Correct Rewrite?

[mevans336]

We currently use the following method to perform an http to https rewrite.

rewrite ^ https://$server_name$request_uri permanent;

I am planning to change it to the preferred method of:

return 301 https://$server_name$request_uri;

However, we'd like to also make sure any requests for domain.com are sent to
www.domain.com, whether someone tries to access domain.com via http or
https.

How would I write the redirect statement to rewrite http:// to https:// but
also rewrite domain.com to www.domain.com?

Posted at Nginx Forum: https://forum.nginx.org/read.php?2,265257,265257#msg-265257