From: Jean-Julien Fleck <jeanjulien.fleck@...>
Date: 2010-06-08T04:42:34+09:00
Subject: Re: Complex numbers contradiction?

2010/6/7 Andrew Duncan <andrew.duncan@sonos.com>:
> I have ruby 1.8.7 (2009-06-08 patchlevel 173) [universal-darwin10.0]
>
> BTW, I hope that was 1/2 - 1/2i in your post...
>
> If this is a bug, it's pretty egregious.

Seems to be a bug when both real and imaginary parts are integers:

>> require 'complex'
=> true
>> 1/Complex(1,1)
=> Complex(0, -1)
>> Complex(1,1)**(-1)
=> Complex(Rational(1, 2), Rational(-1, 2))
>> 1/Complex(1,0)
=> Complex(1, 0)
>> 1/Complex(1,0.5)
=> Complex(0.8, -0.4)
>> 1/Complex(1,1)
=> Complex(0, -1)
>> 1/Complex(1,2)
=> Complex(0, -1)
>> 1/Complex(1,3)
=> Complex(0, -1)
>> 1/Complex(1,4)
=> Complex(0, -1)
>> 1/Complex(1,4.4)
=> Complex(0.0491159135559921, -0.216110019646365)
>> 1/Complex(1,-1)
=> Complex(0, 0)
>> 1/Complex(1,-2)
=> Complex(0, 0)
>> 1/Complex(2,-2)
=> Complex(0, 0)
>> 1/Complex(2.2,-2)
=> Complex(0.248868778280543, 0.226244343891403)
>> 1/(Complex(1.0001,1.0001))
=> Complex(0.4999500049995, -0.4999500049995)

Brisingr ~>ruby -v
ruby 1.8.7 (2009-06-08 patchlevel 173) [universal-darwin10.0]

Cheers,

-- 
JJ Fleck
PCSI1 Lycée Kléber