/jdZddlmZddlZddlZddlZddlZddlZddlZddl Z ddl Z ddl Z ddl Z ddl Z ddlZddlZddlZddlmZddlZddlmZddlmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z#m$Z$m%Z%m&Z&m'Z'm(Z(m)Z)m*Z*m+Z+m,Z,ddl-Z.ddl/m0Z0dd l1m2Z2m3Z3m4Z4m5Z5dd l6m7Z7m8Z8m9Z9dd l:m;Z;meaZbGd?d@ebZcGdAdBebZdGdCdDeaZeGdEdFeeZfGdGdHebZgGdIdJegZhGdKdLegZiGdMdNebZjGdOdPejZkGdQdRejZlGdSdTeZmemdUdVddUdemdUdVdWdUdemdUdVdXdUdemdUdUddVdemdUdUddVdWemdUdUddVdXemdUdUddUdemdUdVddYddZem_nGd[d\eaZoGd]d^ehZpGd_d`eiZqGdadbeaZrGdcddehZsGdedfehZtdqdrdgZudsdhZvGdidje(ZwGdkdlZxdtdmZyGdndoZzy)uz. Implementation details for :mod:`.mathtext`. ) annotationsN) NamedTuple)NDArray)EmptyForwardLiteralGroupNotAny OneOrMoreOptionalParseBaseExceptionParseExceptionParseExpressionParseFatalException ParserElement ParseResults QuotedStringRegex StringEndToken ZeroOrMorepyparsing_common nested_exprone_of)cbook)latex_to_bakomastix_glyph_fixesstix_virtual_fontstex2uni)FontPropertiesfindfontget_font)FT2FontKerning LoadFlags)Iterable)CharacterCodeTypeGlyphGlyphIndexTypezmatplotlib.mathtextc t|S#t$rYnwxYw t|jdS#t$r}t |d|d}~wwxYw)z Return the integer index (from the Unicode table) of *symbol*. Parameters ---------- symbol : str A single (Unicode) character, a TeX command (e.g. r'\pi') or a Type1 symbol name (e.g. 'phi'). \z5 is not a valid Unicode character or TeX/Type1 symbolN)ord TypeErrorr stripKeyError ValueError)symbolerrs W/root/repos/pocs/video-evals/.venv/lib/python3.12/site-packages/matplotlib/_mathtext.pyget_unicode_indexr54sg 6{    v||D)** jM N s 5 AA  AcDeZdZUdZded<ded<ded<ded<ded <y ) VectorParsea The namedtuple type returned by ``MathTextParser("path").parse(...)``. Attributes ---------- width, height, depth : float The global metrics. glyphs : list The glyphs including their positions. rect : list The list of rectangles. floatwidthheightdepthzLlist[tuple[FT2Font, float, CharacterCodeType, GlyphIndexType, float, float]]glyphsz'list[tuple[float, float, float, float]]rectsN__name__ __module__ __qualname____doc____annotations__r4r7r7Js$  L M L XX 22rEr7cNeZdZUdZded<ded<ded<ded<ded<ded <y ) RasterParsea The namedtuple type returned by ``MathTextParser("agg").parse(...)``. Attributes ---------- ox, oy : float The offsets are always zero. width, height, depth : float The global metrics. image : 2D array of uint8 A raster image. r8oxoyr9r:r;zNDArray[np.uint8]imageNr>rDrEr4rGrG`s(  I I L M L rErGc(eZdZdZddZddZddZy) Outputz Result of `ship`\ping a box: lists of positioned glyphs and rectangles. This class is not exposed to end users, but converted to a `VectorParse` or a `RasterParse` by `.MathTextParser.parse`. c.||_g|_g|_yN)boxr<r=)selfrOs r4__init__zOutput.__init__s;= >@ rEc ttj|jj|jj |jj g\}}}|jDcgc]F\}}}|j|j|j|j|||z |jzfH}}}}|jD cgc]\}} } } ||| | zz | | f} } } }} t|||z||| Scc}}}wcc} } } }wrN)mapnpceilrOr9r:r;r<fontfontsizenum glyph_indexoffsetr=r7) rPwhdrHrIinfogsbxbybwbhrss r4 to_vectorzOutput.to_vectors GGdhhnndhhootxx~~FH1a#'++//"b$yy$--43C3C1r6DKK')//%)JJ00 "b"b1R="b)001a!eQB// /0s .A C=D c tg|jDcgc]\}}}||jjz!c}}}|jDcgc] \}}}}| c}}}}ddz } tg|jDcgc]\}}}||jj z !c}}}|jDcgc] \}}}}| c}}}}ddz } t g|jDcgc]\}}}||jjz!c}}}|jDcgc] \}}}}||zc}}}}ddz} t g|jDcgc]\}}}||jjz !c}}}|jDcgc] \}}}}||zc}}}}ddz} | | z }| | z |jjz }| | z |jjz } tjtj|t | dztj|ftj }t#|j| | f}|jD]Y\}}}|j$j'|t)|t)||jj*z |j,|[|jD]\}}}}t t)|dz d}|dk(r||dz z}t)||dzdz z }n t)|}tj.|}tj||z}d||||zdz||dzf<t1dd||| z| |Scc}}}wcc}}}}wcc}}}wcc}}}}wcc}}}wcc}}}}wcc}}}wcc}}}}w)Nrr) antialiased)minr<metricsxminr=ymaxmaxxmaxyminrOr;r:rTzerosmathrUuint8shiprVdraw_glyph_to_bitmapinticebergglyphfloorrG)rPrgrHrIr^xyr[r\rlrprormr]rJshiftedrbrcr:centerx1x2s r4 to_rasterzOutput.to_rasters:MMRb4<<,,,M:*.**55JAq!Qa5:78:;=>?:MMRb4<<,,,M:*.**55JAq!Qa5:78:;=>?>MMRb4<<,,,M>.2jj99 1aa!e9>;<>?ABC>MMRb4<<,,,M>.2jj99 1aa!e9>;<>?ABC 4K 4K$((.. ( 4K$((// )$))AAq M2DIIaLA288L txx4%$0#NN )LBD II * *s2wB)=)=$= > ' + ) )$MM 0LAq"bR1a(F{R!V&1*!112FAB1r6"B+/E!AfHQJ,2a4' ( 01aAE1e44CN5M5M9M9s/$NN $N?N3$N$-N+$$N3N:N)rOBox)returnr7)rgboolrrG)r?r@rArBrQrerrDrEr4rLrLwsA 0$5rErLcleZdZUdZded<ded<ded<ded<ded<ded<ded <ded <d ed <y ) FontMetricsaa Metrics of a font. Attributes ---------- advance : float The advance distance (in points) of the glyph. height : float The height of the glyph in points. width : float The width of the glyph in points. xmin, xmax, ymin, ymax : float The ink rectangle of the glyph. iceberg : float The distance from the baseline to the top of the glyph. (This corresponds to TeX's definition of "height".) slanted : bool Whether the glyph should be considered as "slanted" (currently used for kerning