// Part of the Carbon Language project, under the Apache License v2.0 with LLVM // Exceptions. See /LICENSE for license information. // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception #ifndef CARBON_COMMON_HASHING_H_ #define CARBON_COMMON_HASHING_H_ #include #include #include #include #include #include "common/check.h" #include "common/ostream.h" #include "llvm/ADT/ArrayRef.h" #include "llvm/ADT/SmallVector.h" #include "llvm/ADT/StringRef.h" #include "llvm/Support/FormatVariadic.h" #ifdef __ARM_ACLE #include #endif namespace Carbon { // A 64-bit hash code produced by `Carbon::HashValue`. // // This provides methods for extracting high-quality bits from the hash code // quickly. // // This class can also be a hashing input when recursively hashing more complex // data structures. class HashCode : public Printable { public: HashCode() = default; constexpr explicit HashCode(uint64_t value) : value_(value) {} friend constexpr auto operator==(HashCode lhs, HashCode rhs) -> bool { return lhs.value_ == rhs.value_; } friend constexpr auto operator!=(HashCode lhs, HashCode rhs) -> bool { return lhs.value_ != rhs.value_; } // Extracts an index from the hash code as a `ssize_t`. This index covers the // full range of that type, and may even be negative. Typical usage will // involve masking this down to some positive range using a bitand with a mask // computed from a power-of-two size. This routine doesn't do any masking to // ensure a positive index to avoid redundant computations with the typical // user of the index. constexpr auto ExtractIndex() -> ssize_t; // Extracts an index and a fixed `N`-bit tag from the hash code. // // This extracts these values from the position of the hash code which // maximizes the entropy in the tag and the low bits of the index, as typical // indices will be further masked down to fall in a smaller range. // // `N` must be in the range [1, 32]. The returned index will be in the range // [0, 2**(64-N)). template constexpr auto ExtractIndexAndTag() -> std::pair; // Extract the full 64-bit hash code as an integer. // // The methods above should be preferred rather than directly manipulating // this integer. This is provided primarily to enable Merkle-tree hashing or // other recursive hashing where that is needed or more efficient. explicit operator uint64_t() const { return value_; } auto Print(llvm::raw_ostream& out) const -> void { out << llvm::formatv("{0:x16}", value_); } private: uint64_t value_ = 0; }; // Computes a hash code for the provided value, incorporating the provided seed. // // The seed doesn't need to be of any particular high quality, but a zero seed // has bad effects in several places. Prefer the unseeded routine rather than // providing a zero here. // // This **not** a cryptographically secure or stable hash -- it is only designed // for use with in-memory hash table style data structures. Being fast and // effective for that use case is the guiding principle of its design. // // There is no guarantee that the values produced are stable from execution to // execution. For speed and quality reasons, the implementation does not // introduce any variance to defend against accidental dependencies. As a // consequence, it is strongly encouraged to use a seed that varies from // execution to execution to avoid depending on specific values produced. // // The algorithm used is most heavily based on [Abseil's hashing algorithm][1], // with some additional ideas and inspiration from the fallback hashing // algorithm in [Rust's AHash][2] and the [FxHash][3] function. However, there // are also *significant* changes introduced here. // // [1]: https://github.com/abseil/abseil-cpp/tree/master/absl/hash/internal // [2]: https://github.com/tkaitchuck/aHash/wiki/AHash-fallback-algorithm // [3]: https://docs.rs/fxhash/latest/fxhash/ // // This hash algorithm does *not* defend against hash flooding. While it can be // viewed as "keyed" on the seed, it is expected to be possible to craft inputs // for some data types that cancel out the seed used and manufacture endlessly // colliding sets of keys. In general, this function works to be *fast* for hash // tables. If you need to defend against hash flooding, either directly use a // data structure with strong worst-case guarantees, or a hash table which // detects catastrophic collisions and falls back to such a data structure. // // This hash function is heavily optimized for *latency* over *quality*. Modern // hash tables designs can efficiently handle reasonable collision