// Copyright 2022 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. #ifndef ABSL_CRC_INTERNAL_CRC_INTERNAL_H_ #define ABSL_CRC_INTERNAL_CRC_INTERNAL_H_ #include #include #include #include "absl/base/internal/raw_logging.h" #include "absl/crc/internal/crc.h" namespace absl { ABSL_NAMESPACE_BEGIN namespace crc_internal { // Prefetch constants used in some Extend() implementations constexpr int kPrefetchHorizon = ABSL_CACHELINE_SIZE * 4; // Prefetch this far // Shorter prefetch distance for smaller buffers constexpr int kPrefetchHorizonMedium = ABSL_CACHELINE_SIZE * 1; static_assert(kPrefetchHorizon >= 64, "CRCPrefetchHorizon less than loop len"); // We require the Scramble() function: // - to be reversible (Unscramble() must exist) // - to be non-linear in the polynomial's Galois field (so the CRC of a // scrambled CRC is not linearly affected by the scrambled CRC, even if // using the same polynomial) // - not to be its own inverse. Preferably, if X=Scramble^N(X) and N!=0, then // N is large. // - to be fast. // - not to change once defined. // We introduce non-linearity in two ways: // Addition of a constant. // - The carries introduce non-linearity; we use bits of an irrational // (phi) to make it unlikely that we introduce no carries. // Rotate by a constant number of bits. // - We use floor(degree/2)+1, which does not divide the degree, and // splits the bits nearly evenly, which makes it less likely the // halves will be the same or one will be all zeroes. // We do both things to improve the chances of non-linearity in the face of // bit patterns with low numbers of bits set, while still being fast. // Below is the constant that we add. The bits are the first 128 bits of the // fractional part of phi, with a 1 ored into the bottom bit to maximize the // cycle length of repeated adds. constexpr uint64_t kScrambleHi = (static_cast(0x4f1bbcdcU) << 32) | static_cast(0xbfa53e0aU); constexpr uint64_t kScrambleLo = (static_cast(0xf9ce6030U) << 32) | static_cast(0x2e76e41bU); class CRCImpl : public CRC { // Implementation of the abstract class CRC public: using Uint32By256 = uint32_t[256]; CRCImpl() = default; ~CRCImpl() override = default; // The internal version of CRC::New(). static CRCImpl* NewInternal(); // Fill in a table for updating a CRC by one word of 'word_size' bytes // [last_lo, last_hi] contains the answer if the last bit in the word // is set. static void FillWordTable(uint32_t poly, uint32_t last, int word_size, Uint32By256* t); // Build the table for extending by zeroes, returning the number of entries. // For a in {1, 2, ..., ZEROES_BASE-1}, b in {0, 1, 2, 3, ...}, // entry j=a-1+(ZEROES_BASE-1)*b // contains a polynomial Pi such that multiplying // a CRC by Pi mod P, where P is the CRC polynomial, is equivalent to // appending a*2**(ZEROES_BASE_LG*b) zero bytes to the original string. static int FillZeroesTable(uint32_t poly, Uint32By256* t); virtual void InitTables() = 0; private: CRCImpl(const CRCImpl&) = delete; CRCImpl& operator=(const CRCImpl&) = delete; }; // This is the 32-bit implementation. It handles all sizes from 8 to 32. class CRC32 : public CRCImpl { public: CRC32() = default; ~CRC32() override = default; void Extend(uint32_t* crc, const void* bytes, size_t length) const override; void ExtendByZeroes(uint32_t* crc, size_t length) const override; void Scramble(uint32_t* crc) const override; void Unscramble(uint32_t* crc) const override; void UnextendByZeroes(uint32_t* crc, size_t length) const override; void InitTables() override; private: // Common implementation guts for ExtendByZeroes and UnextendByZeroes(). // // zeroes_table is a table as returned by FillZeroesTable(), containing // polynomials representing CRCs of strings-of-zeros of various lengths, // and which can be combined by polynomial multiplication. poly_table is // a table of CRC byte extension values. These tables are determined by // the generator polynomial. // // These will be set to reverse_zeroes_ and reverse_table0_ for Unextend, and // CRC32::zeroes_ and CRC32::table0_ for Extend. static void ExtendByZeroesImpl(uint32_t* crc, size_t length, const uint32_t zeroes_table[256], const uint32_t poly_table[256]); uint32_t table0_[256]; // table of byte extensions uint32_t zeroes_[256]; // table of zero extensions // table of 4-byte extensions shifted by 12 bytes of zeroes uint32_t table_[4][256]; // Reverse lookup tables, using the alternate polynomial used by // UnextendByZeroes(). uint32_t reverse_table0_[256]; // table of reverse byte extensions uint32_t reverse_zeroes_[256]; // table of reverse zero extensions CRC32(const CRC32&) = delete; CRC32& operator=(const CRC32&) = delete; }; // Helpers // Return a bit mask containing len 1-bits. // Requires 0 < len <= sizeof(T) template T MaskOfLength(int len) { // shift 2 by len-1 rather than 1 by len because shifts of wordsize // are undefined. return (T(2) << (len - 1)) - 1; } // Rotate low-order "width" bits of "in" right by "r" bits, // setting other bits in word to arbitrary values. template T RotateRight(T in, int width, int r) { return (in << (width - r)) | ((in >> r) & MaskOfLength(width - r)); } // RoundUp(p) returns the lowest address >= p aligned to an N-byte // boundary. Requires that N is a power of 2. template const uint8_t* RoundUp(const uint8_t* p) { static_assert((alignment & (alignment - 1)) == 0, "alignment is not 2^n"); constexpr uintptr_t mask = alignment - 1; const uintptr_t as_uintptr = reinterpret_cast(p); return reinterpret_cast((as_uintptr + mask) & ~mask); } // Return a newly created CRC32AcceleratedX86ARMCombined if we can use Intel's // or ARM's CRC acceleration for a given polynomial. Return nullptr otherwise. CRCImpl* TryNewCRC32AcceleratedX86ARMCombined(); // Return all possible hardware accelerated implementations. For testing only. std::vector> NewCRC32AcceleratedX86ARMCombinedAll(); } // namespace crc_internal ABSL_NAMESPACE_END } // namespace absl #endif // ABSL_CRC_INTERNAL_CRC_INTERNAL_H_