o
    oh:^                     @   sd
  d Z ddlZddlZddlmZmZ ddlZdadd Zddl	m
Z
 ddlmZ dd	lmZ g d
ZdadOddZdd Zdd Zdd Zdd ZeeZdeed< dd eD Zedd eD  ed ed< ed ed< ded< dd Zd d Zd!d eD Zed"d eD  d#d Zd$d ZeeZ de e d< d%d e D Z!e!d&d e D  ed e!d< ed e!d< d'e!d< d(d)d*d+d,d-d.d/d0d1d2
Z"d3d4d5d6d7d8d9d:d;d<d=d>d?Z#d@d Z$dAd Z%dBd Z&dCd Z'dDd Z(dEd Z)dFd Z*i Z+i Z,dGD ]	Z-e$e-e+e-< qdHD ]	Z-e(e-e,e-< qdID ]	Z.e%e.e+e.< qdJdK e/dLD D ]Z0e&e0e+e0< e)e0e,e0< q,dMD ]Z1e'e1e+e1< e*e1e,e1< q>i dNdOd dPdQd dRdSd dTdUd dVdWd dXdYd dZd[d d\d]d d^d_d d`dad dbdcd ddded dfdgd dhdid djdkd dldmd dndod dpd dqd drZ2dsd Z3dtd Z4dud Z5dvd Z6dwd Z7dxd Z8dyd Z9dzd Z:i d{e6d{e3d{e7d{fd{fd|e6d|e3d|e7d|fd|fd}e6d}e4d}e8d}fd}fd~e6d~e4d~e8d~fd~fde6de3de7de5dfdfde6de3de7de5dfdfdeddeddeddeddeddeddeddeddeddedededfdfdedededfdfe6d}e6d}e8d}fedfe6d~e6d~e8d~fedfe6d}e4d}e6d}fedfe6d~e4d~e6d~fedfe6dededfed>feddededfedfededededd
Z;dddddddddddddddZ<dd Z=dd Z>dd Z?edededdZ@dd ZAeAdeAdeAdeAdeAdeAdeAdÃeAdăeAdŃeAdƃeAdǃeAdȃeAdɃeAdʃeAd˃d̜ZBi ddΓddϓddГdded҃fddedԃfddedփfddؓddړddܓddޓddddddedfddedredreded ed ndfddedredredreded ed ndfddedfZCdd ZDi deddeddeddedoded deddeddeddedoeded dedded deddeddeddedd	ed
deddedi deddeddeddeddeddeddeddeddedd ed d!d!d"ed#d$ed%d&ed'd(ed)d*ed+d,ed-ed.ed/ed0ed1ed2ed3ed2ed3ed4ed5ed6ededd7ZEdPd8d9ZFdQd:d;ZGd<d= ZHeIJee/eKd>eKd?ee/eKd@eKdA ZLdBdC ZMdDdE ZNdFdG ZOdHdI ZPdRdKdLZQdRdMdNZRdS (S  z=Symbolic primitives + unicode/ASCII abstraction for pretty.py    N)ascii_lowercaseascii_uppercase c                 C   s.   zt | W S  ty   td|  7 aY dS w )z
    Get a unicode character by name or, None if not found.

