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sparse_vector-Vorlagenklasse: Wie bereinige ich sie?

Ich bin mir nicht sicher, ob dies eine gute Frage ist oder nicht - wenn nicht, schließen Sie sie bitte.

Ich habe mir vorgenommen, (unter Verwendung von boost::coordinate_vector als Ausgangspunkt) eine sparse_vector Vorlageklasse, die eine vektorähnliche Schnittstelle effizient implementiert, aber spärlich ist. I rotate . Ich benötige diese Klasse, weil ich einen einmaligen Schreib-Lese-Vielfachen Anwendungsfall habe, und ich verwende viele von diesen sparse_vectors .

Ich habe keine Erfahrung mit dem Schreiben von Vorlagenklassen, daher weiß ich, dass es Dinge gibt, die ich besser machen könnte. Wie kann ich diese Klasse verbessern?

// sparse_vector is a sparse version of std::vector.  It stores index-value pairs, and a size, which
// represents the size of the sparse_vector.

#include <algorithm>
#include <ostream>
#include <iostream>
#include <vector>
#include <boost/iterator.hpp>
#include <boost/iterator/iterator_adaptor.hpp>
#include <boost/iterator/iterator_facade.hpp>
#include <boost/iterator/reverse_iterator.hpp>
#include <boost/optional.hpp>
#include <glog/logging.h>

template<typename T>
class sparse_vector {
public:
    typedef T value_type;
    typedef T* pointer;
    typedef T& reference;
    typedef const T& const_reference;
    typedef size_t size_type;
private:
    struct ElementType {
        ElementType(size_type i, T const& t): index(i), value(t) {}
        ElementType(size_type i, T&& t): index(i), value(move(t)) {}
        ElementType(size_type i): index(i) {}  // allows lower_bound to work
        ElementType(ElementType const&) = default;
        size_type index;
        value_type value;
    };
    typedef std::vector<ElementType> array_type;
public:
    typedef typename array_type::difference_type difference_type;

private:
    typedef const T* const_pointer;
    typedef sparse_vector<T> self_type;
    typedef typename array_type::const_iterator const_subiterator_type;
    typedef typename array_type::iterator subiterator_type;

    struct IndexCompare {
        bool operator()(ElementType const& a, ElementType const& b) { return a.index < b.index; }
    };

public:
    // Construction and destruction
    inline sparse_vector(): size_(0), sorted_filled_(0), data_() {
            storage_invariants(); }
    explicit inline sparse_vector(size_type size): size_(size), sorted_filled_(0), data_() {
            storage_invariants(); }
    inline sparse_vector(const sparse_vector<T> &v):
        size_(v.size_), sorted_filled_(v.sorted_filled_), data_(v.data_) {
            storage_invariants(); }
    inline sparse_vector(sparse_vector<T>&& v):
        size_(v.size_), sorted_filled_(v.sorted_filled_), data_(move(v.data_)) {
            storage_invariants(); }
    sparse_vector(const optional<T> &o): size_(1), sorted_filled_(0) {
            if (o) {
                append_element(0, *o);
                sorted_filled_ = 1;
            }
            storage_invariants();
        }
    sparse_vector(const std::vector<T> &v):
        size_(v.size()), sorted_filled_(0) {
            data_.reserve(v.size());
            for (auto it = v.begin(); it != v.end(); ++it)
                append_element(it - v.begin(), *it);
            sorted_filled_ = v.size();
            storage_invariants();
        }
    sparse_vector(const sparse_vector<optional<T>> &sv):
        size_(sv.size()), sorted_filled_(0) {
            for (auto it = sv.sparse_begin(); it != sv.sparse_end(); ++it)
                if (*it)
                    append_element(it.index(), **it);
            sorted_filled_ = data_.size();
            storage_invariants();
        }
    sparse_vector(size_type size, vector<pair<size_type, T>> init_list):
        size_(size), sorted_filled_(0) {
            for (auto it = init_list.begin(); it != init_list.end(); ++it)
                append_element(it->first, it->second);
            // require that the list be sorted?
            // sorted_filled_ = data_.size();
            storage_invariants();
        }
    /*template<class AE>
        inline sparse_vector(const sparse_vector<AE> &ae):
            size_(ae().size()), sorted_filled_(ae.nnz()), data_() {
                storage_invariants();
                for (auto it = ae.sparse_begin(); it != ae.sparse_end(); ++it) {
                    (*this)[it.index()] = static_cast<T>(*it);
                }
            }*/

