h#ddlmZddlmZmZmZddlZddlZddl m Z m Z ddl m Z mZddlmZej"dz Zd gZGd d Zd d Zy) ) annotations)SequenceIteratorIterableN)Vec2UVec)ConstructionRayConstructionLine) BoundingBox2dg@ConstructionCircleceZdZdZdddZddZeddZeddZ ddZ ddZ ddZ dd Z dd Zdd Z d dd Z d dd Z d ddZy)r zConstruction tool for 2D circles. Args: center: center point as :class:`Vec2` compatible object radius: circle radius > `0` cxt||_t||_|jdkr t dy)NzRadius has to be > 0.)rcenterfloatradius ValueError)selfrrs 1lib/python3.12/site-packages/ezdxf/math/circle.py__init__zConstructionCircle.__init__s56l Fm ;;# 45 5 c<d|jd|jdS)z^Returns string representation of circle "ConstructionCircle(center, radius)". zConstructionCircle(z, ))rr)rs r__str__zConstructionCircle.__str__!s!%T[[MDKK=BBrcLt|}t|}t|}t||}t||}|j|j|}|j|j|} |j | } t | | j |S)zmCreates 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_3pzConstructionCircle.from_3p's 2h2h2hsC(sC(oochhsm4 oochhsm4 &&{3!&&//#*>??rct|j|jf}t|j|z |j|zfS)z<2D bounding box of circle as :class:`BoundingBox2d` object.)rrr r)rrvecs r bounding_boxzConstructionCircle.bounding_box6s=T[[$++./dkkD0$++2DEFFrcD|xjt||fz c_y)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 translatezConstructionCircle.translate<s tRH~% rc\|jtj||jzS)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_atzConstructionCircle.point_atFs"{{T__UDKK@@@rc#K|j}|j}|D]}|tj||zyw)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)rrrr4)ranglesrrr5s rverticeszConstructionCircle.verticesPs:E4??5&99 9s<>c#Kddlm}||jtj|}|j t jdtj|dzEd{y7w)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)arcr;rmathtaur9nplinspace)rsagittar;counts r flatteningzConstructionCircle.flattening]sH +!$++txxA==S$((EAI!FGGGsA#A-%A+&A-cd|j|jjt|k\S)z-Returns ``True`` if `point` is inside circle.)rrr r)rpoints rinsidezConstructionCircle.insidehs${{dkk224;???rcr|j|}t|j|}|j|S)zReturns tangent to circle at `angle` as :class:`ConstructionRay` object. Args: angle: angle in radians )r6r rr)rr5point_on_circlerays rtangentzConstructionCircle.tangentls1--.dkk?;~~o..rct|tsJ|j|j}|j |}|jj |}g}||j krtj|d|r|j}t}nT||jz j}tj|j |j|j z }|j|j||z|j|j||z t|Stj||j |r|j|t|S)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 rrrr rr=iscloser5HALF_PIacosappendr6tuple) rrIrM ortho_rayintersection_pointdistresultr5alphas r intersect_rayz ConstructionCircle.intersect_rayxs%,#///NN4;;/  ]]95{{##$67 $++ ||D#w7!,dkk9@@ &// rsH#// !3 ''C-  ``F-r