o
    8Va!                     @   s   d dl mZmZmZmZmZmZmZmZ d dl	m
Z
mZmZmZmZ d dlmZmZ d dlmZmZmZmZmZmZ d dlmZmZ d dlmZ dd Zd	d
 Zdd Z dd Z!dd Z"dd Z#dd Z$dd Z%dS )    )expSsqrtpisymbolsProductgammaDummy)DeterminantMatrixTraceMatrixSymbol	MatrixSet)densitysample)MatrixGammaDistributionMatrixGammaMatrixPSpaceWishartMatrixNormalMatrixStudentT)raisesskip)import_modulec                     sJ   t ddddgddgg td dd} | j ksJ tt fdd d S )N      Mc                      s   t d ddS )Nr   g333333?r   )r    r   r   M/usr/lib/python3/dist-packages/sympy/stats/tests/test_matrix_distributions.py<lambda>   s    z#test_MatrixPSpace.<locals>.<lambda>)r   r   distributionr   
ValueError)ZMPr   r   r   test_MatrixPSpace
   s   r#   c            
         s  t dddddgddgg  jjjtddtjksJ tt t	s$J t
ddd} ttttd d dgdtd d gg|  }t |  |dt tt|   ksZJ t ddgddgg tdtd d	t  ksvJ t
ddd} t
d
dd}t | |g t| d  d |d d  dt t| d |d  | d |d     ksJ tddd\}}tdddd}t
d
||}t
dddt
d||}t d|||}t dddddgddggtd}t| |d  d  || |   ttd| |d  |  t||   t|||d  tdd    tt| d | tdd  |d|f }	t|||	sDJ tt fdd tt fdd ttdd  ttdd  ttdd  ttdd  d S )Nr   r   r   r   X         Y)r   r   )r   r   za bTpositivedr+   ZintegerZSMM2M3kc                      s   t   S )Nr   r   r   r1   r.   r   r   r    )   s    z"test_MatrixGamma.<locals>.<lambda>c                         t  dS Nr   r4   r   r   r   r   r    *       c                   S      t dddddgddggS Nr   r3   r   r   r   r   r   r   r   r   r    +       c                   S   r9   )Nr   r3   r'   r   r   r;   r   r   r   r   r    ,   r<   c                   S   s   t dddddgddggS r:   r;   r   r   r   r   r    -   r<   c                   S   s   t dddddgdggS r:   r;   r   r   r   r   r    .       )r   pspacer!   setr   r   Reals
isinstancer   r   r   r   r   r   doitr   r   r
   r   r	   r   r   dummy_eqr   NotImplementedErrorr"   )
r$   Znumr)   abr,   r/   r0   r2   exprdr   r5   r   test_MatrixGamma   sH   4,86>$rH   c                     s  t ddddgddgg  jjjtddtjksJ tddd} tt	t
td d dgdtd d gg|  }t |  |t|  dt  ksNJ t ddgddgg tdd	t  ksfJ td
dd}tdddd}td||}td||}t d|| td}d| | d  t| |d  d   tt	tdd  |d  |  t|| d   t|| d |d  tdd    tt| d |d  tdd  |d|f }t ||sJ tt fdd ttdd  ttdd  ttdd  d S )NW   r   r   r   r$      r'      nTr*   r,   r-   r)   r/   r2   r%   r3   c                      r6   r7   r4   r   rI   r   r   r    A   r8   ztest_Wishart.<locals>.<lambda>c                   S   s   t ddddgddggS )NrI   r3   r   r   r   r   r   r   r   r    B   r=   c                   S   s   t ddddgddggS )NrI   r3   r   r   r   rO   r   r   r   r   r    C   r=   c                   S   s   t ddddgdggS )NrI   r   r   r   rO   r   r   r   r   r    D   s    )r   r>   r!   r?   r   r   r@   r   r   r   r   r   rB   r
   r   r   r	   r   r   rC   r   r"   )r$   term1rM   r,   r)   r/   r2   rG   r   rN   r   test_Wishart0   s4   4(0H,rQ   c            	         sd  t dddggdgddgddgg  jjjtddtjksJ tddd} tt	t
tdd td d gtd d tdd ggt
d	gd
gg| j  t
dgg t
d	d
gg|    d }t |  |dt  ksrJ t ddgg ttd d dt  ksJ tdddd\}}td||}td||}td||}td||}t d||| ddt | | d   tt	|d |j |j  |d  | |   d  t||   t||   }t | |ksJ tt fdd ttdd  ttdd  ttdd  ttdd  ttdd  ttdd  ttdd  d S ) Nr   rJ      r%   r   r   r$   r&   g      ?rK      rL   zd nTr-   SM2SM1LMr)   r3   c                      r6   r7   r4   r   r   r   r   r    W   r8   z#test_MatrixNormal.<locals>.<lambda>c                   S   s*   t dddgddgddggddgddggS Nr   r   r   r   r   r   r   r   r   r    X      * c                   S   s*   t dddgddgddggddgddggS rY   rZ   r   r   r   r   r    Y   r[   c                   S   s*   t dddgddgddggddgddggS rY   rZ   r   r   r   r   r    Z   r[   c                   S   s(   t dddgddgdggddgddggS rY   rZ   r   r   r   r   r    [      ( c                   S   s(   t dddgddgddggddgdggS rY   rZ   r   r   r   r   r    \   r\   c                   S   s&   t dddggddgddggddggS rY   rZ   r   r   r   r   r    ]   s   & c                   S   s   t dddggdgddggS rY   rZ   r   r   r   r   r    ^   s    )r   r>   r!   r?   r   r   r@   r   r   r   r   Tr   rB   r   r   r
