Ë
    P/æjî
  ã                   ó€   — d dl Z d dlmZ d dlZd dlmZ d dlmZ d dlm	Z	m
Z
 d dlmZ d dlmZmZ dgZ G d	„ de«      Zy)
é    N)ÚNumber)Úconstraints)ÚTransformedDistribution)ÚAffineTransformÚExpTransform)ÚUniform)Úbroadcast_allÚeuler_constantÚGumbelc                   óÆ   ‡ — e Zd ZdZej
                  ej                  dœZej
                  Zdˆ fd„	Z	dˆ fd„	Z
d„ Zed„ «       Zed„ «       Zed„ «       Zed	„ «       Zd
„ Zˆ xZS )r   a·  
    Samples from a Gumbel Distribution.

    Examples::

        >>> # xdoctest: +IGNORE_WANT("non-deterministic")
        >>> m = Gumbel(torch.tensor([1.0]), torch.tensor([2.0]))
        >>> m.sample()  # sample from Gumbel distribution with loc=1, scale=2
        tensor([ 1.0124])

    Args:
        loc (float or Tensor): Location parameter of the distribution
        scale (float or Tensor): Scale parameter of the distribution
    ©ÚlocÚscalec                 óÎ  •— t        ||«      \  | _        | _        t        j                  | j                  j
                  «      }t        |t        «      r6t        |t        «      r&t        |j                  d|j                  z
  |¬«      }nat        t        j                  | j                  |j                  «      t        j                  | j                  d|j                  z
  «      |¬«      }t        «       j                  t        dt        j                  | j                  «       ¬«      t        «       j                  t        || j                   ¬«      g}t         ‰| �E  |||¬«       y )Né   )Úvalidate_argsr   r   )r	   r   r   ÚtorchÚfinfoÚdtypeÚ
isinstancer   r   ÚtinyÚepsÚ	full_liker   Úinvr   Ú	ones_likeÚsuperÚ__init__)Úselfr   r   r   r   Ú	base_distÚ
transformsÚ	__class__s          €ú]/root/repos/pocs/video-evals/.venv/lib/python3.12/site-packages/torch/distributions/gumbel.pyr   zGumbel.__init__"   s÷   ø€ Ü,¨S°%Ó8ÑˆŒ�$”*Ü—‘˜DŸH™HŸN™NÓ+ˆÜ�cœ6Ô"¤z°%¼Ô'@Ü §
¡
¨A°·	±	©MÈÔW‰IäÜ—‘ §¡¨%¯*©*Ó5Ü—‘ §¡¨!¨e¯i©i©-Ó8Ø+ôˆIô ‹N×ÑÜ ¬%¯/©/¸$¿*¹*Ó*EÐ)EÔFÜ‹N×ÑÜ ¨D¯J©J¨;Ô7ð	
ˆ
ô 	‰Ñ˜ J¸mÐÕLó    c                 óÒ   •— | j                  t        |«      }| j                  j                  |«      |_        | j                  j                  |«      |_        t
        ‰| �  ||¬«      S )N)Ú	_instance)Ú_get_checked_instancer   r   Úexpandr   r   )r   Úbatch_shaper%   Únewr!   s       €r"   r'   zGumbel.expand5   sR   ø€ Ø×(Ñ(¬°Ó;ˆØ—(‘(—/‘/ +Ó.ˆŒØ—J‘J×%Ñ% kÓ2ˆŒ	Ü‰w‰~˜k°Sˆ~Ó9Ð9r#   c                 óÐ   — | j                   r| j                  |«       | j                  |z
  | j                  z  }||j	                  «       z
  | j                  j                  «       z
  S ©N)Ú_validate_argsÚ_validate_sampler   r   ÚexpÚlog)r   ÚvalueÚys      r"   Úlog_probzGumbel.log_prob<   sP   € Ø×ÒØ×!Ñ! %Ô(Ø�X‰X˜Ñ §¡Ñ+ˆØ�A—E‘E“G‘˜tŸz™zŸ~™~Ó/Ñ/Ð/r#   c                 óB   — | j                   | j                  t        z  z   S r+   )r   r   r
   ©r   s    r"   ÚmeanzGumbel.meanB   s   € à�x‰x˜$Ÿ*™*¤~Ñ5Ñ5Ð5r#   c                 ó   — | j                   S r+   )r   r4   s    r"   ÚmodezGumbel.modeF   s   € à�x‰xˆr#   c                 óh   — t         j                  t        j                  d«      z  | j                  z  S )Né   )ÚmathÚpiÚsqrtr   r4   s    r"   ÚstddevzGumbel.stddevJ   s"   € ä—‘œ$Ÿ)™) A›,Ñ&¨$¯*©*Ñ4Ð4r#   c                 ó8   — | j                   j                  d«      S )Né   )r=   Úpowr4   s    r"   ÚvariancezGumbel.varianceN   s   € à�{‰{�‰˜qÓ!Ð!r#   c                 óJ   — | j                   j                  «       dt        z   z   S )Nr   )r   r/   r
   r4   s    r"   ÚentropyzGumbel.entropyR   s   € Ø�z‰z�~‰~Ó 1¤~Ñ#5Ñ6Ð6r#   r+   )Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   ÚrealÚpositiveÚarg_constraintsÚsupportr   r'   r2   Úpropertyr5   r7   r=   rA   rC   Ú__classcell__)r!   s   @r"   r   r      s�   ø„ ñð *×.Ñ.¸×9MÑ9MÑN€OØ×Ñ€GõMõ&:ò0ð ñ6ó ð6ð ñó ðð ñ5ó ð5ð ñ"ó ð"ö7r#   )r:   Únumbersr   r   Útorch.distributionsr   Ú,torch.distributions.transformed_distributionr   Útorch.distributions.transformsr   r   Útorch.distributions.uniformr   Útorch.distributions.utilsr	   r
   Ú__all__r   © r#   r"   ú<module>rV      s5   ðã Ý ã Ý +Ý Pß HÝ /ß Cð ˆ*€ôC7Ð$õ C7r#   