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Diffstat (limited to 'absl/random/internal/fastmath_test.cc')
-rw-r--r-- | absl/random/internal/fastmath_test.cc | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/absl/random/internal/fastmath_test.cc b/absl/random/internal/fastmath_test.cc new file mode 100644 index 00000000..65859c25 --- /dev/null +++ b/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 |