1 | using System;
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2 | using System.Diagnostics;
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3 | using System.Threading;
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4 | using System.Threading.Tasks;
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5 | using HeuristicLab.Common;
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6 | using HeuristicLab.Core;
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7 | using HeuristicLab.Data;
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8 | using HeuristicLab.Optimization;
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9 | using HeuristicLab.Persistence.Default.CompositeSerializers.Storable;
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10 |
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11 | namespace HeuristicLab.Algorithms.Benchmarks {
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12 | [Item("Linpack Algorithm", "A Linpack benchmark algorithm.")]
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13 | [Creatable("Benchmarks")]
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14 | [StorableClass]
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15 | public class Linpack : Algorithm {
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16 | private DateTime lastUpdateTime;
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17 |
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18 | [Storable]
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19 | private ResultCollection results;
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20 |
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21 | #region Benchmark Fields
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22 |
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23 | private const int DEFAULT_PSIZE = 1500;
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24 |
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25 | private double eps_result = 0.0;
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26 | private double mflops_result = 0.0;
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27 | private double residn_result = 0.0;
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28 | private double time_result = 0.0;
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29 | private double total = 0.0;
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30 |
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31 | private Stopwatch sw = new Stopwatch();
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32 |
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33 | #endregion
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34 |
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35 | #region Properties
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36 |
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37 | public override ResultCollection Results {
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38 | get { return results; }
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39 | }
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40 |
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41 | #endregion
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42 |
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43 | #region Costructors
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44 |
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45 | public Linpack()
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46 | : base() {
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47 | results = new ResultCollection();
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48 | }
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49 |
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50 | private Linpack(Linpack original, Cloner cloner)
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51 | : base(original, cloner) {
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52 | results = new ResultCollection();
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53 | }
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54 |
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55 | #endregion
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56 |
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57 | public override IDeepCloneable Clone(Cloner cloner) {
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58 | return new Linpack(this, cloner);
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59 | }
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60 |
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61 | public override void Prepare() {
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62 | results.Clear();
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63 | OnPrepared();
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64 | }
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65 |
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66 | public override void Start() {
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67 | var cancellationTokenSource = new CancellationTokenSource();
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68 | OnStarted();
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69 | Task task = Task.Factory.StartNew(Run, cancellationTokenSource.Token, cancellationTokenSource.Token);
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70 | task.ContinueWith(t => {
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71 | try {
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72 | t.Wait();
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73 | }
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74 | catch (AggregateException ex) {
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75 | try {
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76 | ex.Flatten().Handle(x => x is OperationCanceledException);
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77 | }
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78 | catch (AggregateException remaining) {
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79 | if (remaining.InnerExceptions.Count == 1) OnExceptionOccurred(remaining.InnerExceptions[0]);
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80 | else OnExceptionOccurred(remaining);
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81 | }
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82 | }
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83 | cancellationTokenSource.Dispose();
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84 | cancellationTokenSource = null;
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85 | OnStopped();
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86 | });
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87 | }
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88 |
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89 | private void Run(object state) {
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90 | CancellationToken cancellationToken = (CancellationToken)state;
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91 | lastUpdateTime = DateTime.Now;
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92 | System.Timers.Timer timer = new System.Timers.Timer(250);
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93 | timer.AutoReset = true;
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94 | timer.Elapsed += new System.Timers.ElapsedEventHandler(timer_Elapsed);
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95 | timer.Start();
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96 | try {
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97 | RunBenchmark();
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98 | }
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99 | finally {
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100 | timer.Elapsed -= new System.Timers.ElapsedEventHandler(timer_Elapsed);
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101 | timer.Stop();
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102 | ExecutionTime += DateTime.Now - lastUpdateTime;
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103 | }
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104 |
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105 | cancellationToken.ThrowIfCancellationRequested();
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106 | }
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107 |
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108 | private void timer_Elapsed(object sender, System.Timers.ElapsedEventArgs e) {
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109 | System.Timers.Timer timer = (System.Timers.Timer)sender;
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110 | timer.Enabled = false;
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111 | DateTime now = DateTime.Now;
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112 | ExecutionTime += now - lastUpdateTime;
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113 | lastUpdateTime = now;
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114 | timer.Enabled = true;
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115 | }
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116 |
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117 | #region Linpack Benchmark
