h8SSKJr SSKJr SSKrSSKJrJr /SQrSSjr SSjr SSjr SS jr SS jr SS jrSS jrSS jrSSjrSSjrg)) annotations)AnyN)Vec2UVec) bulge_to_arcbulge_3_points bulge_center bulge_radius arc_to_bulgebulge_from_radius_and_chordbulge_from_arc_anglecF[U5[R"X5-$)zReturns the point at a specified `angle` and `distance` from point `p`. Args: p: point as :class:`Vec2` compatible object angle: angle in radians distance: distance )r from_angle)pangledistances B/var/www/html/env/lib/python3.13/site-packages/ezdxf/math/bulge.pypolarrs 7T__U5 55cD[U5[U5- R$)zReturns angle a line defined by two endpoints and x-axis in radians. Args: p1: start point as :class:`Vec2` compatible object p2: end point as :class:`Vec2` compatible object )rr)p1p2s rrr"s HtBx  & &&rc[XU5n[XU5n[RS-n[R"XbU- -U5S- n[R"U5[R "U5- nXEU4$)aReturns bulge parameters from arc parameters. Args: center: circle center point as :class:`Vec2` compatible object start_angle: start angle in radians end_angle: end angle in radians radius: circle radius Returns: tuple: (start_point, end_point, bulge) @)rmathpifmodsincos) center start_angle end_angleradius start_point end_pointpi2abulges rr r -skV4Kf0I ''A+C 3k12S9C?A HHQK$((1+ %E 5 ((rc[R[X 5- [X!5-S- n[R"U5[R"U5- $)aReturns bulge value defined by three points. Based on 3-Points to Bulge by `Lee Mac`_. Args: start_point: start point as :class:`Vec2` compatible object end_point: end point as :class:`Vec2` compatible object point: arbitrary point as :class:`Vec2` compatible object r)rrrrr )r%r&pointr(s rrrDsA 5, ,uU/F F!KA 88A;! $$rc4[XU5n[X5[RS- [R"U5S-- -n[ XU5nUS:a!U[XQ5[XP5[ U54$U[XP5[XQ5[ U54$)aReturns arc parameters from bulge parameters. The arcs defined by bulge values of :class:`~ezdxf.entities.LWPolyline` and 2D :class:`~ezdxf.entities.Polyline` entities start at the vertex which includes the bulge value and ends at the following vertex. .. important:: The return values always describe a counter-clockwise oriented arc, so for clockwise arcs (negative bulge values) the start and end angles are swapped and the arc starts at the `end_point` and ends at the `start_point`. Based on Bulge to Arc by `Lee Mac`_. Args: start_point: start vertex as :class:`Vec2` compatible object end_point: end vertex as :class:`Vec2` compatible object bulge: bulge value Returns: Tuple: (center, start_angle, end_angle, radius) rr)signed_bulge_radiusrrratanrabs)r%r&r)rr(cs rrrSs4 KE:A k%1tyy7G!7K)KLA ka A qy%%uQ'rGs # !  6') )$)16)@E)). % E E"& E/4 E% EF&"&/4  C*!r