U
    »mœdü"  ã                   @   sâ   d dl m  mZ d dlZd dlmZmZm	Z	 d dl
mZ d dl mZ d dlmZmZmZmZ d dlZd dlmZ d dlZejdk Ze ¡ dd	„ ƒZejejejgd
�dd„ ƒZe ¡ dd„ ƒZe ¡ dd„ ƒZG dd„ dƒZdS )é    N)ÚhilbertÚsvdvalsÚnorm©Úaslinearoperator)Úinterp_decomp)Úassert_Úassert_allcloseÚassert_equalÚassert_array_equal)Úraisesl        c                   c   s
   dV  d S )Nçê-�™—q=© r   r   r   ú^/home/sam/Atlas/atlas_env/lib/python3.8/site-packages/scipy/linalg/tests/test_interpolative.pyÚeps+   s    r   )Úparamsc                 c   s   d}t |ƒ | j¡V  d S )Ni,  )r   ÚastypeÚparam)ÚrequestÚnr   r   r   ÚA0   s    r   c                 c   s   t | ƒV  d S )Nr   )r   r   r   r   ÚL8   s    r   c                 C   sN   t jj| dd�}zt  ||k ¡d d }W n tk
rH   | jd }Y nX |S )NF)Z
compute_uvr   )ÚnpÚlinalgÚsvdZnonzeroÚ
IndexErrorÚshape)r   r   ÚSÚrankr   r   r   r   =   s    r   c                   @   s  e Zd Zej ddddg¡dd„ ƒZej ddddg¡dd„ ƒZej ddg¡d	d
„ ƒZej ddddg¡dd„ ƒZ	ej ddddg¡dd„ ƒZ
dd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd„ Zdd „ Zej d!ejejg¡ej d"d#d$g¡ej d%d&d'g¡d(d)„ ƒƒƒZd*S )+ÚTestInterpolativeDecompositionzrand,lin_op)FF)TF)TTc                 C   sv   t r|jtjkr|rt d¡ |s&|n|}tj|||d�\}}}	t |d d …|d |… f ||	¡}
t	||
|dd� d S ©Núbug in external fortran code©Úrandç:Œ0âŽyE>©ZrtolZatol©
Ú	_IS_32BITÚdtyper   Úcomplex_ÚpytestÚxfailÚ
pymatrixidr   Zreconstruct_matrix_from_idr	   )Úselfr   r   r   r#   Úlin_opÚA_or_LÚkÚidxÚprojÚBr   r   r   Útest_real_id_fixed_precisionI   s    
"z;TestInterpolativeDecomposition.test_real_id_fixed_precisionc                 C   sx   t r|jtjkr|rt d¡ |}|s*|n|}tj|||d�\}	}
t |d d …|	d |… f |	|
¡}t	|||dd� d S r    r&   )r-   r   r   r   r   r#   r.   r0   r/   r1   r2   r3   r   r   r   Útest_real_id_fixed_rankV   s    
"z6TestInterpolativeDecomposition.test_real_id_fixed_rankc                 C   sz   |}|s|n|}t j|||d�\}	}
t  |	|
¡}t  |||	¡}t||d d …|	d |… f |dd� t|| ||dd� d S )Nr"   r$   r%   )r,   r   Úreconstruct_interp_matrixÚreconstruct_skel_matrixr	   )r-   r   r   r   r   r#   r.   r0   r/   r1   r2   ÚPr3   r   r   r   Ú%test_real_id_skel_and_interp_matricesc   s    $zDTestInterpolativeDecomposition.test_real_id_skel_and_interp_matricesc                 C   sf   t r|jtjkr|rt d¡ |s&|n|}tj|||d�\}}}	|| |	j 	¡  }
t
||
|dd� d S r    ©r'   r(   r   r)   r*   r+   r,   r   ÚTÚconjr	   )r-   r   r   r   r#   r.   r/   ÚUr   ÚVr3   r   r   r   Útest_svd_fixed_precisono   s    
z6TestInterpolativeDecomposition.test_svd_fixed_precisonc                 C   sj   t r|jtjkr|rt d¡ |}|s*|n|}tj|||d�\}	}
}|	|
 |j 	¡  }t
|||dd� d S r    r:   )r-   r   r   r   r   r#   r.   r0   r/   r=   r   r>   r3   r   r   r   Útest_svd_fixed_rank{   s    
z2TestInterpolativeDecomposition.test_svd_fixed_rankc                 C   sf   |}t j||dd�\}}t  |d d …|d |… f ||¡\}}}	|| |	j ¡  }
t||
|dd� d S )NFr"   r$   r%   )r,   r   Z	id_to_svdr;   r<   r	   )r-   r   r   r   r0   r1   r2   r=   r   r>   r3   r   r   r   Útest_id_to_svdˆ   s
    (z-TestInterpolativeDecomposition.test_id_to_svdc                 C   s*   t |ƒ}t |¡}t||d ddd� d S )Nr   ç�íµ ÷Æ°>r$   r%   )r   r,   Zestimate_spectral_normr	   )r-   r   ÚsÚ
norm_2_estr   r   r   Útest_estimate_spectral_norm�   s    
z:TestInterpolativeDecomposition.test_estimate_spectral_normc                 C   sP   |  ¡ }|d d …df  d9  < t|| ƒ}t ||¡}t||d ddd� d S )Nr   g333333ó?rB   r$   r%   )Úcopyr   r,   Zestimate_spectral_norm_diffr	   )r-   r   r3   rC   rD   r   r   r   Ú test_estimate_spectral_norm_diff•   s
    z?TestInterpolativeDecomposition.test_estimate_spectral_norm_diffc                 C   s~   t jdddgdddgdddgg|jd�}||fD ]H}d}t j |t|dƒ| ¡}t ||¡}t||kƒ t||d kƒ q0d S )Né   r   ©r(   ç•Ö&è.>é   é
   )	r   Úarrayr(   r   Úmatrix_rankr   r,   Úestimate_rankr   )r-   r   r3   ÚMÚrank_tolÚrank_npÚrank_estr   r   r   Útest_rank_estimates_arrayœ   s    (z8TestInterpolativeDecomposition.test_rank_estimates_arrayc                 C   sŠ   t jdddgdddgdddgg|jd�}||fD ]T}t|ƒ}d}t j |t|dƒ| ¡}t ||¡}t	||d kƒ t	||d kƒ q0d S )NrH   r   rI   rJ   rK   é   )
r   rM   r(   r   r   rN   r   r,   rO   r   )r-   r   r3   rP   ZMLrQ   rR   rS   r   r   r   Útest_rank_estimates_lin_op¦   s    (z9TestInterpolativeDecomposition.test_rank_estimates_lin_opc                 C   sª   t  d¡ tt  d¡ddgddd� t  d¡ t  d¡}t|d	d
gddd� tj d¡ t  ¡  t  d¡}tj d¡ t  tj d¡¡ t  d¡}t||ƒ t||ƒ d S )NÚdefaultrK   g#Š$•ì?gƒ<Páç£ä?g-Cëâ6?r$   r%   iÒ  gdb©äRè?gä2@å�±?é7   )r,   Úseedr	   r#   r   Úrandom)r-   Úx1Zx2Zx3r   r   r   Ú	test_rand±   s     
 ÿ




