datatypes.h

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#pragma once
#include <SI/internal.h>
#define DATATYPE(_name, _lengthExp, _massExp, _timeExp, _temperatureExp, _currentExp, _substanceExp, _intensityExp) \
    namespace detail { using _name ## _dimension = dimension<_lengthExp, _massExp, _timeExp, _temperatureExp,       \
                                                             _currentExp, _substanceExp, _intensityExp>; }          \
    template <class T> using _name ## _t = detail::quantity<detail:: _name ## _dimension, T>;                       \
    using _name = _name ## _t<SIdouble>;                                                                            \
    using _name ## 2 = _name ## _t<detail::vec2<SIdouble>>;                                                         \
    using _name ## 3 = _name ## _t<detail::vec3<SIdouble>>
 
namespace SI {
 
    // The Dimensionless Datatype
    // --------------------------
    typedef double dimensionless;   
 
    // The 7 SI Base Datatypes
    // -----------------------
    //                                   Exponents:           Internal base unit:
    //                               l  m  t  T  c  s  i 
    DATATYPE(length,                 1, 0, 0, 0, 0, 0, 0); // in meters
    DATATYPE(mass,                   0, 1, 0, 0, 0, 0, 0); // in kilograms
    DATATYPE(time,                   0, 0, 1, 0, 0, 0, 0); // in seconds
    DATATYPE(temperature,            0, 0, 0, 1, 0, 0, 0); // in kelvins
    DATATYPE(electric_current,       0, 0, 0, 0, 1, 0, 0); // in amperes
    DATATYPE(amount_of_substance,    0, 0, 0, 0, 0, 1, 0); // in moles
    DATATYPE(luminous_intensity,     0, 0, 0, 0, 0, 0, 1); // in candelas
 
    // The Derived SI Datatypes
    // ------------------------
    DATATYPE(area,                   2, 0, 0, 0, 0, 0, 0); // in square meters
    DATATYPE(volume,                 3, 0, 0, 0, 0, 0, 0); // in cubic meter
    DATATYPE(velocity,               1, 0,-1, 0, 0, 0, 0); // in meter per second
    DATATYPE(acceleration,           1, 0,-2, 0, 0, 0, 0); // in meter per square meter
    DATATYPE(jerk,                   1, 0,-3, 0, 0, 0, 0); // in meter per cubic meter
    DATATYPE(force,                  1, 1,-2, 0, 0, 0, 0); // in newtons
    DATATYPE(energy,                 2, 1,-2, 0, 0, 0, 0); // in newtonmeter
    DATATYPE(impulse,                1, 1,-1, 0, 0, 0, 0); // in kilogram meter per second
    DATATYPE(torque,                 2, 1,-2, 0, 0, 0, 0); // in kilogram square meter per square second
    DATATYPE(pressure,              -1, 1,-2, 0, 0, 0, 0); // in pascals
    DATATYPE(power,                  2, 1,-3, 0, 0, 0, 0); // in watts
    DATATYPE(power_intensity,        0, 1,-3, 0, 0, 0, 0); // in watts per square meter
    DATATYPE(density,               -3, 1, 0, 0, 0, 0, 0); // in kilograms per cubic meter
    DATATYPE(electric_potential,     2, 1,-3, 0,-1, 0, 0); // in volts
    DATATYPE(electric_charge,        0, 0, 1, 0, 1, 0, 0); // in amperes per second
    DATATYPE(mass_per_area,         -2, 1, 0, 0, 0, 0, 0); // in kilograms per square meter
    DATATYPE(mass_per_power,        -2, 0, 3, 0, 0, 0, 0); // in kilograms per watt
    DATATYPE(angular_speed,          0, 0,-1, 0, 1, 0, 0); // in degrees per second
    DATATYPE(specific_energy,        2, 0,-2, 0, 0, 0, 0); // in joules per kilogram
    DATATYPE(energy_per_mol,         2, 1,-2, 0, 0, 1, 0); // in joules per mol
    DATATYPE(volume_per_time_squared,3, 0,-2, 0, 0, 0, 0); // in cubic meter per square second
    DATATYPE(per_length,            -1, 0, 0, 0, 0, 0, 0); // per meter (reciprocal)
    DATATYPE(per_area,              -2, 0, 0, 0, 0, 0, 0); // per square meter (reciprocal)
    DATATYPE(frequency,              0, 0,-1, 0, 0, 0, 0); // per second (reciprocal)
    DATATYPE(per_amount_of_substance,0, 0, 0, 0,-1, 0, 0); // per mol (reciprocal)
 
} // end of namespace SI
 
#undef DATATYPE