h9I6SSKJr SSKJrJrJrJrJr SSKrSSK r SSK J r J r SSKJr SSKJr SSKJr SS KJrJr SS KJr \(a SS KJr SS KJr /S QrS\R<S-\R<\R<S-/r"SS5r SSjr!SSjr"g)) annotations) TYPE_CHECKINGIterableSequenceIteratorOptionalN)Vec2UVec) BoundingBox2d)enclosing_angles)ConstructionCircle)ConstructionRayConstructionLine)UCS)Arc) BaseLayout)ConstructionArcarc_chord_lengtharc_segment_count?g?ch\rSrSrSrS S!Sjjr\S"Sj5r\S"Sj5r\S#Sj5r \S$Sj5r \S%Sj5r S&S jr \S'S j5r S(S jrS)S jrS(S jrS*SjrS+SjrS,SjrS-Sjr\S'Sj5r\S'Sj5r\S.Sj5r\S/S0Sjj5r\S1S2Sjj5r\S/S3Sjj5rS4S5SjjrS6S7SjjrS6S8SjjrS6S9Sjjr S6S:Sjjr!S;Sjr"Sr#g)= 2hT)numendpointN) ValueErrorrrnplinspace)r r>startstopangles r"anglesConstructionArc.anglesWsg 7Z( (''#-nns* = CKD[[#EE#+ FsAA!c^URnXR:aUS- nXR- $)z3Returns angle span of arc from start- to end param.v@)rr)r ends r" angle_spanConstructionArc.angle_spangs1^^ !! ! 5LC%%%%r%c## URnURnUHnU[R"XC5-v M g7f)zYields vertices on arc for angles in iterable `a` in WCS as location vectors. Args: a: angles in the range from 0 to 360 in degrees, arc goes counter clockwise around the z-axis, WCS x-axis = 0 deg. N)rrr r')r arrrEs r"verticesConstructionArc.verticesos9E4..u== =s>Ac## [UR5nUS:aURnURn[R "X45(agUS-nUS-nXC::aUS- n[R "XC- 5n[X%U5nUR[R"X4US-55ShvN ggN7f)zApproximate the arc by vertices in WCS, argument `sagitta` is the max. distance from the center of an arc segment to the center of its chord. rNr=r ) absrrrmathiscloseradiansrrOrArB)r sagittarrCrDrKcounts r" flatteningConstructionArc.flattening~s DKK( A:++E..D||E(( SLE CKD}  $ T\ :J%f'BE}}R[[eai%HI I I  JsB4B?6B=7B?c## UHQn[R"U5n[[R"U5*[R"U545v MS g7f)zYields tangents on arc for angles in iterable `a` in WCS as direction vectors. Args: a: angles in the range from 0 to 360 in degrees, arc goes counter-clockwise around the z-axis, WCS x-axis = 0 deg. N)rSrUr sincos)r rNrErs r"tangentsConstructionArc.tangentssAE||E*A! dhhqk23 3sAAc#2# URnURn[R"UR5n[R"UR 5n[ H1n[XSU5(dMU[R"XR5-v M3 g7fr) rrrSrUrrQUARTER_ANGLESr r from_angle)r rrrCrJrEs r"r7 ConstructionArc.main_axis_pointssh{{ ||D$4$45\\$..1#Ec22tu===$s A1B7 BcBU=R[X5- slU$)zMove arc about `dx` in x-axis and about `dy` in y-axis, returns `self` (floating interface). Args: dx: translation in x-axis dy: translation in y-axis )rr )r dxdys r" translateConstructionArc.translates tB|#  r%cBU=R[U5-slU$)z[Scale arc inplace uniform about `s` in x- and y-axis, returns `self` (floating interface). )rfloat)r ss r" scale_uniformConstructionArc.scale_uniforms uQx  r%cZU=RU- slU=RU- slU$)zsRotate arc inplace about z-axis, returns `self` (floating interface). Args: angle: rotation angle in degrees r/)r rEs r"rotate_zConstructionArc.rotate_zs( E! % r%cB[R"UR5$)z#Returns the start angle in radians.)rSrUrr(s r"start_angle_radConstructionArc.start_angle_rads||D,,--r%cB[R"UR5$)z!Returns the end angle in radians.)rSrUrr(s r" end_angle_radConstructionArc.end_angle_rads||DNN++r%cT[U5n[U5nX:Xa [S5eX4$)Nz1Start- and end point have to be different points.)r r@)r)r,s r"validate_start_and_end_point,ConstructionArc.validate_start_and_end_points2;' O  #PQ Q%%r%cURX5upV[R"U5nUS:Xa [S5eUSLaXepeUS- nUR U5nUS- n U [R "U5- n U [R "U5- n URUSS9n Xe- n U R5RU 5nX-n[UU X_- RXo- RSS9$) aCreate arc from two points and enclosing angle. Additional precondition: arc goes by default in counter-clockwise orientation from `start_point` to `end_point`, can be changed by `ccw` = ``False``. Args: start_point: start point as :class:`Vec2` compatible object end_point: end point as :class:`Vec2` compatible object angle: enclosing angle in degrees ccw: counter-clockwise direction if ``True`` rzAngle can not be 0.F@rfactorTrrrrr!) rxrSrUr@distancer[tanlerp orthogonal normalizer angle_deg)clsr)r,rEccw _start_point _end_pointalpha2r distance2rheight mid_pointdistance_vector height_vectorrs r" from_2p_angleConstructionArc.from_2p_angles&$'#C#C $   U# A:23 3 %<'1* $--l;#c> !DHHV$44!DHHV$44$//,s/C * 9-88:DDVL  0%.99!*55!%   r%cURX5upg[U5nUS::a [S5eUSLaXvpvURUSS9nUR U5n U S- n [ R "US-U S-- 5n XU- RUS9RU 5-n [U UXl- RX|- RS S 9$) aCreate arc from two points and arc radius. Additional precondition: arc goes by default in counter-clockwise orientation from `start_point` to `end_point` can be changed by `ccw` = ``False``. The parameter `center_is_left` defines if the center of the arc is left or right of the line from `start_point` to `end_point`. Parameter `ccw` = ``False`` swaps start- and end point, which also inverts the meaning of ``center_is_left``. Args: start_point: start point as :class:`Vec2` compatible object end_point: end point as :class:`Vec2` compatible object radius: arc radius ccw: counter-clockwise direction if ``True`` center_is_left: center point of arc is left of line from start- to end point if ``True`` rzRadius has to be > 0.Frr|r{r<)rTr~) rxrjr@rrrSsqrtrrrr) rr)r,rrcenter_is_leftrrrrrrrs r"from_2p_radiusConstructionArc.from_2p_radius s8$'#C#C $  v Q;45 5 %<'1*$//,s/C $--l;#c>  &!)il":; $=#I#I$J$ )F %.99!*55!%   r%cURX5up[U5nX1:XdX2:Xa [S5e[R"XU5n[UR 5n[ UURX- RX&- RUS9$)aCreate arc from three points. Additional precondition: arc goes in counter-clockwise orientation from `start_point` to `end_point`. Args: start_point: start point as :class:`Vec2` compatible object end_point: end point as :class:`Vec2` compatible object def_point: additional definition point as :class:`Vec2` compatible object ccw: counter-clockwise direction if ``True`` z5def_point has to be different to start- and end pointr~) rxr r@rfrom_3prrrr)rr)r, def_pointrr3rs r"rConstructionArc.from_3p>s("%!A!A "  O  #y'=TU U#++KINfmm$==$-88 )44!$   r%NcURURURURURUS9nUcU$UR UR 5$)aAdd arc as DXF :class:`~ezdxf.entities.Arc` entity to a layout. Supports 3D arcs by using an :ref:`UCS`. An :class:`ConstructionArc` is always defined in the xy-plane, but by using an arbitrary UCS, the arc can be placed in 3D space, automatically OCS transformation included. Args: layout: destination layout as :class:`~ezdxf.layouts.BaseLayout` object ucs: place arc in 3D space by :class:`~ezdxf.math.UCS` object dxfattribs: additional DXF attributes for the ARC entity )rrrr dxfattribs)add_arcrrrr transformmatrix)r layoutucsrarcs r" add_to_layoutConstructionArc.add_to_layoutcsV nn;;;;((nn!  ks@s}}SZZ'@@r%c[U[5(deURRX5Vs/sHnUR U5(dMUPM sn$s snf)a1Returns intersection points of arc and `ray` as sequence of :class:`Vec2` objects. Args: ray: intersection ray abs_tol: absolute tolerance for tests (e.g. test for tangents) Returns: tuple of :class:`Vec2` objects =========== ================================== tuple size Description =========== ================================== 0 no intersection 1 line intersects or touches the arc at one point 2 line intersects the arc at two points =========== ================================== ) isinstancerr3 