P/PhC6dZddlmZddlZddlZddlZddlZddlZddlZddl 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<j=d krddlm>Z?nddlm?Z?ej@r ddlAmBZBddl3mCZCejDejEdZFddZGGddeZHdeH_IGddeZJdeJ_IGddZKGddeZLGd d!eZMGd"d#ejNZOGd$d%eOejP&ZQGd'd(eQZRGd)d*eQZSGd+d,eSejP&ZTGd-d.eTZUGd/d0eTZVGd1d2eSZWGd3d4eWZXd5ZYd6ZZGd7d8Z[Gd9d:e[Z\Gd;de[Z^Gd?d@e[Z_GdAdBe[Z`idCe`dDe`dEe_dFe\dGe\dHe\dIe\dJe\dKe\dLe\dMe]dNe]dOe]dPe]dQe]dRe]dSe]e`e`dTZaddXZbGdYdZZcGd[d\ecZdGd]d^edZeGd_d`edZfGdadbecZgGdcddegZhGdedfedZiGdgdheiZjGdidjeiZkGdkdledZlGdmdnelZmGdodpelZnGdqdreZoeodsdtddsdeodsdtdudsdeodsdtd dsdeodsdsddtdeodsdsddtdueodsdsddtd eodsdsddsdeodsdtddvddweo_pGdxdyecZqGdzd{ejZrGd|d}ekZsGd~decZtGddejZuGddejZvdddZwddZxGddVZyddZzGddZ{dS)z. Implementation details for :mod:`.mathtext`. ) annotationsN) NamedTuple)EmptyForwardLiteralNotAnyoneOf OneOrMoreOptionalParseBaseExceptionParseExceptionParseExpressionParseFatalException ParserElement ParseResults QuotedStringRegex StringEnd ZeroOrMorepyparsing_commonGroup)cbook)latex_to_bakomastix_glyph_fixesstix_virtual_fontstex2uni)FontPropertiesfindfontget_font)FT2FontFT2ImageKerning LoadFlags)parse) __version__) nestedExpr) nested_expr)Iterable)Glyphzmatplotlib.mathtextsymbolstrreturnintc t|S#t$rYnwxYw t|dS#t$r}t |d|d}~wwxYw)z Return the integer index (from the Unicode table) of *symbol*. Parameters ---------- symbol : str A single (Unicode) character, a TeX command (e.g. r'\pi') or a Type1 symbol name (e.g. 'phi'). \z5 is not a valid Unicode character or TeX/Type1 symbolN)ord TypeErrorrstripKeyError ValueError)r,errs T/var/www/html/test/jupyter/venv/lib/python3.11/site-packages/matplotlib/_mathtext.pyget_unicode_indexr95s 6{{      v||D))**  N N N s# A A$ AA$cFeZdZUdZded<ded<ded<ded<ded <d S) VectorParsea The namedtuple type returned by ``MathTextParser("path").parse(...)``. Attributes ---------- width, height, depth : float The global metrics. glyphs : list The glyphs including their positions. rect : list The list of rectangles. floatwidthheightdepthz.list[tuple[FT2Font, float, int, float, float]]glyphsz'list[tuple[float, float, float, float]]rectsN__name__ __module__ __qualname____doc____annotations__r8r;r;KsQ  LLLMMMLLL::::222222rIr;cPeZdZUdZded<ded<ded<ded<ded<ded <d S) RasterParsea The namedtuple type returned by ``MathTextParser("agg").parse(...)``. Attributes ---------- ox, oy : float The offsets are always zero. width, height, depth : float The global metrics. image : FT2Image A raster image. r<oxoyr=r>r?r"imageNrBrHrIr8rKrKasR  III IIILLLMMMLLLOOOOOrIrKc*eZdZdZd dZddZdd Zd S)Outputz Result of `ship`\ping a box: lists of positioned glyphs and rectangles. This class is not exposed to end users, but converted to a `VectorParse` or a `RasterParse` by `.MathTextParser.parse`. boxBoxc0||_g|_g|_dSN)rQr@rA)selfrQs r8__init__zOutput.__init__s;= >@ rIr.r;cttj|jj|jj|jjg\}}fd|jD}fd|jD}t||z|||S)NcZg|]'\}}}|j|j|j||z |jzf(SrH)fontfontsizenumoffset).0rLrMinfohs r8 z$Output.to_vector..sK///"b$y$-2q2v 7KL///rIc8g|]\}}}}||z ||z ||z fSrHrH)r]x1y1x2y2r_s r8r`z$Output.to_vector..sF000 "b"b1r627BG,000rI) mapnpceilrQr=r>r?r@rAr;)rUwdgsrsr_s @r8 to_vectorzOutput.to_vectors Gdhndhotx~FHH1a////"&+///0000$(J0001a!eQB///rI antialiasedboolrKc 2tgd|jDd|jDddz }tgd|jDd|jDddz }tgd|jDd|jDddz}tgd |jDd |jDddz}||z }||z |jjz }||z |jjz }tttj |ttj |t|dz} t|j| | f} | jD]Q\} } } | j | t| t| | jjz | j| R| jD]\}}}}tt||z dz d}|dkr!||zd z }t||dzd z z }nt|}| t||ttj |||zt%dd|||z|| S) Nc4g|]\}}}||jjzSrH)metricsxminr]rLrMr^s r8r`z$Output.to_raster..