diff --git a/include/triton/lang/type.h b/include/triton/lang/type.h
index 59ea8eb3f..8b63b401c 100644
--- a/include/triton/lang/type.h
+++ b/include/triton/lang/type.h
@@ -331,7 +331,6 @@ public:
   using ShapeInt = std::vector<int>;
 
 public:
-  static TileType* New(const ShapeExpr& expr, QualType eleType);
   static TileType* New(const ShapeInt& shape, QualType eleType);
   virtual ~TileType() { }
 
@@ -345,6 +344,7 @@ public:
   }
 
   ShapeInt Shape() { return shape_; }
+
   int NumEle() const {
     int ret = 1;
     for(int s: shape_)
@@ -352,24 +352,13 @@ public:
     return ret;
   }
 
-protected:
-  TileType(MemPool* pool, const ShapeExpr& expr, QualType derived)
-    : DerivedType(pool, derived),
-      shapeExpr_(expr) {
-    bool isComplete = true;
-    for(Expr* s: shapeExpr_)
-      isComplete = isComplete && !s;
-    SetComplete(isComplete);
+  bool CheckPow2NumEl() const {
+    int n = NumEle();
+    return n && !(n & (n - 1));
   }
 
-  TileType(MemPool* pool, const ShapeInt& shape, QualType derived)
-    : DerivedType(pool, derived),
-      shape_(shape) {
-    bool isComplete = true;
-    for(int s: shape_)
-      isComplete = isComplete && (s>=0);
-    SetComplete(isComplete);
-  }
+protected:
+  TileType(MemPool* pool, const ShapeInt& shape, QualType derived);
 
 protected:
   ShapeExpr shapeExpr_;
diff --git a/lib/lang/ast.cc b/lib/lang/ast.cc
index 6aaf13408..62c6a0b6c 100644
--- a/lib/lang/ast.cc
+++ b/lib/lang/ast.cc
@@ -448,7 +448,10 @@ void BinaryOp::RangeOpTypeChecking() {
   int len = static_cast<int>(end - begin);
   if(len < 0)
     Error(this, "range cannot be negative");
-  type_ = TileType::New(TileType::ShapeInt{len}, lhs_->Type());
+  TileType* ret = TileType::New(TileType::ShapeInt{len}, lhs_->Type());
+  if(!ret->CheckPow2NumEl())
+    Error(this, "range must have power of 2 number of elements");
+  type_ = ret;
 }
 
 void BinaryOp::MaskedDerefOpTypeChecking() {
@@ -751,6 +754,8 @@ void UnaryOp::CastOpTypeChecking() {
     if(type_->IsScalar() && operandType->ToTile()->NumEle() != 1)
       Error(this, "tile with more than one element cannot be casted to scalar");
     if(type_->IsTile() && operandType->IsTile()){
+      if(!type_->ToTile()->CheckPow2NumEl())
+        Error(this, "tile must have power of 2 number of elements");
       auto operandShape = operandType->ToTile()->Shape();
       auto shape = type_->ToTile()->Shape();
       // this is a shape downcast
diff --git a/lib/lang/parser.cc b/lib/lang/parser.cc
index 2ab65d150..8f6ad617f 100644
--- a/lib/lang/parser.cc
+++ b/lib/lang/parser.cc
@@ -1787,8 +1787,10 @@ QualType Parser::ParseArrayFuncDeclarator(const Token* ident, QualType base) {
       Error(ident, "'%s' has incomplete element type", ident->str_.c_str());
     }
     // return a pointer for tiles in constant memory:
-    return TileType::New(shape, base);
-
+    TileType* ret = TileType::New(shape, base);
+    if(!ret->CheckPow2NumEl())
+      Error(ts_.Peek(), "tile must have power of 2 number of elements");
+    return ret;
   } else if (ts_.Try('(')) {	// Function declaration
     if (base->ToFunc()) {
       Error(ts_.Peek(),
diff --git a/lib/lang/type.cc b/lib/lang/type.cc
index 13d09cf89..dc0b65125 100644
--- a/lib/lang/type.cc
+++ b/lib/lang/type.cc
@@ -110,11 +110,6 @@ ArrayType* ArrayType::New(Expr* expr, QualType eleType) {
          ArrayType(&arrayTypePool, expr, eleType);
 }
 
-TileType* TileType::New(const ShapeExpr &expr, QualType eleType) {
-  return new (tileTypePool.Alloc())
-         TileType(&tileTypePool, expr, eleType);
-}
-
 TileType* TileType::New(const ShapeInt &shape, QualType eleType) {
   return new (tileTypePool.Alloc())
          TileType(&tileTypePool, shape, eleType);
@@ -316,6 +311,15 @@ bool ArrayType::Compatible(const Type& other) const {
   return true;
 }
 
+TileType::TileType(MemPool* pool, const ShapeInt& shape, QualType derived)
+    : DerivedType(pool, derived),
+      shape_(shape) {
+    bool isComplete = true;
+    for(int s: shape_)
+      isComplete = isComplete && (s>=0);
+    SetComplete(isComplete);
+}
+
 bool TileType::Compatible(const Type& other) const {
   // For two tile type to be compatible,
   // the element types must be compatible