[LoopInterchange] Handle LE and GE correctly (#124901)

LoopInterchange have converted `DVEntry::LE` and `DVEntry::GE` in
direction vectors to '<' and '>' respectively. This handling is
incorrect because the information about the '=' it lost. This leads to
miscompilation in some cases. To resolve this issue, convert them to '*'
instead.

Resolve #123920

Author: kasuga-fj

llvm/lib/Transforms/Scalar/LoopInterchange.cpp

@@ -160,11 +160,16 @@ static bool populateDependencyMatrix(CharMatrix &DepMatrix, unsigned Level,
         unsigned Levels = D->getLevels();
         char Direction;
         for (unsigned II = 1; II <= Levels; ++II) {
+          // `DVEntry::LE` is converted to `*`. This is because `LE` means `<`
+          // or `=`, for which we don't have an equivalent representation, so
+          // that the conservative approximation is necessary. The same goes for
+          // `DVEntry::GE`.
+          // TODO: Use of fine-grained expressions allows for more accurate
+          // analysis.
           unsigned Dir = D->getDirection(II);
-          if (Dir == Dependence::DVEntry::LT || Dir == Dependence::DVEntry::LE)
+          if (Dir == Dependence::DVEntry::LT)
             Direction = '<';
-          else if (Dir == Dependence::DVEntry::GT ||
-                   Dir == Dependence::DVEntry::GE)
+          else if (Dir == Dependence::DVEntry::GT)
             Direction = '>';
           else if (Dir == Dependence::DVEntry::EQ)
             Direction = '=';

llvm/test/Transforms/LoopInterchange/outer-dependency-lte.ll

@@ -0,0 +1,75 @@
+; RUN: opt < %s -passes=loop-interchange -pass-remarks-missed='loop-interchange' -pass-remarks-output=%t \
+; RUN:     -verify-dom-info -verify-loop-info -verify-loop-lcssa
+; RUN: FileCheck --input-file=%t %s
+
+;; The original code:
+;;
+;; #define N 4
+;; int a[N*N][N*N][N*N];
+;; void f() {
+;;   for (int i = 0; i < N; i++)
+;;     for (int j = 1; j < 2*N; j++)
+;;       for (int k = 1; k < 2*N; k++)
+;;         a[2*i][k+1][j-1] -= a[i+N-1][k][j];
+;; }
+;;
+;; The entry of the direction vector for the outermost loop is `DVEntry::LE`.
+;; We need to treat this as `*`, not `<`. See issue #123920 for details.
+
+; CHECK: --- !Missed
+; CHECK-NEXT: Pass:            loop-interchange
+; CHECK-NEXT: Name:            Dependence
+; CHECK-NEXT: Function:        f
+; CHECK: --- !Missed
+; CHECK-NEXT: Pass:            loop-interchange
+; CHECK-NEXT: Name:            Dependence
+; CHECK-NEXT: Function:        f
+
+@a = dso_local global [16 x [16 x [16 x i32]]] zeroinitializer, align 4
+
+define dso_local void @f() {
+entry:
+  br label %for.cond1.preheader
+
+for.cond1.preheader:
+  %i.039 = phi i32 [ 0, %entry ], [ %inc26, %for.cond.cleanup3 ]
+  %sub = add nuw nsw i32 %i.039, 3
+  %idxprom = zext nneg i32 %sub to i64
+  %mul = shl nuw nsw i32 %i.039, 1
+  %idxprom13 = zext nneg i32 %mul to i64
+  br label %for.cond5.preheader
+
+for.cond.cleanup:
+  ret void
+
+for.cond5.preheader:
+  %j.038 = phi i32 [ 1, %for.cond1.preheader ], [ %inc23, %for.cond.cleanup7 ]
+  %idxprom11 = zext nneg i32 %j.038 to i64
+  %sub18 = add nsw i32 %j.038, -1
+  %idxprom19 = sext i32 %sub18 to i64
+  br label %for.body8
+
+for.cond.cleanup3:
+  %inc26 = add nuw nsw i32 %i.039, 1
+  %cmp = icmp samesign ult i32 %i.039, 3
+  br i1 %cmp, label %for.cond1.preheader, label %for.cond.cleanup
+
+for.cond.cleanup7:
+  %inc23 = add nuw nsw i32 %j.038, 1
+  %cmp2 = icmp samesign ult i32 %j.038, 7
+  br i1 %cmp2, label %for.cond5.preheader, label %for.cond.cleanup3
+
+for.body8:
+  %k.037 = phi i32 [ 1, %for.cond5.preheader ], [ %add15, %for.body8 ]
+  %idxprom9 = zext nneg i32 %k.037 to i64
+  %arrayidx12 = getelementptr inbounds nuw [16 x [16 x [16 x i32]]], ptr @a, i64 0, i64 %idxprom, i64 %idxprom9, i64 %idxprom11
+  %0 = load i32, ptr %arrayidx12, align 4
+  %add15 = add nuw nsw i32 %k.037, 1
+  %idxprom16 = zext nneg i32 %add15 to i64
+  %arrayidx20 = getelementptr inbounds [16 x [16 x [16 x i32]]], ptr @a, i64 0, i64 %idxprom13, i64 %idxprom16, i64 %idxprom19
+  %1 = load i32, ptr %arrayidx20, align 4
+  %sub21 = sub nsw i32 %1, %0
+  store i32 %sub21, ptr %arrayidx20, align 4
+  %cmp6 = icmp samesign ult i32 %k.037, 7
+  br i1 %cmp6, label %for.body8, label %for.cond.cleanup7
+}