
    |h!                     8    d dl Zd dlZd dlmZ ddlmZ d Zd Z	y)    N)sparse   )_ncut_cyc                     t        j                  | d      }|j                  d      }t        j                  |df|j
                        j                         }||fS )a  Returns the diagonal and weight matrices of a graph.

    Parameters
    ----------
    graph : RAG
        A Region Adjacency Graph.

    Returns
    -------
    D : csc_array
        The diagonal matrix of the graph. ``D[i, i]`` is the sum of weights of
        all edges incident on `i`. All other entries are `0`.
    W : csc_array
        The weight matrix of the graph. ``W[i, j]`` is the weight of the edge
        joining `i` to `j`.
    csc)formatr   )axis)shape)nxto_scipy_sparse_arraysumr   	dia_arrayr
   tocsc)graphWentriesDs       R/var/www/html/test/engine/venv/lib/python3.12/site-packages/skimage/graph/_ncut.pyDW_matricesr      sQ    $ 	  u5AeeemG'1QWW5;;=Aa4K    c                 B   t        j                  |       } t        j                  | |j                  |j
                  |j                  |j                  d         }|j                  |    j                         }|j                  |     j                         }||z  ||z  z   S )a|  Returns the N-cut cost of a bi-partition of a graph.

    Parameters
    ----------
    cut : ndarray
        The mask for the nodes in the graph. Nodes corresponding to a `True`
        value are in one set.
    D : csc_array
        The diagonal matrix of the graph.
    W : csc_array
        The weight matrix of the graph.

    Returns
    -------
    cost : float
        The cost of performing the N-cut.

    References
    ----------
    .. [1] Normalized Cuts and Image Segmentation, Jianbo Shi and
           Jitendra Malik, IEEE Transactions on Pattern Analysis and Machine
           Intelligence, Page 889, Equation 2.
    r   )num_cols)	nparrayr   cut_costdataindicesindptrr
   r   )cutr   r   r   assoc_aassoc_bs         r   	ncut_costr"       s    0 ((3-C  affaiiAGGTUJWH ffSkooGffcTl Gw8g#566r   )
networkxr   numpyr   scipyr    r   r   r"    r   r   <module>r(      s       2 7r   