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			907 lines
		
	
	
	
		
			34 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
			
		
		
	
	
			907 lines
		
	
	
	
		
			34 KiB
		
	
	
	
		
			Python
		
	
	
	
	
	
# Tree routing scheme (named Yggdrasil, after the world tree from Norse mythology)
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# Steps:
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#   1: Pick any node, here I'm using highest nodeID
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#   2: Build spanning tree, each node stores path back to root
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#     Optionally with weights for each hop
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#     Ties broken by preferring a parent with higher degree
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#   3: Distance metric: self->peer + (via tree) peer->dest
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#   4: Perform (modified) greedy lookup via this metric for each direction (A->B and B->A)
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#   5: Source-route traffic using the better of those two paths
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# Note: This makes no attempt to simulate a dynamic network
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#   E.g. A node's peers cannot be disconnected
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# TODO:
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#   Make better use of drop?
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#   In particular, we should be ignoring *all* recently dropped *paths* to the root
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#     To minimize route flapping
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#     Not really an issue in the sim, but probably needed for a real network
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import array
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import gc
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import glob
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import gzip
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import heapq
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import os
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import random
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import time
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#############
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# Constants #
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#############
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# Reminder of where link cost comes in
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LINK_COST = 1
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# Timeout before dropping something, in simulated seconds
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TIMEOUT = 60
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###########
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# Classes #
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###########
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class PathInfo:
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  def __init__(self, nodeID):
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    self.nodeID = nodeID   # e.g. IP
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    self.coords = []       # Position in tree
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    self.tstamp = 0        # Timestamp from sender, to keep track of old vs new info
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    self.degree = 0        # Number of peers the sender has, used to break ties
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    # The above should be signed
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    self.path   = [nodeID] # Path to node (in path-vector route)
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    self.time   = 0        # Time info was updated, to keep track of e.g. timeouts
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    self.treeID = nodeID   # Hack, let tree use different ID than IP, used so we can dijkstra once and test many roots
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  def clone(self):
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    # Return a deep-enough copy of the path
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    clone = PathInfo(None)
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    clone.nodeID = self.nodeID
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    clone.coords = self.coords[:]
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    clone.tstamp = self.tstamp
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    clone.degree = self.degree
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    clone.path = self.path[:]
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    clone.time = self.time
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    clone.treeID = self.treeID
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    return clone
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# End class PathInfo
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class Node:
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  def __init__(self, nodeID):
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    self.info  = PathInfo(nodeID) # Self NodeInfo
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    self.root  = None             # PathInfo to node at root of tree
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    self.drop  = dict()           # PathInfo to nodes from clus that have timed out
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    self.peers = dict()           # PathInfo to peers
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    self.links = dict()           # Links to peers (to pass messages)
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    self.msgs  = []               # Said messages
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    self.table = dict()           # Pre-computed lookup table of peer info
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  def tick(self):
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    # Do periodic maintenance stuff, including push updates
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    self.info.time += 1
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    if self.info.time > self.info.tstamp + TIMEOUT/4:
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      # Update timestamp at least once every 1/4 timeout period
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      # This should probably be randomized in a real implementation
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      self.info.tstamp = self.info.time
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      self.info.degree = len(self.peers)
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      #self.info.degree = 0# TODO decide if degree should be used
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    changed = False # Used to track when the network has converged
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    changed |= self.cleanRoot()
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    self.cleanDropped()
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    # Should probably send messages infrequently if there's nothing new to report
