From: "msnm (Masahiro Nomoto)" <noreply@...>
Date: 2022-09-10T17:46:15+00:00
Subject: [ruby-core:109879] [Ruby master Bug#19004] Complex can be nested by Complex.polar

Issue #19004 has been reported by msnm (Masahiro Nomoto).

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Bug #19004: Complex can be nested by Complex.polar
https://bugs.ruby-lang.org/issues/19004

* Author: msnm (Masahiro Nomoto)
* Status: Open
* Priority: Normal
* ruby -v: 3.1.2
* Backport: 2.7: UNKNOWN, 3.0: UNKNOWN, 3.1: UNKNOWN
----------------------------------------
`Complex.polar` with one argument can return a "nested" Complex instance, whose real part is also a Complex one.

```ruby
puts RUBY_DESCRIPTION
# ruby 3.1.2p20 (2022-04-12 revision 4491bb740a) [x86_64-linux]

p Complex.polar(1+0i)
# ((1+0i)+0i)

p 5.times.inject(1) { |num, _| Complex.polar(num) }
# (((((1+0i)+0i)+0i)+0i)+0i)
```

In Ruby < 2.7 , it simply raises an error when the argument is an instance of Complex (i.e. `obj.real? == false`).

```ruby
puts RUBY_DESCRIPTION
# ruby 2.6.10p210 (2022-04-12 revision 67958) [x86_64-linux]

p Complex.polar(1+0i)
# TypeError (not a real)
```




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