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<h4 class="subsection">D.14.7 <code>mpfr</code> functions with miscellaneous calling conventions</h4>

<p>Some functions listed below don't conform to any of the previously
mentioned calling conventions.

     <dl>
<dt><code>eq</code><dd>This is a ternary operator taking a triple
<code>(</code><var>prec</var><code>,(</code><var>x</var><code>,</code><var>y</var><code>))</code>, where <var>prec</var> is a natural
number and <var>x</var> and <var>y</var> are <code>mpfr</code> numbers. It returns a
result of <code>(nil,nil)</code> (i.e., true) if the numbers agree up to the
specified precision measured in bits, and returns <code>nil</code>
otherwise.<a rel="footnote" href="#fn-1" name="fnd-1"><sup>1</sup></a>
<br><dt><code>urandomb</code><dd>This function takes a natural number specifying a precision and
<a name="index-random-numbers-798"></a>returns a uniformly distributed pseudo-random number of that precision
between 0 and 1. 
<br><dt><code>prec</code><dd>This function takes an <code>mpfr</code> number and returns a natural number
as a result, which is the precision of the argument in bits. 
<br><dt><code>sin_cos</code><dd>This function takes an <code>mpfr</code> number <var>z</var> as an argument and
returns a pair of <code>mpfr</code> numbers <code>(</code><var>x</var><code>,</code><var>y</var><code>)</code> as a
result, where <var>x</var> is the sine of <var>z</var> and <var>y</var> is the cosine.  The
precisions of the results are the same as the precision of the
argument. 
</dl>

   <div class="footnote">
<hr>
<h4>Footnotes</h4><p class="footnote"><small>[<a name="fn-1" href="#fnd-1">1</a>]</small> a potentially useful tool for algorithms concerned
with numerical approximations despite its inexplicable malignment in
the <code>mpfr</code> documentation</p>

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