What’s the best general implementation of custom #hash methods?

Hello, ruby-talk.

What’s the best (fast, yet with relatively few cases when equal hashes
are generated for non-eql objects) way to implement a hash method?

Is XOR-ing the hashes of an object’s instance variables (assuming that
two objects are eql if their ivars are eql) a good general approach?

I’m asking because I use this pattern in my code, and it seems quite
fast; I needed to work around a bug in MRI’s Set#hash and this solution¹
seems about as fast as the original MRI’s Set#hash. I’m just not sure
whether it’s hashy enough (so to speak) in that two un-eql objects
hashed in this way produce different hashes often enough.

¹ http://github.com/Chastell/art-decomp/commit/b465660b9dcc8eada86f50bbcb8f951aa8145a19

— Shot

···

--
Ill-informed qmail-bashing is better than
no qmail-bashing at all. [Don Marti]

Well, let's look at how Array#hash works here's the 1.8 C code:

static VALUE
rb_ary_hash(ary)
    VALUE ary;
{
    long i, h;
    VALUE n;

    h = RARRAY(ary)->len;
    for (i=0; i<RARRAY(ary)->len; i++) {
  h = (h << 1) | (h<0 ? 1 : 0);
  n = rb_hash(RARRAY(ary)->ptr[i]);
  h ^= NUM2LONG(n);
    }
    return LONG2FIX(h);
}

This looks like a typical cryptographic hash algorithm pattern
combining bit rotation and xor. It seeds the value with the length of
the array, then for each element, rotates the value 1 bit to the left,
then xors in the elements hash.

This scrambles the bits more than just a straight xor

···

On Thu, Sep 10, 2009 at 11:56 AM, Shot (Piotr Szotkowski)<shot@hot.pl> wrote:

Hello, ruby-talk.

What’s the best (fast, yet with relatively few cases when equal hashes
are generated for non-eql objects) way to implement a hash method?

Is XOR-ing the hashes of an object’s instance variables (assuming that
two objects are eql if their ivars are eql) a good general approach?

I’m asking because I use this pattern in my code, and it seems quite
fast; I needed to work around a bug in MRI’s Set#hash and this solution¹
seems about as fast as the original MRI’s Set#hash. I’m just not sure
whether it’s hashy enough (so to speak) in that two un-eql objects
hashed in this way produce different hashes often enough.

--
Rick DeNatale

Blog: http://talklikeaduck.denhaven2.com/
Twitter: http://twitter.com/RickDeNatale
WWR: http://www.workingwithrails.com/person/9021-rick-denatale
LinkedIn: http://www.linkedin.com/in/rickdenatale

Shot (Piotr Szotkowski) wrote:

Hello, ruby-talk.

What’s the best (fast, yet with relatively few cases when equal hashes
are generated for non-eql objects) way to implement a hash method?

One way is to just put everything you care about into an array and hash that, as in:

http://blade.nagaokaut.ac.jp/cgi-bin/scat.rb/ruby/ruby-talk/230421

But it might not qualify as "fast", I suppose.

···

--
       vjoel : Joel VanderWerf : path berkeley edu : 510 665 3407

You could check out some of these (in several languages including Ruby): .:: General Purpose Hash Function Algorithms - By Arash Partow ::.

···

Date: Fri, 11 Sep 2009 00:56:14 +0900
From: shot@hot.pl
Subject: What’s the best general implementation of custom #hash methods?
To: ruby-talk@ruby-lang.org

Hello, ruby-talk.

What’s the best (fast, yet with relatively few cases when equal hashes
are generated for non-eql objects) way to implement a hash method?

Is XOR-ing the hashes of an object’s instance variables (assuming that
two objects are eql if their ivars are eql) a good general approach?

I’m asking because I use this pattern in my code, and it seems quite
fast; I needed to work around a bug in MRI’s Set#hash and this solution¹
seems about as fast as the original MRI’s Set#hash. I’m just not sure
whether it’s hashy enough (so to speak) in that two un-eql objects
hashed in this way produce different hashes often enough.

¹ fix a Ruby (MRI) bug in Set#hash · chastell/art-decomp@b465660 · GitHub

— Shot
--
Ill-informed qmail-bashing is better than
no qmail-bashing at all. [Don Marti]

_________________________________________________________________
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The drawback to this algorithm would be that if you have the same
values but in different variables, they'll end up hashing the same.
For example:

class Pair
  def initialize(a,b)
    @a,@b=a,b
  end
  def hash
    @a.hash^@b.hash
  end
end

Pair.new("foo","bar").hash==Pair.new("bar","foo").hash #=>true

As a practical matter, this often doesn't matter. It depends on the
application and if you think this kind of situation is likely. For
general purpose use, it's better to have some way of encoding the
'location' of each sub-value in the hash as well.

···

On 9/10/09, Shot (Piotr Szotkowski) <shot@hot.pl> wrote:

Hello, ruby-talk.

What’s the best (fast, yet with relatively few cases when equal hashes
are generated for non-eql objects) way to implement a hash method?

Is XOR-ing the hashes of an object’s instance variables (assuming that
two objects are eql if their ivars are eql) a good general approach?

I must take STRONG exception to your characterization of this
algorithm. This method performs parallel xors of the data. Change one
bit of one of the values, and you change one bit of the hash. A
fundamental property of cryptographic hashes is that changing one bit
of the input changes many bits of output. This is even true of crcs.
Cryptographic hashes do rotate & xor (sometimes), but only as part of
a larger operation.

···

On Sep 10, 10:49 am, Rick DeNatale <rick.denat...@gmail.com> wrote:

On Thu, Sep 10, 2009 at 11:56 AM, Shot (Piotr Szotkowski)<s...@hot.pl> wrote:
> Hello, ruby-talk.

> What’s the best (fast, yet with relatively few cases when equal hashes
> are generated for non-eql objects) way to implement a hash method?

> Is XOR-ing the hashes of an object’s instance variables (assuming that
> two objects are eql if their ivars are eql) a good general approach?

> I’m asking because I use this pattern in my code, and it seems quite
> fast; I needed to work around a bug in MRI’s Set#hash and this solution¹
> seems about as fast as the original MRI’s Set#hash. I’m just not sure
> whether it’s hashy enough (so to speak) in that two un-eql objects
> hashed in this way produce different hashes often enough.

Well, let's look at how Array#hash works here's the 1.8 C code:

static VALUE
rb_ary_hash(ary)
VALUE ary;
{
long i, h;
VALUE n;

h = RARRAY\(ary\)\-&gt;len;
for \(i=0; i&lt;RARRAY\(ary\)\-&gt;len; i\+\+\) \{
    h = \(h &lt;&lt; 1\) | \(h&lt;0 ? 1 : 0\);
    n = rb\_hash\(RARRAY\(ary\)\-&gt;ptr\[i\]\);
    h ^= NUM2LONG\(n\);
\}
return LONG2FIX\(h\);

}

This looks like a typical cryptographic hash algorithm pattern
combining bit rotation and xor. It seeds the value with the length of
the array, then for each element, rotates the value 1 bit to the left,
then xors in the elements hash.

This scrambles the bits more than just a straight xor

--
Rick DeNatale