U
    ZÊ¹j™"  ã                   @   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 )é    )ÚProduct)Úpi)ÚS)ÚDummyÚsymbols)Úexp)Úsqrt)Úgamma)ÚDeterminantÚMatrixÚTraceÚMatrixSymbolÚ	MatrixSet)ÚdensityÚsample)ÚMatrixGammaDistributionÚMatrixGammaÚMatrixPSpaceÚWishartÚMatrixNormalÚMatrixStudentT)ÚraisesÚskip)Úimport_modulec                     sJ   t ddddgddggƒ‰ tdˆ ddƒ} | jˆ ks4t‚tt‡ fdd„ƒ d S )Né   é   ÚMc                      s   t dˆ ddƒS )Nr   g333333ó?r   )r   © ©r   r   új/var/www/html/bwave/python/venv/lib/python3.8/site-packages/sympy/stats/tests/test_matrix_distributions.pyÚ<lambda>   ó    z#test_MatrixPSpace.<locals>.<lambda>)r   r   ÚdistributionÚAssertionErrorr   Ú
ValueError)ZMPr   r   r   Útest_MatrixPSpace   s    r%   c            
         sî  t dddddgddggƒ‰ ˆ jjjtddtjƒks6t‚tt	ˆ ƒt
ƒsHt‚tdddƒ} ttttdƒ d dgdtdƒ d ggƒ|  ƒƒ}t	ˆ ƒ| ƒ ¡ |dt tt| ƒƒ  ks´t‚t	ˆ ƒddgddggƒ ¡ tdƒtdƒ d	t  ksìt‚tdddƒ} td
ddƒ}t	ˆ ƒ| |gƒ ¡ t| d  d |d d  ƒdt t| d |d  | d |d   ƒ  k�sht‚tddd�\}}tdddd�}td
||ƒ}tdddƒ‰td||ƒ}t d|||ƒ}t dddddgddggƒ‰tdƒ}t| |d  d  || |   ttd| |d  | ƒƒ t|ƒ|   t|ƒ||d  tdƒd    tt| d | tdƒd  ƒ|d|fƒ }	t	|ƒ|ƒ |	¡�sŠt‚tt‡ ‡‡fdd„ƒ tt‡ fdd„ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ d S )Nr   r   r   r   ÚXé   é   éþÿÿÿé   ÚY)r   r   )r   r   za bT©ÚpositiveÚd©r-   ÚintegerÚZÚSMÚM2ÚM3Úkéÿÿÿÿc                      s   t ˆˆ  ƒˆƒS )N©r   r   ©r   r4   r1   r   r   r    /   r!   z"test_MatrixGamma.<locals>.<lambda>c                      s   t ˆ ƒdƒS ©Nr   r7   r   r   r   r   r    0   r!   c                   S   s   t dddddgddggƒS ©Nr   r6   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ƒS )Nr   r6   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ƒS r:   r;   r   r   r   r   r    3   r!   c                   S   s   t dddddgdggƒS r:   r;   r   r   r   r   r    4   r!   )r   Úpspacer"   Úsetr   r   ÚRealsr#   Ú
isinstancer   r   r   r   r   r   Údoitr   r   r
   r   r   r   r	   Údummy_eqr   ÚNotImplementedErrorr$   )
r&   Únumr+   ÚaÚbr.   r2   r3   r5   Úexprdr   r8   r   Útest_MatrixGamma   sJ    4,86ÿ>ÿÿ ÿÿrG   c                     s  t ddddgddggƒ‰ ˆ jjjtddtjƒks4t‚tdddƒ} t	t
ttdƒ d dgdtdƒ d ggƒ|  ƒƒ}tˆ ƒ| ƒ ¡ |t| ƒ dt  ksœt‚tˆ ƒddgddggƒ ¡ t	dƒd	t  ksÌt‚td
dd�}tdddd�}td||ƒ}td||ƒ}t d||ƒ‰ tdƒ}d| | d  t| |d  d   t	t
tdƒd  |d  | ƒƒ t|ƒ| d   t|ƒ| d |d  tdƒd    tt| d |d  tdƒd  ƒ|d|fƒ }tˆ ƒ|ƒ |¡�sÚt‚tt‡ fdd„ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ d S )NÚWé   r   r   r   r&   é   r)   é   ÚnTr,   r.   r/   r+   r2   r5   r'   r6   c                      s   t ˆ ƒdƒS r9   r7   r   ©rH   r   r   r    G   r!   ztest_Wishart.<locals>.<lambda>c                   S   s   t ddddgddggƒS )NrH   r6   r   r   ©r   r   r   r   r   r    H   r!   c                   S   s   t ddddgddggƒS )NrH   r6   r   r   r   rN   r   r   r   r   r    I   r!   c                   S   s   t ddddgdggƒS )NrH   r   r   r   rN   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	   rA   r   r$   )r&   Úterm1rL   r.   r+   r2   r5   rF   r   rM   r   Útest_Wishart6   s4    4(0Hÿÿÿ,þrP   c            	         s„  t dddggdgddgddggƒ‰ ˆ jjjtddtjƒks>t‚tdddƒ} t	t
ttdƒd tdƒ d gtdƒ d tdƒd ggƒtd	gd
ggƒ| j  ttdƒd ggƒ td	d
ggƒ|   ƒ d ƒ}tˆ ƒ| ƒ ¡ tdƒ| dt  ksôt‚tˆ ƒddggƒ ¡ tdƒt	tdƒ d ƒ dt  k�s2t‚tdddd�\}}td||ƒ}td||ƒ}td||ƒ}td||ƒ}t d|||ƒ‰ dt | | d  t	t
