NgT2dZddlmZddlZddlZddlZddlZddlZddlZddl 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 l3m4Z4m5Z5m6Z6dd l7m8Z9dd lm:Z;e9e;j<d krddlm=Z>nddlm>Z>ej?r ddl@mAZAddl3mBZBejCejDdZEddZFGddeZGdeG_HGddeZIdeI_HGddZJGddeZKGd d!eZLGd"d#ejMZNGd$d%eNejO&ZPGd'd(ePZQGd)d*ePZRGd+d,eRejO&ZSGd-d.eSZTGd/d0eSZUGd1d2eRZVGd3d4eVZWd5ZXd6ZYGd7d8ZZGd9d:eZZ[Gd;deZZ]Gd?d@eZZ^GdAdBeZZ_idCe_dDe_dEe^dFe[dGe[dHe[dIe[dJe[dKe[dLe[dMe\dNe\dOe\dPe\dQe\dRe\dSe\e_e_dTZ`ddXZaGdYdZZbGd[d\ebZcGd]d^ecZdGd_d`ecZeGdadbebZfGdcddefZgGdedfecZhGdgdhehZiGdidjehZjGdkdlecZkGdmdnekZlGdodpekZmGdqdreZnendsdtddsdendsdtdudsdendsdtd dsdendsdsddtdendsdsddtduendsdsddtd endsdsddsdendsdtddvddwen_oGdxdyebZpGdzd{eiZqGd|d}ejZrGd~debZsGddeiZtGddeiZudddZvddZwGddVZxddZyGddZzdS)z. Implementation details for :mod:`.mathtext`. ) annotationsN) NamedTuple)EmptyForwardLiteralNotAnyoneOf OneOrMoreOptionalParseBaseExceptionParseExceptionParseExpressionParseFatalException ParserElement ParseResults QuotedStringRegex StringEnd ZeroOrMorepyparsing_commonGroup)cbook)latex_to_bakomastix_glyph_fixesstix_virtual_fontstex2uni)FontPropertiesfindfontget_font)FT2FontFT2ImageKERNING_DEFAULT)parse) __version__) nestedExpr) nested_expr)Iterable)Glyphzmatplotlib.mathtextsymbolstrreturnintc t|S#t$rYnwxYw t|dS#t$r}t |d|d}~wwxYw)z Return the integer index (from the Unicode table) of *symbol*. Parameters ---------- symbol : str A single (Unicode) character, a TeX command (e.g. r'\pi') or a Type1 symbol name (e.g. 'phi'). \z5 is not a valid Unicode character or TeX/Type1 symbolN)ord TypeErrorrstripKeyError ValueError)r+errs P/var/www/html/ai-engine/env/lib/python3.11/site-packages/matplotlib/_mathtext.pyget_unicode_indexr85s 6{{      v||D))**  N N N s# A A$ AA$cFeZdZUdZded<ded<ded<ded<ded <d S) VectorParsea The namedtuple type returned by ``MathTextParser("path").parse(...)``. Attributes ---------- width, height, depth : float The global metrics. glyphs : list The glyphs including their positions. rect : list The list of rectangles. floatwidthheightdepthz.list[tuple[FT2Font, float, int, float, float]]glyphsz'list[tuple[float, float, float, float]]rectsN__name__ __module__ __qualname____doc____annotations__r7r:r:KsQ  LLLMMMLLL::::222222rHr:cPeZdZUdZded<ded<ded<ded<ded<ded <d S) RasterParsea The namedtuple type returned by ``MathTextParser("agg").parse(...)``. Attributes ---------- ox, oy : float The offsets are always zero. width, height, depth : float The global metrics. image : FT2Image A raster image. r;oxoyr<r=r>r"imageNrArGrHr7rJrJasR  III IIILLLMMMLLLOOOOOrHrJc*eZdZdZd dZddZdd Zd S)Outputz Result of `ship`\ping a box: lists of positioned glyphs and rectangles. This class is not exposed to end users, but converted to a `VectorParse` or a `RasterParse` by `.MathTextParser.parse`. boxBoxc0||_g|_g|_dSN)rPr?r@)selfrPs r7__init__zOutput.__init__s;= >@ rHr-r:cttj|jj|jj|jjg\}}fd|jD}fd|jD}t||z|||S)NcZg|]'\}}}|j|j|j||z |jzf(SrG)fontfontsizenumoffset).0rKrLinfohs r7 z$Output.to_vector..sK///"b$y$-2q2v 7KL///rHc8g|]\}}}}||z ||z ||z fSrGrG)r\x1y1x2y2r^s r7r_z$Output.to_vector..sF000 "b"b1r627BG,000rH) mapnpceilrPr<r=r>r?r@r:)rTwdgsrsr^s @r7 to_vectorzOutput.to_vectors Gdhndhotx~FHH1a////"&+///0000$(J0001a!eQB///rH antialiasedboolrJc tgd|jDd|jDddz }tgd|jDd|jDddz }tgd|jDd|jDddz}tgd |jDd |jDddz}||z }||z |jjz }||z |jjz }ttj |tj |t|dz} t|j| | f} | jD]7\} } } | j | | | | j jz | j| 8| jD]\}}}}tt!||z dz d}|dkr!||zd z }t!||dzd z z }nt!|}| t!||tj |||zt%dd|||z|| S) Nc4g|]\}}}||jjzSrG)metricsxminr\rKrLr]s r7r_z$Output.to_raster..(MMMRb4<,,MMMrHcg|] \}}}}| SrGrGr\rarbrcrds r7r_z$Output.to_raster.. :::^RRb:::rHrrc4g|]\}}}||jjz SrG)rqymaxrss r7r_z$Output.to_raster..rtrHcg|] \}}}}| SrGrGrvs r7r_z$Output.to_raster..rwrHc4g|]\}}}||jjzSrG)rqxmaxrss r7r_z$Output.to_raster..rtrHcg|] \}}}}| SrGrGrvs r7r_z$Output.to_raster..rwrHc4g|]\}}}||jjz SrG)rqyminrss r7r_z$Output.to_raster..rtrHcg|] \}}}}| SrGrGrvs r7r_z$Output.to_raster..rwrH)rm)minr?r@maxrPr>r=r"rfrgshiprXdraw_glyph_to_bitmaprqicebergglyphr.draw_rect_filledrJ)rTrmrrrr|ryrhr^rirMshiftedrKrLr]rarbrcrdr=centerys r7 to_rasterzOutput.to_rasters?MMMMM?::tz:::?<=?@@BCD?MMMMM?::tz:::?<=?@@BCD?MMMMM?::tz:::?<=?@@BCD?MMMMM?::tz:::?<=?