Wordpress login using Facebook PHP SDK

I want to add a Facebook login to WordPress without using a plugin. I'm using Facebook's PHP SDK v5 instead of the JavaScript SDK due to my unfamiliarity with Ajax.

So far I'm able to retrieve a user's name and email from Facebook.

• How do I use this to register a user on WordPress?
• Is the password automatically generated by WordPress for a user registered through Facebook?
• Once registered through Facebook, when a user tries to login through Facebook, is the email value enough to proceed with the Login process on WordPress?

via Chebli Mohamed