@ -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.
|
||||
*/
|
||||
```
|
||||
Reference in New Issue
Block a user