-----maxima-bounces at math.utexas.edu wrote: -----
>>?x?+?%i?*?y?=?sqrt(x^2?+?y^2)?*?exp(%i?*?atan2(y,x)),?so
>>?atan2(y,x)?=?-%i*log((y+%i*x)/sqrt(y^2+x^2)).?From?what
>>?I?can?tell,?Maple?and?Mathematica?are?the?same?as?Maxima:
>
>Yes,?this?makes?sense.??It's?also?the?definition?on
>functions.wolfram.com,?where?I?should?have?looked?first.
I don't know how useful it is to extend atan2 to the complex numbers.
Anyway, today I'm filled with FUD. Of course it's silly to get an
asksign for atan2(x,x), but not for atan2(sqrt(3) * x,x).
When Maxima is deep inside a computation and it asks about the sign of
<huge blob involving local variables>, it's annoying; in other cases,
the asksign is great. So I don't know what to do with atan2.
Barton