o
    Zh!                     @   sJ   d dl Z d dl mZ d dlmZmZ d dlmZ dgZG dd deZdS )    N)Tensor)Categoricalconstraints)DistributionMixtureSameFamilyc                       s   e Zd ZU dZi Zeeejf e	d< dZ
	d"dededdf fdd	Zd" fd
d	Zej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e fddZdd Zdd Zd d! Z  ZS )#r   a  
    The `MixtureSameFamily` distribution implements a (batch of) mixture
    distribution where all component are from different parameterizations of
    the same distribution type. It is parameterized by a `Categorical`
    "selecting distribution" (over `k` component) and a component
    distribution, i.e., a `Distribution` with a rightmost batch shape
    (equal to `[k]`) which indexes each (batch of) component.

    Examples::

        >>> # xdoctest: +SKIP("undefined vars")
        >>> # Construct Gaussian Mixture Model in 1D consisting of 5 equally
        >>> # weighted normal distributions
        >>> mix = D.Categorical(torch.ones(5,))
        >>> comp = D.Normal(torch.randn(5,), torch.rand(5,))
        >>> gmm = MixtureSameFamily(mix, comp)

        >>> # Construct Gaussian Mixture Model in 2D consisting of 5 equally
        >>> # weighted bivariate normal distributions
        >>> mix = D.Categorical(torch.ones(5,))
        >>> comp = D.Independent(D.Normal(
        ...          torch.randn(5,2), torch.rand(5,2)), 1)
        >>> gmm = MixtureSameFamily(mix, comp)

        >>> # Construct a batch of 3 Gaussian Mixture Models in 2D each
        >>> # consisting of 5 random weighted bivariate normal distributions
        >>> mix = D.Categorical(torch.rand(3,5))
        >>> comp = D.Independent(D.Normal(
        ...         torch.randn(3,5,2), torch.rand(3,5,2)), 1)
        >>> gmm = MixtureSameFamily(mix, comp)

    Args:
        mixture_distribution: `torch.distributions.Categorical`-like
            instance. Manages the probability of selecting component.
            The number of categories must match the rightmost batch
            dimension of the `component_distribution`. Must have either
            scalar `batch_shape` or `batch_shape` matching
            `component_distribution.batch_shape[:-1]`
        component_distribution: `torch.distributions.Distribution`-like
            instance. Right-most batch dimension indexes component.
    arg_constraintsFNmixture_distributioncomponent_distributionreturnc                    s  || _ || _t| j tstdt| jtstd| j j}| jjd d }tt|t|D ]\}}|dkrJ|dkrJ||krJtd| d| dq/| j j	j
d }| jjd }	|d uro|	d uro||	krotd| d	|	 d|| _| jj}
t|
| _t j||
|d
 d S )NzU The Mixture distribution needs to be an  instance of torch.distributions.CategoricalzUThe Component distribution need to be an instance of torch.distributions.Distribution   z$`mixture_distribution.batch_shape` (z>) is not compatible with `component_distribution.batch_shape`()z"`mixture_distribution component` (z;) does not equal `component_distribution.batch_shape[-1]` (batch_shapeevent_shapevalidate_args)_mixture_distribution_component_distribution
isinstancer   
ValueErrorr   r   zipreversedlogitsshape_num_componentr   len_event_ndimssuper__init__)selfr   r	   r   ZmdbsZcdbsZsize1Zsize2kmkcr   	__class__ V/var/www/auris/lib/python3.10/site-packages/torch/distributions/mixture_same_family.pyr   :   sD   

zMixtureSameFamily.__init__c                    sx   t |}|| jf }| t|}| j||_| j||_| j|_| j|_|jj	}t
t|j||dd | j|_|S )NFr   )torchSizer   Z_get_checked_instancer   r   expandr   r   r   r   r   _validate_args)r   r   Z	_instanceZbatch_shape_compnewr   r"   r$   r%   r(   k   s   

zMixtureSameFamily.expandc                 C   s   | j jS N)r   supportr   r$   r$   r%   r,   |   s   zMixtureSameFamily.supportc                 C      | j S r+   )r   r-   r$   r$   r%   r         z&MixtureSameFamily.mixture_distributionc                 C   r.   r+   )r   r-   r$   r$   r%   r	      r/   z(MixtureSameFamily.component_distributionc                 C   s*   |  | jj}tj|| jj d| j dS Nr   dim)_pad_mixture_dimensionsr   probsr&   sumr	   meanr   )r   r4   r$   r$   r%   r6      s   zMixtureSameFamily.meanc                 C   s`   |  | jj}tj|| jj d| j d}tj|| jj| 	| j 
d d| j d}|| S )Nr   r1   g       @)r3   r   r4   r&   r5   r	   variancer   r6   _padpow)r   r4   Zmean_cond_varZvar_cond_meanr$   r$   r%   r7      s   zMixtureSameFamily.variancec                 C   s0   |  |}| j|}| jj}tj|| ddS r0   )r8   r	   cdfr   r4   r&   r5   )r   xZcdf_xZmix_probr$   r$   r%   r:      s   
zMixtureSameFamily.cdfc                 C   sJ   | j r| | | |}| j|}tj| jjdd}tj	|| ddS r0   )
r)   Z_validate_sampler8   r	   log_probr&   Zlog_softmaxr   r   Z	logsumexp)r   r;   Z
log_prob_xZlog_mix_probr$   r$   r%   r<      s   

zMixtureSameFamily.log_probc              	   C   s   t  Y t|}t| j}|| }| j}| j|}|j}| j|}|	|t 
dgt|d   }	|	t 
dgt| t 
dg | }	t |||	}
|
|W  d    S 1 s`w   Y  d S )Nr   )r&   Zno_gradr   r   r   r   sampler   r	   reshaper'   repeatgatherZsqueeze)r   Zsample_shapeZ
sample_lenZ	batch_lenZ
gather_dimesZ
mix_sampleZ	mix_shapeZcomp_samplesZmix_sample_rZsamplesr$   r$   r%   r=      s"   

"$zMixtureSameFamily.samplec                 C   s   | d| j S )Nr   )Z	unsqueezer   )r   r;   r$   r$   r%   r8      s   zMixtureSameFamily._padc                 C   st   t | j}t | jj}|dkrdn|| }|j}||d d t|dg  |dd   t| jdg  }|S )Nr   r   r   )r   r   r   r   r>   r&   r'   r   )r   r;   Zdist_batch_ndimsZcat_batch_ndimsZ	pad_ndimsZxsr$   r$   r%   r3      s   


z)MixtureSameFamily._pad_mixture_dimensionsc                 C   s    d| j  d| j }d| d S )Nz
  z,
  zMixtureSameFamily(r   )r   r	   )r   args_stringr$   r$   r%   __repr__   s   zMixtureSameFamily.__repr__r+   ) __name__
__module____qualname____doc__r   dictstrr   
Constraint__annotations__Zhas_rsampler   r   r   r(   Zdependent_propertyr,   propertyr   r	   r   r6   r7   r:   r<   r&   r'   r=   r8   r3   rC   __classcell__r$   r$   r"   r%   r      s:   
 *1

)	r&   r   Ztorch.distributionsr   r   Z torch.distributions.distributionr   __all__r   r$   r$   r$   r%   <module>   s   