yii\captcha\CaptchaAction::renderImageByGD PHP Method

    protected function renderImageByGD($code)
    {
        $image = imagecreatetruecolor($this->width, $this->height);
        $backColor = imagecolorallocate($image, (int) ($this->backColor % 0x1000000 / 0x10000), (int) ($this->backColor % 0x10000 / 0x100), $this->backColor % 0x100);
        imagefilledrectangle($image, 0, 0, $this->width - 1, $this->height - 1, $backColor);
        imagecolordeallocate($image, $backColor);
        if ($this->transparent) {
            imagecolortransparent($image, $backColor);
        }
        $foreColor = imagecolorallocate($image, (int) ($this->foreColor % 0x1000000 / 0x10000), (int) ($this->foreColor % 0x10000 / 0x100), $this->foreColor % 0x100);
        $length = strlen($code);
        $box = imagettfbbox(30, 0, $this->fontFile, $code);
        $w = $box[4] - $box[0] + $this->offset * ($length - 1);
        $h = $box[1] - $box[5];
        $scale = min(($this->width - $this->padding * 2) / $w, ($this->height - $this->padding * 2) / $h);
        $x = 10;
        $y = round($this->height * 27 / 40);
        for ($i = 0; $i < $length; ++$i) {
            $fontSize = (int) (rand(26, 32) * $scale * 0.8);
            $angle = rand(-10, 10);
            $letter = $code[$i];
            $box = imagettftext($image, $fontSize, $angle, $x, $y, $foreColor, $this->fontFile, $letter);
            $x = $box[2] + $this->offset;
        }
        imagecolordeallocate($image, $foreColor);
        ob_start();
        imagepng($image);
        imagedestroy($image);
        return ob_get_clean();
    }