    This exists because older versions of Python use older unicode databases.
    zNo '%s' in unicodedata
N)unicodedatalookupKeyErrorunicode_warnings)name r
   z/var/www/html/construction_image-detection-poc/venv/lib/python3.10/site-packages/sympy/printing/pretty/pretty_symbology.pyU
   s   r   )split_super_sub)greeks)sympy_deprecation_warning)
greek_unicodesubsupxsymvobjhobjpretty_symbol	annotated
center_padcenterFc                 C   s.   | du rt S | rtrtt dat }| a |S )z8Set whether pretty-printer should use unicode by defaultNr   )_use_unicoder   warningswarn)flaguse_unicode_prevr
   r
   r   pretty_use_unicode)   s   
r   c               	   C   s~   t tjdd} | du rdS g }|t 7 }|t 7 }|D ]}|du r& dS z||  W q ty8   Y  dS w td dS )z>See if unicode output is available and leverage it if possibleencodingNT)	getattrsysstdoutr   valuesatoms_tableencodeUnicodeEncodeErrorr   )r    symbolssr
   r
   r   pretty_try_use_unicode:   s   r*   c                  G   s   t dddd t|  S )Nzv
        The sympy.printing.pretty.pretty_symbology.xstr() function is
        deprecated. Use str() instead.
        z1.7z$deprecated-pretty-printing-functions)deprecated_since_versionactive_deprecations_target)r   str)argsr
   r
   r   xstrY   s   r/   c                 C      t d|   S )NzGREEK SMALL LETTER %sr   upperlr
   r
   r   <lambda>e       r5   c                 C   r0   )NzGREEK CAPITAL LETTER %sr1   r3   r
   r
   r   r5   f   r6   lamdalambdac                 C      i | ]}|t |qS r
   g.0Lr
   r
   r   
<dictcomp>m       r?   c                 c   0    | ]}|d    |dd  t|fV  qdS r      Nr2   Gr<   r
   r
   r   	<genexpr>n      . rF   LamdaLambdau   ςvarsigmac                 C   r0   NzMATHEMATICAL BOLD SMALL %sr1   r3   r
   r
   r   r5   v   r6   c                 C   r0   )NzMATHEMATICAL BOLD CAPITAL %sr1   r3   r
   r
   r   r5   w   r6   c                 C   r9   r
   )b)r=   r4   r
   r
   r   r?   y   r@   c                 c   s    | ]	}|t |fV  qd S N)Br<   r
   r
   r   rF   z   s    c                 C   r0   rK   r1   r3   r
   r
   r   r5   }   r6   c                 C   r0   )NzMATHEMATICAL BOLD CAPITAL  %sr1   r3   r
   r
   r   r5   ~   r6   c                 C   r9   r
   r:   r<   r
   r
   r   r?      r@   c                 c   rA   rB   rD   r<   r
   r
   r   rF      rG   u   𝛓ZEROONETWOTHREEFOURFIVESIXSEVENEIGHTNINE)
0123456789z	PLUS SIGNMINUSzEQUALS SIGNzLEFT PARENTHESISzRIGHT PARENTHESISzLEFT SQUARE BRACKETzRIGHT SQUARE BRACKETzLEFT CURLY BRACKETzRIGHT CURLY BRACKETzCURLY BRACKET	SUMMATIONINTEGRAL)+-=()[]{}{}sumintc                 C   r0   )NzLATIN SUBSCRIPT SMALL LETTER %sr1   letterr
   r
   r   r5      r6   c                 C   r0   )NzGREEK SUBSCRIPT SMALL LETTER %sr1   rr   r
   r
   r   r5      r6   c                 C      t dt|   S NzSUBSCRIPT %sr   
digit_2txtdigitr
   r
   r   r5      r6   c                 C   rt   ru   r   	symb_2txtsymbr
   r
   r   r5      r6   c                 C   r0   )Nz!SUPERSCRIPT LATIN SMALL LETTER %sr1   rr   r
   r
   r   r5      r6   c                 C   rt   NzSUPERSCRIPT %srv   rx   r
   r
   r   r5      r6   c                 C   rt   r~   rz   r|   r
   r
   r   r5      r6   aeioruvxhklmnpstin)betagammarhophichic                 C   s   g | ]}t |qS r
