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1 // Copyright (c) 2011 The Chromium Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4 
5 #include "base/rand_util.h"
6 
7 #include <algorithm>
8 #include <limits>
9 
10 #include "testing/gtest/include/gtest/gtest.h"
11 
12 namespace {
13 
14 const int kIntMin = std::numeric_limits<int>::min();
15 const int kIntMax = std::numeric_limits<int>::max();
16 
17 }  // namespace
18 
TEST(RandUtilTest,SameMinAndMax)19 TEST(RandUtilTest, SameMinAndMax) {
20   EXPECT_EQ(base::RandInt(0, 0), 0);
21   EXPECT_EQ(base::RandInt(kIntMin, kIntMin), kIntMin);
22   EXPECT_EQ(base::RandInt(kIntMax, kIntMax), kIntMax);
23 }
24 
TEST(RandUtilTest,RandDouble)25 TEST(RandUtilTest, RandDouble) {
26   // Force 64-bit precision, making sure we're not in a 80-bit FPU register.
27   volatile double number = base::RandDouble();
28   EXPECT_GT(1.0, number);
29   EXPECT_LE(0.0, number);
30 }
31 
TEST(RandUtilTest,RandBytes)32 TEST(RandUtilTest, RandBytes) {
33   const size_t buffer_size = 50;
34   char buffer[buffer_size];
35   memset(buffer, 0, buffer_size);
36   base::RandBytes(buffer, buffer_size);
37   std::sort(buffer, buffer + buffer_size);
38   // Probability of occurrence of less than 25 unique bytes in 50 random bytes
39   // is below 10^-25.
40   EXPECT_GT(std::unique(buffer, buffer + buffer_size) - buffer, 25);
41 }
42 
TEST(RandUtilTest,RandBytesAsString)43 TEST(RandUtilTest, RandBytesAsString) {
44   std::string random_string = base::RandBytesAsString(1);
45   EXPECT_EQ(1U, random_string.size());
46   random_string = base::RandBytesAsString(145);
47   EXPECT_EQ(145U, random_string.size());
48   char accumulator = 0;
49   for (size_t i = 0; i < random_string.size(); ++i)
50     accumulator |= random_string[i];
51   // In theory this test can fail, but it won't before the universe dies of
52   // heat death.
53   EXPECT_NE(0, accumulator);
54 }
55 
56 // Make sure that it is still appropriate to use RandGenerator in conjunction
57 // with std::random_shuffle().
TEST(RandUtilTest,RandGeneratorForRandomShuffle)58 TEST(RandUtilTest, RandGeneratorForRandomShuffle) {
59   EXPECT_EQ(base::RandGenerator(1), 0U);
60   EXPECT_LE(std::numeric_limits<ptrdiff_t>::max(),
61             std::numeric_limits<int64>::max());
62 }
63 
TEST(RandUtilTest,RandGeneratorIsUniform)64 TEST(RandUtilTest, RandGeneratorIsUniform) {
65   // Verify that RandGenerator has a uniform distribution. This is a
66   // regression test that consistently failed when RandGenerator was
67   // implemented this way:
68   //
69   //   return base::RandUint64() % max;
70   //
71   // A degenerate case for such an implementation is e.g. a top of
72   // range that is 2/3rds of the way to MAX_UINT64, in which case the
73   // bottom half of the range would be twice as likely to occur as the
74   // top half. A bit of calculus care of jar@ shows that the largest
75   // measurable delta is when the top of the range is 3/4ths of the
76   // way, so that's what we use in the test.
77   const uint64 kTopOfRange = (std::numeric_limits<uint64>::max() / 4ULL) * 3ULL;
78   const uint64 kExpectedAverage = kTopOfRange / 2ULL;
79   const uint64 kAllowedVariance = kExpectedAverage / 50ULL;  // +/- 2%
80   const int kMinAttempts = 1000;
81   const int kMaxAttempts = 1000000;
82 
83   double cumulative_average = 0.0;
84   int count = 0;
85   while (count < kMaxAttempts) {
86     uint64 value = base::RandGenerator(kTopOfRange);
87     cumulative_average = (count * cumulative_average + value) / (count + 1);
88 
89     // Don't quit too quickly for things to start converging, or we may have
90     // a false positive.
91     if (count > kMinAttempts &&
92         kExpectedAverage - kAllowedVariance < cumulative_average &&
93         cumulative_average < kExpectedAverage + kAllowedVariance) {
94       break;
95     }
96 
97     ++count;
98   }
99 
100   ASSERT_LT(count, kMaxAttempts) << "Expected average was " <<
101       kExpectedAverage << ", average ended at " << cumulative_average;
102 }
103 
TEST(RandUtilTest,RandUint64ProducesBothValuesOfAllBits)104 TEST(RandUtilTest, RandUint64ProducesBothValuesOfAllBits) {
105   // This tests to see that our underlying random generator is good
106   // enough, for some value of good enough.
107   uint64 kAllZeros = 0ULL;
108   uint64 kAllOnes = ~kAllZeros;
109   uint64 found_ones = kAllZeros;
110   uint64 found_zeros = kAllOnes;
111 
112   for (size_t i = 0; i < 1000; ++i) {
113     uint64 value = base::RandUint64();
114     found_ones |= value;
115     found_zeros &= value;
116 
117     if (found_zeros == kAllZeros && found_ones == kAllOnes)
118       return;
119   }
120 
121   FAIL() << "Didn't achieve all bit values in maximum number of tries.";
122 }
123