    // Conversion operators
    // Copy sparse_vector to a vector filling in uninitialized elements with T()
    operator std::vector<T>() {
        std::vector<T> retval(size_);
        for (auto it = data_.begin(); it != data_.end(); ++it)
            retval[it.index()] = *it;
        return retval; 
    }
    // Copy sparse_vector to a vector filling in uninitialized elements with a default value.
    void CopyToVector(std::vector<T>* v, T const& default_value = T()) {
        size_type last_index = 0;
        for (auto it = sparse_begin(); it != sparse_end(); ++it) {
            for (size_type i = last_index; i < it.index(); ++i) {
                (*v)[i] = default_value;
            }
            (*v)[it.index()] = *it;
            last_index = it.index() + 1;
        }
    }

    // Accessors
    inline size_type size() const {
        return size_;
    }
    inline size_type nnz_capacity() const {
        return data_.capacity();
    }
    inline size_type nnz() const {
        return data_.size();
    }

    // Resizing
    inline void resize(size_type size, bool preserve = true) {
        if (preserve) {
            sort();    // remove duplicate elements.
            subiterator_type it(lower_bound(data_.begin(), data_.end(), size, IndexCompare()));
            data_.erase(it, data_.end());
        } else {
            data_.clear();
        }
        size_ = size;
        sorted_filled_ = nnz();
        storage_invariants();
    }

    // Reserving
    inline void reserve(size_type non_zeros, bool preserve = true) {
        if (preserve)
            sort();    // remove duplicate elements.
        else
            data_.clear();
        data_.reserve(non_zeros);
        sorted_filled_ = nnz();
        storage_invariants();
    }

    // Element support
    // find_element returns a pointer to element i or NULL -- it never creates an element
    inline pointer find_element(size_type i) {
        return const_cast<pointer> (const_cast<const self_type&>(*this).find_element(i)); }
    inline const_pointer find_element(size_type i) const {
        sort();
        const_subiterator_type it(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
        if (it == data_.end() || it->index != i)
            return NULL;
        return &it->value;
    }
    // find_element_optional returns a boost::optional<T>
    inline boost::optional<value_type> find_element_optional(size_type i) const {
        CHECK_LT(i, size_);
        sort();
        const_subiterator_type it(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
        if (it == data_.end() || it->index != i)
            return boost::optional<value_type>();
        return boost::optional<value_type>(it->value);
    }

    // Element access
    // operator[] returns a reference to element i -- the const version returns a reference to
    // a zero_ element if it doesn't exist; the non-const version creates it in that case.
    inline const_reference operator[] (size_type i) const {
        CHECK_LT(i, size_);
        sort();
        const_subiterator_type it(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
        if (it == data_.end() || it->index != i)
            return zero_;
        return it->value;
    }
    inline reference operator[] (size_type i) {
        CHECK_LT(i, size_);
        sort();
        subiterator_type it(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
        if (it == data_.end() || it->index != i)
            return insert_element(i, value_type/*zero*/());
        else
            return it->value;
    }

    // Element assignment
    inline void append_element(size_type i, const_reference t) {
        data_.emplace_back(i, t);
        storage_invariants();
    }
    inline void append_element(size_type i, T&& t) {
        data_.emplace_back(i, move(t));
        storage_invariants();
    }
    inline void sorted_append_element(size_type i, const_reference t) {
        // must maintain sort order
        CHECK(sorted());
        if (data_.size() > 0)
            CHECK_LT(data_.back().index, i);
        data_.emplace_back(i, t);
        sorted_filled_ = data_.size();
        storage_invariants();
    }
    /* This function is probably not useful.
     * inline void sparse_pop_back() {
        // ISSUE invariants could be simpilfied if sorted required as precondition
        CHECK_GT(data_.size(), 0);
        data_.pop_back();
        sorted_filled_ = (std::min)(sorted_filled_, data_.size());
        storage_invariants();
    }*/
    inline reference insert_element(size_type i, const_reference t) {
        DCHECK(find_element(i) == NULL);  // duplicate element
        append_element(i, t);
        return data_.back().value;
    }

