date validation via regex

This is something people often ask for.  The stock answer is that
regexes aren't the correct solution, but really it's not so hard.

This validates Gregorian MM/DD/CCYY dates, for example:

qr#^
    (?: 0[1-9] | 1[012] )
    /
    (?:
        0[1-9] | 1[0-9] | 2[0-8]
        | (?<! 0[2469]/ | 11/ ) 31
        | (?<! 02/ ) 30
        | (?<! 02/
             (?= ...
                 (?:
                     .. (?: [02468][1235679] | [13579][01345789] )
                     | (?: [02468][1235679] | [13579][01345789] ) 00
                 )
             )
        ) 29
    )
    /
    [0-9]{4}
    \z
#x