h7@ ^SSKr\RrSSKrSSKJr J r SS/r Sr \ "S5r\R\R \R""\R$5\R&"\R(\R(S 9S 5555r\R\R \R&"\R(\R(\R(\R(S 9\R&"\R(\R(\R(\R(S 9S 5555r\R\R \R&"\R(\R(\R(\R(S9\R&"\R(\R(\R(\R(S 9S5555r\R\R \R&"\R(\R(\R(\R(S9S555r\R&"\R(\R(\R(\R(\R2S9\R&"\R(\R(\R(\R(S 9\R&"\R$\R$\R$\R2S9\R&"\R(\R(\R(\R(S9S5555r\R\R \R&"\R(\R(\R(\R(S9\R&"\R(\R(S9S5555r\R\R \R&"\R(\R(\R(\R(S9\R&"\R(\R(\R(\R(S9S5555r\R\R \R""\R(5\R&"\R$\R(\R(\R(\R(S9\R&"\R(\R(S9S55555r\R\R \R""\R(5\R&"\R(\R(\R(\R(S 9\R&"\R(\R(\R(\R$S9S55555r\R\R""\R25\R&"\R$\R(\R(\R(\R(S9\R&"\R(\R(S9S5555r\R\R \R&"\R$S 9\R&"\R(\R(\R(\R(\R(S!9S"5555r \R\R&"\R2\R$S#9\R&"\R2S$9\R&"\R2S%9\R&"\R(\R(\R(\R(S&9\R&"\R(\R(\R(\R(\R(S'9S(555555r!\R&"\R$S)9\R&"\R2S*9\R&"\R2S%9S.S+j555r"\R&"\R2\R2\R2S,9\R&"\R2S%9S.S-j55r#g!\\4a SSKJr GNf=f)/N)cython)ErrorApproxNotFoundErrorcurve_to_quadraticcurves_to_quadraticdNaNv1v2c:XR5-R$)zReturn the dot product of two vectors. Args: v1 (complex): First vector. v2 (complex): Second vector. Returns: double: Dot product. ) conjugaterealr s G/var/www/html/env/lib/python3.13/site-packages/fontTools/cu2qu/cu2qu.pydotr%s   % %%)abcd)_1_2_3_4cFUnUS- U-nX-S- U-nX-U-U-nXEXg4$N@)rrrrrrrrs rcalc_cubic_pointsr 6s? B c'QB %3 B QB 2>r)p0p1p2p3cDX- S-nX!- S-U- nUnX6- U- U- nXuXF4$rr)r!r"r#r$rrrrs rcalc_cubic_parametersr&Ds= CA C!A A  QA :rc US:Xa[[XX#55$US:Xa[[XX#55$US:XaL[XX#5upV[[USUSUSUS5[USUSUSUS5-5$US:XaL[XX#5upV[[USUSUSUS5[USUSUSUS5-5$[XX#U5$)aSplit a cubic Bezier into n equal parts. Splits the curve into `n` equal parts by curve time. (t=0..1/n, t=1/n..2/n, ...) Args: p0 (complex): Start point of curve. p1 (complex): First handle of curve. p2 (complex): Second handle of curve. p3 (complex): End point of curve. Returns: An iterator yielding the control points (four complex values) of the subcurves. rr)itersplit_cubic_into_twosplit_cubic_into_three_split_cubic_into_n_gen)r!r"r#r$nrrs rsplit_cubic_into_n_iterr1Rs, Av(899Av*22:;;Av#BB3 1qtQqT1Q4 8"1Q41qtQqT: ;   Av#BB3 "1Q41qtQqT :$QqT1Q41qt< =  #221 55r)r!r"r#r$r0)dtdelta_2delta_3i)a1b1c1d1c## [XX#5upVpxSU- n X-n X-n [U5HXn X-n X-nX[-nSU-U -U-U -nSU-U -U-SU-U--U -nX]-U-Xn--X}--U-n[UUUU5v MZ g7f)Nrr)r()r&ranger )r!r"r#r$r0rrrrr2r3r4r5t1t1_2r6r7r8r9s rr/r/|s'rr6JA! QBgGlG 1X Vw [!ebj1n '!ebj1nq1ut|+r 1 Vd]QX % . 2BB//sBB)midderiv3cpUSX---U-S-nX2-U- U- S-nXU-S-XE- U4XDU-X#-S-U44$)adSplit a cubic Bezier into two equal parts. Splits the curve into two equal parts at t = 0.5 Args: p0 (complex): Start point of curve. p1 (complex): First handle of curve. p2 (complex): Second handle of curve. p3 (complex): End point of curve. Returns: tuple: Two cubic Beziers (each expressed as a tuple of four complex values). r)??r)r!r"r#r$r>r?s rr-r-se* RW  "e +CglR5 (F 2g_clC0 FlRWOR0 r)mid1deriv1mid2deriv2cSU-SU--SU--U-S-nUSU--SU-- S-nUSU--SU--SU--S-nSU-SU-- U- S-nUSU-U-S- XE- U4XDU-Xg- U4XfU-USU--S- U44$) avSplit a cubic Bezier into three equal parts. Splits the curve into three equal parts at t = 1/3 and t = 2/3 Args: p0 (complex): Start point of curve. p1 (complex): First handle of curve. p2 (complex): Second handle of curve. p3 (complex): End point of curve. Returns: tuple: Three cubic Beziers (each expressed as a tuple of four complex values).  