\iSrSSKrSSKrSSKJr SSKJrJr SSK J r S/r "SS\5r \ \RRS'g) z#Line strings and related utilities.N)deprecate_positional) JOIN_STYLE BaseGeometry)Point LineStringc\rSrSrSr/rSSjr\S5rSSjr \S5r \ "/SQ\ S 9S \ RS 4S j5rS S \ RS 4SjrSrg)r aaA geometry type composed of one or more line segments. A LineString is a one-dimensional feature and has a non-zero length but zero area. It may approximate a curve and need not be straight. A LineString may be closed. Parameters ---------- coordinates : sequence A sequence of (x, y, [,z]) numeric coordinate pairs or triples, or an array-like with shape (N, 2) or (N, 3). Also can be a sequence of Point objects, or combination of both. Examples -------- Create a LineString with two segments >>> from shapely import LineString >>> a = LineString([[0, 0], [1, 0], [1, 1]]) >>> a.length 2.0 NcUc[R"S5$[U[5(a![ U5[LaU$UR nO[ US5(a[R"U5n[U[R5(a5[R"UR[R5(aOSnUVs/sH o2"U5PM nn[U5S:Xa[R"S5$[R"U5n[U[5(d [S5eU$s snf)z!Create a new LineString geometry.zLINESTRING EMPTY __array__c[U[5(aURS$UVs/sHn[U5PM sn$s snf)Nr) isinstancercoordsfloat)ocs ^/var/www/html/kml_chatgpt/mouzaenv/lib/python3.13/site-packages/shapely/geometry/linestring.py_coords#LineString.__new__.._coords?s9!!U++ xx{*234!Qa!444sArz/Invalid values passed to LineString constructor)shapelyfrom_wktr rtyperhasattrnpasarrayndarray issubdtypedtypenumberlen linestrings ValueError)self coordinatesrrgeoms r__new__LineString.__new__(s   ##$67 7  Z 0 0K J.""*00 {K00 jj5 +rzz22r}}!!299885 4??;awqz; ? { q ##$67 7"";/$ ++NO O @sEc2S[UR5S.$)z9Return a GeoJSON-like mapping of the LineString geometry.r)rr#)tuplerr"s r__geo_interface__LineString.__geo_interface__Qs%U4;;5GHHc UR(agUcUR(aSOSnUcSnSRURVs/sHnSR"U6PM sn5nSUSS U-S US US 3 $s snf) aReturn SVG polyline element for the LineString geometry. Parameters ---------- scale_factor : float Multiplication factor for the SVG stroke-width. Default is 1. stroke_color : str, optional Hex string for stroke color. Default is to use "#66cc99" if geometry is valid, and "#ff3333" if invalid. opacity : float Float number between 0 and 1 for color opacity. Default value is 0.8 zz#66cc99z#ff3333g? z{},{}z)is_emptyis_validjoinrformat)r" scale_factor stroke_coloropacityr pnt_formats rsvgLineString.svgVs ==  (, 99L ?GXX4;;G;aw~~q1;GH ,\N; </01!l+gYd < Hs A;c.URR$)zSeparate arrays of X and Y coordinate values. Examples -------- >>> from shapely import LineString >>> x, y = LineString([(0, 0), (1, 1)]).xy >>> list(x) [0.0, 1.0] >>> list(y) [0.0, 1.0] )rxyr)s rr: LineString.xyqs{{~~r, quad_segs join_style mitre_limit)categoryg@cUS:Xa [S5e[R"U5(d [S5e[R"UUUUUS9$)aReturn a (Multi)LineString at a distance from the object. The side, left or right, is determined by the sign of the `distance` parameter (negative for right side offset, positive for left side offset). The resolution of the buffer around each vertex of the object increases by increasing the `quad_segs` keyword parameter. The join style is for outside corners between line segments. Accepted values are JOIN_STYLE.round (1), JOIN_STYLE.mitre (2), and JOIN_STYLE.bevel (3). The mitre ratio limit is used for very sharp corners. It is the ratio of the distance from the corner to the end of the mitred offset corner. When two line segments meet at a sharp angle, a miter join will extend far beyond the original geometry. To prevent unreasonable geometry, the mitre limit allows controlling the maximum length of the join corner. Corners with a ratio which exceed the limit will be beveled. Note: the behaviour regarding orientation of the resulting line depends on the GEOS version. With GEOS < 3.11, the line retains the same direction for a left offset (positive distance) or has reverse direction for a right offset (negative distance), and this behaviour was documented as such in previous Shapely versions. Starting with GEOS 3.11, the function tries to preserve the orientation of the original line. gz3Cannot compute offset from zero-length line segmentz$offset_curve distance must be finiter<)r!risfiniter offset_curve)r"distancer=r>r?s rrDLineString.offset_curvesVH # RS SX&&CD D##  !#   r,rightc<US:XaUS-nURUUUUS9$)abAlternative method to :meth:`offset_curve` method. Older alternative method to the :meth:`offset_curve` method, but uses ``resolution`` instead of ``quad_segs`` and a ``side`` keyword ('left' or 'right') instead of sign of the distance. This method is kept for backwards compatibility for now, but is is recommended to use :meth:`offset_curve` instead. rGr<)rD)r"rEside resolutionr>r?s rparallel_offsetLineString.parallel_offsets8 7? NH   !# !  r,)N)g?NN)__name__ __module__ __qualname____firstlineno____doc__ __slots__r%propertyr*r7r:rDeprecationWarningrroundrDrL__static_attributes__rNr,rrr s0I'RII 6  .2=O ## + + `##  r,)rSnumpyrrshapely.decoratorsrshapely.geometry.baserrshapely.geometry.pointr__all__rlibregistryrNr,rrasC)3:( .C C L% Qr,