'j"ddlmZddlmZmZmZddlZddlZddl m Z m Z ddl m Z mZddlmZejdz Zd gZGd d ZddZdS)) annotations)SequenceIteratorIterableN)Vec2UVec)ConstructionRayConstructionLine) BoundingBox2dg@ConstructionCircleceZdZdZd0d1dZd2d Zed3dZed4dZ d5dZ d6dZ d7dZ d8dZ d9d!Zd:d#Z d;dd.Zd/S)?r zConstruction tool for 2D circles. Args: center: center point as :class:`Vec2` compatible object radius: circle radius > `0` ?centerrradiusfloatct||_t||_|jdkrt ddS)NzRadius has to be > 0.)rrrr ValueError)selfrrs K/DATA/AppData/hermes/venv/lib/python3.11/site-packages/ezdxf/math/circle.py__init__zConstructionCircle.__init__s@6ll Fmm ;#  455 5  returnstrc(d|jd|jdS)z^Returns string representation of circle "ConstructionCircle(center, radius)". zConstructionCircle(z, ))rr)rs r__str__zConstructionCircle.__str__!s"CT[BBDKBBBBrp1p2p3ct|}t|}t|}t||}t||}|||}|||} || } t | | |S)zmCreates a circle from three points, all points have to be compatible to :class:`Vec2` class. )rr orthogonallerp intersectr distance) rr r!_p1_p2_p3ray1ray2 center_ray1 center_ray2rs rfrom_3pzConstructionCircle.from_3p's 2hh2hh2hhsC((sC((oochhsmm44 oochhsmm44 &&{33!&&//#*>*>???rr czt|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[$+.//dkD0$+2DEFFFrdxdyNonecD|xjt||fz c_dS)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)rr2r3s r translatezConstructionCircle.translate<s" tRH~~% ranglercF|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)rr7s rpoint_atzConstructionCircle.point_atFs{T_UDK@@@@ranglesIterable[float]Iterable[Vec2]c#dK|j}|j}|D]}|tj||zVdS)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)rrrr9)rr;rrr7s rverticeszConstructionCircle.verticesPsO : :E4?5&999 9 9 9 9 : :rsagittaIterator[Vec2]c#Kddlm}||jtj|}|t jdtj|dzEd{VdS)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)arcrCrmathtaur?nplinspace)rr@rCcounts r flatteningzConstructionCircle.flattening]sp +*****!!$+txAA==S$(EAI!F!FGGGGGGGGGGGrpointboolcb|j|jt|kS)z-Returns ``True`` if `point` is inside circle.)rrr&r)rrKs rinsidezConstructionCircle.insidehs%{dk224;;????rr c||}t|j|}||S)zReturns tangent to circle at `angle` as :class:`ConstructionRay` object. Args: angle: angle in radians )r:r rr#)rr7point_on_circlerays rtangentzConstructionCircle.tangentls8--..dk?;;~~o...r绽|=rQabs_tolSequence[Vec2]ct|tsJ||j}||}|j|}g}||jkrtj|d|r|j }t}nC||jz j }tj ||j|jz }| | ||z| | ||z n1tj||j|r| |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 =========== ================================== rrT) isinstancer r#rr%r&rrEiscloser7HALF_PIacosappendr:tuple) rrQrT ortho_rayintersection_pointdistresultr7alphas r intersect_rayz ConstructionCircle.intersect_rayxsM,#/////NN4;//  ]]955{##$677 $+  |D#w777 !,dk9@ &// <z5ConstructionCircle.intersect_line..s?   %dj$(EBB    rrW)rXr rcrQ)rrdrTs ` rintersect_linez!ConstructionCircle.intersect_lines\,$ 011111    ++DHg+FF    rother'ConstructionCircle'ct|tsJ|j}|j}|j|j}||krt S||z}t j||z }||cxkr|krnn|j|jz j}t j |||r| |fSt j |||r?||kr| |fS| |t j zfSt j ||z||zz ||zz d|z|zz } t | || z|| z fSt S)aReturns intersection points of two circles as sequence of :class:`Vec2` objects. Args: other: intersection circle abs_tol: absolute tolerance for tests Returns: tuple of :class:`Vec2` objects =========== ================================== tuple size Description =========== ================================== 0 no intersection 1 circle touches the `other` circle at one point 2 circle intersects with the `other` circle =========== ================================== rWg)rXr rrr&r]rEfabsr7rYr:pir[r?) rrnrTr1r2dd_maxd_minr7rbs rintersect_circlez#ConstructionCircle.intersect_circles,%!344444 [ \ K  . . w;;77NR "r'"" A         \DK/6E|Aug666 / e,,..|Aug666 L88 MM%0022 edgo6688 27R"W#4q1u#<Q"OPPT]]EEM55=+IJJKKKwwrN)r)rrrr)rr)rrr rr!rrr )rr )r2rr3rrr4)r7rrr)r;r<rr=)r@rrrA)rKrrrL)r7rrr )rS)rQr rTrrrU)rdr rTrrrU)rnrorTrrrU)__name__ __module__ __qualname____doc__rr staticmethodr.propertyr1r6r:r?rJrNrRrcrmrxrgrrr r sw66666 CCCC  @ @ @\ @GGGXG &&&&AAAA : : : : H H H H@@@@ / / / /6;.....b8=     <=B-------rrirrjrKrrLcR||z j}||z j|krdS||z j|kS)NF) magnitude)rirjrKlengths rrhrhs7Ek $F   6))u CK "f ,,r)rirrjrrKrrrL) __future__rtypingrrrrEnumpyrG ezdxf.mathrrrdr r bboxr rrrZ__all__r rhrgrrrs#"""""////////// !!!!!!!!33333333 'C-  ````````F------r