HumidAirProp.cpp

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#if defined(_MSC_VER)
#    ifndef _CRT_SECURE_NO_WARNINGS
#        define _CRT_SECURE_NO_WARNINGS
#    endif
#endif
 
#include <memory>
 
#include "HumidAirProp.h"
#include "Backends/Helmholtz/HelmholtzEOSBackend.h"
#include "Solvers.h"
#include "CoolPropTools.h"
#include "Ice.h"
#include "CoolProp.h"
#include "crossplatform_shared_ptr.h"
#include "Exceptions.h"
#include "Configuration.h"
 
#include <algorithm>  // std::next_permutation
#include <stdlib.h>
#include "math.h"
#include "time.h"
#include "stdio.h"
#include <string.h>
#include <iostream>
#include <list>
#include "externals/IF97/IF97.h"
 
std::size_t strcmp(const std::string& s, const std::string& e) {
    return s.compare(e);
}
std::size_t strcmp(const std::string& s, const char* e) {  // To avoid unnecessary constructors
    return s.compare(e);
}
std::size_t strcmp(const char* e, const std::string& s) {
    return -s.compare(e);
}
 
// This is a lazy stub function to avoid recoding all the strcpy calls below
void strcpy(std::string& s, const std::string& e) {
    s = e;
}
 
shared_ptr<CoolProp::HelmholtzEOSBackend> Water, Air;
shared_ptr<CoolProp::AbstractState> WaterIF97;
 
namespace HumidAir {
enum givens
{
    GIVEN_INVALID = 0,
    GIVEN_TDP,
    GIVEN_PSIW,
    GIVEN_HUMRAT,
    GIVEN_VDA,
    GIVEN_VHA,
    GIVEN_TWB,
    GIVEN_RH,
    GIVEN_ENTHALPY,
    GIVEN_ENTHALPY_HA,
    GIVEN_ENTROPY,
    GIVEN_ENTROPY_HA,
    GIVEN_T,
    GIVEN_P,
    GIVEN_VISC,
    GIVEN_COND,
    GIVEN_CP,
    GIVEN_CPHA,
    GIVEN_COMPRESSIBILITY_FACTOR,
    GIVEN_PARTIAL_PRESSURE_WATER,
    GIVEN_CV,
    GIVEN_CVHA,
    GIVEN_INTERNAL_ENERGY,
    GIVEN_INTERNAL_ENERGY_HA,
    GIVEN_SPEED_OF_SOUND,
    GIVEN_ISENTROPIC_EXPONENT
};
 
#if !defined(NO_FMTLIB) && FMT_VERSION >= 90000
int format_as(givens given) {
    return fmt::underlying(given);
}
#endif
 
void _HAPropsSI_inputs(double p, const std::vector<givens>& input_keys, const std::vector<double>& input_vals, double& T, double& psi_w);
double _HAPropsSI_outputs(givens OuputType, double p, double T, double psi_w);
double MoleFractionWater(double, double, int, double);
 
void check_fluid_instantiation() {
    if (!Water.get()) {
        Water.reset(new CoolProp::HelmholtzEOSBackend("Water"));
    }
    if (!WaterIF97.get()) {
        WaterIF97.reset(CoolProp::AbstractState::factory("IF97", "Water"));
    }
    if (!Air.get()) {
        Air.reset(new CoolProp::HelmholtzEOSBackend("Air"));
    }
};
 
static double epsilon = 0.621945, R_bar = 8.314472;
static int FlagUseVirialCorrelations = 0, FlagUseIsothermCompressCorrelation = 0, FlagUseIdealGasEnthalpyCorrelations = 0;
double f_factor(double T, double p);
 
// A central place to check bounds, should be used much more frequently
static inline bool check_bounds(const givens prop, const double& value, double& min_val, double& max_val) {
    // If limit checking is disabled, just accept the inputs, return true
    if (CoolProp::get_config_bool(DONT_CHECK_PROPERTY_LIMITS)) {
        return true;
    }
    if (!ValidNumber(value)) return false;
 
    switch (prop) {
        case GIVEN_P:
            min_val = 0.00001e6;
            max_val = 10e6;
            break;
        case GIVEN_T:
        case GIVEN_TDP:
        case GIVEN_TWB:
            min_val = -143.15 + 273.15;
            max_val = 350 + 273.15;
            break;
        case GIVEN_HUMRAT:
            min_val = 0.0;
            max_val = 10.0;
            break;
        case GIVEN_PSIW:
            min_val = 0.0;
            max_val = 0.94145;
            break;
        case GIVEN_RH:
            min_val = 0.0;
            max_val = 1.0;
            break;
        default:
            min_val = -_HUGE;
            max_val = _HUGE;
            break;
    }
    bool ret = !((value < min_val) || (value > max_val));
    return ret;
}
 
// A couple of convenience functions that are needed quite a lot
static double MM_Air(void) {
    check_fluid_instantiation();
    return Air->keyed_output(CoolProp::imolar_mass);
}
static double MM_Water(void) {
    check_fluid_instantiation();
    return Water->keyed_output(CoolProp::imolar_mass);
}
static double B_Air(double T) {
    check_fluid_instantiation();
    Air->specify_phase(CoolProp::iphase_gas);
    Air->update_DmolarT_direct(1e-12, T);
    Air->unspecify_phase();
    return Air->keyed_output(CoolProp::iBvirial);
}
static double dBdT_Air(double T) {
    check_fluid_instantiation();
    Air->specify_phase(CoolProp::iphase_gas);
    Air->update_DmolarT_direct(1e-12, T);
    Air->unspecify_phase();
    return Air->keyed_output(CoolProp::idBvirial_dT);
}
static double B_Water(double T) {
    check_fluid_instantiation();
    Water->specify_phase(CoolProp::iphase_gas);
    Water->update_DmolarT_direct(1e-12, T);
    Water->unspecify_phase();
    return Water->keyed_output(CoolProp::iBvirial);
}
static double dBdT_Water(double T) {
    check_fluid_instantiation();
    Water->specify_phase(CoolProp::iphase_gas);
    Water->update_DmolarT_direct(1e-12, T);
    Water->unspecify_phase();
    return Water->keyed_output(CoolProp::idBvirial_dT);
}
static double C_Air(double T) {
    check_fluid_instantiation();
    Air->specify_phase(CoolProp::iphase_gas);
    Air->update_DmolarT_direct(1e-12, T);
    Air->unspecify_phase();
    return Air->keyed_output(CoolProp::iCvirial);
}
static double dCdT_Air(double T) {
    check_fluid_instantiation();
    Air->specify_phase(CoolProp::iphase_gas);
    Air->update_DmolarT_direct(1e-12, T);
    Air->unspecify_phase();
    return Air->keyed_output(CoolProp::idCvirial_dT);
}
static double C_Water(double T) {
    check_fluid_instantiation();
    Water->specify_phase(CoolProp::iphase_gas);
    Water->update_DmolarT_direct(1e-12, T);
    Water->unspecify_phase();
    return Water->keyed_output(CoolProp::iCvirial);
}
static double dCdT_Water(double T) {
    check_fluid_instantiation();
    Water->specify_phase(CoolProp::iphase_gas);
    Water->update_DmolarT_direct(1e-12, T);
    Water->unspecify_phase();
    return Water->keyed_output(CoolProp::idCvirial_dT);
}
void UseVirialCorrelations(int flag) {
    if (flag == 0 || flag == 1) {
        FlagUseVirialCorrelations = flag;
    } else {
        printf("UseVirialCorrelations takes an integer, either 0 (no) or 1 (yes)\n");
    }
}
void UseIsothermCompressCorrelation(int flag) {
    if (flag == 0 || flag == 1) {
        FlagUseIsothermCompressCorrelation = flag;
    } else {
        printf("UseIsothermCompressCorrelation takes an integer, either 0 (no) or 1 (yes)\n");
    }
}
void UseIdealGasEnthalpyCorrelations(int flag) {
    if (flag == 0 || flag == 1) {
        FlagUseIdealGasEnthalpyCorrelations = flag;
    } else {
        printf("UseIdealGasEnthalpyCorrelations takes an integer, either 0 (no) or 1 (yes)\n");
    }
}
static double Brent_HAProps_W(givens OutputKey, double p, givens In1Name, double Input1, double TargetVal, double W_min, double W_max) {
    // Iterating for W,
    double W;
    class BrentSolverResids : public CoolProp::FuncWrapper1D
    {
       private:
        givens OutputKey;
        double p;
        givens In1Key;
        double Input1, TargetVal;
        std::vector<givens> input_keys;
        std::vector<double> input_vals;
 
       public:
        BrentSolverResids(givens OutputKey, double p, givens In1Key, double Input1, double TargetVal)
          : OutputKey(OutputKey), p(p), In1Key(In1Key), Input1(Input1), TargetVal(TargetVal) {
            input_keys.resize(2);
            input_keys[0] = In1Key;
            input_keys[1] = GIVEN_HUMRAT;
            input_vals.resize(2);
            input_vals[0] = Input1;
        };
 
        double call(double W) {
            input_vals[1] = W;
            double T = _HUGE, psi_w = _HUGE;
            _HAPropsSI_inputs(p, input_keys, input_vals, T, psi_w);
            if (CoolProp::get_debug_level() > 0) {
                std::cout << format("T: %g K, psi_w %g\n", T, psi_w);
            }
            return _HAPropsSI_outputs(OutputKey, p, T, psi_w) - TargetVal;
        }
    };
 
    BrentSolverResids BSR = BrentSolverResids(OutputKey, p, In1Name, Input1, TargetVal);
 
    // Now we need to check the bounds and make sure that they are ok (don't yield invalid output)
    // and actually bound the solution
    double r_min = BSR.call(W_min);
    bool W_min_valid = ValidNumber(r_min);
    double r_max = BSR.call(W_max);
    bool W_max_valid = ValidNumber(r_max);
    if (!W_min_valid && !W_max_valid) {
        throw CoolProp::ValueError(format("Both W_min [%g] and W_max [%g] yield invalid output values in Brent_HAProps_W", W_min, W_max).c_str());
    } else if (W_min_valid && !W_max_valid) {
        while (!W_max_valid) {
            // Reduce W_max until it works
            W_max = 0.95 * W_max + 0.05 * W_min;
            r_max = BSR.call(W_max);
            W_max_valid = ValidNumber(r_max);
        }
    } else if (!W_min_valid && W_max_valid) {
        while (!W_min_valid) {
            // Increase W_min until it works
            W_min = 0.95 * W_min + 0.05 * W_max;
            r_min = BSR.call(W_min);
            W_min_valid = ValidNumber(r_min);
        }
    }
    // We will do a secant call if the values at W_min and W_max have the same sign
    if (r_min * r_max > 0) {
        if (std::abs(r_min) < std::abs(r_max)) {
            W = CoolProp::Secant(BSR, W_min, 0.01 * W_min, 1e-7, 50);
        } else {
            W = CoolProp::Secant(BSR, W_max, -0.01 * W_max, 1e-7, 50);
        }
    } else {
        W = CoolProp::Brent(BSR, W_min, W_max, 1e-7, 1e-7, 50);
    }
    return W;
}
static double Brent_HAProps_T(givens OutputKey, double p, givens In1Name, double Input1, double TargetVal, double T_min, double T_max) {
    double T;
    class BrentSolverResids : public CoolProp::FuncWrapper1D
    {
       private:
        givens OutputKey;
        double p;
        givens In1Key;
        double Input1, TargetVal;
        std::vector<givens> input_keys;
        std::vector<double> input_vals;
 
       public:
        BrentSolverResids(givens OutputKey, double p, givens In1Key, double Input1, double TargetVal)
          : OutputKey(OutputKey), p(p), In1Key(In1Key), Input1(Input1), TargetVal(TargetVal) {
            input_keys.resize(2);
            input_keys[0] = In1Key;
            input_keys[1] = GIVEN_T;
            input_vals.resize(2);
            input_vals[0] = Input1;
        };
 
        double call(double T_drybulb) {
            double psi_w;
            psi_w = MoleFractionWater(T_drybulb, p, input_keys[0], input_vals[0]);
            double val = _HAPropsSI_outputs(OutputKey, p, T_drybulb, psi_w);
            return val - TargetVal;
        }
    };
 
    BrentSolverResids BSR = BrentSolverResids(OutputKey, p, In1Name, Input1, TargetVal);
 
    // Now we need to check the bounds and make sure that they are ok (don't yield invalid output)
    // and actually bound the solution
    double r_min = BSR.call(T_min);
    bool T_min_valid = ValidNumber(r_min);
    double r_max = BSR.call(T_max);
    bool T_max_valid = ValidNumber(r_max);
    if (!T_min_valid && !T_max_valid) {
        throw CoolProp::ValueError(format("Both T_min [%g] and T_max [%g] yield invalid output values in Brent_HAProps_T", T_min, T_max).c_str());
    } else if (T_min_valid && !T_max_valid) {
        while (!T_max_valid) {
            // Reduce T_max until it works
            T_max = 0.95 * T_max + 0.05 * T_min;
            r_max = BSR.call(T_max);
            T_max_valid = ValidNumber(r_max);
        }
    } else if (!T_min_valid && T_max_valid) {
        while (!T_min_valid) {
            // Increase T_min until it works
            T_min = 0.95 * T_min + 0.05 * T_max;
            r_min = BSR.call(T_min);
            T_min_valid = ValidNumber(r_min);
        }
    }
    // We will do a secant call if the values at T_min and T_max have the same sign
    if (r_min * r_max > 0) {
        if (std::abs(r_min) < std::abs(r_max)) {
            T = CoolProp::Secant(BSR, T_min, 0.01 * T_min, 1e-7, 50);
        } else {
            T = CoolProp::Secant(BSR, T_max, -0.01 * T_max, 1e-7, 50);
        }
    } else {
        double mach_eps = 1e-15, tol = 1e-10;
        T = CoolProp::Brent(BSR, T_min, T_max, mach_eps, tol, 50);
    }
    return T;
}
static double Secant_Tdb_at_saturated_W(double psi_w, double p, double T_guess) {
    double T;
    class BrentSolverResids : public CoolProp::FuncWrapper1D
    {
       private:
        double pp_water, psi_w, p;
 
       public:
        BrentSolverResids(double psi_w, double p) : psi_w(psi_w), p(p) {
            pp_water = psi_w * p;
        };
        ~BrentSolverResids(){};
 
        double call(double T) {
            double p_ws;
            if (T >= 273.16) {
                // Saturation pressure [Pa] using IF97 formulation
                p_ws = IF97::psat97(T);
            } else {
                // Sublimation pressure [Pa]
                p_ws = psub_Ice(T);
            }
            double f = f_factor(T, p);
            double pp_water_calc = f * p_ws;
            double psi_w_calc = pp_water_calc / p;
            return (psi_w_calc - psi_w) / psi_w;
        }
    };
 
