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<basefont size="3"> <a name="&lt;tgmath.h&gt;"></a> <a name="tag_13_75"></a><!-- &lt;tgmath.h&gt; -->
<!--header start-->
<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_13_75_01"></a>NAME</h4>
<blockquote>tgmath.h - type-generic macros</blockquote>
<h4><a name="tag_13_75_02"></a>SYNOPSIS</h4>
<blockquote class="synopsis">
<p><tt>#include &lt;tgmath.h&gt;</tt></p>
</blockquote>
<h4><a name="tag_13_75_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>The <i>&lt;tgmath.h&gt;</i> header shall include the headers <a href="../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> and <a
href="../basedefs/complex.h.html"><i>&lt;complex.h&gt;</i></a> and shall define several type-generic macros.</p>
<p>Of the functions contained within the <a href="../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> and <a href=
"../basedefs/complex.h.html"><i>&lt;complex.h&gt;</i></a> headers without an <i>f</i> ( <b>float</b>) or <i>l</i> ( <b>long
double</b>) suffix, several have one or more parameters whose corresponding real type is <b>double</b>. For each such function,
except <a href="../functions/modf.html"><i>modf</i>()</a>, there shall be a corresponding type-generic macro. The parameters whose
corresponding real type is <b>double</b> in the function synopsis are generic parameters. Use of the macro invokes a function whose
corresponding real type and type domain are determined by the arguments for the generic parameters.</p>
<p>Use of the macro invokes a function whose generic parameters have the corresponding real type determined as follows:</p>
<ul>
<li>
<p>First, if any argument for generic parameters has type <b>long double</b>, the type determined is <b>long double</b>.</p>
</li>
<li>
<p>Otherwise, if any argument for generic parameters has type <b>double</b> or is of integer type, the type determined is
<b>double</b>.</p>
</li>
<li>
<p>Otherwise, the type determined is <b>float</b>.</p>
</li>
</ul>
<p>For each unsuffixed function in the <a href="../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> header for which there is a
function in the <a href="../basedefs/complex.h.html"><i>&lt;complex.h&gt;</i></a> header with the same name except for a <i>c</i>
prefix, the corresponding type-generic macro (for both functions) has the same name as the function in the <a href=
"../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> header. The corresponding type-generic macro for <a href=
"../functions/fabs.html"><i>fabs</i>()</a> and <a href="../functions/cabs.html"><i>cabs</i>()</a> is <a href=
"../functions/fabs.html"><i>fabs</i>()</a>.</p>
<blockquote>
<table border="1" cellpadding="3">
<tr valign="top">
<th align="center">
<p class="tent"><b>&lt;math.h&gt;</b></p>
</th>
<th align="center">
<p class="tent"><b>&lt;complex.h&gt;</b></p>
</th>
<th align="center">
<p class="tent"><b>Type-Generic</b></p>
</th>
</tr>
<tr valign="top">
<th align="center">
<p class="tent"><b>Function</b></p>
</th>
<th align="center">
<p class="tent"><b>Function</b></p>
</th>
<th align="center">
<p class="tent"><b>Macro</b></p>
</th>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>acos</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cacos</i>()</p>
</td>
<td align="left">
<p class="tent"><i>acos</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>asin</i>()</p>
</td>
<td align="left">
<p class="tent"><i>casin</i>()</p>
</td>
<td align="left">
<p class="tent"><i>asin</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>atan</i>()</p>
</td>
<td align="left">
<p class="tent"><i>catan</i>()</p>
</td>
<td align="left">
<p class="tent"><i>atan</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>acosh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cacosh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>acosh</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>asinh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>casinh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>asinh</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>atanh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>catanh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>atanh</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>cos</i>()</p>
</td>
<td align="left">
<p class="tent"><i>ccos</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cos</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>sin</i>()</p>
</td>
<td align="left">
<p class="tent"><i>csin</i>()</p>
</td>
<td align="left">
