Cidr4 merge algorithm #5
+13
-149
@@ -1,10 +1,6 @@
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import cProfile
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import cProfile
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import sys
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from collections import defaultdict
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sys.setrecursionlimit(10_000)
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Node = tuple[int, int, int]
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Node = tuple[int, int, int, int]
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class Cidr4MergerError(Exception):
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class Cidr4MergerError(Exception):
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@@ -23,12 +19,11 @@ def cidr4_to_node(cidr4: str) -> Node:
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a, b, c, d = list(map(int, ip_address.split(".")))
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a, b, c, d = list(map(int, ip_address.split(".")))
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ip = a * 256**3 + b * 256**2 + c * 256**1 + d * 256**0
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ip = a * 256**3 + b * 256**2 + c * 256**1 + d * 256**0
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added_ips_number = 0
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added_ips_number = 0
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parent_ip = get_parent_ip(ip, mask_len)
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return ip, mask_len, added_ips_number
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return ip, mask_len, added_ips_number, parent_ip
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def sort_nodes(nodes: list[Node]) -> list[Node]:
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def sort_nodes(nodes: list[Node]) -> list[Node]:
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return sorted(nodes, key=lambda x: (x[1], x[0]))
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return sorted(nodes)
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def get_net_addr(ip: int, mask_len: int) -> int:
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def get_net_addr(ip: int, mask_len: int) -> int:
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@@ -43,72 +38,9 @@ def get_parent_ip(ip: int, mask_len: int) -> int:
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return get_net_addr(ip, mask_len - 1)
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return get_net_addr(ip, mask_len - 1)
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def have_same_parent(mask_len_a, parent_ip_a, mask_len_b, parent_ip_b) -> bool:
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def make_parent(a: Node, b: Node) -> Node:
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return mask_len_a == mask_len_b and parent_ip_a == parent_ip_b
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ip, mask_len, added_ips_number = None
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return ip, mask_len, added_ips_number
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def get_group_with_max_mask_len(nodes: list[Node]) -> list[Node]:
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max_mask_len = max(nodes, key=lambda x: x[1])[1]
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return list(filter(lambda x: x[1] == max_mask_len, nodes))
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def make_parent(a: Node, b: Node | None = None) -> Node:
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ip_a, mask_len_a, added_ips_number_a, parent_ip_a = a
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if b:
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ip_b, mask_len_b, added_ips_b, parent_ip_b = b
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if not have_same_parent(mask_len_a, parent_ip_a, mask_len_b, parent_ip_b):
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raise Cidr4MergerError("Nodes must be neighbors!")
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added_ips_number = added_ips_number_a + added_ips_b
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else:
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added_ips_number = added_ips_number_a + 2 ** (32 - mask_len_a)
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ip = parent_ip_a
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mask_len = mask_len_a - 1
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parent_ip = get_parent_ip(ip, mask_len)
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return ip, mask_len, added_ips_number, parent_ip
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def reduce_nodes(nodes: list[Node]) -> list[Node]:
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group = get_group_with_max_mask_len(nodes)
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neighbours = []
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loners = []
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i = 0
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while i < len(group) - 1:
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a, b = group[i], group[i + 1]
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ip_a, mask_len_a, _, parent_ip_a = a
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ip_b, mask_len_b, _, parent_ip_b = b
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if have_same_parent(mask_len_a, parent_ip_a, mask_len_b, parent_ip_b):
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neighbours.append((a, b))
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i += 2
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else:
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loners.append(a)
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i += 1
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if i == len(group) - 1:
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loners.append(group[i])
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if neighbours:
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zipped = zip(neighbours, map(lambda x: make_parent(x[0], x[1]), neighbours))
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min_zipped = min(zipped, key=lambda x: x[1][2])
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(a, b), parent = min_zipped
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nodes.remove(a)
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nodes.remove(b)
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nodes.append(parent)
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elif loners:
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zipped = zip(loners, map(make_parent, loners))
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min_zipped = min(zipped, key=lambda x: x[1][2])
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a, parent = min_zipped
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nodes.remove(a)
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nodes.append(parent)
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else:
