\cgC@dZddlmZddlZddlZddlZddlZddlZddlZddl Z ddl Z ddl Z ddl Z ddl Zddl mZddlZddlmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z#m$Z$m%Z%ddl&Z'ddl(m)Z)ddl*m+Z+m,Z,m-Z-m.Z.dd l/m0Z0m1Z1m2Z2dd l3m4Z4m5Z5m6Z6m7Z7dd l8m9Z:dd lm;Z<e:e<jzd krddlm>Z?nddlm?Z?ejr ddlAmBZBddl3mCZCejejdZFddZGGddeZHdeH_IGddeZJdeJ_IGddZKGddeZLGddeZMGddejZOGd d!eOej"ZQGd#d$eQZRGd%d&eQZSGd'd(eSej"ZTGd)d*eTZUGd+d,eTZVGd-d.eSZWGd/d0eWZXd1ZYd2ZZGd3d4Z[Gd5d6e[Z\Gd7d8e[Z]Gd9d:e[Z^Gd;de[Z`id?e`d@e`dAe_dBe\dCe\dDe\dEe\dFe\dGe\dHe\dIe]dJe]dKe]dLe]dMe]dNe]dOe]e`e`dPZaddRZbGdSdTZcGdUdVecZdGdWdXedZeGdYdZedZfGd[d\ecZgGd]d^egZhGd_d`edZiGdadbeiZjGdcddeiZkGdedfedZlGdgdhelZmGdidjelZnGdkdleZoeodmdnddmdeodmdndodmdeodmdnd dmdeodmdmddndeodmdmddndoeodmdmddnd eodmdmddmdeodmdnddpddqeo_pGdrdsecZqGdtduejZrGdvdwekZsGdxdyecZtGdzd{ejZuGd|d}ejZvddd~ZwddZxGddQZyddZzGddZ{y)z. Implementation details for :mod:`.mathtext`. ) annotationsN) NamedTuple)EmptyForwardLiteralNotAnyoneOf OneOrMoreOptionalParseBaseExceptionParseExceptionParseExpressionParseFatalException ParserElement ParseResults QuotedStringRegex StringEnd ZeroOrMorepyparsing_commonGroup)cbook)latex_to_bakomastix_glyph_fixesstix_virtual_fontstex2uni)FontPropertiesfindfontget_font)FT2FontFT2ImageKerning LoadFlags)parse) __version__) nestedExpr) nested_expr)Iterable)Glyphzmatplotlib.mathtextc t|S#t$rYnwxYw t|jdS#t$r}t |d|d}~wwxYw)z Return the integer index (from the Unicode table) of *symbol*. Parameters ---------- symbol : str A single (Unicode) character, a TeX command (e.g. r'\pi') or a Type1 symbol name (e.g. 'phi'). \z5 is not a valid Unicode character or TeX/Type1 symbolN)ord TypeErrorrstripKeyError ValueError)symbolerrs O/var/www/html/bid-api/venv/lib/python3.12/site-packages/matplotlib/_mathtext.pyget_unicode_indexr65sg 6{    v||D)** jM N s 5 AA  AcDeZdZUdZded<ded<ded<ded<ded <y ) VectorParsea The namedtuple type returned by ``MathTextParser("path").parse(...)``. Attributes ---------- width, height, depth : float The global metrics. glyphs : list The glyphs including their positions. rect : list The list of rectangles. floatwidthheightdepthz.list[tuple[FT2Font, float, int, float, float]]glyphsz'list[tuple[float, float, float, float]]rectsN__name__ __module__ __qualname____doc____annotations__r5r8r8Ks$  L M L :: 22rFr8cNeZdZUdZded<ded<ded<ded<ded<ded <y ) RasterParsea The namedtuple type returned by ``MathTextParser("agg").parse(...)``. Attributes ---------- ox, oy : float The offsets are always zero. width, height, depth : float The global metrics. image : FT2Image A raster image. r9oxoyr:r;r<r"imageNr?rErFr5rHrHas'  I I L M L OrFrHc(eZdZdZddZddZddZy) Outputz Result of `ship`\ping a box: lists of positioned glyphs and rectangles. This class is not exposed to end users, but converted to a `VectorParse` or a `RasterParse` by `.MathTextParser.parse`. c.||_g|_g|_yN)boxr=r>)selfrPs r5__init__zOutput.__init__s;= >@ rFc ttj|jj|jj |jj g\}}}|jDcgc];\}}}|j|j|j|||z |jzf=}}}}|jD cgc]\}} } } ||| z | |z | | z f} } } }} t|||z||| Scc}}}wcc} } } }wrO)mapnpceilrPr:r;r<r=fontfontsizenumoffsetr>r8) rQwhdrIrJinfogsx1y1x2y2rss r5 to_vectorzOutput.to_vectors GGdhhnndhhootxx~~FH1a#'++/"-,"b$yy$--2q2v 7KL"- /%)JJ0$.."b"b1r627BG,$. 01a!eQB// /0s .AC5C< c dtg|jDcgc]\}}}||jjz!c}}}|jDcgc] \}}}}| c}}}}ddz } tg|jDcgc]\}}}||jj z !c}}}|jDcgc] \}}}}| c}}}}ddz } t g|jDcgc]\}}}||jjz!c}}}|jDcgc] \}}}}| c}}}}ddz} t g|jDcgc]\}}}||jjz !c}}}|jDcgc] \}}}}| c}}}}ddz} | | z } | | z |jjz }| | z |jjz }tttj| ttj|t |dz}t!|j| | f}|jD]Y\}}}|j"j%|t|t||jj&z |j(|[|jD]\}}}}t t||z dz d}|dk(r||zdz }t||dzdz z }n t|}|j+t||ttj|||zt-dd| ||z||Scc}}}wcc}}}}wcc}}}wcc}}}}wcc}}}wcc}}}}wcc}}}wcc}}}}w)Nrr) antialiased)minr=metricsxminr>ymaxmaxxmaxyminrPr<r;r"intrUrVshiprWdraw_glyph_to_bitmapicebergglyphdraw_rect_filledrH)rQrgrIrJr^r`rarbrcrkrornrlr[r\r]rKshiftedr;centerys r5 to_rasterzOutput.to_rastersg?MRb4<<,,,M?/3zz:z^RRbz:?<=?@BCD?MRb4<<,,,M?/3zz:z^RRbz:?<=?@BCD?MRb4<<,,,M?/3zz:z^RRbz:?<=?@BCD?MRb4<<,,,M?/3zz:z^RRbz:?<=?@BCD 4K 4K$((.. ( 4K$((// )RWWQZ#bgga#a)m.D*EF txx4%$0#NNLBD II * *s2wB)=)=$= > ' + )+&mmNBBR"W)1-F{r'Q&1*!112G  " "3r7As2772;/?V L,1aAE1e44?N:M:M:M:s/$M6M=$N?N 3$N-N!$N#N*N)rPBox)returnr8)rgboolr{rH)r@rArBrCrRreryrErFr5rMrMxsA 0"5rFrMcleZdZUdZded<ded<ded<ded<ded<ded<ded <ded <d ed <y ) FontMetricsaa Metrics of a font. Attributes ---------- advance : float The advance distance (in points) of the glyph. height : float The height of the glyph in points. width : float The width of the glyph in points. xmin, xmax, ymin, ymax : float The ink rectangle of the glyph. iceberg : float The distance from the baseline to the top of the glyph. (This corresponds to TeX's definition of "height".) slanted : bool Whether the glyph should be considered as "slanted" (currently used for kerning sub/superscripts). r9advancer;r:rkrnrorlrsr|slantedNr?rErFr5r~r~s6(N M L K K K K N MrFr~cTeZdZUded<ded<ded<ded<d ed <d ed <ded <y)FontInfor!rWr9rXstrpostscript_namer~rjrprYr+rtrZNr@rArBrDrErFr5rrs' MO  H L MrFrceZdZdZd dZ ddZddZ ddZ ddZ ddZ ddZ dd Z dd Z dd Z y )Fontsz An abstract base class for a system of fonts to use for mathtext. The class must be able to take symbol keys and font file names and return the character metrics. It also delegates to a backend class to do the actual drawing. c ||_||_y)a Parameters ---------- default_font_prop : `~.font_manager.FontProperties` The default non-math font, or the base font for Unicode (generic) font rendering. load_glyph_flags : `.ft2font.LoadFlags` Flags passed to the glyph loader (e.g. ``FT_Load_Glyph`` and ``FT_Load_Char`` for FreeType-based fonts). N)default_font_propload_glyph_flags)rQrrs r5rRzFonts.