#FddZddlZddlZddlmZmZej Zded<dddd d d d d dddd Zdddddddddd Z e jddDdddddZ ddd d!d"d#d$d%d&d'd(d)d$d* Z id+d,d-d.d/d0d1d2d3d4d5d6d7d8d9d:d;d<d=d>d?d@dAdBdCdDdEdBdFdDdGdDZ e jeje jeje jej idHdIdJdKdLdMdNdOdPdQdRdSdTdUdVdWdXdYdZd[d\d]d^d_d`dadbdcdddedfdcdgdcdeddhdidjdkdlZejej$ejej&ejej(ejej*ejej,eje dmdndoZdpdqdrdsdtdudvdwZdxZdydzd{d{d|d}d}d~d~ddddd Zddddddddddddd ZddddddddZddddddZddddZddddddZdddddddddZ dddddddddddddZ!iifddddife!dife!difiddife!dddife!dddifdZ"gdZ#ddddddddddd Z$GddZ%Gdde%Z&Gdde%Z'GdÄde%Z(Gdńde(Z)GdDŽde(Z*GdɄde(Z+Gd˄de(Z,Gd̈́de(Z-Gdτde(Z.Gdфde%Z/Gdӄde/Z0GdՄde/Z1Gdׄde/Z2Gdلde/Z3Gdۄde%Z4Gd݄de4Z5Gd߄de4Z6Gdde4Z7Gdde5Z8Gdde6Z9Gdde7Z:Gdde4Z;Gdde%Z<Gdde%Z=dZ>dZ?dZ@dZAdZBdZCdZDdZEddZFdZGdZHdZIdZJddZKy)zConvert LaTex maths code into presentational MathML. This module is provisional: the API is not settled and may change with any minor Docutils version. N) tex2unichar toplevel_codeuℏhbaruΦuΞΣuΨuΔuΘuϒΠuΩΓuΛ) PhiXiSigmaPsiDeltaThetaUpsilonPiOmegaGammaLambdau lim infu lim supu inj limu proj limlim) liminflimsupinjlimprojlim varlimsup varliminf varprojlim varinjlim operatornamec#$K|]}||f ywN).0names E/usr/lib/python3.12/site-packages/docutils/utils/math/latex2mathml.py r$Bs#A@#'$@s)arccosarcsinarctanargcoscoshcotcothcscdegdetdimexpgcdhomkerlglnlogPrsecsinsinhtantanh)TTFz0.278em)FTT0.444em)FTFz0.667em)FFTr>)bmodpmodmodpodbolditalic monospacenormalz sans-serifscriptz bold-italicz double-struckfrakturzsans-serif-italiczsans-serif-bold-italic) boldsymbolmathbfmathitmathttmathrmmathsfmathcalmathbfitmathbbmathfrakmathsfit mathsfbfitmathscr backslash\uparrowu↑ downarrowu↓ updownarrowu↕Uparrowu⇑ Downarrowu⇓ Updownarrowu⇕ lmoustacheu⎰ rmoustacheu⎱ arrowvertu⏐ bracevertu⎪lvert|lVert‖rvertrVert Arrowvertnleqqu≦̸ngeqqu≧̸ nleqslantu⩽̸ ngeqslantu⩾̸ngtrlessu≹nlessgtru≸ nsubseteqqu⫅̸ nsupseteqqu⫆̸ centerdotu⬝ varnothingu⌀ varproptou∝triangleu△ triangledownu▽dotsb⋯dotscu…dotsidotsmsupinfmaxmin)dotsorr{r|r}r~u∼u≈)thicksim thickapproxu∣u∥u∤u∦u⌢u⌣u∫)shortmid shortparallel nshortmidnshortparallel smallfrown smallsmilesmallint)bigcapbigcupbigodotbigoplus bigotimesbigsqcupbiguplusbigveebigwedgecoprodintopointopprodsumrr}r~r{r|2em1emz0.2778emz0.25emz0.2222emz0.1667emz -0.1667emz -0.2222emz -0.2778em) qquadquad thickspace; medspace: thinspace, negthinspace! negmedspace