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<!DOCTYPE html>
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<h3 style="text-align: center;"><strong style="font-size: 130%;">Additive Random Utility Models (ARUMs)</strong></h3>
<hr>
<p>   </p>
<h3 style="text-align: left;"><strong style="font-size: 120%;">None Class</strong></h3>
<div class="row">
<div class="col-md-4">
<div class="panel panel-default">
<div class="panel-body">
<a href="#CD">Class Definition</a> <br>
<a href="#MO">Member Objects</a> <br>
<a href="#MF">Member Functions</a> <br>
<a href="#NTS">Notes</a> <br>
<a href="#EX">Example</a> <br>
</div>
</div>
</div>
</div>
<hr>
<h3 style="text-align: left;"><strong style="font-size: 120%;">Class Definition</strong></h3>
<p>Definition:</p>
<pre class="brush: cpp;">
class none
{
public:
// build objects
int nbX;
int nbY;
int nbParams;
// input objects
arma::mat mu;
arma::mat U;
// equilibrium objects
arma::mat mu_sol;
arma::mat U_sol;
// member functions
~none(){};
none(){};
explicit none(int nbX_inp, int nbY_inp);
void build(int nbX_inp, int nbY_inp);
double G(const arma::vec& n);
double G(const arma::vec& n, const arma::mat& U_inp, arma::mat& mu_out);
double Gx(const arma::mat& U_x_inp, arma::mat& mu_x_out);
double Gx(const arma::mat& U_x_inp, arma::mat& mu_x_out, int x);
double Gstar(const arma::vec& n);
double Gstar(const arma::vec& n, const arma::mat& mu_inp, arma::mat& U_out);
double Gstarx(const arma::mat& mu_x_inp, arma::mat &U_x_out, int x);
double Gbar(const arma::mat& Ubar, const arma::mat& mubar, const arma::vec& n, arma::mat& U_out, arma::mat& mu_out);
double Gbarx(const arma::vec& Ubar_x, const arma::vec& mubar_x, arma::mat& U_x_out, arma::mat& mu_x_out);
double Gbarx(const arma::vec& Ubar_x, const arma::vec& mubar_x, arma::mat& U_x_out, arma::mat& mu_x_out, int x);
arma::vec dtheta_NablaGstar();
empirical simul();
empirical simul(int* nbDraws, int* seed);
void simul(empirical& obj_out);
void simul(empirical& obj_out, int* nbDraws, int* seed);
};
</pre>
<hr>
<h3 style="text-align: left;" id="MO"><strong style="font-size: 120%;">Member Objects</strong></h3>
<hr>
<h3 style="text-align: left;" id="MF"><strong style="font-size: 120%;">Member Functions</strong></h3>
<hr>
<h3 style="text-align: left;" id="NTS"><strong style="font-size: 120%;">Notes</strong></h3>
<hr>
<h3 style="text-align: left;" id="EX"><strong style="font-size: 120%;">Examples</strong></h3>
<p>Example:</p>
<pre class="brush: cpp;">
//
// inputs:
arma::mat U(2,3);
U << 1.6 << 3.2 << 1.1 << arma::endr
<< 2.9 << 1.0 << 3.1 << arma::endr;
arma::mat mu(2,3);
mu << 1.0 << 3.0 << 1.0 << arma::endr
<< 2.0 << 1.0 << 3.0 << arma::endr;
//
// setup none class object
int nbX = U.n_rows;
int nbY = U.n_cols;
arma::vec n = arma::sum(mu,1);
//
trame::none none_obj(nbX,nbY);
none_obj.U = U;
none_obj.mu = mu;
//
double val_G = none_obj.G(n);
std::cout << "G val: \n" << val_G << std::endl;
//
arma::mat mubar(2,3);
mubar.fill(2);
arma::mat Ubar_temp, mubar_temp;
double valGbar = none_obj.Gbar(U,mubar,n,Ubar_temp,mubar_temp);
std::cout << "Gbar val: \n" << valGbar << std::endl;
</pre>
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