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316 lines
11 KiB
C++
316 lines
11 KiB
C++
//===- llvm/ADT/SparseSet.h - Sparse set ------------------------*- C++ -*-===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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//
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// This file defines the SparseSet class derived from the version described in
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// Briggs, Torczon, "An efficient representation for sparse sets", ACM Letters
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// on Programming Languages and Systems, Volume 2 Issue 1-4, March-Dec. 1993.
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//
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// A sparse set holds a small number of objects identified by integer keys from
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// a moderately sized universe. The sparse set uses more memory than other
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// containers in order to provide faster operations.
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_ADT_SPARSESET_H
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#define LLVM_ADT_SPARSESET_H
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#include "llvm/ADT/STLExtras.h"
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#include "llvm/ADT/SmallVector.h"
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#include "llvm/Support/Allocator.h"
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#include <cassert>
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#include <cstdint>
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#include <cstdlib>
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#include <limits>
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#include <utility>
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namespace llvm {
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/// SparseSetValTraits - Objects in a SparseSet are identified by keys that can
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/// be uniquely converted to a small integer less than the set's universe. This
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/// class allows the set to hold values that differ from the set's key type as
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/// long as an index can still be derived from the value. SparseSet never
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/// directly compares ValueT, only their indices, so it can map keys to
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/// arbitrary values. SparseSetValTraits computes the index from the value
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/// object. To compute the index from a key, SparseSet uses a separate
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/// KeyFunctorT template argument.
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///
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/// A simple type declaration, SparseSet<Type>, handles these cases:
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/// - unsigned key, identity index, identity value
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/// - unsigned key, identity index, fat value providing getSparseSetIndex()
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///
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/// The type declaration SparseSet<Type, UnaryFunction> handles:
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/// - unsigned key, remapped index, identity value (virtual registers)
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/// - pointer key, pointer-derived index, identity value (node+ID)
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/// - pointer key, pointer-derived index, fat value with getSparseSetIndex()
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///
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/// Only other, unexpected cases require specializing SparseSetValTraits.
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///
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/// For best results, ValueT should not require a destructor.
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///
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template<typename ValueT>
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struct SparseSetValTraits {
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static unsigned getValIndex(const ValueT &Val) {
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return Val.getSparseSetIndex();
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}
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};
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/// SparseSetValFunctor - Helper class for selecting SparseSetValTraits. The
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/// generic implementation handles ValueT classes which either provide
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/// getSparseSetIndex() or specialize SparseSetValTraits<>.
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///
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template<typename KeyT, typename ValueT, typename KeyFunctorT>
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struct SparseSetValFunctor {
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unsigned operator()(const ValueT &Val) const {
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return SparseSetValTraits<ValueT>::getValIndex(Val);
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}
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};
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/// SparseSetValFunctor<KeyT, KeyT> - Helper class for the common case of
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/// identity key/value sets.
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template<typename KeyT, typename KeyFunctorT>
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struct SparseSetValFunctor<KeyT, KeyT, KeyFunctorT> {
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unsigned operator()(const KeyT &Key) const {
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return KeyFunctorT()(Key);
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}
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};
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/// SparseSet - Fast set implmentation for objects that can be identified by
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/// small unsigned keys.
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///
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/// SparseSet allocates memory proportional to the size of the key universe, so
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/// it is not recommended for building composite data structures. It is useful
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/// for algorithms that require a single set with fast operations.
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///
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/// Compared to DenseSet and DenseMap, SparseSet provides constant-time fast
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/// clear() and iteration as fast as a vector. The find(), insert(), and
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/// erase() operations are all constant time, and typically faster than a hash
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/// table. The iteration order doesn't depend on numerical key values, it only
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/// depends on the order of insert() and erase() operations. When no elements
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/// have been erased, the iteration order is the insertion order.
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///
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/// Compared to BitVector, SparseSet<unsigned> uses 8x-40x more memory, but
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/// offers constant-time clear() and size() operations as well as fast
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/// iteration independent on the size of the universe.
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///
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/// SparseSet contains a dense vector holding all the objects and a sparse
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/// array holding indexes into the dense vector. Most of the memory is used by
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/// the sparse array which is the size of the key universe. The SparseT
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/// template parameter provides a space/speed tradeoff for sets holding many
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/// elements.
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///
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/// When SparseT is uint32_t, find() only touches 2 cache lines, but the sparse
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/// array uses 4 x Universe bytes.
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///
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/// When SparseT is uint8_t (the default), find() touches up to 2+[N/256] cache
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/// lines, but the sparse array is 4x smaller. N is the number of elements in
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/// the set.
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///
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/// For sets that may grow to thousands of elements, SparseT should be set to
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/// uint16_t or uint32_t.
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///
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/// @tparam ValueT The type of objects in the set.
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/// @tparam KeyFunctorT A functor that computes an unsigned index from KeyT.
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/// @tparam SparseT An unsigned integer type. See above.
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///
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template<typename ValueT,
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typename KeyFunctorT = identity<unsigned>,
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typename SparseT = uint8_t>
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class SparseSet {
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static_assert(std::numeric_limits<SparseT>::is_integer &&
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!std::numeric_limits<SparseT>::is_signed,
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"SparseT must be an unsigned integer type");
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using KeyT = typename KeyFunctorT::argument_type;
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using DenseT = SmallVector<ValueT, 8>;
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using size_type = unsigned;
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DenseT Dense;
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SparseT *Sparse = nullptr;
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unsigned Universe = 0;
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KeyFunctorT KeyIndexOf;
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SparseSetValFunctor<KeyT, ValueT, KeyFunctorT> ValIndexOf;
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public:
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using value_type = ValueT;
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using reference = ValueT &;
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using const_reference = const ValueT &;
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using pointer = ValueT *;
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using const_pointer = const ValueT *;
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SparseSet() = default;
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SparseSet(const SparseSet &) = delete;
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SparseSet &operator=(const SparseSet &) = delete;
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~SparseSet() { free(Sparse); }
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/// setUniverse - Set the universe size which determines the largest key the
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/// set can hold. The universe must be sized before any elements can be
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/// added.
