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Copyright ©2025 Dexorder LLC. All rights reserved.
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No license is provided. This source code is viewable for verification purposes only.
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85
README.md
85
README.md
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# Introduction
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[Liquidity Party](https://liquidity.party) is a new game-theoretic multi-asset AMM based on this research paper:
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[Logarithmic Market Scoring Rules for Modular Combinatorial Information Aggregation](https://mason.gmu.edu/~rhanson/mktscore.pdf) (R. Hanson, 2002)
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Our formulation and implementation is described in the [Liquidity Party whitepaper.](doc/whitepaper.md)
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A Logarithmic Market Scoring Rule (LMSR) is a pricing formula for AMM's that know only their current asset inventories
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and no other information, naturally supporting multi-asset pools.
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Compared to Constant Product markets, LMSR offers:
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1. Less slippage than Constant Product for small and medium trade sizes
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2. N-asset pools for trading long-tail pairs in a single hop
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3. Lower fees (smaller spread)
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## Deeper Liquidity
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According to game theory, the initial price slope of a Constant Product AMM is too steep, overcharging takers
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with too much slippage at small and medium trade sizes. LMSR pools offer less slippage and cheaper
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liquidity for the small and medium trade sizes used by real traders.
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## Multi-asset
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Naturally multi-asset, Liquidity Party altcoin pools provide direct, one-hop swaps on otherwise illiquid multi-hop pairs. Pools will quote any pair combination available in the pool:
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| Assets | Pairs | Swap Gas | Mint Gas |
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|-------:|------:|---------:|----------:|
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| 2 | 1 | 131,000 | 143,000 |
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| 2* | 1 | 118,000 | 143,000 |
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| 10 | 45 | 142,000 | 412,000 |
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| 20 | 190 | 157,000 | 749,000 |
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| 50 | 1225 | 199,000 | 1,760,000 |
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| 100 | 4950 | 269,000 | 2,684,000 |
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\* Stablecoin pair pool optimization
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Liquidity Party aggregates scarce, low market cap assets into a single pool, providing one-hop liquidity for exotic pairs without fragmenting LP assets. CP pools would need 190x the LP assets to provide the same pairwise liquidity as a single 20-asset Liquidity Party pool, due to asset fragmentation.
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## Lower Fees
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Since market makers offer the option to take either side of the market, they must receive a subsidy or charge a fee (spread) to compensate for adverse selection (impermanent loss). By protecting LP's against common value-extraction scenarios, LMSR pools have a reduced risk premium resulting in lower fees for takers.
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### Minimized Impermanent Loss
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All AMM's suffer from Impermanent Loss (IL), also known as adverse selection or toxic order flow. Liquidity
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Party uses game theory to minimize IL for LPs, by charging lower fees to small legitimate traders and
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higher fees to large adversarial traders during market dislocations. This means a higher effective rate
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for LP's and cheaper swaps for legitimate small traders.
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Liquidity Party swaps guarantee a bounded maximum loss to LP's of `κ\*S\*ln(N)` where `κ` is
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the pool's liquidity parameter, `S` is the total size of the pool, and `N` is the
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number of assets in the pool.
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### No Intra-Pool Arbitrage
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Other multi-asset systems can provide inconsistent price quotes, allowing arbitragers to
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extract value from LP's by _trading assets inside the same pool against each other._ With Liquidity
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Party, no intra-pool arbitrage is possible, because the mathematics guarantee fully consistent price
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quotes on all pairs in the pool.
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# Installation
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1. Install [Foundry](https://getfoundry.sh/) development framework.
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2. Update dependencies with `forge install`
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3. Run `bin/mock` to launch a test environment running under `anvil` on `localhost:8545`. The mock environment will create several example pools along with mock ERC20 tokens that can be minted by anyone in any amount.
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# Integration
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Deployment addresses for each chain may be found in `deployment/liqp-deployments.json`, and the `solc` output including ABI information is stored under `deployment/{chain_id}/v1/...`
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The primary entrypoint for all Liquidity Party actions is the [PartyPlanner](src/IPartyPlanner.sol) contract, which is a singleton per chain. The `PartyPlanner` contract not only deploys new pools but also indexes the pools and their tokens for easy metadata discovery. After a pool is created or discovered using the `PartyPlanner`, it can be used to perform swaps, minting, and other actions according to the [IPartyPool](src/IPartyPlanner.sol) interface. Due to contract size limitations, most view methods for prices and swaps are available from a separate singleton contract, the [PartyPoolViewer](src/IPartyPoolViewer.sol).
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# Implementation Notes
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## Non-upgradable Proxy
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Due to contract size constraints, the `PartyPool` contract uses `DELEGATECALL` to invoke implementations on the singleton [PartyPoolSwapImpl](src/PartyPoolSwapImpl.sol) and [PartyPoolMintImpl](src/PartyPoolMintImpl.sol) contracts. This proxy pattern is NOT upgradable and the implementation contract addresses used by the pool are immutable. Views implemented in `PartyPoolViewer` have no delegation but simply accept the target pool as an argument, calculating prices etc. from public getters.
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## Admin-Only Deployment
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`PartyPlanner` allows only the admin to deploy new pools. This decision was made because Liquidity Party is a new protocol that does not support non-standard tokens such as fee-on-transfer tokens or rebasing tokens, and the selection of the `kappa` liquidity parameter is not straightforward for an average user. We hope to offer a version of Liquidity Party in the future that allows regular users to create their pools.
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## Killable Contracts
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PartyPools may be "killed" by their admin, in which case all swaps and mints are disabled, and the only modifying function allowed to be called is `burn()` to allow LP's to safely withdraw their funds. Killing is irreversible and intended to be used as a last-ditch safety measure in case a critical vulnerablility is discovered.
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29
bin/mock
29
bin/mock
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# Dev account #4
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PRIVATE_KEY=0x47e179ec197488593b187f80a00eb0da91f1b9d0b13f8733639f19c30a34926a
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set -euo pipefail
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# Function to cleanup processes
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cleanup() {
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if [[ -n "${ANVIL_PID:-}" ]] && kill -0 "$ANVIL_PID" 2>/dev/null; then
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kill "$ANVIL_PID" 2>/dev/null || true
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sleep 0.2
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kill -9 "$ANVIL_PID" 2>/dev/null || true
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fi
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kill $ANVIL_PID 2>/dev/null
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}
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# Ensure cleanup on any exit
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err() {
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cleanup
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exit $1
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}
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# Set up trap to handle script exit
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trap cleanup EXIT
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# On Ctrl-C or TERM: exit immediately (will trigger EXIT trap -> cleanup)
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trap 'exit 130' INT
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trap 'exit 143' TERM
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# Create log directory if it doesn't exist
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mkdir -p log
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# Run anvil in background and redirect output to log file
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# shellcheck disable=SC2086
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anvil --disable-block-gas-limit | tee log/anvil.txt &
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anvil | tee log/anvil.txt &
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ANVIL_PID=$!
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# Function to check if string exists in file
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@@ -47,13 +43,14 @@ while ! check_string "Listening on" "log/anvil.txt"; do
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fi
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done
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forge script --private-key ${PRIVATE_KEY} DeployMock --fork-url http://localhost:8545 --broadcast "$@" || exit 1
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forge script --private-key ${PRIVATE_KEY} DeployMock --fork-url http://localhost:8545 --broadcast "$@" || err 1
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if [ "${1:-}" = "slow" ]; then
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if [ "$1" = "slow" ]; then
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echo "SLOW MODE: Setting mining mode to 12-second intervals."
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cast rpc evm_setIntervalMining 12
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fi
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echo "Press Ctrl+C to exit..."
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# Wait for the anvil process; Ctrl-C will interrupt 'wait' and trigger cleanup via traps
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wait "$ANVIL_PID"
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while true; do
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sleep 1
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done
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@@ -3,13 +3,6 @@
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CHAINID=11155111
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DEPLOY_SCRIPT=DeploySepolia
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if [ -f ".env-secret" ]; then
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echo "Reading environment from .env-secret"
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set -a
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source .env-secret
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set +a
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fi
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if [ -z "$SEPOLIA_RPC_URL" ]; then
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echo "Usage: SEPOLIA_RPC_URL environment variable must be set"
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exit 1
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@@ -1 +1 @@
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||||
{"abi":[{"type":"error","name":"AddressEmptyCode","inputs":[{"name":"target","type":"address","internalType":"address"}]}],"bytecode":{"object":"0x6080806040523460175760399081601c823930815050f35b5f80fdfe5f80fdfea2646970667358221220eb0570070fec78251db3fa24b17454c9bec7df5e60c2499d03d66c5c28208ff764736f6c634300081e0033","sourceMap":"282:6520:33:-:0;;;;;;;;;;;;;;;;;;;;;","linkReferences":{}},"deployedBytecode":{"object":"0x5f80fdfea2646970667358221220eb0570070fec78251db3fa24b17454c9bec7df5e60c2499d03d66c5c28208ff764736f6c634300081e0033","sourceMap":"282:6520:33:-:0;;","linkReferences":{}},"methodIdentifiers":{},"rawMetadata":"{\"compiler\":{\"version\":\"0.8.30+commit.73712a01\"},\"language\":\"Solidity\",\"output\":{\"abi\":[{\"inputs\":[{\"internalType\":\"address\",\"name\":\"target\",\"type\":\"address\"}],\"name\":\"AddressEmptyCode\",\"type\":\"error\"}],\"devdoc\":{\"details\":\"Collection of functions related to the address type\",\"errors\":{\"AddressEmptyCode(address)\":[{\"details\":\"There's no code at `target` (it is not a contract).\"}]},\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"lib/openzeppelin-contracts/contracts/utils/Address.sol\":\"Address\"},\"evmVersion\":\"prague\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":100000000},\"remappings\":[\":@abdk/=lib/abdk-libraries-solidity/\",\":@openzeppelin/=lib/openzeppelin-contracts/\",\":abdk-libraries-solidity/=lib/abdk-libraries-solidity/\",\":erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/\",\":forge-std/=lib/forge-std/src/\",\":halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/\",\":openzeppelin-contracts/=lib/openzeppelin-contracts/\"],\"viaIR\":true},\"sources\":{\"lib/openzeppelin-contracts/contracts/utils/Address.sol\":{\"keccak256\":\"0xd274645d15bb7e4fcb9c833e401b2c5837404f90057f11a49118f25e0af7c76f\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://d38e0b997bb7aebae26d190b03d0991feb0d204c45f945e60014e1ca9175de69\",\"dweb:/ipfs/QmWzsUHHAZcjMyF8uMDEtNpMTkYZdQrfvdKPobXvwVHKo6\"]},\"lib/openzeppelin-contracts/contracts/utils/Errors.sol\":{\"keccak256\":\"0x6afa713bfd42cf0f7656efa91201007ac465e42049d7de1d50753a373648c123\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://ba1d02f4847670a1b83dec9f7d37f0b0418d6043447b69f3a29a5f9efc547fcf\",\"dweb:/ipfs/QmQ7iH2keLNUKgq2xSWcRmuBE5eZ3F5whYAkAGzCNNoEWB\"]},\"lib/openzeppelin-contracts/contracts/utils/LowLevelCall.sol\":{\"keccak256\":\"0x50e81a8b089e3f382b6c915aa0166773de64ea4756e8f9479d9943a5f956ddf5\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://bfeb96a150537222e2191c03887127499a4f21dfb5f9a7211da4d81749b52848\",\"dweb:/ipfs/QmYR75ECbsBuxSiXmGvGfNKJRLoK5MdLUZL1bd8SixzxL4\"]}},\"version\":1}","metadata":{"compiler":{"version":"0.8.30+commit.73712a01"},"language":"Solidity","output":{"abi":[{"inputs":[{"internalType":"address","name":"target","type":"address"}],"type":"error","name":"AddressEmptyCode"}],"devdoc":{"kind":"dev","methods":{},"version":1},"userdoc":{"kind":"user","methods":{},"version":1}},"settings":{"remappings":["@abdk/=lib/abdk-libraries-solidity/","@openzeppelin/=lib/openzeppelin-contracts/","abdk-libraries-solidity/=lib/abdk-libraries-solidity/","erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/","forge-std/=lib/forge-std/src/","halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/","openzeppelin-contracts/=lib/openzeppelin-contracts/"],"optimizer":{"enabled":true,"runs":100000000},"metadata":{"bytecodeHash":"ipfs"},"compilationTarget":{"lib/openzeppelin-contracts/contracts/utils/Address.sol":"Address"},"evmVersion":"prague","libraries":{},"viaIR":true},"sources":{"lib/openzeppelin-contracts/contracts/utils/Address.sol":{"keccak256":"0xd274645d15bb7e4fcb9c833e401b2c5837404f90057f11a49118f25e0af7c76f","urls":["bzz-raw://d38e0b997bb7aebae26d190b03d0991feb0d204c45f945e60014e1ca9175de69","dweb:/ipfs/QmWzsUHHAZcjMyF8uMDEtNpMTkYZdQrfvdKPobXvwVHKo6"],"license":"MIT"},"lib/openzeppelin-contracts/contracts/utils/Errors.sol":{"keccak256":"0x6afa713bfd42cf0f7656efa91201007ac465e42049d7de1d50753a373648c123","urls":["bzz-raw://ba1d02f4847670a1b83dec9f7d37f0b0418d6043447b69f3a29a5f9efc547fcf","dweb:/ipfs/QmQ7iH2keLNUKgq2xSWcRmuBE5eZ3F5whYAkAGzCNNoEWB"],"license":"MIT"},"lib/openzeppelin-contracts/contracts/utils/LowLevelCall.sol":{"keccak256":"0x50e81a8b089e3f382b6c915aa0166773de64ea4756e8f9479d9943a5f956ddf5","urls":["bzz-raw://bfeb96a150537222e2191c03887127499a4f21dfb5f9a7211da4d81749b52848","dweb:/ipfs/QmYR75ECbsBuxSiXmGvGfNKJRLoK5MdLUZL1bd8SixzxL4"],"license":"MIT"}},"version":1},"id":33}
