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<center><font size="2">The Open Group Base Specifications Issue 6<br>
IEEE Std 1003.1-2001<br>
Copyright &copy; 2001 The IEEE and The Open Group, All Rights reserved.</font></center>
<!--header end-->
<hr size="2" noshade>
<h4><a name="tag_03_347_01"></a>NAME</h4>
<blockquote>logb, logbf, logbl - radix-independent exponent</blockquote>
<h4><a name="tag_03_347_02"></a>SYNOPSIS</h4>
<blockquote class="synopsis">
<p><code><tt>#include &lt;<a href="../basedefs/math.h.html">math.h</a>&gt;<br>
<br>
double logb(double</tt> <i>x</i><tt>);<br>
float logbf(float</tt> <i>x</i><tt>);<br>
long double logbl(long double</tt> <i>x</i><tt>);<br>
</tt></code></p>
</blockquote>
<h4><a name="tag_03_347_03"></a>DESCRIPTION</h4>
<blockquote>
<div class="box"><sup>[<a href="javascript:open_code('CX')">CX</a>]</sup> <img src="../images/opt-start.gif" alt="[Option Start]"
border="0"> The functionality described on this reference page is aligned with the ISO&nbsp;C standard. Any conflict between the
requirements described here and the ISO&nbsp;C standard is unintentional. This volume of IEEE&nbsp;Std&nbsp;1003.1-2001 defers to
the ISO&nbsp;C standard. <img src="../images/opt-end.gif" alt="[Option End]" border="0"></div>
<p>These functions shall compute the exponent of <i>x</i>, which is the integral part of log<i><sub><small>r</small></sub></i>
|<i>x</i>|, as a signed floating-point value, for non-zero <i>x</i>, where <i>r</i> is the radix of the machine's floating-point
arithmetic, which is the value of FLT_RADIX defined in the <a href="../basedefs/float.h.html"><i>&lt;float.h&gt;</i></a>
header.</p>
<p>If <i>x</i> is subnormal it is treated as though it were normalized; thus for finite positive <i>x</i>:</p>
<pre>
<tt>1 &lt;=</tt> <i>x</i> <tt>* FLT_RADIX<small><sup>-logb(x)</sup></small> &lt; FLT_RADIX
</tt>
</pre>
<p>An application wishing to check for error situations should set <i>errno</i> to zero and call
<i>feclearexcept</i>(FE_ALL_EXCEPT) before calling these functions. On return, if <i>errno</i> is non-zero or
<i>fetestexcept</i>(FE_INVALID | FE_DIVBYZERO | FE_OVERFLOW | FE_UNDERFLOW) is non-zero, an error has occurred.</p>
</blockquote>
<h4><a name="tag_03_347_04"></a>RETURN VALUE</h4>
<blockquote>
<p>Upon successful completion, these functions shall return the exponent of <i>x</i>.</p>
<p>If <i>x</i> is &plusmn;0, a pole error shall occur and <i>logb</i>(), <i>logbf</i>(), and <i>logbl</i>() shall return -HUGE_VAL,
-HUGE_VALF, and -HUGE_VALL, respectively.</p>
<p><sup>[<a href="javascript:open_code('MX')">MX</a>]</sup> <img src="../images/opt-start.gif" alt="[Option Start]" border="0"> If
<i>x</i> is NaN, a NaN shall be returned.</p>
<p>If <i>x</i> is &plusmn;Inf, +Inf shall be returned. <img src="../images/opt-end.gif" alt="[Option End]" border="0"></p>
</blockquote>
<h4><a name="tag_03_347_05"></a>ERRORS</h4>
<blockquote>
<p>These functions shall fail if:</p>
<dl compact>
<dt>Pole&nbsp;Error</dt>
<dd>The value of <i>x</i> is &plusmn;0.
<p>If the integer expression (math_errhandling &amp; MATH_ERRNO) is non-zero, then <i>errno</i> shall be set to [ERANGE]. If the
integer expression (math_errhandling &amp; MATH_ERREXCEPT) is non-zero, then the divide-by-zero floating-point exception shall be
raised.</p>
</dd>
</dl>
</blockquote>
<hr>
<div class="box"><em>The following sections are informative.</em></div>
<h4><a name="tag_03_347_06"></a>EXAMPLES</h4>
<blockquote>
<p>None.</p>
</blockquote>
<h4><a name="tag_03_347_07"></a>APPLICATION USAGE</h4>
<blockquote>
<p>On error, the expressions (math_errhandling &amp; MATH_ERRNO) and (math_errhandling &amp; MATH_ERREXCEPT) are independent of
each other, but at least one of them must be non-zero.</p>
</blockquote>
<h4><a name="tag_03_347_08"></a>RATIONALE</h4>
<blockquote>
<p>None.</p>
</blockquote>
<h4><a name="tag_03_347_09"></a>FUTURE DIRECTIONS</h4>
<blockquote>
<p>None.</p>
</blockquote>
<h4><a name="tag_03_347_10"></a>SEE ALSO</h4>
<blockquote>
<p><a href="feclearexcept.html"><i>feclearexcept</i>()</a> , <a href="fetestexcept.html"><i>fetestexcept</i>()</a> , <a href=
"ilogb.html"><i>ilogb</i>()</a> , <a href="scalb.html"><i>scalb</i>()</a> , the Base Definitions volume of
IEEE&nbsp;Std&nbsp;1003.1-2001, <a href="../basedefs/xbd_chap04.html#tag_04_18">Section 4.18, Treatment of Error Conditions for
Mathematical Functions</a>, <a href="../basedefs/float.h.html"><i>&lt;float.h&gt;</i></a>, <a href=
"../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a></p>
</blockquote>
<h4><a name="tag_03_347_11"></a>CHANGE HISTORY</h4>
<blockquote>
<p>First released in Issue 4, Version 2.</p>
</blockquote>
<h4><a name="tag_03_347_12"></a>Issue 5</h4>
<blockquote>
<p>Moved from X/OPEN UNIX extension to BASE.</p>
</blockquote>
<h4><a name="tag_03_347_13"></a>Issue 6</h4>
<blockquote>
<p>The <i>logb</i>() function is no longer marked as an extension.</p>
<p>The <i>logbf</i>() and <i>logbl</i>() functions are added for alignment with the ISO/IEC&nbsp;9899:1999 standard.</p>
<p>The DESCRIPTION, RETURN VALUE, ERRORS, and APPLICATION USAGE sections are revised to align with the ISO/IEC&nbsp;9899:1999
standard.</p>
<p>IEC&nbsp;60559:1989 standard floating-point extensions over the ISO/IEC&nbsp;9899:1999 standard are marked.</p>
</blockquote>
<div class="box"><em>End of informative text.</em></div>
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