def test_traverse(self):
#
# Binary Tree
#
# Standard
node = Tree(n_children=2)
node.split()
node.get_child(0).split()
node.get_child(0).get_child(1).remove()
addresses = {
'breadth-first': [[], [0], [1], [0, 0]],
'depth-first': [[], [0], [0, 0], [1]]
}
for mode in ['depth-first', 'breadth-first']:
count = 0
for leaf in node.traverse(mode=mode):
self.assertEqual(leaf.get_node_address(),\
addresses[mode][count],\
'Binary tree traversal incorrect.')
count += 1
#
# Quadtree
#
node = Tree(n_children=4)
node.split()
node.get_child(1).split()
node.get_child(1).get_child(2).remove()
addresses = [[], [0], [1], [2], [3], [1, 0], [1, 1], [1, 3]]
count = 0
for n in node.traverse(mode='breadth-first'):
self.assertEqual(n.get_node_address(), addresses[count],\
'Incorrect address.')
count += 1
def test_get_children(self):
#
# Binomial Tree
#
node = Tree(n_children=2)
node.split()
count = 0
pos = [0, 1]
for child in node.get_children():
self.assertEqual(child.get_node_position(), pos[count],\
'Incorrect child.')
count += 1
# Reversed
count = 0
for child in node.get_children(reverse=True):
self.assertEqual(child.get_node_position(), pos[-1 - count])
count += 1
# Flagged
child_0 = node.get_child(0)
child_0.mark(1)
for child in node.get_children(flag=1):
self.assertEqual(child, child_0, \
'The only marked child is child_0')
#
# Quadtree
#
node = Tree(n_children=4)
node.split()
count = 0
pos = [0, 1, 2, 3]
for child in node.get_children():
self.assertEqual(child.get_node_position(), pos[count],\
'Incorrect child.')
count += 1
#
# Now remove child
#
node.delete_children(position=0)
count = 0
for child in node.get_children():
count += 1
self.assertEqual(count, 3, 'There should only be 3 children left.')
#
# Node with no children
#
node = Tree(n_children=4)
for child in node.get_children():
print('Hallo')
#
# Try a logical statement
#
self.assertFalse(any([child.is_marked(1) for \
child in node.get_children()]), \
'No marked children because there are none.')
def test_remove(self):
#
# Remove child 2
#
node = Tree(n_children=4)
node.split()
child = node.get_child(2)
child.remove()
self.assertIsNone(node.get_child(2))
def test_find_node(self):
node = Tree(n_children=4)
address = [0, 2, 3, 0]
# No-one lives at this address: return None
self.assertIsNone(node.find_node(address))
# Generate node with given address and try to recover it.
for a in address:
node.split()
node = node.get_child(a)
self.assertEqual(node, node.get_root().find_node(address))
def test_set_node_type(self):
# Define a new node
node = Tree(n_children=3)
# Should complain about changing root to branch
self.assertRaises(Exception, node.set_node_type, *('BRANCH'))
# Split
node.split()
child = node.get_child(0)
self.assertRaises(Exception, child.set_node_type, *('ROOT'))
self.assertRaises(Exception, child.set_node_type, *('BRANCH'))
def test_find_node(self):
t0 = Tree(2)
t1 = Tree(3)
forest = Forest([t0, t1])
t0.split()
t00 = t0.get_child(0)
t00.split()
t001 = t00.get_child(1)
self.assertEqual(forest.find_node([0, 0, 1]), t001)
self.assertIsNone(forest.find_node([4, 5, 6]))
def test_get_depth(self):
# New node should have depth 0
node = Tree(n_children=2)
self.assertEqual(node.get_depth(), 0, 'ROOT node should have depth 0')
# Split node 10 times
for _ in range(10):
node.split()
node = node.get_child(1)
# Last generation should have depth 10
self.assertEqual(node.get_depth(), 10, 'Node should have depth 10.')
