o
    Zh	                     @   sj   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 de	ZdS )	    N)infTensor)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	efd
dZed	efddZed	efddZed	ef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
    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__ N/var/www/auris/lib/python3.10/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returnc                 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fullZ_extended_shapemathr   r	   r   r   r   r   r   r   mean1   s   zHalfCauchy.meanc                 C   s   t | jS r   )r   Z
zeros_liker	   r   r   r   r   mode:   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   Z	as_tensorr   r	   r   r   log_probr    logwherer   )r   valuer'   r   r   r   r'   B   s   
zHalfCauchy.log_probc                 C   s$   | j r| | d| j| d S )Nr$      )r%   r&   r   cdf)r   r*   r   r   r   r,   L   s   
zHalfCauchy.cdfc                 C   s   | j |d d S )Nr+   r$   )r   icdf)r   Zprobr   r   r   r-   Q      zHalfCauchy.icdfc                 C   s   | j  td S )Nr$   )r   entropyr    r(   r   r   r   r   r/   T   r.   zHalfCauchy.entropyr   )__name__
__module____qualname____doc__r   ZpositiveZarg_constraintsZnonnegativeZsupportZhas_rsampler   r   propertyr   r	   r!   r"   r#   r'   r,   r-   r/   __classcell__r   r   r   r   r      s&    

)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   