/*
Stockfish, a UCI chess playing engine derived from Glaurung 2.1
Copyright (C) 2004-2008 Tord Romstad (Glaurung author)
- Copyright (C) 2008-2009 Marco Costalba
+ Copyright (C) 2008-2015 Marco Costalba, Joona Kiiski, Tord Romstad
+ Copyright (C) 2015-2016 Marco Costalba, Joona Kiiski, Gary Linscott, Tord Romstad
Stockfish is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
-
-////
-//// Includes
-////
-
+#include <algorithm> // For std::min
#include <cassert>
-#include <cstring>
-#include <sstream>
-#include <map>
+#include <cstring> // For std::memset
#include "material.h"
+#include "thread.h"
-
-////
-//// Local definitions
-////
+using namespace std;
namespace {
- const Value BishopPairMidgameBonus = Value(109);
- const Value BishopPairEndgameBonus = Value(97);
+ // Polynomial material imbalance parameters
- Key KNNKMaterialKey, KKNNMaterialKey;
+ // pair pawn knight bishop rook queen
+ const int Linear[6] = { 1667, -168, -1027, -166, 238, -138 };
-}
+ const int QuadraticOurs[][PIECE_TYPE_NB] = {
+ // OUR PIECES
+ // pair pawn knight bishop rook queen
+ { 0 }, // Bishop pair
+ { 40, 2 }, // Pawn
+ { 32, 255, -3 }, // Knight OUR PIECES
+ { 0, 104, 4, 0 }, // Bishop
+ { -26, -2, 47, 105, -149 }, // Rook
+ {-185, 24, 122, 137, -134, 0 } // Queen
+ };
-////
-//// Classes
-////
+ const int QuadraticTheirs[][PIECE_TYPE_NB] = {
+ // THEIR PIECES
+ // pair pawn knight bishop rook queen
+ { 0 }, // Bishop pair
+ { 36, 0 }, // Pawn
+ { 9, 63, 0 }, // Knight OUR PIECES
+ { 59, 65, 42, 0 }, // Bishop
+ { 46, 39, 24, -24, 0 }, // Rook
+ { 101, 100, -37, 141, 268, 0 } // Queen
+ };
+ // Endgame evaluation and scaling functions are accessed directly and not through
+ // the function maps because they correspond to more than one material hash key.
+ Endgame<KXK> EvaluateKXK[] = { Endgame<KXK>(WHITE), Endgame<KXK>(BLACK) };
-/// See header for a class description. It is declared here to avoid
-/// to include <map> in the header file.
+ Endgame<KBPsK> ScaleKBPsK[] = { Endgame<KBPsK>(WHITE), Endgame<KBPsK>(BLACK) };
+ Endgame<KQKRPs> ScaleKQKRPs[] = { Endgame<KQKRPs>(WHITE), Endgame<KQKRPs>(BLACK) };
+ Endgame<KPsK> ScaleKPsK[] = { Endgame<KPsK>(WHITE), Endgame<KPsK>(BLACK) };
+ Endgame<KPKP> ScaleKPKP[] = { Endgame<KPKP>(WHITE), Endgame<KPKP>(BLACK) };
-class EndgameFunctions {
+ // Helper used to detect a given material distribution
+ bool is_KXK(const Position& pos, Color us) {
+ return !more_than_one(pos.pieces(~us))
+ && pos.non_pawn_material(us) >= RookValueMg;
+ }
-public:
- EndgameFunctions();
- EndgameEvaluationFunctionBase* getEEF(Key key) const;
- EndgameScalingFunctionBase* getESF(Key key, Color* c) const;
+ bool is_KBPsKs(const Position& pos, Color us) {
+ return pos.non_pawn_material(us) == BishopValueMg
+ && pos.count<BISHOP>(us) == 1
+ && pos.count<PAWN >(us) >= 1;
+ }
-private:
- void add(const std::string& keyCode, EndgameEvaluationFunctionBase* f);
- void add(const std::string& keyCode, Color c, EndgameScalingFunctionBase* f);
- Key buildKey(const std::string& keyCode);
+ bool is_KQKRPs(const Position& pos, Color us) {
+ return !pos.count<PAWN>(us)
+ && pos.non_pawn_material(us) == QueenValueMg
+ && pos.count<QUEEN>(us) == 1
+ && pos.count<ROOK>(~us) == 1
+ && pos.count<PAWN>(~us) >= 1;
+ }
- struct ScalingInfo
- {
- Color col;
- EndgameScalingFunctionBase* fun;
- };
+ /// imbalance() calculates the imbalance by comparing the piece count of each
+ /// piece type for both colors.