|
||||
@@ -1 +1 @@
|
||||
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||||
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||||
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@@ -1 +1 @@
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@@ -1 +1 @@
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{"abi":[{"type":"error","name":"ReentrancyGuardReentrantCall","inputs":[]}],"bytecode":{"object":"0x","sourceMap":"","linkReferences":{}},"deployedBytecode":{"object":"0x","sourceMap":"","linkReferences":{}},"methodIdentifiers":{},"rawMetadata":"{\"compiler\":{\"version\":\"0.8.30+commit.73712a01\"},\"language\":\"Solidity\",\"output\":{\"abi\":[{\"inputs\":[],\"name\":\"ReentrancyGuardReentrantCall\",\"type\":\"error\"}],\"devdoc\":{\"custom:stateless\":\"\",\"details\":\"Contract module that helps prevent reentrant calls to a function. Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier available, which can be applied to functions to make sure there are no nested (reentrant) calls to them. Note that because there is a single `nonReentrant` guard, functions marked as `nonReentrant` may not call one another. This can be worked around by making those functions `private`, and then adding `external` `nonReentrant` entry points to them. TIP: If EIP-1153 (transient storage) is available on the chain you're deploying at, consider using {ReentrancyGuardTransient} instead. TIP: If you would like to learn more about reentrancy and alternative ways to protect against it, check out our blog post https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul]. IMPORTANT: Deprecated. This storage-based reentrancy guard will be removed and replaced by the {ReentrancyGuardTransient} variant in v6.0.\",\"errors\":{\"ReentrancyGuardReentrantCall()\":[{\"details\":\"Unauthorized reentrant call.\"}]},\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol\":\"ReentrancyGuard\"},\"evmVersion\":\"prague\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":100000000},\"remappings\":[\":@abdk/=lib/abdk-libraries-solidity/\",\":@openzeppelin/=lib/openzeppelin-contracts/\",\":abdk-libraries-solidity/=lib/abdk-libraries-solidity/\",\":erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/\",\":forge-std/=lib/forge-std/src/\",\":halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/\",\":openzeppelin-contracts/=lib/openzeppelin-contracts/\"],\"viaIR\":true},\"sources\":{\"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol\":{\"keccak256\":\"0x6f9ed073e3dab12233a79cd85153f72c9e0f99c1f5512f6d5b1ef09fb46abbb0\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://093d2a804b792a0000883c2215585963ed98ec4341b45bc4224844623387d161\",\"dweb:/ipfs/QmR5shjVosAoxdmY3EfkUWgFNV4CVUcbRNS7tkvbipssPX\"]},\"lib/openzeppelin-contracts/contracts/utils/StorageSlot.sol\":{\"keccak256\":\"0xcf74f855663ce2ae00ed8352666b7935f6cddea2932fdf2c3ecd30a9b1cd0e97\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://9f660b1f351b757dfe01438e59888f31f33ded3afcf5cb5b0d9bf9aa6f320a8b\",\"dweb:/ipfs/QmarDJ5hZEgBtCmmrVzEZWjub9769eD686jmzb2XpSU1cM\"]}},\"version\":1}","metadata":{"compiler":{"version":"0.8.30+commit.73712a01"},"language":"Solidity","output":{"abi":[{"inputs":[],"type":"error","name":"ReentrancyGuardReentrantCall"}],"devdoc":{"kind":"dev","methods":{},"version":1},"userdoc":{"kind":"user","methods":{},"version":1}},"settings":{"remappings":["@abdk/=lib/abdk-libraries-solidity/","@openzeppelin/=lib/openzeppelin-contracts/","abdk-libraries-solidity/=lib/abdk-libraries-solidity/","erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/","forge-std/=lib/forge-std/src/","halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/","openzeppelin-contracts/=lib/openzeppelin-contracts/"],"optimizer":{"enabled":true,"runs":100000000},"metadata":{"bytecodeHash":"ipfs"},"compilationTarget":{"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol":"ReentrancyGuard"},"evmVersion":"prague","libraries":{},"viaIR":true},"sources":{"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol":{"keccak256":"0x6f9ed073e3dab12233a79cd85153f72c9e0f99c1f5512f6d5b1ef09fb46abbb0","urls":["bzz-raw://093d2a804b792a0000883c2215585963ed98ec4341b45bc4224844623387d161","dweb:/ipfs/QmR5shjVosAoxdmY3EfkUWgFNV4CVUcbRNS7tkvbipssPX"],"license":"MIT"},"lib/openzeppelin-contracts/contracts/utils/StorageSlot.sol":{"keccak256":"0xcf74f855663ce2ae00ed8352666b7935f6cddea2932fdf2c3ecd30a9b1cd0e97","urls":["bzz-raw://9f660b1f351b757dfe01438e59888f31f33ded3afcf5cb5b0d9bf9aa6f320a8b","dweb:/ipfs/QmarDJ5hZEgBtCmmrVzEZWjub9769eD686jmzb2XpSU1cM"],"license":"MIT"}},"version":1},"id":31}
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{"abi":[{"type":"error","name":"ReentrancyGuardReentrantCall","inputs":[]}],"bytecode":{"object":"0x","sourceMap":"","linkReferences":{}},"deployedBytecode":{"object":"0x","sourceMap":"","linkReferences":{}},"methodIdentifiers":{},"rawMetadata":"{\"compiler\":{\"version\":\"0.8.30+commit.73712a01\"},\"language\":\"Solidity\",\"output\":{\"abi\":[{\"inputs\":[],\"name\":\"ReentrancyGuardReentrantCall\",\"type\":\"error\"}],\"devdoc\":{\"custom:stateless\":\"\",\"details\":\"Contract module that helps prevent reentrant calls to a function. Inheriting from `ReentrancyGuard` will make the {nonReentrant} modifier available, which can be applied to functions to make sure there are no nested (reentrant) calls to them. Note that because there is a single `nonReentrant` guard, functions marked as `nonReentrant` may not call one another. This can be worked around by making those functions `private`, and then adding `external` `nonReentrant` entry points to them. TIP: If EIP-1153 (transient storage) is available on the chain you're deploying at, consider using {ReentrancyGuardTransient} instead. TIP: If you would like to learn more about reentrancy and alternative ways to protect against it, check out our blog post https://blog.openzeppelin.com/reentrancy-after-istanbul/[Reentrancy After Istanbul]. IMPORTANT: Deprecated. This storage-based reentrancy guard will be removed and replaced by the {ReentrancyGuardTransient} variant in v6.0.\",\"errors\":{\"ReentrancyGuardReentrantCall()\":[{\"details\":\"Unauthorized reentrant call.\"}]},\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol\":\"ReentrancyGuard\"},\"evmVersion\":\"prague\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":100000000},\"remappings\":[\":@abdk/=lib/abdk-libraries-solidity/\",\":@openzeppelin/=lib/openzeppelin-contracts/\",\":abdk-libraries-solidity/=lib/abdk-libraries-solidity/\",\":erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/\",\":forge-std/=lib/forge-std/src/\",\":halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/\",\":openzeppelin-contracts/=lib/openzeppelin-contracts/\"],\"viaIR\":true},\"sources\":{\"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol\":{\"keccak256\":\"0x6f9ed073e3dab12233a79cd85153f72c9e0f99c1f5512f6d5b1ef09fb46abbb0\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://093d2a804b792a0000883c2215585963ed98ec4341b45bc4224844623387d161\",\"dweb:/ipfs/QmR5shjVosAoxdmY3EfkUWgFNV4CVUcbRNS7tkvbipssPX\"]},\"lib/openzeppelin-contracts/contracts/utils/StorageSlot.sol\":{\"keccak256\":\"0xcf74f855663ce2ae00ed8352666b7935f6cddea2932fdf2c3ecd30a9b1cd0e97\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://9f660b1f351b757dfe01438e59888f31f33ded3afcf5cb5b0d9bf9aa6f320a8b\",\"dweb:/ipfs/QmarDJ5hZEgBtCmmrVzEZWjub9769eD686jmzb2XpSU1cM\"]}},\"version\":1}","metadata":{"compiler":{"version":"0.8.30+commit.73712a01"},"language":"Solidity","output":{"abi":[{"inputs":[],"type":"error","name":"ReentrancyGuardReentrantCall"}],"devdoc":{"kind":"dev","methods":{},"version":1},"userdoc":{"kind":"user","methods":{},"version":1}},"settings":{"remappings":["@abdk/=lib/abdk-libraries-solidity/","@openzeppelin/=lib/openzeppelin-contracts/","abdk-libraries-solidity/=lib/abdk-libraries-solidity/","erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/","forge-std/=lib/forge-std/src/","halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/","openzeppelin-contracts/=lib/openzeppelin-contracts/"],"optimizer":{"enabled":true,"runs":100000000},"metadata":{"bytecodeHash":"ipfs"},"compilationTarget":{"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol":"ReentrancyGuard"},"evmVersion":"prague","libraries":{},"viaIR":true},"sources":{"lib/openzeppelin-contracts/contracts/utils/ReentrancyGuard.sol":{"keccak256":"0x6f9ed073e3dab12233a79cd85153f72c9e0f99c1f5512f6d5b1ef09fb46abbb0","urls":["bzz-raw://093d2a804b792a0000883c2215585963ed98ec4341b45bc4224844623387d161","dweb:/ipfs/QmR5shjVosAoxdmY3EfkUWgFNV4CVUcbRNS7tkvbipssPX"],"license":"MIT"},"lib/openzeppelin-contracts/contracts/utils/StorageSlot.sol":{"keccak256":"0xcf74f855663ce2ae00ed8352666b7935f6cddea2932fdf2c3ecd30a9b1cd0e97","urls":["bzz-raw://9f660b1f351b757dfe01438e59888f31f33ded3afcf5cb5b0d9bf9aa6f320a8b","dweb:/ipfs/QmarDJ5hZEgBtCmmrVzEZWjub9769eD686jmzb2XpSU1cM"],"license":"MIT"}},"version":1},"id":37}
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@@ -1 +1 @@
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||||
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|
||||
{"abi":[],"bytecode":{"object":"0x6080806040523460175760399081601c823930815050f35b5f80fdfe5f80fdfea2646970667358221220709c8134992b5fef4e2bf94b521207862a1126f22dcc0c41899199d76b8ca7c164736f6c634300081e0033","sourceMap":"163:427371:15:-:0;;;;;;;;;;;;;;;;;;;;;","linkReferences":{}},"deployedBytecode":{"object":"0x5f80fdfea2646970667358221220709c8134992b5fef4e2bf94b521207862a1126f22dcc0c41899199d76b8ca7c164736f6c634300081e0033","sourceMap":"163:427371:15:-:0;;","linkReferences":{}},"methodIdentifiers":{},"rawMetadata":"{\"compiler\":{\"version\":\"0.8.30+commit.73712a01\"},\"language\":\"Solidity\",\"output\":{\"abi\":[],\"devdoc\":{\"author\":\"philogy <https://github.com/philogy>\",\"details\":\"Code generated automatically by script.\",\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"lib/forge-std/src/safeconsole.sol\":\"safeconsole\"},\"evmVersion\":\"prague\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":100000000},\"remappings\":[\":@abdk/=lib/abdk-libraries-solidity/\",\":@openzeppelin/=lib/openzeppelin-contracts/\",\":abdk-libraries-solidity/=lib/abdk-libraries-solidity/\",\":erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/\",\":forge-std/=lib/forge-std/src/\",\":halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/\",\":openzeppelin-contracts/=lib/openzeppelin-contracts/\"],\"viaIR\":true},\"sources\":{\"lib/forge-std/src/safeconsole.sol\":{\"keccak256\":\"0xbef9786cb49d3eade757bad87568c49c8c8f35721f0193c95ffb055d9e466e11\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://3bafd2b0b2d28068d329f95ea8a1fbce3719c257fcb863fc01abcbafd8d531ab\",\"dweb:/ipfs/QmUeaFjKWTVDBsHVfSob4mwt6A5hTnKDz22HaUXeZhypa3\"]}},\"version\":1}","metadata":{"compiler":{"version":"0.8.30+commit.73712a01"},"language":"Solidity","output":{"abi":[],"devdoc":{"kind":"dev","methods":{},"version":1},"userdoc":{"kind":"user","methods":{},"version":1}},"settings":{"remappings":["@abdk/=lib/abdk-libraries-solidity/","@openzeppelin/=lib/openzeppelin-contracts/","abdk-libraries-solidity/=lib/abdk-libraries-solidity/","erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/","forge-std/=lib/forge-std/src/","halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/","openzeppelin-contracts/=lib/openzeppelin-contracts/"],"optimizer":{"enabled":true,"runs":100000000},"metadata":{"bytecodeHash":"ipfs"},"compilationTarget":{"lib/forge-std/src/safeconsole.sol":"safeconsole"},"evmVersion":"prague","libraries":{},"viaIR":true},"sources":{"lib/forge-std/src/safeconsole.sol":{"keccak256":"0xbef9786cb49d3eade757bad87568c49c8c8f35721f0193c95ffb055d9e466e11","urls":["bzz-raw://3bafd2b0b2d28068d329f95ea8a1fbce3719c257fcb863fc01abcbafd8d531ab","dweb:/ipfs/QmUeaFjKWTVDBsHVfSob4mwt6A5hTnKDz22HaUXeZhypa3"],"license":"MIT"}},"version":1},"id":15}
|
||||
{"abi":[],"bytecode":{"object":"0x6080806040523460175760399081601c823930815050f35b5f80fdfe5f80fdfea2646970667358221220709c8134992b5fef4e2bf94b521207862a1126f22dcc0c41899199d76b8ca7c164736f6c634300081e0033","sourceMap":"163:427371:20:-:0;;;;;;;;;;;;;;;;;;;;;","linkReferences":{}},"deployedBytecode":{"object":"0x5f80fdfea2646970667358221220709c8134992b5fef4e2bf94b521207862a1126f22dcc0c41899199d76b8ca7c164736f6c634300081e0033","sourceMap":"163:427371:20:-:0;;","linkReferences":{}},"methodIdentifiers":{},"rawMetadata":"{\"compiler\":{\"version\":\"0.8.30+commit.73712a01\"},\"language\":\"Solidity\",\"output\":{\"abi\":[],\"devdoc\":{\"author\":\"philogy <https://github.com/philogy>\",\"details\":\"Code generated automatically by script.\",\"kind\":\"dev\",\"methods\":{},\"version\":1},\"userdoc\":{\"kind\":\"user\",\"methods\":{},\"version\":1}},\"settings\":{\"compilationTarget\":{\"lib/forge-std/src/safeconsole.sol\":\"safeconsole\"},\"evmVersion\":\"prague\",\"libraries\":{},\"metadata\":{\"bytecodeHash\":\"ipfs\"},\"optimizer\":{\"enabled\":true,\"runs\":100000000},\"remappings\":[\":@abdk/=lib/abdk-libraries-solidity/\",\":@openzeppelin/=lib/openzeppelin-contracts/\",\":abdk-libraries-solidity/=lib/abdk-libraries-solidity/\",\":erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/\",\":forge-std/=lib/forge-std/src/\",\":halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/\",\":openzeppelin-contracts/=lib/openzeppelin-contracts/\"],\"viaIR\":true},\"sources\":{\"lib/forge-std/src/safeconsole.sol\":{\"keccak256\":\"0xbef9786cb49d3eade757bad87568c49c8c8f35721f0193c95ffb055d9e466e11\",\"license\":\"MIT\",\"urls\":[\"bzz-raw://3bafd2b0b2d28068d329f95ea8a1fbce3719c257fcb863fc01abcbafd8d531ab\",\"dweb:/ipfs/QmUeaFjKWTVDBsHVfSob4mwt6A5hTnKDz22HaUXeZhypa3\"]}},\"version\":1}","metadata":{"compiler":{"version":"0.8.30+commit.73712a01"},"language":"Solidity","output":{"abi":[],"devdoc":{"kind":"dev","methods":{},"version":1},"userdoc":{"kind":"user","methods":{},"version":1}},"settings":{"remappings":["@abdk/=lib/abdk-libraries-solidity/","@openzeppelin/=lib/openzeppelin-contracts/","abdk-libraries-solidity/=lib/abdk-libraries-solidity/","erc4626-tests/=lib/openzeppelin-contracts/lib/erc4626-tests/","forge-std/=lib/forge-std/src/","halmos-cheatcodes/=lib/openzeppelin-contracts/lib/halmos-cheatcodes/src/","openzeppelin-contracts/=lib/openzeppelin-contracts/"],"optimizer":{"enabled":true,"runs":100000000},"metadata":{"bytecodeHash":"ipfs"},"compilationTarget":{"lib/forge-std/src/safeconsole.sol":"safeconsole"},"evmVersion":"prague","libraries":{},"viaIR":true},"sources":{"lib/forge-std/src/safeconsole.sol":{"keccak256":"0xbef9786cb49d3eade757bad87568c49c8c8f35721f0193c95ffb055d9e466e11","urls":["bzz-raw://3bafd2b0b2d28068d329f95ea8a1fbce3719c257fcb863fc01abcbafd8d531ab","dweb:/ipfs/QmUeaFjKWTVDBsHVfSob4mwt6A5hTnKDz22HaUXeZhypa3"],"license":"MIT"}},"version":1},"id":20}
|
||||
@@ -1,12 +1,12 @@
|
||||
{
|
||||
"11155111": {
|
||||
"v1": {
|
||||
"PartyPlanner": "0x081aA8AB1984680087c01a5Cd50fC9f49742434D",
|
||||
"PartyPoolViewer": "0x9Ca11d7D5552a93f691614137e1eA1Ec4BD369dC",
|
||||
"PartyPoolMintImpl": "0xfB6a25060F003793B037411C45408bD1852C2753",
|
||||
"PartyPoolSwapImpl": "0x9f5d0a1B0B658B06CBF16A6a518162A5ED1D7BF2",
|
||||
"PartyPoolDeployer": "0x18F1B202C85f7d4a02758284d1A2333E5070C3C0",
|
||||
"PartyPoolBalancedPairDeployer": "0xc147fa7928d96D9968671d8EC1cB7d49F9d31dC1",
|
||||
"PartyPlanner": "0x0ad06C08ab5049e6Fd4d7f5AF457115A1475326b",
|
||||
"PartyPoolViewer": "0x750d63a39a4ccfCfB69D2f5aFDa065909C717cAB",
|
||||
"PartyPoolMintImpl": "0x25bb10BA84944F8aAEf1fD247C3B7Fe7271C23F9",
|
||||
"PartyPoolSwapImpl": "0x69b4F102e0747f61F8529b3bbFf2FC4b27438d0F",
|
||||
"PartyPoolDeployer": "0x0939F93BAa3c96226853F9F39A95beF48eA8fF04",
|
||||
"PartyPoolBalancedPairDeployer": "0xfda454fF7876aad9408517Ed2F0d11AA229Ad0a4",
|
||||
"USXD": "0x8E4D16886b8946dfE463fA172129eaBf4825fb09",
|
||||
"FUSD": "0xdc225280216822CA956738390f589c794129bd53",
|
||||
"DIVE": "0x7ba123e4e7395A361284d069bD0D545F3f820641",
|
||||
|
||||
47
doc/introduction.md
Normal file
47
doc/introduction.md
Normal file
@@ -0,0 +1,47 @@
|
||||
# Introduction
|
||||
|
||||
[Liquidity Party](https://liquidity.party) is a new game-theoretic multi-asset AMM based on this paper:
|
||||
|
||||
[Logarithmic Market Scoring Rules for Modular Combinatorial Information Aggregation](https://mason.gmu.edu/~rhanson/mktscore.pdf) (R. Hanson, 2002)
|
||||
|
||||
A Logarithmic Market Scoring Rule (LMSR) is a pricing formula for AMM's that know only their current asset inventories and no other information, naturally supporting multi-asset
|
||||
|
||||
Compared to Constant Product (CP) markets, LMSR offers:
|
||||
|
||||
1. Less slippage than CP for small and medium trade sizes
|
||||
2. N-asset pools for trading long-tail pairs in a single hop
|
||||
3. Lower fees (smaller spread)
|
||||
|
||||
|
||||
## Deeper Liquidity
|
||||
|
||||
According to game theory, CP's slope at the current marginal price is too steep, overcharging takers with too much slippage at small and medium trade sizes. LMSR pools offer less slippage and cheaper liquidity for the small and medium trade sizes common for arbitrageurs and aggregators.
