/* * Copyright (C) 2015 The Android Open Source Project * * 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 * * http://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. */ #ifndef ART_RUNTIME_BASE_BIT_UTILS_H_ #define ART_RUNTIME_BASE_BIT_UTILS_H_ #include #include #include #include "base/iteration_range.h" #include "base/logging.h" #include "base/stl_util.h" namespace art { template constexpr int CLZ(T x) { static_assert(std::is_integral::value, "T must be integral"); static_assert(std::is_unsigned::value, "T must be unsigned"); static_assert(sizeof(T) <= sizeof(long long), // NOLINT [runtime/int] [4] "T too large, must be smaller than long long"); DCHECK_NE(x, 0u); return (sizeof(T) == sizeof(uint32_t)) ? __builtin_clz(x) : __builtin_clzll(x); } template constexpr int CTZ(T x) { static_assert(std::is_integral::value, "T must be integral"); // It is not unreasonable to ask for trailing zeros in a negative number. As such, do not check // that T is an unsigned type. static_assert(sizeof(T) <= sizeof(long long), // NOLINT [runtime/int] [4] "T too large, must be smaller than long long"); DCHECK_NE(x, static_cast(0)); return (sizeof(T) == sizeof(uint32_t)) ? __builtin_ctz(x) : __builtin_ctzll(x); } // Return the number of 1-bits in `x`. template constexpr int POPCOUNT(T x) { return (sizeof(T) == sizeof(uint32_t)) ? __builtin_popcount(x) : __builtin_popcountll(x); } // Find the bit position of the most significant bit (0-based), or -1 if there were no bits set. template constexpr ssize_t MostSignificantBit(T value) { static_assert(std::is_integral::value, "T must be integral"); static_assert(std::is_unsigned::value, "T must be unsigned"); static_assert(std::numeric_limits::radix == 2, "Unexpected radix!"); return (value == 0) ? -1 : std::numeric_limits::digits - 1 - CLZ(value); } // Find the bit position of the least significant bit (0-based), or -1 if there were no bits set. template constexpr ssize_t LeastSignificantBit(T value) { static_assert(std::is_integral::value, "T must be integral"); static_assert(std::is_unsigned::value, "T must be unsigned"); return (value == 0) ? -1 : CTZ(value); } // How many bits (minimally) does it take to store the constant 'value'? i.e. 1 for 1, 3 for 5, etc. template constexpr size_t MinimumBitsToStore(T value) { return static_cast(MostSignificantBit(value) + 1); } template constexpr T RoundUpToPowerOfTwo(T x) { static_assert(std::is_integral::value, "T must be integral"); static_assert(std::is_unsigned::value, "T must be unsigned"); // NOTE: Undefined if x > (1 << (std::numeric_limits::digits - 1)). return (x < 2u) ? x : static_cast(1u) << (std::numeric_limits::digits - CLZ(x - 1u)); } template constexpr bool IsPowerOfTwo(T x) { static_assert(std::is_integral::value, "T must be integral"); // TODO: assert unsigned. There is currently many uses with signed values. return (x & (x - 1)) == 0; } template constexpr int WhichPowerOf2(T x) { static_assert(std::is_integral::value, "T must be integral"); // TODO: assert unsigned. There is currently many uses with signed values. DCHECK((x != 0) && IsPowerOfTwo(x)); return CTZ(x); } // For rounding integers. // Note: Omit the `n` from T type deduction, deduce only from the `x` argument. template constexpr T RoundDown(T x, typename Identity::type n) WARN_UNUSED; template constexpr T RoundDown(T x, typename Identity::type n) { DCHECK(IsPowerOfTwo(n)); return (x & -n); } template constexpr T RoundUp(T x, typename std::remove_reference::type n) WARN_UNUSED; template constexpr T RoundUp(T x, typename std::remove_reference::type n) { return RoundDown(x + n - 1, n); } // For aligning pointers. template inline T* AlignDown(T* x, uintptr_t n) WARN_UNUSED; template inline T* AlignDown(T* x, uintptr_t n) { return reinterpret_cast(RoundDown(reinterpret_cast(x), n)); } template inline T* AlignUp(T* x, uintptr_t n) WARN_UNUSED; template inline T* AlignUp(T* x, uintptr_t n) { return reinterpret_cast(RoundUp(reinterpret_cast(x), n)); } template constexpr bool IsAligned(T x) { static_assert((n & (n - 1)) == 0, "n is not a power of two"); return (x & (n - 1)) == 0; } template inline bool IsAligned(T* x) { return IsAligned(reinterpret_cast(x)); } template inline bool IsAlignedParam(T x, int n) { return (x & (n - 1)) == 0; } template inline bool IsAlignedParam(T* x, int n) { return IsAlignedParam(reinterpret_cast(x), n); } #define CHECK_ALIGNED(value, alignment) \ CHECK(::art::IsAligned(value)) << reinterpret_cast(value) #define DCHECK_ALIGNED(value, alignment) \ DCHECK(::art::IsAligned(value)) << reinterpret_cast(value) #define CHECK_ALIGNED_PARAM(value, alignment) \ CHECK(::art::IsAlignedParam(value, alignment)) << reinterpret_cast(value) #define DCHECK_ALIGNED_PARAM(value, alignment) \ DCHECK(::art::IsAlignedParam(value, alignment)) << reinterpret_cast(value) // Like sizeof, but count how many bits a type takes. Pass type explicitly. template constexpr size_t BitSizeOf() { static_assert(std::is_integral::value, "T must be integral"); using unsigned_type = typename std::make_unsigned::type; static_assert(sizeof(T) == sizeof(unsigned_type), "Unexpected type size