{
    "Function": "fyTokenInForBaseOut",
    "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 fyTokenInForBaseOut(\r\n    uint128 baseReserves, uint128 fyTokenReserves, uint128 baseAmount,\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      // zx = baseReserves - baseAmount\r\n      uint256 zx = uint256(baseReserves) - uint256(baseAmount);\r\n      require(zx <= MAX, \"YieldMath: Too much base out\");\r\n\r\n      // zxa = zx ** a\r\n      uint256 zxa = uint128(zx).pow(a, ONE);\r\n\r\n      // sum = za + ya - zxa\r\n      uint256 sum = za + ya - zxa; // z < MAX, y < MAX, a < 1. It can only underflow, not overflow.\r\n      require(sum <= MAX, \"YieldMath: Resulting fyToken reserves too high\");\r\n\r\n      // result = (sum ** (1/a)) - fyTokenReserves\r\n      uint256 result = uint256(uint128(sum).pow(ONE, a)) - uint256(fyTokenReserves);\r\n      require(result <= MAX, \"YieldMath: Rounding induced error\");\r\n\r\n      result = result < MAX - VAR ? result + VAR : MAX; // Add error guard, ceiling the result at max\r\n\r\n      return uint128(result);\r\n    }\r\n  }"
}