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https://github.com/avitex/elixir-glicko
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721ddbef2b |
@ -13,13 +13,13 @@ defmodule Glicko do
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...> Result.new(Player.new_v1([rating: 1700, rating_deviation: 300]), :loss)]
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iex> player = Player.new_v1([rating: 1500, rating_deviation: 200])
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iex> Glicko.new_rating(player, results, [system_constant: 0.5])
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{1464.0506705393013, 151.51652412385727}
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%Player.V1{rating: 1464.0506705393013, rating_deviation: 151.51652412385727}
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Get a player's new rating when they haven't played within a rating period.
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iex> player = Player.new_v1([rating: 1500, rating_deviation: 200])
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iex> Glicko.new_rating(player, [], [system_constant: 0.5])
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{1.5e3, 200.27141669877065}
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%Player.V1{rating: 1.5e3, rating_deviation: 200.27141669877065}
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Calculate the probability of a player winning against an opponent.
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@ -117,24 +117,33 @@ defmodule Glicko do
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Player.t()
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def new_rating(player, results, opts \\ [])
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def new_rating(player, results, opts) when tuple_size(player) == 3 do
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def new_rating(%Player.V2{} = player, results, opts) do
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do_new_rating(player, results, opts)
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end
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def new_rating(player, results, opts) when tuple_size(player) == 2 do
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def new_rating(%Player.V1{} = player, results, opts) do
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player
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|> Player.to_v2()
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|> do_new_rating(results, opts)
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|> Player.to_v1()
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end
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defp do_new_rating({player_r, player_pre_rd, player_v}, [], _) do
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player_post_rd = calc_player_post_base_rd(:math.pow(player_pre_rd, 2), player_v)
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defp do_new_rating(%Player.V2{} = player, [], _) do
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player_post_rd =
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calc_player_post_base_rd(:math.pow(player.rating_deviation, 2), player.volatility)
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{player_r, player_post_rd, player_v}
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%{player | rating_deviation: player_post_rd}
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end
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defp do_new_rating({player_pre_r, player_pre_rd, player_pre_v}, results, opts) do
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defp do_new_rating(
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%Player.V2{
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rating: player_pre_r,
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rating_deviation: player_pre_rd,
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volatility: player_pre_v
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},
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results,
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opts
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) 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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@ -184,7 +193,11 @@ defmodule Glicko do
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player_post_rd = calc_new_player_rating_deviation(player_post_base_rd, variance_est)
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player_post_r = calc_new_player_rating(results_effect, player_pre_r, player_post_rd)
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{player_post_r, player_post_rd, player_post_v}
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%Player.V2{
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rating: player_post_r,
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rating_deviation: player_post_rd,
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volatility: player_post_v
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}
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end
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defp result_calculations(results, player_pre_r) do
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@ -7,27 +7,27 @@ defmodule Glicko.Player do
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Create a *v1* player with the default values for an unrated player.
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iex> Player.new_v1
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{1.5e3, 350.0}
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%Player.V1{rating: 1.5e3, rating_deviation: 350.0}
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Create a *v2* player with the default values for an unrated player.
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iex> Player.new_v2
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{0.0, 2.014761872416068, 0.06}
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%Player.V2{rating: 0.0, rating_deviation: 2.014761872416068, volatility: 0.06}
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Create a player with custom values.
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iex> Player.new_v2([rating: 3.0, rating_deviation: 2.0, volatility: 0.05])
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{3.0, 2.0, 0.05}
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iex> Player.new_v2(rating: 3.0, rating_deviation: 2.0, volatility: 0.05)
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%Player.V2{rating: 3.0, rating_deviation: 2.0, volatility: 0.05}
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Convert a *v2* player to a *v1*. Note this drops the volatility.
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iex> Player.new_v2 |> Player.to_v1
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{1.5e3, 350.0}
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%Player.V1{rating: 1.5e3, rating_deviation: 350.0}
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Convert a *v1* player to a *v2*.
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iex> Player.new_v1 |> Player.to_v2(0.06)
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{0.0, 2.014761872416068, 0.06}
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%Player.V2{rating: 0.0, rating_deviation: 2.014761872416068, volatility: 0.06}
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Note calling `to_v1` with a *v1* player or likewise with `to_v2` and a *v2* player
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will pass-through unchanged. The volatility arg in this case is ignored.
