From 26cbfabc76b613094fa55fa2b8b06c59654b3c4c Mon Sep 17 00:00:00 2001 From: Alex Angel Date: Wed, 14 Jul 2021 08:38:01 -0700 Subject: [PATCH 1/8] feat(marginalPrices): adds marginal price fn calcs in Pool.ts --- test/shared/sdk/entities/Arb.ts | 5 ++++ test/shared/sdk/entities/Pool.ts | 46 ++++++++++++++++++++++++++++++++ 2 files changed, 51 insertions(+) create mode 100644 test/shared/sdk/entities/Arb.ts diff --git a/test/shared/sdk/entities/Arb.ts b/test/shared/sdk/entities/Arb.ts new file mode 100644 index 00000000..be8024be --- /dev/null +++ b/test/shared/sdk/entities/Arb.ts @@ -0,0 +1,5 @@ +import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' + +export const quantilePrime = (x) => { + return Math.pow(std_n_cdf(inverse_std_n_cdf(x)), -1) +} diff --git a/test/shared/sdk/entities/Pool.ts b/test/shared/sdk/entities/Pool.ts index 0a3fbeaf..56b9e9e4 100644 --- a/test/shared/sdk/entities/Pool.ts +++ b/test/shared/sdk/entities/Pool.ts @@ -2,6 +2,8 @@ import numeric from 'numeric' import { Engine, SwapReturn } from './Engine' import { getInverseTradingFunction, getTradingFunction, calcInvariant } from '../../ReplicationMath' import { Integer64x64, Percentage, Time, Wei, parseWei, parseInt64x64 } from 'web3-units' +import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' +import { quantilePrime } from './Arb' /** * @notice Typescript representation of an individual Pool in an Engine @@ -208,4 +210,48 @@ export class Pool { //console.log({ spot }, [x[0].float, x[1].float], spot[0] / spot[1]) return parseWei(spot[0] / spot[1]) } + + /** + * @notice See https://arxiv.org/pdf/2012.08040.pdf + * @param amountIn Amount of risky token to add to risky reserve + * @return Marginal price after a trade with size `amountIn` with the current reserves. + */ + getMarginalPriceSwapRiskyIn(amountIn) { + const gamma = 1 - this.entity.fee + const reserveRisky = this.reserveRisky.float / this.liquidity.float + const invariant = this.invariant + const strike = this.strike + const sigma = this.sigma + const tau = this.tau + return ( + gamma * + strike.float * + std_n_cdf(inverse_std_n_cdf(1 - reserveRisky - gamma * amountIn) - sigma.float * Math.sqrt(tau.years)) * + quantilePrime(1 - reserveRisky - gamma * amountIn) + ) + } + + /** + * @notice See https://arxiv.org/pdf/2012.08040.pdf + * @param amountIn Amount of stable token to add to stable reserve + * @return Marginal price after a trade with size `amountIn` with the current reserves. + */ + getMarginalPriceSwapStableIn(amountIn) { + const gamma = 1 - this.entity.fee + const reserveStable = this.reserveStable.float / this.liquidity.float + const invariant = this.invariant + const strike = this.strike + const sigma = this.sigma + const tau = this.tau + return ( + 1 / + (gamma * + std_n_cdf( + inverse_std_n_cdf((reserveStable + gamma * amountIn - invariant.parsed) / strike.float) + + sigma.float * Math.sqrt(tau.years) + ) * + quantilePrime((reserveStable + gamma * amountIn - invariant.parsed) / strike.float) * + (1 / strike.float)) + ) + } } From cbb7ea90caac159324235225585bc5cf6ebc0b7f Mon Sep 17 00:00:00 2001 From: Alex Angel Date: Wed, 14 Jul 2021 11:28:57 -0700 Subject: [PATCH 2/8] feat(simulation.ts): adds simulation runner script --- simulationData.json | 160 +++++++++++++++++++++++++ test/shared/sdk/entities/Arb.ts | 92 ++++++++++++++ test/shared/sdk/entities/Engine.ts | 7 +- test/shared/sdk/entities/Pool.ts | 24 +++- test/shared/sdk/entities/Simulation.ts | 149 +++++++++++++++++++++++ test/shared/sdk/generateGBM.ts | 5 + 6 files changed, 432 insertions(+), 5 deletions(-) create mode 100644 simulationData.json create mode 100644 test/shared/sdk/entities/Simulation.ts create mode 100644 test/shared/sdk/generateGBM.ts diff --git a/simulationData.json b/simulationData.json new file mode 100644 index 00000000..38dadeca --- /dev/null +++ b/simulationData.json @@ -0,0 +1,160 @@ +{ + "0": { + "0": [ + [], + [], + [], + [], + [] + ], + "1": [ + [], + [], + [], + [], + [] + ], + "2": [ + [], + [], + [], + [], + [] + ], + "3": [ + [], + [], + [], + [], + [] + ], + "4": [ + [], + [], + [], + [], + [] + ], + "5": [ + [], + [], + [], + [], + [] + ], + "6": [ + [], + [], + [], + [], + [] + ], + "7": [ + [], + [], + [], + [], + [] + ], + "8": [ + [], + [], + [], + [], + [] + ], + "9": [ + [], + [], + [], + [], + [] + ], + "10": [ + [], + [], + [], + [], + [] + ] + }, + "5": { + "0": [ + [], + [], + [], + [], + [] + ], + "0.005": [ + [], + [], + [], + [], + [] + ], + "0.01": [ + [], + [], + [], + [], + [] + ], + "0.015": [ + [], + [], + [], + [], + [] + ], + "0.02": [ + [], + [], + [], + [], + [] + ], + "0.025": [ + [], + [], + [], + [], + [] + ], + "0.03": [ + [], + [], + [], + [], + [] + ], + "0.035": [ + [], + [], + [], + [], + [] + ], + "0.04": [ + [], + [], + [], + [], + [] + ], + "0.045": [ + [], + [], + [], + [], + [] + ], + "0.05": [ + [], + [], + [], + [], + [] + ] + } +} \ No newline at end of file diff --git a/test/shared/sdk/entities/Arb.ts b/test/shared/sdk/entities/Arb.ts index be8024be..7d5e593b 100644 --- a/test/shared/sdk/entities/Arb.ts +++ b/test/shared/sdk/entities/Arb.ts @@ -1,5 +1,97 @@ +import { parseWei, Wei } from 'web3-units' import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' +import { Pool } from './Pool' export const quantilePrime = (x) => { return Math.pow(std_n_cdf(inverse_std_n_cdf(x)), -1) } + +export const EPSILON = 1e-3 + +// JavaScript program for implementation +// of Bisection Method for +// solving equations + +// Prints root of func(x) with error of EPSILON +function bisection(func, a, b) { + if (func(a) * func(b) >= 0) { + console.log('\n