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1 //===--- DAGDeltaAlgorithm.cpp - A DAG Minimization Algorithm --*- C++ -*--===//
2 //
3 //                     The LLVM Compiler Infrastructure
4 //
5 // This file is distributed under the University of Illinois Open Source
6 // License. See LICENSE.TXT for details.
7 //===----------------------------------------------------------------------===//
8 //
9 // The algorithm we use attempts to exploit the dependency information by
10 // minimizing top-down. We start by constructing an initial root set R, and
11 // then iteratively:
12 //
13 //   1. Minimize the set R using the test predicate:
14 //       P'(S) = P(S union pred*(S))
15 //
16 //   2. Extend R to R' = R union pred(R).
17 //
18 // until a fixed point is reached.
19 //
20 // The idea is that we want to quickly prune entire portions of the graph, so we
21 // try to find high-level nodes that can be eliminated with all of their
22 // dependents.
23 //
24 // FIXME: The current algorithm doesn't actually provide a strong guarantee
25 // about the minimality of the result. The problem is that after adding nodes to
26 // the required set, we no longer consider them for elimination. For strictly
27 // well formed predicates, this doesn't happen, but it commonly occurs in
28 // practice when there are unmodelled dependencies. I believe we can resolve
29 // this by allowing the required set to be minimized as well, but need more test
30 // cases first.
31 //
32 //===----------------------------------------------------------------------===//
33 
34 #include "llvm/ADT/DAGDeltaAlgorithm.h"
35 #include "llvm/ADT/DeltaAlgorithm.h"
36 #include "llvm/Support/Debug.h"
37 #include "llvm/Support/Format.h"
38 #include "llvm/Support/raw_ostream.h"
39 #include <algorithm>
40 #include <cassert>
41 #include <iterator>
42 #include <map>
43 using namespace llvm;
44 
45 namespace {
46 
47 class DAGDeltaAlgorithmImpl {
48   friend class DeltaActiveSetHelper;
49 
50 public:
51   typedef DAGDeltaAlgorithm::change_ty change_ty;
52   typedef DAGDeltaAlgorithm::changeset_ty changeset_ty;
53   typedef DAGDeltaAlgorithm::changesetlist_ty changesetlist_ty;
54   typedef DAGDeltaAlgorithm::edge_ty edge_ty;
55 
56 private:
57   typedef std::vector<change_ty>::iterator pred_iterator_ty;
58   typedef std::vector<change_ty>::iterator succ_iterator_ty;
59   typedef std::set<change_ty>::iterator pred_closure_iterator_ty;
60   typedef std::set<change_ty>::iterator succ_closure_iterator_ty;
61 
62   DAGDeltaAlgorithm &DDA;
63 
64   const changeset_ty &Changes;
65   const std::vector<edge_ty> &Dependencies;
66 
67   std::vector<change_ty> Roots;
68 
69   /// Cache of failed test results. Successful test results are never cached
70   /// since we always reduce following a success. We maintain an independent
71   /// cache from that used by the individual delta passes because we may get
72   /// hits across multiple individual delta invocations.
73   mutable std::set<changeset_ty> FailedTestsCache;
74 
75   // FIXME: Gross.
