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526 lines
18 KiB
526 lines
18 KiB
//===--- llvm/ADT/SparseMultiSet.h - Sparse multiset ------------*- C++ -*-===//
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//
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// The LLVM Compiler Infrastructure
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//
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// This file is distributed under the University of Illinois Open Source
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// License. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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//
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// This file defines the SparseMultiSet class, which adds multiset behavior to
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// the SparseSet.
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//
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// A sparse multiset holds a small number of objects identified by integer keys
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// from a moderately sized universe. The sparse multiset uses more memory than
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// other containers in order to provide faster operations. Any key can map to
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// multiple values. A SparseMultiSetNode class is provided, which serves as a
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// convenient base class for the contents of a SparseMultiSet.
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//
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//===----------------------------------------------------------------------===//
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#ifndef LLVM_ADT_SPARSEMULTISET_H
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#define LLVM_ADT_SPARSEMULTISET_H
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#include "llvm/ADT/SparseSet.h"
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namespace llvm {
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/// Fast multiset implementation for objects that can be identified by small
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/// unsigned keys.
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///
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/// SparseMultiSet allocates memory proportional to the size of the key
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/// universe, so it is not recommended for building composite data structures.
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/// It is useful for algorithms that require a single set with fast operations.
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///
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/// Compared to DenseSet and DenseMap, SparseMultiSet provides constant-time
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/// fast clear() as fast as a vector. The find(), insert(), and erase()
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/// operations are all constant time, and typically faster than a hash table.
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/// The iteration order doesn't depend on numerical key values, it only depends
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/// on the order of insert() and erase() operations. Iteration order is the
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/// insertion order. Iteration is only provided over elements of equivalent
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/// keys, but iterators are bidirectional.
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///
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/// Compared to BitVector, SparseMultiSet<unsigned> uses 8x-40x more memory, but
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/// offers constant-time clear() and size() operations as well as fast iteration
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/// independent on the size of the universe.
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///
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/// SparseMultiSet 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 template
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/// parameter provides a space/speed tradeoff for sets holding many elements.
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///
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/// When SparseT is uint32_t, find() only touches up to 3 cache lines, but the
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/// sparse 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 3+[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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/// Multiset behavior is provided by providing doubly linked lists for values
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/// that are inlined in the dense vector. SparseMultiSet is a good choice when
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/// one desires a growable number of entries per key, as it will retain the
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/// SparseSet algorithmic properties despite being growable. Thus, it is often a
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/// better choice than a SparseSet of growable containers or a vector of
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/// vectors. SparseMultiSet also keeps iterators valid after erasure (provided
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/// the iterators don't point to the element erased), allowing for more
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/// intuitive and fast removal.
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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 = llvm::identity<unsigned>,
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typename SparseT = uint8_t>
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class SparseMultiSet {
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/// The actual data that's stored, as a doubly-linked list implemented via
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/// indices into the DenseVector. The doubly linked list is implemented
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/// circular in Prev indices, and INVALID-terminated in Next indices. This
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/// provides efficient access to list tails. These nodes can also be
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/// tombstones, in which case they are actually nodes in a single-linked
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/// freelist of recyclable slots.
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struct SMSNode {
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static const unsigned INVALID = ~0U;
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ValueT Data;
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unsigned Prev;
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unsigned Next;
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SMSNode(ValueT D, unsigned P, unsigned N) : Data(D), Prev(P), Next(N) { }
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/// List tails have invalid Nexts.
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bool isTail() const {
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return Next == INVALID;
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}
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/// Whether this node is a tombstone node, and thus is in our freelist.
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bool isTombstone() const {
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return Prev == INVALID;
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}
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/// Since the list is circular in Prev, all non-tombstone nodes have a valid
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/// Prev.
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bool isValid() const { return Prev != INVALID; }
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};
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typedef typename KeyFunctorT::argument_type KeyT;
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typedef SmallVector<SMSNode, 8> DenseT;
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DenseT Dense;
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SparseT *Sparse;
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unsigned Universe;
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KeyFunctorT KeyIndexOf;
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SparseSetValFunctor<KeyT, ValueT, KeyFunctorT> ValIndexOf;
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/// We have a built-in recycler for reusing tombstone slots. This recycler
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/// puts a singly-linked free list into tombstone slots, allowing us quick
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/// erasure, iterator preservation, and dense size.