You have not assumed' + ' right a and b') + return + } + + let c = a + while (b - a >= EPSILON) { + // Find middle point + c = (a + b) / 2 + + // Check if middle point is root + if (func(c) == 0.0) break + // Decide the side to repeat the steps + else if (func(c) * func(a) < 0) b = c + else a = c + } + //prints value of c upto 4 decimal places + console.log('\n The value of ' + 'root is : ' + c.toFixed(4)) + return c +} + +// This code is contributed by susmitakundugoaldanga. + +/** + * @notice Represents an agent that will look a reference price of the risky asset, denominated in the stable asset, + * then looks at the reference price in the AMM pool, and will arbitrage any difference. + */ +export class Arbitrageur { + public readonly optimalAmount: number + + constructor() { + this.optimalAmount = 1e-8 + } + + arbitrageExactly(spot: Wei, pool: Pool) { + const gamma = 1 - pool.entity.fee + const [R1, R2, invariant, strike, sigma, tau] = [ + pool.reserveRisky.float / pool.liquidity.float, + pool.reserveStable.float / pool.liquidity.float, + pool.invariant, + pool.strike, + pool.sigma, + pool.tau, + ] + + // Marginal price of selling epsilon risky + const sellPriceRisky = pool.getMarginalPriceSwapRiskyIn(0) + + // Marginal price of buying epsilon risky + const buyPriceRisky = pool.getMarginalPriceSwapStableIn(0) + + console.log(`\n Sell price of risky: ${sellPriceRisky}`) + console.log(` Buy price risky: ${buyPriceRisky}`) + + if (sellPriceRisky > spot.float + this.optimalAmount) { + const func = (amountIn) => { + return pool.getMarginalPriceSwapRiskyIn(amountIn) - spot.float + } + + const optimalTrade = parseWei(bisection(func, 0, 1 - R1 - EPSILON)) // bisect + + const { deltaOut } = pool.virtualSwapAmountInRisky(optimalTrade) + const profit = deltaOut.sub(optimalTrade.mul(spot.float)) + + console.log(`\n Sell profit: ${profit.float}`) + + pool.swapAmountInRisky(optimalTrade) // do the arbitrage + } else if (buyPriceRisky < spot.float - this.optimalAmount) { + const func = (amountIn) => { + return spot.float - pool.getMarginalPriceSwapStableIn(amountIn) + } + + const optimalTrade = parseWei(bisection(func, 0, strike.float - R2 - EPSILON)) //bisect func + + const { deltaOut } = pool.virtualSwapAmountInStable(optimalTrade) + const profit = optimalTrade.mul(spot.float).sub(deltaOut) + console.log(`\n Buy profit: ${profit.float}`) + pool.swapAmountInStable(optimalTrade) // do the arbitrage + } + } +} diff --git a/test/shared/sdk/entities/Engine.ts b/test/shared/sdk/entities/Engine.ts index 7e4fed1c..44e53c83 100644 --- a/test/shared/sdk/entities/Engine.ts +++ b/test/shared/sdk/entities/Engine.ts @@ -1,4 +1,4 @@ -import { utils } from 'ethers' +import { constants, utils } from 'ethers' import { BytesLike } from '@ethersproject/bytes' /// SDK Imports import { Pool, Token } from '../entities' @@ -13,6 +13,11 @@ export interface SwapReturn { effectivePriceOutStable?: Wei } +export const DefaultTokens = { + risky: new Token(1337, constants.AddressZero, 18, 'RISKY', 'RISKY'), + stable: new Token(1337, constants.AddressZero, 18, 'STABLE', 'STABLE'), +} + // ===== Engine Class ===== /** diff --git a/test/shared/sdk/entities/Pool.ts b/test/shared/sdk/entities/Pool.ts index 56b9e9e4..6bd04c0f 100644 --- a/test/shared/sdk/entities/Pool.ts +++ b/test/shared/sdk/entities/Pool.ts @@ -5,6 +5,18 @@ import { Integer64x64, Percentage, Time, Wei, parseWei, parseInt64x64 } from 'we import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' import { quantilePrime } from './Arb' +export const clonePool = (poolToClone: Pool, newRisky: Wei, newStable: Wei): Pool => { + return new Pool( + poolToClone.entity, + newRisky, + newStable, + poolToClone.strike, + poolToClone.sigma, + poolToClone.maturity, + poolToClone.lastTimestamp + ) +} + /** * @notice Typescript representation of an individual Pool in an Engine */ @@ -154,7 +166,7 @@ export class Pool { const effectivePriceOutStable = deltaOut.div(deltaIn) return { deltaOut, - pool: this, + pool: clonePool(this, newReserveRisky, newReserveStable), effectivePriceOutStable: effectivePriceOutStable, } } @@ -197,14 +209,18 @@ export class Pool { const effectivePriceOutStable = deltaIn.div(deltaOut) return { deltaOut, - pool: this, + pool: clonePool(this, newReserveRisky, newReserveStable), effectivePriceOutStable: effectivePriceOutStable, } } getSpotPrice(): Wei { - const fn = function (this, x: number[]) { - return calcInvariant(x[0], x[1], this.liquidity.float, this.strike.float, this.sigma.float, this.tau.years) + const liquidity = this.liquidity.float + const strike = this.strike.float + const sigma = this.sigma.float + const tau = this.tau.years + const fn = function (x: number[]) { + return calcInvariant(x[0], x[1], liquidity, strike, sigma, tau) } const spot = numeric.gradient(fn, [this.reserveRisky.float, this.reserveStable.float]) //console.log({ spot }, [x[0].float, x[1].float], spot[0] / spot[1]) diff --git a/test/shared/sdk/entities/Simulation.ts b/test/shared/sdk/entities/Simulation.ts new file mode 100644 index 00000000..8617c496 --- /dev/null +++ b/test/shared/sdk/entities/Simulation.ts @@ -0,0 +1,149 @@ +import { Pool } from './Pool' +import { Arbitrageur } from './Arb' +import { parseWei, Percentage, Time, toBN, Wei } from 'web3-units' +import { constants, Contract } from 'ethers' +import { GBM } from '../generateGBM' +import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' +import { callDelta } from '../../BlackScholes' +import { getTradingFunction } from '../../ReplicationMath' +import { DefaultTokens, Engine } from './Engine' +import { Token } from './Token' +import fs