diff --git a/complex.hh b/complex.hh
index ae090cc..16470e0 100644
--- a/complex.hh
+++ b/complex.hh
@@ -102,15 +102,15 @@ static constexpr Complex<T> operator / (Complex<T> a, Complex<T> b)
 }
 
 template <typename T>
-static constexpr Complex<T> exp(Complex<T> a)
+static constexpr T norm(Complex<T> a)
 {
-	return Complex<T>(exp(a.real()) * cos(a.imag()), exp(a.real()) * sin(a.imag()));
+	return a.real() * a.real() + a.imag() * a.imag();
 }
 
 template <typename T>
 static constexpr T abs(Complex<T> a)
 {
-	return hypot(a.real(), a.imag());
+	return sqrt(norm(a));
 }
 
 template <typename T>
@@ -119,10 +119,4 @@ static constexpr T arg(Complex<T> a)
 	return atan2(a.imag(), a.real());
 }
 
-template <typename T>
-static constexpr T norm(Complex<T> a)
-{
-	return a.real() * a.real() + a.imag() * a.imag();
-}
-
 #endif