2 Stockfish, a UCI chess playing engine derived from Glaurung 2.1
3 Copyright (C) 2004-2008 Tord Romstad (Glaurung author)
4 Copyright (C) 2008-2010 Marco Costalba, Joona Kiiski, Tord Romstad
6 Stockfish is free software: you can redistribute it and/or modify
7 it under the terms of the GNU General Public License as published by
8 the Free Software Foundation, either version 3 of the License, or
9 (at your option) any later version.
11 Stockfish is distributed in the hope that it will be useful,
12 but WITHOUT ANY WARRANTY; without even the implied warranty of
13 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
14 GNU General Public License for more details.
16 You should have received a copy of the GNU General Public License
17 along with this program. If not, see <http://www.gnu.org/licenses/>.
32 #include "ucioption.h"
36 //// Local definitions
41 // Struct EvalInfo contains various information computed and collected
42 // by the evaluation functions.
45 // Pointer to pawn hash table entry
48 // attackedBy[color][piece type] is a bitboard representing all squares
49 // attacked by a given color and piece type, attackedBy[color][0] contains
50 // all squares attacked by the given color.
51 Bitboard attackedBy[2][8];
53 // kingZone[color] is the zone around the enemy king which is considered
54 // by the king safety evaluation. This consists of the squares directly
55 // adjacent to the king, and the three (or two, for a king on an edge file)
56 // squares two ranks in front of the king. For instance, if black's king
57 // is on g8, kingZone[WHITE] is a bitboard containing the squares f8, h8,
58 // f7, g7, h7, f6, g6 and h6.
61 // kingAttackersCount[color] is the number of pieces of the given color
62 // which attack a square in the kingZone of the enemy king.
63 int kingAttackersCount[2];
65 // kingAttackersWeight[color] is the sum of the "weight" of the pieces of the
66 // given color which attack a square in the kingZone of the enemy king. The
67 // weights of the individual piece types are given by the variables
68 // QueenAttackWeight, RookAttackWeight, BishopAttackWeight and
69 // KnightAttackWeight in evaluate.cpp
70 int kingAttackersWeight[2];
72 // kingAdjacentZoneAttacksCount[color] is the number of attacks to squares
73 // directly adjacent to the king of the given color. Pieces which attack
74 // more than one square are counted multiple times. For instance, if black's
75 // king is on g8 and there's a white knight on g5, this knight adds
76 // 2 to kingAdjacentZoneAttacksCount[BLACK].
77 int kingAdjacentZoneAttacksCount[2];
80 // Evaluation grain size, must be a power of 2
81 const int GrainSize = 8;
83 // Evaluation weights, initialized from UCI options
84 enum { Mobility, PawnStructure, PassedPawns, Space, KingDangerUs, KingDangerThem };
88 #define S(mg, eg) make_score(mg, eg)
90 // Internal evaluation weights. These are applied on top of the evaluation
91 // weights read from UCI parameters. The purpose is to be able to change
92 // the evaluation weights while keeping the default values of the UCI
93 // parameters at 100, which looks prettier.
95 // Values modified by Joona Kiiski
96 const Score WeightsInternal[] = {
97 S(248, 271), S(233, 201), S(252, 259), S(46, 0), S(247, 0), S(259, 0)
100 // MobilityBonus[PieceType][attacked] contains mobility bonuses for middle and
101 // end game, indexed by piece type and number of attacked squares not occupied
102 // by friendly pieces.
103 const Score MobilityBonus[][32] = {
105 { S(-38,-33), S(-25,-23), S(-12,-13), S( 0, -3), S(12, 7), S(25, 17), // Knights
106 S( 31, 22), S( 38, 27), S( 38, 27) },
107 { S(-25,-30), S(-11,-16), S( 3, -2), S(17, 12), S(31, 26), S(45, 40), // Bishops
108 S( 57, 52), S( 65, 60), S( 71, 65), S(74, 69), S(76, 71), S(78, 73),
109 S( 79, 74), S( 80, 75), S( 81, 76), S(81, 76) },
110 { S(-20,-36), S(-14,-19), S( -8, -3), S(-2, 13), S( 4, 29), S(10, 46), // Rooks
111 S( 14, 62), S( 19, 79), S( 23, 95), S(26,106), S(27,111), S(28,114),
112 S( 29,116), S( 30,117), S( 31,118), S(32,118) },
113 { S(-10,-18), S( -8,-13), S( -6, -7), S(-3, -2), S(-1, 3), S( 1, 8), // Queens
114 S( 3, 13), S( 5, 19), S( 8, 23), S(10, 27), S(12, 32), S(15, 34),
115 S( 16, 35), S( 17, 35), S( 18, 35), S(20, 35), S(20, 35), S(20, 35),
116 S( 20, 35), S( 20, 35), S( 20, 35), S(20, 35), S(20, 35), S(20, 35),
117 S( 20, 35), S( 20, 35), S( 20, 35), S(20, 35), S(20, 35), S(20, 35),
118 S( 20, 35), S( 20, 35) }
121 // OutpostBonus[PieceType][Square] contains outpost bonuses of knights and
122 // bishops, indexed by piece type and square (from white's point of view).