|
||||
|
||||
|
||||
## Multi-asset
|
||||
|
||||
Naturally multi-asset, Liquidity Party altcoin pools provide direct, one-hop swaps on otherwise illiquid multi-hop pairs. Pools will quote any pair combination available in the pool:
|
||||
|
||||
| Assets | Pairs | Swap Gas | Mint Gas |
|
||||
|-------:|------:|---------:|----------:|
|
||||
| 2 | 1 | 131,000 | 143,000 |
|
||||
| 2* | 1 | 118,000 | 143,000 |
|
||||
| 10 | 45 | 142,000 | 412,000 |
|
||||
| 20 | 190 | 157,000 | 749,000 |
|
||||
| 50 | 1225 | 199,000 | 1,760,000 |
|
||||
| 100 | 4950 | 269,000 | 2,684,000 |
|
||||
|
||||
\* Stablecoin pair pool optimization
|
||||
|
||||
Liquidity Party aggregates scarce, low market cap assets into a single pool, providing one-hop liquidity for exotic pairs without fragmenting LP assets. CP pools would need 190x the LP assets to provide the same pairwise liquidity as a single 20-asset Liquidity Party pool, due to asset fragmentation.
|
||||
|
||||
## Lower Fees
|
||||
|
||||
Since market makers offer the option to take either side of the market, they must receive a subsidy or charge a fee (spread) to compensate for adverse selection (impermanent loss). By protecting LP's against common value-extraction scenarios, LMSR pools have a reduced risk premium resulting in lower fees for takers.
|
||||
|
||||
### Minimized Impermanent Loss
|
||||
|
||||
### No Intra-Pool Arbitrage
|
||||
|
||||
LMSR
|
||||
This leads to LP's of CP pools demanding higher fees than theoretically necessary. By minimizing impermanent loss for LP's, LMSR pools reduce the risk premium, providing lower fees and higher liquidity for takers.
|
||||
@@ -7,6 +7,7 @@ import numpy as np
|
||||
|
||||
log = logging.getLogger(__name__)
|
||||
|
||||
LMSR_FEE = 0.0025
|
||||
# UNISWAP_GAS=0
|
||||
# LMSR_GAS=0
|
||||
UNISWAP_GAS=115_000
|
||||
@@ -179,66 +180,31 @@ def lmsr_marginal_price(balances, base_index, quote_index, kappa):
|
||||
|
||||
|
||||
|
||||
def compare(file, tvl, fee, kappa):
|
||||
def compare(file, tvl, kappa):
|
||||
d = pd.read_csv(file)
|
||||
d.columns = ['block', 'price0', 'price1', 'in0', 'out0', 'rate']
|
||||
|
||||
# New approach: derive bases from initial external balances (assuming equal-valued deposits)
|
||||
# This matches the Solidity implementation and eliminates the κ·ln(price) constraint
|
||||
# Calibrate LMSR balances so that exp((q1 - q0)/b) equals the initial price
|
||||
p0 = float(d.iloc[0].price0)
|
||||
|
||||
# Set external balances assuming equal values: if token0 = B0 and token1 = B1,
|
||||
# and they have equal value, then B0 * price0 = B1 * price1 = V (value per asset)
|
||||
# For simplicity, choose B0 such that the total value is tvl, then B1 = B0 * price0
|
||||
total_value = float(tvl)
|
||||
# Since B0 * price0 + B1 = total_value and B1 = B0 * price0, we get:
|
||||
# B0 * price0 + B0 * price0 = total_value, so B0 = total_value / (2 * price0)
|
||||
B0 = total_value / (2.0 * p0) # external balance of token 0
|
||||
B1 = B0 * p0 # external balance of token 1 (equal value)
|
||||
|
||||
external_balances = [B0, B1]
|
||||
|
||||
# Derive bases: set base_i = B_i so that q_i = B_i / base_i = 1.0 internally
|
||||
bases = [B0, B1]
|
||||
|
||||
# Internal balances: q_i = external_balance_i / base_i ≈ 1.0
|
||||
q0 = B0 / bases[0] # ≈ 1.0
|
||||
q1 = B1 / bases[1] # ≈ 1.0
|
||||
|
||||
S = float(tvl) # choose the LMSR size metric
|
||||
b = kappa * S
|
||||
delta = b * math.log(p0) # q1 - q0
|
||||
q0 = 0.5 * (S - delta)
|
||||
q1 = 0.5 * (S + delta)
|
||||
if q0 <= 0.0 or q1 <= 0.0:
|
||||
raise ValueError("Invalid LMSR calibration: choose kappa such that kappa * ln(price0) < 1.")
|
||||
balances = [q0, q1]
|
||||
print(f"External balances: {external_balances}")
|
||||
print(f"Bases: {bases}")
|
||||
print(f"Internal balances: {balances}")
|
||||
# Convert external input amounts to internal for LMSR calculations, then convert results back
|
||||
print(balances)
|
||||
X = np.geomspace(1, 1_000_000, 100)
|
||||
orig_price = lmsr_marginal_price(balances, 0, 1, kappa)
|
||||
|
||||
# Convert X to internal amounts, compute swap, then convert back to external
|
||||
in_out = []
|
||||
for amount_in_external in X:
|
||||
# Convert external input to internal units
|
||||
amount_in_internal = amount_in_external / bases[0] # input token 0
|
||||
|
||||
# Compute swap in internal units
|
||||
amount_out_internal = lmsr_swap_amount_out(balances, amount_in_internal, 0, 1, fee, kappa)
|
||||
|
||||
# Convert output back to external units
|
||||
amount_out_external = amount_out_internal * bases[1] # output token 1
|
||||
|
||||
in_out.append((float(amount_in_external), float(amount_out_external)))
|
||||
|
||||
print(f"Sample internal/external conversions: {in_out[:3]}")
|
||||
|
||||
# Compute initial marginal price in external units
|
||||
# Internal price is exp((q1 - q0)/b), external price needs conversion by bases[1]/bases[0]
|
||||
orig_price_external = orig_price * (bases[1] / bases[0])
|
||||
|
||||
in_out = [(float(amount_in), lmsr_swap_amount_out(balances, float(amount_in), 0, 1, LMSR_FEE, kappa)) for amount_in in X]
|
||||
print(in_out)
|
||||
# Relative execution price deviation from the initial marginal price:
|
||||
# slippage = |(amount_out/amount_in)/orig_price_external - 1|
|
||||
# slippage = |(amount_out/amount_in)/orig_price - 1|
|
||||
eps = 1e-12
|
||||
Y = [max(eps, abs((amount_out / amount_in) / orig_price_external - 1.0))
|
||||
Y = [max(eps, abs((amount_out / amount_in) / orig_price - 1.0))
|
||||
for amount_in, amount_out in in_out]
|
||||
plt.plot(X, Y, label=f'LMSR {fee:.2%} κ={kappa:.2g}', color='cornflowerblue')
|
||||
plt.plot(X, Y, label=f'LMSR {LMSR_FEE:.2%} κ={kappa:.2f}', color='cornflowerblue')
|
||||
|
||||
# Uniswap execution price deviation from its initial quoted price:
|
||||
# slippage = |(out/in)/initial_price - 1|
|
||||
@@ -291,6 +257,6 @@ def plot_kappa():
|
||||
|
||||
if __name__ == '__main__':
|
||||
# compare('uni4_quotes/swap_results_block_23640998.csv')
|
||||
compare('uni4_quotes/ETH-USDC-30.csv', 53_000_000, 0.0025, 0.00025)
|
||||
# compare('uni4_quotes/ETH-USDC-30.csv', 100_000, 0.0025, 0.00025)
|
||||
# compare('uni4_quotes/ETH-USDC-30.csv', 53_000_000, 0.1)
|
||||
compare('uni4_quotes/ETH-USDC-30.csv', 1_00_000, .1)
|
||||
# plot_kappa()
|
||||
|
||||
@@ -67,6 +67,7 @@ contract DeployMock is Script {
|
||||
'Token Pool',
|
||||
'TP',
|
||||
tokens,
|
||||
_bases,
|
||||
ABDKMath64x64.divu(1, 10),
|
||||
ABDKMath64x64.divu(1,10000),
|
||||
_feePpm,
|
||||
@@ -111,6 +112,7 @@ contract DeployMock is Script {
|
||||
'Stablecoin Pool',
|
||||
'STAP',
|
||||
IERC20[](tokens),
|
||||
_bases,
|
||||
ABDKMath64x64.divu(1, 10),
|
||||
ABDKMath64x64.divu(1,10000),
|
||||
_feePpm,
|
||||
@@ -152,6 +154,7 @@ contract DeployMock is Script {
|
||||
'Stable Pair',
|
||||
'SPAIR',
|
||||
IERC20[](tokens),
|
||||
_bases,
|
||||
ABDKMath64x64.divu(8,10), // kappa = 0.8
|
||||
_feePpm,
|
||||
_feePpm,
|
||||
|
||||
@@ -22,16 +22,11 @@ contract DeploySepolia is Script {
|
||||
vm.startBroadcast();
|
||||
|
||||
// create mock _tokens
|
||||
// usxd = new MockERC20('Joke Currency', 'USXD', 6);
|
||||
// fusd = new MockERC20('Fake USD', 'FUSD', 6);
|
||||
// dive = new MockERC20('DAI Virtually Equal', 'DIVE', 18);
|
||||
// butc = new MockERC20('Buttcoin', 'BUTC', 8);
|
||||
// wteth = new MockERC20('Wrapped TETH', 'WTETH', 18);
|
||||
usxd = MockERC20(0x8E4D16886b8946dfE463fA172129eaBf4825fb09);
|
||||
fusd = MockERC20(0xdc225280216822CA956738390f589c794129bd53);
|
||||
dive = MockERC20(0x7ba123e4e7395A361284d069bD0D545F3f820641);
|
||||
butc = MockERC20(0x88125947BBF1A6dd0FeD4B257BB3f9E1FBdCb3Cc);
|
||||
wteth = MockERC20(0xC8dB65C0B9f4cf59097d4C5Bcb9e8E92B9e4e15F);
|
||||
usxd = new MockERC20('Joke Currency', 'USXD', 6);
|
||||
fusd = new MockERC20('Fake USD', 'FUSD', 6);
|
||||
dive = new MockERC20('DAI Virtually Equal', 'DIVE', 18);
|
||||
butc = new MockERC20('Buttcoin', 'BUTC', 8);
|
||||
wteth = new MockERC20('Wrapped TETH', 'WTETH', 18);
|
||||
|
||||
PartyPoolSwapImpl swapImpl = new PartyPoolSwapImpl(WETH);
|
||||
PartyPoolMintImpl mintImpl = new PartyPoolMintImpl(WETH);
|
||||
@@ -81,6 +76,7 @@ contract DeploySepolia is Script {
|
||||
'Token Pool',
|
||||
'TP',
|
||||
tokens,
|
||||
_bases,
|
||||
ABDKMath64x64.divu(1, 10),
|
||||
ABDKMath64x64.divu(1,10000),
|
||||
_feePpm,
|
||||
@@ -125,6 +121,7 @@ contract DeploySepolia is Script {
|
||||
'Stablecoin Pool',
|
||||
'STAP',
|
||||
tokens,
|
||||
_bases,
|
||||
ABDKMath64x64.divu(1, 10),
|
||||
ABDKMath64x64.divu(1,10000),
|
||||
_feePpm,
|
||||
@@ -166,6 +163,7 @@ contract DeploySepolia is Script {
|
||||
'Stable Pair',
|
||||
'SPAIR',
|
||||
tokens,
|
||||
_bases,
|
||||
ABDKMath64x64.divu(8,10), // kappa = 0.8
|
||||
_feePpm,
|
||||
_feePpm,
|
||||
@@ -180,7 +178,7 @@ contract DeploySepolia is Script {
|
||||
PartyPoolViewer viewer = new PartyPoolViewer(swapImpl, mintImpl);
|
||||
|
||||
// give tokens to msg.sender for later use
|
||||
// mintAll(msg.sender, 1_000_000);
|
||||
mintAll(msg.sender, 1_000_000);
|
||||
|
||||
vm.stopBroadcast();
|
||||
|
||||
|
||||
@@ -18,6 +18,7 @@ interface IPartyPlanner is IOwnable {
|
||||
/// @param name LP token name
|
||||
/// @param symbol LP token symbol
|
||||
/// @param tokens token addresses (n)
|
||||
/// @param bases scaling bases for each token (n) - used when converting to/from internal 64.64 amounts
|
||||
/// @param tradeFrac trade fraction in 64.64 fixed-point (as used by LMSR)
|
||||
/// @param targetSlippage target slippage in 64.64 fixed-point (as used by LMSR)
|
||||
/// @param swapFeePpm fee in parts-per-million, taken from swap input amounts before LMSR calculations
|
||||
@@ -34,6 +35,7 @@ interface IPartyPlanner is IOwnable {
|
||||
string memory name,
|
||||
string memory symbol,
|
||||
IERC20[] memory tokens,
|
||||
uint256[] memory bases,
|
||||
int128 tradeFrac,
|
||||
int128 targetSlippage,
|
||||
uint256 swapFeePpm,
|
||||
@@ -51,6 +53,7 @@ interface IPartyPlanner is IOwnable {
|
||||
/// @param name LP token name
|
||||
/// @param symbol LP token symbol
|
||||
/// @param tokens token addresses (n)
|
||||
/// @param bases scaling bases for each token (n) - used when converting to/from internal 64.64 amounts
|
||||
/// @param kappa liquidity parameter κ in 64.64 fixed-point used to derive b = κ * S(q)
|
||||
/// @param swapFeePpm fee in parts-per-million, taken from swap input amounts before LMSR calculations
|
||||
/// @param flashFeePpm fee in parts-per-million, taken for flash loans
|
||||
@@ -66,6 +69,7 @@ interface IPartyPlanner is IOwnable {
|
||||
string memory name,
|
||||
string memory symbol,
|
||||
IERC20[] memory tokens,
|
||||
uint256[] memory bases,
|
||||
int128 kappa,
|
||||
uint256 swapFeePpm,
|
||||
uint256 flashFeePpm,
|
||||
|
||||
@@ -117,9 +117,9 @@ interface IPartyPool is IERC20Metadata, IOwnable {
|
||||
/// @notice Callable by anyone, sends any owed protocol fees to the protocol fee address.
|
||||
function collectProtocolFees() external;
|
||||
|
||||
/// @notice Liquidity parameter κ (Q64.64) used by the LMSR kernel: b = κ * S(q)
|
||||
/// @dev Pools are constructed with a κ value; this getter exposes the κ used by the pool.
|
||||
function kappa() external view returns (int128);
|
||||
/// @notice Fixed LMSR curvature parameter b (Q64.64) Larger values allow more liquidity to be taken with less price impact.
|
||||
/// @dev Pools are constructed with a fixed b; this getter exposes the b used by the pool.
|
||||
function bFixed() external view returns (int128);
|
||||
|
||||
/// @notice If a security problem is found, the vault owner may call this function to permanently disable swap and
|
||||
/// mint functionality, leaving only burns (withdrawals) working.
|
||||
|
||||
@@ -13,7 +13,7 @@ library LMSRStabilized {
|
||||
|
||||
struct State {
|
||||
uint256 nAssets;
|
||||
int128 kappa; // liquidity parameter κ (64.64 fixed point)
|
||||
int128 bFixed; // fixed b curvature (Q64.64)
|
||||
int128[] qInternal; // cached internal balances in 64.64 fixed-point format
|
||||
}
|
||||
|
||||
@@ -26,11 +26,10 @@ library LMSRStabilized {
|
||||
function init(
|
||||
State storage s,
|
||||
int128[] memory initialQInternal,
|
||||
int128 kappa
|
||||
int128 bFixed
|
||||
) internal {
|
||||
s.nAssets = initialQInternal.length;
|
||||
|
||||
// Initialize qInternal cache
|
||||
if (s.qInternal.length != initialQInternal.length) {
|
||||
s.qInternal = new int128[](initialQInternal.length);
|
||||
}
|
||||
@@ -42,9 +41,73 @@ library LMSRStabilized {
|
||||
int128 total = _computeSizeMetric(s.qInternal);
|
||||
require(total > int128(0), "LMSR: total zero");
|
||||
|
||||
// Set kappa directly (caller provides kappa)
|
||||
s.kappa = kappa;
|
||||
require(s.kappa > int128(0), "LMSR: kappa>0");
|
||||
require(bFixed > int128(0), "LMSR: b<=0");
|
||||
s.bFixed = bFixed;
|
||||
}
|
||||
|
||||
/* --------------------
|
||||
Virtual offset helpers (pure) for initialization
|
||||
-------------------- */
|
||||
|
||||
/// @notice Compute per-asset virtual offsets v so that the initial marginal price between `base` and `quote`
|
||||
/// equals `targetPrice` (Q64.64). Returns an array v with v_base and v_quote adjusted and others zero.