rates, // including using extra bits from the hash to avoid all efficiency coming from // the same low bits. Because of this, low-latency is significantly more // important for performance than high-quality, and this is heavily leveraged. // The result is that the hash codes produced *do* have significant avalanche // problems for small keys. The upside is that the latency for hashing integers, // pointers, and small byte strings (up to 32-bytes) is exceptionally low, and // essentially a small constant time instruction sequence. // // No exotic instruction set extensions are required, and the state used is // small. It does rely on being able to get the low- and high-64-bit results of // a 64-bit multiply efficiently. // // The function supports many typical data types such as primitives, string-ish // views, and types composing primitives transparently like pairs, tuples, and // array-ish views. It is also extensible to support user-defined types. // // The builtin support for string-like types include: // - `std::string_view` // - `std::string` // - `llvm::StringRef` // - `llvm::SmallString` // // This function supports heterogeneous lookup between all of the string-like // types. It also supports heterogeneous lookup between pointer types regardless // of pointee type and `nullptr`. // // However, these are the only heterogeneous lookup support including for the // builtin in, standard, and LLVM types. Notably, each different size and // signedness integer type may hash differently for efficiency reasons. Hash // tables should pick a single integer type in which to manage keys and do // lookups. // // To add support for your type, you need to implement a customization point -- // a free function that can be found by ADL for your type -- called // `CarbonHashValue` with the following signature: // // ```cpp // auto CarbonHashValue(const YourType& value, uint64_t seed) -> HashCode; // ``` // // The extension point needs to ensure that values that compare equal (including // any comparisons with different types that might be used with a hash table of // `YourType` keys) produce the same `HashCode` values. // // `HashCode` values should typically be produced using the `Hasher` helper type // below. See its documentation for more details about implementing these // customization points and how best to incorporate the value's state into a // `HashCode`. // // For two input values that are almost but not quite equal, the extension // point should maximize the probability of each bit of their resulting // `HashCode`s differing. More formally, `HashCode`s should exhibit an // [avalanche effect][4]. However, while this is desirable, it should be // **secondary** to low latency. The intended use case of these functions is not // cryptography but in-memory hashtables where the latency and overhead of // computing the `HashCode` is *significantly* more important than achieving a // particularly high quality. The goal is to have "just enough" avalanche // effect, but there is not a fixed criteria for how much is enough. That should // be determined through practical experimentation with a hashtable and // distribution of keys. // // [4]: https://en.wikipedia.org/wiki/Avalanche_effect template inline auto HashValue(const T& value, uint64_t seed) -> HashCode; // The same as the seeded version of `HashValue` but without callers needing to // provide a seed. // // Generally prefer the seeded version, but this is available if there is no // reasonable seed. In particular, this will behave better than using a seed of // `0`. One important use case is for recursive hashing of sub-objects where // appropriate or needed. template inline auto HashValue(const T& value) -> HashCode; // Object and APIs that eventually produce a hash code. // // This type is primarily used by types to implement a customization point // `CarbonHashValue` that will in turn be used by the `HashValue` function. See // the `HashValue` function for details of that extension point. // // The methods on this type can be used to incorporate data from your // user-defined type into its internal state which can be converted to a // `HashCode` at any time. These methods will only produce the same `HashCode` // if they are called in the exact same order with the same arguments -- there // are no guaranteed equivalences between calling different methods. // // Example usage: // ```cpp // auto CarbonHashValue(const MyType& value, uint64_t seed) -> HashCode { // Hasher hasher(seed); // hasher.HashTwo(value.x, value.y); // return