/* Copyright 2008-2013 Gephi Authors : Mathieu Bastian <mathieu.bastian@gephi.org> Website : http://www.gephi.org This file is part of Gephi. DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS HEADER. Copyright 2013 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 2013 Gephi Consortium. */ package org.gephi.appearance.plugin.palette; import java.awt.Color; import java.util.ArrayList; import java.util.Arrays; import java.util.LinkedList; import java.util.List; import java.util.Random; /** * * @author mbastian */ public class PaletteGenerator { private static final float[] DEFAULT_FILTER = new float[]{0, 360, 0, 3, 0, 1.5f}; public static Color[] generatePalette(int colorsCount, int quality) { return generatePalette(colorsCount, quality, false, null, null); } public static Color[] generatePalette(int colorsCount, int quality, Random random) { return generatePalette(colorsCount, quality, false, random, null); } public static Color[] generatePalette(int colorsCount, int quality, float[] filter) { return generatePalette(colorsCount, quality, false, null, filter); } public static Color[] generatePalette(int colorsCount, int quality, boolean ultraPrecision, Random random, float[] filter) { if (filter == null) { filter = DEFAULT_FILTER; } if (random == null) { random = new Random(); } double[][] kMeans = generateRandomKmeans(colorsCount, random, filter); List<double[]> colorSamples = new ArrayList<>(); if (ultraPrecision) { for (double l = 0; l <= 1; l += 0.01) { for (double a = -1; a <= 1; a += 0.05) { for (double b = -1; b <= 1; b += 0.05) { if (checkColor2(l, a, b, filter)) { colorSamples.add(new double[]{l, a, b}); } } } } } else { for (double l = 0; l <= 1; l += 0.05) { for (double a = -1; a <= 1; a += 0.1) { for (double b = -1; b <= 1; b += 0.1) { if (checkColor2(l, a, b, filter)) { colorSamples.add(new double[]{l, a, b}); } } } } } // Steps int[] samplesClosest = new int[colorSamples.size()]; int steps = quality; while (steps-- > 0) { // kMeans -> Samples Closest for (int i = 0; i < colorSamples.size(); i++) { double[] lab = colorSamples.get(i); double minDistance = 1000000; for (int j = 0; j < kMeans.length; j++) { double[] kMean = kMeans[j]; double distance = Math.sqrt(Math.pow(lab[0] - kMean[0], 2) + Math.pow(lab[1] - kMean[1], 2) + Math.pow(lab[2] - kMean[2], 2)); if (distance < minDistance) { minDistance = distance; samplesClosest[i] = j; } } } // Samples -> kMeans List<double[]> freeColorSamples = colorSamples; for (int j = 0; j < kMeans.length; j++) { int count = 0; double[] candidateKMean = new double[]{0, 0, 0}; for (int i = 0; i < colorSamples.size(); i++) { if (samplesClosest[i] == j) { count++; double[] colorSample = colorSamples.get(i); candidateKMean[0] += colorSample[0]; candidateKMean[1] += colorSample[1]; candidateKMean[2] += colorSample[2]; } } if (count != 0) { candidateKMean[0] /= count; candidateKMean[1] /= count; candidateKMean[2] /= count; } if (count != 0 && checkColor2(candidateKMean[0], candidateKMean[1], candidateKMean[2], filter)) { kMeans[j] = candidateKMean; } else // The candidate kMean is out of the boundaries of the color space, or unfound. if (freeColorSamples.size() > 0) { // We just search for the closest FREE color of the candidate kMean