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118 |
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119 | private void RunBenchmark() {
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120 | int n = DEFAULT_PSIZE;
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121 | int ldaa = DEFAULT_PSIZE;
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122 | int lda = DEFAULT_PSIZE + 1;
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123 |
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124 | double[][] a = new double[ldaa][];
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125 | double[] b = new double[ldaa];
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126 | double[] x = new double[ldaa];
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127 |
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128 | double ops;
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129 | double norma;
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130 | double normx;
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131 | double resid;
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132 | int i;
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133 | int info;
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134 | int[] ipvt = new int[ldaa];
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135 |
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136 | for (i = 0; i < ldaa; i++) {
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137 | a[i] = new double[lda];
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138 | }
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139 |
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140 | ops = (2.0e0 * (((double)n) * n * n)) / 3.0 + 2.0 * (n * n);
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141 |
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142 | norma = mathGen(a, lda, n, b);
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143 |
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144 | sw.Reset();
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145 | sw.Start();
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146 |
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147 | info = dgefa(a, lda, n, ipvt);
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148 |
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149 | dgesl(a, lda, n, ipvt, b, 0);
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150 |
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151 | sw.Stop();
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152 | total = sw.Elapsed.TotalMilliseconds / 1000;
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153 |
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154 | for (i = 0; i < n; i++) {
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155 | x[i] = b[i];
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156 | }
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157 |
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158 | norma = mathGen(a, lda, n, b);
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159 |
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160 | for (i = 0; i < n; i++) {
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161 | b[i] = -b[i];
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162 | }
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163 |
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164 | dmxpy(n, b, n, lda, x, a);
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165 |
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166 | resid = 0.0;
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167 | normx = 0.0;
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168 |
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169 | for (i = 0; i < n; i++) {
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170 | resid = (resid > abs(b[i])) ? resid : abs(b[i]);
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171 | normx = (normx > abs(x[i])) ? normx : abs(x[i]);
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172 | }
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173 |
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174 | eps_result = epslon((double)1.0);
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175 |
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176 | residn_result = resid / (n * norma * normx * eps_result);
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177 | residn_result += 0.005; // for rounding
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178 | residn_result = (int)(residn_result * 100);
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179 | residn_result /= 100;
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180 |
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181 | time_result = total;
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182 | time_result += 0.005; // for rounding
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183 | time_result = (int)(time_result * 100);
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184 | time_result /= 100;
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185 |
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186 | mflops_result = ops / (1.0e6 * total);
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187 | mflops_result += 0.0005; // for rounding
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188 | mflops_result = (int)(mflops_result * 1000);
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189 | mflops_result /= 1000;
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190 |
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191 | //System.Console.WriteLine("Mflops/s: " + mflops_result + " Time: " + time_result + " secs" + " Norm Res: " + residn_result + " Precision: " + eps_result);
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192 |
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193 | Results.Add(new Result("Mflops/s", new DoubleValue(mflops_result)));
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194 | //Results.Add(new Result("ca. Mflops/s", new DoubleValue(mflops_result * Environment.ProcessorCount)));
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195 | }
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196 |
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197 | private double abs(double d) {
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198 | return (d >= 0) ? d : -d;
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199 | }
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200 |
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201 | private double mathGen(double[][] a, int lda, int n, double[] b) {
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202 | Random gen;
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203 | double norma;
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204 | int init, i, j;
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205 |
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206 | init = 1325;
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207 | norma = 0.0;
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208 |
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209 | gen = new Random(init);
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210 |
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211 | // Next two for() statements switched. Solver wants
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212 | // matrix in column order. --dmd 3/3/97
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213 |
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214 | for (i = 0; i < n; i++) {
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215 | for (j = 0; j < n; j++) {
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216 | a[j][i] = gen.NextDouble() - .5;
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217 | norma = (a[j][i] > norma) ? a[j][i] : norma;
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218 | }
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219 | }
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220 |
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221 | for (i = 0; i < n; i++) {
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222 | b[i] = 0.0;
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223 | }
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224 |
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225 | for (j = 0; j < n; j++) {
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226 | for (i = 0; i < n; i++) {
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227 | b[i] += a[j][i];
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228 | }
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229 | }
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230 |
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231 | return norma;
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232 | }
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233 |
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234 | private int dgefa(double[][] a, int lda, int n, int[] ipvt) {
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235 | double[] col_k, col_j;
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236 | double t;
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237 | int j, k, kp1, l, nm1;
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238 | int info;