static_cast(hasher); // } // ``` // // This type's API also reflects the reality that high-performance hash tables // are used with keys that are generally small and cheap to hash. // // To ensure this type's code is optimized effectively, it should typically be // used as a local variable and not passed across function boundaries // unnecessarily. // // The type also provides a number of static helper functions and static data // members that may be used by authors of `CarbonHashValue` implementations to // efficiently compute the inputs to the core `Hasher` methods, or even to // manually do some amounts of hashing in performance-tuned ways outside of the // methods provided. class Hasher { public: Hasher() = default; explicit Hasher(uint64_t seed) : buffer(seed) {} Hasher(Hasher&& arg) = default; Hasher(const Hasher& arg) = delete; auto operator=(Hasher&& rhs) -> Hasher& = default; // Extracts the current state as a `HashCode` for use. explicit operator HashCode() const { return HashCode(buffer); } // Incorporates an object into the hasher's state by hashing its object // representation. Requires `value`'s type to have a unique object // representation. This is primarily useful for builtin and primitive types. // // This can be directly used for simple users combining some aggregation of // objects. However, when possible, prefer the variadic version below for // aggregating several primitive types into a hash. template requires std::has_unique_object_representations_v auto Hash(const T& value) -> void; // Incorporates a variable number of objects into the `hasher`s state in a // similar manner to applying the above function to each one in series. It has // the same requirements as the above function for each `value`. And it // returns the updated `hasher`. // // There is no guaranteed correspondence between the behavior of a single call // with multiple parameters and multiple calls. This routine is also optimized // for handling relatively small numbers of objects. For hashing large // aggregations, consider some Merkle-tree decomposition or arranging for a // byte buffer that can be hashed as a single buffer. However, hashing large // aggregations of data in this way is rarely results in effectively // high-performance hash table data structures and so should generally be // avoided. template requires(... && std::has_unique_object_representations_v) auto Hash(const Ts&... value) -> void; // Simpler and more primitive functions to incorporate state represented in // `uint64_t` values into the hasher's state. // // These may be slightly less efficient than the `Hash` method above for a // typical application code `uint64_t`, but are designed to work well even // when relevant data has been packed into the `uint64_t` parameters densely. auto HashDense(uint64_t data) -> void; auto HashDense(uint64_t data0, uint64_t data1) -> void; // A heavily optimized routine for incorporating a dynamically sized sequence // of bytes into the hasher's state. // // This routine has carefully structured inline code paths for short byte // sequences and a reasonably high bandwidth code path for longer sequences. // The size of the byte sequence is always incorporated into the hasher's // state along with the contents. auto HashSizedBytes(llvm::ArrayRef bytes) -> void; // An out-of-line, throughput-optimized routine for incorporating a // dynamically sized sequence when the sequence size is guaranteed to be >32. // The size is always incorporated into the state. auto HashSizedBytesLarge(llvm::ArrayRef bytes) -> void; // Utility functions to read data of various sizes efficiently into a // 64-bit value. These pointers need-not be aligned, and can alias other // objects. The representation of the read data in the `uint64_t` returned is // not stable or guaranteed. static auto Read1(const std::byte* data) -> uint64_t; static auto Read2(const std::byte* data) -> uint64_t; static auto Read4(const std::byte* data) -> uint64_t; static auto Read8(const std::byte* data) -> uint64_t; // Similar to the `ReadN` functions, but supports reading a range of different // bytes provided by the size *without branching on the size*. The lack of // branches is often key, and the code in these routines works to be efficient // in extracting a *dynamic* size of bytes into the returned `uint64_t`. There // may be overlap between different routines, because these routines are based // on different implementation techniques that do have some overlap in the // range of sizes they can support. Which routine