgeHash | EdgeIndex, edge: EdgeIndex, - direction?: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, + direction?: + | typeof NEXT_HASH + | typeof NEXT_IN + | typeof PREV_IN + | typeof NEXT_OUT + | typeof PREV_OUT, ): void { if (direction) { this.#edges[prev + direction] = edge; @@ -623,7 +644,12 @@ export default class AdjacencyList { unlinkEdge( prev: EdgeHash | EdgeIndex, - direction?: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, + direction?: + | typeof NEXT_HASH + | typeof NEXT_IN + | typeof PREV_IN + | typeof NEXT_OUT + | typeof PREV_OUT, ): void { if (direction) { this.#edges[prev + direction] = 0; @@ -635,7 +661,12 @@ export default class AdjacencyList { /** Get the edge this `edge` links to in the given direction. */ getLinkedEdge( prev: EdgeHash | EdgeIndex | null, - direction?: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, + direction?: + | typeof NEXT_HASH + | typeof NEXT_IN + | typeof PREV_IN + | typeof NEXT_OUT + | typeof PREV_OUT, ): EdgeIndex | null { if (prev === null) return null; if (direction) { @@ -648,23 +679,15 @@ export default class AdjacencyList { /** Find the edge linked to the given `edge`. */ findEdgeBefore( edge: EdgeIndex, - direction: typeof NEXT_HASH | typeof NEXT_IN | typeof NEXT_OUT, + direction: typeof NEXT_HASH, ): EdgeIndex | null { - let candidate = - direction === NEXT_HASH - ? this.getLinkedEdge(this.getHash(edge)) - : direction === NEXT_IN - ? this.getEdge(this.getToNode(edge), FIRST_IN) - : this.getEdge(this.getFromNode(edge), FIRST_OUT); - + let candidate = this.getLinkedEdge(this.getHash(edge)); if (edge === candidate) return null; - while (candidate) { let next = this.getLinkedEdge(candidate, direction); if (next === edge) return candidate; candidate = next; } - return null; } @@ -755,14 +778,20 @@ export default class AdjacencyList { let lastOutgoing = this.getEdge(from, LAST_OUT); // If the `to` node has incoming edges, link the last edge to this one. - if (lastIncoming) this.linkEdge(lastIncoming, edge, NEXT_IN); + if (lastIncoming) { + this.linkEdge(lastIncoming, edge, NEXT_IN); + this.linkEdge(edge, lastIncoming, PREV_IN); + } // Set this edge as the last incoming edge to the `to` node. this.setEdge(to, edge, LAST_IN); // If the `to` node has no incoming edges, set this edge as the first one. if (!firstIncoming) this.setEdge(to, edge, FIRST_IN); // If the `from` node has outgoing edges, link the last edge to this one. - if (lastOutgoing) this.linkEdge(lastOutgoing, edge, NEXT_OUT); + if (lastOutgoing) { + this.linkEdge(lastOutgoing, edge, NEXT_OUT); + this.linkEdge(edge, lastOutgoing, PREV_OUT); + } // Set this edge as the last outgoing edge from the `from` node. this.setEdge(from, edge, LAST_OUT); // If the `from` node has no outgoing edges, set this edge as the first one. @@ -862,7 +891,7 @@ export default class AdjacencyList { /** The next incoming edge after the removed edge. */ let nextIn = this.getLinkedEdge(edge, NEXT_IN); /** The previous incoming edge before the removed edge. */ - let previousIn = this.findEdgeBefore(edge, NEXT_IN); + let previousIn = this.getLinkedEdge(edge, PREV_IN); /** The first outgoing edge from the removed edge's origin. */ let firstOut = this.getEdge(from, FIRST_OUT); /** The last outgoing edge from the removed edge's origin. */ @@ -870,7 +899,7 @@ export default class AdjacencyList { /** The next outgoing edge after the removed edge. */ let nextOut = this.getLinkedEdge(edge, NEXT_OUT); /** The previous outgoing edge before the removed edge. */ - let previousOut = this.findEdgeBefore(edge, NEXT_OUT); + let previousOut = this.getLinkedEdge(edge, PREV_OUT); /** The next edge in the bucket after the removed edge. */ let nextEdge = this.getLinkedEdge(edge, NEXT_HASH); /** The previous edge in the bucket before the removed edge. */ @@ -883,12 +912,24 @@ export default class AdjacencyList { else this.unlinkEdge(hash); // Splice the removed edge out of the linked list of incoming edges. - if (previousIn && nextIn) this.linkEdge(previousIn, nextIn, NEXT_IN); - else if (previousIn) this.unlinkEdge(previousIn, NEXT_IN); + if (previousIn && nextIn) { + this.linkEdge(previousIn, nextIn, NEXT_IN); + this.linkEdge(nextIn, previousIn, PREV_IN); + } else if (previousIn) { + this.unlinkEdge(previousIn, NEXT_IN); + } else if (nextIn) { + this.unlinkEdge(nextIn, PREV_IN); + } // Splice the removed edge out of the linked list of outgoing edges. - if (previousOut && nextOut) this.linkEdge(previousOut, nextOut, NEXT_OUT); - else if (previousOut) this.unlinkEdge(previousOut, NEXT_OUT); + if (previousOut && nextOut) { + this.linkEdge(previousOut, nextOut, NEXT_OUT); + this.linkEdge(nextOut, previousOut, PREV_OUT); + } else if (previousOut) { + this.unlinkEdge(previousOut, NEXT_OUT); + } else if (nextOut) { + this.unlinkEdge(nextOut, PREV_OUT); + } // Update the terminating node's first and last incoming edges. if (firstIn === edge) this.setEdge(to, nextIn, FIRST_IN); @@ -907,7 +948,9 @@ export default class AdjacencyList { this.#edges[edge + TO] = 0; this.#edges[edge + NEXT_HASH] = 0; this.#edges[edge + NEXT_IN] = 0; + this.#edges[edge + PREV_IN] = 0; this.#edges[edge + NEXT_OUT] = 0; + this.#edges[edge + PREV_OUT] = 0; this.#edges[COUNT]--; this.#edges[DELETES]++; From 4edc8b7c2fc894c0ea0d3532faad74baf8dd41c1 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Fri, 3 Sep 2021 17:31:16 -0400 Subject: [PATCH 100/117] Remove DELETED sentinel We don't need this any more because we eliminated linear scanning. --- packages/core/core/src/AdjacencyList.js | 22 ++----------------- packages/core/core/test/AdjacencyList.test.js | 12 +++++----- 2 files changed, 7 insertions(+), 27 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 36b024c96d1..cd544d512e9 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -208,20 +208,6 @@ const MIN_CAPACITY = 256; /** How many edges to accommodate in a hash bucket. */ const BUCKET_SIZE = 2; -/** - * A sentinel that indicates that an edge was deleted. - * - * Because our (open-addressed) table resolves hash collisions - * by scanning forward for the next open slot when inserting, - * and stops scanning at the next open slot when fetching, - * we use this sentinel (instead of `0`) to maintain contiguity. - */ -const DELETED: 0xffffffff = 0xffffffff; - -export function isDeleted(type: TEdgeType): boolean { - return type === DELETED; -} - export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; // eslint-disable-next-line no-unused-vars @@ -507,7 +493,7 @@ export default class AdjacencyList { /** Check that the edge exists in the `AdjacencyList`. */ edgeExists(edge: EdgeIndex): boolean { let type = (this.#edges[edge + TYPE]: any); - return Boolean(type) && !isDeleted(type); + return Boolean(type); } /** Gets the original hash of the given edge */ @@ -939,11 +925,7 @@ export default class AdjacencyList { if (firstOut === edge) this.setEdge(from, nextOut, FIRST_OUT); if (lastOut === edge) this.setEdge(from, previousOut, LAST_OUT); - // Mark this slot as DELETED. - // We do this so that clustered edges can still be found - // by scanning forward in the array from the first index for - // the cluster. - this.#edges[edge + TYPE] = DELETED; + this.#edges[edge + TYPE] = 0; this.#edges[edge + FROM] = 0; this.#edges[edge + TO] = 0; this.#edges[edge + NEXT_HASH] = 0; diff --git a/packages/core/core/test/AdjacencyList.test.js b/packages/core/core/test/AdjacencyList.test.js index f54bb5d3f13..c4ffe54d370 100644 --- a/packages/core/core/test/AdjacencyList.test.js +++ b/packages/core/core/test/AdjacencyList.test.js @@ -7,7 +7,6 @@ import {Worker} from 'worker_threads'; import AdjacencyList, { NODES_HEADER_SIZE, EDGES_HEADER_SIZE, - isDeleted, } from '../src/AdjacencyList'; import {toNodeId} from '../src/types'; @@ -206,11 +205,10 @@ describe('AdjacencyList', () => { // $FlowFixMe[incompatible-type] let index: number = graph.indexOf(n1, n2, 1); assert(graph.serialize().edges[index] > 0); - assert(!isDeleted(graph.serialize().edges[index])); graph.removeEdge(n1, n2, 1); - assert(isDeleted(graph.serialize().edges[index])); + assert(!graph.serialize().edges[index]); graph.addEdge(n0, n1, 1); - assert(isDeleted(graph.serialize().edges[index])); + assert(!graph.serialize().edges[index]); assert(graph.stats.edges === 1); }); @@ -226,12 +224,12 @@ describe('AdjacencyList', () => { // $FlowFixMe[incompatible-type] let index: number = graph.indexOf(n0, n1, 2); assert(graph.serialize().edges[index] > 0); - assert(!isDeleted(graph.serialize().edges[index])); + assert(graph.serialize().edges[index]); graph.removeEdge(n0, n1, 2); - assert(isDeleted(graph.serialize().edges[index])); + assert(!graph.serialize().edges[index]); graph.addEdge(n0, n1, 2); assert(graph.serialize().edges[index] > 0); - assert(!isDeleted(graph.serialize().edges[index])); + assert(graph.serialize().edges[index]); }); describe('deserialize', function() { From 2235203321d5a88d470eccf0e1730c547b887def Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 7 Sep 2021 11:57:53 -0400 Subject: [PATCH 101/117] Update comments to reflect changes --- packages/core/core/src/AdjacencyList.js | 37 +++++++++++++++---------- 1 file changed, 22 insertions(+), 15 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index cd544d512e9..e66316b8596 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -87,13 +87,15 @@ export const NODES_HEADER_SIZE: 2 = 2; * │ CAPACITY │ COUNT │ DELETES │ * └────────────┴───────────┴───────────┘ * - * Each edge is represented with 5 4-byte chunks: + * Each edge is represented with 8 4-byte chunks: * The first 4 bytes are the edge type. * The second 4 bytes are the id of the 'from' node. * The third 4 bytes are the id of the 'to' node. * The fourth 4 bytes are the index of the next edge in the bucket of hash collisions. * The fifth 4 bytes are the hash of the 'to' node's next incoming edge. - * The sixth 4 bytes are the hash of the 'from' node's next outgoing edge. + * The sixth 4 bytes are the hash of the 'to' node's previous incoming edge. + * The seventh 4 bytes are the hash of the 'from' node's next outgoing edge. + * The eighth 4 bytes are the hash of the 'from' node's previous outgoing edge. * * struct Edge { * int type; @@ -101,7 +103,9 @@ export const NODES_HEADER_SIZE: 2 = 2; * int to; * int nextHash; * int nextIn; + * int prevIn; * int nextOut; + * int prevOut; * } * * ┌────────────────────────────────────────────────────────────────────────┐ @@ -163,36 +167,39 @@ const TYPE: 0 = 0; const FROM: 1 = 1; /** The offset from an edge index at which the 'to' node id is stored. */ const TO: 2 = 2; -/** The offset from an edge index at which the next edge in the chain of hash collisions is stored*/ +/** + * The offset from an edge index at which + * the next edge in the chain of hash collisions is stored + */ const NEXT_HASH: 3 = 3; /** - * The offset from an edge index at which the hash - * of the 'to' node's next incoming edge is stored. + * The offset from an edge index at which the 'to' node's + * next incoming edge is stored. */ const NEXT_IN: 4 = 4; /** - * The offset from an edge index at which the hash - * of the 'to' node's previous incoming edge is stored. + * The offset from an edge index at which the 'to' node's + * previous incoming edge is stored. */ const PREV_IN: 5 = 5; /** - * The offset from an edge index at which the hash - * of the 'from' node's next outgoing edge is stored. + * The offset from an edge index at which the 'from' node's + * next outgoing edge is stored. */ const NEXT_OUT: 6 = 6; /** - * The offset from an edge index at which the hash - * of the 'from' node's previous outgoing edge is stored. + * The offset from an edge index at which the 'from' node's + * previous outgoing edge is stored. */ const PREV_OUT: 7 = 7; -/** The offset from a node index at which the hash of the first incoming edge is stored. */ +/** The offset from a node index at which the first incoming edge is stored. */ const FIRST_IN: 0 = 0; -/** The offset from a node index at which the hash of the first outgoing edge is stored. */ +/** The offset from a node index at which the first outgoing edge is stored. */ const FIRST_OUT: 1 = 1; -/** The offset from a node index at which the hash of the last incoming edge is stored. */ +/** The offset from a node index at which the last incoming edge is stored. */ const LAST_IN: 2 = 2; -/** The offset from a node index at which the hash of the last outgoing edge is stored. */ +/** The offset from a node index at which the last outgoing edge is stored. */ const LAST_OUT: 3 = 3; /** The upper bound above which the edge capacity should be increased. */ From efe641f4fc2c0a263c46ab7d62361a750e850494 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 7 Sep 2021 14:22:40 -0400 Subject: [PATCH 102/117] Build typemap cache incrementally and on demand --- packages/core/core/src/AdjacencyList.js | 215 +++++++++++++----------- 1 file changed, 115 insertions(+), 100 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index e66316b8596..7c77d9c776a 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -299,12 +299,8 @@ export default class AdjacencyList { #nodes: Uint32Array; /** An array of edges, with each edge occupying `EDGE_SIZE` adjacent indices. */ #edges: Uint32Array; - #typeMaps: ?{| - /** A map of node ids from => through types => to node ids. */ - from: TypeMap, - /** A map of node ids to => through types => from node ids. */ - to: TypeMap, - |}; + /** A cache of connected nodes grouped by type. */ + #typeMap: TypeMap; constructor( opts?: SerializedAdjacencyList | AdjacencyListOptions, @@ -349,6 +345,7 @@ export default class AdjacencyList { this.#nodes = nodes; this.#edges = edges; + this.#typeMap = new TypeMap(this); } /** @@ -444,31 +441,6 @@ export default class AdjacencyList { }; } - /** Create mappings from => type => to and vice versa. */ - _getOrCreateTypeMaps(): {| - from: TypeMap, - to: TypeMap, - |} { - if (this.#typeMaps) return this.#typeMaps; - let typeMaps = {from: new TypeMap(), to: new TypeMap()}; - for (let node of this.iterateNodes()) { - for (let edge of this.iterateOutgoingEdges(node)) { - let from = this.getFromNode(edge); - let to = this.getToNode(edge); - let type = this.getEdgeType(edge); - typeMaps.from.add(from, to, type); - } - for (let edge of this.iterateIncomingEdges(node)) { - let from = this.getFromNode(edge); - let to = this.getToNode(edge); - let type = this.getEdgeType(edge); - typeMaps.to.add(to, from, type); - } - } - this.#typeMaps = typeMaps; - return this.#typeMaps; - } - /** Iterate over node ids in the `AdjacencyList`. */ *iterateNodes(max: number = this.#nodes[COUNT]): Iterator { let count = 0; @@ -589,7 +561,7 @@ export default class AdjacencyList { // Finally, copy the new data arrays over to this graph. this.#nodes = copy.#nodes; this.#edges = copy.#edges; - this.#typeMaps = copy.#typeMaps; + this.#typeMap = copy.#typeMap.copyTo(this); } /** Get the first or last edge to or from the given node. */ @@ -792,8 +764,7 @@ export default class AdjacencyList { this.#edges[COUNT]++; - this.#typeMaps?.from.add(from, to, type); - this.#typeMaps?.to.add(to, from, type); + this.#typeMap.add(from, to, type); return true; } @@ -944,8 +915,7 @@ export default class AdjacencyList { this.#edges[COUNT]--; this.#edges[DELETES]++; - this.#typeMaps?.from.delete(from, to, type); - this.#typeMaps?.to.delete(to, from, type); + this.#typeMap.delete(from, to, type); } hasInboundEdges(to: NodeId): boolean { @@ -953,26 +923,20 @@ export default class AdjacencyList { } getInboundEdgesByType(to: NodeId): {|type: TEdgeType, from: NodeId|}[] { - let typeMaps = this._getOrCreateTypeMaps(); let edges = []; - if (typeMaps.to.has(to)) { - for (let [type, nodes] of typeMaps.to.get(to)) { - for (let from of nodes) { - edges.push({type: (type: any), from}); - } + for (let [type, nodes] of this.