2015-01-18 16:17:27 +00:00
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//===- StratifiedSets.h - Abstract stratified sets implementation. --------===//
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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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#ifndef LLVM_ADT_STRATIFIEDSETS_H
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#define LLVM_ADT_STRATIFIEDSETS_H
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2016-07-23 20:41:05 +00:00
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#include "AliasAnalysisSummary.h"
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2015-01-18 16:17:27 +00:00
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#include "llvm/ADT/DenseMap.h"
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#include "llvm/ADT/Optional.h"
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#include "llvm/ADT/SmallSet.h"
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#include "llvm/ADT/SmallVector.h"
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#include <bitset>
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#include <cassert>
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#include <cmath>
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#include <type_traits>
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#include <utility>
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#include <vector>
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namespace llvm {
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namespace cflaa {
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/// An index into Stratified Sets.
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typedef unsigned StratifiedIndex;
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/// NOTE: ^ This can't be a short -- bootstrapping clang has a case where
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/// ~1M sets exist.
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2015-01-18 16:17:27 +00:00
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// \brief Container of information related to a value in a StratifiedSet.
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struct StratifiedInfo {
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StratifiedIndex Index;
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/// For field sensitivity, etc. we can tack fields on here.
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};
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/// A "link" between two StratifiedSets.
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struct StratifiedLink {
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/// \brief This is a value used to signify "does not exist" where the
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/// StratifiedIndex type is used.
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///
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/// This is used instead of Optional<StratifiedIndex> because
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/// Optional<StratifiedIndex> would eat up a considerable amount of extra
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/// memory, after struct padding/alignment is taken into account.
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static const StratifiedIndex SetSentinel;
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/// The index for the set "above" current
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StratifiedIndex Above;
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/// The link for the set "below" current
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StratifiedIndex Below;
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/// Attributes for these StratifiedSets.
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AliasAttrs Attrs;
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StratifiedLink() : Above(SetSentinel), Below(SetSentinel) {}
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bool hasBelow() const { return Below != SetSentinel; }
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bool hasAbove() const { return Above != SetSentinel; }
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void clearBelow() { Below = SetSentinel; }
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void clearAbove() { Above = SetSentinel; }
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};
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/// \brief These are stratified sets, as described in "Fast algorithms for
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/// Dyck-CFL-reachability with applications to Alias Analysis" by Zhang Q, Lyu M
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/// R, Yuan H, and Su Z. -- in short, this is meant to represent different sets
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/// of Value*s. If two Value*s are in the same set, or if both sets have
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/// overlapping attributes, then the Value*s are said to alias.
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///
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/// Sets may be related by position, meaning that one set may be considered as
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/// above or below another. In CFL Alias Analysis, this gives us an indication
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/// of how two variables are related; if the set of variable A is below a set
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/// containing variable B, then at some point, a variable that has interacted
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/// with B (or B itself) was either used in order to extract the variable A, or
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/// was used as storage of variable A.
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///
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/// Sets may also have attributes (as noted above). These attributes are
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/// generally used for noting whether a variable in the set has interacted with
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/// a variable whose origins we don't quite know (i.e. globals/arguments), or if
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/// the variable may have had operations performed on it (modified in a function
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/// call). All attributes that exist in a set A must exist in all sets marked as
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/// below set A.
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template <typename T> class StratifiedSets {
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public:
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StratifiedSets() = default;
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StratifiedSets(StratifiedSets &&) = default;
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StratifiedSets &operator=(StratifiedSets &&) = default;
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StratifiedSets(DenseMap<T, StratifiedInfo> Map,
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std::vector<StratifiedLink> Links)
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: Values(std::move(Map)), Links(std::move(Links)) {}
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Optional<StratifiedInfo> find(const T &Elem) const {
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auto Iter = Values.find(Elem);
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if (Iter == Values.end())
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return None;
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return Iter->second;
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}
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const StratifiedLink &getLink(StratifiedIndex Index) const {
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assert(inbounds(Index));
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return Links[Index];
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}
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private:
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DenseMap<T, StratifiedInfo> Values;
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std::vector<StratifiedLink> Links;
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bool inbounds(StratifiedIndex Idx) const { return Idx < Links.size(); }
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};
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/// Generic Builder class that produces StratifiedSets instances.