sub/superscripts). r8advancer:r9rlrorprmrwrslantedNr>rDrEr4rrs6(N M L K K K K N MrErc^eZdZUded<ded<ded<ded<d ed <d ed <d ed<ded<y)FontInfor$rVr8rWstrpostscript_namerrkr(rXr*rYr)rxrZNr?r@rArCrDrEr4rrs. MO   L MrErceZdZdZddZ ddZddZ ddZ ddZ ddZ ddZ dd Z dd Z dd Z dd Z dd ZddZy)Fontsz An abstract base class for a system of fonts to use for mathtext. The class must be able to take symbol keys and font file names and return the character metrics. It also delegates to a backend class to do the actual drawing. c ||_||_y)a Parameters ---------- default_font_prop : `~.font_manager.FontProperties` The default non-math font, or the base font for Unicode (generic) font rendering. load_glyph_flags : `.ft2font.LoadFlags` Flags passed to the glyph loader (e.g. ``FT_Load_Glyph`` and ``FT_Load_Char`` for FreeType-based fonts). N)default_font_propload_glyph_flags)rPrrs r4rQzFonts.__init__s"3 0rEc y)z Get the kerning distance for font between *sym1* and *sym2*. See `~.Fonts.get_metrics` for a detailed description of the parameters. rD) rPfont1 fontclass1sym1 fontsize1font2 fontclass2sym2 fontsize2dpis r4get_kernzFonts.get_kernsrEctrNNotImplementedError)rPrVs r4 _get_fontzFonts._get_fonts!!rEctrNr)rPrV font_classsymrWrs r4 _get_infozFonts._get_info!!rEcD|j|||||}|jS)a` Parameters ---------- font : str One of the TeX font names: "tt", "it", "rm", "cal", "sf", "bf", "default", "regular", "normal", "bb", "frak", "scr". "default" and "regular" are synonyms and use the non-math font. "normal" denotes the normal 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 )rrk)rPrVrrrWrr^s r4 get_metricszFonts.get_metrics s$4~~dJXsC||rEc j|j|||||} |jj||| fy)z At position (*ox*, *oy*), draw the glyph specified by the remaining parameters (see `get_metrics` for their detailed description). N)rr<append) rPoutputrHrIrVrrrWrr^s r4 render_glyphzFonts.render_glyph&s2 ~~dJXsC b"d^,rEcB|jj||||fy)zM Draw a filled rectangle at (*x*, *y*) with size (*w*, *h*). N)r=rrPrrzr{r[r\s r4render_rect_filledzFonts.render_rect_filled/s  Q1aL)rEct)zJ Get the axis height for the given *font* and *fontsize*. rrPrVrWrs r4get_axis_heightzFonts.get_axis_height6 "##rEct)zM Get the size of a quad for the given *font* and *fontsize*. rrs r4get_quadzFonts.get_quad<rrEct)zF Get the xheight for the given *font* and *fontsize*. rrs r4 get_xheightzFonts.get_xheightBrrEct)z Get the line thickness that matches the given font. Used as a base unit for drawing lines such as in a fraction or radical. rrs r4get_underline_thicknesszFonts.get_underline_thicknessHs "##rEc ||fgS)a Override if your font provides multiple sizes of the same symbol. Should return a list of symbols matching *sym* in various sizes. The expression renderer will select the most appropriate size for a given situation from this list. rDrPfontnamers r4!get_sized_alternatives_for_symbolz'Fonts.get_sized_alternatives_for_symbolOs3  rEctSrN)FontConstantsBaserPs r4get_font_constantszFonts.get_font_constantsYs  rENrr!rr&rrrrrrrr8rrrrrrrr8rr8rr8rVrrr$) rVrrrrrrWr8rr8rr) rVrrrrrrWr8rr8rr)rrLrHr8rIr8rVrrrrrrWr8rr8rNone rrLrzr8r{r8r[r8r\r8rrrVrrWr8rr8rr8rrrrrzlist[tuple[str, str]]rztype[FontConstantsBase])r?r@rArBrQrrrrrrrrrrrrrDrEr4rrs 1),47DI %"""!)"#.:-!$-+.-:?-FK-PT-*#*(-*27*>(#;"8,K$/DKK !7BDKK 33 4?JDKK 3399; <vvg{++rEc^|jdk(r|jdz dz |dz |zdz zSy)NCmex10@rhHr)rr:)rPrVrxrWrs r4 _get_offsetzTruetypeFonts._get_offsetys:   8 +LL2%)hqj3.>r.AB BrEctrNr)rPrrrs r4 _get_glyphzTruetypeFonts._get_glyphrrEc |j|||\}}}|j|||j|} |j| |j} d| j D\} } } }|j || ||}t| jdz | jdz | jdz | | | |z||z| jdz |z| }t|||j||| | |S)N)flagsc3&K|] }|dz  yw)rNrD).0vals r4 z*TruetypeFonts._get_info..s!As#(!Ar) rr:r9rlrorprmrwr)rVrWrrkrXrYrxrZ)rset_sizeget_char_index load_glyphrbboxrrlinearHoriAdvancer:r9 horiBearingYrr)rPrrrrWrrVrXrrYrxrlrprormrZrks r4rzTruetypeFonts._get_infos!__Xz3Gc7 h$))#.  43H3HI!Aejj!AdD$!!$x=++e3<<"$++"&&+f4   00#  rEc|j}|j|j|z|zdz S|j|tjdd||}|j |j zdz S)Nrmathtext.default−rh)r axis_heightrmplrcParamsrmrprPrrWrconstsrks r4rzTruetypeFonts.get_axis_heightsx((*    )%%036; ;&&#,,'9:HhPSUGLL7<</14 4rEc|j}|j|j|z|zdz S|j|tjdd||}|j S)Nrrm)rquadrrrrrs r4rzTruetypeFonts.get_quadse((* ;; ";;)C/"4 4&&#,,'9:C3PG?? "rEc|j}|j|j|z|zdz S|j|tjdd||}|j S)Nrrrz)rx_heightrrrrwrs r4rzTruetypeFonts.get_xheightse((* ?? &??X-3b8 8&&#,,'9:C3PG?? "rEcd|z|zdz S)Ng?rrDrs r4rz%TruetypeFonts.get_underline_thicknesssh&,22rEc "||k(rs||k(rn|j||||| } |j||||| } | j} | j| j| jtj dz St |||||||||| S)Nr)rrV get_kerningrYr%DEFAULTrr)rPrrrrrrrrrinfo1info2rVrs r4rzTruetypeFonts.get_kerns E>i94NN5*dIsKENN5*dIsKE::D##E$5$5u7H7H$+OO579: :wz4 %z4CI IrErr) rVr$rxr)rWr8rr8rr8rrrrrrrz'tuple[FT2Font, CharacterCodeType, bool]) rrrrrrrWr8rr8rr)rrrWr8rr8rr8rr)r?r@rArBrQrrrrrrrrr __classcell__rs@r4rr]s .,#( "" G"   !) B 5# #3 I I), I47 IDI I I % I IrEr) metaclassc eZdZdZdddddddd d Zd=fd Zed jZ d>d Z dZ iddge Dcgc] }dd|df c}}ddge Dcgc] }dd|df c}}de Dcgc] }dd|df c}}de Dcgc] }dd|df c}}ddge Dcgc] }dd|df c}}ddge Dcgc] }dd |df c}}d!d"ge Dcgc] }dd#|df c}}d$d%ge Dcgc] }dd&|df c}}d'e Dcgc] }dd(|df c}}d)e Dcgc] }dd*|df c}}d+e Dcgc] }dd,|df c}}d-e Dcgc] }dd.