refactor: reference now takes NTTPs rather then types

Even though it makes error logs a bit more obscure it simplifies coding a lot.

example/v2_framework.cpp

@@ -78,16 +78,16 @@ static_assert(10 * isq::length[m] / (2 * isq::time[s]) - 5 * isq::speed[m / s] =
 static_assert(5 * isq::speed[m / s] - 10 * isq::length[m] / (2 * isq::time[s]) == 0 * isq::speed[m / s]);
 static_assert(
   is_same_v<decltype(10 * isq::length[m] / (2 * isq::time[s]) + 5 * isq::speed[m / s]),
-            quantity<reference<struct isq::speed, derived_unit<struct si::metre, per<struct si::second>>>{}, int>>);
+            quantity<reference<isq::speed, derived_unit<struct si::metre, per<struct si::second>>{}>{}, int>>);
 static_assert(
   is_same_v<decltype(5 * isq::speed[m / s] + 10 * isq::length[m] / (2 * isq::time[s])),
-            quantity<reference<struct isq::speed, derived_unit<struct si::metre, per<struct si::second>>>{}, int>>);
+            quantity<reference<isq::speed, derived_unit<struct si::metre, per<struct si::second>>{}>{}, int>>);
 static_assert(
   is_same_v<decltype(10 * isq::length[m] / (2 * isq::time[s]) - 5 * isq::speed[m / s]),
-            quantity<reference<struct isq::speed, derived_unit<struct si::metre, per<struct si::second>>>{}, int>>);
+            quantity<reference<isq::speed, derived_unit<struct si::metre, per<struct si::second>>{}>{}, int>>);
 static_assert(
   is_same_v<decltype(5 * isq::speed[m / s] - 10 * isq::length[m] / (2 * isq::time[s])),
-            quantity<reference<struct isq::speed, derived_unit<struct si::metre, per<struct si::second>>>{}, int>>);
+            quantity<reference<isq::speed, derived_unit<struct si::metre, per<struct si::second>>{}>{}, int>>);
 
 // Named and derived dimensions (different units)
 static_assert(10 / (2 * isq::time[s]) + 5 * isq::frequency[Hz] == 10 * isq::frequency[Hz]);
@@ -95,13 +95,13 @@ static_assert(5 * isq::frequency[Hz] + 10 / (2 * isq::time[s]) == 10 * isq::freq
 static_assert(10 / (2 * isq::time[s]) - 5 * isq::frequency[Hz] == 0 * isq::frequency[Hz]);
 static_assert(5 * isq::frequency[Hz] - 10 / (2 * isq::time[s]) == 0 * isq::frequency[Hz]);
 static_assert(is_same_v<decltype(10 / (2 * isq::time[s]) + 5 * isq::frequency[Hz]),
-                        quantity<reference<struct isq::frequency, struct si::hertz>{}, int>>);
+                        quantity<reference<isq::frequency, si::hertz>{}, int>>);
 static_assert(is_same_v<decltype(5 * isq::frequency[Hz] + 10 / (2 * isq::time[s])),
-                        quantity<reference<struct isq::frequency, struct si::hertz>{}, int>>);
+                        quantity<reference<isq::frequency, si::hertz>{}, int>>);
 static_assert(is_same_v<decltype(10 / (2 * isq::time[s]) - 5 * isq::frequency[Hz]),
-                        quantity<reference<struct isq::frequency, struct si::hertz>{}, int>>);
+                        quantity<reference<isq::frequency, si::hertz>{}, int>>);
 static_assert(is_same_v<decltype(5 * isq::frequency[Hz] - 10 / (2 * isq::time[s])),
-                        quantity<reference<struct isq::frequency, struct si::hertz>{}, int>>);
+                        quantity<reference<isq::frequency, si::hertz>{}, int>>);
 
