Auction slot: update sample code

This commit is contained in:
mDuo13
2024-05-02 15:37:41 -07:00
parent 40e2e6341e
commit 46d1add256

View File

@@ -65,8 +65,10 @@ function swapOut(asset_out_bn, pool_in_bn, pool_out_bn, trading_fee) {
* Params and return value are BigNumber instances.
*/
function solveQuadraticEq(a,b,c) {
const b2minus4ac = b.multipliedBy(b).minus( a.multipliedBy(c).multipliedBy(4) )
return ( b.negated().plus(b2minus4ac.sqrt()) ).dividedBy(a.multipliedBy(2));
const b2minus4ac = b.multipliedBy(b).minus(
a.multipliedBy(c).multipliedBy(4)
)
return ( b.negated().plus(b2minus4ac.sqrt()) ).dividedBy(a.multipliedBy(2))
}
/*
@@ -80,7 +82,6 @@ function solveQuadraticEq(a,b,c) {
* represents a 1% fee.
*/
function ammAssetIn(pool_in, lpt_balance, desired_lpt, trading_fee) {
// TODO: refactor to take pool_in as a BigNumber so precision can be set based on XRP/drops?
// convert inputs to BigNumber
const lpTokens = BigNumber(desired_lpt)
const lptAMMBalance = BigNumber(lpt_balance)
@@ -92,43 +93,85 @@ function ammAssetIn(pool_in, lpt_balance, desired_lpt, trading_fee) {
const t2 = t1.plus(1)
const d = f2.minus( t1.dividedBy(t2) )
const a = BigNumber(1).dividedBy( t2.multipliedBy(t2))
const b = BigNumber(2).multipliedBy(d).dividedBy(t2).minus( BigNumber(1).dividedBy(f1) )
const b = BigNumber(2).multipliedBy(d).dividedBy(t2).minus(
BigNumber(1).dividedBy(f1)
)
const c = d.multipliedBy(d).minus( f2.multipliedBy(f2) )
return asset1Balance.multipliedBy(solveQuadraticEq(a,b,c))
}
/*
* Calculates the necessary bid to win the AMM Auction slot, per the pricing
* algorithm defined in XLS-30 section 4.1.1.
* algorithm defined in XLS-30 section 4.1.1, if you already hold LP Tokens.
* Not useful in the case where you need to make a deposit to get LP Tokens,
* because doing so causes more LP Tokens to be issued, changing the min bid.
* @returns BigNumber - the minimum amount of LP tokens to win the auction slot
*/
function auctionPrice(old_bid, time_interval, trading_fee, lpt_balance) {
const tfee_decimal = feeDecimal(trading_fee)
const min_bid = BigNumber(lpt_balance).multipliedBy(tfee_decimal).dividedBy(25)
const lptokens = BigNumber(lpt_balance)
const min_bid = lptokens.multipliedBy(tfee_decimal).dividedBy(25)
const b = BigNumber(old_bid)
if (time_interval >= 20) {
return min_bid
} else if (time_interval > 1) {
const t60 = BigNumber("0.05").multipliedBy(time_interval).exponentiatedBy(60)
return b.multipliedBy("1.05").multipliedBy(BigNumber(1).minus(t60)).plus(min_bid)
} else { // time_interval <= 1
return b.multipliedBy(BigNumber("1.05")).plus(min_bid)
let new_bid = min_bid
if (time_interval == 0) {
new_bid = b.multipliedBy("1.05").plus(min_bid)
} else if (time_interval <= 19) {
const t60 = BigNumber(time_interval).multipliedBy("0.05"
).exponentiatedBy(60)
new_bid = b.multipliedBy("1.05").multipliedBy(
BigNumber(1).minus(t60)
).plus(min_bid)
}
const rounded_bid = new_bid.plus(lptokens).precision(15, BigNumber.CEILING
).minus(lptokens).precision(15, BigNumber.FLOOR)
return rounded_bid
}
/*
* Calculates how much to deposit, in terms of LP Tokens out, to be able to win
* the auction slot. This is based on the slot pricing algorithm defined in
* XLS-30 section 4.1.1, but factors in the increase in the minimum bid as a
* result of having new LP Tokens issued to you from your deposit.
