rbitdZddlmZddlZddlZddlZddlZddlZddlZddl Z ddl Z ddl Z ddl Z ddl Zddl mZddlZddlmZmZmZmZmZmZmZmZmZmZmZmZmZm Z m!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 l0m1Z1m2Z2m3Z3dd l4m5Z5m6Z6m7Z7m8Z8ej9r dd l:m;Z;dd l4md Z?ddZ@GddeZAd eA_BGddeZCd eC_BGddZDGddeZEGddeZFGddejGZHGdd eHejI!ZJGd"d#eJZKGd$d%eJZLGd&d'eLejI!ZMGd(d)eMZNGd*d+eMZOGd,d-eLZPGd.d/ePZQd0ZRd1ZSGd2d3ZTGd4d5eTZUGd6d7eTZVGd8d9eTZWGd:d;eTZXGd<d=eTZYid>eYd?eYd@eXdAeUdBeUdCeUdDeUdEeUdFeUdGeUdHeVdIeVdJeVdKeVdLeVdMeVdNeVeYeYdOZZddSZ[GdTdUZ\GdVdWe\Z]GdXdYe]Z^GdZd[e]Z_Gd\d]e\Z`Gd^d_e`ZaGd`dae]ZbGdbdcebZcGdddeebZdGdfdge]ZeGdhdieeZfGdjdkeeZgGdldmeZhehdndoddndehdndodpdndehdndodqdndehdndnddodehdndnddodpehdndnddodqehdndnddndehdndoddrddseh_iGdtdue\ZjGdvdwecZkGdxdyedZlGdzd{e\ZmGd|d}ecZnGd~decZodddZpddZqGddQZrddZsGddZtdS)z. Implementation details for :mod:`.mathtext`. ) annotationsN) NamedTuple)EmptyForwardLiteralGroupNotAny OneOrMoreOptionalParseBaseExceptionParseExceptionParseExpressionParseFatalException ParserElement ParseResults QuotedStringRegex StringEnd ZeroOrMorepyparsing_common nested_exprone_of)cbook)latex_to_bakomastix_glyph_fixesstix_virtual_fontstex2uni)FontPropertiesfindfontget_font)FT2FontFT2ImageKerning LoadFlags)Iterable)Glyphzmatplotlib.mathtextsymbolstrreturnintc t|S#t$rYnwxYw t|dS#t$r}t |d|d}~wwxYw)z Return the integer index (from the Unicode table) of *symbol*. Parameters ---------- symbol : str A single (Unicode) character, a TeX command (e.g. r'\pi') or a Type1 symbol name (e.g. 'phi'). \z5 is not a valid Unicode character or TeX/Type1 symbolN)ord TypeErrorrstripKeyError ValueError)r(errs d/var/www/html/mdtn/previsions/meteo_cartes/venv/lib/python3.11/site-packages/matplotlib/_mathtext.pyget_unicode_indexr5/s 6{{      v||D))**  N N N s# A A$ AA$cFeZdZUdZded<ded<ded<ded<ded <d S) VectorParsea The namedtuple type returned by ``MathTextParser("path").parse(...)``. Attributes ---------- width, height, depth : float The global metrics. glyphs : list The glyphs including their positions. rect : list The list of rectangles. floatwidthheightdepthz.list[tuple[FT2Font, float, int, float, float]]glyphsz'list[tuple[float, float, float, float]]rectsN__name__ __module__ __qualname____doc____annotations__r4r7r7EsQ  LLLMMMLLL::::222222rEr7cPeZdZUdZded<ded<ded<ded<ded<ded <d S) RasterParsea The namedtuple type returned by ``MathTextParser("agg").parse(...)``. Attributes ---------- ox, oy : float The offsets are always zero. width, height, depth : float The global metrics. image : FT2Image A raster image. r8oxoyr9r:r;r#imageNr>rDrEr4rGrG[sR  III IIILLLMMMLLLOOOOOrErGc*eZdZdZd dZddZdd Zd S)Outputz Result of `ship`\ping a box: lists of positioned glyphs and rectangles. This class is not exposed to end users, but converted to a `VectorParse` or a `RasterParse` by `.MathTextParser.parse`. boxBoxc0||_g|_g|_dSN)rMr<r=)selfrMs r4__init__zOutput.