is the most efficient for a // size in the overlap isn't trivial, and so these primitives are provided // as-is and should be selected based on the localized generated code and // benchmarked performance. static auto Read1To3(const std::byte* data, ssize_t size) -> uint64_t; static auto Read4To8(const std::byte* data, ssize_t size) -> uint64_t; static auto Read8To16(const std::byte* data, ssize_t size) -> std::pair; // Reads the underlying object representation of a type into a 64-bit integer // efficiently. Only supports types with unique object representation and at // most 8-bytes large. This is typically used to read primitive types. template requires std::has_unique_object_representations_v && (sizeof(T) <= 8) static auto ReadSmall(const T& value) -> uint64_t; // The core of the hash algorithm is this mix function. The specific // operations are not guaranteed to be stable but are described here for // hashing authors to understand what to expect. // // Currently, this uses the same "mix" operation as in Abseil, AHash, and // several other hashing algorithms. It takes two 64-bit integers, and // multiplies them, capturing both the high 64-bit result and the low 64-bit // result, and then XOR-ing those two halves together. // // A consequence of this operation is that a zero on either side will fail to // incorporate any bits from the other side. Often, this is an acceptable rate // of collision in practice. But it is worth being aware of and working to // avoid common paths encountering this. For example, naively used this might // cause different length all-zero byte strings to hash the same, essentially // losing the length in the composition of the hash for a likely important // case of byte sequence. // // Another consequence of the particular implementation is that it is useful // to have a reasonable distribution of bits throughout both sides of the // multiplication. However, it is not *necessary* as we do capture the // complete 128-bit result. Where reasonable, the caller should XOR random // data into operands before calling `Mix` to try and increase the // distribution of bits feeding the multiply. static auto Mix(uint64_t lhs, uint64_t rhs) -> uint64_t; // An alternative to `Mix` that is significantly weaker but also lower // latency. It should not be used when the input `uint64_t` is densely packed // with data, but is a good option for hashing a single integer or pointer // where the full 64-bits are sparsely populated and especially the high bits // are often invariant between interestingly different values. // // This uses just the low 64-bit result of a multiply. It ensures the operand // is good at diffusing bits, but inherently the high bits of the input will // be (significantly) less often represented in the output. It also does some // reversal to ensure the *low* bits of the result are the most useful ones. static auto WeakMix(uint64_t value) -> uint64_t; // We have a 64-byte random data pool designed to fit on a single cache line. // This routine allows sampling it at byte indices, which allows getting 64 - // 8 different random 64-bit results. The offset must be in the range [0, 56). static auto SampleRandomData(ssize_t offset) -> uint64_t { CARBON_DCHECK(offset + sizeof(uint64_t) < sizeof(StaticRandomData)); uint64_t data; memcpy(&data, reinterpret_cast(&StaticRandomData) + offset, sizeof(data)); return data; } // Random data taken from the hexadecimal digits of Pi's fractional component, // written in lexical order for convenience of reading. The resulting // byte-stream will be different due to little-endian integers. These can be // used directly for convenience rather than calling `SampleRandomData`, but // be aware that this is the underlying pool. The goal is to reuse the same // single cache-line of constant data. // // The initializers here can be generated with the following shell script, // which will generate 8 64-bit values and one more digit. The `bc` command's // decimal based scaling means that without getting at least some extra hex // digits rendered there will be rounding that we don't want so the script // below goes on to produce one more hex digit ensuring the 8 initializers // aren't rounded in any way. Using a higher scale won't cause the 8 // initializers here to change further. // // ```sh // echo 'obase=16; scale=155; 4*a(1)' | env BC_LINE_LENGTH=500 bc -l \ // | cut -c 3- | tr '[:upper:]' '[:lower:]' \ // | sed -e "s/.\{4\}/&'/g" \ // | sed -e "s/\(.\{4\}'.\{4\}'.\{4\}'.