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1// Copyright (c) 2007, Google Inc.
2// All rights reserved.
3//
4// Redistribution and use in source and binary forms, with or without
5// modification, are permitted provided that the following conditions are
6// met:
7//
8// * Redistributions of source code must retain the above copyright
9// notice, this list of conditions and the following disclaimer.
10// * Redistributions in binary form must reproduce the above
11// copyright notice, this list of conditions and the following disclaimer
12// in the documentation and/or other materials provided with the
13// distribution.
14// * Neither the name of Google Inc. nor the names of its
15// contributors may be used to endorse or promote products derived from
16// this software without specific prior written permission.
17//
18// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
19// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
20// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
21// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
22// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
23// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
24// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
25// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
26// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
27// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
28// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
29
30// ---
31// Author: Geoff Pike
32//
33// This file provides a minimal cache that can hold a <key, value> pair
34// with little if any wasted space. The types of the key and value
35// must be unsigned integral types or at least have unsigned semantics
36// for >>, casting, and similar operations.
37//
38// Synchronization is not provided. However, the cache is implemented
39// as an array of cache entries whose type is chosen at compile time.
40// If a[i] is atomic on your hardware for the chosen array type then
41// raciness will not necessarily lead to bugginess. The cache entries
42// must be large enough to hold a partial key and a value packed
43// together. The partial keys are bit strings of length
44// kKeybits - kHashbits, and the values are bit strings of length kValuebits.
45//
46// In an effort to use minimal space, every cache entry represents
47// some <key, value> pair; the class provides no way to mark a cache
48// entry as empty or uninitialized. In practice, you may want to have
49// reserved keys or values to get around this limitation. For example, in
50// tcmalloc's PageID-to-sizeclass cache, a value of 0 is used as
51// "unknown sizeclass."
52//
53// Usage Considerations
54// --------------------
55//
56// kHashbits controls the size of the cache. The best value for
57// kHashbits will of course depend on the application. Perhaps try
58// tuning the value of kHashbits by measuring different values on your
59// favorite benchmark. Also remember not to be a pig; other
60// programs that need resources may suffer if you are.
61//
62// The main uses for this class will be when performance is
63// critical and there's a convenient type to hold the cache's
64// entries. As described above, the number of bits required
65// for a cache entry is (kKeybits - kHashbits) + kValuebits. Suppose
66// kKeybits + kValuebits is 43. Then it probably makes sense to
67// chose kHashbits >= 11 so that cache entries fit in a uint32.
68//
69// On the other hand, suppose kKeybits = kValuebits = 64. Then
70// using this class may be less worthwhile. You'll probably
71// be using 128 bits for each entry anyway, so maybe just pick
72// a hash function, H, and use an array indexed by H(key):
73// void Put(K key, V value) { a_[H(key)] = pair<K, V>(key, value); }
74// V GetOrDefault(K key, V default) { const pair<K, V> &p = a_[H(key)]; ... }
75// etc.
76//
77// Further Details
78// ---------------
79//
80// For caches used only by one thread, the following is true:
81// 1. For a cache c,
82// (c.Put(key, value), c.GetOrDefault(key, 0)) == value
83// and
84// (c.Put(key, value), <...>, c.GetOrDefault(key, 0)) == value
85// if the elided code contains no c.Put calls.
86//
87// 2. Has(key) will return false if no <key, value> pair with that key
88// has ever been Put. However, a newly initialized cache will have
89// some <key, value> pairs already present. When you create a new
90// cache, you must specify an "initial value." The initialization
91// procedure is equivalent to Clear(initial_value), which is
92// equivalent to Put(k, initial_value) for all keys k from 0 to
93// 2^kHashbits - 1.
94//
95// 3. If key and key' differ then the only way Put(key, value) may
96// cause Has(key') to change is that Has(key') may change from true to
97// false. Furthermore, a Put() call that doesn't change Has(key')
98// doesn't change GetOrDefault(key', ...) either.
99//
100// Implementation details:
101//
102// This is a direct-mapped cache with 2^kHashbits entries;
103// the hash function simply takes the low bits of the key.
104// So, we don't have to store the low bits of the key in the entries.
105// Instead, an entry is the high bits of a key and a value, packed
106// together. E.g., a 20 bit key and a 7 bit value only require
107// a uint16 for each entry if kHashbits >= 11.
108//
109// Alternatives to this scheme will be added as needed.
