| //===- Reassociate.cpp - Reassociate binary expressions -------------------===// | |
| // | |
| // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. | |
| // See https://llvm.org/LICENSE.txt for license information. | |
| // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception | |
| // | |
| //===----------------------------------------------------------------------===// | |
| // | |
| // This pass reassociates commutative expressions in an order that is designed | |
| // to promote better constant propagation, GCSE, LICM, PRE, etc. | |
| // | |
| // For example: 4 + (x + 5) -> x + (4 + 5) | |
| // | |
| // In the implementation of this algorithm, constants are assigned rank = 0, | |
| // function arguments are rank = 1, and other values are assigned ranks | |
| // corresponding to the reverse post order traversal of current function | |
| // (starting at 2), which effectively gives values in deep loops higher rank | |
| // than values not in loops. | |
| // | |
| //===----------------------------------------------------------------------===// | |
| #include "llvm/Transforms/Scalar/Reassociate.h" | |
| #include "llvm/ADT/APFloat.h" | |
| #include "llvm/ADT/APInt.h" | |
| #include "llvm/ADT/DenseMap.h" | |
| #include "llvm/ADT/PostOrderIterator.h" | |
| #include "llvm/ADT/SmallPtrSet.h" | |
| #include "llvm/ADT/SmallSet.h" | |
| #include "llvm/ADT/SmallVector.h" | |
| #include "llvm/ADT/Statistic.h" | |
| #include "llvm/Analysis/BasicAliasAnalysis.h" | |
| #include "llvm/Analysis/ConstantFolding.h" | |
| #include "llvm/Analysis/GlobalsModRef.h" | |
| #include "llvm/Analysis/ValueTracking.h" | |
| #include "llvm/IR/Argument.h" | |
| #include "llvm/IR/BasicBlock.h" | |
| #include "llvm/IR/CFG.h" | |
| #include "llvm/IR/Constant.h" | |
| #include "llvm/IR/Constants.h" | |
| #include "llvm/IR/Function.h" | |
| #include "llvm/IR/IRBuilder.h" | |
| #include "llvm/IR/InstrTypes.h" | |
| #include "llvm/IR/Instruction.h" | |
| #include "llvm/IR/Instructions.h" | |
| #include "llvm/IR/Operator.h" | |
| #include "llvm/IR/PassManager.h" | |
| #include "llvm/IR/PatternMatch.h" | |
| #include "llvm/IR/Type.h" | |
| #include "llvm/IR/User.h" | |
| #include "llvm/IR/Value.h" | |
| #include "llvm/IR/ValueHandle.h" | |
| #include "llvm/InitializePasses.h" | |
| #include "llvm/Pass.h" | |
| #include "llvm/Support/Casting.h" | |
| #include "llvm/Support/Debug.h" | |
| #include "llvm/Support/raw_ostream.h" | |
| #include "llvm/Transforms/Scalar.h" | |
| #include "llvm/Transforms/Utils/Local.h" | |
| #include <algorithm> | |
| #include <cassert> | |
| #include <utility> | |
| using namespace llvm; | |
| using namespace reassociate; | |
| using namespace PatternMatch; | |
| #define DEBUG_TYPE "reassociate" | |
| STATISTIC(NumChanged, "Number of insts reassociated"); | |
| STATISTIC(NumAnnihil, "Number of expr tree annihilated"); | |
| STATISTIC(NumFactor , "Number of multiplies factored"); | |
| #ifndef NDEBUG | |
| /// Print out the expression identified in the Ops list. | |
| static void PrintOps(Instruction *I, const SmallVectorImpl<ValueEntry> &Ops) { | |
| Module *M = I->getModule(); | |
| dbgs() << Instruction::getOpcodeName(I->getOpcode()) << " " | |
| << *Ops[0].Op->getType() << '\t'; | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) { | |
| dbgs() << "[ "; | |
| Ops[i].Op->printAsOperand(dbgs(), false, M); | |
| dbgs() << ", #" << Ops[i].Rank << "] "; | |
| } | |
| } | |
| #endif | |
| /// Utility class representing a non-constant Xor-operand. We classify | |
| /// non-constant Xor-Operands into two categories: | |
| /// C1) The operand is in the form "X & C", where C is a constant and C != ~0 | |
| /// C2) | |
| /// C2.1) The operand is in the form of "X | C", where C is a non-zero | |
| /// constant. | |
| /// C2.2) Any operand E which doesn't fall into C1 and C2.1, we view this | |
| /// operand as "E | 0" | |
| class llvm::reassociate::XorOpnd { | |
| public: | |
| XorOpnd(Value *V); | |
| bool isInvalid() const { return SymbolicPart == nullptr; } | |
| bool isOrExpr() const { return isOr; } | |
| Value *getValue() const { return OrigVal; } | |
| Value *getSymbolicPart() const { return SymbolicPart; } | |
| unsigned getSymbolicRank() const { return SymbolicRank; } | |
| const APInt &getConstPart() const { return ConstPart; } | |
| void Invalidate() { SymbolicPart = OrigVal = nullptr; } | |
| void setSymbolicRank(unsigned R) { SymbolicRank = R; } | |
| private: | |
| Value *OrigVal; | |
| Value *SymbolicPart; | |
| APInt ConstPart; | |
| unsigned SymbolicRank; | |
| bool isOr; | |
| }; | |
| XorOpnd::XorOpnd(Value *V) { | |
| assert(!isa<ConstantInt>(V) && "No ConstantInt"); | |
| OrigVal = V; | |
| Instruction *I = dyn_cast<Instruction>(V); | |
| SymbolicRank = 0; | |
| if (I && (I->getOpcode() == Instruction::Or || | |
| I->getOpcode() == Instruction::And)) { | |
| Value *V0 = I->getOperand(0); | |
| Value *V1 = I->getOperand(1); | |
| const APInt *C; | |
| if (match(V0, m_APInt(C))) | |
| std::swap(V0, V1); | |
| if (match(V1, m_APInt(C))) { | |
| ConstPart = *C; | |
| SymbolicPart = V0; | |
| isOr = (I->getOpcode() == Instruction::Or); | |
| return; | |
| } | |
| } | |
| // view the operand as "V | 0" | |
| SymbolicPart = V; | |
| ConstPart = APInt::getZero(V->getType()->getScalarSizeInBits()); | |
| isOr = true; | |
| } | |
| /// Return true if I is an instruction with the FastMathFlags that are needed | |
| /// for general reassociation set. This is not the same as testing | |
| /// Instruction::isAssociative() because it includes operations like fsub. | |
| /// (This routine is only intended to be called for floating-point operations.) | |
| static bool hasFPAssociativeFlags(Instruction *I) { | |
| assert(I && isa<FPMathOperator>(I) && "Should only check FP ops"); | |
| return I->hasAllowReassoc() && I->hasNoSignedZeros(); | |
| } | |
| /// Return true if V is an instruction of the specified opcode and if it | |
| /// only has one use. | |
| static BinaryOperator *isReassociableOp(Value *V, unsigned Opcode) { | |
| auto *BO = dyn_cast<BinaryOperator>(V); | |
| if (BO && BO->hasOneUse() && BO->getOpcode() == Opcode) | |
| if (!isa<FPMathOperator>(BO) || hasFPAssociativeFlags(BO)) | |
| return BO; | |
| return nullptr; | |
| } | |
| static BinaryOperator *isReassociableOp(Value *V, unsigned Opcode1, | |
| unsigned Opcode2) { | |
| auto *BO = dyn_cast<BinaryOperator>(V); | |
| if (BO && BO->hasOneUse() && | |
| (BO->getOpcode() == Opcode1 || BO->getOpcode() == Opcode2)) | |
| if (!isa<FPMathOperator>(BO) || hasFPAssociativeFlags(BO)) | |
| return BO; | |
| return nullptr; | |
| } | |
| void ReassociatePass::BuildRankMap(Function &F, | |
| ReversePostOrderTraversal<Function*> &RPOT) { | |
| unsigned Rank = 2; | |
| // Assign distinct ranks to function arguments. | |
| for (auto &Arg : F.args()) { | |
| ValueRankMap[&Arg] = ++Rank; | |
| LLVM_DEBUG(dbgs() << "Calculated Rank[" << Arg.getName() << "] = " << Rank | |
| << "\n"); | |
| } | |
| // Traverse basic blocks in ReversePostOrder. | |
| for (BasicBlock *BB : RPOT) { | |
| unsigned BBRank = RankMap[BB] = ++Rank << 16; | |
| // Walk the basic block, adding precomputed ranks for any instructions that | |
| // we cannot move. This ensures that the ranks for these instructions are | |
| // all different in the block. | |
| for (Instruction &I : *BB) | |
| if (mayHaveNonDefUseDependency(I)) | |
| ValueRankMap[&I] = ++BBRank; | |
| } | |
| } | |
| unsigned ReassociatePass::getRank(Value *V) { | |
| Instruction *I = dyn_cast<Instruction>(V); | |
| if (!I) { | |
| if (isa<Argument>(V)) return ValueRankMap[V]; // Function argument. | |
| return 0; // Otherwise it's a global or constant, rank 0. | |
| } | |
| if (unsigned Rank = ValueRankMap[I]) | |
| return Rank; // Rank already known? | |
| // If this is an expression, return the 1+MAX(rank(LHS), rank(RHS)) so that | |
| // we can reassociate expressions for code motion! Since we do not recurse | |
| // for PHI nodes, we cannot have infinite recursion here, because there | |
| // cannot be loops in the value graph that do not go through PHI nodes. | |
| unsigned Rank = 0, MaxRank = RankMap[I->getParent()]; | |
| for (unsigned i = 0, e = I->getNumOperands(); i != e && Rank != MaxRank; ++i) | |
| Rank = std::max(Rank, getRank(I->getOperand(i))); | |
| // If this is a 'not' or 'neg' instruction, do not count it for rank. This | |
| // assures us that X and ~X will have the same rank. | |
| if (!match(I, m_Not(m_Value())) && !match(I, m_Neg(m_Value())) && | |
| !match(I, m_FNeg(m_Value()))) | |
| ++Rank; | |
| LLVM_DEBUG(dbgs() << "Calculated Rank[" << V->getName() << "] = " << Rank | |
| << "\n"); | |
| return ValueRankMap[I] = Rank; | |
| } | |
| // Canonicalize constants to RHS. Otherwise, sort the operands by rank. | |
| void ReassociatePass::canonicalizeOperands(Instruction *I) { | |
| assert(isa<BinaryOperator>(I) && "Expected binary operator."); | |
| assert(I->isCommutative() && "Expected commutative operator."); | |
| Value *LHS = I->getOperand(0); | |
| Value *RHS = I->getOperand(1); | |
| if (LHS == RHS || isa<Constant>(RHS)) | |
| return; | |
| if (isa<Constant>(LHS) || getRank(RHS) < getRank(LHS)) | |
| cast<BinaryOperator>(I)->swapOperands(); | |
| } | |
| static BinaryOperator *CreateAdd(Value *S1, Value *S2, const Twine &Name, | |
| Instruction *InsertBefore, Value *FlagsOp) { | |
| if (S1->getType()->isIntOrIntVectorTy()) | |
| return BinaryOperator::CreateAdd(S1, S2, Name, InsertBefore); | |
| else { | |
| BinaryOperator *Res = | |
| BinaryOperator::CreateFAdd(S1, S2, Name, InsertBefore); | |
| Res->setFastMathFlags(cast<FPMathOperator>(FlagsOp)->getFastMathFlags()); | |
| return Res; | |
| } | |
| } | |
| static BinaryOperator *CreateMul(Value *S1, Value *S2, const Twine &Name, | |
| Instruction *InsertBefore, Value *FlagsOp) { | |
| if (S1->getType()->isIntOrIntVectorTy()) | |
| return BinaryOperator::CreateMul(S1, S2, Name, InsertBefore); | |
| else { | |
| BinaryOperator *Res = | |
| BinaryOperator::CreateFMul(S1, S2, Name, InsertBefore); | |
| Res->setFastMathFlags(cast<FPMathOperator>(FlagsOp)->getFastMathFlags()); | |
| return Res; | |
| } | |
| } | |
| static Instruction *CreateNeg(Value *S1, const Twine &Name, | |
| Instruction *InsertBefore, Value *FlagsOp) { | |
| if (S1->getType()->isIntOrIntVectorTy()) | |
| return BinaryOperator::CreateNeg(S1, Name, InsertBefore); | |
| if (auto *FMFSource = dyn_cast<Instruction>(FlagsOp)) | |
| return UnaryOperator::CreateFNegFMF(S1, FMFSource, Name, InsertBefore); | |
| return UnaryOperator::CreateFNeg(S1, Name, InsertBefore); | |
| } | |
| /// Replace 0-X with X*-1. | |
| static BinaryOperator *LowerNegateToMultiply(Instruction *Neg) { | |
| assert((isa<UnaryOperator>(Neg) || isa<BinaryOperator>(Neg)) && | |
| "Expected a Negate!"); | |
| // FIXME: It's not safe to lower a unary FNeg into a FMul by -1.0. | |
| unsigned OpNo = isa<BinaryOperator>(Neg) ? 1 : 0; | |
| Type *Ty = Neg->getType(); | |
| Constant *NegOne = Ty->isIntOrIntVectorTy() ? | |
| ConstantInt::getAllOnesValue(Ty) : ConstantFP::get(Ty, -1.0); | |
| BinaryOperator *Res = CreateMul(Neg->getOperand(OpNo), NegOne, "", Neg, Neg); | |
| Neg->setOperand(OpNo, Constant::getNullValue(Ty)); // Drop use of op. | |
| Res->takeName(Neg); | |
| Neg->replaceAllUsesWith(Res); | |
| Res->setDebugLoc(Neg->getDebugLoc()); | |
| return Res; | |
| } | |
| /// Returns k such that lambda(2^Bitwidth) = 2^k, where lambda is the Carmichael | |
| /// function. This means that x^(2^k) === 1 mod 2^Bitwidth for | |
| /// every odd x, i.e. x^(2^k) = 1 for every odd x in Bitwidth-bit arithmetic. | |
| /// Note that 0 <= k < Bitwidth, and if Bitwidth > 3 then x^(2^k) = 0 for every | |
| /// even x in Bitwidth-bit arithmetic. | |
| static unsigned CarmichaelShift(unsigned Bitwidth) { | |
| if (Bitwidth < 3) | |
| return Bitwidth - 1; | |
| return Bitwidth - 2; | |
| } | |
| /// Add the extra weight 'RHS' to the existing weight 'LHS', | |
| /// reducing the combined weight using any special properties of the operation. | |
| /// The existing weight LHS represents the computation X op X op ... op X where | |
| /// X occurs LHS times. The combined weight represents X op X op ... op X with | |
| /// X occurring LHS + RHS times. If op is "Xor" for example then the combined | |
| /// operation is equivalent to X if LHS + RHS is odd, or 0 if LHS + RHS is even; | |
| /// the routine returns 1 in LHS in the first case, and 0 in LHS in the second. | |
| static void IncorporateWeight(APInt &LHS, const APInt &RHS, unsigned Opcode) { | |
| // If we were working with infinite precision arithmetic then the combined | |
| // weight would be LHS + RHS. But we are using finite precision arithmetic, | |
| // and the APInt sum LHS + RHS may not be correct if it wraps (it is correct | |
| // for nilpotent operations and addition, but not for idempotent operations | |
| // and multiplication), so it is important to correctly reduce the combined | |
| // weight back into range if wrapping would be wrong. | |
| // If RHS is zero then the weight didn't change. | |
