/* Stockfish, a UCI chess playing engine derived from Glaurung 2.1 Copyright (C) 2004-2008 Tord Romstad (Glaurung author) Copyright (C) 2008-2010 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 "bitcount.h" #if defined(IS_64BIT) static const uint64_t DeBruijnMagic = 0x218A392CD3D5DBFULL; const uint64_t BMult[64] = { 0x0440049104032280ULL, 0x1021023C82008040ULL, 0x0404040082000048ULL, 0x48C4440084048090ULL, 0x2801104026490000ULL, 0x4100880442040800ULL, 0x0181011002E06040ULL, 0x9101004104200E00ULL, 0x1240848848310401ULL, 0x2000142828050024ULL, 0x00001004024D5000ULL, 0x0102044400800200ULL, 0x8108108820112000ULL, 0xA880818210C00046ULL, 0x4008008801082000ULL, 0x0060882404049400ULL, 0x0104402004240810ULL, 0x000A002084250200ULL, 0x00100B0880801100ULL, 0x0004080201220101ULL, 0x0044008080A00000ULL, 0x0000202200842000ULL, 0x5006004882D00808ULL, 0x0000200045080802ULL, 0x0086100020200601ULL, 0xA802080A20112C02ULL, 0x0080411218080900ULL, 0x000200A0880080A0ULL, 0x9A01010000104000ULL, 0x0028008003100080ULL, 0x0211021004480417ULL, 0x0401004188220806ULL, 0x00825051400C2006ULL, 0x00140C0210943000ULL, 0x0000242800300080ULL, 0x00C2208120080200ULL, 0x2430008200002200ULL, 0x1010100112008040ULL, 0x8141050100020842ULL, 0x0000822081014405ULL, 0x800C049E40400804ULL, 0x4A0404028A000820ULL, 0x0022060201041200ULL, 0x0360904200840801ULL, 0x0881A08208800400ULL, 0x0060202C00400420ULL, 0x1204440086061400ULL, 0x0008184042804040ULL, 0x0064040315300400ULL, 0x0C01008801090A00ULL, 0x0808010401140C00ULL, 0x04004830C2020040ULL, 0x0080005002020054ULL, 0x40000C14481A0490ULL, 0x0010500101042048ULL, 0x1010100200424000ULL, 0x0000640901901040ULL, 0x00000A0201014840ULL, 0x00840082AA011002ULL, 0x010010840084240AULL, 0x0420400810420608ULL, 0x8D40230408102100ULL, 0x4A00200612222409ULL, 0x0A08520292120600ULL }; const uint64_t RMult[64] = { 0x0A8002C000108020ULL, 0x4440200140003000ULL, 0x8080200010011880ULL, 0x0380180080141000ULL, 0x1A00060008211044ULL, 0x410001000A0C0008ULL, 0x9500060004008100ULL, 0x0100024284A20700ULL, 0x0000802140008000ULL, 0x0080C01002A00840ULL, 0x0402004282011020ULL, 0x9862000820420050ULL, 0x0001001448011100ULL, 0x6432800200800400ULL, 0x040100010002000CULL, 0x0002800D0010C080ULL, 0x90C0008000803042ULL, 0x4010004000200041ULL, 0x0003010010200040ULL, 0x0A40828028001000ULL, 0x0123010008000430ULL, 0x0024008004020080ULL, 0x0060040001104802ULL, 0x00582200028400D1ULL, 0x4000802080044000ULL, 0x0408208200420308ULL, 0x0610038080102000ULL, 0x3601000900100020ULL, 0x0000080080040180ULL, 0x00C2020080040080ULL, 0x0080084400100102ULL, 0x4022408200014401ULL, 0x0040052040800082ULL, 0x0B08200280804000ULL, 0x008A80A008801000ULL, 0x4000480080801000ULL, 0x0911808800801401ULL, 0x822A003002001894ULL, 0x401068091400108AULL, 0x000004A10A00004CULL, 0x2000800640008024ULL, 0x1486408102020020ULL, 0x000100A000D50041ULL, 0x00810050020B0020ULL, 