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From: Krishna Myneni <krishna.myneni@ccreweb.org>
Newsgroups: comp.lang.forth
Subject: Re: Complex square root of -1 : zsqrt(-1)
Date: Sun, 25 Aug 2024 16:04:40 -0500
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On 8/25/24 12:38, ahmed wrote:
....
> 
> 0e 0e 0e 0e z** z. NaNai  ok
> 
> it must be 1 ( tested with python, julia and matlab)
> 
> and
> 0e 0e 1e 0e z** z. NaNai  ok, it must be 0
> 
> in general, with gforth: 0e 0e (a+bi) z** gives false results,
> it must give 0e when (a+bi)<>0e.
> 
> So the definition of z** also must be revised.

Looking at this issue in more depth, there are mathematical arguments 
for the result of 0^0 to be treated as 1 or to be treated as undefined [1].


--
Krishna

1. https://en.wikipedia.org/wiki/Zero_to_the_power_of_zero