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unsigned FreelistIdx;
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unsigned NumFree;
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unsigned sparseIndex(const ValueT &Val) const {
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assert(ValIndexOf(Val) < Universe &&
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"Invalid key in set. Did object mutate?");
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return ValIndexOf(Val);
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}
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unsigned sparseIndex(const SMSNode &N) const { return sparseIndex(N.Data); }
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// Disable copy construction and assignment.
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// This data structure is not meant to be used that way.
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SparseMultiSet(const SparseMultiSet&) LLVM_DELETED_FUNCTION;
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SparseMultiSet &operator=(const SparseMultiSet&) LLVM_DELETED_FUNCTION;
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/// Whether the given entry is the head of the list. List heads's previous
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/// pointers are to the tail of the list, allowing for efficient access to the
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/// list tail. D must be a valid entry node.
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bool isHead(const SMSNode &D) const {
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assert(D.isValid() && "Invalid node for head");
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return Dense[D.Prev].isTail();
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}
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/// Whether the given entry is a singleton entry, i.e. the only entry with
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/// that key.
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bool isSingleton(const SMSNode &N) const {
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assert(N.isValid() && "Invalid node for singleton");
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// Is N its own predecessor?
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return &Dense[N.Prev] == &N;
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}
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/// Add in the given SMSNode. Uses a free entry in our freelist if
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/// available. Returns the index of the added node.
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unsigned addValue(const ValueT& V, unsigned Prev, unsigned Next) {
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if (NumFree == 0) {
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Dense.push_back(SMSNode(V, Prev, Next));
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return Dense.size() - 1;
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}
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// Peel off a free slot
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unsigned Idx = FreelistIdx;
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unsigned NextFree = Dense[Idx].Next;
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assert(Dense[Idx].isTombstone() && "Non-tombstone free?");
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Dense[Idx] = SMSNode(V, Prev, Next);
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FreelistIdx = NextFree;
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--NumFree;
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return Idx;
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}
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/// Make the current index a new tombstone. Pushes it onto the freelist.
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void makeTombstone(unsigned Idx) {
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Dense[Idx].Prev = SMSNode::INVALID;
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Dense[Idx].Next = FreelistIdx;
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FreelistIdx = Idx;
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++NumFree;
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}
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public:
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typedef ValueT value_type;
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typedef ValueT &reference;
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typedef const ValueT &const_reference;
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typedef ValueT *pointer;
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typedef const ValueT *const_pointer;
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SparseMultiSet()
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: Sparse(0), Universe(0), FreelistIdx(SMSNode::INVALID), NumFree(0) { }
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~SparseMultiSet() { free(Sparse); }
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/// Set the universe size which determines the largest key the set can hold.
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/// The universe must be sized before any elements can be 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 = reinterpret_cast<SparseT*>(calloc(U, sizeof(SparseT)));
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Universe = U;
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}
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/// Our iterators are iterators over the collection of objects that share a
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/// key.
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template<typename SMSPtrTy>
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class iterator_base : public std::iterator<std::bidirectional_iterator_tag,
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ValueT> {
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friend class SparseMultiSet;
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SMSPtrTy SMS;
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unsigned Idx;
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unsigned SparseIdx;
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iterator_base(SMSPtrTy P, unsigned I, unsigned SI)
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: SMS(P), Idx(I), SparseIdx(SI) { }
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/// Whether our iterator has fallen outside our dense vector.