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239 |
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240 | // gaussian elimination with partial pivoting
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241 |
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242 | info = 0;
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243 | nm1 = n - 1;
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244 | if (nm1 >= 0) {
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245 | for (k = 0; k < nm1; k++) {
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246 | col_k = a[k];
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247 | kp1 = k + 1;
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248 |
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249 | // find l = pivot index
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250 |
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251 | l = idamax(n - k, col_k, k, 1) + k;
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252 | ipvt[k] = l;
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253 |
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254 | // zero pivot implies this column already triangularized
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255 |
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256 | if (col_k[l] != 0) {
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257 | // interchange if necessary
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258 |
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259 | if (l != k) {
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260 | t = col_k[l];
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261 | col_k[l] = col_k[k];
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262 | col_k[k] = t;
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263 | }
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264 |
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265 | // compute multipliers
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266 |
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267 | t = -1.0 / col_k[k];
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268 | dscal(n - (kp1), t, col_k, kp1, 1);
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269 |
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270 | // row elimination with column indexing
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271 |
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272 | for (j = kp1; j < n; j++) {
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273 | col_j = a[j];
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274 | t = col_j[l];
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275 | if (l != k) {
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276 | col_j[l] = col_j[k];
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277 | col_j[k] = t;
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278 | }
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279 | daxpy(n - (kp1), t, col_k, kp1, 1,
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280 | col_j, kp1, 1);
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281 | }
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282 | } else {
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283 | info = k;
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284 | }
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285 | }
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286 | }
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287 |
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288 | ipvt[n - 1] = n - 1;
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289 | if (a[(n - 1)][(n - 1)] == 0) info = n - 1;
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290 |
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291 | return info;
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292 | }
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293 |
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294 | private void dgesl(double[][] a, int lda, int n, int[] ipvt, double[] b, int job) {
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295 | double t;
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296 | int k, kb, l, nm1, kp1;
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297 |
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298 | nm1 = n - 1;
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299 | if (job == 0) {
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300 | // job = 0 , solve a * x = b. first solve l*y = b
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301 |
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302 | if (nm1 >= 1) {
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303 | for (k = 0; k < nm1; k++) {
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304 | l = ipvt[k];
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305 | t = b[l];
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306 | if (l != k) {
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307 | b[l] = b[k];
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308 | b[k] = t;
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309 | }
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310 | kp1 = k + 1;
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311 | daxpy(n - (kp1), t, a[k], kp1, 1, b, kp1, 1);
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312 | }
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313 | }
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314 |
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315 | // now solve u*x = y
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316 |
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317 | for (kb = 0; kb < n; kb++) {
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318 | k = n - (kb + 1);
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319 | b[k] /= a[k][k];
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320 | t = -b[k];
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321 | daxpy(k, t, a[k], 0, 1, b, 0, 1);
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322 | }
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323 | } else {
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324 | // job = nonzero, solve trans(a) * x = b. first solve trans(u)*y = b
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325 |
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326 | for (k = 0; k < n; k++) {
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327 | t = ddot(k, a[k], 0, 1, b, 0, 1);
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328 | b[k] = (b[k] - t) / a[k][k];
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329 | }
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330 |
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331 | // now solve trans(l)*x = y
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332 |
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333 | if (nm1 >= 1) {
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334 | //for (kb = 1; kb < nm1; kb++) {
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335 | for (kb = 0; kb < nm1; kb++) {
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336 | k = n - (kb + 1);
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337 | kp1 = k + 1;
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338 | b[k] += ddot(n - (kp1), a[k], kp1, 1, b, kp1, 1);
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339 | l = ipvt[k];
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340 | if (l != k) {
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341 | t = b[l];
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342 | b[l] = b[k];
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343 | b[k] = t;
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344 | }
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345 | }
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346 | }
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347 | }
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348 | }
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349 |
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350 | private void daxpy(int n, double da, double[] dx, int dx_off, int incx, double[] dy, int dy_off, int incy) {
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351 | int i, ix, iy;
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352 |
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353 | if ((n > 0) && (da != 0)) {
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354 | if (incx != 1 || incy != 1) {
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355 |
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356 | // code for unequal increments or equal increments not equal to 1
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357 |
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358 | ix = 0;
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359 | iy = 0;
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360 | if (incx < 0) ix = (-n + 1) * incx;
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361 | if (incy < 0) iy = (-n + 1) * incy;
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362 | for (i = 0; i < n; i++) {
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363 | dy[iy + dy_off] += da * dx[ix + dx_off];
