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| /* | |
| Stockfish, a UCI chess playing engine derived from Glaurung 2.1 | |
| Copyright (C) 2004-2026 The Stockfish developers (see AUTHORS file) | |
| 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 <http://www.gnu.org/licenses/>. | |
| */ | |
| namespace Stockfish { | |
| namespace Bitboards { | |
| void init(); | |
| std::string pretty(Bitboard b); | |
| } // namespace Stockfish::Bitboards | |
| constexpr Bitboard FileABB = 0x0101010101010101ULL; | |
| constexpr Bitboard FileBBB = FileABB << 1; | |
| constexpr Bitboard FileCBB = FileABB << 2; | |
| constexpr Bitboard FileDBB = FileABB << 3; | |
| constexpr Bitboard FileEBB = FileABB << 4; | |
| constexpr Bitboard FileFBB = FileABB << 5; | |
| constexpr Bitboard FileGBB = FileABB << 6; | |
| constexpr Bitboard FileHBB = FileABB << 7; | |
| constexpr Bitboard Rank1BB = 0xFF; | |
| constexpr Bitboard Rank2BB = Rank1BB << (8 * 1); | |
| constexpr Bitboard Rank3BB = Rank1BB << (8 * 2); | |
| constexpr Bitboard Rank4BB = Rank1BB << (8 * 3); | |
| constexpr Bitboard Rank5BB = Rank1BB << (8 * 4); | |
| constexpr Bitboard Rank6BB = Rank1BB << (8 * 5); | |
| constexpr Bitboard Rank7BB = Rank1BB << (8 * 6); | |
| constexpr Bitboard Rank8BB = Rank1BB << (8 * 7); | |
| extern uint8_t PopCnt16[1 << 16]; | |
| extern uint8_t SquareDistance[SQUARE_NB][SQUARE_NB]; | |
| extern Bitboard BetweenBB[SQUARE_NB][SQUARE_NB]; | |
| extern Bitboard LineBB[SQUARE_NB][SQUARE_NB]; | |
| extern Bitboard RayPassBB[SQUARE_NB][SQUARE_NB]; | |
| // Magic holds all magic bitboards relevant data for a single square | |
| struct Magic { | |
| Bitboard mask; | |
| Bitboard* attacks; | |
| Bitboard magic; | |
| unsigned shift; | |
| // Compute the attack's index using the 'magic bitboards' approach | |
| unsigned index(Bitboard occupied) const { | |
| return unsigned(pext(occupied, mask)); | |
| if (Is64Bit) | |
| return unsigned(((occupied & mask) * magic) >> shift); | |
| unsigned lo = unsigned(occupied) & unsigned(mask); | |
| unsigned hi = unsigned(occupied >> 32) & unsigned(mask >> 32); | |
| return (lo * unsigned(magic) ^ hi * unsigned(magic >> 32)) >> shift; | |
| } | |
| Bitboard attacks_bb(Bitboard occupied) const { return attacks[index(occupied)]; } | |
| }; | |
| extern Magic Magics[SQUARE_NB][2]; | |
| constexpr Bitboard square_bb(Square s) { | |
| assert(is_ok(s)); | |
| return 1ULL << s; | |
| } | |
| // Overloads of bitwise operators between a Bitboard and a Square for testing | |
| // whether a given bit is set in a bitboard, and for setting and clearing bits. | |
| constexpr Bitboard operator&(Bitboard b, Square s) { return b & square_bb(s); } | |
| constexpr Bitboard operator|(Bitboard b, Square s) { return b | square_bb(s); } | |
| constexpr Bitboard operator^(Bitboard b, Square s) { return b ^ square_bb(s); } | |
| constexpr Bitboard& operator|=(Bitboard& b, Square s) { return b |= square_bb(s); } | |
| constexpr Bitboard& operator^=(Bitboard& b, Square s) { return b ^= square_bb(s); } | |
| constexpr Bitboard operator&(Square s, Bitboard b) { return b & s; } | |
| constexpr Bitboard operator|(Square s, Bitboard b) { return b | s; } | |
| constexpr Bitboard operator^(Square s, Bitboard b) { return b ^ s; } | |
