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1 // Copyright (c) 2011 Helge Bahmann
2 //
3 // Distributed under the Boost Software License, Version 1.0.
4 // See accompanying file LICENSE_1_0.txt or copy at
5 // http://www.boost.org/LICENSE_1_0.txt)
6
7 // Attempt to determine whether the operations on atomic variables
8 // do in fact behave atomically: Let multiple threads race modifying
9 // a shared atomic variable and verify that it behaves as expected.
10 //
11 // We assume that "observable race condition" events are exponentially
12 // distributed, with unknown "average time between observable races"
13 // (which is just the reciprocal of exp distribution parameter lambda).
14 // Use a non-atomic implementation that intentionally exhibits a
15 // (hopefully tight) race to compute the maximum-likelihood estimate
16 // for this time. From this, compute an estimate that covers the
17 // unknown value with 0.995 confidence (using chi square quantile).
18 //
19 // Use this estimate to pick a timeout for the race tests of the
20 // atomic implementations such that under the assumed distribution
21 // we get 0.995 probability to detect a race (if there is one).
22 //
23 // Overall this yields 0.995 * 0.995 > 0.99 confidence that the
24 // operations truly behave atomic if this test program does not
25 // report an error.
26
27 #include <boost/atomic.hpp>
28
29 #include <cstddef>
30 #include <algorithm>
31 #include <boost/config.hpp>
32 #include <boost/ref.hpp>
33 #include <boost/function.hpp>
34 #include <boost/bind/bind.hpp>
35 #include <boost/date_time/posix_time/posix_time_types.hpp>
36 #include <boost/thread/thread.hpp>
37 #include <boost/thread/thread_time.hpp>
38 #include <boost/thread/lock_guard.hpp>
39 #include <boost/thread/lock_types.hpp>
40 #include <boost/thread/mutex.hpp>
41 #include <boost/thread/condition_variable.hpp>
42 #include <boost/core/lightweight_test.hpp>
43
44 /* helper class to let two instances of a function race against each
45 other, with configurable timeout and early abort on detection of error */
46 class concurrent_runner
47 {
48 public:
49 /* concurrently run the function in two threads, until either timeout
50 or one of the functions returns "false"; returns true if timeout
51 was reached, or false if early abort and updates timeout accordingly */
52 static bool execute(const boost::function<bool(std::size_t)> & fn, boost::posix_time::time_duration & timeout)
53 {
54 concurrent_runner runner(fn);
55 runner.wait_finish(timeout);
56 return !runner.failure();
57 }
58
59 concurrent_runner(const boost::function<bool(std::size_t)> & fn) :
60 finished_(false), failure_(false)
61 {
62 boost::thread(boost::bind(&concurrent_runner::thread_function, this, fn, 0)).swap(first_thread_);
63 boost::thread(boost::bind(&concurrent_runner::thread_function, this, fn, 1)).swap(second_thread_);
64 }
65
66 void wait_finish(boost::posix_time::time_duration & timeout)
67 {
68 boost::system_time start = boost::get_system_time();
69 boost::system_time end = start + timeout;
70
71 {
72 boost::unique_lock< boost::mutex > guard(m_);
73 while (boost::get_system_time() < end && !finished())
74 c_.timed_wait(guard, end);
75 }
76
77 finished_.store(true, boost::memory_order_relaxed);
78
79 first_thread_.join();
80 second_thread_.join();
81
82 boost::posix_time::time_duration duration = boost::get_system_time() - start;
83 if (duration < timeout)
84 timeout = duration;
85 }
86
87 bool finished(void) const BOOST_NOEXCEPT_OR_NOTHROW
88 {
89 return finished_.load(boost::memory_order_relaxed);
90 }
91
92 bool failure(void) const BOOST_NOEXCEPT_OR_NOTHROW
93 {
94 return failure_;
95 }
96
97 private:
98 void thread_function(boost::function<bool(std::size_t)> function, std::size_t instance)
99 {
100 while (!finished())
101 {
102 if (!function(instance))
103 {
104 boost::lock_guard< boost::mutex > guard(m_);
105 failure_ = true;
106 finished_.store(true, boost::memory_order_relaxed);
107 c_.notify_all();
108 break;
109 }
110 }
111 }
112
113 private:
114 boost::mutex m_;
115 boost::condition_variable c_;
116
117 boost::atomic<bool> finished_;
118 bool failure_;
119
120 boost::thread first_thread_;
121 boost::thread second_thread_;
122 };
123
124 bool racy_add(volatile unsigned int & value, std::size_t instance)
125 {
126 std::size_t shift = instance * 8;
127 unsigned int mask = 0xff << shift;
128 for (std::size_t n = 0; n < 255; ++n)
129 {
130 unsigned int tmp = value;
