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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>Sum of the Elements of the Square of a Matrix: Example and Test</title>
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<center><b><big><big>Sum of the Elements of the Square of a Matrix: Example and Test</big></big></b></center>
<code><font color="blue"><pre style='display:inline'> 
# include &lt;vector&gt;
# include &lt;cstddef&gt;
# include &lt;cppad/vector.hpp&gt;
# include &lt;cppad/speed/mat_sum_sq.hpp&gt;

bool mat_sum_sq()
{	bool   ok = true;
	double x_00, x_01, x_10, x_11, check;

	// dimension of the matrices x, y, and the result z
	size_t n = 2;
	CppAD::vector&lt;double&gt; x(n * n), y(n * n), z(1);

	// x = [ 1 2 ; 3 4 ]
	x[0] = x_00 = 1.;
	x[1] = x_01 = 2.;
	x[2] = x_10 = 3.;
	x[3] = x_11 = 4.;

	// compute y = x * x and z = sum of elements in y
	CppAD::mat_sum_sq(n, x, y, z);

	// check y_00
	check = x_00 * x_00 + x_01 * x_10;
	ok   &amp;= (check == y[0]); 

	// check y_01
	check = x_00 * x_01 + x_01 * x_11;
	ok   &amp;= (check == y[1]); 

	// check y_10
	check = x_10 * x_00 + x_11 * x_10;
	ok   &amp;= (check == y[2]); 

	// check y_11
	check = x_10 * x_01 + x_11 * x_11;
	ok   &amp;= (check == y[3]); 
	
	// check z
	check = y[0] + y[1] + y[2] + y[3];
	ok   &amp;= (check == z[0]); 
	
	return ok;
}
</pre>

</font></code>


<hr/>Input File: speed/example/mat_sum_sq.cpp

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