0x0204000800808004ULL, 0x00020048100A000CULL, 0x0112000831020004ULL, 0x0009000040810002ULL, 0x0440490200208200ULL, 0x8910401000200040ULL, 0x6404200050008480ULL, 0x4B824A2010010100ULL, 0x04080801810C0080ULL, 0x00000400802A0080ULL, 0x8224080110026400ULL, 0x40002C4104088200ULL, 0x01002100104A0282ULL, 0x1208400811048021ULL, 0x3201014A40D02001ULL, 0x0005100019200501ULL, 0x0101000208001005ULL, 0x0002008450080702ULL, 0x001002080301D00CULL, 0x410201CE5C030092ULL }; const int BShift[64] = { 58, 59, 59, 59, 59, 59, 59, 58, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 57, 57, 57, 57, 59, 59, 59, 59, 57, 55, 55, 57, 59, 59, 59, 59, 57, 55, 55, 57, 59, 59, 59, 59, 57, 57, 57, 57, 59, 59, 59, 59, 59, 59, 59, 59, 59, 59, 58, 59, 59, 59, 59, 59, 59, 58 }; const int RShift[64] = { 52, 53, 53, 53, 53, 53, 53, 52, 53, 54, 54, 54, 54, 54, 54, 53, 53, 54, 54, 54, 54, 54, 54, 53, 53, 54, 54, 54, 54, 54, 54, 53, 53, 54, 54, 54, 54, 54, 54, 53, 53, 54, 54, 54, 54, 54, 54, 53, 53, 54, 54, 54, 54, 54, 54, 53, 52, 53, 53, 53, 53, 53, 53, 52 }; #else // if !defined(IS_64BIT) static const uint32_t DeBruijnMagic = 0x783A9B23; const uint64_t BMult[64] = { 0x54142844C6A22981ULL, 0x710358A6EA25C19EULL, 0x704F746D63A4A8DCULL, 0xBFED1A0B80F838C5ULL, 0x90561D5631E62110ULL, 0x2804260376E60944ULL, 0x84A656409AA76871ULL, 0xF0267F64C28B6197ULL, 0x70764EBB762F0585ULL, 0x92AA09E0CFE161DEULL, 0x41EE1F6BB266F60EULL, 0xDDCBF04F6039C444ULL, 0x5A3FAB7BAC0D988AULL, 0xD3727877FA4EAA03ULL, 0xD988402D868DDAAEULL, 0x812B291AFA075C7CULL, 0x94FAF987B685A932ULL, 0x3ED867D8470D08DBULL, 0x92517660B8901DE8ULL, 0x2D97E43E058814B4ULL, 0x880A10C220B25582ULL, 0xC7C6520D1F1A0477ULL, 0xDBFC7FBCD7656AA6ULL, 0x78B1B9BFB1A2B84FULL, 0x2F20037F112A0BC1ULL, 0x657171EA2269A916ULL, 0xC08302B07142210EULL, 0x0880A4403064080BULL, 0x3602420842208C00ULL, 0x852800DC7E0B6602ULL, 0x595A3FBBAA0F03B2ULL, 0x9F01411558159D5EULL, 0x2B4A4A5F88B394F2ULL, 0x4AFCBFFC292DD03AULL, 0x4A4094A3B3F10522ULL, 0xB06F00B491F30048ULL, 0xD5B3820280D77004ULL, 0x8B2E01E7C8E57A75ULL, 0x2D342794E886C2E6ULL, 0xC302C410CDE21461ULL, 0x111F426F1379C274ULL, 0xE0569220ABB31588ULL, 0x5026D3064D453324ULL, 0xE2076040C343CD8AULL, 0x93EFD1E1738021EEULL, 0xB680804BED143132ULL, 0x44E361B21986944CULL, 0x44C60170EF5C598CULL, 0xF4DA475C195C9C94ULL, 0xA3AFBB5F72060B1DULL, 0xBC75F410E41C4FFCULL, 0xB51C099390520922ULL, 0x902C011F8F8EC368ULL, 0x950B56B3D6F5490AULL, 0x3909E0635BF202D0ULL, 0x5744F90206EC10CCULL, 0xDC59FD76317ABBC1ULL, 0x881C7C67FCBFC4F6ULL, 0x47CA41E7E440D423ULL, 0xEB0C88112048D004ULL, 0x51C60E04359AEF1AULL, 0x1AA1FE0E957A5554ULL, 0xDD9448DB4F5E3104ULL, 0xDC01F6DCA4BEBBDCULL, }; const uint64_t RMult[64] = { 0xD7445CDEC88002C0ULL, 0xD0A505C1F2001722ULL, 0xE065D1C896002182ULL, 0x9A8C41E75A000892ULL, 0x8900B10C89002AA8ULL, 0x9B28D1C1D60005A2ULL, 0x015D6C88DE002D9AULL, 0xB1DBFC802E8016A9ULL, 