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author | Abseil Team <absl-team@google.com> | 2019-06-21T20·11-0700 |
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committer | Gennadiy Rozental <rogeeff@google.com> | 2019-06-21T20·18-0400 |
commit | e9324d926a9189e222741fce6e676f0944661a72 (patch) | |
tree | a08568a709940c376454da34c9d8aac021378e5f /absl/random/uniform_int_distribution.h | |
parent | 43ef2148c0936ebf7cb4be6b19927a9d9d145b8f (diff) |
Export of internal Abseil changes.
-- 7a6ff16a85beb730c172d5d25cf1b5e1be885c56 by Laramie Leavitt <lar@google.com>: Internal change. PiperOrigin-RevId: 254454546 -- ff8f9bafaefc26d451f576ea4a06d150aed63f6f by Andy Soffer <asoffer@google.com>: Internal changes PiperOrigin-RevId: 254451562 -- deefc5b651b479ce36f0b4ef203e119c0c8936f2 by CJ Johnson <johnsoncj@google.com>: Account for subtracting unsigned values from the size of InlinedVector PiperOrigin-RevId: 254450625 -- 3c677316a27bcadc17e41957c809ca472d5fef14 by Andy Soffer <asoffer@google.com>: Add C++17's std::make_from_tuple to absl/utility/utility.h PiperOrigin-RevId: 254411573 -- 4ee3536a918830eeec402a28fc31a62c7c90b940 by CJ Johnson <johnsoncj@google.com>: Adds benchmark for the rest of the InlinedVector public API PiperOrigin-RevId: 254408378 -- e5a21a00700ee83498ff1efbf649169756463ee4 by CJ Johnson <johnsoncj@google.com>: Updates the definition of InlinedVector::shrink_to_fit() to be exception safe and adds exception safety tests for it. PiperOrigin-RevId: 254401387 -- 2ea82e72b86d82d78b4e4712a63a55981b53c64b by Laramie Leavitt <lar@google.com>: Use absl::InsecureBitGen in place of std::mt19937 in tests absl/random/...distribution_test.cc PiperOrigin-RevId: 254289444 -- fa099e02c413a7ffda732415e8105cad26a90337 by Andy Soffer <asoffer@google.com>: Internal changes PiperOrigin-RevId: 254286334 -- ce34b7f36933b30cfa35b9c9a5697a792b5666e4 by Andy Soffer <asoffer@google.com>: Internal changes PiperOrigin-RevId: 254273059 -- 6f9c473da7c2090c2e85a37c5f00622e8a912a89 by Jorg Brown <jorg@google.com>: Change absl::container_internal::CompressedTuple to instantiate its internal Storage class with the name of the type it's holding, rather than the name of the Tuple. This is not an externally-visible change, other than less compiler memory is used and less debug information is generated. PiperOrigin-RevId: 254269285 -- 8bd3c186bf2fc0c55d8a2dd6f28a5327502c9fba by Andy Soffer <asoffer@google.com>: Adding short-hand IntervalClosed for IntervalClosedClosed and IntervalOpen for IntervalOpenOpen. PiperOrigin-RevId: 254252419 -- ea957f99b6a04fccd42aa05605605f3b44b1ecfd by Abseil Team <absl-team@google.com>: Do not directly use __SIZEOF_INT128__. In order to avoid linker errors when building with clang-cl (__fixunsdfti, __udivti3 and __fixunssfti are undefined), this CL uses ABSL_HAVE_INTRINSIC_INT128 which is not defined for clang-cl. PiperOrigin-RevId: 254250739 -- 89ab385cd26b34d64130bce856253aaba96d2345 by Andy Soffer <asoffer@google.com>: Internal changes PiperOrigin-RevId: 254242321 -- cffc793d93eca6d6bdf7de733847b6ab4a255ae9 by CJ Johnson <johnsoncj@google.com>: Adds benchmark for InlinedVector::reserve(size_type) PiperOrigin-RevId: 254199226 -- c90c7a9fa3c8f0c9d5114036979548b055ea2f2a by Gennadiy Rozental <rogeeff@google.com>: Import of CCTZ from GitHub. PiperOrigin-RevId: 254072387 -- c4c388beae016c9570ab54ffa1d52660e4a85b7b by Laramie Leavitt <lar@google.com>: Internal cleanup. PiperOrigin-RevId: 254062381 -- d3c992e221cc74e5372d0c8fa410170b6a43c062 by Tom Manshreck <shreck@google.com>: Update distributions.h to Abseil standards PiperOrigin-RevId: 254054946 -- d15ad0035c34ef11b14fadc5a4a2d3ec415f5518 by CJ Johnson <johnsoncj@google.com>: Removes functions with only one caller from the implementation details of InlinedVector by manually inlining the definitions PiperOrigin-RevId: 254005427 -- 2f37e807efc3a8ef1f4b539bdd379917d4151520 by Andy Soffer <asoffer@google.com>: Initial release of Abseil Random PiperOrigin-RevId: 253999861 -- 24ed1694b6430791d781ed533a8f8ccf6cac5856 by CJ Johnson <johnsoncj@google.com>: Updates the definition of InlinedVector::assign(...)