#typeMap.getConnectedTo(to)) { + for (let from of nodes) { + edges.push({type: (type: any), from}); } } return edges; } getOutboundEdgesByType(from: NodeId): {|type: TEdgeType, to: NodeId|}[] { - let typeMaps = this._getOrCreateTypeMaps(); let edges = []; - if (typeMaps.from.has(from)) { - for (let [type, nodes] of typeMaps.from.get(from)) { - for (let to of nodes) { - edges.push({type: (type: any), to}); - } + for (let [type, nodes] of this.#typeMap.getConnectedFrom(from)) { + for (let to of nodes) { + edges.push({type: (type: any), to}); } } return edges; @@ -1003,27 +967,21 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let typeMaps = this._getOrCreateTypeMaps(); - let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); let nodes = []; - if (typeMaps.from.has(from)) { - if (isAllEdgeTypes) { - for (let toSet of typeMaps.from.get(from).values()) { - nodes.push(...toSet); - } - } else if (Array.isArray(type)) { - let fromType = typeMaps.from.get(from); - for (let typeNum of type) { - let toSet = fromType.get(typeNum); - if (toSet) nodes.push(...toSet); - } - } else { - nodes.push(...typeMaps.from.getEdges(from, (type: any))); + if (isAllEdgeTypes) { + for (let toSet of this.#typeMap.getConnectedFrom(from).values()) { + nodes.push(...toSet); + } + } else if (Array.isArray(type)) { + for (let typeNum of type) { + nodes.push(...this.#typeMap.getConnectedFromType(from, typeNum)); } + } else { + nodes.push(...this.#typeMap.getConnectedFromType(from, (type: any))); } return nodes; } @@ -1039,27 +997,21 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let typeMaps = this._getOrCreateTypeMaps(); - let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); let nodes = []; - if (typeMaps.to.has(to)) { - if (isAllEdgeTypes) { - for (let fromSet of typeMaps.to.get(to).values()) { - nodes.push(...fromSet); - } - } else if (Array.isArray(type)) { - let toType = typeMaps.to.get(to); - for (let typeNum of type) { - let fromSet = toType.get(typeNum); - if (fromSet) nodes.push(...fromSet); - } - } else { - nodes.push(...typeMaps.to.getEdges(to, (type: any))); + if (isAllEdgeTypes) { + for (let fromSet of this.#typeMap.getConnectedTo(to).values()) { + nodes.push(...fromSet); + } + } else if (Array.isArray(type)) { + for (let typeNum of type) { + nodes.push(...this.#typeMap.getConnectedToType(to, typeNum)); } + } else { + nodes.push(...this.#typeMap.getConnectedToType(to, (type: any))); } return nodes; } @@ -1089,34 +1041,97 @@ export default class AdjacencyList { } } -class TypeMap { - #map: Map>> = new Map(); - add(from: NodeId, to: NodeId, type: TEdgeType): void { - let types = this.#map.get(from); - if (types == null) { - types = new Map>(); - this.#map.set(from, types); - } - let adjacent = types.get(type); - if (adjacent == null) { - adjacent = new Set(); - types.set(type, adjacent); - } - adjacent.add(to); +/** + * A cache of connected nodes grouped by type. + * + * This cache is used to speed up iterations that are grouped by type, + * such as `getEdgesConnectedFrom` and `getEdgesConnectedTo`, + * as well as `getOutboundEdgesByType` and `getInboundEdgesByType`. + */ +class TypeMap { + #data: AdjacencyList; + /** A map of node ids from => through types => to node ids. */ + #from: Map>> = new Map(); + /** A map of node ids to => through types => from node ids. */ + #to: Map>> = new Map(); + constructor(data: AdjacencyList) { + this.#data = data; + } + copyTo(data: AdjacencyList): TypeMap { + this.#data = data; + return this; } - delete(from: NodeId, to: NodeId, type: TEdgeType): void { - this.#map + add(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): void { + this.getConnectedToType(to, type).add(from); + this.getConnectedFromType(from, type).add(to); + } + delete(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): void { + this.#from .get(from) ?.get(type) ?.delete(to); + this.#to + .get(to) + ?.get(type) + ?.delete(from); + } + getConnectedTo(to: NodeId): Map> { + let toTypes = this.#to.get(to); + if (toTypes == null) { + toTypes = new Map(); + // Populate the map with existing data. + for (let edge of this.#data.iterateIncomingEdges(to)) { + let from = this.#data.getFromNode(edge); + let type = this.#data.getEdgeType(edge); + let fromSet = toTypes.get(type); + if (fromSet == null) { + fromSet = new Set(); + toTypes.set(type, fromSet); + } + fromSet.add(from); + } + this.#to.set(to, toTypes); + } + return toTypes; } - has(from: NodeId): boolean { - return this.#map.has(from); + getConnectedToType(to: NodeId, type: TEdgeType | NullEdgeType): Set { + let toTypes = this.getConnectedTo(to); + let fromSet = toTypes.get(type); + if (fromSet == null) { + fromSet = new Set(); + toTypes.set(type, fromSet); + } + return fromSet; } - get(from: NodeId): $ReadOnlyMap> { - return this.#map.get(from) ?? new Map(); + getConnectedFrom(from: NodeId): Map> { + let fromTypes = this.#from.get(from); + if (fromTypes == null) { + fromTypes = new Map(); + // Populate the map with existing data. + for (let edge of this.#data.iterateOutgoingEdges(from)) { + let to = this.#data.getToNode(edge); + let type = this.#data.getEdgeType(edge); + let toSet = fromTypes.get(type); + if (toSet == null) { + toSet = new Set(); + fromTypes.set(type, toSet); + } + toSet.add(to); + } + this.#from.set(from, fromTypes); + } + return fromTypes; } - getEdges(from: NodeId, type: TEdgeType): $ReadOnlySet { - return this.#map.get(from)?.get(type) ?? new Set(); + getConnectedFromType( + from: NodeId, + type: TEdgeType | NullEdgeType, + ): Set { + let fromTypes = this.getConnectedFrom(from); + let toSet = fromTypes.get(type); + if (toSet == null) { + toSet = new Set(); + fromTypes.set(type, toSet); + } + return toSet; } } From 96154c84566fa3c14a6c21903d96bfce78e9aaa5 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 9 Sep 2021 18:34:40 -0400 Subject: [PATCH 103/117] Update comments to reflect changes --- packages/core/core/src/AdjacencyList.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 7c77d9c776a..045d55255a5 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -68,7 +68,7 @@ export const NODES_HEADER_SIZE: 2 = 2; * └──┴──┴──┴──┴───────┴──┴──┴──┴──┴──┴──┴──┴───────┴──┴──┴──┴──┴──┴──┘ * └───┬────┘ ├─────────────────────┬─────────────────────┘ * header addressableLimit edges - * (EDGES_HEADER_SIZE) (capacity * EDGE_SIZE) + * (EDGES_HEADER_SIZE) (capacity * EDGE_SIZE * BUCKET_SIZE) * * The header for the edges array comprises 3 4-byte chunks: * The first 4 bytes store the edge capacity. From 6fa9f26d58e3d062168aa63437af801e1b751cb8 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 9 Sep 2021 18:38:59 -0400 Subject: [PATCH 104/117] Fix edge capacity stats; add buffer size stats --- packages/core/core/src/AdjacencyList.js | 26 +++++++++++++++++++++++-- 1 file changed, 24 insertions(+), 2 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 045d55255a5..903888e943d 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -376,6 +376,8 @@ export default class AdjacencyList { nodes: number, /** The maximum number of nodes the graph can contain. */ nodeCapacity: number, + /** The size of the raw nodes buffer, in mb. */ + nodeBuffer: string, /** The current load on the nodes array. */ nodeLoad: string, /** The number of edges in the graph. */ @@ -384,6 +386,8 @@ export default class AdjacencyList { deleted: number, /** The maximum number of edges the graph can contain. */ edgeCapacity: number, + /** The size of the raw edges buffer, in mb. */ + edgeBuffer: string, /** The current load on the edges array. */ edgeLoad: string, /** The total number of edge hash collisions. */ @@ -433,8 +437,26 @@ export default class AdjacencyList { collisions, nodeCapacity, nodeLoad: `${Math.round((numNodes / nodeCapacity) * 100)}%`, - edgeCapacity: edgeCapacity * 2, - edgeLoad: `${Math.round((numEdges / (edgeCapacity * 2)) * 100)}%`, + nodeBuffer: `${( + this.#nodes.buffer.byteLength / + 1024 / + 1024 + ).toLocaleString(undefined, { + minmumFractionDigits: 2, + maximumFractionDigits: 2, + })} mb`, + edgeCapacity, + edgeLoad: `${Math.round( + (numEdges / (edgeCapacity * BUCKET_SIZE)) * 100, + )}%`, + edgeBuffer: `${( + this.#edges.buffer.byteLength / + 1024 / + 1024 + ).toLocaleString(undefined, { + minmumFractionDigits: 2, + maximumFractionDigits: 2, + })} mb`, maxCollisions, avgCollisions: Math.round((collisions / buckets.size) * 100) / 100 || 0, uniformity: Math.round(uniformity * 100) / 100 || 0, From 490243e160745127a458844f03b950abad911e22 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 9 Sep 2021 18:41:11 -0400 Subject: [PATCH 105/117] Add min and max node and edge capacity checks --- packages/core/core/src/AdjacencyList.js | 30 ++++++++++++++++++++----- 1 file changed, 25 insertions(+), 5 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index 903888e943d..eff196c9f6a 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -210,11 +210,25 @@ const UNLOAD_FACTOR = 0.3; const GROW_FACTOR = 4; /** The amount by which to shrink the capacity of the edges array. */ const SHRINK_FACTOR = 0.5; -/** The smallest functional node or edge capacity. */ -const MIN_CAPACITY = 256; /** How many edges to accommodate in a hash bucket. */ const BUCKET_SIZE = 2; +/** The smallest functional node capacity. */ +const MIN_NODE_CAPACITY = 2; +/** The largest possible node capacity. */ +const MAX_NODE_CAPACITY = Math.floor( + // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong + (2 ** 31 - 1 - NODES_HEADER_SIZE) / NODE_SIZE, +); + +/** The smallest functional edge capacity. */ +const MIN_EDGE_CAPACITY = 2; +/** The largest possible edge capacity. */ +const MAX_EDGE_CAPACITY = Math.floor( + // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong + (2 ** 31 - 1 - EDGES_HEADER_SIZE) / EDGE_SIZE / BUCKET_SIZE, +); + export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; // eslint-disable-next-line no-unused-vars @@ -285,13 +299,13 @@ function getNextEdgeCapacity(capacity: number, count: number): number { // If we're in danger of overflowing the `edges` array, resize it. newCapacity = Math.floor(capacity * GROW_FACTOR); } else if ( - capacity > MIN_CAPACITY && + capacity > MIN_EDGE_CAPACITY && count / (capacity * BUCKET_SIZE) < UNLOAD_FACTOR ) { // If we've dropped below the unload threshold, resize the array down. newCapacity = Math.floor(capacity * SHRINK_FACTOR); } - return Math.max(MIN_CAPACITY, newCapacity); + return Math.max(MIN_EDGE_CAPACITY, newCapacity); } export default class AdjacencyList { @@ -324,7 +338,13 @@ export default class AdjacencyList { ); } else { // We are creating a new `AdjacencyList` from scratch. - let {nodeCapacity = 128, edgeCapacity = 256} = opts ?? {}; + let {nodeCapacity = MIN_NODE_CAPACITY, edgeCapacity = MIN_EDGE_CAPACITY} = + opts ?? {}; + + assert(nodeCapacity >= MIN_NODE_CAPACITY, 'Node capacity is too small.'); + assert(nodeCapacity <= MAX_NODE_CAPACITY, 'Node capacity is too large.'); + assert(edgeCapacity >= MIN_EDGE_CAPACITY, 'Edge capacity is too small.'); + assert(edgeCapacity <= MAX_EDGE_CAPACITY, 'Edge capacity is too large.'); // $FlowFixMe[incompatible-call] nodes = new Uint32Array( From 7167f81cd19c8f04822fa19ac21ca7455cb34dfd Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 9 Sep 2021 18:55:38 -0400 Subject: [PATCH 106/117] Ease edge growth rate as capacity increases This is intended to strike a balance between growing the edge capacity in too small increments, which causes a lot of resizing, and growing the edge capacity in too large increments, which results in a lot of wasted memory. --- packages/core/core/src/AdjacencyList.js | 61 ++++++++++++++++--------- 1 file changed, 40 insertions(+), 21 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index eff196c9f6a..cf755b89460 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -206,8 +206,10 @@ const LAST_OUT: 3 = 3; const LOAD_FACTOR = 0.7; /** The lower bound below which the edge capacity should be decreased. */ const UNLOAD_FACTOR = 0.3; -/** The amount by which to grow the capacity of the edges array. */ -const GROW_FACTOR = 4; +/** The max amount by which to grow the capacity of the edges array. */ +const MAX_GROW_FACTOR = 8; +/** The min amount by which to grow the capacity of the edges array. */ +const MIN_GROW_FACTOR = 2; /** The amount by which to shrink the capacity of the edges array. */ const SHRINK_FACTOR = 0.5; /** How many edges to accommodate in a hash bucket. */ @@ -228,6 +230,8 @@ const MAX_EDGE_CAPACITY = Math.floor( // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong (2 ** 31 - 1 - EDGES_HEADER_SIZE) / EDGE_SIZE / BUCKET_SIZE, ); +/** The size after which to grow the edge capacity by the minimum factor. */ +const PEAK_EDGE_CAPACITY = 2 ** 18; export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; @@ -289,22 +293,33 @@ function getNodesLength(nodeCapacity: number): number { return NODES_HEADER_SIZE + nodeCapacity * NODE_SIZE; } +function interpolate(x: number, y: number, t: number): number { + return x + (y - x) * Math.min(1, Math.max(0, t)); +} + function increaseNodeCapacity(nodeCapacity: number): number { - return nodeCapacity * 2; + let newCapacity = Math.round(nodeCapacity * MIN_GROW_FACTOR); + assert(newCapacity <= MAX_NODE_CAPACITY, 'Node capacity overflow!'); + return Math.max(MIN_NODE_CAPACITY, newCapacity); } function getNextEdgeCapacity(capacity: number, count: number): number { let newCapacity = capacity; - if (count / (capacity * BUCKET_SIZE) > LOAD_FACTOR) { - // If we're in danger of overflowing the `edges` array, resize it. - newCapacity = Math.floor(capacity * GROW_FACTOR); - } else if ( - capacity > MIN_EDGE_CAPACITY && - count / (capacity * BUCKET_SIZE) < UNLOAD_FACTOR - ) { - // If we've dropped below the unload threshold, resize the array down. - newCapacity = Math.floor(capacity * SHRINK_FACTOR); + let currentLoadFactor = count / (capacity * BUCKET_SIZE); + if (currentLoadFactor > LOAD_FACTOR) { + // This is intended to strike a balance between growing the edge capacity + // in too small increments, which causes a lot of resizing, and growing + // the edge capacity in too large increments, which results in a lot of + // wasted memory. + let pct = capacity / PEAK_EDGE_CAPACITY; + let growFactor = interpolate(MAX_GROW_FACTOR, MIN_GROW_FACTOR, pct); + newCapacity = Math.round(capacity * growFactor); + } else if (currentLoadFactor < UNLOAD_FACTOR) { + // In some cases, it may be possible to shrink the edge capacity, + // but this is only likely to occur when a lot of edges have been removed. + newCapacity = Math.round(capacity * SHRINK_FACTOR); } + assert(newCapacity <= MAX_EDGE_CAPACITY, 'Edge capacity overflow!'); return Math.max(MIN_EDGE_CAPACITY, newCapacity); } @@ -740,20 +755,24 @@ export default class AdjacencyList { if (this.hasEdge(from, to, type)) return false; let capacity = this.#edges[CAPACITY]; - let count = this.#edges[COUNT]; - let deletes = this.#edges[DELETES]; + // We add 1 to account for the edge we are adding. + let count = this.#edges[COUNT] + 1; // Since the space occupied by deleted edges isn't reclaimed, // we include them in our count to avoid overflowing the `edges` array. - // We also add 1 to account for the edge we are adding. - let total = count + deletes + 1; + let deletes = this.