+ template<Color Us>
+ int imbalance(const int pieceCount[][PIECE_TYPE_NB]) {
- std::map<Key, EndgameEvaluationFunctionBase*> EEFmap;
- std::map<Key, ScalingInfo> ESFmap;
-};
+ const Color Them = (Us == WHITE ? BLACK : WHITE);
+ int bonus = 0;
-////
-//// Functions
-////
+ // Second-degree polynomial material imbalance by Tord Romstad
+ for (int pt1 = NO_PIECE_TYPE; pt1 <= QUEEN; ++pt1)
+ {
+ if (!pieceCount[Us][pt1])
+ continue;
+ int v = Linear[pt1];
-/// Constructor for the MaterialInfoTable class
+ for (int pt2 = NO_PIECE_TYPE; pt2 <= pt1; ++pt2)
+ v += QuadraticOurs[pt1][pt2] * pieceCount[Us][pt2]
+ + QuadraticTheirs[pt1][pt2] * pieceCount[Them][pt2];
-MaterialInfoTable::MaterialInfoTable(unsigned int numOfEntries) {
+ bonus += pieceCount[Us][pt1] * v;
+ }
- size = numOfEntries;
- entries = new MaterialInfo[size];
- funcs = new EndgameFunctions();
- if (!entries || !funcs)
- {
- std::cerr << "Failed to allocate " << (numOfEntries * sizeof(MaterialInfo))
- << " bytes for material hash table." << std::endl;
- Application::exit_with_failure();
+ return bonus;
}
- clear();
-}
+} // namespace
-/// Destructor for the MaterialInfoTable class
+namespace Material {
-MaterialInfoTable::~MaterialInfoTable() {
-
- delete [] entries;
- delete funcs;
-}
+/// Material::probe() looks up the current position's material configuration in
+/// the material hash table. It returns a pointer to the Entry if the position
+/// is found. Otherwise a new Entry is computed and stored there, so we don't
+/// have to recompute all when the same material configuration occurs again.
+Entry* probe(const Position& pos) {
-/// MaterialInfoTable::clear() clears a material hash table by setting
-/// all entries to 0.
+ Key key = pos.material_key();
+ Entry* e = pos.this_thread()->materialTable[key];
-void MaterialInfoTable::clear() {
-
- memset(entries, 0, size * sizeof(MaterialInfo));
-}
+ if (e->key == key)
+ return e;
+ std::memset(e, 0, sizeof(Entry));
+ e->key = key;
+ e->factor[WHITE] = e->factor[BLACK] = (uint8_t)SCALE_FACTOR_NORMAL;
+ e->gamePhase = pos.game_phase();
-/// MaterialInfoTable::get_material_info() takes a position object as input,
-/// computes or looks up a MaterialInfo object, and returns a pointer to it.
-/// If the material configuration is not already present in the table, it
-/// is stored there, so we don't have to recompute everything when the
-/// same material configuration occurs again.
+ // Let's look if we have a specialized evaluation function for this particular
+ // material configuration. Firstly we look for a fixed configuration one, then
+ // for a generic one if the previous search failed.
+ if ((e->evaluationFunction = pos.this_thread()->endgames.probe<Value>(key)) != nullptr)
+ return e;
-MaterialInfo* MaterialInfoTable::get_material_info(const Position& pos) {
-
- Key key = pos.get_material_key();
- int index = key & (size - 1);
- MaterialInfo* mi = entries + index;
-
- // If mi->key matches the position's material hash key, it means that we
- // have analysed this material configuration before, and we can simply
- // return the information we found the last time instead of recomputing it.
