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authorGravatar Abseil Team <absl-team@google.com>2020-02-25 22:27:31 +0100
committerGravatar CJ Johnson <johnsoncj@google.com>2020-02-25 17:56:58 -0500
commitb832dce8489ef7b6231384909fd9b68d5a5ff2b7 (patch)
tree3ad4be9a9a4105366be714da9458e076a77be18f /absl/random/internal/distribution_impl_test.cc
parentaa844899c937bde5d2b24f276b59997e5b668bde (diff)
Creation of LTS branch "lts_2020_02_25"20200225
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Diffstat (limited to 'absl/random/internal/distribution_impl_test.cc')
-rw-r--r--absl/random/internal/distribution_impl_test.cc506
1 files changed, 0 insertions, 506 deletions
diff --git a/absl/random/internal/distribution_impl_test.cc b/absl/random/internal/distribution_impl_test.cc
deleted file mode 100644
index 09e7a318..00000000
--- a/absl/random/internal/distribution_impl_test.cc
+++ /dev/null
@@ -1,506 +0,0 @@
-// 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.
-
-#include "absl/random/internal/distribution_impl.h"
-
-#include "gtest/gtest.h"
-#include "absl/base/internal/bits.h"
-#include "absl/flags/flag.h"
-#include "absl/numeric/int128.h"
-
-ABSL_FLAG(int64_t, absl_random_test_trials, 50000,
- "Number of trials for the probability tests.");
-
-using absl::random_internal::NegativeValueT;
-using absl::random_internal::PositiveValueT;
-using absl::random_internal::RandU64ToDouble;
-using absl::random_internal::RandU64ToFloat;
-using absl::random_internal::SignedValueT;
-
-namespace {
-
-TEST(DistributionImplTest, U64ToFloat_Positive_NoZero_Test) {
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<PositiveValueT, false>(a);
- };
- EXPECT_EQ(ToFloat(0x0000000000000000), 2.710505431e-20f);
- EXPECT_EQ(ToFloat(0x0000000000000001), 5.421010862e-20f);
- EXPECT_EQ(ToFloat(0x8000000000000000), 0.5);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), 0.9999999404f);
-}
-
-TEST(DistributionImplTest, U64ToFloat_Positive_Zero_Test) {
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<PositiveValueT, true>(a);
- };
- EXPECT_EQ(ToFloat(0x0000000000000000), 0.0);
- EXPECT_EQ(ToFloat(0x0000000000000001), 5.421010862e-20f);
- EXPECT_EQ(ToFloat(0x8000000000000000), 0.5);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), 0.9999999404f);
-}
-
-TEST(DistributionImplTest, U64ToFloat_Negative_NoZero_Test) {
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<NegativeValueT, false>(a);
- };
- EXPECT_EQ(ToFloat(0x0000000000000000), -2.710505431e-20f);
- EXPECT_EQ(ToFloat(0x0000000000000001), -5.421010862e-20f);
- EXPECT_EQ(ToFloat(0x8000000000000000), -0.5);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), -0.9999999404f);
-}
-
-TEST(DistributionImplTest, U64ToFloat_Signed_NoZero_Test) {
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<SignedValueT, false>(a);
- };