    BrentSolverResids Resids(psi_w, p);
 
    try {
        T = CoolProp::Secant(Resids, T_guess, 0.1, 1e-7, 100);
        if (!ValidNumber(T)) {
            throw CoolProp::ValueError("Intermediate value for Tdb is invalid");
        }
    } catch (std::exception& /* e */) {
        T = CoolProp::Brent(Resids, 100, 640, 1e-15, 1e-10, 100);
    }
 
    return T;
}
 
//static double Brent_Tdb_at_saturated_W(double psi_w, double p, double T_min, double T_max)
//{
//    double T;
//    class BrentSolverResids : public CoolProp::FuncWrapper1D
//    {
//    private:
//        double pp_water, psi_w, p;
//    public:
//        BrentSolverResids(double psi_w, double p) : psi_w(psi_w), p(p) { pp_water = psi_w*p; };
//        ~BrentSolverResids(){};
//
//        double call(double T){
//            double p_ws;
//            if (T>=273.16){
//                // Saturation pressure [Pa] using IF97 formulation
//                p_ws= IF97::psat97(T);
//            }
//            else{
//                // Sublimation pressure [Pa]
//                p_ws=psub_Ice(T);
//            }
//            double f = f_factor(T, p);
//            double pp_water_calc = f*p_ws;
//            double psi_w_calc = pp_water_calc/p;
//            return (psi_w_calc - psi_w)/psi_w;
//        }
//    };
//
//    BrentSolverResids Resids(psi_w, p);
//
//    T = CoolProp::Brent(Resids, 150, 350, 1e-16, 1e-7, 100);
//
//    return T;
//}
 
/*
static double Secant_HAProps_T(const std::string &OutputName, const std::string &Input1Name, double Input1, const std::string &Input2Name, double Input2, double TargetVal, double T_guess)
{
    // Use a secant solve in order to yield a target output value for HAProps by altering T
    double x1=0,x2=0,x3=0,y1=0,y2=0,eps=5e-7,f=999,T=300,change;
    int iter=1;
    std::string sT = "T";
 
    while ((iter<=3 || (std::abs(f)>eps && std::abs(change)>1e-10)) && iter<100)
    {
        if (iter==1){x1=T_guess; T=x1;}
        if (iter==2){x2=T_guess+0.001; T=x2;}
        if (iter>2) {T=x2;}
            f=HAPropsSI(OutputName,sT,T,Input1Name,Input1,Input2Name,Input2)-TargetVal;
        if (iter==1){y1=f;}
        if (iter>1)
        {
            y2=f;
            x3=x2-y2/(y2-y1)*(x2-x1);
            change = y2/(y2-y1)*(x2-x1);
            y1=y2; x1=x2; x2=x3;
        }
        iter=iter+1;
    }
    return T;
}
*/
 
// Mixed virial components
static double _B_aw(double T) {
    check_fluid_instantiation();
    // Returns value in m^3/mol
    double a[] = {0, 0.665687e2, -0.238834e3, -0.176755e3};
    double b[] = {0, -0.237, -1.048, -3.183};
    double rhobarstar = 1000, Tstar = 100;
    return 1 / rhobarstar * (a[1] * pow(T / Tstar, b[1]) + a[2] * pow(T / Tstar, b[2]) + a[3] * pow(T / Tstar, b[3]))
           / 1000;  // Correlation has units of dm^3/mol, to convert to m^3/mol, divide by 1000
}
 
static double _dB_aw_dT(double T) {
    check_fluid_instantiation();
    // Returns value in m^3/mol
    double a[] = {0, 0.665687e2, -0.238834e3, -0.176755e3};
    double b[] = {0, -0.237, -1.048, -3.183};
    double rhobarstar = 1000, Tstar = 100;
    return 1 / rhobarstar / Tstar
           * (a[1] * b[1] * pow(T / Tstar, b[1] - 1) + a[2] * b[2] * pow(T / Tstar, b[2] - 1) + a[3] * b[3] * pow(T / Tstar, b[3] - 1))
           / 1000;  // Correlation has units of dm^3/mol/K, to convert to m^3/mol/K, divide by 1000
}
 
static double _C_aaw(double T) {
    check_fluid_instantiation();
    // Function return has units of m^6/mol^2
    double c[] = {0, 0.482737e3, 0.105678e6, -0.656394e8, 0.294442e11, -0.319317e13};
    double rhobarstar = 1000, Tstar = 1, summer = 0;
    int i;
    for (i = 1; i <= 5; i++) {
        summer += c[i] * pow(T / Tstar, 1 - i);
    }
    return 1.0 / rhobarstar / rhobarstar * summer / 1e6;  // Correlation has units of dm^6/mol^2, to convert to m^6/mol^2 divide by 1e6
}
 
static double _dC_aaw_dT(double T) {
    check_fluid_instantiation();
    // Function return in units of m^6/mol^2/K
    double c[] = {0, 0.482737e3, 0.105678e6, -0.656394e8, 0.294442e11, -0.319317e13};
    double rhobarstar = 1000, Tstar = 1, summer = 0;
    int i;
    for (i = 2; i <= 5; i++) {
        summer += c[i] * (1 - i) * pow(T / Tstar, -i);
    }
    return 1.0 / rhobarstar / rhobarstar / Tstar * summer / 1e6;  // Correlation has units of dm^6/mol^2/K, to convert to m^6/mol^2/K divide by 1e6
}
 
static double _C_aww(double T) {
    check_fluid_instantiation();
    // Function return has units of m^6/mol^2
    double d[] = {0, -0.1072887e2, 0.347804e4, -0.383383e6, 0.334060e8};
    double rhobarstar = 1, Tstar = 1, summer = 0;
    int i;
    for (i = 1; i <= 4; i++) {
        summer += d[i] * pow(T / Tstar, 1 - i);
    }
    return -1.0 / rhobarstar / rhobarstar * exp(summer) / 1e6;  // Correlation has units of dm^6/mol^2, to convert to m^6/mol^2 divide by 1e6
}
 
static double _dC_aww_dT(double T) {
    check_fluid_instantiation();
    // Function return in units of m^6/mol^2/K
    double d[] = {0, -0.1072887e2, 0.347804e4, -0.383383e6, 0.334060e8};
    double rhobarstar = 1, Tstar = 1, summer1 = 0, summer2 = 0;
    int i;
    for (i = 1; i <= 4; i++) {
        summer1 += d[i] * pow(T / Tstar, 1 - i);
    }
    for (i = 2; i <= 4; i++) {
        summer2 += d[i] * (1 - i) * pow(T / Tstar, -i);
    }
    return -1.0 / rhobarstar / rhobarstar / Tstar * exp(summer1) * summer2
           / 1e6;  // Correlation has units of dm^6/mol^2/K, to convert to m^6/mol^2/K divide by 1e6
}
 
static double B_m(double T, double psi_w) {
    // Bm has units of m^3/mol
    double B_aa, B_ww, B_aw;
    if (FlagUseVirialCorrelations == 1) {
        B_aa = -0.000721183853646 + 1.142682674467e-05 * T - 8.838228412173e-08 * pow(T, 2) + 4.104150642775e-10 * pow(T, 3)
               - 1.192780880645e-12 * pow(T, 4) + 2.134201312070e-15 * pow(T, 5) - 2.157430412913e-18 * pow(T, 6) + 9.453830907795e-22 * pow(T, 7);
        B_ww = -10.8963128394 + 2.439761625859e-01 * T - 2.353884845100e-03 * pow(T, 2) + 1.265864734412e-05 * pow(T, 3)
               - 4.092175700300e-08 * pow(T, 4) + 7.943925411344e-11 * pow(T, 5) - 8.567808759123e-14 * pow(T, 6) + 3.958203548563e-17 * pow(T, 7);
    } else {
        B_aa = B_Air(T);    // [m^3/mol]
        B_ww = B_Water(T);  // [m^3/mol]
    }
 
    B_aw = _B_aw(T);  // [m^3/mol]
    return pow(1 - psi_w, 2) * B_aa + 2 * (1 - psi_w) * psi_w * B_aw + psi_w * psi_w * B_ww;
}
 
static double dB_m_dT(double T, double psi_w) {
    //dBm_dT has units of m^3/mol/K
    double dB_dT_aa, dB_dT_ww, dB_dT_aw;
    if (FlagUseVirialCorrelations) {
        dB_dT_aa = 1.65159324353e-05 - 3.026130954749e-07 * T + 2.558323847166e-09 * pow(T, 2) - 1.250695660784e-11 * pow(T, 3)
                   + 3.759401946106e-14 * pow(T, 4) - 6.889086380822e-17 * pow(T, 5) + 7.089457032972e-20 * pow(T, 6)
                   - 3.149942145971e-23 * pow(T, 7);
        dB_dT_ww = 0.65615868848 - 1.487953162679e-02 * T + 1.450134660689e-04 * pow(T, 2) - 7.863187630094e-07 * pow(T, 3)
                   + 2.559556607010e-09 * pow(T, 4) - 4.997942221914e-12 * pow(T, 5) + 5.417678681513e-15 * pow(T, 6)
                   - 2.513856275241e-18 * pow(T, 7);
    } else {
        dB_dT_aa = dBdT_Air(T);    // [m^3/mol]
        dB_dT_ww = dBdT_Water(T);  // [m^3/mol]
    }
    dB_dT_aw = _dB_aw_dT(T);  // [m^3/mol]
    return pow(1 - psi_w, 2) * dB_dT_aa + 2 * (1 - psi_w) * psi_w * dB_dT_aw + psi_w * psi_w * dB_dT_ww;
}
 
static double C_m(double T, double psi_w) {
    // Cm has units of m^6/mol^2
    double C_aaa, C_www, C_aww, C_aaw;
    if (FlagUseVirialCorrelations) {
        C_aaa = 1.29192158975e-08 - 1.776054020409e-10 * T + 1.359641176409e-12 * pow(T, 2) - 6.234878717893e-15 * pow(T, 3)
                + 1.791668730770e-17 * pow(T, 4) - 3.175283581294e-20 * pow(T, 5) + 3.184306136120e-23 * pow(T, 6) - 1.386043640106e-26 * pow(T, 7);
        C_www = -0.580595811134 + 1.365952762696e-02 * T - 1.375986293288e-04 * pow(T, 2) + 7.687692259692e-07 * pow(T, 3)
                - 2.571440816920e-09 * pow(T, 4) + 5.147432221082e-12 * pow(T, 5) - 5.708156494894e-15 * pow(T, 6) + 2.704605721778e-18 * pow(T, 7);
    } else {
        C_aaa = C_Air(T);    //[m^6/mol^2]
        C_www = C_Water(T);  //[m^6/mol^2]
    }
    C_aaw = _C_aaw(T);  //[m^6/mol^2]
    C_aww = _C_aww(T);  //[m^6/mol^2]
    return pow(1 - psi_w, 3) * C_aaa + 3 * pow(1 - psi_w, 2) * psi_w * C_aaw + 3 * (1 - psi_w) * psi_w * psi_w * C_aww + pow(psi_w, 3) * C_www;
}
 
static double dC_m_dT(double T, double psi_w) {
    // dCm_dT has units of m^6/mol^2/K
 
    double dC_dT_aaa, dC_dT_www, dC_dT_aww, dC_dT_aaw;
    // NDG for fluid EOS for virial terms
    if (FlagUseVirialCorrelations) {
        dC_dT_aaa = -2.46582342273e-10 + 4.425401935447e-12 * T - 3.669987371644e-14 * pow(T, 2) + 1.765891183964e-16 * pow(T, 3)
                    - 5.240097805744e-19 * pow(T, 4) + 9.502177003614e-22 * pow(T, 5) - 9.694252610339e-25 * pow(T, 6)
                    + 4.276261986741e-28 * pow(T, 7);
        dC_dT_www = 0.0984601196142 - 2.356713397262e-03 * T + 2.409113323685e-05 * pow(T, 2) - 1.363083778715e-07 * pow(T, 3)
                    + 4.609623799524e-10 * pow(T, 4) - 9.316416405390e-13 * pow(T, 5) + 1.041909136255e-15 * pow(T, 6)
                    - 4.973918480607e-19 * pow(T, 7);
    } else {
        dC_dT_aaa = dCdT_Air(T);    // [m^6/mol^2]
        dC_dT_www = dCdT_Water(T);  // [m^6/mol^2]
    }
    dC_dT_aaw = _dC_aaw_dT(T);  // [m^6/mol^2]
    dC_dT_aww = _dC_aww_dT(T);  // [m^6/mol^2]
    return pow(1 - psi_w, 3) * dC_dT_aaa + 3 * pow(1 - psi_w, 2) * psi_w * dC_dT_aaw + 3 * (1 - psi_w) * psi_w * psi_w * dC_dT_aww
           + pow(psi_w, 3) * dC_dT_www;
}
double HumidityRatio(double psi_w) {
    return psi_w * epsilon / (1 - psi_w);
}
 
static double HenryConstant(double T) {
    // Result has units of 1/Pa
    double p_ws, beta_N2, beta_O2, beta_Ar, beta_a, tau, Tr, Tc = 647.096;
    Tr = T / Tc;
    tau = 1 - Tr;
    p_ws = IF97::psat97(T);  //[Pa]
    beta_N2 = p_ws * exp(-9.67578 / Tr + 4.72162 * pow(tau, 0.355) / Tr + 11.70585 * pow(Tr, -0.41) * exp(tau));
    beta_O2 = p_ws * exp(-9.44833 / Tr + 4.43822 * pow(tau, 0.355) / Tr + 11.42005 * pow(Tr, -0.41) * exp(tau));
    beta_Ar = p_ws * exp(-8.40954 / Tr + 4.29587 * pow(tau, 0.355) / Tr + 10.52779 * pow(Tr, -0.41) * exp(tau));
    beta_a = 1 / (0.7812 / beta_N2 + 0.2095 / beta_O2 + 0.0093 / beta_Ar);
    return 1 / (1.01325 * beta_a);
}
double isothermal_compressibility(double T, double p) {
    double k_T;
 
    if (T > 273.16) {
        if (FlagUseIsothermCompressCorrelation) {
            k_T = 1.6261876614E-22 * pow(T, 6) - 3.3016385196E-19 * pow(T, 5) + 2.7978984577E-16 * pow(T, 4) - 1.2672392901E-13 * pow(T, 3)
                  + 3.2382864853E-11 * pow(T, 2) - 4.4318979503E-09 * T + 2.5455947289E-07;
        } else {
            // Use IF97 to do the P,T call
            WaterIF97->update(CoolProp::PT_INPUTS, p, T);
            Water->update(CoolProp::DmassT_INPUTS, WaterIF97->rhomass(), T);
            k_T = Water->keyed_output(CoolProp::iisothermal_compressibility);
        }
    } else {
        k_T = IsothermCompress_Ice(T, p);  //[1/Pa]
    }
    return k_T;
}
double f_factor(double T, double p) {
    double f = 0, Rbar = 8.314371, eps = 1e-8;
    double x1 = 0, x2 = 0, x3, y1 = 0, y2, change = _HUGE;
    int iter = 1;
    double p_ws, B_aa, B_aw, B_ww, C_aaa, C_aaw, C_aww, C_www, line1, line2, line3, line4, line5, line6, line7, line8, k_T, beta_H, LHS, RHS, psi_ws,
      vbar_ws;
 