- if (mi->key == key)
- return mi;
+ for (Color c = WHITE; c <= BLACK; ++c)
+ if (is_KXK(pos, c))
+ {
+ e->evaluationFunction = &EvaluateKXK[c];
+ return e;
+ }
- // Clear the MaterialInfo object, and set its key
- mi->clear();
- mi->key = key;
+ // OK, we didn't find any special evaluation function for the current material
+ // configuration. Is there a suitable specialized scaling function?
+ EndgameBase<ScaleFactor>* sf;
- // A special case before looking for a specialized evaluation function
- // KNN vs K is a draw.
- if (key == KNNKMaterialKey || key == KKNNMaterialKey)
+ if ((sf = pos.this_thread()->endgames.probe<ScaleFactor>(key)) != nullptr)
{
- mi->factor[WHITE] = mi->factor[BLACK] = 0;
- return mi;
+ e->scalingFunction[sf->strong_side()] = sf; // Only strong color assigned
+ return e;
}
- // Let's look if we have a specialized evaluation function for this
- // particular material configuration. First we look for a fixed
- // configuration one, then a generic one if previous search failed.
- if ((mi->evaluationFunction = funcs->getEEF(key)) != NULL)
- return mi;
-
- else if ( pos.non_pawn_material(BLACK) == Value(0)
- && pos.piece_count(BLACK, PAWN) == 0
- && pos.non_pawn_material(WHITE) >= RookValueEndgame)
- {
- mi->evaluationFunction = &EvaluateKXK;
- return mi;
- }
- else if ( pos.non_pawn_material(WHITE) == Value(0)
- && pos.piece_count(WHITE, PAWN) == 0
- && pos.non_pawn_material(BLACK) >= RookValueEndgame)
- {
- mi->evaluationFunction = &EvaluateKKX;
- return mi;
- }
- else if ( pos.pawns() == EmptyBoardBB
- && pos.rooks() == EmptyBoardBB
- && pos.queens() == EmptyBoardBB)
+ // We didn't find any specialized scaling function, so fall back on generic
+ // ones that refer to more than one material distribution. Note that in this
+ // case we don't return after setting the function.
+ for (Color c = WHITE; c <= BLACK; ++c)
{
- // Minor piece endgame with at least one minor piece per side,
- // and no pawns.
- assert(pos.knights(WHITE) | pos.bishops(WHITE));
- assert(pos.knights(BLACK) | pos.bishops(BLACK));
+ if (is_KBPsKs(pos, c))
+ e->scalingFunction[c] = &ScaleKBPsK[c];
- if ( pos.piece_count(WHITE, BISHOP) + pos.piece_count(WHITE, KNIGHT) <= 2
- && pos.piece_count(BLACK, BISHOP) + pos.piece_count(BLACK, KNIGHT) <= 2)
- {
- mi->evaluationFunction = &EvaluateKmmKm;
- return mi;
- }
+ else if (is_KQKRPs(pos, c))
+ e->scalingFunction[c] = &ScaleKQKRPs[c];
}
- // OK, we didn't find any special evaluation function for the current
- // material configuration. Is there a suitable scaling function?
- //
- // The code below is rather messy, and it could easily get worse later,
- // if we decide to add more special cases. We face problems when there
- // are several conflicting applicable scaling functions and we need to
- // decide which one to use.
