diff --git a/src/Type.h b/src/Type.h
index 41d6f870846d..f281cba2ac93 100644
--- a/src/Type.h
+++ b/src/Type.h
@@ -446,6 +446,16 @@ struct Type {
         return type != other.type || (code() == Handle && !same_handle_type(other));
     }
 
+    /** Compare two types for equality */
+    bool operator==(const halide_type_t &other) const {
+        return type == other;
+    }
+
+    /** Compare two types for inequality */
+    bool operator!=(const halide_type_t &other) const {
+        return type != other;
+    }
+
     /** Compare ordering of two types so they can be used in certain containers and algorithms */
     bool operator<(const Type &other) const {
         if (type < other.type) {
diff --git a/src/runtime/HalideBuffer.h b/src/runtime/HalideBuffer.h
index 434866568cab..2c67a35f941c 100644
--- a/src/runtime/HalideBuffer.h
+++ b/src/runtime/HalideBuffer.h
@@ -130,7 +130,7 @@ struct DeviceRefCount {
 template<typename T = void, int D = 4>
 class Buffer {
     /** The underlying halide_buffer_t */
-    halide_buffer_t buf = {0};
+    halide_buffer_t buf = {};
 
     /** Some in-class storage for shape of the dimensions. */
     halide_dimension_t shape[D];