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## Semi-Intrusive unordered associative containers: unordered_set, unordered_multiset

Boost.Intrusive also offers hashed containers that can be very useful to implement fast-lookup containers. These containers (`unordered_set` and `unordered_multiset`) are semi-intrusive containers: they need additional memory apart from the hook stored in the `value_type`. This additional memory must be passed in the constructor of the container.

Unlike C++ TR1 unordered associative containers (which are also hashed containers), the contents of these semi-intrusive containers are not rehashed to maintain a load factor: that would require memory management and intrusive containers don't implement any memory management at all. However, the user can request an explicit rehashing passing a new bucket array. This also offers an additional guarantee over TR1 unordered associative containers: iterators are not invalidated when inserting an element in the container.

As with TR1 unordered associative containers, rehashing invalidates iterators, changes ordering between elements and changes which buckets elements appear in, but does not invalidate pointers or references to elements.

Apart from expected hash and equality function objects, Boost.Intrusive unordered associative containers' constructors take an argument specifying an auxiliary bucket vector to be used by the container.

### unordered_set and unordered_multiset performance notes

The size overhead for a hashed container is moderate: 1 pointer per value plus a bucket array per container. The size of an element of the bucket array is usually one pointer. To obtain a good performance hashed container, the bucket length is usually the same as the number of elements that the container contains, so a well-balanced hashed container (`bucket_count()` is equal to `size()` ) will have an equivalent overhead of two pointers per element.

An empty, non constant-time size `unordered_set` or `unordered_multiset` has also the size of `bucket_count()` pointers.

Insertions, erasures, and searches, have amortized constant-time complexity in hashed containers. However, some worst-case guarantees are linear. See `unordered_set` or `unordered_multiset` for complexity guarantees of each operation.

Be careful with non constant-time size hashed containers: some operations, like `empty()`, have linear complexity, unlike other Boost.Intrusive containers.

### unordered_set and unordered_multiset hooks

`unordered_set` and `unordered_multiset` share the same hooks. This is an advantage, because the same user type can be inserted first in a `unordered_multiset` and after that in `unordered_set` without changing the definition of the user class.

    template <class ...Options>
    class unordered_set_base_hook;

- `unordered_set_base_hook`: the user class derives publicly from `unordered_set_base_hook` to make it `unordered_set`/`unordered_multiset`-compatible.

    template <class ...Options>
    class unordered_set_member_hook;

- `unordered_set_member_hook`: the user class contains a public `unordered_set_member_hook` to make it `unordered_set`/`unordered_multiset`-compatible.

`unordered_set_base_hook` and `unordered_set_member_hook` receive the same options explained in the section How to use Boost.Intrusive:

- `tag<class Tag>` (for base hooks only): This argument serves as a tag, so you can derive from more than one base hook. Default: `tag<default_tag>`.
- `link_mode<link_mode_type LinkMode>`: The linking policy. Default: `link_mode<safe_link>`.
- `void_pointer<class VoidPointer>`: The pointer type to be used internally in the hook and propagated to the container. Default: `void_pointer<void*>`.

Apart from them, these hooks offer additional options:

- `store_hash<bool Enabled>`: This option reserves additional space in the hook to store the hash value of the object once it's introduced in the container. When this option is used, the unordered container will store the calculated hash value in the hook and rehashing operations won't need to recalculate the hash of the value. This option will improve the performance of unordered containers when rehashing is frequent or hashing the value is a slow operation. Default: `store_hash<false>`.
- `optimize_multikey<bool Enabled>`: This option reserves additional space in the hook that will be used to group equal elements in unordered multisets, improving significantly the performance when many equal values are inserted in these containers. Default: `optimize_multikey<false>`.

### unordered_set and unordered_multiset containers

    template<class T, class ...Options>
    class unordered_set;

    template<class T, class ...Options>
    class unordered_multiset;

As mentioned, unordered containers need an auxiliary array to work. Boost.Intrusive unordered containers receive this auxiliary array packed in a type called `bucket_traits` (which can be also customized by a container option). All unordered containers receive a `bucket_traits` object in their constructors. The default `bucket_traits` class is initialized with a pointer to an array of buckets and its size:

    #include <boost/intrusive/unordered_set.hpp>

    using namespace boost::intrusive;

    struct MyClass : public unordered_set_base_hook<>
    {};

    typedef unordered_set<MyClass>::bucket_type     bucket_type;
    typedef unordered_set<MyClass>::bucket_traits   bucket_traits;

    int main()
    {
       bucket_type buckets[100];
       unordered_set<MyClass> uset(bucket_traits(buckets, 100));
       return 0;
    }

Each hashed container needs its own bucket traits, that is, its own bucket vector. Two hashed containers can't share the same `bucket_type` elements. The bucket array must be destroyed after the container using it is destroyed, otherwise, the result is undefined.