- Color c;
- EndgameScalingFunctionBase* sf;
-
- if ((sf = funcs->getESF(key, &c)) != NULL)
- {
- mi->scalingFunction[c] = sf;
- return mi;
- }
+ Value npm_w = pos.non_pawn_material(WHITE);
+ Value npm_b = pos.non_pawn_material(BLACK);
- if ( pos.non_pawn_material(WHITE) == BishopValueMidgame
- && pos.piece_count(WHITE, BISHOP) == 1
- && pos.piece_count(WHITE, PAWN) >= 1)
- mi->scalingFunction[WHITE] = &ScaleKBPK;
-
- if ( pos.non_pawn_material(BLACK) == BishopValueMidgame
- && pos.piece_count(BLACK, BISHOP) == 1
- && pos.piece_count(BLACK, PAWN) >= 1)
- mi->scalingFunction[BLACK] = &ScaleKKBP;
-
- if ( pos.piece_count(WHITE, PAWN) == 0
- && pos.non_pawn_material(WHITE) == QueenValueMidgame
- && pos.piece_count(WHITE, QUEEN) == 1
- && pos.piece_count(BLACK, ROOK) == 1
- && pos.piece_count(BLACK, PAWN) >= 1)
- mi->scalingFunction[WHITE] = &ScaleKQKRP;
-
- else if ( pos.piece_count(BLACK, PAWN) == 0
- && pos.non_pawn_material(BLACK) == QueenValueMidgame
- && pos.piece_count(BLACK, QUEEN) == 1
- && pos.piece_count(WHITE, ROOK) == 1
- && pos.piece_count(WHITE, PAWN) >= 1)
- mi->scalingFunction[BLACK] = &ScaleKRPKQ;
-
- if (pos.non_pawn_material(WHITE) + pos.non_pawn_material(BLACK) == Value(0))
+ if (npm_w + npm_b == VALUE_ZERO && pos.pieces(PAWN)) // Only pawns on the board
{
- if (pos.piece_count(BLACK, PAWN) == 0)
+ if (!pos.count<PAWN>(BLACK))
{
- assert(pos.piece_count(WHITE, PAWN) >= 2);
- mi->scalingFunction[WHITE] = &ScaleKPsK;
+ assert(pos.count<PAWN>(WHITE) >= 2);
+
+ e->scalingFunction[WHITE] = &ScaleKPsK[WHITE];
}
- else if (pos.piece_count(WHITE, PAWN) == 0)
+ else if (!pos.count<PAWN>(WHITE))
{
- assert(pos.piece_count(BLACK, PAWN) >= 2);
- mi->scalingFunction[BLACK] = &ScaleKKPs;
+ assert(pos.count<PAWN>(BLACK) >= 2);
+
+ e->scalingFunction[BLACK] = &ScaleKPsK[BLACK];
}
- else if (pos.piece_count(WHITE, PAWN) == 1 && pos.piece_count(BLACK, PAWN) == 1)
+ else if (pos.count<PAWN>(WHITE) == 1 && pos.count<PAWN>(BLACK) == 1)
{
- mi->scalingFunction[WHITE] = &ScaleKPKPw;
- mi->scalingFunction[BLACK] = &ScaleKPKPb;
+ // This is a special case because we set scaling functions
+ // for both colors instead of only one.
