o
    ,ic                  &   @   s  d dl mZmZmZmZmZ d dlZd dlmZ ddlm	Z	m
Z
mZmZmZmZmZmZmZmZmZmZmZmZmZ ddgZG dd deZd	d
e de de	 de d	 e_dee dee dee dee dee dee dededededededededededef"ddZdee dee dee dee dee dee dededededededededededef"d d!Zeed"	#		#	#	#	#d&dee dee dee dee dee dee ded$ee dedededededededededef$d%dZdS )'    )castListOptionalTupleUnionN)Tensor   )_capturable_doc_default_to_fused_or_foreach_differentiable_doc_disable_dynamo_if_unsupported_dispatch_sqrt_foreach_doc!_get_capturable_supported_devices_get_scalar_dtype
_get_value_maximize_doc_stack_if_compiling_use_grad_for_differentiable_view_as_real	OptimizerParamsTNAdamnadamc                       s   e Zd Z						ddddddd	ed
edeeef dededededee dededef fddZ fddZ	dd Z
edddZ  ZS )r   Mb`?g?g+?:0yE>r   Mbp?FN)foreachmaximize
capturabledifferentiableparamslrbetasepsweight_decaymomentum_decaydecoupled_weight_decayr   r   r    r!   c                   s   d|kst d| d|kst d| d|d   kr"dk s,n t d|d  d|d   kr8dk sBn t d|d  d|ksMt d	| d|ksXt d
| t|||||||	||
|d
}t || d S )N        zInvalid learning rate: zInvalid epsilon value: r         ?z#Invalid beta parameter at index 0: r   z#Invalid beta parameter at index 1: zInvalid weight_decay value: zInvalid momentum_decay value: )
r#   r$   r%   r&   r'   r(   r   r   r    r!   )
ValueErrordictsuper__init__)selfr"   r#   r$   r%   r&   r'   r(   r   r   r    r!   defaults	__class__ O/home/ubuntu/SoloSpeech/.venv/lib/python3.10/site-packages/torch/optim/nadam.pyr.      s2   zNAdam.__init__c                    s  t  | | jD ]|}|dd |dd  |dd |dd |dd |d D ]W}| j|g }t|dkrt|d	 sat	|d	 }|d rWtj
|t |jd
ntj
|t d|d	< t|d s|d }|d rztj
|t |jd
ntj
|t d|d< q-q	d S )Nr   Fr   r    r!   r(   r"   r   stepdtypedevicer7   
mu_product)r-   __setstate__param_groups
setdefaultstategetlentorch	is_tensorfloattensorr   r8   )r/   r>   grouppp_statestep_valmu_prod_valr1   r3   r4   r;   E   s:   


zNAdam.__setstate__c                 C   s*  d}|d D ]}	|	j d ur|t|	O }||	 |	j jr!td||	j  | j|	 }
t|
dkrv|d r@tjdt	 |	j
dntjdt	 d	|
d
< |d rXtjdt	 |	j
dntjdt	 d	|
d< tj|	tjd|
d< tj|	tjd|
d< ||
d  ||
d  ||
d  ||
d
  q|S )NFr"   z'NAdam does not support sparse gradientsr   r    r3   r6   r)   r9   r5   r*   r:   )memory_formatexp_avg
exp_avg_sq)gradrA   
is_complexappend	is_sparseRuntimeErrorr>   r@   zerosr   r8   rD   ones
zeros_likepreserve_format)r/   rE   params_with_gradgradsexp_avgsexp_avg_sqsmu_productsstate_stepshas_complexrF   r>   r3   r3   r4   _init_groupc   s<   





zNAdam._init_groupc                 C   s   |    d}|dur!t  | }W d   n1 sw   Y  | jD ]N}g }g }g }g }g }g }	ttttf |d \}
}| |||||||	}t||||||	|
||d |d |d |d |d |d |d	 |d
 |d |d q$|S )zPerforms a single optimization step.

        Args:
            closure (Callable, optional): A closure that reevaluates the model
                and returns the loss.
        Nr$   r#   r&   r'   r%   r   r(   r   r    r!   )beta1beta2r#   r&   r'   r%   r   r(   r   r    r!   r\   )	 _cuda_graph_capture_health_checkrA   enable_gradr<   r   r   rC   r]   r   )r/   closurelossrE   rV   rW   rX   rY   rZ   r[   r^   r_   r\   r3   r3   r4   r5      sX   


z
NAdam.step)r   r   r   r   r   FN)__name__
__module____qualname__r   rC   r   boolr   r.   r;   r]   r   r5   __classcell__r3   r3   r1   r4   r      sN    


)2a  Implements NAdam algorithm.

