a
    h0
                     @   sz   d dl Z d dlmZm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 deZdS )
    N)OptionalUnion)infTensor)constraints)Cauchy)TransformedDistribution)AbsTransform
HalfCauchyc                       s   e Zd ZU dZdejiZejZdZ	e
ed< deeef ee dd fddZd fd	d
	ZeedddZeedddZeedddZeed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-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)r   validate_argsreturnc                    s&   t d|dd}t j|t |d d S )Nr   F)r   )r   super__init__r	   )selfr   r   r   	__class__ M/var/www/auris/lib/python3.9/site-packages/torch/distributions/half_cauchy.pyr   '   s    zHalfCauchy.__init__c                    s   |  t|}t j||dS )N)	_instance)Z_get_checked_instancer
   r   expand)r   Zbatch_shaper   newr   r   r   r   /   s    zHalfCauchy.expand)r   c                 C   s   | j jS N)r   r   r   r   r   r   r   3   s    zHalfCauchy.scalec                 C   s    t j|  tj| jj| jjdS )Ndtypedevice)torchfullZ_extended_shapemathr   r   r   r   r   r   r   r   mean7   s    zHalfCauchy.meanc                 C   s   t | jS r   )r   Z
zeros_liker   r   r   r   r   mode@   s    zHalfCauchy.modec                 C   s   | j jS r   )r   variancer   r   r   r   r#   D   s    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   Z	as_tensorr   r   r   r   log_probr    logwherer   )r   valuer'   r   r   r   r'   H   s    
zHalfCauchy.log_probc                 C   s$   | j r| | d| j| d S )Nr$      )r%   r&   r   cdf)r   r*   r   r   r   r,   R   s    
zHalfCauchy.cdfc                 C   s   | j |d d S )Nr+   r$   )r   icdf)r   Zprobr   r   r   r-   W   s    zHalfCauchy.icdfc                 C   s   | j  td S )Nr$   )r   entropyr    r(   r   r   r   r   r.   Z   s    zHalfCauchy.entropy)N)N)__name__
__module____qualname____doc__r   ZpositiveZarg_constraintsZnonnegativeZsupportZhas_rsampler   __annotations__r   r   floatr   boolr   r   propertyr   r!   r"   r#   r'   r,   r-   r.   __classcell__r   r   r   r   r
      s0   

 

)r    typingr   r   r   r   r   Ztorch.distributionsr   Ztorch.distributions.cauchyr   Z,torch.distributions.transformed_distributionr   Ztorch.distributions.transformsr	   __all__r
   r   r   r   r   <module>   s   