Index: third_party/re2/util/sparse_array.h |
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+// Copyright 2006 The RE2 Authors. All Rights Reserved. |
+// Use of this source code is governed by a BSD-style |
+// license that can be found in the LICENSE file. |
+ |
+// DESCRIPTION |
+// |
+// SparseArray<T>(m) is a map from integers in [0, m) to T values. |
+// It requires (sizeof(T)+sizeof(int))*m memory, but it provides |
+// fast iteration through the elements in the array and fast clearing |
+// of the array. The array has a concept of certain elements being |
+// uninitialized (having no value). |
+// |
+// Insertion and deletion are constant time operations. |
+// |
+// Allocating the array is a constant time operation |
+// when memory allocation is a constant time operation. |
+// |
+// Clearing the array is a constant time operation (unusual!). |
+// |
+// Iterating through the array is an O(n) operation, where n |
+// is the number of items in the array (not O(m)). |
+// |
+// The array iterator visits entries in the order they were first |
+// inserted into the array. It is safe to add items to the array while |
+// using an iterator: the iterator will visit indices added to the array |
+// during the iteration, but will not re-visit indices whose values |
+// change after visiting. Thus SparseArray can be a convenient |
+// implementation of a work queue. |
+// |
+// The SparseArray implementation is NOT thread-safe. It is up to the |
+// caller to make sure only one thread is accessing the array. (Typically |
+// these arrays are temporary values and used in situations where speed is |
+// important.) |
+// |
+// The SparseArray interface does not present all the usual STL bells and |
+// whistles. |
+// |
+// Implemented with reference to Briggs & Torczon, An Efficient |
+// Representation for Sparse Sets, ACM Letters on Programming Languages |
+// and Systems, Volume 2, Issue 1-4 (March-Dec. 1993), pp. 59-69. |
+// |
+// Briggs & Torczon popularized this technique, but it had been known |
+// long before their paper. They point out that Aho, Hopcroft, and |
+// Ullman's 1974 Design and Analysis of Computer Algorithms and Bentley's |
+// 1986 Programming Pearls both hint at the technique in exercises to the |
+// reader (in Aho & Hopcroft, exercise 2.12; in Bentley, column 1 |
+// exercise 8). |
+// |
+// Briggs & Torczon describe a sparse set implementation. I have |
+// trivially generalized it to create a sparse array (actually the original |
+// target of the AHU and Bentley exercises). |
+ |
+// IMPLEMENTATION |
+// |
+// SparseArray uses a vector dense_ and an array sparse_to_dense_, both of |
+// size max_size_. At any point, the number of elements in the sparse array is |
+// size_. |
+// |
+// The vector dense_ contains the size_ elements in the sparse array (with |
+// their indices), |
+// in the order that the elements were first inserted. This array is dense: |
+// the size_ pairs are dense_[0] through dense_[size_-1]. |
+// |
+// The array sparse_to_dense_ maps from indices in [0,m) to indices in |
+// [0,size_). |
+// For indices present in the array, dense_[sparse_to_dense_[i]].index_ == i. |
+// For indices not present in the array, sparse_to_dense_ can contain |
+// any value at all, perhaps outside the range [0, size_) but perhaps not. |
+// |
+// The lax requirement on sparse_to_dense_ values makes clearing |
+// the array very easy: set size_ to 0. Lookups are slightly more |
+// complicated. An index i has a value in the array if and only if: |
+// sparse_to_dense_[i] is in [0, size_) AND |
+// dense_[sparse_to_dense_[i]].index_ == i. |
+// If both these properties hold, only then it is safe to refer to |
+// dense_[sparse_to_dense_[i]].value_ |