__init__s"3 0rFc y)z Get the kerning distance for font between *sym1* and *sym2*. See `~.Fonts.get_metrics` for a detailed description of the parameters. rE) rQfont1 fontclass1sym1 fontsize1font2 fontclass2sym2 fontsize2dpis r5get_kernzFonts.get_kernsrFctrONotImplementedError)rQrWs r5 _get_fontzFonts._get_fonts!!rFctrOr)rQrW font_classsymrXrs r5 _get_infozFonts._get_info!!rFcD|j|||||}|jS)a# Parameters ---------- font : str One of the TeX font names: "tt", "it", "rm", "cal", "sf", "bf", "default", "regular", "bb", "frak", "scr". "default" and "regular" are synonyms and use the non-math font. font_class : str One of the TeX font names (as for *font*), but **not** "bb", "frak", or "scr". This is used to combine two font classes. The only supported combination currently is ``get_metrics("frak", "bf", ...)``. sym : str A symbol in raw TeX form, e.g., "1", "x", or "\sigma". fontsize : float Font size in points. dpi : float Rendering dots-per-inch. Returns ------- FontMetrics )rrj)rQrWrrrXrr^s r5 get_metricszFonts.get_metricss$2~~dJXsC||rFc j|j|||||} |jj||| fy)z At position (*ox*, *oy*), draw the glyph specified by the remaining parameters (see `get_metrics` for their detailed description). N)rr=append) rQoutputrIrJrWrrrXrr^s r5 render_glyphzFonts.render_glyph!s2 ~~dJXsC b"d^,rFcB|jj||||fy)zL Draw a filled rectangle from (*x1*, *y1*) to (*x2*, *y2*). N)r>rrQrr`rarbrcs r5render_rect_filledzFonts.render_rect_filled*s  RR,-rFct)zF Get the xheight for the given *font* and *fontsize*. rrQrWrXrs r5 get_xheightzFonts.get_xheight1s "##rFct)z Get the line thickness that matches the given font. Used as a base unit for drawing lines such as in a fraction or radical. rrs r5get_underline_thicknesszFonts.get_underline_thickness7s "##rFc ||fgS)a Override if your font provides multiple sizes of the same symbol. Should return a list of symbols matching *sym* in various sizes. The expression renderer will select the most appropriate size for a given situation from this list. rErQfontnamers r5!get_sized_alternatives_for_symbolz'Fonts.get_sized_alternatives_for_symbol>s3  rFNrrrr$rrrrrrrr9rrrrrrrr9rr9r{r9)rWrr{r!) rWrrrrrrXr9rr9r{r) rWrrrrrrXr9rr9r{r~)rrMrIr9rJr9rWrrrrrrXr9rr9r{None rrMr`r9rar9rbr9rcr9r{rrWrrXr9rr9r{r9rrrrr{zlist[tuple[str, str]])r@rArBrCrRrrrrrrrrrrErFr5rrs 1),47DI %"""!)"#.8-!$-+.-:?-FK-PT-.$.*/.5:.@E.JN.$ $!/2!7L!rFrceZdZdZd fd Zd dZ d dZ d dZ ddZddZ ddZ dfd Z xZ S) TruetypeFontsza A generic base class for all font setups that use Truetype fonts (through FT2Font). ct|||tj|j|_i|_i|_t|j}t|}||j d<||j d<y)Ndefaultregular) superrR functoolscacher_fontsfontmaprrr )rQrrfilename default_font __class__s r5rRzTruetypeFonts.__init__Osl *,<="8 -/ D223) !- I!- IrFc||jvr|j|}ntjt|}|jj |}|yt jj|rZt|}||j|<||j|j<||j|jj<tjt|SrO) rTcastrrgetospathexistsr rlowerr!)rQrWbasename cached_fonts r5rzTruetypeFonts._get_font[s 4<< ||D)Hvvc4(Hkkooh/  277>>(#;"8,K$/DKK !7BDKK 33 4?JDKK 3399; <vvg{++rFc^|jdk(r|jdz dz |dz |zdz zSy)NCmex10@rhr'Hr)rr;)rQrWrtrXrs r5 _get_offsetzTruetypeFonts._get_offsetjs:   8 +LL2%)hqj3.>r.AB BrFctrOr)rQrrrs r5 _get_glyphzTruetypeFonts._get_glyphprrFc |j|||\}}}|j|||j||j} d| jD\} } } } |j || ||}t | jdz | jdz | jdz | | | |z| |z| jdz |z| }t|||j||| |S)N)flagsc3&K|] }|dz  yw)rNrE).0vals r5 z*TruetypeFonts._get_info..{s!Ajs#(jr) rr;r:rkrnrorlrsr)rWrXrrjrYrtrZ) rset_size load_charrbboxrr~linearHoriAdvancer;r: horiBearingYrr)rQrrrrXrrWrYrrtrkrornrlrZrjs r5rzTruetypeFonts._get_infous!__Xz3Gc7 h$s$*?*?@!Aejj!AdD$!!$x=++e3<<"$++"&&+f4   00  rFc|j|}|j|||jd}|2|j|tj dd||}|j S|ddz |dz z|dz z}|S)Npcltmathtext.defaultxxHeightgP@g(@gY@)rrget_sfnt_tablermplrcParamsrs)rQrrXrrWrrjrs r5rzTruetypeFonts.get_xheights~~h' h$""6* <&&#,,'9:C3PG?? " ?T)ho>#+NrFcd|z|zdz S)Ng?gR@rErs r5rz%TruetypeFonts.get_underline_thicknesss(3.$66rFc "||k(rs||k(rn|j||||| } |j||||| } | j} | j| j| jtj dz St |||||||||| S)Nr)rrW get_kerningrYr#DEFAULTrr)rQrrrrrrrrrinfo1info2rWrs r5rzTruetypeFonts.get_kerns E>i94NN5*dIsKENN5*dIsKE::D##EIIuyy'//JRO Owz4 %z4CI IrFr)rWz str | intr{r!) rWr!rtr+rXr9rr9r{r9rrrrrrr{ztuple[FT2Font, int, bool]) rrrrrrrXr9rr9r{r)rrrXr9rr9r{r9rr) r@rArBrCrRrrrrrrr __classcell__rs@r5rrIs . ,#( "" 9"   !) > 7 I I), I47 IDI I I % I IrFr) metaclasscheZdZdZdddddddd Zd6fd Zed jZ d7d Z id gddgddgddgddgddgddgddgddgddgd d!gd"d#gd$d%gd&d'gd(d)gd*d+gd,d-gd.d/d0gd1d2gd3Z d4D] \Z Z e e e e < d8d5Z xZS)9 BakomaFontsz Use the Bakoma TrueType fonts for rendering. Symbols are strewn about a number of font files, each of which has its own proprietary 8-bit encoding. cmsy10cmr10cmtt10cmmi10cmb10cmss10cmex10)calrmttitbfsfexct|||_t| |||jj D].\}}t |}||j|<||j|<0yrO) StixFonts_stix_fallbackrrR_fontmapitemsrr)rQrrkeyrfullpathrs r5rRzBakomaFonts.__init__se'(9;KL *,<= ++-HC}H (DLL  (DLL .rF \int \ointcjd}||jvr;|tvr3t|\}}|dk(xs||jv}|j|}n1t |dk(r#|dk(}|j|}| t |}||j dk7r||fS|jj|||S)Nrrrr) rr_slanted_symbolsrlenr.get_char_indexrr)rQrrrrWrrYrs r5rzBakomaFonts._get_glyphs t|| #(>+C0MHc8+Lt7L7L0LG>>(+D X]4'G>>(+D#h   3 3C 8A =g% %&&11(JL LrF())rr)r¡)r³)rµ)rÃ)))rr)r¢)r´)r¶)r!