From: jzakiya@...
Date: 2017-07-04T15:01:07+00:00
Subject: [ruby-core:81900] [Ruby trunk Bug#13711] Unexpected behavior of bit_length method on negative integers

Issue #13711 has been updated by jzakiya (Jabari Zakiya).


Thanks for the explanation.

This morning I went and looked at the documentation for **bit_length** and it clearly describes its behavior.
After reading it, and your explanation, I now understand the logic for its behavior.

http://ruby-doc.org/core-2.4.1/Integer.html

```
bit_length ��� integer click to toggle source
Returns the number of bits of the value of int.

"the number of bits" means that the bit position of the highest bit which is different to the sign bit. (The bit position of the bit 2**n is n+1.) If there is no such bit (zero or minus one), zero is returned.

```

----------------------------------------
Bug #13711: Unexpected behavior of bit_length method on negative integers
https://bugs.ruby-lang.org/issues/13711#change-65629

* Author: jzakiya (Jabari Zakiya)
* Status: Open
* Priority: Normal
* Assignee: 
* Target version: 
* ruby -v: 
* Backport: 2.2: UNKNOWN, 2.3: UNKNOWN, 2.4: UNKNOWN
----------------------------------------
The two's complement representation of negative integers produces unexpected results
when the **bit_length** method is applied to them.

```
5.bit_length => 3
4.bit_length => 3
3.bit_length => 2
2.bit_length => 2
1.bit_length => 1
0.bit_length => 0
(-1).bit_length => 0
(-2).bit_length => 1
(-3).bit_length => 2
(-4).bit_length => 2
(-5).bit_length => 3
(-6).bit_length => 3
(-7).bit_length => 3
(-8).bit_length => 3
(-9).bit_length => 4
```

I would have thought that **bit_length** on a negative integer would return the number
of bits it takes to represent a two's complement number on the given cpu/os.

Since the two's complement of negative integers are of the form:

```
-1 =>  111111111111111111
-2 =>  111111111111111110
-3 =>  111111111111111101
-4 =>  111111111111111100
-5 =>  111111111111111011
-6 =>  111111111111111010
-7 =>  111111111111111001
-8 =>  111111111111111000
-9 =>  111111111111110111
```

it thus appears for negative integers **bit_length** returns the bit
position of the left most **0** of the two's complement representation.

Is this correct?
Is this intentional?
If so, can an explanation of this behavior/rationale be given.



-- 
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