+
    i                        ^ RI Ht ^ RIHt ^ RIHtHtHtHtH	t	H
t
HtHtHtHt ^ RIHtHtHt ^ RIHtHt  ^ RIt]R 4       t]P3                  ]4      R	 R
 l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]	4      R R l4       t]P3                  ]
4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R l4       t]P3                  ]4      R R  l4       t]P3                  ]4      R! R" l4       t]P3                  ]4      R# R$ l4       t]P3                  ]4      R% R& l4       tR#   ] d    ]! R4      t ELi ; i)'    )singledispatch)import_module)
BetaDistributionCauchyDistributionChiSquaredDistributionExponentialDistributionGammaDistributionLogNormalDistributionNormalDistributionParetoDistributionUniformDistributionGaussianInverseDistribution)PoissonDistributionGeometricDistributionNegativeBinomialDistribution)BinomialDistributionBernoulliDistributionNpymc3c                     R # )N dists   &^/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/stats/sampling/sample_pymc.pydo_sample_pymcr      s        c                $    V ^8  d   QhR\         /#    r   )r   )formats   "r   __annotate__r       s     J J Jr   c                     \         P                  ! R \        V P                  4      \        V P                  4      R7      # X)alphabeta)pymcBetafloatr$   r%   r   s   &r   _r)      s'    99Sdjj 1dii8HIIr   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r       s     J J Jr   c                     \         P                  ! R \        V P                  4      \        V P                  4      R7      # r"   )r&   Cauchyr(   x0gammar   s   &r   r)   r)      s&    ;;s%.uTZZ7HIIr   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    !   s     2 2" 2r   c                 X    \         P                  ! R \        V P                  4      R7      # )r#   )nu)r&   
ChiSquaredr(   kr   s   &r   r)   r)       s    ??35=11r   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    &   s     7 7# 7r   c                 X    \         P                  ! R \        V P                  4      R7      # )r#   )lam)r&   Exponentialr(   rater   s   &r   r)   r)   %   s    CU499%566r   c                $    V ^8  d   QhR\         /# r   )r	   )r   s   "r   r    r    +   s     L L Lr   c                     \         P                  ! R \        V P                  4      ^\        V P                  4      ,          R7      # r"   )r&   Gammar(   r3   thetar   s   &r   r)   r)   *   s+    ::ctvvQtzz9J5JKKr   c                $    V ^8  d   QhR\         /# r   )r
   )r   s   "r   r    r    0   s     K K! Kr   c                     \         P                  ! R \        V P                  4      \        V P                  4      R7      # )r#   )musigma)r&   	Lognormalr(   meanstdr   s   &r   r)   r)   /   s&    >>#%		"2%/JJr   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    5   s     ? ? ?r   c                 ~    \         P                  ! R \        V P                  4      \        V P                  4      4      # )r#   )r&   Normalr(   rB   rC   r   s   &r   r)   r)   4   s&    ;;sE$)),eDHHo>>r   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    :   s     F F' Fr   c                     \         P                  ! R \        V P                  4      \        V P                  4      R7      # )r#   )r?   r6   )r&   Waldr(   rB   shaper   s   &r   r)   r)   9   s'    99SU499-53DEEr   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    ?   s     G G Gr   c                     \         P                  ! R \        V P                  4      \        V P                  4      R7      # )r#   )r$   m)r&   Paretor(   r$   xmr   s   &r   r)   r)   >   s&    ;;s%

"3uTWW~FFr   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    D   s     N N Nr   c                     \         P                  ! R \        V P                  4      \        V P                  4      R7      # )r#   )lowerupper)r&   Uniformr(   leftrightr   s   &r   r)   r)   C   s'    <<5#35;LMMr   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    K        0 0! 0r   c                 X    \         P                  ! R \        V P                  4      R7      # r#   )p)r&   	Geometricr(   r[   r   s   &r   r)   r)   J       >>#tvv//r   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    P   s     7 7( 7r   c                     \         P                  ! R \        V P                  V P                  ,          ^V P                  ,
          ,          4      \        V P                  4      R7      # )r#   )r?   r$   )r&   NegativeBinomialr(   r[   rr   s   &r   r)   r)   O   sB      AJ/O)P(-dff7 7r   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    V   s     3 3 3r   c                 X    \         P                  ! R \        V P                  4      R7      # )r#   )r?   )r&   Poissonr(   lamdar   s   &r   r)   r)   U   s    <<djj 122r   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    ]   rX   r   c                 X    \         P                  ! R \        V P                  4      R7      # rZ   )r&   	Bernoullir(   r[   r   s   &r   r)   r)   \   r]   r   c                $    V ^8  d   QhR\         /# r   )r   )r   s   "r   r    r    b   s     > >  >r   c                     \         P                  ! R \        V P                  4      \	        V P
                  4      R7      # )r#   )nr[   )r&   Binomialintrk   r(   r[   r   s   &r   r)   r)   a   s%    ==DFFuTVV}==r   )	functoolsr   sympy.externalr   sympy.stats.crv_typesr   r   r   r   r	   r
   r   r   r   r   sympy.stats.drv_typesr   r   r   sympy.stats.frv_typesr   r   r&   ImportErrorr   registerr)   r   r   r   <module>ru      sL   $ (      k j M"   )*J +J +,J -J /02 12 017 27 *+L ,L ./K 0K +,? -? 45F 6F +,G -G ,-N .N ./0 00 567 77
 ,-3 .3 ./0 00 -.> />m  "!D"s   G GG