\{4\}\)'/0x\1,\n/g" // ``` static inline constexpr std::array StaticRandomData = { 0x243f'6a88'85a3'08d3, 0x1319'8a2e'0370'7344, 0xa409'3822'299f'31d0, 0x082e'fa98'ec4e'6c89, 0x4528'21e6'38d0'1377, 0xbe54'66cf'34e9'0c6c, 0xc0ac'29b7'c97c'50dd, 0x3f84'd5b5'b547'0917, }; // We need a multiplicative hashing constant for both 64-bit multiplicative // hashing fast paths and some other 128-bit folded multiplies. We use an // empirically better constant compared to Knuth's, Rust's FxHash, and others // we've tried. It was found by a search of uniformly distributed odd numbers // and examining them for desirable properties when used as a multiplicative // hash, however our search seems largely to have been lucky rather than // having a highly effective set of criteria. We evaluated this constant by // integrating this hash function with a hashtable and looking at the // collision rates of several different but very fundamental patterns of keys: // integers counting from 0, pointers allocated on the heap, and strings with // character and size distributions matching C-style ASCII identifiers. // Different constants found with this search worked better or less well, but // fairly consistently across the different types of keys. At the end, far and // away the best behaved constant we found was one of the first ones in the // search and is what we use here. // // For reference, some other constants include one derived by diving 2^64 by // Phi: 0x9e37'79b9'7f4a'7c15U -- see these sites for details: // https://probablydance.com/2018/06/16/fibonacci-hashing-the-optimization-that-the-world-forgot-or-a-better-alternative-to-integer-modulo/ // https://book.huihoo.com/data-structures-and-algorithms-with-object-oriented-design-patterns-in-c++/html/page214.html // // Another very good constant derived by minimizing repeating bit patterns is // 0xdcb2'2ca6'8cb1'34edU and its bit-reversed form. However, this constant // has observed frequent issues at roughly 4k pointer keys, connected to a // common hashtable seed also being a pointer. These issues appear to occur // both more often and have a larger impact relative to the number of keys // than the rare cases where some combinations of pointer seeds and pointer // keys create minor quality issues with the constant we use. static constexpr uint64_t MulConstant = 0x7924'f9e0'de1e'8cf5U; private: uint64_t buffer; }; // A dedicated namespace for `CarbonHashValue` overloads that are not found by // ADL with their associated types. For example, primitive type overloads or // overloads for types in LLVM's libraries. // // Note that these are internal implementation details and **not** part of the // public API. They should not be used directly by client code. namespace InternalHashDispatch { inline auto CarbonHashValue(llvm::ArrayRef bytes, uint64_t seed) -> HashCode { Hasher hasher(seed); hasher.HashSizedBytes(bytes); return static_cast(hasher); } // Hashing implementation for `llvm::StringRef`. We forward all the other // string-like types that support heterogeneous lookup to this one. inline auto CarbonHashValue(llvm::StringRef value, uint64_t seed) -> HashCode { return CarbonHashValue( llvm::ArrayRef(reinterpret_cast(value.data()), value.size()), seed); } inline auto CarbonHashValue(std::string_view value, uint64_t seed) -> HashCode { return CarbonHashValue(llvm::StringRef(value.data(), value.size()), seed); } inline auto CarbonHashValue(const std::string& value, uint64_t seed) -> HashCode { return CarbonHashValue(llvm::StringRef(value.data(), value.size()), seed); } template inline auto CarbonHashValue(const llvm::SmallString& value, uint64_t seed) -> HashCode { return CarbonHashValue(llvm::StringRef(value.data(), value.size()), seed); } // C++ guarantees this is true for the unsigned variants, but we require it for // signed variants and pointers. static_assert(std::has_unique_object_representations_v); static_assert(std::has_unique_object_representations_v); static_assert(std::has_unique_object_representations_v); static_assert(std::has_unique_object_representations_v); static_assert(std::has_unique_object_representations_v); // C++ uses `std::nullptr_t` but unfortunately doesn't make it have a unique // object representation. To address that, we need a function that converts // `nullptr` back into a `void*` that will have a unique object representation. // And this needs to be done by-value as we need to build a temporary object to // return, which requires a separate overload rather than just using a type // function that could be used in parallel in the predicate