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/>.
40 #include "ucioption.h"
48 // Set to true to force running with one thread. Used for debugging
49 const bool FakeSplit = false;
51 // Different node types, used as template parameter
52 enum NodeType { Root, PV, NonPV, SplitPointRoot, SplitPointPV, SplitPointNonPV };
54 // RootMove struct is used for moves at the root of the tree. For each root
55 // move, we store a score, a node count, and a PV (really a refutation
56 // in the case of moves which fail low). Score is normally set at
57 // -VALUE_INFINITE for all non-pv moves.
60 // RootMove::operator<() is the comparison function used when
61 // sorting the moves. A move m1 is considered to be better
62 // than a move m2 if it has an higher score
63 bool operator<(const RootMove& m) const { return score < m.score; }
65 void extract_pv_from_tt(Position& pos);
66 void insert_pv_in_tt(Position& pos);
74 // RootMoveList struct is mainly a std::vector of RootMove objects
75 struct RootMoveList : public std::vector<RootMove> {
77 void init(Position& pos, Move searchMoves[]);
78 RootMove* find(const Move& m, int startIndex = 0);
86 // Lookup table to check if a Piece is a slider and its access function
87 const bool Slidings[18] = { 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1 };
88 inline bool piece_is_slider(Piece p) { return Slidings[p]; }
92 // Maximum depth for razoring
93 const Depth RazorDepth = 4 * ONE_PLY;
95 // Dynamic razoring margin based on depth
96 inline Value razor_margin(Depth d) { return Value(0x200 + 0x10 * int(d)); }
98 // Maximum depth for use of dynamic threat detection when null move fails low
99 const Depth ThreatDepth = 5 * ONE_PLY;
101 // Step 9. Internal iterative deepening
103 // Minimum depth for use of internal iterative deepening
104 const Depth IIDDepth[] = { 8 * ONE_PLY, 5 * ONE_PLY };
106 // At Non-PV nodes we do an internal iterative deepening search
107 // when the static evaluation is bigger then beta - IIDMargin.
108 const Value IIDMargin = Value(0x100);
110 // Step 11. Decide the new search depth
112 // Extensions. Array index 0 is used for non-PV nodes, index 1 for PV nodes
113 const Depth CheckExtension[] = { ONE_PLY / 2, ONE_PLY / 1 };
114 const Depth PawnEndgameExtension[] = { ONE_PLY / 1, ONE_PLY / 1 };
115 const Depth PawnPushTo7thExtension[] = { ONE_PLY / 2, ONE_PLY / 2 };
116 const Depth PassedPawnExtension[] = { DEPTH_ZERO, ONE_PLY / 2 };
118 // Minimum depth for use of singular extension
119 const Depth SingularExtensionDepth[] = { 8 * ONE_PLY, 6 * ONE_PLY };
121 // Step 12. Futility pruning
123 // Futility margin for quiescence search
124 const Value FutilityMarginQS = Value(0x80);
126 // Futility lookup tables (initialized at startup) and their access functions
127 Value FutilityMargins[16][64]; // [depth][moveNumber]
128 int FutilityMoveCounts[32]; // [depth]
130 inline Value futility_margin(Depth d, int mn) {
132 return d < 7 * ONE_PLY ? FutilityMargins[std::max(int(d), 1)][std::min(mn, 63)]
133 : 2 * VALUE_INFINITE;
136 inline int futility_move_count(Depth d) {
138 return d < 16 * ONE_PLY ? FutilityMoveCounts[d] : MAX_MOVES;
141 // Step 14. Reduced search
143 // Reduction lookup tables (initialized at startup) and their access function
144 int8_t Reductions[2][64][64]; // [pv][depth][moveNumber]
146 template <bool PvNode> inline Depth reduction(Depth d, int mn) {
148 return (Depth) Reductions[PvNode][std::min(int(d) / ONE_PLY, 63)][std::min(mn, 63)];
151 // Easy move margin. An easy move candidate must be at least this much
152 // better than the second best move.
153 const Value EasyMoveMargin = Value(0x150);
156 /// Namespace variables
162 int MultiPV, UCIMultiPV, MultiPVIdx;
164 // Time management variables
165 volatile bool StopOnPonderhit, FirstRootMove, StopRequest, QuitRequest, AspirationFailLow;
169 // Skill level adjustment
171 bool SkillLevelEnabled;
179 Move id_loop(Position& pos, Move searchMoves[], Move* ponderMove);
181 template <NodeType NT>
182 Value search(Position& pos, SearchStack* ss, Value alpha, Value beta, Depth depth);
184 template <NodeType NT>
185 Value qsearch(Position& pos, SearchStack* ss, Value alpha, Value beta, Depth depth);
187 bool check_is_dangerous(Position &pos, Move move, Value futilityBase, Value beta, Value *bValue);
188 bool connected_moves(const Position& pos, Move m1, Move m2);
189 Value value_to_tt(Value v, int ply);
190 Value value_from_tt(Value v, int ply);
191 bool can_return_tt(const TTEntry* tte, Depth depth, Value beta, int ply);
192 bool connected_threat(const Position& pos, Move m, Move threat);
193 Value refine_eval(const TTEntry* tte, Value defaultEval, int ply);
194 void update_history(const Position& pos, Move move, Depth depth, Move movesSearched[], int moveCount);
195 void do_skill_level(Move* best, Move* ponder);
197 int elapsed_search_time(int set = 0);
198 string score_to_uci(Value v, Value alpha = -VALUE_INFINITE, Value beta = VALUE_INFINITE);
199 string speed_to_uci(int64_t nodes);
200 string pv_to_uci(const Move pv[], int pvNum, bool chess960);
201 string pretty_pv(Position& pos, int depth, Value score, int time, Move pv[]);
202 string depth_to_uci(Depth depth);
203 void wait_for_stop_or_ponderhit();
205 // MovePickerExt template class extends MovePicker and allows to choose at compile
206 // time the proper moves source according to the type of node. In the default case
207 // we simply create and use a standard MovePicker object.
208 template<bool SpNode> struct MovePickerExt : public MovePicker {
210 MovePickerExt(const Position& p, Move ttm, Depth d, const History& h, SearchStack* ss, Value b)
211 : MovePicker(p, ttm, d, h, ss, b) {}
214 // In case of a SpNode we use split point's shared MovePicker object as moves source
215 template<> struct MovePickerExt<true> : public MovePicker {
217 MovePickerExt(const Position& p, Move ttm, Depth d, const History& h, SearchStack* ss, Value b)
218 : MovePicker(p, ttm, d, h, ss, b), mp(ss->sp->mp) {}
220 Move get_next_move() { return mp->get_next_move(); }
224 // Overload operator<<() to make it easier to print moves in a coordinate
225 // notation compatible with UCI protocol.
226 std::ostream& operator<<(std::ostream& os, Move m) {
228 bool chess960 = (os.iword(0) != 0); // See set960()
229 return os << move_to_uci(m, chess960);
232 // When formatting a move for std::cout we must know if we are in Chess960
233 // or not. To keep using the handy operator<<() on the move the trick is to
234 // embed this flag in the stream itself. Function-like named enum set960 is
235 // used as a custom manipulator and the stream internal general-purpose array,
236 // accessed through ios_base::iword(), is used to pass the flag to the move's
237 // operator<<() that will read it to properly format castling moves.
240 std::ostream& operator<< (std::ostream& os, const set960& f) {
242 os.iword(0) = int(f);
246 // extension() decides whether a move should be searched with normal depth,
247 // or with extended depth. Certain classes of moves (checking moves, in
248 // particular) are searched with bigger depth than ordinary moves and in
249 // any case are marked as 'dangerous'. Note that also if a move is not
250 // extended, as example because the corresponding UCI option is set to zero,
251 // the move is marked as 'dangerous' so, at least, we avoid to prune it.
