diff --git a/snippets/elo.md b/snippets/elo.md new file mode 100644 index 000000000..671d1ccea --- /dev/null +++ b/snippets/elo.md @@ -0,0 +1,24 @@ +### elo + +Computes the new ratings between two opponents using the [Elo rating system](https://en.wikipedia.org/wiki/Elo_rating_system). It takes an array +of two pre-ratings and returns an array containing two post-ratings. +The winner's rating is the first element of the array. + +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. Omit the second argument to use the default +K-factor of 32, or supply a custom K-factor value. + +```js +const elo = ([a, b], kFactor = 32) => { + const expectedScore = (self, opponent) => 1 / (1 + 10 ** ((opponent - self) / 400)); + const newRating = (rating, i) => rating + kFactor * (i - expectedScore(i ? a : b, i ? b : a)); + return [newRating(a, 1), newRating(b, 0)]; +}; +``` + +```js +elo([1200, 1200]); // [1216, 1184] +elo([1000, 2000]); // [1031.8991261061358, 1968.1008738938642] +elo([1500, 1000]); // [1501.7036868864648, 998.2963131135352] +elo([1200, 1200], 64); // [1232, 1168] +``` diff --git a/tag_database b/tag_database index 1e9a4367c..708f71b32 100644 --- a/tag_database +++ b/tag_database @@ -31,6 +31,7 @@ distinctValuesOfArray:array dropElements:array dropRight:array elementIsVisibleInViewport:browser +elo:math escapeHTML:string escapeRegExp:string everyNth:array