Export of internal Abseil changes.

--
ed3a3431eee9e48e6553b0320e0308d2dde6725c by Derek Mauro <dmauro@google.com>:

Project import generated by Copybara.

PiperOrigin-RevId: 258631680
GitOrigin-RevId: ed3a3431eee9e48e6553b0320e0308d2dde6725c
Change-Id: I1d7ae86a79783842092d29504605ba039c369603
This commit is contained in:
Abseil Team 2019-07-17 16:35:47 -04:00 committed by Derek Mauro
parent 44efe96dfc
commit c6c3c1b498
32 changed files with 1168 additions and 657 deletions

View file

@ -22,11 +22,18 @@
namespace absl {
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 constexpr_range() {
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())
@ -34,6 +41,42 @@ constexpr typename URBG::result_type constexpr_range() {
: (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:
@ -45,14 +88,6 @@ constexpr typename URBG::result_type constexpr_range() {
// generator that will outlive the std::independent_bits_engine instance.
template <typename UIntType = uint64_t>
class FastUniformBits {
static_assert(std::is_unsigned<UIntType>::value,
"Class-template FastUniformBits<> must be parameterized using "
"an unsigned type.");
// `kWidth` is the width, in binary digits, of the output. By default it is
// the number of binary digits in the `result_type`.
static constexpr size_t kWidth = std::numeric_limits<UIntType>::digits;
public:
using result_type = UIntType;
@ -65,14 +100,47 @@ class FastUniformBits {
result_type operator()(URBG& g); // NOLINT(runtime/references)
private:
// Variate() generates a single random variate, always returning a value
// in the closed interval [0 ... FastUniformBitsURBGConstants::kRangeMask]
// (kRangeMask+1 is a power of 2).
template <typename URBG>
typename URBG::result_type Variate(URBG& g); // NOLINT(runtime/references)
static_assert(std::is_unsigned<UIntType>::value,
"Class-template FastUniformBits<> must be parameterized using "
"an unsigned type.");
// generate() generates a random value, dispatched on whether
// the underlying URNG must loop over multiple calls or not.
// 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 */);
@ -82,196 +150,107 @@ class FastUniformBits {
std::false_type /* avoid_looping */);
};
// FastUniformBitsURBGConstants computes the URBG-derived constants used
// by FastUniformBits::Generate and FastUniformBits::Variate.
// Parameterized by the FastUniformBits parameter:
// `URBG`: The underlying UniformRandomNumberGenerator.
//
// The values here indicate the URBG range as well as providing an indicator
// whether the URBG output is a power of 2, and kRangeMask, which allows masking
// the generated output to kRangeBits.
template <typename UIntType>
template <typename URBG>
class FastUniformBitsURBGConstants {
// Computes the floor of the log. (i.e., std::floor(std::log2(N));
static constexpr size_t constexpr_log2(size_t n) {
return (n <= 1) ? 0 : 1 + constexpr_log2(n / 2);
}
// Computes a mask of n bits for the URBG::result_type.
static constexpr typename URBG::result_type constexpr_mask(size_t n) {
return (typename URBG::result_type(1) << n) - 1;
}
public:
using result_type = typename URBG::result_type;
// The range of the URNG, max - min + 1, or zero if that result would cause
// overflow.
static constexpr result_type kRange = constexpr_range<URBG>();
static constexpr bool kPowerOfTwo =
(kRange == 0) || ((kRange & (kRange - 1)) == 0);
// kRangeBits describes the number number of bits suitable to mask off of URNG
// variate, which is:
// kRangeBits = floor(log2(kRange))
static constexpr size_t kRangeBits =
kRange == 0 ? std::numeric_limits<result_type>::digits
: constexpr_log2(kRange);
// kRangeMask is the mask used when sampling variates from the URNG when the
// width of the URNG range is not a power of 2.