131 value = tmp + (1 << shift);
132
133 if ((tmp & mask) != (n << shift))
134 return false;
135 }
136
137 unsigned int tmp = value;
138 value = tmp & ~mask;
139 if ((tmp & mask) != mask)
140 return false;
141
142 return true;
143 }
144
145 /* compute estimate for average time between races being observable, in usecs */
146 double estimate_avg_race_time(void)
147 {
148 double sum = 0.0;
149
150 /* take 10 samples */
151 for (std::size_t n = 0; n < 10; ++n)
152 {
153 boost::posix_time::time_duration timeout(0, 0, 10);
154
155 volatile unsigned int value(0);
156 bool success = concurrent_runner::execute(
157 boost::bind(racy_add, boost::ref(value), boost::placeholders::_1),
158 timeout
159 );
160
161 if (success)
162 {
163 BOOST_ERROR("Failed to establish baseline time for reproducing race condition");
164 }
165
166 sum = sum + timeout.total_microseconds();
167 }
168
169 /* determine maximum likelihood estimate for average time between
170 race observations */
171 double avg_race_time_mle = (sum / 10);
172
173 /* pick 0.995 confidence (7.44 = chi square 0.995 confidence) */
174 double avg_race_time_995 = avg_race_time_mle * 2 * 10 / 7.44;
175
176 return avg_race_time_995;
177 }
178
179 template<typename value_type, std::size_t shift_>
180 bool test_arithmetic(boost::atomic<value_type> & shared_value, std::size_t instance)
181 {
182 std::size_t shift = instance * 8;
183 value_type mask = 0xff << shift;
184 value_type increment = 1 << shift;
185
186 value_type expected = 0;
187
188 for (std::size_t n = 0; n < 255; ++n)
189 {
190 value_type tmp = shared_value.fetch_add(increment, boost::memory_order_relaxed);
191 if ( (tmp & mask) != (expected << shift) )
192 return false;
193 ++expected;
194 }
195 for (std::size_t n = 0; n < 255; ++n)
196 {
197 value_type tmp = shared_value.fetch_sub(increment, boost::memory_order_relaxed);
198 if ( (tmp & mask) != (expected << shift) )
199 return false;
200 --expected;
201 }
202
203 return true;
204 }
205
206 template<typename value_type, std::size_t shift_>
207 bool test_bitops(boost::atomic<value_type> & shared_value, std::size_t instance)
208 {
209 std::size_t shift = instance * 8;
210 value_type mask = 0xff << shift;
211
212 value_type expected = 0;
213
214 for (std::size_t k = 0; k < 8; ++k)
215 {
216 value_type mod = 1u << k;
217 value_type tmp = shared_value.fetch_or(mod << shift, boost::memory_order_relaxed);
218 if ( (tmp & mask) != (expected << shift))
219 return false;
220 expected = expected | mod;
221 }
222 for (std::size_t k = 0; k < 8; ++k)
223 {
224 value_type tmp = shared_value.fetch_and(~(1u << (shift + k)), boost::memory_order_relaxed);
225 if ( (tmp & mask) != (expected << shift))
226 return false;
227 expected = expected & ~(1u << k);
228 }
229 for (std::size_t k = 0; k < 8; ++k)
230 {
231 value_type mod = 255u ^ (1u << k);
232 value_type tmp = shared_value.fetch_xor(mod << shift, boost::memory_order_relaxed);
233 if ( (tmp & mask) != (expected << shift))
234 return false;
235 expected = expected ^ mod;
236 }
237
238 value_type tmp = shared_value.fetch_and(~mask, boost::memory_order_relaxed);
239 if ( (tmp & mask) != (expected << shift) )
240 return false;
241
242 return true;
243 }
244
245 int main(int, char *[])
246 {
247 boost::posix_time::time_duration reciprocal_lambda;
248
249 double avg_race_time = estimate_avg_race_time();
250
251 /* 5.298 = 0.995 quantile of exponential distribution */
252 const boost::posix_time::time_duration timeout = boost::posix_time::microseconds((long)(5.298 * avg_race_time));
253
254 {
255 boost::atomic<unsigned int> value(0);
256
257 /* testing two different operations in this loop, therefore
258 enlarge timeout */
259 boost::posix_time::time_duration tmp(timeout * 2);
260
261 bool success = concurrent_runner::execute(
262 boost::bind(test_arithmetic<unsigned int, 0>, boost::ref(value), boost::placeholders::_1),
263 tmp
264 );
265
266 BOOST_TEST(success); // concurrent arithmetic error
267 }
268
269 {
270 boost::atomic<unsigned int> value(0);
271
272 /* testing three different operations in this loop, therefore
273 enlarge timeout */
274 boost::posix_time::time_duration tmp(timeout * 3);
275
276 bool success = concurrent_runner::execute(
277 boost::bind(test_bitops<unsigned int, 0>, boost::ref(value), boost::placeholders::_1),
278 tmp
279 );
280
281 BOOST_TEST(success); // concurrent bit operations error
282 }
283
284 return boost::report_errors();
285 }