| if (RHS.isMinValue()) | |
| return; | |
| // If LHS is zero then the combined weight is RHS. | |
| if (LHS.isMinValue()) { | |
| LHS = RHS; | |
| return; | |
| } | |
| // From this point on we know that neither LHS nor RHS is zero. | |
| if (Instruction::isIdempotent(Opcode)) { | |
| // Idempotent means X op X === X, so any non-zero weight is equivalent to a | |
| // weight of 1. Keeping weights at zero or one also means that wrapping is | |
| // not a problem. | |
| assert(LHS == 1 && RHS == 1 && "Weights not reduced!"); | |
| return; // Return a weight of 1. | |
| } | |
| if (Instruction::isNilpotent(Opcode)) { | |
| // Nilpotent means X op X === 0, so reduce weights modulo 2. | |
| assert(LHS == 1 && RHS == 1 && "Weights not reduced!"); | |
| LHS = 0; // 1 + 1 === 0 modulo 2. | |
| return; | |
| } | |
| if (Opcode == Instruction::Add || Opcode == Instruction::FAdd) { | |
| // TODO: Reduce the weight by exploiting nsw/nuw? | |
| LHS += RHS; | |
| return; | |
| } | |
| assert((Opcode == Instruction::Mul || Opcode == Instruction::FMul) && | |
| "Unknown associative operation!"); | |
| unsigned Bitwidth = LHS.getBitWidth(); | |
| // If CM is the Carmichael number then a weight W satisfying W >= CM+Bitwidth | |
| // can be replaced with W-CM. That's because x^W=x^(W-CM) for every Bitwidth | |
| // bit number x, since either x is odd in which case x^CM = 1, or x is even in | |
| // which case both x^W and x^(W - CM) are zero. By subtracting off multiples | |
| // of CM like this weights can always be reduced to the range [0, CM+Bitwidth) | |
| // which by a happy accident means that they can always be represented using | |
| // Bitwidth bits. | |
| // TODO: Reduce the weight by exploiting nsw/nuw? (Could do much better than | |
| // the Carmichael number). | |
| if (Bitwidth > 3) { | |
| /// CM - The value of Carmichael's lambda function. | |
| APInt CM = APInt::getOneBitSet(Bitwidth, CarmichaelShift(Bitwidth)); | |
| // Any weight W >= Threshold can be replaced with W - CM. | |
| APInt Threshold = CM + Bitwidth; | |
| assert(LHS.ult(Threshold) && RHS.ult(Threshold) && "Weights not reduced!"); | |
| // For Bitwidth 4 or more the following sum does not overflow. | |
| LHS += RHS; | |
| while (LHS.uge(Threshold)) | |
| LHS -= CM; | |
| } else { | |
| // To avoid problems with overflow do everything the same as above but using | |
| // a larger type. | |
| unsigned CM = 1U << CarmichaelShift(Bitwidth); | |
| unsigned Threshold = CM + Bitwidth; | |
| assert(LHS.getZExtValue() < Threshold && RHS.getZExtValue() < Threshold && | |
| "Weights not reduced!"); | |
| unsigned Total = LHS.getZExtValue() + RHS.getZExtValue(); | |
| while (Total >= Threshold) | |
| Total -= CM; | |
| LHS = Total; | |
| } | |
| } | |
| using RepeatedValue = std::pair<Value*, APInt>; | |
| /// Given an associative binary expression, return the leaf | |
| /// nodes in Ops along with their weights (how many times the leaf occurs). The | |
| /// original expression is the same as | |
| /// (Ops[0].first op Ops[0].first op ... Ops[0].first) <- Ops[0].second times | |
| /// op | |
| /// (Ops[1].first op Ops[1].first op ... Ops[1].first) <- Ops[1].second times | |
| /// op | |
| /// ... | |
| /// op | |
| /// (Ops[N].first op Ops[N].first op ... Ops[N].first) <- Ops[N].second times | |
| /// | |
| /// Note that the values Ops[0].first, ..., Ops[N].first are all distinct. | |
| /// | |
| /// This routine may modify the function, in which case it returns 'true'. The | |
| /// changes it makes may well be destructive, changing the value computed by 'I' | |
| /// to something completely different. Thus if the routine returns 'true' then | |
| /// you MUST either replace I with a new expression computed from the Ops array, | |
| /// or use RewriteExprTree to put the values back in. | |
| /// | |
| /// A leaf node is either not a binary operation of the same kind as the root | |
| /// node 'I' (i.e. is not a binary operator at all, or is, but with a different | |
| /// opcode), or is the same kind of binary operator but has a use which either | |
| /// does not belong to the expression, or does belong to the expression but is | |
| /// a leaf node. Every leaf node has at least one use that is a non-leaf node | |
| /// of the expression, while for non-leaf nodes (except for the root 'I') every | |
| /// use is a non-leaf node of the expression. | |
| /// | |
| /// For example: | |
| /// expression graph node names | |
| /// | |
| /// + | I | |
| /// / \ | | |
| /// + + | A, B | |
| /// / \ / \ | | |
| /// * + * | C, D, E | |
| /// / \ / \ / \ | | |
| /// + * | F, G | |
| /// | |
| /// The leaf nodes are C, E, F and G. The Ops array will contain (maybe not in | |
| /// that order) (C, 1), (E, 1), (F, 2), (G, 2). | |
| /// | |
| /// The expression is maximal: if some instruction is a binary operator of the | |
| /// same kind as 'I', and all of its uses are non-leaf nodes of the expression, | |
| /// then the instruction also belongs to the expression, is not a leaf node of | |
| /// it, and its operands also belong to the expression (but may be leaf nodes). | |
| /// | |
| /// NOTE: This routine will set operands of non-leaf non-root nodes to undef in | |
| /// order to ensure that every non-root node in the expression has *exactly one* | |
| /// use by a non-leaf node of the expression. This destruction means that the | |
| /// caller MUST either replace 'I' with a new expression or use something like | |
| /// RewriteExprTree to put the values back in if the routine indicates that it | |
| /// made a change by returning 'true'. | |
| /// | |
| /// In the above example either the right operand of A or the left operand of B | |
| /// will be replaced by undef. If it is B's operand then this gives: | |
| /// | |
| /// + | I | |
| /// / \ | | |
| /// + + | A, B - operand of B replaced with undef | |
| /// / \ \ | | |
| /// * + * | C, D, E | |
| /// / \ / \ / \ | | |
| /// + * | F, G | |
| /// | |
| /// Note that such undef operands can only be reached by passing through 'I'. | |
| /// For example, if you visit operands recursively starting from a leaf node | |
| /// then you will never see such an undef operand unless you get back to 'I', | |
| /// which requires passing through a phi node. | |
| /// | |
| /// Note that this routine may also mutate binary operators of the wrong type | |
| /// that have all uses inside the expression (i.e. only used by non-leaf nodes | |
| /// of the expression) if it can turn them into binary operators of the right | |
| /// type and thus make the expression bigger. | |
| static bool LinearizeExprTree(Instruction *I, | |
| SmallVectorImpl<RepeatedValue> &Ops, | |
| ReassociatePass::OrderedSet &ToRedo) { | |
| assert((isa<UnaryOperator>(I) || isa<BinaryOperator>(I)) && | |
| "Expected a UnaryOperator or BinaryOperator!"); | |
| LLVM_DEBUG(dbgs() << "LINEARIZE: " << *I << '\n'); | |
| unsigned Bitwidth = I->getType()->getScalarType()->getPrimitiveSizeInBits(); | |
| unsigned Opcode = I->getOpcode(); | |
| assert(I->isAssociative() && I->isCommutative() && | |
| "Expected an associative and commutative operation!"); | |
| // Visit all operands of the expression, keeping track of their weight (the | |
| // number of paths from the expression root to the operand, or if you like | |
| // the number of times that operand occurs in the linearized expression). | |
| // For example, if I = X + A, where X = A + B, then I, X and B have weight 1 | |
| // while A has weight two. | |
| // Worklist of non-leaf nodes (their operands are in the expression too) along | |
| // with their weights, representing a certain number of paths to the operator. | |
| // If an operator occurs in the worklist multiple times then we found multiple | |
| // ways to get to it. | |
| SmallVector<std::pair<Instruction*, APInt>, 8> Worklist; // (Op, Weight) | |
| Worklist.push_back(std::make_pair(I, APInt(Bitwidth, 1))); | |
| bool Changed = false; | |
| // Leaves of the expression are values that either aren't the right kind of | |
| // operation (eg: a constant, or a multiply in an add tree), or are, but have | |
| // some uses that are not inside the expression. For example, in I = X + X, | |
| // X = A + B, the value X has two uses (by I) that are in the expression. If | |
| // X has any other uses, for example in a return instruction, then we consider | |
| // X to be a leaf, and won't analyze it further. When we first visit a value, | |
| // if it has more than one use then at first we conservatively consider it to | |
| // be a leaf. Later, as the expression is explored, we may discover some more | |
| // uses of the value from inside the expression. If all uses turn out to be | |
| // from within the expression (and the value is a binary operator of the right | |
| // kind) then the value is no longer considered to be a leaf, and its operands | |
| // are explored. | |
| // Leaves - Keeps track of the set of putative leaves as well as the number of | |
| // paths to each leaf seen so far. | |
| using LeafMap = DenseMap<Value *, APInt>; | |
| LeafMap Leaves; // Leaf -> Total weight so far. | |
| SmallVector<Value *, 8> LeafOrder; // Ensure deterministic leaf output order. | |
| #ifndef NDEBUG | |
| SmallPtrSet<Value *, 8> Visited; // For checking the iteration scheme. | |
| #endif | |
| while (!Worklist.empty()) { | |
| std::pair<Instruction*, APInt> P = Worklist.pop_back_val(); | |
| I = P.first; // We examine the operands of this binary operator. | |
| for (unsigned OpIdx = 0; OpIdx < I->getNumOperands(); ++OpIdx) { // Visit operands. | |
| Value *Op = I->getOperand(OpIdx); | |
| APInt Weight = P.second; // Number of paths to this operand. | |
| LLVM_DEBUG(dbgs() << "OPERAND: " << *Op << " (" << Weight << ")\n"); | |
| assert(!Op->use_empty() && "No uses, so how did we get to it?!"); | |
| // If this is a binary operation of the right kind with only one use then | |
| // add its operands to the expression. | |
| if (BinaryOperator *BO = isReassociableOp(Op, Opcode)) { | |
| assert(Visited.insert(Op).second && "Not first visit!"); | |
| LLVM_DEBUG(dbgs() << "DIRECT ADD: " << *Op << " (" << Weight << ")\n"); | |
| Worklist.push_back(std::make_pair(BO, Weight)); | |
| continue; | |
| } | |
| // Appears to be a leaf. Is the operand already in the set of leaves? | |
| LeafMap::iterator It = Leaves.find(Op); | |
| if (It == Leaves.end()) { | |
| // Not in the leaf map. Must be the first time we saw this operand. | |
| assert(Visited.insert(Op).second && "Not first visit!"); | |
| if (!Op->hasOneUse()) { | |
| // This value has uses not accounted for by the expression, so it is | |
| // not safe to modify. Mark it as being a leaf. | |
| LLVM_DEBUG(dbgs() | |
| << "ADD USES LEAF: " << *Op << " (" << Weight << ")\n"); | |
| LeafOrder.push_back(Op); | |
| Leaves[Op] = Weight; | |
| continue; | |
| } | |
| // No uses outside the expression, try morphing it. | |
| } else { | |
| // Already in the leaf map. | |
| assert(It != Leaves.end() && Visited.count(Op) && | |
| "In leaf map but not visited!"); | |
| // Update the number of paths to the leaf. | |
| IncorporateWeight(It->second, Weight, Opcode); | |
| #if 0 // TODO: Re-enable once PR13021 is fixed. | |
| // The leaf already has one use from inside the expression. As we want | |
| // exactly one such use, drop this new use of the leaf. | |
| assert(!Op->hasOneUse() && "Only one use, but we got here twice!"); | |
| I->setOperand(OpIdx, UndefValue::get(I->getType())); | |
| Changed = true; | |
| // If the leaf is a binary operation of the right kind and we now see | |
| // that its multiple original uses were in fact all by nodes belonging | |
| // to the expression, then no longer consider it to be a leaf and add | |
| // its operands to the expression. | |
| if (BinaryOperator *BO = isReassociableOp(Op, Opcode)) { | |
| LLVM_DEBUG(dbgs() << "UNLEAF: " << *Op << " (" << It->second << ")\n"); | |
| Worklist.push_back(std::make_pair(BO, It->second)); | |
| Leaves.erase(It); | |
| continue; | |
| } | |
| #endif | |
| // If we still have uses that are not accounted for by the expression | |
| // then it is not safe to modify the value. | |
| if (!Op->hasOneUse()) | |
| continue; | |
| // No uses outside the expression, try morphing it. | |
| Weight = It->second; | |
| Leaves.erase(It); // Since the value may be morphed below. | |
| } | |
| // At this point we have a value which, first of all, is not a binary | |
| // expression of the right kind, and secondly, is only used inside the | |
| // expression. This means that it can safely be modified. See if we | |
| // can usefully morph it into an expression of the right kind. | |
| assert((!isa<Instruction>(Op) || | |
| cast<Instruction>(Op)->getOpcode() != Opcode | |
| || (isa<FPMathOperator>(Op) && | |
| !hasFPAssociativeFlags(cast<Instruction>(Op)))) && | |
| "Should have been handled above!"); | |
| assert(Op->hasOneUse() && "Has uses outside the expression tree!"); | |
| // If this is a multiply expression, turn any internal negations into | |
| // multiplies by -1 so they can be reassociated. Add any users of the | |
