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| 1 /* |
| 2 * Copyright (c) 2015 The WebRTC project authors. All Rights Reserved. |
| 3 * |
| 4 * Use of this source code is governed by a BSD-style license |
| 5 * that can be found in the LICENSE file in the root of the source |
| 6 * tree. An additional intellectual property rights grant can be found |
| 7 * in the file PATENTS. All contributing project authors may |
| 8 * be found in the AUTHORS file in the root of the source tree. |
| 9 */ |
| 10 #include "webrtc/base/random.h" |
| 11 |
| 12 #include <math.h> |
| 13 |
| 14 #include "webrtc/base/checks.h" |
| 15 |
| 16 namespace webrtc { |
| 17 |
| 18 Random::Random(uint64_t seed) { |
| 19 RTC_DCHECK(seed != 0x0ul); |
| 20 state_ = seed; |
| 21 } |
| 22 |
| 23 uint32_t Random::Rand(uint32_t t) { |
| 24 // Casting the output to 32 bits will give an almost uniform number. |
| 25 // Pr[x=0] = (2^32-1) / (2^64-1) |
| 26 // Pr[x=k] = 2^32 / (2^64-1) for k!=0 |
| 27 // Uniform would be Pr[x=k] = 2^32 / 2^64 for all 32-bit integers k. |
| 28 uint32_t x = NextOutput(); |
| 29 // If x / 2^32 is uniform on [0,1), then x / 2^32 * (t+1) is uniform on |
| 30 // the interval [0,t+1), so the integer part is uniform on [0,t]. |
| 31 uint64_t result = x * (static_cast<uint64_t>(t) + 1); |
| 32 result >>= 32; |
| 33 return result; |
| 34 } |
| 35 |
| 36 uint32_t Random::Rand(uint32_t low, uint32_t high) { |
| 37 RTC_DCHECK(low <= high); |
| 38 return Rand(high - low) + low; |
| 39 } |
| 40 |
| 41 int32_t Random::Rand(int32_t low, int32_t high) { |
| 42 RTC_DCHECK(low <= high); |
| 43 // We rely on subtraction (and addition) to be the same for signed and |
| 44 // unsigned numbers in two-complement representation. Thus, although |
| 45 // high - low might be negative as an int, it is the correct difference |
| 46 // when interpreted as an unsigned. |
| 47 return Rand(high - low) + low; |
| 48 } |
| 49 |
| 50 template <> |
| 51 float Random::Rand<float>() { |
| 52 double result = NextOutput() - 1; |
| 53 result = result / 0xFFFFFFFFFFFFFFFEull; |
| 54 return static_cast<float>(result); |
| 55 } |
| 56 |
| 57 template <> |
| 58 double Random::Rand<double>() { |
| 59 double result = NextOutput() - 1; |
| 60 result = result / 0xFFFFFFFFFFFFFFFEull; |
| 61 return result; |
| 62 } |
| 63 |
| 64 template <> |
| 65 bool Random::Rand<bool>() { |
| 66 return Rand(0, 1) == 1; |
| 67 } |
| 68 |
| 69 double Random::Gaussian(double mean, double standard_deviation) { |
| 70 // Creating a Normal distribution variable from two independent uniform |
| 71 // variables based on the Box-Muller transform, which is defined on the |
| 72 // interval (0, 1]. Note that we rely on NextOutput to generate integers |
| 73 // in the range [1, 2^64-1]. Normally this behavior is a bit frustrating, |
| 74 // but here it is exactly what we need. |
| 75 const double kPi = 3.14159265358979323846; |
| 76 double u1 = static_cast<double>(NextOutput()) / 0xFFFFFFFFFFFFFFFFull; |
| 77 double u2 = static_cast<double>(NextOutput()) / 0xFFFFFFFFFFFFFFFFull; |
| 78 return mean + standard_deviation * sqrt(-2 * log(u1)) * cos(2 * kPi * u2); |
| 79 } |
| 80 |
| 81 double Random::Exponential(double lambda) { |
| 82 double uniform = Rand<double>(); |
| 83 return -log(uniform) / lambda; |
| 84 } |
| 85 |
| 86 } // namespace webrtc |
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