2 Stockfish, a UCI chess playing engine derived from Glaurung 2.1
3 Copyright (C) 2004-2008 Tord Romstad (Glaurung author)
4 Copyright (C) 2008-2015 Marco Costalba, Joona Kiiski, Tord Romstad
5 Copyright (C) 2015-2018 Marco Costalba, Joona Kiiski, Gary Linscott, Tord Romstad
7 Stockfish is free software: you can redistribute it and/or modify
8 it under the terms of the GNU General Public License as published by
9 the Free Software Foundation, either version 3 of the License, or
10 (at your option) any later version.
12 Stockfish is distributed in the hope that it will be useful,
13 but WITHOUT ANY WARRANTY; without even the implied warranty of
14 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
15 GNU General Public License for more details.
17 You should have received a copy of the GNU General Public License
18 along with this program. If not, see <http://www.gnu.org/licenses/>.
24 #include <cstring> // For std::memset
38 #include "syzygy/tbprobe.h"
45 namespace Tablebases {
53 namespace TB = Tablebases;
57 using namespace Search;
61 // Different node types, used as a template parameter
62 enum NodeType { NonPV, PV };
64 // Sizes and phases of the skip-blocks, used for distributing search depths across the threads
65 constexpr int SkipSize[] = { 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4 };
66 constexpr int SkipPhase[] = { 0, 1, 0, 1, 2, 3, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 6, 7 };
68 // Razor and futility margins
69 constexpr int RazorMargin[] = {0, 590, 604};
70 Value futility_margin(Depth d, bool improving) {
71 return Value((175 - 50 * improving) * d / ONE_PLY);
74 // Margin for pruning capturing moves: almost linear in depth
75 constexpr int CapturePruneMargin[] = { 0,
76 1 * PawnValueEg * 1055 / 1000,
77 2 * PawnValueEg * 1042 / 1000,
78 3 * PawnValueEg * 963 / 1000,
79 4 * PawnValueEg * 1038 / 1000,
80 5 * PawnValueEg * 950 / 1000,
81 6 * PawnValueEg * 930 / 1000
84 // Futility and reductions lookup tables, initialized at startup
85 int FutilityMoveCounts[2][16]; // [improving][depth]
86 int Reductions[2][2][64][64]; // [pv][improving][depth][moveNumber]
88 template <bool PvNode> Depth reduction(bool i, Depth d, int mn) {
89 return Reductions[PvNode][i][std::min(d / ONE_PLY, 63)][std::min(mn, 63)] * ONE_PLY;
92 // History and stats update bonus, based on depth
93 int stat_bonus(Depth depth) {
94 int d = depth / ONE_PLY;
95 return d > 17 ? 0 : d * d + 2 * d - 2;
98 // Skill structure is used to implement strength limit
100 explicit Skill(int l) : level(l) {}
101 bool enabled() const { return level < 20; }
102 bool time_to_pick(Depth depth) const { return depth / ONE_PLY == 1 + level; }
103 Move pick_best(size_t multiPV);
106 Move best = MOVE_NONE;
109 template <NodeType NT>
110 Value search(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth, bool cutNode, bool skipEarlyPruning);
112 template <NodeType NT>
113 Value qsearch(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth = DEPTH_ZERO);
115 Value value_to_tt(Value v, int ply);
116 Value value_from_tt(Value v, int ply);
117 void update_pv(Move* pv, Move move, Move* childPv);
118 void update_continuation_histories(Stack* ss, Piece pc, Square to, int bonus);
119 void update_quiet_stats(const Position& pos, Stack* ss, Move move, Move* quiets, int quietsCnt, int bonus);
120 void update_capture_stats(const Position& pos, Move move, Move* captures, int captureCnt, int bonus);
122 inline bool gives_check(const Position& pos, Move move) {
123 Color us = pos.side_to_move();
124 return type_of(move) == NORMAL && !(pos.blockers_for_king(~us) & pos.pieces(us))
125 ? pos.check_squares(type_of(pos.moved_piece(move))) & to_sq(move)
126 : pos.gives_check(move);
129 // perft() is our utility to verify move generation. All the leaf nodes up
130 // to the given depth are generated and counted, and the sum is returned.
132 uint64_t perft(Position& pos, Depth depth) {
135 uint64_t cnt, nodes = 0;
136 const bool leaf = (depth == 2 * ONE_PLY);
138 for (const auto& m : MoveList<LEGAL>(pos))
140 if (Root && depth <= ONE_PLY)
145 cnt = leaf ? MoveList<LEGAL>(pos).size() : perft<false>(pos, depth - ONE_PLY);
150 sync_cout << UCI::move(m, pos.is_chess960()) << ": " << cnt << sync_endl;
158 /// Search::init() is called at startup to initialize various lookup tables
160 void Search::init() {
162 for (int imp = 0; imp <= 1; ++imp)
163 for (int d = 1; d < 64; ++d)
164 for (int mc = 1; mc < 64; ++mc)
166 double r = log(d) * log(mc) / 1.95;
168 Reductions[NonPV][imp][d][mc] = int(std::round(r));
169 Reductions[PV][imp][d][mc] = std::max(Reductions[NonPV][imp][d][mc] - 1, 0);
171 // Increase reduction for non-PV nodes when eval is not improving
173 Reductions[NonPV][imp][d][mc]++;
176 for (int d = 0; d < 16; ++d)
178 FutilityMoveCounts[0][d] = int(2.4 + 0.74 * pow(d, 1.78));
179 FutilityMoveCounts[1][d] = int(5.0 + 1.00 * pow(d, 2.00));
184 /// Search::clear() resets search state to its initial value
186 void Search::clear() {
188 Threads.main()->wait_for_search_finished();
190 Time.availableNodes = 0;
196 /// MainThread::search() is called by the main thread when the program receives
197 /// the UCI 'go' command. It searches from the root position and outputs the "bestmove".
199 void MainThread::search() {
203 nodes = perft<true>(rootPos, Limits.perft * ONE_PLY);
204 sync_cout << "\nNodes searched: " << nodes << "\n" << sync_endl;
208 Color us = rootPos.side_to_move();
209 Time.init(Limits, us, rootPos.game_ply());
212 if (rootMoves.empty())
214 rootMoves.emplace_back(MOVE_NONE);
215 sync_cout << "info depth 0 score "
216 << UCI::value(rootPos.checkers() ? -VALUE_MATE : VALUE_DRAW)
221 for (Thread* th : Threads)
223 th->start_searching();
225 Thread::search(); // Let's start searching!
228 // When we reach the maximum depth, we can arrive here without a raise of
229 // Threads.stop. However, if we are pondering or in an infinite search,
230 // the UCI protocol states that we shouldn't print the best move before the
231 // GUI sends a "stop" or "ponderhit" command. We therefore simply wait here
232 // until the GUI sends one of those commands (which also raises Threads.stop).
233 Threads.stopOnPonderhit = true;
235 while (!Threads.stop && (Threads.ponder || Limits.infinite))
236 {} // Busy wait for a stop or a ponder reset
238 // Stop the threads if not already stopped (also raise the stop if
239 // "ponderhit" just reset Threads.ponder).
