o
    h*C                     @   s  d dl Z d dlmZmZmZmZmZmZ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mZ d dlmZmZ g dZe	ded ed ed	 f Zh d
Ze
jjjZdededede def
ddZ!de
j"de de
j"fddZ#	dfdede defddZ$dedeedf deedf defddZ%de&ded ee d!edede defd"d#Z'de&ded ee d!edede d$e defd%d&Z(de&ded ee d!edede defd'd(Z)eej*e 		)	dgded ee d!ededef
d*d+Z+eej,e 		)	dgded ee d!ededef
d,d-Z-eej.e 		)	dgded ee d!ededef
d.d/Z/eej0e 		)	dgded ee d!ededef
d0d1Z1eej2e 		)	dgded ee d!ededef
d2d3Z3eej4e 		)	dgded ee d!ededef
d4d5Z5G d6d7 d7eZ6ded8ee d!ee de6fd9d:Z7d;ee defd<d=Z8d>e&ded8eedf d!eedf dede defd?d@Z9eej:e 			dhdedAee d!ee dedef
dBdCZ;eej<e 			dhdedAee d!ee dedef
dDdEZ=eej>e 			dhdedAee d!ee dedef
dFdGZ?eej@e 			dhdedAee d!ee dedef
dHdIZAG dJdK dKeZBdLe&dedAee d!ee deBf
dMdNZCeejDe 			dhdedAee d!ee dedef
dOdPZEeejFe 			dhdedAee d!ee dedef
dQdRZGeejHe 		S	didedAee d!ee dedef
dTdUZIeejJe 		S	didedAee d!ee dedef
dVdWZKeejLe 		S	didedAee d!ee dedef
dXdYZMeejNe 		S	didedAee d!ee dedef
dZd[ZOeejPe 		S	didedAee d!ee dedef
d\d]ZQeejRe 		S	didedAee d!ee dedef
d^d_ZSd!ee dedee fd`daZTeejUdjded!ee defdbdcZVeejWdjded!ee defdddeZXdS )k    N)IterableListLiteral
NamedTupleOptionalSequenceTupleUnion)register_decomposition)DimsType	ShapeTypeTensorLikeType)_maybe_convert_to_dtypeout_wrapper)fftfft2fftnhffthfft2hfftnrfftrfft2rfftnifftifft2ifftnihfftihfft2ihfftnirfftirfft2irfftnfftshift	ifftshiftforwardbackwardortho>   Nr&   r$   r%   xnormsignal_numelreturnc                    sh   t  tv  fdd  dkr| dt|  S | r$ du p) dkp)|o) dk}|r2| d|  S | S )z3Apply normalization to the un-normalized FFT resultc                      s
   d  S )NzInvalid normalization mode:  r+   r(   r+   E/var/www/html/ai/venv/lib/python3.10/site-packages/torch/_refs/fft.py<lambda>.      
 z_apply_norm.<locals>.<lambda>r&      Nr%   r$   )torch_check_NORM_VALUESmathsqrt)r'   r(   r)   r$   	normalizer+   r,   r-   _apply_norm*   s   
r7   dtyperequire_complexc                 C   s*   | j r| S | jst } |rt| } | S )z@Helper to promote a dtype to one supported by the FFT primitives)
is_complexis_floating_pointr1   get_default_dtypeutilscorresponding_complex_dtype)r8   r9   r+   r+   r-   _promote_type_fft9   s   
r?   Ftc                 C   s   | j }t||}t| |S )zEHelper to promote a tensor to a dtype supported by the FFT primitives)r8   r?   r   )r@   r9   cur_typenew_typer+   r+   r-   _maybe_promote_tensor_fftH   s   

