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arangodb/lib/Basics/skip-list.h

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////////////////////////////////////////////////////////////////////////////////
/// @brief generic skip list implementation
///
/// @file
///
/// DISCLAIMER
///
/// Copyright 2014 ArangoDB GmbH, Cologne, Germany
/// Copyright 2004-2014 triAGENS GmbH, Cologne, Germany
///
/// Licensed under the Apache License, Version 2.0 (the "License");
/// you may not use this file except in compliance with the License.
/// You may obtain a copy of the License at
///
/// http://www.apache.org/licenses/LICENSE-2.0
///
/// Unless required by applicable law or agreed to in writing, software
/// distributed under the License is distributed on an "AS IS" BASIS,
/// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
/// See the License for the specific language governing permissions and
/// limitations under the License.
///
/// Copyright holder is ArangoDB GmbH, Cologne, Germany
///
/// @author Max Neunhoeffer
/// @author Copyright 2014, ArangoDB GmbH, Cologne, Germany
/// @author Copyright 2013-2013, triAGENS GmbH, Cologne, Germany
////////////////////////////////////////////////////////////////////////////////
#ifndef ARANGODB_BASICS_C_SKIP__LIST_H
#define ARANGODB_BASICS_C_SKIP__LIST_H 1
#include "Basics/Common.h"
// We will probably never see more than 2^48 documents in a skip list
#define TRI_SKIPLIST_MAX_HEIGHT 48
namespace triagens {
namespace basics {
// -----------------------------------------------------------------------------
// --SECTION-- SKIP LIST
// -----------------------------------------------------------------------------
// -----------------------------------------------------------------------------
// --SECTION-- public types
// -----------------------------------------------------------------------------
////////////////////////////////////////////////////////////////////////////////
/// @brief type of a skiplist node
////////////////////////////////////////////////////////////////////////////////
class SkipListNode {
friend class SkipList;
SkipListNode** _next;
SkipListNode* _prev;
void* _doc;
int _height;
public:
void* document () {
return _doc;
}
SkipListNode* nextNode () {
return _next[0];
}
// Note that the prevNode of the first data node is the artificial
// _start node not containing data. This is contrary to the prevNode
// method of the SkipList class, which returns nullptr in that case.
SkipListNode* prevNode () {
return _prev;
}
};
////////////////////////////////////////////////////////////////////////////////
/// @brief two possibilities for comparison, see below
////////////////////////////////////////////////////////////////////////////////
enum SkipListCmpType {
SKIPLIST_CMP_PREORDER,
SKIPLIST_CMP_TOTORDER
};
////////////////////////////////////////////////////////////////////////////////
/// @brief type of a function pointer to a comparison function for a skiplist.
///
/// The last argument is called preorder. If true then the comparison
/// function must implement a preorder (reflexive and transitive).
/// If preorder is false, then a proper total order must be
/// implemented by the comparison function. The proper total order
/// must refine the preorder in the sense that a < b in the proper order
/// implies a <= b in the preorder.
/// The first argument is a data pointer which may contain arbitrary
/// infrastructure needed for the comparison. See cmpdata field in the
/// skiplist type.
/// The cmp_key_elm variant compares a key with an element using the preorder.
/// The first argument is a data pointer as above, the second is a pointer
/// to the key and the third is a pointer to an element.
////////////////////////////////////////////////////////////////////////////////
typedef int (*SkipListCmpElmElm)(void*, void*, void*, SkipListCmpType);
typedef int (*SkipListCmpKeyElm)(void*, void*, void*);
////////////////////////////////////////////////////////////////////////////////
/// @brief Type of a pointer to a function that is called whenever a
/// document is removed from a skiplist.
////////////////////////////////////////////////////////////////////////////////
typedef void (*SkipListFreeFunc)(void*);
////////////////////////////////////////////////////////////////////////////////
/// @brief type of a skiplist
/// _end always points to the last node in the skiplist, this can be the
/// same as the _start node. If a node does not have a successor on a certain
/// level, then the corresponding _next pointer is a nullptr.
