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  1. /*
  2.   Stockfish, a UCI chess playing engine derived from Glaurung 2.1
  3.   Copyright (C) 2004-2008 Tord Romstad (Glaurung author)
  4.   Copyright (C) 2008-2015 Marco Costalba, Joona Kiiski, Tord Romstad
  5.   Copyright (C) 2015-2018 Marco Costalba, Joona Kiiski, Gary Linscott, Tord Romstad
  6.  
  7.   Stockfish is free software: you can redistribute it and/or modify
  8.   it under the terms of the GNU General Public License as published by
  9.   the Free Software Foundation, either version 3 of the License, or
  10.   (at your option) any later version.
  11.  
  12.   Stockfish is distributed in the hope that it will be useful,
  13.   but WITHOUT ANY WARRANTY; without even the implied warranty of
  14.   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  15.   GNU General Public License for more details.
  16.  
  17.   You should have received a copy of the GNU General Public License
  18.   along with this program.  If not, see <http://www.gnu.org/licenses/>.
  19. */
  20.  
  21. #include <algorithm>
  22. #include <cassert>
  23. #include <numeric>
  24. #include <vector>
  25.  
  26. #include "bitboard.h"
  27. #include "types.h"
  28.  
  29. namespace {
  30.  
  31.   // There are 24 possible pawn squares: the first 4 files and ranks from 2 to 7
  32.   const unsigned MAX_INDEX = 2*24*64*64; // stm * psq * wksq * bksq = 196608
  33.  
  34.   // Each uint32_t stores results of 32 positions, one per bit
  35.   uint32_t KPKBitbase[MAX_INDEX / 32];
  36.  
  37.   // A KPK bitbase index is an integer in [0, IndexMax] range
  38.   //
  39.   // Information is mapped in a way that minimizes the number of iterations:
  40.   //
  41.   // bit  0- 5: white king square (from SQ_A1 to SQ_H8)
  42.   // bit  6-11: black king square (from SQ_A1 to SQ_H8)
  43.   // bit    12: side to move (WHITE or BLACK)
  44.   // bit 13-14: white pawn file (from FILE_A to FILE_D)
  45.   // bit 15-17: white pawn RANK_7 - rank (from RANK_7 - RANK_7 to RANK_7 - RANK_2)
  46.   unsigned index(Color us, Square bksq, Square wksq, Square psq) {
  47.     return wksq | (bksq << 6) | (us << 12) | (file_of(psq) << 13) | ((RANK_7 - rank_of(psq)) << 15);
  48.   }
  49.  
  50.   enum Result {
  51.     INVALID = 0,
  52.     UNKNOWN = 1,
  53.     DRAW    = 2,
  54.     WIN     = 4
  55.   };
  56.  
  57.   Result& operator|=(Result& r, Result v) { return r = Result(r | v); }
  58.  
  59.   struct KPKPosition {
  60.     KPKPosition() = default;
  61.     explicit KPKPosition(unsigned idx);
  62.     operator Result() const { return result; }
  63.     Result classify(const std::vector<KPKPosition>& db)
  64.     { return us == WHITE ? classify<WHITE>(db) : classify<BLACK>(db); }
  65.  
  66.     template<Color Us> Result classify(const std::vector<KPKPosition>& db);
  67.  
  68.     Color us;
  69.     Square ksq[COLOR_NB], psq;
  70.     Result result;
  71.   };
  72.  
  73. } // namespace
  74.  
  75.  
  76. bool Bitbases::probe(Square wksq, Square wpsq, Square bksq, Color us) {
  77.  
  78.   assert(file_of(wpsq) <= FILE_D);
  79.  
  80.   unsigned idx = index(us, bksq, wksq, wpsq);
  81.   return KPKBitbase[idx / 32] & (1 << (idx & 0x1F));
  82. }
  83.  
  84.  
  85. void Bitbases::init() {
  86.  
  87.   std::vector<KPKPosition> db(MAX_INDEX);
  88.   unsigned idx, repeat = 1;
  89.  
  90.   // Initialize db with known win / draw positions
  91.   for (idx = 0; idx < MAX_INDEX; ++idx)
  92.       db[idx] = KPKPosition(idx);
  93.  
  94.   // Iterate through the positions until none of the unknown positions can be
  95.   // changed to either wins or draws (15 cycles needed).
