// Boost.Units - A C++ library for zero-overhead dimensional analysis and 
// unit/quantity manipulation and conversion
//
// Copyright (C) 2003-2008 Matthias Christian Schabel
// Copyright (C) 2008 Steven Watanabe
//
// Distributed under the Boost Software License, Version 1.0. (See
// accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)

/** 
\file
    
\brief kitchen_sink.cpp

\details
More extensive quantity tests.

Output:
@verbatim

//[kitchen_sink_output_1
S1 :    2
X1 :    2
X2 :    (4/3)
U1 :    N
U2 :    J
Q1 :    1 N
Q2 :    2 J
//]

//[kitchen_sink_output_2
U1*S1 : 2 N
S1*U1 : 2 N
U1/S1 : 0.5 N
S1/U1 : 2 m^-1 kg^-1 s^2
//]

//[kitchen_sink_output_3
U1+U1 : N
U1-U1 : N
U1*U1 : m^2 kg^2 s^-4
U1/U1 : dimensionless
U1*U2 : m^3 kg^2 s^-4
U1/U2 : m^-1
U1^X  : m^2 kg^2 s^-4
X1vU1 : m^(1/2) kg^(1/2) s^-1
U1^X2 : m^(4/3) kg^(4/3) s^(-8/3)
X2vU1 : m^(3/4) kg^(3/4) s^(-3/2)
//]

//[kitchen_sink_output_4
Q1*S1 : 2 N
S1*Q1 : 2 N
Q1/S1 : 0.5 N
S1/Q1 : 2 m^-1 kg^-1 s^2
//]

//[kitchen_sink_output_5
U1*Q1 : 1 m^2 kg^2 s^-4
Q1*U1 : 1 m^2 kg^2 s^-4
U1/Q1 : 1 dimensionless
Q1/U1 : 1 dimensionless
//]

//[kitchen_sink_output_6
+Q1   : 1 N
-Q1   : -1 N
Q1+Q1 : 2 N
Q1-Q1 : 0 N
Q1*Q1 : 1 m^2 kg^2 s^-4
Q1/Q1 : 1 dimensionless
Q1*Q2 : 2 m^3 kg^2 s^-4
Q1/Q2 : 0.5 m^-1
Q1^X1 : 1 m^2 kg^2 s^-4
X1vQ1 : 1 m^(1/2) kg^(1/2) s^-1
Q1^X2 : 1 m^(4/3) kg^(4/3) s^(-8/3)
X2vQ1 : 1 m^(3/4) kg^(3/4) s^(-3/2)
//]

//[kitchen_sink_output_7
l1 == l2    false
l1 != l2    true
l1 <= l2    true
l1 < l2     true
l1 >= l2    false
l1 > l2     false
//]

dimless = 1

//[kitchen_sink_output_8
v1 = 2 m s^-1
//]

//[kitchen_sink_output_9
F  = 1 N
dx = 1 m
E  = 1 J
//]

//[kitchen_sink_output_10
r = 5e-07 m
P = 101325 Pa
V = 5.23599e-19 m^3
T = 310 K
n = 2.05835e-17 mol
R = 8.314472 m^2 kg s^-2 K^-1 mol^-1 (rel. unc. = 1.8e-06)
//]

//[kitchen_sink_output_11
theta            = 0.375 rd
sin(theta)       = 0.366273 dimensionless
asin(sin(theta)) = 0.375 rd
//]

//[kitchen_sink_output_12
V   = (12.5,0) V
I   = (3,4) A
Z   = (1.5,-2) Ohm
I*Z = (12.5,0) V
//]

//[kitchen_sink_output_13
x+y-w         = 0.48(+/-0.632772) m
w*x           = 9.04(+/-0.904885) m^2
x/y           = 0.666667(+/-0.149071) dimensionless
//]

//[kitchen_sink_output_14
w*y^2/(u*x)^2 = 10.17(+/-3.52328) m^-1
w/(u*x)^(1/2) = 3.19612(+/-0.160431) dimensionless
//]