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bool isEnd() const {
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if (Idx == SMSNode::INVALID)
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return true;
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assert(Idx < SMS->Dense.size() && "Out of range, non-INVALID Idx?");
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return false;
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}
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/// Whether our iterator is properly keyed, i.e. the SparseIdx is valid
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bool isKeyed() const { return SparseIdx < SMS->Universe; }
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unsigned Prev() const { return SMS->Dense[Idx].Prev; }
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unsigned Next() const { return SMS->Dense[Idx].Next; }
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void setPrev(unsigned P) { SMS->Dense[Idx].Prev = P; }
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void setNext(unsigned N) { SMS->Dense[Idx].Next = N; }
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public:
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typedef std::iterator<std::bidirectional_iterator_tag, ValueT> super;
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typedef typename super::value_type value_type;
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typedef typename super::difference_type difference_type;
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typedef typename super::pointer pointer;
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typedef typename super::reference reference;
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iterator_base(const iterator_base &RHS)
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: SMS(RHS.SMS), Idx(RHS.Idx), SparseIdx(RHS.SparseIdx) { }
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const iterator_base &operator=(const iterator_base &RHS) {
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SMS = RHS.SMS;
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Idx = RHS.Idx;
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SparseIdx = RHS.SparseIdx;
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return *this;
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}
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reference operator*() const {
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assert(isKeyed() && SMS->sparseIndex(SMS->Dense[Idx].Data) == SparseIdx &&
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"Dereferencing iterator of invalid key or index");
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return SMS->Dense[Idx].Data;
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}
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pointer operator->() const { return &operator*(); }
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/// Comparison operators
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bool operator==(const iterator_base &RHS) const {
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// end compares equal
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if (SMS == RHS.SMS && Idx == RHS.Idx) {
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assert((isEnd() || SparseIdx == RHS.SparseIdx) &&
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"Same dense entry, but different keys?");
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return true;
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}
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return false;
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}
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bool operator!=(const iterator_base &RHS) const {
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return !operator==(RHS);
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}
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/// Increment and decrement operators
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iterator_base &operator--() { // predecrement - Back up
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assert(isKeyed() && "Decrementing an invalid iterator");
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assert((isEnd() || !SMS->isHead(SMS->Dense[Idx])) &&
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"Decrementing head of list");
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// If we're at the end, then issue a new find()
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if (isEnd())
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Idx = SMS->findIndex(SparseIdx).Prev();
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else
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Idx = Prev();
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return *this;
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}
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iterator_base &operator++() { // preincrement - Advance
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assert(!isEnd() && isKeyed() && "Incrementing an invalid/end iterator");
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Idx = Next();
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return *this;
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}
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iterator_base operator--(int) { // postdecrement
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iterator_base I(*this);
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--*this;
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return I;
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}
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iterator_base operator++(int) { // postincrement
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iterator_base I(*this);
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++*this;
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return I;
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}
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};
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typedef iterator_base<SparseMultiSet *> iterator;
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typedef iterator_base<const SparseMultiSet *> const_iterator;
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// Convenience types
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typedef std::pair<iterator, iterator> RangePair;
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/// Returns an iterator past this container. Note that such an iterator cannot
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/// be decremented, but will compare equal to other end iterators.
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iterator end() { return iterator(this, SMSNode::INVALID, SMSNode::INVALID); }
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const_iterator end() const {
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return const_iterator(this, SMSNode::INVALID, SMSNode::INVALID);
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}
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/// 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 size() == 0; }
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/// 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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unsigned size() const {
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assert(NumFree <= Dense.size() && "Out-of-bounds free entries");
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return Dense.size() - NumFree;
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}
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/// 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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NumFree = 0;
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FreelistIdx = SMSNode::INVALID;
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}
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/// 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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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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const unsigned Stride = std::numeric_limits<SparseT>::max() + 1u;
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for (unsigned i = Sparse[Idx], e = Dense.size(); i < e; i += Stride) {
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const unsigned FoundIdx = sparseIndex(Dense[i]);
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// Check that we're pointing at the correct entry and that it is the head
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// of a valid list.
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if (Idx == FoundIdx && Dense[i].isValid() && isHead(Dense[i]))
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return iterator(this, i, Idx);
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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 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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iterator I = const_cast<SparseMultiSet*>(this)->findIndex(KeyIndexOf(Key));
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return const_iterator(I.SMS, I.Idx, KeyIndexOf(Key));
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}
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/// Returns the number of elements identified by Key. This will be linear in
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/// the number of elements of that key.
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unsigned count(const KeyT &Key) const {
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unsigned Ret = 0;
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for (const_iterator It = find(Key); It != end(); ++It)
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++Ret;
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return Ret;
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}
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/// Returns true if this set contains an element identified by Key.
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bool contains(const KeyT &Key) const {
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return find(Key) != end();
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}
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/// Return the head and tail of the subset's list, otherwise returns end().