__init__zs;= >@ rEr*r7cttj|jj|jj|jjg\}}fd|jD}fd|jD}t||z|||S)NcZg|]'\}}}|j|j|j||z |jzf(SrD)fontfontsizenumoffset).0rHrIinfohs r4 z$Output.to_vector..sK///"b$y$-2q2v 7KL///rEc8g|]\}}}}||z ||z ||z fSrDrD)rYx1y1x2y2r[s r4r\z$Output.to_vector..sF000 "b"b1r627BG,000rE) mapnpceilrMr9r:r;r<r=r7)rQwdgsrsr[s @r4 to_vectorzOutput.to_vectors Gdhndhotx~FHH1a////"&+///0000$(J0001a!eQB///rE antialiasedboolrGc 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|]\}}}||jjzSrD)metricsxminrYrHrIrZs r4r\z$Output.to_raster..(MMMRb4<,,MMMrEcg|] \}}}}| SrDrDrYr^r_r`ras r4r\z$Output.to_raster.. :::^RRb:::rErrc4g|]\}}}||jjz SrD)rnymaxrps r4r\z$Output.to_raster..rqrEcg|] \}}}}| SrDrDrss r4r\z$Output.to_raster..rtrEc4g|]\}}}||jjzSrD)rnxmaxrps r4r\z$Output.to_raster..rqrEcg|] \}}}}| SrDrDrss r4r\z$Output.to_raster..rtrEc4g|]\}}}||jjz SrD)rnyminrps r4r\z$Output.to_raster..rqrEcg|] \}}}}| SrDrDrss r4r\z$Output.to_raster..rtrE)rj)minr<r=maxrMr;r:r#r+rcrdshiprUdraw_glyph_to_bitmaprnicebergglyphdraw_rect_filledrG)rQrjror|ryrvrer[rfrJshiftedrHrIrZr^r_r`rar:centerys r4 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 L1aAE1e444rEN)rMrN)r*r7)rjrkr*rG)r?r@rArBrRrirrDrEr4rLrLrs^AAAA 0000"5"5"5"5"5"5rErLcneZdZUdZded<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). r8advancer:r9roryr|rvrrkslantedNr>rDrEr4rrsm(NNNMMMLLLKKKKKKKKKKKKNNNMMMMMrErcVeZdZUded<ded<ded<ded<d ed <d ed <ded <dS)FontInfor"rUr8rVr)postscript_namerrnr+rWr'rrXNr?r@rArCrDrEr4rrsUMMMOOO HHHLLLMMMMMrErcbeZdZdZd/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)rQrrs r4rRzFonts.__init__s"3 0rEfont1r) fontclass1sym1 fontsize1r8font2 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. rD) rQrrrrrrrrrs r4get_kernzFonts.get_kerns rrErUr"ctrPNotImplementedError)rQrUs r4 _get_fontzFonts._get_fonts!!rE font_classsymrVrctrPr)rQrUrrrVrs r4 _get_infozFonts._get_info!!rErcB||||||}|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 )rrn)rQrUrrrVrrZs r4 get_metricszFonts.get_metricss%2~~dJXsCC|rEoutputrLrHrINonec 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) rQrrHrIrUrrrVrrZs r4 render_glyphzFonts.render_glyphs? ~~dJXsCC b"d^,,,,,rEr^r_r`racB|j||||fdS)zL Draw a filled rectangle from (*x1*, *y1*) to (*x2*, *y2*). N)r=rrQrr^r_r`ras r4render_rect_filledzFonts.render_rect_filled$s)  RR,-----rEct)zF Get the xheight for the given *font* and *fontsize*. rrQrUrVrs r4 get_xheightzFonts.get_xheight+s"###rEct)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 r4get_underline_thicknesszFonts.get_underline_thickness1s "###rEfontnamelist[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. rDrQrrs r4!get_sized_alternatives_for_symbolz'Fonts.get_sized_alternatives_for_symbol8s3  rENrrrr%rr)rr)rr)rr8rr)rr)rr)rr8rr8r*r8)rUr)r*r") rUr)rr)rr)rVr8rr8r*r) rUr)rr)rr)rVr8rr8r*r)rrLrHr8rIr8rUr)rr)rr)rVr8rr8r*r rrLr^r8r_r8r`r8rar8r*rrUr)rVr8rr8r*r8rr)rr)r*r)r?r@rArBrRrrrrrrrrrrDrEr4rrs 1 1 1 1""""""""8----....