Simplify aspiration window code

Here the main difference is that now we center
aspiration window on last returned score. This allows
to simplify handling of mate scores.

We have done a reversed SPRT tests, where we wanted to
verify if master is stronger than this patch.

Long TC: master vs this patch (reverse test)
LLR: -2.95 (-2.94,2.94)
Total: 37992 W: 7012 L: 6920 D: 24060

bench: 4507288

Author: mcostalba

src/search.cpp

@@ -296,9 +296,12 @@ namespace {
     Value bestValue, alpha, beta, delta;
 
     memset(ss-1, 0, 4 * sizeof(Stack));
-    depth = BestMoveChanges = 0;
-    bestValue = delta = -VALUE_INFINITE;
     (ss-1)->currentMove = MOVE_NULL; // Hack to skip update gains
+
+    depth = BestMoveChanges = 0;
+    bestValue = delta = alpha = -VALUE_INFINITE;
+    beta = VALUE_INFINITE;
+
     TT.new_search();
     History.clear();
     Gains.clear();
@@ -328,17 +331,12 @@ namespace {
         // MultiPV loop. We perform a full root search for each PV line
         for (PVIdx = 0; PVIdx < PVSize; PVIdx++)
         {
-            // Set aspiration window default width
-            if (depth >= 5 && abs(RootMoves[PVIdx].prevScore) < VALUE_KNOWN_WIN)
+            // Reset aspiration window starting size
+            if (depth >= 5)
             {
                 delta = Value(16);
-                alpha = RootMoves[PVIdx].prevScore - delta;
-                beta  = RootMoves[PVIdx].prevScore + delta;
-            }
-            else
-            {
-                alpha = -VALUE_INFINITE;
-                beta  =  VALUE_INFINITE;
+                alpha = std::max(RootMoves[PVIdx].prevScore - delta,-VALUE_INFINITE);
+                beta  = std::min(RootMoves[PVIdx].prevScore + delta, VALUE_INFINITE);
             }
 
             // Start with a small aspiration window and, in case of fail high/low,
@@ -366,35 +364,28 @@ namespace {
                 if (Signals.stop)
                     return;
 
-                // In case of failing high/low increase aspiration window and
+                // In case of failing low/high increase aspiration window and
                 // research, otherwise exit the loop.
-                if (bestValue > alpha && bestValue < beta)
-                    break;
-
-                // Give some update (without cluttering the UI) before to research
-                if (Time::now() - SearchTime > 3000)
-                    sync_cout << uci_pv(pos, depth, alpha, beta) << sync_endl;
-
-                if (abs(bestValue) >= VALUE_KNOWN_WIN)
+                if (bestValue <= alpha)
                 {
-                    alpha = -VALUE_INFINITE;
-                    beta  =  VALUE_INFINITE;
+                    alpha = std::max(bestValue - delta, -VALUE_INFINITE);
+
+                    Signals.failedLowAtRoot = true;
+                    Signals.stopOnPonderhit = false;
                 }
                 else if (bestValue >= beta)
-                {
-                    beta += delta;
-                    delta += delta / 2;
-                }
+                    beta = std::min(bestValue + delta, VALUE_INFINITE);
+
                 else
-                {
-                    Signals.failedLowAtRoot = true;
-                    Signals.stopOnPonderhit = false;
+                    break;
 
-                    alpha -= delta;
-                    delta += delta / 2;
-                }
+                delta += delta / 2;
 
                 assert(alpha >= -VALUE_INFINITE && beta <= VALUE_INFINITE);
+
+                // Give some update (without cluttering the UI) before to research
+                if (Time::now() - SearchTime > 3000)
+                    sync_cout << uci_pv(pos, depth, alpha, beta) << sync_endl;
             }
 
             // Sort the PV lines searched so far and update the GUI