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evaluate.cpp
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/*
Stockfish, a UCI chess playing engine derived from Glaurung 2.1
Copyright (C) 2004-2022 The Stockfish developers (see AUTHORS file)
Stockfish is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
Stockfish is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
#include <algorithm>
#include <cassert>
#include <cstdlib>
#include <cstring> // For std::memset
#include <fstream>
#include <iomanip>
#include <sstream>
#include <iostream>
#include <streambuf>
#include <vector>
#include "bitboard.h"
#include "evaluate.h"
#include "material.h"
#include "misc.h"
#include "pawns.h"
#include "thread.h"
#include "timeman.h"
#include "uci.h"
#include "incbin/incbin.h"
// Macro to embed the default efficiently updatable neural network (NNUE) file
// data in the engine binary (using incbin.h, by Dale Weiler).
// This macro invocation will declare the following three variables
// const unsigned char gEmbeddedNNUEData[]; // a pointer to the embedded data
// const unsigned char *const gEmbeddedNNUEEnd; // a marker to the end
// const unsigned int gEmbeddedNNUESize; // the size of the embedded file
// Note that this does not work in Microsoft Visual Studio.
#if !defined(_MSC_VER) && !defined(NNUE_EMBEDDING_OFF)
INCBIN(EmbeddedNNUE, EvalFileDefaultName);
#else
const unsigned char gEmbeddedNNUEData[1] = {0x0};
const unsigned char *const gEmbeddedNNUEEnd = &gEmbeddedNNUEData[1];
const unsigned int gEmbeddedNNUESize = 1;
#endif
using namespace std;
namespace Stockfish {
namespace Eval {
bool useNNUE;
string currentEvalFileName = "None";
/// NNUE::init() tries to load a NNUE network at startup time, or when the engine
/// receives a UCI command "setoption name EvalFile value nn-[a-z0-9]{12}.nnue"
/// The name of the NNUE network is always retrieved from the EvalFile option.
/// We search the given network in three locations: internally (the default
/// network may be embedded in the binary), in the active working directory and
/// in the engine directory. Distro packagers may define the DEFAULT_NNUE_DIRECTORY
/// variable to have the engine search in a special directory in their distro.
void NNUE::init() {
useNNUE = Options["Use NNUE"];
if (!useNNUE)
return;
string eval_file = string(Options["EvalFile"]);
if (eval_file.empty())
eval_file = EvalFileDefaultName;
#if defined(DEFAULT_NNUE_DIRECTORY)
#define stringify2(x) #x
#define stringify(x) stringify2(x)
vector<string> dirs = { "<internal>" , "" , CommandLine::binaryDirectory , stringify(DEFAULT_NNUE_DIRECTORY) };
#else
vector<string> dirs = { "<internal>" , "" , CommandLine::binaryDirectory };
#endif
for (string directory : dirs)
if (currentEvalFileName != eval_file)
{
if (directory != "<internal>")
{
ifstream stream(directory + eval_file, ios::binary);
if (load_eval(eval_file, stream))
currentEvalFileName = eval_file;
}
if (directory == "<internal>" && eval_file == EvalFileDefaultName)
{
// C++ way to prepare a buffer for a memory stream
class MemoryBuffer : public basic_streambuf<char> {
public: MemoryBuffer(char* p, size_t n) { setg(p, p, p + n); setp(p, p + n); }
};
MemoryBuffer buffer(const_cast<char*>(reinterpret_cast<const char*>(gEmbeddedNNUEData)),
size_t(gEmbeddedNNUESize));
(void) gEmbeddedNNUEEnd; // Silence warning on unused variable
istream stream(&buffer);
if (load_eval(eval_file, stream))
currentEvalFileName = eval_file;
}
}
}
/// NNUE::verify() verifies that the last net used was loaded successfully
void NNUE::verify() {
string eval_file = string(Options["EvalFile"]);
if (eval_file.empty())
eval_file = EvalFileDefaultName;
if (useNNUE && currentEvalFileName != eval_file)
{
string msg1 = "If the UCI option \"Use NNUE\" is set to true, network evaluation parameters compatible with the engine must be available.";
string msg2 = "The option is set to true, but the network file " + eval_file + " was not loaded successfully.";
string msg3 = "The UCI option EvalFile might need to specify the full path, including the directory name, to the network file.";
string msg4 = "The default net can be downloaded from: https://tests.stockfishchess.org/api/nn/" + std::string(EvalFileDefaultName);