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    if self.info.tstamp == self.info.time:
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      msg = self.createMessage()
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      self.sendMessage(msg)
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    return changed
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  def cleanRoot(self):
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    changed = False
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    if self.root and self.info.time - self.root.time > TIMEOUT:
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      print "DEBUG: clean root,", self.root.path
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      self.drop[self.root.treeID] = self.root
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      self.root = None
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      changed = True
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    if not self.root or self.root.treeID < self.info.treeID:
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      # No need to drop someone who'se worse than us
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      self.info.coords = [self.info.nodeID]
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      self.root = self.info.clone()
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      changed = True
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    elif self.root.treeID == self.info.treeID:
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      self.root = self.info.clone()
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    return changed
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  def cleanDropped(self):
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    # May actually be a treeID... better to iterate over keys explicitly
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    nodeIDs = sorted(self.drop.keys())
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    for nodeID in nodeIDs:
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      node = self.drop[nodeID]
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      if self.info.time - node.time > 4*TIMEOUT:
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        del self.drop[nodeID]
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    return None
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  def createMessage(self):
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    # Message is just a tuple
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    # First element is the sender
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    # Second element is the root
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    # We will .clone() everything during the send operation
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    msg = (self.info, self.root)
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    return msg
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  def sendMessage(self, msg):
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    for link in self.links.values():
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      newMsg = (msg[0].clone(), msg[1].clone())
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      link.msgs.append(newMsg)
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    return None
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  def handleMessages(self):
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    changed = False
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    while self.msgs:
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      changed |= self.handleMessage(self.msgs.pop())
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    return changed
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  def handleMessage(self, msg):
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    changed = False
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    for node in msg:
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      # Update the path and timestamp for the sender and root info
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      node.path.append(self.info.nodeID)
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      node.time = self.info.time
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    # Update the sender's info in our list of peers
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    sender = msg[0]
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    self.peers[sender.nodeID] = sender
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    # Decide if we want to update the root
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    root = msg[1]
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    updateRoot = False
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    isSameParent = False
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    isBetterParent = False
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    if len(self.root.path) > 1 and len(root.path) > 1:
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      parent = self.peers[self.root.path[-2]]
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      if parent.nodeID == sender.nodeID: isSameParent = True
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      if sender.degree > parent.degree:
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        # This would also be where you check path uptime/reliability/whatever
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        # All else being equal, we prefer parents with high degree
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        # We are trusting peers to report degree correctly in this case
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        # So expect some performance reduction if your peers aren't trustworthy
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        # (Lies can increase average stretch by a few %)
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        isBetterParent = True
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    if self.info.nodeID in root.path[:-1]: pass # No loopy routes allowed
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    elif root.treeID in self.drop and self.drop[root.treeID].tstamp >= root.tstamp: pass
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    elif not self.root: updateRoot = True
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    elif self.root.treeID < root.treeID: updateRoot = True
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    elif self.root.treeID != root.treeID: pass
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    elif self.root.tstamp > root.tstamp: pass
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    elif len(root.path) < len(self.root.path): updateRoot = True
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    elif isBetterParent and len(root.path) == len(self.root.path): updateRoot = True
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    elif isSameParent and self.root.tstamp < root.tstamp: updateRoot = True
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    if updateRoot:
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      if not self.root or self.root.path != root.path: changed = True
