U
    »mœdŒ  ã                   @   s  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 d dlmZmZ ejejfZejejfZee Ze j de¡e j dd	d
ddddddddg
¡e j dddg¡dd„ ƒƒƒ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¡d&d'„ ƒZ dS )(é    N)Úseed)Úassert_allclose)Ú_compute_lwork)Úortho_groupÚunitary_group)ÚcossinÚget_lapack_funcsÚdtype_zm, p, q)é   é   r   )é   r
   r   )r   r   r
   )é   r
   r
   )r   r   r
   )é(   é   é   )r   é   r   )r   r   r   )éd   é2   r   )r   r   r   Ú	swap_signTFc                 C   s>  t dƒ | tkr&tjt |¡| d�}ntjt |¡| d�}t||||d�\}}}t||| | d|d t 	| ¡j
 d� |j| ks†t‚|jt |¡jksœt‚|j| ksªt‚t|d |…d |…f |d |…|d …f ||d …d |…f ||d …|d …f g|d�\}}}t||| | d|d t 	| ¡j
 d� |j| k�s<t‚|jt |¡jk�sTt‚|j| k�sdt‚t|||d|d�\}	}
}t||
dd	t 	| ¡j
 d� t||dd	t 	| ¡j
 d� t|||d|d
�\}}
}	t||dd	t 	| ¡j
 d� t||
dd	t 	| ¡j
 d� t|||dd|d�\}	}
}	t||
dd	t 	| ¡j
 d� d S )NéÒ  ©Údtype)r   ç        g     @�@©ZrtolZatolF)Ú	compute_ur   é
   )Ú
compute_vhr   )r   r   r   )r   ÚCOMPLEX_DTYPESÚnpÚarrayr   Úrvsr   r   r   ÚfinfoÚepsr   ÚAssertionErrorÚreal)r	   ÚmÚpÚqr   ÚxÚuÚcsÚvhÚ_Zcs2Zvh2Úu2© r.   ú^/home/sam/Atlas/atlas_env/lib/python3.8/site-packages/scipy/linalg/tests/test_decomp_cossin.pyÚtest_cossin   sH    ÿ(Lÿ(þþýr0   c                  C   sÚ   t dƒ tjt d¡tjd�} t| d d…d d…f tj| d d…dd …f tjd�| dd …d d…f | dd …dd …f gƒ\}}}|jtjks�t	‚|jtjks t	‚|jtjks°t	‚t
| || | ddt tj¡j d� d S )Nr   r   r   r
   r   g     ˆÃ@r   )r   r   r   r   r    Úfloat64r   Ú
complex128r   r#   r   r!   r"   )r(   r)   r*   r+   r.   r.   r/   Útest_cossin_mixed_typesG   s    ýÿr3   c                	   C   sB   t jtdd��* tddgdddgdd	gd
ddgfƒ W 5 Q R X d S )Nz!be due to missing p, q arguments.©Úmatchr   r
   r   r   é   é   é   é   é	   r   ©ÚpytestÚraisesÚ
ValueErrorr   r.   r.   r.   r/   Ú%test_cossin_error_incorrect_subblocksV   s    r?   c                	   C   sÖ   t jtdd�� tg g g g fƒ W 5 Q R X t jtdd��$ tddgg ddgdd	d
gfƒ W 5 Q R X t jtdd��& tddgdddgg dd	d
gfƒ W 5 Q R X t jtdd��" tddgdddgdgg fƒ W 5 Q R X d S )Nz
x11.*emptyr4   z
x12.*emptyr   r
   r7   r8   r9   r:   r   z
x21.*emptyr   r   r6   z
x22.*emptyr;   r.   r.   r.   r/   Ú!test_cossin_error_empty_subblocks[   s    (*r@   c                	   C   sT   t jtdd�� tt d¡ƒ W 5 Q R X t jtdd�� tt d¡ƒ W 5 Q R X d S )Nz.*exactly four arrays.* got 2r4   r
   z.*might be due to missing p, qr   )r<   r=   r>   r   r   r    r.   r.   r.   r/   Ú&test_cossin_error_missing_partitioningf   s    rA   c                	   C   s&   t jtdd�� tdƒ W 5 Q R X d S )Nzcontaining the subblocks of Xr4   y              (@r;   r.   r.   r.   r/   Útest_cossin_error_non_iterablen   s    rB   c                	   C   s6   t jtdd�� tt ddgg¡ddƒ W 5 Q R X d S )Nzonly supports squarer4   r   r
   )r<   r=   r>   r   r   r   r.   r.   r.   r/   Útest_cossin_error_non_squares   s    rC   c               	   C   s²   t jt d¡t jd�} tjtdd�� t| ddƒ W 5 Q R X tjtdd�� t| ddƒ W 5 Q R X tjtdd�� t| dd	ƒ W 5 Q R X tjtd
d�� t| ddƒ W 5 Q R X d S )Nr   r   zinvalid p=0.*0<p<4.*r4   r   r   zinvalid p=4.*0<p<4.*zinvalid q=-2.*0<q<4.*éþÿÿÿzinvalid q=5.*0<q<4.*r6   )	r   r   r   r    r1   r<   r=   r>   r   )r(   r.   r.   r/   Útest_cossin_error_partitioningw   s    rE   c                 C   s¨  t dƒ d\}}}| tkrdnd}|dkr4t |¡nt |¡}tj|| d�}t|d |d f|gƒ\}}t||||ƒ}|dkr†d|int	t
dd	g|ƒƒ}	||d |…d |…f |d |…|d …f ||d …d |…f ||d …|d …f f|	Ž�^ }
}}}}}}
t|||d
d�\\}}}\}}t||ddt | ¡j d� t||ddt | ¡j d� t||ddt | ¡j d� t||ddt | ¡j d� t||ddt | ¡j d� d S )Nr   )éú   éP   éª   ÚorÚunr   ÚcsdZ	csd_lworkZlworkZlrworkT)Zseparater   r   r   )r   ÚREAL_DTYPESr   r    r   r   r   r   r   ÚdictÚzipr   r   r!   r"   )r	   r%   r&   r'   ÚpfxÚXÚdrvZdlwZlwvalZlwvalsr,   ÚthetaÚu1r-   Zv1tZv2tZu1_2Zu2_2Ztheta2Zv1t_2Zv2t_2r.   r.   r/   Útest_cossin_separateƒ   s(    
ÿþPÿrT   )!r<   Únumpyr   Znumpy.randomr   Znumpy.testingr   Zscipy.linalg.lapackr   Zscipy.statsr   r   Zscipy.linalgr   r   Zfloat32r1   rL   Z	complex64r2   r   ZDTYPESÚmarkZparametrizer0   r3   r?   r@   rA   rB   rC   rE   rT   r.   r.   r.   r/   Ú<module>   sD   öÿ)