/InlinedVector::operator=(...) to new, exception-safe implementations with exception safety tests to boot PiperOrigin-RevId: 253993691 -- 5613d95f5a7e34a535cfaeadce801441e990843e by CJ Johnson <johnsoncj@google.com>: Adds benchmarks for InlinedVector::shrink_to_fit() PiperOrigin-RevId: 253989647 -- 2a96ddfdac40bbb8cb6a7f1aeab90917067c6e63 by Abseil Team <absl-team@google.com>: Initial release of Abseil Random PiperOrigin-RevId: 253927497 -- bf1aff8fc9ffa921ad74643e9525ecf25b0d8dc1 by Andy Soffer <asoffer@google.com>: Initial release of Abseil Random PiperOrigin-RevId: 253920512 -- bfc03f4a3dcda3cf3a4b84bdb84cda24e3394f41 by Laramie Leavitt <lar@google.com>: Internal change. PiperOrigin-RevId: 253886486 -- 05036cfcc078ca7c5f581a00dfb0daed568cbb69 by Eric Fiselier <ericwf@google.com>: Don't include `winsock2.h` because it drags in `windows.h` and friends, and they define awful macros like OPAQUE, ERROR, and more. This has the potential to break abseil users. Instead we only forward declare `timeval` and require Windows users include `winsock2.h` themselves. This is both inconsistent and poor QoI, but so including 'windows.h' is bad too. PiperOrigin-RevId: 253852615 GitOrigin-RevId: 7a6ff16a85beb730c172d5d25cf1b5e1be885c56 Change-Id: Icd6aff87da26f29ec8915da856f051129987cef6
Diffstat (limited to 'absl/random/uniform_int_distribution.h')
-rw-r--r-- | absl/random/uniform_int_distribution.h | 273 |
1 files changed, 273 insertions, 0 deletions
diff --git a/absl/random/uniform_int_distribution.h b/absl/random/uniform_int_distribution.h new file mode 100644 index 000000000000..4970486a561a --- /dev/null +++ b/absl/random/uniform_int_distribution.h @@ -0,0 +1,273 @@ +// 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. +// +// ----------------------------------------------------------------------------- +// File: uniform_int_distribution.h +// ----------------------------------------------------------------------------- +// +// This header defines a class for representing a uniform integer distribution +// over the closed (inclusive) interval [a,b]. You use this distribution in +// combination with an Abseil random bit generator to produce random values +// according to the rules of the distribution. +// +// `absl::uniform_int_distribution` is a drop-in replacement for the C++11 +// `std::uniform_int_distribution` [rand.dist.uni.int] but is considerably +// faster than the libstdc++ implementation. + +#ifndef ABSL_RANDOM_UNIFORM_INT_DISTRIBUTION_H_ +#define ABSL_RANDOM_UNIFORM_INT_DISTRIBUTION_H_ + +#include <cassert> +#include <istream> +#include <limits> +#include <type_traits> + +#include "absl/base/optimization.h" +#include "absl/random/internal/distribution_impl.h" +#include "absl/random/internal/fast_uniform_bits.h" +#include "absl/random/internal/iostream_state_saver.h" +#include "absl/random/internal/traits.h" + +namespace absl { + +// absl::uniform_int_distribution<T> +// +// This distribution produces random integer values uniformly distributed in the +// closed (inclusive) interval [a, b]. +// +// Example: +// +// absl::BitGen gen; +// +// // Use the distribution to produce a value between 1 and 6, inclusive. +// int die_roll = absl::uniform_int_distribution<int>(1, 6)(gen); +// +template <typename IntType = int> +class 