   r   r"   )	r$   rP   r,   rM   rV   rW   rX   r)   rG   r   r   r   test_MatrixNormalF   sH   ":
 4Fr^   c            
         s  t ddddggddgddggdg  jjjtddtjks J tddd} td t	t
dggd  t	t
ddgddggd	  t	t
tdd ggt
d
dgg|   t
tdd td d gtd d tdd gg t
d
gdgg| j  t
dgg d  }t | |ksJ tddd}d\}}td||}td||}td||}td||}t d|||| t|d d t	t
dgg|d | |  |d  |j |j   | d d   tt|d  tt	| t	|  }	t ||	ksJ tt fdd ttdd  ttdd  ttdd  ttdd  ttdd  ttdd  ttdd  ttdd  d S ) Nr   r   rJ   rR   r   r%   r$   g      g      rS   rT   r&   vTr*   )r   r   OmegaSigmaLocationr)   r3   c                      r6   r7   r4   r   r   r   r   r    v   r8   z%test_MatrixStudentT.<locals>.<lambda>c                   S   s,   t ddddgddgddggddgddggS rY   r   r   r   r   r   r    w      , c                   S   s,   t ddddgddgddggddgddggS rY   rc   r   r   r   r   r    x   rd   c                   S   s,   t ddddgddgddggddgddggS rY   rc   r   r   r   r   r    y   rd   c                   S   s*   t ddddgddgdggddgddggS rY   rc   r   r   r   r   r    z   r[   c                   S   s(   t ddddgddgddggdgdggS rY   rc   r   r   r   r   r    {   r\   c                   S   s(   t ddddggddgddggddggS rY   rc   r   r   r   r   r    |   r\   c                   S   s   t ddddggdgddggS rY   rc   r   r   r   r   r    }   s    c                   S   s"   t ddddgddgddggdgS )Nr   r3   r   r   r   r%   rc   r   r   r   r   r    ~   s   " )r   r>   r!   r?   r   r   r@   r   r   r
   r   r]   r   r   r   r   r   r"   )
r$   Dr_   rM   pr`   ra   rb   r)   rG   r   r   r   test_MatrixStudentT`   sJ   $0&6
T"rg   c                     s   t dddggdgddgddggtddddgddggg} d}td	}|s+td
 d S | D ]}t||d}|D ]}t||jjjv sDJ q7q-t	dddddgddgg t
t fdd d S )Nr   rJ   rR   r%   r   r   rI   r   scipyz3Scipy not installed. Abort tests for _sample_scipy.sizec                         t  ddS Nr&   ri   r   r   r   r   r   r       r8   z#test_sample_scipy.<locals>.<lambda>r   r   r   r   r   r   r>   r!   r?   r   r   rD   )Zdistribs_scipyrj   rh   r$   sampssamr   r   r   test_sample_scipy   s    rq   c                     s   t dddgddggddgddggddgddggtd	d
ddgddggg} d}td}|s3td d S | D ]}t||dd}|D ]}t||jjjv sMJ q@q5t	dddddgddgg t
t fdd d S )Nr   rJ   rR   r&   r%   r   r   r   rI   rU   pymc3z6PyMC3 is not installed. Abort tests for _sample_pymc3.)rj   libraryc                      rk   rl   rm   r   r   r   r   r       r8   z#test_sample_pymc3.<locals>.<lambda>rn   )Zdistribs_pymc3rj   rr   r$   ro   rp   r   r   r   test_sample_pymc3   s   0rt   c               	   C   s   t dddgddggddgddggddgddgg} g d	}|D ]R}zGt|}|rgg g g }}}t| d
|dd}t| d
|dd}t| d
|dd}td
D ]}|| || k sZJ || || k sfJ qLW q tyq   Y qw d S )Nr   rJ   rR   r&   r%   r   r   r   )rh   Znumpyrr   
   )rj   rs   Zseed)r   r   r   rangeallrD   )r$   Z	librarieslibZimported_libZs0s1s2ir   r   r   test_sample_seed   s$   2r|   N)&Zsympyr   r   r   r   r   r   r   r	   Zsympy.matricesr
   r   r   r   r   Zsympy.statsr   r   Z sympy.stats.matrix_distributionsr   r   r   r   r   r   Zsympy.testing.pytestr   r   Zsympy.externalr   r#   rH   rQ   r^   rg   rq   rt   r|   r   r   r   r   <module>   s   (    