让后端可执行文件与PHP上的Web应用程序进行通信

Suppose my web app is written in PHP & Mysql on the standard LAMP stack etc...and I have some uber awesome and complex algorithm compiled as an executable in some other desktop programming language such as C++, Java, or C running in the backend....how would I go about passing data and information between the PHP script on the webapp and the running backend? Suppose my web app is written in PHP & Mysql on