<p class="tent"><i>sin</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>tan</i>()</p>
</td>
<td align="left">
<p class="tent"><i>ctan</i>()</p>
</td>
<td align="left">
<p class="tent"><i>tan</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>cosh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>ccosh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cosh</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>sinh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>csinh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>sinh</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>tanh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>ctanh</i>()</p>
</td>
<td align="left">
<p class="tent"><i>tanh</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>exp</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cexp</i>()</p>
</td>
<td align="left">
<p class="tent"><i>exp</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>log</i>()</p>
</td>
<td align="left">
<p class="tent"><i>clog</i>()</p>
</td>
<td align="left">
<p class="tent"><i>log</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>pow</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cpow</i>()</p>
</td>
<td align="left">
<p class="tent"><i>pow</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>sqrt</i>()</p>
</td>
<td align="left">
<p class="tent"><i>csqrt</i>()</p>
</td>
<td align="left">
<p class="tent"><i>sqrt</i>()</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>fabs</i>()</p>
</td>
<td align="left">
<p class="tent"><i>cabs</i>()</p>
</td>
<td align="left">
<p class="tent"><i>fabs</i>()</p>
</td>
</tr>
</table>
</blockquote>
<p>If at least one argument for a generic parameter is complex, then use of the macro invokes a complex function; otherwise, use of
the macro invokes a real function.</p>
<p>For each unsuffixed function in the <a href="../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> header without a
<i>c</i>-prefixed counterpart in the <a href="../basedefs/complex.h.html"><i>&lt;complex.h&gt;</i></a> header, the corresponding
type-generic macro has the same name as the function. These type-generic macros are:</p>
<blockquote>
<table cellpadding="3">
<tr valign="top">
<td align="left">
<p class="tent"><br>
<a href="../functions/atan2.html"><i>atan2</i>()</a><br>
<a href="../functions/cbrt.html"><i>cbrt</i>()</a><br>
<a href="../functions/ceil.html"><i>ceil</i>()</a><br>
<a href="../functions/copysign.html"><i>copysign</i>()</a><br>
<a href="../functions/erf.html"><i>erf</i>()</a><br>
<a href="../functions/erfc.html"><i>erfc</i>()</a><br>
<a href="../functions/exp2.html"><i>exp2</i>()</a><br>
<a href="../functions/expm1.html"><i>expm1</i>()</a><br>
<a href="../functions/fdim.html"><i>fdim</i>()</a><br>
<a href="../functions/floor.html"><i>floor</i>()</a><br>
&nbsp;</p>
</td>
<td align="left">
<p class="tent"><br>
<a href="../functions/fma.html"><i>fma</i>()</a><br>
<a href="../functions/fmax.html"><i>fmax</i>()</a><br>
<a href="../functions/fmin.html"><i>fmin</i>()</a><br>
<a href="../functions/fmod.html"><i>fmod</i>()</a><br>
<a href="../functions/frexp.html"><i>frexp</i>()</a><br>
<a href="../functions/hypot.html"><i>hypot</i>()</a><br>
<a href="../functions/ilogb.html"><i>ilogb</i>()</a><br>
<a href="../functions/ldexp.html"><i>ldexp</i>()</a><br>
<a href="../functions/lgamma.html"><i>lgamma</i>()</a><br>
<a href="../functions/llrint.html"><i>llrint</i>()</a><br>
&nbsp;</p>
</td>
<td align="left">
<p class="tent"><br>
<a href="../functions/llround.html"><i>llround</i>()</a><br>
<a href="../functions/log10.html"><i>log10</i>()</a><br>
<a href="../functions/log1p.html"><i>log1p</i>()</a><br>
<a href="../functions/log2.html"><i>log2</i>()</a><br>
<a href="../functions/logb.html"><i>logb</i>()</a><br>
<a href="../functions/lrint.html"><i>lrint</i>()</a><br>
<a href="../functions/lround.html"><i>lround</i>()</a><br>
<a href="../functions/nearbyint.html"><i>nearbyint</i>()</a><br>
<a href="../functions/nextafter.html"><i>nextafter</i>()</a><br>
<a href="../functions/nexttoward.html"><i>nexttoward</i>()</a><br>
&nbsp;</p>
</td>
<td align="left">
<p class="tent"><br>
<a href="../functions/remainder.html"><i>remainder</i>()</a><br>
<a href="../functions/remquo.html"><i>remquo</i>()</a><br>
<a href="../functions/rint.html"><i>rint</i>()</a><br>
<a href="../functions/round.html"><i>round</i>()</a><br>
<a href="../functions/scalbn.html"><i>scalbn</i>()</a><br>
<a href="../functions/scalbln.html"><i>scalbln</i>()</a><br>
<a href="../functions/tgamma.html"><i>tgamma</i>()</a><br>