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 constexpr result_type kRangeMask =
kRange == 0 ? (std::numeric_limits<result_type>::max)()
: constexpr_mask(kRangeBits);
static_assert((URBG::max)() != (URBG::min)(),
"Class-template FastUniformBitsURBGConstants<> "
static_assert((URBG::max)() > (URBG::min)(),
"URBG::max and URBG::min may not be equal.");
static_assert(std::is_unsigned<result_type>::value,
"Class-template FastUniformBitsURBGConstants<> "
"URBG::result_type must be unsigned.");
static_assert(kRangeMask > 0,
"Class-template FastUniformBitsURBGConstants<> "
"URBG does not generate sufficient random bits.");
static_assert(kRange == 0 ||
kRangeBits < std::numeric_limits<result_type>::digits,
"Class-template FastUniformBitsURBGConstants<> "
"URBG range computation error.");
};
// FastUniformBitsLoopingConstants computes the looping constants used
// by FastUniformBits::Generate. These constants indicate how multiple
// URBG::result_type values are combined into an output_value.
// Parameterized by the FastUniformBits parameters:
// `UIntType`: output type.
// `URNG`: The underlying UniformRandomNumberGenerator.
//
// The looping constants describe the sets of loop counters and mask values
// which control how individual variates are combined the final output. The
// algorithm ensures that the number of bits used by any individual call differs
// by at-most one bit from any other call. This is simplified into constants
// which describe two loops, with the second loop parameters providing one extra
// bit per variate.
//
// See [rand.adapt.ibits] for more details on the use of these constants.
template <typename UIntType, typename URBG>
class FastUniformBitsLoopingConstants {
private:
static constexpr size_t kWidth = std::numeric_limits<UIntType>::digits;
using urbg_result_type = typename URBG::result_type;
using uint_result_type = UIntType;
public:
using result_type =
typename std::conditional<(sizeof(urbg_result_type) <=
sizeof(uint_result_type)),
uint_result_type, urbg_result_type>::type;
private:
// Estimate N as ceil(width / urng width), and W0 as (width / N).
static constexpr size_t kRangeBits =
FastUniformBitsURBGConstants<URBG>::kRangeBits;
// The range of the URNG, max - min + 1, or zero if that result would cause
// overflow.
static constexpr result_type kRange = constexpr_range<URBG>();
static constexpr size_t kEstimateN =
kWidth / kRangeBits + (kWidth % kRangeBits != 0);
static constexpr size_t kEstimateW0 = kWidth / kEstimateN;
static constexpr result_type kEstimateY0 = (kRange >> kEstimateW0)
<< kEstimateW0;
public:
// Parameters for the two loops:
// kN0, kN1 are the number of underlying calls required for each loop.
// KW0, kW1 are shift widths for each loop.
//
static constexpr size_t kN1 = (kRange - kEstimateY0) >
(kEstimateY0 / kEstimateN)
? kEstimateN + 1
: kEstimateN;
static constexpr size_t kN0 = kN1 - (kWidth % kN1);
static constexpr size_t kW0 = kWidth / kN1;
static constexpr size_t kW1 = kW0 + 1;
static constexpr result_type kM0 = (result_type(1) << kW0) - 1;
static constexpr result_type kM1 = (result_type(1) << kW1) - 1;
static_assert(
kW0 <= kRangeBits,
"Class-template FastUniformBitsLoopingConstants::kW0 too large.");
static_assert(
kW0 > 0,
"Class-template FastUniformBitsLoopingConstants::kW0 too small.");
};
template <typename UIntType>
template <typename URBG>
typename FastUniformBits<UIntType>::result_type
FastUniformBits<UIntType>::operator()(
URBG& g) { // NOLINT(runtime/references)
using constants = FastUniformBitsURBGConstants<URBG>;
return Generate(
g, std::integral_constant<bool, constants::kRangeMask >= (max)()>{});
}
template <typename UIntType>
template <typename URBG>
typename URBG::result_type FastUniformBits<UIntType>::Variate(
URBG& g) { // NOLINT(runtime/references)
using constants = FastUniformBitsURBGConstants<URBG>;
if (constants::kPowerOfTwo) {
return g() - (URBG::min)();
}
// Use rejection sampling to ensure uniformity across the range.
typename URBG::result_type u;
do {
u = g() - (URBG::min)();
} while (u > constants::kRangeMask);
return u;
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 */) {
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 URNG. Thus, generate a single value and then simply mask off
// provided by URBG. Thus, generate a single value and then simply mask off
// the required bits.
return Variate(g) & (max)();
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 */) {
// The width of the result_type is wider than the number of random bits
// provided by URNG. Thus we merge several variates of URNG into the result
// using a shift and mask. The constants type generates the parameters used
// ensure that the bits are distributed across all the invocations of the
// underlying URNG.
