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    <b                     @   sx  d dl mZ d dlmZ d dlmZ d dlmZmZm	Z	 d dl
mZ d dlmZmZ d dlmZmZmZ d dlmZ d d	lmZ d d
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ddd	}t
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         )r   r   r   
isinstancer$   r!   r%   r	   symbolr    r   doitr   r   r   r   )r'   r(   ZrateXr,   r.    r6   j/Users/vegardjervell/Documents/master/model/venv/lib/python3.9/site-packages/sympy/stats/tests/test_mix.pytest_density   s    
((r8   c                  C   s   t ddd\} }}tdd||}td| |d }t||d f}ttdttttdt	tdddt
ttdtdt	td	ddt
ttdtd
t	tt
ttdtdtdt	tt
ttdtd
tdttt
ttdtdt
ttdtd
tdttddt	ttdddtdtttdddt
ttdtdt	tt
ttdtdtdt	t
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ttdtd
tt
ttdtdtd}|||ksJ d S )Nza1 p1 p2Tr)   Cr*   Br   p1p2r-   a1)r   r   r   r#   r   r   r   r   r   r   r   r   r   r	   r   r   )r>   r;   r<   r9   r:   ZMGRZmgrcr6   r6   r7   test_MarginalDistribution)   sJ    """r?   c                  C   sh   t dd} t d| }tt|ts&J tt|jts:J |jjd tdttd ksdJ d S )NYr-   Zr=   )	r   r2   r$   r!   distributionr"   Zpdfr4   r   )r@   rA   r6   r6   r7   test_compound_distribution@   s
    

rD   c                  C   sb  t ddtdd } }td}tttdtt| t|d  |dtf t| |dtf|t df}tttdtt| t|d  |dtf t| |dtf|dtf}t	t
| | ddksJ t	t| | ddksJ tt\ t	||  dk dd	t|sJ t	||  dkdd	t|s>J W d    n1 sT0    Y  d S )
Nr@   r-   Ekr=   r*   r   F)evaluate)r   r   r   r   r   r   r   r   r   r   r	   r
   r&   UserWarningZrewriteZdummy_eq)r@   rE   rF   expr1Zexpr2r6   r6   r7   test_mix_expressionG   s*    ,
,
&rJ   N)@Zsympy.concrete.summationsr   Zsympy.core.addr   Zsympy.core.mulr   Zsympy.core.numbersr   r   r   Zsympy.core.powerr   Zsympy.core.relationalr	   r
   Zsympy.core.symbolr   r   r   Z(sympy.functions.combinatorial.factorialsr   Z&sympy.functions.elementary.exponentialr   Z(sympy.functions.elementary.miscellaneousr   Z$sympy.functions.elementary.piecewiser   Z'sympy.functions.special.delta_functionsr   Z'sympy.functions.special.gamma_functionsr   Zsympy.integrals.integralsr   Zsympy.simplify.simplifyr   Zsympy.tensor.indexedr   r   r   Zsympy.statsr   r   r   r   r   r   Zsympy.stats.crv_typesr   Zsympy.stats.drv_typesr    Zsympy.stats.compound_rvr!   r"   Zsympy.stats.joint_rvr#   Zsympy.stats.rvr$   r%   Zsympy.testing.pytestr&   r8   r?   rD   rJ   r6   r6   r6   r7   <module>   s6    