self.assertEqual(node.get_root().get_depth(), 0, \
'ROOT node should have depth 0')
def test_delete_children(self):
#
# Delete child 2
#
node = Tree(n_children=4)
node.split()
node.delete_children(2)
self.assertIsNone(node.get_child(2))
#
# Delete all children
#
node.delete_children()
self.assertFalse(node.has_children())
def test_constructor(self):
t0 = Tree(2)
# Check whether all entries are Trees
self.assertRaises(Exception, Forest, **{'trees': [t0, 0]})
# Check whether Trees are roots
t0.split()
t00 = t0.get_child(0)
self.assertRaises(Exception, Forest, **{'trees': [t0, t00]})
t1 = Tree(4)
forest = Forest([t0, t1])
self.assertEqual(len(forest._trees), 2)
def test_n_children(self):
for n in range(10):
#
# Define regular node with n children
#
node = Tree(n_children=n)
# check if number of children correct
self.assertEqual(node.n_children(),n,\
'Number of children incorrect')
# split node and check if children inherit the same number of children
node.split()
for child in node.get_children():
self.assertEqual(child.n_children(),n,\
'Children have incorrect number of children.')
def test_get_child(self):
# New node
node = Tree(n_children=5)
node.split()
# Access child directly and mark it 1
child_4 = node._children[4]
child_4.mark(1)
# Access child via function
child_4_v1 = node.get_child(4)
# Check whether it's the same child.
self.assertTrue(child_4_v1.is_marked(1), 'Child 4 should be marked 1.')
self.assertEqual(child_4_v1, child_4, 'Children should be the same.')
def test_tree_depth(self):
# New node should have depth 0
node = Tree(n_children=2)
self.assertEqual(node.tree_depth(),0,\
'Tree should have depth 0')
# Split node 10 times
for i in range(10):
node.split()
node = node.get_child(1)
# All nodes should have the same tree_depth
self.assertEqual(node.tree_depth(),10,\
'Tree should have depth 10.')
self.assertEqual(node.get_root().tree_depth(),10,\
'Tree should have depth 10.')
def test_get_node_type(self):
# Define new ROOT node
node = Tree(n_children=2)
self.assertEqual(node.get_node_type(),'ROOT',\
'Output "node_type" should be "ROOT".')
# Split node and assert that its child is a LEAF
node.split()
child = node.get_child(0)
self.assertEqual(node.get_node_type(),'ROOT',\
'Output "node_type" should be "ROOT".')
self.assertEqual(child.get_node_type(),'LEAF',\
'Output "node_type" should be "LEAF".')
# Split the child and assert that it is now a BRANCH
child.split()
self.assertEqual(child.get_node_type(),'BRANCH',\
'Output "node_type" should be "BRANCH".')
def test_get_leaves(self):
#
# 1D
#
node = Tree(2)
forest = Forest([node])
leaves = forest.get_leaves()
# Only a ROOT node, it should be the only LEAF
self.assertEqual(leaves, [node], 'Cell should be its own leaf.')
#
# Split cell and L child - find leaves
#
node.split()
l_child = node.get_child(0)
l_child.split()
leaves = forest.get_leaves()
self.assertEqual(len(leaves), 3, 'Cell should have 3 leaves.')
#
# Depth first order
#
addresses_depth_first = [[0, 0, 0], [0, 0, 1], [0, 1]]
leaves = forest.get_leaves(mode='depth-first')
for i in range(len(leaves)):
leaf = leaves[i]
self.assertEqual(leaf.get_node_address(), addresses_depth_first[i],
'Incorrect order, depth first search.')
#
# Breadth first order
#
addresses_breadth_first = [[0, 1], [0, 0, 0], [0, 0, 1]]
leaves = node.get_leaves(mode='breadth-first')
for i in range(len(leaves)):
leaf = leaves[i]
self.assertEqual(leaf.get_node_address(),
addresses_breadth_first[i],
'Incorrect order, breadth first search.')
node.get_child(0).get_child(0).mark('1')
node.get_child(1).mark('1')
node.make_rooted_subtree('1')
leaves = node.get_leaves(subtree_flag='1')
self.assertEqual(len(leaves),2, \
'There should only be 2 flagged leaves')
#
# 2D
#
node = Tree(4)
forest = Forest([node])
#
# Split cell and SW child - find leaves
#
node.split()
sw_child = node.get_child(0)
sw_child.split()
leaves = node.get_leaves()
self.assertEqual(len(leaves), 7, 'Node should have 7 leaves.')
