Merge pull request #422 from atomiks/elo

[FEATURE] Elo rating system snippet

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]
+```