@@BCD 4K 4K$(. ( 4K$(/ )RWQQ]%;%;<< tx4%$00#N ) )LBD I * *r2 44dj' + ) ) ) )&m H HNBBR"W)1--F{{r'Q&1*!1122GG  " "3r77Arwr{{AJ G G G G1aAE1e444rHN)rPrQ)r-r:)rmrnr-rJ)rBrCrDrErUrlrrGrHr7rOrOxs^AAAA 0000"5"5"5"5"5"5rHrOcneZdZUdZded<ded<ded<ded<ded<ded<ded <ded <d ed <d S) 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). r;advancer=r<rrr|rryrrnslantedNrArGrHr7rrsm(NNNMMMLLLKKKKKKKKKKKKNNNMMMMMrHrcVeZdZUded<ded<ded<ded<d ed <d ed <ded <dS)FontInfor!rXr;rYr,postscript_namerrqr.rZr*rr[NrBrCrDrFrGrHr7rrsUMMMOOO HHHLLLMMMMMrHrcbeZdZdZd/dZd0dZd1dZd2dZd3dZd4d#Z d5d(Z d6d)Z d6d*Z d7d-Z d.S)8Fontsz 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. default_font_proprload_glyph_flagsr.c"||_||_dS)au Parameters ---------- default_font_prop : `~.font_manager.FontProperties` The default non-math font, or the base font for Unicode (generic) font rendering. load_glyph_flags : int Flags passed to the glyph loader (e.g. ``FT_Load_Glyph`` and ``FT_Load_Char`` for FreeType-based fonts). N)rr)rTrrs r7rUzFonts.__init__s"3 0rHfont1r, fontclass1sym1 fontsize1r;font2 fontclass2sym2 fontsize2dpir-c dS)z Get the kerning distance for font between *sym1* and *sym2*. See `~.Fonts.get_metrics` for a detailed description of the parameters. rG) rTrrrrrrrrrs r7get_kernzFonts.get_kerns rrHrXr!ctrSNotImplementedError)rTrXs r7 _get_fontzFonts._get_fonts!!rH font_classsymrYrctrSr)rTrXrrrYrs r7 _get_infozFonts._get_info!!rHrcB||||||}|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 )rrq)rTrXrrrYrr]s r7 get_metricszFonts.get_metricss%2~~dJXsCC|rHoutputrOrKrLNonec r||||||} |j||| fdS)z At position (*ox*, *oy*), draw the glyph specified by the remaining parameters (see `get_metrics` for their detailed description). N)rr?append) rTrrKrLrXrrrYrr]s r7 render_glyphzFonts.render_glyph!s? ~~dJXsCC b"d^,,,,,rHrarbrcrdcB|j||||fdS)zL Draw a filled rectangle from (*x1*, *y1*) to (*x2*, *y2*). N)r@rrTrrarbrcrds r7render_rect_filledzFonts.render_rect_filled*s)  RR,-----rHct)zF Get the xheight for the given *font* and *fontsize*. rrTrXrYrs r7 get_xheightzFonts.get_xheight1s"###rHct)z Get the line thickness that matches the given font. 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The expression renderer will select the most appropriate size for a given situation from this list. rGrTrrs r7!get_sized_alternatives_for_symbolz'Fonts.get_sized_alternatives_for_symbol>s3  rHNrrrr.rr,rr,rr,rr;rr,rr,rr,rr;rr;r-r;)rXr,r-r!) rXr,rr,rr,rYr;rr;r-r) rXr,rr,rr,rYr;rr;r-r)rrOrKr;rLr;rXr,rr,rr,rYr;rr;r-r rrOrar;rbr;rcr;rdr;r-rrXr,rYr;rr;r-r;rr,rr,r-r)rBrCrDrErUrrrrrrrrrrGrHr7rrs 1 1 1 1""""""""8----....$$$$ $$$$!!!!!!rHrc`eZdZdZd%fd Zd&d Zd'dZd(dZd)dZd*dZ d+dZ d,fd$ Z xZ S)- TruetypeFontsza A generic base class for all font setups that use Truetype fonts (through FT2Font). rrrr.ct||tj|j|_i|_i|_t|j}t|}||jd<||jd<dS)Ndefaultregular) superrU functoolscacher_fontsfontmaprrr )rTrrfilename default_font __class__s r7rUzTruetypeFonts.__init__Os{ *,<==="88 -/ D233)) !- I!- IrHrX str | intr-r!c||jvr|j|}ntjt|}|j|}|ht j|rIt|}||j|<||j|j <||j|j <tjt|SrS) rTcastr,rgetospathexistsr rlowerr!)rTrXbasename cached_fonts r7rzTruetypeFonts._get_font[s 4<  |D)HHvc4((Hkooh//  27>>(#;#; "8,,K$/DK !7BDK 3 4?JDK 399;; <vg{+++rHrr*rYr;rcN|jdkr|jdz dz |dz |zdz zSdS)NCmex10@rr&Hr)rr=)rTrXrrYrs r7 _get_offsetzTruetypeFonts._get_offsetjs:  8 + +L2%)hqj3.>r.AB BrrHrr,rrtuple[FT2Font, int, bool]ctrSr)rTrrrs r7 _get_glyphzTruetypeFonts._get_glyphprrHrc ||||\}}}||||||j} d| jD\} } } } ||| ||}t | jdz | jdz | j dz | | | |z| |z| j dz |z| }t|||j ||| |S)N)flagscg|]}|dz S)P@rG)r\vals r7r_z+TruetypeFonts._get_info..{s!A!A!As#d(!A!A!ArHg@r) rr=r<rrr|rryrr)rXrYrrqrZrr[) rset_size load_charrbboxrrlinearHoriAdvancer=r< horiBearingYrr)rTrrrrYrrXrZrrrrrr|ryr[rqs r7rzTruetypeFonts._get_infous !__Xz3GGc7 h$$$s$*?@@!A!Aej!A!A!AdD$!!$x==-g5l4'k$&6k6k(-6   "&"2%!#$ rHc||}||||d}|0||tjdd||}|jS|ddz |dz z|dz z}|S)Npcltmathtext.defaultxxHeightrg(@gY@)rrget_sfnt_tablermplrcParamsr)rTrrYrrXrrqrs r7rzTruetypeFonts.get_xheights~~h'' h$$$""6** <&&#,'9:C3PPG? " ?T)ho>#+NrHcd|z|zdz S)Ng?gR@rGrs r7rz%TruetypeFonts.get_underline_thicknesss(3.