PNG  IHDRQgAMA a cHRMz&u0`:pQ<bKGDgmIDATxwUﹻ& ^CX(J I@ "% (** BX +*i"]j(IH{~R)[~>h{}gy)I$Ij .I$I$ʊy@}x.: $I$Ii}VZPC)I$IF ^0ʐJ$I$Q^}{"r=OzI$gRZeC.IOvH eKX $IMpxsk.쒷/&r[޳<v| .I~)@$updYRa$I |M.e JaֶpSYR6j>h%IRز if&uJ)M$I vLi=H;7UJ,],X$I1AҒJ$ XY XzI@GNҥRT)E@;]K*Mw;#5_wOn~\ DC&$(A5 RRFkvIR}l!RytRl;~^ǷJj اy뷦BZJr&ӥ8Pjw~vnv X^(I;4R=P[3]J,]ȏ~:3?[ a&e)`e*P[4]T=Cq6R[ ~ޤrXR Հg(t_HZ-Hg M$ãmL5R uk*`%C-E6/%[t X.{8P9Z.vkXŐKjgKZHg(aK9ڦmKjѺm_ \#$5,)-  61eJ,5m| r'= &ڡd%-]J on Xm|{ RҞe $eڧY XYrԮ-a7RK6h>n$5AVڴi*ֆK)mѦtmr1p| q:흺,)Oi*ֺK)ܬ֦K-5r3>0ԔHjJئEZj,%re~/z%jVMڸmrt)3]J,T K֦OvԒgii*bKiNO~%PW0=dii2tJ9Jݕ{7"I P9JKTbu,%r"6RKU}Ij2HKZXJ,妝 XYrP ެ24c%i^IK|.H,%rb:XRl1X4Pe/`x&P8Pj28Mzsx2r\zRPz4J}yP[g=L) .Q[6RjWgp FIH*-`IMRaK9TXcq*I y[jE>cw%gLRԕiFCj-ďa`#e~I j,%r,)?[gp FI˨mnWX#>mʔ XA DZf9,nKҲzIZXJ,L#kiPz4JZF,I,`61%2s $,VOϚ2/UFJfy7K> X+6 STXIeJILzMfKm LRaK9%|4p9LwJI!`NsiazĔ)%- XMq>pk$-$Q2x#N ؎-QR}ᶦHZډ)J,l#i@yn3LN`;nڔ XuX5pF)m|^0(>BHF9(cզEerJI rg7 4I@z0\JIi䵙RR0s;$s6eJ,`n 䂦0a)S)A 1eJ,堌#635RIgpNHuTH_SԕqVe ` &S)>p;S$魁eKIuX`I4춒o}`m$1":PI<[v9^\pTJjriRŭ P{#{R2,`)e-`mgj~1ϣLKam7&U\j/3mJ,`F;M'䱀 .KR#)yhTq;pcK9(q!w?uRR,n.yw*UXj#\]ɱ(qv2=RqfB#iJmmL<]Y͙#$5 uTU7ӦXR+q,`I}qL'`6Kͷ6r,]0S$- [RKR3oiRE|nӦXR.(i:LDLTJjY%o:)6rxzҒqTJjh㞦I.$YR.ʼnGZ\ֿf:%55 I˼!6dKxm4E"mG_ s? .e*?LRfK9%q#uh$)i3ULRfK9yxm܌bj84$i1U^@Wbm4uJ,ҪA>_Ij?1v32[gLRD96oTaR׿N7%L2 NT,`)7&ƝL*꽙yp_$M2#AS,`)7$rkTA29_Iye"|/0t)$n XT2`YJ;6Jx".e<`$) PI$5V4]29SRI>~=@j]lp2`K9Jaai^" Ԋ29ORI%:XV5]JmN9]H;1UC39NI%Xe78t)a;Oi Ҙ>Xt"~G>_mn:%|~ޅ_+]$o)@ǀ{hgN;IK6G&rp)T2i୦KJuv*T=TOSV>(~D>dm,I*Ɛ:R#ۙNI%D>G.n$o;+#RR!.eU˽TRI28t)1LWϚ>IJa3oFbu&:tJ*(F7y0ZR ^p'Ii L24x| XRI%ۄ>S1]Jy[zL$adB7.eh4%%누>WETf+3IR:I3Xה)3אOۦSRO'ٺ)S}"qOr[B7ϙ.edG)^ETR"RtRݜh0}LFVӦDB^k_JDj\=LS(Iv─aTeZ%eUAM-0;~˃@i|l @S4y72>sX-vA}ϛBI!