1 | #! /usr/bin/python |
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2 | |
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3 | # used to discuss ticket #302: "stop permuting peerlist?" |
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4 | |
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5 | # import time |
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6 | |
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7 | |
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8 | import math |
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9 | from hashlib import md5 # sha1, sha256 |
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10 | myhash = md5 |
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11 | # md5: 1520 "uploads" per second |
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12 | # sha1: 1350 ups |
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13 | # sha256: 930 ups |
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14 | from itertools import count |
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15 | from twisted.python import usage |
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16 | |
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17 | def abbreviate_space(s, SI=True): |
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18 | if s is None: |
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19 | return "unknown" |
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20 | if SI: |
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21 | U = 1000.0 |
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22 | isuffix = "B" |
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23 | else: |
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24 | U = 1024.0 |
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25 | isuffix = "iB" |
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26 | def r(count, suffix): |
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27 | return "%.2f %s%s" % (count, suffix, isuffix) |
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28 | |
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29 | if s < 1024: # 1000-1023 get emitted as bytes, even in SI mode |
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30 | return "%d B" % s |
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31 | if s < U*U: |
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32 | return r(s/U, "k") |
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33 | if s < U*U*U: |
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34 | return r(s/(U*U), "M") |
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35 | if s < U*U*U*U: |
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36 | return r(s/(U*U*U), "G") |
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37 | if s < U*U*U*U*U: |
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38 | return r(s/(U*U*U*U), "T") |
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39 | return r(s/(U*U*U*U*U), "P") |
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40 | |
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41 | def make_up_a_file_size(seed): |
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42 | h = int(myhash(seed).hexdigest(),16) |
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43 | # exponential distribution |
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44 | e = 8 + (h % (31-8)) |
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45 | return 2 ** e |
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46 | # uniform distribution |
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47 | #max=2**31 |
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48 | #return h % max # avg 1GB |
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49 | |
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50 | sizes = [make_up_a_file_size(str(i)) for i in range(10000)] |
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51 | avg_filesize = sum(sizes)/len(sizes) |
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52 | print("average file size:", abbreviate_space(avg_filesize)) |
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53 | |
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54 | SERVER_CAPACITY = 10**12 |
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55 | |
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56 | class Server(object): |
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57 | def __init__(self, nodeid, capacity): |
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58 | self.nodeid = nodeid |
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59 | self.used = 0 |
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60 | self.capacity = capacity |
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61 | self.numshares = 0 |
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62 | self.full_at_tick = None |
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63 | |
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64 | def upload(self, sharesize): |
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65 | if self.used + sharesize < self.capacity: |
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66 | self.used += sharesize |
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67 | self.numshares += 1 |
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68 | return True |
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69 | return False |
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70 | |
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71 | def __repr__(self): |
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72 | if self.full_at_tick is not None: |
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73 | return "<%s %s full at %d>" % (self.__class__.__name__, self.nodeid, self.full_at_tick) |
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74 | else: |
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75 | return "<%s %s>" % (self.__class__.__name__, self.nodeid) |
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76 | |
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77 | class Ring(object): |
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78 | SHOW_MINMAX = False |
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79 | def __init__(self, numservers, seed, permute): |
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80 | self.servers = [] |
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81 | for i in range(numservers): |
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82 | nodeid = myhash(str(seed)+str(i)).hexdigest() |
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83 | capacity = SERVER_CAPACITY |
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84 | s = Server(nodeid, capacity) |
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85 | self.servers.append(s) |
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86 | self.servers.sort(key=lambda s: s.nodeid) |
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87 | self.permute = permute |
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88 | #self.list_servers() |
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89 | |
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90 | def list_servers(self): |
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91 | for i in range(len(self.servers)): |
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92 | s = self.servers[i] |
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93 | next_s = self.servers[(i+1)%len(self.servers)] |
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94 | diff = "%032x" % (int(next_s.nodeid,16) - int(s.nodeid,16)) |
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95 | s.next_diff = diff |
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96 | prev_s = self.servers[(i-1)%len(self.servers)] |
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97 | diff = "%032x" % (int(s.nodeid,16) - int(prev_s.nodeid,16)) |
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98 | s.prev_diff = diff |
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99 | print(s, s.prev_diff) |
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100 | |
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101 | print("sorted by delta") |
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102 | for s in sorted(self.servers, key=lambda s:s.prev_diff): |
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103 | print(s, s.prev_diff) |
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104 | |
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105 | def servers_for_si(self, si): |
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106 | if self.permute: |
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107 | def sortkey(s): |
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108 | return myhash(s.nodeid+si).digest() |
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109 | return sorted(self.servers, key=sortkey) |
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110 | for i in range(len(self.servers)): |
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111 | if self.servers[i].nodeid >= si: |
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112 | return self.servers[i:] + self.servers[:i] |
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113 | return list(self.servers) |
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114 | |
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115 | def show_servers(self, picked): |
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116 | bits = [] |
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117 | for s in self.servers: |
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118 | if s in picked: |
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119 | bits.append("1") |
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120 | else: |
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121 | bits.append("0") |
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122 | #d = [s in picked and "1" or "0" for s in self.servers] |
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123 | return "".join(bits) |
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124 | |
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125 | def dump_usage(self, numfiles, avg_space_per_file): |
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126 | print("uploaded", numfiles) |
