<`,dZddlZddlmZddlmZddlmZddlm Z ddl m Z m Z m Z mZmZd d gZd Zd ZejeZeZd ZGddeZdZdZdZdZ ddZ ddZdZdZ dS)aConverts cubic bezier curves to quadratic splines. Conversion is performed such that the quadratic splines keep the same end-curve tangents as the original cubics. The approach is iterative, increasing the number of segments for a spline until the error gets below a bound. Respective curves from multiple fonts will be converted at once to ensure that the resulting splines are interpolation-compatible. N) AbstractPen)PointToSegmentPen)ReverseContourPen)curves_to_quadratic)UnequalZipLengthsErrorIncompatibleSegmentNumberErrorIncompatibleSegmentTypesErrorIncompatibleGlyphsErrorIncompatibleFontsErrorfonts_to_quadraticfont_to_quadraticgMbP?z&com.github.googlei18n.cu2qu.curve_typecttd|Ddkr t|tt |S)zyEnsure each argument to zip has the same length. Also make sure a list is returned for python 2/3 compatibility. c34K|]}t|VdSNlen).0as 3lib/python3.11/site-packages/fontTools/cu2qu/ufo.py zzip..7s($$!s1vv$$$$$$r)rsetrlist_zip)argss rzipr2sK  3$$t$$$ $ $%%**$d++ d  rcHeZdZdZdZdZdZdZdZdZ dZ d Z d Z d S) GetSegmentsPenzPen to collect segments into lists of points for conversion. Curves always include their initial on-curve point, so some points are duplicated between segments. c"d|_g|_dSr)_last_ptsegmentsselfs r__init__zGetSegmentsPen.__init__Cs  rc`|dvr |d|_|j||fdS)N)movelineqcurvecurve)r!r"append)r$tagrs r _add_segmentzGetSegmentsPen._add_segmentGs9 5 5 5 HDM c4[)))))rc2|d|dS)Nr'r.r$pts rmoveTozGetSegmentsPen.moveToL &"%%%%%rc2|d|dS)Nr(r0r1s rlineTozGetSegmentsPen.lineToOr4rc.|jd|jg|RdS)Nr)r.r!r$pointss rqCurveTozGetSegmentsPen.qCurveToRs'(DM;F;;;;;;rc.|jd|jg|RdS)Nr*r8r9s rcurveTozGetSegmentsPen.curveToUs''4=:6::::::rc0|ddS)Ncloser0r#s r closePathzGetSegmentsPen.closePathXs '"""""rc0|ddS)Nendr0r#s rendPathzGetSegmentsPen.endPath[s %     rcdSr)r$ glyphNametransformations r addComponentzGetSegmentsPen.addComponent^s rN) __name__ __module__ __qualname____doc__r%r.r3r6r;r=r@rCrHrErrrr<s *** &&&&&&<<<;;;###!!!     rrcxt}t|d}|||jS)z6Get a glyph's segments as extracted by GetSegmentsPen.T)outputImpliedClosingLine)rr drawPointsr")glyphpenpointPens r _get_segmentsrSbs?   C!tDDDH X <rc||}|rt|}|D]\}}|dkr |j||dkr |j|'|dkr|j|dd@|dkr|j|ddY|dkr|t|dkr|td |zdS) z=Draw segments as extracted by GetSegmentsPen back to a glyph.r'r(r*rNr)r?rBzUnhandled segment type "%s") clearContoursgetPenrr3r6r=r;r@rCAssertionError)rPr"reverse_directionrQr-rs r _set_segmentsrYus  ,,..C%$$FF T &== CJ    F]] CJ    G^^ CKabb " " " H__ CL$qrr( # # # G^^ MMOOOO E\\ KKMMMM !>!DEE EFFrcvtd|Ds Jdtd|D|}t|dtfd|ddDs Jdtd z }||ddz||<d |DS) z2Return quadratic approximations of cubic segments.c3.K|]}|ddkVdS)rr*NrErss rrz)_segments_to_quadratic..s*111qtw111111rzNon-cubic given to convertcg|] }|d S)rrEr\s r z*_segments_to_quadratic..s%=%=%=qad%=%=%=rrc3>K|]}t|kVdSrr)rr]ns rrz)_segments_to_quadratic..s-33qs1vv{333333rrNzConverted incompatiblycg|]}d|fS)r)rE)rps rr_z*_segments_to_quadratic..s . . .aXqM . . .r)allrrstrget)r"max_errstats new_points spline_lengthras @r_segments_to_quadraticrls 11111 1 