110
111#ifndef TCMALLOC_PACKED_CACHE_INL_H__
112#define TCMALLOC_PACKED_CACHE_INL_H__
113
114#ifndef WTF_CHANGES
115#include "base/basictypes.h" // for COMPILE_ASSERT
116#include "base/logging.h" // for DCHECK
117#endif
118
119#ifndef DCHECK_EQ
120#define DCHECK_EQ(val1, val2) ASSERT((val1) == (val2))
121#endif
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 static const size_t kHashbits = 12;
140 static const size_t kValuebits = 8;
141
142 explicit PackedCache(V initial_value) {
143 COMPILE_ASSERT(kKeybits <= sizeof(K) * 8, key_size);
144 COMPILE_ASSERT(kValuebits <= sizeof(V) * 8, value_size);
145 COMPILE_ASSERT(kHashbits <= kKeybits, hash_function);
146 COMPILE_ASSERT(kKeybits - kHashbits + kValuebits <= kTbits,
147 entry_size_must_be_big_enough);
148 Clear(initial_value);
149 }
150
151 void Put(K key, V value) {
152 DCHECK_EQ(key, key & kKeyMask);
153 DCHECK_EQ(value, value & kValueMask);
154 array_[Hash(key)] = static_cast<T>(KeyToUpper(key) | value);
155 }
156
157 bool Has(K key) const {
158 DCHECK_EQ(key, key & kKeyMask);
159 return KeyMatch(array_[Hash(key)], key);
160 }
161
162 V GetOrDefault(K key, V default_value) const {
163 // As with other code in this class, we touch array_ as few times
164 // as we can. Assuming entries are read atomically (e.g., their
165 // type is uintptr_t on most hardware) then certain races are
166 // harmless.
167 DCHECK_EQ(key, key & kKeyMask);
168 T entry = array_[Hash(key)];
169 return KeyMatch(entry, key) ? EntryToValue(entry) : default_value;
170 }
171
172 void Clear(V value) {
173 DCHECK_EQ(value, value & kValueMask);
174 for (int i = 0; i < 1 << kHashbits; i++) {
175 array_[i] = static_cast<T>(value);
176 }
177 }
178
179 private:
180 // We are going to pack a value and the upper part of a key into
181 // an entry of type T. The UPPER type is for the upper part of a key,
182 // after the key has been masked and shifted for inclusion in an entry.
183 typedef T UPPER;
184
185 static V EntryToValue(T t) { return t & kValueMask; }
186
187 static UPPER EntryToUpper(T t) { return t & kUpperMask; }
188
189 // If v is a V and u is an UPPER then you can create an entry by
190 // doing u | v. kHashbits determines where in a K to find the upper
191 // part of the key, and kValuebits determines where in the entry to put
192 // it.
193 static UPPER KeyToUpper(K k) {
194 const int shift = kHashbits - kValuebits;
195 // Assume kHashbits >= kValuebits. It would be easy to lift this assumption.
196 return static_cast<T>(k >> shift) & kUpperMask;
197 }
198
199 // This is roughly the inverse of KeyToUpper(). Some of the key has been
200 // thrown away, since KeyToUpper() masks off the low bits of the key.
201 static K UpperToPartialKey(UPPER u) {
202 DCHECK_EQ(u, u & kUpperMask);
203 const int shift = kHashbits - kValuebits;
204 // Assume kHashbits >= kValuebits. It would be easy to lift this assumption.
205 return static_cast<K>(u) << shift;
206 }
207
208 static size_t Hash(K key) {
209 return static_cast<size_t>(key) & N_ONES_(size_t, kHashbits);
210 }
211
212 // Does the entry's partial key match the relevant part of the given key?
213 static bool KeyMatch(T entry, K key) {
214 return ((KeyToUpper(key) ^ entry) & kUpperMask) == 0;
215 }
216
217 static const size_t kTbits = 8 * sizeof(T);
218 static const int kUpperbits = kKeybits - kHashbits;
219
220 // For masking a K.
221 static const K kKeyMask = N_ONES_(K, kKeybits);
222
223 // For masking a T.
224 static const T kUpperMask = N_ONES_(T, kUpperbits) << kValuebits;
225
226 // For masking a V or a T.
227 static const V kValueMask = N_ONES_(V, kValuebits);
228
229 T array_[1 << kHashbits];
230};
231
232#undef N_ONES_
233
234#endif // TCMALLOC_PACKED_CACHE_INL_H__