double minDistance = 10000000000.0; int closest = -1; for (int i = 0; i < freeColorSamples.size(); i++) { double distance = Math.sqrt(Math.pow(freeColorSamples.get(i)[0] - candidateKMean[0], 2) + Math.pow(freeColorSamples.get(i)[1] - candidateKMean[1], 2) + Math.pow(freeColorSamples.get(i)[2] - candidateKMean[2], 2)); if (distance < minDistance) { minDistance = distance; closest = i; } } kMeans[j] = colorSamples.get(closest); } else { // Then we just search for the closest color of the candidate kMean double minDistance = 10000000000.0; int closest = -1; for (int i = 0; i < colorSamples.size(); i++) { double distance = Math.sqrt(Math.pow(colorSamples.get(i)[0] - candidateKMean[0], 2) + Math.pow(colorSamples.get(i)[1] - candidateKMean[1], 2) + Math.pow(colorSamples.get(i)[2] - candidateKMean[2], 2)); if (distance < minDistance) { minDistance = distance; closest = i; } } kMeans[j] = colorSamples.get(closest); } List<double[]> newFreeColorSamples = new ArrayList<>(); for (double[] color : freeColorSamples) { double[] kMean = kMeans[j]; if (color[0] != kMean[0] || color[1] != kMean[1] || color[2] != kMean[2]) { newFreeColorSamples.add(color); } } freeColorSamples = newFreeColorSamples; } } kMeans = sortColors(kMeans); Color[] res = new Color[kMeans.length]; for (int i = 0; i < kMeans.length; i++) { double[] kmean = kMeans[i]; int[] rgb = lab2rgb(kmean[0], kmean[1], kmean[2]); res[i] = new Color(rgb[0], rgb[1], rgb[2]); } return res; } private static double[][] generateRandomKmeans(int colorsCount, Random random, float[] filter) { double[][] kMeans = new double[colorsCount][]; for (int i = 0; i < colorsCount; i++) { double[] lab = new double[]{random.nextDouble(), 2 * random.nextDouble() - 1, 2 * random.nextDouble() - 1}; while (!checkColor2(lab, filter)) { lab = new double[]{random.nextDouble(), 2 * random.nextDouble() - 1, 2 * random.nextDouble() - 1}; } kMeans[i] = lab; } return kMeans; } private static double[][] sortColors(double[][] colors) { LinkedList<double[]> colorsToSort = new LinkedList<>(Arrays.asList(colors)); List<double[]> diffColors = new ArrayList<>(); diffColors.add(colorsToSort.pop()); while (colorsToSort.size() > 0) { int index = -1; double maxDistance = -1; for (int candidate_index = 0; candidate_index < colorsToSort.size(); candidate_index++) { double d = 1000000000; for (int i = 0; i < diffColors.size(); i++) { double[] colorA = colorsToSort.get(candidate_index); double[] colorB = diffColors.get(i); double dl = colorA[0] - colorB[0]; double da = colorA[1] - colorB[1]; double db = colorA[2] - colorB[2]; d = Math.min(d, Math.sqrt(Math.pow(dl, 2) + Math.pow(da, 2) + Math.pow(db, 2))); } if (d > maxDistance) { maxDistance = d; index = candidate_index; } } double[] color = colorsToSort.get(index); diffColors.add(color); colorsToSort.remove(index); } double[][] res = new double[diffColors.size()][]; for (int i = 0; i < diffColors.size(); i++) { res[i] = diffColors.get(i); } return res; } private static boolean checkColor2(double[] lab, float[] filter) { return checkColor2(lab[0], lab[1], lab[2], filter); } private static boolean checkColor2(double l, double a, double b, float[] filter) { int[] rgb = lab2rgb(l, a, b); double[] hcl = lab2hcl(l, a, b); // Check that a color is