1OO3OOOO$%=%=H%=%=%=wGGJ JqMA 3333JqrrN333 3 3MM5MMMMAJJM 99]A66:E- . .: . . ..rc, td|D}n#t$rt|wxYwt|sdS|}g}i}t |D]t\}} | dd t fd| ddDsd| D||<n dkrt | ||} d }|| u|r0t|} t|| D]\} } t| | ||rt|| |S) zDo the actual conversion of a set of compatible glyphs, after arguments have been set up. Return True if the glyphs were modified, else return False. c,g|]}t|SrE)rS)rgs rr_z(_glyphs_to_quadratic..s $F$F$F!]1%5%5$F$F$FrFrc30K|]}|dkVdS)rNrE)rr]r-s rrz'_glyphs_to_quadratic..s+5511Q43;555555rrNcg|] }|d S)rrEr\s rr_z(_glyphs_to_quadratic..s666qt666rr*T)r") rrr any enumeratererlr,rYr )glyphsrhrXrisegments_by_locationglyphs_modifiednew_segments_by_location incompatibleir"new_segments_by_glyphrP new_segmentsr-s @r_glyphs_to_quadraticr|s5"$F$Fv$F$F$FG !555,V4445 # $ $u(O!L !56622 8qk!n5555 55555 #66X666LOO G^^-hGGH"O ''1111B #%= >#&v/D#E#E B B E< %/@ A A A AK+F\JJJJ s1Fc|i}|s tdz}t|ttfr|}n|gt |z}t |t |ksJt ||||S)aConvert the curves of a set of compatible of glyphs to quadratic. All curves will be converted to quadratic at once, ensuring interpolation compatibility. If this is not required, calling glyphs_to_quadratic with one glyph at a time may yield slightly more optimized results. Return True if glyphs were modified, else return False. Raises IncompatibleGlyphsError if glyphs have non-interpolatable outlines. Ni)DEFAULT_MAX_ERR isinstancertuplerr|)rtrhrXri max_errorss rglyphs_to_quadraticrs } )!D('D%=))- YV, z??c&kk ) ) ) )  4Eu M MMrTc|rd|D}t|dkrTtt|}|dkrtddS|dkrnz%fonts_to_quadratic..s)MMM!quyy!3W==MMMrr quadraticz%Curves already converted to quadraticFrz'fonts may contain different curve typesNz4Only one of max_err and max_err_em can be specified.c2g|]\}}|jj|zSrEinfo unitsPerEm)rres rr_z&fonts_to_quadratic..s6:::!Qf'!+:::rc.g|]}|jjzSrEr)rr max_err_ems rr_z&fonts_to_quadratic..s#DDDaf'*4DDDrc3>K|]}|VdSr)keysrs rrz%fonts_to_quadratic..s*661affhh666666rzNew spline lengths: %sz, c32K|]}d||fzVdS)z%s: %dNrE)rlris rrz%fonts_to_quadratic..+sI:F:F12H58},:F:F:F:F:F:FrT)rnextiterloggerrNotImplementedErrorwarning TypeErrorr~rrrrrunionr,r|r errorr sortedrjoinrrgr)fontsrrhrXri dump_statsremember_curve_type curve_types curve_typermodified glyph_errorsnamertcur_max_errorsfontrexcspline_lengthss ` ` rr r s( FMMuMMM {  q d;//00J[(( CDDDuw&&)*555    ! ! NND E E E }PgPNOOO %'%$ 'D%=)),7||s5zz)))) ,YU+ *tUm,,E5zzS__,,,,::"%eZ"8"8::: EDDDDeDDD HL 666667 % %uj11 - -KD%t|| d4j)))%%e,,, % ,(95BB BHH& % % % LL   !$L       %3$\222HJH -- , :F:F:F:F6D:F:F:F1F1FG H H H   D&8'BBJ[((/:+, Os;H IH??Ic t|gfi|S)zConvenience wrapper around glyphs_to_quadratic, for just one glyph. Return True if the glyph was modified, else return False. )r)rPkwargss rglyph_to_quadraticr7s w 1 1& 1 11rc t|gfi|S)zConvenience wrapper around fonts_to_quadratic, for just one font. Return True if the font was modified, else return False. )r )rrs rrr?s tf / / / //r)NFN)NNFNFT)!rLloggingfontTools.pens.basePenrfontTools.pens.pointPenr fontTools.pens.reverseContourPenrrerrorsrr r r r __all__r~r getLoggerrIrrrrrSrYrlr|rr rrrErrrs ......555555>>>>>>!!!!!! !4 5 =  8 $ $ # # # # # [# # # L&FFF0 / / /###N>BNNNN:AF:>VVVVr22200000r