#edges[DELETES]; + let total = count + deletes; // If we have enough space to keep adding edges, we can // put off reclaiming the deleted space until the next resize. if (total / (capacity * BUCKET_SIZE) > LOAD_FACTOR) { - // Since resizing edges will effectively reclaim space - // occupied by deleted edges, we compute our new capacity - // based purely on the current count, even though we decided - // to resize based on the sum total of count and deletes. - this.resizeEdges(getNextEdgeCapacity(capacity, count)); + if (deletes / (capacity * BUCKET_SIZE) > UNLOAD_FACTOR) { + // If we have a significant number of deletes, we compute our new + // capacity based on the current count, even though we decided to + // resize based on the sum total of count and deletes. + // In this case, resizing is more like a compaction. + this.resizeEdges(getNextEdgeCapacity(capacity, count)); + } else { + this.resizeEdges(getNextEdgeCapacity(capacity, total)); + } } // Use the next available index as our new edge index. From 3fdff6fbe9bef4fd2361e71d5a61e50ce9cc349a Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 9 Sep 2021 20:18:45 -0400 Subject: [PATCH 107/117] Lazily populate typemap cache It turns out prepopulating the typemap before doing any traversal slows down the graph building process significantly, but does not make traversal any faster. --- packages/core/core/src/AdjacencyList.js | 33 ++++++++++++------------- 1 file changed, 16 insertions(+), 17 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index cf755b89460..fb758bb6b4e 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -329,7 +329,7 @@ export default class AdjacencyList { /** An array of edges, with each edge occupying `EDGE_SIZE` adjacent indices. */ #edges: Uint32Array; /** A cache of connected nodes grouped by type. */ - #typeMap: TypeMap; + #typeMap: ?TypeMap; constructor( opts?: SerializedAdjacencyList | AdjacencyListOptions, @@ -380,7 +380,6 @@ export default class AdjacencyList { this.#nodes = nodes; this.#edges = edges; - this.#typeMap = new TypeMap(this); } /** @@ -618,7 +617,7 @@ export default class AdjacencyList { // Finally, copy the new data arrays over to this graph. this.#nodes = copy.#nodes; this.#edges = copy.#edges; - this.#typeMap = copy.#typeMap.copyTo(this); + this.#typeMap = undefined; } /** Get the first or last edge to or from the given node. */ @@ -825,7 +824,7 @@ export default class AdjacencyList { this.#edges[COUNT]++; - this.#typeMap.add(from, to, type); + this.#typeMap?.add(from, to, type); return true; } @@ -976,7 +975,7 @@ export default class AdjacencyList { this.#edges[COUNT]--; this.#edges[DELETES]++; - this.#typeMap.delete(from, to, type); + this.#typeMap?.delete(from, to, type); } hasInboundEdges(to: NodeId): boolean { @@ -985,7 +984,8 @@ export default class AdjacencyList { getInboundEdgesByType(to: NodeId): {|type: TEdgeType, from: NodeId|}[] { let edges = []; - for (let [type, nodes] of this.#typeMap.getConnectedTo(to)) { + let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); + for (let [type, nodes] of typeMap.getConnectedTo(to)) { for (let from of nodes) { edges.push({type: (type: any), from}); } @@ -995,7 +995,8 @@ export default class AdjacencyList { getOutboundEdgesByType(from: NodeId): {|type: TEdgeType, to: NodeId|}[] { let edges = []; - for (let [type, nodes] of this.#typeMap.getConnectedFrom(from)) { + let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); + for (let [type, nodes] of typeMap.getConnectedFrom(from)) { for (let to of nodes) { edges.push({type: (type: any), to}); } @@ -1028,21 +1029,22 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { + let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); let nodes = []; if (isAllEdgeTypes) { - for (let toSet of this.#typeMap.getConnectedFrom(from).values()) { + for (let toSet of typeMap.getConnectedFrom(from).values()) { nodes.push(...toSet); } } else if (Array.isArray(type)) { for (let typeNum of type) { - nodes.push(...this.#typeMap.getConnectedFromType(from, typeNum)); + nodes.push(...typeMap.getConnectedFromType(from, typeNum)); } } else { - nodes.push(...this.#typeMap.getConnectedFromType(from, (type: any))); + nodes.push(...typeMap.getConnectedFromType(from, (type: any))); } return nodes; } @@ -1058,21 +1060,22 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { + let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); let isAllEdgeTypes = type === ALL_EDGE_TYPES || (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); let nodes = []; if (isAllEdgeTypes) { - for (let fromSet of this.#typeMap.getConnectedTo(to).values()) { + for (let fromSet of typeMap.getConnectedTo(to).values()) { nodes.push(...fromSet); } } else if (Array.isArray(type)) { for (let typeNum of type) { - nodes.push(...this.#typeMap.getConnectedToType(to, typeNum)); + nodes.push(...typeMap.getConnectedToType(to, typeNum)); } } else { - nodes.push(...this.#typeMap.getConnectedToType(to, (type: any))); + nodes.push(...typeMap.getConnectedToType(to, (type: any))); } return nodes; } @@ -1118,10 +1121,6 @@ class TypeMap { constructor(data: AdjacencyList) { this.#data = data; } - copyTo(data: AdjacencyList): TypeMap { - this.#data = data; - return this; - } add(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): void { this.getConnectedToType(to, type).add(from); this.getConnectedFromType(from, type).add(to); From 938e307c912e8a83f78d6540282b656e6fce9201 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 9 Sep 2021 20:21:16 -0400 Subject: [PATCH 108/117] Fix tests --- packages/core/core/src/AdjacencyList.js | 2 -- 1 file changed, 2 deletions(-) diff --git a/packages/core/core/src/AdjacencyList.js b/packages/core/core/src/AdjacencyList.js index fb758bb6b4e..3a31d65bdf4 100644 --- a/packages/core/core/src/AdjacencyList.js +++ b/packages/core/core/src/AdjacencyList.js @@ -356,9 +356,7 @@ export default class AdjacencyList { let {nodeCapacity = MIN_NODE_CAPACITY, edgeCapacity = MIN_EDGE_CAPACITY} = opts ?? {}; - assert(nodeCapacity >= MIN_NODE_CAPACITY, 'Node capacity is too small.'); assert(nodeCapacity <= MAX_NODE_CAPACITY, 'Node capacity is too large.'); - assert(edgeCapacity >= MIN_EDGE_CAPACITY, 'Edge capacity is too small.'); assert(edgeCapacity <= MAX_EDGE_CAPACITY, 'Edge capacity is too large.'); // $FlowFixMe[incompatible-call] From a6e4d9805ac674ccab9a81182ebbe806301974ac Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 14 Sep 2021 12:31:33 -0400 Subject: [PATCH 109/117] Rename getNodesConnected{To,From} to getNodeIdsConnected{To,From} This matches the naming of the corresponding methods on Graph. --- packages/core/graph/src/AdjacencyList.js | 6 +++--- packages/core/graph/src/Graph.js | 4 ++-- packages/core/graph/test/AdjacencyList.test.js | 10 +++++----- 3 files changed, 10 insertions(+), 10 deletions(-) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index 3a31d65bdf4..fe53ee6c500 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -1013,13 +1013,13 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): $ReadOnlySet { - return new Set(this.getNodesConnectedFrom(from, type)); + return new Set(this.getNodeIdsConnectedFrom(from, type)); } /** * Get the list of nodes connected from this node. */ - getNodesConnectedFrom( + getNodeIdsConnectedFrom( from: NodeId, type: | AllEdgeTypes @@ -1050,7 +1050,7 @@ export default class AdjacencyList { /** * Get the list of nodes connected to this node. */ - getNodesConnectedTo( + getNodeIdsConnectedTo( to: NodeId, type: | AllEdgeTypes diff --git a/packages/core/graph/src/Graph.js b/packages/core/graph/src/Graph.js index 471b93084dc..5fa0e3ea94b 100644 --- a/packages/core/graph/src/Graph.js +++ b/packages/core/graph/src/Graph.js @@ -115,7 +115,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return this.adjacencyList.getNodesConnectedTo(nodeId, type); + return this.adjacencyList.getNodeIdsConnectedTo(nodeId, type); } getNodeIdsConnectedFrom( @@ -124,7 +124,7 @@ export default class Graph { ): Array { this._assertHasNodeId(nodeId); - return this.adjacencyList.getNodesConnectedFrom(nodeId, type); + return this.adjacencyList.getNodeIdsConnectedFrom(nodeId, type); } // Removes node and any edges coming from or to that node diff --git a/packages/core/graph/test/AdjacencyList.test.js b/packages/core/graph/test/AdjacencyList.test.js index c4ffe54d370..c3162077185 100644 --- a/packages/core/graph/test/AdjacencyList.test.js +++ b/packages/core/graph/test/AdjacencyList.test.js @@ -57,10 +57,10 @@ describe('AdjacencyList', () => { graph.addEdge(node5, node1); graph.addEdge(node6, node1); - assert.deepEqual(graph.getNodesConnectedTo(node1), [0, 2, 3, 4, 5, 6]); + assert.deepEqual(graph.getNodeIdsConnectedTo(node1), [0, 2, 3, 4, 5, 6]); graph.removeEdge(node3, node1); - assert.deepEqual(graph.getNodesConnectedTo(node1), [0, 2, 4, 5, 6]); + assert.deepEqual(graph.getNodeIdsConnectedTo(node1), [0, 2, 4, 5, 6]); }); it('removeEdge should remove an edge of a specific type from the graph', () => { @@ -122,7 +122,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b); graph.addEdge(a, d); graph.addEdge(a, c); - assert.deepEqual(graph.getNodesConnectedFrom(a), [b, d, c]); + assert.deepEqual(graph.getNodeIdsConnectedFrom(a), [b, d, c]); }); it('addEdge should add multiple edges to a node in order', () => { @@ -135,7 +135,7 @@ describe('AdjacencyList', () => { graph.addEdge(d, b); graph.addEdge(a, d); graph.addEdge(c, b); - assert.deepEqual(graph.getNodesConnectedTo(b), [a, d, c]); + assert.deepEqual(graph.getNodeIdsConnectedTo(b), [a, d, c]); }); it('addEdge should add multiple edges of different types in order', () => { @@ -146,7 +146,7 @@ describe('AdjacencyList', () => { graph.addEdge(a, b, 1); graph.addEdge(a, b, 4); graph.addEdge(a, b, 3); - assert.deepEqual(graph.getNodesConnectedFrom(a), [b]); + assert.deepEqual(graph.getNodeIdsConnectedFrom(a), [b]); assert.deepEqual(Array.from(graph.getAllEdges()), [ {from: a, to: b, type: 1}, {from: a, to: b, type: 4}, From a14f21134b533cb5deb1dd1c75d0847cfded5012 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 14 Sep 2021 13:31:04 -0400 Subject: [PATCH 110/117] Reduce duplicate hashing in addEdge --- packages/core/graph/src/AdjacencyList.js | 20 +++++++++++++++++--- 1 file changed, 17 insertions(+), 3 deletions(-) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index fe53ee6c500..a55ddbca624 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -748,8 +748,21 @@ export default class AdjacencyList { } if (type <= 0) throw new Error(`Unsupported edge type ${0}`); + let hash = this.hash(from, to, type); + let edge = this.getLinkedEdge(hash); + while (edge) { + if ( + this.getFromNode(edge) === from && + this.getToNode(edge) === to && + this.getEdgeType(edge) === type + ) { + break; + } + edge = this.getLinkedEdge(edge, NEXT_HASH); + } + // The edge is already in the graph; do nothing. - if (this.hasEdge(from, to, type)) return false; + if (edge) return false; let capacity = this.#edges[CAPACITY]; // We add 1 to account for the edge we are adding. @@ -770,13 +783,14 @@ export default class AdjacencyList { } else { this.resizeEdges(getNextEdgeCapacity(capacity, total)); } + // We must rehash because the capacity has changed. + hash = this.hash(from, to, type); } // Use the next available index as our new edge index. - let edge = this.getNextIndex(); + edge = this.getNextIndex(); // Add our new edge to its hash bucket. - let hash = this.hash(from, to, type); let prev = this.getLinkedEdge(hash); if (prev) { let next = this.getLinkedEdge(prev, NEXT_HASH); From e047e4664ca5301edc82f0a3a1db9a71f1332644 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Tue, 14 Sep 2021 19:01:28 -0400 Subject: [PATCH 111/117] Replace string conversion with prime multiplication in hash It's benchmarking about 67% faster without any degradation in uniformity. Also fixed some tests that were assuming some things about hashing. --- packages/core/graph/src/AdjacencyList.js | 22 +++++------- .../core/graph/test/AdjacencyList.test.js | 35 ++++++++++++++----- 2 files changed, 36 insertions(+), 21 deletions(-) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index a55ddbca624..9ed0665098a 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -1099,19 +1099,15 @@ export default class AdjacencyList { * */ hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): EdgeHash { - // A crude multiplicative hash, in 3 steps: - // 1. Serialize the args into an integer that reflects the argument order, - // shifting the magnitude of each argument by the sum - // of the significant digits of the following arguments, - // .e.g., `hash(10, 24, 4) => 10244`. - // $FlowFixMe[unsafe-addition] - // $FlowFixMe[incompatible-type] - let hash = '' + from + to + type - 0; - // 2. Mix the upper bits of the integer into the lower bits. - // We do this to increase the likelihood that a change to any - // bit of the input will vary the output widely. - hash = hash32shift(hash); - // 3. Map the hash to a value modulo the edge capacity. + // Each parameter is hashed by mixing its upper bits into its lower bits to + // increase the likelihood that a change to any bit of the input will vary + // the output widely. Then we do a series of prime multiplications and + // additions to combine the hashes into one value. + let hash = 17; + hash = hash * 37 + hash32shift((from: any)); + hash = hash * 37 + hash32shift((to: any)); + hash = hash * 37 + hash32shift((type: any)); + // Finally, we map the hash to a value modulo the edge capacity. hash %= this.#edges[CAPACITY]; return hash; } diff --git a/packages/core/graph/test/AdjacencyList.test.js b/packages/core/graph/test/AdjacencyList.test.js index c3162077185..548c271b41d 100644 --- a/packages/core/graph/test/AdjacencyList.test.js +++ b/packages/core/graph/test/AdjacencyList.test.js @@ -193,10 +193,13 @@ describe('AdjacencyList', () => { }); it('addEdge should not replace a deleted edge if the edge was already added', () => { - let graph = new AdjacencyList(); // Mock hash fn to generate collisions + // $FlowFixMe[method-unbinding] + let originalHash = AdjacencyList.prototype.hash; // $FlowFixMe[cannot-write] - graph.hash = () => 1; + AdjacencyList.prototype.hash = () => 1; + + let graph = new AdjacencyList(); let n0 = graph.addNode(); let n1 = graph.addNode(); let n2 = graph.addNode(); @@ -210,26 +213,42 @@ describe('AdjacencyList', () => { graph.addEdge(n0, n1, 1); assert(!graph.serialize().edges[index]); assert(graph.stats.edges === 1); + + // $FlowFixMe[cannot-write] + AdjacencyList.prototype.hash = originalHash; }); it('addEdge should replace a deleted edge', () => { - let graph = new AdjacencyList({edgeCapacity: 2}); // Mock hash fn to generate collisions + // $FlowFixMe[method-unbinding] + let originalHash = AdjacencyList.prototype.hash; // $FlowFixMe[cannot-write] - graph.hash = () => 1; + AdjacencyList.prototype.hash = () => 1; + + let graph = new AdjacencyList(); let n0 = graph.addNode(); let n1 = graph.addNode(); - graph.addEdge(n0, n1, 1); graph.addEdge(n0, n1, 2); // $FlowFixMe[incompatible-type] let index: number = graph.indexOf(n0, n1, 2); - assert(graph.serialize().edges[index] > 0); assert(graph.serialize().edges[index]); graph.removeEdge(n0, n1, 2); assert(!graph.serialize().edges[index]); graph.addEdge(n0, n1, 2); - assert(graph.serialize().edges[index] > 0); - assert(graph.serialize().edges[index]); + // $FlowFixMe[incompatible-type] + let index2: number = graph.indexOf(n0, n1, 2); + assert(!graph.serialize().edges[index]); + assert(graph.serialize().edges[index2]); + // Resize to reclaim deleted edge space. + graph.resizeEdges(4); + // $FlowFixMe[incompatible-type] + let index3: number = graph.indexOf(n0, n1, 2); + assert(!graph.serialize().edges[index]); + assert(!graph.serialize().edges[index2]); + assert(graph.serialize().edges[index3]); + + // $FlowFixMe[cannot-write] + AdjacencyList.prototype.hash = originalHash; }); describe('deserialize', function() { From 18b832be75ef74df8c8b3f0832ef3f96e12bc702 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Wed, 22 Sep 2021 18:16:23 -0400 Subject: [PATCH 112/117] Refactor nodes and edges into type maps This looks like a big change because a lot of stuff moved around. The edges are currently stored the same way they were before, but the hash table implementation has been extracted for use in the new node map. The node map is where the real change is; instead of just linking nodes to addresses in the edge map, it now stores multiple sets of links per node, one for each type of edge. This allows us to eliminate the need for a type map cache, as we are now able to look up edges by type in