Add 'third_party/abseil_cpp/' from commit '768eb2ca2857342673fcd462792ce04b8bac3fa3' r/781

git-subtree-dir: third_party/abseil_cpp
git-subtree-mainline: ffb2ae54beb5796cd408fbe15d2d2da09ff37adf
git-subtree-split: 768eb2ca2857342673fcd462792ce04b8bac3fa3

1 files changed, 110 insertions, 0 deletions

diff --git a/third_party/abseil_cpp/absl/random/internal/fastmath_test.cc b/third_party/abseil_cpp/absl/random/internal/fastmath_test.cc
new file mode 100644
index 000000000000..65859c25de4c
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+++ b/third_party/abseil_cpp/absl/random/internal/fastmath_test.cc
@@ -0,0 +1,110 @@
+// 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/fastmath.h"
+
+#include "gtest/gtest.h"
+
+#if defined(__native_client__) || defined(__EMSCRIPTEN__)
+// NACL has a less accurate implementation of std::log2 than most of
+// the other platforms. For some values which should have integral results,
+// sometimes NACL returns slightly larger values.
+//
+// The MUSL libc used by emscripten also has a similar bug.
+#define ABSL_RANDOM_INACCURATE_LOG2
+#endif
+
+namespace {
+
+TEST(DistributionImplTest, LeadingSetBit) {
+  using absl::random_internal::LeadingSetBit;
+  constexpr uint64_t kZero = 0;
+  EXPECT_EQ(0, LeadingSetBit(kZero));
+  EXPECT_EQ(64, LeadingSetBit(~kZero));
+
+  for (int index = 0; index < 64; index++) {
+    uint64_t x = static_cast<uint64_t>(1) << index;
+    EXPECT_EQ(index + 1, LeadingSetBit(x)) << index;
+    EXPECT_EQ(index + 1, LeadingSetBit(x + x - 1)) << index;
+  }
+}
+
+TEST(FastMathTest, IntLog2FloorTest) {
+  using absl::random_internal::IntLog2Floor;
+  constexpr uint64_t kZero = 0;
+  EXPECT_EQ(0, IntLog2Floor(0));  // boundary. return 0.
+  EXPECT_EQ(0, IntLog2Floor(1));
+  EXPECT_EQ(1, IntLog2Floor(2));
+  EXPECT_EQ(63, IntLog2Floor(~kZero));
+
+  // A boundary case: Converting 0xffffffffffffffff requires > 53
+  // bits of precision, so the conversion to double rounds up,
+  // and the result of std::log2(x) > IntLog2Floor(x).
+  EXPECT_LT(IntLog2Floor(~kZero), static_cast<int>(std::log2(~kZero)));
+
+  for (int i = 0; i < 64; i++) {
+    const uint64_t i_pow_2 = static_cast<uint64_t>(1) << i;
+    EXPECT_EQ(i, IntLog2Floor(i_pow_2));
+    EXPECT_EQ(i, static_cast<int>(std::log2(i_pow_2)));
+
+    uint64_t y = i_pow_2;
+    for (int j = i - 1; j > 0; --j) {
+      y = y | (i_pow_2 >> j);
+      EXPECT_EQ(i, IntLog2Floor(y));
+    }
+  }
+}
+
+TEST(FastMathTest, IntLog2CeilTest) {
+  using absl::random_internal::IntLog2Ceil;
+  constexpr uint64_t kZero = 0;
+  EXPECT_EQ(0, IntLog2Ceil(0));  // boundary. return 0.
+  EXPECT_EQ(0, IntLog2Ceil(1));
+  EXPECT_EQ(1, IntLog2Ceil(2));
+  EXPECT_EQ(64, IntLog2Ceil(~kZero));
+
+  // A boundary case: Converting 0xffffffffffffffff requires > 53
+  // bits of precision, so the conversion to double rounds up,
+  // and the result of std::log2(x) > IntLog2Floor(x).
+  EXPECT_LE(IntLog2Ceil(~kZero), static_cast<int>(std::log2(~kZero)));
+
+  for (int i = 0; i < 64; i++) {
+    const uint64_t i_pow_2 = static_cast<uint64_t>(1) << i;
+    EXPECT_EQ(i, IntLog2Ceil(i_pow_2));
+#ifndef ABSL_RANDOM_INACCURATE_LOG2
+    EXPECT_EQ(i, static_cast<int>(std::ceil(std::log2(i_pow_2))));
+#endif
+
+    uint64_t y = i_pow_2;
+    for (int j = i - 1; j > 0; --j) {
+      y = y | (i_pow_2 >> j);
+      EXPECT_EQ(i + 1, IntLog2Ceil(y));
+    }
+  }
+}
+
+TEST(FastMathTest, StirlingLogFactorial) {
+  using absl::random_internal::StirlingLogFactorial;
+
+  EXPECT_NEAR(StirlingLogFactorial(1.0), 0, 1e-3);
+  EXPECT_NEAR(StirlingLogFactorial(1.50), 0.284683, 1e-3);
+  EXPECT_NEAR(StirlingLogFactorial(2.0), 0.69314718056, 1e-4);
+
+  for (int i = 2; i < 50; i++) {
+    double d = static_cast<double>(i);
+    EXPECT_NEAR(StirlingLogFactorial(d), std::lgamma(d + 1), 3e-5);
+  }
+}
+
+}  // namespace