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# include <cppad/cppad.hpp>
bool Div(void)
{ bool ok = true;
using CppAD::AD;
using CppAD::NearEqual;
// domain space vector
size_t n = 1;
double x0 = 0.5;
CPPAD_TEST_VECTOR< AD<double> > x(n);
x[0] = x0;
// declare independent variables and start tape recording
CppAD::Independent(x);
// some binary division operations
AD<double> a = x[0] / 1.; // AD<double> / double
AD<double> b = a / 2; // AD<double> / int
AD<double> c = 3. / b; // double / AD<double>
AD<double> d = 4 / c; // int / AD<double>
// range space vector
size_t m = 1;
CPPAD_TEST_VECTOR< AD<double> > y(m);
y[0] = (x[0] * x[0]) / d; // AD<double> / AD<double>
// create f: x -> y and stop tape recording
CppAD::ADFun<double> f(x, y);
// check value
ok &= NearEqual(y[0], x0*x0*3.*2.*1./(4.*x0), 1e-10 , 1e-10);
// forward computation of partials w.r.t. x[0]
CPPAD_TEST_VECTOR<double> dx(n);
CPPAD_TEST_VECTOR<double> dy(m);
dx[0] = 1.;
dy = f.Forward(1, dx);
ok &= NearEqual(dy[0], 3.*2.*1./4., 1e-10, 1e-10);
// reverse computation of derivative of y[0]
CPPAD_TEST_VECTOR<double> w(m);
CPPAD_TEST_VECTOR<double> dw(n);
w[0] = 1.;
dw = f.Reverse(1, w);
ok &= NearEqual(dw[0], 3.*2.*1./4., 1e-10, 1e-10);
// use a VecAD<Base>::reference object with division
CppAD::VecAD<double> v(1);
AD<double> zero(0);
v[zero] = d;
AD<double> result = (x[0] * x[0]) / v[zero];
ok &= (result == y[0]);
return ok;
}