/* -*- Mode: C++; tab-width: 8; indent-tabs-mode: nil; c-basic-offset: 2 -*- */ /* vim: set ts=8 sts=2 et sw=2 tw=80: */ /* This Source Code Form is subject to the terms of the Mozilla Public * License, v. 2.0. If a copy of the MPL was not distributed with this * file, You can obtain one at http://mozilla.org/MPL/2.0/. */ /* Utilities for hashing. */ /* * This file exports functions for hashing data down to a uint32_t (a.k.a. * mozilla::HashNumber), including: * * - HashString Hash a char* or char16_t/wchar_t* of known or unknown * length. * * - HashBytes Hash a byte array of known length. * * - HashGeneric Hash one or more values. Currently, we support uint32_t, * types which can be implicitly cast to uint32_t, data * pointers, and function pointers. * * - AddToHash Add one or more values to the given hash. This supports the * same list of types as HashGeneric. * * * You can chain these functions together to hash complex objects. For example: * * class ComplexObject * { * char* mStr; * uint32_t mUint1, mUint2; * void (*mCallbackFn)(); * * public: * HashNumber hash() * { * HashNumber hash = HashString(mStr); * hash = AddToHash(hash, mUint1, mUint2); * return AddToHash(hash, mCallbackFn); * } * }; * * If you want to hash an nsAString or nsACString, use the HashString functions * in nsHashKeys.h. */ #ifndef mozilla_HashFunctions_h #define mozilla_HashFunctions_h #include "mozilla/Assertions.h" #include "mozilla/Attributes.h" #include "mozilla/Char16.h" #include "mozilla/MathAlgorithms.h" #include "mozilla/Types.h" #include "mozilla/WrappingOperations.h" #include namespace mozilla { using HashNumber = uint32_t; static const uint32_t kHashNumberBits = 32; /** * The golden ratio as a 32-bit fixed-point value. */ static const HashNumber kGoldenRatioU32 = 0x9E3779B9U; /* * Given a raw hash code, h, return a number that can be used to select a hash * bucket. * * This function aims to produce as uniform an output distribution as possible, * especially in the most significant (leftmost) bits, even though the input * distribution may be highly nonrandom, given the constraints that this must * be deterministic and quick to compute. * * Since the leftmost bits of the result are best, the hash bucket index is * computed by doing ScrambleHashCode(h) / (2^32/N) or the equivalent * right-shift, not ScrambleHashCode(h) % N or the equivalent bit-mask. * * FIXME: OrderedHashTable uses a bit-mask; see bug 775896. */ constexpr HashNumber ScrambleHashCode(HashNumber h) { /* * Simply returning h would not cause any hash tables to produce wrong * answers. But it can produce pathologically bad performance: The caller * right-shifts the result, keeping only the highest bits. The high bits of * hash codes are very often completely entropy-free. (So are the lowest * bits.) * * So we use Fibonacci hashing, as described in Knuth, The Art of Computer * Programming, 6.4. This mixes all the bits of the input hash code h. * * The value of goldenRatio is taken from the hex expansion of the golden * ratio, which starts 1.9E3779B9.... This value is especially good if * values with consecutive hash codes are stored in a hash table; see Knuth * for details. */ return mozilla::WrappingMultiply(h, kGoldenRatioU32); } namespace detail { MOZ_NO_SANITIZE_UNSIGNED_OVERFLOW constexpr HashNumber RotateLeft5(HashNumber aValue) { return (aValue << 5) | (aValue >> 27); } constexpr HashNumber AddU32ToHash(HashNumber aHash, uint32_t aValue) { /* * This is the meat of all our hash routines. This hash function is not * particularly sophisticated, but it seems to work well for our mostly * plain-text inputs. Implementation notes follow. * * Our use of the golden ratio here is arbitrary; we could pick almost any * number which: * * * is odd (because otherwise, all our hash values will be