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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>Numeric Limits: Example and Test</title>
<meta http-equiv='Content-Type' content='text/html' charset='utf-8'/>
<meta name="description" id="description" content="Numeric Limits: Example and Test"/>
<meta name="keywords" id="keywords" content=" numeric limits: example and test limits "/>
<style type='text/css'>
body { color : black }
body { background-color : white }
A:link { color : blue }
A:visited { color : purple }
A:active { color : purple }
</style>
<script type='text/javascript' language='JavaScript' src='_limits.cpp_xml.js'>
</script>
</head>
<body>
<table><tr>
<td>
<a href="http://www.coin-or.org/CppAD/" target="_top"><img border="0" src="_image.gif"/></a>
</td>
<td><a href="limits.xml" target="_top">Prev</a>
</td><td><a href="condexp.xml" target="_top">Next</a>
</td><td>
<select onchange='choose_across0(this)'>
<option>Index-&gt;</option>
<option>contents</option>
<option>reference</option>
<option>index</option>
<option>search</option>
<option>external</option>
</select>
</td>
<td>
<select onchange='choose_up0(this)'>
<option>Up-&gt;</option>
<option>CppAD</option>
<option>AD</option>
<option>ADValued</option>
<option>MathOther</option>
<option>limits</option>
<option>limits.cpp</option>
</select>
</td>
<td>
<select onchange='choose_down3(this)'>
<option>ADValued-&gt;</option>
<option>Arithmetic</option>
<option>std_math_ad</option>
<option>MathOther</option>
<option>CondExp</option>
<option>Discrete</option>
<option>atomic</option>
</select>
</td>
<td>
<select onchange='choose_down2(this)'>
<option>MathOther-&gt;</option>
<option>abs</option>
<option>sign</option>
<option>atan2</option>
<option>erf</option>
<option>pow</option>
<option>limits</option>
</select>
</td>
<td>
<select onchange='choose_down1(this)'>
<option>limits-&gt;</option>
<option>limits.cpp</option>
</select>
</td>
<td>limits.cpp</td>
<td>Headings</td>
</tr></table><br/>



<center><b><big><big>Numeric Limits: 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;)
//	Float one = 1
//	Float 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 {
	typedef CppAD::<a href="ad.xml" target="_top">AD</a>&lt;double&gt; Float;
	//
	// -----------------------------------------------------------------
	bool check_epsilon(void)
	{	bool ok    = true;
		Float eps   = CppAD::numeric_limits&lt;Float&gt;::epsilon();
		Float eps2  = eps / 2.0; 
		Float check = 1.0 + eps;
		ok         &amp;= 1.0 !=  check;
		check       = 1.0 + eps2;
		ok         &amp;= 1.0 == check;
		return ok;
	}
	// -----------------------------------------------------------------
	bool check_min(void)
	{	bool ok     = true;
		Float min   = CppAD::numeric_limits&lt;Float&gt;::min();
		Float eps   = CppAD::numeric_limits&lt;Float&gt;::epsilon();
		//
		Float match = (min / 100. ) * 100.;
		ok         &amp;= abs(match/min - 1.0) &gt; 3.0 * eps;
		//
		match       = (min * 100.) / (100. * (1.0 - eps));
		ok         &amp;= abs(match / min - 1.0) &lt; 3.0 * eps;
		return ok;
	}
	// -----------------------------------------------------------------
	bool check_max(void)
	{	bool ok     = true;
		Float max   = CppAD::numeric_limits&lt;Float&gt;::max();
		Float eps   = CppAD::numeric_limits&lt;Float&gt;::epsilon();
		//
		Float match = (max * 100.) / 100.;
		ok         &amp;= abs(match / max - 1.0) &gt; 3.0 * eps;
		//
		match       = (max / 100. ) * (100. * (1.0 - eps));
		ok         &amp;= abs(match/max - 1.0) &lt; 3.0 * eps;
		return ok;
	}
}

bool limits(void)
{	bool ok = true;

	ok &amp;= check_epsilon();
	ok &amp;= check_max();
	ok &amp;= check_min();

	return ok;
}
</pre>

</font></code>


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

</body>
</html>