rC   dims.sizesc                 C   s   t |t |ks
J d}| j}dgt | d }tt |D ]B}|| dkr'q|||  || k rKd}t |d||   d }|| |||   ||< |||  || kr`| || d|| } q|rit| |S | S )z
    Fixes the shape of x such that x.size(dims[i]) == sizes[i],
    either by zero-padding, or by slicing x starting from 0.
    Fr      Tr0   )lenshaperangenarrowr1   constant_pad_nd)r'   rD   rE   	must_copyx_sizes
pad_amountipad_idxr+   r+   r-   _resize_fft_inputQ   s   rR   	func_nameinputndimc           	         s   t |dd}tj|j|ddf} dur nd|j| d  }t|dk fdd	  dur;t|||d d fd
}|rBt|}t	j
|||d}t||||dS )zBCommon code for performing any complex to real FFT (irfft or hfft)Tr9   Fwrap_scalarNrF   r0   c                         d  dS NzInvalid number of data points (z) specifiedr+   r+   rU   r+   r-   r.   x       z_fft_c2r.<locals>.<lambda>)rD   rE   rV   last_dim_sizer(   r)   r$   )rC   r=   canonicalize_dimndimrI   r1   r2   rR   conjprimsfft_c2rr7   )	rS   rT   rU   rV   r(   r$   rD   r_   outputr+   r\   r-   _fft_c2rk   s   	
rg   onesidedc           	         s   t jj  fdd ttjj|ddf}|dur't||ft	j
||d}t||j| |}|r=|S t |S )zBCommon code for performing any real to complex FFT (rfft or ihfft)c                           dj  S )Nz0 expects a floating point input tensor, but got r8   r+   rS   rT   r+   r-   r.          z_fft_r2c.<locals>.<lambda>FrX   NrV   rh   )r1   r2   r8   r:   rC   r=   ra   rb   rR   rd   fft_r2cr7   rI   rc   )	rS   rT   rU   rV   r(   r$   rh   rD   retr+   rk   r-   _fft_r2c   s   
rp   c                    sh   t jj fdd tjj|ddf}|dur"t||ftj	||d}t
||j| |S )zCCommon code for performing any complex to complex FFT (fft or ifft)c                      ri   Nz) expects a complex input tensor, but got rj   r+   rk   r+   r-   r.      rl   z_fft_c2c.<locals>.<lambda>FrX   NrV   r$   )r1   r2   r8   r:   r=   ra   rb   rR   rd   fft_c2cr7   rI   )rS   rT   rU   rV   r(   r$   rD   ro   r+   rk   r-   _fft_c2c   s   	rt   rG   c              	   C   s2   | j jrtd| |||ddS td| |||dddS )Nr   Tr$   Fr$   rh   r8   r:   rt   rp   rT   rU   rV   r(   r+   r+   r-   r         r   c              	   C   s2   | j jrtd| |||ddS td| |||dddS )Nr   Fru   rv   rw   rx   r+   r+   r-   r      ry   r   c              	   C   s   t d| |||dddS )Nr   Trv   rp   rx   r+   r+   r-   r         r   c                 C      t d| |||ddS )Nr   Fru   rg   rx   r+   r+   r-   r         r   c                 C   r|   )Nr   Tru   r}   rx   r+   r+   r-   r      r~   r   c              	   C   s   t d| |||dddS )Nr   FTrv   rz   rx   r+   r+   r-   r      r{   r   c                   @   s.   e Zd ZU eedf ed< eedf ed< dS )_ShapeAndDims.rI   rD   N__name__
__module____qualname__r   int__annotations__r+   r+   r+   r-   r      s   
 r   rI   c                    sL  | j  | j|dur*t|ts|f}tj |dd}ttt	|t|kdd  |durut|ts6|f}t|du pCt|t|kdd  t|t k fdd |du rft
t   }t
fdd	t||D }n|du rt
t }t
}nt
fd
d	|D }|D ]tdkfdd qt||dS )zTConvert the shape and dim arguments into a canonical form where neither are optionalNFrX   c                   S      dS )NzFFT dims must be uniquer+   r+   r+   r+   r-   r.         z6_canonicalize_fft_shape_and_dim_args.<locals>.<lambda>c                   S   r   )Nz=When given, dim and shape arguments must have the same lengthr+   r+   r+   r+   r-   r.     r   c                      s   d d  dS )NzGot shape with z" values but input tensor only has z dimensions.r+   r+   )	input_dimtransform_ndimr+   r-   r.     s    c                 3   s(    | ]\}}|d kr|n | V  qdS )rG   Nr+   ).0sdinput_sizesr+   r-   	<genexpr>&  s    
z7_canonicalize_fft_shape_and_dim_args.<locals>.<genexpr>c                 3   s    | ]} | V  qd S Nr+   r   r   r   r+   r-   r   /  s    r   c                      rZ   r[   r+   r+   r\   r+   r-   r.   2  r]   )rI   rD   )rb   rI   
isinstancer   r=   canonicalize_dimsr1   r2   rH   settuplerJ   zipr   )rT   rI   rV   ret_dims	ret_shaper+   )r   r   rU   r   r-   $_canonicalize_fft_shape_and_dim_args  s>   
 


r   xsc                 C   s   d}| D ]}||9 }q|S )zCompute product of a listr0   r+   )r   prodr'   r+   r+   r-   _prod7  s   
r   function_namec                    sJ   t jj fdd t||}tj|||d}t||t||dS )zECommon code for n-dimensional complex to complex FFTs (fftn or ifftn)c                      ri   rq   rj   r+   r   rT   r+   r-   r.   J  s    z_fftn_c2c.<locals>.<lambda>rr   r`   )	r1   r2   r8   r:   rR   rd   rs   r7   r   )r   rT   rI   rV   r(   r$   r'   rf   r+   r   r-   	_fftn_c2c?  s   	r   r   c                 C   s0   t | ||\}}t| dd}td||||ddS )NTrW   r   ru   r   rC   r   rT   r   rV   r(   rI   r'   r+   r+   r-   r   R     r   c                 C   s0   t | ||\}}t| dd}td||||ddS )NTrW   r   Fru   r   r   r+   r+   r-   r   _  r   r   c                    sf   t  jj  fdd t ||\}}t dd t || tj |dd}t	||t
|ddS )Nc                         d j  S )Nz2rfftn expects a real-valued input tensor, but got rj   r+   rT   r+   r-   r.   v  r]   zrfftn.<locals>.<lambda>FrW   Trm   r`   )r1   r2   r8   r:   r   rC   rR   rd   rn   r7   r   )rT   r   rV   r(   rI   outr+   r   r-   r   l  s   
r   c                    s   t  jj  fdd t ||\}}t t|dkdd  t dd t || tj	 |dd  dd	}t|d
krNt
|||d dd}t|S t|}tj||d d dd}t
||t|ddS )Nc                      r   )Nz3ihfftn expects a real-valued input tensor, but got rj   r+   r   r+   r-   r.     r]   zihfftn.<locals>.<lambda>r   c                   S   r   )Nz'ihfftn must transform at least one axisr+   r+   r+   r+   r-   r.     r   FrW   rG   Trm   r0   r`   rr   )r1   r2   r8   r:   r   rH   rC   rR   rd   rn   r7   rc   conj_physicalrs   r   )rT   r   rV   r(   rI   tmpr+   r   r-   r     s   