string msg5 = "The engine will be terminated now.";
sync_cout << "info string ERROR: " << msg1 << sync_endl;
sync_cout << "info string ERROR: " << msg2 << sync_endl;
sync_cout << "info string ERROR: " << msg3 << sync_endl;
sync_cout << "info string ERROR: " << msg4 << sync_endl;
sync_cout << "info string ERROR: " << msg5 << sync_endl;
exit(EXIT_FAILURE);
}
if (useNNUE)
sync_cout << "info string NNUE evaluation using " << eval_file << " enabled" << sync_endl;
else
sync_cout << "info string classical evaluation enabled" << sync_endl;
}
}
namespace Trace {
enum Tracing { NO_TRACE, TRACE };
enum Term { // The first 8 entries are reserved for PieceType
MATERIAL = 8, IMBALANCE, MOBILITY, THREAT, PASSED, SPACE, WINNABLE, TOTAL, TERM_NB
};
Score scores[TERM_NB][COLOR_NB];
double to_cp(Value v) { return double(v) / UCI::NormalizeToPawnValue; }
void add(int idx, Color c, Score s) {
scores[idx][c] = s;
}
void add(int idx, Score w, Score b = SCORE_ZERO) {
scores[idx][WHITE] = w;
scores[idx][BLACK] = b;
}
std::ostream& operator<<(std::ostream& os, Score s) {
os << std::setw(5) << to_cp(mg_value(s)) << " "
<< std::setw(5) << to_cp(eg_value(s));
return os;
}
std::ostream& operator<<(std::ostream& os, Term t) {
if (t == MATERIAL || t == IMBALANCE || t == WINNABLE || t == TOTAL)
os << " ---- ----" << " | " << " ---- ----";
else
os << scores[t][WHITE] << " | " << scores[t][BLACK];
os << " | " << scores[t][WHITE] - scores[t][BLACK] << " |\n";
return os;
}
}
using namespace Trace;
namespace {
// Threshold for lazy and space evaluation
constexpr Value LazyThreshold1 = Value(3631);
constexpr Value LazyThreshold2 = Value(2084);
constexpr Value SpaceThreshold = Value(11551);
// KingAttackWeights[PieceType] contains king attack weights by piece type
constexpr int KingAttackWeights[PIECE_TYPE_NB] = { 0, 0, 76, 46, 45, 14 };
// SafeCheck[PieceType][single/multiple] contains safe check bonus by piece type,
// higher if multiple safe checks are possible for that piece type.
constexpr int SafeCheck[][2] = {
{}, {}, {805, 1292}, {650, 984}, {1071, 1886}, {730, 1128}
};
#define S(mg, eg) make_score(mg, eg)
// MobilityBonus[PieceType-2][attacked] contains bonuses for middle and end game,
// indexed by piece type and number of attacked squares in the mobility area.
constexpr Score MobilityBonus[][32] = {
{ S(-62,-79), S(-53,-57), S(-12,-31), S( -3,-17), S( 3, 7), S( 12, 13), // Knight
S( 21, 16), S( 28, 21), S( 37, 26) },
{ S(-47,-59), S(-20,-25), S( 14, -8), S( 29, 12), S( 39, 21), S( 53, 40), // Bishop
S( 53, 56), S( 60, 58), S( 62, 65), S( 69, 72), S( 78, 78), S( 83, 87),
S( 91, 88), S( 96, 98) },
{ S(-60,-82), S(-24,-15), S( 0, 17) ,S( 3, 43), S( 4, 72), S( 14,100), // Rook
S( 20,102), S( 30,122), S( 41,133), S(41 ,139), S( 41,153), S( 45,160),
S( 57,165), S( 58,170), S( 67,175) },
{ S(-29,-49), S(-16,-29), S( -8, -8), S( -8, 17), S( 18, 39), S( 25, 54), // Queen
S( 23, 59), S( 37, 73), S( 41, 76), S( 54, 95), S( 65, 95) ,S( 68,101),
S( 69,124), S( 70,128), S( 70,132), S( 70,133) ,S( 71,136), S( 72,140),
S( 74,147), S( 76,149), S( 90,153), S(104,169), S(105,171), S(106,171),
S(112,178), S(114,185), S(114,187), S(119,221) }
};
// BishopPawns[distance from edge] contains a file-dependent penalty for pawns on
// squares of the same color as our bishop.
constexpr Score BishopPawns[int(FILE_NB) / 2] = {
S(3, 8), S(3, 9), S(2, 7), S(3, 7)
};
// KingProtector[knight/bishop] contains penalty for each distance unit to own king
constexpr Score KingProtector[] = { S(9, 9), S(7, 9) };
// Outpost[knight/bishop] contains bonuses for each knight or bishop occupying a
// pawn protected square on rank 4 to 6 which is also safe from a pawn attack.
constexpr Score Outpost[] = { S(54, 34), S(31, 25) };
// PassedRank[Rank] contains a bonus according to the rank of a passed pawn
constexpr Score PassedRank[RANK_NB] = {
S(0, 0), S(2, 38), S(15, 36), S(22, 50), S(64, 81), S(166, 184), S(284, 269)
};
constexpr Score RookOnClosedFile = S(10, 5);
constexpr Score RookOnOpenFile[] = { S(18, 8), S(49, 26) };
// ThreatByMinor/ByRook[attacked PieceType] contains bonuses according to
// which piece type attacks which one. Attacks on lesser pieces which are
// pawn-defended are not considered.
