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Diffstat (limited to 'absl/random/log_uniform_int_distribution.h')
| -rw-r--r-- | absl/random/log_uniform_int_distribution.h | 252 |
1 files changed, 252 insertions, 0 deletions
diff --git a/absl/random/log_uniform_int_distribution.h b/absl/random/log_uniform_int_distribution.h new file mode 100644 index 00000000..a12fa4cb --- /dev/null +++ b/absl/random/log_uniform_int_distribution.h @@ -0,0 +1,252 @@ +// Copyright 2017 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_RANDOM_LOG_UNIFORM_INT_DISTRIBUTION_H_ +#define ABSL_RANDOM_LOG_UNIFORM_INT_DISTRIBUTION_H_ + +#include <algorithm> +#include <cassert> +#include <cmath> +#include <istream> +#include <limits> +#include <ostream> +#include <type_traits> + +#include "absl/random/internal/distribution_impl.h" +#include "absl/random/internal/fastmath.h" +#include "absl/random/internal/iostream_state_saver.h" +#include "absl/random/internal/traits.h" +#include "absl/random/uniform_int_distribution.h" + +namespace absl { +inline namespace lts_2019_08_08 { + +// log_uniform_int_distribution: +// +// Returns a random variate R in range [min, max] such that +// floor(log(R-min, base)) is uniformly distributed. +// We ensure uniformity by discretization using the +// boundary sets [0, 1, base, base * base, ... min(base*n, max)] +// +template <typename IntType = int> +class log_uniform_int_distribution { + private: + using unsigned_type = + typename random_internal::make_unsigned_bits<IntType>::type; + + public: + using result_type = IntType; + + class param_type { + public: + using distribution_type = log_uniform_int_distribution; + + explicit param_type( + result_type min = 0, + result_type max = (std::numeric_limits<result_type>::max)(), + result_type base = 2) + : min_(min), + max_(max), + base_(base), + range_(static_cast<unsigned_type>(max_) - + static_cast<unsigned_type>(min_)), + log_range_(0) { + assert(max_ >= min_); + assert(base_ > 1); + + if (base_ == 2) { + // Determine where the first set bit is on range(), giving a log2(range) + // value which can be used to construct bounds. + log_range_ = (std::min)(random_internal::LeadingSetBit(range()), + std::numeric_limits<unsigned_type>::digits); + } else { + // NOTE: Computing the logN(x) introduces error from 2 sources: + // 1. Conversion of int to double loses precision for values >= + // 2^53, which may cause some log() computations to operate on + // different values. + // 2. The error introduced by the division will cause the result + // to differ from the expected value. + // + // Thus a result which should equal K may equal K +/- epsilon, + // which can eliminate some values depending on where the bounds fall. + const double inv_log_base = 1.0 / std::log(base_); + const double log_range = std::log(static_cast<double>(range()) + 0.5); + log_range_ = static_cast<int>(std::ceil(inv_log_base * log_range)); + } + } + + result_type(min)() const { return min_; } + result_type(max)() const { return max_; } + result_type base() const { return base_; } + + friend bool operator==(const param_type& a, const param_type& b) { + return a.min_ == b.min_ && a.max_ == b.max_ && a.base_ == b.base_; + } + + friend bool operator!=(const param_type& a, const param_type& b) { + return !(a == b); + } + + private: + friend class log_uniform_int_distribution; + + int log_range() const { return log_range_; } + unsigned_type range() const { return range_; } + + result_type min_; + result_type max_; + result_type base_; + unsigned_type range_; // max - min + int log_range_; // ceil(logN(range_)) + + static_assert(std::is_integral<IntType>::value, + "Class-template absl::log_uniform_int_distribution<> must be " + "parameterized using an integral type."); + }; + + log_uniform_int_distribution() : log_uniform_int_distribution(0) {} + + explicit log_uniform_int_distribution( + result_type min, + result_type max = (std::numeric_limits<result_type>::max)(), + result_type base = 2) + : param_(min, max, base) {} + + explicit log_uniform_int_distribution(const param_type& p) : param_(p) {} + + void