|df c}}d/e Dcgc] }dd0|df c}}d1e Dcgc] }dd2|df c}}d3d4ge Dcgc] }dd5|df c}}d6gd7d8gd9Z d:D] \Z Z e e e e < d?d;Zd@d<ZxZScc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}wcc}}w)A 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. cmmi10cmsy10cmr10cmtt10cmti10cmb10cmss10cmex10)normalcalrmttitbfsfexct|||_t| |||jj D].\}}t |}||j|<||j|<0yrN) StixFonts_stix_fallbackrrQ_fontmapitemsr"r)rPrrkeyrfullpathrs r4rQzBakomaFonts.__init__sj'(9;KL *,<= ++- )HC}H (DLL  (DLL  )rE \int \ointcd}||jvr:|tvr2t|\}}|dvxs||jv}|j|}nIt |dk(r;|dv}|dk(r|j rd}d}|j|}| t |}||jdk7r||fS|jj|||S)N)rrr)rrrrFr) rr_slanted_symbolsrlenisdigitr-rr"r)rPrrrrVrrXrs r4rzBakomaFonts._get_glyphs t|| #(>+C0MHc#77XC4CXCX>(+D X]#33G8#  >>(+D#h   3 3C 8A =g% %&&11(JL LrE)bigBigbiggBigg()rr0rz \__parenleft__))rr2z \__parenright{z \__braceleft}z \__braceright[)rr5z\__bracketleft])rr6z\__bracketright<)rz\__angbracketleft__z\__angbracketleft>)rz\__angbracketright__z\__angbracketrightz\lfloorz \__floorleftz\rfloorz \__floorrightz\lceilz\__ceilingleftz\rceilz\__ceilingright \__sqrt__z \__radicalz \backslashz \__backslash/)rr:z\__slashz\widehat))r^)rz \__hatwide__)rz \__hatwider__)rz\__hatwidest__z \widetilde))r~)rz\__tildewide__)rz\__tildewider__)rz\__tildewidest__) )z \leftparenr0)z \rightparenr2)z \leftbracer3)z \rightbracer4)z \leftbracketr5)z \rightbracketr6)z\langler7)z\rangler8)\{r3)\}r4)\[r5)\]r6c@|jj|||fgSrN)_size_alternativesrrs r4rz-BakomaFonts.get_sized_alternatives_for_symbol0s"&&**3(C0ABBrEctSrN)ComputerModernFontConstantsrs r4rzBakomaFonts.get_font_constants4s**rErr rr)r?r@rArBr#rQsetsplitr)r _latex_sizesrBaliastargetrrr )rsrs00@r4rrsp H)=..01MM GM42L k RLQqd|A3b$9:Q R k S\Rd}QCr$:;R S \ Bt QCr*+ B l Ct aS+, C  k TlSd~aS$;<S T  k U|T!dqc$<=T U  -K5! ?C/2C7LC+GRR B CSTIJIJJKILNsZG3 G9 8G? H ,H H $H H H# 3H) H/ %H5 >H; I 2I rceZdZUdZdddZded<d fd ZedjZ d d Z dd Z dd Z xZ S) UnicodeFontsa` An abstract base class for handling Unicode fonts. While some reasonably complete Unicode fonts (such as DejaVu) may work in some situations, the only Unicode font I'm aware of with a complete set of math symbols is STIX. This class will "fallback" on the Bakoma fonts when a required symbol cannot be found in the font. )i"z*dict[CharacterCodeType, CharacterCodeType]_cmr10_substitutionscPtjd}tttdj |}|r |||nd|_t |!||djD]2}tjd|z}t|}||j|<4td}t|}||jd<t|j trKddd d d d d }|jD].\} } t| } | |j| <| |j| <0yy)Nzmathtext.fallback)stixstixsanscmzcal rm tt it bf sf bfitz mathtext.rr STIXGeneralSTIXSizeOneSymSTIXSizeTwoSymSTIXSizeThreeSymSTIXSizeFourSymSTIXSizeFiveSym)012345)rrr! StixSansFontsrr_fallback_fontrrQrFr"rr! isinstancer$) rPrr fallback_rcfont_clstexfontproprVstixsizedaltfontssizenamer&rs r4rQzUnicodeFonts.__init__Ls;ll#67 %0  #k   #+ ((9;KL04  *,<=0668 )G<< g 56DD>D$(DLL ! )h'~! T d))9 5"%%'&& ! 0557 . d#D>%- T"%- T" . 6rEr'c ||fSrNrD)rPrruniindexs r4_map_virtual_fontzUnicodeFonts._map_virtual_fontrs !!rEc^ t|}d}|j |||\}}|}|r|dk(rT|dkrOt |}tj|ddk7s$tj|jd rd }nd }|d k(xs||jv}d}|j|} | b||jvr<| jd k(r-tt!j"d } |j|}| j%|} | dk7rd}|s|j&r|dvrt)|j&t*rd }|j&j-|||} | dj} | t.j0j3vrd} tj5d|| | S|dvr#t)|t*r|j-d ||Stj d||||jd } d}d} |fS#t$r'td}d}tj d|YwxYw)NT?Fz!No TeX to Unicode mapping for %a.rrrLz GREEK CAPITALrrrzfonts/ttf/cmsy10.ttf)rrrzComputer ModernzSubstituting symbol %s from %szNFont %r does not have a glyph for %a [U+%x], substituting with a dummy symbol.)r5r1r-_logwarningrmchr unicodedatacategoryrj startswithr)rrP family_namer#r_get_data_pathrrbrcr!rrr#valuesr^) rPrrrrl found_symbol new_fontnamecharrrV glyphindexgfamilys r4rzUnicodeFonts._get_glyphvsB C(-HL "33Hj(S(  8#7(:8}((.q1S8&++D1<<_M#'L#'L#t+Lt7L7L0LG L>>,/D 9 99 ,,7#,,-CDFD#88BH!00: ?#'L"" ;;&t':':IF#H''228ZM1))[1188::.F :CH ;;&tY7??4SAA A)3:~~d+Xw&&u C3xH L LL>$'D!00: ? 7-dJDD7%h C@ @rErr )r?r@rAr#rCrQrr r s@r4rrs0!Hn!