- EXPECT_EQ(ToFloat(0x0000000000000000), 5.421010862e-20f);
- EXPECT_EQ(ToFloat(0x0000000000000001), 1.084202172e-19f);
- EXPECT_EQ(ToFloat(0x7FFFFFFFFFFFFFFF), 0.9999999404f);
- EXPECT_EQ(ToFloat(0x8000000000000000), -5.421010862e-20f);
- EXPECT_EQ(ToFloat(0x8000000000000001), -1.084202172e-19f);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), -0.9999999404f);
-}
-
-TEST(DistributionImplTest, U64ToFloat_Signed_Zero_Test) {
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<SignedValueT, true>(a);
- };
- EXPECT_EQ(ToFloat(0x0000000000000000), 0);
- EXPECT_EQ(ToFloat(0x0000000000000001), 1.084202172e-19f);
- EXPECT_EQ(ToFloat(0x7FFFFFFFFFFFFFFF), 0.9999999404f);
- EXPECT_EQ(ToFloat(0x8000000000000000), 0);
- EXPECT_EQ(ToFloat(0x8000000000000001), -1.084202172e-19f);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), -0.9999999404f);
-}
-
-TEST(DistributionImplTest, U64ToFloat_Signed_Bias_Test) {
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<SignedValueT, true, 1>(a);
- };
- EXPECT_EQ(ToFloat(0x0000000000000000), 0);
- EXPECT_EQ(ToFloat(0x0000000000000001), 2 * 1.084202172e-19f);
- EXPECT_EQ(ToFloat(0x7FFFFFFFFFFFFFFF), 2 * 0.9999999404f);
- EXPECT_EQ(ToFloat(0x8000000000000000), 0);
- EXPECT_EQ(ToFloat(0x8000000000000001), 2 * -1.084202172e-19f);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), 2 * -0.9999999404f);
-}
-
-TEST(DistributionImplTest, U64ToFloatTest) {
- auto ToFloat = [](uint64_t a) -> float {
- return RandU64ToFloat<PositiveValueT, true>(a);
- };
-
- EXPECT_EQ(ToFloat(0x0000000000000000), 0.0f);
-
- EXPECT_EQ(ToFloat(0x8000000000000000), 0.5f);
- EXPECT_EQ(ToFloat(0x8000000000000001), 0.5f);
- EXPECT_EQ(ToFloat(0x800000FFFFFFFFFF), 0.5f);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), 0.9999999404f);
-
- EXPECT_GT(ToFloat(0x0000000000000001), 0.0f);
-
- EXPECT_NE(ToFloat(0x7FFFFF0000000000), ToFloat(0x7FFFFEFFFFFFFFFF));
-
- EXPECT_LT(ToFloat(0xFFFFFFFFFFFFFFFF), 1.0f);
- int32_t two_to_24 = 1 << 24;
- EXPECT_EQ(static_cast<int32_t>(ToFloat(0xFFFFFFFFFFFFFFFF) * two_to_24),
- two_to_24 - 1);
- EXPECT_NE(static_cast<int32_t>(ToFloat(0xFFFFFFFFFFFFFFFF) * two_to_24 * 2),
- two_to_24 * 2 - 1);
- EXPECT_EQ(ToFloat(0xFFFFFFFFFFFFFFFF), ToFloat(0xFFFFFF0000000000));
- EXPECT_NE(ToFloat(0xFFFFFFFFFFFFFFFF), ToFloat(0xFFFFFEFFFFFFFFFF));
- EXPECT_EQ(ToFloat(0x7FFFFFFFFFFFFFFF), ToFloat(0x7FFFFF8000000000));
- EXPECT_NE(ToFloat(0x7FFFFFFFFFFFFFFF), ToFloat(0x7FFFFF7FFFFFFFFF));
- EXPECT_EQ(ToFloat(0x3FFFFFFFFFFFFFFF), ToFloat(0x3FFFFFC000000000));
- EXPECT_NE(ToFloat(0x3FFFFFFFFFFFFFFF), ToFloat(0x3FFFFFBFFFFFFFFF));
-
- // For values where every bit counts, the values scale as multiples of the
- // input.
- for (int i = 0; i < 100; ++i) {
- EXPECT_EQ(i * ToFloat(0x0000000000000001), ToFloat(i));
- }
-
- // For each i: value generated from (1 << i).
