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) 2015-2016 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
37 #include "syzygy/tbprobe.h"
45 namespace Tablebases {
55 namespace TB = Tablebases;
59 using namespace Search;
63 // Different node types, used as a template parameter
64 enum NodeType { NonPV, PV };
66 // Razoring and futility margin based on depth
67 const int razor_margin[4] = { 483, 570, 603, 554 };
68 Value futility_margin(Depth d) { return Value(200 * d); }
70 // Futility and reductions lookup tables, initialized at startup
71 int FutilityMoveCounts[2][16]; // [improving][depth]
72 Depth Reductions[2][2][64][64]; // [pv][improving][depth][moveNumber]
74 template <bool PvNode> Depth reduction(bool i, Depth d, int mn) {
75 return Reductions[PvNode][i][std::min(d, 63 * ONE_PLY)][std::min(mn, 63)];
78 // Skill structure is used to implement strength limit
80 Skill(int l) : level(l) {}
81 bool enabled() const { return level < 20; }
82 bool time_to_pick(Depth depth) const { return depth / ONE_PLY == 1 + level; }
83 Move best_move(size_t multiPV) { return best ? best : pick_best(multiPV); }
84 Move pick_best(size_t multiPV);
87 Move best = MOVE_NONE;
90 // EasyMoveManager structure is used to detect an 'easy move'. When the PV is
91 // stable across multiple search iterations, we can quickly return the best move.
92 struct EasyMoveManager {
97 pv[0] = pv[1] = pv[2] = MOVE_NONE;
100 Move get(Key key) const {
101 return expectedPosKey == key ? pv[2] : MOVE_NONE;
104 void update(Position& pos, const std::vector<Move>& newPv) {
106 assert(newPv.size() >= 3);
108 // Keep track of how many times in a row the 3rd ply remains stable
109 stableCnt = (newPv[2] == pv[2]) ? stableCnt + 1 : 0;
111 if (!std::equal(newPv.begin(), newPv.begin() + 3, pv))
113 std::copy(newPv.begin(), newPv.begin() + 3, pv);
116 pos.do_move(newPv[0], st[0], pos.gives_check(newPv[0], CheckInfo(pos)));
117 pos.do_move(newPv[1], st[1], pos.gives_check(newPv[1], CheckInfo(pos)));
118 expectedPosKey = pos.key();
119 pos.undo_move(newPv[1]);
120 pos.undo_move(newPv[0]);
129 // Set of rows with half bits set to 1 and half to 0. It is used to allocate
130 // the search depths across the threads.
131 typedef std::vector<int> Row;
133 const Row HalfDensity[] = {
146 {0, 0, 0, 0, 1, 1, 1, 1},
147 {0, 0, 0, 1, 1, 1, 1, 0},
148 {0, 0, 1, 1, 1, 1, 0 ,0},
149 {0, 1, 1, 1, 1, 0, 0 ,0},
150 {1, 1, 1, 1, 0, 0, 0 ,0},
151 {1, 1, 1, 0, 0, 0, 0 ,1},
152 {1, 1, 0, 0, 0, 0, 1 ,1},
153 {1, 0, 0, 0, 0, 1, 1 ,1},
156 const size_t HalfDensitySize = std::extent<decltype(HalfDensity)>::value;
158 EasyMoveManager EasyMove;
159 Value DrawValue[COLOR_NB];
160 CounterMoveHistoryStats CounterMoveHistory;
162 template <NodeType NT>
163 Value search(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth, bool cutNode);
165 template <NodeType NT, bool InCheck>
166 Value qsearch(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth);
168 Value value_to_tt(Value v, int ply);
169 Value value_from_tt(Value v, int ply);
170 void update_pv(Move* pv, Move move, Move* childPv);
171 void update_stats(const Position& pos, Stack* ss, Move move, Depth depth, Move* quiets, int quietsCnt);
177 /// Search::init() is called during startup to initialize various lookup tables
179 void Search::init() {
181 for (int imp = 0; imp <= 1; ++imp)
182 for (int d = 1; d < 64; ++d)
183 for (int mc = 1; mc < 64; ++mc)
185 double r = log(d) * log(mc) / 2;
189 Reductions[NonPV][imp][d][mc] = int(std::round(r)) * ONE_PLY;
190 Reductions[PV][imp][d][mc] = std::max(Reductions[NonPV][imp][d][mc] - ONE_PLY, DEPTH_ZERO);
192 // Increase reduction for non-PV nodes when eval is not improving
193 if (!imp && Reductions[NonPV][imp][d][mc] >= 2 * ONE_PLY)
194 Reductions[NonPV][imp][d][mc] += ONE_PLY;
197 for (int d = 0; d < 16; ++d)
199 FutilityMoveCounts[0][d] = int(2.4 + 0.773 * pow(d + 0.00, 1.8));
200 FutilityMoveCounts[1][d] = int(2.9 + 1.045 * pow(d + 0.49, 1.8));
205 /// Search::clear() resets search state to zero, to obtain reproducible results
207 void Search::clear() {
210 CounterMoveHistory.clear();
212 for (Thread* th : Threads)
215 th->counterMoves.clear();
218 Threads.main()->previousScore = VALUE_INFINITE;
222 /// Search::perft() is our utility to verify move generation. All the leaf nodes
223 /// up to the given depth are generated and counted, and the sum is returned.
225 uint64_t Search::perft(Position& pos, Depth depth) {
228 uint64_t cnt, nodes = 0;
230 const bool leaf = (depth == 2 * ONE_PLY);
232 for (const auto& m : MoveList<LEGAL>(pos))
234 if (Root && depth <= ONE_PLY)
238 pos.do_move(m, st, pos.gives_check(m, ci));
239 cnt = leaf ? MoveList<LEGAL>(pos).size() : perft<false>(pos, depth - ONE_PLY);
244 sync_cout << UCI::move(m, pos.is_chess960()) << ": " << cnt << sync_endl;
249 template uint64_t Search::perft<true>(Position&, Depth);
252 /// MainThread::search() is called by the main thread when the program receives
253 /// the UCI 'go' command. It searches from the root position and outputs the "bestmove".
255 void MainThread::search() {
257 Color us = rootPos.side_to_move();
258 Time.init(Limits, us, rootPos.game_ply());
260 int contempt = Options["Contempt"] * PawnValueEg / 100; // From centipawns
261 DrawValue[ us] = VALUE_DRAW - Value(contempt);
262 DrawValue[~us] = VALUE_DRAW + Value(contempt);
264 if (rootMoves.empty())
266 rootMoves.push_back(RootMove(MOVE_NONE));
267 sync_cout << "info depth 0 score "
268 << UCI::value(rootPos.checkers() ? -VALUE_MATE : VALUE_DRAW)
273 for (Thread* th : Threads)
275 th->start_searching();
277 Thread::search(); // Let's start searching!
280 // When playing in 'nodes as time' mode, subtract the searched nodes from
281 // the available ones before exiting.