$66rHrrrrrrrrc 2||krh||krb|||||| } |||||| } | j} | | j| jtdz St ||||||||| S)Nr)rrX get_kerningrZr#rr)rTrrrrrrrrrinfo1info2rXrs r7rzTruetypeFonts.get_kerns E>>i944NN5*dIsKKENN5*dIsKKE:D##EIuy/JJRO Owwz4 %z4CII IrHr)rXrr-r!) rXr!rr*rYr;rr;r-r;rr,rr,rr,r-r) rr,rr,rr,rYr;rr;r-r)rr,rYr;rr;r-r;rr) rBrCrDrErUrrrrrrr __classcell__rs@r7rrIs . . . . . . , , , , """" >    7777 I I I I I I I I I IrHr) metaclasscheZdZdZdddddddd ZdAfd ZedZdBdZ idgddgddgddgddgd d!gd"d#gd$d%gd&d'gd(d)gd*d+gd,d-gd.d/gd0d1gd2d3gd4d5gd6d7gd8d9d:gd;dD]\Z Z e e e e <dCd@Z xZS)D 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)calrmttitbfsfexrrrr.ct|||_t|||jD](\}}t |}||j|<||j|<)dSrS) StixFonts_stix_fallbackrrU_fontmapitemsrr)rTrrkeyrfullpathrs r7rUzBakomaFonts.__init__s'(9;KLL *,<=== ++-- ) )HC}}H (DL  (DL   ) )rH \int \ointrr,rrr-rcd}||jvr>|tvr5t|\}}|dkp||jv}||}n?t |dkr,|dk}||}|t |}|||dkr|||fS|j|||S)Nrrrr) rr_slanted_symbolsrlenr1get_char_indexrr)rTrrrrXrrZrs r7rzBakomaFonts._get_glyphs t| # #(>(>+C0MHc8+Lt7L0LG>>(++DD XX]]4'G>>(++D#hh   3 3C 8 8A = =g% %&11(JLL LrH())r r)r¡)r³)rµ)rÃ)))r r$)r¢)r´)r¶)r!{))r r))r©)rn)r½)rr}))r r-)rª)ro)r¾)rr$[))r r1)r£)rr^)r"]))r r4)r¤)ri)r#z\lfloor))r¥)rj)r¹)r$z\rfloor))r¦)rk)rº)r%z\lceil))r§)rl)r»)r&z\rceil))r¨)rm)r¼)r'z\langle))r­rD)r¿)r*z\rangle))r®rE)rÀ)r+ \__sqrt__))rp)rq)rr)rsz \backslash))r²)r/)rÂ)r-rX))r rX)r±)r.)rË)r,z\widehat))r ^)rb)rc)rriz \widetilde))r ~)re)rf)rg)r r^rI)r r6rN)<>) )z \leftparenr)z \rightparentr$)z \leftbracer))z \rightbracer-)z \leftbracketr1)z \rightbracketr4)\{r))\}r-)\[r1)\]r4rc>|j|||fgSrS)_size_alternativesrrs r7rz-BakomaFonts.get_sized_alternatives_for_symbols"&**3(C0ABBBrHrrr)rBrCrDrErrUsetsplitrrrmaliastargetrrrs@r7rrsH))))))s=..0011MMMM('  888'  888' 888 '  888'  ((('  ((('  888' " 888#' & 888'' * 888+' . 888/' 2 8883' 6 8887' : 888;' > 888?' B (((C' F (((G' J%k2$k2M' ' ' R ( ? ? v%7v$>5!!CCCCCCCCrHrceZdZdZdddZdfd Zed ZddZ ddZ ddZ 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"rrrr.ctjd}tttd|}|r |||nd|_t||d D]0}tjd|z}t|}||j |<1td}t|}||j d<t|jtrFddd d d d d }|D]*\} } t| } | |j | <| |j | <)dSdS)Nzmathtext.fallback)stixstixsanscmzcal rm tt it bf sf bfitz mathtext.r r STIXGeneralSTIXSizeOneSymSTIXSizeTwoSymSTIXSizeThreeSymSTIXSizeFourSymSTIXSizeFiveSym)rrrr&)rrr StixSansFontsrr_fallback_fontrrUrorrr isinstancer) rTrr fallback_rcfont_clstexfontproprXstixsizedaltfontssizenamerrs r7rUzUnicodeFonts.__init__0sxl#67 %0 0  #k    #+ 5xx(9;KLLL04  *,<===06688 ) )G< g 56DD>>D$(DL ! !h''~~! T d)9 5 5 .!$$&%% !'!' 05577 . . d#D>>%- T"%- T"" . . . .rHrrr,runiindexr-tuple[str, int]c ||fSrSrG)rTrrrs r7_map_virtual_fontzUnicodeFonts._map_virtual_fontUs !!rHrrc t|}d}n<#t$r/td}d}td|YnwxYw||||\}}|}|r|dkr\|dkrVt |}tj|ddks'tj | d rd }|dkp||j v}d}| |} | _||j vr9| jd kr.tt!jd } |j |}| |} | dkrd}|s|jr|d vrt)|jt*rd }|j|||} | dj} | t/t0jvrd} td|| | S|d vr,t)|t*r|d ||Std|||| d } d}d}| ||fS)NT?Fz!No TeX to Unicode mapping for %a.rirLz GREEK CAPITALr rzfonts/ttf/cmsy10.ttf)rrzComputer ModernzSubstituting symbol %s from %szNFont %r does not have a glyph for %a [U+%x], substituting with a dummy symbol.)r8r5r1_logwarningrchr unicodedatacategoryr startswithrr_cmr10_substitutions family_namer r_get_data_pathrrrrrlistrrvaluesr]) rTrrrr found_symbol new_fontnamecharrrX glyphindexrefamilys r7rzUnicodeFonts._get_glyphYs C(--HLL C C C3xxH L LL>,//D 999 ,77#,-CDDFFD#8BH!00:: ??#'L "  111&t':IFF2#H'228ZMM1)T+"6"="="?"?@@@@.F :CHHH 111&tY772??4SAAA A)3:::~~d++Xw&&s6A  A rcP|jr|j||S||fgSrS)rrrs r7rz.UnicodeFonts.get_sized_alternatives_for_symbols:   &HH# 3  rHrrr,rr,rr.r-rrr) rBrCrDrErrUrnrorrrrrrs@r7rsrss   !.!.!.!.!.!.Fs=..0011""""='='='='~!!!!!!!!rHrsc8eZdZUiZded<ddZdfd ZxZS) DejaVuFontsdict[str | int, str]rrrrr.ct|trt|||_nt |||_t |||_t||||j dddddd|j D](\}}t|}||j |<||j |<)dS)Nr|r}r~rr)rrr&rr)rDejaVuSerifFontsrrrrbakomarrUrupdaterrrrTrrrrrs r7rUzDejaVuFonts.__init__s d, - - U"+,=?O"P"PD  "/0ACS"T"TD !"35EFF t%68HIII !       ,,.. * *IC~~H (DL !)DL   * *rHrr,rrr-rcV|dkr|j|||St|}|d}|>||}|dkr#t d||St |||S)N\primerr)rrr8rrr)rTrrrrrXrrs r7rzDejaVuFonts._get_glyphs )  ;))(JDD D)--H>>$''D!00:: ?? 