+ e->scalingFunction[WHITE] = &ScaleKPKP[WHITE];
+ e->scalingFunction[BLACK] = &ScaleKPKP[BLACK];
}
}
- // Compute the space weight
- if (pos.non_pawn_material(WHITE) + pos.non_pawn_material(BLACK) >=
- 2*QueenValueMidgame + 4*RookValueMidgame + 2*KnightValueMidgame)
- {
- int minorPieceCount = pos.piece_count(WHITE, KNIGHT)
- + pos.piece_count(BLACK, KNIGHT)
- + pos.piece_count(WHITE, BISHOP)
- + pos.piece_count(BLACK, BISHOP);
-
- mi->spaceWeight = minorPieceCount * minorPieceCount;
- }
-
- // Evaluate the material balance
-
- int sign;
- Value egValue = Value(0);
- Value mgValue = Value(0);
-
- for (c = WHITE, sign = 1; c <= BLACK; c++, sign = -sign)
- {
- // No pawns makes it difficult to win, even with a material advantage
- if ( pos.piece_count(c, PAWN) == 0
- && pos.non_pawn_material(c) - pos.non_pawn_material(opposite_color(c)) <= BishopValueMidgame)
- {
- if ( pos.non_pawn_material(c) == pos.non_pawn_material(opposite_color(c))
- || pos.non_pawn_material(c) < RookValueMidgame)
- mi->factor[c] = 0;
- else
- {
- switch (pos.piece_count(c, BISHOP)) {
- case 2:
- mi->factor[c] = 32;
- break;
- case 1:
- mi->factor[c] = 12;
- break;
- case 0:
- mi->factor[c] = 6;
- break;
- }
- }
- }
-
- // Bishop pair
- if (pos.piece_count(c, BISHOP) >= 2)
- {
- mgValue += sign * BishopPairMidgameBonus;
- egValue += sign * BishopPairEndgameBonus;
- }
-
- // Knights are stronger when there are many pawns on the board. The
- // formula is taken from Larry Kaufman's paper "The Evaluation of Material
- // Imbalances in Chess":
- // http://mywebpages.comcast.net/danheisman/Articles/evaluation_of_material_imbalance.htm
- mgValue += sign * Value(pos.piece_count(c, KNIGHT)*(pos.piece_count(c, PAWN)-5)*16);
- egValue += sign * Value(pos.piece_count(c, KNIGHT)*(pos.piece_count(c, PAWN)-5)*16);
-
- // Redundancy of major pieces, again based on Kaufman's paper:
- if (pos.piece_count(c, ROOK) >= 1)
- {
- Value v = Value((pos.piece_count(c, ROOK) - 1) * 32 + pos.piece_count(c, QUEEN) * 16);
- mgValue -= sign * v;
- egValue -= sign * v;
- }
- }
- mi->mgValue = int16_t(mgValue);
- mi->egValue = int16_t(egValue);
- return mi;
+ // Zero or just one pawn makes it difficult to win, even with a small material
+ // advantage. This catches some trivial draws like KK, KBK and KNK and gives a
+ // drawish scale factor for cases such as KRKBP and KmmKm (except for KBBKN).
+ if (!pos.count<PAWN>(WHITE) && npm_w - npm_b <= BishopValueMg)
+ e->factor[WHITE] = uint8_t(npm_w < RookValueMg ? SCALE_FACTOR_DRAW :
+ npm_b <= BishopValueMg ? 4 : 14);
+
+ if (!pos.count<PAWN>(BLACK) && npm_b - npm_w <= BishopValueMg)
+ e->factor[BLACK] = uint8_t(npm_b < RookValueMg ? SCALE_FACTOR_DRAW :
+ npm_w <= BishopValueMg ? 4 : 14);
+
+ if (pos.count<PAWN>(WHITE) == 1 && npm_w - npm_b <= BishopValueMg)
+ e->factor[WHITE] = (uint8_t) SCALE_FACTOR_ONEPAWN;
+
+ if (pos.count<PAWN>(BLACK) == 1 && npm_b - npm_w <= BishopValueMg)
+ e->factor[BLACK] = (uint8_t) SCALE_FACTOR_ONEPAWN;
+
+ // Evaluate the material imbalance. We use PIECE_TYPE_NONE as a place holder
+ // for the bishop pair "extended piece", which allows us to be more flexible
+ // in defining bishop pair bonuses.
+ const int PieceCount[COLOR_NB][PIECE_TYPE_NB] = {
+ { pos.count<BISHOP>(WHITE) > 1, pos.count<PAWN>(WHITE), pos.count<KNIGHT>(WHITE),
+ pos.count<BISHOP>(WHITE) , pos.count<ROOK>(WHITE), pos.count<QUEEN >(WHITE) },
+ { pos.count<BISHOP>(BLACK) > 1, pos.count<PAWN>(BLACK), pos.count<KNIGHT>(BLACK),
+ pos.count<BISHOP>(BLACK) , pos.count<ROOK>(BLACK), pos.count<QUEEN >(BLACK) } };
+
+ e->value = int16_t((imbalance<WHITE>(PieceCount) - imbalance<BLACK>(PieceCount)) / 16);
+ return e;
}
-
-/// EndgameFunctions member definitions. This class is used to store the maps
-/// of end game and scaling functions that MaterialInfoTable will query for
-/// each key. The maps are constant and are populated only at construction,
-/// but are per-thread instead of globals to avoid expensive locks.
