h"SSKJr SSKJrJrJr SSKrSSKrSSK J r J r SSK J r Jr SSKJr \R"S- rS /r"S S 5rS S jrg) ) annotations)SequenceIteratorIterableN)Vec2UVec)ConstructionRayConstructionLine) BoundingBox2dg@ConstructionCirclec\rSrSrSrSSSjjrSSjr\SSj5r\ SSj5r SSjr SSjr SS jr SS jrSS jrSS jrSSS jjrSSSjjrSS SjjrSrg)!r zConstruction tool for 2D circles. Args: center: center point as :class:`Vec2` compatible object radius: circle radius > `0` cz[U5Ul[U5UlURS::a [ S5eg)NzRadius has to be > 0.)rcenterfloatradius ValueError)selfrrs C/var/www/html/env/lib/python3.13/site-packages/ezdxf/math/circle.py__init__ConstructionCircle.__init__s56l Fm ;;# 45 5 c<SURSURS3$)zNReturns string representation of circle "ConstructionCircle(center, radius)". zConstructionCircle(z, )rr)rs r__str__ConstructionCircle.__str__!s!%T[[MDKK=BBrcF[U5n[U5n[U5n[X45n[X55nURURU55nURURU55n UR U 5n [ XR U55$)z]Creates a circle from three points, all points have to be compatible to :class:`Vec2` class. )rr orthogonallerp intersectr distance) p1p2p3_p1_p2_p3ray1ray2 center_ray1 center_ray2rs rfrom_3pConstructionCircle.from_3p's 2h2h2hs(s(oochhsm4 oochhsm4 &&{3!&//#*>??rc[URUR45n[URU- URU-45$)z<2D bounding box of circle as :class:`BoundingBox2d` object.)rrr r)rrvecs r bounding_boxConstructionCircle.bounding_box6s=T[[$++./dkkD0$++2DEFFrcBU=R[X45- slg)zMove circle about `dx` in x-axis and about `dy` in y-axis. Args: dx: translation in x-axis dy: translation in y-axis N)rr)rdxdys r translateConstructionCircle.translate<s tRH~% rc\UR[R"XR5-$)zReturns point on circle at `angle` as :class:`Vec2` object. Args: angle: angle in radians, angle goes counter clockwise around the z-axis, x-axis = 0 deg. )rr from_angler)rangles rpoint_atConstructionCircle.point_atFs {{T__UKK@@@rc## URnURnUHnU[R"XC5-v M g7f)zYields vertices of the circle for iterable `angles`. Args: angles: iterable of angles as radians, angle goes counter-clockwise around the z-axis, x-axis = 0 deg. N)rrrr;)ranglesrrr<s rverticesConstructionCircle.verticesPs7E4??599 9s>Ac## SSKJn U"UR[RU5nUR [ R"S[RUS-55ShvN gN7f)zApproximate the circle by vertices, argument `sagitta` is the max. distance from the center of an arc segment to the center of its chord. Returns a closed polygon where the start vertex is coincident with the end vertex! r )arc_segment_countrN)arcrDrmathtaurAnplinspace)rsagittarDcounts r flatteningConstructionCircle.flattening]sG +!$++txxA==S$((EAI!FGGGsA$A.&A,'A.cdURURR[U55:$)z-Returns ``True`` if `point` is inside circle.)rrr$r)rpoints rinsideConstructionCircle.insidehs${{dkk224;???rcrURU5n[URU5nURU5$)zmReturns tangent to circle at `angle` as :class:`ConstructionRay` object. Args: angle: angle in radians )r=r rr!)rr<point_on_circlerays rtangentConstructionCircle.tangentls1--.dkk?;~~o..rc[U[5(deURUR5nUR U5nURR U5n/nXPR :a[R"USUS9(aURn[nOTX@R- Rn[R"UR UR5UR - 5nURURXx-55 URURXx- 55 O5[R"XPR US9(aURU5 [U5$)aReturns intersection points of circle and `ray` as sequence of :class:`Vec2` objects. Args: ray: intersection ray abs_tol: absolute tolerance for tests (e.g. test for tangents) Returns: tuple of :class:`Vec2` objects =========== ================================== tuple size Description =========== ================================== 0 no intersection 1 ray is a tangent to circle 2 ray intersects with the circle =========== ================================== rabs_tol) isinstancer r!rr#r$rrFiscloser<HALF_PIacosappendr=tuple) rrTrY ortho_rayintersection_pointdistresultr<alphas r intersect_ray ConstructionCircle.intersect_rayxs,#////NN4;;/  ]]95{{##$67 ++ ||D#w7!,kk9@@ &// rsH#// !3 ''C-  ``F-r