[9102] | 1 | ///
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| 2 | /// This file is part of ILNumerics Community Edition.
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| 3 | ///
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| 4 | /// ILNumerics Community Edition - high performance computing for applications.
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| 5 | /// Copyright (C) 2006 - 2012 Haymo Kutschbach, http://ilnumerics.net
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| 6 | ///
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| 7 | /// ILNumerics Community Edition is free software: you can redistribute it and/or modify
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| 8 | /// it under the terms of the GNU General Public License version 3 as published by
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| 9 | /// the Free Software Foundation.
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| 10 | ///
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| 11 | /// ILNumerics Community Edition is distributed in the hope that it will be useful,
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| 12 | /// but WITHOUT ANY WARRANTY; without even the implied warranty of
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| 13 | /// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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| 14 | /// GNU General Public License for more details.
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| 15 | ///
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| 16 | /// You should have received a copy of the GNU General Public License
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| 17 | /// along with ILNumerics Community Edition. See the file License.txt in the root
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| 18 | /// of your distribution package. If not, see <http://www.gnu.org/licenses/>.
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| 19 | ///
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| 20 | /// In addition this software uses the following components and/or licenses:
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| 21 | ///
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| 22 | /// =================================================================================
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| 23 | /// The Open Toolkit Library License
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| 24 | ///
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| 25 | /// Copyright (c) 2006 - 2009 the Open Toolkit library.
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| 26 | ///
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| 27 | /// Permission is hereby granted, free of charge, to any person obtaining a copy
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| 28 | /// of this software and associated documentation files (the "Software"), to deal
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| 29 | /// in the Software without restriction, including without limitation the rights to
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| 30 | /// use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
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| 31 | /// the Software, and to permit persons to whom the Software is furnished to do
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| 32 | /// so, subject to the following conditions:
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| 33 | ///
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| 34 | /// The above copyright notice and this permission notice shall be included in all
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| 35 | /// copies or substantial portions of the Software.
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| 36 | ///
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| 37 | /// =================================================================================
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| 38 | ///
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| 39 |
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| 40 | using System;
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| 41 | using System.Collections.Generic;
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| 42 | using System.Threading;
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| 43 | using System.Text;
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| 44 | using ILNumerics.Exceptions;
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| 45 |
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| 46 | namespace ILNumerics {
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| 47 |
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| 48 |
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| 49 | public partial class ILMath {
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| 50 |
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| 51 | /// <summary>
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| 52 | /// find clusters for data matrix X
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| 53 | /// </summary>
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| 54 | /// <param name="X">data matrix, data points are given as columns</param>
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| 55 | /// <param name="k">initial number of clusters expected</param>
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| 56 | /// <param name="centerInitRandom">false: pick the first k data points as initial centers, true: pick random datapoints</param>
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| 57 | /// <param name="maxIterations">maximum number of iterations, the computation will exit after that many iterations.</param>
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| 58 | /// <returns>vector of length n with with indices of clusters assigned to each datapoint</returns>
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| 59 | public static ILRetArray<double> kMeansClustMT(ILInArray<double> X, ILBaseArray k, int maxIterations, bool centerInitRandom) {
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| 60 | return kMeansClustMT(X, k, maxIterations, centerInitRandom, null);
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| 61 | }
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| 62 | /// <summary>
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| 63 | /// find clusters for data matrix X
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| 64 | /// </summary>
