U
    Hvf                     @   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 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' Z dS )(    N)seed)assert_allclose)_compute_lwork)ortho_groupunitary_group)cossinget_lapack_funcsdtype_zm, p, q)      r   )   r
   r   )r   r   r
   )   r
   r
   )r   r   r
   )(         )r      r   )r   r   r   )d   2   r   )r   r   r   	swap_signTFc                 C   s>  t d | tkr&tjt|| d}ntjt|| d}t||||d\}}}t||| | d|d t	| j
 d |j| kst|jt|jkst|j| kst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 )N  dtype)r           g     @@ZrtolZatolF)	compute_ur   
   )
compute_vhr   )r   r   r   )r   COMPLEX_DTYPESnparrayr   rvsr   r   r   finfoepsr   AssertionErrorreal)r	   mpqr   xucsvh_Zcs2Zvh2u2 r.   I/tmp/pip-unpacked-wheel-96ln3f52/scipy/linalg/tests/test_decomp_cossin.pytest_cossin   sH    (L(r0   c                  C   s   t d 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\}}}|jtjkst	|jtjkst	|jtjkst	t
| || | ddttjj d d S )Nr   r   r   r
   r   g     @r   )r   r   r   r   r    float64r   
complex128r   r#   r   r!   r"   )r(   r)   r*   r+   r.   r.   r/   test_cossin_mixed_typesG   s    r3   c                	   C   sB   t jtdd* tddgdddgdd	gd
ddgf W 5 Q R X d S )Nz!be due to missing p, q arguments.matchr   r
   r   r               	   r   pytestraises
ValueErrorr   r.   r.   r.   r/   %test_cossin_error_incorrect_subblocksV   s    r?   c                	   C   s   t jtdd tg g g g f W 5 Q R X t jtdd$ tddgg ddgdd	d
gf W 5 Q R X t jtdd& tddgdddgg dd	d
gf W 5 Q R X t jtdd" tddgdddgdgg f 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/   !test_cossin_error_empty_subblocks[   s    (*r@   c                	   C   sT   t jtdd ttd W 5 Q R X t jtdd ttd 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/   &test_cossin_error_missing_partitioningf   s    rA   c                	   C   s&   t jtdd td W 5 Q R X d S )Nzcontaining the subblocks of Xr4   y              (@r;   r.   r.   r.   r/   test_cossin_error_non_iterablen   s    rB   c                	   C   s6   t jtdd ttddggdd W 5 Q R X d S )Nzonly supports squarer4   r   r
   )r<   r=   r>   r   r   r   r.   r.   r.   r/   test_cossin_error_non_squares   s    rC   c               	   C   s   t jtdt jd} tjtdd t| dd W 5 Q R X tjtdd t| dd W 5 Q R X tjtdd t| dd	 W 5 Q R X tjtd
d t| dd 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.*zinvalid q=5.*0<q<4.*r6   )	r   r   r   r    r1   r<   r=   r>   r   )r(   r.   r.   r/   test_cossin_error_partitioningw   s    rE   c                 C   s  t d d\}}}| tkrdnd}|dkr4t|nt|}tj|| d}t|d |d f|g\}}t||||}|dkrd|int	t
dd	g|}	||d |d |f |d ||d f ||d d |f ||d |d f f|	^ }
}}}}}}
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   )   P      orZunr   csdZ	csd_lworkZlworkZlrworkT)Zseparater   r   r   )r   REAL_DTYPESr   r    r   r   r   r   r   dictzipr   r   r!   r"   )r	   r%   r&   r'   pfxXdrvZdlwZlwvalZlwvalsr,   thetau1r-   Zv1tZv2tZu1_2Zu2_2Ztheta2Zv1t_2Zv2t_2r.   r.   r/   test_cossin_separate   s(    
PrS   )!r<   Znumpyr   Znumpy.randomr   Znumpy.testingr   Zscipy.linalg.lapackr   Zscipy.statsr   r   Zscipy.linalgr   r   Zfloat32r1   rK   Z	complex64r2   r   ZDTYPESmarkZparametrizer0   r3   r?   r@   rA   rB   rC   rE   rS   r.   r.   r.   r/   <module>   sD   )