diff --git a/src/vstdlib/random.cpp b/src/vstdlib/random.cpp
index 6ced4a21..a83f74c9 100644
--- a/src/vstdlib/random.cpp
+++ b/src/vstdlib/random.cpp
@@ -175,7 +175,7 @@ int CUniformRandomStream::RandomShortMax()
 // gaussian-distributed numbers at once)
 //
 //-----------------------------------------------------------------------------
-CGaussianRandomStream::CGaussianRandomStream(IUniformRandomStream* pUniformStream)
+CGaussianRandomStream::CGaussianRandomStream(IUniformRandomStream* const pUniformStream)
 {
 	AttachToStream(pUniformStream);
 }
@@ -184,7 +184,7 @@ CGaussianRandomStream::CGaussianRandomStream(IUniformRandomStream* pUniformStrea
 //-----------------------------------------------------------------------------
 // Attaches to a random uniform stream
 //-----------------------------------------------------------------------------
-void CGaussianRandomStream::AttachToStream(IUniformRandomStream* pUniformStream)
+void CGaussianRandomStream::AttachToStream(IUniformRandomStream* const pUniformStream)
 {
 	AUTO_LOCK( m_mutex );
 
@@ -196,7 +196,7 @@ void CGaussianRandomStream::AttachToStream(IUniformRandomStream* pUniformStream)
 //-----------------------------------------------------------------------------
 // Generates random numbers
 //-----------------------------------------------------------------------------
-float CGaussianRandomStream::RandomFloat(float flMean, float flStdDev)
+float CGaussianRandomStream::RandomFloat(const float flMean, const float flStdDev)
 {
 	AUTO_LOCK( m_mutex );
 
diff --git a/src/vstdlib/random.h b/src/vstdlib/random.h
index dddf6e96..86acf9a8 100644
--- a/src/vstdlib/random.h
+++ b/src/vstdlib/random.h
@@ -72,13 +72,13 @@ class CGaussianRandomStream
 public:
 	// Passing in NULL will cause the gaussian stream to use the
 	// installed global random number generator
-	CGaussianRandomStream(IUniformRandomStream* pUniformStream = NULL);
+	CGaussianRandomStream(IUniformRandomStream* const pUniformStream = NULL);
 
 	// Attaches to a random uniform stream
-	void	AttachToStream(IUniformRandomStream* pUniformStream = NULL);
+	void	AttachToStream(IUniformRandomStream* const pUniformStream = NULL);
 
 	// Generates random numbers
-	float	RandomFloat(float flMean = 0.0f, float flStdDev = 1.0f);
+	float	RandomFloat(const float flMean = 0.0f, const float flStdDev = 1.0f);
 
 private:
 	IUniformRandomStream* m_pUniformStream;