So here I am doing some designs when I think, hmm, maybe I will use the golden ratio to lay out the design, Fibonacci's Spiral and what not, but the amount of tedious workings out.. (having to use a pencil..tedious...physical movement you see..) so I wrote a script. I don't really like using C# for scripts, being it isn't a script but.. sometimes you just want something like putty in your hands to quickly test a hypothesis or whatnot, and PHP is great for that. Big project, ASP.NET but a little versatile albeit-unable-to-really-report-errors-very-well scripting language, PHP is the don.
So, Fibonacci's numbers, very nice and easy to do:
<?php
$numbers[] = 0;
$numbers[] = 1;
$a = 0;
$b = 1;
for ($i = 0; $i < 10; $i++)
{
$c = $a + $b;
$a = $b;
$b = $c;
$numbers[] = $c;
}
// output
foreach($numbers as $n) echo "$n, ";
?>
and then for the golden ratio, a slightly bigger script.
<?php
error_reporting(E_ALL);
$width = 1024;
$height = 768;
$phi = 0.6180339887;
$boxes[] = array($width, $height);
for($i = 1; $i < 10; $i++)
{
$w = round($boxes[$i - 1][0] * $phi, 4);
$h = round($boxes[$i - 1][1] * $phi, 4);
$boxes[] = array($w, $h);
}
echo "<pre>";
for($i = 0; $i < count($boxes); $i++)
{
$box = $boxes[$i];
$w = sprintf("%-10s", $box[0]);
$h = sprintf("%-10s", $box[1]);
echo "W: $w H: $h ";
if ($i > 0)
{
$pbox = $boxes[$i - 1];
$tw = sprintf("%-10s", $box[0] + $pbox[0]);
$th = sprintf("%-10s", $box[1] + $pbox[1]);
echo "TW: $tw TH: $th";
}
echo "\r\n";
}
echo "</pre>";
?>
You'll see I supply three variables, the initial width, height and then phi, which shouldn't really need to change. This script gives us a nice output, which works out the desired width and height for each new box, allowing you to quickly code that, rather than working it out and all that..tedious work..
W: 1024 H: 768
W: 632.8668 H: 474.6501 TW: 1656.8668 TH: 1242.6501
W: 391.1332 H: 293.3499 TW: 1024 TH: 768
W: 241.7336 H: 181.3002 TW: 632.8668 TH: 474.6501
W: 149.3996 H: 112.0497 TW: 391.1332 TH: 293.3499
W: 92.334 H: 69.2505 TW: 241.7336 TH: 181.3002
W: 57.0656 H: 42.7992 TW: 149.3996 TH: 112.0497
W: 35.2685 H: 26.4514 TW: 92.3341 TH: 69.2506
W: 21.7971 H: 16.3479 TW: 57.0656 TH: 42.7993
W: 13.4713 H: 10.1036 TW: 35.2684 TH: 26.4515
Simples, simply take your new width and height (W & H) and check the values add up (TW & TH add up the current and the previous width and height), and you're set.
Enjoy.
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