// Copyright (c) 2005, Google Inc.
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
//     * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//     * Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following disclaimer
// in the documentation and/or other materials provided with the
// distribution.
//     * Neither the name of Google Inc. nor the names of its
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

// ---
// Author: Craig Silverstein
//
// A sparse hashtable is a particular implementation of
// a hashtable: one that is meant to minimize memory use.
// It does this by using a *sparse table* (cf sparsetable.h),
// which uses between 1 and 2 bits to store empty buckets
// (we may need another bit for hashtables that support deletion).
//
// When empty buckets are so cheap, an appealing hashtable
// implementation is internal probing, in which the hashtable
// is a single table, and collisions are resolved by trying
// to insert again in another bucket.  The most cache-efficient
// internal probing schemes are linear probing (which suffers,
// alas, from clumping) and quadratic probing, which is what
// we implement by default.
//
// Deleted buckets are a bit of a pain.  We have to somehow mark
// deleted buckets (the probing must distinguish them from empty
// buckets).  The most principled way is to have another bitmap,
// but that's annoying and takes up space.  Instead we let the
// user specify an "impossible" key.  We set deleted buckets
// to have the impossible key.
//
// Note it is possible to change the value of the delete key
// on the fly; you can even remove it, though after that point
// the hashtable is insert_only until you set it again.
//
// You probably shouldn't use this code directly.  Use
// <google/sparse_hash_table> or <google/sparse_hash_set> instead.
//
// You can modify the following, below:
// HT_OCCUPANCY_PCT            -- how full before we double size
// HT_EMPTY_PCT                -- how empty before we halve size
// HT_MIN_BUCKETS              -- smallest bucket size
// HT_DEFAULT_STARTING_BUCKETS -- default bucket size at construct-time
//
// You can also change enlarge_factor (which defaults to
// HT_OCCUPANCY_PCT), and shrink_factor (which defaults to
// HT_EMPTY_PCT) with set_resizing_parameters().
//
// How to decide what values to use?
// shrink_factor's default of .4 * OCCUPANCY_PCT, is probably good.
// HT_MIN_BUCKETS is probably unnecessary since you can specify
// (indirectly) the starting number of buckets at construct-time.
// For enlarge_factor, you can use this chart to try to trade-off
// expected lookup time to the space taken up.  By default, this
// code uses quadratic probing, though you can change it to linear
// via _JUMP below if you really want to.
//
// From http://www.augustana.ca/~mohrj/courses/1999.fall/csc210/lecture_notes/hashing.html
// NUMBER OF PROBES / LOOKUP       Successful            Unsuccessful
// Quadratic collision resolution   1 - ln(1-L) - L/2    1/(1-L) - L - ln(1-L)
// Linear collision resolution     [1+1/(1-L)]/2         [1+1/(1-L)2]/2
//
// -- enlarge_factor --           0.10  0.50  0.60  0.75  0.80  0.90  0.99
// QUADRATIC COLLISION RES.
//    probes/successful lookup    1.05  1.44  1.62  2.01  2.21  2.85  5.11
//    probes/unsuccessful lookup  1.11  2.19  2.82  4.64  5.81  11.4  103.6
// LINEAR COLLISION RES.
//    probes/successful lookup    1.06  1.5   1.75  2.5   3.0   5.5   50.5
//    probes/unsuccessful lookup  1.12  2.5   3.6   8.5   13.0  50.0  5000.0
//
// The value type is required to be copy constructible and default
// constructible, but it need not be (and commonly isn't) assignable.

#ifndef _SPARSEHASHTABLE_H_
#define _SPARSEHASHTABLE_H_

#ifndef SPARSEHASH_STAT_UPDATE
#define SPARSEHASH_STAT_UPDATE(x) ((void) 0)
#endif

// The probing method
// Linear probing
// #define JUMP_(key, num_probes)    ( 1 )
// Quadratic probing
#define JUMP_(key, num_probes)    ( num_probes )

#include <google/sparsehash/sparseconfig.h>
#include <assert.h>
#include <algorithm>              // For swap(), eg
#include <stdexcept>              // For length_error
#include <iterator>               // for facts about iterator tags
#include <limits>                 // for numeric_limits<>
#include <utility>                // for pair<>
#include <google/sparsehash/hashtable-common.h>
#include <google/sparsetable>     // Since that's basically what we are

_START_GOOGLE_NAMESPACE_

using STL_NAMESPACE::pair;

// The smaller this is, the faster lookup is (because the group bitmap is
// smaller) and the faster insert is, because there's less to move.
// On the other hand, there are more groups.  Since group::size_type is
// a short, this number should be of the form 32*x + 16 to avoid waste.
static const u_int16_t DEFAULT_GROUP_SIZE = 48;   // fits in 1.5 words

// Hashtable class, used to implement the hashed associative containers
// hash_set and hash_map.
//
// Value: what is stored in the table (each bucket is a Value).
// Key: something in a 1-to-1 correspondence to a Value, that can be used
//      to search for a Value in the table (find() takes a Key).
// HashFcn: Takes a Key and returns an integer, the more unique the better.
// ExtractKey: given a Value, returns the unique Key associated with it.
// SetKey: given a Value* and a Key, modifies the value such that
//         ExtractKey(value) == key.  We guarantee this is only called
//         with key == deleted_key.
// EqualKey: Given two Keys, says whether they are the same (that is,
//           if they are both associated with the same Value).
// Alloc: STL allocator to use to allocate memory.

template <class Value, class Key, class HashFcn,
          class ExtractKey, class SetKey, class EqualKey, class Alloc>
class sparse_hashtable;

template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
struct sparse_hashtable_iterator;

template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
struct sparse_hashtable_const_iterator;

