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MISC: Improve rep calculation accuracy (#1559)

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David Walker 2024-08-09 16:26:01 -07:00 committed by GitHub
parent 93eb9b0cef
commit ff80847af6
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1 changed files with 7 additions and 2 deletions
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9
src/Faction/formulas/favor.ts
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@ -5,13 +5,18 @@
import { clampNumber } from "../../utils/helpers/clampNumber";
export const MaxFavor = 35331;
// This is the nearest representable value of log(1.02), which is the base of our power.
// It is *not* the same as Math.log(1.02), since "1.02" lacks sufficient precision.
const log1point02 = 0.019802627296179712;
export function favorToRep(f: number): number {
return clampNumber(25000 * (Math.pow(1.02, f) - 1), 0);
// expm1 is e^x - 1, which is more accurate for small x than doing it the obvious way.
return clampNumber(25000 * Math.expm1(log1point02 * f), 0);
}
export function repToFavor(r: number): number {
return clampNumber(Math.log(r / 25000 + 1) / Math.log(1.02), 0, MaxFavor);
// log1p is log(x + 1), which is more accurate for small x than doing it the obvious way.
return clampNumber(Math.log1p(r / 25000) / log1point02, 0, MaxFavor);
}
export function calculateFavorAfterResetting(favor: number, playerReputation: number) {