(MMMRb4<,,MMMrIcg|] \}}}}| SrHrHr]rbrcrdres r8r`z$Output.to_raster.. :::^RRb:::rIrrc4g|]\}}}||jjz SrH)rrymaxrts r8r`z$Output.to_raster..rurIcg|] \}}}}| SrHrHrws r8r`z$Output.to_raster..rxrIc4g|]\}}}||jjzSrH)rrxmaxrts r8r`z$Output.to_raster..rurIcg|] \}}}}| SrHrHrws r8r`z$Output.to_raster..rxrIc4g|]\}}}||jjz SrH)rryminrts r8r`z$Output.to_raster..rurIcg|] \}}}}| SrHrHrws r8r`z$Output.to_raster..rxrI)rn)minr@rAmaxrQr?r>r"r/rgrhshiprYdraw_glyph_to_bitmaprricebergglyphdraw_rect_filledrK)rUrnrsrr}rzrir_rjrNshiftedrLrMr^rbrcrdrer>centerys r8 to_rasterzOutput.to_rasters?MMMMM?::tz:::?<=?@@BCD?MMMMM?::tz:::?<=?@@BCD?MMMMM?::tz:::?<=?@@BCD?MMMMM?::tz:::?<=?@@BCD 4K 4K$(. ( 4K$(/ )RWQZZ#bga#a))m.D.D*E*EFF tx4%$00#N ) )LBD I * *s2wwB)=$= > > ' + ) ) ) )&m M MNBBR"W)1--F{{r'Q&1*!1122GG  " "3r77As272;;/?/?V L L L L1aAE1e444rIN)rQrR)r.r;)rnror.rK)rCrDrErFrVrmrrHrIr8rPrPxs^AAAA 0000"5"5"5"5"5"5rIrPcneZdZUdZded<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=rsr}rrzrroslantedNrBrHrIr8rrsm(NNNMMMLLLKKKKKKKKKKKKNNNMMMMMrIrcVeZdZUded<ded<ded<ded<d ed <d ed <ded <dS)FontInfor!rYr<rZr-postscript_namerrrr/r[r+rr\NrCrDrErGrHrIr8rrsUMMMOOO HHHLLLMMMMMrIrcbeZdZdZd/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)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)rr)rUrrs r8rVzFonts.__init__s"3 0rIfont1r- 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. rH) rUrrrrrrrrrs r8get_kernzFonts.get_kerns rrIrYr!ctrTNotImplementedError)rUrYs r8 _get_fontzFonts._get_fonts!!rI font_classsymrZrctrTr)rUrYrrrZrs r8 _get_infozFonts._get_info!!rIrcB||||||}|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 )rrr)rUrYrrrZrr^s r8 get_metricszFonts.get_metricss%2~~dJXsCC|rIoutputrPrLrMNonec 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) rUrrLrMrYrrrZrr^s r8 render_glyphzFonts.render_glyph!s? ~~dJXsCC b"d^,,,,,rIrbrcrdrecB|j||||fdS)zL Draw a filled rectangle from (*x1*, *y1*) to (*x2*, *y2*). N)rArrUrrbrcrdres r8render_rect_filledzFonts.render_rect_filled*s)  RR,-----rIct)zF Get the xheight for the given *font* and *fontsize*. rrUrYrZrs r8 get_xheightzFonts.get_xheight1s"###rIct)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 r8get_underline_thicknesszFonts.get_underline_thickness7s "###rIfontnamelist[tuple[str, str]]c ||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. rHrUrrs r8!get_sized_alternatives_for_symbolz'Fonts.get_sized_alternatives_for_symbol>s3  rINrrrr$rr-rr-rr-rr<rr-rr-rr-rr<rr<r.r<)rYr-r.r!) rYr-rr-rr-rZr<rr<r.r) rYr-rr-rr-rZr<rr<r.r)rrPrLr<rMr<rYr-rr-rr-rZr<rr<r.r rrPrbr<rcr<rdr<rer<r.rrYr-rZr<rr<r.r<rr-rr-r.r)rCrDrErFrVrrrrrrrrrrHrIr8rrs 1 1 1 1""""""""8----....$$$$ $$$$!!!!!!rIrc`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$ct||tj|j|_i|_i|_t|j}t|}||jd<||jd<dS)Ndefaultregular) superrV functoolscacher_fontsfontmaprrr )rUrrfilename default_font __class__s r8rVzTruetypeFonts.__init__Os{ *,<==="88 -/ D233)) !- I!- IrIrY str | intr.r!c||jvr|j|}ntjt|}|j|}|ht j|rIt|}||j|<||j|j <||j|j <tjt|SrT) rTcastr-rgetospathexistsr rlowerr!)rUrYbasename cached_fonts r8rzTruetypeFonts._get_font[s 4<  |D)HHvc4((Hkooh//  27>>(#;#; "8,,K$/DK !7BDK 3 4?JDK 399;; <vg{+++rIrr+rZr<rcN|jdkr|jdz dz |dz |zdz zSdS)NCmex10@rr'Hr)rr>)rUrYrrZrs r8 _get_offsetzTruetypeFonts._get_offsetjs:  8 + +L2%)hqj3.>r.AB BrrIrr-rrtuple[FT2Font, int, bool]ctrTr)rUrrrs r8 _get_glyphzTruetypeFonts._get_glyphprrIrc ||||\}}}||||||j} d| jD\} } } } ||| ||}t | jdz | jdz | j dz | | | |z| |z| j dz |z| }t|||j ||| |S)N)flagsc3 K|] }|dz V dS)rNrH)r]vals r8 z*TruetypeFonts._get_info..{s&!A!As#(!A!A!A!A!A!ArIr) rr>r=rsr}rrzrr)rYrZrrrr[rr\) rset_size load_charrbboxrrlinearHoriAdvancer>r= horiBearingYrr)rUrrrrZrrYr[rrrsrr}rzr\rrs r8rzTruetypeFonts._get_infous !__Xz3GGc7 h$$$s$*?@@!A!Aej!A!A!AdD$!!