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///
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/// @param U Universe size. All object keys must be less than U.
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///
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void setUniverse(unsigned U) {
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// It's not hard to resize the universe on a non-empty set, but it doesn't
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// seem like a likely use case, so we can add that code when we need it.
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assert(empty() && "Can only resize universe on an empty map");
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// Hysteresis prevents needless reallocations.
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if (U >= Universe/4 && U <= Universe)
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return;
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free(Sparse);
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// The Sparse array doesn't actually need to be initialized, so malloc
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// would be enough here, but that will cause tools like valgrind to
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// complain about branching on uninitialized data.
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Sparse = static_cast<SparseT*>(safe_calloc(U, sizeof(SparseT)));
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Universe = U;
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}
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// Import trivial vector stuff from DenseT.
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using iterator = typename DenseT::iterator;
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using const_iterator = typename DenseT::const_iterator;
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const_iterator begin() const { return Dense.begin(); }
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const_iterator end() const { return Dense.end(); }
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iterator begin() { return Dense.begin(); }
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iterator end() { return Dense.end(); }
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/// empty - Returns true if the set is empty.
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///
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/// This is not the same as BitVector::empty().
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///
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bool empty() const { return Dense.empty(); }
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/// size - Returns the number of elements in the set.
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///
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/// This is not the same as BitVector::size() which returns the size of the
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/// universe.
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///
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size_type size() const { return Dense.size(); }
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/// clear - Clears the set. This is a very fast constant time operation.
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///
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void clear() {
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// Sparse does not need to be cleared, see find().
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Dense.clear();
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}
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/// findIndex - Find an element by its index.
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///
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/// @param Idx A valid index to find.
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/// @returns An iterator to the element identified by key, or end().
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///
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iterator findIndex(unsigned Idx) {
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assert(Idx < Universe && "Key out of range");
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const unsigned Stride = std::numeric_limits<SparseT>::max() + 1u;
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for (unsigned i = Sparse[Idx], e = size(); i < e; i += Stride) {
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const unsigned FoundIdx = ValIndexOf(Dense[i]);
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assert(FoundIdx < Universe && "Invalid key in set. Did object mutate?");
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if (Idx == FoundIdx)
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return begin() + i;
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// Stride is 0 when SparseT >= unsigned. We don't need to loop.
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if (!Stride)
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break;
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}
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return end();
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}
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/// find - Find an element by its key.
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///
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/// @param Key A valid key to find.
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/// @returns An iterator to the element identified by key, or end().
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///
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iterator find(const KeyT &Key) {
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return findIndex(KeyIndexOf(Key));
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}
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const_iterator find(const KeyT &Key) const {
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return const_cast<SparseSet*>(this)->findIndex(KeyIndexOf(Key));
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}
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/// count - Returns 1 if this set contains an element identified by Key,
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/// 0 otherwise.
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///
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size_type count(const KeyT &Key) const {
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return find(Key) == end() ? 0 : 1;
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}
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/// insert - Attempts to insert a new element.
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///
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/// If Val is successfully inserted, return (I, true), where I is an iterator
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/// pointing to the newly inserted element.
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///
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/// If the set already contains an element with the same key as Val, return
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/// (I, false), where I is an iterator pointing to the existing element.
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///
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/// Insertion invalidates all iterators.
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///
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std::pair<iterator, bool> insert(const ValueT &Val) {
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unsigned Idx = ValIndexOf(Val);
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iterator I = findIndex(Idx);
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if (I != end())
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return std::make_pair(I, false);
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Sparse[Idx] = size();
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Dense.push_back(Val);
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return std::make_pair(end() - 1, true);
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}
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/// array subscript - If an element already exists with this key, return it.
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/// Otherwise, automatically construct a new value from Key, insert it,
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/// and return the newly inserted element.
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ValueT &operator[](const KeyT &Key) {
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return *insert(ValueT(Key)).first;
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}
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ValueT pop_back_val() {
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// Sparse does not need to be cleared, see find().
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return Dense.pop_back_val();
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}
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/// erase - Erases an existing element identified by a valid iterator.
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///
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/// This invalidates all iterators, but erase() returns an iterator pointing
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/// to the next element. This makes it possible to erase selected elements
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/// while iterating over the set:
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///
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/// for (SparseSet::iterator I = Set.begin(); I != Set.end();)
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/// if (test(*I))
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/// I = Set.erase(I);
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/// else
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/// ++I;
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///
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/// Note that end() changes when elements are erased, unlike std::list.
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///
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iterator erase(iterator I) {
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assert(unsigned(I - begin()) < size() && "Invalid iterator");
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if (I != end() - 1) {
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*I = Dense.back();
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unsigned BackIdx = ValIndexOf(Dense.back());
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assert(BackIdx < Universe && "Invalid key in set. Did object mutate?");
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Sparse[BackIdx] = I - begin();
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}
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// This depends on SmallVector::pop_back() not invalidating iterators.
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// std::vector::pop_back() doesn't give that guarantee.
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Dense.pop_back();
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return I;
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}
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/// erase - Erases an element identified by Key, if it exists.
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///
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/// @param Key The key identifying the element to erase.
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/// @returns True when an element was erased, false if no element was found.
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///
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bool erase(const KeyT &Key) {
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iterator I = find(Key);
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if (I == end())
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return false;
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erase(I);
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return true;
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}
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};
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} // end namespace llvm
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#endif // LLVM_ADT_SPARSESET_H
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