問題描述

我正在嘗試創建一個 unordered_map 來映射整數對:

I am trying to create an unordered_map to map pairs with integers:

#include <unordered_map>

using namespace std;
using Vote = pair<string, string>;
using Unordered_map = unordered_map<Vote, int>;

我有一個類，我將 Unordered_map 聲明為私有成員.

I have a class where I have declared an Unordered_map as a private member.

但是，當我嘗試編譯它時出現以下錯誤:

However, I am getting the following error when I try to compile it:

/Applications/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/include/c++/v1/type_traits:948:38: 未定義模板的隱式實例化 'std::__1::hash, std::__1::basic_string > >'

/Applications/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/include/c++/v1/type_traits:948:38: Implicit instantiation of undefined template 'std::__1::hash, std::__1::basic_string > >'

如果我使用像 map<pair<string, string>, int> 這樣的常規映射而不是 unordered_map，我不會收到這個錯誤.

I am not getting this error if I use a regular map like map<pair<string, string>, int> instead of an unordered_map.

在無序映射中不能使用 pair 作為鍵嗎?

Is it not possible to use pair as key in unordered maps?

推薦答案

您需要為您的密鑰類型提供合適的散列函數.一個簡單的例子:

You need to provide a suitable hash function for your key type. A simple example:

#include <unordered_map>
#include <functional>
#include <string>
#include <utility>

// Only for pairs of std::hash-able types for simplicity.
// You can of course template this struct to allow other hash functions
struct pair_hash {
    template <class T1, class T2>
    std::size_t operator () (const std::pair<T1,T2> &p) const {
        auto h1 = std::hash<T1>{}(p.first);
        auto h2 = std::hash<T2>{}(p.second);

        // Mainly for demonstration purposes, i.e. works but is overly simple
        // In the real world, use sth. like boost.hash_combine
        return h1 ^ h2;  
    }
};

using Vote = std::pair<std::string, std::string>;
using Unordered_map = std::unordered_map<Vote, int, pair_hash>;

int main() {
    Unordered_map um;
}

這可以工作，但沒有最好的哈希屬性^?.你可能想看看像 boost.hash_combine 在組合散列時獲得更高質量的結果.這也在這個答案中進行了更詳細的討論——包括上述boost的解決方案.

This will work, but not have the best hash-properties^?. You might want to have a look at something like boost.hash_combine for higher quality results when combining the hashes. This is also discussed in greater detail – including the aforementioned solution from boost – in this answer.

對于現實世界的使用:Boost 還提供了函數集 hash_value 已經為 std::pair 以及 std::tuple 和大多數標準容器提供了一個哈希函數.

For real world use: Boost also provides the function set hash_value which already provides a hash function for std::pair, as well as std::tuple and most standard containers.

^?更準確地說，它會產生過多的碰撞.例如，每個對稱對都將散列到 0，并且僅在排列上不同的對將具有相同的散列.這對于您的編程練習來說可能沒問題，但可能會嚴重損害現實世界代碼的性能.

^?More precisely, it will produce too many collisions. E.g., every symmetric pair will hash to 0 and pairs that differ only by permutation will have the same hash. This is probably fine for your programming exercise, but might seriously hurt performance of real world code.

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