§
    ŠŠtjN
  ã                   óx   — d dl Z d dlZd dlmZ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dS )	é    N)ÚinfÚTensor)Úconstraints)ÚCauchy)ÚTransformedDistribution)ÚAbsTransformÚ
HalfCauchyc                   ó  ‡ — e Zd ZU dZdej        iZej        ZdZ	e
ed<   	 ddeez  dedz  ddfˆ fd„Zdˆ fd	„	Zedefd
„¦   «         Zedefd„¦   «         Zedefd„¦   «         Zedef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scaleTÚ	base_distNÚvalidate_argsÚreturnc                 óŒ   •— t          d|d¬¦  «        }t          ¦   «                              |t          ¦   «         |¬¦  «         d S )Nr   F)r   )r   ÚsuperÚ__init__r   )Úselfr   r   r   Ú	__class__s       €ú]/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/torch/distributions/half_cauchy.pyr   zHalfCauchy.__init__(   sB   ø€ õ
 ˜1˜e°5Ð9Ñ9Ô9ˆ	Ý‰Œ×Ò˜¥L¡N¤NÀ-ÐÑPÔPÐPÐPÐPó    c                 ó€   •— |                       t          |¦  «        }t          ¦   «                              ||¬¦  «        S )N)Ú	_instance)Ú_get_checked_instancer	   r   Úexpand)r   Úbatch_shaper   Únewr   s       €r   r   zHalfCauchy.expand0   s2   ø€ Ø×(Ò(­°YÑ?Ô?ˆÝ‰wŒw�~Š~˜k°Sˆ~Ñ9Ô9Ð9r   c                 ó   — | j         j        S ©N)r   r   ©r   s    r   r   zHalfCauchy.scale4   s   € àŒ~Ô#Ð#r   c                 ó’   — t          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.mean8   s?   € åŒzØ× Ò Ñ"Ô"ÝŒHØ”*Ô"Ø”:Ô$ð	
ñ 
ô 
ð 	
r   c                 ó4   — t          j        | j        ¦  «        S r   )r#   Ú
zeros_liker   r   s    r   ÚmodezHalfCauchy.modeA   s   € åÔ ¤
Ñ+Ô+Ð+r   c                 ó   — | j         j        S r   )r   Úvariancer   s    r   r,   zHalfCauchy.varianceE   s   € àŒ~Ô&Ð&r   c                 óF  — | j         r|                      |¦  «         t          j        || j        j        j        | j        j        j        ¬¦  «        }| j                             |¦  «        t          j
        d¦  «        z   }t          j        |dk    |t           ¦  «        }|S )Nr    é   r   )Ú_validate_argsÚ_validate_sampler#   Ú	as_tensorr   r   r!   r"   Úlog_probr&   ÚlogÚwherer   )r   Úvaluer2   s      r   r2   zHalfCauchy.log_probI   s�   € ØÔð 	)Ø×!Ò! %Ñ(Ô(Ð(Ý”Ø˜œÔ-Ô3¸D¼NÔ<PÔ<Wð
ñ 
ô 
ˆð ”>×*Ò*¨5Ñ1Ô1µD´H¸Q±K´KÑ?ˆÝ”;˜u¨šz¨8µc°TÑ:Ô:ˆØˆr   c                 óz   — | j         r|                      |¦  «         d| j                             |¦  «        z  dz
  S )Nr.   é   )r/   r0   r   Úcdf)r   r5   s     r   r8   zHalfCauchy.cdfS   sA   € ØÔð 	)Ø×!Ò! %Ñ(Ô(Ð(Ø�4”>×%Ò% eÑ,Ô,Ñ,¨qÑ0Ð0r   c                 óB   — | j                              |dz   dz  ¦  «        S )Nr7   r.   )r   Úicdf)r   Úprobs     r   r:   zHalfCauchy.icdfX   s    € ØŒ~×"Ò" D¨1¡H°¡>Ñ2Ô2Ð2r   c                 ó^   — | j                              ¦   «         t          j        d¦  «        z
  S )Nr.   )r   Úentropyr&   r3   r   s    r   r=   zHalfCauchy.entropy[   s#   € ØŒ~×%Ò%Ñ'Ô'­$¬(°1©+¬+Ñ5Ð5r   r   )Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   ÚpositiveÚarg_constraintsÚnonnegativeÚsupportÚhas_rsampler   Ú__annotations__r   ÚfloatÚboolr   r   Úpropertyr   r'   r*   r,   r2   r8   r:   r=   Ú__classcell__)r   s   @r   r	   r	      sŸ  ø€ € € € € € ðð ð"  Ô 4Ð5€OàÔ%€GØ€KàÐÐÑð
 &*ðQð Qà˜‰~ðQð ˜d‘{ðQð 
ð	Qð Qð Qð Qð Qð Qð:ð :ð :ð :ð :ð :ð ð$�vð $ð $ð $ñ „Xð$ð ð
�fð 
ð 
ð 
ñ „Xð
ð ð,�fð ,ð ,ð ,ñ „Xð,ð ð'˜&ð 'ð 'ð 'ñ „Xð'ðð ð ð1ð 1ð 1ð
3ð 3ð 3ð6ð 6ð 6ð 6ð 6ð 6ð 6r   )r&   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>rR      s¿   ðà €€€à €€€Ø Ð Ð Ð Ð Ð Ð Ð Ø +Ð +Ð +Ð +Ð +Ð +Ø -Ð -Ð -Ð -Ð -Ð -Ø PÐ PÐ PÐ PÐ PÐ PØ 7Ð 7Ð 7Ð 7Ð 7Ð 7ð ˆ.€ðM6ð M6ð M6ð M6ð M6Ð(ñ M6ô M6ð M6ð M6ð M6r   