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<title>QAWC adaptive integration for Cauchy principal values - GNU Scientific Library -- Reference Manual</title>
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<h3 class="section">17.7 QAWC adaptive integration for Cauchy principal values</h3>
<p><a name="index-QAWC-quadrature-algorithm-1543"></a><a name="index-Cauchy-principal-value_002c-by-numerical-quadrature-1544"></a>
<div class="defun">
— Function: int <b>gsl_integration_qawc</b> (<var>gsl_function * f, double a, double b, double c, double epsabs, double epsrel, size_t limit, gsl_integration_workspace * workspace, double * result, double * abserr</var>)<var><a name="index-gsl_005fintegration_005fqawc-1545"></a></var><br>
<blockquote>
<p>This function computes the Cauchy principal value of the integral of
f over (a,b), with a singularity at <var>c</var>,
The adaptive bisection algorithm of QAG is used, with modifications to
ensure that subdivisions do not occur at the singular point x = c.
When a subinterval contains the point x = c or is close to
it then a special 25-point modified Clenshaw-Curtis rule is used to control
the singularity. Further away from the
singularity the algorithm uses an ordinary 15-point Gauss-Kronrod
integration rule.
</blockquote></div>
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