U
    ;qLeN                     @   sj  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 d
dddddddgZdadd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$ed%< d&d Zd'd Zd(d eD Zed)d! eD  d*d Zd+d ZeeZ de e d< d,d e D Z!e!d-d! e D  ed e!d< ed" e!d#< d.e!d%< d/d0d1d2d3d4d5d6d7d8d9
Z"d:d;d<d=d>d?d@dAdBdCdDdEdFZ#dGd Z$dHd Z%dId Z&dJd Z'dKd Z(dLd Z)dMd Z*i Z+i Z,dND ]Z-e$e-e+e-< qdOD ]Z-e(e-e,e-< q$dPD ]Z.e%e.e+e.< q<dQdR e/dSD D ]Z0e&e0e+e0< e)e0e,e0< qbdTD ]Z1e'e1e+e1< e*e1e,e1< qdUd dVd dWd dXd dYd dZd d[d d\d d]d d^d d_d d`d dad dbd dcd ddd ded dfd dgd dhZ2did Z3djd Z4dkd Z5dld Z6dmd Z7dnd Z8dod Z9dpd Z:e6dqe3dqe7dqfdqfe6dre3dre7drfdrfe6dse4dse8dsfdsfe6dte4dte8dtfdtfe6due3dve7dve5dvfdvfe6due3dwe7dwe5dwfdwfedxedxedyedzfd{fedxedzedyfd|fe6dse6dse8dsfed}fe6dte6dte8dtfed~fe6dse4dse6dsfedfe6dte4dte6dtfedfe6dededfedEfedzdededyfedfedededyedz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eAdeAdeAdeAdeAdeAdeAdeAdeAddZBddddedfdedfdedfdddddddedfdedÃredăredÃedÃ edă ndfdedƃrVedƃrVedărVedƃedƃ edă ndfdedǃfdȜZCdd ZDedʃed˃ed̃ed̃oded̃ ed̓ed΃edσedσoedσedЃ edуed҃edӃedԃedՃedփed׃edǃed؃ddڜZEddd܄ZFdddZGdd ZHeIJee/eKd߃eKdee/eKdeKd ZLdd ZMdd ZNdd ZOdS )z=Symbolic primitives + unicode/ASCII abstraction for pretty.py    N)ascii_lowercaseascii_uppercase c                 C   s4   zt | W S  tk
r.   td|  7 aY dS X dS )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
   }/home/p21-0144/sympy/latex2sympy2solve-back-end/sympyEq/lib/python3.8/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	annotatedFc                 C   s.   | dk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)flagZuse_unicode_prevr
   r
   r   pretty_use_unicode)   s    
r   c               	   C   s   t tjdd} | dkrdS g }|t 7 }|t 7 }|D ]:}|dkrL dS z||  W q: tk
rr   Y  dS X q: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   s   t d|   S )NzGREEK SMALL LETTER %sr   upperlr
   r
   r   <lambda>e       r1   c                 C   s   t d|   S )NzGREEK CAPITAL LETTER %sr-   r/   r
   r
   r   r1   f   r2   lamdalambdac                 C   s   i | ]}|t |qS r
   g.0Lr
   r
   r   
<dictcomp>m   s      r:   c                 c   s.   | ]&}|d    |dd  t|fV  qdS r      Nr.   Gr7   r
   r
   r   	<genexpr>n   s     r?   ZLamdaLambdau   ςZvarsigmac                 C   s   t d|   S NzMATHEMATICAL BOLD SMALL %sr-   r/   r
   r
   r   r1   v   r2   c                 C   s   t d|   S )NzMATHEMATICAL BOLD CAPITAL %sr-   r/   r
   r
   r   r1   w   r2   c                 C   s   i | ]}|t |qS r
   )b)r8   r0   r
   r
   r   r:   y   s      c                 c   s   | ]}|t |fV  qd S N)Br7   r
   r
   r   r?   z   s     c                 C   s   t d|   S rA   r-   r/   r
   r
   r   r1   }   r2   c                 C   s   t d|   S )NzMATHEMATICAL BOLD CAPITAL  %sr-   r/   r
   r
   r   r1   ~   r2   c                 C   s   i | ]}|t |qS r
   r5   r7   r
   r
   r   r:      s      c                 c   s.   | ]&}|d    |dd  t|fV  qdS r;   r=   r7   r
   r
   r   r?      s     u   𝛓ZZEROONEZTWOZTHREEZFOURZFIVEZSIXZSEVENZEIGHTZ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 BRACKETZ	SUMMATIONZINTEGRAL)+-=()[]{}{}sumintc                 C   s   t d|   S )NzLATIN SUBSCRIPT SMALL LETTER %sr-   letterr
   r
   r   r1      r2   c                 C   s   t d|   S )NzGREEK SUBSCRIPT SMALL LETTER %sr-   r]   r
   r
   r   r1      r2   c                 C   s   t dt|   S NzSUBSCRIPT %sr   
digit_2txtdigitr
   r
   r   r1      r2   c                 C   s   t dt|   S r_   r   	symb_2txtsymbr
