forked from mpusz/mp-units
refactor: derived_dimension can now store only powers of base dimensions
This commit is contained in:
Mateusz Pusz
+99
-75
@@ -27,22 +27,36 @@ namespace units::isq {
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inline constexpr struct dim_length : base_dimension<"L"> {
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} dim_length;
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inline constexpr struct dim_mass : base_dimension<"M"> {
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} dim_mass;
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inline constexpr struct dim_time : base_dimension<"T"> {
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} dim_time;
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inline constexpr struct dim_electric_current : base_dimension<"I"> {
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} dim_electric_current;
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// TODO Should the below use basic_symbol_text? How to name it for ASCII?
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inline constexpr struct dim_thermodynamic_temperature : base_dimension<"Θ"> {
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} dim_thermodynamic_temperature;
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inline constexpr struct dim_amount_of_substance : base_dimension<"N"> {
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} dim_amount_of_substance;
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inline constexpr struct dim_luminous_intensity : base_dimension<"J"> {
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} dim_luminous_intensity;
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// using dim_speed = decltype(dim_length / dim_time);
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// inline constexpr dim_speed dim_speed;
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// template<typename T>
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// concept Length = QuantityOf<T, dim_length>;
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inline constexpr struct dim_time : base_dimension<"T"> {
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} dim_time;
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inline constexpr struct dim_frequency : decltype(1 / dim_time) {
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} dim_frequency;
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inline constexpr struct dim_area : decltype(dim_length * dim_length) {
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} dim_area;
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inline constexpr struct dim_volume : decltype(dim_area * dim_length) {
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} dim_volume;
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inline constexpr struct dim_speed : decltype(dim_length / dim_time) {
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} dim_speed;
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inline constexpr struct dim_acceleration : decltype(dim_speed / dim_time) {
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} dim_acceleration;
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// inline constexpr struct dim_frequency : decltype(1 / dim_time) {
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// } dim_frequency;
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// inline constexpr struct dim_area : decltype(dim_length * dim_length) {
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// } dim_area;
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// inline constexpr struct dim_volume : decltype(dim_area * dim_length) {
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// } dim_volume;
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// inline constexpr struct dim_speed : decltype(dim_length / dim_time) {
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// } dim_speed;
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// inline constexpr struct dim_acceleration : decltype(dim_speed / dim_time) {
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// } dim_acceleration;
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// inline constexpr auto speed = length / time;
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@@ -198,15 +212,21 @@ inline constexpr struct length : system_reference<length, dim_length, metre> {
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} length;
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inline constexpr struct time : system_reference<time, dim_time, second> {
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} time;
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inline constexpr struct frequency : system_reference<frequency, dim_frequency, hertz> {
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// inline constexpr struct frequency : system_reference<frequency, dim_frequency, hertz> {
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inline constexpr struct frequency : system_reference<frequency, 1 / dim_time, hertz> {
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} frequency;
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inline constexpr struct area : system_reference<area, dim_area, square_metre> {
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// inline constexpr struct area : system_reference<area, dim_area, square_metre> {
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inline constexpr struct area : system_reference<area, dim_length * dim_length, square_metre> {
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} area;
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inline constexpr struct volume : system_reference<volume, dim_volume, cubic_metre> {
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// inline constexpr struct volume : system_reference<volume, dim_volume, cubic_metre> {
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inline constexpr struct volume : system_reference<volume, dim_length * dim_length * dim_length, cubic_metre> {
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} volume;
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inline constexpr struct speed : system_reference<speed, dim_speed, metre / second> {
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// inline constexpr struct speed : system_reference<speed, dim_speed, metre / second> {
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inline constexpr struct speed : system_reference<speed, dim_length / dim_time, metre / second> {
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} speed;
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inline constexpr struct acceleration : system_reference<acceleration, dim_acceleration, metre / second / second> {
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// inline constexpr struct acceleration : system_reference<acceleration, dim_acceleration, metre / second / second> {
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inline constexpr struct acceleration :
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system_reference<acceleration, dim_length / (dim_time * dim_time), metre / (second * second)> {
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} acceleration;