*/
function auctionDeposit(old_bid, time_interval, trading_fee, lpt_balance) {
const tfee_decimal = feeDecimal(trading_fee)
const lptokens = BigNumber(lpt_balance)
const b = BigNumber(old_bid)
let outbidAmount = BigNumber(0) // This is the case if time_interval >= 20
if (time_interval == 0) {
outbidAmount = b.multipliedBy("1.05")
} else if (time_interval <= 19) {
const t60 = BigNumber(time_interval).multipliedBy("0.05").exponentiatedBy(60)
outbidAmount = b.multipliedBy("1.05").multipliedBy(BigNumber(1).minus(t60))
}
const new_bid = lptokens.plus(outbidAmount).dividedBy(
BigNumber(25).dividedBy(tfee_decimal).minus(1)
).plus(outbidAmount)
// Significant digits for the deposit are limited by total LPTokens issued
// so we calculate lptokens + deposit - lptokens to determine where the
// rounding occurs. We use ceiling/floor to make sure the amount we receive
// after rounding is still enough to win the auction slot.
const rounded_bid = new_bid.plus(lptokens).precision(15, BigNumber.CEILING
).minus(lptokens).precision(15, BigNumber.FLOOR)
return rounded_bid
}
async function main() {
// Connect ----------------------------------------------------------------
const client = new xrpl.Client('wss://s.devnet.rippletest.net:51233')
const client = new xrpl.Client('wss://s.altnet.rippletest.net:51233')
console.log("Connecting to Testnet...")
await client.connect()
// Get credentials from the Testnet Faucet --------------------------------
console.log("Requesting address from the Testnet faucet...")
// // Get credentials from the faucet -------------------------------------
console.log("Requesting test XRP from the faucet...")
const wallet = (await client.fundWallet()).wallet
console.log(`Got address ${wallet.address}.`)
console.log(`Got address ${wallet.address} / seed ${wallet.seed}.`)
// Look up the AMM
const from_asset = {
@@ -138,76 +181,123 @@ async function main() {
"currency": "TST",
"issuer": "rP9jPyP5kyvFRb6ZiRghAGw5u8SGAmU4bd"
}
const amm_info = (await client.request({"command": "amm_info", "asset": from_asset, "asset2": to_asset}))
const amm_info = (await client.request({
"command": "amm_info",
"asset": from_asset,
"asset2": to_asset
}))
console.dir(amm_info, {depth: null})
const amm_account = amm_info.result.amm.account
const lpt = amm_info.result.amm.lp_token
const pool_drops = amm_info.result.amm.amount // XRP is always first if the pool is token←→XRP
// XRP is always first if the pool is token←→XRP.
// For a token←→token AMM, you'd need to figure out which asset is first.
const pool_drops = amm_info.result.amm.amount
const pool_tst = amm_info.result.amm.amount2
const full_trading_fee = amm_info.result.amm.trading_fee
const discounted_trading_fee = amm_info.result.amm.auction_slot.discounted_fee
const discounted_fee = amm_info.result.amm.auction_slot.discounted_fee
const old_bid = amm_info.result.amm.auction_slot.price.value
const time_interval = amm_info.result.amm.auction_slot.time_interval
// Calculate price in XRP to get 10 TST from the AMM ----------------------
// TODO: first calculate how much will be fulfilled by the order book before getting to the AMM.
// Note, this ignores Offers from the non-AMM part of the DEX.
const to_amount = {
"currency": to_asset.currency,
"issuer": to_asset.issuer,
"value": "10.0"
}
// Convert values to BigNumbers with the appropriate precision ------------
// Convert values to BigNumbers with the appropriate precision.
