// Copyright (c) 2007, Google Inc. // All rights reserved. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived from // this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // --- // Author: Geoff Pike // // This file provides a minimal cache that can hold a pair // with little if any wasted space. The types of the key and value // must be unsigned integral types or at least have unsigned semantics // for >>, casting, and similar operations. // // Synchronization is not provided. However, the cache is implemented // as an array of cache entries whose type is chosen at compile time. // If a[i] is atomic on your hardware for the chosen array type then // raciness will not necessarily lead to bugginess. The cache entries // must be large enough to hold a partial key and a value packed // together. The partial keys are bit strings of length // kKeybits - kHashbits, and the values are bit strings of length kValuebits. // // In an effort to use minimal space, every cache entry represents // some pair; the class provides no way to mark a cache // entry as empty or uninitialized. In practice, you may want to have // reserved keys or values to get around this limitation. For example, in // tcmalloc's PageID-to-sizeclass cache, a value of 0 is used as // "unknown sizeclass." // // Usage Considerations // -------------------- // // kHashbits controls the size of the cache. The best value for // kHashbits will of course depend on the application. Perhaps try // tuning the value of kHashbits by measuring different values on your // favorite benchmark. Also remember not to be a pig; other // programs that need resources may suffer if you are. // // The main uses for this class will be when performance is // critical and there's a convenient type to hold the cache's // entries. As described above, the number of bits required // for a cache entry is (kKeybits - kHashbits) + kValuebits. Suppose // kKeybits + kValuebits is 43. Then it probably makes sense to // chose kHashbits >= 11 so that cache entries fit in a uint32. // // On the other hand, suppose kKeybits = kValuebits = 64. Then // using this class may be less worthwhile. You'll probably // be using 128 bits for each entry anyway, so maybe just pick // a hash function, H, and use an array indexed by H(key): // void Put(K key, V value) { a_[H(key)] = pair(key, value); } // V GetOrDefault(K key, V default) { const pair &p = a_[H(key)]; ... } // etc. // // Further Details // --------------- // // For caches used only by one thread, the following is true: // 1. For a cache c, // (c.Put(key, value), c.GetOrDefault(key, 0)) == value // and // (c.Put(key, value), <...>, c.GetOrDefault(key, 0)) == value // if the elided code contains no c.Put calls. // // 2. Has(key) will return false if no pair with that key // has ever been Put. However, a newly initialized cache will have // some pairs already present. When you create a new // cache, you must specify an "initial value." The initialization // procedure is equivalent to Clear(initial_value), which is // equivalent to Put(k, initial_value) for all keys k from 0 to // 2^kHashbits - 1. // // 3. If key and key' differ then the only way Put(key, value) may // cause Has(key') to change is that Has(key') may change from true to // false. Furthermore, a Put() call that doesn't change Has(key') // doesn't change GetOrDefault(key', ...) either. // // Implementation details: // // This is a direct-mapped cache with 2^kHashbits entries; the hash // function simply takes the low bits of the key. We store whole keys // if a whole key plus a whole value fits in an entry. Otherwise, an // entry is the high bits of a key and a value, packed together. // E.g., a 20 bit key and a 7 bit value only require a uint16 for each // entry if kHashbits >= 11. // // Alternatives to this scheme will be added as needed. #ifndef TCMALLOC_PACKED_CACHE_INL_H_ #define TCMALLOC_PACKED_CACHE_INL_H_ #include "config.h" #include // for size_t #ifdef HAVE_STDINT_H #include // for uintptr_t #endif #include "base/basictypes.h" #include "internal_logging.h" // A safe way of doing "(1 << n) - 1" -- without worrying about overflow // Note this will all be resolved to a constant expression at compile-time #define N_ONES_(IntType, N) \ ( (N) == 0 ? 0 : ((static_cast(1) << ((N)-1))-1 + \ (static_cast(1) << ((N)-1))) ) // The types K and V provide upper bounds on the number of valid keys // and values, but we explicitly require the keys to be less than // 2^kKeybits and the values to be less than 2^kValuebits. The size of // the table is controlled by kHashbits, and the type of each entry in // the cache is T. See also the big comment at the top of the file. template class PackedCache { public: typedef uintptr_t K; typedef size_t V; #ifdef TCMALLOC_SMALL_BUT_SLOW // Decrease the size map cache if running in the small memory mode. static const int kHashbits = 12; #else static const int kHashbits = 16; #endif static const int kValuebits = 7; static const bool kUseWholeKeys = kKeybits + kValuebits <= 8 * sizeof(T); explicit PackedCache(V initial_value) { COMPILE_ASSERT(kKeybits <= sizeof(K) * 8, key_size); COMPILE_ASSERT(kValuebits <= sizeof(V) * 8, value_size); COMPILE_ASSERT(kHashbits <= kKeybits, hash_function); COMPILE_ASSERT(kKeybits - kHashbits + kValuebits <= kTbits, entry_size_must_be_big_enough); Clear(initial_value); } void Put(K key, V value) { ASSERT(key == (key & kKeyMask)); ASSERT(value == (value & kValueMask)); array_[Hash(key)] = KeyToUpper(key) | value; } bool Has(K key) const { ASSERT(key == (key & kKeyMask)); return KeyMatch(array_[Hash(key)], key); } V GetOrDefault(K key, V default_value) const { // As with other code in this class, we touch array_ as few times // as we can. Assuming entries are read atomically (e.g., their // type is uintptr_t on most hardware) then certain races are // harmless. ASSERT(key == (key & kKeyMask)); T entry = array_[Hash(key)]; return KeyMatch(entry, key) ? EntryToValue(entry) : default_value; } void Clear(V value) { ASSERT(value == (value & kValueMask)); for (int i = 0; i < 1 << kHashbits; i++) { ASSERT(kUseWholeKeys || KeyToUpper(i) == 0); array_[i] = kUseWholeKeys ? (value | KeyToUpper(i)) : value; } } private: // We are going to pack a value and the upper part of a key (or a // whole key) into an entry of type T. The UPPER type is for the // upper part of a key, after the key has been masked and shifted // for inclusion in an entry. typedef T UPPER; static V EntryToValue(T t) { return t & kValueMask; } // If we have space for a whole key, we just shift it left. // Otherwise kHashbits determines where in a K to find the upper // part of the key, and kValuebits determines where in the entry to // put it. static UPPER KeyToUpper(K k) { if (kUseWholeKeys) { return static_cast(k) << kValuebits; } else { const int shift = kHashbits - kValuebits; // Assume kHashbits >= kValuebits. It'd be easy to lift this assumption. return static_cast(k >> shift) & kUpperMask; } } static size_t Hash(K key) { return static_cast(key) & N_ONES_(size_t, kHashbits); } // Does the entry match the relevant part of the given key? static bool KeyMatch(T entry, K key) { return kUseWholeKeys ? (entry >> kValuebits == key) : ((KeyToUpper(key) ^ entry) & kUpperMask) == 0; } static const int kTbits = 8 * sizeof(T); static const int kUpperbits = kUseWholeKeys ? kKeybits : kKeybits - kHashbits; // For masking a K. static const K kKeyMask = N_ONES_(K, kKeybits); // For masking a T. static const T kUpperMask = N_ONES_(T, kUpperbits) << kValuebits; // For masking a V or a T. static const V kValueMask = N_ONES_(V, kValuebits); // array_ is the cache. Its elements are volatile because any // thread can write any array element at any time. volatile T array_[1 << kHashbits]; }; #undef N_ONES_ #endif // TCMALLOC_PACKED_CACHE_INL_H_