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Contract Name:
Orchestrator
Compiler Version
v0.8.13+commit.abaa5c0e
Optimization Enabled:
Yes with 200 runs
Other Settings:
default evmVersion
Contract Source Code (Solidity Standard Json-Input format)
// SPDX-License-Identifier: MIT // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/>. pragma solidity ^0.8.13; import "../lib/openzeppelin-contracts/contracts/token/ERC20/ERC20.sol"; import "../lib/openzeppelin-contracts/contracts/token/ERC20/utils/SafeERC20.sol"; import "./lib/ABDKMath64x64.sol"; import "./Storage.sol"; import "./CurveMath.sol"; library Orchestrator { using SafeERC20 for IERC20; using ABDKMath64x64 for int128; using ABDKMath64x64 for uint256; int128 private constant ONE_WEI = 0x12; event ParametersSet(uint256 alpha, uint256 beta, uint256 delta, uint256 epsilon, uint256 lambda); event AssetIncluded(address indexed numeraire, address indexed reserve, uint256 weight); event AssimilatorIncluded( address indexed derivative, address indexed numeraire, address indexed reserve, address assimilator ); function setParams( Storage.Curve storage curve, uint256 _alpha, uint256 _beta, uint256 _feeAtHalt, uint256 _epsilon, uint256 _lambda ) external { require(0 < _alpha && _alpha < 1e18, "Curve/parameter-invalid-alpha"); require(_beta < _alpha, "Curve/parameter-invalid-beta"); require(_feeAtHalt <= 5e17, "Curve/parameter-invalid-max"); require(_epsilon <= 1e16, "Curve/parameter-invalid-epsilon"); require(_lambda <= 1e18, "Curve/parameter-invalid-lambda"); int128 _omega = getFee(curve); curve.alpha = (_alpha + 1).divu(1e18); curve.beta = (_beta + 1).divu(1e18); curve.delta = (_feeAtHalt).divu(1e18).div(uint256(2).fromUInt().mul(curve.alpha.sub(curve.beta))) + ONE_WEI; curve.epsilon = (_epsilon + 1).divu(1e18); curve.lambda = (_lambda + 1).divu(1e18); int128 _psi = getFee(curve); require(_omega >= _psi, "Curve/parameters-increase-fee"); emit ParametersSet(_alpha, _beta, curve.delta.mulu(1e18), _epsilon, _lambda); } function getFee(Storage.Curve storage curve) private view returns (int128 fee_) { int128 _gLiq; // Always pairs int128[] memory _bals = new int128[](2); for (uint256 i = 0; i < _bals.length; i++) { int128 _bal = Assimilators.viewNumeraireBalance(curve.assets[i].addr); _bals[i] = _bal; _gLiq += _bal; } fee_ = CurveMath.calculateFee(_gLiq, _bals, curve.beta, curve.delta, curve.weights); } function initialize( Storage.Curve storage curve, address[] storage numeraires, address[] storage reserves, address[] storage derivatives, address[] calldata _assets, uint256[] calldata _assetWeights ) external { require(_assetWeights.length == 2, "Curve/assetWeights-must-be-length-two"); require(_assets.length % 5 == 0, "Curve/assets-must-be-divisible-by-five"); for (uint256 i = 0; i < _assetWeights.length; i++) { uint256 ix = i * 5; numeraires.push(_assets[ix]); derivatives.push(_assets[ix]); reserves.push(_assets[2 + ix]); if (_assets[ix] != _assets[2 + ix]) derivatives.push(_assets[2 + ix]); includeAsset( curve, _assets[ix], // numeraire _assets[1 + ix], // numeraire assimilator _assets[2 + ix], // reserve _assets[3 + ix], // reserve assimilator _assets[4 + ix], // reserve approve to _assetWeights[i] ); } } function includeAsset( Storage.Curve storage curve, address _numeraire, address _numeraireAssim, address _reserve, address _reserveAssim, address _reserveApproveTo, uint256 _weight ) private { require(_numeraire != address(0), "Curve/numeraire-cannot-be-zeroth-address"); require(_numeraireAssim != address(0), "Curve/numeraire-assimilator-cannot-be-zeroth-address"); require(_reserve != address(0), "Curve/reserve-cannot-be-zeroth-address"); require(_reserveAssim != address(0), "Curve/reserve-assimilator-cannot-be-zeroth-address"); require(_weight < 1e18, "Curve/weight-must-be-less-than-one"); if (_numeraire != _reserve) IERC20(_numeraire).safeApprove(_reserveApproveTo, type(uint).max); Storage.Assimilator storage _numeraireAssimilator = curve.assimilators[_numeraire]; _numeraireAssimilator.addr = _numeraireAssim; _numeraireAssimilator.ix = uint8(curve.assets.length); Storage.Assimilator storage _reserveAssimilator = curve.assimilators[_reserve]; _reserveAssimilator.addr = _reserveAssim; _reserveAssimilator.ix = uint8(curve.assets.length); int128 __weight = _weight.divu(1e18).add(uint256(1).divu(1e18)); curve.weights.push(__weight); curve.assets.push(_numeraireAssimilator); emit AssetIncluded(_numeraire, _reserve, _weight); emit AssimilatorIncluded(_numeraire, _numeraire, _reserve, _numeraireAssim); if (_numeraireAssim != _reserveAssim) { emit AssimilatorIncluded(_reserve, _numeraire, _reserve, _reserveAssim); } } function viewCurve(Storage.Curve storage curve) external view returns ( uint256 alpha_, uint256 beta_, uint256 delta_, uint256 epsilon_, uint256 lambda_ ) { alpha_ = curve.alpha.mulu(1e18); beta_ = curve.beta.mulu(1e18); delta_ = curve.delta.mulu(1e18); epsilon_ = curve.epsilon.mulu(1e18); lambda_ = curve.lambda.mulu(1e18); } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/ERC20.sol) pragma solidity ^0.8.0; import "./IERC20.sol"; import "./extensions/IERC20Metadata.sol"; import "../../utils/Context.sol"; /** * @dev Implementation of the {IERC20} interface. * * This implementation is agnostic to the way tokens are created. This means * that a supply mechanism has to be added in a derived contract using {_mint}. * For a generic mechanism see {ERC20PresetMinterPauser}. * * TIP: For a detailed writeup see our guide * https://forum.openzeppelin.com/t/how-to-implement-erc20-supply-mechanisms/226[How * to implement supply mechanisms]. * * We have followed general OpenZeppelin Contracts guidelines: functions revert * instead returning `false` on failure. This behavior is nonetheless * conventional and does not conflict with the expectations of ERC20 * applications. * * Additionally, an {Approval} event is emitted on calls to {transferFrom}. * This allows applications to reconstruct the allowance for all accounts just * by listening to said events. Other implementations of the EIP may not emit * these events, as it isn't required by the specification. * * Finally, the non-standard {decreaseAllowance} and {increaseAllowance} * functions have been added to mitigate the well-known issues around setting * allowances. See {IERC20-approve}. */ contract ERC20 is Context, IERC20, IERC20Metadata { mapping(address => uint256) private _balances; mapping(address => mapping(address => uint256)) private _allowances; uint256 private _totalSupply; string private _name; string private _symbol; /** * @dev Sets the values for {name} and {symbol}. * * The default value of {decimals} is 18. To select a different value for * {decimals} you should overload it. * * All two of these values are immutable: they can only be set once during * construction. */ constructor(string memory name_, string memory symbol_) { _name = name_; _symbol = symbol_; } /** * @dev Returns the name of the token. */ function name() public view virtual override returns (string memory) { return _name; } /** * @dev Returns the symbol of the token, usually a shorter version of the * name. */ function symbol() public view virtual override returns (string memory) { return _symbol; } /** * @dev Returns the number of decimals used to get its user representation. * For example, if `decimals` equals `2`, a balance of `505` tokens should * be displayed to a user as `5.05` (`505 / 10 ** 2`). * * Tokens usually opt for a value of 18, imitating the relationship between * Ether and Wei. This is the value {ERC20} uses, unless this function is * overridden; * * NOTE: This information is only used for _display_ purposes: it in * no way affects any of the arithmetic of the contract, including * {IERC20-balanceOf} and {IERC20-transfer}. */ function decimals() public view virtual override returns (uint8) { return 18; } /** * @dev See {IERC20-totalSupply}. */ function totalSupply() public view virtual override returns (uint256) { return _totalSupply; } /** * @dev See {IERC20-balanceOf}. */ function balanceOf(address account) public view virtual override returns (uint256) { return _balances[account]; } /** * @dev See {IERC20-transfer}. * * Requirements: * * - `to` cannot be the zero address. * - the caller must have a balance of at least `amount`. */ function transfer(address to, uint256 amount) public virtual override returns (bool) { address owner = _msgSender(); _transfer(owner, to, amount); return true; } /** * @dev See {IERC20-allowance}. */ function allowance(address owner, address spender) public view virtual override returns (uint256) { return _allowances[owner][spender]; } /** * @dev See {IERC20-approve}. * * NOTE: If `amount` is the maximum `uint256`, the allowance is not updated on * `transferFrom`. This is semantically equivalent to an