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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:
     83   pred_iterator_ty pred_begin(change_ty Node) {
     84     assert(Predecessors.count(Node) && "Invalid node!");
     85     return Predecessors[Node].begin();
     86   }
     87   pred_iterator_ty pred_end(change_ty Node) {
     88     assert(Predecessors.count(Node) && "Invalid node!");
     89     return Predecessors[Node].end();
     90   }
     91 
     92   pred_closure_iterator_ty pred_closure_begin(change_ty Node) {
     93     assert(PredClosure.count(Node) && "Invalid node!");
     94     return PredClosure[Node].begin();
     95   }
     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 
    101   succ_iterator_ty succ_begin(change_ty Node) {
    102     assert(Successors.count(Node) && "Invalid node!");
    103     return Successors[Node].begin();
    104   }
    105   succ_iterator_ty succ_end(change_ty Node) {
    106     assert(Successors.count(Node) && "Invalid node!");
    107     return Successors[Node].end();
    108   }
    109 
    110   succ_closure_iterator_ty succ_closure_begin(change_ty Node) {
    111     assert(SuccClosure.count(Node) && "Invalid node!");
    112     return SuccClosure[Node].begin();
    113   }
    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 
    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.
    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.
    165   virtual void UpdatedSearchState(const changeset_ty &Changes,
    166                                   const changesetlist_ty &Sets) {
    167     DDAI.UpdatedSearchState(Changes, Sets, Required);
    168   }
    169 
    170   virtual bool ExecuteOneTest(const changeset_ty &S) {
    171     return DDAI.GetTestResult(S, Required);
    172   }
    173 
    174 public:
    175   DeltaActiveSetHelper(DAGDeltaAlgorithmImpl &_DDAI,
    176                        const changeset_ty &_Required)
    177     : DDAI(_DDAI), Required(_Required) {}
    178 };
    179 
    180 }
    181 
    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 
    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
    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
    354 DAGDeltaAlgorithm::Run(const changeset_ty &Changes,
    355                        const std::vector<edge_ty> &Dependencies) {
    356   return DAGDeltaAlgorithmImpl(*this, Changes, Dependencies).Run();
    357 }
    358