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@ -38,39 +38,54 @@ defmodule Glicko.Player do
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"""
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defmodule V1 do
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@initial_rating 1500.0
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@initial_rating_deviation 350.0
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@type t :: %__MODULE__{
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rating: float(),
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rating_deviation: float()
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}
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defstruct rating: @initial_rating,
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rating_deviation: @initial_rating_deviation
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end
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defmodule V2 do
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@magic_version_scale 173.7178
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@magic_version_scale_rating 1500.0
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@v1_initial_rating 1500.0
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@v1_initial_rating_deviation 350.0
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@initial_rating (@v1_initial_rating - @magic_version_scale_rating) / @magic_version_scale
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@initial_rating_deviation @v1_initial_rating_deviation / @magic_version_scale
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@initial_volatility 0.06
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@type t :: %__MODULE__{
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rating: float(),
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rating_deviation: float(),
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volatility: float()
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}
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defstruct rating: @initial_rating,
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rating_deviation: @initial_rating_deviation,
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volatility: @initial_volatility
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end
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@magic_version_scale 173.7178
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@magic_version_scale_rating 1500.0
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@type t :: v1 | v2
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@type v1 :: {rating, rating_deviation}
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@type v2 :: {rating, rating_deviation, volatility}
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@type v1 :: V1.t()
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@type v2 :: V2.t()
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@type version :: :v1 | :v2
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@type rating :: float
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@type rating_deviation :: float
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@type volatility :: float
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@doc """
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The recommended initial rating value for a new player.
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"""
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@spec initial_rating(version) :: rating
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def initial_rating(_version = :v1), do: 1500.0
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def initial_rating(_version = :v2) do
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:v1 |> initial_rating |> scale_rating_to(:v2)
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end
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@doc """
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The recommended initial rating deviation value for a new player.
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"""
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@spec initial_rating_deviation(version) :: rating_deviation
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def initial_rating_deviation(_version = :v1), do: 350.0
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def initial_rating_deviation(_version = :v2) do
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:v1 |> initial_rating_deviation |> scale_rating_deviation_to(:v2)
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end
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@doc """
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The recommended initial volatility value for a new player.
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"""
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@ -84,10 +99,7 @@ defmodule Glicko.Player do
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"""
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@spec new_v1(rating: rating, rating_deviation: rating_deviation) :: v1
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def new_v1(opts \\ []) when is_list(opts) do
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{
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Keyword.get(opts, :rating, initial_rating(:v1)),
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Keyword.get(opts, :rating_deviation, initial_rating_deviation(:v1))
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}
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struct(V1, opts)
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end
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@doc """
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@ -97,11 +109,7 @@ defmodule Glicko.Player do
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"""
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@spec new_v2(rating: rating, rating_deviation: rating_deviation, volatility: volatility) :: v2
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def new_v2(opts \\ []) when is_list(opts) do
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{
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Keyword.get(opts, :rating, initial_rating(:v2)),
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Keyword.get(opts, :rating_deviation, initial_rating_deviation(:v2)),
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Keyword.get(opts, :volatility, initial_volatility())
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}
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struct(V2, opts)
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end
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@doc """
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@ -112,12 +120,12 @@ defmodule Glicko.Player do
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Note the volatility field used in a v2 player will be lost in the conversion.
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"""
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@spec to_v1(player :: t) :: v1
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def to_v1({rating, rating_deviation}), do: {rating, rating_deviation}
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def to_v1(%V1{} = player), do: player
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def to_v1({rating, rating_deviation, _}) do
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{
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rating |> scale_rating_to(:v1),
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rating_deviation |> scale_rating_deviation_to(:v1)
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def to_v1(%V2{rating: rating, rating_deviation: rating_deviation}) do
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%V1{
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rating: scale_rating_to(rating, :v1),
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rating_deviation: scale_rating_deviation_to(rating_deviation, :v1)
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}
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end
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@ -129,53 +137,52 @@ defmodule Glicko.Player do
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@spec to_v2(player :: t, volatility :: volatility) :: v2
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def to_v2(player, volatility \\ initial_volatility())
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def to_v2({rating, rating_deviation, volatility}, _volatility),
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do: {rating, rating_deviation, volatility}
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def to_v2({rating, rating_deviation}, volatility) do
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{
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rating |> scale_rating_to(:v2),
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rating_deviation |> scale_rating_deviation_to(:v2),
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volatility
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def to_v2(%V1{rating: rating, rating_deviation: rating_deviation}, volatility) do
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%V2{
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rating: scale_rating_to(rating, :v2),
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rating_deviation: scale_rating_deviation_to(rating_deviation, :v2),
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volatility: volatility
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}
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end
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def to_v2(%V2{} = player, _volatility) do
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player
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end
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@doc """
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A version agnostic method for getting a player's rating.