infinite approval. * * Requirements: * * - `spender` cannot be the zero address. */ function approve(address spender, uint256 amount) public virtual override returns (bool) { address owner = _msgSender(); _approve(owner, spender, amount); return true; } /** * @dev See {IERC20-transferFrom}. * * Emits an {Approval} event indicating the updated allowance. This is not * required by the EIP. See the note at the beginning of {ERC20}. * * NOTE: Does not update the allowance if the current allowance * is the maximum `uint256`. * * Requirements: * * - `from` and `to` cannot be the zero address. * - `from` must have a balance of at least `amount`. * - the caller must have allowance for ``from``'s tokens of at least * `amount`. */ function transferFrom( address from, address to, uint256 amount ) public virtual override returns (bool) { address spender = _msgSender(); _spendAllowance(from, spender, amount); _transfer(from, to, amount); return true; } /** * @dev Atomically increases the allowance granted to `spender` by the caller. * * This is an alternative to {approve} that can be used as a mitigation for * problems described in {IERC20-approve}. * * Emits an {Approval} event indicating the updated allowance. * * Requirements: * * - `spender` cannot be the zero address. */ function increaseAllowance(address spender, uint256 addedValue) public virtual returns (bool) { address owner = _msgSender(); _approve(owner, spender, allowance(owner, spender) + addedValue); return true; } /** * @dev Atomically decreases the allowance granted to `spender` by the caller. * * This is an alternative to {approve} that can be used as a mitigation for * problems described in {IERC20-approve}. * * Emits an {Approval} event indicating the updated allowance. * * Requirements: * * - `spender` cannot be the zero address. * - `spender` must have allowance for the caller of at least * `subtractedValue`. */ function decreaseAllowance(address spender, uint256 subtractedValue) public virtual returns (bool) { address owner = _msgSender(); uint256 currentAllowance = allowance(owner, spender); require(currentAllowance >= subtractedValue, "ERC20: decreased allowance below zero"); unchecked { _approve(owner, spender, currentAllowance - subtractedValue); } return true; } /** * @dev Moves `amount` of tokens from `from` to `to`. * * This internal function is equivalent to {transfer}, and can be used to * e.g. implement automatic token fees, slashing mechanisms, etc. * * Emits a {Transfer} event. * * Requirements: * * - `from` cannot be the zero address. * - `to` cannot be the zero address. * - `from` must have a balance of at least `amount`. */ function _transfer( address from, address to, uint256 amount ) internal virtual { require(from != address(0), "ERC20: transfer from the zero address"); require(to != address(0), "ERC20: transfer to the zero address"); _beforeTokenTransfer(from, to, amount); uint256 fromBalance = _balances[from]; require(fromBalance >= amount, "ERC20: transfer amount exceeds balance"); unchecked { _balances[from] = fromBalance - amount; // Overflow not possible: the sum of all balances is capped by totalSupply, and the sum is preserved by // decrementing then incrementing. _balances[to] += amount; } emit Transfer(from, to, amount); _afterTokenTransfer(from, to, amount); } /** @dev Creates `amount` tokens and assigns them to `account`, increasing * the total supply. * * Emits a {Transfer} event with `from` set to the zero address. * * Requirements: * * - `account` cannot be the zero address. */ function _mint(address account, uint256 amount) internal virtual { require(account != address(0), "ERC20: mint to the zero address"); _beforeTokenTransfer(address(0), account, amount); _totalSupply += amount; unchecked { // Overflow not possible: balance + amount is at most totalSupply + amount, which is checked above. _balances[account] += amount; } emit Transfer(address(0), account, amount); _afterTokenTransfer(address(0), account, amount); } /** * @dev Destroys `amount` tokens from `account`, reducing the * total supply. * * Emits a {Transfer} event with `to` set to the zero address. * * Requirements: * * - `account` cannot be the zero address. * - `account` must have at least `amount` tokens. */ function _burn(address account, uint256 amount) internal virtual { require(account != address(0), "ERC20: burn from the zero address"); _beforeTokenTransfer(account, address(0), amount); uint256 accountBalance = _balances[account]; require(accountBalance >= amount, "ERC20: burn amount exceeds balance"); unchecked { _balances[account] = accountBalance - amount; // Overflow not possible: amount <= accountBalance <= totalSupply. _totalSupply -= amount; } emit Transfer(account, address(0), amount); _afterTokenTransfer(account, address(0), amount); } /** * @dev Sets `amount` as the allowance of `spender` over the `owner` s tokens. * * This internal function is equivalent to `approve`, and can be used to * e.g. set automatic allowances for certain subsystems, etc. * * Emits an {Approval} event. * * Requirements: * * - `owner` cannot be the zero address. * - `spender` cannot be the zero address. */ function _approve( address owner, address spender, uint256 amount ) internal virtual { require(owner != address(0), "ERC20: approve from the zero address"); require(spender != address(0), "ERC20: approve to the zero address"); _allowances[owner][spender] = amount; emit Approval(owner, spender, amount); } /** * @dev Updates `owner` s allowance for `spender` based on spent `amount`. * * Does not update the allowance amount in case of infinite allowance. * Revert if not enough allowance is available. * * Might emit an {Approval} event. */ function _spendAllowance( address owner, address spender, uint256 amount ) internal virtual { uint256 currentAllowance = allowance(owner, spender); if (currentAllowance != type(uint256).max) { require(currentAllowance >= amount, "ERC20: insufficient allowance"); unchecked { _approve(owner, spender, currentAllowance - amount); } } } /** * @dev Hook that is called before any transfer of tokens. This includes * minting and burning. * * Calling conditions: * * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens * will be transferred to `to`. * - when `from` is zero, `amount` tokens will be minted for `to`. * - when `to` is zero, `amount` of ``from``'s tokens will be burned. * - `from` and `to` are never both zero. * * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks]. */ function _beforeTokenTransfer( address from, address to, uint256 amount ) internal virtual {} /** * @dev Hook that is called after any transfer of tokens. This includes * minting and burning. * * Calling conditions: * * - when `from` and `to` are both non-zero, `amount` of ``from``'s tokens * has been transferred to `to`. * - when `from` is zero, `amount` tokens have been minted for `to`. * - when `to` is zero, `amount` of ``from``'s tokens have been burned. * - `from` and `to` are never both zero. * * To learn more about hooks, head to xref:ROOT:extending-contracts.adoc#using-hooks[Using Hooks]. */ function _afterTokenTransfer( address from, address to, uint256 amount ) internal virtual {} }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.7.0) (token/ERC20/utils/SafeERC20.sol) pragma solidity ^0.8.0; import "../IERC20.sol"; import "../extensions/draft-IERC20Permit.sol"; import "../../../utils/Address.sol"; /** * @title SafeERC20 * @dev Wrappers around ERC20 operations that throw on failure (when the token * contract returns false). Tokens that return no value (and instead revert or * throw on failure) are also supported, non-reverting calls are assumed to be * successful. * To use this library you can add a `using SafeERC20 for IERC20;` statement to your contract, * which allows you to call the safe operations as `token.safeTransfer(...)