ó
Ê½÷Xc           @` sÏ   d  d l  m Z m Z m Z d  d l Z d  d l m Z m Z m	 Z	 m
 Z
 d  d l m Z d  d l m Z e d „ Z d „  Z d „  Z d	 „  Z d
 „  Z d „  Z d „  Z d „  Z e d k rË e ƒ  n  d S(   i    (   t   divisiont   print_functiont   absolute_importN(   t   run_module_suitet   assert_allcloset   assert_array_almost_equalt   assert_raises(   t   sparse(   t   csgraphc         C` s  t  j |  ƒ r |  j ƒ  }  n  t j |  ƒ }  d |  } x_ t | j d ƒ D]J } |  | | d d  … f j ƒ  |  | d  | … f j ƒ  | | | f <qK W| rt j | ƒ j	 ƒ  } d | | d k <| | d  d  … d  f d } | | d  d  d  … f d } n  | S(   Ng      ð¿i    i   g      ð?g      à?(   R   t   issparset   todenset   npt   asarrayt   ranget   shapet   sumt   diagt   copyt   None(   t   xt   normedt   yt   jt   d(    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   _explicit_laplacian   s    
H!c         C` sÿ   t  |  d ƒ s0 t |  t d t d t ƒ ƒ }  n  t j |  ƒ rT |  } | j ƒ  }  n t j |  ƒ } t j	 |  d | ƒ} |  j
 d } | s° t | j d d ƒ t j | ƒ ƒ n  t | j | ƒ t | t j	 | d | ƒj ƒ  ƒ t | t |  d | ƒƒ d  S(   NR   R   R   R   i    t   axis(   t   hasattrt   evalt   dictR   R   R	   R
   t
   csr_matrixR   t	   laplacianR   R   R   t   zerost   TR   (   t   matR   t   sp_matR   t   n_nodes(    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt    _check_symmetric_graph_laplacian   s    !%c          C` s¥   xž t  t t f D] }  x„ d d g d g g g d d d g d d d g g d d g d d g d d g g f D]. } t j | d |  ƒ} t t t j | ƒ qk Wq Wd  S(   Ni   i   i   i   i   i   t   dtype(	   t   intt   floatt   complexR   t   arrayR   t
   ValueErrorR   R   (   t   tt   mt   A(    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   test_laplacian_value_error3   s    (c          c` s@   d }  x3 |  D]+ } x" t  t f D] } t | | f Vq  Wq Wd  S(	   Ns,   np.arange(10) * np.arange(10)[:, np.newaxis]s   np.ones((7, 7))s
   np.eye(19)s*   sparse.diags([1, 1], [-1, 1], shape=(4,4))s4   sparse.diags([1, 1], [-1, 1], shape=(4,4)).todense()s@   np.asarray(sparse.diags([1, 1], [-1, 1], shape=(4,4)).todense())s3   np.vander(np.arange(4)) + np.vander(np.arange(4)).T(   s,   np.arange(10) * np.arange(10)[:, np.newaxis]s   np.ones((7, 7))s
   np.eye(19)s*   sparse.diags([1, 1], [-1, 1], shape=(4,4))s4   sparse.diags([1, 1], [-1, 1], shape=(4,4)).todense()s@   np.asarray(sparse.diags([1, 1], [-1, 1], shape=(4,4)).todense())s3   np.vander(np.arange(4)) + np.vander(np.arange(4)).T(   t   Truet   FalseR$   (   t   symmetric_matst   mat_strR   (    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   test_symmetric_graph_laplacian=   s          c         K` sP   t  j |  ƒ r |  j ƒ  }  n  t  j | ƒ r< |  j ƒ  } n  t |  | |  d  S(   N(   R   R	   t   toarrayR   (   t   at   bt   kwargs(    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   _assert_allclose_sparseJ   s
    c   
   
   C` sÔ   xÍ t  j t j t j f D]³ } xª t t t f D]™ } | |  d | ƒ} t j	 | d | d t
 d | ƒ} t | | d d ƒt j	 | d | d t d | ƒ\ } }	 t | | d d ƒt |	 | d d ƒq/ Wq Wd  S(   NR%   R   t   return_diagt   use_out_degreet   atolgê-™—q=(   R   R)   R   R   t
   coo_matrixR&   R'   R(   R   R   R0   R8   R/   (
   R-   t	   desired_Lt	   desired_dR   R:   t   arr_typeR+   t   adjt   LR   (    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   _check_laplacianS   s    	c          C` s‚  d d d g d d d g d d d g g }  d d d g d d d g d d d g g } d d d g } t  |  | | d t d t ƒd d	 d g d
 d d g d d d g g } d d d g } t  |  | | d t d t ƒd d d g d d d g d d d g g } d d d g } t  |  | | d t d t ƒd d	 d g d
 d d g d d d g g } d d d g } t  |  | | d t d t ƒd  S(   Ni    i   i   i   iÿÿÿÿiüÿÿÿR   R:   g      à¿iþÿÿÿ(   RB   R0   R/   (   R-   RA   R   (    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   test_asymmetric_laplacian`   s.    c          c` sd   x] d D]U }  t  j d d g d	 d g d
 d d |  ƒ} x" t t f D] } t | | f VqD Wq Wd  S(   Nt   csrt   csct   coot   lilt   dokt   diat   bsri   iÿÿÿÿR   i   t   format(   RD   RE   RF   RG   RH   RI   RJ   (   i   i   (   R   t   diagsR/   R0   R$   (   t   fmtR!   R   (    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   test_sparse_formatsƒ   s    *t   __main__(   t
   __future__R    R   R   t   numpyR   t   numpy.testingR   R   R   R   t   scipyR   t   scipy.sparseR   R0   R   R$   R.   R3   R8   RB   RC   RN   t   __name__(    (    (    sN   /tmp/pip-build-7oUkmx/scipy/scipy/sparse/csgraph/tests/test_graph_laplacian.pyt   <module>   s   "		
					#	