B d,@sdZddlZddlmZddlmZddlmZddlm Z ddl m Z m Z m Z mZmZd d gZd Zd ZeeZeZd dZGdddeZddZddZddZddZd!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. 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Return True if the glyphs were modified, else return False. cSsg|] }t|qSr)r7)rgrrrr<sz(_glyphs_to_quadratic..Frc3s|]}|dkVqdS)rNr)rr;)r$rrrsz'_glyphs_to_quadratic..rNcSsg|] }|dqS)rr)rr;rrrr<sr!T)r) rrrany enumerater@rEr#r:r ) glyphsrCr9rDZsegments_by_locationZglyphs_modifiedZnew_segments_by_locationZ incompatibleirZnew_segments_by_glyphr5 new_segmentsr)r$r_glyphs_to_quadratics0   rLFcCs\|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 isinstancertuplerr8rL)rIrCr9rD max_errorsrrrglyphs_to_quadratics rQTc sb|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} xtjdd|DD]} g} g}x:t || D],\}}| |krV| || ||qVWy| t| ||O} Wn6tk r}zt||| | <Wd d }~XYnXq>W| rt| | r"|r"t}tddfdd|D|r^x4|D],}|jtd}|dkr.d|jt<d} q.W| 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. 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