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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:
     85   pred_iterator_ty pred_begin(change_ty Node) {
     86     assert(Predecessors.count(Node) && "Invalid node!");
     87     return Predecessors[Node].begin();
     88   }
     89   pred_iterator_ty pred_end(change_ty Node) {
     90     assert(Predecessors.count(Node) && "Invalid node!");
     91     return Predecessors[Node].end();
     92   }
     93 
     94   pred_closure_iterator_ty pred_closure_begin(change_ty Node) {
     95     assert(PredClosure.count(Node) && "Invalid node!");
     96     return PredClosure[Node].begin();
     97   }
     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 
    103   succ_iterator_ty succ_begin(change_ty Node) {
    104     assert(Successors.count(Node) && "Invalid node!");
    105     return Successors[Node].begin();
    106   }
    107   succ_iterator_ty succ_end(change_ty Node) {
    108     assert(Successors.count(Node) && "Invalid node!");
    109     return Successors[Node].end();
    110   }
    111 
    112   succ_closure_iterator_ty succ_closure_begin(change_ty Node) {
    113     assert(SuccClosure.count(Node) && "Invalid node!");
    114     return SuccClosure[Node].begin();
    115   }
    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 
    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.
    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.
    167   void UpdatedSearchState(const changeset_ty &Changes,
    168                                   const changesetlist_ty &Sets) override {
    169     DDAI.UpdatedSearchState(Changes, Sets, Required);
    170   }
    171 
    172   bool ExecuteOneTest(const changeset_ty &S) override {
    173     return DDAI.GetTestResult(S, Required);
    174   }
    175 
    176 public:
    177   DeltaActiveSetHelper(DAGDeltaAlgorithmImpl &_DDAI,
    178                        const changeset_ty &_Required)
    179     : DDAI(_DDAI), Required(_Required) {}
    180 };
    181 
    182 }
    183 
    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 
    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
    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 
    355 void DAGDeltaAlgorithm::anchor() {
    356 }
    357 
    358 DAGDeltaAlgorithm::changeset_ty
    359 DAGDeltaAlgorithm::Run(const changeset_ty &Changes,
    360                        const std::vector<edge_ty> &Dependencies) {
    361   return DAGDeltaAlgorithmImpl(*this, Changes, Dependencies).Run();
    362 }
    363