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      self.root = root
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      self.info.coords = self.root.path
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    return changed
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  def lookup(self, dest):
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    # Note: Can loop in an unconverged network
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    # The person looking up the route is responsible for checking for loops
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    best = None
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    bestDist = 0
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    bestDeg = 0
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    for node in self.peers.itervalues():
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      # dist = distance to node + dist (on tree) from node to dest
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      dist = len(node.path)-1 + treeDist(node.coords, dest.coords)
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      deg = node.degree
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      if not best or dist < bestDist or (best == bestDist and deg > bestDeg):
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        best = node
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        bestDist = dist
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        bestDeg = deg
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    if best:
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      next = best.path[-2]
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      assert next in self.peers
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      return next
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    else:
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      # We failed to look something up
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      # TODO some way to signal this which doesn't crash
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      assert False
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  def initTable(self):
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    # Pre-computes a lookup table for destination coords
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    # Insert parent first so you prefer them as a next-hop
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    self.table.clear()
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    parent = self.info.nodeID
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    if len(self.info.coords) >= 2: parent = self.info.coords[-2]
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    for peer in self.peers.itervalues():
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      current = self.table
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      for coord in peer.coords:
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        if coord not in current: current[coord] = (peer.nodeID, dict())
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        old = current[coord]
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        next = old[1]
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        oldPeer = self.peers[old[0]]
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        oldDist = len(oldPeer.coords)
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        oldDeg = oldPeer.degree
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        newDist = len(peer.coords)
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        newDeg = peer.degree
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        # Prefer parent
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        # Else prefer short distance from root
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        # If equal distance, prefer high degree
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        if peer.nodeID == parent: current[coord] = (peer.nodeID, next)
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        elif newDist < oldDist: current[coord] = (peer.nodeID, next)
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        elif newDist == oldDist and newDeg > oldDeg: current[coord] = (peer.nodeID, next)
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        current = next
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    return None
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  def lookup_new(self, dest):
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    # Use pre-computed lookup table to look up next hop for dest coords
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    assert self.table
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    if len(self.info.coords) >= 2: parent = self.info.coords[-2]
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    else: parent = None
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    current = (parent, self.table)
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    c = None
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    for coord in dest.coords:
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      c = coord
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      if coord not in current[1]: break
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      current = current[1][coord]
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    next = current[0]
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    if c in self.peers: next = c
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    if next not in self.peers:
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      assert next == None
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      # You're the root of a different connected component
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      # You'd drop the packet in this case
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      # To make the path cache not die, need to return a valid next hop...
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      # Returning self for that reason
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      next = self.info.nodeID
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    return next
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# End class Node
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####################
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# Helper Functions #
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####################
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def getIndexOfLCA(source, dest):
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  # Return index of last common ancestor in source/dest coords
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  # -1 if no common ancestor (e.g. different roots)
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  lcaIdx = -1
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  minLen = min(len(source), len(dest))
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  for idx in xrange(minLen):
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    if source[idx] == dest[idx]: lcaIdx = idx
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    else: break
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  return lcaIdx
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def treePath(source, dest):
