U
    »mœdx  ã                   @   sb   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	„ d	ƒZdS )
zTests for _sketches.py.é    N)Úassert_Úassert_equal)Úclarkson_woodruff_transform)Ú
cwt_matrix)ÚissparseÚrand)Únormc                
   @   sÒ   e Zd ZdZejjdd�ZdZdZ	dZ
dZdd	d
dddddddg
Ze ee	¡Zeee	e
ded�Zeee	e
ded�Zeee	e
ded�ZeeeegZe ed¡e e¡ Zdd„ Zdd„ Zdd„ Zdd„ Zdd „ Zd!S )"ÚTestClarksonWoodruffTransformz1
    Testing the Clarkson Woodruff Transform
    iý°GF©ÚseediÐ  éd   çš™™™™™¹?éÈ   iÚ¦¢hi¾v±7ižSòRir6xhi'@½wiÚ·¡Mi…ã©ZiÀTzYi¹ñ CiUÔf[Zcsc)ÚdensityÚformatZrandom_stateZcsrZcooé   c                 C   sB   | j D ]6}| jD ]*}t|| j|d�}t|j| j| jfkƒ qqd S ©Nr
   )Útest_matricesÚseedsr   Ún_sketch_rowsr   ÚshapeÚn_cols)ÚselfÚAr   Úsketch© r   úY/home/sam/Atlas/atlas_env/lib/python3.8/site-packages/scipy/linalg/tests/test_sketches.pyÚtest_sketch_dimensions1   s    

  ÿz4TestClarksonWoodruffTransform.test_sketch_dimensionsc                 C   sR   | j D ]F}| jD ]:}t| j| j|d� ¡ }t| j| j|d� ¡ }t||ƒ qqd S r   )r   r   r   r   Ún_rowsÚtoarrayr   )r   r   r   ZS1ZS2r   r   r   Ú,test_seed_returns_identical_transform_matrix9   s    

  ÿ
  ÿ
zJTestClarksonWoodruffTransform.test_seed_returns_identical_transform_matrixc                 C   sf   | j D ]Z}| jD ]N}t|| j|d�}t|| j|d�}t|ƒrD| ¡ }t|ƒrT| ¡ }t||ƒ qqd S r   )r   r   r   r   r   r   r   )r   r   r   Zsketch1Zsketch2r   r   r   Útest_seed_returns_identicallyD   s"    

  ÿ  ÿz;TestClarksonWoodruffTransform.test_seed_returns_identicallyc                 C   s–   d}| j D ]z}t|ƒr t|ƒ}ntj |¡}| jD ]P}t|| j|d�}t|ƒrXt|ƒ}ntj |¡}t || ¡d| kr2|d7 }q2q
t	|dkƒ d S )Nr   r
   r   r   )
r   r   r   ÚnpÚlinalgr   r   r   Úabsr   )r   Ún_errorsr   Ú	true_normr   r   Úsketch_normr   r   r   Ú$test_sketch_preserves_frobenius_normS   s"    


  ÿ
zBTestClarksonWoodruffTransform.test_sketch_preserves_frobenius_normc                 C   sv   d}t t d¡ƒ}tj | j¡}| jD ]>}t| j||d�}tj |¡}t || ¡d| kr&|d7 }q&t	|dkƒ d S )Nr   g      ‰@r
   g      à?r   )
Úintr"   Úceilr#   r   Úxr   r   r$   r   )r   r%   r   r&   r   r   r'   r   r   r   Ú!test_sketch_preserves_vector_normj   s    
  ÿ
z?TestClarksonWoodruffTransform.test_sketch_preserves_vector_normN)Ú__name__Ú
__module__Ú__qualname__Ú__doc__r"   ÚrandomZRandomStateÚrngr   r   r   r   r   ZrandnZA_denser   ZA_cscZA_csrZA_coor   Úsqrtr+   r   r    r!   r(   r,   r   r   r   r   r	      s\   
    ÿ    ÿ    ÿ    ÿ   ÿr	   )r0   Únumpyr"   Znumpy.testingr   r   Zscipy.linalgr   Zscipy.linalg._sketchesr   Zscipy.sparser   r   Zscipy.sparse.linalgr   r	   r   r   r   r   Ú<module>   s   