| // newly created multiplication by -1 to the redo list, so any | |
| // reassociation opportunities that are exposed will be reassociated | |
| // further. | |
| Instruction *Neg; | |
| if (((Opcode == Instruction::Mul && match(Op, m_Neg(m_Value()))) || | |
| (Opcode == Instruction::FMul && match(Op, m_FNeg(m_Value())))) && | |
| match(Op, m_Instruction(Neg))) { | |
| LLVM_DEBUG(dbgs() | |
| << "MORPH LEAF: " << *Op << " (" << Weight << ") TO "); | |
| Instruction *Mul = LowerNegateToMultiply(Neg); | |
| LLVM_DEBUG(dbgs() << *Mul << '\n'); | |
| Worklist.push_back(std::make_pair(Mul, Weight)); | |
| for (User *U : Mul->users()) { | |
| if (BinaryOperator *UserBO = dyn_cast<BinaryOperator>(U)) | |
| ToRedo.insert(UserBO); | |
| } | |
| ToRedo.insert(Neg); | |
| Changed = true; | |
| continue; | |
| } | |
| // Failed to morph into an expression of the right type. This really is | |
| // a leaf. | |
| LLVM_DEBUG(dbgs() << "ADD LEAF: " << *Op << " (" << Weight << ")\n"); | |
| assert(!isReassociableOp(Op, Opcode) && "Value was morphed?"); | |
| LeafOrder.push_back(Op); | |
| Leaves[Op] = Weight; | |
| } | |
| } | |
| // The leaves, repeated according to their weights, represent the linearized | |
| // form of the expression. | |
| for (unsigned i = 0, e = LeafOrder.size(); i != e; ++i) { | |
| Value *V = LeafOrder[i]; | |
| LeafMap::iterator It = Leaves.find(V); | |
| if (It == Leaves.end()) | |
| // Node initially thought to be a leaf wasn't. | |
| continue; | |
| assert(!isReassociableOp(V, Opcode) && "Shouldn't be a leaf!"); | |
| APInt Weight = It->second; | |
| if (Weight.isMinValue()) | |
| // Leaf already output or weight reduction eliminated it. | |
| continue; | |
| // Ensure the leaf is only output once. | |
| It->second = 0; | |
| Ops.push_back(std::make_pair(V, Weight)); | |
| } | |
| // For nilpotent operations or addition there may be no operands, for example | |
| // because the expression was "X xor X" or consisted of 2^Bitwidth additions: | |
| // in both cases the weight reduces to 0 causing the value to be skipped. | |
| if (Ops.empty()) { | |
| Constant *Identity = ConstantExpr::getBinOpIdentity(Opcode, I->getType()); | |
| assert(Identity && "Associative operation without identity!"); | |
| Ops.emplace_back(Identity, APInt(Bitwidth, 1)); | |
| } | |
| return Changed; | |
| } | |
| /// Now that the operands for this expression tree are | |
| /// linearized and optimized, emit them in-order. | |
| void ReassociatePass::RewriteExprTree(BinaryOperator *I, | |
| SmallVectorImpl<ValueEntry> &Ops) { | |
| assert(Ops.size() > 1 && "Single values should be used directly!"); | |
| // Since our optimizations should never increase the number of operations, the | |
| // new expression can usually be written reusing the existing binary operators | |
| // from the original expression tree, without creating any new instructions, | |
| // though the rewritten expression may have a completely different topology. | |
| // We take care to not change anything if the new expression will be the same | |
| // as the original. If more than trivial changes (like commuting operands) | |
| // were made then we are obliged to clear out any optional subclass data like | |
| // nsw flags. | |
| /// NodesToRewrite - Nodes from the original expression available for writing | |
| /// the new expression into. | |
| SmallVector<BinaryOperator*, 8> NodesToRewrite; | |
| unsigned Opcode = I->getOpcode(); | |
| BinaryOperator *Op = I; | |
| /// NotRewritable - The operands being written will be the leaves of the new | |
| /// expression and must not be used as inner nodes (via NodesToRewrite) by | |
| /// mistake. Inner nodes are always reassociable, and usually leaves are not | |
| /// (if they were they would have been incorporated into the expression and so | |
| /// would not be leaves), so most of the time there is no danger of this. But | |
| /// in rare cases a leaf may become reassociable if an optimization kills uses | |
| /// of it, or it may momentarily become reassociable during rewriting (below) | |
| /// due it being removed as an operand of one of its uses. Ensure that misuse | |
| /// of leaf nodes as inner nodes cannot occur by remembering all of the future | |
| /// leaves and refusing to reuse any of them as inner nodes. | |
| SmallPtrSet<Value*, 8> NotRewritable; | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) | |
| NotRewritable.insert(Ops[i].Op); | |
| // ExpressionChanged - Non-null if the rewritten expression differs from the | |
| // original in some non-trivial way, requiring the clearing of optional flags. | |
| // Flags are cleared from the operator in ExpressionChanged up to I inclusive. | |
| BinaryOperator *ExpressionChanged = nullptr; | |
| for (unsigned i = 0; ; ++i) { | |
| // The last operation (which comes earliest in the IR) is special as both | |
| // operands will come from Ops, rather than just one with the other being | |
| // a subexpression. | |
| if (i+2 == Ops.size()) { | |
| Value *NewLHS = Ops[i].Op; | |
| Value *NewRHS = Ops[i+1].Op; | |
| Value *OldLHS = Op->getOperand(0); | |
| Value *OldRHS = Op->getOperand(1); | |
| if (NewLHS == OldLHS && NewRHS == OldRHS) | |
| // Nothing changed, leave it alone. | |
| break; | |
| if (NewLHS == OldRHS && NewRHS == OldLHS) { | |
| // The order of the operands was reversed. Swap them. | |
| LLVM_DEBUG(dbgs() << "RA: " << *Op << '\n'); | |
| Op->swapOperands(); | |
| LLVM_DEBUG(dbgs() << "TO: " << *Op << '\n'); | |
| MadeChange = true; | |
| ++NumChanged; | |
| break; | |
| } | |
| // The new operation differs non-trivially from the original. Overwrite | |
| // the old operands with the new ones. | |
| LLVM_DEBUG(dbgs() << "RA: " << *Op << '\n'); | |
| if (NewLHS != OldLHS) { | |
| BinaryOperator *BO = isReassociableOp(OldLHS, Opcode); | |
| if (BO && !NotRewritable.count(BO)) | |
| NodesToRewrite.push_back(BO); | |
| Op->setOperand(0, NewLHS); | |
| } | |
| if (NewRHS != OldRHS) { | |
| BinaryOperator *BO = isReassociableOp(OldRHS, Opcode); | |
| if (BO && !NotRewritable.count(BO)) | |
| NodesToRewrite.push_back(BO); | |
| Op->setOperand(1, NewRHS); | |
| } | |
| LLVM_DEBUG(dbgs() << "TO: " << *Op << '\n'); | |
| ExpressionChanged = Op; | |
| MadeChange = true; | |
| ++NumChanged; | |
| break; | |
| } | |
| // Not the last operation. The left-hand side will be a sub-expression | |
| // while the right-hand side will be the current element of Ops. | |
| Value *NewRHS = Ops[i].Op; | |
| if (NewRHS != Op->getOperand(1)) { | |
| LLVM_DEBUG(dbgs() << "RA: " << *Op << '\n'); | |
| if (NewRHS == Op->getOperand(0)) { | |
| // The new right-hand side was already present as the left operand. If | |
| // we are lucky then swapping the operands will sort out both of them. | |
| Op->swapOperands(); | |
| } else { | |
| // Overwrite with the new right-hand side. | |
| BinaryOperator *BO = isReassociableOp(Op->getOperand(1), Opcode); | |
| if (BO && !NotRewritable.count(BO)) | |
| NodesToRewrite.push_back(BO); | |
| Op->setOperand(1, NewRHS); | |
| ExpressionChanged = Op; | |
| } | |
| LLVM_DEBUG(dbgs() << "TO: " << *Op << '\n'); | |
| MadeChange = true; | |
| ++NumChanged; | |
| } | |
| // Now deal with the left-hand side. If this is already an operation node | |
| // from the original expression then just rewrite the rest of the expression | |
| // into it. | |
| BinaryOperator *BO = isReassociableOp(Op->getOperand(0), Opcode); | |
| if (BO && !NotRewritable.count(BO)) { | |
| Op = BO; | |
| continue; | |
| } | |
| // Otherwise, grab a spare node from the original expression and use that as | |
| // the left-hand side. If there are no nodes left then the optimizers made | |
| // an expression with more nodes than the original! This usually means that | |
| // they did something stupid but it might mean that the problem was just too | |
| // hard (finding the mimimal number of multiplications needed to realize a | |
| // multiplication expression is NP-complete). Whatever the reason, smart or | |
| // stupid, create a new node if there are none left. | |
| BinaryOperator *NewOp; | |
| if (NodesToRewrite.empty()) { | |
| Constant *Undef = UndefValue::get(I->getType()); | |
| NewOp = BinaryOperator::Create(Instruction::BinaryOps(Opcode), | |
| Undef, Undef, "", I); | |
| if (isa<FPMathOperator>(NewOp)) | |
| NewOp->setFastMathFlags(I->getFastMathFlags()); | |
| } else { | |
| NewOp = NodesToRewrite.pop_back_val(); | |
| } | |
| LLVM_DEBUG(dbgs() << "RA: " << *Op << '\n'); | |
| Op->setOperand(0, NewOp); | |
| LLVM_DEBUG(dbgs() << "TO: " << *Op << '\n'); | |
| ExpressionChanged = Op; | |
| MadeChange = true; | |
| ++NumChanged; | |
| Op = NewOp; | |
| } | |
| // If the expression changed non-trivially then clear out all subclass data | |
| // starting from the operator specified in ExpressionChanged, and compactify | |
| // the operators to just before the expression root to guarantee that the | |
| // expression tree is dominated by all of Ops. | |
| if (ExpressionChanged) | |
| do { | |
| // Preserve FastMathFlags. | |
| if (isa<FPMathOperator>(I)) { | |
| FastMathFlags Flags = I->getFastMathFlags(); | |
| ExpressionChanged->clearSubclassOptionalData(); | |
| ExpressionChanged->setFastMathFlags(Flags); | |
| } else | |
| ExpressionChanged->clearSubclassOptionalData(); | |
| if (ExpressionChanged == I) | |
| break; | |
| // Discard any debug info related to the expressions that has changed (we | |
| // can leave debug infor related to the root, since the result of the | |
| // expression tree should be the same even after reassociation). | |
| replaceDbgUsesWithUndef(ExpressionChanged); | |
| ExpressionChanged->moveBefore(I); | |
| ExpressionChanged = cast<BinaryOperator>(*ExpressionChanged->user_begin()); | |
| } while (true); | |
| // Throw away any left over nodes from the original expression. | |
| for (unsigned i = 0, e = NodesToRewrite.size(); i != e; ++i) | |
| RedoInsts.insert(NodesToRewrite[i]); | |
| } | |
| /// Insert instructions before the instruction pointed to by BI, | |
| /// that computes the negative version of the value specified. The negative | |
| /// version of the value is returned, and BI is left pointing at the instruction | |
| /// that should be processed next by the reassociation pass. | |
| /// Also add intermediate instructions to the redo list that are modified while | |
| /// pushing the negates through adds. These will be revisited to see if | |
| /// additional opportunities have been exposed. | |
| static Value *NegateValue(Value *V, Instruction *BI, | |
| ReassociatePass::OrderedSet &ToRedo) { | |
| if (auto *C = dyn_cast<Constant>(V)) { | |
| const DataLayout &DL = BI->getModule()->getDataLayout(); | |
| Constant *Res = C->getType()->isFPOrFPVectorTy() | |
| ? ConstantFoldUnaryOpOperand(Instruction::FNeg, C, DL) | |
| : ConstantExpr::getNeg(C); | |
| if (Res) | |
| return Res; | |
| } | |
| // We are trying to expose opportunity for reassociation. One of the things | |
| // that we want to do to achieve this is to push a negation as deep into an | |
| // expression chain as possible, to expose the add instructions. In practice, | |
| // this means that we turn this: | |
| // X = -(A+12+C+D) into X = -A + -12 + -C + -D = -12 + -A + -C + -D | |
| // so that later, a: Y = 12+X could get reassociated with the -12 to eliminate | |
| // the constants. We assume that instcombine will clean up the mess later if | |
| // we introduce tons of unnecessary negation instructions. | |
| // | |
| if (BinaryOperator *I = | |
| isReassociableOp(V, Instruction::Add, Instruction::FAdd)) { | |
| // Push the negates through the add. | |
| I->setOperand(0, NegateValue(I->getOperand(0), BI, ToRedo)); | |
| I->setOperand(1, NegateValue(I->getOperand(1), BI, ToRedo)); | |
| if (I->getOpcode() == Instruction::Add) { | |
| I->setHasNoUnsignedWrap(false); | |
| I->setHasNoSignedWrap(false); | |
| } | |
| // We must move the add instruction here, because the neg instructions do | |
| // not dominate the old add instruction in general. By moving it, we are | |
| // assured that the neg instructions we just inserted dominate the | |
| // instruction we are about to insert after them. | |
| // | |
| I->moveBefore(BI); | |
| I->setName(I->getName()+".neg"); | |
| // Add the intermediate negates to the redo list as processing them later | |
| // could expose more reassociating opportunities. | |
| ToRedo.insert(I); | |
| return I; | |
| } | |
| // Okay, we need to materialize a negated version of V with an instruction. | |
| // Scan the use lists of V to see if we have one already. | |
| for (User *U : V->users()) { | |
| if (!match(U, m_Neg(m_Value())) && !match(U, m_FNeg(m_Value()))) | |
| continue; | |
| // We found one! Now we have to make sure that the definition dominates | |
| // this use. We do this by moving it to the entry block (if it is a | |
| // non-instruction value) or right after the definition. These negates will | |
| // be zapped by reassociate later, so we don't need much finesse here. | |
| Instruction *TheNeg = dyn_cast<Instruction>(U); | |
