\i!SrSSKJr SSKJrJr SSKJr /SQr\"S/\ S9\SSj55r \"S/\ S9\SS j55r \SS j5r \S 5r \S 5rg )zLinear geometry functions.)lib)deprecate_positionalmultithreading_enabled)UnsupportedGEOSVersionError)line_interpolate_pointline_locate_point line_merge shared_paths shortest_line normalized)categoryc hU(a[R"X5$[R"X5$)aReturn a point interpolated at given distance on a line. Parameters ---------- line : Geometry or array_like For multilinestrings or geometrycollections, the first geometry is taken and the rest is ignored. This function raises a TypeError for non-linear geometries. For empty linear geometries, empty points are returned. distance : float or array_like Negative values measure distance from the end of the line. Out-of-range values will be clipped to the line endings. normalized : bool, default False If True, the distance is a fraction of the total line length instead of the absolute distance. **kwargs See :ref:`NumPy ufunc docs ` for other keyword arguments. Examples -------- >>> import shapely >>> from shapely import LineString >>> line = LineString([(0, 2), (0, 10)]) >>> shapely.line_interpolate_point(line, 2) >>> shapely.line_interpolate_point(line, 100) >>> shapely.line_interpolate_point(line, -2) >>> shapely.line_interpolate_point(line, [0.25, -0.25], normalized=True).tolist() [, ] >>> shapely.line_interpolate_point(LineString(), 1) )r!line_interpolate_point_normalizedr)linedistancer kwargss Q/var/www/html/kml_chatgpt/mouzaenv/lib/python3.13/site-packages/shapely/linear.pyrrs*J44TDD))$99c hU(a[R"X5$[R"X5$)aReturn the distance to the line origin of given point. If given point does not intersect with the line, the point will first be projected onto the line after which the distance is taken. Parameters ---------- line : Geometry or array_like Line or lines to calculate the distance to. other : Geometry or array_like Point or points to calculate the distance from. normalized : bool, default False If True, the distance is a fraction of the total line length instead of the absolute distance. **kwargs See :ref:`NumPy ufunc docs ` for other keyword arguments. Examples -------- >>> import shapely >>> from shapely import LineString, Point >>> line = LineString([(0, 2), (0, 10)]) >>> point = Point(4, 4) >>> shapely.line_locate_point(line, point) 2.0 >>> shapely.line_locate_point(line, point, normalized=True) 0.25 >>> shapely.line_locate_point(line, Point(0, 18)) 8.0 >>> shapely.line_locate_point(LineString(), point) nan )rline_locate_point_normalizedr)rotherr rs rrrLs*H//<<$$T11rc U(aG[RS:a[SR"S/SQ765e[R"U40UD6$[R "U40UD6$)aReturn (Multi)LineStrings formed by combining the lines in a MultiLineString. Lines are joined together at their endpoints in case two lines are intersecting. Lines are not joined when 3 or more lines are intersecting at the endpoints. Line elements that cannot be joined are kept as is in the resulting MultiLineString. The direction of each merged LineString will be that of the majority of the LineStrings from which it was derived. Except if ``directed=True`` is specified, then the operation will not change the order of points within lines and so only lines which can be joined with no change in direction are merged. Parameters ---------- line : Geometry or array_like Linear geometry or geometries to merge. directed : bool, default False Only combine lines if possible without changing point order. Requires GEOS >= 3.11.0 **kwargs See :ref:`NumPy ufunc docs ` for other keyword arguments. Examples -------- >>> import shapely >>> from shapely import MultiLineString >>> shapely.line_merge(MultiLineString([[(0, 2), (0, 10)], [(0, 10), (5, 10)]])) >>> shapely.line_merge(MultiLineString([[(0, 2), (0, 10)], [(0, 11), (5, 10)]])) >>> shapely.line_merge(MultiLineString()) >>> shapely.line_merge(MultiLineString([[(0, 0), (1, 0)], [(0, 0), (3, 0)]])) >>> shapely.line_merge(MultiLineString([[(0, 0), (1, 0)], [(0, 0), (3, 0)]]), directed=True) ) rz%'{}' requires at least GEOS {}.{}.{}.r )r geos_versionrformatline_merge_directedr )rdirectedrs rr r vshT   j (-7>> #-  &&t6v66 >>$ )& ))rc 0[R"X40UD6$)aGReturn the shared paths between a and b. Both geometries should be linestrings or arrays of linestrings. A geometrycollection or array of geometrycollections is returned with two elements in each geometrycollection. The first element is a multilinestring containing shared paths with the same direction for both inputs. The second element is a multilinestring containing shared paths with the opposite direction for the two inputs. Parameters ---------- a, b : Geometry or array_like Linestring or linestrings to compare. **kwargs See :ref:`NumPy ufunc docs ` for other keyword arguments. Examples -------- >>> import shapely >>> from shapely import LineString >>> line1 = LineString([(0, 0), (1, 0), (1, 1), (0, 1), (0, 0)]) >>> line2 = LineString([(1, 0), (2, 0), (2, 1), (1, 1), (1, 0)]) >>> shapely.shared_paths(line1, line2).wkt 'GEOMETRYCOLLECTION (MULTILINESTRING EMPTY, MULTILINESTRING ((1 0, 1 1)))' >>> line3 = LineString([(1, 1), (0, 1)]) >>> shapely.shared_paths(line1, line3).wkt 'GEOMETRYCOLLECTION (MULTILINESTRING ((1 1, 0 1)), MULTILINESTRING EMPTY)' )rr abrs rr r s>   A +F ++rc 0[R"X40UD6$)aReturn the shortest line between two geometries. The resulting line consists of two points, representing the nearest points between the geometry pair. The line always starts in the first geometry `a` and ends in the second geometry `b`. The endpoints of the line will not necessarily be existing vertices of the input geometries `a` and `b`, but can also be a point along a line segment. Parameters ---------- a, b : Geometry or array_like Geometry or geometries to compare. **kwargs See :ref:`NumPy ufunc docs ` for other keyword arguments. See Also -------- prepare : improve performance by preparing ``a`` (the first argument) Examples -------- >>> import shapely >>> from shapely import LineString >>> line1 = LineString([(0, 0), (1, 0), (1, 1), (0, 1), (0, 0)]) >>> line2 = LineString([(0, 3), (3, 0), (5, 3)]) >>> shapely.shortest_line(line1, line2) )rr r s rr r s>   Q ,V ,,rN)F)__doc__shapelyrshapely.decoratorsrrshapely.errorsr__all__DeprecationWarningrrr r r rrr+s K6 "|n/AB&:C&:d|n/AB%2C%2P1*1*h,,B--r