I'm currently enjoying the joys of Smarty, after having to use it for a class this semester. I will see if I can explain this well! :D
Basically Smarty is a way to code a template without putting PHP and HTML together. You basically need to assign a PHP variable into a Smarty variable, to be able to use it in a .tpl 
I usually set my variables in class_template.php's assignTemplateVars() function with 
	PHP Code:
	
		
			
$this->assign("nameToUseInTemplate",$nameOfVariable); 
		
	
 and in class_frame.php with 
	PHP Code:
	
		
			
$mysidia->template->assign("temp",$var); 
		
	
 So, in those files, as long as you have this:
	PHP Code:
	
		
			
$mysidia = Registry::get("mysidia"); 
		
	
 You can use anything from mysidia. 
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To assign the loggedin variable to a Smarty variable called logged_in in class_template.php:
	PHP Code:
	
		
			
$mysidia = Registry::get("mysidia");
$this->assign("logged_in",$mysidia->user->isloggedin); 
		
	
 You can now use {$logged_in} in your template.tpl file.
More examples (in class_template.php):
	PHP Code:
	
		
			
$mysidia = Registry::get("mysidia");
$this->assign("logged_in",$mysidia->user->isloggedin);
//get user's cash
$this->assign("user_cash",$mysidia->user->getcash());
//get user's username
$this->assign("username",$mysidia->user->username);
//get user's group
$this->assign("group",$mysidia->user->getusergroup());
//get user's new unread messages (3 max)
$messages = $mysidia->db->select("messages", array(), "touser='{$mysidia->user->username}' and status='unread' ORDER BY id DESC LIMIT 3")->fetchAll();
$this->assign("messages",$messages);
//using messages in template.tpl (example):
{foreach from=$messages item=message}
<a href="/messages/read/{$message.id}">
      From:{$message.fromuser}
      Title:{$message.messagetitle}
      Date:{$message.datesent}
</a>
{/foreach}