77--dJDDD77%%h C@@ @rHrr)rBrCrDrrFrUrrrs@r7rrsn%'H''''*****AAAAAAAAAArHrc (eZdZdZddddddddd Zd S) 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 Displayr rrbfitrrrrNrBrCrDrErrGrHr7rrs> #(* $  HHHrHrc (eZdZdZdddddddddZd S) 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 DisplayrNrrGrHr7rrs> "') #  HHHrHrcxeZdZUdZddddddddd d d d d d Zded<dZdZd"dZd#dZ e j d$d!Z dS)%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. r{zSTIXGeneral:italiczSTIXGeneral:weight=boldzSTIXGeneral:italic:boldSTIXNonUnicodezSTIXNonUnicode:italiczSTIXNonUnicode:weight=boldr|r}r~rr) r rrrnonunirmnonuniitnonunibfrrrr&rrrrNFrrrr.ct||||jD](\}}t |}||j|<||j|<)dSrS)rrUrrrrrs r7rUzStixFonts.__init__ smt%68HIII,,.. * *IC~~H (DL !)DL   * *rHrr,rrr-rctj|}|jr||dvrtd}d}nd}t|tr" ||}n2#t $r |d}YnwxYwt|t r|}nd}|d}t|}||kr7||zdz} || } || dkr| }n|| dkrn | dz}||k7| d|cxkr | dkr nn|| dz | d z}| d}n|sd}tj d }|d vrtj||}|d vrd |cxkrdkrnnd|z}||fS)N)rrrTFr rrrr&r)r r)rr rriinonuni) rr_sansrdictr4rrrrr) rTrrr font_mappingdoing_sans_conversionmappinglohimidranges r7rzStixFonts._map_virtual_fonts*-h77 J *</$:::-d3L$( ! !$) ! lD ) )  -&z2 - - -&t, -  d + + "GGG  BWBr''"uqj eAh&&BBq))qBr''Qx8////uQx/////#eAh.q9 8* <<(:; | # #'+Hh??H 1 1 1f6R6R6R6RF6R6R6R6R6R(*H!!s AA('A(r-list[tuple[str, str]] | list[tuple[int, str]]cddddddd}|||} t|n#t$r||fgcYSwxYwfdtd D}|d kr |dd }|S) Nr)r-r1r4u⟨u⟩)rhrirjrkrfrgcg|]?}|dk.|tf@S)r)rrr)r\r6rTrs r7r_z?StixFonts.get_sized_alternatives_for_symbol..WsULLLq>>!,,;;HEEJJCMM*JJJrHrR)rr8r5r)rTrrfixes alternativesrs` @r7rz+StixFonts.get_sized_alternatives_for_symbolHs s3s67   iiS!! %(--HH % % %sO$ $ $ $ %LLLLLE!HHLLL  ,  ',Ls3AArr)rr,rr,r-r) rBrCrDrErrFrrrUrrrrrGrHr7rrs  "')$+0      &&HN E****4"4"4"4"l__rHrceZdZdZdZdS)rzd A font handling class for the STIX fonts (that uses sans-serif characters by default). TN)rBrCrDrErrGrHr7rr`s EEErHrffffff?rceZdZUdZdZded<dZded<dZded<d Zded <d Z ded <d Z ded<dZ ded<dZ ded<dS)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) rBrCrDrErrFrrrrrrrrGrHr7rrs '+L****"%G$$$$"D!!!!"D!!!!"D!!!! %E$$$$ (+M****),N++++++rHrc.eZdZdZdZdZdZdZdZdZ dZ dS)ComputerModernFontConstantsg333333?rg?rN) rBrCrDrrrrrrrrrGrHr7rrs6LG D D D EMNNNrHrc&eZdZdZdZdZdZdZdZdS)STIXFontConstantsr皙?333333?rrN) rBrCrDrrrrrrrGrHr7rrs,L D D EMNNNrHrceZdZdZdZdZdZdS)STIXSansFontConstantsrrrrN)rBrCrDrrrrrGrHr7rrs"L DMNNNrHrceZdZdS)DejaVuSerifFontConstantsNrBrCrDrGrHr7rrDrHrceZdZdS)DejaVuSansFontConstantsNrrGrHr7rrrrHrrrrr r rrr rrr{rrrr~r}r|)zBitstream Vera SanszBitstream Verastate ParserStatetype[FontConstantsBase]ct|j|jjt }|tur!t|jtrtS|SrS) _font_constant_mappingrfontsetrrXrrrrrr)r constantss r7_get_font_constant_setrsb&**  ++79JLLI &&& u}m 4 4 '$$ rHc:eZdZdZddZddZdd Zdd ZddZdS)NodezA node in the TeX box model.r-rcd|_dSNrrrTs r7rUz Node.__init__s  rHr,c*t|jSrS)typerBrs r7__repr__z Node.__repr__sDzz""rHnext Node | Noner;cdSNrrG)rTrs r7rzNode.get_kerningssrHc&|xjdz c_dS)z Shrinks one level smaller. There are only three levels of sizes, after which things will no longer get smaller. rNrrs r7shrinkz Node.shrinks Q rHrrOrrcdS)zRender this node.NrGrTrrrs r7renderz Node.rendersrHNr-rr-r,rrr-r;rrOrr;rr;r-r) rBrCrDrErUrrrr rGrHr7rrs~&&####      rHrc8eZdZdZdfd Zdfd ZddZxZS)rQz A node with a physical location.r<r;r=r>r-rcrt||_||_||_dSrS)rrUr<r=r>)rTr<r=r>rs r7rUz Box.__init__ s2    rHct|jtkrA|xjt zc_|xjt zc_|xjt zc_dSdSrS)rrrNUM_SIZE_LEVELSr< SHRINK_FACTORr=r>rTrs r7rz Box.shrinks`  9 & & JJ= (JJ KK= (KK JJ= (JJJJ ' &rHrrOrarbrcrdcdSrSrGrs r7r z Box.renders rH)r<r;r=r;r>r;r-rr r)rBrCrDrErUrr rrs@r7rQrQ su** ))))))        rHrQc$eZdZdZdfd ZxZS)Vboxz$A box with only height (zero width).r=r;r>cNtd||dSrrrU)rTr=r>rs r7rUz Vbox.__init__!s% VU+++++rH)r=r;r>r;rBrCrDrErUrrs@r7rrsC..,,,,,,,,,,rHrc$eZdZdZdfd ZxZS)Hboxz.A box with only width (zero height and depth).r<r;cNt|dddSrrrTr<rs r7rUz Hbox.__init__(s% B'''''rHr<r;rrs@r7rr%sC88((((((((((rHrcXeZdZdZdfd ZddZdd Zdd ZddZddZ dfd Z xZ S)Chara A single character. Unlike TeX, the font information and metrics are stored with each `Char` to make it easier to lookup the font metrics when needed. Note that TeX boxes have a width, height, and depth, unlike Type1 and TrueType which use a full bounding box and an advance in the x-direction. The metrics must be converted to the TeX model, and the advance (if different from width) must be converted into a `Kern` node when the `Char` is added to its parent `Hlist`. rar,rrct||_|j|_|j|_|j|_|j|_|j|_|dSrS) rrUrarrXrrYr_update_metrics)rTrarrs r7rUz Char.