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  </script></head><body><hr/><div><a class="rout" href="../../pdf/X02/x02ajf.pdf">X02AJF (PDF version)</a></div><div><a class="chap" href="x02conts.xml">X02 Chapter Contents</a></div><div><a class="chapint" href="x02intro.xml">X02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div><hr/><h1 class="libdoc">NAG Library Routine Document<br/><br/>X02AJF</h1><div class="paramtext"><div class="header"><b>Note:</b>&#160; before using this routine, please read the Users' Note for your implementation to check the interpretation of <span class="bitalic">bold italicised</span> terms and other implementation-dependent details.</div></div> 
<div class="htmltoc">
<h2 class="htmltoc"><span class="htmltochead" onclick="showLevel('htmltoc');"><span class="htmltocplus" id="htmltocplus">+</span><span class="htmltocminus" id="htmltocminus">&#8722;</span></span>&#160;Contents</h2>
<div class="htmltocitem" id="htmltoc">
<div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#purpose">1&#160;&#160;<b>Purpose</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#specification">2&#160;&#160;<b>Specification</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#description">3&#160;&#160;<b>Description</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#references">4&#160;&#160;<b>References</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#parameters">5&#160;&#160;<b>Parameters</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#errors">6&#160;&#160;<b>Error Indicators and Warnings</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#accuracy">7&#160;&#160;<b>Accuracy</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#fcomments">8&#160;&#160;<b>Further Comments</b></a>
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<span class="htmltoc" onclick="showLevel('tocexample');"><span class="htmltocplus" id="tocexampleplus">+</span><span class="htmltocminus" id="tocexampleminus">&#8722;</span></span>
<a class="htmltoc" href="#example">9&#160;&#160;<b>Example</b></a>
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<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#examtext">9.1&#160;&#160;<b>Program Text</b></a>
</div><div class="htmltoc">
<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#examdata">9.2&#160;&#160;<b>Program Data</b></a>
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<span class="htmltocplus">&#160;&#160;&#160;</span>
<a class="htmltoc" href="#examresults">9.3&#160;&#160;<b>Program Results</b></a>
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</div>
</div>
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</div><h2 class="standard"><a class="sec" name="purpose" id="purpose"/>1&#160;&#160;Purpose</h2>
<div class="paramtext">X02AJF returns <m:math><m:mi>&#949;</m:mi></m:math>, the value <span class="bitalic">machine precision</span>.</div><h2 class="standard"><a class="sec" name="specification" id="specification"/>2&#160;&#160;Specification</h2>
<table class="fspec"><tr><td class="tdfspec1"><b><i>double&#160;precision</i></b>&#160;FUNCTION&#160;X02AJF&#160;(</td><td class="tdfspec2">)</td></tr></table><h2 class="standard"><a class="sec" name="description" id="description"/>3&#160;&#160;Description</h2>
<div class="paramtext">X02AJF returns <span class="bitalic">machine precision</span>, computed as <m:math>
 <m:mi>&#949;</m:mi>
 <m:mo>=</m:mo>
 <m:mfrac><m:mn>1</m:mn><m:mn>2</m:mn></m:mfrac>
 <m:mo>&#215;</m:mo>
 <m:msup><m:mi>b</m:mi><m:mrow><m:mn>1</m:mn><m:mo>-</m:mo><m:mi>p</m:mi></m:mrow></m:msup>
</m:math>, where <m:math><m:mi>b</m:mi></m:math>&#160;is the arithmetic base (see <a class="rout" href="../X02/x02bhf.xml">X02BHF</a>) and <m:math><m:mi>p</m:mi></m:math>&#160;is the number of significant base-<m:math><m:mi>b</m:mi></m:math>&#160;digits (see <a class="rout" href="../X02/x02bjf.xml">X02BJF</a>).</div><div class="paramtext">It is important to note that the definition of <m:math><m:mi>&#949;</m:mi></m:math>&#160;here differs from that in <a class="ref" href="#ref643">ISO (1997)</a>.
</div><h2 class="standard"><a class="sec" name="references" id="references"/>4&#160;&#160;References</h2><div class="paramtext"><a name="ref643" id="ref643"/>ISO  (1997)  ISO Fortran 95 programming language (ISO/IEC 1539&#8211;1:1997) </div><h2 class="standard"><a class="sec" name="parameters" id="parameters"/>5&#160;&#160;Parameters</h2>
<div class="paramtext">None.</div><h2 class="standard"><a class="sec" name="errors" id="errors"/>6&#160;&#160;Error Indicators and Warnings</h2>
<div class="paramtext">None.</div><h2 class="standard"><a class="sec" name="accuracy" id="accuracy"/>7&#160;&#160;Accuracy</h2>
<div class="paramtext">None.</div><h2 class="standard"><a class="sec" name="fcomments" id="fcomments"/>8&#160;&#160;Further Comments</h2>
<div class="paramtext">None.</div><h2 class="standard"><a class="sec" name="example" id="example"/>9&#160;&#160;Example</h2>
<div class="paramtext">This example prints the values of all the functions in <a class="chap" href="../X02/x02conts.xml">Chapter X02</a>.  The results will vary from one implementation of the Library to another.</div><h3 class="standard"><a class="sec" name="examtext" id="examtext"/>9.1&#160;&#160;Program Text</h3>
<p><a class="verbatimref" href="../../examples/source/x02ajfe.f">Program Text (x02ajfe.f)</a></p><h3 class="standard"><a class="sec" name="examdata" id="examdata"/>9.2&#160;&#160;Program Data</h3>
<div class="paramtext">None.</div><h3 class="standard"><a class="sec" name="examresults" id="examresults"/>9.3&#160;&#160;Program Results</h3>
<p><a class="verbatimref" href="../../examples/baseresults/x02ajfe.r">Program Results (x02ajfe.r)</a></p><hr/><div><a class="rout" href="../../pdf/X02/x02ajf.pdf">X02AJF (PDF version)</a></div><div><a class="chap" href="x02conts.xml">X02 Chapter Contents</a></div><div><a class="chapint" href="x02intro.xml">X02 Chapter Introduction</a></div>
<div><a class="htmltoc" href="../FRONTMATTER/manconts.xml">NAG Library Manual</a></div>
<div><hr/><a class="genint" href="../FRONTMATTER/copyright.xml">&#169; The Numerical Algorithms Group Ltd, Oxford, UK. 2009</a></div></body></html>
