Based on Daniel’s code I wrote a function that simply rotates an image if necessary, without resampling.

GD

function image_fix_orientation(&$image, $filename) {
    $exif = exif_read_data($filename);
    
    if (!empty($exif['Orientation'])) {
        switch ($exif['Orientation']) {
            case 3:
                $image = imagerotate($image, 180, 0);
                break;
            
            case 6:
                $image = imagerotate($image, 90, 0);
                break;
            
            case 8:
                $image = imagerotate($image, -90, 0);
                break;
        }
    }
}

One line version (GD)

function image_fix_orientation(&$image, $filename) {
    $image = imagerotate($image, array_values([0, 0, 0, 180, 0, 0, -90, 0, 90])[@exif_read_data($filename)['Orientation'] ?: 0], 0);
}

ImageMagick

function image_fix_orientation($image) {
    if (method_exists($image, 'getImageProperty')) {
        $orientation = $image->getImageProperty('exif:Orientation');
    } else {
        $filename = $image->getImageFilename();
        
        if (empty($filename)) {
            $filename="data://image/jpeg;base64," . base64_encode($image->getImageBlob());
        }
        
        $exif = exif_read_data($filename);
        $orientation = isset($exif['Orientation']) ? $exif['Orientation'] : null;
    }
    
    if (!empty($orientation)) {
        switch ($orientation) {
            case 3:
                $image->rotateImage('#000000', 180);
                break;
            
            case 6:
                $image->rotateImage('#000000', 90);
                break;
            
            case 8:
                $image->rotateImage('#000000', -90);
                break;
        }
    }
}