Tomcat: using servlet and websocket (jsr356) in same web app

I create a sample webapp using Guice-servlets and websocket in tomcat, now once guice filter is used websocket stop working

Basic information:

In my web.xml, i initialized the Guiceservlet using GuiceBasedListener

<web-app>
     <listener>
        <listener-class>test.GuiceBasedListener</listener-class>
    </listener>          
    <filter>
        <filter-name>guiceFilter</filter-name>
        <filter-class>com.google.inject.servlet.GuiceFilter</filter-class>
    </filter>
    <filter-mapping>
        <filter-name>guiceFilter</filter-name>
        <url-pattern>/*</url-pattern>
    </filter-mapping>
</web-app>

GuieBasedListener Code which binds all request /* to MyDispatcher

public class GuiceBasedListener extends GuiceServletContextListener {
    protected Injector getInjector() {
        return Guice.createInjector( new ServletModule() {
            @Override
            protected void configureServlets() {
                bind(MyDispatcher.class).asEagerSingleton();
                serve("/*").with(MyDispatcher.class);//////IMPORTANT LINE//
            }
        });}}

MyDispatcher code which just respond with a String

public class MyDispatcher extends HttpServlet {    
    @Inject private Injector injector;
    public MyDispatcher() {}    
    public void service(ServletRequest req, ServletResponse resp) throws IOException, ServletException {
        resp.getOutputStream().print("SUCCESS:" + req);
    }
}

Also i have a @ServerEndPoint for Websocket

@ServerEndpoint(value = "/websocket/chat2")
public class WebSocket{
....
    @OnOpen
    public void start(Session session) {        
        System.out.println("Staring:"+this);
   }
....
}

Observations:

1. Now if i run the app and hit http://app:8080/test it returns SUCCESS
2. But if i try to connect to websocket using ws://app:8080/websocket/chat2 it fails

3. Now if i comment serve("/*").with(MyDispatcher.class); basically if we switch off guice routing the websocket starts to work

4. If i switch off guice-servlet but add a servlet mapping in web.xml like below websocket still works

   < servlet-mapping > < servlet-name > HelloWorld< / servlet-name > < url-pattern > /* < / url-pattern > < / servlet-mapping >

What am i missing or doing wrongly?

EDIT:

Observation-conti:

5. What i did was defined a simple filter which just respond with FILTER .

public void doFilter(ServletRequest request, ServletResponse response, FilterChain chain) throws IOException, ServletException { response.getOutputStream().print("FILTER"); }

and changed my web.xml to

<web-app>           
    <filter>
        <filter-name>myFilter</filter-name>
        <filter-class>test.MyFilter</filter-class>
    </filter>
    <filter-mapping>
        <filter-name>myFilter</filter-name>
        <url-pattern>/*</url-pattern>
    </filter-mapping>       
</web-app>

Now hitting the http://localhost:8080/app/x return FILTER as expected. But trying to connect with websocket fail as the request shows something like this. I also noticed that as i change the String MyFilter return the content length in response changes , which meaning the request reached MyFilter before tomcat handled it for websocket.

6. I changed the web.xml to below and guice and websocket are working fine now.. so i think Guice is not honoring the WsFilter that registered after the GuiceFilter

   <filter>
   <filter-name>myFilter</filter-name>
   <filter-class>org.apache.tomcat.websocket.server.WsFilter</filter-class>
   </filter>
   <filter-mapping>
       <filter-name>myFilter</filter-name>
       <url-pattern>/*</url-pattern>
   </filter-mapping> 
   
    <filter>
       <filter-name>guiceFilter</filter-name>
       <filter-class>com.google.inject.servlet.GuiceFilter</filter-class>
   </filter>
   <filter-mapping>
       <filter-name>guiceFilter</filter-name>
       <url-pattern>/*</url-pattern>
   </filter-mapping>
   

TOMCAT 8.0, Window 7, Java 1.7 , Guice 4.0, Guice-servlet-4.0