base/bits_unittest.cc

// Copyright 2009 The Chromium Authors
// Use of this source code is governed by a BSD-style license that can be
// found in the LICENSE file.

// This file contains the unit tests for the bit utilities.

#include "base/bits.h"
#include "build/build_config.h"

#include <stddef.h>

#include <limits>

#include "testing/gtest/include/gtest/gtest.h"

namespace base {
namespace bits {

TEST(BitsTest, Log2Floor) {
  EXPECT_EQ(-1, Log2Floor(0));
  EXPECT_EQ(0, Log2Floor(1));
  EXPECT_EQ(1, Log2Floor(2));
  EXPECT_EQ(1, Log2Floor(3));
  EXPECT_EQ(2, Log2Floor(4));
  for (int i = 3; i < 31; ++i) {
    unsigned int value = 1U << i;
    EXPECT_EQ(i, Log2Floor(value));
    EXPECT_EQ(i, Log2Floor(value + 1));
    EXPECT_EQ(i, Log2Floor(value + 2));
    EXPECT_EQ(i - 1, Log2Floor(value - 1));
    EXPECT_EQ(i - 1, Log2Floor(value - 2));
  }
  EXPECT_EQ(31, Log2Floor(0xffffffffU));
}

TEST(BitsTest, Log2Ceiling) {
  EXPECT_EQ(-1, Log2Ceiling(0));
  EXPECT_EQ(0, Log2Ceiling(1));
  EXPECT_EQ(1, Log2Ceiling(2));
  EXPECT_EQ(2, Log2Ceiling(3));
  EXPECT_EQ(2, Log2Ceiling(4));
  for (int i = 3; i < 31; ++i) {
    unsigned int value = 1U << i;
    EXPECT_EQ(i, Log2Ceiling(value));
    EXPECT_EQ(i + 1, Log2Ceiling(value + 1));
    EXPECT_EQ(i + 1, Log2Ceiling(value + 2));
    EXPECT_EQ(i, Log2Ceiling(value - 1));
    EXPECT_EQ(i, Log2Ceiling(value - 2));
  }
  EXPECT_EQ(32, Log2Ceiling(0xffffffffU));
}

TEST(BitsTest, AlignUp) {
  static constexpr size_t kSizeTMax = std::numeric_limits<size_t>::max();
  EXPECT_EQ(0, AlignUp(0, 4));
  EXPECT_EQ(4, AlignUp(1, 4));
  EXPECT_EQ(4096, AlignUp(1, 4096));
  EXPECT_EQ(4096, AlignUp(4096, 4096));
  EXPECT_EQ(4096, AlignUp(4095, 4096));
  EXPECT_EQ(8192, AlignUp(4097, 4096));
  EXPECT_EQ(kSizeTMax - 31, AlignUp(kSizeTMax - 62, size_t{32}));
  EXPECT_EQ(kSizeTMax / 2 + 1, AlignUp(size_t{1}, kSizeTMax / 2 + 1));
}

TEST(BitsTest, AlignUpPointer) {
  static constexpr uintptr_t kUintPtrTMax =
      std::numeric_limits<uintptr_t>::max();
  EXPECT_EQ(reinterpret_cast<uint8_t*>(0),
            AlignUp(reinterpret_cast<uint8_t*>(0), 4));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(4),
            AlignUp(reinterpret_cast<uint8_t*>(1), 4));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(4096),
            AlignUp(reinterpret_cast<uint8_t*>(1), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(4096),
            AlignUp(reinterpret_cast<uint8_t*>(4096), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(4096),
            AlignUp(reinterpret_cast<uint8_t*>(4095), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(8192),
            AlignUp(reinterpret_cast<uint8_t*>(4097), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(kUintPtrTMax - 31),
            AlignUp(reinterpret_cast<uint8_t*>(kUintPtrTMax - 62), 32));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(kUintPtrTMax / 2 + 1),
            AlignUp(reinterpret_cast<uint8_t*>(1), kUintPtrTMax / 2 + 1));
}

TEST(BitsTest, AlignDown) {
  static constexpr size_t kSizeTMax = std::numeric_limits<size_t>::max();
  EXPECT_EQ(0, AlignDown(0, 4));
  EXPECT_EQ(0, AlignDown(1, 4));
  EXPECT_EQ(0, AlignDown(1, 4096));
  EXPECT_EQ(4096, AlignDown(4096, 4096));
  EXPECT_EQ(0, AlignDown(4095, 4096));
  EXPECT_EQ(4096, AlignDown(4097, 4096));
  EXPECT_EQ(kSizeTMax - 63, AlignDown(kSizeTMax - 62, size_t{32}));
  EXPECT_EQ(kSizeTMax - 31, AlignDown(kSizeTMax, size_t{32}));
  EXPECT_EQ(0ul, AlignDown(size_t{1}, kSizeTMax / 2 + 1));
}