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assert False, "Error"
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return sort_nodes(nodes)
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def merge_nodes_deprecated(nodes: list[Node], required_len: int) -> list[Node]:
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while len(nodes) > required_len:
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nodes = reduce_nodes(nodes)
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return nodes
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def make_cidr4(ip, mask_len) -> str:
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def make_cidr4(ip, mask_len) -> str:
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@@ -117,81 +49,14 @@ def make_cidr4(ip, mask_len) -> str:
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return f"{ip_address}/{mask_len}"
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return f"{ip_address}/{mask_len}"
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def lift_lonely_node(nodes: list[Node], singles: list[Node]) -> list[Node]:
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def merge_nodes(nodes_to_merge: list[Node], required_len: int) -> list[Node]:
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# find single whose parent has the least added addresses
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min_single, min_parent = singles[0], make_parent(singles[0])
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for node in singles[1:]:
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parent = make_parent(node)
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if parent[2] < min_parent[2]:
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min_single, min_parent = node, parent
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nodes.remove(min_single)
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nodes.append(min_parent)
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nodes = sort_nodes(nodes)
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return nodes
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def merge_neighbors(
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nodes: list[Node], neighbours: list[tuple[Node, Node]]
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) -> list[Node]:
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for a, b in neighbours:
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parent = make_parent(a, b)
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nodes.remove(a)
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nodes.remove(b)
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nodes.append(parent)
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return sort_nodes(nodes)
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def find_neighbours_singles(groups: defaultdict) -> tuple[list, list]:
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neighbours = []
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singles = []
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for group in groups.values():
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i = 0
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while i < len(group) - 1:
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a, b = group[i], group[i + 1]
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ip_a, mask_len_a, _, parent_ip_a = a
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ip_b, mask_len_b, _, parent_ip_b = b
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if have_same_parent(mask_len_a, parent_ip_a, mask_len_b, parent_ip_b):
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neighbours.append((a, b))
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i += 2
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else:
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singles.append(a)
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i += 1
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if i == len(group) - 1:
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singles.append(group[i])
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return neighbours, singles
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def make_groups(nodes: list[Node]) -> defaultdict:
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groups = defaultdict(list)
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for n in nodes:
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groups[n[1]].append(n)
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return groups
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def merge_nodes_recursion(nodes: list[Node], required_len: int) -> list[Node]:
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if len(nodes) <= required_len:
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return nodes
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groups = make_groups(nodes)
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neighbours, singles = find_neighbours_singles(groups)
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if neighbours:
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new_nodes = merge_neighbors(nodes, neighbours)
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return merge_nodes_recursion(new_nodes, required_len)
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new_nodes = lift_lonely_node(nodes, singles)
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return merge_nodes_recursion(new_nodes, required_len)
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def merge_nodes_cycle(nodes_to_merge: list[Node], required_len: int) -> list[Node]:
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nodes = [x for x in nodes_to_merge]
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nodes = [x for x in nodes_to_merge]
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while not len(nodes) <= required_len:
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# преобразовать список нод в список туплов: родитель (ip, mask len, added ips), d_ip = кол-во добавляемых адресов
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groups = make_groups(nodes)
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# найти подходящего родителя (с минимальным значением d_ip), затем мержить два узла:
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neighbours, singles = find_neighbours_singles(groups)
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# 1) если в соседних ветках
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if neighbours:
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# 2) если один из узлов находится в подсети у другого
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nodes = merge_neighbors(nodes, neighbours)
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# повторить пока не достигнем нужного кол-ва узлов
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elif singles:
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nodes = lift_lonely_node(nodes, singles)
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else:
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raise Cidr4MergerError("Invalid case!")