intersect_ray_is_point_in_arc_range)r rayabs_tolpoints r"rConstructionArc.intersect_ray|s[,#////223@ @**51 @   AAc[U[5(deURRX5Vs/sHnUR U5(dMUPM sn$s snf)a4Returns intersection points of arc and `line` as sequence of :class:`Vec2` objects. Args: line: intersection line abs_tol: absolute tolerance for tests (e.g. test for tangents) Returns: tuple of :class:`Vec2` objects =========== ================================== tuple size Description =========== ================================== 0 no intersection 1 line intersects or touches the arc at one point 2 line intersects the arc at two points =========== ================================== )rrr3intersect_liner)r linerrs r"rConstructionArc.intersect_lines\,$ 0111133DB B**51 B   rc[U[5(deURRX5Vs/sHnUR U5(dMUPM sn$s snf)a%Returns intersection points of arc and `circle` as sequence of :class:`Vec2` objects. Args: circle: intersection circle abs_tol: absolute tolerance for tests Returns: tuple of :class:`Vec2` objects =========== ================================== tuple size Description =========== ================================== 0 no intersection 1 circle intersects or touches the arc at one point 2 circle intersects the arc at two points =========== ================================== )rrr3intersect_circler)r r3rrs r"r ConstructionArc.intersect_circles\,&"4555555fF F**51 F   rc[U[5(deURRURU5Vs/sH5nUR U5(dMUR U5(dM3UPM7 sn$s snf)a%Returns intersection points of two arcs as sequence of :class:`Vec2` objects. Args: other: other intersection arc abs_tol: absolute tolerance for tests Returns: tuple of :class:`Vec2` objects =========== ================================== tuple size Description =========== ================================== 0 no intersection 1 other arc intersects or touches the arc at one point 2 other arc intersects the arc at two points =========== ================================== )rrr3rr)r otherrrs r" intersect_arcConstructionArc.intersect_arcsv,%111155ellGL L**51 ,,U3 L   sA?A?6A?cURS-nURS-nXR- RS-nX#:aXB:=(d XC:*$X$s=:*=(a U:*$s $)NrI)rrrr)r rrCrJrEs r"r&ConstructionArc._is_point_in_arc_rangesd''%/^^e+ +66> ;>1U\ 1$$$$$$r%)rrrr))rrg?rIT) rr rrjrrjrrjr!zOptional[bool])returnr )rbool)rr)rr )r>intrIterable[float])rrj)rNrrIterable[Vec2])rVrjrr)rzIterator[Vec2])rerjrfrjrr)rkrjrr)rErjrr)r)r r,r rztuple[Vec2, Vec2])T) r)r r,r rErjrrrr)TT) r)r r,r rrjrrrrrr) r)r r,r rr rrrr)NN)rrrz Optional[UCS]rr)g|=)rrrrjrSequence[Vec2])rrrrjrr)r3rrrjrr)rrrrjrr)rr rr)$__name__ __module__ __qualname____firstlineno____doc__r#propertyr)r,r0r3r9rFrKrOrXr^r7rgrlrorrru staticmethodrx classmethodrrrrrrrrr__static_attributes__r%r"rrs(  /3 ))) )  ) - )$PPNN11<<  && >J( 4>  ..,,&&&*& &&  + + +  +  +  + + Z # 2 2 2  2  2  2  2 2 h  " " "  "  "  " " JIMA A'4A A46; " -2  <8= $ /4  <TYYsV|g58IIJJJ s #& 33c[X5n[R"US- U- 5S-n[R"X- 5$![[ 4a gf=f)aReturns the count of required segments for the approximation of an arc for a given maximum `sagitta`_. Args: radius: arc radius angle: angle span of the arc in radians sagitta: max. distance from the center of an arc segment to the center of its chord r{r )rrSasinceilr@ZeroDivisionError)rrErV chord_lengthalphas r"rr sW.v? yy!3f!<=Cyy'' ) *sAAAA)rrjrVrjrrj)rrjrErjrVrjrr)# __future__rtypingrrrrrrSnumpyrA ezdxf.mathr r r8r construct2dr r3rrrrrrezdxf.entitiesr ezdxf.layoutsr__all__pirarrrrr%r"rso#HH !)&3"( FTWWs]DGGTWWs];a%a%H r%