242 // Wait until all threads have finished
243 for (Thread* th : Threads)
245 th->wait_for_search_finished();
247 // When playing in 'nodes as time' mode, subtract the searched nodes from
248 // the available ones before exiting.
250 Time.availableNodes += Limits.inc[us] - Threads.nodes_searched();
252 // Check if there are threads with a better score than main thread
253 Thread* bestThread = this;
254 if ( Options["MultiPV"] == 1
256 && !Skill(Options["Skill Level"]).enabled()
257 && rootMoves[0].pv[0] != MOVE_NONE)
259 for (Thread* th : Threads)
261 Depth depthDiff = th->completedDepth - bestThread->completedDepth;
262 Value scoreDiff = th->rootMoves[0].score - bestThread->rootMoves[0].score;
264 // Select the thread with the best score, always if it is a mate
266 && (depthDiff >= 0 || th->rootMoves[0].score >= VALUE_MATE_IN_MAX_PLY))
271 previousScore = bestThread->rootMoves[0].score;
273 // Send again PV info if we have a new best thread
274 if (bestThread != this)
275 sync_cout << UCI::pv(bestThread->rootPos, bestThread->completedDepth, -VALUE_INFINITE, VALUE_INFINITE) << sync_endl;
277 sync_cout << "bestmove " << UCI::move(bestThread->rootMoves[0].pv[0], rootPos.is_chess960());
279 if (bestThread->rootMoves[0].pv.size() > 1 || bestThread->rootMoves[0].extract_ponder_from_tt(rootPos))
280 std::cout << " ponder " << UCI::move(bestThread->rootMoves[0].pv[1], rootPos.is_chess960());
282 std::cout << sync_endl;
286 /// Thread::search() is the main iterative deepening loop. It calls search()
287 /// repeatedly with increasing depth until the allocated thinking time has been
288 /// consumed, the user stops the search, or the maximum search depth is reached.
290 void Thread::search() {
292 Stack stack[MAX_PLY+7], *ss = stack+4; // To reference from (ss-4) to (ss+2)
293 Value bestValue, alpha, beta, delta;
294 Move lastBestMove = MOVE_NONE;
295 Depth lastBestMoveDepth = DEPTH_ZERO;
296 MainThread* mainThread = (this == Threads.main() ? Threads.main() : nullptr);
297 double timeReduction = 1.0;
298 Color us = rootPos.side_to_move();
300 std::memset(ss-4, 0, 7 * sizeof(Stack));
301 for (int i = 4; i > 0; i--)
302 (ss-i)->contHistory = this->contHistory[NO_PIECE][0].get(); // Use as sentinel
304 bestValue = delta = alpha = -VALUE_INFINITE;
305 beta = VALUE_INFINITE;
308 mainThread->bestMoveChanges = 0, mainThread->failedLow = false;
310 size_t multiPV = Options["MultiPV"];
311 Skill skill(Options["Skill Level"]);
313 // When playing with strength handicap enable MultiPV search that we will
314 // use behind the scenes to retrieve a set of possible moves.
316 multiPV = std::max(multiPV, (size_t)4);
318 multiPV = std::min(multiPV, rootMoves.size());
320 int ct = Options["Contempt"] * PawnValueEg / 100; // From centipawns
322 // In analysis mode, adjust contempt in accordance with user preference
323 if (Limits.infinite || Options["UCI_AnalyseMode"])
324 ct = Options["Analysis Contempt"] == "Off" ? 0
325 : Options["Analysis Contempt"] == "Both" ? ct
326 : Options["Analysis Contempt"] == "White" && us == BLACK ? -ct
327 : Options["Analysis Contempt"] == "Black" && us == WHITE ? -ct
330 // In evaluate.cpp the evaluation is from the white point of view
331 contempt = (us == WHITE ? make_score(ct, ct / 2)
332 : -make_score(ct, ct / 2));
334 // Iterative deepening loop until requested to stop or the target depth is reached
335 while ( (rootDepth += ONE_PLY) < DEPTH_MAX
337 && !(Limits.depth && mainThread && rootDepth / ONE_PLY > Limits.depth))
339 // Distribute search depths across the helper threads
342 int i = (idx - 1) % 20;
343 if (((rootDepth / ONE_PLY + rootPos.game_ply() + SkipPhase[i]) / SkipSize[i]) % 2)
344 continue; // Retry with an incremented rootDepth
347 // Age out PV variability metric
349 mainThread->bestMoveChanges *= 0.517, mainThread->failedLow = false;
351 // Save the last iteration's scores before first PV line is searched and
352 // all the move scores except the (new) PV are set to -VALUE_INFINITE.
353 for (RootMove& rm : rootMoves)
354 rm.previousScore = rm.score;
359 // MultiPV loop. We perform a full root search for each PV line
360 for (PVIdx = 0; PVIdx < multiPV && !Threads.stop; ++PVIdx)
365 for (PVLast++; PVLast < rootMoves.size(); PVLast++)
366 if (rootMoves[PVLast].TBRank != rootMoves[PVFirst].TBRank)
370 // Reset UCI info selDepth for each depth and each PV line
373 // Reset aspiration window starting size
374 if (rootDepth >= 5 * ONE_PLY)
376 Value previousScore = rootMoves[PVIdx].previousScore;
378 alpha = std::max(previousScore - delta,-VALUE_INFINITE);
379 beta = std::min(previousScore + delta, VALUE_INFINITE);
381 // Adjust contempt based on root move's previousScore (dynamic contempt)
382 int dct = ct + int(std::round(48 * atan(float(previousScore) / 128)));
384 contempt = (us == WHITE ? make_score(dct, dct / 2)
385 : -make_score(dct, dct / 2));
388 // Start with a small aspiration window and, in the case of a fail
389 // high/low, re-search with a bigger window until we don't fail
393 bestValue = ::search<PV>(rootPos, ss, alpha, beta, rootDepth, false, false);
395 // Bring the best move to the front. It is critical that sorting
396 // is done with a stable algorithm because all the values but the
397 // first and eventually the new best one are set to -VALUE_INFINITE
398 // and we want to keep the same order for all the moves except the
399 // new PV that goes to the front. Note that in case of MultiPV
400 // search the already searched PV lines are preserved.
401 std::stable_sort(rootMoves.begin() + PVIdx, rootMoves.begin() + PVLast);
403 // If search has been stopped, we break immediately. Sorting is
404 // safe because RootMoves is still valid, although it refers to
405 // the previous iteration.
409 // When failing high/low give some update (without cluttering
410 // the UI) before a re-search.
413 && (bestValue <= alpha || bestValue >= beta)
414 && Time.elapsed() > 3000)
415 sync_cout << UCI::pv(rootPos, rootDepth, alpha, beta) << sync_endl;
417 // In case of failing low/high increase aspiration window and
418 // re-search, otherwise exit the loop.
