o
    h                     @   s~   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	 d dl
mZmZ d dlmZmZ dgZG d	d de	ZdS )
    N)OptionalUnion)Tensor)constraints)ExponentialFamily)_standard_normalbroadcast_all)_Number_sizeNormalc                	       s(  e Zd ZdZejejdZejZdZ	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eeef deeef dee ddf fddZd' fdd	Ze fddZe fdedefddZdd Zdd Zdd  Zd!d" Zede eef f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-deterministic")
        >>> 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   returnc                 C      | j S Nr   self r   `/home/www/facesmatcher.com/frenv_anti/lib/python3.10/site-packages/torch/distributions/normal.pymean'      zNormal.meanc                 C   r   r   r   r   r   r   r   mode+   r   zNormal.modec                 C   r   r   )r   r   r   r   r   stddev/   r   zNormal.stddevc                 C   s   | j dS N   )r   powr   r   r   r   variance3   s   zNormal.varianceNr   r   validate_argsc                    sN   t ||\| _| _t|trt|trt }n| j }t j	||d d S )Nr   )
r   r   r   
isinstancer	   torchSizesizesuper__init__)r   r   r   r   batch_shape	__class__r   r   r%   7   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$   r%   _validate_args)r   r&   Z	_instancenewr'   r   r   r)   D   s   
zNormal.expandc                 C   sR   |  |}t  t| j|| j|W  d    S 1 s"w   Y  d S r   )_extended_shaper!   Zno_gradnormalr   r)   r   )r   sample_shapeshaper   r   r   sampleM   s   

$zNormal.sampler.   c                 C   s0   |  |}t|| jj| jjd}| j|| j  S )N)dtypedevice)r,   r   r   r1   r2   r   )r   r.   r/   epsr   r   r   rsampleR   s   
zNormal.rsamplec                 C   sn   | j r| | | jd }t| jtrt| 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_probW   s   


zNormal.log_probc                 C   s<   | j r| | ddt|| j | j  td   S )N      ?   r   )	r*   r5   r!   erfr   r   
reciprocalr6   r8   r   r:   r   r   r   cdfg   s
   
&z
Normal.cdfc                 C   s(   | j | jtd| d  td  S )Nr   r>   )r   r   r!   Zerfinvr6   r8   rA   r   r   r   icdfn      (zNormal.icdfc                 C   s$   ddt dt j   t| j S )Nr=   r   )r6   r7   r9   r!   r   r   r   r   r   entropyq   s   $zNormal.entropyc                 C   s&   | j | jd d| jd  fS )Nr   g      )r   r   r   r@   r   r   r   r   _natural_paramst   s   &zNormal._natural_paramsc                 C   s(   d| d | dttj |   S )Ng      пr   r=   )r   r!   r7   r6   r9   )r   xyr   r   r   _log_normalizerx   rD   zNormal._log_normalizerr   )$__name__
__module____qualname____doc__r   realZpositiveZarg_constraintsZsupportZhas_rsampleZ_mean_carrier_measurepropertyr   r   r   r   r   r   floatr   boolr%   r)   r!   r"   r0   r
   r4   r<   rB   rC   rE   tuplerF   rI   __classcell__r   r   r'   r   r      sD    

	)r6   typingr   r   r!   r   Ztorch.distributionsr   Ztorch.distributions.exp_familyr   Ztorch.distributions.utilsr   r   Ztorch.typesr	   r
   __all__r   r   r   r   r   <module>   s   