//[kitchen_sink_output_15
I*w   = m^2 kg s^-1 rad^-1
I*w/L = dimensionless
I*w^2 = J
//]

//[kitchen_sink_output_16
1 F
1 kat
1 S
1 C
1 V
1 J
1 N
1 Hz
1 lx
1 H
1 lm
1 Wb
1 T
1 W
1 Pa
1 Ohm
//]

//[kitchen_sink_output_18
1 farad
1 katal
1 siemen
1 coulomb
1 volt
1 joule
1 newton
1 hertz
1 lux
1 henry
1 lumen
1 weber
1 tesla
1 watt
1 pascal
1 ohm
//]

@endverbatim
**/

#include <cmath>
#include <complex>
#include <iostream>

#include <boost/typeof/std/complex.hpp>

#include <boost/units/cmath.hpp>
#include <boost/units/io.hpp>
#include <boost/units/systems/si.hpp>
#include <boost/units/systems/si/codata/physico-chemical_constants.hpp>
#include <boost/units/systems/si/io.hpp>

#include "measurement.hpp"

namespace boost {

namespace units {

//[kitchen_sink_function_snippet_3
/// the physical definition of work - computed for an arbitrary unit system 
template<class System,class Y>
constexpr
quantity<unit<energy_dimension,System>,Y> 
work(quantity<unit<force_dimension,System>,Y> F,
     quantity<unit<length_dimension,System>,Y> dx)
{
    return F*dx;
}
//]

//[kitchen_sink_function_snippet_4
/// the ideal gas law in si units
template<class Y>
constexpr
quantity<si::amount,Y> 
idealGasLaw(const quantity<si::pressure,Y>& P,
            const quantity<si::volume,Y>& V,
            const quantity<si::temperature,Y>& T)
{
    using namespace boost::units::si;
    
    using namespace constants::codata;
    return (P*V/(R*T));
}
//]

} // namespace units

} // namespace boost

int main()
{    
    using namespace boost::units;
    using namespace boost::units::si;

    {
    //[kitchen_sink_snippet_1
    /// scalar
    const double    s1 = 2;
    
    const long                  x1 = 2;
    const static_rational<4,3>  x2;
    
    /// define some units
    force       u1 = newton;
    energy      u2 = joule;
    
    /// define some quantities
    quantity<force>      q1(1.0*u1);
    quantity<energy>     q2(2.0*u2);
    //]
    
    /// check scalar, unit, and quantity io
    std::cout << "S1 :    " << s1 << std::endl
              << "X1 :    " << x1 << std::endl
              << "X2 :    " << x2 << std::endl
              << "U1 :    " << u1 << std::endl
              << "U2 :    " << u2 << std::endl
              << "Q1 :    " << q1 << std::endl
              << "Q2 :    " << q2 << std::endl
              << std::endl;
    
    /// check scalar-unit algebra
    std::cout //<< "U1+S1 : " << u1+s1 << std::endl    // illegal
              //<< "S1+U1 : " << s1+u1 << std::endl    // illegal
              //<< "U1-S1 : " << u1-s1 << std::endl    // illegal
              //<< "S1-U1 : " << s1-u1 << std::endl    // illegal
              << "U1*S1 : " << u1*s1 << std::endl
              << "S1*U1 : " << s1*u1 << std::endl
              << "U1/S1 : " << u1/s1 << std::endl
              << "S1/U1 : " << s1/u1 << std::endl
              << std::endl;
    
    /// check unit-unit algebra
    std::cout << "U1+U1 : " << u1+u1 << std::endl
              << "U1-U1 : " << u1-u1 << std::endl
              << "U1*U1 : " << u1*u1 << std::endl
              << "U1/U1 : " << u1/u1 << std::endl
              //<< "U1+U2 : " << u1+u2 << std::endl     // illegal
              //<< "U1-U2 : " << u1-u2 << std::endl     // illegal
              << "U1*U2 : " << u1*u2 << std::endl
              << "U1/U2 : " << u1/u2 << std::endl
              << "U1^X  : " << pow<2>(u1) << std::endl
              << "X1vU1 : " << root<2>(u1) << std::endl
              << "U1^X2 : " << pow<static_rational<4,3> >(u1) << std::endl
              << "X2vU1 : " << root<static_rational<4,3> >(u1) << std::endl
              << std::endl;
    