{))rr)r©)rn)r½)rr}))rr)rª)ro)r¾)rr[))rr#)r£)rr\)r"]))rr&)r¤)ri)r#z\lfloor))r¥)rj)r¹)r$z\rfloor))r¦)rk)rº)r%z\lceil))r§)rl)r»)r&z\rceil))r¨)rm)r¼)r'z\langle))r­rD)r¿)r*z\rangle))r®rE)rÀ)r+ \__sqrt__))rp)rq)rr)rsz \backslash))r²)r/)rÂ)r-rJ))rrJ)r±)r.)rË)r,z\widehat))r^)rb)rc)rr]z \widetilde))r~)re)rf)rg)rr\r;)rr(r@)<>) )z \leftparenr)z \rightparentr)z \leftbracer)z \rightbracer)z \leftbracketr#)z \rightbracketr&)\{r)\}r)\[r#)\]r&c@|jj|||fgSrO)_size_alternativesrrs r5rz-BakomaFonts.get_sized_alternatives_for_symbols"&&**3(C0ABBrFrrr)r@rArBrCrrRsetsplitrrr_aliastargetrrrs@r5rrsH)=..01MM 9M('  8'  8' 8 '  8'  ('  ('  8' " 8#' & 8'' * 8+' . 8/' 2 83' 6 87' : 8;' > 8?' B (C' F (G' J%k2$k2M' R ( v%7v$>5! (C/2C7LCrFrceZdZdZdddZd fd ZedjZ d dZ d dZ d d Z xZ S) UnicodeFontsa` An abstract base class for handling Unicode fonts. While some reasonably complete Unicode fonts (such as DejaVu) may work in some situations, the only Unicode font I'm aware of with a complete set of math symbols is STIX. This class will "fallback" on the Bakoma fonts when a required symbol cannot be found in the font. )i"cPtjd}tttdj |}|r |||nd|_t |!||djD]2}tjd|z}t|}||j|<4td}t|}||jd<t|j trKddd d d d d }|jD].\} } t| } | |j| <| |j| <0yy)Nzmathtext.fallback)stixstixsanscmzcal rm tt it bf sf bfitz mathtext.rr STIXGeneralSTIXSizeOneSymSTIXSizeTwoSymSTIXSizeThreeSymSTIXSizeFourSymSTIXSizeFiveSym)rrrhr')rrr StixSansFontsrr_fallback_fontrrRrarrr isinstancer ) rQrr fallback_rcfont_clstexfontproprWstixsizedaltfontssizenamer rs r5rRzUnicodeFonts.__init__0s1ll#67 %0  #k   #+ ((9;KL04  *,<=0668G<< g 56DD>D$(DLL !9h'~! T d))9 5!$$&%% !' 0557 d#D>%- T"%- T"8 6rFr c ||fSrOrE)rQrruniindexs r5_map_virtual_fontzUnicodeFonts._map_virtual_fontUs !!rFcj t|}d}|j |||\}}|}|r|dk(rQ|dkrLt |}tj|ddk7s$tj|jd rd }|dk(xs||jv}d}|j|} | b||jvr<| jd k(r-tt!j"d } |j|}| j%|} | dk7rd}|s|j&r|d vrt)|j&t*rd }|j&j-|||} | dj} | t/t0j2j5vrd} tj7d|| | S|d vr#t)|t*r|j-d ||Stj d||||jd } d}d} |fS#t$r'td}d}tj d|Y"wxYw)NT?Fz!No TeX to Unicode mapping for %a.rrrLz GREEK CAPITALrrzfonts/ttf/cmsy10.ttf)rrzComputer ModernzSubstituting symbol %s from %szNFont %r does not have a glyph for %a [U+%x], substituting with a dummy symbol.)r6r2r._logwarningrchr unicodedatacategoryr~ startswithrr_cmr10_substitutions family_namer r_get_data_pathrrvrwrrlistrrvaluesr^) rQrrrr found_symbol new_fontnamecharrrW glyphindexrWfamilys r5rzUnicodeFonts._get_glyphYsG C(-HL "33 j(,(  4Hw$68}((.q1S8&++D1<<_M#'L#t+Lt7L7L0LG L>>,/D 9 99 ,,7#,,-CDFD#88BH!00: ?#'L"" 11&t':':IF#H''228ZM1))T+"6"6"="="?@@.F :CH 11&tY7??4SAA A)3:~~d+Xw&&q C3xH L LL>$'D!00: ? 7-dJDD7%h C@ @rFrr)r@rArBrrDrRrrrs@r5rrs1%'H"'**AA 9AArFrc &eZdZdZddddddddd Zy ) rzv A font handling class for the DejaVu Serif fonts If a glyph is not found it will fallback to Stix Serif DejaVu SerifzDejaVu Serif:italiczDejaVu Serif:weight=boldzDejaVu Serif:italic:bold DejaVu SansDejaVu Sans MonozDejaVu Serif DisplayrrrbfitrrrrNr@rArBrCrrErFr5rrs( #(* $ HrFrc &eZdZdZdddddddddZy ) DejaVuSansFontszt A font handling class for the DejaVu Sans fonts If a glyph is not found it will fallback to Stix Sans rzDejaVu Sans:italiczDejaVu Sans:weight=boldzDejaVu Sans:italic:boldrzDejaVu Sans DisplayrNrrErFr5rrs( "') # HrFrceZdZUdZddddddddd d d d d d Zded<dZdZddZ ddZ e j ddZ y)raa A font handling class for the STIX fonts. In addition to what UnicodeFonts provides, this class: - supports "virtual fonts" which are complete alpha numeric character sets with different font styles at special Unicode code points, such as "Blackboard". - handles sized alternative characters for the STIXSizeX fonts. rmzSTIXGeneral:italiczSTIXGeneral:weight=boldzSTIXGeneral:italic:boldSTIXNonUnicodezSTIXNonUnicode:italiczSTIXNonUnicode:weight=boldrnrorprqrr) rrrrnonunirmnonuniitnonunibfrrrhr'rsrtrrNFctj||||jjD].\}}t |}||j |<||j |<0yrO)rrRrr rrrs r5rRzStixFonts.__init__ sVt%68HI,,.IC~H (DLL !)DLL /rFcZtj|}|jr||dvr td}d}nd}t|tr ||}nt|t r|}nd}|}d}t|}||kr,||zdz} || } || dkr| }n|| dkrn | dz}||kr, d|cxkr| dkrnn|| dz | d z}| d}n|sd}tjd }|d vrtj||}|d vrd |cxkrdkr n||fSd|z}||fS#t $r|d}YwxYw)N)rrrTFrrrhrr'r)rr)rrrriinonuni) rr_sansrwdictr1rrrrr) rQrrr font_mappingdoing_sans_conversionmappinglohimidranges r5rzStixFonts._map_virtual_fonts*--h7 JJ</$::-d3L$( !$) ! lD ) -&z2 d +"GG  BWBr'"uqj eAh&Bq)qBr'Qx8/uQx/#eAh.q9 8*<<(:; | #'++Hh?H 1 1f6RF6R!! (*H!!K -&t, -sDD*)D*c&ddddddd}|j||} t|}tdDcgc]2}|j |j |d k7r |t |f4}}|d k(r|dd }|S#t$r||fgcYSwxYwcc}w) Nrrr#r&u⟨u⟩)rZr[r\r]rXrYrrD)rr6r2rrrr)rQrrfixesrr( alternativess r5rz+StixFonts.get_sized_alternatives_for_symbolHs s3s67  iiS! %(-H5:!HLHq>>!,;;HEJCM*H L , ',L %sO$ $ %Ls A:7B:B  B rr)rrrrr{z-list[tuple[str, str]] | list[tuple[int, str]]) r@rArBrCrrDrvrrRrrrrrErFr5rrs "')$+0      &H"N E*4"$'4",;4"l__GrFrceZdZdZdZy)ruzd A font handling class for the STIX fonts (that uses sans-serif characters by default). TN)r@rArBrCrrErFr5ruru`s ErFruffffff?rceZdZUdZdZded<dZded<dZded<d Zded <d Z ded <d Z ded<dZ ded<dZ ded<y)FontConstantsBasez A set of constants that controls how certain things, such as sub- and superscripts are laid out. These are all metrics that can't be reliably retrieved from the font metrics in the font itself. 