$$$$ $$$$!!!!!!rErc`eZdZdZd%fd Zd&d Zd'dZd(dZd)dZd*dZ d+dZ d,fd$ Z xZ S)- TruetypeFontsza A generic base class for all font setups that use Truetype fonts (through FT2Font). rrrr%ct||tj|j|_i|_i|_t|j}t|}||jd<||jd<dS)Ndefaultregular) superrR functoolscacher_fontsfontmapr rr!)rQrrfilename default_font __class__s r4rRzTruetypeFonts.__init__Is{ *,<==="88 -/ D233)) !- I!- IrErU str | intr*r"c||jvr|j|}ntjt|}|j|}|ht j|rIt|}||j|<||j|j <||j|j <tjt|SrP) rTcastr)rgetospathexistsr!rlowerr")rQrUbasename cached_fonts r4rzTruetypeFonts._get_fontUs 4<  |D)HHvc4((Hkooh//  27>>(#;#; "8,,K$/DK !7BDK 3 4?JDK 399;; <vg{+++rErr'rVr8rcN|jdkr|jdz dz |dz |zdz zSdS)NCmex10@r~Hr)rr:)rQrUrrVrs r4 _get_offsetzTruetypeFonts._get_offsetds:  8 + +L2%)hqj3.>r.AB BrrErr)rrtuple[FT2Font, int, bool]ctrPr)rQrrrs r4 _get_glyphzTruetypeFonts._get_glyphjrrErc ||||\}}}||||||j} d| jD\} } } } ||| ||}t | jdz | jdz | j dz | | | |z| |z| j dz |z| }t|||j ||| |S)N)flagsc3 K|] }|dz V dS)rNrD)rYvals r4 z*TruetypeFonts._get_info..us&!A!As#(!A!A!A!A!A!ArEr) rr:r9roryr|rvrr)rUrVrrnrWrrX) rset_size load_charrbboxrrlinearHoriAdvancer:r9 horiBearingYrr)rQrrrrVrrUrWrrror|ryrvrXrns r4rzTruetypeFonts._get_infoos !__Xz3GGc7 h$$$s$*?@@!A!Aej!A!A!AdD$!!$x==+e3<"$+"&+f4     0    rEc||}||||d}|0||tjdd||}|jS|ddz |dz z|dz z}|S)Npcltmathtext.defaultxxHeightgP@g(@gY@)rrget_sfnt_tablermplrcParamsr)rQrrVrrUrrnrs r4rzTruetypeFonts.get_xheights~~h'' h$$$""6** <&&#,'9:C3PPG? " ?T)ho>#+NrEcd|z|zdz S)Ng?gR@rDrs r4rz%TruetypeFonts.get_underline_thicknesss(3.$66rErrrrrrrrc <||krm||krg|||||| } |||||| } | j} | | j| jtjdz St ||||||||| S)Nr)rrU get_kerningrWr$DEFAULTrr)rQrrrrrrrrrinfo1info2rUrs r4rzTruetypeFonts.get_kerns E>>i944NN5*dIsKKENN5*dIsKKE:D##EIuy'/JJRO Owwz4 %z4CII IrEr)rUrr*r") rUr"rr'rVr8rr8r*r8rr)rr)rr)r*r) rr)rr)rr)rVr8rr8r*r)rr)rVr8rr8r*r8rr) r?r@rArBrRrrrrrrr __classcell__rs@r4rrCs . . . . . . , , , , """"     >    7777 I I I I I I I I I IrEr) metaclasscheZdZdZdddddddd ZdAfd ZedZdBdZ idgddgddgddgddgd d!gd"d#gd$d%gd&d'gd(d)gd*d+gd,d-gd.d/gd0d1gd2d3gd4d5gd6d7gd8d9d:gd;dD]\Z Z e e e e <dCd@Z xZS)D BakomaFontsz Use the Bakoma TrueType fonts for rendering. Symbols are strewn about a number of font files, each of which has its own proprietary 8-bit encoding. cmsy10cmr10cmtt10cmmi10cmb10cmss10cmex10)calrmttitbfsfexrrrr%ct|||_t|||jD](\}}t |}||j|<||j|<)dSrP) StixFonts_stix_fallbackrrR_fontmapitemsr r)rQrrkeyrfullpathrs r4rRzBakomaFonts.