diff --git a/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h b/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
--- a/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
+++ b/mlir/include/mlir/Analysis/Presburger/IntegerRelation.h
@@ -505,6 +505,12 @@
   /// Return a set corresponding to all points in the range of the relation.
   IntegerPolyhedron getRangeSet() const;
 
+  /// Invert the relation i.e., swap it's domain and range.
+  ///
+  /// Formally, let the relation `this` be R: A -> B, then this operation
+  /// modifies R to be B -> A.
+  void inverse();
+
   void print(raw_ostream &os) const;
   void dump() const;
 
diff --git a/mlir/lib/Analysis/Presburger/IntegerRelation.cpp b/mlir/lib/Analysis/Presburger/IntegerRelation.cpp
--- a/mlir/lib/Analysis/Presburger/IntegerRelation.cpp
+++ b/mlir/lib/Analysis/Presburger/IntegerRelation.cpp
@@ -2102,6 +2102,12 @@
   return IntegerPolyhedron(std::move(copyRel));
 }
 
+void IntegerRelation::inverse() {
+  unsigned numRangeIds = getNumIdKind(IdKind::Range);
+  convertIdKind(IdKind::Domain, 0, getIdKindEnd(IdKind::Domain), IdKind::Range);
+  convertIdKind(IdKind::Range, 0, numRangeIds, IdKind::Domain);
+}
+
 void IntegerRelation::printSpace(raw_ostream &os) const {
   space.print(os);
   os << getNumConstraints() << " constraints\n";
diff --git a/mlir/unittests/Analysis/Presburger/IntegerRelationTest.cpp b/mlir/unittests/Analysis/Presburger/IntegerRelationTest.cpp
--- a/mlir/unittests/Analysis/Presburger/IntegerRelationTest.cpp
+++ b/mlir/unittests/Analysis/Presburger/IntegerRelationTest.cpp
@@ -41,3 +41,19 @@
 
   EXPECT_TRUE(rangeSet.isEqual(expectedRangeSet));
 }
+
+TEST(IntegerRelationTest, inverse) {
+  IntegerRelation rel =
+      parseRelationFromSet("(x, y, z)[N, M] : (z - x - y == 0, x >= 0, N - x "
+                           ">= 0, y >= 0, M - y >= 0)",
+                           2);
+
+  IntegerRelation inverseRel =
+      parseRelationFromSet("(z, x, y)[N, M]  : (x >= 0, N - x >= 0, y >= 0, M "
+                           "- y >= 0, x + y - z == 0)",
+                           1);
+
+  rel.inverse();
+
+  EXPECT_TRUE(rel.isEqual(inverseRel));
+}