ILIAS  eassessment Revision 61809
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benchmark.php
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1 <?php
2 
3 error_reporting(E_ALL);
4 
9 require_once '../Matrix.php';
10 require_once 'Stats.php';
11 
12 
16 class Benchmark {
17  public $stat;
18 
19 
23  function microtime_float() {
24  list($usec, $sec) = explode(" ", microtime());
25 
26  return ((float)$usec + (float)$sec);
27  } // function microtime_float()
28 
29 
30  function displayStats($times = null) {
31  $this->stat->setData($times);
32  $stats = $this->stat->calcFull();
33 
34  echo '<table style="margin-left:32px;">';
35  echo '<tr><td style="text-align:right;"><b>n:</b><td style="text-align:right;">' . $stats['count'] . ' </td></tr>';
36  echo '<tr><td style="text-align:right;"><b>Mean:</b><td style="text-align:right;">' . $stats['mean'] . ' </td></tr>';
37  echo '<tr><td style="text-align:right;"><b>Min.:</b><td style="text-align:right;">' . $stats['min'] . ' </td></tr>';
38  echo '<tr><td style="text-align:right;"><b>Max.:</b><td style="text-align:right;">' . $stats['max'] . ' </td></tr>';
39  echo '<tr><td style="text-align:right;"><b>&sigma;:</b><td style="text-align:right;">' . $stats['stdev'] . ' </td></tr>';
40  echo '<tr><td style="text-align:right;"><b>Variance:</b><td style="text-align:right;">' . $stats['variance'] . ' </td></tr>';
41  echo '<tr><td style="text-align:right;"><b>Range:</b><td style="text-align:right;">' . $stats['range'] . ' </td></tr>';
42  echo '</table>';
43 
44  return $stats;
45  } // function displayStats()
46 
47 
48  function runEig($n = 4, $t = 100) {
49  $times = array();
50 
51  for ($i = 0; $i < $t; ++$i) {
52  $M = Matrix::random($n, $n);
53  $start_time = $this->microtime_float();
54  $E = new EigenvalueDecomposition($M);
55  $stop_time = $this->microtime_float();
56  $times[] = $stop_time - $start_time;
57  }
58 
59  return $times;
60  } // function runEig()
61 
62 
63  function runLU($n = 4, $t = 100) {
64  $times = array();
65 
66  for ($i = 0; $i < $t; ++$i) {
67  $M = Matrix::random($n, $n);
68  $start_time = $this->microtime_float();
69  $E = new LUDecomposition($M);
70  $stop_time = $this->microtime_float();
71  $times[] = $stop_time - $start_time;
72  }
73 
74  return $times;
75  } // function runLU()
76 
77 
78  function runQR($n = 4, $t = 100) {
79  $times = array();
80 
81  for ($i = 0; $i < $t; ++$i) {
82  $M = Matrix::random($n, $n);
83  $start_time = $this->microtime_float();
84  $E = new QRDecomposition($M);
85  $stop_time = $this->microtime_float();
86  $times[] = $stop_time - $start_time;
87  }
88 
89  return $times;
90  } // function runQR()
91 
92 
93  function runCholesky($n = 4, $t = 100) {
94  $times = array();
95 
96  for ($i = 0; $i < $t; ++$i) {
97  $M = Matrix::random($n, $n);
98  $start_time = $this->microtime_float();
99  $E = new CholeskyDecomposition($M);
100  $stop_time = $this->microtime_float();
101  $times[] = $stop_time - $start_time;
102  }
103 
104  return $times;
105  } // function runCholesky()
106 
107 
108  function runSVD($n = 4, $t = 100) {
109  $times = array();
110 
111  for ($i = 0; $i < $t; ++$i) {
112  $M = Matrix::random($n, $n);
113  $start_time = $this->microtime_float();
114  $E = new SingularValueDecomposition($M);
115  $stop_time = $this->microtime_float();
116  $times[] = $stop_time - $start_time;
117  }
118 
119  return $times;
120  } // function runSVD()
121 
122 
123  function run() {
124  $n = 8;
125  $t = 16;
126  $sum = 0;
127  echo "<b>Cholesky decomposition: $t random {$n}x{$n} matrices</b><br />";
128  $r = $this->displayStats($this->runCholesky($n, $t));
129  $sum += $r['mean'] * $n;
130 
131  echo '<hr />';
132 
