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"""Geometry models."""
from __future__ import annotations
class Geometry:
"""Represents a geometry."""
class Point(Geometry):
"""Represents a point."""
def __init__(self, latitude: float, longitude: float):
"""Initialise point."""
self._latitude: float = latitude
self._longitude: float = longitude
def __repr__(self):
"""Return string representation of this point."""
return "<{}(latitude={}, longitude={})>".format(
self.__class__.__name__, self.latitude, self.longitude
)
def __hash__(self) -> int:
"""Return unique hash of this geometry."""
return hash((self.latitude, self.longitude))
def __eq__(self, other: object) -> bool:
"""Return if this object is equal to other object."""
return (
self.__class__ == other.__class__
and self.latitude == other.latitude
and self.longitude == other.longitude
)
@property
def latitude(self) -> float | None:
"""Return the latitude of this point."""
return self._latitude
@property
def longitude(self) -> float | None:
"""Return the longitude of this point."""
return self._longitude
class Polygon(Geometry):
"""Represents a polygon."""
def __init__(self, points: list[Point]):
"""Initialise polygon."""
self._points: list[Point] = points
def __repr__(self):
"""Return string representation of this polygon."""
return f"<{self.__class__.__name__}(centroid={self.centroid})>"
def __hash__(self) -> int:
"""Return unique hash of this geometry."""
return hash(self.points)
def __eq__(self, other: object) -> bool:
"""Return if this object is equal to other object."""
return self.__class__ == other.__class__ and self.points == other.points
@property
def points(self) -> list[Point] | None:
"""Return the points of this polygon."""
return self._points
@property
def edges(self) -> list[tuple[Point, Point]]:
"""Return all edges of this polygon."""
edges: list[tuple[Point, Point]] = []
for i in range(1, len(self.points)):
previous = self.points[i - 1]
current = self.points[i]
edges.append((previous, current))
return edges
@property
def centroid(self) -> Point:
"""Find the polygon's centroid as a best approximation."""
longitudes_list: list[float] = [point.longitude for point in self.points]
latitudes_list: list[float] = [point.latitude for point in self.points]
number_of_points: int = len(self.points)
longitude: float = sum(longitudes_list) / number_of_points
latitude: float = sum(latitudes_list) / number_of_points
return Point(latitude, longitude)
def is_inside(self, point: Point | None) -> bool:
"""Check if the provided point is inside this polygon."""
if point:
crossings: int = 0
for edge in self.edges:
if Polygon._ray_crosses_segment(point, edge):
crossings += 1
return crossings % 2 == 1
return False
@staticmethod
def _ray_crosses_segment(point: Point, edge: tuple[Point, Point]):
"""Use ray-casting algorithm to check provided point and edge."""
a, b = edge
px = point.longitude
py = point.latitude
ax = a.longitude
ay = a.latitude
bx = b.longitude
by = b.latitude
if ay > by:
ax = b.longitude
ay = b.latitude
bx = a.longitude
by = a.latitude
# Alter longitude to cater for 180 degree crossings.
if px < 0:
px += 360.0
if ax < 0:
ax += 360.0
if bx < 0:
bx += 360.0
if py == ay or py == by:
py += 0.00000001
if (py > by or py < ay) or (px > max(ax, bx)):
return False
if px < min(ax, bx):
return True
red = ((by - ay) / (bx - ax)) if (ax != bx) else float("inf")
blue = ((py - ay) / (px - ax)) if (ax != px) else float("inf")
return blue >= red
class BoundingBox(Geometry):
"""Represents a bounding box (bbox)."""
# <!--gdacs: bbox format = lonmin lonmax latmin latmax -->
# <gdacs:bbox> 164.5652 172.5652 -24.9041 -16.9041 </gdacs:bbox>
def __init__(self, bottom_left: Point, top_right: Point):
"""Initialise bounding box."""
self._bottom_left: Point = bottom_left
self._top_right: Point = top_right
def __repr__(self):
"""Return string representation of this bounding box."""
return "<{}(bottom_left={}, top_right={})>".format(
self.__class__.__name__, self._bottom_left, self._top_right
)
def __hash__(self) -> int:
"""Return unique hash of this geometry."""
return hash((self.bottom_left, self.top_right))
def __eq__(self, other: object) -> bool:
"""Return if this object is equal to other object."""
return (
self.__class__ == other.__class__
and self.bottom_left == other.bottom_left
and self.top_right == other.top_right
)
@property
def bottom_left(self) -> Point:
"""Return bottom left point."""
return self._bottom_left
@property
def top_right(self) -> Point:
"""Return top right point."""
return self._top_right
@property
def centroid(self) -> Point:
"""Find the bounding box's centroid as a best approximation."""
transposed_top_right_longitude: float = self._top_right.longitude
if self._bottom_left.longitude > self._top_right.longitude:
# bounding box spans across 180 degree longitude
transposed_top_right_longitude = self._top_right.longitude + 360
longitude: float = (
self._bottom_left.longitude + transposed_top_right_longitude
) / 2
latitude: float = (self._bottom_left.latitude + self._top_right.latitude) / 2
return Point(latitude, longitude)
def is_inside(self, point: Point) -> bool:
"""Check if the provided point is inside this bounding box."""
if point:
transposed_point_longitude: float = point.longitude
transposed_top_right_longitude = self._top_right.longitude
if self._bottom_left.longitude > self._top_right.longitude:
# bounding box spans across 180 degree longitude
transposed_top_right_longitude = self._top_right.longitude + 360
if point.longitude < 0:
transposed_point_longitude += 360
return (
self._bottom_left.latitude <= point.latitude <= self._top_right.latitude
) and (
self._bottom_left.longitude
<= transposed_point_longitude
<= transposed_top_right_longitude
)
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