ݎߨWl*)3{'Y|iSlEڻ(5KtSI$Uv02,~ԩ~x;P4ցCrO%tyn425:KMlD ^4JRxSهF_}شJTS6uj+ﷸk$eZO%G*^V2u3EMj3k%)okI]dT)URKDS 7~m@TJR~荪fT"֛L \sM -0T KfJz+nإKr L&j()[E&I ߴ>e FW_kJR|!O:5/2跌3T-'|zX ryp0JS ~^F>-2< `*%ZFP)bSn"L :)+pʷf(pO3TMW$~>@~ū:TAIsV1}S2<%ޟM?@iT ,Eūoz%i~g|`wS(]oȤ8)$ ntu`өe`6yPl IzMI{ʣzʨ )IZ2= ld:5+請M$-ї;U>_gsY$ÁN5WzWfIZ)-yuXIfp~S*IZdt;t>KūKR|$#LcԀ+2\;kJ`]YǔM1B)UbG"IRߊ<xܾӔJ0Z='Y嵤 Leveg)$znV-º^3Ւof#0Tfk^Zs[*I꯳3{)ˬW4Ւ4 OdpbZRS|*I 55#"&-IvT&/윚Ye:i$ 9{LkuRe[I~_\ؠ%>GL$iY8 9ܕ"S`kS.IlC;Ҏ4x&>u_0JLr<J2(^$5L s=MgV ~,Iju> 7r2)^=G$1:3G< `J3~&IR% 6Tx/rIj3O< ʔ&#f_yXJiގNSz; Tx(i8%#4 ~AS+IjerIUrIj362v885+IjAhK__5X%nV%Iͳ-y|7XV2v4fzo_68"S/I-qbf; LkF)KSM$ Ms>K WNV}^`-큧32ŒVؙGdu,^^m%6~Nn&͓3ŒVZMsRpfEW%IwdǀLm[7W&bIRL@Q|)* i ImsIMmKmyV`i$G+R 0tV'!V)֏28vU7͒vHꦼtxꗞT ;S}7Mf+fIRHNZUkUx5SAJㄌ9MqμAIRi|j5)o*^'<$TwI1hEU^c_j?Е$%d`z cyf,XO IJnTgA UXRD }{H}^S,P5V2\Xx`pZ|Yk:$e ~ @nWL.j+ϝYb퇪bZ BVu)u/IJ_ 1[p.p60bC >|X91P:N\!5qUB}5a5ja `ubcVxYt1N0Zzl4]7­gKj]?4ϻ *[bg$)+À*x쳀ogO$~,5 زUS9 lq3+5mgw@np1sso Ӻ=|N6 /g(Wv7U;zωM=wk,0uTg_`_P`uz?2yI!b`kĸSo+Qx%!\οe|އԁKS-s6pu_(ֿ$i++T8=eY; צP+phxWQv*|p1. ά. XRkIQYP,drZ | B%wP|S5`~́@i޾ E;Չaw{o'Q?%iL{u D?N1BD!owPHReFZ* k_-~{E9b-~P`fE{AܶBJAFO wx6Rox5 K5=WwehS8 (JClJ~ p+Fi;ŗo+:bD#g(C"wA^ r.F8L;dzdIHUX݆ϞXg )IFqem%I4dj&ppT{'{HOx( Rk6^C٫O.)3:s(۳(Z?~ٻ89zmT"PLtw䥈5&b<8GZ-Y&K?e8,`I6e(֍xb83 `rzXj)F=l($Ij 2*(F?h(/9ik:I`m#p3MgLaKjc/U#n5S# m(^)=y=đx8ŬI[U]~SцA4p$-F i(R,7Cx;X=cI>{Km\ o(Tv2vx2qiiDJN,Ҏ!1f 5quBj1!8 rDFd(!WQl,gSkL1Bxg''՞^ǘ;pQ P(c_ IRujg(Wz bs#P­rz> k c&nB=q+ؔXn#r5)co*Ũ+G?7< |PQӣ'G`uOd>%Mctz# Ԫڞ&7CaQ~N'-P.W`Oedp03C!IZcIAMPUۀ5J<\u~+{9(FbbyAeBhOSܳ1 bÈT#ŠyDžs,`5}DC-`̞%r&ڙa87QWWp6e7 Rϫ/oY ꇅ Nܶըtc!LA T7V4Jsū I-0Pxz7QNF_iZgúWkG83 0eWr9 X]㾮݁#Jˢ C}0=3ݱtBi]_ &{{[/o[~ \q鯜00٩|cD3=4B_b RYb$óBRsf&lLX#M*C_L܄:gx)WΘsGSbuL rF$9';\4Ɍq'n[%p.Q`u hNb`eCQyQ|l_C>Lb꟟3hSb #xNxSs^ 88|Mz)}:](vbۢamŖ࿥ 0)Q7@0=?