`unordered_set` and `unordered_multiset` receive the same options explained in the section How to use Boost.Intrusive:

- `base_hook<class Hook>` / `member_hook<class T, class Hook, Hook T::* PtrToMember>` / `value_traits<class ValueTraits>`: To specify the hook type or value traits used to configure the container. (To learn about value traits go to the section Containers with custom ValueTraits.)
- `constant_time_size<bool Enabled>`: To activate the constant-time `size()` operation. Default: `constant_time_size<true>`
- `size_type<bool Enabled>`: To specify the type that will be used to store the size of the container. Default: `size_type<std::size_t>`

And they also can receive additional options:

- `equal<class Equal>`: Equality function for the objects to be inserted in containers. Default: `equal< std::equal_to<T> >`
- `hash<class Hash>`: Hash function to be used in the container. Default: `hash< boost::hash<T> >`
- `bucket_traits<class BucketTraits>`: A type that wraps the bucket vector to be used by the unordered container. Default: a type initialized by the address and size of a bucket array and stores both variables internally.
- `power_2_buckets<bool Enabled>`: The user guarantees that only bucket arrays with power of two length will be used. The container will then use masks instead of modulo operations to obtain the bucket number from the hash value. Masks are faster than modulo operations and for some applications modulo operations can impose a considerable overhead. In debug mode an assertion will be raised if the user provides a bucket length that is not power of two. Default: `power_2_buckets<false>`.
- `cache_begin<bool Enabled>`: Note: this option is not compatible with `auto_unlink` hooks. Due to its internal structure, finding the first element of an unordered container (`begin()` operation) is amortized constant-time. It's possible to speed up `begin()` and other operations related to it (like `clear()`) if the container caches internally the position of the first element. This imposes the overhead of one pointer to the size of the container. Default: `cache_begin<false>`.
- `compare_hash<bool Enabled>`: Note: this option requires `store_hash<true>` option in the hook. When the comparison function is expensive, (e.g. strings with a long common predicate) sometimes (specially when the load factor is high or we have many equivalent elements in an `unordered_multiset` and no `optimize_multikey<>` is activated in the hook) the equality function is a performance problem. Two equal values must have equal hashes, so comparing the hash values of two elements before using the comparison functor can speed up some implementations.
- `incremental<bool Enabled>`: Activates incremental hashing (also known as Linear Hashing). This option implies `power_2_buckets<true>` and the container will require power of two buckets. For more information on incremental hashing, see `Linear hash` on Wikipedia Default: `incremental<false>`

### Example

Now let's see a small example using both hooks and both containers:

    #include <boost/intrusive/unordered_set.hpp>
    #include <vector>
    #include <algorithm>
    #include <boost/functional/hash.hpp>

    using namespace boost::intrusive;

    class MyClass : public unordered_set_base_hook<>
    {               //This is a derivation hook
       int int_;

       public:
       unordered_set_member_hook<> member_hook_; //This is a member hook

       MyClass(int i)
          :  int_(i)
       {}

       friend bool operator== (const MyClass &a, const MyClass &b)
       {  return a.int_ == b.int_;  }

       friend std::size_t hash_value(const MyClass &value)
       {  return std::size_t(value.int_); }
    };

    //Define an unordered_set that will store MyClass objects using the base hook
    typedef unordered_set<MyClass>    BaseSet;

    //Define an unordered_multiset that will store MyClass using the member hook
    typedef member_hook<MyClass, unordered_set_member_hook<>, &MyClass::member_hook_>
       MemberOption;
    typedef unordered_multiset< MyClass, MemberOption>  MemberMultiSet;

    int main()
    {
       typedef std::vector<MyClass>::iterator VectIt;
       typedef std::vector<MyClass>::reverse_iterator VectRit;

