Version: 1
Type: Full Script
Category: Math Functions
License: GNU General Public License
Description: Pythagorean triples are the lengths of the sides of a right angled triangle which are all integers.
Enter how many triples you want to find, and the script will display them for you.
Working (and formatted) version of script:
http://xodus.xionenet.com/triples.php
🙂
<form action='<?=$_SERVER['PHP_SELF']?>' method='post'>
<table>
<tr>
<td colspan='3' class='header'>Pythagorean Triple Generator</td>
</tr>
<tr>
<td colspan='2'>Generate first <input type='text' name='num' size='3' maxlength='3' value='<?php if (isset($_POST['num'])) { echo $_POST['num']; } else { echo "100"; } ?>' onfocus="value=''" /> triples</td>
<td><input type='submit' name='submit' value='go' /></td>
</tr>
<tr>
<td width='75'><b>length a</b></td>
<td width='75'><b>length b</b></td>
<td width='75'><b>hypoteneuse</b></td>
</tr>
<?php
/////////////////////
// a^2 + b^2 = c^2 //
/////////////////////
if (isset($_POST['submit'])) {
$max = $_POST['num']; // How many triples to find?
} else {
$max = 0; // No value = no triples >:D
}
$i = 1; // Triple Counter
$c = 1; // Hypoteneuse length
$f = 1; // Variable for alternating
while ($i <= $max) { // Generate only number of triples required
$csq = $c*$c;
$b = 1;
while ($b < $c) { // Generating length of a different side
$bsq = $b*$b;
$asq = $csq - $bsq;
$a = sqrt($asq);
// Display every other triple, otherwise duplicates will occur...
if ($f) {
$f = FALSE;
} else {
$f = 1;
}
// If result is an integer, it's a triple!
if(ereg("^[0-9]+$", $a) && $f) { // Is the result an integer? If yes, we have a triple...
echo "<tr><td>$a</td><td>$b</td><td>$c</td></tr>n";
$i++; // Increment triple counter
}
$b++; // Increment length B
}
$c++; // Raise the hypoteneuse to look for more triples...
}
?>
</table>
</form>