$x==+e3<"$+"&+f4     0    rIc||}||||d}|0||tjdd||}|jS|ddz |dz z|dz z}|S)Npcltmathtext.defaultxxHeightgP@g(@gY@)rrget_sfnt_tablermplrcParamsr)rUrrZrrYrrrrs r8rzTruetypeFonts.get_xheights~~h'' h$$$""6** <&&#,'9:C3PPG? " ?T)ho>#+NrIcd|z|zdz S)Ng?gR@rHrs r8rz%TruetypeFonts.get_underline_thicknesss(3.$66rIrrrrrrrrc <||krm||krg|||||| } |||||| } | j} | | j| jtjdz St ||||||||| S)Nr)rrY get_kerningr[r#DEFAULTrr)rUrrrrrrrrrinfo1info2rYrs r8rzTruetypeFonts.get_kerns E>>i944NN5*dIsKKENN5*dIsKKE:D##EIuy'/JJRO Owwz4 %z4CII IrIr)rYrr.r!) rYr!rr+rZr<rr<r.r<rr-rr-rr-r.r) rr-rr-rr-rZr<rr<r.r)rr-rZr<rr<r.r<rr) rCrDrErFrVrrrrrrr __classcell__rs@r8rrIs . . . . . . , , , , """"     >    7777 I I I I I I I I I IrIr) metaclasscheZdZdZdddddddd ZdAfd ZedZdBdZ idgddgddgddgddgd d!gd"d#gd$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$ct|||_t|||jD](\}}t |}||j|<||j|<)dSrT) StixFonts_stix_fallbackrrV_fontmapitemsrr)rUrrkeyrfullpathrs r8rVzBakomaFonts.__init__s'(9;KLL *,<=== ++-- ) )HC}}H (DL  (DL   ) )rI \int \ointrr-rrr.rcd}||jvr>|tvr5t|\}}|dkp||jv}||}n?t |dkr,|dk}||}|t |}|||dkr|||fS|j|||S)Nr rrr) rr_slanted_symbolsrlenr2get_char_indexrr)rUrrrrYrr[rs r8rzBakomaFonts._get_glyphs t| # #(>(>+C0MHc8+Lt7L0LG>>(++DD XX]]4'G>>(++D#hh   3 3C 8 8A = =g% %&11(JLL LrI())rr")r¡)r³)rµ)rÃ)))rr')r¢)r´)r¶)r!{))rr,)r©)rn)r½)rr"}))rr0)rª)ro)r¾)rr'[))rr4)r£)rr_)r"]))rr7)r¤)ri)r#z\lfloor))r¥)rj)r¹)r$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-r[))rr[)r±)r.)rË)r,z\widehat))r^)rb)rc)rrjz \widetilde))r~)re)rf)rg)rr_rL)rr9rQ)<>) )z \leftparenr")z \rightparentr')z \leftbracer,)z \rightbracer0)z \leftbracketr4)z \rightbracketr7)\{r,)\}r0)\[r4)\]r7rc>|j|||fgSrT)_size_alternativesrrs r8rz-BakomaFonts.get_sized_alternatives_for_symbols"&**3(C0ABBBrIrrr)rCrDrErFrrVsetsplitrrrpaliastargetrrrs@r8rrsH))))))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!!CCCCCCCCrIrceZdZdZdddZdfd 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$ctjd}tttd|}|r |||nd|_t||d D]0}tjd|z}t|}||j |<1td}t|}||j d<t|jtrFddd d d d d }|D]*\} } t| } | |j | <| |j | <)dSdS)Nzmathtext.fallback)stixstixsanscmzcal rm tt it bf sf bfitz mathtext.rr STIXGeneralSTIXSizeOneSymSTIXSizeTwoSymSTIXSizeThreeSymSTIXSizeFourSymSTIXSizeFiveSym)rrrr')rrr StixSansFontsrr_fallback_fontrrVrrrrr isinstancer) rUrr fallback_rcfont_clstexfontproprYstixsizedaltfontssizenamerrs r8rVzUnicodeFonts.__init__0sxl#67 %0 0  #k    #+ 5xx(9;KLLL04  *,<===06688 ) )G< g 56DD>>D$(DL ! !h''~~! T d)9 5 5 .!$$&%% !'!' 05577 . . d#D>>%- T"%- T"" . . . .rIrrr-runiindexr/r.tuple[str, int]c ||fSrTrH)rUrrrs r8_map_virtual_fontzUnicodeFonts._map_virtual_fontUs !!rIrrc 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.rrrLz GREEK CAPITALrr zfonts/ttf/cmsy10.ttf)rrzComputer ModernzSubstituting symbol %s from %szNFont %r does not have a glyph for %a [U+%x], substituting with a dummy symbol.)r9r6r2_logwarningrchr unicodedatacategoryr startswithrr_cmr10_substitutions family_namer r_get_data_pathr!rrrrlistrrvaluesr^) rUrrrr found_symbol new_fontnamecharrrY glyphindexrhfamilys r8rzUnicodeFonts._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||fgSrT)rrrs r8rz.UnicodeFonts.get_sized_alternatives_for_symbols:   &HH# 3  rIrrr-rr-rr/r.rrr) rCrDrErFrrVrqrrrrrrrrs@r8rvrvs   !.!.!.!.!.!.Fs=..0011""""='='='='~!!!!!!!!rIrvc8eZdZUiZded<ddZdfd ZxZS) DejaVuFontsdict[str | int, str]rrrrr$ct|trt|||_nt |||_t |||_t||||j dddddd|j D](\}}t|}||j |<||j |<)dS)Nrrrrr)rrr'rr)rDejaVuSerifFontsrrrrbakomarrVrupdaterrrrUrrrrrs r8rVzDejaVuFonts.__init__s d, - - U"+,=?O"P"PD  "/0ACS"T"TD !"35EFF t%68HIII !       ,,.. * *IC~~H (DL !)DL   * *rIrr-rrr.rcV|dkr|j|||St|}|d}|>||}|dkr#t d||St |||S)N\primerr)rrr9rr!r)rUrrrrrYrrs r8rzDejaVuFonts._get_glyphs )  ;))(JDD D)--H>>$''D!00:: ?? 77--dJDDD77%%h C@@ @rIrr)rCrDrErrGrVrrrs@r8rrsn%'H''''*****AAAAAAAAAArIrc (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 DisplayrrrbfitrrrrNrCrDrErFrrHrIr8rrs> #(* $  HHHrIrc (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 DisplayrNrrHrIr8rrs> "') #  HHHrIrcxeZdZUdZddddddddd 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=boldrrrrr) rrrrnonunirmnonuniitnonunibfrrrr'rrrrNFrrrr$ct||||jD](\}}t |}||j|<||j|<)dSrT)rrVrrrrrs r8rVzStixFonts.__init__ smt%68HIII,,.. * *IC~~H (DL !)DL   * *rIrr-rrr/r.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)rrrTFrrrrr'r)rr)rrrriinonuni) rr_sansrdictr5rr rrr) rUrrr font_mappingdoing_sans_conversionmappinglohimidranges r8rzStixFonts._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,r0r4r7u⟨u⟩)rkrlrmrnrirjcg|]?}|dk.|tf@S)r)rr!r)r]r9rUrs r8r`z?StixFonts.get_sized_alternatives_for_symbol..WsULLLq>>!,,;;HEEJJCMM*JJJrIrU)rr9r6r)rUrrfixes alternativesrs` @r8rz+StixFonts.get_sized_alternatives_for_symbolHs s3s67   iiS!! %(--HH % % %sO$ $ $ $ %LLLLLE!HHLLL  ,  ',Ls3AArr)rr-rr-r.r) rCrDrErFrrGrrrVrrrrrHrIr8rrs  "')$+0      &&HN E****4"4"4"4"l__rIrceZdZdZdZdS)rzd A font handling class for the STIX fonts (that uses sans-serif characters by default). TN)rCrDrErFrrHrIr8rr`s EEErIrffffff?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) rCrDrErFrrGrrrrrrrrHrIr8rrs '+L****"%G$$$$"D!!!!"D!!!!"D!!!! %E$$$$ (+M****),N++++++rIrc.eZdZdZdZdZdZdZdZdZ dZ dS)ComputerModernFontConstantsg333333?rg?rN) rCrDrErrrrrrrrrHrIr8rrs6LG D D D EMNNNrIrc&eZdZdZdZdZdZdZdZdS)STIXFontConstantsr皙?333333?rrN) rCrDrErrrrrrrHrIr8rrs,L D D EMNNNrIrceZdZdZdZdZdZdS)STIXSansFontConstantsrrrrN)rCrDrErrrrrHrIr8rrs"L DMNNNrIrceZdZdS)DejaVuSerifFontConstantsNrCrDrErHrIr8rrDrIrceZdZdS)DejaVuSansFontConstantsNrrHrIr8rrrrIrrrrr rr r r rr r~rrrrrr)zBitstream Vera SanszBitstream Verastate ParserStatetype[FontConstantsBase]ct|j|jjt }|tur!t|jtrtS|SrT) _font_constant_mappingrfontsetrrYrrrrrr)r constantss r8_get_font_constant_setrsb&**  ++79JLLI &&& u}m 4 4 '$$ rIc:eZdZdZddZddZdd Zdd ZddZdS)NodezA node in the TeX box model.r.rcd|_dSNrrrUs r8rVz Node.__init__s  rIr-c*t|jSrT)typerCrs r8__repr__z Node.__repr__sDzz""rInext Node | Noner<cdSNrrH)rUrs r8rzNode.get_kerningssrIc&|xjdz c_dS)z Shrinks one level smaller. There are only three levels of sizes, after which things will no longer get smaller. rNrrs r8shrinkz Node.shrinks Q rIrrPrrcdS)zRender this node.NrHrUrrrs r8renderz Node.rendersrINr.rr.r-rrr.r<rrPrr<rr<r.r) rCrDrErFrVrrr r rHrIr8rrs~&&####      rIrc8eZdZdZdfd Zdfd ZddZxZS)rRz A node with a physical location.r=r<r>r?r.rcrt||_||_||_dSrT)rrVr=r>r?)rUr=r>r?rs r8rVz Box.__init__ s2    rIct|jtkrA|xjt zc_|xjt zc_|xjt zc_dSdSrT)rr rNUM_SIZE_LEVELSr= SHRINK_FACTORr>r?rUrs r8r z Box.shrinks`  9 & & JJ= (JJ KK= (KK JJ= (JJJJ ' &rIrrPrbrcrdrecdSrTrHrs r8r z Box.renders rI)r=r<r>r<r?r<r.rrr)rCrDrErFrVr r rrs@r8rRrR su** ))))))        rIrRc$eZdZdZdfd ZxZS)Vboxz$A box with only height (zero width).r>r<r?cNtd||dSrrrV)rUr>r?rs r8rVz Vbox.__init__!s% VU+++++rI)r>r<r?r<rCrDrErFrVrrs@r8rrsC..,,,,,,,,,,rIrc$eZdZdZdfd ZxZS)Hboxz.A box with only width (zero height and depth).r=r<cNt|dddSrrrUr=rs r8rVz Hbox.__init__(s% B'''''rIr=r<rrs@r8rr%sC88((((((((((rIrcXeZdZdZdfd ZddZdd Zdd ZddZddZ dfd Z xZ S)Chara A single character. Unlike TeX, the font information and metrics are stored with each `Char` to make it easier to lookup the font metrics when needed. Note that TeX boxes have a width, height, and depth, unlike Type1 and TrueType which use a full bounding box and an advance in the x-direction. The metrics must be converted to the TeX model, and the advance (if different from width) must be converted into a `Kern` node when the `Char` is added to its parent `Hlist`. rdr-rrct||_|j|_|j|_|j|_|j|_|j|_|dSrT) rrVrdrrYrrZr_update_metrics)rUrdrrs r8rVz Char.