1//===- NaryReassociate.h - Reassociate n-ary expressions --------*- C++ -*-===//
2//
3// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
4// See https://llvm.org/LICENSE.txt for license information.
5// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
6//
7//===----------------------------------------------------------------------===//
8//
9// This pass reassociates n-ary add expressions and eliminates the redundancy
10// exposed by the reassociation.
11//
12// A motivating example:
13//
14//   void foo(int a, int b) {
15//     bar(a + b);
16//     bar((a + 2) + b);
17//   }
18//
19// An ideal compiler should reassociate (a + 2) + b to (a + b) + 2 and simplify
20// the above code to
21//
22//   int t = a + b;
23//   bar(t);
24//   bar(t + 2);
25//
26// However, the Reassociate pass is unable to do that because it processes each
27// instruction individually and believes (a + 2) + b is the best form according
28// to its rank system.
29//
30// To address this limitation, NaryReassociate reassociates an expression in a
31// form that reuses existing instructions. As a result, NaryReassociate can
32// reassociate (a + 2) + b in the example to (a + b) + 2 because it detects that
33// (a + b) is computed before.
34//
35// NaryReassociate works as follows. For every instruction in the form of (a +
36// b) + c, it checks whether a + c or b + c is already computed by a dominating
37// instruction. If so, it then reassociates (a + b) + c into (a + c) + b or (b +
38// c) + a and removes the redundancy accordingly. To efficiently look up whether
39// an expression is computed before, we store each instruction seen and its SCEV
40// into an SCEV-to-instruction map.
41//
42// Although the algorithm pattern-matches only ternary additions, it
43// automatically handles many >3-ary expressions by walking through the function
44// in the depth-first order. For example, given
45//
46//   (a + c) + d
47//   ((a + b) + c) + d
48//
49// NaryReassociate first rewrites (a + b) + c to (a + c) + b, and then rewrites
50// ((a + c) + b) + d into ((a + c) + d) + b.
51//
52// Finally, the above dominator-based algorithm may need to be run multiple
53// iterations before emitting optimal code. One source of this need is that we
54// only split an operand when it is used only once. The above algorithm can
55// eliminate an instruction and decrease the usage count of its operands. As a
56// result, an instruction that previously had multiple uses may become a
57// single-use instruction and thus eligible for split consideration. For
58// example,
59//
60//   ac = a + c
61//   ab = a + b
62//   abc = ab + c
63//   ab2 = ab + b
64//   ab2c = ab2 + c
65//
66// In the first iteration, we cannot reassociate abc to ac+b because ab is used
67// twice. However, we can reassociate ab2c to abc+b in the first iteration. As a
68// result, ab2 becomes dead and ab will be used only once in the second
69// iteration.
70//
71// Limitations and TODO items:
72//
73// 1) We only considers n-ary adds and muls for now. This should be extended
74// and generalized.
75//
76//===----------------------------------------------------------------------===//
77
78#ifndef LLVM_TRANSFORMS_SCALAR_NARYREASSOCIATE_H
79#define LLVM_TRANSFORMS_SCALAR_NARYREASSOCIATE_H
80
81#include "llvm/ADT/DenseMap.h"
82#include "llvm/ADT/SmallVector.h"
83#include "llvm/IR/PassManager.h"
84#include "llvm/IR/ValueHandle.h"
85
86namespace llvm {
87
88class AssumptionCache;
89class BinaryOperator;
90class DataLayout;
91class DominatorTree;
92class Function;
93class GetElementPtrInst;
94class Instruction;
95class ScalarEvolution;
96class SCEV;
97class TargetLibraryInfo;
98class TargetTransformInfo;
99class Type;
100class Value;
101
102class NaryReassociatePass : public PassInfoMixin<NaryReassociatePass> {
103public:
104  PreservedAnalyses run(Function &F, FunctionAnalysisManager &AM);
105
106  // Glue for old PM.
107  bool runImpl(Function &F, AssumptionCache *AC_, DominatorTree *DT_,
108               ScalarEvolution *SE_, TargetLibraryInfo *TLI_,
109               TargetTransformInfo *TTI_);
110
111private:
112  // Runs only one iteration of the dominator-based algorithm. See the header
113  // comments for why we need multiple iterations.