from 'fs' + +const EPSILON = 1e-8 + +interface Config { + strike: Wei + sigma: Percentage + maturity: Time + lastTimestamp: Time +} + +const config: Config = { + strike: parseWei(1100), + sigma: new Percentage(toBN(Percentage.Mantissa * 1)), // 100% + maturity: new Time(Time.YearInSeconds * 1), // 1 year + lastTimestamp: new Time(0), +} + +export function getRiskyReservesGivenSpotPrice(S, K, sigma, tau) { + const delta = callDelta(K, sigma, tau, S) + return 1 - delta +} + +export function getStableGivenRisky(risky, K, sigma, tau) { + if (risky == 0) return K + else if (risky == 1) return 0 + return getTradingFunction(0, risky, 1, K, sigma, tau) +} + +const fees = [0, 0.005, 0.01, 0.015, 0.02, 0.025, 0.03, 0.035, 0.04, 0.045, 0.05] + +const seeds = [5] + +async function main() { + for (const s of seeds) { + for (const fee of fees) { + const gammaStr = (1 - fee).toString() + const engine: Engine = new Engine(DefaultTokens.risky, DefaultTokens.stable, fee) + const pool: Pool = new Pool( + engine, + parseWei(0.5), + parseWei(1), + config.strike, + config.sigma, + config.maturity, + config.lastTimestamp + ) + const arbitrageur: Arbitrageur = new Arbitrageur() + const mu = 0.00003 + const T: Time = pool.tau + const sigma: number = config.sigma.float / Math.sqrt(T.years) + const spot: Wei = parseWei(1000) + const dt = 1 + const gbm: any[] = GBM(spot.float, mu, sigma, T.years, dt * 365, true) + const [t, S] = gbm + const length = gbm.length + let constantPrice: number[] = [] + for (let i = 0; i < length; i++) { + constantPrice.push(spot.float) + } + + let spotPriceArray: number[] = [] + let minMarginalPriceArray: number[] = [] + let maxMarginalPriceArray: number[] = [] + let theoreticalLpArray: number[] = [] + let effectiveLpArray: number[] = [] + + for (let i = 0; i < length; i++) { + let day = i + let theoreticalTau = pool.tau.years - day / 365 + let dtau = 1 + let spot = gbm[i] + if (i % dtau == 0) { + pool.tau = new Time((pool.tau.years - day / 365) * Time.YearInSeconds) + } + + console.log(theoreticalTau) + + if (pool.tau.years > 0.05) { + arbitrageur.arbitrageExactly(parseWei(spot), pool) + let theoreticalRisky = getRiskyReservesGivenSpotPrice(spot, pool.strike.float, pool.sigma.float, theoreticalTau) + let theoreticalStable = getStableGivenRisky(theoreticalRisky, pool.strike.float, pool.sigma.float, theoreticalTau) + if (spot > 2300 && spot < 2350) { + } + + let theoreticalLpValue = theoreticalRisky * spot + theoreticalStable + theoreticalLpArray.push(theoreticalLpValue) + effectiveLpArray.push(pool.reserveRisky.float * spot + pool.reserveStable.float) + console.log('getting spot price', pool.liquidity) + spotPriceArray.push(pool.getSpotPrice().float) + //let { effectivePriceOutStable } = pool.virtualSwapAmountInRisky(parseWei(EPSILON)) + //minMarginalPriceArray.push(effectivePriceOutStable?.float) + //;({ effectivePriceOutStable } = pool.virtualSwapAmountInStable(parseWei(EPSILON))) + //maxMarginalPriceArray.push(effectivePriceOutStable?.float) + maxMarginalPriceArray.push(pool.getMarginalPriceSwapStableIn(0)) + minMarginalPriceArray.push(pool.getMarginalPriceSwapRiskyIn(0)) + } + } + + const arrays = [theoreticalLpArray, effectiveLpArray, spotPriceArray, minMarginalPriceArray, maxMarginalPriceArray] + console.log(`\n Arrays:`) + console.log(arrays) + await updateLog(+s, +fee, arrays) + } + } +} + +export async function updateLog(seed: number, fee: number, arrays: any[]) { + try { + const logRaw = await fs.promises.readFile('./simulationData.json', { + encoding: 'utf-8', + flag: 'a+', + }) + let log + + if (logRaw.length === 0) { + log = {} + } else { + log = JSON.parse(logRaw) + } + + if (!log[seed]) { + log[seed] = {} + } + + log[seed][fee] = arrays + + await fs.promises.writeFile('./simulationData.json', JSON.stringify(log, null, 2)) + } catch (e) { + console.error(e) + } +} + +main() + .then(() => process.exit(0)) + .catch((error) => { + console.error(error) + process.exit(1) + }) diff --git a/test/shared/sdk/generateGBM.ts b/test/shared/sdk/generateGBM.ts new file mode 100644 index 00000000..7bcee4ad --- /dev/null +++ b/test/shared/sdk/generateGBM.ts @@ -0,0 +1,5 @@ +import stoch from 'stochastic' + +export function GBM(S0, mu, sigma, T, steps, path) { + return stoch.GBM(S0, mu, sigma, T, steps, path) +} From 935e16ea44afd1cb426c5429d2b399af0f48d931 Mon Sep 17 00:00:00 2001 From: Alex Angel Date: Wed, 14 Jul 2021 11:59:14 -0700 Subject: [PATCH 3/8] fix(update-sim): updates sim and arb code to latest rmms-py branch --- test/shared/sdk/entities/Arb.ts | 48 +++++++++++++++++++------- test/shared/sdk/entities/Pool.ts | 1 + test/shared/sdk/entities/Simulation.ts | 31 ++++++++--------- 3 files changed, 51 insertions(+), 29 deletions(-) diff --git a/test/shared/sdk/entities/Arb.ts b/test/shared/sdk/entities/Arb.ts index 7d5e593b..16b6e52a 100644 --- a/test/shared/sdk/entities/Arb.ts +++ b/test/shared/sdk/entities/Arb.ts @@ -31,7 +31,7 @@ function bisection(func, a, b) { else a = c } //prints value of c upto 4 decimal places - console.log('\n The value of ' + 'root is : ' + c.toFixed(4)) + console.log('\n The value of ' + 'root is : ' + c) return c } @@ -49,6 +49,7 @@ export class Arbitrageur { } arbitrageExactly(spot: Wei, pool: Pool) { + console.log(`\n ----- Start Arb at spot price: ${spot.float} -----`) const gamma = 1 - pool.entity.fee const [R1, R2, invariant, strike, sigma, tau] = [ pool.reserveRisky.float / pool.liquidity.float, @@ -65,33 +66,56 @@ export class Arbitrageur { // Marginal price of buying epsilon risky const buyPriceRisky = pool.getMarginalPriceSwapStableIn(0) - console.log(`\n Sell price of risky: ${sellPriceRisky}`) - console.log(` Buy price risky: ${buyPriceRisky}`) + console.log(`\n Sell price of risky: ${sellPriceRisky}`) + console.log(` Buy price risky: ${buyPriceRisky}`) + console.log(` Market price: ${spot.float}`) if (sellPriceRisky > spot.float + this.optimalAmount) { const func = (amountIn) => { return pool.getMarginalPriceSwapRiskyIn(amountIn) - spot.float } - const optimalTrade = parseWei(bisection(func, 0, 1 - R1 - EPSILON)) // bisect - + let optimalTrade + if (true) { + optimalTrade = bisection(func, EPSILON, 1 - R1 - EPSILON) // bisect + } else { + optimalTrade = 1 - R1 + } + console.log(`\n Optimal trade is: ${optimalTrade}`) + optimalTrade = parseWei(Math.floor(optimalTrade * 1e18) / 1e18) const { deltaOut } = pool.virtualSwapAmountInRisky(optimalTrade) - const profit = deltaOut.sub(optimalTrade.mul(spot.float)) - - console.log(`\n Sell profit: ${profit.float}`) + const profit = deltaOut.sub(optimalTrade.mul(spot)) - pool.swapAmountInRisky(optimalTrade) // do the arbitrage + console.log(` Sell profit: ${profit.float}`) + if (profit.float > 0) { + pool.swapAmountInRisky(optimalTrade) // do the arbitrage + console.log(` Invariant after arbitrage: ${pool.invariant.parsed}`) + } } else if (buyPriceRisky < spot.float - this.optimalAmount) { const func = (amountIn) => { return spot.float - pool.getMarginalPriceSwapStableIn(amountIn) } - const optimalTrade = parseWei(bisection(func, 0, strike.float - R2 - EPSILON)) //bisect func + let optimalTrade + if (true) { + optimalTrade = bisection(func, 0, strike.float - R2 - EPSILON) //bisect func + } else { + optimalTrade = strike.float - R2 + } + + optimalTrade = parseWei(Math.floor(optimalTrade * 1e18) / 1e18) + + console.log(`\n Optimal trade is: ${optimalTrade.float}`) const { deltaOut } = pool.virtualSwapAmountInStable(optimalTrade) const profit = optimalTrade.mul(spot.float).sub(deltaOut) - console.log(`\n Buy profit: ${profit.float}`) - pool.swapAmountInStable(optimalTrade) // do the arbitrage + console.log(` Buy profit: ${profit.float}`) + if (profit.float > 0) { + pool.swapAmountInStable(optimalTrade) // do the arbitrage + console.log(` Invariant after arbitrage: ${pool.invariant.parsed}`) + } } + + console.log(`\n ----- End Arb -----`) } } diff --git a/test/shared/sdk/entities/Pool.ts b/test/shared/sdk/entities/Pool.ts index 6bd04c0f..37f15f8d 100644 --- a/test/shared/sdk/entities/Pool.ts +++ b/test/shared/sdk/entities/Pool.ts @@ -159,6 +159,7 @@ export class Pool { virtualSwapAmountInRisky(deltaIn: Wei): SwapReturn { const gamma = 1 - this.entity.fee + console.log(deltaIn.float) const deltaInWithFee = deltaIn.mul(gamma * Percentage.Mantissa).div(Percentage.Mantissa) const newReserveRisky = this.reserveRisky.add(deltaInWithFee) const newReserveStable = this.getStableGivenRisky(newReserveRisky) diff --git a/test/shared/sdk/entities/Simulation.ts b/test/shared/sdk/entities/Simulation.ts index 8617c496..5341102e 100644 --- a/test/shared/sdk/entities/Simulation.ts +++ b/test/shared/sdk/entities/Simulation.ts @@ -1,6 +1,6 @@ import { Pool } from './Pool' import { Arbitrageur } from './Arb' -import { parseWei, Percentage, Time, toBN, Wei } from 'web3-units' +import { Integer64x64, parseWei, Percentage, Time, toBN, Wei } from 'web3-units' import { constants, Contract } from 'ethers' import { GBM } from '../generateGBM' import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' @@ -76,39 +76,36 @@ async function main() { let effectiveLpArray: number[] = [] for (let i = 0; i < length; i++) { + console.log(`\n On step: ${i} out of ${length}`) let day = i let theoreticalTau = pool.tau.years - day / 365 let dtau = 1 let spot = gbm[i] if (i % dtau == 0) { pool.tau = new Time((pool.tau.years - day / 365) * Time.YearInSeconds) + pool.invariant = new Integer64x64( + Integer64x64.Denominator.mul(pool.reserveStable.sub(pool.getRiskyGivenStable(pool.reserveRisky)).raw) + ) + spotPriceArray.push(pool.getSpotPrice().float) } - console.log(theoreticalTau) - - if (pool.tau.years > 0.05) { + if (pool.tau.years >= 0) { arbitrageur.arbitrageExactly(parseWei(spot), pool) + maxMarginalPriceArray.push(pool.getMarginalPriceSwapStableIn(0)) + minMarginalPriceArray.push(pool.getMarginalPriceSwapRiskyIn(0)) let theoreticalRisky = getRiskyReservesGivenSpotPrice(spot, pool.strike.float, pool.sigma.float, theoreticalTau) let theoreticalStable = getStableGivenRisky(theoreticalRisky, pool.strike.float, pool.sigma.float, theoreticalTau) - if (spot > 2300 && spot < 2350) { - } - let theoreticalLpValue = theoreticalRisky * spot + theoreticalStable + let effectiveLpValue = pool.reserveRisky.float * spot + pool.reserveStable.float theoreticalLpArray.push(theoreticalLpValue) - effectiveLpArray.push(pool.reserveRisky.float * spot + pool.reserveStable.float) - console.log('getting spot price', pool.liquidity) - spotPriceArray.push(pool.getSpotPrice().float) - //let { effectivePriceOutStable } = pool.virtualSwapAmountInRisky(parseWei(EPSILON)) - //minMarginalPriceArray.push(effectivePriceOutStable?.float) - //;({ effectivePriceOutStable } = pool.virtualSwapAmountInStable(parseWei(EPSILON))) - //maxMarginalPriceArray.push(effectivePriceOutStable?.float) - maxMarginalPriceArray.push(pool.getMarginalPriceSwapStableIn(0)) - minMarginalPriceArray.push(pool.getMarginalPriceSwapRiskyIn(0)) + effectiveLpArray.push(effectiveLpValue) + console.log(`\n Theoretical Lp value: ${theoreticalLpValue}`) + console.log(`\n Effective Lp value: ${effectiveLpValue}`) } } const arrays = [theoreticalLpArray, effectiveLpArray, spotPriceArray, minMarginalPriceArray, maxMarginalPriceArray] - console.log(`\n