419 if (bestValue <= alpha)
421 beta = (alpha + beta) / 2;
422 alpha = std::max(bestValue - delta, -VALUE_INFINITE);
426 mainThread->failedLow = true;
427 Threads.stopOnPonderhit = false;
430 else if (bestValue >= beta)
431 beta = std::min(bestValue + delta, VALUE_INFINITE);
435 delta += delta / 4 + 5;
437 assert(alpha >= -VALUE_INFINITE && beta <= VALUE_INFINITE);
440 // Sort the PV lines searched so far and update the GUI
441 std::stable_sort(rootMoves.begin() + PVFirst, rootMoves.begin() + PVIdx + 1);
444 && (Threads.stop || PVIdx + 1 == multiPV || Time.elapsed() > 3000))
445 sync_cout << UCI::pv(rootPos, rootDepth, alpha, beta) << sync_endl;
449 completedDepth = rootDepth;
451 if (rootMoves[0].pv[0] != lastBestMove) {
452 lastBestMove = rootMoves[0].pv[0];
453 lastBestMoveDepth = rootDepth;
456 // Have we found a "mate in x"?
458 && bestValue >= VALUE_MATE_IN_MAX_PLY
459 && VALUE_MATE - bestValue <= 2 * Limits.mate)
465 // If skill level is enabled and time is up, pick a sub-optimal best move
466 if (skill.enabled() && skill.time_to_pick(rootDepth))
467 skill.pick_best(multiPV);
469 // Do we have time for the next iteration? Can we stop searching now?
470 if ( Limits.use_time_management()
472 && !Threads.stopOnPonderhit)
474 const int F[] = { mainThread->failedLow,
475 bestValue - mainThread->previousScore };
477 int improvingFactor = std::max(246, std::min(832, 306 + 119 * F[0] - 6 * F[1]));
479 // If the bestMove is stable over several iterations, reduce time accordingly
481 for (int i : {3, 4, 5})
482 if (lastBestMoveDepth * i < completedDepth)
483 timeReduction *= 1.25;
485 // Use part of the gained time from a previous stable move for the current move
486 double bestMoveInstability = 1.0 + mainThread->bestMoveChanges;
487 bestMoveInstability *= std::pow(mainThread->previousTimeReduction, 0.528) / timeReduction;
489 // Stop the search if we have only one legal move, or if available time elapsed
490 if ( rootMoves.size() == 1
491 || Time.elapsed() > Time.optimum() * bestMoveInstability * improvingFactor / 581)
493 // If we are allowed to ponder do not stop the search now but
494 // keep pondering until the GUI sends "ponderhit" or "stop".
496 Threads.stopOnPonderhit = true;
506 mainThread->previousTimeReduction = timeReduction;
508 // If skill level is enabled, swap best PV line with the sub-optimal one
510 std::swap(rootMoves[0], *std::find(rootMoves.begin(), rootMoves.end(),
511 skill.best ? skill.best : skill.pick_best(multiPV)));
517 // search<>() is the main search function for both PV and non-PV nodes
519 template <NodeType NT>
520 Value search(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth, bool cutNode, bool skipEarlyPruning) {
522 // Use quiescence search when needed
524 return qsearch<NT>(pos, ss, alpha, beta);
526 constexpr bool PvNode = NT == PV;
527 const bool rootNode = PvNode && ss->ply == 0;
529 assert(-VALUE_INFINITE <= alpha && alpha < beta && beta <= VALUE_INFINITE);
530 assert(PvNode || (alpha == beta - 1));
531 assert(DEPTH_ZERO < depth && depth < DEPTH_MAX);
532 assert(!(PvNode && cutNode));
533 assert(depth / ONE_PLY * ONE_PLY == depth);
535 Move pv[MAX_PLY+1], capturesSearched[32], quietsSearched[64];
539 Move ttMove, move, excludedMove, bestMove;
540 Depth extension, newDepth;
541 Value bestValue, value, ttValue, eval, maxValue;
542 bool ttHit, inCheck, givesCheck, improving;
543 bool captureOrPromotion, doFullDepthSearch, moveCountPruning, skipQuiets, ttCapture, pvExact;
545 int moveCount, captureCount, quietCount;
547 // Step 1. Initialize node
548 Thread* thisThread = pos.this_thread();
549 inCheck = pos.checkers();
550 moveCount = captureCount = quietCount = ss->moveCount = 0;
551 bestValue = -VALUE_INFINITE;
552 maxValue = VALUE_INFINITE;
554 // Check for the available remaining time
555 if (thisThread == Threads.main())
556 static_cast<MainThread*>(thisThread)->check_time();
558 // Used to send selDepth info to GUI (selDepth counts from 1, ply from 0)
559 if (PvNode && thisThread->selDepth < ss->ply + 1)
560 thisThread->selDepth = ss->ply + 1;
564 // Step 2. Check for aborted search and immediate draw
565 if ( Threads.stop.load(std::memory_order_relaxed)
566 || pos.is_draw(ss->ply)
567 || ss->ply >= MAX_PLY)
568 return (ss->ply >= MAX_PLY && !inCheck) ? evaluate(pos) : VALUE_DRAW;
570 // Step 3. Mate distance pruning. Even if we mate at the next move our score
571 // would be at best mate_in(ss->ply+1), but if alpha is already bigger because
572 // a shorter mate was found upward in the tree then there is no need to search
573 // because we will never beat the current alpha. Same logic but with reversed
574 // signs applies also in the opposite condition of being mated instead of giving
575 // mate. In this case return a fail-high score.
576 alpha = std::max(mated_in(ss->ply), alpha);
577 beta = std::min(mate_in(ss->ply+1), beta);
582 assert(0 <= ss->ply && ss->ply < MAX_PLY);
584 (ss+1)->ply = ss->ply + 1;
585 ss->currentMove = (ss+1)->excludedMove = bestMove = MOVE_NONE;
586 ss->contHistory = thisThread->contHistory[NO_PIECE][0].get();
587 (ss+2)->killers[0] = (ss+2)->killers[1] = MOVE_NONE;
588 Square prevSq = to_sq((ss-1)->currentMove);
590 // Initialize statScore to zero for the grandchildren of the current position.
591 // So statScore is shared between all grandchildren and only the first grandchild
592 // starts with statScore = 0. Later grandchildren start with the last calculated
593 // statScore of the previous grandchild. This influences the reduction rules in
594 // LMR which are based on the statScore of parent position.
595 (ss+2)->statScore = 0;
597 // Step 4. Transposition table lookup. We don't want the score of a partial
598 // search to overwrite a previous full search TT value, so we use a different
599 // position key in case of an excluded move.