    .. math::
       \begin{aligned}
            &\rule{110mm}{0.4pt}                                                                 \\
            &\textbf{input}      : \gamma_t \text{ (lr)}, \: \beta_1,\beta_2 \text{ (betas)},
                \: \theta_0 \text{ (params)}, \: f(\theta) \text{ (objective)}                   \\
            &\hspace{13mm} \: \lambda \text{ (weight decay)}, \:\psi \text{ (momentum decay)}    \\
            &\hspace{13mm} \: \textit{decoupled\_weight\_decay}, \:\textit{maximize}             \\
            &\textbf{initialize} :  m_0 \leftarrow 0 \text{ ( first moment)},
                v_0 \leftarrow 0 \text{ ( second moment)}                                 \\[-1.ex]
            &\rule{110mm}{0.4pt}                                                                 \\
            &\textbf{for} \: t=1 \: \textbf{to} \: \ldots \: \textbf{do}                         \\
            &\hspace{5mm}\textbf{if} \: \textit{maximize}:                                       \\
            &\hspace{10mm}g_t           \leftarrow   -\nabla_{\theta} f_t (\theta_{t-1})         \\
            &\hspace{5mm}\textbf{else}                                                           \\
            &\hspace{10mm}g_t           \leftarrow   \nabla_{\theta} f_t (\theta_{t-1})          \\
            &\hspace{5mm} \theta_t \leftarrow \theta_{t-1}                                       \\
            &\hspace{5mm} \textbf{if} \: \lambda \neq 0                                          \\
            &\hspace{10mm}\textbf{if} \: \textit{decoupled\_weight\_decay}                       \\
            &\hspace{15mm} \theta_t \leftarrow \theta_{t-1} - \gamma \lambda \theta_{t-1}                    \\
            &\hspace{10mm}\textbf{else}                                                          \\
            &\hspace{15mm} g_t \leftarrow g_t + \lambda \theta_{t-1}                             \\
            &\hspace{5mm} \mu_t \leftarrow \beta_1 \big(1 - \frac{1}{2}  0.96^{t \psi} \big)     \\
            &\hspace{5mm} \mu_{t+1} \leftarrow \beta_1 \big(1 - \frac{1}{2} 0.96^{(t+1)\psi}\big)\\
            &\hspace{5mm}m_t           \leftarrow   \beta_1 m_{t-1} + (1 - \beta_1) g_t          \\
            &\hspace{5mm}v_t           \leftarrow   \beta_2 v_{t-1} + (1-\beta_2) g^2_t          \\
            &\hspace{5mm}\widehat{m_t} \leftarrow \mu_{t+1} m_t/(1-\prod_{i=1}^{t+1}\mu_i)\\[-1.ex]
            & \hspace{11mm} + (1-\mu_t) g_t /(1-\prod_{i=1}^{t} \mu_{i})                         \\
            &\hspace{5mm}\widehat{v_t} \leftarrow   v_t/\big(1-\beta_2^t \big)                   \\
            &\hspace{5mm}\theta_t \leftarrow \theta_t - \gamma \widehat{m_t}/
                \big(\sqrt{\widehat{v_t}} + \epsilon \big)                                       \\
            &\rule{110mm}{0.4pt}                                                          \\[-1.ex]
            &\bf{return} \:  \theta_t                                                     \\[-1.ex]
            &\rule{110mm}{0.4pt}                                                          \\[-1.ex]
       \end{aligned}

    For further details regarding the algorithm we refer to `Incorporating Nesterov Momentum into Adam`_.
    a  
    Args:
        params (iterable): iterable of parameters to optimize or dicts defining
            parameter groups
        lr (float, optional): learning rate (default: 2e-3)
        betas (Tuple[float, float], optional): coefficients used for computing
            running averages of gradient and its square (default: (0.9, 0.999))
        eps (float, optional): term added to the denominator to improve
            numerical stability (default: 1e-8)
        weight_decay (float, optional): weight decay (L2 penalty) (default: 0)
        momentum_decay (float, optional): momentum momentum_decay (default: 4e-3)
        decoupled_weight_decay (bool, optional): whether to use decoupled weight
            decay as in AdamW to obtain NAdamW (default: False)
        z	
        z

    .. _Incorporating Nesterov Momentum into Adam:
        https://openreview.net/forum?id=OM0jvwB8jIp57ZJjtNEZ
    .. _Decoupled Weight Decay Regularization:
        https://arxiv.org/abs/1711.05101

    r"   rW   rX   rY   rZ   r[   r^   r_   r#   r&   r'   r%   r(   r   r    r!   r\   c                C   sZ  t | D ]%\}}|s|| n||  }|| }|| }|| }|| }t|r=t|}t|}t|}t|}tj sg|rgt }|jj|jj  krW|jjkr_n n|jj|v sgJ d| d|d7 }|rp|}nt	|}d||  }|	dkr|r|
d||	   n|j||	d}|ddd||
     }|ddd|d |
     }||9 }||d|  |
|j||d| d	 || }|s|r||}|| }|| d|  d|   }|| | d|   }||| ||| qt	|| }|| |j||| d|  dt	|  d	 |j||| | d|  d	 qd S )
NzVIf capturable=True, params, mu_products and state_steps must be on supported devices: .r   r   alphar*         ?Q?)value)	enumeraterA   rN   view_as_real_utilsis_compilingr   r8   typer   mul_addlerp_addcmul_divsqrtaddcdiv_add_)r"   rW   rX   rY   rZ   r[   r^   r_   r#   r&   r'   r%   r(   r   r    r!   r\   iparamrM   rK   rL   r:   step_tcapturable_supported_devicesr5   bias_correction2mumu_nextdenommu_product_nextr3   r3   r4   _single_tensor_nadam  sd   




