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Austin Schuh745610d2015-09-06 18:19:50 -07001// -*- Mode: C++; c-basic-offset: 2; indent-tabs-mode: nil -*-
2// Copyright (c) 2007, Google Inc.
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30
31// ---
32// Author: Geoff Pike
33//
34// This file provides a minimal cache that can hold a <key, value> pair
35// with little if any wasted space. The types of the key and value
36// must be unsigned integral types or at least have unsigned semantics
37// for >>, casting, and similar operations.
38//
39// Synchronization is not provided. However, the cache is implemented
40// as an array of cache entries whose type is chosen at compile time.
41// If a[i] is atomic on your hardware for the chosen array type then
42// raciness will not necessarily lead to bugginess. The cache entries
43// must be large enough to hold a partial key and a value packed
44// together. The partial keys are bit strings of length
45// kKeybits - kHashbits, and the values are bit strings of length kValuebits.
46//
47// In an effort to use minimal space, every cache entry represents
48// some <key, value> pair; the class provides no way to mark a cache
49// entry as empty or uninitialized. In practice, you may want to have
50// reserved keys or values to get around this limitation. For example, in
51// tcmalloc's PageID-to-sizeclass cache, a value of 0 is used as
52// "unknown sizeclass."
53//
54// Usage Considerations
55// --------------------
56//
57// kHashbits controls the size of the cache. The best value for
58// kHashbits will of course depend on the application. Perhaps try
59// tuning the value of kHashbits by measuring different values on your
60// favorite benchmark. Also remember not to be a pig; other
61// programs that need resources may suffer if you are.
62//
63// The main uses for this class will be when performance is
64// critical and there's a convenient type to hold the cache's
65// entries. As described above, the number of bits required
66// for a cache entry is (kKeybits - kHashbits) + kValuebits. Suppose
67// kKeybits + kValuebits is 43. Then it probably makes sense to
68// chose kHashbits >= 11 so that cache entries fit in a uint32.
69//
70// On the other hand, suppose kKeybits = kValuebits = 64. Then
71// using this class may be less worthwhile. You'll probably
72// be using 128 bits for each entry anyway, so maybe just pick
73// a hash function, H, and use an array indexed by H(key):
74// void Put(K key, V value) { a_[H(key)] = pair<K, V>(key, value); }
75// V GetOrDefault(K key, V default) { const pair<K, V> &p = a_[H(key)]; ... }
76// etc.
77//
78// Further Details
79// ---------------
80//
81// For caches used only by one thread, the following is true:
82// 1. For a cache c,
83// (c.Put(key, value), c.GetOrDefault(key, 0)) == value
84// and
85// (c.Put(key, value), <...>, c.GetOrDefault(key, 0)) == value
86// if the elided code contains no c.Put calls.
87//
88// 2. Has(key) will return false if no <key, value> pair with that key
89// has ever been Put. However, a newly initialized cache will have
90// some <key, value> pairs already present. When you create a new
91// cache, you must specify an "initial value." The initialization
92// procedure is equivalent to Clear(initial_value), which is
93// equivalent to Put(k, initial_value) for all keys k from 0 to
94// 2^kHashbits - 1.
95//
96// 3. If key and key' differ then the only way Put(key, value) may
97// cause Has(key') to change is that Has(key') may change from true to
98// false. Furthermore, a Put() call that doesn't change Has(key')
99// doesn't change GetOrDefault(key', ...) either.
100//
101// Implementation details:
102//
103// This is a direct-mapped cache with 2^kHashbits entries; the hash
104// function simply takes the low bits of the key. We store whole keys
105// if a whole key plus a whole value fits in an entry. Otherwise, an
106// entry is the high bits of a key and a value, packed together.
107// E.g., a 20 bit key and a 7 bit value only require a uint16 for each
108// entry if kHashbits >= 11.
109//
110// Alternatives to this scheme will be added as needed.
111
112#ifndef TCMALLOC_PACKED_CACHE_INL_H_
113#define TCMALLOC_PACKED_CACHE_INL_H_
114
115#include "config.h"
116#include <stddef.h> // for size_t
117#ifdef HAVE_STDINT_H
118#include <stdint.h> // for uintptr_t
119#endif
120#include "base/basictypes.h"
121#include "internal_logging.h"
122
123// A safe way of doing "(1 << n) - 1" -- without worrying about overflow
124// Note this will all be resolved to a constant expression at compile-time
125#define N_ONES_(IntType, N) \
126 ( (N) == 0 ? 0 : ((static_cast<IntType>(1) << ((N)-1))-1 + \
127 (static_cast<IntType>(1) << ((N)-1))) )
128
129// The types K and V provide upper bounds on the number of valid keys
130// and values, but we explicitly require the keys to be less than
131// 2^kKeybits and the values to be less than 2^kValuebits. The size of
132// the table is controlled by kHashbits, and the type of each entry in
133// the cache is T. See also the big comment at the top of the file.