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iterator getHead(const KeyT &Key) { return find(Key); }
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iterator getTail(const KeyT &Key) {
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iterator I = find(Key);
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if (I != end())
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I = iterator(this, I.Prev(), KeyIndexOf(Key));
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return I;
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}
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/// The bounds of the range of items sharing Key K. First member is the head
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/// of the list, and the second member is a decrementable end iterator for
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/// that key.
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RangePair equal_range(const KeyT &K) {
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iterator B = find(K);
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iterator E = iterator(this, SMSNode::INVALID, B.SparseIdx);
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return make_pair(B, E);
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}
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/// Insert a new element at the tail of the subset list. Returns an iterator
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/// to the newly added entry.
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iterator insert(const ValueT &Val) {
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unsigned Idx = sparseIndex(Val);
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iterator I = findIndex(Idx);
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unsigned NodeIdx = addValue(Val, SMSNode::INVALID, SMSNode::INVALID);
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if (I == end()) {
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// Make a singleton list
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Sparse[Idx] = NodeIdx;
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Dense[NodeIdx].Prev = NodeIdx;
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return iterator(this, NodeIdx, Idx);
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}
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// Stick it at the end.
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unsigned HeadIdx = I.Idx;
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unsigned TailIdx = I.Prev();
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Dense[TailIdx].Next = NodeIdx;
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Dense[HeadIdx].Prev = NodeIdx;
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Dense[NodeIdx].Prev = TailIdx;
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return iterator(this, NodeIdx, Idx);
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}
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/// Erases an existing element identified by a valid iterator.
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///
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/// This invalidates iterators pointing at the same entry, but erase() returns
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/// an iterator pointing to the next element in the subset's list. This makes
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/// it possible to erase selected elements while iterating over the subset:
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///
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/// tie(I, E) = Set.equal_range(Key);
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/// while (I != E)
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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 if the last element in the subset list is erased, this will
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/// return an end iterator which can be decremented to get the new tail (if it
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/// exists):
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///
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/// tie(B, I) = Set.equal_range(Key);
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/// for (bool isBegin = B == I; !isBegin; /* empty */) {
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/// isBegin = (--I) == B;
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/// if (test(I))
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/// break;
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/// I = erase(I);
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/// }
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iterator erase(iterator I) {
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assert(I.isKeyed() && !I.isEnd() && !Dense[I.Idx].isTombstone() &&
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"erasing invalid/end/tombstone iterator");
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// First, unlink the node from its list. Then swap the node out with the
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// dense vector's last entry
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iterator NextI = unlink(Dense[I.Idx]);
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// Put in a tombstone.
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makeTombstone(I.Idx);
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return NextI;
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}
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/// Erase all elements with the given key. This invalidates all
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/// iterators of that key.
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void eraseAll(const KeyT &K) {
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for (iterator I = find(K); I != end(); /* empty */)
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I = erase(I);
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}
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private:
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/// Unlink the node from its list. Returns the next node in the list.
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iterator unlink(const SMSNode &N) {
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if (isSingleton(N)) {
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// Singleton is already unlinked
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assert(N.Next == SMSNode::INVALID && "Singleton has next?");
|
|
return iterator(this, SMSNode::INVALID, ValIndexOf(N.Data));
|
|
}
|
|
|
|
if (isHead(N)) {
|
|
// If we're the head, then update the sparse array and our next.
|
|
Sparse[sparseIndex(N)] = N.Next;
|
|
Dense[N.Next].Prev = N.Prev;
|
|
return iterator(this, N.Next, ValIndexOf(N.Data));
|
|
}
|
|
|
|
if (N.isTail()) {
|
|
// If we're the tail, then update our head and our previous.
|
|
findIndex(sparseIndex(N)).setPrev(N.Prev);
|
|
Dense[N.Prev].Next = N.Next;
|
|
|
|
// Give back an end iterator that can be decremented
|
|
iterator I(this, N.Prev, ValIndexOf(N.Data));
|
|
return ++I;
|
|
}
|
|
|
|
// Otherwise, just drop us
|
|
Dense[N.Next].Prev = N.Prev;
|
|
Dense[N.Prev].Next = N.Next;
|
|
return iterator(this, N.Next, ValIndexOf(N.Data));
|
|
}
|
|
};
|
|
|
|
} // end namespace llvm
|
|
|
|
#endif
|