/* Copyright 2008-2012 Gephi Authors : Taras Klaskovsky <megaterik@gmail.com> Website : http://www.gephi.org This file is part of Gephi. DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS HEADER. Copyright 2011 Gephi Consortium. All rights reserved. The contents of this file are subject to the terms of either the GNU General Public License Version 3 only ("GPL") or the Common Development and Distribution License("CDDL") (collectively, the "License"). You may not use this file except in compliance with the License. You can obtain a copy of the License at http://gephi.org/about/legal/license-notice/ or /cddl-1.0.txt and /gpl-3.0.txt. See the License for the specific language governing permissions and limitations under the License. When distributing the software, include this License Header Notice in each file and include the License files at /cddl-1.0.txt and /gpl-3.0.txt. 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Contributor(s): Portions Copyrighted 2011 Gephi Consortium. */ package org.gephi.fdeb.utils; import java.awt.Point; import java.awt.geom.Point2D; import java.util.ArrayList; import java.util.List; import org.gephi.fdeb.FDEBCompatibilityRecord; import org.gephi.fdeb.FDEBLayoutData; import org.gephi.graph.api.*; import org.gephi.utils.StatisticsUtils; /** * * @author Taras Klaskovsky <megaterik@gmail.com> */ public class FDEBUtilities { static final double EPS = 1e-6; /* * Gives fair estimations for good results in small and medium graphs. Big graphs might need greater values. */ static public double calculateInitialStepSize(Graph graph) { double higherDistances2; double xDiff, yDiff; Edge edges[] = graph.getEdges().toArray(); Number distances2[] = new Number[edges.length]; for (int i = 0; i < edges.length; i++) { Edge edge = edges[i]; xDiff = edge.getSource().getNodeData().x() - edge.getTarget().getNodeData().x(); yDiff = edge.getSource().getNodeData().y() - edge.getTarget().getNodeData().y(); distances2[i] = (xDiff * xDiff + yDiff * yDiff); } higherDistances2 = StatisticsUtils.quartile3(distances2).doubleValue(); return Math.sqrt(higherDistances2) / 50; } static public void divideEdge(Edge edge, double subdivisionPointsPerEdge) { if (edge.isSelfLoop()) { return; } FDEBLayoutData data = (FDEBLayoutData) edge.getEdgeData().getLayoutData(); Point.Double[] subdivisionPoints = new Point.Double[(int) (subdivisionPointsPerEdge + 2)];//+source/target double totalLength = 0.0; for (int i = 1; i < data.subdivisionPoints.length; i++) { totalLength += Point.Double.distance(data.subdivisionPoints[i - 1].x, data.subdivisionPoints[i - 1].y, data.subdivisionPoints[i].x, data.subdivisionPoints[i].y); } double lengthPerPoint = totalLength / (((int) subdivisionPointsPerEdge) + 1); double remainingLengthPerPoint = lengthPerPoint; int curSubdivisionPoint = 1; for (int i = 1; i < data.subdivisionPoints.length; i++) { double lengthOfEdge = Point.Double.distance(data.subdivisionPoints[i - 1].x, data.subdivisionPoints[i - 1].y, data.subdivisionPoints[i].x, data.subdivisionPoints[i].y); double remainingLengthOfEdge = lengthOfEdge; while (remainingLengthPerPoint < remainingLengthOfEdge) { remainingLengthOfEdge -= remainingLengthPerPoint; double coef = (lengthOfEdge - remainingLengthOfEdge) / (lengthOfEdge);//0.0--source, 1.0 -- target subdivisionPoints[curSubdivisionPoint] = new Point2D.Double( data.subdivisionPoints[i - 1].x + coef * (data.subdivisionPoints[i].x - data.subdivisionPoints[i - 1].x), data.subdivisionPoints[i - 1].y + coef * (data.subdivisionPoints[i].y - data.subdivisionPoints[i - 1].y)); curSubdivisionPoint++; remainingLengthPerPoint = lengthPerPoint; } remainingLengthPerPoint -= remainingLengthOfEdge; } subdivisionPoints[0] = data.subdivisionPoints[0];//source subdivisionPoints[subdivisionPoints.length - 1] = data.subdivisionPoints[data.subdivisionPoints.length - 1];//target data.subdivisionPoints = subdivisionPoints; } static public void createCompatibilityRecords(double compatibilityThreshold, Graph graph, FDEBCompatibilityComputator computator) { Edge[] edges = graph.getEdges().toArray(); List<FDEBCompatibilityRecord> compatibleEdgeLists[] = new List[edges.length]; for (int i = 0; i < compatibleEdgeLists.length; i++) { compatibleEdgeLists[i] = new ArrayList<FDEBCompatibilityRecord>(); } int numEdges = edges.length; for (int i = 0; i < edges.length; i++) { ((FDEBLayoutData) edges[i].getEdgeData().getLayoutData()).intensity = 0; } for (int i = 0; i < numEdges; i++) { for (int j = 0; j < i; j++) { double compatibility = computator.calculateCompatibility(edges[i], edges[j]); ((FDEBLayoutData) edges[i].getEdgeData().getLayoutData()).intensity += compatibility * compatibility; ((FDEBLayoutData) edges[j].getEdgeData().getLayoutData()).intensity += compatibility * compatibility; if (Math.abs(compatibility) >= compatibilityThreshold) { compatibleEdgeLists[i].add(new FDEBCompatibilityRecord(compatibility, edges[j])); compatibleEdgeLists[j].add(new FDEBCompatibilityRecord(compatibility, edges[i])); } } } for (int i = 0; i < edges.length; i++) { ((FDEBLayoutData) edges[i].getEdgeData().getLayoutData()).similarEdges = compatibleEdgeLists[i].toArray(new FDEBCompatibilityRecord[0]); } } static public void createCompatibilityRecords(Edge edge, double compatibilityThreshold, Graph graph, FDEBCompatibilityComputator computator) { ArrayList<FDEBCompatibilityRecord> similar = new ArrayList<FDEBCompatibilityRecord>(); if (edge.isSelfLoop()) { ((FDEBLayoutData) edge.getEdgeData().getLayoutData()).similarEdges = new FDEBCompatibilityRecord[0]; } ((FDEBLayoutData) edge.getEdgeData().getLayoutData()).intensity = 0; for (Edge probablySimilarEdge : graph.getEdges().toArray()) { if (probablySimilarEdge.isSelfLoop() || probablySimilarEdge == edge) { continue; } double compatibility = computator.calculateCompatibility(edge, probablySimilarEdge); ((FDEBLayoutData) edge.getEdgeData().getLayoutData()).intensity += compatibility * compatibility; if (compatibility < compatibilityThreshold) { continue; } similar.add(new FDEBCompatibilityRecord(compatibility, probablySimilarEdge)); } ((FDEBLayoutData) edge.getEdgeData().getLayoutData()).similarEdges = new FDEBCompatibilityRecord[similar.size()]; for (int i = 0; i < similar.size(); i++) { ((FDEBLayoutData) edge.getEdgeData().getLayoutData()).similarEdges[i] = similar.get(i); } } static public void updateNewSubdivisionPoints(Edge edge, double springConstant, double stepSize, boolean useInverseQuadraticModel) { if (edge.isSelfLoop()) { return; } FDEBLayoutData data = edge.getEdgeData().getLayoutData(); double k = springConstant / (data.length * (data.subdivisionPoints.length - 1)); for (int i = 1; i < data.subdivisionPoints.length - 1; i++) {//first and last are fixed double Fsi_x = (data.subdivisionPoints[i - 1].x - data.subdivisionPoints[i].x) + (data.subdivisionPoints[i + 1].x - data.subdivisionPoints[i].x); double Fsi_y = (data.subdivisionPoints[i - 1].y - data.subdivisionPoints[i].y) + (data.subdivisionPoints[i + 1].y - data.subdivisionPoints[i].y); Fsi_x *= k; Fsi_y *= k; double Fei_x = 