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<h4 class="subsubsection" id="Read-Syntax-for-Numerical-Data"><span>6.6.2.6 Read Syntax for Numerical Data<a class="copiable-link" href="#Read-Syntax-for-Numerical-Data"> &para;</a></span></h4>
<p>The read syntax for integers is a string of digits, optionally
preceded by a minus or plus character, a code indicating the
base in which the integer is encoded, and a code indicating whether
the number is exact or inexact. The supported base codes are:
</p>
<dl class="table">
<dt><code class="code">#b</code></dt>
<dt><code class="code">#B</code></dt>
<dd><p>the integer is written in binary (base 2)
</p>
</dd>
<dt><code class="code">#o</code></dt>
<dt><code class="code">#O</code></dt>
<dd><p>the integer is written in octal (base 8)
</p>
</dd>
<dt><code class="code">#d</code></dt>
<dt><code class="code">#D</code></dt>
<dd><p>the integer is written in decimal (base 10)
</p>
</dd>
<dt><code class="code">#x</code></dt>
<dt><code class="code">#X</code></dt>
<dd><p>the integer is written in hexadecimal (base 16)
</p></dd>
</dl>
<p>If the base code is omitted, the integer is assumed to be decimal. The
following examples show how these base codes are used.
</p>
<div class="example lisp">
<pre class="lisp-preformatted">-13
&rArr; -13
#d-13
&rArr; -13
#x-13
&rArr; -19
#b+1101
&rArr; 13
#o377
&rArr; 255
</pre></div>
<p>The codes for indicating exactness (which can, incidentally, be applied
to all numerical values) are:
</p>
<dl class="table">
<dt><code class="code">#e</code></dt>
<dt><code class="code">#E</code></dt>
<dd><p>the number is exact
</p>
</dd>
<dt><code class="code">#i</code></dt>
<dt><code class="code">#I</code></dt>
<dd><p>the number is inexact.
</p></dd>
</dl>
<p>If the exactness indicator is omitted, the number is exact unless it
contains a radix point. Since Guile can not represent exact complex
numbers, an error is signaled when asking for them.
</p>
<div class="example lisp">
<pre class="lisp-preformatted">(exact? 1.2)
&rArr; #f
(exact? #e1.2)
&rArr; #t
(exact? #e+1i)
ERROR: Wrong type argument
</pre></div>
<p>Guile also understands the syntax &lsquo;<samp class="samp">+inf.0</samp>&rsquo; and &lsquo;<samp class="samp">-inf.0</samp>&rsquo; for
plus and minus infinity, respectively. The value must be written
exactly as shown, that is, they always must have a sign and exactly
one zero digit after the decimal point. It also understands
&lsquo;<samp class="samp">+nan.0</samp>&rsquo; and &lsquo;<samp class="samp">-nan.0</samp>&rsquo; for the special &lsquo;not-a-number&rsquo; value.
The sign is ignored for &lsquo;not-a-number&rsquo; and the value is always printed
as &lsquo;<samp class="samp">+nan.0</samp>&rsquo;.
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