valid: it must verify our checkColor condition, but also be in the color space return !Double.isNaN(rgb[0]) && rgb[0] >= 0 && rgb[1] >= 0 && rgb[2] >= 0 && rgb[0] < 256 && rgb[1] < 256 && rgb[2] < 256 && (filter[0] < filter[1] ? (hcl[0] >= filter[0] && hcl[0] <= filter[1]) : (hcl[0] >= filter[0] || hcl[0] <= filter[1])) && hcl[1] >= filter[2] && hcl[1] <= filter[3] && hcl[2] >= filter[4] && hcl[2] <= filter[5]; } private static int[] lab2rgb(double l, double a, double b) { double[] xyz = lab2xyz(l, a, b); return xyz2rgb(xyz[0], xyz[1], xyz[2]); } private static double[] lab2xyz(double l, double a, double b) { double sl = (l + 0.16) / 1.16; double[] ill = new double[]{0.96421, 1.00000, 0.82519}; double y = ill[1] * finv(sl); double x = ill[0] * finv(sl + (a / 5.0)); double z = ill[2] * finv(sl - (b / 2.0)); return new double[]{x, y, z}; } private static int[] xyz2rgb(double x, double y, double z) { double rl = 3.2406 * x - 1.5372 * y - 0.4986 * z; double gl = -0.9689 * x + 1.8758 * y + 0.0415 * z; double bl = 0.0557 * x - 0.2040 * y + 1.0570 * z; boolean clip = Math.min(rl, Math.min(gl, bl)) < -0.001 || Math.max(rl, Math.max(gl, bl)) > 1.001; if (clip) { rl = rl < 0.0 ? 0.0 : rl > 1.0 ? 1.0 : rl; gl = gl < 0.0 ? 0.0 : gl > 1.0 ? 1.0 : gl; bl = bl < 0.0 ? 0.0 : bl > 1.0 ? 1.0 : bl; } int r = (int) Math.round(255.0 * correct1(rl)); int g = (int) Math.round(255.0 * correct1(gl)); int b = (int) Math.round(255.0 * correct1(bl)); return new int[]{r, g, b}; } private static double[] rgb2lab(int r, int g, int b) { double[] xyz = rgb2xyz(r, g, b); return xyz2lab(xyz[0], xyz[1], xyz[2]); } private static double[] rgb2xyz(int r, int g, int b) { double rl = correct2(r / 255.0); double gl = correct2(g / 255.0); double bl = correct2(b / 255.0); double x = 0.4124 * rl + 0.3576 * gl + 0.1805 * bl; double y = 0.2126 * rl + 0.7152 * gl + 0.0722 * bl; double z = 0.0193 * rl + 0.1192 * gl + 0.9505 * bl; return new double[]{x, y, z}; } private static double[] xyz2lab(double x, double y, double z) { double[] ill = new double[]{0.96421, 1.00000, 0.82519}; double l = 1.16 * flab(y / ill[1]) - 0.16; double a = 5 * (flab(x / ill[0]) - flab(y / ill[1])); double b = 2 * (flab(y / ill[1]) - flab(z / ill[2])); return new double[]{l, a, b}; } private static double[] lab2hcl(double l, double a, double b) { l = (l - 0.09) / 0.61; double r = Math.sqrt(a * a + b * b); double s = r / (l * 0.311 + 0.125); double TAU = 6.283185307179586476925287; double angle = Math.atan2(a, b); double c = (TAU / 6.0 - angle) / TAU; c *= 360; if (c < 0) { c += 360; } return new double[]{c, s, l}; } private static double finv(double t) { if (t > (6.0 / 29.0)) { return t * t * t; } else { return 3 * (6.0 / 29.0) * (6.0 / 29.0) * (t - 4.0 / 29.0); } } private static double flab(double t) { if (t > Math.pow(6.0 / 29.0, 3)) { return Math.pow(t, 1.0 / 3.0); } else { return (1.0 / 3.0) * (29.0 / 6.0) * (29.0 / 6.0) * t + 4.0 / 29.0; } } private static double correct1(double cl) { double a = 0.055; if (cl <= 0.0031308) { return 12.92 * cl; } else { return (1 + a) * Math.pow(cl, 1.0 / 2.4) - a; } } private static double correct2(double c) { double a = 0.055; if (c <= 0.04045) { return c / 12.92; } else { return Math.pow((c + a) / (1.0 + a), 2.4); } } }