negthickspace)´ú)uˉū)u˘ŭ)uˇǔ)u˙u̇)¨ü)rwu⃛)`ù)uˆû)u˚ů)u˜ũ)→u⃗) acutebarbrevecheckdotddotdddotgravehatmathringtildevec)u⏞皙ɿ)←r)u↔r)_r)rr)^g)~g333333ӿ) overbrace overleftarrowoverleftrightarrowoverlineoverrightarrowwidehat widetilde)u⏟g?)rg) underbraceunderleftarrowunderleftrightarrow underlineunderrightarrowu−u∶ )-rruℾuℿ⅀uℽuℼ)rrruγuπ)r)())[]){})rcrc)rere)rr)matrix smallmatrixpmatrixbmatrixBmatrixvmatrixVmatrixcasesT) displaystyle scriptlevelF)r textstyle scriptstylescriptscriptstylecfrac)rrCLASSrr linethickness)fracrdfractfracbinomdbinomtbinom)rz1.2emz1.623emz2.047emz2.470em) leftrightbiglbigrBiglBigrbigglbiggrBigglBiggrceZdZdZdZ dZ dZeddeddedd d d iZd d dZ dZ dZ dZ dZ dZdZdZdZdZdZdZdZddZdZddZdZy) mathz8Base class for MathML elements and root of MathML trees.Nrz>&z&ia z⁡truefalse)TFspancg|_|j|i|_|jD]"}|||j|j <$y)aSet up node with `children` and `attributes`. Attributes are downcased: Use CLASS to set "class" value. >>> math(mn(3), CLASS='test') math(mn(3), class='test') >>> math(CLASS='test').toprettyxml() ' ' N)childrenextend attributeskeyslower)selfrrkeys r#__init__z math.__init__ZsI  H??$C,6c?DOOCIIK (%ct|dgDcgc] }t|}}t|dr$|jt|jt |t r|jr|jd||jjDcgc]\}}||d|c}}z }|jjddj|zzScc}wcc}}w)Nrdataz switch=True=z(%s)z, ) getattrreprhasattrappendr isinstance MathSchemaswitchritems __class____name__join)ritemcontentkvs r#__repr__z math.__repr__ms*1$ B*GH*G$4:*GH 4 NN4 ? + dJ 'DKK NN= )t/D/D/F&/Ftq!}N/F& &~~&&$))G2D)DDDI &s C#C(c,t|jSr)lenrrs r#__len__z math.__len__xs4==!!rc |j|Srr)rrs r# __getitem__zmath.__getitem__}ss##rc"||j|<yrr)rrrs r# __setitem__zmath.__setitem__s#rc:|jj|i|Sr)rget)rargskwargss r#r$zmath.gets"t""D3F33rcR|jduxrt||jk\S)z;Return boolean indicating whether children may be appended.N) nchildrenrrs r#fullz math.fulls(d*0I/ 1rc|jrtd|z|jj|||_|jr|j S|S)zAppend child and return self or first non-full parent. If self is full, go up the tree and return first non-full node or `None`. zNode %s already full!)r) SyntaxErrorrr parentclose)rchilds r#r z math.appendsQ 99;5<= = U# 99;::<  rc6|D]}|j||Sr)r )rrr.s r#rz math.extendsE KK  rc|j}|/|jr|j}||jr|S)z7Close element and return first non-full parent or None.)r,r))rr,s r#r-z math.closes7 V[[]]]F V[[] rc@dj|jS)z,Return XML representation of self as string.r)r_xmlrs r# toprettyxmlzmath.toprettyxmlswwtyy{##rc~|jg|j|zd|jjzgzS)Nz) xml_starttag _xml_bodyrrrlevels r#r2z math._xmlsA""$%..'