<a href="../functions/trunc.html"><i>trunc</i>()</a><br>
&nbsp;</p>
</td>
</tr>
</table>
</blockquote>
<p>If all arguments for generic parameters are real, then use of the macro invokes a real function; otherwise, use of the macro
results in undefined behavior.</p>
<p>For each unsuffixed function in the <a href="../basedefs/complex.h.html"><i>&lt;complex.h&gt;</i></a> header that is not a
<i>c</i>-prefixed counterpart to a function in the <a href="../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> header, the
corresponding type-generic macro has the same name as the function. These type-generic macros are:</p>
<blockquote>
<pre>
<a href="../functions/carg.html"><i>carg</i>()</a>
<a href="../functions/cimag.html"><i>cimag</i>()</a>
<a href="../functions/conj.html"><i>conj</i>()</a>
<a href="../functions/cproj.html"><i>cproj</i>()</a>
<a href="../functions/creal.html"><i>creal</i>()</a>
</pre>
</blockquote>
<p>Use of the macro with any real or complex argument invokes a complex function.</p>
</blockquote>
<hr>
<div class="box"><em>The following sections are informative.</em></div>
<h4><a name="tag_13_75_04"></a>APPLICATION USAGE</h4>
<blockquote>
<p>With the declarations:</p>
<pre>
<tt>#include &lt;tgmath.h&gt;
int n;
float f;
double d;
long double ld;
float complex fc;
double complex dc;
long double complex ldc;
</tt>
</pre>
<p>functions invoked by use of type-generic macros are shown in the following table:</p>
<table border="1" cellpadding="3">
<tr valign="top">
<th align="center">
<p class="tent"><b>Macro</b></p>
</th>
<th align="center">
<p class="tent"><b>Use Invokes</b></p>
</th>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>exp</i>(<i>n</i>)</p>
</td>
<td align="left">
<p class="tent"><i>exp</i>(<i>n</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>acosh</i>(<i>f</i>)</p>
</td>
<td align="left">
<p class="tent"><i>acoshf</i>(<i>f</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>sin</i>(<i>d</i>)</p>
</td>
<td align="left">
<p class="tent"><i>sin</i>(<i>d</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>atan</i>(<i>ld</i>)</p>
</td>
<td align="left">
<p class="tent"><i>atanl</i>(<i>ld</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>log</i>(<i>fc</i>)</p>
</td>
<td align="left">
<p class="tent"><i>clogf</i>(<i>fc</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>sqrt</i>(<i>dc</i>)</p>
</td>
<td align="left">
<p class="tent"><i>csqrt</i>(<i>dc</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>pow</i>(<i>ldc,f</i>)</p>
</td>
<td align="left">
<p class="tent"><i>cpowl</i>(<i>ldc, f</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>remainder</i>(<i>n,n</i>)</p>
</td>
<td align="left">
<p class="tent"><i>remainder</i>(<i>n, n</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>nextafter</i>(<i>d,f</i>)</p>
</td>
<td align="left">
<p class="tent"><i>nextafter</i>(<i>d, f</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>nexttoward</i>(<i>f,ld</i>)</p>
</td>
<td align="left">
<p class="tent"><i>nexttowardf</i>(<i>f, ld</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>copysign</i>(<i>n,ld</i>)</p>
</td>
<td align="left">
<p class="tent"><i>copysignl</i>(<i>n, ld</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>ceil</i>(<i>fc</i>)</p>
</td>
<td align="left">
<p class="tent">Undefined behavior</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>rint</i>(<i>dc</i>)</p>
</td>
<td align="left">
<p class="tent">Undefined behavior</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>fmax</i>(<i>ldc,ld</i>)</p>
</td>
<td align="left">
<p class="tent">Undefined behavior</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>carg</i>(<i>n</i>)</p>
</td>
<td align="left">
<p class="tent"><i>carg</i>(<i>n</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>cproj</i>(<i>f</i>)</p>
</td>
<td align="left">
<p class="tent"><i>cprojf</i>(<i>f</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>creal</i>(<i>d</i>)</p>
</td>
<td align="left">
<p class="tent"><i>creal</i>(<i>d</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>cimag</i>(<i>ld</i>)</p>
</td>
<td align="left">
<p class="tent"><i>cimagl</i>(<i>ld</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>cabs</i>(<i>fc</i>)</p>
</td>
<td align="left">
<p class="tent"><i>cabsf</i>(<i>fc</i>)</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>carg</i>(<i>dc</i>)</p>
</td>
<td align="left">
<p class="tent"><i>carg</i>(<i>dc</i>), the function</p>
</td>
</tr>
<tr valign="top">
<td align="left">
<p class="tent"><i>cproj</i>(<i>ldc</i>)</p>
</td>
<td align="left">