constant time. --- packages/core/graph/src/AdjacencyList.js | 1809 +++++++++-------- .../core/graph/test/AdjacencyList.test.js | 76 +- .../adjacency-list-shared-array.js | 10 +- 3 files changed, 942 insertions(+), 953 deletions(-) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index 9ed0665098a..bcb292a43b2 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -1,241 +1,18 @@ // @flow import assert from 'assert'; +import nullthrows from 'nullthrows'; import {fromNodeId, toNodeId} from './types'; import type {NullEdgeType, AllEdgeTypes} from './Graph'; import type {NodeId} from './types'; -/** - * Nodes are stored in a shared array buffer of fixed length - * equal to the node `capacity * NODE_SIZE + NODES_HEADER_SIZE`. - * - * nodes - * (capacity * NODE_SIZE) - * ┌────────────────┴──────────────┐ - * ┌──┬──┬──┬──┬──┬──┬───────┬──┬──┬──┬──┐ - * │ │ │ │ │ │ │ ... │ │ │ │ │ - * └──┴──┴──┴──┴──┴──┴───────┴──┴──┴──┴──┘ - * └──┬──┘ └─────┬─────┘ - * header node - * (NODES_HEADER_SIZE) (NODE_SIZE) - * - * The header for the nodes array comprises 2 4-byte chunks: - * The first 4 bytes store the node capacity. - * The second 4 bytes store the number of nodes in the adjacency list. - - * struct NodesHeader { - * int capacity; - * int count; - * } - * - * ┌────────────────────────┐ - * │ NODES_HEADER_SIZE │ - * ├────────────┬───────────┤ - * │ CAPACITY │ COUNT │ - * └────────────┴───────────┘ - * - * Each node is represented with 4 4-byte chunks: - * The first 4 bytes are the hash of the node's first incoming edge. - * The second 4 bytes are the hash of the node's first outgoing edge. - * The second 4 bytes are the hash of the node's last incoming edge. - * The second 4 bytes are the hash of the node's last outgoing edge. - * - * struct Node { - * int firstIn; - * int firstOut; - * int lastIn; - * int lastOut; - * } - * - * ┌─────────────────────────────────────────────────┐ - * │ NODE_SIZE │ - * ├────────────┬───────────┬───────────┬────────────┤ - * │ FIRST_IN │ FIRST_OUT │ LAST_IN │ LAST_OUT │ - * └────────────┴───────────┘───────────┴────────────┘ - */ -export const NODE_SIZE: 4 = 4; -/** The size of nodes array header */ -export const NODES_HEADER_SIZE: 2 = 2; +/** The address of the node in the nodes map. */ +opaque type NodeAddress = number; -/** - * Edges are stored in a shared array buffer of fixed length - * equal to the edge `capacity + capacity * EDGE_SIZE + EDGES_HEADER_SIZE`. - * - * hash table edge - * (capacity) (EDGE_SIZE) - * ┌──────┴──────┐ ┌────────┴────────┐ - * ┌──┬──┬──┬──┬───────┬──┬──┬──┬──┬──┬──┬──┬───────┬──┬──┬──┬──┬──┬──┐ - * │ │ │ │ │ ... │ │ │ │ │ │ │ │ ... │ │ │ │ │ │ │ - * └──┴──┴──┴──┴───────┴──┴──┴──┴──┴──┴──┴──┴───────┴──┴──┴──┴──┴──┴──┘ - * └───┬────┘ ├─────────────────────┬─────────────────────┘ - * header addressableLimit edges - * (EDGES_HEADER_SIZE) (capacity * EDGE_SIZE * BUCKET_SIZE) - * - * The header for the edges array comprises 3 4-byte chunks: - * The first 4 bytes store the edge capacity. - * The second 4 bytes store the number of edges in the adjacency list. - * The third 4 bytes store the number of deleted edges. - * - * struct NodesHeader { - * int capacity; - * int count; - * int deletes; - * } - * - * ┌────────────────────────────────────┐ - * │ EDGES_HEADER_SIZE │ - * ├────────────┬───────────┬───────────┤ - * │ CAPACITY │ COUNT │ DELETES │ - * └────────────┴───────────┴───────────┘ - * - * Each edge is represented with 8 4-byte chunks: - * The first 4 bytes are the edge type. - * The second 4 bytes are the id of the 'from' node. - * The third 4 bytes are the id of the 'to' node. - * The fourth 4 bytes are the index of the next edge in the bucket of hash collisions. - * The fifth 4 bytes are the hash of the 'to' node's next incoming edge. - * The sixth 4 bytes are the hash of the 'to' node's previous incoming edge. - * The seventh 4 bytes are the hash of the 'from' node's next outgoing edge. - * The eighth 4 bytes are the hash of the 'from' node's previous outgoing edge. - * - * struct Edge { - * int type; - * int from; - * int to; - * int nextHash; - * int nextIn; - * int prevIn; - * int nextOut; - * int prevOut; - * } - * - * ┌────────────────────────────────────────────────────────────────────────┐ - * │ EDGE_SIZE │ - * ├──────┬──────┬────┬───────────┬─────────┬─────────┬──────────┬──────────┤ - * │ TYPE │ FROM │ TO │ NEXT_HASH │ NEXT_IN │ PREV_IN │ NEXT_OUT │ PREV_OUT │ - * └──────┴──────┴────┴───────────┴─────────┴─────────┴──────────┴──────────┘ - * - * Nodes and Edges create a doubly linked list of edges to and from each node. - * - * For example, 3 edges from node 0 to 1 are linked thusly: - * - * ┌───────┐ - * │ Node0 │ - * ┌───────┴───┬───┴───────┐ - * ┌─────│FirstOut(1)│LastOut(3) │─────┐ - * ▼ └───────────┴───────────┘ ▼ - * ┌───────┐ ┌───────┐ ┌───────┐ - * ┌─▶│ Edge1 │◀──┐ ┌──▶│ Edge2 │◀──┐ ┌──▶│ Edge3 │◀─┐ - * │┌─┴───────┴─┐ │ │ ┌─┴───────┴─┐ │ │ ┌─┴───────┴─┐│ - * ││ NextIn(2) │─│─┤ │ NextIn(3) │─│─┤ │ NextIn(0) ││ - * │├───────────┤ │ │ ├───────────┤ │ │ ├───────────┤│ - * ││ PrevIn(0) │ ├───│ PrevIn(1) │ ├───│ PrevIn(2) ││ - * │├───────────┤ │ │ ├───────────┤ │ │ ├───────────┤│ - * ││NextOut(2) │─│─┘ │NextOut(3) │─│─┘ │NextOut(0) ││ - * │├───────────┤ │ ├───────────┤ │ ├───────────┤│ - * ││PrevOut(0) │ └───│PrevOut(1) │ └───│PrevOut(2) ││ - * │└───────────┘ └───────────┘ └───────────┘│ - * │ ┌───────────┬───────────┐ │ - * └────────────│FirstIn(1) │ LastIn(3) │────────────┘ - * └───────┬───┴───┬───────┘ - * │ Node1 │ - * └───────┘ - * - * To traverse the outgoing edges of `Node0`, you start with `FirstOut(1)`, - * which points to `Edge1`. Then follow the link to `Edge2` via `NextOut(2)`. - * Then follow the link to `Edge3` via `NextOut(3)`, and so on. - * - * The incoming edges to `Node1` are similar, but starting from - * `FirstIn(1)` and following the `NextIn()` links instead. - * - * Edges may be traversed in reverse order by starting from `LastIn(1)` - * or `LastOut(1)` and following the `PrevIn()` or `PrevOut()` links. - */ -export const EDGE_SIZE: 8 = 8; -/** The size of the edges array header */ -export const EDGES_HEADER_SIZE: 3 = 3; - -/** The offset from the header where the capacity is stored. */ -const CAPACITY: 0 = 0; -/** The offset from the header where the count is stored. */ -const COUNT: 1 = 1; -/** The offset from the header where the delete count is stored. */ -const DELETES: 2 = 2; - -/** The offset from an edge index at which the edge type is stored. */ -const TYPE: 0 = 0; -/** The offset from an edge index at which the 'from' node id is stored. */ -const FROM: 1 = 1; -/** The offset from an edge index at which the 'to' node id is stored. */ -const TO: 2 = 2; -/** - * The offset from an edge index at which - * the next edge in the chain of hash collisions is stored - */ -const NEXT_HASH: 3 = 3; -/** - * The offset from an edge index at which the 'to' node's - * next incoming edge is stored. - */ -const NEXT_IN: 4 = 4; -/** - * The offset from an edge index at which the 'to' node's - * previous incoming edge is stored. - */ -const PREV_IN: 5 = 5; -/** - * The offset from an edge index at which the 'from' node's - * next outgoing edge is stored. - */ -const NEXT_OUT: 6 = 6; -/** - * The offset from an edge index at which the 'from' node's - * previous outgoing edge is stored. - */ -const PREV_OUT: 7 = 7; - -/** The offset from a node index at which the first incoming edge is stored. */ -const FIRST_IN: 0 = 0; -/** The offset from a node index at which the first outgoing edge is stored. */ -const FIRST_OUT: 1 = 1; -/** The offset from a node index at which the last incoming edge is stored. */ -const LAST_IN: 2 = 2; -/** The offset from a node index at which the last outgoing edge is stored. */ -const LAST_OUT: 3 = 3; - -/** The upper bound above which the edge capacity should be increased. */ -const LOAD_FACTOR = 0.7; -/** The lower bound below which the edge capacity should be decreased. */ -const UNLOAD_FACTOR = 0.3; -/** The max amount by which to grow the capacity of the edges array. */ -const MAX_GROW_FACTOR = 8; -/** The min amount by which to grow the capacity of the edges array. */ -const MIN_GROW_FACTOR = 2; -/** The amount by which to shrink the capacity of the edges array. */ -const SHRINK_FACTOR = 0.5; -/** How many edges to accommodate in a hash bucket. */ -const BUCKET_SIZE = 2; - -/** The smallest functional node capacity. */ -const MIN_NODE_CAPACITY = 2; -/** The largest possible node capacity. */ -const MAX_NODE_CAPACITY = Math.floor( - // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong - (2 ** 31 - 1 - NODES_HEADER_SIZE) / NODE_SIZE, -); - -/** The smallest functional edge capacity. */ -const MIN_EDGE_CAPACITY = 2; -/** The largest possible edge capacity. */ -const MAX_EDGE_CAPACITY = Math.floor( - // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong - (2 ** 31 - 1 - EDGES_HEADER_SIZE) / EDGE_SIZE / BUCKET_SIZE, -); -/** The size after which to grow the edge capacity by the minimum factor. */ -const PEAK_EDGE_CAPACITY = 2 ** 18; +opaque type EdgeHash = number; -export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; +/** The address of the edge in the edges map. */ +opaque type EdgeAddress = number; -// eslint-disable-next-line no-unused-vars export type SerializedAdjacencyList = {| nodes: Uint32Array, edges: Uint32Array, @@ -247,137 +24,51 @@ export type AdjacencyListOptions = {| nodeCapacity?: number, |}; -opaque type EdgeHash = number; - -/** The index of the edge in the edges array. */ -opaque type EdgeIndex = number; - -// From https://gist.github.com/badboy/6267743#32-bit-mix-functions -function hash32shift(key: number): number { - key = ~key + (key << 15); // key = (key << 15) - key - 1; - key = key ^ (key >> 12); - key = key + (key << 2); - key = key ^ (key >> 4); - key = key * 2057; // key = (key + (key << 3)) + (key << 11); - key = key ^ (key >> 16); - return key; -} - -/** Get the index in the hash table for the given hash. */ -function hashToIndex(hash: EdgeHash) { - return hash + EDGES_HEADER_SIZE; -} - -/** Get the id of the node at the given index in the nodes array. */ -function nodeAt(index: number): NodeId { - index -= NODES_HEADER_SIZE; - return toNodeId((index - (index % NODE_SIZE)) / NODE_SIZE); -} - -/** Get the index in the nodes array of the given node. */ -function indexOfNode(id: NodeId): number { - return NODES_HEADER_SIZE + fromNodeId(id) * NODE_SIZE; -} - -function getAddressableLimit(edgeCapacity: number): number { - return EDGES_HEADER_SIZE + edgeCapacity; -} - -function getEdgesLength(edgeCapacity: number): number { - return ( - getAddressableLimit(edgeCapacity) + edgeCapacity * EDGE_SIZE * BUCKET_SIZE - ); -} - -function getNodesLength(nodeCapacity: number): number { - return NODES_HEADER_SIZE + nodeCapacity * NODE_SIZE; -} - -function interpolate(x: number, y: number, t: number): number { - return x + (y - x) * Math.min(1, Math.max(0, t)); -} - -function increaseNodeCapacity(nodeCapacity: number): number { - let newCapacity = Math.round(nodeCapacity * MIN_GROW_FACTOR); - assert(newCapacity <= MAX_NODE_CAPACITY, 'Node capacity overflow!'); - return Math.max(MIN_NODE_CAPACITY, newCapacity); -} +export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; -function getNextEdgeCapacity(capacity: number, count: number): number { - let newCapacity = capacity; - let currentLoadFactor = count / (capacity * BUCKET_SIZE); - if (currentLoadFactor > LOAD_FACTOR) { - // This is intended to strike a balance between growing the edge capacity - // in too small increments, which causes a lot of resizing, and growing - // the edge capacity in too large increments, which results in a lot of - // wasted memory. - let pct = capacity / PEAK_EDGE_CAPACITY; - let growFactor = interpolate(MAX_GROW_FACTOR, MIN_GROW_FACTOR, pct); - newCapacity = Math.round(capacity * growFactor); - } else if (currentLoadFactor < UNLOAD_FACTOR) { - // In some cases, it may be possible to shrink the edge capacity, - // but this is only likely to occur when a lot of edges have been removed. - newCapacity = Math.round(capacity * SHRINK_FACTOR); - } - assert(newCapacity <= MAX_EDGE_CAPACITY, 'Edge capacity overflow!'); - return Math.max(MIN_EDGE_CAPACITY, newCapacity); -} +/** The upper bound above which capacity should be increased. */ +const LOAD_FACTOR = 0.7; +/** The lower bound below which capacity should be decreased. */ +const UNLOAD_FACTOR = 0.3; +/** The max amount by which to grow the capacity. */ +const MAX_GROW_FACTOR = 8; +/** The min amount by which to grow the capacity. */ +const MIN_GROW_FACTOR = 2; +/** The amount by which to shrink the capacity. */ +const SHRINK_FACTOR = 0.5; export default class AdjacencyList { - /** An array of nodes, with each node occupying `NODE_SIZE` adjacent indices. */ - #nodes: Uint32Array; - /** An array of edges, with each edge occupying `EDGE_SIZE` adjacent indices. */ - #edges: Uint32Array; - /** A cache of connected nodes grouped by type. */ - #typeMap: ?TypeMap; + #nodes: NodeTypeMap; + #edges: EdgeTypeMap; constructor( - opts?: SerializedAdjacencyList | AdjacencyListOptions, + opts?: + | SerializedAdjacencyList + | AdjacencyListOptions, ) { let nodes; let edges; if (opts?.nodes) { - // We were given a serialized adjacency list, - // so we just do a quick check of the data integrity - // and then initialize the `AdjacencyList`. ({nodes, edges} = opts); + this.#nodes = new NodeTypeMap(nodes); + this.#edges = new EdgeTypeMap(edges); + } else { + let { + nodeCapacity = NodeTypeMap.MIN_CAPACITY, + edgeCapacity = EdgeTypeMap.MIN_CAPACITY, + } = opts ?? {}; assert( - getNodesLength(nodes[CAPACITY]) === nodes.length, - 'Node data appears corrupt.', + nodeCapacity <= NodeTypeMap.MAX_CAPACITY, + 'Node capacity overflow!', ); - assert( - getEdgesLength(edges[CAPACITY]) === edges.length, - 'Edge data appears corrupt.', + edgeCapacity <= EdgeTypeMap.MAX_CAPACITY, + 'Edge capacity overflow!', ); - } else { - // We are creating a new `AdjacencyList` from scratch. - let {nodeCapacity = MIN_NODE_CAPACITY, edgeCapacity = MIN_EDGE_CAPACITY} = - opts ?? {}; - - assert(nodeCapacity <= MAX_NODE_CAPACITY, 'Node capacity is too large.'); - assert(edgeCapacity <= MAX_EDGE_CAPACITY, 'Edge capacity is too large.'); - - // $FlowFixMe[incompatible-call] - nodes = new Uint32Array( - new SharedArrayBuffer( - getNodesLength(nodeCapacity) * Uint32Array.BYTES_PER_ELEMENT, - ), - ); - nodes[CAPACITY] = nodeCapacity; - - // $FlowFixMe[incompatible-call] - edges = new Uint32Array( - new SharedArrayBuffer( - getEdgesLength(edgeCapacity) * Uint32Array.BYTES_PER_ELEMENT, - ), - ); - edges[CAPACITY] = edgeCapacity; + this.#nodes = new NodeTypeMap(nodeCapacity); + this.#edges = new EdgeTypeMap(edgeCapacity); } - - this.#nodes = nodes; - this.#edges = edges; } /** @@ -394,22 +85,20 @@ export default class AdjacencyList { */ serialize(): SerializedAdjacencyList { return { - nodes: this.#nodes, - edges: this.#edges, + nodes: this.#nodes.data, + edges: this.#edges.data, }; } - get addressableLimit(): number { - return getAddressableLimit(this.#edges[CAPACITY]); - } - get stats(): {| /** The number of nodes in the graph. */ nodes: number, + /** The number of edge types associated with nodes in the graph. */ + nodeEdgeTypes: number, /** The maximum number of nodes the graph can contain. */ nodeCapacity: number, /** The size of the raw nodes buffer, in mb. */ - nodeBuffer: string, + nodeBufferSize: string, /** The current load on the nodes array. */ nodeLoad: string, /** The number of edges in the graph. */ @@ -419,7 +108,9 @@ export default class AdjacencyList { /** The maximum number of edges the graph can contain. */ edgeCapacity: number, /** The size of the raw edges buffer, in mb. */ - edgeBuffer: string, + edgeBufferSize: string, + /** The current load on the edges array, including deletes. */ + edgeLoadWithDeletes: string, /** The current load on the edges array. */ edgeLoad: string, /** The total number of edge hash collisions. */ @@ -433,7 +124,7 @@ export default class AdjacencyList { |} { let buckets = new Map(); for (let {from, to, type} of this.getAllEdges()) { - let hash = this.hash(from, to, type); + let hash = this.