0x149A1042D9D60029ULL, 0xB9C08050599E002FULL, 0x132208C3AF300403ULL, 0xC1000CE2E9C50070ULL, 0x9D9AA13C99020012ULL, 0xB6B078DAF71E0046ULL, 0x9D880182FB6E002EULL, 0x52889F467E850037ULL, 0xDA6DC008D19A8480ULL, 0x468286034F902420ULL, 0x7140AC09DC54C020ULL, 0xD76FFFFA39548808ULL, 0xEA901C4141500808ULL, 0xC91004093F953A02ULL, 0x02882AFA8F6BB402ULL, 0xAEBE335692442C01ULL, 0x0E904A22079FB91EULL, 0x13A514851055F606ULL, 0x76C782018C8FE632ULL, 0x1DC012A9D116DA06ULL, 0x3C9E0037264FFFA6ULL, 0x2036002853C6E4A2ULL, 0xE3FE08500AFB47D4ULL, 0xF38AF25C86B025C2ULL, 0xC0800E2182CF9A40ULL, 0x72002480D1F60673ULL, 0x2500200BAE6E9B53ULL, 0xC60018C1EEFCA252ULL, 0x0600590473E3608AULL, 0x46002C4AB3FE51B2ULL, 0xA200011486BCC8D2ULL, 0xB680078095784C63ULL, 0x2742002639BF11AEULL, 0xC7D60021A5BDB142ULL, 0xC8C04016BB83D820ULL, 0xBD520028123B4842ULL, 0x9D1600344AC2A832ULL, 0x6A808005631C8A05ULL, 0x604600A148D5389AULL, 0xE2E40103D40DEA65ULL, 0x945B5A0087C62A81ULL, 0x012DC200CD82D28EULL, 0x2431C600B5F9EF76ULL, 0xFB142A006A9B314AULL, 0x06870E00A1C97D62ULL, 0x2A9DB2004A2689A2ULL, 0xD3594600CAF5D1A2ULL, 0xEE0E4900439344A7ULL, 0x89C4D266CA25007AULL, 0x3E0013A2743F97E3ULL, 0x0180E31A0431378AULL, 0x3A9E465A4D42A512ULL, 0x98D0A11A0C0D9CC2ULL, 0x8E711C1ABA19B01EULL, 0x8DCDC836DD201142ULL, 0x5AC08A4735370479ULL, }; const int BShift[64] = { 26, 27, 27, 27, 27, 27, 27, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 25, 25, 25, 25, 27, 27, 27, 27, 25, 23, 23, 25, 27, 27, 27, 27, 25, 23, 23, 25, 27, 27, 27, 27, 25, 25, 25, 25, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 26, 27, 27, 27, 27, 27, 27, 26 }; const int RShift[64] = { 20, 21, 21, 21, 21, 21, 21, 20, 21, 22, 22, 22, 22, 22, 22, 21, 21, 22, 22, 22, 22, 22, 22, 21, 21, 22, 22, 22, 22, 22, 22, 21, 21, 22, 22, 22, 22, 22, 22, 21, 21, 22, 22, 22, 22, 22, 22, 21, 21, 22, 22, 22, 22, 22, 22, 21, 20, 21, 21, 21, 21, 21, 21, 20 }; #endif // defined(IS_64BIT) // Global bitboards definitions with static storage duration are // automatically set to zero before enter main(). Bitboard RMask[64]; int RAttackIndex[64]; Bitboard RAttacks[0x19000]; Bitboard BMask[64]; int BAttackIndex[64]; Bitboard BAttacks[0x1480]; Bitboard SetMaskBB[65]; Bitboard ClearMaskBB[65]; Bitboard SquaresByColorBB[2]; Bitboard FileBB[8]; Bitboard RankBB[8]; Bitboard NeighboringFilesBB[8]; Bitboard ThisAndNeighboringFilesBB[8]; Bitboard InFrontBB[2][8]; Bitboard StepAttacksBB[16][64]; Bitboard BetweenBB[64][64]; Bitboard SquaresInFrontMask[2][64]; Bitboard PassedPawnMask[2][64]; Bitboard AttackSpanMask[2][64]; Bitboard BishopPseudoAttacks[64]; Bitboard RookPseudoAttacks[64]; Bitboard QueenPseudoAttacks[64]; uint8_t BitCount8Bit[256]; namespace { CACHE_LINE_ALIGNMENT int BSFTable[64]; void init_sliding_attacks(Bitboard attacks[], int attackIndex[], Bitboard mask[], const int shift[], const Bitboard mult[], int deltas[][2]); } /// print_bitboard() prints a bitboard in an easily readable format to the /// standard output. This is sometimes useful for debugging. void print_bitboard(Bitboard b) { for (Rank r = RANK_8; r >= RANK_1; r--) { std::cout << "+---+---+---+---+---+---+---+---+" << '\n'; for (File f = FILE_A; f <= FILE_H; f++) std::cout << "| " << (bit_is_set(b, make_square(f, r)) ? 