600 excludedMove = ss->excludedMove;
601 posKey = pos.key() ^ Key(excludedMove << 16); // Isn't a very good hash
602 tte = TT.probe(posKey, ttHit);
603 ttValue = ttHit ? value_from_tt(tte->value(), ss->ply) : VALUE_NONE;
604 ttMove = rootNode ? thisThread->rootMoves[thisThread->PVIdx].pv[0]
605 : ttHit ? tte->move() : MOVE_NONE;
607 // At non-PV nodes we check for an early TT cutoff
610 && tte->depth() >= depth
611 && ttValue != VALUE_NONE // Possible in case of TT access race
612 && (ttValue >= beta ? (tte->bound() & BOUND_LOWER)
613 : (tte->bound() & BOUND_UPPER)))
615 // If ttMove is quiet, update move sorting heuristics on TT hit
620 if (!pos.capture_or_promotion(ttMove))
621 update_quiet_stats(pos, ss, ttMove, nullptr, 0, stat_bonus(depth));
623 // Extra penalty for a quiet TT move in previous ply when it gets refuted
624 if ((ss-1)->moveCount == 1 && !pos.captured_piece())
625 update_continuation_histories(ss-1, pos.piece_on(prevSq), prevSq, -stat_bonus(depth + ONE_PLY));
627 // Penalty for a quiet ttMove that fails low
628 else if (!pos.capture_or_promotion(ttMove))
630 int penalty = -stat_bonus(depth);
631 thisThread->mainHistory[pos.side_to_move()][from_to(ttMove)] << penalty;
632 update_continuation_histories(ss, pos.moved_piece(ttMove), to_sq(ttMove), penalty);
638 // Step 5. Tablebases probe
639 if (!rootNode && TB::Cardinality)
641 int piecesCount = pos.count<ALL_PIECES>();
643 if ( piecesCount <= TB::Cardinality
644 && (piecesCount < TB::Cardinality || depth >= TB::ProbeDepth)
645 && pos.rule50_count() == 0
646 && !pos.can_castle(ANY_CASTLING))
649 TB::WDLScore wdl = Tablebases::probe_wdl(pos, &err);
651 if (err != TB::ProbeState::FAIL)
653 thisThread->tbHits.fetch_add(1, std::memory_order_relaxed);
655 int drawScore = TB::UseRule50 ? 1 : 0;
657 value = wdl < -drawScore ? -VALUE_MATE + MAX_PLY + ss->ply + 1
658 : wdl > drawScore ? VALUE_MATE - MAX_PLY - ss->ply - 1
659 : VALUE_DRAW + 2 * wdl * drawScore;
661 Bound b = wdl < -drawScore ? BOUND_UPPER
662 : wdl > drawScore ? BOUND_LOWER : BOUND_EXACT;
664 if ( b == BOUND_EXACT
665 || (b == BOUND_LOWER ? value >= beta : value <= alpha))
667 tte->save(posKey, value_to_tt(value, ss->ply), b,
668 std::min(DEPTH_MAX - ONE_PLY, depth + 6 * ONE_PLY),
669 MOVE_NONE, VALUE_NONE, TT.generation());
676 if (b == BOUND_LOWER)
677 bestValue = value, alpha = std::max(alpha, bestValue);
685 // Step 6. Evaluate the position statically
688 ss->staticEval = eval = VALUE_NONE;
694 // Never assume anything on values stored in TT
695 if ((ss->staticEval = eval = tte->eval()) == VALUE_NONE)
696 eval = ss->staticEval = evaluate(pos);
698 // Can ttValue be used as a better position evaluation?
699 if ( ttValue != VALUE_NONE
700 && (tte->bound() & (ttValue > eval ? BOUND_LOWER : BOUND_UPPER)))
705 ss->staticEval = eval =
706 (ss-1)->currentMove != MOVE_NULL ? evaluate(pos)
707 : -(ss-1)->staticEval + 2 * Eval::Tempo;
709 tte->save(posKey, VALUE_NONE, BOUND_NONE, DEPTH_NONE, MOVE_NONE,
710 ss->staticEval, TT.generation());
713 improving = ss->staticEval >= (ss-2)->staticEval
714 ||(ss-2)->staticEval == VALUE_NONE;
716 if (skipEarlyPruning || !pos.non_pawn_material(pos.side_to_move()))
719 // Step 7. Razoring (skipped when in check, ~2 Elo)
721 && depth < 3 * ONE_PLY
722 && eval <= alpha - RazorMargin[depth / ONE_PLY])
724 Value ralpha = alpha - (depth >= 2 * ONE_PLY) * RazorMargin[depth / ONE_PLY];
725 Value v = qsearch<NonPV>(pos, ss, ralpha, ralpha+1);
726 if (depth < 2 * ONE_PLY || v <= ralpha)
730 // Step 8. Futility pruning: child node (skipped when in check, ~30 Elo)
732 && depth < 7 * ONE_PLY
733 && eval - futility_margin(depth, improving) >= beta
734 && eval < VALUE_KNOWN_WIN) // Do not return unproven wins
737 // Step 9. Null move search with verification search (~40 Elo)
740 && ss->staticEval >= beta - 36 * depth / ONE_PLY + 225
741 && (ss->ply >= thisThread->nmp_ply || ss->ply % 2 != thisThread->nmp_odd))
743 assert(eval - beta >= 0);
745 // Null move dynamic reduction based on depth and value
746 Depth R = ((823 + 67 * depth / ONE_PLY) / 256 + std::min((eval - beta) / PawnValueMg, 3)) * ONE_PLY;
748 ss->currentMove = MOVE_NULL;
749 ss->contHistory = thisThread->contHistory[NO_PIECE][0].get();
751 pos.do_null_move(st);
753 Value nullValue = -search<NonPV>(pos, ss+1, -beta, -beta+1, depth-R, !cutNode, true);
755 pos.undo_null_move();
757 if (nullValue >= beta)
759 // Do not return unproven mate scores
760 if (nullValue >= VALUE_MATE_IN_MAX_PLY)
763 if (abs(beta) < VALUE_KNOWN_WIN && (depth < 12 * ONE_PLY || thisThread->nmp_ply))
766 // Do verification search at high depths. Disable null move pruning
767 // for side to move for the first part of the remaining search tree.
768 thisThread->nmp_ply = ss->ply + 3 * (depth-R) / 4;
769 thisThread->nmp_odd = ss->ply % 2;
771 Value v = search<NonPV>(pos, ss, beta-1, beta, depth-R, false, true);
773 thisThread->nmp_odd = thisThread->nmp_ply = 0;
780 // Step 10. ProbCut (skipped when in check, ~10 Elo)
781 // If we have a good enough capture and a reduced search returns a value
782 // much above beta, we can (almost) safely prune the previous move.
784 && depth >= 5 * ONE_PLY
785 && abs(beta) < VALUE_MATE_IN_MAX_PLY)
787 assert(is_ok((ss-1)->currentMove));
789 Value rbeta = std::min(beta + 216 - 48 * improving, VALUE_INFINITE);
790 MovePicker mp(pos, ttMove, rbeta - ss->staticEval, &thisThread->captureHistory);
791 int probCutCount = 0;
793 while ( (move = mp.next_move()) != MOVE_NONE
799 ss->currentMove = move;
800 ss->contHistory = thisThread->contHistory[pos.moved_piece(move)][to_sq(move)].get();
802 assert(depth >= 5 * ONE_PLY);
804 pos.do_move(move, st);
806 // Perform a preliminary qsearch to verify that the move holds
807 value = -qsearch<NonPV>(pos, ss+1, -rbeta, -rbeta+1);
809 // If the qsearch held perform the regular search
811 value = -search<NonPV>(pos, ss+1, -rbeta, -rbeta+1, depth - 4 * ONE_PLY, !cutNode, false);
820 // Step 11. Internal iterative deepening (skipped when in check, ~2 Elo)
821 if ( depth >= 6 * ONE_PLY
823 && (PvNode || ss->staticEval + 128 >= beta))
825 Depth d = 3 * depth / 4 - 2 * ONE_PLY;
826 search<NT>(pos, ss, alpha, beta, d, cutNode, true);
828 tte = TT.probe(posKey, ttHit);
829 ttValue = ttHit ? value_from_tt(tte->value(), ss->ply) : VALUE_NONE;
830 ttMove = ttHit ? tte->move() : MOVE_NONE;
833 moves_loop: // When in check, search starts from here
835 const PieceToHistory* contHist[] = { (ss-1)->contHistory, (ss-2)->contHistory, nullptr, (ss-4)->contHistory };
836 Move countermove = thisThread->counterMoves[pos.piece_on(prevSq)][prevSq];
838 MovePicker mp(pos, ttMove, depth, &thisThread->mainHistory, &thisThread->captureHistory, contHist, countermove, ss->killers);
839 value = bestValue; // Workaround a bogus 'uninitialized' warning under gcc
843 pvExact = PvNode && ttHit && tte->bound() == BOUND_EXACT;
845 // Step 12. Loop through all pseudo-legal moves until no moves remain
846 // or a beta cutoff occurs.
