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#include <iostream>
#include <algorithm>
#include <numeric>
#include <vector>
#include <valarray>
#include <functional>
#include <complex>
#include <chrono>
#include <optional>
volatile double T = 298.15;
auto rho = 3.0;
auto R = get_R_gas<double>();
double Omega_b = 1.0 / 8, Omega_a = 27.0 / 64;
double Tcrit = 150.687, pcrit = 4863000.0; // Argon
double b = Omega_b * R * Tcrit / pcrit;
double ba = Omega_b / Omega_a / Tcrit / R;
double a = b / ba;
auto t2 = std::chrono::steady_clock::now();
volatile auto pp = vdW.p(T, 1 / rho);
auto t3 = std::chrono::steady_clock::now();
std::cout << std::chrono::duration<double>(t3 - t2).count() << " from p(T,v)" << std::endl;
const std::valarray<double> rhovec = { rho, 0.0 };
auto t21 = std::chrono::steady_clock::now();
auto pfromderiv = rho*R*T + get_pr(vdW, T, rhovec);
auto t31 = std::chrono::steady_clock::now();
std::cout << std::chrono::duration<double>(t31 - t21).count() << " from isochoric" << std::endl;
auto err = pfromderiv / pp - 1.0;
std::cout << std::setprecision(20) << "Error (fractional): " << err << std::endl;
// Argon + Xenon
std::valarray<double> Tc_K = { 150.687, 289.733 };
std::valarray<double> pc_Pa = { 4863000.0, 5842000.0 };
vdWEOS<double> vdW(Tc_K, pc_Pa);
auto rho = 3.0;
auto R = get_R_gas<double>();
auto rhotot = rho;
auto fPsir = [&vdW](const auto& T, const auto& rhovec) {
using container = decltype(rhovec);
auto rhotot_ = std::accumulate(std::begin(rhovec), std::end(rhovec), (decltype(rhovec[0]))0.0);
return vdW.alphar(T, rhovec)*vdW.R*T*rhotot_;
};
auto Psir = fPsir(T, rhovec);
auto dPsirdrho0 = rhovec[0]*derivrhoi(fPsir, T, rhovec, 0);
auto dPsirdrho1 = rhovec[1]*derivrhoi(fPsir, T, rhovec, 1);
auto t2 = std::chrono::steady_clock::now();
auto pfromderiv3 = rhotot*R*T + get_pr(vdW, T, rhovec);
auto t3 = std::chrono::steady_clock::now();
std::cout << std::chrono::duration<double>(t3 - t2).count() << " from isochoric (mix) " << std::endl;