
    /jN
                     x    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 )	    N)infTensor)constraints)Cauchy)TransformedDistribution)AbsTransform
HalfCauchyc                       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 fdZd 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 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
    scaleT	base_distNvalidate_argsreturnc                     t          d|d          }t                                          |t                      |           d S )Nr   F)r   )r   super__init__r   )selfr   r   r   	__class__s       d/home/longshao/multi-rider-rag/.venv/lib/python3.11/site-packages/torch/distributions/half_cauchy.pyr   zHalfCauchy.__init__(   sB    
 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.expand0   s2    ((Y??ww~~kS~999r   c                     | j         j        S N)r   r   r   s    r   r   zHalfCauchy.scale4   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.mean8   s?    z  ""H*":$	
 
 
 	
r   c                 4    t          j        | j                  S r   )r#   
zeros_liker   r   s    r   modezHalfCauchy.modeA   s    
+++r   c                     | j         j        S r   )r   variancer   s    r   r,   zHalfCauchy.varianceE   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   valuer2   s      r   r2   zHalfCauchy.log_probI   s     	)!!%(((-3DN<P<W
 
 
 >**511DHQKK?;uz8cT::r   c                 z    | j         r|                     |           d| j                            |          z  dz
  S )Nr.      )r/   r0   r   cdf)r   r5   s     r   r8   zHalfCauchy.cdfS   sA     	)!!%(((4>%%e,,,q00r   c                 B    | j                             |dz   dz            S )Nr7   r.   )r   icdf)r   probs     r   r:   zHalfCauchy.icdfX   s     ~""D1H>222r   c                 ^    | j                                         t          j        d          z
  S )Nr.   )r   entropyr&   r3   r   s    r   r=   zHalfCauchy.entropy[   s#    ~%%''$(1++55r   r   )__name__
__module____qualname____doc__r   positivearg_constraintsnonnegativesupporthas_rsampler   __annotations__r   floatboolr   r   propertyr   r'   r*   r,   r2   r8   r:   r=   __classcell__)r   s   @r   r	   r	      s         "  45O%GK
 &*Q Q~Q d{Q 
	Q Q Q Q Q Q: : : : : : $v $ $ $ X$ 
f 
 
 
 X
 ,f , , , X, '& ' ' ' X'  1 1 1
3 3 36 6 6 6 6 6 6r   )r&   r#   r   r   torch.distributionsr   torch.distributions.cauchyr   ,torch.distributions.transformed_distributionr   torch.distributions.transformsr   __all__r	    r   r   <module>rR      s              + + + + + + - - - - - - P P P P P P 7 7 7 7 7 7 .M6 M6 M6 M6 M6( M6 M6 M6 M6 M6r   