constexpr Score ThreatByMinor[PIECE_TYPE_NB] = {
S(0, 0), S(6, 37), S(64, 50), S(82, 57), S(103, 130), S(81, 163)
};
constexpr Score ThreatByRook[PIECE_TYPE_NB] = {
S(0, 0), S(3, 44), S(36, 71), S(44, 59), S(0, 39), S(60, 39)
};
constexpr Value CorneredBishop = Value(50);
// Assorted bonuses and penalties
constexpr Score UncontestedOutpost = S( 0, 10);
constexpr Score BishopOnKingRing = S( 24, 0);
constexpr Score BishopXRayPawns = S( 4, 5);
constexpr Score FlankAttacks = S( 8, 0);
constexpr Score Hanging = S( 72, 40);
constexpr Score KnightOnQueen = S( 16, 11);
constexpr Score LongDiagonalBishop = S( 45, 0);
constexpr Score MinorBehindPawn = S( 18, 3);
constexpr Score PassedFile = S( 13, 8);
constexpr Score PawnlessFlank = S( 19, 97);
constexpr Score ReachableOutpost = S( 33, 19);
constexpr Score RestrictedPiece = S( 6, 7);
constexpr Score RookOnKingRing = S( 16, 0);
constexpr Score SliderOnQueen = S( 62, 21);
constexpr Score ThreatByKing = S( 24, 87);
constexpr Score ThreatByPawnPush = S( 48, 39);
constexpr Score ThreatBySafePawn = S(167, 99);
constexpr Score TrappedRook = S( 55, 13);
constexpr Score WeakQueenProtection = S( 14, 0);
constexpr Score WeakQueen = S( 57, 19);
#undef S
// Evaluation class computes and stores attacks tables and other working data
template<Tracing T>
class Evaluation {
public:
Evaluation() = delete;
explicit Evaluation(const Position& p) : pos(p) {}
Evaluation& operator=(const Evaluation&) = delete;
Value value();
private:
template<Color Us> void initialize();
template<Color Us, PieceType Pt> Score pieces();
template<Color Us> Score king() const;
template<Color Us> Score threats() const;
template<Color Us> Score passed() const;
template<Color Us> Score space() const;
Value winnable(Score score) const;
const Position& pos;
Material::Entry* me;
Pawns::Entry* pe;
Bitboard mobilityArea[COLOR_NB];
Score mobility[COLOR_NB] = { SCORE_ZERO, SCORE_ZERO };
// attackedBy[color][piece type] is a bitboard representing all squares
// attacked by a given color and piece type. Special "piece types" which
// is also calculated is ALL_PIECES.
Bitboard attackedBy[COLOR_NB][PIECE_TYPE_NB];
// attackedBy2[color] are the squares attacked by at least 2 units of a given
// color, including x-rays. But diagonal x-rays through pawns are not computed.
Bitboard attackedBy2[COLOR_NB];
// kingRing[color] are the squares adjacent to the king plus some other
// very near squares, depending on king position.
Bitboard kingRing[COLOR_NB];
// kingAttackersCount[color] is the number of pieces of the given color
// which attack a square in the kingRing of the enemy king.
int kingAttackersCount[COLOR_NB];
// kingAttackersWeight[color] is the sum of the "weights" of the pieces of
// the given color which attack a square in the kingRing of the enemy king.
// The weights of the individual piece types are given by the elements in
// the KingAttackWeights array.
int kingAttackersWeight[COLOR_NB];
// kingAttacksCount[color] is the number of attacks by the given color to
// squares directly adjacent to the enemy king. Pieces which attack more
// than one square are counted multiple times. For instance, if there is
// a white knight on g5 and black's king is on g8, this white knight adds 2
// to kingAttacksCount[WHITE].
int kingAttacksCount[COLOR_NB];
};
// Evaluation::initialize() computes king and pawn attacks, and the king ring
// bitboard for a given color. This is done at the beginning of the evaluation.
template<Tracing T> template<Color Us>
void Evaluation<T>::initialize() {
constexpr Color Them = ~Us;
constexpr Direction Up = pawn_push(Us);
constexpr Direction Down = -Up;
constexpr Bitboard LowRanks = (Us == WHITE ? Rank2BB | Rank3BB : Rank7BB | Rank6BB);
const Square ksq = pos.square<KING>(Us);
Bitboard dblAttackByPawn = pawn_double_attacks_bb<Us>(pos.pieces(Us, PAWN));
// Find our pawns that are blocked or on the first two ranks
Bitboard b = pos.pieces(Us, PAWN) & (shift<Down>(pos.pieces()) | LowRanks);
// Squares occupied by those pawns, by our king or queen, by blockers to attacks on our king
// or controlled by enemy pawns are excluded from the mobility area.