847 while ((move = mp.next_move(skipQuiets)) != MOVE_NONE)
851 if (move == excludedMove)
854 // At root obey the "searchmoves" option and skip moves not listed in Root
855 // Move List. As a consequence any illegal move is also skipped. In MultiPV
856 // mode we also skip PV moves which have been already searched and those
857 // of lower "TB rank" if we are in a TB root position.
858 if (rootNode && !std::count(thisThread->rootMoves.begin() + thisThread->PVIdx,
859 thisThread->rootMoves.begin() + thisThread->PVLast, move))
862 ss->moveCount = ++moveCount;
864 if (rootNode && thisThread == Threads.main() && Time.elapsed() > 3000)
865 sync_cout << "info depth " << depth / ONE_PLY
866 << " currmove " << UCI::move(move, pos.is_chess960())
867 << " currmovenumber " << moveCount + thisThread->PVIdx << sync_endl;
869 (ss+1)->pv = nullptr;
871 extension = DEPTH_ZERO;
872 captureOrPromotion = pos.capture_or_promotion(move);
873 movedPiece = pos.moved_piece(move);
874 givesCheck = gives_check(pos, move);
876 moveCountPruning = depth < 16 * ONE_PLY
877 && moveCount >= FutilityMoveCounts[improving][depth / ONE_PLY];
879 // Step 13. Extensions (~70 Elo)
881 // Singular extension search (~60 Elo). If all moves but one fail low on a
882 // search of (alpha-s, beta-s), and just one fails high on (alpha, beta),
883 // then that move is singular and should be extended. To verify this we do
884 // a reduced search on on all the other moves but the ttMove and if the
885 // result is lower than ttValue minus a margin then we will extend the ttMove.
886 if ( depth >= 8 * ONE_PLY
889 && !excludedMove // Recursive singular search is not allowed
890 && ttValue != VALUE_NONE
891 && (tte->bound() & BOUND_LOWER)
892 && tte->depth() >= depth - 3 * ONE_PLY
895 Value rBeta = std::max(ttValue - 2 * depth / ONE_PLY, -VALUE_MATE);
896 ss->excludedMove = move;
897 value = search<NonPV>(pos, ss, rBeta - 1, rBeta, depth / 2, cutNode, true);
898 ss->excludedMove = MOVE_NONE;
903 else if ( givesCheck // Check extension (~2 Elo)
908 // Calculate new depth for this move
909 newDepth = depth - ONE_PLY + extension;
911 // Step 14. Pruning at shallow depth (~170 Elo)
913 && pos.non_pawn_material(pos.side_to_move())
914 && bestValue > VALUE_MATED_IN_MAX_PLY)
916 if ( !captureOrPromotion
918 && (!pos.advanced_pawn_push(move) || pos.non_pawn_material() >= Value(5000)))
920 // Move count based pruning (~30 Elo)
921 if (moveCountPruning)
927 // Reduced depth of the next LMR search
928 int lmrDepth = std::max(newDepth - reduction<PvNode>(improving, depth, moveCount), DEPTH_ZERO) / ONE_PLY;
930 // Countermoves based pruning (~20 Elo)
932 && (*contHist[0])[movedPiece][to_sq(move)] < CounterMovePruneThreshold
933 && (*contHist[1])[movedPiece][to_sq(move)] < CounterMovePruneThreshold)
936 // Futility pruning: parent node (~2 Elo)
939 && ss->staticEval + 256 + 200 * lmrDepth <= alpha)
942 // Prune moves with negative SEE (~10 Elo)
944 && !pos.see_ge(move, Value(-35 * lmrDepth * lmrDepth)))
947 else if ( depth < 7 * ONE_PLY // (~20 Elo)
949 && !pos.see_ge(move, -Value(CapturePruneMargin[depth / ONE_PLY])))
953 // Speculative prefetch as early as possible
954 prefetch(TT.first_entry(pos.key_after(move)));
956 // Check for legality just before making the move
957 if (!rootNode && !pos.legal(move))
959 ss->moveCount = --moveCount;
963 if (move == ttMove && captureOrPromotion)
966 // Update the current move (this must be done after singular extension search)
967 ss->currentMove = move;
968 ss->contHistory = thisThread->contHistory[movedPiece][to_sq(move)].get();
970 // Step 15. Make the move
971 pos.do_move(move, st, givesCheck);
973 // Step 16. Reduced depth search (LMR). If the move fails high it will be
974 // re-searched at full depth.
975 if ( depth >= 3 * ONE_PLY
977 && (!captureOrPromotion || moveCountPruning))
979 Depth r = reduction<PvNode>(improving, depth, moveCount);
981 if (captureOrPromotion) // (~5 Elo)
982 r -= r ? ONE_PLY : DEPTH_ZERO;
985 // Decrease reduction if opponent's move count is high (~5 Elo)
986 if ((ss-1)->moveCount > 15)
989 // Decrease reduction for exact PV nodes (~0 Elo)
993 // Increase reduction if ttMove is a capture (~0 Elo)
997 // Increase reduction for cut nodes (~5 Elo)
1001 // Decrease reduction for moves that escape a capture. Filter out
1002 // castling moves, because they are coded as "king captures rook" and
1003 // hence break make_move(). (~5 Elo)
1004 else if ( type_of(move) == NORMAL
1005 && !pos.see_ge(make_move(to_sq(move), from_sq(move))))
1008 ss->statScore = thisThread->mainHistory[~pos.side_to_move()][from_to(move)]
1009 + (*contHist[0])[movedPiece][to_sq(move)]
1010 + (*contHist[1])[movedPiece][to_sq(move)]
1011 + (*contHist[3])[movedPiece][to_sq(move)]
1014 // Decrease/increase reduction by comparing opponent's stat score (~10 Elo)
1015 if (ss->statScore >= 0 && (ss-1)->statScore < 0)
1018 else if ((ss-1)->statScore >= 0 && ss->statScore < 0)
1021 // Decrease/increase reduction for moves with a good/bad history (~30 Elo)
1022 r = std::max(DEPTH_ZERO, (r / ONE_PLY - ss->statScore / 20000) * ONE_PLY);
1025 Depth d = std::max(newDepth - r, ONE_PLY);
1027 value = -search<NonPV>(pos, ss+1, -(alpha+1), -alpha, d, true, false);
1029 doFullDepthSearch = (value > alpha && d != newDepth);
1032 doFullDepthSearch = !PvNode || moveCount > 1;
1034 // Step 17. Full depth search when LMR is skipped or fails high
1035 if (doFullDepthSearch)
1036 value = -search<NonPV>(pos, ss+1, -(alpha+1), -alpha, newDepth, !cutNode, false);
1038 // For PV nodes only, do a full PV search on the first move or after a fail
1039 // high (in the latter case search only if value < beta), otherwise let the
1040 // parent node fail low with value <= alpha and try another move.