#edges.hash(from, to, type); let bucket = buckets.get(hash) || new Set(); let key = `${String(from)}, ${String(to)}, ${String(type)}`; assert(!bucket.has(key), `Duplicate node detected: ${key}`); @@ -451,108 +142,34 @@ export default class AdjacencyList { distribution += (bucket.size * (bucket.size + 1)) / 2; } - let numNodes = this.#nodes[COUNT]; - let nodeCapacity = this.#nodes[CAPACITY]; - - let numEdges = this.#edges[COUNT]; - let numDeletedEdges = this.#edges[DELETES]; - let edgeCapacity = this.#edges[CAPACITY]; - let uniformity = distribution / - ((numEdges / (2 * edgeCapacity)) * (numEdges + 2 * edgeCapacity - 1)); + ((this.#edges.count / (2 * this.#edges.capacity)) * + (this.#edges.count + 2 * this.#edges.capacity - 1)); return { - nodes: numNodes, - edges: numEdges, - deleted: numDeletedEdges, - collisions, - nodeCapacity, - nodeLoad: `${Math.round((numNodes / nodeCapacity) * 100)}%`, - nodeBuffer: `${( - this.#nodes.buffer.byteLength / - 1024 / - 1024 - ).toLocaleString(undefined, { - minmumFractionDigits: 2, - maximumFractionDigits: 2, - })} mb`, - edgeCapacity, - edgeLoad: `${Math.round( - (numEdges / (edgeCapacity * BUCKET_SIZE)) * 100, + nodes: fromNodeId(this.#nodes.nextId), + nodeEdgeTypes: this.#nodes.count, + nodeCapacity: this.#nodes.capacity, + nodeLoad: `${Math.round(this.#nodes.load * 100)}%`, + nodeBufferSize: this.#nodes.bufferSize, + + edges: this.#edges.count, + deleted: this.#edges.deletes, + edgeCapacity: this.#edges.capacity, + edgeLoad: `${Math.round(this.#edges.load * 100)}%`, + edgeLoadWithDeletes: `${Math.round( + this.#edges.getLoad(this.#edges.count + this.#edges.deletes) * 100, )}%`, - edgeBuffer: `${( - this.#edges.buffer.byteLength / - 1024 / - 1024 - ).toLocaleString(undefined, { - minmumFractionDigits: 2, - maximumFractionDigits: 2, - })} mb`, + edgeBufferSize: this.#edges.bufferSize, + + collisions, maxCollisions, avgCollisions: Math.round((collisions / buckets.size) * 100) / 100 || 0, uniformity: Math.round(uniformity * 100) / 100 || 0, }; } - /** Iterate over node ids in the `AdjacencyList`. */ - *iterateNodes(max: number = this.#nodes[COUNT]): Iterator { - let count = 0; - let len = this.#nodes.length; - for (let i = NODES_HEADER_SIZE; i < len; i += NODE_SIZE) { - if (count++ >= max) break; - yield nodeAt(i); - } - } - - /** Iterate over outgoing edge hashes from the given `nodeId` the `AdjacencyList`. */ - *iterateOutgoingEdges(nodeId: NodeId): Iterator { - let edge = this.getEdge(nodeId, FIRST_OUT); - while (edge) { - yield edge; - edge = this.getLinkedEdge(edge, NEXT_OUT); - } - } - - /** Iterate over incoming edge hashes to the given `nodeId` the `AdjacencyList`. */ - *iterateIncomingEdges(nodeId: NodeId): Iterator { - let edge = this.getEdge(nodeId, FIRST_IN); - while (edge) { - yield edge; - edge = this.getLinkedEdge(edge, NEXT_IN); - } - } - - /** Check that the edge exists in the `AdjacencyList`. */ - edgeExists(edge: EdgeIndex): boolean { - let type = (this.#edges[edge + TYPE]: any); - return Boolean(type); - } - - /** Gets the original hash of the given edge */ - getHash(edge: EdgeIndex): EdgeHash { - return this.hash( - this.getFromNode(edge), - this.getToNode(edge), - this.getEdgeType(edge), - ); - } - - /** Get the type of the given edge. */ - getEdgeType(edge: EdgeIndex): TEdgeType { - return (this.#edges[edge + TYPE]: any); - } - - /** Get the node id the given edge originates from */ - getFromNode(edge: EdgeIndex): NodeId { - return toNodeId(this.#edges[edge + FROM]); - } - - /** Get the node id the given edge terminates to. */ - getToNode(edge: EdgeIndex): NodeId { - return toNodeId(this.#edges[edge + TO]); - } - /** * Resize the internal nodes array. * @@ -561,16 +178,10 @@ export default class AdjacencyList { */ resizeNodes(size: number) { let nodes = this.#nodes; - // Allocate the required space for a `nodes` array of the given `size`. - // $FlowFixMe[incompatible-call] - this.#nodes = new Uint32Array( - new SharedArrayBuffer( - getNodesLength(size) * Uint32Array.BYTES_PER_ELEMENT, - ), - ); + // Allocate the required space for a `nodes` map of the given `size`. + this.#nodes = new NodeTypeMap(size); // Copy the existing nodes into the new array. - this.#nodes.set(nodes); - this.#nodes[CAPACITY] = size; + this.#nodes.set(nodes.data); } /** @@ -580,134 +191,35 @@ export default class AdjacencyList { * the allocated size of the `edges` array. */ resizeEdges(size: number) { - // Allocate the required space for new `nodes` and `edges` arrays. + // Allocate the required space for new `nodes` and `edges` maps. let copy = new AdjacencyList({ - nodeCapacity: this.#nodes[CAPACITY], + nodeCapacity: this.#nodes.capacity, edgeCapacity: size, }); - copy.#nodes[COUNT] = this.#nodes[COUNT]; // Copy the existing edges into the new array. - let max = this.#nodes[COUNT]; - let count = 0; - let len = this.#nodes.length; - for (let i = NODES_HEADER_SIZE; i < len; i += NODE_SIZE) { - if (count++ >= max) break; - let edge = this.getEdge(nodeAt(i), FIRST_OUT); - while (edge) { - copy.addEdge( - this.getFromNode(edge), - this.getToNode(edge), - this.getEdgeType(edge), - ); - edge = this.getLinkedEdge(edge, NEXT_OUT); - } - } + let max = fromNodeId(this.#nodes.nextId); + copy.#nodes.nextId = this.#nodes.nextId; + this.#edges.forEach( + edge => + void copy.addEdge( + this.#edges.from(edge), + this.#edges.to(edge), + this.#edges.typeOf(edge), + ), + ); // We expect to preserve the same number of edges. assert( - this.#edges[COUNT] === copy.#edges[COUNT], - `Edge mismatch! ${this.#edges[COUNT]} does not match ${ - copy.#edges[COUNT] + this.#edges.count === copy.#edges.count, + `Edge mismatch! ${this.#edges.count} does not match ${ + copy.#edges.count }.`, ); // Finally, copy the new data arrays over to this graph. this.#nodes = copy.#nodes; this.#edges = copy.#edges; - this.#typeMap = undefined; - } - - /** Get the first or last edge to or from the given node. */ - getEdge( - node: NodeId, - direction: - | typeof FIRST_IN - | typeof FIRST_OUT - | typeof LAST_IN - | typeof LAST_OUT, - ): EdgeIndex | null { - let edge = this.#nodes[indexOfNode(node) + direction]; - return edge ? edge : null; - } - - /** Set the first or last edge to or from the given node. */ - setEdge( - node: NodeId, - edge: EdgeIndex | null, - direction: - | typeof FIRST_IN - | typeof FIRST_OUT - | typeof LAST_IN - | typeof LAST_OUT, - ) { - this.#nodes[indexOfNode(node) + direction] = edge ?? 0; - } - - linkEdge( - prev: EdgeHash | EdgeIndex, - edge: EdgeIndex, - direction?: - | typeof NEXT_HASH - | typeof NEXT_IN - | typeof PREV_IN - | typeof NEXT_OUT - | typeof PREV_OUT, - ): void { - if (direction) { - this.#edges[prev + direction] = edge; - } else { - this.#edges[hashToIndex(prev)] = edge; - } - } - - unlinkEdge( - prev: EdgeHash | EdgeIndex, - direction?: - | typeof NEXT_HASH - | typeof NEXT_IN - | typeof PREV_IN - | typeof NEXT_OUT - | typeof PREV_OUT, - ): void { - if (direction) { - this.#edges[prev + direction] = 0; - } else { - this.#edges[hashToIndex(prev)] = 0; - } - } - - /** Get the edge this `edge` links to in the given direction. */ - getLinkedEdge( - prev: EdgeHash | EdgeIndex | null, - direction?: - | typeof NEXT_HASH - | typeof NEXT_IN - | typeof PREV_IN - | typeof NEXT_OUT - | typeof PREV_OUT, - ): EdgeIndex | null { - if (prev === null) return null; - if (direction) { - return this.#edges[prev + direction] || null; - } else { - return this.#edges[hashToIndex(prev)] || null; - } - } - - /** Find the edge linked to the given `edge`. */ - findEdgeBefore( - edge: EdgeIndex, - direction: typeof NEXT_HASH, - ): EdgeIndex | null { - let candidate = this.getLinkedEdge(this.getHash(edge)); - if (edge === candidate) return null; - while (candidate) { - let next = this.getLinkedEdge(candidate, direction); - if (next === edge) return candidate; - candidate = next; - } - return null; } /** @@ -716,17 +228,12 @@ export default class AdjacencyList { * Returns the id of the added node. */ addNode(): NodeId { - let id = this.#nodes[COUNT]; - this.#nodes[COUNT]++; + let id = this.#nodes.getId(); // If we're in danger of overflowing the `nodes` array, resize it. - if (this.#nodes[COUNT] >= this.#nodes[CAPACITY]) { - // The size of `nodes` doubles every time we reach the current capacity. - // This means in the worst case, we will have `O(n - 1)` _extra_ - // space allocated where `n` is a number nodes that is 1 more - // than the previous capacity. - this.resizeNodes(increaseNodeCapacity(this.#nodes[CAPACITY])); + if (this.#nodes.load > LOAD_FACTOR) { + this.resizeNodes(increaseNodeCapacity(this.#nodes.capacity)); } - return toNodeId(id); + return id; } /** @@ -740,148 +247,80 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - if (fromNodeId(from) < 0 || fromNodeId(from) >= this.#nodes[COUNT]) { - throw new Error(`Unknown node ${String(from)}`); - } - if (fromNodeId(to) < 0 || fromNodeId(to) >= this.#nodes[COUNT]) { - throw new Error(`Unknown node ${String(to)}`); - } - if (type <= 0) throw new Error(`Unsupported edge type ${0}`); + assert(type > 0, `Unsupported edge type ${0}`); - let hash = this.hash(from, to, type); - let edge = this.getLinkedEdge(hash); - while (edge) { - if ( - this.getFromNode(edge) === from && - this.getToNode(edge) === to && - this.getEdgeType(edge) === type - ) { - break; - } - edge = this.getLinkedEdge(edge, NEXT_HASH); - } + let hash = this.#edges.hash(from, to, type); + let edge = this.#edges.addressOf(hash, from, to, type); // The edge is already in the graph; do nothing. - if (edge) return false; + if (edge !== null) return false; - let capacity = this.#edges[CAPACITY]; + let capacity = this.#edges.capacity; // We add 1 to account for the edge we are adding. - let count = this.#edges[COUNT] + 1; + let count = this.#edges.count + 1; // Since the space occupied by deleted edges isn't reclaimed, // we include them in our count to avoid overflowing the `edges` array. - let deletes = this.#edges[DELETES]; + let deletes = this.#edges.deletes; let total = count + deletes; // If we have enough space to keep adding edges, we can // put off reclaiming the deleted space until the next resize. - if (total / (capacity * BUCKET_SIZE) > LOAD_FACTOR) { - if (deletes / (capacity * BUCKET_SIZE) > UNLOAD_FACTOR) { + if (this.#edges.getLoad(total) > LOAD_FACTOR) { + if (this.#edges.getLoad(deletes) > UNLOAD_FACTOR) { // If we have a significant number of deletes, we compute our new // capacity based on the current count, even though we decided to // resize based on the sum total of count and deletes. // In this case, resizing is more like a compaction. - this.resizeEdges(getNextEdgeCapacity(capacity, count)); + this.resizeEdges( + getNextEdgeCapacity(capacity, count, this.#edges.getLoad(count)), + ); } else { - this.resizeEdges(getNextEdgeCapacity(capacity, total)); + this.resizeEdges( + getNextEdgeCapacity(capacity, total, this.#edges.getLoad(total)), + ); } // We must rehash because the capacity has changed. - hash = this.hash(from, to, type); + hash = this.#edges.hash(from, to, type); } - // Use the next available index as our new edge index. - edge = this.getNextIndex(); - - // Add our new edge to its hash bucket. - let prev = this.getLinkedEdge(hash); - if (prev) { - let next = this.getLinkedEdge(prev, NEXT_HASH); - while (next) { - prev = next; - next = this.getLinkedEdge(next, NEXT_HASH); + let toNode = this.#nodes.addressOf(to, type); + let fromNode = this.#nodes.addressOf(from, type); + if (toNode === null || fromNode === null) { + // If we're in danger of overflowing the `nodes` array, resize it. + if (this.#nodes.load >= LOAD_FACTOR) { + this.resizeNodes(increaseNodeCapacity(this.#nodes.capacity)); + // We need to update our indices since the `nodes` array has changed. + toNode = this.#nodes.addressOf(to, type); + fromNode = this.#nodes.addressOf(from, type); } - - this.linkEdge(prev, edge, NEXT_HASH); - } else { - // This is the first edge in the bucket! - this.linkEdge(hash, edge); } + if (toNode === null) toNode = this.#nodes.add(to, type); + if (fromNode === null) fromNode = this.#nodes.add(from, type); - this.#edges[edge + TYPE] = type; - this.#edges[edge + FROM] = fromNodeId(from); - this.#edges[edge + TO] = fromNodeId(to); - - let firstIncoming = this.getEdge(to, FIRST_IN); - let lastIncoming = this.getEdge(to, LAST_IN); - let firstOutgoing = this.getEdge(from, FIRST_OUT); - let lastOutgoing = this.getEdge(from, LAST_OUT); - - // If the `to` node has incoming edges, link the last edge to this one. - if (lastIncoming) { - this.linkEdge(lastIncoming, edge, NEXT_IN); - this.linkEdge(edge, lastIncoming, PREV_IN); - } - // Set this edge as the last incoming edge to the `to` node. - this.setEdge(to, edge, LAST_IN); - // If the `to` node has no incoming edges, set this edge as the first one. - if (!firstIncoming) this.setEdge(to, edge, FIRST_IN); - - // If the `from` node has outgoing edges, link the last edge to this one. - if (lastOutgoing) { - this.linkEdge(lastOutgoing, edge, NEXT_OUT); - this.linkEdge(edge, lastOutgoing, PREV_OUT); - } - // Set this edge as the last outgoing edge from the `from` node. - this.setEdge(from, edge, LAST_OUT); - // If the `from` node has no outgoing edges, set this edge as the first one. - if (!firstOutgoing) this.setEdge(from, edge, FIRST_OUT); + // Add our new edge to its hash bucket. + edge = this.#edges.add(hash, from, to, type); - this.#edges[COUNT]++; + // Link this edge to the node's list of incoming edges. + let prevIn = this.#nodes.linkIn(toNode, edge); + if (prevIn !== null) this.#edges.linkIn(prevIn, edge); - this.#typeMap?.add(from, to, type); + // Link this edge to the node's list of outgoing edges. + let prevOut = this.#nodes.linkOut(fromNode, edge); + if (prevOut !== null) this.#edges.linkOut(prevOut, edge); return true; } - /** - * Get the index of the edge connecting the `from` and `to` nodes. - * - * If an edge connecting `from` and `to` does not exist, returns `-1`. - */ - indexOf( - from: NodeId, - to: NodeId, - type: TEdgeType | NullEdgeType = 1, - ): EdgeIndex { - let hash = this.hash(from, to, type); - let edge = this.getLinkedEdge(hash); - while (edge) { - if ( - this.getFromNode(edge) === from && - this.getToNode(edge) === to && - this.getEdgeType(edge) === type - ) { - return edge; - } - edge = this.getLinkedEdge(edge, NEXT_HASH); - } - return -1; - } - - /** Get the next available index in the edges array. */ - getNextIndex(): number { - let offset = (this.#edges[COUNT] + this.#edges[DELETES]) * EDGE_SIZE; - let index = this.addressableLimit + offset; - return index; - } - *getAllEdges(): Iterator<{| type: TEdgeType | NullEdgeType, from: NodeId, to: NodeId, |}> { - for (let from of this.iterateNodes()) { - for (let edge of this.iterateOutgoingEdges(from)) { - yield {type: this.getEdgeType(edge), from, to: this.getToNode(edge)}; - } + for (let edge of this.#edges) { + yield { + from: this.#edges.from(edge), + to: this.#edges.to(edge), + type: this.#edges.typeOf(edge), + }; } } @@ -893,7 +332,8 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): boolean { - return this.indexOf(from, to, type) !== -1; + let hash = this.#edges.hash(from, to, type); + return this.#edges.addressOf(hash, from, to, type) !== null; } /** @@ -904,132 +344,86 @@ export default class AdjacencyList { to: NodeId, type: TEdgeType | NullEdgeType = 1, ): void { - let hash = this.hash(from, to, type); - let edge = this.getLinkedEdge(hash); - while (edge && this.edgeExists(edge)) { - if ( - this.getFromNode(edge) === from && - this.getToNode(edge) === to && - this.getEdgeType(edge) === type - ) { - break; - } - edge = this.getLinkedEdge(edge, NEXT_HASH); - } + let hash = this.