• Home
  • Line#
  • Scopes#
  • Navigate#
  • Raw
  • Download
1 // Copyright 2006 The RE2 Authors.  All Rights Reserved.
2 // Use of this source code is governed by a BSD-style
3 // license that can be found in the LICENSE file.
4 
5 #ifndef RE2_SPARSE_ARRAY_H_
6 #define RE2_SPARSE_ARRAY_H_
7 
8 // DESCRIPTION
9 //
10 // SparseArray<T>(m) is a map from integers in [0, m) to T values.
11 // It requires (sizeof(T)+sizeof(int))*m memory, but it provides
12 // fast iteration through the elements in the array and fast clearing
13 // of the array.  The array has a concept of certain elements being
14 // uninitialized (having no value).
15 //
16 // Insertion and deletion are constant time operations.
17 //
18 // Allocating the array is a constant time operation
19 // when memory allocation is a constant time operation.
20 //
21 // Clearing the array is a constant time operation (unusual!).
22 //
23 // Iterating through the array is an O(n) operation, where n
24 // is the number of items in the array (not O(m)).
25 //
26 // The array iterator visits entries in the order they were first
27 // inserted into the array.  It is safe to add items to the array while
28 // using an iterator: the iterator will visit indices added to the array
29 // during the iteration, but will not re-visit indices whose values
30 // change after visiting.  Thus SparseArray can be a convenient
31 // implementation of a work queue.
32 //
33 // The SparseArray implementation is NOT thread-safe.  It is up to the
34 // caller to make sure only one thread is accessing the array.  (Typically
35 // these arrays are temporary values and used in situations where speed is
36 // important.)
37 //
38 // The SparseArray interface does not present all the usual STL bells and
39 // whistles.
40 //
41 // Implemented with reference to Briggs & Torczon, An Efficient
42 // Representation for Sparse Sets, ACM Letters on Programming Languages
43 // and Systems, Volume 2, Issue 1-4 (March-Dec.  1993), pp.  59-69.
44 //
45 // Briggs & Torczon popularized this technique, but it had been known
46 // long before their paper.  They point out that Aho, Hopcroft, and
47 // Ullman's 1974 Design and Analysis of Computer Algorithms and Bentley's
48 // 1986 Programming Pearls both hint at the technique in exercises to the
49 // reader (in Aho & Hopcroft, exercise 2.12; in Bentley, column 1
50 // exercise 8).
51 //
52 // Briggs & Torczon describe a sparse set implementation.  I have
53 // trivially generalized it to create a sparse array (actually the original
54 // target of the AHU and Bentley exercises).
55 
56 // IMPLEMENTATION
57 //
58 // SparseArray is an array dense_ and an array sparse_ of identical size.
59 // At any point, the number of elements in the sparse array is size_.
60 //
61 // The array dense_ contains the size_ elements in the sparse array (with
62 // their indices),
63 // in the order that the elements were first inserted.  This array is dense:
64 // the size_ pairs are dense_[0] through dense_[size_-1].
65 //
66 // The array sparse_ maps from indices in [0,m) to indices in [0,size_).
67 // For indices present in the array, dense_[sparse_[i]].index_ == i.
68 // For indices not present in the array, sparse_ can contain any value at all,
69 // perhaps outside the range [0, size_) but perhaps not.
70 //
71 // The lax requirement on sparse_ values makes clearing the array very easy:
72 // set size_ to 0.  Lookups are slightly more complicated.
73 // An index i has a value in the array if and only if:
74 //   sparse_[i] is in [0, size_) AND
75 //   dense_[sparse_[i]].index_ == i.
76 // If both these properties hold, only then it is safe to refer to
77 //   dense_[sparse_[i]].value_
78 // as the value associated with index i.
79 //
80 // To insert a new entry, set sparse_[i] to size_,
81 // initialize dense_[size_], and then increment size_.
82 //
83 // To make the sparse array as efficient as possible for non-primitive types,
84 // elements may or may not be destroyed when they are deleted from the sparse
85 // array through a call to resize(). They immediately become inaccessible, but
86 // they are only guaranteed to be destroyed when the SparseArray destructor is
87 // called.
88 //
89 // A moved-from SparseArray will be empty.
90 
91 // Doing this simplifies the logic below.
92 #ifndef __has_feature
93 #define __has_feature(x) 0
94 #endif
95 
96 #include <assert.h>
97 #include <stdint.h>
98 #if __has_feature(memory_sanitizer)
99 #include <sanitizer/msan_interface.h>
100 #endif
101 #include <algorithm>
102 #include <memory>
103 #include <utility>
104 
105 #include "re2/pod_array.h"
106 
107 namespace re2 {
108 
109 template<typename Value>
110 class SparseArray {
111  public:
112   SparseArray();
113   explicit SparseArray(int max_size);
114   ~SparseArray();
115 
116   // IndexValue pairs: exposed in SparseArray::iterator.