Arrays:`) + console.log(`\n Arrays:`) console.log(arrays) await updateLog(+s, +fee, arrays) } From 92e12018f316aaadb033a9f73b59d6bf951f922c Mon Sep 17 00:00:00 2001 From: Alex Angel Date: Wed, 14 Jul 2021 12:23:25 -0700 Subject: [PATCH 4/8] perf(sim): sim worked --- simulationData.json | 20363 ++++++++++++++++++++++- test/shared/sdk/entities/Arb.ts | 4 +- test/shared/sdk/entities/Pool.ts | 27 +- test/shared/sdk/entities/Simulation.ts | 32 +- 4 files changed, 20243 insertions(+), 183 deletions(-) diff --git a/simulationData.json b/simulationData.json index 38dadeca..620bcf12 100644 --- a/simulationData.json +++ b/simulationData.json @@ -1,160 +1,20211 @@ { - "0": { - "0": [ - [], - [], - [], - [], - [] - ], - "1": [ - [], - [], - [], - [], - [] - ], - "2": [ - [], - [], - [], - [], - [] - ], - "3": [ - [], - [], - [], - [], - [] - ], - "4": [ - [], - [], - [], - [], - [] - ], - "5": [ - [], - [], - [], - [], - [] - ], - "6": [ - [], - [], - [], - [], - [] - ], - "7": [ - [], - [], - [], - [], - [] - ], - "8": [ - [], - [], - [], - [], - [] - ], - "9": [ - [], - [], - [], - [], - [] - ], - "10": [ - [], - [], - [], - [], - [] - ] - }, "5": { - "0": 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b/test/shared/sdk/entities/Arb.ts index 16b6e52a..370e2b85 100644 --- a/test/shared/sdk/entities/Arb.ts +++ b/test/shared/sdk/entities/Arb.ts @@ -76,7 +76,7 @@ export class Arbitrageur { } let optimalTrade - if (true) { + if (Math.sign(func(EPSILON)) != Math.sign(func(1 - R1 - EPSILON))) { optimalTrade = bisection(func, EPSILON, 1 - R1 - EPSILON) // bisect } else { optimalTrade = 1 - R1 @@ -97,7 +97,7 @@ export class Arbitrageur { } let optimalTrade - if (true) { + if (Math.sign(func(EPSILON)) != Math.sign(func(strike.float - R2 - EPSILON))) { optimalTrade = bisection(func, 0, strike.float - R2 - EPSILON) //bisect func } else { optimalTrade = strike.float - R2 diff --git a/test/shared/sdk/entities/Pool.ts b/test/shared/sdk/entities/Pool.ts index 37f15f8d..1efad7a2 100644 --- a/test/shared/sdk/entities/Pool.ts +++ b/test/shared/sdk/entities/Pool.ts @@ -90,16 +90,24 @@ export class Pool { * @return reserveRisky Expected amount of risky token reserves */ getRiskyGivenStable(reserveStable: Wei): Wei { - return parseWei( - getInverseTradingFunction( - this.invariant.float, - reserveStable.float, - this.liquidity.float, - this.strike.float, - this.sigma.float, - this.tau.years - ) + console.log( + this.invariant.float, + reserveStable.float, + this.liquidity.float, + this.strike.float, + this.sigma.float, + this.tau.years + ) + const risky = getInverseTradingFunction( + this.invariant.float, + reserveStable.float, + this.liquidity.float, + this.strike.float, + this.sigma.float, + this.tau.years ) + console.log(`\n Pool: got risky: ${risky} given stable: ${reserveStable.float}`) + return parseWei(risky) } /** @@ -159,7 +167,6 @@ export class Pool { virtualSwapAmountInRisky(deltaIn: Wei): SwapReturn { const gamma = 1 - this.entity.fee - console.log(deltaIn.float) const deltaInWithFee = deltaIn.mul(gamma * Percentage.Mantissa).div(Percentage.Mantissa) const newReserveRisky = this.reserveRisky.add(deltaInWithFee) const newReserveStable = this.getStableGivenRisky(newReserveRisky) diff --git a/test/shared/sdk/entities/Simulation.ts b/test/shared/sdk/entities/Simulation.ts index 5341102e..0c2ea7ed 100644 --- a/test/shared/sdk/entities/Simulation.ts +++ b/test/shared/sdk/entities/Simulation.ts @@ -57,17 +57,12 @@ async function main() { ) const arbitrageur: Arbitrageur = new Arbitrageur() const mu = 0.00003 - const T: Time = pool.tau + const T: Time = config.maturity.sub(config.lastTimestamp) const sigma: number = config.sigma.float / Math.sqrt(T.years) const spot: Wei = parseWei(1000) const dt = 1 const gbm: any[] = GBM(spot.float, mu, sigma, T.years, dt * 365, true) - const [t, S] = gbm const length = gbm.length - let constantPrice: number[] = [] - for (let i = 0; i < length; i++) { - constantPrice.push(spot.float) - } let spotPriceArray: number[] = [] let minMarginalPriceArray: number[] = [] @@ -75,14 +70,15 @@ async function main() { let theoreticalLpArray: number[] = [] let effectiveLpArray: number[] = [] - for (let i = 0; i < length; i++) { + for (let i = 0; i < length - 1; i++) { console.log(`\n On step: ${i} out of ${length}`) let day = i - let theoreticalTau = pool.tau.years - day / 365 + let theoreticalTau = T.years - day / 365 + console.log(`\n Theoretical tau: ${theoreticalTau}`) let dtau = 1 let spot = gbm[i] if (i % dtau == 0) { - pool.tau = new Time((pool.tau.years - day / 365) * Time.YearInSeconds) + pool.tau = new Time(theoreticalTau * Time.YearInSeconds) pool.invariant = new Integer64x64( Integer64x64.Denominator.mul(pool.reserveStable.sub(pool.getRiskyGivenStable(pool.reserveRisky)).raw) ) @@ -104,15 +100,21 @@ async function main() { } } - const arrays = [theoreticalLpArray, effectiveLpArray, spotPriceArray, minMarginalPriceArray, maxMarginalPriceArray] - console.log(`\n Arrays:`) - console.log(arrays) - await updateLog(+s, +fee, arrays) + const results = { + theoreticalLp: theoreticalLpArray, + effectiveLp: effectiveLpArray, + spotPrice: spotPriceArray, + minMarginalPrice: minMarginalPriceArray, + maxMarginalPriceArray: maxMarginalPriceArray, + } + console.log(`\n results:`) + console.log(results) + await updateLog(+s, +fee, results) } } } -export async function updateLog(seed: number, fee: number, arrays: any[]) { +export async function updateLog(seed: number, fee: number, results: Object) { try { const logRaw = await fs.promises.readFile('./simulationData.json', { encoding: 'utf-8', @@ -130,7 +132,7 @@ export async function