283 Time.availableNodes += Limits.inc[us] - Threads.nodes_searched();
285 // When we reach the maximum depth, we can arrive here without a raise of
286 // Signals.stop. However, if we are pondering or in an infinite search,
287 // the UCI protocol states that we shouldn't print the best move before the
288 // GUI sends a "stop" or "ponderhit" command. We therefore simply wait here
289 // until the GUI sends one of those commands (which also raises Signals.stop).
290 if (!Signals.stop && (Limits.ponder || Limits.infinite))
292 Signals.stopOnPonderhit = true;
296 // Stop the threads if not already stopped
299 // Wait until all threads have finished
300 for (Thread* th : Threads)
302 th->wait_for_search_finished();
304 // Check if there are threads with a better score than main thread
305 Thread* bestThread = this;
306 if ( !this->easyMovePlayed
307 && Options["MultiPV"] == 1
309 && !Skill(Options["Skill Level"]).enabled()
310 && rootMoves[0].pv[0] != MOVE_NONE)
312 for (Thread* th : Threads)
313 if ( th->completedDepth > bestThread->completedDepth
314 && th->rootMoves[0].score > bestThread->rootMoves[0].score)
318 previousScore = bestThread->rootMoves[0].score;
320 // Send new PV when needed
321 if (bestThread != this)
322 sync_cout << UCI::pv(bestThread->rootPos, bestThread->completedDepth, -VALUE_INFINITE, VALUE_INFINITE) << sync_endl;
324 sync_cout << "bestmove " << UCI::move(bestThread->rootMoves[0].pv[0], rootPos.is_chess960());
326 if (bestThread->rootMoves[0].pv.size() > 1 || bestThread->rootMoves[0].extract_ponder_from_tt(rootPos))
327 std::cout << " ponder " << UCI::move(bestThread->rootMoves[0].pv[1], rootPos.is_chess960());
329 std::cout << sync_endl;
333 // Thread::search() is the main iterative deepening loop. It calls search()
334 // repeatedly with increasing depth until the allocated thinking time has been
335 // consumed, the user stops the search, or the maximum search depth is reached.
337 void Thread::search() {
339 Stack stack[MAX_PLY+7], *ss = stack+5; // To allow referencing (ss-5) and (ss+2)
340 Value bestValue, alpha, beta, delta;
341 Move easyMove = MOVE_NONE;
342 MainThread* mainThread = (this == Threads.main() ? Threads.main() : nullptr);
344 std::memset(ss-5, 0, 8 * sizeof(Stack));
346 bestValue = delta = alpha = -VALUE_INFINITE;
347 beta = VALUE_INFINITE;
348 completedDepth = DEPTH_ZERO;
352 easyMove = EasyMove.get(rootPos.key());
354 mainThread->easyMovePlayed = mainThread->failedLow = false;
355 mainThread->bestMoveChanges = 0;
359 size_t multiPV = Options["MultiPV"];
360 Skill skill(Options["Skill Level"]);
362 // When playing with strength handicap enable MultiPV search that we will
363 // use behind the scenes to retrieve a set of possible moves.
365 multiPV = std::max(multiPV, (size_t)4);
367 multiPV = std::min(multiPV, rootMoves.size());
369 // Iterative deepening loop until requested to stop or the target depth is reached.
370 while (++rootDepth < DEPTH_MAX && !Signals.stop && (!Limits.depth || Threads.main()->rootDepth <= Limits.depth))
372 // Set up the new depths for the helper threads skipping on average every
373 // 2nd ply (using a half-density matrix).
376 const Row& row = HalfDensity[(idx - 1) % HalfDensitySize];
377 if (row[(rootDepth + rootPos.game_ply()) % row.size()])
381 // Age out PV variability metric
383 mainThread->bestMoveChanges *= 0.505, mainThread->failedLow = false;
385 // Save the last iteration's scores before first PV line is searched and
386 // all the move scores except the (new) PV are set to -VALUE_INFINITE.
387 for (RootMove& rm : rootMoves)
388 rm.previousScore = rm.score;
390 // MultiPV loop. We perform a full root search for each PV line
391 for (PVIdx = 0; PVIdx < multiPV && !Signals.stop; ++PVIdx)
393 // Reset aspiration window starting size
394 if (rootDepth >= 5 * ONE_PLY)
397 alpha = std::max(rootMoves[PVIdx].previousScore - delta,-VALUE_INFINITE);
398 beta = std::min(rootMoves[PVIdx].previousScore + delta, VALUE_INFINITE);
401 // Start with a small aspiration window and, in the case of a fail
402 // high/low, re-search with a bigger window until we're not failing
406 bestValue = ::search<PV>(rootPos, ss, alpha, beta, rootDepth, false);
408 // Bring the best move to the front. It is critical that sorting
409 // is done with a stable algorithm because all the values but the
410 // first and eventually the new best one are set to -VALUE_INFINITE
411 // and we want to keep the same order for all the moves except the
412 // new PV that goes to the front. Note that in case of MultiPV
413 // search the already searched PV lines are preserved.
414 std::stable_sort(rootMoves.begin() + PVIdx, rootMoves.end());
416 // If search has been stopped, break immediately. Sorting and
417 // writing PV back to TT is safe because RootMoves is still
418 // valid, although it refers to the previous iteration.
422 // When failing high/low give some update (without cluttering
423 // the UI) before a re-search.
426 && (bestValue <= alpha || bestValue >= beta)
427 && Time.elapsed() > 3000)
428 sync_cout << UCI::pv(rootPos, rootDepth, alpha, beta) << sync_endl;
430 // In case of failing low/high increase aspiration window and
431 // re-search, otherwise exit the loop.
432 if (bestValue <= alpha)
434 beta = (alpha + beta) / 2;
435 alpha = std::max(bestValue - delta, -VALUE_INFINITE);
439 mainThread->failedLow = true;
440 Signals.stopOnPonderhit = false;
443 else if (bestValue >= beta)
445 alpha = (alpha + beta) / 2;
446 beta = std::min(bestValue + delta, VALUE_INFINITE);
451 delta += delta / 4 + 5;
453 assert(alpha >= -VALUE_INFINITE && beta <= VALUE_INFINITE);
456 // Sort the PV lines searched so far and update the GUI
457 std::stable_sort(rootMoves.begin(), rootMoves.begin() + PVIdx + 1);
463 sync_cout << "info nodes " << Threads.nodes_searched()
464 << " time " << Time.elapsed() << sync_endl;
466 else if (PVIdx + 1 == multiPV || Time.elapsed() > 3000)
467 sync_cout << UCI::pv(rootPos, rootDepth, alpha, beta) << sync_endl;
471 completedDepth = rootDepth;
476 // If skill level is enabled and time is up, pick a sub-optimal best move
477 if (skill.enabled() && skill.time_to_pick(rootDepth))
478 skill.pick_best(multiPV);
480 // Have we found a "mate in x"?