mobilityArea[Us] = ~(b | pos.pieces(Us, KING, QUEEN) | pos.blockers_for_king(Us) | pe->pawn_attacks(Them));
// Initialize attackedBy[] for king and pawns
attackedBy[Us][KING] = attacks_bb<KING>(ksq);
attackedBy[Us][PAWN] = pe->pawn_attacks(Us);
attackedBy[Us][ALL_PIECES] = attackedBy[Us][KING] | attackedBy[Us][PAWN];
attackedBy2[Us] = dblAttackByPawn | (attackedBy[Us][KING] & attackedBy[Us][PAWN]);
// Init our king safety tables
Square s = make_square(std::clamp(file_of(ksq), FILE_B, FILE_G),
std::clamp(rank_of(ksq), RANK_2, RANK_7));
kingRing[Us] = attacks_bb<KING>(s) | s;
kingAttackersCount[Them] = popcount(kingRing[Us] & pe->pawn_attacks(Them));
kingAttacksCount[Them] = kingAttackersWeight[Them] = 0;
// Remove from kingRing[] the squares defended by two pawns
kingRing[Us] &= ~dblAttackByPawn;
}
// Evaluation::pieces() scores pieces of a given color and type
template<Tracing T> template<Color Us, PieceType Pt>
Score Evaluation<T>::pieces() {
constexpr Color Them = ~Us;
constexpr Direction Down = -pawn_push(Us);
constexpr Bitboard OutpostRanks = (Us == WHITE ? Rank4BB | Rank5BB | Rank6BB
: Rank5BB | Rank4BB | Rank3BB);
Bitboard b1 = pos.pieces(Us, Pt);
Bitboard b, bb;
Score score = SCORE_ZERO;
attackedBy[Us][Pt] = 0;
while (b1)
{
Square s = pop_lsb(b1);
// Find attacked squares, including x-ray attacks for bishops and rooks
b = Pt == BISHOP ? attacks_bb<BISHOP>(s, pos.pieces() ^ pos.pieces(QUEEN))
: Pt == ROOK ? attacks_bb< ROOK>(s, pos.pieces() ^ pos.pieces(QUEEN) ^ pos.pieces(Us, ROOK))
: attacks_bb<Pt>(s, pos.pieces());
if (pos.blockers_for_king(Us) & s)
b &= line_bb(pos.square<KING>(Us), s);
attackedBy2[Us] |= attackedBy[Us][ALL_PIECES] & b;
attackedBy[Us][Pt] |= b;
attackedBy[Us][ALL_PIECES] |= b;
if (b & kingRing[Them])
{
kingAttackersCount[Us]++;
kingAttackersWeight[Us] += KingAttackWeights[Pt];
kingAttacksCount[Us] += popcount(b & attackedBy[Them][KING]);
}
else if (Pt == ROOK && (file_bb(s) & kingRing[Them]))
score += RookOnKingRing;
else if (Pt == BISHOP && (attacks_bb<BISHOP>(s, pos.pieces(PAWN)) & kingRing[Them]))
score += BishopOnKingRing;
int mob = popcount(b & mobilityArea[Us]);
mobility[Us] += MobilityBonus[Pt - 2][mob];
if (Pt == BISHOP || Pt == KNIGHT)
{
// Bonus if the piece is on an outpost square or can reach one
// Bonus for knights (UncontestedOutpost) if few relevant targets
bb = OutpostRanks & (attackedBy[Us][PAWN] | shift<Down>(pos.pieces(PAWN)))
& ~pe->pawn_attacks_span(Them);
Bitboard targets = pos.pieces(Them) & ~pos.pieces(PAWN);
if ( Pt == KNIGHT
&& bb & s & ~CenterFiles // on a side outpost
&& !(b & targets) // no relevant attacks
&& (!more_than_one(targets & (s & QueenSide ? QueenSide : KingSide))))
score += UncontestedOutpost * popcount(pos.pieces(PAWN) & (s & QueenSide ? QueenSide : KingSide));
else if (bb & s)
score += Outpost[Pt == BISHOP];
else if (Pt == KNIGHT && bb & b & ~pos.pieces(Us))
score += ReachableOutpost;
// Bonus for a knight or bishop shielded by pawn
if (shift<Down>(pos.pieces(PAWN)) & s)
score += MinorBehindPawn;
// Penalty if the piece is far from the king
score -= KingProtector[Pt == BISHOP] * distance(pos.square<KING>(Us), s);
if constexpr (Pt == BISHOP)
{
// Penalty according to the number of our pawns on the same color square as the
// bishop, bigger when the center files are blocked with pawns and smaller
// when the bishop is outside the pawn chain.
Bitboard blocked = pos.pieces(Us, PAWN) & shift<Down>(pos.pieces());
score -= BishopPawns[edge_distance(file_of(s))] * pos.pawns_on_same_color_squares(Us, s)
* (!(attackedBy[Us][PAWN] & s) + popcount(blocked & CenterFiles));
// Penalty for all enemy pawns x-rayed
score -= BishopXRayPawns * popcount(attacks_bb<BISHOP>(s) & pos.pieces(Them, PAWN));
// Bonus for bishop on a long diagonal which can "see" both center squares
if (more_than_one(attacks_bb<BISHOP>(s, pos.pieces(PAWN)) & Center))
score += LongDiagonalBishop;
// An important Chess960 pattern: a cornered bishop blocked by a friendly
// pawn diagonally in front of it is a very serious problem, especially
// when that pawn is also blocked.