using constants = FastUniformBitsLoopingConstants<UIntType, URBG>;
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;
for (size_t n = 0; n < constants::kN0; ++n) {
auto u = Variate(g);
s = (s << constants::kW0) + (u & constants::kM0);
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);
}
for (size_t n = constants::kN0; n < constants::kN1; ++n) {
auto u = Variate(g);
s = (s << constants::kW1) + (u & constants::kM1);
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;
}

View file

@ -18,6 +18,8 @@
#include "gtest/gtest.h"
namespace absl {
namespace random_internal {
namespace {
template <typename IntType>
@ -29,7 +31,7 @@ TYPED_TEST_SUITE(FastUniformBitsTypedTest, IntTypes);
TYPED_TEST(FastUniformBitsTypedTest, BasicTest) {
using Limits = std::numeric_limits<TypeParam>;
using FastBits = absl::random_internal::FastUniformBits<TypeParam>;
using FastBits = FastUniformBits<TypeParam>;
EXPECT_EQ(0, FastBits::min());
EXPECT_EQ(Limits::max(), FastBits::max());
@ -45,91 +47,226 @@ TYPED_TEST(FastUniformBitsTypedTest, BasicTest) {
}
}
class UrngOddbits {
public:
using result_type = uint8_t;
static constexpr result_type min() { return 1; }
static constexpr result_type max() { return 0xfe; }
result_type operator()() { return 2; }
template <typename UIntType, UIntType Lo, UIntType Hi, UIntType Val = Lo>
struct FakeUrbg {
using result_type = UIntType;
static constexpr result_type(max)() { return Hi; }
static constexpr result_type(min)() { return Lo; }
result_type operator()() { return Val; }
};
class Urng4bits {
public:
using result_type = uint8_t;
static constexpr result_type min() { return 1; }
static constexpr result_type max() { return 0xf + 1; }
result_type operator()() { return 2; }
};
using UrngOddbits = FakeUrbg<uint8_t, 1, 0xfe, 0x73>;
using Urng4bits = FakeUrbg<uint8_t, 1, 0x10, 2>;
using Urng31bits = FakeUrbg<uint32_t, 1, 0xfffffffe, 0x60070f03>;
using Urng32bits = FakeUrbg<uint32_t, 0, 0xffffffff, 0x74010f01>;
class Urng32bits {
public:
using result_type = uint32_t;
static constexpr result_type min() { return 0; }
static constexpr result_type max() { return 0xffffffff; }
result_type operator()() { return 1; }
};
TEST(FastUniformBitsTest, IsPowerOfTwoOrZero) {
EXPECT_TRUE(IsPowerOfTwoOrZero(uint8_t{0}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint8_t{1}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint8_t{2}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint8_t{3}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint8_t{16}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint8_t{17}));
EXPECT_FALSE(IsPowerOfTwoOrZero((std::numeric_limits<uint8_t>::max)()));
// Compile-time test to validate the helper classes used by FastUniformBits
TEST(FastUniformBitsTest, FastUniformBitsDetails) {
using absl::random_internal::FastUniformBitsLoopingConstants;
using absl::random_internal::FastUniformBitsURBGConstants;
EXPECT_TRUE(IsPowerOfTwoOrZero(uint16_t{0}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint16_t{1}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint16_t{2}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint16_t{3}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint16_t{16}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint16_t{17}));
EXPECT_FALSE(IsPowerOfTwoOrZero((std::numeric_limits<uint16_t>::max)()));
// 4-bit URBG
{
using constants = FastUniformBitsURBGConstants<Urng4bits>;
static_assert(constants::kPowerOfTwo == true,
"constants::kPowerOfTwo == false");
static_assert(constants::kRange == 16, "constants::kRange == false");
static_assert(constants::kRangeBits == 4, "constants::kRangeBits == false");
static_assert(constants::kRangeMask == 0x0f,
"constants::kRangeMask == false");
}
EXPECT_TRUE(IsPowerOfTwoOrZero(uint32_t{0}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint32_t{1}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint32_t{2}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint32_t{3}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint32_t{32}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint32_t{17}));
EXPECT_FALSE(IsPowerOfTwoOrZero((std::numeric_limits<uint32_t>::max)()));