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return nodes
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return nodes
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@@ -203,7 +68,6 @@ def main():
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nodes = list(map(cidr4_to_node, data))
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nodes = list(map(cidr4_to_node, data))
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nodes = sort_nodes(nodes)
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nodes = sort_nodes(nodes)
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# merged_nodes = merge_nodes_deprecated(nodes, required_len)
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# merged_nodes = merge_nodes_recursion(nodes, required_len)
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# merged_nodes = merge_nodes_recursion(nodes, required_len)
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merged_nodes = merge_nodes_cycle(nodes, required_len)
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merged_nodes = merge_nodes_cycle(nodes, required_len)
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+18
-308
@@ -3,20 +3,10 @@ import pytest
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from cidr4_merger import (
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from cidr4_merger import (
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Cidr4MergerError,
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Cidr4MergerError,
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cidr4_to_node,
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cidr4_to_node,
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find_neighbours_singles,
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get_group_with_max_mask_len,
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get_net_addr,
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get_net_addr,
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get_parent_ip,
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get_parent_ip,
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have_same_parent,
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lift_lonely_node,
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make_cidr4,
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make_cidr4,
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make_groups,
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make_parent,
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make_parent,
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merge_neighbors,
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merge_nodes_cycle,
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merge_nodes_deprecated,
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merge_nodes_recursion,
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reduce_nodes,
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sort_nodes,
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sort_nodes,
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)
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)
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@@ -45,18 +35,18 @@ ip_d = int(bin_d, 2)
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def test_cidr4_to_node():
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def test_cidr4_to_node():
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assert cidr4_to_node("4.78.139.0/24") == (72256256, 24, 0, 72256000)
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assert cidr4_to_node("4.78.139.0/24") == (72256256, 24, 0)
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assert cidr4_to_node("0.0.0.0/32") == (0, 32, 0, 0)
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assert cidr4_to_node("0.0.0.0/32") == (0, 32, 0)
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assert cidr4_to_node("23.234.30.0/24") == (401219072, 24, 0, 401219072)
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assert cidr4_to_node("23.234.30.0/24") == (401219072, 24, 0)
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assert cidr4_to_node("172.217.0.0/19") == (2899902464, 19, 0, 2899902464)
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assert cidr4_to_node("172.217.0.0/19") == (2899902464, 19, 0)
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assert cidr4_to_node("23.225.141.0/24") == (400657664, 24, 0, 400657408)
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assert cidr4_to_node("23.225.141.0/24") == (400657664, 24, 0)
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assert cidr4_to_node("31.13.94.0/23") == (520969728, 23, 0, 520969216)
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assert cidr4_to_node("31.13.94.0/23") == (520969728, 23, 0)
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assert cidr4_to_node("0.0.0.0/2") == (0, 2, 0, 0)
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assert cidr4_to_node("0.0.0.0/2") == (0, 2, 0)
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assert cidr4_to_node("64.0.0.0/2") == (1073741824, 2, 0, 0)
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assert cidr4_to_node("64.0.0.0/2") == (1073741824, 2, 0)
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assert cidr4_to_node("128.0.0.0/2") == (2147483648, 2, 0, 2147483648)
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assert cidr4_to_node("128.0.0.0/2") == (2147483648, 2, 0)
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assert cidr4_to_node("192.0.0.0/2") == (3221225472, 2, 0, 2147483648)
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assert cidr4_to_node("192.0.0.0/2") == (3221225472, 2, 0)
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def test_make_cidr4():
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def test_make_cidr4():
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@@ -87,49 +77,22 @@ def test_get_parent_mask():
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assert exc_info.type is Cidr4MergerError
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assert exc_info.type is Cidr4MergerError
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def test_have_same_parent():
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assert have_same_parent(ip_c, 6, ip_c, 6) is True
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assert have_same_parent(ip_c, 6, ip_c, 5) is False
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assert have_same_parent(ip_a, 6, ip_d, 6) is False
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assert have_same_parent(ip_a, 6, 0, 1) is False
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assert have_same_parent(ip_a, 6, 0, 0) is False
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def test_sort_nodes():
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def test_sort_nodes():
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assert sort_nodes(