- float exp_values[64];
- exp_values[63] = 0.5f;
- for (int i = 62; i >= 0; --i) exp_values[i] = 0.5f * exp_values[i + 1];
- constexpr uint64_t one = 1;
- for (int i = 0; i < 64; ++i) {
- EXPECT_EQ(ToFloat(one << i), exp_values[i]);
- for (int j = 1; j < FLT_MANT_DIG && i - j >= 0; ++j) {
- EXPECT_NE(exp_values[i] + exp_values[i - j], exp_values[i]);
- EXPECT_EQ(ToFloat((one << i) + (one << (i - j))),
- exp_values[i] + exp_values[i - j]);
- }
- for (int j = FLT_MANT_DIG; i - j >= 0; ++j) {
- EXPECT_EQ(exp_values[i] + exp_values[i - j], exp_values[i]);
- EXPECT_EQ(ToFloat((one << i) + (one << (i - j))), exp_values[i]);
- }
- }
-}
-
-TEST(DistributionImplTest, U64ToDouble_Positive_NoZero_Test) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<PositiveValueT, false>(a);
- };
-
- EXPECT_EQ(ToDouble(0x0000000000000000), 2.710505431213761085e-20);
- EXPECT_EQ(ToDouble(0x0000000000000001), 5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x0000000000000002), 1.084202172485504434e-19);
- EXPECT_EQ(ToDouble(0x8000000000000000), 0.5);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), 0.999999999999999888978);
-}
-
-TEST(DistributionImplTest, U64ToDouble_Positive_Zero_Test) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<PositiveValueT, true>(a);
- };
-
- EXPECT_EQ(ToDouble(0x0000000000000000), 0.0);
- EXPECT_EQ(ToDouble(0x0000000000000001), 5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x8000000000000000), 0.5);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), 0.999999999999999888978);
-}
-
-TEST(DistributionImplTest, U64ToDouble_Negative_NoZero_Test) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<NegativeValueT, false>(a);
- };
-
- EXPECT_EQ(ToDouble(0x0000000000000000), -2.710505431213761085e-20);
- EXPECT_EQ(ToDouble(0x0000000000000001), -5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x0000000000000002), -1.084202172485504434e-19);
- EXPECT_EQ(ToDouble(0x8000000000000000), -0.5);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), -0.999999999999999888978);
-}
-
-TEST(DistributionImplTest, U64ToDouble_Signed_NoZero_Test) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<SignedValueT, false>(a);
- };
-
- EXPECT_EQ(ToDouble(0x0000000000000000), 5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x0000000000000001), 1.084202172485504434e-19);
- EXPECT_EQ(ToDouble(0x7FFFFFFFFFFFFFFF), 0.999999999999999888978);
- EXPECT_EQ(ToDouble(0x8000000000000000), -5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x8000000000000001), -1.084202172485504434e-19);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), -0.999999999999999888978);
-}
-
-TEST(DistributionImplTest, U64ToDouble_Signed_Zero_Test) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<SignedValueT, true>(a);
- };
- EXPECT_EQ(ToDouble(0x0000000000000000), 0);
- EXPECT_EQ(ToDouble(0x0000000000000001), 1.084202172485504434e-19);
- EXPECT_EQ(ToDouble(0x7FFFFFFFFFFFFFFF), 0.999999999999999888978);
- EXPECT_EQ(ToDouble(0x8000000000000000), 0);
- EXPECT_EQ(ToDouble(0x8000000000000001), -1.084202172485504434e-19);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), -0.999999999999999888978);
-}
-
-TEST(DistributionImplTest, U64ToDouble_Signed_Bias_Test) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<SignedValueT, true, -1>(a);
- };
- EXPECT_EQ(ToDouble(0x0000000000000000), 0);
- EXPECT_EQ(ToDouble(0x0000000000000001), 1.084202172485504434e-19 / 2);
- EXPECT_EQ(ToDouble(0x7FFFFFFFFFFFFFFF), 0.999999999999999888978 / 2);
- EXPECT_EQ(ToDouble(0x8000000000000000), 0);
- EXPECT_EQ(ToDouble(0x8000000000000001), -1.084202172485504434e-19 / 2);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), -0.999999999999999888978 / 2);
-}
-
-TEST(DistributionImplTest, U64ToDoubleTest) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<PositiveValueT, true>(a);
- };
-
- EXPECT_EQ(ToDouble(0x0000000000000000), 0.0);
- EXPECT_EQ(ToDouble(0x0000000000000000), 0.0);
-
- EXPECT_EQ(ToDouble(0x0000000000000001), 5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x7fffffffffffffef), 0.499999999999999944489);
- EXPECT_EQ(ToDouble(0x8000000000000000), 0.5);
-
- // For values > 0.5, RandU64ToDouble discards up to 11 bits. (64-53).
