diff --git a/snippets/elo.md b/snippets/elo.md deleted file mode 100644 index d46e1fe6f..000000000 --- a/snippets/elo.md +++ /dev/null @@ -1,44 +0,0 @@ ---- -title: elo -tags: math,array,advanced ---- - -Computes the new ratings between two or more opponents using the [Elo rating system](https://en.wikipedia.org/wiki/Elo_rating_system). It takes an array -of pre-ratings and returns an array containing post-ratings. -The array should be ordered from best performer to worst performer (winner -> loser). - -- Use the exponent `**` operator and math operators to compute the expected score (chance of winning) of each opponent and compute the new rating for each. -- Loop through the ratings, using each permutation to compute the post-Elo rating for each player in a pairwise fashion. -- Omit the second argument to use the default `kFactor` of 32. - -```js -const elo = ([...ratings], kFactor = 32, selfRating) => { - const [a, b] = ratings; - const expectedScore = (self, opponent) => 1 / (1 + 10 ** ((opponent - self) / 400)); - const newRating = (rating, i) => - (selfRating || rating) + kFactor * (i - expectedScore(i ? a : b, i ? b : a)); - if (ratings.length === 2) return [newRating(a, 1), newRating(b, 0)]; - - for (let i = 0, len = ratings.length; i < len; i++) { - let j = i; - while (j < len - 1) { - j++; - [ratings[i], ratings[j]] = elo([ratings[i], ratings[j]], kFactor); - } - } - return ratings; -}; -``` - -```js -// Standard 1v1s -elo([1200, 1200]); // [1216, 1184] -elo([1200, 1200], 64); // [1232, 1168] -// 4 player FFA, all same rank -elo([1200, 1200, 1200, 1200]).map(Math.round); // [1246, 1215, 1185, 1154] -/* -For teams, each rating can adjusted based on own team's average rating vs. -average rating of opposing team, with the score being added to their -own individual rating by supplying it as the third argument. -*/ -```