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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta http-equiv="X-UA-Compatible" content="IE=Edge" /> <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /><meta content="index,follow" name="robots" /> <meta content="libmpdec documentation" name="description" /> <meta content="mpdecimal, libmpdec, C, documentation, IEEE 754-2008, floating-point arithmetic" name="keywords" /> <title>libmpdec — mpdecimal 2.5.1 documentation</title> <link rel="stylesheet" href="_static/mpdecimal-doc.css" type="text/css" /> <link rel="stylesheet" href="_static/pygments.css" type="text/css" /> <script id="documentation_options" data-url_root="./" src="_static/documentation_options.js"></script> <script src="_static/jquery.js"></script> <script src="_static/underscore.js"></script> <script src="_static/doctools.js"></script> <script src="_static/language_data.js"></script> <link rel="search" title="Search" href="search.html" /> <link rel="next" title="Function Index" href="functions.html" /> </head><body> <div class="related" role="navigation" aria-label="related navigation"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="functions.html" title="Function Index" accesskey="N">next</a></li> <li><a href="http://www.bytereef.org/mpdecimal/index.html">project home</a></li> </ul> </div> <div class="sphinxsidebar" role="navigation" aria-label="main navigation"> <div class="sphinxsidebarwrapper"> <h4>Next topic</h4> <p class="topless"><a href="functions.html" title="next chapter">Function Index</a></p> <div id="searchbox" style="display: none" role="search"> <h3 id="searchlabel">Quick search</h3> <div class="searchformwrapper"> <form class="search" action="search.html" method="get"> <input type="text" name="q" aria-labelledby="searchlabel" /> <input type="submit" value="Go" /> </form> </div> </div> <script>$('#searchbox').show(0);</script> </div> </div> <div class="document"> <div class="documentwrapper"> <div class="bodywrapper"> <div class="body" role="main"> <div class="section" id="libmpdec"> <h1>libmpdec</h1> <p>Welcome to the libmpdec documentation. libmpdec is a C library for correctly-rounded arbitrary precision decimal floating point arithmetic. libmpdec conforms - with minor restrictions - to the IEEE 754-2008 Standard for Floating-Point Arithmetic, provided that the appropriate context parameters are set.</p> <div class="toctree-wrapper compound"> <ul> <li class="toctree-l1"><a class="reference internal" href="functions.html">Function Index</a><ul> <li class="toctree-l2"><a class="reference internal" href="functions.html#naming-conventions">Naming Conventions</a></li> <li class="toctree-l2"><a class="reference internal" href="functions.html#thread-safety">Thread Safety</a></li> <li class="toctree-l2"><a class="reference internal" href="functions.html#quiet-functions">Quiet Functions</a></li> <li class="toctree-l2"><a class="reference internal" href="functions.html#signaling-functions">Signaling functions</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="context.html">Context</a><ul> <li class="toctree-l2"><a class="reference internal" href="context.html#data-type">Data Type</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#constants">Constants</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#precision-and-exponents">Precision and Exponents</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#rounding">Rounding</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#signals-and-conditions">Signals and Conditions</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#exponent-clamping">Exponent Clamping</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#correct-rounding">Correct Rounding</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="context.html#context-functions">Context Functions</a><ul> <li class="toctree-l2"><a class="reference internal" href="context.html#initialization">Initialization</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#ieee-interchange-formats">IEEE Interchange Formats</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#getters-and-setters">Getters and Setters</a></li> <li class="toctree-l2"><a class="reference internal" href="context.html#calling-the-trap-handler">Calling the Trap Handler</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="decimals.html">Decimals</a><ul> <li class="toctree-l2"><a class="reference internal" href="decimals.html#data-type">Data Type</a></li> <li class="toctree-l2"><a class="reference internal" href="decimals.html#allocation-functions">Allocation Functions</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="assign-convert.html">Assignment, Conversions, I/O</a><ul> <li class="toctree-l2"><a class="reference internal" href="assign-convert.html#create-decimal">Create Decimal</a><ul> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#from-string">From String</a></li> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#from-integer">From Integer</a></li> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#from-special-values">From Special Values</a></li> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#from-triple">From Triple</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="assign-convert.html#create-static-decimal">Create Static Decimal</a><ul> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#std:topic-mpd_sset_u64">From Integer</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="assign-convert.html#convert-decimal">Convert Decimal</a><ul> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#to-string">To String</a></li> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#to-integer">To Integer</a></li> <li class="toctree-l3"><a class="reference internal" href="assign-convert.html#to-triple">To Triple</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="assign-convert.html#copy-decimal">Copy Decimal</a></li> <li class="toctree-l2"><a class="reference internal" href="assign-convert.html#print-decimal">Print Decimal</a></li> <li class="toctree-l2"><a class="reference internal" href="assign-convert.html#print-status-flags">Print Status Flags</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="attributes.html">Attributes of a Decimal</a><ul> <li class="toctree-l2"><a class="reference internal" href="attributes.html#getting-attributes">Getting Attributes</a></li> <li class="toctree-l2"><a class="reference internal" href="attributes.html#setting-attributes">Setting Attributes</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="arithmetic.html">Arithmetic Functions</a><ul> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#basic-arithmetic">Basic Arithmetic</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#add">add</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#subtract">subtract</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#multiply">multiply</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#divide">divide</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#fused-multiply-add">fused-multiply-add</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#integer-division">Integer