// SPDX-License-Identifier: MIT
pragma solidity 0.8.9;

import { IReputation } from "./lib/interfaces/IReputation.sol";
import { Owned } from "./lib/auth/Owned.sol";
import { FixedPointMathLib as WADMath } from "./lib/utils/FixedPointMathLib.sol";

contract Reputation is IReputation, Owned(msg.sender) {
    using WADMath for uint256;

    /// @dev Asymptote numerator constant value for the `limiter` fx.
    uint256 public constant maxLimit = 1e6;
    /// @dev Denominator's constant operand for the `limiter` fx.
    uint256 public constant magicValue = 2.5e11;

    constructor() /*  */ {
        /*  */
    }

    function limiter(
        uint256 _userCredit
    )
        external
        pure
        override(IReputation)
        returns (uint256 _spendLimit)
    {
        // _spendLimit = 1 + ( ( maxLimit * _userCredit ) / sqrt( magicValue * ( _userCredit * _userCredit ) ) );
        // return _spendLimit;

        unchecked {
            uint256 numeratorWad = maxLimit.mulWadDown(
                _userCredit
            );
            uint256 userCreditSquaredWad = _userCredit
                .mulWadDown(_userCredit);
            uint256 denominatorSqrtWad = (
                userCreditSquaredWad.mulWadDown(magicValue)
            ).sqrt();

            _spendLimit = (1 +
                (numeratorWad).divWadDown(
                    denominatorSqrtWad
                ));
        }
    }
}