117   class IndexValue;
118 
119   typedef IndexValue* iterator;
120   typedef const IndexValue* const_iterator;
121 
122   SparseArray(const SparseArray& src);
123   SparseArray(SparseArray&& src);
124 
125   SparseArray& operator=(const SparseArray& src);
126   SparseArray& operator=(SparseArray&& src);
127 
128   // Return the number of entries in the array.
size()129   int size() const {
130     return size_;
131   }
132 
133   // Indicate whether the array is empty.
empty()134   int empty() const {
135     return size_ == 0;
136   }
137 
138   // Iterate over the array.
begin()139   iterator begin() {
140     return dense_.data();
141   }
end()142   iterator end() {
143     return dense_.data() + size_;
144   }
145 
begin()146   const_iterator begin() const {
147     return dense_.data();
148   }
end()149   const_iterator end() const {
150     return dense_.data() + size_;
151   }
152 
153   // Change the maximum size of the array.
154   // Invalidates all iterators.
155   void resize(int new_max_size);
156 
157   // Return the maximum size of the array.
158   // Indices can be in the range [0, max_size).
max_size()159   int max_size() const {
160     if (dense_.data() != NULL)
161       return dense_.size();
162     else
163       return 0;
164   }
165 
166   // Clear the array.
clear()167   void clear() {
168     size_ = 0;
169   }
170 
171   // Check whether index i is in the array.
172   bool has_index(int i) const;
173 
174   // Comparison function for sorting.
175   // Can sort the sparse array so that future iterations
176   // will visit indices in increasing order using
177   // std::sort(arr.begin(), arr.end(), arr.less);
178   static bool less(const IndexValue& a, const IndexValue& b);
179 
180  public:
181   // Set the value at index i to v.
set(int i,const Value & v)182   iterator set(int i, const Value& v) {
183     return SetInternal(true, i, v);
184   }
185 
186   // Set the value at new index i to v.
187   // Fast but unsafe: only use if has_index(i) is false.
set_new(int i,const Value & v)188   iterator set_new(int i, const Value& v) {
189     return SetInternal(false, i, v);
190   }
191 
192   // Set the value at index i to v.
193   // Fast but unsafe: only use if has_index(i) is true.
set_existing(int i,const Value & v)194   iterator set_existing(int i, const Value& v) {
195     return SetExistingInternal(i, v);
196   }
197 
198   // Get the value at index i.
199   // Fast but unsafe: only use if has_index(i) is true.
get_existing(int i)200   Value& get_existing(int i) {
201     assert(has_index(i));
202     return dense_[sparse_[i]].value_;
203   }
get_existing(int i)204   const Value& get_existing(int i) const {
205     assert(has_index(i));
206     return dense_[sparse_[i]].value_;
207   }
208 
209  private:
SetInternal(bool allow_existing,int i,const Value & v)210   iterator SetInternal(bool allow_existing, int i, const Value& v) {
211     DebugCheckInvariants();
212     if (static_cast<uint32_t>(i) >= static_cast<uint32_t>(max_size())) {
213       assert(false && "illegal index");
214       // Semantically, end() would be better here, but we already know
215       // the user did something stupid, so begin() insulates them from
216       // dereferencing an invalid pointer.
217       return begin();
218     }
219     if (!allow_existing) {
220       assert(!has_index(i));
221       create_index(i);
222     } else {
223       if (!has_index(i))
224         create_index(i);
225     }
226     return SetExistingInternal(i, v);
227   }
228 
SetExistingInternal(int i,const Value & v)229   iterator SetExistingInternal(int i, const Value& v) {
230     DebugCheckInvariants();
231     assert(has_index(i));
232     dense_[sparse_[i]].value_ = v;
233     DebugCheckInvariants();
234     return dense_.data() + sparse_[i];
235   }
236 
237   // Add the index i to the array.
238   // Only use if has_index(i) is known to be false.
239   // Since it doesn't set the value associated with i,
240   // this function is private, only intended as a helper
241   // for other methods.
242   void create_index(int i);
243 
244   // In debug mode, verify that some invariant properties of the class
245   // are being maintained. This is called at the end of the constructor
246   // and at the beginning and end of all public non-const member functions.
247   void DebugCheckInvariants() const;
248 
249   // Initializes memory for elements [min, max).
