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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 #define DEBUG_TYPE "dag-delta"
46 
47 namespace {
48 
49 class DAGDeltaAlgorithmImpl {
50   friend class DeltaActiveSetHelper;
51 
52 public:
53   typedef DAGDeltaAlgorithm::change_ty change_ty;
54   typedef DAGDeltaAlgorithm::changeset_ty changeset_ty;
55   typedef DAGDeltaAlgorithm::changesetlist_ty changesetlist_ty;
56   typedef DAGDeltaAlgorithm::edge_ty edge_ty;
57 
58 private:
59   typedef std::vector<change_ty>::iterator pred_iterator_ty;
60   typedef std::vector<change_ty>::iterator succ_iterator_ty;
61   typedef std::set<change_ty>::iterator pred_closure_iterator_ty;
62   typedef std::set<change_ty>::iterator succ_closure_iterator_ty;
63 
64   DAGDeltaAlgorithm &DDA;
65 
66   const changeset_ty &Changes;
67   const std::vector<edge_ty> &Dependencies;
68 
69   std::vector<change_ty> Roots;
70 
71   /// Cache of failed test results. Successful test results are never cached
72   /// since we always reduce following a success. We maintain an independent
73   /// cache from that used by the individual delta passes because we may get
74   /// hits across multiple individual delta invocations.
75   mutable std::set<changeset_ty> FailedTestsCache;
76 
77   // FIXME: Gross.
78   std::map<change_ty, std::vector<change_ty> > Predecessors;
79   std::map<change_ty, std::vector<change_ty> > Successors;
80 
81   std::map<change_ty, std::set<change_ty> > PredClosure;
82   std::map<change_ty, std::set<change_ty> > SuccClosure;
83 
84 private:
pred_begin(change_ty Node)85   pred_iterator_ty pred_begin(change_ty Node) {
86     assert(Predecessors.count(Node) && "Invalid node!");
87     return Predecessors[Node].begin();
88   }
pred_end(change_ty Node)89   pred_iterator_ty pred_end(change_ty Node) {
90     assert(Predecessors.count(Node) && "Invalid node!");
91     return Predecessors[Node].end();
92   }
93 
pred_closure_begin(change_ty Node)94   pred_closure_iterator_ty pred_closure_begin(change_ty Node) {
95     assert(PredClosure.count(Node) && "Invalid node!");
96     return PredClosure[Node].begin();
97   }
pred_closure_end(change_ty Node)98   pred_closure_iterator_ty pred_closure_end(change_ty Node) {
99     assert(PredClosure.count(Node) && "Invalid node!");
100     return PredClosure[Node].end();
101   }
102 
succ_begin(change_ty Node)103   succ_iterator_ty succ_begin(change_ty Node) {
104     assert(Successors.count(Node) && "Invalid node!");
105     return Successors[Node].begin();
106   }
succ_end(change_ty Node)107   succ_iterator_ty succ_end(change_ty Node) {
108     assert(Successors.count(Node) && "Invalid node!");
109     return Successors[Node].end();
110   }
111 
succ_closure_begin(change_ty Node)112   succ_closure_iterator_ty succ_closure_begin(change_ty Node) {
113     assert(SuccClosure.count(Node) && "Invalid node!");
114     return SuccClosure[Node].begin();
115   }
succ_closure_end(change_ty Node)116   succ_closure_iterator_ty succ_closure_end(change_ty Node) {
117     assert(SuccClosure.count(Node) && "Invalid node!");
118     return SuccClosure[Node].end();
119   }
120 
UpdatedSearchState(const changeset_ty & Changes,const changesetlist_ty & Sets,const changeset_ty & Required)121   void UpdatedSearchState(const changeset_ty &Changes,
122                           const changesetlist_ty &Sets,
123                           const changeset_ty &Required) {
124     DDA.UpdatedSearchState(Changes, Sets, Required);
125   }
126 
127   /// ExecuteOneTest - Execute a single test predicate on the change set \p S.
ExecuteOneTest(const changeset_ty & S)128   bool ExecuteOneTest(const changeset_ty &S) {
129     // Check dependencies invariant.
130     DEBUG({
131         for (changeset_ty::const_iterator it = S.begin(),
132                ie = S.end(); it != ie; ++it)
133           for (succ_iterator_ty it2 = succ_begin(*it),
134                  ie2 = succ_end(*it); it2 != ie2; ++it2)
135             assert(S.count(*it2) && "Attempt to run invalid changeset!");
136       });
137 
138     return DDA.ExecuteOneTest(S);
139   }
140 
141 public:
142   DAGDeltaAlgorithmImpl(DAGDeltaAlgorithm &_DDA,
143                         const changeset_ty &_Changes,
144                         const std::vector<edge_ty> &_Dependencies);
145 
146   changeset_ty Run();
147 
148   /// GetTestResult - Get the test result for the active set \p Changes with
149   /// \p Required changes from the cache, executing the test if necessary.