1041 if (PvNode && (moveCount == 1 || (value > alpha && (rootNode || value < beta))))
1044 (ss+1)->pv[0] = MOVE_NONE;
1046 value = -search<PV>(pos, ss+1, -beta, -alpha, newDepth, false, false);
1049 // Step 18. Undo move
1050 pos.undo_move(move);
1052 assert(value > -VALUE_INFINITE && value < VALUE_INFINITE);
1054 // Step 19. Check for a new best move
1055 // Finished searching the move. If a stop occurred, the return value of
1056 // the search cannot be trusted, and we return immediately without
1057 // updating best move, PV and TT.
1058 if (Threads.stop.load(std::memory_order_relaxed))
1063 RootMove& rm = *std::find(thisThread->rootMoves.begin(),
1064 thisThread->rootMoves.end(), move);
1066 // PV move or new best move?
1067 if (moveCount == 1 || value > alpha)
1070 rm.selDepth = thisThread->selDepth;
1075 for (Move* m = (ss+1)->pv; *m != MOVE_NONE; ++m)
1076 rm.pv.push_back(*m);
1078 // We record how often the best move has been changed in each
1079 // iteration. This information is used for time management: When
1080 // the best move changes frequently, we allocate some more time.
1081 if (moveCount > 1 && thisThread == Threads.main())
1082 ++static_cast<MainThread*>(thisThread)->bestMoveChanges;
1085 // All other moves but the PV are set to the lowest value: this
1086 // is not a problem when sorting because the sort is stable and the
1087 // move position in the list is preserved - just the PV is pushed up.
1088 rm.score = -VALUE_INFINITE;
1091 if (value > bestValue)
1099 if (PvNode && !rootNode) // Update pv even in fail-high case
1100 update_pv(ss->pv, move, (ss+1)->pv);
1102 if (PvNode && value < beta) // Update alpha! Always alpha < beta
1106 assert(value >= beta); // Fail high
1107 ss->statScore = std::max(ss->statScore, 0);
1113 if (move != bestMove)
1115 if (captureOrPromotion && captureCount < 32)
1116 capturesSearched[captureCount++] = move;
1118 else if (!captureOrPromotion && quietCount < 64)
1119 quietsSearched[quietCount++] = move;
1123 // The following condition would detect a stop only after move loop has been
1124 // completed. But in this case bestValue is valid because we have fully
1125 // searched our subtree, and we can anyhow save the result in TT.
1131 // Step 20. Check for mate and stalemate
1132 // All legal moves have been searched and if there are no legal moves, it
1133 // must be a mate or a stalemate. If we are in a singular extension search then
1134 // return a fail low score.
1136 assert(moveCount || !inCheck || excludedMove || !MoveList<LEGAL>(pos).size());
1139 bestValue = excludedMove ? alpha
1140 : inCheck ? mated_in(ss->ply) : VALUE_DRAW;
1143 // Quiet best move: update move sorting heuristics
1144 if (!pos.capture_or_promotion(bestMove))
1145 update_quiet_stats(pos, ss, bestMove, quietsSearched, quietCount, stat_bonus(depth));
1147 update_capture_stats(pos, bestMove, capturesSearched, captureCount, stat_bonus(depth));
1149 // Extra penalty for a quiet TT move in previous ply when it gets refuted
1150 if ((ss-1)->moveCount == 1 && !pos.captured_piece())
1151 update_continuation_histories(ss-1, pos.piece_on(prevSq), prevSq, -stat_bonus(depth + ONE_PLY));
1153 // Bonus for prior countermove that caused the fail low
1154 else if ( depth >= 3 * ONE_PLY
1155 && !pos.captured_piece()
1156 && is_ok((ss-1)->currentMove))
1157 update_continuation_histories(ss-1, pos.piece_on(prevSq), prevSq, stat_bonus(depth));
1160 bestValue = std::min(bestValue, maxValue);
1163 tte->save(posKey, value_to_tt(bestValue, ss->ply),
1164 bestValue >= beta ? BOUND_LOWER :
1165 PvNode && bestMove ? BOUND_EXACT : BOUND_UPPER,
1166 depth, bestMove, ss->staticEval, TT.generation());
1168 assert(bestValue > -VALUE_INFINITE && bestValue < VALUE_INFINITE);
1174 // qsearch() is the quiescence search function, which is called by the main
1175 // search function with depth zero, or recursively with depth less than ONE_PLY.
1176 template <NodeType NT>
1177 Value qsearch(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth) {
1179 constexpr bool PvNode = NT == PV;
1181 assert(alpha >= -VALUE_INFINITE && alpha < beta && beta <= VALUE_INFINITE);
1182 assert(PvNode || (alpha == beta - 1));
1183 assert(depth <= DEPTH_ZERO);
1184 assert(depth / ONE_PLY * ONE_PLY == depth);
1190 Move ttMove, move, bestMove;
1192 Value bestValue, value, ttValue, futilityValue, futilityBase, oldAlpha;
1193 bool ttHit, inCheck, givesCheck, evasionPrunable;
1198 oldAlpha = alpha; // To flag BOUND_EXACT when eval above alpha and no available moves
1200 ss->pv[0] = MOVE_NONE;
1203 (ss+1)->ply = ss->ply + 1;
1204 ss->currentMove = bestMove = MOVE_NONE;
1205 inCheck = pos.checkers();
1208 // Check for an immediate draw or maximum ply reached
1209 if ( pos.is_draw(ss->ply)
1210 || ss->ply >= MAX_PLY)
1211 return (ss->ply >= MAX_PLY && !inCheck) ? evaluate(pos) : VALUE_DRAW;
1213 assert(0 <= ss->ply && ss->ply < MAX_PLY);
1215 // Decide whether or not to include checks: this fixes also the type of
1216 // TT entry depth that we are going to use. Note that in qsearch we use
1217 // only two types of depth in TT: DEPTH_QS_CHECKS or DEPTH_QS_NO_CHECKS.
1218 ttDepth = inCheck || depth >= DEPTH_QS_CHECKS ? DEPTH_QS_CHECKS
1219 : DEPTH_QS_NO_CHECKS;
1220 // Transposition table lookup
1222 tte = TT.probe(posKey, ttHit);
1223 ttValue = ttHit ? value_from_tt(tte->value(), ss->ply) : VALUE_NONE;
1224 ttMove = ttHit ? tte->move() : MOVE_NONE;
1228 && tte->depth() >= ttDepth
1229 && ttValue != VALUE_NONE // Only in case of TT access race
1230 && (ttValue >= beta ? (tte->bound() & BOUND_LOWER)
1231 : (tte->bound() & BOUND_UPPER)))
1234 // Evaluate the position statically
1237 ss->staticEval = VALUE_NONE;
1238 bestValue = futilityBase = -VALUE_INFINITE;
1244 // Never assume anything on values stored in TT
1245 if ((ss->staticEval = bestValue = tte->eval()) == VALUE_NONE)
1246 ss->staticEval = bestValue = evaluate(pos);
1248 // Can ttValue be used as a better position evaluation?