**AA GAArErc .eZdZdZddddddddd Zd d Zy ) rzv A font handling class for the DejaVu Serif fonts If a glyph is not found it will fallback to Stix Serif z DejaVu SerifzDejaVu Serif:italiczDejaVu Serif:weight=boldzDejaVu Serif:italic:bold DejaVu SansDejaVu Sans MonozDejaVu Serif Displayrrrbfitrrrr[ctSrN)DejaVuSerifFontConstantsrs r4rz#DejaVuSerifFonts.get_font_constantss''rENrr?r@rArBr#rrDrEr4rrs- #(* $  H(rErc .eZdZdZdddddddddZd d Zy ) 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 DisplayrctSrN)DejaVuSansFontConstantsrs r4rz"DejaVuSansFonts.get_font_constants s&&rENrrrDrEr4rrs- "') #  H'rErceZdZdZddddddddd d d d d d ZdZdZddZ ddZe j ddZ ddZ y)r!aa 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. rUzSTIXGeneral:italiczSTIXGeneral:weight=boldzSTIXGeneral:italic:boldSTIXNonUnicodezSTIXNonUnicode:italiczSTIXNonUnicode:weight=boldrVrWrXrYrZ) rrrrnonunirmnonuniitnonunibfr[r\r]r^r_r`NFctj||||jjD].\}}t |}||j |<||j |<0yrN)rrQr#r$r"rrs r4rQzStixFonts.__init__/s[t%68HI,,. *IC~H (DLL !)DLL  *rEcZtj|}|jr||dvr td}d}nd}t|tr ||}nt|t r|}nd}|}d}t|}||kr,||zdz} || } || dkr| }n|| dkrn | dz}||kr, d|cxkr| dkrnn|| dz | d z}| d}n|sd}tjd }|d vrtj||}|d vrd |cxkrdkr n||fSd|z}||fS#t $r|d}YwxYw)N)rrrTFrrrhrrr)rrr)rrrriinonuni) rr_sansrcdictr0listr*rrr) rPrrrl font_mappingdoing_sans_conversionmappinglohimidranges r4rmzStixFonts._map_virtual_font6s*--h7 JJ</$::-d3L$( !$) ! lD ) -&z2 d +"GG  BWBr'"uqj eAh&Bq)qBr'Qx8/uQx/#eAh.q9 8*<<(:; - -'++Hh?H 1 1f6RF6R!! (*H!!K -&t, -sDD*)D*cJddddddd}|j||} t|}tdDcgc]D}|j t |j |d k7rt |t|fF}}|d k(r|dd }|S#t$r||fgcYSwxYwcc}w) Nr3r4r5r6u⟨u⟩)r=r>r?r@r7r8rr9)rr5r1rrrrrt)rPrrfixesrli alternativess r4rz+StixFonts.get_sized_alternatives_for_symbollss3s67  iiS! %(-H:?qQA>>#a&1@@JaOQX/Q Q , ',L %sO$ $ %Qs B A B  BBc2|jrtStSrN)rSTIXSansFontConstantsSTIXFontConstantsrs r4rzStixFonts.get_font_constantss ::( ($ $rErrrr) r?r@rArBr#rbrrQrmrrrrrDrEr4r!r!s "')$+0      HN E*4"$54":W4"l__/27L(%rEr!ceZdZdZdZy)razd A font handling class for the STIX fonts (that uses sans-serif characters by default). TN)r?r@rArBrrDrEr4raras ErEraffffff?rceZdZUdZdZded<dZded<dZded<dZded <d Z ded <d Z ded <dZ ded<dZ ded<dZ ded<dZded<dZded<dZded<dZded<dZded<dZded<dZded <dZded!<y)"rz 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?supdropsubdroprsup1333333?sub1?sub2g?delta皙? delta_slanted皙?delta_integralgffffff?num1g?num2g?num3denom1g?denom2NzT.ClassVar[float | None]rrr)r?r@rArBrrCrrrrrrrrrrrrrrrrrDrEr4rrs '+L#*"%G $"%G $"D !"D !"D ! %E $ (+M$*),N%+"D !"D !"D !!$F #!$F #-1K)0&*D ")*.H&-rErceZdZdZdZdZdZdZdez Zdez Z dez Z dez Z dez Z d ez Z d ez Zd ez Zd ez Zd ez ZdZdZedz Zy)rDg?rii-ii5iffii iLii ix?g?iN)r?r@rArrrr _x_heightrrrrrrrrrrrrrrDrEr4rDrDs "L EMNIy GiG I D I D I D I D I D I D i F i F!K D5 HrErDceZdZdZdZdZdZdZedz Zdez Z dez Z dez Z d ez Z d ez Z d ez Zd ez Zd ez Zdez Zdez ZdZdZy)rrrriiigǺI@ii5iiiiiwr?N)r?r@rArrrrrrrrrrrrrrrrrrrDrEr4rrsL EMNI4HIoG !G ?D ?D ?D ?D ?D ?D 9_F 9_FK DrErceZdZdZdZdZy)rr333333?rN)r?r@rArrrrDrEr4rr+sLMNrErceZdZdZedz Zdez Zdez Zdez Zdez Zdez Z dez Z d ez Z d ez Z d ez Z d ez Zd Zy)ri'K7@皙Y@;On@w/3s@-ƃ@= ףp@A`"@tV@\(1@rNr?r@rArrrrrrrrrrrrrrDrEr4rr1}I4H !GiG Y D Y D Y D Y D Y D Y D y F 9_FKrErceZdZdZedz Zdez Zdez Zdez Zdez Zdez Z dez Z d ez Z d ez Z d ez Z d ez Zd Zy)ri`rrrrrrrrrrrrNrrDrEr4rrFrrErc@eZdZdZd dZd dZd dZd dZd dZd dZ y)NodezA node in the TeX box model.cd|_yNrrirs r4rQz Node.__init__^s  rEc,t|jSrN)typer?rs r4__repr__z Node.__repr__asDz"""rEcyNrrD)rPnexts r4rzNode.get_kerningdsrEc.|xjdz c_y)z Shrinks one level smaller. There are only three levels of sizes, after which things will no longer get smaller. rNrrs r4shrinkz Node.shrinkgs Q rEcy)zRender this node.NrDrPrrzr{s r4renderz Node.rendernsrEcy)NTrDrs r4 is_char_nodezNode.is_char_nodeqsrENrrrrrz Node | Nonerr8rrLrzr8r{r8rrrr) r?r@rArBrQrrrrrrDrEr4rr[s#&# rErcLeZdZdZdfd Zdfd Z ddZxZS)rz A node with a physical location.cLt|||_||_||_yrN)rrQr9r:r;)rPr9r:r;rs r4rQz Box.__init__~s#    rEct||jtkrL|xjt zc_|xj t zc_|xjt zc_yyrN)rrriNUM_SIZE_LEVELSr9 SHRINK_FACTORr:r;rPrs r4rz Box.shrinksH  99 & JJ= (J KK= (K JJ= (J 'rEcyrNrD)rPrr~y1ry2s r4rz Box.renders rE)r9r8r:r8r;r8rrr) rrLr~r8rr8rr8rr8rr)r?r@rArBrQrrr r s@r4rr{s=* )  # ). 49 >B rErc$eZdZdZdfd ZxZS)Vboxz$A box with only height (zero width).c(t|d||yrrrQ)rPr:r;rs r4rQz Vbox.__init__s VU+rE)r:r8r;r8r?r@rArBrQr r s@r4rrs.,,rErc$eZdZdZdfd ZxZS)Hboxz.A box with only width (zero height and depth).c(t||ddyrrrPr9rs r4rQz Hbox.__init__s B'rEr9r8rr s@r4rrs8((rErcXeZdZdZd fd Zd dZd dZd dZd dZddZ d fd Z xZ S)Chara A single character. Unlike TeX, the font information and metrics are stored with each `Char` to make it easier to lookup the font metrics when needed. Note that TeX boxes have a width, height, and depth, unlike Type1 and TrueType which use a full bounding box and an advance in the x-direction. The metrics must be converted to the TeX model, and the advance (if different from width) must be converted into a `Kern` node when the `Char` is added to its parent `Hlist`. ct|||_|j|_|j|_|j |_|j |_|j|_|jyrN) rrQcfontsetrVrrWr_update_metrics)rPr staters r4rQz Char.