// As far as iterating, we're basically just a sparsetable
// that skips over deleted elements.
template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
struct sparse_hashtable_iterator {
 private:
  typedef typename A::template rebind<V>::other value_alloc_type;

 public:
  typedef sparse_hashtable_iterator<V,K,HF,ExK,SetK,EqK,A>       iterator;
  typedef sparse_hashtable_const_iterator<V,K,HF,ExK,SetK,EqK,A> const_iterator;
  typedef typename sparsetable<V,DEFAULT_GROUP_SIZE,A>::nonempty_iterator
      st_iterator;

  typedef STL_NAMESPACE::forward_iterator_tag iterator_category;
  typedef V value_type;
  typedef typename value_alloc_type::difference_type difference_type;
  typedef typename value_alloc_type::size_type size_type;
  typedef typename value_alloc_type::reference reference;
  typedef typename value_alloc_type::pointer pointer;

  // "Real" constructor and default constructor
  sparse_hashtable_iterator(const sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> *h,
                            st_iterator it, st_iterator it_end)
    : ht(h), pos(it), end(it_end)   { advance_past_deleted(); }
  sparse_hashtable_iterator() { }      // not ever used internally
  // The default destructor is fine; we don't define one
  // The default operator= is fine; we don't define one

  // Happy dereferencer
  reference operator*() const { return *pos; }
  pointer operator->() const { return &(operator*()); }

  // Arithmetic.  The only hard part is making sure that
  // we're not on a marked-deleted array element
  void advance_past_deleted() {
    while ( pos != end && ht->test_deleted(*this) )
      ++pos;
  }
  iterator& operator++()   {
    assert(pos != end); ++pos; advance_past_deleted(); return *this;
  }
  iterator operator++(int) { iterator tmp(*this); ++*this; return tmp; }

  // Comparison.
  bool operator==(const iterator& it) const { return pos == it.pos; }
  bool operator!=(const iterator& it) const { return pos != it.pos; }


  // The actual data
  const sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> *ht;
  st_iterator pos, end;
};

// Now do it all again, but with const-ness!
template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
struct sparse_hashtable_const_iterator {
 private:
  typedef typename A::template rebind<V>::other value_alloc_type;

 public:
  typedef sparse_hashtable_iterator<V,K,HF,ExK,SetK,EqK,A>       iterator;
  typedef sparse_hashtable_const_iterator<V,K,HF,ExK,SetK,EqK,A> const_iterator;
  typedef typename sparsetable<V,DEFAULT_GROUP_SIZE,A>::const_nonempty_iterator
      st_iterator;

  typedef STL_NAMESPACE::forward_iterator_tag iterator_category;
  typedef V value_type;
  typedef typename value_alloc_type::difference_type difference_type;
  typedef typename value_alloc_type::size_type size_type;
  typedef typename value_alloc_type::const_reference reference;
  typedef typename value_alloc_type::const_pointer pointer;

  // "Real" constructor and default constructor
  sparse_hashtable_const_iterator(const sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> *h,
                                  st_iterator it, st_iterator it_end)
    : ht(h), pos(it), end(it_end)   { advance_past_deleted(); }
  // This lets us convert regular iterators to const iterators
  sparse_hashtable_const_iterator() { }      // never used internally
  sparse_hashtable_const_iterator(const iterator &it)
    : ht(it.ht), pos(it.pos), end(it.end) { }
  // The default destructor is fine; we don't define one
  // The default operator= is fine; we don't define one

  // Happy dereferencer
  reference operator*() const { return *pos; }
  pointer operator->() const { return &(operator*()); }

  // Arithmetic.  The only hard part is making sure that
  // we're not on a marked-deleted array element
  void advance_past_deleted() {
    while ( pos != end && ht->test_deleted(*this) )
      ++pos;
  }
  const_iterator& operator++() {
    assert(pos != end); ++pos; advance_past_deleted(); return *this;
  }
  const_iterator operator++(int) { const_iterator tmp(*this); ++*this; return tmp; }

  // Comparison.
  bool operator==(const const_iterator& it) const { return pos == it.pos; }
  bool operator!=(const const_iterator& it) const { return pos != it.pos; }


  // The actual data
  const sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> *ht;
  st_iterator pos, end;
};

// And once again, but this time freeing up memory as we iterate
template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
struct sparse_hashtable_destructive_iterator {
 private:
  typedef typename A::template rebind<V>::other value_alloc_type;

 public:
  typedef sparse_hashtable_destructive_iterator<V,K,HF,ExK,SetK,EqK,A> iterator;
  typedef typename sparsetable<V,DEFAULT_GROUP_SIZE,A>::destructive_iterator
      st_iterator;

  typedef STL_NAMESPACE::forward_iterator_tag iterator_category;
  typedef V value_type;
  typedef typename value_alloc_type::difference_type difference_type;
  typedef typename value_alloc_type::size_type size_type;
  typedef typename value_alloc_type::reference reference;
  typedef typename value_alloc_type::pointer pointer;

  // "Real" constructor and default constructor
  sparse_hashtable_destructive_iterator(const
                                        sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> *h,
                                        st_iterator it, st_iterator it_end)
    : ht(h), pos(it), end(it_end)   { advance_past_deleted(); }
  sparse_hashtable_destructive_iterator() { }          // never used internally
  // The default destructor is fine; we don't define one
  // The default operator= is fine; we don't define one

  // Happy dereferencer
  reference operator*() const { return *pos; }
  pointer operator->() const { return &(operator*()); }

  // Arithmetic.  The only hard part is making sure that
  // we're not on a marked-deleted array element
  void advance_past_deleted() {
    while ( pos != end && ht->test_deleted(*this) )
      ++pos;
  }
  iterator& operator++()   {
    assert(pos != end); ++pos; advance_past_deleted(); return *this;
  }
  iterator operator++(int) { iterator tmp(*this); ++*this; return tmp; }

  // Comparison.
  bool operator==(const iterator& it) const { return pos == it.pos; }
  bool operator!=(const iterator& it) const { return pos != it.pos; }