| constexpr Bitboard operator|(Square s1, Square s2) { return square_bb(s1) | s2; } | |
| constexpr bool more_than_one(Bitboard b) { return b & (b - 1); } | |
| // rank_bb() and file_bb() return a bitboard representing all the squares on | |
| // the given file or rank. | |
| constexpr Bitboard rank_bb(Rank r) { return Rank1BB << (8 * r); } | |
| constexpr Bitboard rank_bb(Square s) { return rank_bb(rank_of(s)); } | |
| constexpr Bitboard file_bb(File f) { return FileABB << f; } | |
| constexpr Bitboard file_bb(Square s) { return file_bb(file_of(s)); } | |
| // Moves a bitboard one or two steps as specified by the direction D | |
| template<Direction D> | |
| constexpr Bitboard shift(Bitboard b) { | |
| return D == NORTH ? b << 8 | |
| : D == SOUTH ? b >> 8 | |
| : D == NORTH + NORTH ? b << 16 | |
| : D == SOUTH + SOUTH ? b >> 16 | |
| : D == EAST ? (b & ~FileHBB) << 1 | |
| : D == WEST ? (b & ~FileABB) >> 1 | |
| : D == NORTH_EAST ? (b & ~FileHBB) << 9 | |
| : D == NORTH_WEST ? (b & ~FileABB) << 7 | |
| : D == SOUTH_EAST ? (b & ~FileHBB) >> 7 | |
| : D == SOUTH_WEST ? (b & ~FileABB) >> 9 | |
| : 0; | |
| } | |
| // Returns the squares attacked by pawns of the given color | |
| // from the squares in the given bitboard. | |
| template<Color C> | |
| constexpr Bitboard pawn_attacks_bb(Bitboard b) { | |
| return C == WHITE ? shift<NORTH_WEST>(b) | shift<NORTH_EAST>(b) | |
| : shift<SOUTH_WEST>(b) | shift<SOUTH_EAST>(b); | |
| } | |
| // Returns a bitboard representing an entire line (from board edge | |
| // to board edge) that intersects the two given squares. If the given squares | |
| // are not on a same file/rank/diagonal, the function returns 0. For instance, | |
| // line_bb(SQ_C4, SQ_F7) will return a bitboard with the A2-G8 diagonal. | |
| inline Bitboard line_bb(Square s1, Square s2) { | |
| assert(is_ok(s1) && is_ok(s2)); | |
| return LineBB[s1][s2]; | |
| } | |
| // Returns a bitboard representing the squares in the semi-open | |
| // segment between the squares s1 and s2 (excluding s1 but including s2). If the | |
| // given squares are not on a same file/rank/diagonal, it returns s2. For instance, | |
| // between_bb(SQ_C4, SQ_F7) will return a bitboard with squares D5, E6 and F7, but | |
| // between_bb(SQ_E6, SQ_F8) will return a bitboard with the square F8. This trick | |
| // allows to generate non-king evasion moves faster: the defending piece must either | |
| // interpose itself to cover the check or capture the checking piece. | |
| inline Bitboard between_bb(Square s1, Square s2) { | |
| assert(is_ok(s1) && is_ok(s2)); | |
| return BetweenBB[s1][s2]; | |
| } | |
| // distance() functions return the distance between x and y, defined as the | |
| // number of steps for a king in x to reach y. | |
| template<typename T1 = Square> | |
| inline int distance(Square x, Square y); | |
| template<> | |
| inline int distance<File>(Square x, Square y) { | |
| return std::abs(file_of(x) - file_of(y)); | |
| } | |
| template<> | |
| inline int distance<Rank>(Square x, Square y) { | |
| return std::abs(rank_of(x) - rank_of(y)); | |
| } | |
| template<> | |
| inline int distance<Square>(Square x, Square y) { | |
| return SquareDistance[x][y]; | |
| } | |
