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magic.cpp
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#include "magic.h"
const ull lbb[8] = {
0x00000000000000FFULL, 0x000000000000FF00ULL, 0x0000000000FF0000ULL, 0x00000000FF000000ULL,
0x000000FF00000000ULL, 0x0000FF0000000000ULL, 0x00FF000000000000ULL, 0xFF00000000000000ULL
};
const ull cbb[8] = {
0x0101010101010101ULL, 0x0202020202020202ULL, 0x0404040404040404ULL, 0x0808080808080808ULL,
0x1010101010101010ULL, 0x2020202020202020ULL, 0x4040404040404040ULL, 0x8080808080808080ULL
};
ull magicmoveskdb[64]; // King moves database
ull magicmovesndb[64]; // kNight moves database
ull magicmovesbdb[64][1 << 9]; // Bishop moves database
ull magicmovesrdb[64][1 << 12]; // Rook moves database
// keys for bishops
const ull magicmoves_b_magics[64] = {
0x0002020202020200ULL, 0x0002020202020000ULL, 0x0004010202000000ULL, 0x0004040080000000ULL,
0x0001104000000000ULL, 0x0000821040000000ULL, 0x0000410410400000ULL, 0x0000104104104000ULL,
0x0000040404040400ULL, 0x0000020202020200ULL, 0x0000040102020000ULL, 0x0000040400800000ULL,
0x0000011040000000ULL, 0x0000008210400000ULL, 0x0000004104104000ULL, 0x0000002082082000ULL,
0x0004000808080800ULL, 0x0002000404040400ULL, 0x0001000202020200ULL, 0x0000800802004000ULL,
0x0000800400A00000ULL, 0x0000200100884000ULL, 0x0000400082082000ULL, 0x0000200041041000ULL,
0x0002080010101000ULL, 0x0001040008080800ULL, 0x0000208004010400ULL, 0x0000404004010200ULL,
0x0000840000802000ULL, 0x0000404002011000ULL, 0x0000808001041000ULL, 0x0000404000820800ULL,
0x0001041000202000ULL, 0x0000820800101000ULL, 0x0000104400080800ULL, 0x0000020080080080ULL,
0x0000404040040100ULL, 0x0000808100020100ULL, 0x0001010100020800ULL, 0x0000808080010400ULL,
0x0000820820004000ULL, 0x0000410410002000ULL, 0x0000082088001000ULL, 0x0000002011000800ULL,
0x0000080100400400ULL, 0x0001010101000200ULL, 0x0002020202000400ULL, 0x0001010101000200ULL,
0x0000410410400000ULL, 0x0000208208200000ULL, 0x0000002084100000ULL, 0x0000000020880000ULL,
0x0000001002020000ULL, 0x0000040408020000ULL, 0x0004040404040000ULL, 0x0002020202020000ULL,
0x0000104104104000ULL, 0x0000002082082000ULL, 0x0000000020841000ULL, 0x0000000000208800ULL,
0x0000000010020200ULL, 0x0000000404080200ULL, 0x0000040404040400ULL, 0x0002020202020200ULL
};
const ull magicmoves_b_mask[64] = {
0x0040201008040200ULL, 0x0000402010080400ULL, 0x0000004020100A00ULL, 0x0000000040221400ULL,
0x0000000002442800ULL, 0x0000000204085000ULL, 0x0000020408102000ULL, 0x0002040810204000ULL,
0x0020100804020000ULL, 0x0040201008040000ULL, 0x00004020100A0000ULL, 0x0000004022140000ULL,
0x0000000244280000ULL, 0x0000020408500000ULL, 0x0002040810200000ULL, 0x0004081020400000ULL,
0x0010080402000200ULL, 0x0020100804000400ULL, 0x004020100A000A00ULL, 0x0000402214001400ULL,
0x0000024428002800ULL, 0x0002040850005000ULL, 0x0004081020002000ULL, 0x0008102040004000ULL,
0x0008040200020400ULL, 0x0010080400040800ULL, 0x0020100A000A1000ULL, 0x0040221400142200ULL,