^k(*J}3ibkFn HjB׻NO z x}7p 0tfDX.lwgȔhԾŲ }6g E |LkLZteu+=q\Iv0쮑)QٵpH8/2?Σo>Jvppho~f>%bMM}\//":PTc(v9v!gոQ )UfVG+! 35{=x\2+ki,y$~A1iC6#)vC5^>+gǵ@1Hy٪7u;p psϰu/S <aʸGu'tD1ԝI<pg|6j'p:tպhX{o(7v],*}6a_ wXRk,O]Lܳ~Vo45rp"N5k;m{rZbΦ${#)`(Ŵg,;j%6j.pyYT?}-kBDc3qA`NWQū20/^AZW%NQ MI.X#P#,^Ebc&?XR tAV|Y.1!؅⨉ccww>ivl(JT~ u`ٵDm q)+Ri x/x8cyFO!/*!/&,7<.N,YDŽ&ܑQF1Bz)FPʛ?5d 6`kQձ λc؎%582Y&nD_$Je4>a?! ͨ|ȎWZSsv8 j(I&yj Jb5m?HWp=g}G3#|I,5v珿] H~R3@B[☉9Ox~oMy=J;xUVoj bUsl_35t-(ՃɼRB7U!qc+x4H_Qo֮$[GO<4`&č\GOc[.[*Af%mG/ ňM/r W/Nw~B1U3J?P&Y )`ѓZ1p]^l“W#)lWZilUQu`-m|xĐ,_ƪ|9i:_{*(3Gѧ}UoD+>m_?VPۅ15&}2|/pIOʵ> GZ9cmíتmnz)yߐbD >e}:) r|@R5qVSA10C%E_'^8cR7O;6[eKePGϦX7jb}OTGO^jn*媓7nGMC t,k31Rb (vyܴʭ!iTh8~ZYZp(qsRL ?b}cŨʊGO^!rPJO15MJ[c&~Z`"ѓޔH1C&^|Ш|rʼ,AwĴ?b5)tLU)F| &g٣O]oqSUjy(x<Ϳ3 .FSkoYg2 \_#wj{u'rQ>o;%n|F*O_L"e9umDds?.fuuQbIWz |4\0 sb;OvxOSs; G%T4gFRurj(֍ڑb uԖKDu1MK{1^ q; C=6\8FR艇!%\YÔU| 88m)֓NcLve C6z;o&X x59:q61Z(T7>C?gcļxѐ Z oo-08jہ x,`' ҔOcRlf~`jj".Nv+sM_]Zk g( UOPyεx%pUh2(@il0ݽQXxppx-NS( WO+轾 nFߢ3M<;z)FBZjciu/QoF 7R¥ ZFLF~#ȣߨ^<쩡ݛкvџ))ME>ώx4m#!-m!L;vv#~Y[đKmx9.[,UFS CVkZ +ߟrY٧IZd/ioi$%͝ب_ֶX3ܫhNU ZZgk=]=bbJS[wjU()*I =ώ:}-蹞lUj:1}MWm=̛ _ ¾,8{__m{_PVK^n3esw5ӫh#$-q=A̟> ,^I}P^J$qY~Q[ Xq9{#&T.^GVj__RKpn,b=`żY@^՝;z{paVKkQXj/)y TIc&F;FBG7wg ZZDG!x r_tƢ!}i/V=M/#nB8 XxЫ ^@CR<{䤭YCN)eKOSƟa $&g[i3.C6xrOc8TI;o hH6P&L{@q6[ Gzp^71j(l`J}]e6X☉#͕ ׈$AB1Vjh㭦IRsqFBjwQ_7Xk>y"N=MB0 ,C #o6MRc0|$)ف"1!ixY<B9mx `,tA>)5ػQ?jQ?cn>YZe Tisvh# GMމȇp:ԴVuږ8ɼH]C.5C!UV;F`mbBk LTMvPʍϤj?