123 const Value OutpostBonus[][64] = {
126 V(0), V(0), V(0), V(0), V(0), V(0), V(0), V(0), // Knights
127 V(0), V(0), V(0), V(0), V(0), V(0), V(0), V(0),
128 V(0), V(0), V(4), V(8), V(8), V(4), V(0), V(0),
129 V(0), V(4),V(17),V(26),V(26),V(17), V(4), V(0),
130 V(0), V(8),V(26),V(35),V(35),V(26), V(8), V(0),
131 V(0), V(4),V(17),V(17),V(17),V(17), V(4), V(0) },
133 V(0), V(0), V(0), V(0), V(0), V(0), V(0), V(0), // Bishops
134 V(0), V(0), V(0), V(0), V(0), V(0), V(0), V(0),
135 V(0), V(0), V(5), V(5), V(5), V(5), V(0), V(0),
136 V(0), V(5),V(10),V(10),V(10),V(10), V(5), V(0),
137 V(0),V(10),V(21),V(21),V(21),V(21),V(10), V(0),
138 V(0), V(5), V(8), V(8), V(8), V(8), V(5), V(0) }
141 // ThreatBonus[attacking][attacked] contains threat bonuses according to
142 // which piece type attacks which one.
143 const Score ThreatBonus[][8] = {
145 { S(0, 0), S( 7, 39), S( 0, 0), S(24, 49), S(41,100), S(41,100) }, // KNIGHT
146 { S(0, 0), S( 7, 39), S(24, 49), S( 0, 0), S(41,100), S(41,100) }, // BISHOP
147 { S(0, 0), S(-1, 29), S(15, 49), S(15, 49), S( 0, 0), S(24, 49) }, // ROOK
148 { S(0, 0), S(15, 39), S(15, 39), S(15, 39), S(15, 39), S( 0, 0) } // QUEEN
151 // ThreatedByPawnPenalty[PieceType] contains a penalty according to which
152 // piece type is attacked by an enemy pawn.
153 const Score ThreatedByPawnPenalty[] = {
154 S(0, 0), S(0, 0), S(56, 70), S(56, 70), S(76, 99), S(86, 118)
159 // Rooks and queens on the 7th rank (modified by Joona Kiiski)
160 const Score RookOn7thBonus = make_score(47, 98);
161 const Score QueenOn7thBonus = make_score(27, 54);
163 // Rooks on open files (modified by Joona Kiiski)
164 const Score RookOpenFileBonus = make_score(43, 43);
165 const Score RookHalfOpenFileBonus = make_score(19, 19);
167 // Penalty for rooks trapped inside a friendly king which has lost the
169 const Value TrappedRookPenalty = Value(180);
171 // The SpaceMask[Color] contains the area of the board which is considered
172 // by the space evaluation. In the middle game, each side is given a bonus
173 // based on how many squares inside this area are safe and available for
174 // friendly minor pieces.
175 const Bitboard SpaceMask[] = {
176 (1ULL << SQ_C2) | (1ULL << SQ_D2) | (1ULL << SQ_E2) | (1ULL << SQ_F2) |
177 (1ULL << SQ_C3) | (1ULL << SQ_D3) | (1ULL << SQ_E3) | (1ULL << SQ_F3) |
178 (1ULL << SQ_C4) | (1ULL << SQ_D4) | (1ULL << SQ_E4) | (1ULL << SQ_F4),
179 (1ULL << SQ_C7) | (1ULL << SQ_D7) | (1ULL << SQ_E7) | (1ULL << SQ_F7) |
180 (1ULL << SQ_C6) | (1ULL << SQ_D6) | (1ULL << SQ_E6) | (1ULL << SQ_F6) |
181 (1ULL << SQ_C5) | (1ULL << SQ_D5) | (1ULL << SQ_E5) | (1ULL << SQ_F5)
184 // King danger constants and variables. The king danger scores are taken
185 // from the KingDangerTable[]. Various little "meta-bonuses" measuring
186 // the strength of the enemy attack are added up into an integer, which
187 // is used as an index to KingDangerTable[].
189 // KingAttackWeights[PieceType] contains king attack weights by piece type
190 const int KingAttackWeights[] = { 0, 0, 2, 2, 3, 5 };
192 // Bonuses for enemy's safe checks
193 const int QueenContactCheckBonus = 6;
194 const int RookContactCheckBonus = 4;
195 const int QueenCheckBonus = 3;
196 const int RookCheckBonus = 2;
197 const int BishopCheckBonus = 1;
198 const int KnightCheckBonus = 1;
200 // InitKingDanger[Square] contains penalties based on the position of the
201 // defending king, indexed by king's square (from white's point of view).
202 const int InitKingDanger[] = {
203 2, 0, 2, 5, 5, 2, 0, 2,
204 2, 2, 4, 8, 8, 4, 2, 2,
205 7, 10, 12, 12, 12, 12, 10, 7,
206 15, 15, 15, 15, 15, 15, 15, 15,
207 15, 15, 15, 15, 15, 15, 15, 15,
208 15, 15, 15, 15, 15, 15, 15, 15,
209 15, 15, 15, 15, 15, 15, 15, 15,
210 15, 15, 15, 15, 15, 15, 15, 15
213 // KingDangerTable[Color][attackUnits] contains the actual king danger
214 // weighted scores, indexed by color and by a calculated integer number.
