diff --git a/src/H3.h b/src/H3.h
index e2dc865147..123dd6f374 100644
--- a/src/H3.h
+++ b/src/H3.h
@@ -58,6 +58,7 @@
 #define H3_H
 
 #include <climits>
+#include <cstring>
 
 // The number of values representable by a byte.
 #define H3_BYTE_RANGE (UCHAR_MAX+1)
@@ -112,6 +113,17 @@ public:
 
 		return result;
 		}
+
+	friend bool operator==(const H3& x, const H3& y)
+		{
+		return ! std::memcmp(x.byte_lookup, y.byte_lookup, N * H3_BYTE_RANGE);
+		}
+
+	friend bool operator!=(const H3& x, const H3& y)
+		{
+		return ! (x == y);
+		}
+
 private:
 	T byte_lookup[N][H3_BYTE_RANGE];
 };
diff --git a/src/Hasher.cc b/src/Hasher.cc
index 045adcd174..7a8d9a67e0 100644
--- a/src/Hasher.cc
+++ b/src/Hasher.cc
@@ -8,56 +8,69 @@ Hasher::UHF::UHF(size_t seed, const std::string& extra)
 	}
 
 Hasher::digest Hasher::UHF::hash(const void* x, size_t n) const
-  {
-  assert(n <= UHASH_KEY_SIZE);
-  return n == 0 ? 0 : h_(x, n);
-  }
+	{
+	assert(n <= UHASH_KEY_SIZE);
+	return n == 0 ? 0 : h_(x, n);
+	}
 
 size_t Hasher::UHF::compute_seed(size_t seed, const std::string& extra)
-  {
-  u_char buf[SHA256_DIGEST_LENGTH];
-  SHA256_CTX ctx;
-  sha256_init(&ctx);
-  if ( extra.empty() )
+	{
+	u_char buf[SHA256_DIGEST_LENGTH];
+	SHA256_CTX ctx;
+	sha256_init(&ctx);
+	if ( extra.empty() )
 		{
 		unsigned int first_seed = initial_seed();
 		sha256_update(&ctx, &first_seed, sizeof(first_seed));
 		}
 	else
 		{
-    sha256_update(&ctx, extra.c_str(), extra.size());
+		sha256_update(&ctx, extra.c_str(), extra.size());
+		}
+		sha256_update(&ctx, &seed, sizeof(seed));
+		sha256_final(&ctx, buf);
+		// Take the first sizeof(size_t) bytes as seed.
+		return *reinterpret_cast<size_t*>(buf);
 		}
-  sha256_update(&ctx, &seed, sizeof(seed));
-  sha256_final(&ctx, buf);
-  // Take the first sizeof(size_t) bytes as seed.
-  return *reinterpret_cast<size_t*>(buf);
-  }
 
 
 Hasher* Hasher::Create(size_t k, const std::string& name)
-  {
-  return new DefaultHasher(k, name);
-  }
+	{
+	return new DefaultHasher(k, name);
+	}
 
 Hasher::Hasher(size_t k, const std::string& name)
-  : k_(k), name_(name)
+	: k_(k), name_(name)
 	{
 	}
 
 DefaultHasher::DefaultHasher(size_t k, const std::string& name)
-  : Hasher(k, name)
-  {
-  for ( size_t i = 0; i < k; ++i )
-    hash_functions_.push_back(UHF(i, name));
-  }
+	: Hasher(k, name)
+	{
+	for ( size_t i = 0; i < k; ++i )
+		hash_functions_.push_back(UHF(i, name));
+	}
 
 Hasher::digest_vector DefaultHasher::Hash(const void* x, size_t n) const
-  {
-  digest_vector h(K(), 0);
-  for ( size_t i = 0; i < h.size(); ++i )
-    h[i] = hash_functions_[i](x, n);
-  return h;
-  }
+	{
+	digest_vector h(K(), 0);
+	for ( size_t i = 0; i < h.size(); ++i )
+		h[i] = hash_functions_[i](x, n);
+	return h;
+	}
+
+DefaultHasher* DefaultHasher::Clone() const
+	{
+	return new DefaultHasher(*this);
+	}
+
+bool DefaultHasher::Equals(const Hasher* other) const /* final */
+	{
+	if ( typeid(*this) != typeid(*other) )
+		return false;
+	const DefaultHasher* o = static_cast<const DefaultHasher*>(other);
+	return hash_functions_ == o->hash_functions_;
+	}
 
 DoubleHasher::DoubleHasher(size_t k, const std::string& name)
 	: Hasher(k, name),
@@ -67,13 +80,25 @@ DoubleHasher::DoubleHasher(size_t k, const std::string& name)
 	}
 
 Hasher::digest_vector DoubleHasher::Hash(const void* x, size_t n) const
-  {
-  digest h1 = h1_(x, n);
-  digest h2 = h2_(x, n);
-  digest_vector h(K(), 0);
-  for ( size_t i = 0; i < h.size(); ++i )
-    h[i] = h1 + i * h2;
-  return h;
-  }
+	{
+	digest h1 = h1_(x, n);
+	digest h2 = h2_(x, n);
+	digest_vector h(K(), 0);
+	for ( size_t i = 0; i < h.size(); ++i )
+		h[i] = h1 + i * h2;
+	return h;
+	}
 
+DoubleHasher* DoubleHasher::Clone() const
+	{
+	return new DoubleHasher(*this);
+	}
+
+bool DoubleHasher::Equals(const Hasher* other) const /* final */
+	{
+	if ( typeid(*this) != typeid(*other) )
+		return false;
+	const DoubleHasher* o = static_cast<const DoubleHasher*>(other);
+	return h1_ == o->h1_ && h2_ == o->h2_;
+	}
 
diff --git a/src/Hasher.h b/src/Hasher.h
index 8d0af6b03f..12393e7217 100644
--- a/src/Hasher.h
+++ b/src/Hasher.h
@@ -31,6 +31,10 @@ public:
 
   virtual digest_vector Hash(const void* x, size_t n) const = 0;
 
+  virtual Hasher* Clone() const = 0;
+
+  virtual bool Equals(const Hasher* other) const = 0;
+
   size_t K() const { return k_; }
   const std::string& Name() const { return name_; }
 
@@ -64,6 +68,16 @@ protected:
       return hash(x, n);
     }
 
+    friend bool operator==(const UHF& x, const UHF& y)
+    {
+      return x.h_ == y.h_;
+    }
+
+    friend bool operator!=(const UHF& x, const UHF& y)
+    {
+      return ! (x == y);
+    }
+
     digest hash(const void* x, size_t n) const;
 
   private:
@@ -87,6 +101,8 @@ public:
   DefaultHasher(size_t k, const std::string& name);
 
   virtual digest_vector Hash(const void* x, size_t n) const /* final */;
+  virtual DefaultHasher* Clone() const /* final */;
+  virtual bool Equals(const Hasher* other) const /* final */;
 
 private:
   std::vector<UHF> hash_functions_;
@@ -100,6 +116,8 @@ public:
   DoubleHasher(size_t k, const std::string& name);
 
   virtual digest_vector Hash(const void* x, size_t n) const /* final */;
+  virtual DoubleHasher* Clone() const /* final */;
+  virtual bool Equals(const Hasher* other) const /* final */;
 
 private:
   UHF h1_;