toms793, a Fortran77 code which carries out Gauss quadrature for rational functions, by Walter Gautschi. This is commonly called gqrat(). This is a version of ACM TOMS algorithm 793.
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toms793 is available in a Fortran77 version.
quad_rule, a Fortran77 library which defines quadrature rules for approximating an integral over a 1D domain.
toms655, a Fortran77 library which computes the weights for interpolatory quadrature rules; this library is commonly called IQPACK; this is ACM toms algorithm 655.
toms726, a Fortran77 library which computes recursion coefficients for orthogonal polynomials, and the abscissa and weights for related quadrature rules; this library is commonly called ORTHPOL; this is ACM toms algorithm 726.