Files
decision/frontend/app/utils/threshold.ts
Yvv 25437f24e3 Sprint 1 : scaffolding complet de Glibredecision
Plateforme de decisions collectives pour Duniter/G1.
Backend FastAPI async + PostgreSQL (14 tables, 8 routers, 6 services,
moteur de vote avec formule d'inertie WoT/Smith/TechComm).
Frontend Nuxt 4 + Nuxt UI v3 + Pinia (9 pages, 5 stores).
Infrastructure Docker + Woodpecker CI + Traefik.
Documentation technique et utilisateur (15 fichiers).
Seed : Licence G1, Engagement Forgeron v2.0.0, 4 protocoles de vote.
30 tests unitaires (formules, mode params, vote nuance) -- tous verts.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
2026-02-28 12:46:11 +01:00

85 lines
2.5 KiB
TypeScript

/**
* TypeScript mirror of the Python WoT threshold formula.
*
* Core formula:
* Result = C + B^W + (M + (1-M) * (1 - (T/W)^G)) * max(0, T - C)
*
* Where:
* C = constant_base
* B = base_exponent
* W = wot_size (corpus of eligible voters)
* T = total_votes (for + against)
* M = majority_ratio (majority_pct / 100)
* G = gradient_exponent
*
* Inertia behaviour:
* - Low participation (T << W) -> near-unanimity required
* - High participation (T -> W) -> simple majority M suffices
*
* Reference test case:
* wot_size=7224, votes_for=97, votes_against=23 (total=120)
* params M50 B.1 G.2 => threshold=94, adopted (97 >= 94)
*/
export function wotThreshold(
wotSize: number,
totalVotes: number,
majorityPct: number = 50,
baseExponent: number = 0.1,
gradientExponent: number = 0.2,
constantBase: number = 0.0,
): number {
if (wotSize <= 0) {
throw new Error('wotSize doit etre strictement positif')
}
if (totalVotes < 0) {
throw new Error('totalVotes ne peut pas etre negatif')
}
if (majorityPct < 0 || majorityPct > 100) {
throw new Error('majorityPct doit etre entre 0 et 100')
}
const M = majorityPct / 100
const T = totalVotes
const W = wotSize
const C = constantBase
const B = baseExponent
const G = gradientExponent
// Guard: if no votes, threshold is at least ceil(C + B^W)
if (T === 0) {
return Math.ceil(C + Math.pow(B, W))
}
// Core formula
const participationRatio = T / W
const inertiaFactor = 1.0 - Math.pow(participationRatio, G)
const requiredRatio = M + (1.0 - M) * inertiaFactor
const result = C + Math.pow(B, W) + requiredRatio * Math.max(0, T - C)
return Math.ceil(result)
}
/**
* Compute the Smith criterion threshold.
*
* @param smithWotSize - Number of Smith members
* @param smithExponent - Exponent S for the Smith criterion
* @returns Minimum number of Smith votes required
*/
export function smithThreshold(smithWotSize: number, smithExponent: number): number {
if (smithWotSize <= 0) return 0
return Math.ceil(Math.pow(smithWotSize, smithExponent))
}
/**
* Compute the TechComm criterion threshold.
*
* @param techcommSize - Number of TechComm members
* @param techcommExponent - Exponent T for the TechComm criterion
* @returns Minimum number of TechComm votes required
*/
export function techcommThreshold(techcommSize: number, techcommExponent: number): number {
if (techcommSize <= 0) return 0
return Math.ceil(Math.pow(techcommSize, techcommExponent))
}