`, etc. */ library SafeERC20 { using Address for address; function safeTransfer( IERC20 token, address to, uint256 value ) internal { _callOptionalReturn(token, abi.encodeWithSelector(token.transfer.selector, to, value)); } function safeTransferFrom( IERC20 token, address from, address to, uint256 value ) internal { _callOptionalReturn(token, abi.encodeWithSelector(token.transferFrom.selector, from, to, value)); } /** * @dev Deprecated. This function has issues similar to the ones found in * {IERC20-approve}, and its usage is discouraged. * * Whenever possible, use {safeIncreaseAllowance} and * {safeDecreaseAllowance} instead. */ function safeApprove( IERC20 token, address spender, uint256 value ) internal { // safeApprove should only be called when setting an initial allowance, // or when resetting it to zero. To increase and decrease it, use // 'safeIncreaseAllowance' and 'safeDecreaseAllowance' require( (value == 0) || (token.allowance(address(this), spender) == 0), "SafeERC20: approve from non-zero to non-zero allowance" ); _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, value)); } function safeIncreaseAllowance( IERC20 token, address spender, uint256 value ) internal { uint256 newAllowance = token.allowance(address(this), spender) + value; _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance)); } function safeDecreaseAllowance( IERC20 token, address spender, uint256 value ) internal { unchecked { uint256 oldAllowance = token.allowance(address(this), spender); require(oldAllowance >= value, "SafeERC20: decreased allowance below zero"); uint256 newAllowance = oldAllowance - value; _callOptionalReturn(token, abi.encodeWithSelector(token.approve.selector, spender, newAllowance)); } } function safePermit( IERC20Permit token, address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s ) internal { uint256 nonceBefore = token.nonces(owner); token.permit(owner, spender, value, deadline, v, r, s); uint256 nonceAfter = token.nonces(owner); require(nonceAfter == nonceBefore + 1, "SafeERC20: permit did not succeed"); } /** * @dev Imitates a Solidity high-level call (i.e. a regular function call to a contract), relaxing the requirement * on the return value: the return value is optional (but if data is returned, it must not be false). * @param token The token targeted by the call. * @param data The call data (encoded using abi.encode or one of its variants). */ function _callOptionalReturn(IERC20 token, bytes memory data) private { // We need to perform a low level call here, to bypass Solidity's return data size checking mechanism, since // we're implementing it ourselves. We use {Address-functionCall} to perform this call, which verifies that // the target address contains contract code and also asserts for success in the low-level call. bytes memory returndata = address(token).functionCall(data, "SafeERC20: low-level call failed"); if (returndata.length > 0) { // Return data is optional require(abi.decode(returndata, (bool)), "SafeERC20: ERC20 operation did not succeed"); } } }
// SPDX-License-Identifier: BSD-4-Clause /* * ABDK Math 64.64 Smart Contract Library. Copyright © 2019 by ABDK Consulting. * Author: Mikhail Vladimirov <[email protected]> */ pragma solidity ^0.8.13; /** * Smart contract library of mathematical functions operating with signed * 64.64-bit fixed point numbers. Signed 64.64-bit fixed point number is * basically a simple fraction whose numerator is signed 128-bit integer and * denominator is 2^64. As long as denominator is always the same, there is no * need to store it, thus in Solidity signed 64.64-bit fixed point numbers are * represented by int128 type holding only the numerator. */ library ABDKMath64x64 { /* * Minimum value signed 64.64-bit fixed point number may have. */ int128 private constant MIN_64x64 = -0x80000000000000000000000000000000; /* * Maximum value signed 64.64-bit fixed point number may have. */ int128 private constant MAX_64x64 = 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF; /** * Convert signed 256-bit integer number into signed 64.64-bit fixed point * number. Revert on overflow. * * @param x signed 256-bit integer number * @return signed 64.64-bit fixed point number */ function fromInt (int256 x) internal pure returns (int128) { unchecked { require (x >= -0x8000000000000000 && x <= 0x7FFFFFFFFFFFFFFF); return int128 (x << 64); } } /** * Convert signed 64.64 fixed point number into signed 64-bit integer number * rounding down. * * @param x signed 64.64-bit fixed point number * @return signed 64-bit integer number */ function toInt (int128 x) internal pure returns (int64) { unchecked { return int64 (x >> 64); } } /** * Convert unsigned 256-bit integer number into signed 64.64-bit fixed point * number. Revert on overflow. * * @param x unsigned 256-bit integer number * @return signed 64.64-bit fixed point number */ function fromUInt (uint256 x) internal pure returns (int128) { unchecked { require (x <= 0x7FFFFFFFFFFFFFFF); return int128 (int256 (x << 64)); } } /** * Convert signed 64.64 fixed point number into unsigned 64-bit integer * number rounding down. Revert on underflow. * * @param x signed 64.64-bit fixed point number * @return unsigned 64-bit integer number */ function toUInt (int128 x) internal pure returns (uint64) { unchecked { require (x >= 0); return uint64 (uint128 (x >> 64)); } } /** * Convert signed 128.128 fixed point number into signed 64.64-bit fixed point * number rounding down. Revert on overflow. * * @param x signed 128.128-bin fixed point number * @return signed 64.64-bit fixed point number */ function from128x128 (int256 x) internal pure returns (int128) { unchecked { int256 result = x >> 64; require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Convert signed 64.64 fixed point number into signed 128.128 fixed point * number. * * @param x signed 64.64-bit fixed point number * @return signed 128.128 fixed point number */ function to128x128 (int128 x) internal pure returns (int256) { unchecked { return int256 (x) << 64; } } /** * Calculate x + y. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function add (int128 x, int128 y) internal pure returns (int128) { unchecked { int256 result = int256(x) + y; require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Calculate x - y. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function sub (int128 x, int128 y) internal pure returns (int128) { unchecked { int256 result = int256(x) - y; require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Calculate x * y rounding down. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function mul (int128 x, int128 y) internal pure returns (int128) { unchecked { int256 result = int256(x) * y >> 64; require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Calculate x * y rounding towards zero, where x is signed 64.64 fixed point * number and y is signed 256-bit integer number. Revert on overflow. * * @param x signed 64.64 fixed point number * @param y signed 256-bit integer number * @return signed 256-bit integer number */ function muli (int128 x, int256 y) internal pure returns (int256) { unchecked { if (x == MIN_64x64) { require (y >= -0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF && y <= 0x1000000000000000000000000000000000000000000000000); return -y << 63; } else { bool negativeResult = false; if (x < 0) { x = -x; negativeResult = true; } if (y < 0) { y = -y; // We rely on overflow behavior here negativeResult = !negativeResult; } uint256 absoluteResult = mulu (x, uint256 (y)); if (negativeResult) { require (absoluteResult <= 0x8000000000000000000000000000000000000000000000000000000000000000); return -int256 (absoluteResult); // We rely on overflow behavior here } else { require (absoluteResult <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF); return int256 (absoluteResult); } } } } /** * Calculate x * y rounding down, where x is signed 64.64 fixed point number * and y is unsigned 256-bit integer number. Revert on overflow. * * @param x signed 64.64 fixed point number * @param y unsigned 256-bit integer number * @return unsigned 256-bit integer number */ function mulu (int128 x, uint256 y) internal pure returns (uint256) { unchecked { if (y == 0) return 0; require (x >= 0); uint256 lo = (uint256 (int256 (x)) * (y & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF)) >> 64; uint256 hi = uint256 (int256 (x)) * (y >> 128); require (hi <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF); hi <<= 64; require (hi <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF - lo); return hi + lo; } } /** * Calculate x / y rounding towards zero. Revert on overflow or when y is * zero. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function div (int128 x, int128 y) internal pure returns (int128) { unchecked { require (y != 0); int256 result = (int256 (x) << 64) / y; require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Calculate x / y rounding towards zero, where x and y are signed 256-bit * integer numbers. Revert on overflow or when y is zero. * * @param x signed 256-bit integer number * @param y signed 256-bit integer number * @return signed 64.64-bit fixed point number */ function divi (int256 x, int256 y) internal pure returns (int128) { unchecked { require (y != 0); bool negativeResult = false; if (x < 0) { x = -x; // We rely on overflow behavior here negativeResult = true; } if (y < 0) { y = -y; // We rely on overflow behavior here negativeResult = !negativeResult; } uint128 absoluteResult = divuu (uint256 (x), uint256 (y)); if (negativeResult) { require (absoluteResult <= 0x80000000000000000000000000000000); return -int128 (absoluteResult); // We rely on overflow behavior here } else { require (absoluteResult <= 0x7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF); return int128 (absoluteResult); // We rely on overflow behavior here } } } /** * Calculate x / y rounding towards zero, where x and y are unsigned 256-bit * integer numbers. Revert on overflow or when y is zero. * * @param x unsigned 256-bit integer number * @param y unsigned 256-bit integer number * @return signed 64.64-bit fixed point number */ function divu (uint256 x, uint256 y) internal pure returns (int128) { unchecked { require (y != 0); uint128 result = divuu (x, y); require (result <= uint128 (MAX_64x64)); return int128 (result); } } /** * Calculate -x. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function neg (int128 x) internal pure returns (int128) { unchecked { require (x != MIN_64x64); return -x; } } /** * Calculate |x|. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function abs (int128 x) internal pure returns (int128) { unchecked { require (x != MIN_64x64); return x < 0 ? -x : x; } } /** * Calculate 1 / x rounding towards zero. Revert on overflow or when x is * zero. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function inv (int128 x) internal pure returns (int128) { unchecked { require (x != 0); int256 result = int256 (0x100000000000000000000000000000000) / x; require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Calculate arithmetics average of x and y, i.e. (x + y) / 2 rounding down. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function avg (int128 x, int128 y) internal pure returns (int128) { unchecked { return int128 ((int256 (x) + int256 (y)) >> 1); } } /** * Calculate geometric average of x and y, i.e. sqrt (x * y) rounding down. * Revert on overflow or in case x * y is negative. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function gavg (int128 x, int128 y) internal pure returns (int128) { unchecked { int256 m = int256 (x) * int256 (y); require (m >= 0); require (m < 0x4000000000000000000000000000000000000000000000000000000000000000); return int128 (sqrtu (uint256 (m))); } } /** * Calculate x^y assuming 0^0 is 1, where x is signed 64.64 fixed point number * and y is unsigned 256-bit integer number. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @param y uint256 value * @return signed 64.64-bit fixed point number */ function pow (int128 x, uint256 y) internal pure returns (int128) { unchecked { bool negative = x < 0 && y & 1 == 1; uint256 absX = uint128 (x < 0 ? -x : x); uint256 absResult; absResult = 0x100000000000000000000000000000000; if (absX <= 0x10000000000000000) { absX <<= 63; while (y != 0) { if (y & 0x1 != 0) { absResult = absResult * absX >> 127; } absX = absX * absX >> 127; if (y & 0x2 != 0) { absResult = absResult * absX >> 127; } absX = absX * absX >> 127; if (y & 0x4 != 0) { absResult = absResult * absX >> 127; } absX = absX * absX >> 127; if (y & 0x8 != 0) { absResult = absResult * absX >> 127; } absX = absX * absX >> 127; y >>= 4; } absResult >>= 64; } else { uint256 absXShift = 63; if (absX < 0x1000000000000000000000000) { absX <<= 32; absXShift -= 32; } if (absX < 0x10000000000000000000000000000) { absX <<= 16; absXShift -= 16; } if (absX < 0x1000000000000000000000000000000) { absX <<= 8; absXShift -= 8; } if (absX < 0x10000000000000000000000000000000) { absX <<= 4; absXShift -= 4; } if (absX < 0x40000000000000000000000000000000) { absX <<= 2; absXShift -= 2; } if (absX < 0x80000000000000000000000000000000) { absX <<= 1; absXShift -= 1; } uint256 resultShift = 0; while (y != 0) { require (absXShift < 64); if (y & 0x1 != 0) { absResult = absResult * absX >> 127; resultShift += absXShift; if (absResult > 0x100000000000000000000000000000000) { absResult >>= 1; resultShift += 1; } } absX = absX * absX >> 127; absXShift <<= 1; if (absX >= 0x100000000000000000000000000000000) { absX >>= 1; absXShift += 1; } y >>= 1; } require (resultShift < 64); absResult >>= 64 - resultShift; } int256 result = negative ? -int256 (absResult) : int256 (absResult); require (result >= MIN_64x64 && result <= MAX_64x64); return int128 (result); } } /** * Calculate sqrt (x) rounding down. Revert if x < 0. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function sqrt (int128 x) internal pure returns (int128) { unchecked { require (x >= 0); return int128 (sqrtu (uint256 (int256 (x)) << 64)); } } /** * Calculate binary logarithm of x. Revert if x <= 0. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function log_2 (int128 x) internal pure returns (int128) { unchecked { require (x > 0); int256 msb = 0; int256 xc = x; if (xc >= 0x10000000000000000) { xc >>= 64; msb += 64; } if (xc >= 0x100000000) { xc >>= 32; msb += 32; } if (xc >= 0x10000) { xc >>= 16; msb += 16; } if (xc >= 0x100) { xc >>= 8; msb += 8; } if (xc >= 0x10) { xc >>= 4; msb += 4; } if (xc >= 0x4) { xc >>= 2; msb += 2; } if (xc >= 0x2) msb += 1; // No need to shift xc anymore int256 result = msb - 64 << 64; uint256 ux = uint256 (int256 (x)) << uint256 (127 - msb); for (int256 bit = 0x8000000000000000; bit > 0; bit >>= 1) { ux *= ux; uint256 b = ux >> 255; ux >>= 127 + b; result += bit * int256 (b); } return int128 (result); } } /** * Calculate natural logarithm of x. Revert if x <= 0. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function ln (int128 x) internal pure returns (int128) { unchecked { require (x > 0); return int128 (int256 ( uint256 (int256 (log_2 (x))) * 0xB17217F7D1CF79ABC9E3B39803F2F6AF >> 128)); } } /** * Calculate binary exponent of x. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function exp_2 (int128 x) internal pure returns (int128) { unchecked { require (x < 0x400000000000000000); // Overflow if (x < -0x400000000000000000) return 0; // Underflow uint256 result = 0x80000000000000000000000000000000; if (x & 0x8000000000000000 > 0) result = result * 0x16A09E667F3BCC908B2FB1366EA957D3E >> 128; if (x & 0x4000000000000000 > 0) result = result * 0x1306FE0A31B7152DE8D5A46305C85EDEC >> 128; if (x & 0x2000000000000000 > 0) result = result * 0x1172B83C7D517ADCDF7C8C50EB14A791F >> 128; if (x & 0x1000000000000000 > 0) result = result * 0x10B5586CF9890F6298B92B71842A98363 >> 128; if (x & 0x800000000000000 > 0) result = result * 0x1059B0D31585743AE7C548EB68CA417FD >> 128; if (x & 0x400000000000000 > 0) result = result * 0x102C9A3E778060EE6F7CACA4F7A29BDE8 >> 128; if (x & 0x200000000000000 > 0) result = result * 0x10163DA9FB33356D84A66AE336DCDFA3F >> 128; if (x & 0x100000000000000 > 0) result = result * 0x100B1AFA5ABCBED6129AB13EC11DC9543 >> 128; if (x & 0x80000000000000 > 0) result = result * 0x10058C86DA1C09EA1FF19D294CF2F679B >> 128; if (x & 0x40000000000000 > 0) result = result * 0x1002C605E2E8CEC506D21BFC89A23A00F >> 128; if (x & 0x20000000000000 > 0) result = result * 0x100162F3904051FA128BCA9C55C31E5DF >> 128; if (x & 0x10000000000000 > 0) result = result * 0x1000B175EFFDC76BA38E31671CA939725 >> 128; if (x & 0x8000000000000 > 0) result = result * 0x100058BA01FB9F96D6CACD4B180917C3D >> 128; if (x & 0x4000000000000 > 0) result = result * 0x10002C5CC37DA9491D0985C348C68E7B3 >> 128; if (x & 0x2000000000000 > 0) result = result * 0x1000162E525EE054754457D5995292026 >> 128; if (x & 0x1000000000000 > 0) result = result * 0x10000B17255775C040618BF4A4ADE83FC >> 128; if (x & 0x800000000000 > 0) result = result * 0x1000058B91B5BC9AE2EED81E9B7D4CFAB >> 128; if (x & 0x400000000000 > 0) result = result * 0x100002C5C89D5EC6CA4D7C8ACC017B7C9 >> 128; if (x & 0x200000000000 > 0) result = result * 0x10000162E43F4F831060E02D839A9D16D >> 128; if (x & 0x100000000000 > 0) result = result * 0x100000B1721BCFC99D9F890EA06911763 >> 128; if (x & 0x80000000000 > 0) result = result * 0x10000058B90CF1E6D97F9CA14DBCC1628 >> 128; if (x & 0x40000000000 > 0) result = result * 0x1000002C5C863B73F016468F6BAC5CA2B >> 128; if (x & 0x20000000000 > 0) result = result * 0x100000162E430E5A18F6119E3C02282A5 >> 128; if (x & 0x10000000000 > 0) result = result * 0x1000000B1721835514B86E6D96EFD1BFE >> 128; if (x & 0x8000000000 > 0) result = result * 0x100000058B90C0B48C6BE5DF846C5B2EF >> 128; if (x & 0x4000000000 > 0) result = result * 0x10000002C5C8601CC6B9E94213C72737A >> 128; if (x & 0x2000000000 > 0) result = result * 0x1000000162E42FFF037DF38AA2B219F06 >> 128; if (x & 0x1000000000 > 0) result = result * 0x10000000B17217FBA9C739AA5819F44F9 >> 128; if (x & 0x800000000 > 0) result = result * 0x1000000058B90BFCDEE5ACD3C1CEDC823 >> 128; if (x & 0x400000000 > 0) result = result * 0x100000002C5C85FE31F35A6A30DA1BE50 >> 128; if (x & 0x200000000 > 0) result = result * 0x10000000162E42FF0999CE3541B9FFFCF >> 128; if (x & 0x100000000 > 0) result = result * 0x100000000B17217F80F4EF5AADDA45554 >> 128; if (x & 0x80000000 > 0) result = result * 0x10000000058B90BFBF8479BD5A81B51AD >> 128; if (x & 0x40000000 > 0) result = result * 0x1000000002C5C85FDF84BD62AE30A74CC >> 128; if (x & 0x20000000 > 0) result = result * 0x100000000162E42FEFB2FED257559BDAA >> 128; if (x & 0x10000000 > 0) result = result * 0x1000000000B17217F7D5A7716BBA4A9AE >> 128; if (x & 0x8000000 > 0) result = result * 0x100000000058B90BFBE9DDBAC5E109CCE >> 128; if (x & 0x4000000 > 0) result = result * 0x10000000002C5C85FDF4B15DE6F17EB0D >> 128; if (x & 0x2000000 > 0) result = result * 0x1000000000162E42FEFA494F1478FDE05 >> 128; if (x & 0x1000000 > 0) result = result * 0x10000000000B17217F7D20CF927C8E94C >> 128; if (x & 0x800000 > 0) result = result * 0x1000000000058B90BFBE8F71CB4E4B33D >> 128; if (x & 0x400000 > 0) result = result * 0x100000000002C5C85FDF477B662B26945 >> 128; if (x & 0x200000 > 0) result = result * 0x10000000000162E42FEFA3AE53369388C >> 128; if (x & 0x100000 > 0) result = result * 0x100000000000B17217F7D1D351A389D40 >> 128; if (x & 0x80000 > 0) result = result * 0x10000000000058B90BFBE8E8B2D3D4EDE >> 128; if (x & 0x40000 > 0) result = result * 0x1000000000002C5C85FDF4741BEA6E77E >> 128; if (x & 0x20000 > 0) result = result * 0x100000000000162E42FEFA39FE95583C2 >> 128; if (x & 0x10000 > 0) result = result * 0x1000000000000B17217F7D1CFB72B45E1 >> 128; if (x & 0x8000 > 0) result = result * 0x100000000000058B90BFBE8E7CC35C3F0 >> 128; if (x & 0x4000 > 0) result = result * 0x10000000000002C5C85FDF473E242EA38 >> 128; if (x & 0x2000 > 0) result = result * 0x1000000000000162E42FEFA39F02B772C >> 128; if (x & 0x1000 > 0) result = result * 0x10000000000000B17217F7D1CF7D83C1A >> 128; if (x & 0x800 > 0) result = result * 0x1000000000000058B90BFBE8E7BDCBE2E >> 128; if (x & 0x400 > 0) result = result * 0x100000000000002C5C85FDF473DEA871F >> 128; if (x & 0x200 > 0) result = result * 0x10000000000000162E42FEFA39EF44D91 >> 128; if (x & 0x100 > 0) result = result * 0x100000000000000B17217F7D1CF79E949 >> 128; if (x & 0x80 > 0) result = result * 0x10000000000000058B90BFBE8E7BCE544 >> 128; if (x & 0x40 > 0) result = result * 0x1000000000000002C5C85FDF473DE6ECA >> 128; if (x & 0x20 > 0) result = result * 0x100000000000000162E42FEFA39EF366F >> 128; if (x & 0x10 > 0) result = result * 0x1000000000000000B17217F7D1CF79AFA >> 128; if (x & 0x8 > 0) result = result * 0x100000000000000058B90BFBE8E7BCD6D >> 128; if (x & 0x4 > 0) result = result * 0x10000000000000002C5C85FDF473DE6B2 >> 128; if (x & 0x2 > 0) result = result * 0x1000000000000000162E42FEFA39EF358 >> 128; if (x & 0x1 > 0) result = result * 0x10000000000000000B17217F7D1CF79AB >> 128; result >>= uint256 (int256 (63 - (x >> 64))); require (result <= uint256 (int256 (MAX_64x64))); return int128 (int256 (result)); } } /** * Calculate natural exponent of x. Revert on overflow. * * @param x signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function exp (int128 x) internal pure returns (int128) { unchecked { require (x < 0x400000000000000000); // Overflow if (x < -0x400000000000000000) return 0; // Underflow return exp_2 ( int128 (int256 (x) * 0x171547652B82FE1777D0FFDA0D23A7D12 >> 128)); } } /** * Calculate x / y rounding towards zero, where x and y are unsigned 256-bit * integer numbers. Revert on overflow or when y is zero. * * @param x unsigned 256-bit integer number * @param y unsigned 256-bit integer number * @return unsigned 64.64-bit fixed point number */ function divuu (uint256 x, uint256 y) private pure returns (uint128) { unchecked { require (y != 0); uint256 result; if (x <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF) result = (x << 64) / y; else { uint256 msb = 192; uint256 xc = x >> 192; if (xc >= 0x100000000) { xc >>= 32; msb += 32; } if (xc >= 0x10000) { xc >>= 16; msb += 16; } if (xc >= 0x100) { xc >>= 8; msb += 8; } if (xc >= 0x10) { xc >>= 4; msb += 4; } if (xc >= 0x4) { xc >>= 2; msb += 2; } if (xc >= 0x2) msb += 1; // No need to shift xc anymore result = (x << 255 - msb) / ((y - 1 >> msb - 191) + 1); require (result <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF); uint256 hi = result * (y >> 128); uint256 lo = result * (y & 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF); uint256 xh = x >> 192; uint256 xl = x << 64; if (xl < lo) xh -= 1; xl -= lo; // We rely on overflow behavior here lo = hi << 128; if (xl < lo) xh -= 1; xl -= lo; // We rely on overflow behavior here assert (xh == hi >> 128); result += xl / y; } require (result <= 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF); return uint128 (result); } } /** * Calculate sqrt (x) rounding down, where x is unsigned 256-bit integer * number. * * @param x unsigned 256-bit integer number * @return unsigned 128-bit integer number */ function sqrtu (uint256 x) private pure returns (uint128) { unchecked { if (x == 0) return 0; else { uint256 xx = x; uint256 r = 1; if (xx >= 0x100000000000000000000000000000000) { xx >>= 128; r <<= 64; } if (xx >= 0x10000000000000000) { xx >>= 64; r <<= 32; } if (xx >= 0x100000000) { xx >>= 32; r <<= 16; } if (xx >= 0x10000) { xx >>= 16; r <<= 8; } if (xx >= 0x100) { xx >>= 8; r <<= 4; } if (xx >= 0x10) { xx >>= 4; r <<= 2; } if (xx >= 0x8) { r <<= 1; } r = (r + x / r) >> 1; r = (r + x / r) >> 1; r = (r + x / r) >> 1; r = (r + x / r) >> 1; r = (r + x / r) >> 1; r = (r + x / r) >> 1; r = (r + x / r) >> 1; // Seven iterations should be enough uint256 r1 = x / r; return uint128 (r < r1 ? r : r1); } } } }
// SPDX-License-Identifier: MIT // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/>. pragma solidity ^0.8.13; import "./interfaces/IOracle.sol"; import "./Assimilators.sol"; contract Storage { struct Curve { // Curve parameters int128 alpha; int128 beta; int128 delta; int128 epsilon; int128 lambda; int128[] weights; // Assets and their assimilators Assimilator[] assets; mapping(address => Assimilator) assimilators; // Oracles to determine the price // Note that 0'th index should always be USDC 1e18 // Oracle's pricing should be denominated in Currency/USDC mapping(address => IOracle) oracles; // ERC20 Interface uint256 totalSupply; mapping(address => uint256) balances; mapping(address => mapping(address => uint256)) allowances; } struct Assimilator { address addr; uint8 ix; } // Curve parameters Curve public curve; // Ownable address public owner; string public name; string public symbol; uint8 public constant decimals = 18; address[] public derivatives; address[] public numeraires; address[] public reserves; // Curve operational state bool public frozen = false; bool public emergency = false; bool public whitelistingStage = true; bool internal notEntered = true; mapping(address => uint256) public whitelistedDeposited; }
// SPDX-License-Identifier: MIT // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/>. pragma solidity ^0.8.13; import "./Storage.sol"; import "./lib/UnsafeMath64x64.sol"; import "./lib/ABDKMath64x64.sol"; library CurveMath { int128 private constant ONE = 0x10000000000000000; int128 private constant MAX = 0x4000000000000000; // .25 in layman's terms int128 private constant MAX_DIFF = -0x10C6F7A0B5EE; int128 private constant ONE_WEI = 0x12; using ABDKMath64x64 for int128; using UnsafeMath64x64 for int128; using ABDKMath64x64 for uint256; // This is used to prevent stack too deep errors function calculateFee( int128 _gLiq, int128[] memory _bals, Storage.Curve storage curve, int128[] memory _weights ) internal view returns (int128 psi_) { int128 _beta = curve.beta; int128 _delta = curve.delta; psi_ = calculateFee(_gLiq, _bals, _beta, _delta, _weights); } function calculateFee( int128 _gLiq, int128[] memory _bals, int128 _beta, int128 _delta, int128[] memory _weights ) internal pure returns (int128 psi_) { uint256 _length = _bals.length; for (uint256 i = 0; i < _length; i++) { int128 _ideal = _gLiq.mul(_weights[i]); psi_ += calculateMicroFee(_bals[i], _ideal, _beta, _delta); } } function calculateMicroFee( int128 _bal, int128 _ideal, int128 _beta, int128 _delta ) private pure returns (int128 fee_) { if (_bal < _ideal) { int128 _threshold = _ideal.mul(ONE - _beta); if (_bal < _threshold) { int128 _feeMargin = _threshold - _bal; fee_ = _feeMargin.mul(_delta); fee_ = fee_.div(_ideal); if (fee_ > MAX) fee_ = MAX; fee_ = fee_.mul(_feeMargin); } else fee_ = 0; } else { int128 _threshold = _ideal.mul(ONE + _beta); if (_bal > _threshold) { int128 _feeMargin = _bal - _threshold; fee_ = _feeMargin.mul(_delta); fee_ = fee_.div(_ideal); if (fee_ > MAX) fee_ = MAX; fee_ = fee_.mul(_feeMargin); } else fee_ = 0; } } function calculateTrade( Storage.Curve storage curve, int128 _oGLiq, int128 _nGLiq, int128[] memory _oBals, int128[] memory _nBals, int128 _inputAmt, uint256 _outputIndex ) internal view returns (int128 outputAmt_) { outputAmt_ = -_inputAmt; int128 _lambda = curve.lambda; int128[] memory _weights = curve.weights; int128 _omega = calculateFee(_oGLiq, _oBals, curve, _weights); int128 _psi; for (uint256 i = 0; i < 32; i++) { _psi = calculateFee(_nGLiq, _nBals, curve, _weights); int128 prevAmount; { prevAmount = outputAmt_; outputAmt_ = _omega < _psi ? -(_inputAmt + _omega - _psi) : -(_inputAmt + _lambda.mul(_omega - _psi)); // outputAmt_ = _omega < _psi ? -(_inputAmt + _omega - _psi) : -(_inputAmt +_omega - _psi); } if (outputAmt_ / 1e13 == prevAmount / 1e13) { _nGLiq = _oGLiq + _inputAmt + outputAmt_; _nBals[_outputIndex] = _oBals[_outputIndex] + outputAmt_; enforceHalts(curve, _oGLiq, _nGLiq, _oBals, _nBals, _weights); enforceSwapInvariant(_oGLiq, _omega, _nGLiq, _psi); return outputAmt_; } else { _nGLiq = _oGLiq + _inputAmt + outputAmt_; _nBals[_outputIndex] = _oBals[_outputIndex].add(outputAmt_); } } revert("Curve/swap-convergence-failed"); } function calculateLiquidityMembrane( Storage.Curve storage curve, int128 _oGLiq, int128 _nGLiq, int128[] memory _oBals, int128[] memory _nBals ) internal view returns (int128 curves_) { enforceHalts(curve, _oGLiq, _nGLiq, _oBals, _nBals, curve.weights); int128 _omega; int128 _psi; { int128 _beta = curve.beta; int128 _delta = curve.delta; int128[] memory _weights = curve.weights; _omega = calculateFee(_oGLiq, _oBals, _beta, _delta, _weights); _psi = calculateFee(_nGLiq, _nBals, _beta, _delta, _weights); } int128 _feeDiff = _psi.sub(_omega); int128 _liqDiff = _nGLiq.sub(_oGLiq); int128 _oUtil = _oGLiq.sub(_omega); int128 _totalShells = curve.totalSupply.divu(1e18); int128 _curveMultiplier; if (_totalShells == 0) { curves_ = _nGLiq.sub(_psi); } else if (_feeDiff >= 0) { _curveMultiplier = _liqDiff.sub(_feeDiff).div(_oUtil); } else { _curveMultiplier = _liqDiff.sub(curve.lambda.mul(_feeDiff)); _curveMultiplier = _curveMultiplier.div(_oUtil); } if (_totalShells != 0) { curves_ = _totalShells.mul(_curveMultiplier); } } function enforceSwapInvariant( int128 _oGLiq, int128 _omega, int128 _nGLiq, int128 _psi ) private pure { int128 _nextUtil = _nGLiq - _psi; int128 _prevUtil = _oGLiq - _omega; int128 _diff = _nextUtil - _prevUtil; require(0 < _diff || _diff >= MAX_DIFF, "Curve/swap-invariant-violation"); } function enforceHalts( Storage.Curve storage curve, int128 _oGLiq, int128 _nGLiq, int128[] memory _oBals, int128[] memory _nBals, int128[] memory _weights ) private view { uint256 _length = _nBals.length; int128 _alpha = curve.alpha; for (uint256 i = 0; i < _length; i++) { int128 _nIdeal = _nGLiq.mul(_weights[i]); if (_nBals[i] > _nIdeal) { int128 _upperAlpha = ONE + _alpha; int128 _nHalt = _nIdeal.mul(_upperAlpha); if (_nBals[i] > _nHalt) { int128 _oHalt = _oGLiq.mul(_weights[i]).mul(_upperAlpha); if (_oBals[i] < _oHalt) revert("Curve/upper-halt"); if (_nBals[i] - _nHalt > _oBals[i] - _oHalt) revert("Curve/upper-halt"); } } else { int128 _lowerAlpha = ONE - _alpha; int128 _nHalt = _nIdeal.mul(_lowerAlpha); if (_nBals[i] < _nHalt) { int128 _oHalt = _oGLiq.mul(_weights[i]); _oHalt = _oHalt.mul(_lowerAlpha); if (_oBals[i] > _oHalt) revert("Curve/lower-halt"); if (_nHalt - _nBals[i] > _oHalt - _oBals[i]) revert("Curve/lower-halt"); } } } } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.6.0) (token/ERC20/IERC20.sol) pragma solidity ^0.8.0; /** * @dev Interface of the ERC20 standard as defined in the EIP. */ interface IERC20 { /** * @dev Emitted when `value` tokens are moved from one account (`from`) to * another (`to`). * * Note that `value` may be zero. */ event Transfer(address indexed from, address indexed to, uint256 value); /** * @dev Emitted when the allowance of a `spender` for an `owner` is set by * a call to {approve}. `value` is the new allowance. */ event Approval(address indexed owner, address indexed spender, uint256 value); /** * @dev Returns the amount of tokens in existence. */ function totalSupply() external view returns (uint256); /** * @dev Returns the amount of tokens owned by `account`. */ function balanceOf(address account) external view returns (uint256); /** * @dev Moves `amount` tokens from the caller's account to `to`. * * Returns a boolean value indicating whether the operation succeeded. * * Emits a {Transfer} event. */ function transfer(address to, uint256 amount) external returns (bool); /** * @dev Returns the remaining number of tokens that `spender` will be * allowed to spend on behalf of `owner` through {transferFrom}. This is * zero by default. * * This value changes when {approve} or {transferFrom} are called. */ function allowance(address owner, address spender) external view returns (uint256); /** * @dev Sets `amount` as the allowance of `spender` over the caller's tokens. * * Returns a boolean value indicating whether the operation succeeded. * * IMPORTANT: Beware that changing an allowance with this method brings the risk * that someone may use both the old and the new allowance by unfortunate * transaction ordering. One possible solution to mitigate this race * condition is to first reduce the spender's allowance to 0 and set the * desired value afterwards: * https://github.com/ethereum/EIPs/issues/20#issuecomment-263524729 * * Emits an {Approval} event. */ function approve(address spender, uint256 amount) external returns (bool); /** * @dev Moves `amount` tokens from `from` to `to` using the * allowance mechanism. `amount` is then deducted from the caller's * allowance. * * Returns a boolean value indicating whether the operation succeeded. * * Emits a {Transfer} event. */ function transferFrom( address from, address to, uint256 amount ) external returns (bool); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/IERC20Metadata.sol) pragma solidity ^0.8.0; import "../IERC20.sol"; /** * @dev Interface for the optional metadata functions from the ERC20 standard. * * _Available since v4.1._ */ interface IERC20Metadata is IERC20 { /** * @dev Returns the name of the token. */ function name() external view returns (string memory); /** * @dev Returns the symbol of the token. */ function symbol() external view returns (string memory); /** * @dev Returns the decimals places of the token. */ function decimals() external view returns (uint8); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (utils/Context.sol) pragma solidity ^0.8.0; /** * @dev Provides information about the current execution context, including the * sender of the transaction and its data. While these are generally available * via msg.sender and msg.data, they should not be accessed in such a direct * manner, since when dealing with meta-transactions the account sending and * paying for execution may not be the actual sender (as far as an application * is concerned). * * This contract is only required for intermediate, library-like contracts. */ abstract contract Context { function _msgSender() internal view virtual returns (address) { return msg.sender; } function _msgData() internal view virtual returns (bytes calldata) { return msg.data; } }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts v4.4.1 (token/ERC20/extensions/draft-IERC20Permit.sol) pragma solidity ^0.8.0; /** * @dev Interface of the ERC20 Permit extension allowing approvals to be made via signatures, as defined in * https://eips.ethereum.org/EIPS/eip-2612[EIP-2612]. * * Adds the {permit} method, which can be used to change an account's ERC20 allowance (see {IERC20-allowance}) by * presenting a message signed by the account. By not relying on {IERC20-approve}, the token holder account doesn't * need to send a transaction, and thus is not required to hold Ether at all. */ interface IERC20Permit { /** * @dev Sets `value` as the allowance of `spender` over ``owner``'s tokens, * given ``owner``'s signed approval. * * IMPORTANT: The same issues {IERC20-approve} has related to transaction * ordering also apply here. * * Emits an {Approval} event. * * Requirements: * * - `spender` cannot be the zero address. * - `deadline` must be a timestamp in the future. * - `v`, `r` and `s` must be a valid `secp256k1` signature from `owner` * over the EIP712-formatted function arguments. * - the signature must use ``owner``'s current nonce (see {nonces}). * * For more information on the signature format, see the * https://eips.ethereum.org/EIPS/eip-2612#specification[relevant EIP * section]. */ function permit( address owner, address spender, uint256 value, uint256 deadline, uint8 v, bytes32 r, bytes32 s ) external; /** * @dev Returns the current nonce for `owner`. This value must be * included whenever a signature is generated for {permit}. * * Every successful call to {permit} increases ``owner``'s nonce by one. This * prevents a signature from being used multiple times. */ function nonces(address owner) external view returns (uint256); /** * @dev Returns the domain separator used in the encoding of the signature for {permit}, as defined by {EIP712}. */ // solhint-disable-next-line func-name-mixedcase function DOMAIN_SEPARATOR() external view returns (bytes32); }