150   ///
151   /// \param Changes - The set of active changes being minimized, which should
152   /// have their pred closure included in the test.
153   /// \param Required - The set of changes which have previously been
154   /// established to be required.
155   /// \return - The test result.
156   bool GetTestResult(const changeset_ty &Changes, const changeset_ty &Required);
157 };
158 
159 /// Helper object for minimizing an active set of changes.
160 class DeltaActiveSetHelper : public DeltaAlgorithm {
161   DAGDeltaAlgorithmImpl &DDAI;
162 
163   const changeset_ty &Required;
164 
165 protected:
166   /// UpdatedSearchState - Callback used when the search state changes.
UpdatedSearchState(const changeset_ty & Changes,const changesetlist_ty & Sets)167   void UpdatedSearchState(const changeset_ty &Changes,
168                                   const changesetlist_ty &Sets) override {
169     DDAI.UpdatedSearchState(Changes, Sets, Required);
170   }
171 
ExecuteOneTest(const changeset_ty & S)172   bool ExecuteOneTest(const changeset_ty &S) override {
173     return DDAI.GetTestResult(S, Required);
174   }
175 
176 public:
DeltaActiveSetHelper(DAGDeltaAlgorithmImpl & _DDAI,const changeset_ty & _Required)177   DeltaActiveSetHelper(DAGDeltaAlgorithmImpl &_DDAI,
178                        const changeset_ty &_Required)
179     : DDAI(_DDAI), Required(_Required) {}
180 };
181 
182 }
183 
DAGDeltaAlgorithmImpl(DAGDeltaAlgorithm & _DDA,const changeset_ty & _Changes,const std::vector<edge_ty> & _Dependencies)184 DAGDeltaAlgorithmImpl::DAGDeltaAlgorithmImpl(DAGDeltaAlgorithm &_DDA,
185                                              const changeset_ty &_Changes,
186                                              const std::vector<edge_ty>
187                                                &_Dependencies)
188   : DDA(_DDA),
189     Changes(_Changes),
190     Dependencies(_Dependencies)
191 {
192   for (changeset_ty::const_iterator it = Changes.begin(),
193          ie = Changes.end(); it != ie; ++it) {
194     Predecessors.insert(std::make_pair(*it, std::vector<change_ty>()));
195     Successors.insert(std::make_pair(*it, std::vector<change_ty>()));
196   }
197   for (std::vector<edge_ty>::const_iterator it = Dependencies.begin(),
198          ie = Dependencies.end(); it != ie; ++it) {
199     Predecessors[it->second].push_back(it->first);
200     Successors[it->first].push_back(it->second);
201   }
202 
203   // Compute the roots.
204   for (changeset_ty::const_iterator it = Changes.begin(),
205          ie = Changes.end(); it != ie; ++it)
206     if (succ_begin(*it) == succ_end(*it))
207       Roots.push_back(*it);
208 
209   // Pre-compute the closure of the successor relation.
210   std::vector<change_ty> Worklist(Roots.begin(), Roots.end());
211   while (!Worklist.empty()) {
212     change_ty Change = Worklist.back();
213     Worklist.pop_back();
214 
215     std::set<change_ty> &ChangeSuccs = SuccClosure[Change];
216     for (pred_iterator_ty it = pred_begin(Change),
217            ie = pred_end(Change); it != ie; ++it) {
218       SuccClosure[*it].insert(Change);
219       SuccClosure[*it].insert(ChangeSuccs.begin(), ChangeSuccs.end());
220       Worklist.push_back(*it);
221     }
222   }
223 
224   // Invert to form the predecessor closure map.
225   for (changeset_ty::const_iterator it = Changes.begin(),
226          ie = Changes.end(); it != ie; ++it)
227     PredClosure.insert(std::make_pair(*it, std::set<change_ty>()));
228   for (changeset_ty::const_iterator it = Changes.begin(),
229          ie = Changes.end(); it != ie; ++it)
230     for (succ_closure_iterator_ty it2 = succ_closure_begin(*it),
231            ie2 = succ_closure_end(*it); it2 != ie2; ++it2)
232       PredClosure[*it2].insert(*it);
233 
234   // Dump useful debug info.
