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<title>GNU Scientific Library &ndash; Reference Manual: Power Function</title>

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<a name="Power-Function"></a>
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<p>
Next: <a href="Psi-_0028Digamma_0029-Function.html#Psi-_0028Digamma_0029-Function" accesskey="n" rel="next">Psi (Digamma) Function</a>, Previous: <a href="Mathieu-Functions.html#Mathieu-Functions" accesskey="p" rel="previous">Mathieu Functions</a>, Up: <a href="Special-Functions.html#Special-Functions" accesskey="u" rel="up">Special Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Power-Function-1"></a>
<h3 class="section">7.27 Power Function</h3>
<a name="index-power-function"></a>
<a name="index-integer-powers"></a>

<p>The following functions are equivalent to the function <code>gsl_pow_int</code>
(see <a href="Small-integer-powers.html#Small-integer-powers">Small integer powers</a>) with an error estimate.  These functions are
declared in the header file <samp>gsl_sf_pow_int.h</samp>.
</p>
<dl>
<dt><a name="index-gsl_005fsf_005fpow_005fint"></a>Function: <em>double</em> <strong>gsl_sf_pow_int</strong> <em>(double <var>x</var>, int <var>n</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fpow_005fint_005fe"></a>Function: <em>int</em> <strong>gsl_sf_pow_int_e</strong> <em>(double <var>x</var>, int <var>n</var>, gsl_sf_result * <var>result</var>) </em></dt>
<dd><p>These routines compute the power <em>x^n</em> for integer <var>n</var>.  The
power is computed using the minimum number of multiplications. For
example, <em>x^8</em> is computed as <em>((x^2)^2)^2</em>, requiring only 3
multiplications.  For reasons of efficiency, these functions do not
check for overflow or underflow conditions.
</p></dd></dl>

<div class="example">
<pre class="example">#include &lt;gsl/gsl_sf_pow_int.h&gt;
/* compute 3.0**12 */
double y = gsl_sf_pow_int(3.0, 12); 
</pre></div>





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