Creation of LTS branch "lts_2019_08_08"20190808

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GitOrigin-RevId: 9ee91d3e430fb33a4590486573792eb0fa146c2d
Change-Id: Ia06e548bc106cc9d136f6c65714be6645317aced

1 files changed, 262 insertions, 0 deletions

diff --git a/absl/random/internal/fast_uniform_bits.h b/absl/random/internal/fast_uniform_bits.h
new file mode 100644
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--- /dev/null
+++ b/absl/random/internal/fast_uniform_bits.h
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+// 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_INTERNAL_FAST_UNIFORM_BITS_H_
+#define ABSL_RANDOM_INTERNAL_FAST_UNIFORM_BITS_H_
+
+#include <cstddef>
+#include <cstdint>
+#include <limits>
+#include <type_traits>
+
+namespace absl {
+inline namespace lts_2019_08_08 {
+namespace random_internal {
+// Returns true if the input value is zero or a power of two. Useful for
+// determining if the range of output values in a URBG
+template <typename UIntType>
+constexpr bool IsPowerOfTwoOrZero(UIntType n) {
+  return (n == 0) || ((n & (n - 1)) == 0);
+}
+
+// Computes the length of the range of values producible by the URBG, or returns
+// zero if that would encompass the entire range of representable values in
+// URBG::result_type.
+template <typename URBG>
+constexpr typename URBG::result_type RangeSize() {
+  using result_type = typename URBG::result_type;
+  return ((URBG::max)() == (std::numeric_limits<result_type>::max)() &&
+          (URBG::min)() == std::numeric_limits<result_type>::lowest())
+             ? result_type{0}
+             : (URBG::max)() - (URBG::min)() + result_type{1};
+}
+
+template <typename UIntType>
+constexpr UIntType LargestPowerOfTwoLessThanOrEqualTo(UIntType n) {
+  return n < 2 ? n : 2 * LargestPowerOfTwoLessThanOrEqualTo(n / 2);
+}
+
+// Given a URBG generating values in the closed interval [Lo, Hi], returns the
+// largest power of two less than or equal to `Hi - Lo + 1`.
+template <typename URBG>
+constexpr typename URBG::result_type PowerOfTwoSubRangeSize() {
+  return LargestPowerOfTwoLessThanOrEqualTo(RangeSize<URBG>());
+}
+
+// Computes the floor of the log. (i.e., std::floor(std::log2(N));
+template <typename UIntType>
+constexpr UIntType IntegerLog2(UIntType n) {
+  return (n <= 1) ? 0 : 1 + IntegerLog2(n / 2);
+}
+
+// Returns the number of bits of randomness returned through
+// `PowerOfTwoVariate(urbg)`.
+template <typename URBG>
+constexpr size_t NumBits() {
+  return RangeSize<URBG>() == 0
+             ? std::numeric_limits<typename URBG::result_type>::digits
+             : IntegerLog2(PowerOfTwoSubRangeSize<URBG>());
+}
+
+// Given a shift value `n`, constructs a mask with exactly the low `n` bits set.
+// If `n == 0`, all bits are set.
+template <typename UIntType>
+constexpr UIntType MaskFromShift(UIntType n) {
+  return ((n % std::numeric_limits<UIntType>::digits) == 0)
+             ? ~UIntType{0}
+             : (UIntType{1} << n) - UIntType{1};
+}
+
+// FastUniformBits implements a fast path to acquire uniform independent bits
+// from a type which conforms to the [rand.req.urbg] concept.
+// Parameterized by:
+//  `UIntType`: the result (output) type
+//
+// The std::independent_bits_engine [rand.adapt.ibits] adaptor can be
+// instantiated from an existing generator through a copy or a move. It does
+// not, however, facilitate the production of pseudorandom bits from an un-owned
+// generator that will outlive the std::independent_bits_engine instance.
