diff --git a/include/irrMath.h b/include/irrMath.h
index e3b75e02..0219bd48 100644
--- a/include/irrMath.h
+++ b/include/irrMath.h
@@ -9,6 +9,7 @@
 #include <float.h>
 #include <stdlib.h> // for abs() etc.
 #include <limits.h> // For INT_MAX / UINT_MAX
+#include <type_traits>
 
 namespace irr
 {
@@ -17,9 +18,6 @@ namespace core
 
 	//! Rounding error constant often used when comparing f32 values.
 
-	const s32 ROUNDING_ERROR_S32 = 0;
-
-	const s64 ROUNDING_ERROR_S64 = 0;
 	const f32 ROUNDING_ERROR_f32 = 0.000001f;
 	const f64 ROUNDING_ERROR_f64 = 0.00000001;
 
@@ -170,30 +168,6 @@ namespace core
 		return ROUNDING_ERROR_f64;
 	}
 
-	template <>
-	inline s32 roundingError()
-	{
-		return ROUNDING_ERROR_S32;
-	}
-
-	template <>
-	inline u32 roundingError()
-	{
-		return ROUNDING_ERROR_S32;
-	}
-
-	template <>
-	inline s64 roundingError()
-	{
-		return ROUNDING_ERROR_S64;
-	}
-
-	template <>
-	inline u64 roundingError()
-	{
-		return ROUNDING_ERROR_S64;
-	}
-
 	template <class T>
 	inline T relativeErrorFactor()
 	{
@@ -212,13 +186,19 @@ namespace core
 		return 8;
 	}
 
-	//! returns if a equals b, taking possible rounding errors into account
-	template <class T>
-	inline bool equals(const T a, const T b, const T tolerance = roundingError<T>())
+	//! returns if a equals b, for types without rounding errors
+	template <class T, std::enable_if_t<std::is_integral<T>::value, bool> = true>
+	inline bool equals(const T a, const T b)
 	{
-		return (a + tolerance >= b) && (a - tolerance <= b);
+		return a == b;
 	}
 
+	//! returns if a equals b, taking possible rounding errors into account
+	template <class T, std::enable_if_t<std::is_floating_point<T>::value, bool> = true>
+	inline bool equals(const T a, const T b, const T tolerance = roundingError<T>())
+	{
+		return abs(a - b) <= tolerance;
+	}
 
 	//! returns if a equals b, taking relative error in form of factor
 	//! this particular function does not involve any division.
diff --git a/include/vector2d.h b/include/vector2d.h
index 75ca08b7..549661ad 100644
--- a/include/vector2d.h
+++ b/include/vector2d.h
@@ -111,11 +111,10 @@ public:
 	//! Checks if this vector equals the other one.
 	/** Takes floating point rounding errors into account.
 	\param other Vector to compare with.
-	\param tolerance Epsilon value for both - comparing X and Y.
 	\return True if the two vector are (almost) equal, else false. */
-	bool equals(const vector2d<T>& other, const T tolerance = (T)ROUNDING_ERROR_f32 ) const
+	bool equals(const vector2d<T>& other) const
 	{
-		return core::equals(X, other.X, tolerance) && core::equals(Y, other.Y, tolerance);
+		return core::equals(X, other.X) && core::equals(Y, other.Y);
 	}
 
 	vector2d<T>& set(T nx, T ny) {X=nx; Y=ny; return *this; }
diff --git a/include/vector3d.h b/include/vector3d.h
index b89bfbcb..7c6b98a4 100644
--- a/include/vector3d.h
+++ b/include/vector3d.h
@@ -114,11 +114,9 @@ namespace core
 		// functions
 
 		//! returns if this vector equals the other one, taking floating point rounding errors into account
-		bool equals(const vector3d<T>& other, const T tolerance = (T)ROUNDING_ERROR_f32 ) const
+		bool equals(const vector3d<T>& other) const
 		{
-			return core::equals(X, other.X, tolerance) &&
-				core::equals(Y, other.Y, tolerance) &&
-				core::equals(Z, other.Z, tolerance);
+			return core::equals(X, other.X) && core::equals(Y, other.Y) && core::equals(Z, other.Z);
 		}
 
 		vector3d<T>& set(const T nx, const T ny, const T nz) {X=nx; Y=ny; Z=nz; return *this;}