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 = uniform_int_distribution; + + explicit param_type( + result_type lo = 0, + result_type hi = (std::numeric_limits<result_type>::max)()) + : lo_(lo), + range_(static_cast<unsigned_type>(hi) - + static_cast<unsigned_type>(lo)) { + // [rand.dist.uni.int] precondition 2 + assert(lo <= hi); + } + + result_type a() const { return lo_; } + result_type b() const { + return static_cast<result_type>(static_cast<unsigned_type>(lo_) + range_); + } + + friend bool operator==(const param_type& a, const param_type& b) { + return a.lo_ == b.lo_ && a.range_ == b.range_; + } + + friend bool operator!=(const param_type& a, const param_type& b) { + return !(a == b); + } + + private: + friend class uniform_int_distribution; + unsigned_type range() const { return range_; } + + result_type lo_; + unsigned_type range_; + + static_assert(std::is_integral<result_type>::value, + "Class-template absl::uniform_int_distribution<> must be " + "parameterized using an integral type."); + }; // param_type + + uniform_int_distribution() : uniform_int_distribution(0) {} + + explicit uniform_int_distribution( + result_type lo, + result_type hi = (std::numeric_limits<result_type>::max)()) + : param_(lo, hi) {} + + explicit uniform_int_distribution(const param_type& param) : param_(param) {} + + // uniform_int_distribution<T>::reset() + // + // Resets the uniform int distribution. Note that this function has no effect + // because the distribution already produces independent values. + void reset() {} + + template <typename URBG> + result_type operator()(URBG& gen) { // NOLINT(runtime/references) + return (*this)(gen, param()); + } + + template <typename URBG> + result_type operator()( + URBG& gen, const param_type& param) { // NOLINT(runtime/references) + return param.a() + Generate(gen, param.range()); + } + + result_type a() const { return param_.a(); } + result_type b() const { return param_.b(); } + + param_type param() const { return param_; } + void param(const param_type& params) { param_ = params; } + + result_type(min)() const { return a(); } + result_type(max)() const { return b(); } + + friend bool operator==(const uniform_int_distribution& a, + const uniform_int_distribution& b) { + return a.param_ == b.param_; + } + friend bool operator!=(const uniform_int_distribution& a, + const uniform_int_distribution& b) { + return !(a == b); + } + + private: + // Generates a value in the *closed* interval [0, R] + template <typename URBG> + unsigned_type Generate(URBG& g, // NOLINT(runtime/references) + unsigned_type R); + param_type param_; +}; + +// ----------------------------------------------------------------------------- +// Implementation details follow +// ----------------------------------------------------------------------------- +template <typename CharT, typename Traits, typename IntType> +std::basic_ostream<CharT, Traits>& operator<<( + std::basic_ostream<CharT, Traits>& os, + const 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.a()) << os.fill() + << static_cast<stream_type>(x.b()); + return os; +} + +template <typename CharT, typename Traits, typename IntType> +std::basic_istream<CharT, Traits>& operator>>( + std::basic_istream<CharT, Traits>& is, + uniform_int_distribution<IntType>& x) { + using param_type = typename uniform_int_distribution<IntType>::param_type; + using result_type = typename uniform_int_distribution<IntType>::result_type; + using stream_type = + typename random_internal::stream_format_type<IntType>::type; + + stream_type a; + stream_type b; + + auto saver = random_internal::make_istream_state_saver(is); + is >> a >> b; + if (!is.fail()) { + x.param( + param_type(static_cast<result_type>(a), static_cast<result_type>(b))); + } + return is; +} + +template <typename IntType> +template <typename URBG> +typename random_internal::make_unsigned_bits<IntType>::type +uniform_int_distribution<IntType>::Generate( + URBG& g, // NOLINT(runtime/references) + typename random_internal::make_unsigned_bits<IntType>::type R) { + random_internal::FastUniformBits<unsigned_type> fast_bits; + unsigned_type bits = fast_bits(g); + const unsigned_type Lim = R + 1; + if ((R & Lim) == 0) { + // If the interval's length is a power of two range, just take the low bits. + return bits & R; + } + + // Generates a uniform variate on [0, Lim) using fixed-point multiplication. + // The above fast-path guarantees that Lim is representable in unsigned_type. + // + // Algorithm adapted from + // http://lemire.me/blog/2016/06/30/fast-random-shuffling/, with added + // explanation. + // + // The algorithm creates a uniform variate `bits` in the interval [0, 2^N), + // and treats it as the fractional part of a fixed-point real value in [0, 1), + // multiplied by 2^N. For example, 0.25 would be represented as 2^(N - 2), + // because 2^N * 0.25 == 2^(N - 2). + // + // Next, `bits` and `Lim` are multiplied with a wide-multiply to bring the + // value into the range [0, Lim). The integral part (the high word of the + // multiplication result) is then very nearly the desired result. However, + // this is not quite accurate; viewing the multiplication result as one + // double-width integer, the resulting values for the sample are mapped as + // follows: + // + // If the result lies in this interval: Return this value: + // [0, 2^N) 0 + // [2^N, 2 * 2^N) 1 + // ... ... + // [K * 2^N, (K + 1) * 2^N) K + // ... ... + // [(Lim - 1) * 2^N, Lim * 2^N) Lim - 1 + // + // While all of these intervals have the same size, the result of `bits * Lim` + // must be a multiple of `Lim`, and not all of these intervals contain the + // same number of multiples of `Lim`. In particular, some contain + // `F = floor(2^N / Lim)` and some contain `F + 1 = ceil(2^N / Lim)`. This + // difference produces a small nonuniformity, which is corrected by applying + // rejection sampling to one of the values in the "larger intervals" (i.e., + // the intervals containing `F + 1` multiples of `Lim`. + // + // An interval contains `F + 1` multiples of `Lim` if and only if its smallest + // value modulo 2^N is less than `2^N % Lim`. The unique value satisfying + // this property is used as the one for rejection. That is, a value of + // `bits * Lim` is rejected if `(bit * Lim) % 2^N < (2^N % Lim)`. + + using helper = random_internal::wide_multiply<unsigned_type>; + auto product = helper::multiply(bits, Lim); + + // Two optimizations here: + // * Rejection occurs with some probability less than 1/2, and for reasonable + // ranges considerably less (in particular, less than 1/(F+1)), so + // ABSL_PREDICT_FALSE is apt. + // * `Lim` is an overestimate of `threshold`, and doesn't require a divide. + if (ABSL_PREDICT_FALSE(helper::lo(product) < Lim)) { + // This quantity is exactly equal to `2^N % Lim`, but does not require high + // precision calculations: `2^N % Lim` is congruent to `(2^N - Lim) % Lim`. + // Ideally this could be expressed simply as `-X` rather than `2^N - X`, but + // for types smaller than int, this calculation is incorrect due to integer + // promotion rules. + const unsigned_type threshold = + ((std::numeric_limits<unsigned_type>::max)() - Lim + 1) % Lim; + while (helper::lo(product) < threshold) { + bits = fast_bits(g); + product = helper::multiply(bits, Lim); + } + } + + return helper::hi(product); +} + +} // namespace absl + +#endif // ABSL_RANDOM_UNIFORM_INT_DISTRIBUTION_H_ |