    // Saturation pressure [Pa]
    if (T > 273.16) {
        // It is liquid water
        Water->update(CoolProp::QT_INPUTS, 0, T);
        p_ws = Water->p();
        vbar_ws = 1.0 / Water->keyed_output(CoolProp::iDmolar);  //[m^3/mol]
        beta_H = HenryConstant(T);                               //[1/Pa]
    } else {
        // It is ice
        p_ws = psub_Ice(T);  // [Pa]
        beta_H = 0;
        vbar_ws = dg_dp_Ice(T, p) * MM_Water();  //[m^3/mol]
    }
 
    k_T = isothermal_compressibility(T, p);  //[1/Pa]
 
    // Hermann: In the iteration process of the enhancement factor in Eq. (3.25), k_T is set to zero for pw,s (T) > p.
    if (p_ws > p) {
        k_T = 0;
        beta_H = 0;
    }
 
    // NDG for fluid EOS for virial terms
    if (FlagUseVirialCorrelations) {
        B_aa = -0.000721183853646 + 1.142682674467e-05 * T - 8.838228412173e-08 * pow(T, 2) + 4.104150642775e-10 * pow(T, 3)
               - 1.192780880645e-12 * pow(T, 4) + 2.134201312070e-15 * pow(T, 5) - 2.157430412913e-18 * pow(T, 6) + 9.453830907795e-22 * pow(T, 7);
        B_ww = -10.8963128394 + 2.439761625859e-01 * T - 2.353884845100e-03 * pow(T, 2) + 1.265864734412e-05 * pow(T, 3)
               - 4.092175700300e-08 * pow(T, 4) + 7.943925411344e-11 * pow(T, 5) - 8.567808759123e-14 * pow(T, 6) + 3.958203548563e-17 * pow(T, 7);
        C_aaa = 1.29192158975e-08 - 1.776054020409e-10 * T + 1.359641176409e-12 * pow(T, 2) - 6.234878717893e-15 * pow(T, 3)
                + 1.791668730770e-17 * pow(T, 4) - 3.175283581294e-20 * pow(T, 5) + 3.184306136120e-23 * pow(T, 6) - 1.386043640106e-26 * pow(T, 7);
        C_www = -0.580595811134 + 1.365952762696e-02 * T - 1.375986293288e-04 * pow(T, 2) + 7.687692259692e-07 * pow(T, 3)
                - 2.571440816920e-09 * pow(T, 4) + 5.147432221082e-12 * pow(T, 5) - 5.708156494894e-15 * pow(T, 6) + 2.704605721778e-18 * pow(T, 7);
    } else {
        B_aa = B_Air(T);     // [m^3/mol]
        C_aaa = C_Air(T);    // [m^6/mol^2]
        B_ww = B_Water(T);   // [m^3/mol]
        C_www = C_Water(T);  // [m^6/mol^2]
    }
    B_aw = _B_aw(T);    //[m^3/mol]
    C_aaw = _C_aaw(T);  //[m^6/mol^2]
    C_aww = _C_aww(T);  //[m^6/mol^2]
 
    // Use a little secant loop to find f iteratively
    // Start out with a guess value of 1 for f
    while ((iter <= 3 || change > eps) && iter < 100) {
        if (iter == 1) {
            x1 = 1.00;
            f = x1;
        }
        if (iter == 2) {
            x2 = 1.00 + 0.000001;
            f = x2;
        }
        if (iter > 2) {
            f = x2;
        }
 
        // Left-hand-side of Equation 3.25
        LHS = log(f);
        // Eqn 3.24
        psi_ws = f * p_ws / p;
 
        // All the terms forming the RHS of Eqn 3.25
        line1 = ((1 + k_T * p_ws) * (p - p_ws) - k_T * (p * p - p_ws * p_ws) / 2.0) / (Rbar * T) * vbar_ws + log(1 - beta_H * (1 - psi_ws) * p);
        line2 = pow(1 - psi_ws, 2) * p / (Rbar * T) * B_aa - 2 * pow(1 - psi_ws, 2) * p / (Rbar * T) * B_aw
                - (p - p_ws - pow(1 - psi_ws, 2) * p) / (Rbar * T) * B_ww;
        line3 = pow(1 - psi_ws, 3) * p * p / pow(Rbar * T, 2) * C_aaa
                + (3 * pow(1 - psi_ws, 2) * (1 - 2 * (1 - psi_ws)) * p * p) / (2 * pow(Rbar * T, 2)) * C_aaw;
        line4 = -3 * pow(1 - psi_ws, 2) * psi_ws * p * p / pow(Rbar * T, 2) * C_aww
                - ((3 - 2 * psi_ws) * psi_ws * psi_ws * p * p - p_ws * p_ws) / (2 * pow(Rbar * T, 2)) * C_www;
        line5 = -(pow(1 - psi_ws, 2) * (-2 + 3 * psi_ws) * psi_ws * p * p) / pow(Rbar * T, 2) * B_aa * B_ww;
        line6 = -(2 * pow(1 - psi_ws, 3) * (-1 + 3 * psi_ws) * p * p) / pow(Rbar * T, 2) * B_aa * B_aw;
        line7 = (6 * pow(1 - psi_ws, 2) * psi_ws * psi_ws * p * p) / pow(Rbar * T, 2) * B_ww * B_aw
                - (3 * pow(1 - psi_ws, 4) * p * p) / (2 * pow(Rbar * T, 2)) * B_aa * B_aa;
        line8 = -(2 * pow(1 - psi_ws, 2) * psi_ws * (-2 + 3 * psi_ws) * p * p) / pow(Rbar * T, 2) * B_aw * B_aw
                - (p_ws * p_ws - (4 - 3 * psi_ws) * pow(psi_ws, 3) * p * p) / (2 * pow(Rbar * T, 2)) * B_ww * B_ww;
        RHS = line1 + line2 + line3 + line4 + line5 + line6 + line7 + line8;
 
        if (iter == 1) {
            y1 = LHS - RHS;
        }
        if (iter > 1) {
            y2 = LHS - RHS;
            x3 = x2 - y2 / (y2 - y1) * (x2 - x1);
            change = std::abs(y2 / (y2 - y1) * (x2 - x1));
            y1 = y2;
            x1 = x2;
            x2 = x3;
        }
        iter = iter + 1;
    }
    if (f >= 1.0)
        return f;
    else
        return 1.0;
}
void HAHelp(void) {
    printf("Sorry, Need to update!");
}
int returnHumAirCode(const char* Code) {
    if (!strcmp(Code, "GIVEN_TDP"))
        return GIVEN_TDP;
    else if (!strcmp(Code, "GIVEN_HUMRAT"))
        return GIVEN_HUMRAT;
    else if (!strcmp(Code, "GIVEN_TWB"))
        return GIVEN_TWB;
    else if (!strcmp(Code, "GIVEN_RH"))
        return GIVEN_RH;
    else if (!strcmp(Code, "GIVEN_ENTHALPY"))
        return GIVEN_ENTHALPY;
    else {
        fprintf(stderr, "Code to returnHumAirCode in HumAir.c [%s] not understood", Code);
        return -1;
    }
}
double Viscosity(double T, double p, double psi_w) {
    /*
    Using the method of:
 
    P.T. Tsilingiris, 2009, Thermophysical and transport properties of humid air at temperature range between 0 and 100 oC, Energy Conversion and Management, 49, 1098-1010
 
    but using the detailed measurements for pure fluid from IAPWS formulations
    */
    double mu_a, mu_w, Phi_av, Phi_va, Ma, Mw;
    Mw = MM_Water();
    Ma = MM_Air();
    // Viscosity of dry air at dry-bulb temp and total pressure
    Air->update(CoolProp::PT_INPUTS, p, T);
    mu_a = Air->keyed_output(CoolProp::iviscosity);
    // Saturated water vapor of pure water at total pressure
    Water->update(CoolProp::PQ_INPUTS, p, 1);
    mu_w = Water->keyed_output(CoolProp::iviscosity);
    Phi_av = sqrt(2.0) / 4.0 * pow(1 + Ma / Mw, -0.5) * pow(1 + sqrt(mu_a / mu_w) * pow(Mw / Ma, 0.25), 2);  //[-]
    Phi_va = sqrt(2.0) / 4.0 * pow(1 + Mw / Ma, -0.5) * pow(1 + sqrt(mu_w / mu_a) * pow(Ma / Mw, 0.25), 2);  //[-]
    return (1 - psi_w) * mu_a / ((1 - psi_w) + psi_w * Phi_av) + psi_w * mu_w / (psi_w + (1 - psi_w) * Phi_va);
}
double Conductivity(double T, double p, double psi_w) {
    /*
    Using the method of:
 
    P.T. Tsilingiris, 2009, Thermophysical and transport properties of humid air at temperature range between 0 and 100 oC, Energy Conversion and Management, 49, 1098-1010
 
    but using the detailed measurements for pure fluid from IAPWS formulations
    */
    double mu_a, mu_w, k_a, k_w, Phi_av, Phi_va, Ma, Mw;
    Mw = MM_Water();
    Ma = MM_Air();
 
    // Viscosity of dry air at dry-bulb temp and total pressure
    Air->update(CoolProp::PT_INPUTS, p, T);
    mu_a = Air->keyed_output(CoolProp::iviscosity);
    k_a = Air->keyed_output(CoolProp::iconductivity);
    // Conductivity of saturated pure water at total pressure
    Water->update(CoolProp::PQ_INPUTS, p, 1);
    mu_w = Water->keyed_output(CoolProp::iviscosity);
    k_w = Water->keyed_output(CoolProp::iconductivity);
    Phi_av = sqrt(2.0) / 4.0 * pow(1 + Ma / Mw, -0.5) * pow(1 + sqrt(mu_a / mu_w) * pow(Mw / Ma, 0.25), 2);  //[-]
    Phi_va = sqrt(2.0) / 4.0 * pow(1 + Mw / Ma, -0.5) * pow(1 + sqrt(mu_w / mu_a) * pow(Ma / Mw, 0.25), 2);  //[-]
    return (1 - psi_w) * k_a / ((1 - psi_w) + psi_w * Phi_av) + psi_w * k_w / (psi_w + (1 - psi_w) * Phi_va);
}
double MolarVolume(double T, double p, double psi_w) {
    // Output in m^3/mol_ha
    int iter;
    double v_bar0, v_bar = 0, R_bar = 8.314472, x1 = 0, x2 = 0, x3, y1 = 0, y2, resid, eps, Bm, Cm;
 
    // -----------------------------
    // Iteratively find molar volume
    // -----------------------------
 
    // Start by assuming it is an ideal gas to get initial guess
    v_bar0 = R_bar * T / p;  // [m^3/mol_ha]
 
    // Bring outside the loop since not a function of v_bar
    Bm = B_m(T, psi_w);
    Cm = C_m(T, psi_w);
 
    iter = 1;
    eps = 1e-11;
    resid = 999;
    while ((iter <= 3 || std::abs(resid) > eps) && iter < 100) {
        if (iter == 1) {
            x1 = v_bar0;
            v_bar = x1;
        }
        if (iter == 2) {
            x2 = v_bar0 + 0.000001;
            v_bar = x2;
        }
        if (iter > 2) {
            v_bar = x2;
        }
 
        // want v_bar in m^3/mol_ha and R_bar in J/mol_ha-K
        resid = (p - (R_bar)*T / v_bar * (1 + Bm / v_bar + Cm / (v_bar * v_bar))) / p;
 
        if (iter == 1) {
            y1 = resid;
        }
        if (iter > 1) {
            y2 = resid;
            x3 = x2 - y2 / (y2 - y1) * (x2 - x1);
            y1 = y2;
            x1 = x2;
            x2 = x3;
        }
        iter = iter + 1;
    }
    return v_bar;  // [J/mol_ha]
}
double Pressure(double T, double v_bar, double psi_w) {
    double R_bar = 8.314472;
    double Bm = B_m(T, psi_w);
    double Cm = C_m(T, psi_w);
    return (R_bar)*T / v_bar * (1 + Bm / v_bar + Cm / (v_bar * v_bar));
}
double IdealGasMolarEnthalpy_Water(double T, double p) {
    double hbar_w_0, tau, hbar_w;
    // Ideal-Gas contribution to enthalpy of water
    hbar_w_0 = -0.01102303806;  //[J/mol]
 
    // Calculate the offset in the water enthalpy from a given state with a known (desired) enthalpy
    double Tref = 473.15, vmolarref = 0.038837428192186184, href = 51885.582451893446;
    Water->update(CoolProp::DmolarT_INPUTS, 1 / vmolarref, Tref);
    double tauref = Water->keyed_output(CoolProp::iT_reducing) / Tref;  //[no units]
    double href_EOS = R_bar * Tref * (1 + tauref * Water->keyed_output(CoolProp::idalpha0_dtau_constdelta));
    double hoffset = href - href_EOS;
 
    tau = Water->keyed_output(CoolProp::iT_reducing) / T;
    Water->specify_phase(CoolProp::iphase_gas);
    Water->update_DmolarT_direct(p / (R_bar * T), T);
    Water->unspecify_phase();
    hbar_w = hbar_w_0 + hoffset + R_bar * T * (1 + tau * Water->keyed_output(CoolProp::idalpha0_dtau_constdelta));
    return hbar_w;
}
double IdealGasMolarEntropy_Water(double T, double p) {
 
    // Serious typo in RP-1485 - should use total pressure rather than
    // reference pressure in density calculation for water vapor molar entropy
 
    double sbar_w, tau, R_bar;
    R_bar = 8.314371;  //[J/mol/K]
 
