#!/usr/bin/env python import random SERVER_CAPACITY = 10**12 class Server: def __init__(self): self.si = random.randrange(0, 2**31) self.used = 0 self.max = SERVER_CAPACITY self.full_at_tick = None def __repr__(self): if self.full_at_tick is not None: return "<%s %s full at %d>" % (self.__class__.__name__, self.si, self.full_at_tick) else: return "<%s %s>" % (self.__class__.__name__, self.si) SERVERS = 4 K = 3 N = 10 def make_up_a_file_size(): return (2 ** random.randrange(8, 31)) def go(permutedpeerlist): servers = [ Server() for x in range(SERVERS) ] servers.sort(cmp=lambda x,y: cmp(x.si, y.si)) doubled_up_shares = 0 tick = 0 fullservers = 0 while True: nextsharesize = make_up_a_file_size() / K if permutedpeerlist: random.shuffle(servers) else: # rotate a random number rot = random.randrange(0, len(servers)) servers = servers[rot:] + servers[:rot] i = 0 wrapped = False sharestoput = N while sharestoput: server = servers[i] if server.used + nextsharesize < server.max: server.used += nextsharesize sharestoput -= 1 if wrapped: doubled_up_shares += 1 else: if server.full_at_tick is None: server.full_at_tick = tick fullservers += 1 if fullservers == len(servers): # print "Couldn't place share -- all servers full. Stopping." return (servers, doubled_up_shares) i += 1 if i == len(servers): wrapped = True i = 0 tick += 1 def div_ceil(n, d): """ The smallest integer k such that k*d >= n. """ return (n/d) + (n%d != 0) DESIRED_COLUMNS = 70 START_FILES = 137000 STOP_FILES = 144000 def test(permutedpeerlist, iters): # The i'th element of the filledat list is how many servers got full when the i'th file was uploaded. filledat = [] for test in range(iters): (servers, doubled_up_shares) = go(permutedpeerlist) print "doubled_up_shares: ", doubled_up_shares for server in servers: fidx = server.full_at_tick filledat.extend([0]*(fidx-len(filledat)+1)) filledat[fidx] += 1 startfiles = 0 while filledat[startfiles] == 0: startfiles += 1 filespercolumn = div_ceil(len(filledat) - startfiles, (DESIRED_COLUMNS - 3)) # to make comparisons between runs line up: # startfiles = START_FILES # filespercolumn = div_ceil(STOP_FILES - startfiles, (DESIRED_COLUMNS - 3)) # The i'th element of the compressedfilledat list is how many servers got full when the filespercolumn files starting at startfiles + i were uploaded. compressedfilledat = [] idx = startfiles while idx < len(filledat): compressedfilledat.append(0) for i in range(filespercolumn): compressedfilledat[-1] += filledat[idx] idx += 1 if idx >= len(filledat): break # The i'th element of the fullat list is how many servers were full by the tick numbered startfiles + i * filespercolumn (on average). fullat = [0] * len(compressedfilledat) for idx, num in enumerate(compressedfilledat): for fidx in range(idx, len(fullat)): fullat[fidx] += num for idx in range(len(fullat)): fullat[idx] = fullat[idx] / float(iters) # Now print it out as an ascii art graph. import sys for serversfull in range(40, 0, -1): sys.stdout.write("%2d " % serversfull) for numfull in fullat: if int(numfull) == serversfull: sys.stdout.write("*") else: sys.stdout.write(" ") sys.stdout.write("\n") sys.stdout.write(" ^-- servers full\n") idx = 0 while idx < len(fullat): nextmark = "%d--^ " % (startfiles + idx * filespercolumn) sys.stdout.write(nextmark) idx += len(nextmark) sys.stdout.write("\nfiles uploaded --> \n") if __name__ == "__main__": import sys iters = 16 for arg in sys.argv: if arg.startswith("--iters="): iters = int(arg[8:]) if "--permute" in sys.argv: print "doing permuted peerlist, iterations: %d" % iters test(True, iters) else: print "doing simple ring, iterations: %d" % iters test(False, iters)