皙?zT.ClassVar[float] script_spaceg?subdroprsup1333333?sub1?sub2g?delta皙? delta_slanted皙?delta_integralN) r@rArBrCrrDrrrrrrrrErFr5rrso '+L#*"%G $"D !"D !"D ! %E $ (+M$*),N%+rFrc,eZdZdZdZdZdZdZdZdZ dZ y)ComputerModernFontConstantsg333333?rg?rN) r@rArBrrrrrrrrrErFr5rrs*LG D D D EMNrFrc$eZdZdZdZdZdZdZdZy)STIXFontConstantsr皙?333333?rrN) r@rArBrrrrrrrErFr5rrs L D D EMNrFrceZdZdZdZdZdZy)STIXSansFontConstantsrrrrN)r@rArBrrrrrErFr5rrsL DMNrFrc eZdZy)DejaVuSerifFontConstantsNr@rArBrErFr5rrrFrc eZdZy)DejaVuSansFontConstantsNrrErFr5rrrrFrrrrrrrrrrrrmrrrrqrprorn)zBitstream Vera SanszBitstream Vera ParserStatectj|jj|jj t }|tur t|jtrtS|SrO) _font_constant_mappingrfontsetrrWrrrrwrur)state constantss r5_get_font_constant_setrsW&**  +779JLI && u}}m 4$$ rFc8eZdZdZddZd dZd dZddZd dZy) NodezA node in the TeX box model.cd|_yNrr}rQs r5rRz Node.__init__s  rFc,t|jSrO)typer@rs r5__repr__z Node.__repr__sDz"""rFcyNrrE)rQnexts r5rzNode.get_kerningsrFc.|xjdz c_y)z Shrinks one level smaller. There are only three levels of sizes, after which things will no longer get smaller. rNrrs r5shrinkz Node.shrinks Q rFcy)zRender this node.NrErQrrrxs r5renderz Node.rendersrFNr{rr{rrz Node | Noner{r9rrMrr9rxr9r{r) r@rArBrCrRrrrrrErFr5rrs&# rFrcLeZdZdZdfd Zdfd Z ddZxZS)rzz A node with a physical location.cLt|||_||_||_yrO)rrRr:r;r<)rQr:r;r<rs r5rRz Box.__init__ s#    rFct||jtkrL|xjt zc_|xj t zc_|xjt zc_yyrO)rrr}NUM_SIZE_LEVELSr: SHRINK_FACTORr;r<rQrs r5rz Box.shrinksH  99 & JJ= (J KK= (K JJ= (J 'rFcyrOrErs r5rz Box.renders rF)r:r9r;r9r<r9r{rrr)r@rArBrCrRrrrrs@r5rzrz s=* )  # ). 49 >B rFrzc$eZdZdZdfd ZxZS)Vboxz$A box with only height (zero width).c(t|d||yrrrR)rQr;r<rs r5rRz Vbox.__init__!s VU+rF)r;r9r<r9r@rArBrCrRrrs@r5rrs.,,rFrc$eZdZdZdfd ZxZS)Hboxz.A box with only width (zero height and depth).c(t||ddyrrrQr:rs r5rRz Hbox.__init__(s B'rFr:r9rrs@r5r r %s8((rFr cXeZdZdZd fd Zd dZd dZd dZd dZddZ d fd Z xZ S)Chara A single character. Unlike TeX, the font information and metrics are stored with each `Char` to make it easier to lookup the font metrics when needed. Note that TeX boxes have a width, height, and depth, unlike Type1 and TrueType which use a full bounding box and an advance in the x-direction. The metrics must be converted to the TeX model, and the advance (if different from width) must be converted into a `Kern` node when the `Char` is added to its parent `Hlist`. ct|||_|j|_|j|_|j |_|j |_|j|_|jyrO) rrRrSrrWrrXr_update_metrics)rQrSrrs r5rRz Char.__init__9s\ }} JJ ** 99 rFc d|jzS)Nz`%s`rSrs r5rz Char.__repr__EsrFcx|jj|j|j|j|j |j x}|_|jdk(r|j|_ n|j|_ |j|_ |j|jz |_ y)N ) rrrWrrSrXr_metricsrr:rsr;r<rQrjs r5rzChar._update_metricsHs"&,,":": IIt txx#I I$- 66S= DJ DJoo 78 rFc.|jjSrO)rrrs r5 is_slantedzChar.is_slantedRs}}$$$rFc p|jj|jz }d}t|tr}|j j |j|j|j|j|j|j|j|j|j }||zS)z Return the amount of kerning between this and the given character. This method is called when characters are strung together into `Hlist` to create `Kern` nodes. r) rrr:rwrrrrWrrSrXr)rQrrkerns r5rzChar.get_kerningUs--''$**4 dD !<<(( 4??DFFDMM 4??DFFDMMD~rFc |jj||||j|j|j|j |j yrO)rrrWrrSrXrrs r5rz Char.renderes; !! Aq IIt txx IrFct||jtkre|xjt zc_|xj t zc_|xjt zc_|xjt zc_yyrO) rrr}rrXrr:r;r<rs r5rz Char.shrinkjsV  99 & MM] *M JJ] *J KK] *K JJ] *J 'rF)rSrrrrr)r{r|rr) r@rArBrCrRrrrrrrrrs@r5rr,s1  9% I ++rFrc4eZdZdZddZdfd ZddZxZS)Accentz The font metrics need to be dealt with differently for accents, since they are already offset correctly from the baseline in TrueType fonts. c:|jj|j|j|j|j |j x}|_|j|jz |_ |j|jz |_ d|_yr)rrrWrrSrXrrrnrkr:rlror;r<rs r5rzAccent._update_metricsyso"&,,":": IIt txx#I I$-\\GLL0 llW\\1  rFcBt||jyrO)rrrrs r5rz Accent.shrinks  rFc |jj|||jjz ||jjz|j |j |j|j|jyrO) rrrrkrorWrrSrXrrs r5rz Accent.rendersY !! A ***A 0B0B,B IIt txx IrFrr)r@rArBrCrrrrrs@r5rrss IrFrcLeZdZdZdfd Zdfd Z ddZd fd ZxZS) Listz0A list of nodes (either horizontal or vertical).crt|dddd|_g||_d|_d|_d|_y)Nrr)rrR shift_amountchildrenglue_set glue_sign glue_orderrQelementsrs r5rRz List.__init__s< R$#(   rFcdjt| |j|j|j |j dj|jDcgc] }t|c}Scc}w)Nz/{}[{}]z, ) formatrrr:r;r<r%joinr&repr)rQrrs r5rz List.__repr__se@GG G   JJ JJ)) II 6 1tAw 6 7 9 97sA<cRtfdttdddDdx|_}||_|dk7r||z |_nd|_d|_|dk(rBt|jr,tjd|t|j|yyy)Nc34K|]}|dk7s |yw)rNrE)rr(totalss r5rz!List._set_glue..s C01F1INQ0s rrrz %s %s: %r) rrrr)r(r' glue_ratior&rrrr@)rQrsignr2 error_typer!s ` r5 _set_gluezList._set_glues" Cc&k*4R40 CQH H! !9?q MDMDN DO 64==! ['d)<)26AAqxx!|,AAqww{+AAt$KK Y__$i556):K:KK6Y334 8H8HH4At$QWW #$   FA E 7DNDO DO  r6 NN1a : NN1b, ;rF)rrFT)r+r9r[r9r7"T.Literal['additional', 'exactly']r>r|rrrF)r[r9r7rRr{r)r@rArBrCrRrr=rrs@r5r;r;sF%>A9E!%6)2 #6B?<3?26AAqww{+AAt$QKK Y__$i556):K:KK6Y334 8H8HH4At$Q[ At$"GII%* q5 QJADJDJ  FA E 6DNDO DO  r6 NN1a : NN1b, ;rFrS)r+r9r\r9r7rR)r\r9r7rRr3r9r{r) r@rArBrCrRrUinfrWrrs@r5rUrUsI#>A9E6 #6BG<3G<G<$(GDrFr\c&eZdZdZddfd ZxZS)Hrulez.Convenience class to create a horizontal rule.cx||j}|dzx}}t| tj|||y)Nrget_current_underline_thicknessrrRrUrZ)rQr thicknessr;r<rs r5rRzHrule.__init__s<  ==?I"S( 6rFrO)rrrd float | Nonerrs@r5r`r`s877rFr`c$eZdZdZdfd ZxZS)Vrulez,Convenience class to create a vertical rule.c|j}t| |tjtj|yrOrb)rQrrdrs r5rRzVrule.