ԯ/Qr1NB`9s"s TYsz &9S%U԰> {<ؿSMxB|H\3@!U| k']$U+> |HHMLޢ?V9iD!-@x TIî%6Z*9X@HMW#?nN ,oe6?tQwڱ.]-y':mW0#!J82qFjH -`ѓ&M0u Uγmxϵ^-_\])@0Rt.8/?ٰCY]x}=sD3ojަЫNuS%U}ԤwHH>ڗjܷ_3gN q7[q2la*ArǓԖ+p8/RGM ]jacd(JhWko6ڎbj]i5Bj3+3!\j1UZLsLTv8HHmup<>gKMJj0@H%,W΃7R) ">c, xixј^ aܖ>H[i.UIHc U1=yW\=S*GR~)AF=`&2h`DzT󑓶J+?W+}C%P:|0H܆}-<;OC[~o.$~i}~HQ TvXΈr=b}$vizL4:ȰT|4~*!oXQR6Lk+#t/g lԁߖ[Jڶ_N$k*". xsxX7jRVbAAʯKҎU3)zSNN _'s?f)6X!%ssAkʱ>qƷb hg %n ~p1REGMHH=BJiy[<5 ǁJҖgKR*倳e~HUy)Ag,K)`Vw6bRR:qL#\rclK/$sh*$ 6덤 KԖc 3Z9=Ɣ=o>X Ώ"1 )a`SJJ6k(<c e{%kϊP+SL'TcMJWRm ŏ"w)qc ef꒵i?b7b('"2r%~HUS1\<(`1Wx9=8HY9m:X18bgD1u ~|H;K-Uep,, C1 RV.MR5άh,tWO8WC$ XRVsQS]3GJ|12 [vM :k#~tH30Rf-HYݺ-`I9%lIDTm\ S{]9gOڒMNCV\G*2JRŨ;Rҏ^ڽ̱mq1Eu?To3I)y^#jJw^Ńj^vvlB_⋌P4x>0$c>K†Aļ9s_VjTt0l#m>E-,,x,-W)سo&96RE XR.6bXw+)GAEvL)͞K4$p=Ũi_ѱOjb HY/+@θH9޼]Nԥ%n{ &zjT? Ty) s^ULlb,PiTf^<À] 62R^V7)S!nllS6~͝V}-=%* ʻ>G DnK<y&>LPy7'r=Hj 9V`[c"*^8HpcO8bnU`4JȪAƋ#1_\ XϘHPRgik(~G~0DAA_2p|J묭a2\NCr]M_0 ^T%e#vD^%xy-n}-E\3aS%yN!r_{ )sAw ڼp1pEAk~v<:`'ӭ^5 ArXOI驻T (dk)_\ PuA*BY]yB"l\ey hH*tbK)3 IKZ򹞋XjN n *n>k]X_d!ryBH ]*R 0(#'7 %es9??ښFC,ՁQPjARJ\Ρw K#jahgw;2$l*) %Xq5!U᢯6Re] |0[__64ch&_}iL8KEgҎ7 M/\`|.p,~`a=BR?xܐrQ8K XR2M8f ?`sgWS%" Ԉ 7R%$ N}?QL1|-эټwIZ%pvL3Hk>,ImgW7{E xPHx73RA @RS CC !\ȟ5IXR^ZxHл$Q[ŝ40 (>+ _C >BRt<,TrT {O/H+˟Pl6 I B)/VC<6a2~(XwV4gnXR ϱ5ǀHٻ?tw똤Eyxp{#WK qG%5],(0ӈH HZ])ג=K1j&G(FbM@)%I` XRg ʔ KZG(vP,<`[ Kn^ SJRsAʠ5xՅF`0&RbV tx:EaUE/{fi2;.IAwW8/tTxAGOoN?G}l L(n`Zv?pB8K_gI+ܗ #i?ޙ.) p$utc ~DžfՈEo3l/)I-U?aԅ^jxArA ΧX}DmZ@QLےbTXGd.^|xKHR{|ΕW_h] IJ`[G9{).y) 0X YA1]qp?p_k+J*Y@HI>^?gt.06Rn ,` ?);p pSF9ZXLBJPWjgQ|&)7! HjQt<| ؅W5 x W HIzYoVMGP Hjn`+\(dNW)F+IrS[|/a`K|ͻ0Hj{R,Q=\ (F}\WR)AgSG`IsnAR=|8$}G(vC$)s FBJ?]