2 files changed, 6 insertions, 1 deletions
diff --git a/src/utils/range.h b/src/utils/range.h
index ce25298..e4ef12f 100644
--- a/src/utils/range.h
+++ b/src/utils/range.h
@@ -7,7 +7,7 @@
 
 struct range {
   constexpr explicit range(u64 start, u64 end) : start{start}, end{end} {
-    assert(start < end);
+    assert(start <= end);
   }
 
   constexpr bool overlaps(range rhs) const {
@@ -18,6 +18,10 @@ struct range {
     return start <= rhs.start && rhs.end <= end;
   }
 
+  constexpr bool operator==(range rhs) const {
+    return start == rhs.start && end == rhs.end;
+  }
+
   u64 start;
   u64 end;
 };
diff --git a/src/utils/types.h b/src/utils/types.h
index a13b8ef..4f824f6 100644
--- a/src/utils/types.h
+++ b/src/utils/types.h
@@ -3,6 +3,7 @@
 
 #include <cstdint>
 
+using u8 = std::uint8_t;
 using u32 = std::uint32_t;
 using u64 = std::uint64_t;