<?php
error_reporting(E_ALL);
/**
* @package JAMA
*/
require_once '../Matrix.php';
require_once 'Stats.php';
/**
* Example of use of Matrix Class, featuring magic squares.
*/
class Benchmark {
public $stat;
/**
* Simple function to replicate PHP 5 behaviour
*/
function microtime_float() {
list($usec, $sec) = explode(" ", microtime());
return ((float)$usec + (float)$sec);
} // function microtime_float()
function displayStats($times = null) {
$this->stat->setData($times);
$stats = $this->stat->calcFull();
echo '<table style="margin-left:32px;">';
echo '<tr><td style="text-align:right;"><b>n:</b><td style="text-align:right;">' . $stats['count'] . ' </td></tr>';
echo '<tr><td style="text-align:right;"><b>Mean:</b><td style="text-align:right;">' . $stats['mean'] . ' </td></tr>';
echo '<tr><td style="text-align:right;"><b>Min.:</b><td style="text-align:right;">' . $stats['min'] . ' </td></tr>';
echo '<tr><td style="text-align:right;"><b>Max.:</b><td style="text-align:right;">' . $stats['max'] . ' </td></tr>';
echo '<tr><td style="text-align:right;"><b>σ:</b><td style="text-align:right;">' . $stats['stdev'] . ' </td></tr>';
echo '<tr><td style="text-align:right;"><b>Variance:</b><td style="text-align:right;">' . $stats['variance'] . ' </td></tr>';
echo '<tr><td style="text-align:right;"><b>Range:</b><td style="text-align:right;">' . $stats['range'] . ' </td></tr>';
echo '</table>';
return $stats;
} // function displayStats()
function runEig($n = 4, $t = 100) {
$times = array();
for ($i = 0; $i < $t; ++$i) {
$M = Matrix::random($n, $n);
$start_time = $this->microtime_float();
$E = new EigenvalueDecomposition($M);
$stop_time = $this->microtime_float();
$times[] = $stop_time - $start_time;
}
return $times;
} // function runEig()
function runLU($n = 4, $t = 100) {
$times = array();
for ($i = 0; $i < $t; ++$i) {
$M = Matrix::random($n, $n);
$start_time = $this->microtime_float();
$E = new LUDecomposition($M);
$stop_time = $this->microtime_float();
$times[] = $stop_time - $start_time;
}
return $times;
} // function runLU()
function runQR($n = 4, $t = 100) {
$times = array();
for ($i = 0; $i < $t; ++$i) {
$M = Matrix::random($n, $n);
$start_time = $this->microtime_float();
$E = new QRDecomposition($M);
$stop_time = $this->microtime_float();
$times[] = $stop_time - $start_time;
}
return $times;
} // function runQR()
function runCholesky($n = 4, $t = 100) {
$times = array();
for ($i = 0; $i < $t; ++$i) {
$M = Matrix::random($n, $n);
$start_time = $this->microtime_float();
$E = new CholeskyDecomposition($M);
$stop_time = $this->microtime_float();
$times[] = $stop_time - $start_time;
}
return $times;
} // function runCholesky()
function runSVD($n = 4, $t = 100) {
$times = array();
for ($i = 0; $i < $t; ++$i) {
$M = Matrix::random($n, $n);
$start_time = $this->microtime_float();
$E = new SingularValueDecomposition($M);
$stop_time = $this->microtime_float();
$times[] = $stop_time - $start_time;
}
return $times;
} // function runSVD()
function run() {
$n = 8;
$t = 16;
$sum = 0;
echo "<b>Cholesky decomposition: $t random {$n}x{$n} matrices</b><br />";
$r = $this->displayStats($this->runCholesky($n, $t));