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///
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/// The goal of this builder is to efficiently produce correct StratifiedSets
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/// instances. To this end, we use a few tricks:
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/// > Set chains (A method for linking sets together)
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/// > Set remaps (A method for marking a set as an alias [irony?] of another)
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///
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/// ==== Set chains ====
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/// This builder has a notion of some value A being above, below, or with some
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/// other value B:
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/// > The `A above B` relationship implies that there is a reference edge
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/// going from A to B. Namely, it notes that A can store anything in B's set.
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/// > The `A below B` relationship is the opposite of `A above B`. It implies
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/// that there's a dereference edge going from A to B.
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/// > The `A with B` relationship states that there's an assignment edge going
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/// from A to B, and that A and B should be treated as equals.
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///
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/// As an example, take the following code snippet:
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///
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/// %a = alloca i32, align 4
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/// %ap = alloca i32*, align 8
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/// %app = alloca i32**, align 8
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/// store %a, %ap
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/// store %ap, %app
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/// %aw = getelementptr %ap, i32 0
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///
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/// Given this, the following relations exist:
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/// - %a below %ap & %ap above %a
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/// - %ap below %app & %app above %ap
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/// - %aw with %ap & %ap with %aw
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///
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/// These relations produce the following sets:
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/// [{%a}, {%ap, %aw}, {%app}]
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///
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/// ...Which state that the only MayAlias relationship in the above program is
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/// between %ap and %aw.
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///
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/// Because LLVM allows arbitrary casts, code like the following needs to be
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/// supported:
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/// %ip = alloca i64, align 8
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/// %ipp = alloca i64*, align 8
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/// %i = bitcast i64** ipp to i64
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/// store i64* %ip, i64** %ipp
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/// store i64 %i, i64* %ip
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///
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/// Which, because %ipp ends up *both* above and below %ip, is fun.
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///
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/// This is solved by merging %i and %ipp into a single set (...which is the
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/// only way to solve this, since their bit patterns are equivalent). Any sets
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/// that ended up in between %i and %ipp at the time of merging (in this case,
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/// the set containing %ip) also get conservatively merged into the set of %i
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/// and %ipp. In short, the resulting StratifiedSet from the above code would be
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/// {%ip, %ipp, %i}.
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///
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/// ==== Set remaps ====
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/// More of an implementation detail than anything -- when merging sets, we need
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/// to update the numbers of all of the elements mapped to those sets. Rather
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/// than doing this at each merge, we note in the BuilderLink structure that a
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/// remap has occurred, and use this information so we can defer renumbering set
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/// elements until build time.
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template <typename T> class StratifiedSetsBuilder {
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/// \brief Represents a Stratified Set, with information about the Stratified
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/// Set above it, the set below it, and whether the current set has been
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/// remapped to another.
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struct BuilderLink {
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const StratifiedIndex Number;
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BuilderLink(StratifiedIndex N) : Number(N) {
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Remap = StratifiedLink::SetSentinel;
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}
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bool hasAbove() const {
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assert(!isRemapped());
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return Link.hasAbove();
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}
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bool hasBelow() const {
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assert(!isRemapped());
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return Link.hasBelow();
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}
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void setBelow(StratifiedIndex I) {
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assert(!isRemapped());
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Link.Below = I;
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}
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void setAbove(StratifiedIndex I) {
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assert(!isRemapped());
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Link.Above = I;
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}
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void clearBelow() {
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assert(!isRemapped());
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Link.clearBelow();
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}
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void clearAbove() {
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assert(!isRemapped());
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Link.clearAbove();
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}
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StratifiedIndex getBelow() const {
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assert(!isRemapped());
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assert(hasBelow());
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return Link.Below;
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}
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StratifiedIndex getAbove() const {
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assert(!isRemapped());
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assert(hasAbove());
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return Link.Above;
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}
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AliasAttrs getAttrs() {
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assert(!isRemapped());
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return Link.Attrs;
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}
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void setAttrs(AliasAttrs Other) {
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assert(!isRemapped());
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Link.Attrs |= Other;
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}
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bool isRemapped() const { return Remap != StratifiedLink::SetSentinel; }
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/// For initial remapping to another set
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void remapTo(StratifiedIndex Other) {
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assert(!isRemapped());
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Remap = Other;
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}
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StratifiedIndex getRemapIndex() const {
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assert(isRemapped());
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return Remap;
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}
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/// Should only be called when we're already remapped.