even) * * * has a reasonably-even mix of 1's and 0's (consider the extreme case * where we multiply by 0x3 or 0xeffffff -- this will not produce good * mixing across all bits of the hash). * * The rotation length of 5 is also arbitrary, although an odd number is again * preferable so our hash explores the whole universe of possible rotations. * * Finally, we multiply by the golden ratio *after* xor'ing, not before. * Otherwise, if |aHash| is 0 (as it often is for the beginning of a * message), the expression * * mozilla::WrappingMultiply(kGoldenRatioU32, RotateLeft5(aHash)) * |xor| * aValue * * evaluates to |aValue|. * * (Number-theoretic aside: Because any odd number |m| is relatively prime to * our modulus (2**32), the list * * [x * m (mod 2**32) for 0 <= x < 2**32] * * has no duplicate elements. This means that multiplying by |m| does not * cause us to skip any possible hash values. * * It's also nice if |m| has large-ish order mod 2**32 -- that is, if the * smallest k such that m**k == 1 (mod 2**32) is large -- so we can safely * multiply our hash value by |m| a few times without negating the * multiplicative effect. Our golden ratio constant has order 2**29, which is * more than enough for our purposes.) */ return mozilla::WrappingMultiply(kGoldenRatioU32, RotateLeft5(aHash) ^ aValue); } /** * AddUintptrToHash takes sizeof(uintptr_t) as a template parameter. */ template constexpr HashNumber AddUintptrToHash(HashNumber aHash, uintptr_t aValue) { return AddU32ToHash(aHash, static_cast(aValue)); } template<> inline HashNumber AddUintptrToHash<8>(HashNumber aHash, uintptr_t aValue) { uint32_t v1 = static_cast(aValue); uint32_t v2 = static_cast(static_cast(aValue) >> 32); return AddU32ToHash(AddU32ToHash(aHash, v1), v2); } } /* namespace detail */ /** * AddToHash takes a hash and some values and returns a new hash based on the * inputs. * * Currently, we support hashing uint32_t's, values which we can implicitly * convert to uint32_t, data pointers, and function pointers. */ template::value, typename U = typename mozilla::EnableIf::Type> MOZ_MUST_USE inline HashNumber AddToHash(HashNumber aHash, T aA) { /* * Try to convert |A| to uint32_t implicitly. If this works, great. If not, * we'll error out. */ return detail::AddU32ToHash(aHash, aA); } template MOZ_MUST_USE inline HashNumber AddToHash(HashNumber aHash, A* aA) { /* * You might think this function should just take a void*. But then we'd only * catch data pointers and couldn't handle function pointers. */ static_assert(sizeof(aA) == sizeof(uintptr_t), "Strange pointer!"); return detail::AddUintptrToHash(aHash, uintptr_t(aA)); } // We use AddUintptrToHash() for hashing all integral types. 8-byte integral types // are treated the same as 64-bit pointers, and smaller integral types are first // implicitly converted to 32 bits and then passed to AddUintptrToHash() to be hashed. template::value>::Type> MOZ_MUST_USE constexpr HashNumber AddToHash(HashNumber aHash, T aA) { return detail::AddUintptrToHash(aHash, aA); } template MOZ_MUST_USE HashNumber AddToHash(HashNumber aHash, A aArg, Args... aArgs) { return AddToHash(AddToHash(aHash, aArg), aArgs...); } /** * The HashGeneric class of functions let you hash one or more values. * * If you want to hash together two values x and y, calling HashGeneric(x, y) is * much better than calling AddToHash(x, y), because AddToHash(x, y) assumes * that x has already been hashed. */ template MOZ_MUST_USE inline HashNumber HashGeneric(Args... aArgs) { return AddToHash(0, aArgs...); } namespace detail { template constexpr HashNumber HashUntilZero(const T* aStr) { HashNumber hash = 0; for (; T c = *aStr; aStr++) { hash = AddToHash(hash, c); } return hash; } template HashNumber HashKnownLength(const T* aStr, size_t aLength) { HashNumber hash = 0; for (size_t