<p class="tent"><i>cprojl</i>(<i>ldc</i>)</p>
</td>
</tr>
</table>
</blockquote>
<h4><a name="tag_13_75_05"></a>RATIONALE</h4>
<blockquote>
<p>Type-generic macros allow calling a function whose type is determined by the argument type, as is the case for C operators such
as <tt>'+'</tt> and <tt>'*'</tt> . For example, with a type-generic <a href="../functions/cos.html"><i>cos</i>()</a> macro, the
expression <i>cos</i>(( <b>float</b>) <i>x</i>) will have type <b>float</b>. This feature enables writing more portably efficient
code and alleviates need for awkward casting and suffixing in the process of porting or adjusting precision. Generic math functions
are a widely appreciated feature of Fortran.</p>
<p>The only arguments that affect the type resolution are the arguments corresponding to the parameters that have type
<b>double</b> in the synopsis. Hence the type of a type-generic call to <a href=
"../functions/nexttoward.html"><i>nexttoward</i>()</a>, whose second parameter is <b>long double</b> in the synopsis, is determined
solely by the type of the first argument.</p>
<p>The term &quot;type-generic&quot; was chosen over the proposed alternatives of intrinsic and overloading. The term is more specific than
intrinsic, which already is widely used with a more general meaning, and reflects a closer match to Fortran's generic functions
than to C++ overloading.</p>
<p>The macros are placed in their own header in order not to silently break old programs that include the <a href=
"../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> header; for example, with:</p>
<pre>
<tt>printf ("%e", sin(x))
</tt>
</pre>
<p><i>modf</i>( <b>double</b>, <b>double *</b>) is excluded because no way was seen to make it safe without complicating the type
resolution.</p>
<p>The implementation might, as an extension, endow appropriate ones of the macros that IEEE&nbsp;Std&nbsp;1003.1-2001 specifies
only for real arguments with the ability to invoke the complex functions.</p>
<p>IEEE&nbsp;Std&nbsp;1003.1-2001 does not prescribe any particular implementation mechanism for generic macros. It could be
implemented simply with built-in macros. The generic macro for <a href="../functions/sqrt.html"><i>sqrt</i>()</a>, for example,
could be implemented with:</p>
<pre>
<tt>#undef sqrt
#define sqrt(x) __BUILTIN_GENERIC_sqrt(x)
</tt>
</pre>
<p>Generic macros are designed for a useful level of consistency with C++ overloaded math functions.</p>
<p>The great majority of existing C programs are expected to be unaffected when the <i>&lt;tgmath.h&gt;</i> header is included
instead of the <a href="../basedefs/math.h.html"><i>&lt;math.h&gt;</i></a> or <a href=
"../basedefs/complex.h.html"><i>&lt;complex.h&gt;</i></a> headers. Generic macros are similar to the ISO/IEC&nbsp;9899:1999
standard library masking macros, though the semantic types of return values differ.</p>
<p>The ability to overload on integer as well as floating types would have been useful for some functions; for example, <a href=
"../functions/copysign.html"><i>copysign</i>()</a>. Overloading with different numbers of arguments would have allowed reusing
names; for example, <a href="../functions/remainder.html"><i>remainder</i>()</a> for <a href=
"../functions/remquo.html"><i>remquo</i>()</a>. However, these facilities would have complicated the specification; and their
natural consistent use, such as for a floating <a href="../functions/abs.html"><i>abs</i>()</a> or a two-argument <a href=
"../functions/atan.html"><i>atan</i>()</a>, would have introduced further inconsistencies with the ISO/IEC&nbsp;9899:1999 standard
for insufficient benefit.</p>
<p>The ISO&nbsp;C standard in no way limits the implementation's options for efficiency, including inlining library functions.</p>
</blockquote>
<h4><a name="tag_13_75_06"></a>FUTURE DIRECTIONS</h4>
<blockquote>
<p>None.</p>
</blockquote>
<h4><a name="tag_13_75_07"></a>SEE ALSO</h4>
<blockquote>
<p><a href="math.h.html"><i>&lt;math.h&gt;</i></a> , <a href="complex.h.html"><i>&lt;complex.h&gt;</i></a> , the System Interfaces
volume of IEEE&nbsp;Std&nbsp;1003.1-2001, <a href="../functions/cabs.html"><i>cabs</i>()</a>, <a href=
"../functions/fabs.html"><i>fabs</i>()</a>, <a href="../functions/modf.html"><i>modf</i>()</a></p>
</blockquote>
<h4><a name="tag_13_75_08"></a>CHANGE HISTORY</h4>
<blockquote>
<p>First released in Issue 6. Included for alignment with the ISO/IEC&nbsp;9899:1999 standard.</p>
</blockquote>
<div class="box"><em>End of informative text.</em></div>
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