
    [Th	                     p    S SK r S SKrS SKJrJr  S SKJr  S SKJr  S SKJ	r	  S SK
Jr  S/r " S S\	5      rg)	    N)infTensor)constraints)Cauchy)TransformedDistribution)AbsTransform
HalfCauchyc                      ^  \ rS rSrSrS\R                  0r\R                  r	Sr
SU 4S jjrSU 4S jjr\S\4S j5       r\S\4S	 j5       r\S\4S
 j5       r\S\4S j5       rS rS rS rS rSrU =r$ )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
scaleTc                 J   > [        SUSS9n[        TU ]	  U[        5       US9  g )Nr   F)validate_args)r   super__init__r   )selfr   r   	base_dist	__class__s       W/var/www/auris/envauris/lib/python3.13/site-packages/torch/distributions/half_cauchy.pyr   HalfCauchy.__init__%   s'    1e59	LN-P    c                 J   > U R                  [        U5      n[        TU ]  XS9$ )N)	_instance)_get_checked_instancer	   r   expand)r   batch_shaper   newr   s       r   r   HalfCauchy.expand)   s&    ((Y?w~k~99r   returnc                 .    U R                   R                  $ N)r   r   r   s    r   r   HalfCauchy.scale-   s    ~~###r   c                     [         R                  " U R                  5       [        R                  U R
                  R                  U R
                  R                  S9$ )Ndtypedevice)torchfull_extended_shapemathr   r   r%   r&   r!   s    r   meanHalfCauchy.mean1   s@    zz  "HH**""::$$	
 	
r   c                 B    [         R                  " U R                  5      $ r    )r'   
zeros_liker   r!   s    r   modeHalfCauchy.mode:   s    

++r   c                 .    U R                   R                  $ r    )r   variancer!   s    r   r2   HalfCauchy.variance>   s    ~~&&&r   c                    U R                   (       a  U R                  U5        [        R                  " XR                  R
                  R                  U R                  R
                  R                  S9nU R                  R                  U5      [        R                  " S5      -   n[        R                  " US:  U[        * 5      nU$ )Nr$      r   )_validate_args_validate_sampler'   	as_tensorr   r   r%   r&   log_probr*   logwherer   )r   valuer9   s      r   r9   HalfCauchy.log_probB   s    !!%(--33DNN<P<P<W<W
 >>**51DHHQK?;;uz8cT:r   c                     U R                   (       a  U R                  U5        SU R                  R                  U5      -  S-
  $ )Nr5      )r6   r7   r   cdf)r   r<   s     r   r@   HalfCauchy.cdfL   s8    !!%(4>>%%e,,q00r   c                 D    U R                   R                  US-   S-  5      $ )Nr?   r5   )r   icdf)r   probs     r   rC   HalfCauchy.icdfQ   s    ~~""D1H>22r   c                 d    U R                   R                  5       [        R                  " S5      -
  $ )Nr5   )r   entropyr*   r:   r!   s    r   rG   HalfCauchy.entropyT   s"    ~~%%'$((1+55r    r    )__name__
__module____qualname____firstlineno____doc__r   positivearg_constraintsnonnegativesupporthas_rsampler   r   propertyr   r   r+   r/   r2   r9   r@   rC   rG   __static_attributes____classcell__)r   s   @r   r	   r	      s    "  4 45O%%GKQ: $v $ $ 
f 
 
 ,f , , '& ' '1
36 6r   )r*   r'   r   r   torch.distributionsr   torch.distributions.cauchyr   ,torch.distributions.transformed_distributionr   torch.distributions.transformsr   __all__r	   rI   r   r   <module>r\      s2       + - P 7 .F6( F6r   