$sum += $r['mean'] * $n;
echo '<hr />';
echo "<b>Eigenvalue decomposition: $t random {$n}x{$n} matrices</b><br />";
$r = $this->displayStats($this->runEig($n, $t));
$sum += $r['mean'] * $n;
echo '<hr />';
echo "<b>LU decomposition: $t random {$n}x{$n} matrices</b><br />";
$r = $this->displayStats($this->runLU($n, $t));
$sum += $r['mean'] * $n;
echo '<hr />';
echo "<b>QR decomposition: $t random {$n}x{$n} matrices</b><br />";
$r = $this->displayStats($this->runQR($n, $t));
$sum += $r['mean'] * $n;
echo '<hr />';
echo "<b>Singular Value decomposition: $t random {$n}x{$n} matrices</b><br />";
$r = $this->displayStats($this->runSVD($n, $t));
$sum += $r['mean'] * $n;
return $sum;
} // function run()
public function __construct() {
$this->stat = new Base();
} // function Benchmark()
} // class Benchmark (end MagicSquareExample)
$benchmark = new Benchmark();
switch($_REQUEST['decomposition']) {
case 'cholesky':
$m = array();
for ($i = 2; $i <= 8; $i *= 2) {
$t = 32 / $i;
echo "<b>Cholesky decomposition: $t random {$i}x{$i} matrices</b><br />";
$s = $benchmark->displayStats($benchmark->runCholesky($i, $t));
$m[$i] = $s['mean'];
echo "<br />";
}
echo '<pre>';
foreach($m as $x => $y) {
echo "$x\t" . 1000*$y . "\n";
}
echo '</pre>';
break;
case 'eigenvalue':
$m = array();
for ($i = 2; $i <= 8; $i *= 2) {
$t = 32 / $i;
echo "<b>Eigenvalue decomposition: $t random {$i}x{$i} matrices</b><br />";
$s = $benchmark->displayStats($benchmark->runEig($i, $t));
$m[$i] = $s['mean'];
echo "<br />";
}
echo '<pre>';
foreach($m as $x => $y) {
echo "$x\t" . 1000*$y . "\n";
}
echo '</pre>';
break;
case 'lu':
$m = array();
for ($i = 2; $i <= 8; $i *= 2) {
$t = 32 / $i;
echo "<b>LU decomposition: $t random {$i}x{$i} matrices</b><br />";
$s = $benchmark->displayStats($benchmark->runLU($i, $t));
$m[$i] = $s['mean'];
echo "<br />";
}
echo '<pre>';
foreach($m as $x => $y) {
echo "$x\t" . 1000*$y . "\n";
}
echo '</pre>';
break;
case 'qr':
$m = array();
for ($i = 2; $i <= 8; $i *= 2) {
$t = 32 / $i;
echo "<b>QR decomposition: $t random {$i}x{$i} matrices</b><br />";
$s = $benchmark->displayStats($benchmark->runQR($i, $t));
$m[$i] = $s['mean'];
echo "<br />";
}
echo '<pre>';
foreach($m as $x => $y) {
echo "$x\t" . 1000*$y . "\n";
}
echo '</pre>';
break;
case 'svd':
$m = array();
for($i = 2; $i <= 8; $i *= 2) {
$t = 32 / $i;
echo "<b>Singular value decomposition: $t random {$i}x{$i} matrices</b><br />";
$s = $benchmark->displayStats($benchmark->runSVD($i, $t));
$m[$i] = $s['mean'];
echo "<br />";
}
echo '<pre>';
foreach($m as $x => $y) {
echo "$x\t" . 1000*$y . "\n";
}
echo '</pre>';
break;
case 'all':
$s = $benchmark->run();
print("<br /><b>Total<b>: {$s}s<br />");
break;
default:
?>
<ul>
<li><a href="benchmark.php?decomposition=all">Complete Benchmark</a>
<ul>
<li><a href="benchmark.php?decomposition=cholesky">Cholesky</a></li>
<li><a href="benchmark.php?decomposition=eigenvalue">Eigenvalue</a></li>
<li><a href="benchmark.php?decomposition=lu">LU</a></li>
<li><a href="benchmark.php?decomposition=qr">QR</a></li>
<li><a href="benchmark.php?decomposition=svd">Singular Value</a></li>
</ul>
</li>
</ul>
<?php
break;
}