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"""
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@spec rating(player :: t, as_version :: version | nil) :: rating
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def rating(player, as_version \\ nil)
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def rating({rating, _}, nil), do: rating
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def rating({rating, _, _}, nil), do: rating
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def rating({rating, _}, :v1), do: rating
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def rating({rating, _}, :v2), do: rating |> scale_rating_to(:v2)
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def rating({rating, _, _}, :v1), do: rating |> scale_rating_to(:v1)
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def rating({rating, _, _}, :v2), do: rating
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def rating(%_{rating: rating}, nil), do: rating
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def rating(%V1{rating: rating}, :v1), do: rating
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def rating(%V2{rating: rating}, :v2), do: rating
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def rating(%V1{rating: rating}, :v2), do: rating |> scale_rating_to(:v2)
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def rating(%V2{rating: rating}, :v1), do: rating |> scale_rating_to(:v1)
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@doc """
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A version agnostic method for getting a player's rating deviation.
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"""
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@spec rating_deviation(player :: t, as_version :: version | nil) :: rating_deviation
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def rating_deviation(player, as_version \\ nil)
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def rating_deviation({_, rating_deviation}, nil), do: rating_deviation
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def rating_deviation({_, rating_deviation, _}, nil), do: rating_deviation
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def rating_deviation({_, rating_deviation}, :v1), do: rating_deviation
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def rating_deviation(%V1{rating_deviation: rating_deviation}, nil), do: rating_deviation
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def rating_deviation(%V2{rating_deviation: rating_deviation}, nil), do: rating_deviation
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def rating_deviation(%V1{rating_deviation: rating_deviation}, :v1), do: rating_deviation
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def rating_deviation(%V2{rating_deviation: rating_deviation}, :v2), do: rating_deviation
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def rating_deviation({_, rating_deviation}, :v2),
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def rating_deviation(%V1{rating_deviation: rating_deviation}, :v2),
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do: rating_deviation |> scale_rating_deviation_to(:v2)
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def rating_deviation({_, rating_deviation, _}, :v1),
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def rating_deviation(%V2{rating_deviation: rating_deviation}, :v1),
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do: rating_deviation |> scale_rating_deviation_to(:v1)
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def rating_deviation({_, rating_deviation, _}, :v2), do: rating_deviation
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@doc """
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A version agnostic method for getting a player's volatility.
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"""
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@spec volatility(player :: t, default_volatility :: volatility) :: volatility
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def volatility(player, default_volatility \\ initial_volatility())
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def volatility({_, _}, default_volatility), do: default_volatility
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def volatility({_, _, volatility}, _), do: volatility
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def volatility(%V1{}, default_volatility), do: default_volatility
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def volatility(%V2{volatility: volatility}, _), do: volatility
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@doc """
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A convenience function for summarizing a player's strength as a 95%
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@ -192,7 +199,8 @@ defmodule Glicko.Player do
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When a player has a low RD, the interval would be narrow, so that we would
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be 95% confident about a player’s strength being in a small interval of values.
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"""
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@spec rating_interval(player :: t, as_version :: version | nil) :: {rating_low :: float, rating_high :: float}
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@spec rating_interval(player :: t, as_version :: version | nil) ::
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{rating_low :: float, rating_high :: float}
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def rating_interval(player, as_version \\ nil) do
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{
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rating(player, as_version) - rating_deviation(player, as_version) * 2,
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@ -6,15 +6,19 @@ defmodule Glicko.Result do
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iex> opponent = Player.new_v2
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iex> Result.new(opponent, 1.0)
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{0.0, 2.014761872416068, 1.0}
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%Result{opponent_rating: 0.0, opponent_rating_deviation: 2.014761872416068, score: 1.0}
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iex> Result.new(opponent, :draw) # With shortcut
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{0.0, 2.014761872416068, 0.5}
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%Result{opponent_rating: 0.0, opponent_rating_deviation: 2.014761872416068, score: 0.5}
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"""
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alias Glicko.Player
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@type t :: {Player.rating(), Player.rating_deviation(), score}
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@type t :: %__MODULE__{
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opponent_rating: Player.rating(),
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opponent_rating_deviation: Player.rating_deviation(),
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score: score
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}
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@type score :: float
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@type score_shortcut :: :loss | :draw | :win
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@ -22,6 +26,8 @@ defmodule Glicko.Result do
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@score_shortcut_map %{loss: 0.0, draw: 0.5, win: 1.0}
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@score_shortcuts Map.keys(@score_shortcut_map)
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defstruct [:opponent_rating, :opponent_rating_deviation, :score]
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@doc """
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Creates a new result from an opponent rating, opponent rating deviation and score.
