Experimental branch using angle as a dimension.

Added dim_angle, Angle concept etc.
Not really for merging, but fun to play with.(The main problem is that it doesnt conform to SI)
See https://github.com/mpusz/units/issues/99
Could try adding degrees etc in same way as non-si units

example/CMakeLists.txt

@@ -35,6 +35,7 @@ add_example(capacitor_time_curve)
 add_example(clcpp_response)
 add_example(conversion_factor)
 add_example(kalman_filter-alpha_beta_filter_example2)
+add_example(experimental_angle)
 
 conan_check_testing(linear_algebra)
 add_example(linear_algebra)

example/experimental_angle.cpp

@@ -0,0 +1,22 @@
+
+
+
+#include <units/physical/si/length.h>
+#include <units/physical/si/torque.h>
+#include <units/physical/si/energy.h>
+#include <units/format.h>
+#include <iostream>
+
+using namespace units;
+using namespace units::physical::si::literals;
+
+int main()
+{
+   auto torque = 20.0q_Nm;
+   auto energy = 20.0q_J;
+
+   physical::Angle angle = torque/energy;
+
+   std::cout << angle <<'\n';
+}
+

src/include/units/physical/dimensions.h

@@ -58,6 +58,9 @@ struct dim_substance : base_dimension<"N", U> {};
 template<Unit U>
 struct dim_luminous_intensity : base_dimension<"J", U> {};
 
+template<Unit U>
+struct dim_angle : base_dimension<"A", U> {};
+
 // ------------------------ derived dimensions -----------------------------
 
 template<typename Child, Unit U, DimensionOf<dim_time> T>
@@ -84,6 +87,9 @@ struct dim_momentum : derived_dimension<Child, U, exp<M, 1>, exp<V, 1>> {};
 template<typename Child, Unit U, DimensionOf<dim_force> F, DimensionOf<dim_length> L>
 struct dim_energy : derived_dimension<Child, U, exp<F, 1>, exp<L, 1>> {};
 
+template<typename Child, Unit U, DimensionOf<dim_energy> E, DimensionOf<dim_angle> A>
+struct dim_torque : derived_dimension<Child, U, exp<E, 1>, exp<A, 1>> {};
+
 template<typename Child, Unit U, DimensionOf<dim_mass> M, DimensionOf<dim_length> L>
 struct dim_density : derived_dimension<Child, U, exp<M, 1>, exp<L, -3>> {};
 
@@ -197,6 +203,9 @@ concept Substance = QuantityOf<T, dim_substance>;
 template<typename T>
 concept LuminousIntensity = QuantityOf<T, dim_luminous_intensity>;
 
+template <typename T>
+concept Angle = QuantityOf<T, dim_angle>;
+
 template<typename T>
 concept Frequency = QuantityOf<T, dim_frequency>;
 
@@ -221,6 +230,9 @@ concept Momentum = QuantityOf<T, dim_momentum>;
 template<typename T>
 concept Energy = QuantityOf<T, dim_energy>;
 
+template<typename T>
+concept Torque = QuantityOf<T, dim_torque>;
+
 template<typename T>
 concept Density = QuantityOf<T, dim_density>;
 

src/include/units/physical/si/angle.h

@@ -0,0 +1,47 @@
+// The MIT License (MIT)
+//
+// Copyright (c) 2018 Mateusz Pusz
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+#pragma once
+
+#include <units/physical/dimensions.h>
+#include <units/physical/si/prefixes.h>
+#include <units/quantity.h>
+
+namespace units::physical::si {
+
+struct radian : named_unit<radian, "rad", prefix> {};
+
+struct dim_angle : physical::dim_angle<radian> {};
+
+template<Unit U, Scalar Rep = double>
+using angle = quantity<dim_angle, U, Rep>;
+
+inline namespace literals {
+
+// rad
+constexpr auto operator"" q_rad(unsigned long long l) { return length<metre, std::int64_t>(l); }
+constexpr auto operator"" q_rad(long double l) { return length<metre, long double>(l); }
+
+
+}  // namespace literals
+
+}  // namespace units::physical::si

src/include/units/physical/si/torque.h

@@ -0,0 +1,48 @@
+// The MIT License (MIT)
+//
+// Copyright (c) 2018 Mateusz Pusz
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in all
+// copies or substantial portions of the Software.
+//
+// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+// SOFTWARE.
+
+#pragma once
+
+#include <units/physical/dimensions.h>
+#include <units/physical/si/energy.h>
+#include <units/physical/si/angle.h>
+#include <units/physical/si/prefixes.h>
+#include <units/quantity.h>
+
+namespace units::physical::si {
+
+struct newton_metre : named_unit<newton_metre, "Nm", prefix> {};
+
+struct dim_torque : physical::dim_torque<dim_torque, newton_metre, dim_energy, dim_angle> {};
+
+template<Unit U, Scalar Rep = double>
+using torque = quantity<dim_torque, U, Rep>;
+
+inline namespace literals {
+
+// Nm
+constexpr auto operator"" q_Nm(unsigned long long l) { return torque<newton_metre, std::int64_t>(l); }
+constexpr auto operator"" q_Nm(long double l) { return torque<newton_metre, long double>(l); }
+
+}  // namespace literals
+
+}  // namespace units::physical::si