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} // namespace units::isq::si
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@@ -257,47 +277,51 @@ static_assert(is_of_type<dim_length / dim_time*(dim_length / dim_time),
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derived_dimension<power<struct dim_length, 2>, per<power<struct dim_time, 2>>>>);
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static_assert(is_of_type<dim_length / dim_time*(dim_time / dim_length), struct dim_one>);
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static_assert(
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is_of_type<dim_speed / dim_acceleration, derived_dimension<struct dim_speed, per<struct dim_acceleration>>>);
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static_assert(
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is_of_type<dim_acceleration / dim_speed, derived_dimension<struct dim_acceleration, per<struct dim_speed>>>);
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static_assert(is_of_type<dim_speed * dim_speed / dim_length,
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derived_dimension<power<struct dim_speed, 2>, per<struct dim_length>>>);
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static_assert(is_of_type<1 / (dim_speed * dim_speed) * dim_length,
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derived_dimension<struct dim_length, per<power<struct dim_speed, 2>>>>);
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// static_assert(
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// is_of_type<dim_speed / dim_acceleration, derived_dimension<struct dim_speed, per<struct dim_acceleration>>>);
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// static_assert(
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// is_of_type<dim_acceleration / dim_speed, derived_dimension<struct dim_acceleration, per<struct dim_speed>>>);
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// static_assert(is_of_type<dim_speed * dim_speed / dim_length,
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// derived_dimension<power<struct dim_speed, 2>, per<struct dim_length>>>);
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// static_assert(is_of_type<1 / (dim_speed * dim_speed) * dim_length,
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// derived_dimension<struct dim_length, per<power<struct dim_speed, 2>>>>);
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namespace si {
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// comparisons of equivalent dimensions
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static_assert(dim_length / dim_length == dim_one);
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static_assert(1 / dim_time == dim_frequency);
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static_assert(1 / dim_frequency == dim_time);
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static_assert(dim_frequency * dim_time == dim_one);
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static_assert(1 / dim_time == frequency::dimension);
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static_assert(1 / frequency::dimension == dim_time);
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static_assert(frequency::dimension * dim_time == dim_one);
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static_assert(dim_length * dim_length == dim_area);
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static_assert(dim_length * dim_length != dim_volume);
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static_assert(dim_area / dim_length == dim_length);
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static_assert(dim_length * dim_length == area::dimension);
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static_assert(dim_length * dim_length != volume::dimension);
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static_assert(area::dimension / dim_length == dim_length);
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static_assert(dim_length * dim_length * dim_length == dim_volume);
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static_assert(dim_area * dim_length == dim_volume);
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static_assert(dim_volume / dim_length == dim_area);
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static_assert(dim_volume / dim_length / dim_length == dim_length);
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static_assert(dim_area * dim_area / dim_length == dim_volume);
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static_assert(dim_area * (dim_area / dim_length) == dim_volume);
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static_assert(dim_volume / (dim_length * dim_length) == dim_length);
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static_assert(dim_length * dim_length * dim_length == volume::dimension);
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static_assert(area::dimension * dim_length == volume::dimension);
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static_assert(volume::dimension / dim_length == area::dimension);
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static_assert(volume::dimension / dim_length / dim_length == dim_length);
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static_assert(area::dimension * area::dimension / dim_length == volume::dimension);
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static_assert(area::dimension * (area::dimension / dim_length) == volume::dimension);
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static_assert(volume::dimension / (dim_length * dim_length) == dim_length);
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static_assert(dim_length / dim_time == dim_speed);
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static_assert(dim_length * dim_time != dim_speed);
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static_assert(dim_length / dim_time / dim_time != dim_speed);
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static_assert(dim_length / dim_speed == dim_time);
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static_assert(dim_speed * dim_time == dim_length);
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static_assert(dim_length / dim_time == speed::dimension);
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static_assert(dim_length * dim_time != speed::dimension);
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static_assert(dim_length / dim_time / dim_time != speed::dimension);
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static_assert(dim_length / speed::dimension == dim_time);
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static_assert(speed::dimension * dim_time == dim_length);
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static_assert(dim_length / dim_time / dim_time == dim_acceleration);
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static_assert(dim_length / (dim_time * dim_time) == dim_acceleration);
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static_assert(dim_speed / dim_time == dim_acceleration);
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static_assert(dim_speed / dim_acceleration == dim_time);
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static_assert(dim_acceleration * dim_time == dim_speed);
