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Alias of `point_on_surface`. rr5rrrrepresentative_pointksz!BaseGeometry.representative_pointcCs t|S)zImagine an elastic band stretched around the geometry: that's a convex hull, more or less The convex hull of a three member multipoint, for example, is a triangular polygon. )r4 convex_hullr5rrrrrszBaseGeometry.convex_hullcCs t|S)z$A figure that envelopes the geometry)r4enveloper5rrrr|szBaseGeometry.envelopecCs t|S)an Returns the oriented envelope (minimum rotated rectangle) that encloses the geometry. Unlike envelope this rectangle is not constrained to be parallel to the coordinate axes. If the convex hull of the object is a degenerate (line or point) this degenerate is returned. Alias of `minimum_rotated_rectangle`. r4oriented_enveloper5rrrrs zBaseGeometry.oriented_envelopecCs t|S)ah Returns the oriented envelope (minimum rotated rectangle) that encloses the geometry. Unlike `envelope` this rectangle is not constrained to be parallel to the coordinate axes. If the convex hull of the object is a degenerate (line or point) this degenerate is returned. Alias of `oriented_envelope`. rr5rrrminimum_rotated_rectangles z&BaseGeometry.minimum_rotated_rectangler0@Fc Ks|dd}|dur"tdt|}|dd} | dur:| }|r^t|d} td| d|dkrptd nt| std t j |||||||d S) a!Get a geometry that represents all points within a distance of this geometry. A positive distance produces a dilation, a negative distance an erosion. A very small or zero distance may sometimes be used to "tidy" a polygon. Parameters ---------- distance : float The distance to buffer around the object. resolution : int, optional The resolution of the buffer around each vertex of the object. quad_segs : int, optional Sets the number of line segments used to approximate an angle fillet. cap_style : shapely.BufferCapStyle or {'round', 'square', 'flat'}, default 'round' Specifies the shape of buffered line endings. BufferCapStyle.round ('round') results in circular line endings (see ``quad_segs``). Both BufferCapStyle.square ('square') and BufferCapStyle.flat ('flat') result in rectangular line endings, only BufferCapStyle.flat ('flat') will end at the original vertex, while BufferCapStyle.square ('square') involves adding the buffer width. join_style : shapely.BufferJoinStyle or {'round', 'mitre', 'bevel'}, default 'round' Specifies the shape of buffered line midpoints. BufferJoinStyle.ROUND ('round') results in rounded shapes. BufferJoinStyle.bevel ('bevel') results in a beveled edge that touches the original vertex. BufferJoinStyle.mitre ('mitre') results in a single vertex that is beveled depending on the ``mitre_limit`` parameter. mitre_limit : float, optional The mitre limit ratio is used for very sharp corners. The mitre ratio 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 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. single_side : bool, optional The side used is determined by the sign of the buffer distance: a positive distance indicates the left-hand side a negative distance indicates the right-hand side The single-sided buffer of point geometries is the same as the regular buffer. The End Cap Style for single-sided buffers is always ignored, and forced to the equivalent of CAP_FLAT. quadsegs : int, optional Deprecated alias for `quad_segs`. Returns ------- Geometry Notes ----- The return value is a strictly two-dimensional geometry. All Z coordinates of the original geometry will be ignored. Examples -------- >>> from shapely.wkt import loads >>> g = loads('POINT (0.0 0.0)') 16-gon approx of a unit radius circle: >>> g.buffer(1.0).area # doctest: +ELLIPSIS 3.1365484905459... 128-gon approximation: >>> g.buffer(1.0, 128).area # doctest: +ELLIPSIS 3.141513801144... triangle approximation: >>> g.buffer(1.0, 3).area 3.0 >>> list(g.buffer(1.0, cap_style=BufferCapStyle.square).exterior.coords) [(1.0, 1.0), (1.0, -1.0), (-1.0, -1.0), (-1.0, 1.0), (1.0, 1.0)] >>> g.buffer(1.0, cap_style=BufferCapStyle.square).area 4.0 quadsegsNz?The `quadsegs` argument is deprecated. Use `quad_segs` instead. resolutionrz-buffer() got an unexpected keyword argument ''gz3Cannot compute offset from zero-length line segmentzbuffer distance must be finite) quad_segs cap_style join_style mitre_limit single_sided) popr FutureWarninglistkeys TypeErrorr"npisfiniteallr4r) r6rrrrrrr{rrkwargrrrrs4^   zBaseGeometry.bufferTcCstj|||dS)a[Returns a simplified geometry produced by the Douglas-Peucker algorithm Coordinates of the simplified geometry will be no more than the tolerance distance from the original. Unless the topology preserving option is used, the algorithm may produce self-intersecting or otherwise invalid geometries. )preserve_topology)r4simplify)r6 tolerancerrrrrs zBaseGeometry.simplifycCs t|S)aConverts geometry to normal form (or canonical form). This method orders the coordinates, rings of a polygon and parts of multi geometries consistently. Typically useful for testing purposes (for example in combination with `equals_exact`). Examples -------- >>> from shapely import MultiLineString >>> line = MultiLineString([[(0, 0), (1, 1)], [(3, 3), (2, 2)]]) >>> line.normalize() )r4 normalizer5rrrr%szBaseGeometry.normalizeNcCstj|||dS)zz Returns the difference of the geometries. Refer to `shapely.difference` for full documentation.  