+
    /i                     j    R t ^ RIt^ RIHtHt ^ RIHt ^ RIH	t	 ^ RI
HtHt ^ RIHt  ! R R4      tR# )	zTests for _sketches.py.N)assert_assert_equal)clarkson_woodruff_transform)
cwt_matrix)issparserand)normc                   f  a  ] tR t^t o Rt]P                  P                  R4      tRt	^dt
Rt^t. ROt]P                  ]	]
34      t]! ]	]
]R]R7      t]! ]	]
]R]R7      t]! ]	]
]R]R7      t]]]].t]P                  ]	^34      ]P(                  ! ]	4      ,          tAR	 tR
 tR tR tR tRtV tR# )TestClarksonWoodruffTransformz)
Testing the Clarkson Woodruff Transform
iGFi  皙?csc)densityformatrandom_statecsrcooc                    V P                    F[  pV P                   FH  p\        WP                  VR 7      p\	        VP
                  V P                  V P                  38H  4       KJ  	  K]  	  R# ))seedN)test_matricesseedsr   n_sketch_rowsr   shapen_cols)selfAr   sketchs   &   ^/var/www/html/photoedit/myenv/lib/python3.14/site-packages/scipy/linalg/tests/test_sketches.pytest_sketch_dimensions4TestClarksonWoodruffTransform.test_sketch_dimensions2   sW    ##A

4)) ););T[[(IIJ # $    c                   V P                    Fn  p\        V P                  V P                  VR 7      P	                  4       p\        V P                  V P                  VR 7      P	                  4       p\        W#4       Kp  	  R# rngN)r   r   r   n_rowstoarrayr   )r   r   S1S2s   &   r   ,test_seed_returns_identical_transform_matrixJTestClarksonWoodruffTransform.test_seed_returns_identical_transform_matrix;   sf    JJD""DKKTgi  ""DKKTgi    r   c                H   V P                    F  pV P                   F~  p\        WP                  VR 7      p\        WP                  VR 7      p\	        V4      '       d   VP                  4       p\	        V4      '       d   VP                  4       p\        W44       K  	  K  	  R# r!   )r   r   r   r   r   r%   r   )r   r   r   sketch1sketch2s   &    r   test_seed_returns_identically;TestClarksonWoodruffTransform.test_seed_returns_identicallyE   s    ##A

5))t 6))t G$$%oo/GG$$%oo/GW. # $r   c                   ^ pV P                    F  p\        V4      '       d   \        V4      pM\        P                  P                  V4      pV P
                   F  p\        W P                  VR7      p\        V4      '       d   \        V4      pM\        P                  P                  V4      p\        P                  ! W6,
          4      RV,          8  g   K  V^,          pK  	  K  	  \        V^ 8H  4       R# )    r"   r   N)
r   r   r   nplinalgr   r   r   absr   )r   n_errorsr   	true_normr   r   sketch_norms   &      r   $test_sketch_preserves_frobenius_normBTestClarksonWoodruffTransform.test_sketch_preserves_frobenius_normT   s     ##A{{ G	IINN1-	

4))t F##"&v,K"$)).."8K66)12S9_DMH # $  	Ar   c                   ^ p\        \        P                  ! R4      4      p\        P                  P	                  V P
                  4      pV P                   Fl  p\        V P
                  W$R7      p\        P                  P	                  V4      p\        P                  ! W6,
          4      RV,          8  g   Kc  V^,          pKn  	  \        V^ 8H  4       R# )r0   g      ?r"   Ng      @)
intr1   ceilr2   r   xr   r   r3   r   )r   r4   r   r5   r   r   r6   s   &      r   !test_sketch_preserves_vector_norm?TestClarksonWoodruffTransform.test_sketch_preserves_vector_normk   s    BGG$89:IINN466*	JJD0F ))..0Kvvi-.y@A  	Ar    N)
iڦhiv7iSRir6xhi'@wiڷMiZiTzYi CiUf[)__name__
__module____qualname____firstlineno____doc__r1   randomdefault_rngr#   r$   r   r   r   r   A_denser   A_cscA_csrA_coor   sqrtr<   r   r(   r-   r7   r=   __static_attributes____classdictcell__)__classdict__s   @r   r
   r
      s      ))



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

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