o
    g"                     @   s  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
 d dlmZ d dl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$dd Z%dd Z&dd Z'dd Z(dd Z)dd Z*dd Z+dS )    )Product)pi)S)Dummysymbols)exp)sqrt)gamma)DeterminantMatrixTraceMatrixSymbol	MatrixSet)densitysample)MatrixGammaDistributionMatrixGammaMatrixPSpaceWishartMatrixNormalMatrixStudentT)raisesskip)import_modulec                     sJ   t ddddgddgg td dd} | j ksJ tt fdd d S )N      Mc                      s   t d ddS )Nr   g333333?r   )r    r   r   b/var/www/visachat/venv/lib/python3.10/site-packages/sympy/stats/tests/test_matrix_distributions.py<lambda>   s    z#test_MatrixPSpace.<locals>.<lambda>)r   r   distributionr   
ValueError)MPr   r   r   test_MatrixPSpace   s   r$   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$J t
ddd} ttttd d dgdtd d gg|  }t |  |dt tt|   ksZJ t ddgddgg tdtd d	t  ksvJ t
ddd} t
d
dd}t | |g t| d  d |d d  dt t| d |d  | d |d     ksJ tddd\}}tdddd}t
d
||}t
dddt
d||}t d|||}t dddddgddggtd}t| |d  d  || |   ttd| |d  |  t||   t|||d  tdd    tt| d | tdd  |d|f }	t|||	sDJ tt fdd tt fdd ttdd  ttdd  ttdd  ttdd  d S )Nr   r   r   r   X         Y)r   r   )r   r   za bTpositivedr,   integerZSMM2M3kc                      s   t   S )Nr   r   r   r3   r0   r   r   r    /   s    z"test_MatrixGamma.<locals>.<lambda>c                         t  dS Nr   r6   r   r   r   r   r    0       c                   S      t dddddgddggS Nr   r5   r   r   r   r   r   r   r   r   r    1       c                   S   r;   )Nr   r5   r(   r   r   r=   r   r   r   r   r    2   r>   c                   S   s   t dddddgddggS r<   r=   r   r   r   r   r    3   r>   c                   S   s   t dddddgdggS r<   r=   r   r   r   r   r    4       )r   pspacer!   setr   r   Reals
isinstancer   r   r   r   r   r   doitr   r   r
   r   r   r   r	   dummy_eqr   NotImplementedErrorr"   )
r%   numr*   abr-   r1   r2   r4   exprdr   r7   r   test_MatrixGamma   sH   4,86>$rK   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*   r1   r4   r&   r5   c                      r8   r9   r6   r   rL   r   r   r    G   r:   ztest_Wishart.<locals>.<lambda>c                   S   s   t ddddgddggS )NrL   r5   r   r   r   r   r   r   r   r    H   r?   c                   S   s   t ddddgddggS )NrL   r5   r   r   r   rR   r   r   r   r   r    I   r?   c                   S   s   t ddddgdggS )NrL   r   r   r   rR   r   r   r   r   r    J   s    )r   r@   r!   rA   r   r   rB   r   r   r   r   r   rD   r
   r   r   r   r   r	   rE   r   r"   )r%   term1rP   r-   r*   r1   r4   rJ   r   rQ   r   test_Wishart6   s4   4(0H,rT   c            	         s  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
tdd gg t
d	d
gg|    d }t |  td| dt  kszJ t ddgg tdttd d  dt  ksJ tdddd\}}td||}td||}td||}td||}t d||| dt | | d  tt	|d |j |j  |d  | |   d  t|| d   t|| d   }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  d S )Nr   rM      r&   r   r   r%   r'   rN      rO   zd nTr.   SM2SM1LMr*   r5   c                      r8   r9   r6   r   r   r   r   r    ]   r:   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    ^      * c                   S   s*   t dddgddgddggddgddggS r\   r]   r   r   r   r   r    _   r^   c                   S   s*   t dddgddgddggddgddggS r\   r]   r   r   r   r   r    `   r^   c                   S   s(   t dddgddgdggddgddggS r\   r]   r   r   r   r   r    a      ( c                   S   s(   t dddgddgddggddgdggS r\   r]   r   r   r   r   r    b   r_   c                   S   s&   t dddggddgddggddggS r\   r]   r   r   r   r   r    c   s   & c                   S   s   t dddggdgddggS r\   r]   r   r   r   r   r    d   s    )r   r@   r!   rA   r   r   rB   r   r   r   r   Tr   rD   r   r   r   r