215 Score KingDangerTable[2][128];
217 // Pawn and material hash tables, indexed by the current thread id.
218 // Note that they will be initialized at 0 being global variables.
219 MaterialInfoTable* MaterialTable[MAX_THREADS];
220 PawnInfoTable* PawnTable[MAX_THREADS];
222 // Function prototypes
223 template<bool HasPopCnt>
224 Value do_evaluate(const Position& pos, Value& margin);
226 template<Color Us, bool HasPopCnt>
227 void init_eval_info(const Position& pos, EvalInfo& ei);
229 template<Color Us, bool HasPopCnt>
230 Score evaluate_pieces_of_color(const Position& pos, EvalInfo& ei, Score& mobility);
232 template<Color Us, bool HasPopCnt>
233 Score evaluate_king(const Position& pos, EvalInfo& ei, Value& margin);
236 Score evaluate_threats(const Position& pos, EvalInfo& ei);
238 template<Color Us, bool HasPopCnt>
239 int evaluate_space(const Position& pos, EvalInfo& ei);
242 Score evaluate_passed_pawns(const Position& pos, EvalInfo& ei);
244 Score apply_weight(Score v, Score weight);
245 Value scale_by_game_phase(const Score& v, Phase ph, ScaleFactor sf);
246 Score weight_option(const std::string& mgOpt, const std::string& egOpt, Score internalWeight);
256 /// Prefetches in pawn hash tables
258 void prefetchPawn(Key key, int threadID) {
260 PawnTable[threadID]->prefetch(key);
264 /// evaluate() is the main evaluation function. It always computes two
265 /// values, an endgame score and a middle game score, and interpolates
266 /// between them based on the remaining material.
267 Value evaluate(const Position& pos, Value& margin) {
269 return CpuHasPOPCNT ? do_evaluate<true>(pos, margin)
270 : do_evaluate<false>(pos, margin);
275 template<bool HasPopCnt>
276 Value do_evaluate(const Position& pos, Value& margin) {
279 Score mobilityWhite, mobilityBlack;
282 assert(pos.thread() >= 0 && pos.thread() < MAX_THREADS);
283 assert(!pos.is_check());
285 // Initialize value by reading the incrementally updated scores included
286 // in the position object (material + piece square tables).
287 Score bonus = pos.value();
289 // margin is the uncertainty estimation of position's evaluation
290 // and typically is used by the search for pruning decisions.
293 // Probe the material hash table
294 MaterialInfo* mi = MaterialTable[pos.thread()]->get_material_info(pos);
295 bonus += mi->material_value();
297 // If we have a specialized evaluation function for the current material
298 // configuration, call it and return.
299 if (mi->specialized_eval_exists())
300 return mi->evaluate(pos);
302 // Probe the pawn hash table
303 ei.pi = PawnTable[pos.thread()]->get_pawn_info(pos);
304 bonus += apply_weight(ei.pi->pawns_value(), Weights[PawnStructure]);
306 // Initialize attack and king safety bitboards
307 init_eval_info<WHITE, HasPopCnt>(pos, ei);
308 init_eval_info<BLACK, HasPopCnt>(pos, ei);
310 // Evaluate pieces and mobility
311 bonus += evaluate_pieces_of_color<WHITE, HasPopCnt>(pos, ei, mobilityWhite)
312 - evaluate_pieces_of_color<BLACK, HasPopCnt>(pos, ei, mobilityBlack);
314 bonus += apply_weight(mobilityWhite - mobilityBlack, Weights[Mobility]);
316 // Evaluate kings after all other pieces because we need complete attack
317 // information when computing the king safety evaluation.
318 bonus += evaluate_king<WHITE, HasPopCnt>(pos, ei, margin)
319 - evaluate_king<BLACK, HasPopCnt>(pos, ei, margin);
321 // Evaluate tactical threats, we need full attack information including king
322 bonus += evaluate_threats<WHITE>(pos, ei)
323 - evaluate_threats<BLACK>(pos, ei);
325 // Evaluate passed pawns, we need full attack information including king
326 bonus += evaluate_passed_pawns<WHITE>(pos, ei)
327 - evaluate_passed_pawns<BLACK>(pos, ei);
329 // Evaluate space for both sides, only in middle-game.
330 if (mi->space_weight())
332 int s = evaluate_space<WHITE, HasPopCnt>(pos, ei) - evaluate_space<BLACK, HasPopCnt>(pos, ei);
333 bonus += apply_weight(make_score(s * mi->space_weight(), 0), Weights[Space]);
336 // Scale winning side if position is more drawish that what it appears
337 ScaleFactor sf = eg_value(bonus) > VALUE_DRAW ? mi->scale_factor(pos, WHITE)
338 : mi->scale_factor(pos, BLACK);
339 Phase phase = mi->game_phase();
341 // If we don't already have an unusual scale factor, check for opposite
342 // colored bishop endgames, and use a lower scale for those.