0x0002442800284400ULL, 0x0004085000500800ULL, 0x0008102000201000ULL, 0x0010204000402000ULL,
0x0004020002040800ULL, 0x0008040004081000ULL, 0x00100A000A102000ULL, 0x0022140014224000ULL,
0x0044280028440200ULL, 0x0008500050080400ULL, 0x0010200020100800ULL, 0x0020400040201000ULL,
0x0002000204081000ULL, 0x0004000408102000ULL, 0x000A000A10204000ULL, 0x0014001422400000ULL,
0x0028002844020000ULL, 0x0050005008040200ULL, 0x0020002010080400ULL, 0x0040004020100800ULL,
0x0000020408102000ULL, 0x0000040810204000ULL, 0x00000A1020400000ULL, 0x0000142240000000ULL,
0x0000284402000000ULL, 0x0000500804020000ULL, 0x0000201008040200ULL, 0x0000402010080400ULL,
0x0002040810204000ULL, 0x0004081020400000ULL, 0x000A102040000000ULL, 0x0014224000000000ULL,
0x0028440200000000ULL, 0x0050080402000000ULL, 0x0020100804020000ULL, 0x0040201008040200ULL
};
// keys for rooks
// 0xEA87FFFECBFEA5AE -- H8 11 bit key for Rooks
const ull magicmoves_r_magics[64] = {
0x0080001020400080ULL, 0x0040001000200040ULL, 0x0080081000200080ULL, 0x0080040800100080ULL,
0x0080020400080080ULL, 0x0080010200040080ULL, 0x0080008001000200ULL, 0x0080002040800100ULL,
0x0000800020400080ULL, 0x0000400020005000ULL, 0x0000801000200080ULL, 0x0000800800100080ULL,
0x0000800400080080ULL, 0x0000800200040080ULL, 0x0000800100020080ULL, 0x0000800040800100ULL,
0x0000208000400080ULL, 0x0000404000201000ULL, 0x0000808010002000ULL, 0x0000808008001000ULL,
0x0000808004000800ULL, 0x0000808002000400ULL, 0x0000010100020004ULL, 0x0000020000408104ULL,
0x0000208080004000ULL, 0x0000200040005000ULL, 0x0000100080200080ULL, 0x0000080080100080ULL,
0x0000040080080080ULL, 0x0000020080040080ULL, 0x0000010080800200ULL, 0x0000800080004100ULL,
0x0000204000800080ULL, 0x0000200040401000ULL, 0x0000100080802000ULL, 0x0000080080801000ULL,
0x0000040080800800ULL, 0x0000020080800400ULL, 0x0000020001010004ULL, 0x0000800040800100ULL,
0x0000204000808000ULL, 0x0000200040008080ULL, 0x0000100020008080ULL, 0x0000080010008080ULL,
0x0000040008008080ULL, 0x0000020004008080ULL, 0x0000010002008080ULL, 0x0000004081020004ULL,
0x0000204000800080ULL, 0x0000200040008080ULL, 0x0000100020008080ULL, 0x0000080010008080ULL,
0x0000040008008080ULL, 0x0000020004008080ULL, 0x0000800100020080ULL, 0x0000800041000080ULL,
0x0000102040800101ULL, 0x0000102040008101ULL, 0x0000081020004101ULL, 0x0000040810002101ULL,
0x0001000204080011ULL, 0x0001000204000801ULL, 0x0001000082000401ULL, 0x0000002040810402ULL
};
const ull magicmoves_r_mask[64] = {
0x000101010101017EULL, 0x000202020202027CULL, 0x000404040404047AULL, 0x0008080808080876ULL,
0x001010101010106EULL, 0x002020202020205EULL, 0x004040404040403EULL, 0x008080808080807EULL,
0x0001010101017E00ULL, 0x0002020202027C00ULL, 0x0004040404047A00ULL, 0x0008080808087600ULL,
0x0010101010106E00ULL, 0x0020202020205E00ULL, 0x0040404040403E00ULL, 0x0080808080807E00ULL,
0x00010101017E0100ULL, 0x00020202027C0200ULL, 0x00040404047A0400ULL, 0x0008080808760800ULL,