////////////////////////////////////////////////////////////////////////////////
class SkipList {
SkipListNode* _start;
SkipListNode* _end;
SkipListCmpElmElm _cmp_elm_elm;
SkipListCmpKeyElm _cmp_key_elm;
void* _cmpdata; // will be the first argument
SkipListFreeFunc _free;
bool _unique; // indicates whether multiple entries that
// are equal in the preorder are allowed in
uint64_t _nrUsed;
size_t _memoryUsed;
public:
// -----------------------------------------------------------------------------
// --SECTION-- constructors and destructors
// -----------------------------------------------------------------------------
////////////////////////////////////////////////////////////////////////////////
/// @brief creates a new skiplist
///
/// Returns nullptr if allocation fails and a pointer to the skiplist
/// otherwise.
////////////////////////////////////////////////////////////////////////////////
SkipList (SkipListCmpElmElm cmp_elm_elm,
SkipListCmpKeyElm cmp_key_elm,
void* cmpdata,
SkipListFreeFunc freefunc,
bool unique);
////////////////////////////////////////////////////////////////////////////////
/// @brief frees a skiplist and all its documents
////////////////////////////////////////////////////////////////////////////////
~SkipList ();
// -----------------------------------------------------------------------------
// --SECTION-- public methods
// -----------------------------------------------------------------------------
////////////////////////////////////////////////////////////////////////////////
/// @brief return the start node, note that this does not return the first
/// data node but the (internal) artificial node stored under _start. This
/// is consistent behaviour with the leftLookup method given a key value
/// of -infinity.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* startNode () const {
return _start;
}
////////////////////////////////////////////////////////////////////////////////
/// @brief return the end node, note that for formal reasons this always
/// returns a nullptr, which stands for the first value outside, in analogy
/// to startNode(). One has to use prevNode(nullptr) to get the last node
/// containing data.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* endNode () const {
return nullptr;
}
////////////////////////////////////////////////////////////////////////////////
/// @brief return the successor node or nullptr if last node
////////////////////////////////////////////////////////////////////////////////
SkipListNode* nextNode (SkipListNode* node) {
return node->_next[0];
}
////////////////////////////////////////////////////////////////////////////////
/// @brief return the predecessor node or _startNode() if first node,
/// it is legal to call this with the nullptr to find the last node
/// containing data, if there is one.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* prevNode (SkipListNode* node) const {
return nullptr == node ? _end : node->_prev;
}
////////////////////////////////////////////////////////////////////////////////
/// @brief inserts a new document into a skiplist
///
/// Comparison is done using proper order comparison. If the skiplist
/// is unique then no two documents that compare equal in the preorder
/// can be inserted. Returns 0 if all is well, -1 if allocation failed
/// and -2 if the unique constraint would have been violated by the
/// insert. In the latter two cases nothing is inserted.
////////////////////////////////////////////////////////////////////////////////
int insert (void* doc);
////////////////////////////////////////////////////////////////////////////////
/// @brief removes a document from a skiplist
///
/// Comparison is done using proper order comparison. Returns 0 if all
/// is well and TRI_ERROR_DOCUMENT_NOT_FOUND if the document was not found.
////////////////////////////////////////////////////////////////////////////////
int remove (void* doc);
////////////////////////////////////////////////////////////////////////////////
/// @brief returns the number of entries in the skiplist.
////////////////////////////////////////////////////////////////////////////////
uint64_t getNrUsed () const {
return _nrUsed;
}
////////////////////////////////////////////////////////////////////////////////
/// @brief returns the memory used by the index
////////////////////////////////////////////////////////////////////////////////
size_t memoryUsage () const {
return _memoryUsed;
}
////////////////////////////////////////////////////////////////////////////////
/// @brief looks up doc in the skiplist using the proper order
/// comparison.
///
/// Only comparisons using the proper order are done using cmp_elm_elm.
/// Returns nullptr if doc is not in the skiplist.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* lookup (void* doc) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief finds the last document that is less to doc in the preorder
/// comparison or the start node if none is.