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| 65 | /// <param name="X">data matrix, data points are given as columns</param>
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| 66 | /// <param name="k">initial number of clusters expected</param>
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| 67 | /// <param name="centerInitRandom">false: pick the first k data points as initial centers, true: pick random datapoints</param>
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| 68 | /// <param name="maxIterations">maximum number of iterations, the computation will exit after that many iterations.</param>
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| 69 | /// <param name="outCenters">return type. if assigned on entry, outCenters will contain the centers of the clusters found.</param>
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| 70 | /// <returns>vector of length n with with indices of clusters assigned to each datapoint</returns>
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| 71 | public static ILRetArray<double> kMeansClustMT (ILInArray<double> X, ILBaseArray k, int maxIterations, bool centerInitRandom, ILOutArray<double> outCenters) {
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| 72 | using (ILScope.Enter(X, k)) {
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| 73 | if (object.Equals(X,null)) {
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| 74 | throw new ILArgumentException("X must be data matrix (not null)");
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| 75 | }
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| 76 | if (X.IsEmpty) {
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| 77 | if (!object.Equals(outCenters, null)) {
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| 78 | if (X.D[0] > 0) {
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| 79 | outCenters.a = empty<double>(new ILSize(X.D[0], 0));
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| 80 | } else {
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| 81 | outCenters.a = empty<double>(new ILSize(0, X.D[1]));
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| 82 | }
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| 83 | return empty<double>(X.D);
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| 84 | }
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| 85 | }
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| 86 | if (object.Equals(k,null) || !k.IsScalar || !k.IsNumeric) {
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| 87 | throw new ILArgumentException("number of clusters k must be numeric scalar");
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| 88 | }
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| 89 | int iK = toint32(k).GetValue(0);
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| 90 | if (X.D[1] < iK) {
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| 91 | throw new ILArgumentException("too few datapoints provided for " + iK.ToString() + " clusters");
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| 92 | }
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| 93 | if (iK < 0) {
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| 94 | throw new ILArgumentException("number of clusters must be positive");
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| 95 | }
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| 96 | int d = X.D[0], n = X.D[1];
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| 97 | if (iK == 0) {
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| 98 | if (!object.Equals(outCenters, null)) {
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| 99 | outCenters.a = empty<double>(new ILSize(d,iK));
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| 100 | }
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| 101 | return empty<double>(new ILSize(0,n));
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| 102 | }
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| 103 |
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| 104 | // initialize centers by using random datapoints
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| 105 | ILArray<double> centers = empty();
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| 106 | if (centerInitRandom) {
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| 107 | ILArray<double> pickIndices = empty();
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| 108 | sort(rand(1,n),pickIndices,1,false).Dispose();
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| 109 | centers.a = X[full,pickIndices[r(0,iK-1)]];
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| 110 | } else {
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| 111 | centers.a = X[full,r(0,iK-1)];
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| 112 | }
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| 113 |
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| 114 | ILArray<double> classes = zeros(1,n);
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| 115 | ILArray<double> oldCenters = centers.C;
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| 116 | #if KMEANSVERBOSE
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| 117 | System.Diagnostics.Stopwatch sw = new System.Diagnostics.Stopwatch();
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| 118 | #endif
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| 119 | int maxNTSetting = Settings.MaxNumberThreads, workerCount = 1, workItemLen = 0;
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| 120 | int workItemCount = maxNTSetting;
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| 121 | int wi = 0;
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| 122 | Settings.MaxNumberThreads = 1;
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| 123 | Action<object> loopOverN = data => {
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| 124 | Tuple<ILInArray<double>, ILInArray<double>, ILOutArray<double>> rng
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| 125 | = (Tuple<ILInArray<double>, ILInArray<double>, ILOutArray<double>>)data;
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| 126 | try {
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| 127 | using (ILScope.Enter(rng.Item1, rng.Item2)) {
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| 128 | ILArray<double> Xl = rng.Item1;
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| 129 | ILArray<double> centersl = rng.Item2;
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| 130 | for (int i = Xl.D[1]; i-- > 0; ) {
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| 131 | ILArray<double> minDistIdx = empty();