__init__s'(9;KLL *,<=== ++-- ) )HC}}H (DL  (DL   ) )rE \int \ointrr)rrr*rcd}||jvr>|tvr5t|\}}|dkp||jv}||}n?t |dkr,|dk}||}|t |}|||dkr|||fS|j|||S)Nrrrr) rr_slanted_symbolsrlenr.get_char_indexrr)rQrrrrUrrWrs r4rzBakomaFonts._get_glyphs t| # #(>(>+C0MHc8+Lt7L0LG>>(++DD XX]]4'G>>(++D#hh   3 3C 8 8A = =g% %&11(JLL LrE())r r)r¡)r³)rµ)rÃ)))r r$)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)rrfz \widetilde))r ~)re)rf)rg)r r[rI)r r6rN)<>) )z \leftparenr)z \rightparenr$)z \leftbracer))z \rightbracer-)z \leftbracketr1)z \rightbracketr4)\{r))\}r-)\[r1)\]r4rc>|j|||fgSrP)_size_alternativesrrs r4rz-BakomaFonts.get_sized_alternatives_for_symbols"&**3(C0ABBBrErrr)r?r@rArBrrRsetsplitrrrmaliastargetrrrs@r4rrsH))))))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!!CCCCCCCCrErceZdZdZdddZdfd 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)rrr~r)rrr StixSansFontsrr_fallback_fontrrRror rr isinstancer) rQrr fallback_rcfont_clstexfontproprUstixsizedaltfontssizenamerrs r4rRzUnicodeFonts.__init__*sxl#67 %0 0  #k    #+ 5xx(9;KLLL04  *,<===06688 ) )G< g 56DD>>D$(DL ! !h''~~! T d)9 5 5 .!$$&%% !'!' 05577 . . d#D>>%- T"%- T"" . . . .rErrr)runiindexr+r*tuple[str, int]c ||fSrPrD)rQrrrs r4_map_virtual_fontzUnicodeFonts._map_virtual_fontOs !!rErrc 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 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.)r5r2r._logwarningrchr unicodedatacategoryr startswithrr_cmr10_substitutions family_namer!r_get_data_pathrrrrrlistrrvaluesrZ) rQrrrr found_symbol new_fontnamecharrrU glyphindexrefamilys r4rzUnicodeFonts._get_glyphSs 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||fgSrP)rrrs r4rz.UnicodeFonts.get_sized_alternatives_for_symbols:   &HH# 3  rErrr)rr)rr+r*rrr) r?r@rArBrrRrnrorrrrrrs@r4rsrss   !.!.!.!.!.!.Fs=..0011""""='='='='~!!!!!!!!rErsc8eZdZUiZded<ddZdfd ZxZS) DejaVuFontsdict[str | int, str]rrrrr%ct|trt|||_nt |||_t |||_t||||j dddddd|j D](\}}t|}||j |<||j |<)dS)Nr|r}r~rr)rr~rrr)rDejaVuSerifFontsrrrrbakomarrRrupdaterr rrQrrrrrs r4rRzDejaVuFonts.__init__s d, - - U"+,=?O"P"PD  "/0ACS"T"TD !"35EFF t%68HIII !       ,,.. * *IC~~H (DL !)DL   * *rErr)rrr*rcV|dkr|j|||St|}|d}|>||}|dkr#t d||St |||S)N\primerr)rrr5rrr)rQrrrrrUrrs r4rzDejaVuFonts._get_glyphs )  ;))(JDD D)--H>>$''D!00:: ?? 77--dJDDD77%%h C@@ @rErr)r?r@rArrCrRrrrs@r4rrsn%'H''''*****AAAAAAAAAArErc (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 rrbfitrrrrNr?r@rArBrrDrEr4rrs> #(* $  HHHrErc (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 DisplayrNrrDrEr4rrs> "') #  HHHrErcxeZdZUdZddddddddd 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 rrrnonunirmnonuniitnonunibfrrr~rrrrrNFrrrr%ct||||jD](\}}t |}||j|<||j|<)dSrP)rrRrrr rrs r4rRzStixFonts.