1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
# frozen_string_literal: true
# Port of https://github.com/philihp/openskill.js/blob/main/src/util.ts
module OpenSkill
module Util
#: (Integer q, Integer i) -> Float
def self.score(q, i)
case q <=> i
when -1 then 0.0
when 0 then 0.5
else 1.0
end
end
#: [T] (Array[T] ranks) -> Array[Array[T]]
def self.ladder_pairs(ranks)
return [[]] if ranks.length <= 1
[nil, *ranks, nil].each_cons(3).map { |l, _, r| [l, r].compact }
end
#: (Array[TeamRating] team_ratings, Float beta_sq) -> Float
def self.util_c(team_ratings, beta_sq)
Math.sqrt(team_ratings.sum { |tr| tr.sigma_sq + beta_sq })
end
#: (Array[TeamRating] team_ratings, Float c) -> Array[Float]
def self.util_sum_q(team_ratings, c)
team_ratings.map { |qr|
team_ratings
.select { |ir| ir.rank >= qr.rank }
.sum { |ir| Math.exp(ir.mu / c) }
}
end
#: (Array[TeamRating] team_ratings) -> Array[Integer]
def self.util_a(team_ratings)
team_ratings.map { |ir| team_ratings.count { |qr| ir.rank == qr.rank } }
end
#: (number c, Integer _k, TeamRating tr) -> Float
def self.gamma(c, _k, tr)
Math.sqrt(tr.sigma_sq) / c
end
end
end