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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Julia-set/PHP/julia-set.php Normal file
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set_time_limit(300);
header("Content-Type: image/png");
class Julia {
static private $started = false;
public static function start() {
if (!self::$started) {
self::$started = true;
new self;
}
}
const AXIS_REAL = 0;
const AXIS_IMAGINARY = 1;
const C = [-0.75, 0.1];
const RADII = [1, 0.5];
const CENTER = [0, 0];
const MAX_ITERATIONS = 100;
const TICK_SPACING = 0.001;
private $maxDistance;
private $imageResource;
private $whiteColorResource;
private $z0 = [];
private function __construct() {
$this->maxDistance = max($this->distance(self::C), 2);
$this->imageResource = imagecreate(
$this->coordinateToPixel(self::RADII[self::AXIS_REAL], self::AXIS_REAL),
$this->coordinateToPixel(self::RADII[self::AXIS_IMAGINARY], self::AXIS_IMAGINARY)
);
imagecolorallocate($this->imageResource, 0, 0, 0);
$this->whiteColorResource = imagecolorallocate($this->imageResource, 255, 255, 255);
for ($x = self::CENTER[self::AXIS_REAL] - self::RADII[self::AXIS_REAL];
$x <= self::CENTER[self::AXIS_REAL] + self::RADII[self::AXIS_REAL]; $x += self::TICK_SPACING) {
$z0[self::AXIS_REAL] = $x;
for ($y = self::CENTER[self::AXIS_IMAGINARY] - self::RADII[self::AXIS_IMAGINARY];
$y <= self::CENTER[self::AXIS_IMAGINARY] + self::RADII[self::AXIS_IMAGINARY]; $y += self::TICK_SPACING) {
$z0[self::AXIS_IMAGINARY] = $y;
$iterations = 1;
do {
$z0 = $this->q($z0);
$iterations++;
} while($iterations < self::MAX_ITERATIONS && $this->distance($z0) <= $this->maxDistance);
if ($iterations !== self::MAX_ITERATIONS) {
imagesetpixel(
$this->imageResource,
$this->coordinateToPixel($x, self::AXIS_REAL),
$this->coordinateToPixel($y, self::AXIS_IMAGINARY),
$this->whiteColorResource
);
}
$z0[self::AXIS_REAL] = $x;
}
}
}
public function __destruct() {
imagepng($this->imageResource);
imagedestroy($this->imageResource);
}
private function q($z) {
return [ ($z[self::AXIS_REAL] ** 2) - ($z[self::AXIS_IMAGINARY] ** 2) + self::C[self::AXIS_REAL],
(2 * $z[self::AXIS_REAL] * $z[self::AXIS_IMAGINARY]) + self::C[self::AXIS_IMAGINARY] ];
}
private function distance($z) {
return sqrt( ($z[self::AXIS_REAL] ** 2) + ($z[self::AXIS_IMAGINARY] ** 2) );
}
private function coordinateToPixel($coordinate, $axis) {
return ($coordinate + self::RADII[$axis]) * (self::TICK_SPACING ** -1);
}
}
Julia::start();