Added magnetic flux

src/include/units/physical/dimensions.h

@@ -113,6 +113,9 @@ struct dim_pressure : derived_dimension<Child, U, exp<F, 1>, exp<A, -1>> {};
 template <typename Child, Unit U, DimensionOf<dim_voltage> V, DimensionOf<dim_time> T, DimensionOf<dim_length> L>
 struct dim_magnetic_induction : derived_dimension<Child, U, exp<V, 1>, exp<T, 1>, exp<L, -2>> {};
 
+template<typename Child, Unit U, DimensionOf<dim_magnetic_induction> B, DimensionOf<dim_area> A>
+struct dim_magnetic_flux : derived_dimension<Child, U, exp<B, 1>, exp<A, 1>> {};
+
 }  // namespace physical
 
 template<typename T>
@@ -181,4 +184,7 @@ concept Pressure = physical::QuantityOf<T, physical::dim_pressure>;
 template<typename T>
 concept MagneticInduction = physical::QuantityOf<T, physical::dim_magnetic_induction>;
 
+template <typename T>
+concept MagneticFlux = physical::QuantityOf<T, physical::dim_magnetic_flux>;
+
 }  // namespace units

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

@@ -0,0 +1,68 @@
+// 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/magnetic_induction.h>
+#include <units/physical/si/area.h>
+#include <units/quantity.h>
+
+namespace units::si {
+
+struct weber : named_unit<weber, "Wb", prefix> {};
+
+struct milliweber : prefixed_unit<milliweber, milli, weber> {};
+struct microweber : prefixed_unit<microweber, micro, weber> {};
+struct nanoweber : prefixed_unit<nanoweber, nano, weber> {};
+struct picoweber : prefixed_unit<picoweber, pico, weber> {};
+
+struct dim_magnetic_flux : physical::dim_magnetic_flux<dim_magnetic_flux, weber, dim_magnetic_induction, dim_area> {};
+
+template<Unit U, Scalar Rep = double>
+using magnetic_flux = quantity<dim_magnetic_flux, U, Rep>;
+
+inline namespace literals {
+
+// Wb
+constexpr auto operator"" q_Wb(unsigned long long l) { return magnetic_flux<weber, std::int64_t>(l); }
+constexpr auto operator"" q_Wb(long double l) { return magnetic_flux<weber, long double>(l); }
+
+// mWb
+constexpr auto operator"" q_mWb(unsigned long long l) { return magnetic_flux<milliweber, std::int64_t>(l); }
+constexpr auto operator"" q_mWb(long double l) { return magnetic_flux<milliweber, long double>(l); }
+
+// µWb
+constexpr auto operator"" q_uWb(unsigned long long l) { return magnetic_flux<microweber, std::int64_t>(l); }
+constexpr auto operator"" q_uWb(long double l) { return magnetic_flux<microweber, long double>(l); }
+
+// nWb
+constexpr auto operator"" q_nWb(unsigned long long l) { return magnetic_flux<nanoweber, std::int64_t>(l); }
+constexpr auto operator"" q_nWb(long double l) { return magnetic_flux<nanoweber, long double>(l); }
+
+// pWb
+constexpr auto operator"" q_pWb(unsigned long long l) { return magnetic_flux<picoweber, std::int64_t>(l); }
+constexpr auto operator"" q_pWb(long double l) { return magnetic_flux<picoweber, long double>(l); }
+
+}  // namespace literals
+
+}  // namespace units::si

test/unit_test/runtime/fmt_units_test.cpp

@@ -40,6 +40,7 @@
 #include "units/physical/si/resistance.h"
 #include "units/physical/si/voltage.h"
 #include "units/physical/si/magnetic_induction.h"
+#include "units/physical/si/magnetic_flux.h"
 #include "units/format.h"
 #include <catch2/catch.hpp>
 
@@ -208,6 +209,11 @@ TEST_CASE("fmt::format on synthesized unit symbols", "[text][fmt]")
     CHECK(fmt::format("{}", 1q_T) == "1 T");
   }
 
+  SECTION("magnetic flux")
+  {
+    CHECK(fmt::format("{}", 1q_Wb) == "1 Wb");
+  }
+
   SECTION("addition with common ratio")
   {
     CHECK(fmt::format("{}", 1q_in + 1q_yd) == "37 in");

test/unit_test/static/si_test.cpp

@@ -41,6 +41,7 @@
 #include <units/physical/si/voltage.h>
 #include <units/physical/si/volume.h>
 #include <units/physical/si/magnetic_induction.h>
+#include <units/physical/si/magnetic_flux.h>
 #include <utility>
 
 namespace {
@@ -199,6 +200,18 @@ static_assert(10q_N / (1q_A * 1q_m) == 10q_T);
 static_assert(millitesla::symbol == "mT");
 static_assert(microtesla::symbol == basic_symbol_text("µT", "uT"));
 static_assert(nanotesla::symbol == "nT");
+static_assert(picotesla::symbol == "pT");
+
+// magnetic flux
+
+static_assert(1q_Wb == 1q_T * 1q_m2);
+static_assert(1q_J == 1q_Wb * 1q_A);
+static_assert(1q_N * 1q_s == 1q_Wb * 1q_C / 1q_m);
+
+static_assert(milliweber::symbol == "mWb");
+static_assert(microweber::symbol == basic_symbol_text("µWb", "uWb"));
+static_assert(nanoweber::symbol == "nWb");
+static_assert(picoweber::symbol == "pWb");
 
 /* ************** DERIVED DIMENSIONS IN TERMS OF BASE UNITS **************** */