
    IЦi                       S SK Jr  S SKrS SKrS SKJr  S SKrSSKJrJ	r	  SSK
JrJrJr   " S S\5      rS	 rS
 rS r\\S!S j5       5       r\\SS.S"S jj5       5       r\\S#S j5       5       r\\S$S#S jj5       5       r\\S!S j5       5       r\\S%S!S jj5       5       r\\S$S#S jj5       5       r\\S&S!S jj5       5       r\\S!S j5       5       r\\S!S j5       5       r\\S$S'S jj5       5       r\\S(S!S jj5       5       r\\S)S*S jj5       5       r\\S!S j5       5       r \\S+S!S jj5       5       r!\\S,S!S jj5       5       r"\\S!S j5       5       r#\\S-S!S jj5       5       r$\\S!S j5       5       r%\\S-S!S  jj5       5       r&g).    )annotationsN)Sequence   )_dtypes_impl_util)	ArrayLikeKeepDims
normalizerc                      \ rS rSrSrg)LinAlgError    N)__name__
__module____qualname____firstlineno____static_attributes__r       R/var/www/html/ai-image-ml/venv/lib/python3.13/site-packages/torch/_numpy/linalg.pyr   r      s    r   r   c                    U R                   R                  (       dI  U R                   R                  (       d.  U R                  [        R
                  " 5       R                  5      n U $ N)dtypeis_floating_point
is_complextor   default_dtypesfloat_dtypeas    r   _atleast_float_1r       s=    GG%%););DD,,.::;Hr   c                   [         R                  " X5      nUR                  (       d0  UR                  (       d  [         R                  " 5       R
                  n[        R                  " X5      n [        R                  " X5      nX4$ r   )r   result_type_implr   r   r   r   r   cast_if_needed)r   bdtyps      r   _atleast_float_2r&      s\    ((.D""doo**,88Q%AQ%A4Kr   c                F   ^  [         R                  " T 5      U 4S j5       nU$ )Nc                    >  T" U 0 UD6$ ! [         R                  R                   a  n[        UR                  6 eS nAff = fr   )torch_C_LinAlgErrorr   args)r,   kwdsefuncs      r   wrappedlinalg_errors.<locals>.wrapped$   sA    	'&&&xx$$ 	'qvv&&	's    A ;A )	functoolswraps)r/   r0   s   ` r   linalg_errorsr4   #   s%    __T' ' Nr   c                V    [        U 5      n [        R                  R                  X5      $ r   )r    r)   linalgmatrix_power)r   ns     r   r7   r7   1   s#     	A<<$$Q**r   )outc               @    [         R                  R                  U 5      $ r   )r)   r6   	multi_dot)inputsr9   s     r   r;   r;   8   s     <<!!&))r   c                Z    [        X5      u  p[        R                  R                  X5      $ r   )r&   r)   r6   solve)r   r$   s     r   r>   r>   A   s%     A!DA<<a##r   c                    [        X5      u  pU R                  (       d  UR                  (       a  SOSn[        R                  R	                  XX#S9$ )Ngelsgelsd)rconddriver)r&   is_cudar)   r6   lstsq)r   r$   rB   rC   s       r   rE   rE   H   s?     A!DA yyAIIV7F<<a%??r   c                Z    [        U 5      n [        R                  R                  U 5      nU$ r   )r    r)   r6   invr   results     r   rG   rG   R   s'     	A\\a FMr   c                T    [        U 5      n [        R                  R                  XUS9$ )N)rtol	hermitian)r    r)   r6   pinv)r   rB   rL   s      r   rM   rM   Z   s(     	A<<Qi@@r   c                X    [        X5      u  p[        R                  R                  XUS9$ )N)dims)r&   r)   r6   tensorsolve)r   r$   axess      r   rP   rP   a   s*     A!DA<<##At#44r   c                R    [        U 5      n [        R                  R                  XS9$ )N)ind)r    r)   r6   	tensorinv)r   rS   s     r   rT   rT   h   s&     	A<<!!!!