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Zobrist alternative?
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H.G.Muller



Joined: 10 Mar 2006
Posts: 12755
Location: Amsterdam
PostPost subject: Re: ignored idea here    Posted: Thu Jun 14, 2012 5:50 am Reply to topic Reply with quote
Daniel Shawul wrote:
The silence is deafening Smile Anyway now I am more or less convinced that adding the keys works as good as ,if not better ,than any other method. To summarize:
Code:

    key(piece,square) = key1[piece] + key2[square]

And then xor to get final keys.
Code:

    final_key = key(p1,sq1) ^ key(p2,sq2) ^ key(p3,sq3) ^ ... etc

Advantages:
a) addition is much faster than multiplication
b) requires very small talbles at least for this game. 209 + 36 x 36 = 1505 keys are required which a reduction of about 465X times!
c) keeps the uniform distribution while others like multiplication skew it somehow.


Indeed, the space savings on 'factorizing' the key are huge. This is why I liked it. You could be right in that multiplication might be unnecessary, and (faster) addition could do. I would have to try how it affects collisions, as I am not completely at easy with it: addition is a lot like XOR, and for 'sparse' numbers (few 1 bits) they are often the same. Of course random numbers will hardly ever be sparse, but they will always always contain some sparses zones, and it is conceivable this would decrease their effective length.
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Subject Author Date/Time
Zobrist alternative? H.G.Muller Tue Jun 12, 2012 7:35 pm
      Re: Zobrist alternative? Kevin Hearn Tue Jun 12, 2012 7:44 pm
      Re: Zobrist alternative? Daniel Shawul Tue Jun 12, 2012 8:19 pm
            Re: Zobrist alternative? H.G.Muller Tue Jun 12, 2012 8:54 pm
                  Re: Zobrist alternative? Daniel Shawul Tue Jun 12, 2012 9:46 pm
                        Re: Zobrist alternative? Daniel Shawul Wed Jun 13, 2012 3:24 am
                        Re: Zobrist alternative? Daniel Shawul Wed Jun 13, 2012 4:14 am
                              ignored idea here Daniel Shawul Wed Jun 13, 2012 4:00 pm
                                    Re: ignored idea here Daniel Shawul Thu Jun 14, 2012 1:30 am
                                          Re: ignored idea here H.G.Muller Thu Jun 14, 2012 5:50 am
                                                Re: ignored idea here Daniel Shawul Thu Jun 14, 2012 12:52 pm
                                          Re: ignored idea here Edmund Moshammer Thu Jun 14, 2012 8:21 am
                                                Re: ignored idea here Edmund Moshammer Thu Jun 14, 2012 9:27 am
      Re: Zobrist alternative? Wylie Garvin Tue Jun 12, 2012 8:27 pm
            Re: Zobrist alternative? H.G.Muller Tue Jun 12, 2012 8:36 pm
                  Re: Zobrist alternative? Vincent Diepeveen Wed Jun 13, 2012 1:01 pm
                  Re: Zobrist alternative? Wylie Garvin Wed Jun 13, 2012 10:57 pm
                        Re: Zobrist alternative? H.G.Muller Thu Jun 14, 2012 5:42 am
                              Re: Zobrist alternative? Robert Hyatt Thu Jun 14, 2012 1:17 pm
                                    Re: Zobrist alternative? H.G.Muller Thu Jun 14, 2012 2:17 pm
                                          Re: Zobrist alternative? Wylie Garvin Thu Jun 14, 2012 6:11 pm
                        Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 10:05 am
      Re: Zobrist alternative? Reinhard Scharnagl Wed Jun 13, 2012 9:52 am
            Re: Zobrist alternative? Edmund Moshammer Wed Jun 13, 2012 9:58 am
                  Re: Zobrist alternative? Reinhard Scharnagl Wed Jun 13, 2012 12:49 pm
                        Re: Zobrist alternative? Edmund Moshammer Wed Jun 13, 2012 1:15 pm
                              Re: Zobrist alternative? Reinhard Scharnagl Wed Jun 13, 2012 1:41 pm
                                    Re: Zobrist alternative? Edmund Moshammer Wed Jun 13, 2012 3:55 pm
                                          Re: Zobrist alternative? Reinhard Scharnagl Wed Jun 13, 2012 4:03 pm
      Re: Zobrist alternative? H.G.Muller Wed Jun 13, 2012 2:19 pm
            Re: Zobrist alternative? Vincent Diepeveen Wed Jun 13, 2012 2:44 pm
            Re: Zobrist alternative? Vincent Diepeveen Wed Jun 13, 2012 2:48 pm
                  Re: Zobrist alternative? Vincent Diepeveen Wed Jun 13, 2012 3:28 pm
                  Re: Zobrist alternative? H.G.Muller Wed Jun 13, 2012 4:01 pm
                        Re: Zobrist alternative? Vincent Diepeveen Wed Jun 13, 2012 5:42 pm
                              Re: Zobrist alternative? H.G.Muller Wed Jun 13, 2012 5:51 pm
                        Re: Zobrist alternative? Vincent Diepeveen Wed Jun 13, 2012 6:27 pm
            Re: Zobrist alternative? Daniel Shawul Wed Jun 13, 2012 5:29 pm