// SPDX-License-Identifier: MIT // OpenZeppelin Contracts (last updated v4.7.0) (utils/Address.sol) pragma solidity ^0.8.1; /** * @dev Collection of functions related to the address type */ library Address { /** * @dev Returns true if `account` is a contract. * * [IMPORTANT] * ==== * It is unsafe to assume that an address for which this function returns * false is an externally-owned account (EOA) and not a contract. * * Among others, `isContract` will return false for the following * types of addresses: * * - an externally-owned account * - a contract in construction * - an address where a contract will be created * - an address where a contract lived, but was destroyed * ==== * * [IMPORTANT] * ==== * You shouldn't rely on `isContract` to protect against flash loan attacks! * * Preventing calls from contracts is highly discouraged. It breaks composability, breaks support for smart wallets * like Gnosis Safe, and does not provide security since it can be circumvented by calling from a contract * constructor. * ==== */ function isContract(address account) internal view returns (bool) { // This method relies on extcodesize/address.code.length, which returns 0 // for contracts in construction, since the code is only stored at the end // of the constructor execution. return account.code.length > 0; } /** * @dev Replacement for Solidity's `transfer`: sends `amount` wei to * `recipient`, forwarding all available gas and reverting on errors. * * https://eips.ethereum.org/EIPS/eip-1884[EIP1884] increases the gas cost * of certain opcodes, possibly making contracts go over the 2300 gas limit * imposed by `transfer`, making them unable to receive funds via * `transfer`. {sendValue} removes this limitation. * * https://consensys.net/diligence/blog/2019/09/stop-using-soliditys-transfer-now/[Learn more]. * * IMPORTANT: because control is transferred to `recipient`, care must be * taken to not create reentrancy vulnerabilities. Consider using * {ReentrancyGuard} or the * https://solidity.readthedocs.io/en/v0.5.11/security-considerations.html#use-the-checks-effects-interactions-pattern[checks-effects-interactions pattern]. */ function sendValue(address payable recipient, uint256 amount) internal { require(address(this).balance >= amount, "Address: insufficient balance"); (bool success, ) = recipient.call{value: amount}(""); require(success, "Address: unable to send value, recipient may have reverted"); } /** * @dev Performs a Solidity function call using a low level `call`. A * plain `call` is an unsafe replacement for a function call: use this * function instead. * * If `target` reverts with a revert reason, it is bubbled up by this * function (like regular Solidity function calls). * * Returns the raw returned data. To convert to the expected return value, * use https://solidity.readthedocs.io/en/latest/units-and-global-variables.html?highlight=abi.decode#abi-encoding-and-decoding-functions[`abi.decode`]. * * Requirements: * * - `target` must be a contract. * - calling `target` with `data` must not revert. * * _Available since v3.1._ */ function functionCall(address target, bytes memory data) internal returns (bytes memory) { return functionCallWithValue(target, data, 0, "Address: low-level call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], but with * `errorMessage` as a fallback revert reason when `target` reverts. * * _Available since v3.1._ */ function functionCall( address target, bytes memory data, string memory errorMessage ) internal returns (bytes memory) { return functionCallWithValue(target, data, 0, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but also transferring `value` wei to `target`. * * Requirements: * * - the calling contract must have an ETH balance of at least `value`. * - the called Solidity function must be `payable`. * * _Available since v3.1._ */ function functionCallWithValue( address target, bytes memory data, uint256 value ) internal returns (bytes memory) { return functionCallWithValue(target, data, value, "Address: low-level call with value failed"); } /** * @dev Same as {xref-Address-functionCallWithValue-address-bytes-uint256-}[`functionCallWithValue`], but * with `errorMessage` as a fallback revert reason when `target` reverts. * * _Available since v3.1._ */ function functionCallWithValue( address target, bytes memory data, uint256 value, string memory errorMessage ) internal returns (bytes memory) { require(address(this).balance >= value, "Address: insufficient balance for call"); (bool success, bytes memory returndata) = target.call{value: value}(data); return verifyCallResultFromTarget(target, success, returndata, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but performing a static call. * * _Available since v3.3._ */ function functionStaticCall(address target, bytes memory data) internal view returns (bytes memory) { return functionStaticCall(target, data, "Address: low-level static call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`], * but performing a static call. * * _Available since v3.3._ */ function functionStaticCall( address target, bytes memory data, string memory errorMessage ) internal view returns (bytes memory) { (bool success, bytes memory returndata) = target.staticcall(data); return verifyCallResultFromTarget(target, success, returndata, errorMessage); } /** * @dev Same as {xref-Address-functionCall-address-bytes-}[`functionCall`], * but performing a delegate call. * * _Available since v3.4._ */ function functionDelegateCall(address target, bytes memory data) internal returns (bytes memory) { return functionDelegateCall(target, data, "Address: low-level delegate call failed"); } /** * @dev Same as {xref-Address-functionCall-address-bytes-string-}[`functionCall`], * but performing a delegate call. * * _Available since v3.4._ */ function functionDelegateCall( address target, bytes memory data, string memory errorMessage ) internal returns (bytes memory) { (bool success, bytes memory returndata) = target.delegatecall(data); return verifyCallResultFromTarget(target, success, returndata, errorMessage); } /** * @dev Tool to verify that a low level call to smart-contract was successful, and revert (either by bubbling * the revert reason or using the provided one) in case of unsuccessful call or if target was not a contract. * * _Available since v4.8._ */ function verifyCallResultFromTarget( address target, bool success, bytes memory returndata, string memory errorMessage ) internal view returns (bytes memory) { if (success) { if (returndata.length == 0) { // only check isContract if the call was successful and the return data is empty // otherwise we already know that it was a contract require(isContract(target), "Address: call to non-contract"); } return returndata; } else { _revert(returndata, errorMessage); } } /** * @dev Tool to verify that a low level call was successful, and revert if it wasn't, either by bubbling the * revert reason or using the provided one. * * _Available since v4.3._ */ function verifyCallResult( bool success, bytes memory returndata, string memory errorMessage ) internal pure returns (bytes memory) { if (success) { return returndata; } else { _revert(returndata, errorMessage); } } function _revert(bytes memory returndata, string memory errorMessage) private pure { // Look for revert reason and bubble it up if present if (returndata.length > 0) { // The easiest way to bubble the revert reason is using memory via assembly /// @solidity memory-safe-assembly assembly { let returndata_size := mload(returndata) revert(add(32, returndata), returndata_size) } } else { revert(errorMessage); } } }
// SPDX-License-Identifier: MIT // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/>. pragma solidity ^0.8.13; interface IOracle { function acceptOwnership() external; function accessController() external view returns (address); function aggregator() external view returns (address); function confirmAggregator(address _aggregator) external; function decimals() external view returns (uint8); function description() external view returns (string memory); function getAnswer(uint256 _roundId) external view returns (int256); function getRoundData(uint80 _roundId) external view returns ( uint80 roundId, int256 answer, uint256 startedAt, uint256 updatedAt, uint80 answeredInRound ); function getTimestamp(uint256 _roundId) external view returns (uint256); function latestAnswer() external view returns (int256); function latestRound() external view returns (uint256); function latestRoundData() external view returns ( uint80 roundId, int256 answer, uint256 startedAt, uint256 updatedAt, uint80 answeredInRound ); function latestTimestamp() external view returns (uint256); function owner() external view returns (address); function phaseAggregators(uint16) external view returns (address); function phaseId() external view returns (uint16); function proposeAggregator(address _aggregator) external; function proposedAggregator() external view returns (address); function proposedGetRoundData(uint80 _roundId) external view returns ( uint80 roundId, int256 answer, uint256 startedAt, uint256 updatedAt, uint80 answeredInRound ); function proposedLatestRoundData() external view returns ( uint80 roundId, int256 answer, uint256 startedAt, uint256 updatedAt, uint80 answeredInRound ); function setController(address _accessController) external; function transferOwnership(address _to) external; function version() external view returns (uint256); }