mismatch!"); static_assert(std::numeric_limits::radix == 2, "Unexpected radix!"); return std::numeric_limits::digits; } // Like sizeof, but count how many bits a type takes. Infers type from parameter. template constexpr size_t BitSizeOf(T /*x*/) { return BitSizeOf(); } inline uint16_t Low16Bits(uint32_t value) { return static_cast(value); } inline uint16_t High16Bits(uint32_t value) { return static_cast(value >> 16); } inline uint32_t Low32Bits(uint64_t value) { return static_cast(value); } inline uint32_t High32Bits(uint64_t value) { return static_cast(value >> 32); } // Check whether an N-bit two's-complement representation can hold value. template inline bool IsInt(size_t N, T value) { if (N == BitSizeOf()) { return true; } else { CHECK_LT(0u, N); CHECK_LT(N, BitSizeOf()); T limit = static_cast(1) << (N - 1u); return (-limit <= value) && (value < limit); } } template constexpr T GetIntLimit(size_t bits) { DCHECK_NE(bits, 0u); DCHECK_LT(bits, BitSizeOf()); return static_cast(1) << (bits - 1); } template constexpr bool IsInt(T value) { static_assert(kBits > 0, "kBits cannot be zero."); static_assert(kBits <= BitSizeOf(), "kBits must be <= max."); static_assert(std::is_signed::value, "Needs a signed type."); // Corner case for "use all bits." Can't use the limits, as they would overflow, but it is // trivially true. return (kBits == BitSizeOf()) ? true : (-GetIntLimit(kBits) <= value) && (value < GetIntLimit(kBits)); } template constexpr bool IsUint(T value) { static_assert(kBits > 0, "kBits cannot be zero."); static_assert(kBits <= BitSizeOf(), "kBits must be <= max."); static_assert(std::is_integral::value, "Needs an integral type."); // Corner case for "use all bits." Can't use the limits, as they would overflow, but it is // trivially true. // NOTE: To avoid triggering assertion in GetIntLimit(kBits+1) if kBits+1==BitSizeOf(), // use GetIntLimit(kBits)*2u. The unsigned arithmetic works well for us if it overflows. using unsigned_type = typename std::make_unsigned::type; return (0 <= value) && (kBits == BitSizeOf() || (static_cast(value) <= GetIntLimit(kBits) * 2u - 1u)); } template constexpr bool IsAbsoluteUint(T value) { static_assert(kBits <= BitSizeOf(), "kBits must be <= max."); static_assert(std::is_integral::value, "Needs an integral type."); using unsigned_type = typename std::make_unsigned::type; return (kBits == BitSizeOf()) ? true : IsUint(value < 0 ? static_cast(-1 - value) + 1u // Avoid overflow. : static_cast(value)); } // Generate maximum/minimum values for signed/unsigned n-bit integers template constexpr T MaxInt(size_t bits) { DCHECK(std::is_unsigned::value || bits > 0u) << "bits cannot be zero for signed."; DCHECK_LE(bits, BitSizeOf()); using unsigned_type = typename std::make_unsigned::type; return bits == BitSizeOf() ? std::numeric_limits::max() : std::is_signed::value ? ((bits == 1u) ? 0 : static_cast(MaxInt(bits - 1))) : static_cast(UINT64_C(1) << bits) - static_cast(1); } template constexpr T MinInt(size_t bits) { DCHECK(std::is_unsigned::value || bits > 0) << "bits cannot be zero for signed."; DCHECK_LE(bits, BitSizeOf()); return bits == BitSizeOf() ? std::numeric_limits::min() : std::is_signed::value ? ((bits == 1u) ? -1 : static_cast(-1) - MaxInt(bits)) : static_cast(0); } // Using the Curiously Recurring Template Pattern to implement everything shared // by LowToHighBitIterator and HighToLowBitIterator, i.e. everything but operator*(). template class BitIteratorBase : public std::iterator { static_assert(std::is_integral::value, "T must be integral"); static_assert(std::is_unsigned::value, "T must be unsigned"); static_assert(sizeof(T) == sizeof(uint32_t) || sizeof(T) == sizeof(uint64_t), "Unsupported size"); public: BitIteratorBase() : bits_(0u) { } explicit BitIteratorBase(T bits) : bits_(bits) { } Iter& operator++() { DCHECK_NE(bits_, 0u); uint32_t bit = *static_cast(*this); bits_ &= ~(static_cast(1u) << bit); return static_cast(*this); } Iter& operator++(int) { Iter tmp(static_cast(*this)); ++*this; return tmp; } protected: T bits_; template friend bool operator==(const BitIteratorBase& lhs, const BitIteratorBase& rhs); }; template bool operator==(const BitIteratorBase& lhs, const BitIteratorBase& rhs) { return lhs.bits_ == rhs.bits_; } template bool operator!=(const BitIteratorBase& lhs, const BitIteratorBase& rhs) { return !(lhs == rhs); } template class LowToHighBitIterator : public BitIteratorBase> { public: using BitIteratorBase>::BitIteratorBase; uint32_t operator*() const { DCHECK_NE(this->bits_, 0u); return CTZ(this->bits_); } }; template class HighToLowBitIterator : public BitIteratorBase> { public: using BitIteratorBase>::BitIteratorBase; uint32_t operator*() const { DCHECK_NE(this->bits_, 0u); static_assert(std::numeric_limits::radix == 2, "Unexpected radix!"); return std::numeric_limits::digits - 1u - CLZ(this->bits_); } }; template IterationRange> LowToHighBits(T bits) { return IterationRange>( LowToHighBitIterator(bits), LowToHighBitIterator()); } template IterationRange> HighToLowBits(T bits) { return IterationRange>( HighToLowBitIterator(bits), HighToLowBitIterator()); } } // namespace art #endif // ART_RUNTIME_BASE_BIT_UTILS_H_