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+//===- ScalarEvolutionNormalization.cpp - See below -----------------------===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file is distributed under the University of Illinois Open Source
+// License. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+//
+// This file implements utilities for working with "normalized" expressions.
+// See the comments at the top of ScalarEvolutionNormalization.h for details.
+//
+//===----------------------------------------------------------------------===//
+
+#include "llvm/Analysis/LoopInfo.h"
+#include "llvm/Analysis/ScalarEvolutionExpressions.h"
+#include "llvm/Analysis/ScalarEvolutionNormalization.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);
+}