0x00101010106E1000ULL, 0x00202020205E2000ULL, 0x00404040403E4000ULL, 0x00808080807E8000ULL,
0x000101017E010100ULL, 0x000202027C020200ULL, 0x000404047A040400ULL, 0x0008080876080800ULL,
0x001010106E101000ULL, 0x002020205E202000ULL, 0x004040403E404000ULL, 0x008080807E808000ULL,
0x0001017E01010100ULL, 0x0002027C02020200ULL, 0x0004047A04040400ULL, 0x0008087608080800ULL,
0x0010106E10101000ULL, 0x0020205E20202000ULL, 0x0040403E40404000ULL, 0x0080807E80808000ULL,
0x00017E0101010100ULL, 0x00027C0202020200ULL, 0x00047A0404040400ULL, 0x0008760808080800ULL,
0x00106E1010101000ULL, 0x00205E2020202000ULL, 0x00403E4040404000ULL, 0x00807E8080808000ULL,
0x007E010101010100ULL, 0x007C020202020200ULL, 0x007A040404040400ULL, 0x0076080808080800ULL,
0x006E101010101000ULL, 0x005E202020202000ULL, 0x003E404040404000ULL, 0x007E808080808000ULL,
0x7E01010101010100ULL, 0x7C02020202020200ULL, 0x7A04040404040400ULL, 0x7608080808080800ULL,
0x6E10101010101000ULL, 0x5E20202020202000ULL, 0x3E40404040404000ULL, 0x7E80808080808000ULL
};
ull initmagicmoves_occ(const int *squares, const int numSquares, const ull linocc)
{
int i;
ull ret = 0;
for (i = 0; i < numSquares; i++)
if (linocc & (((ull) (1)) << i))
ret |= (((ull) (1)) << squares[i]);
return ret;
}
ull initmagicmoves_Rmoves(const int square, const ull occ)
{
ull ret = 0;
ull bit;
ull rowbits = (((ull) 0xFF) << (8 * (square/8)));
bit = (((ull) (1)) << square);
do {
bit <<= 8;
ret |= bit;
} while (bit && !(bit & occ));
bit = (((ull) (1)) << square);
do {
bit >>= 8;
ret |= bit;
} while (bit && !(bit & occ));
bit = (((ull) (1)) << square);
do {
bit <<= 1;
if (bit & rowbits)
ret |= bit;
else
break;
} while (!(bit & occ));
bit = (((ull) (1)) << square);
do {
bit >>= 1;
if (bit & rowbits)
ret |= bit;
else
break;
} while (!(bit & occ));
return ret;
}
ull initmagicmoves_Bmoves(const int square, const ull occ)
{
ull ret = 0;
ull bit;
ull bit2;
ull rowbits = (((ull) 0xFF) << (8 * (square/8)));
bit = (((ull) (1)) << square);
bit2 = bit;
do {
bit <<= 8 - 1;
bit2 >>= 1;
if (bit2 & rowbits)
ret |= bit;
else
break;
} while (bit && !(bit & occ));
bit = (((ull) (1)) << square);
bit2 = bit;
do {
bit <<= 8 + 1;
bit2 <<= 1;
if (bit2 & rowbits)
ret |= bit;
else
break;
} while (bit && !(bit & occ));
bit = (((ull) (1)) << square);
bit2 = bit;
do {
bit >>= 8 - 1;
bit2 <<= 1;
if (bit2 & rowbits)
ret |= bit;
else
break;
} while (bit && !(bit & occ));
bit = (((ull) (1)) << square);
bit2 = bit;
do {
bit >>= 8 + 1;
bit2 >>= 1;
if (bit2 & rowbits)
ret |= bit;
else
break;
} while (bit && !(bit & occ));
return ret;
}
// Generate Knight attack board based on board square index
ull initmagicmoves_Nmoves(const int square)
{
int y = square/8, x = square%8;
ull bbNAttacks=0;
if (x-2>=0 && y-1>=0) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y-1, x-2));
if (x+2<=7 && y-1>=0) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y-1, x+2));
if (x+2<=7 && y+1<=7) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y+1, x+2));
