Multiply filter with PHP's GD library

I've tried experimenting with the GD library to simulate Photoshop's muliply effect, but I haven't found a working solution yet.

According to Wikipedia, the multiply blend mode:

[...] multiplies the numbers for each pixel of the top layer with the corresponding pixel for the bottom layer. The result is a darker picture.

Does anyone know of a way to achieve this using PHP? Any help would be much appreciated.

You need to take every pixel of your image, then multiply each RGB value with your background color / 255 (it's the Photoshop formula). For example, a JPG file with a red background color multiply filter, saved as a PNG file for better results:

<?php 
$filter_r=216;
$filter_g=0;
$filter_b=26;
$suffixe="_red";
$path=YOURPATHFILE;

if(is_file($path)){
    $image=@imagecreatefromjpeg($path);
    $new_path=substr($path,0,strlen($path)-4).$suffixe.".png";

    $imagex = imagesx($image);
    $imagey = imagesy($image);
    for ($x = 0; $x <$imagex; ++$x) {
        for ($y = 0; $y <$imagey; ++$y) {
            $rgb = imagecolorat($image, $x, $y);
            $TabColors=imagecolorsforindex ( $image , $rgb );
            $color_r=floor($TabColors['red']*$filter_r/255);
            $color_g=floor($TabColors['green']*$filter_g/255);
            $color_b=floor($TabColors['blue']*$filter_b/255);
            $newcol = imagecolorallocate($image, $color_r,$color_g,$color_b);
            imagesetpixel($image, $x, $y, $newcol);
        }
    }

    imagepng($image,$new_path);
}
?>