+// as the value associated with index i. |
+// |
+// To insert a new entry, set sparse_to_dense_[i] to size_, |
+// initialize dense_[size_], and then increment size_. |
+// |
+// Deletion of specific values from the array is implemented by |
+// swapping dense_[size_-1] and the dense_ being deleted and then |
+// updating the appropriate sparse_to_dense_ entries. |
+// |
+// To make the sparse array as efficient as possible for non-primitive types, |
+// elements may or may not be destroyed when they are deleted from the sparse |
+// array through a call to erase(), erase_existing() or resize(). They |
+// immediately become inaccessible, but they are only guaranteed to be |
+// destroyed when the SparseArray destructor is called. |
+ |
+#ifndef RE2_UTIL_SPARSE_ARRAY_H__ |
+#define RE2_UTIL_SPARSE_ARRAY_H__ |
+ |
+#include "util/util.h" |
+ |
+namespace re2 { |
+ |
+template<typename Value> |
+class SparseArray { |
+ public: |
+ SparseArray(); |
+ SparseArray(int max_size); |
+ ~SparseArray(); |
+ |
+ // IndexValue pairs: exposed in SparseArray::iterator. |
+ class IndexValue; |
+ |
+ typedef IndexValue value_type; |
+ typedef typename vector<IndexValue>::iterator iterator; |
+ typedef typename vector<IndexValue>::const_iterator const_iterator; |
+ |
+ inline const IndexValue& iv(int i) const; |
+ |
+ // Return the number of entries in the array. |
+ int size() const { |
+ return size_; |
+ } |
+ |
+ // Iterate over the array. |
+ iterator begin() { |
+ return dense_.begin(); |
+ } |
+ iterator end() { |
+ return dense_.begin() + size_; |
+ } |
+ |
+ const_iterator begin() const { |
+ return dense_.begin(); |
+ } |
+ const_iterator end() const { |
+ return dense_.begin() + size_; |
+ } |
+ |
+ // Change the maximum size of the array. |
+ // Invalidates all iterators. |
+ void resize(int max_size); |
+ |
+ // Return the maximum size of the array. |
+ // Indices can be in the range [0, max_size). |
+ int max_size() const { |
+ return max_size_; |
+ } |
+ |
+ // Clear the array. |
+ void clear() { |
+ size_ = 0; |
+ } |
+ |
+ // Check whether index i is in the array. |
+ inline bool has_index(int i) const; |
+ |
+ // Comparison function for sorting. |
+ // Can sort the sparse array so that future iterations |
+ // will visit indices in increasing order using |
+ // sort(arr.begin(), arr.end(), arr.less); |
+ static bool less(const IndexValue& a, const IndexValue& b); |
+ |
+ public: |
+ // Set the value at index i to v. |
+ inline iterator set(int i, Value v); |
+ |
+ pair<iterator, bool> insert(const value_type& new_value); |
+ |
+ // Returns the value at index i |
+ // or defaultv if index i is not initialized in the array. |
+ inline Value get(int i, Value defaultv) const; |
+ |
+ iterator find(int i); |
+ |
+ const_iterator find(int i) const; |
+ |
+ // Change the value at index i to v. |
+ // Fast but unsafe: only use if has_index(i) is true. |
+ inline iterator set_existing(int i, Value v); |
+ |
+ // Set the value at the new index i to v. |
+ // Fast but unsafe: only use if has_index(i) is false. |
+ inline iterator set_new(int i, Value v); |
+ |
+ // Get the value at index i from the array.. |
+ // Fast but unsafe: only use if has_index(i) is true. |
+ inline Value get_existing(int i) const; |
+ |
+ // Erasing items from the array during iteration is in general |
+ // NOT safe. There is one special case, which is that the current |
+ // index-value pair can be erased as long as the iterator is then |
+ // checked for being at the end before being incremented. |
+ // For example: |
+ // |
+ // for (i = m.begin(); i != m.end(); ++i) { |
+ // if (ShouldErase(i->index(), i->value())) { |
+ // m.erase(i->index()); |
+ // --i; |
+ // } |
+ // } |
+ // |
+ // Except in the specific case just described, elements must |