252 template <bool PvNode>
253 FORCE_INLINE Depth extension(const Position& pos, Move m, bool captureOrPromotion,
254 bool moveIsCheck, bool* dangerous) {
255 assert(m != MOVE_NONE);
257 Depth result = DEPTH_ZERO;
258 *dangerous = moveIsCheck;
260 if (moveIsCheck && pos.see_sign(m) >= 0)
261 result += CheckExtension[PvNode];
263 if (type_of(pos.piece_on(move_from(m))) == PAWN)
265 Color c = pos.side_to_move();
266 if (relative_rank(c, move_to(m)) == RANK_7)
268 result += PawnPushTo7thExtension[PvNode];
271 if (pos.pawn_is_passed(c, move_to(m)))
273 result += PassedPawnExtension[PvNode];
278 if ( captureOrPromotion
279 && type_of(pos.piece_on(move_to(m))) != PAWN
280 && ( pos.non_pawn_material(WHITE) + pos.non_pawn_material(BLACK)
281 - PieceValueMidgame[pos.piece_on(move_to(m))] == VALUE_ZERO)
284 result += PawnEndgameExtension[PvNode];
288 return std::min(result, ONE_PLY);
294 /// init_search() is called during startup to initialize various lookup tables
298 int d; // depth (ONE_PLY == 2)
299 int hd; // half depth (ONE_PLY == 1)
302 // Init reductions array
303 for (hd = 1; hd < 64; hd++) for (mc = 1; mc < 64; mc++)
305 double pvRed = log(double(hd)) * log(double(mc)) / 3.0;
306 double nonPVRed = 0.33 + log(double(hd)) * log(double(mc)) / 2.25;
307 Reductions[1][hd][mc] = (int8_t) ( pvRed >= 1.0 ? floor( pvRed * int(ONE_PLY)) : 0);
308 Reductions[0][hd][mc] = (int8_t) (nonPVRed >= 1.0 ? floor(nonPVRed * int(ONE_PLY)) : 0);
311 // Init futility margins array
312 for (d = 1; d < 16; d++) for (mc = 0; mc < 64; mc++)
313 FutilityMargins[d][mc] = Value(112 * int(log(double(d * d) / 2) / log(2.0) + 1.001) - 8 * mc + 45);
315 // Init futility move count array
316 for (d = 0; d < 32; d++)
317 FutilityMoveCounts[d] = int(3.001 + 0.25 * pow(d, 2.0));
321 /// perft() is our utility to verify move generation. All the leaf nodes up to
322 /// the given depth are generated and counted and the sum returned.
324 int64_t perft(Position& pos, Depth depth) {
329 // Generate all legal moves
330 MoveList<MV_LEGAL> ml(pos);
332 // If we are at the last ply we don't need to do and undo
333 // the moves, just to count them.
334 if (depth <= ONE_PLY)
337 // Loop through all legal moves
339 for ( ; !ml.end(); ++ml)
341 pos.do_move(ml.move(), st, ci, pos.move_gives_check(ml.move(), ci));
342 sum += perft(pos, depth - ONE_PLY);
343 pos.undo_move(ml.move());
349 /// think() is the external interface to Stockfish's search, and is called when
350 /// the program receives the UCI 'go' command. It initializes various global
351 /// variables, and calls id_loop(). It returns false when a "quit" command is
352 /// received during the search.
354 bool think(Position& pos, const SearchLimits& limits, Move searchMoves[]) {
356 static Book book; // Defined static to initialize the PRNG only once
358 // Save "search start" time and reset elapsed time to zero
359 elapsed_search_time(get_system_time());
361 // Initialize global search-related variables
362 StopOnPonderhit = StopRequest = QuitRequest = AspirationFailLow = false;
365 // Set output stream mode: normal or chess960. Castling notation is different
366 cout << set960(pos.is_chess960());
368 // Look for a book move
369 if (Options["OwnBook"].value<bool>())
371 if (Options["Book File"].value<string>() != book.name())
372 book.open(Options["Book File"].value<string>());
374 Move bookMove = book.probe(pos, Options["Best Book Move"].value<bool>());
375 if (bookMove != MOVE_NONE)
378 wait_for_stop_or_ponderhit();
380 cout << "bestmove " << bookMove << endl;
385 // Read UCI options: GUI could change UCI parameters during the game
386 read_evaluation_uci_options(pos.side_to_move());
387 Threads.read_uci_options();
389 // Set a new TT size if changed
390 TT.set_size(Options["Hash"].value<int>());
392 if (Options["Clear Hash"].value<bool>())
394 Options["Clear Hash"].set_value("false");
398 UCIMultiPV = Options["MultiPV"].value<int>();
399 SkillLevel = Options["Skill Level"].value<int>();
401 // Do we have to play with skill handicap? In this case enable MultiPV that
402 // we will use behind the scenes to retrieve a set of possible moves.
403 SkillLevelEnabled = (SkillLevel < 20);
404 MultiPV = (SkillLevelEnabled ? std::max(UCIMultiPV, 4) : UCIMultiPV);
406 // Write current search header to log file
407 if (Options["Use Search Log"].value<bool>())
409 Log log(Options["Search Log Filename"].value<string>());
410 log << "\nSearching: " << pos.to_fen()
411 << "\ninfinite: " << Limits.infinite
412 << " ponder: " << Limits.ponder
413 << " time: " << Limits.time
414 << " increment: " << Limits.increment
415 << " moves to go: " << Limits.movesToGo
419 // Wake up needed threads and reset maxPly counter
420 for (int i = 0; i < Threads.size(); i++)
422 Threads[i].maxPly = 0;
423 Threads[i].wake_up();
426 // Set best timer interval to avoid lagging under time pressure. Timer is
427 // used to check for remaining available thinking time.
428 TimeMgr.init(Limits, pos.startpos_ply_counter());
430 if (TimeMgr.available_time())
431 Threads.set_timer(std::min(100, std::max(TimeMgr.available_time() / 8, 20)));
433 Threads.set_timer(100);
435 // Start async mode to catch UCI commands sent to us while searching,
436 // like "quit", "stop", etc.
437 Threads.start_listener();
439 // We're ready to start thinking. Call the iterative deepening loop function
440 Move ponderMove = MOVE_NONE;
441 Move bestMove = id_loop(pos, searchMoves, &ponderMove);
443 // From now on any UCI command will be read in-sync with Threads.getline()
444 Threads.stop_listener();
446 // Stop timer, no need to check for available time any more
447 Threads.set_timer(0);
449 // This makes all the slave threads to go to sleep, if not already sleeping
452 // Write current search final statistics to log file
453 if (Options["Use Search Log"].value<bool>())
455 int e = elapsed_search_time();
457 Log log(Options["Search Log Filename"].value<string>());
458 log << "Nodes: " << pos.nodes_searched()
459 << "\nNodes/second: " << (e > 0 ? pos.nodes_searched() * 1000 / e : 0)
460 << "\nBest move: " << move_to_san(pos, bestMove);
463 pos.do_move(bestMove, st);
464 log << "\nPonder move: " << move_to_san(pos, ponderMove) << endl;
465 pos.undo_move(bestMove); // Return from think() with unchanged position
468 // When we reach max depth we arrive here even without a StopRequest, but if
469 // we are pondering or in infinite search, we shouldn't print the best move
470 // before we are told to do so.
471 if (!StopRequest && (Limits.ponder || Limits.infinite))
472 wait_for_stop_or_ponderhit();
474 // Could be MOVE_NONE when searching on a stalemate position
475 cout << "bestmove " << bestMove;
477 // UCI protol is not clear on allowing sending an empty ponder move, instead
478 // it is clear that ponder move is optional. So skip it if empty.
479 if (ponderMove != MOVE_NONE)
480 cout << " ponder " << ponderMove;
490 // id_loop() is the main iterative deepening loop. It calls search() repeatedly
491 // with increasing depth until the allocated thinking time has been consumed,
492 // user stops the search, or the maximum search depth is reached.
494 Move id_loop(Position& pos, Move searchMoves[], Move* ponderMove) {
496 SearchStack ss[PLY_MAX_PLUS_2];
497 Value bestValues[PLY_MAX_PLUS_2];
498 int bestMoveChanges[PLY_MAX_PLUS_2];
499 int depth, aspirationDelta;
500 Value bestValue, alpha, beta;
501 Move bestMove, skillBest, skillPonder;
502 bool bestMoveNeverChanged = true;
504 // Initialize stuff before a new search
505 memset(ss, 0, 4 * sizeof(SearchStack));
508 *ponderMove = bestMove = skillBest = skillPonder = MOVE_NONE;
509 depth = aspirationDelta = 0;
510 bestValue = alpha = -VALUE_INFINITE, beta = VALUE_INFINITE;
511 ss->currentMove = MOVE_NULL; // Hack to skip update gains
513 // Moves to search are verified and copied
514 Rml.init(pos, searchMoves);
516 // Handle special case of searching on a mate/stalemate position
519 cout << "info" << depth_to_uci(DEPTH_ZERO)
520 << score_to_uci(pos.in_check() ? -VALUE_MATE : VALUE_DRAW, alpha, beta) << endl;
525 // Iterative deepening loop until requested to stop or target depth reached
526 while (!StopRequest && ++depth <= PLY_MAX && (!Limits.maxDepth || depth <= Limits.maxDepth))
528 // Save now last iteration's scores, before Rml moves are reordered
529 for (size_t i = 0; i < Rml.size(); i++)
530 Rml[i].prevScore = Rml[i].score;
532 Rml.bestMoveChanges = 0;
534 // MultiPV loop. We perform a full root search for each PV line
535 for (MultiPVIdx = 0; MultiPVIdx < std::min(MultiPV, (int)Rml.size()); MultiPVIdx++)
537 // Calculate dynamic aspiration window based on previous iterations
538 if (depth >= 5 && abs(Rml[MultiPVIdx].prevScore) < VALUE_KNOWN_WIN)
540 int prevDelta1 = bestValues[depth - 1] - bestValues[depth - 2];
541 int prevDelta2 = bestValues[depth - 2] - bestValues[depth - 3];
543 aspirationDelta = std::min(std::max(abs(prevDelta1) + abs(prevDelta2) / 2, 16), 24);
544 aspirationDelta = (aspirationDelta + 7) / 8 * 8; // Round to match grainSize
546 alpha = std::max(Rml[MultiPVIdx].prevScore - aspirationDelta, -VALUE_INFINITE);
547 beta = std::min(Rml[MultiPVIdx].prevScore + aspirationDelta, VALUE_INFINITE);
551 alpha = -VALUE_INFINITE;
552 beta = VALUE_INFINITE;
555 // Start with a small aspiration window and, in case of fail high/low,
556 // research with bigger window until not failing high/low anymore.