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void updateRemap(StratifiedIndex Other) {
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assert(isRemapped());
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Remap = Other;
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}
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2016-07-23 20:41:05 +00:00
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/// Prefer the above functions to calling things directly on what's returned
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/// from this -- they guard against unexpected calls when the current
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/// BuilderLink is remapped.
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const StratifiedLink &getLink() const { return Link; }
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private:
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StratifiedLink Link;
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StratifiedIndex Remap;
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};
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/// \brief This function performs all of the set unioning/value renumbering
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/// that we've been putting off, and generates a vector<StratifiedLink> that
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/// may be placed in a StratifiedSets instance.
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void finalizeSets(std::vector<StratifiedLink> &StratLinks) {
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DenseMap<StratifiedIndex, StratifiedIndex> Remaps;
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for (auto &Link : Links) {
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if (Link.isRemapped())
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continue;
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StratifiedIndex Number = StratLinks.size();
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Remaps.insert(std::make_pair(Link.Number, Number));
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StratLinks.push_back(Link.getLink());
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}
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for (auto &Link : StratLinks) {
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if (Link.hasAbove()) {
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auto &Above = linksAt(Link.Above);
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auto Iter = Remaps.find(Above.Number);
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assert(Iter != Remaps.end());
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Link.Above = Iter->second;
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}
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if (Link.hasBelow()) {
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auto &Below = linksAt(Link.Below);
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auto Iter = Remaps.find(Below.Number);
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assert(Iter != Remaps.end());
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Link.Below = Iter->second;
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}
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}
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for (auto &Pair : Values) {
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auto &Info = Pair.second;
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auto &Link = linksAt(Info.Index);
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auto Iter = Remaps.find(Link.Number);
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assert(Iter != Remaps.end());
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Info.Index = Iter->second;
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}
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}
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/// \brief There's a guarantee in StratifiedLink where all bits set in a
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/// Link.externals will be set in all Link.externals "below" it.
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static void propagateAttrs(std::vector<StratifiedLink> &Links) {
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const auto getHighestParentAbove = [&Links](StratifiedIndex Idx) {
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const auto *Link = &Links[Idx];
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while (Link->hasAbove()) {
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Idx = Link->Above;
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Link = &Links[Idx];
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}
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return Idx;
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};
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SmallSet<StratifiedIndex, 16> Visited;
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for (unsigned I = 0, E = Links.size(); I < E; ++I) {
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auto CurrentIndex = getHighestParentAbove(I);
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if (!Visited.insert(CurrentIndex).second)
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continue;
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while (Links[CurrentIndex].hasBelow()) {
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auto &CurrentBits = Links[CurrentIndex].Attrs;
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auto NextIndex = Links[CurrentIndex].Below;
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auto &NextBits = Links[NextIndex].Attrs;
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NextBits |= CurrentBits;
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CurrentIndex = NextIndex;
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}
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}
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}
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public:
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/// Builds a StratifiedSet from the information we've been given since either
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/// construction or the prior build() call.
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StratifiedSets<T> build() {
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std::vector<StratifiedLink> StratLinks;
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finalizeSets(StratLinks);
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propagateAttrs(StratLinks);
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Links.clear();
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return StratifiedSets<T>(std::move(Values), std::move(StratLinks));
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}
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bool has(const T &Elem) const { return get(Elem).hasValue(); }
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bool add(const T &Main) {
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if (get(Main).hasValue())
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return false;
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auto NewIndex = getNewUnlinkedIndex();
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return addAtMerging(Main, NewIndex);
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}
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2016-07-23 20:41:05 +00:00
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/// \brief Restructures the stratified sets as necessary to make "ToAdd" in a
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/// set above "Main". There are some cases where this is not possible (see
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/// above), so we merge them such that ToAdd and Main are in the same set.