482 && bestValue >= VALUE_MATE_IN_MAX_PLY
483 && VALUE_MATE - bestValue <= 2 * Limits.mate)
486 // Do we have time for the next iteration? Can we stop searching now?
487 if (Limits.use_time_management())
489 if (!Signals.stop && !Signals.stopOnPonderhit)
491 // Stop the search if only one legal move is available, or if all
492 // of the available time has been used, or if we matched an easyMove
493 // from the previous search and just did a fast verification.
494 const int F[] = { mainThread->failedLow,
495 bestValue - mainThread->previousScore };
497 int improvingFactor = std::max(229, std::min(715, 357 + 119 * F[0] - 6 * F[1]));
498 double unstablePvFactor = 1 + mainThread->bestMoveChanges;
500 bool doEasyMove = rootMoves[0].pv[0] == easyMove
501 && mainThread->bestMoveChanges < 0.03
502 && Time.elapsed() > Time.optimum() * 5 / 42;
504 if ( rootMoves.size() == 1
505 || Time.elapsed() > Time.optimum() * unstablePvFactor * improvingFactor / 628
506 || (mainThread->easyMovePlayed = doEasyMove))
508 // If we are allowed to ponder do not stop the search now but
509 // keep pondering until the GUI sends "ponderhit" or "stop".
511 Signals.stopOnPonderhit = true;
517 if (rootMoves[0].pv.size() >= 3)
518 EasyMove.update(rootPos, rootMoves[0].pv);
527 // Clear any candidate easy move that wasn't stable for the last search
528 // iterations; the second condition prevents consecutive fast moves.
529 if (EasyMove.stableCnt < 6 || mainThread->easyMovePlayed)
532 // If skill level is enabled, swap best PV line with the sub-optimal one
534 std::swap(rootMoves[0], *std::find(rootMoves.begin(),
535 rootMoves.end(), skill.best_move(multiPV)));
541 // search<>() is the main search function for both PV and non-PV nodes
543 template <NodeType NT>
544 Value search(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth, bool cutNode) {
546 const bool PvNode = NT == PV;
547 const bool rootNode = PvNode && (ss-1)->ply == 0;
549 assert(-VALUE_INFINITE <= alpha && alpha < beta && beta <= VALUE_INFINITE);
550 assert(PvNode || (alpha == beta - 1));
551 assert(DEPTH_ZERO < depth && depth < DEPTH_MAX);
552 assert(!(PvNode && cutNode));
554 Move pv[MAX_PLY+1], quietsSearched[64];
558 Move ttMove, move, excludedMove, bestMove;
559 Depth extension, newDepth, predictedDepth;
560 Value bestValue, value, ttValue, eval, nullValue;
561 bool ttHit, inCheck, givesCheck, singularExtensionNode, improving;
562 bool captureOrPromotion, doFullDepthSearch, moveCountPruning;
564 int moveCount, quietCount;
566 // Step 1. Initialize node
567 Thread* thisThread = pos.this_thread();
568 inCheck = pos.checkers();
569 moveCount = quietCount = ss->moveCount = 0;
570 bestValue = -VALUE_INFINITE;
571 ss->ply = (ss-1)->ply + 1;
573 // Check for the available remaining time
574 if (thisThread->resetCalls.load(std::memory_order_relaxed))
576 thisThread->resetCalls = false;
577 thisThread->callsCnt = 0;
579 if (++thisThread->callsCnt > 4096)
581 for (Thread* th : Threads)
582 th->resetCalls = true;
587 // Used to send selDepth info to GUI
588 if (PvNode && thisThread->maxPly < ss->ply)
589 thisThread->maxPly = ss->ply;
593 // Step 2. Check for aborted search and immediate draw
594 if (Signals.stop.load(std::memory_order_relaxed) || pos.is_draw() || ss->ply >= MAX_PLY)
595 return ss->ply >= MAX_PLY && !inCheck ? evaluate(pos)
596 : DrawValue[pos.side_to_move()];
598 // Step 3. Mate distance pruning. Even if we mate at the next move our score
599 // would be at best mate_in(ss->ply+1), but if alpha is already bigger because
600 // a shorter mate was found upward in the tree then there is no need to search
601 // because we will never beat the current alpha. Same logic but with reversed
602 // signs applies also in the opposite condition of being mated instead of giving
603 // mate. In this case return a fail-high score.
604 alpha = std::max(mated_in(ss->ply), alpha);
605 beta = std::min(mate_in(ss->ply+1), beta);
610 assert(0 <= ss->ply && ss->ply < MAX_PLY);
612 ss->currentMove = (ss+1)->excludedMove = bestMove = MOVE_NONE;
613 ss->counterMoves = nullptr;
614 (ss+1)->skipEarlyPruning = false;
615 (ss+2)->killers[0] = (ss+2)->killers[1] = MOVE_NONE;
617 // Step 4. Transposition table lookup. We don't want the score of a partial
618 // search to overwrite a previous full search TT value, so we use a different
619 // position key in case of an excluded move.
620 excludedMove = ss->excludedMove;
621 posKey = excludedMove ? pos.exclusion_key() : pos.key();
622 tte = TT.probe(posKey, ttHit);
623 ttValue = ttHit ? value_from_tt(tte->value(), ss->ply) : VALUE_NONE;
624 ttMove = rootNode ? thisThread->rootMoves[thisThread->PVIdx].pv[0]
625 : ttHit ? tte->move() : MOVE_NONE;
627 // At non-PV nodes we check for an early TT cutoff
630 && tte->depth() >= depth
631 && ttValue != VALUE_NONE // Possible in case of TT access race
632 && (ttValue >= beta ? (tte->bound() & BOUND_LOWER)
633 : (tte->bound() & BOUND_UPPER)))
635 ss->currentMove = ttMove; // Can be MOVE_NONE
637 // If ttMove is quiet, update killers, history, counter move on TT hit
638 if (ttValue >= beta && ttMove && !pos.capture_or_promotion(ttMove))
639 update_stats(pos, ss, ttMove, depth, nullptr, 0);
644 // Step 4a. Tablebase probe
645 if (!rootNode && TB::Cardinality)
647 int piecesCnt = pos.count<ALL_PIECES>(WHITE) + pos.count<ALL_PIECES>(BLACK);
649 if ( piecesCnt <= TB::Cardinality
650 && (piecesCnt < TB::Cardinality || depth >= TB::ProbeDepth)
651 && pos.rule50_count() == 0
652 && !pos.can_castle(ANY_CASTLING))
654 int found, v = Tablebases::probe_wdl(pos, &found);
660 int drawScore = TB::UseRule50 ? 1 : 0;
662 value = v < -drawScore ? -VALUE_MATE + MAX_PLY + ss->ply
663 : v > drawScore ? VALUE_MATE - MAX_PLY - ss->ply
664 : VALUE_DRAW + 2 * v * drawScore;
666 tte->save(posKey, value_to_tt(value, ss->ply), BOUND_EXACT,
667 std::min(DEPTH_MAX - ONE_PLY, depth + 6 * ONE_PLY),
668 MOVE_NONE, VALUE_NONE, TT.generation());
675 // Step 5. Evaluate the position statically
678 ss->staticEval = eval = VALUE_NONE;
684 // Never assume anything on values stored in TT
685 if ((ss->staticEval = eval = tte->eval()) == VALUE_NONE)
686 eval = ss->staticEval = evaluate(pos);
688 // Can ttValue be used as a better position evaluation?
