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Provide WDL statistics
A number of engines, GUIs and tournaments start to report WDL estimates along or instead of scores. This patch enables reporting of those stats in a more or less standard way (http://www.talkchess.com/forum3/viewtopic.php?t=72140) The model this reporting uses is based on data derived from a few million fishtest LTC games, given a score and a game ply, a win rate is provided that matches rather closely, especially in the intermediate range [0.05, 0.95] that data. Some data is shown at https://github.com/glinscott/fishtest/wiki/UsefulData#win-loss-draw-statistics-of-ltc-games-on-fishtest Making the conversion game ply dependent is important for a good fit, and is in line with experience that a +1 score in the early midgame is more likely a win than in the late endgame. Even when enabled, the printing of the info causes no significant overhead. Passed STC: LLR: 2.94 (-2.94,2.94) {-1.50,0.50} Total: 197112 W: 37226 L: 37347 D: 122539 Ptnml(0-2): 2591, 21025, 51464, 20866, 2610 https://tests.stockfishchess.org/tests/view/5ef79ef4f993893290cc146b closes https://github.com/official-stockfish/Stockfish/pull/2778 No functional change
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@@ -1835,6 +1835,9 @@ string UCI::pv(const Position& pos, Depth depth, Value alpha, Value beta) {
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<< " multipv " << i + 1
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<< " score " << UCI::value(v);
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if (Options["UCI_ShowWDL"])
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ss << UCI::wdl(v, pos.game_ply());
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if (!tb && i == pvIdx)
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ss << (v >= beta ? " lowerbound" : v <= alpha ? " upperbound" : "");
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