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Let s implement a very simple external authentication module that might be used inside a company where simple usernames are used. Suppose your company only hires people named Dave, and usernames are assigned based on first and last names. This module authenticates anyone whose username begins with the string dave, so the users davebrown, davesmith, and davejones will all successfully log in. < php // $Id$ /** * Implementation of hook_auth() */ function authdave_auth($username, $pass, $server) { // Does username begin with 'dave' if (substr(drupal_strtolower($username, 0, 4 )) == 'dave') { // Make a global variable to note that we did the authentication. global $authdave_authenticated; $authdave_authenticated = TRUE; return TRUE; } else { return FALSE; } } If a row in the users table does not exist for this user, one will be created. However, no e-mail address has been provided at login like it was for Drupal s default local user registration, so a module this simple is not a real solution if your site relies on sending e-mail to users. You ll want to set the mail column of the users table so you will have an e-mail address associated with the user. To do this, you can have your module respond to the insert operation of the user hook, which is fired whenever a new user is inserted: /** * Implementation of hook_user() */ function authdave_user($op, &$edit, &$account, $category = NULL) { switch($op) { case 'insert': // New user was just added; if we did authentication, // look up email address of user in a legacy database. global $authdave_authenticated; if ($authdave_authenticated) { $email = mycompany_email_lookup($account->name); // Set email address in the user table for this user. db_query("UPDATE {users} SET mail = '%s' WHERE uid = %d", $email, $account->uid); }

When a user is authorized through the RemoteObject call to the securityService destination, the results arrive in the handleAuthenticatePrincipal result handler The result handler sets the authorized groups to the userProfilegroups Array and performs a check to see if the user is an administrator If an error is returned from the server, the authorizationFaultHandler is called, and the error message is displayed in the client In this example, we also set an endpoint to a local Tomcat web server that contains the compiled Spring services and BlazeDS server That way, we can run our application remotely from the web server container The UserProfile value object contains the username and groups Array necessary to apply authorization for the application This value object will eventually be created in a singleton model to be accessed by the entire application to manage authorized content To run this application, you will need the commons-logging.

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Figure 10-6. A spherical triangle abc, with the lune formed by angle a highlighted Since both curves involved are great circles, determining the surface area of a lune is almost trivial:

jar and backport-utilsconcurrentjar files Running the Flex application will allow you to attempt to authorize user credentials against Spring Security, as shown in Figure 9-3 By using the username katiebug and password test, the user is granted the ROLE_ADMIN and ROLE_USER roles With ROLE_ADMIN, Flex will allow access to the image content..

break; } } Savvy readers will notice that if both local Drupal authentication and our external authentication module are enabled, there is no way for the code running under the insert operation to tell whether the user is locally or externally authenticated, so we ve cleverly saved a global indicating that our module did authentication.

It s simply the percentage of the sphere s total surface area that the angle a is of a full circle (2 , in radians). Although Figure 10-6 has only one lune highlighted, if you look closely, you can see that there are actually six of them. Each of the points a, b, and c is the endpoint of two opposite lunes: one that encompasses the abc triangle, and a second one that includes not the abc triangle, but the shadow abc. The key to finding the area of the triangle abc is to realize that the surface areas of the six lunes can be summed to get an area that is the sphere s total surface area, plus the abc area four extra times:

Figure 9-3. Output from authenticating a user with ROLE_ADMIN Although this example only uses an image, you can see how this technique can be employed to handle authorized content such as data-entry components, financial data in a dashboard, or access to sensitive data loaded into List and DataGrid controls.

Remember that the triangle is there twice, and there are six lunes, each of which includes the triangle s area once. The area must be subtracted four times in order to get back to just the plain old surface area. After substituting the lune surface area formula, and rearranging, we end up with the following formula:

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