    // Element clearing
    // TODO(neil): consider replacing size_type functions with iterator functions
    // replaces elements in the range [i, i] with "zero" (by erasing them from the map)
    inline void clear_element(size_type i) {
        sort();
        subiterator_type it(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
        if (it == data_.end() || it->index != i)
            return;
        data_.erase(it);
        --sorted_filled_;
        storage_invariants();
    }
    // replaces elements in the range [first, last) with "zero" (by erasing them from the map)
    inline void clear_elements(size_type first, size_type last) {
        CHECK_LE(first, last);
        sort();
        subiterator_type it_first(lower_bound(data_.begin(), data_.end(), first, IndexCompare()));
        subiterator_type it_last(lower_bound(data_.begin(), data_.end(), last, IndexCompare()));
        sorted_filled_ -= it_last - it_first;
        data_.erase(it_first, it_last);
        storage_invariants();
    }

    // Zeroing
    inline void clear() { data_.clear(); sorted_filled_ = 0; storage_invariants(); }

    // Comparison
    inline bool operator==(const sparse_vector &v) const {
        if (this == &v)
            return true;
        if (size_ != v.size_)
            return false;
        auto it_this = sparse_begin();
        for (auto it = v.sparse_begin(); it != v.sparse_end(); ++it) {
            if (it_this == sparse_end()
                || it_this.index() != it.index()
                || *it_this != *it)
                return false;
            ++it_this;
        }
        return true;
    }

    // Assignment
    inline sparse_vector& operator=(const sparse_vector &v) {
        if (this != &v) {
            size_ = v.size_;
            sorted_filled_ = v.sorted_filled_;
            data_ = v.data_;
        }
        storage_invariants();
        return *this;
    }
    inline sparse_vector &assign_temporary(sparse_vector &v) {
        swap(v);
        return *this;
    }
    template<class AE>
        inline sparse_vector& operator=(const sparse_vector<AE> &ae) {
            self_type temporary(ae);
            return assign_temporary(temporary);
        }

    // Swapping
    inline void swap(sparse_vector &v) {
        if (this != &v) {
            std::swap(size_, v.size_);
            std::swap(sorted_filled_, v.sorted_filled_);
            data_.swap(v.data_);
        }
        storage_invariants();
    }
    inline friend void swap(sparse_vector &v1, sparse_vector &v2) { v1.swap(v2); }

    // Sorting and summation of duplicates
    inline bool sorted() const { return sorted_filled_ == data_.size(); }
    inline void sort() const {
        if (!sorted() && data_.size() > 0) {
            // sort new elements and merge
            std::sort(data_.begin() + sorted_filled_, data_.end(), IndexCompare());
            std::inplace_merge(data_.begin(), data_.begin() + sorted_filled_, data_.end(),
                               IndexCompare());

            // check for duplicates
            size_type filled = 0;
            for(size_type i = 1; i < data_.size(); ++i) {
                if (data_[filled].index != data_[i].index) {
                    ++filled;
                    if (filled != i) {
                        data_[filled] = data_[i];
                    }
                } else {
                    CHECK(false);  // duplicates
                    // value_data_[filled] += value_data_[i];
                }
            }
            ++filled;
            sorted_filled_ = filled;
            data_.erase(data_.begin() + filled, data_.end());
            storage_invariants();
        }
    }

    // Back element insertion and erasure
    inline void push_back(const_reference t) {
        CHECK(sorted());
        data_.emplace_back(size(), t);
        if (sorted_filled_ == data_.size())
            ++sorted_filled_;
        ++size_;
        storage_invariants();
    }
    inline void pop_back() {
        CHECK_GT(size_, 0);
        clear_element(size_ - 1);
        if (sorted_filled_ == size_)
            --sorted_filled_;
        --size_;
        storage_invariants();
    }

    // Iterator types
private:
    template<typename base_type, typename iterator_value_type>
        class sparse_iterator_private
            : public boost::iterator_adaptor<
              sparse_iterator_private<base_type, iterator_value_type>,  // Derived
              base_type,                                                // Base
              iterator_value_type,                                      // Value
              boost::random_access_traversal_tag                        // CategoryOrTraversal
              > {
        private:
            struct enabler {};  // a private type avoids misuse

        public:
            sparse_iterator_private()
                : sparse_iterator_private<base_type, iterator_value_type>::iterator_adaptor_() {}

            explicit sparse_iterator_private(base_type&& p)
                : sparse_iterator_private<base_type, iterator_value_type>::iterator_adaptor_(p) {}