689 if (ttValue != VALUE_NONE)
690 if (tte->bound() & (ttValue > eval ? BOUND_LOWER : BOUND_UPPER))
695 eval = ss->staticEval =
696 (ss-1)->currentMove != MOVE_NULL ? evaluate(pos)
697 : -(ss-1)->staticEval + 2 * Eval::Tempo;
699 tte->save(posKey, VALUE_NONE, BOUND_NONE, DEPTH_NONE, MOVE_NONE,
700 ss->staticEval, TT.generation());
703 if (ss->skipEarlyPruning)
706 // Step 6. Razoring (skipped when in check)
708 && depth < 4 * ONE_PLY
709 && eval + razor_margin[depth] <= alpha
710 && ttMove == MOVE_NONE)
712 if ( depth <= ONE_PLY
713 && eval + razor_margin[3 * ONE_PLY] <= alpha)
714 return qsearch<NonPV, false>(pos, ss, alpha, beta, DEPTH_ZERO);
716 Value ralpha = alpha - razor_margin[depth];
717 Value v = qsearch<NonPV, false>(pos, ss, ralpha, ralpha+1, DEPTH_ZERO);
722 // Step 7. Futility pruning: child node (skipped when in check)
724 && depth < 7 * ONE_PLY
725 && eval - futility_margin(depth) >= beta
726 && eval < VALUE_KNOWN_WIN // Do not return unproven wins
727 && pos.non_pawn_material(pos.side_to_move()))
728 return eval - futility_margin(depth);
730 // Step 8. Null move search with verification search (is omitted in PV nodes)
732 && depth >= 2 * ONE_PLY
734 && pos.non_pawn_material(pos.side_to_move()))
736 ss->currentMove = MOVE_NULL;
737 ss->counterMoves = nullptr;
739 assert(eval - beta >= 0);
741 // Null move dynamic reduction based on depth and value
742 Depth R = ((823 + 67 * depth) / 256 + std::min((eval - beta) / PawnValueMg, 3)) * ONE_PLY;
744 pos.do_null_move(st);
745 (ss+1)->skipEarlyPruning = true;
746 nullValue = depth-R < ONE_PLY ? -qsearch<NonPV, false>(pos, ss+1, -beta, -beta+1, DEPTH_ZERO)
747 : - search<NonPV>(pos, ss+1, -beta, -beta+1, depth-R, !cutNode);
748 (ss+1)->skipEarlyPruning = false;
749 pos.undo_null_move();
751 if (nullValue >= beta)
753 // Do not return unproven mate scores
754 if (nullValue >= VALUE_MATE_IN_MAX_PLY)
757 if (depth < 12 * ONE_PLY && abs(beta) < VALUE_KNOWN_WIN)
760 // Do verification search at high depths
761 ss->skipEarlyPruning = true;
762 Value v = depth-R < ONE_PLY ? qsearch<NonPV, false>(pos, ss, beta-1, beta, DEPTH_ZERO)
763 : search<NonPV>(pos, ss, beta-1, beta, depth-R, false);
764 ss->skipEarlyPruning = false;
771 // Step 9. ProbCut (skipped when in check)
772 // If we have a very good capture (i.e. SEE > seeValues[captured_piece_type])
773 // and a reduced search returns a value much above beta, we can (almost)
774 // safely prune the previous move.
776 && depth >= 5 * ONE_PLY
777 && abs(beta) < VALUE_MATE_IN_MAX_PLY)
779 Value rbeta = std::min(beta + 200, VALUE_INFINITE);
780 Depth rdepth = depth - 4 * ONE_PLY;
782 assert(rdepth >= ONE_PLY);
783 assert((ss-1)->currentMove != MOVE_NONE);
784 assert((ss-1)->currentMove != MOVE_NULL);
786 MovePicker mp(pos, ttMove, PieceValue[MG][pos.captured_piece_type()]);
789 while ((move = mp.next_move()) != MOVE_NONE)
790 if (pos.legal(move, ci.pinned))
792 ss->currentMove = move;
793 ss->counterMoves = &CounterMoveHistory[pos.moved_piece(move)][to_sq(move)];
794 pos.do_move(move, st, pos.gives_check(move, ci));
795 value = -search<NonPV>(pos, ss+1, -rbeta, -rbeta+1, rdepth, !cutNode);
802 // Step 10. Internal iterative deepening (skipped when in check)
803 if ( depth >= (PvNode ? 5 * ONE_PLY : 8 * ONE_PLY)
805 && (PvNode || ss->staticEval + 256 >= beta))
807 Depth d = depth - 2 * ONE_PLY - (PvNode ? DEPTH_ZERO : depth / 4);
808 ss->skipEarlyPruning = true;
809 search<NT>(pos, ss, alpha, beta, d, cutNode);
810 ss->skipEarlyPruning = false;
812 tte = TT.probe(posKey, ttHit);
813 ttMove = ttHit ? tte->move() : MOVE_NONE;
816 moves_loop: // When in check search starts from here
818 Square prevSq = to_sq((ss-1)->currentMove);
819 const CounterMoveStats* cmh = (ss-1)->counterMoves;
820 const CounterMoveStats* fmh = (ss-2)->counterMoves;
821 const CounterMoveStats* fmh2 = (ss-4)->counterMoves;
823 MovePicker mp(pos, ttMove, depth, ss);
825 value = bestValue; // Workaround a bogus 'uninitialized' warning under gcc
826 improving = ss->staticEval >= (ss-2)->staticEval
827 /* || ss->staticEval == VALUE_NONE Already implicit in the previous condition */
828 ||(ss-2)->staticEval == VALUE_NONE;
830 singularExtensionNode = !rootNode
831 && depth >= 8 * ONE_PLY
832 && ttMove != MOVE_NONE
833 /* && ttValue != VALUE_NONE Already implicit in the next condition */
834 && abs(ttValue) < VALUE_KNOWN_WIN
835 && !excludedMove // Recursive singular search is not allowed
836 && (tte->bound() & BOUND_LOWER)
837 && tte->depth() >= depth - 3 * ONE_PLY;
839 // Step 11. Loop through moves
840 // Loop through all pseudo-legal moves until no moves remain or a beta cutoff occurs
841 while ((move = mp.next_move()) != MOVE_NONE)
845 if (move == excludedMove)
848 // At root obey the "searchmoves" option and skip moves not listed in Root
849 // Move List. As a consequence any illegal move is also skipped. In MultiPV
850 // mode we also skip PV moves which have been already searched.