(T^^44456 7rcd|jjD}ddj|jjg|zS)Nc3K|]:\}}|3|dt|jddjddd<yw)Nz="TruerFalser")strreplace)r!rrs r#r$z$math.xml_starttag..sC#4TQM Q!?!G!GQX!YZ4sAAz<%s>r)rrrrr)rattrss r#r5zmath.xml_starttagsF#!__224#$.."9"9!BE!BCCCrcg}|jD]>}|jdd|dzzg|j|j|dz@|jdd|zg|S)N z r)rrr2)rr8xmlr.s r#r6zmath._xml_bodysd]]E JJdeAg./ 0 JJuzz%'* +# D$,'( rc |ddk(S#t$r. |jjcYS#t$rYYywxYwwxYw)z;Return true, if `self` or a parent has ``display='block'``.displayblockF)KeyErrorr,is_blockAttributeErrorrs r#rHz math.is_blocksO  ?g- -  {{++--!   s$ A0A =A=Ar)r __module__ __qualname____doc__r(r,_levelord xml_entities _boolstrings html_tagnamerrrr r"r$r)r rr-r3r2r5r6rHr rr#rrDsBI- F) F C& C& C'# L!1LCL+;& E" $$41  $7 D rrc eZdZy)mtableNrrKrLr rr#rTrTrrTc"eZdZdZfdZxZS)mrowz*Group sub-expressions as a horizontal row.c|j}t|trb|jdk(rSt |j |_|j |_|j D] }||_ |j St |dk(rJ |j d|j |j j|<||j d_t|S#ttf$r|j dcYSwxYw)zClose element and return first non-full parent or None. Remove , if it is single child and the parent infers an mrow or if it has only one child element. rr) r,r MathRowSchemar(rrr-indexrI ValueErrorsuper)rr,r.rs r#r-z mrow.closes  fm ,1A1AQ1F"6??3F "mmFO% '<<> ! t9> (?C}}Q?O 5 5d ;<*0 a 'w}#J/ (}}Q'' (sA C&&DD)rrKrLrMr- __classcell__rs@r#rXrXs4rrXceZdZdZy)rZzCBase class for elements treating content as a single inferred mrow.N)rrKrLrMr rr#rZrZ sMrrZc eZdZy)mtrNrUr rr#rbrbrVrrbc eZdZy)mtdNrUr rr#rdrdrVrrdceZdZdZy)mencloserNrrKrLr(r rr#rfrfIrrfceZdZdZy)mphantomrNrgr rr#rjrjrhrrjceZdZdZy)msqrtrNrgr rr#rlrlrhrrlceZdZdZy)mstylerNrgr rr#rnrnrhrrnc.eZdZdZdZfdZddZxZS) MathTokenzbToken Element: contains textual data instead of children. Base class for mo, mi, and mn. rc 2||_t|di|y)Nr )rr]r)rrrrs r#rzMathToken.__init__)s  &:&rc`t|jj|jgSr)r>r translaterPr7s r#r6zMathToken._xml_body-s$DII(():):;<>> tex_cmdname('mymacro2') # up to first non-letter ('mymacro', '2') >>> tex_cmdname('name 2') # strip trailing whitespace ('name', '2') >>> tex_cmdname('_2') # single non-letter character ('_', '2') z([a-zA-Z]+) *(.*)z(.?)(.*)rrrematchgroupstringms r# tex_cmdnamersE %v.Ay HH[& ) 771:qwwqz !!rc~tjd|}|d|fS|jd|jdfS)zmReturn leading number literal and remainder of `string`. >>> tex_number('123.4') ('123.4', '') z([0-9.,]*[0-9]+)(.