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@ -31,12 +37,17 @@ defmodule Glicko.Result do
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"""
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@spec new(Player.rating(), Player.rating_deviation(), score | score_shortcut) :: t
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def new(opponent_rating, opponent_rating_deviation, score) when is_number(score) do
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{opponent_rating, opponent_rating_deviation, score}
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%__MODULE__{
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opponent_rating: opponent_rating,
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opponent_rating_deviation: opponent_rating_deviation,
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score: score
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}
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end
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def new(opponent_rating, opponent_rating_deviation, score_type)
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when is_atom(score_type) and score_type in @score_shortcuts do
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{opponent_rating, opponent_rating_deviation, Map.fetch!(@score_shortcut_map, score_type)}
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score = Map.fetch!(@score_shortcut_map, score_type)
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new(opponent_rating, opponent_rating_deviation, score)
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end
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@doc """
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@ -53,17 +64,17 @@ defmodule Glicko.Result do
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Convenience function for accessing an opponent's rating.
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"""
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@spec opponent_rating(result :: t()) :: Player.rating()
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def opponent_rating(_result = {rating, _, _}), do: rating
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def opponent_rating(%__MODULE__{} = result), do: result.opponent_rating
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@doc """
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Convenience function for accessing an opponent's rating deviation.
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"""
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@spec opponent_rating_deviation(result :: t()) :: Player.rating_deviation()
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def opponent_rating_deviation(_result = {_, rating_deviation, _}), do: rating_deviation
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def opponent_rating_deviation(%__MODULE__{} = result), do: result.opponent_rating_deviation
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@doc """
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Convenience function for accessing the score.
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"""
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@spec score(result :: t()) :: score
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def score(_result = {_, _, score}), do: score
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def score(%__MODULE__{} = result), do: result.score
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end
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@ -5,8 +5,8 @@ defmodule Glicko.PlayerTest do
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doctest Player
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@valid_v1_base {1.0, 2.0}
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@valid_v2_base {1.0, 2.0, 3.0}
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@valid_v1_base %Player.V1{rating: 1.0, rating_deviation: 2.0}
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@valid_v2_base %Player.V2{rating: 1.0, rating_deviation: 2.0, volatility: 3.0}
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test "create v1" do
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assert @valid_v1_base == Player.new_v1(rating: 1.0, rating_deviation: 2.0)
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@ -17,13 +17,18 @@ defmodule Glicko.PlayerTest do
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end
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test "convert player v1 -> v2" do
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assert {Player.scale_rating_to(1.0, :v2), Player.scale_rating_deviation_to(2.0, :v2), 3.0} ==
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Player.to_v2(@valid_v1_base, 3.0)
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assert Player.new_v2(
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rating: Player.scale_rating_to(1.0, :v2),
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rating_deviation: Player.scale_rating_deviation_to(2.0, :v2),
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volatility: 3.0
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) == Player.to_v2(@valid_v1_base, 3.0)
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end
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test "convert player v2 -> v1" do
|
||||
assert {Player.scale_rating_to(1.0, :v1), Player.scale_rating_deviation_to(2.0, :v1)} ==
|
||||
Player.to_v1(@valid_v2_base)
|
||||
assert Player.new_v1(
|
||||
rating: Player.scale_rating_to(1.0, :v1),
|
||||
rating_deviation: Player.scale_rating_deviation_to(2.0, :v1)
|
||||
) == Player.to_v1(@valid_v2_base)
|
||||
end
|
||||
|
||||
test "convert player v1 -> v1" do
|
||||
|
Loading…
Reference in New Issue
Block a user