if (x-2>=0 && y+1<=7) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y+1, x-2));
if (x-1>=0 && y-2>=0) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y-2, x-1));
if (x+1<=7 && y-2>=0) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y-2, x+1));
if (x+1<=7 && y+2<=7) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y+2, x+1));
if (x-1>=0 && y+2<=7) SET_BIT(bbNAttacks, COORDS_TO_INDEX(y+2, x-1));
return bbNAttacks;
}
ull initmagicmoves_Kmoves(const int square)
{
int col = square%8;
ull bbKAttacks=0;
if (square+1 < 64 && col != 7) SET_BIT(bbKAttacks, square+1); //left
if (square+8 < 64) SET_BIT(bbKAttacks, square+8); //top
if (square+7 < 64 && col != 0) SET_BIT(bbKAttacks, square+7); //top right corner
if (square+9 < 64 && col != 7) SET_BIT(bbKAttacks, square+9); //top left corner
if (square-8 >= 0) SET_BIT(bbKAttacks, square-8); //down
if (square-7 >= 0 && col != 7) SET_BIT(bbKAttacks, square-7); //down right corner
if (square-9 >= 0 && col != 0) SET_BIT(bbKAttacks, square-9); //down left corner
if (square-1 >= 0 && col != 0) SET_BIT(bbKAttacks, square-1); //right
return bbKAttacks;
}
// used so the original definitions can be left as const and the compiler can optimize better
#define BmagicNOMASK2(square, occupancy) magicmovesbdb[square][((occupancy)*magicmoves_b_magics[square]) >> MINIMAL_B_BITS_SHIFT]
#define RmagicNOMASK2(square, occupancy) magicmovesrdb[square][((occupancy)*magicmoves_r_magics[square]) >> MINIMAL_R_BITS_SHIFT]
void initmagicmoves(void)
{
int i;
// for bitscans :
// initmagicmoves_bitpos64_database[(x*0x07EDD5E59A4E28C2)>>58]
int initmagicmoves_bitpos64_database[64] = {
63, 0, 58, 1, 59, 47, 53, 2,
60, 39, 48, 27, 54, 33, 42, 3,
61, 51, 37, 40, 49, 18, 28, 20,
55, 30, 34, 11, 43, 14, 22, 4,
62, 57, 46, 52, 38, 26, 32, 41,
50, 36, 17, 19, 29, 10, 13, 21,
56, 45, 25, 31, 35, 16, 9, 12,
44, 24, 15, 8, 23, 7, 6, 5
};
// generate knight database
for (i=0; i<64; ++i)
magicmovesndb[i] = initmagicmoves_Nmoves(i),
magicmoveskdb[i] = initmagicmoves_Kmoves(i);
for (i = 0; i < 64; ++i) {
int squares[64];
int numsquares = 0;
ull temp = magicmoves_b_mask[i];
while (temp) {
ull bit = temp & -temp;
squares[numsquares++] =
initmagicmoves_bitpos64_database[(bit * 0x07EDD5E59A4E28C2ULL) >> 58];
temp ^= bit;
}
for (temp = 0; temp < (((ull) (1)) << numsquares); temp++) {
ull tempocc = initmagicmoves_occ (squares, numsquares, temp);
BmagicNOMASK2(i, tempocc) = initmagicmoves_Bmoves (i, tempocc);
}
}
for (i = 0; i < 64; ++i) {
int squares[64];
int numsquares = 0;
ull temp = magicmoves_r_mask[i];
while (temp) {
ull bit = temp & -temp;
squares[numsquares++] =
initmagicmoves_bitpos64_database[(bit * 0x07EDD5E59A4E28C2ULL) >> 58];
temp ^= bit;
}
for (temp = 0; temp < (((ull) (1)) << numsquares); temp++) {
ull tempocc = initmagicmoves_occ(squares, numsquares, temp);
RmagicNOMASK2(i, tempocc) = initmagicmoves_Rmoves (i, tempocc);
}
}
}