134template <int kKeybits, typename T>
135class PackedCache {
136 public:
137 typedef uintptr_t K;
138 typedef size_t V;
139#ifdef TCMALLOC_SMALL_BUT_SLOW
140 // Decrease the size map cache if running in the small memory mode.
141 static const int kHashbits = 12;
142#else
143 static const int kHashbits = 16;
144#endif
145 static const int kValuebits = 7;
146 static const bool kUseWholeKeys = kKeybits + kValuebits <= 8 * sizeof(T);
147
148 explicit PackedCache(V initial_value) {
149 COMPILE_ASSERT(kKeybits <= sizeof(K) * 8, key_size);
150 COMPILE_ASSERT(kValuebits <= sizeof(V) * 8, value_size);
151 COMPILE_ASSERT(kHashbits <= kKeybits, hash_function);
152 COMPILE_ASSERT(kKeybits - kHashbits + kValuebits <= kTbits,
153 entry_size_must_be_big_enough);
154 Clear(initial_value);
155 }
156
157 void Put(K key, V value) {
158 ASSERT(key == (key & kKeyMask));
159 ASSERT(value == (value & kValueMask));
160 array_[Hash(key)] = KeyToUpper(key) | value;
161 }
162
163 bool Has(K key) const {
164 ASSERT(key == (key & kKeyMask));
165 return KeyMatch(array_[Hash(key)], key);
166 }
167
168 V GetOrDefault(K key, V default_value) const {
169 // As with other code in this class, we touch array_ as few times
170 // as we can. Assuming entries are read atomically (e.g., their
171 // type is uintptr_t on most hardware) then certain races are
172 // harmless.
173 ASSERT(key == (key & kKeyMask));
174 T entry = array_[Hash(key)];
175 return KeyMatch(entry, key) ? EntryToValue(entry) : default_value;
176 }
177
178 void Clear(V value) {
179 ASSERT(value == (value & kValueMask));
180 for (int i = 0; i < 1 << kHashbits; i++) {
181 ASSERT(kUseWholeKeys || KeyToUpper(i) == 0);
182 array_[i] = kUseWholeKeys ? (value | KeyToUpper(i)) : value;
183 }
184 }
185
186 private:
187 // We are going to pack a value and the upper part of a key (or a
188 // whole key) into an entry of type T. The UPPER type is for the
189 // upper part of a key, after the key has been masked and shifted
190 // for inclusion in an entry.
191 typedef T UPPER;
192
193 static V EntryToValue(T t) { return t & kValueMask; }
194
195 // If we have space for a whole key, we just shift it left.
196 // Otherwise kHashbits determines where in a K to find the upper
197 // part of the key, and kValuebits determines where in the entry to
198 // put it.
199 static UPPER KeyToUpper(K k) {
200 if (kUseWholeKeys) {
201 return static_cast<T>(k) << kValuebits;
202 } else {
203 const int shift = kHashbits - kValuebits;
204 // Assume kHashbits >= kValuebits. It'd be easy to lift this assumption.
205 return static_cast<T>(k >> shift) & kUpperMask;
206 }
207 }
208
209 static size_t Hash(K key) {
210 return static_cast<size_t>(key) & N_ONES_(size_t, kHashbits);
211 }
212
213 // Does the entry match the relevant part of the given key?
214 static bool KeyMatch(T entry, K key) {
215 return kUseWholeKeys ?
216 (entry >> kValuebits == key) :
217 ((KeyToUpper(key) ^ entry) & kUpperMask) == 0;
218 }
219
220 static const int kTbits = 8 * sizeof(T);
221 static const int kUpperbits = kUseWholeKeys ? kKeybits : kKeybits - kHashbits;
222
223 // For masking a K.
224 static const K kKeyMask = N_ONES_(K, kKeybits);
225
226 // For masking a T.
227 static const T kUpperMask = N_ONES_(T, kUpperbits) << kValuebits;
228
229 // For masking a V or a T.
230 static const V kValueMask = N_ONES_(V, kValuebits);
231
232 // array_ is the cache. Its elements are volatile because any
233 // thread can write any array element at any time.
234 volatile T array_[1 << kHashbits];
235};
236
237#undef N_ONES_
238
239#endif // TCMALLOC_PACKED_CACHE_INL_H_