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364 | ix += incx;
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365 | iy += incy;
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366 | }
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367 | return;
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368 | } else {
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369 | // code for both increments equal to 1
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370 |
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371 | for (i = 0; i < n; i++)
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372 | dy[i + dy_off] += da * dx[i + dx_off];
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373 | }
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374 | }
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375 | }
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376 |
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377 | private double ddot(int n, double[] dx, int dx_off, int incx, double[] dy, int dy_off, int incy) {
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378 | double dtemp = 0;
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379 | int i, ix, iy;
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380 |
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381 | if (n > 0) {
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382 | if (incx != 1 || incy != 1) {
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383 | // code for unequal increments or equal increments not equal to 1
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384 |
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385 | ix = 0;
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386 | iy = 0;
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387 | if (incx < 0) ix = (-n + 1) * incx;
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388 | if (incy < 0) iy = (-n + 1) * incy;
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389 | for (i = 0; i < n; i++) {
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390 | dtemp += dx[ix + dx_off] * dy[iy + dy_off];
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391 | ix += incx;
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392 | iy += incy;
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393 | }
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394 | } else {
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395 | // code for both increments equal to 1
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396 |
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397 | for (i = 0; i < n; i++)
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398 | dtemp += dx[i + dx_off] * dy[i + dy_off];
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399 | }
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400 | }
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401 | return (dtemp);
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402 | }
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403 |
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404 | private void dscal(int n, double da, double[] dx, int dx_off, int incx) {
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405 | int i, nincx;
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406 |
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407 | if (n > 0) {
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408 | if (incx != 1) {
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409 | // code for increment not equal to 1
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410 |
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411 | nincx = n * incx;
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412 | for (i = 0; i < nincx; i += incx)
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413 | dx[i + dx_off] *= da;
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414 | } else {
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415 | // code for increment equal to 1
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416 |
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417 | for (i = 0; i < n; i++)
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418 | dx[i + dx_off] *= da;
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419 | }
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420 | }
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421 | }
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422 |
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423 | private int idamax(int n, double[] dx, int dx_off, int incx) {
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424 | double dmax, dtemp;
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425 | int i, ix, itemp = 0;
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426 |
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427 | if (n < 1) {
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428 | itemp = -1;
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429 | } else if (n == 1) {
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430 | itemp = 0;
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431 | } else if (incx != 1) {
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432 | // code for increment not equal to 1
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433 |
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434 | dmax = (dx[dx_off] < 0.0) ? -dx[dx_off] : dx[dx_off];
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435 | ix = 1 + incx;
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436 | for (i = 0; i < n; i++) {
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437 | dtemp = (dx[ix + dx_off] < 0.0) ? -dx[ix + dx_off] : dx[ix + dx_off];
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438 | if (dtemp > dmax) {
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439 | itemp = i;
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440 | dmax = dtemp;
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441 | }
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442 | ix += incx;
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443 | }
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444 | } else {
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445 | // code for increment equal to 1
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446 |
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447 | itemp = 0;
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448 | dmax = (dx[dx_off] < 0.0) ? -dx[dx_off] : dx[dx_off];
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449 | for (i = 0; i < n; i++) {
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450 | dtemp = (dx[i + dx_off] < 0.0) ? -dx[i + dx_off] : dx[i + dx_off];
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451 | if (dtemp > dmax) {
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452 | itemp = i;
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453 | dmax = dtemp;
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454 | }
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455 | }
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456 | }
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457 | return (itemp);
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458 | }
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459 |
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460 | private double epslon(double x) {
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461 | double a, b, c, eps;
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462 |
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463 | a = 4.0e0 / 3.0e0;
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464 | eps = 0;
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465 | while (eps == 0) {
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466 | b = a - 1.0;
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467 | c = b + b + b;
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468 | eps = abs(c - 1.0);
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469 | }
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470 | return (eps * abs(x));
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471 | }
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472 |
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473 | private void dmxpy(int n1, double[] y, int n2, int ldm, double[] x, double[][] m) {
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474 | int j, i;
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475 |
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476 | // cleanup odd vector
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477 | for (j = 0; j < n2; j++) {
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478 | for (i = 0; i < n1; i++) {
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479 | y[i] += x[j] * m[j][i];
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480 | }
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481 | }
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482 | }
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483 |
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484 | #endregion
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485 | }
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486 | }
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