On 2019-05-18 17:14:59 -0500, Ron wrote:
> On 5/18/19 3:49 PM, Peter J. Holzer wrote:
> 
>     On 2019-05-18 15:19:22 -0500, Ron wrote:
> 
>         On 5/18/19 2:27 PM, Peter J. Holzer wrote:
> 
>             On 2019-05-18 10:49:53 -0700, David G. Johnston wrote:
> 
>                 You don’t perform math on a hash
> 
>             That's not generally true. Hashes are used for further 
> computation for
>             example in hash tables or in cryptography.
> 
>         How is it "using math" to use a hash key in a hash lookup table?
> 
>     hash modulo table size.
> 
> 
> I've seen that used when the tablespace is pre-allocated, and you hash modulo
> the tablespace page number.  (Yes, performance tanks when you start filling up
> pages.)  How do you hash on the (ever growing) table size?

The hash function returns a number in a range much larger than the
possible number of buckets. 64 bits is a good choice today. 

To determine the bucket you need to reduce this number to something in
the range [0, nr_buckets). This is where modulo comes in:

i = h % nr_buckets

If the the table fills up, you increase nr_buckets, reallocate and
rehash all entries. 

(If nr_buckets is a power of two, the modulo operation can be
efficiently implemented by using bitwise and)

        hp

-- 
   _  | Peter J. Holzer    | we build much bigger, better disasters now
|_|_) |                    | because we have much more sophisticated
| |   | h...@hjp.at         | management tools.
__/   | http://www.hjp.at/ | -- Ross Anderson <https://www.edge.org/>

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