       //Create a vector with 100 different MyClass objects
       std::vector<MyClass> values;
       for(int i = 0; i < 100; ++i)  values.push_back(MyClass(i));

       //Create a copy of the vector
       std::vector<MyClass> values2(values);

       //Create a bucket array for base_set
       BaseSet::bucket_type base_buckets[100];

       //Create a bucket array for member_multi_set
       MemberMultiSet::bucket_type member_buckets[200];

       //Create unordered containers taking buckets as arguments
       BaseSet base_set(BaseSet::bucket_traits(base_buckets, 100));
       MemberMultiSet member_multi_set
          (MemberMultiSet::bucket_traits(member_buckets, 200));

       //Now insert values's elements in the unordered_set
       for(VectIt it(values.begin()), itend(values.end()); it != itend; ++it)
          base_set.insert(*it);

       //Now insert values's and values2's elements in the unordered_multiset
       for(VectIt it(values.begin()), itend(values.end()),
                 it2(values2.begin()),itend2(values2.end())
          ; it != itend; ++it, ++it2){
          member_multi_set.insert(*it);
          member_multi_set.insert(*it2);
       }

       //Now find every element
       {
          VectIt it(values.begin()), itend(values.end());

          for(; it != itend; ++it){
             //base_set should contain one element for each key
             if(base_set.count(*it) != 1)           return 1;
             //member_multi_set should contain two elements for each key
             if(member_multi_set.count(*it) != 2)   return 1;
          }
       }
       return 0;
    }

### Custom bucket traits

Instead of using the default `bucket_traits` class to store the bucket array, a user can define his own class to store the bucket array using the bucket_traits<> option. A user-defined bucket-traits must fulfill the following interface:

    class my_bucket_traits
    {
       bucket_ptr        bucket_begin();
       const_bucket_ptr  bucket_begin() const;
       std::size_t bucket_count() const;
    };

The following bucket traits just stores a pointer to the bucket array but the size is a compile-time constant. Note the use of the auxiliary `unordered_bucket` and `unordered_bucket_ptr` utilities to obtain the type of the bucket and its pointer before defining the unordered container:

    #include <boost/intrusive/unordered_set.hpp>
    #include <boost/functional/hash.hpp>
    #include <vector>

    using namespace boost::intrusive;

    //A class to be inserted in an unordered_set
    class MyClass : public unordered_set_base_hook<>
    {
       int int_;

       public:
       MyClass(int i = 0) : int_(i)
       {}

       friend bool operator==(const MyClass &l, const MyClass &r)
          {  return l.int_ == r.int_;   }
       friend std::size_t hash_value(const MyClass &v)
          {  return boost::hash_value(v.int_); }
    };

    //Define the base hook option
    typedef base_hook< unordered_set_base_hook<> >     BaseHookOption;

    //Obtain the types of the bucket and the bucket pointer
    typedef unordered_bucket<BaseHookOption>::type     BucketType;
    typedef unordered_bucket_ptr<BaseHookOption>::type BucketPtr;

    //The custom bucket traits.
    class custom_bucket_traits
    {
       public:
       static const int NumBuckets = 100;

       custom_bucket_traits(BucketPtr buckets)
          :  buckets_(buckets)
       {}

       //Functions to be implemented by custom bucket traits
       BucketPtr   bucket_begin() const {  return buckets_;  }
       std::size_t bucket_count() const {  return NumBuckets;}

       private:
       BucketPtr buckets_;
    };

    //Define the container using the custom bucket traits
    typedef unordered_set<MyClass, bucket_traits<custom_bucket_traits> > BucketTraitsUset;

    int main()
    {
       typedef std::vector<MyClass>::iterator VectIt;
       std::vector<MyClass> values;

       //Fill values
       for(int i = 0; i < 100; ++i)  values.push_back(MyClass(i));

       //Now create the bucket array and the custom bucket traits object
       BucketType buckets[custom_bucket_traits::NumBuckets];
       custom_bucket_traits btraits(buckets);

       //Now create the unordered set
       BucketTraitsUset uset(btraits);

       //Insert the values in the unordered set
       for(VectIt it(values.begin()), itend(values.end()); it != itend; ++it)
          uset.insert(*it);

       return 0;
    }