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From: gwyn@brl-smoke.ARPA (Doug Gwyn )
Newsgroups: net.graphics
Subject: Re: plotting on infinite domain
Message-ID: <990@brl-smoke.ARPA>
Date: Mon, 17-Feb-86 02:13:10 EST
Article-I.D.: brl-smok.990
Posted: Mon Feb 17 02:13:10 1986
Date-Received: Wed, 19-Feb-86 20:25:43 EST
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>I want to be able to plot f(x) for x in the range [-infinity..infinity],
>likewise f(x) in [-infinity..infinity]  on a square screen.  What I need is a
>suitable transformation to map this range onto a finite range which yields a
>reasonable scaling.  Something like  x / abs(exp(x)) ?

The obvious function to use is tanh().
Atan() is a reasonable alternative.