1 September 2007   7:20:23.855 PM                                              
 
INT_EXACTNESS_LAGUERRE
  FORTRAN90 version
 
  Investigate the polynomial exactness of a Gauss-Laguerre
  quadrature rule by integrating exponentially weighted 
  monomials up to a given degree over the [0,oo) interval.
 
  The rule may be defined on another interval, [A,oo)
  in which case it is adjusted to the [0,oo) interval.
 
INT_EXACTNESS_LAGUERRE: User input:
  Quadrature rule X file = "lag_o1_modified_x.txt".
  Quadrature rule W file = "lag_o1_modified_w.txt".
  Quadrature rule R file = "lag_o1_modified_r.txt".
  Maximum degree to check =        5
 
  Spatial dimension =        1
  Number of points  =        1
 
  The quadrature rule to be tested is
  a Gauss-Laguerre rule
  of ORDER =        1
  with 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)).
 
  Weights W:
 
  w( 1) =    2.718281828459045    
 
  Abscissas X:
 
  x( 1) =   1.0000000000000000    
 
  Region R:
 
  r( 1) =    0.000000000000000    
  r( 2) =   0.1797693134862000    
 
  A Gauss-Laguerre rule would be able to exactly
  integrate monomials up to and including degree =        1
 
          Error          Degree  Exponents
 
        0.0000000000000000    0     0
        0.0000000000000000    1     1
        0.5000000000000000    2     2
        0.8333333333333334    3     3
        0.9583333333333334    4     4
        0.9916666666666667    5     5
 
INT_EXACTNESS_LAGUERRE:
  Normal end of execution.
 
 1 September 2007   7:20:23.887 PM