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Up-> cppad_swig library a_fun a_fun_forward a_fun_forward_xam.cpp

cppad_swig-> testing swig_xam.i library whats_new_2018

library-> module a_double vector a_fun sparse error xam.m4

a_fun-> independent abort_recording a_fun_ctor a_fun_jacobian a_fun_hessian a_fun_forward a_fun_reverse a_fun_optimize a_fun_property

a_fun_forward-> a_fun_forward_xam.cpp a_fun_forward_xam.m a_fun_forward_xam.pm a_fun_forward_xam.py

a_fun_forward_xam.cpp

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# include <cstdio>
# include <string>
# include <cppad/swig/cppad_swig.hpp>

bool a_fun_forward_xam(void) {
     using cppad_swig::a_double;
     using cppad_swig::vec_bool;
     using cppad_swig::vec_int;
     using cppad_swig::vec_double;
     using cppad_swig::vec_a_double;
     using cppad_swig::a_fun;
     using cppad_swig::sparse_rc;
     using cppad_swig::sparse_rcv;
     using cppad_swig::sparse_jac_work;
     using cppad_swig::sparse_hes_work;
     using std::string;
     //
     // initialize return variable
     bool ok = true;
     //------------------------------------------------------------------------
     // number of dependent and independent variables
     int n_dep = 1;
     int n_ind = 2;
     //
     // create the independent variables ax
     vec_double xp = cppad_swig::vec_double(n_ind);
     for(int i = 0; i < n_ind ; i++) {
          xp[i] = i + 1.0;
     }
     vec_a_double ax = cppad_swig::independent(xp);
     //
     // create dependent varialbes ay with ay0 = ax0 * ax1
     a_double ax0 = ax[0];
     a_double ax1 = ax[1];
     vec_a_double ay = cppad_swig::vec_a_double(n_dep);
     ay[0] = ax0 * ax1;
     //
     // define af corresponding to f(x) = x0 * x1
     a_fun af = cppad_swig::a_fun(ax, ay);
     //
     // define X(t) = (3 + t, 2 + t)
     // it follows that Y(t) = f(X(t)) = (3 + t) * (2 + t)
     //
     // Y(0) = 6 and p ! = 1
     int p = 0;
     xp[0] = 3.0;
     xp[1] = 2.0;
     vec_double yp = af.forward(p, xp);
     ok = ok && yp[0] == 6.0;
     //
     // first order Taylor coefficients for X(t)
     p = 1;
     xp[0] = 1.0;
     xp[1] = 1.0;
     //
     // first order Taylor coefficient for Y(t)
     // Y'(0) = 3 + 2 = 5 and p ! = 1
     yp = af.forward(p, xp);
     ok = ok && yp[0] == 5.0;
     //
     // second order Taylor coefficients for X(t)
     p = 2;
     xp[0] = 0.0;
     xp[1] = 0.0;
     //
     // second order Taylor coefficient for Y(t)
     // Y''(0) = 2.0 and p ! = 2
     yp = af.forward(p, xp);
     ok = ok && yp[0] == 1.0;
     //
     return( ok );
}