Division</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#divide-integer">divide-integer</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#remainder">remainder</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#remainder-near">remainder-near</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#divmod">divmod</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#powers-and-logarithms">Powers and Logarithms</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#exp">exp</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#ln">ln</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#log10">log10</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#power">power</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#square-root">square-root</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#inverse-square-root">inverse-square-root</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#sign-and-absolute">Sign and Absolute</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#minus">minus</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#plus">plus</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#abs">abs</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#comparisons">Comparisons</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#compare">compare</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#compare-signal">compare-signal</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#compare-total">compare-total</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#compare-total-magnitude">compare-total-magnitude</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#cmp">cmp</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#cmp-total">cmp-total</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#cmp-total-magnitude">cmp-total-magnitude</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#max">max</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#max-mag">max-mag</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#min">min</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#min-mag">min-mag</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#closest-numbers">Closest Numbers</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#next-minus">next-minus</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#next-plus">next-plus</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#next-toward">next-toward</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#quantizing-and-normalizing">Quantizing and Normalizing</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#quantize">quantize</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#rescale">rescale</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#same-quantum">same-quantum</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#reduce">reduce</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#integral-values">Integral Values</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#round-to-integral-exact">round-to-integral-exact</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#round-to-integral-value">round-to-integral-value</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#floor">floor</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#ceiling">ceiling</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#truncate">truncate</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#scale">Scale</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#logb">logb</a></li> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#scaleb">scaleb</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="arithmetic.html#integer-functions">Integer Functions</a><ul> <li class="toctree-l3"><a class="reference internal" href="arithmetic.html#powmod">powmod</a></li> </ul> </li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="various.html">Various Functions</a><ul> <li class="toctree-l2"><a class="reference internal" href="various.html#applying-the-context">Applying the Context</a><ul> <li class="toctree-l3"><a class="reference internal" href="various.html#finalize">finalize</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="various.html#nan-handling">NaN Handling</a><ul> <li class="toctree-l3"><a class="reference internal" href="various.html#check-nan">check-nan</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#check-nans">check-nans</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="various.html#shifting-and-rotating">Shifting and Rotating</a><ul> <li class="toctree-l3"><a class="reference internal" href="various.html#shift">shift</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#shiftn">shiftn</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#shiftl">shiftl</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#shiftr">shiftr</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#shiftr-inplace">shiftr-inplace</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#rotate">rotate</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="various.html#logical-operations">Logical Operations</a><ul> <li class="toctree-l3"><a class="reference internal" href="various.html#and">and</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#or">or</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#xor">xor</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#invert">invert</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="various.html#base-conversions">Base Conversions</a><ul> <li class="toctree-l3"><a class="reference internal" href="various.html#importing">Importing</a></li> <li class="toctree-l3"><a class="reference internal" href="various.html#exporting">Exporting</a></li> </ul> </li> <li class="toctree-l2"><a class="reference internal" href="various.html#required-functions">Required Functions</a></li> <li class="toctree-l2"><a class="reference internal" href="various.html#library-version">Library version</a></li> </ul> </li> <li class="toctree-l1"><a class="reference internal" href="memory.html">Advanced Memory Handling</a><ul> <li class="toctree-l2"><a class="reference internal" href="memory.html#static-and-dynamic-decimals">Static and Dynamic Decimals</a></li> <li class="toctree-l2"><a class="reference internal" href="memory.html#shared-and-constant-decimals">Shared and Constant Decimals</a></li> <li class="toctree-l2"><a class="reference internal" href="memory.html#mpd-minalloc">MPD_MINALLOC</a></li> <li class="toctree-l2"><a class="reference internal" href="memory.html#resizing-decimals">Resizing Decimals</a></li> <li class="toctree-l2"><a class="reference internal" href="memory.html#custom-allocation-functions">Custom Allocation Functions</a></li> </ul> </li> </ul> </div> </div> </div> </div> </div> <div class="clearer"></div> </div> <div class="related" role="navigation" aria-label="related navigation"> <h3>Navigation</h3> <ul> <li class="right" style="margin-right: 10px"> <a href="functions.html" title="Function Index" >next</a></li> <li><a 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