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Define constants for Glicko ratings
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Guangcong Luo 2025-05-03 20:47:31 -07:00
parent 001ef86597
commit 15666f8711
1 changed files with 17 additions and 14 deletions
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31
src/ladder.ts
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@ -8,13 +8,20 @@
import { toID, time } from './utils'; import { toID, time } from './utils';
import { ladder } from './tables'; import { ladder } from './tables';
/** length of a rating period in days */ /** length of a rating period in days (used for Glicko and Elo decay).
* Glickman recommends 5-10 games per rating period */
const RP_LENGTH_DAYS = 1; const RP_LENGTH_DAYS = 1;
/** length of a rating period in seconds */ /** length of a rating period in seconds */
const RP_LENGTH = 24 * 60 * 60 * RP_LENGTH_DAYS; const RP_LENGTH = 24 * 60 * 60 * RP_LENGTH_DAYS;
/** time in UTC rating periods roll over, in seconds (9am UTC, or 4am Chicago Time) */ /** time in UTC rating periods roll over, in seconds (9am UTC, or 4am Chicago Time) */
const RP_OFFSET = 9 * 60 * 60; const RP_OFFSET = 9 * 60 * 60;
const GLICKO_RD_MAX = 130.0;
const GLICKO_RD_MIN = 25.0;
// this solves for going from min RD to max RD in 365 days
const GLICKO_C = Math.sqrt((GLICKO_RD_MAX ** 2 - GLICKO_RD_MIN ** 2) / (365.0 / RP_LENGTH_DAYS));
export interface LadderEntry { export interface LadderEntry {
entryid: number; entryid: number;
formatid: string; formatid: string;
@ -362,9 +369,6 @@ export class GlickoPlayer {
rd: number; rd: number;
readonly piSquared = Math.PI ** 2; readonly piSquared = Math.PI ** 2;
readonly RDmax = 130.0;
readonly RDmin = 25.0;
c: number;
readonly q = 0.00575646273; readonly q = 0.00575646273;
m: MatchElement[] = []; m: MatchElement[] = [];
@ -372,7 +376,6 @@ export class GlickoPlayer {
// Step 1 // Step 1
this.rating = rating; this.rating = rating;
this.rd = rd; this.rd = rd;
this.c = Math.sqrt((this.RDmax * this.RDmax - this.RDmin * this.RDmin) / (365.0 / RP_LENGTH_DAYS));
} }
addWin(otherPlayer: GlickoPlayer) { addWin(otherPlayer: GlickoPlayer) {
@ -407,9 +410,9 @@ export class GlickoPlayer {
// Follow along the steps using: http://www.glicko.net/glicko/glicko.pdf // Follow along the steps using: http://www.glicko.net/glicko/glicko.pdf
let RD = Math.sqrt((this.rd * this.rd) + (this.c * this.c)); let RD = Math.sqrt((this.rd ** 2) + (GLICKO_C ** 2));
if (RD > this.RDmax) { if (RD > GLICKO_RD_MAX) {
RD = this.RDmax; RD = GLICKO_RD_MAX;
} }
if (m.length === 0) { if (m.length === 0) {
return { R: this.rating, RD }; return { R: this.rating, RD };
@ -429,21 +432,21 @@ export class GlickoPlayer {
d2 = 1.0 / this.q / this.q / d2; d2 = 1.0 / this.q / this.q / d2;
RD = 1.0 / Math.sqrt(1.0 / (RD * RD) + 1.0 / d2); RD = 1.0 / Math.sqrt(1.0 / (RD * RD) + 1.0 / d2);
const R = this.rating + this.q * (RD * RD) * A; const R = this.rating + this.q * (RD ** 2) * A;
if (RD > this.RDmax) { if (RD > GLICKO_RD_MAX) {
RD = this.RDmax; RD = GLICKO_RD_MAX;
} }
if (RD < this.RDmin) { if (RD < GLICKO_RD_MIN) {
RD = this.RDmin; RD = GLICKO_RD_MIN;
} }
return { R, RD }; return { R, RD };
} }
g(RD: number) { g(RD: number) {
return 1.0 / Math.sqrt(1.0 + 3.0 * this.q * this.q * RD * RD / this.piSquared); return 1.0 / Math.sqrt(1.0 + 3.0 * (this.q ** 2) * (RD ** 2) / this.piSquared);
} }
E(R: number, rJ: number, rdJ: number) { E(R: number, rJ: number, rdJ: number) {