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      1 Name: Binary-, RedBlack- and AVL-Trees in Python and Cython
      2 Short Name: bintrees
      3 URL: https://pypi.python.org/pypi/bintrees/
      4 Version: 1.0.1
      5 Date: February 24, 2013
      6 License: MIT License
      7 License File: LICENSE.txt
      8 Security Critical: no
      9 
     10 Description:
     11 A Python library which provides Binary-, RedBlack- and AVL-Trees in Python and
     12 Cython.
     13 
     14 Local Modifications:
     15 Removed PKG-INFO, setup.py and tests.
     16 

README.txt

      1 Binary Tree Package
      2 ===================
      3 
      4 Abstract
      5 ========
      6 
      7 This package provides Binary- RedBlack- and AVL-Trees written in Python and Cython.
      8 
      9 This Classes are much slower than the built-in dict class, but all
     10 iterators/generators yielding data in sorted key order.
     11 
     12 Source of Algorithms
     13 --------------------
     14 
     15 AVL- and RBTree algorithms taken from Julienne Walker: http://eternallyconfuzzled.com/jsw_home.aspx
     16 
     17 Trees written in Python (only standard library)
     18 -----------------------------------------------
     19 
     20     - *BinaryTree* -- unbalanced binary tree
     21     - *AVLTree* -- balanced AVL-Tree
     22     - *RBTree* -- balanced Red-Black-Tree
     23 
     24 Trees written with C-Functions and Cython as wrapper
     25 ----------------------------------------------------
     26 
     27     - *FastBinaryTree* -- unbalanced binary tree
     28     - *FastAVLTree* -- balanced AVL-Tree
     29     - *FastRBTree* -- balanced Red-Black-Tree
     30 
     31 All trees provides the same API, the pickle protocol is supported.
     32 
     33 FastXTrees has C-structs as tree-node structure and C-implementation for low level
     34 operations: insert, remove, get_value, max_item, min_item.
     35 
     36 Constructor
     37 ~~~~~~~~~~~
     38 
     39     * Tree() -> new empty tree;
     40     * Tree(mapping) -> new tree initialized from a mapping (requires only an items() method)
     41     * Tree(seq) -> new tree initialized from seq [(k1, v1), (k2, v2), ... (kn, vn)]
     42 
     43 Methods
     44 ~~~~~~~
     45 
     46     * __contains__(k) -> True if T has a key k, else False, O(log(n))
     47     * __delitem__(y) <==> del T[y], del[s:e], O(log(n))
     48     * __getitem__(y) <==> T[y], T[s:e], O(log(n))
     49     * __iter__() <==> iter(T)
     50     * __len__() <==> len(T), O(1)
     51     * __max__() <==> max(T), get max item (k,v) of T, O(log(n))
     52     * __min__() <==> min(T), get min item (k,v) of T, O(log(n))
     53     * __and__(other) <==> T & other, intersection
     54     * __or__(other) <==> T | other, union
     55     * __sub__(other) <==> T - other, difference
     56     * __xor__(other) <==> T ^ other, symmetric_difference
     57     * __repr__() <==> repr(T)
     58     * __setitem__(k, v) <==> T[k] = v, O(log(n))
     59     * clear() -> None, remove all items from T, O(n)
     60     * copy() -> a shallow copy of T, O(n*log(n))
     61     * discard(k) -> None, remove k from T, if k is present, O(log(n))
     62     * get(k[,d]) -> T[k] if k in T, else d, O(log(n))
     63     * is_empty() -> True if len(T) == 0, O(1)
     64     * items([reverse]) -> generator for (k, v) items of T, O(n)
     65     * keys([reverse]) -> generator for keys of T, O(n)
     66     * values([reverse]) -> generator for values of  T, O(n)
     67     * pop(k[,d]) -> v, remove specified key and return the corresponding value, O(log(n))
     68     * popitem() -> (k, v), remove and return some (key, value) pair as a 2-tuple, O(log(n))