 // Different named dimensions
 template<typename... Ts>
@@ -118,8 +118,8 @@ constexpr quantity<isq::speed[km / h]> speed = 120 * isq::length[km] / (2 * isq:
 // Explicit casts allow changing all or only a part of the type
 static_assert(
   std::is_same_v<decltype(quantity_cast<isq::speed>(120 * isq::length[km] / (2 * isq::time[h]))),
-                 quantity<reference<struct isq::speed, derived_unit<std::remove_const_t<decltype(si::kilo<si::metre>)>,
+                 quantity<reference<isq::speed, derived_unit<std::remove_const_t<decltype(si::kilo<si::metre>)>,
-                                                                    per<struct si::hour>>>{},
+                                                             per<struct si::hour>>{}>{},
                           int>>);
 auto q3 = quantity_cast<m / s>(120 * isq::length[km] / (2 * isq::time[h]));
 auto q4 = quantity_cast<isq::speed[m / s]>(120 * isq::length[km] / (2 * isq::time[h]));

src/core/include/units/concepts.h

@@ -32,16 +32,26 @@
 
 namespace units {
 
-template<Dimension D, Unit U>
+template<Dimension auto D, Unit auto U>
 struct reference;
 
+namespace detail {
+
+template<typename T>
+inline constexpr bool is_specialization_of_reference = false;
+
+template<Dimension auto D, Unit auto U>
+inline constexpr bool is_specialization_of_reference<reference<D, U>> = true;
+
+}  // namespace detail
+
 /**
  * @brief A concept matching all references in the library.
  *
  * Satisfied by all specializations of @c reference.
  */
 template<typename T>
-concept Reference = is_specialization_of<T, reference>;
+concept Reference = detail::is_specialization_of_reference<T>;
 
 namespace detail {
 

src/core/include/units/customization_points.h

@@ -91,7 +91,7 @@ struct quantity_values {
 /**
  * @brief Provides support for external quantity-like types
  *
- * The type trait should provide the following nested type aliases: @c dimension, @c unit, @c rep,
+ * The type trait should provide the following nested values @c dimension, @c unit and type alias @c rep,
  * and a static member function @c number(T) that will return the raw value of the quantity.
  *
  * Usage example can be found in @c units/chrono.h header file.

src/core/include/units/dimension.h

@@ -63,7 +63,7 @@ inline constexpr bool is_valid_unit_for_dimension = false;
 template<typename U, typename Dim>
 concept valid_unit_for_dimension = Unit<U> && Dimension<Dim> && detail::is_valid_unit_for_dimension<U{}, Dim{}>;
 
-template<Dimension D, Unit U>
+template<Dimension auto D, Unit auto U>
 struct reference;
 
 /**
@@ -104,13 +104,13 @@ struct base_dimension {
 
 #ifdef __cpp_explicit_this_parameter
   template<typename Self, valid_unit_for_dimension<Self> U>
-  [[nodiscard]] constexpr reference<Self, U> operator[](this const Self, U)
+  [[nodiscard]] constexpr auto operator[](this const Self, U)
 #else
   template<valid_unit_for_dimension<Self> U>
-  [[nodiscard]] constexpr reference<Self, U> operator[](U) const
+  [[nodiscard]] constexpr auto operator[](U) const
 #endif
   {
-    return {};
+    return reference<Self{}, U{}>{};
   }
 };
 
@@ -213,9 +213,9 @@ template<DerivedDimensionSpec... Ds>
 struct derived_dimension : detail::derived_dimension_impl<Ds...> {
   template<typename Self, Unit U>
     requires valid_unit_for_dimension<U, Self> || (sizeof...(Ds) == 0 && convertible(U{}, one))
-  [[nodiscard]] constexpr reference<Self, U> operator[](this const Self, U)
+  [[nodiscard]] constexpr auto operator[](this const Self, U)
   {
-    return {};
+    return reference<Self{}, U{}>{};
   }
 };
 
@@ -228,9 +228,9 @@ template<DerivedDimensionSpec... Ds>
 struct derived_dimension<Ds...> : detail::derived_dimension_impl<Ds...> {
   template<Unit U>
     requires valid_unit_for_dimension<U, derived_dimension> || (sizeof...(Ds) == 0 && convertible(U{}, one))
-  [[nodiscard]] constexpr reference<derived_dimension, U> operator[](U) const
+  [[nodiscard]] constexpr auto operator[](U) const
   {
-    return {};
+    return reference<derived_dimension{}, U{}>{};
   }
 };
 
