'j8ddlmZddlmZddlZddlmZmZgdZd%d Z d&dZ d'dZ d(dZ d)dZ d*dZd+d Zd+d!Zd,d#Zd-d$ZdS).) annotations)AnyN)Vec2UVec) bulge_to_arcbulge_3_points bulge_center bulge_radius arc_to_bulgebulge_from_radius_and_chordbulge_from_arc_anglepranglefloatdistancereturnrcLt|tj||zS)zReturns the point at a specified `angle` and `distance` from point `p`. Args: p: point as :class:`Vec2` compatible object angle: angle in radians distance: distance )r from_angle)rrrs J/DATA/AppData/hermes/venv/lib/python3.11/site-packages/ezdxf/math/bulge.pypolarrs! 77T_UH55 55p1p2cJt|t|z jS)zReturns angle a line defined by two endpoints and x-axis in radians. Args: p1: start point as :class:`Vec2` compatible object p2: end point as :class:`Vec2` compatible object )rr)rrs rrr"s HHtBxx  &&rcenterr start_angle end_angleradiustuple[Vec2, Vec2, float]ct|||}t|||}tjdz}tj|||z z|dz }tj|tj|z }|||fS)a4Returns bulge parameters from arc parameters. Args: center: circle center point as :class:`Vec2` compatible object start_angle: start angle in radians end_angle: end angle in radians radius: circle radius Returns: tuple: (start_point, end_point, bulge) @)rmathpifmodsincos) rrrr start_point end_pointpi2abulges rr r -sx V44Kfi00I 'A+C 3)k12S99C?A HQKK$(1++ %E  5 ((rr(r)pointctjt||z t||zdz }tj|tj|z S)a2Returns 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!)r#r$rr&r')r(r)r-r+s rrrDsI 5 ,, ,uUI/F/F F!KA 8A;;! $$rr, tuple[Vec2, float, float, float]c~t|||}t||tjdz tj|dzz z}t |||}|dkr/|t||t||t |fS|t||t||t |fS)a4Returns 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) r!r)signed_bulge_radiusrr#r$atanrabs)r(r)r,rr+cs rrrSs4 KE::A k9%%1ty7G7G!7K)KLA k1a  A qyy%9%%uQ '<'tt|||S)aReturns radius of arc defined by the given bulge parameters. Based on Bulge Radius by `Lee Mac`_ Args: start_point: start point as :class:`Vec2` compatible object end_point: end point as :class:`Vec2` compatible object bulge: bulge value )r3r1r:s rr r s "; 5AA B BBrchordc |d|zz }n#t$rYdSwxYw |dtjd||zz zz S#t$rYdSwxYw)zReturns the bulge value for the given arc radius and chord length. Returns 0 if the radius is zero or the radius is too small for the given chord length to create an arc. Args: radius: arc radius chord: chord length r7gr9)ZeroDivisionErrorr#sqrt ValueError)rr<xs rr r s S6\ " ssC$)C!a%K00011 sss = A  A c0tj|dz S)zeReturns the bulge value for the given arc angle. Args: angle: arc angle in radians r")r#tan)rs rr r s 8ECK  r)rrrrrrrr)rrrrrr) rrrrrrrrrr)r(rr)rr-rrr)r(rr)rr,rrr/)r(rr)rr,rrr)r(rr)rr,rrr)rrr<rrr)rrrr) __future__rtypingrr# ezdxf.mathrr__all__rrr rrr r1r r r rrrIs8 #""""" !!!!!!!!    6 6 6 6'''')))). % % % % E E E EF& C C C C*!!!!!!r