{
    "Function": "baseOutForFYTokenIn",
    "File": "contracts/yieldspace/YieldMath.sol",
    "Parent Contracts": [],
    "High-Level Calls": [
        "Exp64x64",
        "Exp64x64",
        "Exp64x64",
        "Exp64x64"
    ],
    "Internal Calls": [
        "require(bool,string)",
        "require(bool,string)",
        "require(bool,string)",
        "_computeA"
    ],
    "Library Calls": [
        "pow",
        "pow",
        "pow",
        "pow"
    ],
    "Low-Level Calls": [],
    "Code": "function baseOutForFYTokenIn(\r\n    uint128 baseReserves, uint128 fyTokenReserves, uint128 fyTokenAmount,\r\n    uint128 timeTillMaturity, int128 k, int128 g)\r\n  public pure returns(uint128) {\r\n    unchecked {\r\n      uint128 a = _computeA(timeTillMaturity, k, g);\r\n\r\n      // za = baseReserves ** a\r\n      uint256 za = baseReserves.pow(a, ONE);\r\n\r\n      // ya = fyTokenReserves ** a\r\n      uint256 ya = fyTokenReserves.pow(a, ONE);\r\n\r\n      // yx = fyDayReserves + fyTokenAmount\r\n      uint256 yx = uint256(fyTokenReserves) + uint256(fyTokenAmount);\r\n      require(yx <= MAX, \"YieldMath: Too much fyToken in\");\r\n\r\n      // yxa = yx ** a\r\n      uint256 yxa = uint128(yx).pow(a, ONE);\r\n\r\n      // sum = za + ya - yxa\r\n      uint256 sum = za + ya - yxa; // z < MAX, y < MAX, a < 1. It can only underflow, not overflow.\r\n      require(sum <= MAX, \"YieldMath: Insufficient base reserves\");\r\n\r\n      // result = baseReserves - (sum ** (1/a))\r\n      uint256 result = uint256(baseReserves) - uint256(uint128(sum).pow(ONE, a));\r\n      require(result <= MAX, \"YieldMath: Rounding induced error\");\r\n\r\n      result = result > VAR ? result - VAR : 0; // Subtract error guard, flooring the result at zero\r\n\r\n      return uint128(result);\r\n    }\r\n  }"
}