558 // Search starts from ss+1 to allow referencing (ss-1). This is
559 // needed by update gains and ss copy when splitting at Root.
560 bestValue = search<Root>(pos, ss+1, alpha, beta, depth * ONE_PLY);
562 // Bring to front the best move. It is critical that sorting is
563 // done with a stable algorithm because all the values but the first
564 // and eventually the new best one are set to -VALUE_INFINITE and
565 // we want to keep the same order for all the moves but the new
566 // PV that goes to the front. Note that in case of MultiPV search
567 // the already searched PV lines are preserved.
568 sort<RootMove>(Rml.begin() + MultiPVIdx, Rml.end());
570 // In case we have found an exact score and we are going to leave
571 // the fail high/low loop then reorder the PV moves, otherwise
572 // leave the last PV move in its position so to be searched again.
573 // Of course this is needed only in MultiPV search.
574 if (MultiPVIdx && bestValue > alpha && bestValue < beta)
575 sort<RootMove>(Rml.begin(), Rml.begin() + MultiPVIdx);
577 // Write PV back to transposition table in case the relevant entries
578 // have been overwritten during the search.
579 for (int i = 0; i <= MultiPVIdx; i++)
580 Rml[i].insert_pv_in_tt(pos);
582 // If search has been stopped exit the aspiration window loop,
583 // note that sorting and writing PV back to TT is safe becuase
584 // Rml is still valid, although refers to the previous iteration.
588 // Send full PV info to GUI if we are going to leave the loop or
589 // if we have a fail high/low and we are deep in the search. UCI
590 // protocol requires to send all the PV lines also if are still
591 // to be searched and so refer to the previous search's score.
592 if ((bestValue > alpha && bestValue < beta) || elapsed_search_time() > 2000)
593 for (int i = 0; i < std::min(UCIMultiPV, (int)Rml.size()); i++)
595 bool updated = (i <= MultiPVIdx);
597 if (depth == 1 && !updated)
600 Depth d = (updated ? depth : depth - 1) * ONE_PLY;
601 Value s = (updated ? Rml[i].score : Rml[i].prevScore);
605 << (i == MultiPVIdx ? score_to_uci(s, alpha, beta) : score_to_uci(s))
606 << speed_to_uci(pos.nodes_searched())
607 << pv_to_uci(&Rml[i].pv[0], i + 1, pos.is_chess960())
611 // In case of failing high/low increase aspiration window and
612 // research, otherwise exit the fail high/low loop.
613 if (bestValue >= beta)
615 beta = std::min(beta + aspirationDelta, VALUE_INFINITE);
616 aspirationDelta += aspirationDelta / 2;
618 else if (bestValue <= alpha)
620 AspirationFailLow = true;
621 StopOnPonderhit = false;
623 alpha = std::max(alpha - aspirationDelta, -VALUE_INFINITE);
624 aspirationDelta += aspirationDelta / 2;
629 } while (abs(bestValue) < VALUE_KNOWN_WIN);
632 // Collect info about search result
633 bestMove = Rml[0].pv[0];
634 *ponderMove = Rml[0].pv[1];
635 bestValues[depth] = bestValue;
636 bestMoveChanges[depth] = Rml.bestMoveChanges;
638 // Skills: Do we need to pick now the best and the ponder moves ?
639 if (SkillLevelEnabled && depth == 1 + SkillLevel)
640 do_skill_level(&skillBest, &skillPonder);
642 if (Options["Use Search Log"].value<bool>())
644 Log log(Options["Search Log Filename"].value<string>());
645 log << pretty_pv(pos, depth, bestValue, elapsed_search_time(), &Rml[0].pv[0]) << endl;
648 // Filter out startup noise when monitoring best move stability
649 if (depth > 2 && bestMoveChanges[depth])
650 bestMoveNeverChanged = false;
652 // Do we have time for the next iteration? Can we stop searching now?
653 if (!StopRequest && !StopOnPonderhit && Limits.useTimeManagement())
655 // Take in account some extra time if the best move has changed
656 if (depth > 4 && depth < 50)
657 TimeMgr.pv_instability(bestMoveChanges[depth], bestMoveChanges[depth - 1]);
659 // Stop search if most of available time is already consumed. We probably don't
660 // have enough time to search the first move at the next iteration anyway.
661 if (elapsed_search_time() > (TimeMgr.available_time() * 62) / 100)
664 // Stop search early if one move seems to be much better than others
667 && ( bestMoveNeverChanged
668 || elapsed_search_time() > (TimeMgr.available_time() * 40) / 100))
670 Value rBeta = bestValue - EasyMoveMargin;
671 (ss+1)->excludedMove = bestMove;
672 (ss+1)->skipNullMove = true;
673 Value v = search<NonPV>(pos, ss+1, rBeta - 1, rBeta, (depth * ONE_PLY) / 2);
674 (ss+1)->skipNullMove = false;
675 (ss+1)->excludedMove = MOVE_NONE;
681 // If we are allowed to ponder do not stop the search now but keep pondering
682 if (StopRequest && Limits.ponder) // FIXME Limits.ponder is racy
685 StopOnPonderhit = true;
690 // When using skills overwrite best and ponder moves with the sub-optimal ones
691 if (SkillLevelEnabled)
693 if (skillBest == MOVE_NONE) // Still unassigned ?
694 do_skill_level(&skillBest, &skillPonder);
696 bestMove = skillBest;
697 *ponderMove = skillPonder;
704 // search<>() is the main search function for both PV and non-PV nodes and for
705 // normal and SplitPoint nodes. When called just after a split point the search
706 // is simpler because we have already probed the hash table, done a null move
707 // search, and searched the first move before splitting, we don't have to repeat
708 // all this work again. We also don't need to store anything to the hash table
709 // here: This is taken care of after we return from the split point.
711 template <NodeType NT>
712 Value search(Position& pos, SearchStack* ss, Value alpha, Value beta, Depth depth) {
714 const bool PvNode = (NT == PV || NT == Root || NT == SplitPointPV || NT == SplitPointRoot);
715 const bool SpNode = (NT == SplitPointPV || NT == SplitPointNonPV || NT == SplitPointRoot);
716 const bool RootNode = (NT == Root || NT == SplitPointRoot);
718 assert(alpha >= -VALUE_INFINITE && alpha <= VALUE_INFINITE);
719 assert(beta > alpha && beta <= VALUE_INFINITE);
720 assert(PvNode || alpha == beta - 1);
721 assert(pos.thread() >= 0 && pos.thread() < Threads.size());
723 Move movesSearched[MAX_MOVES];
728 Move ttMove, move, excludedMove, threatMove;
731 Value bestValue, value, oldAlpha;
732 Value refinedValue, nullValue, futilityBase, futilityValue;
733 bool isPvMove, inCheck, singularExtensionNode, givesCheck;
734 bool captureOrPromotion, dangerous, doFullDepthSearch;
735 int moveCount = 0, playedMoveCount = 0;
736 Thread& thread = Threads[pos.thread()];
737 SplitPoint* sp = NULL;
739 refinedValue = bestValue = value = -VALUE_INFINITE;
741 inCheck = pos.in_check();
742 ss->ply = (ss-1)->ply + 1;
744 // Used to send selDepth info to GUI
745 if (PvNode && thread.maxPly < ss->ply)
746 thread.maxPly = ss->ply;
748 // Step 1. Initialize node
751 ss->currentMove = ss->bestMove = threatMove = (ss+1)->excludedMove = MOVE_NONE;
752 (ss+1)->skipNullMove = false; (ss+1)->reduction = DEPTH_ZERO;
753 (ss+2)->killers[0] = (ss+2)->killers[1] = MOVE_NONE;
759 ttMove = excludedMove = MOVE_NONE;
760 threatMove = sp->threatMove;
761 goto split_point_start;
764 // Step 2. Check for aborted search and immediate draw
766 || pos.is_draw<false>()
767 || ss->ply > PLY_MAX) && !RootNode)
770 // Step 3. Mate distance pruning
773 alpha = std::max(value_mated_in(ss->ply), alpha);
774 beta = std::min(value_mate_in(ss->ply+1), beta);
779 // Step 4. Transposition table lookup
780 // We don't want the score of a partial search to overwrite a previous full search
781 // TT value, so we use a different position key in case of an excluded move.
