1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
|
#!/usr/bin/python
import re
import sys
import copy
import cPickle
import os
class Parser:
def __init__(self):
self.calls = {}
def enter_func(self, name):
if self.infunc and not self.extern:
self.calls.setdefault(self.infunc, set()).update( self.calledfns )
self.calledfns = set()
self.infunc = name
self.extern = False
def parse_callgraph_file(self, inp):
self.infunc = None
self.extern = False
self.calledfns = set()
for line in inp:
m = re.match(r"Call graph node for function: '([^']+)'", line)
if m:
self.enter_func(m.group(1))
continue
m = re.match(r" CS<[^>]+> calls external node", line)
if m:
self.extern = True
m = re.match(r" CS<[^>]+> calls function '([^']+)'", line)
if m:
self.calledfns.add(m.group(1))
self.enter_func(None)
def extract_callgraph(self):
c = self.calls
self.calls = {}
return c
def transitive_closure(g):
passno = 0
changed = True
g = copy.deepcopy(g)
import random
while changed:
passno += 1
changed = False
keys = g.keys()
idx = 0
for k in keys:
idx += 1
print "Pass %d/?: %d/%d\r" %(passno, idx, len(keys)),
sys.stdout.flush()
newset = g[k].copy()
for fn in g[k]:
newset.update(g.get(fn, set()))
if len(newset) != len(g[k]):
g[k].update( newset )
changed = True
print
return g
def strongly_connected_components(g):
# From https://en.wikipedia.org/wiki/Tarjan%27s_strongly_connected_components_algorithm, done stupidly.
index_of = {}
index = [ 0 ]
lowlink = {}
S = []
onStack = set()
all_sccs = []
def strongconnect(fn):
index_of[fn] = index[0]
lowlink[fn] = index[0]
index[0] += 1
S.append(fn)
onStack.add(fn)
for w in g.get(fn, []):
if w not in index_of:
strongconnect(w)
lowlink[fn] = min(lowlink[fn], lowlink[w])
elif w in onStack:
lowlink[fn] = min(lowlink[fn], index_of[w])
if lowlink[fn] == index_of[fn]:
this_scc = []
all_sccs.append(this_scc)
while True:
w = S.pop()
onStack.remove(w)
this_scc.append(w)
if w == fn:
break
for v in g.keys():
if v not in index_of:
strongconnect(v)
return all_sccs
def biggest_component(sccs):
return max(len(c) for c in sccs)
def connection_bottlenecks(callgraph):
callers = {}
for fn in callgraph:
for fn2 in callgraph[fn]:
callers.setdefault(fn2, set()).add(fn)
components = strongly_connected_components(callgraph)
components.sort(key=len)
big_component_fns = components[-1]
size = len(big_component_fns)
function_bottlenecks = fn_results = []
total = len(big_component_fns)
idx = 0
for fn in big_component_fns:
idx += 1
print "Pass 1/3: %d/%d\r"%(idx, total),
sys.stdout.flush()
cg2 = copy.deepcopy(callgraph)
del cg2[fn]
fn_results.append( (size - biggest_component(strongly_connected_components(cg2)), fn) )
print
bcf_set = set(big_component_fns)
call_bottlenecks = fn_results = []
result_set = set()
total = len(big_component_fns)
idx = 0
for fn in big_component_fns:
fn_callers = callers[fn].intersection(bcf_set)
idx += 1
if len(fn_callers) != 1:
continue
print "Pass 2/3: %d/%d\r"%(idx, total),
sys.stdout.flush()
caller = fn_callers.pop()
assert len(fn_callers) == 0
cg2 = copy.deepcopy(callgraph)
cg2[caller].remove(fn)
fn_results.append( (size - biggest_component(strongly_connected_components(cg2)), fn, "called by", caller) )
result_set.add( (caller, fn) )
print
total = len(big_component_fns)
idx = 0
for fn in big_component_fns:
fn_calls = callgraph[fn].intersection(bcf_set)
idx += 1
if len(fn_calls) != 1:
continue
print "Pass 3/3: %d/%d\r"%(idx, total),
sys.stdout.flush()
callee = fn_calls.pop()
if (fn, callee) in result_set:
continue
assert len(fn_calls) == 0
cg2 = copy.deepcopy(callgraph)
cg2[fn].remove(callee)
fn_results.append( (size - biggest_component(strongly_connected_components(cg2)), callee, "called by", fn) )
print
return (function_bottlenecks, call_bottlenecks)
if __name__ == '__main__':
p = Parser()
for fname in sys.argv[1:]:
with open(fname, 'r') as f:
p.parse_callgraph_file(f)
sys.stdout.flush
print "Building callgraph"
callgraph = p.extract_callgraph()
print "Finding strongly connected components"
sccs = strongly_connected_components(callgraph)
print "Finding the transitive closure of the callgraph.."
closure = transitive_closure(callgraph)
print "Finding bottlenecks..."
bottlenecks = connection_bottlenecks(callgraph)
data = {
'callgraph' : callgraph,
'sccs' : sccs,
'closure' : closure,
'bottlenecks' : bottlenecks }
with open('callgraph.pkl', 'w') as f:
cPickle.dump(data, f)
|