// ~7-bit URBG
{
using constants = FastUniformBitsURBGConstants<UrngOddbits>;
static_assert(constants::kPowerOfTwo == false,
"constants::kPowerOfTwo == false");
static_assert(constants::kRange == 0xfe, "constants::kRange == 0xfe");
static_assert(constants::kRangeBits == 7, "constants::kRangeBits == 7");
static_assert(constants::kRangeMask == 0x7f,
"constants::kRangeMask == 0x7f");
}
EXPECT_TRUE(IsPowerOfTwoOrZero(uint64_t{0}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint64_t{1}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint64_t{2}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint64_t{3}));
EXPECT_TRUE(IsPowerOfTwoOrZero(uint64_t{64}));
EXPECT_FALSE(IsPowerOfTwoOrZero(uint64_t{17}));
EXPECT_FALSE(IsPowerOfTwoOrZero((std::numeric_limits<uint64_t>::max)()));
}
TEST(FastUniformBitsTest, IntegerLog2) {
EXPECT_EQ(IntegerLog2(uint16_t{0}), 0);
EXPECT_EQ(IntegerLog2(uint16_t{1}), 0);
EXPECT_EQ(IntegerLog2(uint16_t{2}), 1);
EXPECT_EQ(IntegerLog2(uint16_t{3}), 1);
EXPECT_EQ(IntegerLog2(uint16_t{4}), 2);
EXPECT_EQ(IntegerLog2(uint16_t{5}), 2);
EXPECT_EQ(IntegerLog2(std::numeric_limits<uint64_t>::max()), 63);
}
TEST(FastUniformBitsTest, RangeSize) {
EXPECT_EQ((RangeSize<FakeUrbg<uint8_t, 0, 3>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint8_t, 2, 2>>()), 1);
EXPECT_EQ((RangeSize<FakeUrbg<uint8_t, 2, 5>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint8_t, 2, 6>>()), 5);
EXPECT_EQ((RangeSize<FakeUrbg<uint8_t, 2, 10>>()), 9);
EXPECT_EQ(
(RangeSize<FakeUrbg<uint8_t, 0, std::numeric_limits<uint8_t>::max()>>()),
0);
EXPECT_EQ((RangeSize<FakeUrbg<uint16_t, 0, 3>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint16_t, 2, 2>>()), 1);
EXPECT_EQ((RangeSize<FakeUrbg<uint16_t, 2, 5>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint16_t, 2, 6>>()), 5);
EXPECT_EQ((RangeSize<FakeUrbg<uint16_t, 1000, 1017>>()), 18);
EXPECT_EQ((RangeSize<
FakeUrbg<uint16_t, 0, std::numeric_limits<uint16_t>::max()>>()),
0);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 0, 3>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 2, 2>>()), 1);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 2, 5>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 2, 6>>()), 5);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 1000, 1017>>()), 18);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 0, 0xffffffff>>()), 0);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 1, 0xffffffff>>()), 0xffffffff);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 1, 0xfffffffe>>()), 0xfffffffe);
EXPECT_EQ((RangeSize<FakeUrbg<uint32_t, 2, 0xfffffffe>>()), 0xfffffffd);
EXPECT_EQ((RangeSize<
FakeUrbg<uint32_t, 0, std::numeric_limits<uint32_t>::max()>>()),
0);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 0, 3>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 2, 2>>()), 1);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 2, 5>>()), 4);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 2, 6>>()), 5);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 1000, 1017>>()), 18);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 0, 0xffffffff>>()), 0x100000000ull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 1, 0xffffffff>>()), 0xffffffffull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 1, 0xfffffffe>>()), 0xfffffffeull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 2, 0xfffffffe>>()), 0xfffffffdull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 0, 0xffffffffffffffffull>>()), 0ull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 1, 0xffffffffffffffffull>>()),
0xffffffffffffffffull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 1, 0xfffffffffffffffeull>>()),
0xfffffffffffffffeull);
EXPECT_EQ((RangeSize<FakeUrbg<uint64_t, 2, 0xfffffffffffffffeull>>()),
0xfffffffffffffffdull);
EXPECT_EQ((RangeSize<
FakeUrbg<uint64_t, 0, std::numeric_limits<uint64_t>::max()>>()),
0);
}
TEST(FastUniformBitsTest, PowerOfTwoSubRangeSize) {
