+
    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HtHtHtHt ^ RIHtHtHt ^ RIHtHt ]! R4      t]R 4       t]P9                  ]4      R R	 l4       t]P9                  ]4      R
 R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]	4      R R l4       t]P9                  ]
4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R R l4       t]P9                  ]4      R  R! l4       t]P9                  ]4      R" R# l4       t]P9                  ]4      R$ R% l4       t]P9                  ]4      R& R' l4       t]P9                  ]4      R( R) l4       t]P9                  ]4      R* R+ l4       t]P9                  ]4      R, R- l4       tR.# )/    )singledispatch)import_module)BetaDistributionChiSquaredDistributionExponentialDistributionGammaDistributionLogNormalDistributionNormalDistributionParetoDistributionUniformDistributionFDistributionDistributionGumbelDistributionLaplaceDistributionLogisticDistributionRayleighDistributionTriangularDistribution)GeometricDistributionPoissonDistributionZetaDistribution)BinomialDistributionHypergeometricDistributionnumpyc                     R # )N distsize
rand_states   &&&_/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/stats/sampling/sample_numpy.pydo_sample_numpyr       s        c                $    V ^8  d   QhR\         /#    r   )r   )formats   "r   __annotate__r&      s     O O Or!   c                 v    VP                  \        V P                  4      \        V P                   4      VR 7      # ))abr   )betafloatalphar   s   &&&r   _r-      s)    ??U4::.%		2B?NNr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&      s     = =" =r!   c                 N    VP                  \        V P                  4      VR 7      # ))dfr   )	chisquarer+   kr   s   &&&r   r-   r-      s     5=t<<r!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&       s     C C# Cr!   c                 \    VP                  ^\        V P                  4      ,          VR7      # )   )r   )exponentialr+   rater   s   &&&r   r-   r-      s&    !!!eDII&6"6T!BBr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   $   s     S S% Sr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # ))dfnumdfdenr   )fr+   d1d2r   s   &&&r   r-   r-   #   s'    <<dggdggT<RRr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   (   s     Y Y Yr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # ))shapescaler   )gammar+   r2   thetar   s   &&&r   r-   r-   '   s,    E$&&M5;LSWXXr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   ,   s     X X Xr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # )locrB   r   )gumbelr+   mur*   r   s   &&&r   r-   r-   +   s,    5>5;KRVWWr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   0   s     V V Vr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # rG   )laplacer+   rJ   r)   r   s   &&&r   r-   r-   /   s+    E$''NE$&&MPTUUr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   4   s     W W  Wr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # rG   )logisticr+   rJ   sr   s   &&&r   r-   r-   3   s+    U477^U466]QUVVr!   c                $    V ^8  d   QhR\         /# r#   )r	   )r%   s   "r   r&   r&   8   s     ] ]! ]r!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # ))meansigmar   )	lognormalr+   rT   stdr   s   &&&r   r-   r-   7   s,    uTYY'7txxW[\\r!   c                $    V ^8  d   QhR\         /# r#   )r
   )r%   s   "r   r&   r&   <   s     Y Y Yr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # rG   )normalr+   rT   rW   r   s   &&&r   r-   r-   ;   s,    5#3U488_SWXXr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   @   s     E E  Er!   c                 N    VP                  \        V P                  4      VR 7      # ))rB   r   )rayleighr+   rU   r   s   &&&r   r-   r-   ?   s!    uTZZ'8tDDr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   D   s     V V Vr!   c                     \         P                  P                  \        V P                  4      VR 7      ^,           \        V P
                  4      ,          # )r(   r   )r   randomparetor+   r,   xmr   s   &&&r   r-   r-   C   s7    LL%

"3$?!CuTWW~UUr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   H   s     o o" or!   c                     VP                  \        V P                  4      \        V P                  4      \        V P                  4      VR 7      # ))leftmoderightr   )
triangularr+   r(   r)   cr   s   &&&r   r-   r-   G   s:      dffeDFFmUZ[_[a[aUbim nnr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   L   s     W W Wr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # ))lowhighr   )uniformr+   rf   rh   r   s   &&&r   r-   r-   K   s-    %		"2tzz9JQUVVr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   S   s     < <! <r!   c                 N    VP                  \        V P                  4      VR 7      # ))pr   )	geometricr+   rr   r   s   &&&r   r-   r-   R   s     %-d;;r!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   X   s     @ @ @r!   c                 N    VP                  \        V P                  4      VR 7      # ))lamr   )poissonr+   lamdar   s   &&&r   r-   r-   W   s!    %

"3$??r!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   ]   s     7 7 7r!   c                 N    VP                  \        V P                  4      VR 7      # r`   )zipfr+   rQ   r   s   &&&r   r-   r-   \   s    ??U466]?66r!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   d   s     J J  Jr!   c                 v    VP                  \        V P                  4      \        V P                  4      VR 7      # ))nrr   r   )binomialintr~   r+   rr   r   s   &&&r   r-   r-   c   s*    TVVdffDIIr!   c                $    V ^8  d   QhR\         /# r#   )r   )r%   s   "r   r&   r&   h   s     p p& pr!   c                     VP                  \        V P                  4      \        V P                  4      \        V P                  4      VR 7      # ))ngoodnbadnsampler   )hypergeometricr   Nmr~   r   s   &&&r   r-   r-   g   s:    $$S[TVVX[\`\b\bXcjn$oor!   N)	functoolsr   sympy.externalr   sympy.stats.crv_typesr   r   r   r   r	   r
   r   r   r   r   r   r   r   r   sympy.stats.drv_typesr   r   r   sympy.stats.frv_typesr   r   r   r    registerr-   r   r!   r   <module>r      s   $ (G G G G _ ^ R 	g   *+O ,O 01= 2= 12C 3C 34S 5S +,Y -Y ,-X .X -.V /V ./W 0W /0] 1] ,-Y .Y ./E 0E ,-V .V 01o 2o -.W /W /0< 1< -.@ /@ *+7 ,7 ./J 0J 45p 6pr!   