Does the French term "revue de rigueur" have any special meaning, or is it just an ordinary inspection ? Means, is there also a "revue sans rigueur", and what is the difference ?

The purpose of this kind of inspection seems to have varied, I found it was done on

- the exact number of men present:

https://books.google.de/books?id=yxZOAAAAcAAJ&pg=PA89&dq="revue+de+rigueur"

- the correct accounting of the unit:

https://books.google.de/books?id=OV5AAAAAcAAJ&pg=RA2-PA94&dq="revue+de+rigueur"

- the state of clothing, equipment and arms:

https://books.google.de/books?id=cOJgAAAAcAAJ&pg=PA143&dq="revue+de+rigueur"

- the nationality of the soldiers (in the légion portugaise):

https://books.google.de/books?id=F81EAQAAMAAJ&pg=PA13&dq="revue+de+rigueur"