r+gh/?r)r*r(rr)r!r"r#r$rCrDrErFs rr.r.s: FR"W q2v % *v 6D1r6kAF"v .F RK"r' !AF *v 6D"fq2vo"v .F a"frkS $-6 f}dmT2 f}rAF{c126 r)tr!r"r#r$)_p1_p2c>XU- S--nXCU- S--nXVU- U--$)aTApproximate a cubic Bezier using a quadratic one. Args: t (double): Position of control point. p0 (complex): Start point of curve. p1 (complex): First handle of curve. p2 (complex): Second handle of curve. p3 (complex): End point of curve. Returns: complex: Location of candidate control point on quadratic curve. g?r)rJr!r"r#r$rKrLs rcubic_approx_controlrNs50 R3 C R3 C )q  r)abcdphcX- nX2- nUS-n[X`U- 5[Xe5- nX%U--$![a [[[5s$f=f)aUCalculate the intersection of two lines. Args: a (complex): Start point of first line. b (complex): End point of first line. c (complex): Start point of second line. d (complex): End point of second line. Returns: complex: Location of intersection if one present, ``complex(NaN,NaN)`` if no intersection was found. y?)rZeroDivisionErrorcomplexNAN)rrrrrOrPrQrRs rcalc_intersectrWsb$ B B RA! q5MCJ & Av: !sC  !s0AA) tolerancer!r"r#r$c[U5U::a[U5U::agUSX---U-S-n[U5U:agX2-U- U- S-n[XU-S-XV- XT5=(a [XUU-X#-S-X45$)a\Check if a cubic Bezier lies within a given distance of the origin. "Origin" means *the* origin (0,0), not the start of the curve. Note that no checks are made on the start and end positions of the curve; this function only checks the inside of the curve. Args: p0 (complex): Start point of curve. p1 (complex): First handle of curve. p2 (complex): Second handle of curve. p3 (complex): End point of curve. tolerance (double): Distance from origin. Returns: bool: True if the cubic Bezier ``p`` entirely lies within a distance ``tolerance`` of the origin, False otherwise. Tr)rAFrB)abscubic_farthest_fit_inside)r!r"r#r$rXr>r?s rr[r[s: 2w)B9 4 RW  "e +C 3x)glR5 (F $ "WOS\3  W #Cv3 VWr)rX)q1c0r8c2c3c[USUSUSUS5n[R"UR5(agUSnUSnX2U- S--nXBU- S--n[ SXPS- X`S- SU5(dgX2U4$)aApproximate a cubic Bezier with a single quadratic within a given tolerance. Args: cubic (sequence): Four complex numbers representing control points of the cubic Bezier curve. tolerance (double): Permitted deviation from the original curve. Returns: Three complex numbers representing control points of the quadratic curve if it fits within the given tolerance, or ``None`` if no suitable curve could be calculated. rrr(r)NUUUUUU?)rWmathisnanimagr[)cubicrXr\r]r_r8r^s rcubic_approx_quadraticrfBs0 a%(E!HeAh ?B zz"'' qB qB Bw5! !B Bw5! !B $Q1X r!H}a S S 2:r)r0rX)r5) all_quadratic)r]r8r^r_)q0r\next_q1q2r9c fUS:Xa [X5$US:XaUS:XaU$[USUSUSUSU5n[U5n[SUSUSUSUS5nUSnSnUSU/n [ SUS-5Hn UuppUnUnX:aE[U5n[XS- - USUSUSUS5nU R U5 UU-S-nOUnUnX~- n[ U5U:d.[UUUU- S--U - UUU- S--U - UU5(aM g U R US5 U $) aApproximate a cubic Bezier curve with a spline of n quadratics. Args: cubic (sequence): Four complex numbers representing control points of the cubic Bezier curve. n (int): Number of quadratic Bezier curves in the spline. tolerance (double): Permitted deviation from the original curve. Returns: A list of ``n+2`` complex numbers, representing control points of the quadratic spline if it fits within the given tolerance, or ``None`` if no suitable spline could be calculated. rr(Frr)yrBraN)rfr1nextrNr;appendrZr[)rer0rXrgcubics next_cubicrirjr9spliner5r]r8r^r_rhr\d0s rcubic_approx_splinerrfs: Av%e77Av-5( $U1XuQxq58Q OFfJ" :a=*Q-A 1 G qB BAh F 1a!e_#  5fJ*U Z]JqM:a=*UV-G MM' "w,#%BB W r7Y &?  "r'e$ $r ) "r'e$ $r )   ' ' 9: MM%( Mr)max_err)r0cUVs/sH n[U6PM nn[S[S-5H<n[XX5nUcMUVs/sHofRUR 4PM sns $ [ U5es snfs snf)aApproximate a cubic Bezier curve with a spline of n quadratics. Args: cubic (sequence): Four 2D tuples representing control points of the cubic Bezier curve. max_err (double): Permitted deviation from the original curve. all_quadratic (bool): If True (default) returned value is a quadratic spline. If False, it's either a single quadratic curve or a single cubic curve. Returns: If all_quadratic is True: A list of 2D tuples, representing control points of the quadratic spline if it fits within the given tolerance, or ``None`` if no suitable spline could be calculated. If all_quadratic is False: Either a quadratic curve (if length of output is 3), or a cubic curve (if length of output is 4). r)rUr;MAX_Nrrrrdr)curversrgrQr0rpss rrrsz0#( (%QWa[%E ( 1eai $UwF  .45fVVQVV$f5 5 ! e $$ ) 6s A7!A<)llast_ir5c UVVs/sHo3Vs/sH n[U6PM snPM nnn[U5[U5:Xde[U5nS/U-nS=pxSn [XXUU5n U cU [:XaOVU S- n UnM*XU'US-U-nX:Xa:UV V s/sH*oV s/sHoRU R 4PM sn PM, sn n $Mv[ U5es snfs snnfs sn fs sn n f)aReturn quadratic Bezier splines approximating the input cubic Beziers. Args: curves: A sequence of *n* curves, each curve being a sequence of four 2D tuples. max_errors: A sequence of *n* floats representing the maximum permissible deviation from each of the cubic Bezier curves. all_quadratic (bool): If True (default) returned values are a quadratic spline. If False, they are either a single quadratic curve or a single cubic curve. Example:: >>> curves_to_quadratic( [ ... [ (50,50), (100,100), (150,100), (200,50) ], ... [ (75,50), (120,100), (150,75), (200,60) ] ... ], [1,1] ) [[(50.0, 50.0), (75.0, 75.0), (125.0, 91.66666666666666), (175.0, 75.0), (200.0, 50.0)], [(75.0, 50.0), (97.5, 75.0), (135.41666666666666, 82.08333333333333), (175.0, 67.5), (200.0, 60.0)]] The returned splines have "implied oncurve points" suitable for use in TrueType ``glif`` outlines - i.e. in the first spline returned above, the first quadratic segment runs from (50,50) to ( (75 + 125)/2 , (120 + 91.666..)/2 ) = (100, 83.333...). Returns: If all_quadratic is True, a list of splines, each spline being a list of 2D tuples. If all_quadratic is False, a list of curves, each curve being a quadratic (length 3), or cubic (length 4). Raises: fontTools.cu2qu.Errors.ApproxNotFoundError: if no suitable approximation can be found for all curves with the given parameters. Nrr)rUlenrrrurrdr) curves max_errorsrgrvrQrxsplinesryr5r0rprws rrrsN9? ?uE*Eqw{E*F ? z?c&k )) ) F AfqjGNF A $VYa=-P >Ez FAF  UaK ;ELMW6v6v!ffaff%v6WM M  f %%++ ?&7Ms- C"C C" C-$!C( C-C"(C-)T)$rAttributeError ImportErrorfontTools.misccompiledCOMPILEDrberrorsr Cu2QuErrorr__all__rufloatrVcfuncinlinereturnsdoublelocalsrUrr r&r1intr/r-r.rNrWr[rfrrrrrrrrs$& ?? < !6 7  El &..V^^4 &5 &6>>V^^v~~V ~~&..V^^W  ~~&..V^^6>>V^^v~~VW  ~~&..V^^"6 "6J ~~ ~~ ~~ ~~ jj 6>>V^^v~~V }}fmmV]]fjj ~~&..V^^ 0W 0  ~~&..V^^6>>&..9: . ~~ ~~ ~~ ~~    >>  >>    4 mm ~~ ~~ ~~ ~~ 6>>v~~6!7 !$6>>V^^v~~V&..V^^v~~WXW  . mm ~~ ~~ ~~ ~~ 6>>&..9W:W@' ~~ ~~ ~~ ~~ ~~ (4v}}5VZZ( ~~&..V^^ ~~ ~~ NN ~~ ~~ =)6=@v}}%VZZ(%)&%@FJJ&**=VZZ(:&)>:&K  $&%%&sbb,+b,