114  bool doOneIteration(Function &F);
115
116  // Reassociates I for better CSE.
117  Instruction *tryReassociate(Instruction *I, const SCEV *&OrigSCEV);
118
119  // Reassociate GEP for better CSE.
120  Instruction *tryReassociateGEP(GetElementPtrInst *GEP);
121
122  // Try splitting GEP at the I-th index and see whether either part can be
123  // CSE'ed. This is a helper function for tryReassociateGEP.
124  //
125  // \p IndexedType The element type indexed by GEP's I-th index. This is
126  //                equivalent to
127  //                  GEP->getIndexedType(GEP->getPointerOperand(), 0-th index,
128  //                                      ..., i-th index).
129  GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
130                                              unsigned I, Type *IndexedType);
131
132  // Given GEP's I-th index = LHS + RHS, see whether &Base[..][LHS][..] or
133  // &Base[..][RHS][..] can be CSE'ed and rewrite GEP accordingly.
134  GetElementPtrInst *tryReassociateGEPAtIndex(GetElementPtrInst *GEP,
135                                              unsigned I, Value *LHS,
136                                              Value *RHS, Type *IndexedType);
137
138  // Reassociate binary operators for better CSE.
139  Instruction *tryReassociateBinaryOp(BinaryOperator *I);
140
141  // A helper function for tryReassociateBinaryOp. LHS and RHS are explicitly
142  // passed.
143  Instruction *tryReassociateBinaryOp(Value *LHS, Value *RHS,
144                                      BinaryOperator *I);
145  // Rewrites I to (LHS op RHS) if LHS is computed already.
146  Instruction *tryReassociatedBinaryOp(const SCEV *LHS, Value *RHS,
147                                       BinaryOperator *I);
148
149  // Tries to match Op1 and Op2 by using V.
150  bool matchTernaryOp(BinaryOperator *I, Value *V, Value *&Op1, Value *&Op2);
151
152  // Gets SCEV for (LHS op RHS).
153  const SCEV *getBinarySCEV(BinaryOperator *I, const SCEV *LHS,
154                            const SCEV *RHS);
155
156  // Returns the closest dominator of \c Dominatee that computes
157  // \c CandidateExpr. Returns null if not found.
158  Instruction *findClosestMatchingDominator(const SCEV *CandidateExpr,
159                                            Instruction *Dominatee);
160
161  // Try to match \p I as signed/unsigned Min/Max and reassociate it. \p
162  // OrigSCEV is set if \I matches Min/Max regardless whether resassociation is
163  // done or not. If reassociation was successful newly generated instruction is
164  // returned, otherwise nullptr.
165  template <typename PredT>
166  Instruction *matchAndReassociateMinOrMax(Instruction *I,
167                                           const SCEV *&OrigSCEV);
168
169  // Reassociate Min/Max.
170  template <typename MaxMinT>
171  Value *tryReassociateMinOrMax(Instruction *I, MaxMinT MaxMinMatch, Value *LHS,
172                                Value *RHS);
173
174  // GetElementPtrInst implicitly sign-extends an index if the index is shorter
175  // than the pointer size. This function returns whether Index is shorter than
176  // GEP's pointer size, i.e., whether Index needs to be sign-extended in order
177  // to be an index of GEP.
178  bool requiresSignExtension(Value *Index, GetElementPtrInst *GEP);
179
180  AssumptionCache *AC;
181  const DataLayout *DL;
182  DominatorTree *DT;
183  ScalarEvolution *SE;
184  TargetLibraryInfo *TLI;
185  TargetTransformInfo *TTI;
186
187  // A lookup table quickly telling which instructions compute the given SCEV.
188  // Note that there can be multiple instructions at different locations
189  // computing to the same SCEV, so we map a SCEV to an instruction list.  For
190  // example,
191  //
192  //   if (p1)
193  //     foo(a + b);
194  //   if (p2)
195  //     bar(a + b);
196  DenseMap<const SCEV *, SmallVector<WeakTrackingVH, 2>> SeenExprs;
197};
198
199} // end namespace llvm
200
201#endif // LLVM_TRANSFORMS_SCALAR_NARYREASSOCIATE_H
202