__init__smt%68HIII,,.. * *IC~~H (DL !)DL   * *rErr)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)rrrTFr rr~rrr)r r)rr rriinonuni) rr_sansrdictr1rrrrr) rQrrr font_mappingdoing_sans_conversionmappinglohimidranges r4rzStixFonts._map_virtual_font s*-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)rYr6rQrs r4r\z?StixFonts.get_sized_alternatives_for_symbol..QsULLLq>>!,,;;HEEJJCMM*JJJrErR)rr5r2r)rQrrfixes alternativesrs` @r4rz+StixFonts.get_sized_alternatives_for_symbolBs s3s67   iiS!! %(--HH % % %sO$ $ $ $ %LLLLLE!HHLLL  ,  ',Ls3AArr)rr)rr)r*r) r?r@rArBrrCrrrRrrrrrDrEr4rrs  "')$+0      &&HN E****4"4"4"4"l__rErceZdZdZdZdS)rzd A font handling class for the STIX fonts (that uses sans-serif characters by default). TN)r?r@rArBrrDrEr4rrZs EEErErffffff?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) r?r@rArBrrCrrrrrrrrDrEr4rrs '+L****"%G$$$$"D!!!!"D!!!!"D!!!! %E$$$$ (+M****),N++++++rErc.eZdZdZdZdZdZdZdZdZ dZ dS)ComputerModernFontConstantsg333333?rg?rN) r?r@rArrrrrrrrrDrEr4rrs6LG D D D EMNNNrErc&eZdZdZdZdZdZdZdZdS)STIXFontConstantsr皙?333333?rrN) r?r@rArrrrrrrDrEr4rrs,L D D EMNNNrErceZdZdZdZdZdZdS)STIXSansFontConstantsrrrrN)r?r@rArrrrrDrEr4rrs"L DMNNNrErceZdZdS)DejaVuSerifFontConstantsNr?r@rArDrEr4rrDrErceZdZdS)DejaVuSansFontConstantsNrrDrEr4rrrrErrrrr r rrr rrr{rrrr~r}r|)zBitstream Vera SanszBitstream Verastate ParserStatetype[FontConstantsBase]ct|j|jjt }|tur!t|jtrtS|SrP) _font_constant_mappingrfontsetrrUrrrrrr)r constantss r4_get_font_constant_setrsb&**  ++79JLLI &&& u}m 4 4 '$$ rEc:eZdZdZddZddZdd Zdd ZddZdS)NodezA node in the TeX box model.r*rcd|_dSNrrrQs r4rRz Node.__init__s  rEr)c*t|jSrP)typer?rs r4__repr__z Node.__repr__sDzz""rEnext Node | Noner8cdSNrrD)rQrs r4rzNode.get_kerningssrEc&|xjdz c_dS)z Shrinks one level smaller. There are only three levels of sizes, after which things will no longer get smaller. rNrrs r4shrinkz Node.shrinks Q rErrLrrcdS)zRender this node.NrDrQrrrs r4renderz Node.rendersrENr*rr*r)rrr*r8rrLrr8rr8r*r) r?r@rArBrRrrrr rDrEr4rrs~&&####      rErc8eZdZdZdfd Zdfd ZddZxZS)rNz A node with a physical location.r9r8r:r;r*rcrt||_||_||_dSrP)rrRr9r:r;)rQr9r:r;rs r4rRz Box.__init__s2    rEct|jtkrA|xjt zc_|xjt zc_|xjt zc_dSdSrP)rrrNUM_SIZE_LEVELSr9 SHRINK_FACTORr:r;rQrs r4rz Box.shrink s`  9 & & JJ= (JJ KK= (KK JJ= (JJJJ ' &rErrLr^r_r`racdSrPrDrs r4r z Box.renders rE)r9r8r:r8r;r8r*rr r)r?r@rArBrRrr rrs@r4rNrNsu** ))))))        rErNc$eZdZdZdfd ZxZS)Vboxz$A box with only height (zero width).r:r8r;cNtd||dSrrrR)rQr:r;rs r4rRz Vbox.__init__s% VU+++++rE)r:r8r;r8r?r@rArBrRrrs@r4rrsC..,,,,,,,,,,rErc$eZdZdZdfd ZxZS)Hboxz.A box with only width (zero height and depth).r9r8cNt|dddSrrrQr9rs r4rRz Hbox.__init__"s% B'''''rEr9r8rrs@r4rrsC88((((((((((rErcXeZdZdZdfd ZddZdd Zdd ZddZddZ dfd Z xZ S)Chara A single character. Unlike TeX, the font information and metrics are stored with each `Char` to make it easier to lookup the font metrics when needed. Note that TeX boxes have a width, height, and depth, unlike Type1 and TrueType which use a full bounding box and an advance in the x-direction. The metrics must be converted to the TeX model, and the advance (if different from width) must be converted into a `Kern` node when the `Char` is added to its parent `Hlist`. rar)rrct||_|j|_|j|_|j|_|j|_|j|_|dSrP) rrRrarrUrrVr_update_metrics)rQrarrs r4rRz Char.