  // The actual data
  const sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> *ht;
  st_iterator pos, end;
};


template <class Value, class Key, class HashFcn,
          class ExtractKey, class SetKey, class EqualKey, class Alloc>
class sparse_hashtable {
 private:
  typedef typename Alloc::template rebind<Value>::other value_alloc_type;

 public:
  typedef Key key_type;
  typedef Value value_type;
  typedef HashFcn hasher;
  typedef EqualKey key_equal;
  typedef Alloc allocator_type;

  typedef typename value_alloc_type::size_type size_type;
  typedef typename value_alloc_type::difference_type difference_type;
  typedef typename value_alloc_type::reference reference;
  typedef typename value_alloc_type::const_reference const_reference;
  typedef typename value_alloc_type::pointer pointer;
  typedef typename value_alloc_type::const_pointer const_pointer;
  typedef sparse_hashtable_iterator<Value, Key, HashFcn, ExtractKey,
                                    SetKey, EqualKey, Alloc>
  iterator;

  typedef sparse_hashtable_const_iterator<Value, Key, HashFcn, ExtractKey,
                                          SetKey, EqualKey, Alloc>
  const_iterator;

  typedef sparse_hashtable_destructive_iterator<Value, Key, HashFcn, ExtractKey,
                                                SetKey, EqualKey, Alloc>
  destructive_iterator;

  // These come from tr1.  For us they're the same as regular iterators.
  typedef iterator local_iterator;
  typedef const_iterator const_local_iterator;

  // How full we let the table get before we resize, by default.
  // Knuth says .8 is good -- higher causes us to probe too much,
  // though it saves memory.
  static const int HT_OCCUPANCY_PCT; // = 80 (out of 100);

  // How empty we let the table get before we resize lower, by default.
  // (0.0 means never resize lower.)
  // It should be less than OCCUPANCY_PCT / 2 or we thrash resizing
  static const int HT_EMPTY_PCT; // = 0.4 * HT_OCCUPANCY_PCT;

  // Minimum size we're willing to let hashtables be.
  // Must be a power of two, and at least 4.
  // Note, however, that for a given hashtable, the initial size is a
  // function of the first constructor arg, and may be >HT_MIN_BUCKETS.
  static const size_type HT_MIN_BUCKETS = 4;

  // By default, if you don't specify a hashtable size at
  // construction-time, we use this size.  Must be a power of two, and
  // at least HT_MIN_BUCKETS.
  static const size_type HT_DEFAULT_STARTING_BUCKETS = 32;

  // ITERATOR FUNCTIONS
  iterator begin()             { return iterator(this, table.nonempty_begin(),
                                                 table.nonempty_end()); }
  iterator end()               { return iterator(this, table.nonempty_end(),
                                                 table.nonempty_end()); }
  const_iterator begin() const { return const_iterator(this,
                                                       table.nonempty_begin(),
                                                       table.nonempty_end()); }
  const_iterator end() const   { return const_iterator(this,
                                                       table.nonempty_end(),
                                                       table.nonempty_end()); }

  // These come from tr1 unordered_map.  They iterate over 'bucket' n.
  // For sparsehashtable, we could consider each 'group' to be a bucket,
  // I guess, but I don't really see the point.  We'll just consider
  // bucket n to be the n-th element of the sparsetable, if it's occupied,
  // or some empty element, otherwise.
  local_iterator begin(size_type i) {
    if (table.test(i))
      return local_iterator(this, table.get_iter(i), table.nonempty_end());
    else
      return local_iterator(this, table.nonempty_end(), table.nonempty_end());
  }
  local_iterator end(size_type i) {
    local_iterator it = begin(i);
    if (table.test(i) && !test_deleted(i))
      ++it;
    return it;
  }
  const_local_iterator begin(size_type i) const {
    if (table.test(i))
      return const_local_iterator(this, table.get_iter(i),
                                  table.nonempty_end());
    else
      return const_local_iterator(this, table.nonempty_end(),
                                  table.nonempty_end());
  }
  const_local_iterator end(size_type i) const {
    const_local_iterator it = begin(i);
    if (table.test(i) && !test_deleted(i))
      ++it;
    return it;
  }

  // This is used when resizing
  destructive_iterator destructive_begin() {
    return destructive_iterator(this, table.destructive_begin(),
                                table.destructive_end());
  }
  destructive_iterator destructive_end() {
    return destructive_iterator(this, table.destructive_end(),
                                table.destructive_end());
  }


  // ACCESSOR FUNCTIONS for the things we templatize on, basically
  hasher hash_funct() const               { return settings; }
  key_equal key_eq() const                { return key_info; }
  allocator_type get_allocator() const    { return table.get_allocator(); }

  // Accessor function for statistics gathering.
  int num_table_copies() const { return settings.num_ht_copies(); }

 private:
  // We need to copy values when we set the special marker for deleted
  // elements, but, annoyingly, we can't just use the copy assignment
  // operator because value_type might not be assignable (it's often
  // pair<const X, Y>).  We use explicit destructor invocation and
  // placement new to get around this.  Arg.
  void set_value(pointer dst, const_reference src) {
    dst->~value_type();   // delete the old value, if any
    new(dst) value_type(src);
  }

  // This is used as a tag for the copy constructor, saying to destroy its
  // arg We have two ways of destructively copying: with potentially growing
  // the hashtable as we copy, and without.  To make sure the outside world
  // can't do a destructive copy, we make the typename private.
  enum MoveDontCopyT {MoveDontCopy, MoveDontGrow};

