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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/>.
*/
#ifndef BITBOARD_H_INCLUDED
#define BITBOARD_H_INCLUDED
#include <algorithm>
#include <cassert>
#include <cmath>
#include <cstring>
#include <cstdint>
#include <cstdlib>
#include <string>
#include <initializer_list>
#include <array>
#include "types.h"
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;
#ifndef USE_PEXT
Bitboard magic;
unsigned shift;
#endif
// Compute the attack's index using the 'magic bitboards' approach
unsigned index(Bitboard occupied) const {
#ifdef USE_PEXT
return unsigned(pext(occupied, mask));
#else
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;
#endif
}
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) {
#ifndef USE_POPCNT
std::uint16_t indices[4];
std::memcpy(indices, &b, sizeof(b));
return PopCnt16[indices[0]] + PopCnt16[indices[1]] + PopCnt16[indices[2]]
+ PopCnt16[indices[3]];
#elif defined(_MSC_VER)
return int(_mm_popcnt_u64(b));
#else // Assumed gcc or compatible compiler
return __builtin_popcountll(b);
#endif
}
// Returns the least significant bit in a non-zero bitboard.
inline Square lsb(Bitboard b) {
assert(b);
#if defined(__GNUC__) // GCC, Clang, ICX
return Square(__builtin_ctzll(b));
#elif defined(_MSC_VER)
#ifdef _WIN64 // MSVC, WIN64
unsigned long idx;
_BitScanForward64(&idx, b);
return Square(idx);
#else // MSVC, WIN32
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);
}
#endif
#else // Compiler is neither GCC nor MSVC compatible
#error "Compiler not supported."
#endif
}
// Returns the most significant bit in a non-zero bitboard.
inline Square msb(Bitboard b) {
assert(b);
#if defined(__GNUC__) // GCC, Clang, ICX
return Square(63 ^ __builtin_clzll(b));
#elif defined(_MSC_VER)
#ifdef _WIN64 // MSVC, WIN64
unsigned long idx;
_BitScanReverse64(&idx, b);
return Square(idx);
#else // MSVC, WIN32
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);
}
#endif
#else // Compiler is neither GCC nor MSVC compatible
#error "Compiler not supported."
#endif
}
// 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
#endif // #ifndef BITBOARD_H_INCLUDED
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