  96.   while (repeat)
  97.       for (repeat = idx = 0; idx < MAX_INDEX; ++idx)
  98.           repeat |= (db[idx] == UNKNOWN && db[idx].classify(db) != UNKNOWN);
  99.  
  100.   // Map 32 results into one KPKBitbase[] entry
  101.   for (idx = 0; idx < MAX_INDEX; ++idx)
  102.       if (db[idx] == WIN)
  103.           KPKBitbase[idx / 32] |= 1 << (idx & 0x1F);
  104. }
  105.  
  106.  
  107. namespace {
  108.  
  109.   KPKPosition::KPKPosition(unsigned idx) {
  110.  
  111.     ksq[WHITE] = Square((idx >>  0) & 0x3F);
  112.     ksq[BLACK] = Square((idx >>  6) & 0x3F);
  113.     us         = Color ((idx >> 12) & 0x01);
  114.     psq        = make_square(File((idx >> 13) & 0x3), Rank(RANK_7 - ((idx >> 15) & 0x7)));
  115.  
  116.     // Check if two pieces are on the same square or if a king can be captured
  117.     if (   distance(ksq[WHITE], ksq[BLACK]) <= 1
  118.         || ksq[WHITE] == psq
  119.         || ksq[BLACK] == psq
  120.         || (us == WHITE && (PawnAttacks[WHITE][psq] & ksq[BLACK])))
  121.         result = INVALID;
  122.  
  123.     // Immediate win if a pawn can be promoted without getting captured
  124.     else if (   us == WHITE
  125.              && rank_of(psq) == RANK_7
  126.              && ksq[us] != psq + NORTH
  127.              && (    distance(ksq[~us], psq + NORTH) > 1
  128.                  || (PseudoAttacks[KING][ksq[us]] & (psq + NORTH))))
  129.         result = WIN;
  130.  
  131.     // Immediate draw if it is a stalemate or a king captures undefended pawn
  132.     else if (   us == BLACK
  133.              && (  !(PseudoAttacks[KING][ksq[us]] & ~(PseudoAttacks[KING][ksq[~us]] | PawnAttacks[~us][psq]))
  134.                  || (PseudoAttacks[KING][ksq[us]] & psq & ~PseudoAttacks[KING][ksq[~us]])))
  135.         result = DRAW;
  136.  
  137.     // Position will be classified later
  138.     else
  139.         result = UNKNOWN;
  140.   }
  141.  
  142.   template<Color Us>
  143.   Result KPKPosition::classify(const std::vector<KPKPosition>& db) {
  144.  
  145.     // White to move: If one move leads to a position classified as WIN, the result
  146.     // of the current position is WIN. If all moves lead to positions classified
  147.     // as DRAW, the current position is classified as DRAW, otherwise the current
  148.     // position is classified as UNKNOWN.
  149.     //
  150.     // Black to move: If one move leads to a position classified as DRAW, the result
  151.     // of the current position is DRAW. If all moves lead to positions classified
  152.     // as WIN, the position is classified as WIN, otherwise the current position is
  153.     // classified as UNKNOWN.
  154.  
  155.     const Color  Them = (Us == WHITE ? BLACK : WHITE);
  156.     const Result Good = (Us == WHITE ? WIN   : DRAW);
  157.     const Result Bad  = (Us == WHITE ? DRAW  : WIN);
  158.  
  159.     Result r = INVALID;
  160.     Bitboard b = PseudoAttacks[KING][ksq[Us]];
  161.  
  162.     while (b)
  163.         r |= Us == WHITE ? db[index(Them, ksq[Them]  , pop_lsb(&b), psq)]
  164.                          : db[index(Them, pop_lsb(&b), ksq[Them]  , psq)];
  165.  
  166.     if (Us == WHITE)
  167.     {
  168.         if (rank_of(psq) < RANK_7)      // Single push
  169.             r |= db[index(Them, ksq[Them], ksq[Us], psq + NORTH)];
  170.  
  171.         if (   rank_of(psq) == RANK_2   // Double push
  172.             && psq + NORTH != ksq[Us]
  173.             && psq + NORTH != ksq[Them])
  174.             r |= db[index(Them, ksq[Them], ksq[Us], psq + NORTH + NORTH)];
  175.     }
  176.  
  177.     return result = r & Good  ? Good  : r & UNKNOWN ? UNKNOWN : Bad;
  178.   }
  179.  
  180. } // namespace
  181.