// Tokens always have 15 significant digits;
// XRP is precise to integer drops, which can be as high as 10^17
const asset_out_bn = BigNumber(to_amount.value).precision(15)
const pool_in_bn = BigNumber(pool_drops).precision(17)
const pool_out_bn = BigNumber(pool_tst.value).precision(15)
if (to_amount.value > pool_out_bn) {
console.log(`Requested ${to_amount.value} ${to_amount.currency} ` +
`but AMM only holds ${pool_tst.value}. Quitting.`)
client.disconnect()
return
}
// Use AMM's SwapOut formula to figure out how much XRP we have to pay
// to receive the target amount of TST, under the current trading fee.
const unrounded_amount = swapOut(asset_out_bn, pool_in_bn, pool_out_bn, full_trading_fee)
const from_amount = unrounded_amount.dp(0, BigNumber.ROUND_CEIL) // Round XRP to integer drops.
console.log(`Expected cost of ${to_amount.value} ${to_amount.currency}: ${xrpl.dropsToXrp(from_amount)} XRP`)
const unrounded_amount = swapOut(asset_out_bn, pool_in_bn,
pool_out_bn, full_trading_fee)
// Round XRP to integer drops. Round ceiling to make you pay in enough.
const from_amount = unrounded_amount.dp(0, BigNumber.ROUND_CEIL)
console.log(`Expected cost of ${to_amount.value} ${to_amount.currency}: ` +
`${xrpl.dropsToXrp(from_amount)} XRP`)
// Same calculation, but assume we have access to the discounted trading
// fee from the auction slot.
const unrounded_amount_discounted = swapOut(asset_out_bn, pool_in_bn, pool_out_bn, discounted_trading_fee)
const discounted_from_amount = unrounded_amount_discounted.dp(0, BigNumber.ROUND_CEIL)
console.log(`Expected cost with auction slot discount: ${xrpl.dropsToXrp(discounted_from_amount)} XRP`)
const raw_discounted = swapOut(asset_out_bn, pool_in_bn, pool_out_bn,
discounted_fee)
const discounted_from_amount = raw_discounted.dp(0, BigNumber.ROUND_CEIL)
console.log(`Expected cost with auction slot discount: `+
`${xrpl.dropsToXrp(discounted_from_amount)} XRP`)
// The potential savings is the difference between the necessary input
// amounts with the full vs discounted fee.
const potential_savings = from_amount - discounted_from_amount
const potential_savings = from_amount.minus(discounted_from_amount)
console.log(`Potential savings: ${xrpl.dropsToXrp(potential_savings)} XRP`)
// Calculate the cost of winning the auction slot, in LP Tokens -----------
// Calculate the cost of winning the auction slot, in LP Tokens
const auction_price = auctionPrice(old_bid, time_interval, full_trading_fee, lpt.value).precision(15)
console.log(`Auction price: ${auction_price} LP Tokens`)
// Figure out how much XRP we need to deposit to receive the auction price
const deposit_for_bid = ammAssetIn(pool_in_bn, lpt.value, auction_price, full_trading_fee).dp(0, BigNumber.ROUND_CEIL)
console.log(`Auction price as XRP single-asset deposit amount: ${xrpl.dropsToXrp(deposit_for_bid)} XRP`)
// The price is slightly different if you already hold LP Tokens vs if you
// have to make a deposit, because the deposit causes more LP Tokens to be
// issued, which increases the minimum bid.
const lp_auction_price = auctionPrice(old_bid, time_interval,
full_trading_fee, lpt.value
).precision(15)
console.log(`Auction price for current LPs: ${lp_auction_price} LP Tokens`)
const SLIPPAGE_MULT = BigNumber(1.01) // allow up to 1% more than estimated amounts. TODO: also allow slippage on auction price?
