
    ^Mhr                     p    d Z ddlZddlmZmZ ddlmZ ddlm	Z	 ddl
mZmZ ddlmZ  G d d	          ZdS )
zTests for _sketches.py.    N)assert_assert_equal)clarkson_woodruff_transform)
cwt_matrix)issparserand)normc                   f   e Zd ZdZej                            d          ZdZdZ	dZ
dZg dZe                    ee	f          Z eee	e
de	          Z eee	e
d
e	          Z eee	e
de	          ZeeeegZe                    edf           ej        e          z  Zd Zd Zd Zd Zd ZdS )TestClarksonWoodruffTransformz1
    Testing the Clarkson Woodruff Transform
    iGFi  d   皙?   )
iڦhiv7iSRir6xhi'@wiڷMiZiTzYi CiUf[csc)densityformatrandom_statecsrcoo   c                     | j         D ]G}| j        D ]=}t          || j        |          }t	          |j        | j        | j        fk               >Hd S )N)seed)test_matricesseedsr   n_sketch_rowsr   shapen_cols)selfAr   sketchs       `/var/www/html/test/jupyter/venv/lib/python3.11/site-packages/scipy/linalg/tests/test_sketches.pytest_sketch_dimensionsz4TestClarksonWoodruffTransform.test_sketch_dimensions1   s}    # 	K 	KA
 K K4t)   );T[(IIJJJJK	K 	K    c                     | j         D ]n}t          | j        | j        |                                          }t          | j        | j        |                                          }t          ||           od S Nrng)r   r   r   n_rowstoarrayr   )r   r   S1S2s       r    ,test_seed_returns_identical_transform_matrixzJTestClarksonWoodruffTransform.test_seed_returns_identical_transform_matrix:   s    J 	! 	!D"DKT  gii  "DKT  gii  R    	! 	!r"   c                 6   | j         D ]}| j        D ]}t          || j        |          }t          || j        |          }t	          |          r|                                }t	          |          r|                                }t          ||           d S r$   )r   r   r   r   r   r(   r   )r   r   r   sketch1sketch2s        r    test_seed_returns_identicallyz;TestClarksonWoodruffTransform.test_seed_returns_identicallyD   s    # 	/ 	/A
 / /5t)t   6t)t   G$$ 0%oo//GG$$ 0%oo//GWg..../	/ 	/r"   c                    d}| j         D ]}t          |          rt          |          }nt          j                            |          }| j        D ]z}t          || j        |          }t          |          rt          |          }nt          j                            |          }t          j        ||z
            d|z  k    r|dz  }{t          |dk               d S )Nr   r%   r   r   )
r   r   r	   nplinalgr   r   r   absr   )r   n_errorsr   	true_normr   r   sketch_norms          r    $test_sketch_preserves_frobenius_normzBTestClarksonWoodruffTransform.test_sketch_preserves_frobenius_normS   s     # 	" 	"A{{ . GG		INN1--	
 
" 
"4t)t   F## 9"&v,,KK"$).."8"8K6)k122S9_DDMH
" 	Ar"   c                    d}t          t          j        d                    }t          j                            | j                  }| j        D ][}t          | j        ||          }t          j                            |          }t          j        ||z
            d|z  k    r|dz  }\t          |dk               d S )Nr   g      @r%   g      ?r   )
intr1   ceilr2   r	   xr   r   r3   r   )r   r4   r   r5   r   r   r6   s          r    !test_sketch_preserves_vector_normz?TestClarksonWoodruffTransform.test_sketch_preserves_vector_normj   s    BG$899::INN46**	J 	 	D04  F )..00Kvi+-..y@@AAr"   N)__name__
__module____qualname____doc__r1   randomdefault_rngr&   r'   r   r   r   r   A_denser   A_cscA_csrA_coor   sqrtr;   r!   r+   r/   r7   r<    r"   r    r   r      sf         )



+
+C FFG MI I IE jj&&)**GDC  E DC  E DC  E 	uM
 	

FA;'"'&//1AK K K! ! !/ / /  .    r"   r   )r@   numpyr1   numpy.testingr   r   scipy.linalgr   scipy.linalg._sketchesr   scipy.sparser   r   scipy.sparse.linalgr	   r   rH   r"   r    <module>rO      s          / / / / / / / / 4 4 4 4 4 4 - - - - - - ' ' ' ' ' ' ' ' $ $ $ $ $ $k k k k k k k k k kr"   