Ë
    P/æji  ã                   ój   — d dl mZ d dlZd dlmZ d dlmZ d dlmZ d dl	m
Z
 dgZd„ Z G d	„ de«      Zy)
é    )ÚNumberN)Úconstraints)ÚExponentialFamily)Úbroadcast_all)Ú_sizeÚGammac                 ó,   — t        j                  | «      S ©N)ÚtorchÚ_standard_gamma)Úconcentrations    ú\/root/repos/pocs/video-evals/.venv/lib/python3.12/site-packages/torch/distributions/gamma.pyr   r      s   € Ü× Ñ  Ó/Ð/ó    c                   ó   ‡ — e Zd ZdZej
                  ej
                  dœZej                  ZdZ	dZ
ed„ «       Zed„ «       Zed„ «       Zdˆ fd„	Zdˆ fd	„	Z ej$                  «       fd
edej(                  fd„Zd„ Zd„ Zed„ «       Zd„ Zd„ Zˆ xZS )r   aC  
    Creates a Gamma distribution parameterized by shape :attr:`concentration` and :attr:`rate`.

    Example::

        >>> # xdoctest: +IGNORE_WANT("non-deterministic")
        >>> m = Gamma(torch.tensor([1.0]), torch.tensor([1.0]))
        >>> m.sample()  # Gamma distributed with concentration=1 and rate=1
        tensor([ 0.1046])

