h@SSKJr SSKJrJr SSKrSSKJr SSKJ r J r SSK J r /SQr SS jrSS jrSS jrSS jrSS jrSSjrSSjrSSjrSSjrS S!SjjrS"S#SjjrS$S%SjjrS&S'SjjrS(SjrS&S'SjjrS)Sjrg)*) annotations)IterableSequenceN)Vec3)#tangents_cubic_bezier_interpolationcubic_bezier_interpolation)circle_radius_3p)estimate_tangentsestimate_end_tangent_magnitudecreate_t_vector chord_lengthcUS:Xa[[U55$US;a [U5$US;a [U5$US:Xa [ U5$[ SR U55e)Nuniform)distancechord) centripetal sqrt_chordarczUnknown method: {})uniform_t_vectorlendistance_t_vectorcentripetal_t_vector arc_t_vector ValueErrorformat) fit_pointsmethods H/var/www/html/env/lib/python3.13/site-packages/ezdxf/math/parametrize.pyr r sj J00 ( ( ,, 0 0#J// 5J''-44V<==cd[US- 5n[U5Vs/sHo"U- PM sn$s snfNr)floatrange)lengthnts rrr"s. fqjA = )=aE= )) )s-c<[[[U555$N)_normalize_distanceslistlinear_distances)rs rrr's %5j%A B CCr c [XSS5VVs/sH*up[R"URU55PM, nnn[ U5$s snnfr")zipmathsqrtrr*)rp1p2 distancess rrr+sO14ZAB1P1Pvr "++b/"1P **s1Ac[U5n[U5S::a/$S/nSnUSSHnX4- nURX1- 5 M URS5 U$)Ng-q=?)sumabsappend)r3 total_lengthparamssds rr*r*2sby>L <E! %F A s^  a&' MM# Mr c#Z# SnUHnUcUnM URU5v UnM! g7fr)r)pointsprevps rr,r,?s5 D  <D mmA s)+c*[[U55$r))r8r,)rAs rrrIs ' ((r c@[[U55n[U5$r))r+ arc_distancesr*)rr3s rrrMs]:./I  **r c#^# UmSU4Sjjn[U"55n[U5S:XagURUS5 [S[T5S- 5HenTUS-TU- RnX#n[ R "US5(aUv MA[ R"US- U- 5S-U-v Mg g7f)Nc3># [[T5S- 5H$n[TUTUS-TUS-5nUv M& g![a SnNf=f7f)Nrr5)r$rr ZeroDivisionError)iradiusrCs r_radiiarc_distances.._radiiUs`s1vz"A )!A$!a%!AE(CL #%  s'AA A AAAArr6r@)returnIterable[float])r+rr:r$ magnituder/iscloseasin)rrMrkrrkrCs @rrFrFRsA&(^A 1v{HHQrUO 1c!fqj !a!eHqtO.. T <<A  N))HsNR/036; ; "sCCc6UR5nURS5(a [XS9$URS5(a [XS9$URS5(a [ XS9$URS5(a [ XS9$[ SU35e)aEstimate tangents for curve defined by given fit points. Calculated tangents are normalized (unit-vectors). Available tangent estimation methods: - "3-points": 3 point interpolation - "5-points": 5 point interpolation - "bezier": tangents from an interpolated cubic bezier curve - "diff": finite difference Args: points: start-, end- and passing points of curve method: tangent estimation method normalize: normalize tangents if ``True`` Returns: tangents as list of :class:`Vec3` objects bez normalizez3-pz5-pdifzUnknown method: )lower startswithrtangents_3_point_interpolationtangents_5_point_interpolationfinite_difference_interpolationr)rArr[s rr r js,\\^F 26OO   5 ! !-fJJ   5 ! !