@@ -239,9 +239,9 @@ struct derived_dimension<Self, D> : D {
   template<Unit U>
     requires valid_unit_for_dimension<U, Self> ||
              (convertible(derived_dimension{}, derived_dimension<>{}) && convertible(U{}, one))
-  [[nodiscard]] constexpr reference<Self, U> operator[](U) const
+  [[nodiscard]] constexpr auto operator[](U) const
   {
-    return {};
+    return reference<Self{}, U{}>{};
   }
 };
 

src/core/include/units/quantity.h

@@ -85,11 +85,11 @@ concept have_quantity_for_ = Quantity<Q> && (!Quantity<V>) && quantity_value_for
 
 template<typename T>
 concept QuantityLike = requires(T q) {
-                         typename quantity_like_traits<T>::dimension;
+                         quantity_like_traits<T>::dimension;
-                         typename quantity_like_traits<T>::unit;
+                         quantity_like_traits<T>::unit;
                          typename quantity_like_traits<T>::rep;
-                         requires Dimension<typename quantity_like_traits<T>::dimension>;
+                         requires Dimension<std::remove_const_t<decltype(quantity_like_traits<T>::dimension)>>;
-                         requires Unit<typename quantity_like_traits<T>::unit>;
+                         requires Unit<std::remove_const_t<decltype(quantity_like_traits<T>::unit)>>;
                          requires Representation<typename quantity_like_traits<T>::rep>;
                          {
                            quantity_like_traits<T>::number(q)
@@ -97,9 +97,8 @@ concept QuantityLike = requires(T q) {
                        };
 
 template<QuantityLike Q>
-using quantity_like_type =
+using quantity_like_type = quantity<reference<quantity_like_traits<Q>::dimension, quantity_like_traits<Q>::unit>{},
-  quantity<reference<typename quantity_like_traits<Q>::dimension, typename quantity_like_traits<Q>::unit>{},
+                                    typename quantity_like_traits<Q>::rep>;
-           typename quantity_like_traits<Q>::rep>;
 
 /**
  * @brief A quantity
@@ -352,42 +351,42 @@ public:
   [[nodiscard]] friend constexpr Quantity auto operator+(const quantity& lhs, const Value& rhs)
     requires requires {  // TODO: Simplify when Clang catches up.
                requires !Quantity<Value>;
-               requires is_same_v<unit, units::one>;
+               requires unit == ::units::one;
                requires invoke_result_convertible_to_<rep, std::plus<>, rep, Value>;
              }
   {
-    return units::quantity(lhs.number() + rhs);
+    return ::units::quantity(lhs.number() + rhs);
   }
   template<typename Value>
   [[nodiscard]] friend constexpr Quantity auto operator+(const Value& lhs, const quantity& rhs)
     requires requires {  // TODO: Simplify when Clang catches up.
                requires !Quantity<Value>;
-               requires is_same_v<unit, units::one>;
+               requires unit == ::units::one;
                requires invoke_result_convertible_to_<rep, std::plus<>, Value, rep>;
              }
   {
-    return units::quantity(lhs + rhs.number());
+    return ::units::quantity(lhs + rhs.number());
   }
 
   template<typename Value>
   [[nodiscard]] friend constexpr Quantity auto operator-(const quantity& lhs, const Value& rhs)
     requires requires {  // TODO: Simplify when Clang catches up.
                requires !Quantity<Value>;
-               requires is_same_v<unit, units::one>;
+               requires unit == ::units::one;
                requires invoke_result_convertible_to_<rep, std::minus<>, rep, Value>;
              }
   {
-    return units::quantity(lhs.number() - rhs);
+    return ::units::quantity(lhs.number() - rhs);
   }
   template<typename Value>
   [[nodiscard]] friend constexpr Quantity auto operator-(const Value& lhs, const quantity& rhs)
     requires requires {  // TODO: Simplify when Clang catches up.
                requires !Quantity<Value>;
-               requires is_same_v<unit, units::one>;
+               requires unit == ::units::one;
                requires invoke_result_convertible_to_<rep, std::minus<>, Value, rep>;
              }
   {
-    return units::quantity(lhs - rhs.number());
+    return ::units::quantity(lhs - rhs.number());
   }
 
