How can I check if emails that are generated by my code a valid according to RFC 5322 ?
Here's a PCRE regular expression (taken from a PHP library) that will validate according to RFC 5322:
'/^(?!(?>(?1)"?(?>\\\[ -~]|[^"])"?(?1)){255,})(?!(?>(?1)"?(?>\\\[ -~]|[^"])"?(?1)){65,}@)((?>(?>(?>((?>(?>(?>\x0D\x0A)?[\t ])+|(?>[\t ]*\x0D\x0A)?[\t ]+)?)(\((?>(?2)(?>[\x01-\x08\x0B\x0C\x0E-\'*-\[\]-\x7F]|\\\[\x00-\x7F]|(?3)))*(?2)\)))+(?2))|(?2))?)([!#-\'*+\/-9=?^-~-]+|"(?>(?2)(?>[\x01-\x08\x0B\x0C\x0E-!#-\[\]-\x7F]|\\\[\x00-\x7F]))*(?2)")(?>(?1)\.(?1)(?4))*(?1)@(?!(?1)[a-z\d-]{64,})(?1)(?>([a-z\d](?>[a-z\d-]*[a-z\d])?)(?>(?1)\.(?!(?1)[a-z\d-]{64,})(?1)(?5)){0,126}|\[(?:(?>IPv6:(?>([a-f\d]{1,4})(?>:(?6)){7}|(?!(?:.*[a-f\d][:\]]){8,})((?6)(?>:(?6)){0,6})?::(?7)?))|(?>(?>IPv6:(?>(?6)(?>:(?6)){5}:|(?!(?:.*[a-f\d]:){6,})(?8)?::(?>((?6)(?>:(?6)){0,4}):)?))?(25[0-5]|2[0-4]\d|1\d{2}|[1-9]?\d)(?>\.(?9)){3}))\])(?1)$/isD'
Unlike Peter's answer it does allow for single-label domain names (which are syntactically valid) and IPv6 address literals.
However, I'd strongly suggest to instead validate according to RFC 5321 which doesn't allow for comments or folding white space (which are semantically invisible and so not actually a part of the email address) or for obsolete local parts (which can just be re-written as non-obsolete quoted strings):
'/^(?!(?>"?(?>\\\[ -~]|[^"])"?){255,})(?!"?(?>\\\[ -~]|[^"]){65,}"?@)(?>([!#-\'*+\/-9=?^-~-]+)(?>\.(?1))*|"(?>[ !#-\[\]-~]|\\\[ -~])*")@(?!.*[^.]{64,})(?>([a-z\d](?>[a-z\d-]*[a-z\d])?)(?>\.(?2)){0,126}|\[(?:(?>IPv6:(?>([a-f\d]{1,4})(?>:(?3)){7}|(?!(?:.*[a-f\d][:\]]){8,})((?3)(?>:(?3)){0,6})?::(?4)?))|(?>(?>IPv6:(?>(?3)(?>:(?3)){5}:|(?!(?:.*[a-f\d]:){6,})(?5)?::(?>((?3)(?>:(?3)){0,4}):)?))?(25[0-5]|2[0-4]\d|1\d{2}|[1-9]?\d)(?>\.(?6)){3}))\])$/iD'