updateLog(seed: number, fee: number, arrays: any[]) { log[seed] = {} } - log[seed][fee] = arrays + log[seed][fee] = results await fs.promises.writeFile('./simulationData.json', JSON.stringify(log, null, 2)) } catch (e) { From df3094ea03c3ea64ca83d237177ad629100cd73c Mon Sep 17 00:00:00 2001 From: Alex Angel Date: Wed, 14 Jul 2021 13:08:24 -0700 Subject: [PATCH 5/8] fix(maxMarignalPrice): fixes some marginal price calcs --- package.json | 1 + simulationData.json | 34836 +++++++++--------- test/shared/CumulativeNormalDistribution.ts | 10 +- test/shared/sdk/entities/Arb.ts | 20 +- test/shared/sdk/entities/Pool.ts | 36 +- test/shared/sdk/entities/Simulation.ts | 16 +- yarn-error.log | 10719 ++++++ yarn.lock | 5 + 8 files changed, 28192 insertions(+), 17451 deletions(-) create mode 100644 yarn-error.log diff --git a/package.json b/package.json index 23c0daae..70053428 100644 --- a/package.json +++ b/package.json @@ -61,6 +61,7 @@ "dotenv": "^10.0.0", "ethereum-waffle": "^3.3.0", "ethers": "^5.0.32", + "gaussian": "^1.2.0", "hardhat": "^2.3.0", "hardhat-contract-sizer": "^2.0.3", "hardhat-gas-reporter": "^1.0.4", diff --git a/simulationData.json b/simulationData.json index 620bcf12..d7dfa9d7 100644 --- a/simulationData.json +++ b/simulationData.json @@ -2,5236 +2,1109 @@ "5": { "0": { "theoreticalLp": [ - 646.2829646986524, - 653.3631738526719, - 680.7436437083337, - 650.4916512132542, - 660.4798608177254, - 673.80920194315, - 666.5868798140555, - 650.544990431725, - 620.5013073201685, - 626.0718223967335, - 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+20056,11 @@ null, null, null, - 581.8182911243197, - 545.7873273820763, null, - 514.1651080186391, - 463.68198241422465, + null, + null, + null, + null, null, null, null, diff --git a/test/shared/CumulativeNormalDistribution.ts b/test/shared/CumulativeNormalDistribution.ts index ba91aefb..43c1f024 100644 --- a/test/shared/CumulativeNormalDistribution.ts +++ b/test/shared/CumulativeNormalDistribution.ts @@ -1,3 +1,5 @@ +import gaussian from 'gaussian' + function cdf(x, mean, variance) { return 0.5 * (1 + erf((x - mean) / Math.sqrt(2 * variance))) } @@ -25,7 +27,13 @@ export function std_n_cdf(x) { return cdf(x, 0, 1) } +// source: https://github.com/errcw/gaussian/blob/master/lib/gaussian.js export function inverse_std_n_cdf(x) { + return gaussian(0, 1).ppf(x) +} + +// solidity implementation: https://arxiv.org/pdf/1002.0567.pdf +/* export function inverse_std_n_cdf(x) { const q = x - 0.5 const r = Math.pow(q, 2) const a0 = 0.151015506 @@ -38,4 +46,4 @@ export function inverse_std_n_cdf(x) { const input = a2 + numerator / denominator const result = q * input return result -} +} */ diff --git a/test/shared/sdk/entities/Arb.ts b/test/shared/sdk/entities/Arb.ts index 370e2b85..87e1fee0 100644 --- a/test/shared/sdk/entities/Arb.ts +++ b/test/shared/sdk/entities/Arb.ts @@ -1,9 +1,10 @@ import { parseWei, Wei } from 'web3-units' import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' import { Pool } from './Pool' +import gaussian from 'gaussian' export const quantilePrime = (x) => { - return Math.pow(std_n_cdf(inverse_std_n_cdf(x)), -1) + return gaussian(0, 1).pdf(inverse_std_n_cdf(x)) ** -1 } export const EPSILON = 1e-3 @@ -84,10 +85,10 @@ export class Arbitrageur { console.log(`\n Optimal trade is: ${optimalTrade}`) optimalTrade = parseWei(Math.floor(optimalTrade * 1e18) / 1e18) const { deltaOut } = pool.virtualSwapAmountInRisky(optimalTrade) - const profit = deltaOut.sub(optimalTrade.mul(spot)) + const profit = deltaOut.float - optimalTrade.float * spot.float - console.log(` Sell profit: ${profit.float}`) - if (profit.float > 0) { + console.log(` Sell profit: ${profit}`) + if (profit > 0) { pool.swapAmountInRisky(optimalTrade) // do the arbitrage console.log(` Invariant after arbitrage: ${pool.invariant.parsed}`) } @@ -102,15 +103,14 @@ export class Arbitrageur { } else { optimalTrade = strike.float - R2 } - + console.log(`\n Optimal trade is: ${optimalTrade}`) optimalTrade = parseWei(Math.floor(optimalTrade * 1e18) / 1e18) - console.log(`\n Optimal trade is: ${optimalTrade.float}`) - const { deltaOut } = pool.virtualSwapAmountInStable(optimalTrade) - const profit = optimalTrade.mul(spot.float).sub(deltaOut) - console.log(` Buy profit: ${profit.float}`) - if (profit.float > 0) { + console.log(` Got delta out of ${deltaOut.float}`) + const profit = optimalTrade.float * spot.float - deltaOut.float + console.log(` Buy profit: ${profit}`) + if (profit > 0) { pool.swapAmountInStable(optimalTrade) // do the arbitrage console.log(` Invariant after arbitrage: ${pool.invariant.parsed}`) } diff --git a/test/shared/sdk/entities/Pool.ts b/test/shared/sdk/entities/Pool.ts index 1efad7a2..73d00f92 100644 --- a/test/shared/sdk/entities/Pool.ts +++ b/test/shared/sdk/entities/Pool.ts @@ -5,6 +5,10 @@ import { Integer64x64, Percentage, Time, Wei, parseWei, parseInt64x64 } from 'we import { inverse_std_n_cdf, std_n_cdf } from '../../CumulativeNormalDistribution' import { quantilePrime } from './Arb' +export const nonNegative = (x: number): boolean => { + return x >= 0 +} + export const clonePool = (poolToClone: Pool, newRisky: Wei, newStable: Wei): Pool => { return new Pool( poolToClone.entity, @@ -241,18 +245,18 @@ export class Pool { * @return Marginal price after a trade with size `amountIn` with the current reserves. */ getMarginalPriceSwapRiskyIn(amountIn) { + if (!nonNegative(amountIn)) return 0 const gamma = 1 - this.entity.fee const reserveRisky = this.reserveRisky.float / this.liquidity.float const invariant = this.invariant const strike = this.strike const sigma = this.sigma