U
    »mœdŒ  ã                   @   sæ  d dl Z d dlZd dlZd dlZd dlmZ d dlmZ d dl	m
Z
 d dlmZmZ ejdejdejdejdiZdd	„ Zd
d„ Zdd„ Zg Ze ¡ D ]fZg Zeeƒrâeƒ r¶ejjgZn,eƒ rØe e¡jdkrØejjgZn
ejjgZe ej eeej!d�¡ q”e"eƒZe#d fdd„Z$dd„ Z%d*dd„Z&ej 'dej(eef¡ej 'de¡ej 'dd¡ej 'dd¡dd„ ƒƒƒƒZ)ej 'de¡ej 'dd¡ej *d ¡d!d"„ ƒƒƒZ+ej 'd#d$¡ej 'dedd%… ¡d&d'„ ƒƒZ,ejjej -¡ d(d)„ ƒƒZ.dS )+é    N)Úassert_allclose)Úraises)Ú_svdp)Ú
csr_matrixÚ
csc_matrixg-Cëâ6?g:Œ0âŽyE>c                 C   s   t  | ¡jdkS )NÚc)ÚnpÚdtypeÚkind)r	   © r   ú_/home/sam/Atlas/atlas_env/lib/python3.8/site-packages/scipy/sparse/linalg/tests/test_propack.pyÚis_complex_type   s    r   c                   C   s
   t jdkS )Nl        )ÚsysÚmaxsizer   r   r   r   Úis_32bit   s    r   c                   C   s
   dt jkS )NÚwin32)r   Úplatformr   r   r   r   Ú
is_windows   s    r   é   )ÚmarksÚidc           	      K   s€   t j |¡}t|ƒrDdd| ||¡  d d| ||¡   |¡}ndd| ||¡   |¡}d||jd| d k< | |f|ŽS )zGenerate a random sparse matrixéûÿÿÿé
   y              @y              $@r   é   )r   ÚrandomZRandomStater   ZrandÚastypeÚreal)	ÚconstructorÚnÚmÚfr	   ZrseedÚkwargsÚrngÚMr   r   r   Úgenerate_matrix2   s    ÿÿÿr$   c                 C   s>   t t |  ¡ j|¡ƒ}t|t | jd |jd ¡||d� dS )z7Check that the first k rows of u1 and u2 are orthogonalé   ©ÚrtolÚatolN)Úabsr   ÚdotÚconjÚTr   ÚeyeÚshape)Úu1Úu2r'   r(   ÚAr   r   r   Úassert_orthogonal?   s    r2   çš™™™™™é?c                 C   sÆ   t | }ttj| |||ƒ}	||	ƒ}
tjj|	dd�\}}}t|
||||d�\}}}}| ¡ dkr†t ||d¡}t ||d¡}t ||¡}t	|d |… |||d� t
||||d� t
|j|j||d� d S )NF)Zfull_matrices)ÚkÚwhichÚirl_modeÚtolÚSMr%   r   r&   )ÚTOLSr$   r   ZasarrayÚlinalgÚsvdr   ÚupperZrollr   r2   r,   )r   r   r   r	   r4   r6   r5   r    r7   r#   ZMspr/   Zsigma1Úvt1r0   Zsigma2Úvt2Ú_r   r   r   Ú
check_svdpE   s    
ÿr@   Úctorr	   Úirl)TFr5   )ZLMr8   c              	   C   s¬   t j d¡ d\}}}|dkrT|sTd}tt|d�� t||| ||||ƒ W 5 Q R X nTtƒ r”t|ƒr”d}tt|d�� t||| ||||ƒ W 5 Q R X nt||| ||||ƒ d S )Nr   )r   é   é   r8   z#`which`='SM' requires irl_mode=True)Úmatchz1PROPACK complex-valued SVD methods not available )	r   r   ÚseedÚassert_raisesÚ
ValueErrorr@   r   r   Ú	TypeError)rA   r	   rB   r5   r   r   r4   Úmessager   r   r   Ú	test_svdp]   s    
  rK   )FTéx   c                 C   s®  t jdt jdt jdt jdi|  }tj t¡}d}tj 	||¡}t j
|dd�}t| ƒrh|d  ¡  | ¡}n|d  ¡  | ¡}d	}t|||d
d�\}	}
}}t| ƒr¢dn|}|	d d …d |…f }	|d |…d d …f }|
d |… }
tt  |	jd ¡|	 ¡ j|	 |d� tt  |jd
 ¡|| ¡ j |d� t j | ¡ ¡\}}}|d d …d |…f }|d |… }|d |…d d …f }|t  |¡ | }|	t  |
¡ | }tt j || ¡d
|d� d S )NgCÅ8
!?g•Ö&è.>gü©ñÒMbP?zpropack_test_data.npzT)Zallow_pickleZ	A_complexZA_realéÈ   r   )r6   Zrandom_stateé   r%   )r(   )r   Úfloat32Úfloat64Ú	complex64Ú
complex128ÚosÚpathÚdirnameÚ__file__ÚjoinÚloadr   Úitemr   r   r   r-   r.   r+   r,   r:   r;   ZtodenseZdiagZnorm)r	   rB   r(   Zpath_prefixÚrelative_pathÚfilenameÚdatar1   r4   ÚuÚsZvhr?   Zsv_checkÚu3Zs3Zvh3ZA3Zreconr   r   r   Útest_examplesq   sB        üû$$r`   Úshifts)Niöÿÿÿr   r%   r   éF   é   c              	   C   s’   t j d¡ d\}}t j ||f¡}| d k	rx| dk sJ|t|d |  |ƒkrxt t¡� t||| d| dd� W 5 Q R X nt||| d| dd� d S )Nr   ©rb   r   r%   r   T)ra   Zkmaxr6   )r   r   rF   ÚminÚpytestr   rH   r   )ra   r	   r   r4   r1   r   r   r   Útest_shifts¤   s    &"rg   c            
      C   sn   t j d¡ d\} }t j | | f¡ t j¡}t||d ddd�\}}}}t||dddd�\}}}	}t||ƒ d S )Nr   rd   r8   T)ra   r5   r6   é    )r   r   rF   r   Údoubler   r   )
r   r4   r1   r/   Ús1r=   r?   r0   Ús2r>   r   r   r   Útest_shifts_accuracy±   s    rl   )r3   )/rS   rf   r   Únumpyr   Znumpy.testingr   r   rG   Zscipy.sparse.linalg._svdpr   Zscipy.sparser   r   rO   rP   rQ   rR   r9   r   r   r   Z_dtypesÚkeysZdtype_flavourr   ÚmarkÚskipr	   ÚitemsizeZslowÚappendÚparamÚ__name__ÚtupleÚfloatr$   r2   r@   ZparametrizeÚarrayrK   Útimeoutr`   rg   Zxfailrl   r   r   r   r   Ú<module>   sh       ü
ÿ
 ÿ


0