133  echo "<b>Eigenvalue decomposition: $t random {$n}x{$n} matrices</b><br />";
134  $r = $this->displayStats($this->runEig($n, $t));
135  $sum += $r['mean'] * $n;
136 
137  echo '<hr />';
138 
139  echo "<b>LU decomposition: $t random {$n}x{$n} matrices</b><br />";
140  $r = $this->displayStats($this->runLU($n, $t));
141  $sum += $r['mean'] * $n;
142 
143  echo '<hr />';
144 
145  echo "<b>QR decomposition: $t random {$n}x{$n} matrices</b><br />";
146  $r = $this->displayStats($this->runQR($n, $t));
147  $sum += $r['mean'] * $n;
148 
149  echo '<hr />';
150 
151  echo "<b>Singular Value decomposition: $t random {$n}x{$n} matrices</b><br />";
152  $r = $this->displayStats($this->runSVD($n, $t));
153  $sum += $r['mean'] * $n;
154 
155  return $sum;
156  } // function run()
157 
158 
159  public function __construct() {
160  $this->stat = new Base();
161  } // function Benchmark()
162 
163 } // class Benchmark (end MagicSquareExample)
164 
165 
166 $benchmark = new Benchmark();
167 
168 switch($_REQUEST['decomposition']) {
169  case 'cholesky':
170  $m = array();
171  for ($i = 2; $i <= 8; $i *= 2) {
172  $t = 32 / $i;
173  echo "<b>Cholesky decomposition: $t random {$i}x{$i} matrices</b><br />";
174  $s = $benchmark->displayStats($benchmark->runCholesky($i, $t));
175  $m[$i] = $s['mean'];
176  echo "<br />";
177  }
178  echo '<pre>';
179  foreach($m as $x => $y) {
180  echo "$x\t" . 1000*$y . "\n";
181  }
182  echo '</pre>';
183  break;
184  case 'eigenvalue':
185  $m = array();
186  for ($i = 2; $i <= 8; $i *= 2) {
187  $t = 32 / $i;
188  echo "<b>Eigenvalue decomposition: $t random {$i}x{$i} matrices</b><br />";
189  $s = $benchmark->displayStats($benchmark->runEig($i, $t));
190  $m[$i] = $s['mean'];
191  echo "<br />";
192  }
193  echo '<pre>';
194  foreach($m as $x => $y) {
195  echo "$x\t" . 1000*$y . "\n";
196  }
197  echo '</pre>';
198  break;
199  case 'lu':
200  $m = array();
201  for ($i = 2; $i <= 8; $i *= 2) {
202  $t = 32 / $i;
203  echo "<b>LU decomposition: $t random {$i}x{$i} matrices</b><br />";
204  $s = $benchmark->displayStats($benchmark->runLU($i, $t));
205  $m[$i] = $s['mean'];
206  echo "<br />";
207  }
208  echo '<pre>';
209  foreach($m as $x => $y) {
210  echo "$x\t" . 1000*$y . "\n";
211  }
212  echo '</pre>';
213  break;
214  case 'qr':
215  $m = array();
216  for ($i = 2; $i <= 8; $i *= 2) {
217  $t = 32 / $i;
218  echo "<b>QR decomposition: $t random {$i}x{$i} matrices</b><br />";
219  $s = $benchmark->displayStats($benchmark->runQR($i, $t));
220  $m[$i] = $s['mean'];
221  echo "<br />";
222  }
223  echo '<pre>';
224  foreach($m as $x => $y) {
225  echo "$x\t" . 1000*$y . "\n";
226  }
227  echo '</pre>';
228  break;
229  case 'svd':
230  $m = array();
231  for($i = 2; $i <= 8; $i *= 2) {
232  $t = 32 / $i;
233  echo "<b>Singular value decomposition: $t random {$i}x{$i} matrices</b><br />";
234  $s = $benchmark->displayStats($benchmark->runSVD($i, $t));
235  $m[$i] = $s['mean'];
236  echo "<br />";
237  }
238  echo '<pre>';
239  foreach($m as $x => $y) {
240  echo "$x\t" . 1000*$y . "\n";
241  }
242  echo '</pre>';
243  break;
244  case 'all':
245  $s = $benchmark->run();
246  print("<br /><b>Total<b>: {$s}s<br />");
247  break;
248  default:
249  ?>
250  <ul>
251  <li><a href="benchmark.php?decomposition=all">Complete Benchmark</a>
252  <ul>
253  <li><a href="benchmark.php?decomposition=cholesky">Cholesky</a></li>
254  <li><a href="benchmark.php?decomposition=eigenvalue">Eigenvalue</a></li>
255  <li><a href="benchmark.php?decomposition=lu">LU</a></li>
256  <li><a href="benchmark.php?decomposition=qr">QR</a></li>
257  <li><a href="benchmark.php?decomposition=svd">Singular Value</a></li>
258  </ul>
259  </li>
260  </ul>
261  <?php
262  break;
263 }