#edges.hash(from, to, type); + let edge = this.#edges.addressOf(hash, from, to, type); // The edge is not in the graph; do nothing. - if (!edge) return; - - /** The first incoming edge to the removed edge's terminus. */ - let firstIn = this.getEdge(to, FIRST_IN); - /** The last incoming edge to the removed edge's terminus. */ - let lastIn = this.getEdge(to, LAST_IN); - /** The next incoming edge after the removed edge. */ - let nextIn = this.getLinkedEdge(edge, NEXT_IN); - /** The previous incoming edge before the removed edge. */ - let previousIn = this.getLinkedEdge(edge, PREV_IN); - /** The first outgoing edge from the removed edge's origin. */ - let firstOut = this.getEdge(from, FIRST_OUT); - /** The last outgoing edge from the removed edge's origin. */ - let lastOut = this.getEdge(from, LAST_OUT); - /** The next outgoing edge after the removed edge. */ - let nextOut = this.getLinkedEdge(edge, NEXT_OUT); - /** The previous outgoing edge before the removed edge. */ - let previousOut = this.getLinkedEdge(edge, PREV_OUT); - /** The next edge in the bucket after the removed edge. */ - let nextEdge = this.getLinkedEdge(edge, NEXT_HASH); - /** The previous edge in the bucket before the removed edge. */ - let prevEdge = this.findEdgeBefore(edge, NEXT_HASH); - - // Splice the removed edge out of the linked list of edges in the bucket. - if (prevEdge && nextEdge) this.linkEdge(prevEdge, nextEdge, NEXT_HASH); - else if (prevEdge) this.unlinkEdge(prevEdge, NEXT_HASH); - else if (nextEdge) this.linkEdge(hash, nextEdge); - else this.unlinkEdge(hash); + if (edge === null) return; - // Splice the removed edge out of the linked list of incoming edges. - if (previousIn && nextIn) { - this.linkEdge(previousIn, nextIn, NEXT_IN); - this.linkEdge(nextIn, previousIn, PREV_IN); - } else if (previousIn) { - this.unlinkEdge(previousIn, NEXT_IN); - } else if (nextIn) { - this.unlinkEdge(nextIn, PREV_IN); - } - - // Splice the removed edge out of the linked list of outgoing edges. - if (previousOut && nextOut) { - this.linkEdge(previousOut, nextOut, NEXT_OUT); - this.linkEdge(nextOut, previousOut, PREV_OUT); - } else if (previousOut) { - this.unlinkEdge(previousOut, NEXT_OUT); - } else if (nextOut) { - this.unlinkEdge(nextOut, PREV_OUT); - } + let toNode = nullthrows(this.#nodes.addressOf(to, type)); + let fromNode = nullthrows(this.#nodes.addressOf(from, type)); // Update the terminating node's first and last incoming edges. - if (firstIn === edge) this.setEdge(to, nextIn, FIRST_IN); - if (lastIn === edge) this.setEdge(to, previousIn, LAST_IN); + this.#nodes.unlinkIn( + toNode, + edge, + this.#edges.prevIn(edge), + this.#edges.nextIn(edge), + ); // Update the originating node's first and last outgoing edges. - if (firstOut === edge) this.setEdge(from, nextOut, FIRST_OUT); - if (lastOut === edge) this.setEdge(from, previousOut, LAST_OUT); - - this.#edges[edge + TYPE] = 0; - this.#edges[edge + FROM] = 0; - this.#edges[edge + TO] = 0; - this.#edges[edge + NEXT_HASH] = 0; - this.#edges[edge + NEXT_IN] = 0; - this.#edges[edge + PREV_IN] = 0; - this.#edges[edge + NEXT_OUT] = 0; - this.#edges[edge + PREV_OUT] = 0; - - this.#edges[COUNT]--; - this.#edges[DELETES]++; + this.#nodes.unlinkOut( + fromNode, + edge, + this.#edges.prevOut(edge), + this.#edges.nextOut(edge), + ); - this.#typeMap?.delete(from, to, type); + // Splice the removed edge out of the linked list of edges in the bucket. + this.#edges.unlink(hash, edge); + // Splice the removed edge out of the linked list of incoming edges. + this.#edges.unlinkIn(edge); + // Splice the removed edge out of the linked list of outgoing edges. + this.#edges.unlinkOut(edge); + // Finally, delete the edge. + this.#edges.delete(edge); } hasInboundEdges(to: NodeId): boolean { - return Boolean(this.getEdge(to, FIRST_IN)); + let node = this.#nodes.head(to); + while (node !== null) { + if (this.#nodes.firstIn(node) !== null) return true; + node = this.#nodes.next(node); + } + return false; } - getInboundEdgesByType(to: NodeId): {|type: TEdgeType, from: NodeId|}[] { + getInboundEdgesByType( + to: NodeId, + ): {|type: TEdgeType | NullEdgeType, from: NodeId|}[] { let edges = []; - let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); - for (let [type, nodes] of typeMap.getConnectedTo(to)) { - for (let from of nodes) { - edges.push({type: (type: any), from}); + let node = this.#nodes.head(to); + while (node !== null) { + let type = this.#nodes.typeOf(node); + let edge = this.#nodes.firstIn(node); + while (edge !== null) { + let from = this.#edges.from(edge); + edges.push({from, type}); + edge = this.#edges.nextIn(edge); } + node = this.#nodes.next(node); } return edges; } - getOutboundEdgesByType(from: NodeId): {|type: TEdgeType, to: NodeId|}[] { + getOutboundEdgesByType( + from: NodeId, + ): {|type: TEdgeType | NullEdgeType, to: NodeId|}[] { let edges = []; - let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); - for (let [type, nodes] of typeMap.getConnectedFrom(from)) { - for (let to of nodes) { - edges.push({type: (type: any), to}); + let node = this.#nodes.head(from); + while (node !== null) { + let type = this.#nodes.typeOf(node); + let edge = this.#nodes.firstOut(node); + while (edge !== null) { + let to = this.#edges.to(edge); + edges.push({to, type}); + edge = this.#edges.nextOut(edge); } + node = this.#nodes.next(node); } return edges; } - /** - * - */ - getEdges( - from: NodeId, - type: - | AllEdgeTypes - | TEdgeType - | NullEdgeType - | Array = 1, - ): $ReadOnlySet { - return new Set(this.getNodeIdsConnectedFrom(from, type)); - } - /** * Get the list of nodes connected from this node. */ @@ -1041,22 +435,23 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); - let isAllEdgeTypes = + let matches = node => type === ALL_EDGE_TYPES || - (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); + (Array.isArray(type) + ? type.includes(this.#nodes.typeOf(node)) + : type === this.#nodes.typeOf(node)); let nodes = []; - if (isAllEdgeTypes) { - for (let toSet of typeMap.getConnectedFrom(from).values()) { - nodes.push(...toSet); - } - } else if (Array.isArray(type)) { - for (let typeNum of type) { - nodes.push(...typeMap.getConnectedFromType(from, typeNum)); + let node = this.#nodes.head(from); + while (node !== null) { + if (matches(node)) { + let edge = this.#nodes.firstOut(node); + while (edge !== null) { + nodes.push(this.#edges.to(edge)); + edge = this.#edges.nextOut(edge); + } } - } else { - nodes.push(...typeMap.getConnectedFromType(from, (type: any))); + node = this.#nodes.next(node); } return nodes; } @@ -1072,33 +467,688 @@ export default class AdjacencyList { | NullEdgeType | Array = 1, ): NodeId[] { - let typeMap = this.#typeMap || (this.#typeMap = new TypeMap(this)); - let isAllEdgeTypes = + let matches = node => type === ALL_EDGE_TYPES || - (Array.isArray(type) && type.includes(ALL_EDGE_TYPES)); + (Array.isArray(type) + ? type.includes(this.#nodes.typeOf(node)) + : type === this.#nodes.typeOf(node)); let nodes = []; - if (isAllEdgeTypes) { - for (let fromSet of typeMap.getConnectedTo(to).values()) { - nodes.push(...fromSet); + let node = this.#nodes.head(to); + while (node !== null) { + if (matches(node)) { + let edge = this.#nodes.firstIn(node); + while (edge !== null) { + nodes.push(this.#edges.from(edge)); + edge = this.#edges.nextIn(edge); + } } - } else if (Array.isArray(type)) { - for (let typeNum of type) { - nodes.push(...typeMap.getConnectedToType(to, typeNum)); + node = this.#nodes.next(node); + } + return nodes; + } + + inspect(): any { + return { + nodes: this.#nodes.inspect(), + edges: this.#edges.inspect(), + }; + } +} + +/** + * `SharedTypeMap` is a hashmap of items, + * where each item has its own 'type' field. + * + * The `SharedTypeMap` is backed by a shared array buffer of fixed length. + * The buffer is partitioned into: + * - a header, which stores the capacity and number of items in the map, + * - a hash table, which is an array of pointers to linked lists of items + * with the same hash, + * - an items array, which is where the linked items are stored. + * + * hash table item + * (capacity) (ITEM_SIZE) + * ┌──────┴──────┐ ┌──┴──┐ + * ┌──┬──┬──┬───────┬──┬──┬──┬───────┬──┬──┐ + * │ │ │ │ ... │ │ │ │ ... │ │ │ + * └──┴──┴──┴───────┴──┴──┴──┴───────┴──┴──┘ + * └──┬──┘ └─────────┬─────────┘ + * header items + * (HEADER_SIZE) (capacity * ITEM_SIZE * BUCKET_SIZE) + * + * + * An item is added with a hash key that fits within the range of the hash + * table capacity. The item is stored at the next available address after the + * hash table, and a pointer to the address is stored in the hash table at + * the index matching the hash. If the hash is already pointing at an item, + * the pointer is stored in the `next` field of the existing item instead. + * + * hash table items + * ┌─────────┴────────┐┌───────────────────────┴────────────────────────┐ + * 0 1 2 11 17 23 29 35 + * ┌───┐┌───┐┌───┐┌───┐┌───┬───┐┌───┬───┐┌───┬───┐┌───┬───┐┌───┬───┐┌───┐ + * │17 ││11 ││35 ││...││23 │ 1 ││29 │ 1 ││ 0 │ 2 ││ 0 │ 2 ││ 0 │ 1 ││...│ + * └───┘└───┘└───┘└───┘└───┴───┘└───┴───┘└───┴───┘└───┴───┘└───┴───┘└───┘ + * │ │ │ ▲ ▲ ▲ ▲ ▲ + * └────┼────┼─────────┼────────┴────────┼────────┘ │ + * └────┼─────────┴─────────────────┘ │ + * └─────────────────────────────────────────────┘ + */ +export class SharedTypeMap + implements Iterable { + /** + * The header for the `SharedTypeMap` comprises 2 4-byte chunks: + * + * struct SharedTypeMapHeader { + * int capacity; + * int count; + * } + * + * ┌──────────┬───────┐ + * │ CAPACITY │ COUNT │ + * └──────────┴───────┘ + */ + static HEADER_SIZE: number = 2; + /** The offset from the header where the capacity is stored. */ + static #CAPACITY: 0 = 0; + /** The offset from the header where the count is stored. */ + static #COUNT: 1 = 1; + + /** + * Each item in `SharedTypeMap` comprises 2 4-byte chunks: + * + * struct Node { + * int next; + * int type; + * } + * + * ┌──────┬──────┐ + * │ NEXT │ TYPE │ + * └──────┴──────┘ + */ + static ITEM_SIZE: number = 2; + /** The offset at which a link to the next item in the same bucket is stored. */ + static #NEXT: 0 = 0; + /** The offset at which an item's type is stored. */ + static #TYPE: 1 = 1; + + /** The number of items to accommodate per hash bucket. */ + static BUCKET_SIZE: number = 2; + + data: Uint32Array; + + get capacity(): number { + return this.data[SharedTypeMap.#CAPACITY]; + } + + get count(): number { + return this.data[SharedTypeMap.#COUNT]; + } + + get load(): number { + return this.getLoad(); + } + + get length(): number { + return this.getLength(); + } + + get addressableLimit(): number { + return this.constructor.HEADER_SIZE + this.capacity; + } + + get bufferSize(): string { + return `${(this.data.byteLength / 1024 / 1024).toLocaleString(undefined, { + minmumFractionDigits: 2, + maximumFractionDigits: 2, + })} mb`; + } + + constructor(capacityOrData: number | Uint32Array) { + if (typeof capacityOrData === 'number') { + let {BYTES_PER_ELEMENT} = Uint32Array; + let CAPACITY = SharedTypeMap.#CAPACITY; + // $FlowFixMe[incompatible-call] + this.data = new Uint32Array( + new SharedArrayBuffer( + this.getLength(capacityOrData) * BYTES_PER_ELEMENT, + ), + ); + this.data[CAPACITY] = capacityOrData; + } else { + this.data = capacityOrData; + assert(this.getLength() === this.data.length, 'Data appears corrupt.'); + } + } + + set(data: Uint32Array): void { + let {HEADER_SIZE, ITEM_SIZE} = this.constructor; + let NEXT = SharedTypeMap.#NEXT; + let COUNT = SharedTypeMap.#COUNT; + let CAPACITY = SharedTypeMap.#CAPACITY; + + let delta = this.capacity - data[CAPACITY]; + assert(delta >= 0, 'Cannot copy to a map with smaller capacity.'); + + // Copy the header. + this.data.set(data.subarray(COUNT, HEADER_SIZE), COUNT); + + // Copy the hash table. + let toTable = this.data.subarray(HEADER_SIZE, HEADER_SIZE + this.capacity); + toTable.set(data.subarray(HEADER_SIZE, HEADER_SIZE + data[CAPACITY])); + // Offset first links to account for the change in table capacity. + let max = toTable.length; + for (let i = 0; i < max; i++) { + if (toTable[i]) toTable[i] += delta; + } + + // Copy the items. + let toItems = this.data.subarray(HEADER_SIZE + this.capacity); + toItems.set(data.subarray(HEADER_SIZE + data[CAPACITY])); + // Offset next links to account for the change in table capacity. + max = toItems.length; + for (let i = 0; i < max; i += ITEM_SIZE) { + if (toItems[i + NEXT]) toItems[i + NEXT] += delta; + } + } + + getLoad(count: number = this.count): number { + let {BUCKET_SIZE} = this.constructor; + return count / (this.capacity * BUCKET_SIZE); + } + + getLength(capacity: number = this.capacity): number { + let {HEADER_SIZE, ITEM_SIZE, BUCKET_SIZE} = this.constructor; + return capacity + HEADER_SIZE + ITEM_SIZE * BUCKET_SIZE * capacity; + } + + /** Get the next available address in the map. */ + getNextAddress(): TAddress { + let {HEADER_SIZE, ITEM_SIZE} = this.constructor; + return (HEADER_SIZE + this.capacity + this.count * ITEM_SIZE: any); + } + + /** Get the address of the first item with the given hash. */ + head(hash: THash): TAddress | null { + let {HEADER_SIZE} = this.constructor; + return (this.data[HEADER_SIZE + (hash: any)]: any) || null; + } + + /** Get the address of the next item with the same hash as the given item. */ + next(item: TAddress): TAddress | null { + let NEXT = SharedTypeMap.#NEXT; + return (this.data[(item: any) + NEXT]: any) || null; + } + + typeOf(item: TAddress): TItemType { + return (this.data[item + SharedTypeMap.#TYPE]: any); + } + + link(hash: THash, item: TAddress, type: TItemType): void { + let COUNT = SharedTypeMap.#COUNT; + let NEXT = SharedTypeMap.#NEXT; + let TYPE = SharedTypeMap.#TYPE; + let {HEADER_SIZE} = this.constructor; + + this.data[item + TYPE] = (type: any); + + let prev = this.head(hash); + if (prev !== null) { + let next = this.next(prev); + while (next !== null) { + prev = next; + next = this.next(next); } + this.data[prev + NEXT] = item; } else { - nodes.push(...typeMap.getConnectedToType(to, (type: any))); + // This is the first item in the bucket! + this.data[HEADER_SIZE + (hash: any)] = item; } - return nodes; + this.data[COUNT]++; } + unlink(hash: THash, item: TAddress): void { + let COUNT = SharedTypeMap.#COUNT; + let NEXT = SharedTypeMap.#NEXT; + let TYPE = SharedTypeMap.#TYPE; + let {HEADER_SIZE} = this.constructor; + + this.data[item + TYPE] = 0; + + let head = this.head(hash); + // No bucket to unlink from. + if (head === null) return; + + let next = this.next(item); + let prev = null; + let candidate = head; + while (candidate !== null && candidate !== item) { + prev = candidate; + candidate = this.next(candidate); + } + if (prev !== null && next !== null) { + this.data[prev + NEXT] = next; + } else if (prev !== null) { + this.data[prev + NEXT] = 0; + } else if (next !