
    (phr                     h    S r SSKrSSKJrJr  SSKJr  SSKJ	r	  SSK
JrJr  SSKJr   " S S	5      rg)
zTests for _sketches.py.    N)assert_assert_equal)clarkson_woodruff_transform)
cwt_matrix)issparserand)normc                   >   \ rS rSrSr\R                  R                  S5      rSr	Sr
SrSr/ SQr\R                  \	\
45      r\" \	\
\S	\S
9r\" \	\
\S\S
9r\" \	\
\S\S
9r\\\\/r\R                  \	S45      \R(                  " \	5      -  rS rS rS rS rS rSrg)TestClarksonWoodruffTransform   z)
Testing the Clarkson Woodruff Transform
iGFi  d   皙?   )
iڦhiv7iSRir6xhi'@wiڷMiZiTzYi CiUf[csc)densityformatrandom_statecsrcoo   c                     U R                    HX  nU R                   HE  n[        XR                  US9n[	        UR
                  U R                  U R                  4:H  5        MG     MZ     g )N)seed)test_matricesseedsr   n_sketch_rowsr   shapen_cols)selfAr   sketchs       S/var/www/html/venv/lib/python3.13/site-packages/scipy/linalg/tests/test_sketches.pytest_sketch_dimensions4TestClarksonWoodruffTransform.test_sketch_dimensions1   sW    ##A

4)) ););T[[(IIJ # $    c                     U R                    Hh  n[        U R                  U R                  US9R	                  5       n[        U R                  U R                  US9R	                  5       n[        X#5        Mj     g Nrng)r   r   r   n_rowstoarrayr   )r   r   S1S2s       r!   ,test_seed_returns_identical_transform_matrixJTestClarksonWoodruffTransform.test_seed_returns_identical_transform_matrix:   sf    JJD""DKKTgi  ""DKKTgi    r$   c                 6   U R                    H  nU R                   Hv  n[        XR                  US9n[        XR                  US9n[	        U5      (       a  UR                  5       n[	        U5      (       a  UR                  5       n[        X45        Mx     M     g r&   )r   r   r   r   r   r*   r   )r   r   r   sketch1sketch2s        r!   test_seed_returns_identically;TestClarksonWoodruffTransform.test_seed_returns_identicallyD   s    ##A

5))t 6))t G$$%oo/GG$$%oo/GW. # $r$   c                    SnU R                    H  n[        U5      (       a  [        U5      nO[        R                  R                  U5      nU R
                   Hx  n[        X R                  US9n[        U5      (       a  [        U5      nO[        R                  R                  U5      n[        R                  " X6-
  5      SU-  :  d  Ms  US-  nMz     M     [        US:H  5        g )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_normBTestClarksonWoodruffTransform.test_sketch_preserves_frobenius_normS   s     ##A{{ G	IINN1-	

4))t F##"&v,K"$)).."8K66)12S9_DMH # $  	Ar$   c                    Sn[        [        R                  " S5      5      n[        R                  R	                  U R
                  5      nU R                   H\  n[        U R
                  X$S9n[        R                  R	                  U5      n[        R                  " X6-
  5      SU-  :  d  MW  US-  nM^     [        US:H  5        g )Nr   g      @r'   g      ?r   )
intr5   ceilr6   r	   xr   r   r7   r   )r   r8   r   r9   r   r    r:   s          r!   !test_sketch_preserves_vector_norm?TestClarksonWoodruffTransform.test_sketch_preserves_vector_normj   s    BGG$89:IINN466*	JJD0F ))..0Kvvi-.y@A  	Ar$    N)__name__
__module____qualname____firstlineno____doc__r5   randomdefault_rngr(   r)   r   r   r   r   A_denser   A_cscA_csrA_coor   sqrtr@   r"   r-   r2   r;   rA   __static_attributes__rC   r$   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$   r   )rH   numpyr5   numpy.testingr   r   scipy.linalgr   scipy.linalg._sketchesr   scipy.sparser   r   scipy.sparse.linalgr	   r   rC   r$   r!   <module>rW      s&      / 4 - ' $k kr$   