__init__s,99;  BFFBFFE:rF)rrrrs@r5rgrgs6;;rFrgc@eZdZUded<ded<ded<ded<ded<y) _GlueSpecr9r:rNrprMrrONrrErFr5rjrjs L N MrFrjr?rhg)filfillfilllneg_filneg_fill neg_filllemptyssc4eZdZdZ dfd Zdfd ZxZS)rKa Most of the information in this object is stored in the underlying ``_GlueSpec`` class, which is shared between multiple glue objects. (This is a memory optimization which probably doesn't matter anymore, but it's easier to stick to what TeX does.) ct|t|trtj |}||_yt|tr |}||_yt d)Nz.glue_type must be a glue spec name or instance)rrRrwrrj_namedr2rL)rQ glue_typerLrs r5rRz Glue.__init__s[  i %!((3I #  9 -!I#MN NrFct||jtkr5|j}|j |j tz|_yy)Nr:)rrr}rrL_replacer:r)rQrWrs r5rz Glue.shrinksB  99 &AZZagg .EZFDN 'rF)rwz`_GlueSpec | T.Literal['fil', 'fill', 'filll', 'neg_fil', 'neg_fill', 'neg_filll', 'empty', 'ss']r)r@rArBrCrRrrrs@r5rKrKs$ #A #GGrFrKc$eZdZdZdfd ZxZS) HCenteredzl A convenience class to create an `Hlist` whose contents are centered within its enclosing box. cVt|tdg|tddy)NrsFr>rrRrKr*s r5rRzHCentered.__init__s* $t*>rFrc@eZdZdZdZdZdfd ZddZdfd ZxZ S) r@a A `Kern` node has a width field to specify a (normally negative) amount of spacing. This spacing correction appears in horizontal lists between letters like A and V when the font designer said that it looks better to move them closer together or further apart. A kern node can also appear in a vertical list, when its *width* denotes additional spacing in the vertical direction. rc0t|||_yrO)rrRr:r s r5rRz Kern.__init__s  rFc d|jzS)Nzk%.02fryrs r5rz Kern.__repr__s$**$$rFc|t||jtkr|xjt zc_yyrO)rrr}rr:rrs r5rz Kern.shrinks,  99 & JJ- 'J 'rFr rr) r@rArBrCr;r<rRrrrrs@r5r@r@s(F E%((rFr@c.eZdZdZ d dfd ZxZS)AutoHeightChara A character as close to the given height and depth as possible. When using a font with multiple height versions of some characters (such as the BaKoMa fonts), the correct glyph will be selected, otherwise this will always just return a scaled version of the glyph. c||jj|j|}|jj|j|j|j }|j }||z} |D]<\} } | |_t| |} | j| jz| d|zz k\s<nd} |jdk7st|dk(rN||  j| jzz }|xj|zc_t |} || jz } t|1 g| |_ y)Nrrrr)rrrWrrXrcopyrr;r<rrrRr%)rQrSr;r<ralwaysfactorrr target_totalrrrshiftrs r5rRzAutoHeightChar.__init__s}}FF JJ --++ JJ 3 ~ )MHc!EJU#D{{TZZ'<#-+GG * ::?c,/14~%tzz)AB NNf $NU#DTZZ'E $ !rF)FN) rSrr;r9r<r9rrrr|rrerrs@r5rrs(?C""/;""rFrc,eZdZdZdef dfd ZxZS) AutoWidthChara A character as close to the given width as possible. When using a font with multiple width versions of some characters (such as the BaKoMa fonts), the correct glyph will be selected, otherwise this will always just return a scaled version of the glyph. Fcd|jj|j|}|j}|D]&\}}||_|||} | j|k\s&n| jz } |xj | zc_||} t || g| j|_yrO)rrrWrr:rXrrR) rQrSr:rr char_classrrrrrrs r5rRzAutoWidthChar.__init__$s}}FF JJ  )MHc!EJc5)DzzU" * # & #u% $ ZZ rF) rSrr:r9rrrr|rz type[Char])r@rArBrCrrRrrs@r5rrs$QV*. '  rFrc  |\}}dd|||jz t| ddd fd d fd t|tsJ| S)a Ship out *box* at offset *xy*, converting it to an `Output`. Since boxes can be inside of boxes inside of boxes, the main work of `ship` is done by two mutually recursive routines, `hlist_out` and `vlist_out`, which traverse the `Hlist` nodes and `Vlist` nodes inside of horizontal and vertical boxes. The global variables used in TeX to store state as it processes have become local variables here. rc"|dkrdS|dkDrdS|S)NgegeArE)values r5clampzship..clampIst|tHH5HrFc d}d}|j}|j}}}|jD]S}t|tr)|j zz|j z =t|tr|j z ]t|trt|jdk(r|j z }||jzt|tr |n t|tr |nJd||j z|t|tr|j} |j} |j } t!j"| r |j} t!j"| r |j} | dkDr'| dkDr"|| z|j zz| | || z t|t$s|j&} | j |z } |dk7r~|dk(r=| j(|k(rj|| j*z }t- |j.|z}n<| j0|k(r-|| j2z }t- |j.|z}| |z } | z Vy)Nrrunreachable coder)r)r(r&rwrrr:r@r#rr%r;rUrzr;r<rUrIrKrLrMrNroundr'rOr)rPcur_gcur_gluer)r( base_line left_edgerEedge rule_height rule_depth rule_widthrLrcur_hcur_v hlist_outoff_hoff_vr vlist_outs r5rzship..hlist_outLsB^^ MM   A!T" > At$ At$qzz?a'QWW$E D%6E!!U+!! #Au-!! 8&88u 177NE%EAs#hh WW WW 88K("%**K88J'!$J?zA~% 2EHHV"U]EEM'6&E#At$KK &__u4 > A~$22j@$ (9(99H$)% x0G*H$IE"//:= I$4$44 %eCLL8,C&D Ee# #grFc d}d}|j}|j}}|jz}|jD]C}t |t r|j z $t |trt|jdk(r|j|jzz i|jz ||jz}|j |_t |tr |n t |tr |nJd||jz|t |trz|j} |j} |j } tj| r |j } | | z } | dkDsF| dkDsM| z |j!zz| | ot |t"r|j$} | j |z } |dk7r~|dk(r=| j&|k(rj|| j(z }t+ |j,|z}n<| j.|k(r-|| j0z }t+ |j,|z}| |z } | z )t |t2s;t5dy)Nrrrrz1Internal mathtext error: Char node found in vlist)r)r(r;r&rwr@r:r#rr<r%r;rUrzrUrIrrKrLrMrNrr'rOrrrY)rPrrr)r(rtop_edgerEsave_vrrrrLrrrrrrrrs r5rzship..vlist_outsE^^ MM   A!T" At$qzz?a'QXX//EQXX%E%6E"F!iiAG!!U+!! #Au-!! 8&88u"QWW,E%EAs#hh WW WW 88J'!$Jz) ?zA~[(EHHV"U]EEM'6At$KK 'oo5 > A~$22j@$ (9(99H$)% x0G*H$IE"//:= I$4$44 %eCLL8,C&D Eu$ $At$"GII[rF)rr9r{r9)rPr;r{r)rPrUr{r)r;rMrwr;) rPxyrIrJrrrrrrrrs @@@@@@@@r5rqrq8soFB E E E OE C[FI=$=$~9I9Iv c5 !! ! cN MrFcBdfd }tj|S)z$Helper class to raise parser errors.ct||rOr)rHloctoksmsgs r5 raise_errorzError..raise_errors!!S#..rFrHrrrprrr{T.Any)rsetParseAction)rrs` r5Errorrs/ 7 ! !+ ..rFcdeZdZdZ ddZd dZed dZejd dZd dZ y) ra Parser state. States are pushed and popped from a stack as necessary, and the "current" state is always at the top of the stack. Upon entering and leaving a group { } or math/non-math, the stack is pushed and popped accordingly. cJ||_||_||_||_||_yrO)r_fontrrXr)rQrrWrrXrs r5rRzParserState.__init__s%  $  rFc,tj|SrO)rrs r5rzParserState.copysyyrFc|jSrO)rrs r5rWzParserState.fonts zzrFc(|dvr||_||_y)N)rrrr)rr)rQr~s r5rWzParserState.fonts - -"DO rFcx|jj|j|j|jS)z.Return the underline thickness for this state.)rrrWrXrrs r5rcz+ParserState.get_current_underline_thicknesss,||33 IIt}}dhh0 0rFN) rrrWrrrrXr9rr9r{rr)r~rr{r)r{r9) r@rArBrCrRrpropertyrWsetterrcrErFr5rrsJ [[ 0rFcdfd |jddd}||k(r!