__init__s\ }} JJ ** 99 rEc d|jzS)Nz`%s`r rs r4rz Char.__repr__srEcx|jj|j|j|j|j |j x}|_|jdk(r|j|_ n|j|_ |j|_ |j|jz |_ y)N ) rrrVrr rWr_metricsrr9rwr:r;rPrks r4rzChar._update_metricss"&,,":": IIt txx#I I$- 66S= DJ DJoo 78 rEc.|jjSrN)rrrs r4 is_slantedzChar.is_slanteds}}$$$rEc p|jj|jz }d}t|tr}|j j |j|j|j|j|j|j|j|j|j }||zS)z Return the amount of kerning between this and the given character. This method is called when characters are strung together into `Hlist` to create `Kern` nodes. r) rrr9rcr rrrVrr rWr)rPrrkerns r4rzChar.get_kernings--''$**4 dD !<<(( 4??DFFDMM 4??DFFDMMD~rEc |jj||||j|j|j|j |j yrN)rrrVrr rWrrs r4rz Char.renders; !! Aq IIt txx IrEct||jtkre|xjt zc_|xj t zc_|xjt zc_|xjt zc_yyrN) rrrirrWrr9r:r;rs r4rz Char.shrinksV  99 & MM] *M JJ] *J KK] *K JJ] *J 'rE)r rr ParserStaterrrrr) r?r@rArBrQrrrrrrr r s@r4r r s1  9% I ++rEr c4eZdZdZddZdfd ZddZxZS)Accentz The font metrics need to be dealt with differently for accents, since they are already offset correctly from the baseline in TrueType fonts. c:|jj|j|j|j|j |j x}|_|j|jz |_ |j|jz |_ d|_yr)rrrVrr rWrrrorlr9rmrpr:r;rs r4rzAccent._update_metricsso"&,,":": IIt txx#I I$-\\GLL0 llW\\1  rEcBt||jyrN)rrrrs r4rz Accent.shrinks  rEc |jj|||jjz ||jjz|j |j |j|j|jyrN) rrrrlrprVrr rWrrs r4rz Accent.rendersY !! A ***A 0B0B,B IIt txx IrErr)r?r@rArBrrrr r s@r4rrs IrErcLeZdZdZdfd Zdfd Z ddZd fd ZxZS) Listz0A list of nodes (either horizontal or vertical).crt|dddd|_g||_d|_d|_d|_y)Nrr)rrQ shift_amountchildrenglue_set glue_sign glue_orderrPelementsrs r4rQz List.__init__s< R$#(   rEcJdjt| |j|j|j |j |jrMdtjdjtdj|jdzdzSdS)Nz/{}[{}] z{!r},z ) formatrrr9r:r;r&r'textwrapindentjoinrSrs r4rz List.__repr__s@GG G   JJ JJ))}} 8?? #gnndmm<=     #%  rEcRtfdttdddDdx|_}||_|dk7r||z |_nd|_d|_|dk(rBt|jr,tjd|t|j|yyy)Nc34K|]}|dk7s |yw)rNrD)rrtotalss r4rz!List._set_glue..s C1F1INQ Cs rrrz %s %s: %r) rrr*r*r)r( glue_ratior'rrrsrr?)rPrzsignr6 error_typeos ` r4 _set_gluezList._set_glues" Cc&k*4R40 CQH H! !9?q MDMDN DO 64==! ['d)<)z$Hlist.is_char_node..:sD$5$5$7rE)allrSr'rs r4rzHlist.is_char_node8s37GHHrEcg}tj|j|jddD]I\}}|j||j |}|dk7s.t |}|j|K||_y)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) itertools zip_longestr'rrKern)rP new_childrenelem0elem1kerning_distancers r4rz Hlist.kern<s %11$--qrARS *LE5    &$007 2%,-##D)  * % rEcd}d}d}dgdz}dgdz}|jD]~}t|tr<||jz }t ||j }t ||j }Pt|tr||jz }tj|j rtj|j rt|dd} t ||j | z }t ||j | z}t|tr_|j} || jz }|| jxx| jz cc<|| jxx| j z cc<^t|t"sp||jz }||_||_|dk(r||z }||_||z }|dk(rd|_d|_d|_y|dkDr|j+|d|dy|j+|d |d y) a Compute the dimensions of the resulting boxes, and adjust the glue if one of those dimensions is pre-specified. The computed sizes normally enclose all of the material inside the new box; but some items may stick out if negative glue is used, if the box is overfull, or if a ``\vbox`` includes other boxes that have been shifted left. Parameters ---------- w : float, default: 0 A width. m : {'exactly', 'additional'}, default: 'additional' Whether to produce a box whose width is 'exactly' *w*; or a box with the natural width of the contents, plus *w* ('additional'). Notes ----- The defaults produce a box with the natural width of the contents. rr& additionalrNrOverfulrUnderful)r'rcr r9rnr:r;rrTisinfgetattrGlue glue_spec stretch_orderstretch shrink_orderrrMr)r*r7r;) rPr[rr\r]rz total_stretch total_shrinkprJrZs r4rBz Hlist.hpackMs0   q tax  A!T"QWW 188$177OAs#QWW xx)"((1772C>26AAqxx!|,AAqww{+AAt$KK Y__$i556):K:KK6Y334 8H8HH4At$QWW # $   FA E 7DNDO DO  r6 NN1a : NN1b, ;rE)rrTT)r,r>r[r8r"T.Literal['additional', 'exactly']rDrrrrrT)r[r8rrarr) r?r@rArBrQrrrBr r s@r4r@r@,sL%>A9E!% 6  I%" #6B?<3?26AAqww{+AAt$QKK Y__$i556):K:KK6Y334 8H8HH4At$Q[ At$"GII% I* q5 QJADJDJ  FA E 6DNDO DO  r6 NN1a : NN1b, ;rErb)r,r>r\r8rrar)r\r8rrarkr8rr) r?r@rArBrQrrTinfrfr r s@r4rdrdsN#>A9E6  #6BG<3G<G<$(G@rErnc&eZdZdZddfd ZxZS)Hrulez.Convenience class to create a horizontal rule.cx||j}|dzx}}t| tj|||y)Nrget_current_underline_thicknessrrQrTrl)rPr thicknessr:r;rs r4rQzHrule.__init__s<  ==?I"S( 6rErN)rrrv float | Nonerr s@r4rrrrs877rErrc$eZdZdZdfd ZxZS)Vrulez,Convenience class to create a vertical rule.c|j}t| |tjtj|yrNrt)rPrrvrs r4rQzVrule.