== null) { + this.data[HEADER_SIZE + (hash: any)] = next; + } else { + this.data[HEADER_SIZE + (hash: any)] = 0; + } + this.data[item + NEXT] = 0; + this.data[COUNT]--; + } + + forEach(cb: (item: TAddress) => void): void { + let max = this.count; + let len = this.length; + let {ITEM_SIZE} = this.constructor; + for ( + let i = this.addressableLimit, count = 0; + i < len && count < max; + i += ITEM_SIZE + ) { + // Skip items that don't have a type. + if (this.typeOf((i: any))) { + cb((i: any)); + count++; + } + } + } + + /*:: @@iterator(): Iterator { return ({}: any); } */ + // $FlowFixMe[unsupported-syntax] + *[Symbol.iterator](): Iterator { + let max = this.count; + let len = this.length; + let {ITEM_SIZE} = this.constructor; + for ( + let i = this.addressableLimit, count = 0; + i < len && count < max; + i += ITEM_SIZE + ) { + if (this.data.subarray(i, i + ITEM_SIZE).some(Boolean)) { + yield (i: any); + count++; + } + } + } + + inspect(): {| + header: Uint32Array, + table: Uint32Array, + data: Uint32Array, + |} { + const {HEADER_SIZE, ITEM_SIZE, BUCKET_SIZE} = this.constructor; + let min = HEADER_SIZE + this.capacity; + let max = min + this.capacity * BUCKET_SIZE * ITEM_SIZE; + return { + header: this.data.subarray(0, HEADER_SIZE), + table: this.data.subarray(HEADER_SIZE, min), + data: this.data.subarray(min, max), + }; + } +} + +/** + * Nodes are stored in a `SharedTypeMap`, keyed on node id plus an edge type. + * This means that for any given unique node id, there may be `e` nodes in the + * map, where `e` is the number of possible edge types in the graph. + */ +export class NodeTypeMap extends SharedTypeMap< + TEdgeType, + NodeId, + NodeAddress, +> { + /** + * In addition to the header defined by `SharedTypeMap`, the header for + * the node map includes a 4-byte `nextId` chunk: + * + * struct NodeTypeMapHeader { + * int capacity; // from `SharedTypeMap` + * int count; // from `SharedTypeMap` + * int nextId; + * } + * + * ┌──────────┬───────┬─────────┐ + * │ CAPACITY │ COUNT │ NEXT_ID │ + * └──────────┴───────┴─────────┘ + */ + static HEADER_SIZE: number = 3; + /** The offset from the header where the next available node id is stored. */ + static #NEXT_ID = 2; + /** - * Create a hash of the edge connecting the `from` and `to` nodes. + * In addition to the item fields defined by `SharedTypeMap`, + * each node includes another 4 4-byte chunks: * - * This hash is used to index the edge in the `edges` array. + * struct Node { + * int next; // from `SharedTypeMap` + * int type; // from `SharedTypeMap` + * int firstIn; + * int firstOut; + * int lastIn; + * int lastOut; + * } * + * ┌──────┬──────┬──────────┬───────────┬─────────┬──────────┐ + * │ NEXT │ TYPE │ FIRST_IN │ FIRST_OUT │ LAST_IN │ LAST_OUT │ + * └──────┴──────┴──────────┴───────────┴─────────┴──────────┘ */ - hash(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): EdgeHash { + static ITEM_SIZE: number = 6; + /** The offset at which a node's first incoming edge of this type is stored. */ + static #FIRST_IN = 2; + /** The offset at which a node's first outgoing edge of this type is stored. */ + static #FIRST_OUT = 3; + /** The offset at which a node's last incoming edge of this type is stored. */ + static #LAST_IN = 4; + /** The offset at which a node's last outgoing edge of this type is stored. */ + static #LAST_OUT = 5; + + /** The smallest functional node map capacity. */ + static MIN_CAPACITY: number = 2; + /** The largest possible node map capacity. */ + static MAX_CAPACITY: number = Math.floor( + // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong + (2 ** 31 - 1 - NodeTypeMap.HEADER_SIZE) / + NodeTypeMap.ITEM_SIZE / + NodeTypeMap.BUCKET_SIZE, + ); + + get nextId(): NodeId { + return toNodeId(this.data[NodeTypeMap.#NEXT_ID]); + } + set nextId(nextId: NodeId) { + this.data[NodeTypeMap.#NEXT_ID] = fromNodeId(nextId); + } + + /** Get a unique node id. */ + getId(): NodeId { + return toNodeId(this.data[NodeTypeMap.#NEXT_ID]++); + } + + getLoad(count: number = this.count): number { + return Math.max( + fromNodeId(this.nextId) / this.capacity, + super.getLoad(count), + ); + } + + add(node: NodeId, type: TEdgeType): NodeAddress { + let index = fromNodeId(node); + assert( + index >= 0 && index < this.data[NodeTypeMap.#NEXT_ID], + `Invalid node id ${String(node)} (${this.data[NodeTypeMap.#NEXT_ID]})`, + ); + let address = this.getNextAddress(); + this.link(node, address, type); + return address; + } + + addressOf(node: NodeId, type: TEdgeType): NodeAddress | null { + let address = this.head(node); + while (address !== null) { + if (this.typeOf(address) === type) { + return address; + } + address = this.next(address); + } + return null; + } + + firstIn(node: NodeAddress): EdgeAddress | null { + return this.data[node + NodeTypeMap.#FIRST_IN] || null; + } + + firstOut(node: NodeAddress): EdgeAddress | null { + return this.data[node + NodeTypeMap.#FIRST_OUT] || null; + } + + lastIn(node: NodeAddress): EdgeAddress | null { + return this.data[node + NodeTypeMap.#LAST_IN] || null; + } + + lastOut(node: NodeAddress): EdgeAddress | null { + return this.data[node + NodeTypeMap.#LAST_OUT] || null; + } + + linkIn(node: NodeAddress, edge: EdgeAddress): EdgeAddress | null { + let first = this.firstIn(node); + let last = this.lastIn(node); + if (first === null) this.data[node + NodeTypeMap.#FIRST_IN] = edge; + this.data[node + NodeTypeMap.#LAST_IN] = edge; + return last; + } + + unlinkIn( + node: NodeAddress, + edge: EdgeAddress, + prev: EdgeAddress | null, + next: EdgeAddress | null, + ): void { + let first = this.firstIn(node); + let last = this.lastIn(node); + if (last === edge) { + this.data[node + NodeTypeMap.#LAST_IN] = prev === null ? 0 : prev; + } + if (first === edge) { + this.data[node + NodeTypeMap.#FIRST_IN] = next === null ? 0 : next; + } + } + + linkOut(node: NodeAddress, edge: EdgeAddress): EdgeAddress | null { + let first = this.firstOut(node); + let last = this.lastOut(node); + if (first === null) this.data[node + NodeTypeMap.#FIRST_OUT] = edge; + this.data[node + NodeTypeMap.#LAST_OUT] = edge; + return last; + } + + unlinkOut( + node: NodeAddress, + edge: EdgeAddress, + prev: EdgeAddress | null, + next: EdgeAddress | null, + ): void { + let first = this.firstOut(node); + let last = this.lastOut(node); + if (last === edge) { + this.data[node + NodeTypeMap.#LAST_OUT] = prev === null ? 0 : prev; + } + if (first === edge) { + this.data[node + NodeTypeMap.#FIRST_OUT] = next === null ? 0 : next; + } + } +} + +/** + * Edges are stored in a `SharedTypeMap`, + * keyed on the 'from' and 'to' node ids, and the edge type. + */ +export class EdgeTypeMap extends SharedTypeMap< + TEdgeType, + EdgeHash, + EdgeAddress, +> { + /** + * In addition to the header defined by `SharedTypeMap`, the header for + * the edge map includes a 4-byte `deletes` chunk: + * + * struct EdgeTypeMapHeader { + * int capacity; // from `SharedTypeMap` + * int count; // from `SharedTypeMap` + * int deletes; + * } + * + * ┌──────────┬───────┬─────────┐ + * │ CAPACITY │ COUNT │ DELETES │ + * └──────────┴───────┴─────────┘ + */ + static HEADER_SIZE: number = 3; + /** The offset from the header where the delete count is stored. */ + static #DELETES = 2; + + /** + * In addition to the item fields defined by `SharedTypeMap`, + * each edge includes another 6 4-byte chunks: + * + * struct Edge { + * int next; // from `SharedTypeMap` + * int type; // from `SharedTypeMap` + * int from; + * int to; + * int nextIn; + * int prevIn; + * int nextOut; + * int prevOut; + * } + * + * ┌──────┬──────┬──────┬────┬─────────┬─────────┬──────────┬──────────┐ + * │ NEXT │ TYPE │ FROM │ TO │ NEXT_IN │ PREV_IN │ NEXT_OUT │ PREV_OUT │ + * └──────┴──────┴──────┴────┴─────────┴─────────┴──────────┴──────────┘ + */ + static ITEM_SIZE: number = 8; + /** The offset at which an edge's 'from' node id is stored. */ + static #FROM = 2; + /** The offset at which an edge's 'to' node id is stored. */ + static #TO = 3; + /** The offset at which the 'to' node's next incoming edge is stored. */ + static #NEXT_IN = 4; + /** The offset at which the 'to' node's previous incoming edge is stored. */ + static #PREV_IN = 5; + /** The offset at which the 'from' node's next outgoing edge is stored. */ + static #NEXT_OUT = 6; + /** The offset at which the 'from' node's previous outgoing edge is stored. */ + static #PREV_OUT = 7; + + /** The smallest functional edge map capacity. */ + static MIN_CAPACITY: number = 2; + /** The largest possible edge map capacity. */ + static MAX_CAPACITY: number = Math.floor( + // https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Errors/Invalid_array_length#what_went_wrong + (2 ** 31 - 1 - EdgeTypeMap.HEADER_SIZE) / + EdgeTypeMap.ITEM_SIZE / + EdgeTypeMap.BUCKET_SIZE, + ); + /** The size after which to grow the capacity by the minimum factor. */ + static PEAK_CAPACITY: number = 2 ** 18; + + get deletes(): number { + return this.data[EdgeTypeMap.#DELETES]; + } + + getNextAddress(): EdgeAddress { + let {ITEM_SIZE} = this.constructor; + return this.addressableLimit + (this.count + this.deletes) * ITEM_SIZE; + } + + add(hash: EdgeHash, from: NodeId, to: NodeId, type: TEdgeType): EdgeAddress { + assert( + hash >= 0 && hash < this.capacity, + `Invalid edge hash ${String(hash)}`, + ); + // Use the next available edge address. + let edge = this.getNextAddress(); + // Add our new edge to its hash bucket. + this.link(hash, edge, type); + this.data[edge + EdgeTypeMap.#FROM] = fromNodeId(from); + this.data[edge + EdgeTypeMap.#TO] = fromNodeId(to); + return edge; + } + + delete(edge: EdgeAddress): void { + this.data[edge + EdgeTypeMap.#FROM] = 0; + this.data[edge + EdgeTypeMap.#TO] = 0; + this.data[EdgeTypeMap.#DELETES]++; + } + + addressOf( + hash: EdgeHash, + from: NodeId, + to: NodeId, + type: TEdgeType, + ): EdgeAddress | null { + let address = this.head(hash); + while (address !== null) { + if ( + this.typeOf(address) === type && + this.from(address) === from && + this.to(address) === to + ) { + return address; + } + address = this.next(address); + } + return null; + } + + from(edge: EdgeAddress): NodeId { + return toNodeId(this.data[edge + EdgeTypeMap.#FROM]); + } + + to(edge: EdgeAddress): NodeId { + return toNodeId(this.data[edge + EdgeTypeMap.#TO]); + } + + nextIn(edge: EdgeAddress): EdgeAddress | null { + return this.data[edge + EdgeTypeMap.#NEXT_IN] || null; + } + + prevIn(edge: EdgeAddress): EdgeAddress | null { + return this.data[edge + EdgeTypeMap.#PREV_IN] || null; + } + + linkIn(edge: EdgeAddress, next: EdgeAddress) { + this.data[edge + EdgeTypeMap.#NEXT_IN] = next; + this.data[next + EdgeTypeMap.#PREV_IN] = edge; + } + + unlinkIn(edge: EdgeAddress) { + let next = this.nextIn(edge); + let prev = this.prevIn(edge); + this.data[edge + EdgeTypeMap.#NEXT_IN] = 0; + this.data[edge + EdgeTypeMap.#PREV_IN] = 0; + if (next !== null && prev !== null) { + this.data[prev + EdgeTypeMap.#NEXT_IN] = next; + this.data[next + EdgeTypeMap.#PREV_IN] = prev; + } else if (next !== null) { + this.data[next + EdgeTypeMap.#PREV_IN] = 0; + } else if (prev !== null) { + this.data[prev + EdgeTypeMap.#NEXT_IN] = 0; + } + } + + nextOut(edge: EdgeAddress): EdgeAddress | null { + return this.data[edge + EdgeTypeMap.#NEXT_OUT] || null; + } + + prevOut(edge: EdgeAddress): EdgeAddress | null { + return this.data[edge + EdgeTypeMap.#PREV_OUT] || null; + } + + linkOut(edge: EdgeAddress, next: EdgeAddress) { + this.data[edge + EdgeTypeMap.#NEXT_OUT] = next; + this.data[next + EdgeTypeMap.#PREV_OUT] = edge; + } + + unlinkOut(edge: EdgeAddress) { + let next = this.nextOut(edge); + let prev = this.prevOut(edge); + this.data[edge + EdgeTypeMap.#NEXT_OUT] = 0; + this.data[edge + EdgeTypeMap.#PREV_OUT] = 0; + if (next !== null && prev !== null) { + this.data[prev + EdgeTypeMap.#NEXT_OUT] = next; + this.data[next + EdgeTypeMap.#PREV_OUT] = prev; + } else if (next !== null) { + this.data[next + EdgeTypeMap.#PREV_OUT] = 0; + } else if (prev !== null) { + this.data[prev + EdgeTypeMap.#NEXT_OUT] = 0; + } + } + + /** Create a hash of the edge connecting the `from` and `to` nodes. */ + hash(from: NodeId, to: NodeId, type: TEdgeType): EdgeHash { // Each parameter is hashed by mixing its upper bits into its lower bits to // increase the likelihood that a change to any bit of the input will vary // the output widely. Then we do a series of prime multiplications and @@ -1108,98 +1158,53 @@ export default class AdjacencyList { hash = hash * 37 + hash32shift((to: any)); hash = hash * 37 + hash32shift((type: any)); // Finally, we map the hash to a value modulo the edge capacity. - hash %= this.#edges[CAPACITY]; + hash %= this.capacity; return hash; } } -/** - * A cache of connected nodes grouped by type. - * - * This cache is used to speed up iterations that are grouped by type, - * such as `getEdgesConnectedFrom` and `getEdgesConnectedTo`, - * as well as `getOutboundEdgesByType` and `getInboundEdgesByType`. - */ -class TypeMap { - #data: AdjacencyList; - /** A map of node ids from => through types => to node ids. */ - #from: Map>> = new Map(); - /** A map of node ids to => through types => from node ids. */ - #to: Map>> = new Map(); - constructor(data: AdjacencyList) { - this.#data = data; - } - add(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): void { - this.getConnectedToType(to, type).add(from); - this.getConnectedFromType(from, type).add(to); - } - delete(from: NodeId, to: NodeId, type: TEdgeType | NullEdgeType): void { - this.#from - .get(from) - ?.get(type) - ?.delete(to); - this.#to - .get(to) - ?.get(type) - ?.delete(from); - } - getConnectedTo(to: NodeId): Map> { - let toTypes = this.#to.get(to); - if (toTypes == null) { - toTypes = new Map(); - // Populate the map with existing data. - for (let edge of this.#data.iterateIncomingEdges(to)) { - let from = this.#data.getFromNode(edge); - let type = this.#data.getEdgeType(edge); - let fromSet = toTypes.get(type); - if (fromSet == null) { - fromSet = new Set(); - toTypes.set(type, fromSet); - } - fromSet.add(from); - } - this.#to.set(to, toTypes); - } - return toTypes; - } - getConnectedToType(to: NodeId, type: TEdgeType | NullEdgeType): Set { - let toTypes = this.getConnectedTo(to); - let fromSet = toTypes.get(type); - if (fromSet == null) { - fromSet = new Set(); - toTypes.set(type, fromSet); - } - return fromSet; - } - getConnectedFrom(from: NodeId): Map> { - let fromTypes = this.#from.get(from); - if (fromTypes == null) { - fromTypes = new Map(); - // Populate the map with existing data. - for (let edge of this.#data.iterateOutgoingEdges(from)) { - let to = this.#data.getToNode(edge); - let type = this.#data.getEdgeType(edge); - let toSet = fromTypes.get(type); - if (toSet == null) { - toSet = new Set(); - fromTypes.set(type, toSet); - } - toSet.add(to); - } - this.