+ // not be erased from the array (including clearing the array) |
+ // while iterators are walking over the array. Otherwise, |
+ // the iterators could walk past the end of the array. |
+ |
+ // Erases the element at index i from the array. |
+ inline void erase(int i); |
+ |
+ // Erases the element at index i from the array. |
+ // Fast but unsafe: only use if has_index(i) is true. |
+ inline void erase_existing(int i); |
+ |
+ private: |
+ // Add the index i to the array. |
+ // Only use if has_index(i) is known to be false. |
+ // Since it doesn't set the value associated with i, |
+ // this function is private, only intended as a helper |
+ // for other methods. |
+ inline void create_index(int i); |
+ |
+ // In debug mode, verify that some invariant properties of the class |
+ // are being maintained. This is called at the end of the constructor |
+ // and at the beginning and end of all public non-const member functions. |
+ inline void DebugCheckInvariants() const; |
+ |
+ int size_; |
+ int max_size_; |
+ int* sparse_to_dense_; |
+ vector<IndexValue> dense_; |
+ |
+ DISALLOW_EVIL_CONSTRUCTORS(SparseArray); |
+}; |
+ |
+template<typename Value> |
+SparseArray<Value>::SparseArray() |
+ : size_(0), max_size_(0), sparse_to_dense_(NULL), dense_() {} |
+ |
+// IndexValue pairs: exposed in SparseArray::iterator. |
+template<typename Value> |
+class SparseArray<Value>::IndexValue { |
+ friend class SparseArray; |
+ public: |
+ typedef int first_type; |
+ typedef Value second_type; |
+ |
+ IndexValue() {} |
+ IndexValue(int index, const Value& value) : second(value), index_(index) {} |
+ |
+ int index() const { return index_; } |
+ Value value() const { return second; } |
+ |
+ // Provide the data in the 'second' member so that the utilities |
+ // in map-util work. |
+ Value second; |
+ |
+ private: |
+ int index_; |
+}; |
+ |
+template<typename Value> |
+const typename SparseArray<Value>::IndexValue& |
+SparseArray<Value>::iv(int i) const { |
+ DCHECK_GE(i, 0); |
+ DCHECK_LT(i, size_); |
+ return dense_[i]; |
+} |
+ |
+// Change the maximum size of the array. |
+// Invalidates all iterators. |
+template<typename Value> |
+void SparseArray<Value>::resize(int new_max_size) { |
+ DebugCheckInvariants(); |
+ if (new_max_size > max_size_) { |
+ int* a = new int[new_max_size]; |
+ if (sparse_to_dense_) { |
+ memmove(a, sparse_to_dense_, max_size_*sizeof a[0]); |
+ // Don't need to zero the memory but appease Valgrind. |
+ if (RunningOnValgrind()) { |
+ for (int i = max_size_; i < new_max_size; i++) |
+ a[i] = 0xababababU; |
+ } |
+ delete[] sparse_to_dense_; |
+ } |
+ sparse_to_dense_ = a; |
+ |
+ dense_.resize(new_max_size); |
+ } |
+ max_size_ = new_max_size; |
+ if (size_ > max_size_) |
+ size_ = max_size_; |
+ DebugCheckInvariants(); |
+} |
+ |
+// Check whether index i is in the array. |
+template<typename Value> |
+bool SparseArray<Value>::has_index(int i) const { |
+ DCHECK_GE(i, 0); |
+ DCHECK_LT(i, max_size_); |
+ if (static_cast<uint>(i) >= max_size_) { |
+ return false; |
+ } |
+ // Unsigned comparison avoids checking sparse_to_dense_[i] < 0. |
+ return (uint)sparse_to_dense_[i] < (uint)size_ && |
+ dense_[sparse_to_dense_[i]].index_ == i; |
+} |
+ |
+// Set the value at index i to v. |
+template<typename Value> |
+typename SparseArray<Value>::iterator SparseArray<Value>::set(int i, Value v) { |
+ DebugCheckInvariants(); |
+ if (static_cast<uint>(i) >= max_size_) { |
+ // Semantically, end() would be better here, but we already know |
+ // the user did something stupid, so begin() insulates them from |
+ // dereferencing an invalid pointer. |
+ return begin(); |
+ } |
+ if (!has_index(i)) |
+ create_index(i); |
+ return set_existing(i, v); |
+} |
+ |
+template<typename Value> |