__init__9sh } J * 9 rIr.cd|jzS)Nz`%s`rdrs r8rz Char.__repr__EsrIrc |j|j|j|j|j|jx}|_|jdkr |j|_ n |j |_ |j |_ |j |j z |_ dS)N ) rrrYrrdrZr_metricsrr=rr>r?rUrrs r8r&zChar._update_metricsHsy"&,":": It tx#I#I I$- 6S== DJJ DJo 78 rIroc|jjSrT)r+rrs r8 is_slantedzChar.is_slantedRs }$$rIrrr<c |jj|jz }d}t|trO|j|j|j|j |j |j|j|j |j |j }||zS)z Return the amount of kerning between this and the given character. This method is called when characters are strung together into `Hlist` to create `Kern` nodes. r) r+rr=rr$rrrYrrdrZr)rUrrkerns r8rzChar.get_kerningUsv-'$*4 dD ! ! <(( 4?DFDM 4?DFDMD~rIrrPrrc z|j||||j|j|j|j|jdSrT)rrrYrrdrZrr s r8r z Char.renderesG !! Aq It tx I I I I IrIct|jtkrV|xjt zc_|xjt zc_|xjt zc_|xjt zc_dSdSrT) rr rrrZrr=r>r?rs r8r z Char.shrinkjsp  9 & & MM] *MM JJ] *JJ KK] *KK JJ] *JJJJ ' &rI)rdr-rrrr)r.rorr) rCrDrErFrVrr&r.rr r rrs@r8r$r$,s        9999%%%% IIII ++++++++++rIr$c4eZdZdZd dZd fd Zd d ZxZS)Accentz The font metrics need to be dealt with differently for accents, since they are already offset correctly from the baseline in TrueType fonts. r.rc|j|j|j|j|j|jx}|_|j|j z |_ |j |j z |_ d|_dSr)rrrYrrdrZrr+r}rsr=rzrr>r?r,s r8r&zAccent._update_metricsyse"&,":": It tx#I#I I$-\GL0 lW\1  rIcpt|dSrT)rr r&rs r8r z Accent.shrinks/  rIrrPrr<rc |j|||jjz ||jjz|j|j|j|j|j dSrT) rrr+rsrrYrrdrZrr s r8r z Accent.renders[ !! A **A 0B,B It tx I I I I IrIrr)rCrDrErFr&r r rrs@r8r4r4ssw IIIIIIIIrIr4cDeZdZdZdfd Zdfd ZddZdfd ZxZS)Listz0A list of nodes (either horizontal or vertical).elementsT.Sequence[Node]ctdddd|_g||_d|_d|_d|_dS)Nrr)rrV shift_amountchildrenglue_set glue_sign glue_orderrUr:rs r8rVz List.__init__sK R$$$#(   rIr.r-c dt|j|j|j|jdd|jDS)Nz/{}[{}]z, c,g|]}t|SrH)reprr]rs r8r`z!List.__repr__..s6661tAww666rI) formatrrr=r>r?r=joinr>rs r8rz List.__repr__sa@GG GG     J J) II66 666 7 7 99 9rIrr<signr/totals list[float] error_typerctfdttdddDdx|_}||_|dkr||z |_nd|_d|_|dkrEt|jr3t d|t|j |dSdSdS)Nc34K|]}|dk|VdS)rNrH)r]r9rJs r8rz!List._set_glue..s+ C C1F1INNQNNNN C CrIrrrz %s %s: %r) rrr rAr@r? glue_ratior>rrrrC)rUrrIrJrLr2s ` r8 _set_gluezList._set_glues" C C C Cc&kk**44R40 C C CQHH H! !9??q MDMMDN DO 664=!! D ['d)r rrrr=rr?)rUchildrs r8r z List.shrinkst]  E LLNNNN  9 & &    .   MM .MMMM ' &rI)r:r;r) rr<rIr/rJrKrLr-r.rr) rCrDrErFrVrrPr rrs@r8r9r9s::999999DDDD //////////rIr9cBeZdZdZ ddfd ZddZ dddZxZS)HlistzA horizontal list of boxes.r additionalTr:r;rir<rH"T.Literal['additional', 'exactly']do_kernroct||r||||dS)N)rirH)rrVr0hpack)rUr:rirHrWrs r8rVzHlist.__init__sN """   IIKKK Q! rIr.rcfg}t|j}|rt|D]}|j|}||dz kr|j|dz}nd}||||}|dkr$t |}||||_dSdS)z Insert `Kern` nodes between `Char` nodes to set kerning. The `Char` nodes themselves determine the amount of kerning they need (in `~Char.get_kerning`), and this function just creates the correct linked list. rNr)r r>rrrKern)rU new_children num_childrenr9elemrkerning_distancer0s r8r0z Hlist.kerns 4=))  )<(( . .}Q'|a'''=Q/DDD##D)))#'#3#3D#9#9 #r)) 011D ''---(DMMM ) )rIcd}d}d}dgdz}dgdz}|jD][}t|tr5||jz }t ||j}t ||j}Mt|tr~||jz }tj |jsZtj |jsAt|dd} t ||j| z }t ||j| z}t|trG|j } || jz }|| j xx| jz cc<|| jxx| jz cc<rr$r=rr>r?rRrgisinfgetattrGlue glue_spec stretch_orderstretch shrink_orderr r[r@rArOrP) rUrirHr_rjr total_stretch total_shrinkrVrYrfs r8rYz Hlist.hpacks0   q tax   A!T"" QW 18$$17OOAs## QW x)),"(172C2C,>266AAqx!