+template <typename UIntType = uint64_t>
+class FastUniformBits {
+ public:
+  using result_type = UIntType;
+
+  static constexpr result_type(min)() { return 0; }
+  static constexpr result_type(max)() {
+    return (std::numeric_limits<result_type>::max)();
+  }
+
+  template <typename URBG>
+  result_type operator()(URBG& g);  // NOLINT(runtime/references)
+
+ private:
+  static_assert(std::is_unsigned<UIntType>::value,
+                "Class-template FastUniformBits<> must be parameterized using "
+                "an unsigned type.");
+
+  // PowerOfTwoVariate() generates a single random variate, always returning a
+  // value in the half-open interval `[0, PowerOfTwoSubRangeSize<URBG>())`. If
+  // the URBG already generates values in a power-of-two range, the generator
+  // itself is used. Otherwise, we use rejection sampling on the largest
+  // possible power-of-two-sized subrange.
+  struct PowerOfTwoTag {};
+  struct RejectionSamplingTag {};
+  template <typename URBG>
+  static typename URBG::result_type PowerOfTwoVariate(
+      URBG& g) {  // NOLINT(runtime/references)
+    using tag =
+        typename std::conditional<IsPowerOfTwoOrZero(RangeSize<URBG>()),
+                                  PowerOfTwoTag, RejectionSamplingTag>::type;
+    return PowerOfTwoVariate(g, tag{});
+  }
+
+  template <typename URBG>
+  static typename URBG::result_type PowerOfTwoVariate(
+      URBG& g,  // NOLINT(runtime/references)
+      PowerOfTwoTag) {
+    return g() - (URBG::min)();
+  }
+
+  template <typename URBG>
+  static typename URBG::result_type PowerOfTwoVariate(
+      URBG& g,  // NOLINT(runtime/references)
+      RejectionSamplingTag) {
+    // Use rejection sampling to ensure uniformity across the range.
+    typename URBG::result_type u;
+    do {
+      u = g() - (URBG::min)();
+    } while (u >= PowerOfTwoSubRangeSize<URBG>());
+    return u;
+  }
+
+  // Generate() generates a random value, dispatched on whether
+  // the underlying URBG must loop over multiple calls or not.
+  template <typename URBG>
+  result_type Generate(URBG& g,  // NOLINT(runtime/references)
+                       std::true_type /* avoid_looping */);
+
+  template <typename URBG>
+  result_type Generate(URBG& g,  // NOLINT(runtime/references)
+                       std::false_type /* avoid_looping */);
+};
+
+template <typename UIntType>
+template <typename URBG>
+typename FastUniformBits<UIntType>::result_type
+FastUniformBits<UIntType>::operator()(URBG& g) {  // NOLINT(runtime/references)
+  // kRangeMask is the mask used when sampling variates from the URBG when the
+  // width of the URBG range is not a power of 2.
+  // Y = (2 ^ kRange) - 1
+  static_assert((URBG::max)() > (URBG::min)(),
+                "URBG::max and URBG::min may not be equal.");
+  using urbg_result_type = typename URBG::result_type;
+  constexpr urbg_result_type kRangeMask =
+      RangeSize<URBG>() == 0
+          ? (std::numeric_limits<urbg_result_type>::max)()
+          : static_cast<urbg_result_type>(PowerOfTwoSubRangeSize<URBG>() - 1);
+  return Generate(g, std::integral_constant<bool, (kRangeMask >= (max)())>{});
+}
+
+template <typename UIntType>
+template <typename URBG>
+typename FastUniformBits<UIntType>::result_type
+FastUniformBits<UIntType>::Generate(URBG& g,  // NOLINT(runtime/references)
+                                    std::true_type /* avoid_looping */) {
+  // The width of the result_type is less than than the width of the random bits
+  // provided by URBG.  Thus, generate a single value and then simply mask off
+  // the required bits.