  // DELETE HELPER FUNCTIONS
  // This lets the user describe a key that will indicate deleted
  // table entries.  This key should be an "impossible" entry --
  // if you try to insert it for real, you won't be able to retrieve it!
  // (NB: while you pass in an entire value, only the key part is looked
  // at.  This is just because I don't know how to assign just a key.)
 private:
  void squash_deleted() {           // gets rid of any deleted entries we have
    if ( num_deleted ) {            // get rid of deleted before writing
      sparse_hashtable tmp(MoveDontGrow, *this);
      swap(tmp);                    // now we are tmp
    }
    assert(num_deleted == 0);
  }

  bool test_deleted_key(const key_type& key) const {
    // The num_deleted test is crucial for read(): after read(), the ht values
    // are garbage, and we don't want to think some of them are deleted.
    // Invariant: !use_deleted implies num_deleted is 0.
    assert(settings.use_deleted() || num_deleted == 0);
    return num_deleted > 0 && equals(key_info.delkey, key);
  }

 public:
  void set_deleted_key(const key_type &key) {
    // It's only safe to change what "deleted" means if we purge deleted guys
    squash_deleted();
    settings.set_use_deleted(true);
    key_info.delkey = key;
  }
  void clear_deleted_key() {
    squash_deleted();
    settings.set_use_deleted(false);
  }
  key_type deleted_key() const {
    assert(settings.use_deleted()
           && "Must set deleted key before calling deleted_key");
    return key_info.delkey;
  }

  // These are public so the iterators can use them
  // True if the item at position bucknum is "deleted" marker
  bool test_deleted(size_type bucknum) const {
    if (num_deleted == 0 || !table.test(bucknum)) return false;
    return test_deleted_key(get_key(table.unsafe_get(bucknum)));
  }
  bool test_deleted(const iterator &it) const {
    if (!settings.use_deleted()) return false;
    return test_deleted_key(get_key(*it));
  }
  bool test_deleted(const const_iterator &it) const {
    if (!settings.use_deleted()) return false;
    return test_deleted_key(get_key(*it));
  }
  bool test_deleted(const destructive_iterator &it) const {
    if (!settings.use_deleted()) return false;
    return test_deleted_key(get_key(*it));
  }

 private:
  // Set it so test_deleted is true.  true if object didn't used to be deleted.
  // TODO(csilvers): make these private (also in densehashtable.h)
  bool set_deleted(iterator &it) {
    assert(settings.use_deleted());
    bool retval = !test_deleted(it);
    // &* converts from iterator to value-type.
    set_key(&(*it), key_info.delkey);
    return retval;
  }
  // Set it so test_deleted is false.  true if object used to be deleted.
  bool clear_deleted(iterator &it) {
    assert(settings.use_deleted());
    // Happens automatically when we assign something else in its place.
    return test_deleted(it);
  }

  // We also allow to set/clear the deleted bit on a const iterator.
  // We allow a const_iterator for the same reason you can delete a
  // const pointer: it's convenient, and semantically you can't use
  // 'it' after it's been deleted anyway, so its const-ness doesn't
  // really matter.
  bool set_deleted(const_iterator &it) {
    assert(settings.use_deleted());   // bad if set_deleted_key() wasn't called
    bool retval = !test_deleted(it);
    set_key(const_cast<pointer>(&(*it)), key_info.delkey);
    return retval;
  }
  // Set it so test_deleted is false.  true if object used to be deleted.
  bool clear_deleted(const_iterator &it) {
    assert(settings.use_deleted());   // bad if set_deleted_key() wasn't called
    return test_deleted(it);
  }

  // FUNCTIONS CONCERNING SIZE
 public:
  size_type size() const      { return table.num_nonempty() - num_deleted; }
  size_type max_size() const          { return table.max_size(); }
  bool empty() const                  { return size() == 0; }
  size_type bucket_count() const      { return table.size(); }
  size_type max_bucket_count() const  { return max_size(); }
  // These are tr1 methods.  Their idea of 'bucket' doesn't map well to
  // what we do.  We just say every bucket has 0 or 1 items in it.
  size_type bucket_size(size_type i) const {
    return begin(i) == end(i) ? 0 : 1;
  }

 private:
  // Because of the above, size_type(-1) is never legal; use it for errors
  static const size_type ILLEGAL_BUCKET = size_type(-1);

  // Used after a string of deletes.  Returns true if we actually shrunk.
  // TODO(csilvers): take a delta so we can take into account inserts
  // done after shrinking.  Maybe make part of the Settings class?
  bool maybe_shrink() {
    assert(table.num_nonempty() >= num_deleted);
    assert((bucket_count() & (bucket_count()-1)) == 0); // is a power of two
    assert(bucket_count() >= HT_MIN_BUCKETS);
    bool retval = false;

    // If you construct a hashtable with < HT_DEFAULT_STARTING_BUCKETS,
    // we'll never shrink until you get relatively big, and we'll never
    // shrink below HT_DEFAULT_STARTING_BUCKETS.  Otherwise, something
    // like "dense_hash_set<int> x; x.insert(4); x.erase(4);" will
    // shrink us down to HT_MIN_BUCKETS buckets, which is too small.
    const size_type num_remain = table.num_nonempty() - num_deleted;
    const size_type shrink_threshold = settings.shrink_threshold();
    if (shrink_threshold > 0 && num_remain < shrink_threshold &&
        bucket_count() > HT_DEFAULT_STARTING_BUCKETS) {
      const float shrink_factor = settings.shrink_factor();
      size_type sz = bucket_count() / 2;    // find how much we should shrink
      while (sz > HT_DEFAULT_STARTING_BUCKETS &&
             num_remain < static_cast<size_type>(sz * shrink_factor)) {
        sz /= 2;                            // stay a power of 2
      }
      sparse_hashtable tmp(MoveDontCopy, *this, sz);
      swap(tmp);                            // now we are tmp
      retval = true;
    }
    settings.set_consider_shrink(false);   // because we just considered it
    return retval;
  }

  // We'll let you resize a hashtable -- though this makes us copy all!
  // When you resize, you say, "make it big enough for this many more elements"
  // Returns true if we actually resized, false if size was already ok.
  bool resize_delta(size_type delta) {
    bool did_resize = false;
    if ( settings.consider_shrink() ) {  // see if lots of deletes happened
      if ( maybe_shrink() )
        did_resize = true;
    }
    if (table.num_nonempty() >=
        (STL_NAMESPACE::numeric_limits<size_type>::max)() - delta)
      throw std::length_error("resize overflow");
    if ( bucket_count() >= HT_MIN_BUCKETS &&
         (table.num_nonempty() + delta) <= settings.enlarge_threshold() )
      return did_resize;                       // we're ok as we are