|,,AAqw{++AAt$$ K Y_$i5666):KK666Y3444 8HH4444At$$ QW     FA E 77DNDO DO F r66 NN1a : : : : : NN1b, ; ; ; ; ;rI)rrUT)r:r;rir<rHrVrWrorrrU)rir<rHrVr.r)rCrDrErFrVr0rYrrs@r8rTrTs%%>A9E!%))))2 #6B?<?<?<?<?<?<?<?<?rrRr>r?rgrcr=rdrrerfrgrhrir r[r$ RuntimeErrorr@rArOrP) rUr_rHrDrirjrrjrkrVrYrfs r8rpz Vlist.vpack$s20   q tax  I IA!S!! IQ\!Gx((,>266AAqw{++AAt$$ IQK Y_$i5666):KK666Y3444 8HH4444At$$ IQ[ At$$ I"GIII I q55 QJADJJDJ   FA E 66DNDO DO F r66 NN1a : : : : : NN1b, ; ; ; ; ;rIrl)r:r;r_r<rHrV)r_r<rHrVrDr<r.r) rCrDrErFrVrginfrprrs@r8rnrns}##>A9E #6BG<G<G<G<G<G<G<G<Gr?rrcft||||j|_dSrT)rrVr)rUr=r>r?rrs r8rVz Rule.__init__ys, ...} rIrrPrrrir_r.rcN|j|||||z||zdSrT)rr)rUrrrrir_s r8r z Rule.render}s. ''1a!eQUCCCCCrI)r=r<r>r<r?r<rr) rrPrr<rr<rir<r_r<r.r)rCrDrErFrVr rrs@r8rurunsc%%%%%%DDDDDDDDrIruc&eZdZdZdd fd ZxZS) Hrulez.Convenience class to create a horizontal rule.Nrr thickness float | Nonec||}|dzx}}ttj|||dS)Nrget_current_underline_thicknessrrVrgrs)rUrrzr>r?rs r8rVzHrule.__init__sN  ==??I"S( 66666rIrT)rrrzr{rrs@r8ryrysH8877777777777rIryc$eZdZdZdfd ZxZS)Vrulez,Convenience class to create a vertical rule.rrc|}t|tjtj|dSrTr})rUrrzrs r8rVzVrule.__init__s<99;;  BFBFE:::::rI)rrrrs@r8rrsC66;;;;;;;;;;rIrcBeZdZUded<ded<ded<ded<ded<dS) _GlueSpecr<r=rhr/rgr riNrrHrIr8rrsELLLNNNMMMrIrr?rg)filfillfilllneg_filneg_fill neg_filllemptyssc0eZdZdZdfd Zd fd ZxZS) rea Most of the information in this object is stored in the underlying ``_GlueSpec`` class, which is shared between multiple glue objects. (This is a memory optimization which probably doesn't matter anymore, but it's easier to stick to what TeX does.) glue_type`_GlueSpec | T.Literal['fil', 'fill', 'filll', 'neg_fil', 'neg_fill', 'neg_filll', 'empty', 'ss']ctt|trtj|}n't|tr|}nt d||_dS)Nz.glue_type must be a glue spec name or instance)rrVrr-r_namedr6rf)rUrrfrs r8rVz Glue.__init__sq  i % % O!(3II  9 - - O!IIMNN N"rIr.rct|jtkr1|j}||jtz|_dSdS)Nr=)rr rrrf_replacer=r)rUrhrs r8r z Glue.shrinksS  9 & &AZZag .EZFFDNNN ' &rI)rrr)rCrDrErFrVr rrs@r8rereso # # # # # #GGGGGGGGGGrIrec$eZdZdZdfd ZxZS) HCenteredzl A convenience class to create an `Hlist` whose contents are centered within its enclosing box. r: list[Node]cttdg|tdddS)NrFrWrrVrerBs r8rVzHCentered.__init__s? $t**>>>>>>>>>rIrc@eZdZdZdZdZd fd Zd dZd fd ZxZ S)r[a A `Kern` node has a width field to specify a (normally negative) amount of spacing. This spacing correction appears in horizontal lists between letters like A and V when the font designer said that it looks better to move them closer together or further apart. A kern node can also appear in a vertical list, when its *width* denotes additional spacing in the vertical direction. rr=r<cVt||_dSrT)rrVr=r!s r8rVz Kern.__init__s$  rIr.r-cd|jzS)Nzk%.02frrs r8rz Kern.__repr__s$*$$rIrct|jtkr|xjt zc_dSdSrT)rr rrr=rrs r8r z Kern.shrinks@  9 & & JJ- 'JJJJ ' &rIr"rr) rCrDrErFr>r?rVrr rrs@r8r[r[sF E%%%%((((((((((rIr[c(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. FNrdr-r>r<r?rralwaysrofactorr{cR|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)rrrYrrZrcopyr$r>r?r rrVr=)rUrdr>r?rrrrr target_totalrrrshiftrs r8rVzAutoHeightChar.__init__sA}FF J -++ J 33 ~ )  MHc!EJU##D{TZ'<#-+GGGH :??c,//144~%tz)AB NNf $NNU##DTZ'E $   !rI)FN) rdr-r>r<r?r<rrrrorr{rrs@r8rrsR?C"""""""""""rIrc*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. Frdr-r=r<rrrro char_class type[Char]ch|j|j|}|}|D]%\}}||_|||} | j|krn&|| jz } |xj| zc_|||} t | g| j|_dSrT)rrrYrr=rZrrV) rUrdr=rrrrrrrrrs r8rVzAutoWidthChar.__init__$s}FF J  )  MHc!EJ:c5))DzU""## & z#u%% $   Z rI) rdr-r=r<rrrrorr)rCrDrErFr$rVrrs@r8rrsVQV*.           