- EXPECT_EQ(ToDouble(0x8000000000000001), 0.5);
- EXPECT_EQ(ToDouble(0x80000000000007FF), 0.5);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), 0.999999999999999888978);
- EXPECT_NE(ToDouble(0x7FFFFFFFFFFFF800), ToDouble(0x7FFFFFFFFFFFF7FF));
-
- EXPECT_LT(ToDouble(0xFFFFFFFFFFFFFFFF), 1.0);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFF), ToDouble(0xFFFFFFFFFFFFF800));
- EXPECT_NE(ToDouble(0xFFFFFFFFFFFFFFFF), ToDouble(0xFFFFFFFFFFFFF7FF));
- EXPECT_EQ(ToDouble(0x7FFFFFFFFFFFFFFF), ToDouble(0x7FFFFFFFFFFFFC00));
- EXPECT_NE(ToDouble(0x7FFFFFFFFFFFFFFF), ToDouble(0x7FFFFFFFFFFFFBFF));
- EXPECT_EQ(ToDouble(0x3FFFFFFFFFFFFFFF), ToDouble(0x3FFFFFFFFFFFFE00));
- EXPECT_NE(ToDouble(0x3FFFFFFFFFFFFFFF), ToDouble(0x3FFFFFFFFFFFFDFF));
-
- EXPECT_EQ(ToDouble(0x1000000000000001), 0.0625);
- EXPECT_EQ(ToDouble(0x2000000000000001), 0.125);
- EXPECT_EQ(ToDouble(0x3000000000000001), 0.1875);
- EXPECT_EQ(ToDouble(0x4000000000000001), 0.25);
- EXPECT_EQ(ToDouble(0x5000000000000001), 0.3125);
- EXPECT_EQ(ToDouble(0x6000000000000001), 0.375);
- EXPECT_EQ(ToDouble(0x7000000000000001), 0.4375);
- EXPECT_EQ(ToDouble(0x8000000000000001), 0.5);
- EXPECT_EQ(ToDouble(0x9000000000000001), 0.5625);
- EXPECT_EQ(ToDouble(0xa000000000000001), 0.625);
- EXPECT_EQ(ToDouble(0xb000000000000001), 0.6875);
- EXPECT_EQ(ToDouble(0xc000000000000001), 0.75);
- EXPECT_EQ(ToDouble(0xd000000000000001), 0.8125);
- EXPECT_EQ(ToDouble(0xe000000000000001), 0.875);
- EXPECT_EQ(ToDouble(0xf000000000000001), 0.9375);
-
- // Large powers of 2.
- int64_t two_to_53 = int64_t{1} << 53;
- EXPECT_EQ(static_cast<int64_t>(ToDouble(0xFFFFFFFFFFFFFFFF) * two_to_53),
- two_to_53 - 1);
- EXPECT_NE(static_cast<int64_t>(ToDouble(0xFFFFFFFFFFFFFFFF) * two_to_53 * 2),
- two_to_53 * 2 - 1);
-
- // For values where every bit counts, the values scale as multiples of the
- // input.
- for (int i = 0; i < 100; ++i) {
- EXPECT_EQ(i * ToDouble(0x0000000000000001), ToDouble(i));
- }
-
- // For each i: value generated from (1 << i).
