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<?xml version='1.0'?>
<html xmlns='http://www.w3.org/1999/xhtml'
      xmlns:math='http://www.w3.org/1998/Math/MathML'
>
<head>
<title>Source: det_grad_33</title>
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<center><b><big><big>Source: det_grad_33</big></big></b></center>
<code><font color="blue"># ifndef CPPAD_DET_GRAD_33_INCLUDED 
<code><span style='white-space: nowrap'><br/>
</span></code># define CPPAD_DET_GRAD_33_INCLUDED

<pre style='display:inline'> 
# include &lt;cppad/near_equal.hpp&gt;
namespace CppAD {
template &lt;class Vector&gt;
	bool det_grad_33(const Vector &amp;x, const Vector &amp;g)
	{	bool ok = true;
	
		// use expansion by minors to compute the derivative by hand
		double check[9];
		check[0] = + ( x[4] * x[8] - x[5] * x[7] );
		check[1] = - ( x[3] * x[8] - x[5] * x[6] );
		check[2] = + ( x[3] * x[7] - x[4] * x[6] );
		//
		check[3] = - ( x[1] * x[8] - x[2] * x[7] );
		check[4] = + ( x[0] * x[8] - x[2] * x[6] );
		check[5] = - ( x[0] * x[7] - x[1] * x[6] );
		//
		check[6] = + ( x[1] * x[5] - x[2] * x[4] );
		check[7] = - ( x[0] * x[5] - x[2] * x[3] );
		check[8] = + ( x[0] * x[4] - x[1] * x[3] ); 
		//
		size_t i;
		for(i = 0; i &lt; 3 * 3; i++)
			ok &amp;= CppAD::<a href="nearequal.xml" target="_top">NearEqual</a>(check[i], g[i], 1e-10, 1e-10);
		
		return ok;
	}
}
</pre>


# endif
</font></code>


<hr/>Input File: omh/det_grad_33_hpp.omh

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