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<h3 class="section">7.12 Elementary Operations</h3>
<p><a name="index-elementary-operations-457"></a><a name="index-multiplication-458"></a>
The following functions allow for the propagation of errors when
combining quantities by multiplication. The functions are declared in
the header file <samp><span class="file">gsl_sf_elementary.h</span></samp>.
<!-- @deftypefun double gsl_sf_multiply (double @var{x}, double @var{y}) -->
<div class="defun">
— Function: int <b>gsl_sf_multiply_e</b> (<var>double x, double y, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fmultiply_005fe-459"></a></var><br>
<blockquote><p>This function multiplies <var>x</var> and <var>y</var> storing the product and its
associated error in <var>result</var>.
<!-- Exceptional Return Values: GSL_EOVRFLW, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_sf_multiply_err_e</b> (<var>double x, double dx, double y, double dy, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fmultiply_005ferr_005fe-460"></a></var><br>
<blockquote><p>This function multiplies <var>x</var> and <var>y</var> with associated absolute
errors <var>dx</var> and <var>dy</var>. The product
<!-- {$xy \pm xy \sqrt{(dx/x)^2 +(dy/y)^2}$} -->
xy +/- xy \sqrt((dx/x)^2 +(dy/y)^2)
is stored in <var>result</var>.
<!-- Exceptional Return Values: GSL_EOVRFLW, GSL_EUNDRFLW -->
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