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<center><b><big><big>Machine Epsilon: Example and Test</big></big></b></center>
<code><font color="blue"><pre style='display:inline'> 

# ifdef _MSC_VER
// Supress Microsoft compiler warning about possible loss of precision,
// in the constructors (when converting to std::complex&lt;float&gt;)
//	Type one = 1
//	Type two = 2
// 1 and 2 are small enough so no loss of precision when converting to float.
# pragma warning(disable:4244)
# endif

# include &lt;cppad/cppad.hpp&gt;
# include &lt;complex&gt;

namespace {
	template &lt;class Type&gt;
	Type add_one(const Type&amp; value)
	{	return( Type(1) + value ); }
	//
	template &lt;class Type&gt;
	bool check_epsilon(void)
	{	bool ok  = true;
		using CppAD::epsilon;
		using CppAD::abs;
		Type eps   = CppAD::epsilon&lt;Type&gt;();
		Type one   = 1;
		Type two   = 2;
		Type eps2  = eps / two; 
		Type check = add_one(eps);
		ok        &amp;= one !=  check;
		check      = add_one(eps2);
		ok        &amp;= one == check;
		return ok;
	}
}

bool epsilon(void)
{	bool ok = true;
	using CppAD::AD;

	// Machine epsilon for Base types defined by CppAD
	// (see base_require for defining ones own Base type).
	ok &amp;= check_epsilon&lt;float&gt;();
	ok &amp;= check_epsilon&lt;double&gt;();
	ok &amp;= check_epsilon&lt; std::complex&lt;float&gt; &gt;();
	// ok &amp;= check_epsilon&lt; std::complex&lt;double&gt; &gt;();

	// Machine epsilon for some AD types. 
	ok &amp;= check_epsilon&lt; <a href="ad.xml" target="_top">AD</a>&lt;float&gt; &gt;();
	ok &amp;= check_epsilon&lt; <a href="ad.xml" target="_top">AD</a>&lt;double&gt; &gt;();
	ok &amp;= check_epsilon&lt;  <a href="ad.xml" target="_top">AD</a>&lt;std::complex&lt;float&gt; &gt; &gt;();
	ok &amp;= check_epsilon&lt;  <a href="ad.xml" target="_top">AD</a>&lt;std::complex&lt;double&gt; &gt; &gt;();

	return ok;
}
</pre>

</font></code>


<hr/>Input File: example/epsilon.cpp

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