o
    8Va_N                     @   s  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dd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ededfdfdedededfdfde6d}e6d}e8d}fedfde6d~e6d~e8d~fedfde6d}e4d}e6d}fedfde6d~e4d~e6d~fedfde6dededfed>fdeddededfedfdedde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eAdeAdeAdeAdeAdeAdeAdeAdeAddZBi ddÓddēddœddedǃfddedɃfdded˃fdd͓ddϓddѓddӓddՓddדddedكfddedۃrled܃rledۃedۃ ed܃ ndfddedރredރred܃redރedރ 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deddeddeddeddedd eddedddiZEdddZFdddZGdd ZHeIJee/eKd	eKd
ee/eKdeKd ZLdd ZMdd ZNdd ZOd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
   H/usr/lib/python3/dist-packages/sympy/printing/pretty/pretty_symbology.pyU
   s   r   )split_super_sub)greeks)SymPyDeprecationWarning)greek_unicodesubsupxsymvobjhobjpretty_symbol	annotatedFc                 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)flagZ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 )Nz``xstr`` functionz``str``z1.7)ZfeatureZ
useinsteadZdeprecated_since_version)r   r   str)argsr
   r
   r   xstrY   s   r*   c                 C      t d|   S )NzGREEK SMALL LETTER %sr   upperlr
   r
   r   <lambda>a       r0   c                 C   r+   )NzGREEK CAPITAL LETTER %sr,   r.   r
   r
   r   r0   b   r1   Zlamdalambdac                 C      i | ]}|t |qS r
   g.0Lr
   r
   r   
<dictcomp>i       r9   c                 c   0    | ]}|d    |dd  t|fV  qdS r      Nr-   Gr6   r
   r
   r   	<genexpr>j      . r@   ZLamdaZLambdau   ςZvarsigmac                 C   r+   NzMATHEMATICAL BOLD SMALL %sr,   r.   r
   r
   r   r0   r   r1   c                 C   r+   )NzMATHEMATICAL BOLD CAPITAL %sr,   r.   r
   r
   r   r0   s   r1   c                 C   r3   r
   )b)r7   r/   r
   r
   r   r9   u   r:   c                 c   s    | ]	}|t |fV  qd S N)Br6   r
   r
   r   r@   v   s    c                 C   r+   rB   r,   r.   r
   r
   r   r0   y   r1   c                 C   r+   )NzMATHEMATICAL BOLD CAPITAL  %sr,   r.   r
   r
   r   r0   z   r1   c                 C   r3   r
   r4   r6   r
   r
   r   r9      r:   c                 c   r;   r<   r>   r6   r
   r
   r   r@      rA   u   𝛓ZZEROZ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   r+   )NzLATIN SUBSCRIPT SMALL LETTER %sr,   letterr
   r
   r   r0      r1   c                 C   r+   )NzGREEK SUBSCRIPT SMALL LETTER %sr,   r]   r
   r
   r   r0      r1   c                 C      t dt|   S NzSUBSCRIPT %sr   
digit_2txtdigitr
   r
   r   r0      r1   c                 C   r_   r`   r   	symb_2txtsymbr
   r
   r   r0      r1   c                 C   r+   )Nz!SUPERSCRIPT LATIN SMALL LETTER %sr,   r]   r
   r
   r   r0      r1   c                 C   r_   NzSUPERSCRIPT %sra   rc   r
   r
   r   r0      r1   c                 C   r_   ri   re   rg   r
   r
   r   r0      r1   Zaeioruvxhklmnpstin)ZbetaZgammaZrhoZphiZchic                 C   s   g | ]}t |qS r
   )r(   )r7   ir
   r
   r   
<listcomp>       rl   
   z+-=()Zmathringc                 C   
   t | dS )Nu   ̊center_accentr&   r
   r
   r   r0         
 Zddddotc                 C   ro   )Nu   ⃜rp   rr   r
   r
   r   r0      rs   Zdddotc                 C   ro   )Nu   ⃛rp   rr   r
   r
   r   r0      rs   Zddotc                 C   ro   )Nu   ̈rp   rr   r
   r
   r   r0      rs   dotc                 C   ro   )Nu   ̇rp   rr   r
   r
   r   r0      rs   checkc                 C   ro   )Nu   ̌rp   rr   r
   r
   r   r0      rs   Zbrevec                 C   ro   )Nu   ̆rp   rr   r
   r
   r   r0      rs   Zacutec                 C   ro   )Nu   ́rp   rr   r
   r
   r   r0      rs   Zgravec                 C   ro   )N   ̀rp   rr   r
   r
   r   r0      rs   tildec                 C   ro   )Nu   ̃rp   rr   r
   r
   r   r0      rs   Zhatc                 C   ro   )Nu   ̂rp   rr   r
   r
   r   r0      rs   Zbarc                 C   ro   )Nu   ̅rp   rr   r
   r
   r   r0      rs   Zvecc                 C   ro   )Nu   ⃗rp   rr   r
   r
   r   r0      rs   Zprimec                 C      | d S Nu   ′r
   rr   r
   r
   r   r0          Zprmc                 C   rx   ry   r
   rr   r
   r
   r   r0      rz   Znormc                 C      d|  d S )Nu   ‖r
   rr   r
   r
   r   r0          Zavgc                 C   s   d|  d S )Nu   ⟨u   ⟩r
   rr   r
   r
   r   r0      r|   c                 C   r{   N|r
   rr   r
   r
   r   r0      r|   c                 C   r{   r}   r
   rr   r
   r
   r   r0      r|   )absZmagc                 C   r_   )Nz%s UPPER HOOKre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz%s UPPER CORNERre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz%s MIDDLE PIECEre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz%s EXTENSIONre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz%s LOWER HOOKre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz%s LOWER CORNERre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz%s TOPre   rg   r
   r
   r   r0      r1   c                 C   r_   )Nz	%s BOTTOMre   rg   r
   r
   r   r0      r1   rT   rU   rV   rW   rX   rZ   rY   r~   zBOX DRAWINGS LIGHT VERTICAL<z5BOX DRAWINGS LIGHT DIAGONAL UPPER RIGHT TO LOWER LEFTz5BOX DRAWINGS LIGHT DIAGONAL UPPER LEFT TO LOWER RIGHT>Zlfloorz
LEFT FLOORZrfloorzRIGHT FLOORZlceilzLEFT CEILINGZrceilzRIGHT CEILINGr\   zTOP HALF INTEGRALzBOTTOM HALF INTEGRALr[   _ZOVERLINEzN-ARY SUMMATIONrR   zBOX DRAWINGS LIGHT HORIZONTALzLOW LINE)/\)r~   r   r   rT   )r~   r   r   rU   ))rV   rV   rV   rV   ))rW   rW   rW   rW   ))r~   r   r   r   rX   ))r~   r   r   r   rY   )r   r   )r   r   )z | z  /z/  r   r   )rT   rU   rV   rW   rX   rY   r~   r   r   r\   rR   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 0Nr=         )
ValueErrorr   _xobj_unicode_xobj_ascii
isinstancetuple
IndexError)rh   lengthZ_xobjZvinfoZc1topZbotZmidextZvlongresnextZnmidr
   r
   r   xobj9  sV   



