
    tKgx                     h    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y)
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
                  j                  d      ZdZdZ	dZ
dZg dZej                  ee	      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j                  ed       ej(                  e      z  Zd Zd Zd Zd Zd Zy)TestClarksonWoodruffTransformz1
    Testing the Clarkson Woodruff Transform
    iGFseedi  d   皙?   )
iڦhiv7iSRir6xhi'@wiڷMiZiTzYi CiUf[csc)densityformatrandom_statecsrcoo   c                     | j                   D ]Y  }| j                  D ]H  }t        || j                  |      }t	        |j
                  | j                  | j                  fk(         J [ y Nr   )test_matricesseedsr   n_sketch_rowsr   shapen_cols)selfAr   sketchs       d/home/alanp/www/video.onchill/myenv/lib/python3.12/site-packages/scipy/linalg/tests/test_sketches.pytest_sketch_dimensionsz4TestClarksonWoodruffTransform.test_sketch_dimensions1   sY    ##A

4t)) ););T[[(IIJ	 # $    c                     | j                   D ]  }| j                  D ]n  }t        | j                  | j                  |      j                         }t        | j                  | j                  |      j                         }t        ||       p  y r   )r   r   r   r   n_rowstoarrayr   )r   r    r   S1S2s        r"   ,test_seed_returns_identical_transform_matrixzJTestClarksonWoodruffTransform.test_seed_returns_identical_transform_matrix9   sx    ##A

&&$')   &&$')  R$ # $r$   c                 ,   | j                   D ]  }| j                  D ]t  }t        || j                  |      }t        || j                  |      }t	        |      r|j                         }t	        |      r|j                         }t        ||       v  y 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)) 6t)) G$%oo/GG$%oo/GWg. # $r$   c                    d}| j                   D ]  }t        |      rt        |      }nt        j                  j                  |      }| j
                  D ]t  }t        || j                  |      }t        |      rt        |      }nt        j                  j                  |      }t        j                  ||z
        d|z  kD  sp|dz  }v  t        |dk(         y )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{ G	IINN1-	

4t)) F#"&v,K"$)).."8K66)k12S9_DMH # $  	Ar$   c                    d}t        t        j                  d            }t        j                  j	                  | j
                        }| j                  D ]]  }t        | j
                  ||      }t        j                  j	                  |      }t        j                  ||z
        d|z  kD  sY|dz  }_ t        |dk(         y )Nr   g      @r   g      ?r   )
intr0   ceilr1   r	   xr   r   r2   r   )r   r3   r   r4   r   r!   r5   s          r"   !test_sketch_preserves_vector_normz?TestClarksonWoodruffTransform.test_sketch_preserves_vector_normj   s    BGG$89:IINN466*	JJD0DF ))..0Kvvi+-.y@A  	Ar$   N)__name__
__module____qualname____doc__r0   randomRandomStaterngr&   r   r   r   r   randnA_denser   A_cscA_csrA_coor   sqrtr:   r#   r*   r.   r6   r;    r$   r"   r   r      s     ))

Z

0C FFG MIE ii'GCE CE CE 	uM
 			&!wrwwv.AK	%/.r$   r   )r?   numpyr0   numpy.testingr   r   scipy.linalgr   scipy.linalg._sketchesr   scipy.sparser   r   scipy.sparse.linalgr	   r   rI   r$   r"   <module>rP      s&      / 4 - ' $k kr$   