ArcTan[1/0] no result, but ArcTan[Infinity] ok. How to resolve?
- To: mathgroup at smc.vnet.net
- Subject: [mg56878] ArcTan[1/0] no result, but ArcTan[Infinity] ok. How to resolve?
- From: "steve" <nma124 at hotmail.com>
- Date: Mon, 9 May 2005 01:45:59 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Mathematica 5.1, on windows.
ArcTan[1/0] gives an error but
ArcTan[Infinity] gives the correct answer.
One way to make ArcTan[1/0] give Pi/2 is to
write it as ArcTan[0,1].
I do know that 1/0 is DirectedInfinity with
unknown direction while Infinity is
DirectedInfinity, and that is probably the
reason that ArcTan[1/0] gives an error
but ArcTan[Infinity] does not.
I am asking is how to make 1/0 result in DirectedInfinity
to avoid the error? is this possible?
What function do I need to wrap 1/0 with to
cause it to become Infinity instead of
Infinity ? or may be I need to figure how
to detect if a division results in Infinity
and convert that to Infinity? do I need
to redfine 1/0 somehow? may be make a new
rule to say if Mathematica see 1/0 expression then
make it Infinity? but may be this will screw
Or may I should not mess with this stuff and
just change the code to ArcTan[x,y] instead of
ArcTan[y/x] and be happy?
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