90 lines
3.7 KiB
CoffeeScript
90 lines
3.7 KiB
CoffeeScript
require './helpers'
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glicko2 = require '../server/glicko2'
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describe "Glicko2", ->
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beforeEach ->
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@__tau = glicko2.config.TAU
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glicko2.config.TAU = 0.5
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@p1 = {rating: 1500, deviation: 200, volatility: 0.06}
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@p2 = {rating: 1400, deviation: 30}
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@p3 = {rating: 1550, deviation: 100}
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@p4 = {rating: 1700, deviation: 300}
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@matches = [
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{opponent: @p2, score: 1}
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{opponent: @p3, score: 0}
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{opponent: @p4, score: 0}
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]
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@opponents = @matches.map((m) -> m.opponent)
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@scores = @matches.map((m) -> m.score)
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afterEach ->
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glicko2.config.TAU = @__tau
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describe "#ratingFromGlicko", ->
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it "transforms ratings to Glicko2 from Glicko", ->
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glicko2.ratingFromGlicko(@p1.rating).should.equal(0)
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glicko2.ratingFromGlicko(@p2.rating).should.equal(-0.57746122636595565791)
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glicko2.ratingFromGlicko(@p3.rating).should.equal(0.2887306131829778)
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glicko2.ratingFromGlicko(@p4.rating).should.equal(1.1549224527319113)
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describe "#deviationFromGlicko", ->
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it "transforms deviations to Glicko2 from Glicko", ->
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glicko2.deviationFromGlicko(@p1.deviation).should.equal(1.1549224527319113)
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glicko2.deviationFromGlicko(@p2.deviation).should.equal(0.1732383679097867)
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glicko2.deviationFromGlicko(@p3.deviation).should.equal(0.5774612263659556)
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glicko2.deviationFromGlicko(@p4.deviation).should.equal(1.732383679097867)
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describe "#g", ->
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it "applies a function to a deviation", ->
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dfg = glicko2.deviationFromGlicko
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glicko2.g(dfg(@p2.deviation)).should.equal(0.9954697656070619)
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glicko2.g(dfg(@p3.deviation)).should.equal(0.9528736649355471)
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glicko2.g(dfg(@p4.deviation)).should.equal(0.7231504586157951)
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describe "#E", ->
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it "applies a function to a deviation", ->
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rfg = glicko2.ratingFromGlicko
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dfg = glicko2.deviationFromGlicko
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glicko2.E(rfg(@p1.rating), rfg(@p2.rating), dfg(@p2.deviation)).should.equal(0.6398804244872593)
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glicko2.E(rfg(@p1.rating), rfg(@p3.rating), dfg(@p3.deviation)).should.equal(0.431649645227976)
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glicko2.E(rfg(@p1.rating), rfg(@p4.rating), dfg(@p4.deviation)).should.equal(0.30255033173677587)
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describe "calculations", ->
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beforeEach ->
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rfg = glicko2.ratingFromGlicko
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dfg = glicko2.deviationFromGlicko
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@gPlayers = []
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@ePlayers = []
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for opponent in @opponents
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@gPlayers.push glicko2.g(dfg(opponent.deviation))
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@ePlayers.push glicko2.E(rfg(@p1.rating), rfg(opponent.rating), dfg(opponent.deviation))
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describe "#calculateEstimatedVariance", ->
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it "estimates variance based on the g and E factors of opponents", ->
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estimatedVariance = glicko2.calculateEstimatedVariance(@gPlayers, @ePlayers)
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estimatedVariance.should.equal(1.7811042373512078)
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describe "#calculateImprovementSum", ->
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it "sums up improvements", ->
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improvementSum = glicko2.calculateImprovementSum(@gPlayers, @ePlayers, @scores)
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improvementSum.should.equal(-0.27160884114013806)
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describe "#calculateNewVolatility", ->
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it "creates a new volatility", ->
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estimatedVariance = glicko2.calculateEstimatedVariance(@gPlayers, @ePlayers)
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improvementSum = glicko2.calculateImprovementSum(@gPlayers, @ePlayers, @scores)
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glicko2.calculateNewVolatility(improvementSum,
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glicko2.deviationFromGlicko(@p1.deviation),
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estimatedVariance,
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@p1.volatility,
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glicko2.config.TAU).should.equal(0.059995996477963935)
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describe "#calculate", ->
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it "combines all the previous steps together correctly", ->
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{rating, deviation, volatility} = glicko2.calculate(@p1, @matches)
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rating.should.equal(1464.0719365246412)
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deviation.should.equal(151.3503881127135)
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volatility.should.equal(0.059995996477963935)
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