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- //===- ScalarEvolutionNormalization.cpp - See below -----------------------===//
- //
- // 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 file implements utilities for working with "normalized" expressions.
- // See the comments at the top of ScalarEvolutionNormalization.h for details.
- //
- //===----------------------------------------------------------------------===//
- #include "llvm/Analysis/ScalarEvolutionNormalization.h"
- #include "llvm/Analysis/LoopInfo.h"
- #include "llvm/Analysis/ScalarEvolutionExpressions.h"
- using namespace llvm;
- /// TransformKind - Different types of transformations that
- /// TransformForPostIncUse can do.
- enum TransformKind {
- /// Normalize - Normalize according to the given loops.
- Normalize,
- /// Denormalize - Perform the inverse transform on the expression with the
- /// given loop set.
- Denormalize
- };
- namespace {
- struct NormalizeDenormalizeRewriter
- : public SCEVRewriteVisitor<NormalizeDenormalizeRewriter> {
- const TransformKind Kind;
- // NB! Pred is a function_ref. Storing it here is okay only because
- // we're careful about the lifetime of NormalizeDenormalizeRewriter.
- const NormalizePredTy Pred;
- NormalizeDenormalizeRewriter(TransformKind Kind, NormalizePredTy Pred,
- ScalarEvolution &SE)
- : SCEVRewriteVisitor<NormalizeDenormalizeRewriter>(SE), Kind(Kind),
- Pred(Pred) {}
- const SCEV *visitAddRecExpr(const SCEVAddRecExpr *Expr);
- };
- } // namespace
- const SCEV *
- NormalizeDenormalizeRewriter::visitAddRecExpr(const SCEVAddRecExpr *AR) {
- SmallVector<const SCEV *, 8> Operands;
- transform(AR->operands(), std::back_inserter(Operands),
- [&](const SCEV *Op) { return visit(Op); });
- if (!Pred(AR))
- return SE.getAddRecExpr(Operands, AR->getLoop(), SCEV::FlagAnyWrap);
- // Normalization and denormalization are fancy names for decrementing and
- // incrementing a SCEV expression with respect to a set of loops. Since
- // Pred(AR) has returned true, we know we need to normalize or denormalize AR
- // with respect to its loop.
- if (Kind == Denormalize) {
- // Denormalization / "partial increment" is essentially the same as \c
- // SCEVAddRecExpr::getPostIncExpr. Here we use an explicit loop to make the
- // symmetry with Normalization clear.
- for (int i = 0, e = Operands.size() - 1; i < e; i++)
- Operands[i] = SE.getAddExpr(Operands[i], Operands[i + 1]);
- } else {
- assert(Kind == Normalize && "Only two possibilities!");
- // Normalization / "partial decrement" is a bit more subtle. Since
- // incrementing a SCEV expression (in general) changes the step of the SCEV
- // expression as well, we cannot use the step of the current expression.
- // Instead, we have to use the step of the very expression we're trying to
- // compute!
- //
- // We solve the issue by recursively building up the result, starting from
- // the "least significant" operand in the add recurrence:
- //
- // Base case:
- // Single operand add recurrence. It's its own normalization.
- //
- // N-operand case:
- // {S_{N-1},+,S_{N-2},+,...,+,S_0} = S
- //
- // Since the step recurrence of S is {S_{N-2},+,...,+,S_0}, we know its
- // normalization by induction. We subtract the normalized step
- // recurrence from S_{N-1} to get the normalization of S.
- for (int i = Operands.size() - 2; i >= 0; i--)
- Operands[i] = SE.getMinusSCEV(Operands[i], Operands[i + 1]);
- }
- return SE.getAddRecExpr(Operands, AR->getLoop(), SCEV::FlagAnyWrap);
- }
- const SCEV *llvm::normalizeForPostIncUse(const SCEV *S,
- const PostIncLoopSet &Loops,
- ScalarEvolution &SE) {
- auto Pred = [&](const SCEVAddRecExpr *AR) {
- return Loops.count(AR->getLoop());
- };
- return NormalizeDenormalizeRewriter(Normalize, Pred, SE).visit(S);
- }
- const SCEV *llvm::normalizeForPostIncUseIf(const SCEV *S, NormalizePredTy Pred,
- ScalarEvolution &SE) {
- return NormalizeDenormalizeRewriter(Normalize, Pred, SE).visit(S);
- }
- const SCEV *llvm::denormalizeForPostIncUse(const SCEV *S,
- const PostIncLoopSet &Loops,
- ScalarEvolution &SE) {
- auto Pred = [&](const SCEVAddRecExpr *AR) {
- return Loops.count(AR->getLoop());
- };
- return NormalizeDenormalizeRewriter(Denormalize, Pred, SE).visit(S);
- }
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