below. Instead, we // build the predicate independently of the mapping overload, but together they // should produce the correct result. template inline auto MapNullPtrToVoidPtr(const T& value) -> const T& { // This overload should never be selected for `std::nullptr_t`, so // static_assert to get some better compiler error messages. static_assert(!std::same_as); return value; } inline auto MapNullPtrToVoidPtr(std::nullptr_t /*value*/) -> const void* { return nullptr; } // Implementation detail predicate to be used in conjunction with a `nullptr` // mapping routine like the above. template concept NullPtrOrHasUniqueObjectRepresentations = std::same_as || std::has_unique_object_representations_v; template requires NullPtrOrHasUniqueObjectRepresentations inline auto CarbonHashValue(const T& value, uint64_t seed) -> HashCode { Hasher hasher(seed); hasher.Hash(MapNullPtrToVoidPtr(value)); return static_cast(hasher); } template requires(... && NullPtrOrHasUniqueObjectRepresentations) inline auto CarbonHashValue(const std::tuple& value, uint64_t seed) -> HashCode { Hasher hasher(seed); std::apply( [&](const auto&... args) { hasher.Hash(MapNullPtrToVoidPtr(args)...); }, value); return static_cast(hasher); } template requires NullPtrOrHasUniqueObjectRepresentations && NullPtrOrHasUniqueObjectRepresentations && (sizeof(T) <= sizeof(uint64_t) && sizeof(U) <= sizeof(uint64_t)) inline auto CarbonHashValue(const std::pair& value, uint64_t seed) -> HashCode { return CarbonHashValue(std::tuple(value.first, value.second), seed); } template requires std::has_unique_object_representations_v inline auto CarbonHashValue(llvm::ArrayRef objs, uint64_t seed) -> HashCode { return CarbonHashValue( llvm::ArrayRef(reinterpret_cast(objs.data()), objs.size() * sizeof(T)), seed); } template inline auto DispatchImpl(const T& value, uint64_t seed) -> HashCode { // This unqualified call will find both the overloads in this namespace and // ADL-found functions in an associated namespace of `T`. return CarbonHashValue(value, seed); } } // namespace InternalHashDispatch template inline auto HashValue(const T& value, uint64_t seed) -> HashCode { return InternalHashDispatch::DispatchImpl(value, seed); } template inline auto HashValue(const T& value) -> HashCode { // When a seed isn't provided, use the last 64-bit chunk of random data. Other // chunks (especially the first) are more often XOR-ed with the seed and risk // cancelling each other out and feeding a zero to a `Mix` call in a way that // sharply increasing collisions. return HashValue(value, Hasher::StaticRandomData[7]); } inline constexpr auto HashCode::ExtractIndex() -> ssize_t { return value_; } template inline constexpr auto HashCode::ExtractIndexAndTag() -> std::pair { static_assert(N >= 1); static_assert(N <= 32); return {static_cast(value_ >> N), static_cast(value_ & ((1U << (N + 1)) - 1))}; } // Building with `-DCARBON_MCA_MARKERS` will enable `llvm-mca` annotations in // the source code. These can interfere with optimization, but allows analyzing // the generated `.s` file with the `llvm-mca` tool. Documentation for these // markers is here: // https://llvm.org/docs/CommandGuide/llvm-mca.html#using-markers-to-analyze-specific-code-blocks #if CARBON_MCA_MARKERS #define CARBON_MCA_BEGIN(NAME) \ __asm volatile("# LLVM-MCA-BEGIN " NAME "" ::: "memory"); #define CARBON_MCA_END(NAME) \ __asm volatile("# LLVM-MCA-END " NAME "" ::: "memory"); #else #define CARBON_MCA_BEGIN(NAME) #define CARBON_MCA_END(NAME) #endif inline auto Hasher::Read1(const std::byte* data) -> uint64_t { uint8_t result; std::memcpy(&result, data, sizeof(result)); return result; } inline auto Hasher::Read2(const std::byte* data) -> uint64_t { uint16_t result; std::memcpy(&result, data, sizeof(result)); return result; } inline auto Hasher::Read4(const std::byte* data) -> uint64_t { uint32_t result; std::memcpy(&result, data, sizeof(result)); return result; } inline auto Hasher::Read8(const std::byte* data) -> uint64_t { uint64_t result; std::memcpy(&result, data, sizeof(result)); return result; } inline auto Hasher::Read1To3(const std::byte* data, ssize_t size) -> uint64_t { // Use carefully crafted indexing to avoid branches on the exact size while // reading. uint64_t byte0 = static_cast(data[0]); uint64_t byte1 = static_cast(data[size - 1]); uint64_t byte2 = static_cast(data[size >> 1]); return byte0 | (byte1 << 16) | (byte2 << 8); } inline auto Hasher::Read4To8(const std::byte* data, ssize_t size) -> uint64_t { uint32_t low; std::memcpy(&low, data, sizeof(low)); uint32_t