__init__3sh } J * 9 rEr*cd|jzS)Nz`%s`rars r4rz Char.__repr__?srErc |j|j|j|j|j|jx}|_|jdkr |j|_ n |j |_ |j |_ |j |j z |_ dS)N ) rrrUrrarVr_metricsrr9rr:r;rQrns r4r#zChar._update_metricsBsy"&,":": It tx#I#I I$- 6S== DJJ DJo 78 rErkc|jjSrP)r(rrs r4 is_slantedzChar.is_slantedLs }$$rErrr8c |jj|jz }d}t|trO|j|j|j|j |j |j|j|j |j |j }||zS)z Return the amount of kerning between this and the given character. This method is called when characters are strung together into `Hlist` to create `Kern` nodes. r) r(rr9rr!rrrUrrarVr)rQrrkerns r4rzChar.get_kerningOsv-'$*4 dD ! ! <(( 4?DFDM 4?DFDMD~rErrLrrc z|j||||j|j|j|j|jdSrP)rrrUrrarVrr s r4r z Char.render_sG !! Aq It tx I I I I IrEct|jtkrV|xjt zc_|xjt zc_|xjt zc_|xjt zc_dSdSrP) rrrrrVrr9r:r;rs r4rz Char.shrinkdsp  9 & & MM] *MM JJ] *JJ KK] *KK JJ] *JJJJ ' &rE)rar)rrr r )r*rkr r) r?r@rArBrRrr#r+rr rrrs@r4r!r!&s        9999%%%% IIII ++++++++++rEr!c4eZdZdZd dZd fd Zd d ZxZS)Accentz The font metrics need to be dealt with differently for accents, since they are already offset correctly from the baseline in TrueType fonts. r*rc|j|j|j|j|j|jx}|_|j|j z |_ |j |j z |_ d|_dSr)rrrUrrarVrr(ryror9rvr|r:r;r)s r4r#zAccent._update_metricssse"&,":": It tx#I#I I$-\GL0 lW\1  rEcpt|dSrP)rrr#rs r4rz Accent.shrinkzs/  rErrLrr8rc |j|||jjz ||jjz|j|j|j|j|j dSrP) rrr(ror|rUrrarVrr s r4r z Accent.render~s[ !! A **A 0B,B It tx I I I I IrEr r)r?r@rArBr#rr rrs@r4r1r1msw IIIIIIIIrEr1cDeZdZdZdfd Zdfd ZddZdfd ZxZS)Listz0A list of nodes (either horizontal or vertical).elementsT.Sequence[Node]ctdddd|_g||_d|_d|_d|_dS)Nrr)rrR shift_amountchildrenglue_set glue_sign glue_orderrQr7rs r4rRz List.__init__sK R$$$#(   rEr*r)c dt|j|j|j|jdd|jDS)Nz/{}[{}]z, c,g|]}t|SrD)reprrYrs r4r\z!List.__repr__..s6661tAww666rE) formatrrr9r:r;r:joinr;rs r4rz List.__repr__sa@GG GG     J J) II66 666 7 7 99 9rErr8signr+totals list[float] error_typerctfdttdddDdx|_}||_|dkr||z |_nd|_d|_|dkrEt|jr3t d|t|j |dSdSdS)Nc34K|]}|dk|VdS)rNrD)rYr6rGs r4rz!List._set_glue..s+ C C1F1INNQNNNN C CrErrrz %s %s: %r) rrrr>r=r< glue_ratior;rrrr?)rQrrFrGrIr/s ` r4 _set_gluezList._set_glues" C C C Cc&kk**44R40 C C CQHH H! !9??q MDMMDN DO 664=!! D ['d)rLrM) rQrerEr[rfr total_stretch total_shrinkrSrVrcs r4rVz Hlist.hpacks0   q tax   A!T"" QW 18$$17OOAs## QW x)),"(172C2C,>266AAqx!|,,AAqw{++AAt$$ K Y_$i5666):KK666Y3444 8HH4444At$$ QW     FA E 77DNDO DO F r66 NN1a : : : : : NN1b, ; ; ; ; ;rE)rrRT)r7r8rer8rErSrTrkr rrR)rer8rErSr*r)r?r@rArBrRr-rVrrs@r4rQrQs%%>A9E!%))))2 #6B?<?<?<?<?<?<?<?