| // We can't safely propagate a vector zero constant with poison/undef lanes. | |
| Constant *C; | |
| if (match(TheNeg, m_BinOp(m_Constant(C), m_Value())) && | |
| C->containsUndefOrPoisonElement()) | |
| continue; | |
| // Verify that the negate is in this function, V might be a constant expr. | |
| if (!TheNeg || | |
| TheNeg->getParent()->getParent() != BI->getParent()->getParent()) | |
| continue; | |
| Instruction *InsertPt; | |
| if (Instruction *InstInput = dyn_cast<Instruction>(V)) { | |
| InsertPt = InstInput->getInsertionPointAfterDef(); | |
| if (!InsertPt) | |
| continue; | |
| } else { | |
| InsertPt = &*TheNeg->getFunction()->getEntryBlock().begin(); | |
| } | |
| TheNeg->moveBefore(InsertPt); | |
| if (TheNeg->getOpcode() == Instruction::Sub) { | |
| TheNeg->setHasNoUnsignedWrap(false); | |
| TheNeg->setHasNoSignedWrap(false); | |
| } else { | |
| TheNeg->andIRFlags(BI); | |
| } | |
| ToRedo.insert(TheNeg); | |
| return TheNeg; | |
| } | |
| // Insert a 'neg' instruction that subtracts the value from zero to get the | |
| // negation. | |
| Instruction *NewNeg = CreateNeg(V, V->getName() + ".neg", BI, BI); | |
| ToRedo.insert(NewNeg); | |
| return NewNeg; | |
| } | |
| // See if this `or` looks like an load widening reduction, i.e. that it | |
| // consists of an `or`/`shl`/`zext`/`load` nodes only. Note that we don't | |
| // ensure that the pattern is *really* a load widening reduction, | |
| // we do not ensure that it can really be replaced with a widened load, | |
| // only that it mostly looks like one. | |
| static bool isLoadCombineCandidate(Instruction *Or) { | |
| SmallVector<Instruction *, 8> Worklist; | |
| SmallSet<Instruction *, 8> Visited; | |
| auto Enqueue = [&](Value *V) { | |
| auto *I = dyn_cast<Instruction>(V); | |
| // Each node of an `or` reduction must be an instruction, | |
| if (!I) | |
| return false; // Node is certainly not part of an `or` load reduction. | |
| // Only process instructions we have never processed before. | |
| if (Visited.insert(I).second) | |
| Worklist.emplace_back(I); | |
| return true; // Will need to look at parent nodes. | |
| }; | |
| if (!Enqueue(Or)) | |
| return false; // Not an `or` reduction pattern. | |
| while (!Worklist.empty()) { | |
| auto *I = Worklist.pop_back_val(); | |
| // Okay, which instruction is this node? | |
| switch (I->getOpcode()) { | |
| case Instruction::Or: | |
| // Got an `or` node. That's fine, just recurse into it's operands. | |
| for (Value *Op : I->operands()) | |
| if (!Enqueue(Op)) | |
| return false; // Not an `or` reduction pattern. | |
| continue; | |
| case Instruction::Shl: | |
| case Instruction::ZExt: | |
| // `shl`/`zext` nodes are fine, just recurse into their base operand. | |
| if (!Enqueue(I->getOperand(0))) | |
| return false; // Not an `or` reduction pattern. | |
| continue; | |
| case Instruction::Load: | |
| // Perfect, `load` node means we've reached an edge of the graph. | |
| continue; | |
| default: // Unknown node. | |
| return false; // Not an `or` reduction pattern. | |
| } | |
| } | |
| return true; | |
| } | |
| /// Return true if it may be profitable to convert this (X|Y) into (X+Y). | |
| static bool shouldConvertOrWithNoCommonBitsToAdd(Instruction *Or) { | |
| // Don't bother to convert this up unless either the LHS is an associable add | |
| // or subtract or mul or if this is only used by one of the above. | |
| // This is only a compile-time improvement, it is not needed for correctness! | |
| auto isInteresting = [](Value *V) { | |
| for (auto Op : {Instruction::Add, Instruction::Sub, Instruction::Mul, | |
| Instruction::Shl}) | |
| if (isReassociableOp(V, Op)) | |
| return true; | |
| return false; | |
| }; | |
| if (any_of(Or->operands(), isInteresting)) | |
| return true; | |
| Value *VB = Or->user_back(); | |
| if (Or->hasOneUse() && isInteresting(VB)) | |
| return true; | |
| return false; | |
| } | |
| /// If we have (X|Y), and iff X and Y have no common bits set, | |
| /// transform this into (X+Y) to allow arithmetics reassociation. | |
| static BinaryOperator *convertOrWithNoCommonBitsToAdd(Instruction *Or) { | |
| // Convert an or into an add. | |
| BinaryOperator *New = | |
| CreateAdd(Or->getOperand(0), Or->getOperand(1), "", Or, Or); | |
| New->setHasNoSignedWrap(); | |
| New->setHasNoUnsignedWrap(); | |
| New->takeName(Or); | |
| // Everyone now refers to the add instruction. | |
| Or->replaceAllUsesWith(New); | |
| New->setDebugLoc(Or->getDebugLoc()); | |
| LLVM_DEBUG(dbgs() << "Converted or into an add: " << *New << '\n'); | |
| return New; | |
| } | |
| /// Return true if we should break up this subtract of X-Y into (X + -Y). | |
| static bool ShouldBreakUpSubtract(Instruction *Sub) { | |
| // If this is a negation, we can't split it up! | |
| if (match(Sub, m_Neg(m_Value())) || match(Sub, m_FNeg(m_Value()))) | |
| return false; | |
| // Don't breakup X - undef. | |
| if (isa<UndefValue>(Sub->getOperand(1))) | |
| return false; | |
| // Don't bother to break this up unless either the LHS is an associable add or | |
| // subtract or if this is only used by one. | |
| Value *V0 = Sub->getOperand(0); | |
| if (isReassociableOp(V0, Instruction::Add, Instruction::FAdd) || | |
| isReassociableOp(V0, Instruction::Sub, Instruction::FSub)) | |
| return true; | |
| Value *V1 = Sub->getOperand(1); | |
| if (isReassociableOp(V1, Instruction::Add, Instruction::FAdd) || | |
| isReassociableOp(V1, Instruction::Sub, Instruction::FSub)) | |
| return true; | |
| Value *VB = Sub->user_back(); | |
| if (Sub->hasOneUse() && | |
| (isReassociableOp(VB, Instruction::Add, Instruction::FAdd) || | |
| isReassociableOp(VB, Instruction::Sub, Instruction::FSub))) | |
| return true; | |
| return false; | |
| } | |
| /// If we have (X-Y), and if either X is an add, or if this is only used by an | |
| /// add, transform this into (X+(0-Y)) to promote better reassociation. | |
| static BinaryOperator *BreakUpSubtract(Instruction *Sub, | |
| ReassociatePass::OrderedSet &ToRedo) { | |
| // Convert a subtract into an add and a neg instruction. This allows sub | |
| // instructions to be commuted with other add instructions. | |
| // | |
| // Calculate the negative value of Operand 1 of the sub instruction, | |
| // and set it as the RHS of the add instruction we just made. | |
| Value *NegVal = NegateValue(Sub->getOperand(1), Sub, ToRedo); | |
| BinaryOperator *New = CreateAdd(Sub->getOperand(0), NegVal, "", Sub, Sub); | |
| Sub->setOperand(0, Constant::getNullValue(Sub->getType())); // Drop use of op. | |
| Sub->setOperand(1, Constant::getNullValue(Sub->getType())); // Drop use of op. | |
| New->takeName(Sub); | |
| // Everyone now refers to the add instruction. | |
| Sub->replaceAllUsesWith(New); | |
| New->setDebugLoc(Sub->getDebugLoc()); | |
| LLVM_DEBUG(dbgs() << "Negated: " << *New << '\n'); | |
| return New; | |
| } | |
| /// If this is a shift of a reassociable multiply or is used by one, change | |
| /// this into a multiply by a constant to assist with further reassociation. | |
| static BinaryOperator *ConvertShiftToMul(Instruction *Shl) { | |
| Constant *MulCst = ConstantInt::get(Shl->getType(), 1); | |
| auto *SA = cast<ConstantInt>(Shl->getOperand(1)); | |
| MulCst = ConstantExpr::getShl(MulCst, SA); | |
| BinaryOperator *Mul = | |
| BinaryOperator::CreateMul(Shl->getOperand(0), MulCst, "", Shl); | |
| Shl->setOperand(0, PoisonValue::get(Shl->getType())); // Drop use of op. | |
| Mul->takeName(Shl); | |
| // Everyone now refers to the mul instruction. | |
| Shl->replaceAllUsesWith(Mul); | |
| Mul->setDebugLoc(Shl->getDebugLoc()); | |
| // We can safely preserve the nuw flag in all cases. It's also safe to turn a | |
| // nuw nsw shl into a nuw nsw mul. However, nsw in isolation requires special | |
| // handling. It can be preserved as long as we're not left shifting by | |
| // bitwidth - 1. | |
| bool NSW = cast<BinaryOperator>(Shl)->hasNoSignedWrap(); | |
| bool NUW = cast<BinaryOperator>(Shl)->hasNoUnsignedWrap(); | |
| unsigned BitWidth = Shl->getType()->getIntegerBitWidth(); | |
| if (NSW && (NUW || SA->getValue().ult(BitWidth - 1))) | |
| Mul->setHasNoSignedWrap(true); | |
| Mul->setHasNoUnsignedWrap(NUW); | |
| return Mul; | |
| } | |
| /// Scan backwards and forwards among values with the same rank as element i | |
| /// to see if X exists. If X does not exist, return i. This is useful when | |
| /// scanning for 'x' when we see '-x' because they both get the same rank. | |
| static unsigned FindInOperandList(const SmallVectorImpl<ValueEntry> &Ops, | |
| unsigned i, Value *X) { | |
| unsigned XRank = Ops[i].Rank; | |
| unsigned e = Ops.size(); | |
| for (unsigned j = i+1; j != e && Ops[j].Rank == XRank; ++j) { | |
| if (Ops[j].Op == X) | |
| return j; | |
| if (Instruction *I1 = dyn_cast<Instruction>(Ops[j].Op)) | |
| if (Instruction *I2 = dyn_cast<Instruction>(X)) | |
| if (I1->isIdenticalTo(I2)) | |
| return j; | |
| } | |
| // Scan backwards. | |
| for (unsigned j = i-1; j != ~0U && Ops[j].Rank == XRank; --j) { | |
| if (Ops[j].Op == X) | |
| return j; | |
| if (Instruction *I1 = dyn_cast<Instruction>(Ops[j].Op)) | |
| if (Instruction *I2 = dyn_cast<Instruction>(X)) | |
| if (I1->isIdenticalTo(I2)) | |
| return j; | |
| } | |
| return i; | |
| } | |
| /// Emit a tree of add instructions, summing Ops together | |
| /// and returning the result. Insert the tree before I. | |
| static Value *EmitAddTreeOfValues(Instruction *I, | |
| SmallVectorImpl<WeakTrackingVH> &Ops) { | |
| if (Ops.size() == 1) return Ops.back(); | |
| Value *V1 = Ops.pop_back_val(); | |
| Value *V2 = EmitAddTreeOfValues(I, Ops); | |
| return CreateAdd(V2, V1, "reass.add", I, I); | |
| } | |
| /// If V is an expression tree that is a multiplication sequence, | |
| /// and if this sequence contains a multiply by Factor, | |
| /// remove Factor from the tree and return the new tree. | |
| Value *ReassociatePass::RemoveFactorFromExpression(Value *V, Value *Factor) { | |
| BinaryOperator *BO = isReassociableOp(V, Instruction::Mul, Instruction::FMul); | |
| if (!BO) | |
| return nullptr; | |
| SmallVector<RepeatedValue, 8> Tree; | |
| MadeChange |= LinearizeExprTree(BO, Tree, RedoInsts); | |
| SmallVector<ValueEntry, 8> Factors; | |
| Factors.reserve(Tree.size()); | |
| for (unsigned i = 0, e = Tree.size(); i != e; ++i) { | |
| RepeatedValue E = Tree[i]; | |
| Factors.append(E.second.getZExtValue(), | |
| ValueEntry(getRank(E.first), E.first)); | |
| } | |
| bool FoundFactor = false; | |
| bool NeedsNegate = false; | |
| for (unsigned i = 0, e = Factors.size(); i != e; ++i) { | |
| if (Factors[i].Op == Factor) { | |
| FoundFactor = true; | |
| Factors.erase(Factors.begin()+i); | |
| break; | |
| } | |
| // If this is a negative version of this factor, remove it. | |
| if (ConstantInt *FC1 = dyn_cast<ConstantInt>(Factor)) { | |
| if (ConstantInt *FC2 = dyn_cast<ConstantInt>(Factors[i].Op)) | |
| if (FC1->getValue() == -FC2->getValue()) { | |
| FoundFactor = NeedsNegate = true; | |
| Factors.erase(Factors.begin()+i); | |
| break; | |
| } | |
| } else if (ConstantFP *FC1 = dyn_cast<ConstantFP>(Factor)) { | |
| if (ConstantFP *FC2 = dyn_cast<ConstantFP>(Factors[i].Op)) { | |
| const APFloat &F1 = FC1->getValueAPF(); | |
| APFloat F2(FC2->getValueAPF()); | |
| F2.changeSign(); | |
| if (F1 == F2) { | |
| FoundFactor = NeedsNegate = true; | |
| Factors.erase(Factors.begin() + i); | |
| break; | |
| } | |
| } | |
| } | |
| } | |
| if (!FoundFactor) { | |
| // Make sure to restore the operands to the expression tree. | |
| RewriteExprTree(BO, Factors); | |
| return nullptr; | |
| } | |
| BasicBlock::iterator InsertPt = ++BO->getIterator(); | |
| // If this was just a single multiply, remove the multiply and return the only | |
| // remaining operand. | |
| if (Factors.size() == 1) { | |
| RedoInsts.insert(BO); | |
| V = Factors[0].Op; | |
| } else { | |
| RewriteExprTree(BO, Factors); | |
| V = BO; | |
| } | |
| if (NeedsNegate) | |
| V = CreateNeg(V, "neg", &*InsertPt, BO); | |
| return V; | |
| } | |
| /// If V is a single-use multiply, recursively add its operands as factors, | |
| /// otherwise add V to the list of factors. | |
| /// | |
| /// Ops is the top-level list of add operands we're trying to factor. | |
| static void FindSingleUseMultiplyFactors(Value *V, | |
| SmallVectorImpl<Value*> &Factors) { | |
| BinaryOperator *BO = isReassociableOp(V, Instruction::Mul, Instruction::FMul); | |
| if (!BO) { | |
| Factors.push_back(V); | |
| return; | |
| } | |
| // Otherwise, add the LHS and RHS to the list of factors. | |
| FindSingleUseMultiplyFactors(BO->getOperand(1), Factors); | |
| FindSingleUseMultiplyFactors(BO->getOperand(0), Factors); | |
| } | |
| /// Optimize a series of operands to an 'and', 'or', or 'xor' instruction. | |
| /// This optimizes based on identities. If it can be reduced to a single Value, | |
| /// it is returned, otherwise the Ops list is mutated as necessary. | |
| static Value *OptimizeAndOrXor(unsigned Opcode, | |
| SmallVectorImpl<ValueEntry> &Ops) { | |
| // Scan the operand lists looking for X and ~X pairs, along with X,X pairs. | |