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assert sort_nodes(
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[
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[
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(401219072, 24, 0, 401219072),
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(401219072, 24, 0),
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(2899902464, 19, 0, 2899902464),
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(2899902464, 19, 0),
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(400657664, 24, 0, 400657408),
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(400657664, 24, 0),
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(520969728, 23, 0, 520969216),
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(520969728, 23, 0),
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]
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]
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) == [
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) == [
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(2899902464, 19, 0, 2899902464),
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(2899902464, 19, 0),
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(520969728, 23, 0, 520969216),
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(400657664, 24, 0),
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(400657664, 24, 0, 400657408),
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(401219072, 24, 0),
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(401219072, 24, 0, 401219072),
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(520969728, 23, 0),
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]
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]
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def test_get_group_with_max_mask_len():
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assert get_group_with_max_mask_len(
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[
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(2899902464, 19, 0, 2899902464),
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(520969728, 23, 0, 520969216),
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(400657664, 24, 0, 400657408),
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(401219072, 24, 0, 401219072),
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]
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) == [(400657664, 24, 0, 400657408), (401219072, 24, 0, 401219072)]
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assert get_group_with_max_mask_len(
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[
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(401219072, 24, 0, 401219072),
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(2899902464, 19, 0, 2899902464),
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(520969728, 23, 0, 520969216),
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]
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) == [(401219072, 24, 0, 401219072)]
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def test_make_parent():
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def test_make_parent():
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assert make_parent((0, 2, 12, 0), (1073741824, 2, 3, 0)) == (0, 1, 15, 0)
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assert make_parent((0, 2, 12, 0), (1073741824, 2, 3, 0)) == (0, 1, 15, 0)
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assert make_parent(
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assert make_parent(
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@@ -140,256 +103,3 @@ def test_make_parent():
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make_parent((0, 2, 12, 0), (3221225472, 2, 2, 2147483648))
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make_parent((0, 2, 12, 0), (3221225472, 2, 2, 2147483648))
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assert str(exc_info.value) == "Nodes must be neighbors!"
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assert str(exc_info.value) == "Nodes must be neighbors!"
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assert exc_info.type is Cidr4MergerError
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assert exc_info.type is Cidr4MergerError
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def test_reduce_nodes():
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assert reduce_nodes(
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[
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(0, 2, 12, 0),
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(1073741824, 2, 3, 0),
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]
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) == [
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(0, 1, 15, 0),
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]
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assert reduce_nodes(
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[
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(0, 2, 12, 0),
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(1073741824, 2, 3, 0),
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(2147483648, 2, 1, 2147483648),
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(3221225472, 2, 2, 2147483648),
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]
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) == [
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(2147483648, 1, 3, 0),
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(0, 2, 12, 0),
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(1073741824, 2, 3, 0),
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]
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|
||||||
assert reduce_nodes(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 1, 0, 0),
|
|
||||||
]
|
|
||||||
) == [
|
|
||||||
(0, 1, 12 + 2**30, 0),
|
|
||||||
(2147483648, 1, 0, 0),
|
|
||||||
]
|
|
||||||
|
|
||||||
with pytest.raises(Exception) as exc_info:
|
|
||||||
reduce_nodes(
|
|
||||||
[
|
|
||||||
(0, 1, 12 + 2**30, 0),
|
|
||||||
(2147483648, 1, 0, 0),
|
|
||||||
]
|
|
||||||
)
|
|
||||||
assert exc_info.type is Cidr4MergerError
|
|
||||||
assert str(exc_info.value) == "The top of the tree has no parent!"
|
|
||||||
|
|
||||||
|
|
||||||
def test_merge_nodes_deprecated():
|
|
||||||
assert merge_nodes_deprecated(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
],
|
|
||||||
2,
|
|
||||||
) == [
|
|
||||||
(2147483648, 1, 3, 0),
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
]
|
|
||||||
|
|
||||||
with pytest.raises(Exception) as exc_info:
|
|
||||||
merge_nodes_deprecated(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
],
|
|
||||||
1,
|
|
||||||
)
|
|
||||||
assert exc_info.type is Cidr4MergerError
|
|
||||||
assert str(exc_info.value) == "The top of the tree has no parent!"
