/* Stockfish, a UCI chess playing engine derived from Glaurung 2.1 Copyright (C) 2004-2008 Tord Romstad (Glaurung author) Copyright (C) 2008-2012 Marco Costalba, Joona Kiiski, Tord Romstad Stockfish is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. Stockfish is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program. If not, see . */ #include #include "bitboard.h" #include "types.h" namespace { enum Result { INVALID = 0, UNKNOWN = 1, DRAW = 2, WIN = 4 }; inline Result& operator|=(Result& r, Result v) { return r = Result(r | v); } struct KPKPosition { Result classify_leaf(int idx); Result classify(int idx, Result db[]); private: template Result classify(const Result db[]) const; template Bitboard k_attacks() const { return Us == WHITE ? StepAttacksBB[W_KING][wksq] : StepAttacksBB[B_KING][bksq]; } Bitboard p_attacks() const { return StepAttacksBB[W_PAWN][psq]; } void decode_index(int idx); Square wksq, bksq, psq; Color stm; }; // The possible pawns squares are 24, the first 4 files and ranks from 2 to 7 const int IndexMax = 2 * 24 * 64 * 64; // stm * wp_sq * wk_sq * bk_sq = 196608 // Each uint32_t stores results of 32 positions, one per bit uint32_t KPKBitbase[IndexMax / 32]; int index(Square wksq, Square bksq, Square psq, Color stm); } uint32_t Bitbases::probe_kpk(Square wksq, Square wpsq, Square bksq, Color stm) { int idx = index(wksq, bksq, wpsq, stm); return KPKBitbase[idx / 32] & (1 << (idx & 31)); } void Bitbases::init_kpk() { Result db[IndexMax]; KPKPosition pos; int idx, bit, repeat = 1; // Initialize table with known win / draw positions for (idx = 0; idx < IndexMax; idx++) db[idx] = pos.classify_leaf(idx); // Iterate until all positions are classified (30 cycles needed) while (repeat) for (repeat = idx = 0; idx < IndexMax; idx++) if (db[idx] == UNKNOWN && (db[idx] = pos.classify(idx, db)) != UNKNOWN) repeat = 1; // Map 32 position results into one KPKBitbase[] entry for (idx = 0; idx < IndexMax / 32; idx++) for (bit = 0; bit < 32; bit++) if (db[32 * idx + bit] == WIN) KPKBitbase[idx] |= 1 << bit; } namespace { // A KPK bitbase index is an integer in [0, IndexMax] range // // Information is mapped in this way // // bit 0: side to move (WHITE or BLACK) // bit 1- 6: black king square (from SQ_A1 to SQ_H8) // bit 7-12: white king square (from SQ_A1 to SQ_H8) // bit 13-14: white pawn file (from FILE_A to FILE_D) // bit 15-17: white pawn rank - 1 (from RANK_2 - 1 to RANK_7 - 1) int index(Square w, Square b, Square p, Color c) { assert(file_of(p) <= FILE_D); return c + (b << 1) + (w << 7) + (file_of(p) << 13) + ((rank_of(p) - 1) << 15); } void KPKPosition::decode_index(int idx) { stm = Color(idx & 1); bksq = Square((idx >> 1) & 63); wksq = Square((idx >> 7) & 63); psq = File((idx >> 13) & 3) | Rank((idx >> 15) + 1); } Result KPKPosition::classify_leaf(int idx) { decode_index(idx); // Check if two pieces are on the same square or if a king can be captured if ( wksq == psq || wksq == bksq || bksq == psq || (k_attacks() & bksq) || (stm == WHITE && (p_attacks() & bksq))) return INVALID; // The position is an immediate win if it is white to move and the white // pawn can be promoted without getting captured. if ( rank_of(psq) == RANK_7 && stm == WHITE && wksq != psq + DELTA_N && ( square_distance(bksq, psq + DELTA_N) > 1 ||(k_attacks() & (psq + DELTA_N)))) return WIN; // Check for known draw positions // // Case 1: Stalemate if ( stm == BLACK && !(k_attacks() & ~(k_attacks() | p_attacks()))) return DRAW; // Case 2: King can capture undefended pawn if ( stm == BLACK && (k_attacks() & psq & ~k_attacks())) return DRAW; // Case 3: Black king in front of white pawn if ( bksq == psq + DELTA_N && rank_of(psq) < RANK_7) return DRAW; // Case 4: White king in front of pawn and black has opposition if ( stm == WHITE && wksq == psq + DELTA_N && bksq == wksq + DELTA_N + DELTA_N && rank_of(psq) < RANK_5) return DRAW; // Case 5: Stalemate with rook pawn if ( bksq == SQ_A8 && file_of(psq) == FILE_A) return DRAW; // Case 6: White king trapped on the rook file if ( file_of(wksq) == FILE_A && file_of(psq) == FILE_A && rank_of(wksq) > rank_of(psq) && bksq == wksq + 2) return DRAW; return UNKNOWN; } template Result KPKPosition::classify(const Result db[]) const { // White to Move: If one move leads to a position classified as RESULT_WIN, // the result of the current position is RESULT_WIN. If all moves lead to // positions classified as RESULT_DRAW, the current position is classified // RESULT_DRAW otherwise the current position is classified as RESULT_UNKNOWN. // // Black to Move: If one move leads to a position classified as RESULT_DRAW, // the result of the current position is RESULT_DRAW. If all moves lead to // positions classified as RESULT_WIN, the position is classified RESULT_WIN. // Otherwise, the current position is classified as RESULT_UNKNOWN. Result r = INVALID; Bitboard b = k_attacks(); while (b) { r |= Us == WHITE ? db[index(pop_lsb(&b), bksq, psq, BLACK)] : db[index(wksq, pop_lsb(&b), psq, WHITE)]; if (Us == WHITE && (r & WIN)) return WIN; if (Us == BLACK && (r & DRAW)) return DRAW; } if (Us == WHITE && rank_of(psq) < RANK_7) { Square s = psq + DELTA_N; r |= db[index(wksq, bksq, s, BLACK)]; // Single push if (rank_of(s) == RANK_3 && s != wksq && s != bksq) r |= db[index(wksq, bksq, s + DELTA_N, BLACK)]; // Double push if (r & WIN) return WIN; } return r & UNKNOWN ? UNKNOWN : Us == WHITE ? DRAW : WIN; } Result KPKPosition::classify(int idx, Result db[]) { decode_index(idx); return stm == WHITE ? classify(db) : classify(db); } }