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<center><b><big><big>Source: sparse_hes_fun</big></big></b></center>
<code><font color="blue"># ifndef CPPAD_SPARSE_HES_FUN_INCLUDED 
<code><span style='white-space: nowrap'><br/>
</span></code># define CPPAD_SPARSE_HES_FUN_INCLUDED 

<pre style='display:inline'> 
# include &lt;cppad/local/cppad_assert.hpp&gt;
# include &lt;cppad/check_numeric_type.hpp&gt;
# include &lt;cppad/vector.hpp&gt;

// following needed by gcc under fedora 17 so that exp(double) is defined
# include &lt;cppad/base_require.hpp&gt; 

namespace CppAD {
	template &lt;class Float, class FloatVector&gt;
	void sparse_hes_fun(
		size_t                       n    ,
		const FloatVector&amp;           x    ,
		const CppAD::vector&lt;size_t&gt;&amp; row  , 
		const CppAD::vector&lt;size_t&gt;&amp; col  , 
		size_t                       p    ,
		FloatVector&amp;                fp    )
	{
		// check numeric type specifications
		CheckNumericType&lt;Float&gt;();

		// check value of p
		CPPAD_ASSERT_KNOWN(
			p &lt; 3,
			&quot;sparse_hes_fun: p &gt; 2&quot;
		);

		size_t i, j, k;
		size_t size = 1;
		for(k = 0; k &lt; p; k++)
			size *= n;
		for(k = 0; k &lt; size; k++)
			fp[k] = Float(0);

		size_t K = row.size();
		Float t;
		Float dt_i;
		Float dt_j;
		for(k = 0; k &lt; K; k++)
		{	i    = row[k];
			j    = col[k];
			t    = exp( x[i] * x[j] );	
			dt_i = t * x[j];
			dt_j = t * x[i];
			switch(p)
			{
				case 0:
				fp[0] += t;
				break;

				case 1:
				fp[i] += dt_i;
				fp[j] += dt_j;
				break;

				case 2:
				fp[i * n + i] += dt_i * x[j];
				fp[i * n + j] += t + dt_j * x[j];
				//
				fp[j * n + i] += t + dt_i * x[i];
				fp[j * n + j] += dt_j * x[i];
				break;
			}
		}
			
	}
}
</pre>


# endif
</font></code>


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

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