782 excludedMove = ss->excludedMove;
783 posKey = excludedMove ? pos.get_exclusion_key() : pos.get_key();
784 tte = TT.probe(posKey);
785 ttMove = RootNode ? Rml[MultiPVIdx].pv[0] : tte ? tte->move() : MOVE_NONE;
787 // At PV nodes we check for exact scores, while at non-PV nodes we check for
788 // a fail high/low. Biggest advantage at probing at PV nodes is to have a
789 // smooth experience in analysis mode. We don't probe at Root nodes otherwise
790 // we should also update RootMoveList to avoid bogus output.
791 if (!RootNode && tte && (PvNode ? tte->depth() >= depth && tte->type() == VALUE_TYPE_EXACT
792 : can_return_tt(tte, depth, beta, ss->ply)))
795 ss->bestMove = move = ttMove; // Can be MOVE_NONE
796 value = value_from_tt(tte->value(), ss->ply);
800 && !pos.is_capture_or_promotion(move)
801 && move != ss->killers[0])
803 ss->killers[1] = ss->killers[0];
804 ss->killers[0] = move;
809 // Step 5. Evaluate the position statically and update parent's gain statistics
811 ss->eval = ss->evalMargin = VALUE_NONE;
814 assert(tte->static_value() != VALUE_NONE);
816 ss->eval = tte->static_value();
817 ss->evalMargin = tte->static_value_margin();
818 refinedValue = refine_eval(tte, ss->eval, ss->ply);
822 refinedValue = ss->eval = evaluate(pos, ss->evalMargin);
823 TT.store(posKey, VALUE_NONE, VALUE_TYPE_NONE, DEPTH_NONE, MOVE_NONE, ss->eval, ss->evalMargin);
826 // Update gain for the parent non-capture move given the static position
827 // evaluation before and after the move.
828 if ( (move = (ss-1)->currentMove) != MOVE_NULL
829 && (ss-1)->eval != VALUE_NONE
830 && ss->eval != VALUE_NONE
831 && pos.captured_piece_type() == PIECE_TYPE_NONE
832 && !is_special(move))
834 Square to = move_to(move);
835 H.update_gain(pos.piece_on(to), to, -(ss-1)->eval - ss->eval);
838 // Step 6. Razoring (is omitted in PV nodes)
840 && depth < RazorDepth
842 && refinedValue + razor_margin(depth) < beta
843 && ttMove == MOVE_NONE
844 && abs(beta) < VALUE_MATE_IN_PLY_MAX
845 && !pos.has_pawn_on_7th(pos.side_to_move()))
847 Value rbeta = beta - razor_margin(depth);
848 Value v = qsearch<NonPV>(pos, ss, rbeta-1, rbeta, DEPTH_ZERO);
850 // Logically we should return (v + razor_margin(depth)), but
851 // surprisingly this did slightly weaker in tests.
855 // Step 7. Static null move pruning (is omitted in PV nodes)
856 // We're betting that the opponent doesn't have a move that will reduce
857 // the score by more than futility_margin(depth) if we do a null move.
860 && depth < RazorDepth
862 && refinedValue - futility_margin(depth, 0) >= beta
863 && abs(beta) < VALUE_MATE_IN_PLY_MAX
864 && pos.non_pawn_material(pos.side_to_move()))
865 return refinedValue - futility_margin(depth, 0);
867 // Step 8. Null move search with verification search (is omitted in PV nodes)
872 && refinedValue >= beta
873 && abs(beta) < VALUE_MATE_IN_PLY_MAX
874 && pos.non_pawn_material(pos.side_to_move()))
876 ss->currentMove = MOVE_NULL;
878 // Null move dynamic reduction based on depth
879 int R = 3 + (depth >= 5 * ONE_PLY ? depth / 8 : 0);
881 // Null move dynamic reduction based on value
882 if (refinedValue - PawnValueMidgame > beta)
885 pos.do_null_move<true>(st);
886 (ss+1)->skipNullMove = true;
887 nullValue = depth-R*ONE_PLY < ONE_PLY ? -qsearch<NonPV>(pos, ss+1, -beta, -alpha, DEPTH_ZERO)
888 : - search<NonPV>(pos, ss+1, -beta, -alpha, depth-R*ONE_PLY);
889 (ss+1)->skipNullMove = false;
890 pos.do_null_move<false>(st);
892 if (nullValue >= beta)
894 // Do not return unproven mate scores
895 if (nullValue >= VALUE_MATE_IN_PLY_MAX)
898 if (depth < 6 * ONE_PLY)
901 // Do verification search at high depths
902 ss->skipNullMove = true;
903 Value v = search<NonPV>(pos, ss, alpha, beta, depth-R*ONE_PLY);
904 ss->skipNullMove = false;
911 // The null move failed low, which means that we may be faced with
912 // some kind of threat. If the previous move was reduced, check if
913 // the move that refuted the null move was somehow connected to the
914 // move which was reduced. If a connection is found, return a fail
915 // low score (which will cause the reduced move to fail high in the
916 // parent node, which will trigger a re-search with full depth).
917 threatMove = (ss+1)->bestMove;
919 if ( depth < ThreatDepth
921 && threatMove != MOVE_NONE
922 && connected_moves(pos, (ss-1)->currentMove, threatMove))
927 // Step 9. ProbCut (is omitted in PV nodes)
928 // If we have a very good capture (i.e. SEE > seeValues[captured_piece_type])
929 // and a reduced search returns a value much above beta, we can (almost) safely
930 // prune the previous move.
932 && depth >= RazorDepth + ONE_PLY
935 && excludedMove == MOVE_NONE
936 && abs(beta) < VALUE_MATE_IN_PLY_MAX)
938 Value rbeta = beta + 200;
939 Depth rdepth = depth - ONE_PLY - 3 * ONE_PLY;
941 assert(rdepth >= ONE_PLY);
943 MovePicker mp(pos, ttMove, H, pos.captured_piece_type());
946 while ((move = mp.get_next_move()) != MOVE_NONE)
947 if (pos.pl_move_is_legal(move, ci.pinned))
949 pos.do_move(move, st, ci, pos.move_gives_check(move, ci));
950 value = -search<NonPV>(pos, ss+1, -rbeta, -rbeta+1, rdepth);
957 // Step 10. Internal iterative deepening
958 if ( depth >= IIDDepth[PvNode]
959 && ttMove == MOVE_NONE
960 && (PvNode || (!inCheck && ss->eval + IIDMargin >= beta)))
962 Depth d = (PvNode ? depth - 2 * ONE_PLY : depth / 2);
964 ss->skipNullMove = true;
965 search<PvNode ? PV : NonPV>(pos, ss, alpha, beta, d);
966 ss->skipNullMove = false;
968 tte = TT.probe(posKey);
969 ttMove = tte ? tte->move() : MOVE_NONE;
972 split_point_start: // At split points actual search starts from here
974 // Initialize a MovePicker object for the current position
975 MovePickerExt<SpNode> mp(pos, ttMove, depth, H, ss, PvNode ? -VALUE_INFINITE : beta);
977 ss->bestMove = MOVE_NONE;
978 futilityBase = ss->eval + ss->evalMargin;
979 singularExtensionNode = !RootNode
981 && depth >= SingularExtensionDepth[PvNode]
982 && ttMove != MOVE_NONE
983 && !excludedMove // Do not allow recursive singular extension search
984 && (tte->type() & VALUE_TYPE_LOWER)
985 && tte->depth() >= depth - 3 * ONE_PLY;
988 lock_grab(&(sp->lock));
989 bestValue = sp->bestValue;
992 // Step 11. Loop through moves
993 // Loop through all pseudo-legal moves until no moves remain or a beta cutoff occurs
994 while ( bestValue < beta
995 && (move = mp.get_next_move()) != MOVE_NONE
996 && !thread.cutoff_occurred())
1000 if (move == excludedMove)
1003 // At root obey the "searchmoves" option and skip moves not listed in Root
1004 // Move List, as a consequence any illegal move is also skipped. In MultiPV
1005 // mode we also skip PV moves which have been already searched.
1006 if (RootNode && !Rml.find(move, MultiPVIdx))
1009 // At PV and SpNode nodes we want all moves to be legal since the beginning
1010 if ((PvNode || SpNode) && !pos.pl_move_is_legal(move, ci.pinned))
1015 moveCount = ++sp->moveCount;
1016 lock_release(&(sp->lock));
1023 // This is used by time management
1024 FirstRootMove = (moveCount == 1);
1026 // Save the current node count before the move is searched
1027 nodes = pos.nodes_searched();
1029 // For long searches send current move info to GUI
1030 if (pos.thread() == 0 && elapsed_search_time() > 2000)
1031 cout << "info" << depth_to_uci(depth)
1032 << " currmove " << move
1033 << " currmovenumber " << moveCount + MultiPVIdx << endl;
1036 isPvMove = (PvNode && moveCount <= 1);
1037 givesCheck = pos.move_gives_check(move, ci);
1038 captureOrPromotion = pos.is_capture_or_promotion(move);
1040 // Step 12. Decide the new search depth
1041 ext = extension<PvNode>(pos, move, captureOrPromotion, givesCheck, &dangerous);
1043 // Singular extension search. If all moves but one fail low on a search of
1044 // (alpha-s, beta-s), and just one fails high on (alpha, beta), then that move
1045 // is singular and should be extended. To verify this we do a reduced search
1046 // on all the other moves but the ttMove, if result is lower than ttValue minus
1047 // a margin then we extend ttMove.