    // Sometimes, we need to resize just to get rid of all the
    // "deleted" buckets that are clogging up the hashtable.  So when
    // deciding whether to resize, count the deleted buckets (which
    // are currently taking up room).  But later, when we decide what
    // size to resize to, *don't* count deleted buckets, since they
    // get discarded during the resize.
    const size_type needed_size =
        settings.min_buckets(table.num_nonempty() + delta, 0);
    if ( needed_size <= bucket_count() )      // we have enough buckets
      return did_resize;

    size_type resize_to =
        settings.min_buckets(table.num_nonempty() - num_deleted + delta,
                             bucket_count());
    if (resize_to < needed_size &&    // may double resize_to
        resize_to < (STL_NAMESPACE::numeric_limits<size_type>::max)() / 2) {
      // This situation means that we have enough deleted elements,
      // that once we purge them, we won't actually have needed to
      // grow.  But we may want to grow anyway: if we just purge one
      // element, say, we'll have to grow anyway next time we
      // insert.  Might as well grow now, since we're already going
      // through the trouble of copying (in order to purge the
      // deleted elements).
      const size_type target =
          static_cast<size_type>(settings.shrink_size(resize_to*2));
      if (table.num_nonempty() - num_deleted + delta >= target) {
        // Good, we won't be below the shrink threshhold even if we double.
        resize_to *= 2;
      }
    }

    sparse_hashtable tmp(MoveDontCopy, *this, resize_to);
    swap(tmp);                             // now we are tmp
    return true;
  }

  // Used to actually do the rehashing when we grow/shrink a hashtable
  void copy_from(const sparse_hashtable &ht, size_type min_buckets_wanted) {
    clear();            // clear table, set num_deleted to 0

    // If we need to change the size of our table, do it now
    const size_type resize_to =
        settings.min_buckets(ht.size(), min_buckets_wanted);
    if ( resize_to > bucket_count() ) {      // we don't have enough buckets
      table.resize(resize_to);               // sets the number of buckets
      settings.reset_thresholds(bucket_count());
    }

    // We use a normal iterator to get non-deleted bcks from ht
    // We could use insert() here, but since we know there are
    // no duplicates and no deleted items, we can be more efficient
    assert((bucket_count() & (bucket_count()-1)) == 0);      // a power of two
    for ( const_iterator it = ht.begin(); it != ht.end(); ++it ) {
      size_type num_probes = 0;              // how many times we've probed
      size_type bucknum;
      const size_type bucket_count_minus_one = bucket_count() - 1;
      for (bucknum = hash(get_key(*it)) & bucket_count_minus_one;
           table.test(bucknum);                          // not empty
           bucknum = (bucknum + JUMP_(key, num_probes)) & bucket_count_minus_one) {
        ++num_probes;
        assert(num_probes < bucket_count()
               && "Hashtable is full: an error in key_equal<> or hash<>");
      }
      table.set(bucknum, *it);               // copies the value to here
    }
    settings.inc_num_ht_copies();
  }

  // Implementation is like copy_from, but it destroys the table of the
  // "from" guy by freeing sparsetable memory as we iterate.  This is
  // useful in resizing, since we're throwing away the "from" guy anyway.
  void move_from(MoveDontCopyT mover, sparse_hashtable &ht,
                 size_type min_buckets_wanted) {
    clear();            // clear table, set num_deleted to 0

    // If we need to change the size of our table, do it now
    size_type resize_to;
    if ( mover == MoveDontGrow )
      resize_to = ht.bucket_count();         // keep same size as old ht
    else                                     // MoveDontCopy
      resize_to = settings.min_buckets(ht.size(), min_buckets_wanted);
    if ( resize_to > bucket_count() ) {      // we don't have enough buckets
      table.resize(resize_to);               // sets the number of buckets
      settings.reset_thresholds(bucket_count());
    }

    // We use a normal iterator to get non-deleted bcks from ht
    // We could use insert() here, but since we know there are
    // no duplicates and no deleted items, we can be more efficient
    assert( (bucket_count() & (bucket_count()-1)) == 0);      // a power of two
    // THIS IS THE MAJOR LINE THAT DIFFERS FROM COPY_FROM():
    for ( destructive_iterator it = ht.destructive_begin();
          it != ht.destructive_end(); ++it ) {
      size_type num_probes = 0;              // how many times we've probed
      size_type bucknum;
      for ( bucknum = hash(get_key(*it)) & (bucket_count()-1);  // h % buck_cnt
            table.test(bucknum);                          // not empty
            bucknum = (bucknum + JUMP_(key, num_probes)) & (bucket_count()-1) ) {
        ++num_probes;
        assert(num_probes < bucket_count()
               && "Hashtable is full: an error in key_equal<> or hash<>");
      }
      table.set(bucknum, *it);               // copies the value to here
    }
    settings.inc_num_ht_copies();
  }


  // Required by the spec for hashed associative container
 public:
  // Though the docs say this should be num_buckets, I think it's much
  // more useful as num_elements.  As a special feature, calling with
  // req_elements==0 will cause us to shrink if we can, saving space.
  void resize(size_type req_elements) {       // resize to this or larger
    if ( settings.consider_shrink() || req_elements == 0 )
      maybe_shrink();
    if ( req_elements > table.num_nonempty() )    // we only grow
      resize_delta(req_elements - table.num_nonempty());
  }