high; std::memcpy(&high, data + size - sizeof(high), sizeof(high)); return low | (static_cast(high) << 32); } inline auto Hasher::Read8To16(const std::byte* data, ssize_t size) -> std::pair { uint64_t low; std::memcpy(&low, data, sizeof(low)); uint64_t high; std::memcpy(&high, data + size - sizeof(high), sizeof(high)); return {low, high}; } inline auto Hasher::Mix(uint64_t lhs, uint64_t rhs) -> uint64_t { // Use the C23 extended integer support that Clang provides as a general // language extension. using U128 = unsigned _BitInt(128); U128 result = static_cast(lhs) * static_cast(rhs); return static_cast(result) ^ static_cast(result >> 64); } inline auto Hasher::WeakMix(uint64_t value) -> uint64_t { value *= MulConstant; #ifdef __ARM_ACLE // Arm has a fast bit-reversal that gives us the optimal distribution. value = __rbitll(value); #else // Otherwise, assume an optimized BSWAP such as x86's. That's close enough. value = __builtin_bswap64(value); #endif return value; } inline auto Hasher::HashDense(uint64_t data) -> void { // When hashing exactly one 64-bit entity use the Phi-derived constant as this // is just multiplicative hashing. The initial buffer is mixed on input to // pipeline with materializing the constant. buffer = Mix(data ^ buffer, MulConstant); } inline auto Hasher::HashDense(uint64_t data0, uint64_t data1) -> void { // When hashing two chunks of data at the same time, we XOR it with random // data to avoid common inputs from having especially bad multiplicative // effects. We also XOR in the starting buffer as seed or to chain. Note that // we don't use *consecutive* random data 64-bit values to avoid a common // compiler "optimization" of loading both 64-bit chunks into a 128-bit vector // and doing the XOR in the vector unit. The latency of extracting the data // afterward eclipses any benefit. Callers will routinely have two consecutive // data values here, but using non-consecutive keys avoids any vectorization // being tempting. // // XOR-ing both the incoming state and a random word over the second data is // done to pipeline with materializing the constants and is observed to have // better performance than XOR-ing after the mix. // // This roughly matches the mix pattern used in the larger mixing routines // from Abseil, which is a more minimal form than used in other algorithms // such as AHash and seems adequate for latency-optimized use cases. buffer = Mix(data0 ^ StaticRandomData[1], data1 ^ StaticRandomData[3] ^ buffer); } template requires std::has_unique_object_representations_v && (sizeof(T) <= 8) inline auto Hasher::ReadSmall(const T& value) -> uint64_t { const auto* storage = reinterpret_cast(&value); if constexpr (sizeof(T) == 1) { return Read1(storage); } else if constexpr (sizeof(T) == 2) { return Read2(storage); } else if constexpr (sizeof(T) == 3) { return Read2(storage) | (Read1(&storage[2]) << 16); } else if constexpr (sizeof(T) == 4) { return Read4(storage); } else if constexpr (sizeof(T) == 5) { return Read4(storage) | (Read1(&storage[4]) << 32); } else if constexpr (sizeof(T) == 6 || sizeof(T) == 7) { // Use overlapping 4-byte reads for 6 and 7 bytes. return Read4(storage) | (Read4(&storage[sizeof(T) - 4]) << 32); } else if constexpr (sizeof(T) == 8) { return Read8(storage); } else { static_assert(sizeof(T) <= 8); } } template requires std::has_unique_object_representations_v inline auto Hasher::Hash(const T& value) -> void { if constexpr (sizeof(T) <= 8) { // For types size 8-bytes and smaller directly being hashed (as opposed to // 8-bytes potentially bit-packed with data), we rarely expect the incoming // data to fully and densely populate all 8 bytes. For these cases we have a // `WeakMix` routine that is lower latency but lower quality. CARBON_MCA_BEGIN("fixed-8b"); buffer = WeakMix(buffer ^ ReadSmall(value)); CARBON_MCA_END("fixed-8b"); return; } const auto* data_ptr = reinterpret_cast(&value); if constexpr (8 < sizeof(T) && sizeof(T) <= 16) { CARBON_MCA_BEGIN("fixed-16b"); auto values = Read8To16(data_ptr, sizeof(T)); HashDense(values.first, values.second); CARBON_MCA_END("fixed-16b"); return; } if constexpr (16 < sizeof(T) && sizeof(T) <= 32) { CARBON_MCA_BEGIN("fixed-32b"); // Essentially the same technique used for dynamically sized byte sequences // of this size, but we start with a fixed XOR of random data. buffer ^= StaticRandomData[0]; uint64_t m0 = Mix(Read8(data_ptr) ^ StaticRandomData[1], Read8(data_ptr + 8) ^ buffer); const std::byte* tail_16b_ptr = data_ptr + (sizeof(T) - 16); uint64_t m1 = Mix(Read8(tail_16b_ptr) ^ StaticRandomData[3], Read8(tail_16b_ptr + 8) ^ buffer); buffer = m0 ^ m1; CARBON_MCA_END("fixed-32b"); return; } // Hashing the size isn't relevant here, but is harmless, so fall back to a // common code path. HashSizedBytesLarge(llvm::ArrayRef(data_ptr, sizeof(T))); } template requires(... && std::has_unique_object_representations_v) inline auto Hasher::Hash(const Ts&... value) -> void { if constexpr (sizeof...