    // Calculate the offset in the water entropy from a given state with a known (desired) entropy
    double Tref = 473.15, pref = 101325, sref = 141.18297895840303;
    Water->update(CoolProp::DmolarT_INPUTS, pref / (R_bar * Tref), Tref);
    double tauref = Water->keyed_output(CoolProp::iT_reducing) / Tref;  //[no units]
    double sref_EOS = R_bar * (tauref * Water->keyed_output(CoolProp::idalpha0_dtau_constdelta) - Water->keyed_output(CoolProp::ialpha0));
    double soffset = sref - sref_EOS;
 
    // Now calculate it based on the given inputs
    tau = Water->keyed_output(CoolProp::iT_reducing) / T;
    Water->specify_phase(CoolProp::iphase_gas);
    Water->update(CoolProp::DmolarT_INPUTS, p / (R_bar * T), T);
    Water->unspecify_phase();
    sbar_w =
      soffset + R_bar * (tau * Water->keyed_output(CoolProp::idalpha0_dtau_constdelta) - Water->keyed_output(CoolProp::ialpha0));  //[kJ/kmol/K]
    return sbar_w;
}
double IdealGasMolarEnthalpy_Air(double T, double p) {
    double hbar_a_0, tau, hbar_a, R_bar_Lemmon;
    // Ideal-Gas contribution to enthalpy of air
    hbar_a_0 = -7914.149298;  //[J/mol]
 
    R_bar_Lemmon = 8.314510;  //[J/mol/K]
    // Calculate the offset in the air enthalpy from a given state with a known (desired) enthalpy
    double Tref = 473.15, vmolarref = 0.038837428192186184, href = 13782.240592933371;
    Air->update(CoolProp::DmolarT_INPUTS, 1 / vmolarref, Tref);
    double tauref = 132.6312 / Tref;  //[no units]
    double href_EOS = R_bar_Lemmon * Tref * (1 + tauref * Air->keyed_output(CoolProp::idalpha0_dtau_constdelta));
    double hoffset = href - href_EOS;
 
    // Tj is given by 132.6312 K
    tau = 132.6312 / T;
    // Now calculate it based on the given inputs
    Air->specify_phase(CoolProp::iphase_gas);
    Air->update_DmolarT_direct(p / (R_bar * T), T);
    Air->unspecify_phase();
    hbar_a = hbar_a_0 + hoffset + R_bar_Lemmon * T * (1 + tau * Air->keyed_output(CoolProp::idalpha0_dtau_constdelta));  //[J/mol]
    return hbar_a;
}
double IdealGasMolarEntropy_Air(double T, double vmolar_a) {
    double sbar_0_Lem, tau, sbar_a, R_bar_Lemmon = 8.314510, T0 = 273.15, p0 = 101325, vmolar_a_0;
 
    // Ideal-Gas contribution to entropy of air
    sbar_0_Lem = -196.1375815;  //[J/mol/K]
 
    vmolar_a_0 = R_bar_Lemmon * T0 / p0;  //[m^3/mol]
 
    // Calculate the offset in the air entropy from a given state with a known (desired) entropy
    double Tref = 473.15, vmolarref = 0.038837605637863169, sref = 212.22365283759311;
    Air->update(CoolProp::DmolarT_INPUTS, 1 / vmolar_a_0, Tref);
    double tauref = 132.6312 / Tref;  //[no units]
    double sref_EOS = R_bar_Lemmon * (tauref * Air->keyed_output(CoolProp::idalpha0_dtau_constdelta) - Air->keyed_output(CoolProp::ialpha0))
                      + R_bar_Lemmon * log(vmolarref / vmolar_a_0);
    double soffset = sref - sref_EOS;
 
    // Tj and rhoj are given by 132.6312 and 302.5507652 respectively
    tau = 132.6312 / T;  //[no units]
 
    Air->specify_phase(CoolProp::iphase_gas);
    Air->update_DmolarT_direct(1 / vmolar_a_0, T);
    Air->unspecify_phase();
    sbar_a = sbar_0_Lem + soffset
             + R_bar_Lemmon * (tau * Air->keyed_output(CoolProp::idalpha0_dtau_constdelta) - Air->keyed_output(CoolProp::ialpha0))
             + R_bar_Lemmon * log(vmolar_a / vmolar_a_0);  //[J/mol/K]
 
    return sbar_a;  //[J/mol[air]/K]
}
 
double MolarEnthalpy(double T, double p, double psi_w, double vmolar) {
    // In units of kJ/kmol
 
    // vbar (molar volume) in m^3/kg
 
    double hbar_0, hbar_a, hbar_w, hbar, R_bar = 8.314472;
    // ----------------------------------------
    //      Enthalpy
    // ----------------------------------------
    // Constant for enthalpy
    // Not clear why getting rid of this term yields the correct values in the table, but enthalpies are equal to an additive constant, so not a big deal
    hbar_0 = 0.0;  //2.924425468; //[kJ/kmol]
 
    if (FlagUseIdealGasEnthalpyCorrelations) {
        hbar_w = 2.7030251618E-03 * T * T + 3.1994361015E+01 * T + 3.6123174929E+04;
        hbar_a = 9.2486716590E-04 * T * T + 2.8557221776E+01 * T - 7.8616129429E+03;
    } else {
        hbar_w = IdealGasMolarEnthalpy_Water(T, p);  // [J/mol[water]]
        hbar_a = IdealGasMolarEnthalpy_Air(T, p);    // [J/mol[dry air]]
    }
 
    // If the user changes the reference state for water or Air, we need to ensure that the values returned from this
    // function are always the same as the formulation expects.  Therefore we can use a state point for which we know what the
    // enthalpy should be and then correct the calculated values for the enthalpy.
 
    hbar = hbar_0 + (1 - psi_w) * hbar_a + psi_w * hbar_w
           + R_bar * T * ((B_m(T, psi_w) - T * dB_m_dT(T, psi_w)) / vmolar + (C_m(T, psi_w) - T / 2.0 * dC_m_dT(T, psi_w)) / (vmolar * vmolar));
    return hbar;  //[J/mol_ha]
}
double MolarInternalEnergy(double T, double p, double psi_w, double vmolar) {
    return MolarEnthalpy(T, p, psi_w, vmolar) - p * vmolar;
}
double MassEnthalpy_per_kgha(double T, double p, double psi_w) {
    double vmolar = MolarVolume(T, p, psi_w);                   //[m^3/mol_ha]
    double h_bar = MolarEnthalpy(T, p, psi_w, vmolar);          //[J/mol_ha]
    double M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;  // [kg_ha/mol_ha]
    return h_bar / M_ha;                                        //[J/kg_ha]
}
double MassEnthalpy_per_kgda(double T, double p, double psi_w) {
    double vmolar = MolarVolume(T, p, psi_w);                   //[m^3/mol_ha]
    double h_bar = MolarEnthalpy(T, p, psi_w, vmolar);          //[J/mol_ha]
    double W = HumidityRatio(psi_w);                            //[kg_w/kg_da] // (1+W) is kg_ha/kg_da
    double M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;  // [kg_ha/mol_ha]
    return h_bar * (1 + W) / M_ha;                              //[J/kg_da]
}
double MassInternalEnergy_per_kgha(double T, double p, double psi_w) {
    double vmolar = MolarVolume(T, p, psi_w);                   //[m^3/mol_ha]
    double h_bar = MolarInternalEnergy(T, p, psi_w, vmolar);    //[J/mol_ha]
    double M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;  // [kg_ha/mol_ha]
    return h_bar / M_ha;                                        //[J/kg_ha]
}
double MassInternalEnergy_per_kgda(double T, double p, double psi_w) {
    double vmolar = MolarVolume(T, p, psi_w);                   //[m^3/mol_ha]
    double h_bar = MolarInternalEnergy(T, p, psi_w, vmolar);    //[J/mol_da]
    double W = HumidityRatio(psi_w);                            //[kg_w/kg_da] // (1+W) is kg_ha/kg_da
    double M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;  // [kg_ha/mol_ha]
    return h_bar * (1 + W) / M_ha;                              //[J/kg_da]
}
 
double MolarEntropy(double T, double p, double psi_w, double v_bar) {
 
    // vbar (molar volume) in m^3/mol
    double x1 = 0, x2 = 0, x3 = 0, y1 = 0, y2 = 0, eps = 1e-8, f = 999, R_bar_Lem = 8.314510;
    int iter = 1;
    double sbar_0, sbar_a = 0, sbar_w = 0, sbar, R_bar = 8.314472, vbar_a_guess, Baa, Caaa, vbar_a = 0;
    double B, dBdT, C, dCdT;
    // Constant for entropy
    sbar_0 = 0.02366427495;  //[J/mol/K]
 
    // Calculate vbar_a, the molar volume of dry air
    // B_m, C_m, etc. functions take care of the units
    Baa = B_m(T, 0);
    B = B_m(T, psi_w);
    dBdT = dB_m_dT(T, psi_w);
    Caaa = C_m(T, 0);
    C = C_m(T, psi_w);
    dCdT = dC_m_dT(T, psi_w);
 
    vbar_a_guess = R_bar_Lem * T / p;  //[m^3/mol] since p in [Pa]
 
    while ((iter <= 3 || std::abs(f) > eps) && iter < 100) {
        if (iter == 1) {
            x1 = vbar_a_guess;
            vbar_a = x1;
        }
        if (iter == 2) {
            x2 = vbar_a_guess + 0.001;
            vbar_a = x2;
        }
        if (iter > 2) {
            vbar_a = x2;
        }
        f = R_bar_Lem * T / vbar_a * (1 + Baa / vbar_a + Caaa / pow(vbar_a, 2)) - p;
        if (iter == 1) {
            y1 = f;
        }
        if (iter > 1) {
            y2 = f;
            x3 = x2 - y2 / (y2 - y1) * (x2 - x1);
            y1 = y2;
            x1 = x2;
            x2 = x3;
        }
        iter = iter + 1;
    }
 
    if (FlagUseIdealGasEnthalpyCorrelations) {
        std::cout << "Not implemented" << std::endl;
    } else {
        sbar_w = IdealGasMolarEntropy_Water(T, p);
        sbar_a = IdealGasMolarEntropy_Air(T, vbar_a);
    }
    if (psi_w != 0) {
        sbar = sbar_0 + (1 - psi_w) * sbar_a + psi_w * sbar_w
               - R_bar * ((B + T * dBdT) / v_bar + (C + T * dCdT) / (2 * pow(v_bar, 2)) + (1 - psi_w) * log(1 - psi_w) + psi_w * log(psi_w));
    } else {
        sbar = sbar_0 + sbar_a - R_bar * ((B + T * dBdT) / v_bar + (C + T * dCdT) / (2 * pow(v_bar, 2)));
    }
    return sbar;  //[J/mol_ha/K]
}
 
double MassEntropy_per_kgha(double T, double p, double psi_w) {
    double vmolar = MolarVolume(T, p, psi_w);                   //[m^3/mol_ha]
    double s_bar = MolarEntropy(T, p, psi_w, vmolar);           //[J/mol_ha/K]
    double M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;  // [kg_ha/mol_ha]
    return s_bar / M_ha;                                        //[J/kg_ha/K]
}
double MassEntropy_per_kgda(double T, double p, double psi_w) {
    double vmolar = MolarVolume(T, p, psi_w);                   //[m^3/mol_ha]
    double s_bar = MolarEntropy(T, p, psi_w, vmolar);           //[J/mol_ha/K]
    double M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;  // [kg_ha/mol_ha]
    double W = HumidityRatio(psi_w);                            //[kg_w/kg_da] // (1+W) is kg_ha/kg_da
    return s_bar * (1 + W) / M_ha;                              //[J/kg_da/K]
}
 
double DewpointTemperature(double T, double p, double psi_w) {
    int iter;
    double p_w, eps, resid, Tdp = 0, x1 = 0, x2 = 0, x3, y1 = 0, y2, T0;
    double p_ws_dp, f_dp;
 
    // Make sure it isn't dry air, return an impossible temperature otherwise
    if ((1 - psi_w) < 1e-16) {
        return -1;
    }
    // ------------------------------------------
    // Iteratively find the dewpoint temperature
    // ------------------------------------------
 
    // The highest dewpoint temperature possible is the dry-bulb temperature.
    // When they are equal, the air is saturated (R=1)
 
    p_w = psi_w * p;
 
    // 611.65... is the triple point pressure of water in Pa
    if (p_w > 611.6547241637944) {
        T0 = IF97::Tsat97(p) - 1;
    } else {
        T0 = 268;
    }
    // A good guess for Tdp is that enhancement factor is unity, which yields
    // p_w_s = p_w, and get guess for T from saturation temperature
 
    iter = 1;
    eps = 1e-5;
    resid = 999;
    while ((iter <= 3 || std::abs(resid) > eps) && iter < 100) {
        if (iter == 1) {
            x1 = T0;
            Tdp = x1;
        }
        if (iter == 2) {
            x2 = x1 + 0.1;
            Tdp = x2;
        }
        if (iter > 2) {
            Tdp = x2;
        }
 
        if (Tdp >= 273.16) {
            // Saturation pressure at dewpoint [Pa]
            p_ws_dp = IF97::psat97(Tdp);
        } else {
            // Sublimation pressure at icepoint [Pa]
            p_ws_dp = psub_Ice(Tdp);
        }
        // Enhancement Factor at dewpoint temperature [-]
        f_dp = f_factor(Tdp, p);
        // Error between target and actual pressure [Pa]
        resid = p_w - p_ws_dp * f_dp;
 
        if (iter == 1) {
            y1 = resid;
        }
        if (iter > 1) {
            y2 = resid;
            x3 = x2 - y2 / (y2 - y1) * (x2 - x1);
            y1 = y2;
            x1 = x2;
            x2 = x3;
        }
        iter = iter + 1;
    }
    return Tdp;
}
 
class WetBulbSolver : public CoolProp::FuncWrapper1D
{
   private:
    double _p, _W, LHS;
 
   public:
    WetBulbSolver(double T, double p, double psi_w) : _p(p), _W(epsilon * psi_w / (1 - psi_w)) {
        //These things are all not a function of Twb
        double v_bar_w = MolarVolume(T, p, psi_w), M_ha = MM_Water() * psi_w + (1 - psi_w) * 0.028966;
        LHS = MolarEnthalpy(T, p, psi_w, v_bar_w) * (1 + _W) / M_ha;
    }
    double call(double Twb) {
        double epsilon = 0.621945;
        double f_wb, p_ws_wb, p_s_wb, W_s_wb, h_w, M_ha_wb, psi_wb, v_bar_wb;
 
        // Enhancement Factor at wetbulb temperature [-]
        f_wb = f_factor(Twb, _p);
        if (Twb > 273.16) {
            // Saturation pressure at wetbulb temperature [Pa]
            p_ws_wb = IF97::psat97(Twb);
        } else {
            // Sublimation pressure at wetbulb temperature [kPa]
            p_ws_wb = psub_Ice(Twb);
        }
 
