Login Textfield in sidebar?

Heya

I’d like to add login sidebars to the blog page itself (maybe in sidebar.php). If the login is incorrect, I’d like to show that in sidebar.php, upon logout, I want an echo on sidebar.php.
You see, I’d like to (maybe except the lost password case) inlcude the entire login process to a sidebar in the main blog page.
How would I have to do that? Just copying some of wp-login.php’s contents to sidebar.php wouldn’t work (1. I wouldn’t know which code exactly, 2. sidebar.php and wp-login.php are in completely different folders).
But how could I resolve that?
Thanks!