343 if ( phase < PHASE_MIDGAME
344 && pos.opposite_colored_bishops()
345 && sf == SCALE_FACTOR_NORMAL)
347 // Only the two bishops ?
348 if ( pos.non_pawn_material(WHITE) == BishopValueMidgame
349 && pos.non_pawn_material(BLACK) == BishopValueMidgame)
351 // Check for KBP vs KB with only a single pawn that is almost
352 // certainly a draw or at least two pawns.
353 bool one_pawn = (pos.piece_count(WHITE, PAWN) + pos.piece_count(BLACK, PAWN) == 1);
354 sf = one_pawn ? ScaleFactor(8) : ScaleFactor(32);
357 // Endgame with opposite-colored bishops, but also other pieces. Still
358 // a bit drawish, but not as drawish as with only the two bishops.
359 sf = ScaleFactor(50);
362 // Interpolate between the middle game and the endgame score
363 Value v = scale_by_game_phase(bonus, phase, sf);
364 return pos.side_to_move() == WHITE ? v : -v;
370 /// init_eval() initializes various tables used by the evaluation function
372 void init_eval(int threads) {
374 assert(threads <= MAX_THREADS);
376 for (int i = 0; i < MAX_THREADS; i++)
381 delete MaterialTable[i];
383 MaterialTable[i] = NULL;
387 PawnTable[i] = new PawnInfoTable();
389 if (!MaterialTable[i])
390 MaterialTable[i] = new MaterialInfoTable();
395 /// quit_eval() releases heap-allocated memory at program termination
403 /// read_weights() reads evaluation weights from the corresponding UCI parameters
405 void read_weights(Color us) {
407 // King safety is asymmetrical. Our king danger level is weighted by
408 // "Cowardice" UCI parameter, instead the opponent one by "Aggressiveness".
409 const int kingDangerUs = (us == WHITE ? KingDangerUs : KingDangerThem);
410 const int kingDangerThem = (us == WHITE ? KingDangerThem : KingDangerUs);
412 Weights[Mobility] = weight_option("Mobility (Middle Game)", "Mobility (Endgame)", WeightsInternal[Mobility]);
413 Weights[PawnStructure] = weight_option("Pawn Structure (Middle Game)", "Pawn Structure (Endgame)", WeightsInternal[PawnStructure]);
414 Weights[PassedPawns] = weight_option("Passed Pawns (Middle Game)", "Passed Pawns (Endgame)", WeightsInternal[PassedPawns]);
415 Weights[Space] = weight_option("Space", "Space", WeightsInternal[Space]);
416 Weights[kingDangerUs] = weight_option("Cowardice", "Cowardice", WeightsInternal[KingDangerUs]);
417 Weights[kingDangerThem] = weight_option("Aggressiveness", "Aggressiveness", WeightsInternal[KingDangerThem]);
419 // If running in analysis mode, make sure we use symmetrical king safety. We do this
420 // by replacing both Weights[kingDangerUs] and Weights[kingDangerThem] by their average.
421 if (get_option_value_bool("UCI_AnalyseMode"))
422 Weights[kingDangerUs] = Weights[kingDangerThem] = (Weights[kingDangerUs] + Weights[kingDangerThem]) / 2;
430 // init_eval_info() initializes king bitboards for given color adding
431 // pawn attacks. To be done at the beginning of the evaluation.
433 template<Color Us, bool HasPopCnt>
434 void init_eval_info(const Position& pos, EvalInfo& ei) {
436 const BitCountType Max15 = HasPopCnt ? CNT_POPCNT : CpuIs64Bit ? CNT64_MAX15 : CNT32_MAX15;
437 const Color Them = (Us == WHITE ? BLACK : WHITE);
439 Bitboard b = ei.attackedBy[Them][KING] = pos.attacks_from<KING>(pos.king_square(Them));
440 ei.attackedBy[Us][PAWN] = ei.pi->pawn_attacks(Us);
442 // Init king safety tables only if we are going to use them
443 if ( pos.piece_count(Us, QUEEN)
444 && pos.non_pawn_material(Us) >= QueenValueMidgame + RookValueMidgame)
446 ei.kingZone[Us] = (b | (Us == WHITE ? b >> 8 : b << 8));
447 b &= ei.attackedBy[Us][PAWN];
448 ei.kingAttackersCount[Us] = b ? count_1s<Max15>(b) / 2 : 0;
449 ei.kingAdjacentZoneAttacksCount[Us] = ei.kingAttackersWeight[Us] = 0;
451 ei.kingZone[Us] = ei.kingAttackersCount[Us] = 0;
455 // evaluate_outposts() evaluates bishop and knight outposts squares
457 template<PieceType Piece, Color Us>
458 Score evaluate_outposts(const Position& pos, EvalInfo& ei, Square s) {
460 const Color Them = (Us == WHITE ? BLACK : WHITE);
462 assert (Piece == BISHOP || Piece == KNIGHT);
464 // Initial bonus based on square
465 Value bonus = OutpostBonus[Piece == BISHOP][relative_square(Us, s)];
467 // Increase bonus if supported by pawn, especially if the opponent has
468 // no minor piece which can exchange the outpost piece.
