I am trying to define an unordered_set like this:
unordered_set<Point> m_Points;When I compile it, I get the following error:
The C++ Standard doesn't provide a hash for this type.
Class Point:
class Point{ private: int x, y; public: Point(int a_x, int a_y) : x(a_x), y(a_y) {} ~Point(){} int getX()const { return x; } int getY()const { return y; } bool operator == (const Point& rhs) const{ return x == rhs.x && y == rhs.y; } bool operator != (const Point& rhs) const{ return !(*this == rhs); } };
- How/where do I define a hash function for Point?
- What would be a good hash function for a 2D point?
std::unordered_set requires you to write hash functions to store and find your own types.
Base types and many types in the std namespace do have such hash functions within std::hash<Key>. These functions follow certain rules:
Accepts a single parameter of type Key.
Returns a value of type size_t that represents the hash value of the parameter.
Does not throw exceptions when called.
For two parameters k1 and k2 that are equal, std::hash<Key>()(k1) == std::hash<Key>()(k2).
For two different parameters k1 and k2 that are not equal, the probability that std::hash<Key>()(k1) == std::hash<Key>()(k2) should be very small, approaching 1.0/std::numeric_limits<size_t>::max().
Now that we got the definitions out of the way, let's think about what would be a good hash function for your point structure. There was a request that std::pair (which is very similar to a point structure) got a hash function, but, unfortunately, that did not make it into the C++11 standard.
But we are lucky: SO is awesome and, of course, you can basically already find the answer. Note that you do not have to hash integers yourself, because std::hash has a specialization for that already. So let's dig into our hash function, according to this answer:
namespace std { template <> struct hash<Point> { size_t operator()(Point const & x) const noexcept { return ( (51 + std::hash<int>()(x.getX())) * 51 + std::hash<int>()(x.getY()) ); } }; }And we are done.
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