>> chebyshev1_rule ( 4, 'F90' )
01-Mar-2008 17:18:26

CHEBYSHEV1_RULE
  MATLAB version

  Compute a Gauss-Chebyshev type 1 rule for approximating

    Integral ( -1 <= x <= +1 ) f(x)  / sqrt(1-x^2) 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 = "F90".
!
!  Weights W, abscissas X and range R
!  for a Gauss-Chebyshev type 1 quadrature rule
!  ORDER = 4
!
!  Standard rule:
!    Integral ( -1 <= x <= +1 ) f(x) / sqrt(1-x^2) dx
!    is to be approximated by
!    sum ( 1 <= I <= ORDER ) w(i) * f(x(i)).
!
  w(1) =       0.7853981633974483
  w(2) =       0.7853981633974483
  w(3) =       0.7853981633974483
  w(4) =       0.7853981633974483

  x(1) =      -0.9238795325112867
  x(2) =      -0.3826834323650897
  x(3) =       0.3826834323650898
  x(4) =       0.9238795325112867

  r(1) =      -1.0000000000000000
  r(2) =       1.0000000000000000

CHEBYSHEV1_RULE:
  Normal end of execution.

01-Mar-2008 17:18:26
>>