     69     * setdefault(k[,d]) -> T.get(k, d), also set T[k]=d if k not in T, O(log(n))
     70     * update(E) -> None.  Update T from dict/iterable E, O(E*log(n))
     71     * foreach(f, [order]) -> visit all nodes of tree (0 = 'inorder', -1 = 'preorder' or +1 = 'postorder') and call f(k, v) for each node, O(n)
     72 
     73 slicing by keys
     74 ~~~~~~~~~~~~~~~
     75 
     76     * itemslice(s, e) -> generator for (k, v) items of T for s <= key < e, O(n)
     77     * keyslice(s, e) -> generator for keys of T for s <= key < e, O(n)
     78     * valueslice(s, e) -> generator for values of T for s <= key < e, O(n)
     79     * T[s:e] -> TreeSlice object, with keys in range s <= key < e, O(n)
     80     * del T[s:e] -> remove items by key slicing, for s <= key < e, O(n)
     81 
     82     start/end parameter:
     83 
     84     * if 's' is None or T[:e] TreeSlice/iterator starts with value of min_key();
     85     * if 'e' is None or T[s:] TreeSlice/iterator ends with value of max_key();
     86     * T[:] is a TreeSlice which represents the whole tree;
     87 
     88     TreeSlice is a tree wrapper with range check, and contains no references
     89     to objects, deleting objects in the associated tree also deletes the object
     90     in the TreeSlice.
     91 
     92     * TreeSlice[k] -> get value for key k, raises KeyError if k not exists in range s:e
     93     * TreeSlice[s1:e1] -> TreeSlice object, with keys in range s1 <= key < e1
     94         - new lower bound is max(s, s1)
     95         - new upper bound is min(e, e1)
     96 
     97     TreeSlice methods:
     98 
     99     * items() -> generator for (k, v) items of T, O(n)
    100     * keys() -> generator for keys of T, O(n)
    101     * values() -> generator for values of  T, O(n)
    102     * __iter__ <==> keys()
    103     * __repr__ <==> repr(T)
    104     * __contains__(key)-> True if TreeSlice has a key k, else False, O(log(n))
    105 
    106 prev/succ operations
    107 ~~~~~~~~~~~~~~~~~~~~
    108 
    109     * prev_item(key) -> get (k, v) pair, where k is predecessor to key, O(log(n))
    110     * prev_key(key) -> k, get the predecessor of key, O(log(n))
    111     * succ_item(key) -> get (k,v) pair as a 2-tuple, where k is successor to key, O(log(n))
    112     * succ_key(key) -> k, get the successor of key, O(log(n))
    113     * floor_item(key) -> get (k, v) pair, where k is the greatest key less than or equal to key, O(log(n))
    114     * floor_key(key) -> k, get the greatest key less than or equal to key, O(log(n))
    115     * ceiling_item(key) -> get (k, v) pair, where k is the smallest key greater than or equal to key, O(log(n))
    116     * ceiling_key(key) -> k, get the smallest key greater than or equal to key, O(log(n))
    117 
    118 Heap methods
    119 ~~~~~~~~~~~~
    120 
    121     * max_item() -> get largest (key, value) pair of T, O(log(n))
    122     * max_key() -> get largest key of T, O(log(n))
    123     * min_item() -> get smallest (key, value) pair of T, O(log(n))
    124     * min_key() -> get smallest key of T, O(log(n))
    125     * pop_min() -> (k, v), remove item with minimum key, O(log(n))
    126     * pop_max() -> (k, v), remove item with maximum key, O(log(n))
    127     * nlargest(i[,pop]) -> get list of i largest items (k, v), O(i*log(n))
    128     * nsmallest(i[,pop]) -> get list of i smallest items (k, v), O(i*log(n))
    129 
    130 Set methods (using frozenset)
    131 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    132 
    133     * intersection(t1, t2, ...) -> Tree with keys *common* to all trees
    134     * union(t1, t2, ...) -> Tree with keys from *either* trees
    135     * difference(t1, t2, ...) -> Tree with keys in T but not any of t1, t2, ...
