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<center><b><big><big>Gradient of Determinant Using Expansion by Minors: Example and Test</big></big></b></center>
<code><font color="blue"><pre style='display:inline'>
# include <cppad/cppad.hpp>
# include <cppad/speed/det_by_minor.hpp>
# include <complex>
typedef std::complex<double> Complex;
typedef CppAD::<a href="ad.xml" target="_top">AD</a><Complex> ADComplex;
typedef <a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><ADComplex> ADVector;
// ----------------------------------------------------------------------------
bool JacMinorDet()
{ bool ok = true;
using namespace CppAD;
size_t n = 2;
// object for computing determinant
det_by_minor<ADComplex> Det(n);
// independent and dependent variable vectors
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><ADComplex> X(n * n);
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><ADComplex> D(1);
// value of the independent variable
size_t i;
for(i = 0; i < n * n; i++)
X[i] = Complex(int(i), -int(i));
// set the independent variables
<a href="independent.xml" target="_top">Independent</a>(X);
// comupute the determinant
D[0] = Det(X);
// create the function object
<a href="funconstruct.xml" target="_top">ADFun</a><Complex> f(X, D);
// argument value
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><Complex> x( n * n );
for(i = 0; i < n * n; i++)
x[i] = Complex(2 * i, i);
// first derivative of the determinant
<a href="test_vector.xml" target="_top">CPPAD_TEST_VECTOR</a><Complex> J( n * n );
J = f.<a href="jacobian.xml" target="_top">Jacobian</a>(x);
/*
f(x) = x[0] * x[3] - x[1] * x[2]
f'(x) = ( x[3], -x[2], -x[1], x[0] )
*/
Complex Jtrue[] = { x[3], -x[2], -x[1], x[0] };
for(i = 0; i < n * n; i++)
ok &= Jtrue[i] == J[i];
return ok;
}
</pre>
</font></code>
<hr/>Input File: example/jac_minor_det.cpp
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