# include <cppad/cppad.hpp>
namespace { // -------------------------------------------------------
// define the template function ForOneCases<Vector> in empty namespace
template <typename Vector>
bool ForOneCases()
{ bool ok = true;
using CppAD::AD;
using CppAD::NearEqual;
double eps99 = 99.0 * std::numeric_limits<double>::epsilon();
using CppAD::exp;
using CppAD::sin;
using CppAD::cos;
// domain space vector
size_t n = 2;
CPPAD_TESTVECTOR(AD<double>) X(n);
X[0] = 1.;
X[1] = 2.;
// declare independent variables and starting recording
CppAD::Independent(X);
// range space vector
size_t m = 3;
CPPAD_TESTVECTOR(AD<double>) Y(m);
Y[0] = X[0] * exp( X[1] );
Y[1] = X[0] * sin( X[1] );
Y[2] = X[0] * cos( X[1] );
// create f: X -> Y and stop tape recording
CppAD::ADFun<double> f(X, Y);
// new value for the independent variable vector
Vector x(n);
x[0] = 2.;
x[1] = 1.;
// compute partial of y w.r.t x[0]
Vector dy(m);
dy = f.ForOne(x, 0);
ok &= NearEqual( dy[0], exp(x[1]), eps99, eps99); // for y[0]
ok &= NearEqual( dy[1], sin(x[1]), eps99, eps99); // for y[1]
ok &= NearEqual( dy[2], cos(x[1]), eps99, eps99); // for y[2]
// compute partial of F w.r.t x[1]
dy = f.ForOne(x, 1);
ok &= NearEqual( dy[0], x[0]*exp(x[1]), eps99, eps99);
ok &= NearEqual( dy[1], x[0]*cos(x[1]), eps99, eps99);
ok &= NearEqual( dy[2], -x[0]*sin(x[1]), eps99, eps99);
return ok;
}
} // End empty namespace
# include <vector>
# include <valarray>
bool ForOne(void)
{ bool ok = true;
// Run with Vector equal to three different cases
// all of which are Simple Vectors with elements of type double.
ok &= ForOneCases< CppAD::vector <double> >();
ok &= ForOneCases< std::vector <double> >();
ok &= ForOneCases< std::valarray <double> >();
return ok;
}