__init__s,99;  BFFBFFE:rE)rrrr s@r4ryrys6;;rEryc@eZdZUded<ded<ded<ded<ded<y) _GlueSpecr8r9r\rvr[rr]NrrDrEr4r|r| s L N MrEr|rrrhrg)filfillfilllneg_filneg_fill neg_filllemptyssc4eZdZdZ dfd Zdfd ZxZS)rYa Most of the information in this object is stored in the underlying ``_GlueSpec`` class, which is shared between multiple glue objects. (This is a memory optimization which probably doesn't matter anymore, but it's easier to stick to what TeX does.) ct|t|trtj |}||_yt|tr |}||_yt d)Nz.glue_type must be a glue spec name or instance)rrQrcrr|_namedr1rZ)rP glue_typerZrs r4rQz Glue.__init__'s[  i %!((3I #  9 -!I#MN NrEct||jtkr5|j}|j |j tz|_yy)Nr9)rrrirrZ_replacer9r)rPrrs r4rz Glue.shrink4sB  99 &AZZagg .EZFDN 'rE)rz`_GlueSpec | T.Literal['fil', 'fill', 'filll', 'neg_fil', 'neg_fill', 'neg_filll', 'empty', 'ss']r)r?r@rArBrQrr r s@r4rYrYs$ #A #GGrErYc$eZdZdZdfd ZxZS) HCenteredzl A convenience class to create an `Hlist` whose contents are centered within its enclosing box. cVt|tdg|tddy)NrFrDrrQrYr+s r4rQzHCentered.__init__As* $t*>rErc@eZdZdZdZdZdfd ZddZdfd ZxZ S) rMa A `Kern` node has a width field to specify a (normally negative) amount of spacing. This spacing correction appears in horizontal lists between letters like A and V when the font designer said that it looks better to move them closer together or further apart. A kern node can also appear in a vertical list, when its *width* denotes additional spacing in the vertical direction. rc0t|||_yrN)rrQr9rs r4rQz Kern.__init__]s  rEc d|jzS)Nzk%.02frrs r4rz Kern.__repr__as$**$$rEc|t||jtkr|xjt zc_yyrN)rrrirr9rrs r4rz Kern.shrinkds,  99 & JJ- 'J 'rEr rr) r?r@rArBr:r;rQrrr r s@r4rMrMOs(F E%((rErMc*eZdZdZ d dfd ZxZS)AutoHeightChara A character as close to the given height and depth as possible. When using a font with multiple height versions of some characters (such as the BaKoMa fonts), the correct glyph will be selected, otherwise this will always just return a scaled version of the glyph. c||jj|j|}|jj|j|j|j }|j }||z}|D]<\} } | |_t| |} | j| jz|d|zz k\s<nd} |jdk7st|dk(rN|| j| jzz }|xj|zc_t |} || jz } t |1 g| |_ y)Nrrr[r)rrrVrrWrcopyr r:r;r*rrQr&)rPr r:r;rfactorrr target_totalrrr}shiftrs r4rQzAutoHeightChar.__init__ss}}FFuzzSTU ==,,UZZS ~ ) MHc!EJU#D{{TZZ'<#.+HH   :: L 1Q 6~%tzz)AB NNf $NU#DTZZ'E $ !rErN) r rr:r8r;r8rrrrwrr s@r4rrjs)-"%""rErc*eZdZdZef dfd ZxZS) AutoWidthChara A character as close to the given width as possible. When using a font with multiple width versions of some characters (such as the BaKoMa fonts), the correct glyph will be selected, otherwise this will always just return a scaled version of the glyph. cd|jj|j|}|j}|D]&\}}||_|||}|j|k\s&n|jz } |xj | zc_||}t ||g|j|_yrN)rrrVrr9rWrrQ) rPr r9r char_classrrrr}rrs r4rQzAutoWidthChar.__init__s}}FFuzzSTU  ) MHc!EJc5)DzzU"   # & #u% $ ZZ rE)r rr9r8rrrz type[Char])r?r@rArBr rQr r s@r4rrs+/ '  rErc  |\}}dd|||jz t| g fd ddd f d d f d t|tsJ| S) a Ship out *box* at offset *xy*, converting it to an `Output`. Since boxes can be inside of boxes inside of boxes, the main work of `ship` is done by two mutually recursive routines, `hlist_out` and `vlist_out`, which traverse the `Hlist` nodes and `Vlist` nodes inside of horizontal and vertical boxes. The global variables used in TeX to store state as it processes have become local variables here. rc<ts|j|yyrN)anyr)rGargsphantoms r4rzship..renders7| DKK rEc"|dkrdS|dkDrdS|S)NgegeArD)values r4clampzship..clampst|tHH5HrEc B d}d}|j}|j}}}j|j|jD]C}t |t r!|zz|jz 5t |tr|jz Ut |trt|jdk(r|jz }||jzt |tr |n t |tr |nJd||jz|t |tr|j} |j } |j} t#j$| r |j} t#j$| r |j } | dkDr| dkDr|| z|zz| | || z t |t&s|j(} | j|z } |dk7r~|dk(r=| j*|k(rj|| j,z }t/ |j0|z}n<| j2|k(r-|| j4z }t/ |j0|z}| |z } | z Fj7y)Nrrunreachable coder)r*r)rrCr'rcr r9rMr$r*r&r@rdrr:r;rTrWrYrZr[r\roundr(r]rpop)rOcur_gcur_gluer*r) base_line left_edger`edge rule_height rule_depth rule_widthrZrcur_hcur_v hlist_outoff_hoff_vrrr vlist_outs r4rzship..hlist_outs_^^ MM   s~~&3 $A!T"q&%%-? At$ At$qzz?a'QWW$E D%6E!!U+!! #Au-!! 8&88u 177NE%EAs#hh WW WW 88K("%**K88J'!$J?zA~% 2E1f 5=%%-%{4&E#At$KK &__u4 > A~$22j@$ (9(99H$)% x0G*H$IE"//:= I$4$44 %eCLL8,C&D Ee# #g3 $j  rEc  d}d}|j}|j}}|jz}|jD];}t |t r|j z $t |trt|jdk(r|j|jzz i|jz ||jz}|j |_t |tr |n t |tr |nJd||jz|t |trr|j} |j} |j } tj| r |j } | | z } | dkDsF| dkDsM| z |zz| | gt |t r|j"} | j |z } |dk7r~|dk(r=| j$|k(rj|| j&z }t) |j*|z}n<| j,|k(r-|| j.z }t) |j*|z}| |z } | z !t |t0s3t3dy)Nrrrrz1Internal mathtext error: Char node found in vlist)r*r)r:r'rcrMr9r$r*r;r&r@rdrrTrWrYrZr[r\rr(r]rr rj)rOrrr*r)rtop_edger`save_vrrrrZrrrrrrrrrs r4rzship..vlist_outsJ^^ MM   . IA!T" At$qzz?a'QXX//EQXX%E%6E"F!iiAG!!U+!! #Au-!! 8&88u"QWW,E%EAs#hh WW WW 88J'!