851 if (rootNode && !std::count(thisThread->rootMoves.begin() + thisThread->PVIdx,
852 thisThread->rootMoves.end(), move))
855 ss->moveCount = ++moveCount;
857 if (rootNode && thisThread == Threads.main() && Time.elapsed() > 3000)
858 sync_cout << "info depth " << depth / ONE_PLY
859 << " currmove " << UCI::move(move, pos.is_chess960())
860 << " currmovenumber " << moveCount + thisThread->PVIdx << sync_endl;
863 (ss+1)->pv = nullptr;
865 extension = DEPTH_ZERO;
866 captureOrPromotion = pos.capture_or_promotion(move);
867 moved_piece = pos.moved_piece(move);
869 givesCheck = type_of(move) == NORMAL && !ci.dcCandidates
870 ? ci.checkSquares[type_of(pos.piece_on(from_sq(move)))] & to_sq(move)
871 : pos.gives_check(move, ci);
873 moveCountPruning = depth < 16 * ONE_PLY
874 && moveCount >= FutilityMoveCounts[improving][depth];
876 // Step 12. Extend checks
879 && pos.see_sign(move) >= VALUE_ZERO)
882 // Singular extension search. If all moves but one fail low on a search of
883 // (alpha-s, beta-s), and just one fails high on (alpha, beta), then that move
884 // is singular and should be extended. To verify this we do a reduced search
885 // on all the other moves but the ttMove and if the result is lower than
886 // ttValue minus a margin then we extend the ttMove.
887 if ( singularExtensionNode
890 && pos.legal(move, ci.pinned))
892 Value rBeta = ttValue - 2 * depth / ONE_PLY;
893 ss->excludedMove = move;
894 ss->skipEarlyPruning = true;
895 value = search<NonPV>(pos, ss, rBeta - 1, rBeta, depth / 2, cutNode);
896 ss->skipEarlyPruning = false;
897 ss->excludedMove = MOVE_NONE;
903 // Update the current move (this must be done after singular extension search)
904 newDepth = depth - ONE_PLY + extension;
906 // Step 13. Pruning at shallow depth
908 && !captureOrPromotion
911 && !pos.advanced_pawn_push(move)
912 && bestValue > VALUE_MATED_IN_MAX_PLY)
914 // Move count based pruning
915 if (moveCountPruning)
918 // Countermoves based pruning
919 if ( depth <= 4 * ONE_PLY
920 && move != ss->killers[0]
921 && (!cmh || (*cmh )[moved_piece][to_sq(move)] < VALUE_ZERO)
922 && (!fmh || (*fmh )[moved_piece][to_sq(move)] < VALUE_ZERO)
923 && (!fmh2 || (*fmh2)[moved_piece][to_sq(move)] < VALUE_ZERO || (cmh && fmh)))
926 predictedDepth = std::max(newDepth - reduction<PvNode>(improving, depth, moveCount), DEPTH_ZERO);
928 // Futility pruning: parent node
929 if ( predictedDepth < 7 * ONE_PLY
930 && ss->staticEval + futility_margin(predictedDepth) + 256 <= alpha)
933 // Prune moves with negative SEE at low depths
934 if (predictedDepth < 4 * ONE_PLY && pos.see_sign(move) < VALUE_ZERO)
938 // Speculative prefetch as early as possible
939 prefetch(TT.first_entry(pos.key_after(move)));
941 // Check for legality just before making the move
942 if (!rootNode && !pos.legal(move, ci.pinned))
944 ss->moveCount = --moveCount;
948 ss->currentMove = move;
949 ss->counterMoves = &CounterMoveHistory[moved_piece][to_sq(move)];
951 // Step 14. Make the move
952 pos.do_move(move, st, givesCheck);
954 // Step 15. Reduced depth search (LMR). If the move fails high it will be
955 // re-searched at full depth.
956 if ( depth >= 3 * ONE_PLY
958 && !captureOrPromotion)
960 Depth r = reduction<PvNode>(improving, depth, moveCount);
961 Value val = thisThread->history[moved_piece][to_sq(move)]
962 + (cmh ? (*cmh )[moved_piece][to_sq(move)] : VALUE_ZERO)
963 + (fmh ? (*fmh )[moved_piece][to_sq(move)] : VALUE_ZERO)
964 + (fmh2 ? (*fmh2)[moved_piece][to_sq(move)] : VALUE_ZERO);
966 // Increase reduction for cut nodes
970 // Decrease reduction for moves that escape a capture. Filter out
971 // castling moves, because they are coded as "king captures rook" and
972 // hence break make_move(). Also use see() instead of see_sign(),
973 // because the destination square is empty.
974 else if ( type_of(move) == NORMAL
975 && type_of(pos.piece_on(to_sq(move))) != PAWN
976 && pos.see(make_move(to_sq(move), from_sq(move))) < VALUE_ZERO)
979 // Decrease/increase reduction for moves with a good/bad history
980 int rHist = (val - 10000) / 20000;
981 r = std::max(DEPTH_ZERO, r - rHist * ONE_PLY);
983 Depth d = std::max(newDepth - r, ONE_PLY);
985 value = -search<NonPV>(pos, ss+1, -(alpha+1), -alpha, d, true);
987 doFullDepthSearch = (value > alpha && r != DEPTH_ZERO);
990 doFullDepthSearch = !PvNode || moveCount > 1;
992 // Step 16. Full depth search when LMR is skipped or fails high
993 if (doFullDepthSearch)
994 value = newDepth < ONE_PLY ?
995 givesCheck ? -qsearch<NonPV, true>(pos, ss+1, -(alpha+1), -alpha, DEPTH_ZERO)
996 : -qsearch<NonPV, false>(pos, ss+1, -(alpha+1), -alpha, DEPTH_ZERO)
997 : - search<NonPV>(pos, ss+1, -(alpha+1), -alpha, newDepth, !cutNode);
999 // For PV nodes only, do a full PV search on the first move or after a fail
1000 // high (in the latter case search only if value < beta), otherwise let the
1001 // parent node fail low with value <= alpha and try another move.
1002 if (PvNode && (moveCount == 1 || (value > alpha && (rootNode || value < beta))))
1005 (ss+1)->pv[0] = MOVE_NONE;
1007 value = newDepth < ONE_PLY ?
1008 givesCheck ? -qsearch<PV, true>(pos, ss+1, -beta, -alpha, DEPTH_ZERO)
1009 : -qsearch<PV, false>(pos, ss+1, -beta, -alpha, DEPTH_ZERO)
1010 : - search<PV>(pos, ss+1, -beta, -alpha, newDepth, false);
1013 // Step 17. Undo move
1014 pos.undo_move(move);
1016 assert(value > -VALUE_INFINITE && value < VALUE_INFINITE);
1018 // Step 18. Check for a new best move
1019 // Finished searching the move. If a stop occurred, the return value of
1020 // the search cannot be trusted, and we return immediately without
1021 // updating best move, PV and TT.
