U d-@sdZddlZddlmZddlmZddlmZddlm Z ddl m Z m Z m Z mZmZd d gZd Zd ZeeZeZd dZGdddeZddZddZd!ddZd"ddZd#ddZd$dd ZddZd d Z dS)%aConverts cubic bezier curves to quadratic splines. Conversion is performed such that the quadratic splines keep the same end-curve tangents as the original cubics. The approach is iterative, increasing the number of segments for a spline until the error gets below a bound. Respective curves from multiple fonts will be converted at once to ensure that the resulting splines are interpolation-compatible. N) AbstractPen)PointToSegmentPen)ReverseContourPen)curves_to_quadratic)UnequalZipLengthsErrorIncompatibleSegmentNumberErrorIncompatibleSegmentTypesErrorIncompatibleGlyphsErrorIncompatibleFontsErrorfonts_to_quadraticfont_to_quadraticgMbP?z&com.github.googlei18n.cu2qu.curve_typecGs.ttdd|Ddkr"t|tt|S)zyEnsure each argument to zip has the same length. Also make sure a list is returned for python 2/3 compatibility. css|]}t|VqdSNlen).0arT/data/tchu/MolecularDynamics/venv/lib/python3.8/site-packages/fontTools/cu2qu/ufo.py <szzip..r)rsetrlist_zip)argsrrrzip7src@sXeZdZdZddZddZddZdd Zd d Zd d Z ddZ ddZ ddZ dS)GetSegmentsPenzPen to collect segments into lists of points for conversion. Curves always include their initial on-curve point, so some points are duplicated between segments. cCsd|_g|_dSr)_last_ptsegmentsselfrrr__init__HszGetSegmentsPen.__init__cGs&|dkr|d|_|j||fdS)N)movelineqcurvecurve)rrappend)rtagrrrr _add_segmentLs zGetSegmentsPen._add_segmentcCs|d|dS)Nr!r(rptrrrmoveToQszGetSegmentsPen.moveTocCs|d|dS)Nr"r)r*rrrlineToTszGetSegmentsPen.lineTocGs|jd|jf|dS)Nr#r(rrZpointsrrrqCurveToWszGetSegmentsPen.qCurveTocGs|jd|jf|dS)Nr$r.r/rrrcurveToZszGetSegmentsPen.curveTocCs|ddS)Ncloser)rrrr closePath]szGetSegmentsPen.closePathcCs|ddS)Nendr)rrrrendPath`szGetSegmentsPen.endPathcCsdSrr)rZ glyphNameZtransformationrrr addComponentcszGetSegmentsPen.addComponentN) __name__ __module__ __qualname____doc__r r(r,r-r0r1r3r5r6rrrrrAsrcCs"t}t|dd}|||jS)z6Get a glyph's segments as extracted by GetSegmentsPen.T)ZoutputImpliedClosingLine)rrZ drawPointsr)glyphpenZpointPenrrr _get_segmentsgs  r=cCs||}|rt|}|D]\}}|dkr<|j|q |dkrP|j|q |dkrl|j|ddq |dkr|j|ddq |dkr|q |dkr|q t d |q dS) z=Draw segments as extracted by GetSegmentsPen back to a glyph.r!r"r$rNr#r2r4zUnhandled segment type "%s") Z clearContoursZgetPenrr,r-r1r0r3r5AssertionError)r;rreverse_directionr<r'rrrr _set_segmentszs$     r@Tcstdd|Dstdtdd|D||}t|dtfdd|dd Dsbtd td }||dd||<|sd krd d|DSdd|DSd S)z2Return quadratic approximations of cubic segments.css|]}|ddkVqdS)rr$Nrrsrrrrsz)_segments_to_quadratic..zNon-cubic given to convertcSsg|] }|dqS)rrrArrr sz*_segments_to_quadratic..rc3s|]}t|kVqdSrrrAnrrrsrNzConverted incompatiblycSsg|] }d|fqS)r#rrprrrrCscSsg|] }d|fqS)r$rrHrrrrCs)allr>rrstrget)rmax_errstats all_quadraticZ new_pointsZ spline_lengthrrDr_segments_to_quadratics &  rPcsztdd|D}Wntk