MaybeInitializeMemory(int min,int max)250   void MaybeInitializeMemory(int min, int max) {
251 #if __has_feature(memory_sanitizer)
252     __msan_unpoison(sparse_.data() + min, (max - min) * sizeof sparse_[0]);
253 #elif defined(RE2_ON_VALGRIND)
254     for (int i = min; i < max; i++) {
255       sparse_[i] = 0xababababU;
256     }
257 #endif
258   }
259 
260   int size_ = 0;
261   PODArray<int> sparse_;
262   PODArray<IndexValue> dense_;
263 };
264 
265 template<typename Value>
266 SparseArray<Value>::SparseArray() = default;
267 
268 template<typename Value>
SparseArray(const SparseArray & src)269 SparseArray<Value>::SparseArray(const SparseArray& src)
270     : size_(src.size_),
271       sparse_(src.max_size()),
272       dense_(src.max_size()) {
273   std::copy_n(src.sparse_.data(), src.max_size(), sparse_.data());
274   std::copy_n(src.dense_.data(), src.max_size(), dense_.data());
275 }
276 
277 template<typename Value>
SparseArray(SparseArray && src)278 SparseArray<Value>::SparseArray(SparseArray&& src)
279     : size_(src.size_),
280       sparse_(std::move(src.sparse_)),
281       dense_(std::move(src.dense_)) {
282   src.size_ = 0;
283 }
284 
285 template<typename Value>
286 SparseArray<Value>& SparseArray<Value>::operator=(const SparseArray& src) {
287   // Construct these first for exception safety.
288   PODArray<int> a(src.max_size());
289   PODArray<IndexValue> b(src.max_size());
290 
291   size_ = src.size_;
292   sparse_ = std::move(a);
293   dense_ = std::move(b);
294   std::copy_n(src.sparse_.data(), src.max_size(), sparse_.data());
295   std::copy_n(src.dense_.data(), src.max_size(), dense_.data());
296   return *this;
297 }
298 
299 template<typename Value>
300 SparseArray<Value>& SparseArray<Value>::operator=(SparseArray&& src) {
301   size_ = src.size_;
302   sparse_ = std::move(src.sparse_);
303   dense_ = std::move(src.dense_);
304   src.size_ = 0;
305   return *this;
306 }
307 
308 // IndexValue pairs: exposed in SparseArray::iterator.
309 template<typename Value>
310 class SparseArray<Value>::IndexValue {
311  public:
index()312   int index() const { return index_; }
value()313   Value& value() { return value_; }
value()314   const Value& value() const { return value_; }
315 
316  private:
317   friend class SparseArray;
318   int index_;
319   Value value_;
320 };
321 
322 // Change the maximum size of the array.
323 // Invalidates all iterators.
324 template<typename Value>
resize(int new_max_size)325 void SparseArray<Value>::resize(int new_max_size) {
326   DebugCheckInvariants();
327   if (new_max_size > max_size()) {
328     const int old_max_size = max_size();
329 
330     // Construct these first for exception safety.
331     PODArray<int> a(new_max_size);
332     PODArray<IndexValue> b(new_max_size);
333 
334     std::copy_n(sparse_.data(), old_max_size, a.data());
335     std::copy_n(dense_.data(), old_max_size, b.data());
336 
337     sparse_ = std::move(a);
338     dense_ = std::move(b);
339 
340     MaybeInitializeMemory(old_max_size, new_max_size);
341   }
342   if (size_ > new_max_size)
343     size_ = new_max_size;
344   DebugCheckInvariants();
345 }
346 
347 // Check whether index i is in the array.
348 template<typename Value>
has_index(int i)349 bool SparseArray<Value>::has_index(int i) const {
350   assert(i >= 0);
351   assert(i < max_size());
352   if (static_cast<uint32_t>(i) >= static_cast<uint32_t>(max_size())) {
353     return false;
354   }
355   // Unsigned comparison avoids checking sparse_[i] < 0.
356   return (uint32_t)sparse_[i] < (uint32_t)size_ &&
357          dense_[sparse_[i]].index_ == i;
358 }
359 
360 template<typename Value>
create_index(int i)361 void SparseArray<Value>::create_index(int i) {
362   assert(!has_index(i));
363   assert(size_ < max_size());
364   sparse_[i] = size_;
365   dense_[size_].index_ = i;
366   size_++;
367 }
368 
SparseArray(int max_size)369 template<typename Value> SparseArray<Value>::SparseArray(int max_size) :
370     sparse_(max_size), dense_(max_size) {
371   MaybeInitializeMemory(size_, max_size);
372   DebugCheckInvariants();
373 }
374 
~SparseArray()375 template<typename Value> SparseArray<Value>::~SparseArray() {
376   DebugCheckInvariants();
377 }
378 
DebugCheckInvariants()379 template<typename Value> void SparseArray<Value>::DebugCheckInvariants() const {
380   assert(0 <= size_);
381   assert(size_ <= max_size());
382 }
383 
384 // Comparison function for sorting.
less(const IndexValue & a,const IndexValue & b)385 template<typename Value> bool SparseArray<Value>::less(const IndexValue& a,
386                                                        const IndexValue& b) {
387   return a.index_ < b.index_;
388 }
389 
390 }  // namespace re2
391 
392 #endif  // RE2_SPARSE_ARRAY_H_
393