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<h3 class="section">D.14 <code>mpfr</code></h3>

<p>The <code>mpfr</code> library provides a rich assortment of floating point
operations on arbitrary precision numbers
(<a href="http://www.mpfr.org">http://www.mpfr.org</a>). These numbers are represented in a format
that is not binary compatible with the standard IEEE floating point
number format used by other libraries, but they offer superior
numerical stability suitable for many ill conditioned problems.

   <p>The virtual code interface to the <code>mpfr</code> library follows the
native API to the extent of using the same names for most operations,
but excludes features pertaining to i/o, mutable storage, and memory
management.

   <p>The <code>mpfr</code> library functions are invoked by an expression of the
form

<pre class="example">     library('mpfr',f)
</pre>
   <p class="noindent">Aside from a few exceptions as noted, <code>f</code> is a character string
derived from the name of the related function from the <code>mpfr</code> C
library as documented at the above address, but without the
<code>mpfr_</code> prefix.

   <p>The full complement of available functions is documented in the
remainder of this section.

     <ul>
<li>References to natural numbers pertain to the list representation
described in <a href="Representation-of-Numeric-and-Textual-Data.html#Representation-of-Numeric-and-Textual-Data">Representation of Numeric and Textual Data</a>. 
<li>All functions that perform rounding use a mode of <code>GMP_RNDN</code> for
<a name="index-rounding-792"></a>rounding to nearest, which is not explicitly specified on the virtual
side. 
</ul>

<ul class="menu">
<li><a accesskey="1" href="mpfr-binary-operators.html#mpfr-binary-operators">mpfr binary operators</a>
<li><a accesskey="2" href="mpfr-unary-operators.html#mpfr-unary-operators">mpfr unary operators</a>
<li><a accesskey="3" href="mpfr-binary-operators-with-a-natural-operand.html#mpfr-binary-operators-with-a-natural-operand">mpfr binary operators with a natural operand</a>
<li><a accesskey="4" href="mpfr-binary-predicates.html#mpfr-binary-predicates">mpfr binary predicates</a>
<li><a accesskey="5" href="mpfr-unary-predicates.html#mpfr-unary-predicates">mpfr unary predicates</a>
<li><a accesskey="6" href="mpfr-constants.html#mpfr-constants">mpfr constants</a>
<li><a accesskey="7" href="mpfr-functions-with-miscellaneous-calling-conventions.html#mpfr-functions-with-miscellaneous-calling-conventions">mpfr functions with miscellaneous calling conventions</a>
<li><a accesskey="8" href="mpfr-conversion-functions.html#mpfr-conversion-functions">mpfr conversion functions</a>
<li><a accesskey="9" href="mpfr-exceptions.html#mpfr-exceptions">mpfr exceptions</a>
<li><a href="Additional-mpfr-notes.html#Additional-mpfr-notes">Additional mpfr notes</a>
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