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node.py
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from common import *
class TreeNode:
def __init__(self, center, dimension, max_points, max_depth, depth):
self.boundary = Boundary(center, dimension)
self.max_depth = max_depth
self.max_points = max_points
self._depth = depth
self._points = set([])
self._nodes = {}
@property
def splitted(self):
return len(self._nodes) > 0
def __len__(self):
if not self.splitted:
return len(self._points)
return sum(len(v) for v in self._nodes.values() if v)
def __str__(self):
s = 'Depth={}\t'
s += 'Length={}\t'
s += 'Partitions={}'
return s.format(self._depth, len(self._points), len(self._nodes))
def __iter__(self):
points = []
stack = [self]
while stack:
node = stack.pop()
for n in node._nodes.values():
stack.append(n)
points += node._points
return iter(points)
def split(self, quadrant):
x, y = self.boundary.center
dm = self.boundary.dimension / 2
mp = self.max_points
md = self.max_depth
dp = self._depth + 1
if quadrant == NORTH_WEST:
center = Point(x - dm, y + dm)
elif quadrant == NORTH_EAST:
center = Point(x + dm, y + dm)
elif quadrant == SOUTH_EAST:
center = Point(x + dm, y - dm)
elif quadrant == SOUTH_WEST:
center = Point(x - dm, y - dm)
self._nodes[quadrant] = TreeNode(center, dm, mp, md, dp)
@property
def _has_max_points(self):
return len(self._points) >= self.max_points
@property
def _is_max_depth(self):
return self._depth == self.max_depth
def _insert_at(self, point, quadrant):
if quadrant not in self._nodes:
self._points.add(point)
else:
self._nodes[quadrant].insert(point)
def insert(self, point):
quadrant = quadrants(self.boundary, point)
if quadrant == NO_QUADRANT:
return False
if not self._has_max_points or self._is_max_depth:
self._insert_at(point, quadrant)
return True
if quadrant not in self._nodes:
self.split(quadrant)
for p in self._points.copy():
if quadrants(self.boundary, p) == quadrant:
self._points.remove(p)
self._nodes[quadrant].insert(p)
return self._nodes[quadrant].insert(point)
def remove(self, point):
quadrant = quadrants(self.boundary, point)
if quadrant == NO_QUADRANT:
return False
if quadrant in self._nodes:
return self._nodes[quadrant].remove(point)
try:
self._points.remove(point)
return True
except: pass
return False
def update(self, new_point, old_point):
quadrant = quadrants(self.boundary, old_point)
if quadrant == NO_QUADRANT:
return False
if quadrant not in self._nodes:
try:
self._points.remove(old_point)
self._points.add(new_point)
return True
except:
return False
return self._nodes[quadrant].update(new_point, old_point)
def exist(self, point):
quadrant = quadrants(self.boundary, point)
if quadrant == NO_QUADRANT:
return False
if quadrant not in self._nodes:
return point in self._points
return self._nodes[quadrant].exist(point)
def quadrants(self, point):
return quadrants(self.boundary, point)
def depth(self, point):
quadrant = quadrants(self.boundary, point)
if quadrant == NO_QUADRANT:
return False
if quadrant not in self._nodes:
return self._depth if point in self._points else -1
return self._nodes[quadrant].depth(point)
def query_range(self, boundary):
points = set([])
if not intersects(self.boundary, boundary):
return points
for quadrant in self._nodes:
for p in self._nodes[quadrant].query_range(boundary):
if belongs(boundary, p):
points.add(p)
for p in self._points:
if belongs(boundary, p):
points.add(p)
return points
def _count_points(self, boundary):
if not intersects(self.boundary, boundary):
return 0
count = 0
for quadrant in self._nodes:
count += self._nodes[quadrant]._count_points(boundary)
return sum(1 for p in self._points if belongs(boundary, p)) + count
def knn(self, point, k, factor=.1):
if len(self) < k:
points = self.query_range(self.boundary)
return compute_knn(points, point, k)
points_count = 0
dimension = factor
while points_count <= k:
dimension += factor
points_count = self._count_points(Boundary(point, dimension))
points = self.query_range(Boundary(point, dimension))
return compute_knn(points, point, k)