Author: Robert Hyatt
Date: 08:07:20 10/11/98
Go up one level in this thread
On October 11, 1998 at 09:23:27, blass uri wrote: > >On October 11, 1998 at 07:52:57, Roberto Waldteufel wrote: > >> >>On October 11, 1998 at 03:07:04, blass uri wrote: >> >>> >>>On October 11, 1998 at 00:42:55, Robert Hyatt wrote: >>> >>>>On October 10, 1998 at 00:56:05, blass uri wrote: >>>> >>>>> >>>>>On October 09, 1998 at 22:54:49, Roberto Waldteufel wrote: >>>>> >>>>>> >>>>>>On October 09, 1998 at 18:46:36, David Eppstein wrote: >>>>>> >>>>>>>On October 09, 1998 at 15:24:26, Robert Hyatt wrote: >>>>>>>>This doesn't matter however, because *every* possible position must be accounted >>>>>>>>for, with an exact distance to mate for the side on move with that specific >>>>>>>>piece configuration. So they *all* have to be computed to build the next one >>>>>>>>after them... >>>>>>> >>>>>>>You don't need distance to mate if you are searching from a non-tablebase >>>>>>>position trying to reach a tablebase position (and aren't worried about the 50 >>>>>>>move rule, but you must not be since you're using distance to mate). >>>>>>> >>>>>>>If the actual game reaches a won tablebase position, you need some way to force >>>>>>>progress, but it doesn't have to be distance to mate. If you can always search >>>>>>>deeply enough to find a conversion (capture or pawn move), you can use distance >>>>>>>to conversion, and only store win/loss/draw in the tablebase. In any KXP-KP or >>>>>>>KX-KPP endgame, searching deeply enough to find a conversion should be easy >>>>>>>(there are fewer than a million distinct positions in which at most one pawn has >>>>>>>moved, so you can load just that part of the tablebase into memory and use the >>>>>>>hashtable to do the search quickly no matter how deep it is). >>>>>>> >>>>>>>But I agree with your main point, that the heuristics suggested by the poster >>>>>>>you were responding to aren't good enough -- the information needs to be exact, >>>>>>>and you need to compute lots of other tablebases before you can think about >>>>>>>KPP-KP. >>>>>> >>>>>>Even if the search were too deep to be feasible, eg an ending like KBBKN, it is >>>>>>still possible to reduce memory access requirements during the search by storing >>>>>>only win/loss/draw information, if we maintain a separate tablebase (not used in >>>>>>the search) which simply contains the best move >>>>> >>>>>You need memory to store the best move for example in KBBKN for the stronger >>>>>side the maximal number of legal moves is 8+13+13=34 legal moves >>>>>and you need 6 bits for a move so I think you do not save memory by this. >>>>>If you have a good order of moves and always 1 of the first 32 moves is best you >>>>>can need only 5 bits >>>>> >>>> >>>> >>>>I don't want to sound "harsh" but let's not get rediculous. Exactly *how* >>>>can we generate moves and *guarantee* that the best move is in the first >>>>32? That is completely *impossible* to do, and discussing it makes no sense >>>>at all. >>>> >>>>Also, in databases, we *do* *not* store "moves". That is a misconception of >>>>some sort. Moves are not stored, only the status of each possible position. >>> >>>I know that we store a number for every position and the numbers represent moves >>>but I understand that the idea of roberto is to to store numbers that represent >>>moves and to store the result(only in win,draw,loss) instead of storing numbers >>>that represent exact results >>> >>>In KBBvs KN we can do for every position a list of legal moves such that the >>>moves that lose a bishop without giving the oppoent to mate in 1 or causing the >>>distance of the kings to be longer are in the end of the list. >>> >>>If in all the positions there is a best move from the 32 first moves in the list >>>we can store the right move by 5 bits. >>>> >>>> >>>> >>>> >>>>>If you store distance to conversion with my idea you need only 5 bits >>>>>for 1-2,3-4,...49-50,draw,loss >>>>>You need to do a search but I do not think there is a problem with small search. >>>>> >>>>>Uri >>>> >>>> >>>>this kind of statement isn't helping, either. "I do not think..." is not >>>>a convincing argument. >>> >>>you need to search only to improve the score. >>>and if 2 plies are not enough you search for 4 plies >>> >>> "I implemented this and can prove that it will work" >>>is >>>>going to convince me a lot quicker. >>> >>>I did not try to implement it but I see no problems with the idea. >>> >>> "thinking" doesn't cut it here. It *has* >>>>to be right or it will certainly be wrong... And wrong we can't stand, because >>>>we trust these results *perfectly*... >>> >>>I agree it has to be right but I do not see a reason why it is wrong >>>The algoritam is simple and the only problem I can see is a problem of time but >>>I understand that 1000 hits on the tablebases per position is not a problem and >>>you do not need more to search 4 plies(for most of the lines you need only 2 >>>plies and 4 plies are only for best defences of the loser). >>> >>>Uri >> >>Hi Uri, >> >>Let me explain exactly what I had in mind. For something like KPK my method >>requires *two* files, a small one and a large one. Whenever a KPK position with >>stronger side to move occurs in the regular search, I look it up in the small >>file, where a single bit per position is stored to indicate win/draw and I >>return the result as appropriate. Many endings would require the possibility of >>loss (therefore needing 2 bits per position instead of 1), but in KPvK there is >>no possibility of a loss for the stronger side, so 1 bit per position is >>rquired. This cuts down on the size of the table for he purpose of table >>look-ups during the search, which must be very fast, so I thought a smaller >>table would cut down on memory bandwidth and improve speed. >> >>When the program finds itself with a KPK position at the root, no score is >>necessary, but a move is needed. This is where the large file comes in. This >>would contain a move for every position. You could try to compress the way the >>move is stored - I use 1 byte to store the move, consisting of 6 bits for >>destination square and two bits to identify the moving piece and if the move >>involves an underpromotion (there exist 6 KPK positions in which the only way to >>win is to underpromote to a rook). But it is not so important for this file to >>be compressed, because you only access it once to make the move, with no >>searching at all. > >I thought that there is a need for this files to be compressed because you have >not infinite memory in the harddisk and if you want to use many files like this >for 4 pieces and for 5 pieces you may have a problem to save the files. > >I understand that you thought about compressing only to do the program faster > >Problem of memory in the harddisk is not important for you now because you did >not implemented even 4 pieces files but it may be important for the future > >In KPK v K the program may play perfect by search so you do not have to save >files >saving files for moves start to be important only for endings like KQKR >positions. >saving files for distance to mate is the same as saving files for moves because >you can compute the move by the distance to mate and the question is only for >what option you need less memory > >Best wishes >Uri two things here... 1. I'm not aware of any program that can "search" KP vs K to a win. In Crafty, I added special evaluation for KP vs K so that I can play it correctly without a tablebase... 2. however the real point is deep in the search, say KRRP vs KRR, and you find a way to trade all 4 rooks leaving you in a KP vs K ending. Do you do it? Only if you are sure it is not drawn... so you need this *way* out in the search...
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