i = 0; i < aLength; i++) { hash = AddToHash(hash, aStr[i]); } return hash; } } /* namespace detail */ /** * The HashString overloads below do just what you'd expect. * * If you have the string's length, you might as well call the overload which * includes the length. It may be marginally faster. */ MOZ_MUST_USE inline HashNumber HashString(const char* aStr) { return detail::HashUntilZero(reinterpret_cast(aStr)); } MOZ_MUST_USE inline HashNumber HashString(const char* aStr, size_t aLength) { return detail::HashKnownLength(reinterpret_cast(aStr), aLength); } MOZ_MUST_USE inline HashNumber HashString(const unsigned char* aStr, size_t aLength) { return detail::HashKnownLength(aStr, aLength); } // You may need to use the // MOZ_{PUSH,POP}_DISABLE_INTEGRAL_CONSTANT_OVERFLOW_WARNING macros if you use // this function. See the comment on those macros' definitions for more detail. MOZ_MUST_USE constexpr HashNumber HashString(const char16_t* aStr) { return detail::HashUntilZero(aStr); } MOZ_MUST_USE inline HashNumber HashString(const char16_t* aStr, size_t aLength) { return detail::HashKnownLength(aStr, aLength); } /* * On Windows, wchar_t is not the same as char16_t, even though it's * the same width! */ #ifdef WIN32 MOZ_MUST_USE inline HashNumber HashString(const wchar_t* aStr) { return detail::HashUntilZero(aStr); } MOZ_MUST_USE inline HashNumber HashString(const wchar_t* aStr, size_t aLength) { return detail::HashKnownLength(aStr, aLength); } #endif /** * Hash some number of bytes. * * This hash walks word-by-word, rather than byte-by-byte, so you won't get the * same result out of HashBytes as you would out of HashString. */ MOZ_MUST_USE extern MFBT_API HashNumber HashBytes(const void* bytes, size_t aLength); /** * A pseudorandom function mapping 32-bit integers to 32-bit integers. * * This is for when you're feeding private data (like pointer values or credit * card numbers) to a non-crypto hash function (like HashBytes) and then using * the hash code for something that untrusted parties could observe (like a JS * Map). Plug in a HashCodeScrambler before that last step to avoid leaking the * private data. * * By itself, this does not prevent hash-flooding DoS attacks, because an * attacker can still generate many values with exactly equal hash codes by * attacking the non-crypto hash function alone. Equal hash codes will, of * course, still be equal however much you scramble them. * * The algorithm is SipHash-1-3. See . */ class HashCodeScrambler { struct SipHasher; uint64_t mK0, mK1; public: /** Creates a new scrambler with the given 128-bit key. */ constexpr HashCodeScrambler(uint64_t aK0, uint64_t aK1) : mK0(aK0), mK1(aK1) {} /** * Scramble a hash code. Always produces the same result for the same * combination of key and hash code. */ HashNumber scramble(HashNumber aHashCode) const { SipHasher hasher(mK0, mK1); return HashNumber(hasher.sipHash(aHashCode)); } private: struct SipHasher { SipHasher(uint64_t aK0, uint64_t aK1) { // 1. Initialization. mV0 = aK0 ^ UINT64_C(0x736f6d6570736575); mV1 = aK1 ^ UINT64_C(0x646f72616e646f6d); mV2 = aK0 ^ UINT64_C(0x6c7967656e657261); mV3 = aK1 ^ UINT64_C(0x7465646279746573); } uint64_t sipHash(uint64_t aM) { // 2. Compression. mV3 ^= aM; sipRound(); mV0 ^= aM; // 3. Finalization. mV2 ^= 0xff; for (int i = 0; i < 3; i++) sipRound(); return mV0 ^ mV1 ^ mV2 ^ mV3; } void sipRound() { mV0 = WrappingAdd(mV0, mV1); mV1 = RotateLeft(mV1, 13); mV1 ^= mV0; mV0 = RotateLeft(mV0, 32); mV2 = WrappingAdd(mV2, mV3); mV3 = RotateLeft(mV3, 16); mV3 ^= mV2; mV0 = WrappingAdd(mV0, mV3); mV3 = RotateLeft(mV3, 21); mV3 ^= mV0; mV2 = WrappingAdd(mV2, mV1); mV1 = RotateLeft(mV1, 17); mV1 ^= mV2; mV2 = RotateLeft(mV2, 32); } uint64_t mV0, mV1, mV2, mV3; }; }; } /* namespace mozilla */ #endif /* mozilla_HashFunctions_h */