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Subject: Re: EGTB Indexing

Author: Robert Hyatt

Date: 09:25:33 04/09/03

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On April 09, 2003 at 10:25:02, Tony Werten wrote:

>On April 09, 2003 at 09:34:50, Guido wrote:
>
>>On April 09, 2003 at 02:42:17, Tony Werten wrote:
>>
>>>On April 08, 2003 at 18:15:33, Guido wrote:
>>>
>>>>On April 08, 2003 at 02:57:42, Tony Werten wrote:
>>>>
>>>>>On April 07, 2003 at 14:28:55, Dieter Buerssner wrote:
>>>>>
>>>>>>On April 06, 2003 at 16:09:02, Tony Werten wrote:
>>>>>>
>>>>>>>For simple EGTB:
>>>>>>>
>>>>>>>After placing the white king, there are only 63 squares left, after placing the
>>>>>>>white king there are only 62 squares left. So the index would be calculated
>>>>>>>((((SQWK*64)+SQBK)*63)+SQWR)
>>>>>>>
>>>>>>>SQBK (square black king ) would be adjusted as follows: if SQBK<SQWK then
>>>>>>>dec(SQBK)
>>>>>>>SQWR would be adjusted: if SQWR<SQWK then dec(SQWR); if SQWR<SQBK then dec(SQWR)
>>>>>>>
>>>>>>>That's the trick that saves space (well, to start with) Of course it has 1 nasty
>>>>>>>side effect: You can go from a position to an index, but it's quite impossible
>>>>>>>to get the position back from an index.
>>>>>>
>>>>>>I think it is easy.
>>>>>
>>>>>No it's not. The fact that it works in my simplified example doesn't mean
>>>>>anything, since nobody uses this.
>>>>
>>>>I use this in my EGTBs and it is OK also in a not simplified example.
>>>
>>>Do you include EP as well? That's where my "quite impossible"  starts coming in.
>>
>>No, I don't include EP in tablebases generation, at least for now, but EP is
>>considered in my EGTBs utilization, simulating the execution of the possible
>>immediate EP capture. This way of operating is not completely correct, as Uri
>>Blass demonstrated to me in a past thread, but I think that it gives an
>>erroneous result in very few positions.
>
>Probably the safest way (I used to use) is jump out of the probing code with a
>"position not found" result. Your search will continue and find the correct
>result 1 ply later.
>
>Tony

Or use Eugene's code which handles EP correctly.  :)


>
>
>>The problem for me is connected to the fact that in the indexing I always
>>suppose that the order of the men, pawns in this case, is fixed and that file
>>dimensions are the same independently from the mover.
>>So for example KPKP occupies 462*48*47 for both the files, while using 56 (48+8
>>positions for EP), I would have:
>>
>>Move to White = 462*48*55          (kings, white pawn, black pawn)
>>Move to Black = 462*56*47          (kings, white pawn, black pawn)
>>
>>More exactly in the first case the black pawn would have 55 or 54 possible
>>positions depending on the position of the white pawn.
>>For these reasons in my EGTBs I left back the rigorous treatment of EP.
>>
>>The process of indexing can be considered as the computation of a global index
>>in a n-D matrix. In the above mentioned example the matrix would be
>>M[462][48][47] and inversion of the process is not complicate. On the contrary
>>it becomes more difficult (and very expensive in cpu time unless using
>>other tables), if  the dimensions of the single indexes are interrelated and not
>>fixed, as I suppose it happens in Nalimov's files.
>>
>>>
>>>
>>>>I use tables for Kings and for 2 identical men; obviously I need of other tables
>>>>for each case if I want to go from a position to index and viceversa.
>>>>For 3 or more identical men I use mathematics for both the transformations.
>>>>In my opinion the difficulty of the inverse process in Nalimov EGTBs depends on
>>>>the fact that, in order to reduce the dimensions of the tablebases, positions
>>>>where there is a check, with the man close to the opponent king, are eliminated
>>>>from the file.
>>>
>>>You mean it becomes "quite impossible" in a real situation instead of a
>>>simplified example ?  :)  Mind you, I'm not sure it's impossible, it's at least
>>>very hard.
>>
>>I also think it is very hard not impossible.
>>
>>Ciao
>>Guido



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