ó
¡¼™\c           @   sÁ   d  d l  m Z m Z m Z m Z m Z m Z m Z d  d l m	 Z	 m
 Z
 m Z m Z d  d l m Z d  d l m Z d  d l m Z m Z d  d l m Z m Z d „  Z d „  Z d	 „  Z d
 S(   iÿÿÿÿ(   t   Symbolt   Eqt   Net   simplifyt   sqrtt   expt   pi(   t   Poissont   Betat   Exponentialt   P(   t   Normal(   t   PoissonDistribution(   t   JointPSpacet   CompoundDistribution(   t   pspacet   densityc          C   sB  t  d ƒ }  t  d d t ƒ} t | d d ƒ } t |  | ƒ } t t | ƒ t ƒ sZ t ‚ t | t	 | | j
 ƒ ƒ t | ƒ k s‡ t ‚ t d d d ƒ } t d	 | d ƒ } t | ƒ d ƒ j ƒ  t d
 ƒ d
 t t ƒ k sã t ‚ t t | t	 | d ƒ ƒ |  ƒ ƒ t d ƒ t |  d d d ƒ d t t ƒ k s>t ‚ d  S(   Nt   xt   lt   positivei   i   t   N1i    i   t   N2i
   i   i   (   R    t   TrueR   R   t
   isinstanceR   R   t   AssertionErrorR   R   t   symbolR   R   t   doitR   R   R   R   (   R   R   t   ratet   XR   R   (    (    s9   lib/python2.7/site-packages/sympy/stats/tests/test_mix.pyt   test_density   s    -8!c          C   s˜   t  d d ƒ }  t  d |  ƒ } t t | ƒ t ƒ s9 t ‚ t t | ƒ j t ƒ sW t ‚ | j j j d ƒ j ƒ  t	 d ƒ t	 t	 d ƒ ƒ k s” t ‚ d  S(   Nt   Yi   t   Ziþÿÿÿiÿÿÿÿ(
   R   R   R   R   R   t   distributionR   t   pdfR   R   (   R   R   (    (    s9   lib/python2.7/site-packages/sympy/stats/tests/test_mix.pyt   test_compound_distribution   s
    c          C   sÑ   t  d d ƒ t d d ƒ }  } t t |  | d ƒ ƒ d k sD t ‚ t t |  | d ƒ ƒ d k si t ‚ t t | |  d k  d t ƒƒ d d k s› t ‚ t t | |  d k d t ƒƒ d d	 k sÍ t ‚ d  S(
   NR   i   t   Ei    i   t   evaluates   Integral(Sum(exp(-1)*IntegralsZ   (exp(-E)*DiracDelta(-_z + E + Y - 2), (E, 0, oo))/factorial(Y), (Y, 0, oo)), (_z, -oo, 0))sY   (exp(-E)*DiracDelta(-_z + E + Y - 2), (E, 0, oo))/factorial(Y), (Y, 0, oo)), (_z, 0, oo))(   R   R	   R
   R   R   R   t   strt   False(   R   R#   (    (    s9   lib/python2.7/site-packages/sympy/stats/tests/test_mix.pyt   test_mix_expression   s    %%""N(   t   sympyR    R   R   R   R   R   R   t   sympy.statsR   R   R	   R
   t   sympy.stats.crv_typesR   t   sympy.stats.drv_typesR   t   sympy.stats.joint_rvR   R   t   sympy.stats.rvR   R   R   R"   R'   (    (    (    s9   lib/python2.7/site-packages/sympy/stats/tests/test_mix.pyt   <module>   s   4"		