76   std::map<change_ty, std::vector<change_ty> > Predecessors;
77   std::map<change_ty, std::vector<change_ty> > Successors;
78 
79   std::map<change_ty, std::set<change_ty> > PredClosure;
80   std::map<change_ty, std::set<change_ty> > SuccClosure;
81 
82 private:
pred_begin(change_ty Node)83   pred_iterator_ty pred_begin(change_ty Node) {
84     assert(Predecessors.count(Node) && "Invalid node!");
85     return Predecessors[Node].begin();
86   }
pred_end(change_ty Node)87   pred_iterator_ty pred_end(change_ty Node) {
88     assert(Predecessors.count(Node) && "Invalid node!");
89     return Predecessors[Node].end();
90   }
91 
pred_closure_begin(change_ty Node)92   pred_closure_iterator_ty pred_closure_begin(change_ty Node) {
93     assert(PredClosure.count(Node) && "Invalid node!");
94     return PredClosure[Node].begin();
95   }
pred_closure_end(change_ty Node)96   pred_closure_iterator_ty pred_closure_end(change_ty Node) {
97     assert(PredClosure.count(Node) && "Invalid node!");
98     return PredClosure[Node].end();
99   }
100 
succ_begin(change_ty Node)101   succ_iterator_ty succ_begin(change_ty Node) {
102     assert(Successors.count(Node) && "Invalid node!");
103     return Successors[Node].begin();
104   }
succ_end(change_ty Node)105   succ_iterator_ty succ_end(change_ty Node) {
106     assert(Successors.count(Node) && "Invalid node!");
107     return Successors[Node].end();
108   }
109 
succ_closure_begin(change_ty Node)110   succ_closure_iterator_ty succ_closure_begin(change_ty Node) {
111     assert(SuccClosure.count(Node) && "Invalid node!");
112     return SuccClosure[Node].begin();
113   }
succ_closure_end(change_ty Node)114   succ_closure_iterator_ty succ_closure_end(change_ty Node) {
115     assert(SuccClosure.count(Node) && "Invalid node!");
116     return SuccClosure[Node].end();
117   }
118 
UpdatedSearchState(const changeset_ty & Changes,const changesetlist_ty & Sets,const changeset_ty & Required)119   void UpdatedSearchState(const changeset_ty &Changes,
120                           const changesetlist_ty &Sets,
121                           const changeset_ty &Required) {
122     DDA.UpdatedSearchState(Changes, Sets, Required);
123   }
124 
125   /// ExecuteOneTest - Execute a single test predicate on the change set \arg S.
ExecuteOneTest(const changeset_ty & S)126   bool ExecuteOneTest(const changeset_ty &S) {
127     // Check dependencies invariant.
128     DEBUG({
129         for (changeset_ty::const_iterator it = S.begin(),
130                ie = S.end(); it != ie; ++it)
131           for (succ_iterator_ty it2 = succ_begin(*it),
132                  ie2 = succ_end(*it); it2 != ie2; ++it2)
133             assert(S.count(*it2) && "Attempt to run invalid changeset!");
134       });
135 
136     return DDA.ExecuteOneTest(S);
137   }
138 
139 public:
140   DAGDeltaAlgorithmImpl(DAGDeltaAlgorithm &_DDA,
141                         const changeset_ty &_Changes,
142                         const std::vector<edge_ty> &_Dependencies);
143 
144   changeset_ty Run();
145 
146   /// GetTestResult - Get the test result for the active set \arg Changes with
147   /// \arg Required changes from the cache, executing the test if necessary.
148   ///
149   /// \param Changes - The set of active changes being minimized, which should
150   /// have their pred closure included in the test.
151   /// \param Required - The set of changes which have previously been
152   /// established to be required.
153   /// \return - The test result.
154   bool GetTestResult(const changeset_ty &Changes, const changeset_ty &Required);
155 };
156 
157 /// Helper object for minimizing an active set of changes.
158 class DeltaActiveSetHelper : public DeltaAlgorithm {
159   DAGDeltaAlgorithmImpl &DDAI;
160 
161   const changeset_ty &Required;
162 
163 protected:
164   /// UpdatedSearchState - Callback used when the search state changes.