$Jz) ?zA~[(E1f 5=%%-%{4At$KK 'oo5 > A~$22j@$ (9(99H$)% x0G*H$IE"//:= I$4$44 %eCLL8,C&D Eu$ $At$"GII[. IrE)rr8rr8)rOr@rr)rOrdrr)r:rLrcr@)rOxyrHrIrrrrrrrrrrs @@@@@@@@@@r4rtrts|FB E E E OE C[FGIAAF9I9Iv c5 !! ! cN MrEcBdfd }tj|S)z$Helper class to raise parser errors.ct||rNr)rJloctoksmsgs r4 raise_errorzError..raise_errorNs!!S#..rErJrrrvrrrT.Any)rset_parse_action)rrs` r4ErrorrLs/ 7 # #K 00rEcDeZdZdZdddddZd fd Z d d dZxZS) _BracedTexta Match a brace-delimited literal string, allowing nested braces. This is similar to ``QuotedString("{", "\\", end_quote_char="}")``, except that brace depth is tracked, so that the string does not end at the first ``}``. As in TeX, nested unescaped braces only group, and are not rendered; a literal brace is written as ``\{`` or ``\}``. A backslash escapes the following character, which therefore does not affect depth.  r.  )tnfrc>t|d|_d|_y)NTF)rrQmayReturnEmpty mayIndexErrorrs r4rQz_BracedText.__init__as ""rEc|t|k\s||dk7rt||d|g}d}|t|kr||}|dk(rJ|dzt|kr9||dz}|j|jj |||dz }b|dz }|dk(r|dz }r|dk(r|dz}|dk(r|dj |fS|j||t|krt||d |) Nr3z Expected '{'rr,rrhr4r/ Expected '}')r*rr_escapesrr3)rPinstringr do_actionscharsr;r}escapeds r4 parseImplz_BracedText.parseImplfs  #h- 8C=C#7 3E ECM!C=Dt|a#h- 7"37+ T]]..w@Aq 1HCs{  A:.. LL !CM!"XsNDAArEr)T)rrrrvrrrztuple[int, str])r?r@rArBrrQrr r s@r4rrTs:4d;H# &*B"B.=BrErcdeZdZdZ ddZd dZed dZejd dZd dZ y) ra Parser state. States are pushed and popped from a stack as necessary, and the "current" state is always at the top of the stack. Upon entering and leaving a group { } or math/non-math, the stack is pushed and popped accordingly. cJ||_||_||_||_||_yrN)r_fontrrWr)rPrrVrrWrs r4rQzParserState.__init__s%  $  rEc,tj|SrN)rrs r4rzParserState.copysyyrEc|jSrN)rrs r4rVzParserState.fonts zzrEc(|dvr||_||_y)N)rrrrr)rr)rPrjs r4rVzParserState.fonts 7 7"DO rEcx|jj|j|j|jS)z.Return the underline thickness for this state.)rrrVrWrrs r4ruz+ParserState.get_current_underline_thicknesss,||33 IIt}}dhh0 0rEN) rrrVrrrrWr8rr8rrr)rjrrr)rr8) r?r@rArBrQrpropertyrVsetterrurDrEr4rrsJ [[ 0rErcdfd |jddd}||k(r!|djd|Dzn|}||td|zz S) a Helper to define TeX commands. ``cmd("\cmd", args)`` is equivalent to ``"\cmd" - (args | Error("Expected \cmd{arg}{...}"))`` where the names in the error message are taken from element names in *args*. If *expr* already includes arguments (e.g. "\cmd{arg}{...}"), then they are stripped when constructing the parse element, but kept (and *expr* is used as is) in the error message. c3Kt|tr"|jD]}|Ed{y|jr|jyy7#wrN)rcrexprs resultsName)eltexprnamess r4rzcmd..namessL c? +  ' ;&& ' __// !'s+AA$Ar3rrr/c3&K|] }d|z yw)z{%s}NrD)rrjs r4rzcmd..sBdFTMBrz Expected )rrrzT.Generator[str, None, None])rFr3r)rrcsnamer3rs @r4cmdrsg"ZZQ  "Ffn BGGBeDkBB B"& TEIcU"344 55rEc eZdZdZGddej ZedjZ edjZ edjZ e e ze zZ edjZ edjZed jZed jZed jZed jZed jZedjZedjZeezezZeeededdzDcgc]?}t3j4t7|jdj9Ac}}}}Zeej>Z djdZ!dkdZ"dldZ#djdZ$djdZ%dmdZ&dndZ'dodZ(dodZ)e*e+jXZ-dodZ.dpdZ/dddd d d!d"d"d#dd$d%d& Z0dod'Z1dod(Z2 dqd)Z3drd*Z4dod+Z5dod,Z6dod-Z7id.d/d0d1d2d3d4d5d6d7d8d9d:d;dd?d@dAdBdCdDd=dEd5dFd7dGd9dHd;dId/dJdKdLdMZ8edNjZ9dodOZ:drdPZ;drdQZdodTZ?e?Z@dsdUZAdrdVZBdodWZCdtdXZDdtdYZEdtdZZFdrfd[ ZG dud\ZHdod]ZIdod^ZJdod_ZKdod`ZLdodaZMdrdbZNeNxZOZPdodcZQdoddZRdodeZS dvdfZTdodgZUdodhZVdodiZWxZXScc}}}}w)wParserz A pyparsing-based parser for strings containing math expressions. Raw text may also appear outside of pairs of ``$``. The grammar is based directly on that in TeX, though it cuts a few corners. ceZdZdZdZdZdZy)Parser._MathStylerrrhrN)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 \iiiintz:rm cal it tt sf bf bfit default bb frak scr regular normalz 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 uαuωrrctjdFfd }dGd}td_t j d_t jDcgc]}t|jc}d_ tddjd jttjt zd j#_td d _|d j(_t-dt j(d zdz_t1d_t j4_t9_t9_t9_t9_ t9_!t9_"xj>j<zc_|xjBdtGjDdzdzzc_!xj@dtIjDdzdzzc_ tKddjdzdz_&tKdjCd_'tKdjCd_(tKdjCd_)|dgjTjVj?d z _,|d jZ_.j.tGjDdzj2z_/j.tGjDdztaz_1tKdjAdjAdz_2tKdjAdjAdz_3tKdjAdjAdz_4tKddt-j6dzdzdzt-j6dzdzdzjdzdzdzt-jd zdzjAdzjAdz_5tKd!t-d"tItmd#jDzd$zd#zjAdz_7tKd%jAd&_8tKd'jAd&_9tKd(jCd)jCd&z_:tKd*jCd)jCd&z_;tKd+ty_=tKd,t}ddttIjDtGt1d-jz.d/_At-j<d0tIt d1d2gj<z d3ztd4d5ztd6d5zj?d0td4d5zz_Bj jLzj*zjz_CxjDjj:zjbzj&zzc_"tKd7dtGjd zdz_DtKd8dtGjdzdz_Exj<jNjPzjRzjXzj$zj\zjzj^zjdzjfzjhzjjzjtzjvzjnzjpzjrzjzzjzjzj:zzc_d9j7d:td;zz }xj:d<j7d=td;zz tGjj:z|zd>zd?zj7d@td;zz zc_tIjD_GtdAdBdCD_ItdEj#_JjtGjjzztaz_K|j_Lj_MdC_Nycc}w)HNctjD]T\}}|jdr|dvr|j|t |s:|j t |Vy)N_)token placeable auto_delim)varsr$rwset_namehasattrrrX)r%rr`rPs r4set_names_and_parse_actionsz4Parser.__init__..set_names_and_parse_actionsbsd GMMO AS~~c*"FF S)tS),,WT3-?@ ArEgroupc dg}g}|D]8}|djr|j|(|j|:tdj|dj t t j||rdnddj t t j|S)Nrz<\\(?P<{group}>(?:{alpha})(?![A-Za-z]){additional}{nonalpha})|r/)ralpharTnonalpha)isalpharrr0r3rSreescape)rrends_with_alphaends_with_nonalpharjs r4csnamesz Parser.