__init__9sh } J * 9 rHr-cd|jzS)Nz`%s`rars r7rz Char.__repr__EsrHrc |j|j|j|j|j|jx}|_|jdkr |j|_ n |j |_ |j |_ |j |j z |_ dS)N ) rrrXrrarYr_metricsrr<rr=r>rTrqs r7r#zChar._update_metricsHsy"&,":": It tx#I#I I$- 6S== DJJ DJo 78 rHrnc|jjSrS)r(rrs r7 is_slantedzChar.is_slantedRs }$$rHrrr;c |jj|jz }d}t|trO|j|j|j|j |j |j|j|j |j |j }||zS)z Return the amount of kerning between this and the given character. This method is called when characters are strung together into `Hlist` to create `Kern` nodes. r) r(rr<rr!rrrXrrarYr)rTrrkerns r7rzChar.get_kerningUsv-'$*4 dD ! ! <(( 4?DFDM 4?DFDMD~rHrrOrrc z|j||||j|j|j|j|jdSrS)rrrXrrarYrr s r7r z Char.renderesG !! Aq It tx I I I I IrHct|jtkrV|xjt zc_|xjt zc_|xjt zc_|xjt zc_dSdSrS) rrrrrYrr<r=r>rs r7rz Char.shrinkjsp  9 & & MM] *MM JJ] *JJ KK] *KK JJ] *JJJJ ' &rH)rar,rrr r )r-rnr r) rBrCrDrErUrr#r+rr rrrs@r7r!r!,s        9999%%%% IIII ++++++++++rHr!c4eZdZdZd dZd fd Zd d ZxZS)Accentz The font metrics need to be dealt with differently for accents, since they are already offset correctly from the baseline in TrueType fonts. r-rc|j|j|j|j|j|jx}|_|j|j z |_ |j |j z |_ d|_dSr)rrrXrrarYrr(r|rrr<ryrr=r>r)s r7r#zAccent._update_metricsyse"&,":": It tx#I#I I$-\GL0 lW\1  rHcpt|dSrS)rrr#rs r7rz Accent.shrinks/  rHrrOrr;rc |j|||jjz ||jjz|j|j|j|j|j dSrS) rrr(rrrrXrrarYrr s r7r z Accent.renders[ !! A **A 0B,B It tx I I I I IrHr r)rBrCrDrEr#rr rrs@r7r1r1ssw IIIIIIIIrHr1cDeZdZdZdfd Zdfd ZddZdfd ZxZS)Listz0A list of nodes (either horizontal or vertical).elementsT.Sequence[Node]ctdddd|_g||_d|_d|_d|_dS)Nrr)rrU shift_amountchildrenglue_set glue_sign glue_orderrTr7rs r7rUz List.__init__sK R$$$#(   rHr-r,c dt|j|j|j|jdd|jDS)Nz/{}[{}]z, c,g|]}t|SrG)reprr\rs r7r_z!List.__repr__..s6661tAww666rH) formatrrr<r=r>r:joinr;rs r7rz List.__repr__sa@GG GG     J J) II66 666 7 7 99 9rHrr;signr.totals list[float] error_typerctfdttdddDdx|_}||_|dkr||z |_nd|_d|_|dkrEt|jr3t d|t|j |dSdSdS)Nc34K|]}|dk|VdS)rNrG)r\r6rGs r7 z!List._set_glue..s+ C C1F1INNQNNNN C CrHrrrz %s %s: %r) rrrr>r=r< glue_ratior;rrrrB)rTrrFrGrIr/s ` r7 _set_gluezList._set_glues" C C C Cc&kk**44R40 C C CQHH H! !9??q MDMMDN DO 664=!! D ['d)rQrfisinfgetattrGlue glue_spec stretch_orderstretch shrink_orderrrYr=r>rMrN) rTrhrEr^rir total_stretch total_shrinkrSrVrds r7rWz Hlist.hpacks0   q tax   A!T"" QW 18$$17OOAs## QW x)),"(172C2C,>266AAqx!|,,AAqw{++AAt$$ K Y_$i5666):KK666Y3444 8HH4444At$$ QW     FA E 77DNDO DO F r66 NN1a : : : : : NN1b, ; ; ; ; ;rH)rrST)r7r8rhr;rErTrUrnr rrS)rhr;rErTr-r)rBrCrDrErUr-rWrrs@r7rRrRs%%>A9E!%))))2 #6B?<?<?<?<?<?<?<?<?rfrar<rbrrcrdrerfrgrrYr! RuntimeErrorr=r>rMrN) rTr^rErArhrirrhrirSrVrds r7rnz Vlist.vpack$s20   q tax  I IA!S!! IQ\!Gx((,>266AAqw{++AAt$$ IQK Y_$i5666):KK666Y3444 8HH4444At$$ IQ[ At$$ I"GIII I q55 QJADJJDJ   FA E 66DNDO DO F r66 NN1a : : : : : NN1b, ; ; ; ; ;rHrj)r7r8r^r;rErT)r^r;rErTrAr;r-r) rBrCrDrErUrfinfrnrrs@r7rlrls}##>A9E #6BG<G<G<G<G<G<G<G<Grrcft||||j|_dSrS)rrUr)rTr<r=r>rrs r7rUz Rule.__init__ys, ...} rHrrOrrrhr^r-rcN|j|||||z||zdSrS)rr)rTrrrrhr^s r7r z Rule.render}s. ''1a!eQUCCCCCrH)r<r;r=r;r>r;rr) rrOrr;rr;rhr;r^r;r-r)rBrCrDrErUr rrs@r7rsrsnsc%%%%%%DDDDDDDDrHrsc&eZdZdZdd fd ZxZS) Hrulez.Convenience class to create a horizontal rule.Nrr thickness float | Nonec||}|dzx}}ttj|||dS)Nrget_current_underline_thicknessrrUrfrq)rTrrxr=r>rs r7rUzHrule.__init__sN  ==??I"S( 66666rHrS)rrrxryrrs@r7rwrwsH8877777777777rHrwc$eZdZdZdfd ZxZS)Vrulez,Convenience class to create a vertical rule.rrc|}t|tjtj|dSrSr{)rTrrxrs r7rUzVrule.__init__s<99;;  BFBFE:::::rH)rrrrs@r7r~r~sC66;;;;;;;;;;rHr~cBeZdZUded<ded<ded<ded<ded<dS) _GlueSpecr;r<rfr.rerrgNrrGrHr7rrsELLLNNNMMMrHrr?rg)filfillfilllneg_filneg_fill neg_filllemptyssc0eZdZdZdfd Zd fd ZxZS) rca Most of the information in this object is stored in the underlying ``_GlueSpec`` class, which is shared between multiple glue objects. (This is a memory optimization which probably doesn't matter anymore, but it's easier to stick to what TeX does.) glue_type`_GlueSpec | T.Literal['fil', 'fill', 'filll', 'neg_fil', 'neg_fill', 'neg_filll', 'empty', 'ss']ctt|trtj|}n't|tr|}nt d||_dS)Nz.glue_type must be a glue spec name or instance)rrUrr,r_namedr5rd)rTrrdrs r7rUz Glue.__init__sq  i % % O!