const tau = this.tau - return ( - gamma * - strike.float * - std_n_cdf(inverse_std_n_cdf(1 - reserveRisky - gamma * amountIn) - sigma.float * Math.sqrt(tau.years)) * - quantilePrime(1 - reserveRisky - gamma * amountIn) - ) + const step0 = 1 - reserveRisky - gamma * amountIn + const step1 = sigma.float * Math.sqrt(tau.years) + const step2 = quantilePrime(step0) + + return gamma * strike.float * step1 * step2 } /** @@ -261,21 +265,21 @@ export class Pool { * @return Marginal price after a trade with size `amountIn` with the current reserves. */ getMarginalPriceSwapStableIn(amountIn) { + if (!nonNegative(amountIn)) return 0 const gamma = 1 - this.entity.fee const reserveStable = this.reserveStable.float / this.liquidity.float const invariant = this.invariant const strike = this.strike const sigma = this.sigma const tau = this.tau - return ( - 1 / - (gamma * - std_n_cdf( - inverse_std_n_cdf((reserveStable + gamma * amountIn - invariant.parsed) / strike.float) + - sigma.float * Math.sqrt(tau.years) - ) * - quantilePrime((reserveStable + gamma * amountIn - invariant.parsed) / strike.float) * - (1 / strike.float)) - ) + const step0 = (reserveStable + gamma * amountIn - invariant.parsed / Math.pow(10, 18)) / strike.float + const step1 = sigma.float * Math.sqrt(tau.years) + const step3 = inverse_std_n_cdf(step0) + const step4 = std_n_cdf(step3 + step1) + const step5 = step0 * (1 / strike.float) + const step6 = quantilePrime(step5) + const step7 = gamma * step4 * step6 + //console.log({ step0, step1, step3, step4, step5, step6, step7 }, 1 / step7) + return 1 / step7 } } diff --git a/test/shared/sdk/entities/Simulation.ts b/test/shared/sdk/entities/Simulation.ts index 0c2ea7ed..cc0bccc5 100644 --- a/test/shared/sdk/entities/Simulation.ts +++ b/test/shared/sdk/entities/Simulation.ts @@ -37,13 +37,15 @@ export function getStableGivenRisky(risky, K, sigma, tau) { return getTradingFunction(0, risky, 1, K, sigma, tau) } -const fees = [0, 0.005, 0.01, 0.015, 0.02, 0.025, 0.03, 0.035, 0.04, 0.045, 0.05] +const fees = [0, 0.005] const seeds = [5] async function main() { for (const s of seeds) { + console.log(`\n-----Start sim for seed of ${s}-----`) for (const fee of fees) { + console.log(`\n-----Start sim for fee of ${fee}-----`) const gammaStr = (1 - fee).toString() const engine: Engine = new Engine(DefaultTokens.risky, DefaultTokens.stable, fee) const pool: Pool = new Pool( @@ -71,10 +73,10 @@ async function main() { let effectiveLpArray: number[] = [] for (let i = 0; i < length - 1; i++) { - console.log(`\n On step: ${i} out of ${length}`) + console.log(`\nOn step: ${i} out of ${length - 1}`) let day = i let theoreticalTau = T.years - day / 365 - console.log(`\n Theoretical tau: ${theoreticalTau}`) + console.log(`\n Theoretical tau: ${theoreticalTau}`) let dtau = 1 let spot = gbm[i] if (i % dtau == 0) { @@ -95,8 +97,8 @@ async function main() { let effectiveLpValue = pool.reserveRisky.float * spot + pool.reserveStable.float theoreticalLpArray.push(theoreticalLpValue) effectiveLpArray.push(effectiveLpValue) - console.log(`\n Theoretical Lp value: ${theoreticalLpValue}`) - console.log(`\n Effective Lp value: ${effectiveLpValue}`) + console.log(`\n Theoretical Lp value: ${theoreticalLpValue}`) + console.log(`\n Effective Lp value: ${effectiveLpValue}`) } } @@ -107,10 +109,12 @@ async function main() { minMarginalPrice: minMarginalPriceArray, maxMarginalPriceArray: maxMarginalPriceArray, } - console.log(`\n results:`) + console.log(`\n Results:`) console.log(results) await updateLog(+s, +fee, results) + console.log(`\n-----------------------------------`) } + console.log(`\n-----------------------------------`) } } diff --git a/yarn-error.log b/yarn-error.log new file mode 100644 index 00000000..b6057d10 --- /dev/null +++ b/yarn-error.log @@ -0,0 +1,10719 @@ +Arguments: + C:\Program Files\nodejs\node.exe C:\Program Files\nodejs\node_modules\yarn\bin\yarn.js add --dev guassian + +PATH: + C:\Users\alexa\bin;C:\Program Files\Git\mingw64\bin;C:\Program Files\Git\usr\local\bin;C:\Program Files\Git\usr\bin;C:\Program Files\Git\usr\bin;C:\Program Files\Git\mingw64\bin;C:\Program Files\Git\usr\bin;C:\Users\alexa\bin;C:\WINDOWS\system32;C:\WINDOWS;C:\WINDOWS\System32\Wbem;C:\WINDOWS\System32\WindowsPowerShell\v1.0;C:\WINDOWS\System32\OpenSSH;C:\Program Files\NVIDIA Corporation\NVIDIA NvDLISR;C:\Program Files (x86)\NVIDIA Corporation\PhysX\Common;C:\Program Files\Git\cmd;%NVM_HOME%;%NVM_SYMLINK%;C:\Users\alexa\AppData\Local\Microsoft\WindowsApps;C:\Users\alexa\AppData\Local\Programs\Microsoft VS Code\bin;C:\Users\alexa\AppData\Roaming\nvm;C:\Program Files\nodejs;C:\Program Files\Git\usr\bin\vendor_perl;C:\Program Files\Git\usr\bin\core_perl + +Yarn version: + 1.22.10 + +Node version: + 14.0.0 + +Platform: + win32 x64 + +Trace: + Error: https://registry.yarnpkg.com/guassian: Not found + at Request.params.callback [as _callback] (C:\Users\alexa\AppData\Roaming\nvm\v14.0.0\node_modules\yarn\lib\cli.js:66988:18) + at Request.self.callback (C:\Users\alexa\AppData\Roaming\nvm\v14.0.0\node_modules\yarn\lib\cli.js:140662:22) + at Request.emit (events.js:315:20) + at Request. 