error: [bp,wf]=crule(m)
This function computes Gauss-Chebyshev base points and weight factors
using the algorithm given by somebody in 'SomeBook',
page 365, Academic Press, 1975, but modified by a change
in index variables: j=i+1 and m=n+1.
The weights are all wf_j=pi/m
and the base points are bp_j=cos((2j-1)*pi/2/m)
m -- number of Gauss-Chebyshev points (integrates a (2m-1)th order
polynomial exactly)
The Gauss-Chebyshev Quadrature integrates an integral of the form
1 m
Int ((1/sqrt(1-z^2)) f(z)) dz = pi/m Sum (f(cos((2j-1)*pi/2/m)))
-1 j=1
For compatability with the other Gauss Quadrature routines, I brought
the weight factor into the summation as
1 m
Int ((1/sqrt(1-z^2)) f(z)) dz = Sum (pi/m * f(cos((2j-1)*pi/2/m)))
-1 j=1