r   c                   @   s6   e Zd ZU eedf ed< eedf ed< eed< dS )_CanonicalizeC2rReturn.rI   rV   r_   Nr   r+   r+   r+   r-   r     s   
 r   fnamec                    s   t |||\}}tt|dk fdd |du s |d dkr,d|j|d  d  n|d tdkfdd t|}d d |d< tt||d	S )
zCanonicalize shape and dim arguments for n-dimensional c2r transforms,
    as well as calculating the last_dim_size which is shape[dim[-1]] for the outputr   c                      s
     dS )Nz! must transform at least one axisr+   r+   )r   r+   r-   r.     r/   z:_canonicalize_fft_c2r_shape_and_dim_args.<locals>.<lambda>NrG   rF   r0   c                      rZ   r[   r+   r+   )r_   r+   r-   r.     r]   )rI   rV   r_   )r   r1   r2   rH   rI   listr   r   )r   rT   r   rV   rI   
shape_listr+   )r   r_   r-   (_canonicalize_fft_c2r_shape_and_dim_args  s   

r   c                    s^   t d| ||\}}}t| dd} t| ||} tj| ||d t |t fdd|D ddS )	Nr!   TrW   r^   c                 3   s    | ]} j | V  qd S r   rI   r   r   r+   r-   r     s    zirfftn.<locals>.<genexpr>Fru   )r   rC   rR   rd   re   r7   r   )rT   r   rV   r(   rI   r_   r+   r   r-   r!     s   
"r!   c                 C   s   t d| ||\}}}t| dd} t| ||} t|dkr(tj| |d d ddn| }t||t|d d dd}t|}tj	||dd  |d}t|||ddS )	Nr   TrW   r0   rG   rr   ru   r^   )
r   rC   rR   rH   rd   rs   r7   r   r   re   )rT   r   rV   r(   rI   r_   r   r   r+   r+   r-   r     s   
(
r   rG   c                 C      t jj| |||dS N)r   rV   r(   )r1   r   r   rT   r   rV   r(   r+   r+   r-   r     r~   r   c                 C   r   r   )r1   r   r   r   r+   r+   r-   r     r~   r   c                 C   r   r   )r1   r   r   r   r+   r+   r-   r     r~   r   c                 C   r   r   )r1   r   r!   r   r+   r+   r-   r      r~   r    c                 C   r   r   )r1   r   r   r   r+   r+   r-   r     r~   r   c                 C   r   r   )r1   r   r   r   r+   r+   r-   r     r~   r   c                 C   s.   | du rt t|jS t| ts| gS t | S )zIConvert Optional[DimsType] to a simple list, defaulting to all dimensionsN)r   rJ   rb   r   r   )rV   r'   r+   r+   r-   _default_alldims%  s
   
r   c                    *   t | } fdd|D }t ||S )Nc                    s   g | ]	} j | d  qS )rF   r   r   r   r+   r-   
<listcomp>2  s    zfftshift.<locals>.<listcomp>r   r1   rollrT   rV   rD   shiftr+   r   r-   r"   /     
r"   c                    r   )Nc                    s   g | ]} j | d  d qS )r0   rF   r   r   r   r+   r-   r   9  s    zifftshift.<locals>.<listcomp>r   r   r+   r   r-   r#   6  r   r#   )F)NrG   N)NNN)Nr   Nr   )Yr4   typingr   r   r   r   r   r   r   r	   r1   torch._prims_primsrd   torch._prims_common_prims_commonr=   torch._decompr
   r   r   r   torch._prims_common.wrappersr   r   __all__NormTyper3   _opsopsatenr   boolr7   r8   r?   rC   rR   strrg   rp   rt   fft_fftr   fft_ifftr   fft_rfftr   	fft_irfftr   fft_hfftr   	fft_ihfftr   r   r   r   r   fft_fftnr   	fft_ifftnr   	fft_rfftnr   
fft_ihfftnr   r   r   
fft_irfftnr!   	fft_hfftnr   fft_fft2r   	fft_ifft2r   	fft_rfft2r   
fft_irfft2r    	fft_hfft2r   
fft_ihfft2r   r   fft_fftshiftr"   fft_ifftshiftr#   r+   r+   r+   r-   <module>   sF   (


	





				
6



						
"