a
    lh"                     @   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$dd Z%dd Z&dd Z'dd Z(dd Z)dd Z*dd Z+dS )    )Product)pi)S)Dummysymbols)exp)sqrt)gamma)DeterminantMatrixTraceMatrixSymbol	MatrixSet)densitysample)MatrixGammaDistributionMatrixGammaMatrixPSpaceWishartMatrixNormalMatrixStudentT)raisesskip)import_modulec                     sJ   t ddddgddgg td dd} | j ks4J tt fdd d S )N      Mc                      s   t d ddS )Nr   g333333?r   )r    r   r   Y/var/www/auris/lib/python3.9/site-packages/sympy/stats/tests/test_matrix_distributions.py<lambda>       z#test_MatrixPSpace.<locals>.<lambda>)r   r   distributionr   
ValueError)ZMPr   r   r   test_MatrixPSpace   s    r$   c            
         s  t dddddgddgg  jjjtddtjks6J tt t	sHJ t
ddd} ttttd d dgdtd d gg|  }t |  |dt tt|   ksJ t ddgddgg tdtd d	t  ksJ t
ddd} t
d
dd}t | |g t| d  d |d d  dt t| d |d  | d |d     kshJ 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|||	sJ 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    /   r!   z"test_MatrixGamma.<locals>.<lambda>c                      s   t  dS Nr   r6   r   r   r   r   r    0   r!   c                   S   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   r!   c                   S   s   t dddddgddggS )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 r9   r:   r   r   r   r   r    3   r!   c                   S   s   t dddddgdggS r9   r:   r   r   r   r   r    4   r!   )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>$rF   c                     s  t ddddgddgg  jjjtddtjks4J tddd} tt	t
td d dgdtd d gg|  }t |  |t|  dt  ksJ t ddgddgg tdd	t  ksJ 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                      s   t  dS r8   r6   r   rG   r   r   r    G   r!   ztest_Wishart.<locals>.<lambda>c                   S   s   t ddddgddggS )NrG   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 )NrG   r5   r   r   r   rM   r   r   r   r   r    I   r!   c                   S   s   t ddddgdggS )NrG   r   r   r   rM   r   r   r   r   r    J   r!   )r   r;   r"   r<   r   r   r=   r   r   r   r   r   r?   r
   r   r   r   r   r	   r@   r   r#   )r%   term1rK   r-   r*   r1   r4   rE   r   rL   r   test_Wishart6   s4    4(0H,rO   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sJ t ddgg tdttd d  dt  ks2J 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   rH      r&   r   r   r%   r'   rI      rJ   zd nTr.   SM2SM1LMr*   r5   c                      s   t  dS r8   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    ^   r!   c                   S   s*   t dddgddgddggddgddggS rW   rX   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 rW   rX   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 rW   rX   r   r   r   r   r    a   r!   c                   S   s(   t dddgddgddggddgdggS rW   rX   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 rW   rX   r   r   r   r   r    c   r!   c                   S   s   t dddggdgddggS rW   rX   r   r   r   r   r    d   r!   )r   r;   r"   r<   r   r   r=   r   r   r   r   Tr   r?   r   r   r   r
   r   r#   )	r%   rN   r-   rK   rT   rU   rV   r*   rE   r   r   r   test_MatrixNormalL   sH    ":(>BrZ   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s"J 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   rH   rP   r   r&   r%   g      g      rQ   rR   r'   vTr+   )r   r   OmegaSigmaLocationr*   r5   c                      s   t  dS r8   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 rW   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 rW   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 rW   r_   r   r   r   r   r       r!   c                   S   s*   t ddddgddgdggddgddggS rW   r_   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 rW   r_   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 rW   r_   r   r   r   r   r       r!   c                   S   s   t ddddggdgddggS rW   r_   r   r   r   r   r       r!   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&   r_   r   r   r   r   r       r!   )r   r;   r"   r<   r   r   r=   r   r   r
   r   rY   r   r   r	   r   r   r#   )
r%   Dr[   rK   pr\   r]   r^   r*   rE   r   r   r   test_MatrixStudentTf   sJ    $0&6
T"rb   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	}|sTtd
 nb| D ]0}t||d}|D ]}t||jjjv slJ qlqXt	dddddgddgg t
t fdd d S )Nr   rH   rP   r&   r   r   rG   r   scipyz3Scipy not installed. Abort tests for _sample_scipy.sizec                      s   t  ddS Nr'   rd   r   r   r   r   r   r       r!   z#test_sample_scipy.<locals>.<lambda>r   r   r   r   r   r   r;   r"   r<   r   r   rA   )Zdistribs_scipyre   rc   r%   sampssamr   r   r   test_sample_scipy   s     
rk   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}|sdtd nd| D ]2}t||dd}|D ]}t||jjjv s~J q~qht	dddddgddgg t
t fdd d S )Nr   rH   rP   r'   r&   r   r   r   rG   rS   pymcz4PyMC is not installed. Abort tests for _sample_pymc.)re   libraryc                      s   t  ddS rf   rg   r   r   r   r   r       r!   z"test_sample_pymc.<locals>.<lambda>rh   )Zdistribs_pymcre   rl   r%   ri   rj   r   r   r   test_sample_pymc   s    0
rn   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 ]}zt|}|rg g g   }}}t| d
|dd}t| d
|dd}t| d
|dd}td
D ]4}|| || k sJ || || k sJ qW q> ty   Y q>Y q>0 q>d S )Nr   rH   rP   r'   r&   r   r   r   )rc   numpyrl   
   )re   rm   seed)r   r   r   rangeallrA   )r%   	librarieslibZimported_libs0s1s2ir   r   r   test_sample_seed   s    2rz   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$   rF   rO   rZ   rb   rk   rn   rz   r   r   r   r   <module>   s&      