|djd|Dzn|}||td|zz S) a Helper to define TeX commands. ``cmd("\cmd", args)`` is equivalent to ``"\cmd" - (args | Error("Expected \cmd{arg}{...}"))`` where the names in the error message are taken from element names in *args*. If *expr* already includes arguments (e.g. "\cmd{arg}{...}"), then they are stripped when constructing the parse element, but kept (and *expr* is used as is) in the error message. c3Kt|tr"|jD]}|Ed{y|jr|jyy7#wrO)rwrexprs resultsName)eltexprnamess r5rzcmd..names sG c? +  ;&&" __// !'s+AA$Arrrc3&K|] }d|z yw)z{%s}NrE)rr~s r5rzcmd..sBkdFTMkrz Expected )rrr{zT.Generator[str, None, None])rar.r)rargscsnamer4rs @r5cmdrsg"ZZQ  "Ffn BGGBeDkBB B"& TEIcU"344 55rFc eZdZdZGddej ZedjZ edjZ edjZ e e ze zZ edjZ edjZed jZed jZed jZed jZed jZedjZedjZeezezZeeededdzDcgc]?}t3j4t7|jdj9Ac}}}}Zeej>Z dfdZ!dgdZ"dhdZ#dfdZ$dfdZ%didZ&djdZ'dkdZ(dkdZ)e*e+jXZ-dkdZ.dldZ/dddd d d!d"d"d#dd$d%d& Z0dkd'Z1dkd(Z2 dmd)Z3dnd*Z4id+d,d-d.d/d0d1d2d3d4d5d6d7d8d9d:d;d<d=d>d?d@dAd:dBd2dCd4dDd6dEd8dFd,dGdHdIdJZ5edKjZ6dkdLZ7dndMZ8dndNZ9dkdOZ:dkdPZ;dkdQZdndSZ?dkdTZ@dpdUZAdpdVZBdpdWZCdnfdX ZD dqdYZEdkdZZFdkd[ZGdkd\ZHdkd]ZIdkd^ZJdnd_ZKeKxZLZMdkd`ZNdkdaZO drdbZPdkdcZQdkddZRdkdeZSxZTScc}}}}w)sParserz A pyparsing-based parser for strings containing math expressions. Raw text may also appear outside of pairs of ``$``. The grammar is based directly on that in TeX, though it cuts a few corners. ceZdZdZdZdZdZy)Parser._MathStylerrrhr'N)r@rArB DISPLAYSTYLE TEXTSTYLE SCRIPTSTYLESCRIPTSCRIPTSTYLErErFr5 _MathStylers   rFru+ * - − \pm \sqcap \rhd \mp \sqcup \unlhd \times \vee \unrhd \div \wedge \oplus \ast \setminus \ominus \star \wr \otimes \circ \diamond \oslash \bullet \bigtriangleup \odot \cdot \bigtriangledown \bigcirc \cap \triangleleft \dagger \cup \triangleright \ddagger \uplus \lhd \amalg \dotplus \dotminus \Cap \Cup \barwedge \boxdot \boxminus \boxplus \boxtimes \curlyvee \curlywedge \divideontimes \doublebarwedge \leftthreetimes \rightthreetimes \slash \veebar \barvee \cupdot \intercal \amalg \circledcirc \circleddash \circledast \boxbar \obar \merge \minuscolon \dotsminusdots aF = < > : \leq \geq \equiv \models \prec \succ \sim \perp \preceq \succeq \simeq \mid \ll \gg \asymp \parallel \subset \supset \approx \bowtie \subseteq \supseteq \cong \Join \sqsubset \sqsupset \neq \smile \sqsubseteq \sqsupseteq \doteq \frown \in \ni \propto \vdash \dashv \dots \doteqdot \leqq \geqq \lneqq \gneqq \lessgtr \leqslant \geqslant \eqgtr \eqless \eqslantless \eqslantgtr \lesseqgtr \backsim \backsimeq \lesssim \gtrsim \precsim \precnsim \gnsim \lnsim \succsim \succnsim \nsim \lesseqqgtr \gtreqqless \gtreqless \subseteqq \supseteqq \subsetneqq \supsetneqq \lessapprox \approxeq \gtrapprox \precapprox \succapprox \precnapprox \succnapprox \npreccurlyeq \nsucccurlyeq \nsqsubseteq \nsqsupseteq \sqsubsetneq \sqsupsetneq \nlesssim \ngtrsim \nlessgtr \ngtrless \lnapprox \gnapprox \napprox \approxeq \approxident \lll \ggg \nparallel \Vdash \Vvdash \nVdash \nvdash \vDash \nvDash \nVDash \oequal \simneqq \triangle \triangleq \triangleeq \triangleleft \triangleright \ntriangleleft \ntriangleright \trianglelefteq \ntrianglelefteq \trianglerighteq \ntrianglerighteq \blacktriangleleft \blacktriangleright \equalparallel \measuredrightangle \varlrtriangle \Doteq \Bumpeq \Subset \Supset \backepsilon \because \therefore \bot \top \bumpeq \circeq \coloneq \curlyeqprec \curlyeqsucc \eqcirc \eqcolon \eqsim \fallingdotseq \gtrdot \gtrless \ltimes \rtimes \lessdot \ne \ncong \nequiv \ngeq \ngtr \nleq \nless \nmid \notin \nprec \nsubset \nsubseteq \nsucc \nsupset \nsupseteq \pitchfork \preccurlyeq \risingdotseq \subsetneq \succcurlyeq \supsetneq \varpropto \vartriangleleft \scurel \vartriangleright \rightangle \equal \backcong \eqdef \wedgeq \questeq \between \veeeq \disin \varisins \isins \isindot \varisinobar \isinobar \isinvb \isinE \nisd \varnis \nis \varniobar \niobar \bagmember \ratio \Equiv \stareq \measeq \arceq \rightassert \rightModels \smallin \smallowns \notsmallowns \nsimeqa \leftarrow \longleftarrow \uparrow \Leftarrow \Longleftarrow \Uparrow \rightarrow \longrightarrow \downarrow \Rightarrow \Longrightarrow \Downarrow \leftrightarrow \updownarrow \longleftrightarrow \updownarrow \Leftrightarrow \Longleftrightarrow \Updownarrow \mapsto \longmapsto \nearrow \hookleftarrow \hookrightarrow \searrow \leftharpoonup \rightharpoonup \swarrow \leftharpoondown \rightharpoondown \nwarrow \rightleftharpoons \leadsto \dashrightarrow \dashleftarrow \leftleftarrows \leftrightarrows \Lleftarrow \Rrightarrow \twoheadleftarrow \leftarrowtail \looparrowleft \leftrightharpoons \curvearrowleft \circlearrowleft \Lsh \upuparrows \upharpoonleft \downharpoonleft \multimap \leftrightsquigarrow \rightrightarrows \rightleftarrows \rightrightarrows \rightleftarrows \twoheadrightarrow \rightarrowtail \looparrowright \rightleftharpoons \curvearrowright \circlearrowright \Rsh \downdownarrows \upharpoonright \downharpoonright \rightsquigarrow \nleftarrow \nrightarrow \nLeftarrow \nRightarrow \nleftrightarrow \nLeftrightarrow \to \Swarrow \Searrow \Nwarrow \Nearrow \leftsquigarrow \overleftarrow \overleftrightarrow \cwopencirclearrow \downzigzagarrow \cupleftarrow \rightzigzagarrow \twoheaddownarrow \updownarrowbar \twoheaduparrow \rightarrowbar \updownarrows \barleftarrow \mapsfrom \mapsdown \mapsup \Ldsh \Rdsh z, ; . ! \ldotp \cdotpz} \sum \prod \coprod \bigcap \bigcup \bigsqcup \bigvee \bigwedge \bigodot \bigotimes \bigoplus \biguplus zlim liminf limsup sup max minz.