<?rLrM) rQr[rErArerfrrgrhrSrVrcs r4rmz Vlist.vpacks20   q tax  I IA!S!! IQ\!Gx((,>266AAqw{++AAt$$ IQK Y_$i5666):KK666Y3444 8HH4444At$$ IQ[ At$$ I"GIII I q55 QJADJJDJ   FA E 66DNDO DO F r66 NN1a : : : : : NN1b, ; ; ; ; ;rEri)r7r8r[r8rErS)r[r8rErSrAr8r*r) r?r@rArBrRrcinfrmrrs@r4rkrks}##>A9E #6BG<G<G<G<G<G<G<G<G>>>>>>>>>rErc@eZdZdZdZdZd fd Zd dZd fd ZxZ S)rXa 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. rr9r8cVt||_dSrP)rrRr9rs r4rRz Kern.__init__s$  rEr*r)cd|jzS)Nzk%.02frrs r4rz Kern.__repr__s$*$$rErct|jtkr|xjt zc_dSdSrP)rrrrr9rrs r4rz Kern.shrinks@  9 & & JJ- 'JJJJ ' &rErr r ) r?r@rArBr:r;rRrrrrs@r4rXrXsF E%%%%((((((((((rErXc(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:r8r;rralwaysrkfactorrxcR|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)rrrUrrVrcopyr!r:r;rrrRr:)rQrar:r;rrrrr target_totalrrrshiftrs r4rRzAutoHeightChar.__init__sA}FF J -++ J 33 ~ )  MHc!EJU##D{TZ'<#-+GGGH :??c,//144~%tz)AB NNf $NNU##DTZ'E $   !rE)FN) rar)r:r8r;r8rrrrkrrxrrs@r4rrsR?C"""""""""""rErc*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)r9r8rrrrk char_class type[Char]ch|j|j|}|}|D]%\}}||_|||} | j|krn&|| jz } |xj| zc_|||} t | g| j|_dSrP)rrrUrr9rVrrR) rQrar9rrrrrrrrrs r4rRzAutoWidthChar.__init__s}FF J  )  MHc!EJ:c5))DzU""## & z#u%% $   Z rE) rar)r9r8rrrrkrr)r?r@rArBr!rRrrs@r4rrsVQV*.           rErrrrMxytuple[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. rvaluer8r*c&|dkrdn |dkrdn|S)NgegeArD)rs r4clampzship..clampCs t||tt5HrErMrQrcd}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 r9rXr6rr:rQrkrNr:r;rcr`rbrcrdreroundr<rfr)rMcur_gcur_gluer>r= base_line left_edgerSedge rule_height rule_depth rule_widthrcrcur_hcur_v hlist_outoff_hoff_vr vlist_outs r4rzship..hlist_outFs^ 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 $rErkcd}d}|j}|j}}|jz}|jD]'}t |t r |jz #t |trt|jdkr|j|j zz c|jz ||j z}|j|_t |tr |n+t |tr |n Jd||j z|t |trg|j} |j } |j} tj| r|j} | | z } | dkr*| dkr$| 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;rrXr9r6rr;r:rQrkrNrcr`r rbrcrdrerr<rfrr!ro)rMrrr>r=rtop_edgerSsave_vrrrrcrrrrrrrrs r4rzship..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. IrE)rr8r*r8)rMrQr*r)rMrkr*r)r:rLrrQ) rMrrHrIrrrrrrrrs @@@@@@@@r4rr2s FB E E E OE C[[FIIII=$=$=$=$=$=$=$=$=$=$=$=$=$~9I9I9I9I9I9I9I9I9I9I9I9I9Iv c5 ! !!!! IcNNN MrEmsgrcRd fd }t|S) z$Helper class to raise parser errors.rVr)locr+toksrr*T.Anyc&t||rPr)rVrrrs r4 raise_errorzError..raise_errors!!S#...rErVr)rr+rrr*r)rset_parse_action)rrs` r4Errorrs;////// 77 # #K 0 00rEcdeZdZdZdd 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. rrrUr)rrVr8rcL||_||_||_||_||_dSrP)r_fontrrVr)rQrrUrrVrs r4rRzParserState.