1022 if (Signals.stop.load(std::memory_order_relaxed))
1027 RootMove& rm = *std::find(thisThread->rootMoves.begin(),
1028 thisThread->rootMoves.end(), move);
1030 // PV move or new best move ?
1031 if (moveCount == 1 || value > alpha)
1038 for (Move* m = (ss+1)->pv; *m != MOVE_NONE; ++m)
1039 rm.pv.push_back(*m);
1041 // We record how often the best move has been changed in each
1042 // iteration. This information is used for time management: When
1043 // the best move changes frequently, we allocate some more time.
1044 if (moveCount > 1 && thisThread == Threads.main())
1045 ++static_cast<MainThread*>(thisThread)->bestMoveChanges;
1048 // All other moves but the PV are set to the lowest value: this is
1049 // not a problem when sorting because the sort is stable and the
1050 // move position in the list is preserved - just the PV is pushed up.
1051 rm.score = -VALUE_INFINITE;
1054 if (value > bestValue)
1060 // If there is an easy move for this position, clear it if unstable
1062 && thisThread == Threads.main()
1063 && EasyMove.get(pos.key())
1064 && (move != EasyMove.get(pos.key()) || moveCount > 1))
1069 if (PvNode && !rootNode) // Update pv even in fail-high case
1070 update_pv(ss->pv, move, (ss+1)->pv);
1072 if (PvNode && value < beta) // Update alpha! Always alpha < beta
1076 assert(value >= beta); // Fail high
1082 if (!captureOrPromotion && move != bestMove && quietCount < 64)
1083 quietsSearched[quietCount++] = move;
1086 // The following condition would detect a stop only after move loop has been
1087 // completed. But in this case bestValue is valid because we have fully
1088 // searched our subtree, and we can anyhow save the result in TT.
1094 // Step 20. Check for mate and stalemate
1095 // All legal moves have been searched and if there are no legal moves, it
1096 // must be a mate or a stalemate. If we are in a singular extension search then
1097 // return a fail low score.
1099 bestValue = excludedMove ? alpha
1100 : inCheck ? mated_in(ss->ply) : DrawValue[pos.side_to_move()];
1102 // Quiet best move: update killers, history and countermoves
1103 else if (bestMove && !pos.capture_or_promotion(bestMove))
1104 update_stats(pos, ss, bestMove, depth, quietsSearched, quietCount);
1106 // Bonus for prior countermove that caused the fail low
1107 else if ( depth >= 3 * ONE_PLY
1110 && !pos.captured_piece_type()
1111 && is_ok((ss-1)->currentMove))
1113 Value bonus = Value((depth / ONE_PLY) * (depth / ONE_PLY) + 2 * depth / ONE_PLY - 2);
1114 if ((ss-2)->counterMoves)
1115 (ss-2)->counterMoves->update(pos.piece_on(prevSq), prevSq, bonus);
1117 if ((ss-3)->counterMoves)
1118 (ss-3)->counterMoves->update(pos.piece_on(prevSq), prevSq, bonus);
1120 if ((ss-5)->counterMoves)
1121 (ss-5)->counterMoves->update(pos.piece_on(prevSq), prevSq, bonus);
1124 tte->save(posKey, value_to_tt(bestValue, ss->ply),
1125 bestValue >= beta ? BOUND_LOWER :
1126 PvNode && bestMove ? BOUND_EXACT : BOUND_UPPER,
1127 depth, bestMove, ss->staticEval, TT.generation());
1129 assert(bestValue > -VALUE_INFINITE && bestValue < VALUE_INFINITE);
1135 // qsearch() is the quiescence search function, which is called by the main
1136 // search function when the remaining depth is zero (or, to be more precise,
1137 // less than ONE_PLY).
1139 template <NodeType NT, bool InCheck>
1140 Value qsearch(Position& pos, Stack* ss, Value alpha, Value beta, Depth depth) {
1142 const bool PvNode = NT == PV;
1144 assert(InCheck == !!pos.checkers());
1145 assert(alpha >= -VALUE_INFINITE && alpha < beta && beta <= VALUE_INFINITE);
1146 assert(PvNode || (alpha == beta - 1));
1147 assert(depth <= DEPTH_ZERO);
1153 Move ttMove, move, bestMove;
1154 Value bestValue, value, ttValue, futilityValue, futilityBase, oldAlpha;
1155 bool ttHit, givesCheck, evasionPrunable;
1160 oldAlpha = alpha; // To flag BOUND_EXACT when eval above alpha and no available moves
1162 ss->pv[0] = MOVE_NONE;
1165 ss->currentMove = bestMove = MOVE_NONE;
1166 ss->ply = (ss-1)->ply + 1;
1168 // Check for an instant draw or if the maximum ply has been reached
1169 if (pos.is_draw() || ss->ply >= MAX_PLY)
1170 return ss->ply >= MAX_PLY && !InCheck ? evaluate(pos)
1171 : DrawValue[pos.side_to_move()];
1173 assert(0 <= ss->ply && ss->ply < MAX_PLY);
1175 // Decide whether or not to include checks: this fixes also the type of
1176 // TT entry depth that we are going to use. Note that in qsearch we use
1177 // only two types of depth in TT: DEPTH_QS_CHECKS or DEPTH_QS_NO_CHECKS.
1178 ttDepth = InCheck || depth >= DEPTH_QS_CHECKS ? DEPTH_QS_CHECKS
1179 : DEPTH_QS_NO_CHECKS;
1181 // Transposition table lookup
1183 tte = TT.probe(posKey, ttHit);
1184 ttMove = ttHit ? tte->move() : MOVE_NONE;
1185 ttValue = ttHit ? value_from_tt(tte->value(), ss->ply) : VALUE_NONE;
1189 && tte->depth() >= ttDepth
1190 && ttValue != VALUE_NONE // Only in case of TT access race
1191 && (ttValue >= beta ? (tte->bound() & BOUND_LOWER)
1192 : (tte->bound() & BOUND_UPPER)))
1194 ss->currentMove = ttMove; // Can be MOVE_NONE
1198 // Evaluate the position statically
1201 ss->staticEval = VALUE_NONE;
1202 bestValue = futilityBase = -VALUE_INFINITE;
1208 // Never assume anything on values stored in TT
1209 if ((ss->staticEval = bestValue = tte->eval()) == VALUE_NONE)
1210 ss->staticEval = bestValue = evaluate(pos);
1212 // Can ttValue be used as a better position evaluation?