-
-EndgameFunctions::EndgameFunctions() {
-
- KNNKMaterialKey = buildKey("KNNK");
- KKNNMaterialKey = buildKey("KKNN");
-
- add("KPK", &EvaluateKPK);
- add("KKP", &EvaluateKKP);
- add("KBNK", &EvaluateKBNK);
- add("KKBN", &EvaluateKKBN);
- add("KRKP", &EvaluateKRKP);
- add("KPKR", &EvaluateKPKR);
- add("KRKB", &EvaluateKRKB);
- add("KBKR", &EvaluateKBKR);
- add("KRKN", &EvaluateKRKN);
- add("KNKR", &EvaluateKNKR);
- add("KQKR", &EvaluateKQKR);
- add("KRKQ", &EvaluateKRKQ);
- add("KBBKN", &EvaluateKBBKN);
- add("KNKBB", &EvaluateKNKBB);
-
- add("KNPK", WHITE, &ScaleKNPK);
- add("KKNP", BLACK, &ScaleKKNP);
- add("KRPKR", WHITE, &ScaleKRPKR);
- add("KRKRP", BLACK, &ScaleKRKRP);
- add("KBPKB", WHITE, &ScaleKBPKB);
- add("KBKBP", BLACK, &ScaleKBKBP);
- add("KBPPKB", WHITE, &ScaleKBPPKB);
- add("KBKBPP", BLACK, &ScaleKBKBPP);
- add("KBPKN", WHITE, &ScaleKBPKN);
- add("KNKBP", BLACK, &ScaleKNKBP);
- add("KRPPKRP", WHITE, &ScaleKRPPKRP);
- add("KRPKRPP", BLACK, &ScaleKRPKRPP);
- add("KRPPKRP", WHITE, &ScaleKRPPKRP);
- add("KRPKRPP", BLACK, &ScaleKRPKRPP);
-}
-
-Key EndgameFunctions::buildKey(const std::string& keyCode) {
-
- assert(keyCode.length() > 0 && keyCode[0] == 'K');
- assert(keyCode.length() < 8);
-
- std::stringstream s;
- bool upcase = false;
-
- // Build up a fen substring with the given pieces, note
- // that the fen string could be of an illegal position.
- for (size_t i = 0; i < keyCode.length(); i++)
- {
- if (keyCode[i] == 'K')
- upcase = !upcase;
-
- s << char(upcase? toupper(keyCode[i]) : tolower(keyCode[i]));
- }
- s << 8 - keyCode.length() << "/8/8/8/8/8/8/8 w -";
- return Position(s.str()).get_material_key();
-}
-
-void EndgameFunctions::add(const std::string& keyCode, EndgameEvaluationFunctionBase* f) {
-
- EEFmap.insert(std::pair<Key, EndgameEvaluationFunctionBase*>(buildKey(keyCode), f));
-}
-
-void EndgameFunctions::add(const std::string& keyCode, Color c, EndgameScalingFunctionBase* f) {
-
- ScalingInfo s = {c, f};
- ESFmap.insert(std::pair<Key, ScalingInfo>(buildKey(keyCode), s));
-}
-
-EndgameEvaluationFunctionBase* EndgameFunctions::getEEF(Key key) const {
-
- std::map<Key, EndgameEvaluationFunctionBase*>::const_iterator it(EEFmap.find(key));
- return (it != EEFmap.end() ? it->second : NULL);
-}
-
-EndgameScalingFunctionBase* EndgameFunctions::getESF(Key key, Color* c) const {
-
- std::map<Key, ScalingInfo>::const_iterator it(ESFmap.find(key));
- if (it == ESFmap.end())
- return NULL;
-
- *c = it->second.col;
- return it->second.fun;
-}
+} // namespace Material