ScalarEvolutionNormalization.cpp revision 46ffb231c6c46f093e0485415f01a1a99f31c8be
1//===- ScalarEvolutionNormalization.cpp - See below -------------*- 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//
10// This file implements utilities for working with "normalized" expressions.
11// See the comments at the top of ScalarEvolutionNormalization.h for details.
12//
13//===----------------------------------------------------------------------===//
14
15#include "llvm/Analysis/Dominators.h"
16#include "llvm/Analysis/LoopInfo.h"
17#include "llvm/Analysis/ScalarEvolutionExpressions.h"
18#include "llvm/Analysis/ScalarEvolutionNormalization.h"
19using namespace llvm;
20
21/// IVUseShouldUsePostIncValue - We have discovered a "User" of an IV expression
22/// and now we need to decide whether the user should use the preinc or post-inc
23/// value.  If this user should use the post-inc version of the IV, return true.
24///
25/// Choosing wrong here can break dominance properties (if we choose to use the
26/// post-inc value when we cannot) or it can end up adding extra live-ranges to
27/// the loop, resulting in reg-reg copies (if we use the pre-inc value when we
28/// should use the post-inc value).
29static bool IVUseShouldUsePostIncValue(Instruction *User, Value *Operand,
30                                       const Loop *L, DominatorTree *DT) {
31  // If the user is in the loop, use the preinc value.
32  if (L->contains(User)) return false;
33
34  BasicBlock *LatchBlock = L->getLoopLatch();
35  if (!LatchBlock)
36    return false;
37
38  // Ok, the user is outside of the loop.  If it is dominated by the latch
39  // block, use the post-inc value.
40  if (DT->dominates(LatchBlock, User->getParent()))
41    return true;
42
43  // There is one case we have to be careful of: PHI nodes.  These little guys
44  // can live in blocks that are not dominated by the latch block, but (since
45  // their uses occur in the predecessor block, not the block the PHI lives in)
46  // should still use the post-inc value.  Check for this case now.
47  PHINode *PN = dyn_cast<PHINode>(User);
48  if (!PN || !Operand) return false; // not a phi, not dominated by latch block.
49
50  // Look at all of the uses of Operand by the PHI node.  If any use corresponds
51  // to a block that is not dominated by the latch block, give up and use the
52  // preincremented value.
53  for (unsigned i = 0, e = PN->getNumIncomingValues(); i != e; ++i)
54    if (PN->getIncomingValue(i) == Operand &&
55        !DT->dominates(LatchBlock, PN->getIncomingBlock(i)))
56      return false;
57
58  // Okay, all uses of Operand by PN are in predecessor blocks that really are
59  // dominated by the latch block.  Use the post-incremented value.
60  return true;
61}
62
63const SCEV *llvm::TransformForPostIncUse(TransformKind Kind,
64                                         const SCEV *S,
65                                         Instruction *User,
66                                         Value *OperandValToReplace,
67                                         PostIncLoopSet &Loops,
68                                         ScalarEvolution &SE,
69                                         DominatorTree &DT) {
70  if (isa<SCEVConstant>(S) || isa<SCEVUnknown>(S))
71    return S;
72
73  if (const SCEVCastExpr *X = dyn_cast<SCEVCastExpr>(S)) {
74    const SCEV *O = X->getOperand();
75    const SCEV *N = TransformForPostIncUse(Kind, O, User, OperandValToReplace,
76                                           Loops, SE, DT);
77    if (O != N)
78      switch (S->getSCEVType()) {
79      case scZeroExtend: return SE.getZeroExtendExpr(N, S->getType());
80      case scSignExtend: return SE.getSignExtendExpr(N, S->getType());
81      case scTruncate: return SE.getTruncateExpr(N, S->getType());
82      default: llvm_unreachable("Unexpected SCEVCastExpr kind!");
83      }
84    return S;
85  }
86
87  if (const SCEVAddRecExpr *AR = dyn_cast<SCEVAddRecExpr>(S)) {
88    // An addrec. This is the interesting part.
89    SmallVector<const SCEV *, 8> Operands;
90    const Loop *L = AR->getLoop();
91    // The addrec conceptually uses its operands at loop entry.