            size_type index() const { return this->base()->index; }
            iterator_value_type& value() const { return this->base()->value; }

        private:
            friend class boost::iterator_core_access;

            iterator_value_type& dereference() const { return this->base()->value; }
        };

    template<typename container_type, typename iterator_value_type>
        class iterator_private
        : public boost::iterator_facade<
          iterator_private<container_type, iterator_value_type>,    // Derived
          iterator_value_type,                                      // Value
          boost::random_access_traversal_tag,                       // CategoryOrTraversal
          iterator_value_type&,                                     // Reference
          difference_type                                           // Difference
          > {
          private:
              struct enabler {};  // a private type avoids misuse

          public:
              iterator_private(): container_(NULL), index_(0) {}

              iterator_private(container_type* container, size_type index)
                  : container_(container), index_(index) {}

              iterator_private(iterator_private const& other)
                  : container_(other.container_), index_(other.index_) {}

              iterator_private& operator=(iterator_private const& other) {
                  container_ = other.container_;
                  index_ = other.index_;
              }

              container_type& container() const { return *container_; }
              size_type index() const { return index_; }
              iterator_value_type& value() const { return dereference(); }
              /* TODO(neil): how do you make this work?
                 template<typename U>
                 sparse_iterator_private<U> subsequent_sparse_iterator() {
                 return sparse_iterator_private<T>(lower_bound(container_.data_.begin(),
                 container_.data_.end(),
                 index_, IndexCompare()));
                 }
                 */

          private:
              friend class boost::iterator_core_access;
              iterator_value_type& dereference() const { return (*container_)[index_]; }
              bool equal(iterator_private<container_type, iterator_value_type> const& other) const {
                  return index_ == other.index_ && container_ == other.container_; }
              void increment() { ++index_; }
              void decrement() { --index_; }
              void advance(int n) { index_ += n; }
              difference_type distance_to(iterator_private<container_type,
                                          iterator_value_type> const& other) {
                  return index_ - other.index_; }

              container_type*       container_;
              size_type             index_;
          };

public:
    typedef sparse_iterator_private<typename array_type::iterator, value_type> sparse_iterator;
    typedef sparse_iterator_private<
        typename array_type::const_iterator, const value_type> const_sparse_iterator;
    typedef iterator_private<sparse_vector, value_type> iterator;
    typedef iterator_private<const sparse_vector, const value_type> const_iterator;
    typedef boost::reverse_iterator<sparse_iterator> reverse_sparse_iterator;
    typedef boost::reverse_iterator<const_sparse_iterator> const_reverse_sparse_iterator;
    typedef boost::reverse_iterator<iterator> reverse_iterator;
    typedef boost::reverse_iterator<const_iterator> const_reverse_iterator;

    // Element lookup
    // inline This function seems to be big. So we do not let the compiler inline it.    
    sparse_iterator sparse_find(size_type i) {
        sort();
        return sparse_iterator(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
    }
    // inline This function seems to be big. So we do not let the compiler inline it.    
    const_sparse_iterator sparse_find(size_type i) const {
        sort();
        return const_sparse_iterator(lower_bound(data_.begin(), data_.end(), i, IndexCompare()));
    }
    // the nth non-zero element
    const_sparse_iterator nth_nonzero(size_type i) const {
        CHECK_LE(data_.size(), i);
        sort();
        return const_sparse_iterator(data_.begin() + i);
    }

    // Forward iterators
    inline sparse_iterator sparse_begin() { return sparse_find(0); }
    inline sparse_iterator sparse_end() { return sparse_find(size_); }
    inline const_sparse_iterator sparse_begin() const { return sparse_find(0); }
    inline const_sparse_iterator sparse_end() const { return sparse_find(size_); }
    inline iterator begin() { return iterator(this, 0); }
    inline iterator end() { return iterator(this, size()); }
    inline const_iterator begin() const { return const_iterator(this, 0); }
    inline const_iterator end() const { return const_iterator(this, size()); }