        // Vapor pressure
        p_s_wb = f_wb * p_ws_wb;
        // wetbulb humidity ratio
        W_s_wb = epsilon * p_s_wb / (_p - p_s_wb);
        // wetbulb water mole fraction
        psi_wb = W_s_wb / (epsilon + W_s_wb);
        if (Twb > 273.16) {
            // Use IF97 to do the flash
            WaterIF97->update(CoolProp::PT_INPUTS, _p, Twb);
            // Enthalpy of water [J/kg_water]
            Water->update(CoolProp::DmassT_INPUTS, WaterIF97->rhomass(), Twb);
            h_w = Water->keyed_output(CoolProp::iHmass);  //[J/kg_water]
        } else {
            // Enthalpy of ice [J/kg_water]
            h_w = h_Ice(Twb, _p);
        }
        // Mole masses of wetbulb and humid air
 
        M_ha_wb = MM_Water() * psi_wb + (1 - psi_wb) * 0.028966;
        v_bar_wb = MolarVolume(Twb, _p, psi_wb);
        double RHS = (MolarEnthalpy(Twb, _p, psi_wb, v_bar_wb) * (1 + W_s_wb) / M_ha_wb + (_W - W_s_wb) * h_w);
        if (!ValidNumber(LHS - RHS)) {
            throw CoolProp::ValueError();
        }
        return LHS - RHS;
    }
};
 
class WetBulbTminSolver : public CoolProp::FuncWrapper1D
{
   public:
    double p, hair_dry;
    WetBulbTminSolver(double p, double hair_dry) : p(p), hair_dry(hair_dry) {}
    double call(double Ts) {
        //double RHS = HAPropsSI("H","T",Ts,"P",p,"R",1);
 
        double psi_w, T = Ts;
        //std::vector<givens> inp = { HumidAir::GIVEN_T, HumidAir::GIVEN_RH }; // C++11
        std::vector<givens> inp(2);
        inp[0] = HumidAir::GIVEN_T;
        inp[1] = HumidAir::GIVEN_RH;
        //std::vector<double> val = { Ts, 1.0 }; // C++11
        std::vector<double> val(2);
        val[0] = Ts;
        val[1] = 1.0;
        _HAPropsSI_inputs(p, inp, val, T, psi_w);
        double RHS = _HAPropsSI_outputs(GIVEN_ENTHALPY, p, T, psi_w);
 
        if (!ValidNumber(RHS)) {
            throw CoolProp::ValueError();
        }
        return RHS - this->hair_dry;
    }
};
 
double WetbulbTemperature(double T, double p, double psi_w) {
    // ------------------------------------------
    // Iteratively find the wetbulb temperature
    // ------------------------------------------
    //
    // If the temperature is less than the saturation temperature of water
    // for the given atmospheric pressure, the highest wetbulb temperature that is possible is the dry bulb
    // temperature
    //
    // If the temperature is above the saturation temperature corresponding to the atmospheric pressure,
    // then the maximum value for the wetbulb temperature is the saturation temperature
    double Tmax = T;
    double Tsat = IF97::Tsat97(p);
    if (T >= Tsat) {
        Tmax = Tsat;
    }
 
    // Instantiate the solver container class
    WetBulbSolver WBS(T, p, psi_w);
 
    double return_val;
    try {
        return_val = Brent(WBS, Tmax + 1, 100, DBL_EPSILON, 1e-12, 50);
 
        // Solution obtained is out of range (T>Tmax)
        if (return_val > Tmax + 1) {
            throw CoolProp::ValueError();
        }
    } catch (...) {
        // The lowest wetbulb temperature that is possible for a given dry bulb temperature
        // is the saturated air temperature which yields the enthalpy of dry air at dry bulb temperature
 
        try {
            double hair_dry = MassEnthalpy_per_kgda(T, p, 0);  // both /kg_ha and /kg_da are the same here since dry air
 
            // Directly solve for the saturated temperature that yields the enthalpy desired
            WetBulbTminSolver WBTS(p, hair_dry);
            double Tmin = Brent(WBTS, 210, Tsat - 1, 1e-12, 1e-12, 50);
 
            return_val = Brent(WBS, Tmin - 30, Tmax - 1, 1e-12, 1e-12, 50);
        } catch (...) {
            return_val = _HUGE;
        }
    }
    return return_val;
}
static givens Name2Type(const std::string& Name) {
    if (!strcmp(Name, "Omega") || !strcmp(Name, "HumRat") || !strcmp(Name, "W"))
        return GIVEN_HUMRAT;
    else if (!strcmp(Name, "psi_w") || !strcmp(Name, "Y"))
        return GIVEN_PSIW;
    else if (!strcmp(Name, "Tdp") || !strcmp(Name, "T_dp") || !strcmp(Name, "DewPoint") || !strcmp(Name, "D"))
        return GIVEN_TDP;
    else if (!strcmp(Name, "Twb") || !strcmp(Name, "T_wb") || !strcmp(Name, "WetBulb") || !strcmp(Name, "B"))
        return GIVEN_TWB;
    else if (!strcmp(Name, "Enthalpy") || !strcmp(Name, "H") || !strcmp(Name, "Hda"))
        return GIVEN_ENTHALPY;
    else if (!strcmp(Name, "Hha"))
        return GIVEN_ENTHALPY_HA;
    else if (!strcmp(Name, "InternalEnergy") || !strcmp(Name, "U") || !strcmp(Name, "Uda"))
        return GIVEN_INTERNAL_ENERGY;
    else if (!strcmp(Name, "Uha"))
        return GIVEN_INTERNAL_ENERGY_HA;
    else if (!strcmp(Name, "Entropy") || !strcmp(Name, "S") || !strcmp(Name, "Sda"))
        return GIVEN_ENTROPY;
    else if (!strcmp(Name, "Sha"))
        return GIVEN_ENTROPY_HA;
    else if (!strcmp(Name, "RH") || !strcmp(Name, "RelHum") || !strcmp(Name, "R"))
        return GIVEN_RH;
    else if (!strcmp(Name, "Tdb") || !strcmp(Name, "T_db") || !strcmp(Name, "T"))
        return GIVEN_T;
    else if (!strcmp(Name, "P"))
        return GIVEN_P;
    else if (!strcmp(Name, "V") || !strcmp(Name, "Vda"))
        return GIVEN_VDA;
    else if (!strcmp(Name, "Vha"))
        return GIVEN_VHA;
    else if (!strcmp(Name, "mu") || !strcmp(Name, "Visc") || !strcmp(Name, "M"))
        return GIVEN_VISC;
    else if (!strcmp(Name, "k") || !strcmp(Name, "Conductivity") || !strcmp(Name, "K"))
        return GIVEN_COND;
    else if (!strcmp(Name, "C") || !strcmp(Name, "cp"))
        return GIVEN_CP;
    else if (!strcmp(Name, "Cha") || !strcmp(Name, "cp_ha"))
        return GIVEN_CPHA;
    else if (!strcmp(Name, "CV"))
        return GIVEN_CV;
    else if (!strcmp(Name, "CVha") || !strcmp(Name, "cv_ha"))
        return GIVEN_CVHA;
    else if (!strcmp(Name, "P_w"))
        return GIVEN_PARTIAL_PRESSURE_WATER;
    else if (!strcmp(Name, "isentropic_exponent"))
        return GIVEN_ISENTROPIC_EXPONENT;
    else if (!strcmp(Name, "speed_of_sound"))
        return GIVEN_SPEED_OF_SOUND;
    else if (!strcmp(Name, "Z"))
        return GIVEN_COMPRESSIBILITY_FACTOR;
    else
        throw CoolProp::ValueError(format(
          "Sorry, your input [%s] was not understood to Name2Type. Acceptable values are T,P,R,W,D,B,H,S,M,K and aliases thereof\n", Name.c_str()));
}
int TypeMatch(int TypeCode, const std::string& Input1Name, const std::string& Input2Name, const std::string& Input3Name) {
    // Return the index of the input variable that matches the input, otherwise return -1 for failure
    if (TypeCode == Name2Type(Input1Name)) return 1;
    if (TypeCode == Name2Type(Input2Name)) return 2;
    if (TypeCode == Name2Type(Input3Name))
        return 3;
    else
        return -1;
}
double MoleFractionWater(double T, double p, int HumInput, double InVal) {
    double p_ws, f, W, epsilon = 0.621945, Tdp, p_ws_dp, f_dp, p_w_dp, p_s, RH;
 
    if (HumInput == GIVEN_HUMRAT)  //(2)
    {
        W = InVal;
        return W / (epsilon + W);
    } else if (HumInput == GIVEN_RH) {
        if (T >= 273.16) {
            // Saturation pressure [Pa]
            p_ws = IF97::psat97(T);
        } else {
            // Sublimation pressure [Pa]
            p_ws = psub_Ice(T);
        }
        // Enhancement Factor [-]
        f = f_factor(T, p);
        // Saturation pressure [Pa]
        p_s = f * p_ws;  // Eq. 29
        RH = InVal;
        // Saturation mole fraction [-]
        double psi_ws = p_s / p;  // Eq. 32
        // Mole fraction [-]
        return RH * psi_ws;  // Eq. 43
    } else if (HumInput == GIVEN_TDP) {
        Tdp = InVal;
        // Saturation pressure at dewpoint [Pa]
        if (Tdp >= 273.16) {
            p_ws_dp = IF97::psat97(Tdp);
        } else {
            // Sublimation pressure [Pa]
            p_ws_dp = psub_Ice(Tdp);
        }
 
        // Enhancement Factor at dewpoint temperature [-]
        f_dp = f_factor(Tdp, p);
        // Water vapor pressure at dewpoint [Pa]
        p_w_dp = f_dp * p_ws_dp;
        // Water mole fraction [-]
        return p_w_dp / p;
    } else {
        return -_HUGE;
    }
}
 
double RelativeHumidity(double T, double p, double psi_w) {
    double p_ws, f, p_s;
    if (T >= 273.16) {
        // Saturation pressure [Pa]
        p_ws = IF97::psat97(T);
    } else {
        // sublimation pressure [Pa]
        p_ws = psub_Ice(T);
    }
    // Enhancement Factor [-]
    f = f_factor(T, p);
 
    // Saturation pressure [Pa]
    p_s = f * p_ws;
 
    // Calculate the relative humidity
    return psi_w * p / p_s;
}
 
void convert_to_SI(const std::string& Name, double& val) {
    switch (Name2Type(Name)) {
        case GIVEN_COND:
        case GIVEN_ENTHALPY:
        case GIVEN_ENTHALPY_HA:
        case GIVEN_ENTROPY:
        case GIVEN_ENTROPY_HA:
        case GIVEN_INTERNAL_ENERGY:
        case GIVEN_INTERNAL_ENERGY_HA:
        case GIVEN_CP:
        case GIVEN_CPHA:
        case GIVEN_CV:
        case GIVEN_CVHA:
        case GIVEN_P:
        case GIVEN_PARTIAL_PRESSURE_WATER:
        case GIVEN_SPEED_OF_SOUND:
        case GIVEN_ISENTROPIC_EXPONENT:
            val *= 1000;
            return;
        case GIVEN_T:
        case GIVEN_TDP:
        case GIVEN_TWB:
        case GIVEN_RH:
        case GIVEN_VDA:
        case GIVEN_VHA:
        case GIVEN_HUMRAT:
        case GIVEN_VISC:
        case GIVEN_PSIW:
        case GIVEN_COMPRESSIBILITY_FACTOR:
            return;
        case GIVEN_INVALID:
            throw CoolProp::ValueError(format("invalid input to convert_to_SI"));
    }
}
void convert_from_SI(const std::string& Name, double& val) {
    switch (Name2Type(Name)) {
        case GIVEN_COND:
        case GIVEN_ENTHALPY:
        case GIVEN_ENTHALPY_HA:
        case GIVEN_ENTROPY:
        case GIVEN_ENTROPY_HA:
        case GIVEN_INTERNAL_ENERGY:
        case GIVEN_INTERNAL_ENERGY_HA:
        case GIVEN_CP:
        case GIVEN_CPHA:
        case GIVEN_CV:
        case GIVEN_CVHA:
        case GIVEN_P:
        case GIVEN_PARTIAL_PRESSURE_WATER:
        case GIVEN_SPEED_OF_SOUND:
        case GIVEN_ISENTROPIC_EXPONENT:
            val /= 1000;
            return;
        case GIVEN_T:
        case GIVEN_TDP:
        case GIVEN_TWB:
        case GIVEN_RH:
        case GIVEN_VDA:
        case GIVEN_VHA:
        case GIVEN_HUMRAT:
        case GIVEN_VISC:
        case GIVEN_PSIW:
        case GIVEN_COMPRESSIBILITY_FACTOR:
            return;
        case GIVEN_INVALID:
            throw CoolProp::ValueError(format("invalid input to convert_from_SI"));
    }
}
double HAProps(const std::string& OutputName, const std::string& Input1Name, double Input1, const std::string& Input2Name, double Input2,
               const std::string& Input3Name, double Input3) {
    convert_to_SI(Input1Name, Input1);
    convert_to_SI(Input2Name, Input2);
    convert_to_SI(Input3Name, Input3);
 
    double out = HAPropsSI(OutputName, Input1Name, Input1, Input2Name, Input2, Input3Name, Input3);
 
    convert_from_SI(OutputName, out);
 
    return out;
}
long get_input_key(const std::vector<givens>& input_keys, givens key) {
    if (input_keys.size() != 2) {
        throw CoolProp::ValueError("input_keys is not 2-element vector");
    }
 
    if (input_keys[0] == key) {
        return 0;
    } else if (input_keys[1] == key) {
        return 1;
    } else {
        return -1;
    }
}
bool match_input_key(const std::vector<givens>& input_keys, givens key) {
    return get_input_key(input_keys, key) >= 0;
}
 
class HAProps_W_Residual : public CoolProp::FuncWrapper1D
{
   private:
    const double p;
    const double target;
    const givens output;
    const std::vector<givens> input_keys = {GIVEN_T, GIVEN_HUMRAT};
    std::vector<double> input_vals;
    double _T, _psi_w;
 
   public:
    HAProps_W_Residual(const double p, const double target, const givens output, const double T)
      : p(p), target(target), output(output), _T(_HUGE), _psi_w(_HUGE) {
        input_vals.resize(2, T);
    }
 
    double call(double W) {
        // Update inputs
        input_vals[1] = W;
        // Prepare calculation
        _HAPropsSI_inputs(p, input_keys, input_vals, _T, _psi_w);
        // Retrieve outputs
        return _HAPropsSI_outputs(output, p, _T, _psi_w) - target;
    }
};
 
