U
    9%e                     @   sb   d dl Z d dlmZmZ d dlZd dlmZ d dlmZ d dl	m
Z
mZ dgZG dd deZdS )    N)NumberReal)constraints)ExponentialFamily)_standard_normalbroadcast_allNormalc                       s   e Zd ZdZejejdZejZdZ	dZ
edd Zedd Zed	d
 Zedd Zd" fdd	Zd# fdd	Ze fddZe fddZdd Zdd Zdd Zdd Zedd Zd d! Z  ZS )$r   a*  
    Creates a normal (also called Gaussian) distribution parameterized by
    :attr:`loc` and :attr:`scale`.

    Example::

        >>> # xdoctest: +IGNORE_WANT("non-deterinistic")
        >>> m = Normal(torch.tensor([0.0]), torch.tensor([1.0]))
        >>> m.sample()  # normally distributed with loc=0 and scale=1
        tensor([ 0.1046])

    Args:
        loc (float or Tensor): mean of the distribution (often referred to as mu)
        scale (float or Tensor): standard deviation of the distribution
            (often referred to as sigma)
    )locscaleTr   c                 C   s   | j S Nr	   self r   Y/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/torch/distributions/normal.pymean"   s    zNormal.meanc                 C   s   | j S r   r   r   r   r   r   mode&   s    zNormal.modec                 C   s   | j S r   )r
   r   r   r   r   stddev*   s    zNormal.stddevc                 C   s   | j dS N   )r   powr   r   r   r   variance.   s    zNormal.varianceNc                    sN   t ||\| _| _t|tr0t|tr0t }n
| j }t j	||d d S )Nvalidate_args)
r   r	   r
   
isinstancer   torchSizesizesuper__init__)r   r	   r
   r   batch_shape	__class__r   r   r   2   s
    

zNormal.__init__c                    sR   |  t|}t|}| j||_| j||_tt|j|dd | j	|_	|S )NFr   )
Z_get_checked_instancer   r   r   r	   expandr
   r   r   _validate_args)r   r    Z	_instancenewr!   r   r   r#   :   s    
zNormal.expandc              
   C   sF   |  |}t * t| j|| j|W  5 Q R  S Q R X d S r   )_extended_shaper   Zno_gradnormalr	   r#   r
   )r   sample_shapeshaper   r   r   sampleC   s    

zNormal.samplec                 C   s0   |  |}t|| jj| jjd}| j|| j  S )N)dtypedevice)r&   r   r	   r+   r,   r
   )r   r(   r)   Zepsr   r   r   rsampleH   s    
zNormal.rsamplec                 C   sn   | j r| | | jd }t| jtr2t| jn| j }|| j d  d|  | ttdtj	  S r   )
r$   _validate_sampler
   r   r   mathlogr	   sqrtpi)r   valuevarZ	log_scaler   r   r   log_probM   s    

 zNormal.log_probc                 C   s<   | j r| | ddt|| j | j  td   S )N      ?   r   )	r$   r.   r   erfr	   r
   
reciprocalr/   r1   r   r3   r   r   r   cdf[   s
    
&z
Normal.cdfc                 C   s(   | j | jtd| d  td  S )Nr   r7   )r	   r
   r   Zerfinvr/   r1   r:   r   r   r   icdfb   s    zNormal.icdfc                 C   s$   ddt dt j   t| j S )Nr6   r   )r/   r0   r2   r   r
   r   r   r   r   entropye   s    zNormal.entropyc                 C   s&   | j | jd d| jd  fS )Nr   g      )r	   r
   r   r9   r   r   r   r   _natural_paramsh   s    zNormal._natural_paramsc                 C   s(   d| d | dttj |   S )Ng      пr   r6   )r   r   r0   r/   r2   )r   xyr   r   r   _log_normalizerl   s    zNormal._log_normalizer)N)N)__name__
__module____qualname____doc__r   realZpositiveZarg_constraintsZsupportZhas_rsampleZ_mean_carrier_measurepropertyr   r   r   r   r   r#   r   r   r*   r-   r5   r;   r<   r=   r>   rA   __classcell__r   r   r!   r   r      s0   



	
)r/   numbersr   r   r   Ztorch.distributionsr   Ztorch.distributions.exp_familyr   Ztorch.distributions.utilsr   r   __all__r   r   r   r   r   <module>   s   