_u XRvύ6z ŨG[36-T9HzpW̞ú Xg큽=7CufzI$)ki^qk-) 0H*N` QZkk]/tnnsI^Gu't=7$ Z;{8^jB% IItRQS7[ϭ3 $_OQJ`7!]W"W,)Iy W AJA;KWG`IY{8k$I$^%9.^(`N|LJ%@$I}ֽp=FB*xN=gI?Q{٥4B)mw $Igc~dZ@G9K X?7)aK%݅K$IZ-`IpC U6$I\0>!9k} Xa IIS0H$I H ?1R.Чj:4~Rw@p$IrA*u}WjWFPJ$I➓/6#! LӾ+ X36x8J |+L;v$Io4301R20M I$-E}@,pS^ޟR[/s¹'0H$IKyfŸfVOπFT*a$I>He~VY/3R/)>d$I>28`Cjw,n@FU*9ttf$I~<;=/4RD~@ X-ѕzἱI$: ԍR a@b X{+Qxuq$IЛzo /~3\8ڒ4BN7$IҀj V]n18H$IYFBj3̵̚ja pp $Is/3R Ӻ-Yj+L;.0ŔI$Av? #!5"aʄj}UKmɽH$IjCYs?h$IDl843.v}m7UiI=&=0Lg0$I4: embe` eQbm0u? $IT!Sƍ'-sv)s#C0:XB2a w I$zbww{."pPzO =Ɔ\[ o($Iaw]`E).Kvi:L*#gР7[$IyGPI=@R 4yR~̮´cg I$I/<tPͽ hDgo 94Z^k盇΄8I56^W$I^0̜N?4*H`237}g+hxoq)SJ@p|` $I%>-hO0eO>\ԣNߌZD6R=K ~n($I$y3D>o4b#px2$yڪtzW~a $I~?x'BwwpH$IZݑnC㧄Pc_9sO gwJ=l1:mKB>Ab<4Lp$Ib o1ZQ@85b̍ S'F,Fe,^I$IjEdù{l4 8Ys_s Z8.x m"+{~?q,Z D!I$ϻ'|XhB)=…']M>5 rgotԎ 獽PH$IjIPhh)n#cÔqA'ug5qwU&rF|1E%I$%]!'3AFD/;Ck_`9 v!ٴtPV;x`'*bQa w I$Ix5 FC3D_~A_#O݆DvV?<qw+I$I{=Z8".#RIYyjǪ=fDl9%M,a8$I$Ywi[7ݍFe$s1ՋBVA?`]#!oz4zjLJo8$I$%@3jAa4(o ;p,,dya=F9ً[LSPH$IJYЉ+3> 5"39aZ<ñh!{TpBGkj}Sp $IlvF.F$I z< '\K*qq.f<2Y!S"-\I$IYwčjF$ w9 \ߪB.1v!Ʊ?+r:^!I$BϹB H"B;L'G[ 4U#5>੐)|#o0aڱ$I>}k&1`U#V?YsV x>{t1[I~D&(I$I/{H0fw"q"y%4 IXyE~M3 8XψL}qE$I[> nD?~sf ]o΁ cT6"?'_Ἣ $I>~.f|'!N?⟩0G KkXZE]ޡ;/&?k OۘH$IRۀwXӨ<7@PnS04aӶp.:@\IWQJ6sS%I$e5ڑv`3:x';wq_vpgHyXZ 3gЂ7{{EuԹn±}$I$8t;b|591nءQ"P6O5i }iR̈́%Q̄p!I䮢]O{H$IRϻ9s֧ a=`- aB\X0"+5"C1Hb?߮3x3&gşggl_hZ^,`5?ߎvĸ%̀M!OZC2#0x LJ0 Gw$I$I}<{Eb+y;iI,`ܚF:5ܛA8-O-|8K7s|#Z8a&><a&/VtbtLʌI$I$I$I$I$I$IRjDD%tEXtdate:create2022-05-31T04:40:26+00:00!Î%tEXtdate:modify2022-05-31T04:40:26+00:00|{2IENDB`Mini Shell