--r   c                V    [        U 5      n [        R                  R                  U 5      $ r   )r    r)   r6   detr   s    r   rV   rV   r   s#     	A<<Ar   c                V    [        U 5      n [        R                  R                  U 5      $ r   )r    r)   r6   slogdetr   s    r   rX   rX   y   s#     	A<<""r   c                H   [        U 5      n U R                  5       S:X  a2  [        R                  " U R                  SS  5      S:X  a  [        S5      e[        R                  R                  XS9n[        R                  " [        R                  " U5      [        S5      U5      $ )Nr   z#cond is not defined on empty arrays)pinf)r    numelmathprodshaper   r)   r6   condwhereisnanfloat)xr[   rI   s      r   ra   ra      s|     	A 	wwyA~$))AGGBCL1Q6?@@\\q&F
 ;;u{{6*E%L&AAr   c                D   [        U 5      n U R                  S:  a  [        U S:g  R                  5       5      $ UcF  Sn[	        U R
                  SS  5      [        R                  " U R                  5      R                  -  nOUSpC[        R                  R                  XXBS9$ )N   r   rZ   )atolrK   rL   )r    ndimintanymaxr`   r)   finfor   epsr6   matrix_rank)r   tolrL   rh   rK   s        r   ro   ro      s     	AvvzAF<<>""
{17723< 5;;qww#7#;#;;!d<<##At#QQr   c                T    [        U 5      n [        R                  R                  XUS9$ )N)orddim)r    r)   r6   norm)re   rr   axiskeepdimss       r   rt   rt      s(     	A<<QT22r   c                V    [        U 5      n [        R                  R                  U 5      $ r   )r    r)   r6   choleskyr   s    r   rx   rx      s#     	A<<  ##r   c                z    [        U 5      n [        R                  R                  XS9nUS:X  a  UR                  nU$ )N)moder)r    r)   r6   qrR)r   rz   rI   s      r   r|   r|      s7     	A\\__Q_*Fs{Mr   c                    [        U 5      n U(       d  [        R                  R                  U 5      $ [        R                  R	                  XS9nU$ )N)full_matrices)r    r)   r6   svdvalssvd)r   r   
compute_uvrL   rI   s        r   r   r      sD     	A||##A&& \\a=FMr   c                (   [        U 5      n [        R                  R                  U 5      u  pU R	                  5       (       dO  UR	                  5       (       a:  UR
                  S:H  R                  5       (       a  UR                  nUR                  nX4$ Nr   )r    r)   r6   eigr   imagallreal)r   wvts      r   r   r      sh     	ALLQEA<<>>allnn!&&A+1B1B1D1DFFWW5Lr   c                R    [        U 5      n [        R                  R                  XS9$ N)UPLO)r    r)   r6   eighr   r   s     r   r   r      s&     	A<<Q**r   c                
   [        U 5      n [        R                  R                  U 5      nU R	                  5       (       dC  UR	                  5       (       a.  UR
                  S:H  R                  5       (       a  UR                  nU$ r   )r    r)   r6   eigvalsr   r   r   r   rH   s     r   r   r      s`     	A\\!!!$F<<>>f//11v{{a7G6L6L6N6NMr   c                R    [        U 5      n [        R                  R                  XS9$ r   )r    r)   r6   eigvalshr   s     r   r   r      s&     	A<<   ..r   )r   r   )r<   zSequence[ArrayLike])r   r   r$   r   r   )gV瞯<F)rg   )re   r   )NF)NNF)re   r   rv   r	   )reduced)TTF)L)'
__future__r   r2   r^   typingr   r)    r   r   _normalizationsr   r	   r
   	Exceptionr   r    r&   r4   r7   r;   r>   rE   rG   rM   rP   rT   rV   rX   ra   ro   rt   rx   r|   r   r   r   r   r   r   r   r   <module>r      su   #     ! < <	) 	 +  +
 26 *  * $  $
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 .  .   
 #  #
 B  B  R  R 3  3 $  $
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