Difference between revisions of "Notes"

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* http://happypenguin.org/show?Project%20LRNJ%3A%20Slime%20Forest  (japanese learning game)
 
* http://happypenguin.org/show?Project%20LRNJ%3A%20Slime%20Forest  (japanese learning game)
 
* http://happypenguin.org/show?BitRock%20InstallBuilder (bitrock crossplatform installer builder)
 
* http://happypenguin.org/show?BitRock%20InstallBuilder (bitrock crossplatform installer builder)
 
=== print ===
 
 
<pre></nowiki>
 
<?php
 
require("cryptutils.php");
 
 
// Nr17
 
 
/// returns true if bit is set
 
/// (1 << n) == 2^n  (shiftleft)
 
function TestBit ($mask,$bitnum) { return ($mask & (1 << $bitnum)) != 0; }
 
 
/// condition ? value_if_true : value_if_false
 
function F($x) {
 
$mask = $x*($x+1);
 
$res = 0;
 
for ($i=0;$i<=4;++$i) $res += TestBit($mask,$i+1) ? (1 << $i) : 0;
 
return $res;
 
}
 
 
/// $C is the subset that is being tested,  $C[$i] is x_i of the subset
 
function SubsetIsCycle ($C) {
 
$r = count($C);
 
if (F($C[$r-1]) != $C[0]) return false;
 
for ($i=1;$i<$r;++$i) if (F($C[$i-1]) != $C[$i]) return false;
 
return true;
 
}
 
 
function AsBitString10 ($x) { return strrev(sprintf("%010b",$x)); }
 
function AsBitString5 ($x) { return strrev(sprintf("%05b",$x)); }
 
 
/*
 
bruteforce
 
*/
 
 
$F_x_arr = array();
 
for ($x=0;$x<32;++$x) {
 
$bitstring = AsBitString10($x*($x+1));
 
 
// F(x)
 
$tmp = 0;
 
for ($i=0;$i<=4;++$i) $tmp += intval($bitstring{$i+2})*(1<<$i);
 
$F_x_arr[$x] = $tmp;
 
 
//echo "x=$x  x*(x-1)=".$bitstring." $tmp\n";
 
}
 
 
function GenerateChain ($x_0) {
 
global $F_x_arr;
 
$chain = array( 0=>$x_0 );
 
while (1) {
 
$Fx = $F_x_arr[$chain[count($chain)-1]];
 
if (in_array($Fx,$chain)) break;
 
$chain[] = $Fx;
 
}
 
return $chain;
 
}
 
 
//echo implode(",",$F_x_arr);
 
 
$checklist = array();
 
$cycle = array();
 
$domain = array();
 
 
for ($x=0;$x<32;++$x) {
 
$chain = GenerateChain($x);
 
//echo "$x : ".implode(",",$chain)."\n";
 
 
//$last = $chain[0];
 
$last = $chain[count($chain)-1];
 
$key = array_shift(array_keys($chain,$last));
 
 
// domains
 
for ($i=0;$i<count($chain);++$i)
 
if (!in_array($chain[$i],$checklist))
 
$domain[$last][] = $chain[$i];
 
 
// cycles
 
for ($i=$key;$i<count($chain);++$i)
 
if (!in_array($chain[$i],$checklist))
 
$cycle[$last][] = $chain[$i];
 
 
// checklist
 
for ($i=0;$i<count($chain);++$i)
 
if (!in_array($chain[$i],$checklist))
 
$checklist[] = $chain[$i];
 
}
 
 
foreach ($cycle as $i=>$vals) {
 
sort($domain[$i]);
 
$chain = GenerateChain($i);
 
echo "C = {".implode(",",$chain)."}\n";
 
echo "A(C) = {".implode(",",$domain[$i])."}\n";
 
echo "\n";
 
}
 
 
 
/*
 
Nr.17 a) output :
 
 
C = {0}
 
A(C) = {0,1,2,6,10,11,15,23,25,26,27,28,29}
 
 
C = {3}
 
A(C) = {3}
 
 
C = {24,22,30,8,18,21,19,31}
 
A(C) = {4,5,7,8,9,12,14,16,17,18,19,20,21,22,24,30,31}
 
 
C = {13}
 
A(C) = {13}
 
*/
 
 
?>
 
</nowiki></pre>
 

Revision as of 21:05, 23 May 2007

links to look at :

social net

screencasting

misc