hS/SSKJr SSKJrJrJrJr SSKrSSKJ r J r \(aSSK J r Sr SrS rSS jrS \ 4SS jjrSS jr\ 4SSjjrSSjrSSjr\ 4SSjjrSrSrSrSrSrSrS SjrS!S"Sjjrg)#) annotations)IterableSequenceOptional TYPE_CHECKINGN)Vec2Vec3)UVecg|=gV瞯,has_clockwise_orientation..(s6 5TTBDD[RTTBDD[ )5sAArN)r listlen ValueErroriscloseappendsumzip)verticess rhas_clockwise_orientationr!syy"H 8}q899 A;  x| , , $  h 5     TcUupEUupgURnURn URn URn URn URn URnURnX- X- -X- X- -- n[R"U5U::agX- X- -X- X- -- U- n[ UUX- --U UX- --5nU(aU$SnSnUUs=::aU::a+O gX- X- -X- X- -- U- nUUs=::aU::aU$ gg)a Compute the intersection of two lines in the xy-plane. Args: line1: start- and end point of first line to test e.g. ((x1, y1), (x2, y2)). line2: start- and end point of second line to test e.g. ((x3, y3), (x4, y4)). virtual: ``True`` returns any intersection point, ``False`` returns only real intersection points. abs_tol: tolerance for intersection test. Returns: ``None`` if there is no intersection point (parallel lines) or intersection point as :class:`Vec2` Nr?)rrmathfabsr )line1line2virtualabs_tols1s2c1c2s1xs1ys2xs2yc1xc1yc2xc2ydenusintersection_pointlwruprucs rintersection_line_line_2dr=0s42FB FB $$C $$C $$C $$C $$C $$C $$C $$C 9 #sySY&? ?C yy~  9 #sySY&? ?3 FBcB#)$44cB#)`_ location given as latitude and longitude in decimal degrees as used by GPS into World Mercator cartesian 2D coordinates in meters `EPSG:3395 `_. Args: longitude: represents the longitude value (East-West) in decimal degrees latitude: represents the latitude value (North-South) in decimal degrees. .. versionadded:: 1.3.0 r$@) r%radiansWGS84_SEMI_MAJOR_AXISWGS84_ELLIPSOID_ECCENTRICsinpowlogtan CONST_PI_4) longitudelatituderre e_sin_latrtrrs rgps_to_world_mercatorr&s& Y'I||H%HA!A"Q&I # /cIo6C@A DHHTXXj8c>9:Q> ??A A 4Kr"c[n[nUS- n[n[RU*U- -nUS[R "U5-- n[R "U5U-n US[R "USU - SU -- U--5-- n [X- 5U:aOU nMZX- n [R"U 5[R"U 54$)aTransform World Mercator to GPS. Transform WGS84 World Mercator `EPSG:3395 `_ location given as cartesian 2D coordinates x, y in meters into WGS84 decimal degrees as longitude and latitude `EPSG:4326 `_ as used by GPS. Args: x: coordinate WGS84 World Mercator y: coordinate WGS84 World Mercator tol: accuracy for latitude calculation .. versionadded:: 1.3.0 rxr$) rzr{ CONST_PI_2r%ratanr|rjdegrees) rrtolrrre2pi2t latitude_rrrs rworld_mercator_to_gpsrDs, A!A SB C A26AcDIIaL((I HHY'!+ tyy # /cIo62= =    x# $s *   I << "DLL$: ::r")r zIterable[UVec]returnbool)r'Sequence[Vec2]r(rrzOptional[Vec2])rfloat)rSSequence[Vec3]rTrrr)rarrbrrr)rkr rlz list[Vec2]rint)rrrrrtuple[float, float])gư>)rrrrrrrr) __future__rtypingrrrrr%_vectorr r ezdxf.mathr TOLERANCErfr`r!r=rLr^rcrgrvrzWGS84_SEMI_MINOR_AXISr{CONST_E2rrrrr?r"rrs #>>      >   6 6 6  6r "9B$ $ .$$N<@/87 7$77| $/    <&;r"