- double exp_values[64];
- exp_values[63] = 0.5;
- for (int i = 62; i >= 0; --i) exp_values[i] = 0.5 * exp_values[i + 1];
- constexpr uint64_t one = 1;
- for (int i = 0; i < 64; ++i) {
- EXPECT_EQ(ToDouble(one << i), exp_values[i]);
- for (int j = 1; j < DBL_MANT_DIG && i - j >= 0; ++j) {
- EXPECT_NE(exp_values[i] + exp_values[i - j], exp_values[i]);
- EXPECT_EQ(ToDouble((one << i) + (one << (i - j))),
- exp_values[i] + exp_values[i - j]);
- }
- for (int j = DBL_MANT_DIG; i - j >= 0; ++j) {
- EXPECT_EQ(exp_values[i] + exp_values[i - j], exp_values[i]);
- EXPECT_EQ(ToDouble((one << i) + (one << (i - j))), exp_values[i]);
- }
- }
-}
-
-TEST(DistributionImplTest, U64ToDoubleSignedTest) {
- auto ToDouble = [](uint64_t a) {
- return RandU64ToDouble<SignedValueT, false>(a);
- };
-
- EXPECT_EQ(ToDouble(0x0000000000000000), 5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x0000000000000001), 1.084202172485504434e-19);
-
- EXPECT_EQ(ToDouble(0x8000000000000000), -5.42101086242752217004e-20);
- EXPECT_EQ(ToDouble(0x8000000000000001), -1.084202172485504434e-19);
-
- const double e_plus = ToDouble(0x0000000000000001);
- const double e_minus = ToDouble(0x8000000000000001);
- EXPECT_EQ(e_plus, 1.084202172485504434e-19);
- EXPECT_EQ(e_minus, -1.084202172485504434e-19);
-
- EXPECT_EQ(ToDouble(0x3fffffffffffffef), 0.499999999999999944489);
- EXPECT_EQ(ToDouble(0xbfffffffffffffef), -0.499999999999999944489);
-
- // For values > 0.5, RandU64ToDouble discards up to 10 bits. (63-53).
- EXPECT_EQ(ToDouble(0x4000000000000000), 0.5);
- EXPECT_EQ(ToDouble(0x4000000000000001), 0.5);
- EXPECT_EQ(ToDouble(0x40000000000003FF), 0.5);
-
- EXPECT_EQ(ToDouble(0xC000000000000000), -0.5);
- EXPECT_EQ(ToDouble(0xC000000000000001), -0.5);
- EXPECT_EQ(ToDouble(0xC0000000000003FF), -0.5);
-
- EXPECT_EQ(ToDouble(0x7FFFFFFFFFFFFFFe), 0.999999999999999888978);
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFe), -0.999999999999999888978);
-
- EXPECT_NE(ToDouble(0x7FFFFFFFFFFFF800), ToDouble(0x7FFFFFFFFFFFF7FF));
-
- EXPECT_LT(ToDouble(0x7FFFFFFFFFFFFFFF), 1.0);
- EXPECT_GT(ToDouble(0x7FFFFFFFFFFFFFFF), 0.9999999999);
-
- EXPECT_GT(ToDouble(0xFFFFFFFFFFFFFFFe), -1.0);
- EXPECT_LT(ToDouble(0xFFFFFFFFFFFFFFFe), -0.999999999);
-
- EXPECT_EQ(ToDouble(0xFFFFFFFFFFFFFFFe), ToDouble(0xFFFFFFFFFFFFFC00));
- EXPECT_EQ(ToDouble(0x7FFFFFFFFFFFFFFF), ToDouble(0x7FFFFFFFFFFFFC00));
- EXPECT_NE(ToDouble(0xFFFFFFFFFFFFFFFe), ToDouble(0xFFFFFFFFFFFFF3FF));
- EXPECT_NE(ToDouble(0x7FFFFFFFFFFFFFFF), ToDouble(0x7FFFFFFFFFFFF3FF));
-
- EXPECT_EQ(ToDouble(0x1000000000000001), 0.125);
- EXPECT_EQ(ToDouble(0x2000000000000001), 0.25);
- EXPECT_EQ(ToDouble(0x3000000000000001), 0.375);
- EXPECT_EQ(ToDouble(0x4000000000000001), 0.5);
- EXPECT_EQ(ToDouble(0x5000000000000001), 0.625);
- EXPECT_EQ(ToDouble(0x6000000000000001), 0.75);
- EXPECT_EQ(ToDouble(0x7000000000000001), 0.875);
- EXPECT_EQ(ToDouble(0x7800000000000001), 0.9375);
- EXPECT_EQ(ToDouble(0x7c00000000000001), 0.96875);
- EXPECT_EQ(ToDouble(0x7e00000000000001), 0.984375);
- EXPECT_EQ(ToDouble(0x7f00000000000001), 0.9921875);
-
- // 0x8000000000000000 ~= 0
- EXPECT_EQ(ToDouble(0x9000000000000001), -0.125);
- EXPECT_EQ(ToDouble(0xa000000000000001), -0.25);
- EXPECT_EQ(ToDouble(0xb000000000000001), -0.375);
- EXPECT_EQ(ToDouble(0xc000000000000001), -0.5);
- EXPECT_EQ(ToDouble(0xd000000000000001), -0.625);
- EXPECT_EQ(ToDouble(0xe000000000000001), -0.75);
- EXPECT_EQ(ToDouble(0xf000000000000001), -0.875);
-
- // Large powers of 2.