0; double Fei_y = 0; for (FDEBCompatibilityRecord record : (((FDEBLayoutData) edge.getEdgeData().getLayoutData())).similarEdges) { Edge moveEdge = record.edgeWith; if (moveEdge.isSelfLoop()) { continue; } FDEBLayoutData moveData = moveEdge.getEdgeData().getLayoutData(); double v_x = moveData.subdivisionPoints[i].x - data.subdivisionPoints[i].x; double v_y = moveData.subdivisionPoints[i].y - data.subdivisionPoints[i].y; if (Math.abs(v_x) > EPS || Math.abs(v_y) > EPS) { double len_sq = v_x * v_x + v_y * v_y; double len = Math.sqrt(len_sq); double m; if (useInverseQuadraticModel) { m = (record.compatibility / len / len_sq); } else { m = (record.compatibility / len_sq); } if (Math.abs(m * stepSize) > 1.0) { // this condition is to reduce the "hairy" effect: // a point shouldn't be moved farther than to the // point which attracts it m = Math.signum(m) / stepSize; // TODO: this force difference shouldn't be neglected // instead it should make it more difficult to move the // point from it's current position: this should reduce // the effect even more } v_x *= m; v_y *= m; Fei_x += v_x; Fei_y += v_y; } } /* * store new coordinates to update them simultaniously */ data.newSubdivisionPoints[i] = new Point.Double(data.subdivisionPoints[i].x + stepSize * (Fei_x + Fsi_x), data.subdivisionPoints[i].y + stepSize * (Fei_y + Fsi_y)); } } static public void updateNewSubdivisionPointsInLowMemoryMode(Edge edge, double springConstant, double stepSize, boolean useInverseQuadraticModel, Graph graph, FDEBCompatibilityComputator comp, double threshold) { if (edge.isSelfLoop()) { return; } FDEBLayoutData data = edge.getEdgeData().getLayoutData(); double k = springConstant / (data.length * (data.subdivisionPoints.length - 1)); for (int i = 1; i < data.subdivisionPoints.length - 1; i++)//first and last are fixed { double Fsi_x = (data.subdivisionPoints[i - 1].x - data.subdivisionPoints[i].x) + (data.subdivisionPoints[i + 1].x - data.subdivisionPoints[i].x); double Fsi_y = (data.subdivisionPoints[i - 1].y - data.subdivisionPoints[i].y) + (data.subdivisionPoints[i + 1].y - data.subdivisionPoints[i].y); { Fsi_x *= k; Fsi_y *= k; } double Fei_x = 0; double Fei_y = 0; for (Edge moveEdge : graph.getEdges().toArray()) { if (moveEdge.isSelfLoop() || edge == moveEdge) { continue; } double compatibility = comp.calculateCompatibility(edge, moveEdge); if (compatibility < threshold) { continue; } FDEBLayoutData moveData = moveEdge.getEdgeData().getLayoutData(); double v_x = moveData.subdivisionPoints[i].x - data.subdivisionPoints[i].x; double v_y = moveData.subdivisionPoints[i].y - data.subdivisionPoints[i].y; if (Math.abs(v_x) > EPS || Math.abs(v_y) > EPS) { double len_sq = v_x * v_x + v_y * v_y; double len = Math.sqrt(len_sq); double m; if (useInverseQuadraticModel) { m = (compatibility / len / len_sq); } else { m = (compatibility / len_sq); } if (Math.abs(m * stepSize) > 1.0) { // this condition is to reduce the "hairy" effect: // a point shouldn't be moved farther than to the // point which attracts it m = Math.signum(m) / stepSize; // TODO: this force difference shouldn't be neglected // instead it should make it more difficult to move the // point from it's current position: this should reduce // the effect even more } v_x *= m; v_y *= m; Fei_x += v_x; Fei_y += v_y; } } /* * store new coordinates to update them simultaniously */ data.newSubdivisionPoints[i] = new Point.Double(data.subdivisionPoints[i].x + stepSize * (Fei_x + Fsi_x), data.subdivisionPoints[i].y + stepSize * (Fei_y + Fsi_y)); } } }