   r
   r   r1      r2   c                 C   s   t d|   S )Nz!SUPERSCRIPT LATIN SMALL LETTER %sr-   r]   r
   r
   r   r1      r2   c                 C   s   t dt|   S NzSUPERSCRIPT %sr`   rb   r
   r
   r   r1      r2   c                 C   s   t dt|   S rh   rd   rf   r
   r
   r   r1      r2   Zaeioruvxhklmnpstin)betagammarhophichic                 C   s   g | ]}t |qS r
   )r*   )r8   ir
   r
   r   
<listcomp>   s     rp   
   z+-=()c                 C   s
   t | dS )Nu   ̊center_accentr&   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ⃜rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ⃛rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ̈rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ̇rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ̌rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ̆rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ́rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )N   ̀rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ̃rr   rt   r
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   r   r1      r2   c                 C   s
   t | dS )Nu   ̂rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ̅rr   rt   r
   r
   r   r1      r2   c                 C   s
   t | dS )Nu   ⃗rr   rt   r
   r
   r   r1      r2   c                 C   s   | d S Nu   ′r
   rt   r
   r
   r   r1      r2   c                 C   s   | d S rv   r
   rt   r
   r
   r   r1      r2   c                 C   s   d|  d S )Nu   ‖r
   rt   r
   r
   r   r1      r2   c                 C   s   d|  d S )Nu   ⟨u   ⟩r
   rt   r
   r
   r   r1      r2   c                 C   s   d|  d S N|r
   rt   r
   r
   r   r1      r2   c                 C   s   d|  d S rw   r
   rt   r
   r
   r   r1      r2   )ZmathringZddddotZdddotZddotdotcheckZbreveZacuteZgravetildeZhatbarvecprimeZprmnormavgabsmagc                 C   s   t dt|   S )Nz%s UPPER HOOKrd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz%s UPPER CORNERrd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz%s MIDDLE PIECErd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz%s EXTENSIONrd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz%s LOWER HOOKrd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz%s LOWER CORNERrd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz%s TOPrd   rf   r
   r
   r   r1      r2   c                 C   s   t dt|   S )Nz	%s BOTTOMrd   rf   r
   r
   r   r1      r2   rT   rU   rV   rW   rZ   rX   rY   zBOX DRAWINGS LIGHT VERTICALz5BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT TO LOWER LEFTz5BOX DRAWINGS LIGHT DIAGONAL UPPER LEFT TO LOWER RIGHT<>z
LEFT FLOORzRIGHT FLOORzLEFT CEILINGzRIGHT CEILINGr\   zTOP HALF INTEGRALzBOTTOM HALF INTEGRAL_ZOVERLINEzN-ARY SUMMATIONzBOX DRAWINGS LIGHT HORIZONTALzLOW LINE)rT   rU   rV   rW   rX   rY   rx   r   r   lfloorrfloorlceilrceilr\   r[   rR   r   /\)rx   r   r   rT   )rx   r   r   rU   ))rV   rV   rV   rV   ))rW   rW   rW   rW   ))rx   r   r   r   rX   ))rx   r   r   r   rY   rx   )r   r   )r   r   )z | z  /z/  rR   r   r   )rT   rU   rV   rW   rX   rY   rx   r   r   r\   rR   r   r   r   c                 C   sX  |dkrt dtrt}nt}||  }d } } }}t|tsF|}n^t|d trf|d }	|d }n|}	|	d }z|	d }|	d }|	d }W n tk
r   Y nX |dkr|}|dkr|}|dkr|}|dk	r|d dkr|d7 }n|}|dkr|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 0Nr<         )
ValueErrorr   _xobj_unicode_xobj_ascii
isinstancetuple
IndexError)rg   lengthZ_xobjZvinfoc1topbotmidextZvlongresnextZnmidr
   r
   r   xobj=  sR    