    /// check scalar-quantity algebra
    std::cout //<< "Q1+S1 : " << q1+s1 << std::endl    // illegal
              //<< "S1+Q1 : " << s1+q1 << std::endl    // illegal
              //<< "Q1-S1 : " << q1-s1 << std::endl    // illegal
              //<< "S1-Q1 : " << s1-q1 << std::endl    // illegal
              << "Q1*S1 : " << q1*s1 << std::endl
              << "S1*Q1 : " << s1*q1 << std::endl
              << "Q1/S1 : " << q1/s1 << std::endl
              << "S1/Q1 : " << s1/q1 << std::endl
              << std::endl;
    
    /// check unit-quantity algebra
    std::cout //<< "U1+Q1 : " << u1+q1 << std::endl    // illegal
              //<< "Q1+U1 : " << q1+u1 << std::endl    // illegal
              //<< "U1-Q1 : " << u1-q1 << std::endl    // illegal
              //<< "Q1-U1 : " << q1-u1 << std::endl    // illegal
              << "U1*Q1 : " << u1*q1 << std::endl
              << "Q1*U1 : " << q1*u1 << std::endl
              << "U1/Q1 : " << u1/q1 << std::endl
              << "Q1/U1 : " << q1/u1 << std::endl
              << std::endl;
    
    /// check quantity-quantity algebra
    std::cout << "+Q1   : " << +q1 << std::endl
              << "-Q1   : " << -q1 << std::endl
              << "Q1+Q1 : " << q1+q1 << std::endl
              << "Q1-Q1 : " << q1-q1 << std::endl
              << "Q1*Q1 : " << q1*q1 << std::endl
              << "Q1/Q1 : " << q1/q1 << std::endl
              //<< "Q1+Q2 : " << q1+q2 << std::endl    // illegal
              //<< "Q1-Q2 : " << q1-q2 << std::endl    // illegal
              << "Q1*Q2 : " << q1*q2 << std::endl
              << "Q1/Q2 : " << q1/q2 << std::endl
              << "Q1^X1 : " << pow<2>(q1) << std::endl
              << "X1vQ1 : " << root<2>(q1) << std::endl
              << "Q1^X2 : " << pow<static_rational<4,3> >(q1) << std::endl
              << "X2vQ1 : " << root<static_rational<4,3> >(q1) << std::endl
              << std::endl;
    
    //[kitchen_sink_snippet_2
    /// check comparison tests
    quantity<length>    l1(1.0*meter),
                        l2(2.0*meters);
    //]
                        
    std::cout << std::boolalpha
              << "l1 == l2" << "\t" << (l1 == l2) << std::endl
              << "l1 != l2" << "\t" << (l1 != l2) << std::endl
              << "l1 <= l2" << "\t" << (l1 <= l2) << std::endl
              << "l1 < l2 " << "\t" << (l1  < l2) << std::endl
              << "l1 >= l2" << "\t" << (l1 >= l2) << std::endl
              << "l1 > l2 " << "\t" << (l1  > l2) << std::endl
              << std::endl;
    
    //[kitchen_sink_snippet_3
    /// check implicit unit conversion from dimensionless to value_type  
    const double    dimless = (q1/q1);
    //]
    
    std::cout << "dimless = " << dimless << std::endl
              << std::endl;
             
    quantity<velocity>  v1 = 2.0*meters/second;
        
    std::cout << "v1 = " << v1 << std::endl
              << std::endl;
    
    //[kitchen_sink_snippet_4
    /// test calcuation of work
    quantity<force>       F(1.0*newton);
    quantity<length>      dx(1.0*meter);
    quantity<energy>      E(work(F,dx));
    //]
    
    std::cout << "F  = " << F << std::endl
              << "dx = " << dx << std::endl
              << "E  = " << E << std::endl
              << std::endl;
    