rIrrrrQxytuple[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)NgegeArH)rs r8clampzship..clampIs t||tt5HrIrQrTrcd}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)rAr@r>rr$r r=r[r9r r=rTrnrRr>r?rgrcrerfrgrhroundr?rir )rQcur_gcur_gluerAr@ base_line left_edgerVedge rule_height rule_depth rule_widthrfrcur_hcur_v hlist_outoff_hoff_vr vlist_outs r8rzship..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 $rIrncd}d}|j}|j}}|jz}|jD]'}t |t r |jz #t |trt|jdkr|j|j zz c|jz ||j z}|j|_t |tr |n+t |tr |n Jd||j z|t |trg|j} |j } |j} tj| r|j} | | z } | dkr*| dkr$| 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)rAr@r>r>rr[r=r9r r?r=rTrnrRrgrcr rerfrgrhrr?rir r$rr)rQrrrAr@rtop_edgerVsave_vrrrrfrrrrrrrrs r8rzship..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. IrI)rr<r.r<)rQrTr.r)rQrnr.r)r>rPrrT) rQrrLrMrrrrrrrrs @@@@@@@@r8rr8s FB E E E OE C[[FIIII=$=$=$=$=$=$=$=$=$=$=$=$=$~9I9I9I9I9I9I9I9I9I9I9I9I9Iv c5 ! !!!! IcNNN MrImsgrcRd fd }t|S) z$Helper class to raise parser errors.rYr-locr/toksrr.T.Anyc&t||rTr)rYrrrs r8 raise_errorzError..raise_errors!!S#...rIrYr-rr/rrr.r)rsetParseAction)rrs` r8Errorrs;////// 77 ! !+ . ..rIcdeZdZdZdd 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. rrrYr-rrZr<rcL||_||_||_||_||_dSrT)r_fontrrZr)rUrrYrrZrs r8rVzParserState.__init__s)  $  rIr.c*tj|SrT)rrs r8rzParserState.copysyrIc|jSrT)rrs r8rYzParserState.fonts zrIrrc*|dvr||_||_dS)N)rrrr)rr)rUrs r8rYzParserState.fonts - - -"DO rIcX|j|j|j|jS)z.Return the underline thickness for this state.)rrrYrZrrs r8r~z+ParserState.get_current_underline_thicknesss)|33 It}dh00 0rIN) rrrYr-rr-rZr<rr<r.rr)rr-r.r)r.r<) rCrDrErFrVrpropertyrYsetterr~rHrIr8rrsX [[ 000000rIexprargscd 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 |jVdSdSrT)rrexprs resultsName)rrnamess r8rzcmd..names s c? + + "  ' ' 5;;&&&&&&&& ' ' _ "/ ! ! ! ! ! " "rIr,rrc3 K|] }d|zV dS)z{%s}NrH)r]rs r8rzcmd..s&BBdFTMBBBBBBrIz Expected )rrr.r)rrrHr)rrcsnamer7rs @r8cmdrs""""""ZZQ   "Ffnn BGGBBeeDkkBBBBB B B"& TE"3c"3"3444 55rIc 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)rCrDrE DISPLAYSTYLE TEXTSTYLE SCRIPTSTYLESCRIPTSCRIPTSTYLErHrIr8 _MathStylers%   rIru+ * - − \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)rrrrrr)r]r9s r8r`zParser.sXGGG (Q006688<BBDDGGGrIuαuωrr.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)varsrrsetNamehasattrrrd)rrrVrUs r8set_names_and_parse_actionsz4Parser.__init__..set_names_and_parse_actionss GGMMOO ? ?S~~c**?"FFF C(((tS))?**74+=+=>>> ? ?rIgroupr-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)ralpharUnonalpha)isalpharrrGrHrfreescape)rrends_with_alphaends_with_nonalphars r8csnamesz Parser.__init__..csnamess O!#  4 48##%%4#**40000&--d3333OVV((3ry/#B#BCC&8@ssb XXc")5G&H&HII W rIz[-+]?([0-9]+\.?[0-9]*|\.[0-9]+)spacec6g|]}t|jSrH)r-r)r]rfs r8r`z#Parser.__init__..s 3 3 3aS\\ 3 3 3rI style_literalzI[a-zA-Z0-9 +\-*/<>=:,.;!\?&'@()\[\]|\U00000080-\U0001ffff]|\\[%${}\[\]_|]z|\\(?:{})(?![A-Za-z])rrz \\[A-Za-z]+rrYz\mathr,r0z\hspaceaccentz\fracr[denz\dfracz\binomz\genfracldelimrdelimrulesizestylez \sqrt{value}r4r7rootrz \overlinebodyz\overset annotationz \undersetz\textr1) endQuoteCharz \substackz\\)openerclosercontentpartsnucleusrrbsubsuperz'* apostrophesz'+z \operatornamez \boldsymbol\middlemdelimzExpected a delimiterz\leftleftrz\rightrightr>F)unquoteResultsz(?:(?:\\[$])|[^$])*r)rr-rrr.r)HtypesSimpleNamespacer float_literalr _space_widthsr rrrGrHrfrr rleaveWhitespacer,unknown_symbol _fontnamesrYr 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)rUrr r"rVs` @r8rVzParser.