{
    "Function": "rpow",
    "File": "src/FixedPointMathLib.sol",
    "Parent Contracts": [],
    "High-Level Calls": [],
    "Internal Calls": [
        "revert(uint256,uint256)",
        "revert(uint256,uint256)",
        "revert(uint256,uint256)",
        "revert(uint256,uint256)"
    ],
    "Library Calls": [],
    "Low-Level Calls": [],
    "Code": "function rpow(\n        uint256 x,\n        uint256 n,\n        uint256 scalar\n    ) internal pure returns (uint256 z) {\n        assembly {\n            switch x\n            case 0 {\n                switch n\n                case 0 {\n                    // 0 ** 0 = 1\n                    z := scalar\n                }\n                default {\n                    // 0 ** n = 0\n                    z := 0\n                }\n            }\n            default {\n                switch mod(n, 2)\n                case 0 {\n                    // If n is even, store scalar in z for now.\n                    z := scalar\n                }\n                default {\n                    // If n is odd, store x in z for now.\n                    z := x\n                }\n\n                // Shifting right by 1 is like dividing by 2.\n                let half := shr(1, scalar)\n\n                for {\n                    // Shift n right by 1 before looping to halve it.\n                    n := shr(1, n)\n                } n {\n                    // Shift n right by 1 each iteration to halve it.\n                    n := shr(1, n)\n                } {\n                    // Revert immediately if x ** 2 would overflow.\n                    // Equivalent to iszero(eq(div(xx, x), x)) here.\n                    if shr(128, x) {\n                        revert(0, 0)\n                    }\n\n                    // Store x squared.\n                    let xx := mul(x, x)\n\n                    // Round to the nearest number.\n                    let xxRound := add(xx, half)\n\n                    // Revert if xx + half overflowed.\n                    if lt(xxRound, xx) {\n                        revert(0, 0)\n                    }\n\n                    // Set x to scaled xxRound.\n                    x := div(xxRound, scalar)\n\n                    // If n is even:\n                    if mod(n, 2) {\n                        // Compute z * x.\n                        let zx := mul(z, x)\n\n                        // If z * x overflowed:\n                        if iszero(eq(div(zx, x), z)) {\n                            // Revert if x is non-zero.\n                            if iszero(iszero(x)) {\n                                revert(0, 0)\n                            }\n                        }\n\n                        // Round to the nearest number.\n                        let zxRound := add(zx, half)\n\n                        // Revert if zx + half overflowed.\n                        if lt(zxRound, zx) {\n                            revert(0, 0)\n                        }\n\n                        // Return properly scaled zxRound.\n                        z := div(zxRound, scalar)\n                    }\n                }\n            }\n        }\n    }"
}