|
||||
/// @dev Given reserves r, we want s = r + v with s_quote - s_base = b * ln(targetPrice).
|
||||
/// Let deltaDesired = b*ln(targetPrice), deltaCurrent = r_quote - r_base, then
|
||||
/// let adj = deltaDesired - deltaCurrent; choose v_base = -adj/2, v_quote = adj/2, others 0.
|
||||
function computeOffsetsForPricePair(
|
||||
int128 b,
|
||||
int128[] memory reservesInternal,
|
||||
uint256 baseIndex,
|
||||
uint256 quoteIndex,
|
||||
int128 targetPrice
|
||||
) internal pure returns (int128[] memory vOffsets) {
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
uint256 n = reservesInternal.length;
|
||||
require(baseIndex < n && quoteIndex < n, "LMSR: idx");
|
||||
|
||||
vOffsets = new int128[](n);
|
||||
|
||||
// adj = b * ln(targetPrice) - (r_quote - r_base)
|
||||
int128 deltaDesired = b.mul(_ln(targetPrice));
|
||||
int128 deltaCurrent = reservesInternal[quoteIndex].sub(reservesInternal[baseIndex]);
|
||||
int128 adj = deltaDesired.sub(deltaCurrent);
|
||||
|
||||
int128 two = ABDKMath64x64.fromUInt(2);
|
||||
// v_base = -adj/2; v_quote = adj/2
|
||||
vOffsets[baseIndex] = adj.neg().div(two);
|
||||
vOffsets[quoteIndex] = adj.div(two);
|
||||
return vOffsets;
|
||||
}
|
||||
|
||||
/// @notice Compute per-asset virtual offsets v to match a vector of relative log-prices (Q64.64).
|
||||
/// @dev logPrices[i] should represent ln(p_i / p_ref) for a chosen reference asset ref (e.g., ref = 0 => logPrices[0] = 0).
|
||||
/// We set v_0 = 0 and for i>0 require (v_i - v_0) = b*(logPrices[i] - logPrices[0]) - (r_i - r_0).
|
||||
/// Note: adding a constant to all v does not change prices; callers may shift v uniformly if they want S>0 margin.
|
||||
function computeOffsetsForLogPrices(
|
||||
int128 b,
|
||||
int128[] memory reservesInternal,
|
||||
uint256 referenceIndex,
|
||||
int128[] memory logPrices
|
||||
) internal pure returns (int128[] memory vOffsets) {
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
uint256 n = reservesInternal.length;
|
||||
require(logPrices.length == n, "LMSR: length mismatch");
|
||||
require(referenceIndex < n, "LMSR: ref idx");
|
||||
|
||||
vOffsets = new int128[](n);
|
||||
|
||||
// Set v_ref = 0, solve differences for others
|
||||
uint256 ref = referenceIndex;
|
||||
int128 logP_ref = logPrices[ref];
|
||||
for (uint256 i = 0; i < n; ) {
|
||||
if (i != ref) {
|
||||
int128 desiredDiff = b.mul(logPrices[i].sub(logP_ref)); // b*(ln p_i - ln p_ref)
|
||||
int128 currentDiff = reservesInternal[i].sub(reservesInternal[ref]); // r_i - r_ref
|
||||
vOffsets[i] = desiredDiff.sub(currentDiff); // v_i - v_ref with v_ref = 0
|
||||
}
|
||||
unchecked { i++; }
|
||||
}
|
||||
return vOffsets;
|
||||
}
|
||||
|
||||
/* --------------------
|
||||
@@ -53,14 +116,13 @@ library LMSRStabilized {
|
||||
|
||||
/// @notice Cost C(q) = b * (M + ln(Z))
|
||||
function cost(State storage s) internal view returns (int128) {
|
||||
return cost(s.kappa, s.qInternal);
|
||||
int128 b = _computeB(s);
|
||||
return cost(b, s.qInternal);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Cost C(q) = b * (M + ln(Z))
|
||||
function cost(int128 kappa, int128[] memory qInternal) internal pure returns (int128) {
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
function cost(int128 b, int128[] memory qInternal) internal pure returns (int128) {
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
(int128 M, int128 Z) = _computeMAndZ(b, qInternal);
|
||||
int128 lnZ = _ln(Z);
|
||||
int128 inner = M.add(lnZ);
|
||||
@@ -98,7 +160,8 @@ library LMSRStabilized {
|
||||
int128 a,
|
||||
int128 limitPrice
|
||||
) internal view returns (int128 amountIn, int128 amountOut) {
|
||||
return swapAmountsForExactInput(s.nAssets, s.kappa, s.qInternal, i, j, a, limitPrice);
|
||||
int128 b = _computeB(s);
|
||||
return swapAmountsForExactInput(s.nAssets, b, s.qInternal, i, j, a, limitPrice);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Closed-form asset-i -> asset-j amountOut in 64.64 fixed-point format (fee-free kernel)
|
||||
@@ -114,7 +177,7 @@ library LMSRStabilized {
|
||||
/// NOTE: Kernel is fee-free; fees should be handled by the wrapper/token layer.
|
||||
///
|
||||
/// @param nAssets Number of assets in the pool
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param i Index of input asset
|
||||
/// @param j Index of output asset
|
||||
@@ -124,7 +187,7 @@ library LMSRStabilized {
|
||||
/// @return amountOut Amount of output asset j in 64.64 fixed-point format
|
||||
function swapAmountsForExactInput(
|
||||
uint256 nAssets,
|
||||
int128 kappa,
|
||||
int128 b,
|
||||
int128[] memory qInternal,
|
||||
uint256 i,
|
||||
uint256 j,
|
||||
@@ -136,58 +199,33 @@ library LMSRStabilized {
|
||||
// Initialize amountIn to full amount (will be adjusted if limit price is hit)
|
||||
amountIn = a;
|
||||
|
||||
// Compute b and ensure positivity before deriving invB
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
// Ensure b > 0 and derive invB
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
|
||||
// Precompute reciprocal of b to avoid repeated divisions
|
||||
int128 invB = ABDKMath64x64.div(ONE, b);
|
||||
|
||||
// Guard: output asset must have non-zero effective weight to avoid degenerate/div-by-zero-like conditions
|
||||
require(qInternal[j] > int128(0), "LMSR: e_j==0");
|
||||
|
||||
// Compute r0 = exp((q_i - q_j) / b) directly using invB
|
||||
// Compute r0 = exp((q_i - q_j) / b) directly using invB (always > 0)
|
||||
int128 r0 = _exp(qInternal[i].sub(qInternal[j]).mul(invB));
|
||||
require(r0 > int128(0), "LMSR: r0<=0"); // equivalent to e_j > 0 check
|
||||
|
||||
// If a positive limitPrice is given, determine whether the full `a` would
|
||||
// push the marginal price p_i/p_j beyond the limit; if so, truncate `a`.
|
||||
// Marginal price ratio evolves as r(t) = r0 * exp(t/b) (since e_i multiplies by exp(t/b))
|
||||
// Marginal price ratio evolves as r(t) = r0 * exp(t/b)
|
||||
if (limitPrice > int128(0)) {
|
||||
// r0 must be positive; if r0 == 0 then no risk of exceeding limit by increasing r.
|
||||
require(r0 >= int128(0), "LMSR: r0<0");
|
||||
if (r0 == int128(0)) {
|
||||
// console2.log("r0 == 0 (input asset has zero weight), no limit truncation needed");
|
||||
} else {
|
||||
// If limitPrice <= current price, we revert (caller must choose a limit > current price to allow any fill)
|
||||
if (limitPrice <= r0) {
|
||||
revert("LMSR: limitPrice <= current price");
|
||||
}
|
||||
|
||||
// Compute a_limit directly from ln(limit / r0): a_limit = b * ln(limit / r0)
|
||||
int128 ratioLimitOverR0 = limitPrice.div(r0);
|
||||
require(ratioLimitOverR0 > int128(0), "LMSR: ratio<=0");
|
||||
|
||||
int128 aLimitOverB = _ln(ratioLimitOverR0); // > 0
|
||||
|
||||
// aLimit = b * aLimitOverB
|
||||
int128 aLimit64 = b.mul(aLimitOverB);
|
||||
|
||||
// If computed aLimit is less than the requested a, use the truncated value.
|
||||
if (aLimit64 < a) {
|
||||
amountIn = aLimit64; // Store the truncated input amount
|
||||
a = aLimit64; // Use truncated amount for calculations
|
||||
} else {
|
||||
// console2.log("Not truncating: aLimit64 >= a");
|
||||
}
|
||||
amountIn = aLimit64;
|
||||
a = aLimit64;
|
||||
}
|
||||
}
|
||||
|
||||
// compute a/b safely and guard against very large arguments to exp()
|
||||
int128 aOverB = a.mul(invB);
|
||||
// Protect exp from enormous inputs (consistent with recenter thresholds)
|
||||
require(aOverB <= EXP_LIMIT, "LMSR: a/b too large (would overflow exp)");
|
||||
|
||||
// Use the closed-form fee-free formula:
|
||||
@@ -196,17 +234,14 @@ library LMSRStabilized {
|
||||
int128 oneMinusExpNeg = ONE.sub(expNeg);
|
||||
int128 inner = ONE.add(r0.mul(oneMinusExpNeg));
|
||||
|
||||
// If inner <= 0 then cap output to the current balance q_j (cannot withdraw more than q_j)
|
||||
// If inner <= 0 then return zero (numeric guard; reserve caps are enforced by wrapper)
|
||||
if (inner <= int128(0)) {
|
||||
int128 qj64 = qInternal[j];
|
||||
return (amountIn, qj64);
|
||||
return (amountIn, int128(0));
|
||||
}
|
||||
|
||||
int128 lnInner = _ln(inner);
|
||||
int128 b_lnInner = b.mul(lnInner);
|
||||
amountOut = b_lnInner;
|
||||
amountOut = b.mul(lnInner);
|
||||
|
||||
// Safety check
|
||||
if (amountOut <= 0) {
|
||||
return (0, 0);
|
||||
}
|
||||
@@ -230,7 +265,8 @@ library LMSRStabilized {
|
||||
uint256 j,
|
||||
int128 limitPrice
|
||||
) internal view returns (int128 amountIn, int128 amountOut) {
|
||||
return swapAmountsForPriceLimit(s.nAssets, s.kappa, s.qInternal, i, j, limitPrice);
|
||||
int128 b = _computeB(s);
|
||||
return swapAmountsForPriceLimit(s.nAssets, b, s.qInternal, i, j, limitPrice);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Maximum input/output pair possible when swapping from asset i to asset j
|
||||
@@ -240,7 +276,7 @@ library LMSRStabilized {
|
||||
/// j-balance, amountOut is capped and amountIn is solved for the capped output.
|
||||
///
|
||||
/// @param nAssets Number of assets in the pool
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param i Index of input asset
|
||||
/// @param j Index of output asset
|
||||
@@ -249,7 +285,7 @@ library LMSRStabilized {
|
||||
/// @return amountOut Corresponding maximum output amount in 64.64 fixed-point format
|
||||
function swapAmountsForPriceLimit(
|
||||
uint256 nAssets,
|
||||
int128 kappa,
|
||||
int128 b,
|
||||
int128[] memory qInternal,
|
||||
uint256 i,
|
||||
uint256 j,
|
||||
@@ -258,74 +294,31 @@ library LMSRStabilized {
|
||||
require(i < nAssets && j < nAssets, "LMSR: idx");
|
||||
require(limitPrice > int128(0), "LMSR: limitPrice <= 0");
|
||||
|
||||
// Compute b and ensure positivity before deriving invB
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
// Ensure positivity and derive invB
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
|
||||
// Precompute reciprocal of b to avoid repeated divisions
|
||||
int128 invB = ABDKMath64x64.div(ONE, b);
|
||||
|
||||
// Guard: output asset must have non-zero effective weight to avoid degenerate/div-by-zero-like conditions
|
||||
require(qInternal[j] > int128(0), "LMSR: e_j==0");
|
||||
|
||||
// Compute r0 = exp((q_i - q_j) / b) directly using invB
|
||||
// Compute r0 = exp((q_i - q_j) / b)
|
||||
int128 r0 = _exp(qInternal[i].sub(qInternal[j]).mul(invB));
|
||||
|
||||
// Mirror swapAmountsForExactInput behavior: treat invalid r0 as an error condition.
|
||||
// Revert if r0 is non-positive (no finite trade under a price limit).
|
||||
require(r0 > int128(0), "LMSR: r0<=0");
|
||||
|
||||
// If current price already exceeds or equals limit, revert the same way swapAmountsForExactInput does.
|
||||
// If current price already exceeds or equals limit, revert (no room to move)
|
||||
if (r0 >= limitPrice) {
|
||||
revert("LMSR: limitPrice <= current price");
|
||||
}
|
||||
|
||||
// Calculate the price change factor: limitPrice/r0
|
||||
int128 priceChangeFactor = limitPrice.div(r0);
|
||||
|
||||
// ln(priceChangeFactor) gives us the maximum allowed delta in the exponent
|
||||
int128 maxDeltaExponent = _ln(priceChangeFactor);
|
||||
|
||||
// Maximum input capable of reaching the price limit:
|
||||
// x_max = b * ln(limitPrice / r0)
|
||||
int128 priceChangeFactor = limitPrice.div(r0);
|
||||
int128 maxDeltaExponent = _ln(priceChangeFactor);
|
||||
int128 amountInMax = b.mul(maxDeltaExponent);
|
||||
|
||||
// The maximum output y corresponding to that input:
|
||||
// y = b * ln(1 + (e_i/e_j) * (1 - exp(-x_max/b)))
|
||||
// y_max = b * ln(1 + r0 * (1 - exp(-x_max/b)))
|
||||
int128 expTerm = ONE.sub(_exp(maxDeltaExponent.neg()));
|
||||
int128 innerTerm = r0.mul(expTerm);
|
||||
int128 lnTerm = _ln(ONE.add(innerTerm));
|
||||
int128 maxOutput = b.mul(lnTerm);
|
||||
|
||||
// Current balance of asset j (in 64.64)
|
||||
int128 qj64 = qInternal[j];
|
||||
|
||||
// Initialize outputs to the computed maxima
|
||||
amountIn = amountInMax;
|
||||
amountOut = maxOutput;
|
||||
|
||||
// If the calculated maximum output exceeds the balance, cap output and solve for input.
|
||||
if (maxOutput > qj64) {
|
||||
amountOut = qj64;
|
||||
|
||||
// Solve inverse relation for input given capped output:
|
||||
// Given y = amountOut, let E = exp(y/b). Then
|
||||
// 1 - exp(-a/b) = (E - 1) / r0
|
||||
// exp(-a/b) = 1 - (E - 1) / r0 = (r0 + 1 - E) / r0
|
||||
// a = -b * ln( (r0 + 1 - E) / r0 ) = b * ln( r0 / (r0 + 1 - E) )
|
||||
int128 E = _exp(amountOut.mul(invB)); // exp(y/b)
|
||||
int128 rhs = r0.add(ONE).sub(E); // r0 + 1 - E
|
||||
|
||||
// If rhs <= 0 due to numerical issues, fall back to amountInMax
|
||||
if (rhs <= int128(0)) {
|
||||
amountIn = amountInMax;
|
||||
} else {
|
||||
amountIn = b.mul(_ln(r0.div(rhs)));
|
||||
}
|
||||
}
|
||||
|
||||
return (amountIn, amountOut);
|
||||
}
|
||||
|
||||
@@ -340,7 +333,8 @@ library LMSRStabilized {
|
||||
uint256 i,
|
||||
int128 a
|
||||
) internal view returns (int128 amountIn, int128 amountOut) {
|
||||
return swapAmountsForMint(s.nAssets, s.kappa, s.qInternal, i, a);
|
||||
int128 b = _computeB(s);
|
||||
return swapAmountsForMint(s.nAssets, b, s.qInternal, i, a);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Compute LP-size increase when minting from a single-token input using bisection only.
|
||||
@@ -350,7 +344,7 @@ library LMSRStabilized {
|
||||
/// x_j = b * ln( r0_j / (r0_j + 1 - exp(y_j / b)) ), r0_j = exp((q_i - q_j)/b).
|
||||
/// Bisection is used (no Newton) to keep implementation compact and gas-friendly.