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint8_t, 0, 3>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint8_t, 2, 2>>()), 1);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint8_t, 2, 5>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint8_t, 2, 6>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint8_t, 2, 10>>()), 8);
EXPECT_EQ((PowerOfTwoSubRangeSize<
FakeUrbg<uint8_t, 0, std::numeric_limits<uint8_t>::max()>>()),
0);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint16_t, 0, 3>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint16_t, 2, 2>>()), 1);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint16_t, 2, 5>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint16_t, 2, 6>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint16_t, 1000, 1017>>()), 16);
EXPECT_EQ((PowerOfTwoSubRangeSize<
FakeUrbg<uint16_t, 0, std::numeric_limits<uint16_t>::max()>>()),
0);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 0, 3>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 2, 2>>()), 1);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 2, 5>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 2, 6>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 1000, 1017>>()), 16);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 0, 0xffffffff>>()), 0);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 1, 0xffffffff>>()),
0x80000000);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint32_t, 1, 0xfffffffe>>()),
0x80000000);
EXPECT_EQ((PowerOfTwoSubRangeSize<
FakeUrbg<uint32_t, 0, std::numeric_limits<uint32_t>::max()>>()),
0);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 0, 3>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 2, 2>>()), 1);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 2, 5>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 2, 6>>()), 4);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 1000, 1017>>()), 16);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 0, 0xffffffff>>()),
0x100000000ull);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 1, 0xffffffff>>()),
0x80000000ull);
EXPECT_EQ((PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 1, 0xfffffffe>>()),
0x80000000ull);
EXPECT_EQ(
(PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 0, 0xffffffffffffffffull>>()),
0);
EXPECT_EQ(
(PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 1, 0xffffffffffffffffull>>()),
0x8000000000000000ull);
EXPECT_EQ(
(PowerOfTwoSubRangeSize<FakeUrbg<uint64_t, 1, 0xfffffffffffffffeull>>()),
0x8000000000000000ull);
EXPECT_EQ((PowerOfTwoSubRangeSize<
FakeUrbg<uint64_t, 0, std::numeric_limits<uint64_t>::max()>>()),
0);
}
TEST(FastUniformBitsTest, Urng4_VariousOutputs) {
// Tests that how values are composed; the single-bit deltas should be spread
// across each invocation.
Urng4bits urng4;
Urng31bits urng31;
Urng32bits urng32;
// 8-bit types
{
absl::random_internal::FastUniformBits<uint8_t> fast8;
FastUniformBits<uint8_t> fast8;
EXPECT_EQ(0x11, fast8(urng4));
EXPECT_EQ(0x2, fast8(urng31));
EXPECT_EQ(0x1, fast8(urng32));
}
// 16-bit types
{
absl::random_internal::FastUniformBits<uint16_t> fast16;
FastUniformBits<uint16_t> fast16;
EXPECT_EQ(0x1111, fast16(urng4));
EXPECT_EQ(0x1, fast16(urng32));
EXPECT_EQ(0xf02, fast16(urng31));
EXPECT_EQ(0xf01, fast16(urng32));
}
// 32-bit types
{
absl::random_internal::FastUniformBits<uint32_t> fast32;
FastUniformBits<uint32_t> fast32;
EXPECT_EQ(0x11111111, fast32(urng4));
EXPECT_EQ(0x1, fast32(urng32));
EXPECT_EQ(0x0f020f02, fast32(urng31));
EXPECT_EQ(0x74010f01, fast32(urng32));
}
// 64-bit types
{
absl::random_internal::FastUniformBits<uint64_t> fast64;
FastUniformBits<uint64_t> fast64;
EXPECT_EQ(0x1111111111111111, fast64(urng4));
EXPECT_EQ(0x0000000100000001, fast64(urng32));
EXPECT_EQ(0x387811c3c0870f02, fast64(urng31));
EXPECT_EQ(0x74010f0174010f01, fast64(urng32));
}
}
TEST(FastUniformBitsTest, URBG32bitRegression) {
// Validate with deterministic 32-bit std::minstd_rand
// to ensure that operator() performs as expected.
std::minstd_rand gen(1);
FastUniformBits<uint64_t> fast64;
EXPECT_EQ(0x05e47095f847c122ull, fast64(gen));
EXPECT_EQ(0x8f82c1ba30b64d22ull, fast64(gen));
EXPECT_EQ(0x3b971a3558155039ull, fast64(gen));
}
} // namespace
} // namespace random_internal
} // namespace absl