[LoopInterchange] Prevent from undoing its own transformation (#127473)

LoopInterchange uses the bubble-sort fashion algorithm to sort the loops
in a loop nest. For two loops `A` and `B`, it calls `isProfitable(A, B)`
to determine whether these loops should be exchanged. The result of
`isProfitable(A, B)` should be conservative, that is, it should return
true only when we are sure exchanging `A` and `B` will improve
performance. If it's not conservative enough, it's possible that a
subsequent `isProfitable(B, A)` will also return true, in which case
LoopInterchange will undo its previous transformation. To avoid such
cases, `isProfitable(B, A)` must not return true if `isProfitable(A, B)`
returned true in the past. However, the current implementation can be in
such a situation. This patch resolves it by correcting the handling of
two loops that have the same cache cost.

This resolve the problem mentioned in
https://github.com/llvm/llvm-project/pull/118267#issuecomment-2510759354.
diff --git a/llvm/lib/Transforms/Scalar/LoopInterchange.cpp b/llvm/lib/Transforms/Scalar/LoopInterchange.cpp
index 364acb0..4366418 100644
--- a/llvm/lib/Transforms/Scalar/LoopInterchange.cpp
+++ b/llvm/lib/Transforms/Scalar/LoopInterchange.cpp
@@ -1146,17 +1146,15 @@
   if (OuterLoopIt == CostMap.end())
     return std::nullopt;
 
+  if (CC->getLoopCost(*OuterLoop) == CC->getLoopCost(*InnerLoop))
+    return std::nullopt;
   unsigned InnerIndex = InnerLoopIt->second;
   unsigned OuterIndex = OuterLoopIt->second;
   LLVM_DEBUG(dbgs() << "InnerIndex = " << InnerIndex
                     << ", OuterIndex = " << OuterIndex << "\n");
-  if (InnerIndex < OuterIndex)
-    return std::optional<bool>(true);
   assert(InnerIndex != OuterIndex && "CostMap should assign unique "
                                      "numbers to each loop");
-  if (CC->getLoopCost(*OuterLoop) == CC->getLoopCost(*InnerLoop))
-    return std::nullopt;
-  return std::optional<bool>(false);
+  return std::optional<bool>(InnerIndex < OuterIndex);
 }
 
 std::optional<bool>
diff --git a/llvm/test/Transforms/LoopInterchange/profitability-redundant-interchange.ll b/llvm/test/Transforms/LoopInterchange/profitability-redundant-interchange.ll
new file mode 100644
index 0000000..ceea36a
--- /dev/null
+++ b/llvm/test/Transforms/LoopInterchange/profitability-redundant-interchange.ll
@@ -0,0 +1,81 @@
+; RUN: opt < %s -passes=loop-interchange -cache-line-size=1 -pass-remarks-output=%t -disable-output \
+; RUN:      -verify-dom-info -verify-loop-info
+; RUN: FileCheck -input-file %t %s
+
+
+; Test that loop-interchange doesn't undo its own transoformation. This is
+; the case when the cost computed by CacheCost is the same for the loop of `j`
+; and `k`.
+;
+; #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[i][k+1][j-1] -= a[i+N-1][k][j];
+; }
+
+; CHECK:      --- !Passed
+; CHECK-NEXT: Pass:            loop-interchange
+; CHECK-NEXT: Name:            Interchanged
+; CHECK-NEXT: Function:        f
+; CHECK-NEXT: Args:
+; CHECK-NEXT:    - String:          Loop interchanged with enclosing loop.
+; CHECK-NEXT: ...
+; CHECK-NEXT: --- !Missed
+; CHECK-NEXT: Pass:            loop-interchange
+; CHECK-NEXT: Name:            Dependence
+; CHECK-NEXT: Function:        f
+; CHECK-NEXT: Args:
+; CHECK-NEXT:  - String:       Cannot interchange loops due to dependences.
+; CHECK-NEXT: ...
+; CHECK-NEXT: --- !Missed
+; CHECK-NEXT: Pass:            loop-interchange
+; CHECK-NEXT: Name:            InterchangeNotProfitable
+; CHECK-NEXT: Function:        f
+; CHECK-NEXT: Args:
+; CHECK-NEXT:   - String:          Interchanging loops is not considered to improve cache locality nor vectorization.
+; CHECK-NEXT: ...
+
+@a = dso_local local_unnamed_addr 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:
+  %indvars.iv46 = phi i64 [ 0, %entry ], [ %indvars.iv.next47, %for.cond.cleanup3 ]
+  %0 = add nuw nsw i64 %indvars.iv46, 3
+  br label %for.cond5.preheader
+
+for.cond5.preheader:
+  %indvars.iv41 = phi i64 [ 1, %for.cond1.preheader ], [ %indvars.iv.next42, %for.cond.cleanup7 ]
+  %1 = add nsw i64 %indvars.iv41, -1
+  br label %for.body8
+
+for.cond.cleanup3:
+  %indvars.iv.next47 = add nuw nsw i64 %indvars.iv46, 1
+  %exitcond50 = icmp ne i64 %indvars.iv.next47, 4
+  br i1 %exitcond50, label %for.cond1.preheader, label %for.cond.cleanup
+
+for.cond.cleanup7:
+  %indvars.iv.next42 = add nuw nsw i64 %indvars.iv41, 1
+  %exitcond45 = icmp ne i64 %indvars.iv.next42, 8
+  br i1 %exitcond45, label %for.cond5.preheader, label %for.cond.cleanup3
+
+for.body8:
+  %indvars.iv = phi i64 [ 1, %for.cond5.preheader ], [ %indvars.iv.next, %for.body8 ]
+  %arrayidx12 = getelementptr inbounds nuw [16 x [16 x [16 x i32]]], ptr @a, i64 0, i64 %0, i64 %indvars.iv, i64 %indvars.iv41
+  %2 = load i32, ptr %arrayidx12, align 4
+  %indvars.iv.next = add nuw nsw i64 %indvars.iv, 1
+  %arrayidx20 = getelementptr inbounds [16 x [16 x [16 x i32]]], ptr @a, i64 0, i64 %indvars.iv46, i64 %indvars.iv.next, i64 %1
+  %3 = load i32, ptr %arrayidx20, align 4
+  %sub21 = sub nsw i32 %3, %2
+  store i32 %sub21, ptr %arrayidx20, align 4
+  %exitcond = icmp ne i64 %indvars.iv.next, 8
+  br i1 %exitcond, label %for.body8, label %for.cond.cleanup7
+
+for.cond.cleanup:
+  ret void
+}