1213 if (ttValue != VALUE_NONE)
1214 if (tte->bound() & (ttValue > bestValue ? BOUND_LOWER : BOUND_UPPER))
1215 bestValue = ttValue;
1218 ss->staticEval = bestValue =
1219 (ss-1)->currentMove != MOVE_NULL ? evaluate(pos)
1220 : -(ss-1)->staticEval + 2 * Eval::Tempo;
1222 // Stand pat. Return immediately if static value is at least beta
1223 if (bestValue >= beta)
1226 tte->save(pos.key(), value_to_tt(bestValue, ss->ply), BOUND_LOWER,
1227 DEPTH_NONE, MOVE_NONE, ss->staticEval, TT.generation());
1232 if (PvNode && bestValue > alpha)
1235 futilityBase = bestValue + 128;
1238 // Initialize a MovePicker object for the current position, and prepare
1239 // to search the moves. Because the depth is <= 0 here, only captures,
1240 // queen promotions and checks (only if depth >= DEPTH_QS_CHECKS) will
1242 MovePicker mp(pos, ttMove, depth, to_sq((ss-1)->currentMove));
1245 // Loop through the moves until no moves remain or a beta cutoff occurs
1246 while ((move = mp.next_move()) != MOVE_NONE)
1248 assert(is_ok(move));
1250 givesCheck = type_of(move) == NORMAL && !ci.dcCandidates
1251 ? ci.checkSquares[type_of(pos.piece_on(from_sq(move)))] & to_sq(move)
1252 : pos.gives_check(move, ci);
1257 && futilityBase > -VALUE_KNOWN_WIN
1258 && !pos.advanced_pawn_push(move))
1260 assert(type_of(move) != ENPASSANT); // Due to !pos.advanced_pawn_push
1262 futilityValue = futilityBase + PieceValue[EG][pos.piece_on(to_sq(move))];
1264 if (futilityValue <= alpha)
1266 bestValue = std::max(bestValue, futilityValue);
1270 if (futilityBase <= alpha && pos.see(move) <= VALUE_ZERO)
1272 bestValue = std::max(bestValue, futilityBase);
1277 // Detect non-capture evasions that are candidates to be pruned
1278 evasionPrunable = InCheck
1279 && bestValue > VALUE_MATED_IN_MAX_PLY
1280 && !pos.capture(move);
1282 // Don't search moves with negative SEE values
1283 if ( (!InCheck || evasionPrunable)
1284 && type_of(move) != PROMOTION
1285 && pos.see_sign(move) < VALUE_ZERO)
1288 // Speculative prefetch as early as possible
1289 prefetch(TT.first_entry(pos.key_after(move)));
1291 // Check for legality just before making the move
1292 if (!pos.legal(move, ci.pinned))
1295 ss->currentMove = move;
1297 // Make and search the move
1298 pos.do_move(move, st, givesCheck);
1299 value = givesCheck ? -qsearch<NT, true>(pos, ss+1, -beta, -alpha, depth - ONE_PLY)
1300 : -qsearch<NT, false>(pos, ss+1, -beta, -alpha, depth - ONE_PLY);
1301 pos.undo_move(move);
1303 assert(value > -VALUE_INFINITE && value < VALUE_INFINITE);
1305 // Check for a new best move
1306 if (value > bestValue)
1312 if (PvNode) // Update pv even in fail-high case
1313 update_pv(ss->pv, move, (ss+1)->pv);
1315 if (PvNode && value < beta) // Update alpha here!
1322 tte->save(posKey, value_to_tt(value, ss->ply), BOUND_LOWER,
1323 ttDepth, move, ss->staticEval, TT.generation());
1331 // All legal moves have been searched. A special case: If we're in check
1332 // and no legal moves were found, it is checkmate.
1333 if (InCheck && bestValue == -VALUE_INFINITE)
1334 return mated_in(ss->ply); // Plies to mate from the root
1336 tte->save(posKey, value_to_tt(bestValue, ss->ply),
1337 PvNode && bestValue > oldAlpha ? BOUND_EXACT : BOUND_UPPER,
1338 ttDepth, bestMove, ss->staticEval, TT.generation());
1340 assert(bestValue > -VALUE_INFINITE && bestValue < VALUE_INFINITE);
1346 // value_to_tt() adjusts a mate score from "plies to mate from the root" to
1347 // "plies to mate from the current position". Non-mate scores are unchanged.
1348 // The function is called before storing a value in the transposition table.
1350 Value value_to_tt(Value v, int ply) {
1352 assert(v != VALUE_NONE);
1354 return v >= VALUE_MATE_IN_MAX_PLY ? v + ply
1355 : v <= VALUE_MATED_IN_MAX_PLY ? v - ply : v;
1359 // value_from_tt() is the inverse of value_to_tt(): It adjusts a mate score
1360 // from the transposition table (which refers to the plies to mate/be mated
1361 // from current position) to "plies to mate/be mated from the root".
1363 Value value_from_tt(Value v, int ply) {
1365 return v == VALUE_NONE ? VALUE_NONE
1366 : v >= VALUE_MATE_IN_MAX_PLY ? v - ply
1367 : v <= VALUE_MATED_IN_MAX_PLY ? v + ply : v;
1371 // update_pv() adds current move and appends child pv[]
1373 void update_pv(Move* pv, Move move, Move* childPv) {
1375 for (*pv++ = move; childPv && *childPv != MOVE_NONE; )
1381 // update_stats() updates killers, history, countermove and countermove plus
1382 // follow-up move history when a new quiet best move is found.
1384 void update_stats(const Position& pos, Stack* ss, Move move,
1385 Depth depth, Move* quiets, int quietsCnt) {
1387 if (ss->killers[0] != move)
1389 ss->killers[1] = ss->killers[0];
1390 ss->killers[0] = move;
1393 Value bonus = Value((depth / ONE_PLY) * (depth / ONE_PLY) + 2 * depth / ONE_PLY - 2);
1395 Square prevSq = to_sq((ss-1)->currentMove);
1396 CounterMoveStats* cmh = (ss-1)->counterMoves;
1397 CounterMoveStats* fmh = (ss-2)->counterMoves;
1398 CounterMoveStats* fmh2 = (ss-4)->counterMoves;
1399 Thread* thisThread = pos.this_thread();
1401 thisThread->history.update(pos.moved_piece(move), to_sq(move), bonus);
1405 thisThread->counterMoves.update(pos.piece_on(prevSq), prevSq, move);
1406 cmh->update(pos.moved_piece(move), to_sq(move), bonus);
1410 fmh->update(pos.moved_piece(move), to_sq(move), bonus);
1413 fmh2->update(pos.moved_piece(move), to_sq(move), bonus);
1415 // Decrease all the other played quiet moves
1416 for (int i = 0; i < quietsCnt; ++i)
1418 thisThread->history.update(pos.moved_piece(quiets[i]), to_sq(quiets[i]), -bonus);
1421 cmh->update(pos.moved_piece(quiets[i]), to_sq(quiets[i]), -bonus);
1424 fmh->update(pos.moved_piece(quiets[i]), to_sq(quiets[i]), -bonus);
1427 fmh2->update(pos.moved_piece(quiets[i]), to_sq(quiets[i]), -bonus);
1430 // Extra penalty for a quiet TT move in previous ply when it gets refuted
1431 if ((ss-1)->moveCount == 1 && !pos.captured_piece_type())
1433 if ((ss-2)->counterMoves)
1434 (ss-2)->counterMoves->update(pos.piece_on(prevSq), prevSq, -bonus - 2 * (depth + 1) / ONE_PLY - 1);
1436 if ((ss-3)->counterMoves)
1437 (ss-3)->counterMoves->update(pos.piece_on(prevSq), prevSq, -bonus - 2 * (depth + 1) / ONE_PLY - 1);
1439 if ((ss-5)->counterMoves)
1440 (ss-5)->counterMoves->update(pos.piece_on(prevSq), prevSq, -bonus - 2 * (depth + 1) / ONE_PLY - 1);
1445 // When playing with strength handicap, choose best move among a set of RootMoves
1446 // using a statistical rule dependent on 'level'. Idea by Heinz van Saanen.
