Pre-Filled Comment Form if Logged In

Using the form below.. if I was logged in, how do I have username/email not show up, and, instead have “Logged in as ___”. As of now, whether I’m logged in or not, the input fields for author and email are still visible.

<form action="<?php echo get_option('siteurl'); ?>/wp-comments-post.php" method="post" id="commentform">
    <input type="text" name="author" id="author" value="Your name.." />*<br />
    <input type="text" name="email" id="email" value="Your email address.." />*
    <textarea name="comment" id="comment">Type your comment here..</textarea>
    <input class="submit" id="submit" name="submit" type="submit" value="POST COMMENT" />
    <?php comment_id_fields(); ?>
    <?php do_action('comment_form', $post->ID); ?>
</form>