From:

Amit Bhatia <abhatia@nospam.nospam.com>

Newsgroups:

comp.theory,comp.lang.c++

Date:

Mon, 08 Oct 2007 17:36:44 -0400

Message-ID:

<fee7tc$d1b$1@daisy.noc.ucla.edu>

I am trying to write a hash function that works on a pair of integers.

so I have a pair<int,int> of integers. Let the first element be called

"a" and second as "b".

I know before hand that:

0<=a<30

-2^a<=b<=2^a-1.

In more detail, I am using this to keep a record of lattice points seen

on a multi resolution hierarchical grid. A resolution level "l" has

2^{l*d} elements where d is the dimension of the space.

Also, there can be at most two different instantiations of the same

region in the grid for my work. To distinguish them, I add +1 and put

-ve sign in front of one copy.

So <a,b>, and <a,-(b+1)> represent the same region in the grid.

As a result, there can be a key <4,3> and another key <4,-3>

If all the b's were >0, then I could already think of a very simple

perfect hash function:

size_t value = 1<<a+b;

However, if b<0 is also possible, then, I can only think of

size_t value;

if(b>=0) value = 1<<a+b;

else value = 2^30 + 1<<a+-(b+1); // I know a<30 for sure.

Now I used this in my code, and did some profiling and I found that I am

spending almost 80 % of the time just looking up if a key exists in this

hash map. (there are no other major calculations in the program function

where this "find" operation is called).

So for example, in one particular execution of the program, the function

which calls this key lookup is called

158905316 times and takes 100 sec (~80%) of the time.

My question is: can I do much faster than this? I am not an expert, and

I am using g++ 4.2 on a pentium 4 2.4 Ghz with 512 MB RAM. But still

this should be much faster.

What is really surprising is that if I use maps instead, they are

running faster.

So for about, 83127320 calls, I take 16.06 sec (~47.26%) if I use a stl map.

thanks,

-amit.

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