1249 if ( ttValue != VALUE_NONE
1250 && (tte->bound() & (ttValue > bestValue ? BOUND_LOWER : BOUND_UPPER)))
1251 bestValue = ttValue;
1254 ss->staticEval = bestValue =
1255 (ss-1)->currentMove != MOVE_NULL ? evaluate(pos)
1256 : -(ss-1)->staticEval + 2 * Eval::Tempo;
1258 // Stand pat. Return immediately if static value is at least beta
1259 if (bestValue >= beta)
1262 tte->save(posKey, value_to_tt(bestValue, ss->ply), BOUND_LOWER,
1263 DEPTH_NONE, MOVE_NONE, ss->staticEval, TT.generation());
1268 if (PvNode && bestValue > alpha)
1271 futilityBase = bestValue + 128;
1274 // Initialize a MovePicker object for the current position, and prepare
1275 // to search the moves. Because the depth is <= 0 here, only captures,
1276 // queen promotions and checks (only if depth >= DEPTH_QS_CHECKS) will
1278 MovePicker mp(pos, ttMove, depth, &pos.this_thread()->mainHistory, &pos.this_thread()->captureHistory, to_sq((ss-1)->currentMove));
1280 // Loop through the moves until no moves remain or a beta cutoff occurs
1281 while ((move = mp.next_move()) != MOVE_NONE)
1283 assert(is_ok(move));
1285 givesCheck = gives_check(pos, move);
1292 && futilityBase > -VALUE_KNOWN_WIN
1293 && !pos.advanced_pawn_push(move))
1295 assert(type_of(move) != ENPASSANT); // Due to !pos.advanced_pawn_push
1297 futilityValue = futilityBase + PieceValue[EG][pos.piece_on(to_sq(move))];
1299 if (futilityValue <= alpha)
1301 bestValue = std::max(bestValue, futilityValue);
1305 if (futilityBase <= alpha && !pos.see_ge(move, VALUE_ZERO + 1))
1307 bestValue = std::max(bestValue, futilityBase);
1312 // Detect non-capture evasions that are candidates to be pruned
1313 evasionPrunable = inCheck
1314 && (depth != DEPTH_ZERO || moveCount > 2)
1315 && bestValue > VALUE_MATED_IN_MAX_PLY
1316 && !pos.capture(move);
1318 // Don't search moves with negative SEE values
1319 if ( (!inCheck || evasionPrunable)
1320 && !pos.see_ge(move))
1323 // Speculative prefetch as early as possible
1324 prefetch(TT.first_entry(pos.key_after(move)));
1326 // Check for legality just before making the move
1327 if (!pos.legal(move))
1333 ss->currentMove = move;
1335 // Make and search the move
1336 pos.do_move(move, st, givesCheck);
1337 value = -qsearch<NT>(pos, ss+1, -beta, -alpha, depth - ONE_PLY);
1338 pos.undo_move(move);
1340 assert(value > -VALUE_INFINITE && value < VALUE_INFINITE);
1342 // Check for a new best move
1343 if (value > bestValue)
1349 if (PvNode) // Update pv even in fail-high case
1350 update_pv(ss->pv, move, (ss+1)->pv);
1352 if (PvNode && value < beta) // Update alpha here!
1359 tte->save(posKey, value_to_tt(value, ss->ply), BOUND_LOWER,
1360 ttDepth, move, ss->staticEval, TT.generation());
1368 // All legal moves have been searched. A special case: If we're in check
1369 // and no legal moves were found, it is checkmate.
1370 if (inCheck && bestValue == -VALUE_INFINITE)
1371 return mated_in(ss->ply); // Plies to mate from the root
1373 tte->save(posKey, value_to_tt(bestValue, ss->ply),
1374 PvNode && bestValue > oldAlpha ? BOUND_EXACT : BOUND_UPPER,
1375 ttDepth, bestMove, ss->staticEval, TT.generation());
1377 assert(bestValue > -VALUE_INFINITE && bestValue < VALUE_INFINITE);
1383 // value_to_tt() adjusts a mate score from "plies to mate from the root" to
1384 // "plies to mate from the current position". Non-mate scores are unchanged.
1385 // The function is called before storing a value in the transposition table.
1387 Value value_to_tt(Value v, int ply) {
1389 assert(v != VALUE_NONE);
1391 return v >= VALUE_MATE_IN_MAX_PLY ? v + ply
1392 : v <= VALUE_MATED_IN_MAX_PLY ? v - ply : v;
1396 // value_from_tt() is the inverse of value_to_tt(): It adjusts a mate score
1397 // from the transposition table (which refers to the plies to mate/be mated
1398 // from current position) to "plies to mate/be mated from the root".
1400 Value value_from_tt(Value v, int ply) {
1402 return v == VALUE_NONE ? VALUE_NONE
1403 : v >= VALUE_MATE_IN_MAX_PLY ? v - ply
1404 : v <= VALUE_MATED_IN_MAX_PLY ? v + ply : v;
1408 // update_pv() adds current move and appends child pv[]
1410 void update_pv(Move* pv, Move move, Move* childPv) {
1412 for (*pv++ = move; childPv && *childPv != MOVE_NONE; )
1418 // update_continuation_histories() updates histories of the move pairs formed
1419 // by moves at ply -1, -2, and -4 with current move.
1421 void update_continuation_histories(Stack* ss, Piece pc, Square to, int bonus) {
1423 for (int i : {1, 2, 4})
1424 if (is_ok((ss-i)->currentMove))
1425 (*(ss-i)->contHistory)[pc][to] << bonus;
1429 // update_capture_stats() updates move sorting heuristics when a new capture best move is found
1431 void update_capture_stats(const Position& pos, Move move,
1432 Move* captures, int captureCnt, int bonus) {
1434 CapturePieceToHistory& captureHistory = pos.this_thread()->captureHistory;
1435 Piece moved_piece = pos.moved_piece(move);
1436 PieceType captured = type_of(pos.piece_on(to_sq(move)));
1437 captureHistory[moved_piece][to_sq(move)][captured] << bonus;
1439 // Decrease all the other played capture moves
1440 for (int i = 0; i < captureCnt; ++i)
1442 moved_piece = pos.moved_piece(captures[i]);
1443 captured = type_of(pos.piece_on(to_sq(captures[i])));
1444 captureHistory[moved_piece][to_sq(captures[i])][captured] << -bonus;
1449 // update_quiet_stats() updates move sorting heuristics when a new quiet best move is found
1451 void update_quiet_stats(const Position& pos, Stack* ss, Move move,
1452 Move* quiets, int quietsCnt, int bonus) {
1454 if (ss->killers[0] != move)
1456 ss->killers[1] = ss->killers[0];
1457 ss->killers[0] = move;
1460 Color us = pos.side_to_move();
1461 Thread* thisThread = pos.this_thread();
1462 thisThread->mainHistory[us][from_to(move)] << bonus;
1463 update_continuation_histories(ss, pos.moved_piece(move), to_sq(move), bonus);
1465 if (is_ok((ss-1)->currentMove))
1467 Square prevSq = to_sq((ss-1)->currentMove);
1468 thisThread->counterMoves[pos.piece_on(prevSq)][prevSq] = move;
1471 // Decrease all the other played quiet moves
1472 for (int i = 0; i < quietsCnt; ++i)
1474 thisThread->mainHistory[us][from_to(quiets[i])] << -bonus;
1475 update_continuation_histories(ss, pos.moved_piece(quiets[i]), to_sq(quiets[i]), -bonus);
1479 // When playing with strength handicap, choose best move among a set of RootMoves
1480 // using a statistical rule dependent on 'level'. Idea by Heinz van Saanen.