    136     * symmetric_difference(t1) -> Tree with keys in either T and t1  but not both
    137     * issubset(S) -> True if every element in T is in S
    138     * issuperset(S) -> True if every element in S is in T
    139     * isdisjoint(S) ->  True if T has a null intersection with S
    140 
    141 Classmethods
    142 ~~~~~~~~~~~~
    143 
    144     * fromkeys(S[,v]) -> New tree with keys from S and values equal to v.
    145 
    146 Performance
    147 ===========
    148 
    149 Profiling with timeit(): 5000 unique random int keys, time in seconds
    150 
    151 ========================  =============  ==============  ==============  ==============
    152 unbalanced Trees          CPython 2.7.2  FastBinaryTree  ipy 2.7.0       pypy 1.7.0
    153 ========================  =============  ==============  ==============  ==============
    154 build time 100x            7,55           0,60            2,51            0,29
    155 build & delete time 100x  13,34           1,48            4,45            0,47
    156 search 100x all keys       2,86           0,96            0,27            0,06
    157 ========================  =============  ==============  ==============  ==============
    158 
    159 ========================  =============  ==============  ==============  ==============
    160 AVLTrees                  CPython 2.7.2  FastAVLTree     ipy 2.7.0       pypy 1.7.0
    161 ========================  =============  ==============  ==============  ==============
    162 build time 100x	          22,66           0,65           10,45            1,29
    163 build & delete time 100x  36,71           1,47           20,89            3,02
    164 search 100x all keys       2,34           0,85            0,89            0,14
    165 ========================  =============  ==============  ==============  ==============
    166 
    167 ========================  =============  ==============  ==============  ==============
    168 RBTrees                   CPython 2.7.2  FastRBTree      ipy 2.7.0       pypy 1.7.0
    169 ========================  =============  ==============  ==============  ==============
    170 build time 100x	          14,78           0,65            4,43            0,49
    171 build & delete time 100x  39,34           1,63           12,43            1,32
    172 search 100x all keys       2,32           0,86            0,86            0,13
    173 ========================  =============  ==============  ==============  ==============
    174 
    175 News
    176 ====
    177 
    178 Version 1.0.1 February 2013
    179 
    180   * bug fixes
    181   * refactorings by graingert
    182   * skip useless tests for pypy
    183   * new license: MIT License
    184   * tested with CPython2.7, CPython3.2, CPython3.3, pypy-1.9, pypy-2.0-beta1
    185   * unified line endings to LF
    186   * PEP8 refactorings
    187   * added floor_item/key, ceiling_item/key methods, thanks to Dai Mikurube
    188 
    189 Version 1.0.0
    190 
    191   * bug fixes
    192   * status: 5 - Production/Stable
    193   * removed useless TreeIterator() class and T.treeiter() method.
    194   * patch from Max Motovilov to use Visual Studio 2008 for building C-extensions
    195 
    196 Version 0.4.0
    197 
    198   * API change!!!
    199   * full Python 3 support, also for Cython implementations
    200   * removed user defined compare() function - keys have to be comparable!
    201   * removed T.has_key(), use 'key in T'
    202   * keys(), items(), values() generating 'views'
    203   * removed iterkeys(), itervalues(), iteritems() methods
    204   * replaced index slicing by key slicing
    205   * removed index() and item_at()
    206   * repr() produces a correct representation
    207   * installs on systems without cython (tested with pypy)
    208   * new license: GNU Library or Lesser General Public License (LGPL)
    209 
    210 Installation
    211 ============
    212 
    213 from source::
    214 
    215     python setup.py install
    216 
    217 Download
    218 ========
    219 
    220 http://bitbucket.org/mozman/bintrees/downloads
    221 
    222 Documentation
    223 =============
    224 
    225 this README.txt
    226 
    227 bintrees can be found on bitbucket.org at:
    228 
    229 http://bitbucket.org/mozman/bintrees
    230