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<center><b><big><big>Independent and ADFun Constructor: Example and Test</big></big></b></center>
<code><font color="blue"><pre style='display:inline'>
# include <cppad/cppad.hpp>
namespace { // --------------------------------------------------------
// define the template function Test<VectorAD>(void) in empty namespace
template <class VectorAD>
bool Test(void)
{ bool ok = true;
using CppAD::AD;
using CppAD::NearEqual;
// domain space vector
size_t n = 2;
VectorAD X(n); // VectorAD is the template parameter in call to Test
X[0] = 0.;
X[1] = 1.;
// declare independent variables and start recording
// use the template parameter VectorAD for the vector type
CppAD::<a href="independent.xml" target="_top">Independent</a>(X);
<a href="ad.xml" target="_top">AD</a><double> a = X[0] + X[1]; // first AD operation
<a href="ad.xml" target="_top">AD</a><double> b = X[0] * X[1]; // second AD operation
// range space vector
size_t m = 2;
VectorAD Y(m); // VectorAD is the template paraemter in call to Test
Y[0] = a;
Y[1] = b;
// create f: X -> Y and stop tape recording
// use the template parameter VectorAD for the vector type
CppAD::<a href="funconstruct.xml" target="_top">ADFun</a><double> f(X, Y);
// check value
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(Y[0] , 1., 1e-10 , 1e-10);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(Y[1] , 0., 1e-10 , 1e-10);
// compute f(1, 2)
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><double> x(n);
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><double> y(m);
x[0] = 1.;
x[1] = 2.;
y = f.<a href="forward.xml" target="_top">Forward</a>(0, x);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(y[0] , 3., 1e-10 , 1e-10);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(y[1] , 2., 1e-10 , 1e-10);
// compute partial of f w.r.t x[0] at (1, 2)
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><double> dx(n);
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><double> dy(m);
dx[0] = 1.;
dx[1] = 0.;
dy = f.<a href="forward.xml" target="_top">Forward</a>(1, dx);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(dy[0] , 1., 1e-10 , 1e-10);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(dy[1] , x[1], 1e-10 , 1e-10);
// compute partial of f w.r.t x[1] at (1, 2)
dx[0] = 0.;
dx[1] = 1.;
dy = f.<a href="forward.xml" target="_top">Forward</a>(1, dx);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(dy[0] , 1., 1e-10 , 1e-10);
ok &= <a href="nearequal.xml" target="_top">NearEqual</a>(dy[1] , x[0], 1e-10 , 1e-10);
return ok;
}
} // End of empty namespace -------------------------------------------
# include <vector>
# include <valarray>
bool <a href="independent.xml" target="_top">Independent</a>(void)
{ bool ok = true;
typedef CppAD::<a href="ad.xml" target="_top">AD</a><double> ADdouble;
// Run with VectorAD equal to three different cases
// all of which are Simple Vectors with elements of type <a href="ad.xml" target="_top">AD</a><double>.
ok &= Test< CppAD::vector <ADdouble> >();
ok &= Test< std::vector <ADdouble> >();
ok &= Test< std::valarray <ADdouble> >();
return ok;
}
</pre>
</font></code>
<hr/>Input File: example/independent.cpp
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