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2015-01-18 16:17:27 +00:00
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bool addAbove(const T &Main, const T &ToAdd) {
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assert(has(Main));
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auto Index = *indexOf(Main);
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if (!linksAt(Index).hasAbove())
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addLinkAbove(Index);
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auto Above = linksAt(Index).getAbove();
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return addAtMerging(ToAdd, Above);
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}
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2016-07-23 20:41:05 +00:00
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/// \brief Restructures the stratified sets as necessary to make "ToAdd" in a
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/// set below "Main". There are some cases where this is not possible (see
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/// above), so we merge them such that ToAdd and Main are in the same set.
|
2015-01-18 16:17:27 +00:00
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bool addBelow(const T &Main, const T &ToAdd) {
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assert(has(Main));
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auto Index = *indexOf(Main);
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if (!linksAt(Index).hasBelow())
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addLinkBelow(Index);
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auto Below = linksAt(Index).getBelow();
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return addAtMerging(ToAdd, Below);
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}
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bool addWith(const T &Main, const T &ToAdd) {
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assert(has(Main));
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auto MainIndex = *indexOf(Main);
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return addAtMerging(ToAdd, MainIndex);
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}
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2016-07-23 20:41:05 +00:00
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void noteAttributes(const T &Main, AliasAttrs NewAttrs) {
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2015-01-18 16:17:27 +00:00
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assert(has(Main));
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auto *Info = *get(Main);
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auto &Link = linksAt(Info->Index);
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Link.setAttrs(NewAttrs);
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}
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private:
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DenseMap<T, StratifiedInfo> Values;
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std::vector<BuilderLink> Links;
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2016-07-23 20:41:05 +00:00
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/// Adds the given element at the given index, merging sets if necessary.
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2015-01-18 16:17:27 +00:00
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bool addAtMerging(const T &ToAdd, StratifiedIndex Index) {
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StratifiedInfo Info = {Index};
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auto Pair = Values.insert(std::make_pair(ToAdd, Info));
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if (Pair.second)
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return true;
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auto &Iter = Pair.first;
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auto &IterSet = linksAt(Iter->second.Index);
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auto &ReqSet = linksAt(Index);
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// Failed to add where we wanted to. Merge the sets.
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if (&IterSet != &ReqSet)
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merge(IterSet.Number, ReqSet.Number);
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return false;
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}
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|
2016-07-23 20:41:05 +00:00
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/// Gets the BuilderLink at the given index, taking set remapping into
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/// account.
|
2015-01-18 16:17:27 +00:00
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BuilderLink &linksAt(StratifiedIndex Index) {
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auto *Start = &Links[Index];
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if (!Start->isRemapped())
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return *Start;
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auto *Current = Start;
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while (Current->isRemapped())
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Current = &Links[Current->getRemapIndex()];
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auto NewRemap = Current->Number;
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// Run through everything that has yet to be updated, and update them to
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|
// remap to NewRemap
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Current = Start;
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|
|
while (Current->isRemapped()) {
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|
auto *Next = &Links[Current->getRemapIndex()];
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|
Current->updateRemap(NewRemap);
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|
Current = Next;
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|
}
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|
|
return *Current;
|
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|
}
|
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|
2016-07-23 20:41:05 +00:00
|
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|
/// \brief Merges two sets into one another. Assumes that these sets are not
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|
|
/// already one in the same.
|
2015-01-18 16:17:27 +00:00
|
|
|
void merge(StratifiedIndex Idx1, StratifiedIndex Idx2) {
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|
|
assert(inbounds(Idx1) && inbounds(Idx2));
|
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|
|
assert(&linksAt(Idx1) != &linksAt(Idx2) &&
|
|
|
|
"Merging a set into itself is not allowed");
|
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|
|
|
|
|
|
// CASE 1: If the set at `Idx1` is above or below `Idx2`, we need to merge
|
|
|
|
// both the
|
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|
|
// given sets, and all sets between them, into one.
|
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|
|
if (tryMergeUpwards(Idx1, Idx2))
|
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|
|
return;
|
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|
|
|
|
|
|
if (tryMergeUpwards(Idx2, Idx1))
|
|
|
|
return;
|
|
|
|
|
|
|
|
// CASE 2: The set at `Idx1` is not in the same chain as the set at `Idx2`.