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static_assert(dim_acceleration * (dim_time * dim_time) == dim_length);
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static_assert(dim_acceleration / dim_speed == dim_frequency);
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static_assert(dim_length / dim_time / dim_time == acceleration::dimension);
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static_assert(dim_length / (dim_time * dim_time) == acceleration::dimension);
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static_assert(speed::dimension / dim_time == acceleration::dimension);
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static_assert(speed::dimension / acceleration::dimension == dim_time);
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static_assert(acceleration::dimension * dim_time == speed::dimension);
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static_assert(acceleration::dimension * (dim_time * dim_time) == dim_length);
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static_assert(acceleration::dimension / speed::dimension == frequency::dimension);
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} // namespace si
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} // namespace units::isq
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@@ -344,35 +368,35 @@ static_assert(is_of_type<joule / watt, derived_unit<struct joule, per<struct wat
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// comparisons of equivalent dimensions
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// static_assert(metre / metre == one);
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// static_assert(1 / second == dim_frequency);
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// static_assert(1 / dim_frequency == second);
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// static_assert(dim_frequency * second == one);
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// static_assert(1 / second == frequency::dimension);
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// static_assert(1 / frequency::dimension == second);
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// static_assert(frequency::dimension * second == one);
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// static_assert(metre * metre == dim_area);
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// static_assert(metre * metre != dim_volume);
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// static_assert(dim_area / metre == metre);
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// static_assert(metre * metre == area::dimension);
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// static_assert(metre * metre != volume::dimension);
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// static_assert(area::dimension / metre == metre);
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// static_assert(metre * metre * metre == dim_volume);
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// static_assert(dim_area * metre == dim_volume);
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// static_assert(dim_volume / metre == dim_area);
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// static_assert(dim_volume / metre / metre == metre);
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// static_assert(dim_area * dim_area / metre == dim_volume);
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// static_assert(dim_area * (dim_area / metre) == dim_volume);
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// static_assert(dim_volume / (metre * metre) == metre);
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// static_assert(metre * metre * metre == volume::dimension);
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// static_assert(area::dimension * metre == volume::dimension);
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// static_assert(volume::dimension / metre == area::dimension);
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// static_assert(volume::dimension / metre / metre == metre);
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// static_assert(area::dimension * area::dimension / metre == volume::dimension);
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// static_assert(area::dimension * (area::dimension / metre) == volume::dimension);
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// static_assert(volume::dimension / (metre * metre) == metre);
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// static_assert(metre / second == dim_speed);
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// static_assert(metre * second != dim_speed);
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// static_assert(metre / second / second != dim_speed);
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// static_assert(metre / dim_speed == second);
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// static_assert(dim_speed * second == metre);
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// static_assert(metre / second == speed::dimension);
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// static_assert(metre * second != speed::dimension);
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// static_assert(metre / second / second != speed::dimension);
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// static_assert(metre / speed::dimension == second);
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// static_assert(speed::dimension * second == metre);
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// static_assert(metre / second / second == dim_acceleration);
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// static_assert(metre / (second * second) == dim_acceleration);
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// static_assert(dim_speed / second == dim_acceleration);
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// static_assert(dim_speed / dim_acceleration == second);
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// static_assert(dim_acceleration * second == dim_speed);
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// static_assert(dim_acceleration * (second * second) == metre);
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// static_assert(dim_acceleration / dim_speed == dim_frequency);
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// static_assert(metre / second / second == acceleration::dimension);
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// static_assert(metre / (second * second) == acceleration::dimension);
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// static_assert(speed::dimension / second == acceleration::dimension);
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// static_assert(speed::dimension / acceleration::dimension == second);
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// static_assert(acceleration::dimension * second == speed::dimension);
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// static_assert(acceleration::dimension * (second * second) == metre);
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// static_assert(acceleration::dimension / speed::dimension == frequency::dimension);
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// Bq + Hz should not compile
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