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  # Return path with source at head and dest at tail
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  lastMatch = getIndexOfLCA(source, dest)
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  path = dest[-1:lastMatch:-1] + source[lastMatch:]
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  assert path[0] == dest[-1]
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  assert path[-1] == source[-1]
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  return path
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def treeDist(source, dest):
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  dist = len(source) + len(dest)
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  lcaIdx = getIndexOfLCA(source, dest)
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  dist -= 2*(lcaIdx+1)
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  return dist
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def dijkstra(nodestore, startingNodeID):
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  # Idea to use heapq and basic implementation taken from stackexchange post
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  # http://codereview.stackexchange.com/questions/79025/dijkstras-algorithm-in-python
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  nodeIDs = sorted(nodestore.keys())
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  nNodes = len(nodeIDs)
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  idxs = dict()
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  for nodeIdx in xrange(nNodes):
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    nodeID = nodeIDs[nodeIdx]
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    idxs[nodeID] = nodeIdx
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  dists = array.array("H", [0]*nNodes)
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  queue = [(0, startingNodeID)]
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  while queue:
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    dist, nodeID = heapq.heappop(queue)
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    idx = idxs[nodeID]
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    if not dists[idx]: # Unvisited, otherwise we skip it
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      dists[idx] = dist
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      for peer in nodestore[nodeID].links:
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        if not dists[idxs[peer]]:
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          # Peer is also unvisited, so add to queue
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          heapq.heappush(queue, (dist+LINK_COST, peer))
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  return dists
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def dijkstrall(nodestore):
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  # Idea to use heapq and basic implementation taken from stackexchange post
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  # http://codereview.stackexchange.com/questions/79025/dijkstras-algorithm-in-python
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  nodeIDs = sorted(nodestore.keys())
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  nNodes = len(nodeIDs)
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  idxs = dict()
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  for nodeIdx in xrange(nNodes):
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    nodeID = nodeIDs[nodeIdx]
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    idxs[nodeID] = nodeIdx
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  dists = array.array("H", [0]*nNodes*nNodes) # use GetCacheIndex(nNodes, start, end)
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  for sourceIdx in xrange(nNodes):
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    print "Finding shortest paths for node {} / {} ({})".format(sourceIdx+1, nNodes, nodeIDs[sourceIdx])
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    queue = [(0, sourceIdx)]
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    while queue:
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      dist, nodeIdx = heapq.heappop(queue)
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      distIdx = getCacheIndex(nNodes, sourceIdx, nodeIdx)
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      if not dists[distIdx]: # Unvisited, otherwise we skip it
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        dists[distIdx] = dist
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        for peer in nodestore[nodeIDs[nodeIdx]].links:
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          pIdx = idxs[peer]
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          pdIdx = getCacheIndex(nNodes, sourceIdx, pIdx)
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          if not dists[pdIdx]:
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            # Peer is also unvisited, so add to queue
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            heapq.heappush(queue, (dist+LINK_COST, pIdx))
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  return dists
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def linkNodes(node1, node2):
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  node1.links[node2.info.nodeID] = node2
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  node2.links[node1.info.nodeID] = node1
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############################
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# Store topology functions #
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############################
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def makeStoreSquareGrid(sideLength, randomize=True):
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  # Simple grid in a sideLength*sideLength square
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  # Just used to validate that the code runs
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  store = dict()
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  nodeIDs = list(range(sideLength*sideLength))
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  if randomize: random.shuffle(nodeIDs)
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  for nodeID in nodeIDs:
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    store[nodeID] = Node(nodeID)
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  for index in xrange(len(nodeIDs)):
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    if (index % sideLength != 0): linkNodes(store[nodeIDs[index]], store[nodeIDs[index-1]])
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    if (index >= sideLength): linkNodes(store[nodeIDs[index]], store[nodeIDs[index-sideLength]])
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  print "Grid store created, size {}".format(len(store))
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  return store
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def makeStoreASRelGraph(pathToGraph):
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  #Existing network graphs, in caida.org's asrel format (ASx|ASy|z per line, z denotes relationship type)
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  with open(pathToGraph, "r") as f:
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    inData = f.readlines()
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  store = dict()
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  for line in inData:
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    if line.strip()[0] == "#": continue # Skip comment lines
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    line = line.replace('|'," ")
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    nodes = map(int, line.split()[0:2])
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    if nodes[0] not in store: store[nodes[0]] = Node(nodes[0])
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    if nodes[1] not in store: store[nodes[1]] = Node(nodes[1])
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    linkNodes(store[nodes[0]], store[nodes[1]])
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  print "CAIDA AS-relation graph successfully imported, size {}".format(len(store))
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  return store
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def makeStoreASRelGraphMaxDeg(pathToGraph, degIdx=0):
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  with open(pathToGraph, "r") as f:
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    inData = f.readlines()
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  store = dict()
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  nodeDeg = dict()
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  for line in inData:
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    if line.strip()[0] == "#": continue # Skip comment lines
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    line = line.replace('|'," ")
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    nodes = map(int, line.split()[0:2])
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    if nodes[0] not in nodeDeg: nodeDeg[nodes[0]] = 0
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    if nodes[1] not in nodeDeg: nodeDeg[nodes[1]] = 0
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    nodeDeg[nodes[0]] += 1
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    nodeDeg[nodes[1]] += 1
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  sortedNodes = sorted(nodeDeg.keys(), \
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                       key=lambda x: (nodeDeg[x], x), \
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                       reverse=True)
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  maxDegNodeID = sortedNodes[degIdx]
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  return makeStoreASRelGraphFixedRoot(pathToGraph, maxDegNodeID)
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def makeStoreASRelGraphFixedRoot(pathToGraph, rootNodeID):
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  with open(pathToGraph, "r") as f:
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    inData = f.readlines()
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  store = dict()
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  for line in inData:
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    if line.strip()[0] == "#": continue # Skip comment lines
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    line = line.replace('|'," ")
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    nodes = map(int, line.split()[0:2])
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    if nodes[0] not in store:
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      store[nodes[0]] = Node(nodes[0])
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      if nodes[0] == rootNodeID: store[nodes[0]].info.treeID += 1000000000
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    if nodes[1] not in store:
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      store[nodes[1]] = Node(nodes[1])
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      if nodes[1] == rootNodeID: store[nodes[1]].info.treeID += 1000000000
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    linkNodes(store[nodes[0]], store[nodes[1]])
 | 
						|
  print "CAIDA AS-relation graph successfully imported, size {}".format(len(store))
 | 
						|
  return store
 | 
						|
 | 
						|
def makeStoreDimesEdges(pathToGraph, rootNodeID=None):
 | 
						|
  # Read from a DIMES csv-formatted graph from a gzip file
 | 
						|
  store = dict()
 | 
						|
  with gzip.open(pathToGraph, "r") as f:
 | 
						|
    inData = f.readlines()
 | 
						|
  size = len(inData)
 | 
						|
  index = 0
 | 
						|
  for edge in inData:
 | 
						|
    if not index % 1000:
 | 
						|
      pct = 100.0*index/size
 | 
						|
      print "Processing edge {}, {:.2f}%".format(index, pct)
 | 
						|
    index += 1
 | 
						|
    dat = edge.rstrip().split(',')
 | 
						|
    node1 = "N" + str(dat[0].strip())
 | 
						|
    node2 = "N" + str(dat[1].strip())
 | 
						|
    if '?' in node1 or '?' in node2: continue #Unknown node
 | 
						|
    if node1 == rootNodeID: node1 = "R" + str(dat[0].strip())
 | 
						|
    if node2 == rootNodeID: node2 = "R" + str(dat[1].strip())
 | 
						|
    if node1 not in store: store[node1] = Node(node1)
 | 
						|
    if node2 not in store: store[node2] = Node(node2)
 | 
						|
    if node1 != node2: linkNodes(store[node1], store[node2])
 | 
						|
  print "DIMES graph successfully imported, size {}".format(len(store))
 | 
						|
  return store
 | 
						|
 | 
						|
def makeStoreGeneratedGraph(pathToGraph, root=None):
 | 
						|
  with open(pathToGraph, "r") as f:
 | 
						|
    inData = f.readlines()
 | 
						|
  store = dict()
 | 
						|
  for line in inData:
 | 
						|
    if line.strip()[0] == "#": continue # Skip comment lines
 | 
						|
    nodes = map(int, line.strip().split(' ')[0:2])
 | 
						|
    node1 = nodes[0]
 | 
						|
    node2 = nodes[1]
 | 
						|
    if node1 == root: node1 += 1000000
 | 
						|
    if node2 == root: node2 += 1000000
 | 
						|
    if node1 not in store: store[node1] = Node(node1)
 | 
						|
    if node2 not in store: store[node2] = Node(node2)
 | 
						|
    linkNodes(store[node1], store[node2])
 | 
						|
  print "Generated graph successfully imported, size {}".format(len(store))
 | 
						|
  return store
 | 
						|
 | 
						|
 | 
						|
############################################
 | 
						|
# Functions used as parts of network tests #
 | 
						|
############################################
 | 
						|
 | 
						|
def idleUntilConverged(store):
 | 
						|
  nodeIDs = sorted(store.keys())
 | 
						|
  timeOfLastChange = 0
 | 
						|
  step = 0
 | 
						|
  # Idle until the network has converged
 | 
						|
  while step - timeOfLastChange < 4*TIMEOUT:
 | 
						|
    step += 1
 | 
						|
    print "Step: {}, last change: {}".format(step, timeOfLastChange)
 | 
						|
    changed = False
 | 
						|
    for nodeID in nodeIDs:
 | 
						|
      # Update node status, send messages
 | 
						|
      changed |= store[nodeID].tick()
 | 
						|
    for nodeID in nodeIDs:
 | 
						|
      # Process messages
 | 
						|
      changed |= store[nodeID].handleMessages()
 | 
						|
    if changed: timeOfLastChange = step
 | 
						|
  initTables(store)
 | 
						|
  return store
 | 
						|
 | 
						|
def getCacheIndex(nodes, sourceIndex, destIndex):
 | 
						|
  return sourceIndex*nodes + destIndex
 | 
						|
 | 
						|
def initTables(store):
 | 
						|