|
|
|
|
// We therefore need to merge the two chains together.
|
|
|
|
mergeDirect(Idx1, Idx2);
|
|
|
|
}
|
|
|
|
|
2016-07-23 20:41:05 +00:00
|
|
|
/// \brief Merges two sets assuming that the set at `Idx1` is unreachable from
|
|
|
|
/// traversing above or below the set at `Idx2`.
|
2015-01-18 16:17:27 +00:00
|
|
|
void mergeDirect(StratifiedIndex Idx1, StratifiedIndex Idx2) {
|
|
|
|
assert(inbounds(Idx1) && inbounds(Idx2));
|
|
|
|
|
|
|
|
auto *LinksInto = &linksAt(Idx1);
|
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|
|
auto *LinksFrom = &linksAt(Idx2);
|
|
|
|
// Merging everything above LinksInto then proceeding to merge everything
|
|
|
|
// below LinksInto becomes problematic, so we go as far "up" as possible!
|
|
|
|
while (LinksInto->hasAbove() && LinksFrom->hasAbove()) {
|
|
|
|
LinksInto = &linksAt(LinksInto->getAbove());
|
|
|
|
LinksFrom = &linksAt(LinksFrom->getAbove());
|
|
|
|
}
|
|
|
|
|
|
|
|
if (LinksFrom->hasAbove()) {
|
|
|
|
LinksInto->setAbove(LinksFrom->getAbove());
|
|
|
|
auto &NewAbove = linksAt(LinksInto->getAbove());
|
|
|
|
NewAbove.setBelow(LinksInto->Number);
|
|
|
|
}
|
|
|
|
|
|
|
|
// Merging strategy:
|
|
|
|
// > If neither has links below, stop.
|
|
|
|
// > If only `LinksInto` has links below, stop.
|
|
|
|
// > If only `LinksFrom` has links below, reset `LinksInto.Below` to
|
|
|
|
// match `LinksFrom.Below`
|
|
|
|
// > If both have links above, deal with those next.
|
|
|
|
while (LinksInto->hasBelow() && LinksFrom->hasBelow()) {
|
2016-07-23 20:41:05 +00:00
|
|
|
auto FromAttrs = LinksFrom->getAttrs();
|
2015-01-18 16:17:27 +00:00
|
|
|
LinksInto->setAttrs(FromAttrs);
|
|
|
|
|
|
|
|
// Remap needs to happen after getBelow(), but before
|
|
|
|
// assignment of LinksFrom
|
|
|
|
auto *NewLinksFrom = &linksAt(LinksFrom->getBelow());
|
|
|
|
LinksFrom->remapTo(LinksInto->Number);
|
|
|
|
LinksFrom = NewLinksFrom;
|
|
|
|
LinksInto = &linksAt(LinksInto->getBelow());
|
|
|
|
}
|
|
|
|
|
|
|
|
if (LinksFrom->hasBelow()) {
|
|
|
|
LinksInto->setBelow(LinksFrom->getBelow());
|
|
|
|
auto &NewBelow = linksAt(LinksInto->getBelow());
|
|
|
|
NewBelow.setAbove(LinksInto->Number);
|
|
|
|
}
|
|
|
|
|
2016-07-23 20:41:05 +00:00
|
|
|
LinksInto->setAttrs(LinksFrom->getAttrs());
|
2015-01-18 16:17:27 +00:00
|
|
|
LinksFrom->remapTo(LinksInto->Number);
|
|
|
|
}
|
|
|
|
|
2016-07-23 20:41:05 +00:00
|
|
|
/// Checks to see if lowerIndex is at a level lower than upperIndex. If so, it
|
|
|
|
/// will merge lowerIndex with upperIndex (and all of the sets between) and
|
|
|
|
/// return true. Otherwise, it will return false.
