Introduce pawn structure based history

Original idea by Seer chess engine https://github.com/connormcmonigle/seer-nnue,
coding done by @Disservin, code refactoring done by @locutus2 to match the style
of other histories.

This patch introduces pawn structure based history, which assings moves values
based on last digits of pawn structure hash and piece type of moved piece and
landing square of the move. Idea is that good places for pieces are quite often
determined by pawn structure of position. Used in 3 different places
- sorting of quiet moves, sorting of quiet check evasions and in history based
pruning in search.

Passed STC:
https://tests.stockfishchess.org/tests/view/65391d08cc309ae83955dbaf
LLR: 2.95 (-2.94,2.94) <0.00,2.00>
Total: 155488 W: 39408 L: 38913 D: 77167
Ptnml(0-2): 500, 18427, 39408, 18896, 513

Passed LTC:
https://tests.stockfishchess.org/tests/view/653a36a2cc309ae83955f181
LLR: 2.94 (-2.94,2.94) <0.50,2.50>
Total: 70110 W: 17548 L: 17155 D: 35407
Ptnml(0-2): 33, 7859, 18889, 8230, 44

closes https://github.com/official-stockfish/Stockfish/pull/4849

Bench: 1257882

Co-Authored-By: Disservin <disservin.social@gmail.com>
Co-Authored-By: Stefan Geschwentner <locutus2@users.noreply.github.com>

src/movepick.h

@@ -28,9 +28,13 @@
 
 #include "movegen.h"
 #include "types.h"
+#include "position.h"
 
 namespace Stockfish {
-class Position;
+
+constexpr int PAWN_HISTORY_SIZE = 512;
+
+inline int pawn_structure(const Position& pos) { return pos.pawn_key() & (PAWN_HISTORY_SIZE - 1); }
 
 // StatsEntry stores the stat table value. It is usually a number but could
 // be a move or even a nested history. We use a class instead of a naked value
@@ -112,6 +116,8 @@ using PieceToHistory = Stats<int16_t, 29952, PIECE_NB, SQUARE_NB>;
 // (~63 elo)
 using ContinuationHistory = Stats<PieceToHistory, NOT_USED, PIECE_NB, SQUARE_NB>;
 
+// PawnStructureHistory is addressed by the pawn structure and a move's [piece][to]
+using PawnHistory = Stats<int16_t, 8192, PAWN_HISTORY_SIZE, PIECE_NB, SQUARE_NB>;
 
 // MovePicker class is used to pick one pseudo-legal move at a time from the
 // current position. The most important method is next_move(), which returns a
@@ -135,6 +141,7 @@ class MovePicker {
                const ButterflyHistory*,
                const CapturePieceToHistory*,
                const PieceToHistory**,
+               const PawnHistory&,
                Move,
                const Move*);
     MovePicker(const Position&,
@@ -143,8 +150,9 @@ class MovePicker {
                const ButterflyHistory*,
                const CapturePieceToHistory*,
                const PieceToHistory**,
+               const PawnHistory&,
                Square);
-    MovePicker(const Position&, Move, Value, const CapturePieceToHistory*);
+    MovePicker(const Position&, Move, Value, const CapturePieceToHistory*, const PawnHistory&);
     Move next_move(bool skipQuiets = false);
 
    private:
@@ -159,6 +167,7 @@ class MovePicker {
     const ButterflyHistory*      mainHistory;
     const CapturePieceToHistory* captureHistory;
     const PieceToHistory**       continuationHistory;
+    const PawnHistory&           pawnHistory;
     Move                         ttMove;
     ExtMove                      refutations[3], *cur, *endMoves, *endBadCaptures;
     int                          stage;