Ë
    âQ(hr  ã                   óh   — 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.é    N)Úassert_Úassert_equal)Úclarkson_woodruff_transform)Ú
cwt_matrix)ÚissparseÚrand)Únormc                   óH  — 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	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j                  edf«       ej&                  e«      z  Zd„ Zd„ Zd„ Zd„ Zd„ Zy)ÚTestClarksonWoodruffTransformz1
    Testing the Clarkson Woodruff Transform
    iý°GFiÐ  éd   çš™™™™™¹?éÈ   )
iÚ¦¢hi¾v±7ižSòRir6xhi'@½wiÚ·¡Mi…ã©ZiÀTzYi¹ñ CiUÔf[Úcsc)ÚdensityÚformatÚrandom_stateÚcsrÚcooé   c                 óÔ   — | j                   D ]Y  }| j                  D ]H  }t        || j                  |¬«      }t	        |j
                  | j                  | j                  fk(  «       ŒJ Œ[ y )N)Úseed)Útest_matricesÚseedsr   Ún_sketch_rowsr   ÚshapeÚn_cols)ÚselfÚAr   Úsketchs       ú^/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/scipy/linalg/tests/test_sketches.pyÚtest_sketch_dimensionsz4TestClarksonWoodruffTransform.test_sketch_dimensions1   sg   € Ø×#Ñ#ò 	KˆAØŸ
™
ò K�ä4Ø�t×)Ñ)°ô�ô ˜Ÿ™¨×);Ñ);¸T¿[¹[Ð(IÑIÕJñKñ	Kó    c                 óþ   — | j                   D ]n  }t        | j                  | j                  |¬«      j	                  «       }t        | j                  | j                  |¬«      j	                  «       }t        ||«       Œp y ©N©Úrng)r   r   r   Ún_rowsÚtoarrayr   )r   r   ÚS1ÚS2s       r    Ú,test_seed_returns_identical_transform_matrixzJTestClarksonWoodruffTransform.test_seed_returns_identical_transform_matrix:   sm   € Ø—J‘Jò 	!ˆDÜØ×"Ñ" D§K¡K°Tôç‰g‹ið ô Ø×"Ñ" D§K¡K°Tôç‰g‹ið ô ˜˜RÕ ñ	!r"   c                 ó,  — | j                   D ]…  }| j                  D ]t  }t        || j                  |¬«      }t        || j                  |¬«      }t	        |«      r|j                  «       }t	        |«      r|j                  «       }t        ||«       Œv Œ‡ y r$   )r   r   r   r   r   r(   r   )r   r   r   Úsketch1Úsketch2s        r    Útest_seed_returns_identicallyz;TestClarksonWoodruffTransform.test_seed_returns_identicallyD   sŽ   € Ø×#Ñ#ò 	/ˆAØŸ
™
ò /�Ü5Ø�t×)Ñ)¨tô�ô 6Ø�t×)Ñ)¨tô�ô ˜GÔ$Ø%Ÿo™oÓ/�GÜ˜GÔ$Ø%Ÿo™oÓ/�GÜ˜W gÕ.ñ/ñ	/r"   c                 ó¸  — d}| j                   D ]»  }t        |«      rt        |«      }nt        j                  j                  |«      }| j
                  D ]t  }t        || j                  |¬«      }t        |«      rt        |«      }nt        j                  j                  |«      }t        j                  ||z
  «      d|z  kD  sŒp|dz  }Œv Œ½ t        |dk(  «       y )Nr   r%   r   r   )
r   r   r	   ÚnpÚlinalgr   r   r   Úabsr   )r   Ún_errorsr   Ú	true_normr   r   Úsketch_norms          r    Ú$test_sketch_preserves_frobenius_normzBTestClarksonWoodruffTransform.test_sketch_preserves_frobenius_normS   sÀ   € ð ˆØ×#Ñ#ò 	"ˆAÜ˜Œ{Ü  ›G‘	äŸI™IŸN™N¨1Ó-�	ØŸ
™
ò 
"�Ü4Ø�t×)Ñ)¨tô�ô ˜FÔ#Ü"& v£,‘Kä"$§)¡)§.¡.°Ó"8�Kä—6‘6˜) kÑ1Ó2°S¸9±_ÓDØ ‘M‘Hñ
"ð	"ô  	�˜A‘Õr"   c                 óŠ  — d}t        t        j                  d«      «      }t        j                  j	                  | j
                  «      }| j                  D ]]  }t        | j
                  ||¬«      }t        j                  j	                  |«      }t        j                  ||z
  «      d|z  kD  sŒY|dz  }Œ_ t        |dk(  «       y )Nr   g      ‰@r%   g      à?r   )
Úintr1   Úceilr2   r	   Úxr   r   r3   r   )r   r4   r   r5   r   r   r6   s          r    Ú!test_sketch_preserves_vector_normz?TestClarksonWoodruffTransform.test_sketch_preserves_vector_normj   sž   € ØˆÜœBŸG™GÐ$8Ó9Ó:ˆÜ—I‘I—N‘N 4§6¡6Ó*ˆ	Ø—J‘Jò 	ˆDÜ0Ø—‘˜¨4ôˆFô Ÿ)™)Ÿ.™.¨Ó0ˆKä�v‰v�i +Ñ-Ó.°°y±Ó@Ø˜A‘‘ð	ô 	�˜A‘Õr"   N)Ú__name__Ú
__module__Ú__qualname__Ú__doc__r1   ÚrandomÚdefault_rngr&   r'   r   r   r   r   ÚA_denser   ÚA_cscÚA_csrÚA_coor   Úsqrtr;   r!   r+   r/   r7   r<   © r"   r    r   r      sä   „ ñð �)‰)×
Ñ
 
Ó
+€Cð €FØ€FØ€Gð €MòI€Eð �j‰j˜& &Ð)Ó*€GÙØ� °ÀCô€Eñ Ø� °ÀCô€Eñ Ø� °ÀCô€Eð 	�˜˜uð€Mð
 	�
‰
�F˜A�;Ó ' "§'¡'¨&£/Ñ1€AòKò!ò/òó.r"   r   )r@   Únumpyr1   Únumpy.testingr   r   Úscipy.linalgr   Úscipy.linalg._sketchesr   Úscipy.sparser   r   Úscipy.sparse.linalgr	   r   rH   r"   r    ú<module>rO      s&   ðÙ ã ß /Ý 4Ý -ß 'Ý $÷kò kr"   