z(TestInterpolativeDecomposition.test_randc              	   C   s8   t dƒ tj¡}ttƒ� tj|ddd� W 5 Q R X d S )Né   rB   Fr"   )r   r   r   Zfloat32Úassert_raisesÚ
ValueErrorr,   r   )r-   r   r   r   r   Útest_badcallÅ   s    
z+TestInterpolativeDecomposition.test_badcallc              	   C   s.   t  d¡}ttƒ� t |d¡ W 5 Q R X d S )N)rU   é   rU   )r   Zonesr^   r_   r,   r   )r-   Úar   r   r   Útest_rank_too_largeÊ   s    

z2TestInterpolativeDecomposition.test_rank_too_largec                 C   s˜   d}t j dd¡}t ||¡\}}}t||jd ƒ t ||¡}t |||¡}t	||| ƒ t ||¡\}}t ||¡}t |||¡}t	||| ƒ d S )Nr   é   é   rH   )
r   rZ   r#   r,   r   r
   r   r6   r7   r	   )r-   r   r   r0   r1   r2   r8   r3   r   r   r   Útest_full_rankÐ   s    z-TestInterpolativeDecomposition.test_full_rankr(   r#   TFr   rH   gš™™™™™¹?c                 C   s˜   t r|tjkr|rt d¡ tjddddddgddddddgddddddgddddddgddddddgg|dd�}| ¡ }t|j||d� t	||ƒ d S )Nr!   éÿÿÿÿr   rH   ÚC)r(   Úorderr"   )
r'   r   r)   r*   r+   rM   rF   r   r;   r   )r-   r(   r#   r   r   r3   r   r   r   Útest_bug_9793ã   s    
ü ûz,TestInterpolativeDecomposition.test_bug_9793N)Ú__name__Ú
__module__Ú__qualname__r*   ÚmarkZparametrizer4   r5   r9   r?   r@   rA   rE   rG   rT   rV   r\   r`   rc   rf   r   Zfloat_r)   rj   r   r   r   r   r   G   sF   þ

þ


þ
	þ


r   ) Zscipy.linalg.interpolativer   Zinterpolativer,   Únumpyr   Zscipy.linalgr   r   r   Zscipy.sparse.linalgr   r   Znumpy.testingr   r	   r
   r   r*   r   r^   ÚsysÚmaxsizer'   Zfixturer   Zfloat64Z
complex128r   r   r   r   r   r   r   r   Ú<module>   s$   




	