reset() {} + + // generating functions + template <typename URBG> + result_type operator()(URBG& g) { // NOLINT(runtime/references) + return (*this)(g, param_); + } + + template <typename URBG> + result_type operator()(URBG& g, // NOLINT(runtime/references) + const param_type& p) { + return (p.min)() + Generate(g, p); + } + + result_type(min)() const { return (param_.min)(); } + result_type(max)() const { return (param_.max)(); } + result_type base() const { return param_.base(); } + + param_type param() const { return param_; } + void param(const param_type& p) { param_ = p; } + + friend bool operator==(const log_uniform_int_distribution& a, + const log_uniform_int_distribution& b) { + return a.param_ == b.param_; + } + friend bool operator!=(const log_uniform_int_distribution& a, + const log_uniform_int_distribution& b) { + return a.param_ != b.param_; + } + + private: + // Returns a log-uniform variate in the range [0, p.range()]. The caller + // should add min() to shift the result to the correct range. + template <typename URNG> + unsigned_type Generate(URNG& g, // NOLINT(runtime/references) + const param_type& p); + + param_type param_; +}; + +template <typename IntType> +template <typename URBG> +typename log_uniform_int_distribution<IntType>::unsigned_type +log_uniform_int_distribution<IntType>::Generate( + URBG& g, // NOLINT(runtime/references) + const param_type& p) { + // sample e over [0, log_range]. Map the results of e to this: + // 0 => 0 + // 1 => [1, b-1] + // 2 => [b, (b^2)-1] + // n => [b^(n-1)..(b^n)-1] + const int e = absl::uniform_int_distribution<int>(0, p.log_range())(g); + if (e == 0) { + return 0; + } + const int d = e - 1; + + unsigned_type base_e, top_e; + if (p.base() == 2) { + base_e = static_cast<unsigned_type>(1) << d; + + top_e = (e >= std::numeric_limits<unsigned_type>::digits) + ? (std::numeric_limits<unsigned_type>::max)() + : (static_cast<unsigned_type>(1) << e) - 1; + } else { + const double r = std::pow(p.base(), d); + const double s = (r * p.base()) - 1.0; + + base_e = (r > (std::numeric_limits<unsigned_type>::max)()) + ? (std::numeric_limits<unsigned_type>::max)() + : static_cast<unsigned_type>(r); + + top_e = (s > (std::numeric_limits<unsigned_type>::max)()) + ? (std::numeric_limits<unsigned_type>::max)() + : static_cast<unsigned_type>(s); + } + + const unsigned_type lo = (base_e >= p.range()) ? p.range() : base_e; + const unsigned_type hi = (top_e >= p.range()) ? p.range() : top_e; + + // choose uniformly over [lo, hi] + return absl::uniform_int_distribution<result_type>(lo, hi)(g); +} + +template <typename CharT, typename Traits, typename IntType> +std::basic_ostream<CharT, Traits>& operator<<( + std::basic_ostream<CharT, Traits>& os, // NOLINT(runtime/references) + const log_uniform_int_distribution<IntType>& x) { + using stream_type = + typename random_internal::stream_format_type<IntType>::type; + auto saver = random_internal::make_ostream_state_saver(os); + os << static_cast<stream_type>((x.min)()) << os.fill() + << static_cast<stream_type>((x.max)()) << os.fill() + << static_cast<stream_type>(x.base()); + return os; +} + +template <typename CharT, typename Traits, typename IntType> +std::basic_istream<CharT, Traits>& operator>>( + std::basic_istream<CharT, Traits>& is, // NOLINT(runtime/references) + log_uniform_int_distribution<IntType>& x) { // NOLINT(runtime/references) + using param_type = typename log_uniform_int_distribution<IntType>::param_type; + using result_type = + typename log_uniform_int_distribution<IntType>::result_type; + using stream_type = + typename random_internal::stream_format_type<IntType>::type; + + stream_type min; + stream_type max; + stream_type base; + + auto saver = random_internal::make_istream_state_saver(is); + is >> min >> max >> base; + if (!is.fail()) { + x.param(param_type(static_cast<result_type>(min), + static_cast<result_type>(max), + static_cast<result_type>(base))); + } + return is; +} + +} // inline namespace lts_2019_08_08 +} // namespace absl + +#endif // ABSL_RANDOM_LOG_UNIFORM_INT_DISTRIBUTION_H_ |