| inline int edge_distance(File f) { return std::min(f, File(FILE_H - f)); } | |
| constexpr int constexpr_popcount(Bitboard b) { | |
| b = b - ((b >> 1) & 0x5555555555555555ULL); | |
| b = (b & 0x3333333333333333ULL) + ((b >> 2) & 0x3333333333333333ULL); | |
| b = (b + (b >> 4)) & 0x0F0F0F0F0F0F0F0FULL; | |
| return static_cast<int>((b * 0x0101010101010101ULL) >> 56); | |
| } | |
| // Counts the number of non-zero bits in a bitboard. | |
| inline int popcount(Bitboard b) { | |
| std::uint16_t indices[4]; | |
| std::memcpy(indices, &b, sizeof(b)); | |
| return PopCnt16[indices[0]] + PopCnt16[indices[1]] + PopCnt16[indices[2]] | |
| + PopCnt16[indices[3]]; | |
| return int(_mm_popcnt_u64(b)); | |
| return __builtin_popcountll(b); | |
| } | |
| // Returns the least significant bit in a non-zero bitboard. | |
| inline Square lsb(Bitboard b) { | |
| assert(b); | |
| return Square(__builtin_ctzll(b)); | |
| unsigned long idx; | |
| _BitScanForward64(&idx, b); | |
| return Square(idx); | |
| unsigned long idx; | |
| if (b & 0xffffffff) | |
| { | |
| _BitScanForward(&idx, int32_t(b)); | |
| return Square(idx); | |
| } | |
| else | |
| { | |
| _BitScanForward(&idx, int32_t(b >> 32)); | |
| return Square(idx + 32); | |
| } | |
| } | |
| // Returns the most significant bit in a non-zero bitboard. | |
| inline Square msb(Bitboard b) { | |
| assert(b); | |
| return Square(63 ^ __builtin_clzll(b)); | |
| unsigned long idx; | |
| _BitScanReverse64(&idx, b); | |
| return Square(idx); | |
| unsigned long idx; | |
| if (b >> 32) | |
| { | |
| _BitScanReverse(&idx, int32_t(b >> 32)); | |
| return Square(idx + 32); | |
| } | |
| else | |
| { | |
| _BitScanReverse(&idx, int32_t(b)); | |
| return Square(idx); | |
| } | |
| } | |
| // Returns the bitboard of the least significant | |
| // square of a non-zero bitboard. It is equivalent to square_bb(lsb(bb)). | |
| inline Bitboard least_significant_square_bb(Bitboard b) { | |
| assert(b); | |
| return b & -b; | |
| } | |
| // Finds and clears the least significant bit in a non-zero bitboard. | |
| inline Square pop_lsb(Bitboard& b) { | |
| assert(b); | |
| const Square s = lsb(b); | |
| b &= b - 1; | |
| return s; | |
| } | |
| namespace Bitboards { | |
| // Returns the bitboard of target square for the given step | |
| // from the given square. If the step is off the board, returns empty bitboard. | |
| constexpr Bitboard safe_destination(Square s, int step) { | |
| constexpr auto abs = [](int v) { return v < 0 ? -v : v; }; | |
| Square to = Square(s + step); | |
| return is_ok(to) && abs(file_of(s) - file_of(to)) <= 2 ? square_bb(to) : Bitboard(0); | |
| } | |
| constexpr Bitboard sliding_attack(PieceType pt, Square sq, Bitboard occupied) { | |
| Bitboard attacks = 0; | |
| Direction RookDirections[4] = {NORTH, SOUTH, EAST, WEST}; | |
| Direction BishopDirections[4] = {NORTH_EAST, SOUTH_EAST, SOUTH_WEST, NORTH_WEST}; | |
| for (Direction d : (pt == ROOK ? RookDirections : BishopDirections)) | |
| { | |
| Square s = sq; | |
| while (safe_destination(s, d)) | |
| { | |
| attacks |= (s += d); | |
| if (occupied & s) | |
| { | |
| break; | |
| } | |
| } | |
| } | |
| return attacks; | |
| } | |
| constexpr Bitboard knight_attack(Square sq) { | |
| Bitboard b = {}; | |
| for (int step : {-17, -15, -10, -6, 6, 10, 15, 17}) | |