1048 if ( singularExtensionNode
1050 && pos.pl_move_is_legal(move, ci.pinned)
1053 Value ttValue = value_from_tt(tte->value(), ss->ply);
1055 if (abs(ttValue) < VALUE_KNOWN_WIN)
1057 Value rBeta = ttValue - int(depth);
1058 ss->excludedMove = move;
1059 ss->skipNullMove = true;
1060 value = search<NonPV>(pos, ss, rBeta - 1, rBeta, depth / 2);
1061 ss->skipNullMove = false;
1062 ss->excludedMove = MOVE_NONE;
1063 ss->bestMove = MOVE_NONE;
1069 // Update current move (this must be done after singular extension search)
1070 newDepth = depth - ONE_PLY + ext;
1072 // Step 13. Futility pruning (is omitted in PV nodes)
1074 && !captureOrPromotion
1078 && !is_castle(move))
1080 // Move count based pruning
1081 if ( moveCount >= futility_move_count(depth)
1082 && (!threatMove || !connected_threat(pos, move, threatMove))
1083 && bestValue > VALUE_MATED_IN_PLY_MAX) // FIXME bestValue is racy
1086 lock_grab(&(sp->lock));
1091 // Value based pruning
1092 // We illogically ignore reduction condition depth >= 3*ONE_PLY for predicted depth,
1093 // but fixing this made program slightly weaker.
1094 Depth predictedDepth = newDepth - reduction<PvNode>(depth, moveCount);
1095 futilityValue = futilityBase + futility_margin(predictedDepth, moveCount)
1096 + H.gain(pos.piece_on(move_from(move)), move_to(move));
1098 if (futilityValue < beta)
1102 lock_grab(&(sp->lock));
1103 if (futilityValue > sp->bestValue)
1104 sp->bestValue = bestValue = futilityValue;
1106 else if (futilityValue > bestValue)
1107 bestValue = futilityValue;
1112 // Prune moves with negative SEE at low depths
1113 if ( predictedDepth < 2 * ONE_PLY
1114 && bestValue > VALUE_MATED_IN_PLY_MAX
1115 && pos.see_sign(move) < 0)
1118 lock_grab(&(sp->lock));
1124 // Check for legality only before to do the move
1125 if (!pos.pl_move_is_legal(move, ci.pinned))
1131 ss->currentMove = move;
1132 if (!SpNode && !captureOrPromotion)
1133 movesSearched[playedMoveCount++] = move;
1135 // Step 14. Make the move
1136 pos.do_move(move, st, ci, givesCheck);
1138 // Step 15. Reduced depth search (LMR). If the move fails high will be
1139 // re-searched at full depth.
1140 if ( depth > 3 * ONE_PLY
1142 && !captureOrPromotion
1145 && ss->killers[0] != move
1146 && ss->killers[1] != move)
1148 ss->reduction = reduction<PvNode>(depth, moveCount);
1149 Depth d = newDepth - ss->reduction;
1150 alpha = SpNode ? sp->alpha : alpha;
1152 value = d < ONE_PLY ? -qsearch<NonPV>(pos, ss+1, -(alpha+1), -alpha, DEPTH_ZERO)
1153 : - search<NonPV>(pos, ss+1, -(alpha+1), -alpha, d);
1155 doFullDepthSearch = (value > alpha && ss->reduction != DEPTH_ZERO);
1156 ss->reduction = DEPTH_ZERO;
1159 doFullDepthSearch = !isPvMove;
1161 // Step 16. Full depth search, when LMR is skipped or fails high
1162 if (doFullDepthSearch)
1164 alpha = SpNode ? sp->alpha : alpha;
1165 value = newDepth < ONE_PLY ? -qsearch<NonPV>(pos, ss+1, -(alpha+1), -alpha, DEPTH_ZERO)
1166 : - search<NonPV>(pos, ss+1, -(alpha+1), -alpha, newDepth);
1169 // Only for PV nodes do a full PV search on the first move or after a fail
1170 // high, in the latter case search only if value < beta, otherwise let the
1171 // parent node to fail low with value <= alpha and to try another move.
1172 if (PvNode && (isPvMove || (value > alpha && (RootNode || value < beta))))
1173 value = newDepth < ONE_PLY ? -qsearch<PV>(pos, ss+1, -beta, -alpha, DEPTH_ZERO)
1174 : - search<PV>(pos, ss+1, -beta, -alpha, newDepth);
1176 // Step 17. Undo move
1177 pos.undo_move(move);
1179 assert(value > -VALUE_INFINITE && value < VALUE_INFINITE);
1181 // Step 18. Check for new best move
1184 lock_grab(&(sp->lock));
1185 bestValue = sp->bestValue;
1189 // Finished searching the move. If StopRequest is true, the search
1190 // was aborted because the user interrupted the search or because we
1191 // ran out of time. In this case, the return value of the search cannot
1192 // be trusted, and we don't update the best move and/or PV.
1193 if (RootNode && !StopRequest)
1195 // Remember searched nodes counts for this move
1196 RootMove* rm = Rml.find(move);
1197 rm->nodes += pos.nodes_searched() - nodes;
1199 // PV move or new best move ?
1200 if (isPvMove || value > alpha)
1204 rm->extract_pv_from_tt(pos);
1206 // We record how often the best move has been changed in each
1207 // iteration. This information is used for time management: When
1208 // the best move changes frequently, we allocate some more time.
1209 if (!isPvMove && MultiPV == 1)
1210 Rml.bestMoveChanges++;
1213 // All other moves but the PV are set to the lowest value, this
1214 // is not a problem when sorting becuase sort is stable and move
1215 // position in the list is preserved, just the PV is pushed up.
1216 rm->score = -VALUE_INFINITE;
1220 if (value > bestValue)
1223 ss->bestMove = move;
1227 && value < beta) // We want always alpha < beta
1230 if (SpNode && !thread.cutoff_occurred())
1232 sp->bestValue = value;
1233 sp->ss->bestMove = move;
1235 sp->is_betaCutoff = (value >= beta);
1239 // Step 19. Check for split
1241 && depth >= Threads.min_split_depth()
1243 && Threads.available_slave_exists(pos.thread())
1245 && !thread.cutoff_occurred())
1246 bestValue = Threads.split<FakeSplit>(pos, ss, alpha, beta, bestValue, depth,
1247 threatMove, moveCount, &mp, NT);
1250 // Step 20. Check for mate and stalemate
1251 // All legal moves have been searched and if there are no legal moves, it
1252 // must be mate or stalemate. Note that we can have a false positive in
1253 // case of StopRequest or thread.cutoff_occurred() are set, but this is
1254 // harmless because return value is discarded anyhow in the parent nodes.
1255 // If we are in a singular extension search then return a fail low score.
1256 if (!SpNode && !moveCount)
1257 return excludedMove ? oldAlpha : inCheck ? value_mated_in(ss->ply) : VALUE_DRAW;
1259 // Step 21. Update tables
1260 // If the search is not aborted, update the transposition table,
1261 // history counters, and killer moves.
1262 if (!SpNode && !StopRequest && !thread.cutoff_occurred())
1264 move = bestValue <= oldAlpha ? MOVE_NONE : ss->bestMove;
1265 vt = bestValue <= oldAlpha ? VALUE_TYPE_UPPER
1266 : bestValue >= beta ? VALUE_TYPE_LOWER : VALUE_TYPE_EXACT;
1268 TT.store(posKey, value_to_tt(bestValue, ss->ply), vt, depth, move, ss->eval, ss->evalMargin);
1270 // Update killers and history only for non capture moves that fails high
1271 if ( bestValue >= beta
1272 && !pos.is_capture_or_promotion(move))
1274 if (move != ss->killers[0])
1276 ss->killers[1] = ss->killers[0];
1277 ss->killers[0] = move;
1279 update_history(pos, move, depth, movesSearched, playedMoveCount);
1285 // Here we have the lock still grabbed
1286 sp->is_slave[pos.thread()] = false;
1287 sp->nodes += pos.nodes_searched();
1288 lock_release(&(sp->lock));
1291 assert(bestValue > -VALUE_INFINITE && bestValue < VALUE_INFINITE);
1296 // qsearch() is the quiescence search function, which is called by the main
1297 // search function when the remaining depth is zero (or, to be more precise,
1298 // less than ONE_PLY).