92    Instruction *LUser = L->getHeader()->begin();
93    // Transform each operand.
94    for (SCEVNAryExpr::op_iterator I = AR->op_begin(), E = AR->op_end();
95         I != E; ++I) {
96      const SCEV *O = *I;
97      const SCEV *N = TransformForPostIncUse(Kind, O, LUser, 0, Loops, SE, DT);
98      Operands.push_back(N);
99    }
100    const SCEV *Result = SE.getAddRecExpr(Operands, L);
101    switch (Kind) {
102    default: llvm_unreachable("Unexpected transform name!");
103    case NormalizeAutodetect:
104      if (IVUseShouldUsePostIncValue(User, OperandValToReplace, L, &DT)) {
105        const SCEV *TransformedStep =
106          TransformForPostIncUse(Kind, AR->getStepRecurrence(SE),
107                                 User, OperandValToReplace, Loops, SE, DT);
108        Result = SE.getMinusSCEV(Result, TransformedStep);
109        Loops.insert(L);
110      }
111#if 0
112      // This assert is conceptually correct, but ScalarEvolution currently
113      // sometimes fails to canonicalize two equal SCEVs to exactly the same
114      // form. It's possibly a pessimization when this happens, but it isn't a
115      // correctness problem, so disable this assert for now.
116      assert(S == TransformForPostIncUse(Denormalize, Result,
117                                         User, OperandValToReplace,
118                                         Loops, SE, DT) &&
119             "SCEV normalization is not invertible!");
120#endif
121      break;
122    case Normalize:
123      if (Loops.count(L)) {
124        const SCEV *TransformedStep =
125          TransformForPostIncUse(Kind, AR->getStepRecurrence(SE),
126                                 User, OperandValToReplace, Loops, SE, DT);
127        Result = SE.getMinusSCEV(Result, TransformedStep);
128      }
129#if 0
130      // See the comment on the assert above.
131      assert(S == TransformForPostIncUse(Denormalize, Result,
132                                         User, OperandValToReplace,
133                                         Loops, SE, DT) &&
134             "SCEV normalization is not invertible!");
135#endif
136      break;
137    case Denormalize:
138      if (Loops.count(L))
139        Result = cast<SCEVAddRecExpr>(Result)->getPostIncExpr(SE);
140      break;
141    }
142    return Result;
143  }
144
145  if (const SCEVNAryExpr *X = dyn_cast<SCEVNAryExpr>(S)) {
146    SmallVector<const SCEV *, 8> Operands;
147    bool Changed = false;
148    // Transform each operand.
149    for (SCEVNAryExpr::op_iterator I = X->op_begin(), E = X->op_end();
150         I != E; ++I) {
151      const SCEV *O = *I;
152      const SCEV *N = TransformForPostIncUse(Kind, O, User, OperandValToReplace,
153                                             Loops, SE, DT);
154      Changed |= N != O;
155      Operands.push_back(N);
156    }
157    // If any operand actually changed, return a transformed result.
158    if (Changed)
159      switch (S->getSCEVType()) {
160      case scAddExpr: return SE.getAddExpr(Operands);
161      case scMulExpr: return SE.getMulExpr(Operands);
162      case scSMaxExpr: return SE.getSMaxExpr(Operands);
163      case scUMaxExpr: return SE.getUMaxExpr(Operands);
164      default: llvm_unreachable("Unexpected SCEVNAryExpr kind!");
165      }
166    return S;
167  }
168
169  if (const SCEVUDivExpr *X = dyn_cast<SCEVUDivExpr>(S)) {
170    const SCEV *LO = X->getLHS();
171    const SCEV *RO = X->getRHS();
172    const SCEV *LN = TransformForPostIncUse(Kind, LO, User, OperandValToReplace,
173                                            Loops, SE, DT);
174    const SCEV *RN = TransformForPostIncUse(Kind, RO, User, OperandValToReplace,
175                                            Loops, SE, DT);
176    if (LO != LN || RO != RN)
177      return SE.getUDivExpr(LN, RN);
178    return S;
179  }
180
181  llvm_unreachable("Unexpected SCEV kind!");
182  return 0;
183}
184