if ( pos.is_chess960()
&& (s == relative_square(Us, SQ_A1) || s == relative_square(Us, SQ_H1)))
{
Direction d = pawn_push(Us) + (file_of(s) == FILE_A ? EAST : WEST);
if (pos.piece_on(s + d) == make_piece(Us, PAWN))
score -= !pos.empty(s + d + pawn_push(Us)) ? 4 * make_score(CorneredBishop, CorneredBishop)
: 3 * make_score(CorneredBishop, CorneredBishop);
}
}
}
if constexpr (Pt == ROOK)
{
// Bonuses for rook on a (semi-)open or closed file
if (pos.is_on_semiopen_file(Us, s))
{
score += RookOnOpenFile[pos.is_on_semiopen_file(Them, s)];
}
else
{
// If our pawn on this file is blocked, increase penalty
if ( pos.pieces(Us, PAWN)
& shift<Down>(pos.pieces())
& file_bb(s))
{
score -= RookOnClosedFile;
}
// Penalty when trapped by the king, even more if the king cannot castle
if (mob <= 3)
{
File kf = file_of(pos.square<KING>(Us));
if ((kf < FILE_E) == (file_of(s) < kf))
score -= TrappedRook * (1 + !pos.castling_rights(Us));
}
}
}
if constexpr (Pt == QUEEN)
{
// Penalty if any relative pin or discovered attack against the queen
Bitboard queenPinners;
if (pos.slider_blockers(pos.pieces(Them, ROOK, BISHOP), s, queenPinners))
score -= WeakQueen;
}
}
if constexpr (T)
Trace::add(Pt, Us, score);
return score;
}
// Evaluation::king() assigns bonuses and penalties to a king of a given color
template<Tracing T> template<Color Us>
Score Evaluation<T>::king() const {
constexpr Color Them = ~Us;
constexpr Bitboard Camp = (Us == WHITE ? AllSquares ^ Rank6BB ^ Rank7BB ^ Rank8BB
: AllSquares ^ Rank1BB ^ Rank2BB ^ Rank3BB);
Bitboard weak, b1, b2, b3, safe, unsafeChecks = 0;
Bitboard rookChecks, queenChecks, bishopChecks, knightChecks;
int kingDanger = 0;
const Square ksq = pos.square<KING>(Us);
// Init the score with king shelter and enemy pawns storm
Score score = pe->king_safety<Us>(pos);
// Attacked squares defended at most once by our queen or king
weak = attackedBy[Them][ALL_PIECES]
& ~attackedBy2[Us]
& (~attackedBy[Us][ALL_PIECES] | attackedBy[Us][KING] | attackedBy[Us][QUEEN]);
// Analyse the safe enemy's checks which are possible on next move
safe = ~pos.pieces(Them);
safe &= ~attackedBy[Us][ALL_PIECES] | (weak & attackedBy2[Them]);
b1 = attacks_bb<ROOK >(ksq, pos.pieces() ^ pos.pieces(Us, QUEEN));
b2 = attacks_bb<BISHOP>(ksq, pos.pieces() ^ pos.pieces(Us, QUEEN));
// Enemy rooks checks
rookChecks = b1 & attackedBy[Them][ROOK] & safe;
if (rookChecks)
kingDanger += SafeCheck[ROOK][more_than_one(rookChecks)];
else
unsafeChecks |= b1 & attackedBy[Them][ROOK];
// Enemy queen safe checks: count them only if the checks are from squares from
// which opponent cannot give a rook check, because rook checks are more valuable.
queenChecks = (b1 | b2) & attackedBy[Them][QUEEN] & safe
& ~(attackedBy[Us][QUEEN] | rookChecks);
if (queenChecks)
kingDanger += SafeCheck[QUEEN][more_than_one(queenChecks)];
// Enemy bishops checks: count them only if they are from squares from which
// opponent cannot give a queen check, because queen checks are more valuable.
bishopChecks = b2 & attackedBy[Them][BISHOP] & safe
& ~queenChecks;
if (bishopChecks)
kingDanger += SafeCheck[BISHOP][more_than_one(bishopChecks)];
else
unsafeChecks |= b2 & attackedBy[Them][BISHOP];
// Enemy knights checks
knightChecks = attacks_bb<KNIGHT>(ksq) & attackedBy[Them][KNIGHT];
if (knightChecks & safe)
kingDanger += SafeCheck[KNIGHT][more_than_one(knightChecks & safe)];
else
unsafeChecks |= knightChecks;
// Find the squares that opponent attacks in our king flank, the squares
// which they attack twice in that flank, and the squares that we defend.