235   DEBUG({
236       llvm::errs() << "-- DAGDeltaAlgorithmImpl --\n";
237       llvm::errs() << "Changes: [";
238       for (changeset_ty::const_iterator it = Changes.begin(),
239              ie = Changes.end(); it != ie; ++it) {
240         if (it != Changes.begin()) llvm::errs() << ", ";
241         llvm::errs() << *it;
242 
243         if (succ_begin(*it) != succ_end(*it)) {
244           llvm::errs() << "(";
245           for (succ_iterator_ty it2 = succ_begin(*it),
246                  ie2 = succ_end(*it); it2 != ie2; ++it2) {
247             if (it2 != succ_begin(*it)) llvm::errs() << ", ";
248             llvm::errs() << "->" << *it2;
249           }
250           llvm::errs() << ")";
251         }
252       }
253       llvm::errs() << "]\n";
254 
255       llvm::errs() << "Roots: [";
256       for (std::vector<change_ty>::const_iterator it = Roots.begin(),
257              ie = Roots.end(); it != ie; ++it) {
258         if (it != Roots.begin()) llvm::errs() << ", ";
259         llvm::errs() << *it;
260       }
261       llvm::errs() << "]\n";
262 
263       llvm::errs() << "Predecessor Closure:\n";
264       for (changeset_ty::const_iterator it = Changes.begin(),
265              ie = Changes.end(); it != ie; ++it) {
266         llvm::errs() << format("  %-4d: [", *it);
267         for (pred_closure_iterator_ty it2 = pred_closure_begin(*it),
268                ie2 = pred_closure_end(*it); it2 != ie2; ++it2) {
269           if (it2 != pred_closure_begin(*it)) llvm::errs() << ", ";
270           llvm::errs() << *it2;
271         }
272         llvm::errs() << "]\n";
273       }
274 
275       llvm::errs() << "Successor Closure:\n";
276       for (changeset_ty::const_iterator it = Changes.begin(),
277              ie = Changes.end(); it != ie; ++it) {
278         llvm::errs() << format("  %-4d: [", *it);
279         for (succ_closure_iterator_ty it2 = succ_closure_begin(*it),
280                ie2 = succ_closure_end(*it); it2 != ie2; ++it2) {
281           if (it2 != succ_closure_begin(*it)) llvm::errs() << ", ";
282           llvm::errs() << *it2;
283         }
284         llvm::errs() << "]\n";
285       }
286 
287       llvm::errs() << "\n\n";
288     });
289 }
290 
GetTestResult(const changeset_ty & Changes,const changeset_ty & Required)291 bool DAGDeltaAlgorithmImpl::GetTestResult(const changeset_ty &Changes,
292                                           const changeset_ty &Required) {
293   changeset_ty Extended(Required);
294   Extended.insert(Changes.begin(), Changes.end());
295   for (changeset_ty::const_iterator it = Changes.begin(),
296          ie = Changes.end(); it != ie; ++it)
297     Extended.insert(pred_closure_begin(*it), pred_closure_end(*it));
298 
299   if (FailedTestsCache.count(Extended))
300     return false;
301 
302   bool Result = ExecuteOneTest(Extended);
303   if (!Result)
304     FailedTestsCache.insert(Extended);
305 
306   return Result;
307 }
308 
309 DAGDeltaAlgorithm::changeset_ty
Run()310 DAGDeltaAlgorithmImpl::Run() {
311   // The current set of changes we are minimizing, starting at the roots.
312   changeset_ty CurrentSet(Roots.begin(), Roots.end());
313 
314   // The set of required changes.
315   changeset_ty Required;
316 
317   // Iterate until the active set of changes is empty. Convergence is guaranteed
318   // assuming input was a DAG.
319   //
320   // Invariant:  CurrentSet intersect Required == {}
321   // Invariant:  Required == (Required union succ*(Required))
322   while (!CurrentSet.empty()) {
323     DEBUG({
324         llvm::errs() << "DAG_DD - " << CurrentSet.size() << " active changes, "
325                      << Required.size() << " required changes\n";
326       });
327 
328     // Minimize the current set of changes.
329     DeltaActiveSetHelper Helper(*this, Required);
330     changeset_ty CurrentMinSet = Helper.Run(CurrentSet);
331 
332     // Update the set of required changes. Since
333     //   CurrentMinSet subset CurrentSet
334     // and after the last iteration,
335     //   succ(CurrentSet) subset Required
336     // then
337     //   succ(CurrentMinSet) subset Required
338     // and our invariant on Required is maintained.
339     Required.insert(CurrentMinSet.begin(), CurrentMinSet.end());
340 
341     // Replace the current set with the predecssors of the minimized set of
342     // active changes.
343     CurrentSet.clear();
344     for (changeset_ty::const_iterator it = CurrentMinSet.begin(),
345            ie = CurrentMinSet.end(); it != ie; ++it)
346       CurrentSet.insert(pred_begin(*it), pred_end(*it));
347 
348     // FIXME: We could enforce CurrentSet intersect Required == {} here if we
349     // wanted to protect against cyclic graphs.
350   }
351 
352   return Required;
353 }
354 
anchor()355 void DAGDeltaAlgorithm::anchor() {
356 }
357 
358 DAGDeltaAlgorithm::changeset_ty
Run(const changeset_ty & Changes,const std::vector<edge_ty> & Dependencies)359 DAGDeltaAlgorithm::Run(const changeset_ty &Changes,
360                        const std::vector<edge_ty> &Dependencies) {
361   return DAGDeltaAlgorithmImpl(*this, Changes, Dependencies).Run();
362 }
363