\int \oint \iint \oiint \iiint \oiiint \iiiintz3rm cal it tt sf bf bfit default bb frak scr regularz arccos csc ker min arcsin deg lg Pr arctan det lim sec arg dim liminf sin cos exp limsup sinh cosh gcd ln sup cot hom log tan coth inf max tanhzn | \| / \backslash \uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow . \vert \Vertz[ ( [ \{ < \lfloor \langle \lceil \lbrace \leftbrace \lbrack \leftparen \lgroup z] ) ] \} > \rfloor \rangle \rceil \rbrace \rightbrace \rbrack \rightparen \rgroup uαuωrrc:tjdCfd }dDd}td_t j d_t jDcgc]}t|jc}d_ tddjd jttjt zd j#_td d _|d j(_t-dt j(d zdz_t1d_t j4_t9_t9_t9_t9_ t9_!t9_"xj>j<zc_|xjBdtGjDdzdzzc_!xj@dtIjDdzdzzc_ tKddjdzdz_&|dgjNjPj?d z _)|d jT_+j.tGjDdzj2z_,j.tGjDdzt[z_.tKdjAdjAdz_/tKdjAdjAdz_0tKdjAdjAdz_1tKddt-j6dzdzdzt-j6dzdzdzjdzdzdzt-jdzdzjAdzjAdz_2tKdt-dtItgdjDzd zdzjAd!z_4tKd"jAd#_5tKd$jCd%jCd#z_6tKd&jCd%jCd#z_7tKd'tqdd(d)_9tKd*tuddtwtIjDtGt1d+jyz,d-_=t-j<d.tIt d/d0gj<z d1ztd2d3ztd4d3zj?d.td2d3zz_>j jLzj*zj|z_?xjDj~j:zj\zj&zzc_"tKd5dtGj~d zdz_@tKd6dtGj~d!zdz_Axj<jRj$zjVzjzjXzj^zj`zjbzjdzjlzjnzjhzjjzjrzjzjzzzc_d7j7d8td9zz }xj:d:j7d;td9zz tGj~j:z|zd<zd=zj7d>td9zz zc_tIjD_Ctqd?d(d@A_DtdBj#_EjtGjjzzt[z_F|j_Gj_Hd@_Iycc}w)ENctjD]T\}}|jdr|dvr|j|t |s:|j t |Vy)N_)token placeable auto_delim)varsr rsetNamehasattrrrJ)r rrErQs r5set_names_and_parse_actionsz4Parser.__init__..set_names_and_parse_actionss] GMMOS~~c*"FF C(tS)**74+=>,rFgroupc dg}g}|D]8}|djr|j|(|j|:tdj|dj t t j||rdnddj t t j|S)Nrz<\\(?P<{group}>(?:{alpha})(?![A-Za-z]){additional}{nonalpha})|r)ralpharFnonalpha)isalpharrr-r.rTreescape)rrends_with_alphaends_with_nonalphar~s r5csnamesz Parser.__init__..csnamess O!# 8##%#**40&--d3  OVV((3ryy/#BC&8sb XXc"))5G&HI W rFz[-+]?([0-9]+\.?[0-9]*|\.[0-9]+)space style_literalzI[a-zA-Z0-9 +\-*/<>=:,.;!\?&'@()\[\]|\U00000080-\U0001ffff]|\\[%${}\[\]_|]z|\\(?:{})(?![A-Za-z])rrz \\[A-Za-z]+r~rWz\mathrrz\hspaceaccentz\fracrYdenz\dfracz\binomz\genfracldelimrdelimrulesizestylez \sqrt{value}r#r&rootrz \overlinebodyz\overset annotationz \undersetz\textr-) endQuoteCharz \substackz\\)openerclosercontentpartsnucleusrrQsubsuperz'* apostrophesz'+z \operatornamez \boldsymbol\middlemdelimzExpected a delimiterz\leftleftrz\rightrightr-F)unquoteResultsz(?:(?:\\[$])|[^$])*r)rrrz Iterable[str]r{r)JtypesSimpleNamespacer float_literalr _space_widthsrrrrrr-r.rTrrrleaveWhitespacer3unknown_symbol _fontnamesrWr start_groupr end_group_delimsdelimrrrnamed_placeablerequired_groupoptional_grouprrr r customspace _accent_map _wide_accentsr_function_namesfunctionrrunclosed_groupfracdfracbinomgenfracrsqrtoverlineoversetundersetrtextr)rsuppresssubstackrsimple operatorname boldsymbolrmath math_stringnon_mathmain _expression_math_expression_in_subscript_or_superscript)rQrrrUrrEs` @r5rRzParser.__init__s  ! ! # ? "!!CD45!3!34W=55#'?? 3?aS\? 355DF 5 &--RYY013 3   !"  1508"64??;#H/EuT__/Ef/M$MNQTT "3<  .%Y $Y $Y$Y$Y$Y akk)#% S#6:agg#6w#??#EE S#59QWW#5g#>>DDJaoog.F(F(LM  HF 0 0F43E3EF G& ' VT%9%9: --"5*QWW"5g">>LMM,?Jqww,?,HH9;Vh 0 0 7!:J:J5:Q QRi!1!1%!81;K;KE;R!RSi!1!1%!81;K;KE;R!RS  #(177#H- - 3 %HQWW%h/ 025 6 OOJ/ 025 6 .HQ__-g6 7:= =u%  & u%  &'   S;9VC[177%:;FCCcI Jw' () q'7'7'?@    \ *Q-=-=f-E EG    \ *Q-=-=f-E EG X|CCHIO;c#/4Yqww5G/H'1'&/2J2J2L'M0NOOVXY #Xakk "9 -9ySz*Q[[89*EFuT{=)*eDk-( )  +keDk-.HH  J 77Q]]*QVV3ajj@  HHll    -s5IZ5I&5Q/QTW/WX C"6*QXX"6w"??#EG  HHhh jj nn   gg   ff  gg gg ii ii jj ff jj ff ll  jj!  (qwwx059O3PPQ %0F*GG H:jALL069:5A B 777+e4J.KK M $AGG,&sDG  67GGI JJAMMAJJ$>? ?)+ M  $%66 !-2)a 4s&f cft|dd||g|_i|_ |jj |}g|_d|_ i|_tjtjt|dS#t $r(}t dtj|dzdd}~wwxYw)z Parse expression *s* using the given *fonts_object* for output, at the given *fontsize* and *dpi*. Returns the parse tree of `Node` instances. rr rNF)r _state_stack_em_width_cacher* parseStringr r2r explainr,r resetCacherrr;)rQrH fonts_objectrXrresultr4s r5r%z Parser.parseos  ix EGFH N%%11!4F,1)!  "vveVAY''" NTN$:$:3$BBC M NsA?? B0#B++B0c |jdS)z&Get the current `State` of the parser.r)r/rs r5 get_statezParser.get_states  $$rFc8|jjy)zPop a `State` off of the stack.N)r/poprs r5 pop_statezParser.pop_states rFcr|jj|jjy)z=Push a new `State` onto the stack, copying the current state.N)r/rr7rrs r5 push_statezParser.push_states&   !1!6!6!89rFc6t|jgSrO)r;asListrQrs r5r)z Parser.mainsdkkm$%%rFcH|jj|ddddS)NrrrT)parseAll)r+r1r?s r5r'zParser.math_strings($$00a20NNrFcZt|j}|j|gSrO)r;r>r:)rQrhlists r5r&z Parser.maths#dkkm$ wrFc |djdd}|Dcgc]}t||j}}t|}|j t j d|j_|gScc}w)Nrz\$r-r)replacerr7r;r<rrrW)rQrrHrSsymbolsrCs r5r(zParser.non_mathsp GOOE3 '678a44>>+,a8g  # -? @w 9s!Bc |j|j}d|_t|dDcgc]}t ||c}}|j |gScc}w)Nrr)r<r7rWr;rr:)rQrrrSrCs r5r z Parser.textsX   tAw7w!tAu~w78 w8sA!c||j}|j|j|jf}|jj |}|_|j jdtjdd|j|j}|j}||j|<t||zS)Nrrr7) r7rWrXrr0rrrrrrr@)rQ percentagerr r:rjs r5 _make_spacezParser._make_spaces  zz5>>5995$$((- =mm//cll#56 +GOOE(-D  %EJ&''rFgKqU?g0Bxq?g%?g1ZGU?rrhgKqUſ) \,z \thinspacez\/z\>z\:z\;z\ rTz\enspacez\quadz\qquadz\!cN|j|d}|j|}|gSNr)rrJ)rQrrYrPs