r2t|YnXt|s@dS|}g}i}t|D]z\} } | ddtfdd| ddDsd d| D|| <n*d krt| |||} |s| | krd }| } || qT|rt|} t|| D]\} } t| | |q|rt ||d |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. cSsg|] }t|qSr)r=)rgrrrrCsz(_glyphs_to_quadratic..Frc3s|]}|dkVqdS)rNrrAr'rrrsz'_glyphs_to_quadratic..rNcSsg|] }|dqS)rrrArrrrCsr$T)r) rrrany enumeraterJrPr&r@r )glyphsrMr?rNrOZsegments_by_locationZglyphs_modifiedZnew_segments_by_locationZ incompatibleir new_segmentsZnew_segments_by_glyphr;rrRr_glyphs_to_quadratics>    rXFcCs^|dkr i}|std}t|ttfr,|}n|gt|}t|t|ksNtt|||||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>rX)rUrMr?rNrO max_errorsrrrglyphs_to_quadratics r]c sf|rjdd|D}t|dkrTtt|} | dkr@tddS| dkrJqjt| nt|dkrjtdd krvir|rtd s|stt |t t frt|t|kst |} n|r|gt|} t t t frt|tkst d d t |D} nrfd d |D} d} i} tjdd|DD]} g}g}t || D],\}}| |krR||| ||qRz| t||||O} Wn6tk r}zt||| | <W5d }~XYnXq<| rt| | r|rt}tddfdd|D|rb|D]:}|jtd} |rBdnd}| |kr&||jt<d} q&| S)aConvert the curves of a collection of fonts to quadratic. All curves will be converted to quadratic at once, ensuring interpolation compatibility. If this is not required, calling fonts_to_quadratic with one font at a time may yield slightly more optimized results. Return True if fonts were modified, else return False. By default, cu2qu stores the curve type in the fonts' lib, under a private key "com.github.googlei18n.cu2qu.curve_type", and will not try to convert them again if the curve type is already set to "quadratic". Setting 'remember_curve_type' to False disables this optimization. Raises IncompatibleFontsError if same-named glyphs from different fonts have non-interpolatable outlines. cSsh|]}|jtdqS)cubic)librLCURVE_TYPE_LIB_KEYrfrrr sz%fonts_to_quadratic..r) quadraticmixedz%Curves already converted to quadraticFr^z'fonts may contain different curve typesNz4Only one of max_err and max_err_em can be specified.cSsg|]\}}|jj|qSrinfoZ unitsPerEm)rrberrrrC'sz&fonts_to_quadratic..csg|]}|jjqSrrfra) max_err_emrrrC)scss|]}|VqdSr)keysrarrrr-sz%fonts_to_quadratic..zNew spline lengths: %sz, c3s|]}d||fVqdS)z%s: %dNr)rl)rNrrrCsrdreT)rnextiterloggerrgNotImplementedErrorwarning TypeErrorrYrZrr[r>rrunionr&rXr errorr sortedrjjoinr_rLr`)ZfontsrirMr?rNZ dump_statsZremember_curve_typerOZ curve_typesZ curve_typer\modifiedZ glyph_errorsnamerUZcur_max_errorsfontrsexcZspline_lengthsZnew_curve_typer)rirNrr s             cKst|gf|S)zConvenience wrapper around glyphs_to_quadratic, for just one glyph. Return True if the glyph was modified, else return False. )r])r;kwargsrrrglyph_to_quadraticPsr{cKst|gf|S)zConvenience wrapper around fonts_to_quadratic, for just one font. Return True if the font was modified, else return False. )r )rxrzrrrr Xs)T)T)NFNT)NNFNFTT)!r:loggingZfontTools.pens.basePenrZfontTools.pens.pointPenrZ fontTools.pens.reverseContourPenrrerrorsrrr r r __all__rYr` getLoggerr7rnrrrr=r@rPrXr]r r{r rrrrs@        &  + ! c