§
    OŠtj¿  ã                   ó|  — d dl mZmZ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mZ dd	lmZmZ d
dœd„Zej        dz  Z ee¦  «        Zd
dœd„Zd
dœd„Zd
dœd„Z G d„ de¦  «        Z G d„ de¦  «        Z G d„ de¦  «        Z G d„ de¦  «        Z G d„ de¦  «        Z  G d„ de¦  «        Z!dS )é    )ÚAddÚArgumentIndexErrorÚFunction)ÚPow)ÚS)Údefault_sort_key)Úsympify)ÚexpÚlog)ÚMaxÚMiné   )ÚTokenÚnoneT©Úevaluatec          	      ó|   — t          t          t          | |¬¦  «        t          ||¬¦  «        |¬¦  «        ¦  «        S ©Nr   )r   r   r
   ©Úx1Úx2r   s      úW/var/www/html/CA-Chatbot/venv/lib/python3.11/site-packages/sympy/codegen/numpy_nodes.pyÚ
_logaddexpr      s:   € Ý�s•3�r HÐ-Ñ-Ô-­s°2ÀÐ/IÑ/IÔ/IÐT\Ð]Ñ]Ô]Ñ^Ô^Ð^ó    é   c                ó4   — t          | |¬¦  «        t          z  S r   )r   Ú_ln2©Úxr   s     r   Ú_lbr       s   € Ýˆq˜8Ð$Ñ$Ô$¥TÑ)Ð)r   c                ó0   — t          t          | |¬¦  «        S r   )r   Ú_twor   s     r   Ú_exp2r#      s   € Ý�t�Q Ð*Ñ*Ô*Ð*r   c          	      ó|   — t          t          t          | |¬¦  «        t          ||¬¦  «        |¬¦  «        ¦  «        S r   )r    r   r#   r   s      r   Ú_logaddexp2r%      sL   € Ý�s•5˜ hÐ/Ñ/Ô/Ý˜ hÐ/Ñ/Ô/¸(ðDñ Dô Dñ Eô Eð Er   c                   ó6   — e Zd ZdZdZd„ Zd
d„Zd„ Zd„ Zd„ Z	d	S )Ú	logaddexpzÖ Logarithm of the sum of exponentiations of the inputs.

    Helper class for use with e.g. numpy.logaddexp

    See Also
    ========

    https://numpy.org/doc/stable/reference/generated/numpy.logaddexp.html
    r   c                 óN   — t          j        | gt          |t          ¬¦  «        ¢R Ž S ©N)Úkey©r   Ú__new__Úsortedr   ©ÚclsÚargss     r   r,   zlogaddexp.__new__,   ó)   € ÝÔ ÐI¥f¨TÕ7GÐ&HÑ&HÔ&HÐIÐIÐIÐIr   r   c                 ó¾   — |dk    r| j         \  }}n!|dk    r| j         \  }}nt          | |¦  «        ‚t          j        t          j        t	          ||z
  ¦  «        z   z  S ©z@
        Returns the first derivative of this function.
        r   r   )r0   r   r   ÚOner
   ©ÚselfÚargindexÚwrtÚothers       r   Úfdiffzlogaddexp.fdiff/   s^   € ð �qŠ=ˆ=Øœ‰JˆC��Ø˜Š]ˆ]Øœ‰JˆE�3�3å$ T¨8Ñ4Ô4Ð4ÝŒu•a”e�c %¨¡)™nœnÑ,Ñ-Ð-r   c                 ó"   — t          ||¦  «        S ©N)r   ©r6   r   r   Úkwargss       r   Ú_eval_rewrite_as_logzlogaddexp._eval_rewrite_as_log;   s   € Ý˜"˜bÑ!Ô!Ð!r   c                 óL   —  |                       t          ¦  «        j        |i |¤ŽS r<   ©Úrewriter   Úevalf©r6   r0   r>   s      r   Ú_eval_evalfzlogaddexp._eval_evalf>   ó&   € Ø&ˆt�|Š|�CÑ Ô Ô&¨Ð7°Ð7Ð7Ð7r   c                 ó    ‡— ˆfd„| j         D ¦   «         \  }}t          ||¦  «        }|t          ||d¬¦  «        k    r|S t          ||¦  «        S )Nc              3   ó2   •K  — | ]} |j         di ‰¤ŽV — Œd S ©N© )Úsimplify©Ú.0r   r>   s     €r   ú	<genexpr>z+logaddexp._eval_simplify.<locals>.<genexpr>B   s5   øè è € Ð8Ð8¨�
�”
Ð$Ð$˜VÐ$Ð$Ð8Ð8Ð8Ð8Ð8Ð8r   Fr   )r0   r   r'   ©r6   r0   r>   ÚaÚbÚ	candidates     `   r   Ú_eval_simplifyzlogaddexp._eval_simplifyA   s_   ø€ Ø8Ð8Ð8Ð8¨d¬iÐ8Ñ8Ô8‰ˆˆ1Ý˜q !Ñ$Ô$ˆ	Ø�
 1 a°%Ð8Ñ8Ô8Ò8Ð8ØÐå˜Q ‘?”?Ð"r   N©r   ©
Ú__name__Ú
__module__Ú__qualname__Ú__doc__Únargsr,   r:   r?   rE   rS   rJ   r   r   r'   r'       sx   € € € € € ðð ð €EðJð Jð Jð
.ð 
.ð 
.ð 
.ð"ð "ð "ð8ð 8ð 8ð#ð #ð #ð #ð #r   r'   c                   ó6   — e Zd ZdZdZd„ Zd
d„Zd„ Zd„ Zd„ Z	d	S )Ú
logaddexp2zâ Logarithm of the sum of exponentiations of the inputs in base-2.

