{
    "Function": "optimalExp",
    "File": "contracts/Bancor/BancorFormula.sol",
    "Parent Contracts": [],
    "High-Level Calls": [],
    "Internal Calls": [],
    "Library Calls": [],
    "Low-Level Calls": [],
    "Code": "function optimalExp(uint256 x) private pure returns (uint256) {\n        uint256 res = 0;\n\n        uint256 y;\n        uint256 z;\n\n        z = y = x % 0x10000000000000000000000000000000; // get the input modulo 2^(-3)\n        z = z * y / FIXED_1; res += z * 0x10e1b3be415a0000; // add y^02 * (20! / 02!)\n        z = z * y / FIXED_1; res += z * 0x05a0913f6b1e0000; // add y^03 * (20! / 03!)\n        z = z * y / FIXED_1; res += z * 0x0168244fdac78000; // add y^04 * (20! / 04!)\n        z = z * y / FIXED_1; res += z * 0x004807432bc18000; // add y^05 * (20! / 05!)\n        z = z * y / FIXED_1; res += z * 0x000c0135dca04000; // add y^06 * (20! / 06!)\n        z = z * y / FIXED_1; res += z * 0x0001b707b1cdc000; // add y^07 * (20! / 07!)\n        z = z * y / FIXED_1; res += z * 0x000036e0f639b800; // add y^08 * (20! / 08!)\n        z = z * y / FIXED_1; res += z * 0x00000618fee9f800; // add y^09 * (20! / 09!)\n        z = z * y / FIXED_1; res += z * 0x0000009c197dcc00; // add y^10 * (20! / 10!)\n        z = z * y / FIXED_1; res += z * 0x0000000e30dce400; // add y^11 * (20! / 11!)\n        z = z * y / FIXED_1; res += z * 0x000000012ebd1300; // add y^12 * (20! / 12!)\n        z = z * y / FIXED_1; res += z * 0x0000000017499f00; // add y^13 * (20! / 13!)\n        z = z * y / FIXED_1; res += z * 0x0000000001a9d480; // add y^14 * (20! / 14!)\n        z = z * y / FIXED_1; res += z * 0x00000000001c6380; // add y^15 * (20! / 15!)\n        z = z * y / FIXED_1; res += z * 0x000000000001c638; // add y^16 * (20! / 16!)\n        z = z * y / FIXED_1; res += z * 0x0000000000001ab8; // add y^17 * (20! / 17!)\n        z = z * y / FIXED_1; res += z * 0x000000000000017c; // add y^18 * (20! / 18!)\n        z = z * y / FIXED_1; res += z * 0x0000000000000014; // add y^19 * (20! / 19!)\n        z = z * y / FIXED_1; res += z * 0x0000000000000001; // add y^20 * (20! / 20!)\n        res = res / 0x21c3677c82b40000 + y + FIXED_1; // divide by 20! and then add y^1 / 1! + y^0 / 0!\n\n        if ((x & 0x010000000000000000000000000000000) != 0) res = res * 0x1c3d6a24ed82218787d624d3e5eba95f9 / 0x18ebef9eac820ae8682b9793ac6d1e776; // multiply by e^2^(-3)\n        if ((x & 0x020000000000000000000000000000000) != 0) res = res * 0x18ebef9eac820ae8682b9793ac6d1e778 / 0x1368b2fc6f9609fe7aceb46aa619baed4; // multiply by e^2^(-2)\n        if ((x & 0x040000000000000000000000000000000) != 0) res = res * 0x1368b2fc6f9609fe7aceb46aa619baed5 / 0x0bc5ab1b16779be3575bd8f0520a9f21f; // multiply by e^2^(-1)\n        if ((x & 0x080000000000000000000000000000000) != 0) res = res * 0x0bc5ab1b16779be3575bd8f0520a9f21e / 0x0454aaa8efe072e7f6ddbab84b40a55c9; // multiply by e^2^(+0)\n        if ((x & 0x100000000000000000000000000000000) != 0) res = res * 0x0454aaa8efe072e7f6ddbab84b40a55c5 / 0x00960aadc109e7a3bf4578099615711ea; // multiply by e^2^(+1)\n        if ((x & 0x200000000000000000000000000000000) != 0) res = res * 0x00960aadc109e7a3bf4578099615711d7 / 0x0002bf84208204f5977f9a8cf01fdce3d; // multiply by e^2^(+2)\n        if ((x & 0x400000000000000000000000000000000) != 0) res = res * 0x0002bf84208204f5977f9a8cf01fdc307 / 0x0000003c6ab775dd0b95b4cbee7e65d11; // multiply by e^2^(+3)\n\n        return res;\n    }"
}