Ë
    #täiY  ã                   ó€   — 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 dl
mZmZ d dlmZ d	gZ G d
„ d	e	«      Zy)é    N)ÚTensor)Úconstraints)ÚExponential)Úeuler_constant)ÚTransformedDistribution)ÚAffineTransformÚPowerTransform)Úbroadcast_allÚWeibullc            	       óè   ‡ — e Zd ZdZej
                  ej
                  dœZej
                  Z	 ddee	z  dee	z  de
dz  ddfˆ fd„Zdˆ fd	„	Zedefd
„«       Zedefd„«       Zedefd„«       Zd„ Zˆ xZS )r   aD  
    Samples from a two-parameter Weibull distribution.

    Example:

        >>> # xdoctest: +IGNORE_WANT("non-deterministic")
        >>> m = Weibull(torch.tensor([1.0]), torch.tensor([1.0]))
        >>> m.sample()  # sample from a Weibull distribution with scale=1, concentration=1
        tensor([ 0.4784])

    Args:
        scale (float or Tensor): Scale parameter of distribution (lambda).
        concentration (float or Tensor): Concentration parameter of distribution (k/shape).
        validate_args (bool, optional): Whether to validate arguments. Default: None.
    )ÚscaleÚconcentrationNr   r   Úvalidate_argsÚreturnc                 óH  •— t        ||«      \  | _        | _        | j                  j                  «       | _        t        t        j                  | j                  «      |¬«      }t        | j                  ¬«      t        d| j                  ¬«      g}t        ‰| �-  |||¬«       y )N©r   ©Úexponentr   ©Úlocr   )r
   r   r   Ú
reciprocalÚconcentration_reciprocalr   ÚtorchÚ	ones_liker	   r   ÚsuperÚ__init__)Úselfr   r   r   Ú	base_distÚ
transformsÚ	__class__s         €új/Volumes/fast/ai/experiments/MLX_z-image/.venv/lib/python3.12/site-packages/torch/distributions/weibull.pyr   zWeibull.__init__(   s‰   ø€ ô *7°u¸mÓ)LÑ&ˆŒ
�DÔ&Ø(,×(:Ñ(:×(EÑ(EÓ(GˆÔ%ÜÜ�O‰O˜DŸJ™JÓ'°}ô
ˆ	ô  D×$AÑ$AÔBÜ ¨¯©Ô4ð
ˆ
ô
 	‰Ñ˜ J¸mÐÕLó    c                 óÐ  •— | j                  t        |«      }| j                  j                  |«      |_        | j                  j                  |«      |_        |j                  j                  «       |_        | j                  j                  |«      }t        |j                  ¬«      t        d|j                  ¬«      g}t        t        |�/  ||d¬«       | j                  |_        |S )Nr   r   r   Fr   )Ú_get_checked_instancer   r   Úexpandr   r   r   r   r	   r   r   r   Ú_validate_args)r   Úbatch_shapeÚ	_instanceÚnewr   r   r    s         €r!   r%   zWeibull.expand:   s½   ø€ Ø×(Ñ(¬°)Ó<ˆØ—J‘J×%Ñ% kÓ2ˆŒ	Ø ×.Ñ.×5Ñ5°kÓBˆÔØ'*×'8Ñ'8×'CÑ'CÓ'EˆÔ$Ø—N‘N×)Ñ)¨+Ó6ˆ	ä C×$@Ñ$@ÔAÜ ¨¯©Ô3ð
ˆ
ô 	Œg�sÑ$ Y°
È%Ð$ÔPØ!×0Ñ0ˆÔØˆ
r"   c                 ó†   — | j                   t        j                  t        j                  d| j                  z   «      «      z  S ©Né   )r   r   ÚexpÚlgammar   ©r   s    r!   ÚmeanzWeibull.meanH   s.   € à�z‰zœEŸI™I¤e§l¡l°1°t×7TÑ7TÑ3TÓ&UÓVÑVÐVr"   c                 óŠ   — | j                   | j                  dz
  | j                  z  | j                  j                  «       z  z  S r+   )r   r   r   r/   s    r!   ÚmodezWeibull.modeL   sE   € ð �J‰JØ×"Ñ" QÑ&¨$×*<Ñ*<Ñ<Ø×!Ñ!×,Ñ,Ó.ñ/ñ/ð	
r"   c           	      ó  — | j                   j                  d«      t        j                  t        j                  dd| j
                  z  z   «      «      t        j                  dt        j                  d| j
                  z   «      z  «      z
  z  S )Né   r,   )r   Úpowr   r-   r.   r   r/   s    r!   ÚvariancezWeibull.varianceT   sl   € à�z‰z�~‰~˜aÓ Ü�I‰I”e—l‘l 1 q¨4×+HÑ+HÑ'HÑ#HÓIÓJÜ�i‰i˜œEŸL™L¨¨T×-JÑ-JÑ)JÓKÑKÓLñMñ
ð 	
r"   c                 óŽ   — t         d| j                  z
  z  t        j                  | j                  | j                  z  «      z   dz   S r+   )r   r   r   Úlogr   r/   s    r!   ÚentropyzWeibull.entropy[   sC   € ä˜a $×"?Ñ"?Ñ?Ñ@Ü�i‰i˜Ÿ
™
 T×%BÑ%BÑBÓCñDàñð	
r"   )N)Ú__name__Ú
__module__Ú__qualname__Ú__doc__r   ÚpositiveÚarg_constraintsÚsupportr   ÚfloatÚboolr   r%   Úpropertyr0   r2   r6   r9   Ú__classcell__)r    s   @r!   r   r      sÏ   ø„ ñð" ×%Ñ%Ø$×-Ñ-ñ€Oð
 ×"Ñ"€Gð &*ñ	Mà˜‰~ðMð  ‘~ðMð ˜d‘{ð	Mð
 
õMõ$ð ðW�fò Wó ðWð ð
�fò 
ó ð
ð ð
˜&ò 
ó ð
ö
r"   )r   r   Útorch.distributionsr   Útorch.distributions.exponentialr   Útorch.distributions.gumbelr   Ú,torch.distributions.transformed_distributionr   Útorch.distributions.transformsr   r	   Útorch.distributions.utilsr
   Ú__all__r   © r"   r!   Ú<module>rM      s7   ðó Ý Ý +Ý 7Ý 5Ý Pß JÝ 3ð ˆ+€ôP
Ð%õ P
r"   