   template<Representation Value>
@@ -466,13 +465,13 @@ template<Representation Rep>
 explicit(false) quantity(Rep)->quantity<dimension_one[one], Rep>;
 
 template<QuantityLike Q>
-explicit quantity(Q)
+explicit quantity(Q) -> quantity<reference<quantity_like_traits<Q>::dimension, quantity_like_traits<Q>::unit>{},
-  -> quantity<reference<typename quantity_like_traits<Q>::dimension, typename quantity_like_traits<Q>::unit>{},
+                                 typename quantity_like_traits<Q>::rep>;
-              typename quantity_like_traits<Q>::rep>;
 
 // non-member binary operators
-template<Quantity Q1, std::convertible_to<Q1> Q2>
+template<Quantity Q1, Quantity Q2>
-  requires(quantity_value_for_<std::plus<>, typename Q1::rep, typename Q2::rep>)
+  requires(convertible(Q1::reference, Q2::reference)) &&
+          quantity_value_for_<std::plus<>, typename Q1::rep, typename Q2::rep>
 [[nodiscard]] constexpr Quantity auto operator+(const Q1& lhs, const Q2& rhs)
 {
   using ref = std::common_type_t<decltype(Q1::reference), decltype(Q2::reference)>;
@@ -480,8 +479,9 @@ template<Quantity Q1, std::convertible_to<Q1> Q2>
   return ret(ret(lhs).number() + ret(rhs).number());
 }
 
-template<Quantity Q1, std::convertible_to<Q1> Q2>
+template<Quantity Q1, Quantity Q2>
-  requires(quantity_value_for_<std::minus<>, typename Q1::rep, typename Q2::rep>)
+  requires(convertible(Q1::reference, Q2::reference)) &&
+          quantity_value_for_<std::minus<>, typename Q1::rep, typename Q2::rep>
 [[nodiscard]] constexpr Quantity auto operator-(const Q1& lhs, const Q2& rhs)
 {
   using ref = std::common_type_t<decltype(Q1::reference), decltype(Q2::reference)>;
@@ -506,26 +506,28 @@ template<Quantity Q1, Quantity Q2>
 
 template<Quantity Q1, Quantity Q2>
   requires(!floating_point_<typename Q1::rep>) && (!floating_point_<typename Q2::rep>) &&
-          (std::convertible_to<Q2, Q1> || quantity_of<Q2, dimension_one>) &&
+          (convertible(Q1::reference, Q2::reference) || quantity_of<Q2, dimension_one>) &&
-          (quantity_value_for_<std::modulus<>, typename Q1::rep, typename Q2::rep>)
+          quantity_value_for_<std::modulus<>, typename Q1::rep, typename Q2::rep>
 [[nodiscard]] constexpr Quantity auto operator%(const Q1& lhs, const Q2& rhs)
 {
   gsl_ExpectsAudit(rhs.number() != quantity_values<typename Q2::rep>::zero());
-  using ret = quantity<reference<typename Q1::dimension, typename Q1::unit>{},
+  using ret = quantity<reference<Q1::dimension, Q1::unit>{},
                        std::invoke_result_t<std::modulus<>, typename Q1::rep, typename Q2::rep>>;
   return ret(lhs.number() % rhs.number());
 }
 
-template<Quantity Q1, std::convertible_to<Q1> Q2>
+template<Quantity Q1, Quantity Q2>
-  requires std::three_way_comparable_with<typename Q1::rep, typename Q2::rep>
+  requires(convertible(Q1::reference, Q2::reference)) &&
+          std::three_way_comparable_with<typename Q1::rep, typename Q2::rep>
 [[nodiscard]] constexpr auto operator<=>(const Q1& lhs, const Q2& rhs)
 {
   using ref = std::common_type_t<decltype(Q1::reference), decltype(Q2::reference)>;
-  return quantity_cast<ref>(lhs).number() <=> quantity_cast<ref>(rhs).number();
+  return quantity_cast<ref{}>(lhs).number() <=> quantity_cast<ref{}>(rhs).number();
 }
 