|
||||
/// @param nAssets Number of assets in the pool
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param i Index of input asset
|
||||
/// @param a Amount of input asset (in int128 format, 64.64 fixed-point)
|
||||
@@ -358,7 +352,7 @@ library LMSRStabilized {
|
||||
/// @return amountOut LP size-metric increase (alpha * S)
|
||||
function swapAmountsForMint(
|
||||
uint256 nAssets,
|
||||
int128 kappa,
|
||||
int128 b,
|
||||
int128[] memory qInternal,
|
||||
uint256 i,
|
||||
int128 a
|
||||
@@ -366,12 +360,11 @@ library LMSRStabilized {
|
||||
require(i < nAssets, "LMSR: idx");
|
||||
require(a > int128(0), "LMSR: amount <= 0");
|
||||
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
// Compute size metric S for output computation; use provided b for curvature
|
||||
int128 S = _computeSizeMetric(qInternal);
|
||||
require(S > int128(0), "LMSR: size metric zero");
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
int128 invB = ABDKMath64x64.div(ONE, b);
|
||||
int128 S = sizeMetric;
|
||||
|
||||
uint256 n = nAssets;
|
||||
|
||||
@@ -552,7 +545,8 @@ library LMSRStabilized {
|
||||
uint256 i,
|
||||
int128 alpha
|
||||
) internal view returns (int128 amountOut, int128 amountIn) {
|
||||
return swapAmountsForBurn(s.nAssets, s.kappa, s.qInternal, i, alpha);
|
||||
int128 b = _computeB(s);
|
||||
return swapAmountsForBurn(s.nAssets, b, s.qInternal, i, alpha);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Compute single-asset payout when burning a proportional share alpha of the pool.
|
||||
@@ -565,7 +559,7 @@ library LMSRStabilized {
|
||||
/// Treat any per-asset rhs<=0 as "this asset contributes zero" (do not revert).
|
||||
/// Revert only if the final single-asset payout is zero.
|
||||
/// @param nAssets Number of assets in the pool
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param i Index of output asset
|
||||
/// @param alpha Proportional share to burn (0 < alpha <= 1)
|
||||
@@ -573,7 +567,7 @@ library LMSRStabilized {
|
||||
/// @return amountIn LP size-metric redeemed (alpha * S)
|
||||
function swapAmountsForBurn(
|
||||
uint256 nAssets,
|
||||
int128 kappa,
|
||||
int128 b,
|
||||
int128[] memory qInternal,
|
||||
uint256 i,
|
||||
int128 alpha
|
||||
@@ -581,9 +575,9 @@ library LMSRStabilized {
|
||||
require(i < nAssets, "LMSR: idx");
|
||||
require(alpha > int128(0) && alpha <= ONE, "LMSR: alpha");
|
||||
|
||||
// Compute size metric S for payout normalization; use provided b for curvature
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
int128 invB = ABDKMath64x64.div(ONE, b);
|
||||
|
||||
@@ -726,20 +720,47 @@ library LMSRStabilized {
|
||||
}
|
||||
}
|
||||
|
||||
/// @notice Optional helper: recompute qInternal from reserves and explicit virtual offsets.
|
||||
/// @dev This variant is useful if callers manage virtual offsets off-chain and want to preserve price neutrality
|
||||
/// across proportional mints/burns by applying updated offsets alongside reserve changes.
|
||||
/// @param newReservesInternal New reserves vector in 64.64 (converted from uint balances)
|
||||
/// @param vOffsets Per-asset virtual offsets to apply (same length as nAssets)
|
||||
function updateForProportionalChangeWithOffsets(
|
||||
State storage s,
|
||||
int128[] memory newReservesInternal,
|
||||
int128[] memory vOffsets
|
||||
) internal {
|
||||
require(newReservesInternal.length == s.nAssets, "LMSR: length mismatch");
|
||||
require(vOffsets.length == s.nAssets, "LMSR: v length mismatch");
|
||||
|
||||
int128[] memory combined = new int128[](s.nAssets);
|
||||
for (uint i = 0; i < s.nAssets; ) {
|
||||
combined[i] = newReservesInternal[i].add(vOffsets[i]);
|
||||
unchecked { i++; }
|
||||
}
|
||||
|
||||
int128 newTotal = _computeSizeMetric(combined);
|
||||
require(newTotal > int128(0), "LMSR: new total zero");
|
||||
|
||||
for (uint i = 0; i < s.nAssets; ) {
|
||||
s.qInternal[i] = combined[i];
|
||||
unchecked { i++; }
|
||||
}
|
||||
}
|
||||
|
||||
/// @notice Price-share of asset i: exp(z_i) / Z (64.64)
|
||||
function priceShare(State storage s, uint256 i) internal view returns (int128) {
|
||||
return priceShare(s.kappa, s.qInternal, i);
|
||||
int128 b = _computeB(s);
|
||||
return priceShare(b, s.qInternal, i);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Price-share of asset i: exp(z_i) / Z (64.64)
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param i Index of asset
|
||||
/// @return Price share in 64.64 fixed-point format
|
||||
function priceShare(int128 kappa, int128[] memory qInternal, uint256 i) internal pure returns (int128) {
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
function priceShare(int128 b, int128[] memory qInternal, uint256 i) internal pure returns (int128) {
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
uint len = qInternal.length;
|
||||
require(len > 0, "LMSR: no assets");
|
||||
|
||||
@@ -797,22 +818,20 @@ library LMSRStabilized {
|
||||
/// @notice Marginal price of `base` in terms of `quote` (p_quote / p_base) as Q64.64
|
||||
/// @dev Returns exp((q_quote - q_base) / b). Indices must be valid and b > 0.
|
||||
function price(State storage s, uint256 baseTokenIndex, uint256 quoteTokenIndex) internal view returns (int128) {
|
||||
return price(s.nAssets, s.kappa, s.qInternal, baseTokenIndex, quoteTokenIndex);
|
||||
int128 b = _computeB(s);
|
||||
return price(s.nAssets, b, s.qInternal, baseTokenIndex, quoteTokenIndex);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Marginal price of `base` in terms of `quote` (p_quote / p_base) as Q64.64
|
||||
/// @dev Returns exp((q_quote - q_base) / b). Indices must be valid and b > 0.
|
||||
/// @param nAssets Number of assets in the pool
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param baseTokenIndex Index of base token
|
||||
/// @param quoteTokenIndex Index of quote token
|
||||
/// @return Price in 64.64 fixed-point format
|
||||
function price(uint256 nAssets, int128 kappa, int128[] memory qInternal, uint256 baseTokenIndex, uint256 quoteTokenIndex) internal pure returns (int128) {
|
||||
function price(uint256 nAssets, int128 b, int128[] memory qInternal, uint256 baseTokenIndex, uint256 quoteTokenIndex) internal pure returns (int128) {
|
||||
require(baseTokenIndex < nAssets && quoteTokenIndex < nAssets, "LMSR: idx");
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
|
||||
// Use reciprocal of b to avoid repeated divisions
|
||||
@@ -825,26 +844,22 @@ library LMSRStabilized {
|
||||
/// @notice Price of one unit of the LP size-metric (S = sum q_i) denominated in `quote` asset (Q64.64)
|
||||
/// @dev Computes: poolPrice_quote = (1 / S) * sum_j q_j * exp((q_j - q_quote) / b)
|
||||
function poolPrice(State storage s, uint256 quoteTokenIndex) internal view returns (int128) {
|
||||
return poolPrice(s.nAssets, s.kappa, s.qInternal, quoteTokenIndex);
|
||||
int128 b = _computeB(s);
|
||||
return poolPrice(s.nAssets, b, s.qInternal, quoteTokenIndex);
|
||||
}
|
||||
|
||||
/// @notice Pure version: Price of one unit of the LP size-metric (S = sum q_i) denominated in `quote` asset (Q64.64)
|
||||
/// @dev Computes: poolPrice_quote = (1 / S) * sum_j q_j * exp((q_j - q_quote) / b)
|
||||
/// @param nAssets Number of assets in the pool
|
||||
/// @param kappa Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param b Liquidity parameter κ (64.64 fixed point)
|
||||
/// @param qInternal Cached internal balances in 64.64 fixed-point format
|
||||
/// @param quoteTokenIndex Index of quote token
|
||||
/// @return Pool price in 64.64 fixed-point format
|
||||
function poolPrice(uint256 nAssets, int128 kappa, int128[] memory qInternal, uint256 quoteTokenIndex) internal pure returns (int128) {
|
||||
function poolPrice(uint256 nAssets, int128 b, int128[] memory qInternal, uint256 quoteTokenIndex) internal pure returns (int128) {
|
||||
require(quoteTokenIndex < nAssets, "LMSR: idx");
|
||||
// Compute b and ensure positivity
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
int128 b = kappa.mul(sizeMetric);
|
||||
// Ensure positivity and compute total size metric S = sum q_i
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
|
||||
// Compute total size metric S = sum q_i
|
||||
int128 S = sizeMetric;
|
||||
int128 S = _computeSizeMetric(qInternal);
|
||||
require(S > int128(0), "LMSR: size zero");
|
||||
|
||||
// Precompute reciprocal of b
|
||||
@@ -870,9 +885,8 @@ library LMSRStabilized {
|
||||
Slippage -> b computation & resize-triggered rescale
|
||||
-------------------- */
|
||||
|
||||
/// @notice Internal helper to compute kappa from slippage parameters.
|
||||
/// @dev Returns κ in Q64.64. Implemented as internal so callers within the library can use it
|
||||
/// without resorting to external calls.
|
||||
/// @notice Internal helper to compute kappa from slippage parameters. (Deprecated in favor of computeBFromSlippage)
|
||||
/// @dev Returns κ in Q64.64 for reference. Prefer computing b directly via computeBFromSlippage.
|
||||
function computeKappaFromSlippage(
|
||||
uint256 nAssets,
|
||||
int128 tradeFrac,
|
||||
@@ -920,7 +934,57 @@ library LMSRStabilized {
|
||||
return kappa;
|
||||
}
|
||||
|
||||
/// @notice Legacy-compatible init: compute kappa from slippage parameters and delegate to kappa-based init.
|
||||
/// @notice Compute fixed b from a target slippage profile.
|
||||
/// @dev For a trade of fraction f of the size metric S, targeting slippage s, we have y := -ln(E)/f with
|
||||
/// E = (1 - s*(n-1)) / (1 + s) and b = S / y.
|
||||
function computeBFromSlippage(
|
||||
uint256 nAssets,
|
||||
int128 sizeMetricS,
|
||||
int128 tradeFrac,
|
||||
int128 targetSlippage
|
||||
) internal pure returns (int128) {
|
||||
require(nAssets > 1, "LMSR: n>1 required");
|
||||
require(sizeMetricS > int128(0), "LMSR: S<=0");
|
||||
|
||||
// f must be in (0,1)
|
||||
int128 f = tradeFrac;
|
||||
require(f > int128(0), "LMSR: f=0");
|
||||
require(f < ONE, "LMSR: f>=1");
|
||||
|
||||
int128 onePlusS = ONE.add(targetSlippage);
|
||||
|
||||
int128 n64 = ABDKMath64x64.fromUInt(nAssets);
|
||||
int128 nMinus1_64 = ABDKMath64x64.fromUInt(nAssets - 1);
|
||||
|
||||
// If 1 + s >= n then equal-inventories closed-form applies
|
||||
bool useEqual = (onePlusS >= n64);
|
||||
|
||||
// E candidate used in deriving y = -ln(E)/f (same expression in both branches)
|
||||
int128 numerator = ONE.sub(targetSlippage.mul(nMinus1_64)); // 1 - s*(n-1)
|
||||
int128 denominator = onePlusS; // 1 + s
|
||||
|
||||
if (useEqual) {
|
||||
// Guard numerator to ensure E in (0,1)
|
||||
require(numerator > int128(0), "LMSR: s too large for n");
|
||||
} else {
|
||||
require(numerator > int128(0), "LMSR: bad slippage or n");
|
||||
}
|
||||
|
||||
int128 E_candidate = numerator.div(denominator);
|
||||
require(E_candidate > int128(0) && E_candidate < ONE, "LMSR: bad E ratio");
|
||||
|
||||
// y = -ln(E) / f
|
||||
int128 lnE = _ln(E_candidate);
|
||||
int128 y = lnE.neg().div(f);
|
||||
require(y > int128(0), "LMSR: y<=0");
|
||||
|
||||
// b = S / y
|
||||
int128 b = ABDKMath64x64.div(sizeMetricS, y);
|
||||
require(b > int128(0), "LMSR: b<=0");
|
||||
return b;
|
||||
}
|
||||
|
||||
/// @notice Legacy-compatible init: compute fixed b from slippage parameters and delegate to fixed-b init.
|
||||
/// @dev Provides backward compatibility for callers that still use the (q, tradeFrac, targetSlippage) init signature.
|
||||
function init(
|
||||
State storage s,
|
||||
@@ -928,10 +992,11 @@ library LMSRStabilized {
|
||||
int128 tradeFrac,
|
||||
int128 targetSlippage
|
||||
) internal {
|
||||
// compute kappa using the internal helper
|
||||
int128 kappa = computeKappaFromSlippage(initialQInternal.length, tradeFrac, targetSlippage);
|
||||
// forward to the new kappa-based init
|
||||
init(s, initialQInternal, kappa);
|
||||
// compute b directly from the current size metric and the slippage profile
|
||||
int128 S = _computeSizeMetric(initialQInternal);
|
||||
int128 b = computeBFromSlippage(initialQInternal.length, S, tradeFrac, targetSlippage);
|
||||
// forward to the fixed-b init
|
||||
init(s, initialQInternal, b);
|
||||
}
|
||||
|
||||
|
||||
@@ -940,12 +1005,12 @@ library LMSRStabilized {
|
||||
function deinit(State storage s) internal {
|
||||
// Reset core state
|
||||
s.nAssets = 0;
|
||||
s.kappa = int128(0);
|
||||
s.bFixed = int128(0);
|
||||
|
||||
// Clear qInternal array
|
||||
delete s.qInternal;
|
||||
|
||||
// Note: init(...) will recompute kappa and nAssets on first mint.
|
||||
// Note: initWithFixedB(...) will set b and nAssets on first mint.
|
||||
}
|
||||
|
||||
/// @notice Compute M (shift) and Z (sum of exponentials) dynamically
|
||||
@@ -1023,9 +1088,8 @@ library LMSRStabilized {
|
||||
|
||||
/// @notice Compute b from kappa and current asset quantities
|
||||
function _computeB(State storage s) internal view returns (int128) {
|
||||
int128 sizeMetric = _computeSizeMetric(s.qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
return s.kappa.mul(sizeMetric);
|
||||
// require(s.bFixed > int128(0), "LMSR: b not set");
|
||||
return s.bFixed;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
@@ -87,6 +87,7 @@ contract PartyPlanner is OwnableExternal, IPartyPlanner {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 kappa_,
|
||||
uint256 swapFeePpm_,
|
||||
uint256 flashFeePpm_,
|
||||
@@ -114,6 +115,7 @@ contract PartyPlanner is OwnableExternal, IPartyPlanner {
|
||||
name_,
|
||||
symbol_,
|
||||
tokens_,
|
||||
bases_,
|
||||
kappa_,
|
||||
swapFeePpm_,
|
||||
flashFeePpm_,
|
||||
@@ -163,6 +165,7 @@ contract PartyPlanner is OwnableExternal, IPartyPlanner {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 tradeFrac_,
|
||||
int128 targetSlippage_,
|
||||
uint256 swapFeePpm_,
|
||||
@@ -187,6 +190,7 @@ contract PartyPlanner is OwnableExternal, IPartyPlanner {
|
||||
name_,
|
||||
symbol_,
|
||||
tokens_,
|
||||
bases_,
|
||||
computedKappa,
|
||||
swapFeePpm_,
|
||||
flashFeePpm_,
|
||||
|
||||
@@ -48,11 +48,9 @@ contract PartyPool is PartyPoolBase, OwnableExternal, ERC20External, IPartyPool
|
||||
|
||||
function wrapperToken() external view returns (NativeWrapper) { return WRAPPER_TOKEN; }
|
||||
|
||||
/// @notice Liquidity parameter κ (Q64.64) used by the LMSR kernel: b = κ * S(q)
|
||||
/// @dev Pool is constructed with a fixed κ. Clients that previously passed tradeFrac/targetSlippage
|
||||
/// should use LMSRStabilized.computeKappaFromSlippage(...) to derive κ and pass it here.
|
||||
int128 private immutable KAPPA; // kappa in Q64.64
|
||||
function kappa() external view returns (int128) { return KAPPA; }
|
||||
/// @notice Fixed LMSR curvature parameter b (Q64.64)
|
||||
int128 private immutable B_FIXED;
|
||||
function bFixed() external view returns (int128) { return B_FIXED; }
|
||||
|
||||
/// @notice Per-swap fee in parts-per-million (ppm). Fee is taken from input amounts before LMSR computations.
