27 June 2009 09:39:01 PM

CLENSHAW_CURTIS_RULE
  C++ version

  Compiled on Jun 27 2009 at 21:35:17.

  Compute a Clenshaw Curtis rule for approximating

    Integral ( -1 <= x <= +1 ) f(x) dx

  of order ORDER.

  The user specifies ORDER and OUTPUT.

  OUTPUT is:

  "C++" for printed C++ output;
  "F77" for printed Fortran77 output;
  "F90" for printed Fortran90 output;
  "MAT" for printed MATLAB output;

  or:

  "filename" to generate 3 files:

    filename_w.txt - the weight file
    filename_x.txt - the abscissa file.
    filename_r.txt - the region file.

  The requested order of the rule is = 4

  OUTPUT option is "F77".
c
c  Weights W, abscissas X and range R
c  for a Clenshaw Curtis quadrature rule
c  ORDER = 4
c
c  Standard rule:
c    Integral ( -1 <= x <= +1 ) f(x) dx
c    is to be approximated by
c    sum ( 1 <= I <= ORDER ) w(i) * f(x(i)).
c
      w(1) = 0.1111111111111111
      w(2) = 0.8888888888888888
      w(3) = 0.8888888888888892
      w(4) = 0.1111111111111111

      x(1) = -1
      x(2) = -0.4999999999999998
      x(3) = 0.5000000000000001
      x(4) = 1

      r(1) = -1
      r(2) = 1

CLENSHAW_CURTIS_RULE:
  Normal end of execution.

27 June 2009 09:39:01 PM