from shapely.geometry.polygon import LinearRing, LineString from shapely.geometry import Polygon, MultiLineString from shapely.ops import polygonize from shapely.geometry import MultiPolygon from anytree import AnyNode, PreOrderIter, LevelOrderGroupIter from shapely.geometry.polygon import orient from depq import DEPQ from enum import IntEnum from ..stitches import tangential_fill_stitch_pattern_creator from ..stitches import constants def offset_linear_ring(ring, offset, side, resolution, join_style, mitre_limit): """ Solves following problem: When shapely offsets a LinearRing the start/end point might be handled wrongly since they are only treated as LineString. (See e.g. https://i.stack.imgur.com/vVh56.png as a problematic example) This method checks first whether the start/end point form a problematic edge with respect to the offset side. If it is not a problematic edge we can use the normal offset_routine. Otherwise we need to perform two offsets: -offset the ring -offset the start/end point + its two neighbors left and right Finally both offsets are merged together to get the correct offset of a LinearRing """ coords = ring.coords[:] # check whether edge at index 0 is concave or convex. Only for # concave edges we need to spend additional effort dx_seg1 = dy_seg1 = 0 if coords[0] != coords[-1]: dx_seg1 = coords[0][0] - coords[-1][0] dy_seg1 = coords[0][1] - coords[-1][1] else: dx_seg1 = coords[0][0] - coords[-2][0] dy_seg1 = coords[0][1] - coords[-2][1] dx_seg2 = coords[1][0] - coords[0][0] dy_seg2 = coords[1][1] - coords[0][1] # use cross product: crossvalue = dx_seg1 * dy_seg2 - dy_seg1 * dx_seg2 sidesign = 1 if side == "left": sidesign = -1 # We do not need to take care of the joint n-0 since we # offset along a concave edge: if sidesign * offset * crossvalue <= 0: return ring.parallel_offset(offset, side, resolution, join_style, mitre_limit) # We offset along a convex edge so we offset the joint n-0 separately: if coords[0] != coords[-1]: coords.append(coords[0]) offset_ring1 = ring.parallel_offset( offset, side, resolution, join_style, mitre_limit ) offset_ring2 = LineString((coords[-2], coords[0], coords[1])).parallel_offset( offset, side, resolution, join_style, mitre_limit ) # Next we need to merge the results: if offset_ring1.geom_type == "LineString": return LinearRing(offset_ring2.coords[:] + offset_ring1.coords[1:-1]) else: # We have more than one resulting LineString for offset of # the geometry (ring) = offset_ring1. # Hence we need to find the LineString which belongs to the # offset of element 0 in coords =offset_ring2 # in order to add offset_ring2 geometry to it: result_list = [] thresh = constants.offset_factor_for_adjacent_geometry * abs(offset) for offsets in offset_ring1: if ( abs(offsets.coords[0][0] - coords[0][0]) < thresh and abs(offsets.coords[0][1] - coords[0][1]) < thresh ): result_list.append( LinearRing(offset_ring2.coords[:] + offsets.coords[1:-1]) ) else: result_list.append(LinearRing(offsets)) return MultiLineString(result_list) def take_only_valid_linear_rings(rings): """ Removes all geometries which do not form a "valid" LinearRing (meaning a ring which does not form a straight line) """ if rings.geom_type == "MultiLineString": new_list = [] for ring in rings: if len(ring.coords) > 3 or ( len(ring.coords) == 3 and ring.coords[0] != ring.coords[-1] ): new_list.append(ring) if len(new_list) == 1: return LinearRing(new_list[0]) else: return MultiLineString(new_list) else: if len(rings.coords) <= 2: return LinearRing() elif len(rings.coords) == 3 and rings.coords[0] == rings.coords[-1]: return LinearRing() else: return rings def make_tree_uniform_ccw(root): """ Since naturally holes have the opposite point ordering than non-holes we make all lines within the tree "root" uniform (having all the same ordering direction) """ for node in PreOrderIter(root): if node.id == "hole": node.val.coords = list(node.val.coords)[::-1] # Used to define which stitching strategy shall be used class StitchingStrategy(IntEnum): CLOSEST_POINT = 0 INNER_TO_OUTER = 1 SPIRAL = 2 def check_and_prepare_tree_for_valid_spiral(root): """ Takes a tree consisting of offsetted curves. If a parent has more than one child we cannot create a spiral. However, to make the routine more robust, we allow more than one child if only one of the childs has own childs. The other childs are removed in this routine then. If the routine returns true, the tree will have been cleaned up from unwanted childs. If the routine returns false even under the mentioned weaker conditions the tree cannot be connected by one spiral. """ for children in LevelOrderGroupIter(root): if len(children) > 1: count = 0 child_with_children = None for child in children: if not child.is_leaf: count += 1 child_with_children = child if count > 1: return False elif count == 1: child_with_children.parent.children = [child_with_children] else: # count == 0 means all childs have no children so we take only the longest child max_length = 0 longest_child = None for child in children: if child.val.length > max_length: max_length = child.val.length longest_child = child longest_child.parent.children = [longest_child] return True def