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https://github.com/avitex/elixir-glicko
synced 2024-12-22 08:29:57 +00:00
Optimise calculations based on results
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@ -59,12 +59,9 @@ defmodule Glicko do
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sys_const = Keyword.get(opts, :system_constant, @default_system_constant)
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conv_tol = Keyword.get(opts, :convergence_tolerance, @default_convergence_tolerance)
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# Init
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# Initialization (skips steps 1, 2 and 3)
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player_pre_rd_sq = :math.pow(player_pre_rd, 2)
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results = Enum.map(results, &build_internal_result(player_pre_r, &1))
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results_effect = calc_results_effect(results)
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# Step 3
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variance_est = calc_variance_estimate(results)
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{variance_est, results_effect} = result_calculations(results, player_pre_r)
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# Step 4
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delta = calc_delta(results_effect, variance_est)
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# Step 5.1
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@ -93,24 +90,23 @@ defmodule Glicko do
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{player_post_r, player_post_rd, player_post_v}
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end
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defp build_internal_result(player_pre_r, result) do
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result =
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Map.new
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|> Map.put(:score, Result.score(result))
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|> Map.put(:opponent_r, Result.opponent_rating(result))
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|> Map.put(:opponent_rd, Result.opponent_rating_deviation(result))
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|> Map.put(:opponent_rd_g, calc_g(Result.opponent_rating_deviation(result)))
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defp result_calculations(results, player_pre_r) do
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{variance_estimate_acc, result_effect_acc} =
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Enum.reduce(results, {0.0, 0.0}, fn result, {variance_estimate_acc, result_effect_acc} ->
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opponent_rd_g =
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result
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|> Result.opponent_rating_deviation
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|> calc_g
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Map.put(result, :e, calc_e(player_pre_r, result.opponent_r, result.opponent_rd_g))
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end
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win_probability = calc_e(player_pre_r, Result.opponent_rating(result), opponent_rd_g)
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# Calculation of the estimated variance of the player's rating based on game outcomes
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defp calc_variance_estimate(results) do
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results
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|> Enum.reduce(0.0, fn result, acc ->
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acc + :math.pow(result.opponent_rd_g, 2) * result.e * (1 - result.e)
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end)
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|> :math.pow(-1)
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{
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variance_estimate_acc + :math.pow(opponent_rd_g, 2) * win_probability * (1 - win_probability),
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result_effect_acc + opponent_rd_g * (Result.score(result) - win_probability)
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}
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end)
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{:math.pow(variance_estimate_acc, -1), result_effect_acc}
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end
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defp calc_delta(results_effect, variance_est) do
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@ -132,12 +128,6 @@ defmodule Glicko do
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:math.exp(a / 2)
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end
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defp calc_results_effect(results) do
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Enum.reduce(results, 0.0, fn result, acc ->
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acc + result.opponent_rd_g * (result.score - result.e)
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end)
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end
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defp calc_new_player_rating(results_effect, player_pre_r, player_post_rd) do
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player_pre_r + :math.pow(player_post_rd, 2) * results_effect
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end
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