r   c                 C      d t| |S )zBConstruct vertical object of a given height

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

       see: xobj
    r   r   )rh   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   )Ztxtr
   r
   r   r0     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))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   z==)rS   rS   )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'r=   r   )_xsymr   )symopr
   r
   r   r     s   r   ZExp1zSCRIPT SMALL EZPizGREEK SMALL LETTER PIZInfinityZINFINITYZNegativeInfinityImaginaryUnitzDOUBLE-STRUCK ITALIC SMALL IZEmptySetz	EMPTY SETZNaturalszDOUBLE-STRUCK CAPITAL NZ	Naturals0zSUBSCRIPT ZEROZIntegerszDOUBLE-STRUCK CAPITAL ZZ	RationalszDOUBLE-STRUCK CAPITAL QZRealszDOUBLE-STRUCK CAPITAL RZ	ComplexeszDOUBLE-STRUCK CAPITAL CZUnionZUNIONZSymmetricDifferenceZ	INCREMENTZIntersectionZINTERSECTIONZRingzModifier Letter Low RingZEmptySequencec                 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   Zimaginary_unitjzDOUBLE-STRUCK ITALIC SMALL Jzonly unicode)r   Z	_settingsr   r"   r   )Z	atom_namedefaultZ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 rD   len)kr
   r
   r   r0     rz   z2pretty_symbol.<locals>.translate.<locals>.<lambda>T)keyreverser   c                 S   s   g | ]}t | qS r
   )bold_unicoder7   cr
   r
   r   rl     rm   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              
      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   rl      rm   z6pretty_symbol.<locals>.pretty_list.<locals>.<listcomp>)r   r   	TypeErrorr   append)r/   r   resultr&   Zprettyr
   r   r   pretty_list  s   
z"pretty_symbol.<locals>.pretty_listNr   c                       g | ]}| qS r
   r
   r7   r&   r   r   r
   r   rl   /  r:   z!pretty_symbol.<locals>.<listcomp>__c                    r   r
   r
   r   r   r
   r   rl   1  r:    r   )r   r   r   r   r   )
Z	symb_namer   r	   ZsupsZsubsr   Zpretty_supsZpretty_subsZsups_resultZ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   r=   u   ╭─╮
│╶┐
╰─╯)Fr?   )r   r   r   r   z _
|_
|
)r   r   r   r=   z __
/__
\_|)r   )r^   Z
ucode_picsZ
ascii_picsr
   r
   r   r   :  s   
	r   rv   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_combiningX  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   )stringZaccentZmidpointZ	firstpartZ
secondpartr
   r
   r   rq   ^  s   rq   c                 C   s   t | tS )zwUnicode combining symbols (modifiers) are not ever displayed as
    separate symbols and thus shouldn't be counted
    )r   r   r   )liner
   r
   r   
line_width{  s   r   rD   )NN)F)P__doc__r   r   r   r   r   r   r   r   Zsympy.printing.conventionsr   Zsympy.core.alphabetsr   Zsympy.utilities.exceptionsr   __all__r   r   r'   r*   r5   r?   listZgreek_lettersindexr   updaterC   rE   r   ZgbZGBZgreek_bold_lettersr   rb   rf   ZLSUBZGSUBZDSUBZSSUBZLSUPZDSUPZSSUPr   r   r/   glrangedr&   r   ZHUPZCUPZMIDZEXTZHLOZCLOZTOPZBOTr   r   r   r   r   rootZVFZfracr   r   r"   r   r   r   dictfromkeysr   r   r   rq   r   r
   r
   r
   r   <module>   s|   		
  	
 &- D
	

	

=