TEST(BitsTest, AlignDownPointer) {
  static constexpr uintptr_t kUintPtrTMax =
      std::numeric_limits<uintptr_t>::max();
  EXPECT_EQ(reinterpret_cast<uint8_t*>(0),
            AlignDown(reinterpret_cast<uint8_t*>(0), 4));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(0),
            AlignDown(reinterpret_cast<uint8_t*>(1), 4));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(0),
            AlignDown(reinterpret_cast<uint8_t*>(1), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(4096),
            AlignDown(reinterpret_cast<uint8_t*>(4096), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(0),
            AlignDown(reinterpret_cast<uint8_t*>(4095), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(4096),
            AlignDown(reinterpret_cast<uint8_t*>(4097), 4096));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(kUintPtrTMax - 63),
            AlignDown(reinterpret_cast<uint8_t*>(kUintPtrTMax - 62), 32));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(kUintPtrTMax - 31),
            AlignDown(reinterpret_cast<uint8_t*>(kUintPtrTMax), 32));
  EXPECT_EQ(reinterpret_cast<uint8_t*>(0),
            AlignDown(reinterpret_cast<uint8_t*>(1), kUintPtrTMax / 2 + 1));
}

TEST(BitsTest, CountLeadingZeroBits8) {
  EXPECT_EQ(8, CountLeadingZeroBits(uint8_t{0}));
  EXPECT_EQ(7, CountLeadingZeroBits(uint8_t{1}));
  for (int shift = 0; shift <= 7; ++shift) {
    EXPECT_EQ(7 - shift,
              CountLeadingZeroBits(static_cast<uint8_t>(1 << shift)));
  }
  EXPECT_EQ(4, CountLeadingZeroBits(uint8_t{0x0f}));
}

TEST(BitsTest, CountLeadingZeroBits16) {
  EXPECT_EQ(16, CountLeadingZeroBits(uint16_t{0}));
  EXPECT_EQ(15, CountLeadingZeroBits(uint16_t{1}));
  for (int shift = 0; shift <= 15; ++shift) {
    EXPECT_EQ(15 - shift,
              CountLeadingZeroBits(static_cast<uint16_t>(1 << shift)));
  }
  EXPECT_EQ(4, CountLeadingZeroBits(uint16_t{0x0f0f}));
}

TEST(BitsTest, CountLeadingZeroBits32) {
  EXPECT_EQ(32, CountLeadingZeroBits(uint32_t{0}));
  EXPECT_EQ(31, CountLeadingZeroBits(uint32_t{1}));
  for (int shift = 0; shift <= 31; ++shift) {
    EXPECT_EQ(31 - shift, CountLeadingZeroBits(uint32_t{1} << shift));
  }
  EXPECT_EQ(4, CountLeadingZeroBits(uint32_t{0x0f0f0f0f}));
}

TEST(BitsTest, CountTrailingZeroBits8) {
  EXPECT_EQ(8, CountTrailingZeroBits(uint8_t{0}));
  EXPECT_EQ(7, CountTrailingZeroBits(uint8_t{128}));
  for (int shift = 0; shift <= 7; ++shift) {
    EXPECT_EQ(shift, CountTrailingZeroBits(static_cast<uint8_t>(1 << shift)));
  }
  EXPECT_EQ(4, CountTrailingZeroBits(uint8_t{0xf0}));
}

TEST(BitsTest, CountTrailingZeroBits16) {
  EXPECT_EQ(16, CountTrailingZeroBits(uint16_t{0}));
  EXPECT_EQ(15, CountTrailingZeroBits(uint16_t{32768}));
  for (int shift = 0; shift <= 15; ++shift) {
    EXPECT_EQ(shift, CountTrailingZeroBits(static_cast<uint16_t>(1 << shift)));
  }
  EXPECT_EQ(4, CountTrailingZeroBits(uint16_t{0xf0f0}));
}

TEST(BitsTest, CountTrailingZeroBits32) {
  EXPECT_EQ(32, CountTrailingZeroBits(uint32_t{0}));
  EXPECT_EQ(31, CountTrailingZeroBits(uint32_t{1} << 31));
  for (int shift = 0; shift <= 31; ++shift) {
    EXPECT_EQ(shift, CountTrailingZeroBits(uint32_t{1} << shift));
  }
  EXPECT_EQ(4, CountTrailingZeroBits(uint32_t{0xf0f0f0f0}));
}

TEST(BitsTest, CountLeadingZeroBits64) {
  EXPECT_EQ(64, CountLeadingZeroBits(uint64_t{0}));
  EXPECT_EQ(63, CountLeadingZeroBits(uint64_t{1}));
  for (int shift = 0; shift <= 63; ++shift) {
    EXPECT_EQ(63 - shift, CountLeadingZeroBits(uint64_t{1} << shift));
  }
  EXPECT_EQ(4, CountLeadingZeroBits(uint64_t{0x0f0f0f0f0f0f0f0f}));
}

TEST(BitsTest, CountTrailingZeroBits64) {
  EXPECT_EQ(64, CountTrailingZeroBits(uint64_t{0}));
  EXPECT_EQ(63, CountTrailingZeroBits(uint64_t{1} << 63));
  for (int shift = 0; shift <= 31; ++shift) {
    EXPECT_EQ(shift, CountTrailingZeroBits(uint64_t{1} << shift));
  }
  EXPECT_EQ(4, CountTrailingZeroBits(uint64_t{0xf0f0f0f0f0f0f0f0}));
}