   )r-   )r=   ir
   r
   r   
<listcomp>       r   
   z+-=()mathringc                 C   
   t | dS )Nu   ̊center_accentr)   r
   r
   r   r5         
 ddddotc                 C   r   )Nu   ⃜r   r   r
   r
   r   r5      r   dddotc                 C   r   )Nu   ⃛r   r   r
   r
   r   r5      r   ddotc                 C   r   )Nu   ̈r   r   r
   r
   r   r5      r   dotc                 C   r   )Nu   ̇r   r   r
   r
   r   r5      r   checkc                 C   r   )Nu   ̌r   r   r
   r
   r   r5      r   brevec                 C   r   )Nu   ̆r   r   r
   r
   r   r5      r   acutec                 C   r   )Nu   ́r   r   r
   r
   r   r5      r   gravec                 C   r   )N   ̀r   r   r
   r
   r   r5      r   tildec                 C   r   )Nu   ̃r   r   r
   r
   r   r5      r   hatc                 C   r   )Nu   ̂r   r   r
   r
   r   r5      r   barc                 C   r   )Nu   ̅r   r   r
   r
   r   r5      r   vecc                 C   r   )Nu   ⃗r   r   r
   r
   r   r5      r   primec                 C      | d S Nu   ′r
   r   r
   r
   r   r5          prmc                 C   r   r   r
   r   r
   r
   r   r5      r   normc                 C      d|  d S )Nu   ‖r
   r   r
   r
   r   r5          avgc                 C   s   d|  d S )Nu   ⟨u   ⟩r
   r   r
   r
   r   r5      r   c                 C   r   N|r
   r   r
   r
   r   r5      r   c                 C   r   r   r
   r   r
   r
   r   r5      r   )absmagc                 C   rt   )Nz%s UPPER HOOKrz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz%s UPPER CORNERrz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz%s MIDDLE PIECErz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz%s EXTENSIONrz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz%s LOWER HOOKrz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz%s LOWER CORNERrz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz%s TOPrz   r|   r
   r
   r   r5      r6   c                 C   rt   )Nz	%s BOTTOMrz   r|   r
   r
   r   r5      r6   ri   rj   rk   rl   rm   ro   rn   r   zBOX DRAWINGS LIGHT VERTICALTeez$BOX DRAWINGS LIGHT UP AND HORIZONTALUpTackz&BOX DRAWINGS LIGHT DOWN AND HORIZONTALzcorner_up_centre(_extzLEFT PARENTHESIS EXTENSIONz)_extzRIGHT PARENTHESIS EXTENSIONz(_lower_hookzLEFT PARENTHESIS LOWER HOOKz)_lower_hookzRIGHT PARENTHESIS LOWER HOOKz(_upper_hookzLEFT PARENTHESIS UPPER HOOKz)_upper_hookzRIGHT PARENTHESIS UPPER HOOK<z5BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT TO LOWER LEFTz5BOX DRAWINGS LIGHT DIAGONAL UPPER LEFT TO LOWER RIGHT>z
LEFT FLOORzRIGHT FLOORzLEFT CEILINGzRIGHT CEILINGrq   zTOP HALF INTEGRALzBOTTOM HALF INTEGRAL_OVERLINEzN-ARY SUMMATIONzBOX DRAWINGS LIGHT HORIZONTALzLOW LINE)
lfloorrfloorlceilrceilrq   rp   rg   r   /\)r   r   r   ri   )r   r   r   rj   ))rk   rk   rk   rk   ))rl   rl   rl   rl   ))r   r   r   r   rm   ))r   r   r   r   rn   )r   r   )r   r   )z | z  /z/  rg   r   r   )ri   rj   rk   rl   rm   rn   r   r   r   rq   rg   r   r   r   c                 C   sV  |dkrt dtrt}nt}||  }d } } }}t|ts#|}n.t|d tr3|d }	|d }n|}	|	d }z|	d }|	d }|	d }W n	 tyP   Y nw |du rW|}|du r]|}|du rc|}|durr|d dkrq|d7 }n|}|dkrz|S g }
|d d }|d |d  }|
|g7 }
|
|g| 7 }
|
|g| 7 }
|
|g| 7 }
|
|g7 }
|
S )zVConstruct spatial object of given length.

