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math.max/math.min given NaN

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$ lua
Lua 5.1.3 Copyright (C) 1994-2008 Lua.org, PUC-Rio
> =math.max(0/0),math.min(0/0)
nan nan
> =math.max(0/0,1),math.min(0/0,1)
nan nan
> =math.max(1,0/0),math.min(1,0/0)
1 1
Is that behavior defined? Should it be defined?

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