__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)))rIrYr- fonts_objectrrZr<rrTczt|dd||g|_i|_ |j|}n8#t $r+}t dtj|dzdd}~wwxYwg|_d|_ i|_tj tj t|dS)z Parse expression *s* using the given *fonts_object* for output, at the given *fontsize* and *dpi*. Returns the parse tree of `Node` instances. rr rNF)r _state_stack_em_width_cacherL parseStringr r6r explainrNr resetCacherrrT)rUrYrOrZrresultr7s r8r%z Parser.parseos  ix E EGFH N%11!44FF! N N NTN$:3$B$BBCC M N,1)! """veVAY'''s= A2&A--A2rc|jdS)z&Get the current `State` of the parser.r)rRrs r8 get_statezParser.get_states $$rIc8|jdS)zPop a `State` off of the stack.N)rRpoprs r8 pop_statezParser.pop_states rIc|j|dS)z=Push a new `State` onto the stack, copying the current state.N)rRrrYrrs r8 push_statezParser.push_states5   !1!1!6!6!8!899999rIrr list[Hlist]cFt|gSrT)rTasListrUrs r8rKz Parser.mainsdkkmm$$%%rIcV|j|ddddS)NrrrT)parseAll)rMrTrbs r8rIzParser.math_strings*$00a20NNNrIrcrt|}||gSrT)rTrar\)rUrhlists r8rHz Parser.maths.dkkmm$$ wrIc|ddd}fd|D}t|}tjd_|gS)Nrz\$r>cTg|]$}t|%SrH)r$rY)r]rdrUs r8r`z#Parser.non_math..s-88844>>++,,888rIr)replacerTr^rrrYrY)rUrrYsymbolsrfs` r8rJzParser.non_mathso GOOE3 ' '8888a888g  # -? @wrIc||d_tfd|dD}||gS)Nrc0g|]}t|SrH)r$)r]rdrs r8r`zParser.text..s!777!tAu~~777rIr)r^rYrYrTr\)rUrrfrs @r8rBz Parser.textsf    7777tAw77788 wrI percentager[c@|}|j|j|jf}|j|}|I|jdtj dd|j|j}|j }||j|<t||zS)NrrrH) rYrYrZrrSrrrrrrr[)rUrmrrr=rrs r8 _make_spacezParser._make_spaces   z5>595$((-- =m//cl#56 ++GOE(-D  %EJ&'''rIgKqU?g0Bxq?g%?g1ZGU?rrgKqUſ) \,z \thinspacez\/z\>z\:z\;z\ rez\enspacez\quadz\qquadz\!cX|j|d}||}|gSNr )r)ro)rUrr[rQs r8r z Parser.spaces- g/s##u rIc:||dgSrr)rorbs r8r4zParser.customspaces  g//00rIrr/ParseResults | dict[str, str]c|d}|dkrd} t||}n'#t$r}t||d|z|d}~wwxYw||jvrt d|d|dddDd}|jsI||jvrCt|d| dks|d h|j |j vr|gSt| d || d gd gS||jvrt d |d|dddDd}t d||dzdDd}|dkr|d kr |dkr|gS|dkr+|r|r|gSt|| d gd gS|gS)Nrr]u−zUnknown symbol: %sc3&K|] }|dk|V dSr*NrHr]rds r8rz Parser.symbol..&CCA!s((a((((CCrIrrrr,rTrc3&K|] }|dk|V dSrwrHrxs r8rz Parser.symbol..ryrIc3&K|] }|dk|V dSrwrHrxs r8rz Parser.symbol..s&AAASaAArIrrar0r_)r$rYr6r_spaced_symbolsrrN_binary_operatorsr rr _left_delims_relation_symbolsrTro_punctuation_symbolsisdigit) rUrYrrrdrr7 prev_char next_chars r8r,z Parser.symbolsv K 88 !A I4>>++,,DD I I I%a&:Q&>@@EH I I $ $ $CC4C42CCCRHHI1 -///$3$ ((A--?J"/?J262H?J2J2Jv t//44##//446'+,,,--$+ + +CC4C42CCCRHHIAA3788AAA2FFICxx## S(8(8 6MCxxI--//xI4E4E4G4Gxv tT%5%5c%:%:;TJJJKKv s"5 AAAc6t||d|d)NzUnknown symbol: rrrUrYrrs r8r+zParser.unknown_symbol s!!!S*KT&\*K*KLLLrIhatz\circumflexaccentbrevez\combiningbrevebarz\combiningoverlinegravez\combininggraveaccentacutez\combiningacuteaccenttildez\combiningtildedotz\combiningdotaboveddotz\combiningdiaeresisdddotz\combiningthreedotsaboveddddotz\combiningfourdotsabovevecz\combiningrightarrowabover6`rJrer_rbz \rightarrowz \leftarrowz\circ)overrightarrow overleftarrowmathringzwidehat widetilde widebarc<|}|}|d}|d}||jvr!td|z|j|t }nt |j||}|dkr(||tt|jdz |g}| |jdt|td|d zt|ggS) Nrrr1)rrg@exactlyr@)rYr~r6rr=r4r5r rrrYrnrrT)rUrrrzrr accent_boxcentereds r8rz Parser.accent# s  99;; h5k T' ' '&v sy%FDDDJJ  0 8%@@J Z              d39s?33Z@AAsy),,,RS))se  rIcN||||}|d|_|S)Nr)rF function_name)rUrYrrrfs r8r8zParser.function9 s*!!!S$//"6l rIcH||}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) Nrrrzoperatorname{}c3&K|] }|dk|V dSrwrHrxs r8rz&Parser.operatorname..Q s&CC!s((!((((CCrIrrbrrp>rrbTF)r^rYrYrr$r&rr-r rrr/_overunder_functionsror)r\rNrT) rUrYrrr hlist_listrrd next_char_locr delimiterss r8rFzParser.operatorname> s    !# F| % %A!T"" %!!###!!!$$$$As## %!!$q%..1111!!!$$$$c$ii!+ dL ) ) 3 S!122 2MCCQ}~~%6CCCRHH \S#J. 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