U
    9%e                     @   s<   d Z ddlmZ ddlmZmZ ddlZdgZdddZ	dS )zOperations on trees.    )partial)
accumulatechainNjoinc                    s8  t | dkrtdS t|  \}}t|d  }|dkr<d}ttj|d dd |dd D }tdgt|} fd	d
t||D }dd
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d qqdd |D }	dd |D }
|t|	 |t|
 |D ]}|j|j q |d |dd |D  |S )a  Returns a new rooted tree with a root node joined with the roots
    of each of the given rooted trees.

    Parameters
    ----------
    rooted_trees : list
        A list of pairs in which each left element is a NetworkX graph
        object representing a tree and each right element is the root
        node of that tree. The nodes of these trees will be relabeled to
        integers.

    label_attribute : str
        If provided, the old node labels will be stored in the new tree
        under this node attribute. If not provided, the node attribute
        ``'_old'`` will store the original label of the node in the
        rooted trees given in the input.

    Returns
    -------
    NetworkX graph
        The rooted tree whose subtrees are the given rooted trees. The
        new root node is labeled 0. Each non-root node has an attribute,
        as described under the keyword argument ``label_attribute``,
        that indicates the label of the original node in the input tree.

    Notes
    -----
    Graph, edge, and node attributes are propagated from the given
    rooted trees to the created tree. If there are any overlapping graph
    attributes, those from later trees will overwrite those from earlier
    trees in the tuple of positional arguments.

    Examples
    --------
    Join two full balanced binary trees of height *h* to get a full
    balanced binary tree of depth *h* + 1::

        >>> h = 4
        >>> left = nx.balanced_tree(2, h)
        >>> right = nx.balanced_tree(2, h)
        >>> joined_tree = nx.join([(left, 0), (right, 0)])
        >>> nx.is_isomorphic(joined_tree, nx.balanced_tree(2, h + 1))
        True

    r      N_old)label_attributec                 s   s   | ]}t |V  qd S )N)len.0tree r   b/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/networkx/algorithms/tree/operations.py	<genexpr>H   s     zjoin.<locals>.<genexpr>c                    s    g | ]\}} ||d  dqS )r   )first_labelr   )r   r   r   Zrelabelr   r   
<listcomp>J   s   zjoin.<locals>.<listcomp>c                    s.   g | ]&\} t  fd d|jddD qS )c                 3   s$   | ]\}}| d  kr|V  qdS )r   N)get)r   vdrootr   r   r   Q   s      z"join.<locals>.<listcomp>.<genexpr>Tdata)nextnodesr
   r   r   r   r   P   s   c                 s   s   | ]}|j d dV  qdS Tr   N)r   r
   r   r   r   r   [   s     c                 s   s   | ]}|j d dV  qdS r   )edgesr
   r   r   r   r   \   s     c                 s   s   | ]}d |fV  qdS )r   Nr   )r   r   r   r   r   r   h   s     )r	   nxZempty_graphziptyper   Zconvert_node_labels_to_integersr   r   r   popZadd_nodes_fromfrom_iterableZadd_edges_fromgraphupdateadd_node)Zrooted_treesr   ZtreesrootsRlengthsZfirst_labelsr   r   r   r   r   r   r   r   
   s<    .
 

)N)
__doc__	functoolsr   	itertoolsr   r   Znetworkxr   __all__r   r   r   r   r   <module>   s
   