|
|
||||||
|
|
||||||
|
|
||||||
def test_make_groups():
|
|
||||||
nodes = [
|
|
||||||
(2398793728, 20, 0, 2398789632),
|
|
||||||
(2899943424, 20, 0, 2899943424),
|
|
||||||
(3627728896, 20, 0, 3627728896),
|
|
||||||
(520963072, 22, 0, 520962048),
|
|
||||||
(1089054720, 22, 0, 1089054720),
|
|
||||||
(2899902464, 19, 0, 2899902464),
|
|
||||||
(2915221504, 19, 0, 2915221504),
|
|
||||||
]
|
|
||||||
assert dict(make_groups(nodes)) == {
|
|
||||||
20: [
|
|
||||||
(2398793728, 20, 0, 2398789632),
|
|
||||||
(2899943424, 20, 0, 2899943424),
|
|
||||||
(3627728896, 20, 0, 3627728896),
|
|
||||||
],
|
|
||||||
22: [(520963072, 22, 0, 520962048), (1089054720, 22, 0, 1089054720)],
|
|
||||||
19: [(2899902464, 19, 0, 2899902464), (2915221504, 19, 0, 2915221504)],
|
|
||||||
}
|
|
||||||
|
|
||||||
|
|
||||||
@pytest.fixture
|
|
||||||
def nodes_only_neighbours():
|
|
||||||
return [
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(1073741824, 2, 3, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
]
|
|
||||||
|
|
||||||
|
|
||||||
@pytest.fixture
|
|
||||||
def nodes_only_singles():
|
|
||||||
return [
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
]
|
|
||||||
|
|
||||||
|
|
||||||
@pytest.fixture
|
|
||||||
def nodes_with_neighbours_n_singles():
|
|
||||||
return [
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(1073741824, 2, 3, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
]
|
|
||||||
|
|
||||||
|
|
||||||
@pytest.fixture
|
|
||||||
def groups_only_neighbours(nodes_only_neighbours):
|
|
||||||
return make_groups(nodes_only_neighbours)
|
|
||||||
|
|
||||||
|
|
||||||
@pytest.fixture
|
|
||||||
def groups_only_singles(nodes_only_singles):
|
|
||||||
return make_groups(nodes_only_singles)
|
|
||||||
|
|
||||||
|
|
||||||
@pytest.fixture
|
|
||||||
def groups_with_neighbours_n_singles(nodes_with_neighbours_n_singles):
|
|
||||||
return make_groups(nodes_with_neighbours_n_singles)
|
|
||||||
|
|
||||||
|
|
||||||
def test_find_neighbours_singles(
|
|
||||||
groups_only_neighbours,
|
|
||||||
groups_only_singles,
|
|
||||||
groups_with_neighbours_n_singles,
|
|
||||||
):
|
|
||||||
assert find_neighbours_singles(groups_only_neighbours) == (
|
|
||||||
[
|
|
||||||
((0, 2, 12, 0), (1073741824, 2, 3, 0)),
|
|
||||||
((2147483648, 2, 1, 2147483648), (3221225472, 2, 2, 2147483648)),
|
|
||||||
],
|
|
||||||
[],
|
|
||||||
)
|
|
||||||
|
|
||||||
assert find_neighbours_singles(groups_only_singles) == (
|
|
||||||
[],
|
|
||||||
[(0, 2, 12, 0), (2147483648, 2, 1, 2147483648)],
|
|
||||||
)
|
|
||||||
|
|
||||||
assert find_neighbours_singles(groups_with_neighbours_n_singles) == (
|
|
||||||
[((0, 2, 12, 0), (1073741824, 2, 3, 0))],
|
|
||||||
[(2147483648, 2, 1, 2147483648)],
|
|
||||||
)
|
|
||||||
|
|
||||||
|
|
||||||
def test_merge_neighbors__only_neighbours(nodes_only_neighbours):
|
|
||||||
new_nodes = merge_neighbors(
|
|
||||||
nodes_only_neighbours,
|
|
||||||
[
|
|
||||||
((0, 2, 12, 0), (1073741824, 2, 3, 0)),
|
|
||||||
((2147483648, 2, 1, 2147483648), (3221225472, 2, 2, 2147483648)),
|
|
||||||
],
|
|
||||||
)
|
|
||||||
assert new_nodes == [
|
|
||||||
(0, 1, 15, 0),
|
|
||||||
(2147483648, 1, 3, 0),
|
|
||||||
]
|
|
||||||
|
|
||||||
|
|
||||||
def test_merge_neighbors__neighbours_n_singles(nodes_with_neighbours_n_singles):
|
|
||||||
new_nodes = merge_neighbors(
|
|
||||||
nodes_with_neighbours_n_singles,