    return: [] of equal-length strings
    r   zLength should be greater than 0NrC         )
ValueErrorr   _xobj_unicode_xobj_ascii
isinstancetuple
IndexError)r}   length_xobjvinfoc1topbotmidextvlongresnextnmidr
   r
   r   xobjE  sV   



r   c                 C      d t| |S )zBConstruct vertical object of a given height

       see: xobj
    
joinr   )r}   heightr
   r
   r   r        r   c                 C   r   )zCConstruct horizontal object of a given width

       see: xobj
    r   r   )r}   widthr
   r
   r   r     r   r   zSQUARE ROOTz	CUBE ROOTzFOURTH ROOT)r   r      c                 C   s   t d|  S )NzVULGAR FRACTION %s)r   )txtr
   r
   r   r5     r   zONE HALFz	ONE THIRDz
TWO THIRDSzONE QUARTERzTHREE QUARTERSz	ONE FIFTHz
TWO FIFTHSzTHREE FIFTHSzFOUR FIFTHSz	ONE SIXTHzFIVE SIXTHSz
ONE EIGHTHzTHREE EIGHTHSzFIVE EIGHTHSzSEVEN EIGHTHS))rC   r   )rC   r   )r   r   )rC   r   )r   r   )rC      )r   r   )r   r   )r   r   )rC      )r   r   )rC      )r   r   )r   r   )   r   z==)rh   rh   )r   r   )r   r   z<=zLESS-THAN OR EQUAL TOz>=zGREATER-THAN OR EQUAL TOz!=zNOT EQUAL TO:=)r   r   +=)r   r   -=)r   r   *=)r   r   /=)r   r   %=)r   r   *zDOT OPERATORz-->zEM DASHzBLACK RIGHT-POINTING TRIANGLEz==>zBOX DRAWINGS DOUBLE HORIZONTAL.zRING OPERATORc                 C   s   t |  }tr
|d S |d S )zget symbology for a 'character'rC   r   )_xsymr   )symopr
   r
   r   r     s   r   Exp1zSCRIPT SMALL EPizGREEK SMALL LETTER PIInfinityINFINITYNegativeInfinityImaginaryUnitzDOUBLE-STRUCK ITALIC SMALL IEmptySetz	EMPTY SETNaturalszDOUBLE-STRUCK CAPITAL N	Naturals0zSUBSCRIPT ZEROIntegerszDOUBLE-STRUCK CAPITAL Z	RationalszDOUBLE-STRUCK CAPITAL QRealszDOUBLE-STRUCK CAPITAL R	ComplexeszDOUBLE-STRUCK CAPITAL CUniversez$MATHEMATICAL DOUBLE-STRUCK CAPITAL UIdentityMatrixz$MATHEMATICAL DOUBLE-STRUCK CAPITAL I
ZeroMatrixz%MATHEMATICAL DOUBLE-STRUCK DIGIT ZERO	OneMatrixz$MATHEMATICAL DOUBLE-STRUCK DIGIT ONEDifferentialzDOUBLE-STRUCK ITALIC SMALL DUnionUNION	ElementOfz
ELEMENT OFSmallElementOfzSMALL ELEMENT OFSymmetricDifference	INCREMENTIntersectionINTERSECTIONRingMultiplicationzMULTIPLICATION SIGNTensorProductzN-ARY CIRCLED TIMES OPERATORDotszHORIZONTAL ELLIPSISzModifier Letter Low RingEmptySequenceSuperscriptPluszSUPERSCRIPT PLUS SIGNSuperscriptMinuszSUPERSCRIPT MINUSDaggerDAGGERDegreezDEGREE SIGNAndzLOGICAL ANDOrz
LOGICAL ORzNOT SIGNNORNANDXORzLEFT RIGHT DOUBLE ARROWz#LEFT RIGHT DOUBLE ARROW WITH STROKEzRIGHTWARDS ARROWzRIGHTWARDS ARROW FROM BARzRIGHTWARDS ARROW WITH STROKE)NotNorNandXorEquivNotEquivImplies
NotImpliesArrowArrowFromBarNotArrow	TautologyContradictionc                 C   sF   t r|dur| dkr|jd dkrtdS t|  S |dur|S td)z'return pretty representation of an atomNr   imaginary_unitjzDOUBLE-STRUCK ITALIC SMALL Jzonly unicode)r   	_settingsr   r%   r   )	atom_namedefaultprinterr
   r
   r   pretty_atom  s   r!  c           
         s   t s| S t| \}}}fdd| }dd }||t}|dur)||t}nd}|du rW|rB|dd fdd|D  7 }|rU|d	d	 fd
d|D  7 }|S d|}d|}	d|||	gS )z(return pretty representation of a symbolc                    s   |rt | }nt| }|d ur|S tt dd ddD ]#}|  |rAt| t|krAt|  | d t|  |  S q|rNd	dd | D S | S )Nc                 S   s   t | S rM   len)kr
   r
   r   r5   9  r   z2pretty_symbol.<locals>.translate.<locals>.<lambda>T)keyreverser   c                 S   s   g | ]}t | qS r
   )bold_unicoder=   cr
   r
   r   r   =  r   z4pretty_symbol.<locals>.translate.<locals>.<listcomp>)
greek_bold_unicodegetr   sortedmodifier_dictkeyslowerendswithr#  r   )r)   	bold_namegGr%  )	translater
   r   r3  2  s   
$z pretty_symbol.<locals>.translatec              
      sf   g }| D ],}  |}|d u r+zd fdd|D }W n ttfy*   Y  d S w || q|S )Nr   c                    s   g | ]} | qS r
   r
   r(  mappingr
   r   r   J  r   z6pretty_symbol.<locals>.pretty_list.<locals>.<listcomp>)r+  r   	TypeErrorr   append)r4   r5  resultr)   prettyr
   r4  r   pretty_listD  s   
z"pretty_symbol.<locals>.pretty_listNr   c                       g | ]}| qS r
   r
   r=   r)   r1  r3  r
   r   r   Y  r@   z!pretty_symbol.<locals>.<listcomp>__c                    r;  r
   r
   r<  r=  r
   r   r   [  r@    r   )r   r   r   r   r   )
	symb_namer1  r	   supssubsr:  pretty_supspretty_subssups_resultsubs_resultr
   r=  r   r   '  s&   