#
# Nested traversal
#
leaves = node.get_leaves()
self.assertEqual(leaves[0].get_node_address(),[0,1], \
'The first leaf in the nested enumeration should have address [1]')
leaves = node.get_leaves(mode='depth-first')
self.assertEqual(leaves[0].get_node_address(), [0,0,0], \
'First leaf in un-nested enumeration should be [0,0].')
#
# Merge SW child - find leaves
#
sw_child.delete_children()
leaves = node.get_leaves()
self.assertEqual(len(leaves), 4, 'Node should have 4 leaves.')
#
# Marked Leaves
#
node = Tree(4)
node.mark(1)
forest = Forest([node])
self.assertTrue(node in forest.get_leaves(flag=1), \
'Node should be a marked leaf node.')
self.assertTrue(node in forest.get_leaves(), \
'Node should be a marked leaf node.')
node.split()
sw_child = node.get_child(0)
sw_child.split()
sw_child.mark(1)
self.assertEqual(node.get_leaves(subtree_flag=1), \
[sw_child], 'SW child should be only marked leaf')
sw_child.remove()
self.assertEqual(forest.get_leaves(subforest_flag=1), \
[node], 'node should be only marked leaf')
#
# Nested traversal
#
node = Tree(4)
node.split()
forest = Forest([node])
for child in node.get_children():
child.split()
node.get_child(1).mark(1, recursive=True)
node.get_child(3).mark(1)
forest.root_subtrees(1)
leaves = forest.get_leaves(subforest_flag=1)
self.assertEqual(len(leaves), 7, 'This tree has 7 flagged LEAF nodes.')
self.assertEqual(leaves[0], node.get_child(0),
'The first leaf should be the NE child.')
self.assertEqual(leaves[3],
node.get_child(1).get_child(0),
'4th flagged leaf should be SE-NW grandchild.')
def test_split(self):
node = Tree(n_children=5)
self.assertFalse(node.has_children(), 'Node should not have children.')
node.split()
self.assertTrue(node.has_children(), 'Node should now have children.')
def test_traverse(self):
#
# Binary Tree
#
# Standard
node = Tree(2)
forest = Forest([node])
node.split()
node.get_child(0).split()
node.get_child(0).get_child(1).remove()
addresses = {
'breadth-first': [[0], [0, 0], [0, 1], [0, 0, 0]],
'depth-first': [[0], [0, 0], [0, 0, 0], [0, 1]]
}
for mode in ['depth-first', 'breadth-first']:
count = 0
for leaf in forest.traverse(mode=mode):
self.assertEqual(leaf.get_node_address(),
addresses[mode][count]),
count += 1
#
# QuadTree
#
node = Tree(4)
forest = Forest([node])
node.split()
node.get_child(1).split()
node.get_child(1).get_child(2).remove()
addresses = [[0], [0, 0], [0, 1], [0, 2], [0, 3], [0, 1, 0], [0, 1, 1],
[0, 1, 3]]
count = 0
for n in node.traverse(mode='breadth-first'):
self.assertEqual(n.get_node_address(), addresses[count],\
'Incorrect address.')
count += 1
#
# Forest with one quadtree and one bitree
#
bi = Tree(2)
quad = Tree(4)
forest = Forest([bi, quad])
bi.split()
bi.get_child(0).split()
quad.split()
addresses = {
'breadth-first': [[0], [1], [0, 0], [0, 1], [1, 0], [1, 1], [1, 2],
[1, 3], [0, 0, 0], [0, 0, 1]],
'depth-first': [[0], [0, 0], [0, 0, 0], [0, 0, 1], [0, 1], [1],
[1, 0], [1, 1], [1, 2], [1, 3]]
}
for mode in ['depth-first', 'breadth-first']:
count = 0
for leaf in forest.traverse(mode=mode):
self.assertEqual(leaf.get_node_address(),
addresses[mode][count])
count += 1
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Fri May 21 14:57:53 2021
@author: hans-werner
"""
from mesh import Tree
import matplotlib.pyplot as plt
import numpy as np
tree = Tree(n_children=2, regular=True)
tree.split()
for c in tree.get_children():
c.split()
for cc in c.get_children():
cc.split()
print(tree.get_depth())
leaves = tree.get_leaves()
leaves.pop()
w = 0
max_depth = 0
for leaf in leaves:
ld = leaf.get_depth()
w += 2**(-leaf.get_depth())
if ld > max_depth:
