Who knows the formula for checking the solar calendar in the lunar calendar, or has a special formula for pushing the perpetual calendar?

It seems impossible. In my impression, there is absolutely no such thing. The lunar calendar is the lunar calendar and the solar calendar is the solar calendar. There seems to be no connection between the two. Our beginning of spring seems to be fixed on a certain day of the lunar calendar. I forgot now! Anyway, there should be no such method as you said.