469 if (bonus && bit_is_set(ei.attackedBy[Us][PAWN], s))
471 if ( pos.pieces(KNIGHT, Them) == EmptyBoardBB
472 && (SquaresByColorBB[square_color(s)] & pos.pieces(BISHOP, Them)) == EmptyBoardBB)
473 bonus += bonus + bonus / 2;
477 return make_score(bonus, bonus);
481 // evaluate_pieces<>() assigns bonuses and penalties to the pieces of a given color
483 template<PieceType Piece, Color Us, bool HasPopCnt>
484 Score evaluate_pieces(const Position& pos, EvalInfo& ei, Score& mobility, Bitboard mobilityArea) {
490 Score bonus = SCORE_ZERO;
492 const BitCountType Full = HasPopCnt ? CNT_POPCNT : CpuIs64Bit ? CNT64 : CNT32;
493 const BitCountType Max15 = HasPopCnt ? CNT_POPCNT : CpuIs64Bit ? CNT64_MAX15 : CNT32_MAX15;
494 const Color Them = (Us == WHITE ? BLACK : WHITE);
495 const Square* ptr = pos.piece_list_begin(Us, Piece);
497 ei.attackedBy[Us][Piece] = EmptyBoardBB;
499 while ((s = *ptr++) != SQ_NONE)
501 // Find attacked squares, including x-ray attacks for bishops and rooks
502 if (Piece == KNIGHT || Piece == QUEEN)
503 b = pos.attacks_from<Piece>(s);
504 else if (Piece == BISHOP)
505 b = bishop_attacks_bb(s, pos.occupied_squares() & ~pos.pieces(QUEEN, Us));
506 else if (Piece == ROOK)
507 b = rook_attacks_bb(s, pos.occupied_squares() & ~pos.pieces(ROOK, QUEEN, Us));
511 // Update attack info
512 ei.attackedBy[Us][Piece] |= b;
515 if (b & ei.kingZone[Us])
517 ei.kingAttackersCount[Us]++;
518 ei.kingAttackersWeight[Us] += KingAttackWeights[Piece];
519 Bitboard bb = (b & ei.attackedBy[Them][KING]);
521 ei.kingAdjacentZoneAttacksCount[Us] += count_1s<Max15>(bb);
525 mob = (Piece != QUEEN ? count_1s<Max15>(b & mobilityArea)
526 : count_1s<Full >(b & mobilityArea));
528 mobility += MobilityBonus[Piece][mob];
530 // Decrease score if we are attacked by an enemy pawn. Remaining part
531 // of threat evaluation must be done later when we have full attack info.
532 if (bit_is_set(ei.attackedBy[Them][PAWN], s))
533 bonus -= ThreatedByPawnPenalty[Piece];
535 // Bishop and knight outposts squares
536 if ((Piece == BISHOP || Piece == KNIGHT) && pos.square_is_weak(s, Us))
537 bonus += evaluate_outposts<Piece, Us>(pos, ei, s);
539 // Queen or rook on 7th rank
540 if ( (Piece == ROOK || Piece == QUEEN)
541 && relative_rank(Us, s) == RANK_7
542 && relative_rank(Us, pos.king_square(Them)) == RANK_8)
544 bonus += (Piece == ROOK ? RookOn7thBonus : QueenOn7thBonus);
547 // Special extra evaluation for rooks
550 // Open and half-open files
552 if (ei.pi->file_is_half_open(Us, f))
554 if (ei.pi->file_is_half_open(Them, f))
555 bonus += RookOpenFileBonus;
557 bonus += RookHalfOpenFileBonus;
560 // Penalize rooks which are trapped inside a king. Penalize more if
561 // king has lost right to castle.
562 if (mob > 6 || ei.pi->file_is_half_open(Us, f))
565 ksq = pos.king_square(Us);
567 if ( square_file(ksq) >= FILE_E
568 && square_file(s) > square_file(ksq)
569 && (relative_rank(Us, ksq) == RANK_1 || square_rank(ksq) == square_rank(s)))
571 // Is there a half-open file between the king and the edge of the board?
572 if (!ei.pi->has_open_file_to_right(Us, square_file(ksq)))
573 bonus -= make_score(pos.can_castle(Us) ? (TrappedRookPenalty - mob * 16) / 2
574 : (TrappedRookPenalty - mob * 16), 0);
576 else if ( square_file(ksq) <= FILE_D
577 && square_file(s) < square_file(ksq)
578 && (relative_rank(Us, ksq) == RANK_1 || square_rank(ksq) == square_rank(s)))
580 // Is there a half-open file between the king and the edge of the board?
581 if (!ei.pi->has_open_file_to_left(Us, square_file(ksq)))
582 bonus -= make_score(pos.can_castle(Us) ? (TrappedRookPenalty - mob * 16) / 2
583 : (TrappedRookPenalty - mob * 16), 0);
591 // evaluate_threats<>() assigns bonuses according to the type of attacking piece
592 // and the type of attacked one.
595 Score evaluate_threats(const Position& pos, EvalInfo& ei) {
597 const Color Them = (Us == WHITE ? BLACK : WHITE);
600 Score bonus = SCORE_ZERO;
602 // Enemy pieces not defended by a pawn and under our attack
603 Bitboard weakEnemies = pos.pieces_of_color(Them)
604 & ~ei.attackedBy[Them][PAWN]
605 & ei.attackedBy[Us][0];
609 // Add bonus according to type of attacked enemy piece and to the
610 // type of attacking piece, from knights to queens. Kings are not
611 // considered because are already handled in king evaluation.
612 for (PieceType pt1 = KNIGHT; pt1 < KING; pt1++)
614 b = ei.attackedBy[Us][pt1] & weakEnemies;
616 for (PieceType pt2 = PAWN; pt2 < KING; pt2++)
617 if (b & pos.pieces(pt2))
618 bonus += ThreatBonus[pt1][pt2];
624 // evaluate_pieces_of_color<>() assigns bonuses and penalties to all the
625 // pieces of a given color.
627 template<Color Us, bool HasPopCnt>
628 Score evaluate_pieces_of_color(const Position& pos, EvalInfo& ei, Score& mobility) {
630 const Color Them = (Us == WHITE ? BLACK : WHITE);
632 Score bonus = mobility = SCORE_ZERO;
634 // Do not include in mobility squares protected by enemy pawns or occupied by our pieces
635 const Bitboard mobilityArea = ~(ei.attackedBy[Them][PAWN] | pos.pieces_of_color(Us));
637 bonus += evaluate_pieces<KNIGHT, Us, HasPopCnt>(pos, ei, mobility, mobilityArea);
638 bonus += evaluate_pieces<BISHOP, Us, HasPopCnt>(pos, ei, mobility, mobilityArea);
639 bonus += evaluate_pieces<ROOK, Us, HasPopCnt>(pos, ei, mobility, mobilityArea);
640 bonus += evaluate_pieces<QUEEN, Us, HasPopCnt>(pos, ei, mobility, mobilityArea);
642 // Sum up all attacked squares
643 ei.attackedBy[Us][0] = ei.attackedBy[Us][PAWN] | ei.attackedBy[Us][KNIGHT]
644 | ei.attackedBy[Us][BISHOP] | ei.attackedBy[Us][ROOK]
645 | ei.attackedBy[Us][QUEEN] | ei.attackedBy[Us][KING];
650 // evaluate_king<>() assigns bonuses and penalties to a king of a given color
652 template<Color Us, bool HasPopCnt>
653 Score evaluate_king(const Position& pos, EvalInfo& ei, Value& margin) {
655 const BitCountType Max15 = HasPopCnt ? CNT_POPCNT : CpuIs64Bit ? CNT64_MAX15 : CNT32_MAX15;
656 const Color Them = (Us == WHITE ? BLACK : WHITE);
658 Bitboard undefended, b, b1, b2, safe;
660 const Square ksq = pos.king_square(Us);
663 Score bonus = ei.pi->king_shelter<Us>(pos, ksq);
665 // King safety. This is quite complicated, and is almost certainly far
666 // from optimally tuned.
667 if ( ei.kingAttackersCount[Them] >= 2
668 && ei.kingAdjacentZoneAttacksCount[Them])
670 // Find the attacked squares around the king which has no defenders
671 // apart from the king itself
672 undefended = ei.attackedBy[Them][0] & ei.attackedBy[Us][KING];
673 undefended &= ~( ei.attackedBy[Us][PAWN] | ei.attackedBy[Us][KNIGHT]
674 | ei.attackedBy[Us][BISHOP] | ei.attackedBy[Us][ROOK]
675 | ei.attackedBy[Us][QUEEN]);
677 // Initialize the 'attackUnits' variable, which is used later on as an
678 // index to the KingDangerTable[] array. The initial value is based on
679 // the number and types of the enemy's attacking pieces, the number of
680 // attacked and undefended squares around our king, the square of the
681 // king, and the quality of the pawn shelter.
682 attackUnits = Min(25, (ei.kingAttackersCount[Them] * ei.kingAttackersWeight[Them]) / 2)
683 + 3 * (ei.kingAdjacentZoneAttacksCount[Them] + count_1s<Max15>(undefended))
684 + InitKingDanger[relative_square(Us, ksq)]
685 - mg_value(ei.pi->king_shelter<Us>(pos, ksq)) / 32;
687 // Analyse enemy's safe queen contact checks. First find undefended
688 // squares around the king attacked by enemy queen...
689 b = undefended & ei.attackedBy[Them][QUEEN] & ~pos.pieces_of_color(Them);
692 // ...then remove squares not supported by another enemy piece
693 b &= ( ei.attackedBy[Them][PAWN] | ei.attackedBy[Them][KNIGHT]
694 | ei.attackedBy[Them][BISHOP] | ei.attackedBy[Them][ROOK]);
696 attackUnits += QueenContactCheckBonus
698 * (Them == pos.side_to_move() ? 2 : 1);
701 // Analyse enemy's safe rook contact checks. First find undefended
702 // squares around the king attacked by enemy rooks...
703 b = undefended & ei.attackedBy[Them][ROOK] & ~pos.pieces_of_color(Them);
705 // Consider only squares where the enemy rook gives check
706 b &= RookPseudoAttacks[ksq];
710 // ...then remove squares not supported by another enemy piece
711 b &= ( ei.attackedBy[Them][PAWN] | ei.attackedBy[Them][KNIGHT]
712 | ei.attackedBy[Them][BISHOP] | ei.attackedBy[Them][QUEEN]);
714 attackUnits += RookContactCheckBonus
716 * (Them == pos.side_to_move() ? 2 : 1);
719 // Analyse enemy's safe distance checks for sliders and knights
720 safe = ~(pos.pieces_of_color(Them) | ei.attackedBy[Us][0]);
722 b1 = pos.attacks_from<ROOK>(ksq) & safe;
723 b2 = pos.attacks_from<BISHOP>(ksq) & safe;
725 // Enemy queen safe checks
726 b = (b1 | b2) & ei.attackedBy[Them][QUEEN];
728 attackUnits += QueenCheckBonus * count_1s<Max15>(b);
730 // Enemy rooks safe checks
731 b = b1 & ei.attackedBy[Them][ROOK];
733 attackUnits += RookCheckBonus * count_1s<Max15>(b);
735 // Enemy bishops safe checks
736 b = b2 & ei.attackedBy[Them][BISHOP];
738 attackUnits += BishopCheckBonus * count_1s<Max15>(b);
740 // Enemy knights safe checks
741 b = pos.attacks_from<KNIGHT>(ksq) & ei.attackedBy[Them][KNIGHT] & safe;
743 attackUnits += KnightCheckBonus * count_1s<Max15>(b);
745 // To index KingDangerTable[] attackUnits must be in [0, 99] range
746 attackUnits = Min(99, Max(0, attackUnits));
748 // Finally, extract the king danger score from the KingDangerTable[]
749 // array and subtract the score from evaluation. Set also margins[]
750 // value that will be used for pruning because this value can sometimes
751 // be very big, and so capturing a single attacking piece can therefore
752 // result in a score change far bigger than the value of the captured piece.
753 bonus -= KingDangerTable[Us][attackUnits];
754 if (pos.side_to_move() == Us)
755 margin += mg_value(KingDangerTable[Us][attackUnits]);
761 // evaluate_passed_pawns<>() evaluates the passed pawns of the given color
764 Score evaluate_passed_pawns(const Position& pos, EvalInfo& ei) {
766 const Color Them = (Us == WHITE ? BLACK : WHITE);
768 Score bonus = SCORE_ZERO;
769 Bitboard squaresToQueen, defendedSquares, unsafeSquares, supportingPawns;
770 Bitboard b = ei.pi->passed_pawns(Us);
776 Square s = pop_1st_bit(&b);
778 assert(pos.pawn_is_passed(Us, s));
780 int r = int(relative_rank(Us, s) - RANK_2);
781 int rr = r * (r - 1);
783 // Base bonus based on rank
784 Value mbonus = Value(20 * rr);
785 Value ebonus = Value(10 * (rr + r + 1));
789 Square blockSq = s + pawn_push(Us);
791 // Adjust bonus based on kings proximity
792 ebonus -= Value(square_distance(pos.king_square(Us), blockSq) * 3 * rr);
793 ebonus -= Value(square_distance(pos.king_square(Us), blockSq + pawn_push(Us)) * rr);
794 ebonus += Value(square_distance(pos.king_square(Them), blockSq) * 6 * rr);
796 // If the pawn is free to advance, increase bonus
797 if (pos.square_is_empty(blockSq))
799 squaresToQueen = squares_in_front_of(Us, s);
800 defendedSquares = squaresToQueen & ei.attackedBy[Us][0];
802 // If there is an enemy rook or queen attacking the pawn from behind,
803 // add all X-ray attacks by the rook or queen. Otherwise consider only
804 // the squares in the pawn's path attacked or occupied by the enemy.
805 if ( (squares_behind(Us, s) & pos.pieces(ROOK, QUEEN, Them))
806 && (squares_behind(Us, s) & pos.pieces(ROOK, QUEEN, Them) & pos.attacks_from<ROOK>(s)))
807 unsafeSquares = squaresToQueen;
809 unsafeSquares = squaresToQueen & (ei.attackedBy[Them][0] | pos.pieces_of_color(Them));
811 // If there aren't enemy attacks or pieces along the path to queen give
812 // huge bonus. Even bigger if we protect the pawn's path.
814 ebonus += Value(rr * (squaresToQueen == defendedSquares ? 17 : 15));
816 // OK, there are enemy attacks or pieces (but not pawns). Are those
817 // squares which are attacked by the enemy also attacked by us ?
818 // If yes, big bonus (but smaller than when there are no enemy attacks),
819 // if no, somewhat smaller bonus.
820 ebonus += Value(rr * ((unsafeSquares & defendedSquares) == unsafeSquares ? 13 : 8));
822 // At last, add a small bonus when there are no *friendly* pieces
823 // in the pawn's path.
824 if (!(squaresToQueen & pos.pieces_of_color(Us)))
829 // Increase the bonus if the passed pawn is supported by a friendly pawn
830 // on the same rank and a bit smaller if it's on the previous rank.