-fJJ   5 ! !.vKK+F8455r c hUS:Xa![S[XSS555nX"4$US:Xa[[U55nX"4$URS5(aK[ USS5nSn[ U5H)nU[[ URU555- nM+ XD4$[S U35e) aEstimate tangent magnitude of start- and end tangents. Available estimation methods: - "chord": total chord length, curve approximation by straight segments - "arc": total arc length, curve approximation by arcs - "bezier-n": total length from cubic bezier curve approximation, n segments per section Args: points: start-, end- and passing points of curve method: tangent magnitude estimation method rc3H# UHupURU5v M g7fr)r@).0p0r1s r 1estimate_end_tangent_magnitude..sQ9Pvr2;;r??9Ps "rNrzbezier-r5z.Unknown tangent magnitude calculation method: ) r8r.rFr^intr r, approximater)rArr;countr=curves rr r s"QVABZ9PQQ )) 5=01 ))   9 % %F12J /7E %e&7&7&>?@ @A8t I&RSSr c [XSS5VVs/sH up4XC- PM nnn[[X55n[XfSS5VVs/sH upxX- PM n nn[XY5V V s/sH upX- PM n n n [XSS5V Vs/sH upXU-- PM nn n[5/nUR [ [ U 5S- 5Vs/sH nSUU- U U-UUU US---PM" sn5 SU S-US- US'URSU S-US- 5 U(a UVs/sHnUR5PM nnU$s snnfs snnfs sn n fs snn fs snfs snf)zLReturns from 3 points interpolated and optional normalized tangent vectors. rNr7rOrr6) r.r+r rextendr$rr:r[)rrr[Q0Q1qr't0t1delta_tqkdtkr>dt0dt1alphatangentsrVvs rr_r_sr #:!"~>?>VR>A? _Z 01A%(abE]3]62rw]G3!$Q1gbA1/27ABK/H I/H83S#I /HE I F8H OO@Ec!fqj@QR@Q1#a.AaD 58aAh#6 6@QR!*x{*HQK OOC!B%K(2,./+348aAKKM84 O @31 I S 5s#E E+E%E+'E1;E6c[U5n[U5n[5n[U5H`nX5S- R X55R nX5S-R X5S-5R nUR XfU-- 5 Mb /n[U5H-nSXE- X5-XEX5S---n UR U 5 M/ U(aUV s/sHoR5PM nn U$s sn f)zLReturns from 5 points interpolated and optional normalized tangent vectors. rrIr7)r_delta_qr+r$crossrRr:r[) rr[r&rqryrVv1v2rzvkr{s rr`r`s JAA FE 1XAhnnQT" - -AhnnQ1uX& 1 1 R7^$ H 1XEHn $ux!E(': :+348aKKM84 O5sC6c[U5n[5/nUR[US- 5Vs/sHo0US-X- PM sn5 SUS-US- US'UR SX!S- -X!S- - 5 UR SX!-X!S- - 5 UR SUS-US- 5 U$s snf)NrrOrIr)rrrnr$r:)rAr&rqrVs rr}r}s F A AHHq1u >AQUmfi' >? 1:! AaDHHS1U8^aAh &'HHS14Z!E( "#HHS1Q4Z!A$  H ?sB>cVSnUnUSUS- U- /n[S[U5S- 5H1nURX5X5S- - U- X5S-X5- U- -5 M3 URUSUS- U- 5 U(aUVs/sHofR5PM nnU$s snf)NrOrrr6)r$rr:r[)rr[frCr'rVr{s rraras AA A$1+ A 1c*o) * !$q5/Q&!E(QT/Q)>>?+HHaeaemq !$% &Aq[[]A & H 's B&c ^U4SjnU"USUS5/n[S[U5S- 5H%nURU"XS-XS- 55 M' URU"USUS55 U$)Nc0>X- RST- 5$)Nr7rZ)rer1tensions rtangent'cardinal_interpolation..tangents""3=11r rrr6r)r$rr:)rrrr'rVs ` rcardinal_interpolationrs|2 A 1 ./A 1c*o) * E*J1u,=>?+HHWZ^Z^ 45 Hr )r list[Vec3]rstrrP list[float])r%rirPr)rrrPr)r3zSequence[float]rPr)rAIterable[Vec3]rPrQ)rArrPr#)rrrPrQ)z5-pointsT)rArrrrPr)r)rArrrrPztuple[float, float])rT)rrrrrPr)T)rrrPr)rArrPr)rrrr#rPr) __future__rtypingrrr/ ezdxf.mathrbezier_interpolationrr construct2dr __all__r rrrr*r,rrrFr r r_r`r}rarr rrs#% *  >* D+ )+ <2=A 6  6 # 6 6H'.T T #TTD>B$'.'+0 '+        r