b1 = attackedBy[Them][ALL_PIECES] & KingFlank[file_of(ksq)] & Camp;
b2 = b1 & attackedBy2[Them];
b3 = attackedBy[Us][ALL_PIECES] & KingFlank[file_of(ksq)] & Camp;
int kingFlankAttack = popcount(b1) + popcount(b2);
int kingFlankDefense = popcount(b3);
kingDanger += kingAttackersCount[Them] * kingAttackersWeight[Them] // (~10 Elo)
+ 183 * popcount(kingRing[Us] & weak) // (~15 Elo)
+ 148 * popcount(unsafeChecks) // (~4 Elo)
+ 98 * popcount(pos.blockers_for_king(Us)) // (~2 Elo)
+ 69 * kingAttacksCount[Them] // (~0.5 Elo)
+ 3 * kingFlankAttack * kingFlankAttack / 8 // (~0.5 Elo)
+ mg_value(mobility[Them] - mobility[Us]) // (~0.5 Elo)
- 873 * !pos.count<QUEEN>(Them) // (~24 Elo)
- 100 * bool(attackedBy[Us][KNIGHT] & attackedBy[Us][KING]) // (~5 Elo)
- 6 * mg_value(score) / 8 // (~8 Elo)
- 4 * kingFlankDefense // (~5 Elo)
+ 37; // (~0.5 Elo)
// Transform the kingDanger units into a Score, and subtract it from the evaluation
if (kingDanger > 100)
score -= make_score(kingDanger * kingDanger / 4096, kingDanger / 16);
// Penalty when our king is on a pawnless flank
if (!(pos.pieces(PAWN) & KingFlank[file_of(ksq)]))
score -= PawnlessFlank;
// Penalty if king flank is under attack, potentially moving toward the king
score -= FlankAttacks * kingFlankAttack;
if constexpr (T)
Trace::add(KING, Us, score);
return score;
}
// Evaluation::threats() assigns bonuses according to the types of the
// attacking and the attacked pieces.
template<Tracing T> template<Color Us>
Score Evaluation<T>::threats() const {
constexpr Color Them = ~Us;
constexpr Direction Up = pawn_push(Us);
constexpr Bitboard TRank3BB = (Us == WHITE ? Rank3BB : Rank6BB);
Bitboard b, weak, defended, nonPawnEnemies, stronglyProtected, safe;
Score score = SCORE_ZERO;
// Non-pawn enemies
nonPawnEnemies = pos.pieces(Them) & ~pos.pieces(PAWN);
// Squares strongly protected by the enemy, either because they defend the
// square with a pawn, or because they defend the square twice and we don't.
stronglyProtected = attackedBy[Them][PAWN]
| (attackedBy2[Them] & ~attackedBy2[Us]);
// Non-pawn enemies, strongly protected
defended = nonPawnEnemies & stronglyProtected;
// Enemies not strongly protected and under our attack
weak = pos.pieces(Them) & ~stronglyProtected & attackedBy[Us][ALL_PIECES];
// Bonus according to the kind of attacking pieces
if (defended | weak)
{
b = (defended | weak) & (attackedBy[Us][KNIGHT] | attackedBy[Us][BISHOP]);
while (b)
score += ThreatByMinor[type_of(pos.piece_on(pop_lsb(b)))];
b = weak & attackedBy[Us][ROOK];
while (b)
score += ThreatByRook[type_of(pos.piece_on(pop_lsb(b)))];
if (weak & attackedBy[Us][KING])
score += ThreatByKing;
b = ~attackedBy[Them][ALL_PIECES]
| (nonPawnEnemies & attackedBy2[Us]);
score += Hanging * popcount(weak & b);
// Additional bonus if weak piece is only protected by a queen
score += WeakQueenProtection * popcount(weak & attackedBy[Them][QUEEN]);
}
// Bonus for restricting their piece moves
b = attackedBy[Them][ALL_PIECES]
& ~stronglyProtected
& attackedBy[Us][ALL_PIECES];
score += RestrictedPiece * popcount(b);
// Protected or unattacked squares
safe = ~attackedBy[Them][ALL_PIECES] | attackedBy[Us][ALL_PIECES];
// Bonus for attacking enemy pieces with our relatively safe pawns
b = pos.pieces(Us, PAWN) & safe;
b = pawn_attacks_bb<Us>(b) & nonPawnEnemies;
score += ThreatBySafePawn * popcount(b);
// Find squares where our pawns can push on the next move
b = shift<Up>(pos.pieces(Us, PAWN)) & ~pos.pieces();
b |= shift<Up>(b & TRank3BB) & ~pos.pieces();
// Keep only the squares which are relatively safe
b &= ~attackedBy[Them][PAWN] & safe;
// Bonus for safe pawn threats on the next move
b = pawn_attacks_bb<Us>(b) & nonPawnEnemies;
score += ThreatByPawnPush * popcount(b);
// Bonus for threats on the next moves against enemy queen
if (pos.count<QUEEN>(Them) == 1)
{
bool queenImbalance = pos.count<QUEEN>() == 1;
Square s = pos.square<QUEEN>(Them);
safe = mobilityArea[Us]
& ~pos.pieces(Us, PAWN)
& ~stronglyProtected;
b = attackedBy[Us][KNIGHT] & attacks_bb<KNIGHT>(s);
score += KnightOnQueen * popcount(b & safe) * (1 + queenImbalance);
b = (attackedBy[Us][BISHOP] & attacks_bb<BISHOP>(s, pos.pieces()))
| (attackedBy[Us][ROOK ] & attacks_bb<ROOK >(s, pos.pieces()));
score += SliderOnQueen * popcount(b & safe & attackedBy2[Us]) * (1 + queenImbalance);
}
if constexpr (T)
Trace::add(THREAT, Us, score);
return score;
}
// Evaluation::passed() evaluates the passed pawns and candidate passed
// pawns of the given color.