  nodeIDs = sorted(store.keys())
 | 
						|
  nNodes = len(nodeIDs)
 | 
						|
  print "Initializing routing tables for {} nodes".format(nNodes)
 | 
						|
  for idx in xrange(nNodes):
 | 
						|
    nodeID = nodeIDs[idx]
 | 
						|
    store[nodeID].initTable()
 | 
						|
  print "Routing tables initialized"
 | 
						|
  return None
 | 
						|
 | 
						|
def getCache(store):
 | 
						|
  nodeIDs = sorted(store.keys())
 | 
						|
  nNodes = len(nodeIDs)
 | 
						|
  nodeIdxs = dict()
 | 
						|
  for nodeIdx in xrange(nNodes):
 | 
						|
    nodeIdxs[nodeIDs[nodeIdx]] = nodeIdx
 | 
						|
  cache = array.array("H", [0]*nNodes*nNodes)
 | 
						|
  for sourceIdx in xrange(nNodes):
 | 
						|
    sourceID = nodeIDs[sourceIdx]
 | 
						|
    print "Building fast lookup table for node {} / {} ({})".format(sourceIdx+1, nNodes, sourceID)
 | 
						|
    for destIdx in xrange(nNodes):
 | 
						|
      destID = nodeIDs[destIdx]
 | 
						|
      if sourceID == destID: nextHop = destID # lookup would fail
 | 
						|
      else: nextHop = store[sourceID].lookup(store[destID].info)
 | 
						|
      nextHopIdx = nodeIdxs[nextHop]
 | 
						|
      cache[getCacheIndex(nNodes, sourceIdx, destIdx)] = nextHopIdx
 | 
						|
  return cache
 | 
						|
 | 
						|
def testPaths(store, dists):
 | 
						|
  cache = getCache(store)
 | 
						|
  nodeIDs = sorted(store.keys())
 | 
						|
  nNodes = len(nodeIDs)
 | 
						|
  idxs = dict()
 | 
						|
  for nodeIdx in xrange(nNodes):
 | 
						|
    nodeID = nodeIDs[nodeIdx]
 | 
						|
    idxs[nodeID] = nodeIdx
 | 
						|
  results = dict()
 | 
						|
  for sourceIdx in xrange(nNodes):
 | 
						|
    sourceID = nodeIDs[sourceIdx]
 | 
						|
    print "Testing paths from node {} / {} ({})".format(sourceIdx+1, len(nodeIDs), sourceID)
 | 
						|
    #dists = dijkstra(store, sourceID)
 | 
						|
    for destIdx in xrange(nNodes):
 | 
						|
      destID = nodeIDs[destIdx]
 | 
						|
      if destID == sourceID: continue # Skip self
 | 
						|
      distIdx = getCacheIndex(nNodes, sourceIdx, destIdx)
 | 
						|
      eHops = dists[distIdx]
 | 
						|
      if not eHops: continue # The network is split, no path exists
 | 
						|
      hops = 0
 | 
						|
      for pair in ((sourceIdx, destIdx), (destIdx, sourceIdx)): # Either direction because source routing
 | 
						|
        nHops = 0
 | 
						|
        locIdx = pair[0]
 | 
						|
        dIdx = pair[1]
 | 
						|
        while locIdx != dIdx:
 | 
						|
          locIdx = cache[getCacheIndex(nNodes, locIdx, dIdx)]
 | 
						|
          nHops += 1
 | 
						|
        if not hops or nHops < hops: hops = nHops
 | 
						|
      if eHops not in results: results[eHops] = dict()
 | 
						|
      if hops not in results[eHops]: results[eHops][hops] = 0
 | 
						|
      results[eHops][hops] += 1
 | 
						|
  return results
 | 
						|
 | 
						|
def getAvgStretch(pathMatrix):
 | 
						|
  avgStretch = 0.
 | 
						|
  checked = 0.
 | 
						|
  for eHops in sorted(pathMatrix.keys()):
 | 
						|
    for nHops in sorted(pathMatrix[eHops].keys()):
 | 
						|
      count = pathMatrix[eHops][nHops]
 | 
						|
      stretch = float(nHops)/float(max(1, eHops))
 | 
						|
      avgStretch += stretch*count
 | 
						|
      checked += count
 | 
						|
  avgStretch /= max(1, checked)
 | 
						|
  return avgStretch
 | 
						|
 | 
						|
def getMaxStretch(pathMatrix):
 | 
						|
  maxStretch = 0.
 | 
						|
  for eHops in sorted(pathMatrix.keys()):
 | 
						|
    for nHops in sorted(pathMatrix[eHops].keys()):
 | 
						|
      stretch = float(nHops)/float(max(1, eHops))
 | 
						|
      maxStretch = max(maxStretch, stretch)
 | 
						|
  return maxStretch
 | 
						|
 | 
						|
def getCertSizes(store):
 | 
						|
  # Returns nCerts frequency distribution
 | 
						|
  # De-duplicates common certs (for shared prefixes in the path)
 | 
						|
  sizes = dict()
 | 
						|
  for node in store.values():
 | 
						|
    certs = set()
 | 
						|
    for peer in node.peers.values():
 | 
						|
      pCerts = set()
 | 
						|
      assert len(peer.path) == 2
 | 
						|
      assert peer.coords[-1] == peer.path[0]
 | 
						|
      hops = peer.coords + peer.path[1:]
 | 
						|
      for hopIdx in xrange(len(hops)-1):
 | 
						|
        send = hops[hopIdx]
 | 
						|
        if send == node.info.nodeID: continue # We created it, already have it
 | 
						|
        path = hops[0:hopIdx+2]
 | 
						|
        # Each cert is signed by the sender
 | 
						|
        # Includes information about the path from the sender to the next hop
 | 
						|
        # Next hop is at hopIdx+1, so the path to next hop is hops[0:hopIdx+2]
 | 
						|
        cert = "{}:{}".format(send, path)
 | 
						|
        certs.add(cert)
 | 
						|
    size = len(certs)
 | 
						|
    if size not in sizes: sizes[size] = 0
 | 
						|
    sizes[size] += 1
 | 
						|
  return sizes
 | 
						|
 | 
						|
def getMinLinkCertSizes(store):
 | 
						|
  # Returns nCerts frequency distribution
 | 
						|
  # De-duplicates common certs (for shared prefixes in the path)
 | 
						|
  # Based on the minimum number of certs that must be traded through a particular link
 | 
						|
  # Handled per link
 | 
						|
  sizes = dict()
 | 
						|
  for node in store.values():
 | 
						|
    peerCerts = dict()
 | 
						|
    for peer in node.peers.values():
 | 
						|
      pCerts = set()
 | 
						|
      assert len(peer.path) == 2
 | 
						|
      assert peer.coords[-1] == peer.path[0]
 | 
						|
      hops = peer.coords + peer.path[1:]
 | 
						|
      for hopIdx in xrange(len(hops)-1):
 | 
						|
        send = hops[hopIdx]
 | 
						|
        if send == node.info.nodeID: continue # We created it, already have it
 | 
						|
        path = hops[0:hopIdx+2]
 | 
						|
        # Each cert is signed by the sender
 | 
						|
        # Includes information about the path from the sender to the next hop
 | 
						|
        # Next hop is at hopIdx+1, so the path to next hop is hops[0:hopIdx+2]
 | 
						|
        cert = "{}:{}".format(send, path)
 | 
						|
        pCerts.add(cert)
 | 
						|
      peerCerts[peer.nodeID] = pCerts
 | 
						|
    for peer in peerCerts:
 | 
						|
      size = 0
 | 
						|
      pCerts = peerCerts[peer]
 | 
						|
      for cert in pCerts:
 | 
						|
        required = True
 | 
						|
        for p2 in peerCerts:
 | 
						|
          if p2 == peer: continue
 | 
						|
          p2Certs = peerCerts[p2]
 | 
						|
          if cert in p2Certs: required = False
 | 
						|
        if required: size += 1
 | 
						|
      if size not in sizes: sizes[size] = 0
 | 
						|
      sizes[size] += 1
 | 
						|
  return sizes
 | 
						|
 | 
						|
def getPathSizes(store):
 | 
						|
  # Returns frequency distribution of the total number of hops the routing table
 | 
						|
  # I.e. a node with 3 peers, each with 5 hop coord+path, would count as 3x5=15
 | 
						|
  sizes = dict()
 | 
						|
  for node in store.values():
 | 
						|
    size = 0
 | 
						|
    for peer in node.peers.values():
 | 
						|
      assert len(peer.path) == 2
 | 
						|
      assert peer.coords[-1] == peer.path[0]
 | 
						|
      peerSize = len(peer.coords) + len(peer.path) - 1 # double-counts peer, -1
 | 
						|
      size += peerSize
 | 
						|
    if size not in sizes: sizes[size] = 0
 | 
						|
    sizes[size] += 1
 | 
						|
  return sizes
 | 
						|