1448 Move Skill::pick_best(size_t multiPV) {
1450 const RootMoves& rootMoves = Threads.main()->rootMoves;
1451 static PRNG rng(now()); // PRNG sequence should be non-deterministic
1453 // RootMoves are already sorted by score in descending order
1454 Value topScore = rootMoves[0].score;
1455 int delta = std::min(topScore - rootMoves[multiPV - 1].score, PawnValueMg);
1456 int weakness = 120 - 2 * level;
1457 int maxScore = -VALUE_INFINITE;
1459 // Choose best move. For each move score we add two terms, both dependent on
1460 // weakness. One is deterministic and bigger for weaker levels, and one is
1461 // random. Then we choose the move with the resulting highest score.
1462 for (size_t i = 0; i < multiPV; ++i)
1464 // This is our magic formula
1465 int push = ( weakness * int(topScore - rootMoves[i].score)
1466 + delta * (rng.rand<unsigned>() % weakness)) / 128;
1468 if (rootMoves[i].score + push > maxScore)
1470 maxScore = rootMoves[i].score + push;
1471 best = rootMoves[i].pv[0];
1479 // check_time() is used to print debug info and, more importantly, to detect
1480 // when we are out of available time and thus stop the search.
1484 static TimePoint lastInfoTime = now();
1486 int elapsed = Time.elapsed();
1487 TimePoint tick = Limits.startTime + elapsed;
1489 if (tick - lastInfoTime >= 1000)
1491 lastInfoTime = tick;
1495 // An engine may not stop pondering until told so by the GUI
1499 if ( (Limits.use_time_management() && elapsed > Time.maximum() - 10)
1500 || (Limits.movetime && elapsed >= Limits.movetime)
1501 || (Limits.nodes && Threads.nodes_searched() >= Limits.nodes))
1502 Signals.stop = true;
1508 /// UCI::pv() formats PV information according to the UCI protocol. UCI requires
1509 /// that all (if any) unsearched PV lines are sent using a previous search score.
1511 string UCI::pv(const Position& pos, Depth depth, Value alpha, Value beta) {
1513 std::stringstream ss;
1514 int elapsed = Time.elapsed() + 1;
1515 const RootMoves& rootMoves = pos.this_thread()->rootMoves;
1516 size_t PVIdx = pos.this_thread()->PVIdx;
1517 size_t multiPV = std::min((size_t)Options["MultiPV"], rootMoves.size());
1518 uint64_t nodes_searched = Threads.nodes_searched();
1520 for (size_t i = 0; i < multiPV; ++i)
1522 bool updated = (i <= PVIdx);
1524 if (depth == ONE_PLY && !updated)
1527 Depth d = updated ? depth : depth - ONE_PLY;
1528 Value v = updated ? rootMoves[i].score : rootMoves[i].previousScore;
1530 bool tb = TB::RootInTB && abs(v) < VALUE_MATE - MAX_PLY;
1531 v = tb ? TB::Score : v;
1533 if (ss.rdbuf()->in_avail()) // Not at first line
1537 << " depth " << d / ONE_PLY
1538 << " seldepth " << pos.this_thread()->maxPly
1539 << " multipv " << i + 1
1540 << " score " << UCI::value(v);
1542 if (!tb && i == PVIdx)
1543 ss << (v >= beta ? " lowerbound" : v <= alpha ? " upperbound" : "");
1545 ss << " nodes " << nodes_searched
1546 << " nps " << nodes_searched * 1000 / elapsed;
1548 if (elapsed > 1000) // Earlier makes little sense
1549 ss << " hashfull " << TT.hashfull();
1551 ss << " tbhits " << TB::Hits
1552 << " time " << elapsed
1555 for (Move m : rootMoves[i].pv)
1556 ss << " " << UCI::move(m, pos.is_chess960());
1563 /// RootMove::extract_ponder_from_tt() is called in case we have no ponder move
1564 /// before exiting the search, for instance, in case we stop the search during a
1565 /// fail high at root. We try hard to have a ponder move to return to the GUI,
1566 /// otherwise in case of 'ponder on' we have nothing to think on.
1568 bool RootMove::extract_ponder_from_tt(Position& pos)
1573 assert(pv.size() == 1);
1575 pos.do_move(pv[0], st, pos.gives_check(pv[0], CheckInfo(pos)));
1576 TTEntry* tte = TT.probe(pos.key(), ttHit);
1577 pos.undo_move(pv[0]);
1581 Move m = tte->move(); // Local copy to be SMP safe
1582 if (MoveList<LEGAL>(pos).contains(m))
1583 return pv.push_back(m), true;
1589 void Tablebases::filter_root_moves(Position& pos, Search::RootMoves& rootMoves) {
1593 UseRule50 = Options["Syzygy50MoveRule"];
1594 ProbeDepth = Options["SyzygyProbeDepth"] * ONE_PLY;
1595 Cardinality = Options["SyzygyProbeLimit"];
1597 // Skip TB probing when no TB found: !TBLargest -> !TB::Cardinality
1598 if (Cardinality > MaxCardinality)
1600 Cardinality = MaxCardinality;
1601 ProbeDepth = DEPTH_ZERO;
1604 if (Cardinality < popcount(pos.pieces()) || pos.can_castle(ANY_CASTLING))
1607 // If the current root position is in the tablebases, then RootMoves
1608 // contains only moves that preserve the draw or the win.
1609 RootInTB = root_probe(pos, rootMoves, TB::Score);
1612 Cardinality = 0; // Do not probe tablebases during the search
1614 else // If DTZ tables are missing, use WDL tables as a fallback
1616 // Filter out moves that do not preserve the draw or the win.
1617 RootInTB = root_probe_wdl(pos, rootMoves, TB::Score);
1619 // Only probe during search if winning
1620 if (TB::Score <= VALUE_DRAW)
1626 Hits = rootMoves.size();
1629 TB::Score = TB::Score > VALUE_DRAW ? VALUE_MATE - MAX_PLY - 1
1630 : TB::Score < VALUE_DRAW ? -VALUE_MATE + MAX_PLY + 1