*)rrrrrs r# tex_numberrs? (&1Ay6z 771:qwwqz !!rctjd|tj}|jdddd\}}}}|xs|xs||fS)zReturn first simple TeX token and remainder of `string`. >>> tex_token('\command{without argument}') ('\command', '{without argument}') >>> tex_token('or first character') ('o', 'r first character') a%((?P\\[a-zA-Z]+)\s* # TeX command, skip whitespace |(?P\\.) # one-character TeX command |(?P.?)) # first character (or empty) (?P.*$) # remaining part of string cmdchcmdch remainder)rrVERBOSEr)rrrrrrs r# tex_tokenrsV bjj  *A !"wk JCI  % 2y ((rcd}d}d}|jds |dd|ddfS|D]0}|dz }|rd}n|dk(rd}n|dk(r|dz }n |dk(r|dz}|dk(s0n td |d|dz ||dfS) zReturn first TeX group or token and remainder of `string`. >>> tex_group('{first group} returned without brackets') ('first group', ' returned without brackets') rFrNrrWTrzGroup without closing bracket) startswithr+)r split_index nest_levelescapecs r# tex_grouprsKJ F   S !bqz6!":%% q F $YF #X !OJ #X !OJ ? 9:: !KM "F;<$8 88rcht|\}}|dk(rt|j\}}||fS)aReturn first TeX group or token and remainder of `string`. >>> tex_token_or_group('\command{without argument}') ('\command', '{without argument}') >>> tex_token_or_group('first character') ('f', 'irst character') >>> tex_token_or_group(' also whitespace') (' ', 'also whitespace') >>> tex_token_or_group('{first group} keep rest') ('first group', ' keep rest') r)rrlstrip)rr(rs r#tex_token_or_grouprs7v&NC cz"6==?3Y  >rctjd|tj}||jdsd|fS |j d|j dfS#t $rt d|zwxYw)a$Return optional argument and remainder. >>> tex_optarg('[optional argument] returned without brackets') ('optional argument', ' returned without brackets') >>> tex_optarg('{empty string, if there is no optional arg}') ('', '{empty string, if there is no optional arg}') z\s* # leading whitespace \[(?P(\\]|[^\[\]]|\\])*)\] # [group] without nested groups (?P.*$) rroptargrz+Could not extract optional argument from %r)rrrrrrIr+rs r# tex_optargr&s bjj *A y**3/6zRwwx !''+"666 RG&PQQRs !A A8cBdj|j}|}t|dkDr|d|dd}}|dk(r|dk(r t|\}}t |||\}}n|dvrt ||}n|dk(rt }|j||}ns|dk(r|j}n\|d k(r-t}|jj||}n*|jr|jt|}n|jr,t|\}}|jt||z}n|tvrmi}|d k(rC|j r7|j d }t#|d d d vs|j%ddk(rd|d<|jt't|fi|}nN|dvr|jt'|d}n-|dvr|jt'|}nt)d|zt|dkDr|S)uAppend MathML conversion of `string` to `node` and return it. >>> parse_latex_math(math(), r'lpha') math(mi('α')) >>> parse_latex_math(mrow(), r'x_{n}') mrow(msub(mi('x'), mi('n'))) rrrNrW_^rrrrrrz([=classmathopenprefixformz/()[]|Fstretchyz +*=<>,.!?