__init__..csnamesqs O!#  48##%#**40&--d3  4 OVV((3ryy/#BC&8sb XXc"))5G&HI W rEz[-+]?([0-9]+\.?[0-9]*|\.[0-9]+)space style_literalzI[a-zA-Z0-9 +\-*/<>=:,.;!\?&'@()\[\]|\U00000080-\U0001ffff]|\\[%${}\[\]_|]z|\\(?:{})(?![A-Za-z])r rz \\[A-Za-z]+rjrVz\mathr3r4z\hspacez\phantomrz\llapz\rlapaccentz\fracrXdenz\dfracz\binomz\genfracldelimrdelimrulesizestylez \sqrt{value}r5r6rootz \overlinebodyz \underlinez\overset annotationz \undersetz\textz \substackz\\)openerclosercontentpartsnucleusrr;subsuperz'* apostrophesz'+z \operatornamez \boldsymbol\middlemdelimzExpected a delimiterz\leftleftrz\rightright$r,F)unquote_resultsz(?:(?:\\[$])|[^$])*r)rrrz Iterable[str]rr)OtypesSimpleNamespacer float_literalr _space_widthsrrrrrr0r3rSrrr leave_whitespacer2unknown_symbol _fontnamesrVr start_groupr end_group_delimsdelimrrrnamed_placeablerequired_groupoptional_grouprrr r customspacerllaprlap _accent_map _wide_accentsr_function_namesfunctionrrunclosed_groupfracdfracbinomgenfracr sqrtoverline underlineoversetundersetrtextrr suppresssubstackr#simple operatorname boldsymbolrrrr math_stringnon_mathmain _expression_math_expression_needs_space_after_subsuper)rPrrer&r`s` @r4rQzParser.__init___s*  ! ! # A "!!CD56$"4"45g>56#'?? 3aS\ 355DF 5 &--RYY013 3   "!#  1508"64??;#H/Fvdoo/Fv/N$NORUU "3< !$,,/%Y $Y $Y$Y$Y$Y akk)#% S#6:agg#6w#??#EE S#59QWW#5g#>>DDJaoog.F(F(LM  Q%5%5g%>? Xq//89Xq//89 HF 0 0F43E3EF G& ' VT%9%9: --"5*QWW"5g">>LMM,?Jqww,?,HH9;Vh 0 0 7!:J:J5:Q QRi!1!1%!81;K;KE;R!RSi!1!1%!81;K;KE;R!RS  #(177#H- - 3 %HQWW%h/ 025 6 OOJ/ 025 6 .HQ__-g6 7:= =u%  & u%  &'   S;9VC[177%:;FCCcI Jw' () q'7'7'?@ -)9)9&)AB    \ *Q-=-=f-E EG    \ *Q-=-=f-E EG X{}-O;c#/4Yqww5G/H'1'&/2J2J2L'M0NOOVXY #Xakk "9 -:yc +akk9::FGuT{=)*eDk-( )  +keDk-.HH  J 77Q]]*QVV3ajj@  HHll    -s5IZ5I&5Q/QTW/WX C"6*QXX"6w"??#EG  II  'hh hh jj   nn   gg  ff gg gg ii ii jj ff jj kk  ff! "ll# $jj% &ll'  .qwwx059O3PPQ %0F*GG H:jALL069:5A B 777+e4J.KK M $AGG,&sD%H  67HHJ JJAMMAJJ$>? ?)+ M  $%66 !,1(s 4s&i c\t|dd||g|_i|_ |jj |}g|_d|_i|_tjtjt|dS#t $r#}t d|jdzdd}~wwxYw)z Parse expression *s* using the given *fonts_object* for output, at the given *fontsize* and *dpi*. Returns the parse tree of `Node` instances. rrr.rNF)r _state_stack_em_width_cacherS parse_stringr r1explainrUr reset_cacherrr@)rPrJ fonts_objectrWrresultr3s r4parsez Parser.parse! s  ix EGFH >%%2215F+0(!!!#vveVAY''" >TCKKN23 = >sA?? B+B&&B+c |jdS)z&Get the current `State` of the parser.r)rXrs r4 get_statezParser.get_state6 s  $$rEc8|jjy)zPop a `State` off of the stack.N)rXrrs r4 pop_statezParser.pop_state: s rEcr|jj|jjy)z=Push a new `State` onto the stack, copying the current state.N)rXrrarrs r4 push_statezParser.push_state> s&   !1!6!6!89rEc6t|jgSrN)r@as_listrPrs r4rRz Parser.mainB sdlln%&&rEcH|jj|ddddS)NrrrT) parse_all)rTrZrhs r4rPzParser.math_stringE s($$11$q'!B-41PPrEcZt|j}|j|gSrN)r@rgrc)rPrhlists r4rrz Parser.mathH s#dlln% wrEc |djdd}|Dcgc]}t||j}}t|}|j t j d|j_|gScc}w)Nrz\$r)r)replacer rar@rerrrV)rPrrJr symbolsrls r4rQzParser.non_mathM so GOOE3 '67844>>+,88g  # -? @w 9s!Bc |j|j}d|_t|dDcgc]}t ||c}}|j |gScc}w)Nrr)rerarVr@r rc)rPrrr rls r4rJz Parser.textX sT   tAw7!tAu~78 w8sA!c>|j}|j|j|jf}|jj |}|@|j jd|j|j}||j|<t||zS)Nr) rarVrWrrYrrrrM)rP percentagerr%r9s r4 _make_spacezParser._make_space` s zz5>>5995$$((- =MM**8U^^UYYOE(-D  %EJ&''rEgKqU?g0Bxq?g%?g1ZGU?rrhgKqUſ) \,z \thinspacez\/z\>z\:z\;z\ r<z\enspacez\quadz\qquadz\!cN|j|d}|j|}|gSNr)r.rs)rPrrXrOs r4rz Parser.space~ s-  g/s#u rEc,|j|dgSrv)rsrhs r4r9zParser.customspace s  g/00rEc6|d}|dk(rd} t||j}||jvrt d|d|dddDd}|j sJ||jvr?t|d|jdk(s|d h|j|jvr|gSt|jd ||jd gd gS||jvrt d |d|dddDd}t d||dzdDd}|dk(r |d k(r|dk(r|gS|dk(r#|jr|jr|gSt||jd gd gS|gS#t$r}t||d|z|d}~wwxYw)Nr-rzUnknown symbol: %sc3,K|] }|dk7s |ywrNrDrr s r4rz Parser.symbol.. CA!s(aC rr/rr3rTrc3,K|] }|dk7s |ywr{rDr|s r4rz Parser.symbol.. r}r~c3,K|] }|dk7s |ywr{rDr|s r4rz Parser.symbol.. sAASaAr~r,r4.)r rar1r_spaced_symbolsrrU_binary_operatorsr*rF _left_delims_relation_symbolsr@rs_punctuation_symbolsr+) rPrJrrr r}r3 prev_char next_chars r4r2z Parser.symbol s K 8 !A I4>>+,D $$ $C4C2CRHI00///$3 (A-?J"//?J262H2H?J2Jv t//4##//46'+,--$++ +C4C2CRHIA378A2FICx# S(8 6MCxI--/I4E4E4Gv tT%5%5c%:;TJKKv E I%a&:Q&>@EH I IsE99 FFFc(t||d|d)NzUnknown symbol: rjrrPrJrrs r4r0zParser.unknown_symbol s!!S,. sC!s(!Cr~r/r;rrt>rr;)rerarVrcr rrrr*rrr4rsr.rcrUr@) rPrJrrr hlist_listrjr  next_char_locr delimiterss r4rNzParser.operatorname s;   !# F| %A!T"!!#!!!$As#!!$q%.1!!!$ %c$i!+ dL ) S!12 2MCQ}~%6CRH \\S#J. 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