831 supportingPawns = pos.pieces(PAWN, Us) & neighboring_files_bb(s);
832 if (supportingPawns & rank_bb(s))
833 ebonus += Value(r * 20);
834 else if (supportingPawns & rank_bb(s - pawn_push(Us)))
835 ebonus += Value(r * 12);
837 // Rook pawns are a special case: They are sometimes worse, and
838 // sometimes better than other passed pawns. It is difficult to find
839 // good rules for determining whether they are good or bad. For now,
840 // we try the following: Increase the value for rook pawns if the
841 // other side has no pieces apart from a knight, and decrease the
842 // value if the other side has a rook or queen.
843 if (square_file(s) == FILE_A || square_file(s) == FILE_H)
845 if (pos.non_pawn_material(Them) <= KnightValueMidgame)
846 ebonus += ebonus / 4;
847 else if (pos.pieces(ROOK, QUEEN, Them))
848 ebonus -= ebonus / 4;
850 bonus += make_score(mbonus, ebonus);
854 // Add the scores to the middle game and endgame eval
855 return apply_weight(bonus, Weights[PassedPawns]);
859 // evaluate_space() computes the space evaluation for a given side. The
860 // space evaluation is a simple bonus based on the number of safe squares
861 // available for minor pieces on the central four files on ranks 2--4. Safe
862 // squares one, two or three squares behind a friendly pawn are counted
863 // twice. Finally, the space bonus is scaled by a weight taken from the
864 // material hash table. The aim is to improve play on game opening.
865 template<Color Us, bool HasPopCnt>
866 int evaluate_space(const Position& pos, EvalInfo& ei) {
868 const BitCountType Max15 = HasPopCnt ? CNT_POPCNT : CpuIs64Bit ? CNT64_MAX15 : CNT32_MAX15;
869 const Color Them = (Us == WHITE ? BLACK : WHITE);
871 // Find the safe squares for our pieces inside the area defined by
872 // SpaceMask[]. A square is unsafe if it is attacked by an enemy
873 // pawn, or if it is undefended and attacked by an enemy piece.
874 Bitboard safe = SpaceMask[Us]
875 & ~pos.pieces(PAWN, Us)
876 & ~ei.attackedBy[Them][PAWN]
877 & (ei.attackedBy[Us][0] | ~ei.attackedBy[Them][0]);
879 // Find all squares which are at most three squares behind some friendly pawn
880 Bitboard behind = pos.pieces(PAWN, Us);
881 behind |= (Us == WHITE ? behind >> 8 : behind << 8);
882 behind |= (Us == WHITE ? behind >> 16 : behind << 16);
884 return count_1s<Max15>(safe) + count_1s<Max15>(behind & safe);
888 // apply_weight() applies an evaluation weight to a value trying to prevent overflow
890 inline Score apply_weight(Score v, Score w) {
891 return make_score((int(mg_value(v)) * mg_value(w)) / 0x100,
892 (int(eg_value(v)) * eg_value(w)) / 0x100);
896 // scale_by_game_phase() interpolates between a middle game and an endgame score,
897 // based on game phase. It also scales the return value by a ScaleFactor array.
899 Value scale_by_game_phase(const Score& v, Phase ph, ScaleFactor sf) {
901 assert(mg_value(v) > -VALUE_INFINITE && mg_value(v) < VALUE_INFINITE);
902 assert(eg_value(v) > -VALUE_INFINITE && eg_value(v) < VALUE_INFINITE);
903 assert(ph >= PHASE_ENDGAME && ph <= PHASE_MIDGAME);
905 Value eg = eg_value(v);
906 Value ev = Value((eg * int(sf)) / SCALE_FACTOR_NORMAL);
908 int result = (mg_value(v) * int(ph) + ev * int(128 - ph)) / 128;
909 return Value(result & ~(GrainSize - 1));
913 // weight_option() computes the value of an evaluation weight, by combining
914 // two UCI-configurable weights (midgame and endgame) with an internal weight.
916 Score weight_option(const std::string& mgOpt, const std::string& egOpt, Score internalWeight) {
918 // Scale option value from 100 to 256
919 int mg = get_option_value_int(mgOpt) * 256 / 100;
920 int eg = get_option_value_int(egOpt) * 256 / 100;
922 return apply_weight(make_score(mg, eg), internalWeight);
926 // init_safety() initizes the king safety evaluation, based on UCI
927 // parameters. It is called from read_weights().
931 const Value MaxSlope = Value(30);
932 const Value Peak = Value(1280);
935 // First setup the base table
936 for (int i = 0; i < 100; i++)
938 t[i] = Value(int(0.4 * i * i));
941 t[i] = Min(t[i], t[i - 1] + MaxSlope);
943 t[i] = Min(t[i], Peak);
946 // Then apply the weights and get the final KingDangerTable[] array
947 for (Color c = WHITE; c <= BLACK; c++)
948 for (int i = 0; i < 100; i++)
949 KingDangerTable[c][i] = apply_weight(make_score(t[i], 0), Weights[KingDangerUs + c]);