'j_&ddlmZddlZddlmZmZmZmZmZddl m Z ddl m Z ddl mZgdZdejddfd0dZ d1d0dZ d2d3dZ d4d5dZ d6d7d#Zd8d9d&Z d8d:d*Z d;d start_angle!) segments: count of Bèzier-curve segments, default is one segment for each arc quarter (π/2) transform: transformation Matrix applied to the unit circle TF)r rstart curve4_tor rrrrpath start_flagrctrl1ctrl2ends K/DATA/AppData/hermes/venv/lib/python3.11/site-packages/ezdxf/path/shapes.pyr r s* 66DJ$?Y%%** ueS  DJJ sE5)))) ~~i(((ct}d}t|||D]7\}}}} |r||d}|| ||8|d||S||S)u]Returns a wedge as a :class:`Path` object, with the center at (0, 0, 0) and the radius of 1 drawing unit. The arc spans from the start- to the end angle in counter-clockwise orientation. The end angle has to be greater than the start angle and the angle span has to be greater than 0. Args: start_angle: start angle in radians end_angle: end angle in radians (end_angle > start_angle!) segments: count of Bèzier-curve segments, default is one segment for each arc quarter (π/2) transform: transformation Matrix applied to the wedge TFrrr)r rline_torrr s r&rr@s* 66DJ$?Y%%** ueS   LL   J sE5))))LL ~~i(((r'r)centerrradiusratiorotationrc|dkrtd||dkrtd||}||z}t|||df|S)uFReturns the transformation matrix to transform a unit circle into an arbitrary circular- or elliptic arc. Example how to create an ellipse with a major axis length of 3, a minor axis length 1.5 and rotated about 90°:: m = elliptic_transformation(radius=3, ratio=0.5, rotation=math.pi / 2) ellipse = shapes.unit_circle(transform=m) Args: center: curve center in WCS radius: radius of the major axis in drawing units ratio: ratio of minor axis to major axis rotation: rotation angle about the z-axis in radians ư>zinvalid radius: zinvalid ratio: r ) ValueErrorr)r+r,r-r.scale_xscale_ys r&rresk,}}4F44555 t||2522333GunG '1(=x H HHr'widthheightc(|dkrtd||dkrtd|t|dz }t|dz }tj||f| |f| | f|| fgd}||S||S)aeReturns a closed rectangle as a :class:`Path` object, with the center at (0, 0, 0) and the given `width` and `height` in drawing units. Args: width: width of the rectangle in drawing units, width > 0 height: height of the rectangle in drawing units, height > 0 transform: transformation Matrix applied to the rectangle g& .>zinvalid width: zinvalid height: g@Tclose)r1rr from_verticesr)r4r5rw2h2r!s r&rrs t||2522333 }}4F44555 u B v B  " bRC9sRCj2s)4D   D ~~i(((r'?countlength float | Nonectj|||}|||}tj|dS)aReturns a `regular polygon `_ a :class:`Path` object, with the center at (0, 0, 0). The polygon size is determined by the edge `length` or the circum `radius` argument. If both are given `length` has higher priority. Default size is a `radius` of 1. The ngon starts with the first vertex is on the x-axis! The base geometry is created by function :func:`ezdxf.render.forms.ngon`. Args: count: count of polygon corners >= 3 length: length of polygon side radius: circum radius, default is 1 transform: transformation Matrix applied to the ngon )r>r,NTr7)r rtransform_verticesr r9)r=r>r,rverticess r&rrsI(z%v>>>H//99  "84 8 8 88r'r1r2ctj|||}|||}tj|dS)aReturns a `star shape `_ as a :class:`Path` object, with the center at (0, 0, 0). Argument `count` defines the count of star spikes, `r1` defines the radius of the "outer" vertices and `r2` defines the radius of the "inner" vertices, but this does not mean that `r1` has to be greater than `r2`. The star shape starts with the first vertex is on the x-axis! The base geometry is created by function :func:`ezdxf.render.forms.star`. Args: count: spike count >= 3 r1: radius 1 r2: radius 2 transform: transformation Matrix applied to the star )rCrDNTr7)r rrAr r9)r=rCrDrrBs r&rrsI"z%B2...H//99  "84 8 8 88r' top_width bottom_widthoutside_radiusctj|||||}|||}tj|dS)a{ Returns a `gear `_ (cogwheel) shape as a :class:`Path` object, with the center at (0, 0, 0). The base geometry is created by function :func:`ezdxf.render.forms.gear`. .. warning:: This function does not create correct gears for mechanical engineering! Args: count: teeth count >= 3 top_width: teeth width at outside radius bottom_width: teeth width at base radius height: teeth height; base radius = outside radius - height outside_radius: outside radius transform: transformation Matrix applied to the gear shape NTr7)r rrAr r9)r=rFrGr5rHrrBs r&rrsJ4z%L&.QQH//99  "84 8 8 88r'Tpitchturnsc fd}d fd }|||s t|ddf}|tjz |tj|z }t tj|} | dkrzt ||tj|} t| D]F} tdd|j j } | D]&\} }}| | |z| | z| |z'G|| z }|dkrtj |d z}||tjz|z }tdd|j j } ||tj|z|D]&\} }}| | |z| | z| |z'|S) a Returns a `helix `_ as a :class:`Path` object. The center of the helix is always (0, 0, 0), a positive `pitch` value creates a helix along the +z-axis, a negative value along the -z-axis. Args: radius: helix radius pitch: the height of one complete helix turn turns: count of turns ccw: creates a counter-clockwise turning (right-handed) helix if ``True`` segments: cubic Bezier segments per turn c 3LKd}||z z}|dz}td||D]\}}}} t|j z|j z||z|z t|j z|j z||z|zt| j z| j z||zfV||z }dS)Ngg?r)rrxy) banglerzzz_stepz_step_2_v1v2v3prxrys r&bezier_ctrl_pointsz!helix..bezier_ctrl_pointss !A%C<8E8LL  MAr2rRTBYr 2=1+<==RTBYr 2=1+<==RTBYr 2;77    &LBB   r'alpharrctj|}d|z d|z z|zz}tj|d|z ztj|z}||z S)Nr<g@g@)mathcossintan)r^cos_ab_1b_2rZs r&param_bzhelix..param_bsYU{sU{+e3a7huoou-?Syr'r)rr0rJ)r^rrr) r r`taupirfloorlistrangerr%zrceil)r,rKrLccwrr]rgr!rQ full_turns curve_paramsrVrmrWrXrYreminderrZr[r\s @@@r&rrs.        B B S vq!n % % %D A("##ATZ&&''JA~~..q$(HEEFF z"" 7 7AQ48:&&A* 7 7 Bq2vq2vq2v6666 7z!H$9X\** GHtw&1 2 2 Atxz " ",,Q80CXNN 3 3JBB NN1r61r61r6 2 2 2 2 Kr') rrrrrrrrrr )r N)r)r r r) r+rr,rr-rr.rrr)r r N)r4rr5rrrrr )Nr<N) r=rr>r?r,rrrrr )N) r=rrCrrDrrrrr )r=rrFrrGrr5rrHrrrrr )TrJ) r,rrKrrLrrrrr ) __future__rr` ezdxf.mathrrrrr ezdxf.renderr r!r r __all__rhr rrrrrrrr'r&rys#"""""    x!% !)!)!)!)!)N!% ")")")")")L IIIII@GK)))))< !% 99999499999:"& 99999H  AAAAAAAr'