| // If we find any, we can simplify the expression. X&~X == 0, X|~X == -1. | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) { | |
| // First, check for X and ~X in the operand list. | |
| assert(i < Ops.size()); | |
| Value *X; | |
| if (match(Ops[i].Op, m_Not(m_Value(X)))) { // Cannot occur for ^. | |
| unsigned FoundX = FindInOperandList(Ops, i, X); | |
| if (FoundX != i) { | |
| if (Opcode == Instruction::And) // ...&X&~X = 0 | |
| return Constant::getNullValue(X->getType()); | |
| if (Opcode == Instruction::Or) // ...|X|~X = -1 | |
| return Constant::getAllOnesValue(X->getType()); | |
| } | |
| } | |
| // Next, check for duplicate pairs of values, which we assume are next to | |
| // each other, due to our sorting criteria. | |
| assert(i < Ops.size()); | |
| if (i+1 != Ops.size() && Ops[i+1].Op == Ops[i].Op) { | |
| if (Opcode == Instruction::And || Opcode == Instruction::Or) { | |
| // Drop duplicate values for And and Or. | |
| Ops.erase(Ops.begin()+i); | |
| --i; --e; | |
| ++NumAnnihil; | |
| continue; | |
| } | |
| // Drop pairs of values for Xor. | |
| assert(Opcode == Instruction::Xor); | |
| if (e == 2) | |
| return Constant::getNullValue(Ops[0].Op->getType()); | |
| // Y ^ X^X -> Y | |
| Ops.erase(Ops.begin()+i, Ops.begin()+i+2); | |
| i -= 1; e -= 2; | |
| ++NumAnnihil; | |
| } | |
| } | |
| return nullptr; | |
| } | |
| /// Helper function of CombineXorOpnd(). It creates a bitwise-and | |
| /// instruction with the given two operands, and return the resulting | |
| /// instruction. There are two special cases: 1) if the constant operand is 0, | |
| /// it will return NULL. 2) if the constant is ~0, the symbolic operand will | |
| /// be returned. | |
| static Value *createAndInstr(Instruction *InsertBefore, Value *Opnd, | |
| const APInt &ConstOpnd) { | |
| if (ConstOpnd.isZero()) | |
| return nullptr; | |
| if (ConstOpnd.isAllOnes()) | |
| return Opnd; | |
| Instruction *I = BinaryOperator::CreateAnd( | |
| Opnd, ConstantInt::get(Opnd->getType(), ConstOpnd), "and.ra", | |
| InsertBefore); | |
| I->setDebugLoc(InsertBefore->getDebugLoc()); | |
| return I; | |
| } | |
| // Helper function of OptimizeXor(). It tries to simplify "Opnd1 ^ ConstOpnd" | |
| // into "R ^ C", where C would be 0, and R is a symbolic value. | |
| // | |
| // If it was successful, true is returned, and the "R" and "C" is returned | |
| // via "Res" and "ConstOpnd", respectively; otherwise, false is returned, | |
| // and both "Res" and "ConstOpnd" remain unchanged. | |
| bool ReassociatePass::CombineXorOpnd(Instruction *I, XorOpnd *Opnd1, | |
| APInt &ConstOpnd, Value *&Res) { | |
| // Xor-Rule 1: (x | c1) ^ c2 = (x | c1) ^ (c1 ^ c1) ^ c2 | |
| // = ((x | c1) ^ c1) ^ (c1 ^ c2) | |
| // = (x & ~c1) ^ (c1 ^ c2) | |
| // It is useful only when c1 == c2. | |
| if (!Opnd1->isOrExpr() || Opnd1->getConstPart().isZero()) | |
| return false; | |
| if (!Opnd1->getValue()->hasOneUse()) | |
| return false; | |
| const APInt &C1 = Opnd1->getConstPart(); | |
| if (C1 != ConstOpnd) | |
| return false; | |
| Value *X = Opnd1->getSymbolicPart(); | |
| Res = createAndInstr(I, X, ~C1); | |
| // ConstOpnd was C2, now C1 ^ C2. | |
| ConstOpnd ^= C1; | |
| if (Instruction *T = dyn_cast<Instruction>(Opnd1->getValue())) | |
| RedoInsts.insert(T); | |
| return true; | |
| } | |
| // Helper function of OptimizeXor(). It tries to simplify | |
| // "Opnd1 ^ Opnd2 ^ ConstOpnd" into "R ^ C", where C would be 0, and R is a | |
| // symbolic value. | |
| // | |
| // If it was successful, true is returned, and the "R" and "C" is returned | |
| // via "Res" and "ConstOpnd", respectively (If the entire expression is | |
| // evaluated to a constant, the Res is set to NULL); otherwise, false is | |
| // returned, and both "Res" and "ConstOpnd" remain unchanged. | |
| bool ReassociatePass::CombineXorOpnd(Instruction *I, XorOpnd *Opnd1, | |
| XorOpnd *Opnd2, APInt &ConstOpnd, | |
| Value *&Res) { | |
| Value *X = Opnd1->getSymbolicPart(); | |
| if (X != Opnd2->getSymbolicPart()) | |
| return false; | |
| // This many instruction become dead.(At least "Opnd1 ^ Opnd2" will die.) | |
| int DeadInstNum = 1; | |
| if (Opnd1->getValue()->hasOneUse()) | |
| DeadInstNum++; | |
| if (Opnd2->getValue()->hasOneUse()) | |
| DeadInstNum++; | |
| // Xor-Rule 2: | |
| // (x | c1) ^ (x & c2) | |
| // = (x|c1) ^ (x&c2) ^ (c1 ^ c1) = ((x|c1) ^ c1) ^ (x & c2) ^ c1 | |
| // = (x & ~c1) ^ (x & c2) ^ c1 // Xor-Rule 1 | |
| // = (x & c3) ^ c1, where c3 = ~c1 ^ c2 // Xor-rule 3 | |
| // | |
| if (Opnd1->isOrExpr() != Opnd2->isOrExpr()) { | |
| if (Opnd2->isOrExpr()) | |
| std::swap(Opnd1, Opnd2); | |
| const APInt &C1 = Opnd1->getConstPart(); | |
| const APInt &C2 = Opnd2->getConstPart(); | |
| APInt C3((~C1) ^ C2); | |
| // Do not increase code size! | |
| if (!C3.isZero() && !C3.isAllOnes()) { | |
| int NewInstNum = ConstOpnd.getBoolValue() ? 1 : 2; | |
| if (NewInstNum > DeadInstNum) | |
| return false; | |
| } | |
| Res = createAndInstr(I, X, C3); | |
| ConstOpnd ^= C1; | |
| } else if (Opnd1->isOrExpr()) { | |
| // Xor-Rule 3: (x | c1) ^ (x | c2) = (x & c3) ^ c3 where c3 = c1 ^ c2 | |
| // | |
| const APInt &C1 = Opnd1->getConstPart(); | |
| const APInt &C2 = Opnd2->getConstPart(); | |
| APInt C3 = C1 ^ C2; | |
| // Do not increase code size | |
| if (!C3.isZero() && !C3.isAllOnes()) { | |
| int NewInstNum = ConstOpnd.getBoolValue() ? 1 : 2; | |
| if (NewInstNum > DeadInstNum) | |
| return false; | |
| } | |
| Res = createAndInstr(I, X, C3); | |
| ConstOpnd ^= C3; | |
| } else { | |
| // Xor-Rule 4: (x & c1) ^ (x & c2) = (x & (c1^c2)) | |
| // | |
| const APInt &C1 = Opnd1->getConstPart(); | |
| const APInt &C2 = Opnd2->getConstPart(); | |
| APInt C3 = C1 ^ C2; | |
| Res = createAndInstr(I, X, C3); | |
| } | |
| // Put the original operands in the Redo list; hope they will be deleted | |
| // as dead code. | |
| if (Instruction *T = dyn_cast<Instruction>(Opnd1->getValue())) | |
| RedoInsts.insert(T); | |
| if (Instruction *T = dyn_cast<Instruction>(Opnd2->getValue())) | |
| RedoInsts.insert(T); | |
| return true; | |
| } | |
| /// Optimize a series of operands to an 'xor' instruction. If it can be reduced | |
| /// to a single Value, it is returned, otherwise the Ops list is mutated as | |
| /// necessary. | |
| Value *ReassociatePass::OptimizeXor(Instruction *I, | |
| SmallVectorImpl<ValueEntry> &Ops) { | |
| if (Value *V = OptimizeAndOrXor(Instruction::Xor, Ops)) | |
| return V; | |
| if (Ops.size() == 1) | |
| return nullptr; | |
| SmallVector<XorOpnd, 8> Opnds; | |
| SmallVector<XorOpnd*, 8> OpndPtrs; | |
| Type *Ty = Ops[0].Op->getType(); | |
| APInt ConstOpnd(Ty->getScalarSizeInBits(), 0); | |
| // Step 1: Convert ValueEntry to XorOpnd | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) { | |
| Value *V = Ops[i].Op; | |
| const APInt *C; | |
| // TODO: Support non-splat vectors. | |
| if (match(V, m_APInt(C))) { | |
| ConstOpnd ^= *C; | |
| } else { | |
| XorOpnd O(V); | |
| O.setSymbolicRank(getRank(O.getSymbolicPart())); | |
| Opnds.push_back(O); | |
| } | |
| } | |
| // NOTE: From this point on, do *NOT* add/delete element to/from "Opnds". | |
| // It would otherwise invalidate the "Opnds"'s iterator, and hence invalidate | |
| // the "OpndPtrs" as well. For the similar reason, do not fuse this loop | |
| // with the previous loop --- the iterator of the "Opnds" may be invalidated | |
| // when new elements are added to the vector. | |
| for (unsigned i = 0, e = Opnds.size(); i != e; ++i) | |
| OpndPtrs.push_back(&Opnds[i]); | |
| // Step 2: Sort the Xor-Operands in a way such that the operands containing | |
| // the same symbolic value cluster together. For instance, the input operand | |
| // sequence ("x | 123", "y & 456", "x & 789") will be sorted into: | |
| // ("x | 123", "x & 789", "y & 456"). | |
| // | |
| // The purpose is twofold: | |
| // 1) Cluster together the operands sharing the same symbolic-value. | |
| // 2) Operand having smaller symbolic-value-rank is permuted earlier, which | |
| // could potentially shorten crital path, and expose more loop-invariants. | |
| // Note that values' rank are basically defined in RPO order (FIXME). | |
| // So, if Rank(X) < Rank(Y) < Rank(Z), it means X is defined earlier | |
| // than Y which is defined earlier than Z. Permute "x | 1", "Y & 2", | |
| // "z" in the order of X-Y-Z is better than any other orders. | |
| llvm::stable_sort(OpndPtrs, [](XorOpnd *LHS, XorOpnd *RHS) { | |
| return LHS->getSymbolicRank() < RHS->getSymbolicRank(); | |
| }); | |
| // Step 3: Combine adjacent operands | |
| XorOpnd *PrevOpnd = nullptr; | |
| bool Changed = false; | |
| for (unsigned i = 0, e = Opnds.size(); i < e; i++) { | |
| XorOpnd *CurrOpnd = OpndPtrs[i]; | |
| // The combined value | |
| Value *CV; | |
| // Step 3.1: Try simplifying "CurrOpnd ^ ConstOpnd" | |
| if (!ConstOpnd.isZero() && CombineXorOpnd(I, CurrOpnd, ConstOpnd, CV)) { | |
| Changed = true; | |
| if (CV) | |
| *CurrOpnd = XorOpnd(CV); | |
| else { | |
| CurrOpnd->Invalidate(); | |
| continue; | |
| } | |
| } | |
| if (!PrevOpnd || CurrOpnd->getSymbolicPart() != PrevOpnd->getSymbolicPart()) { | |
| PrevOpnd = CurrOpnd; | |
| continue; | |
| } | |
| // step 3.2: When previous and current operands share the same symbolic | |
| // value, try to simplify "PrevOpnd ^ CurrOpnd ^ ConstOpnd" | |
| if (CombineXorOpnd(I, CurrOpnd, PrevOpnd, ConstOpnd, CV)) { | |
| // Remove previous operand | |
| PrevOpnd->Invalidate(); | |
| if (CV) { | |
| *CurrOpnd = XorOpnd(CV); | |
| PrevOpnd = CurrOpnd; | |
| } else { | |
| CurrOpnd->Invalidate(); | |
| PrevOpnd = nullptr; | |
| } | |
| Changed = true; | |
| } | |
| } | |
| // Step 4: Reassemble the Ops | |
| if (Changed) { | |
| Ops.clear(); | |
| for (unsigned int i = 0, e = Opnds.size(); i < e; i++) { | |
| XorOpnd &O = Opnds[i]; | |
| if (O.isInvalid()) | |
| continue; | |
| ValueEntry VE(getRank(O.getValue()), O.getValue()); | |
| Ops.push_back(VE); | |
| } | |
| if (!ConstOpnd.isZero()) { | |
| Value *C = ConstantInt::get(Ty, ConstOpnd); | |
| ValueEntry VE(getRank(C), C); | |
| Ops.push_back(VE); | |
| } | |
| unsigned Sz = Ops.size(); | |
| if (Sz == 1) | |
| return Ops.back().Op; | |
| if (Sz == 0) { | |
| assert(ConstOpnd.isZero()); | |
| return ConstantInt::get(Ty, ConstOpnd); | |
| } | |
| } | |
| return nullptr; | |
| } | |
| /// Optimize a series of operands to an 'add' instruction. This | |
| /// optimizes based on identities. If it can be reduced to a single Value, it | |
| /// is returned, otherwise the Ops list is mutated as necessary. | |
| Value *ReassociatePass::OptimizeAdd(Instruction *I, | |
| SmallVectorImpl<ValueEntry> &Ops) { | |
| // Scan the operand lists looking for X and -X pairs. If we find any, we | |
| // can simplify expressions like X+-X == 0 and X+~X ==-1. While we're at it, | |
| // scan for any | |
| // duplicates. We want to canonicalize Y+Y+Y+Z -> 3*Y+Z. | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) { | |
| Value *TheOp = Ops[i].Op; | |
| // Check to see if we've seen this operand before. If so, we factor all | |
| // instances of the operand together. Due to our sorting criteria, we know | |
| // that these need to be next to each other in the vector. | |
| if (i+1 != Ops.size() && Ops[i+1].Op == TheOp) { | |
| // Rescan the list, remove all instances of this operand from the expr. | |
| unsigned NumFound = 0; | |
| do { | |
| Ops.erase(Ops.begin()+i); | |
| ++NumFound; | |
| } while (i != Ops.size() && Ops[i].Op == TheOp); | |
| LLVM_DEBUG(dbgs() << "\nFACTORING [" << NumFound << "]: " << *TheOp | |
| << '\n'); | |
| ++NumFactor; | |
| // Insert a new multiply. | |
| Type *Ty = TheOp->getType(); | |
| Constant *C = Ty->isIntOrIntVectorTy() ? | |
| ConstantInt::get(Ty, NumFound) : ConstantFP::get(Ty, NumFound); | |
| Instruction *Mul = CreateMul(TheOp, C, "factor", I, I); | |
| // Now that we have inserted a multiply, optimize it. This allows us to | |
| // handle cases that require multiple factoring steps, such as this: | |
| // (X*2) + (X*2) + (X*2) -> (X*2)*3 -> X*6 | |
| RedoInsts.insert(Mul); | |
| // If every add operand was a duplicate, return the multiply. | |
| if (Ops.empty()) | |
| return Mul; | |
| // Otherwise, we had some input that didn't have the dupe, such as | |
| // "A + A + B" -> "A*2 + B". Add the new multiply to the list of | |
| // things being added by this operation. | |
| Ops.insert(Ops.begin(), ValueEntry(getRank(Mul), Mul)); | |
| --i; | |
| e = Ops.size(); | |
| continue; | |
| } | |
| // Check for X and -X or X and ~X in the operand list. | |
| Value *X; | |
| if (!match(TheOp, m_Neg(m_Value(X))) && !match(TheOp, m_Not(m_Value(X))) && | |
| !match(TheOp, m_FNeg(m_Value(X)))) | |
| continue; | |
| unsigned FoundX = FindInOperandList(Ops, i, X); | |
| if (FoundX == i) | |
| continue; | |
| // Remove X and -X from the operand list. | |
| if (Ops.size() == 2 && | |
| (match(TheOp, m_Neg(m_Value())) || match(TheOp, m_FNeg(m_Value())))) | |
| return Constant::getNullValue(X->getType()); | |
| // Remove X and ~X from the operand list. | |
| if (Ops.size() == 2 && match(TheOp, m_Not(m_Value()))) | |