1482 Move Skill::pick_best(size_t multiPV) {
1484 const RootMoves& rootMoves = Threads.main()->rootMoves;
1485 static PRNG rng(now()); // PRNG sequence should be non-deterministic
1487 // RootMoves are already sorted by score in descending order
1488 Value topScore = rootMoves[0].score;
1489 int delta = std::min(topScore - rootMoves[multiPV - 1].score, PawnValueMg);
1490 int weakness = 120 - 2 * level;
1491 int maxScore = -VALUE_INFINITE;
1493 // Choose best move. For each move score we add two terms, both dependent on
1494 // weakness. One is deterministic and bigger for weaker levels, and one is
1495 // random. Then we choose the move with the resulting highest score.
1496 for (size_t i = 0; i < multiPV; ++i)
1498 // This is our magic formula
1499 int push = ( weakness * int(topScore - rootMoves[i].score)
1500 + delta * (rng.rand<unsigned>() % weakness)) / 128;
1502 if (rootMoves[i].score + push >= maxScore)
1504 maxScore = rootMoves[i].score + push;
1505 best = rootMoves[i].pv[0];
1514 /// MainThread::check_time() is used to print debug info and, more importantly,
1515 /// to detect when we are out of available time and thus stop the search.
1517 void MainThread::check_time() {
1522 // When using nodes, ensure checking rate is not lower than 0.1% of nodes
1523 callsCnt = Limits.nodes ? std::min(1024, int(Limits.nodes / 1024)) : 1024;
1525 static TimePoint lastInfoTime = now();
1527 TimePoint elapsed = Time.elapsed();
1528 TimePoint tick = Limits.startTime + elapsed;
1530 if (tick - lastInfoTime >= 1000)
1532 lastInfoTime = tick;
1536 // We should not stop pondering until told so by the GUI
1540 if ( (Limits.use_time_management() && elapsed > Time.maximum() - 10)
1541 || (Limits.movetime && elapsed >= Limits.movetime)
1542 || (Limits.nodes && Threads.nodes_searched() >= (uint64_t)Limits.nodes))
1543 Threads.stop = true;
1547 /// UCI::pv() formats PV information according to the UCI protocol. UCI requires
1548 /// that all (if any) unsearched PV lines are sent using a previous search score.
1550 string UCI::pv(const Position& pos, Depth depth, Value alpha, Value beta) {
1552 std::stringstream ss;
1553 TimePoint elapsed = Time.elapsed() + 1;
1554 const RootMoves& rootMoves = pos.this_thread()->rootMoves;
1555 size_t PVIdx = pos.this_thread()->PVIdx;
1556 size_t multiPV = std::min((size_t)Options["MultiPV"], rootMoves.size());
1557 uint64_t nodesSearched = Threads.nodes_searched();
1558 uint64_t tbHits = Threads.tb_hits() + (TB::RootInTB ? rootMoves.size() : 0);
1560 for (size_t i = 0; i < multiPV; ++i)
1562 bool updated = (i <= PVIdx && rootMoves[i].score != -VALUE_INFINITE);
1564 if (depth == ONE_PLY && !updated)
1567 Depth d = updated ? depth : depth - ONE_PLY;
1568 Value v = updated ? rootMoves[i].score : rootMoves[i].previousScore;
1570 bool tb = TB::RootInTB && abs(v) < VALUE_MATE - MAX_PLY;
1571 v = tb ? rootMoves[i].TBScore : v;
1573 if (ss.rdbuf()->in_avail()) // Not at first line
1577 << " depth " << d / ONE_PLY
1578 << " seldepth " << rootMoves[i].selDepth
1579 << " multipv " << i + 1
1580 << " score " << UCI::value(v);
1582 if (!tb && i == PVIdx)
1583 ss << (v >= beta ? " lowerbound" : v <= alpha ? " upperbound" : "");
1585 ss << " nodes " << nodesSearched
1586 << " nps " << nodesSearched * 1000 / elapsed;
1588 if (elapsed > 1000) // Earlier makes little sense
1589 ss << " hashfull " << TT.hashfull();
1591 ss << " tbhits " << tbHits
1592 << " time " << elapsed
1595 for (Move m : rootMoves[i].pv)
1596 ss << " " << UCI::move(m, pos.is_chess960());
1603 /// RootMove::extract_ponder_from_tt() is called in case we have no ponder move
1604 /// before exiting the search, for instance, in case we stop the search during a
1605 /// fail high at root. We try hard to have a ponder move to return to the GUI,
1606 /// otherwise in case of 'ponder on' we have nothing to think on.
1608 bool RootMove::extract_ponder_from_tt(Position& pos) {
1613 assert(pv.size() == 1);
1618 pos.do_move(pv[0], st);
1619 TTEntry* tte = TT.probe(pos.key(), ttHit);
1623 Move m = tte->move(); // Local copy to be SMP safe
1624 if (MoveList<LEGAL>(pos).contains(m))
1628 pos.undo_move(pv[0]);
1629 return pv.size() > 1;
1632 void Tablebases::rank_root_moves(Position& pos, Search::RootMoves& rootMoves) {
1635 UseRule50 = Options["Syzygy50MoveRule"];
1636 ProbeDepth = Options["SyzygyProbeDepth"] * ONE_PLY;
1637 Cardinality = Options["SyzygyProbeLimit"];
1638 bool dtz_available = true;
1640 // Tables with fewer pieces than SyzygyProbeLimit are searched with
1641 // ProbeDepth == DEPTH_ZERO
1642 if (Cardinality > MaxCardinality)
1644 Cardinality = MaxCardinality;
1645 ProbeDepth = DEPTH_ZERO;
1648 if (Cardinality >= popcount(pos.pieces()) && !pos.can_castle(ANY_CASTLING))
1650 // Rank moves using DTZ tables
1651 RootInTB = root_probe(pos, rootMoves);
1655 // DTZ tables are missing; try to rank moves using WDL tables
1656 dtz_available = false;
1657 RootInTB = root_probe_wdl(pos, rootMoves);
1663 // Sort moves according to TB rank
1664 std::sort(rootMoves.begin(), rootMoves.end(),
1665 [](const RootMove &a, const RootMove &b) { return a.TBRank > b.TBRank; } );
1667 // Probe during search only if DTZ is not available and we are winning
1668 if (dtz_available || rootMoves[0].TBScore <= VALUE_DRAW)
1673 // Assign the same rank to all moves
1674 for (auto& m : rootMoves)