|
2015-01-18 16:17:27 +00:00
|
|
|
bool tryMergeUpwards(StratifiedIndex LowerIndex, StratifiedIndex UpperIndex) {
|
|
|
|
assert(inbounds(LowerIndex) && inbounds(UpperIndex));
|
|
|
|
auto *Lower = &linksAt(LowerIndex);
|
|
|
|
auto *Upper = &linksAt(UpperIndex);
|
|
|
|
if (Lower == Upper)
|
|
|
|
return true;
|
|
|
|
|
|
|
|
SmallVector<BuilderLink *, 8> Found;
|
|
|
|
auto *Current = Lower;
|
|
|
|
auto Attrs = Current->getAttrs();
|
|
|
|
while (Current->hasAbove() && Current != Upper) {
|
|
|
|
Found.push_back(Current);
|
|
|
|
Attrs |= Current->getAttrs();
|
|
|
|
Current = &linksAt(Current->getAbove());
|
|
|
|
}
|
|
|
|
|
|
|
|
if (Current != Upper)
|
|
|
|
return false;
|
|
|
|
|
|
|
|
Upper->setAttrs(Attrs);
|
|
|
|
|
|
|
|
if (Lower->hasBelow()) {
|
|
|
|
auto NewBelowIndex = Lower->getBelow();
|
|
|
|
Upper->setBelow(NewBelowIndex);
|
|
|
|
auto &NewBelow = linksAt(NewBelowIndex);
|
|
|
|
NewBelow.setAbove(UpperIndex);
|
|
|
|
} else {
|
|
|
|
Upper->clearBelow();
|
|
|
|
}
|
|
|
|
|
|
|
|
for (const auto &Ptr : Found)
|
|
|
|
Ptr->remapTo(Upper->Number);
|
|
|
|
|
|
|
|
return true;
|
|
|
|
}
|
|
|
|
|
|
|
|
Optional<const StratifiedInfo *> get(const T &Val) const {
|
|
|
|
auto Result = Values.find(Val);
|
|
|
|
if (Result == Values.end())
|
2016-07-23 20:41:05 +00:00
|
|
|
return None;
|
2015-01-18 16:17:27 +00:00
|
|
|
return &Result->second;
|
|
|
|
}
|
|
|
|
|
|
|
|
Optional<StratifiedInfo *> get(const T &Val) {
|
|
|
|
auto Result = Values.find(Val);
|
|
|
|
if (Result == Values.end())
|
2016-07-23 20:41:05 +00:00
|
|
|
return None;
|
2015-01-18 16:17:27 +00:00
|
|
|
return &Result->second;
|
|
|
|
}
|
|
|
|
|
|
|
|
Optional<StratifiedIndex> indexOf(const T &Val) {
|
|
|
|
auto MaybeVal = get(Val);
|
|
|
|
if (!MaybeVal.hasValue())
|
2016-07-23 20:41:05 +00:00
|
|
|
return None;
|
2015-01-18 16:17:27 +00:00
|
|
|
auto *Info = *MaybeVal;
|
|
|
|
auto &Link = linksAt(Info->Index);
|
|
|
|
return Link.Number;
|
|
|
|
}
|
|
|
|
|
|
|
|
StratifiedIndex addLinkBelow(StratifiedIndex Set) {
|
|
|
|
auto At = addLinks();
|
|
|
|
Links[Set].setBelow(At);
|
|
|
|
Links[At].setAbove(Set);
|
|
|
|
return At;
|
|
|
|
}
|
|
|
|
|
|
|
|
StratifiedIndex addLinkAbove(StratifiedIndex Set) {
|
|
|
|
auto At = addLinks();
|
|
|
|
Links[At].setBelow(Set);
|
|
|
|
Links[Set].setAbove(At);
|
|
|
|
return At;
|
|
|
|
}
|
|
|
|
|
|
|
|
StratifiedIndex getNewUnlinkedIndex() { return addLinks(); }
|
|
|
|
|
|
|
|
StratifiedIndex addLinks() {
|
|
|
|
auto Link = Links.size();
|
|
|
|
Links.push_back(BuilderLink(Link));
|
|
|
|
return Link;
|
|
|
|
}
|
|
|
|
|
|
|
|
bool inbounds(StratifiedIndex N) const { return N < Links.size(); }
|
|
|
|
};
|
2015-07-05 14:21:36 +00:00
|
|
|
}
|
2016-07-23 20:41:05 +00:00
|
|
|
}
|
2015-01-18 16:17:27 +00:00
|
|
|
#endif // LLVM_ADT_STRATIFIEDSETS_H
|