September  1 2007   9:02:34.757 AM
 
LAGUERRE_RULE
  FORTRAN90 version
 
  Compute a Gauss-Laguerre rule for approximating
 
    Integral ( A <= x < oo ) exp(-x) g(x) dx
 
  of order ORDER.
 
  For now, A is fixed at 0.0.
 
  The user specifies ORDER, OPTION, and OUTPUT.
 
  OPTION is:
 
    0 if the integrand is factored (standard rule):
      Integral ( A to oo ) exp(-x) f(x) dx
 
    1 if the integrand is NOT factored (modified rule):
      Integral ( A to oo )         f(x) dx
 
    For OPTION = 1, the weights of the standard rule
    are multiplied by exp(+x).
 
  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.
 
  Input summary:
 
  ORDER =         4
  A =         0.00000      (Not user input)
  OPTION =        1
  OUTPUT = "F90".
!
!  Weights W, abscissas X and range R
!  for a Gauss-Laguerre quadrature rule
!  ORDER =        4
!  A =        0.00000    
!
!  OPTION = 1, modified rule:
!    Integral ( A <= x < oo ) f(x) dx
!    is to be approximated by
!    sum ( 1 <= I <= ORDER ) w(i) * f(x(i)).
!
  w( 1) =   0.8327391238378899    
  w( 2) =    2.048102438454297    
  w( 3) =    3.631146305821518    
  w( 4) =    6.487145084407663    
 
  x( 1) =   0.3225476896193923    
  x( 2) =    1.745761101158346    
  x( 3) =    4.536620296921128    
  x( 4) =    9.395070912301133    
 
  r( 1) =    0.000000000000000    
  r( 2) =   0.1797693134862000+309
 
LAGUERRE_RULE:
  Normal end of execution.
 
September  1 2007   9:02:34.758 AM