(Ts) == 0) { buffer ^= StaticRandomData[0]; return; } if constexpr (sizeof...(Ts) == 1) { Hash(value...); return; } if constexpr ((... && (sizeof(Ts) <= 8))) { if constexpr (sizeof...(Ts) == 2) { HashDense(ReadSmall(value)...); return; } // More than two, but all small -- read each one into a contiguous buffer of // data. This may be a bit memory wasteful by padding everything out to // 8-byte chunks, but for that regularity the hashing is likely faster. const uint64_t data[] = {ReadSmall(value)...}; Hash(data); return; } // For larger objects, hash each one down to a hash code and then hash those // as a buffer. const uint64_t data[] = {static_cast(HashValue(value))...}; Hash(data); } inline auto Hasher::HashSizedBytes(llvm::ArrayRef bytes) -> void { const std::byte* data_ptr = bytes.data(); const ssize_t size = bytes.size(); // First handle short sequences under 8 bytes. We distribute the branches a // bit for short strings. if (size <= 8) { if (size >= 4) { CARBON_MCA_BEGIN("dynamic-8b"); uint64_t data = Read4To8(data_ptr, size); // We optimize for latency on short strings by hashing both the data and // size in a single multiply here, using the small nature of size to // sample a specific sequence of bytes with well distributed bits into one // side of the multiply. This results in a *statistically* weak hash // function, but one with very low latency. // // Note that we don't drop to the `WeakMix` routine here because we want // to use sampled random data to encode the size, which may not be as // effective without the full 128-bit folded result. buffer = Mix(data ^ buffer, SampleRandomData(size)); CARBON_MCA_END("dynamic-8b"); return; } // When we only have 0-3 bytes of string, we can avoid the cost of `Mix`. // Instead, for empty strings we can just XOR some of our data against the // existing buffer. For 1-3 byte lengths we do 3 one-byte reads adjusted to // always read in-bounds without branching. Then we OR the size into the 4th // byte and use `WeakMix`. CARBON_MCA_BEGIN("dynamic-4b"); if (size == 0) { buffer ^= StaticRandomData[0]; } else { uint64_t data = Read1To3(data_ptr, size) | size << 24; buffer = WeakMix(data); } CARBON_MCA_END("dynamic-4b"); return; } if (size <= 16) { CARBON_MCA_BEGIN("dynamic-16b"); // Similar to the above, we optimize primarily for latency here and spread // the incoming data across both ends of the multiply. Note that this does // have a drawback -- any time one half of the mix function becomes zero it // will fail to incorporate any bits from the other half. However, there is // exactly 1 in 2^64 values for each side that achieve this, and only when // the size is exactly 16 -- for smaller sizes there is an overlapping byte // that makes this impossible unless the seed is *also* incredibly unlucky. // // Because this hash function makes no attempt to defend against hash // flooding, we accept this risk in order to keep the latency low. If this // becomes a non-flooding problem, we can restrict the size to <16 and send // the 16-byte case down the next tier of cost. uint64_t size_hash = SampleRandomData(size); auto data = Read8To16(data_ptr, size); buffer = Mix(data.first ^ size_hash, data.second ^ buffer); CARBON_MCA_END("dynamic-16b"); return; } if (size <= 32) { CARBON_MCA_BEGIN("dynamic-32b"); // Do two mixes of overlapping 16-byte ranges in parallel to minimize // latency. We also incorporate the size by sampling random data into the // seed before both. buffer ^= SampleRandomData(size); uint64_t m0 = Mix(Read8(data_ptr) ^ StaticRandomData[1], Read8(data_ptr + 8) ^ buffer); const std::byte* tail_16b_ptr = data_ptr + (size - 16); uint64_t m1 = Mix(Read8(tail_16b_ptr) ^ StaticRandomData[3], Read8(tail_16b_ptr + 8) ^ buffer); // Just an XOR mix at the end is quite weak here, but we prefer that for // latency over a more robust approach. Doing another mix with the size (the // way longer string hashing does) increases the latency on x86-64 // significantly (approx. 20%). buffer = m0 ^ m1; CARBON_MCA_END("dynamic-32b"); return; } HashSizedBytesLarge(bytes); } } // namespace Carbon #endif // CARBON_COMMON_HASHING_H_