(3II  9 - - O!IIMNN N"rHr-rct|jtkr1|j}||jtz|_dSdS)Nr<)rrrrrd_replacer<r)rTrers r7rz Glue.shrinksS  9 & &AZZag .EZFFDNNN ' &rH)rrr )rBrCrDrErUrrrs@r7rcrcso # # # # # #GGGGGGGGGGrHrcc$eZdZdZdfd ZxZS) HCenteredzl A convenience class to create an `Hlist` whose contents are centered within its enclosing box. r7 list[Node]cttdg|tdddS)NrFrUrrUrcr?s r7rUzHCentered.__init__s? $t**>>>>>>>>>rHrc@eZdZdZdZdZd fd Zd dZd fd ZxZ S)rYa A `Kern` node has a width field to specify a (normally negative) amount of spacing. This spacing correction appears in horizontal lists between letters like A and V when the font designer said that it looks better to move them closer together or further apart. A kern node can also appear in a vertical list, when its *width* denotes additional spacing in the vertical direction. rr<r;cVt||_dSrS)rrUr<rs r7rUz Kern.__init__s$  rHr-r,cd|jzS)Nzk%.02frrs r7rz Kern.__repr__s$*$$rHrct|jtkr|xjt zc_dSdSrS)rrrrr<rrs r7rz Kern.shrinks@  9 & & JJ- 'JJJJ ' &rHrr r ) rBrCrDrEr=r>rUrrrrs@r7rYrYsF E%%%%((((((((((rHrYc(eZdZdZ ddfd 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. FNrar,r=r;r>rralwaysrnfactorrycR|j|j|}|j|j|j|j}|}||z} |D]7\} } | |_t| |} | j| j z| d|zz krn8d} |jdkst|dkr>|| | j| j zz }|xj|zc_t| |} || j z } t | g| |_ dS)Nrrrr)rrrXrrYrcopyr!r=r>rrrUr:)rTrar=r>rrrrr target_totalrrrshiftrs r7rUzAutoHeightChar.__init__sA}FF J -++ J 33 ~ )  MHc!EJU##D{TZ'<#-+GGGH :??c,//144~%tz)AB NNf $NNU##DTZ'E $   !rH)FN) rar,r=r;r>r;rrrrnrryrrs@r7rrsR?C"""""""""""rHrc*eZdZdZdefdfd 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. Frar,r<r;rrrrn char_class type[Char]ch|j|j|}|}|D]%\}}||_|||} | j|krn&|| jz } |xj| zc_|||} t | g| j|_dSrS)rrrXrr<rYrrU) rTrar<rrrrrrrrrs r7rUzAutoWidthChar.__init__$s}FF J  )  MHc!EJ:c5))DzU""## & z#u%% $   Z rH) rar,r<r;rrrrnrr)rBrCrDrEr!rUrrs@r7rrsVQV*.           rHrrrrPxytuple[float, float]c  |\}}dd|||jz t| d dd  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. rvaluer;r-c&|dkrdn |dkrdn|S)NgegeArG)rs r7clampzship..clampIs t||tt5HrHrPrRrcd}d}|j}|j}}}|jD]=}t|tr(|zz|jz @t|tr |jz `t|trt|jdkr |jz }||j zt|tr |n+t|tr |n Jd||jz|t|tr|j} |j} |j} t!j| r|j} t!j| r|j} | dkr,| dkr&|| z|zz| | || z t|t$r|j} | j|z } |dkrq|dkr6| j|kr*|| jz }t- |j|z}n5| j|kr*|| jz }t- |j|z}| |z } | z ?dS)NrrFunreachable coder)r>r=r;rr!r r<rYr6rr:rRrlrQr=r>rfrarcrdrerfroundr<rgr)rPcur_gcur_gluer>r= base_line left_edgerSedge rule_height rule_depth rule_widthrdrcur_hcur_v hlist_outoff_hoff_vr vlist_outs r7rzship..hlist_outLs^ M   3 $3 $A!T""2 $ >>> At$$/ $ At$$- $qz??a''QW$EE D%6E!!U++9! ! #Au--9! ! 8&8888 17NE%EEAs## $h W W 8K((-"%*K8J''+!$J??zA~~% 2EHHV"U]EEM'666&E#At$$ $K &_u4 >> A~~$2j@@$ (99H$)%% x0G*H*H$I$IE"/:== I$44 %eeCL8,C&D&D E Ee# #g3 $3 $rHrlcd}d}|j}|j}}|jz}|jD]'}t |t r |jz #t |trt|jdkr|j|j zz c|jz ||j z}|j|_t |tr |n+t |tr |n Jd||j z|t |trg|j} |j } |j} tj| r|j} | | z } | dkr*| dkr$| z |zz| | Zt |t"r|j} | j|z } |dkrq|dkr6| j|kr*|| jz }t+ |j|z}n5| j|kr*|| jz }t+ |j|z}| |z } | z t |t2rt5d)dS)NrrFrrz1Internal mathtext error: Char node found in vlist)r>r=r=r;rrYr<r6rr>r:rRrlrQrfrar rcrdrerfrr<rgrr!rp)rPrrr>r=rtop_edgerSsave_vrrrrdrrrrrrrrs r7rzship..vlist_outs^ M   . I. IA!T""- I At$$+ Iqz??a''QX//EEQX%E%6E"F!iAG!!U++9! ! #Au--9! ! 8&8888"QW,E%EEAs## Ih W W 8J''+!$Jz) ??zA~~[(EHHV"U]EEM'666At$$ IK 'o5 >> A~~$2j@@$ (99H$)%% x0G*H*H$I$IE"/:== I$44 %eeCL8,C&D&D E Eu$ $At$$ I"GIII IY. I. IrH)rr;r-r;)rPrRr-r)rPrlr-r)r=rOrrR) rPrrKrLrrrrrrrrs @@@@@@@@r7rr8s FB E E E OE C[[FIIII=$=$=$=$=$=$=$=$=$=$=$=$=$~9I9I9I9I9I9I9I9I9I9I9I9I9Iv c5 ! !!!! IcNNN MrHmsgrcRd fd }t|S) z$Helper class to raise parser errors.rVr,locr.toksrr-T.Anyc&t||rSr)rVrrrs r7 raise_errorzError..raise_errors!!S#...rHrVr,rr.rrr-r)rsetParseAction)rrs` r7Errorrs;////// 77 ! !+ . ..rHcdeZdZdZdd Zdd Zedd ZejddZddZ dS)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. rrrXr,rrYr;rcL||_||_||_||_||_dSrS)r_fontrrYr)rTrrXrrYrs r7rUzParserState.