    Args:
        concentration (float or Tensor): shape parameter of the distribution
            (often referred to as alpha)
        rate (float or Tensor): rate = 1 / scale of the distribution
            (often referred to as beta)
    ©r   ÚrateTr   c                 ó4   — | j                   | j                  z  S r
   r   ©Úselfs    r   Úmeanz
Gamma.mean+   s   € à×!Ñ! D§I¡IÑ-Ð-r   c                 óZ   — | j                   dz
  | j                  z  j                  d¬«      S )Né   r   ©Úmin)r   r   Úclampr   s    r   Úmodez
Gamma.mode/   s*   € à×#Ñ# aÑ'¨4¯9©9Ñ4×;Ñ;ÀÐ;ÓBÐBr   c                 óR   — | j                   | j                  j                  d«      z  S )Né   )r   r   Úpowr   s    r   ÚvariancezGamma.variance3   s    € à×!Ñ! D§I¡I§M¡M°!Ó$4Ñ4Ð4r   c                 óø   •— t        ||«      \  | _        | _        t        |t        «      r%t        |t        «      rt        j                  «       }n| j                  j                  «       }t        ‰| �%  ||¬«       y )N©Úvalidate_args)
r   r   r   Ú
isinstancer   r   ÚSizeÚsizeÚsuperÚ__init__)r   r   r   r#   Úbatch_shapeÚ	__class__s        €r   r(   zGamma.__init__7   s]   ø€ Ü(5°mÀTÓ(JÑ%ˆÔ˜DœIÜ�m¤VÔ,´¸DÄ&Ô1IÜŸ*™*›,‰Kà×,Ñ,×1Ñ1Ó3ˆKÜ‰Ñ˜°MÐÕBr   c                 ó*  •— | j                  t        |«      }t        j                  |«      }| j                  j                  |«      |_        | j                  j                  |«      |_        t        t        |�#  |d¬«       | j                  |_	        |S )NFr"   )
Ú_get_checked_instancer   r   r%   r   Úexpandr   r'   r(   Ú_validate_args)r   r)   Ú	_instanceÚnewr*   s       €r   r-   zGamma.expand?   sy   ø€ Ø×(Ñ(¬°	Ó:ˆÜ—j‘j Ó-ˆØ ×.Ñ.×5Ñ5°kÓBˆÔØ—9‘9×#Ñ# KÓ0ˆŒÜŒe�SÑ" ;¸eÐ"ÔDØ!×0Ñ0ˆÔØˆ
r   Úsample_shapeÚreturnc                 ó6  — | j                  |«      }t        | j                  j                  |«      «      | j                  j                  |«      z  }|j                  «       j                  t        j                  |j                  «      j                  ¬«       |S )Nr   )Ú_extended_shaper   r   r-   r   ÚdetachÚclamp_r   ÚfinfoÚdtypeÚtiny)r   r1   ÚshapeÚvalues       r   ÚrsamplezGamma.rsampleH   s   € Ø×$Ñ$ \Ó2ˆÜ × 2Ñ 2× 9Ñ 9¸%Ó @ÓAÀDÇIÁI×DTÑDTØóE
ñ 
ˆð 	�‰‹×ÑÜ—‘˜EŸK™KÓ(×-Ñ-ð 	ô 	
ð ˆr   c                 ó¸  — t        j                  || j                  j                  | j                  j                  ¬«      }| j
                  r| j                  |«       t        j                  | j                  | j                  «      t        j                  | j                  dz
  |«      z   | j                  |z  z
  t        j                  | j                  «      z
  S )N)r8   Údevicer   )
r   Ú	as_tensorr   r8   r>   r.   Ú_validate_sampleÚxlogyr   Úlgamma©r   r;   s     r   Úlog_probzGamma.log_probR   s¢   € Ü—‘ ¨T¯Y©Y¯_©_ÀTÇYÁY×EUÑEUÔVˆØ×ÒØ×!Ñ! %Ô(ä�K‰K˜×*Ñ*¨D¯I©IÓ6Ü�k‰k˜$×,Ñ,¨qÑ0°%Ó8ñ9à�i‰i˜%Ññ ô �l‰l˜4×-Ñ-Ó.ñ/ð	
r   c                 óú   — | j                   t        j                  | j                  «      z
  t        j                  | j                   «      z   d| j                   z
  t        j
                  | j                   «      z  z   S )Ng      ð?)r   r   Úlogr   rB   Údigammar   s    r   ÚentropyzGamma.entropy]   sf   € à×ÑÜ�i‰i˜Ÿ	™	Ó"ñ#ä�l‰l˜4×-Ñ-Ó.ñ/ð �T×'Ñ'Ñ'¬5¯=©=¸×9KÑ9KÓ+LÑLñMð	
r   c                 ó:   — | j                   dz
  | j                   fS ©Nr   r   r   s    r   Ú_natural_paramszGamma._natural_paramse   s   € à×"Ñ" QÑ&¨¯©¨
Ð3Ð3r   c                 óˆ   — t        j                  |dz   «      |dz   t        j                  |j                  «        «      z  z   S rJ   )r   rB   rF   Ú
reciprocal)r   ÚxÚys      r   Ú_log_normalizerzGamma._log_normalizeri   s4   € Ü�|‰|˜A ™EÓ" a¨!¡e¬u¯y©y¸!¿,¹,».¸Ó/IÑ%IÑIÐIr   c                 óª   — | j                   r| j                  |«       t        j                  j	                  | j
                  | j                  |z  «      S r
   )r.   r@   r   ÚspecialÚgammaincr   r   rC   s     r   Úcdfz	Gamma.cdfl   s?   € Ø×ÒØ×!Ñ! %Ô(Ü�}‰}×%Ñ% d×&8Ñ&8¸$¿)¹)ÀeÑ:KÓLÐLr   r
   )Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   ÚpositiveÚarg_constraintsÚnonnegativeÚsupportÚhas_rsampleÚ_mean_carrier_measureÚpropertyr   r   r    r(   r-   r   r%   r   ÚTensorr<   rD   rH   rK   rP   rT   Ú__classcell__)r*   s   @r   r   r      sÐ   ø„ ñð" %×-Ñ-Ø×$Ñ$ñ€Oð ×%Ñ%€GØ€KØÐàñ.ó ð.ð ñCó ðCð ñ5ó ð5õCõð -7¨E¯J©J«Lñ  Eð ¸U¿\¹\ó ò	
ò
ð ñ4ó ð4òJöMr   )Únumbersr   r   Útorch.distributionsr   Útorch.distributions.exp_familyr   Útorch.distributions.utilsr   Útorch.typesr   Ú__all__r   r   © r   r   ú<module>ri      s6   ðå ã Ý +Ý <Ý 3Ý ð ˆ)€ò0ô]MÐõ ]Mr   