-template<Quantity Q1, std::convertible_to<Q1> Q2>
+template<Quantity Q1, Quantity Q2>
-  requires std::equality_comparable_with<typename Q1::rep, typename Q2::rep>
+  requires(convertible(Q1::reference, Q2::reference)) &&
+          std::equality_comparable_with<typename Q1::rep, typename Q2::rep>
 [[nodiscard]] constexpr bool operator==(const Q1& lhs, const Q2& rhs)
 {
   using ref = std::common_type_t<decltype(Q1::reference), decltype(Q2::reference)>;

src/core/include/units/quantity_cast.h

@@ -145,7 +145,7 @@ template<Dimension auto ToD, auto R, typename Rep>
   requires(convertible(ToD, R.dimension))
 [[nodiscard]] constexpr auto quantity_cast(const quantity<R, Rep>& q)
 {
-  constexpr reference<std::remove_const_t<decltype(ToD)>, typename quantity<R, Rep>::unit_t> r;
+  constexpr reference<ToD, quantity<R, Rep>::unit> r;
   return quantity_cast<quantity<r, Rep>>(q);
 }
 
@@ -165,7 +165,7 @@ template<Unit auto ToU, auto R, typename Rep>
   requires(convertible(ToU, R.unit))
 [[nodiscard]] constexpr auto quantity_cast(const quantity<R, Rep>& q)
 {
-  constexpr reference<typename quantity<R, Rep>::dimension_t, std::remove_const_t<decltype(ToU)>> r;
+  constexpr reference<quantity<R, Rep>::dimension, ToU> r;
   return quantity_cast<quantity<r, Rep>>(q);
 }
 

src/core/include/units/reference.h

@@ -67,31 +67,28 @@ namespace units {
  * The following syntaxes are not allowed:
  * `2 / s`, `km * 3`, `s / 4`, `70 * km / h`.
  */
-template<Dimension D, Unit U>
+template<Dimension auto D, Unit auto U>
 struct reference {
-  static constexpr D dimension{};
+  static constexpr auto dimension = D;
-  static constexpr U unit{};
+  static constexpr auto unit = U;
-  // static constexpr UNITS_MSVC_WORKAROUND(Magnitude) auto mag = dimension::mag * unit::mag;
 };
 
 // Reference
 
 template<Magnitude M, Reference R>
-[[nodiscard]] consteval reference<decltype(R::dimension), decltype(M{} * R::unit)> operator*(M, R)
+[[nodiscard]] consteval reference<R::dimension, M{} * R::unit> operator*(M, R)
 {
   return {};
 }
 
 template<Reference R1, Reference R2>
-[[nodiscard]] consteval reference<decltype(R1::dimension * R2::dimension), decltype(R1::unit * R2::unit)> operator*(R1,
+[[nodiscard]] consteval reference<R1::dimension * R2::dimension, R1::unit * R2::unit> operator*(R1, R2)
-                                                                                                                    R2)
 {
   return {};
 }
 
 template<Reference R1, Reference R2>
-[[nodiscard]] consteval reference<decltype(R1::dimension / R2::dimension), decltype(R1::unit / R2::unit)> operator/(R1,
+[[nodiscard]] consteval reference<R1::dimension / R2::dimension, R1::unit / R2::unit> operator/(R1, R2)
-                                                                                                                    R2)
 {
   return {};
 }
@@ -119,7 +116,7 @@ struct system_reference {
 
   template<Unit U>
     requires(convertible(coherent_unit, U{}))
-  [[nodiscard]] constexpr reference<std::remove_const_t<decltype(dimension)>, U> operator[](U) const
+  [[nodiscard]] constexpr reference<dimension, U{}> operator[](U) const
   {
     return {};
   }
@@ -139,7 +136,7 @@ private:
   using dim = common_type_t<remove_const_t<decltype(R1::dimension)>, remove_const_t<decltype(R2::dimension)>>;
   using unit = common_type_t<remove_const_t<decltype(R1::unit)>, remove_const_t<decltype(R2::unit)>>;
 public:
-  using type = units::reference<dim, unit>;
+  using type = units::reference<dim{}, unit{}>;
 };
 