    Helper class for use with e.g. numpy.logaddexp2

    See Also
    ========

    https://numpy.org/doc/stable/reference/generated/numpy.logaddexp2.html
    r   c                 óN   — t          j        | gt          |t          ¬¦  «        ¢R Ž S r)   r+   r.   s     r   r,   zlogaddexp2.__new__V   r1   r   r   c                 ó¾   — |dk    r| j         \  }}n!|dk    r| j         \  }}nt          | |¦  «        ‚t          j        t          j        t	          ||z
  ¦  «        z   z  S r3   )r0   r   r   r4   r#   r5   s       r   r:   zlogaddexp2.fdiffY   s`   € ð �qŠ=ˆ=Øœ‰JˆC��Ø˜Š]ˆ]Øœ‰JˆE�3�3å$ T¨8Ñ4Ô4Ð4ÝŒu•a”e�e E¨#¡IÑ.Ô.Ñ.Ñ/Ð/r   c                 ó"   — t          ||¦  «        S r<   )r%   r=   s       r   r?   zlogaddexp2._eval_rewrite_as_loge   s   € Ý˜2˜rÑ"Ô"Ð"r   c                 óL   —  |                       t          ¦  «        j        |i |¤ŽS r<   rA   rD   s      r   rE   zlogaddexp2._eval_evalfh   rF   r   c                 ó    ‡— ˆfd„| j         D ¦   «         \  }}t          ||¦  «        }|t          ||d¬¦  «        k    r|S t          ||¦  «        S )Nc              3   óV   •K  — | ]#} |j         di ‰¤Ž                     ¦   «         V — Œ$d S rI   )rK   ÚfactorrL   s     €r   rN   z,logaddexp2._eval_simplify.<locals>.<genexpr>l   sA   øè è € ÐAÐA°!�
�”
Ð$Ð$˜VÐ$Ð$×+Ò+Ñ-Ô-ÐAÐAÐAÐAÐAÐAr   Fr   )r0   r%   r\   rO   s     `   r   rS   zlogaddexp2._eval_simplifyk   sa   ø€ ØAÐAÐAÐA°t´yÐAÑAÔA‰ˆˆ1Ý  1Ñ%Ô%ˆ	Ø� A q°5Ð9Ñ9Ô9Ò9Ð9ØÐå˜a Ñ#Ô#Ð#r   NrT   rU   rJ   r   r   r\   r\   J   sx   € € € € € ðð ð €EðJð Jð Jð
0ð 
0ð 
0ð 
0ð#ð #ð #ð8ð 8ð 8ð$ð $ð $ð $ð $r   r\   c                   ó8   — e Zd ZdZdxZZdeiZ ee	¦  «        Z
dS )Úaminz³ Minimum value along an axis.

