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-// Copyright 2019 The Abseil Authors.
-//
-// Licensed under the Apache License, Version 2.0 (the "License");
-// you may not use this file except in compliance with the License.
-// You may obtain a copy of the License at
-//
-// https://www.apache.org/licenses/LICENSE-2.0
-//
-// Unless required by applicable law or agreed to in writing, software
-// distributed under the License is distributed on an "AS IS" BASIS,
-// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-// See the License for the specific language governing permissions and
-// limitations under the License.
-
-#ifndef ABSL_BASE_INTERNAL_EXPONENTIAL_BIASED_H_
-#define ABSL_BASE_INTERNAL_EXPONENTIAL_BIASED_H_
-
-#include <stdint.h>
-
-#include "absl/base/config.h"
-#include "absl/base/macros.h"
-
-namespace absl {
-ABSL_NAMESPACE_BEGIN
-namespace base_internal {
-
-// ExponentialBiased provides a small and fast random number generator for a
-// rounded exponential distribution. This generator manages very little state,
-// and imposes no synchronization overhead. This makes it useful in specialized
-// scenarios requiring minimum overhead, such as stride based periodic sampling.
-//
-// ExponentialBiased provides two closely related functions, GetSkipCount() and
-// GetStride(), both returning a rounded integer defining a number of events
-// required before some event with a given mean probability occurs.
-//
-// The distribution is useful to generate a random wait time or some periodic
-// event with a given mean probability. For example, if an action is supposed to
-// happen on average once every 'N' events, then we can get a random 'stride'
-// counting down how long before the event to happen. For example, if we'd want
-// to sample one in every 1000 'Frobber' calls, our code could look like this:
-//
-// Frobber::Frobber() {
-// stride_ = exponential_biased_.GetStride(1000);
-// }
-//
-// void Frobber::Frob(int arg) {
-// if (--stride == 0) {
-// SampleFrob(arg);
-// stride_ = exponential_biased_.GetStride(1000);
-// }
-// ...
-// }
-//
-// The rounding of the return value creates a bias, especially for smaller means
-// where the distribution of the fraction is not evenly distributed. We correct
-// this bias by tracking the fraction we rounded up or down on each iteration,
-// effectively tracking the distance between the cumulative value, and the
-// rounded cumulative value. For example, given a mean of 2:
-//
-// raw = 1.63076, cumulative = 1.63076, rounded = 2, bias = -0.36923
-// raw = 0.14624, cumulative = 1.77701, rounded = 2, bias = 0.14624
-// raw = 4.93194, cumulative = 6.70895, rounded = 7, bias = -0.06805
-// raw = 0.24206, cumulative = 6.95101, rounded = 7, bias = 0.24206
-// etc...
-//
-// Adjusting with rounding bias is relatively trivial:
-//
-// double value = bias_ + exponential_distribution(mean)();
-// double rounded_value = std::round(value);
-// bias_ = value - rounded_value;
-// return rounded_value;
-//
-// This class is thread-compatible.
-class ExponentialBiased {
- public:
- // The number of bits set by NextRandom.
- static constexpr int kPrngNumBits = 48;
-
- // `GetSkipCount()` returns the number of events to skip before some chosen
- // event happens. For example, randomly tossing a coin, we will on average
- // throw heads once before we get tails. We can simulate random coin tosses
- // using GetSkipCount() as:
- //
- // ExponentialBiased eb;
- // for (...) {
- // int number_of_heads_before_tail = eb.GetSkipCount(1);
- // for (int flips = 0; flips < number_of_heads_before_tail; ++flips) {
- // printf("head...");
- // }
- // printf("tail\n");
- // }
- //
- int64_t GetSkipCount(int64_t mean);
-
- // GetStride() returns the number of events required for a specific event to
- // happen. See the class comments for a usage example. `GetStride()` is
- // equivalent to `GetSkipCount(mean - 1) + 1`. When to use `GetStride()` or
- // `GetSkipCount()` depends mostly on what best fits the use case.
- int64_t GetStride(int64_t mean);
-
- // Computes a random number in the range [0, 1<<(kPrngNumBits+1) - 1]
- //
- // This is public to enable testing.
- static uint64_t NextRandom(uint64_t rnd);
-
- private:
- void Initialize();
-
- uint64_t rng_{0};
- double bias_{0};
- bool initialized_{false};
-};
-
-// Returns the next prng value.
-// pRNG is: aX+b mod c with a = 0x5DEECE66D, b = 0xB, c = 1<<48
-// This is the lrand64 generator.
-inline uint64_t ExponentialBiased::NextRandom(uint64_t rnd) {
- const uint64_t prng_mult = uint64_t{0x5DEECE66D};
- const uint64_t prng_add = 0xB;
- const uint64_t prng_mod_power = 48;
- const uint64_t prng_mod_mask =
- ~((~static_cast<uint64_t>(0)) << prng_mod_power);
- return (prng_mult * rnd + prng_add) & prng_mod_mask;
-}
-
-} // namespace base_internal
-ABSL_NAMESPACE_END
-} // namespace absl
-
-#endif // ABSL_BASE_INTERNAL_EXPONENTIAL_BIASED_H_