diff --git a/mlir/include/mlir/IR/AffineMap.h b/mlir/include/mlir/IR/AffineMap.h
--- a/mlir/include/mlir/IR/AffineMap.h
+++ b/mlir/include/mlir/IR/AffineMap.h
@@ -162,6 +162,10 @@
   /// when the caller knows it is safe to do so.
   unsigned getDimPosition(unsigned idx) const;
 
+  /// Extracts the permuted position where given input index resides.
+  /// Fails when called on a non-permutation.
+  unsigned getPermutedPosition(unsigned input) const;
+
   /// Return true if any affine expression involves AffineDimExpr `position`.
   bool isFunctionOfDim(unsigned position) const {
     return llvm::any_of(getResults(), [&](AffineExpr e) {
diff --git a/mlir/lib/IR/AffineMap.cpp b/mlir/lib/IR/AffineMap.cpp
--- a/mlir/lib/IR/AffineMap.cpp
+++ b/mlir/lib/IR/AffineMap.cpp
@@ -336,6 +336,14 @@
   return getResult(idx).cast<AffineDimExpr>().getPosition();
 }
 
+unsigned AffineMap::getPermutedPosition(unsigned input) const {
+  assert(isPermutation() && "invalid permutation request");
+  for (unsigned i = 0, numResults = getNumResults(); i < numResults; i++)
+    if (getDimPosition(i) == input)
+      return i;
+  llvm_unreachable("incorrect permutation request");
+}
+
 /// Folds the results of the application of an affine map on the provided
 /// operands to a constant if possible. Returns false if the folding happens,
 /// true otherwise.