const deposit_max = deposit_for_bid.multipliedBy(SLIPPAGE_MULT).dp(0).toString()
const auction_price = auctionDeposit(old_bid, time_interval,
full_trading_fee, lpt.value
).precision(15)
console.log(`Auction price after deposit: ${auction_price} LP Tokens`)
// Calculate how much XRP to deposit to receive that many LP Tokens
const deposit_for_bid = ammAssetIn(pool_in_bn, lpt.value, auction_price,
full_trading_fee
).dp(0, BigNumber.ROUND_CEIL)
console.log(`Auction price as XRP single-asset deposit amount: `+
`${xrpl.dropsToXrp(deposit_for_bid)} XRP`)
// TODO: compare price of deposit+bid with potential savings. Don't forget XRP burned as transaction costs
// Optional. Allow for costs to be 1% greater than estimated, in case other
// transactions affect the same AMM during this time.
const SLIPPAGE_MULT = BigNumber(1.01)
const deposit_max = deposit_for_bid.multipliedBy(SLIPPAGE_MULT).dp(0)
// Compare price of deposit+bid with potential savings. -------------------
// Don't forget XRP burned as transaction costs.
const fee_response = (await client.request({"command":"fee"}))
const tx_cost_drops = BigNumber(fee_response.result.drops.minimum_fee
).multipliedBy(client.feeCushion).dp(0)
const net_savings = potential_savings.minus(
tx_cost_drops.multipliedBy(2).plus(deposit_max)
)
if (net_savings > 0) {
console.log(`Estimated net savings from the auction slot: ` +
`${xrpl.dropsToXrp(net_savings)} XRP`)
} else {
console.log(`Estimated the auction slot to be MORE EXPENSIVE by `+
`${xrpl.dropsToXrp(net_savings.negated())} XRP. Quitting.`)
client.disconnect()
return
}
// Do a single-asset deposit to get LP Tokens to bid on the auction slot --
const auction_bid = {
"currency": lpt.currency,
"issuer": lpt.issuer,
"value": auction_price.toString()
}
// Do a single-asset deposit to get LP Tokens to bid on the auction slot
const deposit_result = await client.submitAndWait({
// const deposit_autofill = await client.autofill({
"TransactionType": "AMMDeposit",
"Account": wallet.address,
"Asset": from_asset,
"Asset2": to_asset,
"Amount": deposit_max,
"Amount": deposit_max.toString(),
"LPTokenOut": auction_bid,
"Flags": xrpl.AMMDepositFlags.tfOneAssetLPToken
}, {autofill: true, wallet: wallet}
@@ -215,19 +305,33 @@ async function main() {
console.log("Deposit result:")
console.dir(deposit_result, {depth: null})
// Bid on the auction slot
// Actually bid on the auction slot ---------------------------------------
const bid_result = await client.submitAndWait({
"TransactionType": "AMMBid",
"Account": wallet.address,
"Asset": from_asset,
"Asset2": to_asset,
"BidMax": auction_bid // TODO: try w/ BidMin + BidMax w/ slippage
"BidMax": auction_bid,
"BidMin": auction_bid, // So rounding doesn't leave dust amounts of LPT
}, {autofill: true, wallet: wallet}
)
console.log("Bid result:")
console.dir(bid_result, {depth: null})
// Trade using the discount -----------------------------------------------
const spend_drops = discounted_from_amount.multipliedBy(SLIPPAGE_MULT
).dp(0).toString()
const offer_result = await client.submitAndWait({
"TransactionType": "OfferCreate",
"Account": wallet.address,
"TakerPays": to_amount,
"TakerGets": spend_drops
}, {autofill: true, wallet: wallet})
console.log("Offer result:")
console.dir(offer_result, {depth: null})
console.log("Offer balance changes summary:")
console.dir(xrpl.getBalanceChanges(offer_result.result.meta), {depth:null})
// Done.
client.disconnect()
} // End of main()