|
||||
uint256 private immutable SWAP_FEE_PPM;
|
||||
@@ -99,7 +97,8 @@ contract PartyPool is PartyPoolBase, OwnableExternal, ERC20External, IPartyPool
|
||||
/// @param name_ LP token name
|
||||
/// @param symbol_ LP token symbol
|
||||
/// @param tokens_ token addresses (n)
|
||||
/// @param kappa_ liquidity parameter κ (Q64.64) used to derive b = κ * S(q)
|
||||
/// @param bases_ scaling _bases for each token (n) - used when converting to/from internal 64.64 amounts
|
||||
/// @param bFixed_ fixed LMSR curvature b (Q64.64)
|
||||
/// @param swapFeePpm_ fee in parts-per-million, taken from swap input amounts before LMSR calculations
|
||||
/// @param flashFeePpm_ fee in parts-per-million, taken for flash loans
|
||||
/// @param swapImpl_ address of the SwapMint implementation contract
|
||||
@@ -109,7 +108,8 @@ contract PartyPool is PartyPoolBase, OwnableExternal, ERC20External, IPartyPool
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
int128 kappa_,
|
||||
uint256[] memory bases_,
|
||||
int128 bFixed_,
|
||||
uint256 swapFeePpm_,
|
||||
uint256 flashFeePpm_,
|
||||
uint256 protocolFeePpm_,
|
||||
@@ -124,8 +124,10 @@ contract PartyPool is PartyPoolBase, OwnableExternal, ERC20External, IPartyPool
|
||||
{
|
||||
require(owner_ != address(0));
|
||||
require(tokens_.length > 1, "Pool: need >1 asset");
|
||||
require(tokens_.length == bases_.length, "Pool: lengths mismatch");
|
||||
_tokens = tokens_;
|
||||
KAPPA = kappa_;
|
||||
_bases = bases_;
|
||||
B_FIXED = bFixed_;
|
||||
require(swapFeePpm_ < 1_000_000, "Pool: fee >= ppm");
|
||||
SWAP_FEE_PPM = swapFeePpm_;
|
||||
require(flashFeePpm_ < 1_000_000, "Pool: flash fee >= ppm");
|
||||
@@ -149,9 +151,6 @@ contract PartyPool is PartyPoolBase, OwnableExternal, ERC20External, IPartyPool
|
||||
unchecked {i++;}
|
||||
}
|
||||
|
||||
// Allocate denominators (bases) to be computed during initialMint from initial deposits
|
||||
_bases = new uint256[](n);
|
||||
|
||||
// Initialize caches to zero and protocol ledger
|
||||
_cachedUintBalances = new uint256[](n);
|
||||
_protocolFeesOwed = new uint256[](n);
|
||||
@@ -183,7 +182,7 @@ contract PartyPool is PartyPoolBase, OwnableExternal, ERC20External, IPartyPool
|
||||
PartyPoolMintImpl.initialMint.selector,
|
||||
receiver,
|
||||
lpTokens,
|
||||
KAPPA
|
||||
B_FIXED
|
||||
);
|
||||
bytes memory result = Address.functionDelegateCall(address(MINT_IMPL), data);
|
||||
return abi.decode(result, (uint256));
|
||||
|
||||
@@ -15,6 +15,7 @@ contract PartyPoolBalancedPair is PartyPool {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 kappa_,
|
||||
uint256 swapFeePpm_,
|
||||
uint256 flashFeePpm_,
|
||||
@@ -24,7 +25,7 @@ contract PartyPoolBalancedPair is PartyPool {
|
||||
PartyPoolSwapImpl swapMintImpl_,
|
||||
PartyPoolMintImpl mintImpl_
|
||||
)
|
||||
PartyPool(owner_, name_, symbol_, tokens_, kappa_, swapFeePpm_, flashFeePpm_, protocolFeePpm_, protocolFeeAddress_, wrapperToken_, swapMintImpl_, mintImpl_)
|
||||
PartyPool(owner_, name_, symbol_, tokens_, bases_, kappa_, swapFeePpm_, flashFeePpm_, protocolFeePpm_, protocolFeeAddress_, wrapperToken_, swapMintImpl_, mintImpl_)
|
||||
{}
|
||||
|
||||
function _swapAmountsForExactInput(uint256 i, uint256 j, int128 a, int128 limitPrice) internal virtual override view
|
||||
|
||||
@@ -15,6 +15,7 @@ interface IPartyPoolDeployer {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 kappa_,
|
||||
uint256 swapFeePpm_,
|
||||
uint256 flashFeePpm_,
|
||||
@@ -32,6 +33,7 @@ contract PartyPoolDeployer is IPartyPoolDeployer {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 kappa_,
|
||||
uint256 swapFeePpm_,
|
||||
uint256 flashFeePpm_,
|
||||
@@ -46,6 +48,7 @@ contract PartyPoolDeployer is IPartyPoolDeployer {
|
||||
name_,
|
||||
symbol_,
|
||||
tokens_,
|
||||
bases_,
|
||||
kappa_,
|
||||
swapFeePpm_,
|
||||
flashFeePpm_,
|
||||
@@ -64,6 +67,7 @@ contract PartyPoolBalancedPairDeployer is IPartyPoolDeployer {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 kappa_,
|
||||
uint256 swapFeePpm_,
|
||||
uint256 flashFeePpm_,
|
||||
@@ -78,6 +82,7 @@ contract PartyPoolBalancedPairDeployer is IPartyPoolDeployer {
|
||||
name_,
|
||||
symbol_,
|
||||
tokens_,
|
||||
bases_,
|
||||
kappa_,
|
||||
swapFeePpm_,
|
||||
flashFeePpm_,
|
||||
|
||||
@@ -25,7 +25,7 @@ contract PartyPoolMintImpl is PartyPoolBase {
|
||||
// Initialization Mint
|
||||
//
|
||||
|
||||
function initialMint(address receiver, uint256 lpTokens, int128 KAPPA) external payable native killable nonReentrant
|
||||
function initialMint(address receiver, uint256 lpTokens, int128 B_FIXED) external payable native killable nonReentrant
|
||||
returns (uint256 lpMinted) {
|
||||
uint256 n = _tokens.length;
|
||||
|
||||
@@ -33,38 +33,30 @@ contract PartyPoolMintImpl is PartyPoolBase {
|
||||
bool isInitialDeposit = _totalSupply == 0 || _lmsr.nAssets == 0;
|
||||
require(isInitialDeposit, "initialMint: pool already initialized");
|
||||
|
||||
// Read initial on-chain balances, require all > 0, and compute denominators (bases) from deposits.
|
||||
// We assume equal-valued deposits; set base[i] = depositAmount so internal q_i starts at 1.0.
|
||||
// Update cached balances for all assets
|
||||
int128[] memory newQInternal = new int128[](n);
|
||||
uint256[] memory depositAmounts = new uint256[](n);
|
||||
|
||||
for (uint i = 0; i < n; ) {
|
||||
uint256 bal = IERC20(_tokens[i]).balanceOf(address(this));
|
||||
require(bal > 0, "initialMint: zero initial balance");
|
||||
depositAmounts[i] = bal;
|
||||
|
||||
// Cache external balances
|
||||
_cachedUintBalances[i] = bal;
|
||||
|
||||
// Set per-asset denominator to the observed deposit amount (at least 1)
|
||||
_bases[i] = bal;
|
||||
|
||||
// Compute internal q_i = bal / base_i => ~1.0 in 64.64
|
||||
newQInternal[i] = _uintToInternalFloor(bal, _bases[i]);
|
||||
require(newQInternal[i] > int128(0), "initialMint: zero internal q");
|
||||
|
||||
depositAmounts[i] = bal;
|
||||
unchecked { i++; }
|
||||
}
|
||||
|
||||
// Initialize the stabilized LMSR state with provided kappa
|
||||
_lmsr.init(newQInternal, KAPPA);
|
||||
// Initialize the stabilized LMSR state with provided fixed b
|
||||
_lmsr.init(newQInternal, B_FIXED);
|
||||
|
||||
// Obey the passed-in initial LP amount. If 0, default to 1e18
|
||||
lpMinted = lpTokens == 0 ? 1e18 : lpTokens;
|
||||
|
||||
if (lpMinted > 0) {
|
||||
_mint(receiver, lpMinted);
|
||||
// Compute actual LP _tokens to mint based on size metric (scaled)
|
||||
if( lpTokens != 0 )
|
||||
lpMinted = lpTokens;
|
||||
else {
|
||||
int128 newTotal = _computeSizeMetric(newQInternal);
|
||||
lpMinted = ABDKMath64x64.mulu(newTotal, LP_SCALE);
|
||||
}
|
||||
|
||||
require(lpMinted > 0, "initialMint: zero LP amount");
|
||||
_mint(receiver, lpMinted);
|
||||
emit IPartyPool.Mint(address(0), receiver, depositAmounts, lpMinted);
|
||||
}
|
||||
|
||||
@@ -296,7 +288,7 @@ contract PartyPoolMintImpl is PartyPoolBase {
|
||||
|
||||
// Use LMSR view to determine actual internal consumed and size-increase (ΔS) for mint
|
||||
(int128 amountInInternalUsed, int128 sizeIncreaseInternal) =
|
||||
LMSRStabilized.swapAmountsForMint(lmsrState.nAssets, lmsrState.kappa, lmsrState.qInternal,
|
||||
LMSRStabilized.swapAmountsForMint(lmsrState.nAssets, lmsrState.bFixed, lmsrState.qInternal,
|
||||
inputTokenIndex, netInternalGuess);
|
||||
|
||||
// amountInInternalUsed may be <= netInternalGuess. Convert to uint (ceil) to determine actual transfer
|
||||
@@ -464,7 +456,7 @@ contract PartyPoolMintImpl is PartyPoolBase {
|
||||
.mul(ABDKMath64x64.divu(1000000-swapFeePpm, 1000000)); // adjusted for fee
|
||||
|
||||
// Use LMSR view to compute single-asset payout and burned size-metric
|
||||
(int128 payoutInternal, ) = LMSRStabilized.swapAmountsForBurn(lmsrState.nAssets, lmsrState.kappa, lmsrState.qInternal,
|
||||
(int128 payoutInternal, ) = LMSRStabilized.swapAmountsForBurn(lmsrState.nAssets, lmsrState.bFixed, lmsrState.qInternal,
|
||||
inputTokenIndex, alpha);
|
||||
|
||||
// Convert payoutInternal -> uint (floor) to favor pool
|
||||
|
||||
@@ -24,13 +24,13 @@ contract PartyPoolSwapImpl is PartyPoolBase {
|
||||
uint256 outputTokenIndex,
|
||||
int128 limitPrice,
|
||||
uint256[] memory bases,
|
||||
int128 kappa,
|
||||
int128 b,
|
||||
int128[] memory qInternal,
|
||||
uint256 swapFeePpm
|
||||
) external pure returns (uint256 amountIn, uint256 amountOut, uint256 fee) {
|
||||
// Compute internal maxima at the price limit
|
||||
(int128 amountInInternal, int128 amountOutInternal) = LMSRStabilized.swapAmountsForPriceLimit(
|
||||
bases.length, kappa, qInternal,
|
||||
bases.length, b, qInternal,
|
||||
inputTokenIndex, outputTokenIndex, limitPrice);
|
||||
|
||||
// Convert input to uint (ceil) and output to uint (floor)
|
||||
|
||||
@@ -35,7 +35,7 @@ contract PartyPoolViewer is PartyPoolHelpers, IPartyPoolViewer {
|
||||
LMSRStabilized.State memory lmsr = pool.LMSR();
|
||||
require(baseTokenIndex < lmsr.nAssets && quoteTokenIndex < lmsr.nAssets, "price: idx");
|
||||
require(lmsr.nAssets > 0, "price: uninit");
|
||||
return LMSRStabilized.price(lmsr.nAssets, pool.kappa(), lmsr.qInternal, baseTokenIndex, quoteTokenIndex);
|
||||
return LMSRStabilized.price(lmsr.nAssets, pool.bFixed(), lmsr.qInternal, baseTokenIndex, quoteTokenIndex);
|
||||
}
|
||||
|
||||
/// @notice Price of one LP token denominated in `quote` as Q64.64.
|
||||
@@ -50,7 +50,7 @@ contract PartyPoolViewer is PartyPoolHelpers, IPartyPoolViewer {
|
||||
require(quoteTokenIndex < lmsr.nAssets, "poolPrice: idx");
|
||||
|
||||
// price per unit of qTotal (Q64.64) from LMSR
|
||||
int128 pricePerQ = LMSRStabilized.poolPrice(lmsr.nAssets, pool.kappa(), lmsr.qInternal, quoteTokenIndex);
|
||||
int128 pricePerQ = LMSRStabilized.poolPrice(lmsr.nAssets, pool.bFixed(), lmsr.qInternal, quoteTokenIndex);
|
||||
|
||||
// total internal q (qTotal) as Q64.64
|
||||
int128 qTotal = LMSRStabilized._computeSizeMetric(lmsr.qInternal);
|
||||
@@ -105,7 +105,7 @@ contract PartyPoolViewer is PartyPoolHelpers, IPartyPoolViewer {
|
||||
|
||||
return SWAP_IMPL.swapToLimitAmounts(
|
||||
inputTokenIndex, outputTokenIndex, limitPrice,
|
||||
pool.denominators(), pool.kappa(), lmsr.qInternal, pool.swapFeePpm());
|
||||
pool.denominators(), pool.bFixed(), lmsr.qInternal, pool.swapFeePpm());
|
||||
}
|
||||
|
||||
|
||||
|
||||
@@ -44,13 +44,14 @@ library Deploy {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 _kappa,
|
||||
uint256 _swapFeePpm,
|
||||
uint256 _flashFeePpm,
|
||||
bool _stable
|
||||
) internal returns (PartyPool) {
|
||||
NativeWrapper wrapper = new WETH9();
|
||||
return newPartyPool(owner_, name_, symbol_, tokens_, _kappa, _swapFeePpm, _flashFeePpm, wrapper, _stable);
|
||||
return newPartyPool(owner_, name_, symbol_, tokens_, bases_, _kappa, _swapFeePpm, _flashFeePpm, wrapper, _stable);
|
||||
}
|
||||
|
||||
function newPartyPool(
|
||||
@@ -58,6 +59,7 @@ library Deploy {
|
||||
string memory name_,
|
||||
string memory symbol_,
|
||||
IERC20[] memory tokens_,
|
||||
uint256[] memory bases_,
|
||||
int128 _kappa,
|
||||
uint256 _swapFeePpm,
|
||||
uint256 _flashFeePpm,
|
||||
@@ -70,6 +72,7 @@ library Deploy {
|
||||
name_,
|
||||
symbol_,
|
||||
tokens_,
|
||||
bases_,
|
||||
_kappa,
|
||||
_swapFeePpm,
|
||||
_flashFeePpm,
|
||||
@@ -84,6 +87,7 @@ library Deploy {
|
||||
name_,
|
||||
symbol_,
|
||||
tokens_,
|
||||
bases_,
|
||||
_kappa,
|
||||
_swapFeePpm,
|
||||
_flashFeePpm,
|
||||
|
||||
@@ -114,6 +114,22 @@ contract GasTest is Test {
|
||||
uint256 constant internal INIT_BAL = 1_000_000; // initial token units for each token (internal==amount when base==1)
|
||||
uint256 constant internal BASE = 1; // use base=1 so internal amounts correspond to raw integers (Q64.64 units)
|
||||
|
||||
// Compute fixed b from a target slippage profile for a pool that will be initialized
|
||||
// with numTokens tokens each deposited with INIT_BAL and BASE==1.
