mp-units/example/storage_tank.cpp

// 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
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// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
// SOFTWARE.

#include <mp-units/chrono.h>
#include <mp-units/format.h>
#include <mp-units/math.h>
#include <mp-units/systems/isq/mechanics.h>
#include <mp-units/systems/isq/space_and_time.h>
#include <mp-units/systems/si/constants.h>
#include <mp-units/systems/si/unit_symbols.h>
#include <mp-units/systems/si/units.h>
#include <cassert>
#include <chrono>
#include <iostream>
#include <numbers>
#include <utility>

// allows standard gravity (acceleration) and weight (force) to be expressed with scalar representation
// types instead of requiring the usage of Linear Algebra library for this simple example
template<class T>
  requires mp_units::is_scalar<T>
inline constexpr bool mp_units::is_vector<T> = true;

namespace {

using namespace mp_units;
using namespace mp_units::si::unit_symbols;

// add a custom quantity type of kind isq::length
QUANTITY_SPEC(horizontal_length, isq::length);

// add a custom derived quantity type of kind isq::area
// with a constrained quantity equation
QUANTITY_SPEC(horizontal_area, isq::area, horizontal_length* isq::width);

inline constexpr auto g = 1 * si::standard_gravity;
inline constexpr auto air_density = isq::mass_density(1.225 * kg / m3);

class StorageTank {
  quantity<horizontal_area[m2]> base_;
  quantity<isq::height[m]> height_;
  quantity<isq::mass_density[kg / m3]> density_ = air_density;
public:
  constexpr StorageTank(const quantity<horizontal_area[m2]>& base, const quantity<isq::height[m]>& height) :
      base_(base), height_(height)
  {
  }

  constexpr void set_contents_density(const quantity<isq::mass_density[kg / m3]>& density)
  {
    assert(density > air_density);
    density_ = density;
  }

  [[nodiscard]] constexpr QuantityOf<isq::weight> auto filled_weight() const
  {
    const auto volume = isq::volume(base_ * height_);  // TODO check if we can remove that cast
    const QuantityOf<isq::mass> auto mass = density_ * volume;
    return isq::weight(mass * g);
  }

  [[nodiscard]] constexpr quantity<isq::height[m]> fill_level(const quantity<isq::mass[kg]>& measured_mass) const
  {
    return height_ * measured_mass * g / filled_weight();
  }

  [[nodiscard]] constexpr quantity<isq::volume[m3]> spare_capacity(const quantity<isq::mass[kg]>& measured_mass) const
  {
    return (height_ - fill_level(measured_mass)) * base_;
  }
};


class CylindricalStorageTank : public StorageTank {
public:
  constexpr CylindricalStorageTank(const quantity<isq::radius[m]>& radius, const quantity<isq::height[m]>& height) :
      StorageTank(quantity_cast<horizontal_area>(std::numbers::pi * pow<2>(radius)), height)
  {
  }
};

class RectangularStorageTank : public StorageTank {
public:
  constexpr RectangularStorageTank(const quantity<horizontal_length[m]>& length, const quantity<isq::width[m]>& width,
                                   const quantity<isq::height[m]>& height) :
      StorageTank(length * width, height)
  {
  }
};

}  // namespace


int main()
{
  const quantity height = isq::height(200 * mm);
  auto tank = RectangularStorageTank(horizontal_length(1'000 * mm), isq::width(500 * mm), height);
  tank.set_contents_density(1'000 * kg / m3);

  const auto duration = std::chrono::seconds{200};
  const quantity fill_time = value_cast<int>(quantity{duration});  // time since starting fill
  const quantity measured_mass = 20. * kg;                         // measured mass at fill_time

  const quantity fill_level = tank.fill_level(measured_mass);
  const quantity spare_capacity = tank.spare_capacity(measured_mass);
  const quantity filled_weight = tank.filled_weight();

  const QuantityOf<isq::mass_change_rate> auto input_flow_rate = measured_mass / fill_time;
  const QuantityOf<isq::speed> auto float_rise_rate = fill_level / fill_time;
  const QuantityOf<isq::time> auto fill_time_left = (height / fill_level - 1 * one) * fill_time;

  const quantity fill_ratio = fill_level / height;

  std::cout << MP_UNITS_STD_FMT::format("fill height at {} = {} ({} full)\n", fill_time, fill_level,
                                        fill_ratio.in(percent));
  std::cout << MP_UNITS_STD_FMT::format("fill weight at {} = {} ({})\n", fill_time, filled_weight, filled_weight.in(N));
  std::cout << MP_UNITS_STD_FMT::format("spare capacity at {} = {}\n", fill_time, spare_capacity);
  std::cout << MP_UNITS_STD_FMT::format("input flow rate = {}\n", input_flow_rate);
  std::cout << MP_UNITS_STD_FMT::format("float rise rate = {}\n", float_rise_rate);
  std::cout << MP_UNITS_STD_FMT::format("tank full E.T.A. at current flow rate = {}\n", fill_time_left.in(s));
}