HOME


Mini Shell 1.0
DIR:/opt/alt/python38/lib64/python3.8/__pycache__/
Upload File :
Current File : //opt/alt/python38/lib64/python3.8/__pycache__/fractions.cpython-38.opt-2.pyc
U

��,a	_�@s�ddlmZddlZddlZddlZddlZddlZddgZdd�Zdd�Z	ej
jZej
j
Ze�dejejB�ZGd	d�dej�ZdS)
���DecimalN�Fraction�gcdcCsfddl}|�dtd�t|�tkr2t|�kr\nn&|p<|dkrPt�||�St�||�St||�S)Nrz6fractions.gcd() is deprecated. Use math.gcd() instead.�)�warnings�warn�DeprecationWarning�type�int�mathr�_gcd)�a�br�r�./opt/alt/python38/lib64/python3.8/fractions.pyrs� cCs|r|||}}q|S�Nr�rrrrrr
 sr
aC
    \A\s*                      # optional whitespace at the start, then
    (?P<sign>[-+]?)            # an optional sign, then
    (?=\d|\.\d)                # lookahead for digit or .digit
    (?P<num>\d*)               # numerator (possibly empty)
    (?:                        # followed by
       (?:/(?P<denom>\d+))?    # an optional denominator
    |                          # or
       (?:\.(?P<decimal>\d*))? # an optional fractional part
       (?:E(?P<exp>[-+]?\d+))? # and optional exponent
    )
    \s*\Z                      # and optional whitespace to finish
cs�eZdZdZdQdd��fdd�Zedd	��Zed
d��Zdd
�ZdRdd�Z	e
dd��Ze
dd��Zdd�Z
dd�Zdd�Zdd�Zeeej�\ZZdd�Zeeej�\ZZdd �Zeeej�\ZZd!d"�Zeeej�\ZZ d#d$�Z!ee!ej"�\Z#Z$d%d&�Z%ee%e&�\Z'Z(d'd(�Z)ee)ej*�\Z+Z,d)d*�Z-d+d,�Z.d-d.�Z/d/d0�Z0d1d2�Z1d3d4�Z2d5d6�Z3d7d8�Z4dSd9d:�Z5d;d<�Z6d=d>�Z7d?d@�Z8dAdB�Z9dCdD�Z:dEdF�Z;dGdH�Z<dIdJ�Z=dKdL�Z>dMdN�Z?dOdP�Z@�ZAS)Tr��
_numerator�_denominatorrNT��
_normalizecsRtt|��|�}|dk�rdt|�tkr6||_d|_|St|tj	�rV|j
|_|j|_|St|tt
f�rx|��\|_|_|St|t��rZt�|�}|dkr�td|��t|�d�p�d�}|�d�}|r�t|�}nvd}|�d�}|�rdt|�}||t|�}||9}|�d�}	|	�rBt|	�}	|	d	k�r4|d|	9}n|d|	9}|�d
�dk�rb|}ntd��nft|�tk�r�t|�k�r�nnn@t|tj	��r�t|tj	��r�|j
|j|j
|j}}ntd
��|d	k�r�td|��|�rBt|�tk�rt|�k�r(nnt�||�}
|d	k�r2|
}
n
t||�}
||
}||
}||_||_|S)N�z Invalid literal for Fraction: %rZnum�0�denom�decimal�
�exprZsign�-z2argument should be a string or a Rational instancez+both arguments should be Rational instanceszFraction(%s, 0))�superr�__new__r
rrr�
isinstance�numbers�Rational�	numerator�denominator�floatr�as_integer_ratio�str�_RATIONAL_FORMAT�match�
ValueError�group�len�	TypeError�ZeroDivisionErrorrrr
)�clsr%r&r�self�mrrZscaler�g��	__class__rrr!Tsx