- int64_t two_to_53 = int64_t{1} << 53;
- EXPECT_EQ(static_cast<int64_t>(ToDouble(0x7FFFFFFFFFFFFFFF) * two_to_53),
- two_to_53 - 1);
- EXPECT_EQ(static_cast<int64_t>(ToDouble(0xFFFFFFFFFFFFFFFF) * two_to_53),
- -(two_to_53 - 1));
-
- EXPECT_NE(static_cast<int64_t>(ToDouble(0x7FFFFFFFFFFFFFFF) * two_to_53 * 2),
- two_to_53 * 2 - 1);
-
- // For values where every bit counts, the values scale as multiples of the
- // input.
- for (int i = 1; i < 100; ++i) {
- EXPECT_EQ(i * e_plus, ToDouble(i)) << i;
- EXPECT_EQ(i * e_minus, ToDouble(0x8000000000000000 | i)) << i;
- }
-}
-
-TEST(DistributionImplTest, ExhaustiveFloat) {
- using absl::base_internal::CountLeadingZeros64;
- auto ToFloat = [](uint64_t a) {
- return RandU64ToFloat<PositiveValueT, true>(a);
- };
-
- // Rely on RandU64ToFloat generating values from greatest to least when
- // supplied with uint64_t values from greatest (0xfff...) to least (0x0). Thus,
- // this algorithm stores the previous value, and if the new value is at
- // greater than or equal to the previous value, then there is a collision in
- // the generation algorithm.
- //
- // Use the computation below to convert the random value into a result:
- // double res = a() * (1.0f - sample) + b() * sample;
- float last_f = 1.0, last_g = 2.0;
- uint64_t f_collisions = 0, g_collisions = 0;
- uint64_t f_unique = 0, g_unique = 0;
- uint64_t total = 0;
- auto count = [&](const float r) {
- total++;
- // `f` is mapped to the range [0, 1) (default)
- const float f = 0.0f * (1.0f - r) + 1.0f * r;
- if (f >= last_f) {
- f_collisions++;
- } else {
- f_unique++;
- last_f = f;
- }
- // `g` is mapped to the range [1, 2)
- const float g = 1.0f * (1.0f - r) + 2.0f * r;
- if (g >= last_g) {
- g_collisions++;
- } else {
- g_unique++;
- last_g = g;
- }
- };
-
- size_t limit = absl::GetFlag(FLAGS_absl_random_test_trials);
-
- // Generate all uint64_t which have unique floating point values.
- // Counting down from 0xFFFFFFFFFFFFFFFFu ... 0x0u
- uint64_t x = ~uint64_t(0);
- for (; x != 0 && limit > 0;) {
- constexpr int kDig = (64 - FLT_MANT_DIG);
- // Set a decrement value & the next point at which to change
- // the decrement value. By default these are 1, 0.
- uint64_t dec = 1;
- uint64_t chk = 0;
-
- // Adjust decrement and check value based on how many leading 0
- // bits are set in the current value.
