h'hddlmZddlZddlmZmZmZmZmZddl m Z ddl m Z ddl mZgdZdej ddf dd Z d dd Z d dd Z d dd Z d dd ZdddZ d ddZ d ddZy)) annotationsN)cubic_bezier_arc_parametersMatrix44UVecbasic_transformationVec3)forms)Path) converter) unit_circleelliptic_transformationrectngonwedgestargearhelixct}d}t|||D]%\}}}} |r ||_d}|j| ||'||S|j |S)uiReturns a unit circle 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 unit circle TF)r rstart curve4_to transform start_angle end_anglesegmentsrpath start_flagrctrl1ctrl2ends 1lib/python3.12/site-packages/ezdxf/path/shapes.pyr r sl* 6DJ$?Y% ueS DJJ sE5) % ~~i((ct}d}t|||D]/\}}}} |r|j|d}|j| ||1|jd||S|j |S)u]Returns a wedge as a :class:`Path` object, with the center at (0, 0, 0) and the radius of 1 drawing unit. The arc spans from the start- to the end angle in counter-clockwise orientation. The end angle has to be greater than the start angle and the angle span has to be greater than 0. Args: start_angle: start angle in radians end_angle: end angle in radians (end_angle > start_angle!) segments: count of Bèzier-curve segments, default is one segment for each arc quarter (π/2) transform: transformation Matrix applied to the wedge TFrrr)r rline_torrrs r"rr@s}* 6DJ$?Y% ueS  LL J sE5) % LL ~~i((r#c||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)centerradiusratiorotationscale_xscale_ys r"rres[,}+F8455 t|?5'233GunG '1(=x HHr#c|dkrtd||dkrtd|t|dz }t|dz }tj||f| |f| | f|| fgd}||S|j |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)r)floatr from_verticesr)widthheightrw2h2rs r"rrs t|?5'233 }+F8455 u B v B  " " bRC9sRCj2s)4D D ~~i((r#ctj|||}||j|}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 )lengthr+Tr1)r rtransform_verticesr r4)countr:r+rverticess r"rrs?(zz%v>H//9  " "84 88r#ctj|||}||j|}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 )r1r2Tr1)r rr;r r4)r<r?r@rr=s r"rrs?"zz%B2.H//9  " "84 88r#ctj|||||}||j|}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 Tr1)r rr;r r4)r< top_width bottom_widthr6outside_radiusrr=s r"rrsC4zz%L&.QH//9  " "84 88r#c$fd}dfd }|||s t|ddf}|tjz |tj|z }t tj |} | dkDryt ||tj|} t| D]J} tdd|jj} | D]"\} }}|j| |z| | z| |z$L|| z }|dkDrtj|dz}||tjz|z }tdd|jj} ||tj|z|D]"\} }}|j| |z| | z| |z$|S)a Returns a `helix `_ as a :class:`Path` object. The center of the helix is always (0, 0, 0), a positive `pitch` value creates a helix along the +z-axis, a negative value along the -z-axis. Args: radius: helix radius pitch: the height of one complete helix turn turns: count of turns ccw: creates a counter-clockwise turning (right-handed) helix if ``True`` segments: cubic Bezier segments per turn c 3nKd}||z z}|dz}td||D]\}}}} t|j z|j z||z|z t|j z|j z||z|zt| j z| j z||zf||z }yw)Ngg?r)rrxy) banglerzzz_stepz_step_2_v1v2v3prxrys r"bezier_ctrl_pointsz!helix..bezier_ctrl_pointss !A%C<8E8LMAr2rRTTBYr 2=1+<=RTTBYr 2=1+<=RTTBYr 2;7  &LB MsB2B5ctj|}d|z d|z z|zz}tj|d|z ztj|z}||z S)N?g@g@)mathcossintan)alphacos_ab_1b_2rRs r"param_bzhelix..param_bsYU{sU{+e3a7hhuou-?Syr#r)rr()r\r3returnr3) r rXtaupiintfloorlistrangerr!zrceil)r+pitchturnsccwrrUr`rrI full_turns curve_paramsrNrirOrPrQreminderrRrSrTs @@@r"rrsp.  B B S vq!n %D A("#ATZZ&'JA~.q$((HEF z"AQ488::&A* Bq2vq2vq2v6+# z!H$99X\* Htww&1 2 Atxxzz ",Q80CXNJBB NN1r61r61r6 2O Kr#) rr3rr3rrerMatrix44 | Nonerbr )r N)r%r r r) r*rr+r3r,r3r-r3rbr)r r N)r5r3r6r3rrqrbr )NrWN) r<rer:z float | Noner+r3rrqrbr )N) r<rer?r3r@r3rrqrbr )r<rerBr3rCr3r6r3rDr3rrqrbr )Tra) r+r3rkr3rlr3rrerbr ) __future__rrX ezdxf.mathrrrrr ezdxf.renderr rr r __all__rcr rrrrrrrr#r"rxs#  xx!% !)!)!)!) !)  !)N!% ")")")") ")  ")L I I I I I  I@GK) )#)4C) )< !% 9 9 9 9 9  949:"& 9 999  9  9  9 9H  A A A A  A  Ar#