�





$
�

�
$

zFraction.__new__cCsDt|tj�r||�St|t�s8td|j|t|�jf��||���S)Nz.%s.from_float() only takes floats, not %r (%s))r"r#�Integralr'r/�__name__r
r()r1�frrr�
from_float�s
�zFraction.from_floatcCsVddlm}t|tj�r&|t|��}n$t||�sJtd|j|t|�jf��||�	��S)Nrrz2%s.from_decimal() only takes Decimals, not %r (%s))
rrr"r#r7rr/r8r
r()r1Zdecrrrr�from_decimal�s
��zFraction.from_decimalcCs|j|jfSrr�r2rrrr(�szFraction.as_integer_ratio�@Bc
Cs�|dkrtd��|j|kr"t|�Sd\}}}}|j|j}}||}|||}	|	|krZq�||||||	f\}}}}||||}}q<|||}
t||
|||
|�}t||�}t||�t||�kr�|S|SdS)Nrz$max_denominator should be at least 1)rrrr)r,rrr�abs)
r2Zmax_denominatorZp0Zq0Zp1Zq1�n�drZq2�kZbound1Zbound2rrr�limit_denominator�s$ 

zFraction.limit_denominatorcCs|jSr)r�rrrrr%szFraction.numeratorcCs|jSr)rrCrrrr&szFraction.denominatorcCsd|jj|j|jfS)Nz
%s(%s, %s))r6r8rrr<rrr�__repr__"s�zFraction.__repr__cCs(|jdkrt|j�Sd|j|jfSdS)Nrz%s/%s)rr)rr<rrr�__str__'s

zFraction.__str__csT��fdd�}d�jd|_�j|_��fdd�}d�jd|_�j|_||fS)NcsPt|ttf�r�||�St|t�r0�t|�|�St|t�rH�t|�|�StSdSr)r"rrr'�complex�NotImplementedr��fallback_operator�monomorphic_operatorrr�forward~s


z-Fraction._operator_fallbacks.<locals>.forward�__csZt|tj�r�||�St|tj�r4�t|�t|��St|tj�rR�t|�t|��StSdSr)r"r#r$ZRealr'�ComplexrFrG�rrrHrr�reverse�s
z-Fraction._operator_fallbacks.<locals>.reverseZ__r)r8�__doc__)rJrIrKrOrrHr�_operator_fallbacks.sP	
zFraction._operator_fallbackscCs,|j|j}}t|j||j|||�Sr�r&rr%�rr�da�dbrrr�_add�s�z
Fraction._addcCs,|j|j}}t|j||j|||�SrrRrSrrr�_sub�s�z
Fraction._subcCst|j|j|j|j�Sr�rr%r&rrrr�_mul�sz
Fraction._mulcCst|j|j|j|j�SrrXrrrr�_div�s
�z
Fraction._divcCs|j|j|j|jSr�r%r&rrrr�	_floordiv�szFraction._floordivcCs:|j|j}}t|j|||j�\}}|t|||�fSr)r&�divmodr%r)rrrTrUZdivZn_modrrr�_divmod�szFraction._divmodcCs,|j|j}}t|j||j|||�SrrRrSrrr�_mod�sz
Fraction._modcCs�t|tj�r�|jdkr�|j}|dkr>t|j||j|dd�S|jdkrft|j||j|dd�St|j||j|dd�Sq�t|�t|�Snt|�|SdS)NrrFr)	r"r#r$r&r%rrrr')rrZpowerrrr�__pow__�s&