  // Get and change the value of shrink_factor and enlarge_factor.  The
  // description at the beginning of this file explains how to choose
  // the values.  Setting the shrink parameter to 0.0 ensures that the
  // table never shrinks.
  void get_resizing_parameters(float* shrink, float* grow) const {
    *shrink = settings.shrink_factor();
    *grow = settings.enlarge_factor();
  }
  void set_resizing_parameters(float shrink, float grow) {
    settings.set_resizing_parameters(shrink, grow);
    settings.reset_thresholds(bucket_count());
  }

  // CONSTRUCTORS -- as required by the specs, we take a size,
  // but also let you specify a hashfunction, key comparator,
  // and key extractor.  We also define a copy constructor and =.
  // DESTRUCTOR -- the default is fine, surprisingly.
  explicit sparse_hashtable(size_type expected_max_items_in_table = 0,
                            const HashFcn& hf = HashFcn(),
                            const EqualKey& eql = EqualKey(),
                            const ExtractKey& ext = ExtractKey(),
                            const SetKey& set = SetKey(),
                            const Alloc& alloc = Alloc())
      : settings(hf),
        key_info(ext, set, eql),
        num_deleted(0),
        table((expected_max_items_in_table == 0
               ? HT_DEFAULT_STARTING_BUCKETS
               : settings.min_buckets(expected_max_items_in_table, 0)),
              alloc) {
    settings.reset_thresholds(bucket_count());
  }

  // As a convenience for resize(), we allow an optional second argument
  // which lets you make this new hashtable a different size than ht.
  // We also provide a mechanism of saying you want to "move" the ht argument
  // into us instead of copying.
  sparse_hashtable(const sparse_hashtable& ht,
                   size_type min_buckets_wanted = HT_DEFAULT_STARTING_BUCKETS)
      : settings(ht.settings),
        key_info(ht.key_info),
        num_deleted(0),
        table(0, ht.get_allocator()) {
    settings.reset_thresholds(bucket_count());
    copy_from(ht, min_buckets_wanted);   // copy_from() ignores deleted entries
  }
  sparse_hashtable(MoveDontCopyT mover, sparse_hashtable& ht,
                   size_type min_buckets_wanted = HT_DEFAULT_STARTING_BUCKETS)
      : settings(ht.settings),
        key_info(ht.key_info),
        num_deleted(0),
        table(0, ht.get_allocator()) {
    settings.reset_thresholds(bucket_count());
    move_from(mover, ht, min_buckets_wanted);  // ignores deleted entries
  }

  sparse_hashtable& operator= (const sparse_hashtable& ht) {
    if (&ht == this)  return *this;        // don't copy onto ourselves
    settings = ht.settings;
    key_info = ht.key_info;
    num_deleted = ht.num_deleted;
    // copy_from() calls clear and sets num_deleted to 0 too
    copy_from(ht, HT_MIN_BUCKETS);
    // we purposefully don't copy the allocator, which may not be copyable
    return *this;
  }

  // Many STL algorithms use swap instead of copy constructors
  void swap(sparse_hashtable& ht) {
    STL_NAMESPACE::swap(settings, ht.settings);
    STL_NAMESPACE::swap(key_info, ht.key_info);
    STL_NAMESPACE::swap(num_deleted, ht.num_deleted);
    table.swap(ht.table);
  }

  // It's always nice to be able to clear a table without deallocating it
  void clear() {
    if (!empty() || (num_deleted != 0)) {
      table.clear();
    }
    settings.reset_thresholds(bucket_count());
    num_deleted = 0;
  }

  // LOOKUP ROUTINES
 private:
  // Returns a pair of positions: 1st where the object is, 2nd where
  // it would go if you wanted to insert it.  1st is ILLEGAL_BUCKET
  // if object is not found; 2nd is ILLEGAL_BUCKET if it is.
  // Note: because of deletions where-to-insert is not trivial: it's the
  // first deleted bucket we see, as long as we don't find the key later
  pair<size_type, size_type> find_position(const key_type &key) const {
    size_type num_probes = 0;              // how many times we've probed
    const size_type bucket_count_minus_one = bucket_count() - 1;
    size_type bucknum = hash(key) & bucket_count_minus_one;
    size_type insert_pos = ILLEGAL_BUCKET; // where we would insert
    SPARSEHASH_STAT_UPDATE(total_lookups += 1);
    while ( 1 ) {                          // probe until something happens
      if ( !table.test(bucknum) ) {        // bucket is empty
        SPARSEHASH_STAT_UPDATE(total_probes += num_probes);
        if ( insert_pos == ILLEGAL_BUCKET )  // found no prior place to insert
          return pair<size_type,size_type>(ILLEGAL_BUCKET, bucknum);
        else
          return pair<size_type,size_type>(ILLEGAL_BUCKET, insert_pos);

      } else if ( test_deleted(bucknum) ) {// keep searching, but mark to insert
        if ( insert_pos == ILLEGAL_BUCKET )
          insert_pos = bucknum;

      } else if ( equals(key, get_key(table.unsafe_get(bucknum))) ) {
        SPARSEHASH_STAT_UPDATE(total_probes += num_probes);
        return pair<size_type,size_type>(bucknum, ILLEGAL_BUCKET);
      }
      ++num_probes;                        // we're doing another probe
      bucknum = (bucknum + JUMP_(key, num_probes)) & bucket_count_minus_one;
      assert(num_probes < bucket_count()
             && "Hashtable is full: an error in key_equal<> or hash<>");
    }
  }

 public:
  iterator find(const key_type& key) {
    if ( size() == 0 ) return end();
    pair<size_type, size_type> pos = find_position(key);
    if ( pos.first == ILLEGAL_BUCKET )     // alas, not there
      return end();
    else
      return iterator(this, table.get_iter(pos.first), table.nonempty_end());
  }

  const_iterator find(const key_type& key) const {
    if ( size() == 0 ) return end();
    pair<size_type, size_type> pos = find_position(key);
    if ( pos.first == ILLEGAL_BUCKET )     // alas, not there
      return end();
    else
      return const_iterator(this,
                            table.get_iter(pos.first), table.nonempty_end());
  }