UpdatedSearchState(const changeset_ty & Changes,const changesetlist_ty & Sets)165   virtual void UpdatedSearchState(const changeset_ty &Changes,
166                                   const changesetlist_ty &Sets) {
167     DDAI.UpdatedSearchState(Changes, Sets, Required);
168   }
169 
ExecuteOneTest(const changeset_ty & S)170   virtual bool ExecuteOneTest(const changeset_ty &S) {
171     return DDAI.GetTestResult(S, Required);
172   }
173 
174 public:
DeltaActiveSetHelper(DAGDeltaAlgorithmImpl & _DDAI,const changeset_ty & _Required)175   DeltaActiveSetHelper(DAGDeltaAlgorithmImpl &_DDAI,
176                        const changeset_ty &_Required)
177     : DDAI(_DDAI), Required(_Required) {}
178 };
179 
180 }
181 
DAGDeltaAlgorithmImpl(DAGDeltaAlgorithm & _DDA,const changeset_ty & _Changes,const std::vector<edge_ty> & _Dependencies)182 DAGDeltaAlgorithmImpl::DAGDeltaAlgorithmImpl(DAGDeltaAlgorithm &_DDA,
183                                              const changeset_ty &_Changes,
184                                              const std::vector<edge_ty>
185                                                &_Dependencies)
186   : DDA(_DDA),
187     Changes(_Changes),
188     Dependencies(_Dependencies)
189 {
190   for (changeset_ty::const_iterator it = Changes.begin(),
191          ie = Changes.end(); it != ie; ++it) {
192     Predecessors.insert(std::make_pair(*it, std::vector<change_ty>()));
193     Successors.insert(std::make_pair(*it, std::vector<change_ty>()));
194   }
195   for (std::vector<edge_ty>::const_iterator it = Dependencies.begin(),
196          ie = Dependencies.end(); it != ie; ++it) {
197     Predecessors[it->second].push_back(it->first);
198     Successors[it->first].push_back(it->second);
199   }
200 
201   // Compute the roots.
202   for (changeset_ty::const_iterator it = Changes.begin(),
203          ie = Changes.end(); it != ie; ++it)
204     if (succ_begin(*it) == succ_end(*it))
205       Roots.push_back(*it);
206 
207   // Pre-compute the closure of the successor relation.
208   std::vector<change_ty> Worklist(Roots.begin(), Roots.end());
209   while (!Worklist.empty()) {
210     change_ty Change = Worklist.back();
211     Worklist.pop_back();
212 
213     std::set<change_ty> &ChangeSuccs = SuccClosure[Change];
214     for (pred_iterator_ty it = pred_begin(Change),
215            ie = pred_end(Change); it != ie; ++it) {
216       SuccClosure[*it].insert(Change);
217       SuccClosure[*it].insert(ChangeSuccs.begin(), ChangeSuccs.end());
218       Worklist.push_back(*it);
219     }
220   }
221 
222   // Invert to form the predecessor closure map.
223   for (changeset_ty::const_iterator it = Changes.begin(),
224          ie = Changes.end(); it != ie; ++it)
225     PredClosure.insert(std::make_pair(*it, std::set<change_ty>()));
226   for (changeset_ty::const_iterator it = Changes.begin(),
227          ie = Changes.end(); it != ie; ++it)
228     for (succ_closure_iterator_ty it2 = succ_closure_begin(*it),
229            ie2 = succ_closure_end(*it); it2 != ie2; ++it2)
230       PredClosure[*it2].insert(*it);
231 
232   // Dump useful debug info.
233   DEBUG({
234       llvm::errs() << "-- DAGDeltaAlgorithmImpl --\n";
235       llvm::errs() << "Changes: [";
236       for (changeset_ty::const_iterator it = Changes.begin(),
237              ie = Changes.end(); it != ie; ++it) {
238         if (it != Changes.begin()) llvm::errs() << ", ";
239         llvm::errs() << *it;
240 
241         if (succ_begin(*it) != succ_end(*it)) {
242           llvm::errs() << "(";
243           for (succ_iterator_ty it2 = succ_begin(*it),
244                  ie2 = succ_end(*it); it2 != ie2; ++it2) {
245             if (it2 != succ_begin(*it)) llvm::errs() << ", ";
246             llvm::errs() << "->" << *it2;
247           }
248           llvm::errs() << ")";
249         }
250       }
251       llvm::errs() << "]\n";
252 
253       llvm::errs() << "Roots: [";
254       for (std::vector<change_ty>::const_iterator it = Roots.begin(),
255              ie = Roots.end(); it != ie; ++it) {
256         if (it != Roots.begin()) llvm::errs() << ", ";