class HAProps_T_Residual : public CoolProp::FuncWrapper1D
{
   private:
    const double p;
    const double target;
    const givens output;
    const std::vector<givens> input_keys = {GIVEN_T, GIVEN_HUMRAT};
    std::vector<double> input_vals;
    double _T, _psi_w;
 
   public:
    HAProps_T_Residual(const double p, const double target, const givens output, const double W)
      : p(p), target(target), output(output), _T(_HUGE), _psi_w(_HUGE) {
        input_vals.resize(2, W);
    }
 
    double call(double T) {
        // Update inputs
        input_vals[0] = T;
        // Prepare calculation
        _HAPropsSI_inputs(p, input_keys, input_vals, _T, _psi_w);
        // Retrieve outputs
        return _HAPropsSI_outputs(output, p, _T, _psi_w) - target;
    }
};
 
 
void _HAPropsSI_inputs(double p, const std::vector<givens>& input_keys, const std::vector<double>& input_vals, double& T, double& psi_w) {
    if (CoolProp::get_debug_level() > 0) {
        std::cout << format("length of input_keys is %d\n", input_keys.size());
    }
    if (input_keys.size() != input_vals.size()) {
        throw CoolProp::ValueError(format("Length of input_keys (%d) does not equal that of input_vals (%d)", input_keys.size(), input_vals.size()));
    }
 
    long key = get_input_key(input_keys, GIVEN_T);
    if (key >= 0)  // Found T (or alias) as an input
    {
        long other = 1 - key;  // 2 element vector
        T = input_vals[key];
        if (CoolProp::get_debug_level() > 0) {
            std::cout << format("One of the inputs is T: %g K\n", T);
        }
        givens othergiven = input_keys[other];
        switch (othergiven) {
            case GIVEN_RH:
            case GIVEN_HUMRAT:
            case GIVEN_TDP:
                if (CoolProp::get_debug_level() > 0) {
                    std::cout << format("other input value is %g\n", input_vals[other]);
                    std::cout << format("other input index is %d\n", othergiven);
                }
                psi_w = MoleFractionWater(T, p, othergiven, input_vals[other]);
                break;
            default: {
                HAProps_W_Residual residual(p, input_vals[other], othergiven, T);
                double W = _HUGE;
                try {
                    // Find the value for W using the Secant solver
                    W = CoolProp::Secant(&residual, 0.0001, 0.00001, 1e-14, 100);
                    if (!ValidNumber(W)) {
                        throw CoolProp::ValueError("Iterative value for W is invalid");
                    }
                } catch (...) {
                    // Use the Brent's method solver to find W.  Slow but reliable...
                    //
                    // Find the saturation value for the humidity ratio for given dry bulb T
                    // This is this highest possible water content for the humidity ratio
                    double psi_w_sat = MoleFractionWater(T, p, GIVEN_RH, 1.0);
                    double W_max = HumidityRatio(psi_w_sat);
                    double W_min = 0;
                    givens MainInputKey = GIVEN_T;
                    double MainInputValue = T;
                    // Secondary input is the one that you are trying to match
                    double SecondaryInputValue = input_vals[other];
                    givens SecondaryInputKey = input_keys[other];
                    W = Brent_HAProps_W(SecondaryInputKey, p, MainInputKey, MainInputValue, SecondaryInputValue, W_min, W_max);
                    if (!ValidNumber(W)) {
                        throw CoolProp::ValueError("Iterative value for W is invalid");
                    }
                }
                // Mole fraction of water
                psi_w = MoleFractionWater(T, p, GIVEN_HUMRAT, W);
            }
        }
    } else {
        if (CoolProp::get_debug_level() > 0) {
            std::cout << format("The main input is not T\n", T);
        }
        // Need to iterate to find dry bulb temperature since temperature is not provided
        if ((key = get_input_key(input_keys, GIVEN_HUMRAT)) >= 0) {
        }  // Humidity ratio is given
        else if ((key = get_input_key(input_keys, GIVEN_RH)) >= 0) {
        }  // Relative humidity is given
        else if ((key = get_input_key(input_keys, GIVEN_TDP)) >= 0) {
        }  // Dewpoint temperature is given
        else {
            throw CoolProp::ValueError(
              "Sorry, but currently at least one of the variables as an input to HAPropsSI() must be temperature, relative humidity, humidity ratio, "
              "or dewpoint\n  Eventually will add a 2-D NR solver to find T and psi_w simultaneously, but not included now");
        }
        // Don't allow inputs that have two water inputs
        int number_of_water_content_inputs =
          (get_input_key(input_keys, GIVEN_HUMRAT) >= 0) + (get_input_key(input_keys, GIVEN_RH) >= 0) + (get_input_key(input_keys, GIVEN_TDP) >= 0);
        if (number_of_water_content_inputs > 1) {
            throw CoolProp::ValueError(
              "Sorry, but cannot provide two inputs that are both water-content (humidity ratio, relative humidity, absolute humidity");
        }
        // 2-element vector
        long other = 1 - key;
 
        // Main input is the one that you are using in the call to HAPropsSI
        double MainInputValue = input_vals[key];
        givens MainInputKey = input_keys[key];
        // Secondary input is the one that you are trying to match
        double SecondaryInputValue = input_vals[other];
        givens SecondaryInputKey = input_keys[other];
 
        if (CoolProp::get_debug_level() > 0) {
            std::cout << format("Main input is %g\n", MainInputValue);
            std::cout << format("Secondary input is %g\n", SecondaryInputValue);
        }
 
        double T_min = 200;
        double T_max = 450;
        check_bounds(GIVEN_T, 273.15, T_min, T_max);
 
        if (MainInputKey == GIVEN_RH) {
            if (MainInputValue < 1e-10) {
                T_max = 640;
                // For wetbulb, has to be below critical temp
                if (SecondaryInputKey == GIVEN_TWB || SecondaryInputKey == GIVEN_ENTHALPY) {
                    T_max = 640;
                }
                if (SecondaryInputKey == GIVEN_TDP) {
                    throw CoolProp::ValueError("For dry air, dewpoint is an invalid input variable\n");
                }
            } else {
                T_max = CoolProp::PropsSI("T", "P", p, "Q", 0, "Water") - 1;
            }
        }
        // Minimum drybulb temperature is the drybulb temperature corresponding to saturated air for the humidity ratio
        // if the humidity ratio is provided
        else if (MainInputKey == GIVEN_HUMRAT) {
            if (MainInputValue < 1e-10) {
                T_min = 135;  // Around the critical point of dry air
                T_max = 1000;
            } else {
                // Convert given humidity ratio to water mole fraction in vapor phase
                double T_dummy = -1,  // Not actually needed
                  psi_w_sat = MoleFractionWater(T_dummy, p, GIVEN_HUMRAT, MainInputValue);
                // Partial pressure of water, which is equal to f*p_{w_s}
                double pp_water_sat = psi_w_sat * p;
                // Assume unity enhancement factor, calculate guess for drybulb temperature
                // for given water phase composition
                if (pp_water_sat > Water->p_triple()) {
                    T_min = IF97::Tsat97(pp_water_sat);
                } else {
                    T_min = 230;
                }
                // Iteratively solve for temperature that will give desired pp_water_sat
                T_min = Secant_Tdb_at_saturated_W(psi_w_sat, p, T_min);
            }
        } else if (MainInputKey == GIVEN_TDP) {
            // By specifying the dewpoint, the water mole fraction is known directly
            // Otherwise, find psi_w for further calculations in the following section
            double psi_w = MoleFractionWater(-1, p, GIVEN_TDP, MainInputValue);
 
            // Minimum drybulb temperature is saturated humid air at specified water mole fraction
            T_min = DewpointTemperature(T, p, psi_w);
        }
 
        try {
            // Use the Brent's method solver to find T_drybulb.  Slow but reliable
            T = Brent_HAProps_T(SecondaryInputKey, p, MainInputKey, MainInputValue, SecondaryInputValue, T_min, T_max);
        } catch (std::exception& e) {
            if (CoolProp::get_debug_level() > 0) {
                std::cout << "ERROR: " << e.what() << std::endl;
            }
            CoolProp::set_error_string(e.what());
            T = _HUGE;
            psi_w = _HUGE;
            return;
        }
 
        // Otherwise, find psi_w for further calculations in the following section
        std::vector<givens> input_keys(2, GIVEN_T);
        input_keys[1] = MainInputKey;
        std::vector<double> input_vals(2, T);
        input_vals[1] = MainInputValue;
        _HAPropsSI_inputs(p, input_keys, input_vals, T, psi_w);
    }
}
double _HAPropsSI_outputs(givens OutputType, double p, double T, double psi_w) {
    if (CoolProp::get_debug_level() > 0) {
        std::cout << format("_HAPropsSI_outputs :: T: %g K, psi_w: %g\n", T, psi_w);
    }
 
    double M_ha = (1 - psi_w) * 0.028966 + MM_Water() * psi_w;  //[kg_ha/mol_ha]
    // -----------------------------------------------------------------
    // Calculate and return the desired value for known set of p,T,psi_w
    // -----------------------------------------------------------------
    switch (OutputType) {
        case GIVEN_T:
            return T;
        case GIVEN_P:
            return p;
        case GIVEN_VDA: {
            double v_bar = MolarVolume(T, p, psi_w);  //[m^3/mol_ha]
            double W = HumidityRatio(psi_w);          //[kg_w/kg_a]
            return v_bar * (1 + W) / M_ha;            //[m^3/kg_da]
        }
        case GIVEN_VHA: {
            double v_bar = MolarVolume(T, p, psi_w);  //[m^3/mol_ha]
            return v_bar / M_ha;                      //[m^3/kg_ha]
        }
        case GIVEN_PSIW: {
            return psi_w;  //[mol_w/mol]
        }
        case GIVEN_PARTIAL_PRESSURE_WATER: {
            return psi_w * p;  //[Pa]
        }
        case GIVEN_ENTHALPY: {
            return MassEnthalpy_per_kgda(T, p, psi_w);  //[J/kg_da]
        }
        case GIVEN_ENTHALPY_HA: {
            return MassEnthalpy_per_kgha(T, p, psi_w);  //[J/kg_ha]
        }
        case GIVEN_INTERNAL_ENERGY: {
            return MassInternalEnergy_per_kgda(T, p, psi_w);  //[J/kg_da]
        }
        case GIVEN_INTERNAL_ENERGY_HA: {
            return MassInternalEnergy_per_kgha(T, p, psi_w);  //[J/kg_ha]
        }
        case GIVEN_ENTROPY: {
            return MassEntropy_per_kgda(T, p, psi_w);  //[J/kg_da/K]
        }
        case GIVEN_ENTROPY_HA: {
            return MassEntropy_per_kgha(T, p, psi_w);  //[J/kg_ha/K]
        }
        case GIVEN_TDP: {
            return DewpointTemperature(T, p, psi_w);  //[K]
        }
        case GIVEN_TWB: {
            return WetbulbTemperature(T, p, psi_w);  //[K]
        }
        case GIVEN_HUMRAT: {
            return HumidityRatio(psi_w);
        }
        case GIVEN_RH: {
            return RelativeHumidity(T, p, psi_w);
        }
        case GIVEN_VISC: {
            return Viscosity(T, p, psi_w);
        }
        case GIVEN_COND: {
            return Conductivity(T, p, psi_w);
        }
        case GIVEN_CP: {
            // [J/kg_ha/K]*[kg_ha/kg_da] because 1+W = kg_ha/kg_da
            return _HAPropsSI_outputs(GIVEN_CPHA, p, T, psi_w) * (1 + HumidityRatio(psi_w));
        }
        case GIVEN_CPHA: {
            double v_bar1, v_bar2, h_bar1, h_bar2, cp_ha, dT = 1e-3;
            v_bar1 = MolarVolume(T - dT, p, psi_w);            //[m^3/mol_ha]
            h_bar1 = MolarEnthalpy(T - dT, p, psi_w, v_bar1);  //[J/mol_ha]
            v_bar2 = MolarVolume(T + dT, p, psi_w);            //[m^3/mol_ha]
            h_bar2 = MolarEnthalpy(T + dT, p, psi_w, v_bar2);  //[J/mol_ha]
            cp_ha = (h_bar2 - h_bar1) / (2 * dT);              //[J/mol_ha/K]
            return cp_ha / M_ha;                               //[J/kg_ha/K]
        }
        case GIVEN_CV: {
            // [J/kg_ha/K]*[kg_ha/kg_da] because 1+W = kg_ha/kg_da
            return _HAPropsSI_outputs(GIVEN_CVHA, p, T, psi_w) * (1 + HumidityRatio(psi_w));
        }
        case GIVEN_CVHA: {
            double v_bar, p_1, p_2, u_bar1, u_bar2, cv_bar, dT = 1e-3;
            v_bar = MolarVolume(T, p, psi_w);  //[m^3/mol_ha]
            p_1 = Pressure(T - dT, v_bar, psi_w);
            u_bar1 = MolarInternalEnergy(T - dT, p_1, psi_w, v_bar);  //[J/mol_ha]
            p_2 = Pressure(T + dT, v_bar, psi_w);
            u_bar2 = MolarInternalEnergy(T + dT, p_2, psi_w, v_bar);  //[J/mol_ha]
            cv_bar = (u_bar2 - u_bar1) / (2 * dT);                    //[J/mol_ha/K]
            return cv_bar / M_ha;                                     //[J/kg_ha/K]
        }
        case GIVEN_ISENTROPIC_EXPONENT: {
            CoolPropDbl v_bar, dv = 1e-8, p_1, p_2;
            CoolPropDbl cp = _HAPropsSI_outputs(GIVEN_CPHA, p, T, psi_w);  //[J/kg_da/K]
            CoolPropDbl cv = _HAPropsSI_outputs(GIVEN_CVHA, p, T, psi_w);  //[J/kg_da/K]
            v_bar = MolarVolume(T, p, psi_w);                              //[m^3/mol_ha]
            p_1 = Pressure(T, v_bar - dv, psi_w);
            p_2 = Pressure(T, v_bar + dv, psi_w);
            CoolPropDbl dpdv__constT = (p_2 - p_1) / (2 * dv);
            return -cp / cv * dpdv__constT * v_bar / p;
        }
        case GIVEN_SPEED_OF_SOUND: {
            CoolPropDbl v_bar, dv = 1e-8, p_1, p_2;
            CoolPropDbl cp = _HAPropsSI_outputs(GIVEN_CPHA, p, T, psi_w);  //[J/kg_da/K]
            CoolPropDbl cv = _HAPropsSI_outputs(GIVEN_CVHA, p, T, psi_w);  //[J/kg_da/K]
            v_bar = MolarVolume(T, p, psi_w);                              //[m^3/mol_ha]
            p_1 = Pressure(T, v_bar - dv, psi_w);
            p_2 = Pressure(T, v_bar + dv, psi_w);
            CoolPropDbl dvdrho = -v_bar * v_bar;
            CoolPropDbl dpdrho__constT = (p_2 - p_1) / (2 * dv) * dvdrho;
            return sqrt(1 / M_ha * cp / cv * dpdrho__constT);
        }
        case GIVEN_COMPRESSIBILITY_FACTOR: {
            double v_bar = MolarVolume(T, p, psi_w);  //[m^3/mol_ha]
            double R_u_molar = 8.314472;              // J/mol/K
            return p * v_bar / (R_u_molar * T);
        }
        default:
            return _HUGE;
    }
}
double HAPropsSI(const std::string& OutputName, const std::string& Input1Name, double Input1, const std::string& Input2Name, double Input2,
                 const std::string& Input3Name, double Input3) {
    try {
        // Add a check to make sure that Air and Water fluid states have been properly instantiated
        check_fluid_instantiation();
        Water->clear();
        Air->clear();
 
        if (CoolProp::get_debug_level() > 0) {
            std::cout << format("HAPropsSI(%s,%s,%g,%s,%g,%s,%g)\n", OutputName.c_str(), Input1Name.c_str(), Input1, Input2Name.c_str(), Input2,
                                Input3Name.c_str(), Input3);
        }
 
        std::vector<givens> input_keys(2);
        std::vector<double> input_vals(2);
 
        givens In1Type, In2Type, In3Type, OutputType;
        double p, T = _HUGE, psi_w = _HUGE;
 