""

r   c                 C   s(   ddd}ddd}t r||  S ||  S )a  
    Return a stylised drawing of the letter ``letter``, together with
    information on how to put annotations (super- and subscripts to the
    left and to the right) on it.

    See pretty.py functions _print_meijerg, _print_hyper on how to use this
    information.
    )r   r   r   r   u   ┌─
├─
╵)r   r   r   rC   u   ╭─╮
│╶┐
╰─╯)FrE   )r   r   r   r   z _
|_
|
)r   r   r   rC   z __
/__
\_|)r   )rs   
ucode_pics
ascii_picsr
   r
   r   r   d  s   
	r   r   u   ͯu   ⃐u   ⃰c                 C   s   t | tv S )z,Check whether symbol is a unicode modifier. )ord_remove_combining)r   r
   r
   r   is_combining  s   rL  c                 C   s4   t | d d }| d| }| |d }|| | S )a  
    Returns a string with accent inserted on the middle character. Useful to
    put combining accents on symbol names, including multi-character names.

    Parameters
    ==========

    string : string
        The string to place the accent in.
    accent : string
        The combining accent to insert

    References
    ==========

    .. [1] https://en.wikipedia.org/wiki/Combining_character
    .. [2] https://en.wikipedia.org/wiki/Combining_Diacritical_Marks

    r   rC   Nr"  )stringaccentmidpoint	firstpart
secondpartr
   r
   r   r     s   r   c                 C   s   t | tS )zxUnicode combining symbols (modifiers) are not ever displayed as
    separate symbols and thus should not be counted
    )r#  r3  rK  )liner
   r
   r   
line_width  s   rS  c                 C   s   t dd | D S )av  
    Checks whether a string is subscriptable in unicode or not.

    Parameters
    ==========

    subscript: the string which needs to be checked

    Examples
    ========

    >>> from sympy.printing.pretty.pretty_symbology import is_subscriptable_in_unicode
    >>> is_subscriptable_in_unicode('abc')
    False
    >>> is_subscriptable_in_unicode('123')
    True

    c                 s   s    | ]}|t v V  qd S rM   )r   )r=   	characterr
   r
   r   rF     s    z.is_subscriptable_in_unicode.<locals>.<genexpr>)all)	subscriptr
   r
   r   is_subscriptable_in_unicode  s   rW  r?  c                 C   s@   | |krt d||  }|d }|| }|| }|| }||fS )z
    Return the padding strings necessary to center a string of
    wstring characters wide in a wtarget wide space.

    The line_width wstring should always be less or equal to wtarget
    or else a ValueError will be raised.
    znot enough space for stringr   )r   )wstringwtargetfillcharwdeltawleftwrightleftrightr
   r
   r   r     s   r   c                 C   s$   t t| ||\}}d|| |gS )zhReturn a centered string of length determined by `line_width`
    that uses `fillchar` for padding.
    r   )r   rS  r   )rM  r   rZ  r^  r_  r
   r
   r   r     s   r   rM   )NN)F)r?  )S__doc__r"   r   rM  r   r   r   r   r   sympy.printing.conventionsr   sympy.core.alphabetsr   sympy.utilities.exceptionsr   __all__r   r   r*   r/   r;   rE   listgreek_lettersindexr   updaterL   rN   r'  gbGBgreek_bold_lettersr*  rw   r{   LSUBGSUBDSUBSSUBLSUPDSUPSSUPr   r   r4   glrangedr)   r-  HUPCUPMIDEXTHLOCLOTOPBOTr   r   r   r   r   rootVFfracr   r   r%   r!  r   r   dictfromkeysrJ  rK  rL  r   rS  rW  r   r   r
   r
   r
   r   <module>   s   		
  	
5 D
	

	


 !"#$%'()
9=