 | 
						|
def getPeerSizes(store):
 | 
						|
  # Returns frequency distribution of the number of peers each node has
 | 
						|
  sizes = dict()
 | 
						|
  for node in store.values():
 | 
						|
    nPeers = len(node.peers)
 | 
						|
    if nPeers not in sizes: sizes[nPeers] = 0
 | 
						|
    sizes[nPeers] += 1
 | 
						|
  return sizes
 | 
						|
 | 
						|
def getAvgSize(sizes):
 | 
						|
  sumSizes = 0
 | 
						|
  nNodes = 0
 | 
						|
  for size in sizes:
 | 
						|
    count = sizes[size]
 | 
						|
    sumSizes += size*count
 | 
						|
    nNodes += count
 | 
						|
  avgSize = float(sumSizes)/max(1, nNodes)
 | 
						|
  return avgSize
 | 
						|
 | 
						|
def getMaxSize(sizes):
 | 
						|
  return max(sizes.keys())
 | 
						|
 | 
						|
def getMinSize(sizes):
 | 
						|
  return min(sizes.keys())
 | 
						|
 | 
						|
def getResults(pathMatrix):
 | 
						|
  results = []
 | 
						|
  for eHops in sorted(pathMatrix.keys()):
 | 
						|
    for nHops in sorted(pathMatrix[eHops].keys()):
 | 
						|
      count = pathMatrix[eHops][nHops]
 | 
						|
      results.append("{} {} {}".format(eHops, nHops, count))
 | 
						|
  return '\n'.join(results)
 | 
						|
 | 
						|
####################################
 | 
						|
# Functions to run different tests #
 | 
						|
####################################
 | 
						|
 | 
						|
def runTest(store):
 | 
						|
  # Runs the usual set of tests on the store
 | 
						|
  # Does not save results, so only meant for quick tests
 | 
						|
  # To e.g. check the code works, maybe warm up the pypy jit
 | 
						|
  for node in store.values():
 | 
						|
    node.info.time = random.randint(0, TIMEOUT)
 | 
						|
    node.info.tstamp = TIMEOUT
 | 
						|
  print "Begin testing network"
 | 
						|
  dists = None
 | 
						|
  if not dists: dists = dijkstrall(store)
 | 
						|
  idleUntilConverged(store)
 | 
						|
  pathMatrix = testPaths(store, dists)
 | 
						|
  avgStretch = getAvgStretch(pathMatrix)
 | 
						|
  maxStretch = getMaxStretch(pathMatrix)
 | 
						|
  peers = getPeerSizes(store)
 | 
						|
  certs = getCertSizes(store)
 | 
						|
  paths = getPathSizes(store)
 | 
						|
  linkCerts = getMinLinkCertSizes(store)
 | 
						|
  avgPeerSize = getAvgSize(peers)
 | 
						|
  maxPeerSize = getMaxSize(peers)
 | 
						|
  avgCertSize = getAvgSize(certs)
 | 
						|
  maxCertSize = getMaxSize(certs)
 | 
						|
  avgPathSize = getAvgSize(paths)
 | 
						|
  maxPathSize = getMaxSize(paths)
 | 
						|
  avgLinkCert = getAvgSize(linkCerts)
 | 
						|
  maxLinkCert = getMaxSize(linkCerts)
 | 
						|
  totalCerts = sum(map(lambda x: x*certs[x], certs.keys()))
 | 
						|
  totalLinks = sum(map(lambda x: x*peers[x], peers.keys())) # one-way links
 | 
						|
  avgCertsPerLink = float(totalCerts)/max(1, totalLinks)
 | 
						|
  print "Finished testing network"
 | 
						|
  print "Avg / Max stretch: {} / {}".format(avgStretch, maxStretch)
 | 
						|
  print "Avg / Max nPeers size: {} / {}".format(avgPeerSize, maxPeerSize)
 | 
						|
  print "Avg / Max nCerts size: {} / {}".format(avgCertSize, maxCertSize)
 | 
						|
  print "Avg / Max total hops in any node's routing table: {} / {}".format(avgPathSize, maxPathSize)
 | 
						|
  print "Avg / Max lower bound cert requests per link (one-way): {} / {}".format(avgLinkCert, maxLinkCert)
 | 
						|
  print "Avg certs per link (one-way): {}".format(avgCertsPerLink)
 | 
						|
  return # End of function
 | 
						|
 | 
						|
def rootNodeASTest(path, outDir="output-treesim-AS", dists=None, proc = 1):
 | 
						|
  # Checks performance for every possible choice of root node
 | 
						|
  # Saves output for each root node to a separate file on disk
 | 
						|
  # path = input path to some caida.org formatted AS-relationship graph
 | 
						|
  if not os.path.exists(outDir): os.makedirs(outDir)
 | 
						|
  assert os.path.exists(outDir)
 | 
						|
  store = makeStoreASRelGraph(path)
 | 
						|
  nodes = sorted(store.keys())
 | 
						|
  for nodeIdx in xrange(len(nodes)):
 | 
						|
    if nodeIdx % proc != 0: continue # Work belongs to someone else
 | 
						|
    rootNodeID = nodes[nodeIdx]
 | 
						|
    outpath = outDir+"/{}".format(rootNodeID)
 | 
						|
    if os.path.exists(outpath):
 | 
						|
      print "Skipping {}, already processed".format(rootNodeID)
 | 
						|
      continue
 | 
						|
    store = makeStoreASRelGraphFixedRoot(path, rootNodeID)
 | 
						|
    for node in store.values():
 | 
						|
      node.info.time = random.randint(0, TIMEOUT)
 | 
						|
      node.info.tstamp = TIMEOUT
 | 
						|
    print "Beginning {}, size {}".format(nodeIdx, len(store))
 | 
						|
    if not dists: dists = dijkstrall(store)
 | 
						|
    idleUntilConverged(store)
 | 
						|
    pathMatrix = testPaths(store, dists)
 | 
						|
    avgStretch = getAvgStretch(pathMatrix)
 | 
						|
    maxStretch = getMaxStretch(pathMatrix)
 | 
						|
    results = getResults(pathMatrix)
 | 
						|
    with open(outpath, "w") as f:
 | 
						|
      f.write(results)
 | 
						|
    print "Finished test for root AS {} ({} / {})".format(rootNodeID, nodeIdx+1, len(store))
 | 
						|
    print "Avg / Max stretch: {} / {}".format(avgStretch, maxStretch)
 | 
						|
    #break # Stop after 1, because they can take forever
 | 
						|
  return # End of function
 | 
						|
 | 
						|
def timelineASTest():
 | 
						|
  # Meant to study the performance of the network as a function of network size
 | 
						|
  # Loops over a set of AS-relationship graphs
 | 
						|
  # Runs a test on each graph, selecting highest-degree node as the root
 | 
						|
  # Saves results for each graph to a separate file on disk
 | 
						|
  outDir = "output-treesim-timeline-AS"
 | 
						|
  if not os.path.exists(outDir): os.makedirs(outDir)
 | 
						|
  assert os.path.exists(outDir)
 | 
						|
  paths = sorted(glob.glob("asrel/datasets/*"))
 | 
						|
  for path in paths:
 | 
						|
    date = os.path.basename(path).split(".")[0]
 | 
						|
    outpath = outDir+"/{}".format(date)
 | 
						|
    if os.path.exists(outpath):
 | 
						|
      print "Skipping {}, already processed".format(date)
 | 
						|
      continue
 | 
						|
    store = makeStoreASRelGraphMaxDeg(path)
 | 
						|
    dists = None
 | 
						|
    for node in store.values():
 | 
						|
      node.info.time = random.randint(0, TIMEOUT)
 | 
						|
      node.info.tstamp = TIMEOUT
 | 
						|
    print "Beginning {}, size {}".format(date, len(store))
 | 
						|
    if not dists: dists = dijkstrall(store)
 | 
						|
    idleUntilConverged(store)
 | 
						|
    pathMatrix = testPaths(store, dists)
 | 
						|
    avgStretch = getAvgStretch(pathMatrix)
 | 
						|
    maxStretch = getMaxStretch(pathMatrix)
 | 
						|
    results = getResults(pathMatrix)
 | 
						|
    with open(outpath, "w") as f:
 | 
						|
      f.write(results)
 | 
						|
    print "Finished {} with {} nodes".format(date, len(store))
 | 
						|
    print "Avg / Max stretch: {} / {}".format(avgStretch, maxStretch)
 | 
						|
    #break # Stop after 1, because they can take forever
 | 
						|
  return # End of function
 | 
						|
 | 
						|
def timelineDimesTest():
 | 
						|
  # Meant to study the performance of the network as a function of network size
 | 
						|
  # Loops over a set of AS-relationship graphs
 | 
						|
  # Runs a test on each graph, selecting highest-degree node as the root
 | 