| b |= safe_destination(sq, step); | |
| return b; | |
| } | |
| constexpr Bitboard king_attack(Square sq) { | |
| Bitboard b = {}; | |
| for (int step : {-9, -8, -7, -1, 1, 7, 8, 9}) | |
| b |= safe_destination(sq, step); | |
| return b; | |
| } | |
| constexpr Bitboard pseudo_attacks(PieceType pt, Square sq) { | |
| switch (pt) | |
| { | |
| case PieceType::ROOK : | |
| case PieceType::BISHOP : | |
| return sliding_attack(pt, sq, 0); | |
| case PieceType::QUEEN : | |
| return sliding_attack(PieceType::ROOK, sq, 0) | sliding_attack(PieceType::BISHOP, sq, 0); | |
| case PieceType::KNIGHT : | |
| return knight_attack(sq); | |
| case PieceType::KING : | |
| return king_attack(sq); | |
| default : | |
| assert(false); | |
| return 0; | |
| } | |
| } | |
| } | |
| inline constexpr auto PseudoAttacks = []() constexpr { | |
| std::array<std::array<Bitboard, SQUARE_NB>, PIECE_TYPE_NB> attacks{}; | |
| for (Square s1 = SQ_A1; s1 <= SQ_H8; ++s1) | |
| { | |
| attacks[WHITE][s1] = pawn_attacks_bb<WHITE>(square_bb(s1)); | |
| attacks[BLACK][s1] = pawn_attacks_bb<BLACK>(square_bb(s1)); | |
| attacks[KING][s1] = Bitboards::pseudo_attacks(KING, s1); | |
| attacks[KNIGHT][s1] = Bitboards::pseudo_attacks(KNIGHT, s1); | |
| attacks[QUEEN][s1] = attacks[BISHOP][s1] = Bitboards::pseudo_attacks(BISHOP, s1); | |
| attacks[QUEEN][s1] |= attacks[ROOK][s1] = Bitboards::pseudo_attacks(ROOK, s1); | |
| } | |
| return attacks; | |
| }(); | |
| // Returns the pseudo attacks of the given piece type | |
| // assuming an empty board. | |
| template<PieceType Pt> | |
| inline Bitboard attacks_bb(Square s, Color c = COLOR_NB) { | |
| assert((Pt != PAWN || c < COLOR_NB) && is_ok(s)); | |
| return Pt == PAWN ? PseudoAttacks[c][s] : PseudoAttacks[Pt][s]; | |
| } | |
| // Returns the attacks by the given piece | |
| // assuming the board is occupied according to the passed Bitboard. | |
| // Sliding piece attacks do not continue passed an occupied square. | |
| template<PieceType Pt> | |
| inline Bitboard attacks_bb(Square s, Bitboard occupied) { | |
| assert(Pt != PAWN && is_ok(s)); | |
| switch (Pt) | |
| { | |
| case BISHOP : | |
| case ROOK : | |
| return Magics[s][Pt - BISHOP].attacks_bb(occupied); | |
| case QUEEN : | |
| return attacks_bb<BISHOP>(s, occupied) | attacks_bb<ROOK>(s, occupied); | |
| default : | |
| return PseudoAttacks[Pt][s]; | |
| } | |
| } | |
| // Returns the attacks by the given piece | |
| // assuming the board is occupied according to the passed Bitboard. | |
| // Sliding piece attacks do not continue passed an occupied square. | |
| inline Bitboard attacks_bb(PieceType pt, Square s, Bitboard occupied) { | |
| assert(pt != PAWN && is_ok(s)); | |
| switch (pt) | |
| { | |
| case BISHOP : | |
| return attacks_bb<BISHOP>(s, occupied); | |
| case ROOK : | |
| return attacks_bb<ROOK>(s, occupied); | |
| case QUEEN : | |
| return attacks_bb<BISHOP>(s, occupied) | attacks_bb<ROOK>(s, occupied); | |
| default : | |
| return PseudoAttacks[pt][s]; | |
| } | |
| } | |
| inline Bitboard attacks_bb(Piece pc, Square s, Bitboard occupied) { | |
| return type_of(pc) == PAWN ? PseudoAttacks[color_of(pc)][s] | |
| : attacks_bb(type_of(pc), s, occupied); | |
| } | |
| } // namespace Stockfish | |