template<Tracing T> template<Color Us>
Score Evaluation<T>::passed() const {
constexpr Color Them = ~Us;
constexpr Direction Up = pawn_push(Us);
constexpr Direction Down = -Up;
auto king_proximity = [&](Color c, Square s) {
return std::min(distance(pos.square<KING>(c), s), 5);
};
Bitboard b, bb, squaresToQueen, unsafeSquares, blockedPassers, helpers;
Score score = SCORE_ZERO;
b = pe->passed_pawns(Us);
blockedPassers = b & shift<Down>(pos.pieces(Them, PAWN));
if (blockedPassers)
{
helpers = shift<Up>(pos.pieces(Us, PAWN))
& ~pos.pieces(Them)
& (~attackedBy2[Them] | attackedBy[Us][ALL_PIECES]);
// Remove blocked candidate passers that don't have help to pass
b &= ~blockedPassers
| shift<WEST>(helpers)
| shift<EAST>(helpers);
}
while (b)
{
Square s = pop_lsb(b);
assert(!(pos.pieces(Them, PAWN) & forward_file_bb(Us, s + Up)));
int r = relative_rank(Us, s);
Score bonus = PassedRank[r];
if (r > RANK_3)
{
int w = 5 * r - 13;
Square blockSq = s + Up;
// Adjust bonus based on the king's proximity
bonus += make_score(0, ( king_proximity(Them, blockSq) * 19 / 4
- king_proximity(Us, blockSq) * 2) * w);
// If blockSq is not the queening square then consider also a second push
if (r != RANK_7)
bonus -= make_score(0, king_proximity(Us, blockSq + Up) * w);
// If the pawn is free to advance, then increase the bonus
if (pos.empty(blockSq))
{
squaresToQueen = forward_file_bb(Us, s);
unsafeSquares = passed_pawn_span(Us, s);
bb = forward_file_bb(Them, s) & pos.pieces(ROOK, QUEEN);
if (!(pos.pieces(Them) & bb))
unsafeSquares &= attackedBy[Them][ALL_PIECES] | pos.pieces(Them);
// If there are no enemy pieces or attacks on passed pawn span, assign a big bonus.
// Or if there is some, but they are all attacked by our pawns, assign a bit smaller bonus.
// Otherwise assign a smaller bonus if the path to queen is not attacked
// and even smaller bonus if it is attacked but block square is not.
int k = !unsafeSquares ? 36 :
!(unsafeSquares & ~attackedBy[Us][PAWN]) ? 30 :
!(unsafeSquares & squaresToQueen) ? 17 :
!(unsafeSquares & blockSq) ? 7 :
0 ;
// Assign a larger bonus if the block square is defended
if ((pos.pieces(Us) & bb) || (attackedBy[Us][ALL_PIECES] & blockSq))
k += 5;
bonus += make_score(k * w, k * w);
}
} // r > RANK_3
score += bonus - PassedFile * edge_distance(file_of(s));
}
if constexpr (T)
Trace::add(PASSED, Us, score);
return score;
}
// Evaluation::space() computes a space evaluation for a given side, aiming to improve game
// play in the opening. It is based on the number of safe squares on the four central files
// on ranks 2 to 4. Completely safe squares behind a friendly pawn are counted twice.
// Finally, the space bonus is multiplied by a weight which decreases according to occupancy.
template<Tracing T> template<Color Us>
Score Evaluation<T>::space() const {
// Early exit if, for example, both queens or 6 minor pieces have been exchanged
if (pos.non_pawn_material() < SpaceThreshold)
return SCORE_ZERO;
constexpr Color Them = ~Us;
constexpr Direction Down = -pawn_push(Us);
constexpr Bitboard SpaceMask =
Us == WHITE ? CenterFiles & (Rank2BB | Rank3BB | Rank4BB)
: CenterFiles & (Rank7BB | Rank6BB | Rank5BB);
// Find the available squares for our pieces inside the area defined by SpaceMask
Bitboard safe = SpaceMask
& ~pos.pieces(Us, PAWN)
& ~attackedBy[Them][PAWN];
// Find all squares which are at most three squares behind some friendly pawn
Bitboard behind = pos.pieces(Us, PAWN);
behind |= shift<Down>(behind);
behind |= shift<Down+Down>(behind);
// Compute space score based on the number of safe squares and number of our pieces
// increased with number of total blocked pawns in position.
int bonus = popcount(safe) + popcount(behind & safe & ~attackedBy[Them][ALL_PIECES]);
int weight = pos.count<ALL_PIECES>(Us) - 3 + std::min(pe->blocked_count(), 9);
Score score = make_score(bonus * weight * weight / 16, 0);
if constexpr (T)
Trace::add(SPACE, Us, score);
return score;
}
// Evaluation::winnable() adjusts the midgame and endgame score components, based on
// the known attacking/defending status of the players. The final value is derived
// by interpolation from the midgame and endgame values.