__init__s)  $  rEr*c*tj|SrP)rrs r4rzParserState.copysyrEc|jSrP)rrs r4rUzParserState.fonts zrErrc*|dvr||_||_dS)N)r rrr)rr)rQrs r4rUzParserState.fonts - - -"DO rEcX|j|j|j|jS)z.Return the underline thickness for this state.)rrrUrVrrs r4r{z+ParserState.get_current_underline_thicknesss)|33 It}dh00 0rEN) rrrUr)rr)rVr8rr8r*rr )rr)r*r)r*r8) r?r@rArBrRrpropertyrUsetterr{rDrEr4rrsX [[ 000000rEexprargscd 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 |jVdSdSrP)rrexprs resultsName)rrnamess r4rzcmd..namess c? + + "  ' ' 5;;&&&&&&&& ' ' _ "/ ! ! ! ! ! " "rEr)rrc3 K|] }d|zV dS)z{%s}NrD)rYrs r4rzcmd.. s&BBdFTMBBBBBBrEz Expected )rrr*r)rorEr)rrcsnamer3rs @r4cmdrs""""""ZZQ   "Ffnn BGGBBeeDkkBBBBB B B"& TE"3c"3"3444 55rEc 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._MathStylerrr~rN)r?r@rA DISPLAYSTYLE TEXTSTYLE SCRIPTSTYLESCRIPTSCRIPTSTYLErDrEr4 _MathStylers%   rEru+ * - − \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)rYr6s r4r\zParser.sXGGG (Q006688<BBDDGGGrEuαuωrr*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)varsrrset_namehasattrrra)rrrSrQs r4set_names_and_parse_actionsz4Parser.__init__..set_names_and_parse_actionss GGMMOO A AS~~c**A"FFF S)))tS))A,,WT3-?-?@@@ A ArEgroupr)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)ralpharRnonalpha)isalpharrrDrErbreescape)rrends_with_alphaends_with_nonalphars r4csnamesz Parser.__init__..csnamess O!#  4 48##%%4#**40000&--d3333OVV((3ry/#B#BCC&8@ssb XXc")5G&H&HII W rEz[-+]?([0-9]+\.?[0-9]*|\.[0-9]+)spacec6g|]}t|jSrD)r)r)rYrcs r4r\z#Parser.__init__..s 3 3 3aS\\ 3 3 3rE style_literalzI[a-zA-Z0-9 +\-*/<>=:,.;!\?&'@()\[\]|\U00000080-\U0001ffff]|\\[%${}\[\]_|]z|\\(?:{})(?![A-Za-z])rrz \\[A-Za-z]+rrUz\mathr)r-z\hspaceaccentz\fracrWdenz\dfracz\binomz\genfracldelimrdelimrulesizestylez \sqrt{value}r1r4rootrz \overlinebodyz\overset annotationz \undersetz\textr-)end_quote_charz \substackz\\)openerclosercontentpartsnucleusrr_subsuperz'* apostrophesz'+z \operatornamez \boldsymbol\middlemdelimzExpected a delimiterz\leftleftrz\rightrightr;F)unquote_resultsz(?:(?:\\[$])|[^$])*r )rr)rrr*r)HtypesSimpleNamespacer float_literalr _space_widthsr rr rDrErbrrrleave_whitespacer(unknown_symbol _fontnamesrUr start_groupr end_group_delimsdelimrrrnamed_placeablerequired_groupoptional_grouprrr r customspace _accent_map _wide_accentsr _function_namesfunctionrrunclosed_groupfracdfracbinomgenfracr sqrtoverlineoversetundersetrtextrrsuppresssubstackrsimple operatorname boldsymbolrmath math_stringnon_mathmain _expression_math_expression_in_subscript_or_superscript)rQrr rrSs` @r4rRzParser.__init__s  ! # # A A A A A A A    "!!CDD56$"455g>>56 3 34? 3 3 3555DFF 5 &--RY001133 3    "!##  150088"764?;;#H/Fvdo/F/Fv/N/N$NOORUU "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|CcJJJKKO;c#/4Yqw5G5G/H/H'1'&//2J2J2L2L'M'M0NOOOOVXXYY #Xak " "9 - -:yc ++ak9:::FFGuT{{=))*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!  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