I think the key section is the phrase "ANSI-approved safety glasses" in the manual. Regular safety glasses, such as the prescription ones we get at work, are marked with a Z stamp indicating the ANSI rating - usually Z87.1. If you can show the safety inspection a similar stamp on your sports glasses, or perhaps in the case it came in, then they should be okay.
see
http://www.visionrx.com/library/enc/enc_ansi.asp
ANSI ratings are used just in the US though. I'm sure there are equivalent organizations overseas that rate impact strength as well.
Tint is a different issue.