  // This is a tr1 method: the bucket a given key is in, or what bucket
  // it would be put in, if it were to be inserted.  Shrug.
  size_type bucket(const key_type& key) const {
    pair<size_type, size_type> pos = find_position(key);
    return pos.first == ILLEGAL_BUCKET ? pos.second : pos.first;
  }

  // Counts how many elements have key key.  For maps, it's either 0 or 1.
  size_type count(const key_type &key) const {
    pair<size_type, size_type> pos = find_position(key);
    return pos.first == ILLEGAL_BUCKET ? 0 : 1;
  }

  // Likewise, equal_range doesn't really make sense for us.  Oh well.
  pair<iterator,iterator> equal_range(const key_type& key) {
    iterator pos = find(key);      // either an iterator or end
    if (pos == end()) {
      return pair<iterator,iterator>(pos, pos);
    } else {
      const iterator startpos = pos++;
      return pair<iterator,iterator>(startpos, pos);
    }
  }
  pair<const_iterator,const_iterator> equal_range(const key_type& key) const {
    const_iterator pos = find(key);      // either an iterator or end
    if (pos == end()) {
      return pair<const_iterator,const_iterator>(pos, pos);
    } else {
      const const_iterator startpos = pos++;
      return pair<const_iterator,const_iterator>(startpos, pos);
    }
  }


  // INSERTION ROUTINES
 private:
  // Private method used by insert_noresize and find_or_insert.
  iterator insert_at(const_reference obj, size_type pos) {
    if (size() >= max_size())
      throw std::length_error("insert overflow");
    if ( test_deleted(pos) ) {      // just replace if it's been deleted
      // The set() below will undelete this object.  We just worry about stats
      assert(num_deleted > 0);
      --num_deleted;                // used to be, now it isn't
    }
    table.set(pos, obj);
    return iterator(this, table.get_iter(pos), table.nonempty_end());
  }

  // If you know *this is big enough to hold obj, use this routine
  pair<iterator, bool> insert_noresize(const_reference obj) {
    // First, double-check we're not inserting delkey
    assert((!settings.use_deleted() || !equals(get_key(obj), key_info.delkey))
           && "Inserting the deleted key");
    const pair<size_type,size_type> pos = find_position(get_key(obj));
    if ( pos.first != ILLEGAL_BUCKET) {      // object was already there
      return pair<iterator,bool>(iterator(this, table.get_iter(pos.first),
                                          table.nonempty_end()),
                                 false);          // false: we didn't insert
    } else {                                 // pos.second says where to put it
      return pair<iterator,bool>(insert_at(obj, pos.second), true);
    }
  }

  // Specializations of insert(it, it) depending on the power of the iterator:
  // (1) Iterator supports operator-, resize before inserting
  template <class ForwardIterator>
  void insert(ForwardIterator f, ForwardIterator l, STL_NAMESPACE::forward_iterator_tag) {
    size_t dist = STL_NAMESPACE::distance(f, l);
    if (dist >= (std::numeric_limits<size_type>::max)())
      throw std::length_error("insert-range overflow");
    resize_delta(static_cast<size_type>(dist));
    for ( ; dist > 0; --dist, ++f) {
      insert_noresize(*f);
    }
  }

  // (2) Arbitrary iterator, can't tell how much to resize
  template <class InputIterator>
  void insert(InputIterator f, InputIterator l, STL_NAMESPACE::input_iterator_tag) {
    for ( ; f != l; ++f)
      insert(*f);
  }

 public:
  // This is the normal insert routine, used by the outside world
  pair<iterator, bool> insert(const_reference obj) {
    resize_delta(1);                      // adding an object, grow if need be
    return insert_noresize(obj);
  }

  // When inserting a lot at a time, we specialize on the type of iterator
  template <class InputIterator>
  void insert(InputIterator f, InputIterator l) {
    // specializes on iterator type
    insert(f, l, typename STL_NAMESPACE::iterator_traits<InputIterator>::iterator_category());
  }

  // This is public only because sparse_hash_map::operator[] uses it.
  // It does the minimal amount of work to implement operator[].
  template <class DataType>
  DataType& find_or_insert(const key_type& key) {
    // First, double-check we're not inserting delkey
    assert((!settings.use_deleted() || !equals(key, key_info.delkey))
           && "Inserting the deleted key");
    const pair<size_type,size_type> pos = find_position(key);
    if ( pos.first != ILLEGAL_BUCKET) {  // object was already there
      return table.get_iter(pos.first)->second;
    } else if (resize_delta(1)) {        // needed to rehash to make room
      // Since we resized, we can't use pos, so recalculate where to insert.
      return insert_noresize(value_type(key, DataType())).first->second;
    } else {                             // no need to rehash, insert right here
      return insert_at(value_type(key, DataType()), pos.second)->second;
    }
  }

  // DELETION ROUTINES
  size_type erase(const key_type& key) {
    // First, double-check we're not erasing delkey.
    assert((!settings.use_deleted() || !equals(key, key_info.delkey))
           && "Erasing the deleted key");
    assert(!settings.use_deleted() || !equals(key, key_info.delkey));
    const_iterator pos = find(key);   // shrug: shouldn't need to be const
    if ( pos != end() ) {
      assert(!test_deleted(pos));  // or find() shouldn't have returned it
      set_deleted(pos);
      ++num_deleted;
      // will think about shrink after next insert
      settings.set_consider_shrink(true);
      return 1;                    // because we deleted one thing
    } else {
      return 0;                    // because we deleted nothing
    }
  }

  // We return the iterator past the deleted item.
  void erase(iterator pos) {
    if ( pos == end() ) return;    // sanity check
    if ( set_deleted(pos) ) {      // true if object has been newly deleted
      ++num_deleted;
      // will think about shrink after next insert
      settings.set_consider_shrink(true);
    }
  }

  void erase(iterator f, iterator l) {
    for ( ; f != l; ++f) {
      if ( set_deleted(f)  )       // should always be true
        ++num_deleted;
    }
    // will think about shrink after next insert
    settings.set_consider_shrink(true);
  }