   r   r"   )	r%   rS   r-   rP   rY   rZ   r[   r*   rJ   r   r   r   test_MatrixNormalL   sH   ":(<Bra   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   rM   rU   r   r&   r%   g      g      rV   rW   r'   vTr+   )r   r   OmegaSigmaLocationr*   r5   c                      r8   r9   r6   r   r   r   r   r    |   r:   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 r\   r   r   r   r   r   r    }      , c                   S   s,   t ddddgddgddggddgddggS r\   rf   r   r   r   r   r    ~   rg   c                   S   s,   t ddddgddgddggddgddggS r\   rf   r   r   r   r   r       rg   c                   S   s*   t ddddgddgdggddgddggS r\   rf   r   r   r   r   r       r^   c                   S   s(   t ddddgddgddggdgdggS r\   rf   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 r\   rf   r   r   r   r   r       r_   c                   S   s   t ddddggdgddggS r\   rf   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   r5   r   r   r   r&   rf   r   r   r   r   r       s   " )r   r@   r!   rA   r   r   rB   r   r   r
   r   r`   r   r   r	   r   r   r"   )
r%   Drb   rP   prc   rd   re   r*   rJ   r   r   r   test_MatrixStudentTf   sJ   $0&6
T"rj   c                     s   t dddggdgddgddggtddddgddggg} d}td	}|s+td
 d S | D ]}t||d}|D ]}t||jjjv sDJ q7q-t	dddddgddgg t
t fdd d S )Nr   rM   rU   r&   r   r   rL   r   scipyz3Scipy not installed. Abort tests for _sample_scipy.sizec                         t  ddS Nr'   rl   r   r   r   r   r   r       r:   z#test_sample_scipy.<locals>.<lambda>r   r   r   r   r   r   r@   r!   rA   r   r   rF   )distribs_scipyrm   rk   r%   sampssamr   r   r   test_sample_scipy   s    ru   c                     s   t dddgddggddgddggddgddggtd	d
ddgddggg} d}td}|s3td d S | D ]}t||dd}|D ]}t||jjjv sMJ q@q5t	dddddgddgg t
t fdd d S )Nr   rM   rU   r'   r&   r   r   r   rL   rX   pymcz4PyMC is not installed. Abort tests for _sample_pymc.)rm   libraryc                      rn   ro   rp   r   r   r   r   r       r:   z"test_sample_pymc.<locals>.<lambda>rq   )distribs_pymcrm   rv   r%   rs   rt   r   r   r   test_sample_pymc   s   0ry   c               	   C   s   t dddgddggddgddggddgddgg} g d	}|D ]R}zGt|}|rgg g g }}}t| d
|dd}t| d
|dd}t| d
|dd}td
D ]}|| || k sZJ || || k sfJ qLW q tyq   Y qw d S )Nr   rM   rU   r'   r&   r   r   r   )rk   numpyrv   
   )rm   rw   seed)r   r   r   rangeallrF   )r%   	librarieslibimported_libs0s1s2ir   r   r   test_sample_seed   s$   2r   N),sympy.concrete.productsr   sympy.core.numbersr   sympy.core.singletonr   sympy.core.symbolr   r   &sympy.functions.elementary.exponentialr   (sympy.functions.elementary.miscellaneousr   'sympy.functions.special.gamma_functionsr	   sympy.matricesr
   r   r   r   r   sympy.statsr   r    sympy.stats.matrix_distributionsr   r   r   r   r   r   sympy.testing.pytestr   r   sympy.externalr   r$   rK   rT   ra   rj   ru   ry   r   r   r   r   r   <module>   s(       