template<Tracing T>
Value Evaluation<T>::winnable(Score score) const {
int outflanking = distance<File>(pos.square<KING>(WHITE), pos.square<KING>(BLACK))
+ int(rank_of(pos.square<KING>(WHITE)) - rank_of(pos.square<KING>(BLACK)));
bool pawnsOnBothFlanks = (pos.pieces(PAWN) & QueenSide)
&& (pos.pieces(PAWN) & KingSide);
bool almostUnwinnable = outflanking < 0
&& !pawnsOnBothFlanks;
bool infiltration = rank_of(pos.square<KING>(WHITE)) > RANK_4
|| rank_of(pos.square<KING>(BLACK)) < RANK_5;
// Compute the initiative bonus for the attacking side
int complexity = 9 * pe->passed_count()
+ 12 * pos.count<PAWN>()
+ 9 * outflanking
+ 21 * pawnsOnBothFlanks
+ 24 * infiltration
+ 51 * !pos.non_pawn_material()
- 43 * almostUnwinnable
-110 ;
Value mg = mg_value(score);
Value eg = eg_value(score);
// Now apply the bonus: note that we find the attacking side by extracting the
// sign of the midgame or endgame values, and that we carefully cap the bonus
// so that the midgame and endgame scores do not change sign after the bonus.
int u = ((mg > 0) - (mg < 0)) * std::clamp(complexity + 50, -abs(mg), 0);
int v = ((eg > 0) - (eg < 0)) * std::max(complexity, -abs(eg));
mg += u;
eg += v;
// Compute the scale factor for the winning side
Color strongSide = eg > VALUE_DRAW ? WHITE : BLACK;
int sf = me->scale_factor(pos, strongSide);
// If scale factor is not already specific, scale up/down via general heuristics
if (sf == SCALE_FACTOR_NORMAL)
{
if (pos.opposite_bishops())
{
// For pure opposite colored bishops endgames use scale factor
// based on the number of passed pawns of the strong side.
if ( pos.non_pawn_material(WHITE) == BishopValueMg
&& pos.non_pawn_material(BLACK) == BishopValueMg)
sf = 18 + 4 * popcount(pe->passed_pawns(strongSide));
// For every other opposite colored bishops endgames use scale factor
// based on the number of all pieces of the strong side.
else
sf = 22 + 3 * pos.count<ALL_PIECES>(strongSide);
}
// For rook endgames with strong side not having overwhelming pawn number advantage
// and its pawns being on one flank and weak side protecting its pieces with a king
// use lower scale factor.
else if ( pos.non_pawn_material(WHITE) == RookValueMg
&& pos.non_pawn_material(BLACK) == RookValueMg
&& pos.count<PAWN>(strongSide) - pos.count<PAWN>(~strongSide) <= 1
&& bool(KingSide & pos.pieces(strongSide, PAWN)) != bool(QueenSide & pos.pieces(strongSide, PAWN))
&& (attacks_bb<KING>(pos.square<KING>(~strongSide)) & pos.pieces(~strongSide, PAWN)))
sf = 36;
// For queen vs no queen endgames use scale factor
// based on number of minors of side that doesn't have queen.
else if (pos.count<QUEEN>() == 1)
sf = 37 + 3 * (pos.count<QUEEN>(WHITE) == 1 ? pos.count<BISHOP>(BLACK) + pos.count<KNIGHT>(BLACK)
: pos.count<BISHOP>(WHITE) + pos.count<KNIGHT>(WHITE));
// In every other case use scale factor based on
// the number of pawns of the strong side reduced if pawns are on a single flank.
else
sf = std::min(sf, 36 + 7 * pos.count<PAWN>(strongSide)) - 4 * !pawnsOnBothFlanks;
// Reduce scale factor in case of pawns being on a single flank
sf -= 4 * !pawnsOnBothFlanks;
}
// Interpolate between the middlegame and (scaled by 'sf') endgame score
v = mg * int(me->game_phase())
+ eg * int(PHASE_MIDGAME - me->game_phase()) * ScaleFactor(sf) / SCALE_FACTOR_NORMAL;
v /= PHASE_MIDGAME;
if constexpr (T)
{
Trace::add(WINNABLE, make_score(u, eg * ScaleFactor(sf) / SCALE_FACTOR_NORMAL - eg_value(score)));
Trace::add(TOTAL, make_score(mg, eg * ScaleFactor(sf) / SCALE_FACTOR_NORMAL));
}
return Value(v);
}
// Evaluation::value() is the main function of the class. It computes the various
// parts of the evaluation and returns the value of the position from the point
// of view of the side to move.
template<Tracing T>
Value Evaluation<T>::value() {
assert(!pos.checkers());
// Probe the material hash table
me = Material::probe(pos);
// If we have a specialized evaluation function for the current material
// configuration, call it and return.
if (me->specialized_eval_exists())
return me->evaluate(pos);
// Initialize score by reading the incrementally updated scores included in
// the position object (material + piece square tables) and the material
// imbalance. Score is computed internally from the white point of view.
Score score = pos.psq_score() + me->imbalance();
// Probe the pawn hash table
pe = Pawns::probe(pos);
score += pe->pawn_score(WHITE) - pe->pawn_score(BLACK);
// Early exit if score is high
auto lazy_skip = [&](Value lazyThreshold) {
return abs(mg_value(score) + eg_value(score)) > lazyThreshold
+ std::abs(pos.this_thread()->bestValue) * 5 / 4
+ pos.non_pawn_material() / 32;
};
if (lazy_skip(LazyThreshold1))
goto make_v;
// Main evaluation begins here