1300 template <NodeType NT>
1301 Value qsearch(Position& pos, SearchStack* ss, Value alpha, Value beta, Depth depth) {
1303 const bool PvNode = (NT == PV);
1305 assert(NT == PV || NT == NonPV);
1306 assert(alpha >= -VALUE_INFINITE && alpha <= VALUE_INFINITE);
1307 assert(beta >= -VALUE_INFINITE && beta <= VALUE_INFINITE);
1308 assert(PvNode || alpha == beta - 1);
1310 assert(pos.thread() >= 0 && pos.thread() < Threads.size());
1314 Value bestValue, value, evalMargin, futilityValue, futilityBase;
1315 bool inCheck, enoughMaterial, givesCheck, evasionPrunable;
1319 Value oldAlpha = alpha;
1321 ss->bestMove = ss->currentMove = MOVE_NONE;
1322 ss->ply = (ss-1)->ply + 1;
1324 // Check for an instant draw or maximum ply reached
1325 if (pos.is_draw<true>() || ss->ply > PLY_MAX)
1328 // Decide whether or not to include checks, this fixes also the type of
1329 // TT entry depth that we are going to use. Note that in qsearch we use
1330 // only two types of depth in TT: DEPTH_QS_CHECKS or DEPTH_QS_NO_CHECKS.
1331 inCheck = pos.in_check();
1332 ttDepth = (inCheck || depth >= DEPTH_QS_CHECKS ? DEPTH_QS_CHECKS : DEPTH_QS_NO_CHECKS);
1334 // Transposition table lookup. At PV nodes, we don't use the TT for
1335 // pruning, but only for move ordering.
1336 tte = TT.probe(pos.get_key());
1337 ttMove = (tte ? tte->move() : MOVE_NONE);
1339 if (!PvNode && tte && can_return_tt(tte, ttDepth, beta, ss->ply))
1341 ss->bestMove = ttMove; // Can be MOVE_NONE
1342 return value_from_tt(tte->value(), ss->ply);
1345 // Evaluate the position statically
1348 bestValue = futilityBase = -VALUE_INFINITE;
1349 ss->eval = evalMargin = VALUE_NONE;
1350 enoughMaterial = false;
1356 assert(tte->static_value() != VALUE_NONE);
1358 evalMargin = tte->static_value_margin();
1359 ss->eval = bestValue = tte->static_value();
1362 ss->eval = bestValue = evaluate(pos, evalMargin);
1364 // Stand pat. Return immediately if static value is at least beta
1365 if (bestValue >= beta)
1368 TT.store(pos.get_key(), value_to_tt(bestValue, ss->ply), VALUE_TYPE_LOWER, DEPTH_NONE, MOVE_NONE, ss->eval, evalMargin);
1373 if (PvNode && bestValue > alpha)
1376 // Futility pruning parameters, not needed when in check
1377 futilityBase = ss->eval + evalMargin + FutilityMarginQS;
1378 enoughMaterial = pos.non_pawn_material(pos.side_to_move()) > RookValueMidgame;
1381 // Initialize a MovePicker object for the current position, and prepare
1382 // to search the moves. Because the depth is <= 0 here, only captures,
1383 // queen promotions and checks (only if depth >= DEPTH_QS_CHECKS) will
1385 MovePicker mp(pos, ttMove, depth, H, move_to((ss-1)->currentMove));
1388 // Loop through the moves until no moves remain or a beta cutoff occurs
1389 while ( bestValue < beta
1390 && (move = mp.get_next_move()) != MOVE_NONE)
1392 assert(is_ok(move));
1394 givesCheck = pos.move_gives_check(move, ci);
1402 && !is_promotion(move)
1403 && !pos.is_passed_pawn_push(move))
1405 futilityValue = futilityBase
1406 + PieceValueEndgame[pos.piece_on(move_to(move))]
1407 + (is_enpassant(move) ? PawnValueEndgame : VALUE_ZERO);
1409 if (futilityValue < beta)
1411 if (futilityValue > bestValue)
1412 bestValue = futilityValue;
1417 // Prune moves with negative or equal SEE
1418 if ( futilityBase < beta
1419 && depth < DEPTH_ZERO
1420 && pos.see(move) <= 0)
1424 // Detect non-capture evasions that are candidate to be pruned
1425 evasionPrunable = !PvNode
1427 && bestValue > VALUE_MATED_IN_PLY_MAX
1428 && !pos.is_capture(move)
1429 && !pos.can_castle(pos.side_to_move());
1431 // Don't search moves with negative SEE values
1433 && (!inCheck || evasionPrunable)
1435 && !is_promotion(move)
1436 && pos.see_sign(move) < 0)
1439 // Don't search useless checks
1444 && !pos.is_capture_or_promotion(move)
1445 && ss->eval + PawnValueMidgame / 4 < beta
1446 && !check_is_dangerous(pos, move, futilityBase, beta, &bestValue))
1448 if (ss->eval + PawnValueMidgame / 4 > bestValue)
1449 bestValue = ss->eval + PawnValueMidgame / 4;
1454 // Check for legality only before to do the move
1455 if (!pos.pl_move_is_legal(move, ci.pinned))
1458 // Update current move
1459 ss->currentMove = move;
1461 // Make and search the move
1462 pos.do_move(move, st, ci, givesCheck);
1463 value = -qsearch<NT>(pos, ss+1, -beta, -alpha, depth-ONE_PLY);
1464 pos.undo_move(move);
1466 assert(value > -VALUE_INFINITE && value < VALUE_INFINITE);
1469 if (value > bestValue)
1472 ss->bestMove = move;
1476 && value < beta) // We want always alpha < beta
1481 // All legal moves have been searched. A special case: If we're in check
1482 // and no legal moves were found, it is checkmate.
1483 if (inCheck && bestValue == -VALUE_INFINITE)
1484 return value_mated_in(ss->ply);
1486 // Update transposition table
1487 move = bestValue <= oldAlpha ? MOVE_NONE : ss->bestMove;
1488 vt = bestValue <= oldAlpha ? VALUE_TYPE_UPPER
1489 : bestValue >= beta ? VALUE_TYPE_LOWER : VALUE_TYPE_EXACT;
1491 TT.store(pos.get_key(), value_to_tt(bestValue, ss->ply), vt, ttDepth, move, ss->eval, evalMargin);
1493 assert(bestValue > -VALUE_INFINITE && bestValue < VALUE_INFINITE);
1499 // check_is_dangerous() tests if a checking move can be pruned in qsearch().
1500 // bestValue is updated only when returning false because in that case move
1503 bool check_is_dangerous(Position &pos, Move move, Value futilityBase, Value beta, Value *bestValue)
1505 Bitboard b, occ, oldAtt, newAtt, kingAtt;
1506 Square from, to, ksq, victimSq;
1509 Value futilityValue, bv = *bestValue;
1511 from = move_from(move);
1513 them = flip(pos.side_to_move());
1514 ksq = pos.king_square(them);
1515 kingAtt = pos.attacks_from<KING>(ksq);
1516 pc = pos.piece_on(from);
1518 occ = pos.occupied_squares() & ~(1ULL << from) & ~(1ULL << ksq);
1519 oldAtt = pos.attacks_from(pc, from, occ);
1520 newAtt = pos.attacks_from(pc, to, occ);
1522 // Rule 1. Checks which give opponent's king at most one escape square are dangerous
1523 b = kingAtt & ~pos.pieces(them) & ~newAtt & ~(1ULL << to);
1525 if (!(b && (b & (b - 1))))
1528 // Rule 2. Queen contact check is very dangerous
1529 if ( type_of(pc) == QUEEN
1530 && bit_is_set(kingAtt, to))
1533 // Rule 3. Creating new double threats with checks
1534 b = pos.pieces(them) & newAtt & ~oldAtt & ~(1ULL << ksq);
1538 victimSq = pop_1st_bit(&b);
1539 futilityValue = futilityBase + PieceValueEndgame[pos.piece_on(victimSq)];
1541 // Note that here we generate illegal "double move"!
1542 if ( futilityValue >= beta
1543 && pos.see_sign(make_move(from, victimSq)) >= 0)
1546 if (futilityValue > bv)
1550 // Update bestValue only if check is not dangerous (because we will prune the move)
1556 // connected_moves() tests whether two moves are 'connected' in the sense
1557 // that the first move somehow made the second move possible (for instance
1558 // if the moving piece is the same in both moves). The first move is assumed
1559 // to be the move that was made to reach the current position, while the
1560 // second move is assumed to be a move from the current position.
1562 bool connected_moves(const Position& pos, Move m1, Move m2) {
1564 Square f1, t1, f2, t2;
1571 // Case 1: The moving piece is the same in both moves
1577 // Case 2: The destination square for m2 was vacated by m1
1583 // Case 3: Moving through the vacated square
1584 p2 = pos.piece_on(f2);
1585 if ( piece_is_slider(p2)
1586 && bit_is_set(squares_between(f2, t2), f1))
1589 // Case 4: The destination square for m2 is defended by the moving piece in m1
1590 p1 = pos.piece_on(t1);
1591 if (bit_is_set(pos.attacks_from(p1, t1), t2))
1594 // Case 5: Discovered check, checking piece is the piece moved in m1
1595 ksq = pos.king_square(pos.side_to_move());
1596 if ( piece_is_slider(p1)
1597 && bit_is_set(squares_between(t1, ksq), f2))
1599 Bitboard occ = pos.occupied_squares();
1600 clear_bit(&occ, f2);
1601 if (bit_is_set(pos.attacks_from(p1, t1, occ), ksq))
1608 // value_to_tt() adjusts a mate score from "plies to mate from the root" to
1609 // "plies to mate from the current ply". Non-mate scores are unchanged.
