o
    GZh"                     @   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$dd Z%dd Z&dd Z'dd Z(dd Z)dd Z*dd Z+dS )    )Product)pi)S)Dummysymbols)exp)sqrt)gamma)DeterminantMatrixTraceMatrixSymbol	MatrixSet)densitysample)MatrixGammaDistributionMatrixGammaMatrixPSpaceWishartMatrixNormalMatrixStudentT)raisesskip)import_modulec                     sJ   t ddddgddgg td dd} | j ksJ tt fdd d S )N      Mc                      s   t d ddS )Nr   g333333?r   )r    r   r   Z/var/www/auris/lib/python3.10/site-packages/sympy/stats/tests/test_matrix_distributions.py<lambda>   s    z#test_MatrixPSpace.<locals>.<lambda>)r   r   distributionr   
ValueError)ZMPr   r   r   test_MatrixPSpace   s   r#   c            
         s  t dddddgddgg  jjjtddtjksJ tt t	s$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+   integerZSMM2M3kc                      s   t   S )Nr   r   r   r2   r/   r   r   r    /   s    z"test_MatrixGamma.<locals>.<lambda>c                         t  dS Nr   r5   r   r   r   r   r    0       c                   S      t dddddgddggS Nr   r4   r   r   r   r   r   r   r   r   r    1       c                   S   r:   )Nr   r4   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$   numr)   abr,   r0   r1   r3   exprdr   r6   r   test_MatrixGamma   sH   4,86>$rJ   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$      r'      nTr*   r,   r-   r)   r0   r3   r%   r4   c                      r7   r8   r5   r   rK   r   r   r    G   r9   ztest_Wishart.<locals>.<lambda>c                   S   s   t ddddgddggS )NrK   r4   r   r   r   r   r   r   r   r    H   r>   c                   S   s   t ddddgddggS )NrK   r4   r   r   r   rQ   r   r   r   r   r    I   r>   c                   S   s   t ddddgdggS )NrK   r   r   r   rQ   r   r   r   r   r    J   s    )r   r?   r!   r@   r   r   rA   r   r   r   r   r   rC   r
   r   r   r   r   r	   rD   r   r"   )r$   term1rO   r,   r)   r0   r3   rI   r   rP   r   test_Wishart6   s4   4(0H,rS   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   rL      r%   r   r   r$   r&   rM      rN   zd nTr-   SM2SM1LMr)   r4   c                      r7   r8   r5   r   r   r   r   r    ]   r9   z#test_MatrixNormal.<locals>.<lambda>c                   S   s*   t dddgddgddggddgddggS Nr   r   r   r   r   r   r   r   r   r    ^      * c                   S   s*   t dddgddgddggddgddggS r[   r\   r   r   r   r   r    _   r]   c                   S   s*   t dddgddgddggddgddggS r[   r\   r   r   r   r   r    `   r]   c                   S   s(   t dddgddgdggddgddggS r[   r\   r   r   r   r   r    a      ( c                   S   s(   t dddgddgddggddgdggS r[   r\   r   r   r   r   r    b   r^   c                   S   s&   t dddggddgddggddggS r[   r\   r   r   r   r   r    c   s   & c                   S   s   t dddggdgddggS r[   r\   r   r   r   r   r    d   s    )r   r?   r!   r@   r   r   rA   r   r   r   r   Tr   rC   r   r   r   r
   r   r"   )	r$   rR   r,   rO   rX   rY   rZ   r)   rI   r   r   r   test_MatrixNormalL   sH   ":(<B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   rL   rT   r   r%   r$   g      g      rU   rV   r&   vTr*   )r   r   OmegaSigmaLocationr)   r4   c                      r7   r8   r5   r   r   r   r   r    |   r9   z%test_MatrixStudentT.<locals>.<lambda>c                   S   s,   t ddddgddgddggddgddggS r[   r   r   r   r   r   r    }      , c                   S   s,   t ddddgddgddggddgddggS r[   re   r   r   r   r   r    ~   rf   c                   S   s,   t ddddgddgddggddgddggS r[   re   r   r   r   r   r       rf   c                   S   s*   t ddddgddgdggddgddggS r[   re   r   r   r   r   r       r]   c                   S   s(   t ddddgddgddggdgdggS r[   re   r   r   r   r   r       r^   c                   S   s(   t ddddggddgddggddggS r[   re   r   r   r   r   r       r^   c                   S   s   t ddddggdgddggS r[   re   r   r   r   r   r       s    c                   S   s"   t ddddgddgddggdgS )Nr   r4   r   r   r   r%   re   r   r   r   r   r       s   " )r   r?   r!   r@   r   r   rA   r   r   r
   r   r_   r   r   r	   r   r   r"   )
r$   Dra   rO   prb   rc   rd   r)   rI   r   r   r   test_MatrixStudentTf   sJ   $0&6
T"ri   c                     s   t dddggdgddgddggtddddgddggg} d}td	}|s+td
 d S | D ]}t||d}|D ]}t||jjjv sDJ q7q-t	dddddgddgg t
t fdd d S )Nr   rL   rT   r%   r   r   rK   r   scipyz3Scipy not installed. Abort tests for _sample_scipy.sizec                         t  ddS Nr&   rk   r   r   r   r   r   r       r9   z#test_sample_scipy.<locals>.<lambda>r   r   r   r   r   r   r?   r!   r@   r   r   rE   )Zdistribs_scipyrl   rj   r$   sampssamr   r   r   test_sample_scipy   s    rs   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   rL   rT   r&   r%   r   r   r   rK   rW   pymcz4PyMC is not installed. Abort tests for _sample_pymc.)rl   libraryc                      rm   rn   ro   r   r   r   r   r       r9   z"test_sample_pymc.<locals>.<lambda>rp   )Zdistribs_pymcrl   rt   r$   rq   rr   r   r   r   test_sample_pymc   s   0rv   c               	   C   s   t dddgddggddgddggddgddgg} g d	}|D ]R}zGt|}|rgg g g }}}t| d
|dd}t| d
|dd}t| d
|dd}td
D ]}|| || k sZJ || || k sfJ qLW q tyq   Y qw d S )Nr   rL   rT   r&   r%   r   r   r   )rj   numpyrt   
   )rl   ru   seed)r   r   r   rangeallrE   )r$   Z	librarieslibZimported_libs0s1s2ir   r   r   test_sample_seed   s$   2r   N),Zsympy.concrete.productsr   Zsympy.core.numbersr   Zsympy.core.singletonr   Zsympy.core.symbolr   r   Z&sympy.functions.elementary.exponentialr   Z(sympy.functions.elementary.miscellaneousr   Z'sympy.functions.special.gamma_functionsr	   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#   rJ   rS   r`   ri   rs   rv   r   r   r   r   r   <module>   s(       