| return Constant::getAllOnesValue(X->getType()); | |
| Ops.erase(Ops.begin()+i); | |
| if (i < FoundX) | |
| --FoundX; | |
| else | |
| --i; // Need to back up an extra one. | |
| Ops.erase(Ops.begin()+FoundX); | |
| ++NumAnnihil; | |
| --i; // Revisit element. | |
| e -= 2; // Removed two elements. | |
| // if X and ~X we append -1 to the operand list. | |
| if (match(TheOp, m_Not(m_Value()))) { | |
| Value *V = Constant::getAllOnesValue(X->getType()); | |
| Ops.insert(Ops.end(), ValueEntry(getRank(V), V)); | |
| e += 1; | |
| } | |
| } | |
| // Scan the operand list, checking to see if there are any common factors | |
| // between operands. Consider something like A*A+A*B*C+D. We would like to | |
| // reassociate this to A*(A+B*C)+D, which reduces the number of multiplies. | |
| // To efficiently find this, we count the number of times a factor occurs | |
| // for any ADD operands that are MULs. | |
| DenseMap<Value*, unsigned> FactorOccurrences; | |
| // Keep track of each multiply we see, to avoid triggering on (X*4)+(X*4) | |
| // where they are actually the same multiply. | |
| unsigned MaxOcc = 0; | |
| Value *MaxOccVal = nullptr; | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) { | |
| BinaryOperator *BOp = | |
| isReassociableOp(Ops[i].Op, Instruction::Mul, Instruction::FMul); | |
| if (!BOp) | |
| continue; | |
| // Compute all of the factors of this added value. | |
| SmallVector<Value*, 8> Factors; | |
| FindSingleUseMultiplyFactors(BOp, Factors); | |
| assert(Factors.size() > 1 && "Bad linearize!"); | |
| // Add one to FactorOccurrences for each unique factor in this op. | |
| SmallPtrSet<Value*, 8> Duplicates; | |
| for (unsigned i = 0, e = Factors.size(); i != e; ++i) { | |
| Value *Factor = Factors[i]; | |
| if (!Duplicates.insert(Factor).second) | |
| continue; | |
| unsigned Occ = ++FactorOccurrences[Factor]; | |
| if (Occ > MaxOcc) { | |
| MaxOcc = Occ; | |
| MaxOccVal = Factor; | |
| } | |
| // If Factor is a negative constant, add the negated value as a factor | |
| // because we can percolate the negate out. Watch for minint, which | |
| // cannot be positivified. | |
| if (ConstantInt *CI = dyn_cast<ConstantInt>(Factor)) { | |
| if (CI->isNegative() && !CI->isMinValue(true)) { | |
| Factor = ConstantInt::get(CI->getContext(), -CI->getValue()); | |
| if (!Duplicates.insert(Factor).second) | |
| continue; | |
| unsigned Occ = ++FactorOccurrences[Factor]; | |
| if (Occ > MaxOcc) { | |
| MaxOcc = Occ; | |
| MaxOccVal = Factor; | |
| } | |
| } | |
| } else if (ConstantFP *CF = dyn_cast<ConstantFP>(Factor)) { | |
| if (CF->isNegative()) { | |
| APFloat F(CF->getValueAPF()); | |
| F.changeSign(); | |
| Factor = ConstantFP::get(CF->getContext(), F); | |
| if (!Duplicates.insert(Factor).second) | |
| continue; | |
| unsigned Occ = ++FactorOccurrences[Factor]; | |
| if (Occ > MaxOcc) { | |
| MaxOcc = Occ; | |
| MaxOccVal = Factor; | |
| } | |
| } | |
| } | |
| } | |
| } | |
| // If any factor occurred more than one time, we can pull it out. | |
| if (MaxOcc > 1) { | |
| LLVM_DEBUG(dbgs() << "\nFACTORING [" << MaxOcc << "]: " << *MaxOccVal | |
| << '\n'); | |
| ++NumFactor; | |
| // Create a new instruction that uses the MaxOccVal twice. If we don't do | |
| // this, we could otherwise run into situations where removing a factor | |
| // from an expression will drop a use of maxocc, and this can cause | |
| // RemoveFactorFromExpression on successive values to behave differently. | |
| Instruction *DummyInst = | |
| I->getType()->isIntOrIntVectorTy() | |
| ? BinaryOperator::CreateAdd(MaxOccVal, MaxOccVal) | |
| : BinaryOperator::CreateFAdd(MaxOccVal, MaxOccVal); | |
| SmallVector<WeakTrackingVH, 4> NewMulOps; | |
| for (unsigned i = 0; i != Ops.size(); ++i) { | |
| // Only try to remove factors from expressions we're allowed to. | |
| BinaryOperator *BOp = | |
| isReassociableOp(Ops[i].Op, Instruction::Mul, Instruction::FMul); | |
| if (!BOp) | |
| continue; | |
| if (Value *V = RemoveFactorFromExpression(Ops[i].Op, MaxOccVal)) { | |
| // The factorized operand may occur several times. Convert them all in | |
| // one fell swoop. | |
| for (unsigned j = Ops.size(); j != i;) { | |
| --j; | |
| if (Ops[j].Op == Ops[i].Op) { | |
| NewMulOps.push_back(V); | |
| Ops.erase(Ops.begin()+j); | |
| } | |
| } | |
| --i; | |
| } | |
| } | |
| // No need for extra uses anymore. | |
| DummyInst->deleteValue(); | |
| unsigned NumAddedValues = NewMulOps.size(); | |
| Value *V = EmitAddTreeOfValues(I, NewMulOps); | |
| // Now that we have inserted the add tree, optimize it. This allows us to | |
| // handle cases that require multiple factoring steps, such as this: | |
| // A*A*B + A*A*C --> A*(A*B+A*C) --> A*(A*(B+C)) | |
| assert(NumAddedValues > 1 && "Each occurrence should contribute a value"); | |
| (void)NumAddedValues; | |
| if (Instruction *VI = dyn_cast<Instruction>(V)) | |
| RedoInsts.insert(VI); | |
| // Create the multiply. | |
| Instruction *V2 = CreateMul(V, MaxOccVal, "reass.mul", I, I); | |
| // Rerun associate on the multiply in case the inner expression turned into | |
| // a multiply. We want to make sure that we keep things in canonical form. | |
| RedoInsts.insert(V2); | |
| // If every add operand included the factor (e.g. "A*B + A*C"), then the | |
| // entire result expression is just the multiply "A*(B+C)". | |
| if (Ops.empty()) | |
| return V2; | |
| // Otherwise, we had some input that didn't have the factor, such as | |
| // "A*B + A*C + D" -> "A*(B+C) + D". Add the new multiply to the list of | |
| // things being added by this operation. | |
| Ops.insert(Ops.begin(), ValueEntry(getRank(V2), V2)); | |
| } | |
| return nullptr; | |
| } | |
| /// Build up a vector of value/power pairs factoring a product. | |
| /// | |
| /// Given a series of multiplication operands, build a vector of factors and | |
| /// the powers each is raised to when forming the final product. Sort them in | |
| /// the order of descending power. | |
| /// | |
| /// (x*x) -> [(x, 2)] | |
| /// ((x*x)*x) -> [(x, 3)] | |
| /// ((((x*y)*x)*y)*x) -> [(x, 3), (y, 2)] | |
| /// | |
| /// \returns Whether any factors have a power greater than one. | |
| static bool collectMultiplyFactors(SmallVectorImpl<ValueEntry> &Ops, | |
| SmallVectorImpl<Factor> &Factors) { | |
| // FIXME: Have Ops be (ValueEntry, Multiplicity) pairs, simplifying this. | |
| // Compute the sum of powers of simplifiable factors. | |
| unsigned FactorPowerSum = 0; | |
| for (unsigned Idx = 1, Size = Ops.size(); Idx < Size; ++Idx) { | |
| Value *Op = Ops[Idx-1].Op; | |
| // Count the number of occurrences of this value. | |
| unsigned Count = 1; | |
| for (; Idx < Size && Ops[Idx].Op == Op; ++Idx) | |
| ++Count; | |
| // Track for simplification all factors which occur 2 or more times. | |
| if (Count > 1) | |
| FactorPowerSum += Count; | |
| } | |
| // We can only simplify factors if the sum of the powers of our simplifiable | |
| // factors is 4 or higher. When that is the case, we will *always* have | |
| // a simplification. This is an important invariant to prevent cyclicly | |
| // trying to simplify already minimal formations. | |
| if (FactorPowerSum < 4) | |
| return false; | |
| // Now gather the simplifiable factors, removing them from Ops. | |
| FactorPowerSum = 0; | |
| for (unsigned Idx = 1; Idx < Ops.size(); ++Idx) { | |
| Value *Op = Ops[Idx-1].Op; | |
| // Count the number of occurrences of this value. | |
| unsigned Count = 1; | |
| for (; Idx < Ops.size() && Ops[Idx].Op == Op; ++Idx) | |
| ++Count; | |
| if (Count == 1) | |
| continue; | |
| // Move an even number of occurrences to Factors. | |
| Count &= ~1U; | |
| Idx -= Count; | |
| FactorPowerSum += Count; | |
| Factors.push_back(Factor(Op, Count)); | |
| Ops.erase(Ops.begin()+Idx, Ops.begin()+Idx+Count); | |
| } | |
| // None of the adjustments above should have reduced the sum of factor powers | |
| // below our mininum of '4'. | |
| assert(FactorPowerSum >= 4); | |
| llvm::stable_sort(Factors, [](const Factor &LHS, const Factor &RHS) { | |
| return LHS.Power > RHS.Power; | |
| }); | |
| return true; | |
| } | |
| /// Build a tree of multiplies, computing the product of Ops. | |
| static Value *buildMultiplyTree(IRBuilderBase &Builder, | |
| SmallVectorImpl<Value*> &Ops) { | |
| if (Ops.size() == 1) | |
| return Ops.back(); | |
| Value *LHS = Ops.pop_back_val(); | |
| do { | |
| if (LHS->getType()->isIntOrIntVectorTy()) | |
| LHS = Builder.CreateMul(LHS, Ops.pop_back_val()); | |
| else | |
| LHS = Builder.CreateFMul(LHS, Ops.pop_back_val()); | |
| } while (!Ops.empty()); | |
| return LHS; | |
| } | |
| /// Build a minimal multiplication DAG for (a^x)*(b^y)*(c^z)*... | |
| /// | |
| /// Given a vector of values raised to various powers, where no two values are | |
| /// equal and the powers are sorted in decreasing order, compute the minimal | |
| /// DAG of multiplies to compute the final product, and return that product | |
| /// value. | |
| Value * | |
| ReassociatePass::buildMinimalMultiplyDAG(IRBuilderBase &Builder, | |
| SmallVectorImpl<Factor> &Factors) { | |
| assert(Factors[0].Power); | |
| SmallVector<Value *, 4> OuterProduct; | |
| for (unsigned LastIdx = 0, Idx = 1, Size = Factors.size(); | |
| Idx < Size && Factors[Idx].Power > 0; ++Idx) { | |
| if (Factors[Idx].Power != Factors[LastIdx].Power) { | |
| LastIdx = Idx; | |
| continue; | |
| } | |
| // We want to multiply across all the factors with the same power so that | |
| // we can raise them to that power as a single entity. Build a mini tree | |
| // for that. | |
| SmallVector<Value *, 4> InnerProduct; | |
| InnerProduct.push_back(Factors[LastIdx].Base); | |
| do { | |
| InnerProduct.push_back(Factors[Idx].Base); | |
| ++Idx; | |
| } while (Idx < Size && Factors[Idx].Power == Factors[LastIdx].Power); | |
| // Reset the base value of the first factor to the new expression tree. | |
| // We'll remove all the factors with the same power in a second pass. | |
| Value *M = Factors[LastIdx].Base = buildMultiplyTree(Builder, InnerProduct); | |
| if (Instruction *MI = dyn_cast<Instruction>(M)) | |
| RedoInsts.insert(MI); | |
| LastIdx = Idx; | |
| } | |
| // Unique factors with equal powers -- we've folded them into the first one's | |
| // base. | |
| Factors.erase(std::unique(Factors.begin(), Factors.end(), | |
| [](const Factor &LHS, const Factor &RHS) { | |
| return LHS.Power == RHS.Power; | |
| }), | |
| Factors.end()); | |
| // Iteratively collect the base of each factor with an add power into the | |
| // outer product, and halve each power in preparation for squaring the | |
| // expression. | |
| for (Factor &F : Factors) { | |
| if (F.Power & 1) | |
| OuterProduct.push_back(F.Base); | |
| F.Power >>= 1; | |
| } | |
| if (Factors[0].Power) { | |
| Value *SquareRoot = buildMinimalMultiplyDAG(Builder, Factors); | |
| OuterProduct.push_back(SquareRoot); | |
| OuterProduct.push_back(SquareRoot); | |
| } | |
| if (OuterProduct.size() == 1) | |
| return OuterProduct.front(); | |
| Value *V = buildMultiplyTree(Builder, OuterProduct); | |
| return V; | |
| } | |
| Value *ReassociatePass::OptimizeMul(BinaryOperator *I, | |
| SmallVectorImpl<ValueEntry> &Ops) { | |
| // We can only optimize the multiplies when there is a chain of more than | |
| // three, such that a balanced tree might require fewer total multiplies. | |
| if (Ops.size() < 4) | |
| return nullptr; | |
| // Try to turn linear trees of multiplies without other uses of the | |
| // intermediate stages into minimal multiply DAGs with perfect sub-expression | |
| // re-use. | |
| SmallVector<Factor, 4> Factors; | |
| if (!collectMultiplyFactors(Ops, Factors)) | |
| return nullptr; // All distinct factors, so nothing left for us to do. | |
| IRBuilder<> Builder(I); | |
| // The reassociate transformation for FP operations is performed only | |
| // if unsafe algebra is permitted by FastMathFlags. Propagate those flags | |
| // to the newly generated operations. | |
| if (auto FPI = dyn_cast<FPMathOperator>(I)) | |
| Builder.setFastMathFlags(FPI->getFastMathFlags()); | |
| Value *V = buildMinimalMultiplyDAG(Builder, Factors); | |
| if (Ops.empty()) | |
| return V; | |
| ValueEntry NewEntry = ValueEntry(getRank(V), V); | |
| Ops.insert(llvm::lower_bound(Ops, NewEntry), NewEntry); | |
| return nullptr; | |
| } | |
| Value *ReassociatePass::OptimizeExpression(BinaryOperator *I, | |
| SmallVectorImpl<ValueEntry> &Ops) { | |
| // Now that we have the linearized expression tree, try to optimize it. | |
| // Start by folding any constants that we found. | |
| const DataLayout &DL = I->getModule()->getDataLayout(); | |
| Constant *Cst = nullptr; | |
| unsigned Opcode = I->getOpcode(); | |
| while (!Ops.empty()) { | |
| if (auto *C = dyn_cast<Constant>(Ops.back().Op)) { | |
| if (!Cst) { | |
| Ops.pop_back(); | |
| Cst = C; | |
| continue; | |
| } | |
| if (Constant *Res = ConstantFoldBinaryOpOperands(Opcode, C, Cst, DL)) { | |
| Ops.pop_back(); | |
| Cst = Res; | |
| continue; | |
| } | |
| } | |
| break; | |
| } | |
| // If there was nothing but constants then we are done. | |
| if (Ops.empty()) | |
| return Cst; | |
