o
    hZ	                     @   sf   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 deZdS )	    N)inf)constraints)Cauchy)TransformedDistribution)AbsTransform
HalfCauchyc                       s   e Zd ZdZdejiZejZdZ	d fdd	Z
d fdd	Zed	d
 Zedd Zedd Zedd Zdd Zdd Zdd Zdd Z  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-deterinistic")
        >>> 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                    s&   t d|dd}t j|t |d d S )Nr   F)validate_args)r   super__init__r   )selfr   r	   	base_dist	__class__ U/var/www/html/ai/venv/lib/python3.10/site-packages/torch/distributions/half_cauchy.pyr   "   s   zHalfCauchy.__init__c                    s   |  t|}t j||dS )N)	_instance)_get_checked_instancer   r
   expand)r   batch_shaper   newr   r   r   r   &   s   zHalfCauchy.expandc                 C      | j jS N)r   r   r   r   r   r   r   *      zHalfCauchy.scalec                 C   s    t j|  tj| jj| jjdS )Ndtypedevice)torchfull_extended_shapemathr   r   r   r   r   r   r   r   mean.   s   zHalfCauchy.meanc                 C   s   t | jS r   )r   
zeros_liker   r   r   r   r   mode7   s   zHalfCauchy.modec                 C   r   r   )r   variancer   r   r   r   r%   ;   r   zHalfCauchy.variancec                 C   sZ   | j r| | tj|| jjj| jjjd}| j|t	
d }t|dk|t }|S )Nr      r   )_validate_args_validate_sampler   	as_tensorr   r   r   r   log_probr!   logwherer   )r   valuer*   r   r   r   r*   ?   s   
zHalfCauchy.log_probc                 C   s$   | j r| | d| j| d S )Nr&      )r'   r(   r   cdf)r   r-   r   r   r   r/   I   s   
zHalfCauchy.cdfc                 C   s   | j |d d S )Nr.   r&   )r   icdf)r   probr   r   r   r0   N      zHalfCauchy.icdfc                 C   s   | j  td S )Nr&   )r   entropyr!   r+   r   r   r   r   r3   Q   r2   zHalfCauchy.entropyr   )__name__
__module____qualname____doc__r   positivearg_constraintsnonnegativesupporthas_rsampler   r   propertyr   r"   r$   r%   r*   r/   r0   r3   __classcell__r   r   r   r   r      s&    





)r!   r   r   torch.distributionsr   torch.distributions.cauchyr   ,torch.distributions.transformed_distributionr   torch.distributions.transformsr   __all__r   r   r   r   r   <module>   s    