    // Reverse iterators
    inline reverse_sparse_iterator sparse_rbegin() {
        return reverse_sparse_iterator(sparse_end()); }
    inline reverse_sparse_iterator sparse_rend() {
        return reverse_sparse_iterator(sparse_begin()); }
    inline const_reverse_sparse_iterator sparse_rbegin() const {
        return const_reverse_sparse_iterator(sparse_end()); }
    inline const_reverse_sparse_iterator sparse_rend() const {
        return const_reverse_sparse_iterator(sparse_begin()); }
    inline reverse_iterator rbegin() {
        return reverse_iterator(end()); }
    inline reverse_iterator rend() {
        return reverse_iterator(begin()); }
    inline const_reverse_iterator rbegin() const {
        return const_reverse_iterator(end()); }
    inline const_reverse_iterator rend() const {
        return const_reverse_iterator(begin()); }

    // Mutating algorithms
    // like vector::erase (erases the elements from the container and shrinks the container)
    inline void erase(iterator const& first, iterator const& last) {
        clear_elements(first.index(), last.index());
        CHECK(sorted());
        subiterator_type it_first(lower_bound(data_.begin(), data_.end(),
                                              first.index(), IndexCompare()));
        size_t n = last.index() - first.index();
        for (auto it = it_first; it != data_.end(); ++it)
            it->index -= n;
        size_ -= n;
    }

    // like vector::insert (insert elements into the container and causes the container to grow)
    inline void insert(iterator const& index, size_type n) {
        sort();
        subiterator_type it_first(lower_bound(data_.begin(), data_.end(),
                                              index.index(), IndexCompare()));
        for (auto it = it_first; it != data_.end(); ++it)
            it->index += n;
        size_ += n;
    }

    // Removes all "zero" elements
    void remove_zeros() {
        size_type filled = 0;
        for(size_type i = 0; i < data_.size(); ++i) {
            if (i == sorted_filled_) {
                // Once we've processed sorted_filled_ items, we know that whatever we've filled so
                // far is sorted.
                CHECK_LE(filled, sorted_filled_);
                // Since sorted_filled_ only shrinks here, and i only grows, we won't enter this
                // condition twice.
                sorted_filled_ = filled;
            }
            if (data_[i].value != value_type/*zero*/()) {
                if (filled != i) {
                    data_[filled] = data_[i];
                }
                ++filled;
            }
        }
        data_.erase(data_.begin() + filled, data_.end());
        storage_invariants();
    }

    void rotate(size_type first, size_type middle, size_type last) {
        CHECK_LT(first, middle);
        CHECK_LT(middle, last);
        sort();
        subiterator_type it_first(lower_bound(data_.begin(), data_.end(),
                                              first, IndexCompare()));
        subiterator_type it_middle(lower_bound(data_.begin(), data_.end(),
                                               middle, IndexCompare()));
        subiterator_type it_last(lower_bound(data_.begin(), data_.end(),
                                             last, IndexCompare()));

        for (auto it = it_first; it != it_middle; ++it)
            it->index += last - middle;
        for (auto it = it_middle; it != it_last; ++it)
            it->index -= middle - first;
        std::rotate(it_first, it_middle, it_last);
        // array remains sorted
    }

    sparse_vector<value_type> concatenate(sparse_vector<value_type> const& other) const {
        sparse_vector<value_type> retval(size() + other.size());
        for (auto it = sparse_begin(); it != sparse_end(); ++it) {
            retval[it.index()] = *it;
        }
        for (auto it = other.sparse_begin(); it != other.sparse_end(); ++it) {
            retval[it.index() + size()] = *it;
        }
        return retval;
    }

private:
    void storage_invariants() const {
        CHECK_LE(sorted_filled_, data_.size());
        if (sorted())
            CHECK_EQ(sorted_filled_, data_.size());
        else
            CHECK_LT(sorted_filled_, data_.size());
        if (!data_.empty())
            CHECK_LT(data_.back().index, size_);
        for (size_type i = 1; i < sorted_filled_; ++i)
            CHECK_GT(data_[i].index, data_[i - 1].index);
    }

    size_type                                   size_;
    mutable typename array_type::size_type      sorted_filled_; 
    mutable array_type                          data_;

    static const value_type                     zero_;
};

template<typename T>
const typename sparse_vector<T>::value_type sparse_vector<T>::zero_ = T();

template<typename T>
ostream& operator<<(ostream& os, const sparse_vector<T>& v) {
    os << "[" << v.size() << ": ";
    for (auto it = v.sparse_begin(); it != v.sparse_end(); ++it) {
        os << "(" << it.index() << ": " << it.value() << ") ";
    }
    return os << "]";
}

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