r5rz Parser.spaces-  g/s#u rFc,|j|dgSrM)rJr?s r5rzParser.customspaces  g/00rFc6|d}|dk(rd} t||j}||jvrt d|d|dddDd}|j sJ||jvr?t|d|jdk(s|d h|j|jvr|gSt|jd ||jd gd gS||jvrt d |d|dddDd}t d||dzdDd}|dk(r |d k(r|dk(r|gS|dk(r#|jr|jr|gSt||jd gd gS|gS#t$r}t||d|z|d}~wwxYw)NrrLu−zUnknown symbol: %sc3,K|] }|dk7s |ywrNrErrSs r5rz Parser.symbol..CA!s(a rrrrrTr~c3,K|] }|dk7s |ywrQrErRs r5rz Parser.symbol..rSrTc3,K|] }|dk7s |ywrQrErRs r5rz Parser.symbol..sAASarTrrPrrN)rr7r2r_spaced_symbolsrr,_binary_operatorsrra _left_delims_relation_symbolsr;rJ_punctuation_symbolsisdigit) rQrHrrrSrr4 prev_char next_chars r5r3z Parser.symbols K 8 !A I4>>+,D $$ $C4C2CRHI11///$3 (A-?J"//?J262H2H?J2Jv t//4##//46'+,--$++ +C4C2CRHIA378A2FICx# S(8 6MCxI--/I4E4E4Gv tT%5%5c%:;TJKKv E I%a&:Q&>@EH I IsE99 FFFc(t||d|d)NzUnknown symbol: r~rrQrHrrs r5r zParser.unknown_symbol s!!S,.Q sC%6!s(!%6rTrrQrrK>rQrTF)r<r7rWrwrrrrrrrr _overunder_functionsrJrr:r,r;) rQrHrrr hlist_listr~rS next_char_locr^ delimiterss r5r$zParser.operatorname> s^   !# F|A!T"!!#!!!$As#!!$q%.1!!!$c$i!+ dL ) S!12 2MCQ}~%6CRH \\S#J. Z 'D555 4++D,>,>u,EFG GJ   "04D -Z  16D -Z  rFc|j|jdr$|jd|j_gSNrW)r<rr7rWr?s r5r zParser.start_groupa s5  88F $(HHV$4DNN  ! rFc>t|jdg}|gSNrr;r)rQrgrps r5rz Parser.grouph sDHHWb)*u rFc8t|jdgSrrr?s r5rzParser.required_groupl sTXXgr*++rFc&|jgSrO)r:rs r5r zParser.end_groupq s  rFc.t|t|d)Nz Expected '}')rrr`s r5rzParser.unclosed_groupu s!!SV^<> JJ 3--++ JJ 3 }b <(%%dkk!S5):L&MN) JJL KKM   W %EEMME  E5;;/ E399-!C'D !5'* E9- eT!T]34wi(E KKy ) LL !3%( E9- d1dmU34 t+gmm;,C$C C5\F8O gu %"++L< |B/6 R 0*=#/#4L(, 9j1&/&8&8&@&@IOL%8G'4("+"4"4"<"< WI&G+51 &&  ??9 %#//KOOg- //G+ ??9 % 72 2I )11$w|b'88: ;Iy)y.$3347@A0&5569BC  = tG}affT3&789A HHJy)(9+<+>G3{"*4=#./ ??9-!,y/@/@7/J!JJ!*'!9J^+!AGG+:0EFH8OH(QWW,J1FGH",y) GGy--7 7G"1  , , t//0B0B50IJK KN05D -~&xrFc |j}|j}t|jD]"} |j |j $t |g} t |g} t |j|j} | j| d| j| dt| td|dzt||td|dz| g} |jj|jtj dd|j"|j$}| j&|j(|j*zdz |dzz z }|| _t/| t1|dzgg}|s|rN|dk(rd }|dk(rd }|j3|t5j6t8t:t<zt>z||S|S) Nrqrrrr=rhrrrN) r7rcrrrr|rmr:r=rUrr`rrrWrrrXrr;rlror%r;r _auto_sized_delimiterrrrrzrr)rQrrrulerrYrrrdrcnumcdenr:rrjrr5s r5_genfraczParser._genfrac3 s 99; u{{#A JJL JJL$##CIIsyy) 5)$ 5)$tAy3/UD)Ay3/ --++ JJ %78 ,<<',,.!3c/"##Y^ 4567 V||--f./ffT#*s:J5K5;/=.46 6 rFc<|jt|dS)Nr)rrpr?s r5rzParser.style_literal] ss4#89::rFc |j|jdd|jdd|d|jd|jj|d|dS)NrrrrrrYr)rrrrr?s r5rzParser.genfrac` sZ}} HHXr "DHHXr$:  dhhw0I0IJ Ke& &rFc |jdd|jj|jj|d|dSNrrYr)rr7rcrrr?s r5rz Parser.fracf sE}} DNN$DDF OO % %tE{DKA ArFc |jdd|jj|jj|d|dSr)rr7rcrrr?s r5rz Parser.dfrack sE}} DNN$DDF OO ( ($u+tE{D DrFc b|jddd|jj|d|dS)NrrrrYr)rrrr?s r5rz Parser.binomp s5}} a OO % %tE{DKA ArFc|d}|d}|jj}|jt|g}t|g}t |j |j } |j | d|j | d|dz} ||dzdk(r;t|td| |g} |j|jz| z| _ | St|td| |g} | S)Nrrrqr'rur) r7rcrr|rmr:r=rUrr<r;r%) rQrHrrrrrdcentered_annotation centered_bodyr:rrs r5_gensetzParser._gensetu s,' F|NN$DDF ' 5!4&) '--}/B/BC!!%3E9-1} S1W: Q #E "/!4!47J7Q7Q!QTX!XE  #Q E rFcr|jd}|d}|j}|j}|j|jz |dzz}|j |jz}t d|||d}|j|jz }|j |jz}ttd|z|td|zg} tt|td| g} | j||j|jzd z zd ||st|j d zd d }n+t|}|j#|j#tt|gg} | d z| _t| t%|j d z|| g} | gS)Nrrg@rDT)rrhrm@rqrrr)rr7rcr;r%r<rr;r rUr`rKrWrXrrzr:rr@) rQrrrrrdr;r<check padded_body rightside root_vlistrCs r5rz Parser.sqrt sxxG} 99; t0009s?B T...|VUE$O 2 22 e000T!i-0$Q]8KLM 5<f{CD %..599"<!NN!5 * u{{S("b1D;D KKM KKME4&M?+ #)'C- zU[[L3./ "# wrFc|d}|j}|j}|j|jz |dzz}|j|jz}t t |tdt|gg}|j||j|jzdz zd|t|g}|gS)Nrrrmrrq) r7rcr;r%r<rUr`rKr;rWrXr) rQrrrrdr;r<rrCs r5rzParser.overline sF| 99; t0009s?B T...5<fudV}EF  %..599"<!NN!5 *yk"wrFc $|j}t|rt|Dcgc]}t|tr|j !c}}t|Dcgc]}t|tr|j !c}}d}t|D][\} } | dk(s tjt|| dz} | dk7rt| |||||| dz<n|j| || =]tjtttz|} nd}d}d}g} g} |dk7r| jt|||||| j!| |dk7r| jt|||||t#| }|Scc}wcc}w)NrrrN)rrrk)r7rrmrwrr;r< enumeraterrrremoverrzrrrr;)rQfrontmiddlebackrrr;r<ridxelrS middle_partrrCs r5rzParser._auto_sized_delimiter st  v;FMFq*Q:L!((FMNF&K&Q 1c8J&KLEF$V,R#sF37O4ACx*8 !65%+HsQw a(s -&&cDj!16:KFEFK C< LLufeU6J L [! 3; LLtVUE&I Ke  ?NKsFFF /F cb|j|dd|vr|djng|dS)Nrrr)rr>r?s r5rzParser.auto_delim s;)) L$)TMDK   r M  rFcl|j|j}g}|d}|D]}t|trH|jd}t|t rd|_|j|j|[t|t rsd|_|j|jvs|jdd|jvrd|_|j|j|j||j||jt|S)Nrrrr) r<r7rwr;r&rrWrrrS_latin_alphabets _small_greekr:)rQrrrCr~rSr/s r5r%zParser.boldsymbol s  G}A!U#JJqMa&!AF%%' QAt$CC400033qr7d///#AF%%'!!# Q Q!" U|rFc|d}|j}|j}|dDcgc] }t|}}tt d|}g}|D]1} t | g} | j |d|j| 3t|td|dzgt|zD cgc] } | D]} |  } } } | d=t| }t|gg}|Scc}wcc} } w)Nrrc|jSrOryrs r5z!Parser.substack.. saggrFrqrhr) r7rcr;rmrTr|r=rziprrrU)rQrrrrdr/rC max_widthrrcppairrstackrr5s r5r"zParser.substack sW  99; #(8,8aq8,-u56 CC5!B HHY * LL  !aQ)?(@3u:(MN"NT S N " "IEl, -"s C(8C-r) rHrr4rrXr9rr9r{r;r)rrr{z list[Hlist])rrr{r)rrr{r)rIr9r{r@)rHrrrprzParseResults | dict[str, str]r{rr)r{r)rrr{r|)rrrrrrerrrYr;rr;r{r)rrrzlist[Box | Char | str]rrr{r)Ur@rArBrCenumEnumrr`rarXrZ_arrow_symbolsrWr[rryrr r _ambi_delimsrY _right_delimsr rr.rr~rrrstring ascii_lettersrrRr%r7r:r<r)r'r&r( staticmethodrconvertToFloatrr rJrrrr3r rrrrr$r rrrr rrWrrrrrrrrrrrrrrrrrr%r"r)rr(rrrs0000@r5rrsaTYY  0 %'365j %uwk5(n 0 1N4(*;;nLO7==?@  57 >DDFGLRRTU33857rs#    DD<<::46"#))A-3%??( w./,3*3&/ *(/ 8585v*@zi!CGGi!XfIES[[fIRgC-gCTA!=A!H&A,#++&AR{$k$p pfIB !,!,H"3)- 0  / */, (   )   )  ( ) ) )$'(() '!"'#&3-)0  . $ *,3,(3(D+4D+NITI.)/3)/Xc>(4(6%"U%"P E :Pn/#0#0L62WWrF