`';@zUnsupported character: "%s")rsplitrr handle_cmdhandle_script_or_limitrXr r-rdisalpharwisdigitrr{anomalous_charsrr r$ryr+) nodertreercmdnamenew_nodenumberr previous_nodes r#parse_latex_mathrEsXXflln %F D f+/1Ivabz6 8  9)&1OGV%gtVk(s|j;d?r|j?}||fS|d@k(rotA|\}}|dAk(r|dB|zfS|jdr t*|dd }tCjDdD|dEz}|jt|}||fS|dFvr|t |\}}|jGdG}tI|D]K\}}|dHzdk(r2tKjLdIdJ|}|jtO|}@t||M||fS|tPvr)|jtdKtP|z}||fS|dLvrUtS|\}}|j;dMrdNtU|d dOdPz z}|jtdK|z}||fS|dQk(rtW}|j|||fS|dRk(r!tYdST}|j|||fS|dUk(rct[|\}}|r4t=}t]|d0V}t|||j?n t_}|j|||fS|t`vrt`|\}}|dWk(r:t[|\}}d;d>dX}||vr#|jc}|||dY<dZ||z|d<tedmi|x}}|j;d[r(t=td|tdd[\}d]|_3|r t%|fi|}|j|||fS|dk(rFti}tk|}|j?j?j|||fS|tlvrUtttl|dd d0V}|d^k(rd |jndd_<||_8|j|||fS|trvr?tttr|dd0 d0d `}||_8|j|||fS|dak(r!td0V}|j|||fS|ttvr>> handle_cmd('hbar', math(), r' rac') (math(mi('ℏ')), ' \frac') >>> handle_cmd('hspace', math(), r'{1ex} (x)') (math(mspace(width='1ex')), ' (x)') z capital-greekrrrF) mathvariantrrr¯F)accentrrrrr)rru⁡rA)lspacerspacer)widthrr0.333emrrIrrUrWrNrQrcolonrpostfix0z0.28em)rrridotsintz\int\dotsi\intzfont-weight: bold)stylez75%)mathsizez _^T movablelimits)rbrdrz()[]/|.zUnsupported "\z " delimiter "z"!maxsizeminsize symmetricrl.rrnotrz{\not z\not: Cannot negate: "%s"!NFCu̸)textmboxtextrm$rz(^ | $)rz%s)hspacermuz%semrphantomboxedbox)notationsqrt)rr)rrnumalignz numalign-r)rrrr)rroversetunderset) xleftarrow xrightarrowlongrz3Declaration "\%s" must be first command in a group.limitsr)rbeginendzUnknown LaTeX command: \r )Flettersrwgreek_capitalsr  functionsrrryrmodulo_functionsrHrrmath_alphabetsrr$rQrrnthick_operatorssmall_operators operatorsr bigdelimitersdelimiter_sizes stretchablesrrGr+endswithrXr-r unicodedata normalizer enumeratersubruspacesrfloatrjrfrrrl fractionscopyrr(rdrbaccentsrtex_cmdoverunderrr layout_stylesrr,r[rrrbegin_environmentend_environment)r"rrrr(binarynamed parenthesespaddingrrrdelimiter_attributessize delimiterrowpartsipartradix indexnode style_atts frac_attsroptargsrentry subscriptbasesub_nodes r#rrs[ & wgdm$ > !!0HW {{8$V| y > !-V4KC#84H)D/*H ; h30H [ Xr$x>H \ !h8 5H [ h8 5H{{8$ fQiz1;;r(|,DV| 0@0F- W ;;r%HID<  ==?G{{601 ;;r#67D ;;r%y)D;;vI67D(0 Vc* ;;r#67DV| ~ < !<0J')=>J 9 "+Jw +F3Y >>$ ++c!"gs+C 8 **S#&C ;;=C8O;;r#445D? "$$ Ef} w{{2c #hOPV| z&78V| {{2od3;NOPV| {{2od3eDEV| y = Vq U0B*.J ' ' '",Jw {{2io<<=V| }!}T23.v6 6 I % 7()9)9$)?