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Subject: Re: Fail High Reductions - question about researches

Author: Alessandro Damiani

Date: 12:37:47 11/11/04

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On November 11, 2004 at 14:06:53, milix wrote:

>The below pseudocode (slightly modified) comes from the paper
>'Fail High Reductions' of Rainer Feldmann, 1996
>
>int FHR_negascout(alpha, beta, depth)
>{
>   e = evaluate();
>   t = threat();
>   d = depth;
>   fh_node = false;
>   if (!in_check AND alpha==beta-1 AND e-t >= beta) {
>      fh_node = true;
>      d = d-1;
>   }
>   if (d <= 0) return quiescent(alpha, beta);
>   N = generate_moves();
>   low = alpha;  high = beta;  best = -INF;
>   for_all_moves m[i], i=1..N {
>      make_move(m[i]);
>      score = -FHR_negascout(-high, -low, d-1);
>      if (score>low AND score<beta AND i>1) {
>         score = -FHR_negascout(-beta, -score, depth-1);
>      }
>      undo_move(m[i]);
>      low = max(low,score);  best = max(best,score);
>      if (best >= beta) return best;
>      high = low+1;
>   }
>   return best;
>}
>
>My question is about the condition:
>  if (score>low AND score<beta AND i>1)
>
>Why score>low and i>1? I think that we expect this node to fail high,
>so if it didn't we must research. Same for the first move.
>So if the above are true the condition of research must be:
> if ((fh_node AND score<beta) OR (score>low AND score<beta AND i>1))
>
>Am I missing something?
>

NegaScout:
i = 1: this is the first move. it is searched with a full window.
i > 1: for the remaining moves the null-window test is performed. if the score
is better than the current best score then the move is researched with a full
window.

One invariant is: alpha <= low
With this, score > low implies score > alpha.

Alessandro



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