|d |j |j  |d  | |  ƒ d ƒ t|ƒ| d   t|ƒ| d   }tˆ ƒ|ƒ ¡ |k�st‚tt‡ fdd„ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ d S )Nr   rI   é   r'   r   r   r&   r(   éûÿÿÿéúÿÿÿrJ   é   rK   zd nTr/   ÚSM2ÚSM1ÚLMr+   r6   c                      s   t ˆ ƒdƒS r9   r7   r   r   r   r   r    ]   r!   z#test_MatrixNormal.<locals>.<lambda>c                   S   s*   t dddgddgddggddgddggƒS ©Nr   r   r   r   ©r   r   r   r   r   r    ^   r!   c                   S   s*   t dddgddgddggddgddggƒS rX   rY   r   r   r   r   r    _   r!   c                   S   s*   t dddgddgddggddgddggƒS rX   rY   r   r   r   r   r    `   r!   c                   S   s(   t dddgddgdggddgddggƒS rX   rY   r   r   r   r   r    a   r!   c                   S   s(   t dddgddgddggddgdggƒS rX   rY   r   r   r   r   r    b   r!   c                   S   s&   t dddggddgddggddggƒS rX   rY   r   r   r   r   r    c   r!   c                   S   s   t dddggdgddggƒS rX   rY   r   r   r   r   r    d   r!   )r   r<   r"   r=   r   r   r>   r#   r   r   r   r   ÚTr   r@   r   r   r   r
   r   r$   )	r&   rO   r.   rL   rU   rV   rW   r+   rF   r   r   r   Útest_MatrixNormalL   sH    ":ÿÿÿÿ(>Bÿÿÿr[   c            
         sŒ  t ddddggddgddggdgƒ‰ ˆ jjjtddtjƒks@t‚tdddƒ} t	d t
tdggƒƒd  t
tddgddggƒƒd	  t
ttdƒd ggƒtd
dggƒ|   ttdƒd tdƒ d gtdƒ d tdƒd ggƒ td
gdggƒ| j  tdggƒ ƒd  }tˆ ƒ| ƒ|k�s"t‚tddd�}d\}}td||ƒ}td||ƒ}td||ƒ}td||ƒ}t d||||ƒ‰ t|d d ƒt
tdggƒ|d | |  |d  |j |j   ƒ| d d   t	t|d ƒ tt
|ƒƒ t
|ƒ  }	tˆ ƒ|ƒ|	k�st‚tt‡ fdd„ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ ttdd„ ƒ d S ) Nr   r   rI   rQ   r   r'   r&   g      ð¿g      à¿rR   rS   r(   ÚvTr,   )r   r   ÚOmegaÚSigmaÚLocationr+   r6   c                      s   t ˆ ƒdƒS r9   r7   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ƒS rX   ©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ƒS rX   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ƒS rX   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ƒS rX   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ƒS rX   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ƒS rX   r`   r   r   r   r   r    ‚   r!   c                   S   s   t ddddggdgddggƒS rX   r`   r   r   r   r   r    ƒ   r!   c                   S   s"   t ddddgddgddggdgƒS )Nr   r6   r   r   r   r'   r`   r   r   r   r   r    „   r!   )r   r<   r"   r=   r   r   r>   r#   r   r   r
   r   rZ   r   r   r	   r   r   r$   )
r&   ÚDr\   rL   Úpr]   r^   r_   r+   rF   r   r   r   Útest_MatrixStudentTf   sJ    $0ÿ&6ÿþ
þþÿT"ÿrc   c                     sº   t dddggdgddgddggƒtddddgddggƒg} d}td	ƒ}|sTtd
ƒ nb| D ]0}t||d�}|D ]}t|ƒ|jjjkslt	‚qlqXt
dddddgddggƒ‰ tt‡ fdd„ƒ d S )Nr   rI   rQ   r'   r   r   rH   r   Úscipyz3Scipy not installed. Abort tests for _sample_scipy.©Úsizec                      s   t ˆ dd�S ©Nr(   re   ©r   r   r   r   r   r    –   r!   z#test_sample_scipy.<locals>.<lambda>©r   r   r   r   r   r   r<   r"   r=   r#   r   r   rB   )Zdistribs_scipyrf   rd   r&   ÚsampsÚsamr   r   r   Útest_sample_scipy†   s     þ
rl   c                     sÌ   t dddgddggddgddggddgddggƒtd	d
ddgddggƒg} d}tdƒ}|sdtdƒ nd| D ]2}t||dd�}|D ]}t|ƒ|jjjks~t	‚q~qht
dddddgddggƒ‰ tt‡ fdd„ƒ d S )Nr   rI   rQ   r(   r'   r   r   r   rH   rT   Úpymcz4PyMC is not installed. Abort tests for _sample_pymc.)rf   Úlibraryc                      s   t ˆ dd�S rg   rh   r   r   r   r   r    §   r!   z"test_sample_pymc.<locals>.<lambda>ri   )Zdistribs_pymcrf   rm   r&   rj   rk   r   r   r   Útest_sample_pymc˜   s    0þ
ro   c               	   C   sò   t dddgddggddgddggddgddggƒ} d	d
dg}|D ]¬}zŽt|ƒ}|rÐg g g   }}}t| d|dd�}t| d|dd�}t| d|dd�}tdƒD ]4}|| || k ¡ s¶t‚|| || k ¡ sšt‚qšW q@ tk
rê   Y q@Y q@X q@d S )Nr   rI   rQ   r(   r'   r   r   r   rd   Únumpyrm   é
   )rf   rn   Úseed)r   r   r   ÚrangeÚallr#   rB   )r&   Ú	librariesÚlibZimported_libÚs0Ús1Ús2Úir   r   r   Ú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%   rG   rP   r[   rc   rl   ro   r{   r   r   r   r   Ú<module>   s&      