+
+  return PowerOfTwoVariate(g) & (max)();
+}
+
+template <typename UIntType>
+template <typename URBG>
+typename FastUniformBits<UIntType>::result_type
+FastUniformBits<UIntType>::Generate(URBG& g,  // NOLINT(runtime/references)
+                                    std::false_type /* avoid_looping */) {
+  // See [rand.adapt.ibits] for more details on the constants calculated below.
+  //
+  // It is preferable to use roughly the same number of bits from each generator
+  // call, however this is only possible when the number of bits provided by the
+  // URBG is a divisor of the number of bits in `result_type`. In all other
+  // cases, the number of bits used cannot always be the same, but it can be
+  // guaranteed to be off by at most 1. Thus we run two loops, one with a
+  // smaller bit-width size (`kSmallWidth`) and one with a larger width size
+  // (satisfying `kLargeWidth == kSmallWidth + 1`). The loops are run
+  // `kSmallIters` and `kLargeIters` times respectively such
+  // that
+  //
+  //    `kTotalWidth == kSmallIters * kSmallWidth
+  //                    + kLargeIters * kLargeWidth`
+  //
+  // where `kTotalWidth` is the total number of bits in `result_type`.
+  //
+  constexpr size_t kTotalWidth = std::numeric_limits<result_type>::digits;
+  constexpr size_t kUrbgWidth = NumBits<URBG>();
+  constexpr size_t kTotalIters =
+      kTotalWidth / kUrbgWidth + (kTotalWidth % kUrbgWidth != 0);
+  constexpr size_t kSmallWidth = kTotalWidth / kTotalIters;
+  constexpr size_t kLargeWidth = kSmallWidth + 1;
+  //
+  // Because `kLargeWidth == kSmallWidth + 1`, it follows that
+  //
+  //     `kTotalWidth == kTotalIters * kSmallWidth + kLargeIters`
+  //
+  // and therefore
+  //
+  //     `kLargeIters == kTotalWidth % kSmallWidth`
+  //
+  // Intuitively, each iteration with the large width accounts for one unit
+  // of the remainder when `kTotalWidth` is divided by `kSmallWidth`. As
+  // mentioned above, if the URBG width is a divisor of `kTotalWidth`, then
+  // there would be no need for any large iterations (i.e., one loop would
+  // suffice), and indeed, in this case, `kLargeIters` would be zero.
+  constexpr size_t kLargeIters = kTotalWidth % kSmallWidth;
+  constexpr size_t kSmallIters =
+      (kTotalWidth - (kLargeWidth * kLargeIters)) / kSmallWidth;
+
+  static_assert(
+      kTotalWidth == kSmallIters * kSmallWidth + kLargeIters * kLargeWidth,
+      "Error in looping constant calculations.");
+
+  result_type s = 0;
+
+  constexpr size_t kSmallShift = kSmallWidth % kTotalWidth;
+  constexpr result_type kSmallMask = MaskFromShift(result_type{kSmallShift});
+  for (size_t n = 0; n < kSmallIters; ++n) {
+    s = (s << kSmallShift) +
+        (static_cast<result_type>(PowerOfTwoVariate(g)) & kSmallMask);
+  }
+
+  constexpr size_t kLargeShift = kLargeWidth % kTotalWidth;
+  constexpr result_type kLargeMask = MaskFromShift(result_type{kLargeShift});
+  for (size_t n = 0; n < kLargeIters; ++n) {
+    s = (s << kLargeShift) +
+        (static_cast<result_type>(PowerOfTwoVariate(g)) & kLargeMask);
+  }
+
+  static_assert(
+      kLargeShift == kSmallShift + 1 ||
+          (kLargeShift == 0 &&
+           kSmallShift == std::numeric_limits<result_type>::digits - 1),
+      "Error in looping constant calculations");
+
+  return s;
+}
+
+}  // namespace random_internal
+}  // inline namespace lts_2019_08_08
+}  // namespace absl
+
+#endif  // ABSL_RANDOM_INTERNAL_FAST_UNIFORM_BITS_H_