grid_size)r4rkr6rgrrrrrk8szBaseGeometry.differencecCstj|||dS)z~ Returns the intersection of the geometries. Refer to `shapely.intersection` for full documentation. r)r4rerrrrre@szBaseGeometry.intersectioncCstj|||dS)z Returns the symmetric difference of the geometries. Refer to `shapely.symmetric_difference` for full documentation. r)r4rmrrrrrmHsz!BaseGeometry.symmetric_differencecCstj|||dS)zp Returns the union of the geometries. Refer to `shapely.union` for full documentation. r)r4rirrrrriPszBaseGeometry.unioncCstt|S)zWTrue if the geometry's coordinate sequence(s) have z values (are 3-dimensional))boolr4ror5rrrro[szBaseGeometry.has_zcCstt|S)z?True if the set of points in this geometry is empty, else False)rr4r;r5rrrr;aszBaseGeometry.is_emptycCstt|S)z1True if the geometry is a closed ring, else False)rr4is_ringr5rrrrfszBaseGeometry.is_ringcCs|jdkrdStt|S)zVTrue if the geometry is closed, else False Applicable only to 1-D geometries.r T)r%rr4 is_closedr5rrrrks zBaseGeometry.is_closedcCstt|S)zsTrue if the geometry is simple, meaning that any self-intersections are only at boundary points, else False)rr4 is_simpler5rrrrtszBaseGeometry.is_simplecCstt|S)zSTrue if the geometry is valid (definition depends on sub-class), else False)rr4is_validr5rrrrzszBaseGeometry.is_validcCs t||S)zNReturns the DE-9IM intersection matrix for the two geometries (string))r4relaterfrrrrszBaseGeometry.relatecCstt||S)z9Returns True if the geometry covers the other, else False)r,r4coversrfrrrrszBaseGeometry.coverscCstt||S)z@Returns True if the geometry is covered by the other, else False)r,r4 covered_byrfrrrrszBaseGeometry.covered_bycCstt||S)z;Returns True if the geometry contains the other, else False)r,r4containsrfrrrrszBaseGeometry.containscCstt||S)z Returns True if the geometry completely contains the other, with no common boundary points, else False Refer to `shapely.contains_properly` for full documentation. )r,r4contains_properlyrfrrrrszBaseGeometry.contains_properlycCstt||S)z0Returns True if the geometries cross, else False)r,r4crossesrfrrrrszBaseGeometry.crossescCstt||S)z3Returns True if geometries are disjoint, else False)r,r4disjointrfrrrrszBaseGeometry.disjointcCstt||S)aReturns True if geometries are equal, else False. This method considers point-set equality (or topological equality), and is equivalent to (self.within(other) & self.contains(other)). Examples -------- >>> LineString( ... [(0, 0), (2, 2)] ... ).equals( ... LineString([(0, 0), (1, 1), (2, 2)]) ... ) True Returns ------- bool )r,r4equalsrfrrrrszBaseGeometry.equalscCstt||S)z0Returns True if geometries intersect, else False)r,r4 intersectsrfrrrrszBaseGeometry.intersectscCstt||S)z.Returns True if geometries overlap, else False)r,r4overlapsrfrrrrszBaseGeometry.overlapscCstt||S)z,Returns True if geometries touch, else False)r,r4touchesrfrrrrszBaseGeometry.touchescCstt||S)z8Returns True if geometry is within the other, else False)r,r4withinrfrrrrszBaseGeometry.withincCstt|||S)z Returns True if geometry is within a given distance from the other, else False. Refer to `shapely.dwithin` for full documentation. )r,r4dwithin)r6rgrrrrrszBaseGeometry.dwithincCstt|||S)aWTrue if geometries are equal to within a specified tolerance. Parameters ---------- other : BaseGeometry The other geometry object in this comparison. tolerance : float Absolute tolerance in the same units as coordinates. This method considers coordinate equality, which requires coordinates to be equal and in the same order for all components of a geometry. Because of this it is possible for "equals()" to be True for two geometries and "equals_exact()" to be False. Examples -------- >>> LineString( ... [(0, 0), (2, 2)] ... ).equals_exact( ... LineString([(0, 0), (1, 1), (2, 2)]), ... 1e-6 ... ) False Returns ------- bool )r,r4 equals_exact)r6rgrrrrrs!zBaseGeometry.equals_exactcCs$tdtdd||dd| S)aTrue if geometries are equal at all coordinates to a specified decimal place. .. deprecated:: 1.8.0 The 'almost_equals()' method is deprecated and will be removed in Shapely 2.1 because the name is confusing. The 'equals_exact()' method should be used instead. Refers to approximate coordinate equality, which requires coordinates to be approximately equal and in the same order for all components of a geometry. Because of this it is possible for "equals()" to be True for two geometries and "almost_equals()" to be False. Examples -------- >>> LineString( ... [(0, 0), (2, 2)] ... ).equals_exact( ... LineString([(0, 0), (1, 1), (2, 2)]), ... 1e-6 ... ) False Returns ------- bool zkThe 'almost_equals()' method is deprecated and will be removed in Shapely 2.1; use 'equals_exact()' insteadrrg? )rr r)r6rgdecimalrrr almost_equalss zBaseGeometry.almost_equalscCstt|||S)z|Returns True if the DE-9IM string code for the relationship between the geometries satisfies the pattern, else False)r,r4relate_pattern)r6rgpatternrrrrszBaseGeometry.relate_patterncCstj|||dS)zReturns the distance along this geometry to a point nearest the specified point If the normalized arg is True, return the distance normalized to the length of the linear geometry. 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