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127 | # avg_space_per_file measures expected grid-wide ciphertext per file |
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128 | used = list(reversed(sorted([s.used for s in self.servers]))) |
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129 | # used is actual per-server ciphertext |
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130 | usedpf = [1.0*u/numfiles for u in used] |
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131 | # usedpf is actual per-server-per-file ciphertext |
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132 | #print("min/max usage: %s/%s" % (abbreviate_space(used[-1]), |
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133 | # abbreviate_space(used[0]))) |
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134 | avg_usage_per_file = avg_space_per_file/len(self.servers) |
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135 | # avg_usage_per_file is expected per-server-per-file ciphertext |
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136 | spreadpf = usedpf[0] - usedpf[-1] |
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137 | average_usagepf = sum(usedpf) / len(usedpf) |
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138 | variance = sum([(u-average_usagepf)**2 for u in usedpf])/(len(usedpf)-1) |
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139 | std_deviation = math.sqrt(variance) |
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140 | sd_of_total = std_deviation / avg_usage_per_file |
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141 | |
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142 | print("min/max/(exp) usage-pf-ps %s/%s/(%s):" % ( |
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143 | abbreviate_space(usedpf[-1]), |
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144 | abbreviate_space(usedpf[0]), |
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145 | abbreviate_space(avg_usage_per_file) ), end=' ') |
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146 | print("spread-pf: %s (%.2f%%)" % ( |
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147 | abbreviate_space(spreadpf), 100.0*spreadpf/avg_usage_per_file), end=' ') |
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148 | #print("average_usage:", abbreviate_space(average_usagepf)) |
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149 | print("stddev: %s (%.2f%%)" % (abbreviate_space(std_deviation), |
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150 | 100.0*sd_of_total)) |
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151 | if self.SHOW_MINMAX: |
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152 | s2 = sorted(self.servers, key=lambda s: s.used) |
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153 | print("least:", s2[0].nodeid) |
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154 | print("most:", s2[-1].nodeid) |
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155 | |
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156 | |
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157 | class Options(usage.Options): |
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158 | optParameters = [ |
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159 | ("k", "k", 3, "required shares", int), |
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160 | ("N", "N", 10, "total shares", int), |
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161 | ("servers", None, 100, "number of servers", int), |
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162 | ("seed", None, None, "seed to use for creating ring"), |
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163 | ("fileseed", None, "blah", "seed to use for creating files"), |
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164 | ("permute", "p", 1, "1 to permute, 0 to use flat ring", int), |
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165 | ] |
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166 | def postOptions(self): |
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167 | assert self["seed"] |
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168 | |
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169 | |
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170 | def do_run(ring, opts): |
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171 | avg_space_per_file = avg_filesize * opts["N"] / opts["k"] |
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172 | fileseed = opts["fileseed"] |
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173 | all_servers_have_room = True |
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174 | no_files_have_wrapped = True |
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175 | for filenum in count(0): |
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176 | #used = list(reversed(sorted([s.used for s in ring.servers]))) |
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177 | #used = [s.used for s in ring.servers] |
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178 | #print(used) |
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179 | si = myhash(fileseed+str(filenum)).hexdigest() |
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180 | filesize = make_up_a_file_size(si) |
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181 | sharesize = filesize / opts["k"] |
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182 | if filenum%4000==0 and filenum > 1: |
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183 | ring.dump_usage(filenum, avg_space_per_file) |
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184 | servers = ring.servers_for_si(si) |
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185 | #print(ring.show_servers(servers[:opts["N"]])) |
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186 | remaining_shares = opts["N"] |
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187 | index = 0 |
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188 | server_was_full = False |
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189 | file_was_wrapped = False |
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190 | remaining_servers = set(servers) |
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191 | while remaining_shares: |
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192 | if index >= len(servers): |
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193 | index = 0 |
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194 | file_was_wrapped = True |
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195 | s = servers[index] |
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196 | accepted = s.upload(sharesize) |
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197 | if not accepted: |
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198 | server_was_full = True |
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199 | remaining_servers.discard(s) |
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200 | if not remaining_servers: |
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201 | print("-- GRID IS FULL") |
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202 | ring.dump_usage(filenum, avg_space_per_file) |
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203 | return filenum |
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204 | index += 1 |
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205 | continue |
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206 | remaining_shares -= 1 |
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207 | index += 1 |
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208 | # file is done being uploaded |
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209 | |
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210 | if server_was_full and all_servers_have_room: |
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211 | all_servers_have_room = False |
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212 | print("-- FIRST SERVER FULL") |
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213 | ring.dump_usage(filenum, avg_space_per_file) |
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214 | if file_was_wrapped and no_files_have_wrapped: |
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215 | no_files_have_wrapped = False |
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216 | print("-- FIRST FILE WRAPPED") |
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217 | ring.dump_usage(filenum, avg_space_per_file) |
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218 | |
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219 | |
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220 | def do_ring(opts): |
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221 | total_capacity = opts["servers"]*SERVER_CAPACITY |
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222 | avg_space_per_file = avg_filesize * opts["N"] / opts["k"] |
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223 | avg_files = total_capacity / avg_space_per_file |
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224 | print("expected number of uploads:", avg_files) |
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225 | if opts["permute"]: |
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226 | print(" PERMUTED") |
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227 | else: |
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228 | print(" LINEAR") |
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229 | seed = opts["seed"] |
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230 | |
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231 | ring = Ring(opts["servers"], seed, opts["permute"]) |
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232 | do_run(ring, opts) |
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233 | |
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234 | def run(opts): |
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235 | do_ring(opts) |
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236 | |
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237 | if __name__ == "__main__": |
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238 | opts = Options() |
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239 | opts.parseOptions() |
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240 | run(opts) |
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