| // Put the combined constant back at the end of the operand list, except if | |
| // there is no point. For example, an add of 0 gets dropped here, while a | |
| // multiplication by zero turns the whole expression into zero. | |
| if (Cst && Cst != ConstantExpr::getBinOpIdentity(Opcode, I->getType())) { | |
| if (Cst == ConstantExpr::getBinOpAbsorber(Opcode, I->getType())) | |
| return Cst; | |
| Ops.push_back(ValueEntry(0, Cst)); | |
| } | |
| if (Ops.size() == 1) return Ops[0].Op; | |
| // Handle destructive annihilation due to identities between elements in the | |
| // argument list here. | |
| unsigned NumOps = Ops.size(); | |
| switch (Opcode) { | |
| default: break; | |
| case Instruction::And: | |
| case Instruction::Or: | |
| if (Value *Result = OptimizeAndOrXor(Opcode, Ops)) | |
| return Result; | |
| break; | |
| case Instruction::Xor: | |
| if (Value *Result = OptimizeXor(I, Ops)) | |
| return Result; | |
| break; | |
| case Instruction::Add: | |
| case Instruction::FAdd: | |
| if (Value *Result = OptimizeAdd(I, Ops)) | |
| return Result; | |
| break; | |
| case Instruction::Mul: | |
| case Instruction::FMul: | |
| if (Value *Result = OptimizeMul(I, Ops)) | |
| return Result; | |
| break; | |
| } | |
| if (Ops.size() != NumOps) | |
| return OptimizeExpression(I, Ops); | |
| return nullptr; | |
| } | |
| // Remove dead instructions and if any operands are trivially dead add them to | |
| // Insts so they will be removed as well. | |
| void ReassociatePass::RecursivelyEraseDeadInsts(Instruction *I, | |
| OrderedSet &Insts) { | |
| assert(isInstructionTriviallyDead(I) && "Trivially dead instructions only!"); | |
| SmallVector<Value *, 4> Ops(I->operands()); | |
| ValueRankMap.erase(I); | |
| Insts.remove(I); | |
| RedoInsts.remove(I); | |
| llvm::salvageDebugInfo(*I); | |
| I->eraseFromParent(); | |
| for (auto *Op : Ops) | |
| if (Instruction *OpInst = dyn_cast<Instruction>(Op)) | |
| if (OpInst->use_empty()) | |
| Insts.insert(OpInst); | |
| } | |
| /// Zap the given instruction, adding interesting operands to the work list. | |
| void ReassociatePass::EraseInst(Instruction *I) { | |
| assert(isInstructionTriviallyDead(I) && "Trivially dead instructions only!"); | |
| LLVM_DEBUG(dbgs() << "Erasing dead inst: "; I->dump()); | |
| SmallVector<Value *, 8> Ops(I->operands()); | |
| // Erase the dead instruction. | |
| ValueRankMap.erase(I); | |
| RedoInsts.remove(I); | |
| llvm::salvageDebugInfo(*I); | |
| I->eraseFromParent(); | |
| // Optimize its operands. | |
| SmallPtrSet<Instruction *, 8> Visited; // Detect self-referential nodes. | |
| for (unsigned i = 0, e = Ops.size(); i != e; ++i) | |
| if (Instruction *Op = dyn_cast<Instruction>(Ops[i])) { | |
| // If this is a node in an expression tree, climb to the expression root | |
| // and add that since that's where optimization actually happens. | |
| unsigned Opcode = Op->getOpcode(); | |
| while (Op->hasOneUse() && Op->user_back()->getOpcode() == Opcode && | |
| Visited.insert(Op).second) | |
| Op = Op->user_back(); | |
| // The instruction we're going to push may be coming from a | |
| // dead block, and Reassociate skips the processing of unreachable | |
| // blocks because it's a waste of time and also because it can | |
| // lead to infinite loop due to LLVM's non-standard definition | |
| // of dominance. | |
| if (ValueRankMap.find(Op) != ValueRankMap.end()) | |
| RedoInsts.insert(Op); | |
| } | |
| MadeChange = true; | |
| } | |
| /// Recursively analyze an expression to build a list of instructions that have | |
| /// negative floating-point constant operands. The caller can then transform | |
| /// the list to create positive constants for better reassociation and CSE. | |
| static void getNegatibleInsts(Value *V, | |
| SmallVectorImpl<Instruction *> &Candidates) { | |
| // Handle only one-use instructions. Combining negations does not justify | |
| // replicating instructions. | |
| Instruction *I; | |
| if (!match(V, m_OneUse(m_Instruction(I)))) | |
| return; | |
| // Handle expressions of multiplications and divisions. | |
| // TODO: This could look through floating-point casts. | |
| const APFloat *C; | |
| switch (I->getOpcode()) { | |
| case Instruction::FMul: | |
| // Not expecting non-canonical code here. Bail out and wait. | |
| if (match(I->getOperand(0), m_Constant())) | |
| break; | |
| if (match(I->getOperand(1), m_APFloat(C)) && C->isNegative()) { | |
| Candidates.push_back(I); | |
| LLVM_DEBUG(dbgs() << "FMul with negative constant: " << *I << '\n'); | |
| } | |
| getNegatibleInsts(I->getOperand(0), Candidates); | |
| getNegatibleInsts(I->getOperand(1), Candidates); | |
| break; | |
| case Instruction::FDiv: | |
| // Not expecting non-canonical code here. Bail out and wait. | |
| if (match(I->getOperand(0), m_Constant()) && | |
| match(I->getOperand(1), m_Constant())) | |
| break; | |
| if ((match(I->getOperand(0), m_APFloat(C)) && C->isNegative()) || | |
| (match(I->getOperand(1), m_APFloat(C)) && C->isNegative())) { | |
| Candidates.push_back(I); | |
| LLVM_DEBUG(dbgs() << "FDiv with negative constant: " << *I << '\n'); | |
| } | |
| getNegatibleInsts(I->getOperand(0), Candidates); | |
| getNegatibleInsts(I->getOperand(1), Candidates); | |
| break; | |
| default: | |
| break; | |
| } | |
| } | |
| /// Given an fadd/fsub with an operand that is a one-use instruction | |
| /// (the fadd/fsub), try to change negative floating-point constants into | |
| /// positive constants to increase potential for reassociation and CSE. | |
| Instruction *ReassociatePass::canonicalizeNegFPConstantsForOp(Instruction *I, | |
| Instruction *Op, | |
| Value *OtherOp) { | |
| assert((I->getOpcode() == Instruction::FAdd || | |
| I->getOpcode() == Instruction::FSub) && "Expected fadd/fsub"); | |
| // Collect instructions with negative FP constants from the subtree that ends | |
| // in Op. | |
| SmallVector<Instruction *, 4> Candidates; | |
| getNegatibleInsts(Op, Candidates); | |
| if (Candidates.empty()) | |
| return nullptr; | |
| // Don't canonicalize x + (-Constant * y) -> x - (Constant * y), if the | |
| // resulting subtract will be broken up later. This can get us into an | |
| // infinite loop during reassociation. | |
| bool IsFSub = I->getOpcode() == Instruction::FSub; | |
| bool NeedsSubtract = !IsFSub && Candidates.size() % 2 == 1; | |
| if (NeedsSubtract && ShouldBreakUpSubtract(I)) | |
| return nullptr; | |
| for (Instruction *Negatible : Candidates) { | |
| const APFloat *C; | |
| if (match(Negatible->getOperand(0), m_APFloat(C))) { | |
| assert(!match(Negatible->getOperand(1), m_Constant()) && | |
| "Expecting only 1 constant operand"); | |
| assert(C->isNegative() && "Expected negative FP constant"); | |
| Negatible->setOperand(0, ConstantFP::get(Negatible->getType(), abs(*C))); | |
| MadeChange = true; | |
| } | |
| if (match(Negatible->getOperand(1), m_APFloat(C))) { | |
| assert(!match(Negatible->getOperand(0), m_Constant()) && | |
| "Expecting only 1 constant operand"); | |
| assert(C->isNegative() && "Expected negative FP constant"); | |
| Negatible->setOperand(1, ConstantFP::get(Negatible->getType(), abs(*C))); | |
| MadeChange = true; | |
| } | |
| } | |
| assert(MadeChange == true && "Negative constant candidate was not changed"); | |
| // Negations cancelled out. | |
| if (Candidates.size() % 2 == 0) | |
| return I; | |
| // Negate the final operand in the expression by flipping the opcode of this | |
| // fadd/fsub. | |
| assert(Candidates.size() % 2 == 1 && "Expected odd number"); | |
| IRBuilder<> Builder(I); | |
| Value *NewInst = IsFSub ? Builder.CreateFAddFMF(OtherOp, Op, I) | |
| : Builder.CreateFSubFMF(OtherOp, Op, I); | |
| I->replaceAllUsesWith(NewInst); | |
| RedoInsts.insert(I); | |
| return dyn_cast<Instruction>(NewInst); | |
| } | |
| /// Canonicalize expressions that contain a negative floating-point constant | |
| /// of the following form: | |
| /// OtherOp + (subtree) -> OtherOp {+/-} (canonical subtree) | |
| /// (subtree) + OtherOp -> OtherOp {+/-} (canonical subtree) | |
| /// OtherOp - (subtree) -> OtherOp {+/-} (canonical subtree) | |
| /// | |
| /// The fadd/fsub opcode may be switched to allow folding a negation into the | |
| /// input instruction. | |
| Instruction *ReassociatePass::canonicalizeNegFPConstants(Instruction *I) { | |
| LLVM_DEBUG(dbgs() << "Combine negations for: " << *I << '\n'); | |
| Value *X; | |
| Instruction *Op; | |
| if (match(I, m_FAdd(m_Value(X), m_OneUse(m_Instruction(Op))))) | |
| if (Instruction *R = canonicalizeNegFPConstantsForOp(I, Op, X)) | |
| I = R; | |
| if (match(I, m_FAdd(m_OneUse(m_Instruction(Op)), m_Value(X)))) | |
| if (Instruction *R = canonicalizeNegFPConstantsForOp(I, Op, X)) | |
| I = R; | |
| if (match(I, m_FSub(m_Value(X), m_OneUse(m_Instruction(Op))))) | |
| if (Instruction *R = canonicalizeNegFPConstantsForOp(I, Op, X)) | |
| I = R; | |
| return I; | |
| } | |
| /// Inspect and optimize the given instruction. Note that erasing | |
| /// instructions is not allowed. | |
| void ReassociatePass::OptimizeInst(Instruction *I) { | |
| // Only consider operations that we understand. | |
| if (!isa<UnaryOperator>(I) && !isa<BinaryOperator>(I)) | |
| return; | |
| if (I->getOpcode() == Instruction::Shl && isa<ConstantInt>(I->getOperand(1))) | |
| // If an operand of this shift is a reassociable multiply, or if the shift | |
| // is used by a reassociable multiply or add, turn into a multiply. | |
| if (isReassociableOp(I->getOperand(0), Instruction::Mul) || | |
| (I->hasOneUse() && | |
| (isReassociableOp(I->user_back(), Instruction::Mul) || | |
| isReassociableOp(I->user_back(), Instruction::Add)))) { | |
| Instruction *NI = ConvertShiftToMul(I); | |
| RedoInsts.insert(I); | |
| MadeChange = true; | |
| I = NI; | |
| } | |
| // Commute binary operators, to canonicalize the order of their operands. | |
| // This can potentially expose more CSE opportunities, and makes writing other | |
| // transformations simpler. | |
| if (I->isCommutative()) | |
| canonicalizeOperands(I); | |
| // Canonicalize negative constants out of expressions. | |
| if (Instruction *Res = canonicalizeNegFPConstants(I)) | |
| I = Res; | |
| // Don't optimize floating-point instructions unless they have the | |
| // appropriate FastMathFlags for reassociation enabled. | |
| if (isa<FPMathOperator>(I) && !hasFPAssociativeFlags(I)) | |
| return; | |
| // Do not reassociate boolean (i1) expressions. We want to preserve the | |
| // original order of evaluation for short-circuited comparisons that | |
| // SimplifyCFG has folded to AND/OR expressions. If the expression | |
| // is not further optimized, it is likely to be transformed back to a | |
| // short-circuited form for code gen, and the source order may have been | |
| // optimized for the most likely conditions. | |
| if (I->getType()->isIntegerTy(1)) | |
| return; | |
| // If this is a bitwise or instruction of operands | |
| // with no common bits set, convert it to X+Y. | |
| if (I->getOpcode() == Instruction::Or && | |
| shouldConvertOrWithNoCommonBitsToAdd(I) && !isLoadCombineCandidate(I) && | |
| haveNoCommonBitsSet(I->getOperand(0), I->getOperand(1), | |
| I->getModule()->getDataLayout(), /*AC=*/nullptr, I, | |
| /*DT=*/nullptr)) { | |
| Instruction *NI = convertOrWithNoCommonBitsToAdd(I); | |
| RedoInsts.insert(I); | |
| MadeChange = true; | |
| I = NI; | |
| } | |
| // If this is a subtract instruction which is not already in negate form, | |
| // see if we can convert it to X+-Y. | |
| if (I->getOpcode() == Instruction::Sub) { | |
| if (ShouldBreakUpSubtract(I)) { | |
| Instruction *NI = BreakUpSubtract(I, RedoInsts); | |
| RedoInsts.insert(I); | |
| MadeChange = true; | |
| I = NI; | |
| } else if (match(I, m_Neg(m_Value()))) { | |
| // Otherwise, this is a negation. See if the operand is a multiply tree | |
| // and if this is not an inner node of a multiply tree. | |
| if (isReassociableOp(I->getOperand(1), Instruction::Mul) && | |
| (!I->hasOneUse() || | |
| !isReassociableOp(I->user_back(), Instruction::Mul))) { | |
| Instruction *NI = LowerNegateToMultiply(I); | |
| // If the negate was simplified, revisit the users to see if we can | |
| // reassociate further. | |
| for (User *U : NI->users()) { | |
| if (BinaryOperator *Tmp = dyn_cast<BinaryOperator>(U)) | |
| RedoInsts.insert(Tmp); | |
| } | |
| RedoInsts.insert(I); | |
| MadeChange = true; | |
| I = NI; | |
| } | |
| } | |
| } else if (I->getOpcode() == Instruction::FNeg || | |
| I->getOpcode() == Instruction::FSub) { | |
| if (ShouldBreakUpSubtract(I)) { | |
| Instruction *NI = BreakUpSubtract(I, RedoInsts); | |
| RedoInsts.insert(I); | |
| MadeChange = true; | |
| I = NI; | |
| } else if (match(I, m_FNeg(m_Value()))) { | |
| // Otherwise, this is a negation. See if the operand is a multiply tree | |
| // and if this is not an inner node of a multiply tree. | |
| Value *Op = isa<BinaryOperator>(I) ? I->getOperand(1) : | |
| I->getOperand(0); | |
| if (isReassociableOp(Op, Instruction::FMul) && | |
| (!I->hasOneUse() || | |
| !isReassociableOp(I->user_back(), Instruction::FMul))) { | |