            Re: Zobrist alternative? Karlo Bala Jr. Thu Jun 14, 2012 9:50 am
      Re: Zobrist alternative? Reinhard Scharnagl Thu Jun 14, 2012 8:49 am
            Re: Zobrist alternative? H.G.Muller Thu Jun 14, 2012 9:09 am
            Re: Zobrist alternative? Daniel Shawul Thu Jun 14, 2012 1:11 pm
                  Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 10:12 am
      Re: Zobrist alternative? Don Dailey Thu Jun 14, 2012 4:46 pm
            Re: Zobrist alternative? Don Dailey Thu Jun 14, 2012 6:38 pm
                  Re: Zobrist alternative? Daniel Shawul Thu Jun 14, 2012 6:57 pm
                        Re: Zobrist alternative? Don Dailey Fri Jun 15, 2012 2:39 pm
                              Re: Zobrist alternative? H.G.Muller Fri Jun 15, 2012 3:46 pm
                                    Re: Zobrist alternative? Daniel Shawul Fri Jun 15, 2012 5:22 pm
                                          Re: Zobrist alternative? H.G.Muller Fri Jun 15, 2012 5:38 pm
                                                Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 10:17 am
                              Re: Zobrist alternative? Daniel Shawul Fri Jun 15, 2012 5:04 pm
                                    Re: Zobrist alternative? Don Dailey Fri Jun 15, 2012 6:00 pm
                                          Re: Zobrist alternative? Daniel Shawul Fri Jun 15, 2012 7:27 pm
                                                Re: Zobrist alternative? Don Dailey Fri Jun 15, 2012 8:16 pm
                                                      Re: Zobrist alternative? Daniel Shawul Fri Jun 15, 2012 8:42 pm
                                                      Re: Zobrist alternative? Daniel Shawul Fri Jun 15, 2012 9:14 pm
                                                            Re: Zobrist alternative? Don Dailey Fri Jun 15, 2012 10:59 pm
                                                                  Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 12:17 am
                                                                        Re: Zobrist alternative? Don Dailey Sat Jun 16, 2012 4:28 am
                                                                              Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 6:30 am
                                                                                    Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 10:09 am
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 10:22 am
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 10:42 am
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 10:54 am
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 11:03 am
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 11:08 am
                                                                                          Re: Zobrist alternative? Don Dailey Sat Jun 16, 2012 12:03 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 12:55 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:21 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 2:25 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:44 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 12:35 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 1:11 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 1:15 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 1:56 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 2:05 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:10 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 2:22 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:29 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 2:35 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:39 pm
                                                                                          Re: Zobrist alternative? Don Dailey Sat Jun 16, 2012 3:49 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 4:35 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 2:11 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:13 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:19 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 2:29 pm
                                                                                          Re: Zobrist alternative? Vincent Diepeveen Sat Jun 16, 2012 2:32 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 4:19 pm
                                                                                          Re: Zobrist alternative? Don Dailey Sat Jun 16, 2012 4:50 pm
                                                                                          Re: Zobrist alternative? Daniel Shawul Sat Jun 16, 2012 4:25 pm
                                                Re: Zobrist alternative? Don Dailey Fri Jun 15, 2012 8:21 pm
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