///
/// Only comparisons using the preorder are done using cmp_elm_elm.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* leftLookup (void* doc) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief finds the last document that is less or equal to doc in
/// the preorder comparison or the start node if none is.
///
/// Only comparisons using the preorder are done using cmp_elm_elm.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* rightLookup (void* doc) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief finds the last document whose key is less to key in the preorder
/// comparison or the start node if none is.
///
/// Only comparisons using the preorder are done using cmp_key_elm.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* leftKeyLookup (void* key) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief finds the last document that is less or equal to doc in
/// the preorder comparison or the start node if none is.
///
/// Only comparisons using the preorder are done using cmp_key_elm.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* rightKeyLookup (void* key) const;
// -----------------------------------------------------------------------------
// --SECTION-- private methods
// -----------------------------------------------------------------------------
private:
////////////////////////////////////////////////////////////////////////////////
/// @brief allocate a new SkipListNode of a certain height. If height is 0,
/// then a random height is taken.
////////////////////////////////////////////////////////////////////////////////
SkipListNode* allocNode (int height);
////////////////////////////////////////////////////////////////////////////////
///// @brief Free function for a node.
////////////////////////////////////////////////////////////////////////////////
void freeNode (SkipListNode* node);
////////////////////////////////////////////////////////////////////////////////
/// @brief lookupLess
/// The following function is the main search engine for our skiplists.
/// It is used in the insertion and removal functions. See below for
/// a tiny variation which is used in the right lookup function.
/// This function does the following:
/// The skiplist sl is searched for the largest document m that is less
/// than doc. It uses preorder comparison if cmp is SKIPLIST_CMP_PREORDER
/// and proper order comparison if cmp is SKIPLIST_CMP_TOTORDER. At the end,
/// (*pos)[0] points to the node containing m and *next points to the
/// node following (*pos)[0], or is nullptr if there is no such node. The
/// array *pos contains for each level lev in 0..sl->start->height-1
/// at (*pos)[lev] the pointer to the node that contains the largest
/// document that is less than doc amongst those nodes that have height >
/// lev.
////////////////////////////////////////////////////////////////////////////////
int lookupLess (void* doc,
SkipListNode* (*pos)[TRI_SKIPLIST_MAX_HEIGHT],
SkipListNode** next,
SkipListCmpType cmptype) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief lookupLessOrEq
/// The following function is nearly as LookupScript above, but
/// finds the largest document m that is less than or equal to doc.
/// It uses preorder comparison if cmp is SKIPLIST_CMP_PREORDER
/// and proper order comparison if cmp is SKIPLIST_CMP_TOTORDER. At the end,
/// (*pos)[0] points to the node containing m and *next points to the
/// node following (*pos)[0], or is nullptr if there is no such node. The
/// array *pos contains for each level lev in 0.._start->_height-1
/// at (*pos)[lev] the pointer to the node that contains the largest
/// document that is less than or equal to doc amongst those nodes
/// that have height > lev.
////////////////////////////////////////////////////////////////////////////////
int lookupLessOrEq (void* doc,
SkipListNode* (*pos)[TRI_SKIPLIST_MAX_HEIGHT],
SkipListNode** next,
SkipListCmpType cmptype) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief lookupKeyLess
/// We have two more very similar functions which look up documents if
/// only a key is given. This implies using the cmp_key_elm function
/// and using the preorder only. Otherwise, they behave identically
/// as the two previous ones.
////////////////////////////////////////////////////////////////////////////////
int lookupKeyLess (void* key,
SkipListNode* (*pos)[TRI_SKIPLIST_MAX_HEIGHT],
SkipListNode** next) const;
////////////////////////////////////////////////////////////////////////////////
/// @brief lookupKeyLessOrEq
////////////////////////////////////////////////////////////////////////////////
int lookupKeyLessOrEq (void* key,
SkipListNode* (*pos)[TRI_SKIPLIST_MAX_HEIGHT],
SkipListNode** next) const;
}; // struct SkipList
} // namespace triagens::basics
} // namespace triagens
#endif
// -----------------------------------------------------------------------------
// --SECTION-- END-OF-FILE
// -----------------------------------------------------------------------------
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