r   c                 C   s   d t| |S )zBConstruct vertical object of a given height

       see: xobj
    
joinr   )rg   heightr
   r
   r   r     s    c                 C   s   d t| |S )zCConstruct horizontal object of a given width

       see: xobj
    r   r   )rg   widthr
   r
   r   r     s    zSQUARE ROOTz	CUBE ROOTzFOURTH ROOT)r   r      c                 C   s   t d|  S )NzVULGAR FRACTION %s)r   )Ztxtr
   r
   r   r1     r2   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))r<   r   )r<   r   )r   r   )r<   r   )r   r   )r<      )r   r   )r   r   )r   r   )r<      )r   r   )r<      )r   r   )r   r   )   r   )rS   rS   )r   r   )r   r   <=zLESS-THAN OR EQUAL TO>=zGREATER-THAN OR EQUAL TO!=zNOT EQUAL TO):=r   )+=r   )-=r   )*=r   )/=r   )%=r   *zDOT OPERATOR-->zEM DASHzBLACK RIGHT-POINTING TRIANGLE==>zBOX DRAWINGS DOUBLE HORIZONTALzRING OPERATOR)z==r   r   r   r   r   r   r   r   r   r   r   r   r   r   .c                 C   s    t |  }tr|d S |d S dS )zget symbology for a 'character'r<   r   N)_xsymr   )symopr
   r
   r   r     s    zSCRIPT SMALL EzGREEK SMALL LETTER PIZINFINITYzDOUBLE-STRUCK ITALIC SMALL Iz	EMPTY SETzDOUBLE-STRUCK CAPITAL NzSUBSCRIPT ZEROzDOUBLE-STRUCK CAPITAL ZzDOUBLE-STRUCK CAPITAL QzDOUBLE-STRUCK CAPITAL RzDOUBLE-STRUCK CAPITAL CZUNION	INCREMENTZINTERSECTIONModifier Letter Low RingEmptySequence)Exp1PiInfinityNegativeInfinityImaginaryUnitEmptySetNaturals	Naturals0Integers	RationalsReals	ComplexesUnionSymmetricDifferenceIntersectionRingr   r   c                 C   sL   t r4|dk	r*| dkr*|jd dkr*tdS t|  S n|dk	r@|S tddS )z'return pretty representation of an atomNr   imaginary_unitjzDOUBLE-STRUCK ITALIC SMALL Jzonly unicode)r   	_settingsr   r"   r   )Z	atom_namedefaultprinterr
   r
   r   pretty_atom  s    
r   c           
         s   t s| S t| \}}}fdd| }dd }||t}|dk	rR||t}nd}|dkr|r|dd fdd|D  7 }|r|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 k	r&|S tt dd ddD ]F}|  |r<t| t|kr<t|  | d t|  |  S q<|rd	dd | D S | S )Nc                 S   s   t | S rC   len)kr
   r
   r   r1     r2   z2pretty_symbol.<locals>.translate.<locals>.<lambda>T)keyreverser   c                 S   s   g | ]}t | qS r
   )bold_unicoder8   cr
   r
   r   rp     s     z4pretty_symbol.<locals>.translate.<locals>.<listcomp>)
greek_bold_unicodegetr   sortedmodifier_dictkeyslowerendswithr   r   )r&   	bold_nameZgGr   )	translater
   r   r     s    
&z pretty_symbol.<locals>.translatec              
      sh   g }| D ]Z}  |}|d krXzd fdd|D }W n ttfk
rV   Y  d S X || q|S )Nr   c                    s   g | ]} | qS r
   r
   r   mappingr
   r   rp   $  s     z6pretty_symbol.<locals>.pretty_list.<locals>.<listcomp>)r   r   	TypeErrorr   append)r0   r   resultr&   prettyr
   r   r   pretty_list  s    

z"pretty_symbol.<locals>.pretty_listNr   c                    s   g | ]}| qS r
   r
   r8   r&   r   r   r
   r   rp   3  s     z!pretty_symbol.<locals>.<listcomp>__c                    s   g | ]}| qS r
   r
   r   r   r
   r   rp   5  s      r   )r   r   r   r   r   )
Z	symb_namer   r	   Zsupssubsr   Zpretty_supsZpretty_subsZsups_resultZsubs_resultr
   r   r   r     s&    

""

c                 C   s,   ddd}ddd}t r ||  S ||  S d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   r<   u   ╭─╮
│╶┐
╰─╯)Fr>   )r   r   r   r   z _
|_
|
)r   r   r   r<   z __
/__
\_|N)r   )r^   Z
ucode_picsZ
ascii_picsr
   r
   r   r   >  s    
	ru   u   ͯu   ⃐u   ⃰c                 C   s   t | tkS )z,Check whether symbol is a unicode modifier. )ord_remove_combining)r   r
   r
   r   is_combining\  s    r   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   r<   Nr   )stringaccentZmidpointZ	firstpartZ
secondpartr
   r
   r   rs   b  s    rs   c                 C   s   t | tS )zxUnicode combining symbols (modifiers) are not ever displayed as
    separate symbols and thus should not be counted
    )r   r   r   )liner
   r
   r   
line_width  s    r   )N)NN)F)P__doc__r   r   r   r   r   r   r   r   sympy.printing.conventionsr   Zsympy.core.alphabetsr   sympy.utilities.exceptionsr   __all__r   r   r'   r,   r6   r>   listZgreek_lettersindexr   updaterB   rD   r   gbZGBZgreek_bold_lettersr   ra   re   ZLSUBZGSUBZDSUBZSSUBZLSUPZDSUPZSSUPr   r   r0   glrangedr&   r   ZHUPZCUPZMIDZEXTZHLOZCLOZTOPZBOTr   r   r   r   r   rootZVFfracr   r   r"   r   r   r   dictfromkeysr   r   r   rs   r   r
   r
   r
   r   <module>   s  	
- D









=