@  .2  +.2  +04  - 6>T]]3/&C KK D   KK9=(<= > 7?dmmC0::>$  EAB(##E3x<8{{2c7#V| ))(0 V # 'GAt1uzvvi48{{5;/ t, ( V| v~{{6VD\(9:;V| ##' V << E#cr(OB./C{{6S12V| y: H wU+ H  v~"6* v IYt4H Y . OO wH H y"+D/Y 7?'/NFF"1G %NN, (/ *%%076?%B '",),,4 == !BsGXr#wgFH!"H  h5*5H HV| t|u: ##H-f} wGDM!,u=dK 5=-2H  a  * H t|DJqM$7 $U4 H y% H u}"U4[^,T: H z& H ,,&v. 6)F48O,- !$'H' :H8}!#,,Q/ OOH %T{H H }0M$/0! dD !c$i1nEMDKK !5!5!;!;D!A B"kkHO  ^^ $ $ . KK !,.234 4 }}X"6*Y $;F)$DADV| w v.. u}tV,, 1D8 99i 7!%)9#677 70 E!"?"CDD Es9k k6k36lc|jj}|dk(rd|d<n|dk(st|ddtvrd|d<|dk(rt |t rt |jddi}nt |trt|jddi}n|d vs|dk(r|jdd r t|}nt|}n}|d k(rxt |trt |j}nUt |trt|j}n2|d vs|dk(r|jdd r t |}n t|}|j|S) z)Append script or limit element to `node`.rFrrrTrr)rrNr) rr~r rrrrrrr$rrr )rrrr.rs r#rrs0 MM   E !&o O # UFB '= 8!%oCx eU #!5>>?$?H t $>2H t $/H332%))OT"BU|HE{HKK Orct|\}}|tvrt|d}i}|rHtt|}|dk(rtt|d}d|d<|j ||}n.|dk(r)d|d <d |d <t d }|j ||}t }|j tt|fi||}||fStd)Nrrz0.17em)rr columnalignrz0.02em rowspacingr columnspacing1)rEnvironment not supported!) rmatricesrXryr rnrdrTrbr+)rrr"left_delimiterrwrapperr s r#rrsV$LD& x!$* 2n-.Gwr.BC,2 =) KK D ] "'/J| $*3J '-G KK D F3u:445 <677rcFt|\}}|tvr|jjj}t|d}|r.|jt |}|j}||fS|dk(r|j}||fSt d)Nrrr*)rr+r-r ryr+)rrr"right_delimiters r#rr6sV$LD& xzz|!!#))+"4.+ ;;r/23D::.H'ADSsyy~ % 00D-/rrr)r}int)rowstabss r#tex_equation_columnsr;Gs. ADA AD qy tAvz?rcddd}td|D}|r?ddg|z}ddg|z}d j|d|d z|d <d j|d||d <|S) NalignT)rrc3bK|]'}|jd|jdz )ywr2r3r5s r#r$z#align_attributes..[r6r7rrrrrrr&r()r}r)r9attsr:alignsspacings r#align_attributesrBXsz  "D ADA AD 6"T),%!hhvgtAv7] #$ 8_ Krc "td}|}|sdd|d<t|jd}t|dkDr7t }|j t t|fit|t|||jS)zoReturn string with MathML code corresponding to `tex_math`. Set `inline` to False for displayed math. z"http://www.w3.org/1998/Math/MathML)xmlnsrFrEz\\r) rrrrrdr rTrbrBrr3)tex_mathinline math_treerr9s r# tex2mathmlrHms ?@I D & )X&,,U3 t9q=5D   VCI>&6t&<> ?T8$  ""r)r)T)LrMrrdocutils.utils.mathrr mathalpharrrupdaterrr mathfencer mathclosermathbinmathrelmathord mathpunctmathoprrrrr r r rrQr+r rrrrrTrXrZrbrdrfrjrlrnrprurwryr{rrrrrrrrrrrrrrrrrrrrrr;rBrHr rr#rSsk  :    8h hx(  +   A@AA - , , , !%*.488  8  8 888888 # ( #  (!"(# & K))* K(() K))*   .  . .   .   .  . . .  (   H " X# $ X% & X' ( X) *     7  : $$% $$% $$% &&' ##$  4 ! %%#%%%%&&&& $!     !   ! (-,,,,,, !1 0 0 0 0  !     # +/B*/B*/B*/B  2h $a "#%'^,b1[)2.OQ'(^,.BC[)OQ+?@  A  @@|T4>NDN--}}M] = =I,::jTD" JDT": "6)>9b,R>7f{:B B8 "" *#r