 }  // namespace std

test/unit_test/static/reference_test.cpp

@@ -91,24 +91,25 @@ inline constexpr struct kilometre_ : decltype(si::kilo<metre>) {} kilometre;
 // clang-format on
 
 // Named quantity/dimension and unit
-static_assert(is_same_v<decltype(5 * power[watt]), quantity<reference<power_, watt_>{}, int>>);
+static_assert(is_same_v<decltype(5 * power[watt]), quantity<reference<power, watt>{}, int>>);
 
 // Named quantity/dimension and derived (unnamed) unit
 static_assert(is_same_v<decltype(5 * speed[metre / second]),
-                        quantity<reference<speed_, derived_unit<metre_, per<second_>>>{}, int>>);
+                        quantity<reference<speed, derived_unit<metre_, per<second_>>{}>{}, int>>);
 
 // Derived (unnamed) quantity/dimension and derived (unnamed) unit
 static_assert(
-  is_same_v<decltype(10 * length[metre] / (2 * time[second])),
+  is_same_v<
-            quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<metre_, per<second_>>>{}, int>>);
+    decltype(10 * length[metre] / (2 * time[second])),
+    quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<metre_, per<second_>>{}>{}, int>>);
 
 // Base quantity as a result of dimensional transformation
 static_assert(
-  is_same_v<decltype(5 * speed[metre / second] * (5 * time[second])), quantity<reference<length_, metre_>{}, int>>);
+  is_same_v<decltype(5 * speed[metre / second] * (5 * time[second])), quantity<reference<length, metre>{}, int>>);
 
 // dimension_one
 static_assert(is_same_v<decltype(20 * speed[metre / second] / (10 * length[metre]) * (5 * time[second])),
-                        quantity<reference<dimension_one_, one_>{}, int>>);
+                        quantity<reference<dimension_one, one>{}, int>>);
 
 template<auto s>
 concept invalid_operations = requires {
@@ -139,53 +140,58 @@ concept invalid_operations = requires {
 static_assert(invalid_operations<time[second]>);
 
 static_assert(
-  is_same_v<decltype(2 * length[metre] / (1 * time[second])),
+  is_same_v<
-            quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<metre_, per<second_>>>{}, int>>);
+    decltype(2 * length[metre] / (1 * time[second])),
+    quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<metre_, per<second_>>{}>{}, int>>);
 static_assert(
-  is_same_v<decltype(2 * (length[metre] / time[second])),
+  is_same_v<
-            quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<metre_, per<second_>>>{}, int>>);
+    decltype(2 * (length[metre] / time[second])),
+    quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<metre_, per<second_>>{}>{}, int>>);
 static_assert(is_same_v<decltype(2 * (speed[metre / second])),
-                        quantity<reference<speed_, derived_unit<metre_, per<second_>>>{}, int>>);
+                        quantity<reference<speed, derived_unit<metre_, per<second_>>{}>{}, int>>);
 
 constexpr auto m_per_s = speed[metre / second];
-static_assert(is_same_v<decltype(2 * m_per_s), quantity<reference<speed_, derived_unit<metre_, per<second_>>>{}, int>>);
+static_assert(
+  is_same_v<decltype(2 * m_per_s), quantity<reference<speed, derived_unit<metre_, per<second_>>{}>{}, int>>);
 