1610 // The function is called before storing a value to the transposition table.
1612 Value value_to_tt(Value v, int ply) {
1614 if (v >= VALUE_MATE_IN_PLY_MAX)
1617 if (v <= VALUE_MATED_IN_PLY_MAX)
1624 // value_from_tt() is the inverse of value_to_tt(): It adjusts a mate score from
1625 // the transposition table to a mate score corrected for the current ply.
1627 Value value_from_tt(Value v, int ply) {
1629 if (v >= VALUE_MATE_IN_PLY_MAX)
1632 if (v <= VALUE_MATED_IN_PLY_MAX)
1639 // connected_threat() tests whether it is safe to forward prune a move or if
1640 // is somehow connected to the threat move returned by null search.
1642 bool connected_threat(const Position& pos, Move m, Move threat) {
1645 assert(is_ok(threat));
1646 assert(!pos.is_capture_or_promotion(m));
1647 assert(!pos.is_passed_pawn_push(m));
1649 Square mfrom, mto, tfrom, tto;
1651 mfrom = move_from(m);
1653 tfrom = move_from(threat);
1654 tto = move_to(threat);
1656 // Case 1: Don't prune moves which move the threatened piece
1660 // Case 2: If the threatened piece has value less than or equal to the
1661 // value of the threatening piece, don't prune moves which defend it.
1662 if ( pos.is_capture(threat)
1663 && ( PieceValueMidgame[pos.piece_on(tfrom)] >= PieceValueMidgame[pos.piece_on(tto)]
1664 || type_of(pos.piece_on(tfrom)) == KING)
1665 && pos.move_attacks_square(m, tto))
1668 // Case 3: If the moving piece in the threatened move is a slider, don't
1669 // prune safe moves which block its ray.
1670 if ( piece_is_slider(pos.piece_on(tfrom))
1671 && bit_is_set(squares_between(tfrom, tto), mto)
1672 && pos.see_sign(m) >= 0)
1679 // can_return_tt() returns true if a transposition table score
1680 // can be used to cut-off at a given point in search.
1682 bool can_return_tt(const TTEntry* tte, Depth depth, Value beta, int ply) {
1684 Value v = value_from_tt(tte->value(), ply);
1686 return ( tte->depth() >= depth
1687 || v >= std::max(VALUE_MATE_IN_PLY_MAX, beta)
1688 || v < std::min(VALUE_MATED_IN_PLY_MAX, beta))
1690 && ( ((tte->type() & VALUE_TYPE_LOWER) && v >= beta)
1691 || ((tte->type() & VALUE_TYPE_UPPER) && v < beta));
1695 // refine_eval() returns the transposition table score if
1696 // possible otherwise falls back on static position evaluation.
1698 Value refine_eval(const TTEntry* tte, Value defaultEval, int ply) {
1702 Value v = value_from_tt(tte->value(), ply);
1704 if ( ((tte->type() & VALUE_TYPE_LOWER) && v >= defaultEval)
1705 || ((tte->type() & VALUE_TYPE_UPPER) && v < defaultEval))
1712 // update_history() registers a good move that produced a beta-cutoff
1713 // in history and marks as failures all the other moves of that ply.
1715 void update_history(const Position& pos, Move move, Depth depth,
1716 Move movesSearched[], int moveCount) {
1718 Value bonus = Value(int(depth) * int(depth));
1720 H.update(pos.piece_on(move_from(move)), move_to(move), bonus);
1722 for (int i = 0; i < moveCount - 1; i++)
1724 m = movesSearched[i];
1728 H.update(pos.piece_on(move_from(m)), move_to(m), -bonus);
1733 // current_search_time() returns the number of milliseconds which have passed
1734 // since the beginning of the current search.
1736 int elapsed_search_time(int set) {
1738 static int searchStartTime;
1741 searchStartTime = set;
1743 return get_system_time() - searchStartTime;
1747 // score_to_uci() converts a value to a string suitable for use with the UCI
1748 // protocol specifications:
1750 // cp <x> The score from the engine's point of view in centipawns.
1751 // mate <y> Mate in y moves, not plies. If the engine is getting mated
1752 // use negative values for y.
1754 string score_to_uci(Value v, Value alpha, Value beta) {
1756 std::stringstream s;
1758 if (abs(v) < VALUE_MATE - PLY_MAX * ONE_PLY)
1759 s << " score cp " << int(v) * 100 / int(PawnValueMidgame); // Scale to centipawns
1761 s << " score mate " << (v > 0 ? VALUE_MATE - v + 1 : -VALUE_MATE - v) / 2;
1763 s << (v >= beta ? " lowerbound" : v <= alpha ? " upperbound" : "");
1769 // speed_to_uci() returns a string with time stats of current search suitable
1770 // to be sent to UCI gui.
1772 string speed_to_uci(int64_t nodes) {
1774 std::stringstream s;
1775 int t = elapsed_search_time();
1777 s << " nodes " << nodes
1778 << " nps " << (t > 0 ? int(nodes * 1000 / t) : 0)
1785 // pv_to_uci() returns a string with information on the current PV line
1786 // formatted according to UCI specification.
1788 string pv_to_uci(const Move pv[], int pvNum, bool chess960) {
1790 std::stringstream s;
1792 s << " multipv " << pvNum << " pv " << set960(chess960);
1794 for ( ; *pv != MOVE_NONE; pv++)
1801 // depth_to_uci() returns a string with information on the current depth and
1802 // seldepth formatted according to UCI specification.
1804 string depth_to_uci(Depth depth) {
1806 std::stringstream s;
1808 // Retrieve max searched depth among threads
1810 for (int i = 0; i < Threads.size(); i++)
1811 if (Threads[i].maxPly > selDepth)
1812 selDepth = Threads[i].maxPly;
1814 s << " depth " << depth / ONE_PLY << " seldepth " << selDepth;
1819 string time_to_string(int millisecs) {
1821 const int MSecMinute = 1000 * 60;
1822 const int MSecHour = 1000 * 60 * 60;
1824 int hours = millisecs / MSecHour;
1825 int minutes = (millisecs % MSecHour) / MSecMinute;
1826 int seconds = ((millisecs % MSecHour) % MSecMinute) / 1000;
1828 std::stringstream s;
1833 s << std::setfill('0') << std::setw(2) << minutes << ':' << std::setw(2) << seconds;
1837 string score_to_string(Value v) {
1839 std::stringstream s;
1841 if (v >= VALUE_MATE_IN_PLY_MAX)
1842 s << "#" << (VALUE_MATE - v + 1) / 2;
1843 else if (v <= VALUE_MATED_IN_PLY_MAX)
1844 s << "-#" << (VALUE_MATE + v) / 2;
1846 s << std::setprecision(2) << std::fixed << std::showpos << float(v) / PawnValueMidgame;
1852 // pretty_pv() creates a human-readable string from a position and a PV.
1853 // It is used to write search information to the log file (which is created
1854 // when the UCI parameter "Use Search Log" is "true").
1856 string pretty_pv(Position& pos, int depth, Value value, int time, Move pv[]) {
1858 const int64_t K = 1000;
1859 const int64_t M = 1000000;
1860 const int startColumn = 28;
1861 const size_t maxLength = 80 - startColumn;
1863 StateInfo state[PLY_MAX_PLUS_2], *st = state;
1866 std::stringstream s;
1869 // First print depth, score, time and searched nodes...
1870 s << set960(pos.is_chess960())
1871 << std::setw(2) << depth
1872 << std::setw(8) << score_to_string(value)
1873 << std::setw(8) << time_to_string(time);
1875 if (pos.nodes_searched() < M)
1876 s << std::setw(8) << pos.nodes_searched() / 1 << " ";
1877 else if (pos.nodes_searched() < K * M)
1878 s << std::setw(7) << pos.nodes_searched() / K << "K ";
1880 s << std::setw(7) << pos.nodes_searched() / M << "M ";
1882 // ...then print the full PV line in short algebraic notation
1883 while (*m != MOVE_NONE)
1885 san = move_to_san(pos, *m);
1886 length += san.length() + 1;
1888 if (length > maxLength)
1890 length = san.length() + 1;
1891 s << "\n" + string(startColumn, ' ');
1895 pos.do_move(*m++, *st++);
1898 // Restore original position before to leave
1899 while (m != pv) pos.undo_move(*--m);
1905 // wait_for_stop_or_ponderhit() is called when the maximum depth is reached
1906 // while the program is pondering. The point is to work around a wrinkle in
1907 // the UCI protocol: When pondering, the engine is not allowed to give a
1908 // "bestmove" before the GUI sends it a "stop" or "ponderhit" command.