TEST(BitsTest, CountLeadingZeroBitsSizeT) {
#if defined(ARCH_CPU_64_BITS)
  EXPECT_EQ(64, CountLeadingZeroBits(size_t{0}));
  EXPECT_EQ(63, CountLeadingZeroBits(size_t{1}));
  EXPECT_EQ(32, CountLeadingZeroBits(size_t{1} << 31));
  EXPECT_EQ(1, CountLeadingZeroBits(size_t{1} << 62));
  EXPECT_EQ(0, CountLeadingZeroBits(size_t{1} << 63));
#else
  EXPECT_EQ(32, CountLeadingZeroBits(size_t{0}));
  EXPECT_EQ(31, CountLeadingZeroBits(size_t{1}));
  EXPECT_EQ(1, CountLeadingZeroBits(size_t{1} << 30));
  EXPECT_EQ(0, CountLeadingZeroBits(size_t{1} << 31));
#endif  // ARCH_CPU_64_BITS
}

TEST(BitsTest, CountTrailingZeroBitsSizeT) {
#if defined(ARCH_CPU_64_BITS)
  EXPECT_EQ(64, CountTrailingZeroBits(size_t{0}));
  EXPECT_EQ(63, CountTrailingZeroBits(size_t{1} << 63));
  EXPECT_EQ(31, CountTrailingZeroBits(size_t{1} << 31));
  EXPECT_EQ(1, CountTrailingZeroBits(size_t{2}));
  EXPECT_EQ(0, CountTrailingZeroBits(size_t{1}));
#else
  EXPECT_EQ(32, CountTrailingZeroBits(size_t{0}));
  EXPECT_EQ(31, CountTrailingZeroBits(size_t{1} << 31));
  EXPECT_EQ(1, CountTrailingZeroBits(size_t{2}));
  EXPECT_EQ(0, CountTrailingZeroBits(size_t{1}));
#endif  // ARCH_CPU_64_BITS
}

TEST(BitsTest, PowerOfTwo) {
  EXPECT_FALSE(IsPowerOfTwo(-1));
  EXPECT_FALSE(IsPowerOfTwo(0));
  EXPECT_TRUE(IsPowerOfTwo(1));
  EXPECT_TRUE(IsPowerOfTwo(2));
  // Unsigned 64 bit cases.
  for (uint32_t i = 2; i < 64; i++) {
    const uint64_t val = uint64_t{1} << i;
    EXPECT_FALSE(IsPowerOfTwo(val - 1));
    EXPECT_TRUE(IsPowerOfTwo(val));
    EXPECT_FALSE(IsPowerOfTwo(val + 1));
  }
  // Signed 64 bit cases.
  for (uint32_t i = 2; i < 63; i++) {
    const int64_t val = int64_t{1} << i;
    EXPECT_FALSE(IsPowerOfTwo(val - 1));
    EXPECT_TRUE(IsPowerOfTwo(val));
    EXPECT_FALSE(IsPowerOfTwo(val + 1));
  }
  // Signed integers with only the last bit set are negative, not powers of two.
  EXPECT_FALSE(IsPowerOfTwo(int64_t{1} << 63));
}

TEST(BitsTest, LeftMostBit) {
  // Construction of a signed type from an unsigned one of the same width
  // preserves all bits. Explicitily confirming this behavior here to illustrate
  // correctness of reusing unsigned literals to test behavior of signed types.
  // Using signed literals does not work with EXPECT_EQ.
  static_assert(int64_t(0xFFFFFFFFFFFFFFFFu) == 0xFFFFFFFFFFFFFFFFl,
                "Comparing signed with unsigned literals compares bits.");
  static_assert((0xFFFFFFFFFFFFFFFFu ^ 0xFFFFFFFFFFFFFFFFl) == 0,
                "Signed and unsigned literals have the same bits set");

  uint64_t unsigned_long_long_value = 0x8000000000000000u;
  EXPECT_EQ(LeftmostBit<uint64_t>(), unsigned_long_long_value);
  EXPECT_EQ(LeftmostBit<int64_t>(), int64_t(unsigned_long_long_value));

  uint32_t unsigned_long_value = 0x80000000u;
  EXPECT_EQ(LeftmostBit<uint32_t>(), unsigned_long_value);
  EXPECT_EQ(LeftmostBit<int32_t>(), int32_t(unsigned_long_value));

  uint16_t unsigned_short_value = 0x8000u;
  EXPECT_EQ(LeftmostBit<uint16_t>(), unsigned_short_value);
  EXPECT_EQ(LeftmostBit<int16_t>(), int16_t(unsigned_short_value));

  uint8_t unsigned_byte_value = 0x80u;
  EXPECT_EQ(LeftmostBit<uint8_t>(), unsigned_byte_value);
  EXPECT_EQ(LeftmostBit<int8_t>(), int8_t(unsigned_byte_value));
}

}  // namespace bits
}  // namespace base