Internal Function in Solidity

pragma solidity >=0.4.16 <0.7.0;


library ArrayUtils {

    function map(uint[] memory self, function (uint) pure returns (uint) f)
        internal
        pure
        returns (uint[] memory r)
    {
        r = new uint[](self.length);
        for (uint i = 0; i < self.length; i++) {
            r[i] = f(self[i]);
        }
    }

    function reduce(
        uint[] memory self,
        function (uint, uint) pure returns (uint) f
    )
        internal
        pure
        returns (uint r)
    {
        r = self[0];
        for (uint i = 1; i < self.length; i++) {
            r = f(r, self[i]);
        }
    }

    function range(uint length) internal pure returns (uint[] memory r) {
        r = new uint[](length);
        for (uint i = 0; i < r.length; i++) {
            r[i] = i;
        }
    }
}


contract Pyramid {
    using ArrayUtils for *;

    function pyramid(uint l) public pure returns (uint) {
        return ArrayUtils.range(l).map(square).reduce(sum);
    }

    function square(uint x) internal pure returns (uint) {
        return x * x;
    }

    function sum(uint x, uint y) internal pure returns (uint) {
        return x + y;
    }
}