1909 // We simply wait here until one of these commands (that raise StopRequest) is
1910 // sent, and return, after which the bestmove and pondermove will be printed.
1912 void wait_for_stop_or_ponderhit() {
1915 StopOnPonderhit = true;
1917 while (!StopRequest)
1919 Threads.getline(cmd);
1920 do_uci_async_cmd(cmd);
1925 // When playing with strength handicap choose best move among the MultiPV set
1926 // using a statistical rule dependent on SkillLevel. Idea by Heinz van Saanen.
1928 void do_skill_level(Move* best, Move* ponder) {
1930 assert(MultiPV > 1);
1934 // Rml list is already sorted by score in descending order
1936 int max_s = -VALUE_INFINITE;
1937 int size = std::min(MultiPV, (int)Rml.size());
1938 int max = Rml[0].score;
1939 int var = std::min(max - Rml[size - 1].score, int(PawnValueMidgame));
1940 int wk = 120 - 2 * SkillLevel;
1942 // PRNG sequence should be non deterministic
1943 for (int i = abs(get_system_time() % 50); i > 0; i--)
1944 rk.rand<unsigned>();
1946 // Choose best move. For each move's score we add two terms both dependent
1947 // on wk, one deterministic and bigger for weaker moves, and one random,
1948 // then we choose the move with the resulting highest score.
1949 for (int i = 0; i < size; i++)
1953 // Don't allow crazy blunders even at very low skills
1954 if (i > 0 && Rml[i-1].score > s + EasyMoveMargin)
1957 // This is our magical formula
1958 s += ((max - s) * wk + var * (rk.rand<unsigned>() % wk)) / 128;
1963 *best = Rml[i].pv[0];
1964 *ponder = Rml[i].pv[1];
1970 /// RootMove and RootMoveList method's definitions
1972 void RootMoveList::init(Position& pos, Move searchMoves[]) {
1975 bestMoveChanges = 0;
1978 // Generate all legal moves and add them to RootMoveList
1979 for (MoveList<MV_LEGAL> ml(pos); !ml.end(); ++ml)
1981 // If we have a searchMoves[] list then verify the move
1982 // is in the list before to add it.
1983 for (sm = searchMoves; *sm && *sm != ml.move(); sm++) {}
1985 if (sm != searchMoves && *sm != ml.move())
1989 rm.pv.push_back(ml.move());
1990 rm.pv.push_back(MOVE_NONE);
1991 rm.score = rm.prevScore = -VALUE_INFINITE;
1997 RootMove* RootMoveList::find(const Move& m, int startIndex) {
1999 for (size_t i = startIndex; i < size(); i++)
2000 if ((*this)[i].pv[0] == m)
2007 // extract_pv_from_tt() builds a PV by adding moves from the transposition table.
2008 // We consider also failing high nodes and not only VALUE_TYPE_EXACT nodes. This
2009 // allow to always have a ponder move even when we fail high at root and also a
2010 // long PV to print that is important for position analysis.
2012 void RootMove::extract_pv_from_tt(Position& pos) {
2014 StateInfo state[PLY_MAX_PLUS_2], *st = state;
2019 assert(m != MOVE_NONE && pos.is_pseudo_legal(m));
2023 pos.do_move(m, *st++);
2025 while ( (tte = TT.probe(pos.get_key())) != NULL
2026 && tte->move() != MOVE_NONE
2027 && pos.is_pseudo_legal(tte->move())
2028 && pos.pl_move_is_legal(tte->move(), pos.pinned_pieces())
2030 && (!pos.is_draw<false>() || ply < 2))
2032 pv.push_back(tte->move());
2033 pos.do_move(tte->move(), *st++);
2036 pv.push_back(MOVE_NONE);
2038 do pos.undo_move(pv[--ply]); while (ply);
2042 // insert_pv_in_tt() is called at the end of a search iteration, and inserts
2043 // the PV back into the TT. This makes sure the old PV moves are searched
2044 // first, even if the old TT entries have been overwritten.
2046 void RootMove::insert_pv_in_tt(Position& pos) {
2048 StateInfo state[PLY_MAX_PLUS_2], *st = state;
2051 Value v, m = VALUE_NONE;
2054 assert(pv[0] != MOVE_NONE && pos.is_pseudo_legal(pv[0]));
2060 // Don't overwrite existing correct entries
2061 if (!tte || tte->move() != pv[ply])
2063 v = (pos.in_check() ? VALUE_NONE : evaluate(pos, m));
2064 TT.store(k, VALUE_NONE, VALUE_TYPE_NONE, DEPTH_NONE, pv[ply], v, m);
2066 pos.do_move(pv[ply], *st++);
2068 } while (pv[++ply] != MOVE_NONE);
2070 do pos.undo_move(pv[--ply]); while (ply);
2076 // Thread::idle_loop() is where the thread is parked when it has no work to do.
2077 // The parameter 'sp', if non-NULL, is a pointer to an active SplitPoint object
2078 // for which the thread is the master.
2080 void Thread::idle_loop(SplitPoint* sp) {
2084 // If we are not searching, wait for a condition to be signaled
2085 // instead of wasting CPU time polling for work.
2088 || (Threads.use_sleeping_threads() && !is_searching))
2090 assert((!sp && threadID) || Threads.use_sleeping_threads());
2092 // Slave thread should exit as soon as do_terminate flag raises
2099 // Grab the lock to avoid races with Thread::wake_up()
2100 lock_grab(&sleepLock);
2102 // If we are master and all slaves have finished don't go to sleep
2103 if (sp && Threads.split_point_finished(sp))
2105 lock_release(&sleepLock);
2109 // Do sleep after retesting sleep conditions under lock protection, in
2110 // particular we need to avoid a deadlock in case a master thread has,
2111 // in the meanwhile, allocated us and sent the wake_up() call before we
2112 // had the chance to grab the lock.
2113 if (do_sleep || !is_searching)
2114 cond_wait(&sleepCond, &sleepLock);
2116 lock_release(&sleepLock);
2119 // If this thread has been assigned work, launch a search
2122 assert(!do_terminate);
2124 // Copy split point position and search stack and call search()
2125 SearchStack ss[PLY_MAX_PLUS_2];
2126 SplitPoint* tsp = splitPoint;
2127 Position pos(*tsp->pos, threadID);
2129 memcpy(ss, tsp->ss - 1, 4 * sizeof(SearchStack));
2132 if (tsp->nodeType == Root)
2133 search<SplitPointRoot>(pos, ss+1, tsp->alpha, tsp->beta, tsp->depth);
2134 else if (tsp->nodeType == PV)
2135 search<SplitPointPV>(pos, ss+1, tsp->alpha, tsp->beta, tsp->depth);
2136 else if (tsp->nodeType == NonPV)
2137 search<SplitPointNonPV>(pos, ss+1, tsp->alpha, tsp->beta, tsp->depth);
2141 assert(is_searching);
2143 is_searching = false;
2145 // Wake up master thread so to allow it to return from the idle loop in
2146 // case we are the last slave of the split point.
2147 if ( Threads.use_sleeping_threads()
2148 && threadID != tsp->master
2149 && !Threads[tsp->master].is_searching)
2150 Threads[tsp->master].wake_up();
2153 // If this thread is the master of a split point and all slaves have
2154 // finished their work at this split point, return from the idle loop.
2155 if (sp && Threads.split_point_finished(sp))
2157 // Because sp->is_slave[] is reset under lock protection,
2158 // be sure sp->lock has been released before to return.
2159 lock_grab(&(sp->lock));
2160 lock_release(&(sp->lock));
2167 // do_uci_async_cmd() is called by listener thread when in async mode and 'cmd'
2168 // input line is received from the GUI.
2170 void do_uci_async_cmd(const std::string& cmd) {
2173 QuitRequest = StopRequest = true;
2175 else if (cmd == "stop")
2178 else if (cmd == "ponderhit")
2180 // The opponent has played the expected move. GUI sends "ponderhit" if
2181 // we were told to ponder on the same move the opponent has played. We
2182 // should continue searching but switching from pondering to normal search.
2183 Limits.ponder = false;
2185 if (StopOnPonderhit)
2191 // do_timer_event() is called by the timer thread when the timer triggers
2193 void do_timer_event() {
2195 static int lastInfoTime;
2196 int e = elapsed_search_time();
2198 // Print debug information every one second
2199 if (!lastInfoTime || get_system_time() - lastInfoTime >= 1000)
2201 lastInfoTime = get_system_time();
2204 dbg_print_hit_rate();
2207 // Should we stop the search?
2211 bool stillAtFirstMove = FirstRootMove
2212 && !AspirationFailLow
2213 && e > TimeMgr.available_time();
2215 bool noMoreTime = e > TimeMgr.maximum_time()
2216 || stillAtFirstMove;
2218 if ( (Limits.useTimeManagement() && noMoreTime)
2219 || (Limits.maxTime && e >= Limits.maxTime)
2220 /* missing nodes limit */ ) // FIXME