offset_poly(poly, offset, join_style, stitch_distance, offset_by_half, strategy, starting_point): # noqa: C901 """ Takes a polygon (which can have holes) as input and creates offsetted versions until the polygon is filled with these smaller offsets. These created geometries are afterwards connected to each other and resampled with a maximum stitch_distance. The return value is a LineString which should cover the full polygon. Input: -poly: The shapely polygon which can have holes -offset: The used offset for the curves -join_style: Join style for the offset - can be round, mitered or bevel (https://shapely.readthedocs.io/en/stable/manual.html#shapely.geometry.JOIN_STYLE) For examples look at https://shapely.readthedocs.io/en/stable/_images/parallel_offset.png -stitch_distance maximum allowed stitch distance between two points -offset_by_half: True if the points shall be interlaced -strategy: According to StitchingStrategy enum class you can select between different strategies for the connection between parent and childs. In addition it offers the option "SPIRAL" which creates a real spiral towards inner. In contrast to the other two options, "SPIRAL" does not end at the starting point but at the innermost point -starting_point: Defines the starting point for the stitching Output: -List of point coordinate tuples -Tag (origin) of each point to analyze why a point was placed at this position """ if strategy == StitchingStrategy.SPIRAL and len(poly.interiors) > 1: raise ValueError( "Single spiral geometry must not have more than one hole!") ordered_poly = orient(poly, -1) ordered_poly = ordered_poly.simplify( constants.simplification_threshold, False) root = AnyNode( id="node", val=ordered_poly.exterior, already_rastered=False, transferred_point_priority_deque=DEPQ(iterable=None, maxlen=None), ) active_polys = [root] active_holes = [[]] for holes in ordered_poly.interiors: active_holes[0].append( AnyNode( id="hole", val=holes, already_rastered=False, transferred_point_priority_deque=DEPQ( iterable=None, maxlen=None), ) ) while len(active_polys) > 0: current_poly = active_polys.pop() current_holes = active_holes.pop() poly_inners = [] outer = offset_linear_ring( current_poly.val, offset, "left", resolution=5, join_style=join_style, mitre_limit=10, ) outer = outer.simplify(constants.simplification_threshold, False) outer = take_only_valid_linear_rings(outer) for j in range(len(current_holes)): inner = offset_linear_ring( current_holes[j].val, offset, "left", resolution=5, join_style=join_style, mitre_limit=10, ) inner = inner.simplify(constants.simplification_threshold, False) inner = take_only_valid_linear_rings(inner) if not inner.is_empty: poly_inners.append(Polygon(inner)) if not outer.is_empty: if len(poly_inners) == 0: if outer.geom_type == "LineString": result = Polygon(outer) else: result = MultiPolygon(polygonize(outer)) else: if outer.geom_type == "LineString": result = Polygon(outer).difference( MultiPolygon(poly_inners)) else: result = MultiPolygon(outer).difference( MultiPolygon(poly_inners)) if not result.is_empty and result.area > offset * offset / 10: result_list = [] if result.geom_type == "Polygon": result_list = [result] else: result_list = list(result) for polygon in result_list: polygon = orient(polygon, -1) if polygon.area < offset * offset / 10: continue polygon = polygon.simplify( constants.simplification_threshold, False ) poly_coords = polygon.exterior poly_coords = take_only_valid_linear_rings(poly_coords) if poly_coords.is_empty: continue node = AnyNode( id="node", parent=current_poly, val=poly_coords, already_rastered=False, transferred_point_priority_deque=DEPQ( iterable=None, maxlen=None ), ) active_polys.append(node) hole_node_list = [] for hole in polygon.interiors: hole_node = AnyNode( id="hole", val=hole, already_rastered=False, transferred_point_priority_deque=DEPQ( iterable=None, maxlen=None ), ) for previous_hole in current_holes: if Polygon(hole).contains(Polygon(previous_hole.val)): previous_hole.parent = hole_node hole_node_list.append(hole_node) active_holes.append(hole_node_list) for previous_hole in current_holes: # If the previous holes are not # contained in the new holes they # have been merged with the # outer polygon if previous_hole.parent is None: previous_hole.parent = current_poly make_tree_uniform_ccw(root) if strategy == StitchingStrategy.CLOSEST_POINT: (connected_line, connected_line_origin) = tangential_fill_stitch_pattern_creator.connect_raster_tree_nearest_neighbor( root, offset, stitch_distance, starting_point, offset_by_half) elif strategy == StitchingStrategy.INNER_TO_OUTER: (connected_line, connected_line_origin) = tangential_fill_stitch_pattern_creator.connect_raster_tree_from_inner_to_outer( root, offset, stitch_distance, starting_point, offset_by_half) elif strategy == StitchingStrategy.SPIRAL: if not check_and_prepare_tree_for_valid_spiral(root): raise ValueError("Geometry cannot be filled with one spiral!") (connected_line, connected_line_origin) = tangential_fill_stitch_pattern_creator.connect_raster_tree_spiral( root, offset, stitch_distance, starting_point, offset_by_half) else: raise ValueError("Invalid stitching stratety!") return connected_line, connected_line_origin