- const int clz = CountLeadingZeros64(x);
- if (clz < kDig) {
- dec <<= (kDig - clz);
- chk = (~uint64_t(0)) >> (clz + 1);
- }
- for (; x > chk && limit > 0; x -= dec) {
- count(ToFloat(x));
- --limit;
- }
- }
-
- static_assert(FLT_MANT_DIG == 24,
- "The float type is expected to have a 24 bit mantissa.");
-
- if (limit != 0) {
- // There are between 2^28 and 2^29 unique values in the range [0, 1). For
- // the low values of x, there are 2^24 -1 unique values. Once x > 2^24,
- // there are 40 * 2^24 unique values. Thus:
- // (2 + 4 + 8 ... + 2^23) + 40 * 2^23
- EXPECT_LT(1 << 28, f_unique);
- EXPECT_EQ((1 << 24) + 40 * (1 << 23) - 1, f_unique);
- EXPECT_EQ(total, f_unique);
- EXPECT_EQ(0, f_collisions);
-
- // Expect at least 2^23 unique values for the range [1, 2)
- EXPECT_LE(1 << 23, g_unique);
- EXPECT_EQ(total - g_unique, g_collisions);
- }
-}
-
-TEST(DistributionImplTest, MultiplyU64ToU128Test) {
- using absl::random_internal::MultiplyU64ToU128;
- constexpr uint64_t k1 = 1;
- constexpr uint64_t kMax = ~static_cast<uint64_t>(0);
-
- EXPECT_EQ(absl::uint128(0), MultiplyU64ToU128(0, 0));
-
- // Max uint64
- EXPECT_EQ(MultiplyU64ToU128(kMax, kMax),
- absl::MakeUint128(0xfffffffffffffffe, 0x0000000000000001));
- EXPECT_EQ(absl::MakeUint128(0, kMax), MultiplyU64ToU128(kMax, 1));
- EXPECT_EQ(absl::MakeUint128(0, kMax), MultiplyU64ToU128(1, kMax));
- for (int i = 0; i < 64; ++i) {
- EXPECT_EQ(absl::MakeUint128(0, kMax) << i,
- MultiplyU64ToU128(kMax, k1 << i));
- EXPECT_EQ(absl::MakeUint128(0, kMax) << i,
- MultiplyU64ToU128(k1 << i, kMax));
- }
-
- // 1-bit x 1-bit.
- for (int i = 0; i < 64; ++i) {
- for (int j = 0; j < 64; ++j) {
- EXPECT_EQ(absl::MakeUint128(0, 1) << (i + j),
- MultiplyU64ToU128(k1 << i, k1 << j));
- EXPECT_EQ(absl::MakeUint128(0, 1) << (i + j),
- MultiplyU64ToU128(k1 << i, k1 << j));
- }
- }
-
- // Verified multiplies
- EXPECT_EQ(MultiplyU64ToU128(0xffffeeeeddddcccc, 0xbbbbaaaa99998888),
- absl::MakeUint128(0xbbbb9e2692c5dddc, 0xc28f7531048d2c60));
- EXPECT_EQ(MultiplyU64ToU128(0x0123456789abcdef, 0xfedcba9876543210),
- absl::MakeUint128(0x0121fa00ad77d742, 0x2236d88fe5618cf0));
- EXPECT_EQ(MultiplyU64ToU128(0x0123456789abcdef, 0xfdb97531eca86420),
- absl::MakeUint128(0x0120ae99d26725fc, 0xce197f0ecac319e0));
- EXPECT_EQ(MultiplyU64ToU128(0x97a87f4f261ba3f2, 0xfedcba9876543210),
- absl::MakeUint128(0x96fbf1a8ae78d0ba, 0x5a6dd4b71f278320));
- EXPECT_EQ(MultiplyU64ToU128(0xfedcba9876543210, 0xfdb97531eca86420),
- absl::MakeUint128(0xfc98c6981a413e22, 0x342d0bbf48948200));
-}
-
-} // namespace