// SPDX-License-Identifier: MIT // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/>. pragma solidity ^0.8.13; import "../lib/openzeppelin-contracts/contracts/utils/Address.sol"; import "./interfaces/IAssimilator.sol"; import "./lib/ABDKMath64x64.sol"; library Assimilators { using ABDKMath64x64 for int128; using Address for address; IAssimilator public constant iAsmltr = IAssimilator(address(0)); function delegate(address _callee, bytes memory _data) internal returns (bytes memory) { require(_callee.isContract(), "Assimilators/callee-is-not-a-contract"); // solhint-disable-next-line (bool _success, bytes memory returnData_) = _callee.delegatecall(_data); // solhint-disable-next-line assembly { if eq(_success, 0) { revert(add(returnData_, 0x20), returndatasize()) } } return returnData_; } function getRate(address _assim) internal view returns (uint256 amount_) { amount_ = IAssimilator(_assim).getRate(); } function viewRawAmount(address _assim, int128 _amt) internal view returns (uint256 amount_) { amount_ = IAssimilator(_assim).viewRawAmount(_amt); } function viewRawAmountLPRatio( address _assim, uint256 _baseWeight, uint256 _quoteWeight, int128 _amount ) internal view returns (uint256 amount_) { amount_ = IAssimilator(_assim).viewRawAmountLPRatio(_baseWeight, _quoteWeight, address(this), _amount); } function viewNumeraireAmount(address _assim, uint256 _amt) internal view returns (int128 amt_) { amt_ = IAssimilator(_assim).viewNumeraireAmount(_amt); } function viewNumeraireAmountAndBalance(address _assim, uint256 _amt) internal view returns (int128 amt_, int128 bal_) { (amt_, bal_) = IAssimilator(_assim).viewNumeraireAmountAndBalance(address(this), _amt); } function viewNumeraireBalance(address _assim) internal view returns (int128 bal_) { bal_ = IAssimilator(_assim).viewNumeraireBalance(address(this)); } function viewNumeraireBalanceLPRatio( uint256 _baseWeight, uint256 _quoteWeight, address _assim ) internal view returns (int128 bal_) { bal_ = IAssimilator(_assim).viewNumeraireBalanceLPRatio(_baseWeight, _quoteWeight, address(this)); } function intakeRaw(address _assim, uint256 _amt) internal returns (int128 amt_) { bytes memory data = abi.encodeWithSelector(iAsmltr.intakeRaw.selector, _amt); amt_ = abi.decode(delegate(_assim, data), (int128)); } function intakeRawAndGetBalance(address _assim, uint256 _amt) internal returns (int128 amt_, int128 bal_) { bytes memory data = abi.encodeWithSelector(iAsmltr.intakeRawAndGetBalance.selector, _amt); (amt_, bal_) = abi.decode(delegate(_assim, data), (int128, int128)); } function intakeNumeraire(address _assim, int128 _amt) internal returns (uint256 amt_) { bytes memory data = abi.encodeWithSelector(iAsmltr.intakeNumeraire.selector, _amt); amt_ = abi.decode(delegate(_assim, data), (uint256)); } function intakeNumeraireLPRatio( address _assim, uint256 _baseWeight, uint256 _quoteWeight, int128 _amount ) internal returns (uint256 amt_) { bytes memory data = abi.encodeWithSelector( iAsmltr.intakeNumeraireLPRatio.selector, _baseWeight, _quoteWeight, address(this), _amount ); amt_ = abi.decode(delegate(_assim, data), (uint256)); } function outputRaw( address _assim, address _dst, uint256 _amt ) internal returns (int128 amt_) { bytes memory data = abi.encodeWithSelector(iAsmltr.outputRaw.selector, _dst, _amt); amt_ = abi.decode(delegate(_assim, data), (int128)); amt_ = amt_.neg(); } function outputRawAndGetBalance( address _assim, address _dst, uint256 _amt ) internal returns (int128 amt_, int128 bal_) { bytes memory data = abi.encodeWithSelector(iAsmltr.outputRawAndGetBalance.selector, _dst, _amt); (amt_, bal_) = abi.decode(delegate(_assim, data), (int128, int128)); amt_ = amt_.neg(); } function outputNumeraire( address _assim, address _dst, int128 _amt ) internal returns (uint256 amt_) { bytes memory data = abi.encodeWithSelector(iAsmltr.outputNumeraire.selector, _dst, _amt.abs()); amt_ = abi.decode(delegate(_assim, data), (uint256)); } function transferFee( address _assim, int128 _amt, address _treasury ) internal { bytes memory data = abi.encodeWithSelector(iAsmltr.transferFee.selector, _amt, _treasury); delegate(_assim, data); } }
// SPDX-License-Identifier: MIT // This program is free software: you can redistribute it and/or modify // it under the terms of the GNU General Public License as published by // the Free Software Foundation, either version 3 of the License, or // (at your option) any later version. // This program is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // You should have received a copy of the GNU General Public License // along with this program. If not, see <http://www.gnu.org/licenses/>. pragma solidity ^0.8.13; interface IAssimilator { function getRate() external view returns (uint256); function intakeRaw(uint256 amount) external returns (int128); function intakeRawAndGetBalance(uint256 amount) external returns (int128, int128); function intakeNumeraire(int128 amount) external returns (uint256); function intakeNumeraireLPRatio( uint256, uint256, address, int128 ) external returns (uint256); function outputRaw(address dst, uint256 amount) external returns (int128); function outputRawAndGetBalance(address dst, uint256 amount) external returns (int128, int128); function outputNumeraire(address dst, int128 amount) external returns (uint256); function viewRawAmount(int128) external view returns (uint256); function viewRawAmountLPRatio( uint256, uint256, address, int128 ) external view returns (uint256); function viewNumeraireAmount(uint256) external view returns (int128); function viewNumeraireBalanceLPRatio( uint256, uint256, address ) external view returns (int128); function viewNumeraireBalance(address) external view returns (int128); function viewNumeraireAmountAndBalance(address, uint256) external view returns (int128, int128); function transferFee(int128, address) external returns (bool); }
// SPDX-License-Identifier: MIT pragma solidity ^0.8.13; library UnsafeMath64x64 { /** * Calculate x * y rounding down. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function us_mul (int128 x, int128 y) internal pure returns (int128) { int256 result = int256(x) * y >> 64; return int128 (result); } /** * Calculate x / y rounding towards zero. Revert on overflow or when y is * zero. * * @param x signed 64.64-bit fixed point number * @param y signed 64.64-bit fixed point number * @return signed 64.64-bit fixed point number */ function us_div (int128 x, int128 y) internal pure returns (int128) { int256 result = (int256 (x) << 64) / y; return int128 (result); } }
{ "optimizer": { "enabled": true, "runs": 200 }, "outputSelection": { "*": { "*": [ "evm.bytecode", "evm.deployedBytecode", "devdoc", "userdoc", "metadata", "abi" ] } }, "libraries": {} }
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[{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"numeraire","type":"address"},{"indexed":true,"internalType":"address","name":"reserve","type":"address"},{"indexed":false,"internalType":"uint256","name":"weight","type":"uint256"}],"name":"AssetIncluded","type":"event"},{"anonymous":false,"inputs":[{"indexed":true,"internalType":"address","name":"derivative","type":"address"},{"indexed":true,"internalType":"address","name":"numeraire","type":"address"},{"indexed":true,"internalType":"address","name":"reserve","type":"address"},{"indexed":false,"internalType":"address","name":"assimilator","type":"address"}],"name":"AssimilatorIncluded","type":"event"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"alpha","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"beta","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"delta","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"epsilon","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"lambda","type":"uint256"}],"name":"ParametersSet","type":"event"}]
Contract Creation Code
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Multichain Portfolio | 31 Chains
Chain | Token | Portfolio % | Price | Amount | Value |
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A contract address hosts a smart contract, which is a set of code stored on the blockchain that runs when predetermined conditions are met. Learn more about addresses in our Knowledge Base.