| // If the negate was simplified, revisit the users to see if we can | |
| // reassociate further. | |
| Instruction *NI = LowerNegateToMultiply(I); | |
| for (User *U : NI->users()) { | |
| if (BinaryOperator *Tmp = dyn_cast<BinaryOperator>(U)) | |
| RedoInsts.insert(Tmp); | |
| } | |
| RedoInsts.insert(I); | |
| MadeChange = true; | |
| I = NI; | |
| } | |
| } | |
| } | |
| // If this instruction is an associative binary operator, process it. | |
| if (!I->isAssociative()) return; | |
| BinaryOperator *BO = cast<BinaryOperator>(I); | |
| // If this is an interior node of a reassociable tree, ignore it until we | |
| // get to the root of the tree, to avoid N^2 analysis. | |
| unsigned Opcode = BO->getOpcode(); | |
| if (BO->hasOneUse() && BO->user_back()->getOpcode() == Opcode) { | |
| // During the initial run we will get to the root of the tree. | |
| // But if we get here while we are redoing instructions, there is no | |
| // guarantee that the root will be visited. So Redo later | |
| if (BO->user_back() != BO && | |
| BO->getParent() == BO->user_back()->getParent()) | |
| RedoInsts.insert(BO->user_back()); | |
| return; | |
| } | |
| // If this is an add tree that is used by a sub instruction, ignore it | |
| // until we process the subtract. | |
| if (BO->hasOneUse() && BO->getOpcode() == Instruction::Add && | |
| cast<Instruction>(BO->user_back())->getOpcode() == Instruction::Sub) | |
| return; | |
| if (BO->hasOneUse() && BO->getOpcode() == Instruction::FAdd && | |
| cast<Instruction>(BO->user_back())->getOpcode() == Instruction::FSub) | |
| return; | |
| ReassociateExpression(BO); | |
| } | |
| void ReassociatePass::ReassociateExpression(BinaryOperator *I) { | |
| // First, walk the expression tree, linearizing the tree, collecting the | |
| // operand information. | |
| SmallVector<RepeatedValue, 8> Tree; | |
| MadeChange |= LinearizeExprTree(I, Tree, RedoInsts); | |
| SmallVector<ValueEntry, 8> Ops; | |
| Ops.reserve(Tree.size()); | |
| for (const RepeatedValue &E : Tree) | |
| Ops.append(E.second.getZExtValue(), ValueEntry(getRank(E.first), E.first)); | |
| LLVM_DEBUG(dbgs() << "RAIn:\t"; PrintOps(I, Ops); dbgs() << '\n'); | |
| // Now that we have linearized the tree to a list and have gathered all of | |
| // the operands and their ranks, sort the operands by their rank. Use a | |
| // stable_sort so that values with equal ranks will have their relative | |
| // positions maintained (and so the compiler is deterministic). Note that | |
| // this sorts so that the highest ranking values end up at the beginning of | |
| // the vector. | |
| llvm::stable_sort(Ops); | |
| // Now that we have the expression tree in a convenient | |
| // sorted form, optimize it globally if possible. | |
| if (Value *V = OptimizeExpression(I, Ops)) { | |
| if (V == I) | |
| // Self-referential expression in unreachable code. | |
| return; | |
| // This expression tree simplified to something that isn't a tree, | |
| // eliminate it. | |
| LLVM_DEBUG(dbgs() << "Reassoc to scalar: " << *V << '\n'); | |
| I->replaceAllUsesWith(V); | |
| if (Instruction *VI = dyn_cast<Instruction>(V)) | |
| if (I->getDebugLoc()) | |
| VI->setDebugLoc(I->getDebugLoc()); | |
| RedoInsts.insert(I); | |
| ++NumAnnihil; | |
| return; | |
| } | |
| // We want to sink immediates as deeply as possible except in the case where | |
| // this is a multiply tree used only by an add, and the immediate is a -1. | |
| // In this case we reassociate to put the negation on the outside so that we | |
| // can fold the negation into the add: (-X)*Y + Z -> Z-X*Y | |
| if (I->hasOneUse()) { | |
| if (I->getOpcode() == Instruction::Mul && | |
| cast<Instruction>(I->user_back())->getOpcode() == Instruction::Add && | |
| isa<ConstantInt>(Ops.back().Op) && | |
| cast<ConstantInt>(Ops.back().Op)->isMinusOne()) { | |
| ValueEntry Tmp = Ops.pop_back_val(); | |
| Ops.insert(Ops.begin(), Tmp); | |
| } else if (I->getOpcode() == Instruction::FMul && | |
| cast<Instruction>(I->user_back())->getOpcode() == | |
| Instruction::FAdd && | |
| isa<ConstantFP>(Ops.back().Op) && | |
| cast<ConstantFP>(Ops.back().Op)->isExactlyValue(-1.0)) { | |
| ValueEntry Tmp = Ops.pop_back_val(); | |
| Ops.insert(Ops.begin(), Tmp); | |
| } | |
| } | |
| LLVM_DEBUG(dbgs() << "RAOut:\t"; PrintOps(I, Ops); dbgs() << '\n'); | |
| if (Ops.size() == 1) { | |
| if (Ops[0].Op == I) | |
| // Self-referential expression in unreachable code. | |
| return; | |
| // This expression tree simplified to something that isn't a tree, | |
| // eliminate it. | |
| I->replaceAllUsesWith(Ops[0].Op); | |
| if (Instruction *OI = dyn_cast<Instruction>(Ops[0].Op)) | |
| OI->setDebugLoc(I->getDebugLoc()); | |
| RedoInsts.insert(I); | |
| return; | |
| } | |
| if (Ops.size() > 2 && Ops.size() <= GlobalReassociateLimit) { | |
| // Find the pair with the highest count in the pairmap and move it to the | |
| // back of the list so that it can later be CSE'd. | |
| // example: | |
| // a*b*c*d*e | |
| // if c*e is the most "popular" pair, we can express this as | |
| // (((c*e)*d)*b)*a | |
| unsigned Max = 1; | |
| unsigned BestRank = 0; | |
| std::pair<unsigned, unsigned> BestPair; | |
| unsigned Idx = I->getOpcode() - Instruction::BinaryOpsBegin; | |
| for (unsigned i = 0; i < Ops.size() - 1; ++i) | |
| for (unsigned j = i + 1; j < Ops.size(); ++j) { | |
| unsigned Score = 0; | |
| Value *Op0 = Ops[i].Op; | |
| Value *Op1 = Ops[j].Op; | |
| if (std::less<Value *>()(Op1, Op0)) | |
| std::swap(Op0, Op1); | |
| auto it = PairMap[Idx].find({Op0, Op1}); | |
| if (it != PairMap[Idx].end()) { | |
| // Functions like BreakUpSubtract() can erase the Values we're using | |
| // as keys and create new Values after we built the PairMap. There's a | |
| // small chance that the new nodes can have the same address as | |
| // something already in the table. We shouldn't accumulate the stored | |
| // score in that case as it refers to the wrong Value. | |
| if (it->second.isValid()) | |
| Score += it->second.Score; | |
| } | |
| unsigned MaxRank = std::max(Ops[i].Rank, Ops[j].Rank); | |
| if (Score > Max || (Score == Max && MaxRank < BestRank)) { | |
| BestPair = {i, j}; | |
| Max = Score; | |
| BestRank = MaxRank; | |
| } | |
| } | |
| if (Max > 1) { | |
| auto Op0 = Ops[BestPair.first]; | |
| auto Op1 = Ops[BestPair.second]; | |
| Ops.erase(&Ops[BestPair.second]); | |
| Ops.erase(&Ops[BestPair.first]); | |
| Ops.push_back(Op0); | |
| Ops.push_back(Op1); | |
| } | |
| } | |
| // Now that we ordered and optimized the expressions, splat them back into | |
| // the expression tree, removing any unneeded nodes. | |
| RewriteExprTree(I, Ops); | |
| } | |
| void | |
| ReassociatePass::BuildPairMap(ReversePostOrderTraversal<Function *> &RPOT) { | |
| // Make a "pairmap" of how often each operand pair occurs. | |
| for (BasicBlock *BI : RPOT) { | |
| for (Instruction &I : *BI) { | |
| if (!I.isAssociative()) | |
| continue; | |
| // Ignore nodes that aren't at the root of trees. | |
| if (I.hasOneUse() && I.user_back()->getOpcode() == I.getOpcode()) | |
| continue; | |
| // Collect all operands in a single reassociable expression. | |
| // Since Reassociate has already been run once, we can assume things | |
| // are already canonical according to Reassociation's regime. | |
| SmallVector<Value *, 8> Worklist = { I.getOperand(0), I.getOperand(1) }; | |
| SmallVector<Value *, 8> Ops; | |
| while (!Worklist.empty() && Ops.size() <= GlobalReassociateLimit) { | |
| Value *Op = Worklist.pop_back_val(); | |
| Instruction *OpI = dyn_cast<Instruction>(Op); | |
| if (!OpI || OpI->getOpcode() != I.getOpcode() || !OpI->hasOneUse()) { | |
| Ops.push_back(Op); | |
| continue; | |
| } | |
| // Be paranoid about self-referencing expressions in unreachable code. | |
| if (OpI->getOperand(0) != OpI) | |
| Worklist.push_back(OpI->getOperand(0)); | |
| if (OpI->getOperand(1) != OpI) | |
| Worklist.push_back(OpI->getOperand(1)); | |
| } | |
| // Skip extremely long expressions. | |
| if (Ops.size() > GlobalReassociateLimit) | |
| continue; | |
| // Add all pairwise combinations of operands to the pair map. | |
| unsigned BinaryIdx = I.getOpcode() - Instruction::BinaryOpsBegin; | |
| SmallSet<std::pair<Value *, Value*>, 32> Visited; | |
| for (unsigned i = 0; i < Ops.size() - 1; ++i) { | |
| for (unsigned j = i + 1; j < Ops.size(); ++j) { | |
| // Canonicalize operand orderings. | |
| Value *Op0 = Ops[i]; | |
| Value *Op1 = Ops[j]; | |
| if (std::less<Value *>()(Op1, Op0)) | |
| std::swap(Op0, Op1); | |
| if (!Visited.insert({Op0, Op1}).second) | |
| continue; | |
| auto res = PairMap[BinaryIdx].insert({{Op0, Op1}, {Op0, Op1, 1}}); | |
| if (!res.second) { | |
| // If either key value has been erased then we've got the same | |
| // address by coincidence. That can't happen here because nothing is | |
| // erasing values but it can happen by the time we're querying the | |
| // map. | |
| assert(res.first->second.isValid() && "WeakVH invalidated"); | |
| ++res.first->second.Score; | |
| } | |
| } | |
| } | |
| } | |
| } | |
| } | |
| PreservedAnalyses ReassociatePass::run(Function &F, FunctionAnalysisManager &) { | |
| // Get the functions basic blocks in Reverse Post Order. This order is used by | |
| // BuildRankMap to pre calculate ranks correctly. It also excludes dead basic | |
| // blocks (it has been seen that the analysis in this pass could hang when | |
| // analysing dead basic blocks). | |
| ReversePostOrderTraversal<Function *> RPOT(&F); | |
| // Calculate the rank map for F. | |
| BuildRankMap(F, RPOT); | |
| // Build the pair map before running reassociate. | |
| // Technically this would be more accurate if we did it after one round | |
| // of reassociation, but in practice it doesn't seem to help much on | |
| // real-world code, so don't waste the compile time running reassociate | |
| // twice. | |
| // If a user wants, they could expicitly run reassociate twice in their | |
| // pass pipeline for further potential gains. | |
| // It might also be possible to update the pair map during runtime, but the | |
| // overhead of that may be large if there's many reassociable chains. | |
| BuildPairMap(RPOT); | |
| MadeChange = false; | |
| // Traverse the same blocks that were analysed by BuildRankMap. | |
| for (BasicBlock *BI : RPOT) { | |
| assert(RankMap.count(&*BI) && "BB should be ranked."); | |
| // Optimize every instruction in the basic block. | |
| for (BasicBlock::iterator II = BI->begin(), IE = BI->end(); II != IE;) | |
| if (isInstructionTriviallyDead(&*II)) { | |
| EraseInst(&*II++); | |
| } else { | |
| OptimizeInst(&*II); | |
| assert(II->getParent() == &*BI && "Moved to a different block!"); | |
| ++II; | |
| } | |
| // Make a copy of all the instructions to be redone so we can remove dead | |
| // instructions. | |
| OrderedSet ToRedo(RedoInsts); | |
| // Iterate over all instructions to be reevaluated and remove trivially dead | |
| // instructions. If any operand of the trivially dead instruction becomes | |
| // dead mark it for deletion as well. Continue this process until all | |
| // trivially dead instructions have been removed. | |
| while (!ToRedo.empty()) { | |
| Instruction *I = ToRedo.pop_back_val(); | |
| if (isInstructionTriviallyDead(I)) { | |
| RecursivelyEraseDeadInsts(I, ToRedo); | |
| MadeChange = true; | |
| } | |
| } | |
| // Now that we have removed dead instructions, we can reoptimize the | |
| // remaining instructions. | |
| while (!RedoInsts.empty()) { | |
| Instruction *I = RedoInsts.front(); | |
| RedoInsts.erase(RedoInsts.begin()); | |
| if (isInstructionTriviallyDead(I)) | |
| EraseInst(I); | |
| else | |
| OptimizeInst(I); | |
| } | |
| } | |
| // We are done with the rank map and pair map. | |
| RankMap.clear(); | |
| ValueRankMap.clear(); | |
| for (auto &Entry : PairMap) | |
| Entry.clear(); | |
| if (MadeChange) { | |
| PreservedAnalyses PA; | |
| PA.preserveSet<CFGAnalyses>(); | |
| return PA; | |
| } | |
| return PreservedAnalyses::all(); | |
| } | |
| namespace { | |
| class ReassociateLegacyPass : public FunctionPass { | |
| ReassociatePass Impl; | |
| public: | |
| static char ID; // Pass identification, replacement for typeid | |
| ReassociateLegacyPass() : FunctionPass(ID) { | |
| initializeReassociateLegacyPassPass(*PassRegistry::getPassRegistry()); | |
| } | |
| bool runOnFunction(Function &F) override { | |
| if (skipFunction(F)) | |
| return false; | |
| FunctionAnalysisManager DummyFAM; | |
| auto PA = Impl.run(F, DummyFAM); | |
| return !PA.areAllPreserved(); | |
| } | |
| void getAnalysisUsage(AnalysisUsage &AU) const override { | |
| AU.setPreservesCFG(); | |
| AU.addPreserved<AAResultsWrapperPass>(); | |
| AU.addPreserved<BasicAAWrapperPass>(); | |
| AU.addPreserved<GlobalsAAWrapperPass>(); | |
| } | |
| }; | |
| } // end anonymous namespace | |
| char ReassociateLegacyPass::ID = 0; | |
| INITIALIZE_PASS(ReassociateLegacyPass, "reassociate", | |
| "Reassociate expressions", false, false) | |
| // Public interface to the Reassociate pass | |
| FunctionPass *llvm::createReassociatePass() { | |
| return new ReassociateLegacyPass(); | |
| } |