$

r   c          "         s~  t | dkrd S |rJ dtj s1|r1tddtfddt| ||D s1J d dt| |||||g}|	 D ]{\\}}}}}}}|rTt
|||| |r[t|}|d jrntj|tjd	d
dd	d nt|d |	dkr|rt|d|	   n|rtj|||	d ntj|||	d}t||d   t| t|||d  t|}|rt|}td|}t|d t|d	 t|  t| td|}t|d t|d	 t|  ~t|}t|d	 t| t| nfdd|D } fdd|D } fdd|D }t|| t|| t|| ~|rt|d	 t| t|d	}t| t|| |}~t||}t| t|d	 t|| |} ~t||}!t|!| | t||!| q@tfddt||D }tfddt||D } t|||| t||||  q@d S )Nr   z#_foreach ops don't support autogradF)supports_xlac                 3   sF    | ]\}}}|j j|j j  ko|j jkn  o|j j v V  qd S rd   )r8   rt   ).0rF   mpr5   )r   r3   r4   	<genexpr>  s    $

z&_multi_tensor_nadam.<locals>.<genexpr>zWIf capturable=True, params, mu_products, and state_steps must be on supported devices: rj   r*   cpu)r8   rk   r   rn   g      c                    s    g | ]}t d  t|  qS )r   )r   r   r   r5   )r_   r3   r4   
<listcomp>  s    z'_multi_tensor_nadam.<locals>.<listcomp>c                    s(   g | ]} d ddt |     qS )r*   rm   rn   r   r   r^   r'   r3   r4   r     s    c                    s,   g | ]} d ddt |d      qS )r*   rm   rn   r   r   r   r   r3   r4   r     s    c                    s0   g | ]\}}t  d |  d t |  d qS r*   r   )r   r:   r   r#   r3   r4   r      s    c                    s0   g | ]\}}t  | d t ||   d qS r   r   )r   r:   r   r   r3   r4   r   &  s    )r@   rA   rr   rs   r   allzipr   "_group_tensors_by_device_and_dtypevaluesr   _foreach_negis_cpu_foreach_add_rD   _foreach_mul__foreach_add_foreach_lerp__foreach_addcmul__foreach_sqrt_foreach_mul_foreach_pow_foreach_sub__foreach_neg__foreach_sqrt__foreach_div__foreach_sub_foreach_addcdiv_r   )"r"   rW   rX   rY   rZ   r[   r^   r_   r#   r&   r'   r%   r(   r   r    r!   r\   grouped_tensorsgrouped_paramsgrouped_gradsgrouped_exp_avgsgrouped_exp_avg_sqsgrouped_mu_productsgrouped_state_steps_exp_avg_sq_sqrtexponentmusmu_nextsbias_correction_sqrtr   step_size_gradsstep_size_expavg	numeratorr3   )r^   r_   r   r#   r'   r4   _multi_tensor_nadamp  s   












 r   )single_tensor_fnFr   c                C   s   t dd |D stdt dd |D std|du r't| |	dd\}}|r2tj r2td	|r<tj s<t}nt}|| |||||||||||||||	|
d
 dS )zpFunctional API that performs NAdam algorithm computation.

    See :class:`~torch.optim.NAdam` for details.
    c                 s       | ]	}t |tjV  qd S rd   
isinstancerA   r   r   tr3   r3   r4   r   V      znadam.<locals>.<genexpr>zPAPI has changed, `state_steps` argument must contain a list of singleton tensorsc                 s   r   rd   r   r   r3   r3   r4   r   [  r   zPAPI has changed, `mu_products` argument must contain a list of singleton tensorsNF)	use_fusedz6torch.jit.script not supported with foreach optimizers)r^   r_   r#   r&   r'   r   r(   r%   r    r!   r\   )r   rQ   r
   rA   jitis_scriptingr   r   )r"   rW   rX   rY   rZ   r[   r(   r   r    r!   r\   r   r^   r_   r#   r&   r'   r%   r   funcr3   r3   r4   r   9  sH   

)FNFFFF) typingr   r   r   r   r   rA   r   	optimizerr	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   __all__r   __doc__rC   rh   r   r   r   r3   r3   r3   r4   <module>   s  D 6'C	

^	

 J
	