257         llvm::errs() << *it;
258       }
259       llvm::errs() << "]\n";
260 
261       llvm::errs() << "Predecessor Closure:\n";
262       for (changeset_ty::const_iterator it = Changes.begin(),
263              ie = Changes.end(); it != ie; ++it) {
264         llvm::errs() << format("  %-4d: [", *it);
265         for (pred_closure_iterator_ty it2 = pred_closure_begin(*it),
266                ie2 = pred_closure_end(*it); it2 != ie2; ++it2) {
267           if (it2 != pred_closure_begin(*it)) llvm::errs() << ", ";
268           llvm::errs() << *it2;
269         }
270         llvm::errs() << "]\n";
271       }
272 
273       llvm::errs() << "Successor Closure:\n";
274       for (changeset_ty::const_iterator it = Changes.begin(),
275              ie = Changes.end(); it != ie; ++it) {
276         llvm::errs() << format("  %-4d: [", *it);
277         for (succ_closure_iterator_ty it2 = succ_closure_begin(*it),
278                ie2 = succ_closure_end(*it); it2 != ie2; ++it2) {
279           if (it2 != succ_closure_begin(*it)) llvm::errs() << ", ";
280           llvm::errs() << *it2;
281         }
282         llvm::errs() << "]\n";
283       }
284 
285       llvm::errs() << "\n\n";
286     });
287 }
288 
GetTestResult(const changeset_ty & Changes,const changeset_ty & Required)289 bool DAGDeltaAlgorithmImpl::GetTestResult(const changeset_ty &Changes,
290                                           const changeset_ty &Required) {
291   changeset_ty Extended(Required);
292   Extended.insert(Changes.begin(), Changes.end());
293   for (changeset_ty::const_iterator it = Changes.begin(),
294          ie = Changes.end(); it != ie; ++it)
295     Extended.insert(pred_closure_begin(*it), pred_closure_end(*it));
296 
297   if (FailedTestsCache.count(Extended))
298     return false;
299 
300   bool Result = ExecuteOneTest(Extended);
301   if (!Result)
302     FailedTestsCache.insert(Extended);
303 
304   return Result;
305 }
306 
307 DAGDeltaAlgorithm::changeset_ty
Run()308 DAGDeltaAlgorithmImpl::Run() {
309   // The current set of changes we are minimizing, starting at the roots.
310   changeset_ty CurrentSet(Roots.begin(), Roots.end());
311 
312   // The set of required changes.
313   changeset_ty Required;
314 
315   // Iterate until the active set of changes is empty. Convergence is guaranteed
316   // assuming input was a DAG.
317   //
318   // Invariant:  CurrentSet intersect Required == {}
319   // Invariant:  Required == (Required union succ*(Required))
320   while (!CurrentSet.empty()) {
321     DEBUG({
322         llvm::errs() << "DAG_DD - " << CurrentSet.size() << " active changes, "
323                      << Required.size() << " required changes\n";
324       });
325 
326     // Minimize the current set of changes.
327     DeltaActiveSetHelper Helper(*this, Required);
328     changeset_ty CurrentMinSet = Helper.Run(CurrentSet);
329 
330     // Update the set of required changes. Since
331     //   CurrentMinSet subset CurrentSet
332     // and after the last iteration,
333     //   succ(CurrentSet) subset Required
334     // then
335     //   succ(CurrentMinSet) subset Required
336     // and our invariant on Required is maintained.
337     Required.insert(CurrentMinSet.begin(), CurrentMinSet.end());
338 
339     // Replace the current set with the predecssors of the minimized set of
340     // active changes.
341     CurrentSet.clear();
342     for (changeset_ty::const_iterator it = CurrentMinSet.begin(),
343            ie = CurrentMinSet.end(); it != ie; ++it)
344       CurrentSet.insert(pred_begin(*it), pred_end(*it));
345 
346     // FIXME: We could enforce CurrentSet intersect Required == {} here if we
347     // wanted to protect against cyclic graphs.
348   }
349 
350   return Required;
351 }
352 
353 DAGDeltaAlgorithm::changeset_ty
Run(const changeset_ty & Changes,const std::vector<edge_ty> & Dependencies)354 DAGDeltaAlgorithm::Run(const changeset_ty &Changes,
355                        const std::vector<edge_ty> &Dependencies) {
356   return DAGDeltaAlgorithmImpl(*this, Changes, Dependencies).Run();
357 }
358