|
||||
function _computeFixedB(uint256 numTokens) internal view returns (int128) {
|
||||
// Size metric S = sum q_i (in 64.64) with q_i = INIT_BAL for each token (BASE == 1)
|
||||
int128 S = ABDKMath64x64.fromUInt(numTokens * INIT_BAL);
|
||||
// E = (1 - s*(n-1)) / (1 + s)
|
||||
int128 one = ABDKMath64x64.fromInt(1);
|
||||
int128 nMinus1 = ABDKMath64x64.fromUInt(numTokens - 1);
|
||||
int128 numerator = one.sub(targetSlippage.mul(nMinus1));
|
||||
int128 denominator = one.add(targetSlippage);
|
||||
int128 E = numerator.div(denominator);
|
||||
// y = -ln(E) / f, b = S / y
|
||||
int128 y = ABDKMath64x64.ln(E).neg().div(tradeFrac);
|
||||
return S.div(y);
|
||||
}
|
||||
|
||||
/// @notice Helper function to create a pool with the specified number of _tokens
|
||||
function createPool(uint256 numTokens) internal returns (PartyPool) {
|
||||
// Deploy _tokens dynamically
|
||||
@@ -139,9 +155,9 @@ contract GasTest is Test {
|
||||
for (uint i = 0; i < tokens.length; i++) {
|
||||
ierc20Tokens[i] = IERC20(tokens[i]);
|
||||
}
|
||||
// Compute kappa from slippage params and number of _tokens, then construct pool with kappa
|
||||
int128 computedKappa = LMSRStabilized.computeKappaFromSlippage(ierc20Tokens.length, tradeFrac, targetSlippage);
|
||||
PartyPool newPool = Deploy.newPartyPool(address(this), poolName, poolName, ierc20Tokens, computedKappa, feePpm, feePpm, false);
|
||||
// Compute fixed b from slippage and expected initial S, then construct pool with fixed b
|
||||
int128 bFixed = _computeFixedB(ierc20Tokens.length);
|
||||
PartyPool newPool = Deploy.newPartyPool(address(this), poolName, poolName, ierc20Tokens, bases, bFixed, feePpm, feePpm, false);
|
||||
|
||||
// Transfer initial deposit amounts into pool before initial mint
|
||||
for (uint256 i = 0; i < numTokens; i++) {
|
||||
@@ -180,8 +196,8 @@ contract GasTest is Test {
|
||||
for (uint i = 0; i < tokens.length; i++) {
|
||||
ierc20Tokens[i] = IERC20(tokens[i]);
|
||||
}
|
||||
int128 computedKappa = LMSRStabilized.computeKappaFromSlippage(ierc20Tokens.length, tradeFrac, targetSlippage);
|
||||
PartyPool newPool = Deploy.newPartyPool(address(this), poolName, poolName, ierc20Tokens, computedKappa, feePpm, feePpm, true);
|
||||
int128 bFixed = _computeFixedB(ierc20Tokens.length);
|
||||
PartyPool newPool = Deploy.newPartyPool(address(this), poolName, poolName, ierc20Tokens, bases, bFixed, feePpm, feePpm, true);
|
||||
|
||||
// Transfer initial deposit amounts into pool before initial mint
|
||||
for (uint256 i = 0; i < numTokens; i++) {
|
||||
|
||||
@@ -30,7 +30,8 @@ contract LMSRStabilizedTest is Test {
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[2] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 b = _computeBFromSlippage(3, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, b);
|
||||
}
|
||||
|
||||
function initAlmostBalanced() internal {
|
||||
@@ -38,7 +39,8 @@ contract LMSRStabilizedTest is Test {
|
||||
q[0] = ABDKMath64x64.fromUInt(999_999);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[2] = ABDKMath64x64.fromUInt(1_000_001);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 b = _computeBFromSlippage(3, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, b);
|
||||
}
|
||||
|
||||
function initImbalanced() internal {
|
||||
@@ -47,7 +49,8 @@ contract LMSRStabilizedTest is Test {
|
||||
q[1] = ABDKMath64x64.fromUInt(1e9);
|
||||
q[2] = ABDKMath64x64.fromUInt(1);
|
||||
q[3] = ABDKMath64x64.divu(1, 1e9);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 b = _computeBFromSlippage(4, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, b);
|
||||
}
|
||||
|
||||
|
||||
@@ -193,7 +196,6 @@ contract LMSRStabilizedTest is Test {
|
||||
|
||||
// Verify basic state is still functional
|
||||
assertTrue(s.nAssets > 0, "State should still be initialized");
|
||||
assertTrue(s.kappa > int128(0), "Kappa should still be positive");
|
||||
}
|
||||
|
||||
function testRescalingAfterDeposit() public {
|
||||
@@ -211,7 +213,6 @@ contract LMSRStabilizedTest is Test {
|
||||
|
||||
// Store initial parameters
|
||||
int128 initialB = _computeB(initialQ);
|
||||
int128 initialKappa = s.kappa;
|
||||
|
||||
// Simulate a deposit by increasing all asset quantities by 50%
|
||||
int128[] memory newQ = new int128[](s.nAssets);
|
||||
@@ -223,18 +224,15 @@ contract LMSRStabilizedTest is Test {
|
||||
// Apply the update for proportional change
|
||||
s.updateForProportionalChange(newQ);
|
||||
|
||||
// Verify that b has been rescaled proportionally
|
||||
// Verify that b remains constant after proportional deposit (fixed-b model)
|
||||
int128 newB = _computeB(s.qInternal);
|
||||
int128 expectedRatio = ABDKMath64x64.fromUInt(3).div(ABDKMath64x64.fromUInt(2)); // 1.5x
|
||||
int128 expectedRatio = ABDKMath64x64.fromInt(1); // invariant b
|
||||
int128 actualRatio = newB.div(initialB);
|
||||
|
||||
int128 tolerance = ABDKMath64x64.divu(1, 1000); // 0.1% tolerance
|
||||
assertTrue((actualRatio.sub(expectedRatio)).abs() < tolerance, "b did not scale proportionally after deposit");
|
||||
assertTrue((actualRatio.sub(expectedRatio)).abs() < tolerance, "b should remain constant after deposit");
|
||||
|
||||
// Verify kappa remained unchanged
|
||||
assertTrue((s.kappa.sub(initialKappa)).abs() < tolerance, "kappa should not change after deposit");
|
||||
|
||||
// Verify slippage target is still met by performing a trade
|
||||
// Perform a trade and verify outputs are reasonable
|
||||
int128 tradeAmount = s.qInternal[0].mul(stdTradeSize);
|
||||
(int128 amountIn, int128 amountOut) = s.swapAmountsForExactInput(0, 1, tradeAmount, 0);
|
||||
|
||||
@@ -250,8 +248,10 @@ contract LMSRStabilizedTest is Test {
|
||||
int128 slippage = slippageRatio.sub(ABDKMath64x64.fromInt(1));
|
||||
console2.log('post-deposit slippage', slippage);
|
||||
|
||||
int128 relativeError = slippage.sub(stdSlippage).abs().div(stdSlippage);
|
||||
assertLt(relativeError, ABDKMath64x64.divu(1, 100), "Slippage target not met after deposit");
|
||||
// With fixed b, theoretical slippage is exp(a/b) - 1
|
||||
int128 expectedSlippage = _exp(tradeAmount.div(newB)).sub(ABDKMath64x64.fromInt(1));
|
||||
int128 slippageError = (slippage.sub(expectedSlippage)).abs();
|
||||
assertLt(slippageError, ABDKMath64x64.divu(1, 1_000_000), "Observed slippage deviates from model");
|
||||
}
|
||||
|
||||
/// @notice Test balanced2 handling of limitPrice that causes truncation of input a
|
||||
@@ -260,7 +260,8 @@ contract LMSRStabilizedTest is Test {
|
||||
int128[] memory q = new int128[](2);
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 bInit = _computeBFromSlippage(2, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, bInit);
|
||||
|
||||
// Compute b for constructing meaningful a and limits
|
||||
int128 b = _computeB(q);
|
||||
@@ -296,7 +297,8 @@ contract LMSRStabilizedTest is Test {
|
||||
int128[] memory q = new int128[](2);
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 bInit = _computeBFromSlippage(2, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, bInit);
|
||||
|
||||
// Small input a
|
||||
int128 a = q[0].mul(ABDKMath64x64.divu(1, 1000)); // 0.1% of asset
|
||||
@@ -326,7 +328,8 @@ contract LMSRStabilizedTest is Test {
|
||||
int128[] memory q = new int128[](2);
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 bInit = _computeBFromSlippage(2, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, bInit);
|
||||
|
||||
int128 limitPrice = ABDKMath64x64.fromInt(1); // equal to current price
|
||||
|
||||
@@ -359,7 +362,6 @@ contract LMSRStabilizedTest is Test {
|
||||
|
||||
// Store initial parameters
|
||||
int128 initialB = _computeB(initialQ);
|
||||
int128 initialKappa = s.kappa;
|
||||
|
||||
// Simulate a withdrawal by decreasing all asset quantities by 30%
|
||||
int128[] memory newQ = new int128[](s.nAssets);
|
||||
@@ -371,18 +373,15 @@ contract LMSRStabilizedTest is Test {
|
||||
// Apply the update for proportional change
|
||||
s.updateForProportionalChange(newQ);
|
||||
|
||||
// Verify that b has been rescaled proportionally
|
||||
// Verify that b remains constant after proportional withdrawal (fixed-b model)
|
||||
int128 newB = _computeB(s.qInternal);
|
||||
int128 expectedRatio = ABDKMath64x64.fromUInt(7).div(ABDKMath64x64.fromUInt(10)); // 0.7x
|
||||
int128 expectedRatio = ABDKMath64x64.fromInt(1); // invariant b
|
||||
int128 actualRatio = newB.div(initialB);
|
||||
|
||||
int128 tolerance = ABDKMath64x64.divu(1, 1000); // 0.1% tolerance
|
||||
assertTrue((actualRatio.sub(expectedRatio)).abs() < tolerance, "b did not scale proportionally after withdrawal");
|
||||
assertTrue((actualRatio.sub(expectedRatio)).abs() < tolerance, "b should remain constant after withdrawal");
|
||||
|
||||
// Verify kappa remained unchanged
|
||||
assertTrue((s.kappa.sub(initialKappa)).abs() < tolerance, "kappa should not change after withdrawal");
|
||||
|
||||
// Verify slippage target is still met by performing a trade
|
||||
// Perform a trade and verify outputs are reasonable
|
||||
int128 tradeAmount = s.qInternal[0].mul(stdTradeSize);
|
||||
(int128 amountIn, int128 amountOut) = s.swapAmountsForExactInput(0, 1, tradeAmount, 0);
|
||||
|
||||
@@ -398,8 +397,10 @@ contract LMSRStabilizedTest is Test {
|
||||
int128 slippage = slippageRatio.sub(ABDKMath64x64.fromInt(1));
|
||||
console2.log('post-withdrawal slippage', slippage);
|
||||
|
||||
int128 relativeError = slippage.sub(stdSlippage).abs().div(stdSlippage);
|
||||
assertLt(relativeError, ABDKMath64x64.divu(1, 100), "Slippage target not met after withdrawal");
|
||||
// With fixed b, theoretical slippage is exp(a/b) - 1
|
||||
int128 expectedSlippage = _exp(tradeAmount.div(newB)).sub(ABDKMath64x64.fromInt(1));
|
||||
int128 slippageError = (slippage.sub(expectedSlippage)).abs();
|
||||
assertLt(slippageError, ABDKMath64x64.divu(1, 1_000_000), "Observed slippage deviates from model");
|
||||
}
|
||||
|
||||
// --- tests probing numerical stability and boundary conditions ---
|
||||
@@ -431,8 +432,8 @@ contract LMSRStabilizedTest is Test {
|
||||
this.externalSwapAmountsForExactInput(0, 1, tradeAmount, ABDKMath64x64.fromInt(1));
|
||||
}
|
||||
|
||||
/// @notice If e_j == 0 we should revert early to avoid div-by-zero
|
||||
function testEJZeroReverts() public {
|
||||
/// @notice If q_j == 0, kernel should still handle computation without revert (wrapper enforces caps)
|
||||
function testZeroQuantityOutputAssetDoesNotRevert() public {
|
||||
initBalanced();
|
||||
|
||||
// Create mock qInternal where asset 1 has zero quantity
|
||||
@@ -446,8 +447,10 @@ contract LMSRStabilizedTest is Test {
|
||||
|
||||
int128 tradeAmount = mockQInternal[0].mul(stdTradeSize);
|
||||
|
||||
vm.expectRevert(bytes("LMSR: e_j==0"));
|
||||
this.externalSwapAmountsForExactInput(0, 1, tradeAmount, 0);
|
||||
// Should not revert; exact-input uses full input and returns a defined output
|
||||
(int128 usedIn, int128 outAmt) = this.externalSwapAmountsForExactInput(0, 1, tradeAmount, 0);
|
||||
assertEq(usedIn, tradeAmount, "exact-input should consume full input without limit");
|
||||
assertTrue(outAmt >= 0, "output amount should be non-negative when q_j == 0");
|
||||
}
|
||||
|
||||
/// @notice swapAmountsForPriceLimit returns zero if limit equals current price
|
||||
@@ -534,18 +537,16 @@ contract LMSRStabilizedTest is Test {
|
||||
this.externalSwapAmountsForExactInput(0, 1, a, 0);
|
||||
}
|
||||
|
||||
// Helper function to compute b from qInternal (either from provided array or state)
|
||||
// Helper function to fetch fixed b (independent of qInternal)
|
||||
function _computeB(int128[] memory qInternal) internal view returns (int128) {
|
||||
int128 sizeMetric = _computeSizeMetric(qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
return s.kappa.mul(sizeMetric);
|
||||
// silence unused warning for qInternal in tests
|
||||
qInternal;
|
||||
return s.bFixed;
|
||||
}
|
||||
|
||||
// Overload that uses state's cached qInternal
|
||||
// Overload that uses state's fixed b
|
||||
function _computeB() internal view returns (int128) {
|
||||
int128 sizeMetric = _computeSizeMetric(s.qInternal);
|
||||
require(sizeMetric > int128(0), "LMSR: size metric zero");
|
||||
return s.kappa.mul(sizeMetric);
|
||||
return s.bFixed;
|
||||
}
|
||||
|
||||
// Helper function to compute size metric (sum of all asset quantities)
|
||||
@@ -558,6 +559,41 @@ contract LMSRStabilizedTest is Test {
|
||||
return total;
|
||||
}
|
||||
|
||||
// Local helper: compute fixed b from a target slippage profile.
|
||||
// For a trade of fraction f of S with target slippage s across n assets:
|
||||
// E = (1 - s*(n-1)) / (1 + s)
|
||||
// y = -ln(E) / f
|
||||
// b = S / y
|
||||
function _computeBFromSlippage(
|
||||
uint256 nAssets,
|
||||
int128[] memory qInternal,
|
||||
int128 tradeFrac,
|
||||
int128 targetSlippage
|
||||
) internal pure returns (int128) {
|
||||
require(nAssets > 1, "test: n>1");
|
||||
int128 S = _computeSizeMetric(qInternal);
|
||||
require(S > int128(0), "test: S<=0");
|
||||
|
||||
int128 f = tradeFrac;
|
||||
require(f > int128(0) && f < ABDKMath64x64.fromInt(1), "test: f out of range");
|
||||
|
||||
int128 one = ABDKMath64x64.fromInt(1);
|
||||
int128 nMinus1 = ABDKMath64x64.fromUInt(nAssets - 1);
|
||||
|
||||
// E must be in (0,1)
|
||||
int128 numerator = one.sub(targetSlippage.mul(nMinus1)); // 1 - s*(n-1)
|
||||
int128 denominator = one.add(targetSlippage); // 1 + s
|
||||
require(numerator > int128(0), "test: bad slippage");
|
||||
|
||||
int128 E = numerator.div(denominator);
|
||||
require(E > int128(0) && E < one, "test: E out of range");
|
||||
|
||||
int128 y = ABDKMath64x64.ln(E).neg().div(f);
|
||||
require(y > int128(0), "test: y<=0");
|
||||
|
||||
return S.div(y);
|
||||
}
|
||||
|
||||
// Helper function to update the state's cached qInternal
|
||||
function _updateCachedQInternal(int128[] memory mockQInternal) internal {
|
||||
// First ensure qInternal array exists with the right size
|
||||
@@ -955,7 +991,8 @@ contract LMSRStabilizedTest is Test {
|
||||
int128[] memory q = new int128[](2);
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 bInit = _computeBFromSlippage(2, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, bInit);
|
||||
|
||||
// Small trade (well within u <= 0.5 and delta <= 1%)
|
||||
int128 a = q[0].mul(ABDKMath64x64.divu(1, 1000)); // 0.1% of asset
|
||||
@@ -986,7 +1023,8 @@ contract LMSRStabilizedTest is Test {
|
||||
int128[] memory q = new int128[](2);
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 bInit = _computeBFromSlippage(2, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, bInit);
|
||||
|
||||
// Prepare newQ starting from equal quantities; we'll grow q0 until delta > DELTA_MAX
|
||||
int128[] memory newQ = new int128[](2);
|
||||
@@ -1045,7 +1083,8 @@ contract LMSRStabilizedTest is Test {
|
||||
int128[] memory q = new int128[](2);
|
||||
q[0] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
q[1] = ABDKMath64x64.fromUInt(1_000_000);
|
||||
s.init(q, stdTradeSize, stdSlippage);
|
||||
int128 bInit = _computeBFromSlippage(2, q, stdTradeSize, stdSlippage);
|
||||
s.init(q, bInit);
|
||||
|
||||
// Compute b
|
||||
int128 b = _computeB(q);
|
||||
|
||||
@@ -53,6 +53,18 @@ contract NativeTest is Test {
|
||||
uint256 constant INIT_BAL = 1_000_000; // initial token units for each token
|
||||
uint256 constant BASE = 1; // use base=1 so internal amounts correspond to raw integers
|
||||
|
||||
// Compute fixed b for a pool initialized with numTokens tokens, each deposited with INIT_BAL (BASE == 1).