						|
  # Saves results for each graph to a separate file on disk
 | 
						|
  outDir = "output-treesim-timeline-dimes"
 | 
						|
  if not os.path.exists(outDir): os.makedirs(outDir)
 | 
						|
  assert os.path.exists(outDir)
 | 
						|
  # Input files are named ASEdgesX_Y where X = month (no leading 0), Y = year
 | 
						|
  paths = sorted(glob.glob("DIMES/ASEdges/*.gz"))
 | 
						|
  exists = set(glob.glob(outDir+"/*"))
 | 
						|
  for path in paths:
 | 
						|
    date = os.path.basename(path).split(".")[0]
 | 
						|
    outpath = outDir+"/{}".format(date)
 | 
						|
    if outpath in exists:
 | 
						|
      print "Skipping {}, already processed".format(date)
 | 
						|
      continue
 | 
						|
    store = makeStoreDimesEdges(path)
 | 
						|
    # Get the highest degree node and make it root
 | 
						|
    # Sorted by nodeID just to make it stable in the event of a tie
 | 
						|
    nodeIDs = sorted(store.keys())
 | 
						|
    bestRoot = ""
 | 
						|
    bestDeg = 0
 | 
						|
    for nodeID in nodeIDs:
 | 
						|
      node = store[nodeID]
 | 
						|
      if len(node.links) > bestDeg:
 | 
						|
        bestRoot = nodeID
 | 
						|
        bestDeg = len(node.links)
 | 
						|
    assert bestRoot
 | 
						|
    store = makeStoreDimesEdges(path, bestRoot)
 | 
						|
    rootID = "R" + bestRoot[1:]
 | 
						|
    assert rootID in store
 | 
						|
    # Don't forget to set random seed before setitng times
 | 
						|
    # To make results reproducible
 | 
						|
    nodeIDs = sorted(store.keys())
 | 
						|
    random.seed(12345)
 | 
						|
    for nodeID in nodeIDs:
 | 
						|
      node = store[nodeID]
 | 
						|
      node.info.time = random.randint(0, TIMEOUT)
 | 
						|
      node.info.tstamp = TIMEOUT
 | 
						|
    print "Beginning {}, size {}".format(date, len(store))
 | 
						|
    if not dists: dists = dijkstrall(store)
 | 
						|
    idleUntilConverged(store)
 | 
						|
    pathMatrix = testPaths(store, dists)
 | 
						|
    avgStretch = getAvgStretch(pathMatrix)
 | 
						|
    maxStretch = getMaxStretch(pathMatrix)
 | 
						|
    results = getResults(pathMatrix)
 | 
						|
    with open(outpath, "w") as f:
 | 
						|
      f.write(results)
 | 
						|
    print "Finished {} with {} nodes".format(date, len(store))
 | 
						|
    print "Avg / Max stretch: {} / {}".format(avgStretch, maxStretch)
 | 
						|
    break # Stop after 1, because they can take forever
 | 
						|
  return # End of function
 | 
						|
 | 
						|
def scalingTest(maxTests=None, inputDir="graphs"):
 | 
						|
  # Meant to study the performance of the network as a function of network size
 | 
						|
  # Loops over a set of nodes in a previously generated graph
 | 
						|
  # Runs a test on each graph, testing each node as the root
 | 
						|
  # if maxTests is set, tests only that number of roots (highest degree first)
 | 
						|
  # Saves results for each graph to a separate file on disk
 | 
						|
  outDir = "output-treesim-{}".format(inputDir)
 | 
						|
  if not os.path.exists(outDir): os.makedirs(outDir)
 | 
						|
  assert os.path.exists(outDir)
 | 
						|
  paths = sorted(glob.glob("{}/*".format(inputDir)))
 | 
						|
  exists = set(glob.glob(outDir+"/*"))
 | 
						|
  for path in paths:
 | 
						|
    gc.collect() # pypy waits for gc to close files
 | 
						|
    graph = os.path.basename(path).split(".")[0]
 | 
						|
    store = makeStoreGeneratedGraph(path)
 | 
						|
    # Get the highest degree node and make it root
 | 
						|
    # Sorted by nodeID just to make it stable in the event of a tie
 | 
						|
    nodeIDs = sorted(store.keys(), key=lambda x: len(store[x].links), reverse=True)
 | 
						|
    dists = None
 | 
						|
    if maxTests: nodeIDs = nodeIDs[:maxTests]
 | 
						|
    for nodeID in nodeIDs:
 | 
						|
      nodeIDStr = str(nodeID).zfill(len(str(len(store)-1)))
 | 
						|
      outpath = outDir+"/{}-{}".format(graph, nodeIDStr)
 | 
						|
      if outpath in exists:
 | 
						|
        print "Skipping {}-{}, already processed".format(graph, nodeIDStr)
 | 
						|
        continue
 | 
						|
      store = makeStoreGeneratedGraph(path, nodeID)
 | 
						|
      # Don't forget to set random seed before setting times
 | 
						|
      random.seed(12345) # To make results reproducible
 | 
						|
      nIDs = sorted(store.keys())
 | 
						|
      for nID in nIDs:
 | 
						|
        node = store[nID]
 | 
						|
        node.info.time = random.randint(0, TIMEOUT)
 | 
						|
        node.info.tstamp = TIMEOUT
 | 
						|
      print "Beginning {}, size {}".format(graph, len(store))
 | 
						|
      if not dists: dists = dijkstrall(store)
 | 
						|
      idleUntilConverged(store)
 | 
						|
      pathMatrix = testPaths(store, dists)
 | 
						|
      avgStretch = getAvgStretch(pathMatrix)
 | 
						|
      maxStretch = getMaxStretch(pathMatrix)
 | 
						|
      results = getResults(pathMatrix)
 | 
						|
      with open(outpath, "w") as f:
 | 
						|
        f.write(results)
 | 
						|
      print "Finished {} with {} nodes for root {}".format(graph, len(store), nodeID)
 | 
						|
      print "Avg / Max stretch: {} / {}".format(avgStretch, maxStretch)
 | 
						|
  return # End of function
 | 
						|
 | 
						|
##################
 | 
						|
# Main Execution #
 | 
						|
##################
 | 
						|
 | 
						|
if __name__ == "__main__":
 | 
						|
  if True: # Run a quick test
 | 
						|
    random.seed(12345) # DEBUG
 | 
						|
    store = makeStoreSquareGrid(4)
 | 
						|
    runTest(store) # Quick test
 | 
						|
  store = None
 | 
						|
  # Do some real work
 | 
						|
  #runTest(makeStoreDimesEdges("DIMES/ASEdges/ASEdges1_2007.csv.gz"))
 | 
						|
  #timelineDimesTest()
 | 
						|
  #rootNodeASTest("asrel/datasets/19980101.as-rel.txt")
 | 
						|
  #timelineASTest()
 | 
						|
  #rootNodeASTest("hype-2016-09-19.list", "output-treesim-hype")
 | 
						|
  #scalingTest(None, "graphs-20") # First argument 1 to only test 1 root per graph
 | 
						|
  #store = makeStoreGeneratedGraph("bgp_tables")
 | 
						|
  #store = makeStoreGeneratedGraph("skitter")
 | 
						|
  #store = makeStoreASRelGraphMaxDeg("hype-2016-09-19.list") #http://hia.cjdns.ca/watchlist/c/walk.peers.20160919
 | 
						|
  #store = makeStoreGeneratedGraph("fc00-2017-08-12.txt")
 | 
						|
  if store: runTest(store)
 | 
						|
  #rootNodeASTest("skitter", "output-treesim-skitter", None, 0, 1)
 | 
						|
  #scalingTest(1, "graphs-20") # First argument 1 to only test 1 root per graph
 | 
						|
  #scalingTest(1, "graphs-21") # First argument 1 to only test 1 root per graph
 | 
						|
  #scalingTest(1, "graphs-22") # First argument 1 to only test 1 root per graph
 | 
						|
  #scalingTest(1, "graphs-23") # First argument 1 to only test 1 root per graph
 | 
						|
  if not store:
 | 
						|
    import sys
 | 
						|
    args = sys.argv
 | 
						|
    if len(args) == 2:
 | 
						|
      job_number = int(sys.argv[1])
 | 
						|
      #rootNodeASTest("fc00-2017-08-12.txt", "fc00", None, job_number)
 | 
						|
      #rootNodeASTest("skitter", "out-skitter", None, job_number)
 | 
						|
      rootNodeASTest("walk-1517414401.txt.map", "out-walk", None, job_number)
 | 
						|
    else:
 | 
						|
      print "Usage: {} job_number".format(args[0])
 | 
						|
      print "job_number = which job set to run on this node (1-indexed)"
 | 
						|
 |