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| 132 | min(sum(abs(centersl - repmat(Xl[full, i], 1, iK))), minDistIdx, 1).Dispose();
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| 133 | rng.Item3[i] = minDistIdx[0];
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| 134 | }
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| 135 | }
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| 136 | } finally {
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| 137 | Interlocked.Decrement(ref workerCount);
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| 138 | }
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| 139 | };
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| 140 | List<ILArray<double>> classesSplit = new List<ILArray<double>>(workItemCount);
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| 141 | List<ILArray<double>> XSplit = new List<ILArray<double>>(workItemCount);
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| 142 |
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| 143 | while (maxIterations --> 0) {
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| 144 | #if KMEANSVERBOSE
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| 145 | sw.Restart();
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| 146 | #endif
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| 147 | workItemLen = n / workItemCount;
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| 148 | workerCount = 1;
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| 149 | for (wi = 0; wi < workItemCount - 1; wi++) {
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| 150 | if (classesSplit.Count <= wi) {
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| 151 | classesSplit.Add(zeros<double>(1,workItemLen));
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| 152 | }
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| 153 | if (XSplit.Count <= wi) {
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| 154 | XSplit.Add(X[full,r(wi * workItemLen, (wi + 1) * workItemLen - 1)]);
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| 155 | }
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| 156 | Tuple<ILInArray<double>, ILInArray<double>, ILOutArray<double>> rng
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| 157 | = new Tuple<ILInArray<double>, ILInArray<double>, ILOutArray<double>>(
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| 158 | XSplit[wi], centers.C, classesSplit[wi]);
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| 159 | Interlocked.Increment(ref workerCount);
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| 160 | ThreadPool.QueueUserWorkItem(new WaitCallback(loopOverN), rng);
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| 161 | }
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| 162 | // loop for main thread
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| 163 | ILArray<double> tmpOutClasses = zeros<double>(1,n - wi * workItemLen);
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| 164 | Tuple<ILInArray<double>, ILInArray<double>, ILOutArray<double>> rngL
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| 165 | = new Tuple<ILInArray<double>, ILInArray<double>, ILOutArray<double>>(
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| 166 | X[full, r(wi * workItemLen, n - 1)], centers.C, tmpOutClasses);
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| 167 | loopOverN(rngL);
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| 168 | classes[r(wi * workItemLen, n - 1)] = tmpOutClasses;
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| 169 |
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| 170 | SpinWait.SpinUntil(() => { return workerCount <= 0; });
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| 171 | Settings.MaxNumberThreads = maxNTSetting;
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| 172 | // resamble
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| 173 | for (wi = 0; wi < workItemCount - 1; wi++)
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| 174 | {
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| 175 | classes[r(wi * workItemLen, (wi + 1)* workItemLen - 1)] = classesSplit[wi];
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| 176 | }
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| 177 | System.Diagnostics.Debug.Print("kmeans: 1 of {0} MemoryPool.Info: {1}", maxIterations, ILMemoryPool.Pool.Info(true));
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| 178 | for (int i = 0; i < iK; i++) {
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| 179 | using (EnterScope()) {
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| 180 | ILArray<double> inClass = X[full, find(classes == i)];
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| 181 | if (inClass.IsEmpty) {
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| 182 | centers[full, i] = double.NaN;
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| 183 | } else {
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| 184 | centers[full, i] = mean(inClass, 1);
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| 185 | ILArray<double> inClassDiff = inClass - repmat(centers[full, i], 1, size(inClass, 1));
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| 186 | }
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| 187 | }
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| 188 | }
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| 189 | #if KMEANSVERBOSE
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| 190 | sw.Stop();
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| 191 | Console.Out.WriteLine("Changed centers: {0} elapsed: {1}ms",(double)sum(any(oldCenters != centers)), sw.ElapsedMilliseconds);
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| 192 | #endif
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| 193 | if (allall(oldCenters == centers)) break;
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| 194 | oldCenters.a = centers.C;
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| 195 | }
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| 196 | if (!object.Equals(outCenters, null))
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| 197 | outCenters.a = centers;
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| 198 | return classes;
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| 199 | }
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| 200 | }
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| 201 |
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| 202 | }
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| 203 | } |
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