__init__s)  $  rHr-c*tj|SrS)rrs r7rzParserState.copysyrHc|jSrS)rrs r7rXzParserState.fonts zrHrrc*|dvr||_||_dS)N)r rrr)rr)rTrs r7rXzParserState.fonts - - -"DO rHcX|j|j|j|jS)z.Return the underline thickness for this state.)rrrXrYrrs r7r|z+ParserState.get_current_underline_thicknesss)|33 It}dh00 0rHN) rrrXr,rr,rYr;rr;r-rr )rr,r-r)r-r;) rBrCrDrErUrpropertyrXsetterr|rGrHr7rrsX [[ 000000rHexprargscd fd |ddd}||kr+|d d |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. eltrr-T.Generator[str, None, None]c3Kt|tr|jD]}|Ed{VdS|jr |jVdSdSrS)rrexprs resultsName)rrnamess r7rzcmd..names s c? + + "  ' ' 5;;&&&&&&&& ' ' _ "/ ! ! ! ! ! " "rHr)rrc3 K|] }d|zV dS)z{%s}NrG)r\rs r7rLzcmd..s&BBdFTMBBBBBBrHz Expected )rrr-r)rorEr)rrcsnamer6rs @r7cmdrs""""""ZZQ   "Ffnn BGGBBeeDkkBBBBB B B"& TE"3c"3"3444 55rHc eZdZdZGddejZedZ edZ edZ e e ze zZ edZ edZed Zed Zed Zed Zed ZedZedZeezezZedeededdzDZeejZddZddZdd!Zdd"Z dd#Z!dd'Z"dd(Z#dd*Z$dd+Z%e&e'j(Z)dd,Z*dd/Z+d0d0d0d1d1d2d3d3d4dd5d6d7 Z,dd8Z-dd9Z.dd=Z/dd>Z0id?d@dAdBdCdDdEdFdGdHdIdJdKdLdMdNdOdPdQdRdSdTdUdNdVdFdWdHdXdJdYdLdZd@d[d\d]d^Z1ed_Z2dd`Z3ddaZ4ddbZ5ddcZ6dddZ7ddeZ8e8Z9ddfZ:ddgZ;ddhZddnZ?dfdo Z@ddwZAddxZBddyZCddzZDdd{ZEdd|ZFdd}ZGeGxZHZIdd~ZJddZKddZLddZMddZNddZOxZPS)Parserz A pyparsing-based parser for strings containing math expressions. Raw text may also appear outside of pairs of ``$``. The grammar is based directly on that in TeX, though it cuts a few corners. ceZdZdZdZdZdZdS)Parser._MathStylerrrr&N)rBrCrD DISPLAYSTYLE TEXTSTYLE SCRIPTSTYLESCRIPTSCRIPTSTYLErGrHr7 _MathStylers%   rHru+ * - − \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 cg|]M}tjt|dNS)r)rrrror)r\r6s r7r_zParser.sXGGG (Q006688<BBDDGGGrHuαuωrr-rctjdJfd }dKd }td _t jd _t d jDd _tdd d ttj tzd_tdd_|dj_t)dt jdzdz_t-d_t j_t5_t5_t5_t5_t5_t5_ xjjzc_|xjdtCj dzdzzc_xjdtEj dzdzzc_tGddd zdz_$|dgj%j&dz _'|dj(_)jtCj dzjz_*jtCj dztWz_,tGdddz_-tGdddz_.tGdddz_/tGddt)jd zdzdzt)jd!zdzdzd"zdzdzt)jd#zdzdzdz_0tGd$t)d%tEtcd&j zd'zd&zd(z_2tGd)d*_3tGd+d,d*z_4tGd-d,d*z_5tGd.tmdd/d0_7tGd1tqddtstEj tCt-d2:z3d4_;t)jd5tEt d6d7gjz d8ztd9d:ztd;d:zd5td9d:zz_<jj$zjzj<z_=xj j=jzj,zjzzc_ tGdtGd=dtCj=d(zdz_?xjj'jzj)zj>zj*zj-zj.zj/zj0zj4zj5zj2zj3zj7zj?zj;zzc_d>d?td@zz }xjdAdBtd@zz tCj=jz|zdCzdDzdEtd@zz zc_tEj _AtmdFd/dGH_BtdI_CjCtCjBjCzztWz_D|jD_EjA_FdG_GdS)LNr-rctD]f\}}|dsL|dvr||t |r#|t |gdS)N_)token placeable auto_delim)varsrrsetNamehasattrrrb)rrrSrTs r7set_names_and_parse_actionsz4Parser.__init__..set_names_and_parse_actionss GGMMOO ? ?S~~c**?"FFF C(((tS))?**74+=+=>>> ? ?rHgroupr,r Iterable[str]rc g}g}|D]G}|dr||2||Htd|dt t j||rdnddt t j|S)Nrz<\\(?P<{group}>(?:{alpha})(?![A-Za-z]){additional}{nonalpha})|r)ralpharSnonalpha)isalpharrrDrErereescape)rrends_with_alphaends_with_nonalphars r7csnamesz Parser.__init__..csnamess O!#  4 48##%%4#**40000&--d3333OVV((3ry/#B#BCC&8@ssb XXc")5G&H&HII W rHz[-+]?([0-9]+\.?[0-9]*|\.[0-9]+)spacec6g|]}t|jSrG)r,r)r\rcs r7r_z#Parser.__init__..s 3 3 3aS\\ 3 3 3rH style_literalzI[a-zA-Z0-9 +\-*/<>=:,.;!\?&'@()\[\]|\U00000080-\U0001ffff]|\\[%${}\[\]_|]z|\\(?:{})(?![A-Za-z])rrz \\[A-Za-z]+rrXz\mathr)r-z\hspaceaccentz\fracrZdenz\dfracz\binomz\genfracldelimrdelimrulesizestylez \sqrt{value}r1r4rootrz \overlinebodyz\overset annotationz \undersetz\textr0) endQuoteCharz \substackz\\)openerclosercontentpartsnucleusrr_subsuperz'* apostrophesz'+z \operatornamez \boldsymbol\middlemdelimzExpected a delimiterz\leftleftrz\rightrightr;F)unquoteResultsz(?:(?:\\[$])|[^$])*r )rr,rrr-r)HtypesSimpleNamespacer float_literalr _space_widthsr rr rDrErerrrleaveWhitespacer+unknown_symbol _fontnamesrXr 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)rTrr r rSs` @r7rUzParser.__init__s  ! # # ? ? ? ? ? ? ?    "!!CDD45!344W==55 3 34? 3 3 3555DFF 5 &--RY001133 3    !""  150088"764?;;#H/EuT_/E/Ef/M/M$MNNQTT "3<<  ..%YY $YY $YY$YY$YY$YY ak)##%%% S#6:ag#6#6w#?#??#EE S#59QW#5#5g#>#>>DDJaoog.F.F(F(LMM  GHF 0F43EF G G&& ' WVT%9:: -"5*QW"5"5g">">>LM,?Jqw,?,?,H,HH9;;Vh 0 0 7 7!:J:J5:Q:Q QRRi!1!1%!8!81;K;KE;R;R!RSSi!1!1%!8!81;K;KE;R;R!RSS  #(17##H-- - 3 %HQW%%h// 025 6 OOJ// 025 6 .HQ_--g66 7:= =u%%  & u%%  &''   S;9VC[[17%:;;FCCCcI J Jw'' ()) q'7'7'?'?@@    \ * *Q-=-=f-E-E EGG    \ * *Q-=-=f-E-E EGG X|CCHHHIIO;c#/4Yqw5G5G/H/H'1'&//2J2J2L2L'M'M0NOOOOVXXYY #Xak " "9 - -9ySz**Q[899*EEFuT{{=))*eDkk-(( )  ++keDkk-.H.HH  J 7Q]*QV3aj@  Hl    -s5IZ5I5I&5Q5Q/QTW/WXX C"6*QX"6"6w"?"??#EGG  Hh j n   g   f  g g i i j f j f l  j!  (qwwx0059O3P3PPQ %0F*G*GG H:jAL069::5AA B 777++e4J.K.KK M $AG,,&sDGGG  677GGII JAMAJ$>?? ?)++ M  $#%%%6 !