    {
    //[kitchen_sink_snippet_5
    /// test ideal gas law
    quantity<temperature>   T = (273.+37.)*kelvin;
    quantity<pressure>      P = 1.01325e5*pascals;
    quantity<length>        r = 0.5e-6*meters;
    quantity<volume>        V = (4.0/3.0)*3.141592*pow<3>(r);
    quantity<amount>        n(idealGasLaw(P,V,T));
    //]
    
    std::cout << "r = " << r << std::endl
              << "P = " << P << std::endl
              << "V = " << V << std::endl
              << "T = " << T << std::endl
              << "n = " << n << std::endl
              #if BOOST_UNITS_HAS_TYPEOF
              << "R = " << constants::codata::R << std::endl
              #else
              << "no typeof" << std::endl
              #endif // BOOST_UNITS_HAS_TYPEOF
              << std::endl;
    }         
    
    //[kitchen_sink_snippet_6
    /// test trig stuff
    quantity<plane_angle>           theta = 0.375*radians;
    quantity<dimensionless>         sin_theta = sin(theta);
    quantity<plane_angle>           thetap = asin(sin_theta);
    //]
    
    std::cout << "theta            = " << theta << std::endl
              << "sin(theta)       = " << sin_theta << std::endl
              << "asin(sin(theta)) = " << thetap << std::endl
              << std::endl;
    
    /// test implicit conversion of dimensionless to value
    double  tmp = sin_theta;
    
    tmp = sin_theta;
    
    /// test implicit conversion from value to dimensionless
    quantity<dimensionless>     tmpp = tmp;
    
    tmpp = tmp;
    
    /// check complex quantities
    typedef std::complex<double>    complex_type;
    
    //[kitchen_sink_snippet_7
    quantity<electric_potential,complex_type> v = complex_type(12.5,0.0)*volts;
    quantity<current,complex_type>            i = complex_type(3.0,4.0)*amperes;
    quantity<resistance,complex_type>         z = complex_type(1.5,-2.0)*ohms;
    //]
    
    std::cout << "V   = " << v << std::endl
              << "I   = " << i << std::endl
              << "Z   = " << z << std::endl
              << "I*Z = " << i*z << std::endl
              << std::endl;
    
    /// check quantities using user-defined type encapsulating error propagation

    //[kitchen_sink_snippet_8
    quantity<length,measurement<double> >
        u(measurement<double>(1.0,0.0)*meters),
        w(measurement<double>(4.52,0.02)*meters),
        x(measurement<double>(2.0,0.2)*meters),
        y(measurement<double>(3.0,0.6)*meters);
    //]
                                        
    std::cout << "x+y-w         = " << x+y-w << std::endl
              << "w*x           = " << w*x << std::endl
              << "x/y           = " << x/y << std::endl
              << "w*y^2/(u*x)^2 = " << w*y*y/pow<2>(u*x) << std::endl
              << "w/(u*x)^(1/2) = " << w/pow< static_rational<1,2> >(u*x)
              << std::endl << std::endl;
    }
    
    /// check moment of inertia/angular momentum/rotational energy
    
    //[kitchen_sink_snippet_9
    std::cout << symbol_format
              << "I*w   = " << moment_of_inertia()*angular_velocity() << std::endl
              << "I*w/L = " << moment_of_inertia()*angular_velocity()/angular_momentum() << std::endl
              << "I*w^2 = " << moment_of_inertia()*pow<2>(angular_velocity()) << std::endl
              << std::endl;
    //]
    
    //[kitchen_sink_snippet_10
//    std::cout << typename_format 
//              << quantity<capacitance>(1.0*farad) << std::endl
//              << quantity<catalytic_activity>(1.0*katal) << std::endl
//              << quantity<conductance>(1.0*siemen) << std::endl
//              << quantity<electric_charge>(1.0*coulomb) << std::endl
//              << quantity<electric_potential>(1.0*volt) << std::endl
//              << quantity<energy>(1.0*joule) << std::endl
//              << quantity<force>(1.0*newton) << std::endl
//              << quantity<frequency>(1.0*hertz) << std::endl
//              << quantity<illuminance>(1.0*lux) << std::endl
//              << quantity<inductance>(1.0*henry) << std::endl
//              << quantity<luminous_flux>(1.0*lumen) << std::endl
//              << quantity<magnetic_flux>(1.0*weber) << std::endl
//              << quantity<magnetic_flux_density>(1.0*tesla) << std::endl
//              << quantity<power>(1.0*watt) << std::endl
//              << quantity<pressure>(1.0*pascals) << std::endl
//              << quantity<resistance>(1.0*ohm) << std::endl
//              << std::endl;
    //]
    