'X' : ' ') << ' '; std::cout << "|\n"; } std::cout << "+---+---+---+---+---+---+---+---+" << std::endl; } /// first_1() finds the least significant nonzero bit in a nonzero bitboard. /// pop_1st_bit() finds and clears the least significant nonzero bit in a /// nonzero bitboard. #if defined(IS_64BIT) && !defined(USE_BSFQ) Square first_1(Bitboard b) { return Square(BSFTable[((b & -b) * DeBruijnMagic) >> 58]); } Square pop_1st_bit(Bitboard* b) { Bitboard bb = *b; *b &= (*b - 1); return Square(BSFTable[((bb & -bb) * DeBruijnMagic) >> 58]); } #elif !defined(USE_BSFQ) Square first_1(Bitboard b) { b ^= (b - 1); uint32_t fold = unsigned(b) ^ unsigned(b >> 32); return Square(BSFTable[(fold * DeBruijnMagic) >> 26]); } // Use type-punning union b_union { Bitboard b; struct { #if defined (BIGENDIAN) uint32_t h; uint32_t l; #else uint32_t l; uint32_t h; #endif } dw; }; Square pop_1st_bit(Bitboard* bb) { b_union u; Square ret; u.b = *bb; if (u.dw.l) { ret = Square(BSFTable[((u.dw.l ^ (u.dw.l - 1)) * DeBruijnMagic) >> 26]); u.dw.l &= (u.dw.l - 1); *bb = u.b; return ret; } ret = Square(BSFTable[((~(u.dw.h ^ (u.dw.h - 1))) * DeBruijnMagic) >> 26]); u.dw.h &= (u.dw.h - 1); *bb = u.b; return ret; } #endif // !defined(USE_BSFQ) /// init_bitboards() initializes various bitboard arrays. It is called during /// program initialization. void init_bitboards() { SquaresByColorBB[DARK] = 0xAA55AA55AA55AA55ULL; SquaresByColorBB[LIGHT] = ~SquaresByColorBB[DARK]; for (Square s = SQ_A1; s <= SQ_H8; s++) { SetMaskBB[s] = (1ULL << s); ClearMaskBB[s] = ~SetMaskBB[s]; } ClearMaskBB[SQ_NONE] = ~EmptyBoardBB; FileBB[FILE_A] = FileABB; RankBB[RANK_1] = Rank1BB; for (int f = FILE_B; f <= FILE_H; f++) { FileBB[f] = FileBB[f - 1] << 1; RankBB[f] = RankBB[f - 1] << 8; } for (int f = FILE_A; f <= FILE_H; f++) { NeighboringFilesBB[f] = (f > FILE_A ? FileBB[f - 1] : 0) | (f < FILE_H ? FileBB[f + 1] : 0); ThisAndNeighboringFilesBB[f] = FileBB[f] | NeighboringFilesBB[f]; } for (int rw = RANK_7, rb = RANK_2; rw >= RANK_1; rw--, rb++) { InFrontBB[WHITE][rw] = InFrontBB[WHITE][rw + 1] | RankBB[rw + 1]; InFrontBB[BLACK][rb] = InFrontBB[BLACK][rb - 1] | RankBB[rb - 1]; } for (Color c = WHITE; c <= BLACK; c++) for (Square s = SQ_A1; s <= SQ_H8; s++) { SquaresInFrontMask[c][s] = in_front_bb(c, s) & file_bb(s); PassedPawnMask[c][s] = in_front_bb(c, s) & this_and_neighboring_files_bb(s); AttackSpanMask[c][s] = in_front_bb(c, s) & neighboring_files_bb(s); } for (Bitboard b = 0; b < 256; b++) BitCount8Bit[b] = (uint8_t)count_1s(b); for (int i = 1; i < 64; i++) if (!CpuIs64Bit) // Matt Taylor's folding trick for 32 bit systems { Bitboard b = 1ULL << i; b ^= b - 1; b ^= b >> 32; BSFTable[uint32_t(b * DeBruijnMagic) >> 26] = i; } else BSFTable[((1ULL << i) * DeBruijnMagic) >> 58] = i; int steps[][9] = { {0}, {7,9,0}, {17,15,10,6,-6,-10,-15,-17,0}, {0}, {0}, {0}, {9,7,-7,-9,8,1,-1,-8,0} }; for (Color c = WHITE; c <= BLACK; c++) for (Square s = SQ_A1; s <= SQ_H8; s++) for (PieceType pt = PAWN; pt <= KING; pt++) for (int k = 0; steps[pt][k]; k++) { Square to = s + Square(c == WHITE ? steps[pt][k] : -steps[pt][k]); if (square_is_ok(to) && square_distance(s, to) < 3) set_bit(&StepAttacksBB[make_piece(c, pt)][s], to); } int rookDeltas[4][2] = { {0,1}, {0 ,-1}, {1, 0}, {-1, 0} }; int bishopDeltas[4][2] = { {1,1}, {-1, 1}, {1,-1}, {-1,-1} }; init_sliding_attacks(RAttacks, RAttackIndex, RMask, RShift, RMult, rookDeltas); init_sliding_attacks(BAttacks, BAttackIndex, BMask, BShift, BMult, bishopDeltas); for (Square s = SQ_A1; s <= SQ_H8; s++) { BishopPseudoAttacks[s] = bishop_attacks_bb(s, EmptyBoardBB); RookPseudoAttacks[s] = rook_attacks_bb(s, EmptyBoardBB); QueenPseudoAttacks[s] = queen_attacks_bb(s, EmptyBoardBB); } for (Square s1 = SQ_A1; s1 <= SQ_H8; s1++) for (Square s2 = SQ_A1; s2 <= SQ_H8; s2++) if (bit_is_set(QueenPseudoAttacks[s1], s2)) { int f = file_distance(s1, s2); int r = rank_distance(s1, s2); Square d = (s2 - s1) / Max(f, r); for (Square s3 = s1 + d; s3 != s2; s3 += d) set_bit(&BetweenBB[s1][s2], s3); } } namespace { Bitboard index_to_bitboard(int index, Bitboard mask) { Bitboard result = 0; int sq, cnt = 0; while (mask) { sq = pop_1st_bit(&mask); if (index & (1 << cnt++)) result |= (1ULL << sq); } return result; } Bitboard sliding_attacks(int sq, Bitboard occupied, int deltas[][2], int fmin, int fmax, int rmin, int rmax) { Bitboard attacks = 0; int dx, dy, f, r; int rk = sq / 8; int fl = sq % 8; for (int i = 0; i < 4; i++) { dx = deltas[i][0]; dy = deltas[i][1]; f = fl + dx; r = rk + dy; while ( (dx == 0 || (f >= fmin && f <= fmax)) && (dy == 0 || (r >= rmin && r <= rmax))) { attacks |= (1ULL << (f + r * 8)); if (occupied & (1ULL << (f + r * 8))) break; f += dx; r += dy; } } return attacks; } void init_sliding_attacks(Bitboard attacks[], int attackIndex[], Bitboard mask[], const int shift[], const Bitboard mult[], int deltas[][2]) { Bitboard b, v; int i, j, index; for (i = index = 0; i < 64; i++) { attackIndex[i] = index; mask[i] = sliding_attacks(i, 0, deltas, 1, 6, 1, 6); j = 1 << ((CpuIs64Bit ? 64 : 32) - shift[i]); for (int k = 0; k < j; k++) { b = index_to_bitboard(k, mask[i]); v = CpuIs64Bit ? b * mult[i] : unsigned(b * mult[i] ^ (b >> 32) * (mult[i] >> 32)); attacks[index + (v >> shift[i])] = sliding_attacks(i, b, deltas, 0, 7, 0, 7); } index += j; } } }