98 lines
2.3 KiB
TypeScript
98 lines
2.3 KiB
TypeScript
import * as _ from 'lodash'
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import { Bet } from './bet'
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import { Binary, CPMM, FullContract } from './contract'
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export function getCpmmProbability(pool: { [outcome: string]: number }) {
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// For binary contracts only.
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const { YES, NO } = pool
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return NO / (YES + NO)
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}
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export function getCpmmOutcomeProbabilityAfterBet(
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contract: FullContract<CPMM, Binary>,
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outcome: string,
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bet: number
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) {
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const { newPool } = calculateCpmmPurchase(contract, bet, outcome)
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const p = getCpmmProbability(newPool)
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return outcome === 'NO' ? 1 - p : p
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}
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export function calculateCpmmShares(
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pool: {
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[outcome: string]: number
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},
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k: number,
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bet: number,
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betChoice: string
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) {
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const { YES: y, NO: n } = pool
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const numerator = bet ** 2 + bet * (y + n) - k + y * n
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const denominator = betChoice === 'YES' ? bet + n : bet + y
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const shares = numerator / denominator
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return shares
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}
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export function calculateCpmmPurchase(
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contract: FullContract<CPMM, Binary>,
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bet: number,
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outcome: string
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) {
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const { pool, k } = contract
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const shares = calculateCpmmShares(pool, k, bet, outcome)
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const { YES: y, NO: n } = pool
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const [newY, newN] =
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outcome === 'YES'
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? [y - shares + bet, n + bet]
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: [y + bet, n - shares + bet]
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const newPool = { YES: newY, NO: newN }
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return { shares, newPool }
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}
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export function calculateCpmmShareValue(
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contract: FullContract<CPMM, Binary>,
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shares: number,
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outcome: string
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) {
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const { pool, k } = contract
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const { YES: y, NO: n } = pool
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const poolChange = outcome === 'YES' ? shares + y - n : shares + n - y
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const shareValue = 0.5 * (shares + y + n - Math.sqrt(4 * k + poolChange ** 2))
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return shareValue
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}
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export function calculateCpmmSale(
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contract: FullContract<CPMM, Binary>,
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bet: Bet
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) {
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const { shares, outcome } = bet
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const saleValue = calculateCpmmShareValue(contract, shares, outcome)
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const { pool } = contract
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const { YES: y, NO: n } = pool
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const [newY, newN] =
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outcome === 'YES'
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? [y + shares - saleValue, n - saleValue]
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: [y - saleValue, n + shares - saleValue]
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const newPool = { YES: newY, NO: newN }
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return { saleValue, newPool }
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}
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export function getCpmmProbabilityAfterSale(
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contract: FullContract<CPMM, Binary>,
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bet: Bet
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) {
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const { newPool } = calculateCpmmSale(contract, bet)
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return getCpmmProbability(newPool)
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}
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