�

��zFraction.__pow__cCs\|jdkr|jdkr||jSt|tj�r<t|j|j�|S|jdkrP||jS|t|�S)Nrr)	rrr"r#r$rr%r&r'rNrrr�__rpow__�s


zFraction.__rpow__cCst|j|jdd�S�NFr�rrrrCrrr�__pos__�szFraction.__pos__cCst|j|jdd�SrbrcrCrrr�__neg__�szFraction.__neg__cCstt|j�|jdd�Srb)rr>rrrCrrr�__abs__�szFraction.__abs__cCs*|jdkr|j|jS|j|jSdS)NrrrCrrr�	__trunc__s
zFraction.__trunc__cCs|j|jSrr[rCrrr�	__floor__
szFraction.__floor__cCs|j|jSrr[rCrrr�__ceil__szFraction.__ceil__cCs�|dkrZt|j|j�\}}|d|jkr,|S|d|jkrB|dS|ddkrR|S|dSdt|�}|dkr�tt||�|�Stt||�|�SdS)Nrrrr)r]r%r&r>r�round)r2ZndigitsZfloorZ	remainder�shiftrrr�	__round__szFraction.__round__cCsPt|jtdt�}|st}nt|j�|t}|dkr:|n|}|dkrLdS|S)Nrr������)�powr�_PyHASH_MODULUS�_PyHASH_INFr>r)r2ZdinvZhash_�resultrrr�__hash__,szFraction.__hash__cCs�t|�tkr |j|ko|jdkSt|tj�rD|j|jkoB|j|jkSt|tj	�r`|j
dkr`|j}t|t�r�t
�|�s~t
�|�r�d|kS||�|�kSntSdS)Nrr�)r
rrrr"r#r$r%r&rM�imag�realr'r�isnan�isinfr:rGrrrr�__eq__Bs
�
zFraction.__eq__cCsht|tj�r&||j|j|j|j�St|t�r`t�	|�sDt�
|�rN|d|�S|||�|��SntSdS)Nrt)
r"r#r$rr&rr%r'rrwrxr:rG)r2�other�oprrr�_richcmpWs
�

zFraction._richcmpcCs|�|tj�Sr)r|�operator�ltrrrr�__lt__mszFraction.__lt__cCs|�|tj�Sr)r|r}�gtrrrr�__gt__qszFraction.__gt__cCs|�|tj�Sr)r|r}�lerrrr�__le__uszFraction.__le__cCs|�|tj�Sr)r|r}�gerrrr�__ge__yszFraction.__ge__cCs
t|j�Sr)�boolrrCrrr�__bool__}szFraction.__bool__cCs|jt|�ffSr)r6r)r<rrr�
__reduce__�szFraction.__reduce__cCs t|�tkr|S|�|j|j�Sr�r
rr6rrr<rrr�__copy__�szFraction.__copy__cCs t|�tkr|S|�|j|j�Srr�)r2Zmemorrr�__deepcopy__�szFraction.__deepcopy__)rN)r=)N)Br8�
__module__�__qualname__�	__slots__r!�classmethodr:r;r(rB�propertyr%r&rDrErQrVr}�add�__add__�__radd__rW�sub�__sub__�__rsub__rY�mul�__mul__�__rmul__rZ�truediv�__truediv__�__rtruediv__r\�floordiv�__floordiv__�
__rfloordiv__r^r]�
__divmod__�__rdivmod__r_�mod�__mod__�__rmod__r`rardrerfrgrhrirlrsryr|rr�r�r�r�r�r�r��
__classcell__rrr5rr<sbm



7

k
)rrrr#r}�re�sys�__all__rr
�	hash_info�modulusrp�infrq�compile�VERBOSE�
IGNORECASEr*r$rrrrr�<module>s