        // First figure out what kind of inputs you have, convert names to enum values
        In1Type = Name2Type(Input1Name.c_str());
        In2Type = Name2Type(Input2Name.c_str());
        In3Type = Name2Type(Input3Name.c_str());
 
        // Output type
        OutputType = Name2Type(OutputName.c_str());
 
        // Check for trivial inputs
        if (OutputType == In1Type) {
            return Input1;
        }
        if (OutputType == In2Type) {
            return Input2;
        }
        if (OutputType == In3Type) {
            return Input3;
        }
 
        // Check that pressure is provided; load input vectors
        if (In1Type == GIVEN_P) {
            p = Input1;
            input_keys[0] = In2Type;
            input_keys[1] = In3Type;
            input_vals[0] = Input2;
            input_vals[1] = Input3;
        } else if (In2Type == GIVEN_P) {
            p = Input2;
            input_keys[0] = In1Type;
            input_keys[1] = In3Type;
            input_vals[0] = Input1;
            input_vals[1] = Input3;
        } else if (In3Type == GIVEN_P) {
            p = Input3;
            input_keys[0] = In1Type;
            input_keys[1] = In2Type;
            input_vals[0] = Input1;
            input_vals[1] = Input2;
        } else {
            throw CoolProp::ValueError("Pressure must be one of the inputs to HAPropsSI");
        }
 
        if (input_keys[0] == input_keys[1]) {
            throw CoolProp::ValueError("Other two inputs to HAPropsSI aside from pressure cannot be the same");
        }
 
        // Check the input values
        double min_val = _HUGE, max_val = -_HUGE;  // Initialize with invalid values
        for (std::size_t i = 0; i < input_keys.size(); i++) {
            if (!check_bounds(input_keys[i], input_vals[i], min_val, max_val)) {
                throw CoolProp::ValueError(format("The input for key (%d) with value (%g) is outside the range of validity: (%g) to (%g)",
                                                  input_keys[i], input_vals[i], min_val, max_val));
                //if (CoolProp::get_debug_level() > 0) {
                //    std::cout << format("The input for key (%d) with value (%g) is outside the range of validity: (%g) to (%g)", input_keys[i], input_vals[i], min_val, max_val);
                //}
            }
        }
        // Parse the inputs to get to set of p, T, psi_w
        _HAPropsSI_inputs(p, input_keys, input_vals, T, psi_w);
 
        if (CoolProp::get_debug_level() > 0) {
            std::cout << format("HAPropsSI input conversion yields T: %g, psi_w: %g\n", T, psi_w);
        }
 
        // Check the standardized input values
        if (!check_bounds(GIVEN_P, p, min_val, max_val)) {
            throw CoolProp::ValueError(format("The pressure value (%g) is outside the range of validity: (%g) to (%g)", p, min_val, max_val));
            //if (CoolProp::get_debug_level() > 0) {
            //    std::cout << format("The pressure value (%g) is outside the range of validity: (%g) to (%g)", p, min_val, max_val);
            //}
        }
        if (!check_bounds(GIVEN_T, T, min_val, max_val)) {
            throw CoolProp::ValueError(format("The temperature value (%g) is outside the range of validity: (%g) to (%g)", T, min_val, max_val));
            //if (CoolProp::get_debug_level() > 0) {
            //    std::cout << format("The temperature value (%g) is outside the range of validity: (%g) to (%g)", T, min_val, max_val);
            //}
        }
        if (!check_bounds(GIVEN_PSIW, psi_w, min_val, max_val)) {
            throw CoolProp::ValueError(
              format("The water mole fraction value (%g) is outside the range of validity: (%g) to (%g)", psi_w, min_val, max_val));
            //if (CoolProp::get_debug_level() > 0) {
            //    std::cout << format("The water mole fraction value (%g) is outside the range of validity: (%g) to (%g)", psi_w, min_val, max_val);
            //}
        }
        // Calculate the output value desired
        double val = _HAPropsSI_outputs(OutputType, p, T, psi_w);
        // Check the output value
        if (!check_bounds(OutputType, val, min_val, max_val)) {
            throw CoolProp::ValueError(
              format("The output for key (%d) with value (%g) is outside the range of validity: (%g) to (%g)", OutputType, val, min_val, max_val));
            //if (CoolProp::get_debug_level() > 0) {
            //    std::cout << format("The output for key (%d) with value (%g) is outside the range of validity: (%g) to (%g)", OutputType, val, min_val, max_val);
            //}
        }
 
        if (!ValidNumber(val)) {
            if (CoolProp::get_debug_level() > 0) {
                std::cout << format("HAPropsSI is about to return invalid number");
            }
            throw CoolProp::ValueError("Invalid value about to be returned");
        }
 
        if (CoolProp::get_debug_level() > 0) {
            std::cout << format("HAPropsSI is about to return %g\n", val);
        }
        return val;
    } catch (std::exception& e) {
        CoolProp::set_error_string(e.what());
        return _HUGE;
    } catch (...) {
        return _HUGE;
    }
}
 
double HAProps_Aux(const char* Name, double T, double p, double W, char* units) {
    // This function provides some things that are not usually needed, but could be interesting for debug purposes.
 
    // Add a check to make sure that Air and Water fluid states have been properly instantiated
    check_fluid_instantiation();
 
    // Requires W since it is nice and fast and always defined.  Put a dummy value if you want something that doesn't use humidity
 
    // Takes temperature, pressure, and humidity ratio W as inputs;
    double psi_w, B_aa, C_aaa, B_ww, C_www, B_aw, C_aaw, C_aww, v_bar;
 
    try {
        if (!strcmp(Name, "Baa")) {
            B_aa = B_Air(T);  // [m^3/mol]
            strcpy(units, "m^3/mol");
            return B_aa;
        } else if (!strcmp(Name, "Caaa")) {
            C_aaa = C_Air(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return C_aaa;
        } else if (!strcmp(Name, "Bww")) {
            B_ww = B_Water(T);  // [m^3/mol]
            strcpy(units, "m^3/mol");
            return B_ww;
        } else if (!strcmp(Name, "Cwww")) {
            C_www = C_Water(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return C_www;
        } else if (!strcmp(Name, "dBaa")) {
            B_aa = dBdT_Air(T);  // [m^3/mol]
            strcpy(units, "m^3/mol");
            return B_aa;
        } else if (!strcmp(Name, "dCaaa")) {
            C_aaa = dCdT_Air(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return C_aaa;
        } else if (!strcmp(Name, "dBww")) {
            B_ww = dBdT_Water(T);  // [m^3/mol]
            strcpy(units, "m^3/mol");
            return B_ww;
        } else if (!strcmp(Name, "dCwww")) {
            C_www = dCdT_Water(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return C_www;
        } else if (!strcmp(Name, "Baw")) {
            B_aw = _B_aw(T);  // [m^3/mol]
            strcpy(units, "m^3/mol");
            return B_aw;
        } else if (!strcmp(Name, "Caww")) {
            C_aww = _C_aww(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return C_aww;
        } else if (!strcmp(Name, "Caaw")) {
            C_aaw = _C_aaw(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return C_aaw;
        } else if (!strcmp(Name, "dBaw")) {
            double dB_aw = _dB_aw_dT(T);  // [m^3/mol]
            strcpy(units, "m^3/mol");
            return dB_aw;
        } else if (!strcmp(Name, "dCaww")) {
            double dC_aww = _dC_aww_dT(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return dC_aww;
        } else if (!strcmp(Name, "dCaaw")) {
            double dC_aaw = _dC_aaw_dT(T);  // [m^6/mol^2]
            strcpy(units, "m^6/mol^2");
            return dC_aaw;
        } else if (!strcmp(Name, "beta_H")) {
            strcpy(units, "1/Pa");
            return HenryConstant(T);
        } else if (!strcmp(Name, "kT")) {
            strcpy(units, "1/Pa");
            if (T > 273.16) {
                // Use IF97 to do the flash
                WaterIF97->update(CoolProp::PT_INPUTS, p, T);
                Water->update(CoolProp::PT_INPUTS, WaterIF97->rhomass(), T);
                return Water->keyed_output(CoolProp::iisothermal_compressibility);
            } else
                return IsothermCompress_Ice(T, p);  //[1/Pa]
        } else if (!strcmp(Name, "p_ws")) {
            strcpy(units, "Pa");
            if (T > 273.16) {
                return IF97::psat97(T);
            } else
                return psub_Ice(T);
        } else if (!strcmp(Name, "vbar_ws")) {
            strcpy(units, "m^3/mol");
            if (T > 273.16) {
                Water->update(CoolProp::QT_INPUTS, 0, T);
                return 1.0 / Water->keyed_output(CoolProp::iDmolar);
            } else {
                // It is ice
                return dg_dp_Ice(T, p) * MM_Water() / 1000 / 1000;  //[m^3/mol]
            }
        } else if (!strcmp(Name, "f")) {
            strcpy(units, "-");
            return f_factor(T, p);
        }
        // Get psi_w since everything else wants it
        psi_w = MoleFractionWater(T, p, GIVEN_HUMRAT, W);
        if (!strcmp(Name, "Bm")) {
            strcpy(units, "m^3/mol");
            return B_m(T, psi_w);
        } else if (!strcmp(Name, "Cm")) {
            strcpy(units, "m^6/mol^2");
            return C_m(T, psi_w);
        } else if (!strcmp(Name, "hvirial")) {
            v_bar = MolarVolume(T, p, psi_w);
            return 8.3145 * T * ((B_m(T, psi_w) - T * dB_m_dT(T, psi_w)) / v_bar + (C_m(T, psi_w) - T / 2.0 * dC_m_dT(T, psi_w)) / (v_bar * v_bar));
        }
        //else if (!strcmp(Name,"ha"))
        //{
        //    delta=1.1/322; tau=132/T;
        //    return 1+tau*DerivTerms("dphi0_dTau",tau,delta,"Water");
        //}
        //else if (!strcmp(Name,"hw"))
        //{
        //    //~ return Props('D','T',T,'P',p,"Water")/322; tau=647/T;
        //    delta=1000/322; tau=647/T;
        //    //~ delta=rho_Water(T,p,TYPE_TP);tau=647/T;
        //    return 1+tau*DerivTerms("dphi0_dTau",tau,delta,"Water");
        //}
        else if (!strcmp(Name, "hbaro_w")) {
            return IdealGasMolarEnthalpy_Water(T, p);
        } else if (!strcmp(Name, "hbaro_a")) {
            return IdealGasMolarEnthalpy_Air(T, p);
        } else if (!strcmp(Name, "h_Ice")) {
            strcpy(units, "J/kg");
            return h_Ice(T, p);
        } else if (!strcmp(Name, "s_Ice")) {
            strcpy(units, "J/kg/K");
            return s_Ice(T, p);
        } else if (!strcmp(Name, "psub_Ice")) {
            strcpy(units, "Pa");
            return psub_Ice(T);
        } else if (!strcmp(Name, "g_Ice")) {
            strcpy(units, "J/kg");
            return g_Ice(T, p);
        } else if (!strcmp(Name, "rho_Ice")) {
            strcpy(units, "kg/m^3");
            return rho_Ice(T, p);
        } else {
            printf("Sorry I didn't understand your input [%s] to HAProps_Aux\n", Name);
            return -1;
        }
    } catch (...) {
    }
    return _HUGE;
}
double cair_sat(double T) {
    // Humid air saturation specific heat at 1 atmosphere.
    // Based on a correlation from EES, good from 250K to 300K.
    // No error bound checking is carried out
    // T: [K]
    // cair_s: [kJ/kg-K]
    return 2.14627073E+03 - 3.28917768E+01 * T + 1.89471075E-01 * T * T - 4.86290986E-04 * T * T * T + 4.69540143E-07 * T * T * T * T;
}
 
double IceProps(const char* Name, double T, double p) {
    if (!strcmp(Name, "s")) {
        return s_Ice(T, p * 1000.0);
    } else if (!strcmp(Name, "rho")) {
        return rho_Ice(T, p * 1000.0);
    } else if (!strcmp(Name, "h")) {
        return h_Ice(T, p * 1000.0);
    } else {
        return 1e99;
    }
}
 
} /* namespace HumidAir */
 
#ifdef ENABLE_CATCH
#    include <math.h>
#    include <catch2/catch_all.hpp>
 
TEST_CASE("Check HA Virials from Table A.2.1", "[RP1485]") {
    SECTION("B_aa") {
        CHECK(std::abs(HumidAir::B_Air(-60 + 273.15) / (-33.065 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::B_Air(0 + 273.15) / (-13.562 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::B_Air(200 + 273.15) / (11.905 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::B_Air(350 + 273.15) / (18.949 / 1e6) - 1) < 1e-3);
    }
    SECTION("B_ww") {
        CHECK(std::abs(HumidAir::B_Water(-60 + 273.15) / (-11174 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::B_Water(0 + 273.15) / (-2025.6 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::B_Water(200 + 273.15) / (-200.52 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::B_Water(350 + 273.15) / (-89.888 / 1e6) - 1) < 1e-3);
    }
    SECTION("B_aw") {
        CHECK(std::abs(HumidAir::_B_aw(-60 + 273.15) / (-68.306 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_B_aw(0 + 273.15) / (-38.074 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_B_aw(200 + 273.15) / (-2.0472 / 1e6) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_B_aw(350 + 273.15) / (7.5200 / 1e6) - 1) < 1e-3);
    }
 