+pair<typename SparseArray<Value>::iterator, bool> SparseArray<Value>::insert( |
+ const value_type& new_value) { |
+ DebugCheckInvariants(); |
+ pair<typename SparseArray<Value>::iterator, bool> p; |
+ if (has_index(new_value.index_)) { |
+ p = make_pair(dense_.begin() + sparse_to_dense_[new_value.index_], false); |
+ } else { |
+ p = make_pair(set_new(new_value.index_, new_value.second), true); |
+ } |
+ DebugCheckInvariants(); |
+ return p; |
+} |
+ |
+template<typename Value> |
+Value SparseArray<Value>::get(int i, Value defaultv) const { |
+ if (!has_index(i)) |
+ return defaultv; |
+ return get_existing(i); |
+} |
+ |
+template<typename Value> |
+typename SparseArray<Value>::iterator SparseArray<Value>::find(int i) { |
+ if (has_index(i)) |
+ return dense_.begin() + sparse_to_dense_[i]; |
+ return end(); |
+} |
+ |
+template<typename Value> |
+typename SparseArray<Value>::const_iterator |
+SparseArray<Value>::find(int i) const { |
+ if (has_index(i)) { |
+ return dense_.begin() + sparse_to_dense_[i]; |
+ } |
+ return end(); |
+} |
+ |
+template<typename Value> |
+typename SparseArray<Value>::iterator |
+SparseArray<Value>::set_existing(int i, Value v) { |
+ DebugCheckInvariants(); |
+ DCHECK(has_index(i)); |
+ dense_[sparse_to_dense_[i]].second = v; |
+ DebugCheckInvariants(); |
+ return dense_.begin() + sparse_to_dense_[i]; |
+} |
+ |
+template<typename Value> |
+typename SparseArray<Value>::iterator |
+SparseArray<Value>::set_new(int i, Value v) { |
+ DebugCheckInvariants(); |
+ if (static_cast<uint>(i) >= max_size_) { |
+ // Semantically, end() would be better here, but we already know |
+ // the user did something stupid, so begin() insulates them from |
+ // dereferencing an invalid pointer. |
+ return begin(); |
+ } |
+ DCHECK(!has_index(i)); |
+ create_index(i); |
+ return set_existing(i, v); |
+} |
+ |
+template<typename Value> |
+Value SparseArray<Value>::get_existing(int i) const { |
+ DCHECK(has_index(i)); |
+ return dense_[sparse_to_dense_[i]].second; |
+} |
+ |
+template<typename Value> |
+void SparseArray<Value>::erase(int i) { |
+ DebugCheckInvariants(); |
+ if (has_index(i)) |
+ erase_existing(i); |
+ DebugCheckInvariants(); |
+} |
+ |
+template<typename Value> |
+void SparseArray<Value>::erase_existing(int i) { |
+ DebugCheckInvariants(); |
+ DCHECK(has_index(i)); |
+ int di = sparse_to_dense_[i]; |
+ if (di < size_ - 1) { |
+ dense_[di] = dense_[size_ - 1]; |
+ sparse_to_dense_[dense_[di].index_] = di; |
+ } |
+ size_--; |
+ DebugCheckInvariants(); |
+} |
+ |
+template<typename Value> |
+void SparseArray<Value>::create_index(int i) { |
+ DCHECK(!has_index(i)); |
+ DCHECK_LT(size_, max_size_); |
+ sparse_to_dense_[i] = size_; |
+ dense_[size_].index_ = i; |
+ size_++; |
+} |
+ |
+template<typename Value> SparseArray<Value>::SparseArray(int max_size) { |
+ max_size_ = max_size; |
+ sparse_to_dense_ = new int[max_size]; |
+ dense_.resize(max_size); |
+ // Don't need to zero the new memory, but appease Valgrind. |
+ if (RunningOnValgrind()) { |
+ for (int i = 0; i < max_size; i++) { |
+ sparse_to_dense_[i] = 0xababababU; |
+ dense_[i].index_ = 0xababababU; |
+ } |
+ } |
+ size_ = 0; |
+ DebugCheckInvariants(); |
+} |
+ |
+template<typename Value> SparseArray<Value>::~SparseArray() { |
+ DebugCheckInvariants(); |
+ delete[] sparse_to_dense_; |
+} |
+ |
+template<typename Value> void SparseArray<Value>::DebugCheckInvariants() const { |
+ DCHECK_LE(0, size_); |
+ DCHECK_LE(size_, max_size_); |
+ DCHECK(size_ == 0 || sparse_to_dense_ != NULL); |
+} |
+ |
+// Comparison function for sorting. |
+template<typename Value> bool SparseArray<Value>::less(const IndexValue& a, |
+ const IndexValue& b) { |
+ return a.index_ < b.index_; |
+} |
+ |
+} // namespace re2 |
+ |
+#endif // RE2_UTIL_SPARSE_ARRAY_H__ |