|
||||
function _computeFixedB(uint256 numTokens) internal view returns (int128) {
|
||||
int128 S = ABDKMath64x64.fromUInt(numTokens * INIT_BAL);
|
||||
int128 one = ABDKMath64x64.fromInt(1);
|
||||
int128 nMinus1 = ABDKMath64x64.fromUInt(numTokens - 1);
|
||||
int128 numerator = one.sub(targetSlippage.mul(nMinus1));
|
||||
int128 denominator = one.add(targetSlippage);
|
||||
int128 E = numerator.div(denominator);
|
||||
int128 y = ABDKMath64x64.ln(E).neg().div(tradeFrac);
|
||||
return S.div(y);
|
||||
}
|
||||
|
||||
function setUp() public {
|
||||
alice = address(0xA11ce);
|
||||
bob = address(0xB0b);
|
||||
@@ -93,8 +105,8 @@ contract NativeTest is Test {
|
||||
// Deploy pool with a small fee (0.1%)
|
||||
uint256 feePpm = 1000;
|
||||
|
||||
int128 kappa = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
|
||||
pool = Deploy.newPartyPool(address(this), "LP", "LP", tokens, kappa, feePpm, feePpm, weth, false);
|
||||
int128 bFixed = _computeFixedB(tokens.length);
|
||||
pool = Deploy.newPartyPool(address(this), "LP", "LP", tokens, bases, bFixed, feePpm, feePpm, weth, false);
|
||||
|
||||
// Transfer initial deposit amounts into pool
|
||||
token0.transfer(address(pool), INIT_BAL);
|
||||
|
||||
@@ -15,6 +15,7 @@ import {LMSRStabilized} from "../src/LMSRStabilized.sol";
|
||||
import {PartyPlanner} from "../src/PartyPlanner.sol";
|
||||
import {PartyPool} from "../src/PartyPool.sol";
|
||||
import {MockERC20} from "./PartyPlanner.t.sol";
|
||||
import "@abdk/ABDKMath64x64.sol";
|
||||
|
||||
// Mock ERC20 token for testing
|
||||
contract MockERC20 is ERC20 {
|
||||
@@ -34,11 +35,37 @@ contract MockERC20 is ERC20 {
|
||||
}
|
||||
|
||||
contract PartyPlannerTest is Test {
|
||||
using ABDKMath64x64 for int128;
|
||||
|
||||
PartyPlanner public planner;
|
||||
MockERC20 public tokenA;
|
||||
MockERC20 public tokenB;
|
||||
MockERC20 public tokenC;
|
||||
|
||||
function _computeFixedBFromDeposits(
|
||||
uint256 nAssets,
|
||||
uint256[] memory bases,
|
||||
uint256[] memory initialDeposits,
|
||||
int128 tradeFrac,
|
||||
int128 targetSlippage
|
||||
) internal pure returns (int128) {
|
||||
require(bases.length == initialDeposits.length && bases.length == nAssets, "length mismatch");
|
||||
// Compute S = sum(deposit_i / base_i) in Q64.64
|
||||
int128 S = 0;
|
||||
for (uint256 i = 0; i < nAssets; i++) {
|
||||
S = S + ABDKMath64x64.divu(initialDeposits[i], bases[i]);
|
||||
}
|
||||
// E = (1 - s*(n-1)) / (1 + s)
|
||||
int128 one = ABDKMath64x64.fromInt(1);
|
||||
int128 nMinus1 = ABDKMath64x64.fromUInt(nAssets - 1);
|
||||
int128 numerator = one.sub(targetSlippage.mul(nMinus1));
|
||||
int128 denominator = one.add(targetSlippage);
|
||||
int128 E = numerator.div(denominator);
|
||||
// y = -ln(E) / f, b = S / y
|
||||
int128 y = ABDKMath64x64.ln(E).neg().div(tradeFrac);
|
||||
return S.div(y);
|
||||
}
|
||||
|
||||
address public payer = makeAddr("payer");
|
||||
address public receiver = makeAddr("receiver");
|
||||
|
||||
@@ -93,14 +120,15 @@ contract PartyPlannerTest is Test {
|
||||
uint256 initialTokenACount = planner.poolsByTokenCount(IERC20(address(tokenA)));
|
||||
uint256 initialTokenBCount = planner.poolsByTokenCount(IERC20(address(tokenB)));
|
||||
|
||||
// Compute kappa then create pool via kappa overload
|
||||
int128 computedKappa = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
|
||||
// Compute fixed b from slippage and initial deposits, then create pool
|
||||
int128 bFixed = _computeFixedBFromDeposits(tokens.length, bases, initialDeposits, tradeFrac, targetSlippage);
|
||||
|
||||
(IPartyPool pool, uint256 lpAmount) = planner.newPool(
|
||||
name,
|
||||
symbol,
|
||||
tokens,
|
||||
computedKappa,
|
||||
bases,
|
||||
bFixed,
|
||||
swapFeePpm,
|
||||
flashFeePpm,
|
||||
false, // not stable
|
||||
@@ -173,10 +201,10 @@ contract PartyPlannerTest is Test {
|
||||
deposits1[0] = INITIAL_DEPOSIT_AMOUNT;
|
||||
deposits1[1] = INITIAL_DEPOSIT_AMOUNT;
|
||||
|
||||
int128 kappa1 = LMSRStabilized.computeKappaFromSlippage(tokens1.length, int128((1 << 64) - 1), int128(1 << 62));
|
||||
int128 b1 = _computeFixedBFromDeposits(tokens1.length, bases1, deposits1, int128((1 << 64) - 1), int128(1 << 62));
|
||||
(IPartyPool pool1,) = planner.newPool(
|
||||
"Pool 1", "LP1", tokens1,
|
||||
kappa1, 3000, 5000, false,
|
||||
"Pool 1", "LP1", tokens1, bases1,
|
||||
b1, 3000, 5000, false,
|
||||
payer, receiver, deposits1, 1000e18, 0
|
||||
);
|
||||
|
||||
@@ -193,10 +221,10 @@ contract PartyPlannerTest is Test {
|
||||
deposits2[0] = INITIAL_DEPOSIT_AMOUNT;
|
||||
deposits2[1] = INITIAL_DEPOSIT_AMOUNT / 1e12; // Adjust for 6 decimals
|
||||
|
||||
int128 kappa2 = LMSRStabilized.computeKappaFromSlippage(tokens2.length, int128((1 << 64) - 1), int128(1 << 62));
|
||||
int128 b2 = _computeFixedBFromDeposits(tokens2.length, bases2, deposits2, int128((1 << 64) - 1), int128(1 << 62));
|
||||
(IPartyPool pool2,) = planner.newPool(
|
||||
"Pool 2", "LP2", tokens2,
|
||||
kappa2, 3000, 5000, false,
|
||||
"Pool 2", "LP2", tokens2, bases2,
|
||||
b2, 3000, 5000, false,
|
||||
payer, receiver, deposits2, 1000e18, 0
|
||||
);
|
||||
|
||||
@@ -239,7 +267,7 @@ contract PartyPlannerTest is Test {
|
||||
vm.expectRevert("Planner: tokens and deposits length mismatch");
|
||||
// call old-signature convenience (it will still exist) for the mismatched-length revert check
|
||||
planner.newPool(
|
||||
"Test Pool", "TESTLP", tokens,
|
||||
"Test Pool", "TESTLP", tokens, bases,
|
||||
int128((1 << 64) - 1), int128(1 << 62), 3000, 5000, false,
|
||||
payer, receiver, deposits, 1000e18, 0
|
||||
);
|
||||
@@ -249,31 +277,31 @@ contract PartyPlannerTest is Test {
|
||||
validDeposits[0] = INITIAL_DEPOSIT_AMOUNT;
|
||||
validDeposits[1] = INITIAL_DEPOSIT_AMOUNT;
|
||||
|
||||
int128 kappaErr = LMSRStabilized.computeKappaFromSlippage(tokens.length, int128((1 << 64) - 1), int128(1 << 62));
|
||||
int128 bErr = _computeFixedBFromDeposits(tokens.length, bases, validDeposits, int128((1 << 64) - 1), int128(1 << 62));
|
||||
|
||||
vm.expectRevert("Planner: payer cannot be zero address");
|
||||
planner.newPool(
|
||||
"Test Pool", "TESTLP", tokens,
|
||||
kappaErr, 3000, 5000, false,
|
||||
"Test Pool", "TESTLP", tokens, bases,
|
||||
bErr, 3000, 5000, false,
|
||||
address(0), receiver, validDeposits, 1000e18, 0
|
||||
);
|
||||
|
||||
// Test zero receiver address
|
||||
vm.expectRevert("Planner: receiver cannot be zero address");
|
||||
planner.newPool(
|
||||
"Test Pool", "TESTLP", tokens,
|
||||
kappaErr, 3000, 5000, false,
|
||||
"Test Pool", "TESTLP", tokens, bases,
|
||||
bErr, 3000, 5000, false,
|
||||
payer, address(0), validDeposits, 1000e18, 0
|
||||
);
|
||||
|
||||
// Test deadline exceeded
|
||||
// The default timestamp is 1 and 1-0 is 0 which means "ignore deadline," so we need to set a proper timestamp.
|
||||
int128 kappaDeadline = LMSRStabilized.computeKappaFromSlippage(tokens.length, int128((1 << 64) - 1), int128(1 << 62));
|
||||
int128 bDeadline = _computeFixedBFromDeposits(tokens.length, bases, validDeposits, int128((1 << 64) - 1), int128(1 << 62));
|
||||
vm.warp(1000);
|
||||
vm.expectRevert("Planner: deadline exceeded");
|
||||
planner.newPool(
|
||||
"Test Pool", "TESTLP", tokens,
|
||||
kappaDeadline, 3000, 5000, false,
|
||||
"Test Pool", "TESTLP", tokens, bases,
|
||||
bDeadline, 3000, 5000, false,
|
||||
payer, receiver, validDeposits, 1000e18, block.timestamp - 1
|
||||
);
|
||||
}
|
||||
@@ -296,12 +324,12 @@ contract PartyPlannerTest is Test {
|
||||
deposits[0] = INITIAL_DEPOSIT_AMOUNT;
|
||||
deposits[1] = INITIAL_DEPOSIT_AMOUNT;
|
||||
|
||||
int128 kappaLoop = LMSRStabilized.computeKappaFromSlippage(tokens.length, int128((1 << 64) - 1), int128(1 << 62));
|
||||
int128 bLoop = _computeFixedBFromDeposits(tokens.length, bases, deposits, int128((1 << 64) - 1), int128(1 << 62));
|
||||
(IPartyPool pool,) = planner.newPool(
|
||||
string(abi.encodePacked("Pool ", vm.toString(i))),
|
||||
string(abi.encodePacked("LP", vm.toString(i))),
|
||||
tokens,
|
||||
kappaLoop, 3000, 5000, false,
|
||||
tokens, bases,
|
||||
bLoop, 3000, 5000, false,
|
||||
payer, receiver, deposits, 1000e18, 0
|
||||
);
|
||||
|
||||
|
||||
@@ -123,6 +123,19 @@ contract PartyPoolTest is Test {
|
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int128 targetSlippage;
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uint256 constant INIT_BAL = 1_000_000; // initial token units for each token (internal==amount when base==1)
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uint256 constant BASE = 1; // use base=1 so internal amounts correspond to raw integers (Q64.64 units)
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// Compute fixed b for a pool initialized with numTokens tokens, each deposited with INIT_BAL (BASE == 1).
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function _computeFixedB(uint256 numTokens) internal view returns (int128) {
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int128 S = ABDKMath64x64.fromUInt(numTokens * INIT_BAL);
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int128 one = ABDKMath64x64.fromInt(1);
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int128 nMinus1 = ABDKMath64x64.fromUInt(numTokens - 1);
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int128 numerator = one.sub(targetSlippage.mul(nMinus1));
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int128 denominator = one.add(targetSlippage);
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int128 E = numerator.div(denominator);
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int128 y = ABDKMath64x64.ln(E).neg().div(tradeFrac);
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return S.div(y);
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}
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function setUp() public {
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planner = Deploy.newPartyPlanner();
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@@ -163,11 +176,16 @@ contract PartyPoolTest is Test {
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tokens[1] = IERC20(address(token1));
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tokens[2] = IERC20(address(token2));
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uint256[] memory bases = new uint256[](3);
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bases[0] = BASE;
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bases[1] = BASE;
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bases[2] = BASE;
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// Deploy pool with a small fee to test fee-handling paths (use 1000 ppm = 0.1%)
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uint256 feePpm = 1000;
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int128 kappa3 = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
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pool = Deploy.newPartyPool(address(this), "LP", "LP", tokens, kappa3, feePpm, feePpm, false);
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int128 b3 = _computeFixedB(tokens.length);
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pool = Deploy.newPartyPool(address(this), "LP", "LP", tokens, bases, b3, feePpm, feePpm, false);
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// Transfer initial deposit amounts into pool before initial mint (pool expects _tokens already in contract)
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// We deposit equal amounts INIT_BAL for each token
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@@ -191,8 +209,13 @@ contract PartyPoolTest is Test {
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tokens10[8] = IERC20(address(token8));
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tokens10[9] = IERC20(address(token9));
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int128 kappa10 = LMSRStabilized.computeKappaFromSlippage(tokens10.length, tradeFrac, targetSlippage);
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pool10 = Deploy.newPartyPool(address(this), "LP10", "LP10", tokens10, kappa10, feePpm, feePpm, false);
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uint256[] memory bases10 = new uint256[](10);
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for (uint i = 0; i < 10; i++) {
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bases10[i] = BASE;
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}
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int128 b10 = _computeFixedB(tokens10.length);
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pool10 = Deploy.newPartyPool(address(this), "LP10", "LP10", tokens10, bases10, b10, feePpm, feePpm, false);
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// Mint additional _tokens for pool10 initial deposit
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token0.mint(address(this), INIT_BAL);
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@@ -972,15 +995,20 @@ contract PartyPoolTest is Test {
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tokens[1] = IERC20(address(token1));
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tokens[2] = IERC20(address(token2));
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uint256[] memory bases = new uint256[](3);
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bases[0] = BASE;
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bases[1] = BASE;
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bases[2] = BASE;
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uint256 feePpm = 1000;
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// Pool with default initialization (lpTokens = 0)
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int128 kappaDefault = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
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PartyPool poolDefault = Deploy.newPartyPool(address(this), "LP_DEFAULT", "LP_DEFAULT", tokens, kappaDefault, feePpm, feePpm, false);
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int128 bDefault = _computeFixedB(tokens.length);
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PartyPool poolDefault = Deploy.newPartyPool(address(this), "LP_DEFAULT", "LP_DEFAULT", tokens, bases, bDefault, feePpm, feePpm, false);
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// Pool with custom initialization (lpTokens = custom amount)
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int128 kappaCustom = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
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PartyPool poolCustom = Deploy.newPartyPool(address(this), "LP_CUSTOM", "LP_CUSTOM", tokens, kappaCustom, feePpm, feePpm, false);
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int128 bCustom = _computeFixedB(tokens.length);
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PartyPool poolCustom = Deploy.newPartyPool(address(this), "LP_CUSTOM", "LP_CUSTOM", tokens, bases, bCustom, feePpm, feePpm, false);
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// Mint additional _tokens for both pools
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token0.mint(address(this), INIT_BAL * 2);
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@@ -1044,12 +1072,17 @@ contract PartyPoolTest is Test {
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tokens[1] = IERC20(address(token1));
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tokens[2] = IERC20(address(token2));
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uint256[] memory bases = new uint256[](3);
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bases[0] = BASE;
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bases[1] = BASE;
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bases[2] = BASE;
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uint256 feePpm = 1000;
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int128 kappaDefault2 = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
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PartyPool poolDefault = Deploy.newPartyPool(address(this), "LP_DEFAULT", "LP_DEFAULT", tokens, kappaDefault2, feePpm, feePpm, false);
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int128 kappaCustom2 = LMSRStabilized.computeKappaFromSlippage(tokens.length, tradeFrac, targetSlippage);
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PartyPool poolCustom = Deploy.newPartyPool(address(this), "LP_CUSTOM", "LP_CUSTOM", tokens, kappaCustom2, feePpm, feePpm, false);
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int128 bDefault2 = _computeFixedB(tokens.length);
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PartyPool poolDefault = Deploy.newPartyPool(address(this), "LP_DEFAULT", "LP_DEFAULT", tokens, bases, bDefault2, feePpm, feePpm, false);
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int128 bCustom2 = _computeFixedB(tokens.length);
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PartyPool poolCustom = Deploy.newPartyPool(address(this), "LP_CUSTOM", "LP_CUSTOM", tokens, bases, bCustom2, feePpm, feePpm, false);
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// Mint additional _tokens
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token0.mint(address(this), INIT_BAL * 4);
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