Ë
    P/æjw	  ã                   ól   — d dl 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 dl	m
Z
 dgZ G d„ de«      Zy)	é    N)Úinf)Úconstraints)ÚCauchy)ÚTransformedDistribution)ÚAbsTransformÚ
HalfCauchyc                   óÀ   ‡ — e Zd ZdZdej
                  iZej                  ZdZ	dˆ fd„	Z
dˆ fd„	Zed„ «       Zed„ «       Zed„ «       Zed	„ «       Zd
„ Zd„ Zd„ Zd„ Zˆ xZS )r   a´  
    Creates a half-Cauchy distribution parameterized by `scale` where::

        X ~ Cauchy(0, scale)
        Y = |X| ~ HalfCauchy(scale)

    Example::

        >>> # xdoctest: +IGNORE_WANT("non-deterministic")
        >>> m = HalfCauchy(torch.tensor([1.0]))
        >>> m.sample()  # half-cauchy distributed with scale=1
        tensor([ 2.3214])

    Args:
        scale (float or Tensor): scale of the full Cauchy distribution
    ÚscaleTc                 óV   •— t        d|d¬«      }t        ‰| �	  |t        «       |¬«       y )Nr   F)Úvalidate_args)r   ÚsuperÚ__init__r   )Úselfr
   r   Ú	base_distÚ	__class__s       €úb/root/repos/pocs/video-evals/.venv/lib/python3.12/site-packages/torch/distributions/half_cauchy.pyr   zHalfCauchy.__init__$   s'   ø€ Ü˜1˜e°5Ô9ˆ	Ü‰Ñ˜¤L£NÀ-ÐÕPó    c                 óR   •— | j                  t        |«      }t        ‰| �  ||¬«      S )N)Ú	_instance)Ú_get_checked_instancer   r   Úexpand)r   Úbatch_shaper   Únewr   s       €r   r   zHalfCauchy.expand(   s(   ø€ Ø×(Ñ(¬°YÓ?ˆÜ‰w‰~˜k°Sˆ~Ó9Ð9r   c                 ó.   — | j                   j                  S ©N)r   r
   ©r   s    r   r
   zHalfCauchy.scale,   s   € à�~‰~×#Ñ#Ð#r   c                 ó¼   — t        j                  | j                  «       t        j                  | j
                  j                  | j
                  j                  ¬«      S )N©ÚdtypeÚdevice)ÚtorchÚfullÚ_extended_shapeÚmathr   r
   r   r    r   s    r   ÚmeanzHalfCauchy.mean0   s@   € ä�z‰zØ× Ñ Ó"Ü�H‰HØ—*‘*×"Ñ"Ø—:‘:×$Ñ$ô	
ð 	
r   c                 ó@   — t        j                  | j                  «      S r   )r!   Ú
zeros_liker
   r   s    r   ÚmodezHalfCauchy.mode9   s   € ä×Ñ §
¡
Ó+Ð+r   c                 ó.   — | j                   j                  S r   )r   Úvariancer   s    r   r*   zHalfCauchy.variance=   s   € à�~‰~×&Ñ&Ð&r   c                 óˆ  — | j                   r| j                  |«       t        j                  || j                  j
                  j                  | j                  j
                  j                  ¬«      }| j                  j                  |«      t        j                  d«      z   }t        j                  |dk\  |t         «      }|S )Nr   é   r   )Ú_validate_argsÚ_validate_sampler!   Ú	as_tensorr   r
   r   r    Úlog_probr$   ÚlogÚwherer   )r   Úvaluer0   s      r   r0   zHalfCauchy.log_probA   sŽ   € Ø×ÒØ×!Ñ! %Ô(Ü—‘Ø˜Ÿ™×-Ñ-×3Ñ3¸D¿N¹N×<PÑ<P×<WÑ<Wô
ˆð —>‘>×*Ñ*¨5Ó1´D·H±H¸Q³KÑ?ˆÜ—;‘;˜u¨™z¨8´c°TÓ:ˆØˆr   c                 ó~   — | j                   r| j                  |«       d| j                  j                  |«      z  dz
  S )Nr,   é   )r-   r.   r   Úcdf)r   r3   s     r   r6   zHalfCauchy.cdfK   s8   € Ø×ÒØ×!Ñ! %Ô(Ø�4—>‘>×%Ñ% eÓ,Ñ,¨qÑ0Ð0r   c                 óD   — | j                   j                  |dz   dz  «      S )Nr5   r,   )r   Úicdf)r   Úprobs     r   r8   zHalfCauchy.icdfP   s   € Ø�~‰~×"Ñ" D¨1¡H°¡>Ó2Ð2r   c                 ób   — | j                   j                  «       t        j                  d«      z
  S )Nr,   )r   Úentropyr$   r1   r   s    r   r;   zHalfCauchy.entropyS   s"   € Ø�~‰~×%Ñ%Ó'¬$¯(©(°1«+Ñ5Ð5r   r   )Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   ÚpositiveÚarg_constraintsÚnonnegativeÚsupportÚhas_rsampler   r   Úpropertyr
   r%   r(   r*   r0   r6   r8   r;   Ú__classcell__)r   s   @r   r   r      s™   ø„ ñð   × 4Ñ 4Ð5€OØ×%Ñ%€GØ€KõQõ:ð ñ$ó ð$ð ñ
ó ð
ð ñ,ó ð,ð ñ'ó ð'òò1ò
3ö6r   )r$   r!   r   Útorch.distributionsr   Útorch.distributions.cauchyr   Ú,torch.distributions.transformed_distributionr   Útorch.distributions.transformsr   Ú__all__r   © r   r   ú<module>rM      s2   ðã ã Ý Ý +Ý -Ý PÝ 7ð ˆ.€ôE6Ð(õ E6r   