  // We allow you to erase a const_iterator just like we allow you to
  // erase an iterator.  This is in parallel to 'delete': you can delete
  // a const pointer just like a non-const pointer.  The logic is that
  // you can't use the object after it's erased anyway, so it doesn't matter
  // if it's const or not.
  void erase(const_iterator pos) {
    if ( pos == end() ) return;    // sanity check
    if ( set_deleted(pos) ) {      // true if object has been newly deleted
      ++num_deleted;
      // will think about shrink after next insert
      settings.set_consider_shrink(true);
    }
  }
  void erase(const_iterator f, const_iterator l) {
    for ( ; f != l; ++f) {
      if ( set_deleted(f)  )       // should always be true
        ++num_deleted;
    }
    // will think about shrink after next insert
    settings.set_consider_shrink(true);
  }


  // COMPARISON
  bool operator==(const sparse_hashtable& ht) const {
    if (size() != ht.size()) {
      return false;
    } else if (this == &ht) {
      return true;
    } else {
      // Iterate through the elements in "this" and see if the
      // corresponding element is in ht
      for ( const_iterator it = begin(); it != end(); ++it ) {
        const_iterator it2 = ht.find(get_key(*it));
        if ((it2 == ht.end()) || (*it != *it2)) {
          return false;
        }
      }
      return true;
    }
  }
  bool operator!=(const sparse_hashtable& ht) const {
    return !(*this == ht);
  }


  // I/O
  // We support reading and writing hashtables to disk.  NOTE that
  // this only stores the hashtable metadata, not the stuff you've
  // actually put in the hashtable!  Alas, since I don't know how to
  // write a hasher or key_equal, you have to make sure everything
  // but the table is the same.  We compact before writing.
  bool write_metadata(FILE *fp) {
    squash_deleted();           // so we don't have to worry about delkey
    return table.write_metadata(fp);
  }

  bool read_metadata(FILE *fp) {
    num_deleted = 0;            // since we got rid before writing
    bool result = table.read_metadata(fp);
    settings.reset_thresholds(bucket_count());
    return result;
  }

  // Only meaningful if value_type is a POD.
  bool write_nopointer_data(FILE *fp) {
    return table.write_nopointer_data(fp);
  }

  // Only meaningful if value_type is a POD.
  bool read_nopointer_data(FILE *fp) {
    return table.read_nopointer_data(fp);
  }

 private:
  // Table is the main storage class.
  typedef sparsetable<value_type, DEFAULT_GROUP_SIZE, value_alloc_type> Table;

  // Package templated functors with the other types to eliminate memory
  // needed for storing these zero-size operators.  Since ExtractKey and
  // hasher's operator() might have the same function signature, they
  // must be packaged in different classes.
  struct Settings :
      sh_hashtable_settings<key_type, hasher, size_type, HT_MIN_BUCKETS> {
    explicit Settings(const hasher& hf)
        : sh_hashtable_settings<key_type, hasher, size_type, HT_MIN_BUCKETS>(
            hf, HT_OCCUPANCY_PCT / 100.0f, HT_EMPTY_PCT / 100.0f) {}
  };

  // KeyInfo stores delete key and packages zero-size functors:
  // ExtractKey and SetKey.
  class KeyInfo : public ExtractKey, public SetKey, public key_equal {
   public:
    KeyInfo(const ExtractKey& ek, const SetKey& sk, const key_equal& eq)
        : ExtractKey(ek),
          SetKey(sk),
          key_equal(eq) {
    }
    const key_type get_key(const_reference v) const {
      return ExtractKey::operator()(v);
    }
    void set_key(pointer v, const key_type& k) const {
      SetKey::operator()(v, k);
    }
    bool equals(const key_type& a, const key_type& b) const {
      return key_equal::operator()(a, b);
    }

    // Which key marks deleted entries.
    // TODO(csilvers): make a pointer, and get rid of use_deleted (benchmark!)
    typename remove_const<key_type>::type delkey;
  };

  // Utility functions to access the templated operators
  size_type hash(const key_type& v) const {
    return settings.hash(v);
  }
  bool equals(const key_type& a, const key_type& b) const {
    return key_info.equals(a, b);
  }
  const key_type get_key(const_reference v) const {
    return key_info.get_key(v);
  }
  void set_key(pointer v, const key_type& k) const {
    key_info.set_key(v, k);
  }

 private:
  // Actual data
  Settings settings;
  KeyInfo key_info;
  size_type num_deleted;   // how many occupied buckets are marked deleted
  Table table;     // holds num_buckets and num_elements too
};


// We need a global swap as well
template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
inline void swap(sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> &x,
                 sparse_hashtable<V,K,HF,ExK,SetK,EqK,A> &y) {
  x.swap(y);
}

#undef JUMP_

template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
const typename sparse_hashtable<V,K,HF,ExK,SetK,EqK,A>::size_type
  sparse_hashtable<V,K,HF,ExK,SetK,EqK,A>::ILLEGAL_BUCKET;

// How full we let the table get before we resize.  Knuth says .8 is
// good -- higher causes us to probe too much, though saves memory
template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
const int sparse_hashtable<V,K,HF,ExK,SetK,EqK,A>::HT_OCCUPANCY_PCT = 80;

// How empty we let the table get before we resize lower.
// It should be less than OCCUPANCY_PCT / 2 or we thrash resizing
template <class V, class K, class HF, class ExK, class SetK, class EqK, class A>
const int sparse_hashtable<V,K,HF,ExK,SetK,EqK,A>::HT_EMPTY_PCT
  = static_cast<int>(0.4 *
                     sparse_hashtable<V,K,HF,ExK,SetK,EqK,A>::HT_OCCUPANCY_PCT);

_END_GOOGLE_NAMESPACE_

#endif /* _SPARSEHASHTABLE_H_ */