    Helper class for use with e.g. numpy.amin


    See Also
    ========

    https://numpy.org/doc/stable/reference/generated/numpy.amin.html
    ©ÚarrayÚaxisrh   N©rV   rW   rX   rY   Ú	__slots__Ú_fieldsr   ÚdefaultsÚstaticmethodr	   Ú_construct_axisrJ   r   r   re   re   t   ó<   € € € € € ð	ð 	ð ,Ð+€I�Ø˜ˆ~€HØ"�l 7Ñ+Ô+€O€O€Or   re   c                   ó8   — e Zd ZdZdxZZdeiZ ee	¦  «        Z
dS )Úamaxz³ Maximum value along an axis.

    Helper class for use with e.g. numpy.amax


    See Also
    ========

    https://numpy.org/doc/stable/reference/generated/numpy.amax.html
    rf   rh   Nri   rJ   r   r   rq   rq   „   ro   r   rq   c                   ó   — e Zd ZdZd„ ZdS )ÚmaximumzÄ Element-wise maximum of array elements.

    Helper class for use with e.g. numpy.maximum


    See Also
    ========

    https://numpy.org/doc/stable/reference/generated/numpy.maximum.html
    c                 ó   — t          | j        Ž S r<   )r   r0   ©r6   r0   s     r   Ú_eval_rewrite_as_Maxzmaximum._eval_rewrite_as_Max    ó   € Ý�D”IˆÐr   N)rV   rW   rX   rY   rv   rJ   r   r   rs   rs   ”   ó-   € € € € € ð	ð 	ðð ð ð ð r   rs   c                   ó   — e Zd ZdZd„ ZdS )ÚminimumzÄ Element-wise minimum of array elements.

    Helper class for use with e.g. numpy.minimum


    See Also
    ========

    https://numpy.org/doc/stable/reference/generated/numpy.minimum.html
    c                 ó   — t          | j        Ž S r<   )r   r0   ru   s     r   Ú_eval_rewrite_as_Minzminimum._eval_rewrite_as_Min°   rw   r   N)rV   rW   rX   rY   r|   rJ   r   r   rz   rz   ¤   rx   r   rz   N)"Úsympy.core.functionr   r   r   Úsympy.core.powerr   Úsympy.core.singletonr   Úsympy.core.sortingr   Úsympy.core.sympifyr	   Ú&sympy.functions.elementary.exponentialr
   r   Ú(sympy.functions.elementary.miscellaneousr   r   Úastr   r   r   r4   r"   r   r    r#   r%   r'   r\   re   rq   rs   rz   rJ   r   r   ú<module>r…      sW  ðØ AÐ AÐ AÐ AÐ AÐ AÐ AÐ AÐ AÐ AØ  Ð  Ð  Ð  Ð  Ð  Ø "Ð "Ð "Ð "Ð "Ð "Ø /Ð /Ð /Ð /Ð /Ð /Ø &Ð &Ð &Ð &Ð &Ð &Ø ;Ð ;Ð ;Ð ;Ð ;Ð ;Ð ;Ð ;Ø =Ð =Ð =Ð =Ð =Ð =Ð =Ð =Ø Ð Ð Ð Ð Ð Ð Ð ð $(ð _ð _ð _ð _ð _ð 	„uˆQ�w€Ø
€sˆ4�y„y€ð ð *ð *ð *ð *ð *ð ð +ð +ð +ð +ð +ð %)ð Eð Eð Eð Eð Eð
'#ð '#ð '#ð '#ð '#�ñ '#ô '#ð '#ðT'$ð '$ð '$ð '$ð '$�ñ '$ô '$ð '$ðT,ð ,ð ,ð ,ð ,ˆ5ñ ,ô ,ð ,ð ,ð ,ð ,ð ,ð ,ˆ5ñ ,ô ,ð ,ð ð ð ð ð ˆhñ ô ð ð ð ð ð ð ˆhñ ô ð ð ð r   