
    קgw	                     t    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dS )	    N)inf)constraints)Cauchy)TransformedDistribution)AbsTransform
HalfCauchyc                        e Zd ZdZdej        iZej        ZdZ	d fd	Z
d fd	Zed             Zed             Zed	             Zed
             Zd Zd Zd Zd Z 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
    scaleTNc                     t          d|d          }t                                          |t                      |           d S )Nr   F)validate_args)r   super__init__r   )selfr
   r   	base_dist	__class__s       [/var/www/html/ai-engine/env/lib/python3.11/site-packages/torch/distributions/half_cauchy.pyr   zHalfCauchy.__init__$   s@    1e5999	LNN-PPPPP    c                     |                      t          |          }t                                          ||          S )N)	_instance)_get_checked_instancer   r   expand)r   batch_shaper   newr   s       r   r   zHalfCauchy.expand(   s2    ((Y??ww~~kS~999r   c                     | j         j        S N)r   r
   r   s    r   r
   zHalfCauchy.scale,   s    ~##r   c                     t          j        |                                 t          j        | j        j        | j        j                  S )Ndtypedevice)torchfull_extended_shapemathr   r
   r   r    r   s    r   meanzHalfCauchy.mean0   s?    z  ""H*":$	
 
 
 	
r   c                 4    t          j        | j                  S r   )r!   
zeros_liker
   r   s    r   modezHalfCauchy.mode9   s    
+++r   c                     | j         j        S r   )r   variancer   s    r   r*   zHalfCauchy.variance=   s    ~&&r   c                 F   | j         r|                     |           t          j        || j        j        j        | j        j        j                  }| j                            |          t          j
        d          z   }t          j        |dk    |t                     }|S )Nr      r   )_validate_args_validate_sampler!   	as_tensorr   r
   r   r    log_probr$   logwherer   )r   valuer0   s      r   r0   zHalfCauchy.log_probA   s     	)!!%(((-3DN<P<W
 
 
 >**511DHQKK?;uz8cT::r   c                 z    | j         r|                     |           d| j                            |          z  dz
  S )Nr,      )r-   r.   r   cdf)r   r3   s     r   r6   zHalfCauchy.cdfK   sA     	)!!%(((4>%%e,,,q00r   c                 B    | j                             |dz   dz            S )Nr5   r,   )r   icdf)r   probs     r   r8   zHalfCauchy.icdfP   s     ~""D1H>222r   c                 ^    | j                                         t          j        d          z
  S )Nr,   )r   entropyr$   r1   r   s    r   r;   zHalfCauchy.entropyS   s#    ~%%''$(1++55r   r   )__name__
__module____qualname____doc__r   positivearg_constraintsnonnegativesupporthas_rsampler   r   propertyr
   r%   r(   r*   r0   r6   r8   r;   __classcell__)r   s   @r   r   r      s/           45O%GKQ Q Q Q Q Q: : : : : : $ $ X$ 
 
 X
 , , X, ' ' X'  1 1 1
3 3 36 6 6 6 6 6 6r   )r$   r!   r   torch.distributionsr   torch.distributions.cauchyr   ,torch.distributions.transformed_distributionr   torch.distributions.transformsr   __all__r    r   r   <module>rM      s            + + + + + + - - - - - - P P P P P P 7 7 7 7 7 7 .E6 E6 E6 E6 E6( E6 E6 E6 E6 E6r   