 static_assert(
-  is_same_v<decltype(120 * length[kilometre] / (2 * time[hour])),
+  is_same_v<
-            quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<kilometre_, per<hour_>>>{}, int>>);
+    decltype(120 * length[kilometre] / (2 * time[hour])),
+    quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<kilometre_, per<hour_>>{}>{}, int>>);
 static_assert(120 * length[kilometre] / (2 * time[hour]) == 60 * speed[kilometre / hour]);
-static_assert(
-  is_same_v<decltype([] {
-              const auto distance = 120;
-              const auto duration = 2;
-              return distance * length[kilometre] / (duration * time[hour]);
-            }()),
-            quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<kilometre_, per<hour_>>>{}, int>>);
 static_assert(
   is_same_v<
-    decltype(std::int64_t{120} * length[kilometre] / (2 * time[hour])),
+    decltype([] {
-    quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<kilometre_, per<hour_>>>{}, std::int64_t>>);
+      const auto distance = 120;
+      const auto duration = 2;
+      return distance * length[kilometre] / (duration * time[hour]);
+    }()),
+    quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<kilometre_, per<hour_>>{}>{}, int>>);
 static_assert(
-  is_same_v<
+  is_same_v<decltype(std::int64_t{120} * length[kilometre] / (2 * time[hour])),
-    decltype(120.L * length[kilometre] / (2 * time[hour])),
+            quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<kilometre_, per<hour_>>{}>{},
-    quantity<reference<derived_dimension<length_, per<time_>>, derived_unit<kilometre_, per<hour_>>>{}, long double>>);
+                     std::int64_t>>);
+static_assert(
+  is_same_v<decltype(120.L * length[kilometre] / (2 * time[hour])),
+            quantity<reference<derived_dimension<length_, per<time_>>{}, derived_unit<kilometre_, per<hour_>>{}>{},
+                     long double>>);
 
 static_assert(is_same_v<decltype(1. / 4 * area[square<metre>]), decltype(1. * area[square<metre>] / 4)>);
 static_assert(1. / 4 * area[square<metre>] == 1. * area[square<metre>] / 4);
 
 // Natural Units
-static_assert(is_same_v<decltype(42 * nu::time[nu::second]), quantity<reference<time_, nu::second_>{}, int>>);
+static_assert(is_same_v<decltype(42 * nu::time[nu::second]), quantity<reference<time, nu::second>{}, int>>);
-static_assert(is_same_v<decltype(42 * nu::time[nu::minute]), quantity<reference<time_, nu::minute_>{}, int>>);
+static_assert(is_same_v<decltype(42 * nu::time[nu::minute]), quantity<reference<time, nu::minute>{}, int>>);
-static_assert(is_same_v<decltype(42 * nu::length[nu::second]), quantity<reference<length_, nu::second_>{}, int>>);
+static_assert(is_same_v<decltype(42 * nu::length[nu::second]), quantity<reference<length, nu::second>{}, int>>);
-static_assert(is_same_v<decltype(42 * nu::length[nu::minute]), quantity<reference<length_, nu::minute_>{}, int>>);
+static_assert(is_same_v<decltype(42 * nu::length[nu::minute]), quantity<reference<length, nu::minute>{}, int>>);
 static_assert(is_same_v<decltype(42 * (nu::length[nu::second] / nu::time[nu::second])),
-                        quantity<reference<derived_dimension<length_, per<time_>>, one_>{}, int>>);
+                        quantity<reference<derived_dimension<length_, per<time_>>{}, one>{}, int>>);
 static_assert(is_same_v<decltype(42 * nu::length[nu::second] / (42 * nu::time[nu::second])),
-                        quantity<reference<derived_dimension<length_, per<time_>>, one_>{}, int>>);
+                        quantity<reference<derived_dimension<length_, per<time_>>{}, one>{}, int>>);
-static_assert(is_same_v<decltype(42 * nu::speed[nu::second / nu::second]), quantity<reference<speed_, one_>{}, int>>);
+static_assert(is_same_v<decltype(42 * nu::speed[nu::second / nu::second]), quantity<reference<speed, one>{}, int>>);
-static_assert(is_same_v<decltype(42 * nu::speed[one]), quantity<reference<speed_, one_>{}, int>>);
+static_assert(is_same_v<decltype(42 * nu::speed[one]), quantity<reference<speed, one>{}, int>>);
 static_assert(is_same_v<decltype(42 * mass[kilogram] * (1 * nu::length[nu::second]) / (1 * nu::time[nu::second])),
-                        quantity<reference<derived_dimension<length_, mass_, per<time_>>, kilogram_>{}, int>>);
+                        quantity<reference<derived_dimension<length_, mass_, per<time_>>{}, kilogram>{}, int>>);
 
 template<auto dim, auto unit>
 concept invalid_nu_unit = !requires { dim[unit]; };