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