    //[kitchen_sink_snippet_11
//    std::cout << raw_format 
//              << quantity<capacitance>(1.0*farad) << std::endl
//              << quantity<catalytic_activity>(1.0*katal) << std::endl
//              << quantity<conductance>(1.0*siemen) << std::endl
//              << quantity<electric_charge>(1.0*coulomb) << std::endl
//              << quantity<electric_potential>(1.0*volt) << std::endl
//              << quantity<energy>(1.0*joule) << std::endl
//              << quantity<force>(1.0*newton) << std::endl
//              << quantity<frequency>(1.0*hertz) << std::endl
//              << quantity<illuminance>(1.0*lux) << std::endl
//              << quantity<inductance>(1.0*henry) << std::endl
//              << quantity<luminous_flux>(1.0*lumen) << std::endl
//              << quantity<magnetic_flux>(1.0*weber) << std::endl
//              << quantity<magnetic_flux_density>(1.0*tesla) << std::endl
//              << quantity<power>(1.0*watt) << std::endl
//              << quantity<pressure>(1.0*pascals) << std::endl
//              << quantity<resistance>(1.0*ohm) << std::endl
//              << std::endl;
    //]
    
    //[kitchen_sink_snippet_12
    std::cout << symbol_format 
              << quantity<capacitance>(1.0*farad) << std::endl
              << quantity<catalytic_activity>(1.0*katal) << std::endl
              << quantity<conductance>(1.0*siemen) << std::endl
              << quantity<electric_charge>(1.0*coulomb) << std::endl
              << quantity<electric_potential>(1.0*volt) << std::endl
              << quantity<energy>(1.0*joule) << std::endl
              << quantity<force>(1.0*newton) << std::endl
              << quantity<frequency>(1.0*hertz) << std::endl
              << quantity<illuminance>(1.0*lux) << std::endl
              << quantity<inductance>(1.0*henry) << std::endl
              << quantity<luminous_flux>(1.0*lumen) << std::endl
              << quantity<magnetic_flux>(1.0*weber) << std::endl
              << quantity<magnetic_flux_density>(1.0*tesla) << std::endl
              << quantity<power>(1.0*watt) << std::endl
              << quantity<pressure>(1.0*pascals) << std::endl
              << quantity<resistance>(1.0*ohm) << std::endl
              << std::endl;
    //]
    
    //[kitchen_sink_snippet_13
    std::cout << name_format 
              << quantity<capacitance>(1.0*farad) << std::endl
              << quantity<catalytic_activity>(1.0*katal) << std::endl
              << quantity<conductance>(1.0*siemen) << std::endl
              << quantity<electric_charge>(1.0*coulomb) << std::endl
              << quantity<electric_potential>(1.0*volt) << std::endl
              << quantity<energy>(1.0*joule) << std::endl
              << quantity<force>(1.0*newton) << std::endl
              << quantity<frequency>(1.0*hertz) << std::endl
              << quantity<illuminance>(1.0*lux) << std::endl
              << quantity<inductance>(1.0*henry) << std::endl
              << quantity<luminous_flux>(1.0*lumen) << std::endl
              << quantity<magnetic_flux>(1.0*weber) << std::endl
              << quantity<magnetic_flux_density>(1.0*tesla) << std::endl
              << quantity<power>(1.0*watt) << std::endl
              << quantity<pressure>(1.0*pascals) << std::endl
              << quantity<resistance>(1.0*ohm) << std::endl
              << std::endl;
    //]

    return 0;
}