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test/shared/sdk/entities/Arb.ts | 4 +- test/shared/sdk/entities/Pool.ts | 41 +- test/shared/sdk/entities/Simulation.ts | 6 +- 4 files changed, 3610 insertions(+), 3595 deletions(-) diff --git a/simulationData.json b/simulationData.json index d7dfa9d7..bab2c995 100644 --- a/simulationData.json +++ b/simulationData.json @@ -3,2574 +3,2574 @@ "0": { "theoreticalLp": [ 646.252587164151, - 640.7360492339751, - 628.7170003150294, - 614.5458042356302, - 578.7435828594953, - 561.7436826384139, - 548.6385987062588, - 537.458974131036, - 491.2450521867571, - 489.58012423034705, - 505.25279658946545, - 511.9137946993008, - 502.29854802552563, - 519.7475173404425, - 510.97083293849516, - 513.0279633642241, - 514.9367970780343, - 510.5857439609839, - 491.84043045318396, - 519.9848333615541, - 535.6252304298424, - 526.3182681815942, - 535.902468325435, - 520.4475517245812, - 517.8117091192703, - 517.3062812626717, - 492.0027110977238, - 493.3246397010778, - 481.07796069801907, - 460.1038360406441, - 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Math.pow(10, 18)}`) } } else if (buyPriceRisky < spot.float - this.optimalAmount) { const func = (amountIn) => { @@ -112,7 +112,7 @@ export class Arbitrageur { console.log(` Buy profit: ${profit}`) if (profit > 0) { pool.swapAmountInStable(optimalTrade) // do the arbitrage - console.log(` Invariant after arbitrage: ${pool.invariant.parsed}`) + console.log(` Invariant after arbitrage: ${pool.invariant.parsed / Math.pow(10, 18)}`) } } diff --git a/test/shared/sdk/entities/Pool.ts b/test/shared/sdk/entities/Pool.ts index 73d00f92..3f95f8d1 100644 --- a/test/shared/sdk/entities/Pool.ts +++ b/test/shared/sdk/entities/Pool.ts @@ -76,16 +76,28 @@ export class Pool { * @return reserveStable Expected amount of stable token reserves */ getStableGivenRisky(reserveRisky: Wei): Wei { - return parseWei( - getTradingFunction( - this.invariant.float, - reserveRisky.float, - this.liquidity.float, - this.strike.float, - this.sigma.float, - this.tau.years - ) + const invariant = Math.floor(this.invariant.parsed) / Math.pow(10, 18) + console.log( + Math.abs(invariant) >= 1e-8, + invariant, + reserveRisky.float, + this.liquidity.float, + this.strike.float, + this.sigma.float, + this.tau.years + ) + + let stable = getTradingFunction( + Math.abs(invariant) >= 1e-8 ? 0 : invariant, + reserveRisky.float, + this.liquidity.float, + this.strike.float, + this.sigma.float, + this.tau.years ) + + stable = Math.floor(stable * Math.pow(10, 18)) / Math.pow(10, 18) + return parseWei(stable) } /** @@ -94,16 +106,18 @@ export class Pool { * @return reserveRisky Expected amount of risky token reserves */ getRiskyGivenStable(reserveStable: Wei): Wei { + const invariant = Math.floor(this.invariant.parsed) / Math.pow(10, 18) console.log( - this.invariant.float, + Math.abs(invariant) >= 1e-8, + invariant, reserveStable.float, this.liquidity.float, this.strike.float, this.sigma.float, this.tau.years ) - const risky = getInverseTradingFunction( - this.invariant.float, + let risky = getInverseTradingFunction( + Math.abs(invariant) >= 1e-8 ? 0 : invariant, reserveStable.float, this.liquidity.float, this.strike.float, @@ -111,6 +125,7 @@ export class Pool { this.tau.years ) console.log(`\n Pool: got risky: ${risky} given stable: ${reserveStable.float}`) + risky = Math.floor(risky * Math.pow(10, 18)) / Math.pow(10, 18) return parseWei(risky) } @@ -174,7 +189,7 @@ export class Pool { const deltaInWithFee = deltaIn.mul(gamma * Percentage.Mantissa).div(Percentage.Mantissa) const newReserveRisky = this.reserveRisky.add(deltaInWithFee) const newReserveStable = this.getStableGivenRisky(newReserveRisky) - const deltaOut = newReserveStable.sub(this.reserveStable) + const deltaOut = this.reserveStable.sub(newReserveStable) const effectivePriceOutStable = deltaOut.div(deltaIn) return { deltaOut, diff --git a/test/shared/sdk/entities/Simulation.ts b/test/shared/sdk/entities/Simulation.ts index cc0bccc5..0230fa83 100644 --- a/test/shared/sdk/entities/Simulation.ts +++ b/test/shared/sdk/entities/Simulation.ts @@ -62,8 +62,8 @@ async function main() { const T: Time = config.maturity.sub(config.lastTimestamp) const sigma: number = config.sigma.float / Math.sqrt(T.years) const spot: Wei = parseWei(1000) - const dt = 1 - const gbm: any[] = GBM(spot.float, mu, sigma, T.years, dt * 365, true) + const dt = 365 + const gbm: any[] = GBM(spot.float, mu, sigma, T.years, dt, true) const length = gbm.length let spotPriceArray: number[] = [] @@ -73,7 +73,7 @@ async function main() { let effectiveLpArray: number[] = [] for (let i = 0; i < length - 1; i++) { - console.log(`\nOn step: ${i} out of ${length - 1}`) + console.log(`\nOn step: ${i} out of ${length - 1} for fee case: ${fee} and seed: ${s}`) let day = i let theoreticalTau = T.years - day / 365 console.log(`\n Theoretical tau: ${theoreticalTau}`) From f8ad044294e087908b18299a62c195e8284d14e4 Mon Sep 17 00:00:00 2001 From: Alex Angel Date: Wed, 14 Jul 2021 15:36:25 -0700 Subject: [PATCH 7/8] perf(simulationData): adds sim data to gitignore --- .gitignore | 2 + simulationData.json | 20211 ------------------------------------------ 2 files changed, 2 insertions(+), 20211 deletions(-) delete mode 100644 simulationData.json diff --git a/.gitignore b/.gitignore index 9bb14bea..c06b55b8 100644 --- a/.gitignore +++ b/.gitignore @@ -11,3 +11,5 @@ typechain/ dist .vscode/ + +.simulationData.json \ No newline at end of file diff --git a/simulationData.json b/simulationData.json deleted file mode 100644 index bab2c995..00000000 --- a/simulationData.json +++ /dev/null @@ -1,20211 +0,0 @@ -{ - "5": { - "0": { - "theoreticalLp": [ - 646.252587164151, - 665.4236416191047, - 648.7250028902567, - 659.3214496529762, - 660.5334194569493, - 668.0553036521869, - 666.2326705815893, - 690.7044558525596, - 707.8925359207587, - 693.1165260136854, - 673.5708648911808, - 638.5113129640315, - 680.1410757949701, - 686.0506218721955, - 695.2409417643498, - 691.649760957527, - 695.4838692746495, - 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