-2)))rHrVr, fonts_objectrrYr;rrRczt|dd||g|_i|_ |j|}n8#t $r+}t dtj|dzdd}~wwxYwg|_d|_ i|_tj tj t|dS)z Parse expression *s* using the given *fonts_object* for output, at the given *fontsize* and *dpi*. Returns the parse tree of `Node` instances. rr  rNF)r _state_stack_em_width_cacherJ parseStringr r5r explainrLr resetCacherrrR)rTrVrMrYrresultr6s r7r$z Parser.parseos  ix E EGFH N%11!44FF! N N NTN$:3$B$BBCC M N,1)! """veVAY'''s= A2&A--A2rc|jdS)z&Get the current `State` of the parser.r)rPrs r7 get_statezParser.get_states $$rHc8|jdS)zPop a `State` off of the stack.N)rPpoprs r7 pop_statezParser.pop_states rHc|j|dS)z=Push a new `State` onto the stack, copying the current state.N)rPrrWrrs r7 push_statezParser.push_states5   !1!1!6!6!8!899999rHrr list[Hlist]cFt|gSrS)rRasListrTrs r7rIz Parser.mainsdkkmm$$%%rHcV|j|ddddS)NrrrT)parseAll)rKrRr`s r7rGzParser.math_strings*$00a20NNNrHrcrt|}||gSrS)rRr_rZ)rTrhlists r7rFz Parser.maths.dkkmm$$ wrHc|ddd}fd|D}t|}tjd_|gS)Nrz\$r;cTg|]$}t|%SrG)r!rW)r\rarTs r7r_z#Parser.non_math..s-88844>>++,,888rHr)replacerRr\rrrWrX)rTrrVsymbolsrds` r7rHzParser.non_mathso GOOE3 ' '8888a888g  # -? @wrHc||d_tfd|dD}||gS)Nr c0g|]}t|SrG)r!)r\rars r7r_zParser.text..s!777!tAu~~777rHr)r\rWrXrRrZ)rTrrdrs @r7r@z Parser.textsf    7777tAw77788 wrH percentagerYc@|}|j|j|jf}|j|}|I|jdtj dd|j|j}|j }||j|<t||zS)NrrrE) rWrXrYrrQrrrrrrrY)rTrkrrr<rqs r7 _make_spacezParser._make_spaces   z5>595$((-- =m//cl#56 ++GOE(-D  %EJ&'''rHgKqU?g0Bxq?g%?g1ZGU?rrgKqUſ) \,z \thinspacez\/z\>z\:z\;z\ rbz\enspacez\quadz\qquadz\!cX|j|d}||}|gSNr )r'rm)rTrrZrPs r7r z Parser.spaces- g/s##u rHc:||dgSrp)rmr`s r7r2zParser.customspaces  g//00rHrr.ParseResults | dict[str, str]c|d}|dkrd} t||}n'#t$r}t||d|z|d}~wwxYw||jvrt d|d|dddDd}|jsE||jvr?t|d| dks|d ks ||j vr|gSt| d || d gd gS||j vrt d |d|dddDd}t d||dzdDd}|dkr|d kr |dkr|gS|dkr+|r|r|gSt|| d gd gS|gS)NrrZu−zUnknown symbol: %sc3&K|] }|dk|V dSr'NrGr\ras r7rLz Parser.symbol..&CCA!s((a((((CCrHrrrr)rTrc3&K|] }|dk|V dSrurGrvs r7rLz Parser.symbol..rwrHc3&K|] }|dk|V dSrurGrvs r7rLz Parser.symbol..s&AAASaAArHrr^r-r\)r!rWr5r_spaced_symbolsrrL_binary_operatorsrro _left_delimsrRrm_punctuation_symbolsisdigit) rTrVrrrarr6 prev_char next_chars r7r+z Parser.symbols_ K 88 !A I4>>++,,DD I I I%a&:Q&>@@EH I I $ $ $CC4C42CCCRHHI1 -///$3$ ((A--c1A1A!222v t//44##//446'+,,,--$+ + +CC4C42CCCRHHIAA3788AAA2FFICxx## S(8(8 6MCxxI--//xI4E4E4G4Gxv tT%5%5c%:%:;TJJJKKv s"5 AAAc6t||d|d)NzUnknown symbol: rrrTrVrrs r7r)zParser.unknown_symbol s!!!S*KT&\*K*KLLLrHhatz\circumflexaccentbrevez\combiningbrevebarz\combiningoverlinegravez\combininggraveaccentacutez\combiningacuteaccenttildez\combiningtildedotz\combiningdotaboveddotz\combiningdiaeresisdddotz\combiningthreedotsaboveddddotz\combiningfourdotsabovevecz\combiningrightarrowabover3`rGrbr\r_z \rightarrowz \leftarrowz\circ)overrightarrow overleftarrowmathringzwidehat widetilde widebarc<|}|}|d}|d}||jvr!td|z|j|t }nt |j||}|dkr(||tt|jdz |g}| |jdt|td|d zt|ggS) Nrrr0)rrg@exactlyr@)rWr|r4rr<r1r3rrrrWrlrrR)rTrrrxrr accent_boxcentereds r7rz Parser.accent# s  99;; h5k T' ' '&v sy%FDDDJJ  0 8%@@J Z              d39s?33Z@AAsy),,,RS))se  rHcN||||}|d|_|S)Nr)rD function_name)rTrVrrrds r7r6zParser.function9 s*!!!S$//"6l rHcH||}d|_g}|d}|D]}t|tr1d|_|||Ht|tr$|t |||||t|zdz}t|tr|tdz }td||dDd} |j ddhz} | | vr-||j vr$|| |jd gz }|| d vrd |_nd |_t#|S) Nr rrzoperatorname{}c3&K|] }|dk|V dSrurGrvs r7rLz&Parser.operatorname..Q s&CC!s((!((((CCrHrr_rrn>rr_TF)r\rWrXrr!r#rr,rrrr-_overunder_functionsrmr'rZrLrR) rTrVrrr hlist_listrra next_char_locr delimiterss r7rDzParser.operatorname> s    !# F| % %A!T"" %!!###!!!$$$$As## %!!$q%..1111!!!$$$$c$ii!+ dL ) ) 3 S!122 2MCCQ}~~%6CCCRHH \S#J. Z ' 'D555 4++D,>u,EFFG GJ   " "04D - -05D -Z   rHc||dr,|d|_gSNrX)r\rrWrXr`s r7r+zParser.start_groupa sI  88F   5$(HHV$4$4DNN   ! rHcNt|dg}|gSNrrRr)rTrgrps r7rz Parser.grouph s$DHHWb))**u rHcHt|dgSrrr`s r7r0zParser.required_groupl sTXXgr**+++rHc.|gSrS)rZrs r7r,zParser.end_groupq s  rHc>t|t|d)Nz Expected '}')rrrs r7r7zParser.unclosed_groupu s!!SVV^<<rlr:rrYrr(rr!rrrr+rrrrrrrrrrrLrmr')$rTrVrrrr napostrophessubropargrrule_thicknessrr6vlistrr<vgaprdvltrU last_charrZr lc_height lc_baseline superkernsubkernr shift_downshift_uprclrspaced_nucleusrs$ r7rzParser.subsuper s((9d1gg..88J++488M26677    Ne !) 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