    SECTION("C_aaa") {
        CHECK(std::abs(HumidAir::C_Air(-60 + 273.15) / (2177.9 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::C_Air(0 + 273.15) / (1893.1 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::C_Air(200 + 273.15) / (1551.2 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::C_Air(350 + 273.15) / (1464.7 / 1e12) - 1) < 1e-3);
    }
    SECTION("C_www") {
        CHECK(std::abs(HumidAir::C_Water(-60 + 273.15) / (-1.5162999202e-04) - 1) < 1e-3);  // Relaxed criterion for this parameter
        CHECK(std::abs(HumidAir::C_Water(0 + 273.15) / (-10981960 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::C_Water(200 + 273.15) / (-0.00000003713759442) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::C_Water(350 + 273.15) / (-0.000000001198914198) - 1) < 1e-3);
    }
    SECTION("C_aaw") {
        CHECK(std::abs(HumidAir::_C_aaw(-60 + 273.15) / (1027.3 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_C_aaw(0 + 273.15) / (861.02 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_C_aaw(200 + 273.15) / (627.15 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_C_aaw(350 + 273.15) / (583.79 / 1e12) - 1) < 1e-3);
    }
    SECTION("C_aww") {
        CHECK(std::abs(HumidAir::_C_aww(-60 + 273.15) / (-1821432 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_C_aww(0 + 273.15) / (-224234 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_C_aww(200 + 273.15) / (-8436.5 / 1e12) - 1) < 1e-3);
        CHECK(std::abs(HumidAir::_C_aww(350 + 273.15) / (-2486.9 / 1e12) - 1) < 1e-3);
    }
}
TEST_CASE("Enhancement factor from Table A.3", "[RP1485]") {
    CHECK(std::abs(HumidAir::f_factor(-60 + 273.15, 101325) / (1.00708) - 1) < 1e-3);
    CHECK(std::abs(HumidAir::f_factor(80 + 273.15, 101325) / (1.00573) - 1) < 1e-3);
    CHECK(std::abs(HumidAir::f_factor(-60 + 273.15, 10000e3) / (2.23918) - 1) < 1e-3);
    CHECK(std::abs(HumidAir::f_factor(300 + 273.15, 10000e3) / (1.04804) - 1) < 1e-3);
}
TEST_CASE("Isothermal compressibility from Table A.5", "[RP1485]") {
    CHECK(std::abs(HumidAir::isothermal_compressibility(-60 + 273.15, 101325) / (0.10771e-9) - 1) < 1e-3);
    CAPTURE(HumidAir::isothermal_compressibility(80 + 273.15, 101325));
    CHECK(std::abs(HumidAir::isothermal_compressibility(80 + 273.15, 101325) / (0.46009e-9) - 1) < 1e-2);  // Relaxed criterion for this parameter
    CHECK(std::abs(HumidAir::isothermal_compressibility(-60 + 273.15, 10000e3) / (0.10701e-9) - 1) < 1e-3);
    CHECK(std::abs(HumidAir::isothermal_compressibility(300 + 273.15, 10000e3) / (3.05896e-9) - 1) < 1e-3);
}
TEST_CASE("Henry constant from Table A.6", "[RP1485]") {
    CHECK(std::abs(HumidAir::HenryConstant(0.010001 + 273.15) / (0.22600e-9) - 1) < 1e-3);
    CHECK(std::abs(HumidAir::HenryConstant(300 + 273.15) / (0.58389e-9) - 1) < 1e-3);
}
 
// A structure to hold the values for one call to HAProps
struct hel
{
   public:
    std::string in1, in2, in3, out;
    double v1, v2, v3, expected;
    hel(std::string in1, double v1, std::string in2, double v2, std::string in3, double v3, std::string out, double expected) {
        this->in1 = in1;
        this->in2 = in2;
        this->in3 = in3;
        this->v1 = v1;
        this->v2 = v2;
        this->v3 = v3;
        this->expected = expected;
        this->out = out;
    };
};
std::vector<hel> table_A11 = {hel("T", 473.15, "W", 0.00, "P", 101325, "B", 45.07 + 273.15), hel("T", 473.15, "W", 0.00, "P", 101325, "V", 1.341),
                   hel("T", 473.15, "W", 0.00, "P", 101325, "H", 202520),         hel("T", 473.15, "W", 0.00, "P", 101325, "S", 555.8),
                   hel("T", 473.15, "W", 0.50, "P", 101325, "B", 81.12 + 273.15), hel("T", 473.15, "W", 0.50, "P", 101325, "V", 2.416),
                   hel("T", 473.15, "W", 0.50, "P", 101325, "H", 1641400),        hel("T", 473.15, "W", 0.50, "P", 101325, "S", 4829.5),
                   hel("T", 473.15, "W", 1.00, "P", 101325, "B", 88.15 + 273.15), hel("T", 473.15, "W", 1.00, "P", 101325, "V", 3.489),
                   hel("T", 473.15, "W", 1.00, "P", 101325, "H", 3079550),        hel("T", 473.15, "W", 1.00, "P", 101325, "S", 8889.0)};
 
std::vector<hel> table_A12 = {hel("T", 473.15, "W", 0.00, "P", 1e6, "B", 90.47 + 273.15),
                   hel("T", 473.15, "W", 0.00, "P", 1e6, "V", 0.136),
                   hel("T", 473.15, "W", 0.00, "P", 1e6, "H", 201940),
//                   hel("T", 473.15, "W", 0.00, "P", 1e6, "S", -101.1),   Using CoolProp 4.2, this value seems incorrect from report
                   hel("T", 473.15, "W", 0.50, "P", 1e6, "B", 148.49 + 273.15),
                   hel("T", 473.15, "W", 0.50, "P", 1e6, "V", 0.243),
                   hel("T", 473.15, "W", 0.50, "P", 1e6, "H", 1630140),
                   hel("T", 473.15, "W", 0.50, "P", 1e6, "S", 3630.2),
                   hel("T", 473.15, "W", 1.00, "P", 1e6, "B", 159.92 + 273.15),
                   hel("T", 473.15, "W", 1.00, "P", 1e6, "V", 0.347),
                   hel("T", 473.15, "W", 1.00, "P", 1e6, "H", 3050210),
                   hel("T", 473.15, "W", 1.00, "P", 1e6, "S", 7141.3)};
 
std::vector<hel> table_A15 = {
  hel("T", 473.15, "W", 0.10, "P", 1e7, "B", 188.92 + 273.15), hel("T", 473.15, "W", 0.10, "P", 1e7, "V", 0.016),
  hel("T", 473.15, "W", 0.10, "P", 1e7, "H", 473920),          hel("T", 473.15, "W", 0.10, "P", 1e7, "S", -90.1),
  hel("T", 473.15, "W", 0.10, "P", 1e7, "R", 0.734594),
};
 
class HAPropsConsistencyFixture
{
   public:
    std::vector<hel> inputs;
    std::string in1, in2, in3, out;
    double v1, v2, v3, expected, actual;
    void set_values(hel& h) {
        this->in1 = h.in1;
        this->in2 = h.in2;
        this->in3 = h.in3;
        this->v1 = h.v1;
        this->v2 = h.v2;
        this->v3 = h.v3;
        this->expected = h.expected;
        this->out = h.out;
    };
    void call() {
        actual = HumidAir::HAPropsSI(out.c_str(), in1.c_str(), v1, in2.c_str(), v2, in3.c_str(), v3);
    }
};
 
TEST_CASE_METHOD(HAPropsConsistencyFixture, "ASHRAE RP1485 Tables", "[RP1485]") {
    SECTION("Table A.15") {
        inputs = table_A15;
        for (std::size_t i = 0; i < inputs.size(); ++i) {
            set_values(inputs[i]);
            call();
            CAPTURE(inputs[i].in1);
            CAPTURE(inputs[i].v1);
            CAPTURE(inputs[i].in2);
            CAPTURE(inputs[i].v2);
            CAPTURE(inputs[i].in3);
            CAPTURE(inputs[i].v3);
            CAPTURE(out);
            CAPTURE(actual);
            CAPTURE(expected);
            std::string errmsg = CoolProp::get_global_param_string("errstring");
            CAPTURE(errmsg);
            CHECK(std::abs(actual / expected - 1) < 0.01);
        }
    }
    SECTION("Table A.11") {
        inputs = table_A11;
        for (std::size_t i = 0; i < inputs.size(); ++i) {
            set_values(inputs[i]);
            call();
            CAPTURE(inputs[i].in1);
            CAPTURE(inputs[i].v1);
            CAPTURE(inputs[i].in2);
            CAPTURE(inputs[i].v2);
            CAPTURE(inputs[i].in3);
            CAPTURE(inputs[i].v3);
            CAPTURE(out);
            CAPTURE(actual);
            CAPTURE(expected);
            std::string errmsg = CoolProp::get_global_param_string("errstring");
            CAPTURE(errmsg);
            CHECK(std::abs(actual / expected - 1) < 0.01);
        }
    }
    SECTION("Table A.12") {
        inputs = table_A12;
        for (std::size_t i = 0; i < inputs.size(); ++i) {
            set_values(inputs[i]);
            call();
            CAPTURE(inputs[i].in1);
            CAPTURE(inputs[i].v1);
            CAPTURE(inputs[i].in2);
            CAPTURE(inputs[i].v2);
            CAPTURE(inputs[i].in3);
            CAPTURE(inputs[i].v3);
            CAPTURE(out);
            CAPTURE(actual);
            CAPTURE(expected);
            std::string errmsg = CoolProp::get_global_param_string("errstring");
            CAPTURE(errmsg);
            CHECK(std::abs(actual / expected - 1) < 0.01);
        }
    }
}
TEST_CASE("Assorted tests", "[HAPropsSI]") {
    CHECK(ValidNumber(HumidAir::HAPropsSI("T", "H", 267769, "P", 104300, "W", 0.0)));
    CHECK(ValidNumber(HumidAir::HAPropsSI("T", "B", 252.84, "W", 5.097e-4, "P", 101325)));
    CHECK(ValidNumber(HumidAir::HAPropsSI("T", "B", 290, "R", 1, "P", 101325)));
}
// a predicate implemented as a function:
bool is_not_a_pair(const std::set<std::size_t>& item) {
    return item.size() != 2;
}
 
const int number_of_inputs = 6;
std::string inputs[number_of_inputs] = {"W", "D", "B", "R", "T", "V"};  //,"H","S"};
 
class ConsistencyTestData
{
   public:
    bool is_built;
    std::vector<Dictionary> data;
    std::list<std::set<std::size_t>> inputs_list;
    ConsistencyTestData() {
        is_built = false;
    };
    void build() {
        if (is_built) {
            return;
        }
        std::vector<std::size_t> indices(number_of_inputs);
        for (std::size_t i = 0; i < number_of_inputs; ++i) {
            indices[i] = i;
        }
        // Generate a powerset of all the permutations of all lengths of inputs
        std::set<std::size_t> indices_set(indices.begin(), indices.end());
        std::set<std::set<std::size_t>> inputs_powerset = powerset(indices_set);
        inputs_list = std::list<std::set<std::size_t>>(inputs_powerset.begin(), inputs_powerset.end());
        inputs_list.remove_if(is_not_a_pair);
 
        const int NT = 10, NW = 5;
        double p = 101325;
        for (double T = 210; T < 350; T += (350 - 210) / (NT - 1)) {
            double Wsat = HumidAir::HAPropsSI("W", "T", T, "P", p, "R", 1.0);
            for (double W = 1e-5; W < Wsat; W += (Wsat - 1e-5) / (NW - 1)) {
                Dictionary vals;
                // Calculate all the values using T, W
                for (int i = 0; i < number_of_inputs; ++i) {
                    double v = HumidAir::HAPropsSI(inputs[i], "T", T, "P", p, "W", W);
                    vals.add_number(inputs[i], v);
                }
                data.push_back(vals);
                std::cout << format("T %g W %g\n", T, W);
            }
        }
        is_built = true;
    };
} consistency_data;
 
TEST_CASE("HAProps tests", "[HAProps]") {
    Eigen::ArrayXd Tdb = Eigen::ArrayXd::LinSpaced(100, -10, 55) + 273.15;
    for (auto Tdb_ : Tdb){
        CAPTURE(Tdb_);
        CHECK(ValidNumber(HumidAir::HAProps("W", "T", Tdb_, "R", 1, "P", 101.325)));
    }
}
 
/*
 * This test is incredibly slow, which is why it is currently commented out.  Many of the tests also fail
 *
TEST_CASE("HAPropsSI", "[HAPropsSI]")
{
    consistency_data.build();
    double p = 101325;
    for (std::size_t i = 0; i < consistency_data.data.size(); ++i)
    {
        for (std::list<std::set<std::size_t> >::iterator iter = consistency_data.inputs_list.begin(); iter != consistency_data.inputs_list.end(); ++iter)
        {
            std::vector<std::size_t> pair(iter->begin(), iter->end());
            std::string i0 = inputs[pair[0]], i1 = inputs[pair[1]];
            double v0 = consistency_data.data[i].get_double(i0), v1 = consistency_data.data[i].get_double(i1);
            if ((i0 == "B" && i1 == "V") || (i1 == "B" && i0 == "V")){continue;}
            std::ostringstream ss2;
            ss2 << "Inputs: \"" << i0 << "\"," << v0 << ",\"" << i1 << "\"," << v1;
            SECTION(ss2.str(), ""){
 
                double T = consistency_data.data[i].get_double("T");
                double W = consistency_data.data[i].get_double("W");
                double Wcalc = HumidAir::HAPropsSI("W", i0, v0, i1, v1, "P", p);
                double Tcalc = HumidAir::HAPropsSI("T", i0, v0, i1, v1, "P", p);
                std::string err = CoolProp::get_global_param_string("errstring");
                CAPTURE(T);
                CAPTURE(W);
                CAPTURE(Tcalc);
                CAPTURE(Wcalc);
                CAPTURE(err);
                CHECK(std::abs(Tcalc - T) < 1e-1);
                CHECK(std::abs((Wcalc - W)/W) < 1e-3);
            }
        }
    }
}
 */
 
#endif /* CATCH_ENABLED */