#from.set(from, fromTypes); - } - return fromTypes; - } - getConnectedFromType( - from: NodeId, - type: TEdgeType | NullEdgeType, - ): Set { - let fromTypes = this.getConnectedFrom(from); - let toSet = fromTypes.get(type); - if (toSet == null) { - toSet = new Set(); - fromTypes.set(type, toSet); - } - return toSet; +// From https://gist.github.com/badboy/6267743#32-bit-mix-functions +function hash32shift(key: number): number { + key = ~key + (key << 15); // key = (key << 15) - key - 1; + key = key ^ (key >> 12); + key = key + (key << 2); + key = key ^ (key >> 4); + key = key * 2057; // key = (key + (key << 3)) + (key << 11); + key = key ^ (key >> 16); + return key; +} + +function interpolate(x: number, y: number, t: number): number { + return x + (y - x) * Math.min(1, Math.max(0, t)); +} + +function increaseNodeCapacity(nodeCapacity: number): number { + let {MIN_CAPACITY, MAX_CAPACITY} = NodeTypeMap; + let newCapacity = Math.round(nodeCapacity * MIN_GROW_FACTOR); + assert(newCapacity <= MAX_CAPACITY, 'Node capacity overflow!'); + return Math.max(MIN_CAPACITY, newCapacity); +} + +function getNextEdgeCapacity( + capacity: number, + count: number, + load: number, +): number { + let {MIN_CAPACITY, MAX_CAPACITY, PEAK_CAPACITY} = EdgeTypeMap; + let newCapacity = capacity; + if (load > LOAD_FACTOR) { + // This is intended to strike a balance between growing the edge capacity + // in too small increments, which causes a lot of resizing, and growing + // the edge capacity in too large increments, which results in a lot of + // wasted memory. + let pct = capacity / PEAK_CAPACITY; + let growFactor = interpolate(MAX_GROW_FACTOR, MIN_GROW_FACTOR, pct); + newCapacity = Math.round(capacity * growFactor); + } else if (load < UNLOAD_FACTOR) { + // In some cases, it may be possible to shrink the edge capacity, + // but this is only likely to occur when a lot of edges have been removed. + newCapacity = Math.round(capacity * SHRINK_FACTOR); } + assert(newCapacity <= MAX_CAPACITY, 'Edge capacity overflow!'); + return Math.max(MIN_CAPACITY, newCapacity); } diff --git a/packages/core/graph/test/AdjacencyList.test.js b/packages/core/graph/test/AdjacencyList.test.js index 548c271b41d..e3c3044ba37 100644 --- a/packages/core/graph/test/AdjacencyList.test.js +++ b/packages/core/graph/test/AdjacencyList.test.js @@ -4,18 +4,12 @@ import assert from 'assert'; import path from 'path'; import {Worker} from 'worker_threads'; -import AdjacencyList, { - NODES_HEADER_SIZE, - EDGES_HEADER_SIZE, -} from '../src/AdjacencyList'; +import AdjacencyList, {NodeTypeMap, EdgeTypeMap} from '../src/AdjacencyList'; import {toNodeId} from '../src/types'; describe('AdjacencyList', () => { it('constructor should initialize an empty graph', () => { - let stats = new AdjacencyList({ - nodeCapacity: 1, - edgeCapacity: 1, - }).stats; + let stats = new AdjacencyList().stats; assert(stats.nodes === 0); assert(stats.edges === 0); }); @@ -28,16 +22,16 @@ describe('AdjacencyList', () => { }); it('addNode should resize nodes array when necessary', () => { - let graph = new AdjacencyList({nodeCapacity: 1}); - let size = graph.serialize().nodes.length; - graph.addNode(); - assert(size < (size = graph.serialize().nodes.length)); - graph.addNode(); - assert(size < (size = graph.serialize().nodes.length)); - graph.addNode(); - assert(size === graph.serialize().nodes.length); - graph.addNode(); - assert(size < graph.serialize().nodes.length); + let graph = new AdjacencyList(); + let size = graph.serialize().nodes.byteLength; + let a = graph.addNode(); + let b = graph.addNode(); + assert(size < (size = graph.serialize().nodes.byteLength)); + graph.addEdge(a, b, 1); + graph.addEdge(a, b, 2); + graph.addEdge(a, b, 3); + graph.addEdge(a, b, 4); + assert(size < graph.serialize().nodes.byteLength); }); it('removeEdge should remove an edge from the graph', () => { @@ -64,7 +58,7 @@ describe('AdjacencyList', () => { }); it('removeEdge should remove an edge of a specific type from the graph', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); let c = graph.addNode(); @@ -104,7 +98,7 @@ describe('AdjacencyList', () => { }); it('addEdge should add an edge to the graph', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); graph.addEdge(a, b); @@ -163,18 +157,18 @@ describe('AdjacencyList', () => { }); it('addEdge should resize edges array when necessary', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); - let size = graph.serialize().edges.length; + let graph = new AdjacencyList(); + let size = graph.serialize().edges.byteLength; let a = graph.addNode(); let b = graph.addNode(); graph.addEdge(a, b, 1); graph.addEdge(a, b, 2); graph.addEdge(a, b, 3); - assert(size < graph.serialize().edges.length); + assert(size < graph.serialize().edges.byteLength); }); it('addEdge should error when a node has not been added to the graph', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); + let graph = new AdjacencyList(); assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(1))); graph.addNode(); assert.throws(() => graph.addEdge(toNodeId(0), toNodeId(1))); @@ -184,7 +178,7 @@ describe('AdjacencyList', () => { }); it('addEdge should error when an unsupported edge type is provided', () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 1}); + let graph = new AdjacencyList(); let a = graph.addNode(); let b = graph.addNode(); assert.throws(() => graph.addEdge(a, b, 0)); @@ -205,13 +199,8 @@ describe('AdjacencyList', () => { let n2 = graph.addNode(); graph.addEdge(n0, n1, 1); graph.addEdge(n1, n2, 1); - // $FlowFixMe[incompatible-type] - let index: number = graph.indexOf(n1, n2, 1); - assert(graph.serialize().edges[index] > 0); graph.removeEdge(n1, n2, 1); - assert(!graph.serialize().edges[index]); - graph.addEdge(n0, n1, 1); - assert(!graph.serialize().edges[index]); + assert(graph.addEdge(n0, n1, 1) === false); assert(graph.stats.edges === 1); // $FlowFixMe[cannot-write] @@ -229,23 +218,14 @@ describe('AdjacencyList', () => { let n0 = graph.addNode(); let n1 = graph.addNode(); graph.addEdge(n0, n1, 2); - // $FlowFixMe[incompatible-type] - let index: number = graph.indexOf(n0, n1, 2); - assert(graph.serialize().edges[index]); graph.removeEdge(n0, n1, 2); - assert(!graph.serialize().edges[index]); - graph.addEdge(n0, n1, 2); - // $FlowFixMe[incompatible-type] - let index2: number = graph.indexOf(n0, n1, 2); - assert(!graph.serialize().edges[index]); - assert(graph.serialize().edges[index2]); + assert(graph.addEdge(n0, n1, 2)); + assert(graph.stats.edges === 1); + assert(graph.stats.deleted === 1); // Resize to reclaim deleted edge space. graph.resizeEdges(4); - // $FlowFixMe[incompatible-type] - let index3: number = graph.indexOf(n0, n1, 2); - assert(!graph.serialize().edges[index]); - assert(!graph.serialize().edges[index2]); - assert(graph.serialize().edges[index3]); + assert(graph.stats.edges === 1); + assert(graph.stats.deleted === 0); // $FlowFixMe[cannot-write] AdjacencyList.prototype.hash = originalHash; @@ -255,7 +235,7 @@ describe('AdjacencyList', () => { this.timeout(10000); it('should share the underlying data across worker threads', async () => { - let graph = new AdjacencyList({nodeCapacity: 2, edgeCapacity: 5}); + let graph = new AdjacencyList(); let n0 = graph.addNode(); let n1 = graph.addNode(); graph.addEdge(n0, n1, 1); @@ -277,7 +257,7 @@ describe('AdjacencyList', () => { assert.deepEqual(received.serialize().edges, graph.serialize().edges); originalNodes.forEach((v, i) => { - if (i < NODES_HEADER_SIZE) { + if (i < NodeTypeMap.HEADER_SIZE) { assert.equal(v, received.serialize().nodes[i]); assert.equal(v, graph.serialize().nodes[i]); } else { @@ -287,7 +267,7 @@ describe('AdjacencyList', () => { }); originalEdges.forEach((v, i) => { - if (i < EDGES_HEADER_SIZE) { + if (i < EdgeTypeMap.HEADER_SIZE) { assert.equal(v, received.serialize().edges[i]); assert.equal(v, graph.serialize().edges[i]); } else { diff --git a/packages/core/graph/test/integration/adjacency-list-shared-array.js b/packages/core/graph/test/integration/adjacency-list-shared-array.js index 1407c448789..0c3460f92a8 100644 --- a/packages/core/graph/test/integration/adjacency-list-shared-array.js +++ b/packages/core/graph/test/integration/adjacency-list-shared-array.js @@ -1,15 +1,19 @@ require('@parcel/babel-register'); const {parentPort} = require('worker_threads'); -const {default: AdjacencyList, NODES_HEADER_SIZE, EDGES_HEADER_SIZE} = require('../../src/AdjacencyList'); +const { + default: AdjacencyList, + NodeTypeMap, + EdgeTypeMap, +} = require('../../src/AdjacencyList'); parentPort.once('message', (serialized) => { let graph = AdjacencyList.deserialize(serialized); serialized.nodes.forEach((v, i) => { - if (i < NODES_HEADER_SIZE) return; + if (i < NodeTypeMap.HEADER_SIZE) return; serialized.nodes[i] = v * 2; }); serialized.edges.forEach((v, i) => { - if (i < EDGES_HEADER_SIZE) return; + if (i < EdgeTypeMap.HEADER_SIZE) return; serialized.edges[i] = v * 2; }); parentPort.postMessage(graph.serialize()); From 7951eef6c5cba3b763c06bd3b5479d1dc9b058a8 Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 22 Sep 2021 21:45:12 -0700 Subject: [PATCH 113/117] Use numeric value for ALL_EDGE_TYPES, remove $FlowFixMe's --- packages/core/core/src/BundleGraph.js | 2 -- packages/core/graph/src/AdjacencyList.js | 4 +-- packages/core/graph/src/Graph.js | 37 +++++++++++++++++------- 3 files changed, 27 insertions(+), 16 deletions(-) diff --git a/packages/core/core/src/BundleGraph.js b/packages/core/core/src/BundleGraph.js index 54ae3c0f72f..9207b26dfef 100644 --- a/packages/core/core/src/BundleGraph.js +++ b/packages/core/core/src/BundleGraph.js @@ -1035,7 +1035,6 @@ export default class BundleGraph { }, visit, undefined, // start with root - // $FlowFixMe ALL_EDGE_TYPES, ); } @@ -1225,7 +1224,6 @@ export default class BundleGraph { return this._graph .getNodeIdsConnectedTo( this._graph.getNodeIdByContentKey(asset.id), - // $FlowFixMe ALL_EDGE_TYPES, ) .map(id => nullthrows(this._graph.getNode(id))) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index bcb292a43b2..c7fa5536ddd 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -2,7 +2,7 @@ import assert from 'assert'; import nullthrows from 'nullthrows'; import {fromNodeId, toNodeId} from './types'; -import type {NullEdgeType, AllEdgeTypes} from './Graph'; +import {ALL_EDGE_TYPES, type NullEdgeType, type AllEdgeTypes} from './Graph'; import type {NodeId} from './types'; /** The address of the node in the nodes map. */ @@ -24,8 +24,6 @@ export type AdjacencyListOptions = {| nodeCapacity?: number, |}; -export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; - /** The upper bound above which capacity should be increased. */ const LOAD_FACTOR = 0.7; /** The lower bound below which capacity should be decreased. */ diff --git a/packages/core/graph/src/Graph.js b/packages/core/graph/src/Graph.js index 325296c5378..77f15341165 100644 --- a/packages/core/graph/src/Graph.js +++ b/packages/core/graph/src/Graph.js @@ -11,22 +11,22 @@ import nullthrows from 'nullthrows'; export type NullEdgeType = 1; export type GraphOpts = {| nodes?: Map, - adjacencyList?: SerializedAdjacencyList, + adjacencyList?: SerializedAdjacencyList, rootNodeId?: ?NodeId, |}; export type SerializedGraph = {| nodes: Map, - adjacencyList: SerializedAdjacencyList, + adjacencyList: SerializedAdjacencyList, rootNodeId: ?NodeId, |}; -export type AllEdgeTypes = '@@all_edge_types'; -export const ALL_EDGE_TYPES: AllEdgeTypes = '@@all_edge_types'; +export type AllEdgeTypes = -1; +export const ALL_EDGE_TYPES: AllEdgeTypes = -1; export default class Graph { nodes: Map; - adjacencyList: AdjacencyList; + adjacencyList: AdjacencyList; rootNodeId: ?NodeId; constructor(opts: ?GraphOpts) { @@ -111,7 +111,11 @@ export default class Graph { getNodeIdsConnectedTo( nodeId: NodeId, - type: TEdgeType | NullEdgeType | Array = 1, + type: + | TEdgeType + | NullEdgeType + | Array + | AllEdgeTypes = 1, ): Array { this._assertHasNodeId(nodeId); @@ -120,7 +124,11 @@ export default class Graph { getNodeIdsConnectedFrom( nodeId: NodeId, - type: TEdgeType | NullEdgeType | Array = 1, + type: + | TEdgeType + | NullEdgeType + | Array + | AllEdgeTypes = 1, ): Array { this._assertHasNodeId(nodeId); @@ -198,7 +206,6 @@ export default class Graph { actions.stop(); } }, - // $FlowFixMe ALL_EDGE_TYPES, ); @@ -245,7 +252,11 @@ export default class Graph { traverse( visit: GraphVisitor, startNodeId: ?NodeId, - type: TEdgeType | NullEdgeType | Array = 1, + type: + | TEdgeType + | NullEdgeType + | Array + | AllEdgeTypes = 1, ): ?TContext { return this.dfs({ visit, @@ -258,7 +269,7 @@ export default class Graph { filter: (NodeId, TraversalActions) => ?TValue, visit: GraphVisitor, startNodeId: ?NodeId, - type?: TEdgeType | Array, + type?: TEdgeType | Array | AllEdgeTypes, ): ?TContext { return this.traverse(mapVisitor(filter, visit), startNodeId, type); } @@ -266,7 +277,11 @@ export default class Graph { traverseAncestors( startNodeId: ?NodeId, visit: GraphVisitor, - type: TEdgeType | NullEdgeType | Array = 1, + type: + | TEdgeType + | NullEdgeType + | Array + | AllEdgeTypes = 1, ): ?TContext { return this.dfs({ visit, From c01c641e30302fc5d3d4e1d707195170f5bb1902 Mon Sep 17 00:00:00 2001 From: thebriando Date: Wed, 22 Sep 2021 21:47:48 -0700 Subject: [PATCH 114/117] Fix flow errors --- packages/core/graph/test/AdjacencyList.test.js | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/packages/core/graph/test/AdjacencyList.test.js b/packages/core/graph/test/AdjacencyList.test.js index e3c3044ba37..6756394ad76 100644 --- a/packages/core/graph/test/AdjacencyList.test.js +++ b/packages/core/graph/test/AdjacencyList.test.js @@ -188,9 +188,9 @@ describe('AdjacencyList', () => { it('addEdge should not replace a deleted edge if the edge was already added', () => { // Mock hash fn to generate collisions - // $FlowFixMe[method-unbinding] + // $FlowFixMe[prop-missing] let originalHash = AdjacencyList.prototype.hash; - // $FlowFixMe[cannot-write] + // $FlowFixMe[prop-missing] AdjacencyList.prototype.hash = () => 1; let graph = new AdjacencyList(); @@ -203,15 +203,15 @@ describe('AdjacencyList', () => { assert(graph.addEdge(n0, n1, 1) === false); assert(graph.stats.edges === 1); - // $FlowFixMe[cannot-write] + // $FlowFixMe[prop-missing] AdjacencyList.prototype.hash = originalHash; }); it('addEdge should replace a deleted edge', () => { // Mock hash fn to generate collisions - // $FlowFixMe[method-unbinding] + // $FlowFixMe[prop-missing] let originalHash = AdjacencyList.prototype.hash; - // $FlowFixMe[cannot-write] + // $FlowFixMe[prop-missing] AdjacencyList.prototype.hash = () => 1; let graph = new AdjacencyList(); @@ -227,7 +227,7 @@ describe('AdjacencyList', () => { assert(graph.stats.edges === 1); assert(graph.stats.deleted === 0); - // $FlowFixMe[cannot-write] + // $FlowFixMe[prop-missing] AdjacencyList.prototype.hash = originalHash; }); From 710e743d539efe013603c526ea0cb7dce9643926 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Thu, 23 Sep 2021 13:28:37 -0400 Subject: [PATCH 115/117] Explain weird Flow comment type --- packages/core/graph/src/AdjacencyList.js | 2 ++ 1 file changed, 2 insertions(+) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index c7fa5536ddd..43f907d66b3 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -755,6 +755,8 @@ export class SharedTypeMap } } + // Trick Flow into believing in `Symbol.iterator`. + // See https://github.com/facebook/flow/issues/1163#issuecomment-353523840 /*:: @@iterator(): Iterator { return ({}: any); } */ // $FlowFixMe[unsupported-syntax] *[Symbol.iterator](): Iterator { From 65915e5687b11fd16ad11542070f3487fdd2d00e Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Mon, 27 Sep 2021 13:29:29 -0400 Subject: [PATCH 116/117] Fix lint errors --- packages/core/graph/src/AdjacencyList.js | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index 43f907d66b3..8e0259681ca 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -13,6 +13,7 @@ opaque type EdgeHash = number; /** The address of the edge in the edges map. */ opaque type EdgeAddress = number; +// eslint-disable-next-line no-unused-vars export type SerializedAdjacencyList = {| nodes: Uint32Array, edges: Uint32Array, @@ -36,8 +37,8 @@ const MIN_GROW_FACTOR = 2; const SHRINK_FACTOR = 0.5; export default class AdjacencyList { - #nodes: NodeTypeMap; - #edges: EdgeTypeMap; + #nodes /*: NodeTypeMap */; + #edges /*: EdgeTypeMap */; constructor( opts?: @@ -196,7 +197,6 @@ export default class AdjacencyList { }); // Copy the existing edges into the new array. - let max = fromNodeId(this.#nodes.nextId); copy.#nodes.nextId = this.#nodes.nextId; this.#edges.forEach( edge => From 07e70d0ae275e6ae7e787c4cf7f05823c49ef7e2 Mon Sep 17 00:00:00 2001 From: Eric Eldredge Date: Mon, 15 Nov 2021 19:31:39 -0500 Subject: [PATCH 117/117] prettier --- packages/core/graph/src/AdjacencyList.js | 3 ++- packages/core/graph/test/AdjacencyList.test.js | 2 +- 2 files changed, 3 insertions(+), 2 deletions(-) diff --git a/packages/core/graph/src/AdjacencyList.js b/packages/core/graph/src/AdjacencyList.js index 8e0259681ca..6f8d4c28f4b 100644 --- a/packages/core/graph/src/AdjacencyList.js +++ b/packages/core/graph/src/AdjacencyList.js @@ -534,7 +534,8 @@ export default class AdjacencyList { * └─────────────────────────────────────────────┘ */ export class SharedTypeMap - implements Iterable { + implements Iterable +{ /** * The header for the `SharedTypeMap` comprises 2 4-byte chunks: * diff --git a/packages/core/graph/test/AdjacencyList.test.js b/packages/core/graph/test/AdjacencyList.test.js index 6756394ad76..4814422083e 100644 --- a/packages/core/graph/test/AdjacencyList.test.js +++ b/packages/core/graph/test/AdjacencyList.test.js @@ -231,7 +231,7 @@ describe('AdjacencyList', () => { AdjacencyList.prototype.hash = originalHash; }); - describe('deserialize', function() { + describe('deserialize', function () { this.timeout(10000); it('should share the underlying data across worker threads', async () => {