|
|
||||||
[((0, 2, 12, 0), (1073741824, 2, 3, 0))],
|
|
||||||
)
|
|
||||||
assert new_nodes == [
|
|
||||||
(0, 1, 15, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
]
|
|
||||||
|
|
||||||
|
|
||||||
def test_lift_lonely_node(nodes_only_singles):
|
|
||||||
singles = [(0, 2, 12, 0), (2147483648, 2, 1, 2147483648)]
|
|
||||||
new_nodes = lift_lonely_node(nodes_only_singles, singles)
|
|
||||||
assert new_nodes == [(2147483648, 1, 1073741825, 0), (0, 2, 12, 0)]
|
|
||||||
|
|
||||||
|
|
||||||
def test_merge_nodes_recursion():
|
|
||||||
assert merge_nodes_recursion(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
],
|
|
||||||
2,
|
|
||||||
) == [
|
|
||||||
(2147483648, 1, 3, 0),
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
]
|
|
||||||
|
|
||||||
with pytest.raises(Exception) as exc_info:
|
|
||||||
merge_nodes_recursion(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
],
|
|
||||||
1,
|
|
||||||
)
|
|
||||||
assert exc_info.type is Cidr4MergerError
|
|
||||||
assert str(exc_info.value) == "The top of the tree has no parent!"
|
|
||||||
|
|
||||||
|
|
||||||
def test_merge_nodes_cycle():
|
|
||||||
assert merge_nodes_cycle(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
],
|
|
||||||
2,
|
|
||||||
) == [
|
|
||||||
(2147483648, 1, 3, 0),
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
]
|
|
||||||
|
|
||||||
with pytest.raises(Exception) as exc_info:
|
|
||||||
merge_nodes_cycle(
|
|
||||||
[
|
|
||||||
(0, 2, 12, 0),
|
|
||||||
(2147483648, 2, 1, 2147483648),
|
|
||||||
(3221225472, 2, 2, 2147483648),
|
|
||||||
],
|
|
||||||
1,
|
|
||||||
)
|
|
||||||
assert exc_info.type is Cidr4MergerError
|
|
||||||
assert str(exc_info.value) == "The top of the tree has no parent!"
|
|
||||||
|
|
||||||
|
|
||||||
def test_merge_nodes_recursion_vs_cycle():
|
|
||||||
required_len = 20
|
|
||||||
|
|
||||||
test_data = test_cidr4_data.strip().splitlines()
|
|
||||||
test_nodes = list(map(cidr4_to_node, test_data))
|
|
||||||
test_nodes = sort_nodes(test_nodes)
|
|
||||||
|
|
||||||
merged_nodes_recursion = merge_nodes_recursion(test_nodes, required_len)
|
|
||||||
merged_nodes_cycle = merge_nodes_cycle(test_nodes, required_len)
|
|
||||||
|
|
||||||
assert merged_nodes_recursion == merged_nodes_cycle
|
|
||||||
|
|||||||
Reference in New Issue
Block a user
Здесь за один проход объединяются все возможные объединения, таким образом мы можем промахнуться мимо цели в
Mэлементов списка.Здесь не хватает возвращения количества адресов, "попавших под раздачу": не принадлежащих начальному списку, но попавших в результат из-за объединения. Это количество позволит найти оптимальное решение.
Я думаю, использование внешней библиотеки (и вообще любой библиотеки) размывает смысл алгоритма: хотя из следующих строк понятно, что будет сделано; однако не очевидно, как это будет сделано, и будет ли оптимальный ответ, и будет ли оптимальное решение (что не обязательно).
Мне кажется, что функция
merge_nodesсодержит не все свои обязанности, некоторые из них похоже вложись в функциюreduce_nodes. Стоит их переместить.Алгоритм слишком много делает каждый шаг, из-за этого работает медленно. Как мне кажется, для оптимизации стоит разработать алгоритм начиная с рекурсии, возможно их будет штук 5 связанных, зато это позволит определить характеристики отдельных кусков и принять решение по оптимизации.
Пора перенести тесты в отдельный файл?